id	sid	tid	token	lemma	pos
fumecheng-12829	1	1	12892	12892	NUM
fumecheng-12829	1	2	facta	facta	PROPN
fumecheng-12829	1	3	universitatis	universitatis	PROPN
fumecheng-12829	1	4	series	series	NOUN
fumecheng-12829	1	5	:	:	PUNCT
fumecheng-12829	1	6	mechanical	mechanical	ADJ
fumecheng-12829	1	7	engineering	engineering	NOUN
fumecheng-12829	1	8	vol	vol	NOUN
fumecheng-12829	1	9	.	.	PROPN
fumecheng-12829	1	10	23	23	NUM
fumecheng-12829	1	11	,	,	PUNCT
fumecheng-12829	1	12	no	no	DET
fumecheng-12829	1	13	4	4	NUM
fumecheng-12829	1	14	,	,	PUNCT
fumecheng-12829	1	15	2025	2025	NUM
fumecheng-12829	1	16	,	,	PUNCT
fumecheng-12829	1	17	pp	pp	ADV
fumecheng-12829	1	18	.	.	PUNCT
fumecheng-12829	2	1	827	827	NUM
fumecheng-12829	2	2	860	860	NUM
fumecheng-12829	2	3	https://doi.org/10.22190/fume240920015	https://doi.org/10.22190/fume240920015	PROPN
fumecheng-12829	2	4	m	m	PROPN
fumecheng-12829	2	5	©	©	PROPN
fumecheng-12829	2	6	2025	2025	NUM
fumecheng-12829	2	7	by	by	ADP
fumecheng-12829	2	8	university	university	PROPN
fumecheng-12829	2	9	of	of	ADP
fumecheng-12829	2	10	niš	niš	PROPN
fumecheng-12829	2	11	,	,	PUNCT
fumecheng-12829	2	12	serbia	serbia	PROPN
fumecheng-12829	2	13	|	|	ADV
fumecheng-12829	2	14	creative	creative	ADJ
fumecheng-12829	2	15	commons	common	NOUN
fumecheng-12829	2	16	license	license	NOUN
fumecheng-12829	2	17	:	:	PUNCT
fumecheng-12829	2	18	cc	cc	VERB
fumecheng-12829	2	19	by	by	ADP
fumecheng-12829	2	20	-	-	PUNCT
fumecheng-12829	2	21	nc	nc	VERB
fumecheng-12829	2	22	-	-	PUNCT
fumecheng-12829	2	23	nd	nd	ADV
fumecheng-12829	2	24	original	original	ADJ
fumecheng-12829	2	25	scientific	scientific	ADJ
fumecheng-12829	2	26	paper	paper	NUM
fumecheng-12829	2	27	porosity	porosity	NOUN
fumecheng-12829	2	28	effects	effect	NOUN
fumecheng-12829	2	29	on	on	ADP
fumecheng-12829	2	30	nonlinear	nonlinear	ADJ
fumecheng-12829	2	31	static	static	ADJ
fumecheng-12829	2	32	performances	performance	NOUN
fumecheng-12829	2	33	of	of	ADP
fumecheng-12829	2	34	functionally	functionally	ADV
fumecheng-12829	2	35	graded	grade	VERB
fumecheng-12829	2	36	shells	shell	NOUN
fumecheng-12829	2	37	considering	consider	VERB
fumecheng-12829	2	38	thickness	thickness	NOUN
fumecheng-12829	2	39	stretching	stretch	VERB
fumecheng-12829	2	40	hanen	hanen	PROPN
fumecheng-12829	2	41	mallek1,2	mallek1,2	PROPN
fumecheng-12829	2	42	,	,	PUNCT
fumecheng-12829	2	43	hana	hana	PROPN
fumecheng-12829	2	44	mellouli2,3	mellouli2,3	PROPN
fumecheng-12829	2	45	,	,	PUNCT
fumecheng-12829	2	46	lotfi	lotfi	PROPN
fumecheng-12829	2	47	ben	ben	PROPN
fumecheng-12829	2	48	said4	said4	PROPN
fumecheng-12829	2	49	,	,	PUNCT
fumecheng-12829	2	50	mondher	mondher	ADJ
fumecheng-12829	2	51	wali2,5	wali2,5	PROPN
fumecheng-12829	2	52	,	,	PUNCT
fumecheng-12829	2	53	fakhreddine	fakhreddine	PROPN
fumecheng-12829	2	54	dammak2	dammak2	PROPN
fumecheng-12829	2	55	,	,	PUNCT
fumecheng-12829	2	56	muapper	muapper	NOUN
fumecheng-12829	2	57	alhadri4	alhadri4	NOUN
fumecheng-12829	3	1	1higher	1higher	NUM
fumecheng-12829	3	2	institute	institute	PROPN
fumecheng-12829	3	3	of	of	ADP
fumecheng-12829	3	4	applied	apply	VERB
fumecheng-12829	3	5	sciences	science	NOUN
fumecheng-12829	3	6	and	and	CCONJ
fumecheng-12829	3	7	technology	technology	NOUN
fumecheng-12829	3	8	of	of	ADP
fumecheng-12829	3	9	sousse	sousse	NOUN
fumecheng-12829	3	10	,	,	PUNCT
fumecheng-12829	3	11	issat	issat	NOUN
fumecheng-12829	3	12	sousse	sousse	PROPN
fumecheng-12829	3	13	,	,	PUNCT
fumecheng-12829	3	14	university	university	NOUN
fumecheng-12829	3	15	of	of	ADP
fumecheng-12829	3	16	sousse	sousse	PROPN
fumecheng-12829	3	17	,	,	PUNCT
fumecheng-12829	3	18	tunisia	tunisia	PROPN
fumecheng-12829	3	19	2laboratory	2laboratory	NUM
fumecheng-12829	3	20	of	of	ADP
fumecheng-12829	3	21	electrochemistry	electrochemistry	NOUN
fumecheng-12829	3	22	and	and	CCONJ
fumecheng-12829	3	23	environment	environment	NOUN
fumecheng-12829	3	24	(	(	PUNCT
fumecheng-12829	3	25	lee	lee	PROPN
fumecheng-12829	3	26	)	)	PUNCT
fumecheng-12829	3	27	,	,	PUNCT
fumecheng-12829	3	28	national	national	ADJ
fumecheng-12829	3	29	engineering	engineering	NOUN
fumecheng-12829	3	30	school	school	NOUN
fumecheng-12829	3	31	of	of	ADP
fumecheng-12829	3	32	sfax	sfax	NOUN
fumecheng-12829	3	33	,	,	PUNCT
fumecheng-12829	3	34	(	(	PUNCT
fumecheng-12829	3	35	enis	eni	NOUN
fumecheng-12829	3	36	)	)	PUNCT
fumecheng-12829	3	37	,	,	PUNCT
fumecheng-12829	3	38	university	university	NOUN
fumecheng-12829	3	39	of	of	ADP
fumecheng-12829	3	40	sfax	sfax	NOUN
fumecheng-12829	3	41	,	,	PUNCT
fumecheng-12829	3	42	tunisia	tunisia	NOUN
fumecheng-12829	3	43	3gafsa	3gafsa	NUM
fumecheng-12829	3	44	preparatory	preparatory	NOUN
fumecheng-12829	3	45	engineering	engineering	NOUN
fumecheng-12829	3	46	institute	institute	PROPN
fumecheng-12829	3	47	,	,	PUNCT
fumecheng-12829	3	48	ipei	ipei	PROPN
fumecheng-12829	3	49	gafsa	gafsa	PROPN
fumecheng-12829	3	50	,	,	PUNCT
fumecheng-12829	3	51	university	university	NOUN
fumecheng-12829	3	52	of	of	ADP
fumecheng-12829	3	53	gafsa	gafsa	NOUN
fumecheng-12829	3	54	,	,	PUNCT
fumecheng-12829	3	55	tunisia	tunisia	NOUN
fumecheng-12829	3	56	4department	4department	NUM
fumecheng-12829	3	57	of	of	ADP
fumecheng-12829	3	58	mechanical	mechanical	ADJ
fumecheng-12829	3	59	engineering	engineering	NOUN
fumecheng-12829	3	60	,	,	PUNCT
fumecheng-12829	3	61	college	college	NOUN
fumecheng-12829	3	62	of	of	ADP
fumecheng-12829	3	63	engineering	engineering	NOUN
fumecheng-12829	3	64	,	,	PUNCT
fumecheng-12829	3	65	university	university	NOUN
fumecheng-12829	3	66	of	of	ADP
fumecheng-12829	3	67	ha’il	ha’il	PROPN
fumecheng-12829	3	68	,	,	PUNCT
fumecheng-12829	3	69	ha’il	ha’il	PROPN
fumecheng-12829	3	70	city	city	PROPN
fumecheng-12829	3	71	,	,	PUNCT
fumecheng-12829	3	72	saudi	saudi	PROPN
fumecheng-12829	3	73	arabia	arabia	PROPN
fumecheng-12829	3	74	5higher	5higher	NUM
fumecheng-12829	3	75	school	school	NOUN
fumecheng-12829	3	76	of	of	ADP
fumecheng-12829	3	77	sciences	science	NOUN
fumecheng-12829	3	78	and	and	CCONJ
fumecheng-12829	3	79	technology	technology	NOUN
fumecheng-12829	3	80	of	of	ADP
fumecheng-12829	3	81	hammam	hammam	PROPN
fumecheng-12829	3	82	sousse	sousse	PROPN
fumecheng-12829	3	83	,	,	PUNCT
fumecheng-12829	3	84	essths	essth	NOUN
fumecheng-12829	3	85	,	,	PUNCT
fumecheng-12829	3	86	university	university	NOUN
fumecheng-12829	3	87	of	of	ADP
fumecheng-12829	3	88	sousse	sousse	PROPN
fumecheng-12829	3	89	,	,	PUNCT
fumecheng-12829	3	90	tunisia	tunisia	PROPN
fumecheng-12829	3	91	orcid	orcid	NOUN
fumecheng-12829	3	92	ids	id	NOUN
fumecheng-12829	3	93	:	:	PUNCT
fumecheng-12829	3	94	hanen	hanen	NOUN
fumecheng-12829	3	95	mallek	mallek	NOUN
fumecheng-12829	3	96	https://orcid.org/0000-0003-1681-9558	https://orcid.org/0000-0003-1681-9558	VERB
fumecheng-12829	3	97	hana	hana	PROPN
fumecheng-12829	3	98	mellouli	mellouli	PROPN
fumecheng-12829	3	99	https://orcid.org/0000-0001-6739-1550	https://orcid.org/0000-0001-6739-1550	PROPN
fumecheng-12829	3	100	lotfi	lotfi	PROPN
fumecheng-12829	3	101	ben	ben	PROPN
fumecheng-12829	3	102	said	say	VERB
fumecheng-12829	3	103	https://orcid.org/0000-0001-7652-3068	https://orcid.org/0000-0001-7652-3068	VERB
fumecheng-12829	3	104	mondher	mondher	ADV
fumecheng-12829	3	105	wali	wali	PROPN
fumecheng-12829	3	106	https://orcid.org/0000-0001-8384-8936	https://orcid.org/0000-0001-8384-8936	PROPN
fumecheng-12829	3	107	fakhreddine	fakhreddine	PROPN
fumecheng-12829	3	108	dammak	dammak	PROPN
fumecheng-12829	3	109	https://orcid.org/0000-0002-9629-671x	https://orcid.org/0000-0002-9629-671x	PROPN
fumecheng-12829	3	110	muapper	muapper	NOUN
fumecheng-12829	3	111	alhadri	alhadri	ADJ
fumecheng-12829	3	112	https://orcid.org/0000-0001-5848-5803	https://orcid.org/0000-0001-5848-5803	PROPN
fumecheng-12829	3	113	abstract	abstract	NOUN
fumecheng-12829	3	114	.	.	PUNCT
fumecheng-12829	4	1	this	this	DET
fumecheng-12829	4	2	study	study	NOUN
fumecheng-12829	4	3	delves	delve	VERB
fumecheng-12829	4	4	into	into	ADP
fumecheng-12829	4	5	the	the	DET
fumecheng-12829	4	6	intriguing	intriguing	ADJ
fumecheng-12829	4	7	realm	realm	NOUN
fumecheng-12829	4	8	of	of	ADP
fumecheng-12829	4	9	nonlinear	nonlinear	ADJ
fumecheng-12829	4	10	responses	response	NOUN
fumecheng-12829	4	11	exhibited	exhibit	VERB
fumecheng-12829	4	12	by	by	ADP
fumecheng-12829	4	13	porous	porous	ADJ
fumecheng-12829	4	14	functionally	functionally	ADV
fumecheng-12829	4	15	graded	grade	VERB
fumecheng-12829	4	16	(	(	PUNCT
fumecheng-12829	4	17	fg	fg	NOUN
fumecheng-12829	4	18	)	)	PUNCT
fumecheng-12829	4	19	3d	3d	NUM
fumecheng-12829	4	20	shell	shell	NOUN
fumecheng-12829	4	21	structure	structure	NOUN
fumecheng-12829	4	22	.	.	PUNCT
fumecheng-12829	5	1	a	a	DET
fumecheng-12829	5	2	power	power	NOUN
fumecheng-12829	5	3	law	law	NOUN
fumecheng-12829	5	4	approach	approach	NOUN
fumecheng-12829	5	5	is	be	AUX
fumecheng-12829	5	6	formulated	formulate	VERB
fumecheng-12829	5	7	to	to	PART
fumecheng-12829	5	8	simulate	simulate	VERB
fumecheng-12829	5	9	the	the	DET
fumecheng-12829	5	10	mechanical	mechanical	ADJ
fumecheng-12829	5	11	behavior	behavior	NOUN
fumecheng-12829	5	12	of	of	ADP
fumecheng-12829	5	13	fg	fg	PROPN
fumecheng-12829	5	14	materials	material	NOUN
fumecheng-12829	5	15	,	,	PUNCT
fumecheng-12829	5	16	considering	consider	VERB
fumecheng-12829	5	17	two	two	NUM
fumecheng-12829	5	18	distinct	distinct	ADJ
fumecheng-12829	5	19	porosity	porosity	NOUN
fumecheng-12829	5	20	distributions	distribution	NOUN
fumecheng-12829	5	21	.	.	PUNCT
fumecheng-12829	6	1	this	this	DET
fumecheng-12829	6	2	approach	approach	NOUN
fumecheng-12829	6	3	provides	provide	VERB
fumecheng-12829	6	4	a	a	DET
fumecheng-12829	6	5	comprehensive	comprehensive	ADJ
fumecheng-12829	6	6	exploration	exploration	NOUN
fumecheng-12829	6	7	of	of	ADP
fumecheng-12829	6	8	porosity	porosity	NOUN
fumecheng-12829	6	9	phenomena	phenomena	NOUN
fumecheng-12829	6	10	in	in	ADP
fumecheng-12829	6	11	fg	fg	PROPN
fumecheng-12829	6	12	materials	material	NOUN
fumecheng-12829	6	13	.	.	PUNCT
fumecheng-12829	7	1	the	the	DET
fumecheng-12829	7	2	finite	finite	PROPN
fumecheng-12829	7	3	element	element	NOUN
fumecheng-12829	7	4	(	(	PUNCT
fumecheng-12829	7	5	fe	fe	NOUN
fumecheng-12829	7	6	)	)	PUNCT
fumecheng-12829	7	7	formulation	formulation	NOUN
fumecheng-12829	7	8	is	be	AUX
fumecheng-12829	7	9	based	base	VERB
fumecheng-12829	7	10	on	on	ADP
fumecheng-12829	7	11	an	an	DET
fumecheng-12829	7	12	improved	improved	ADJ
fumecheng-12829	7	13	first	first	ADJ
fumecheng-12829	7	14	-	-	PUNCT
fumecheng-12829	7	15	order	order	NOUN
fumecheng-12829	7	16	shear	shear	NOUN
fumecheng-12829	7	17	deformation	deformation	NOUN
fumecheng-12829	7	18	theory	theory	NOUN
fumecheng-12829	7	19	(	(	PUNCT
fumecheng-12829	7	20	fsdt	fsdt	NOUN
fumecheng-12829	7	21	)	)	PUNCT
fumecheng-12829	7	22	with	with	ADP
fumecheng-12829	7	23	the	the	DET
fumecheng-12829	7	24	inclusion	inclusion	NOUN
fumecheng-12829	7	25	of	of	ADP
fumecheng-12829	7	26	thickness	thickness	NOUN
fumecheng-12829	7	27	stretching	stretch	VERB
fumecheng-12829	7	28	parameters	parameter	NOUN
fumecheng-12829	7	29	.	.	PUNCT
fumecheng-12829	8	1	the	the	DET
fumecheng-12829	8	2	theoretical	theoretical	ADJ
fumecheng-12829	8	3	framework	framework	NOUN
fumecheng-12829	8	4	improved	improve	VERB
fumecheng-12829	8	5	in	in	ADP
fumecheng-12829	8	6	this	this	DET
fumecheng-12829	8	7	manner	manner	NOUN
fumecheng-12829	8	8	provides	provide	VERB
fumecheng-12829	8	9	a	a	DET
fumecheng-12829	8	10	more	more	ADV
fumecheng-12829	8	11	accurate	accurate	ADJ
fumecheng-12829	8	12	representation	representation	NOUN
fumecheng-12829	8	13	of	of	ADP
fumecheng-12829	8	14	the	the	DET
fumecheng-12829	8	15	transverse	transverse	ADJ
fumecheng-12829	8	16	shear	shear	NOUN
fumecheng-12829	8	17	stress	stress	ADJ
fumecheng-12829	8	18	distribution	distribution	NOUN
fumecheng-12829	8	19	within	within	ADP
fumecheng-12829	8	20	the	the	DET
fumecheng-12829	8	21	structure	structure	NOUN
fumecheng-12829	8	22	,	,	PUNCT
fumecheng-12829	8	23	capturing	capture	VERB
fumecheng-12829	8	24	the	the	DET
fumecheng-12829	8	25	complexities	complexity	NOUN
fumecheng-12829	8	26	of	of	ADP
fumecheng-12829	8	27	its	its	PRON
fumecheng-12829	8	28	behavior	behavior	NOUN
fumecheng-12829	8	29	under	under	ADP
fumecheng-12829	8	30	loading	loading	NOUN
fumecheng-12829	8	31	conditions	condition	NOUN
fumecheng-12829	8	32	.	.	PUNCT
fumecheng-12829	9	1	this	this	DET
fumecheng-12829	9	2	research	research	NOUN
fumecheng-12829	9	3	enriches	enrich	VERB
fumecheng-12829	9	4	understanding	understanding	NOUN
fumecheng-12829	9	5	of	of	ADP
fumecheng-12829	9	6	fg	fg	PROPN
fumecheng-12829	9	7	materials	material	NOUN
fumecheng-12829	9	8	by	by	ADP
fumecheng-12829	9	9	integrating	integrate	VERB
fumecheng-12829	9	10	porosity	porosity	NOUN
fumecheng-12829	9	11	that	that	PRON
fumecheng-12829	9	12	may	may	AUX
fumecheng-12829	9	13	be	be	AUX
fumecheng-12829	9	14	distributed	distribute	VERB
fumecheng-12829	9	15	evenly	evenly	ADV
fumecheng-12829	9	16	or	or	CCONJ
fumecheng-12829	9	17	unevenly	unevenly	ADV
fumecheng-12829	9	18	,	,	PUNCT
fumecheng-12829	9	19	thus	thus	ADV
fumecheng-12829	9	20	contributing	contribute	VERB
fumecheng-12829	9	21	to	to	ADP
fumecheng-12829	9	22	the	the	DET
fumecheng-12829	9	23	advancements	advancement	NOUN
fumecheng-12829	9	24	in	in	ADP
fumecheng-12829	9	25	the	the	DET
fumecheng-12829	9	26	field	field	NOUN
fumecheng-12829	9	27	.	.	PUNCT
fumecheng-12829	10	1	key	key	ADJ
fumecheng-12829	10	2	words	word	NOUN
fumecheng-12829	10	3	:	:	PUNCT
fumecheng-12829	10	4	porous	porous	ADJ
fumecheng-12829	10	5	fgm	fgm	PROPN
fumecheng-12829	10	6	,	,	PUNCT
fumecheng-12829	10	7	thickness	thickness	NOUN
fumecheng-12829	10	8	stretching	stretching	NOUN
fumecheng-12829	10	9	,	,	PUNCT
fumecheng-12829	10	10	fe	fe	NOUN
fumecheng-12829	10	11	analyses	analysis	NOUN
fumecheng-12829	10	12	,	,	PUNCT
fumecheng-12829	10	13	porosity	porosity	NOUN
fumecheng-12829	10	14	,	,	PUNCT
fumecheng-12829	10	15	shell	shell	ADJ
fumecheng-12829	10	16	structure	structure	NOUN
fumecheng-12829	10	17	received	receive	VERB
fumecheng-12829	10	18	:	:	PUNCT
fumecheng-12829	10	19	september	september	PROPN
fumecheng-12829	10	20	20	20	NUM
fumecheng-12829	10	21	,	,	PUNCT
fumecheng-12829	10	22	2024	2024	NUM
fumecheng-12829	10	23	/	/	SYM
fumecheng-12829	10	24	accepted	accept	VERB
fumecheng-12829	10	25	april	april	PROPN
fumecheng-12829	10	26	05	05	NUM
fumecheng-12829	10	27	,	,	PUNCT
fumecheng-12829	10	28	2025	2025	NUM
fumecheng-12829	10	29	corresponding	correspond	VERB
fumecheng-12829	10	30	author	author	NOUN
fumecheng-12829	10	31	:	:	PUNCT
fumecheng-12829	10	32	hanen	hanen	NOUN
fumecheng-12829	10	33	mallek	mallek	NOUN
fumecheng-12829	10	34	laboratory	laboratory	NOUN
fumecheng-12829	10	35	of	of	ADP
fumecheng-12829	10	36	electrochemistry	electrochemistry	NOUN
fumecheng-12829	10	37	and	and	CCONJ
fumecheng-12829	10	38	environment	environment	NOUN
fumecheng-12829	10	39	(	(	PUNCT
fumecheng-12829	10	40	lee	lee	PROPN
fumecheng-12829	10	41	)	)	PUNCT
fumecheng-12829	10	42	,	,	PUNCT
fumecheng-12829	10	43	national	national	ADJ
fumecheng-12829	10	44	engineering	engineering	NOUN
fumecheng-12829	10	45	school	school	NOUN
fumecheng-12829	10	46	of	of	ADP
fumecheng-12829	10	47	sfax	sfax	NOUN
fumecheng-12829	10	48	,	,	PUNCT
fumecheng-12829	10	49	(	(	PUNCT
fumecheng-12829	10	50	enis	eni	NOUN
fumecheng-12829	10	51	)	)	PUNCT
fumecheng-12829	10	52	,	,	PUNCT
fumecheng-12829	10	53	university	university	NOUN
fumecheng-12829	10	54	of	of	ADP
fumecheng-12829	10	55	sfax	sfax	NOUN
fumecheng-12829	10	56	,	,	PUNCT
fumecheng-12829	10	57	route	route	NOUN
fumecheng-12829	10	58	de	de	X
fumecheng-12829	10	59	soukra	soukra	NOUN
fumecheng-12829	10	60	km	km	PROPN
fumecheng-12829	10	61	4	4	NUM
fumecheng-12829	10	62	,	,	PUNCT
fumecheng-12829	10	63	3038	3038	NUM
fumecheng-12829	10	64	sfax	sfax	NOUN
fumecheng-12829	10	65	,	,	PUNCT
fumecheng-12829	10	66	tunisia	tunisia	NOUN
fumecheng-12829	10	67	e	e	NOUN
fumecheng-12829	10	68	-	-	NOUN
fumecheng-12829	10	69	mail	mail	NOUN
fumecheng-12829	10	70	:	:	PUNCT
fumecheng-12829	10	71	hanen.mallek@enis.tn	hanen.mallek@enis.tn	NOUN
fumecheng-12829	10	72	828	828	NUM
fumecheng-12829	10	73	h.	h.	PROPN
fumecheng-12829	10	74	mallek	mallek	PROPN
fumecheng-12829	10	75	,	,	PUNCT
fumecheng-12829	10	76	h.	h.	PROPN
fumecheng-12829	10	77	mellouli	mellouli	PROPN
fumecheng-12829	10	78	,	,	PUNCT
fumecheng-12829	10	79	l.	l.	PROPN
fumecheng-12829	10	80	ben	ben	PROPN
fumecheng-12829	10	81	said	say	VERB
fumecheng-12829	10	82	,	,	PUNCT
fumecheng-12829	10	83	m.	m.	PROPN
fumecheng-12829	10	84	wali	wali	PROPN
fumecheng-12829	10	85	,	,	PUNCT
fumecheng-12829	10	86	f.	f.	PROPN
fumecheng-12829	10	87	dammak	dammak	PROPN
fumecheng-12829	10	88	,	,	PUNCT
fumecheng-12829	10	89	m.	m.	NOUN
fumecheng-12829	10	90	alhadri	alhadri	ADJ
fumecheng-12829	11	1	1	1	NUM
fumecheng-12829	11	2	.	.	PUNCT
fumecheng-12829	11	3	introduction	introduction	NOUN
fumecheng-12829	11	4	functionally	functionally	ADV
fumecheng-12829	11	5	graded	grade	VERB
fumecheng-12829	11	6	materials	material	NOUN
fumecheng-12829	11	7	(	(	PUNCT
fumecheng-12829	11	8	fgms	fgm	VERB
fumecheng-12829	11	9	)	)	PUNCT
fumecheng-12829	11	10	have	have	AUX
fumecheng-12829	11	11	garnered	garner	VERB
fumecheng-12829	11	12	increasing	increase	VERB
fumecheng-12829	11	13	interest	interest	NOUN
fumecheng-12829	11	14	in	in	ADP
fumecheng-12829	11	15	modern	modern	ADJ
fumecheng-12829	11	16	technologies	technology	NOUN
fumecheng-12829	11	17	over	over	ADP
fumecheng-12829	11	18	the	the	DET
fumecheng-12829	11	19	last	last	ADJ
fumecheng-12829	11	20	decades	decade	NOUN
fumecheng-12829	11	21	due	due	ADP
fumecheng-12829	11	22	to	to	ADP
fumecheng-12829	11	23	their	their	PRON
fumecheng-12829	11	24	unique	unique	ADJ
fumecheng-12829	11	25	composition	composition	NOUN
fumecheng-12829	11	26	,	,	PUNCT
fumecheng-12829	11	27	synthesized	synthesize	VERB
fumecheng-12829	11	28	from	from	ADP
fumecheng-12829	11	29	a	a	DET
fumecheng-12829	11	30	blend	blend	NOUN
fumecheng-12829	11	31	of	of	ADP
fumecheng-12829	11	32	two	two	NUM
fumecheng-12829	11	33	distinct	distinct	ADJ
fumecheng-12829	11	34	material	material	NOUN
fumecheng-12829	11	35	phases	phase	NOUN
fumecheng-12829	11	36	in	in	ADP
fumecheng-12829	11	37	specific	specific	ADJ
fumecheng-12829	11	38	volume	volume	NOUN
fumecheng-12829	11	39	ratios	ratio	NOUN
fumecheng-12829	11	40	.	.	PUNCT
fumecheng-12829	12	1	these	these	DET
fumecheng-12829	12	2	materials	material	NOUN
fumecheng-12829	12	3	exhibit	exhibit	VERB
fumecheng-12829	12	4	gradual	gradual	ADJ
fumecheng-12829	12	5	variations	variation	NOUN
fumecheng-12829	12	6	in	in	ADP
fumecheng-12829	12	7	properties	property	NOUN
fumecheng-12829	12	8	along	along	ADP
fumecheng-12829	12	9	specified	specified	ADJ
fumecheng-12829	12	10	directions	direction	NOUN
fumecheng-12829	12	11	,	,	PUNCT
fumecheng-12829	12	12	typically	typically	ADV
fumecheng-12829	12	13	through	through	ADP
fumecheng-12829	12	14	-	-	PUNCT
fumecheng-12829	12	15	thickness	thickness	NOUN
fumecheng-12829	12	16	,	,	PUNCT
fumecheng-12829	12	17	thereby	thereby	ADV
fumecheng-12829	12	18	mitigating	mitigate	VERB
fumecheng-12829	12	19	abrupt	abrupt	ADJ
fumecheng-12829	12	20	changes	change	NOUN
fumecheng-12829	12	21	in	in	ADP
fumecheng-12829	12	22	thermal	thermal	ADJ
fumecheng-12829	12	23	or	or	CCONJ
fumecheng-12829	12	24	mechanical	mechanical	ADJ
fumecheng-12829	12	25	properties	property	NOUN
fumecheng-12829	12	26	and	and	CCONJ
fumecheng-12829	12	27	reducing	reduce	VERB
fumecheng-12829	12	28	interlaminar	interlaminar	NOUN
fumecheng-12829	12	29	stresses	stress	NOUN
fumecheng-12829	12	30	.	.	PUNCT
fumecheng-12829	13	1	leveraging	leverage	VERB
fumecheng-12829	13	2	the	the	DET
fumecheng-12829	13	3	remarkable	remarkable	ADJ
fumecheng-12829	13	4	advantages	advantage	NOUN
fumecheng-12829	13	5	of	of	ADP
fumecheng-12829	13	6	fgms	fgm	VERB
fumecheng-12829	13	7	in	in	ADP
fumecheng-12829	13	8	industrial	industrial	ADJ
fumecheng-12829	13	9	and	and	CCONJ
fumecheng-12829	13	10	engineering	engineering	NOUN
fumecheng-12829	13	11	applications	application	NOUN
fumecheng-12829	13	12	,	,	PUNCT
fumecheng-12829	13	13	numerous	numerous	ADJ
fumecheng-12829	13	14	researchers	researcher	NOUN
fumecheng-12829	13	15	have	have	AUX
fumecheng-12829	13	16	focused	focus	VERB
fumecheng-12829	13	17	on	on	ADP
fumecheng-12829	13	18	analyzing	analyze	VERB
fumecheng-12829	13	19	the	the	DET
fumecheng-12829	13	20	behaviors	behavior	NOUN
fumecheng-12829	13	21	of	of	ADP
fumecheng-12829	13	22	fgm	fgm	PROPN
fumecheng-12829	13	23	plates	plate	NOUN
fumecheng-12829	13	24	and	and	CCONJ
fumecheng-12829	13	25	shell	shell	VERB
fumecheng-12829	13	26	structures	structure	NOUN
fumecheng-12829	13	27	using	use	VERB
fumecheng-12829	13	28	finite	finite	ADJ
fumecheng-12829	13	29	element	element	NOUN
fumecheng-12829	13	30	(	(	PUNCT
fumecheng-12829	13	31	fe	fe	NOUN
fumecheng-12829	13	32	)	)	PUNCT
fumecheng-12829	13	33	methods	method	NOUN
fumecheng-12829	13	34	[	[	X
fumecheng-12829	13	35	1	1	NUM
fumecheng-12829	13	36	]	]	PUNCT
fumecheng-12829	13	37	.	.	PUNCT
fumecheng-12829	14	1	recent	recent	ADJ
fumecheng-12829	14	2	studies	study	NOUN
fumecheng-12829	14	3	have	have	AUX
fumecheng-12829	14	4	also	also	ADV
fumecheng-12829	14	5	explored	explore	VERB
fumecheng-12829	14	6	the	the	DET
fumecheng-12829	14	7	integration	integration	NOUN
fumecheng-12829	14	8	of	of	ADP
fumecheng-12829	14	9	fgm	fgm	PROPN
fumecheng-12829	14	10	materials	material	NOUN
fumecheng-12829	14	11	with	with	ADP
fumecheng-12829	14	12	piezoelectric	piezoelectric	ADJ
fumecheng-12829	14	13	materials	material	NOUN
fumecheng-12829	14	14	to	to	PART
fumecheng-12829	14	15	create	create	VERB
fumecheng-12829	14	16	smart	smart	ADJ
fumecheng-12829	14	17	structural	structural	ADJ
fumecheng-12829	14	18	components	component	NOUN
fumecheng-12829	14	19	.	.	PUNCT
fumecheng-12829	15	1	for	for	ADP
fumecheng-12829	15	2	instance	instance	NOUN
fumecheng-12829	15	3	,	,	PUNCT
fumecheng-12829	15	4	mallek	mallek	VERB
fumecheng-12829	15	5	et	et	NOUN
fumecheng-12829	15	6	al	al	PROPN
fumecheng-12829	15	7	.	.	PUNCT
fumecheng-12829	16	1	[	[	X
fumecheng-12829	16	2	2	2	NUM
fumecheng-12829	16	3	]	]	PUNCT
fumecheng-12829	16	4	investigated	investigate	VERB
fumecheng-12829	16	5	the	the	DET
fumecheng-12829	16	6	piezoelastic	piezoelastic	ADJ
fumecheng-12829	16	7	response	response	NOUN
fumecheng-12829	16	8	of	of	ADP
fumecheng-12829	16	9	fgm	fgm	PROPN
fumecheng-12829	16	10	shells	shell	NOUN
fumecheng-12829	16	11	embedded	embed	VERB
fumecheng-12829	16	12	with	with	ADP
fumecheng-12829	16	13	intelligent	intelligent	ADJ
fumecheng-12829	16	14	materials	material	NOUN
fumecheng-12829	16	15	under	under	ADP
fumecheng-12829	16	16	mechanical	mechanical	ADJ
fumecheng-12829	16	17	and	and	CCONJ
fumecheng-12829	16	18	electrical	electrical	ADJ
fumecheng-12829	16	19	loads	load	NOUN
fumecheng-12829	16	20	,	,	PUNCT
fumecheng-12829	16	21	highlighting	highlight	VERB
fumecheng-12829	16	22	the	the	DET
fumecheng-12829	16	23	potential	potential	NOUN
fumecheng-12829	16	24	for	for	ADP
fumecheng-12829	16	25	advanced	advanced	ADJ
fumecheng-12829	16	26	multifunctional	multifunctional	ADJ
fumecheng-12829	16	27	applications	application	NOUN
fumecheng-12829	16	28	in	in	ADP
fumecheng-12829	16	29	structural	structural	ADJ
fumecheng-12829	16	30	engineering	engineering	NOUN
fumecheng-12829	16	31	.	.	PUNCT
fumecheng-12829	17	1	the	the	DET
fumecheng-12829	17	2	materials	material	NOUN
fumecheng-12829	17	3	industry	industry	NOUN
fumecheng-12829	17	4	has	have	AUX
fumecheng-12829	17	5	witnessed	witness	VERB
fumecheng-12829	17	6	a	a	DET
fumecheng-12829	17	7	significant	significant	ADJ
fumecheng-12829	17	8	evolution	evolution	NOUN
fumecheng-12829	17	9	,	,	PUNCT
fumecheng-12829	17	10	with	with	ADP
fumecheng-12829	17	11	porous	porous	ADJ
fumecheng-12829	17	12	materials	material	NOUN
fumecheng-12829	17	13	gaining	gain	VERB
fumecheng-12829	17	14	prevalence	prevalence	NOUN
fumecheng-12829	17	15	owing	owe	VERB
fumecheng-12829	17	16	to	to	ADP
fumecheng-12829	17	17	their	their	PRON
fumecheng-12829	17	18	distinct	distinct	ADJ
fumecheng-12829	17	19	characteristics	characteristic	NOUN
fumecheng-12829	17	20	,	,	PUNCT
fumecheng-12829	17	21	including	include	VERB
fumecheng-12829	17	22	lightweight	lightweight	ADJ
fumecheng-12829	17	23	nature	nature	NOUN
fumecheng-12829	17	24	,	,	PUNCT
fumecheng-12829	17	25	excellent	excellent	ADJ
fumecheng-12829	17	26	energy	energy	NOUN
fumecheng-12829	17	27	absorption	absorption	NOUN
fumecheng-12829	17	28	,	,	PUNCT
fumecheng-12829	17	29	and	and	CCONJ
fumecheng-12829	17	30	heat	heat	NOUN
fumecheng-12829	17	31	resistance	resistance	NOUN
fumecheng-12829	17	32	[	[	X
fumecheng-12829	17	33	3	3	NUM
fumecheng-12829	17	34	]	]	PUNCT
fumecheng-12829	17	35	.	.	PUNCT
fumecheng-12829	18	1	these	these	DET
fumecheng-12829	18	2	attributes	attribute	NOUN
fumecheng-12829	18	3	have	have	AUX
fumecheng-12829	18	4	motivated	motivate	VERB
fumecheng-12829	18	5	the	the	DET
fumecheng-12829	18	6	emergence	emergence	NOUN
fumecheng-12829	18	7	of	of	ADP
fumecheng-12829	18	8	a	a	DET
fumecheng-12829	18	9	novel	novel	ADJ
fumecheng-12829	18	10	category	category	NOUN
fumecheng-12829	18	11	of	of	ADP
fumecheng-12829	18	12	lightweight	lightweight	ADJ
fumecheng-12829	18	13	materials	material	NOUN
fumecheng-12829	18	14	known	know	VERB
fumecheng-12829	18	15	as	as	ADP
fumecheng-12829	18	16	functionally	functionally	ADV
fumecheng-12829	18	17	graded	grade	VERB
fumecheng-12829	18	18	porous	porous	ADJ
fumecheng-12829	18	19	(	(	PUNCT
fumecheng-12829	18	20	fgp	fgp	ADJ
fumecheng-12829	18	21	)	)	PUNCT
fumecheng-12829	18	22	materials	material	NOUN
fumecheng-12829	18	23	,	,	PUNCT
fumecheng-12829	18	24	characterized	characterize	VERB
fumecheng-12829	18	25	by	by	ADP
fumecheng-12829	18	26	a	a	DET
fumecheng-12829	18	27	graded	grade	VERB
fumecheng-12829	18	28	distribution	distribution	NOUN
fumecheng-12829	18	29	of	of	ADP
fumecheng-12829	18	30	internal	internal	ADJ
fumecheng-12829	18	31	pores	pore	NOUN
fumecheng-12829	18	32	within	within	ADP
fumecheng-12829	18	33	the	the	DET
fumecheng-12829	18	34	microstructural	microstructural	ADJ
fumecheng-12829	18	35	section	section	NOUN
fumecheng-12829	18	36	[	[	X
fumecheng-12829	18	37	4	4	NUM
fumecheng-12829	18	38	]	]	PUNCT
fumecheng-12829	18	39	.	.	PUNCT
fumecheng-12829	19	1	fgp	fgp	ADJ
fumecheng-12829	19	2	materials	material	NOUN
fumecheng-12829	19	3	,	,	PUNCT
fumecheng-12829	19	4	offering	offer	VERB
fumecheng-12829	19	5	unique	unique	ADJ
fumecheng-12829	19	6	mechanical	mechanical	ADJ
fumecheng-12829	19	7	properties	property	NOUN
fumecheng-12829	19	8	,	,	PUNCT
fumecheng-12829	19	9	have	have	AUX
fumecheng-12829	19	10	recently	recently	ADV
fumecheng-12829	19	11	found	find	VERB
fumecheng-12829	19	12	applications	application	NOUN
fumecheng-12829	19	13	in	in	ADP
fumecheng-12829	19	14	various	various	ADJ
fumecheng-12829	19	15	domains	domain	NOUN
fumecheng-12829	19	16	,	,	PUNCT
fumecheng-12829	19	17	including	include	VERB
fumecheng-12829	19	18	static	static	ADJ
fumecheng-12829	19	19	,	,	PUNCT
fumecheng-12829	19	20	free	free	ADJ
fumecheng-12829	19	21	vibration	vibration	NOUN
fumecheng-12829	19	22	,	,	PUNCT
fumecheng-12829	19	23	and	and	CCONJ
fumecheng-12829	19	24	dynamic	dynamic	ADJ
fumecheng-12829	19	25	analysis	analysis	NOUN
fumecheng-12829	19	26	.	.	PUNCT
fumecheng-12829	20	1	numerous	numerous	ADJ
fumecheng-12829	20	2	studies	study	NOUN
fumecheng-12829	20	3	have	have	AUX
fumecheng-12829	20	4	investigated	investigate	VERB
fumecheng-12829	20	5	both	both	CCONJ
fumecheng-12829	20	6	linear	linear	ADJ
fumecheng-12829	20	7	and	and	CCONJ
fumecheng-12829	20	8	nonlinear	nonlinear	ADJ
fumecheng-12829	20	9	behaviors	behavior	NOUN
fumecheng-12829	20	10	of	of	ADP
fumecheng-12829	20	11	fgp	fgp	ADJ
fumecheng-12829	20	12	beams	beam	NOUN
fumecheng-12829	20	13	[	[	X
fumecheng-12829	20	14	5	5	NUM
fumecheng-12829	20	15	-	-	SYM
fumecheng-12829	20	16	7	7	NUM
fumecheng-12829	20	17	]	]	PUNCT
fumecheng-12829	20	18	.	.	PUNCT
fumecheng-12829	21	1	for	for	ADP
fumecheng-12829	21	2	instance	instance	NOUN
fumecheng-12829	21	3	,	,	PUNCT
fumecheng-12829	21	4	wang	wang	PROPN
fumecheng-12829	21	5	and	and	CCONJ
fumecheng-12829	21	6	wu	wu	PROPN
fumecheng-12829	22	1	[	[	X
fumecheng-12829	22	2	8	8	NUM
fumecheng-12829	22	3	]	]	PUNCT
fumecheng-12829	22	4	conducted	conduct	VERB
fumecheng-12829	22	5	free	free	ADJ
fumecheng-12829	22	6	vibration	vibration	NOUN
fumecheng-12829	22	7	analysis	analysis	NOUN
fumecheng-12829	22	8	of	of	ADP
fumecheng-12829	22	9	cylindrical	cylindrical	ADJ
fumecheng-12829	22	10	porous	porous	ADJ
fumecheng-12829	22	11	fg	fg	NOUN
fumecheng-12829	22	12	shells	shell	NOUN
fumecheng-12829	22	13	,	,	PUNCT
fumecheng-12829	22	14	combining	combine	VERB
fumecheng-12829	22	15	sinusoidal	sinusoidal	ADJ
fumecheng-12829	22	16	shear	shear	NOUN
fumecheng-12829	22	17	deformation	deformation	NOUN
fumecheng-12829	22	18	theory	theory	NOUN
fumecheng-12829	22	19	with	with	ADP
fumecheng-12829	22	20	the	the	DET
fumecheng-12829	22	21	rayleigh	rayleigh	PROPN
fumecheng-12829	22	22	-	-	PUNCT
fumecheng-12829	22	23	ritz	ritz	PROPN
fumecheng-12829	22	24	method	method	NOUN
fumecheng-12829	22	25	to	to	PART
fumecheng-12829	22	26	discern	discern	VERB
fumecheng-12829	22	27	the	the	DET
fumecheng-12829	22	28	effect	effect	NOUN
fumecheng-12829	22	29	of	of	ADP
fumecheng-12829	22	30	graded	grade	VERB
fumecheng-12829	22	31	porosity	porosity	NOUN
fumecheng-12829	22	32	on	on	ADP
fumecheng-12829	22	33	structural	structural	ADJ
fumecheng-12829	22	34	characteristics	characteristic	NOUN
fumecheng-12829	22	35	.	.	PUNCT
fumecheng-12829	23	1	additionally	additionally	ADV
fumecheng-12829	23	2	,	,	PUNCT
fumecheng-12829	23	3	nguyen	nguyen	NOUN
fumecheng-12829	23	4	et	et	PROPN
fumecheng-12829	23	5	al	al	PROPN
fumecheng-12829	23	6	.	.	PUNCT
fumecheng-12829	24	1	[	[	X
fumecheng-12829	24	2	9	9	NUM
fumecheng-12829	24	3	]	]	PUNCT
fumecheng-12829	24	4	proposed	propose	VERB
fumecheng-12829	24	5	an	an	DET
fumecheng-12829	24	6	efficient	efficient	ADJ
fumecheng-12829	24	7	approach	approach	NOUN
fumecheng-12829	24	8	based	base	VERB
fumecheng-12829	24	9	on	on	ADP
fumecheng-12829	24	10	the	the	DET
fumecheng-12829	24	11	polygonal	polygonal	ADJ
fumecheng-12829	24	12	finite	finite	ADJ
fumecheng-12829	24	13	element	element	NOUN
fumecheng-12829	24	14	(	(	PUNCT
fumecheng-12829	24	15	fe	fe	NOUN
fumecheng-12829	24	16	)	)	PUNCT
fumecheng-12829	24	17	method	method	NOUN
fumecheng-12829	24	18	to	to	PART
fumecheng-12829	24	19	predict	predict	VERB
fumecheng-12829	24	20	static	static	ADJ
fumecheng-12829	24	21	and	and	CCONJ
fumecheng-12829	24	22	free	free	ADJ
fumecheng-12829	24	23	vibration	vibration	NOUN
fumecheng-12829	24	24	responses	response	NOUN
fumecheng-12829	24	25	of	of	ADP
fumecheng-12829	24	26	fgp	fgp	ADJ
fumecheng-12829	24	27	plates	plate	NOUN
fumecheng-12829	24	28	reinforced	reinforce	VERB
fumecheng-12829	24	29	with	with	ADP
fumecheng-12829	24	30	graphene	graphene	NOUN
fumecheng-12829	24	31	platelets	platelet	NOUN
fumecheng-12829	24	32	(	(	PUNCT
fumecheng-12829	24	33	gpls	gpls	NOUN
fumecheng-12829	24	34	)	)	PUNCT
fumecheng-12829	24	35	,	,	PUNCT
fumecheng-12829	24	36	considering	consider	VERB
fumecheng-12829	24	37	various	various	ADJ
fumecheng-12829	24	38	porosity	porosity	NOUN
fumecheng-12829	24	39	distributions	distribution	NOUN
fumecheng-12829	24	40	.	.	PUNCT
fumecheng-12829	25	1	subsequent	subsequent	ADJ
fumecheng-12829	25	2	works	work	NOUN
fumecheng-12829	25	3	by	by	ADP
fumecheng-12829	25	4	other	other	ADJ
fumecheng-12829	25	5	authors	author	NOUN
fumecheng-12829	25	6	[	[	X
fumecheng-12829	25	7	10	10	NUM
fumecheng-12829	25	8	-	-	SYM
fumecheng-12829	25	9	12	12	NUM
fumecheng-12829	25	10	]	]	PUNCT
fumecheng-12829	25	11	have	have	AUX
fumecheng-12829	25	12	explored	explore	VERB
fumecheng-12829	25	13	the	the	DET
fumecheng-12829	25	14	bending	bending	NOUN
fumecheng-12829	25	15	,	,	PUNCT
fumecheng-12829	25	16	buckling	buckling	NOUN
fumecheng-12829	25	17	,	,	PUNCT
fumecheng-12829	25	18	and	and	CCONJ
fumecheng-12829	25	19	vibration	vibration	NOUN
fumecheng-12829	25	20	behaviors	behavior	NOUN
fumecheng-12829	25	21	of	of	ADP
fumecheng-12829	25	22	fgp	fgp	ADJ
fumecheng-12829	25	23	structures	structure	NOUN
fumecheng-12829	25	24	,	,	PUNCT
fumecheng-12829	25	25	highlighting	highlight	VERB
fumecheng-12829	25	26	the	the	DET
fumecheng-12829	25	27	influence	influence	NOUN
fumecheng-12829	25	28	of	of	ADP
fumecheng-12829	25	29	porosity	porosity	NOUN
fumecheng-12829	25	30	distributions	distribution	NOUN
fumecheng-12829	25	31	and	and	CCONJ
fumecheng-12829	25	32	mechanical	mechanical	ADJ
fumecheng-12829	25	33	properties	property	NOUN
fumecheng-12829	25	34	.	.	PUNCT
fumecheng-12829	26	1	notably	notably	ADV
fumecheng-12829	26	2	,	,	PUNCT
fumecheng-12829	26	3	zghal	zghal	NOUN
fumecheng-12829	26	4	and	and	CCONJ
fumecheng-12829	26	5	dammak	dammak	PROPN
fumecheng-12829	26	6	[	[	X
fumecheng-12829	26	7	13	13	NUM
fumecheng-12829	26	8	,	,	PUNCT
fumecheng-12829	26	9	14	14	NUM
fumecheng-12829	26	10	]	]	PUNCT
fumecheng-12829	26	11	investigated	investigate	VERB
fumecheng-12829	26	12	buckling	buckling	NOUN
fumecheng-12829	26	13	responses	response	NOUN
fumecheng-12829	26	14	and	and	CCONJ
fumecheng-12829	26	15	vibrational	vibrational	ADJ
fumecheng-12829	26	16	behavior	behavior	NOUN
fumecheng-12829	26	17	of	of	ADP
fumecheng-12829	26	18	fgp	fgp	ADJ
fumecheng-12829	26	19	plates	plate	NOUN
fumecheng-12829	26	20	and	and	CCONJ
fumecheng-12829	26	21	shells	shell	NOUN
fumecheng-12829	26	22	with	with	ADP
fumecheng-12829	26	23	varying	vary	VERB
fumecheng-12829	26	24	mechanical	mechanical	ADJ
fumecheng-12829	26	25	properties	property	NOUN
fumecheng-12829	26	26	using	use	VERB
fumecheng-12829	26	27	a	a	DET
fumecheng-12829	26	28	mixed	mixed	ADJ
fumecheng-12829	26	29	fe	fe	NOUN
fumecheng-12829	26	30	formulation	formulation	NOUN
fumecheng-12829	26	31	,	,	PUNCT
fumecheng-12829	26	32	emphasizing	emphasize	VERB
fumecheng-12829	26	33	the	the	DET
fumecheng-12829	26	34	critical	critical	ADJ
fumecheng-12829	26	35	role	role	NOUN
fumecheng-12829	26	36	of	of	ADP
fumecheng-12829	26	37	porosity	porosity	NOUN
fumecheng-12829	26	38	percentages	percentage	NOUN
fumecheng-12829	26	39	and	and	CCONJ
fumecheng-12829	26	40	distributions	distribution	NOUN
fumecheng-12829	26	41	.	.	PUNCT
fumecheng-12829	27	1	the	the	DET
fumecheng-12829	27	2	literature	literature	NOUN
fumecheng-12829	27	3	review	review	NOUN
fumecheng-12829	27	4	underscores	underscore	VERB
fumecheng-12829	27	5	the	the	DET
fumecheng-12829	27	6	importance	importance	NOUN
fumecheng-12829	27	7	of	of	ADP
fumecheng-12829	27	8	considering	consider	VERB
fumecheng-12829	27	9	porosity	porosity	NOUN
fumecheng-12829	27	10	effects	effect	NOUN
fumecheng-12829	27	11	and	and	CCONJ
fumecheng-12829	27	12	distributions	distribution	NOUN
fumecheng-12829	27	13	in	in	ADP
fumecheng-12829	27	14	predicting	predict	VERB
fumecheng-12829	27	15	the	the	DET
fumecheng-12829	27	16	mechanical	mechanical	ADJ
fumecheng-12829	27	17	behavior	behavior	NOUN
fumecheng-12829	27	18	of	of	ADP
fumecheng-12829	27	19	fgp	fgp	ADJ
fumecheng-12829	27	20	materials	material	NOUN
fumecheng-12829	27	21	.	.	PUNCT
fumecheng-12829	28	1	indeed	indeed	ADV
fumecheng-12829	28	2	,	,	PUNCT
fumecheng-12829	28	3	wattanasakulpong	wattanasakulpong	PROPN
fumecheng-12829	28	4	et	et	PROPN
fumecheng-12829	28	5	al	al	PROPN
fumecheng-12829	28	6	.	.	PUNCT
fumecheng-12829	29	1	[	[	X
fumecheng-12829	29	2	5	5	NUM
fumecheng-12829	29	3	]	]	PUNCT
fumecheng-12829	29	4	demonstrated	demonstrate	VERB
fumecheng-12829	29	5	the	the	DET
fumecheng-12829	29	6	emergence	emergence	NOUN
fumecheng-12829	29	7	of	of	ADP
fumecheng-12829	29	8	porosity	porosity	NOUN
fumecheng-12829	29	9	and	and	CCONJ
fumecheng-12829	29	10	micro	micro	NOUN
fumecheng-12829	29	11	-	-	NOUN
fumecheng-12829	29	12	voids	voids	NOUN
fumecheng-12829	29	13	during	during	ADP
fumecheng-12829	29	14	the	the	DET
fumecheng-12829	29	15	multi	multi	ADJ
fumecheng-12829	29	16	-	-	ADJ
fumecheng-12829	29	17	step	step	ADJ
fumecheng-12829	29	18	infiltration	infiltration	NOUN
fumecheng-12829	29	19	technique	technique	NOUN
fumecheng-12829	29	20	in	in	ADP
fumecheng-12829	29	21	layered	layered	ADJ
fumecheng-12829	29	22	fgms	fgm	VERB
fumecheng-12829	29	23	,	,	PUNCT
fumecheng-12829	29	24	attributed	attribute	VERB
fumecheng-12829	29	25	to	to	ADP
fumecheng-12829	29	26	solidification	solidification	NOUN
fumecheng-12829	29	27	temperature	temperature	NOUN
fumecheng-12829	29	28	differences	difference	NOUN
fumecheng-12829	29	29	among	among	ADP
fumecheng-12829	29	30	material	material	ADJ
fumecheng-12829	29	31	phases	phase	NOUN
fumecheng-12829	29	32	.	.	PUNCT
fumecheng-12829	30	1	two	two	NUM
fumecheng-12829	30	2	models	model	NOUN
fumecheng-12829	30	3	for	for	ADP
fumecheng-12829	30	4	studying	study	VERB
fumecheng-12829	30	5	the	the	DET
fumecheng-12829	30	6	mechanical	mechanical	ADJ
fumecheng-12829	30	7	behaviors	behavior	NOUN
fumecheng-12829	30	8	of	of	ADP
fumecheng-12829	30	9	fgp	fgp	ADJ
fumecheng-12829	30	10	materials	material	NOUN
fumecheng-12829	30	11	have	have	AUX
fumecheng-12829	30	12	been	be	AUX
fumecheng-12829	30	13	proposed	propose	VERB
fumecheng-12829	30	14	:	:	PUNCT
fumecheng-12829	30	15	one	one	NUM
fumecheng-12829	30	16	based	base	VERB
fumecheng-12829	30	17	on	on	ADP
fumecheng-12829	30	18	mixture	mixture	NOUN
fumecheng-12829	30	19	rules	rule	NOUN
fumecheng-12829	30	20	,	,	PUNCT
fumecheng-12829	30	21	assuming	assume	VERB
fumecheng-12829	30	22	continuous	continuous	ADJ
fumecheng-12829	30	23	variation	variation	NOUN
fumecheng-12829	30	24	of	of	ADP
fumecheng-12829	30	25	effective	effective	ADJ
fumecheng-12829	30	26	material	material	NOUN
fumecheng-12829	30	27	properties	property	NOUN
fumecheng-12829	30	28	and	and	CCONJ
fumecheng-12829	30	29	even	even	ADV
fumecheng-12829	30	30	or	or	CCONJ
fumecheng-12829	30	31	uneven	uneven	ADJ
fumecheng-12829	30	32	dispersion	dispersion	NOUN
fumecheng-12829	30	33	of	of	ADP
fumecheng-12829	30	34	porosities	porosity	NOUN
fumecheng-12829	30	35	[	[	X
fumecheng-12829	30	36	15	15	NUM
fumecheng-12829	30	37	]	]	PUNCT
fumecheng-12829	30	38	,	,	PUNCT
fumecheng-12829	30	39	and	and	CCONJ
fumecheng-12829	30	40	another	another	PRON
fumecheng-12829	30	41	employing	employ	VERB
fumecheng-12829	30	42	a	a	DET
fumecheng-12829	30	43	specific	specific	ADJ
fumecheng-12829	30	44	continuous	continuous	ADJ
fumecheng-12829	30	45	function	function	NOUN
fumecheng-12829	30	46	to	to	PART
fumecheng-12829	30	47	determine	determine	VERB
fumecheng-12829	30	48	porous	porous	ADJ
fumecheng-12829	30	49	material	material	NOUN
fumecheng-12829	30	50	properties	property	NOUN
fumecheng-12829	30	51	throughout	throughout	ADP
fumecheng-12829	30	52	the	the	DET
fumecheng-12829	30	53	structure	structure	NOUN
fumecheng-12829	30	54	's	's	PART
fumecheng-12829	30	55	thickness	thickness	NOUN
fumecheng-12829	30	56	[	[	X
fumecheng-12829	30	57	16	16	NUM
fumecheng-12829	30	58	]	]	PUNCT
fumecheng-12829	30	59	.	.	PUNCT
fumecheng-12829	31	1	while	while	SCONJ
fumecheng-12829	31	2	considerable	considerable	ADJ
fumecheng-12829	31	3	attention	attention	NOUN
fumecheng-12829	31	4	has	have	AUX
fumecheng-12829	31	5	been	be	AUX
fumecheng-12829	31	6	devoted	devote	VERB
fumecheng-12829	31	7	to	to	ADP
fumecheng-12829	31	8	analyzing	analyze	VERB
fumecheng-12829	31	9	the	the	DET
fumecheng-12829	31	10	mechanical	mechanical	ADJ
fumecheng-12829	31	11	behavior	behavior	NOUN
fumecheng-12829	31	12	of	of	ADP
fumecheng-12829	31	13	fgp	fgp	ADJ
fumecheng-12829	31	14	beams	beam	NOUN
fumecheng-12829	31	15	and	and	CCONJ
fumecheng-12829	31	16	plates	plate	NOUN
fumecheng-12829	31	17	,	,	PUNCT
fumecheng-12829	31	18	there	there	PRON
fumecheng-12829	31	19	is	be	VERB
fumecheng-12829	31	20	a	a	DET
fumecheng-12829	31	21	notable	notable	ADJ
fumecheng-12829	31	22	dearth	dearth	NOUN
fumecheng-12829	31	23	of	of	ADP
fumecheng-12829	31	24	investigations	investigation	NOUN
fumecheng-12829	31	25	concerning	concern	VERB
fumecheng-12829	31	26	porous	porous	ADJ
fumecheng-12829	31	27	fg	fg	PROPN
fumecheng-12829	31	28	shell	shell	NOUN
fumecheng-12829	31	29	structures	structure	NOUN
fumecheng-12829	31	30	,	,	PUNCT
fumecheng-12829	31	31	as	as	SCONJ
fumecheng-12829	31	32	noted	note	VERB
fumecheng-12829	31	33	by	by	ADP
fumecheng-12829	31	34	wang	wang	PROPN
fumecheng-12829	31	35	and	and	CCONJ
fumecheng-12829	31	36	wu	wu	PROPN
fumecheng-12829	32	1	[	[	X
fumecheng-12829	32	2	8	8	NUM
fumecheng-12829	32	3	]	]	PUNCT
fumecheng-12829	32	4	.	.	PUNCT
fumecheng-12829	33	1	thus	thus	ADV
fumecheng-12829	33	2	,	,	PUNCT
fumecheng-12829	33	3	it	it	PRON
fumecheng-12829	33	4	is	be	AUX
fumecheng-12829	33	5	imperative	imperative	ADJ
fumecheng-12829	33	6	to	to	PART
fumecheng-12829	33	7	explore	explore	VERB
fumecheng-12829	33	8	the	the	DET
fumecheng-12829	33	9	behaviors	behavior	NOUN
fumecheng-12829	33	10	of	of	ADP
fumecheng-12829	33	11	porous	porous	ADJ
fumecheng-12829	33	12	fg	fg	NOUN
fumecheng-12829	33	13	shells	shell	NOUN
fumecheng-12829	33	14	to	to	PART
fumecheng-12829	33	15	unveil	unveil	VERB
fumecheng-12829	33	16	the	the	DET
fumecheng-12829	33	17	effects	effect	NOUN
fumecheng-12829	33	18	of	of	ADP
fumecheng-12829	33	19	porosity	porosity	NOUN
fumecheng-12829	33	20	.	.	PUNCT
fumecheng-12829	34	1	shell	shell	NOUN
fumecheng-12829	34	2	structures	structure	NOUN
fumecheng-12829	34	3	find	find	VERB
fumecheng-12829	34	4	widespread	widespread	ADJ
fumecheng-12829	34	5	applications	application	NOUN
fumecheng-12829	34	6	[	[	X
fumecheng-12829	34	7	17	17	NUM
fumecheng-12829	34	8	]	]	PUNCT
fumecheng-12829	34	9	in	in	ADP
fumecheng-12829	34	10	various	various	ADJ
fumecheng-12829	34	11	industrial	industrial	ADJ
fumecheng-12829	34	12	fields	field	NOUN
fumecheng-12829	34	13	,	,	PUNCT
fumecheng-12829	34	14	including	include	VERB
fumecheng-12829	34	15	pressure	pressure	NOUN
fumecheng-12829	34	16	vessels	vessel	NOUN
fumecheng-12829	34	17	,	,	PUNCT
fumecheng-12829	34	18	rollforming	rollforming	NOUN
fumecheng-12829	34	19	,	,	PUNCT
fumecheng-12829	34	20	and	and	CCONJ
fumecheng-12829	34	21	deep	deep	ADJ
fumecheng-12829	34	22	drawing	drawing	NOUN
fumecheng-12829	34	23	,	,	PUNCT
fumecheng-12829	34	24	often	often	ADV
fumecheng-12829	34	25	undergoing	undergo	VERB
fumecheng-12829	34	26	large	large	ADJ
fumecheng-12829	34	27	deformations	deformation	NOUN
fumecheng-12829	34	28	[	[	X
fumecheng-12829	34	29	18	18	NUM
fumecheng-12829	34	30	]	]	PUNCT
fumecheng-12829	34	31	and	and	CCONJ
fumecheng-12829	34	32	finite	finite	ADJ
fumecheng-12829	34	33	rotations	rotation	NOUN
fumecheng-12829	34	34	porosity	porosity	NOUN
fumecheng-12829	34	35	effects	effect	NOUN
fumecheng-12829	34	36	on	on	ADP
fumecheng-12829	34	37	nonlinear	nonlinear	ADJ
fumecheng-12829	34	38	static	static	ADJ
fumecheng-12829	34	39	performances	performance	NOUN
fumecheng-12829	34	40	of	of	ADP
fumecheng-12829	34	41	fg	fg	PROPN
fumecheng-12829	34	42	shells	shell	NOUN
fumecheng-12829	34	43	considering	consider	VERB
fumecheng-12829	34	44	thickness	thickness	NOUN
fumecheng-12829	34	45	stretching	stretch	VERB
fumecheng-12829	34	46	829	829	NUM
fumecheng-12829	34	47	where	where	SCONJ
fumecheng-12829	34	48	linear	linear	PROPN
fumecheng-12829	34	49	models	model	NOUN
fumecheng-12829	34	50	prove	prove	VERB
fumecheng-12829	34	51	inefficient	inefficient	ADJ
fumecheng-12829	34	52	.	.	PUNCT
fumecheng-12829	35	1	consequently	consequently	ADV
fumecheng-12829	35	2	,	,	PUNCT
fumecheng-12829	35	3	accounting	account	VERB
fumecheng-12829	35	4	for	for	ADP
fumecheng-12829	35	5	geometric	geometric	ADJ
fumecheng-12829	35	6	nonlinearities	nonlinearitie	NOUN
fumecheng-12829	35	7	becomes	become	VERB
fumecheng-12829	35	8	crucial	crucial	ADJ
fumecheng-12829	35	9	in	in	ADP
fumecheng-12829	35	10	shell	shell	NOUN
fumecheng-12829	35	11	modeling	modeling	NOUN
fumecheng-12829	35	12	,	,	PUNCT
fumecheng-12829	35	13	given	give	VERB
fumecheng-12829	35	14	the	the	DET
fumecheng-12829	35	15	significant	significant	ADJ
fumecheng-12829	35	16	influence	influence	NOUN
fumecheng-12829	35	17	of	of	ADP
fumecheng-12829	35	18	nonlinear	nonlinear	ADJ
fumecheng-12829	35	19	parameters	parameter	NOUN
fumecheng-12829	35	20	in	in	ADP
fumecheng-12829	35	21	numerous	numerous	ADJ
fumecheng-12829	35	22	analysis	analysis	NOUN
fumecheng-12829	35	23	fields	field	NOUN
fumecheng-12829	35	24	,	,	PUNCT
fumecheng-12829	35	25	particularly	particularly	ADV
fumecheng-12829	35	26	in	in	ADP
fumecheng-12829	35	27	porous	porous	ADJ
fumecheng-12829	35	28	fg	fg	PROPN
fumecheng-12829	35	29	structural	structural	ADJ
fumecheng-12829	35	30	design	design	NOUN
fumecheng-12829	35	31	.	.	PUNCT
fumecheng-12829	36	1	within	within	ADP
fumecheng-12829	36	2	this	this	DET
fumecheng-12829	36	3	framework	framework	NOUN
fumecheng-12829	36	4	,	,	PUNCT
fumecheng-12829	36	5	abid	abid	PROPN
fumecheng-12829	36	6	et	et	PROPN
fumecheng-12829	36	7	al	al	PROPN
fumecheng-12829	36	8	.	.	PUNCT
fumecheng-12829	37	1	[	[	X
fumecheng-12829	37	2	19	19	NUM
fumecheng-12829	37	3	]	]	PUNCT
fumecheng-12829	37	4	examined	examine	VERB
fumecheng-12829	37	5	the	the	DET
fumecheng-12829	37	6	geometrically	geometrically	ADV
fumecheng-12829	37	7	nonlinear	nonlinear	ADJ
fumecheng-12829	37	8	static	static	ADJ
fumecheng-12829	37	9	responses	response	NOUN
fumecheng-12829	37	10	of	of	ADP
fumecheng-12829	37	11	porous	porous	ADJ
fumecheng-12829	37	12	fg	fg	PROPN
fumecheng-12829	37	13	ring	ring	NOUN
fumecheng-12829	37	14	and	and	CCONJ
fumecheng-12829	37	15	cylindrical	cylindrical	ADJ
fumecheng-12829	37	16	panels	panel	NOUN
fumecheng-12829	37	17	,	,	PUNCT
fumecheng-12829	37	18	considering	consider	VERB
fumecheng-12829	37	19	even	even	ADV
fumecheng-12829	37	20	and	and	CCONJ
fumecheng-12829	37	21	uneven	uneven	ADJ
fumecheng-12829	37	22	porosity	porosity	NOUN
fumecheng-12829	37	23	distributions	distribution	NOUN
fumecheng-12829	37	24	along	along	ADP
fumecheng-12829	37	25	the	the	DET
fumecheng-12829	37	26	thickness	thickness	NOUN
fumecheng-12829	37	27	direction	direction	NOUN
fumecheng-12829	37	28	.	.	PUNCT
fumecheng-12829	38	1	the	the	DET
fumecheng-12829	38	2	high	high	ADJ
fumecheng-12829	38	3	-	-	PUNCT
fumecheng-12829	38	4	order	order	NOUN
fumecheng-12829	38	5	shear	shear	NOUN
fumecheng-12829	38	6	deformation	deformation	NOUN
fumecheng-12829	38	7	theory	theory	NOUN
fumecheng-12829	38	8	(	(	PUNCT
fumecheng-12829	38	9	hsdt	hsdt	NOUN
fumecheng-12829	38	10	)	)	PUNCT
fumecheng-12829	38	11	employing	employ	VERB
fumecheng-12829	38	12	double	double	ADJ
fumecheng-12829	38	13	directors	director	NOUN
fumecheng-12829	38	14	'	'	PART
fumecheng-12829	38	15	vectors	vector	NOUN
fumecheng-12829	38	16	was	be	AUX
fumecheng-12829	38	17	utilized	utilize	VERB
fumecheng-12829	38	18	with	with	ADP
fumecheng-12829	38	19	an	an	DET
fumecheng-12829	38	20	isoparametric	isoparametric	ADJ
fumecheng-12829	38	21	concept	concept	NOUN
fumecheng-12829	38	22	,	,	PUNCT
fumecheng-12829	38	23	highlighting	highlight	VERB
fumecheng-12829	38	24	the	the	DET
fumecheng-12829	38	25	disparities	disparity	NOUN
fumecheng-12829	38	26	between	between	ADP
fumecheng-12829	38	27	linear	linear	ADJ
fumecheng-12829	38	28	and	and	CCONJ
fumecheng-12829	38	29	nonlinear	nonlinear	ADJ
fumecheng-12829	38	30	deflections	deflection	NOUN
fumecheng-12829	38	31	of	of	ADP
fumecheng-12829	38	32	fgp	fgp	ADJ
fumecheng-12829	38	33	shell	shell	NOUN
fumecheng-12829	38	34	structures	structure	NOUN
fumecheng-12829	38	35	.	.	PUNCT
fumecheng-12829	39	1	it	it	PRON
fumecheng-12829	39	2	was	be	AUX
fumecheng-12829	39	3	deduced	deduce	VERB
fumecheng-12829	39	4	that	that	SCONJ
fumecheng-12829	39	5	under	under	ADP
fumecheng-12829	39	6	high	high	ADJ
fumecheng-12829	39	7	loading	loading	NOUN
fumecheng-12829	39	8	conditions	condition	NOUN
fumecheng-12829	39	9	,	,	PUNCT
fumecheng-12829	39	10	linear	linear	ADJ
fumecheng-12829	39	11	shell	shell	NOUN
fumecheng-12829	39	12	modeling	modeling	NOUN
fumecheng-12829	39	13	may	may	AUX
fumecheng-12829	39	14	yield	yield	VERB
fumecheng-12829	39	15	inaccurate	inaccurate	ADJ
fumecheng-12829	39	16	predictions	prediction	NOUN
fumecheng-12829	39	17	,	,	PUNCT
fumecheng-12829	39	18	emphasizing	emphasize	VERB
fumecheng-12829	39	19	the	the	DET
fumecheng-12829	39	20	importance	importance	NOUN
fumecheng-12829	39	21	of	of	ADP
fumecheng-12829	39	22	geometric	geometric	ADJ
fumecheng-12829	39	23	nonlinearity	nonlinearity	NOUN
fumecheng-12829	39	24	in	in	ADP
fumecheng-12829	39	25	fe	fe	NOUN
fumecheng-12829	39	26	formulations	formulation	NOUN
fumecheng-12829	39	27	.	.	PUNCT
fumecheng-12829	40	1	moreover	moreover	ADV
fumecheng-12829	40	2	,	,	PUNCT
fumecheng-12829	40	3	when	when	SCONJ
fumecheng-12829	40	4	modeling	modeling	NOUN
fumecheng-12829	40	5	moderate	moderate	ADJ
fumecheng-12829	40	6	or	or	CCONJ
fumecheng-12829	40	7	thick	thick	ADJ
fumecheng-12829	40	8	shell	shell	NOUN
fumecheng-12829	40	9	structures	structure	NOUN
fumecheng-12829	40	10	under	under	ADP
fumecheng-12829	40	11	the	the	DET
fumecheng-12829	40	12	plane	plane	NOUN
fumecheng-12829	40	13	stress	stress	NOUN
fumecheng-12829	40	14	assumption	assumption	NOUN
fumecheng-12829	40	15	(	(	PUNCT
fumecheng-12829	40	16	psa	psa	NOUN
fumecheng-12829	40	17	)	)	PUNCT
fumecheng-12829	40	18	,	,	PUNCT
fumecheng-12829	40	19	neglecting	neglect	VERB
fumecheng-12829	40	20	the	the	DET
fumecheng-12829	40	21	thickness	thickness	NOUN
fumecheng-12829	40	22	stretching	stretch	VERB
fumecheng-12829	40	23	effect	effect	NOUN
fumecheng-12829	40	24	of	of	ADP
fumecheng-12829	40	25	normal	normal	ADJ
fumecheng-12829	40	26	deformation	deformation	NOUN
fumecheng-12829	40	27	may	may	AUX
fumecheng-12829	40	28	lead	lead	VERB
fumecheng-12829	40	29	to	to	ADP
fumecheng-12829	40	30	inaccuracies	inaccuracy	NOUN
fumecheng-12829	40	31	,	,	PUNCT
fumecheng-12829	40	32	especially	especially	ADV
fumecheng-12829	40	33	for	for	ADP
fumecheng-12829	40	34	thick	thick	ADJ
fumecheng-12829	40	35	structures	structure	NOUN
fumecheng-12829	40	36	.	.	PUNCT
fumecheng-12829	41	1	in	in	ADP
fumecheng-12829	41	2	this	this	DET
fumecheng-12829	41	3	regard	regard	NOUN
fumecheng-12829	41	4	,	,	PUNCT
fumecheng-12829	41	5	evolving	evolve	VERB
fumecheng-12829	41	6	an	an	DET
fumecheng-12829	41	7	efficient	efficient	ADJ
fumecheng-12829	41	8	fe	fe	NOUN
fumecheng-12829	41	9	formulation	formulation	NOUN
fumecheng-12829	41	10	capable	capable	ADJ
fumecheng-12829	41	11	of	of	ADP
fumecheng-12829	41	12	accommodating	accommodate	VERB
fumecheng-12829	41	13	arbitrary	arbitrary	ADJ
fumecheng-12829	41	14	three	three	NUM
fumecheng-12829	41	15	-	-	PUNCT
fumecheng-12829	41	16	dimensional	dimensional	ADJ
fumecheng-12829	41	17	constitutive	constitutive	ADJ
fumecheng-12829	41	18	laws	law	NOUN
fumecheng-12829	41	19	without	without	ADP
fumecheng-12829	41	20	condensation	condensation	NOUN
fumecheng-12829	41	21	is	be	AUX
fumecheng-12829	41	22	crucial	crucial	ADJ
fumecheng-12829	41	23	.	.	PUNCT
fumecheng-12829	42	1	to	to	PART
fumecheng-12829	42	2	achieve	achieve	VERB
fumecheng-12829	42	3	this	this	DET
fumecheng-12829	42	4	objective	objective	NOUN
fumecheng-12829	42	5	,	,	PUNCT
fumecheng-12829	42	6	the	the	DET
fumecheng-12829	42	7	standard	standard	ADJ
fumecheng-12829	42	8	fsdt	fsdt	NOUN
fumecheng-12829	42	9	shell	shell	NOUN
fumecheng-12829	42	10	formulation	formulation	NOUN
fumecheng-12829	42	11	with	with	ADP
fumecheng-12829	42	12	five	five	NUM
fumecheng-12829	42	13	parameters	parameter	NOUN
fumecheng-12829	42	14	is	be	AUX
fumecheng-12829	42	15	extended	extend	VERB
fumecheng-12829	42	16	to	to	ADP
fumecheng-12829	42	17	a	a	DET
fumecheng-12829	42	18	6parameter	6parameter	NUM
fumecheng-12829	42	19	theory	theory	NOUN
fumecheng-12829	42	20	,	,	PUNCT
fumecheng-12829	42	21	including	include	VERB
fumecheng-12829	42	22	the	the	DET
fumecheng-12829	42	23	full	full	ADJ
fumecheng-12829	42	24	set	set	NOUN
fumecheng-12829	42	25	of	of	ADP
fumecheng-12829	42	26	stress	stress	NOUN
fumecheng-12829	42	27	and	and	CCONJ
fumecheng-12829	42	28	strain	strain	ADJ
fumecheng-12829	42	29	fields	field	NOUN
fumecheng-12829	42	30	.	.	PUNCT
fumecheng-12829	43	1	this	this	DET
fumecheng-12829	43	2	extension	extension	NOUN
fumecheng-12829	43	3	involves	involve	VERB
fumecheng-12829	43	4	considering	consider	VERB
fumecheng-12829	43	5	an	an	DET
fumecheng-12829	43	6	extensible	extensible	ADJ
fumecheng-12829	43	7	director	director	NOUN
fumecheng-12829	43	8	vector	vector	NOUN
fumecheng-12829	43	9	,	,	PUNCT
fumecheng-12829	43	10	acknowledging	acknowledge	VERB
fumecheng-12829	43	11	the	the	DET
fumecheng-12829	43	12	sixth	sixth	ADJ
fumecheng-12829	43	13	degree	degree	NOUN
fumecheng-12829	43	14	of	of	ADP
fumecheng-12829	43	15	freedom	freedom	NOUN
fumecheng-12829	43	16	as	as	ADP
fumecheng-12829	43	17	a	a	DET
fumecheng-12829	43	18	scalar	scalar	ADJ
fumecheng-12829	43	19	stretching	stretch	VERB
fumecheng-12829	43	20	component	component	NOUN
fumecheng-12829	43	21	.	.	PUNCT
fumecheng-12829	44	1	the	the	DET
fumecheng-12829	44	2	exploration	exploration	NOUN
fumecheng-12829	44	3	of	of	ADP
fumecheng-12829	44	4	mechanical	mechanical	ADJ
fumecheng-12829	44	5	behaviors	behavior	NOUN
fumecheng-12829	44	6	using	use	VERB
fumecheng-12829	44	7	the	the	DET
fumecheng-12829	44	8	3d	3d	NUM
fumecheng-12829	44	9	theory	theory	NOUN
fumecheng-12829	44	10	of	of	ADP
fumecheng-12829	44	11	elasticity	elasticity	NOUN
fumecheng-12829	44	12	was	be	AUX
fumecheng-12829	44	13	pioneered	pioneer	VERB
fumecheng-12829	44	14	by	by	ADP
fumecheng-12829	44	15	simo	simo	PROPN
fumecheng-12829	44	16	and	and	CCONJ
fumecheng-12829	44	17	rifai	rifai	VERB
fumecheng-12829	45	1	[	[	X
fumecheng-12829	45	2	20	20	NUM
fumecheng-12829	45	3	]	]	PUNCT
fumecheng-12829	45	4	employing	employ	VERB
fumecheng-12829	45	5	a	a	DET
fumecheng-12829	45	6	6	6	NUM
fumecheng-12829	45	7	-	-	PUNCT
fumecheng-12829	45	8	parameter	parameter	NOUN
fumecheng-12829	45	9	shell	shell	NOUN
fumecheng-12829	45	10	model	model	NOUN
fumecheng-12829	45	11	,	,	PUNCT
fumecheng-12829	45	12	which	which	PRON
fumecheng-12829	45	13	avoids	avoid	VERB
fumecheng-12829	45	14	displacement	displacement	ADJ
fumecheng-12829	45	15	formulation	formulation	NOUN
fumecheng-12829	45	16	errors	error	NOUN
fumecheng-12829	45	17	and	and	CCONJ
fumecheng-12829	45	18	thickness	thickness	NOUN
fumecheng-12829	45	19	locking	lock	VERB
fumecheng-12829	45	20	phenomena	phenomenon	NOUN
fumecheng-12829	45	21	.	.	PUNCT
fumecheng-12829	46	1	various	various	ADJ
fumecheng-12829	46	2	methods	method	NOUN
fumecheng-12829	46	3	have	have	AUX
fumecheng-12829	46	4	been	be	AUX
fumecheng-12829	46	5	proposed	propose	VERB
fumecheng-12829	46	6	to	to	PART
fumecheng-12829	46	7	address	address	VERB
fumecheng-12829	46	8	thickness	thickness	NOUN
fumecheng-12829	46	9	locking	locking	NOUN
fumecheng-12829	46	10	,	,	PUNCT
fumecheng-12829	46	11	including	include	VERB
fumecheng-12829	46	12	quadratic	quadratic	ADJ
fumecheng-12829	46	13	displacement	displacement	ADJ
fumecheng-12829	46	14	distribution	distribution	NOUN
fumecheng-12829	46	15	through	through	ADP
fumecheng-12829	46	16	the	the	DET
fumecheng-12829	46	17	thickness	thickness	NOUN
fumecheng-12829	46	18	direction	direction	NOUN
fumecheng-12829	46	19	and	and	CCONJ
fumecheng-12829	46	20	enriching	enrich	VERB
fumecheng-12829	46	21	the	the	DET
fumecheng-12829	46	22	thickness	thickness	NOUN
fumecheng-12829	46	23	strain	strain	NOUN
fumecheng-12829	46	24	via	via	ADP
fumecheng-12829	46	25	methods	method	NOUN
fumecheng-12829	46	26	like	like	ADP
fumecheng-12829	46	27	the	the	DET
fumecheng-12829	46	28	enhanced	enhance	VERB
fumecheng-12829	46	29	assumed	assume	VERB
fumecheng-12829	46	30	strain	strain	NOUN
fumecheng-12829	46	31	(	(	PUNCT
fumecheng-12829	46	32	eas	ea	NOUN
fumecheng-12829	46	33	)	)	PUNCT
fumecheng-12829	46	34	method	method	NOUN
fumecheng-12829	46	35	.	.	PUNCT
fumecheng-12829	47	1	recent	recent	ADJ
fumecheng-12829	47	2	efforts	effort	NOUN
fumecheng-12829	47	3	by	by	ADP
fumecheng-12829	47	4	beheshti	beheshti	NOUN
fumecheng-12829	47	5	and	and	CCONJ
fumecheng-12829	47	6	ramezani	ramezani	NOUN
fumecheng-12829	47	7	[	[	X
fumecheng-12829	47	8	21	21	NUM
fumecheng-12829	47	9	]	]	PUNCT
fumecheng-12829	47	10	introduced	introduce	VERB
fumecheng-12829	47	11	a	a	DET
fumecheng-12829	47	12	nonlinear	nonlinear	ADJ
fumecheng-12829	47	13	extensible	extensible	ADJ
fumecheng-12829	47	14	shell	shell	NOUN
fumecheng-12829	47	15	model	model	NOUN
fumecheng-12829	47	16	to	to	PART
fumecheng-12829	47	17	investigate	investigate	VERB
fumecheng-12829	47	18	the	the	DET
fumecheng-12829	47	19	large	large	ADJ
fumecheng-12829	47	20	deformation	deformation	NOUN
fumecheng-12829	47	21	of	of	ADP
fumecheng-12829	47	22	fg	fg	PROPN
fumecheng-12829	47	23	shell	shell	PROPN
fumecheng-12829	47	24	structures	structure	NOUN
fumecheng-12829	47	25	,	,	PUNCT
fumecheng-12829	47	26	incorporating	incorporate	VERB
fumecheng-12829	47	27	seven	seven	NUM
fumecheng-12829	47	28	parameters	parameter	NOUN
fumecheng-12829	47	29	to	to	PART
fumecheng-12829	47	30	account	account	VERB
fumecheng-12829	47	31	for	for	ADP
fumecheng-12829	47	32	thickness	thickness	NOUN
fumecheng-12829	47	33	stretch	stretch	NOUN
fumecheng-12829	47	34	,	,	PUNCT
fumecheng-12829	47	35	while	while	SCONJ
fumecheng-12829	47	36	employing	employ	VERB
fumecheng-12829	47	37	the	the	DET
fumecheng-12829	47	38	eas	eas	NOUN
fumecheng-12829	47	39	concept	concept	NOUN
fumecheng-12829	47	40	to	to	PART
fumecheng-12829	47	41	mitigate	mitigate	VERB
fumecheng-12829	47	42	numerical	numerical	ADJ
fumecheng-12829	47	43	instability	instability	NOUN
fumecheng-12829	47	44	issues	issue	NOUN
fumecheng-12829	47	45	and	and	CCONJ
fumecheng-12829	47	46	enhance	enhance	VERB
fumecheng-12829	47	47	strain	strain	NOUN
fumecheng-12829	47	48	components	component	NOUN
fumecheng-12829	47	49	.	.	PUNCT
fumecheng-12829	48	1	triply	triply	ADV
fumecheng-12829	48	2	periodic	periodic	ADJ
fumecheng-12829	48	3	minimal	minimal	ADJ
fumecheng-12829	48	4	surface	surface	NOUN
fumecheng-12829	48	5	(	(	PUNCT
fumecheng-12829	48	6	tpms	tpms	PROPN
fumecheng-12829	48	7	)	)	PUNCT
fumecheng-12829	48	8	structures	structure	NOUN
fumecheng-12829	48	9	are	be	AUX
fumecheng-12829	48	10	currently	currently	ADV
fumecheng-12829	48	11	renowned	renowned	ADJ
fumecheng-12829	48	12	for	for	ADP
fumecheng-12829	48	13	their	their	PRON
fumecheng-12829	48	14	exceptional	exceptional	ADJ
fumecheng-12829	48	15	energy	energy	NOUN
fumecheng-12829	48	16	absorption	absorption	NOUN
fumecheng-12829	48	17	capabilities	capability	NOUN
fumecheng-12829	48	18	,	,	PUNCT
fumecheng-12829	48	19	which	which	PRON
fumecheng-12829	48	20	make	make	VERB
fumecheng-12829	48	21	them	they	PRON
fumecheng-12829	48	22	highly	highly	ADV
fumecheng-12829	48	23	suitable	suitable	ADJ
fumecheng-12829	48	24	for	for	ADP
fumecheng-12829	48	25	applications	application	NOUN
fumecheng-12829	48	26	requiring	require	VERB
fumecheng-12829	48	27	efficient	efficient	ADJ
fumecheng-12829	48	28	mechanical	mechanical	ADJ
fumecheng-12829	48	29	performance	performance	NOUN
fumecheng-12829	48	30	.	.	PUNCT
fumecheng-12829	49	1	in	in	ADP
fumecheng-12829	49	2	this	this	DET
fumecheng-12829	49	3	regard	regard	NOUN
fumecheng-12829	49	4	,	,	PUNCT
fumecheng-12829	49	5	several	several	ADJ
fumecheng-12829	49	6	recent	recent	ADJ
fumecheng-12829	49	7	studies	study	NOUN
fumecheng-12829	49	8	have	have	AUX
fumecheng-12829	49	9	explored	explore	VERB
fumecheng-12829	49	10	advanced	advanced	ADJ
fumecheng-12829	49	11	approaches	approach	NOUN
fumecheng-12829	49	12	such	such	ADJ
fumecheng-12829	49	13	as	as	ADP
fumecheng-12829	49	14	nonlocal	nonlocal	ADJ
fumecheng-12829	49	15	strain	strain	NOUN
fumecheng-12829	49	16	gradient	gradient	NOUN
fumecheng-12829	49	17	-	-	PUNCT
fumecheng-12829	49	18	based	base	VERB
fumecheng-12829	49	19	isogeometric	isogeometric	ADJ
fumecheng-12829	49	20	analysis	analysis	NOUN
fumecheng-12829	49	21	for	for	ADP
fumecheng-12829	49	22	functionally	functionally	ADV
fumecheng-12829	49	23	graded	grade	VERB
fumecheng-12829	49	24	tpms	tpms	PROPN
fumecheng-12829	49	25	nanoplates	nanoplate	NOUN
fumecheng-12829	49	26	reinforced	reinforce	VERB
fumecheng-12829	49	27	with	with	ADP
fumecheng-12829	49	28	graphene	graphene	NOUN
fumecheng-12829	49	29	platelets	platelet	NOUN
fumecheng-12829	49	30	.	.	PUNCT
fumecheng-12829	50	1	these	these	DET
fumecheng-12829	50	2	studies	study	NOUN
fumecheng-12829	50	3	aim	aim	VERB
fumecheng-12829	50	4	to	to	PART
fumecheng-12829	50	5	improve	improve	VERB
fumecheng-12829	50	6	the	the	DET
fumecheng-12829	50	7	accuracy	accuracy	NOUN
fumecheng-12829	50	8	of	of	ADP
fumecheng-12829	50	9	mechanical	mechanical	ADJ
fumecheng-12829	50	10	behavior	behavior	NOUN
fumecheng-12829	50	11	predictions	prediction	NOUN
fumecheng-12829	50	12	for	for	ADP
fumecheng-12829	50	13	such	such	ADJ
fumecheng-12829	50	14	complex	complex	ADJ
fumecheng-12829	50	15	materials	material	NOUN
fumecheng-12829	50	16	.	.	PUNCT
fumecheng-12829	51	1	furthermore	furthermore	ADV
fumecheng-12829	51	2	,	,	PUNCT
fumecheng-12829	51	3	new	new	ADJ
fumecheng-12829	51	4	computational	computational	ADJ
fumecheng-12829	51	5	frameworks	framework	NOUN
fumecheng-12829	51	6	[	[	X
fumecheng-12829	51	7	22	22	NUM
fumecheng-12829	51	8	,	,	PUNCT
fumecheng-12829	51	9	23	23	NUM
fumecheng-12829	51	10	]	]	PUNCT
fumecheng-12829	51	11	have	have	AUX
fumecheng-12829	51	12	been	be	AUX
fumecheng-12829	51	13	proposed	propose	VERB
fumecheng-12829	51	14	for	for	ADP
fumecheng-12829	51	15	modeling	model	VERB
fumecheng-12829	51	16	3dprinted	3dprinted	NUM
fumecheng-12829	51	17	graphene	graphene	NOUN
fumecheng-12829	51	18	-	-	PUNCT
fumecheng-12829	51	19	reinforced	reinforce	VERB
fumecheng-12829	51	20	functionally	functionally	ADV
fumecheng-12829	51	21	graded	grade	VERB
fumecheng-12829	51	22	tpms	tpm	NOUN
fumecheng-12829	51	23	plates	plate	NOUN
fumecheng-12829	51	24	,	,	PUNCT
fumecheng-12829	51	25	emphasizing	emphasize	VERB
fumecheng-12829	51	26	multiscale	multiscale	ADJ
fumecheng-12829	51	27	techniques	technique	NOUN
fumecheng-12829	51	28	to	to	PART
fumecheng-12829	51	29	better	well	ADV
fumecheng-12829	51	30	capture	capture	VERB
fumecheng-12829	51	31	the	the	DET
fumecheng-12829	51	32	mechanical	mechanical	ADJ
fumecheng-12829	51	33	properties	property	NOUN
fumecheng-12829	51	34	and	and	CCONJ
fumecheng-12829	51	35	performance	performance	NOUN
fumecheng-12829	51	36	in	in	ADP
fumecheng-12829	51	37	additive	additive	ADJ
fumecheng-12829	51	38	manufacturing	manufacturing	NOUN
fumecheng-12829	51	39	contexts	contexts	NOUN
fumecheng-12829	51	40	.	.	PUNCT
fumecheng-12829	52	1	these	these	DET
fumecheng-12829	52	2	advancements	advancement	NOUN
fumecheng-12829	52	3	offer	offer	VERB
fumecheng-12829	52	4	a	a	DET
fumecheng-12829	52	5	deeper	deep	ADJ
fumecheng-12829	52	6	understanding	understanding	NOUN
fumecheng-12829	52	7	of	of	ADP
fumecheng-12829	52	8	the	the	DET
fumecheng-12829	52	9	behavior	behavior	NOUN
fumecheng-12829	52	10	of	of	ADP
fumecheng-12829	52	11	graphene	graphene	NOUN
fumecheng-12829	52	12	-	-	PUNCT
fumecheng-12829	52	13	based	base	VERB
fumecheng-12829	52	14	composites	composite	NOUN
fumecheng-12829	52	15	and	and	CCONJ
fumecheng-12829	52	16	present	present	ADJ
fumecheng-12829	52	17	innovative	innovative	ADJ
fumecheng-12829	52	18	computational	computational	ADJ
fumecheng-12829	52	19	strategies	strategy	NOUN
fumecheng-12829	52	20	for	for	ADP
fumecheng-12829	52	21	their	their	PRON
fumecheng-12829	52	22	analysis	analysis	NOUN
fumecheng-12829	52	23	.	.	PUNCT
fumecheng-12829	53	1	from	from	ADP
fumecheng-12829	53	2	the	the	DET
fumecheng-12829	53	3	literature	literature	NOUN
fumecheng-12829	53	4	review	review	NOUN
fumecheng-12829	53	5	,	,	PUNCT
fumecheng-12829	53	6	it	it	PRON
fumecheng-12829	53	7	is	be	AUX
fumecheng-12829	53	8	evident	evident	ADJ
fumecheng-12829	53	9	that	that	SCONJ
fumecheng-12829	53	10	previous	previous	ADJ
fumecheng-12829	53	11	studies	study	NOUN
fumecheng-12829	53	12	primarily	primarily	ADV
fumecheng-12829	53	13	focused	focus	VERB
fumecheng-12829	53	14	on	on	ADP
fumecheng-12829	53	15	analyzing	analyze	VERB
fumecheng-12829	53	16	the	the	DET
fumecheng-12829	53	17	responses	response	NOUN
fumecheng-12829	53	18	of	of	ADP
fumecheng-12829	53	19	fg	fg	NOUN
fumecheng-12829	53	20	plates	plate	NOUN
fumecheng-12829	53	21	and	and	CCONJ
fumecheng-12829	53	22	shell	shell	VERB
fumecheng-12829	53	23	structures	structure	NOUN
fumecheng-12829	53	24	with	with	ADP
fumecheng-12829	53	25	internal	internal	ADJ
fumecheng-12829	53	26	pores	pore	NOUN
fumecheng-12829	53	27	,	,	PUNCT
fumecheng-12829	53	28	employing	employ	VERB
fumecheng-12829	53	29	the	the	DET
fumecheng-12829	53	30	plane	plane	NOUN
fumecheng-12829	53	31	stress	stress	NOUN
fumecheng-12829	53	32	assumption	assumption	NOUN
fumecheng-12829	53	33	(	(	PUNCT
fumecheng-12829	53	34	psa	psa	NOUN
fumecheng-12829	53	35	)	)	PUNCT
fumecheng-12829	53	36	model	model	NOUN
fumecheng-12829	53	37	,	,	PUNCT
fumecheng-12829	53	38	which	which	PRON
fumecheng-12829	53	39	neglects	neglect	VERB
fumecheng-12829	53	40	thickness	thickness	NOUN
fumecheng-12829	53	41	stretch	stretch	NOUN
fumecheng-12829	53	42	.	.	PUNCT
fumecheng-12829	54	1	however	however	ADV
fumecheng-12829	54	2	,	,	PUNCT
fumecheng-12829	54	3	a	a	DET
fumecheng-12829	54	4	comprehensive	comprehensive	ADJ
fumecheng-12829	54	5	investigation	investigation	NOUN
fumecheng-12829	54	6	into	into	ADP
fumecheng-12829	54	7	the	the	DET
fumecheng-12829	54	8	large	large	ADJ
fumecheng-12829	54	9	elastic	elastic	ADJ
fumecheng-12829	54	10	deformations	deformation	NOUN
fumecheng-12829	54	11	and	and	CCONJ
fumecheng-12829	54	12	finite	finite	ADJ
fumecheng-12829	54	13	rotations	rotation	NOUN
fumecheng-12829	54	14	of	of	ADP
fumecheng-12829	54	15	fg	fg	PROPN
fumecheng-12829	54	16	shell	shell	NOUN
fumecheng-12829	54	17	structures	structure	NOUN
fumecheng-12829	54	18	with	with	ADP
fumecheng-12829	54	19	internal	internal	ADJ
fumecheng-12829	54	20	pores	pore	NOUN
fumecheng-12829	54	21	,	,	PUNCT
fumecheng-12829	54	22	considering	consider	VERB
fumecheng-12829	54	23	three	three	NUM
fumecheng-12829	54	24	-	-	PUNCT
fumecheng-12829	54	25	dimensional	dimensional	ADJ
fumecheng-12829	54	26	constitutive	constitutive	ADJ
fumecheng-12829	54	27	equations	equation	NOUN
fumecheng-12829	54	28	and	and	CCONJ
fumecheng-12829	54	29	through	through	ADP
fumecheng-12829	54	30	-	-	PUNCT
fumecheng-12829	54	31	the	the	DET
fumecheng-12829	54	32	-	-	PUNCT
fumecheng-12829	54	33	thickness	thickness	NOUN
fumecheng-12829	54	34	stretching	stretching	NOUN
fumecheng-12829	54	35	,	,	PUNCT
fumecheng-12829	54	36	remains	remain	VERB
fumecheng-12829	54	37	unexplored	unexplored	ADJ
fumecheng-12829	54	38	.	.	PUNCT
fumecheng-12829	55	1	this	this	DET
fumecheng-12829	55	2	paper	paper	NOUN
fumecheng-12829	55	3	aims	aim	VERB
fumecheng-12829	55	4	to	to	PART
fumecheng-12829	55	5	address	address	VERB
fumecheng-12829	55	6	this	this	DET
fumecheng-12829	55	7	research	research	NOUN
fumecheng-12829	55	8	gap	gap	NOUN
fumecheng-12829	55	9	.	.	PUNCT
fumecheng-12829	56	1	our	our	PRON
fumecheng-12829	56	2	work	work	NOUN
fumecheng-12829	56	3	introduces	introduce	VERB
fumecheng-12829	56	4	a	a	DET
fumecheng-12829	56	5	3d	3d	NUM
fumecheng-12829	56	6	extensible	extensible	ADJ
fumecheng-12829	56	7	shell	shell	NOUN
fumecheng-12829	56	8	model	model	NOUN
fumecheng-12829	56	9	utilizing	utilize	VERB
fumecheng-12829	56	10	six	six	NUM
fumecheng-12829	56	11	independent	independent	ADJ
fumecheng-12829	56	12	kinematic	kinematic	ADJ
fumecheng-12829	56	13	parameters	parameter	NOUN
fumecheng-12829	56	14	,	,	PUNCT
fumecheng-12829	56	15	including	include	VERB
fumecheng-12829	56	16	thickness	thickness	NOUN
fumecheng-12829	56	17	stretching	stretching	NOUN
fumecheng-12829	56	18	,	,	PUNCT
fumecheng-12829	56	19	and	and	CCONJ
fumecheng-12829	56	20	incorporates	incorporate	VERB
fumecheng-12829	56	21	the	the	DET
fumecheng-12829	56	22	eas	ea	NOUN
fumecheng-12829	56	23	method	method	NOUN
fumecheng-12829	56	24	.	.	PUNCT
fumecheng-12829	57	1	considering	consider	VERB
fumecheng-12829	57	2	the	the	DET
fumecheng-12829	57	3	limitations	limitation	NOUN
fumecheng-12829	57	4	of	of	ADP
fumecheng-12829	57	5	conventional	conventional	ADJ
fumecheng-12829	57	6	theories	theory	NOUN
fumecheng-12829	57	7	like	like	ADP
fumecheng-12829	57	8	fsdt	fsdt	NOUN
fumecheng-12829	57	9	and	and	CCONJ
fumecheng-12829	57	10	hsdt	hsdt	NOUN
fumecheng-12829	57	11	,	,	PUNCT
fumecheng-12829	57	12	an	an	DET
fumecheng-12829	57	13	efficient	efficient	ADJ
fumecheng-12829	57	14	finite	finite	NOUN
fumecheng-12829	57	15	element	element	NOUN
fumecheng-12829	57	16	shell	shell	NOUN
fumecheng-12829	57	17	model	model	NOUN
fumecheng-12829	57	18	is	be	AUX
fumecheng-12829	57	19	proposed	propose	VERB
fumecheng-12829	57	20	based	base	VERB
fumecheng-12829	57	21	on	on	ADP
fumecheng-12829	57	22	an	an	DET
fumecheng-12829	57	23	improved	improved	ADJ
fumecheng-12829	57	24	fsdt	fsdt	NOUN
fumecheng-12829	57	25	theory	theory	NOUN
fumecheng-12829	57	26	,	,	PUNCT
fumecheng-12829	57	27	ensuring	ensure	VERB
fumecheng-12829	57	28	a	a	DET
fumecheng-12829	57	29	realistic	realistic	ADJ
fumecheng-12829	57	30	parabolic	parabolic	ADJ
fumecheng-12829	57	31	distribution	distribution	NOUN
fumecheng-12829	57	32	of	of	ADP
fumecheng-12829	57	33	transverse	transverse	ADJ
fumecheng-12829	57	34	shear	shear	NOUN
fumecheng-12829	57	35	strains	strain	NOUN
fumecheng-12829	57	36	(	(	PUNCT
fumecheng-12829	57	37	tss	tss	NOUN
fumecheng-12829	57	38	)	)	PUNCT
fumecheng-12829	57	39	across	across	ADP
fumecheng-12829	57	40	the	the	DET
fumecheng-12829	57	41	structure	structure	NOUN
fumecheng-12829	57	42	's	's	PART
fumecheng-12829	57	43	830	830	NUM
fumecheng-12829	57	44	h.	h.	NOUN
fumecheng-12829	57	45	mallek	mallek	PROPN
fumecheng-12829	57	46	,	,	PUNCT
fumecheng-12829	57	47	h.	h.	PROPN
fumecheng-12829	57	48	mellouli	mellouli	PROPN
fumecheng-12829	57	49	,	,	PUNCT
fumecheng-12829	57	50	l.	l.	PROPN
fumecheng-12829	57	51	ben	ben	PROPN
fumecheng-12829	57	52	said	say	VERB
fumecheng-12829	57	53	,	,	PUNCT
fumecheng-12829	57	54	m.	m.	PROPN
fumecheng-12829	57	55	wali	wali	PROPN
fumecheng-12829	57	56	,	,	PUNCT
fumecheng-12829	57	57	f.	f.	PROPN
fumecheng-12829	57	58	dammak	dammak	PROPN
fumecheng-12829	57	59	,	,	PUNCT
fumecheng-12829	57	60	m.	m.	NOUN
fumecheng-12829	57	61	alhadri	alhadri	ADJ
fumecheng-12829	57	62	thickness	thickness	NOUN
fumecheng-12829	57	63	.	.	PUNCT
fumecheng-12829	58	1	additionally	additionally	ADV
fumecheng-12829	58	2	,	,	PUNCT
fumecheng-12829	58	3	the	the	DET
fumecheng-12829	58	4	importance	importance	NOUN
fumecheng-12829	58	5	of	of	ADP
fumecheng-12829	58	6	thickness	thickness	NOUN
fumecheng-12829	58	7	stretching	stretching	NOUN
fumecheng-12829	58	8	is	be	AUX
fumecheng-12829	58	9	highlighted	highlight	VERB
fumecheng-12829	58	10	by	by	ADP
fumecheng-12829	58	11	incorporating	incorporate	VERB
fumecheng-12829	58	12	linear	linear	ADJ
fumecheng-12829	58	13	variation	variation	NOUN
fumecheng-12829	58	14	through	through	ADP
fumecheng-12829	58	15	the	the	DET
fumecheng-12829	58	16	thickness	thickness	NOUN
fumecheng-12829	58	17	via	via	ADP
fumecheng-12829	58	18	the	the	DET
fumecheng-12829	58	19	eas	eas	PROPN
fumecheng-12829	58	20	concept	concept	NOUN
fumecheng-12829	58	21	to	to	PART
fumecheng-12829	58	22	analyze	analyze	VERB
fumecheng-12829	58	23	large	large	ADJ
fumecheng-12829	58	24	elastic	elastic	ADJ
fumecheng-12829	58	25	deformations	deformation	NOUN
fumecheng-12829	58	26	.	.	PUNCT
fumecheng-12829	59	1	moreover	moreover	ADV
fumecheng-12829	59	2	,	,	PUNCT
fumecheng-12829	59	3	locking	lock	VERB
fumecheng-12829	59	4	problems	problem	NOUN
fumecheng-12829	59	5	inherent	inherent	ADJ
fumecheng-12829	59	6	in	in	ADP
fumecheng-12829	59	7	extensible	extensible	ADJ
fumecheng-12829	59	8	models	model	NOUN
fumecheng-12829	59	9	are	be	AUX
fumecheng-12829	59	10	addressed	address	VERB
fumecheng-12829	59	11	by	by	ADP
fumecheng-12829	59	12	applying	apply	VERB
fumecheng-12829	59	13	the	the	DET
fumecheng-12829	59	14	assumed	assume	VERB
fumecheng-12829	59	15	natural	natural	ADJ
fumecheng-12829	59	16	strain	strain	NOUN
fumecheng-12829	59	17	(	(	PUNCT
fumecheng-12829	59	18	ans	ans	X
fumecheng-12829	59	19	)	)	PUNCT
fumecheng-12829	59	20	method	method	NOUN
fumecheng-12829	59	21	to	to	PART
fumecheng-12829	59	22	improve	improve	VERB
fumecheng-12829	59	23	membrane	membrane	NOUN
fumecheng-12829	59	24	behavior	behavior	NOUN
fumecheng-12829	59	25	.	.	PUNCT
fumecheng-12829	60	1	the	the	DET
fumecheng-12829	60	2	subsequent	subsequent	ADJ
fumecheng-12829	60	3	sections	section	NOUN
fumecheng-12829	60	4	of	of	ADP
fumecheng-12829	60	5	this	this	DET
fumecheng-12829	60	6	paper	paper	NOUN
fumecheng-12829	60	7	delve	delve	VERB
fumecheng-12829	60	8	into	into	ADP
fumecheng-12829	60	9	the	the	DET
fumecheng-12829	60	10	materials	material	NOUN
fumecheng-12829	60	11	modeling	modeling	NOUN
fumecheng-12829	60	12	and	and	CCONJ
fumecheng-12829	60	13	geometrically	geometrically	ADV
fumecheng-12829	60	14	nonlinear	nonlinear	ADJ
fumecheng-12829	60	15	analysis	analysis	NOUN
fumecheng-12829	60	16	methods	method	NOUN
fumecheng-12829	60	17	considered	consider	VERB
fumecheng-12829	60	18	herein	herein	NOUN
fumecheng-12829	60	19	.	.	PUNCT
fumecheng-12829	61	1	the	the	DET
fumecheng-12829	61	2	proposed	propose	VERB
fumecheng-12829	61	3	finite	finite	PROPN
fumecheng-12829	61	4	element	element	NOUN
fumecheng-12829	61	5	method	method	NOUN
fumecheng-12829	61	6	necessitates	necessitate	VERB
fumecheng-12829	61	7	an	an	DET
fumecheng-12829	61	8	effective	effective	ADJ
fumecheng-12829	61	9	elastic	elastic	ADJ
fumecheng-12829	61	10	part	part	NOUN
fumecheng-12829	61	11	,	,	PUNCT
fumecheng-12829	61	12	including	include	VERB
fumecheng-12829	61	13	offsetting	offset	VERB
fumecheng-12829	61	14	the	the	DET
fumecheng-12829	61	15	neutral	neutral	ADJ
fumecheng-12829	61	16	surface	surface	NOUN
fumecheng-12829	61	17	,	,	PUNCT
fumecheng-12829	61	18	accounting	account	VERB
fumecheng-12829	61	19	for	for	ADP
fumecheng-12829	61	20	geometric	geometric	ADJ
fumecheng-12829	61	21	nonlinearity	nonlinearity	NOUN
fumecheng-12829	61	22	in	in	ADP
fumecheng-12829	61	23	stiffness	stiffness	ADJ
fumecheng-12829	61	24	matrices	matrix	NOUN
fumecheng-12829	61	25	,	,	PUNCT
fumecheng-12829	61	26	enhancing	enhance	VERB
fumecheng-12829	61	27	quantities	quantity	NOUN
fumecheng-12829	61	28	for	for	ADP
fumecheng-12829	61	29	bending	bend	VERB
fumecheng-12829	61	30	and	and	CCONJ
fumecheng-12829	61	31	membrane	membrane	NOUN
fumecheng-12829	61	32	deformations	deformation	NOUN
fumecheng-12829	61	33	using	use	VERB
fumecheng-12829	61	34	the	the	DET
fumecheng-12829	61	35	eas	ea	NOUN
fumecheng-12829	61	36	method	method	NOUN
fumecheng-12829	61	37	,	,	PUNCT
fumecheng-12829	61	38	and	and	CCONJ
fumecheng-12829	61	39	improving	improve	VERB
fumecheng-12829	61	40	tss	tss	NOUN
fumecheng-12829	61	41	using	use	VERB
fumecheng-12829	61	42	a	a	DET
fumecheng-12829	61	43	modified	modify	VERB
fumecheng-12829	61	44	fsdt	fsdt	NOUN
fumecheng-12829	61	45	theory	theory	NOUN
fumecheng-12829	61	46	and	and	CCONJ
fumecheng-12829	61	47	ans	an	NOUN
fumecheng-12829	61	48	method	method	NOUN
fumecheng-12829	61	49	.	.	PUNCT
fumecheng-12829	62	1	2	2	X
fumecheng-12829	62	2	.	.	NUM
fumecheng-12829	62	3	generalized	generalize	VERB
fumecheng-12829	62	4	formulation	formulation	NOUN
fumecheng-12829	62	5	and	and	CCONJ
fumecheng-12829	62	6	fe	fe	NOUN
fumecheng-12829	62	7	modeling	modeling	NOUN
fumecheng-12829	62	8	of	of	ADP
fumecheng-12829	62	9	fgp	fgp	ADJ
fumecheng-12829	62	10	shells	shell	NOUN
fumecheng-12829	62	11	the	the	DET
fumecheng-12829	62	12	study	study	NOUN
fumecheng-12829	62	13	of	of	ADP
fumecheng-12829	62	14	shell	shell	ADJ
fumecheng-12829	62	15	structures	structure	NOUN
fumecheng-12829	62	16	is	be	AUX
fumecheng-12829	62	17	significant	significant	ADJ
fumecheng-12829	62	18	in	in	ADP
fumecheng-12829	62	19	several	several	ADJ
fumecheng-12829	62	20	fields	field	NOUN
fumecheng-12829	62	21	of	of	ADP
fumecheng-12829	62	22	structural	structural	ADJ
fumecheng-12829	62	23	mechanics	mechanic	NOUN
fumecheng-12829	62	24	.	.	PUNCT
fumecheng-12829	63	1	with	with	ADP
fumecheng-12829	63	2	the	the	DET
fumecheng-12829	63	3	expansion	expansion	NOUN
fumecheng-12829	63	4	of	of	ADP
fumecheng-12829	63	5	fe	fe	NOUN
fumecheng-12829	63	6	methods	method	NOUN
fumecheng-12829	63	7	,	,	PUNCT
fumecheng-12829	63	8	various	various	ADJ
fumecheng-12829	63	9	theories	theory	NOUN
fumecheng-12829	63	10	have	have	AUX
fumecheng-12829	63	11	been	be	AUX
fumecheng-12829	63	12	proposed	propose	VERB
fumecheng-12829	63	13	to	to	PART
fumecheng-12829	63	14	examine	examine	VERB
fumecheng-12829	63	15	shell	shell	NOUN
fumecheng-12829	63	16	issues	issue	NOUN
fumecheng-12829	63	17	.	.	PUNCT
fumecheng-12829	64	1	in	in	ADP
fumecheng-12829	64	2	this	this	DET
fumecheng-12829	64	3	work	work	NOUN
fumecheng-12829	64	4	,	,	PUNCT
fumecheng-12829	64	5	the	the	DET
fumecheng-12829	64	6	extensible	extensible	ADJ
fumecheng-12829	64	7	director	director	NOUN
fumecheng-12829	64	8	shell	shell	NOUN
fumecheng-12829	64	9	approach	approach	NOUN
fumecheng-12829	64	10	is	be	AUX
fumecheng-12829	64	11	used	use	VERB
fumecheng-12829	64	12	to	to	PART
fumecheng-12829	64	13	develop	develop	VERB
fumecheng-12829	64	14	the	the	DET
fumecheng-12829	64	15	governing	govern	VERB
fumecheng-12829	64	16	mathematical	mathematical	ADJ
fumecheng-12829	64	17	expressions	expression	NOUN
fumecheng-12829	64	18	for	for	ADP
fumecheng-12829	64	19	the	the	DET
fumecheng-12829	64	20	elastic	elastic	ADJ
fumecheng-12829	64	21	case	case	NOUN
fumecheng-12829	64	22	to	to	PART
fumecheng-12829	64	23	evaluate	evaluate	VERB
fumecheng-12829	64	24	the	the	DET
fumecheng-12829	64	25	large	large	ADJ
fumecheng-12829	64	26	deflection	deflection	NOUN
fumecheng-12829	64	27	performance	performance	NOUN
fumecheng-12829	64	28	of	of	ADP
fumecheng-12829	64	29	porous	porous	ADJ
fumecheng-12829	64	30	functionally	functionally	ADV
fumecheng-12829	64	31	graded	grade	VERB
fumecheng-12829	64	32	structures	structure	NOUN
fumecheng-12829	64	33	.	.	PUNCT
fumecheng-12829	65	1	three	three	NUM
fumecheng-12829	65	2	essential	essential	ADJ
fumecheng-12829	65	3	concepts	concept	NOUN
fumecheng-12829	65	4	underpin	underpin	VERB
fumecheng-12829	65	5	the	the	DET
fumecheng-12829	65	6	extensible	extensible	ADJ
fumecheng-12829	65	7	fsdt	fsdt	NOUN
fumecheng-12829	65	8	shell	shell	PROPN
fumecheng-12829	65	9	theory	theory	NOUN
fumecheng-12829	65	10	.	.	PUNCT
fumecheng-12829	66	1	the	the	DET
fumecheng-12829	66	2	first	first	ADJ
fumecheng-12829	66	3	concept	concept	NOUN
fumecheng-12829	66	4	illustrates	illustrate	VERB
fumecheng-12829	66	5	the	the	DET
fumecheng-12829	66	6	position	position	NOUN
fumecheng-12829	66	7	of	of	ADP
fumecheng-12829	66	8	the	the	DET
fumecheng-12829	66	9	director	director	NOUN
fumecheng-12829	66	10	dispersion	dispersion	NOUN
fumecheng-12829	66	11	in	in	ADP
fumecheng-12829	66	12	the	the	DET
fumecheng-12829	66	13	deformed	deform	VERB
fumecheng-12829	66	14	state	state	NOUN
fumecheng-12829	66	15	.	.	PUNCT
fumecheng-12829	67	1	the	the	DET
fumecheng-12829	67	2	second	second	ADJ
fumecheng-12829	67	3	concept	concept	NOUN
fumecheng-12829	67	4	,	,	PUNCT
fumecheng-12829	67	5	called	call	VERB
fumecheng-12829	67	6	parabolic	parabolic	PROPN
fumecheng-12829	67	7	tss	tss	PROPN
fumecheng-12829	67	8	,	,	PUNCT
fumecheng-12829	67	9	assumes	assume	VERB
fumecheng-12829	67	10	that	that	SCONJ
fumecheng-12829	67	11	the	the	DET
fumecheng-12829	67	12	distribution	distribution	NOUN
fumecheng-12829	67	13	of	of	ADP
fumecheng-12829	67	14	tss	tss	NOUN
fumecheng-12829	67	15	across	across	ADP
fumecheng-12829	67	16	the	the	DET
fumecheng-12829	67	17	structure	structure	NOUN
fumecheng-12829	67	18	's	's	PART
fumecheng-12829	67	19	thickness	thickness	NOUN
fumecheng-12829	67	20	is	be	AUX
fumecheng-12829	67	21	formulated	formulate	VERB
fumecheng-12829	67	22	as	as	ADP
fumecheng-12829	67	23	polynomial	polynomial	ADJ
fumecheng-12829	67	24	of	of	ADP
fumecheng-12829	67	25	degree	degree	NOUN
fumecheng-12829	67	26	two	two	NUM
fumecheng-12829	67	27	.	.	PUNCT
fumecheng-12829	68	1	the	the	DET
fumecheng-12829	68	2	inclusion	inclusion	NOUN
fumecheng-12829	68	3	of	of	ADP
fumecheng-12829	68	4	the	the	DET
fumecheng-12829	68	5	thickness	thickness	NOUN
fumecheng-12829	68	6	stretching	stretch	VERB
fumecheng-12829	68	7	parameter	parameter	NOUN
fumecheng-12829	68	8	in	in	ADP
fumecheng-12829	68	9	shell	shell	ADJ
fumecheng-12829	68	10	elements	element	NOUN
fumecheng-12829	68	11	is	be	AUX
fumecheng-12829	68	12	established	establish	VERB
fumecheng-12829	68	13	in	in	ADP
fumecheng-12829	68	14	accordance	accordance	NOUN
fumecheng-12829	68	15	with	with	ADP
fumecheng-12829	68	16	the	the	DET
fumecheng-12829	68	17	third	third	ADJ
fumecheng-12829	68	18	concept	concept	NOUN
fumecheng-12829	68	19	.	.	PUNCT
fumecheng-12829	69	1	2.1	2.1	NUM
fumecheng-12829	69	2	.	.	PUNCT
fumecheng-12829	69	3	fgp	fgp	ADJ
fumecheng-12829	69	4	properties	property	NOUN
fumecheng-12829	69	5	’	'	PUNCT
fumecheng-12829	69	6	estimation	estimation	NOUN
fumecheng-12829	69	7	the	the	DET
fumecheng-12829	69	8	increasing	increase	VERB
fumecheng-12829	69	9	application	application	NOUN
fumecheng-12829	69	10	of	of	ADP
fumecheng-12829	69	11	functionally	functionally	ADV
fumecheng-12829	69	12	graded	grade	VERB
fumecheng-12829	69	13	materials	material	NOUN
fumecheng-12829	69	14	in	in	ADP
fumecheng-12829	69	15	thin	thin	ADJ
fumecheng-12829	69	16	-	-	PUNCT
fumecheng-12829	69	17	walled	walled	ADJ
fumecheng-12829	69	18	structures	structure	NOUN
fumecheng-12829	69	19	necessitates	necessitate	VERB
fumecheng-12829	69	20	the	the	DET
fumecheng-12829	69	21	development	development	NOUN
fumecheng-12829	69	22	of	of	ADP
fumecheng-12829	69	23	accurate	accurate	ADJ
fumecheng-12829	69	24	predictive	predictive	ADJ
fumecheng-12829	69	25	models	model	NOUN
fumecheng-12829	69	26	to	to	PART
fumecheng-12829	69	27	characterize	characterize	VERB
fumecheng-12829	69	28	their	their	PRON
fumecheng-12829	69	29	material	material	ADJ
fumecheng-12829	69	30	behavior	behavior	NOUN
fumecheng-12829	69	31	.	.	PUNCT
fumecheng-12829	70	1	in	in	ADP
fumecheng-12829	70	2	this	this	DET
fumecheng-12829	70	3	investigation	investigation	NOUN
fumecheng-12829	70	4	,	,	PUNCT
fumecheng-12829	70	5	the	the	DET
fumecheng-12829	70	6	rule	rule	NOUN
fumecheng-12829	70	7	of	of	ADP
fumecheng-12829	70	8	mixture	mixture	NOUN
fumecheng-12829	70	9	(	(	PUNCT
fumecheng-12829	70	10	rom	rom	NOUN
fumecheng-12829	70	11	)	)	PUNCT
fumecheng-12829	70	12	is	be	AUX
fumecheng-12829	70	13	employed	employ	VERB
fumecheng-12829	70	14	to	to	PART
fumecheng-12829	70	15	analyze	analyze	VERB
fumecheng-12829	70	16	the	the	DET
fumecheng-12829	70	17	performance	performance	NOUN
fumecheng-12829	70	18	of	of	ADP
fumecheng-12829	70	19	these	these	DET
fumecheng-12829	70	20	advanced	advanced	ADJ
fumecheng-12829	70	21	materials	material	NOUN
fumecheng-12829	70	22	.	.	PUNCT
fumecheng-12829	71	1	fgms	fgms	PROPN
fumecheng-12829	71	2	can	can	AUX
fumecheng-12829	71	3	be	be	AUX
fumecheng-12829	71	4	categorized	categorize	VERB
fumecheng-12829	71	5	into	into	ADP
fumecheng-12829	71	6	two	two	NUM
fumecheng-12829	71	7	classes	class	NOUN
fumecheng-12829	71	8	:	:	PUNCT
fumecheng-12829	71	9	perfect	perfect	ADJ
fumecheng-12829	71	10	and	and	CCONJ
fumecheng-12829	71	11	imperfect	imperfect	ADJ
fumecheng-12829	71	12	.	.	PUNCT
fumecheng-12829	72	1	perfect	perfect	ADJ
fumecheng-12829	72	2	fgms	fgm	NOUN
fumecheng-12829	72	3	are	be	AUX
fumecheng-12829	72	4	composed	compose	VERB
fumecheng-12829	72	5	of	of	ADP
fumecheng-12829	72	6	two	two	NUM
fumecheng-12829	72	7	phases	phase	NOUN
fumecheng-12829	72	8	:	:	PUNCT
fumecheng-12829	72	9	ceramic	ceramic	ADJ
fumecheng-12829	72	10	and	and	CCONJ
fumecheng-12829	72	11	metal	metal	NOUN
fumecheng-12829	72	12	where	where	SCONJ
fumecheng-12829	72	13	the	the	DET
fumecheng-12829	72	14	composition	composition	NOUN
fumecheng-12829	72	15	and	and	CCONJ
fumecheng-12829	72	16	properties	property	NOUN
fumecheng-12829	72	17	change	change	VERB
fumecheng-12829	72	18	gradually	gradually	ADV
fumecheng-12829	72	19	within	within	ADP
fumecheng-12829	72	20	the	the	DET
fumecheng-12829	72	21	material	material	NOUN
fumecheng-12829	72	22	.	.	PUNCT
fumecheng-12829	73	1	imperfect	imperfect	ADJ
fumecheng-12829	73	2	fgms	fgm	NOUN
fumecheng-12829	73	3	,	,	PUNCT
fumecheng-12829	73	4	on	on	ADP
fumecheng-12829	73	5	the	the	DET
fumecheng-12829	73	6	other	other	ADJ
fumecheng-12829	73	7	hand	hand	NOUN
fumecheng-12829	73	8	,	,	PUNCT
fumecheng-12829	73	9	are	be	AUX
fumecheng-12829	73	10	characterized	characterize	VERB
fumecheng-12829	73	11	by	by	ADP
fumecheng-12829	73	12	the	the	DET
fumecheng-12829	73	13	presence	presence	NOUN
fumecheng-12829	73	14	of	of	ADP
fumecheng-12829	73	15	internal	internal	ADJ
fumecheng-12829	73	16	pores	pore	NOUN
fumecheng-12829	73	17	within	within	ADP
fumecheng-12829	73	18	their	their	PRON
fumecheng-12829	73	19	microstructure	microstructure	NOUN
fumecheng-12829	73	20	(	(	PUNCT
fumecheng-12829	73	21	see	see	VERB
fumecheng-12829	73	22	fig.1	fig.1	PROPN
fumecheng-12829	73	23	)	)	PUNCT
fumecheng-12829	73	24	.	.	PUNCT
fumecheng-12829	74	1	fig	fig	NOUN
fumecheng-12829	74	2	.	.	PUNCT
fumecheng-12829	75	1	1	1	NUM
fumecheng-12829	75	2	perfect	perfect	ADJ
fumecheng-12829	75	3	and	and	CCONJ
fumecheng-12829	75	4	imperfect	imperfect	ADJ
fumecheng-12829	75	5	fgm	fgm	PROPN
fumecheng-12829	75	6	porosity	porosity	NOUN
fumecheng-12829	75	7	effects	effect	NOUN
fumecheng-12829	75	8	on	on	ADP
fumecheng-12829	75	9	nonlinear	nonlinear	ADJ
fumecheng-12829	75	10	static	static	ADJ
fumecheng-12829	75	11	performances	performance	NOUN
fumecheng-12829	75	12	of	of	ADP
fumecheng-12829	75	13	fg	fg	PROPN
fumecheng-12829	75	14	shells	shell	NOUN
fumecheng-12829	75	15	considering	consider	VERB
fumecheng-12829	75	16	thickness	thickness	NOUN
fumecheng-12829	75	17	stretching	stretch	VERB
fumecheng-12829	75	18	831	831	NUM
fumecheng-12829	75	19	2.1.1	2.1.1	NUM
fumecheng-12829	75	20	.	.	PUNCT
fumecheng-12829	76	1	perfect	perfect	ADJ
fumecheng-12829	76	2	fgm	fgm	PROPN
fumecheng-12829	76	3	material	material	NOUN
fumecheng-12829	76	4	properties	property	NOUN
fumecheng-12829	76	5	fgms	fgm	VERB
fumecheng-12829	76	6	are	be	AUX
fumecheng-12829	76	7	composite	composite	ADJ
fumecheng-12829	76	8	materials	material	NOUN
fumecheng-12829	76	9	composed	compose	VERB
fumecheng-12829	76	10	of	of	ADP
fumecheng-12829	76	11	distinct	distinct	ADJ
fumecheng-12829	76	12	phases	phase	NOUN
fumecheng-12829	76	13	,	,	PUNCT
fumecheng-12829	76	14	typically	typically	ADV
fumecheng-12829	76	15	metals	metal	NOUN
fumecheng-12829	76	16	and	and	CCONJ
fumecheng-12829	76	17	ceramics	ceramic	NOUN
fumecheng-12829	76	18	,	,	PUNCT
fumecheng-12829	76	19	which	which	PRON
fumecheng-12829	76	20	vary	vary	VERB
fumecheng-12829	76	21	gradually	gradually	ADV
fumecheng-12829	76	22	in	in	ADP
fumecheng-12829	76	23	volumetric	volumetric	ADJ
fumecheng-12829	76	24	fraction	fraction	NOUN
fumecheng-12829	76	25	along	along	ADP
fumecheng-12829	76	26	the	the	DET
fumecheng-12829	76	27	thickness	thickness	NOUN
fumecheng-12829	76	28	direction	direction	NOUN
fumecheng-12829	76	29	.	.	PUNCT
fumecheng-12829	77	1	this	this	DET
fumecheng-12829	77	2	gradual	gradual	ADJ
fumecheng-12829	77	3	variation	variation	NOUN
fumecheng-12829	77	4	results	result	NOUN
fumecheng-12829	77	5	in	in	ADP
fumecheng-12829	77	6	material	material	NOUN
fumecheng-12829	77	7	properties	property	NOUN
fumecheng-12829	77	8	that	that	PRON
fumecheng-12829	77	9	smoothly	smoothly	ADV
fumecheng-12829	77	10	transition	transition	VERB
fumecheng-12829	77	11	from	from	ADP
fumecheng-12829	77	12	one	one	NUM
fumecheng-12829	77	13	constituent	constituent	NOUN
fumecheng-12829	77	14	to	to	ADP
fumecheng-12829	77	15	another	another	PRON
fumecheng-12829	77	16	.	.	PUNCT
fumecheng-12829	78	1	typically	typically	ADV
fumecheng-12829	78	2	,	,	PUNCT
fumecheng-12829	78	3	the	the	DET
fumecheng-12829	78	4	top	top	ADJ
fumecheng-12829	78	5	surface	surface	NOUN
fumecheng-12829	78	6	consists	consist	VERB
fumecheng-12829	78	7	of	of	ADP
fumecheng-12829	78	8	ceramic	ceramic	ADJ
fumecheng-12829	78	9	while	while	SCONJ
fumecheng-12829	78	10	the	the	DET
fumecheng-12829	78	11	bottom	bottom	ADJ
fumecheng-12829	78	12	surface	surface	NOUN
fumecheng-12829	78	13	is	be	AUX
fumecheng-12829	78	14	made	make	VERB
fumecheng-12829	78	15	of	of	ADP
fumecheng-12829	78	16	metal	metal	NOUN
fumecheng-12829	78	17	.	.	PUNCT
fumecheng-12829	79	1	in	in	ADP
fumecheng-12829	79	2	this	this	DET
fumecheng-12829	79	3	study	study	NOUN
fumecheng-12829	79	4	,	,	PUNCT
fumecheng-12829	79	5	the	the	DET
fumecheng-12829	79	6	mechanical	mechanical	ADJ
fumecheng-12829	79	7	properties	property	NOUN
fumecheng-12829	79	8	of	of	ADP
fumecheng-12829	79	9	the	the	DET
fumecheng-12829	79	10	material	material	NOUN
fumecheng-12829	79	11	evolve	evolve	NOUN
fumecheng-12829	79	12	according	accord	VERB
fumecheng-12829	79	13	to	to	ADP
fumecheng-12829	79	14	a	a	DET
fumecheng-12829	79	15	power	power	NOUN
fumecheng-12829	79	16	law	law	NOUN
fumecheng-12829	79	17	distribution	distribution	NOUN
fumecheng-12829	79	18	(	(	PUNCT
fumecheng-12829	79	19	where	where	SCONJ
fumecheng-12829	79	20	n	n	PRON
fumecheng-12829	79	21	denotes	denote	VERB
fumecheng-12829	79	22	the	the	DET
fumecheng-12829	79	23	power	power	NOUN
fumecheng-12829	79	24	low	low	PROPN
fumecheng-12829	79	25	index	index	PROPN
fumecheng-12829	79	26	)	)	PUNCT
fumecheng-12829	79	27	,	,	PUNCT
fumecheng-12829	79	28	considering	consider	VERB
fumecheng-12829	79	29	the	the	DET
fumecheng-12829	79	30	specific	specific	ADJ
fumecheng-12829	79	31	material	material	NOUN
fumecheng-12829	79	32	properties	property	NOUN
fumecheng-12829	79	33	of	of	ADP
fumecheng-12829	79	34	the	the	DET
fumecheng-12829	79	35	ceramic	ceramic	ADJ
fumecheng-12829	79	36	and	and	CCONJ
fumecheng-12829	79	37	metal	metal	NOUN
fumecheng-12829	79	38	phases	phase	NOUN
fumecheng-12829	79	39	(	(	PUNCT
fumecheng-12829	79	40	as	as	SCONJ
fumecheng-12829	79	41	illustrated	illustrate	VERB
fumecheng-12829	79	42	in	in	ADP
fumecheng-12829	79	43	fig	fig	NOUN
fumecheng-12829	79	44	.	.	PUNCT
fumecheng-12829	80	1	2	2	NUM
fumecheng-12829	80	2	with	with	ADP
fumecheng-12829	80	3	the	the	DET
fumecheng-12829	80	4	porosity	porosity	NOUN
fumecheng-12829	80	5	volume	volume	NOUN
fumecheng-12829	80	6	fraction	fraction	NOUN
fumecheng-12829	80	7	α	α	PROPN
fumecheng-12829	80	8	set	set	VERB
fumecheng-12829	80	9	to	to	ADP
fumecheng-12829	80	10	0	0	NUM
fumecheng-12829	80	11	)	)	PUNCT
fumecheng-12829	80	12	.	.	PUNCT
fumecheng-12829	81	1	it	it	PRON
fumecheng-12829	81	2	is	be	AUX
fumecheng-12829	81	3	worth	worth	ADJ
fumecheng-12829	81	4	mentioning	mention	VERB
fumecheng-12829	81	5	that	that	SCONJ
fumecheng-12829	81	6	when	when	SCONJ
fumecheng-12829	81	7	n	n	PRON
fumecheng-12829	81	8	equals	equal	VERB
fumecheng-12829	81	9	zero	zero	NUM
fumecheng-12829	81	10	,	,	PUNCT
fumecheng-12829	81	11	the	the	DET
fumecheng-12829	81	12	material	material	NOUN
fumecheng-12829	81	13	is	be	AUX
fumecheng-12829	81	14	entirely	entirely	ADV
fumecheng-12829	81	15	ceramic	ceramic	ADJ
fumecheng-12829	81	16	,	,	PUNCT
fumecheng-12829	81	17	and	and	CCONJ
fumecheng-12829	81	18	as	as	SCONJ
fumecheng-12829	81	19	n	n	PRON
fumecheng-12829	81	20	tends	tend	VERB
fumecheng-12829	81	21	to	to	PART
fumecheng-12829	81	22	infinity	infinity	VERB
fumecheng-12829	81	23	,	,	PUNCT
fumecheng-12829	81	24	the	the	DET
fumecheng-12829	81	25	material	material	NOUN
fumecheng-12829	81	26	transitions	transition	NOUN
fumecheng-12829	81	27	to	to	AUX
fumecheng-12829	81	28	being	be	AUX
fumecheng-12829	81	29	entirely	entirely	ADV
fumecheng-12829	81	30	metal	metal	ADJ
fumecheng-12829	81	31	.	.	PUNCT
fumecheng-12829	82	1	in	in	ADP
fumecheng-12829	82	2	situations	situation	NOUN
fumecheng-12829	82	3	where	where	SCONJ
fumecheng-12829	82	4	there	there	PRON
fumecheng-12829	82	5	are	be	VERB
fumecheng-12829	82	6	asymmetrical	asymmetrical	ADJ
fumecheng-12829	82	7	variations	variation	NOUN
fumecheng-12829	82	8	in	in	ADP
fumecheng-12829	82	9	material	material	NOUN
fumecheng-12829	82	10	properties	property	NOUN
fumecheng-12829	82	11	,	,	PUNCT
fumecheng-12829	82	12	particularly	particularly	ADV
fumecheng-12829	82	13	in	in	ADP
fumecheng-12829	82	14	terms	term	NOUN
fumecheng-12829	82	15	of	of	ADP
fumecheng-12829	82	16	e	e	NOUN
fumecheng-12829	82	17	,	,	PUNCT
fumecheng-12829	82	18	the	the	DET
fumecheng-12829	82	19	offset	offset	ADJ
fumecheng-12829	82	20	𝑧̅	𝑧̅	NOUN
fumecheng-12829	82	21	of	of	ADP
fumecheng-12829	82	22	the	the	DET
fumecheng-12829	82	23	neutral	neutral	ADJ
fumecheng-12829	82	24	surface	surface	NOUN
fumecheng-12829	82	25	from	from	ADP
fumecheng-12829	82	26	the	the	DET
fumecheng-12829	82	27	discretized	discretized	ADJ
fumecheng-12829	82	28	mid	mid	NOUN
fumecheng-12829	82	29	-	-	NOUN
fumecheng-12829	82	30	plane	plane	NOUN
fumecheng-12829	82	31	is	be	AUX
fumecheng-12829	82	32	defined	define	VERB
fumecheng-12829	82	33	as	as	ADP
fumecheng-12829	82	34	detailed	detailed	ADJ
fumecheng-12829	82	35	in	in	ADP
fumecheng-12829	82	36	reference	reference	NOUN
fumecheng-12829	82	37	[	[	X
fumecheng-12829	82	38	24	24	NUM
fumecheng-12829	82	39	]	]	PUNCT
fumecheng-12829	82	40	.	.	PUNCT
fumecheng-12829	83	1	/2	/2	PROPN
fumecheng-12829	83	2	/21	/21	PUNCT
fumecheng-12829	84	1	/2	/2	PROPN
fumecheng-12829	85	1	1	1	NUM
fumecheng-12829	85	2	/2	/2	PRON
fumecheng-12829	85	3	(	(	PUNCT
fumecheng-12829	85	4	)	)	PUNCT
fumecheng-12829	85	5	;	;	PUNCT
fumecheng-12829	85	6	(	(	PUNCT
fumecheng-12829	85	7	)	)	PUNCT
fumecheng-12829	85	8	h	h	NOUN
fumecheng-12829	85	9	h	h	NOUN
fumecheng-12829	85	10	h	h	NOUN
fumecheng-12829	85	11	h	h	NOUN
fumecheng-12829	85	12	e	e	NOUN
fumecheng-12829	85	13	e	e	PROPN
fumecheng-12829	85	14	z	z	PROPN
fumecheng-12829	85	15	dze	dze	PROPN
fumecheng-12829	85	16	z	z	NOUN
fumecheng-12829	85	17	e	e	X
fumecheng-12829	85	18	e	e	X
fumecheng-12829	85	19	e	e	X
fumecheng-12829	85	20	z	z	NOUN
fumecheng-12829	85	21	z	z	NOUN
fumecheng-12829	85	22	dz	dz	NOUN
fumecheng-12829	86	1	−	−	NOUN
fumecheng-12829	86	2	−	−	NOUN
fumecheng-12829	86	3			NOUN
fumecheng-12829	86	4	=	=	PUNCT
fumecheng-12829	87	1			NUM
fumecheng-12829	87	2	=	=	SYM
fumecheng-12829	87	3			NUM
fumecheng-12829	88	1			NUM
fumecheng-12829	88	2	=	=	SYM
fumecheng-12829	88	3			PROPN
fumecheng-12829	88	4			X
fumecheng-12829	88	5			X
fumecheng-12829	88	6	(	(	PUNCT
fumecheng-12829	88	7	1	1	X
fumecheng-12829	88	8	)	)	PUNCT
fumecheng-12829	88	9	where	where	SCONJ
fumecheng-12829	88	10	�	�	NOUN
fumecheng-12829	88	11	̅	̅	VERB
fumecheng-12829	88	12	�	�	PROPN
fumecheng-12829	88	13	and	and	CCONJ
fumecheng-12829	88	14	�	�	PROPN
fumecheng-12829	88	15	̅	̅	NOUN
fumecheng-12829	88	16	�	�	NOUN
fumecheng-12829	88	17	1	1	NUM
fumecheng-12829	88	18	are	be	AUX
fumecheng-12829	88	19	the	the	DET
fumecheng-12829	88	20	effective	effective	ADJ
fumecheng-12829	88	21	moduli	modulus	NOUN
fumecheng-12829	88	22	for	for	ADP
fumecheng-12829	88	23	membrane	membrane	NOUN
fumecheng-12829	88	24	and	and	CCONJ
fumecheng-12829	88	25	bending	bending	NOUN
fumecheng-12829	88	26	,	,	PUNCT
fumecheng-12829	88	27	respectively	respectively	ADV
fumecheng-12829	88	28	.	.	PUNCT
fumecheng-12829	89	1	subsequently	subsequently	ADV
fumecheng-12829	89	2	,	,	PUNCT
fumecheng-12829	89	3	the	the	DET
fumecheng-12829	89	4	analytical	analytical	ADJ
fumecheng-12829	89	5	representation	representation	NOUN
fumecheng-12829	89	6	of	of	ADP
fumecheng-12829	89	7	𝑧̅	𝑧̅	PROPN
fumecheng-12829	89	8	/h	/h	PUNCT
fumecheng-12829	89	9	is	be	AUX
fumecheng-12829	89	10	approximated	approximate	VERB
fumecheng-12829	89	11	as	as	ADP
fumecheng-12829	89	12	[	[	X
fumecheng-12829	89	13	24	24	NUM
fumecheng-12829	89	14	]	]	NUM
fumecheng-12829	89	15	:	:	PUNCT
fumecheng-12829	89	16	(	(	PUNCT
fumecheng-12829	89	17	1	1	X
fumecheng-12829	89	18	)	)	PUNCT
fumecheng-12829	89	19	(	(	PUNCT
fumecheng-12829	89	20	1	1	NUM
fumecheng-12829	89	21	)	)	PUNCT
fumecheng-12829	89	22	/	/	PUNCT
fumecheng-12829	89	23	;	;	PUNCT
fumecheng-12829	89	24	2	2	NUM
fumecheng-12829	89	25	(	(	PUNCT
fumecheng-12829	89	26	1	1	NUM
fumecheng-12829	89	27	)	)	PUNCT
fumecheng-12829	89	28	(	(	PUNCT
fumecheng-12829	89	29	2	2	NUM
fumecheng-12829	89	30	)	)	PUNCT
fumecheng-12829	89	31	(	(	PUNCT
fumecheng-12829	89	32	)	)	PUNCT
fumecheng-12829	89	33	c	c	NOUN
fumecheng-12829	89	34	m	m	VERB
fumecheng-12829	89	35	en	en	PROPN
fumecheng-12829	89	36	k	k	PROPN
fumecheng-12829	89	37	n	n	PROPN
fumecheng-12829	89	38	z	z	NOUN
fumecheng-12829	89	39	h	h	NOUN
fumecheng-12829	90	1	k	k	PROPN
fumecheng-12829	90	2	n	n	PROPN
fumecheng-12829	90	3	n	n	CCONJ
fumecheng-12829	90	4	n	n	ADV
fumecheng-12829	90	5	k	k	NOUN
fumecheng-12829	90	6	e	e	ADP
fumecheng-12829	90	7	−	−	PROPN
fumecheng-12829	91	1	+	+	CCONJ
fumecheng-12829	91	2	=	=	SYM
fumecheng-12829	91	3	=	=	PUNCT
fumecheng-12829	92	1	+	+	PUNCT
fumecheng-12829	92	2	+	+	PUNCT
fumecheng-12829	92	3	+	+	CCONJ
fumecheng-12829	92	4	(	(	PUNCT
fumecheng-12829	92	5	2	2	NUM
fumecheng-12829	92	6	)	)	PUNCT
fumecheng-12829	92	7	in	in	ADP
fumecheng-12829	92	8	this	this	DET
fumecheng-12829	92	9	study	study	NOUN
fumecheng-12829	92	10	,	,	PUNCT
fumecheng-12829	92	11	the	the	DET
fumecheng-12829	92	12	modified	modify	VERB
fumecheng-12829	92	13	rule	rule	NOUN
fumecheng-12829	92	14	of	of	ADP
fumecheng-12829	92	15	mixture	mixture	NOUN
fumecheng-12829	92	16	(	(	PUNCT
fumecheng-12829	92	17	mrom	mrom	NOUN
fumecheng-12829	92	18	)	)	PUNCT
fumecheng-12829	92	19	refers	refer	VERB
fumecheng-12829	92	20	to	to	ADP
fumecheng-12829	92	21	an	an	DET
fumecheng-12829	92	22	enhancement	enhancement	NOUN
fumecheng-12829	92	23	of	of	ADP
fumecheng-12829	92	24	the	the	DET
fumecheng-12829	92	25	traditional	traditional	ADJ
fumecheng-12829	92	26	rule	rule	NOUN
fumecheng-12829	92	27	of	of	ADP
fumecheng-12829	92	28	mixture	mixture	NOUN
fumecheng-12829	92	29	used	use	VERB
fumecheng-12829	92	30	in	in	ADP
fumecheng-12829	92	31	composite	composite	ADJ
fumecheng-12829	92	32	materials	material	NOUN
fumecheng-12829	92	33	analysis	analysis	NOUN
fumecheng-12829	92	34	.	.	PUNCT
fumecheng-12829	93	1	the	the	DET
fumecheng-12829	93	2	rule	rule	NOUN
fumecheng-12829	93	3	of	of	ADP
fumecheng-12829	93	4	mixture	mixture	NOUN
fumecheng-12829	93	5	(	(	PUNCT
fumecheng-12829	93	6	fig	fig	NOUN
fumecheng-12829	93	7	.	.	PUNCT
fumecheng-12829	93	8	2	2	NUM
fumecheng-12829	93	9	)	)	PUNCT
fumecheng-12829	93	10	,	,	PUNCT
fumecheng-12829	93	11	also	also	ADV
fumecheng-12829	93	12	entitled	entitle	VERB
fumecheng-12829	93	13	the	the	DET
fumecheng-12829	93	14	fgm	fgm	PROPN
fumecheng-12829	93	15	homogenization	homogenization	NOUN
fumecheng-12829	93	16	schema	schema	NOUN
fumecheng-12829	93	17	,	,	PUNCT
fumecheng-12829	93	18	is	be	AUX
fumecheng-12829	93	19	used	use	VERB
fumecheng-12829	93	20	to	to	PART
fumecheng-12829	93	21	predict	predict	VERB
fumecheng-12829	93	22	the	the	DET
fumecheng-12829	93	23	overall	overall	ADJ
fumecheng-12829	93	24	properties	property	NOUN
fumecheng-12829	93	25	of	of	ADP
fumecheng-12829	93	26	an	an	DET
fumecheng-12829	93	27	fgm	fgm	PROPN
fumecheng-12829	93	28	based	base	VERB
fumecheng-12829	93	29	on	on	ADP
fumecheng-12829	93	30	the	the	DET
fumecheng-12829	93	31	properties	property	NOUN
fumecheng-12829	93	32	of	of	ADP
fumecheng-12829	93	33	its	its	PRON
fumecheng-12829	93	34	individual	individual	ADJ
fumecheng-12829	93	35	constituents	constituent	NOUN
fumecheng-12829	93	36	and	and	CCONJ
fumecheng-12829	93	37	their	their	PRON
fumecheng-12829	93	38	volume	volume	NOUN
fumecheng-12829	93	39	fractions	fraction	NOUN
fumecheng-12829	93	40	.	.	PUNCT
fumecheng-12829	94	1	in	in	ADP
fumecheng-12829	94	2	the	the	DET
fumecheng-12829	94	3	context	context	NOUN
fumecheng-12829	94	4	of	of	ADP
fumecheng-12829	94	5	wattanasakulpong	wattanasakulpong	NOUN
fumecheng-12829	94	6	and	and	CCONJ
fumecheng-12829	94	7	ungbhakorn	ungbhakorn	NOUN
fumecheng-12829	94	8	's	's	PART
fumecheng-12829	94	9	work	work	NOUN
fumecheng-12829	94	10	[	[	X
fumecheng-12829	94	11	25	25	NUM
fumecheng-12829	94	12	]	]	PUNCT
fumecheng-12829	94	13	,	,	PUNCT
fumecheng-12829	94	14	the	the	DET
fumecheng-12829	94	15	modified	modify	VERB
fumecheng-12829	94	16	rule	rule	NOUN
fumecheng-12829	94	17	of	of	ADP
fumecheng-12829	94	18	mixture	mixture	NOUN
fumecheng-12829	94	19	extends	extend	VERB
fumecheng-12829	94	20	this	this	DET
fumecheng-12829	94	21	concept	concept	NOUN
fumecheng-12829	94	22	by	by	ADP
fumecheng-12829	94	23	incorporating	incorporate	VERB
fumecheng-12829	94	24	additional	additional	ADJ
fumecheng-12829	94	25	factors	factor	NOUN
fumecheng-12829	94	26	or	or	CCONJ
fumecheng-12829	94	27	adjustments	adjustment	NOUN
fumecheng-12829	94	28	to	to	PART
fumecheng-12829	94	29	more	more	ADV
fumecheng-12829	94	30	accurately	accurately	ADV
fumecheng-12829	94	31	predict	predict	VERB
fumecheng-12829	94	32	the	the	DET
fumecheng-12829	94	33	behavior	behavior	NOUN
fumecheng-12829	94	34	of	of	ADP
fumecheng-12829	94	35	functionally	functionally	ADV
fumecheng-12829	94	36	graded	grade	VERB
fumecheng-12829	94	37	materials	material	NOUN
fumecheng-12829	94	38	(	(	PUNCT
fumecheng-12829	94	39	fgms	fgms	PROPN
fumecheng-12829	94	40	)	)	PUNCT
fumecheng-12829	94	41	.	.	PUNCT
fumecheng-12829	95	1	these	these	DET
fumecheng-12829	95	2	factors	factor	NOUN
fumecheng-12829	95	3	may	may	AUX
fumecheng-12829	95	4	firstly	firstly	ADV
fumecheng-12829	95	5	refer	refer	VERB
fumecheng-12829	95	6	to	to	ADP
fumecheng-12829	95	7	the	the	DET
fumecheng-12829	95	8	porosity	porosity	NOUN
fumecheng-12829	95	9	volume	volume	NOUN
fumecheng-12829	95	10	fraction	fraction	NOUN
fumecheng-12829	95	11	α	α	PROPN
fumecheng-12829	95	12	that	that	PRON
fumecheng-12829	95	13	defines	define	VERB
fumecheng-12829	95	14	the	the	DET
fumecheng-12829	95	15	proportion	proportion	NOUN
fumecheng-12829	95	16	of	of	ADP
fumecheng-12829	95	17	the	the	DET
fumecheng-12829	95	18	fgm	fgm	PROPN
fumecheng-12829	95	19	's	's	PART
fumecheng-12829	95	20	volume	volume	NOUN
fumecheng-12829	95	21	that	that	PRON
fumecheng-12829	95	22	is	be	AUX
fumecheng-12829	95	23	occupied	occupy	VERB
fumecheng-12829	95	24	by	by	ADP
fumecheng-12829	95	25	voids	void	NOUN
fumecheng-12829	95	26	or	or	CCONJ
fumecheng-12829	95	27	pores	pore	NOUN
fumecheng-12829	95	28	.	.	PUNCT
fumecheng-12829	96	1	these	these	DET
fumecheng-12829	96	2	porosities	porosity	NOUN
fumecheng-12829	96	3	can	can	AUX
fumecheng-12829	96	4	be	be	AUX
fumecheng-12829	96	5	distributed	distribute	VERB
fumecheng-12829	96	6	either	either	CCONJ
fumecheng-12829	96	7	evenly	evenly	ADV
fumecheng-12829	96	8	or	or	CCONJ
fumecheng-12829	96	9	unevenly	unevenly	ADV
fumecheng-12829	96	10	(	(	PUNCT
fumecheng-12829	96	11	as	as	SCONJ
fumecheng-12829	96	12	shown	show	VERB
fumecheng-12829	96	13	in	in	ADP
fumecheng-12829	96	14	fig	fig	NOUN
fumecheng-12829	96	15	.	.	PUNCT
fumecheng-12829	97	1	2	2	NUM
fumecheng-12829	97	2	)	)	PUNCT
fumecheng-12829	97	3	across	across	ADP
fumecheng-12829	97	4	the	the	DET
fumecheng-12829	97	5	thickness	thickness	NOUN
fumecheng-12829	97	6	of	of	ADP
fumecheng-12829	97	7	the	the	DET
fumecheng-12829	97	8	structure	structure	NOUN
fumecheng-12829	97	9	.	.	PUNCT
fumecheng-12829	98	1	it	it	PRON
fumecheng-12829	98	2	is	be	AUX
fumecheng-12829	98	3	assumed	assume	VERB
fumecheng-12829	98	4	that	that	SCONJ
fumecheng-12829	98	5	the	the	DET
fumecheng-12829	98	6	top	top	ADJ
fumecheng-12829	98	7	surface	surface	NOUN
fumecheng-12829	98	8	is	be	AUX
fumecheng-12829	98	9	predominantly	predominantly	ADV
fumecheng-12829	98	10	ceramic	ceramic	ADJ
fumecheng-12829	98	11	,	,	PUNCT
fumecheng-12829	98	12	while	while	SCONJ
fumecheng-12829	98	13	the	the	DET
fumecheng-12829	98	14	bottom	bottom	ADJ
fumecheng-12829	98	15	surface	surface	NOUN
fumecheng-12829	98	16	is	be	AUX
fumecheng-12829	98	17	primarily	primarily	ADV
fumecheng-12829	98	18	metal	metal	NOUN
fumecheng-12829	98	19	,	,	PUNCT
fumecheng-12829	98	20	with	with	ADP
fumecheng-12829	98	21	a	a	DET
fumecheng-12829	98	22	continuous	continuous	ADJ
fumecheng-12829	98	23	variation	variation	NOUN
fumecheng-12829	98	24	of	of	ADP
fumecheng-12829	98	25	the	the	DET
fumecheng-12829	98	26	material	material	NOUN
fumecheng-12829	98	27	composition	composition	NOUN
fumecheng-12829	98	28	throughout	throughout	ADP
fumecheng-12829	98	29	the	the	DET
fumecheng-12829	98	30	thickness	thickness	NOUN
fumecheng-12829	98	31	.	.	PUNCT
fumecheng-12829	99	1	the	the	DET
fumecheng-12829	99	2	material	material	NOUN
fumecheng-12829	99	3	properties	property	NOUN
fumecheng-12829	99	4	of	of	ADP
fumecheng-12829	99	5	the	the	DET
fumecheng-12829	99	6	porous	porous	ADJ
fumecheng-12829	99	7	fgm	fgm	PROPN
fumecheng-12829	99	8	follow	follow	VERB
fumecheng-12829	99	9	the	the	DET
fumecheng-12829	99	10	rule	rule	NOUN
fumecheng-12829	99	11	of	of	ADP
fumecheng-12829	99	12	mixtures	mixture	NOUN
fumecheng-12829	99	13	,	,	PUNCT
fumecheng-12829	99	14	where	where	SCONJ
fumecheng-12829	99	15	the	the	DET
fumecheng-12829	99	16	porosities	porosity	NOUN
fumecheng-12829	99	17	are	be	AUX
fumecheng-12829	99	18	distributed	distribute	VERB
fumecheng-12829	99	19	uniformly	uniformly	ADV
fumecheng-12829	99	20	across	across	ADP
fumecheng-12829	99	21	the	the	DET
fumecheng-12829	99	22	thickness	thickness	NOUN
fumecheng-12829	99	23	,	,	PUNCT
fumecheng-12829	99	24	as	as	SCONJ
fumecheng-12829	99	25	described	describe	VERB
fumecheng-12829	99	26	by	by	ADP
fumecheng-12829	99	27	:	:	PUNCT
fumecheng-12829	99	28	(	(	PUNCT
fumecheng-12829	99	29	)	)	PUNCT
fumecheng-12829	99	30	(	(	PUNCT
fumecheng-12829	99	31	)	)	PUNCT
fumecheng-12829	99	32	(	(	PUNCT
fumecheng-12829	99	33	)	)	PUNCT
fumecheng-12829	99	34	1	1	NUM
fumecheng-12829	99	35	2	2	NUM
fumecheng-12829	99	36	2	2	NUM
fumecheng-12829	99	37	c	c	NOUN
fumecheng-12829	99	38	m	m	NOUN
fumecheng-12829	99	39	c	c	NOUN
fumecheng-12829	99	40	m	m	NOUN
fumecheng-12829	99	41	c	c	NOUN
fumecheng-12829	99	42	m	m	NOUN
fumecheng-12829	99	43	z	z	NOUN
fumecheng-12829	99	44	p	p	NOUN
fumecheng-12829	99	45	z	z	PROPN
fumecheng-12829	99	46	p	p	NOUN
fumecheng-12829	99	47	p	p	X
fumecheng-12829	99	48	v	v	ADP
fumecheng-12829	99	49	p	p	NOUN
fumecheng-12829	99	50	p	p	PROPN
fumecheng-12829	99	51	p	p	PROPN
fumecheng-12829	99	52	b	b	PROPN
fumecheng-12829	99	53	h	h	NOUN
fumecheng-12829	99	54			NOUN
fumecheng-12829	99	55			NOUN
fumecheng-12829	99	56			NOUN
fumecheng-12829	99	57	=	=	PUNCT
fumecheng-12829	100	1	−	−	PROPN
fumecheng-12829	101	1	+	+	CCONJ
fumecheng-12829	101	2	−	−	PROPN
fumecheng-12829	102	1	+	+	CCONJ
fumecheng-12829	102	2	−	−	PROPN
fumecheng-12829	102	3			CCONJ
fumecheng-12829	103	1			PROPN
fumecheng-12829	103	2			NOUN
fumecheng-12829	103	3	(	(	PUNCT
fumecheng-12829	103	4	3	3	NUM
fumecheng-12829	103	5	)	)	PUNCT
fumecheng-12829	103	6	where	where	SCONJ
fumecheng-12829	103	7	α	α	PROPN
fumecheng-12829	103	8	(	(	PUNCT
fumecheng-12829	103	9	0≤	0≤	ADJ
fumecheng-12829	103	10	α	α	NOUN
fumecheng-12829	103	11	≤1	≤1	PROPN
fumecheng-12829	103	12	)	)	PUNCT
fumecheng-12829	103	13	represents	represent	VERB
fumecheng-12829	103	14	the	the	DET
fumecheng-12829	103	15	porosity	porosity	NOUN
fumecheng-12829	103	16	volume	volume	NOUN
fumecheng-12829	103	17	fraction	fraction	NOUN
fumecheng-12829	103	18	,	,	PUNCT
fumecheng-12829	103	19	𝑃𝑚	𝑃𝑚	PROPN
fumecheng-12829	103	20	and	and	CCONJ
fumecheng-12829	103	21	𝑃𝑐	𝑃𝑐	PROPN
fumecheng-12829	103	22	denote	denote	VERB
fumecheng-12829	103	23	the	the	DET
fumecheng-12829	103	24	material	material	NOUN
fumecheng-12829	103	25	properties	property	NOUN
fumecheng-12829	103	26	of	of	ADP
fumecheng-12829	103	27	the	the	DET
fumecheng-12829	103	28	metal	metal	NOUN
fumecheng-12829	103	29	and	and	CCONJ
fumecheng-12829	103	30	ceramic	ceramic	NOUN
fumecheng-12829	103	31	respectively	respectively	ADV
fumecheng-12829	103	32	such	such	ADJ
fumecheng-12829	103	33	as	as	ADP
fumecheng-12829	103	34	the	the	DET
fumecheng-12829	103	35	young	young	PROPN
fumecheng-12829	103	36	’s	’s	PART
fumecheng-12829	103	37	modulus	modulus	ADJ
fumecheng-12829	103	38	e	e	NOUN
fumecheng-12829	103	39	,	,	PUNCT
fumecheng-12829	103	40	the	the	DET
fumecheng-12829	103	41	poisson	poisson	NOUN
fumecheng-12829	103	42	’s	’s	PART
fumecheng-12829	103	43	ratio	ratio	NOUN
fumecheng-12829	103	44	υ	υ	PROPN
fumecheng-12829	103	45	and	and	CCONJ
fumecheng-12829	103	46	the	the	DET
fumecheng-12829	103	47	density	density	NOUN
fumecheng-12829	103	48	ρ	ρ	PROPN
fumecheng-12829	103	49	.	.	PUNCT
fumecheng-12829	103	50	further	far	ADV
fumecheng-12829	103	51	,	,	PUNCT
fumecheng-12829	103	52	𝑉𝑚	𝑉𝑚	PROPN
fumecheng-12829	103	53	and	and	CCONJ
fumecheng-12829	103	54	𝑉𝑐	𝑉𝑐	PROPN
fumecheng-12829	103	55	indicate	indicate	VERB
fumecheng-12829	103	56	the	the	DET
fumecheng-12829	103	57	volume	volume	NOUN
fumecheng-12829	103	58	fractions	fraction	NOUN
fumecheng-12829	103	59	of	of	ADP
fumecheng-12829	103	60	metal	metal	NOUN
fumecheng-12829	103	61	and	and	CCONJ
fumecheng-12829	103	62	ceramic	ceramic	NOUN
fumecheng-12829	103	63	respectively	respectively	ADV
fumecheng-12829	103	64	assuming	assume	VERB
fumecheng-12829	103	65	the	the	DET
fumecheng-12829	103	66	condition	condition	NOUN
fumecheng-12829	103	67	of	of	ADP
fumecheng-12829	103	68	𝑉𝑚	𝑉𝑚	PROPN
fumecheng-12829	103	69	+	+	CCONJ
fumecheng-12829	103	70	𝑉𝑐	𝑉𝑐	PROPN
fumecheng-12829	103	71	=	=	NOUN
fumecheng-12829	103	72	1	1	NUM
fumecheng-12829	103	73	and	and	CCONJ
fumecheng-12829	103	74	h	h	NOUN
fumecheng-12829	103	75	denotes	denote	VERB
fumecheng-12829	103	76	the	the	DET
fumecheng-12829	103	77	structure	structure	NOUN
fumecheng-12829	103	78	’s	’s	PART
fumecheng-12829	103	79	thickness	thickness	NOUN
fumecheng-12829	103	80	.	.	PUNCT
fumecheng-12829	104	1	832	832	NUM
fumecheng-12829	104	2	h.	h.	PROPN
fumecheng-12829	104	3	mallek	mallek	PROPN
fumecheng-12829	104	4	,	,	PUNCT
fumecheng-12829	104	5	h.	h.	PROPN
fumecheng-12829	104	6	mellouli	mellouli	PROPN
fumecheng-12829	104	7	,	,	PUNCT
fumecheng-12829	104	8	l.	l.	PROPN
fumecheng-12829	104	9	ben	ben	PROPN
fumecheng-12829	104	10	said	say	VERB
fumecheng-12829	104	11	,	,	PUNCT
fumecheng-12829	104	12	m.	m.	PROPN
fumecheng-12829	104	13	wali	wali	PROPN
fumecheng-12829	104	14	,	,	PUNCT
fumecheng-12829	104	15	f.	f.	PROPN
fumecheng-12829	104	16	dammak	dammak	PROPN
fumecheng-12829	104	17	,	,	PUNCT
fumecheng-12829	104	18	m.	m.	NOUN
fumecheng-12829	104	19	alhadri	alhadri	PROPN
fumecheng-12829	104	20	fig	fig	NOUN
fumecheng-12829	104	21	.	.	PUNCT
fumecheng-12829	105	1	2	2	NUM
fumecheng-12829	105	2	fgm	fgm	PROPN
fumecheng-12829	105	3	homogenization	homogenization	NOUN
fumecheng-12829	105	4	scheme	scheme	NOUN
fumecheng-12829	105	5	when	when	SCONJ
fumecheng-12829	105	6	α	α	PROPN
fumecheng-12829	105	7	is	be	AUX
fumecheng-12829	105	8	zero	zero	NUM
fumecheng-12829	105	9	,	,	PUNCT
fumecheng-12829	105	10	it	it	PRON
fumecheng-12829	105	11	indicates	indicate	VERB
fumecheng-12829	105	12	that	that	SCONJ
fumecheng-12829	105	13	the	the	DET
fumecheng-12829	105	14	fgm	fgm	PROPN
fumecheng-12829	105	15	is	be	AUX
fumecheng-12829	105	16	completely	completely	ADV
fumecheng-12829	105	17	dense	dense	ADJ
fumecheng-12829	105	18	without	without	ADP
fumecheng-12829	105	19	any	any	DET
fumecheng-12829	105	20	voids	voids	NOUN
fumecheng-12829	105	21	or	or	CCONJ
fumecheng-12829	105	22	pores	pore	NOUN
fumecheng-12829	105	23	.	.	PUNCT
fumecheng-12829	106	1	increasing	increase	VERB
fumecheng-12829	106	2	this	this	DET
fumecheng-12829	106	3	factor	factor	NOUN
fumecheng-12829	106	4	results	result	VERB
fumecheng-12829	106	5	in	in	ADP
fumecheng-12829	106	6	more	more	ADJ
fumecheng-12829	106	7	voids	voids	NOUN
fumecheng-12829	106	8	along	along	ADP
fumecheng-12829	106	9	the	the	DET
fumecheng-12829	106	10	fgm	fgm	PROPN
fumecheng-12829	106	11	’s	’s	PART
fumecheng-12829	106	12	volume	volume	NOUN
fumecheng-12829	106	13	.	.	PUNCT
fumecheng-12829	107	1	secondly	secondly	ADV
fumecheng-12829	107	2	,	,	PUNCT
fumecheng-12829	107	3	the	the	DET
fumecheng-12829	107	4	factor	factor	NOUN
fumecheng-12829	107	5	b	b	NOUN
fumecheng-12829	107	6	represents	represent	VERB
fumecheng-12829	107	7	the	the	DET
fumecheng-12829	107	8	uneven	uneven	ADJ
fumecheng-12829	107	9	parameter	parameter	NOUN
fumecheng-12829	107	10	.	.	PUNCT
fumecheng-12829	108	1	setting	set	VERB
fumecheng-12829	108	2	b	b	NOUN
fumecheng-12829	108	3	to	to	ADP
fumecheng-12829	108	4	zero	zero	NUM
fumecheng-12829	108	5	means	mean	VERB
fumecheng-12829	108	6	that	that	SCONJ
fumecheng-12829	108	7	the	the	DET
fumecheng-12829	108	8	porosity	porosity	NOUN
fumecheng-12829	108	9	is	be	AUX
fumecheng-12829	108	10	evenly	evenly	ADV
fumecheng-12829	108	11	distributed	distribute	VERB
fumecheng-12829	108	12	throughout	throughout	ADP
fumecheng-12829	108	13	the	the	DET
fumecheng-12829	108	14	material	material	NOUN
fumecheng-12829	108	15	.	.	PUNCT
fumecheng-12829	109	1	conversely	conversely	ADV
fumecheng-12829	109	2	,	,	PUNCT
fumecheng-12829	109	3	setting	set	VERB
fumecheng-12829	109	4	b	b	NOUN
fumecheng-12829	109	5	to	to	ADP
fumecheng-12829	109	6	unity	unity	NOUN
fumecheng-12829	109	7	indicates	indicate	VERB
fumecheng-12829	109	8	an	an	DET
fumecheng-12829	109	9	uneven	uneven	ADJ
fumecheng-12829	109	10	distribution	distribution	NOUN
fumecheng-12829	109	11	of	of	ADP
fumecheng-12829	109	12	porosity	porosity	NOUN
fumecheng-12829	109	13	within	within	ADP
fumecheng-12829	109	14	the	the	DET
fumecheng-12829	109	15	fgm	fgm	PROPN
fumecheng-12829	109	16	(	(	PUNCT
fumecheng-12829	109	17	fig	fig	NOUN
fumecheng-12829	109	18	.	.	PUNCT
fumecheng-12829	109	19	2	2	NUM
fumecheng-12829	109	20	)	)	PUNCT
fumecheng-12829	109	21	.	.	PUNCT
fumecheng-12829	110	1	not	not	PART
fumecheng-12829	110	2	forgetting	forget	VERB
fumecheng-12829	110	3	the	the	DET
fumecheng-12829	110	4	power	power	NOUN
fumecheng-12829	110	5	law	law	NOUN
fumecheng-12829	110	6	index	index	NOUN
fumecheng-12829	110	7	n	n	PROPN
fumecheng-12829	110	8	of	of	ADP
fumecheng-12829	110	9	the	the	DET
fumecheng-12829	110	10	fgm	fgm	PROPN
fumecheng-12829	110	11	that	that	PRON
fumecheng-12829	110	12	determines	determine	VERB
fumecheng-12829	110	13	the	the	DET
fumecheng-12829	110	14	rate	rate	NOUN
fumecheng-12829	110	15	at	at	ADP
fumecheng-12829	110	16	which	which	PRON
fumecheng-12829	110	17	the	the	DET
fumecheng-12829	110	18	material	material	NOUN
fumecheng-12829	110	19	composition	composition	NOUN
fumecheng-12829	110	20	and	and	CCONJ
fumecheng-12829	110	21	properties	property	NOUN
fumecheng-12829	110	22	change	change	VERB
fumecheng-12829	110	23	along	along	ADP
fumecheng-12829	110	24	the	the	DET
fumecheng-12829	110	25	material	material	NOUN
fumecheng-12829	110	26	's	's	PART
fumecheng-12829	110	27	gradient	gradient	NOUN
fumecheng-12829	110	28	.	.	PUNCT
fumecheng-12829	111	1	in	in	ADP
fumecheng-12829	111	2	fact	fact	NOUN
fumecheng-12829	111	3	,	,	PUNCT
fumecheng-12829	111	4	the	the	DET
fumecheng-12829	111	5	volume	volume	NOUN
fumecheng-12829	111	6	fraction	fraction	NOUN
fumecheng-12829	111	7	of	of	ADP
fumecheng-12829	111	8	the	the	DET
fumecheng-12829	111	9	ceramic	ceramic	ADJ
fumecheng-12829	111	10	phase	phase	NOUN
fumecheng-12829	111	11	varies	vary	VERB
fumecheng-12829	111	12	along	along	ADP
fumecheng-12829	111	13	the	the	DET
fumecheng-12829	111	14	structure	structure	NOUN
fumecheng-12829	111	15	's	's	PART
fumecheng-12829	111	16	thickness	thickness	NOUN
fumecheng-12829	111	17	,	,	PUNCT
fumecheng-12829	111	18	denoted	denote	VERB
fumecheng-12829	111	19	as	as	ADP
fumecheng-12829	111	20	:	:	PUNCT
fumecheng-12829	111	21			ADJ
fumecheng-12829	111	22			ADP
fumecheng-12829	111	23	1	1	NUM
fumecheng-12829	111	24	(	(	PUNCT
fumecheng-12829	111	25	)	)	PUNCT
fumecheng-12829	111	26	;	;	PUNCT
fumecheng-12829	111	27	/	/	SYM
fumecheng-12829	111	28	2	2	NUM
fumecheng-12829	111	29	,	,	PUNCT
fumecheng-12829	111	30	/	/	SYM
fumecheng-12829	111	31	2	2	NUM
fumecheng-12829	111	32	2	2	NUM
fumecheng-12829	111	33	n	n	ADP
fumecheng-12829	111	34	c	c	NOUN
fumecheng-12829	111	35	z	z	NOUN
fumecheng-12829	111	36	v	v	PROPN
fumecheng-12829	111	37	z	z	NOUN
fumecheng-12829	111	38	z	z	NOUN
fumecheng-12829	111	39	h	h	NOUN
fumecheng-12829	112	1	h	h	NOUN
fumecheng-12829	113	1	h	h	PROPN
fumecheng-12829	113	2			NOUN
fumecheng-12829	113	3			NOUN
fumecheng-12829	113	4	=	=	PUNCT
fumecheng-12829	114	1	+	+	NUM
fumecheng-12829	114	2			NOUN
fumecheng-12829	114	3	−	−	PROPN
fumecheng-12829	114	4			PROPN
fumecheng-12829	114	5			PROPN
fumecheng-12829	114	6			NOUN
fumecheng-12829	114	7	(	(	PUNCT
fumecheng-12829	114	8	4	4	NUM
fumecheng-12829	114	9	)	)	PUNCT
fumecheng-12829	114	10	as	as	ADP
fumecheng-12829	114	11	the	the	DET
fumecheng-12829	114	12	power	power	NOUN
fumecheng-12829	114	13	law	law	NOUN
fumecheng-12829	114	14	index	index	NOUN
fumecheng-12829	114	15	n	n	NOUN
fumecheng-12829	114	16	increases	increase	NOUN
fumecheng-12829	114	17	,	,	PUNCT
fumecheng-12829	114	18	the	the	DET
fumecheng-12829	114	19	fgm	fgm	PROPN
fumecheng-12829	114	20	structure	structure	NOUN
fumecheng-12829	114	21	becomes	become	VERB
fumecheng-12829	114	22	richer	rich	ADJ
fumecheng-12829	114	23	in	in	ADP
fumecheng-12829	114	24	metal	metal	NOUN
fumecheng-12829	114	25	phase	phase	NOUN
fumecheng-12829	114	26	,	,	PUNCT
fumecheng-12829	114	27	while	while	SCONJ
fumecheng-12829	114	28	lower	low	ADJ
fumecheng-12829	114	29	values	value	NOUN
fumecheng-12829	114	30	of	of	ADP
fumecheng-12829	114	31	n	n	X
fumecheng-12829	114	32	result	result	VERB
fumecheng-12829	114	33	in	in	ADP
fumecheng-12829	114	34	a	a	DET
fumecheng-12829	114	35	structure	structure	NOUN
fumecheng-12829	114	36	that	that	PRON
fumecheng-12829	114	37	is	be	AUX
fumecheng-12829	114	38	predominantly	predominantly	ADV
fumecheng-12829	114	39	ceramic	ceramic	ADJ
fumecheng-12829	114	40	.	.	PUNCT
fumecheng-12829	115	1	when	when	SCONJ
fumecheng-12829	115	2	n	n	PRON
fumecheng-12829	115	3	is	be	AUX
fumecheng-12829	115	4	set	set	VERB
fumecheng-12829	115	5	to	to	ADP
fumecheng-12829	115	6	zero	zero	NUM
fumecheng-12829	115	7	,	,	PUNCT
fumecheng-12829	115	8	the	the	DET
fumecheng-12829	115	9	structure	structure	NOUN
fumecheng-12829	115	10	is	be	AUX
fumecheng-12829	115	11	entirely	entirely	ADV
fumecheng-12829	115	12	ceramic	ceramic	ADJ
fumecheng-12829	115	13	,	,	PUNCT
fumecheng-12829	115	14	and	and	CCONJ
fumecheng-12829	115	15	as	as	ADP
fumecheng-12829	115	16	n	n	PRON
fumecheng-12829	115	17	increases	increase	NOUN
fumecheng-12829	115	18	,	,	PUNCT
fumecheng-12829	115	19	the	the	DET
fumecheng-12829	115	20	structure	structure	NOUN
fumecheng-12829	115	21	shifts	shift	NOUN
fumecheng-12829	115	22	towards	towards	ADP
fumecheng-12829	115	23	a	a	DET
fumecheng-12829	115	24	higher	high	ADJ
fumecheng-12829	115	25	metal	metal	NOUN
fumecheng-12829	115	26	content	content	NOUN
fumecheng-12829	115	27	.	.	PUNCT
fumecheng-12829	116	1	2.1.2	2.1.2	X
fumecheng-12829	116	2	.	.	X
fumecheng-12829	116	3	imperfect	imperfect	ADJ
fumecheng-12829	116	4	fgm	fgm	PROPN
fumecheng-12829	116	5	material	material	NOUN
fumecheng-12829	116	6	properties	property	NOUN
fumecheng-12829	116	7	porosities	porosity	NOUN
fumecheng-12829	116	8	arise	arise	VERB
fumecheng-12829	116	9	as	as	ADP
fumecheng-12829	116	10	a	a	DET
fumecheng-12829	116	11	consequence	consequence	NOUN
fumecheng-12829	116	12	of	of	ADP
fumecheng-12829	116	13	the	the	DET
fumecheng-12829	116	14	manufacturing	manufacturing	NOUN
fumecheng-12829	116	15	process	process	NOUN
fumecheng-12829	116	16	,	,	PUNCT
fumecheng-12829	116	17	manifesting	manifest	VERB
fumecheng-12829	116	18	as	as	ADP
fumecheng-12829	116	19	defects	defect	NOUN
fumecheng-12829	116	20	within	within	ADP
fumecheng-12829	116	21	the	the	DET
fumecheng-12829	116	22	microstructure	microstructure	NOUN
fumecheng-12829	116	23	.	.	PUNCT
fumecheng-12829	117	1	it	it	PRON
fumecheng-12829	117	2	is	be	AUX
fumecheng-12829	117	3	imperative	imperative	ADJ
fumecheng-12829	117	4	to	to	PART
fumecheng-12829	117	5	account	account	VERB
fumecheng-12829	117	6	for	for	ADP
fumecheng-12829	117	7	these	these	DET
fumecheng-12829	117	8	porosities	porosity	NOUN
fumecheng-12829	117	9	when	when	SCONJ
fumecheng-12829	117	10	studying	study	VERB
fumecheng-12829	117	11	the	the	DET
fumecheng-12829	117	12	mechanical	mechanical	ADJ
fumecheng-12829	117	13	behavior	behavior	NOUN
fumecheng-12829	117	14	of	of	ADP
fumecheng-12829	117	15	fgms	fgms	PROPN
fumecheng-12829	117	16	.	.	PUNCT
fumecheng-12829	118	1	in	in	ADP
fumecheng-12829	118	2	this	this	DET
fumecheng-12829	118	3	study	study	NOUN
fumecheng-12829	118	4	,	,	PUNCT
fumecheng-12829	118	5	two	two	NUM
fumecheng-12829	118	6	distinct	distinct	ADJ
fumecheng-12829	118	7	porosity	porosity	NOUN
fumecheng-12829	118	8	distributions	distribution	NOUN
fumecheng-12829	118	9	along	along	ADP
fumecheng-12829	118	10	the	the	DET
fumecheng-12829	118	11	thickness	thickness	NOUN
fumecheng-12829	118	12	direction	direction	NOUN
fumecheng-12829	118	13	are	be	AUX
fumecheng-12829	118	14	examined	examine	VERB
fumecheng-12829	118	15	:	:	PUNCT
fumecheng-12829	118	16	even	even	ADV
fumecheng-12829	118	17	and	and	CCONJ
fumecheng-12829	118	18	uneven	uneven	ADJ
fumecheng-12829	118	19	,	,	PUNCT
fumecheng-12829	118	20	as	as	SCONJ
fumecheng-12829	118	21	depicted	depict	VERB
fumecheng-12829	118	22	in	in	ADP
fumecheng-12829	118	23	fig	fig	NOUN
fumecheng-12829	118	24	.	.	PUNCT
fumecheng-12829	119	1	1	1	X
fumecheng-12829	119	2	.	.	X
fumecheng-12829	120	1	in	in	ADP
fumecheng-12829	120	2	contrast	contrast	NOUN
fumecheng-12829	120	3	to	to	ADP
fumecheng-12829	120	4	the	the	DET
fumecheng-12829	120	5	even	even	ADJ
fumecheng-12829	120	6	distribution	distribution	NOUN
fumecheng-12829	120	7	of	of	ADP
fumecheng-12829	120	8	porosity	porosity	NOUN
fumecheng-12829	120	9	,	,	PUNCT
fumecheng-12829	120	10	where	where	SCONJ
fumecheng-12829	120	11	the	the	DET
fumecheng-12829	120	12	distribution	distribution	NOUN
fumecheng-12829	120	13	is	be	AUX
fumecheng-12829	120	14	uniform	uniform	ADJ
fumecheng-12829	120	15	across	across	ADP
fumecheng-12829	120	16	the	the	DET
fumecheng-12829	120	17	thickness	thickness	NOUN
fumecheng-12829	120	18	,	,	PUNCT
fumecheng-12829	120	19	the	the	DET
fumecheng-12829	120	20	uneven	uneven	ADJ
fumecheng-12829	120	21	distribution	distribution	NOUN
fumecheng-12829	120	22	reveals	reveal	VERB
fumecheng-12829	120	23	a	a	DET
fumecheng-12829	120	24	concentration	concentration	NOUN
fumecheng-12829	120	25	of	of	ADP
fumecheng-12829	120	26	porosities	porosity	NOUN
fumecheng-12829	120	27	primarily	primarily	ADV
fumecheng-12829	120	28	within	within	ADP
fumecheng-12829	120	29	the	the	DET
fumecheng-12829	120	30	middle	middle	ADJ
fumecheng-12829	120	31	zone	zone	NOUN
fumecheng-12829	120	32	.	.	PUNCT
fumecheng-12829	121	1	fig	fig	NOUN
fumecheng-12829	121	2	.	.	PUNCT
fumecheng-12829	122	1	3	3	NUM
fumecheng-12829	122	2	illustrates	illustrate	VERB
fumecheng-12829	122	3	the	the	DET
fumecheng-12829	122	4	evaluation	evaluation	NOUN
fumecheng-12829	122	5	of	of	ADP
fumecheng-12829	122	6	effective	effective	ADJ
fumecheng-12829	122	7	fgp	fgp	ADJ
fumecheng-12829	122	8	material	material	NOUN
fumecheng-12829	122	9	properties	property	NOUN
fumecheng-12829	122	10	along	along	ADP
fumecheng-12829	122	11	the	the	DET
fumecheng-12829	122	12	thickness	thickness	NOUN
fumecheng-12829	122	13	,	,	PUNCT
fumecheng-12829	122	14	considering	consider	VERB
fumecheng-12829	122	15	both	both	CCONJ
fumecheng-12829	122	16	even	even	ADV
fumecheng-12829	122	17	and	and	CCONJ
fumecheng-12829	122	18	uneven	uneven	ADJ
fumecheng-12829	122	19	distributions	distribution	NOUN
fumecheng-12829	122	20	of	of	ADP
fumecheng-12829	122	21	porosities	porosity	NOUN
fumecheng-12829	122	22	.	.	PUNCT
fumecheng-12829	123	1	the	the	DET
fumecheng-12829	123	2	exponent	exponent	NOUN
fumecheng-12829	123	3	n	n	PRON
fumecheng-12829	123	4	represents	represent	VERB
fumecheng-12829	123	5	the	the	DET
fumecheng-12829	123	6	material	material	NOUN
fumecheng-12829	123	7	power	power	NOUN
fumecheng-12829	123	8	-	-	PUNCT
fumecheng-12829	123	9	law	law	NOUN
fumecheng-12829	123	10	index	index	NOUN
fumecheng-12829	123	11	describing	describe	VERB
fumecheng-12829	123	12	the	the	DET
fumecheng-12829	123	13	material	material	NOUN
fumecheng-12829	123	14	profile	profile	NOUN
fumecheng-12829	123	15	gradation	gradation	NOUN
fumecheng-12829	123	16	.	.	PUNCT
fumecheng-12829	124	1	when	when	SCONJ
fumecheng-12829	124	2	n	n	PRON
fumecheng-12829	124	3	is	be	AUX
fumecheng-12829	124	4	set	set	VERB
fumecheng-12829	124	5	to	to	ADP
fumecheng-12829	124	6	zero	zero	NUM
fumecheng-12829	124	7	,	,	PUNCT
fumecheng-12829	124	8	a	a	DET
fumecheng-12829	124	9	single	single	ADJ
fumecheng-12829	124	10	-	-	PUNCT
fumecheng-12829	124	11	phase	phase	NOUN
fumecheng-12829	124	12	ceramic	ceramic	ADJ
fumecheng-12829	124	13	material	material	NOUN
fumecheng-12829	124	14	is	be	AUX
fumecheng-12829	124	15	obtained	obtain	VERB
fumecheng-12829	124	16	.	.	PUNCT
fumecheng-12829	125	1	the	the	DET
fumecheng-12829	125	2	porosity	porosity	NOUN
fumecheng-12829	125	3	volume	volume	NOUN
fumecheng-12829	125	4	fraction	fraction	NOUN
fumecheng-12829	125	5	α	α	PROPN
fumecheng-12829	125	6	varies	vary	VERB
fumecheng-12829	125	7	from	from	ADP
fumecheng-12829	125	8	zero	zero	NUM
fumecheng-12829	125	9	to	to	ADP
fumecheng-12829	125	10	1	1	NUM
fumecheng-12829	125	11	,	,	PUNCT
fumecheng-12829	125	12	setting	set	VERB
fumecheng-12829	125	13	α	α	NOUN
fumecheng-12829	125	14	to	to	ADP
fumecheng-12829	125	15	zero	zero	NUM
fumecheng-12829	125	16	implies	imply	VERB
fumecheng-12829	125	17	a	a	DET
fumecheng-12829	125	18	perfect	perfect	ADJ
fumecheng-12829	125	19	fgm	fgm	PROPN
fumecheng-12829	125	20	shell	shell	NOUN
fumecheng-12829	125	21	,	,	PUNCT
fumecheng-12829	125	22	while	while	SCONJ
fumecheng-12829	125	23	increasing	increase	VERB
fumecheng-12829	125	24	introduces	introduce	NOUN
fumecheng-12829	125	25	porosity	porosity	NOUN
fumecheng-12829	125	26	and	and	CCONJ
fumecheng-12829	125	27	micro	micro	NOUN
fumecheng-12829	125	28	-	-	NOUN
fumecheng-12829	125	29	voids	voids	NOUN
fumecheng-12829	125	30	,	,	PUNCT
fumecheng-12829	125	31	rendering	render	VERB
fumecheng-12829	125	32	the	the	DET
fumecheng-12829	125	33	fgm	fgm	PROPN
fumecheng-12829	125	34	imperfect	imperfect	NOUN
fumecheng-12829	125	35	.	.	PUNCT
fumecheng-12829	126	1	further	far	ADV
fumecheng-12829	126	2	,	,	PUNCT
fumecheng-12829	126	3	b	b	X
fumecheng-12829	126	4	represents	represent	VERB
fumecheng-12829	126	5	the	the	DET
fumecheng-12829	126	6	uneven	uneven	ADJ
fumecheng-12829	126	7	parameter	parameter	NOUN
fumecheng-12829	126	8	.	.	PUNCT
fumecheng-12829	127	1	when	when	SCONJ
fumecheng-12829	127	2	it	it	PRON
fumecheng-12829	127	3	is	be	AUX
fumecheng-12829	127	4	set	set	VERB
fumecheng-12829	127	5	to	to	ADP
fumecheng-12829	127	6	zero	zero	NUM
fumecheng-12829	127	7	,	,	PUNCT
fumecheng-12829	127	8	an	an	DET
fumecheng-12829	127	9	evenly	evenly	ADV
fumecheng-12829	127	10	distributed	distribute	VERB
fumecheng-12829	127	11	porosity	porosity	NOUN
fumecheng-12829	127	12	is	be	AUX
fumecheng-12829	127	13	achieved	achieve	VERB
fumecheng-12829	127	14	,	,	PUNCT
fumecheng-12829	127	15	whereas	whereas	SCONJ
fumecheng-12829	127	16	setting	set	VERB
fumecheng-12829	127	17	it	it	PRON
fumecheng-12829	127	18	to	to	ADP
fumecheng-12829	127	19	unity	unity	NOUN
fumecheng-12829	127	20	indicates	indicate	VERB
fumecheng-12829	127	21	an	an	DET
fumecheng-12829	127	22	uneven	uneven	ADJ
fumecheng-12829	127	23	porosity	porosity	NOUN
fumecheng-12829	127	24	distribution	distribution	NOUN
fumecheng-12829	127	25	.	.	PUNCT
fumecheng-12829	128	1	porosity	porosity	NOUN
fumecheng-12829	128	2	effects	effect	NOUN
fumecheng-12829	128	3	on	on	ADP
fumecheng-12829	128	4	nonlinear	nonlinear	ADJ
fumecheng-12829	128	5	static	static	ADJ
fumecheng-12829	128	6	performances	performance	NOUN
fumecheng-12829	128	7	of	of	ADP
fumecheng-12829	128	8	fg	fg	PROPN
fumecheng-12829	128	9	shells	shell	NOUN
fumecheng-12829	128	10	considering	consider	VERB
fumecheng-12829	128	11	thickness	thickness	NOUN
fumecheng-12829	128	12	stretching	stretch	VERB
fumecheng-12829	128	13	833	833	NUM
fumecheng-12829	128	14	it	it	PRON
fumecheng-12829	128	15	is	be	AUX
fumecheng-12829	128	16	important	important	ADJ
fumecheng-12829	128	17	to	to	PART
fumecheng-12829	128	18	acknowledge	acknowledge	VERB
fumecheng-12829	128	19	that	that	SCONJ
fumecheng-12829	128	20	the	the	DET
fumecheng-12829	128	21	variations	variation	NOUN
fumecheng-12829	128	22	of	of	ADP
fumecheng-12829	128	23	porous	porous	ADJ
fumecheng-12829	128	24	fg	fg	PROPN
fumecheng-12829	128	25	material	material	NOUN
fumecheng-12829	128	26	properties	property	NOUN
fumecheng-12829	128	27	along	along	ADP
fumecheng-12829	128	28	the	the	DET
fumecheng-12829	128	29	thickness	thickness	NOUN
fumecheng-12829	128	30	direction	direction	NOUN
fumecheng-12829	128	31	are	be	AUX
fumecheng-12829	128	32	asymmetric	asymmetric	ADJ
fumecheng-12829	128	33	.	.	PUNCT
fumecheng-12829	129	1	in	in	ADP
fumecheng-12829	129	2	mixed	mixed	ADJ
fumecheng-12829	129	3	finite	finite	ADJ
fumecheng-12829	129	4	element	element	NOUN
fumecheng-12829	129	5	formulations	formulation	NOUN
fumecheng-12829	129	6	,	,	PUNCT
fumecheng-12829	129	7	this	this	DET
fumecheng-12829	129	8	asymmetry	asymmetry	NOUN
fumecheng-12829	129	9	can	can	AUX
fumecheng-12829	129	10	pose	pose	VERB
fumecheng-12829	129	11	challenges	challenge	NOUN
fumecheng-12829	129	12	during	during	ADP
fumecheng-12829	129	13	simulation	simulation	NOUN
fumecheng-12829	129	14	due	due	ADP
fumecheng-12829	129	15	to	to	ADP
fumecheng-12829	129	16	the	the	DET
fumecheng-12829	129	17	coupled	couple	VERB
fumecheng-12829	129	18	nature	nature	NOUN
fumecheng-12829	129	19	of	of	ADP
fumecheng-12829	129	20	bending	bending	NOUN
fumecheng-12829	129	21	and	and	CCONJ
fumecheng-12829	129	22	membrane	membrane	NOUN
fumecheng-12829	129	23	effects	effect	NOUN
fumecheng-12829	129	24	.	.	PUNCT
fumecheng-12829	130	1	to	to	PART
fumecheng-12829	130	2	address	address	VERB
fumecheng-12829	130	3	this	this	DET
fumecheng-12829	130	4	issue	issue	NOUN
fumecheng-12829	130	5	,	,	PUNCT
fumecheng-12829	130	6	the	the	DET
fumecheng-12829	130	7	concept	concept	NOUN
fumecheng-12829	130	8	of	of	ADP
fumecheng-12829	130	9	a	a	DET
fumecheng-12829	130	10	neutral	neutral	ADJ
fumecheng-12829	130	11	surface	surface	NOUN
fumecheng-12829	130	12	can	can	AUX
fumecheng-12829	130	13	be	be	AUX
fumecheng-12829	130	14	employed	employ	VERB
fumecheng-12829	130	15	.	.	PUNCT
fumecheng-12829	131	1	all	all	DET
fumecheng-12829	131	2	effective	effective	ADJ
fumecheng-12829	131	3	quantities	quantity	NOUN
fumecheng-12829	131	4	are	be	AUX
fumecheng-12829	131	5	then	then	ADV
fumecheng-12829	131	6	evaluated	evaluate	VERB
fumecheng-12829	131	7	relative	relative	ADJ
fumecheng-12829	131	8	to	to	ADP
fumecheng-12829	131	9	this	this	DET
fumecheng-12829	131	10	neutral	neutral	ADJ
fumecheng-12829	131	11	surface	surface	NOUN
fumecheng-12829	131	12	.	.	PUNCT
fumecheng-12829	132	1	the	the	DET
fumecheng-12829	132	2	analytical	analytical	ADJ
fumecheng-12829	132	3	expression	expression	NOUN
fumecheng-12829	132	4	for	for	ADP
fumecheng-12829	132	5	the	the	DET
fumecheng-12829	132	6	offset	offset	NOUN
fumecheng-12829	132	7	of	of	ADP
fumecheng-12829	132	8	the	the	DET
fumecheng-12829	132	9	neutral	neutral	ADJ
fumecheng-12829	132	10	surface	surface	NOUN
fumecheng-12829	132	11	from	from	ADP
fumecheng-12829	132	12	the	the	DET
fumecheng-12829	132	13	discretized	discretized	ADJ
fumecheng-12829	132	14	mid	mid	NOUN
fumecheng-12829	132	15	-	-	NOUN
fumecheng-12829	132	16	plane	plane	NOUN
fumecheng-12829	132	17	is	be	AUX
fumecheng-12829	132	18	given	give	VERB
fumecheng-12829	132	19	as	as	SCONJ
fumecheng-12829	132	20	follows	follow	VERB
fumecheng-12829	132	21	[	[	X
fumecheng-12829	132	22	26	26	NUM
fumecheng-12829	132	23	]	]	X
fumecheng-12829	132	24	:	:	PUNCT
fumecheng-12829	132	25	(	(	PUNCT
fumecheng-12829	132	26	1	1	X
fumecheng-12829	132	27	)	)	PUNCT
fumecheng-12829	132	28	(	(	PUNCT
fumecheng-12829	132	29	1	1	NUM
fumecheng-12829	132	30	)	)	PUNCT
fumecheng-12829	132	31	/	/	PUNCT
fumecheng-12829	132	32	;	;	PUNCT
fumecheng-12829	132	33	(	(	PUNCT
fumecheng-12829	132	34	1	1	X
fumecheng-12829	132	35	)	)	PUNCT
fumecheng-12829	132	36	(	(	PUNCT
fumecheng-12829	132	37	2)(2	2)(2	NUM
fumecheng-12829	132	38	(	(	PUNCT
fumecheng-12829	132	39	)	)	PUNCT
fumecheng-12829	132	40	(	(	PUNCT
fumecheng-12829	132	41	1	1	X
fumecheng-12829	132	42	)	)	PUNCT
fumecheng-12829	132	43	(	(	PUNCT
fumecheng-12829	132	44	1)(1	1)(1	NUM
fumecheng-12829	132	45	0.5	0.5	NUM
fumecheng-12829	132	46	)	)	PUNCT
fumecheng-12829	132	47	)	)	PUNCT
fumecheng-12829	133	1	c	c	X
fumecheng-12829	133	2	m	m	VERB
fumecheng-12829	133	3	en	en	PROPN
fumecheng-12829	133	4	k	k	PROPN
fumecheng-12829	133	5	n	n	PROPN
fumecheng-12829	133	6	z	z	NOUN
fumecheng-12829	133	7	h	h	NOUN
fumecheng-12829	134	1	k	k	PROPN
fumecheng-12829	134	2	n	n	PROPN
fumecheng-12829	134	3	n	n	CCONJ
fumecheng-12829	134	4	n	n	ADV
fumecheng-12829	134	5	k	k	PROPN
fumecheng-12829	135	1	k	k	PROPN
fumecheng-12829	136	1	n	n	PROPN
fumecheng-12829	136	2	b	b	PROPN
fumecheng-12829	136	3	e	e	ADP
fumecheng-12829	136	4	−	−	PROPN
fumecheng-12829	137	1	+	+	CCONJ
fumecheng-12829	137	2	=	=	SYM
fumecheng-12829	137	3	=	=	PUNCT
fumecheng-12829	138	1	+	+	PUNCT
fumecheng-12829	138	2	+	+	CCONJ
fumecheng-12829	138	3	+	+	CCONJ
fumecheng-12829	138	4	−	−	X
fumecheng-12829	139	1	+	+	CCONJ
fumecheng-12829	139	2	+	+	NUM
fumecheng-12829	139	3	−	−	PROPN
fumecheng-12829	139	4	(	(	PUNCT
fumecheng-12829	139	5	5	5	NUM
fumecheng-12829	139	6	)	)	PUNCT
fumecheng-12829	139	7	the	the	DET
fumecheng-12829	139	8	distribution	distribution	NOUN
fumecheng-12829	139	9	of	of	ADP
fumecheng-12829	139	10	the	the	DET
fumecheng-12829	139	11	offset	offset	NOUN
fumecheng-12829	139	12	𝑧̅/ℎ	𝑧̅/ℎ	NOUN
fumecheng-12829	139	13	along	along	ADP
fumecheng-12829	139	14	with	with	ADP
fumecheng-12829	139	15	the	the	DET
fumecheng-12829	139	16	variation	variation	NOUN
fumecheng-12829	139	17	of	of	ADP
fumecheng-12829	139	18	the	the	DET
fumecheng-12829	139	19	material	material	NOUN
fumecheng-12829	139	20	exponent	exponent	NOUN
fumecheng-12829	139	21	n	n	PROPN
fumecheng-12829	139	22	and	and	CCONJ
fumecheng-12829	139	23	the	the	DET
fumecheng-12829	139	24	porosity	porosity	NOUN
fumecheng-12829	139	25	volume	volume	NOUN
fumecheng-12829	139	26	fraction	fraction	NOUN
fumecheng-12829	139	27	α	α	PROPN
fumecheng-12829	139	28	is	be	AUX
fumecheng-12829	139	29	plotted	plot	VERB
fumecheng-12829	139	30	in	in	ADP
fumecheng-12829	139	31	fig	fig	NOUN
fumecheng-12829	139	32	.	.	PUNCT
fumecheng-12829	140	1	3	3	X
fumecheng-12829	140	2	.	.	X
fumecheng-12829	140	3	a	a	DET
fumecheng-12829	140	4	)	)	PUNCT
fumecheng-12829	140	5	b	b	NOUN
fumecheng-12829	140	6	)	)	PUNCT
fumecheng-12829	140	7	fig	fig	NOUN
fumecheng-12829	140	8	.	.	PUNCT
fumecheng-12829	141	1	3	3	NUM
fumecheng-12829	141	2	variation	variation	NOUN
fumecheng-12829	141	3	of	of	ADP
fumecheng-12829	141	4	the	the	DET
fumecheng-12829	141	5	offset	offset	NOUN
fumecheng-12829	141	6	𝑧̅/ℎ	𝑧̅/ℎ	NOUN
fumecheng-12829	141	7	versus	versus	ADP
fumecheng-12829	141	8	different	different	ADJ
fumecheng-12829	141	9	values	value	NOUN
fumecheng-12829	141	10	of	of	ADP
fumecheng-12829	141	11	the	the	DET
fumecheng-12829	141	12	material	material	NOUN
fumecheng-12829	141	13	exponent	exponent	NOUN
fumecheng-12829	141	14	n	n	NOUN
fumecheng-12829	141	15	and	and	CCONJ
fumecheng-12829	141	16	porosity	porosity	NOUN
fumecheng-12829	141	17	volume	volume	NOUN
fumecheng-12829	141	18	fraction	fraction	NOUN
fumecheng-12829	141	19	α	α	NOUN
fumecheng-12829	141	20	for	for	ADP
fumecheng-12829	141	21	the	the	DET
fumecheng-12829	141	22	(	(	PUNCT
fumecheng-12829	141	23	a	a	NOUN
fumecheng-12829	141	24	)	)	PUNCT
fumecheng-12829	141	25	even	even	ADV
fumecheng-12829	141	26	;	;	PUNCT
fumecheng-12829	141	27	(	(	PUNCT
fumecheng-12829	141	28	b	b	X
fumecheng-12829	141	29	)	)	PUNCT
fumecheng-12829	141	30	uneven	uneven	ADJ
fumecheng-12829	141	31	configuration	configuration	NOUN
fumecheng-12829	141	32	834	834	NUM
fumecheng-12829	141	33	h.	h.	NOUN
fumecheng-12829	141	34	mallek	mallek	PROPN
fumecheng-12829	141	35	,	,	PUNCT
fumecheng-12829	141	36	h.	h.	PROPN
fumecheng-12829	141	37	mellouli	mellouli	PROPN
fumecheng-12829	141	38	,	,	PUNCT
fumecheng-12829	141	39	l.	l.	PROPN
fumecheng-12829	141	40	ben	ben	PROPN
fumecheng-12829	141	41	said	say	VERB
fumecheng-12829	141	42	,	,	PUNCT
fumecheng-12829	141	43	m.	m.	PROPN
fumecheng-12829	141	44	wali	wali	PROPN
fumecheng-12829	141	45	,	,	PUNCT
fumecheng-12829	141	46	f.	f.	PROPN
fumecheng-12829	141	47	dammak	dammak	PROPN
fumecheng-12829	141	48	,	,	PUNCT
fumecheng-12829	141	49	m.	m.	NOUN
fumecheng-12829	141	50	alhadri	alhadri	ADJ
fumecheng-12829	141	51	2.2	2.2	NUM
fumecheng-12829	141	52	.	.	PUNCT
fumecheng-12829	141	53	extensible	extensible	ADJ
fumecheng-12829	141	54	shell	shell	NOUN
fumecheng-12829	141	55	kinematics	kinematic	NOUN
fumecheng-12829	141	56	and	and	CCONJ
fumecheng-12829	141	57	fundamental	fundamental	ADJ
fumecheng-12829	141	58	equations	equation	NOUN
fumecheng-12829	141	59	this	this	DET
fumecheng-12829	141	60	section	section	NOUN
fumecheng-12829	141	61	provides	provide	VERB
fumecheng-12829	141	62	a	a	DET
fumecheng-12829	141	63	brief	brief	ADJ
fumecheng-12829	141	64	overview	overview	NOUN
fumecheng-12829	141	65	of	of	ADP
fumecheng-12829	141	66	the	the	DET
fumecheng-12829	141	67	kinematics	kinematic	NOUN
fumecheng-12829	141	68	underlying	underlie	VERB
fumecheng-12829	141	69	the	the	DET
fumecheng-12829	141	70	nonlinear	nonlinear	ADJ
fumecheng-12829	141	71	extensible	extensible	ADJ
fumecheng-12829	141	72	director	director	NOUN
fumecheng-12829	141	73	shell	shell	NOUN
fumecheng-12829	141	74	model	model	NOUN
fumecheng-12829	141	75	.	.	PUNCT
fumecheng-12829	142	1	the	the	DET
fumecheng-12829	142	2	initial	initial	ADJ
fumecheng-12829	142	3	and	and	CCONJ
fumecheng-12829	142	4	deformed	deformed	ADJ
fumecheng-12829	142	5	configurations	configuration	NOUN
fumecheng-12829	142	6	are	be	AUX
fumecheng-12829	142	7	denoted	denote	VERB
fumecheng-12829	142	8	as	as	ADP
fumecheng-12829	142	9	c0	c0	PROPN
fumecheng-12829	142	10	and	and	CCONJ
fumecheng-12829	142	11	ct	ct	PROPN
fumecheng-12829	142	12	,	,	PUNCT
fumecheng-12829	142	13	respectively	respectively	ADV
fumecheng-12829	142	14	.	.	PUNCT
fumecheng-12829	143	1	the	the	DET
fumecheng-12829	143	2	present	present	ADJ
fumecheng-12829	143	3	research	research	NOUN
fumecheng-12829	143	4	utilizes	utilize	VERB
fumecheng-12829	143	5	curvilinear	curvilinear	NOUN
fumecheng-12829	143	6	dimensions	dimension	NOUN
fumecheng-12829	143	7	(	(	PUNCT
fumecheng-12829	143	8	𝜉1	𝜉1	PROPN
fumecheng-12829	143	9	,	,	PUNCT
fumecheng-12829	143	10	𝜉2	𝜉2	PROPN
fumecheng-12829	143	11	,	,	PUNCT
fumecheng-12829	143	12	𝜉3	𝜉3	NOUN
fumecheng-12829	143	13	=	=	SYM
fumecheng-12829	143	14	𝑧	𝑧	NOUN
fumecheng-12829	143	15	)	)	PUNCT
fumecheng-12829	143	16	to	to	PART
fumecheng-12829	143	17	characterize	characterize	VERB
fumecheng-12829	143	18	the	the	DET
fumecheng-12829	143	19	location	location	NOUN
fumecheng-12829	143	20	and	and	CCONJ
fumecheng-12829	143	21	placement	placement	NOUN
fumecheng-12829	143	22	of	of	ADP
fumecheng-12829	143	23	physical	physical	ADJ
fumecheng-12829	143	24	parameters	parameter	NOUN
fumecheng-12829	143	25	.	.	PUNCT
fumecheng-12829	144	1	2.2.1	2.2.1	NUM
fumecheng-12829	144	2	.	.	PUNCT
fumecheng-12829	144	3	extensible	extensible	ADJ
fumecheng-12829	144	4	director	director	NOUN
fumecheng-12829	144	5	shell	shell	NOUN
fumecheng-12829	144	6	kinematics	kinematic	NOUN
fumecheng-12829	144	7	in	in	ADP
fumecheng-12829	144	8	the	the	DET
fumecheng-12829	144	9	following	following	NOUN
fumecheng-12829	144	10	,	,	PUNCT
fumecheng-12829	144	11	the	the	DET
fumecheng-12829	144	12	fsdt	fsdt	PROPN
fumecheng-12829	144	13	model	model	NOUN
fumecheng-12829	144	14	,	,	PUNCT
fumecheng-12829	144	15	also	also	ADV
fumecheng-12829	144	16	sometimes	sometimes	ADV
fumecheng-12829	144	17	denoted	denote	VERB
fumecheng-12829	144	18	as	as	ADP
fumecheng-12829	144	19	5	5	NUM
fumecheng-12829	144	20	-	-	PUNCT
fumecheng-12829	144	21	parameter	parameter	NOUN
fumecheng-12829	144	22	model	model	NOUN
fumecheng-12829	144	23	,	,	PUNCT
fumecheng-12829	144	24	is	be	AUX
fumecheng-12829	144	25	here	here	ADV
fumecheng-12829	144	26	enhanced	enhance	VERB
fumecheng-12829	144	27	with	with	ADP
fumecheng-12829	144	28	an	an	DET
fumecheng-12829	144	29	extensible	extensible	ADJ
fumecheng-12829	144	30	director	director	NOUN
fumecheng-12829	144	31	,	,	PUNCT
fumecheng-12829	144	32	thus	thus	ADV
fumecheng-12829	144	33	being	be	AUX
fumecheng-12829	144	34	able	able	ADJ
fumecheng-12829	144	35	to	to	PART
fumecheng-12829	144	36	depict	depict	VERB
fumecheng-12829	144	37	the	the	DET
fumecheng-12829	144	38	shell	shell	NOUN
fumecheng-12829	144	39	thickness	thickness	NOUN
fumecheng-12829	144	40	stretch	stretch	NOUN
fumecheng-12829	144	41	during	during	ADP
fumecheng-12829	144	42	its	its	PRON
fumecheng-12829	144	43	deformation	deformation	NOUN
fumecheng-12829	144	44	.	.	PUNCT
fumecheng-12829	145	1	according	accord	VERB
fumecheng-12829	145	2	to	to	ADP
fumecheng-12829	145	3	the	the	DET
fumecheng-12829	145	4	cited	cite	VERB
fumecheng-12829	145	5	theory	theory	NOUN
fumecheng-12829	145	6	,	,	PUNCT
fumecheng-12829	145	7	the	the	DET
fumecheng-12829	145	8	displacement	displacement	ADJ
fumecheng-12829	145	9	field	field	NOUN
fumecheng-12829	145	10	of	of	ADP
fumecheng-12829	145	11	an	an	DET
fumecheng-12829	145	12	arbitrary	arbitrary	ADJ
fumecheng-12829	145	13	point	point	NOUN
fumecheng-12829	145	14	(	(	PUNCT
fumecheng-12829	145	15	q	q	X
fumecheng-12829	145	16	)	)	PUNCT
fumecheng-12829	145	17	on	on	ADP
fumecheng-12829	145	18	the	the	DET
fumecheng-12829	145	19	shell	shell	NOUN
fumecheng-12829	145	20	,	,	PUNCT
fumecheng-12829	145	21	in	in	ADP
fumecheng-12829	145	22	both	both	CCONJ
fumecheng-12829	145	23	its	its	PRON
fumecheng-12829	145	24	initial	initial	ADJ
fumecheng-12829	145	25	state	state	NOUN
fumecheng-12829	145	26	and	and	CCONJ
fumecheng-12829	145	27	its	its	PRON
fumecheng-12829	145	28	current	current	ADJ
fumecheng-12829	145	29	configuration	configuration	NOUN
fumecheng-12829	145	30	can	can	AUX
fumecheng-12829	145	31	be	be	AUX
fumecheng-12829	145	32	expressed	express	VERB
fumecheng-12829	145	33	using	use	VERB
fumecheng-12829	145	34	curvilinear	curvilinear	PROPN
fumecheng-12829	145	35	coordinates	coordinate	NOUN
fumecheng-12829	145	36	:	:	PUNCT
fumecheng-12829	145	37			ADJ
fumecheng-12829	145	38			NOUN
fumecheng-12829	145	39	1	1	NUM
fumecheng-12829	145	40	2	2	NUM
fumecheng-12829	145	41	1	1	NUM
fumecheng-12829	145	42	2	2	NUM
fumecheng-12829	145	43	1	1	NUM
fumecheng-12829	145	44	2	2	NUM
fumecheng-12829	145	45	0	0	NUM
fumecheng-12829	145	46	01	01	NUM
fumecheng-12829	145	47	2	2	NUM
fumecheng-12829	145	48	1	1	NUM
fumecheng-12829	145	49	2	2	NUM
fumecheng-12829	145	50	1	1	NUM
fumecheng-12829	145	51	2	2	NUM
fumecheng-12829	145	52	ˆ	ˆ	NOUN
fumecheng-12829	145	53	(	(	PUNCT
fumecheng-12829	145	54	,	,	PUNCT
fumecheng-12829	145	55	,	,	PUNCT
fumecheng-12829	145	56	)	)	PUNCT
fumecheng-12829	145	57	(	(	PUNCT
fumecheng-12829	145	58	,	,	PUNCT
fumecheng-12829	145	59	)	)	PUNCT
fumecheng-12829	145	60	(	(	PUNCT
fumecheng-12829	145	61	,	,	PUNCT
fumecheng-12829	145	62	)	)	PUNCT
fumecheng-12829	145	63	ˆ	ˆ	PROPN
fumecheng-12829	145	64	;	;	PUNCT
fumecheng-12829	145	65	;	;	PUNCT
fumecheng-12829	145	66	/	/	SYM
fumecheng-12829	145	67	2	2	NUM
fumecheng-12829	145	68	,	,	PUNCT
fumecheng-12829	145	69	/	/	SYM
fumecheng-12829	145	70	2	2	NUM
fumecheng-12829	145	71	ˆ	ˆ	PROPN
fumecheng-12829	145	72	(	(	PUNCT
fumecheng-12829	145	73	,	,	PUNCT
fumecheng-12829	145	74	,	,	PUNCT
fumecheng-12829	145	75	)	)	PUNCT
fumecheng-12829	145	76	(	(	PUNCT
fumecheng-12829	145	77	,	,	PUNCT
fumecheng-12829	145	78	)	)	PUNCT
fumecheng-12829	145	79	(	(	PUNCT
fumecheng-12829	145	80	,	,	PUNCT
fumecheng-12829	145	81	)	)	PUNCT
fumecheng-12829	145	82	q	q	PROPN
fumecheng-12829	146	1	p	p	X
fumecheng-12829	146	2	q	q	X
fumecheng-12829	146	3	p	p	PROPN
fumecheng-12829	146	4	z	z	NOUN
fumecheng-12829	146	5	z	z	NOUN
fumecheng-12829	146	6	z	z	NOUN
fumecheng-12829	146	7	z	z	NOUN
fumecheng-12829	146	8	z	z	NOUN
fumecheng-12829	146	9	z	z	NOUN
fumecheng-12829	146	10	h	h	NOUN
fumecheng-12829	147	1	h	h	NOUN
fumecheng-12829	147	2	z	z	NOUN
fumecheng-12829	147	3	z	z	NOUN
fumecheng-12829	147	4			NOUN
fumecheng-12829	147	5			NOUN
fumecheng-12829	147	6			NOUN
fumecheng-12829	147	7			NOUN
fumecheng-12829	147	8			NOUN
fumecheng-12829	147	9			NOUN
fumecheng-12829	147	10			NOUN
fumecheng-12829	147	11			NOUN
fumecheng-12829	147	12			NOUN
fumecheng-12829	147	13			NOUN
fumecheng-12829	147	14			NOUN
fumecheng-12829	147	15			NOUN
fumecheng-12829	147	16			NOUN
fumecheng-12829	147	17	=	=	PUNCT
fumecheng-12829	148	1	+	+	NOUN
fumecheng-12829	148	2			NUM
fumecheng-12829	148	3	=	=	SYM
fumecheng-12829	148	4	−	−	PROPN
fumecheng-12829	148	5			NOUN
fumecheng-12829	148	6	−	−	NOUN
fumecheng-12829	148	7	=	=	PUNCT
fumecheng-12829	149	1	+	+	ADJ
fumecheng-12829	149	2			NOUN
fumecheng-12829	149	3	x	x	X
fumecheng-12829	149	4	x	x	PUNCT
fumecheng-12829	149	5	d	d	NOUN
fumecheng-12829	149	6	x	x	X
fumecheng-12829	149	7	x	x	SYM
fumecheng-12829	149	8	d	d	X
fumecheng-12829	149	9	(	(	PUNCT
fumecheng-12829	149	10	6	6	NUM
fumecheng-12829	149	11	)	)	PUNCT
fumecheng-12829	149	12	in	in	ADP
fumecheng-12829	149	13	which	which	PRON
fumecheng-12829	149	14	the	the	DET
fumecheng-12829	149	15	in	in	ADP
fumecheng-12829	149	16	-	-	PUNCT
fumecheng-12829	149	17	plane	plane	NOUN
fumecheng-12829	149	18	curvilinear	curvilinear	NOUN
fumecheng-12829	149	19	coordinates	coordinate	NOUN
fumecheng-12829	149	20	(	(	PUNCT
fumecheng-12829	149	21	𝜉1	𝜉1	PROPN
fumecheng-12829	149	22	,	,	PUNCT
fumecheng-12829	149	23	𝜉2	𝜉2	PROPN
fumecheng-12829	149	24	)	)	PUNCT
fumecheng-12829	149	25	are	be	AUX
fumecheng-12829	149	26	tangent	tangent	ADJ
fumecheng-12829	149	27	to	to	ADP
fumecheng-12829	149	28	the	the	DET
fumecheng-12829	149	29	mid	mid	NOUN
fumecheng-12829	149	30	-	-	NOUN
fumecheng-12829	149	31	surface	surface	NOUN
fumecheng-12829	149	32	,	,	PUNCT
fumecheng-12829	149	33	whereas	whereas	SCONJ
fumecheng-12829	149	34	the	the	DET
fumecheng-12829	149	35	thickness	thickness	NOUN
fumecheng-12829	149	36	coordinate	coordinate	NOUN
fumecheng-12829	149	37	𝜉3	𝜉3	NOUN
fumecheng-12829	149	38	is	be	AUX
fumecheng-12829	149	39	perpendicular	perpendicular	ADJ
fumecheng-12829	149	40	to	to	ADP
fumecheng-12829	149	41	this	this	DET
fumecheng-12829	149	42	mid	mid	NOUN
fumecheng-12829	149	43	-	-	NOUN
fumecheng-12829	149	44	surface	surface	NOUN
fumecheng-12829	149	45	,	,	PUNCT
fumecheng-12829	149	46	as	as	SCONJ
fumecheng-12829	149	47	depicted	depict	VERB
fumecheng-12829	149	48	in	in	ADP
fumecheng-12829	149	49	fig	fig	NOUN
fumecheng-12829	149	50	.	.	PUNCT
fumecheng-12829	150	1	4	4	X
fumecheng-12829	150	2	.	.	NUM
fumecheng-12829	150	3	xp	xp	PROPN
fumecheng-12829	151	1	and	and	CCONJ
fumecheng-12829	151	2	xp	xp	INTJ
fumecheng-12829	151	3	represent	represent	VERB
fumecheng-12829	151	4	the	the	DET
fumecheng-12829	151	5	position	position	NOUN
fumecheng-12829	151	6	vector	vector	NOUN
fumecheng-12829	151	7	located	locate	VERB
fumecheng-12829	151	8	on	on	ADP
fumecheng-12829	151	9	the	the	DET
fumecheng-12829	151	10	mid	mid	NOUN
fumecheng-12829	151	11	-	-	NOUN
fumecheng-12829	151	12	surface	surface	NOUN
fumecheng-12829	151	13	in	in	ADP
fumecheng-12829	151	14	c0	c0	PROPN
fumecheng-12829	151	15	and	and	CCONJ
fumecheng-12829	151	16	ct	ct	PROPN
fumecheng-12829	151	17	,	,	PUNCT
fumecheng-12829	151	18	respectively	respectively	ADV
fumecheng-12829	151	19	.	.	PUNCT
fumecheng-12829	152	1	ho	ho	PROPN
fumecheng-12829	152	2	refers	refer	VERB
fumecheng-12829	152	3	to	to	ADP
fumecheng-12829	152	4	the	the	DET
fumecheng-12829	152	5	initial	initial	ADJ
fumecheng-12829	152	6	thickness	thickness	NOUN
fumecheng-12829	152	7	of	of	ADP
fumecheng-12829	152	8	the	the	DET
fumecheng-12829	152	9	structure	structure	NOUN
fumecheng-12829	152	10	and	and	CCONJ
fumecheng-12829	152	11	d	d	NOUN
fumecheng-12829	152	12	designates	designate	VERB
fumecheng-12829	152	13	the	the	DET
fumecheng-12829	152	14	director	director	NOUN
fumecheng-12829	152	15	shell	shell	NOUN
fumecheng-12829	152	16	vectors	vector	NOUN
fumecheng-12829	152	17	in	in	ADP
fumecheng-12829	152	18	c0	c0	PROPN
fumecheng-12829	152	19	.	.	PUNCT
fumecheng-12829	153	1	fig	fig	NOUN
fumecheng-12829	153	2	.	.	PUNCT
fumecheng-12829	154	1	4	4	NUM
fumecheng-12829	154	2	geometry	geometry	NOUN
fumecheng-12829	154	3	and	and	CCONJ
fumecheng-12829	154	4	kinematics	kinematic	NOUN
fumecheng-12829	154	5	of	of	ADP
fumecheng-12829	154	6	the	the	DET
fumecheng-12829	154	7	shell	shell	NOUN
fumecheng-12829	154	8	element	element	NOUN
fumecheng-12829	154	9	the	the	DET
fumecheng-12829	154	10	initial	initial	ADJ
fumecheng-12829	154	11	improvement	improvement	NOUN
fumecheng-12829	154	12	to	to	ADP
fumecheng-12829	154	13	the	the	DET
fumecheng-12829	154	14	shell	shell	NOUN
fumecheng-12829	154	15	's	's	PART
fumecheng-12829	154	16	kinematic	kinematic	ADJ
fumecheng-12829	154	17	properties	property	NOUN
fumecheng-12829	154	18	involves	involve	VERB
fumecheng-12829	154	19	incorporating	incorporate	VERB
fumecheng-12829	154	20	an	an	DET
fumecheng-12829	154	21	extensible	extensible	ADJ
fumecheng-12829	154	22	director	director	NOUN
fumecheng-12829	154	23	vector	vector	NOUN
fumecheng-12829	154	24	using	use	VERB
fumecheng-12829	154	25	an	an	DET
fumecheng-12829	154	26	extra	extra	ADJ
fumecheng-12829	154	27	variable	variable	NOUN
fumecheng-12829	154	28	known	know	VERB
fumecheng-12829	154	29	as	as	ADP
fumecheng-12829	154	30	the	the	DET
fumecheng-12829	154	31	shell	shell	ADJ
fumecheng-12829	154	32	thickness	thickness	NOUN
fumecheng-12829	154	33	stretch	stretch	NOUN
fumecheng-12829	154	34	.	.	PUNCT
fumecheng-12829	155	1	consequently	consequently	ADV
fumecheng-12829	155	2	,	,	PUNCT
fumecheng-12829	155	3	the	the	DET
fumecheng-12829	155	4	deformation	deformation	NOUN
fumecheng-12829	155	5	of	of	ADP
fumecheng-12829	155	6	the	the	DET
fumecheng-12829	155	7	director	director	NOUN
fumecheng-12829	155	8	within	within	ADP
fumecheng-12829	155	9	ct	ct	PROPN
fumecheng-12829	155	10	is	be	AUX
fumecheng-12829	155	11	characterized	characterize	VERB
fumecheng-12829	155	12	by	by	ADP
fumecheng-12829	155	13	both	both	CCONJ
fumecheng-12829	155	14	an	an	DET
fumecheng-12829	155	15	inextensible	inextensible	ADJ
fumecheng-12829	155	16	unit	unit	NOUN
fumecheng-12829	155	17	vector	vector	NOUN
fumecheng-12829	155	18	t	t	PROPN
fumecheng-12829	155	19	and	and	CCONJ
fumecheng-12829	155	20	a	a	DET
fumecheng-12829	155	21	thickness	thickness	NOUN
fumecheng-12829	155	22	stretch	stretch	NOUN
fumecheng-12829	155	23	parameter	parameter	NOUN
fumecheng-12829	155	24	represented	represent	VERB
fumecheng-12829	155	25	as	as	ADP
fumecheng-12829	155	26	λ	λ	NOUN
fumecheng-12829	155	27	:	:	PUNCT
fumecheng-12829	155	28	porosity	porosity	NOUN
fumecheng-12829	155	29	effects	effect	NOUN
fumecheng-12829	155	30	on	on	ADP
fumecheng-12829	155	31	nonlinear	nonlinear	ADJ
fumecheng-12829	155	32	static	static	ADJ
fumecheng-12829	155	33	performances	performance	NOUN
fumecheng-12829	155	34	of	of	ADP
fumecheng-12829	155	35	fg	fg	PROPN
fumecheng-12829	155	36	shells	shell	NOUN
fumecheng-12829	155	37	considering	consider	VERB
fumecheng-12829	155	38	thickness	thickness	NOUN
fumecheng-12829	155	39	stretching	stretch	VERB
fumecheng-12829	155	40	835	835	NUM
fumecheng-12829	155	41	1	1	NUM
fumecheng-12829	155	42	2	2	NUM
fumecheng-12829	155	43	1	1	NUM
fumecheng-12829	155	44	2	2	NUM
fumecheng-12829	155	45	1	1	NUM
fumecheng-12829	155	46	2	2	NUM
fumecheng-12829	155	47	1	1	NUM
fumecheng-12829	155	48	2	2	NUM
fumecheng-12829	155	49	(	(	PUNCT
fumecheng-12829	155	50	,	,	PUNCT
fumecheng-12829	155	51	)	)	PUNCT
fumecheng-12829	155	52	1	1	NUM
fumecheng-12829	155	53	(	(	PUNCT
fumecheng-12829	155	54	,	,	PUNCT
fumecheng-12829	155	55	)	)	PUNCT
fumecheng-12829	155	56	(	(	PUNCT
fumecheng-12829	155	57	,	,	PUNCT
fumecheng-12829	155	58	)	)	PUNCT
fumecheng-12829	155	59	;	;	PUNCT
fumecheng-12829	155	60	(	(	PUNCT
fumecheng-12829	155	61	,	,	PUNCT
fumecheng-12829	155	62	)	)	PUNCT
fumecheng-12829	155	63	1	1	NUM
fumecheng-12829	155	64			NOUN
fumecheng-12829	155	65			X
fumecheng-12829	155	66			NOUN
fumecheng-12829	155	67			PUNCT
fumecheng-12829	155	68			NOUN
fumecheng-12829	156	1			NOUN
fumecheng-12829	156	2			NOUN
fumecheng-12829	156	3			X
fumecheng-12829	156	4	=	=	NOUN
fumecheng-12829	156	5	−	−	NOUN
fumecheng-12829	156	6	=	=	NOUN
fumecheng-12829	156	7			NOUN
fumecheng-12829	156	8	d	d	VERB
fumecheng-12829	156	9	t	t	PROPN
fumecheng-12829	156	10	t	t	PROPN
fumecheng-12829	156	11	(	(	PUNCT
fumecheng-12829	156	12	7	7	NUM
fumecheng-12829	156	13	)	)	PUNCT
fumecheng-12829	156	14	according	accord	VERB
fumecheng-12829	156	15	to	to	ADP
fumecheng-12829	156	16	eq	eq	PROPN
fumecheng-12829	156	17	.	.	PUNCT
fumecheng-12829	157	1	(	(	PUNCT
fumecheng-12829	157	2	4	4	NUM
fumecheng-12829	157	3	)	)	PUNCT
fumecheng-12829	157	4	,	,	PUNCT
fumecheng-12829	157	5	the	the	DET
fumecheng-12829	157	6	vectors	vector	NOUN
fumecheng-12829	157	7	xq	xq	PROPN
fumecheng-12829	157	8	and	and	CCONJ
fumecheng-12829	157	9	d	d	PROPN
fumecheng-12829	157	10	are	be	AUX
fumecheng-12829	157	11	treated	treat	VERB
fumecheng-12829	157	12	as	as	ADP
fumecheng-12829	157	13	independent	independent	ADJ
fumecheng-12829	157	14	quantities	quantity	NOUN
fumecheng-12829	157	15	,	,	PUNCT
fumecheng-12829	157	16	with	with	SCONJ
fumecheng-12829	157	17	xq	xq	PROPN
fumecheng-12829	157	18	expressed	express	VERB
fumecheng-12829	157	19	by	by	ADP
fumecheng-12829	157	20	three	three	NUM
fumecheng-12829	157	21	components	component	NOUN
fumecheng-12829	157	22	,	,	PUNCT
fumecheng-12829	157	23	while	while	SCONJ
fumecheng-12829	157	24	d	d	NOUN
fumecheng-12829	157	25	is	be	AUX
fumecheng-12829	157	26	described	describe	VERB
fumecheng-12829	157	27	by	by	ADP
fumecheng-12829	157	28	only	only	ADV
fumecheng-12829	157	29	two	two	NUM
fumecheng-12829	157	30	.	.	PUNCT
fumecheng-12829	158	1	the	the	DET
fumecheng-12829	158	2	shell	shell	ADJ
fumecheng-12829	158	3	thickness	thickness	NOUN
fumecheng-12829	158	4	can	can	AUX
fumecheng-12829	158	5	be	be	AUX
fumecheng-12829	158	6	determined	determine	VERB
fumecheng-12829	158	7	in	in	ADP
fumecheng-12829	158	8	relation	relation	NOUN
fumecheng-12829	158	9	to	to	ADP
fumecheng-12829	158	10	the	the	DET
fumecheng-12829	158	11	thickness	thickness	NOUN
fumecheng-12829	158	12	stretching	stretch	VERB
fumecheng-12829	158	13	parameter	parameter	NOUN
fumecheng-12829	158	14	λ	λ	PROPN
fumecheng-12829	158	15	(	(	PUNCT
fumecheng-12829	158	16	𝜉1	𝜉1	PROPN
fumecheng-12829	158	17	,	,	PUNCT
fumecheng-12829	158	18	𝜉2	𝜉2	PROPN
fumecheng-12829	158	19	)	)	PUNCT
fumecheng-12829	158	20	as	as	SCONJ
fumecheng-12829	158	21	follows	follow	VERB
fumecheng-12829	158	22	[	[	X
fumecheng-12829	158	23	27	27	NUM
fumecheng-12829	158	24	]	]	SYM
fumecheng-12829	158	25	:	:	PUNCT
fumecheng-12829	158	26	0	0	NUM
fumecheng-12829	158	27	01	01	NUM
fumecheng-12829	158	28	/	/	SYM
fumecheng-12829	159	1	,	,	PUNCT
fumecheng-12829	159	2	(	(	PUNCT
fumecheng-12829	159	3	1	1	X
fumecheng-12829	159	4	)	)	PUNCT
fumecheng-12829	159	5	h	h	NOUN
fumecheng-12829	159	6	h	h	NOUN
fumecheng-12829	159	7	h	h	NOUN
fumecheng-12829	159	8	h	h	ADV
fumecheng-12829	159	9	−	−	ADJ
fumecheng-12829	159	10	=	=	PUNCT
fumecheng-12829	159	11	=	=	SYM
fumecheng-12829	159	12	−	−	PROPN
fumecheng-12829	159	13	(	(	PUNCT
fumecheng-12829	159	14	8)	8)	NUM
fumecheng-12829	159	15	it	it	PRON
fumecheng-12829	159	16	is	be	AUX
fumecheng-12829	159	17	worth	worth	ADJ
fumecheng-12829	159	18	mentioning	mention	VERB
fumecheng-12829	159	19	that	that	PRON
fumecheng-12829	159	20	for	for	ADP
fumecheng-12829	159	21	the	the	DET
fumecheng-12829	159	22	reference	reference	NOUN
fumecheng-12829	159	23	configuration	configuration	NOUN
fumecheng-12829	159	24	c0	c0	NOUN
fumecheng-12829	159	25	where	where	SCONJ
fumecheng-12829	159	26	there	there	PRON
fumecheng-12829	159	27	is	be	VERB
fumecheng-12829	159	28	no	no	DET
fumecheng-12829	159	29	thickness	thickness	NOUN
fumecheng-12829	159	30	stretch	stretch	NOUN
fumecheng-12829	159	31	,	,	PUNCT
fumecheng-12829	159	32	the	the	DET
fumecheng-12829	159	33	scalar	scalar	ADJ
fumecheng-12829	159	34	function	function	NOUN
fumecheng-12829	159	35	λ	λ	PROPN
fumecheng-12829	159	36	is	be	AUX
fumecheng-12829	159	37	initially	initially	ADV
fumecheng-12829	159	38	defined	define	VERB
fumecheng-12829	159	39	as	as	ADP
fumecheng-12829	159	40	zero	zero	NUM
fumecheng-12829	159	41	.	.	PUNCT
fumecheng-12829	160	1	the	the	DET
fumecheng-12829	160	2	derivative	derivative	NOUN
fumecheng-12829	160	3	of	of	ADP
fumecheng-12829	160	4	the	the	DET
fumecheng-12829	160	5	director	director	NOUN
fumecheng-12829	160	6	vector	vector	NOUN
fumecheng-12829	160	7	d	d	PROPN
fumecheng-12829	160	8	is	be	AUX
fumecheng-12829	160	9	expressed	express	VERB
fumecheng-12829	160	10	as	as	ADP
fumecheng-12829	160	11	below	below	ADV
fumecheng-12829	160	12	:	:	PUNCT
fumecheng-12829	160	13	,	,	PUNCT
fumecheng-12829	160	14	,	,	PUNCT
fumecheng-12829	160	15	,	,	PUNCT
fumecheng-12829	160	16	(	(	PUNCT
fumecheng-12829	160	17	1	1	NUM
fumecheng-12829	160	18	)	)	PUNCT
fumecheng-12829	160	19	,	,	PUNCT
fumecheng-12829	161	1	1,2k	1,2k	NUM
fumecheng-12829	161	2	k	k	X
fumecheng-12829	162	1	k	k	PROPN
fumecheng-12829	162	2	k	k	NOUN
fumecheng-12829	162	3	=	=	PUNCT
fumecheng-12829	162	4	−	−	NOUN
fumecheng-12829	162	5	−	−	PROPN
fumecheng-12829	163	1	=	=	SYM
fumecheng-12829	163	2	d	d	PROPN
fumecheng-12829	163	3	t	t	PROPN
fumecheng-12829	163	4	t	t	PROPN
fumecheng-12829	163	5	(	(	PUNCT
fumecheng-12829	163	6	9	9	NUM
fumecheng-12829	163	7	)	)	PUNCT
fumecheng-12829	163	8	for	for	ADP
fumecheng-12829	163	9	the	the	DET
fumecheng-12829	163	10	ease	ease	NOUN
fumecheng-12829	163	11	of	of	ADP
fumecheng-12829	163	12	defining	define	VERB
fumecheng-12829	163	13	the	the	DET
fumecheng-12829	163	14	shell	shell	ADJ
fumecheng-12829	163	15	deformation	deformation	NOUN
fumecheng-12829	163	16	gradient	gradient	NOUN
fumecheng-12829	163	17	,	,	PUNCT
fumecheng-12829	163	18	the	the	DET
fumecheng-12829	163	19	covariant	covariant	ADJ
fumecheng-12829	163	20	basis	basis	NOUN
fumecheng-12829	163	21	vectors	vector	NOUN
fumecheng-12829	163	22	are	be	AUX
fumecheng-12829	163	23	determined	determine	VERB
fumecheng-12829	163	24	in	in	ADP
fumecheng-12829	163	25	the	the	DET
fumecheng-12829	163	26	initial	initial	ADJ
fumecheng-12829	163	27	and	and	CCONJ
fumecheng-12829	163	28	actual	actual	ADJ
fumecheng-12829	163	29	configurations	configuration	NOUN
fumecheng-12829	163	30	as	as	ADP
fumecheng-12829	163	31	:	:	PUNCT
fumecheng-12829	163	32	,	,	PUNCT
fumecheng-12829	163	33	3	3	NUM
fumecheng-12829	163	34	,	,	PUNCT
fumecheng-12829	163	35	3	3	NUM
fumecheng-12829	163	36	;	;	PUNCT
fumecheng-12829	163	37	,	,	PUNCT
fumecheng-12829	163	38	1,2	1,2	NUM
fumecheng-12829	163	39	ˆ	ˆ	NOUN
fumecheng-12829	163	40	;	;	PUNCT
fumecheng-12829	164	1	k	k	PROPN
fumecheng-12829	164	2	k	k	PROPN
fumecheng-12829	165	1	k	k	PROPN
fumecheng-12829	165	2	k	k	PROPN
fumecheng-12829	166	1	k	k	PROPN
fumecheng-12829	167	1	k	k	PROPN
fumecheng-12829	167	2	z	z	PUNCT
fumecheng-12829	168	1	k	k	NOUN
fumecheng-12829	168	2	z	z	NOUN
fumecheng-12829	168	3	=	=	PUNCT
fumecheng-12829	169	1	+	+	PUNCT
fumecheng-12829	169	2	=	=	NOUN
fumecheng-12829	170	1			NOUN
fumecheng-12829	170	2	=	=	NOUN
fumecheng-12829	170	3			NUM
fumecheng-12829	170	4	=	=	PUNCT
fumecheng-12829	171	1	+	+	PUNCT
fumecheng-12829	171	2	=	=	NUM
fumecheng-12829	171	3			PROPN
fumecheng-12829	171	4	g	g	PROPN
fumecheng-12829	171	5	a	a	PROPN
fumecheng-12829	171	6	d	d	X
fumecheng-12829	171	7	g	g	PROPN
fumecheng-12829	171	8	d	d	PROPN
fumecheng-12829	171	9	g	g	PROPN
fumecheng-12829	171	10	a	a	PROPN
fumecheng-12829	171	11	d	d	X
fumecheng-12829	171	12	g	g	PROPN
fumecheng-12829	171	13	d	d	PROPN
fumecheng-12829	171	14	(	(	PUNCT
fumecheng-12829	171	15	10	10	NUM
fumecheng-12829	171	16	)	)	PUNCT
fumecheng-12829	171	17	where	where	SCONJ
fumecheng-12829	171	18	(	(	PUNCT
fumecheng-12829	171	19	𝑨1	𝑨1	PROPN
fumecheng-12829	171	20	,	,	PUNCT
fumecheng-12829	171	21	𝑨2	𝑨2	PROPN
fumecheng-12829	171	22	,	,	PUNCT
fumecheng-12829	171	23	𝑨3	𝑨3	NOUN
fumecheng-12829	171	24	)	)	PUNCT
fumecheng-12829	171	25	denote	denote	VERB
fumecheng-12829	171	26	the	the	DET
fumecheng-12829	171	27	tangent	tangent	ADJ
fumecheng-12829	171	28	basis	basis	NOUN
fumecheng-12829	171	29	vectors	vector	NOUN
fumecheng-12829	171	30	of	of	ADP
fumecheng-12829	171	31	the	the	DET
fumecheng-12829	171	32	mid	mid	NOUN
fumecheng-12829	171	33	-	-	NOUN
fumecheng-12829	171	34	surface	surface	NOUN
fumecheng-12829	171	35	in	in	ADP
fumecheng-12829	171	36	the	the	DET
fumecheng-12829	171	37	undeformed	undeformed	ADJ
fumecheng-12829	171	38	reference	reference	NOUN
fumecheng-12829	171	39	configuration	configuration	NOUN
fumecheng-12829	171	40	and	and	CCONJ
fumecheng-12829	171	41	(	(	PUNCT
fumecheng-12829	171	42	𝒂1	𝒂1	PROPN
fumecheng-12829	171	43	,	,	PUNCT
fumecheng-12829	171	44	𝒂2	𝒂2	NOUN
fumecheng-12829	171	45	,	,	PUNCT
fumecheng-12829	171	46	𝒂3	𝒂3	NOUN
fumecheng-12829	171	47	)	)	PUNCT
fumecheng-12829	171	48	are	be	AUX
fumecheng-12829	171	49	their	their	PRON
fumecheng-12829	171	50	image	image	NOUN
fumecheng-12829	171	51	at	at	ADP
fumecheng-12829	171	52	the	the	DET
fumecheng-12829	171	53	actual	actual	ADJ
fumecheng-12829	171	54	configuration	configuration	NOUN
fumecheng-12829	171	55	.	.	PUNCT
fumecheng-12829	172	1	the	the	DET
fumecheng-12829	172	2	riemannian	riemannian	ADJ
fumecheng-12829	172	3	metric	metric	NOUN
fumecheng-12829	172	4	at	at	ADP
fumecheng-12829	172	5	the	the	DET
fumecheng-12829	172	6	initial	initial	ADJ
fumecheng-12829	172	7	configuration	configuration	NOUN
fumecheng-12829	172	8	c0	c0	NOUN
fumecheng-12829	172	9	is	be	AUX
fumecheng-12829	172	10	designated	designate	VERB
fumecheng-12829	172	11	by	by	ADP
fumecheng-12829	172	12	g	g	PROPN
fumecheng-12829	172	13	,	,	PUNCT
fumecheng-12829	172	14	that	that	PRON
fumecheng-12829	172	15	of	of	ADP
fumecheng-12829	172	16	the	the	DET
fumecheng-12829	172	17	current	current	ADJ
fumecheng-12829	172	18	configuration	configuration	NOUN
fumecheng-12829	172	19	ct	ct	NUM
fumecheng-12829	172	20	by	by	ADP
fumecheng-12829	172	21	g	g	PROPN
fumecheng-12829	172	22	,	,	PUNCT
fumecheng-12829	172	23	having	have	VERB
fumecheng-12829	172	24	the	the	DET
fumecheng-12829	172	25	following	following	ADJ
fumecheng-12829	172	26	expressions	expression	NOUN
fumecheng-12829	172	27	:	:	PUNCT
fumecheng-12829	172	28	.	.	PUNCT
fumecheng-12829	173	1	,	,	PUNCT
fumecheng-12829	173	2	,	,	PUNCT
fumecheng-12829	173	3	1,2,3	1,2,3	NUM
fumecheng-12829	173	4	.	.	PUNCT
fumecheng-12829	174	1	i	i	PRON
fumecheng-12829	174	2	j	j	VERB
fumecheng-12829	175	1	i	i	PRON
fumecheng-12829	175	2	j	j	VERB
fumecheng-12829	176	1	i	i	PRON
fumecheng-12829	176	2	j	j	PROPN
fumecheng-12829	177	1			ADV
fumecheng-12829	177	2			PROPN
fumecheng-12829	177	3	=	=	NOUN
fumecheng-12829	177	4			VERB
fumecheng-12829	177	5			PROPN
fumecheng-12829	177	6	=	=	SYM
fumecheng-12829	178	1			NUM
fumecheng-12829	178	2			PROPN
fumecheng-12829	178	3	=	=	NOUN
fumecheng-12829	178	4			VERB
fumecheng-12829	178	5			NOUN
fumecheng-12829	178	6	g	g	NOUN
fumecheng-12829	178	7	g	g	PROPN
fumecheng-12829	178	8	g	g	PROPN
fumecheng-12829	178	9	g	g	PROPN
fumecheng-12829	178	10	g	g	PROPN
fumecheng-12829	178	11	g	g	PROPN
fumecheng-12829	178	12	(	(	PUNCT
fumecheng-12829	178	13	11	11	NUM
fumecheng-12829	178	14	)	)	PUNCT
fumecheng-12829	178	15	introducing	introduce	VERB
fumecheng-12829	178	16	the	the	DET
fumecheng-12829	178	17	expressions	expression	NOUN
fumecheng-12829	178	18	of	of	ADP
fumecheng-12829	178	19	the	the	DET
fumecheng-12829	178	20	covariant	covariant	ADJ
fumecheng-12829	178	21	basis	basis	NOUN
fumecheng-12829	178	22	vectors	vector	NOUN
fumecheng-12829	178	23	and	and	CCONJ
fumecheng-12829	178	24	the	the	DET
fumecheng-12829	178	25	riemannian	riemannian	ADJ
fumecheng-12829	178	26	metric	metric	NOUN
fumecheng-12829	178	27	(	(	PUNCT
fumecheng-12829	178	28	eqs	eqs	X
fumecheng-12829	178	29	.	.	PUNCT
fumecheng-12829	179	1	(	(	PUNCT
fumecheng-12829	179	2	10	10	NUM
fumecheng-12829	179	3	)	)	PUNCT
fumecheng-12829	179	4	and	and	CCONJ
fumecheng-12829	179	5	(	(	PUNCT
fumecheng-12829	179	6	11	11	NUM
fumecheng-12829	179	7	)	)	PUNCT
fumecheng-12829	179	8	)	)	PUNCT
fumecheng-12829	179	9	yields	yield	VERB
fumecheng-12829	179	10	the	the	DET
fumecheng-12829	179	11	covariant	covariant	ADJ
fumecheng-12829	179	12	components	component	NOUN
fumecheng-12829	179	13	of	of	ADP
fumecheng-12829	179	14	the	the	DET
fumecheng-12829	179	15	3d	3d	PROPN
fumecheng-12829	179	16	metric	metric	ADJ
fumecheng-12829	179	17	tensor	tensor	NOUN
fumecheng-12829	179	18	in	in	ADP
fumecheng-12829	179	19	ct	ct	PROPN
fumecheng-12829	179	20	as	as	ADP
fumecheng-12829	179	21	:	:	PUNCT
fumecheng-12829	179	22	2	2	NUM
fumecheng-12829	179	23	0	0	NUM
fumecheng-12829	179	24	1	1	NUM
fumecheng-12829	179	25	ij	ij	INTJ
fumecheng-12829	179	26	i	i	PRON
fumecheng-12829	179	27	j	j	PROPN
fumecheng-12829	179	28	ˆ	ˆ	ADV
fumecheng-12829	179	29	(	(	PUNCT
fumecheng-12829	179	30	)	)	PUNCT
fumecheng-12829	179	31	ˆ.	ˆ.	NOUN
fumecheng-12829	179	32	,	,	PUNCT
fumecheng-12829	179	33	+	+	CCONJ
fumecheng-12829	179	34	,	,	PUNCT
fumecheng-12829	179	35	,	,	PUNCT
fumecheng-12829	179	36	1,2,3	1,2,3	NUM
fumecheng-12829	179	37	,	,	PUNCT
fumecheng-12829	179	38	,	,	PUNCT
fumecheng-12829	179	39	1,2	1,2	NUM
fumecheng-12829	179	40	.	.	PUNCT
fumecheng-12829	180	1	kβ	kβ	INTJ
fumecheng-12829	180	2	kβ	kβ	INTJ
fumecheng-12829	181	1	k	k	PROPN
fumecheng-12829	181	2	k3	k3	PROPN
fumecheng-12829	181	3	k	k	PROPN
fumecheng-12829	181	4	k	k	PROPN
fumecheng-12829	181	5	33	33	NUM
fumecheng-12829	181	6	g	g	PROPN
fumecheng-12829	181	7	a	a	DET
fumecheng-12829	181	8	zb	zb	NOUN
fumecheng-12829	181	9	o	o	NOUN
fumecheng-12829	181	10	z	z	NOUN
fumecheng-12829	181	11	g	g	PROPN
fumecheng-12829	181	12	g	g	PROPN
fumecheng-12829	181	13	c	c	PROPN
fumecheng-12829	181	14	zc	zc	INTJ
fumecheng-12829	182	1	i	i	PRON
fumecheng-12829	182	2	j	j	PROPN
fumecheng-12829	183	1	k	k	PROPN
fumecheng-12829	183	2	g	g	PROPN
fumecheng-12829	183	3			PROPN
fumecheng-12829	183	4			PROPN
fumecheng-12829	183	5			NOUN
fumecheng-12829	184	1	=	=	PUNCT
fumecheng-12829	185	1	+	+	PUNCT
fumecheng-12829	185	2	+	+	NUM
fumecheng-12829	185	3			NOUN
fumecheng-12829	185	4	=	=	SYM
fumecheng-12829	185	5	=	=	SYM
fumecheng-12829	185	6	=	=	PUNCT
fumecheng-12829	186	1	=	=	NOUN
fumecheng-12829	186	2			NUM
fumecheng-12829	186	3			NUM
fumecheng-12829	186	4	=	=	NOUN
fumecheng-12829	186	5			NUM
fumecheng-12829	186	6	g	g	NOUN
fumecheng-12829	186	7	g	g	PROPN
fumecheng-12829	186	8	d	d	PROPN
fumecheng-12829	186	9	d	d	PROPN
fumecheng-12829	186	10	(	(	PUNCT
fumecheng-12829	186	11	12	12	NUM
fumecheng-12829	186	12	)	)	PUNCT
fumecheng-12829	186	13	where	where	SCONJ
fumecheng-12829	186	14	𝑎𝑘𝛽	𝑎𝑘𝛽	PROPN
fumecheng-12829	186	15	,	,	PUNCT
fumecheng-12829	186	16	𝑏𝑘𝛽	𝑏𝑘𝛽	PROPN
fumecheng-12829	186	17	,	,	PUNCT
fumecheng-12829	186	18	𝑐𝑘	𝑐𝑘	NOUN
fumecheng-12829	186	19	0	0	NUM
fumecheng-12829	186	20	and	and	CCONJ
fumecheng-12829	186	21	𝑐𝑘	𝑐𝑘	NOUN
fumecheng-12829	186	22	1	1	NUM
fumecheng-12829	186	23	represent	represent	VERB
fumecheng-12829	186	24	the	the	DET
fumecheng-12829	186	25	kinematic	kinematic	ADJ
fumecheng-12829	186	26	variables	variable	NOUN
fumecheng-12829	186	27	,	,	PUNCT
fumecheng-12829	186	28	which	which	PRON
fumecheng-12829	186	29	are	be	AUX
fumecheng-12829	186	30	expressed	express	VERB
fumecheng-12829	186	31	as	as	ADP
fumecheng-12829	186	32	:	:	PUNCT
fumecheng-12829	186	33	,	,	PUNCT
fumecheng-12829	186	34	,	,	PUNCT
fumecheng-12829	186	35	0	0	NUM
fumecheng-12829	186	36	1	1	NUM
fumecheng-12829	186	37	,	,	PUNCT
fumecheng-12829	186	38	.	.	PUNCT
fumecheng-12829	186	39	,	,	PUNCT
fumecheng-12829	186	40	.	.	PUNCT
fumecheng-12829	186	41	.	.	PUNCT
fumecheng-12829	187	1	,	,	PUNCT
fumecheng-12829	187	2	,	,	PUNCT
fumecheng-12829	187	3	1,2	1,2	NUM
fumecheng-12829	187	4	.	.	PUNCT
fumecheng-12829	187	5	,	,	PUNCT
fumecheng-12829	187	6	.	.	PUNCT
fumecheng-12829	188	1	kβ	kβ	PROPN
fumecheng-12829	189	1	k	k	PROPN
fumecheng-12829	189	2	β	β	X
fumecheng-12829	189	3	k	k	PROPN
fumecheng-12829	189	4	k	k	X
fumecheng-12829	189	5	β	β	X
fumecheng-12829	189	6	β	β	X
fumecheng-12829	189	7	k	k	PROPN
fumecheng-12829	190	1	k	k	PROPN
fumecheng-12829	191	1	k	k	PROPN
fumecheng-12829	192	1	k	k	PROPN
fumecheng-12829	193	1	k	k	PROPN
fumecheng-12829	194	1	a	a	DET
fumecheng-12829	194	2	b	b	X
fumecheng-12829	194	3	k	k	NOUN
fumecheng-12829	194	4	c	c	NOUN
fumecheng-12829	194	5	c	c	PROPN
fumecheng-12829	194	6			PROPN
fumecheng-12829	194	7			PROPN
fumecheng-12829	194	8			NOUN
fumecheng-12829	195	1	=	=	PUNCT
fumecheng-12829	196	1	=	=	PUNCT
fumecheng-12829	196	2	+	+	ADJ
fumecheng-12829	196	3			NUM
fumecheng-12829	196	4	=	=	NOUN
fumecheng-12829	196	5			NUM
fumecheng-12829	196	6	=	=	PUNCT
fumecheng-12829	197	1	=	=	PRON
fumecheng-12829	197	2			PROPN
fumecheng-12829	197	3	a	a	PRON
fumecheng-12829	197	4	a	a	DET
fumecheng-12829	197	5	a	a	PROPN
fumecheng-12829	197	6	d	d	NOUN
fumecheng-12829	197	7	a	a	PROPN
fumecheng-12829	197	8	d	d	NOUN
fumecheng-12829	197	9	a	a	PROPN
fumecheng-12829	197	10	d	d	X
fumecheng-12829	197	11	d	d	X
fumecheng-12829	197	12	d	d	PROPN
fumecheng-12829	197	13	(	(	PUNCT
fumecheng-12829	197	14	13	13	NUM
fumecheng-12829	197	15	)	)	PUNCT
fumecheng-12829	197	16	for	for	ADP
fumecheng-12829	197	17	later	later	ADJ
fumecheng-12829	197	18	use	use	NOUN
fumecheng-12829	197	19	,	,	PUNCT
fumecheng-12829	197	20	geometrical	geometrical	ADJ
fumecheng-12829	197	21	variables	variable	NOUN
fumecheng-12829	197	22	are	be	AUX
fumecheng-12829	197	23	also	also	ADV
fumecheng-12829	197	24	added	add	VERB
fumecheng-12829	197	25	in	in	ADP
fumecheng-12829	197	26	the	the	DET
fumecheng-12829	197	27	initial	initial	ADJ
fumecheng-12829	197	28	state	state	NOUN
fumecheng-12829	197	29	c0	c0	NOUN
fumecheng-12829	197	30	as	as	ADP
fumecheng-12829	197	31	:	:	PUNCT
fumecheng-12829	197	32	1	1	NUM
fumecheng-12829	197	33	2	2	NUM
fumecheng-12829	197	34	1	1	NUM
fumecheng-12829	197	35	2d	2d	NUM
fumecheng-12829	197	36	d	d	NOUN
fumecheng-12829	197	37	,	,	PUNCT
fumecheng-12829	197	38	,	,	PUNCT
fumecheng-12829	197	39	d	d	PROPN
fumecheng-12829	197	40	d	d	X
fumecheng-12829	197	41	dξ	dξ	PROPN
fumecheng-12829	197	42	ξa	ξa	INTJ
fumecheng-12829	197	43	a	a	DET
fumecheng-12829	197	44	a	a	DET
fumecheng-12829	197	45	a	a	DET
fumecheng-12829	197	46	a	a	DET
fumecheng-12829	197	47	ξ	ξ	PROPN
fumecheng-12829	197	48	ξ=	ξ=	NOUN
fumecheng-12829	197	49	=	=	SYM
fumecheng-12829	197	50			PROPN
fumecheng-12829	197	51	=	=	PRON
fumecheng-12829	197	52	a	a	DET
fumecheng-12829	197	53	a	a	DET
fumecheng-12829	197	54	(	(	PUNCT
fumecheng-12829	197	55	14	14	NUM
fumecheng-12829	197	56	)	)	PUNCT
fumecheng-12829	197	57	836	836	NUM
fumecheng-12829	197	58	h.	h.	NOUN
fumecheng-12829	197	59	mallek	mallek	PROPN
fumecheng-12829	197	60	,	,	PUNCT
fumecheng-12829	197	61	h.	h.	PROPN
fumecheng-12829	197	62	mellouli	mellouli	PROPN
fumecheng-12829	197	63	,	,	PUNCT
fumecheng-12829	197	64	l.	l.	PROPN
fumecheng-12829	197	65	ben	ben	PROPN
fumecheng-12829	197	66	said	say	VERB
fumecheng-12829	197	67	,	,	PUNCT
fumecheng-12829	197	68	m.	m.	PROPN
fumecheng-12829	197	69	wali	wali	PROPN
fumecheng-12829	197	70	,	,	PUNCT
fumecheng-12829	197	71	f.	f.	PROPN
fumecheng-12829	197	72	dammak	dammak	PROPN
fumecheng-12829	197	73	,	,	PUNCT
fumecheng-12829	197	74	m.	m.	NOUN
fumecheng-12829	197	75	alhadri	alhadri	PROPN
fumecheng-12829	197	76	2.2.2	2.2.2	NUM
fumecheng-12829	197	77	.	.	PUNCT
fumecheng-12829	198	1	green	green	ADJ
fumecheng-12829	198	2	compatible	compatible	ADJ
fumecheng-12829	198	3	strain	strain	NOUN
fumecheng-12829	198	4	tensor	tensor	NOUN
fumecheng-12829	198	5	a	a	DET
fumecheng-12829	198	6	suitable	suitable	ADJ
fumecheng-12829	198	7	strain	strain	NOUN
fumecheng-12829	198	8	measure	measure	NOUN
fumecheng-12829	198	9	,	,	PUNCT
fumecheng-12829	198	10	accommodating	accommodate	VERB
fumecheng-12829	198	11	arbitrarily	arbitrarily	ADV
fumecheng-12829	198	12	large	large	ADJ
fumecheng-12829	198	13	rotations	rotation	NOUN
fumecheng-12829	198	14	and	and	CCONJ
fumecheng-12829	198	15	displacements	displacement	NOUN
fumecheng-12829	198	16	,	,	PUNCT
fumecheng-12829	198	17	is	be	AUX
fumecheng-12829	198	18	provided	provide	VERB
fumecheng-12829	198	19	by	by	ADP
fumecheng-12829	198	20	the	the	DET
fumecheng-12829	198	21	green	green	ADJ
fumecheng-12829	198	22	compatible	compatible	ADJ
fumecheng-12829	198	23	strain	strain	NOUN
fumecheng-12829	198	24	tensor	tensor	NOUN
fumecheng-12829	198	25	𝑬𝑐	𝑬𝑐	PROPN
fumecheng-12829	198	26	,	,	PUNCT
fumecheng-12829	198	27	given	give	VERB
fumecheng-12829	198	28	as	as	ADP
fumecheng-12829	198	29	:	:	PUNCT
fumecheng-12829	198	30	(	(	PUNCT
fumecheng-12829	198	31	)	)	PUNCT
fumecheng-12829	198	32	2	2	NUM
fumecheng-12829	198	33	c	c	NOUN
fumecheng-12829	198	34	0	0	NUM
fumecheng-12829	198	35	1	1	NUM
fumecheng-12829	198	36	ij	ij	NOUN
fumecheng-12829	198	37	ij	ij	NOUN
fumecheng-12829	198	38	3	3	NUM
fumecheng-12829	198	39	c	c	NOUN
fumecheng-12829	198	40	2	2	NUM
fumecheng-12829	198	41	33	33	NUM
fumecheng-12829	198	42	33	33	NUM
fumecheng-12829	198	43	ˆ	ˆ	NOUN
fumecheng-12829	198	44	(	(	PUNCT
fumecheng-12829	198	45	)	)	PUNCT
fumecheng-12829	198	46	1	1	NUM
fumecheng-12829	198	47	1	1	NUM
fumecheng-12829	198	48	ˆ	ˆ	NOUN
fumecheng-12829	198	49	(	(	PUNCT
fumecheng-12829	198	50	)	)	PUNCT
fumecheng-12829	198	51	,	,	PUNCT
fumecheng-12829	198	52	(	(	PUNCT
fumecheng-12829	198	53	)	)	PUNCT
fumecheng-12829	198	54	,	,	PUNCT
fumecheng-12829	198	55	2	2	NUM
fumecheng-12829	198	56	+	+	NOUN
fumecheng-12829	198	57	z	z	NOUN
fumecheng-12829	198	58	,	,	PUNCT
fumecheng-12829	198	59	,	,	PUNCT
fumecheng-12829	198	60	1,2	1,2	NUM
fumecheng-12829	198	61	2	2	NUM
fumecheng-12829	198	62	2	2	NUM
fumecheng-12829	198	63	(	(	PUNCT
fumecheng-12829	198	64	1	1	NUM
fumecheng-12829	198	65	)	)	SYM
fumecheng-12829	198	66	1	1	NUM
fumecheng-12829	198	67	/	/	SYM
fumecheng-12829	198	68	2	2	NUM
fumecheng-12829	198	69	c	c	NOUN
fumecheng-12829	198	70	kβ	kβ	INTJ
fumecheng-12829	198	71	kβ	kβ	INTJ
fumecheng-12829	199	1	k	k	NOUN
fumecheng-12829	199	2	c	c	NOUN
fumecheng-12829	199	3	c	c	NOUN
fumecheng-12829	200	1	ij	ij	INTJ
fumecheng-12829	200	2	k	k	PROPN
fumecheng-12829	200	3	k	k	PROPN
fumecheng-12829	200	4	k	k	PROPN
fumecheng-12829	200	5	e	e	X
fumecheng-12829	200	6	e	e	X
fumecheng-12829	200	7	zχ	zχ	X
fumecheng-12829	200	8	o	o	NOUN
fumecheng-12829	200	9	z	z	PROPN
fumecheng-12829	200	10	e	e	NOUN
fumecheng-12829	200	11	g	g	NOUN
fumecheng-12829	200	12	g	g	PROPN
fumecheng-12829	200	13	e	e	X
fumecheng-12829	200	14	k	k	PROPN
fumecheng-12829	200	15	e	e	PROPN
fumecheng-12829	200	16	e	e	PROPN
fumecheng-12829	200	17			PROPN
fumecheng-12829	200	18			NUM
fumecheng-12829	200	19			PROPN
fumecheng-12829	200	20			PROPN
fumecheng-12829	200	21			ADJ
fumecheng-12829	200	22			NOUN
fumecheng-12829	200	23	=	=	PUNCT
fumecheng-12829	201	1	+	+	PUNCT
fumecheng-12829	201	2	+	+	X
fumecheng-12829	201	3			NOUN
fumecheng-12829	201	4	=	=	SYM
fumecheng-12829	201	5	−	−	NOUN
fumecheng-12829	202	1	=	=	SYM
fumecheng-12829	203	1	−	−	PROPN
fumecheng-12829	204	1	=	=	PUNCT
fumecheng-12829	205	1	=	=	NOUN
fumecheng-12829	205	2			NUM
fumecheng-12829	205	3			NUM
fumecheng-12829	205	4	=	=	NOUN
fumecheng-12829	205	5	=	=	SYM
fumecheng-12829	205	6	−	−	NOUN
fumecheng-12829	205	7	−	−	NUM
fumecheng-12829	205	8	e	e	NOUN
fumecheng-12829	205	9	g	g	PROPN
fumecheng-12829	205	10	g	g	PROPN
fumecheng-12829	205	11	(	(	PUNCT
fumecheng-12829	205	12	15	15	NUM
fumecheng-12829	205	13	)	)	PUNCT
fumecheng-12829	205	14	the	the	DET
fumecheng-12829	205	15	components	component	NOUN
fumecheng-12829	205	16	of	of	ADP
fumecheng-12829	205	17	strain	strain	ADJ
fumecheng-12829	205	18	field	field	NOUN
fumecheng-12829	205	19	,	,	PUNCT
fumecheng-12829	205	20	including	include	VERB
fumecheng-12829	205	21	membrane	membrane	NOUN
fumecheng-12829	205	22	𝑒𝑘𝛽	𝑒𝑘𝛽	NOUN
fumecheng-12829	205	23	,	,	PUNCT
fumecheng-12829	205	24	transverse	transverse	VERB
fumecheng-12829	205	25	normal	normal	ADJ
fumecheng-12829	205	26	𝑒33	𝑒33	NOUN
fumecheng-12829	205	27	,	,	PUNCT
fumecheng-12829	205	28	bending	bend	VERB
fumecheng-12829	205	29	𝜒𝑘𝛽	𝜒𝑘𝛽	NOUN
fumecheng-12829	205	30	and	and	CCONJ
fumecheng-12829	205	31	shear	shear	NOUN
fumecheng-12829	205	32	(	(	PUNCT
fumecheng-12829	205	33	𝛾𝛼	𝛾𝛼	X
fumecheng-12829	205	34	0	0	NUM
fumecheng-12829	205	35	,	,	PUNCT
fumecheng-12829	205	36	𝛾𝛼	𝛾𝛼	X
fumecheng-12829	205	37	1	1	NUM
fumecheng-12829	205	38	)	)	PUNCT
fumecheng-12829	205	39	strains	strain	NOUN
fumecheng-12829	205	40	,	,	PUNCT
fumecheng-12829	205	41	are	be	AUX
fumecheng-12829	205	42	defined	define	VERB
fumecheng-12829	205	43	as	as	ADP
fumecheng-12829	205	44	energetically	energetically	ADV
fumecheng-12829	205	45	conjugate	conjugate	ADJ
fumecheng-12829	205	46	parts	part	NOUN
fumecheng-12829	205	47	to	to	ADP
fumecheng-12829	205	48	the	the	DET
fumecheng-12829	205	49	kinematic	kinematic	ADJ
fumecheng-12829	205	50	variables	variable	NOUN
fumecheng-12829	205	51	.	.	PUNCT
fumecheng-12829	206	1	0	0	NUM
fumecheng-12829	206	2	0	0	NUM
fumecheng-12829	206	3	0	0	NUM
fumecheng-12829	206	4	1	1	NUM
fumecheng-12829	206	5	,	,	PUNCT
fumecheng-12829	206	6	(	(	PUNCT
fumecheng-12829	206	7	)	)	PUNCT
fumecheng-12829	206	8	/	/	SYM
fumecheng-12829	206	9	2	2	NUM
fumecheng-12829	206	10	,	,	PUNCT
fumecheng-12829	206	11	(	(	PUNCT
fumecheng-12829	206	12	)	)	PUNCT
fumecheng-12829	206	13	/	/	SYM
fumecheng-12829	206	14	2	2	NUM
fumecheng-12829	207	1	,	,	PUNCT
fumecheng-12829	207	2	,	,	PUNCT
fumecheng-12829	207	3	1,2	1,2	NUM
fumecheng-12829	207	4	,	,	PUNCT
fumecheng-12829	207	5	(	(	PUNCT
fumecheng-12829	207	6	1	1	X
fumecheng-12829	207	7	)	)	PUNCT
fumecheng-12829	207	8	kβ	kβ	INTJ
fumecheng-12829	207	9	kβ	kβ	INTJ
fumecheng-12829	207	10	kβ	kβ	INTJ
fumecheng-12829	208	1	k	k	PROPN
fumecheng-12829	208	2	k	k	PROPN
fumecheng-12829	209	1	k	k	PROPN
fumecheng-12829	210	1	k	k	PROPN
fumecheng-12829	211	1	k	k	PROPN
fumecheng-12829	212	1	k	k	PROPN
fumecheng-12829	212	2	k	k	PROPN
fumecheng-12829	213	1	k	k	PROPN
fumecheng-12829	213	2	e	e	PROPN
fumecheng-12829	213	3	a	a	DET
fumecheng-12829	213	4	a	a	DET
fumecheng-12829	213	5	χ	χ	PROPN
fumecheng-12829	213	6	b	b	PROPN
fumecheng-12829	213	7	b	b	X
fumecheng-12829	213	8	k	k	PROPN
fumecheng-12829	213	9	γ	γ	X
fumecheng-12829	213	10	c	c	PROPN
fumecheng-12829	213	11	c	c	PROPN
fumecheng-12829	213	12	γ	γ	PROPN
fumecheng-12829	213	13			PROPN
fumecheng-12829	213	14			PROPN
fumecheng-12829	213	15			PROPN
fumecheng-12829	213	16			PROPN
fumecheng-12829	213	17			ADJ
fumecheng-12829	213	18			ADJ
fumecheng-12829	213	19			NOUN
fumecheng-12829	213	20	=	=	PUNCT
fumecheng-12829	213	21	−	−	NOUN
fumecheng-12829	214	1	=	=	PUNCT
fumecheng-12829	214	2	−	−	NOUN
fumecheng-12829	214	3	=	=	PUNCT
fumecheng-12829	214	4			NUM
fumecheng-12829	214	5	=	=	SYM
fumecheng-12829	214	6	−	−	PROPN
fumecheng-12829	214	7	=	=	SYM
fumecheng-12829	214	8	−	−	PROPN
fumecheng-12829	214	9	(	(	PUNCT
fumecheng-12829	214	10	16	16	NUM
fumecheng-12829	214	11	)	)	PUNCT
fumecheng-12829	214	12	by	by	ADP
fumecheng-12829	214	13	utilizing	utilize	VERB
fumecheng-12829	214	14	these	these	DET
fumecheng-12829	214	15	relations	relation	NOUN
fumecheng-12829	214	16	,	,	PUNCT
fumecheng-12829	214	17	the	the	DET
fumecheng-12829	214	18	variation	variation	NOUN
fumecheng-12829	214	19	of	of	ADP
fumecheng-12829	214	20	the	the	DET
fumecheng-12829	214	21	corresponding	correspond	VERB
fumecheng-12829	214	22	strains	strain	NOUN
fumecheng-12829	214	23	can	can	AUX
fumecheng-12829	214	24	be	be	AUX
fumecheng-12829	214	25	evaluated	evaluate	VERB
fumecheng-12829	214	26	as	as	ADP
fumecheng-12829	214	27	:	:	PUNCT
fumecheng-12829	214	28	,	,	PUNCT
fumecheng-12829	214	29	,	,	PUNCT
fumecheng-12829	214	30	33	33	NUM
fumecheng-12829	214	31	,	,	PUNCT
fumecheng-12829	214	32	,	,	PUNCT
fumecheng-12829	214	33	,	,	PUNCT
fumecheng-12829	214	34	,	,	PUNCT
fumecheng-12829	214	35	,	,	PUNCT
fumecheng-12829	214	36	,	,	PUNCT
fumecheng-12829	214	37	0	0	NUM
fumecheng-12829	214	38	1	1	NUM
fumecheng-12829	214	39	,	,	PUNCT
fumecheng-12829	214	40	,	,	PUNCT
fumecheng-12829	214	41	,	,	PUNCT
fumecheng-12829	214	42	(	(	PUNCT
fumecheng-12829	214	43	.	.	PUNCT
fumecheng-12829	214	44	.	.	PUNCT
fumecheng-12829	214	45	)	)	PUNCT
fumecheng-12829	215	1	/	/	SYM
fumecheng-12829	215	2	2	2	NUM
fumecheng-12829	215	3	,	,	PUNCT
fumecheng-12829	215	4	(	(	PUNCT
fumecheng-12829	215	5	1	1	NUM
fumecheng-12829	215	6	)	)	PUNCT
fumecheng-12829	215	7	(	(	PUNCT
fumecheng-12829	215	8	.	.	PUNCT
fumecheng-12829	215	9	.	.	PUNCT
fumecheng-12829	215	10	.	.	PUNCT
fumecheng-12829	215	11	.	.	PUNCT
fumecheng-12829	215	12	)	)	PUNCT
fumecheng-12829	216	1	/	/	SYM
fumecheng-12829	216	2	2	2	NUM
fumecheng-12829	216	3	,	,	PUNCT
fumecheng-12829	216	4	,	,	PUNCT
fumecheng-12829	216	5	1,2	1,2	NUM
fumecheng-12829	216	6	.	.	PUNCT
fumecheng-12829	216	7	.	.	PUNCT
fumecheng-12829	217	1	,	,	PUNCT
fumecheng-12829	217	2	(	(	PUNCT
fumecheng-12829	217	3	1	1	X
fumecheng-12829	217	4	)	)	PUNCT
fumecheng-12829	217	5	kβ	kβ	ADP
fumecheng-12829	217	6	k	k	PROPN
fumecheng-12829	217	7	β	β	X
fumecheng-12829	217	8	β	β	X
fumecheng-12829	217	9	k	k	PROPN
fumecheng-12829	217	10	k	k	PROPN
fumecheng-12829	217	11	k	k	PROPN
fumecheng-12829	217	12	β	β	X
fumecheng-12829	217	13	β	β	X
fumecheng-12829	217	14	k	k	X
fumecheng-12829	217	15	k	k	X
fumecheng-12829	217	16	β	β	X
fumecheng-12829	217	17	β	β	X
fumecheng-12829	217	18	k	k	PROPN
fumecheng-12829	217	19	k	k	PROPN
fumecheng-12829	217	20	k	k	PROPN
fumecheng-12829	217	21	k	k	PROPN
fumecheng-12829	217	22	k	k	PROPN
fumecheng-12829	217	23	k	k	PROPN
fumecheng-12829	217	24	k	k	PROPN
fumecheng-12829	217	25	δe	δe	ADP
fumecheng-12829	217	26	δ	δ	PROPN
fumecheng-12829	217	27	δ	δ	PROPN
fumecheng-12829	217	28	δe	δe	NOUN
fumecheng-12829	217	29	δχ	δχ	ADV
fumecheng-12829	217	30	δ	δ	PROPN
fumecheng-12829	217	31	δ	δ	PROPN
fumecheng-12829	217	32	k	k	PROPN
fumecheng-12829	217	33	δγ	δγ	PROPN
fumecheng-12829	217	34	δ	δ	PROPN
fumecheng-12829	217	35	δ	δ	PROPN
fumecheng-12829	217	36	δγ	δγ	PROPN
fumecheng-12829	217	37			PROPN
fumecheng-12829	217	38			X
fumecheng-12829	217	39			NUM
fumecheng-12829	217	40			NUM
fumecheng-12829	217	41			PROPN
fumecheng-12829	217	42			PROPN
fumecheng-12829	217	43			X
fumecheng-12829	217	44			NUM
fumecheng-12829	217	45			X
fumecheng-12829	217	46			NOUN
fumecheng-12829	217	47			NOUN
fumecheng-12829	217	48	=	=	PUNCT
fumecheng-12829	218	1	+	+	CCONJ
fumecheng-12829	218	2	=	=	SYM
fumecheng-12829	218	3	−	−	PROPN
fumecheng-12829	218	4			NUM
fumecheng-12829	218	5	=	=	SYM
fumecheng-12829	218	6	+	+	PUNCT
fumecheng-12829	218	7	+	+	CCONJ
fumecheng-12829	218	8	+	+	CCONJ
fumecheng-12829	218	9	=	=	NOUN
fumecheng-12829	218	10			NUM
fumecheng-12829	218	11			NUM
fumecheng-12829	218	12	=	=	SYM
fumecheng-12829	218	13	+	+	PUNCT
fumecheng-12829	218	14	=	=	SYM
fumecheng-12829	219	1	+	+	CCONJ
fumecheng-12829	219	2	−	−	VERB
fumecheng-12829	219	3	a	a	DET
fumecheng-12829	219	4	x	x	NOUN
fumecheng-12829	219	5	a	a	DET
fumecheng-12829	219	6	x	x	SYM
fumecheng-12829	219	7	a	a	DET
fumecheng-12829	219	8	d	d	NOUN
fumecheng-12829	219	9	a	a	X
fumecheng-12829	219	10	d	d	X
fumecheng-12829	219	11	x	x	SYM
fumecheng-12829	219	12	d	d	NOUN
fumecheng-12829	219	13	x	x	X
fumecheng-12829	219	14	d	d	NOUN
fumecheng-12829	219	15	a	a	X
fumecheng-12829	219	16	d	d	X
fumecheng-12829	219	17	x	x	SYM
fumecheng-12829	219	18	d	d	X
fumecheng-12829	219	19	(	(	PUNCT
fumecheng-12829	219	20	17	17	NUM
fumecheng-12829	219	21	)	)	PUNCT
fumecheng-12829	219	22	whereby	whereby	ADV
fumecheng-12829	219	23	,	,	PUNCT
fumecheng-12829	219	24	the	the	DET
fumecheng-12829	219	25	variation	variation	NOUN
fumecheng-12829	219	26	of	of	ADP
fumecheng-12829	219	27	the	the	DET
fumecheng-12829	219	28	extensible	extensible	ADJ
fumecheng-12829	219	29	shell	shell	NOUN
fumecheng-12829	219	30	director	director	NOUN
fumecheng-12829	219	31	is	be	AUX
fumecheng-12829	219	32	computed	compute	VERB
fumecheng-12829	219	33	as	as	SCONJ
fumecheng-12829	219	34	follows	follow	VERB
fumecheng-12829	219	35	:	:	PUNCT
fumecheng-12829	219	36	,	,	PUNCT
fumecheng-12829	219	37	,	,	PUNCT
fumecheng-12829	219	38	,	,	PUNCT
fumecheng-12829	219	39	,	,	PUNCT
fumecheng-12829	219	40	,	,	PUNCT
fumecheng-12829	219	41	(	(	PUNCT
fumecheng-12829	219	42	1	1	NUM
fumecheng-12829	219	43	)	)	PUNCT
fumecheng-12829	219	44	,	,	PUNCT
fumecheng-12829	220	1	(	(	PUNCT
fumecheng-12829	220	2	1	1	X
fumecheng-12829	220	3	)	)	PUNCT
fumecheng-12829	220	4	k	k	NOUN
fumecheng-12829	221	1	k	k	PROPN
fumecheng-12829	221	2	k	k	PROPN
fumecheng-12829	221	3	k	k	PROPN
fumecheng-12829	221	4	k	k	PROPN
fumecheng-12829	221	5			ADJ
fumecheng-12829	221	6			PROPN
fumecheng-12829	221	7			NUM
fumecheng-12829	221	8			NUM
fumecheng-12829	221	9			ADJ
fumecheng-12829	221	10			PROPN
fumecheng-12829	221	11			NUM
fumecheng-12829	221	12			ADJ
fumecheng-12829	221	13			PROPN
fumecheng-12829	221	14	=	=	PROPN
fumecheng-12829	221	15	−	−	NOUN
fumecheng-12829	221	16	−	−	PROPN
fumecheng-12829	221	17	=	=	SYM
fumecheng-12829	221	18	−	−	PROPN
fumecheng-12829	221	19	−	−	PROPN
fumecheng-12829	221	20	−	−	PROPN
fumecheng-12829	221	21	−d	−d	PROPN
fumecheng-12829	221	22	t	t	PROPN
fumecheng-12829	221	23	t	t	PROPN
fumecheng-12829	221	24	d	d	PROPN
fumecheng-12829	221	25	t	t	PROPN
fumecheng-12829	221	26	t	t	PROPN
fumecheng-12829	221	27	t	t	PROPN
fumecheng-12829	221	28	t	t	PROPN
fumecheng-12829	221	29	(	(	PUNCT
fumecheng-12829	221	30	18	18	NUM
fumecheng-12829	221	31	)	)	PUNCT
fumecheng-12829	221	32	the	the	DET
fumecheng-12829	221	33	cited	cite	VERB
fumecheng-12829	221	34	quantities	quantity	NOUN
fumecheng-12829	221	35	are	be	AUX
fumecheng-12829	221	36	condensed	condense	VERB
fumecheng-12829	221	37	obtaining	obtain	VERB
fumecheng-12829	221	38	the	the	DET
fumecheng-12829	221	39	following	follow	VERB
fumecheng-12829	221	40	matrix	matrix	NOUN
fumecheng-12829	221	41	form	form	NOUN
fumecheng-12829	221	42	:	:	PUNCT
fumecheng-12829	221	43	11	11	NUM
fumecheng-12829	221	44	11	11	NUM
fumecheng-12829	221	45	0	0	NUM
fumecheng-12829	221	46	1	1	NUM
fumecheng-12829	221	47	22	22	NUM
fumecheng-12829	221	48	22	22	NUM
fumecheng-12829	221	49	0	0	NUM
fumecheng-12829	221	50	11	11	NUM
fumecheng-12829	221	51	1	1	NUM
fumecheng-12829	221	52	0	0	NUM
fumecheng-12829	221	53	1	1	NUM
fumecheng-12829	221	54	33	33	NUM
fumecheng-12829	221	55	2	2	NUM
fumecheng-12829	221	56	2	2	NUM
fumecheng-12829	221	57	12	12	NUM
fumecheng-12829	221	58	12	12	NUM
fumecheng-12829	221	59	,	,	PUNCT
fumecheng-12829	221	60	,	,	PUNCT
fumecheng-12829	221	61	,	,	PUNCT
fumecheng-12829	221	62	0	0	NUM
fumecheng-12829	221	63	2	2	NUM
fumecheng-12829	221	64	2	2	NUM
fumecheng-12829	221	65	e	e	NOUN
fumecheng-12829	221	66	e	e	X
fumecheng-12829	221	67	e	e	X
fumecheng-12829	221	68	e	e	NOUN
fumecheng-12829	221	69			NOUN
fumecheng-12829	221	70			VERB
fumecheng-12829	221	71			NUM
fumecheng-12829	221	72			NUM
fumecheng-12829	221	73			NUM
fumecheng-12829	221	74			NUM
fumecheng-12829	221	75			AUX
fumecheng-12829	221	76			PROPN
fumecheng-12829	221	77			ADJ
fumecheng-12829	221	78			PROPN
fumecheng-12829	221	79			ADJ
fumecheng-12829	221	80			NOUN
fumecheng-12829	221	81			PROPN
fumecheng-12829	221	82			NOUN
fumecheng-12829	221	83			NOUN
fumecheng-12829	221	84			PROPN
fumecheng-12829	221	85			INTJ
fumecheng-12829	221	86			PROPN
fumecheng-12829	221	87			ADJ
fumecheng-12829	221	88			NOUN
fumecheng-12829	221	89			NOUN
fumecheng-12829	221	90			NOUN
fumecheng-12829	221	91	=	=	NOUN
fumecheng-12829	221	92	=	=	SYM
fumecheng-12829	221	93	=	=	SYM
fumecheng-12829	222	1	=	=	NOUN
fumecheng-12829	222	2			NOUN
fumecheng-12829	222	3			NOUN
fumecheng-12829	222	4			NOUN
fumecheng-12829	222	5			NOUN
fumecheng-12829	222	6			NOUN
fumecheng-12829	222	7			NOUN
fumecheng-12829	222	8			NOUN
fumecheng-12829	222	9			NOUN
fumecheng-12829	222	10			NOUN
fumecheng-12829	222	11			PROPN
fumecheng-12829	222	12			NOUN
fumecheng-12829	222	13			PROPN
fumecheng-12829	222	14			NOUN
fumecheng-12829	222	15			PROPN
fumecheng-12829	222	16			NOUN
fumecheng-12829	222	17			NOUN
fumecheng-12829	222	18			NOUN
fumecheng-12829	222	19			PROPN
fumecheng-12829	222	20			VERB
fumecheng-12829	222	21			PROPN
fumecheng-12829	222	22	e	e	PROPN
fumecheng-12829	222	23	χ	χ	PROPN
fumecheng-12829	222	24	γ	γ	X
fumecheng-12829	222	25	γ	γ	X
fumecheng-12829	222	26	(	(	PUNCT
fumecheng-12829	222	27	19	19	NUM
fumecheng-12829	222	28	)	)	PUNCT
fumecheng-12829	222	29	next	next	ADV
fumecheng-12829	222	30	,	,	PUNCT
fumecheng-12829	222	31	these	these	DET
fumecheng-12829	222	32	strain	strain	NOUN
fumecheng-12829	222	33	vectors	vector	NOUN
fumecheng-12829	222	34	are	be	AUX
fumecheng-12829	222	35	organized	organize	VERB
fumecheng-12829	222	36	into	into	ADP
fumecheng-12829	222	37	a	a	DET
fumecheng-12829	222	38	generalized	generalized	ADJ
fumecheng-12829	222	39	strain	strain	NOUN
fumecheng-12829	222	40	𝞢𝑐	𝞢𝑐	PROPN
fumecheng-12829	222	41	as	as	SCONJ
fumecheng-12829	222	42	follows	follow	VERB
fumecheng-12829	222	43	:	:	PUNCT
fumecheng-12829	222	44	0	0	NUM
fumecheng-12829	222	45	1	1	NUM
fumecheng-12829	222	46	12	12	NUM
fumecheng-12829	222	47	1	1	NUM
fumecheng-12829	222	48	c	c	NOUN
fumecheng-12829	222	49			NOUN
fumecheng-12829	222	50			PROPN
fumecheng-12829	222	51			ADJ
fumecheng-12829	222	52			NOUN
fumecheng-12829	222	53			PROPN
fumecheng-12829	222	54			NOUN
fumecheng-12829	222	55	=	=	X
fumecheng-12829	222	56			NOUN
fumecheng-12829	222	57			NOUN
fumecheng-12829	222	58			NOUN
fumecheng-12829	222	59			NOUN
fumecheng-12829	222	60			VERB
fumecheng-12829	222	61			PROPN
fumecheng-12829	222	62	e	e	ADP
fumecheng-12829	222	63	χ	χ	PROPN
fumecheng-12829	222	64	σ	σ	PROPN
fumecheng-12829	222	65	γ	γ	PROPN
fumecheng-12829	222	66	γ	γ	X
fumecheng-12829	222	67	(	(	PUNCT
fumecheng-12829	222	68	20	20	NUM
fumecheng-12829	222	69	)	)	PUNCT
fumecheng-12829	222	70	2.2.3	2.2.3	NUM
fumecheng-12829	222	71	.	.	PUNCT
fumecheng-12829	223	1	improved	improve	VERB
fumecheng-12829	223	2	fsdt	fsdt	NOUN
fumecheng-12829	223	3	theory	theory	NOUN
fumecheng-12829	223	4	the	the	DET
fumecheng-12829	223	5	mindlin	mindlin	NOUN
fumecheng-12829	223	6	's	's	PART
fumecheng-12829	223	7	first	first	ADJ
fumecheng-12829	223	8	-	-	PUNCT
fumecheng-12829	223	9	order	order	NOUN
fumecheng-12829	223	10	shear	shear	NOUN
fumecheng-12829	223	11	deformation	deformation	NOUN
fumecheng-12829	223	12	theory	theory	NOUN
fumecheng-12829	223	13	(	(	PUNCT
fumecheng-12829	223	14	fsdt	fsdt	NOUN
fumecheng-12829	223	15	)	)	PUNCT
fumecheng-12829	223	16	is	be	AUX
fumecheng-12829	223	17	based	base	VERB
fumecheng-12829	223	18	on	on	ADP
fumecheng-12829	223	19	the	the	DET
fumecheng-12829	223	20	assumption	assumption	NOUN
fumecheng-12829	223	21	of	of	ADP
fumecheng-12829	223	22	a	a	DET
fumecheng-12829	223	23	linear	linear	ADJ
fumecheng-12829	223	24	shear	shear	NOUN
fumecheng-12829	223	25	strain	strain	NOUN
fumecheng-12829	223	26	distribution	distribution	NOUN
fumecheng-12829	223	27	𝐸𝑘3	𝐸𝑘3	NOUN
fumecheng-12829	223	28	𝑐	𝑐	PROPN
fumecheng-12829	223	29	across	across	ADP
fumecheng-12829	223	30	the	the	DET
fumecheng-12829	223	31	thickness	thickness	NOUN
fumecheng-12829	223	32	of	of	ADP
fumecheng-12829	223	33	the	the	DET
fumecheng-12829	223	34	shell	shell	NOUN
fumecheng-12829	223	35	.	.	PUNCT
fumecheng-12829	224	1	however	however	ADV
fumecheng-12829	224	2	,	,	PUNCT
fumecheng-12829	224	3	it	it	PRON
fumecheng-12829	224	4	is	be	AUX
fumecheng-12829	224	5	well	well	ADJ
fumecheng-12829	224	6	porosity	porosity	NOUN
fumecheng-12829	224	7	effects	effect	NOUN
fumecheng-12829	224	8	on	on	ADP
fumecheng-12829	224	9	nonlinear	nonlinear	ADJ
fumecheng-12829	224	10	static	static	ADJ
fumecheng-12829	224	11	performances	performance	NOUN
fumecheng-12829	224	12	of	of	ADP
fumecheng-12829	224	13	fg	fg	PROPN
fumecheng-12829	224	14	shells	shell	NOUN
fumecheng-12829	224	15	considering	consider	VERB
fumecheng-12829	224	16	thickness	thickness	NOUN
fumecheng-12829	224	17	stretching	stretch	VERB
fumecheng-12829	224	18	837	837	NUM
fumecheng-12829	224	19	established	establish	VERB
fumecheng-12829	224	20	that	that	DET
fumecheng-12829	224	21	shear	shear	NOUN
fumecheng-12829	224	22	strain	strain	NOUN
fumecheng-12829	224	23	follows	follow	VERB
fumecheng-12829	224	24	a	a	DET
fumecheng-12829	224	25	parabolic	parabolic	ADJ
fumecheng-12829	224	26	distribution	distribution	NOUN
fumecheng-12829	224	27	across	across	ADP
fumecheng-12829	224	28	the	the	DET
fumecheng-12829	224	29	thickness	thickness	NOUN
fumecheng-12829	224	30	,	,	PUNCT
fumecheng-12829	224	31	vanishing	vanish	VERB
fumecheng-12829	224	32	at	at	ADP
fumecheng-12829	224	33	the	the	DET
fumecheng-12829	224	34	top	top	ADJ
fumecheng-12829	224	35	and	and	CCONJ
fumecheng-12829	224	36	bottom	bottom	ADJ
fumecheng-12829	224	37	surfaces	surface	NOUN
fumecheng-12829	224	38	of	of	ADP
fumecheng-12829	224	39	the	the	DET
fumecheng-12829	224	40	shell	shell	NOUN
fumecheng-12829	224	41	.	.	PUNCT
fumecheng-12829	225	1	to	to	PART
fumecheng-12829	225	2	correct	correct	VERB
fumecheng-12829	225	3	this	this	DET
fumecheng-12829	225	4	discrepancy	discrepancy	NOUN
fumecheng-12829	225	5	,	,	PUNCT
fumecheng-12829	225	6	several	several	ADJ
fumecheng-12829	225	7	studies	study	NOUN
fumecheng-12829	225	8	have	have	AUX
fumecheng-12829	225	9	introduced	introduce	VERB
fumecheng-12829	225	10	constant	constant	ADJ
fumecheng-12829	225	11	shear	shear	NOUN
fumecheng-12829	225	12	correction	correction	NOUN
fumecheng-12829	225	13	coefficients	coefficient	NOUN
fumecheng-12829	225	14	.	.	PUNCT
fumecheng-12829	226	1	additionally	additionally	ADV
fumecheng-12829	226	2	,	,	PUNCT
fumecheng-12829	226	3	tanov	tanov	NOUN
fumecheng-12829	226	4	and	and	CCONJ
fumecheng-12829	226	5	tabiei	tabiei	NOUN
fumecheng-12829	227	1	[	[	X
fumecheng-12829	227	2	28	28	NUM
fumecheng-12829	227	3	]	]	PUNCT
fumecheng-12829	227	4	incorporated	incorporate	VERB
fumecheng-12829	227	5	a	a	DET
fumecheng-12829	227	6	shear	shear	NOUN
fumecheng-12829	227	7	function	function	NOUN
fumecheng-12829	227	8	in	in	ADP
fumecheng-12829	227	9	the	the	DET
fumecheng-12829	227	10	fsdt	fsdt	NOUN
fumecheng-12829	227	11	formulation	formulation	NOUN
fumecheng-12829	227	12	,	,	PUNCT
fumecheng-12829	227	13	resulting	result	VERB
fumecheng-12829	227	14	in	in	ADP
fumecheng-12829	227	15	a	a	DET
fumecheng-12829	227	16	parabolic	parabolic	ADJ
fumecheng-12829	227	17	distribution	distribution	NOUN
fumecheng-12829	227	18	of	of	ADP
fumecheng-12829	227	19	transverse	transverse	NOUN
fumecheng-12829	227	20	shear	shear	NOUN
fumecheng-12829	227	21	stresses	stress	NOUN
fumecheng-12829	227	22	.	.	PUNCT
fumecheng-12829	228	1	building	build	VERB
fumecheng-12829	228	2	on	on	ADP
fumecheng-12829	228	3	the	the	DET
fumecheng-12829	228	4	work	work	NOUN
fumecheng-12829	228	5	of	of	ADP
fumecheng-12829	228	6	shi	shi	PROPN
fumecheng-12829	228	7	[	[	X
fumecheng-12829	228	8	29	29	NUM
fumecheng-12829	228	9	]	]	PUNCT
fumecheng-12829	228	10	,	,	PUNCT
fumecheng-12829	228	11	the	the	DET
fumecheng-12829	228	12	present	present	ADJ
fumecheng-12829	228	13	study	study	NOUN
fumecheng-12829	228	14	improves	improve	VERB
fumecheng-12829	228	15	the	the	DET
fumecheng-12829	228	16	fsdt	fsdt	NOUN
fumecheng-12829	228	17	theory	theory	NOUN
fumecheng-12829	228	18	by	by	ADP
fumecheng-12829	228	19	assuming	assume	VERB
fumecheng-12829	228	20	a	a	DET
fumecheng-12829	228	21	parabolic	parabolic	ADJ
fumecheng-12829	228	22	shear	shear	NOUN
fumecheng-12829	228	23	strain	strain	NOUN
fumecheng-12829	228	24	distribution	distribution	NOUN
fumecheng-12829	228	25	through	through	ADP
fumecheng-12829	228	26	the	the	DET
fumecheng-12829	228	27	thickness	thickness	NOUN
fumecheng-12829	228	28	,	,	PUNCT
fumecheng-12829	228	29	using	use	VERB
fumecheng-12829	228	30	a	a	DET
fumecheng-12829	228	31	quadratic	quadratic	ADJ
fumecheng-12829	228	32	function	function	NOUN
fumecheng-12829	228	33	f(z	f(z	NOUN
fumecheng-12829	228	34	)	)	PUNCT
fumecheng-12829	228	35	as	as	SCONJ
fumecheng-12829	228	36	detailed	detail	VERB
fumecheng-12829	228	37	in	in	ADP
fumecheng-12829	228	38	the	the	DET
fumecheng-12829	228	39	following	following	NOUN
fumecheng-12829	228	40	:	:	PUNCT
fumecheng-12829	228	41	2	2	NUM
fumecheng-12829	228	42	0	0	NUM
fumecheng-12829	228	43	1	1	NUM
fumecheng-12829	228	44	3	3	NUM
fumecheng-12829	228	45	2	2	NUM
fumecheng-12829	228	46	5	5	NUM
fumecheng-12829	228	47	ˆ2	ˆ2	NOUN
fumecheng-12829	228	48	(	(	PUNCT
fumecheng-12829	228	49	)	)	PUNCT
fumecheng-12829	228	50	(	(	PUNCT
fumecheng-12829	228	51	)	)	PUNCT
fumecheng-12829	228	52	,	,	PUNCT
fumecheng-12829	228	53	(	(	PUNCT
fumecheng-12829	228	54	)	)	PUNCT
fumecheng-12829	228	55	1	1	NUM
fumecheng-12829	228	56	4	4	NUM
fumecheng-12829	228	57	,	,	PUNCT
fumecheng-12829	228	58	1,2	1,2	NUM
fumecheng-12829	228	59	4	4	NUM
fumecheng-12829	228	60	c	c	NOUN
fumecheng-12829	228	61	k	k	NOUN
fumecheng-12829	228	62	z	z	NOUN
fumecheng-12829	228	63	z	z	NOUN
fumecheng-12829	228	64	e	e	NOUN
fumecheng-12829	228	65	f	f	PROPN
fumecheng-12829	229	1	z	z	PROPN
fumecheng-12829	229	2	z	z	PROPN
fumecheng-12829	230	1	f	f	PROPN
fumecheng-12829	230	2	z	z	NOUN
fumecheng-12829	230	3	k	k	PROPN
fumecheng-12829	230	4	h	h	PROPN
fumecheng-12829	230	5			NOUN
fumecheng-12829	230	6			NOUN
fumecheng-12829	230	7	=	=	PUNCT
fumecheng-12829	231	1	+	+	PUNCT
fumecheng-12829	231	2	=	=	SYM
fumecheng-12829	231	3	−	−	PROPN
fumecheng-12829	232	1	=	=	NUM
fumecheng-12829	232	2			PROPN
fumecheng-12829	232	3			PROPN
fumecheng-12829	232	4			PROPN
fumecheng-12829	232	5			PROPN
fumecheng-12829	232	6	γ	γ	X
fumecheng-12829	232	7	γ	γ	X
fumecheng-12829	232	8	(	(	PUNCT
fumecheng-12829	232	9	21	21	NUM
fumecheng-12829	232	10	)	)	PUNCT
fumecheng-12829	232	11	2.3	2.3	NUM
fumecheng-12829	232	12	.	.	PUNCT
fumecheng-12829	233	1	shell	shell	ADJ
fumecheng-12829	233	2	variational	variational	ADJ
fumecheng-12829	233	3	formulation	formulation	NOUN
fumecheng-12829	233	4	the	the	DET
fumecheng-12829	233	5	enhanced	enhance	VERB
fumecheng-12829	233	6	assumed	assume	VERB
fumecheng-12829	233	7	strain	strain	NOUN
fumecheng-12829	233	8	(	(	PUNCT
fumecheng-12829	233	9	eas	ea	NOUN
fumecheng-12829	233	10	)	)	PUNCT
fumecheng-12829	233	11	method	method	NOUN
fumecheng-12829	233	12	is	be	AUX
fumecheng-12829	233	13	employed	employ	VERB
fumecheng-12829	233	14	for	for	ADP
fumecheng-12829	233	15	defining	define	VERB
fumecheng-12829	233	16	the	the	DET
fumecheng-12829	233	17	strain	strain	NOUN
fumecheng-12829	233	18	tensor	tensor	NOUN
fumecheng-12829	233	19	,	,	PUNCT
fumecheng-12829	233	20	aiming	aim	VERB
fumecheng-12829	233	21	to	to	PART
fumecheng-12829	233	22	prevent	prevent	VERB
fumecheng-12829	233	23	numerical	numerical	ADJ
fumecheng-12829	233	24	locking	locking	NOUN
fumecheng-12829	233	25	problems	problem	NOUN
fumecheng-12829	233	26	and	and	CCONJ
fumecheng-12829	233	27	enhance	enhance	VERB
fumecheng-12829	233	28	the	the	DET
fumecheng-12829	233	29	deformation	deformation	NOUN
fumecheng-12829	233	30	gradient	gradient	NOUN
fumecheng-12829	233	31	.	.	PUNCT
fumecheng-12829	234	1	according	accord	VERB
fumecheng-12829	234	2	to	to	ADP
fumecheng-12829	234	3	this	this	DET
fumecheng-12829	234	4	technique	technique	NOUN
fumecheng-12829	234	5	,	,	PUNCT
fumecheng-12829	234	6	the	the	DET
fumecheng-12829	234	7	green	green	ADJ
fumecheng-12829	234	8	strain	strain	NOUN
fumecheng-12829	234	9	field	field	NOUN
fumecheng-12829	234	10	e	e	NOUN
fumecheng-12829	234	11	comprises	comprise	VERB
fumecheng-12829	234	12	the	the	DET
fumecheng-12829	234	13	compatible	compatible	ADJ
fumecheng-12829	234	14	strain	strain	NOUN
fumecheng-12829	234	15	field	field	NOUN
fumecheng-12829	234	16	𝑬𝐶	𝑬𝐶	PROPN
fumecheng-12829	234	17	and	and	CCONJ
fumecheng-12829	234	18	the	the	DET
fumecheng-12829	234	19	enhanced	enhanced	ADJ
fumecheng-12829	234	20	incompatible	incompatible	ADJ
fumecheng-12829	234	21	strain	strain	NOUN
fumecheng-12829	234	22	field	field	NOUN
fumecheng-12829	234	23	�	�	PROPN
fumecheng-12829	234	24	̃	̃	PROPN
fumecheng-12829	234	25	�	�	PROPN
fumecheng-12829	234	26	:	:	PUNCT
fumecheng-12829	234	27	c=	c=	NOUN
fumecheng-12829	234	28	+	+	CCONJ
fumecheng-12829	234	29	e	e	NOUN
fumecheng-12829	234	30	e	e	X
fumecheng-12829	234	31	e	e	X
fumecheng-12829	234	32	(	(	PUNCT
fumecheng-12829	234	33	22	22	NUM
fumecheng-12829	234	34	)	)	PUNCT
fumecheng-12829	234	35	the	the	DET
fumecheng-12829	234	36	eas	eas	NOUN
fumecheng-12829	234	37	formulation	formulation	NOUN
fumecheng-12829	234	38	is	be	AUX
fumecheng-12829	234	39	employed	employ	VERB
fumecheng-12829	234	40	to	to	PART
fumecheng-12829	234	41	represent	represent	VERB
fumecheng-12829	234	42	the	the	DET
fumecheng-12829	234	43	three	three	NUM
fumecheng-12829	234	44	-	-	PUNCT
fumecheng-12829	234	45	dimensional	dimensional	ADJ
fumecheng-12829	234	46	equilibrium	equilibrium	NOUN
fumecheng-12829	234	47	equations	equation	NOUN
fumecheng-12829	234	48	in	in	ADP
fumecheng-12829	234	49	terms	term	NOUN
fumecheng-12829	234	50	of	of	ADP
fumecheng-12829	234	51	three	three	NUM
fumecheng-12829	234	52	independent	independent	ADJ
fumecheng-12829	234	53	variables	variable	NOUN
fumecheng-12829	234	54	:	:	PUNCT
fumecheng-12829	234	55	the	the	DET
fumecheng-12829	234	56	green	green	ADJ
fumecheng-12829	234	57	strain	strain	NOUN
fumecheng-12829	234	58	tensor	tensor	NOUN
fumecheng-12829	234	59	e	e	NOUN
fumecheng-12829	234	60	,	,	PUNCT
fumecheng-12829	234	61	the	the	DET
fumecheng-12829	234	62	2nd	2nd	ADJ
fumecheng-12829	234	63	piolakirchhoff	piolakirchhoff	NOUN
fumecheng-12829	234	64	stress	stress	NOUN
fumecheng-12829	234	65	tensor	tensor	NOUN
fumecheng-12829	234	66	s	s	PROPN
fumecheng-12829	234	67	,	,	PUNCT
fumecheng-12829	234	68	and	and	CCONJ
fumecheng-12829	234	69	the	the	DET
fumecheng-12829	234	70	deformation	deformation	NOUN
fumecheng-12829	234	71	field	field	NOUN
fumecheng-12829	234	72	φ	φ	X
fumecheng-12829	234	73	.	.	PUNCT
fumecheng-12829	235	1	as	as	SCONJ
fumecheng-12829	235	2	demonstrated	demonstrate	VERB
fumecheng-12829	235	3	in	in	ADP
fumecheng-12829	235	4	the	the	DET
fumecheng-12829	235	5	work	work	NOUN
fumecheng-12829	235	6	of	of	ADP
fumecheng-12829	235	7	simo	simo	NOUN
fumecheng-12829	235	8	and	and	CCONJ
fumecheng-12829	235	9	rifai	rifai	VERB
fumecheng-12829	236	1	[	[	X
fumecheng-12829	236	2	20	20	NUM
fumecheng-12829	236	3	]	]	PUNCT
fumecheng-12829	236	4	,	,	PUNCT
fumecheng-12829	236	5	the	the	DET
fumecheng-12829	236	6	following	follow	VERB
fumecheng-12829	236	7	variational	variational	ADJ
fumecheng-12829	236	8	formulation	formulation	NOUN
fumecheng-12829	236	9	is	be	AUX
fumecheng-12829	236	10	articulated	articulate	VERB
fumecheng-12829	236	11	:	:	PUNCT
fumecheng-12829	236	12	int	int	NOUN
fumecheng-12829	236	13	int0	int0	PROPN
fumecheng-12829	236	14	;	;	PUNCT
fumecheng-12829	236	15	:	:	PUNCT
fumecheng-12829	236	16	(	(	PUNCT
fumecheng-12829	236	17	)	)	PUNCT
fumecheng-12829	236	18	c	c	PROPN
fumecheng-12829	236	19	ext	ext	NOUN
fumecheng-12829	236	20	v	v	PROPN
fumecheng-12829	236	21	w	w	PROPN
fumecheng-12829	236	22	w	w	PROPN
fumecheng-12829	236	23	w	w	PROPN
fumecheng-12829	236	24	w	w	PROPN
fumecheng-12829	236	25	dv	dv	PROPN
fumecheng-12829	236	26	=	=	NOUN
fumecheng-12829	236	27	−	−	PUNCT
fumecheng-12829	237	1	=	=	PUNCT
fumecheng-12829	238	1	=	=	PUNCT
fumecheng-12829	238	2	+	+	ADJ
fumecheng-12829	238	3			X
fumecheng-12829	238	4	s	s	PUNCT
fumecheng-12829	239	1	e	e	X
fumecheng-12829	239	2	e	e	X
fumecheng-12829	239	3	(	(	PUNCT
fumecheng-12829	239	4	23	23	NUM
fumecheng-12829	239	5	)	)	PUNCT
fumecheng-12829	239	6	where	where	SCONJ
fumecheng-12829	239	7	𝑊𝑒𝑥𝑡	𝑊𝑒𝑥𝑡	PROPN
fumecheng-12829	239	8	represents	represent	VERB
fumecheng-12829	239	9	the	the	DET
fumecheng-12829	239	10	virtual	virtual	ADJ
fumecheng-12829	239	11	work	work	NOUN
fumecheng-12829	239	12	of	of	ADP
fumecheng-12829	239	13	the	the	DET
fumecheng-12829	239	14	external	external	ADJ
fumecheng-12829	239	15	loading	loading	NOUN
fumecheng-12829	239	16	and	and	CCONJ
fumecheng-12829	239	17	dv	dv	PROPN
fumecheng-12829	239	18	expresses	express	VERB
fumecheng-12829	239	19	the	the	DET
fumecheng-12829	239	20	shell	shell	ADJ
fumecheng-12829	239	21	initial	initial	ADJ
fumecheng-12829	239	22	volume	volume	NOUN
fumecheng-12829	239	23	element	element	NOUN
fumecheng-12829	239	24	.	.	PUNCT
fumecheng-12829	240	1	note	note	VERB
fumecheng-12829	240	2	that	that	SCONJ
fumecheng-12829	240	3	the	the	DET
fumecheng-12829	240	4	stress	stress	NOUN
fumecheng-12829	240	5	tensor	tensor	NOUN
fumecheng-12829	240	6	s	s	NOUN
fumecheng-12829	240	7	is	be	AUX
fumecheng-12829	240	8	considered	consider	VERB
fumecheng-12829	240	9	to	to	PART
fumecheng-12829	240	10	be	be	AUX
fumecheng-12829	240	11	orthogonal	orthogonal	ADJ
fumecheng-12829	240	12	to	to	ADP
fumecheng-12829	240	13	the	the	DET
fumecheng-12829	240	14	enhanced	enhance	VERB
fumecheng-12829	240	15	strain	strain	NOUN
fumecheng-12829	240	16	tensor	tensor	NOUN
fumecheng-12829	240	17	�	�	PROPN
fumecheng-12829	240	18	̃	̃	PROPN
fumecheng-12829	240	19	�	�	PROPN
fumecheng-12829	240	20	over	over	ADP
fumecheng-12829	240	21	the	the	DET
fumecheng-12829	240	22	element	element	NOUN
fumecheng-12829	240	23	as	as	SCONJ
fumecheng-12829	240	24	outlined	outline	VERB
fumecheng-12829	240	25	by	by	ADP
fumecheng-12829	240	26	simo	simo	PROPN
fumecheng-12829	240	27	et	et	PROPN
fumecheng-12829	240	28	al	al	PROPN
fumecheng-12829	240	29	.	.	PUNCT
fumecheng-12829	241	1	[	[	X
fumecheng-12829	241	2	30	30	NUM
fumecheng-12829	241	3	]	]	PUNCT
fumecheng-12829	241	4	.	.	PUNCT
fumecheng-12829	242	1	this	this	DET
fumecheng-12829	242	2	assumption	assumption	NOUN
fumecheng-12829	242	3	of	of	ADP
fumecheng-12829	242	4	orthogonality	orthogonality	NOUN
fumecheng-12829	242	5	is	be	AUX
fumecheng-12829	242	6	expressed	express	VERB
fumecheng-12829	242	7	as	as	ADP
fumecheng-12829	242	8	:	:	PUNCT
fumecheng-12829	242	9	0	0	NUM
fumecheng-12829	242	10	v	v	X
fumecheng-12829	242	11	dv	dv	NOUN
fumecheng-12829	242	12	=	=	NOUN
fumecheng-12829	242	13			X
fumecheng-12829	242	14	e	e	NOUN
fumecheng-12829	242	15	s	s	PART
fumecheng-12829	242	16	(	(	PUNCT
fumecheng-12829	242	17	24	24	NUM
fumecheng-12829	242	18	)	)	PUNCT
fumecheng-12829	242	19	moreover	moreover	ADV
fumecheng-12829	242	20	,	,	PUNCT
fumecheng-12829	242	21	no	no	DET
fumecheng-12829	242	22	additional	additional	ADJ
fumecheng-12829	242	23	shear	shear	NOUN
fumecheng-12829	242	24	enhancement	enhancement	NOUN
fumecheng-12829	242	25	components	component	NOUN
fumecheng-12829	242	26	are	be	AUX
fumecheng-12829	242	27	included	include	VERB
fumecheng-12829	242	28	in	in	ADP
fumecheng-12829	242	29	�	�	PROPN
fumecheng-12829	242	30	̃	̃	PROPN
fumecheng-12829	242	31	�	�	PROPN
fumecheng-12829	242	32	.	.	PUNCT
fumecheng-12829	243	1	thus	thus	ADV
fumecheng-12829	243	2	,	,	PUNCT
fumecheng-12829	243	3	the	the	DET
fumecheng-12829	243	4	internal	internal	ADJ
fumecheng-12829	243	5	virtual	virtual	ADJ
fumecheng-12829	243	6	work	work	NOUN
fumecheng-12829	243	7	,	,	PUNCT
fumecheng-12829	243	8	upon	upon	SCONJ
fumecheng-12829	243	9	integration	integration	NOUN
fumecheng-12829	243	10	across	across	ADP
fumecheng-12829	243	11	the	the	DET
fumecheng-12829	243	12	thickness	thickness	NOUN
fumecheng-12829	243	13	of	of	ADP
fumecheng-12829	243	14	the	the	DET
fumecheng-12829	243	15	shell	shell	NOUN
fumecheng-12829	243	16	,	,	PUNCT
fumecheng-12829	243	17	can	can	AUX
fumecheng-12829	243	18	be	be	AUX
fumecheng-12829	243	19	expressed	express	VERB
fumecheng-12829	243	20	as	as	ADP
fumecheng-12829	243	21	:	:	PUNCT
fumecheng-12829	243	22	(	(	PUNCT
fumecheng-12829	243	23	)	)	PUNCT
fumecheng-12829	243	24	0	0	NUM
fumecheng-12829	243	25	1	1	NUM
fumecheng-12829	243	26	int	int	NOUN
fumecheng-12829	243	27	0	0	NUM
fumecheng-12829	243	28	1	1	NUM
fumecheng-12829	243	29	(	(	PUNCT
fumecheng-12829	243	30	)	)	PUNCT
fumecheng-12829	243	31	(	(	PUNCT
fumecheng-12829	243	32	)	)	PUNCT
fumecheng-12829	243	33	z	z	NOUN
fumecheng-12829	243	34	a	a	DET
fumecheng-12829	243	35	w	w	NOUN
fumecheng-12829	243	36	da	da	NOUN
fumecheng-12829	243	37			NUM
fumecheng-12829	243	38			NUM
fumecheng-12829	243	39			NUM
fumecheng-12829	243	40			NUM
fumecheng-12829	243	41	=	=	NOUN
fumecheng-12829	243	42	+	+	PUNCT
fumecheng-12829	244	1	+	+	PUNCT
fumecheng-12829	244	2	+	+	PUNCT
fumecheng-12829	244	3	+	+	CCONJ
fumecheng-12829	244	4	+	+	ADJ
fumecheng-12829	244	5			X
fumecheng-12829	244	6	n	n	X
fumecheng-12829	244	7	e	e	X
fumecheng-12829	244	8	e	e	X
fumecheng-12829	244	9	m	m	VERB
fumecheng-12829	244	10	χ	χ	PRON
fumecheng-12829	244	11	χ	χ	X
fumecheng-12829	244	12	t	t	PROPN
fumecheng-12829	244	13	γ	γ	PROPN
fumecheng-12829	244	14	t	t	PROPN
fumecheng-12829	244	15	γ	γ	X
fumecheng-12829	244	16	(	(	PUNCT
fumecheng-12829	244	17	25	25	NUM
fumecheng-12829	244	18	)	)	PUNCT
fumecheng-12829	244	19	where	where	SCONJ
fumecheng-12829	244	20	the	the	DET
fumecheng-12829	244	21	terms	term	NOUN
fumecheng-12829	244	22	(	(	PUNCT
fumecheng-12829	244	23	n	n	CCONJ
fumecheng-12829	244	24	,	,	PUNCT
fumecheng-12829	244	25	m	m	PROPN
fumecheng-12829	244	26	,	,	PUNCT
fumecheng-12829	244	27	𝑻𝑘(k=0,1	𝑻𝑘(k=0,1	ADV
fumecheng-12829	244	28	)	)	PUNCT
fumecheng-12829	244	29	)	)	PUNCT
fumecheng-12829	244	30	represent	represent	VERB
fumecheng-12829	244	31	the	the	DET
fumecheng-12829	244	32	membrane	membrane	NOUN
fumecheng-12829	244	33	,	,	PUNCT
fumecheng-12829	244	34	bending	bending	NOUN
fumecheng-12829	244	35	,	,	PUNCT
fumecheng-12829	244	36	and	and	CCONJ
fumecheng-12829	244	37	shear	shear	NOUN
fumecheng-12829	244	38	stress	stress	NOUN
fumecheng-12829	244	39	resultants	resultant	NOUN
fumecheng-12829	244	40	expressed	express	VERB
fumecheng-12829	244	41	in	in	ADP
fumecheng-12829	244	42	vector	vector	NOUN
fumecheng-12829	244	43	form	form	NOUN
fumecheng-12829	244	44	as	as	ADP
fumecheng-12829	244	45	:	:	PUNCT
fumecheng-12829	244	46	11	11	NUM
fumecheng-12829	244	47	11	11	NUM
fumecheng-12829	244	48	1	1	NUM
fumecheng-12829	244	49	122	122	NUM
fumecheng-12829	244	50	22	22	NUM
fumecheng-12829	244	51	0	0	NUM
fumecheng-12829	244	52	1	1	NUM
fumecheng-12829	244	53	0	0	NUM
fumecheng-12829	244	54	12	12	NUM
fumecheng-12829	244	55	233	233	NUM
fumecheng-12829	244	56	33	33	NUM
fumecheng-12829	244	57	0	0	NUM
fumecheng-12829	244	58	1	1	NUM
fumecheng-12829	244	59	12	12	NUM
fumecheng-12829	244	60	12	12	NUM
fumecheng-12829	244	61	n	n	NUM
fumecheng-12829	244	62	m	m	PROPN
fumecheng-12829	244	63	t	t	NOUN
fumecheng-12829	244	64	tn	tn	PROPN
fumecheng-12829	244	65	m	m	PROPN
fumecheng-12829	244	66	,	,	PUNCT
fumecheng-12829	244	67	,	,	PUNCT
fumecheng-12829	244	68	t	t	PROPN
fumecheng-12829	244	69	tn	tn	PROPN
fumecheng-12829	244	70	m	m	PROPN
fumecheng-12829	244	71	n	n	PROPN
fumecheng-12829	244	72	m	m	PROPN
fumecheng-12829	244	73			ADJ
fumecheng-12829	244	74			INTJ
fumecheng-12829	244	75			PROPN
fumecheng-12829	244	76			ADJ
fumecheng-12829	244	77			NOUN
fumecheng-12829	244	78			PROPN
fumecheng-12829	244	79			NOUN
fumecheng-12829	244	80			NOUN
fumecheng-12829	244	81			PROPN
fumecheng-12829	244	82			INTJ
fumecheng-12829	244	83			PROPN
fumecheng-12829	244	84			X
fumecheng-12829	244	85			NOUN
fumecheng-12829	244	86			NOUN
fumecheng-12829	244	87	=	=	X
fumecheng-12829	244	88	=	=	SYM
fumecheng-12829	244	89	=	=	SYM
fumecheng-12829	245	1	=	=	NOUN
fumecheng-12829	245	2			NOUN
fumecheng-12829	245	3			NOUN
fumecheng-12829	245	4			NOUN
fumecheng-12829	245	5			NOUN
fumecheng-12829	245	6			NOUN
fumecheng-12829	245	7			NOUN
fumecheng-12829	245	8			NOUN
fumecheng-12829	245	9			VERB
fumecheng-12829	245	10			PROPN
fumecheng-12829	245	11			PROPN
fumecheng-12829	245	12			NOUN
fumecheng-12829	245	13			PROPN
fumecheng-12829	245	14			NOUN
fumecheng-12829	245	15			NOUN
fumecheng-12829	245	16			NOUN
fumecheng-12829	245	17			NOUN
fumecheng-12829	245	18			NOUN
fumecheng-12829	245	19			PROPN
fumecheng-12829	245	20			PROPN
fumecheng-12829	245	21			VERB
fumecheng-12829	245	22			PROPN
fumecheng-12829	245	23	n	n	CCONJ
fumecheng-12829	245	24	m	m	PROPN
fumecheng-12829	245	25	t	t	PROPN
fumecheng-12829	245	26	t	t	PROPN
fumecheng-12829	245	27	,	,	PUNCT
fumecheng-12829	245	28	(	(	PUNCT
fumecheng-12829	245	29	26	26	NUM
fumecheng-12829	245	30	)	)	PUNCT
fumecheng-12829	245	31	838	838	NUM
fumecheng-12829	245	32	h.	h.	PROPN
fumecheng-12829	245	33	mallek	mallek	PROPN
fumecheng-12829	245	34	,	,	PUNCT
fumecheng-12829	245	35	h.	h.	PROPN
fumecheng-12829	245	36	mellouli	mellouli	PROPN
fumecheng-12829	245	37	,	,	PUNCT
fumecheng-12829	245	38	l.	l.	PROPN
fumecheng-12829	245	39	ben	ben	PROPN
fumecheng-12829	245	40	said	say	VERB
fumecheng-12829	245	41	,	,	PUNCT
fumecheng-12829	245	42	m.	m.	PROPN
fumecheng-12829	245	43	wali	wali	PROPN
fumecheng-12829	245	44	,	,	PUNCT
fumecheng-12829	245	45	f.	f.	PROPN
fumecheng-12829	245	46	dammak	dammak	PROPN
fumecheng-12829	245	47	,	,	PUNCT
fumecheng-12829	245	48	m.	m.	NOUN
fumecheng-12829	245	49	alhadri	alhadri	ADJ
fumecheng-12829	245	50	where	where	SCONJ
fumecheng-12829	245	51	its	its	PRON
fumecheng-12829	245	52	constituents	constituent	NOUN
fumecheng-12829	245	53	are	be	AUX
fumecheng-12829	245	54	defined	define	VERB
fumecheng-12829	245	55	as	as	ADP
fumecheng-12829	245	56	following	follow	VERB
fumecheng-12829	245	57	:	:	PUNCT
fumecheng-12829	246	1	h	h	NOUN
fumecheng-12829	246	2	/2	/2	PROPN
fumecheng-12829	247	1	h	h	NOUN
fumecheng-12829	247	2	/2	/2	NOUN
fumecheng-12829	248	1	33	33	NUM
fumecheng-12829	248	2	33	33	NUM
fumecheng-12829	248	3	-h	-h	NUM
fumecheng-12829	248	4	/2	/2	PUNCT
fumecheng-12829	248	5	-h	-h	PUNCT
fumecheng-12829	248	6	/2	/2	PROPN
fumecheng-12829	248	7	h	h	NOUN
fumecheng-12829	248	8	/2	/2	PROPN
fumecheng-12829	249	1	h	h	NOUN
fumecheng-12829	249	2	/2	/2	NOUN
fumecheng-12829	250	1	33	33	NUM
fumecheng-12829	250	2	33	33	NUM
fumecheng-12829	250	3	-h	-h	NUM
fumecheng-12829	250	4	/2	/2	PUNCT
fumecheng-12829	250	5	-h	-h	PUNCT
fumecheng-12829	250	6	/2	/2	PROPN
fumecheng-12829	250	7	h	h	NOUN
fumecheng-12829	250	8	/2	/2	PROPN
fumecheng-12829	251	1	h	h	NOUN
fumecheng-12829	251	2	/2	/2	NOUN
fumecheng-12829	252	1	0	0	NUM
fumecheng-12829	253	1	1	1	NUM
fumecheng-12829	253	2	-h	-h	NUM
fumecheng-12829	253	3	/2	/2	PUNCT
fumecheng-12829	254	1	-h	-h	PUNCT
fumecheng-12829	254	2	/2	/2	PUNCT
fumecheng-12829	255	1	/	/	SYM
fumecheng-12829	255	2	d	d	NOUN
fumecheng-12829	255	3	,	,	PUNCT
fumecheng-12829	255	4	/	/	SYM
fumecheng-12829	255	5	d	d	PROPN
fumecheng-12829	255	6	ˆˆ	ˆˆ	PROPN
fumecheng-12829	255	7	/	/	SYM
fumecheng-12829	255	8	d	d	PROPN
fumecheng-12829	255	9	,	,	PUNCT
fumecheng-12829	255	10	z	z	PROPN
fumecheng-12829	255	11	d	d	NOUN
fumecheng-12829	255	12	,	,	PUNCT
fumecheng-12829	255	13	,	,	PUNCT
fumecheng-12829	255	14	1,2	1,2	NUM
fumecheng-12829	255	15	ˆ	ˆ	NOUN
fumecheng-12829	255	16	(	(	PUNCT
fumecheng-12829	255	17	)	)	PUNCT
fumecheng-12829	256	1	/	/	SYM
fumecheng-12829	256	2	d	d	NOUN
fumecheng-12829	256	3	,	,	PUNCT
fumecheng-12829	256	4	/	/	SYM
fumecheng-12829	257	1	d	d	NOUN
fumecheng-12829	257	2	kβ	kβ	INTJ
fumecheng-12829	257	3	kβ	kβ	INTJ
fumecheng-12829	258	1	k	k	PROPN
fumecheng-12829	258	2	kβ	kβ	VERB
fumecheng-12829	258	3	k	k	PROPN
fumecheng-12829	258	4	k3	k3	PROPN
fumecheng-12829	258	5	k3	k3	VERB
fumecheng-12829	258	6	n	n	PROPN
fumecheng-12829	258	7	s	s	NOUN
fumecheng-12829	258	8	g	g	PROPN
fumecheng-12829	258	9	a	a	DET
fumecheng-12829	258	10	z	z	NOUN
fumecheng-12829	258	11	n	n	NOUN
fumecheng-12829	258	12	s	s	PROPN
fumecheng-12829	258	13	g	g	PROPN
fumecheng-12829	258	14	a	a	DET
fumecheng-12829	258	15	z	z	NOUN
fumecheng-12829	258	16	m	m	VERB
fumecheng-12829	258	17	zs	zs	PROPN
fumecheng-12829	258	18	g	g	PROPN
fumecheng-12829	258	19	a	a	DET
fumecheng-12829	258	20	z	z	NOUN
fumecheng-12829	258	21	m	m	NOUN
fumecheng-12829	258	22	s	s	PROPN
fumecheng-12829	258	23	z	z	PROPN
fumecheng-12829	258	24	k	k	PROPN
fumecheng-12829	259	1	t	t	PROPN
fumecheng-12829	260	1	f	f	PROPN
fumecheng-12829	261	1	z	z	PROPN
fumecheng-12829	261	2	s	s	PROPN
fumecheng-12829	261	3	g	g	NOUN
fumecheng-12829	261	4	a	a	DET
fumecheng-12829	261	5	z	z	NOUN
fumecheng-12829	261	6	t	t	NOUN
fumecheng-12829	261	7	zs	zs	NOUN
fumecheng-12829	262	1	g	g	PROPN
fumecheng-12829	262	2	a	a	DET
fumecheng-12829	262	3	z	z	NOUN
fumecheng-12829	262	4			NOUN
fumecheng-12829	262	5			NOUN
fumecheng-12829	262	6			NOUN
fumecheng-12829	262	7			NOUN
fumecheng-12829	262	8	=	=	SYM
fumecheng-12829	263	1	=	=	SYM
fumecheng-12829	263	2			NUM
fumecheng-12829	263	3			NOUN
fumecheng-12829	263	4	=	=	SYM
fumecheng-12829	263	5	=	=	SYM
fumecheng-12829	264	1	=	=	NOUN
fumecheng-12829	264	2			NUM
fumecheng-12829	264	3			NUM
fumecheng-12829	264	4			NOUN
fumecheng-12829	264	5	=	=	SYM
fumecheng-12829	264	6	=	=	SYM
fumecheng-12829	264	7			PROPN
fumecheng-12829	264	8			NOUN
fumecheng-12829	264	9			X
fumecheng-12829	265	1			X
fumecheng-12829	265	2			X
fumecheng-12829	266	1			X
fumecheng-12829	266	2			X
fumecheng-12829	266	3	(	(	PUNCT
fumecheng-12829	266	4	27	27	NUM
fumecheng-12829	266	5	)	)	PUNCT
fumecheng-12829	266	6	to	to	PART
fumecheng-12829	266	7	simplify	simplify	VERB
fumecheng-12829	266	8	the	the	DET
fumecheng-12829	266	9	expression	expression	NOUN
fumecheng-12829	266	10	of	of	ADP
fumecheng-12829	266	11	the	the	DET
fumecheng-12829	266	12	internal	internal	ADJ
fumecheng-12829	266	13	work	work	NOUN
fumecheng-12829	266	14	as	as	SCONJ
fumecheng-12829	266	15	shown	show	VERB
fumecheng-12829	266	16	in	in	ADP
fumecheng-12829	266	17	eq	eq	ADP
fumecheng-12829	266	18	.	.	PUNCT
fumecheng-12829	267	1	(	(	PUNCT
fumecheng-12829	267	2	23	23	NUM
fumecheng-12829	267	3	)	)	PUNCT
fumecheng-12829	267	4	,	,	PUNCT
fumecheng-12829	267	5	the	the	DET
fumecheng-12829	267	6	stress	stress	NOUN
fumecheng-12829	267	7	and	and	CCONJ
fumecheng-12829	267	8	strain	strain	NOUN
fumecheng-12829	267	9	resultants	resultant	NOUN
fumecheng-12829	267	10	are	be	AUX
fumecheng-12829	267	11	organized	organize	VERB
fumecheng-12829	267	12	in	in	ADP
fumecheng-12829	267	13	a	a	DET
fumecheng-12829	267	14	generalized	generalized	ADJ
fumecheng-12829	267	15	vector	vector	NOUN
fumecheng-12829	267	16	form	form	NOUN
fumecheng-12829	267	17	,	,	PUNCT
fumecheng-12829	267	18	yielding	yield	VERB
fumecheng-12829	267	19	:	:	PUNCT
fumecheng-12829	267	20	0	0	NUM
fumecheng-12829	267	21	0	0	NUM
fumecheng-12829	267	22	1	1	NUM
fumecheng-12829	267	23	1	1	NUM
fumecheng-12829	267	24	12	12	NUM
fumecheng-12829	267	25	1	1	NUM
fumecheng-12829	267	26	,	,	PUNCT
fumecheng-12829	267	27	,	,	PUNCT
fumecheng-12829	268	1	c	c	PROPN
fumecheng-12829	268	2			NUM
fumecheng-12829	268	3			NUM
fumecheng-12829	268	4			NUM
fumecheng-12829	268	5			NUM
fumecheng-12829	268	6			NUM
fumecheng-12829	268	7			NUM
fumecheng-12829	268	8			PROPN
fumecheng-12829	268	9			NUM
fumecheng-12829	268	10			NOUN
fumecheng-12829	268	11			PROPN
fumecheng-12829	268	12			NOUN
fumecheng-12829	268	13			PROPN
fumecheng-12829	268	14			ADJ
fumecheng-12829	268	15			PROPN
fumecheng-12829	268	16			ADJ
fumecheng-12829	268	17			NOUN
fumecheng-12829	268	18			PROPN
fumecheng-12829	268	19			NOUN
fumecheng-12829	268	20			NOUN
fumecheng-12829	268	21			NOUN
fumecheng-12829	268	22			NOUN
fumecheng-12829	268	23			NOUN
fumecheng-12829	268	24			NOUN
fumecheng-12829	268	25			NOUN
fumecheng-12829	268	26			NOUN
fumecheng-12829	268	27			NOUN
fumecheng-12829	268	28	=	=	NOUN
fumecheng-12829	268	29	=	=	SYM
fumecheng-12829	268	30	=	=	SYM
fumecheng-12829	268	31			NOUN
fumecheng-12829	268	32			NOUN
fumecheng-12829	268	33			NOUN
fumecheng-12829	268	34			NOUN
fumecheng-12829	268	35			NOUN
fumecheng-12829	268	36			NOUN
fumecheng-12829	268	37			NOUN
fumecheng-12829	268	38			NOUN
fumecheng-12829	268	39			NOUN
fumecheng-12829	268	40			NOUN
fumecheng-12829	268	41			NOUN
fumecheng-12829	268	42			NOUN
fumecheng-12829	268	43			NOUN
fumecheng-12829	268	44			PROPN
fumecheng-12829	268	45			VERB
fumecheng-12829	268	46			PROPN
fumecheng-12829	268	47			PROPN
fumecheng-12829	268	48			ADJ
fumecheng-12829	268	49			PROPN
fumecheng-12829	268	50			NOUN
fumecheng-12829	268	51	n	n	PROPN
fumecheng-12829	268	52	e	e	X
fumecheng-12829	268	53	e	e	X
fumecheng-12829	268	54	m	m	VERB
fumecheng-12829	268	55	χ	χ	PRON
fumecheng-12829	268	56	χ	χ	X
fumecheng-12829	268	57	r	r	PROPN
fumecheng-12829	268	58	σ	σ	PROPN
fumecheng-12829	268	59	σ	σ	PROPN
fumecheng-12829	268	60	t	t	PROPN
fumecheng-12829	268	61	γ	γ	X
fumecheng-12829	268	62	0	0	PROPN
fumecheng-12829	268	63	t	t	PROPN
fumecheng-12829	268	64	γ	γ	X
fumecheng-12829	268	65	0	0	NUM
fumecheng-12829	268	66	(	(	PUNCT
fumecheng-12829	268	67	28	28	NUM
fumecheng-12829	268	68	)	)	PUNCT
fumecheng-12829	268	69	thus	thus	ADV
fumecheng-12829	268	70	,	,	PUNCT
fumecheng-12829	268	71	eq	eq	ADJ
fumecheng-12829	268	72	.	.	PUNCT
fumecheng-12829	269	1	(	(	PUNCT
fumecheng-12829	269	2	25	25	NUM
fumecheng-12829	269	3	)	)	PUNCT
fumecheng-12829	269	4	can	can	AUX
fumecheng-12829	269	5	be	be	AUX
fumecheng-12829	269	6	expressed	express	VERB
fumecheng-12829	269	7	as	as	SCONJ
fumecheng-12829	269	8	follows	follow	VERB
fumecheng-12829	269	9	:	:	PUNCT
fumecheng-12829	269	10	(	(	PUNCT
fumecheng-12829	269	11	)	)	PUNCT
fumecheng-12829	270	1	c	c	NOUN
fumecheng-12829	270	2	t	t	PROPN
fumecheng-12829	270	3	int	int	VERB
fumecheng-12829	270	4	a	a	DET
fumecheng-12829	270	5	w	w	NOUN
fumecheng-12829	270	6	da	da	NOUN
fumecheng-12829	270	7	=	=	NOUN
fumecheng-12829	271	1	+	+	NOUN
fumecheng-12829	271	2			NOUN
fumecheng-12829	271	3	σ	σ	NOUN
fumecheng-12829	272	1	σ	σ	NOUN
fumecheng-12829	272	2	r	r	NOUN
fumecheng-12829	272	3	(	(	PUNCT
fumecheng-12829	272	4	29	29	NUM
fumecheng-12829	272	5	)	)	PUNCT
fumecheng-12829	272	6	2.4	2.4	NUM
fumecheng-12829	272	7	.	.	PUNCT
fumecheng-12829	273	1	governing	govern	VERB
fumecheng-12829	273	2	equations	equation	NOUN
fumecheng-12829	273	3	of	of	ADP
fumecheng-12829	273	4	fgp	fgp	PROPN
fumecheng-12829	273	5	shell	shell	VERB
fumecheng-12829	273	6	a	a	DET
fumecheng-12829	273	7	linear	linear	ADJ
fumecheng-12829	273	8	relationship	relationship	NOUN
fumecheng-12829	273	9	is	be	AUX
fumecheng-12829	273	10	assumed	assume	VERB
fumecheng-12829	273	11	between	between	ADP
fumecheng-12829	273	12	the	the	DET
fumecheng-12829	273	13	generalized	generalize	VERB
fumecheng-12829	273	14	stress	stress	NOUN
fumecheng-12829	273	15	resultant	resultant	NOUN
fumecheng-12829	273	16	r	r	NOUN
fumecheng-12829	273	17	and	and	CCONJ
fumecheng-12829	273	18	the	the	DET
fumecheng-12829	273	19	generalized	generalized	ADJ
fumecheng-12829	273	20	strain	strain	NOUN
fumecheng-12829	273	21	𝞢	𝞢	PROPN
fumecheng-12829	273	22	as	as	SCONJ
fumecheng-12829	273	23	follows	follow	VERB
fumecheng-12829	273	24	:	:	PUNCT
fumecheng-12829	273	25	t	t	NOUN
fumecheng-12829	273	26	.=r	.=r	PUNCT
fumecheng-12829	273	27	h	h	PROPN
fumecheng-12829	273	28	σ	σ	PROPN
fumecheng-12829	273	29	(	(	PUNCT
fumecheng-12829	273	30	30	30	NUM
fumecheng-12829	273	31	)	)	PUNCT
fumecheng-12829	273	32	where	where	SCONJ
fumecheng-12829	273	33	𝑯𝑇	𝑯𝑇	PROPN
fumecheng-12829	273	34	represents	represent	VERB
fumecheng-12829	273	35	the	the	DET
fumecheng-12829	273	36	material	material	ADJ
fumecheng-12829	273	37	tangent	tangent	NOUN
fumecheng-12829	273	38	modulus	modulus	NOUN
fumecheng-12829	273	39	,	,	PUNCT
fumecheng-12829	273	40	described	describe	VERB
fumecheng-12829	273	41	in	in	ADP
fumecheng-12829	273	42	terms	term	NOUN
fumecheng-12829	273	43	of	of	ADP
fumecheng-12829	273	44	the	the	DET
fumecheng-12829	273	45	linear	linear	ADJ
fumecheng-12829	273	46	elastic	elastic	ADJ
fumecheng-12829	273	47	in	in	ADP
fumecheng-12829	273	48	-	-	PUNCT
fumecheng-12829	273	49	plane	plane	NOUN
fumecheng-12829	273	50	h	h	NOUN
fumecheng-12829	273	51	and	and	CCONJ
fumecheng-12829	273	52	out	out	ADP
fumecheng-12829	273	53	-	-	PUNCT
fumecheng-12829	273	54	of	of	ADP
fumecheng-12829	273	55	-	-	PUNCT
fumecheng-12829	273	56	plane	plane	NOUN
fumecheng-12829	273	57	𝑯𝜏	𝑯𝜏	ADP
fumecheng-12829	273	58	sub	sub	NOUN
fumecheng-12829	273	59	-	-	NOUN
fumecheng-12829	273	60	matrices	matrix	NOUN
fumecheng-12829	273	61	:	:	PUNCT
fumecheng-12829	273	62	(	(	PUNCT
fumecheng-12829	273	63	)	)	PUNCT
fumecheng-12829	273	64	11	11	NUM
fumecheng-12829	273	65	22	22	NUM
fumecheng-12829	273	66	33	33	NUM
fumecheng-12829	273	67	34	34	NUM
fumecheng-12829	273	68	44	44	NUM
fumecheng-12829	273	69	2	2	NUM
fumecheng-12829	273	70	2	2	NUM
fumecheng-12829	273	71	11	11	NUM
fumecheng-12829	273	72	12	12	NUM
fumecheng-12829	273	73	22	22	NUM
fumecheng-12829	273	74	2	2	NUM
fumecheng-12829	273	75	2	2	NUM
fumecheng-12829	273	76	2	2	NUM
fumecheng-12829	273	77	2	2	NUM
fumecheng-12829	273	78	2	2	NUM
fumecheng-12829	273	79	2	2	NUM
fumecheng-12829	273	80	33	33	NUM
fumecheng-12829	273	81	34	34	NUM
fumecheng-12829	273	82	44	44	NUM
fumecheng-12829	273	83	2	2	NUM
fumecheng-12829	273	84	(	(	PUNCT
fumecheng-12829	273	85	)	)	PUNCT
fumecheng-12829	273	86	(	(	PUNCT
fumecheng-12829	273	87	1	1	X
fumecheng-12829	273	88	)	)	PUNCT
fumecheng-12829	273	89	(	(	PUNCT
fumecheng-12829	273	90	)	)	PUNCT
fumecheng-12829	273	91	(	(	PUNCT
fumecheng-12829	273	92	)	)	PUNCT
fumecheng-12829	273	93	(	(	PUNCT
fumecheng-12829	273	94	)	)	PUNCT
fumecheng-12829	273	95	(	(	PUNCT
fumecheng-12829	273	96	)	)	PUNCT
fumecheng-12829	273	97	t	t	NOUN
fumecheng-12829	273	98	h/	h/	NOUN
fumecheng-12829	273	99	h	h	PROPN
fumecheng-12829	273	100	/	/	SYM
fumecheng-12829	273	101	h	h	NOUN
fumecheng-12829	273	102	/	/	SYM
fumecheng-12829	273	103	h	h	NOUN
fumecheng-12829	273	104	/	/	SYM
fumecheng-12829	273	105	sym	sym	PROPN
fumecheng-12829	273	106	ˆ	ˆ	NOUN
fumecheng-12829	273	107	ˆ	ˆ	PROPN
fumecheng-12829	273	108	,	,	PUNCT
fumecheng-12829	273	109	,	,	PUNCT
fumecheng-12829	273	110	,	,	PUNCT
fumecheng-12829	273	111	z	z	X
fumecheng-12829	273	112	,	,	PUNCT
fumecheng-12829	273	113	z	z	NOUN
fumecheng-12829	273	114	dz	dz	NOUN
fumecheng-12829	273	115	ˆ	ˆ	NOUN
fumecheng-12829	273	116	ˆ	ˆ	PROPN
fumecheng-12829	273	117	,	,	PUNCT
fumecheng-12829	273	118	,	,	PUNCT
fumecheng-12829	273	119	f	f	PROPN
fumecheng-12829	273	120	z	z	PROPN
fumecheng-12829	273	121	,	,	PUNCT
fumecheng-12829	273	122	zf	zf	PROPN
fumecheng-12829	273	123	z	z	PROPN
fumecheng-12829	273	124	,	,	PUNCT
fumecheng-12829	273	125	z	z	PROPN
fumecheng-12829	273	126	f	f	X
fumecheng-12829	273	127	z	z	NOUN
fumecheng-12829	273	128	dz	dz	PROPN
fumecheng-12829	273	129	−	−	PROPN
fumecheng-12829	273	130			PROPN
fumecheng-12829	273	131	−	−	PROPN
fumecheng-12829	273	132			PROPN
fumecheng-12829	273	133			ADJ
fumecheng-12829	273	134			NOUN
fumecheng-12829	273	135			PROPN
fumecheng-12829	273	136			NOUN
fumecheng-12829	273	137	=	=	X
fumecheng-12829	273	138			NOUN
fumecheng-12829	273	139			NOUN
fumecheng-12829	273	140			NOUN
fumecheng-12829	273	141			NOUN
fumecheng-12829	273	142			VERB
fumecheng-12829	273	143			PROPN
fumecheng-12829	273	144			PUNCT
fumecheng-12829	274	1	=	=	SYM
fumecheng-12829	274	2			NOUN
fumecheng-12829	275	1			NOUN
fumecheng-12829	275	2			NUM
fumecheng-12829	275	3	=	=	SYM
fumecheng-12829	275	4			PROPN
fumecheng-12829	275	5			X
fumecheng-12829	276	1			PUNCT
fumecheng-12829	276	2	h	h	NOUN
fumecheng-12829	276	3	0	0	NUM
fumecheng-12829	276	4	0	0	NUM
fumecheng-12829	276	5	0	0	NUM
fumecheng-12829	276	6	h	h	NOUN
fumecheng-12829	276	7	0	0	NUM
fumecheng-12829	276	8	0	0	NUM
fumecheng-12829	277	1	h	h	NOUN
fumecheng-12829	277	2	h	h	NOUN
fumecheng-12829	277	3	h	h	NOUN
fumecheng-12829	277	4	h	h	NOUN
fumecheng-12829	278	1	h	h	NOUN
fumecheng-12829	279	1	h	h	NOUN
fumecheng-12829	280	1	h	h	NOUN
fumecheng-12829	281	1	h	h	NOUN
fumecheng-12829	282	1	h	h	NOUN
fumecheng-12829	283	1	h	h	NOUN
fumecheng-12829	284	1	h	h	NOUN
fumecheng-12829	285	1	h	h	NOUN
fumecheng-12829	285	2	(	(	PUNCT
fumecheng-12829	285	3	31	31	NUM
fumecheng-12829	285	4	)	)	PUNCT
fumecheng-12829	285	5	for	for	ADP
fumecheng-12829	285	6	isotropic	isotropic	ADJ
fumecheng-12829	285	7	materials	material	NOUN
fumecheng-12829	285	8	,	,	PUNCT
fumecheng-12829	285	9	the	the	DET
fumecheng-12829	285	10	matrices	matrix	NOUN
fumecheng-12829	285	11	h	h	NOUN
fumecheng-12829	285	12	and	and	CCONJ
fumecheng-12829	285	13	𝑯𝜏	𝑯𝜏	PROPN
fumecheng-12829	285	14	are	be	AUX
fumecheng-12829	285	15	specified	specify	VERB
fumecheng-12829	285	16	as	as	SCONJ
fumecheng-12829	285	17	follows	follow	VERB
fumecheng-12829	285	18	:	:	PUNCT
fumecheng-12829	285	19	1	1	NUM
fumecheng-12829	285	20	0	0	NUM
fumecheng-12829	285	21	1	1	NUM
fumecheng-12829	285	22	0	0	NUM
fumecheng-12829	285	23	1	1	NUM
fumecheng-12829	285	24	0	0	NUM
fumecheng-12829	285	25	(	(	PUNCT
fumecheng-12829	285	26	)	)	PUNCT
fumecheng-12829	285	27	1	1	NUM
fumecheng-12829	285	28	0	0	NUM
fumecheng-12829	285	29	0	0	NUM
fumecheng-12829	285	30	1(1	1(1	NUM
fumecheng-12829	285	31	)	)	PUNCT
fumecheng-12829	285	32	(	(	PUNCT
fumecheng-12829	285	33	1	1	NUM
fumecheng-12829	285	34	2	2	NUM
fumecheng-12829	285	35	)	)	PUNCT
fumecheng-12829	285	36	2(1	2(1	NUM
fumecheng-12829	285	37	)	)	PUNCT
fumecheng-12829	285	38	0	0	NUM
fumecheng-12829	286	1	0	0	NUM
fumecheng-12829	286	2	0	0	NUM
fumecheng-12829	286	3	1	1	NUM
fumecheng-12829	286	4	2	2	NUM
fumecheng-12829	286	5	)	)	PUNCT
fumecheng-12829	286	6	2	2	NUM
fumecheng-12829	286	7	e	e	NOUN
fumecheng-12829	286	8	z	z	NOUN
fumecheng-12829	286	9	e	e	NOUN
fumecheng-12829	286	10	,	,	PUNCT
fumecheng-12829	286	11	/	/	PUNCT
fumecheng-12829	286	12			NOUN
fumecheng-12829	286	13	−	−	PROPN
fumecheng-12829	286	14			ADJ
fumecheng-12829	286	15			NUM
fumecheng-12829	286	16			NOUN
fumecheng-12829	286	17			NOUN
fumecheng-12829	286	18			PROPN
fumecheng-12829	286	19			NOUN
fumecheng-12829	286	20	−	−	PROPN
fumecheng-12829	286	21			PROPN
fumecheng-12829	286	22			NOUN
fumecheng-12829	287	1			PROPN
fumecheng-12829	287	2			X
fumecheng-12829	287	3	=	=	NOUN
fumecheng-12829	287	4	=	=	SYM
fumecheng-12829	287	5			NOUN
fumecheng-12829	287	6			NOUN
fumecheng-12829	287	7			PUNCT
fumecheng-12829	287	8			NOUN
fumecheng-12829	287	9	−+	−+	NOUN
fumecheng-12829	288	1			NOUN
fumecheng-12829	288	2	−	−	X
fumecheng-12829	289	1			INTJ
fumecheng-12829	290	1	+	+	CCONJ
fumecheng-12829	290	2			ADJ
fumecheng-12829	290	3			NOUN
fumecheng-12829	290	4			PROPN
fumecheng-12829	290	5			NOUN
fumecheng-12829	290	6			NOUN
fumecheng-12829	290	7	−	−	NOUN
fumecheng-12829	290	8			ADJ
fumecheng-12829	290	9			PROPN
fumecheng-12829	290	10	h	h	NOUN
fumecheng-12829	290	11	h	h	NOUN
fumecheng-12829	290	12	(	(	PUNCT
fumecheng-12829	290	13	32	32	NUM
fumecheng-12829	290	14	)	)	PUNCT
fumecheng-12829	290	15	porosity	porosity	NOUN
fumecheng-12829	290	16	effects	effect	NOUN
fumecheng-12829	290	17	on	on	ADP
fumecheng-12829	290	18	nonlinear	nonlinear	ADJ
fumecheng-12829	290	19	static	static	ADJ
fumecheng-12829	290	20	performances	performance	NOUN
fumecheng-12829	290	21	of	of	ADP
fumecheng-12829	290	22	fg	fg	PROPN
fumecheng-12829	290	23	shells	shell	NOUN
fumecheng-12829	290	24	considering	consider	VERB
fumecheng-12829	290	25	thickness	thickness	NOUN
fumecheng-12829	290	26	stretching	stretch	VERB
fumecheng-12829	290	27	839	839	NUM
fumecheng-12829	290	28	2.5	2.5	NUM
fumecheng-12829	290	29	.	.	PUNCT
fumecheng-12829	291	1	fe	fe	PROPN
fumecheng-12829	291	2	modelling	modelling	NOUN
fumecheng-12829	291	3	of	of	ADP
fumecheng-12829	291	4	fgp	fgp	ADJ
fumecheng-12829	291	5	shell	shell	NOUN
fumecheng-12829	291	6	in	in	ADP
fumecheng-12829	291	7	this	this	DET
fumecheng-12829	291	8	section	section	NOUN
fumecheng-12829	291	9	,	,	PUNCT
fumecheng-12829	291	10	the	the	DET
fumecheng-12829	291	11	fe	fe	NOUN
fumecheng-12829	291	12	implementation	implementation	NOUN
fumecheng-12829	291	13	of	of	ADP
fumecheng-12829	291	14	the	the	DET
fumecheng-12829	291	15	current	current	ADJ
fumecheng-12829	291	16	theoretical	theoretical	ADJ
fumecheng-12829	291	17	formulation	formulation	NOUN
fumecheng-12829	291	18	based	base	VERB
fumecheng-12829	291	19	on	on	ADP
fumecheng-12829	291	20	a	a	DET
fumecheng-12829	291	21	nonlinear	nonlinear	ADJ
fumecheng-12829	291	22	four	four	NUM
fumecheng-12829	291	23	-	-	PUNCT
fumecheng-12829	291	24	node	node	ADJ
fumecheng-12829	291	25	shell	shell	NOUN
fumecheng-12829	291	26	element	element	NOUN
fumecheng-12829	291	27	is	be	AUX
fumecheng-12829	291	28	established	establish	VERB
fumecheng-12829	291	29	according	accord	VERB
fumecheng-12829	291	30	to	to	ADP
fumecheng-12829	291	31	the	the	DET
fumecheng-12829	291	32	extensible	extensible	ADJ
fumecheng-12829	291	33	director	director	NOUN
fumecheng-12829	291	34	theory	theory	NOUN
fumecheng-12829	291	35	to	to	PART
fumecheng-12829	291	36	predict	predict	VERB
fumecheng-12829	291	37	the	the	DET
fumecheng-12829	291	38	static	static	ADJ
fumecheng-12829	291	39	fgp	fgp	ADJ
fumecheng-12829	291	40	responses	response	NOUN
fumecheng-12829	291	41	of	of	ADP
fumecheng-12829	291	42	plate	plate	NOUN
fumecheng-12829	291	43	and	and	CCONJ
fumecheng-12829	291	44	shell	shell	ADJ
fumecheng-12829	291	45	structures	structure	NOUN
fumecheng-12829	291	46	.	.	PUNCT
fumecheng-12829	292	1	thus	thus	ADV
fumecheng-12829	292	2	,	,	PUNCT
fumecheng-12829	292	3	the	the	DET
fumecheng-12829	292	4	development	development	NOUN
fumecheng-12829	292	5	of	of	ADP
fumecheng-12829	292	6	an	an	DET
fumecheng-12829	292	7	isoparametric	isoparametric	ADJ
fumecheng-12829	292	8	fe	fe	NOUN
fumecheng-12829	292	9	,	,	PUNCT
fumecheng-12829	292	10	which	which	PRON
fumecheng-12829	292	11	involves	involve	VERB
fumecheng-12829	292	12	rotation	rotation	NOUN
fumecheng-12829	292	13	-	-	PUNCT
fumecheng-12829	292	14	displacement	displacement	ADJ
fumecheng-12829	292	15	-	-	PUNCT
fumecheng-12829	292	16	thickness	thickness	NOUN
fumecheng-12829	292	17	-	-	PUNCT
fumecheng-12829	292	18	stretch	stretch	NOUN
fumecheng-12829	292	19	,	,	PUNCT
fumecheng-12829	292	20	can	can	AUX
fumecheng-12829	292	21	be	be	AUX
fumecheng-12829	292	22	achieved	achieve	VERB
fumecheng-12829	292	23	.	.	PUNCT
fumecheng-12829	293	1	this	this	DET
fumecheng-12829	293	2	extensible	extensible	ADJ
fumecheng-12829	293	3	shell	shell	NOUN
fumecheng-12829	293	4	element	element	NOUN
fumecheng-12829	293	5	according	accord	VERB
fumecheng-12829	293	6	to	to	ADP
fumecheng-12829	293	7	the	the	DET
fumecheng-12829	293	8	director	director	NOUN
fumecheng-12829	293	9	model	model	NOUN
fumecheng-12829	293	10	encompasses	encompass	VERB
fumecheng-12829	293	11	a	a	DET
fumecheng-12829	293	12	total	total	NOUN
fumecheng-12829	293	13	of	of	ADP
fumecheng-12829	293	14	six	six	NUM
fumecheng-12829	293	15	degrees	degree	NOUN
fumecheng-12829	293	16	of	of	ADP
fumecheng-12829	293	17	freedom	freedom	NOUN
fumecheng-12829	293	18	at	at	ADP
fumecheng-12829	293	19	each	each	DET
fumecheng-12829	293	20	node	node	NOUN
fumecheng-12829	293	21	i	i	PRON
fumecheng-12829	293	22	:	:	PUNCT
fumecheng-12829	293	23	including	include	VERB
fumecheng-12829	293	24	3	3	NUM
fumecheng-12829	293	25	displacements	displacement	NOUN
fumecheng-12829	293	26	,	,	PUNCT
fumecheng-12829	293	27	2	2	NUM
fumecheng-12829	293	28	rotational	rotational	ADJ
fumecheng-12829	293	29	degrees	degree	NOUN
fumecheng-12829	293	30	and	and	CCONJ
fumecheng-12829	293	31	the	the	DET
fumecheng-12829	293	32	stretching	stretch	VERB
fumecheng-12829	293	33	parameter	parameter	NOUN
fumecheng-12829	293	34	presented	present	VERB
fumecheng-12829	293	35	in	in	ADP
fumecheng-12829	293	36	the	the	DET
fumecheng-12829	293	37	generalized	generalized	ADJ
fumecheng-12829	293	38	displacement	displacement	NOUN
fumecheng-12829	293	39	vector	vector	NOUN
fumecheng-12829	293	40	as	as	ADP
fumecheng-12829	293	41	𝜱𝑰	𝜱𝑰	PROPN
fumecheng-12829	293	42	=	=	SYM
fumecheng-12829	293	43	(	(	PUNCT
fumecheng-12829	293	44	𝒖𝑰	𝒖𝑰	NOUN
fumecheng-12829	293	45	,	,	PUNCT
fumecheng-12829	293	46	𝒕𝑰	𝒕𝑰	ADV
fumecheng-12829	293	47	,	,	PUNCT
fumecheng-12829	293	48	𝜆𝑰	𝜆𝑰	NOUN
fumecheng-12829	293	49	)	)	PUNCT
fumecheng-12829	293	50	.	.	PUNCT
fumecheng-12829	294	1	the	the	DET
fumecheng-12829	294	2	displacement	displacement	ADJ
fumecheng-12829	294	3	vector	vector	NOUN
fumecheng-12829	294	4	,	,	PUNCT
fumecheng-12829	294	5	written	write	VERB
fumecheng-12829	294	6	in	in	ADP
fumecheng-12829	294	7	the	the	DET
fumecheng-12829	294	8	form	form	NOUN
fumecheng-12829	294	9	u	u	NOUN
fumecheng-12829	294	10	=	=	NOUN
fumecheng-12829	294	11	x	x	NOUN
fumecheng-12829	294	12	-	-	PUNCT
fumecheng-12829	294	13	x	x	X
fumecheng-12829	294	14	and	and	CCONJ
fumecheng-12829	294	15	its	its	PRON
fumecheng-12829	294	16	variation	variation	NOUN
fumecheng-12829	294	17	are	be	AUX
fumecheng-12829	294	18	approximated	approximate	VERB
fumecheng-12829	294	19	using	use	VERB
fumecheng-12829	294	20	the	the	DET
fumecheng-12829	294	21	standard	standard	ADJ
fumecheng-12829	294	22	finite	finite	ADJ
fumecheng-12829	294	23	element	element	PROPN
fumecheng-12829	294	24	bilinear	bilinear	PROPN
fumecheng-12829	294	25	shape	shape	NOUN
fumecheng-12829	294	26	functions	function	NOUN
fumecheng-12829	294	27	𝑁𝐼	𝑁𝐼	PROPN
fumecheng-12829	294	28	,	,	PUNCT
fumecheng-12829	294	29	as	as	ADP
fumecheng-12829	294	30	:	:	PUNCT
fumecheng-12829	294	31	4	4	NUM
fumecheng-12829	294	32	1	1	NUM
fumecheng-12829	294	33	(	(	PUNCT
fumecheng-12829	294	34	)	)	PUNCT
fumecheng-12829	294	35	(	(	PUNCT
fumecheng-12829	294	36	)	)	PUNCT
fumecheng-12829	295	1	i	i	PRON
fumecheng-12829	295	2	i	i	PRON
fumecheng-12829	296	1	i	i	PRON
fumecheng-12829	296	2	i	i	PRON
fumecheng-12829	296	3	i	i	PRON
fumecheng-12829	296	4	,	,	PUNCT
fumecheng-12829	296	5	,	,	PUNCT
fumecheng-12829	296	6	n	n	CCONJ
fumecheng-12829	296	7	,	,	PUNCT
fumecheng-12829	296	8	,	,	PUNCT
fumecheng-12829	296	9	=	=	PUNCT
fumecheng-12829	297	1			NUM
fumecheng-12829	297	2	=	=	SYM
fumecheng-12829	297	3	x	x	NUM
fumecheng-12829	297	4	u	u	X
fumecheng-12829	297	5	u	u	NOUN
fumecheng-12829	297	6	x	x	X
fumecheng-12829	297	7	u	u	NOUN
fumecheng-12829	297	8	u	u	NOUN
fumecheng-12829	297	9	(	(	PUNCT
fumecheng-12829	297	10	33	33	NUM
fumecheng-12829	297	11	)	)	PUNCT
fumecheng-12829	297	12	the	the	DET
fumecheng-12829	297	13	unit	unit	NOUN
fumecheng-12829	297	14	director	director	NOUN
fumecheng-12829	297	15	vector	vector	PROPN
fumecheng-12829	297	16	t	t	PROPN
fumecheng-12829	297	17	and	and	CCONJ
fumecheng-12829	297	18	the	the	DET
fumecheng-12829	297	19	λ	λ	PROPN
fumecheng-12829	297	20	parameter	parameter	NOUN
fumecheng-12829	297	21	are	be	AUX
fumecheng-12829	297	22	discretized	discretize	VERB
fumecheng-12829	297	23	using	use	VERB
fumecheng-12829	297	24	the	the	DET
fumecheng-12829	297	25	same	same	ADJ
fumecheng-12829	297	26	functions	function	NOUN
fumecheng-12829	297	27	:	:	PUNCT
fumecheng-12829	297	28	4	4	NUM
fumecheng-12829	297	29	1	1	NUM
fumecheng-12829	297	30	(	(	PUNCT
fumecheng-12829	297	31	)	)	PUNCT
fumecheng-12829	297	32	(	(	PUNCT
fumecheng-12829	297	33	)	)	PUNCT
fumecheng-12829	298	1	i	i	PRON
fumecheng-12829	298	2	i	i	PRON
fumecheng-12829	299	1	i	i	PRON
fumecheng-12829	299	2	i	i	PRON
fumecheng-12829	299	3	i	i	PRON
fumecheng-12829	299	4	,	,	PUNCT
fumecheng-12829	299	5	,	,	PUNCT
fumecheng-12829	299	6	n	n	CCONJ
fumecheng-12829	299	7	,	,	PUNCT
fumecheng-12829	299	8	,	,	PUNCT
fumecheng-12829	299	9	=	=	PUNCT
fumecheng-12829	299	10			NUM
fumecheng-12829	299	11			NUM
fumecheng-12829	299	12	=	=	SYM
fumecheng-12829	299	13			PROPN
fumecheng-12829	299	14	t	t	PROPN
fumecheng-12829	299	15	t	t	PROPN
fumecheng-12829	299	16	t	t	PROPN
fumecheng-12829	299	17	t	t	PROPN
fumecheng-12829	299	18	(	(	PUNCT
fumecheng-12829	299	19	34	34	NUM
fumecheng-12829	299	20	)	)	PUNCT
fumecheng-12829	299	21	as	as	ADP
fumecheng-12829	299	22	the	the	DET
fumecheng-12829	299	23	approximation	approximation	NOUN
fumecheng-12829	299	24	of	of	ADP
fumecheng-12829	299	25	the	the	DET
fumecheng-12829	299	26	different	different	ADJ
fumecheng-12829	299	27	fields	field	NOUN
fumecheng-12829	299	28	is	be	AUX
fumecheng-12829	299	29	assessed	assess	VERB
fumecheng-12829	299	30	in	in	ADP
fumecheng-12829	299	31	the	the	DET
fumecheng-12829	299	32	local	local	ADJ
fumecheng-12829	299	33	cartesian	cartesian	ADJ
fumecheng-12829	299	34	system	system	NOUN
fumecheng-12829	299	35	,	,	PUNCT
fumecheng-12829	299	36	eq	eq	NOUN
fumecheng-12829	299	37	.	.	PUNCT
fumecheng-12829	300	1	(	(	PUNCT
fumecheng-12829	300	2	35	35	NUM
fumecheng-12829	300	3	)	)	PUNCT
fumecheng-12829	300	4	defines	define	VERB
fumecheng-12829	300	5	the	the	DET
fumecheng-12829	300	6	jacobian	jacobian	ADJ
fumecheng-12829	300	7	matrix	matrix	NOUN
fumecheng-12829	300	8	j	j	PROPN
fumecheng-12829	300	9	to	to	PART
fumecheng-12829	300	10	facilitate	facilitate	VERB
fumecheng-12829	300	11	the	the	DET
fumecheng-12829	300	12	transformation	transformation	NOUN
fumecheng-12829	300	13	from	from	ADP
fumecheng-12829	300	14	curvilinear	curvilinear	ADJ
fumecheng-12829	300	15	coordinate	coordinate	NOUN
fumecheng-12829	300	16	vectors	vector	NOUN
fumecheng-12829	300	17	to	to	ADP
fumecheng-12829	300	18	the	the	DET
fumecheng-12829	300	19	local	local	ADJ
fumecheng-12829	300	20	cartesian	cartesian	ADJ
fumecheng-12829	300	21	system	system	NOUN
fumecheng-12829	300	22	{	{	PUNCT
fumecheng-12829	300	23	𝒏1	𝒏1	NOUN
fumecheng-12829	300	24	0	0	NUM
fumecheng-12829	300	25	,	,	PUNCT
fumecheng-12829	300	26	𝒏2	𝒏2	NOUN
fumecheng-12829	300	27	0	0	NUM
fumecheng-12829	300	28	,	,	PUNCT
fumecheng-12829	300	29	𝒏𝟎	𝒏𝟎	NOUN
fumecheng-12829	300	30	}	}	PUNCT
fumecheng-12829	300	31	.	.	PUNCT
fumecheng-12829	301	1	here	here	ADV
fumecheng-12829	301	2	,	,	PUNCT
fumecheng-12829	301	3	𝒏𝟎	𝒏𝟎	NOUN
fumecheng-12829	301	4	represents	represent	VERB
fumecheng-12829	301	5	the	the	DET
fumecheng-12829	301	6	normal	normal	ADJ
fumecheng-12829	301	7	field	field	NOUN
fumecheng-12829	301	8	to	to	ADP
fumecheng-12829	301	9	the	the	DET
fumecheng-12829	301	10	mid	mid	NOUN
fumecheng-12829	301	11	-	-	NOUN
fumecheng-12829	301	12	surface	surface	NOUN
fumecheng-12829	301	13	in	in	ADP
fumecheng-12829	301	14	the	the	DET
fumecheng-12829	301	15	initial	initial	ADJ
fumecheng-12829	301	16	configuration	configuration	NOUN
fumecheng-12829	301	17	,	,	PUNCT
fumecheng-12829	301	18	computed	compute	VERB
fumecheng-12829	301	19	as	as	ADP
fumecheng-12829	301	20	𝒏𝟎	𝒏𝟎	NOUN
fumecheng-12829	301	21	=	=	SYM
fumecheng-12829	301	22	𝑨𝟏	𝑨𝟏	PROPN
fumecheng-12829	301	23	∧	∧	PROPN
fumecheng-12829	301	24	𝑨𝟐/‖𝑨𝟏	𝑨𝟐/‖𝑨𝟏	PROPN
fumecheng-12829	301	25	∧	∧	PROPN
fumecheng-12829	301	26	𝑨𝟐‖	𝑨𝟐‖	PROPN
fumecheng-12829	301	27	:	:	PUNCT
fumecheng-12829	301	28	0	0	NUM
fumecheng-12829	301	29	0	0	NUM
fumecheng-12829	301	30	1	1	NUM
fumecheng-12829	301	31	1	1	NUM
fumecheng-12829	301	32	2	2	NUM
fumecheng-12829	301	33	1	1	NUM
fumecheng-12829	301	34	0	0	NUM
fumecheng-12829	301	35	0	0	NUM
fumecheng-12829	301	36	1	1	NUM
fumecheng-12829	301	37	2	2	NUM
fumecheng-12829	301	38	2	2	NUM
fumecheng-12829	301	39	2	2	NUM
fumecheng-12829	301	40	.	.	PUNCT
fumecheng-12829	301	41	.	.	PUNCT
fumecheng-12829	301	42	.	.	PUNCT
fumecheng-12829	301	43	.	.	PUNCT
fumecheng-12829	302	1			INTJ
fumecheng-12829	302	2			NOUN
fumecheng-12829	302	3	=	=	SYM
fumecheng-12829	302	4			NOUN
fumecheng-12829	302	5			NOUN
fumecheng-12829	302	6			NOUN
fumecheng-12829	302	7			PROPN
fumecheng-12829	302	8			PROPN
fumecheng-12829	302	9	n	n	PRON
fumecheng-12829	302	10	a	a	DET
fumecheng-12829	302	11	n	n	NOUN
fumecheng-12829	302	12	a	a	DET
fumecheng-12829	302	13	j	j	PROPN
fumecheng-12829	302	14	n	n	ADP
fumecheng-12829	302	15	a	a	PROPN
fumecheng-12829	302	16	n	n	NOUN
fumecheng-12829	302	17	a	a	DET
fumecheng-12829	302	18	(	(	PUNCT
fumecheng-12829	302	19	35	35	NUM
fumecheng-12829	302	20	)	)	PUNCT
fumecheng-12829	302	21	subsequently	subsequently	ADV
fumecheng-12829	302	22	,	,	PUNCT
fumecheng-12829	302	23	the	the	DET
fumecheng-12829	302	24	derivatives	derivative	NOUN
fumecheng-12829	302	25	of	of	ADP
fumecheng-12829	302	26	the	the	DET
fumecheng-12829	302	27	cartesian	cartesian	ADJ
fumecheng-12829	302	28	standard	standard	ADJ
fumecheng-12829	302	29	shape	shape	NOUN
fumecheng-12829	302	30	functions	function	NOUN
fumecheng-12829	302	31	defined	define	VERB
fumecheng-12829	302	32	at	at	ADP
fumecheng-12829	302	33	node	node	NOUN
fumecheng-12829	302	34	i	i	PRON
fumecheng-12829	302	35	are	be	AUX
fumecheng-12829	302	36	converted	convert	VERB
fumecheng-12829	302	37	to	to	ADP
fumecheng-12829	302	38	the	the	DET
fumecheng-12829	302	39	global	global	ADJ
fumecheng-12829	302	40	cartesian	cartesian	ADJ
fumecheng-12829	302	41	basis	basis	NOUN
fumecheng-12829	302	42	as	as	SCONJ
fumecheng-12829	302	43	follows	follow	VERB
fumecheng-12829	302	44	:	:	PUNCT
fumecheng-12829	302	45			ADJ
fumecheng-12829	302	46			ADP
fumecheng-12829	302	47	1,1	1,1	NUM
fumecheng-12829	302	48	,	,	PUNCT
fumecheng-12829	302	49	1	1	NUM
fumecheng-12829	302	50	,	,	PUNCT
fumecheng-12829	302	51	2	2	NUM
fumecheng-12829	302	52	,	,	PUNCT
fumecheng-12829	302	53	2	2	NUM
fumecheng-12829	303	1	i	i	PRON
fumecheng-12829	304	1	i	i	PRON
fumecheng-12829	305	1	i	i	VERB
fumecheng-12829	306	1	i	i	VERB
fumecheng-12829	306	2	n	n	VERB
fumecheng-12829	306	3	n	n	CCONJ
fumecheng-12829	306	4	n	n	CCONJ
fumecheng-12829	306	5	n	n	PRON
fumecheng-12829	306	6	−	−	NOUN
fumecheng-12829	306	7			NOUN
fumecheng-12829	306	8			NOUN
fumecheng-12829	307	1			ADJ
fumecheng-12829	307	2			NUM
fumecheng-12829	307	3			NUM
fumecheng-12829	307	4			NUM
fumecheng-12829	308	1	=	=	NOUN
fumecheng-12829	308	2			NUM
fumecheng-12829	308	3			NOUN
fumecheng-12829	309	1			NUM
fumecheng-12829	309	2			NOUN
fumecheng-12829	309	3			NUM
fumecheng-12829	309	4			NUM
fumecheng-12829	309	5			NUM
fumecheng-12829	309	6			PROPN
fumecheng-12829	309	7			PROPN
fumecheng-12829	310	1			PROPN
fumecheng-12829	310	2			PROPN
fumecheng-12829	310	3	j	j	PROPN
fumecheng-12829	310	4	(	(	PUNCT
fumecheng-12829	310	5	36	36	NUM
fumecheng-12829	310	6	)	)	PUNCT
fumecheng-12829	310	7	2.5.1	2.5.1	NUM
fumecheng-12829	310	8	.	.	PUNCT
fumecheng-12829	311	1	compatible	compatible	ADJ
fumecheng-12829	311	2	membrane	membrane	NOUN
fumecheng-12829	311	3	and	and	CCONJ
fumecheng-12829	311	4	transverse	transverse	VERB
fumecheng-12829	311	5	normal	normal	ADJ
fumecheng-12829	311	6	strain	strain	NOUN
fumecheng-12829	311	7	as	as	SCONJ
fumecheng-12829	311	8	detailed	detail	VERB
fumecheng-12829	311	9	in	in	ADP
fumecheng-12829	311	10	the	the	DET
fumecheng-12829	311	11	study	study	NOUN
fumecheng-12829	311	12	by	by	ADP
fumecheng-12829	311	13	bischoff	bischoff	PROPN
fumecheng-12829	311	14	and	and	CCONJ
fumecheng-12829	311	15	ramm	ramm	PRON
fumecheng-12829	312	1	[	[	X
fumecheng-12829	312	2	31	31	NUM
fumecheng-12829	312	3	]	]	PUNCT
fumecheng-12829	312	4	,	,	PUNCT
fumecheng-12829	312	5	to	to	PART
fumecheng-12829	312	6	mitigate	mitigate	VERB
fumecheng-12829	312	7	the	the	DET
fumecheng-12829	312	8	occurrence	occurrence	NOUN
fumecheng-12829	312	9	of	of	ADP
fumecheng-12829	312	10	parasitic	parasitic	ADJ
fumecheng-12829	312	11	strain	strain	NOUN
fumecheng-12829	312	12	distribution	distribution	NOUN
fumecheng-12829	312	13	,	,	PUNCT
fumecheng-12829	312	14	the	the	DET
fumecheng-12829	312	15	assumed	assume	VERB
fumecheng-12829	312	16	natural	natural	ADJ
fumecheng-12829	312	17	strain	strain	NOUN
fumecheng-12829	312	18	(	(	PUNCT
fumecheng-12829	312	19	ans	ans	X
fumecheng-12829	312	20	)	)	PUNCT
fumecheng-12829	312	21	method	method	NOUN
fumecheng-12829	312	22	is	be	AUX
fumecheng-12829	312	23	employed	employ	VERB
fumecheng-12829	312	24	to	to	PART
fumecheng-12829	312	25	interpolate	interpolate	VERB
fumecheng-12829	312	26	the	the	DET
fumecheng-12829	312	27	compatible	compatible	ADJ
fumecheng-12829	312	28	thickness	thickness	NOUN
fumecheng-12829	312	29	strain	strain	NOUN
fumecheng-12829	312	30	defined	define	VERB
fumecheng-12829	312	31	at	at	ADP
fumecheng-12829	312	32	the	the	DET
fumecheng-12829	312	33	sampling	sampling	NOUN
fumecheng-12829	312	34	points	point	NOUN
fumecheng-12829	312	35	instead	instead	ADV
fumecheng-12829	312	36	of	of	ADP
fumecheng-12829	312	37	the	the	DET
fumecheng-12829	312	38	gauss	gauss	ADJ
fumecheng-12829	312	39	points	point	NOUN
fumecheng-12829	312	40	(	(	PUNCT
fumecheng-12829	312	41	refer	refer	VERB
fumecheng-12829	312	42	to	to	ADP
fumecheng-12829	312	43	fig	fig	NOUN
fumecheng-12829	312	44	.	.	PUNCT
fumecheng-12829	313	1	5	5	NUM
fumecheng-12829	313	2	)	)	PUNCT
fumecheng-12829	313	3	.	.	PUNCT
fumecheng-12829	314	1	4	4	NUM
fumecheng-12829	314	2	33	33	NUM
fumecheng-12829	314	3	33	33	NUM
fumecheng-12829	314	4	33	33	NUM
fumecheng-12829	314	5	1	1	NUM
fumecheng-12829	314	6	,	,	PUNCT
fumecheng-12829	314	7	(	(	PUNCT
fumecheng-12829	314	8	1)i	1)i	NUM
fumecheng-12829	314	9	i	i	NOUN
fumecheng-12829	314	10	i	i	PRON
fumecheng-12829	315	1	i	i	PRON
fumecheng-12829	315	2	i	i	VERB
fumecheng-12829	316	1	i	i	VERB
fumecheng-12829	316	2	e	e	VERB
fumecheng-12829	316	3	n	n	NUM
fumecheng-12829	316	4	e	e	X
fumecheng-12829	316	5	e	e	NOUN
fumecheng-12829	317	1			NUM
fumecheng-12829	317	2			NUM
fumecheng-12829	317	3			ADJ
fumecheng-12829	317	4			NOUN
fumecheng-12829	317	5	=	=	SYM
fumecheng-12829	317	6	=	=	SYM
fumecheng-12829	317	7	=	=	SYM
fumecheng-12829	317	8	−	−	NOUN
fumecheng-12829	317	9	(	(	PUNCT
fumecheng-12829	317	10	37	37	NUM
fumecheng-12829	317	11	)	)	PUNCT
fumecheng-12829	317	12	840	840	NUM
fumecheng-12829	317	13	h.	h.	PROPN
fumecheng-12829	317	14	mallek	mallek	PROPN
fumecheng-12829	317	15	,	,	PUNCT
fumecheng-12829	317	16	h.	h.	PROPN
fumecheng-12829	317	17	mellouli	mellouli	PROPN
fumecheng-12829	317	18	,	,	PUNCT
fumecheng-12829	317	19	l.	l.	PROPN
fumecheng-12829	317	20	ben	ben	PROPN
fumecheng-12829	317	21	said	say	VERB
fumecheng-12829	317	22	,	,	PUNCT
fumecheng-12829	317	23	m.	m.	PROPN
fumecheng-12829	317	24	wali	wali	PROPN
fumecheng-12829	317	25	,	,	PUNCT
fumecheng-12829	317	26	f.	f.	PROPN
fumecheng-12829	317	27	dammak	dammak	PROPN
fumecheng-12829	317	28	,	,	PUNCT
fumecheng-12829	317	29	m.	m.	NOUN
fumecheng-12829	317	30	alhadri	alhadri	ADJ
fumecheng-12829	317	31	the	the	DET
fumecheng-12829	317	32	interpolated	interpolate	VERB
fumecheng-12829	317	33	compatible	compatible	ADJ
fumecheng-12829	317	34	membrane	membrane	NOUN
fumecheng-12829	317	35	strains	strain	NOUN
fumecheng-12829	317	36	(	(	PUNCT
fumecheng-12829	317	37	𝑒11	𝑒11	NOUN
fumecheng-12829	317	38	,	,	PUNCT
fumecheng-12829	317	39	𝑒22	𝑒22	NOUN
fumecheng-12829	317	40	and	and	CCONJ
fumecheng-12829	317	41	𝑒33	𝑒33	NOUN
fumecheng-12829	317	42	)	)	PUNCT
fumecheng-12829	317	43	and	and	CCONJ
fumecheng-12829	317	44	transverse	transverse	VERB
fumecheng-12829	317	45	normal	normal	ADJ
fumecheng-12829	317	46	strain	strain	NOUN
fumecheng-12829	317	47	𝑒33	𝑒33	NOUN
fumecheng-12829	317	48	are	be	AUX
fumecheng-12829	317	49	connected	connect	VERB
fumecheng-12829	317	50	to	to	ADP
fumecheng-12829	317	51	the	the	DET
fumecheng-12829	317	52	node	node	NOUN
fumecheng-12829	317	53	’s	’s	PART
fumecheng-12829	317	54	kinematic	kinematic	ADJ
fumecheng-12829	317	55	variables	variable	NOUN
fumecheng-12829	317	56	𝛿𝜱𝑛	𝛿𝜱𝑛	ADP
fumecheng-12829	317	57	through	through	ADP
fumecheng-12829	317	58	the	the	DET
fumecheng-12829	317	59	discrete	discrete	ADJ
fumecheng-12829	317	60	operator	operator	NOUN
fumecheng-12829	317	61	matrix	matrix	NOUN
fumecheng-12829	317	62	𝑩𝑚	𝑩𝑚	NOUN
fumecheng-12829	317	63	,	,	PUNCT
fumecheng-12829	317	64	as	as	SCONJ
fumecheng-12829	317	65	outlined	outline	VERB
fumecheng-12829	317	66	in	in	ADP
fumecheng-12829	317	67	appendix	appendix	NOUN
fumecheng-12829	317	68	a	a	DET
fumecheng-12829	317	69	.m	.m	NOUN
fumecheng-12829	318	1	n	n	NOUN
fumecheng-12829	318	2	=e	=e	PROPN
fumecheng-12829	318	3	b	b	NOUN
fumecheng-12829	318	4	φ	φ	X
fumecheng-12829	318	5	(	(	PUNCT
fumecheng-12829	318	6	38	38	NUM
fumecheng-12829	318	7	)	)	PUNCT
fumecheng-12829	318	8	fig	fig	NOUN
fumecheng-12829	318	9	.	.	PUNCT
fumecheng-12829	319	1	5	5	NUM
fumecheng-12829	319	2	presentation	presentation	NOUN
fumecheng-12829	319	3	of	of	ADP
fumecheng-12829	319	4	transverse	transverse	NOUN
fumecheng-12829	319	5	normal	normal	ADJ
fumecheng-12829	319	6	and	and	CCONJ
fumecheng-12829	319	7	shear	shear	NOUN
fumecheng-12829	319	8	strain	strain	NOUN
fumecheng-12829	319	9	interpolation	interpolation	NOUN
fumecheng-12829	319	10	points	point	NOUN
fumecheng-12829	319	11	2.5.2	2.5.2	NUM
fumecheng-12829	319	12	.	.	PUNCT
fumecheng-12829	320	1	compatible	compatible	ADJ
fumecheng-12829	320	2	bending	bending	NOUN
fumecheng-12829	320	3	strain	strain	VERB
fumecheng-12829	320	4	the	the	DET
fumecheng-12829	320	5	linearized	linearize	VERB
fumecheng-12829	320	6	compatible	compatible	ADJ
fumecheng-12829	320	7	bending	bending	NOUN
fumecheng-12829	320	8	strain	strain	NOUN
fumecheng-12829	320	9	is	be	AUX
fumecheng-12829	320	10	written	write	VERB
fumecheng-12829	320	11	in	in	ADP
fumecheng-12829	320	12	term	term	NOUN
fumecheng-12829	320	13	of	of	ADP
fumecheng-12829	320	14	the	the	DET
fumecheng-12829	320	15	node	node	NOUN
fumecheng-12829	320	16	’s	’s	PART
fumecheng-12829	320	17	kinematic	kinematic	ADJ
fumecheng-12829	320	18	variables	variable	NOUN
fumecheng-12829	320	19	𝛿𝜱𝑛	𝛿𝜱𝑛	ADP
fumecheng-12829	320	20	and	and	CCONJ
fumecheng-12829	320	21	the	the	DET
fumecheng-12829	320	22	discrete	discrete	ADJ
fumecheng-12829	320	23	bending	bend	VERB
fumecheng-12829	320	24	operator	operator	NOUN
fumecheng-12829	320	25	matrix	matrix	NOUN
fumecheng-12829	320	26	𝑩𝑏	𝑩𝑏	PROPN
fumecheng-12829	320	27	(	(	PUNCT
fumecheng-12829	320	28	detailed	detail	VERB
fumecheng-12829	320	29	in	in	ADP
fumecheng-12829	320	30	appendix	appendix	NOUN
fumecheng-12829	320	31	a	a	PRON
fumecheng-12829	320	32	)	)	PUNCT
fumecheng-12829	320	33	,	,	PUNCT
fumecheng-12829	320	34	as	as	SCONJ
fumecheng-12829	320	35	follows	follow	VERB
fumecheng-12829	320	36	:	:	PUNCT
fumecheng-12829	320	37	.b	.b	PROPN
fumecheng-12829	321	1	n	n	VERB
fumecheng-12829	321	2	=χ	=χ	PROPN
fumecheng-12829	321	3	b	b	PROPN
fumecheng-12829	321	4	φ	φ	X
fumecheng-12829	321	5	(	(	PUNCT
fumecheng-12829	321	6	39	39	NUM
fumecheng-12829	321	7	)	)	PUNCT
fumecheng-12829	321	8	2.5.3	2.5.3	NUM
fumecheng-12829	321	9	.	.	PUNCT
fumecheng-12829	322	1	compatible	compatible	ADJ
fumecheng-12829	322	2	first	first	ADJ
fumecheng-12829	322	3	term	term	NOUN
fumecheng-12829	322	4	of	of	ADP
fumecheng-12829	322	5	the	the	DET
fumecheng-12829	322	6	transverse	transverse	ADJ
fumecheng-12829	322	7	shear	shear	NOUN
fumecheng-12829	322	8	strain	strain	NOUN
fumecheng-12829	322	9	it	it	PRON
fumecheng-12829	322	10	is	be	AUX
fumecheng-12829	322	11	hypothesized	hypothesize	VERB
fumecheng-12829	322	12	that	that	SCONJ
fumecheng-12829	322	13	the	the	DET
fumecheng-12829	322	14	shear	shear	NOUN
fumecheng-12829	322	15	locking	locking	NOUN
fumecheng-12829	322	16	issue	issue	NOUN
fumecheng-12829	322	17	,	,	PUNCT
fumecheng-12829	322	18	which	which	PRON
fumecheng-12829	322	19	hampers	hamper	VERB
fumecheng-12829	322	20	the	the	DET
fumecheng-12829	322	21	effectiveness	effectiveness	NOUN
fumecheng-12829	322	22	of	of	ADP
fumecheng-12829	322	23	the	the	DET
fumecheng-12829	322	24	displacement	displacement	ADJ
fumecheng-12829	322	25	finite	finite	NOUN
fumecheng-12829	322	26	element	element	NOUN
fumecheng-12829	322	27	(	(	PUNCT
fumecheng-12829	322	28	fe	fe	NOUN
fumecheng-12829	322	29	)	)	PUNCT
fumecheng-12829	322	30	formulation	formulation	NOUN
fumecheng-12829	322	31	,	,	PUNCT
fumecheng-12829	322	32	particularly	particularly	ADV
fumecheng-12829	322	33	for	for	ADP
fumecheng-12829	322	34	thin	thin	ADJ
fumecheng-12829	322	35	shells	shell	NOUN
fumecheng-12829	322	36	,	,	PUNCT
fumecheng-12829	322	37	can	can	AUX
fumecheng-12829	322	38	be	be	AUX
fumecheng-12829	322	39	effectively	effectively	ADV
fumecheng-12829	322	40	mitigated	mitigate	VERB
fumecheng-12829	322	41	by	by	ADP
fumecheng-12829	322	42	the	the	DET
fumecheng-12829	322	43	assumed	assume	VERB
fumecheng-12829	322	44	natural	natural	ADJ
fumecheng-12829	322	45	strain	strain	NOUN
fumecheng-12829	322	46	(	(	PUNCT
fumecheng-12829	322	47	ans	ans	X
fumecheng-12829	322	48	)	)	PUNCT
fumecheng-12829	322	49	method	method	NOUN
fumecheng-12829	322	50	[	[	X
fumecheng-12829	322	51	32	32	NUM
fumecheng-12829	322	52	,	,	PUNCT
fumecheng-12829	322	53	33	33	NUM
fumecheng-12829	322	54	]	]	PUNCT
fumecheng-12829	322	55	.	.	PUNCT
fumecheng-12829	323	1	the	the	DET
fumecheng-12829	323	2	compatible	compatible	ADJ
fumecheng-12829	323	3	first	first	ADJ
fumecheng-12829	323	4	term	term	NOUN
fumecheng-12829	323	5	of	of	ADP
fumecheng-12829	323	6	the	the	DET
fumecheng-12829	323	7	tss	tss	NOUN
fumecheng-12829	323	8	𝜸0	𝜸0	PROPN
fumecheng-12829	323	9	is	be	AUX
fumecheng-12829	323	10	computed	compute	VERB
fumecheng-12829	323	11	within	within	ADP
fumecheng-12829	323	12	the	the	DET
fumecheng-12829	323	13	element	element	NOUN
fumecheng-12829	323	14	at	at	ADP
fumecheng-12829	323	15	sampling	sample	VERB
fumecheng-12829	323	16	points	point	NOUN
fumecheng-12829	323	17	(	(	PUNCT
fumecheng-12829	323	18	a	a	DET
fumecheng-12829	323	19	,	,	PUNCT
fumecheng-12829	323	20	b	b	NOUN
fumecheng-12829	323	21	,	,	PUNCT
fumecheng-12829	323	22	c	c	PROPN
fumecheng-12829	323	23	and	and	CCONJ
fumecheng-12829	323	24	d	d	NOUN
fumecheng-12829	323	25	)	)	PUNCT
fumecheng-12829	323	26	as	as	SCONJ
fumecheng-12829	323	27	follows	follow	VERB
fumecheng-12829	323	28	:	:	PUNCT
fumecheng-12829	323	29	(	(	PUNCT
fumecheng-12829	323	30	)	)	PUNCT
fumecheng-12829	323	31	(	(	PUNCT
fumecheng-12829	323	32	)	)	PUNCT
fumecheng-12829	323	33	(	(	PUNCT
fumecheng-12829	323	34	)	)	PUNCT
fumecheng-12829	323	35	(	(	PUNCT
fumecheng-12829	323	36	)	)	PUNCT
fumecheng-12829	324	1	2	2	NUM
fumecheng-12829	324	2	0	0	NUM
fumecheng-12829	324	3	2	2	NUM
fumecheng-12829	324	4	00	00	NUM
fumecheng-12829	324	5	1	1	NUM
fumecheng-12829	324	6	10	10	NUM
fumecheng-12829	324	7	1	1	NUM
fumecheng-12829	324	8	1	1	NUM
fumecheng-12829	324	9	0	0	NUM
fumecheng-12829	324	10	1	1	NUM
fumecheng-12829	324	11	00	00	NUM
fumecheng-12829	324	12	2	2	NUM
fumecheng-12829	324	13	22	22	NUM
fumecheng-12829	324	14	(	(	PUNCT
fumecheng-12829	324	15	1	1	NUM
fumecheng-12829	324	16	)	)	PUNCT
fumecheng-12829	324	17	(	(	PUNCT
fumecheng-12829	324	18	1	1	X
fumecheng-12829	324	19	)	)	SYM
fumecheng-12829	324	20	1	1	NUM
fumecheng-12829	324	21	(	(	PUNCT
fumecheng-12829	324	22	1	1	NUM
fumecheng-12829	324	23	)	)	PUNCT
fumecheng-12829	324	24	(	(	PUNCT
fumecheng-12829	324	25	1	1	X
fumecheng-12829	324	26	)	)	SYM
fumecheng-12829	324	27	2	2	NUM
fumecheng-12829	324	28	b	b	NOUN
fumecheng-12829	324	29	d	d	NOUN
fumecheng-12829	324	30	a	a	DET
fumecheng-12829	324	31	c	c	NOUN
fumecheng-12829	324	32			NOUN
fumecheng-12829	324	33			NOUN
fumecheng-12829	325	1			NUM
fumecheng-12829	325	2			VERB
fumecheng-12829	325	3			PRON
fumecheng-12829	325	4			ADJ
fumecheng-12829	325	5			NOUN
fumecheng-12829	325	6			NUM
fumecheng-12829	325	7			NOUN
fumecheng-12829	326	1			NUM
fumecheng-12829	326	2			PROPN
fumecheng-12829	326	3			PROPN
fumecheng-12829	326	4			NOUN
fumecheng-12829	326	5	−	−	PROPN
fumecheng-12829	326	6	+	+	SYM
fumecheng-12829	326	7	+	+	PUNCT
fumecheng-12829	326	8	=	=	SYM
fumecheng-12829	326	9	=	=	SYM
fumecheng-12829	326	10			NOUN
fumecheng-12829	326	11			NOUN
fumecheng-12829	326	12			NOUN
fumecheng-12829	326	13	−	−	PROPN
fumecheng-12829	327	1	+	+	CCONJ
fumecheng-12829	327	2	+	+	ADJ
fumecheng-12829	327	3			NOUN
fumecheng-12829	327	4			PROPN
fumecheng-12829	327	5			VERB
fumecheng-12829	327	6			PROPN
fumecheng-12829	327	7	γ	γ	X
fumecheng-12829	327	8	(	(	PUNCT
fumecheng-12829	327	9	40	40	NUM
fumecheng-12829	327	10	)	)	PUNCT
fumecheng-12829	327	11	here	here	ADV
fumecheng-12829	327	12	,	,	PUNCT
fumecheng-12829	327	13	(	(	PUNCT
fumecheng-12829	327	14	a	a	DET
fumecheng-12829	327	15	,	,	PUNCT
fumecheng-12829	327	16	b	b	NOUN
fumecheng-12829	327	17	,	,	PUNCT
fumecheng-12829	327	18	c	c	PROPN
fumecheng-12829	327	19	and	and	CCONJ
fumecheng-12829	327	20	d	d	X
fumecheng-12829	327	21	)	)	PUNCT
fumecheng-12829	327	22	represent	represent	VERB
fumecheng-12829	327	23	a	a	DET
fumecheng-12829	327	24	set	set	NOUN
fumecheng-12829	327	25	of	of	ADP
fumecheng-12829	327	26	mid	mid	NOUN
fumecheng-12829	327	27	-	-	NOUN
fumecheng-12829	327	28	points	point	NOUN
fumecheng-12829	327	29	along	along	ADP
fumecheng-12829	327	30	the	the	DET
fumecheng-12829	327	31	boundaries	boundary	NOUN
fumecheng-12829	327	32	of	of	ADP
fumecheng-12829	327	33	the	the	DET
fumecheng-12829	327	34	element	element	NOUN
fumecheng-12829	327	35	,	,	PUNCT
fumecheng-12829	327	36	as	as	SCONJ
fumecheng-12829	327	37	illustrated	illustrate	VERB
fumecheng-12829	327	38	in	in	ADP
fumecheng-12829	327	39	fig	fig	NOUN
fumecheng-12829	327	40	.	.	PUNCT
fumecheng-12829	328	1	5	5	X
fumecheng-12829	328	2	.	.	PUNCT
fumecheng-12829	328	3	this	this	DET
fumecheng-12829	328	4	interpolation	interpolation	NOUN
fumecheng-12829	328	5	technique	technique	NOUN
fumecheng-12829	328	6	safeguards	safeguard	NOUN
fumecheng-12829	328	7	against	against	ADP
fumecheng-12829	328	8	unreasonable	unreasonable	ADJ
fumecheng-12829	328	9	modes	mode	NOUN
fumecheng-12829	328	10	of	of	ADP
fumecheng-12829	328	11	compatible	compatible	ADJ
fumecheng-12829	328	12	shear	shear	NOUN
fumecheng-12829	328	13	strains	strain	NOUN
fumecheng-12829	328	14	,	,	PUNCT
fumecheng-12829	328	15	enabling	enable	VERB
fumecheng-12829	328	16	deformations	deformation	NOUN
fumecheng-12829	328	17	without	without	ADP
fumecheng-12829	328	18	parasitic	parasitic	ADJ
fumecheng-12829	328	19	shear	shear	NOUN
fumecheng-12829	328	20	strains	strain	NOUN
fumecheng-12829	328	21	during	during	ADP
fumecheng-12829	328	22	pure	pure	ADJ
fumecheng-12829	328	23	bending	bending	NOUN
fumecheng-12829	328	24	.	.	PUNCT
fumecheng-12829	329	1	next	next	ADV
fumecheng-12829	329	2	,	,	PUNCT
fumecheng-12829	329	3	the	the	DET
fumecheng-12829	329	4	variation	variation	NOUN
fumecheng-12829	329	5	of	of	ADP
fumecheng-12829	329	6	the	the	DET
fumecheng-12829	329	7	constant	constant	ADJ
fumecheng-12829	329	8	tss	tss	NOUN
fumecheng-12829	329	9	is	be	AUX
fumecheng-12829	329	10	interpolated	interpolate	VERB
fumecheng-12829	329	11	within	within	ADP
fumecheng-12829	329	12	the	the	DET
fumecheng-12829	329	13	element	element	NOUN
fumecheng-12829	329	14	as	as	ADP
fumecheng-12829	329	15	:	:	PUNCT
fumecheng-12829	329	16	0	0	NUM
fumecheng-12829	329	17	0	0	NUM
fumecheng-12829	329	18	.s	.s	NOUN
fumecheng-12829	329	19	n	n	NOUN
fumecheng-12829	329	20	=γ	=γ	PROPN
fumecheng-12829	329	21	b	b	NUM
fumecheng-12829	329	22	φ	φ	X
fumecheng-12829	329	23	(	(	PUNCT
fumecheng-12829	329	24	41	41	NUM
fumecheng-12829	329	25	)	)	PUNCT
fumecheng-12829	329	26	porosity	porosity	NOUN
fumecheng-12829	329	27	effects	effect	NOUN
fumecheng-12829	329	28	on	on	ADP
fumecheng-12829	329	29	nonlinear	nonlinear	ADJ
fumecheng-12829	329	30	static	static	ADJ
fumecheng-12829	329	31	performances	performance	NOUN
fumecheng-12829	329	32	of	of	ADP
fumecheng-12829	329	33	fg	fg	PROPN
fumecheng-12829	329	34	shells	shell	NOUN
fumecheng-12829	329	35	considering	consider	VERB
fumecheng-12829	329	36	thickness	thickness	NOUN
fumecheng-12829	329	37	stretching	stretch	VERB
fumecheng-12829	329	38	841	841	NUM
fumecheng-12829	329	39	in	in	ADP
fumecheng-12829	329	40	which	which	PRON
fumecheng-12829	329	41	,	,	PUNCT
fumecheng-12829	329	42	𝑩𝑠	𝑩𝑠	PROPN
fumecheng-12829	329	43	0	0	NUM
fumecheng-12829	329	44	is	be	AUX
fumecheng-12829	329	45	the	the	DET
fumecheng-12829	329	46	discrete	discrete	ADJ
fumecheng-12829	329	47	first	first	ADJ
fumecheng-12829	329	48	shear	shear	NOUN
fumecheng-12829	329	49	strain	strain	NOUN
fumecheng-12829	329	50	operator	operator	NOUN
fumecheng-12829	329	51	matrix	matrix	NOUN
fumecheng-12829	329	52	,	,	PUNCT
fumecheng-12829	329	53	illustrated	illustrate	VERB
fumecheng-12829	329	54	in	in	ADP
fumecheng-12829	329	55	appendix	appendix	ADJ
fumecheng-12829	329	56	a.	a.	NOUN
fumecheng-12829	329	57	2.5.4	2.5.4	NUM
fumecheng-12829	329	58	.	.	PUNCT
fumecheng-12829	330	1	compatible	compatible	ADJ
fumecheng-12829	330	2	second	second	ADJ
fumecheng-12829	330	3	term	term	NOUN
fumecheng-12829	330	4	of	of	ADP
fumecheng-12829	330	5	the	the	DET
fumecheng-12829	330	6	transverse	transverse	ADJ
fumecheng-12829	330	7	shear	shear	NOUN
fumecheng-12829	330	8	strain	strain	VERB
fumecheng-12829	330	9	the	the	DET
fumecheng-12829	330	10	calculation	calculation	NOUN
fumecheng-12829	330	11	of	of	ADP
fumecheng-12829	330	12	the	the	DET
fumecheng-12829	330	13	compatible	compatible	ADJ
fumecheng-12829	330	14	second	second	ADJ
fumecheng-12829	330	15	tss	tss	PROPN
fumecheng-12829	330	16	follows	follow	VERB
fumecheng-12829	330	17	the	the	DET
fumecheng-12829	330	18	same	same	ADJ
fumecheng-12829	330	19	procedure	procedure	NOUN
fumecheng-12829	330	20	as	as	ADP
fumecheng-12829	330	21	the	the	DET
fumecheng-12829	330	22	first	first	ADJ
fumecheng-12829	330	23	shear	shear	NOUN
fumecheng-12829	330	24	strain	strain	NOUN
fumecheng-12829	330	25	,	,	PUNCT
fumecheng-12829	330	26	utilizing	utilize	VERB
fumecheng-12829	330	27	the	the	DET
fumecheng-12829	330	28	ans	an	NOUN
fumecheng-12829	330	29	method	method	NOUN
fumecheng-12829	330	30	.	.	PUNCT
fumecheng-12829	331	1	1	1	NUM
fumecheng-12829	331	2	2	2	NUM
fumecheng-12829	331	3	1	1	NUM
fumecheng-12829	331	4	2	2	NUM
fumecheng-12829	331	5	1	1	NUM
fumecheng-12829	331	6	1	1	NUM
fumecheng-12829	331	7	1	1	NUM
fumecheng-12829	331	8	1	1	NUM
fumecheng-12829	331	9	1	1	NUM
fumecheng-12829	331	10	1	1	NUM
fumecheng-12829	331	11	1	1	NUM
fumecheng-12829	331	12	1	1	NUM
fumecheng-12829	331	13	1	1	NUM
fumecheng-12829	331	14	1	1	NUM
fumecheng-12829	331	15	2	2	NUM
fumecheng-12829	331	16	2	2	NUM
fumecheng-12829	331	17	2	2	NUM
fumecheng-12829	331	18	(	(	PUNCT
fumecheng-12829	331	19	1	1	NUM
fumecheng-12829	331	20	)	)	PUNCT
fumecheng-12829	331	21	(	(	PUNCT
fumecheng-12829	331	22	)	)	PUNCT
fumecheng-12829	331	23	(	(	PUNCT
fumecheng-12829	331	24	1	1	X
fumecheng-12829	331	25	)	)	PUNCT
fumecheng-12829	331	26	(	(	PUNCT
fumecheng-12829	331	27	)	)	SYM
fumecheng-12829	331	28	1	1	NUM
fumecheng-12829	331	29	2	2	NUM
fumecheng-12829	331	30	(	(	PUNCT
fumecheng-12829	331	31	1	1	NUM
fumecheng-12829	331	32	)	)	PUNCT
fumecheng-12829	331	33	(	(	PUNCT
fumecheng-12829	331	34	)	)	PUNCT
fumecheng-12829	331	35	(	(	PUNCT
fumecheng-12829	331	36	1	1	X
fumecheng-12829	331	37	)	)	PUNCT
fumecheng-12829	331	38	(	(	PUNCT
fumecheng-12829	331	39	)	)	PUNCT
fumecheng-12829	331	40	b	b	X
fumecheng-12829	332	1	d	d	NOUN
fumecheng-12829	332	2	a	a	PRON
fumecheng-12829	332	3	d	d	NOUN
fumecheng-12829	332	4			NOUN
fumecheng-12829	332	5			NUM
fumecheng-12829	332	6			NOUN
fumecheng-12829	332	7			NUM
fumecheng-12829	332	8			NOUN
fumecheng-12829	332	9			NUM
fumecheng-12829	332	10			NUM
fumecheng-12829	332	11			NUM
fumecheng-12829	332	12			NOUN
fumecheng-12829	332	13			NUM
fumecheng-12829	332	14			NOUN
fumecheng-12829	332	15			NUM
fumecheng-12829	332	16			NOUN
fumecheng-12829	332	17			ADJ
fumecheng-12829	332	18			PROPN
fumecheng-12829	332	19	−	−	PROPN
fumecheng-12829	332	20	+	+	X
fumecheng-12829	332	21	+	+	PUNCT
fumecheng-12829	332	22	=	=	SYM
fumecheng-12829	332	23	=	=	ADJ
fumecheng-12829	332	24			NOUN
fumecheng-12829	332	25			NOUN
fumecheng-12829	332	26			NOUN
fumecheng-12829	332	27			NOUN
fumecheng-12829	332	28	−	−	PROPN
fumecheng-12829	333	1	+	+	CCONJ
fumecheng-12829	333	2	+	+	ADJ
fumecheng-12829	333	3			NOUN
fumecheng-12829	333	4			PROPN
fumecheng-12829	333	5			VERB
fumecheng-12829	333	6			PROPN
fumecheng-12829	333	7	γ	γ	X
fumecheng-12829	333	8	(	(	PUNCT
fumecheng-12829	333	9	42	42	NUM
fumecheng-12829	333	10	)	)	PUNCT
fumecheng-12829	333	11	the	the	DET
fumecheng-12829	333	12	variation	variation	NOUN
fumecheng-12829	333	13	of	of	ADP
fumecheng-12829	333	14	the	the	DET
fumecheng-12829	333	15	second	second	ADJ
fumecheng-12829	333	16	tss	tss	NOUN
fumecheng-12829	333	17	strain	strain	NOUN
fumecheng-12829	333	18	is	be	AUX
fumecheng-12829	333	19	presented	present	VERB
fumecheng-12829	333	20	in	in	ADP
fumecheng-12829	333	21	the	the	DET
fumecheng-12829	333	22	matrix	matrix	NOUN
fumecheng-12829	333	23	form	form	NOUN
fumecheng-12829	333	24	as	as	SCONJ
fumecheng-12829	333	25	follows	follow	VERB
fumecheng-12829	333	26	:	:	PUNCT
fumecheng-12829	333	27	1	1	NUM
fumecheng-12829	333	28	1.s	1.s	NUM
fumecheng-12829	333	29	n	n	NOUN
fumecheng-12829	333	30	=γ	=γ	PROPN
fumecheng-12829	333	31	b	b	PROPN
fumecheng-12829	333	32	φ	φ	X
fumecheng-12829	333	33	(	(	PUNCT
fumecheng-12829	333	34	43	43	NUM
fumecheng-12829	333	35	)	)	PUNCT
fumecheng-12829	333	36	here	here	ADV
fumecheng-12829	333	37	,	,	PUNCT
fumecheng-12829	333	38	the	the	DET
fumecheng-12829	333	39	discrete	discrete	ADJ
fumecheng-12829	333	40	operator	operator	NOUN
fumecheng-12829	333	41	matrix	matrix	NOUN
fumecheng-12829	333	42	for	for	ADP
fumecheng-12829	333	43	the	the	DET
fumecheng-12829	333	44	second	second	ADJ
fumecheng-12829	333	45	shear	shear	NOUN
fumecheng-12829	333	46	strain	strain	NOUN
fumecheng-12829	333	47	-	-	PUNCT
fumecheng-12829	333	48	displacement	displacement	NOUN
fumecheng-12829	333	49	𝑩𝑠	𝑩𝑠	PROPN
fumecheng-12829	333	50	1	1	NUM
fumecheng-12829	333	51	is	be	AUX
fumecheng-12829	333	52	depicted	depict	VERB
fumecheng-12829	333	53	in	in	ADP
fumecheng-12829	333	54	appendix	appendix	ADJ
fumecheng-12829	333	55	a.	a.	NOUN
fumecheng-12829	333	56	ultimately	ultimately	ADV
fumecheng-12829	333	57	,	,	PUNCT
fumecheng-12829	333	58	the	the	DET
fumecheng-12829	333	59	virtual	virtual	ADJ
fumecheng-12829	333	60	compatible	compatible	ADJ
fumecheng-12829	333	61	strain	strain	NOUN
fumecheng-12829	333	62	tensor	tensor	NOUN
fumecheng-12829	333	63	is	be	AUX
fumecheng-12829	333	64	obtained	obtain	VERB
fumecheng-12829	333	65	using	use	VERB
fumecheng-12829	333	66	eqs	eqs	PROPN
fumecheng-12829	333	67	.	.	PUNCT
fumecheng-12829	334	1	(	(	PUNCT
fumecheng-12829	334	2	39	39	NUM
fumecheng-12829	334	3	)	)	PUNCT
fumecheng-12829	334	4	,	,	PUNCT
fumecheng-12829	334	5	(	(	PUNCT
fumecheng-12829	334	6	40	40	NUM
fumecheng-12829	334	7	)	)	PUNCT
fumecheng-12829	334	8	,	,	PUNCT
fumecheng-12829	334	9	(	(	PUNCT
fumecheng-12829	334	10	42	42	NUM
fumecheng-12829	334	11	)	)	PUNCT
fumecheng-12829	334	12	,	,	PUNCT
fumecheng-12829	334	13	and	and	CCONJ
fumecheng-12829	334	14	(	(	PUNCT
fumecheng-12829	334	15	43	43	NUM
fumecheng-12829	334	16	)	)	PUNCT
fumecheng-12829	334	17	as	as	SCONJ
fumecheng-12829	334	18	follows	follow	VERB
fumecheng-12829	334	19	:	:	PUNCT
fumecheng-12829	334	20	0	0	NUM
fumecheng-12829	334	21	1	1	NUM
fumecheng-12829	334	22	.	.	PUNCT
fumecheng-12829	335	1	t	t	PROPN
fumecheng-12829	335	2	c	c	NOUN
fumecheng-12829	335	3	n	n	NOUN
fumecheng-12829	335	4			NUM
fumecheng-12829	335	5			NUM
fumecheng-12829	335	6			NUM
fumecheng-12829	335	7			PROPN
fumecheng-12829	335	8			PROPN
fumecheng-12829	335	9	=	=	NOUN
fumecheng-12829	335	10	=	=	NOUN
fumecheng-12829	335	11			X
fumecheng-12829	335	12	σ	σ	NOUN
fumecheng-12829	335	13	e	e	NOUN
fumecheng-12829	335	14	χ	χ	PROPN
fumecheng-12829	335	15	γ	γ	X
fumecheng-12829	335	16	γ	γ	PROPN
fumecheng-12829	335	17	b	b	PROPN
fumecheng-12829	335	18	φ	φ	X
fumecheng-12829	335	19	(	(	PUNCT
fumecheng-12829	335	20	44	44	NUM
fumecheng-12829	335	21	)	)	PUNCT
fumecheng-12829	335	22	2.5.5	2.5.5	NUM
fumecheng-12829	335	23	.	.	PUNCT
fumecheng-12829	336	1	enhanced	enhance	VERB
fumecheng-12829	336	2	transverse	transverse	NOUN
fumecheng-12829	336	3	normal	normal	ADJ
fumecheng-12829	336	4	strains	strain	NOUN
fumecheng-12829	336	5	approximation	approximation	NOUN
fumecheng-12829	336	6	the	the	DET
fumecheng-12829	336	7	enhanced	enhanced	ADJ
fumecheng-12829	336	8	strain	strain	NOUN
fumecheng-12829	336	9	field	field	NOUN
fumecheng-12829	336	10	�	�	PROPN
fumecheng-12829	336	11	̃	̃	PROPN
fumecheng-12829	336	12	�	�	PROPN
fumecheng-12829	336	13	according	accord	VERB
fumecheng-12829	336	14	to	to	ADP
fumecheng-12829	336	15	the	the	DET
fumecheng-12829	336	16	eas	eas	NOUN
fumecheng-12829	336	17	method	method	NOUN
fumecheng-12829	336	18	is	be	AUX
fumecheng-12829	336	19	expressed	express	VERB
fumecheng-12829	336	20	as	as	ADP
fumecheng-12829	336	21	following	follow	VERB
fumecheng-12829	336	22	:	:	PUNCT
fumecheng-12829	336	23	0	0	NUM
fumecheng-12829	336	24	0	0	NUM
fumecheng-12829	337	1	e	e	NOUN
fumecheng-12829	337	2	g	g	NOUN
fumecheng-12829	337	3	g	g	PROPN
fumecheng-12829	337	4	=	=	PROPN
fumecheng-12829	337	5	e	e	X
fumecheng-12829	337	6	t	t	NOUN
fumecheng-12829	337	7	mα	mα	PROPN
fumecheng-12829	337	8	(	(	PUNCT
fumecheng-12829	337	9	45	45	NUM
fumecheng-12829	337	10	)	)	PUNCT
fumecheng-12829	337	11	where	where	SCONJ
fumecheng-12829	337	12	α	α	PROPN
fumecheng-12829	337	13	refers	refer	VERB
fumecheng-12829	337	14	to	to	ADP
fumecheng-12829	337	15	the	the	DET
fumecheng-12829	337	16	internal	internal	ADJ
fumecheng-12829	337	17	variable	variable	ADJ
fumecheng-12829	337	18	vector	vector	NOUN
fumecheng-12829	337	19	.	.	PUNCT
fumecheng-12829	337	20	�	�	PROPN
fumecheng-12829	337	21	̃	̃	PROPN
fumecheng-12829	337	22	�	�	PROPN
fumecheng-12829	337	23	denotes	denote	VERB
fumecheng-12829	337	24	the	the	DET
fumecheng-12829	337	25	interpolation	interpolation	NOUN
fumecheng-12829	337	26	function	function	NOUN
fumecheng-12829	337	27	matrix	matrix	NOUN
fumecheng-12829	337	28	and	and	CCONJ
fumecheng-12829	337	29	the	the	DET
fumecheng-12829	337	30	index	index	NOUN
fumecheng-12829	337	31	‘	'	PUNCT
fumecheng-12829	337	32	0	0	NUM
fumecheng-12829	337	33	’	'	PUNCT
fumecheng-12829	337	34	represents	represent	VERB
fumecheng-12829	337	35	its	its	PRON
fumecheng-12829	337	36	evaluation	evaluation	NOUN
fumecheng-12829	337	37	at	at	ADP
fumecheng-12829	337	38	the	the	DET
fumecheng-12829	337	39	center	center	NOUN
fumecheng-12829	337	40	of	of	ADP
fumecheng-12829	337	41	the	the	DET
fumecheng-12829	337	42	element	element	NOUN
fumecheng-12829	337	43	.	.	PUNCT
fumecheng-12829	338	1	four	four	NUM
fumecheng-12829	338	2	configurations	configuration	NOUN
fumecheng-12829	338	3	of	of	ADP
fumecheng-12829	338	4	enhancement	enhancement	NOUN
fumecheng-12829	338	5	for	for	ADP
fumecheng-12829	338	6	the	the	DET
fumecheng-12829	338	7	�	�	PROPN
fumecheng-12829	338	8	̃	̃	PROPN
fumecheng-12829	338	9	�	�	NOUN
fumecheng-12829	338	10	matrix	matrix	NOUN
fumecheng-12829	338	11	are	be	AUX
fumecheng-12829	338	12	developed	develop	VERB
fumecheng-12829	338	13	with	with	ADP
fumecheng-12829	338	14	one	one	NUM
fumecheng-12829	338	15	,	,	PUNCT
fumecheng-12829	338	16	four	four	NUM
fumecheng-12829	338	17	,	,	PUNCT
fumecheng-12829	338	18	five	five	NUM
fumecheng-12829	338	19	,	,	PUNCT
fumecheng-12829	338	20	or	or	CCONJ
fumecheng-12829	338	21	eight	eight	NUM
fumecheng-12829	338	22	parameters	parameter	NOUN
fumecheng-12829	338	23	.	.	PUNCT
fumecheng-12829	339	1	in	in	ADP
fumecheng-12829	339	2	eq	eq	ADP
fumecheng-12829	339	3	.	.	PUNCT
fumecheng-12829	340	1	(	(	PUNCT
fumecheng-12829	340	2	18	18	NUM
fumecheng-12829	340	3	)	)	PUNCT
fumecheng-12829	340	4	,	,	PUNCT
fumecheng-12829	340	5	a	a	DET
fumecheng-12829	340	6	linear	linear	ADJ
fumecheng-12829	340	7	distribution	distribution	NOUN
fumecheng-12829	340	8	is	be	AUX
fumecheng-12829	340	9	assumed	assume	VERB
fumecheng-12829	340	10	along	along	ADP
fumecheng-12829	340	11	the	the	DET
fumecheng-12829	340	12	shell	shell	ADJ
fumecheng-12829	340	13	thickness	thickness	NOUN
fumecheng-12829	340	14	for	for	SCONJ
fumecheng-12829	340	15	the	the	DET
fumecheng-12829	340	16	in	in	ADP
fumecheng-12829	340	17	-	-	PUNCT
fumecheng-12829	340	18	plane	plane	NOUN
fumecheng-12829	340	19	normal	normal	ADJ
fumecheng-12829	340	20	strains	strain	VERB
fumecheng-12829	340	21	𝐸𝛼𝛽	𝐸𝛼𝛽	PROPN
fumecheng-12829	340	22	𝑐	𝑐	PROPN
fumecheng-12829	340	23	and	and	CCONJ
fumecheng-12829	340	24	𝐸𝛼3	𝐸𝛼3	NOUN
fumecheng-12829	340	25	𝑐	𝑐	NOUN
fumecheng-12829	340	26	,	,	PUNCT
fumecheng-12829	340	27	while	while	SCONJ
fumecheng-12829	340	28	the	the	DET
fumecheng-12829	340	29	transverse	transverse	NOUN
fumecheng-12829	340	30	normal	normal	ADJ
fumecheng-12829	340	31	strain	strain	NOUN
fumecheng-12829	340	32	�	�	PROPN
fumecheng-12829	340	33	̃	̃	PROPN
fumecheng-12829	340	34	�	�	NOUN
fumecheng-12829	340	35	33	33	NUM
fumecheng-12829	340	36	is	be	AUX
fumecheng-12829	340	37	presumed	presume	VERB
fumecheng-12829	340	38	constant	constant	ADJ
fumecheng-12829	340	39	with	with	ADP
fumecheng-12829	340	40	respect	respect	NOUN
fumecheng-12829	340	41	to	to	ADP
fumecheng-12829	340	42	the	the	DET
fumecheng-12829	340	43	thickness	thickness	NOUN
fumecheng-12829	340	44	coordinate	coordinate	NOUN
fumecheng-12829	341	1	z.	z.	PROPN
fumecheng-12829	342	1	this	this	DET
fumecheng-12829	342	2	constant	constant	ADJ
fumecheng-12829	342	3	distribution	distribution	NOUN
fumecheng-12829	342	4	may	may	AUX
fumecheng-12829	342	5	result	result	VERB
fumecheng-12829	342	6	in	in	ADP
fumecheng-12829	342	7	artificial	artificial	ADJ
fumecheng-12829	342	8	stresses	stress	NOUN
fumecheng-12829	342	9	in	in	ADP
fumecheng-12829	342	10	the	the	DET
fumecheng-12829	342	11	thickness	thickness	NOUN
fumecheng-12829	342	12	direction	direction	NOUN
fumecheng-12829	342	13	.	.	PUNCT
fumecheng-12829	343	1	to	to	PART
fumecheng-12829	343	2	address	address	VERB
fumecheng-12829	343	3	this	this	DET
fumecheng-12829	343	4	issue	issue	NOUN
fumecheng-12829	343	5	,	,	PUNCT
fumecheng-12829	343	6	the	the	DET
fumecheng-12829	343	7	transverse	transverse	ADJ
fumecheng-12829	343	8	normal	normal	ADJ
fumecheng-12829	343	9	strain	strain	NOUN
fumecheng-12829	343	10	𝐸33	𝐸33	PROPN
fumecheng-12829	343	11	𝑐	𝑐	PROPN
fumecheng-12829	343	12	should	should	AUX
fumecheng-12829	343	13	be	be	AUX
fumecheng-12829	343	14	augmented	augment	VERB
fumecheng-12829	343	15	by	by	ADP
fumecheng-12829	343	16	an	an	DET
fumecheng-12829	343	17	additional	additional	ADJ
fumecheng-12829	343	18	linear	linear	ADJ
fumecheng-12829	343	19	strain	strain	NOUN
fumecheng-12829	343	20	�	�	PROPN
fumecheng-12829	343	21	̃	̃	PROPN
fumecheng-12829	343	22	�	�	NOUN
fumecheng-12829	343	23	33	33	NUM
fumecheng-12829	343	24	.	.	PUNCT
fumecheng-12829	344	1	this	this	DET
fumecheng-12829	344	2	enhancement	enhancement	NOUN
fumecheng-12829	344	3	component	component	NOUN
fumecheng-12829	344	4	is	be	AUX
fumecheng-12829	344	5	introduced	introduce	VERB
fumecheng-12829	344	6	discretely	discretely	ADV
fumecheng-12829	344	7	using	use	VERB
fumecheng-12829	344	8	the	the	DET
fumecheng-12829	344	9	enhanced	enhanced	ADJ
fumecheng-12829	344	10	assumed	assume	VERB
fumecheng-12829	344	11	strain	strain	NOUN
fumecheng-12829	344	12	(	(	PUNCT
fumecheng-12829	344	13	eas	ea	NOUN
fumecheng-12829	344	14	)	)	PUNCT
fumecheng-12829	344	15	concept	concept	NOUN
fumecheng-12829	344	16	.	.	PUNCT
fumecheng-12829	345	1	according	accord	VERB
fumecheng-12829	345	2	to	to	ADP
fumecheng-12829	345	3	the	the	DET
fumecheng-12829	345	4	eas	eas	PROPN
fumecheng-12829	345	5	approach	approach	NOUN
fumecheng-12829	345	6	,	,	PUNCT
fumecheng-12829	345	7	the	the	DET
fumecheng-12829	345	8	interpolation	interpolation	NOUN
fumecheng-12829	345	9	of	of	ADP
fumecheng-12829	345	10	�	�	PROPN
fumecheng-12829	345	11	̃	̃	PROPN
fumecheng-12829	345	12	�	�	NOUN
fumecheng-12829	345	13	33	33	NUM
fumecheng-12829	345	14	is	be	AUX
fumecheng-12829	345	15	treated	treat	VERB
fumecheng-12829	345	16	independently	independently	ADV
fumecheng-12829	345	17	for	for	ADP
fumecheng-12829	345	18	each	each	DET
fumecheng-12829	345	19	element	element	NOUN
fumecheng-12829	345	20	and	and	CCONJ
fumecheng-12829	345	21	is	be	AUX
fumecheng-12829	345	22	introduced	introduce	VERB
fumecheng-12829	345	23	via	via	ADP
fumecheng-12829	345	24	additional	additional	ADJ
fumecheng-12829	345	25	parameters	parameter	NOUN
fumecheng-12829	345	26	,	,	PUNCT
fumecheng-12829	345	27	which	which	PRON
fumecheng-12829	345	28	are	be	AUX
fumecheng-12829	345	29	condensed	condense	VERB
fumecheng-12829	345	30	within	within	ADP
fumecheng-12829	345	31	the	the	DET
fumecheng-12829	345	32	element	element	NOUN
fumecheng-12829	345	33	.	.	PUNCT
fumecheng-12829	346	1	the	the	DET
fumecheng-12829	346	2	following	follow	VERB
fumecheng-12829	346	3	enhancement	enhancement	NOUN
fumecheng-12829	346	4	is	be	AUX
fumecheng-12829	346	5	achieved	achieve	VERB
fumecheng-12829	346	6	using	use	VERB
fumecheng-12829	346	7	either	either	CCONJ
fumecheng-12829	346	8	one	one	NUM
fumecheng-12829	346	9	or	or	CCONJ
fumecheng-12829	346	10	four	four	NUM
fumecheng-12829	346	11	additional	additional	ADJ
fumecheng-12829	346	12	parameters	parameter	NOUN
fumecheng-12829	346	13	.	.	PUNCT
fumecheng-12829	347	1	the	the	DET
fumecheng-12829	347	2	expression	expression	NOUN
fumecheng-12829	347	3	of	of	ADP
fumecheng-12829	347	4	the	the	DET
fumecheng-12829	347	5	interpolation	interpolation	NOUN
fumecheng-12829	347	6	matrix	matrix	NOUN
fumecheng-12829	347	7	when	when	SCONJ
fumecheng-12829	347	8	considering	consider	VERB
fumecheng-12829	347	9	one	one	NUM
fumecheng-12829	347	10	additional	additional	ADJ
fumecheng-12829	347	11	parameter	parameter	NOUN
fumecheng-12829	347	12	,	,	PUNCT
fumecheng-12829	347	13	�	�	PROPN
fumecheng-12829	347	14	̃	̃	PROPN
fumecheng-12829	347	15	�	�	NOUN
fumecheng-12829	347	16	1	1	NUM
fumecheng-12829	347	17	is	be	AUX
fumecheng-12829	347	18	introduced	introduce	VERB
fumecheng-12829	347	19	as	as	SCONJ
fumecheng-12829	347	20	follows	follow	VERB
fumecheng-12829	347	21	:	:	PUNCT
fumecheng-12829	347	22			ADJ
fumecheng-12829	347	23	1	1	NOUN
fumecheng-12829	347	24	2	2	NUM
fumecheng-12829	347	25	0	0	NUM
fumecheng-12829	347	26	0	0	NUM
fumecheng-12829	347	27	0	0	NUM
fumecheng-12829	347	28	0	0	NUM
fumecheng-12829	347	29	0	0	NUM
fumecheng-12829	347	30	t	t	PROPN
fumecheng-12829	347	31	z	z	NOUN
fumecheng-12829	347	32	,	,	PUNCT
fumecheng-12829	347	33	h	h	PRON
fumecheng-12829	347	34			X
fumecheng-12829	348	1	=	=	PROPN
fumecheng-12829	348	2	=	=	SYM
fumecheng-12829	348	3	m	m	X
fumecheng-12829	348	4	(	(	PUNCT
fumecheng-12829	348	5	46	46	NUM
fumecheng-12829	348	6	)	)	PUNCT
fumecheng-12829	348	7	next	next	ADV
fumecheng-12829	348	8	,	,	PUNCT
fumecheng-12829	348	9	the	the	DET
fumecheng-12829	348	10	variation	variation	NOUN
fumecheng-12829	348	11	of	of	ADP
fumecheng-12829	348	12	the	the	DET
fumecheng-12829	348	13	generalized	generalized	ADJ
fumecheng-12829	348	14	incompatible	incompatible	ADJ
fumecheng-12829	348	15	strain	strain	NOUN
fumecheng-12829	348	16	𝛅	𝛅	PROPN
fumecheng-12829	348	17	�	�	PROPN
fumecheng-12829	348	18	̃	̃	PROPN
fumecheng-12829	348	19	�	�	PROPN
fumecheng-12829	348	20	is	be	AUX
fumecheng-12829	348	21	determined	determine	VERB
fumecheng-12829	348	22	using	use	VERB
fumecheng-12829	348	23	the	the	DET
fumecheng-12829	348	24	interpolation	interpolation	NOUN
fumecheng-12829	348	25	matrix	matrix	NOUN
fumecheng-12829	348	26	�	�	PROPN
fumecheng-12829	348	27	̃	̃	PROPN
fumecheng-12829	348	28	�	�	NOUN
fumecheng-12829	348	29	1	1	NUM
fumecheng-12829	348	30	defined	define	VERB
fumecheng-12829	348	31	in	in	ADP
fumecheng-12829	348	32	the	the	DET
fumecheng-12829	348	33	curvilinear	curvilinear	ADJ
fumecheng-12829	348	34	basis	basis	NOUN
fumecheng-12829	348	35	(	(	PUNCT
fumecheng-12829	348	36	refer	refer	VERB
fumecheng-12829	348	37	to	to	ADP
fumecheng-12829	348	38	appendix	appendix	VERB
fumecheng-12829	348	39	b	b	NOUN
fumecheng-12829	348	40	)	)	PUNCT
fumecheng-12829	348	41	,	,	PUNCT
fumecheng-12829	348	42	as	as	SCONJ
fumecheng-12829	348	43	follows	follow	VERB
fumecheng-12829	348	44	:	:	PUNCT
fumecheng-12829	348	45	842	842	NUM
fumecheng-12829	348	46	h.	h.	PROPN
fumecheng-12829	348	47	mallek	mallek	PROPN
fumecheng-12829	348	48	,	,	PUNCT
fumecheng-12829	348	49	h.	h.	PROPN
fumecheng-12829	348	50	mellouli	mellouli	PROPN
fumecheng-12829	348	51	,	,	PUNCT
fumecheng-12829	348	52	l.	l.	PROPN
fumecheng-12829	348	53	ben	ben	PROPN
fumecheng-12829	348	54	said	say	VERB
fumecheng-12829	348	55	,	,	PUNCT
fumecheng-12829	348	56	m.	m.	PROPN
fumecheng-12829	348	57	wali	wali	PROPN
fumecheng-12829	348	58	,	,	PUNCT
fumecheng-12829	348	59	f.	f.	PROPN
fumecheng-12829	348	60	dammak	dammak	PROPN
fumecheng-12829	348	61	,	,	PUNCT
fumecheng-12829	348	62	m.	m.	NOUN
fumecheng-12829	348	63	alhadri	alhadri	ADJ
fumecheng-12829	349	1	1	1	NUM
fumecheng-12829	349	2	=σ	=σ	NUM
fumecheng-12829	349	3	b	b	NOUN
fumecheng-12829	349	4			NOUN
fumecheng-12829	349	5	(	(	PUNCT
fumecheng-12829	349	6	47	47	NUM
fumecheng-12829	349	7	)	)	PUNCT
fumecheng-12829	349	8	if	if	SCONJ
fumecheng-12829	349	9	four	four	NUM
fumecheng-12829	349	10	strain	strain	NOUN
fumecheng-12829	349	11	-	-	PUNCT
fumecheng-12829	349	12	supplemented	supplement	VERB
fumecheng-12829	349	13	parameters	parameter	NOUN
fumecheng-12829	349	14	are	be	AUX
fumecheng-12829	349	15	taken	take	VERB
fumecheng-12829	349	16	into	into	ADP
fumecheng-12829	349	17	account	account	NOUN
fumecheng-12829	349	18	,	,	PUNCT
fumecheng-12829	349	19	the	the	DET
fumecheng-12829	349	20	expression	expression	NOUN
fumecheng-12829	349	21	of	of	ADP
fumecheng-12829	349	22	the	the	DET
fumecheng-12829	349	23	interpolation	interpolation	NOUN
fumecheng-12829	349	24	matrix	matrix	NOUN
fumecheng-12829	349	25	�	�	PROPN
fumecheng-12829	349	26	̃	̃	PROPN
fumecheng-12829	349	27	�	�	NOUN
fumecheng-12829	349	28	4	4	NUM
fumecheng-12829	349	29	can	can	AUX
fumecheng-12829	349	30	be	be	AUX
fumecheng-12829	349	31	described	describe	VERB
fumecheng-12829	349	32	as	as	ADP
fumecheng-12829	349	33	outlined	outline	VERB
fumecheng-12829	349	34	in	in	ADP
fumecheng-12829	349	35	appendix	appendix	PROPN
fumecheng-12829	349	36	b.	b.	PROPN
fumecheng-12829	350	1	2.5.6	2.5.6	X
fumecheng-12829	350	2	.	.	PUNCT
fumecheng-12829	350	3	enhanced	enhance	VERB
fumecheng-12829	350	4	membrane	membrane	NOUN
fumecheng-12829	350	5	strains	strain	NOUN
fumecheng-12829	350	6	approximation	approximation	NOUN
fumecheng-12829	350	7	to	to	PART
fumecheng-12829	350	8	tackle	tackle	VERB
fumecheng-12829	350	9	the	the	DET
fumecheng-12829	350	10	membrane	membrane	NOUN
fumecheng-12829	350	11	locking	locking	NOUN
fumecheng-12829	350	12	,	,	PUNCT
fumecheng-12829	350	13	the	the	DET
fumecheng-12829	350	14	eas	eas	NOUN
fumecheng-12829	350	15	method	method	NOUN
fumecheng-12829	350	16	is	be	AUX
fumecheng-12829	350	17	employed	employ	VERB
fumecheng-12829	350	18	.	.	PUNCT
fumecheng-12829	351	1	within	within	ADP
fumecheng-12829	351	2	this	this	DET
fumecheng-12829	351	3	approach	approach	NOUN
fumecheng-12829	351	4	,	,	PUNCT
fumecheng-12829	351	5	the	the	DET
fumecheng-12829	351	6	membrane	membrane	NOUN
fumecheng-12829	351	7	strains	strain	NOUN
fumecheng-12829	351	8	are	be	AUX
fumecheng-12829	351	9	enhanced	enhance	VERB
fumecheng-12829	351	10	through	through	ADP
fumecheng-12829	351	11	incompatible	incompatible	ADJ
fumecheng-12829	351	12	strains	strain	NOUN
fumecheng-12829	351	13	.	.	PUNCT
fumecheng-12829	352	1	hence	hence	ADV
fumecheng-12829	352	2	,	,	PUNCT
fumecheng-12829	352	3	selecting	select	VERB
fumecheng-12829	352	4	the	the	DET
fumecheng-12829	352	5	additional	additional	ADJ
fumecheng-12829	352	6	enhanced	enhanced	ADJ
fumecheng-12829	352	7	strain	strain	NOUN
fumecheng-12829	352	8	modes	mode	NOUN
fumecheng-12829	352	9	is	be	AUX
fumecheng-12829	352	10	crucial	crucial	ADJ
fumecheng-12829	352	11	.	.	PUNCT
fumecheng-12829	353	1	four	four	NUM
fumecheng-12829	353	2	bilinear	bilinear	NOUN
fumecheng-12829	353	3	enhanced	enhance	VERB
fumecheng-12829	353	4	strain	strain	NOUN
fumecheng-12829	353	5	components	component	NOUN
fumecheng-12829	353	6	can	can	AUX
fumecheng-12829	353	7	be	be	AUX
fumecheng-12829	353	8	incorporated	incorporate	VERB
fumecheng-12829	353	9	to	to	PART
fumecheng-12829	353	10	form	form	VERB
fumecheng-12829	353	11	a	a	DET
fumecheng-12829	353	12	complete	complete	ADJ
fumecheng-12829	353	13	polynomial	polynomial	NOUN
fumecheng-12829	353	14	,	,	PUNCT
fumecheng-12829	353	15	resulting	result	VERB
fumecheng-12829	353	16	in	in	ADP
fumecheng-12829	353	17	:	:	PUNCT
fumecheng-12829	353	18	1	1	NUM
fumecheng-12829	353	19	11	11	NUM
fumecheng-12829	353	20	2	2	NUM
fumecheng-12829	353	21	22	22	NUM
fumecheng-12829	353	22	1	1	NUM
fumecheng-12829	353	23	2	2	NUM
fumecheng-12829	353	24	12	12	NUM
fumecheng-12829	353	25	0	0	NUM
fumecheng-12829	353	26	0	0	NUM
fumecheng-12829	353	27	0	0	NUM
fumecheng-12829	353	28	span	span	NOUN
fumecheng-12829	353	29	0	0	NUM
fumecheng-12829	353	30	0	0	NUM
fumecheng-12829	353	31	0	0	NUM
fumecheng-12829	353	32	2	2	NUM
fumecheng-12829	353	33	0	0	NUM
fumecheng-12829	353	34	0	0	NUM
fumecheng-12829	354	1	e	e	NOUN
fumecheng-12829	354	2	e	e	X
fumecheng-12829	354	3	e	e	X
fumecheng-12829	354	4			NOUN
fumecheng-12829	354	5			VERB
fumecheng-12829	354	6			VERB
fumecheng-12829	354	7			X
fumecheng-12829	354	8			PROPN
fumecheng-12829	354	9			PROPN
fumecheng-12829	354	10			VERB
fumecheng-12829	354	11			NOUN
fumecheng-12829	354	12			PROPN
fumecheng-12829	354	13			NOUN
fumecheng-12829	354	14			PROPN
fumecheng-12829	354	15			NOUN
fumecheng-12829	354	16			PROPN
fumecheng-12829	354	17			NOUN
fumecheng-12829	354	18			PROPN
fumecheng-12829	354	19			VERB
fumecheng-12829	354	20			VERB
fumecheng-12829	354	21			ADJ
fumecheng-12829	354	22			NOUN
fumecheng-12829	355	1			PROPN
fumecheng-12829	356	1			INTJ
fumecheng-12829	357	1			PROPN
fumecheng-12829	358	1			PROPN
fumecheng-12829	359	1			PROPN
fumecheng-12829	359	2			PROPN
fumecheng-12829	359	3			PROPN
fumecheng-12829	359	4			NOUN
fumecheng-12829	359	5			VERB
fumecheng-12829	359	6			ADJ
fumecheng-12829	359	7			NOUN
fumecheng-12829	360	1			PROPN
fumecheng-12829	361	1			INTJ
fumecheng-12829	362	1			PROPN
fumecheng-12829	363	1			INTJ
fumecheng-12829	364	1			PROPN
fumecheng-12829	365	1			INTJ
fumecheng-12829	366	1			PROPN
fumecheng-12829	367	1			INTJ
fumecheng-12829	368	1			PROPN
fumecheng-12829	369	1			PROPN
fumecheng-12829	370	1			PROPN
fumecheng-12829	370	2			PROPN
fumecheng-12829	370	3			VERB
fumecheng-12829	370	4			ADJ
fumecheng-12829	370	5			ADJ
fumecheng-12829	371	1			ADJ
fumecheng-12829	371	2			NUM
fumecheng-12829	371	3			PROPN
fumecheng-12829	371	4			NOUN
fumecheng-12829	371	5			PROPN
fumecheng-12829	371	6			PROPN
fumecheng-12829	371	7			PROPN
fumecheng-12829	371	8			PROPN
fumecheng-12829	371	9			PROPN
fumecheng-12829	371	10			PROPN
fumecheng-12829	371	11			ADJ
fumecheng-12829	371	12			PROPN
fumecheng-12829	371	13			NOUN
fumecheng-12829	371	14	(	(	PUNCT
fumecheng-12829	371	15	48	48	NUM
fumecheng-12829	371	16	)	)	PUNCT
fumecheng-12829	371	17	this	this	DET
fumecheng-12829	371	18	technique	technique	NOUN
fumecheng-12829	371	19	was	be	AUX
fumecheng-12829	371	20	initially	initially	ADV
fumecheng-12829	371	21	explored	explore	VERB
fumecheng-12829	371	22	by	by	ADP
fumecheng-12829	371	23	bischoff	bischoff	NOUN
fumecheng-12829	371	24	and	and	CCONJ
fumecheng-12829	371	25	ramm	ramm	PRON
fumecheng-12829	372	1	[	[	X
fumecheng-12829	372	2	31	31	NUM
fumecheng-12829	372	3	]	]	PUNCT
fumecheng-12829	372	4	to	to	PART
fumecheng-12829	372	5	improve	improve	VERB
fumecheng-12829	372	6	the	the	DET
fumecheng-12829	372	7	compatible	compatible	ADJ
fumecheng-12829	372	8	membrane	membrane	NOUN
fumecheng-12829	372	9	strains	strain	NOUN
fumecheng-12829	372	10	.	.	PUNCT
fumecheng-12829	373	1	the	the	DET
fumecheng-12829	373	2	interpolation	interpolation	NOUN
fumecheng-12829	373	3	for	for	ADP
fumecheng-12829	373	4	the	the	DET
fumecheng-12829	373	5	enhanced	enhance	VERB
fumecheng-12829	373	6	strains	strain	NOUN
fumecheng-12829	373	7	can	can	AUX
fumecheng-12829	373	8	now	now	ADV
fumecheng-12829	373	9	be	be	AUX
fumecheng-12829	373	10	articulated	articulate	VERB
fumecheng-12829	373	11	as	as	SCONJ
fumecheng-12829	373	12	follows	follow	VERB
fumecheng-12829	373	13	:	:	PUNCT
fumecheng-12829	373	14	1	1	NUM
fumecheng-12829	373	15	1	1	NUM
fumecheng-12829	373	16	1	1	NUM
fumecheng-12829	373	17	2	2	NUM
fumecheng-12829	373	18	0	0	NUM
fumecheng-12829	373	19	2	2	NUM
fumecheng-12829	373	20	4	4	NUM
fumecheng-12829	373	21	4	4	NUM
fumecheng-12829	373	22	4	4	NUM
fumecheng-12829	373	23	4	4	NUM
fumecheng-12829	373	24	2	2	NUM
fumecheng-12829	373	25	0	0	NUM
fumecheng-12829	373	26	1	1	NUM
fumecheng-12829	373	27	2	2	NUM
fumecheng-12829	373	28	3	3	NUM
fumecheng-12829	373	29	3	3	NUM
fumecheng-12829	373	30	0	0	NUM
fumecheng-12829	373	31	0	0	NUM
fumecheng-12829	373	32	0	0	NUM
fumecheng-12829	373	33	,	,	PUNCT
fumecheng-12829	373	34	,	,	PUNCT
fumecheng-12829	373	35	0	0	NUM
fumecheng-12829	373	36	0	0	NUM
fumecheng-12829	373	37	0	0	NUM
fumecheng-12829	373	38	0	0	NUM
fumecheng-12829	373	39	0	0	NUM
fumecheng-12829	373	40	t	t	PROPN
fumecheng-12829	374	1	a	a	DET
fumecheng-12829	374	2	a	a	DET
fumecheng-12829	374	3			NOUN
fumecheng-12829	374	4			NOUN
fumecheng-12829	374	5			NOUN
fumecheng-12829	374	6			NOUN
fumecheng-12829	374	7	−	−	PROPN
fumecheng-12829	374	8			PROPN
fumecheng-12829	374	9			PROPN
fumecheng-12829	375	1			PROPN
fumecheng-12829	375	2			ADJ
fumecheng-12829	376	1			PROPN
fumecheng-12829	376	2			PROPN
fumecheng-12829	376	3			X
fumecheng-12829	376	4			PROPN
fumecheng-12829	376	5			NOUN
fumecheng-12829	376	6			NOUN
fumecheng-12829	376	7			NOUN
fumecheng-12829	376	8	=	=	PUNCT
fumecheng-12829	376	9	=	=	PUNCT
fumecheng-12829	376	10	=	=	SYM
fumecheng-12829	376	11			NOUN
fumecheng-12829	376	12			PROPN
fumecheng-12829	376	13			PROPN
fumecheng-12829	376	14			PROPN
fumecheng-12829	376	15			PROPN
fumecheng-12829	376	16			PROPN
fumecheng-12829	376	17			NOUN
fumecheng-12829	376	18			NOUN
fumecheng-12829	376	19			VERB
fumecheng-12829	376	20			PROPN
fumecheng-12829	376	21			NOUN
fumecheng-12829	376	22			PROPN
fumecheng-12829	376	23			VERB
fumecheng-12829	376	24			PROPN
fumecheng-12829	376	25	g	g	PROPN
fumecheng-12829	376	26	g	g	PROPN
fumecheng-12829	376	27	g	g	PROPN
fumecheng-12829	376	28	e	e	X
fumecheng-12829	376	29	g	g	PROPN
fumecheng-12829	376	30	α	α	PRON
fumecheng-12829	376	31	g	g	PROPN
fumecheng-12829	376	32	g	g	PROPN
fumecheng-12829	376	33	t	t	PROPN
fumecheng-12829	376	34	0	0	NUM
fumecheng-12829	376	35	g	g	PROPN
fumecheng-12829	376	36	g	g	PROPN
fumecheng-12829	376	37			PROPN
fumecheng-12829	376	38	(	(	PUNCT
fumecheng-12829	376	39	49	49	NUM
fumecheng-12829	376	40	)	)	PUNCT
fumecheng-12829	376	41	where	where	SCONJ
fumecheng-12829	376	42	𝑇𝟎	𝑇𝟎	PROPN
fumecheng-12829	376	43	is	be	AUX
fumecheng-12829	376	44	the	the	DET
fumecheng-12829	376	45	following	follow	VERB
fumecheng-12829	376	46	matrix	matrix	NOUN
fumecheng-12829	376	47	evaluated	evaluate	VERB
fumecheng-12829	376	48	at	at	ADP
fumecheng-12829	376	49	the	the	DET
fumecheng-12829	376	50	center	center	NOUN
fumecheng-12829	376	51	of	of	ADP
fumecheng-12829	376	52	the	the	DET
fumecheng-12829	376	53	element	element	NOUN
fumecheng-12829	376	54	as	as	ADP
fumecheng-12829	376	55	:	:	PUNCT
fumecheng-12829	376	56	2	2	NUM
fumecheng-12829	376	57	2	2	NUM
fumecheng-12829	376	58	2	2	NUM
fumecheng-12829	376	59	2	2	NUM
fumecheng-12829	376	60	11	11	NUM
fumecheng-12829	376	61	21	21	NUM
fumecheng-12829	376	62	11	11	NUM
fumecheng-12829	376	63	21	21	NUM
fumecheng-12829	376	64	2	2	NUM
fumecheng-12829	376	65	2	2	NUM
fumecheng-12829	376	66	2	2	NUM
fumecheng-12829	376	67	2	2	NUM
fumecheng-12829	376	68	12	12	NUM
fumecheng-12829	376	69	22	22	NUM
fumecheng-12829	376	70	22	22	NUM
fumecheng-12829	376	71	12	12	NUM
fumecheng-12829	376	72	2	2	NUM
fumecheng-12829	376	73	2	2	NUM
fumecheng-12829	376	74	2	2	NUM
fumecheng-12829	376	75	2	2	NUM
fumecheng-12829	376	76	2	2	NUM
fumecheng-12829	376	77	2	2	NUM
fumecheng-12829	376	78	2	2	NUM
fumecheng-12829	376	79	2	2	NUM
fumecheng-12829	376	80	11	11	NUM
fumecheng-12829	376	81	12	12	NUM
fumecheng-12829	376	82	22	22	NUM
fumecheng-12829	376	83	21	21	NUM
fumecheng-12829	376	84	11	11	NUM
fumecheng-12829	376	85	22	22	NUM
fumecheng-12829	376	86	12	12	NUM
fumecheng-12829	376	87	21	21	NUM
fumecheng-12829	376	88	2	2	NUM
fumecheng-12829	376	89	2	2	NUM
fumecheng-12829	376	90	j	j	PROPN
fumecheng-12829	377	1	j	j	PROPN
fumecheng-12829	378	1	j	j	PROPN
fumecheng-12829	379	1	j	j	PROPN
fumecheng-12829	380	1	j	j	PROPN
fumecheng-12829	381	1	j	j	PROPN
fumecheng-12829	382	1	j	j	PROPN
fumecheng-12829	383	1	j	j	PROPN
fumecheng-12829	384	1	j	j	PROPN
fumecheng-12829	385	1	j	j	PROPN
fumecheng-12829	386	1	j	j	PROPN
fumecheng-12829	387	1	j	j	PROPN
fumecheng-12829	388	1	j	j	PROPN
fumecheng-12829	389	1	j	j	PROPN
fumecheng-12829	390	1	j	j	PROPN
fumecheng-12829	391	1	j	j	PROPN
fumecheng-12829	391	2			PROPN
fumecheng-12829	391	3			NOUN
fumecheng-12829	391	4			NOUN
fumecheng-12829	391	5			NOUN
fumecheng-12829	391	6	=	=	SYM
fumecheng-12829	391	7			NOUN
fumecheng-12829	391	8			NOUN
fumecheng-12829	391	9			NOUN
fumecheng-12829	391	10	+	+	NOUN
fumecheng-12829	391	11			PROPN
fumecheng-12829	391	12	t	t	PROPN
fumecheng-12829	391	13	(	(	PUNCT
fumecheng-12829	391	14	50	50	NUM
fumecheng-12829	391	15	)	)	PUNCT
fumecheng-12829	391	16	here	here	ADV
fumecheng-12829	391	17	,	,	PUNCT
fumecheng-12829	391	18	𝐽𝛼𝛽	𝐽𝛼𝛽	PROPN
fumecheng-12829	391	19	represent	represent	VERB
fumecheng-12829	391	20	the	the	DET
fumecheng-12829	391	21	jacobian	jacobian	ADJ
fumecheng-12829	391	22	components	component	NOUN
fumecheng-12829	391	23	expressed	express	VERB
fumecheng-12829	391	24	in	in	ADP
fumecheng-12829	391	25	eq	eq	PROPN
fumecheng-12829	391	26	.	.	PUNCT
fumecheng-12829	392	1	(	(	PUNCT
fumecheng-12829	392	2	36	36	NUM
fumecheng-12829	392	3	)	)	PUNCT
fumecheng-12829	392	4	.	.	PUNCT
fumecheng-12829	393	1	the	the	DET
fumecheng-12829	393	2	fifth	fifth	ADJ
fumecheng-12829	393	3	and	and	CCONJ
fumecheng-12829	393	4	eighth	eighth	ADJ
fumecheng-12829	393	5	strain	strain	NOUN
fumecheng-12829	393	6	parameters	parameter	NOUN
fumecheng-12829	393	7	are	be	AUX
fumecheng-12829	393	8	then	then	ADV
fumecheng-12829	393	9	derived	derive	VERB
fumecheng-12829	393	10	,	,	PUNCT
fumecheng-12829	393	11	considering	consider	VERB
fumecheng-12829	393	12	not	not	PART
fumecheng-12829	393	13	only	only	ADV
fumecheng-12829	393	14	the	the	DET
fumecheng-12829	393	15	enhanced	enhanced	ADJ
fumecheng-12829	393	16	thickness	thickness	NOUN
fumecheng-12829	393	17	strain	strain	NOUN
fumecheng-12829	393	18	component	component	NOUN
fumecheng-12829	393	19	but	but	CCONJ
fumecheng-12829	393	20	also	also	ADV
fumecheng-12829	393	21	the	the	DET
fumecheng-12829	393	22	membrane	membrane	NOUN
fumecheng-12829	393	23	strains	strain	NOUN
fumecheng-12829	393	24	,	,	PUNCT
fumecheng-12829	393	25	allowing	allow	VERB
fumecheng-12829	393	26	for	for	ADP
fumecheng-12829	393	27	the	the	DET
fumecheng-12829	393	28	matrices	matrix	NOUN
fumecheng-12829	393	29	�	�	PROPN
fumecheng-12829	393	30	̃	̃	NOUN
fumecheng-12829	393	31	�	�	PROPN
fumecheng-12829	393	32	5	5	NUM
fumecheng-12829	393	33	and	and	CCONJ
fumecheng-12829	393	34	�	�	PROPN
fumecheng-12829	393	35	̃	̃	PROPN
fumecheng-12829	393	36	�	�	NOUN
fumecheng-12829	393	37	8	8	NUM
fumecheng-12829	393	38	,	,	PUNCT
fumecheng-12829	393	39	as	as	SCONJ
fumecheng-12829	393	40	illustrated	illustrate	VERB
fumecheng-12829	393	41	in	in	ADP
fumecheng-12829	393	42	appendix	appendix	PROPN
fumecheng-12829	393	43	b.	b.	PROPN
fumecheng-12829	394	1	it	it	PRON
fumecheng-12829	394	2	is	be	AUX
fumecheng-12829	394	3	now	now	ADV
fumecheng-12829	394	4	appropriate	appropriate	ADJ
fumecheng-12829	394	5	to	to	PART
fumecheng-12829	394	6	summarize	summarize	VERB
fumecheng-12829	394	7	the	the	DET
fumecheng-12829	394	8	relations	relation	NOUN
fumecheng-12829	394	9	between	between	ADP
fumecheng-12829	394	10	strain	strain	NOUN
fumecheng-12829	394	11	and	and	CCONJ
fumecheng-12829	394	12	kinematic	kinematic	ADJ
fumecheng-12829	394	13	variables	variable	NOUN
fumecheng-12829	394	14	at	at	ADP
fumecheng-12829	394	15	the	the	DET
fumecheng-12829	394	16	node	node	NOUN
fumecheng-12829	394	17	for	for	ADP
fumecheng-12829	394	18	the	the	DET
fumecheng-12829	394	19	compatible	compatible	ADJ
fumecheng-12829	394	20	and	and	CCONJ
fumecheng-12829	394	21	enhanced	enhance	VERB
fumecheng-12829	394	22	strains	strain	NOUN
fumecheng-12829	394	23	in	in	ADP
fumecheng-12829	394	24	matrix	matrix	NOUN
fumecheng-12829	394	25	notation	notation	NOUN
fumecheng-12829	394	26	as	as	SCONJ
fumecheng-12829	394	27	follows	follow	VERB
fumecheng-12829	394	28	:	:	PUNCT
fumecheng-12829	394	29	.	.	PUNCT
fumecheng-12829	395	1	,	,	PUNCT
fumecheng-12829	395	2	.n	.n	PUNCT
fumecheng-12829	396	1			NUM
fumecheng-12829	396	2			NUM
fumecheng-12829	396	3	=	=	NOUN
fumecheng-12829	396	4	=	=	SYM
fumecheng-12829	396	5	σ	σ	PROPN
fumecheng-12829	396	6	b	b	PROPN
fumecheng-12829	396	7	φ	φ	PROPN
fumecheng-12829	396	8	σ	σ	PROPN
fumecheng-12829	396	9	b	b	PROPN
fumecheng-12829	396	10	α	α	PROPN
fumecheng-12829	396	11	(	(	PUNCT
fumecheng-12829	396	12	51	51	NUM
fumecheng-12829	396	13	)	)	PUNCT
fumecheng-12829	396	14	2.5.7	2.5.7	NUM
fumecheng-12829	396	15	.	.	PUNCT
fumecheng-12829	397	1	linearization	linearization	NOUN
fumecheng-12829	397	2	eq	eq	ADP
fumecheng-12829	397	3	.	.	PUNCT
fumecheng-12829	398	1	(	(	PUNCT
fumecheng-12829	398	2	24	24	NUM
fumecheng-12829	398	3	)	)	PUNCT
fumecheng-12829	398	4	delineates	delineate	VERB
fumecheng-12829	398	5	the	the	DET
fumecheng-12829	398	6	nonlinear	nonlinear	ADJ
fumecheng-12829	398	7	shell	shell	NOUN
fumecheng-12829	398	8	model	model	NOUN
fumecheng-12829	398	9	,	,	PUNCT
fumecheng-12829	398	10	which	which	PRON
fumecheng-12829	398	11	is	be	AUX
fumecheng-12829	398	12	solved	solve	VERB
fumecheng-12829	398	13	using	use	VERB
fumecheng-12829	398	14	the	the	DET
fumecheng-12829	398	15	newton	newton	PROPN
fumecheng-12829	398	16	iterative	iterative	NOUN
fumecheng-12829	398	17	algorithm	algorithm	PROPN
fumecheng-12829	398	18	.	.	PUNCT
fumecheng-12829	399	1	the	the	DET
fumecheng-12829	399	2	consistent	consistent	ADJ
fumecheng-12829	399	3	tangent	tangent	NOUN
fumecheng-12829	399	4	operator	operator	NOUN
fumecheng-12829	399	5	for	for	ADP
fumecheng-12829	399	6	the	the	DET
fumecheng-12829	399	7	newton	newton	PROPN
fumecheng-12829	399	8	procedure	procedure	NOUN
fumecheng-12829	399	9	can	can	AUX
fumecheng-12829	399	10	be	be	AUX
fumecheng-12829	399	11	derived	derive	VERB
fumecheng-12829	399	12	from	from	ADP
fumecheng-12829	399	13	the	the	DET
fumecheng-12829	399	14	directional	directional	ADJ
fumecheng-12829	399	15	derivative	derivative	NOUN
fumecheng-12829	399	16	of	of	ADP
fumecheng-12829	399	17	the	the	DET
fumecheng-12829	399	18	weak	weak	ADJ
fumecheng-12829	399	19	form	form	NOUN
fumecheng-12829	399	20	in	in	ADP
fumecheng-12829	399	21	the	the	DET
fumecheng-12829	399	22	direction	direction	NOUN
fumecheng-12829	399	23	of	of	ADP
fumecheng-12829	399	24	the	the	DET
fumecheng-12829	399	25	increment	increment	NOUN
fumecheng-12829	399	26	δφ	δφ	NOUN
fumecheng-12829	399	27	:	:	PUNCT
fumecheng-12829	399	28	porosity	porosity	NOUN
fumecheng-12829	399	29	effects	effect	NOUN
fumecheng-12829	399	30	on	on	ADP
fumecheng-12829	399	31	nonlinear	nonlinear	ADJ
fumecheng-12829	399	32	static	static	ADJ
fumecheng-12829	399	33	performances	performance	NOUN
fumecheng-12829	399	34	of	of	ADP
fumecheng-12829	399	35	fg	fg	PROPN
fumecheng-12829	399	36	shells	shell	NOUN
fumecheng-12829	399	37	considering	consider	VERB
fumecheng-12829	399	38	thickness	thickness	NOUN
fumecheng-12829	399	39	stretching	stretch	VERB
fumecheng-12829	399	40	843	843	NUM
fumecheng-12829	399	41			ADJ
fumecheng-12829	399	42			ADP
fumecheng-12829	399	43	0	0	NUM
fumecheng-12829	400	1	t	t	PROPN
fumecheng-12829	400	2	int	int	NOUN
fumecheng-12829	400	3	ext	ext	PROPN
fumecheng-12829	400	4	t	t	PROPN
fumecheng-12829	400	5	n	n	PROPN
fumecheng-12829	400	6	nw	nw	PROPN
fumecheng-12829	400	7	dw	dw	PROPN
fumecheng-12829	400	8			PUNCT
fumecheng-12829	401	1			PROPN
fumecheng-12829	401	2			NUM
fumecheng-12829	401	3			NOUN
fumecheng-12829	401	4			NOUN
fumecheng-12829	401	5			ADV
fumecheng-12829	401	6			VERB
fumecheng-12829	401	7			PROPN
fumecheng-12829	401	8	−	−	NOUN
fumecheng-12829	401	9			PROPN
fumecheng-12829	401	10	+	+	PUNCT
fumecheng-12829	401	11	=	=	PUNCT
fumecheng-12829	402	1	+	+	CCONJ
fumecheng-12829	402	2	=	=	ADJ
fumecheng-12829	402	3			ADJ
fumecheng-12829	402	4			NOUN
fumecheng-12829	402	5			VERB
fumecheng-12829	402	6			PROPN
fumecheng-12829	402	7			NOUN
fumecheng-12829	402	8			NOUN
fumecheng-12829	402	9			PROPN
fumecheng-12829	403	1			PROPN
fumecheng-12829	403	2			PROPN
fumecheng-12829	403	3			PROPN
fumecheng-12829	403	4			VERB
fumecheng-12829	403	5			VERB
fumecheng-12829	403	6			NOUN
fumecheng-12829	403	7	φk	φk	ADP
fumecheng-12829	403	8	l	l	NOUN
fumecheng-12829	403	9	f	f	PROPN
fumecheng-12829	403	10	f	f	PROPN
fumecheng-12829	403	11	φ	φ	PROPN
fumecheng-12829	403	12	α	α	PROPN
fumecheng-12829	403	13	αl	αl	ADP
fumecheng-12829	403	14	h	h	PROPN
fumecheng-12829	403	15	h	h	PROPN
fumecheng-12829	403	16	(	(	PUNCT
fumecheng-12829	403	17	52	52	NUM
fumecheng-12829	403	18	)	)	PUNCT
fumecheng-12829	403	19	where	where	SCONJ
fumecheng-12829	403	20	k	k	NOUN
fumecheng-12829	403	21	,	,	PUNCT
fumecheng-12829	403	22	l	l	NOUN
fumecheng-12829	403	23	and	and	CCONJ
fumecheng-12829	403	24	h	h	NOUN
fumecheng-12829	403	25	are	be	AUX
fumecheng-12829	403	26	given	give	VERB
fumecheng-12829	403	27	by	by	ADP
fumecheng-12829	403	28	:	:	PUNCT
fumecheng-12829	403	29	,	,	PUNCT
fumecheng-12829	403	30	,	,	PUNCT
fumecheng-12829	403	31	t	t	PROPN
fumecheng-12829	403	32	d	d	X
fumecheng-12829	403	33	g	g	PROPN
fumecheng-12829	403	34	d	d	PROPN
fumecheng-12829	403	35	t	t	PROPN
fumecheng-12829	403	36	a	a	DET
fumecheng-12829	403	37	t	t	NOUN
fumecheng-12829	403	38	t	t	PROPN
fumecheng-12829	403	39	t	t	PROPN
fumecheng-12829	403	40	t	t	PROPN
fumecheng-12829	403	41	a	a	PRON
fumecheng-12829	403	42	a	a	PRON
fumecheng-12829	403	43	da	da	X
fumecheng-12829	403	44	da	da	X
fumecheng-12829	403	45	da	da	X
fumecheng-12829	403	46	=	=	PUNCT
fumecheng-12829	404	1	+	+	PUNCT
fumecheng-12829	404	2	=	=	SYM
fumecheng-12829	404	3	=	=	SYM
fumecheng-12829	405	1	=	=	NOUN
fumecheng-12829	405	2			NOUN
fumecheng-12829	405	3			PUNCT
fumecheng-12829	405	4			PROPN
fumecheng-12829	405	5	k	k	PROPN
fumecheng-12829	406	1	k	k	PROPN
fumecheng-12829	406	2	k	k	PROPN
fumecheng-12829	407	1	k	k	PROPN
fumecheng-12829	407	2	b	b	PROPN
fumecheng-12829	408	1	h	h	NOUN
fumecheng-12829	408	2	b	b	PROPN
fumecheng-12829	408	3	l	l	NOUN
fumecheng-12829	408	4	b	b	NOUN
fumecheng-12829	409	1	h	h	NOUN
fumecheng-12829	409	2	.b	.b	PROPN
fumecheng-12829	410	1	h	h	PROPN
fumecheng-12829	411	1	b	b	PROPN
fumecheng-12829	411	2	h	h	PROPN
fumecheng-12829	411	3	b	b	PROPN
fumecheng-12829	411	4	(	(	PUNCT
fumecheng-12829	411	5	53	53	NUM
fumecheng-12829	411	6	)	)	PUNCT
fumecheng-12829	411	7	𝑲𝐷	𝑲𝐷	PROPN
fumecheng-12829	411	8	and	and	CCONJ
fumecheng-12829	411	9	𝑲𝐺	𝑲𝐺	PROPN
fumecheng-12829	411	10	are	be	AUX
fumecheng-12829	411	11	the	the	DET
fumecheng-12829	411	12	material	material	ADJ
fumecheng-12829	411	13	and	and	CCONJ
fumecheng-12829	411	14	geometric	geometric	ADJ
fumecheng-12829	411	15	tangent	tangent	NOUN
fumecheng-12829	411	16	matrices	matrix	NOUN
fumecheng-12829	411	17	.	.	PUNCT
fumecheng-12829	412	1	the	the	DET
fumecheng-12829	412	2	components	component	NOUN
fumecheng-12829	412	3	of	of	ADP
fumecheng-12829	412	4	the	the	DET
fumecheng-12829	412	5	geometric	geometric	ADJ
fumecheng-12829	412	6	tangent	tangent	NOUN
fumecheng-12829	412	7	matrix	matrix	NOUN
fumecheng-12829	412	8	𝑲𝐺	𝑲𝐺	PROPN
fumecheng-12829	412	9	are	be	AUX
fumecheng-12829	412	10	given	give	VERB
fumecheng-12829	412	11	in	in	ADP
fumecheng-12829	412	12	the	the	DET
fumecheng-12829	412	13	appendix	appendix	ADJ
fumecheng-12829	412	14	c.	c.	NOUN
fumecheng-12829	412	15	in	in	ADP
fumecheng-12829	412	16	eq	eq	ADP
fumecheng-12829	412	17	.	.	PUNCT
fumecheng-12829	413	1	(	(	PUNCT
fumecheng-12829	413	2	50	50	NUM
fumecheng-12829	413	3	)	)	PUNCT
fumecheng-12829	413	4	,	,	PUNCT
fumecheng-12829	413	5	𝒇𝑖𝑛𝑡	𝒇𝑖𝑛𝑡	ADJ
fumecheng-12829	413	6	and	and	CCONJ
fumecheng-12829	413	7	h	h	NOUN
fumecheng-12829	413	8	,	,	PUNCT
fumecheng-12829	413	9	are	be	AUX
fumecheng-12829	413	10	given	give	VERB
fumecheng-12829	413	11	by	by	ADP
fumecheng-12829	413	12	the	the	DET
fumecheng-12829	413	13	following	follow	VERB
fumecheng-12829	413	14	expressions	expression	NOUN
fumecheng-12829	413	15	,	,	PUNCT
fumecheng-12829	413	16	int	int	PROPN
fumecheng-12829	413	17	t	t	PROPN
fumecheng-12829	413	18	t	t	PROPN
fumecheng-12829	413	19	a	a	DET
fumecheng-12829	413	20	a	a	DET
fumecheng-12829	413	21	da	da	NOUN
fumecheng-12829	413	22	da=	da=	NOUN
fumecheng-12829	413	23	=	=	X
fumecheng-12829	413	24			NOUN
fumecheng-12829	413	25			PUNCT
fumecheng-12829	413	26	f	f	PUNCT
fumecheng-12829	414	1	b	b	X
fumecheng-12829	414	2	r	r	NOUN
fumecheng-12829	414	3	h	h	NOUN
fumecheng-12829	414	4	b	b	NOUN
fumecheng-12829	415	1	r	r	NOUN
fumecheng-12829	415	2	(	(	PUNCT
fumecheng-12829	415	3	54	54	NUM
fumecheng-12829	415	4	)	)	PUNCT
fumecheng-12829	415	5	removing	remove	VERB
fumecheng-12829	415	6	the	the	DET
fumecheng-12829	415	7	internal	internal	ADJ
fumecheng-12829	415	8	variable	variable	ADJ
fumecheng-12829	415	9	vector	vector	NOUN
fumecheng-12829	415	10	α	α	NOUN
fumecheng-12829	415	11	from	from	ADP
fumecheng-12829	415	12	eq	eq	ADP
fumecheng-12829	415	13	.	.	PUNCT
fumecheng-12829	416	1	(	(	PUNCT
fumecheng-12829	416	2	53	53	NUM
fumecheng-12829	416	3	)	)	PUNCT
fumecheng-12829	416	4	at	at	ADP
fumecheng-12829	416	5	the	the	DET
fumecheng-12829	416	6	element	element	NOUN
fumecheng-12829	416	7	level	level	NOUN
fumecheng-12829	416	8	yields	yield	VERB
fumecheng-12829	416	9	the	the	DET
fumecheng-12829	416	10	element	element	NOUN
fumecheng-12829	416	11	tangent	tangent	NOUN
fumecheng-12829	416	12	matrix	matrix	NOUN
fumecheng-12829	416	13	𝑲𝑇	𝑲𝑇	NOUN
fumecheng-12829	416	14	,	,	PUNCT
fumecheng-12829	416	15	expressed	express	VERB
fumecheng-12829	416	16	as	as	ADP
fumecheng-12829	416	17	:	:	PUNCT
fumecheng-12829	416	18	1	1	NUM
fumecheng-12829	416	19	t	t	NOUN
fumecheng-12829	416	20	t	t	NOUN
fumecheng-12829	416	21	d	d	X
fumecheng-12829	416	22	g	g	PROPN
fumecheng-12829	416	23	−=	−=	X
fumecheng-12829	416	24	+	+	PUNCT
fumecheng-12829	416	25	−k	−k	PROPN
fumecheng-12829	416	26	k	k	PROPN
fumecheng-12829	416	27	k	k	PROPN
fumecheng-12829	416	28	l	l	NOUN
fumecheng-12829	416	29	h	h	NOUN
fumecheng-12829	417	1	l	l	NOUN
fumecheng-12829	417	2	(	(	PUNCT
fumecheng-12829	417	3	55	55	NUM
fumecheng-12829	417	4	)	)	PUNCT
fumecheng-12829	417	5	and	and	CCONJ
fumecheng-12829	417	6	the	the	DET
fumecheng-12829	417	7	residual	residual	ADJ
fumecheng-12829	417	8	vector	vector	NOUN
fumecheng-12829	417	9	r	r	NOUN
fumecheng-12829	417	10	defined	define	VERB
fumecheng-12829	417	11	as	as	ADP
fumecheng-12829	417	12	:	:	PUNCT
fumecheng-12829	417	13	1	1	NUM
fumecheng-12829	417	14	t	t	NOUN
fumecheng-12829	417	15	ext	ext	NOUN
fumecheng-12829	417	16	int−=	int−=	X
fumecheng-12829	418	1	−r	−r	PROPN
fumecheng-12829	418	2	l	l	PROPN
fumecheng-12829	418	3	h	h	PROPN
fumecheng-12829	418	4	h+	h+	PROPN
fumecheng-12829	418	5	f	f	PROPN
fumecheng-12829	418	6	f	f	PROPN
fumecheng-12829	418	7	(	(	PUNCT
fumecheng-12829	418	8	56	56	NUM
fumecheng-12829	418	9	)	)	PUNCT
fumecheng-12829	418	10	at	at	ADP
fumecheng-12829	418	11	the	the	DET
fumecheng-12829	418	12	element	element	ADJ
fumecheng-12829	418	13	level	level	NOUN
fumecheng-12829	418	14	,	,	PUNCT
fumecheng-12829	418	15	transitioning	transition	VERB
fumecheng-12829	418	16	from	from	ADP
fumecheng-12829	418	17	the	the	DET
fumecheng-12829	418	18	generalized	generalized	ADJ
fumecheng-12829	418	19	displacement	displacement	NOUN
fumecheng-12829	418	20	vector	vector	NOUN
fumecheng-12829	418	21	𝜱𝑛	𝜱𝑛	PROPN
fumecheng-12829	418	22	=	=	SYM
fumecheng-12829	418	23	(	(	PUNCT
fumecheng-12829	418	24	𝒖	𝒖	X
fumecheng-12829	418	25	,	,	PUNCT
fumecheng-12829	418	26	𝒕	𝒕	NOUN
fumecheng-12829	418	27	,	,	PUNCT
fumecheng-12829	418	28	𝜆)𝑛	𝜆)𝑛	PUNCT
fumecheng-12829	418	29	to	to	ADP
fumecheng-12829	418	30	the	the	DET
fumecheng-12829	418	31	nodal	nodal	ADJ
fumecheng-12829	418	32	variable	variable	ADJ
fumecheng-12829	418	33	vector	vector	NOUN
fumecheng-12829	418	34	𝜞𝑛	𝜞𝑛	PROPN
fumecheng-12829	418	35	=	=	SYM
fumecheng-12829	418	36	(	(	PUNCT
fumecheng-12829	418	37	𝒖	𝒖	X
fumecheng-12829	418	38	,	,	PUNCT
fumecheng-12829	418	39	𝜣	𝜣	NOUN
fumecheng-12829	418	40	,	,	PUNCT
fumecheng-12829	418	41	𝜆)𝑛	𝜆)𝑛	NOUN
fumecheng-12829	418	42	,	,	PUNCT
fumecheng-12829	418	43	where	where	SCONJ
fumecheng-12829	418	44	𝜣	𝜣	NOUN
fumecheng-12829	418	45	represents	represent	VERB
fumecheng-12829	418	46	the	the	DET
fumecheng-12829	418	47	two	two	NUM
fumecheng-12829	418	48	rotations	rotation	NOUN
fumecheng-12829	418	49	vector	vector	NOUN
fumecheng-12829	418	50	in	in	ADP
fumecheng-12829	418	51	material	material	NOUN
fumecheng-12829	418	52	description	description	NOUN
fumecheng-12829	418	53	,	,	PUNCT
fumecheng-12829	418	54	is	be	AUX
fumecheng-12829	418	55	significant	significant	ADJ
fumecheng-12829	418	56	.	.	PUNCT
fumecheng-12829	419	1	at	at	ADP
fumecheng-12829	419	2	node	node	PROPN
fumecheng-12829	419	3	i	i	PROPN
fumecheng-12829	419	4	,	,	PUNCT
fumecheng-12829	419	5	the	the	DET
fumecheng-12829	419	6	relationship	relationship	NOUN
fumecheng-12829	419	7	between	between	ADP
fumecheng-12829	419	8	the	the	DET
fumecheng-12829	419	9	generalized	generalized	ADJ
fumecheng-12829	419	10	displacement	displacement	NOUN
fumecheng-12829	419	11	vector	vector	NOUN
fumecheng-12829	419	12	𝜱𝑛	𝜱𝑛	PROPN
fumecheng-12829	419	13	=	=	SYM
fumecheng-12829	419	14	(	(	PUNCT
fumecheng-12829	419	15	𝒖	𝒖	X
fumecheng-12829	419	16	,	,	PUNCT
fumecheng-12829	419	17	𝒕	𝒕	NOUN
fumecheng-12829	419	18	,	,	PUNCT
fumecheng-12829	419	19	𝜆)𝑛	𝜆)𝑛	PUNCT
fumecheng-12829	419	20	and	and	CCONJ
fumecheng-12829	419	21	the	the	DET
fumecheng-12829	419	22	nodal	nodal	ADJ
fumecheng-12829	419	23	variable	variable	ADJ
fumecheng-12829	419	24	vector	vector	NOUN
fumecheng-12829	419	25	𝜞𝑛	𝜞𝑛	PROPN
fumecheng-12829	419	26	=	=	SYM
fumecheng-12829	419	27	(	(	PUNCT
fumecheng-12829	419	28	𝒖	𝒖	X
fumecheng-12829	419	29	,	,	PUNCT
fumecheng-12829	419	30	𝜣	𝜣	NOUN
fumecheng-12829	419	31	,	,	PUNCT
fumecheng-12829	419	32	𝜆)𝑛	𝜆)𝑛	PUNCT
fumecheng-12829	419	33	is	be	AUX
fumecheng-12829	419	34	elucidated	elucidate	VERB
fumecheng-12829	419	35	by	by	ADP
fumecheng-12829	419	36	:	:	PUNCT
fumecheng-12829	419	37	7	7	NUM
fumecheng-12829	419	38	6	6	NUM
fumecheng-12829	419	39	1	1	NUM
fumecheng-12829	419	40	4i	4i	NOUN
fumecheng-12829	420	1	i	i	PRON
fumecheng-12829	420	2	i	i	PRON
fumecheng-12829	421	1	i	i	VERB
fumecheng-12829	421	2	i	i	VERB
fumecheng-12829	421	3	0	0	NUM
fumecheng-12829	421	4	,	,	PUNCT
fumecheng-12829	421	5	i	i	PRON
fumecheng-12829	421	6	,	,	PUNCT
fumecheng-12829	421	7	..	..	PUNCT
fumecheng-12829	421	8	,	,	PUNCT
fumecheng-12829	421	9	,	,	PUNCT
fumecheng-12829	421	10	0	0	NUM
fumecheng-12829	421	11	0	0	NUM
fumecheng-12829	421	12	     	     	SPACE
fumecheng-12829	421	13	0	0	NUM
fumecheng-12829	421	14	1	1	NUM
fumecheng-12829	422	1			NUM
fumecheng-12829	422	2			NUM
fumecheng-12829	422	3			NOUN
fumecheng-12829	422	4			PROPN
fumecheng-12829	422	5			ADJ
fumecheng-12829	422	6			NOUN
fumecheng-12829	422	7			PROPN
fumecheng-12829	422	8			NOUN
fumecheng-12829	422	9	=	=	NOUN
fumecheng-12829	422	10	=	=	SYM
fumecheng-12829	422	11	=	=	SYM
fumecheng-12829	422	12			NOUN
fumecheng-12829	422	13			NOUN
fumecheng-12829	422	14			NOUN
fumecheng-12829	422	15			NOUN
fumecheng-12829	422	16			VERB
fumecheng-12829	422	17			PROPN
fumecheng-12829	422	18	_	_	PUNCT
fumecheng-12829	423	1	i	i	PRON
fumecheng-12829	423	2	0	0	PUNCT
fumecheng-12829	424	1	φ	φ	NOUN
fumecheng-12829	424	2	0	0	NUM
fumecheng-12829	425	1	λ	λ	PROPN
fumecheng-12829	425	2			VERB
fumecheng-12829	425	3			PROPN
fumecheng-12829	425	4	(	(	PUNCT
fumecheng-12829	425	5	57	57	NUM
fumecheng-12829	425	6	)	)	PUNCT
fumecheng-12829	425	7	for	for	ADP
fumecheng-12829	425	8	all	all	DET
fumecheng-12829	425	9	element	element	NOUN
fumecheng-12829	425	10	nodes	node	NOUN
fumecheng-12829	425	11	,	,	PUNCT
fumecheng-12829	425	12	the	the	DET
fumecheng-12829	425	13	transformation	transformation	NOUN
fumecheng-12829	425	14	matrix	matrix	NOUN
fumecheng-12829	425	15	π	π	NOUN
fumecheng-12829	425	16	is	be	AUX
fumecheng-12829	425	17	expressed	express	VERB
fumecheng-12829	425	18	as	as	ADP
fumecheng-12829	425	19	:	:	PUNCT
fumecheng-12829	425	20	(	(	PUNCT
fumecheng-12829	425	21	)	)	SYM
fumecheng-12829	425	22	1	1	NUM
fumecheng-12829	425	23	2	2	NUM
fumecheng-12829	425	24	3	3	NUM
fumecheng-12829	425	25	4diag	4diag	NUM
fumecheng-12829	425	26	,	,	PUNCT
fumecheng-12829	425	27	,	,	PUNCT
fumecheng-12829	425	28	,	,	PUNCT
fumecheng-12829	425	29			PROPN
fumecheng-12829	425	30			PROPN
fumecheng-12829	425	31			PROPN
fumecheng-12829	425	32			ADV
fumecheng-12829	425	33	=	=	PROPN
fumecheng-12829	425	34	(	(	PUNCT
fumecheng-12829	425	35	58	58	NUM
fumecheng-12829	425	36	)	)	PUNCT
fumecheng-12829	425	37	for	for	ADP
fumecheng-12829	425	38	further	further	ADJ
fumecheng-12829	425	39	insights	insight	NOUN
fumecheng-12829	425	40	into	into	ADP
fumecheng-12829	425	41	nodal	nodal	ADJ
fumecheng-12829	425	42	transformation	transformation	NOUN
fumecheng-12829	425	43	,	,	PUNCT
fumecheng-12829	425	44	refer	refer	VERB
fumecheng-12829	425	45	to	to	PART
fumecheng-12829	425	46	mallek	mallek	VERB
fumecheng-12829	425	47	et	et	NOUN
fumecheng-12829	425	48	al	al	PROPN
fumecheng-12829	425	49	.	.	PUNCT
fumecheng-12829	426	1	[	[	X
fumecheng-12829	426	2	34	34	NUM
fumecheng-12829	426	3	]	]	PUNCT
fumecheng-12829	426	4	.	.	PUNCT
fumecheng-12829	427	1	3	3	X
fumecheng-12829	427	2	.	.	X
fumecheng-12829	427	3	numerical	numerical	ADJ
fumecheng-12829	427	4	tests	test	NOUN
fumecheng-12829	427	5	and	and	CCONJ
fumecheng-12829	427	6	discussion	discussion	NOUN
fumecheng-12829	427	7	this	this	DET
fumecheng-12829	427	8	work	work	NOUN
fumecheng-12829	427	9	investigates	investigate	VERB
fumecheng-12829	427	10	geometrically	geometrically	ADV
fumecheng-12829	427	11	nonlinear	nonlinear	ADJ
fumecheng-12829	427	12	performances	performance	NOUN
fumecheng-12829	427	13	of	of	ADP
fumecheng-12829	427	14	fgp	fgp	ADJ
fumecheng-12829	427	15	shells	shell	NOUN
fumecheng-12829	427	16	via	via	ADP
fumecheng-12829	427	17	the	the	DET
fumecheng-12829	427	18	formulated	formulate	VERB
fumecheng-12829	427	19	extensible	extensible	ADJ
fumecheng-12829	427	20	director	director	NOUN
fumecheng-12829	427	21	shell	shell	NOUN
fumecheng-12829	427	22	approach	approach	NOUN
fumecheng-12829	427	23	.	.	PUNCT
fumecheng-12829	428	1	the	the	DET
fumecheng-12829	428	2	3d	3d	PROPN
fumecheng-12829	428	3	shell	shell	NOUN
fumecheng-12829	428	4	structure	structure	NOUN
fumecheng-12829	428	5	is	be	AUX
fumecheng-12829	428	6	examined	examine	VERB
fumecheng-12829	428	7	for	for	ADP
fumecheng-12829	428	8	its	its	PRON
fumecheng-12829	428	9	nonlinear	nonlinear	ADJ
fumecheng-12829	428	10	responses	response	NOUN
fumecheng-12829	428	11	taking	take	VERB
fumecheng-12829	428	12	into	into	ADP
fumecheng-12829	428	13	account	account	NOUN
fumecheng-12829	428	14	the	the	DET
fumecheng-12829	428	15	thickness	thickness	NOUN
fumecheng-12829	428	16	-	-	PUNCT
fumecheng-12829	428	17	stretch	stretch	NOUN
fumecheng-12829	428	18	.	.	PUNCT
fumecheng-12829	429	1	existing	exist	VERB
fumecheng-12829	429	2	literature	literature	NOUN
fumecheng-12829	429	3	lacks	lack	VERB
fumecheng-12829	429	4	such	such	ADJ
fumecheng-12829	429	5	results	result	NOUN
fumecheng-12829	429	6	,	,	PUNCT
fumecheng-12829	429	7	necessitating	necessitate	VERB
fumecheng-12829	429	8	model	model	NOUN
fumecheng-12829	429	9	verification	verification	NOUN
fumecheng-12829	429	10	.	.	PUNCT
fumecheng-12829	430	1	through	through	ADP
fumecheng-12829	430	2	numerical	numerical	ADJ
fumecheng-12829	430	3	examples	example	NOUN
fumecheng-12829	430	4	,	,	PUNCT
fumecheng-12829	430	5	the	the	DET
fumecheng-12829	430	6	approach	approach	NOUN
fumecheng-12829	430	7	844	844	NUM
fumecheng-12829	430	8	h.	h.	PROPN
fumecheng-12829	430	9	mallek	mallek	PROPN
fumecheng-12829	430	10	,	,	PUNCT
fumecheng-12829	430	11	h.	h.	PROPN
fumecheng-12829	430	12	mellouli	mellouli	PROPN
fumecheng-12829	430	13	,	,	PUNCT
fumecheng-12829	430	14	l.	l.	PROPN
fumecheng-12829	430	15	ben	ben	PROPN
fumecheng-12829	430	16	said	say	VERB
fumecheng-12829	430	17	,	,	PUNCT
fumecheng-12829	430	18	m.	m.	PROPN
fumecheng-12829	430	19	wali	wali	PROPN
fumecheng-12829	430	20	,	,	PUNCT
fumecheng-12829	430	21	f.	f.	PROPN
fumecheng-12829	430	22	dammak	dammak	PROPN
fumecheng-12829	430	23	,	,	PUNCT
fumecheng-12829	430	24	m.	m.	PROPN
fumecheng-12829	430	25	alhadri	alhadri	PROPN
fumecheng-12829	430	26	proves	prove	VERB
fumecheng-12829	430	27	versatile	versatile	ADJ
fumecheng-12829	430	28	for	for	ADP
fumecheng-12829	430	29	analyzing	analyze	VERB
fumecheng-12829	430	30	nonlinear	nonlinear	ADJ
fumecheng-12829	430	31	structural	structural	ADJ
fumecheng-12829	430	32	responses	response	NOUN
fumecheng-12829	430	33	of	of	ADP
fumecheng-12829	430	34	3d	3d	PROPN
fumecheng-12829	430	35	shell	shell	NOUN
fumecheng-12829	430	36	structures	structure	NOUN
fumecheng-12829	430	37	,	,	PUNCT
fumecheng-12829	430	38	including	include	VERB
fumecheng-12829	430	39	porous	porous	ADJ
fumecheng-12829	430	40	functionally	functionally	ADV
fumecheng-12829	430	41	graded	grade	VERB
fumecheng-12829	430	42	materials	material	NOUN
fumecheng-12829	430	43	.	.	PUNCT
fumecheng-12829	431	1	verification	verification	NOUN
fumecheng-12829	431	2	tests	test	NOUN
fumecheng-12829	431	3	and	and	CCONJ
fumecheng-12829	431	4	simulations	simulation	NOUN
fumecheng-12829	431	5	validate	validate	VERB
fumecheng-12829	431	6	the	the	DET
fumecheng-12829	431	7	methodology	methodology	NOUN
fumecheng-12829	431	8	's	's	PART
fumecheng-12829	431	9	reliability	reliability	NOUN
fumecheng-12829	431	10	and	and	CCONJ
fumecheng-12829	431	11	accuracy	accuracy	NOUN
fumecheng-12829	431	12	.	.	PUNCT
fumecheng-12829	432	1	new	new	ADJ
fumecheng-12829	432	2	numerical	numerical	ADJ
fumecheng-12829	432	3	results	result	NOUN
fumecheng-12829	432	4	are	be	AUX
fumecheng-12829	432	5	presented	present	VERB
fumecheng-12829	432	6	showing	show	VERB
fumecheng-12829	432	7	the	the	DET
fumecheng-12829	432	8	influence	influence	NOUN
fumecheng-12829	432	9	of	of	ADP
fumecheng-12829	432	10	porosity	porosity	NOUN
fumecheng-12829	432	11	dispersion	dispersion	NOUN
fumecheng-12829	432	12	on	on	ADP
fumecheng-12829	432	13	the	the	DET
fumecheng-12829	432	14	large	large	ADJ
fumecheng-12829	432	15	deformation	deformation	NOUN
fumecheng-12829	432	16	responses	response	NOUN
fumecheng-12829	432	17	of	of	ADP
fumecheng-12829	432	18	the	the	DET
fumecheng-12829	432	19	semicylindrical	semicylindrical	ADJ
fumecheng-12829	432	20	shell	shell	NOUN
fumecheng-12829	432	21	structure	structure	NOUN
fumecheng-12829	432	22	made	make	VERB
fumecheng-12829	432	23	by	by	ADP
fumecheng-12829	432	24	fgp	fgp	NOUN
fumecheng-12829	432	25	.	.	PUNCT
fumecheng-12829	433	1	this	this	DET
fumecheng-12829	433	2	research	research	NOUN
fumecheng-12829	433	3	provides	provide	VERB
fumecheng-12829	433	4	crucial	crucial	ADJ
fumecheng-12829	433	5	insights	insight	NOUN
fumecheng-12829	433	6	into	into	ADP
fumecheng-12829	433	7	the	the	DET
fumecheng-12829	433	8	geometrically	geometrically	ADV
fumecheng-12829	433	9	nonlinear	nonlinear	ADJ
fumecheng-12829	433	10	behavior	behavior	NOUN
fumecheng-12829	433	11	of	of	ADP
fumecheng-12829	433	12	3d	3d	PROPN
fumecheng-12829	433	13	shell	shell	NOUN
fumecheng-12829	433	14	structures	structure	NOUN
fumecheng-12829	433	15	with	with	ADP
fumecheng-12829	433	16	the	the	DET
fumecheng-12829	433	17	phenomenon	phenomenon	NOUN
fumecheng-12829	433	18	of	of	ADP
fumecheng-12829	433	19	the	the	DET
fumecheng-12829	433	20	thickness	thickness	NOUN
fumecheng-12829	433	21	-	-	PUNCT
fumecheng-12829	433	22	stretch	stretch	NOUN
fumecheng-12829	433	23	included	include	VERB
fumecheng-12829	433	24	.	.	PUNCT
fumecheng-12829	434	1	3.1	3.1	NUM
fumecheng-12829	434	2	.	.	PUNCT
fumecheng-12829	435	1	linear	linear	ADJ
fumecheng-12829	435	2	behavior	behavior	NOUN
fumecheng-12829	435	3	of	of	ADP
fumecheng-12829	435	4	simply	simply	ADV
fumecheng-12829	435	5	supported	support	VERB
fumecheng-12829	435	6	rectangular	rectangular	ADJ
fumecheng-12829	435	7	plate	plate	NOUN
fumecheng-12829	435	8	the	the	DET
fumecheng-12829	435	9	first	first	ADJ
fumecheng-12829	435	10	example	example	NOUN
fumecheng-12829	435	11	is	be	AUX
fumecheng-12829	435	12	considered	consider	VERB
fumecheng-12829	435	13	as	as	ADP
fumecheng-12829	435	14	dimensionless	dimensionless	NOUN
fumecheng-12829	435	15	.	.	PUNCT
fumecheng-12829	436	1	it	it	PRON
fumecheng-12829	436	2	deals	deal	VERB
fumecheng-12829	436	3	with	with	ADP
fumecheng-12829	436	4	static	static	ADJ
fumecheng-12829	436	5	bending	bending	NOUN
fumecheng-12829	436	6	of	of	ADP
fumecheng-12829	436	7	a	a	DET
fumecheng-12829	436	8	simply	simply	ADV
fumecheng-12829	436	9	supported	support	VERB
fumecheng-12829	436	10	rectangular	rectangular	ADJ
fumecheng-12829	436	11	plate	plate	NOUN
fumecheng-12829	436	12	with	with	ADP
fumecheng-12829	436	13	the	the	DET
fumecheng-12829	436	14	edges	edge	NOUN
fumecheng-12829	436	15	a	a	DET
fumecheng-12829	436	16	=	=	SYM
fumecheng-12829	436	17	7.5	7.5	NUM
fumecheng-12829	436	18	and	and	CCONJ
fumecheng-12829	436	19	b	b	NOUN
fumecheng-12829	436	20	=	=	SYM
fumecheng-12829	436	21	5	5	NUM
fumecheng-12829	436	22	and	and	CCONJ
fumecheng-12829	436	23	with	with	ADP
fumecheng-12829	436	24	the	the	DET
fumecheng-12829	436	25	thickness	thickness	NOUN
fumecheng-12829	436	26	of	of	ADP
fumecheng-12829	436	27	h	h	NOUN
fumecheng-12829	436	28	=	=	NOUN
fumecheng-12829	436	29	0.2	0.2	NUM
fumecheng-12829	436	30	.	.	PUNCT
fumecheng-12829	437	1	the	the	DET
fumecheng-12829	437	2	material	material	NOUN
fumecheng-12829	437	3	properties	property	NOUN
fumecheng-12829	437	4	are	be	AUX
fumecheng-12829	437	5	taken	take	VERB
fumecheng-12829	437	6	as	as	SCONJ
fumecheng-12829	437	7	follows	follow	VERB
fumecheng-12829	437	8	:	:	PUNCT
fumecheng-12829	437	9	the	the	DET
fumecheng-12829	437	10	elastic	elastic	ADJ
fumecheng-12829	437	11	modulus	modulus	NOUN
fumecheng-12829	437	12	e	e	NOUN
fumecheng-12829	437	13	=	=	SYM
fumecheng-12829	437	14	1	1	NUM
fumecheng-12829	437	15	and	and	CCONJ
fumecheng-12829	437	16	the	the	DET
fumecheng-12829	437	17	poisson	poisson	NOUN
fumecheng-12829	437	18	’s	’s	PART
fumecheng-12829	437	19	ratio	ratio	NOUN
fumecheng-12829	437	20	υ	υ	PROPN
fumecheng-12829	438	1	=	=	NOUN
fumecheng-12829	438	2	0.3	0.3	NUM
fumecheng-12829	438	3	.	.	PUNCT
fumecheng-12829	439	1	the	the	DET
fumecheng-12829	439	2	plate	plate	NOUN
fumecheng-12829	439	3	is	be	AUX
fumecheng-12829	439	4	subjected	subject	VERB
fumecheng-12829	439	5	to	to	ADP
fumecheng-12829	439	6	a	a	DET
fumecheng-12829	439	7	uniformly	uniformly	ADV
fumecheng-12829	439	8	distributed	distribute	VERB
fumecheng-12829	439	9	transverse	transverse	NOUN
fumecheng-12829	439	10	load	load	NOUN
fumecheng-12829	439	11	q	q	NOUN
fumecheng-12829	440	1	=	=	NOUN
fumecheng-12829	440	2	1	1	NUM
fumecheng-12829	440	3	,	,	PUNCT
fumecheng-12829	440	4	as	as	SCONJ
fumecheng-12829	440	5	shown	show	VERB
fumecheng-12829	440	6	in	in	ADP
fumecheng-12829	440	7	fig	fig	NOUN
fumecheng-12829	440	8	.	.	PUNCT
fumecheng-12829	441	1	6	6	NUM
fumecheng-12829	441	2	.	.	PUNCT
fumecheng-12829	441	3	the	the	DET
fumecheng-12829	441	4	symmetry	symmetry	NOUN
fumecheng-12829	441	5	allows	allow	VERB
fumecheng-12829	441	6	to	to	PART
fumecheng-12829	441	7	model	model	VERB
fumecheng-12829	441	8	only	only	ADV
fumecheng-12829	441	9	one	one	NUM
fumecheng-12829	441	10	quarter	quarter	NOUN
fumecheng-12829	441	11	of	of	ADP
fumecheng-12829	441	12	the	the	DET
fumecheng-12829	441	13	plate	plate	NOUN
fumecheng-12829	441	14	.	.	PUNCT
fumecheng-12829	442	1	refinement	refinement	NOUN
fumecheng-12829	442	2	of	of	ADP
fumecheng-12829	442	3	the	the	DET
fumecheng-12829	442	4	fe	fe	PROPN
fumecheng-12829	442	5	mesh	mesh	NOUN
fumecheng-12829	442	6	was	be	AUX
fumecheng-12829	442	7	done	do	VERB
fumecheng-12829	442	8	in	in	ADP
fumecheng-12829	442	9	order	order	NOUN
fumecheng-12829	442	10	to	to	PART
fumecheng-12829	442	11	study	study	VERB
fumecheng-12829	442	12	the	the	DET
fumecheng-12829	442	13	convergence	convergence	NOUN
fumecheng-12829	442	14	of	of	ADP
fumecheng-12829	442	15	the	the	DET
fumecheng-12829	442	16	proposed	propose	VERB
fumecheng-12829	442	17	model	model	NOUN
fumecheng-12829	442	18	.	.	PUNCT
fumecheng-12829	443	1	fig	fig	NOUN
fumecheng-12829	443	2	.	.	PUNCT
fumecheng-12829	444	1	6	6	NUM
fumecheng-12829	444	2	simply	simply	ADV
fumecheng-12829	444	3	supported	support	VERB
fumecheng-12829	444	4	rectangular	rectangular	ADJ
fumecheng-12829	444	5	plate	plate	NOUN
fumecheng-12829	444	6	table	table	NOUN
fumecheng-12829	444	7	1	1	NUM
fumecheng-12829	444	8	gives	give	VERB
fumecheng-12829	444	9	a	a	DET
fumecheng-12829	444	10	comparison	comparison	NOUN
fumecheng-12829	444	11	of	of	ADP
fumecheng-12829	444	12	the	the	DET
fumecheng-12829	444	13	central	central	ADJ
fumecheng-12829	444	14	transverse	transverse	NOUN
fumecheng-12829	444	15	deflection	deflection	NOUN
fumecheng-12829	444	16	w	w	ADP
fumecheng-12829	444	17	obtained	obtain	VERB
fumecheng-12829	444	18	with	with	ADP
fumecheng-12829	444	19	the	the	DET
fumecheng-12829	444	20	current	current	ADJ
fumecheng-12829	444	21	element	element	NOUN
fumecheng-12829	444	22	and	and	CCONJ
fumecheng-12829	444	23	the	the	DET
fumecheng-12829	444	24	same	same	ADJ
fumecheng-12829	444	25	results	result	NOUN
fumecheng-12829	444	26	reported	report	VERB
fumecheng-12829	444	27	in	in	ADP
fumecheng-12829	444	28	[	[	X
fumecheng-12829	444	29	35	35	NUM
fumecheng-12829	444	30	]	]	PUNCT
fumecheng-12829	444	31	.	.	PUNCT
fumecheng-12829	445	1	in	in	ADP
fumecheng-12829	445	2	[	[	X
fumecheng-12829	445	3	35	35	NUM
fumecheng-12829	445	4	]	]	X
fumecheng-12829	445	5	,	,	PUNCT
fumecheng-12829	445	6	a	a	DET
fumecheng-12829	445	7	mixed	mixed	ADJ
fumecheng-12829	445	8	enhanced	enhance	VERB
fumecheng-12829	445	9	finite	finite	ADJ
fumecheng-12829	445	10	plate	plate	NOUN
fumecheng-12829	445	11	element	element	NOUN
fumecheng-12829	445	12	was	be	AUX
fumecheng-12829	445	13	used	use	VERB
fumecheng-12829	445	14	.	.	PUNCT
fumecheng-12829	446	1	the	the	DET
fumecheng-12829	446	2	reference	reference	NOUN
fumecheng-12829	446	3	solution	solution	NOUN
fumecheng-12829	446	4	used	use	VERB
fumecheng-12829	446	5	for	for	ADP
fumecheng-12829	446	6	comparison	comparison	NOUN
fumecheng-12829	446	7	is	be	AUX
fumecheng-12829	446	8	6624.4	6624.4	NUM
fumecheng-12829	446	9	which	which	PRON
fumecheng-12829	446	10	represents	represent	VERB
fumecheng-12829	446	11	an	an	DET
fumecheng-12829	446	12	exact	exact	ADJ
fumecheng-12829	446	13	3	3	NUM
fumecheng-12829	446	14	-	-	PUNCT
fumecheng-12829	446	15	d	d	NOUN
fumecheng-12829	446	16	solution	solution	NOUN
fumecheng-12829	446	17	given	give	VERB
fumecheng-12829	446	18	by	by	ADP
fumecheng-12829	446	19	piltner	piltner	ADJ
fumecheng-12829	446	20	[	[	X
fumecheng-12829	446	21	36	36	NUM
fumecheng-12829	446	22	]	]	PUNCT
fumecheng-12829	446	23	.	.	PUNCT
fumecheng-12829	447	1	as	as	SCONJ
fumecheng-12829	447	2	can	can	AUX
fumecheng-12829	447	3	be	be	AUX
fumecheng-12829	447	4	seen	see	VERB
fumecheng-12829	447	5	,	,	PUNCT
fumecheng-12829	447	6	by	by	ADP
fumecheng-12829	447	7	increasing	increase	VERB
fumecheng-12829	447	8	the	the	DET
fumecheng-12829	447	9	number	number	NOUN
fumecheng-12829	447	10	of	of	ADP
fumecheng-12829	447	11	elements	element	NOUN
fumecheng-12829	447	12	,	,	PUNCT
fumecheng-12829	447	13	the	the	DET
fumecheng-12829	447	14	results	result	NOUN
fumecheng-12829	447	15	converges	converge	VERB
fumecheng-12829	447	16	and	and	CCONJ
fumecheng-12829	447	17	the	the	DET
fumecheng-12829	447	18	results	result	NOUN
fumecheng-12829	447	19	by	by	ADP
fumecheng-12829	447	20	the	the	DET
fumecheng-12829	447	21	32×32	32×32	NUM
fumecheng-12829	447	22	mesh	mesh	NOUN
fumecheng-12829	447	23	is	be	AUX
fumecheng-12829	447	24	taken	take	VERB
fumecheng-12829	447	25	as	as	ADP
fumecheng-12829	447	26	representative	representative	NOUN
fumecheng-12829	447	27	.	.	PUNCT
fumecheng-12829	448	1	table	table	NOUN
fumecheng-12829	448	2	1	1	NUM
fumecheng-12829	448	3	central	central	ADJ
fumecheng-12829	448	4	deflection	deflection	NOUN
fumecheng-12829	448	5	results	result	NOUN
fumecheng-12829	448	6	of	of	ADP
fumecheng-12829	448	7	simply	simply	ADV
fumecheng-12829	448	8	supported	support	VERB
fumecheng-12829	448	9	plate	plate	NOUN
fumecheng-12829	448	10	mesh	mesh	NOUN
fumecheng-12829	448	11	2x2	2x2	NUM
fumecheng-12829	448	12	4x4	4x4	NUM
fumecheng-12829	448	13	8x8	8x8	NUM
fumecheng-12829	448	14	16x16	16x16	NUM
fumecheng-12829	448	15	32	32	NUM
fumecheng-12829	448	16	x	x	SYM
fumecheng-12829	448	17	32	32	NUM
fumecheng-12829	448	18	piltner	piltner	ADJ
fumecheng-12829	448	19	and	and	CCONJ
fumecheng-12829	448	20	joseph	joseph	PROPN
fumecheng-12829	449	1	[	[	X
fumecheng-12829	449	2	35	35	NUM
fumecheng-12829	449	3	]	]	SYM
fumecheng-12829	449	4	6503.6	6503.6	NUM
fumecheng-12829	449	5	6591.2	6591.2	NUM
fumecheng-12829	449	6	6612.3	6612.3	NUM
fumecheng-12829	449	7	6617.9	6617.9	NUM
fumecheng-12829	449	8	6619.4	6619.4	NUM
fumecheng-12829	449	9	present	present	ADJ
fumecheng-12829	449	10	6488.8	6488.8	NUM
fumecheng-12829	449	11	6587.7	6587.7	NUM
fumecheng-12829	449	12	6613.6	6613.6	NUM
fumecheng-12829	449	13	6620.1	6620.1	NUM
fumecheng-12829	449	14	6621.8	6621.8	NUM
fumecheng-12829	449	15	3.2	3.2	NUM
fumecheng-12829	449	16	.	.	PUNCT
fumecheng-12829	450	1	nonlinear	nonlinear	ADJ
fumecheng-12829	450	2	behavior	behavior	NOUN
fumecheng-12829	450	3	of	of	ADP
fumecheng-12829	450	4	fgp	fgp	ADJ
fumecheng-12829	450	5	square	square	ADJ
fumecheng-12829	450	6	plate	plate	NOUN
fumecheng-12829	450	7	under	under	ADP
fumecheng-12829	450	8	uniformly	uniformly	ADV
fumecheng-12829	450	9	distributed	distribute	VERB
fumecheng-12829	450	10	load	load	NOUN
fumecheng-12829	450	11	the	the	DET
fumecheng-12829	450	12	second	second	ADJ
fumecheng-12829	450	13	example	example	NOUN
fumecheng-12829	450	14	examines	examine	VERB
fumecheng-12829	450	15	deformation	deformation	NOUN
fumecheng-12829	450	16	of	of	ADP
fumecheng-12829	450	17	a	a	DET
fumecheng-12829	450	18	simply	simply	ADV
fumecheng-12829	450	19	supported	support	VERB
fumecheng-12829	450	20	square	square	ADJ
fumecheng-12829	450	21	plate	plate	NOUN
fumecheng-12829	450	22	under	under	ADP
fumecheng-12829	450	23	a	a	DET
fumecheng-12829	450	24	uniform	uniform	ADJ
fumecheng-12829	450	25	load	load	NOUN
fumecheng-12829	450	26	.	.	PUNCT
fumecheng-12829	451	1	the	the	DET
fumecheng-12829	451	2	plate	plate	NOUN
fumecheng-12829	451	3	has	have	VERB
fumecheng-12829	451	4	a	a	DET
fumecheng-12829	451	5	width	width	NOUN
fumecheng-12829	451	6	of	of	ADP
fumecheng-12829	451	7	l=100	l=100	PROPN
fumecheng-12829	451	8	mm	mm	INTJ
fumecheng-12829	451	9	and	and	CCONJ
fumecheng-12829	451	10	a	a	DET
fumecheng-12829	451	11	thickness	thickness	NOUN
fumecheng-12829	451	12	of	of	ADP
fumecheng-12829	451	13	h=1	h=1	NOUN
fumecheng-12829	451	14	mm	mm	PROPN
fumecheng-12829	451	15	.	.	PUNCT
fumecheng-12829	452	1	the	the	DET
fumecheng-12829	452	2	material	material	NOUN
fumecheng-12829	452	3	properties	property	NOUN
fumecheng-12829	452	4	include	include	VERB
fumecheng-12829	452	5	the	the	DET
fumecheng-12829	452	6	poisson	poisson	NOUN
fumecheng-12829	452	7	’s	’s	PART
fumecheng-12829	452	8	ratio	ratio	NOUN
fumecheng-12829	452	9	υ	υ	PROPN
fumecheng-12829	453	1	=	=	NOUN
fumecheng-12829	453	2	0.3	0.3	NUM
fumecheng-12829	453	3	and	and	CCONJ
fumecheng-12829	453	4	the	the	DET
fumecheng-12829	453	5	young	young	ADJ
fumecheng-12829	453	6	modulus	modulus	NOUN
fumecheng-12829	453	7	of	of	ADP
fumecheng-12829	453	8	aluminum	aluminum	NOUN
fumecheng-12829	453	9	and	and	CCONJ
fumecheng-12829	453	10	porosity	porosity	NOUN
fumecheng-12829	453	11	effects	effect	NOUN
fumecheng-12829	453	12	on	on	ADP
fumecheng-12829	453	13	nonlinear	nonlinear	ADJ
fumecheng-12829	453	14	static	static	ADJ
fumecheng-12829	453	15	performances	performance	NOUN
fumecheng-12829	453	16	of	of	ADP
fumecheng-12829	453	17	fg	fg	PROPN
fumecheng-12829	453	18	shells	shell	NOUN
fumecheng-12829	453	19	considering	consider	VERB
fumecheng-12829	453	20	thickness	thickness	NOUN
fumecheng-12829	453	21	stretching	stretch	VERB
fumecheng-12829	453	22	845	845	NUM
fumecheng-12829	453	23	zr	zr	NOUN
fumecheng-12829	453	24	/	/	SYM
fumecheng-12829	453	25	o2	o2	PROPN
fumecheng-12829	453	26	:	:	PUNCT
fumecheng-12829	453	27	𝐸1=	𝐸1=	NOUN
fumecheng-12829	453	28	70	70	NUM
fumecheng-12829	453	29	gpa	gpa	NOUN
fumecheng-12829	453	30	and	and	CCONJ
fumecheng-12829	453	31	𝐸2=	𝐸2=	VERB
fumecheng-12829	453	32	151	151	NUM
fumecheng-12829	453	33	gpa	gpa	PROPN
fumecheng-12829	453	34	,	,	PUNCT
fumecheng-12829	453	35	respectively	respectively	ADV
fumecheng-12829	453	36	.	.	PUNCT
fumecheng-12829	454	1	to	to	PART
fumecheng-12829	454	2	simplify	simplify	VERB
fumecheng-12829	454	3	analysis	analysis	NOUN
fumecheng-12829	454	4	,	,	PUNCT
fumecheng-12829	454	5	the	the	DET
fumecheng-12829	454	6	symmetry	symmetry	NOUN
fumecheng-12829	454	7	is	be	AUX
fumecheng-12829	454	8	used	use	VERB
fumecheng-12829	454	9	and	and	CCONJ
fumecheng-12829	454	10	one	one	NUM
fumecheng-12829	454	11	quarter	quarter	NOUN
fumecheng-12829	454	12	of	of	ADP
fumecheng-12829	454	13	the	the	DET
fumecheng-12829	454	14	plate	plate	NOUN
fumecheng-12829	454	15	is	be	AUX
fumecheng-12829	454	16	discretized	discretize	VERB
fumecheng-12829	454	17	using	use	VERB
fumecheng-12829	454	18	16×16	16×16	NUM
fumecheng-12829	454	19	enhanced	enhance	VERB
fumecheng-12829	454	20	four	four	NUM
fumecheng-12829	454	21	-	-	PUNCT
fumecheng-12829	454	22	node	node	ADJ
fumecheng-12829	454	23	elements	element	NOUN
fumecheng-12829	454	24	.	.	PUNCT
fumecheng-12829	455	1	the	the	DET
fumecheng-12829	455	2	plate	plate	NOUN
fumecheng-12829	455	3	surface	surface	NOUN
fumecheng-12829	455	4	is	be	AUX
fumecheng-12829	455	5	subjected	subject	VERB
fumecheng-12829	455	6	to	to	ADP
fumecheng-12829	455	7	a	a	DET
fumecheng-12829	455	8	uniform	uniform	ADJ
fumecheng-12829	455	9	load	load	NOUN
fumecheng-12829	455	10	q.	q.	PROPN
fumecheng-12829	455	11	the	the	DET
fumecheng-12829	455	12	parameters	parameter	NOUN
fumecheng-12829	455	13	considered	consider	VERB
fumecheng-12829	455	14	in	in	ADP
fumecheng-12829	455	15	this	this	DET
fumecheng-12829	455	16	test	test	NOUN
fumecheng-12829	455	17	are	be	AUX
fumecheng-12829	455	18	the	the	DET
fumecheng-12829	455	19	normalized	normalize	VERB
fumecheng-12829	455	20	load	load	NOUN
fumecheng-12829	455	21	p=	p=	PROPN
fumecheng-12829	455	22	𝑞𝐿4	𝑞𝐿4	PROPN
fumecheng-12829	455	23	𝐸1ℎ4	𝐸1ℎ4	PROPN
fumecheng-12829	455	24	and	and	CCONJ
fumecheng-12829	455	25	the	the	DET
fumecheng-12829	455	26	normalized	normalize	VERB
fumecheng-12829	455	27	central	central	ADJ
fumecheng-12829	455	28	deflection	deflection	NOUN
fumecheng-12829	455	29	�	�	NOUN
fumecheng-12829	455	30	̅	̅	NOUN
fumecheng-12829	455	31	�	�	NOUN
fumecheng-12829	455	32	=	=	SYM
fumecheng-12829	455	33	𝑤/ℎ.	𝑤/ℎ.	PROPN
fumecheng-12829	455	34	fig	fig	NOUN
fumecheng-12829	455	35	.	.	PUNCT
fumecheng-12829	456	1	7	7	NUM
fumecheng-12829	456	2	illustrates	illustrate	VERB
fumecheng-12829	456	3	the	the	DET
fumecheng-12829	456	4	normalized	normalize	VERB
fumecheng-12829	456	5	load	load	NOUN
fumecheng-12829	456	6	central	central	ADJ
fumecheng-12829	456	7	deflection	deflection	NOUN
fumecheng-12829	456	8	curves	curve	NOUN
fumecheng-12829	456	9	for	for	ADP
fumecheng-12829	456	10	various	various	ADJ
fumecheng-12829	456	11	porosity	porosity	NOUN
fumecheng-12829	456	12	volume	volume	NOUN
fumecheng-12829	456	13	fractions	fraction	NOUN
fumecheng-12829	456	14	,	,	PUNCT
fumecheng-12829	456	15	considering	consider	VERB
fumecheng-12829	456	16	a	a	DET
fumecheng-12829	456	17	material	material	ADJ
fumecheng-12829	456	18	exponent	exponent	NOUN
fumecheng-12829	456	19	of	of	ADP
fumecheng-12829	456	20	n=0.1	n=0.1	PROPN
fumecheng-12829	456	21	.	.	PUNCT
fumecheng-12829	457	1	the	the	DET
fumecheng-12829	457	2	response	response	NOUN
fumecheng-12829	457	3	of	of	ADP
fumecheng-12829	457	4	the	the	DET
fumecheng-12829	457	5	fgp	fgp	ADJ
fumecheng-12829	457	6	plate	plate	NOUN
fumecheng-12829	457	7	closely	closely	ADV
fumecheng-12829	457	8	aligns	align	VERB
fumecheng-12829	457	9	with	with	ADP
fumecheng-12829	457	10	findings	finding	NOUN
fumecheng-12829	457	11	from	from	ADP
fumecheng-12829	457	12	nguyen	nguyen	PROPN
fumecheng-12829	457	13	et	et	PROPN
fumecheng-12829	457	14	al	al	PROPN
fumecheng-12829	457	15	.	.	PUNCT
fumecheng-12829	458	1	[	[	X
fumecheng-12829	458	2	37	37	NUM
fumecheng-12829	458	3	]	]	PUNCT
fumecheng-12829	458	4	.	.	PUNCT
fumecheng-12829	459	1	notably	notably	ADV
fumecheng-12829	459	2	,	,	PUNCT
fumecheng-12829	459	3	the	the	DET
fumecheng-12829	459	4	configurations	configuration	NOUN
fumecheng-12829	459	5	with	with	ADP
fumecheng-12829	459	6	evenly	evenly	ADV
fumecheng-12829	459	7	distributed	distribute	VERB
fumecheng-12829	459	8	pores	pore	NOUN
fumecheng-12829	459	9	exhibit	exhibit	VERB
fumecheng-12829	459	10	higher	high	ADJ
fumecheng-12829	459	11	deflections	deflection	NOUN
fumecheng-12829	459	12	compared	compare	VERB
fumecheng-12829	459	13	to	to	ADP
fumecheng-12829	459	14	the	the	DET
fumecheng-12829	459	15	uneven	uneven	ADJ
fumecheng-12829	459	16	configurations	configuration	NOUN
fumecheng-12829	459	17	due	due	ADP
fumecheng-12829	459	18	to	to	ADP
fumecheng-12829	459	19	reduced	reduce	VERB
fumecheng-12829	459	20	bending	bend	VERB
fumecheng-12829	459	21	stiffness	stiffness	NOUN
fumecheng-12829	459	22	.	.	PUNCT
fumecheng-12829	460	1	additionally	additionally	ADV
fumecheng-12829	460	2	,	,	PUNCT
fumecheng-12829	460	3	an	an	DET
fumecheng-12829	460	4	increase	increase	NOUN
fumecheng-12829	460	5	in	in	ADP
fumecheng-12829	460	6	porosity	porosity	NOUN
fumecheng-12829	460	7	volume	volume	NOUN
fumecheng-12829	460	8	fraction	fraction	NOUN
fumecheng-12829	460	9	,	,	PUNCT
fumecheng-12829	460	10	particularly	particularly	ADV
fumecheng-12829	460	11	with	with	ADP
fumecheng-12829	460	12	even	even	ADV
fumecheng-12829	460	13	distribution	distribution	NOUN
fumecheng-12829	460	14	,	,	PUNCT
fumecheng-12829	460	15	results	result	NOUN
fumecheng-12829	460	16	in	in	ADP
fumecheng-12829	460	17	higher	high	ADJ
fumecheng-12829	460	18	deflections	deflection	NOUN
fumecheng-12829	460	19	,	,	PUNCT
fumecheng-12829	460	20	whereas	whereas	SCONJ
fumecheng-12829	460	21	this	this	DET
fumecheng-12829	460	22	effect	effect	NOUN
fumecheng-12829	460	23	is	be	AUX
fumecheng-12829	460	24	less	less	ADV
fumecheng-12829	460	25	pronounced	pronounce	VERB
fumecheng-12829	460	26	with	with	ADP
fumecheng-12829	460	27	uneven	uneven	ADJ
fumecheng-12829	460	28	distribution	distribution	NOUN
fumecheng-12829	460	29	due	due	ADP
fumecheng-12829	460	30	to	to	ADP
fumecheng-12829	460	31	pores	pore	NOUN
fumecheng-12829	460	32	vanishing	vanish	VERB
fumecheng-12829	460	33	at	at	ADP
fumecheng-12829	460	34	the	the	DET
fumecheng-12829	460	35	plate	plate	NOUN
fumecheng-12829	460	36	's	's	PART
fumecheng-12829	460	37	surfaces	surface	NOUN
fumecheng-12829	460	38	.	.	PUNCT
fumecheng-12829	461	1	a	a	DET
fumecheng-12829	461	2	)	)	PUNCT
fumecheng-12829	461	3	b	b	NOUN
fumecheng-12829	461	4	)	)	PUNCT
fumecheng-12829	461	5	fig	fig	NOUN
fumecheng-12829	461	6	.	.	PUNCT
fumecheng-12829	462	1	7	7	NUM
fumecheng-12829	462	2	results	result	NOUN
fumecheng-12829	462	3	of	of	ADP
fumecheng-12829	462	4	normalized	normalize	VERB
fumecheng-12829	462	5	central	central	ADJ
fumecheng-12829	462	6	deflections	deflection	NOUN
fumecheng-12829	462	7	of	of	ADP
fumecheng-12829	462	8	the	the	DET
fumecheng-12829	462	9	porous	porous	ADJ
fumecheng-12829	462	10	fg	fg	PROPN
fumecheng-12829	462	11	plate	plate	NOUN
fumecheng-12829	462	12	versus	versus	ADP
fumecheng-12829	462	13	the	the	DET
fumecheng-12829	462	14	load	load	NOUN
fumecheng-12829	462	15	parameter	parameter	NOUN
fumecheng-12829	462	16	using	use	VERB
fumecheng-12829	462	17	the	the	DET
fumecheng-12829	462	18	material	material	ADJ
fumecheng-12829	462	19	exponent	exponent	NOUN
fumecheng-12829	462	20	n=0.1	n=0.1	NOUN
fumecheng-12829	462	21	at	at	ADP
fumecheng-12829	462	22	the	the	DET
fumecheng-12829	462	23	(	(	PUNCT
fumecheng-12829	462	24	a	a	NOUN
fumecheng-12829	462	25	):	):	PUNCT
fumecheng-12829	462	26	even	even	ADV
fumecheng-12829	462	27	;	;	PUNCT
fumecheng-12829	462	28	(	(	PUNCT
fumecheng-12829	462	29	b	b	X
fumecheng-12829	462	30	)	)	PUNCT
fumecheng-12829	462	31	uneven	uneven	ADJ
fumecheng-12829	462	32	configuration	configuration	NOUN
fumecheng-12829	462	33	3.3	3.3	NUM
fumecheng-12829	462	34	.	.	PUNCT
fumecheng-12829	463	1	nonlinear	nonlinear	ADJ
fumecheng-12829	463	2	behavior	behavior	NOUN
fumecheng-12829	463	3	of	of	ADP
fumecheng-12829	463	4	fgp	fgp	ADJ
fumecheng-12829	463	5	cantilever	cantilever	NOUN
fumecheng-12829	463	6	plate	plate	NOUN
fumecheng-12829	463	7	under	under	ADP
fumecheng-12829	463	8	uniformly	uniformly	ADV
fumecheng-12829	463	9	distributed	distribute	VERB
fumecheng-12829	463	10	load	load	NOUN
fumecheng-12829	463	11	the	the	DET
fumecheng-12829	463	12	next	next	ADJ
fumecheng-12829	463	13	test	test	NOUN
fumecheng-12829	463	14	investigates	investigate	VERB
fumecheng-12829	463	15	tip	tip	NOUN
fumecheng-12829	463	16	deformation	deformation	NOUN
fumecheng-12829	463	17	of	of	ADP
fumecheng-12829	463	18	a	a	DET
fumecheng-12829	463	19	cantilever	cantilever	NOUN
fumecheng-12829	463	20	plate	plate	NOUN
fumecheng-12829	463	21	subjected	subject	VERB
fumecheng-12829	463	22	to	to	ADP
fumecheng-12829	463	23	a	a	DET
fumecheng-12829	463	24	shear	shear	NOUN
fumecheng-12829	463	25	line	line	NOUN
fumecheng-12829	463	26	load	load	NOUN
fumecheng-12829	463	27	at	at	ADP
fumecheng-12829	463	28	the	the	DET
fumecheng-12829	463	29	free	free	ADJ
fumecheng-12829	463	30	end	end	NOUN
fumecheng-12829	463	31	.	.	PUNCT
fumecheng-12829	464	1	this	this	DET
fumecheng-12829	464	2	example	example	NOUN
fumecheng-12829	464	3	shows	show	VERB
fumecheng-12829	464	4	the	the	DET
fumecheng-12829	464	5	significance	significance	NOUN
fumecheng-12829	464	6	of	of	ADP
fumecheng-12829	464	7	the	the	DET
fumecheng-12829	464	8	enhanced	enhanced	ADJ
fumecheng-12829	464	9	thickness	thickness	NOUN
fumecheng-12829	465	1	-5	-5	INTJ
fumecheng-12829	465	2	-4	-4	INTJ
fumecheng-12829	465	3	-3	-3	INTJ
fumecheng-12829	465	4	-2	-2	INTJ
fumecheng-12829	466	1	-1	-1	NOUN
fumecheng-12829	466	2	0	0	NUM
fumecheng-12829	467	1	-0.25	-0.25	NUM
fumecheng-12829	467	2	-0.2	-0.2	NOUN
fumecheng-12829	467	3	-0.15	-0.15	NUM
fumecheng-12829	467	4	-0.1	-0.1	PROPN
fumecheng-12829	467	5	-0.05	-0.05	NOUN
fumecheng-12829	467	6	0	0	NUM
fumecheng-12829	467	7	load	load	NOUN
fumecheng-12829	467	8	parameter	parameter	NOUN
fumecheng-12829	467	9	n	n	PRON
fumecheng-12829	467	10	o	o	PROPN
fumecheng-12829	467	11	rm	rm	NOUN
fumecheng-12829	467	12	a	a	DET
fumecheng-12829	467	13	liz	liz	PROPN
fumecheng-12829	467	14	e	e	PROPN
fumecheng-12829	467	15	d	d	X
fumecheng-12829	467	16	c	c	PROPN
fumecheng-12829	467	17	e	e	X
fumecheng-12829	467	18	n	n	X
fumecheng-12829	467	19	tr	tr	NOUN
fumecheng-12829	467	20	a	a	DET
fumecheng-12829	467	21	l	l	NOUN
fumecheng-12829	467	22	d	d	X
fumecheng-12829	467	23	e	e	NOUN
fumecheng-12829	467	24	fl	fl	NOUN
fumecheng-12829	467	25	e	e	NOUN
fumecheng-12829	467	26	c	c	NOUN
fumecheng-12829	467	27	ti	ti	VERB
fumecheng-12829	467	28	o	o	NOUN
fumecheng-12829	467	29	n	n	X
fumecheng-12829	467	30	present	present	ADJ
fumecheng-12829	467	31	:	:	PUNCT
fumecheng-12829	467	32	perfect	perfect	ADJ
fumecheng-12829	467	33	present	present	NOUN
fumecheng-12829	467	34	:	:	PUNCT
fumecheng-12829	467	35	even	even	ADV
fumecheng-12829	467	36	(	(	PUNCT
fumecheng-12829	467	37	=0.2	=0.2	X
fumecheng-12829	467	38	)	)	PUNCT
fumecheng-12829	467	39	present	present	ADJ
fumecheng-12829	467	40	:	:	PUNCT
fumecheng-12829	467	41	even	even	ADV
fumecheng-12829	467	42	(	(	PUNCT
fumecheng-12829	467	43	=0.6	=0.6	NOUN
fumecheng-12829	467	44	)	)	PUNCT
fumecheng-12829	467	45	nguyen	nguyen	NOUN
fumecheng-12829	467	46	et	et	PROPN
fumecheng-12829	467	47	al.[37	al.[37	NOUN
fumecheng-12829	467	48	]	]	PUNCT
fumecheng-12829	467	49	:	:	PUNCT
fumecheng-12829	467	50	perfect	perfect	ADJ
fumecheng-12829	467	51	nguyen	nguyen	NOUN
fumecheng-12829	467	52	et	et	NOUN
fumecheng-12829	467	53	al.[37	al.[37	NOUN
fumecheng-12829	467	54	]	]	PUNCT
fumecheng-12829	467	55	:	:	PUNCT
fumecheng-12829	467	56	even	even	ADV
fumecheng-12829	467	57	(	(	PUNCT
fumecheng-12829	467	58	=0.2	=0.2	NUM
fumecheng-12829	467	59	)	)	PUNCT
fumecheng-12829	467	60	nguyen	nguyen	NOUN
fumecheng-12829	467	61	et	et	PROPN
fumecheng-12829	467	62	al.[37	al.[37	NOUN
fumecheng-12829	467	63	]	]	PUNCT
fumecheng-12829	467	64	:	:	PUNCT
fumecheng-12829	467	65	even	even	ADV
fumecheng-12829	467	66	(	(	PUNCT
fumecheng-12829	467	67	=0.6	=0.6	NOUN
fumecheng-12829	467	68	)	)	PUNCT
fumecheng-12829	467	69	-5	-5	NOUN
fumecheng-12829	467	70	-4	-4	INTJ
fumecheng-12829	467	71	-3	-3	INTJ
fumecheng-12829	468	1	-2	-2	INTJ
fumecheng-12829	469	1	-1	-1	NOUN
fumecheng-12829	469	2	0	0	PUNCT
fumecheng-12829	470	1	-0.14	-0.14	NUM
fumecheng-12829	470	2	-0.12	-0.12	NUM
fumecheng-12829	470	3	-0.1	-0.1	PROPN
fumecheng-12829	470	4	-0.08	-0.08	NUM
fumecheng-12829	470	5	-0.06	-0.06	NUM
fumecheng-12829	470	6	-0.04	-0.04	NUM
fumecheng-12829	470	7	-0.02	-0.02	NUM
fumecheng-12829	470	8	0	0	NUM
fumecheng-12829	470	9	load	load	NOUN
fumecheng-12829	470	10	parameter	parameter	NOUN
fumecheng-12829	470	11	n	n	PRON
fumecheng-12829	470	12	o	o	PROPN
fumecheng-12829	470	13	rm	rm	NOUN
fumecheng-12829	470	14	a	a	DET
fumecheng-12829	470	15	liz	liz	PROPN
fumecheng-12829	470	16	e	e	PROPN
fumecheng-12829	470	17	d	d	X
fumecheng-12829	470	18	c	c	PROPN
fumecheng-12829	470	19	e	e	X
fumecheng-12829	470	20	n	n	X
fumecheng-12829	470	21	tr	tr	NOUN
fumecheng-12829	470	22	a	a	DET
fumecheng-12829	470	23	l	l	NOUN
fumecheng-12829	470	24	d	d	X
fumecheng-12829	470	25	e	e	NOUN
fumecheng-12829	470	26	fl	fl	NOUN
fumecheng-12829	470	27	e	e	NOUN
fumecheng-12829	470	28	c	c	NOUN
fumecheng-12829	470	29	ti	ti	VERB
fumecheng-12829	470	30	o	o	NOUN
fumecheng-12829	470	31	n	n	X
fumecheng-12829	470	32	present	present	ADJ
fumecheng-12829	470	33	:	:	PUNCT
fumecheng-12829	470	34	perfect	perfect	ADJ
fumecheng-12829	470	35	present	present	ADJ
fumecheng-12829	470	36	:	:	PUNCT
fumecheng-12829	470	37	uneven	uneven	ADJ
fumecheng-12829	470	38	(	(	PUNCT
fumecheng-12829	470	39	=0.2	=0.2	NUM
fumecheng-12829	470	40	)	)	PUNCT
fumecheng-12829	470	41	present	present	ADJ
fumecheng-12829	470	42	:	:	PUNCT
fumecheng-12829	470	43	uneven	uneven	ADJ
fumecheng-12829	470	44	(	(	PUNCT
fumecheng-12829	470	45	=0.6	=0.6	NOUN
fumecheng-12829	470	46	)	)	PUNCT
fumecheng-12829	470	47	nguyen	nguyen	NOUN
fumecheng-12829	470	48	et	et	PROPN
fumecheng-12829	470	49	al.[37	al.[37	NOUN
fumecheng-12829	470	50	]	]	PUNCT
fumecheng-12829	470	51	:	:	PUNCT
fumecheng-12829	470	52	perfect	perfect	ADJ
fumecheng-12829	470	53	nguyen	nguyen	NOUN
fumecheng-12829	470	54	et	et	PROPN
fumecheng-12829	470	55	al.[37	al.[37	NOUN
fumecheng-12829	470	56	]	]	PUNCT
fumecheng-12829	470	57	:	:	PUNCT
fumecheng-12829	470	58	uneven	uneven	ADJ
fumecheng-12829	470	59	(	(	PUNCT
fumecheng-12829	470	60	=0.2	=0.2	NUM
fumecheng-12829	470	61	)	)	PUNCT
fumecheng-12829	470	62	nguyen	nguyen	NOUN
fumecheng-12829	470	63	et	et	PROPN
fumecheng-12829	470	64	al.[37	al.[37	NOUN
fumecheng-12829	470	65	]	]	PUNCT
fumecheng-12829	470	66	:	:	PUNCT
fumecheng-12829	470	67	uneven	uneven	ADJ
fumecheng-12829	470	68	(	(	PUNCT
fumecheng-12829	470	69	=0.6	=0.6	NOUN
fumecheng-12829	470	70	)	)	PUNCT
fumecheng-12829	470	71	846	846	NUM
fumecheng-12829	470	72	h.	h.	PROPN
fumecheng-12829	470	73	mallek	mallek	PROPN
fumecheng-12829	470	74	,	,	PUNCT
fumecheng-12829	470	75	h.	h.	PROPN
fumecheng-12829	470	76	mellouli	mellouli	PROPN
fumecheng-12829	470	77	,	,	PUNCT
fumecheng-12829	470	78	l.	l.	PROPN
fumecheng-12829	470	79	ben	ben	PROPN
fumecheng-12829	470	80	said	say	VERB
fumecheng-12829	470	81	,	,	PUNCT
fumecheng-12829	470	82	m.	m.	PROPN
fumecheng-12829	470	83	wali	wali	PROPN
fumecheng-12829	470	84	,	,	PUNCT
fumecheng-12829	470	85	f.	f.	PROPN
fumecheng-12829	470	86	dammak	dammak	PROPN
fumecheng-12829	470	87	,	,	PUNCT
fumecheng-12829	470	88	m.	m.	NOUN
fumecheng-12829	470	89	alhadri	alhadri	PROPN
fumecheng-12829	470	90	strains	strain	VERB
fumecheng-12829	470	91	�	�	PROPN
fumecheng-12829	470	92	̃	̃	PROPN
fumecheng-12829	470	93	�	�	NOUN
fumecheng-12829	470	94	33	33	NUM
fumecheng-12829	470	95	.	.	PUNCT
fumecheng-12829	471	1	the	the	DET
fumecheng-12829	471	2	plate	plate	NOUN
fumecheng-12829	471	3	with	with	ADP
fumecheng-12829	471	4	dimensions	dimension	NOUN
fumecheng-12829	471	5	l=10	l=10	PROPN
fumecheng-12829	471	6	mm	mm	PROPN
fumecheng-12829	471	7	,	,	PUNCT
fumecheng-12829	471	8	b=1	b=1	PROPN
fumecheng-12829	471	9	mm	mm	NOUN
fumecheng-12829	471	10	,	,	PUNCT
fumecheng-12829	471	11	and	and	CCONJ
fumecheng-12829	471	12	h=0.1	h=0.1	NOUN
fumecheng-12829	471	13	mm	mm	NOUN
fumecheng-12829	471	14	is	be	AUX
fumecheng-12829	471	15	clamped	clamp	VERB
fumecheng-12829	471	16	at	at	ADP
fumecheng-12829	471	17	one	one	NUM
fumecheng-12829	471	18	end	end	NOUN
fumecheng-12829	471	19	and	and	CCONJ
fumecheng-12829	471	20	subjected	subject	VERB
fumecheng-12829	471	21	to	to	ADP
fumecheng-12829	471	22	a	a	DET
fumecheng-12829	471	23	distributed	distribute	VERB
fumecheng-12829	471	24	transverse	transverse	NOUN
fumecheng-12829	471	25	line	line	NOUN
fumecheng-12829	471	26	load	load	NOUN
fumecheng-12829	471	27	of	of	ADP
fumecheng-12829	471	28	the	the	DET
fumecheng-12829	471	29	magnitude	magnitude	NOUN
fumecheng-12829	471	30	-1n	-1n	PROPN
fumecheng-12829	471	31	/	/	SYM
fumecheng-12829	471	32	mm	mm	PROPN
fumecheng-12829	471	33	at	at	ADP
fumecheng-12829	471	34	the	the	DET
fumecheng-12829	471	35	free	free	ADJ
fumecheng-12829	471	36	end	end	NOUN
fumecheng-12829	471	37	,	,	PUNCT
fumecheng-12829	471	38	as	as	SCONJ
fumecheng-12829	471	39	shown	show	VERB
fumecheng-12829	471	40	in	in	ADP
fumecheng-12829	471	41	fig	fig	NOUN
fumecheng-12829	471	42	.	.	PUNCT
fumecheng-12829	472	1	8	8	NUM
fumecheng-12829	472	2	.	.	X
fumecheng-12829	472	3	a	a	DET
fumecheng-12829	472	4	)	)	PUNCT
fumecheng-12829	472	5	b	b	NOUN
fumecheng-12829	472	6	)	)	PUNCT
fumecheng-12829	472	7	fig	fig	NOUN
fumecheng-12829	472	8	.	.	PUNCT
fumecheng-12829	473	1	8	8	NUM
fumecheng-12829	473	2	plate	plate	NOUN
fumecheng-12829	473	3	’s	’s	PART
fumecheng-12829	473	4	geometry	geometry	NOUN
fumecheng-12829	473	5	:	:	PUNCT
fumecheng-12829	473	6	a	a	X
fumecheng-12829	473	7	)	)	PUNCT
fumecheng-12829	473	8	underformed	underforme	VERB
fumecheng-12829	473	9	;	;	PUNCT
fumecheng-12829	473	10	b	b	X
fumecheng-12829	473	11	)	)	PUNCT
fumecheng-12829	473	12	deformed	deform	VERB
fumecheng-12829	473	13	in	in	ADP
fumecheng-12829	473	14	this	this	DET
fumecheng-12829	473	15	problem	problem	NOUN
fumecheng-12829	473	16	,	,	PUNCT
fumecheng-12829	473	17	the	the	DET
fumecheng-12829	473	18	enhanced	enhanced	ADJ
fumecheng-12829	473	19	four	four	NUM
fumecheng-12829	473	20	-	-	PUNCT
fumecheng-12829	473	21	node	node	ADJ
fumecheng-12829	473	22	element	element	NOUN
fumecheng-12829	473	23	is	be	AUX
fumecheng-12829	473	24	employed	employ	VERB
fumecheng-12829	473	25	for	for	ADP
fumecheng-12829	473	26	modeling	modeling	NOUN
fumecheng-12829	473	27	.	.	PUNCT
fumecheng-12829	474	1	the	the	DET
fumecheng-12829	474	2	functionally	functionally	ADV
fumecheng-12829	474	3	graded	grade	VERB
fumecheng-12829	474	4	material	material	NOUN
fumecheng-12829	474	5	plate	plate	NOUN
fumecheng-12829	474	6	is	be	AUX
fumecheng-12829	474	7	fabricated	fabricate	VERB
fumecheng-12829	474	8	using	use	VERB
fumecheng-12829	474	9	transition	transition	NOUN
fumecheng-12829	474	10	alloys	alloy	NOUN
fumecheng-12829	474	11	of	of	ADP
fumecheng-12829	474	12	metals	metal	NOUN
fumecheng-12829	474	13	and	and	CCONJ
fumecheng-12829	474	14	ceramics	ceramic	NOUN
fumecheng-12829	474	15	to	to	PART
fumecheng-12829	474	16	enhance	enhance	VERB
fumecheng-12829	474	17	the	the	DET
fumecheng-12829	474	18	ductility	ductility	NOUN
fumecheng-12829	474	19	of	of	ADP
fumecheng-12829	474	20	the	the	DET
fumecheng-12829	474	21	structure	structure	NOUN
fumecheng-12829	474	22	.	.	PUNCT
fumecheng-12829	475	1	it	it	PRON
fumecheng-12829	475	2	is	be	AUX
fumecheng-12829	475	3	assumed	assume	VERB
fumecheng-12829	475	4	that	that	SCONJ
fumecheng-12829	475	5	the	the	DET
fumecheng-12829	475	6	top	top	ADJ
fumecheng-12829	475	7	surface	surface	NOUN
fumecheng-12829	475	8	is	be	AUX
fumecheng-12829	475	9	rich	rich	ADJ
fumecheng-12829	475	10	in	in	ADP
fumecheng-12829	475	11	ceramics	ceramic	NOUN
fumecheng-12829	475	12	,	,	PUNCT
fumecheng-12829	475	13	while	while	SCONJ
fumecheng-12829	475	14	the	the	DET
fumecheng-12829	475	15	bottom	bottom	ADJ
fumecheng-12829	475	16	surface	surface	NOUN
fumecheng-12829	475	17	is	be	AUX
fumecheng-12829	475	18	rich	rich	ADJ
fumecheng-12829	475	19	in	in	ADP
fumecheng-12829	475	20	metals	metal	NOUN
fumecheng-12829	475	21	.	.	PUNCT
fumecheng-12829	476	1	the	the	DET
fumecheng-12829	476	2	material	material	NOUN
fumecheng-12829	476	3	properties	property	NOUN
fumecheng-12829	476	4	of	of	ADP
fumecheng-12829	476	5	the	the	DET
fumecheng-12829	476	6	fgm	fgm	PROPN
fumecheng-12829	476	7	vary	vary	VERB
fumecheng-12829	476	8	continuously	continuously	ADV
fumecheng-12829	476	9	in	in	ADP
fumecheng-12829	476	10	the	the	DET
fumecheng-12829	476	11	thickness	thickness	NOUN
fumecheng-12829	476	12	direction	direction	NOUN
fumecheng-12829	476	13	following	follow	VERB
fumecheng-12829	476	14	a	a	DET
fumecheng-12829	476	15	power	power	NOUN
fumecheng-12829	476	16	law	law	NOUN
fumecheng-12829	476	17	distribution	distribution	NOUN
fumecheng-12829	476	18	.	.	PUNCT
fumecheng-12829	477	1	the	the	DET
fumecheng-12829	477	2	poisson	poisson	NOUN
fumecheng-12829	477	3	’s	’s	PART
fumecheng-12829	477	4	ratio	ratio	NOUN
fumecheng-12829	477	5	of	of	ADP
fumecheng-12829	477	6	the	the	DET
fumecheng-12829	477	7	fg	fg	PROPN
fumecheng-12829	477	8	material	material	NOUN
fumecheng-12829	477	9	is	be	AUX
fumecheng-12829	477	10	υ	υ	NOUN
fumecheng-12829	477	11	=	=	NOUN
fumecheng-12829	477	12	0.3	0.3	NUM
fumecheng-12829	477	13	and	and	CCONJ
fumecheng-12829	477	14	the	the	DET
fumecheng-12829	477	15	young	young	ADJ
fumecheng-12829	477	16	’s	’s	PART
fumecheng-12829	477	17	modulus	modulus	NOUN
fumecheng-12829	477	18	of	of	ADP
fumecheng-12829	477	19	the	the	DET
fumecheng-12829	477	20	ceramic	ceramic	ADJ
fumecheng-12829	477	21	and	and	CCONJ
fumecheng-12829	477	22	metal	metal	NOUN
fumecheng-12829	477	23	phases	phase	NOUN
fumecheng-12829	477	24	are	be	AUX
fumecheng-12829	477	25	𝐸𝑐=	𝐸𝑐=	PROPN
fumecheng-12829	477	26	3.8	3.8	NUM
fumecheng-12829	477	27	×	×	NOUN
fumecheng-12829	477	28	105	105	NUM
fumecheng-12829	477	29	gpa	gpa	PROPN
fumecheng-12829	477	30	and	and	CCONJ
fumecheng-12829	477	31	𝐸𝑚=	𝐸𝑚=	PROPN
fumecheng-12829	477	32	2.1	2.1	NUM
fumecheng-12829	477	33	×	×	NOUN
fumecheng-12829	477	34	105	105	NUM
fumecheng-12829	477	35	gpa	gpa	NOUN
fumecheng-12829	477	36	,	,	PUNCT
fumecheng-12829	477	37	respectively	respectively	ADV
fumecheng-12829	477	38	,	,	PUNCT
fumecheng-12829	477	39	as	as	SCONJ
fumecheng-12829	477	40	reported	report	VERB
fumecheng-12829	477	41	by	by	ADP
fumecheng-12829	477	42	beheshti	beheshti	NOUN
fumecheng-12829	477	43	and	and	CCONJ
fumecheng-12829	477	44	ramezani	ramezani	NOUN
fumecheng-12829	477	45	[	[	X
fumecheng-12829	477	46	21	21	NUM
fumecheng-12829	477	47	]	]	PUNCT
fumecheng-12829	477	48	.	.	PUNCT
fumecheng-12829	478	1	in	in	ADP
fumecheng-12829	478	2	fig	fig	NOUN
fumecheng-12829	478	3	.	.	PUNCT
fumecheng-12829	479	1	9	9	NUM
fumecheng-12829	479	2	,	,	PUNCT
fumecheng-12829	479	3	the	the	DET
fumecheng-12829	479	4	nonlinear	nonlinear	ADJ
fumecheng-12829	479	5	tip	tip	NOUN
fumecheng-12829	479	6	displacement	displacement	NOUN
fumecheng-12829	479	7	of	of	ADP
fumecheng-12829	479	8	the	the	DET
fumecheng-12829	479	9	fgm	fgm	PROPN
fumecheng-12829	479	10	plate	plate	NOUN
fumecheng-12829	479	11	is	be	AUX
fumecheng-12829	479	12	presented	present	VERB
fumecheng-12829	479	13	using	use	VERB
fumecheng-12829	479	14	the	the	DET
fumecheng-12829	479	15	extensible	extensible	ADJ
fumecheng-12829	479	16	director	director	NOUN
fumecheng-12829	479	17	shell	shell	NOUN
fumecheng-12829	479	18	model	model	NOUN
fumecheng-12829	479	19	,	,	PUNCT
fumecheng-12829	479	20	with	with	ADP
fumecheng-12829	479	21	enhancements	enhancement	NOUN
fumecheng-12829	479	22	of	of	ADP
fumecheng-12829	479	23	membrane	membrane	NOUN
fumecheng-12829	479	24	and	and	CCONJ
fumecheng-12829	479	25	transverse	transverse	NOUN
fumecheng-12829	479	26	strains	strain	NOUN
fumecheng-12829	479	27	,	,	PUNCT
fumecheng-12829	479	28	across	across	ADP
fumecheng-12829	479	29	various	various	ADJ
fumecheng-12829	479	30	values	value	NOUN
fumecheng-12829	479	31	of	of	ADP
fumecheng-12829	479	32	the	the	DET
fumecheng-12829	479	33	material	material	NOUN
fumecheng-12829	479	34	exponent	exponent	NOUN
fumecheng-12829	479	35	.	.	PUNCT
fumecheng-12829	480	1	it	it	PRON
fumecheng-12829	480	2	is	be	AUX
fumecheng-12829	480	3	observed	observe	VERB
fumecheng-12829	480	4	that	that	SCONJ
fumecheng-12829	480	5	as	as	ADP
fumecheng-12829	480	6	the	the	DET
fumecheng-12829	480	7	material	material	NOUN
fumecheng-12829	480	8	exponent	exponent	NOUN
fumecheng-12829	480	9	fig	fig	NOUN
fumecheng-12829	480	10	.	.	PUNCT
fumecheng-12829	481	1	9	9	NUM
fumecheng-12829	481	2	load	load	NOUN
fumecheng-12829	481	3	-	-	PUNCT
fumecheng-12829	481	4	deflection	deflection	NOUN
fumecheng-12829	481	5	curves	curve	NOUN
fumecheng-12829	481	6	of	of	ADP
fumecheng-12829	481	7	the	the	DET
fumecheng-12829	481	8	fgm	fgm	PROPN
fumecheng-12829	481	9	cantilever	cantilever	NOUN
fumecheng-12829	481	10	plate	plate	NOUN
fumecheng-12829	481	11	for	for	ADP
fumecheng-12829	481	12	various	various	ADJ
fumecheng-12829	481	13	values	value	NOUN
fumecheng-12829	481	14	of	of	ADP
fumecheng-12829	481	15	the	the	DET
fumecheng-12829	481	16	material	material	ADJ
fumecheng-12829	481	17	exponent	exponent	NOUN
fumecheng-12829	481	18	porosity	porosity	NOUN
fumecheng-12829	481	19	effects	effect	NOUN
fumecheng-12829	481	20	on	on	ADP
fumecheng-12829	481	21	nonlinear	nonlinear	ADJ
fumecheng-12829	481	22	static	static	ADJ
fumecheng-12829	481	23	performances	performance	NOUN
fumecheng-12829	481	24	of	of	ADP
fumecheng-12829	481	25	fg	fg	PROPN
fumecheng-12829	481	26	shells	shell	NOUN
fumecheng-12829	481	27	considering	consider	VERB
fumecheng-12829	481	28	thickness	thickness	NOUN
fumecheng-12829	481	29	stretching	stretch	VERB
fumecheng-12829	481	30	847	847	NUM
fumecheng-12829	481	31	n	n	NOUN
fumecheng-12829	481	32	transitions	transition	NOUN
fumecheng-12829	481	33	from	from	ADP
fumecheng-12829	481	34	ceramic	ceramic	ADJ
fumecheng-12829	481	35	to	to	ADP
fumecheng-12829	481	36	metal	metal	NOUN
fumecheng-12829	481	37	,	,	PUNCT
fumecheng-12829	481	38	the	the	DET
fumecheng-12829	481	39	tip	tip	NOUN
fumecheng-12829	481	40	deflection	deflection	NOUN
fumecheng-12829	481	41	increases	increase	NOUN
fumecheng-12829	481	42	,	,	PUNCT
fumecheng-12829	481	43	with	with	ADP
fumecheng-12829	481	44	metallic	metallic	ADJ
fumecheng-12829	481	45	plates	plate	NOUN
fumecheng-12829	481	46	exhibiting	exhibit	VERB
fumecheng-12829	481	47	greater	great	ADJ
fumecheng-12829	481	48	deflection	deflection	NOUN
fumecheng-12829	481	49	due	due	ADP
fumecheng-12829	481	50	to	to	ADP
fumecheng-12829	481	51	the	the	DET
fumecheng-12829	481	52	higher	high	ADJ
fumecheng-12829	481	53	bending	bend	VERB
fumecheng-12829	481	54	stiffness	stiffness	NOUN
fumecheng-12829	481	55	of	of	ADP
fumecheng-12829	481	56	ceramic	ceramic	ADJ
fumecheng-12829	481	57	plates	plate	NOUN
fumecheng-12829	481	58	.	.	PUNCT
fumecheng-12829	482	1	furthermore	furthermore	ADV
fumecheng-12829	482	2	,	,	PUNCT
fumecheng-12829	482	3	the	the	DET
fumecheng-12829	482	4	nonlinear	nonlinear	ADJ
fumecheng-12829	482	5	response	response	NOUN
fumecheng-12829	482	6	of	of	ADP
fumecheng-12829	482	7	the	the	DET
fumecheng-12829	482	8	fgm	fgm	PROPN
fumecheng-12829	482	9	cantilever	cantilever	NOUN
fumecheng-12829	482	10	plate	plate	NOUN
fumecheng-12829	482	11	closely	closely	ADV
fumecheng-12829	482	12	aligns	align	VERB
fumecheng-12829	482	13	with	with	ADP
fumecheng-12829	482	14	the	the	DET
fumecheng-12829	482	15	findings	finding	NOUN
fumecheng-12829	482	16	reported	report	VERB
fumecheng-12829	482	17	by	by	ADP
fumecheng-12829	482	18	beheshti	beheshti	NOUN
fumecheng-12829	482	19	and	and	CCONJ
fumecheng-12829	482	20	ramezani	ramezani	NOUN
fumecheng-12829	482	21	[	[	X
fumecheng-12829	482	22	21	21	NUM
fumecheng-12829	482	23	]	]	X
fumecheng-12829	482	24	,	,	PUNCT
fumecheng-12829	482	25	who	who	PRON
fumecheng-12829	482	26	employed	employ	VERB
fumecheng-12829	482	27	a	a	DET
fumecheng-12829	482	28	seven	seven	NUM
fumecheng-12829	482	29	-	-	PUNCT
fumecheng-12829	482	30	parameter	parameter	NOUN
fumecheng-12829	482	31	shell	shell	NOUN
fumecheng-12829	482	32	model	model	NOUN
fumecheng-12829	482	33	to	to	PART
fumecheng-12829	482	34	account	account	VERB
fumecheng-12829	482	35	for	for	ADP
fumecheng-12829	482	36	the	the	DET
fumecheng-12829	482	37	thickness	thickness	NOUN
fumecheng-12829	482	38	change	change	NOUN
fumecheng-12829	482	39	and	and	CCONJ
fumecheng-12829	482	40	utilized	utilize	VERB
fumecheng-12829	482	41	the	the	DET
fumecheng-12829	482	42	enhanced	enhanced	ADJ
fumecheng-12829	482	43	assumed	assume	VERB
fumecheng-12829	482	44	strain	strain	NOUN
fumecheng-12829	482	45	(	(	PUNCT
fumecheng-12829	482	46	eas	ea	NOUN
fumecheng-12829	482	47	)	)	PUNCT
fumecheng-12829	482	48	method	method	NOUN
fumecheng-12829	482	49	to	to	PART
fumecheng-12829	482	50	mitigate	mitigate	VERB
fumecheng-12829	482	51	the	the	DET
fumecheng-12829	482	52	locking	locking	NOUN
fumecheng-12829	482	53	phenomena	phenomenon	NOUN
fumecheng-12829	482	54	.	.	PUNCT
fumecheng-12829	483	1	hence	hence	ADV
fumecheng-12829	483	2	,	,	PUNCT
fumecheng-12829	483	3	the	the	DET
fumecheng-12829	483	4	current	current	ADJ
fumecheng-12829	483	5	nonlinear	nonlinear	ADJ
fumecheng-12829	483	6	model	model	NOUN
fumecheng-12829	483	7	demonstrates	demonstrate	VERB
fumecheng-12829	483	8	the	the	DET
fumecheng-12829	483	9	capability	capability	NOUN
fumecheng-12829	483	10	to	to	PART
fumecheng-12829	483	11	yield	yield	VERB
fumecheng-12829	483	12	convergent	convergent	NOUN
fumecheng-12829	483	13	results	result	NOUN
fumecheng-12829	483	14	and	and	CCONJ
fumecheng-12829	483	15	avoid	avoid	VERB
fumecheng-12829	483	16	locking	lock	VERB
fumecheng-12829	483	17	.	.	PUNCT
fumecheng-12829	484	1	fig	fig	NOUN
fumecheng-12829	484	2	.	.	PUNCT
fumecheng-12829	485	1	10	10	NUM
fumecheng-12829	485	2	depicts	depict	VERB
fumecheng-12829	485	3	a	a	DET
fumecheng-12829	485	4	comparison	comparison	NOUN
fumecheng-12829	485	5	between	between	ADP
fumecheng-12829	485	6	the	the	DET
fumecheng-12829	485	7	linear	linear	ADJ
fumecheng-12829	485	8	and	and	CCONJ
fumecheng-12829	485	9	nonlinear	nonlinear	ADJ
fumecheng-12829	485	10	deflections	deflection	NOUN
fumecheng-12829	485	11	of	of	ADP
fumecheng-12829	485	12	cantilever	cantilever	NOUN
fumecheng-12829	485	13	plates	plate	NOUN
fumecheng-12829	485	14	made	make	VERB
fumecheng-12829	485	15	of	of	ADP
fumecheng-12829	485	16	ceramic	ceramic	ADJ
fumecheng-12829	485	17	and	and	CCONJ
fumecheng-12829	485	18	metal	metal	NOUN
fumecheng-12829	485	19	.	.	PUNCT
fumecheng-12829	486	1	it	it	PRON
fumecheng-12829	486	2	is	be	AUX
fumecheng-12829	486	3	evident	evident	ADJ
fumecheng-12829	486	4	that	that	SCONJ
fumecheng-12829	486	5	the	the	DET
fumecheng-12829	486	6	displacement	displacement	NOUN
fumecheng-12829	486	7	magnitudes	magnitude	NOUN
fumecheng-12829	486	8	are	be	AUX
fumecheng-12829	486	9	consistently	consistently	ADV
fumecheng-12829	486	10	overestimated	overestimate	VERB
fumecheng-12829	486	11	in	in	ADP
fumecheng-12829	486	12	linear	linear	PROPN
fumecheng-12829	486	13	analysis	analysis	NOUN
fumecheng-12829	486	14	.	.	PUNCT
fumecheng-12829	487	1	this	this	DET
fumecheng-12829	487	2	discrepancy	discrepancy	NOUN
fumecheng-12829	487	3	arises	arise	VERB
fumecheng-12829	487	4	because	because	SCONJ
fumecheng-12829	487	5	the	the	DET
fumecheng-12829	487	6	result	result	NOUN
fumecheng-12829	487	7	of	of	ADP
fumecheng-12829	487	8	the	the	DET
fumecheng-12829	487	9	linear	linear	ADJ
fumecheng-12829	487	10	analysis	analysis	NOUN
fumecheng-12829	487	11	is	be	AUX
fumecheng-12829	487	12	dominated	dominate	VERB
fumecheng-12829	487	13	by	by	ADP
fumecheng-12829	487	14	the	the	DET
fumecheng-12829	487	15	bending	bend	VERB
fumecheng-12829	487	16	stiffness	stiffness	NOUN
fumecheng-12829	487	17	,	,	PUNCT
fumecheng-12829	487	18	while	while	SCONJ
fumecheng-12829	487	19	the	the	DET
fumecheng-12829	487	20	nonlinear	nonlinear	ADJ
fumecheng-12829	487	21	behavior	behavior	NOUN
fumecheng-12829	487	22	correctly	correctly	ADV
fumecheng-12829	487	23	accounts	account	VERB
fumecheng-12829	487	24	for	for	ADP
fumecheng-12829	487	25	the	the	DET
fumecheng-12829	487	26	influence	influence	NOUN
fumecheng-12829	487	27	of	of	ADP
fumecheng-12829	487	28	the	the	DET
fumecheng-12829	487	29	membrane	membrane	NOUN
fumecheng-12829	487	30	stiffness	stiffness	NOUN
fumecheng-12829	487	31	.	.	PUNCT
fumecheng-12829	488	1	furthermore	furthermore	ADV
fumecheng-12829	488	2	,	,	PUNCT
fumecheng-12829	488	3	the	the	DET
fumecheng-12829	488	4	nonlinear	nonlinear	ADJ
fumecheng-12829	488	5	effect	effect	NOUN
fumecheng-12829	488	6	is	be	AUX
fumecheng-12829	488	7	more	more	ADV
fumecheng-12829	488	8	pronounced	pronounced	ADJ
fumecheng-12829	488	9	for	for	ADP
fumecheng-12829	488	10	metallic	metallic	ADJ
fumecheng-12829	488	11	plates	plate	NOUN
fumecheng-12829	488	12	,	,	PUNCT
fumecheng-12829	488	13	which	which	PRON
fumecheng-12829	488	14	exhibit	exhibit	VERB
fumecheng-12829	488	15	lower	low	ADJ
fumecheng-12829	488	16	stiffness	stiffness	NOUN
fumecheng-12829	488	17	compared	compare	VERB
fumecheng-12829	488	18	to	to	ADP
fumecheng-12829	488	19	ceramic	ceramic	ADJ
fumecheng-12829	488	20	plates	plate	NOUN
fumecheng-12829	488	21	.	.	PUNCT
fumecheng-12829	489	1	fig	fig	NOUN
fumecheng-12829	489	2	.	.	PUNCT
fumecheng-12829	490	1	10	10	NUM
fumecheng-12829	490	2	linear	linear	ADJ
fumecheng-12829	490	3	and	and	CCONJ
fumecheng-12829	490	4	nonlinear	nonlinear	ADJ
fumecheng-12829	490	5	deflection	deflection	NOUN
fumecheng-12829	490	6	curves	curve	NOUN
fumecheng-12829	490	7	of	of	ADP
fumecheng-12829	490	8	cantilever	cantilever	NOUN
fumecheng-12829	490	9	plate	plate	NOUN
fumecheng-12829	490	10	made	make	VERB
fumecheng-12829	490	11	of	of	ADP
fumecheng-12829	490	12	ceramic	ceramic	ADJ
fumecheng-12829	490	13	and	and	CCONJ
fumecheng-12829	490	14	metal	metal	NOUN
fumecheng-12829	490	15	3.4	3.4	NUM
fumecheng-12829	490	16	.	.	PUNCT
fumecheng-12829	491	1	nonlinear	nonlinear	ADJ
fumecheng-12829	491	2	behavior	behavior	NOUN
fumecheng-12829	491	3	of	of	ADP
fumecheng-12829	491	4	hinged	hinge	VERB
fumecheng-12829	491	5	fgm	fgm	PROPN
fumecheng-12829	491	6	cylindrical	cylindrical	ADJ
fumecheng-12829	491	7	panel	panel	NOUN
fumecheng-12829	491	8	the	the	DET
fumecheng-12829	491	9	next	next	ADJ
fumecheng-12829	491	10	example	example	NOUN
fumecheng-12829	491	11	deals	deal	VERB
fumecheng-12829	491	12	with	with	ADP
fumecheng-12829	491	13	the	the	DET
fumecheng-12829	491	14	cylindrical	cylindrical	ADJ
fumecheng-12829	491	15	panel	panel	NOUN
fumecheng-12829	491	16	,	,	PUNCT
fumecheng-12829	491	17	often	often	ADV
fumecheng-12829	491	18	referred	refer	VERB
fumecheng-12829	491	19	to	to	ADP
fumecheng-12829	491	20	as	as	ADP
fumecheng-12829	491	21	the	the	DET
fumecheng-12829	491	22	roof	roof	NOUN
fumecheng-12829	491	23	-	-	PUNCT
fumecheng-12829	491	24	like	like	ADJ
fumecheng-12829	491	25	panel	panel	NOUN
fumecheng-12829	491	26	,	,	PUNCT
fumecheng-12829	491	27	depicted	depict	VERB
fumecheng-12829	491	28	in	in	ADP
fumecheng-12829	491	29	fig	fig	NOUN
fumecheng-12829	491	30	.	.	PUNCT
fumecheng-12829	492	1	11	11	NUM
fumecheng-12829	492	2	.	.	PUNCT
fumecheng-12829	493	1	the	the	DET
fumecheng-12829	493	2	example	example	NOUN
fumecheng-12829	493	3	aims	aim	VERB
fumecheng-12829	493	4	to	to	PART
fumecheng-12829	493	5	assess	assess	VERB
fumecheng-12829	493	6	the	the	DET
fumecheng-12829	493	7	accuracy	accuracy	NOUN
fumecheng-12829	493	8	of	of	ADP
fumecheng-12829	493	9	the	the	DET
fumecheng-12829	493	10	presented	present	VERB
fumecheng-12829	493	11	enhanced	enhance	VERB
fumecheng-12829	493	12	element	element	NOUN
fumecheng-12829	493	13	in	in	ADP
fumecheng-12829	493	14	nonlinear	nonlinear	ADJ
fumecheng-12829	493	15	analysis	analysis	NOUN
fumecheng-12829	493	16	.	.	PUNCT
fumecheng-12829	494	1	the	the	DET
fumecheng-12829	494	2	geometrical	geometrical	ADJ
fumecheng-12829	494	3	characteristics	characteristic	NOUN
fumecheng-12829	494	4	of	of	ADP
fumecheng-12829	494	5	the	the	DET
fumecheng-12829	494	6	panel	panel	NOUN
fumecheng-12829	494	7	include	include	VERB
fumecheng-12829	494	8	a	a	DET
fumecheng-12829	494	9	length	length	NOUN
fumecheng-12829	494	10	of	of	ADP
fumecheng-12829	494	11	l=508	l=508	PROPN
fumecheng-12829	494	12	mm	mm	NOUN
fumecheng-12829	494	13	,	,	PUNCT
fumecheng-12829	494	14	a	a	DET
fumecheng-12829	494	15	radius	radius	NOUN
fumecheng-12829	494	16	of	of	ADP
fumecheng-12829	494	17	r=2540	r=2540	PROPN
fumecheng-12829	494	18	mm	mm	PROPN
fumecheng-12829	494	19	,	,	PUNCT
fumecheng-12829	494	20	a	a	DET
fumecheng-12829	494	21	thickness	thickness	NOUN
fumecheng-12829	494	22	of	of	ADP
fumecheng-12829	494	23	h=12.7	h=12.7	PROPN
fumecheng-12829	494	24	mm	mm	PROPN
fumecheng-12829	494	25	and	and	CCONJ
fumecheng-12829	494	26	a	a	DET
fumecheng-12829	494	27	span	span	NOUN
fumecheng-12829	494	28	angle	angle	NOUN
fumecheng-12829	494	29	of	of	ADP
fumecheng-12829	494	30	θ	θ	PROPN
fumecheng-12829	494	31	=	=	SYM
fumecheng-12829	494	32	0.1	0.1	NUM
fumecheng-12829	494	33	rad	rad	NOUN
fumecheng-12829	494	34	.	.	PUNCT
fumecheng-12829	495	1	the	the	DET
fumecheng-12829	495	2	shell	shell	NOUN
fumecheng-12829	495	3	is	be	AUX
fumecheng-12829	495	4	free	free	ADJ
fumecheng-12829	495	5	at	at	ADP
fumecheng-12829	495	6	its	its	PRON
fumecheng-12829	495	7	straight	straight	ADJ
fumecheng-12829	495	8	edges	edge	NOUN
fumecheng-12829	495	9	,	,	PUNCT
fumecheng-12829	495	10	hinged	hinge	VERB
fumecheng-12829	495	11	over	over	ADP
fumecheng-12829	495	12	the	the	DET
fumecheng-12829	495	13	two	two	NUM
fumecheng-12829	495	14	curved	curved	ADJ
fumecheng-12829	495	15	edges	edge	NOUN
fumecheng-12829	495	16	,	,	PUNCT
fumecheng-12829	495	17	and	and	CCONJ
fumecheng-12829	495	18	subjected	subject	VERB
fumecheng-12829	495	19	to	to	ADP
fumecheng-12829	495	20	a	a	DET
fumecheng-12829	495	21	concentrated	concentrate	VERB
fumecheng-12829	495	22	normal	normal	ADJ
fumecheng-12829	495	23	force	force	NOUN
fumecheng-12829	495	24	f	f	PROPN
fumecheng-12829	495	25	acting	act	VERB
fumecheng-12829	495	26	in	in	ADP
fumecheng-12829	495	27	the	the	DET
fumecheng-12829	495	28	middle	middle	NOUN
fumecheng-12829	495	29	of	of	ADP
fumecheng-12829	495	30	the	the	DET
fumecheng-12829	495	31	panel	panel	NOUN
fumecheng-12829	495	32	.	.	PUNCT
fumecheng-12829	496	1	the	the	DET
fumecheng-12829	496	2	panel	panel	NOUN
fumecheng-12829	496	3	is	be	AUX
fumecheng-12829	496	4	made	make	VERB
fumecheng-12829	496	5	of	of	ADP
fumecheng-12829	496	6	a	a	DET
fumecheng-12829	496	7	mixture	mixture	NOUN
fumecheng-12829	496	8	of	of	ADP
fumecheng-12829	496	9	two	two	NUM
fumecheng-12829	496	10	material	material	NOUN
fumecheng-12829	496	11	phases	phase	NOUN
fumecheng-12829	496	12	with	with	ADP
fumecheng-12829	496	13	the	the	DET
fumecheng-12829	496	14	following	follow	VERB
fumecheng-12829	496	15	mechanical	mechanical	ADJ
fumecheng-12829	496	16	properties	property	NOUN
fumecheng-12829	496	17	:	:	PUNCT
fumecheng-12829	496	18	elastic	elastic	ADJ
fumecheng-12829	496	19	modulus	modulus	NOUN
fumecheng-12829	496	20	𝐸𝑚=3102.75	𝐸𝑚=3102.75	PROPN
fumecheng-12829	496	21	mpa	mpa	PROPN
fumecheng-12829	496	22	and	and	CCONJ
fumecheng-12829	496	23	𝐸𝑐=3615.77	𝐸𝑐=3615.77	NUM
fumecheng-12829	496	24	mpa	mpa	PROPN
fumecheng-12829	496	25	,	,	PUNCT
fumecheng-12829	496	26	for	for	ADP
fumecheng-12829	496	27	metal	metal	NOUN
fumecheng-12829	496	28	and	and	CCONJ
fumecheng-12829	496	29	ceramic	ceramic	NOUN
fumecheng-12829	496	30	,	,	PUNCT
fumecheng-12829	496	31	respectively	respectively	ADV
fumecheng-12829	496	32	,	,	PUNCT
fumecheng-12829	496	33	and	and	CCONJ
fumecheng-12829	496	34	a	a	DET
fumecheng-12829	496	35	poisson	poisson	NOUN
fumecheng-12829	496	36	’s	’s	PART
fumecheng-12829	496	37	ratio	ratio	NOUN
fumecheng-12829	496	38	υ	υ	PROPN
fumecheng-12829	497	1	=	=	NOUN
fumecheng-12829	497	2	0.3	0.3	NUM
fumecheng-12829	497	3	.	.	PUNCT
fumecheng-12829	498	1	due	due	ADP
fumecheng-12829	498	2	to	to	ADP
fumecheng-12829	498	3	the	the	DET
fumecheng-12829	498	4	structure	structure	NOUN
fumecheng-12829	498	5	's	's	PART
fumecheng-12829	498	6	symmetry	symmetry	NOUN
fumecheng-12829	498	7	,	,	PUNCT
fumecheng-12829	498	8	one	one	NUM
fumecheng-12829	498	9	quarter	quarter	NOUN
fumecheng-12829	498	10	of	of	ADP
fumecheng-12829	498	11	the	the	DET
fumecheng-12829	498	12	panel	panel	NOUN
fumecheng-12829	498	13	is	be	AUX
fumecheng-12829	498	14	discretized	discretize	VERB
fumecheng-12829	498	15	by	by	ADP
fumecheng-12829	498	16	4×4	4×4	NUM
fumecheng-12829	498	17	enhanced	enhance	VERB
fumecheng-12829	498	18	elements	element	NOUN
fumecheng-12829	498	19	.	.	PUNCT
fumecheng-12829	499	1	0	0	NUM
fumecheng-12829	499	2	2	2	NUM
fumecheng-12829	499	3	4	4	NUM
fumecheng-12829	499	4	6	6	NUM
fumecheng-12829	499	5	8	8	NUM
fumecheng-12829	499	6	10	10	NUM
fumecheng-12829	499	7	12	12	NUM
fumecheng-12829	499	8	14	14	NUM
fumecheng-12829	499	9	16	16	NUM
fumecheng-12829	499	10	18	18	NUM
fumecheng-12829	499	11	20	20	NUM
fumecheng-12829	499	12	0	0	NUM
fumecheng-12829	499	13	0.1	0.1	NUM
fumecheng-12829	499	14	0.2	0.2	NUM
fumecheng-12829	499	15	0.3	0.3	NUM
fumecheng-12829	499	16	0.4	0.4	NUM
fumecheng-12829	499	17	0.5	0.5	NUM
fumecheng-12829	499	18	0.6	0.6	NUM
fumecheng-12829	499	19	0.7	0.7	NUM
fumecheng-12829	499	20	0.8	0.8	NUM
fumecheng-12829	499	21	0.9	0.9	NUM
fumecheng-12829	499	22	1	1	NUM
fumecheng-12829	499	23	displacement	displacement	NOUN
fumecheng-12829	500	1	[	[	X
fumecheng-12829	500	2	mm	mm	X
fumecheng-12829	500	3	]	]	X
fumecheng-12829	500	4	l	l	NOUN
fumecheng-12829	500	5	o	o	X
fumecheng-12829	500	6	a	a	DET
fumecheng-12829	500	7	d	d	X
fumecheng-12829	500	8	q	q	X
fumecheng-12829	500	9	[	[	PUNCT
fumecheng-12829	500	10	n	n	PROPN
fumecheng-12829	500	11	/m	/m	SYM
fumecheng-12829	500	12	m	m	PROPN
fumecheng-12829	500	13	]	]	PUNCT
fumecheng-12829	500	14	nonlinear	nonlinear	ADJ
fumecheng-12829	500	15	deflection	deflection	NOUN
fumecheng-12829	500	16	:	:	PUNCT
fumecheng-12829	500	17	ceramic	ceramic	ADJ
fumecheng-12829	500	18	linear	linear	NOUN
fumecheng-12829	500	19	deflection	deflection	NOUN
fumecheng-12829	500	20	:	:	PUNCT
fumecheng-12829	500	21	ceramic	ceramic	ADJ
fumecheng-12829	500	22	nonlinear	nonlinear	ADJ
fumecheng-12829	500	23	deflection	deflection	NOUN
fumecheng-12829	500	24	:	:	PUNCT
fumecheng-12829	500	25	metal	metal	NOUN
fumecheng-12829	500	26	linear	linear	NOUN
fumecheng-12829	500	27	deflection	deflection	NOUN
fumecheng-12829	500	28	:	:	PUNCT
fumecheng-12829	500	29	metal	metal	PROPN
fumecheng-12829	500	30	848	848	NUM
fumecheng-12829	500	31	h.	h.	PROPN
fumecheng-12829	500	32	mallek	mallek	PROPN
fumecheng-12829	500	33	,	,	PUNCT
fumecheng-12829	500	34	h.	h.	PROPN
fumecheng-12829	500	35	mellouli	mellouli	PROPN
fumecheng-12829	500	36	,	,	PUNCT
fumecheng-12829	500	37	l.	l.	PROPN
fumecheng-12829	500	38	ben	ben	PROPN
fumecheng-12829	500	39	said	say	VERB
fumecheng-12829	500	40	,	,	PUNCT
fumecheng-12829	500	41	m.	m.	PROPN
fumecheng-12829	500	42	wali	wali	PROPN
fumecheng-12829	500	43	,	,	PUNCT
fumecheng-12829	500	44	f.	f.	PROPN
fumecheng-12829	500	45	dammak	dammak	PROPN
fumecheng-12829	500	46	,	,	PUNCT
fumecheng-12829	500	47	m.	m.	NOUN
fumecheng-12829	500	48	alhadri	alhadri	ADJ
fumecheng-12829	500	49	a	a	DET
fumecheng-12829	500	50	)	)	PUNCT
fumecheng-12829	500	51	b	b	NOUN
fumecheng-12829	500	52	)	)	PUNCT
fumecheng-12829	500	53	fig	fig	NOUN
fumecheng-12829	500	54	.	.	PUNCT
fumecheng-12829	501	1	11	11	NUM
fumecheng-12829	501	2	(	(	PUNCT
fumecheng-12829	501	3	a	a	X
fumecheng-12829	501	4	)	)	PUNCT
fumecheng-12829	501	5	undeformed	undeformed	ADJ
fumecheng-12829	501	6	and	and	CCONJ
fumecheng-12829	501	7	(	(	PUNCT
fumecheng-12829	501	8	b	b	NOUN
fumecheng-12829	501	9	)	)	PUNCT
fumecheng-12829	501	10	deformed	deform	VERB
fumecheng-12829	501	11	shapes	shape	NOUN
fumecheng-12829	501	12	of	of	ADP
fumecheng-12829	501	13	the	the	DET
fumecheng-12829	501	14	fgm	fgm	PROPN
fumecheng-12829	501	15	hinged	hinge	VERB
fumecheng-12829	501	16	cylinder	cylinder	NOUN
fumecheng-12829	501	17	the	the	DET
fumecheng-12829	501	18	nonlinear	nonlinear	ADJ
fumecheng-12829	501	19	deflection	deflection	NOUN
fumecheng-12829	501	20	at	at	ADP
fumecheng-12829	501	21	the	the	DET
fumecheng-12829	501	22	loaded	load	VERB
fumecheng-12829	501	23	point	point	NOUN
fumecheng-12829	501	24	,	,	PUNCT
fumecheng-12829	501	25	obtained	obtain	VERB
fumecheng-12829	501	26	using	use	VERB
fumecheng-12829	501	27	the	the	DET
fumecheng-12829	501	28	developed	develop	VERB
fumecheng-12829	501	29	extensible	extensible	ADJ
fumecheng-12829	501	30	3d	3d	PROPN
fumecheng-12829	501	31	director	director	NOUN
fumecheng-12829	501	32	shell	shell	NOUN
fumecheng-12829	501	33	model	model	NOUN
fumecheng-12829	501	34	,	,	PUNCT
fumecheng-12829	501	35	is	be	AUX
fumecheng-12829	501	36	depicted	depict	VERB
fumecheng-12829	501	37	in	in	ADP
fumecheng-12829	501	38	fig	fig	NOUN
fumecheng-12829	501	39	.	.	PUNCT
fumecheng-12829	502	1	12	12	NUM
fumecheng-12829	502	2	for	for	ADP
fumecheng-12829	502	3	various	various	ADJ
fumecheng-12829	502	4	values	value	NOUN
fumecheng-12829	502	5	of	of	ADP
fumecheng-12829	502	6	the	the	DET
fumecheng-12829	502	7	material	material	NOUN
fumecheng-12829	502	8	exponent	exponent	NOUN
fumecheng-12829	502	9	n	n	CCONJ
fumecheng-12829	502	10	,	,	PUNCT
fumecheng-12829	502	11	and	and	CCONJ
fumecheng-12829	502	12	are	be	AUX
fumecheng-12829	502	13	compared	compare	VERB
fumecheng-12829	502	14	with	with	ADP
fumecheng-12829	502	15	the	the	DET
fumecheng-12829	502	16	results	result	NOUN
fumecheng-12829	502	17	by	by	ADP
fumecheng-12829	502	18	the	the	DET
fumecheng-12829	502	19	models	model	NOUN
fumecheng-12829	502	20	available	available	ADJ
fumecheng-12829	502	21	in	in	ADP
fumecheng-12829	502	22	the	the	DET
fumecheng-12829	502	23	literature	literature	NOUN
fumecheng-12829	503	1	[	[	X
fumecheng-12829	503	2	21	21	NUM
fumecheng-12829	503	3	]	]	PUNCT
fumecheng-12829	503	4	.	.	PUNCT
fumecheng-12829	504	1	it	it	PRON
fumecheng-12829	504	2	is	be	AUX
fumecheng-12829	504	3	evident	evident	ADJ
fumecheng-12829	504	4	that	that	SCONJ
fumecheng-12829	504	5	the	the	DET
fumecheng-12829	504	6	obtained	obtain	VERB
fumecheng-12829	504	7	results	result	NOUN
fumecheng-12829	504	8	closely	closely	ADV
fumecheng-12829	504	9	align	align	VERB
fumecheng-12829	504	10	with	with	ADP
fumecheng-12829	504	11	the	the	DET
fumecheng-12829	504	12	numerical	numerical	ADJ
fumecheng-12829	504	13	solutions	solution	NOUN
fumecheng-12829	504	14	presented	present	VERB
fumecheng-12829	504	15	by	by	ADP
fumecheng-12829	504	16	beheshti	beheshti	NOUN
fumecheng-12829	504	17	and	and	CCONJ
fumecheng-12829	504	18	ramezani	ramezani	NOUN
fumecheng-12829	504	19	[	[	X
fumecheng-12829	504	20	21	21	NUM
fumecheng-12829	504	21	]	]	X
fumecheng-12829	504	22	,	,	PUNCT
fumecheng-12829	504	23	particularly	particularly	ADV
fumecheng-12829	504	24	in	in	ADP
fumecheng-12829	504	25	the	the	DET
fumecheng-12829	504	26	case	case	NOUN
fumecheng-12829	504	27	of	of	ADP
fumecheng-12829	504	28	the	the	DET
fumecheng-12829	504	29	fully	fully	ADV
fumecheng-12829	504	30	metallic	metallic	ADJ
fumecheng-12829	504	31	shell	shell	NOUN
fumecheng-12829	504	32	,	,	PUNCT
fumecheng-12829	504	33	displaying	display	VERB
fumecheng-12829	504	34	good	good	ADJ
fumecheng-12829	504	35	agreement	agreement	NOUN
fumecheng-12829	504	36	across	across	ADP
fumecheng-12829	504	37	different	different	ADJ
fumecheng-12829	504	38	material	material	NOUN
fumecheng-12829	504	39	exponent	exponent	NOUN
fumecheng-12829	504	40	n.	n.	PROPN
fumecheng-12829	504	41	this	this	PRON
fumecheng-12829	504	42	underscores	underscore	VERB
fumecheng-12829	504	43	the	the	DET
fumecheng-12829	504	44	high	high	ADJ
fumecheng-12829	504	45	accuracy	accuracy	NOUN
fumecheng-12829	504	46	of	of	ADP
fumecheng-12829	504	47	the	the	DET
fumecheng-12829	504	48	developed	develop	VERB
fumecheng-12829	504	49	fe	fe	X
fumecheng-12829	504	50	shell	shell	NOUN
fumecheng-12829	504	51	model	model	NOUN
fumecheng-12829	504	52	in	in	ADP
fumecheng-12829	504	53	predicting	predict	VERB
fumecheng-12829	504	54	large	large	ADJ
fumecheng-12829	504	55	displacements	displacement	NOUN
fumecheng-12829	504	56	.	.	PUNCT
fumecheng-12829	505	1	furthermore	furthermore	ADV
fumecheng-12829	505	2	,	,	PUNCT
fumecheng-12829	505	3	as	as	SCONJ
fumecheng-12829	505	4	illustrated	illustrate	VERB
fumecheng-12829	505	5	in	in	ADP
fumecheng-12829	505	6	fig	fig	NOUN
fumecheng-12829	505	7	.	.	PUNCT
fumecheng-12829	506	1	11	11	NUM
fumecheng-12829	506	2	,	,	PUNCT
fumecheng-12829	506	3	the	the	DET
fumecheng-12829	506	4	load	load	NOUN
fumecheng-12829	506	5	required	require	VERB
fumecheng-12829	506	6	to	to	PART
fumecheng-12829	506	7	deform	deform	VERB
fumecheng-12829	506	8	a	a	DET
fumecheng-12829	506	9	metallic	metallic	ADJ
fumecheng-12829	506	10	panel	panel	NOUN
fumecheng-12829	506	11	is	be	AUX
fumecheng-12829	506	12	significantly	significantly	ADV
fumecheng-12829	506	13	lower	low	ADJ
fumecheng-12829	506	14	than	than	ADP
fumecheng-12829	506	15	that	that	PRON
fumecheng-12829	506	16	required	require	VERB
fumecheng-12829	506	17	for	for	ADP
fumecheng-12829	506	18	a	a	DET
fumecheng-12829	506	19	ceramic	ceramic	ADJ
fumecheng-12829	506	20	panel	panel	NOUN
fumecheng-12829	506	21	due	due	ADP
fumecheng-12829	506	22	to	to	ADP
fumecheng-12829	506	23	the	the	DET
fumecheng-12829	506	24	lower	low	ADJ
fumecheng-12829	506	25	rigidity	rigidity	NOUN
fumecheng-12829	506	26	of	of	ADP
fumecheng-12829	506	27	the	the	DET
fumecheng-12829	506	28	metal	metal	NOUN
fumecheng-12829	506	29	.	.	PUNCT
fumecheng-12829	507	1	fig	fig	NOUN
fumecheng-12829	507	2	.	.	PUNCT
fumecheng-12829	508	1	12	12	NUM
fumecheng-12829	508	2	load	load	NOUN
fumecheng-12829	508	3	-	-	PUNCT
fumecheng-12829	508	4	deflection	deflection	NOUN
fumecheng-12829	508	5	diagram	diagram	NOUN
fumecheng-12829	508	6	of	of	ADP
fumecheng-12829	508	7	the	the	DET
fumecheng-12829	508	8	hinged	hinge	VERB
fumecheng-12829	508	9	fgm	fgm	PROPN
fumecheng-12829	508	10	cylindrical	cylindrical	ADJ
fumecheng-12829	508	11	panel	panel	NOUN
fumecheng-12829	508	12	for	for	ADP
fumecheng-12829	508	13	various	various	ADJ
fumecheng-12829	508	14	values	value	NOUN
fumecheng-12829	508	15	of	of	ADP
fumecheng-12829	508	16	the	the	DET
fumecheng-12829	508	17	material	material	NOUN
fumecheng-12829	508	18	exponent	exponent	NOUN
fumecheng-12829	508	19	at	at	ADP
fumecheng-12829	508	20	loaded	load	VERB
fumecheng-12829	508	21	point	point	NOUN
fumecheng-12829	508	22	porosity	porosity	NOUN
fumecheng-12829	508	23	effects	effect	NOUN
fumecheng-12829	508	24	on	on	ADP
fumecheng-12829	508	25	nonlinear	nonlinear	ADJ
fumecheng-12829	508	26	static	static	ADJ
fumecheng-12829	508	27	performances	performance	NOUN
fumecheng-12829	508	28	of	of	ADP
fumecheng-12829	508	29	fg	fg	PROPN
fumecheng-12829	508	30	shells	shell	NOUN
fumecheng-12829	508	31	considering	consider	VERB
fumecheng-12829	508	32	thickness	thickness	NOUN
fumecheng-12829	508	33	stretching	stretch	VERB
fumecheng-12829	508	34	849	849	NUM
fumecheng-12829	508	35	3.5	3.5	NUM
fumecheng-12829	508	36	.	.	PUNCT
fumecheng-12829	509	1	nonlinear	nonlinear	ADJ
fumecheng-12829	509	2	behavior	behavior	NOUN
fumecheng-12829	509	3	of	of	ADP
fumecheng-12829	509	4	fgm	fgm	PROPN
fumecheng-12829	509	5	ring	ring	NOUN
fumecheng-12829	509	6	shell	shell	NOUN
fumecheng-12829	509	7	under	under	ADP
fumecheng-12829	509	8	shear	shear	NOUN
fumecheng-12829	509	9	force	force	NOUN
fumecheng-12829	509	10	at	at	ADP
fumecheng-12829	509	11	the	the	DET
fumecheng-12829	509	12	end	end	NOUN
fumecheng-12829	509	13	the	the	DET
fumecheng-12829	509	14	slit	slit	ADJ
fumecheng-12829	509	15	annular	annular	ADJ
fumecheng-12829	509	16	plate	plate	NOUN
fumecheng-12829	509	17	serves	serve	VERB
fumecheng-12829	509	18	as	as	ADP
fumecheng-12829	509	19	a	a	DET
fumecheng-12829	509	20	sensitive	sensitive	ADJ
fumecheng-12829	509	21	benchmark	benchmark	NOUN
fumecheng-12829	509	22	to	to	PART
fumecheng-12829	509	23	assess	assess	VERB
fumecheng-12829	509	24	the	the	DET
fumecheng-12829	509	25	capability	capability	NOUN
fumecheng-12829	509	26	and	and	CCONJ
fumecheng-12829	509	27	accuracy	accuracy	NOUN
fumecheng-12829	509	28	of	of	ADP
fumecheng-12829	509	29	the	the	DET
fumecheng-12829	509	30	finite	finite	ADJ
fumecheng-12829	509	31	element	element	NOUN
fumecheng-12829	509	32	formulation	formulation	NOUN
fumecheng-12829	509	33	in	in	ADP
fumecheng-12829	509	34	handling	handle	VERB
fumecheng-12829	509	35	large	large	ADJ
fumecheng-12829	509	36	deformations	deformation	NOUN
fumecheng-12829	509	37	.	.	PUNCT
fumecheng-12829	510	1	as	as	SCONJ
fumecheng-12829	510	2	illustrated	illustrate	VERB
fumecheng-12829	510	3	in	in	ADP
fumecheng-12829	510	4	fig	fig	NOUN
fumecheng-12829	510	5	.	.	PUNCT
fumecheng-12829	511	1	13	13	NUM
fumecheng-12829	511	2	(	(	PUNCT
fumecheng-12829	511	3	a	a	NOUN
fumecheng-12829	511	4	)	)	PUNCT
fumecheng-12829	511	5	,	,	PUNCT
fumecheng-12829	511	6	the	the	DET
fumecheng-12829	511	7	structure	structure	NOUN
fumecheng-12829	511	8	is	be	AUX
fumecheng-12829	511	9	subjected	subject	VERB
fumecheng-12829	511	10	to	to	ADP
fumecheng-12829	511	11	a	a	DET
fumecheng-12829	511	12	distributed	distribute	VERB
fumecheng-12829	511	13	vertical	vertical	ADJ
fumecheng-12829	511	14	shear	shear	NOUN
fumecheng-12829	511	15	force	force	NOUN
fumecheng-12829	511	16	with	with	ADP
fumecheng-12829	511	17	a	a	DET
fumecheng-12829	511	18	magnitude	magnitude	NOUN
fumecheng-12829	511	19	of	of	ADP
fumecheng-12829	511	20	q=2120	q=2120	PROPN
fumecheng-12829	511	21	n	n	CCONJ
fumecheng-12829	511	22	/	/	SYM
fumecheng-12829	511	23	m	m	NOUN
fumecheng-12829	511	24	over	over	ADP
fumecheng-12829	511	25	the	the	DET
fumecheng-12829	511	26	free	free	ADJ
fumecheng-12829	511	27	edge	edge	NOUN
fumecheng-12829	511	28	,	,	PUNCT
fumecheng-12829	511	29	while	while	SCONJ
fumecheng-12829	511	30	a	a	DET
fumecheng-12829	511	31	clamped	clamp	VERB
fumecheng-12829	511	32	boundary	boundary	ADJ
fumecheng-12829	511	33	condition	condition	NOUN
fumecheng-12829	511	34	is	be	AUX
fumecheng-12829	511	35	applied	apply	VERB
fumecheng-12829	511	36	at	at	ADP
fumecheng-12829	511	37	the	the	DET
fumecheng-12829	511	38	other	other	ADJ
fumecheng-12829	511	39	edge	edge	NOUN
fumecheng-12829	511	40	.	.	PUNCT
fumecheng-12829	512	1	the	the	DET
fumecheng-12829	512	2	geometric	geometric	ADJ
fumecheng-12829	512	3	parameters	parameter	NOUN
fumecheng-12829	512	4	of	of	ADP
fumecheng-12829	512	5	the	the	DET
fumecheng-12829	512	6	plate	plate	NOUN
fumecheng-12829	512	7	include	include	VERB
fumecheng-12829	512	8	the	the	DET
fumecheng-12829	512	9	inner	inner	ADJ
fumecheng-12829	512	10	radius	radius	NOUN
fumecheng-12829	512	11	of	of	ADP
fumecheng-12829	512	12	r	r	NOUN
fumecheng-12829	512	13	=	=	SYM
fumecheng-12829	512	14	6	6	NUM
fumecheng-12829	512	15	mm	mm	NOUN
fumecheng-12829	512	16	,	,	PUNCT
fumecheng-12829	512	17	the	the	DET
fumecheng-12829	512	18	outer	outer	ADJ
fumecheng-12829	512	19	radius	radius	NOUN
fumecheng-12829	512	20	of	of	ADP
fumecheng-12829	512	21	r	r	NOUN
fumecheng-12829	512	22	=	=	PROPN
fumecheng-12829	512	23	10	10	NUM
fumecheng-12829	512	24	m	m	NOUN
fumecheng-12829	512	25	,	,	PUNCT
fumecheng-12829	512	26	and	and	CCONJ
fumecheng-12829	512	27	the	the	DET
fumecheng-12829	512	28	thickness	thickness	NOUN
fumecheng-12829	512	29	of	of	ADP
fumecheng-12829	512	30	h	h	NOUN
fumecheng-12829	512	31	=	=	SYM
fumecheng-12829	512	32	0.03	0.03	NUM
fumecheng-12829	512	33	m.	m.	NOUN
fumecheng-12829	512	34	regarding	regard	VERB
fumecheng-12829	512	35	material	material	NOUN
fumecheng-12829	512	36	properties	property	NOUN
fumecheng-12829	512	37	,	,	PUNCT
fumecheng-12829	512	38	the	the	DET
fumecheng-12829	512	39	young	young	NOUN
fumecheng-12829	512	40	's	's	PART
fumecheng-12829	512	41	modulus	modulus	NOUN
fumecheng-12829	512	42	of	of	ADP
fumecheng-12829	512	43	the	the	DET
fumecheng-12829	512	44	metal	metal	NOUN
fumecheng-12829	512	45	and	and	CCONJ
fumecheng-12829	512	46	ceramic	ceramic	ADJ
fumecheng-12829	512	47	phases	phase	NOUN
fumecheng-12829	512	48	are	be	AUX
fumecheng-12829	512	49	𝐸𝑚=	𝐸𝑚=	ADP
fumecheng-12829	512	50	21	21	NUM
fumecheng-12829	512	51	×	×	NOUN
fumecheng-12829	512	52	103mpa	103mpa	NUM
fumecheng-12829	512	53	and	and	CCONJ
fumecheng-12829	512	54	𝐸𝑐=	𝐸𝑐=	PROPN
fumecheng-12829	512	55	38	38	NUM
fumecheng-12829	512	56	×	×	NOUN
fumecheng-12829	512	57	103	103	NUM
fumecheng-12829	512	58	mpa	mpa	NOUN
fumecheng-12829	512	59	,	,	PUNCT
fumecheng-12829	512	60	respectively	respectively	ADV
fumecheng-12829	512	61	,	,	PUNCT
fumecheng-12829	512	62	with	with	SCONJ
fumecheng-12829	512	63	a	a	DET
fumecheng-12829	512	64	poisson	poisson	NOUN
fumecheng-12829	512	65	coefficient	coefficient	NOUN
fumecheng-12829	512	66	ν	ν	PROPN
fumecheng-12829	512	67	assumed	assume	VERB
fumecheng-12829	512	68	to	to	PART
fumecheng-12829	512	69	be	be	AUX
fumecheng-12829	512	70	zero	zero	NUM
fumecheng-12829	512	71	.	.	PUNCT
fumecheng-12829	513	1	the	the	DET
fumecheng-12829	513	2	ring	ring	NOUN
fumecheng-12829	513	3	is	be	AUX
fumecheng-12829	513	4	discretized	discretize	VERB
fumecheng-12829	513	5	by	by	ADP
fumecheng-12829	513	6	8×46	8×46	NUM
fumecheng-12829	513	7	enhanced	enhance	VERB
fumecheng-12829	513	8	elements	element	NOUN
fumecheng-12829	513	9	.	.	PUNCT
fumecheng-12829	514	1	upon	upon	SCONJ
fumecheng-12829	514	2	application	application	NOUN
fumecheng-12829	514	3	of	of	ADP
fumecheng-12829	514	4	predefined	predefine	VERB
fumecheng-12829	514	5	line	line	NOUN
fumecheng-12829	514	6	load	load	NOUN
fumecheng-12829	514	7	over	over	ADP
fumecheng-12829	514	8	the	the	DET
fumecheng-12829	514	9	free	free	ADJ
fumecheng-12829	514	10	edge	edge	NOUN
fumecheng-12829	514	11	,	,	PUNCT
fumecheng-12829	514	12	the	the	DET
fumecheng-12829	514	13	initially	initially	ADV
fumecheng-12829	514	14	planar	planar	ADJ
fumecheng-12829	514	15	structure	structure	NOUN
fumecheng-12829	514	16	undergoes	undergo	VERB
fumecheng-12829	514	17	arge	arge	ADJ
fumecheng-12829	514	18	displacements	displacement	NOUN
fumecheng-12829	514	19	and	and	CCONJ
fumecheng-12829	514	20	rotations	rotation	NOUN
fumecheng-12829	514	21	,	,	PUNCT
fumecheng-12829	514	22	thus	thus	ADV
fumecheng-12829	514	23	deforming	deform	VERB
fumecheng-12829	514	24	into	into	ADP
fumecheng-12829	514	25	a	a	DET
fumecheng-12829	514	26	doubly	doubly	ADV
fumecheng-12829	514	27	crooked	crooked	ADJ
fumecheng-12829	514	28	structure	structure	NOUN
fumecheng-12829	514	29	,	,	PUNCT
fumecheng-12829	514	30	as	as	SCONJ
fumecheng-12829	514	31	depicted	depict	VERB
fumecheng-12829	514	32	in	in	ADP
fumecheng-12829	514	33	fig	fig	NOUN
fumecheng-12829	514	34	.	.	PUNCT
fumecheng-12829	515	1	13	13	NUM
fumecheng-12829	515	2	(	(	PUNCT
fumecheng-12829	515	3	b	b	NOUN
fumecheng-12829	515	4	)	)	PUNCT
fumecheng-12829	515	5	.	.	PUNCT
fumecheng-12829	516	1	a	a	DET
fumecheng-12829	516	2	)	)	PUNCT
fumecheng-12829	516	3	b	b	NOUN
fumecheng-12829	516	4	)	)	PUNCT
fumecheng-12829	516	5	fig	fig	NOUN
fumecheng-12829	516	6	.	.	PUNCT
fumecheng-12829	517	1	13	13	NUM
fumecheng-12829	517	2	geometry	geometry	NOUN
fumecheng-12829	517	3	of	of	ADP
fumecheng-12829	517	4	the	the	DET
fumecheng-12829	517	5	ring	ring	NOUN
fumecheng-12829	517	6	plate	plate	NOUN
fumecheng-12829	517	7	:	:	PUNCT
fumecheng-12829	517	8	a	a	X
fumecheng-12829	517	9	)	)	PUNCT
fumecheng-12829	517	10	undeformed	undeformed	ADJ
fumecheng-12829	517	11	shape	shape	NOUN
fumecheng-12829	517	12	;	;	PUNCT
fumecheng-12829	517	13	b	b	X
fumecheng-12829	517	14	)	)	PUNCT
fumecheng-12829	517	15	deformed	deform	VERB
fumecheng-12829	517	16	shape	shape	NOUN
fumecheng-12829	517	17	the	the	DET
fumecheng-12829	517	18	nonlinear	nonlinear	ADJ
fumecheng-12829	517	19	deflection	deflection	NOUN
fumecheng-12829	517	20	at	at	ADP
fumecheng-12829	517	21	point	point	NOUN
fumecheng-12829	517	22	a	a	PRON
fumecheng-12829	517	23	on	on	ADP
fumecheng-12829	517	24	the	the	DET
fumecheng-12829	517	25	outer	outer	ADJ
fumecheng-12829	517	26	circle	circle	NOUN
fumecheng-12829	517	27	of	of	ADP
fumecheng-12829	517	28	the	the	DET
fumecheng-12829	517	29	functionally	functionally	ADV
fumecheng-12829	517	30	graded	grade	VERB
fumecheng-12829	517	31	(	(	PUNCT
fumecheng-12829	517	32	fg	fg	NOUN
fumecheng-12829	517	33	)	)	PUNCT
fumecheng-12829	517	34	ring	ring	NOUN
fumecheng-12829	517	35	obtained	obtain	VERB
fumecheng-12829	517	36	with	with	ADP
fumecheng-12829	517	37	the	the	DET
fumecheng-12829	517	38	developed	develop	VERB
fumecheng-12829	517	39	model	model	NOUN
fumecheng-12829	517	40	is	be	AUX
fumecheng-12829	517	41	compared	compare	VERB
fumecheng-12829	517	42	to	to	ADP
fumecheng-12829	517	43	the	the	DET
fumecheng-12829	517	44	results	result	NOUN
fumecheng-12829	517	45	of	of	ADP
fumecheng-12829	517	46	the	the	DET
fumecheng-12829	517	47	models	model	NOUN
fumecheng-12829	517	48	developed	develop	VERB
fumecheng-12829	517	49	by	by	ADP
fumecheng-12829	517	50	beheshti	beheshti	NOUN
fumecheng-12829	517	51	and	and	CCONJ
fumecheng-12829	517	52	ramezani	ramezani	NOUN
fumecheng-12829	517	53	[	[	X
fumecheng-12829	517	54	21	21	NUM
fumecheng-12829	517	55	]	]	PUNCT
fumecheng-12829	517	56	.	.	PUNCT
fumecheng-12829	518	1	the	the	DET
fumecheng-12829	518	2	first	first	ADJ
fumecheng-12829	518	3	model	model	NOUN
fumecheng-12829	518	4	is	be	AUX
fumecheng-12829	518	5	a	a	DET
fumecheng-12829	518	6	displacement	displacement	NOUN
fumecheng-12829	518	7	-	-	PUNCT
fumecheng-12829	518	8	based	base	VERB
fumecheng-12829	518	9	four	four	NUM
fumecheng-12829	518	10	-	-	PUNCT
fumecheng-12829	518	11	node	node	ADJ
fumecheng-12829	518	12	model	model	NOUN
fumecheng-12829	518	13	,	,	PUNCT
fumecheng-12829	518	14	while	while	SCONJ
fumecheng-12829	518	15	the	the	DET
fumecheng-12829	518	16	second	second	ADJ
fumecheng-12829	518	17	model	model	NOUN
fumecheng-12829	518	18	is	be	AUX
fumecheng-12829	518	19	an	an	DET
fumecheng-12829	518	20	enhanced	enhanced	ADJ
fumecheng-12829	518	21	model	model	NOUN
fumecheng-12829	518	22	incorporating	incorporate	VERB
fumecheng-12829	518	23	the	the	DET
fumecheng-12829	518	24	enhanced	enhance	VERB
fumecheng-12829	518	25	assumed	assume	VERB
fumecheng-12829	518	26	strain	strain	NOUN
fumecheng-12829	518	27	formulation	formulation	NOUN
fumecheng-12829	518	28	and	and	CCONJ
fumecheng-12829	518	29	accounting	account	VERB
fumecheng-12829	518	30	for	for	ADP
fumecheng-12829	518	31	the	the	DET
fumecheng-12829	518	32	thickness	thickness	NOUN
fumecheng-12829	518	33	change	change	NOUN
fumecheng-12829	518	34	.	.	PUNCT
fumecheng-12829	519	1	fig	fig	NOUN
fumecheng-12829	519	2	.	.	PUNCT
fumecheng-12829	520	1	14	14	NUM
fumecheng-12829	520	2	displays	display	VERB
fumecheng-12829	520	3	the	the	DET
fumecheng-12829	520	4	load	load	NOUN
fumecheng-12829	520	5	–	–	PUNCT
fumecheng-12829	520	6	deflection	deflection	NOUN
fumecheng-12829	520	7	curves	curve	NOUN
fumecheng-12829	520	8	at	at	ADP
fumecheng-12829	520	9	point	point	NOUN
fumecheng-12829	520	10	a	a	DET
fumecheng-12829	520	11	fig	fig	NOUN
fumecheng-12829	520	12	.	.	PUNCT
fumecheng-12829	521	1	14	14	NUM
fumecheng-12829	521	2	load	load	NOUN
fumecheng-12829	521	3	-	-	PUNCT
fumecheng-12829	521	4	deflection	deflection	NOUN
fumecheng-12829	521	5	diagram	diagram	NOUN
fumecheng-12829	521	6	of	of	ADP
fumecheng-12829	521	7	the	the	DET
fumecheng-12829	521	8	fgm	fgm	PROPN
fumecheng-12829	521	9	ring	ring	NOUN
fumecheng-12829	521	10	shell	shell	NOUN
fumecheng-12829	521	11	for	for	ADP
fumecheng-12829	521	12	various	various	ADJ
fumecheng-12829	521	13	values	value	NOUN
fumecheng-12829	521	14	of	of	ADP
fumecheng-12829	521	15	the	the	DET
fumecheng-12829	521	16	material	material	NOUN
fumecheng-12829	521	17	exponent	exponent	NOUN
fumecheng-12829	521	18	at	at	ADP
fumecheng-12829	521	19	point	point	NOUN
fumecheng-12829	521	20	a	a	DET
fumecheng-12829	521	21	850	850	NUM
fumecheng-12829	521	22	h.	h.	NOUN
fumecheng-12829	521	23	mallek	mallek	PROPN
fumecheng-12829	521	24	,	,	PUNCT
fumecheng-12829	521	25	h.	h.	PROPN
fumecheng-12829	521	26	mellouli	mellouli	PROPN
fumecheng-12829	521	27	,	,	PUNCT
fumecheng-12829	521	28	l.	l.	PROPN
fumecheng-12829	521	29	ben	ben	PROPN
fumecheng-12829	521	30	said	say	VERB
fumecheng-12829	521	31	,	,	PUNCT
fumecheng-12829	521	32	m.	m.	PROPN
fumecheng-12829	521	33	wali	wali	PROPN
fumecheng-12829	521	34	,	,	PUNCT
fumecheng-12829	521	35	f.	f.	PROPN
fumecheng-12829	521	36	dammak	dammak	PROPN
fumecheng-12829	521	37	,	,	PUNCT
fumecheng-12829	521	38	m.	m.	NOUN
fumecheng-12829	521	39	alhadri	alhadri	ADJ
fumecheng-12829	521	40	for	for	ADP
fumecheng-12829	521	41	different	different	ADJ
fumecheng-12829	521	42	material	material	NOUN
fumecheng-12829	521	43	exponents	exponent	NOUN
fumecheng-12829	521	44	n.	n.	VERB
fumecheng-12829	521	45	it	it	PRON
fumecheng-12829	521	46	is	be	AUX
fumecheng-12829	521	47	evident	evident	ADJ
fumecheng-12829	521	48	from	from	ADP
fumecheng-12829	521	49	the	the	DET
fumecheng-12829	521	50	plotted	plot	VERB
fumecheng-12829	521	51	curves	curve	NOUN
fumecheng-12829	521	52	that	that	SCONJ
fumecheng-12829	521	53	the	the	DET
fumecheng-12829	521	54	present	present	ADJ
fumecheng-12829	521	55	nonlinear	nonlinear	ADJ
fumecheng-12829	521	56	deflection	deflection	NOUN
fumecheng-12829	521	57	of	of	ADP
fumecheng-12829	521	58	the	the	DET
fumecheng-12829	521	59	studied	studied	ADJ
fumecheng-12829	521	60	structure	structure	NOUN
fumecheng-12829	521	61	closely	closely	ADV
fumecheng-12829	521	62	aligns	align	VERB
fumecheng-12829	521	63	with	with	ADP
fumecheng-12829	521	64	the	the	DET
fumecheng-12829	521	65	results	result	NOUN
fumecheng-12829	521	66	by	by	ADP
fumecheng-12829	521	67	the	the	DET
fumecheng-12829	521	68	enhanced	enhanced	ADJ
fumecheng-12829	521	69	model	model	NOUN
fumecheng-12829	521	70	of	of	ADP
fumecheng-12829	521	71	beheshti	beheshti	NOUN
fumecheng-12829	521	72	and	and	CCONJ
fumecheng-12829	521	73	ramezani	ramezani	NOUN
fumecheng-12829	521	74	[	[	X
fumecheng-12829	521	75	21	21	NUM
fumecheng-12829	521	76	]	]	PUNCT
fumecheng-12829	521	77	,	,	PUNCT
fumecheng-12829	521	78	although	although	SCONJ
fumecheng-12829	521	79	the	the	DET
fumecheng-12829	521	80	authors	author	NOUN
fumecheng-12829	521	81	employed	employ	VERB
fumecheng-12829	521	82	a	a	DET
fumecheng-12829	521	83	completely	completely	ADV
fumecheng-12829	521	84	different	different	ADJ
fumecheng-12829	521	85	numerical	numerical	ADJ
fumecheng-12829	521	86	approach	approach	NOUN
fumecheng-12829	521	87	based	base	VERB
fumecheng-12829	521	88	on	on	ADP
fumecheng-12829	521	89	the	the	DET
fumecheng-12829	521	90	strain	strain	NOUN
fumecheng-12829	521	91	enhancements	enhancement	NOUN
fumecheng-12829	521	92	and	and	CCONJ
fumecheng-12829	521	93	thickness	thickness	NOUN
fumecheng-12829	521	94	stretch	stretch	NOUN
fumecheng-12829	521	95	.	.	PUNCT
fumecheng-12829	522	1	hence	hence	ADV
fumecheng-12829	522	2	,	,	PUNCT
fumecheng-12829	522	3	this	this	DET
fumecheng-12829	522	4	test	test	NOUN
fumecheng-12829	522	5	serves	serve	VERB
fumecheng-12829	522	6	as	as	ADP
fumecheng-12829	522	7	a	a	DET
fumecheng-12829	522	8	highly	highly	ADV
fumecheng-12829	522	9	sensitive	sensitive	ADJ
fumecheng-12829	522	10	benchmark	benchmark	NOUN
fumecheng-12829	522	11	for	for	ADP
fumecheng-12829	522	12	assessing	assess	VERB
fumecheng-12829	522	13	the	the	DET
fumecheng-12829	522	14	accuracy	accuracy	NOUN
fumecheng-12829	522	15	of	of	ADP
fumecheng-12829	522	16	finite	finite	ADJ
fumecheng-12829	522	17	rotation	rotation	NOUN
fumecheng-12829	522	18	analysis	analysis	NOUN
fumecheng-12829	522	19	.	.	PUNCT
fumecheng-12829	523	1	3.6	3.6	NUM
fumecheng-12829	523	2	.	.	PUNCT
fumecheng-12829	523	3	parametric	parametric	ADJ
fumecheng-12829	523	4	study	study	NOUN
fumecheng-12829	523	5	of	of	ADP
fumecheng-12829	523	6	a	a	DET
fumecheng-12829	523	7	porous	porous	ADJ
fumecheng-12829	523	8	semi	semi	NOUN
fumecheng-12829	523	9	-	-	NOUN
fumecheng-12829	523	10	cylinder	cylinder	NOUN
fumecheng-12829	523	11	in	in	ADP
fumecheng-12829	523	12	this	this	DET
fumecheng-12829	523	13	example	example	NOUN
fumecheng-12829	523	14	,	,	PUNCT
fumecheng-12829	523	15	a	a	DET
fumecheng-12829	523	16	semi	semi	ADJ
fumecheng-12829	523	17	-	-	ADJ
fumecheng-12829	523	18	cylindrical	cylindrical	ADJ
fumecheng-12829	523	19	shell	shell	NOUN
fumecheng-12829	523	20	structure	structure	NOUN
fumecheng-12829	523	21	(	(	PUNCT
fumecheng-12829	523	22	fig	fig	NOUN
fumecheng-12829	523	23	.	.	PUNCT
fumecheng-12829	524	1	15	15	NUM
fumecheng-12829	524	2	(	(	PUNCT
fumecheng-12829	524	3	a	a	NOUN
fumecheng-12829	524	4	)	)	PUNCT
fumecheng-12829	524	5	)	)	PUNCT
fumecheng-12829	524	6	is	be	AUX
fumecheng-12829	524	7	considered	consider	VERB
fumecheng-12829	524	8	to	to	PART
fumecheng-12829	524	9	analyze	analyze	VERB
fumecheng-12829	524	10	its	its	PRON
fumecheng-12829	524	11	large	large	ADJ
fumecheng-12829	524	12	deflection	deflection	NOUN
fumecheng-12829	524	13	response	response	NOUN
fumecheng-12829	524	14	subjected	subject	VERB
fumecheng-12829	524	15	to	to	ADP
fumecheng-12829	524	16	an	an	DET
fumecheng-12829	524	17	end	end	NOUN
fumecheng-12829	524	18	pinching	pinch	VERB
fumecheng-12829	524	19	force	force	NOUN
fumecheng-12829	524	20	at	at	ADP
fumecheng-12829	524	21	point	point	NOUN
fumecheng-12829	524	22	a	a	DET
fumecheng-12829	524	23	equal	equal	ADJ
fumecheng-12829	524	24	to	to	ADP
fumecheng-12829	524	25	f=2000	f=2000	PROPN
fumecheng-12829	524	26	.	.	PUNCT
fumecheng-12829	525	1	due	due	ADP
fumecheng-12829	525	2	to	to	ADP
fumecheng-12829	525	3	the	the	DET
fumecheng-12829	525	4	symmetry	symmetry	NOUN
fumecheng-12829	525	5	of	of	ADP
fumecheng-12829	525	6	the	the	DET
fumecheng-12829	525	7	structure	structure	NOUN
fumecheng-12829	525	8	,	,	PUNCT
fumecheng-12829	525	9	a	a	DET
fumecheng-12829	525	10	half	half	NOUN
fumecheng-12829	525	11	of	of	ADP
fumecheng-12829	525	12	the	the	DET
fumecheng-12829	525	13	cylinder	cylinder	NOUN
fumecheng-12829	525	14	is	be	AUX
fumecheng-12829	525	15	modelled	model	VERB
fumecheng-12829	525	16	using	use	VERB
fumecheng-12829	525	17	40×32	40×32	NUM
fumecheng-12829	525	18	finite	finite	ADJ
fumecheng-12829	525	19	elements	element	NOUN
fumecheng-12829	525	20	.	.	PUNCT
fumecheng-12829	526	1	the	the	DET
fumecheng-12829	526	2	geometrical	geometrical	ADJ
fumecheng-12829	526	3	characteristics	characteristic	NOUN
fumecheng-12829	526	4	of	of	ADP
fumecheng-12829	526	5	the	the	DET
fumecheng-12829	526	6	cylinder	cylinder	NOUN
fumecheng-12829	526	7	are	be	AUX
fumecheng-12829	526	8	given	give	VERB
fumecheng-12829	526	9	dimensionless	dimensionless	NOUN
fumecheng-12829	526	10	:	:	PUNCT
fumecheng-12829	526	11	length	length	PROPN
fumecheng-12829	526	12	l=3.048	l=3.048	PROPN
fumecheng-12829	526	13	,	,	PUNCT
fumecheng-12829	526	14	radius	radius	VERB
fumecheng-12829	526	15	r=1.016	r=1.016	NOUN
fumecheng-12829	526	16	and	and	CCONJ
fumecheng-12829	526	17	thickness	thickness	NOUN
fumecheng-12829	526	18	h=0.03	h=0.03	NOUN
fumecheng-12829	526	19	.	.	PUNCT
fumecheng-12829	527	1	in	in	ADP
fumecheng-12829	527	2	the	the	DET
fumecheng-12829	527	3	first	first	ADJ
fumecheng-12829	527	4	step	step	NOUN
fumecheng-12829	527	5	is	be	AUX
fumecheng-12829	527	6	to	to	PART
fumecheng-12829	527	7	validate	validate	VERB
fumecheng-12829	527	8	the	the	DET
fumecheng-12829	527	9	nonlinear	nonlinear	ADJ
fumecheng-12829	527	10	response	response	NOUN
fumecheng-12829	527	11	of	of	ADP
fumecheng-12829	527	12	the	the	DET
fumecheng-12829	527	13	isotropic	isotropic	NOUN
fumecheng-12829	527	14	semi	semi	ADJ
fumecheng-12829	527	15	-	-	NOUN
fumecheng-12829	527	16	cylinder	cylinder	NOUN
fumecheng-12829	527	17	by	by	ADP
fumecheng-12829	527	18	comparing	compare	VERB
fumecheng-12829	527	19	the	the	DET
fumecheng-12829	527	20	result	result	NOUN
fumecheng-12829	527	21	with	with	ADP
fumecheng-12829	527	22	the	the	DET
fumecheng-12829	527	23	solutions	solution	NOUN
fumecheng-12829	527	24	by	by	ADP
fumecheng-12829	527	25	mallek	mallek	NOUN
fumecheng-12829	527	26	et	et	PROPN
fumecheng-12829	527	27	al	al	PROPN
fumecheng-12829	527	28	.	.	PUNCT
fumecheng-12829	528	1	[	[	X
fumecheng-12829	528	2	2	2	NUM
fumecheng-12829	528	3	]	]	PUNCT
fumecheng-12829	528	4	.	.	PUNCT
fumecheng-12829	529	1	the	the	DET
fumecheng-12829	529	2	isotropic	isotropic	ADJ
fumecheng-12829	529	3	material	material	NOUN
fumecheng-12829	529	4	considered	consider	VERB
fumecheng-12829	529	5	for	for	ADP
fumecheng-12829	529	6	the	the	DET
fumecheng-12829	529	7	validation	validation	NOUN
fumecheng-12829	529	8	has	have	VERB
fumecheng-12829	529	9	the	the	DET
fumecheng-12829	529	10	following	follow	VERB
fumecheng-12829	529	11	material	material	NOUN
fumecheng-12829	529	12	properties	property	NOUN
fumecheng-12829	529	13	:	:	PUNCT
fumecheng-12829	529	14	young	young	ADJ
fumecheng-12829	529	15	’s	’s	PART
fumecheng-12829	529	16	modulus	modulus	ADJ
fumecheng-12829	529	17	e	e	PROPN
fumecheng-12829	529	18	=	=	PROPN
fumecheng-12829	529	19	2.068×107	2.068×107	NUM
fumecheng-12829	529	20	and	and	CCONJ
fumecheng-12829	529	21	poisson	poisson	PROPN
fumecheng-12829	529	22	’s	’s	PART
fumecheng-12829	529	23	coefficient	coefficient	PROPN
fumecheng-12829	529	24	υ=0.3	υ=0.3	PROPN
fumecheng-12829	529	25	.	.	PUNCT
fumecheng-12829	530	1	fig	fig	NOUN
fumecheng-12829	530	2	.	.	PUNCT
fumecheng-12829	531	1	16	16	NUM
fumecheng-12829	531	2	depicts	depict	VERB
fumecheng-12829	531	3	results	result	NOUN
fumecheng-12829	531	4	of	of	ADP
fumecheng-12829	531	5	large	large	ADJ
fumecheng-12829	531	6	deflections	deflection	NOUN
fumecheng-12829	531	7	at	at	ADP
fumecheng-12829	531	8	the	the	DET
fumecheng-12829	531	9	point	point	NOUN
fumecheng-12829	531	10	a	a	PRON
fumecheng-12829	531	11	of	of	ADP
fumecheng-12829	531	12	the	the	DET
fumecheng-12829	531	13	isotropic	isotropic	NOUN
fumecheng-12829	531	14	semi	semi	ADJ
fumecheng-12829	531	15	-	-	NOUN
fumecheng-12829	531	16	cylinder	cylinder	NOUN
fumecheng-12829	531	17	versus	versus	ADP
fumecheng-12829	531	18	the	the	DET
fumecheng-12829	531	19	load	load	NOUN
fumecheng-12829	531	20	parameter	parameter	NOUN
fumecheng-12829	531	21	.	.	PUNCT
fumecheng-12829	532	1	as	as	SCONJ
fumecheng-12829	532	2	may	may	AUX
fumecheng-12829	532	3	be	be	AUX
fumecheng-12829	532	4	seen	see	VERB
fumecheng-12829	532	5	in	in	ADP
fumecheng-12829	532	6	this	this	DET
fumecheng-12829	532	7	figure	figure	NOUN
fumecheng-12829	532	8	,	,	PUNCT
fumecheng-12829	532	9	a	a	DET
fumecheng-12829	532	10	good	good	ADJ
fumecheng-12829	532	11	accuracy	accuracy	NOUN
fumecheng-12829	532	12	is	be	AUX
fumecheng-12829	532	13	associated	associate	VERB
fumecheng-12829	532	14	for	for	ADP
fumecheng-12829	532	15	the	the	DET
fumecheng-12829	532	16	present	present	ADJ
fumecheng-12829	532	17	model	model	NOUN
fumecheng-12829	532	18	where	where	SCONJ
fumecheng-12829	532	19	present	present	ADJ
fumecheng-12829	532	20	results	result	NOUN
fumecheng-12829	532	21	coincide	coincide	VERB
fumecheng-12829	532	22	with	with	ADP
fumecheng-12829	532	23	the	the	DET
fumecheng-12829	532	24	referenced	reference	VERB
fumecheng-12829	532	25	solutions	solution	NOUN
fumecheng-12829	532	26	.	.	PUNCT
fumecheng-12829	533	1	a	a	DET
fumecheng-12829	533	2	)	)	PUNCT
fumecheng-12829	533	3	b	b	NOUN
fumecheng-12829	533	4	)	)	PUNCT
fumecheng-12829	533	5	fig	fig	NOUN
fumecheng-12829	533	6	.	.	PUNCT
fumecheng-12829	534	1	15	15	NUM
fumecheng-12829	534	2	(	(	PUNCT
fumecheng-12829	534	3	a	a	X
fumecheng-12829	534	4	)	)	PUNCT
fumecheng-12829	534	5	undeformed	undeformed	ADJ
fumecheng-12829	534	6	and	and	CCONJ
fumecheng-12829	534	7	(	(	PUNCT
fumecheng-12829	534	8	b	b	NOUN
fumecheng-12829	534	9	)	)	PUNCT
fumecheng-12829	534	10	deformed	deform	VERB
fumecheng-12829	534	11	shapes	shape	NOUN
fumecheng-12829	534	12	of	of	ADP
fumecheng-12829	534	13	the	the	DET
fumecheng-12829	534	14	porous	porous	ADJ
fumecheng-12829	534	15	fgm	fgm	PROPN
fumecheng-12829	534	16	semi	semi	NOUN
fumecheng-12829	534	17	-	-	NOUN
fumecheng-12829	534	18	cylinder	cylinder	NOUN
fumecheng-12829	534	19	once	once	SCONJ
fumecheng-12829	534	20	the	the	DET
fumecheng-12829	534	21	nonlinear	nonlinear	ADJ
fumecheng-12829	534	22	response	response	NOUN
fumecheng-12829	534	23	of	of	ADP
fumecheng-12829	534	24	the	the	DET
fumecheng-12829	534	25	isotropic	isotropic	NOUN
fumecheng-12829	534	26	semi	semi	ADJ
fumecheng-12829	534	27	-	-	NOUN
fumecheng-12829	534	28	cylinder	cylinder	NOUN
fumecheng-12829	534	29	is	be	AUX
fumecheng-12829	534	30	validated	validate	VERB
fumecheng-12829	534	31	,	,	PUNCT
fumecheng-12829	534	32	the	the	DET
fumecheng-12829	534	33	subsequent	subsequent	ADJ
fumecheng-12829	534	34	phase	phase	NOUN
fumecheng-12829	534	35	involves	involve	VERB
fumecheng-12829	534	36	applying	apply	VERB
fumecheng-12829	534	37	porous	porous	ADJ
fumecheng-12829	534	38	functionally	functionally	ADV
fumecheng-12829	534	39	graded	grade	VERB
fumecheng-12829	534	40	material	material	NOUN
fumecheng-12829	534	41	(	(	PUNCT
fumecheng-12829	534	42	fgm	fgm	PROPN
fumecheng-12829	534	43	)	)	PUNCT
fumecheng-12829	534	44	to	to	ADP
fumecheng-12829	534	45	the	the	DET
fumecheng-12829	534	46	analyzed	analyze	VERB
fumecheng-12829	534	47	structure	structure	NOUN
fumecheng-12829	534	48	.	.	PUNCT
fumecheng-12829	535	1	this	this	DET
fumecheng-12829	535	2	fgm	fgm	PROPN
fumecheng-12829	535	3	comprises	comprise	VERB
fumecheng-12829	535	4	a	a	DET
fumecheng-12829	535	5	blend	blend	NOUN
fumecheng-12829	535	6	of	of	ADP
fumecheng-12829	535	7	two	two	NUM
fumecheng-12829	535	8	materials	material	NOUN
fumecheng-12829	535	9	characterized	characterize	VERB
fumecheng-12829	535	10	by	by	ADP
fumecheng-12829	535	11	mechanical	mechanical	ADJ
fumecheng-12829	535	12	properties	property	NOUN
fumecheng-12829	535	13	,	,	PUNCT
fumecheng-12829	535	14	𝐸𝑚=	𝐸𝑚=	PROPN
fumecheng-12829	535	15	21	21	NUM
fumecheng-12829	535	16	×	×	NOUN
fumecheng-12829	535	17	109	109	NUM
fumecheng-12829	535	18	pa	pa	PROPN
fumecheng-12829	535	19	,	,	PUNCT
fumecheng-12829	535	20	𝜐𝑚=0.3	𝜐𝑚=0.3	X
fumecheng-12829	535	21	and	and	CCONJ
fumecheng-12829	535	22	𝐸𝑐=	𝐸𝑐=	PROPN
fumecheng-12829	535	23	38	38	NUM
fumecheng-12829	535	24	×	×	NOUN
fumecheng-12829	535	25	109	109	NUM
fumecheng-12829	535	26	pa	pa	PROPN
fumecheng-12829	535	27	,	,	PUNCT
fumecheng-12829	535	28	𝜐𝑐=0.3	𝜐𝑐=0.3	PROPN
fumecheng-12829	535	29	.	.	PUNCT
fumecheng-12829	536	1	fig	fig	NOUN
fumecheng-12829	536	2	.	.	PUNCT
fumecheng-12829	537	1	17	17	NUM
fumecheng-12829	537	2	illustrates	illustrate	VERB
fumecheng-12829	537	3	deflection	deflection	NOUN
fumecheng-12829	537	4	outcomes	outcome	NOUN
fumecheng-12829	537	5	at	at	ADP
fumecheng-12829	537	6	point	point	NOUN
fumecheng-12829	537	7	a	a	PRON
fumecheng-12829	537	8	of	of	ADP
fumecheng-12829	537	9	the	the	DET
fumecheng-12829	537	10	porous	porous	ADJ
fumecheng-12829	537	11	semi	semi	ADJ
fumecheng-12829	537	12	-	-	NOUN
fumecheng-12829	537	13	cylinder	cylinder	NOUN
fumecheng-12829	537	14	,	,	PUNCT
fumecheng-12829	537	15	considering	consider	VERB
fumecheng-12829	537	16	an	an	DET
fumecheng-12829	537	17	fgm	fgm	PROPN
fumecheng-12829	537	18	material	material	NOUN
fumecheng-12829	537	19	exponent	exponent	NOUN
fumecheng-12829	537	20	(	(	PUNCT
fumecheng-12829	537	21	n=0.1	n=0.1	PROPN
fumecheng-12829	537	22	)	)	PUNCT
fumecheng-12829	537	23	for	for	ADP
fumecheng-12829	537	24	various	various	ADJ
fumecheng-12829	537	25	porosity	porosity	NOUN
fumecheng-12829	537	26	distributions	distribution	NOUN
fumecheng-12829	537	27	:	:	PUNCT
fumecheng-12829	537	28	perfect	perfect	ADJ
fumecheng-12829	537	29	,	,	PUNCT
fumecheng-12829	537	30	even	even	ADV
fumecheng-12829	537	31	,	,	PUNCT
fumecheng-12829	537	32	and	and	CCONJ
fumecheng-12829	537	33	uneven	uneven	ADJ
fumecheng-12829	537	34	configurations	configuration	NOUN
fumecheng-12829	537	35	.	.	PUNCT
fumecheng-12829	538	1	this	this	DET
fumecheng-12829	538	2	figure	figure	NOUN
fumecheng-12829	538	3	demonstrates	demonstrate	VERB
fumecheng-12829	538	4	that	that	SCONJ
fumecheng-12829	538	5	the	the	DET
fumecheng-12829	538	6	increasing	increase	VERB
fumecheng-12829	538	7	porosity	porosity	NOUN
fumecheng-12829	538	8	volume	volume	NOUN
fumecheng-12829	538	9	fraction	fraction	NOUN
fumecheng-12829	538	10	α	α	PROPN
fumecheng-12829	538	11	results	result	VERB
fumecheng-12829	538	12	in	in	ADP
fumecheng-12829	538	13	significant	significant	ADJ
fumecheng-12829	538	14	deflections	deflection	NOUN
fumecheng-12829	538	15	of	of	ADP
fumecheng-12829	538	16	the	the	DET
fumecheng-12829	538	17	semi	semi	NOUN
fumecheng-12829	538	18	-	-	NOUN
fumecheng-12829	538	19	cylinder	cylinder	NOUN
fumecheng-12829	538	20	for	for	ADP
fumecheng-12829	538	21	both	both	DET
fumecheng-12829	538	22	even	even	ADJ
fumecheng-12829	538	23	and	and	CCONJ
fumecheng-12829	538	24	uneven	uneven	ADJ
fumecheng-12829	538	25	configurations	configuration	NOUN
fumecheng-12829	538	26	.	.	PUNCT
fumecheng-12829	539	1	this	this	PRON
fumecheng-12829	539	2	is	be	AUX
fumecheng-12829	539	3	due	due	ADJ
fumecheng-12829	539	4	to	to	ADP
fumecheng-12829	539	5	the	the	DET
fumecheng-12829	539	6	reduced	reduced	ADJ
fumecheng-12829	539	7	bending	bend	VERB
fumecheng-12829	539	8	stiffness	stiffness	NOUN
fumecheng-12829	539	9	caused	cause	VERB
fumecheng-12829	539	10	by	by	ADP
fumecheng-12829	539	11	a	a	DET
fumecheng-12829	539	12	higher	high	ADJ
fumecheng-12829	539	13	density	density	NOUN
fumecheng-12829	539	14	of	of	ADP
fumecheng-12829	539	15	pores	pore	NOUN
fumecheng-12829	539	16	within	within	ADP
fumecheng-12829	539	17	the	the	DET
fumecheng-12829	539	18	structure	structure	NOUN
fumecheng-12829	539	19	.	.	PUNCT
fumecheng-12829	540	1	moreover	moreover	ADV
fumecheng-12829	540	2	,	,	PUNCT
fumecheng-12829	540	3	the	the	DET
fumecheng-12829	540	4	even	even	ADJ
fumecheng-12829	540	5	distribution	distribution	NOUN
fumecheng-12829	540	6	of	of	ADP
fumecheng-12829	540	7	porosity	porosity	NOUN
fumecheng-12829	540	8	exhibits	exhibit	VERB
fumecheng-12829	540	9	greater	great	ADJ
fumecheng-12829	540	10	deflections	deflection	NOUN
fumecheng-12829	540	11	compared	compare	VERB
fumecheng-12829	540	12	to	to	ADP
fumecheng-12829	540	13	other	other	ADJ
fumecheng-12829	540	14	configurations	configuration	NOUN
fumecheng-12829	540	15	with	with	ADP
fumecheng-12829	540	16	the	the	DET
fumecheng-12829	540	17	same	same	ADJ
fumecheng-12829	540	18	porosity	porosity	NOUN
fumecheng-12829	540	19	volume	volume	NOUN
fumecheng-12829	540	20	fraction	fraction	NOUN
fumecheng-12829	540	21	,	,	PUNCT
fumecheng-12829	540	22	especially	especially	ADV
fumecheng-12829	540	23	at	at	ADP
fumecheng-12829	540	24	higher	high	ADJ
fumecheng-12829	540	25	values	value	NOUN
fumecheng-12829	540	26	of	of	ADP
fumecheng-12829	540	27	α	α	NOUN
fumecheng-12829	540	28	due	due	ADP
fumecheng-12829	540	29	to	to	ADP
fumecheng-12829	540	30	its	its	PRON
fumecheng-12829	540	31	impact	impact	NOUN
fumecheng-12829	540	32	on	on	ADP
fumecheng-12829	540	33	the	the	DET
fumecheng-12829	540	34	bending	bend	VERB
fumecheng-12829	540	35	stiffness	stiffness	NOUN
fumecheng-12829	540	36	of	of	ADP
fumecheng-12829	540	37	the	the	DET
fumecheng-12829	540	38	structure	structure	NOUN
fumecheng-12829	540	39	.	.	PUNCT
fumecheng-12829	541	1	in	in	ADP
fumecheng-12829	541	2	an	an	DET
fumecheng-12829	541	3	even	even	ADJ
fumecheng-12829	541	4	distribution	distribution	NOUN
fumecheng-12829	541	5	,	,	PUNCT
fumecheng-12829	541	6	pores	pore	NOUN
fumecheng-12829	541	7	are	be	AUX
fumecheng-12829	541	8	uniformly	uniformly	ADV
fumecheng-12829	541	9	spread	spread	VERB
fumecheng-12829	541	10	throughout	throughout	ADP
fumecheng-12829	541	11	the	the	DET
fumecheng-12829	541	12	material	material	NOUN
fumecheng-12829	541	13	,	,	PUNCT
fumecheng-12829	541	14	affecting	affect	VERB
fumecheng-12829	541	15	its	its	PRON
fumecheng-12829	541	16	mechanical	mechanical	ADJ
fumecheng-12829	541	17	properties	property	NOUN
fumecheng-12829	541	18	consistently	consistently	ADV
fumecheng-12829	541	19	across	across	ADP
fumecheng-12829	541	20	its	its	PRON
fumecheng-12829	541	21	volume	volume	NOUN
fumecheng-12829	541	22	.	.	PUNCT
fumecheng-12829	542	1	this	this	DET
fumecheng-12829	542	2	results	result	VERB
fumecheng-12829	542	3	in	in	ADP
fumecheng-12829	542	4	a	a	DET
fumecheng-12829	542	5	more	more	ADV
fumecheng-12829	542	6	pronounced	pronounced	ADJ
fumecheng-12829	542	7	reduction	reduction	NOUN
fumecheng-12829	542	8	in	in	ADP
fumecheng-12829	542	9	bending	bend	VERB
fumecheng-12829	542	10	stiffness	stiffness	NOUN
fumecheng-12829	542	11	compared	compare	VERB
fumecheng-12829	542	12	to	to	ADP
fumecheng-12829	542	13	uneven	uneven	ADJ
fumecheng-12829	542	14	distributions	distribution	NOUN
fumecheng-12829	542	15	where	where	SCONJ
fumecheng-12829	542	16	pores	pore	NOUN
fumecheng-12829	542	17	may	may	AUX
fumecheng-12829	542	18	cluster	cluster	VERB
fumecheng-12829	542	19	or	or	CCONJ
fumecheng-12829	542	20	be	be	AUX
fumecheng-12829	542	21	concentrated	concentrate	VERB
fumecheng-12829	542	22	in	in	ADP
fumecheng-12829	542	23	specific	specific	ADJ
fumecheng-12829	542	24	areas	area	NOUN
fumecheng-12829	542	25	.	.	PUNCT
fumecheng-12829	543	1	when	when	SCONJ
fumecheng-12829	543	2	the	the	DET
fumecheng-12829	543	3	porosity	porosity	NOUN
fumecheng-12829	543	4	porosity	porosity	NOUN
fumecheng-12829	543	5	effects	effect	NOUN
fumecheng-12829	543	6	on	on	ADP
fumecheng-12829	543	7	nonlinear	nonlinear	ADJ
fumecheng-12829	543	8	static	static	ADJ
fumecheng-12829	543	9	performances	performance	NOUN
fumecheng-12829	543	10	of	of	ADP
fumecheng-12829	543	11	fg	fg	PROPN
fumecheng-12829	543	12	shells	shell	NOUN
fumecheng-12829	543	13	considering	consider	VERB
fumecheng-12829	543	14	thickness	thickness	NOUN
fumecheng-12829	543	15	stretching	stretch	VERB
fumecheng-12829	543	16	851	851	NUM
fumecheng-12829	543	17	is	be	AUX
fumecheng-12829	543	18	evenly	evenly	ADV
fumecheng-12829	543	19	distributed	distribute	VERB
fumecheng-12829	543	20	,	,	PUNCT
fumecheng-12829	543	21	a	a	DET
fumecheng-12829	543	22	larger	large	ADJ
fumecheng-12829	543	23	portion	portion	NOUN
fumecheng-12829	543	24	of	of	ADP
fumecheng-12829	543	25	the	the	DET
fumecheng-12829	543	26	material	material	NOUN
fumecheng-12829	543	27	experiences	experience	VERB
fumecheng-12829	543	28	a	a	DET
fumecheng-12829	543	29	reduction	reduction	NOUN
fumecheng-12829	543	30	in	in	ADP
fumecheng-12829	543	31	stiffness	stiffness	NOUN
fumecheng-12829	543	32	,	,	PUNCT
fumecheng-12829	543	33	leading	lead	VERB
fumecheng-12829	543	34	to	to	ADP
fumecheng-12829	543	35	more	more	ADV
fumecheng-12829	543	36	significant	significant	ADJ
fumecheng-12829	543	37	deformations	deformation	NOUN
fumecheng-12829	543	38	under	under	ADP
fumecheng-12829	543	39	loading	loading	NOUN
fumecheng-12829	543	40	conditions	condition	NOUN
fumecheng-12829	543	41	.	.	PUNCT
fumecheng-12829	544	1	essentially	essentially	ADV
fumecheng-12829	544	2	,	,	PUNCT
fumecheng-12829	544	3	the	the	DET
fumecheng-12829	544	4	even	even	ADJ
fumecheng-12829	544	5	distribution	distribution	NOUN
fumecheng-12829	544	6	creates	create	VERB
fumecheng-12829	544	7	more	more	ADV
fumecheng-12829	544	8	consistent	consistent	ADJ
fumecheng-12829	544	9	reduction	reduction	NOUN
fumecheng-12829	544	10	of	of	ADP
fumecheng-12829	544	11	the	the	DET
fumecheng-12829	544	12	structure	structure	NOUN
fumecheng-12829	544	13	's	's	PART
fumecheng-12829	544	14	bending	bend	VERB
fumecheng-12829	544	15	stiffness	stiffness	NOUN
fumecheng-12829	544	16	,	,	PUNCT
fumecheng-12829	544	17	allowing	allow	VERB
fumecheng-12829	544	18	for	for	ADP
fumecheng-12829	544	19	greater	great	ADJ
fumecheng-12829	544	20	overall	overall	ADJ
fumecheng-12829	544	21	deflections	deflection	NOUN
fumecheng-12829	544	22	.	.	PUNCT
fumecheng-12829	545	1	conversely	conversely	ADV
fumecheng-12829	545	2	,	,	PUNCT
fumecheng-12829	545	3	in	in	ADP
fumecheng-12829	545	4	uneven	uneven	ADJ
fumecheng-12829	545	5	distributions	distribution	NOUN
fumecheng-12829	545	6	,	,	PUNCT
fumecheng-12829	545	7	the	the	DET
fumecheng-12829	545	8	concentration	concentration	NOUN
fumecheng-12829	545	9	of	of	ADP
fumecheng-12829	545	10	pores	pore	NOUN
fumecheng-12829	545	11	in	in	ADP
fumecheng-12829	545	12	certain	certain	ADJ
fumecheng-12829	545	13	regions	region	NOUN
fumecheng-12829	545	14	may	may	AUX
fumecheng-12829	545	15	lead	lead	VERB
fumecheng-12829	545	16	to	to	ADP
fumecheng-12829	545	17	localized	localized	ADJ
fumecheng-12829	545	18	reduction	reduction	NOUN
fumecheng-12829	545	19	in	in	ADP
fumecheng-12829	545	20	stiffness	stiffness	NOUN
fumecheng-12829	545	21	,	,	PUNCT
fumecheng-12829	545	22	but	but	CCONJ
fumecheng-12829	545	23	other	other	ADJ
fumecheng-12829	545	24	areas	area	NOUN
fumecheng-12829	545	25	may	may	AUX
fumecheng-12829	545	26	remain	remain	VERB
fumecheng-12829	545	27	relatively	relatively	ADV
fumecheng-12829	545	28	unaffected	unaffected	ADJ
fumecheng-12829	545	29	.	.	PUNCT
fumecheng-12829	546	1	this	this	PRON
fumecheng-12829	546	2	can	can	AUX
fumecheng-12829	546	3	result	result	VERB
fumecheng-12829	546	4	in	in	ADP
fumecheng-12829	546	5	a	a	DET
fumecheng-12829	546	6	less	less	ADV
fumecheng-12829	546	7	uniform	uniform	ADJ
fumecheng-12829	546	8	reduction	reduction	NOUN
fumecheng-12829	546	9	in	in	ADP
fumecheng-12829	546	10	bending	bend	VERB
fumecheng-12829	546	11	stiffness	stiffness	NOUN
fumecheng-12829	546	12	throughout	throughout	ADP
fumecheng-12829	546	13	the	the	DET
fumecheng-12829	546	14	structure	structure	NOUN
fumecheng-12829	546	15	,	,	PUNCT
fumecheng-12829	546	16	leading	lead	VERB
fumecheng-12829	546	17	to	to	ADP
fumecheng-12829	546	18	comparatively	comparatively	ADV
fumecheng-12829	546	19	lower	low	ADJ
fumecheng-12829	546	20	deflections	deflection	NOUN
fumecheng-12829	546	21	than	than	ADP
fumecheng-12829	546	22	those	those	PRON
fumecheng-12829	546	23	observed	observe	VERB
fumecheng-12829	546	24	with	with	ADP
fumecheng-12829	546	25	even	even	ADV
fumecheng-12829	546	26	distributions	distribution	NOUN
fumecheng-12829	546	27	for	for	ADP
fumecheng-12829	546	28	the	the	DET
fumecheng-12829	546	29	same	same	ADJ
fumecheng-12829	546	30	overall	overall	ADJ
fumecheng-12829	546	31	porosity	porosity	NOUN
fumecheng-12829	546	32	volume	volume	NOUN
fumecheng-12829	546	33	fraction	fraction	NOUN
fumecheng-12829	546	34	.	.	PUNCT
fumecheng-12829	547	1	fig	fig	NOUN
fumecheng-12829	547	2	.	.	PUNCT
fumecheng-12829	548	1	16	16	NUM
fumecheng-12829	548	2	load	load	NOUN
fumecheng-12829	548	3	-	-	PUNCT
fumecheng-12829	548	4	deflection	deflection	NOUN
fumecheng-12829	548	5	diagram	diagram	NOUN
fumecheng-12829	548	6	of	of	ADP
fumecheng-12829	548	7	the	the	DET
fumecheng-12829	548	8	isotropic	isotropic	NOUN
fumecheng-12829	548	9	semi	semi	ADJ
fumecheng-12829	548	10	-	-	NOUN
fumecheng-12829	548	11	cylinder	cylinder	NOUN
fumecheng-12829	548	12	at	at	ADP
fumecheng-12829	548	13	point	point	NOUN
fumecheng-12829	548	14	a	a	PRON
fumecheng-12829	548	15	furthermore	furthermore	ADV
fumecheng-12829	548	16	,	,	PUNCT
fumecheng-12829	548	17	the	the	DET
fumecheng-12829	548	18	influence	influence	NOUN
fumecheng-12829	548	19	of	of	ADP
fumecheng-12829	548	20	the	the	DET
fumecheng-12829	548	21	fgm	fgm	PROPN
fumecheng-12829	548	22	material	material	NOUN
fumecheng-12829	548	23	exponent	exponent	NOUN
fumecheng-12829	548	24	n	n	CCONJ
fumecheng-12829	548	25	on	on	ADP
fumecheng-12829	548	26	the	the	DET
fumecheng-12829	548	27	large	large	ADJ
fumecheng-12829	548	28	deflection	deflection	NOUN
fumecheng-12829	548	29	response	response	NOUN
fumecheng-12829	548	30	at	at	ADP
fumecheng-12829	548	31	point	point	NOUN
fumecheng-12829	548	32	a	a	PRON
fumecheng-12829	548	33	,	,	PUNCT
fumecheng-12829	548	34	considering	consider	VERB
fumecheng-12829	548	35	the	the	DET
fumecheng-12829	548	36	porosity	porosity	NOUN
fumecheng-12829	548	37	volume	volume	NOUN
fumecheng-12829	548	38	fraction	fraction	NOUN
fumecheng-12829	548	39	α	α	NOUN
fumecheng-12829	548	40	,	,	PUNCT
fumecheng-12829	548	41	is	be	AUX
fumecheng-12829	548	42	highlighted	highlight	VERB
fumecheng-12829	548	43	in	in	ADP
fumecheng-12829	548	44	fig	fig	NOUN
fumecheng-12829	548	45	.	.	PUNCT
fumecheng-12829	549	1	18	18	NUM
fumecheng-12829	549	2	for	for	ADP
fumecheng-12829	549	3	even	even	ADV
fumecheng-12829	549	4	and	and	CCONJ
fumecheng-12829	549	5	uneven	uneven	ADJ
fumecheng-12829	549	6	configurations	configuration	NOUN
fumecheng-12829	549	7	of	of	ADP
fumecheng-12829	549	8	pores	pore	NOUN
fumecheng-12829	549	9	.	.	PUNCT
fumecheng-12829	550	1	this	this	DET
fumecheng-12829	550	2	figure	figure	NOUN
fumecheng-12829	550	3	indicates	indicate	VERB
fumecheng-12829	550	4	that	that	SCONJ
fumecheng-12829	550	5	the	the	DET
fumecheng-12829	550	6	increasing	increase	VERB
fumecheng-12829	550	7	fgm	fgm	PROPN
fumecheng-12829	550	8	material	material	NOUN
fumecheng-12829	550	9	exponent	exponent	NOUN
fumecheng-12829	550	10	n	n	PRON
fumecheng-12829	550	11	leads	lead	VERB
fumecheng-12829	550	12	to	to	ADP
fumecheng-12829	550	13	higher	high	ADJ
fumecheng-12829	550	14	deflections	deflection	NOUN
fumecheng-12829	550	15	due	due	ADP
fumecheng-12829	550	16	to	to	ADP
fumecheng-12829	550	17	a	a	DET
fumecheng-12829	550	18	decrease	decrease	NOUN
fumecheng-12829	550	19	in	in	ADP
fumecheng-12829	550	20	bending	bend	VERB
fumecheng-12829	550	21	stiffness	stiffness	NOUN
fumecheng-12829	550	22	resulting	result	VERB
fumecheng-12829	550	23	from	from	ADP
fumecheng-12829	550	24	a	a	DET
fumecheng-12829	550	25	greater	great	ADJ
fumecheng-12829	550	26	proportion	proportion	NOUN
fumecheng-12829	550	27	of	of	ADP
fumecheng-12829	550	28	the	the	DET
fumecheng-12829	550	29	metal	metal	NOUN
fumecheng-12829	550	30	phase	phase	NOUN
fumecheng-12829	550	31	in	in	ADP
fumecheng-12829	550	32	the	the	DET
fumecheng-12829	550	33	structure	structure	NOUN
fumecheng-12829	550	34	.	.	PUNCT
fumecheng-12829	551	1	additionally	additionally	ADV
fumecheng-12829	551	2	,	,	PUNCT
fumecheng-12829	551	3	fig	fig	NOUN
fumecheng-12829	551	4	.	.	PUNCT
fumecheng-12829	552	1	19	19	NUM
fumecheng-12829	552	2	depicts	depict	VERB
fumecheng-12829	552	3	the	the	DET
fumecheng-12829	552	4	impact	impact	NOUN
fumecheng-12829	552	5	of	of	ADP
fumecheng-12829	552	6	the	the	DET
fumecheng-12829	552	7	ratio	ratio	NOUN
fumecheng-12829	552	8	r	r	PROPN
fumecheng-12829	552	9	/	/	SYM
fumecheng-12829	552	10	h	h	NOUN
fumecheng-12829	552	11	on	on	ADP
fumecheng-12829	552	12	the	the	DET
fumecheng-12829	552	13	nonlinear	nonlinear	ADJ
fumecheng-12829	552	14	bending	bend	VERB
fumecheng-12829	552	15	response	response	NOUN
fumecheng-12829	552	16	at	at	ADP
fumecheng-12829	552	17	point	point	NOUN
fumecheng-12829	552	18	a	a	PRON
fumecheng-12829	552	19	of	of	ADP
fumecheng-12829	552	20	the	the	DET
fumecheng-12829	552	21	cylindrical	cylindrical	ADJ
fumecheng-12829	552	22	structure	structure	NOUN
fumecheng-12829	552	23	,	,	PUNCT
fumecheng-12829	552	24	considering	consider	VERB
fumecheng-12829	552	25	the	the	DET
fumecheng-12829	552	26	fgm	fgm	PROPN
fumecheng-12829	552	27	material	material	NOUN
fumecheng-12829	552	28	exponent	exponent	NOUN
fumecheng-12829	552	29	(	(	PUNCT
fumecheng-12829	552	30	n=0.1	n=0.1	PROPN
fumecheng-12829	552	31	)	)	PUNCT
fumecheng-12829	552	32	for	for	ADP
fumecheng-12829	552	33	various	various	ADJ
fumecheng-12829	552	34	pore	pore	ADJ
fumecheng-12829	552	35	configurations	configuration	NOUN
fumecheng-12829	552	36	.	.	PUNCT
fumecheng-12829	553	1	high	high	ADJ
fumecheng-12829	553	2	values	value	NOUN
fumecheng-12829	553	3	of	of	ADP
fumecheng-12829	553	4	the	the	DET
fumecheng-12829	553	5	ratio	ratio	NOUN
fumecheng-12829	553	6	r	r	PROPN
fumecheng-12829	553	7	/	/	SYM
fumecheng-12829	553	8	h	h	NOUN
fumecheng-12829	553	9	correspond	correspond	VERB
fumecheng-12829	553	10	to	to	ADP
fumecheng-12829	553	11	increased	increase	VERB
fumecheng-12829	553	12	deflection	deflection	NOUN
fumecheng-12829	553	13	of	of	ADP
fumecheng-12829	553	14	the	the	DET
fumecheng-12829	553	15	porous	porous	ADJ
fumecheng-12829	553	16	semi	semi	NOUN
fumecheng-12829	553	17	-	-	NOUN
fumecheng-12829	553	18	cylinder	cylinder	NOUN
fumecheng-12829	553	19	.	.	PUNCT
fumecheng-12829	554	1	this	this	PRON
fumecheng-12829	554	2	is	be	AUX
fumecheng-12829	554	3	expected	expect	VERB
fumecheng-12829	554	4	from	from	ADP
fumecheng-12829	554	5	the	the	DET
fumecheng-12829	554	6	geometric	geometric	ADJ
fumecheng-12829	554	7	influence	influence	NOUN
fumecheng-12829	554	8	,	,	PUNCT
fumecheng-12829	554	9	flexibility	flexibility	NOUN
fumecheng-12829	554	10	,	,	PUNCT
fumecheng-12829	554	11	and	and	CCONJ
fumecheng-12829	554	12	reduced	reduce	VERB
fumecheng-12829	554	13	bending	bend	VERB
fumecheng-12829	554	14	stiffness	stiffness	NOUN
fumecheng-12829	554	15	associated	associate	VERB
fumecheng-12829	554	16	with	with	ADP
fumecheng-12829	554	17	the	the	DET
fumecheng-12829	554	18	higher	high	ADJ
fumecheng-12829	554	19	r	r	NOUN
fumecheng-12829	554	20	/	/	SYM
fumecheng-12829	554	21	h	h	NOUN
fumecheng-12829	554	22	ratios	ratio	NOUN
fumecheng-12829	554	23	.	.	PUNCT
fumecheng-12829	555	1	with	with	ADP
fumecheng-12829	555	2	a	a	DET
fumecheng-12829	555	3	larger	large	ADJ
fumecheng-12829	555	4	radius	radius	NOUN
fumecheng-12829	555	5	relative	relative	ADJ
fumecheng-12829	555	6	to	to	ADP
fumecheng-12829	555	7	thickness	thickness	NOUN
fumecheng-12829	555	8	,	,	PUNCT
fumecheng-12829	555	9	the	the	DET
fumecheng-12829	555	10	shell	shell	NOUN
fumecheng-12829	555	11	becomes	become	VERB
fumecheng-12829	555	12	geometrically	geometrically	ADV
fumecheng-12829	555	13	less	less	ADV
fumecheng-12829	555	14	stiff	stiff	ADJ
fumecheng-12829	555	15	,	,	PUNCT
fumecheng-12829	555	16	allowing	allow	VERB
fumecheng-12829	555	17	for	for	ADP
fumecheng-12829	555	18	greater	great	ADJ
fumecheng-12829	555	19	deformation	deformation	NOUN
fumecheng-12829	555	20	under	under	ADP
fumecheng-12829	555	21	applied	apply	VERB
fumecheng-12829	555	22	loads	load	NOUN
fumecheng-12829	555	23	.	.	PUNCT
fumecheng-12829	556	1	additionally	additionally	ADV
fumecheng-12829	556	2	,	,	PUNCT
fumecheng-12829	556	3	the	the	DET
fumecheng-12829	556	4	thinner	thin	ADJ
fumecheng-12829	556	5	profile	profile	NOUN
fumecheng-12829	556	6	in	in	ADP
fumecheng-12829	556	7	relation	relation	NOUN
fumecheng-12829	556	8	to	to	ADP
fumecheng-12829	556	9	the	the	DET
fumecheng-12829	556	10	curvature	curvature	NOUN
fumecheng-12829	556	11	enhances	enhance	VERB
fumecheng-12829	556	12	flexibility	flexibility	NOUN
fumecheng-12829	556	13	,	,	PUNCT
fumecheng-12829	556	14	thus	thus	ADV
fumecheng-12829	556	15	making	make	VERB
fumecheng-12829	556	16	the	the	DET
fumecheng-12829	556	17	structure	structure	NOUN
fumecheng-12829	556	18	more	more	ADV
fumecheng-12829	556	19	susceptible	susceptible	ADJ
fumecheng-12829	556	20	to	to	ADP
fumecheng-12829	556	21	bending	bend	VERB
fumecheng-12829	556	22	.	.	PUNCT
fumecheng-12829	557	1	consequently	consequently	ADV
fumecheng-12829	557	2	,	,	PUNCT
fumecheng-12829	557	3	the	the	DET
fumecheng-12829	557	4	shell	shell	NOUN
fumecheng-12829	557	5	experiences	experience	NOUN
fumecheng-12829	557	6	reduced	reduce	VERB
fumecheng-12829	557	7	resistance	resistance	NOUN
fumecheng-12829	557	8	to	to	ADP
fumecheng-12829	557	9	bending	bend	VERB
fumecheng-12829	557	10	moments	moment	NOUN
fumecheng-12829	557	11	,	,	PUNCT
fumecheng-12829	557	12	resulting	result	VERB
fumecheng-12829	557	13	in	in	ADP
fumecheng-12829	557	14	more	more	ADV
fumecheng-12829	557	15	significant	significant	ADJ
fumecheng-12829	557	16	deflections	deflection	NOUN
fumecheng-12829	557	17	under	under	ADP
fumecheng-12829	557	18	the	the	DET
fumecheng-12829	557	19	same	same	ADJ
fumecheng-12829	557	20	loading	loading	NOUN
fumecheng-12829	557	21	conditions	condition	NOUN
fumecheng-12829	557	22	.	.	PUNCT
fumecheng-12829	558	1	0	0	NUM
fumecheng-12829	558	2	0.5	0.5	NUM
fumecheng-12829	558	3	1	1	NUM
fumecheng-12829	558	4	1.5	1.5	NUM
fumecheng-12829	558	5	2	2	NUM
fumecheng-12829	558	6	0	0	NUM
fumecheng-12829	558	7	500	500	NUM
fumecheng-12829	558	8	1000	1000	NUM
fumecheng-12829	558	9	1500	1500	NUM
fumecheng-12829	558	10	2000	2000	NUM
fumecheng-12829	558	11	deflection	deflection	NOUN
fumecheng-12829	558	12	w	w	ADP
fumecheng-12829	558	13	a	a	DET
fumecheng-12829	558	14	l	l	NOUN
fumecheng-12829	558	15	o	o	NOUN
fumecheng-12829	558	16	a	a	DET
fumecheng-12829	558	17	d	d	X
fumecheng-12829	558	18	present	present	ADJ
fumecheng-12829	558	19	mallek	mallek	NOUN
fumecheng-12829	558	20	et	et	NOUN
fumecheng-12829	558	21	al	al	PROPN
fumecheng-12829	558	22	.	.	PUNCT
fumecheng-12829	559	1	[	[	X
fumecheng-12829	559	2	2	2	NUM
fumecheng-12829	559	3	]	]	SYM
fumecheng-12829	559	4	852	852	NUM
fumecheng-12829	559	5	h.	h.	NOUN
fumecheng-12829	559	6	mallek	mallek	PROPN
fumecheng-12829	559	7	,	,	PUNCT
fumecheng-12829	559	8	h.	h.	PROPN
fumecheng-12829	559	9	mellouli	mellouli	PROPN
fumecheng-12829	559	10	,	,	PUNCT
fumecheng-12829	559	11	l.	l.	PROPN
fumecheng-12829	559	12	ben	ben	PROPN
fumecheng-12829	559	13	said	say	VERB
fumecheng-12829	559	14	,	,	PUNCT
fumecheng-12829	559	15	m.	m.	PROPN
fumecheng-12829	559	16	wali	wali	PROPN
fumecheng-12829	559	17	,	,	PUNCT
fumecheng-12829	559	18	f.	f.	PROPN
fumecheng-12829	559	19	dammak	dammak	PROPN
fumecheng-12829	559	20	,	,	PUNCT
fumecheng-12829	559	21	m.	m.	NOUN
fumecheng-12829	559	22	alhadri	alhadri	ADJ
fumecheng-12829	559	23	a	a	DET
fumecheng-12829	559	24	)	)	PUNCT
fumecheng-12829	559	25	b	b	NOUN
fumecheng-12829	559	26	)	)	PUNCT
fumecheng-12829	559	27	fig	fig	NOUN
fumecheng-12829	559	28	.	.	PUNCT
fumecheng-12829	560	1	17	17	NUM
fumecheng-12829	560	2	results	result	NOUN
fumecheng-12829	560	3	of	of	ADP
fumecheng-12829	560	4	deflections	deflection	NOUN
fumecheng-12829	560	5	at	at	ADP
fumecheng-12829	560	6	point	point	NOUN
fumecheng-12829	560	7	a	a	PRON
fumecheng-12829	560	8	of	of	ADP
fumecheng-12829	560	9	the	the	DET
fumecheng-12829	560	10	porous	porous	ADJ
fumecheng-12829	560	11	semi	semi	NOUN
fumecheng-12829	560	12	-	-	NOUN
fumecheng-12829	560	13	cylinder	cylinder	NOUN
fumecheng-12829	560	14	for	for	ADP
fumecheng-12829	560	15	the	the	DET
fumecheng-12829	560	16	material	material	ADJ
fumecheng-12829	560	17	exponent	exponent	NOUN
fumecheng-12829	560	18	of	of	ADP
fumecheng-12829	560	19	the	the	DET
fumecheng-12829	560	20	fgm	fgm	PROPN
fumecheng-12829	560	21	n=0.1	n=0.1	NOUN
fumecheng-12829	560	22	for	for	ADP
fumecheng-12829	560	23	the	the	DET
fumecheng-12829	560	24	(	(	PUNCT
fumecheng-12829	560	25	a	a	NOUN
fumecheng-12829	560	26	):	):	PUNCT
fumecheng-12829	560	27	even	even	ADV
fumecheng-12829	560	28	;	;	PUNCT
fumecheng-12829	560	29	(	(	PUNCT
fumecheng-12829	560	30	b	b	X
fumecheng-12829	560	31	)	)	PUNCT
fumecheng-12829	560	32	uneven	uneven	ADJ
fumecheng-12829	560	33	configuration	configuration	NOUN
fumecheng-12829	560	34	0	0	NUM
fumecheng-12829	560	35	0.1	0.1	NUM
fumecheng-12829	560	36	0.2	0.2	NUM
fumecheng-12829	560	37	0.3	0.3	NUM
fumecheng-12829	560	38	0.4	0.4	NUM
fumecheng-12829	560	39	0.5	0.5	NUM
fumecheng-12829	560	40	0.6	0.6	NUM
fumecheng-12829	560	41	0.7	0.7	NUM
fumecheng-12829	560	42	0	0	NUM
fumecheng-12829	560	43	100	100	NUM
fumecheng-12829	560	44	200	200	NUM
fumecheng-12829	560	45	300	300	NUM
fumecheng-12829	560	46	400	400	NUM
fumecheng-12829	560	47	500	500	NUM
fumecheng-12829	560	48	deflection	deflection	NOUN
fumecheng-12829	560	49	w	w	ADP
fumecheng-12829	560	50	a	a	DET
fumecheng-12829	560	51	[	[	X
fumecheng-12829	560	52	m	m	X
fumecheng-12829	560	53	]	]	X
fumecheng-12829	560	54	lo	lo	NOUN
fumecheng-12829	560	55	ad	ad	NOUN
fumecheng-12829	560	56	(	(	PUNCT
fumecheng-12829	560	57	×	×	NOUN
fumecheng-12829	560	58	10	10	NUM
fumecheng-12829	560	59	3	3	NUM
fumecheng-12829	560	60	[	[	PUNCT
fumecheng-12829	560	61	n	n	X
fumecheng-12829	560	62	]	]	PUNCT
fumecheng-12829	560	63	)	)	PUNCT
fumecheng-12829	560	64	perfect	perfect	ADJ
fumecheng-12829	560	65	even	even	ADV
fumecheng-12829	560	66	(	(	PUNCT
fumecheng-12829	560	67	=0.2	=0.2	X
fumecheng-12829	560	68	)	)	PUNCT
fumecheng-12829	560	69	even	even	ADV
fumecheng-12829	560	70	(	(	PUNCT
fumecheng-12829	560	71	=0.6	=0.6	NOUN
fumecheng-12829	560	72	)	)	PUNCT
fumecheng-12829	560	73	0	0	NUM
fumecheng-12829	560	74	0.05	0.05	NUM
fumecheng-12829	560	75	0.1	0.1	NUM
fumecheng-12829	560	76	0.15	0.15	NUM
fumecheng-12829	560	77	0.2	0.2	NUM
fumecheng-12829	560	78	0.25	0.25	NUM
fumecheng-12829	560	79	0.3	0.3	NUM
fumecheng-12829	560	80	0.35	0.35	NUM
fumecheng-12829	560	81	0	0	NUM
fumecheng-12829	560	82	100	100	NUM
fumecheng-12829	560	83	200	200	NUM
fumecheng-12829	560	84	300	300	NUM
fumecheng-12829	560	85	400	400	NUM
fumecheng-12829	560	86	500	500	NUM
fumecheng-12829	560	87	deflection	deflection	NOUN
fumecheng-12829	560	88	w	w	ADP
fumecheng-12829	560	89	a	a	DET
fumecheng-12829	560	90	[	[	X
fumecheng-12829	560	91	m	m	X
fumecheng-12829	560	92	]	]	X
fumecheng-12829	560	93	l	l	NOUN
fumecheng-12829	560	94	o	o	X
fumecheng-12829	561	1	a	a	PRON
fumecheng-12829	561	2	d	d	X
fumecheng-12829	561	3	(	(	PUNCT
fumecheng-12829	561	4	×	×	NOUN
fumecheng-12829	561	5	1	1	NUM
fumecheng-12829	561	6	0	0	NUM
fumecheng-12829	561	7	3	3	NUM
fumecheng-12829	561	8	[	[	PUNCT
fumecheng-12829	561	9	n	n	X
fumecheng-12829	561	10	]	]	PUNCT
fumecheng-12829	561	11	)	)	PUNCT
fumecheng-12829	561	12	perfect	perfect	ADJ
fumecheng-12829	561	13	uneven	uneven	ADJ
fumecheng-12829	561	14	(	(	PUNCT
fumecheng-12829	561	15	=0.2	=0.2	NOUN
fumecheng-12829	561	16	)	)	PUNCT
fumecheng-12829	561	17	uneven	uneven	ADJ
fumecheng-12829	561	18	(	(	PUNCT
fumecheng-12829	561	19	=0.6	=0.6	NOUN
fumecheng-12829	561	20	)	)	PUNCT
fumecheng-12829	561	21	porosity	porosity	NOUN
fumecheng-12829	561	22	effects	effect	NOUN
fumecheng-12829	561	23	on	on	ADP
fumecheng-12829	561	24	nonlinear	nonlinear	ADJ
fumecheng-12829	561	25	static	static	ADJ
fumecheng-12829	561	26	performances	performance	NOUN
fumecheng-12829	561	27	of	of	ADP
fumecheng-12829	561	28	fg	fg	PROPN
fumecheng-12829	561	29	shells	shell	NOUN
fumecheng-12829	561	30	considering	consider	VERB
fumecheng-12829	561	31	thickness	thickness	NOUN
fumecheng-12829	561	32	stretching	stretch	VERB
fumecheng-12829	561	33	853	853	NUM
fumecheng-12829	561	34	a	a	DET
fumecheng-12829	561	35	)	)	PUNCT
fumecheng-12829	561	36	b	b	NOUN
fumecheng-12829	561	37	)	)	PUNCT
fumecheng-12829	561	38	fig	fig	NOUN
fumecheng-12829	561	39	.	.	PUNCT
fumecheng-12829	562	1	18	18	NUM
fumecheng-12829	562	2	results	result	NOUN
fumecheng-12829	562	3	of	of	ADP
fumecheng-12829	562	4	deflections	deflection	NOUN
fumecheng-12829	562	5	at	at	ADP
fumecheng-12829	562	6	point	point	NOUN
fumecheng-12829	562	7	a	a	DET
fumecheng-12829	562	8	versus	versus	ADP
fumecheng-12829	562	9	different	different	ADJ
fumecheng-12829	562	10	material	material	NOUN
fumecheng-12829	562	11	exponent	exponent	NOUN
fumecheng-12829	562	12	n	n	PROPN
fumecheng-12829	562	13	of	of	ADP
fumecheng-12829	562	14	the	the	DET
fumecheng-12829	562	15	porous	porous	ADJ
fumecheng-12829	562	16	semi	semi	NOUN
fumecheng-12829	562	17	-	-	NOUN
fumecheng-12829	562	18	cylinder	cylinder	NOUN
fumecheng-12829	562	19	for	for	ADP
fumecheng-12829	562	20	the	the	DET
fumecheng-12829	562	21	porosity	porosity	NOUN
fumecheng-12829	562	22	volume	volume	NOUN
fumecheng-12829	562	23	fraction	fraction	NOUN
fumecheng-12829	562	24	at	at	ADP
fumecheng-12829	562	25	the	the	DET
fumecheng-12829	562	26	(	(	PUNCT
fumecheng-12829	562	27	a	a	NOUN
fumecheng-12829	562	28	):	):	PUNCT
fumecheng-12829	562	29	even	even	ADV
fumecheng-12829	562	30	;	;	PUNCT
fumecheng-12829	562	31	(	(	PUNCT
fumecheng-12829	562	32	b	b	X
fumecheng-12829	562	33	)	)	PUNCT
fumecheng-12829	562	34	uneven	uneven	ADJ
fumecheng-12829	562	35	configuration	configuration	NOUN
fumecheng-12829	562	36	0	0	NUM
fumecheng-12829	562	37	0.1	0.1	NUM
fumecheng-12829	562	38	0.2	0.2	NUM
fumecheng-12829	562	39	0.3	0.3	NUM
fumecheng-12829	562	40	0.4	0.4	NUM
fumecheng-12829	562	41	0.5	0.5	NUM
fumecheng-12829	562	42	0.6	0.6	NUM
fumecheng-12829	562	43	0.7	0.7	NUM
fumecheng-12829	562	44	0	0	NUM
fumecheng-12829	562	45	100	100	NUM
fumecheng-12829	562	46	200	200	NUM
fumecheng-12829	562	47	300	300	NUM
fumecheng-12829	562	48	400	400	NUM
fumecheng-12829	562	49	500	500	NUM
fumecheng-12829	562	50	deflection	deflection	NOUN
fumecheng-12829	562	51	w	w	ADP
fumecheng-12829	562	52	a	a	DET
fumecheng-12829	562	53	[	[	X
fumecheng-12829	562	54	m	m	X
fumecheng-12829	562	55	]	]	X
fumecheng-12829	562	56	l	l	NOUN
fumecheng-12829	562	57	o	o	X
fumecheng-12829	562	58	a	a	DET
fumecheng-12829	562	59	d	d	X
fumecheng-12829	562	60	(	(	PUNCT
fumecheng-12829	562	61	×	×	NOUN
fumecheng-12829	562	62	1	1	NUM
fumecheng-12829	562	63	0	0	NUM
fumecheng-12829	562	64	3	3	NUM
fumecheng-12829	562	65	[	[	PUNCT
fumecheng-12829	562	66	n	n	X
fumecheng-12829	562	67	]	]	PUNCT
fumecheng-12829	562	68	)	)	PUNCT
fumecheng-12829	562	69	n=0	n=0	PROPN
fumecheng-12829	562	70	n=1	n=1	ADP
fumecheng-12829	562	71	n=3	n=3	PUNCT
fumecheng-12829	562	72	n=6	n=6	NOUN
fumecheng-12829	562	73	0	0	NUM
fumecheng-12829	562	74	0.1	0.1	NUM
fumecheng-12829	562	75	0.2	0.2	NUM
fumecheng-12829	562	76	0.3	0.3	NUM
fumecheng-12829	562	77	0.4	0.4	NUM
fumecheng-12829	562	78	0.5	0.5	NUM
fumecheng-12829	562	79	0	0	NUM
fumecheng-12829	562	80	100	100	NUM
fumecheng-12829	562	81	200	200	NUM
fumecheng-12829	562	82	300	300	NUM
fumecheng-12829	562	83	400	400	NUM
fumecheng-12829	562	84	500	500	NUM
fumecheng-12829	562	85	deflection	deflection	NOUN
fumecheng-12829	562	86	w	w	ADP
fumecheng-12829	562	87	a	a	DET
fumecheng-12829	562	88	[	[	X
fumecheng-12829	562	89	m	m	X
fumecheng-12829	562	90	]	]	X
fumecheng-12829	562	91	l	l	NOUN
fumecheng-12829	562	92	o	o	X
fumecheng-12829	562	93	a	a	DET
fumecheng-12829	562	94	d	d	X
fumecheng-12829	562	95	(	(	PUNCT
fumecheng-12829	562	96	×	×	NOUN
fumecheng-12829	562	97	1	1	NUM
fumecheng-12829	562	98	0	0	NUM
fumecheng-12829	562	99	3	3	NUM
fumecheng-12829	562	100	[	[	PUNCT
fumecheng-12829	562	101	n	n	X
fumecheng-12829	562	102	]	]	PUNCT
fumecheng-12829	562	103	)	)	PUNCT
fumecheng-12829	562	104	n=0	n=0	PROPN
fumecheng-12829	562	105	n=1	n=1	ADP
fumecheng-12829	562	106	n=3	n=3	PUNCT
fumecheng-12829	562	107	n=6	n=6	ADJ
fumecheng-12829	562	108	854	854	NUM
fumecheng-12829	562	109	h.	h.	NOUN
fumecheng-12829	562	110	mallek	mallek	PROPN
fumecheng-12829	562	111	,	,	PUNCT
fumecheng-12829	562	112	h.	h.	PROPN
fumecheng-12829	562	113	mellouli	mellouli	PROPN
fumecheng-12829	562	114	,	,	PUNCT
fumecheng-12829	562	115	l.	l.	PROPN
fumecheng-12829	562	116	ben	ben	PROPN
fumecheng-12829	562	117	said	say	VERB
fumecheng-12829	562	118	,	,	PUNCT
fumecheng-12829	562	119	m.	m.	PROPN
fumecheng-12829	562	120	wali	wali	PROPN
fumecheng-12829	562	121	,	,	PUNCT
fumecheng-12829	562	122	f.	f.	PROPN
fumecheng-12829	562	123	dammak	dammak	PROPN
fumecheng-12829	562	124	,	,	PUNCT
fumecheng-12829	562	125	m.	m.	NOUN
fumecheng-12829	562	126	alhadri	alhadri	PROPN
fumecheng-12829	562	127	fig	fig	PROPN
fumecheng-12829	562	128	.	.	PUNCT
fumecheng-12829	563	1	19	19	NUM
fumecheng-12829	563	2	influence	influence	NOUN
fumecheng-12829	563	3	of	of	ADP
fumecheng-12829	563	4	the	the	DET
fumecheng-12829	563	5	ration	ration	NOUN
fumecheng-12829	563	6	r	r	NOUN
fumecheng-12829	563	7	/	/	SYM
fumecheng-12829	563	8	h	h	NOUN
fumecheng-12829	563	9	on	on	ADP
fumecheng-12829	563	10	the	the	DET
fumecheng-12829	563	11	large	large	ADJ
fumecheng-12829	563	12	deflections	deflection	NOUN
fumecheng-12829	563	13	at	at	ADP
fumecheng-12829	563	14	point	point	NOUN
fumecheng-12829	563	15	a	a	PRON
fumecheng-12829	563	16	of	of	ADP
fumecheng-12829	563	17	the	the	DET
fumecheng-12829	563	18	porous	porous	ADJ
fumecheng-12829	563	19	semicylinder	semicylinder	NOUN
fumecheng-12829	563	20	considering	consider	VERB
fumecheng-12829	563	21	the	the	DET
fumecheng-12829	563	22	material	material	ADJ
fumecheng-12829	563	23	exponent	exponent	NOUN
fumecheng-12829	563	24	n=0.1	n=0.1	NOUN
fumecheng-12829	563	25	of	of	ADP
fumecheng-12829	563	26	the	the	DET
fumecheng-12829	563	27	fgm	fgm	PROPN
fumecheng-12829	563	28	for	for	ADP
fumecheng-12829	563	29	the	the	DET
fumecheng-12829	563	30	different	different	ADJ
fumecheng-12829	563	31	configurations	configuration	NOUN
fumecheng-12829	563	32	of	of	ADP
fumecheng-12829	563	33	porosity	porosity	NOUN
fumecheng-12829	563	34	with	with	ADP
fumecheng-12829	563	35	various	various	ADJ
fumecheng-12829	563	36	values	value	NOUN
fumecheng-12829	563	37	of	of	ADP
fumecheng-12829	563	38	α	α	PRON
fumecheng-12829	563	39	finally	finally	ADV
fumecheng-12829	563	40	,	,	PUNCT
fumecheng-12829	563	41	fig	fig	NOUN
fumecheng-12829	563	42	.	.	PUNCT
fumecheng-12829	564	1	20	20	NUM
fumecheng-12829	564	2	illustrates	illustrate	VERB
fumecheng-12829	564	3	the	the	DET
fumecheng-12829	564	4	distributions	distribution	NOUN
fumecheng-12829	564	5	of	of	ADP
fumecheng-12829	564	6	normal	normal	ADJ
fumecheng-12829	564	7	𝜎𝑥𝑥	𝜎𝑥𝑥	NOUN
fumecheng-12829	564	8	and	and	CCONJ
fumecheng-12829	564	9	transverse	transverse	NOUN
fumecheng-12829	564	10	shear	shear	NOUN
fumecheng-12829	564	11	stresses	stress	VERB
fumecheng-12829	564	12	𝜎𝑥𝑧	𝜎𝑥𝑧	NOUN
fumecheng-12829	564	13	at	at	ADP
fumecheng-12829	564	14	point	point	NOUN
fumecheng-12829	564	15	a	a	PRON
fumecheng-12829	564	16	for	for	ADP
fumecheng-12829	564	17	different	different	ADJ
fumecheng-12829	564	18	configurations	configuration	NOUN
fumecheng-12829	564	19	of	of	ADP
fumecheng-12829	564	20	the	the	DET
fumecheng-12829	564	21	porous	porous	ADJ
fumecheng-12829	564	22	fgm	fgm	PROPN
fumecheng-12829	564	23	,	,	PUNCT
fumecheng-12829	564	24	considering	consider	VERB
fumecheng-12829	564	25	the	the	DET
fumecheng-12829	564	26	material	material	ADJ
fumecheng-12829	564	27	exponent	exponent	NOUN
fumecheng-12829	564	28	(	(	PUNCT
fumecheng-12829	564	29	n=0.1	n=0.1	NOUN
fumecheng-12829	564	30	)	)	PUNCT
fumecheng-12829	564	31	.	.	PUNCT
fumecheng-12829	565	1	these	these	DET
fumecheng-12829	565	2	stress	stress	NOUN
fumecheng-12829	565	3	distributions	distribution	NOUN
fumecheng-12829	565	4	underscore	underscore	VERB
fumecheng-12829	565	5	the	the	DET
fumecheng-12829	565	6	influence	influence	NOUN
fumecheng-12829	565	7	of	of	ADP
fumecheng-12829	565	8	porosity	porosity	NOUN
fumecheng-12829	565	9	volume	volume	NOUN
fumecheng-12829	565	10	fractions	fraction	NOUN
fumecheng-12829	565	11	,	,	PUNCT
fumecheng-12829	565	12	as	as	SCONJ
fumecheng-12829	565	13	an	an	DET
fumecheng-12829	565	14	increase	increase	NOUN
fumecheng-12829	565	15	in	in	ADP
fumecheng-12829	565	16	pore	pore	ADJ
fumecheng-12829	565	17	density	density	NOUN
fumecheng-12829	565	18	reduces	reduce	VERB
fumecheng-12829	565	19	the	the	DET
fumecheng-12829	565	20	structure	structure	NOUN
fumecheng-12829	565	21	's	's	PART
fumecheng-12829	565	22	stiffness	stiffness	NOUN
fumecheng-12829	565	23	and	and	CCONJ
fumecheng-12829	565	24	leads	lead	VERB
fumecheng-12829	565	25	to	to	ADP
fumecheng-12829	565	26	higher	high	ADJ
fumecheng-12829	565	27	stress	stress	NOUN
fumecheng-12829	565	28	values	value	NOUN
fumecheng-12829	565	29	.	.	PUNCT
fumecheng-12829	566	1	as	as	ADP
fumecheng-12829	566	2	evident	evident	ADJ
fumecheng-12829	566	3	from	from	ADP
fumecheng-12829	566	4	fig	fig	NOUN
fumecheng-12829	566	5	.	.	PUNCT
fumecheng-12829	567	1	20	20	NUM
fumecheng-12829	567	2	(	(	PUNCT
fumecheng-12829	567	3	b	b	NOUN
fumecheng-12829	567	4	)	)	PUNCT
fumecheng-12829	567	5	,	,	PUNCT
fumecheng-12829	567	6	a	a	DET
fumecheng-12829	567	7	notable	notable	ADJ
fumecheng-12829	567	8	parabolic	parabolic	ADJ
fumecheng-12829	567	9	variation	variation	NOUN
fumecheng-12829	567	10	of	of	ADP
fumecheng-12829	567	11	transverse	transverse	ADJ
fumecheng-12829	567	12	shear	shear	NOUN
fumecheng-12829	567	13	stress	stress	NOUN
fumecheng-12829	567	14	throughout	throughout	ADP
fumecheng-12829	567	15	the	the	DET
fumecheng-12829	567	16	thickness	thickness	NOUN
fumecheng-12829	567	17	of	of	ADP
fumecheng-12829	567	18	the	the	DET
fumecheng-12829	567	19	structure	structure	NOUN
fumecheng-12829	567	20	is	be	AUX
fumecheng-12829	567	21	observed	observe	VERB
fumecheng-12829	567	22	,	,	PUNCT
fumecheng-12829	567	23	owing	owe	VERB
fumecheng-12829	567	24	to	to	ADP
fumecheng-12829	567	25	the	the	DET
fumecheng-12829	567	26	utilization	utilization	NOUN
fumecheng-12829	567	27	of	of	ADP
fumecheng-12829	567	28	an	an	DET
fumecheng-12829	567	29	enhanced	enhance	VERB
fumecheng-12829	567	30	fsdt	fsdt	NOUN
fumecheng-12829	567	31	.	.	PUNCT
fumecheng-12829	568	1	this	this	PRON
fumecheng-12829	568	2	improved	improve	VERB
fumecheng-12829	568	3	theoretical	theoretical	ADJ
fumecheng-12829	568	4	framework	framework	NOUN
fumecheng-12829	568	5	provides	provide	VERB
fumecheng-12829	568	6	a	a	DET
fumecheng-12829	568	7	more	more	ADV
fumecheng-12829	568	8	accurate	accurate	ADJ
fumecheng-12829	568	9	representation	representation	NOUN
fumecheng-12829	568	10	of	of	ADP
fumecheng-12829	568	11	the	the	DET
fumecheng-12829	568	12	transverse	transverse	ADJ
fumecheng-12829	568	13	shear	shear	NOUN
fumecheng-12829	568	14	stress	stress	ADJ
fumecheng-12829	568	15	distribution	distribution	NOUN
fumecheng-12829	568	16	within	within	ADP
fumecheng-12829	568	17	the	the	DET
fumecheng-12829	568	18	structure	structure	NOUN
fumecheng-12829	568	19	,	,	PUNCT
fumecheng-12829	568	20	capturing	capture	VERB
fumecheng-12829	568	21	the	the	DET
fumecheng-12829	568	22	complexities	complexity	NOUN
fumecheng-12829	568	23	of	of	ADP
fumecheng-12829	568	24	its	its	PRON
fumecheng-12829	568	25	behavior	behavior	NOUN
fumecheng-12829	568	26	under	under	ADP
fumecheng-12829	568	27	loading	loading	NOUN
fumecheng-12829	568	28	conditions	condition	NOUN
fumecheng-12829	568	29	.	.	PUNCT
fumecheng-12829	569	1	0	0	NUM
fumecheng-12829	570	1	10	10	NUM
fumecheng-12829	570	2	20	20	NUM
fumecheng-12829	570	3	30	30	NUM
fumecheng-12829	570	4	40	40	NUM
fumecheng-12829	570	5	50	50	NUM
fumecheng-12829	570	6	60	60	NUM
fumecheng-12829	570	7	0	0	NUM
fumecheng-12829	570	8	0.5	0.5	NUM
fumecheng-12829	570	9	1	1	NUM
fumecheng-12829	570	10	1.5	1.5	NUM
fumecheng-12829	570	11	2	2	NUM
fumecheng-12829	570	12	d	d	NOUN
fumecheng-12829	570	13	e	e	NOUN
fumecheng-12829	570	14	fl	fl	NOUN
fumecheng-12829	570	15	e	e	NOUN
fumecheng-12829	570	16	c	c	NOUN
fumecheng-12829	570	17	ti	ti	X
fumecheng-12829	570	18	o	o	X
fumecheng-12829	570	19	n	n	PROPN
fumecheng-12829	570	20	w	w	PROPN
fumecheng-12829	570	21	a	a	DET
fumecheng-12829	570	22	[	[	PUNCT
fumecheng-12829	570	23	m	m	NOUN
fumecheng-12829	570	24	]	]	X
fumecheng-12829	570	25	r	r	X
fumecheng-12829	570	26	/	/	SYM
fumecheng-12829	570	27	h	h	NOUN
fumecheng-12829	570	28	perfect	perfect	ADJ
fumecheng-12829	570	29	even(=0.2	even(=0.2	PROPN
fumecheng-12829	570	30	)	)	PUNCT
fumecheng-12829	570	31	even(=0.6	even(=0.6	PROPN
fumecheng-12829	570	32	)	)	PUNCT
fumecheng-12829	570	33	uneven(=0.2	uneven(=0.2	NOUN
fumecheng-12829	570	34	)	)	PUNCT
fumecheng-12829	570	35	uneven(=0.6	uneven(=0.6	NOUN
fumecheng-12829	570	36	)	)	PUNCT
fumecheng-12829	570	37	)	)	PUNCT
fumecheng-12829	570	38	porosity	porosity	NOUN
fumecheng-12829	570	39	effects	effect	NOUN
fumecheng-12829	570	40	on	on	ADP
fumecheng-12829	570	41	nonlinear	nonlinear	ADJ
fumecheng-12829	570	42	static	static	ADJ
fumecheng-12829	570	43	performances	performance	NOUN
fumecheng-12829	570	44	of	of	ADP
fumecheng-12829	570	45	fg	fg	PROPN
fumecheng-12829	570	46	shells	shell	NOUN
fumecheng-12829	570	47	considering	consider	VERB
fumecheng-12829	570	48	thickness	thickness	NOUN
fumecheng-12829	570	49	stretching	stretch	VERB
fumecheng-12829	570	50	855	855	NUM
fumecheng-12829	570	51	a	a	DET
fumecheng-12829	570	52	)	)	PUNCT
fumecheng-12829	570	53	b	b	NOUN
fumecheng-12829	570	54	)	)	PUNCT
fumecheng-12829	570	55	fig	fig	NOUN
fumecheng-12829	570	56	.	.	PUNCT
fumecheng-12829	571	1	20	20	NUM
fumecheng-12829	571	2	stress	stress	NOUN
fumecheng-12829	571	3	distributions	distribution	NOUN
fumecheng-12829	571	4	at	at	ADP
fumecheng-12829	571	5	point	point	NOUN
fumecheng-12829	571	6	a	a	PRON
fumecheng-12829	571	7	along	along	ADP
fumecheng-12829	571	8	the	the	DET
fumecheng-12829	571	9	thickness	thickness	NOUN
fumecheng-12829	571	10	of	of	ADP
fumecheng-12829	571	11	the	the	DET
fumecheng-12829	571	12	porous	porous	ADJ
fumecheng-12829	571	13	semi	semi	NOUN
fumecheng-12829	571	14	-	-	NOUN
fumecheng-12829	571	15	cylinder	cylinder	NOUN
fumecheng-12829	571	16	with	with	ADP
fumecheng-12829	571	17	a	a	DET
fumecheng-12829	571	18	material	material	ADJ
fumecheng-12829	571	19	exponent	exponent	NOUN
fumecheng-12829	571	20	n=0.1	n=0.1	NOUN
fumecheng-12829	571	21	for	for	ADP
fumecheng-12829	571	22	(	(	PUNCT
fumecheng-12829	571	23	a	a	X
fumecheng-12829	571	24	)	)	PUNCT
fumecheng-12829	571	25	𝜎𝑥𝑥	𝜎𝑥𝑥	NOUN
fumecheng-12829	571	26	;	;	PUNCT
fumecheng-12829	571	27	(	(	PUNCT
fumecheng-12829	571	28	b	b	X
fumecheng-12829	571	29	)	)	PUNCT
fumecheng-12829	571	30	𝜎𝑥𝑧	𝜎𝑥𝑧	NOUN
fumecheng-12829	571	31	-2	-2	INTJ
fumecheng-12829	571	32	-1	-1	NOUN
fumecheng-12829	571	33	0	0	NUM
fumecheng-12829	571	34	1	1	NUM
fumecheng-12829	571	35	2	2	NUM
fumecheng-12829	571	36	3	3	NUM
fumecheng-12829	571	37	-0.5	-0.5	NUM
fumecheng-12829	571	38	0	0	NUM
fumecheng-12829	571	39	0.5	0.5	NUM
fumecheng-12829	571	40	stress	stress	NOUN
fumecheng-12829	571	41			PROPN
fumecheng-12829	571	42	xx	xx	NUM
fumecheng-12829	572	1	[	[	X
fumecheng-12829	572	2	×109pa	×109pa	X
fumecheng-12829	572	3	]	]	X
fumecheng-12829	572	4	z	z	NOUN
fumecheng-12829	572	5	/h	/h	NOUN
fumecheng-12829	572	6	perfect	perfect	ADJ
fumecheng-12829	572	7	even(=0.2	even(=0.2	PROPN
fumecheng-12829	572	8	)	)	PUNCT
fumecheng-12829	572	9	even(=0.6	even(=0.6	PROPN
fumecheng-12829	572	10	)	)	PUNCT
fumecheng-12829	572	11	uneven(=0.2	uneven(=0.2	NOUN
fumecheng-12829	572	12	)	)	PUNCT
fumecheng-12829	572	13	uneven(=0.6	uneven(=0.6	NOUN
fumecheng-12829	572	14	)	)	PUNCT
fumecheng-12829	572	15	0	0	NUM
fumecheng-12829	572	16	0.5	0.5	NUM
fumecheng-12829	572	17	1	1	NUM
fumecheng-12829	572	18	1.5	1.5	NUM
fumecheng-12829	572	19	2	2	NUM
fumecheng-12829	572	20	2.5	2.5	NUM
fumecheng-12829	572	21	3	3	NUM
fumecheng-12829	572	22	3.5	3.5	NUM
fumecheng-12829	572	23	-0.5	-0.5	NUM
fumecheng-12829	572	24	0	0	NUM
fumecheng-12829	572	25	0.5	0.5	NUM
fumecheng-12829	572	26	stress	stress	NOUN
fumecheng-12829	572	27			PROPN
fumecheng-12829	572	28	xz	xz	NOUN
fumecheng-12829	573	1	[	[	X
fumecheng-12829	573	2	×108pa	×108pa	X
fumecheng-12829	573	3	]	]	X
fumecheng-12829	573	4	z	z	NOUN
fumecheng-12829	573	5	/h	/h	NOUN
fumecheng-12829	573	6	perfect	perfect	ADJ
fumecheng-12829	573	7	even(=0.2	even(=0.2	PROPN
fumecheng-12829	573	8	)	)	PUNCT
fumecheng-12829	573	9	even(=0.6	even(=0.6	PROPN
fumecheng-12829	573	10	)	)	PUNCT
fumecheng-12829	573	11	uneven(=0.2	uneven(=0.2	NOUN
fumecheng-12829	573	12	)	)	PUNCT
fumecheng-12829	573	13	uneven(=0.6	uneven(=0.6	NOUN
fumecheng-12829	573	14	)	)	PUNCT
fumecheng-12829	573	15	856	856	NUM
fumecheng-12829	573	16	h.	h.	NOUN
fumecheng-12829	573	17	mallek	mallek	PROPN
fumecheng-12829	573	18	,	,	PUNCT
fumecheng-12829	573	19	h.	h.	PROPN
fumecheng-12829	573	20	mellouli	mellouli	PROPN
fumecheng-12829	573	21	,	,	PUNCT
fumecheng-12829	573	22	l.	l.	PROPN
fumecheng-12829	573	23	ben	ben	PROPN
fumecheng-12829	573	24	said	say	VERB
fumecheng-12829	573	25	,	,	PUNCT
fumecheng-12829	573	26	m.	m.	PROPN
fumecheng-12829	573	27	wali	wali	PROPN
fumecheng-12829	573	28	,	,	PUNCT
fumecheng-12829	573	29	f.	f.	PROPN
fumecheng-12829	573	30	dammak	dammak	PROPN
fumecheng-12829	573	31	,	,	PUNCT
fumecheng-12829	573	32	m.	m.	NOUN
fumecheng-12829	573	33	alhadri	alhadri	ADJ
fumecheng-12829	573	34	4	4	NUM
fumecheng-12829	573	35	.	.	PUNCT
fumecheng-12829	574	1	conclusions	conclusion	NOUN
fumecheng-12829	574	2	this	this	DET
fumecheng-12829	574	3	study	study	NOUN
fumecheng-12829	574	4	introduces	introduce	VERB
fumecheng-12829	574	5	an	an	DET
fumecheng-12829	574	6	innovative	innovative	ADJ
fumecheng-12829	574	7	finite	finite	ADJ
fumecheng-12829	574	8	element	element	NOUN
fumecheng-12829	574	9	-	-	PUNCT
fumecheng-12829	574	10	based	base	VERB
fumecheng-12829	574	11	model	model	NOUN
fumecheng-12829	574	12	,	,	PUNCT
fumecheng-12829	574	13	incorporating	incorporate	VERB
fumecheng-12829	574	14	enhancements	enhancement	NOUN
fumecheng-12829	574	15	to	to	ADP
fumecheng-12829	574	16	the	the	DET
fumecheng-12829	574	17	standard	standard	ADJ
fumecheng-12829	574	18	fsdt	fsdt	NOUN
fumecheng-12829	574	19	,	,	PUNCT
fumecheng-12829	574	20	to	to	PART
fumecheng-12829	574	21	investigate	investigate	VERB
fumecheng-12829	574	22	large	large	ADJ
fumecheng-12829	574	23	deformation	deformation	NOUN
fumecheng-12829	574	24	behaviors	behavior	NOUN
fumecheng-12829	574	25	in	in	ADP
fumecheng-12829	574	26	porositycontaining	porositycontaine	VERB
fumecheng-12829	574	27	functionally	functionally	ADV
fumecheng-12829	574	28	graded	grade	VERB
fumecheng-12829	574	29	(	(	PUNCT
fumecheng-12829	574	30	fg	fg	NOUN
fumecheng-12829	574	31	)	)	PUNCT
fumecheng-12829	574	32	shell	shell	ADJ
fumecheng-12829	574	33	structures	structure	NOUN
fumecheng-12829	574	34	.	.	PUNCT
fumecheng-12829	575	1	emphasizing	emphasize	VERB
fumecheng-12829	575	2	thickness	thickness	NOUN
fumecheng-12829	575	3	stretching	stretch	VERB
fumecheng-12829	575	4	through	through	ADP
fumecheng-12829	575	5	the	the	DET
fumecheng-12829	575	6	enhancement	enhancement	NOUN
fumecheng-12829	575	7	of	of	ADP
fumecheng-12829	575	8	the	the	DET
fumecheng-12829	575	9	third	third	ADJ
fumecheng-12829	575	10	bending	bend	VERB
fumecheng-12829	575	11	strain	strain	NOUN
fumecheng-12829	575	12	,	,	PUNCT
fumecheng-12829	575	13	with	with	ADP
fumecheng-12829	575	14	additional	additional	ADJ
fumecheng-12829	575	15	parameters	parameter	NOUN
fumecheng-12829	575	16	facilitated	facilitate	VERB
fumecheng-12829	575	17	by	by	ADP
fumecheng-12829	575	18	the	the	DET
fumecheng-12829	575	19	eas	ea	NOUN
fumecheng-12829	575	20	method	method	NOUN
fumecheng-12829	575	21	,	,	PUNCT
fumecheng-12829	575	22	and	and	CCONJ
fumecheng-12829	575	23	augmentation	augmentation	NOUN
fumecheng-12829	575	24	of	of	ADP
fumecheng-12829	575	25	the	the	DET
fumecheng-12829	575	26	membrane	membrane	NOUN
fumecheng-12829	575	27	strains	strain	VERB
fumecheng-12829	575	28	with	with	ADP
fumecheng-12829	575	29	enriched	enriched	ADJ
fumecheng-12829	575	30	parameters	parameter	NOUN
fumecheng-12829	575	31	,	,	PUNCT
fumecheng-12829	575	32	a	a	DET
fumecheng-12829	575	33	comprehensive	comprehensive	ADJ
fumecheng-12829	575	34	six	six	NUM
fumecheng-12829	575	35	-	-	PUNCT
fumecheng-12829	575	36	degree	degree	NOUN
fumecheng-12829	575	37	-	-	PUNCT
fumecheng-12829	575	38	of	of	ADP
fumecheng-12829	575	39	-	-	PUNCT
fumecheng-12829	575	40	freedom	freedom	NOUN
fumecheng-12829	575	41	shell	shell	NOUN
fumecheng-12829	575	42	model	model	NOUN
fumecheng-12829	575	43	is	be	AUX
fumecheng-12829	575	44	developed	develop	VERB
fumecheng-12829	575	45	.	.	PUNCT
fumecheng-12829	576	1	the	the	DET
fumecheng-12829	576	2	investigation	investigation	NOUN
fumecheng-12829	576	3	evaluates	evaluate	VERB
fumecheng-12829	576	4	the	the	DET
fumecheng-12829	576	5	model	model	NOUN
fumecheng-12829	576	6	's	's	PART
fumecheng-12829	576	7	performance	performance	NOUN
fumecheng-12829	576	8	through	through	ADP
fumecheng-12829	576	9	simulations	simulation	NOUN
fumecheng-12829	576	10	of	of	ADP
fumecheng-12829	576	11	various	various	ADJ
fumecheng-12829	576	12	boundary	boundary	ADJ
fumecheng-12829	576	13	conditions	condition	NOUN
fumecheng-12829	576	14	and	and	CCONJ
fumecheng-12829	576	15	different	different	ADJ
fumecheng-12829	576	16	types	type	NOUN
fumecheng-12829	576	17	of	of	ADP
fumecheng-12829	576	18	perfect	perfect	ADJ
fumecheng-12829	576	19	fgms	fgms	ADJ
fumecheng-12829	576	20	,	,	PUNCT
fumecheng-12829	576	21	demonstrating	demonstrate	VERB
fumecheng-12829	576	22	convergent	convergent	NOUN
fumecheng-12829	576	23	and	and	CCONJ
fumecheng-12829	576	24	accurate	accurate	ADJ
fumecheng-12829	576	25	results	result	NOUN
fumecheng-12829	576	26	compared	compare	VERB
fumecheng-12829	576	27	to	to	ADP
fumecheng-12829	576	28	existing	exist	VERB
fumecheng-12829	576	29	literature	literature	NOUN
fumecheng-12829	576	30	.	.	PUNCT
fumecheng-12829	577	1	a	a	DET
fumecheng-12829	577	2	parametric	parametric	ADJ
fumecheng-12829	577	3	study	study	NOUN
fumecheng-12829	577	4	explores	explore	VERB
fumecheng-12829	577	5	the	the	DET
fumecheng-12829	577	6	impact	impact	NOUN
fumecheng-12829	577	7	of	of	ADP
fumecheng-12829	577	8	porosities	porosity	NOUN
fumecheng-12829	577	9	on	on	ADP
fumecheng-12829	577	10	fgm	fgm	PROPN
fumecheng-12829	577	11	characteristics	characteristic	NOUN
fumecheng-12829	577	12	,	,	PUNCT
fumecheng-12829	577	13	particularly	particularly	ADV
fumecheng-12829	577	14	focusing	focus	VERB
fumecheng-12829	577	15	on	on	ADP
fumecheng-12829	577	16	cylindrical	cylindrical	ADJ
fumecheng-12829	577	17	shell	shell	NOUN
fumecheng-12829	577	18	structures	structure	NOUN
fumecheng-12829	577	19	.	.	PUNCT
fumecheng-12829	578	1	the	the	DET
fumecheng-12829	578	2	presence	presence	NOUN
fumecheng-12829	578	3	of	of	ADP
fumecheng-12829	578	4	pores	pore	NOUN
fumecheng-12829	578	5	reduces	reduce	VERB
fumecheng-12829	578	6	the	the	DET
fumecheng-12829	578	7	structure	structure	NOUN
fumecheng-12829	578	8	's	's	PART
fumecheng-12829	578	9	stiffness	stiffness	NOUN
fumecheng-12829	578	10	,	,	PUNCT
fumecheng-12829	578	11	resulting	result	VERB
fumecheng-12829	578	12	in	in	ADP
fumecheng-12829	578	13	significant	significant	ADJ
fumecheng-12829	578	14	deformations	deformation	NOUN
fumecheng-12829	578	15	,	,	PUNCT
fumecheng-12829	578	16	particularly	particularly	ADV
fumecheng-12829	578	17	notable	notable	ADJ
fumecheng-12829	578	18	in	in	ADP
fumecheng-12829	578	19	unevenly	unevenly	ADV
fumecheng-12829	578	20	distributed	distribute	VERB
fumecheng-12829	578	21	porosity	porosity	NOUN
fumecheng-12829	578	22	configurations	configuration	NOUN
fumecheng-12829	578	23	.	.	PUNCT
fumecheng-12829	579	1	moreover	moreover	ADV
fumecheng-12829	579	2	,	,	PUNCT
fumecheng-12829	579	3	an	an	DET
fumecheng-12829	579	4	increase	increase	NOUN
fumecheng-12829	579	5	in	in	ADP
fumecheng-12829	579	6	porosity	porosity	NOUN
fumecheng-12829	579	7	volume	volume	NOUN
fumecheng-12829	579	8	fraction	fraction	NOUN
fumecheng-12829	579	9	exacerbates	exacerbate	VERB
fumecheng-12829	579	10	the	the	DET
fumecheng-12829	579	11	deflection	deflection	NOUN
fumecheng-12829	579	12	of	of	ADP
fumecheng-12829	579	13	porous	porous	ADJ
fumecheng-12829	579	14	fgm	fgm	PROPN
fumecheng-12829	579	15	shell	shell	NOUN
fumecheng-12829	579	16	structures	structure	NOUN
fumecheng-12829	579	17	,	,	PUNCT
fumecheng-12829	579	18	underscoring	underscore	VERB
fumecheng-12829	579	19	the	the	DET
fumecheng-12829	579	20	structural	structural	ADJ
fumecheng-12829	579	21	implications	implication	NOUN
fumecheng-12829	579	22	of	of	ADP
fumecheng-12829	579	23	porosity	porosity	NOUN
fumecheng-12829	579	24	in	in	ADP
fumecheng-12829	579	25	fgm	fgm	PROPN
fumecheng-12829	579	26	materials	material	NOUN
fumecheng-12829	579	27	.	.	PUNCT
fumecheng-12829	580	1	this	this	DET
fumecheng-12829	580	2	research	research	NOUN
fumecheng-12829	580	3	significantly	significantly	ADV
fumecheng-12829	580	4	advances	advance	VERB
fumecheng-12829	580	5	the	the	DET
fumecheng-12829	580	6	understanding	understanding	NOUN
fumecheng-12829	580	7	of	of	ADP
fumecheng-12829	580	8	pfg	pfg	PROPN
fumecheng-12829	580	9	shell	shell	NOUN
fumecheng-12829	580	10	structures	structure	NOUN
fumecheng-12829	580	11	,	,	PUNCT
fumecheng-12829	580	12	offering	offer	VERB
fumecheng-12829	580	13	valuable	valuable	ADJ
fumecheng-12829	580	14	insights	insight	NOUN
fumecheng-12829	580	15	into	into	ADP
fumecheng-12829	580	16	their	their	PRON
fumecheng-12829	580	17	nonlinear	nonlinear	ADJ
fumecheng-12829	580	18	behavior	behavior	NOUN
fumecheng-12829	580	19	under	under	ADP
fumecheng-12829	580	20	diverse	diverse	ADJ
fumecheng-12829	580	21	loading	loading	NOUN
fumecheng-12829	580	22	conditions	condition	NOUN
fumecheng-12829	580	23	.	.	PUNCT
fumecheng-12829	581	1	acknowledgement	acknowledgement	NOUN
fumecheng-12829	581	2	:	:	PUNCT
fumecheng-12829	581	3	this	this	DET
fumecheng-12829	581	4	research	research	NOUN
fumecheng-12829	581	5	is	be	AUX
fumecheng-12829	581	6	carried	carry	VERB
fumecheng-12829	581	7	out	out	ADP
fumecheng-12829	581	8	under	under	ADP
fumecheng-12829	581	9	young	young	ADJ
fumecheng-12829	581	10	researchers	researcher	NOUN
fumecheng-12829	581	11	encouragement	encouragement	NOUN
fumecheng-12829	581	12	program	program	NOUN
fumecheng-12829	581	13	,	,	PUNCT
fumecheng-12829	581	14	funded	fund	VERB
fumecheng-12829	581	15	by	by	ADP
fumecheng-12829	581	16	the	the	DET
fumecheng-12829	581	17	ministry	ministry	PROPN
fumecheng-12829	581	18	of	of	ADP
fumecheng-12829	581	19	higher	high	ADJ
fumecheng-12829	581	20	education	education	NOUN
fumecheng-12829	581	21	and	and	CCONJ
fumecheng-12829	581	22	scientific	scientific	ADJ
fumecheng-12829	581	23	research	research	NOUN
fumecheng-12829	581	24	(	(	PUNCT
fumecheng-12829	581	25	tunisia	tunisia	NOUN
fumecheng-12829	581	26	)	)	PUNCT
fumecheng-12829	581	27	through	through	ADP
fumecheng-12829	581	28	project	project	NOUN
fumecheng-12829	581	29	number	number	NOUN
fumecheng-12829	581	30	pejc2023	pejc2023	PROPN
fumecheng-12829	581	31	-	-	PUNCT
fumecheng-12829	581	32	d6p19	d6p19	NOUN
fumecheng-12829	581	33	.	.	PUNCT
fumecheng-12829	582	1	references	reference	NOUN
fumecheng-12829	582	2	1	1	NUM
fumecheng-12829	582	3	.	.	PUNCT
fumecheng-12829	583	1	hajlaoui	hajlaoui	PROPN
fumecheng-12829	583	2	,	,	PUNCT
fumecheng-12829	583	3	a.	a.	PROPN
fumecheng-12829	583	4	,	,	PUNCT
fumecheng-12829	583	5	dammak	dammak	PROPN
fumecheng-12829	583	6	,	,	PUNCT
fumecheng-12829	583	7	f.	f.	PROPN
fumecheng-12829	583	8	,	,	PUNCT
fumecheng-12829	583	9	2022	2022	NUM
fumecheng-12829	583	10	,	,	PUNCT
fumecheng-12829	583	11	a	a	DET
fumecheng-12829	583	12	modified	modified	ADJ
fumecheng-12829	583	13	first	first	ADJ
fumecheng-12829	583	14	shear	shear	NOUN
fumecheng-12829	583	15	deformation	deformation	NOUN
fumecheng-12829	583	16	theory	theory	NOUN
fumecheng-12829	583	17	for	for	ADP
fumecheng-12829	583	18	three	three	NUM
fumecheng-12829	583	19	-	-	PUNCT
fumecheng-12829	583	20	dimensional	dimensional	ADJ
fumecheng-12829	583	21	thermal	thermal	ADJ
fumecheng-12829	583	22	postbuckling	postbuckle	VERB
fumecheng-12829	583	23	analysis	analysis	NOUN
fumecheng-12829	583	24	of	of	ADP
fumecheng-12829	583	25	fgm	fgm	PROPN
fumecheng-12829	583	26	plates	plate	NOUN
fumecheng-12829	583	27	,	,	PUNCT
fumecheng-12829	583	28	meccanica	meccanica	PROPN
fumecheng-12829	583	29	,	,	PUNCT
fumecheng-12829	583	30	57(2	57(2	NUM
fumecheng-12829	583	31	)	)	PUNCT
fumecheng-12829	583	32	,	,	PUNCT
fumecheng-12829	583	33	pp	pp	PROPN
fumecheng-12829	583	34	.	.	PUNCT
fumecheng-12829	584	1	337	337	NUM
fumecheng-12829	584	2	-	-	SYM
fumecheng-12829	584	3	353	353	NUM
fumecheng-12829	584	4	.	.	NOUN
fumecheng-12829	585	1	2	2	NUM
fumecheng-12829	585	2	.	.	X
fumecheng-12829	585	3	mallek	mallek	PROPN
fumecheng-12829	585	4	,	,	PUNCT
fumecheng-12829	585	5	h.	h.	PROPN
fumecheng-12829	585	6	,	,	PUNCT
fumecheng-12829	585	7	jrad	jrad	PROPN
fumecheng-12829	585	8	,	,	PUNCT
fumecheng-12829	585	9	h.	h.	PROPN
fumecheng-12829	585	10	,	,	PUNCT
fumecheng-12829	585	11	algahtani	algahtani	PROPN
fumecheng-12829	585	12	,	,	PUNCT
fumecheng-12829	585	13	a.	a.	NOUN
fumecheng-12829	585	14	,	,	PUNCT
fumecheng-12829	585	15	wali	wali	PROPN
fumecheng-12829	585	16	,	,	PUNCT
fumecheng-12829	585	17	m.	m.	NOUN
fumecheng-12829	585	18	,	,	PUNCT
fumecheng-12829	585	19	dammak	dammak	PROPN
fumecheng-12829	585	20	,	,	PUNCT
fumecheng-12829	585	21	f.	f.	PROPN
fumecheng-12829	585	22	,	,	PUNCT
fumecheng-12829	585	23	2019	2019	NUM
fumecheng-12829	585	24	,	,	PUNCT
fumecheng-12829	585	25	geometrically	geometrically	ADV
fumecheng-12829	585	26	non	non	ADJ
fumecheng-12829	585	27	-	-	ADJ
fumecheng-12829	585	28	linear	linear	ADJ
fumecheng-12829	585	29	analysis	analysis	NOUN
fumecheng-12829	585	30	of	of	ADP
fumecheng-12829	585	31	fg	fg	PROPN
fumecheng-12829	585	32	-	-	PUNCT
fumecheng-12829	585	33	cntrc	cntrc	PROPN
fumecheng-12829	585	34	shell	shell	PROPN
fumecheng-12829	585	35	structures	structure	NOUN
fumecheng-12829	585	36	with	with	ADP
fumecheng-12829	585	37	surface	surface	NOUN
fumecheng-12829	585	38	-	-	PUNCT
fumecheng-12829	585	39	bonded	bond	VERB
fumecheng-12829	585	40	piezoelectric	piezoelectric	NOUN
fumecheng-12829	585	41	layers	layer	NOUN
fumecheng-12829	585	42	,	,	PUNCT
fumecheng-12829	585	43	computer	computer	NOUN
fumecheng-12829	585	44	methods	method	NOUN
fumecheng-12829	585	45	in	in	ADP
fumecheng-12829	585	46	applied	applied	ADJ
fumecheng-12829	585	47	mechanics	mechanic	NOUN
fumecheng-12829	585	48	and	and	CCONJ
fumecheng-12829	585	49	engineering	engineering	NOUN
fumecheng-12829	585	50	,	,	PUNCT
fumecheng-12829	585	51	347	347	NUM
fumecheng-12829	585	52	,	,	PUNCT
fumecheng-12829	585	53	pp	pp	ADJ
fumecheng-12829	585	54	.	.	PUNCT
fumecheng-12829	586	1	679	679	NUM
fumecheng-12829	586	2	-	-	SYM
fumecheng-12829	586	3	699	699	NUM
fumecheng-12829	586	4	.	.	PUNCT
fumecheng-12829	587	1	3	3	X
fumecheng-12829	587	2	.	.	X
fumecheng-12829	587	3	mota	mota	NOUN
fumecheng-12829	587	4	,	,	PUNCT
fumecheng-12829	587	5	a.	a.	PROPN
fumecheng-12829	587	6	f.	f.	PROPN
fumecheng-12829	587	7	,	,	PUNCT
fumecheng-12829	587	8	loja	loja	PROPN
fumecheng-12829	587	9	,	,	PUNCT
fumecheng-12829	587	10	m.	m.	NOUN
fumecheng-12829	587	11	a.	a.	PROPN
fumecheng-12829	587	12	r.	r.	PROPN
fumecheng-12829	587	13	,	,	PUNCT
fumecheng-12829	587	14	2019	2019	NUM
fumecheng-12829	587	15	,	,	PUNCT
fumecheng-12829	587	16	mechanical	mechanical	ADJ
fumecheng-12829	587	17	behavior	behavior	NOUN
fumecheng-12829	587	18	of	of	ADP
fumecheng-12829	587	19	porous	porous	ADJ
fumecheng-12829	587	20	functionally	functionally	ADV
fumecheng-12829	587	21	graded	grade	VERB
fumecheng-12829	587	22	nanocomposite	nanocomposite	NOUN
fumecheng-12829	587	23	materials	material	NOUN
fumecheng-12829	587	24	,	,	PUNCT
fumecheng-12829	587	25	journal	journal	NOUN
fumecheng-12829	587	26	of	of	ADP
fumecheng-12829	587	27	carbon	carbon	NOUN
fumecheng-12829	587	28	research	research	NOUN
fumecheng-12829	587	29	c	c	NOUN
fumecheng-12829	587	30	,	,	PUNCT
fumecheng-12829	587	31	5(2	5(2	NUM
fumecheng-12829	587	32	)	)	PUNCT
fumecheng-12829	587	33	,	,	PUNCT
fumecheng-12829	587	34	34	34	NUM
fumecheng-12829	587	35	.	.	NOUN
fumecheng-12829	587	36	4	4	NUM
fumecheng-12829	587	37	.	.	X
fumecheng-12829	588	1	zghal	zghal	PROPN
fumecheng-12829	588	2	,	,	PUNCT
fumecheng-12829	588	3	s.	s.	PROPN
fumecheng-12829	588	4	,	,	PUNCT
fumecheng-12829	588	5	dammak	dammak	PROPN
fumecheng-12829	588	6	,	,	PUNCT
fumecheng-12829	588	7	f.	f.	PROPN
fumecheng-12829	588	8	,	,	PUNCT
fumecheng-12829	588	9	2021	2021	NUM
fumecheng-12829	588	10	,	,	PUNCT
fumecheng-12829	588	11	buckling	buckling	NOUN
fumecheng-12829	588	12	responses	response	NOUN
fumecheng-12829	588	13	of	of	ADP
fumecheng-12829	588	14	porous	porous	ADJ
fumecheng-12829	588	15	structural	structural	ADJ
fumecheng-12829	588	16	components	component	NOUN
fumecheng-12829	588	17	with	with	ADP
fumecheng-12829	588	18	gradient	gradient	ADJ
fumecheng-12829	588	19	power	power	NOUN
fumecheng-12829	588	20	-	-	PUNCT
fumecheng-12829	588	21	based	base	VERB
fumecheng-12829	588	22	and	and	CCONJ
fumecheng-12829	588	23	sigmoid	sigmoid	NOUN
fumecheng-12829	588	24	material	material	NOUN
fumecheng-12829	588	25	variations	variation	NOUN
fumecheng-12829	588	26	under	under	ADP
fumecheng-12829	588	27	different	different	ADJ
fumecheng-12829	588	28	types	type	NOUN
fumecheng-12829	588	29	of	of	ADP
fumecheng-12829	588	30	compression	compression	NOUN
fumecheng-12829	588	31	loads	load	NOUN
fumecheng-12829	588	32	,	,	PUNCT
fumecheng-12829	588	33	composite	composite	ADJ
fumecheng-12829	588	34	structures	structure	NOUN
fumecheng-12829	588	35	,	,	PUNCT
fumecheng-12829	588	36	273	273	NUM
fumecheng-12829	588	37	,	,	PUNCT
fumecheng-12829	588	38	114313	114313	NUM
fumecheng-12829	588	39	.	.	PUNCT
fumecheng-12829	589	1	5	5	X
fumecheng-12829	589	2	.	.	X
fumecheng-12829	589	3	wattanasakulpong	wattanasakulpong	ADJ
fumecheng-12829	589	4	,	,	PUNCT
fumecheng-12829	589	5	n.	n.	NOUN
fumecheng-12829	589	6	,	,	PUNCT
fumecheng-12829	589	7	prusty	prusty	NOUN
fumecheng-12829	589	8	,	,	PUNCT
fumecheng-12829	589	9	b.g	b.g	PROPN
fumecheng-12829	589	10	.	.	PROPN
fumecheng-12829	589	11	,	,	PUNCT
fumecheng-12829	589	12	kelly	kelly	PROPN
fumecheng-12829	589	13	,	,	PUNCT
fumecheng-12829	589	14	d.w	d.w	PROPN
fumecheng-12829	589	15	.	.	PROPN
fumecheng-12829	589	16	,	,	PUNCT
fumecheng-12829	589	17	hoffman	hoffman	PROPN
fumecheng-12829	589	18	,	,	PUNCT
fumecheng-12829	589	19	m.	m.	NOUN
fumecheng-12829	589	20	,	,	PUNCT
fumecheng-12829	589	21	2012	2012	NUM
fumecheng-12829	589	22	,	,	PUNCT
fumecheng-12829	589	23	free	free	ADJ
fumecheng-12829	589	24	vibration	vibration	NOUN
fumecheng-12829	589	25	analysis	analysis	NOUN
fumecheng-12829	589	26	of	of	ADP
fumecheng-12829	589	27	layered	layered	ADJ
fumecheng-12829	589	28	functionally	functionally	ADV
fumecheng-12829	589	29	graded	grade	VERB
fumecheng-12829	589	30	beams	beam	NOUN
fumecheng-12829	589	31	with	with	ADP
fumecheng-12829	589	32	experimental	experimental	ADJ
fumecheng-12829	589	33	validation	validation	NOUN
fumecheng-12829	589	34	,	,	PUNCT
fumecheng-12829	589	35	materials	material	NOUN
fumecheng-12829	589	36	&	&	CCONJ
fumecheng-12829	589	37	design	design	PROPN
fumecheng-12829	589	38	(	(	PUNCT
fumecheng-12829	589	39	1980	1980	NUM
fumecheng-12829	589	40	-	-	SYM
fumecheng-12829	589	41	2015	2015	NUM
fumecheng-12829	589	42	)	)	PUNCT
fumecheng-12829	589	43	,	,	PUNCT
fumecheng-12829	589	44	36	36	NUM
fumecheng-12829	589	45	,	,	PUNCT
fumecheng-12829	589	46	pp	pp	ADJ
fumecheng-12829	589	47	.	.	PUNCT
fumecheng-12829	590	1	182	182	NUM
fumecheng-12829	590	2	-	-	SYM
fumecheng-12829	590	3	190	190	NUM
fumecheng-12829	590	4	.	.	NOUN
fumecheng-12829	591	1	6	6	NUM
fumecheng-12829	591	2	.	.	X
fumecheng-12829	591	3	wattanasakulpong	wattanasakulpong	ADJ
fumecheng-12829	591	4	,	,	PUNCT
fumecheng-12829	591	5	n.	n.	NOUN
fumecheng-12829	591	6	,	,	PUNCT
fumecheng-12829	591	7	ungbhakorn	ungbhakorn	ADJ
fumecheng-12829	591	8	,	,	PUNCT
fumecheng-12829	591	9	v.	v.	ADP
fumecheng-12829	591	10	,	,	PUNCT
fumecheng-12829	591	11	2014	2014	NUM
fumecheng-12829	591	12	,	,	PUNCT
fumecheng-12829	591	13	linear	linear	ADJ
fumecheng-12829	591	14	and	and	CCONJ
fumecheng-12829	591	15	nonlinear	nonlinear	ADJ
fumecheng-12829	591	16	vibration	vibration	NOUN
fumecheng-12829	591	17	analysis	analysis	NOUN
fumecheng-12829	591	18	of	of	ADP
fumecheng-12829	591	19	elastically	elastically	ADV
fumecheng-12829	591	20	restrained	restrain	VERB
fumecheng-12829	591	21	ends	end	NOUN
fumecheng-12829	591	22	fgm	fgm	PROPN
fumecheng-12829	591	23	beams	beam	NOUN
fumecheng-12829	591	24	with	with	ADP
fumecheng-12829	591	25	porosities	porosity	NOUN
fumecheng-12829	591	26	,	,	PUNCT
fumecheng-12829	591	27	aerospace	aerospace	NOUN
fumecheng-12829	591	28	science	science	NOUN
fumecheng-12829	591	29	and	and	CCONJ
fumecheng-12829	591	30	technology	technology	NOUN
fumecheng-12829	591	31	,	,	PUNCT
fumecheng-12829	591	32	32(1	32(1	NUM
fumecheng-12829	591	33	)	)	PUNCT
fumecheng-12829	591	34	,	,	PUNCT
fumecheng-12829	592	1	pp	pp	ADP
fumecheng-12829	592	2	.	.	PUNCT
fumecheng-12829	593	1	111	111	NUM
fumecheng-12829	593	2	-	-	SYM
fumecheng-12829	593	3	120	120	NUM
fumecheng-12829	593	4	.	.	PUNCT
fumecheng-12829	594	1	7	7	X
fumecheng-12829	594	2	.	.	X
fumecheng-12829	594	3	wattanasakulpong	wattanasakulpong	ADJ
fumecheng-12829	594	4	,	,	PUNCT
fumecheng-12829	594	5	n.	n.	NOUN
fumecheng-12829	594	6	,	,	PUNCT
fumecheng-12829	594	7	chaikittiratana	chaikittiratana	PROPN
fumecheng-12829	594	8	,	,	PUNCT
fumecheng-12829	594	9	a.	a.	NOUN
fumecheng-12829	594	10	,	,	PUNCT
fumecheng-12829	594	11	2015	2015	NUM
fumecheng-12829	594	12	,	,	PUNCT
fumecheng-12829	594	13	flexural	flexural	ADJ
fumecheng-12829	594	14	vibration	vibration	NOUN
fumecheng-12829	594	15	of	of	ADP
fumecheng-12829	594	16	imperfect	imperfect	ADJ
fumecheng-12829	594	17	functionally	functionally	ADV
fumecheng-12829	594	18	graded	grade	VERB
fumecheng-12829	594	19	beams	beam	NOUN
fumecheng-12829	594	20	based	base	VERB
fumecheng-12829	594	21	on	on	ADP
fumecheng-12829	594	22	timoshenko	timoshenko	ADJ
fumecheng-12829	594	23	beam	beam	NOUN
fumecheng-12829	594	24	theory	theory	NOUN
fumecheng-12829	594	25	:	:	PUNCT
fumecheng-12829	594	26	chebyshev	chebyshev	NOUN
fumecheng-12829	594	27	collocation	collocation	NOUN
fumecheng-12829	594	28	method	method	NOUN
fumecheng-12829	594	29	,	,	PUNCT
fumecheng-12829	594	30	meccanica	meccanica	PROPN
fumecheng-12829	594	31	,	,	PUNCT
fumecheng-12829	594	32	50	50	NUM
fumecheng-12829	594	33	,	,	PUNCT
fumecheng-12829	594	34	pp	pp	ADJ
fumecheng-12829	594	35	.	.	PUNCT
fumecheng-12829	595	1	1331	1331	NUM
fumecheng-12829	595	2	-	-	SYM
fumecheng-12829	595	3	1342	1342	NUM
fumecheng-12829	595	4	.	.	PUNCT
fumecheng-12829	596	1	8	8	NUM
fumecheng-12829	596	2	.	.	X
fumecheng-12829	597	1	wang	wang	PROPN
fumecheng-12829	597	2	,	,	PUNCT
fumecheng-12829	597	3	y.	y.	PROPN
fumecheng-12829	597	4	,	,	PUNCT
fumecheng-12829	597	5	wu	wu	PROPN
fumecheng-12829	597	6	,	,	PUNCT
fumecheng-12829	597	7	d.	d.	PROPN
fumecheng-12829	597	8	,	,	PUNCT
fumecheng-12829	597	9	2017	2017	NUM
fumecheng-12829	597	10	,	,	PUNCT
fumecheng-12829	597	11	free	free	ADJ
fumecheng-12829	597	12	vibration	vibration	NOUN
fumecheng-12829	597	13	of	of	ADP
fumecheng-12829	597	14	functionally	functionally	ADV
fumecheng-12829	597	15	graded	grade	VERB
fumecheng-12829	597	16	porous	porous	ADJ
fumecheng-12829	597	17	cylindrical	cylindrical	ADJ
fumecheng-12829	597	18	shell	shell	NOUN
fumecheng-12829	597	19	using	use	VERB
fumecheng-12829	597	20	a	a	DET
fumecheng-12829	597	21	sinusoidal	sinusoidal	ADJ
fumecheng-12829	597	22	shear	shear	NOUN
fumecheng-12829	597	23	deformation	deformation	NOUN
fumecheng-12829	597	24	theory	theory	NOUN
fumecheng-12829	597	25	,	,	PUNCT
fumecheng-12829	597	26	aerospace	aerospace	NOUN
fumecheng-12829	597	27	science	science	NOUN
fumecheng-12829	597	28	and	and	CCONJ
fumecheng-12829	597	29	technology	technology	NOUN
fumecheng-12829	597	30	,	,	PUNCT
fumecheng-12829	597	31	66	66	NUM
fumecheng-12829	597	32	,	,	PUNCT
fumecheng-12829	597	33	pp	pp	ADJ
fumecheng-12829	597	34	.	.	PUNCT
fumecheng-12829	598	1	83	83	NUM
fumecheng-12829	598	2	-	-	SYM
fumecheng-12829	598	3	91	91	NUM
fumecheng-12829	598	4	.	.	PUNCT
fumecheng-12829	599	1	9	9	NUM
fumecheng-12829	599	2	.	.	X
fumecheng-12829	599	3	nguyen	nguyen	NOUN
fumecheng-12829	599	4	,	,	PUNCT
fumecheng-12829	599	5	n.	n.	PROPN
fumecheng-12829	599	6	v.	v.	PROPN
fumecheng-12829	599	7	,	,	PUNCT
fumecheng-12829	599	8	nguyen	nguyen	PROPN
fumecheng-12829	599	9	-	-	PUNCT
fumecheng-12829	599	10	xuan	xuan	PROPN
fumecheng-12829	599	11	,	,	PUNCT
fumecheng-12829	599	12	h.	h.	PROPN
fumecheng-12829	599	13	,	,	PUNCT
fumecheng-12829	599	14	lee	lee	PROPN
fumecheng-12829	599	15	,	,	PUNCT
fumecheng-12829	599	16	d.	d.	PROPN
fumecheng-12829	599	17	,	,	PUNCT
fumecheng-12829	599	18	lee	lee	PROPN
fumecheng-12829	599	19	,	,	PUNCT
fumecheng-12829	599	20	j.	j.	PROPN
fumecheng-12829	599	21	,	,	PUNCT
fumecheng-12829	599	22	2020	2020	NUM
fumecheng-12829	599	23	,	,	PUNCT
fumecheng-12829	599	24	a	a	DET
fumecheng-12829	599	25	novel	novel	ADJ
fumecheng-12829	599	26	computational	computational	ADJ
fumecheng-12829	599	27	approach	approach	NOUN
fumecheng-12829	599	28	to	to	ADP
fumecheng-12829	599	29	functionally	functionally	ADV
fumecheng-12829	599	30	graded	grade	VERB
fumecheng-12829	599	31	porous	porous	ADJ
fumecheng-12829	599	32	plates	plate	NOUN
fumecheng-12829	599	33	with	with	ADP
fumecheng-12829	599	34	graphene	graphene	ADJ
fumecheng-12829	599	35	platelets	platelet	NOUN
fumecheng-12829	599	36	reinforcement	reinforcement	NOUN
fumecheng-12829	599	37	,	,	PUNCT
fumecheng-12829	599	38	thin	thin	ADJ
fumecheng-12829	599	39	-	-	PUNCT
fumecheng-12829	599	40	walled	walled	ADJ
fumecheng-12829	599	41	structures	structure	NOUN
fumecheng-12829	599	42	,	,	PUNCT
fumecheng-12829	599	43	150	150	NUM
fumecheng-12829	599	44	,	,	PUNCT
fumecheng-12829	599	45	pp	pp	ADJ
fumecheng-12829	599	46	.	.	PUNCT
fumecheng-12829	600	1	106684	106684	NUM
fumecheng-12829	600	2	.	.	PUNCT
fumecheng-12829	601	1	10	10	NUM
fumecheng-12829	601	2	.	.	PUNCT
fumecheng-12829	602	1	nguyen	nguyen	NOUN
fumecheng-12829	602	2	,	,	PUNCT
fumecheng-12829	602	3	n.	n.	PROPN
fumecheng-12829	602	4	v.	v.	PROPN
fumecheng-12829	602	5	,	,	PUNCT
fumecheng-12829	602	6	nguyen	nguyen	PROPN
fumecheng-12829	602	7	-	-	PUNCT
fumecheng-12829	602	8	xuan	xuan	PROPN
fumecheng-12829	602	9	,	,	PUNCT
fumecheng-12829	602	10	h.	h.	PROPN
fumecheng-12829	602	11	,	,	PUNCT
fumecheng-12829	602	12	lee	lee	PROPN
fumecheng-12829	602	13	,	,	PUNCT
fumecheng-12829	602	14	j.	j.	PROPN
fumecheng-12829	602	15	,	,	PUNCT
fumecheng-12829	602	16	2022	2022	NUM
fumecheng-12829	602	17	,	,	PUNCT
fumecheng-12829	602	18	a	a	DET
fumecheng-12829	602	19	quasi	quasi	ADJ
fumecheng-12829	602	20	-	-	ADJ
fumecheng-12829	602	21	three	three	NUM
fumecheng-12829	602	22	-	-	PUNCT
fumecheng-12829	602	23	dimensional	dimensional	ADJ
fumecheng-12829	602	24	isogeometric	isogeometric	ADJ
fumecheng-12829	602	25	model	model	NOUN
fumecheng-12829	602	26	for	for	ADP
fumecheng-12829	602	27	porous	porous	ADJ
fumecheng-12829	602	28	sandwich	sandwich	NOUN
fumecheng-12829	602	29	functionally	functionally	ADV
fumecheng-12829	602	30	graded	grade	VERB
fumecheng-12829	602	31	plates	plate	NOUN
fumecheng-12829	602	32	reinforced	reinforce	VERB
fumecheng-12829	602	33	with	with	ADP
fumecheng-12829	602	34	graphene	graphene	ADJ
fumecheng-12829	602	35	nanoplatelets	nanoplatelet	NOUN
fumecheng-12829	602	36	,	,	PUNCT
fumecheng-12829	602	37	journal	journal	NOUN
fumecheng-12829	602	38	of	of	ADP
fumecheng-12829	602	39	sandwich	sandwich	NOUN
fumecheng-12829	602	40	structures	structure	NOUN
fumecheng-12829	602	41	&	&	CCONJ
fumecheng-12829	602	42	materials	material	NOUN
fumecheng-12829	602	43	,	,	PUNCT
fumecheng-12829	602	44	24(2	24(2	NUM
fumecheng-12829	602	45	)	)	PUNCT
fumecheng-12829	602	46	,	,	PUNCT
fumecheng-12829	603	1	pp	pp	PROPN
fumecheng-12829	603	2	.	.	PUNCT
fumecheng-12829	604	1	825	825	NUM
fumecheng-12829	604	2	-	-	SYM
fumecheng-12829	604	3	859	859	NUM
fumecheng-12829	604	4	.	.	PROPN
fumecheng-12829	605	1	11	11	NUM
fumecheng-12829	605	2	.	.	X
fumecheng-12829	606	1	thang	thang	PROPN
fumecheng-12829	606	2	,	,	PUNCT
fumecheng-12829	606	3	p.	p.	PROPN
fumecheng-12829	606	4	t.	t.	PROPN
fumecheng-12829	606	5	,	,	PUNCT
fumecheng-12829	606	6	nguyen	nguyen	NOUN
fumecheng-12829	606	7	-	-	PUNCT
fumecheng-12829	606	8	thoi	thoi	NOUN
fumecheng-12829	606	9	,	,	PUNCT
fumecheng-12829	606	10	t.	t.	PROPN
fumecheng-12829	606	11	,	,	PUNCT
fumecheng-12829	606	12	lee	lee	PROPN
fumecheng-12829	606	13	,	,	PUNCT
fumecheng-12829	606	14	d.	d.	PROPN
fumecheng-12829	606	15	,	,	PUNCT
fumecheng-12829	606	16	kang	kang	PROPN
fumecheng-12829	606	17	,	,	PUNCT
fumecheng-12829	606	18	j.	j.	PROPN
fumecheng-12829	606	19	,	,	PUNCT
fumecheng-12829	606	20	lee	lee	PROPN
fumecheng-12829	606	21	,	,	PUNCT
fumecheng-12829	606	22	j.	j.	PROPN
fumecheng-12829	606	23	,	,	PUNCT
fumecheng-12829	606	24	2018	2018	NUM
fumecheng-12829	606	25	,	,	PUNCT
fumecheng-12829	606	26	elastic	elastic	ADJ
fumecheng-12829	606	27	buckling	buckling	NOUN
fumecheng-12829	606	28	and	and	CCONJ
fumecheng-12829	606	29	free	free	ADJ
fumecheng-12829	606	30	vibration	vibration	NOUN
fumecheng-12829	606	31	analyses	analysis	NOUN
fumecheng-12829	606	32	of	of	ADP
fumecheng-12829	606	33	porouscellular	porouscellular	ADJ
fumecheng-12829	606	34	plates	plate	NOUN
fumecheng-12829	606	35	with	with	ADP
fumecheng-12829	606	36	uniform	uniform	ADJ
fumecheng-12829	606	37	and	and	CCONJ
fumecheng-12829	606	38	non	non	ADJ
fumecheng-12829	606	39	-	-	ADJ
fumecheng-12829	606	40	uniform	uniform	ADJ
fumecheng-12829	606	41	porosity	porosity	NOUN
fumecheng-12829	606	42	distributions	distribution	NOUN
fumecheng-12829	606	43	,	,	PUNCT
fumecheng-12829	606	44	aerospace	aerospace	NOUN
fumecheng-12829	606	45	science	science	NOUN
fumecheng-12829	606	46	and	and	CCONJ
fumecheng-12829	606	47	technology	technology	NOUN
fumecheng-12829	606	48	,	,	PUNCT
fumecheng-12829	606	49	79	79	NUM
fumecheng-12829	606	50	,	,	PUNCT
fumecheng-12829	606	51	pp	pp	ADJ
fumecheng-12829	606	52	.	.	PUNCT
fumecheng-12829	607	1	278	278	NUM
fumecheng-12829	607	2	-	-	SYM
fumecheng-12829	607	3	287	287	NUM
fumecheng-12829	607	4	.	.	PUNCT
fumecheng-12829	608	1	12	12	NUM
fumecheng-12829	608	2	.	.	X
fumecheng-12829	608	3	amir	amir	PROPN
fumecheng-12829	608	4	,	,	PUNCT
fumecheng-12829	608	5	m.	m.	NOUN
fumecheng-12829	608	6	,	,	PUNCT
fumecheng-12829	608	7	talha	talha	NOUN
fumecheng-12829	608	8	,	,	PUNCT
fumecheng-12829	608	9	m.	m.	NOUN
fumecheng-12829	608	10	,	,	PUNCT
fumecheng-12829	608	11	2019	2019	NUM
fumecheng-12829	608	12	,	,	PUNCT
fumecheng-12829	608	13	nonlinear	nonlinear	ADJ
fumecheng-12829	608	14	vibration	vibration	NOUN
fumecheng-12829	608	15	characteristics	characteristic	NOUN
fumecheng-12829	608	16	of	of	ADP
fumecheng-12829	608	17	shear	shear	NOUN
fumecheng-12829	608	18	deformable	deformable	ADJ
fumecheng-12829	608	19	functionally	functionally	ADV
fumecheng-12829	608	20	graded	grade	VERB
fumecheng-12829	608	21	curved	curved	ADJ
fumecheng-12829	608	22	panels	panel	NOUN
fumecheng-12829	608	23	with	with	ADP
fumecheng-12829	608	24	porosity	porosity	NOUN
fumecheng-12829	608	25	including	include	VERB
fumecheng-12829	608	26	temperature	temperature	NOUN
fumecheng-12829	608	27	effects	effect	NOUN
fumecheng-12829	608	28	,	,	PUNCT
fumecheng-12829	608	29	international	international	ADJ
fumecheng-12829	608	30	journal	journal	NOUN
fumecheng-12829	608	31	of	of	ADP
fumecheng-12829	608	32	pressure	pressure	NOUN
fumecheng-12829	608	33	vessels	vessel	NOUN
fumecheng-12829	608	34	and	and	CCONJ
fumecheng-12829	608	35	piping	piping	NOUN
fumecheng-12829	608	36	,	,	PUNCT
fumecheng-12829	608	37	172	172	NUM
fumecheng-12829	608	38	,	,	PUNCT
fumecheng-12829	608	39	pp	pp	ADJ
fumecheng-12829	608	40	.	.	PUNCT
fumecheng-12829	609	1	28	28	NUM
fumecheng-12829	609	2	-	-	SYM
fumecheng-12829	609	3	41	41	NUM
fumecheng-12829	609	4	.	.	PUNCT
fumecheng-12829	610	1	porosity	porosity	NOUN
fumecheng-12829	610	2	effects	effect	NOUN
fumecheng-12829	610	3	on	on	ADP
fumecheng-12829	610	4	nonlinear	nonlinear	ADJ
fumecheng-12829	610	5	static	static	ADJ
fumecheng-12829	610	6	performances	performance	NOUN
fumecheng-12829	610	7	of	of	ADP
fumecheng-12829	610	8	fg	fg	PROPN
fumecheng-12829	610	9	shells	shell	NOUN
fumecheng-12829	610	10	considering	consider	VERB
fumecheng-12829	610	11	thickness	thickness	NOUN
fumecheng-12829	610	12	stretching	stretch	VERB
fumecheng-12829	610	13	857	857	NUM
fumecheng-12829	610	14	13	13	NUM
fumecheng-12829	610	15	.	.	PUNCT
fumecheng-12829	611	1	zghal	zghal	PROPN
fumecheng-12829	611	2	,	,	PUNCT
fumecheng-12829	611	3	s.	s.	PROPN
fumecheng-12829	611	4	,	,	PUNCT
fumecheng-12829	611	5	dammak	dammak	PROPN
fumecheng-12829	611	6	,	,	PUNCT
fumecheng-12829	611	7	f.	f.	PROPN
fumecheng-12829	611	8	,	,	PUNCT
fumecheng-12829	611	9	2021	2021	NUM
fumecheng-12829	611	10	,	,	PUNCT
fumecheng-12829	611	11	buckling	buckling	NOUN
fumecheng-12829	611	12	responses	response	NOUN
fumecheng-12829	611	13	of	of	ADP
fumecheng-12829	611	14	porous	porous	ADJ
fumecheng-12829	611	15	structural	structural	ADJ
fumecheng-12829	611	16	components	component	NOUN
fumecheng-12829	611	17	with	with	ADP
fumecheng-12829	611	18	gradient	gradient	ADJ
fumecheng-12829	611	19	power	power	NOUN
fumecheng-12829	611	20	-	-	PUNCT
fumecheng-12829	611	21	based	base	VERB
fumecheng-12829	611	22	and	and	CCONJ
fumecheng-12829	611	23	sigmoid	sigmoid	NOUN
fumecheng-12829	611	24	material	material	NOUN
fumecheng-12829	611	25	variations	variation	NOUN
fumecheng-12829	611	26	under	under	ADP
fumecheng-12829	611	27	different	different	ADJ
fumecheng-12829	611	28	types	type	NOUN
fumecheng-12829	611	29	of	of	ADP
fumecheng-12829	611	30	compression	compression	NOUN
fumecheng-12829	611	31	loads	load	NOUN
fumecheng-12829	611	32	,	,	PUNCT
fumecheng-12829	611	33	composite	composite	ADJ
fumecheng-12829	611	34	structures	structure	NOUN
fumecheng-12829	611	35	,	,	PUNCT
fumecheng-12829	611	36	273	273	NUM
fumecheng-12829	611	37	,	,	PUNCT
fumecheng-12829	611	38	114313	114313	NUM
fumecheng-12829	611	39	.	.	PUNCT
fumecheng-12829	612	1	14	14	NUM
fumecheng-12829	612	2	.	.	PUNCT
fumecheng-12829	613	1	zghal	zghal	PROPN
fumecheng-12829	613	2	,	,	PUNCT
fumecheng-12829	613	3	s.	s.	PROPN
fumecheng-12829	613	4	,	,	PUNCT
fumecheng-12829	613	5	dammak	dammak	PROPN
fumecheng-12829	613	6	,	,	PUNCT
fumecheng-12829	613	7	f.	f.	PROPN
fumecheng-12829	613	8	,	,	PUNCT
fumecheng-12829	613	9	2021	2021	NUM
fumecheng-12829	613	10	,	,	PUNCT
fumecheng-12829	613	11	vibration	vibration	NOUN
fumecheng-12829	613	12	characteristics	characteristic	NOUN
fumecheng-12829	613	13	of	of	ADP
fumecheng-12829	613	14	plates	plate	NOUN
fumecheng-12829	613	15	and	and	CCONJ
fumecheng-12829	613	16	shells	shell	NOUN
fumecheng-12829	613	17	with	with	ADP
fumecheng-12829	613	18	functionally	functionally	ADV
fumecheng-12829	613	19	graded	grade	VERB
fumecheng-12829	613	20	pores	pore	NOUN
fumecheng-12829	613	21	imperfections	imperfection	NOUN
fumecheng-12829	613	22	using	use	VERB
fumecheng-12829	613	23	an	an	DET
fumecheng-12829	613	24	enhanced	enhance	VERB
fumecheng-12829	613	25	finite	finite	ADJ
fumecheng-12829	613	26	shell	shell	NOUN
fumecheng-12829	613	27	element	element	NOUN
fumecheng-12829	613	28	,	,	PUNCT
fumecheng-12829	613	29	computers	computer	NOUN
fumecheng-12829	613	30	&	&	CCONJ
fumecheng-12829	613	31	mathematics	mathematics	PROPN
fumecheng-12829	613	32	with	with	ADP
fumecheng-12829	613	33	applications	application	NOUN
fumecheng-12829	613	34	,	,	PUNCT
fumecheng-12829	613	35	99	99	NUM
fumecheng-12829	613	36	,	,	PUNCT
fumecheng-12829	613	37	pp	pp	ADJ
fumecheng-12829	613	38	.	.	PUNCT
fumecheng-12829	614	1	52	52	NUM
fumecheng-12829	614	2	-	-	SYM
fumecheng-12829	614	3	72	72	NUM
fumecheng-12829	614	4	.	.	NOUN
fumecheng-12829	615	1	15	15	NUM
fumecheng-12829	615	2	.	.	PUNCT
fumecheng-12829	616	1	phuong	phuong	PROPN
fumecheng-12829	616	2	,	,	PUNCT
fumecheng-12829	616	3	n.t.b	n.t.b	PROPN
fumecheng-12829	616	4	.	.	PROPN
fumecheng-12829	616	5	,	,	PUNCT
fumecheng-12829	616	6	tu	tu	PROPN
fumecheng-12829	616	7	,	,	PUNCT
fumecheng-12829	616	8	t.m	t.m	PROPN
fumecheng-12829	616	9	.	.	PROPN
fumecheng-12829	616	10	,	,	PUNCT
fumecheng-12829	616	11	phuong	phuong	PROPN
fumecheng-12829	616	12	,	,	PUNCT
fumecheng-12829	616	13	h.	h.	PROPN
fumecheng-12829	616	14	t.	t.	PROPN
fumecheng-12829	616	15	,	,	PUNCT
fumecheng-12829	616	16	van	van	PROPN
fumecheng-12829	616	17	long	long	ADV
fumecheng-12829	616	18	,	,	PUNCT
fumecheng-12829	616	19	n.	n.	NOUN
fumecheng-12829	616	20	,	,	PUNCT
fumecheng-12829	616	21	2019	2019	NUM
fumecheng-12829	616	22	,	,	PUNCT
fumecheng-12829	616	23	bending	bend	VERB
fumecheng-12829	616	24	analysis	analysis	NOUN
fumecheng-12829	616	25	of	of	ADP
fumecheng-12829	616	26	functionally	functionally	ADV
fumecheng-12829	616	27	graded	grade	VERB
fumecheng-12829	616	28	beam	beam	NOUN
fumecheng-12829	616	29	with	with	ADP
fumecheng-12829	616	30	porosities	porosity	NOUN
fumecheng-12829	616	31	resting	rest	VERB
fumecheng-12829	616	32	on	on	ADP
fumecheng-12829	616	33	elastic	elastic	ADJ
fumecheng-12829	616	34	foundation	foundation	NOUN
fumecheng-12829	616	35	based	base	VERB
fumecheng-12829	616	36	on	on	ADP
fumecheng-12829	616	37	neutral	neutral	ADJ
fumecheng-12829	616	38	surface	surface	NOUN
fumecheng-12829	616	39	position	position	NOUN
fumecheng-12829	616	40	,	,	PUNCT
fumecheng-12829	616	41	journal	journal	NOUN
fumecheng-12829	616	42	of	of	ADP
fumecheng-12829	616	43	science	science	NOUN
fumecheng-12829	616	44	and	and	CCONJ
fumecheng-12829	616	45	technology	technology	NOUN
fumecheng-12829	616	46	in	in	ADP
fumecheng-12829	616	47	civil	civil	ADJ
fumecheng-12829	616	48	engineering	engineering	NOUN
fumecheng-12829	616	49	(	(	PUNCT
fumecheng-12829	616	50	jstce)-huce	jstce)-huce	PROPN
fumecheng-12829	616	51	,	,	PUNCT
fumecheng-12829	616	52	13(1	13(1	NUM
fumecheng-12829	616	53	)	)	PUNCT
fumecheng-12829	616	54	,	,	PUNCT
fumecheng-12829	616	55	pp	pp	PROPN
fumecheng-12829	616	56	.	.	PUNCT
fumecheng-12829	617	1	33	33	NUM
fumecheng-12829	617	2	-	-	SYM
fumecheng-12829	617	3	45	45	NUM
fumecheng-12829	617	4	.	.	PUNCT
fumecheng-12829	618	1	16	16	NUM
fumecheng-12829	618	2	.	.	PUNCT
fumecheng-12829	618	3	binh	binh	PROPN
fumecheng-12829	618	4	,	,	PUNCT
fumecheng-12829	618	5	c.	c.	PROPN
fumecheng-12829	618	6	t.	t.	PROPN
fumecheng-12829	618	7	,	,	PUNCT
fumecheng-12829	618	8	van	van	PROPN
fumecheng-12829	618	9	long	long	ADV
fumecheng-12829	618	10	,	,	PUNCT
fumecheng-12829	618	11	n.	n.	PROPN
fumecheng-12829	618	12	,	,	PUNCT
fumecheng-12829	618	13	tu	tu	PROPN
fumecheng-12829	618	14	,	,	PUNCT
fumecheng-12829	618	15	t.	t.	PROPN
fumecheng-12829	618	16	m.	m.	NOUN
fumecheng-12829	618	17	,	,	PUNCT
fumecheng-12829	618	18	minh	minh	PROPN
fumecheng-12829	618	19	,	,	PUNCT
fumecheng-12829	618	20	p.	p.	NOUN
fumecheng-12829	618	21	q.	q.	PROPN
fumecheng-12829	618	22	,	,	PUNCT
fumecheng-12829	618	23	2021	2021	NUM
fumecheng-12829	618	24	,	,	PUNCT
fumecheng-12829	618	25	nonlinear	nonlinear	ADJ
fumecheng-12829	618	26	vibration	vibration	NOUN
fumecheng-12829	618	27	of	of	ADP
fumecheng-12829	618	28	functionally	functionally	ADV
fumecheng-12829	618	29	graded	grade	VERB
fumecheng-12829	618	30	porous	porous	ADJ
fumecheng-12829	618	31	variable	variable	ADJ
fumecheng-12829	618	32	thickness	thickness	NOUN
fumecheng-12829	618	33	toroidal	toroidal	ADJ
fumecheng-12829	618	34	shell	shell	NOUN
fumecheng-12829	618	35	segments	segment	NOUN
fumecheng-12829	618	36	surrounded	surround	VERB
fumecheng-12829	618	37	by	by	ADP
fumecheng-12829	618	38	elastic	elastic	ADJ
fumecheng-12829	618	39	medium	medium	NOUN
fumecheng-12829	618	40	including	include	VERB
fumecheng-12829	618	41	the	the	DET
fumecheng-12829	618	42	thermal	thermal	ADJ
fumecheng-12829	618	43	effect	effect	NOUN
fumecheng-12829	618	44	,	,	PUNCT
fumecheng-12829	618	45	composite	composite	ADJ
fumecheng-12829	618	46	structures	structure	NOUN
fumecheng-12829	618	47	,	,	PUNCT
fumecheng-12829	618	48	255	255	NUM
fumecheng-12829	618	49	,	,	PUNCT
fumecheng-12829	618	50	112891	112891	NUM
fumecheng-12829	618	51	.	.	PUNCT
fumecheng-12829	619	1	17	17	NUM
fumecheng-12829	619	2	.	.	PUNCT
fumecheng-12829	620	1	milić	milić	PROPN
fumecheng-12829	620	2	p.	p.	PROPN
fumecheng-12829	620	3	,	,	PUNCT
fumecheng-12829	620	4	marinković	marinković	PROPN
fumecheng-12829	620	5	d.	d.	PROPN
fumecheng-12829	620	6	,	,	PUNCT
fumecheng-12829	620	7	klinge	klinge	PROPN
fumecheng-12829	620	8	s.	s.	PROPN
fumecheng-12829	620	9	,	,	PUNCT
fumecheng-12829	620	10	ćojbašić	ćojbašić	PROPN
fumecheng-12829	620	11	ž	ž	PROPN
fumecheng-12829	620	12	.	.	PROPN
fumecheng-12829	620	13	,	,	PUNCT
fumecheng-12829	620	14	2023	2023	NUM
fumecheng-12829	620	15	,	,	PUNCT
fumecheng-12829	620	16	reissner	reissner	NOUN
fumecheng-12829	620	17	-	-	PUNCT
fumecheng-12829	620	18	mindlin	mindlin	NOUN
fumecheng-12829	620	19	based	base	VERB
fumecheng-12829	620	20	isogeometric	isogeometric	ADJ
fumecheng-12829	620	21	finite	finite	PROPN
fumecheng-12829	620	22	element	element	NOUN
fumecheng-12829	620	23	formulation	formulation	NOUN
fumecheng-12829	620	24	for	for	ADP
fumecheng-12829	620	25	piezoelectric	piezoelectric	ADJ
fumecheng-12829	620	26	active	active	ADJ
fumecheng-12829	620	27	laminated	laminated	ADJ
fumecheng-12829	620	28	shells	shell	NOUN
fumecheng-12829	620	29	,	,	PUNCT
fumecheng-12829	620	30	tehnicki	tehnicki	NOUN
fumecheng-12829	620	31	vjesnik	vjesnik	PROPN
fumecheng-12829	620	32	,	,	PUNCT
fumecheng-12829	620	33	30(2	30(2	NUM
fumecheng-12829	620	34	)	)	PUNCT
fumecheng-12829	620	35	,	,	PUNCT
fumecheng-12829	620	36	pp	pp	PROPN
fumecheng-12829	620	37	.	.	PUNCT
fumecheng-12829	621	1	416	416	NUM
fumecheng-12829	621	2	-	-	SYM
fumecheng-12829	621	3	425	425	NUM
fumecheng-12829	621	4	.	.	NOUN
fumecheng-12829	622	1	18	18	NUM
fumecheng-12829	622	2	.	.	X
fumecheng-12829	622	3	rama	rama	PROPN
fumecheng-12829	622	4	g.	g.	PROPN
fumecheng-12829	622	5	,	,	PUNCT
fumecheng-12829	622	6	marinkovic	marinkovic	PROPN
fumecheng-12829	622	7	d.	d.	PROPN
fumecheng-12829	622	8	,	,	PUNCT
fumecheng-12829	622	9	zehn	zehn	PROPN
fumecheng-12829	622	10	m.	m.	NOUN
fumecheng-12829	622	11	,	,	PUNCT
fumecheng-12829	622	12	2018	2018	NUM
fumecheng-12829	622	13	,	,	PUNCT
fumecheng-12829	622	14	high	high	ADJ
fumecheng-12829	622	15	performance	performance	NOUN
fumecheng-12829	622	16	3	3	NUM
fumecheng-12829	622	17	-	-	PUNCT
fumecheng-12829	622	18	node	node	ADJ
fumecheng-12829	622	19	shell	shell	NOUN
fumecheng-12829	622	20	element	element	NOUN
fumecheng-12829	622	21	for	for	ADP
fumecheng-12829	622	22	linear	linear	PROPN
fumecheng-12829	622	23	and	and	CCONJ
fumecheng-12829	622	24	geometrically	geometrically	ADV
fumecheng-12829	622	25	nonlinear	nonlinear	VERB
fumecheng-12829	622	26	analysis	analysis	NOUN
fumecheng-12829	622	27	of	of	ADP
fumecheng-12829	622	28	composite	composite	ADJ
fumecheng-12829	622	29	laminates	laminate	NOUN
fumecheng-12829	622	30	,	,	PUNCT
fumecheng-12829	622	31	composites	composite	VERB
fumecheng-12829	622	32	part	part	NOUN
fumecheng-12829	622	33	b	b	NOUN
fumecheng-12829	622	34	:	:	PUNCT
fumecheng-12829	622	35	engineering	engineering	NOUN
fumecheng-12829	622	36	,	,	PUNCT
fumecheng-12829	622	37	151	151	NUM
fumecheng-12829	622	38	,	,	PUNCT
fumecheng-12829	622	39	pp	pp	ADJ
fumecheng-12829	622	40	.	.	PUNCT
fumecheng-12829	623	1	118	118	NUM
fumecheng-12829	623	2	-	-	SYM
fumecheng-12829	623	3	126	126	NUM
fumecheng-12829	623	4	.	.	PUNCT
fumecheng-12829	624	1	19	19	NUM
fumecheng-12829	624	2	.	.	PUNCT
fumecheng-12829	625	1	abid	abid	PROPN
fumecheng-12829	625	2	,	,	PUNCT
fumecheng-12829	625	3	m.	m.	NOUN
fumecheng-12829	625	4	,	,	PUNCT
fumecheng-12829	625	5	koubaa	koubaa	PROPN
fumecheng-12829	625	6	,	,	PUNCT
fumecheng-12829	625	7	s.	s.	PROPN
fumecheng-12829	625	8	,	,	PUNCT
fumecheng-12829	625	9	abdelkefi	abdelkefi	PROPN
fumecheng-12829	625	10	,	,	PUNCT
fumecheng-12829	625	11	a.	a.	NOUN
fumecheng-12829	625	12	,	,	PUNCT
fumecheng-12829	625	13	frikha	frikha	PROPN
fumecheng-12829	625	14	,	,	PUNCT
fumecheng-12829	625	15	a.	a.	NOUN
fumecheng-12829	625	16	,	,	PUNCT
fumecheng-12829	625	17	dammak	dammak	PROPN
fumecheng-12829	625	18	,	,	PUNCT
fumecheng-12829	625	19	f.	f.	PROPN
fumecheng-12829	625	20	,	,	PUNCT
fumecheng-12829	625	21	2021	2021	NUM
fumecheng-12829	625	22	,	,	PUNCT
fumecheng-12829	625	23	numerical	numerical	ADJ
fumecheng-12829	625	24	modeling	modeling	NOUN
fumecheng-12829	625	25	of	of	ADP
fumecheng-12829	625	26	porous	porous	ADJ
fumecheng-12829	625	27	functionally	functionally	ADV
fumecheng-12829	625	28	graded	grade	VERB
fumecheng-12829	625	29	shells	shell	NOUN
fumecheng-12829	625	30	response	response	NOUN
fumecheng-12829	625	31	in	in	ADP
fumecheng-12829	625	32	large	large	ADJ
fumecheng-12829	625	33	deflection	deflection	NOUN
fumecheng-12829	625	34	,	,	PUNCT
fumecheng-12829	625	35	computers	computer	NOUN
fumecheng-12829	625	36	&	&	CCONJ
fumecheng-12829	625	37	mathematics	mathematics	PROPN
fumecheng-12829	625	38	with	with	ADP
fumecheng-12829	625	39	applications	application	NOUN
fumecheng-12829	625	40	,	,	PUNCT
fumecheng-12829	625	41	104	104	NUM
fumecheng-12829	625	42	,	,	PUNCT
fumecheng-12829	625	43	pp	pp	ADJ
fumecheng-12829	625	44	.	.	PUNCT
fumecheng-12829	626	1	59	59	NUM
fumecheng-12829	626	2	-	-	SYM
fumecheng-12829	626	3	70	70	NUM
fumecheng-12829	626	4	.	.	PUNCT
fumecheng-12829	627	1	20	20	NUM
fumecheng-12829	627	2	.	.	X
fumecheng-12829	628	1	simo	simo	PROPN
fumecheng-12829	628	2	,	,	PUNCT
fumecheng-12829	628	3	j.	j.	PROPN
fumecheng-12829	628	4	c.	c.	PROPN
fumecheng-12829	628	5	,	,	PUNCT
fumecheng-12829	628	6	rifai	rifai	NOUN
fumecheng-12829	628	7	,	,	PUNCT
fumecheng-12829	628	8	m.	m.	NOUN
fumecheng-12829	628	9	,	,	PUNCT
fumecheng-12829	628	10	1990	1990	NUM
fumecheng-12829	628	11	,	,	PUNCT
fumecheng-12829	628	12	a	a	DET
fumecheng-12829	628	13	class	class	NOUN
fumecheng-12829	628	14	of	of	ADP
fumecheng-12829	628	15	mixed	mixed	ADJ
fumecheng-12829	628	16	assumed	assume	VERB
fumecheng-12829	628	17	strain	strain	NOUN
fumecheng-12829	628	18	methods	method	NOUN
fumecheng-12829	628	19	and	and	CCONJ
fumecheng-12829	628	20	the	the	DET
fumecheng-12829	628	21	method	method	NOUN
fumecheng-12829	628	22	of	of	ADP
fumecheng-12829	628	23	incompatible	incompatible	ADJ
fumecheng-12829	628	24	modes	mode	NOUN
fumecheng-12829	628	25	,	,	PUNCT
fumecheng-12829	628	26	international	international	ADJ
fumecheng-12829	628	27	journal	journal	NOUN
fumecheng-12829	628	28	for	for	ADP
fumecheng-12829	628	29	numerical	numerical	ADJ
fumecheng-12829	628	30	methods	method	NOUN
fumecheng-12829	628	31	in	in	ADP
fumecheng-12829	628	32	engineering	engineering	NOUN
fumecheng-12829	628	33	,	,	PUNCT
fumecheng-12829	628	34	29(8	29(8	NUM
fumecheng-12829	628	35	)	)	PUNCT
fumecheng-12829	628	36	,	,	PUNCT
fumecheng-12829	629	1	pp	pp	ADP
fumecheng-12829	629	2	.	.	PUNCT
fumecheng-12829	630	1	1595	1595	NUM
fumecheng-12829	630	2	-	-	SYM
fumecheng-12829	630	3	1638	1638	NUM
fumecheng-12829	630	4	.	.	PUNCT
fumecheng-12829	631	1	21	21	NUM
fumecheng-12829	631	2	.	.	X
fumecheng-12829	631	3	beheshti	beheshti	NOUN
fumecheng-12829	631	4	,	,	PUNCT
fumecheng-12829	631	5	a.	a.	NOUN
fumecheng-12829	631	6	,	,	PUNCT
fumecheng-12829	631	7	ramezani	ramezani	PROPN
fumecheng-12829	631	8	,	,	PUNCT
fumecheng-12829	631	9	s.	s.	PROPN
fumecheng-12829	631	10	,	,	PUNCT
fumecheng-12829	631	11	2015	2015	NUM
fumecheng-12829	631	12	,	,	PUNCT
fumecheng-12829	631	13	nonlinear	nonlinear	ADJ
fumecheng-12829	631	14	finite	finite	ADJ
fumecheng-12829	631	15	element	element	NOUN
fumecheng-12829	631	16	analysis	analysis	NOUN
fumecheng-12829	631	17	of	of	ADP
fumecheng-12829	631	18	functionally	functionally	ADV
fumecheng-12829	631	19	graded	grade	VERB
fumecheng-12829	631	20	structures	structure	NOUN
fumecheng-12829	631	21	by	by	ADP
fumecheng-12829	631	22	enhanced	enhance	VERB
fumecheng-12829	631	23	assumed	assume	VERB
fumecheng-12829	631	24	strain	strain	NOUN
fumecheng-12829	631	25	shell	shell	NOUN
fumecheng-12829	631	26	elements	element	NOUN
fumecheng-12829	631	27	,	,	PUNCT
fumecheng-12829	631	28	applied	apply	VERB
fumecheng-12829	631	29	mathematical	mathematical	ADJ
fumecheng-12829	631	30	modelling	modelling	NOUN
fumecheng-12829	631	31	,	,	PUNCT
fumecheng-12829	631	32	39(13	39(13	NUM
fumecheng-12829	631	33	)	)	PUNCT
fumecheng-12829	631	34	,	,	PUNCT
fumecheng-12829	631	35	pp	pp	ADV
fumecheng-12829	631	36	.	.	PUNCT
fumecheng-12829	632	1	3690	3690	NUM
fumecheng-12829	632	2	-	-	SYM
fumecheng-12829	632	3	3703	3703	NUM
fumecheng-12829	632	4	.	.	PUNCT
fumecheng-12829	633	1	22	22	NUM
fumecheng-12829	633	2	.	.	PUNCT
fumecheng-12829	633	3	nguyen	nguyen	NOUN
fumecheng-12829	633	4	,	,	PUNCT
fumecheng-12829	633	5	n.	n.	PROPN
fumecheng-12829	633	6	v.	v.	PROPN
fumecheng-12829	633	7	,	,	PUNCT
fumecheng-12829	633	8	tran	tran	PROPN
fumecheng-12829	633	9	,	,	PUNCT
fumecheng-12829	633	10	k.	k.	PROPN
fumecheng-12829	633	11	q.	q.	PROPN
fumecheng-12829	633	12	,	,	PUNCT
fumecheng-12829	633	13	lee	lee	PROPN
fumecheng-12829	633	14	,	,	PUNCT
fumecheng-12829	633	15	j.	j.	PROPN
fumecheng-12829	633	16	,	,	PUNCT
fumecheng-12829	633	17	nguyen	nguyen	PROPN
fumecheng-12829	633	18	-	-	PUNCT
fumecheng-12829	633	19	xuan	xuan	PROPN
fumecheng-12829	633	20	,	,	PUNCT
fumecheng-12829	633	21	h.	h.	PROPN
fumecheng-12829	633	22	,	,	PUNCT
fumecheng-12829	633	23	2024	2024	NUM
fumecheng-12829	633	24	,	,	PUNCT
fumecheng-12829	633	25	nonlocal	nonlocal	ADJ
fumecheng-12829	633	26	strain	strain	VERB
fumecheng-12829	633	27	gradient	gradient	NOUN
fumecheng-12829	633	28	-	-	PUNCT
fumecheng-12829	633	29	based	base	VERB
fumecheng-12829	633	30	isogeometric	isogeometric	ADJ
fumecheng-12829	633	31	analysis	analysis	NOUN
fumecheng-12829	633	32	of	of	ADP
fumecheng-12829	633	33	graphene	graphene	NOUN
fumecheng-12829	633	34	platelets	platelet	NOUN
fumecheng-12829	633	35	-	-	PUNCT
fumecheng-12829	633	36	reinforced	reinforce	VERB
fumecheng-12829	633	37	functionally	functionally	ADV
fumecheng-12829	633	38	graded	grade	VERB
fumecheng-12829	633	39	triply	triply	ADV
fumecheng-12829	633	40	periodic	periodic	ADJ
fumecheng-12829	633	41	minimal	minimal	ADJ
fumecheng-12829	633	42	surface	surface	NOUN
fumecheng-12829	633	43	nanoplates	nanoplate	NOUN
fumecheng-12829	633	44	,	,	PUNCT
fumecheng-12829	633	45	applied	apply	VERB
fumecheng-12829	633	46	mathematics	mathematic	NOUN
fumecheng-12829	633	47	and	and	CCONJ
fumecheng-12829	633	48	computation	computation	NOUN
fumecheng-12829	633	49	,	,	PUNCT
fumecheng-12829	633	50	466	466	NUM
fumecheng-12829	633	51	,	,	PUNCT
fumecheng-12829	633	52	128461	128461	NUM
fumecheng-12829	633	53	.	.	PUNCT
fumecheng-12829	634	1	23	23	NUM
fumecheng-12829	634	2	.	.	X
fumecheng-12829	635	1	tran	tran	PROPN
fumecheng-12829	635	2	,	,	PUNCT
fumecheng-12829	635	3	k.	k.	PROPN
fumecheng-12829	635	4	q.	q.	PROPN
fumecheng-12829	635	5	,	,	PUNCT
fumecheng-12829	635	6	hoang	hoang	PROPN
fumecheng-12829	635	7	,	,	PUNCT
fumecheng-12829	635	8	t.	t.	PROPN
fumecheng-12829	635	9	d.	d.	PROPN
fumecheng-12829	635	10	,	,	PUNCT
fumecheng-12829	635	11	lee	lee	PROPN
fumecheng-12829	635	12	,	,	PUNCT
fumecheng-12829	635	13	j.	j.	PROPN
fumecheng-12829	635	14	,	,	PUNCT
fumecheng-12829	635	15	nguyen	nguyen	PROPN
fumecheng-12829	635	16	-	-	PUNCT
fumecheng-12829	635	17	xuan	xuan	PROPN
fumecheng-12829	635	18	,	,	PUNCT
fumecheng-12829	635	19	h.	h.	PROPN
fumecheng-12829	635	20	,	,	PUNCT
fumecheng-12829	635	21	2024	2024	NUM
fumecheng-12829	635	22	,	,	PUNCT
fumecheng-12829	635	23	three	three	NUM
fumecheng-12829	635	24	novel	novel	ADJ
fumecheng-12829	635	25	computational	computational	ADJ
fumecheng-12829	635	26	modeling	modeling	NOUN
fumecheng-12829	635	27	frameworks	framework	NOUN
fumecheng-12829	635	28	of	of	ADP
fumecheng-12829	635	29	3dprinted	3dprinted	NUM
fumecheng-12829	635	30	graphene	graphene	NOUN
fumecheng-12829	635	31	platelets	platelet	NOUN
fumecheng-12829	635	32	reinforced	reinforce	VERB
fumecheng-12829	635	33	functionally	functionally	ADV
fumecheng-12829	635	34	graded	grade	VERB
fumecheng-12829	635	35	triply	triply	ADV
fumecheng-12829	635	36	periodic	periodic	ADJ
fumecheng-12829	635	37	minimal	minimal	ADJ
fumecheng-12829	635	38	surface	surface	NOUN
fumecheng-12829	635	39	(	(	PUNCT
fumecheng-12829	635	40	gplr	gplr	NOUN
fumecheng-12829	635	41	-	-	PUNCT
fumecheng-12829	635	42	fg	fg	NOUN
fumecheng-12829	635	43	-	-	PUNCT
fumecheng-12829	635	44	tpms	tpms	NOUN
fumecheng-12829	635	45	)	)	PUNCT
fumecheng-12829	635	46	plates	plate	NOUN
fumecheng-12829	635	47	,	,	PUNCT
fumecheng-12829	635	48	applied	apply	VERB
fumecheng-12829	635	49	mathematical	mathematical	ADJ
fumecheng-12829	635	50	modelling	modelling	NOUN
fumecheng-12829	635	51	,	,	PUNCT
fumecheng-12829	635	52	126	126	NUM
fumecheng-12829	635	53	,	,	PUNCT
fumecheng-12829	635	54	pp	pp	ADJ
fumecheng-12829	635	55	.	.	PUNCT
fumecheng-12829	636	1	667	667	NUM
fumecheng-12829	636	2	-	-	SYM
fumecheng-12829	636	3	697	697	NUM
fumecheng-12829	636	4	.	.	NUM
fumecheng-12829	637	1	24	24	NUM
fumecheng-12829	637	2	.	.	PUNCT
fumecheng-12829	637	3	fotiu	fotiu	NOUN
fumecheng-12829	637	4	,	,	PUNCT
fumecheng-12829	637	5	p.	p.	NOUN
fumecheng-12829	637	6	a.	a.	NOUN
fumecheng-12829	637	7	,	,	PUNCT
fumecheng-12829	637	8	murin	murin	NOUN
fumecheng-12829	637	9	,	,	PUNCT
fumecheng-12829	637	10	j.	j.	PROPN
fumecheng-12829	637	11	,	,	PUNCT
fumecheng-12829	637	12	2021	2021	NUM
fumecheng-12829	637	13	,	,	PUNCT
fumecheng-12829	637	14	a	a	DET
fumecheng-12829	637	15	novel	novel	ADJ
fumecheng-12829	637	16	gbt	gbt	NOUN
fumecheng-12829	637	17	-	-	PUNCT
fumecheng-12829	637	18	formulation	formulation	NOUN
fumecheng-12829	637	19	for	for	ADP
fumecheng-12829	637	20	thin	thin	ADJ
fumecheng-12829	637	21	-	-	PUNCT
fumecheng-12829	637	22	walled	wall	VERB
fumecheng-12829	637	23	fgm	fgm	PROPN
fumecheng-12829	637	24	-	-	PUNCT
fumecheng-12829	637	25	beam	beam	NOUN
fumecheng-12829	637	26	-	-	PUNCT
fumecheng-12829	637	27	structures	structure	NOUN
fumecheng-12829	637	28	based	base	VERB
fumecheng-12829	637	29	on	on	ADP
fumecheng-12829	637	30	a	a	DET
fumecheng-12829	637	31	reference	reference	NOUN
fumecheng-12829	637	32	beam	beam	NOUN
fumecheng-12829	637	33	problem	problem	NOUN
fumecheng-12829	637	34	,	,	PUNCT
fumecheng-12829	637	35	composite	composite	ADJ
fumecheng-12829	637	36	structures	structure	NOUN
fumecheng-12829	637	37	,	,	PUNCT
fumecheng-12829	637	38	257	257	NUM
fumecheng-12829	637	39	,	,	PUNCT
fumecheng-12829	637	40	113158	113158	NUM
fumecheng-12829	637	41	.	.	PUNCT
fumecheng-12829	638	1	25	25	NUM
fumecheng-12829	638	2	.	.	PUNCT
fumecheng-12829	638	3	wattanasakulpong	wattanasakulpong	ADJ
fumecheng-12829	638	4	,	,	PUNCT
fumecheng-12829	638	5	n.	n.	NOUN
fumecheng-12829	638	6	,	,	PUNCT
fumecheng-12829	638	7	ungbhakorn	ungbhakorn	ADJ
fumecheng-12829	638	8	,	,	PUNCT
fumecheng-12829	638	9	v.	v.	ADP
fumecheng-12829	638	10	,	,	PUNCT
fumecheng-12829	638	11	2013	2013	NUM
fumecheng-12829	638	12	,	,	PUNCT
fumecheng-12829	638	13	linear	linear	ADJ
fumecheng-12829	638	14	and	and	CCONJ
fumecheng-12829	638	15	nonlinear	nonlinear	ADJ
fumecheng-12829	638	16	vibration	vibration	NOUN
fumecheng-12829	638	17	analysis	analysis	NOUN
fumecheng-12829	638	18	of	of	ADP
fumecheng-12829	638	19	elastically	elastically	ADV
fumecheng-12829	638	20	restrained	restrain	VERB
fumecheng-12829	638	21	ends	end	NOUN
fumecheng-12829	638	22	fgm	fgm	PROPN
fumecheng-12829	638	23	beams	beam	NOUN
fumecheng-12829	638	24	with	with	ADP
fumecheng-12829	638	25	porosities	porosity	NOUN
fumecheng-12829	638	26	,	,	PUNCT
fumecheng-12829	638	27	aero	aero	PROPN
fumecheng-12829	638	28	.	.	PUNCT
fumecheng-12829	639	1	sci	sci	PROPN
fumecheng-12829	639	2	.	.	PROPN
fumecheng-12829	639	3	technol	technol	PROPN
fumecheng-12829	639	4	.	.	PROPN
fumecheng-12829	640	1	32	32	NUM
fumecheng-12829	640	2	,	,	PUNCT
fumecheng-12829	640	3	pp	pp	ADJ
fumecheng-12829	640	4	.	.	PUNCT
fumecheng-12829	641	1	111–120	111–120	NUM
fumecheng-12829	641	2	.	.	PUNCT
fumecheng-12829	642	1	26	26	NUM
fumecheng-12829	642	2	.	.	PUNCT
fumecheng-12829	643	1	kugler	kugler	PROPN
fumecheng-12829	643	2	,	,	PUNCT
fumecheng-12829	643	3	p.	p.	PROPN
fumecheng-12829	643	4	fotiu	fotiu	PROPN
fumecheng-12829	643	5	,	,	PUNCT
fumecheng-12829	643	6	j.	j.	PROPN
fumecheng-12829	643	7	murin	murin	PROPN
fumecheng-12829	643	8	,	,	PUNCT
fumecheng-12829	643	9	2013	2013	NUM
fumecheng-12829	643	10	,	,	PUNCT
fumecheng-12829	643	11	the	the	DET
fumecheng-12829	643	12	numerical	numerical	ADJ
fumecheng-12829	643	13	analysis	analysis	NOUN
fumecheng-12829	643	14	of	of	ADP
fumecheng-12829	643	15	fme	fme	NOUN
fumecheng-12829	643	16	shells	shell	NOUN
fumecheng-12829	643	17	with	with	ADP
fumecheng-12829	643	18	enhanced	enhanced	ADJ
fumecheng-12829	643	19	finite	finite	ADJ
fumecheng-12829	643	20	elements	element	NOUN
fumecheng-12829	643	21	,	,	PUNCT
fumecheng-12829	643	22	engineering	engineering	NOUN
fumecheng-12829	643	23	structures	structure	NOUN
fumecheng-12829	643	24	,	,	PUNCT
fumecheng-12829	643	25	49	49	NUM
fumecheng-12829	643	26	,	,	PUNCT
fumecheng-12829	643	27	pp	pp	ADJ
fumecheng-12829	643	28	.	.	PUNCT
fumecheng-12829	644	1	920–935	920–935	NUM
fumecheng-12829	644	2	.	.	PUNCT
fumecheng-12829	645	1	27	27	NUM
fumecheng-12829	645	2	.	.	PUNCT
fumecheng-12829	646	1	mellouli	mellouli	PROPN
fumecheng-12829	646	2	,	,	PUNCT
fumecheng-12829	646	3	h.	h.	PROPN
fumecheng-12829	646	4	,	,	PUNCT
fumecheng-12829	646	5	mallek	mallek	PROPN
fumecheng-12829	646	6	,	,	PUNCT
fumecheng-12829	646	7	h.	h.	PROPN
fumecheng-12829	646	8	,	,	PUNCT
fumecheng-12829	646	9	wali	wali	PROPN
fumecheng-12829	646	10	,	,	PUNCT
fumecheng-12829	646	11	m.	m.	NOUN
fumecheng-12829	646	12	,	,	PUNCT
fumecheng-12829	646	13	dammak	dammak	PROPN
fumecheng-12829	646	14	,	,	PUNCT
fumecheng-12829	646	15	f.	f.	PROPN
fumecheng-12829	646	16	,	,	PUNCT
fumecheng-12829	646	17	gamaoun	gamaoun	PROPN
fumecheng-12829	646	18	,	,	PUNCT
fumecheng-12829	646	19	f.	f.	PROPN
fumecheng-12829	646	20	,	,	PUNCT
fumecheng-12829	646	21	abdulrahman	abdulrahman	PROPN
fumecheng-12829	646	22	,	,	PUNCT
fumecheng-12829	646	23	a.	a.	NOUN
fumecheng-12829	646	24	,	,	PUNCT
fumecheng-12829	646	25	2022	2022	NUM
fumecheng-12829	646	26	,	,	PUNCT
fumecheng-12829	646	27	an	an	DET
fumecheng-12829	646	28	extensible	extensible	ADJ
fumecheng-12829	646	29	double	double	ADJ
fumecheng-12829	646	30	director	director	NOUN
fumecheng-12829	646	31	3d	3d	PROPN
fumecheng-12829	646	32	shell	shell	PROPN
fumecheng-12829	646	33	formulation	formulation	NOUN
fumecheng-12829	646	34	for	for	ADP
fumecheng-12829	646	35	fgm	fgm	PROPN
fumecheng-12829	646	36	-	-	PUNCT
fumecheng-12829	646	37	cntrc	cntrc	PROPN
fumecheng-12829	646	38	shell	shell	NOUN
fumecheng-12829	646	39	bending	bend	VERB
fumecheng-12829	646	40	analysis	analysis	NOUN
fumecheng-12829	646	41	,	,	PUNCT
fumecheng-12829	646	42	engineering	engineer	VERB
fumecheng-12829	646	43	analysis	analysis	NOUN
fumecheng-12829	646	44	with	with	ADP
fumecheng-12829	646	45	boundary	boundary	ADJ
fumecheng-12829	646	46	elements	element	NOUN
fumecheng-12829	646	47	,	,	PUNCT
fumecheng-12829	646	48	145	145	NUM
fumecheng-12829	646	49	,	,	PUNCT
fumecheng-12829	646	50	pp	pp	ADJ
fumecheng-12829	646	51	.	.	PUNCT
fumecheng-12829	647	1	258	258	NUM
fumecheng-12829	647	2	-	-	SYM
fumecheng-12829	647	3	270	270	NUM
fumecheng-12829	647	4	.	.	PUNCT
fumecheng-12829	648	1	28	28	NUM
fumecheng-12829	648	2	.	.	PUNCT
fumecheng-12829	649	1	tanov	tanov	PROPN
fumecheng-12829	649	2	,	,	PUNCT
fumecheng-12829	649	3	r.	r.	PROPN
fumecheng-12829	649	4	,	,	PUNCT
fumecheng-12829	649	5	tabiei	tabiei	PROPN
fumecheng-12829	649	6	,	,	PUNCT
fumecheng-12829	649	7	a.	a.	NOUN
fumecheng-12829	649	8	,	,	PUNCT
fumecheng-12829	649	9	2000	2000	NUM
fumecheng-12829	649	10	,	,	PUNCT
fumecheng-12829	649	11	a	a	DET
fumecheng-12829	649	12	simple	simple	ADJ
fumecheng-12829	649	13	correction	correction	NOUN
fumecheng-12829	649	14	to	to	ADP
fumecheng-12829	649	15	the	the	DET
fumecheng-12829	649	16	first	first	ADJ
fumecheng-12829	649	17	-	-	PUNCT
fumecheng-12829	649	18	order	order	NOUN
fumecheng-12829	649	19	shear	shear	NOUN
fumecheng-12829	649	20	deformation	deformation	NOUN
fumecheng-12829	649	21	shell	shell	NOUN
fumecheng-12829	649	22	finite	finite	PROPN
fumecheng-12829	649	23	element	element	NOUN
fumecheng-12829	649	24	formulations	formulation	NOUN
fumecheng-12829	649	25	,	,	PUNCT
fumecheng-12829	649	26	finite	finite	ADJ
fumecheng-12829	649	27	elements	element	NOUN
fumecheng-12829	649	28	in	in	ADP
fumecheng-12829	649	29	analysis	analysis	NOUN
fumecheng-12829	649	30	and	and	CCONJ
fumecheng-12829	649	31	design	design	NOUN
fumecheng-12829	649	32	,	,	PUNCT
fumecheng-12829	649	33	35(2	35(2	NUM
fumecheng-12829	649	34	)	)	PUNCT
fumecheng-12829	649	35	,	,	PUNCT
fumecheng-12829	649	36	pp	pp	ADP
fumecheng-12829	649	37	.	.	PUNCT
fumecheng-12829	650	1	189	189	NUM
fumecheng-12829	650	2	-	-	SYM
fumecheng-12829	650	3	197	197	NUM
fumecheng-12829	650	4	.	.	PUNCT
fumecheng-12829	651	1	29	29	NUM
fumecheng-12829	651	2	.	.	PUNCT
fumecheng-12829	652	1	shi	shi	PROPN
fumecheng-12829	652	2	,	,	PUNCT
fumecheng-12829	652	3	g.	g.	PROPN
fumecheng-12829	652	4	,	,	PUNCT
fumecheng-12829	652	5	2007	2007	NUM
fumecheng-12829	652	6	,	,	PUNCT
fumecheng-12829	652	7	a	a	DET
fumecheng-12829	652	8	new	new	ADJ
fumecheng-12829	652	9	simple	simple	ADJ
fumecheng-12829	652	10	third	third	ADJ
fumecheng-12829	652	11	-	-	PUNCT
fumecheng-12829	652	12	order	order	NOUN
fumecheng-12829	652	13	shear	shear	NOUN
fumecheng-12829	652	14	deformation	deformation	NOUN
fumecheng-12829	652	15	theory	theory	NOUN
fumecheng-12829	652	16	of	of	ADP
fumecheng-12829	652	17	plates	plate	NOUN
fumecheng-12829	652	18	,	,	PUNCT
fumecheng-12829	652	19	int	int	PROPN
fumecheng-12829	652	20	j	j	PROPN
fumecheng-12829	652	21	solids	solid	NOUN
fumecheng-12829	652	22	struct	struct	NOUN
fumecheng-12829	652	23	,	,	PUNCT
fumecheng-12829	652	24	44	44	NUM
fumecheng-12829	652	25	,	,	PUNCT
fumecheng-12829	652	26	pp	pp	ADJ
fumecheng-12829	652	27	.	.	PUNCT
fumecheng-12829	652	28	4399	4399	NUM
fumecheng-12829	652	29	-	-	SYM
fumecheng-12829	652	30	4417	4417	NUM
fumecheng-12829	652	31	.	.	PUNCT
fumecheng-12829	653	1	30	30	NUM
fumecheng-12829	653	2	.	.	PUNCT
fumecheng-12829	654	1	simo	simo	PROPN
fumecheng-12829	654	2	,	,	PUNCT
fumecheng-12829	654	3	j.c	j.c	PROPN
fumecheng-12829	654	4	.	.	PROPN
fumecheng-12829	654	5	,	,	PUNCT
fumecheng-12829	654	6	rifai	rifai	PROPN
fumecheng-12829	654	7	,	,	PUNCT
fumecheng-12829	654	8	m.s	m.s	PROPN
fumecheng-12829	654	9	.	.	PROPN
fumecheng-12829	654	10	,	,	PUNCT
fumecheng-12829	654	11	fox	fox	PROPN
fumecheng-12829	654	12	,	,	PUNCT
fumecheng-12829	654	13	d.	d.	PROPN
fumecheng-12829	654	14	,	,	PUNCT
fumecheng-12829	654	15	1990	1990	NUM
fumecheng-12829	654	16	,	,	PUNCT
fumecheng-12829	654	17	on	on	ADP
fumecheng-12829	654	18	a	a	DET
fumecheng-12829	654	19	stress	stress	NOUN
fumecheng-12829	654	20	resultant	resultant	VERB
fumecheng-12829	654	21	geometrically	geometrically	ADV
fumecheng-12829	654	22	exact	exact	ADJ
fumecheng-12829	654	23	shell	shell	NOUN
fumecheng-12829	654	24	model	model	NOUN
fumecheng-12829	654	25	.	.	PUNCT
fumecheng-12829	655	1	part	part	NOUN
fumecheng-12829	655	2	iv	iv	NUM
fumecheng-12829	655	3	:	:	PUNCT
fumecheng-12829	655	4	variable	variable	ADJ
fumecheng-12829	655	5	thickness	thickness	NOUN
fumecheng-12829	655	6	shells	shell	NOUN
fumecheng-12829	655	7	with	with	ADP
fumecheng-12829	655	8	through	through	ADP
fumecheng-12829	655	9	-	-	PUNCT
fumecheng-12829	655	10	the	the	DET
fumecheng-12829	655	11	-	-	PUNCT
fumecheng-12829	655	12	thickness	thickness	NOUN
fumecheng-12829	655	13	stretching	stretching	NOUN
fumecheng-12829	655	14	,	,	PUNCT
fumecheng-12829	655	15	computer	computer	NOUN
fumecheng-12829	655	16	methods	method	NOUN
fumecheng-12829	655	17	in	in	ADP
fumecheng-12829	655	18	applied	applied	ADJ
fumecheng-12829	655	19	mechanics	mechanic	NOUN
fumecheng-12829	655	20	and	and	CCONJ
fumecheng-12829	655	21	engineering	engineering	NOUN
fumecheng-12829	655	22	,	,	PUNCT
fumecheng-12829	655	23	81(1	81(1	NUM
fumecheng-12829	655	24	)	)	PUNCT
fumecheng-12829	655	25	,	,	PUNCT
fumecheng-12829	655	26	pp	pp	PROPN
fumecheng-12829	655	27	.	.	PUNCT
fumecheng-12829	656	1	91	91	NUM
fumecheng-12829	656	2	-	-	SYM
fumecheng-12829	656	3	126	126	NUM
fumecheng-12829	656	4	.	.	PUNCT
fumecheng-12829	657	1	31	31	NUM
fumecheng-12829	657	2	.	.	X
fumecheng-12829	658	1	bischoff	bischoff	PROPN
fumecheng-12829	658	2	,	,	PUNCT
fumecheng-12829	658	3	m.	m.	NOUN
fumecheng-12829	658	4	,	,	PUNCT
fumecheng-12829	658	5	ramm	ramm	PROPN
fumecheng-12829	658	6	,	,	PUNCT
fumecheng-12829	658	7	e.	e.	PROPN
fumecheng-12829	658	8	,	,	PUNCT
fumecheng-12829	658	9	1997	1997	NUM
fumecheng-12829	658	10	,	,	PUNCT
fumecheng-12829	658	11	shear	shear	VERB
fumecheng-12829	658	12	deformable	deformable	ADJ
fumecheng-12829	658	13	shell	shell	NOUN
fumecheng-12829	658	14	elements	element	NOUN
fumecheng-12829	658	15	for	for	ADP
fumecheng-12829	658	16	large	large	ADJ
fumecheng-12829	658	17	strains	strain	NOUN
fumecheng-12829	658	18	and	and	CCONJ
fumecheng-12829	658	19	rotations	rotation	NOUN
fumecheng-12829	658	20	,	,	PUNCT
fumecheng-12829	658	21	international	international	ADJ
fumecheng-12829	658	22	journal	journal	NOUN
fumecheng-12829	658	23	for	for	ADP
fumecheng-12829	658	24	numerical	numerical	ADJ
fumecheng-12829	658	25	methods	method	NOUN
fumecheng-12829	658	26	in	in	ADP
fumecheng-12829	658	27	engineering	engineering	NOUN
fumecheng-12829	658	28	,	,	PUNCT
fumecheng-12829	658	29	40(23	40(23	NOUN
fumecheng-12829	658	30	)	)	PUNCT
fumecheng-12829	658	31	,	,	PUNCT
fumecheng-12829	658	32	pp	pp	ADJ
fumecheng-12829	658	33	.	.	PUNCT
fumecheng-12829	659	1	4427	4427	NUM
fumecheng-12829	659	2	-	-	SYM
fumecheng-12829	659	3	4449	4449	NUM
fumecheng-12829	659	4	.	.	PUNCT
fumecheng-12829	660	1	32	32	NUM
fumecheng-12829	660	2	.	.	PUNCT
fumecheng-12829	661	1	hughes	hughe	NOUN
fumecheng-12829	661	2	,	,	PUNCT
fumecheng-12829	661	3	t.	t.	PROPN
fumecheng-12829	661	4	j.	j.	PROPN
fumecheng-12829	661	5	,	,	PUNCT
fumecheng-12829	661	6	tezduyar	tezduyar	NOUN
fumecheng-12829	661	7	,	,	PUNCT
fumecheng-12829	661	8	t.	t.	PROPN
fumecheng-12829	661	9	,	,	PUNCT
fumecheng-12829	661	10	1981	1981	NUM
fumecheng-12829	661	11	,	,	PUNCT
fumecheng-12829	661	12	finite	finite	ADJ
fumecheng-12829	661	13	elements	element	NOUN
fumecheng-12829	661	14	based	base	VERB
fumecheng-12829	661	15	upon	upon	SCONJ
fumecheng-12829	661	16	mindlin	mindlin	NOUN
fumecheng-12829	661	17	plate	plate	NOUN
fumecheng-12829	661	18	theory	theory	NOUN
fumecheng-12829	661	19	with	with	ADP
fumecheng-12829	661	20	particular	particular	ADJ
fumecheng-12829	661	21	reference	reference	NOUN
fumecheng-12829	661	22	to	to	ADP
fumecheng-12829	661	23	the	the	DET
fumecheng-12829	661	24	four	four	NUM
fumecheng-12829	661	25	-	-	PUNCT
fumecheng-12829	661	26	node	node	NOUN
fumecheng-12829	661	27	bilinear	bilinear	ADJ
fumecheng-12829	661	28	isoparametric	isoparametric	ADJ
fumecheng-12829	661	29	element	element	NOUN
fumecheng-12829	661	30	,	,	PUNCT
fumecheng-12829	661	31	journal	journal	NOUN
fumecheng-12829	661	32	of	of	ADP
fumecheng-12829	661	33	applied	apply	VERB
fumecheng-12829	661	34	mechanics	mechanic	NOUN
fumecheng-12829	661	35	,	,	PUNCT
fumecheng-12829	662	1	pp	pp	ADJ
fumecheng-12829	662	2	.	.	PUNCT
fumecheng-12829	663	1	587	587	NUM
fumecheng-12829	663	2	-	-	SYM
fumecheng-12829	663	3	596	596	NUM
fumecheng-12829	663	4	.	.	PUNCT
fumecheng-12829	664	1	33	33	NUM
fumecheng-12829	664	2	.	.	PUNCT
fumecheng-12829	664	3	dvorkin	dvorkin	PROPN
fumecheng-12829	664	4	,	,	PUNCT
fumecheng-12829	664	5	e.	e.	PROPN
fumecheng-12829	664	6	n.	n.	PROPN
fumecheng-12829	664	7	,	,	PUNCT
fumecheng-12829	664	8	bathe	bathe	VERB
fumecheng-12829	664	9	,	,	PUNCT
fumecheng-12829	664	10	k.	k.	PROPN
fumecheng-12829	664	11	j.	j.	PROPN
fumecheng-12829	664	12	,	,	PUNCT
fumecheng-12829	664	13	1984	1984	NUM
fumecheng-12829	664	14	,	,	PUNCT
fumecheng-12829	664	15	a	a	DET
fumecheng-12829	664	16	continuum	continuum	ADJ
fumecheng-12829	664	17	mechanics	mechanic	NOUN
fumecheng-12829	664	18	based	base	VERB
fumecheng-12829	664	19	four‐node	four‐node	PROPN
fumecheng-12829	664	20	shell	shell	NOUN
fumecheng-12829	664	21	element	element	NOUN
fumecheng-12829	664	22	for	for	ADP
fumecheng-12829	664	23	general	general	ADJ
fumecheng-12829	664	24	non‐linear	non‐linear	NOUN
fumecheng-12829	664	25	analysis	analysis	NOUN
fumecheng-12829	664	26	,	,	PUNCT
fumecheng-12829	664	27	engineering	engineering	NOUN
fumecheng-12829	664	28	computations	computation	NOUN
fumecheng-12829	664	29	,	,	PUNCT
fumecheng-12829	664	30	1(1	1(1	NUM
fumecheng-12829	664	31	)	)	PUNCT
fumecheng-12829	664	32	,	,	PUNCT
fumecheng-12829	664	33	pp	pp	ADP
fumecheng-12829	664	34	.	.	PUNCT
fumecheng-12829	665	1	77	77	NUM
fumecheng-12829	665	2	-	-	SYM
fumecheng-12829	665	3	88	88	NUM
fumecheng-12829	665	4	.	.	PUNCT
fumecheng-12829	666	1	34	34	NUM
fumecheng-12829	666	2	.	.	X
fumecheng-12829	666	3	mallek	mallek	PROPN
fumecheng-12829	666	4	,	,	PUNCT
fumecheng-12829	666	5	h.	h.	PROPN
fumecheng-12829	666	6	,	,	PUNCT
fumecheng-12829	666	7	mellouli	mellouli	PROPN
fumecheng-12829	666	8	,	,	PUNCT
fumecheng-12829	666	9	h.	h.	PROPN
fumecheng-12829	666	10	,	,	PUNCT
fumecheng-12829	666	11	said	say	VERB
fumecheng-12829	666	12	,	,	PUNCT
fumecheng-12829	666	13	l.b	l.b	PROPN
fumecheng-12829	666	14	.	.	PROPN
fumecheng-12829	666	15	,	,	PUNCT
fumecheng-12829	666	16	wali	wali	PROPN
fumecheng-12829	666	17	,	,	PUNCT
fumecheng-12829	666	18	m.	m.	NOUN
fumecheng-12829	666	19	,	,	PUNCT
fumecheng-12829	666	20	dammak	dammak	PROPN
fumecheng-12829	666	21	,	,	PUNCT
fumecheng-12829	666	22	f.	f.	PROPN
fumecheng-12829	666	23	,	,	PUNCT
fumecheng-12829	666	24	boujelbene	boujelbene	PROPN
fumecheng-12829	666	25	,	,	PUNCT
fumecheng-12829	666	26	m.	m.	NOUN
fumecheng-12829	666	27	,	,	PUNCT
fumecheng-12829	666	28	2023	2023	NUM
fumecheng-12829	666	29	,	,	PUNCT
fumecheng-12829	666	30	bending	bend	VERB
fumecheng-12829	666	31	and	and	CCONJ
fumecheng-12829	666	32	free	free	ADJ
fumecheng-12829	666	33	vibration	vibration	NOUN
fumecheng-12829	666	34	analyses	analysis	NOUN
fumecheng-12829	666	35	of	of	ADP
fumecheng-12829	666	36	cntrc	cntrc	PROPN
fumecheng-12829	666	37	shell	shell	PROPN
fumecheng-12829	666	38	structures	structure	NOUN
fumecheng-12829	666	39	considering	consider	VERB
fumecheng-12829	666	40	agglomeration	agglomeration	NOUN
fumecheng-12829	666	41	effects	effect	NOUN
fumecheng-12829	666	42	with	with	ADP
fumecheng-12829	666	43	through	through	ADP
fumecheng-12829	666	44	-	-	PUNCT
fumecheng-12829	666	45	the	the	DET
fumecheng-12829	666	46	-	-	PUNCT
fumecheng-12829	666	47	thickness	thickness	NOUN
fumecheng-12829	666	48	stretch	stretch	NOUN
fumecheng-12829	666	49	,	,	PUNCT
fumecheng-12829	666	50	thinwalled	thinwalled	ADJ
fumecheng-12829	666	51	structures	structure	NOUN
fumecheng-12829	666	52	,	,	PUNCT
fumecheng-12829	666	53	191	191	NUM
fumecheng-12829	666	54	,	,	PUNCT
fumecheng-12829	666	55	111036	111036	NUM
fumecheng-12829	666	56	.	.	PUNCT
fumecheng-12829	667	1	35	35	NUM
fumecheng-12829	667	2	.	.	PUNCT
fumecheng-12829	668	1	piltner	piltner	PROPN
fumecheng-12829	668	2	,	,	PUNCT
fumecheng-12829	668	3	r.	r.	PROPN
fumecheng-12829	668	4	,	,	PUNCT
fumecheng-12829	668	5	joseph	joseph	PROPN
fumecheng-12829	668	6	,	,	PUNCT
fumecheng-12829	668	7	d.s	d.s	PROPN
fumecheng-12829	668	8	.	.	PROPN
fumecheng-12829	668	9	,	,	PUNCT
fumecheng-12829	668	10	2001	2001	NUM
fumecheng-12829	668	11	,	,	PUNCT
fumecheng-12829	668	12	a	a	DET
fumecheng-12829	668	13	mixed	mixed	ADJ
fumecheng-12829	668	14	finite	finite	NOUN
fumecheng-12829	668	15	element	element	NOUN
fumecheng-12829	668	16	for	for	ADP
fumecheng-12829	668	17	plate	plate	NOUN
fumecheng-12829	668	18	bending	bend	VERB
fumecheng-12829	668	19	with	with	ADP
fumecheng-12829	668	20	eight	eight	NUM
fumecheng-12829	668	21	enhanced	enhanced	ADJ
fumecheng-12829	668	22	strain	strain	NOUN
fumecheng-12829	668	23	modes	mode	NOUN
fumecheng-12829	668	24	,	,	PUNCT
fumecheng-12829	668	25	communications	communication	NOUN
fumecheng-12829	668	26	in	in	ADP
fumecheng-12829	668	27	numerical	numerical	ADJ
fumecheng-12829	668	28	methods	method	NOUN
fumecheng-12829	668	29	in	in	ADP
fumecheng-12829	668	30	engineering	engineering	NOUN
fumecheng-12829	668	31	,	,	PUNCT
fumecheng-12829	668	32	17(7	17(7	NUM
fumecheng-12829	668	33	)	)	PUNCT
fumecheng-12829	668	34	,	,	PUNCT
fumecheng-12829	668	35	pp	pp	PROPN
fumecheng-12829	668	36	.	.	PUNCT
fumecheng-12829	669	1	443	443	NUM
fumecheng-12829	669	2	-	-	SYM
fumecheng-12829	669	3	454	454	NUM
fumecheng-12829	669	4	.	.	PUNCT
fumecheng-12829	670	1	36	36	NUM
fumecheng-12829	670	2	.	.	PUNCT
fumecheng-12829	671	1	piltner	piltner	PROPN
fumecheng-12829	671	2	,	,	PUNCT
fumecheng-12829	671	3	r.	r.	PROPN
fumecheng-12829	671	4	,	,	PUNCT
fumecheng-12829	671	5	1988	1988	NUM
fumecheng-12829	671	6	,	,	PUNCT
fumecheng-12829	671	7	the	the	DET
fumecheng-12829	671	8	application	application	NOUN
fumecheng-12829	671	9	of	of	ADP
fumecheng-12829	671	10	a	a	DET
fumecheng-12829	671	11	complex	complex	ADJ
fumecheng-12829	671	12	3	3	NUM
fumecheng-12829	671	13	-	-	PUNCT
fumecheng-12829	671	14	dimensional	dimensional	ADJ
fumecheng-12829	671	15	elasticity	elasticity	NOUN
fumecheng-12829	671	16	solution	solution	NOUN
fumecheng-12829	671	17	representation	representation	NOUN
fumecheng-12829	671	18	for	for	ADP
fumecheng-12829	671	19	the	the	DET
fumecheng-12829	671	20	analysis	analysis	NOUN
fumecheng-12829	671	21	of	of	ADP
fumecheng-12829	671	22	a	a	DET
fumecheng-12829	671	23	thick	thick	ADJ
fumecheng-12829	671	24	rectangular	rectangular	ADJ
fumecheng-12829	671	25	plate	plate	NOUN
fumecheng-12829	671	26	,	,	PUNCT
fumecheng-12829	671	27	acta	acta	PROPN
fumecheng-12829	671	28	mechanica	mechanica	PROPN
fumecheng-12829	671	29	,	,	PUNCT
fumecheng-12829	671	30	75(1	75(1	NOUN
fumecheng-12829	671	31	)	)	PUNCT
fumecheng-12829	671	32	,	,	PUNCT
fumecheng-12829	671	33	pp	pp	ADP
fumecheng-12829	671	34	.	.	PUNCT
fumecheng-12829	672	1	77	77	NUM
fumecheng-12829	672	2	-	-	SYM
fumecheng-12829	672	3	91	91	NUM
fumecheng-12829	672	4	.	.	PUNCT
fumecheng-12829	673	1	37	37	NUM
fumecheng-12829	673	2	.	.	PUNCT
fumecheng-12829	674	1	nguyen	nguyen	PROPN
fumecheng-12829	674	2	,	,	PUNCT
fumecheng-12829	674	3	n.v	n.v	PROPN
fumecheng-12829	674	4	.	.	PROPN
fumecheng-12829	674	5	,	,	PUNCT
fumecheng-12829	674	6	nguyen	nguyen	PROPN
fumecheng-12829	674	7	,	,	PUNCT
fumecheng-12829	674	8	h.x	h.x	PROPN
fumecheng-12829	674	9	.	.	PROPN
fumecheng-12829	674	10	,	,	PUNCT
fumecheng-12829	674	11	lee	lee	PROPN
fumecheng-12829	674	12	,	,	PUNCT
fumecheng-12829	674	13	s.	s.	PROPN
fumecheng-12829	674	14	,	,	PUNCT
fumecheng-12829	674	15	nguyen	nguyen	PROPN
fumecheng-12829	674	16	-	-	PUNCT
fumecheng-12829	674	17	xuan	xuan	PROPN
fumecheng-12829	674	18	,	,	PUNCT
fumecheng-12829	674	19	h.	h.	PROPN
fumecheng-12829	674	20	,	,	PUNCT
fumecheng-12829	674	21	2018	2018	NUM
fumecheng-12829	674	22	,	,	PUNCT
fumecheng-12829	674	23	geometrically	geometrically	ADV
fumecheng-12829	674	24	nonlinear	nonlinear	ADJ
fumecheng-12829	674	25	polygonal	polygonal	ADJ
fumecheng-12829	674	26	finite	finite	ADJ
fumecheng-12829	674	27	element	element	NOUN
fumecheng-12829	674	28	analysis	analysis	NOUN
fumecheng-12829	674	29	of	of	ADP
fumecheng-12829	674	30	functionally	functionally	ADV
fumecheng-12829	674	31	graded	grade	VERB
fumecheng-12829	674	32	porous	porous	ADJ
fumecheng-12829	674	33	plates	plate	NOUN
fumecheng-12829	674	34	,	,	PUNCT
fumecheng-12829	674	35	advances	advance	NOUN
fumecheng-12829	674	36	in	in	ADP
fumecheng-12829	674	37	engineering	engineering	NOUN
fumecheng-12829	674	38	software	software	NOUN
fumecheng-12829	674	39	,	,	PUNCT
fumecheng-12829	674	40	126	126	NUM
fumecheng-12829	674	41	,	,	PUNCT
fumecheng-12829	674	42	pp	pp	ADJ
fumecheng-12829	674	43	.	.	PUNCT
fumecheng-12829	675	1	110	110	NUM
fumecheng-12829	675	2	-	-	SYM
fumecheng-12829	675	3	126	126	NUM
fumecheng-12829	675	4	.	.	PUNCT
fumecheng-12829	676	1	858	858	NUM
fumecheng-12829	676	2	h.	h.	PROPN
fumecheng-12829	676	3	mallek	mallek	PROPN
fumecheng-12829	676	4	,	,	PUNCT
fumecheng-12829	676	5	h.	h.	PROPN
fumecheng-12829	676	6	mellouli	mellouli	PROPN
fumecheng-12829	676	7	,	,	PUNCT
fumecheng-12829	676	8	l.	l.	PROPN
fumecheng-12829	676	9	ben	ben	PROPN
fumecheng-12829	676	10	said	say	VERB
fumecheng-12829	676	11	,	,	PUNCT
fumecheng-12829	676	12	m.	m.	PROPN
fumecheng-12829	676	13	wali	wali	PROPN
fumecheng-12829	676	14	,	,	PUNCT
fumecheng-12829	676	15	f.	f.	PROPN
fumecheng-12829	676	16	dammak	dammak	PROPN
fumecheng-12829	676	17	,	,	PUNCT
fumecheng-12829	676	18	m.	m.	NOUN
fumecheng-12829	676	19	alhadri	alhadri	PROPN
fumecheng-12829	676	20	appendix	appendix	VERB
fumecheng-12829	676	21	a	a	DET
fumecheng-12829	676	22	:	:	PUNCT
fumecheng-12829	676	23	strain	strain	NOUN
fumecheng-12829	676	24	-	-	PUNCT
fumecheng-12829	676	25	displacement	displacement	NOUN
fumecheng-12829	676	26	interpolation	interpolation	NOUN
fumecheng-12829	676	27	membrane	membrane	NOUN
fumecheng-12829	676	28	:	:	PUNCT
fumecheng-12829	676	29	.m	.m	PUNCT
fumecheng-12829	677	1	n	n	VERB
fumecheng-12829	677	2	=e	=e	PROPN
fumecheng-12829	677	3	b	b	NOUN
fumecheng-12829	677	4	φ	φ	NUM
fumecheng-12829	678	1	i	i	PRON
fumecheng-12829	679	1	i	i	PRON
fumecheng-12829	680	1	i	i	PRON
fumecheng-12829	680	2	m	m	VERB
fumecheng-12829	680	3	mu	mu	PROPN
fumecheng-12829	680	4	m	m	PROPN
fumecheng-12829	680	5			PROPN
fumecheng-12829	681	1	=	=	NOUN
fumecheng-12829	681	2			PROPN
fumecheng-12829	681	3	b	b	NOUN
fumecheng-12829	681	4	b	b	PROPN
fumecheng-12829	681	5	0	0	NUM
fumecheng-12829	681	6	b	b	PROPN
fumecheng-12829	681	7	t	t	PROPN
fumecheng-12829	681	8	1	1	NUM
fumecheng-12829	681	9	,	,	PUNCT
fumecheng-12829	681	10	1	1	NUM
fumecheng-12829	681	11	t	t	NOUN
fumecheng-12829	681	12	2	2	NUM
fumecheng-12829	681	13	,	,	PUNCT
fumecheng-12829	681	14	2	2	NUM
fumecheng-12829	681	15	t	t	NOUN
fumecheng-12829	681	16	t	t	NOUN
fumecheng-12829	681	17	1	1	NUM
fumecheng-12829	681	18	,	,	PUNCT
fumecheng-12829	681	19	2	2	NUM
fumecheng-12829	681	20	2	2	NUM
fumecheng-12829	681	21	,	,	PUNCT
fumecheng-12829	681	22	1	1	NUM
fumecheng-12829	681	23	i	i	PRON
fumecheng-12829	682	1	i	i	PRON
fumecheng-12829	683	1	i	i	PRON
fumecheng-12829	683	2	mu	mu	VERB
fumecheng-12829	684	1	i	i	PRON
fumecheng-12829	684	2	i	i	PRON
fumecheng-12829	684	3	n	n	VERB
fumecheng-12829	684	4	n	n	CCONJ
fumecheng-12829	684	5	n	n	PROPN
fumecheng-12829	684	6	n+	n+	NUM
fumecheng-12829	684	7			PROPN
fumecheng-12829	684	8			ADJ
fumecheng-12829	684	9			NOUN
fumecheng-12829	684	10			PROPN
fumecheng-12829	684	11			NOUN
fumecheng-12829	684	12	=	=	X
fumecheng-12829	684	13			NOUN
fumecheng-12829	684	14			NOUN
fumecheng-12829	684	15			NOUN
fumecheng-12829	684	16			NOUN
fumecheng-12829	684	17			NOUN
fumecheng-12829	684	18			PROPN
fumecheng-12829	684	19			PROPN
fumecheng-12829	684	20	n	n	CCONJ
fumecheng-12829	684	21	n	n	PROPN
fumecheng-12829	684	22	b	b	PROPN
fumecheng-12829	684	23	0	0	NUM
fumecheng-12829	684	24	n	n	CCONJ
fumecheng-12829	684	25	n	n	PROPN
fumecheng-12829	684	26	0	0	NUM
fumecheng-12829	684	27	0	0	NUM
fumecheng-12829	684	28	(	(	PUNCT
fumecheng-12829	684	29	1	1	NUM
fumecheng-12829	684	30	)	)	PUNCT
fumecheng-12829	684	31	0	0	NUM
fumecheng-12829	685	1	i	i	PRON
fumecheng-12829	685	2	m	m	VERB
fumecheng-12829	686	1	i	i	VERB
fumecheng-12829	686	2	i	i	PRON
fumecheng-12829	686	3	n	n	NUM
fumecheng-12829	686	4			X
fumecheng-12829	686	5			ADJ
fumecheng-12829	686	6			PROPN
fumecheng-12829	686	7			ADJ
fumecheng-12829	686	8			NOUN
fumecheng-12829	686	9			PROPN
fumecheng-12829	686	10			NOUN
fumecheng-12829	686	11	=	=	X
fumecheng-12829	686	12			NOUN
fumecheng-12829	686	13	−	−	X
fumecheng-12829	686	14			NOUN
fumecheng-12829	687	1			NOUN
fumecheng-12829	687	2			VERB
fumecheng-12829	687	3			PROPN
fumecheng-12829	687	4	b	b	PROPN
fumecheng-12829	687	5	bending	bending	NOUN
fumecheng-12829	687	6	:	:	PUNCT
fumecheng-12829	687	7	.b	.b	PROPN
fumecheng-12829	688	1	n	n	VERB
fumecheng-12829	688	2	=χ	=χ	PROPN
fumecheng-12829	688	3	b	b	PROPN
fumecheng-12829	688	4	φ	φ	NUM
fumecheng-12829	689	1	i	i	PRON
fumecheng-12829	690	1	i	i	PRON
fumecheng-12829	691	1	i	i	PRON
fumecheng-12829	692	1	i	i	PRON
fumecheng-12829	693	1	b	b	AUX
fumecheng-12829	693	2	bu	bu	VERB
fumecheng-12829	693	3	bt	bt	PROPN
fumecheng-12829	693	4	b	b	PROPN
fumecheng-12829	693	5			PROPN
fumecheng-12829	693	6	=	=	NOUN
fumecheng-12829	693	7			PROPN
fumecheng-12829	693	8	b	b	NOUN
fumecheng-12829	693	9	b	b	PROPN
fumecheng-12829	693	10	b	b	PROPN
fumecheng-12829	693	11	b	b	PROPN
fumecheng-12829	693	12	,	,	PUNCT
fumecheng-12829	693	13	1	1	NUM
fumecheng-12829	693	14	,	,	PUNCT
fumecheng-12829	693	15	1	1	NUM
fumecheng-12829	693	16	,	,	PUNCT
fumecheng-12829	693	17	2	2	NUM
fumecheng-12829	693	18	,	,	PUNCT
fumecheng-12829	693	19	2	2	NUM
fumecheng-12829	693	20	,	,	PUNCT
fumecheng-12829	693	21	1	1	NUM
fumecheng-12829	693	22	,	,	PUNCT
fumecheng-12829	693	23	2	2	NUM
fumecheng-12829	693	24	,	,	PUNCT
fumecheng-12829	693	25	2	2	NUM
fumecheng-12829	693	26	,	,	PUNCT
fumecheng-12829	694	1	1	1	NUM
fumecheng-12829	694	2	t	t	NOUN
fumecheng-12829	695	1	i	i	PRON
fumecheng-12829	695	2	t	t	X
fumecheng-12829	696	1	i	i	PRON
fumecheng-12829	697	1	i	i	PRON
fumecheng-12829	697	2	bu	bu	VERB
fumecheng-12829	698	1	t	t	PROPN
fumecheng-12829	699	1	i	i	PRON
fumecheng-12829	699	2	t	t	VERB
fumecheng-12829	699	3	i	i	PRON
fumecheng-12829	699	4	n	n	PROPN
fumecheng-12829	699	5	n	n	CCONJ
fumecheng-12829	699	6	n	n	PROPN
fumecheng-12829	699	7	n+	n+	NUM
fumecheng-12829	700	1			PROPN
fumecheng-12829	700	2			ADJ
fumecheng-12829	700	3			NOUN
fumecheng-12829	700	4			PROPN
fumecheng-12829	700	5			NOUN
fumecheng-12829	700	6	=	=	X
fumecheng-12829	700	7			NOUN
fumecheng-12829	700	8			NOUN
fumecheng-12829	700	9			NOUN
fumecheng-12829	700	10			NOUN
fumecheng-12829	700	11			NOUN
fumecheng-12829	700	12			PROPN
fumecheng-12829	700	13			PROPN
fumecheng-12829	700	14	d	d	PROPN
fumecheng-12829	700	15	d	d	PROPN
fumecheng-12829	700	16	b	b	PROPN
fumecheng-12829	700	17	0	0	NUM
fumecheng-12829	701	1	d	d	NOUN
fumecheng-12829	701	2	d	d	SYM
fumecheng-12829	701	3	1	1	NUM
fumecheng-12829	701	4	1	1	NUM
fumecheng-12829	701	5	2	2	NUM
fumecheng-12829	701	6	2	2	NUM
fumecheng-12829	701	7	2	2	NUM
fumecheng-12829	701	8	1	1	NUM
fumecheng-12829	701	9	1	1	NUM
fumecheng-12829	701	10	2	2	NUM
fumecheng-12829	702	1	i	i	PRON
fumecheng-12829	702	2	t	t	VERB
fumecheng-12829	703	1	i	i	PRON
fumecheng-12829	703	2	t	t	VERB
fumecheng-12829	704	1	i	i	PRON
fumecheng-12829	704	2	bt	bt	VERB
fumecheng-12829	705	1	i	i	PRON
fumecheng-12829	705	2	t	t	X
fumecheng-12829	706	1	i	i	PRON
fumecheng-12829	706	2	t	t	NOUN
fumecheng-12829	706	3	l	l	NOUN
fumecheng-12829	706	4	l	l	X
fumecheng-12829	706	5	l	l	X
fumecheng-12829	706	6	l+	l+	X
fumecheng-12829	706	7			PROPN
fumecheng-12829	706	8			ADJ
fumecheng-12829	706	9			NOUN
fumecheng-12829	706	10			PROPN
fumecheng-12829	706	11			NOUN
fumecheng-12829	706	12	=	=	X
fumecheng-12829	706	13			NOUN
fumecheng-12829	706	14			NOUN
fumecheng-12829	706	15			NOUN
fumecheng-12829	706	16			NOUN
fumecheng-12829	706	17			NOUN
fumecheng-12829	706	18			PROPN
fumecheng-12829	706	19			PROPN
fumecheng-12829	706	20	n	n	CCONJ
fumecheng-12829	706	21	n	n	PROPN
fumecheng-12829	706	22	b	b	PROPN
fumecheng-12829	706	23	0	0	NUM
fumecheng-12829	706	24	n	n	CCONJ
fumecheng-12829	706	25	n	n	ADV
fumecheng-12829	707	1	1	1	NUM
fumecheng-12829	707	2	1	1	NUM
fumecheng-12829	707	3	2	2	NUM
fumecheng-12829	707	4	2	2	NUM
fumecheng-12829	707	5	1	1	NUM
fumecheng-12829	707	6	2	2	NUM
fumecheng-12829	707	7	2	2	NUM
fumecheng-12829	707	8	1	1	NUM
fumecheng-12829	707	9	.	.	PUNCT
fumecheng-12829	707	10	.	.	PUNCT
fumecheng-12829	708	1	0	0	PUNCT
fumecheng-12829	708	2	.	.	PUNCT
fumecheng-12829	709	1	.	.	PUNCT
fumecheng-12829	710	1	t	t	PROPN
fumecheng-12829	711	1	i	i	PRON
fumecheng-12829	711	2	t	t	VERB
fumecheng-12829	712	1	i	i	PRON
fumecheng-12829	713	1	i	i	PROPN
fumecheng-12829	714	1	b	b	VERB
fumecheng-12829	714	2	t	t	NOUN
fumecheng-12829	715	1	i	i	PRON
fumecheng-12829	715	2	t	t	VERB
fumecheng-12829	715	3	i	i	PRON
fumecheng-12829	715	4			VERB
fumecheng-12829	715	5	+	+	CCONJ
fumecheng-12829	715	6			NUM
fumecheng-12829	715	7			ADJ
fumecheng-12829	715	8			NOUN
fumecheng-12829	715	9			PROPN
fumecheng-12829	715	10			NOUN
fumecheng-12829	715	11	=	=	X
fumecheng-12829	715	12			NOUN
fumecheng-12829	715	13			NOUN
fumecheng-12829	715	14			NOUN
fumecheng-12829	715	15			NOUN
fumecheng-12829	715	16			NOUN
fumecheng-12829	715	17			PROPN
fumecheng-12829	715	18			PROPN
fumecheng-12829	715	19	n	n	CCONJ
fumecheng-12829	715	20	m	m	NOUN
fumecheng-12829	715	21	n	n	PRON
fumecheng-12829	715	22	m	m	PROPN
fumecheng-12829	715	23	b	b	PROPN
fumecheng-12829	715	24	n	n	PRON
fumecheng-12829	715	25	m	m	VERB
fumecheng-12829	715	26	n	n	ADV
fumecheng-12829	715	27	m	m	PRON
fumecheng-12829	715	28	,	,	PUNCT
fumecheng-12829	715	29	,	,	PUNCT
fumecheng-12829	715	30	,	,	PUNCT
fumecheng-12829	715	31	(	(	PUNCT
fumecheng-12829	715	32	1	1	NUM
fumecheng-12829	715	33	)	)	PUNCT
fumecheng-12829	715	34			NOUN
fumecheng-12829	715	35			X
fumecheng-12829	715	36			NUM
fumecheng-12829	715	37	=	=	SYM
fumecheng-12829	715	38	−	−	PROPN
fumecheng-12829	715	39	−d	−d	PROPN
fumecheng-12829	715	40	t	t	PROPN
fumecheng-12829	715	41	t	t	PROPN
fumecheng-12829	715	42	,	,	PUNCT
fumecheng-12829	715	43	,	,	PUNCT
fumecheng-12829	716	1	(	(	PUNCT
fumecheng-12829	716	2	1	1	X
fumecheng-12829	716	3	)	)	PUNCT
fumecheng-12829	716	4	i	i	PRON
fumecheng-12829	717	1	i	i	PRON
fumecheng-12829	717	2	il	il	VERB
fumecheng-12829	717	3	n	n	ADV
fumecheng-12829	717	4	n	n	ADJ
fumecheng-12829	717	5			NOUN
fumecheng-12829	717	6			NUM
fumecheng-12829	717	7	=	=	NOUN
fumecheng-12829	717	8	−	−	NOUN
fumecheng-12829	717	9	−	−	NOUN
fumecheng-12829	717	10	,	,	PUNCT
fumecheng-12829	717	11	,	,	PUNCT
fumecheng-12829	717	12	(	(	PUNCT
fumecheng-12829	717	13	)	)	PUNCT
fumecheng-12829	717	14	i	i	PRON
fumecheng-12829	717	15	i	i	PRON
fumecheng-12829	717	16	in	in	ADP
fumecheng-12829	717	17	n	n	ADJ
fumecheng-12829	717	18			NOUN
fumecheng-12829	717	19	=	=	ADJ
fumecheng-12829	717	20	−	−	PROPN
fumecheng-12829	717	21	+	+	NOUN
fumecheng-12829	717	22	m	m	PROPN
fumecheng-12829	717	23	t	t	NOUN
fumecheng-12829	717	24	t	t	NOUN
fumecheng-12829	717	25	transverse	transverse	NOUN
fumecheng-12829	717	26	shear	shear	NOUN
fumecheng-12829	717	27	,	,	PUNCT
fumecheng-12829	717	28	first	first	ADJ
fumecheng-12829	717	29	terme	terme	NOUN
fumecheng-12829	717	30	:	:	PUNCT
fumecheng-12829	717	31	0	0	NUM
fumecheng-12829	717	32	0	0	NUM
fumecheng-12829	717	33	.s	.s	NOUN
fumecheng-12829	718	1	n	n	NOUN
fumecheng-12829	718	2	=γ	=γ	PROPN
fumecheng-12829	718	3	b	b	PROPN
fumecheng-12829	718	4	φ	φ	NOUN
fumecheng-12829	718	5	0	0	NUM
fumecheng-12829	718	6	1	1	NUM
fumecheng-12829	718	7	0	0	NUM
fumecheng-12829	718	8	s	s	NOUN
fumecheng-12829	718	9			NOUN
fumecheng-12829	718	10	−=b	−=b	PUNCT
fumecheng-12829	718	11	j	j	PROPN
fumecheng-12829	718	12	b	b	PROPN
fumecheng-12829	718	13	1	1	NUM
fumecheng-12829	718	14	2	2	NUM
fumecheng-12829	718	15	2	2	NUM
fumecheng-12829	718	16	2	2	NUM
fumecheng-12829	718	17	2	2	NUM
fumecheng-12829	718	18	2	2	NUM
fumecheng-12829	718	19	,	,	PUNCT
fumecheng-12829	718	20	1	1	NUM
fumecheng-12829	718	21	1	1	NUM
fumecheng-12829	718	22	1	1	NUM
fumecheng-12829	718	23	,	,	PUNCT
fumecheng-12829	718	24	1	1	NUM
fumecheng-12829	718	25	1	1	NUM
fumecheng-12829	718	26	,	,	PUNCT
fumecheng-12829	718	27	1	1	NUM
fumecheng-12829	718	28	1	1	NUM
fumecheng-12829	718	29	1	1	NUM
fumecheng-12829	718	30	,	,	PUNCT
fumecheng-12829	718	31	1	1	NUM
fumecheng-12829	718	32	10	10	NUM
fumecheng-12829	718	33	1	1	NUM
fumecheng-12829	718	34	4	4	NUM
fumecheng-12829	718	35	4	4	NUM
fumecheng-12829	718	36	2	2	NUM
fumecheng-12829	718	37	3	3	NUM
fumecheng-12829	718	38	3	3	NUM
fumecheng-12829	718	39	,	,	PUNCT
fumecheng-12829	718	40	2	2	NUM
fumecheng-12829	718	41	2	2	NUM
fumecheng-12829	718	42	2	2	NUM
fumecheng-12829	718	43	,	,	PUNCT
fumecheng-12829	718	44	2	2	NUM
fumecheng-12829	718	45	2	2	NUM
fumecheng-12829	718	46	,	,	PUNCT
fumecheng-12829	718	47	2	2	NUM
fumecheng-12829	718	48	2	2	NUM
fumecheng-12829	718	49	2	2	NUM
fumecheng-12829	718	50	,	,	PUNCT
fumecheng-12829	718	51	2	2	NUM
fumecheng-12829	718	52	2	2	NUM
fumecheng-12829	718	53	.	.	PUNCT
fumecheng-12829	718	54	.	.	PUNCT
fumecheng-12829	718	55	.	.	PUNCT
fumecheng-12829	719	1	.	.	PUNCT
fumecheng-12829	720	1	t	t	PROPN
fumecheng-12829	720	2	t	t	PROPN
fumecheng-12829	720	3	t	t	PROPN
fumecheng-12829	720	4	t	t	PROPN
fumecheng-12829	720	5	t	t	PROPN
fumecheng-12829	720	6	t	t	PROPN
fumecheng-12829	720	7	b	b	PROPN
fumecheng-12829	720	8	b	b	PROPN
fumecheng-12829	720	9	b	b	PROPN
fumecheng-12829	720	10	b	b	PROPN
fumecheng-12829	720	11	b	b	PROPN
fumecheng-12829	720	12	b	b	PROPN
fumecheng-12829	720	13	b	b	PROPN
fumecheng-12829	720	14	b	b	PROPN
fumecheng-12829	720	15	b	b	PROPN
fumecheng-12829	720	16	b	b	PROPN
fumecheng-12829	720	17	t	t	PROPN
fumecheng-12829	720	18	t	t	PROPN
fumecheng-12829	720	19	t	t	PROPN
fumecheng-12829	720	20	t	t	PROPN
fumecheng-12829	720	21	t	t	PROPN
fumecheng-12829	720	22	t	t	PROPN
fumecheng-12829	720	23	a	a	PRON
fumecheng-12829	720	24	a	a	DET
fumecheng-12829	720	25	a	a	NOUN
fumecheng-12829	720	26	a	a	NOUN
fumecheng-12829	720	27	a	a	NOUN
fumecheng-12829	720	28	c	c	NOUN
fumecheng-12829	720	29	c	c	NOUN
fumecheng-12829	720	30	c	c	NOUN
fumecheng-12829	720	31	c	c	NOUN
fumecheng-12829	720	32	c	c	NOUN
fumecheng-12829	720	33	n	n	PRON
fumecheng-12829	720	34	p	p	NOUN
fumecheng-12829	720	35	n	n	CCONJ
fumecheng-12829	720	36	n	n	PROPN
fumecheng-12829	720	37	p	p	NOUN
fumecheng-12829	720	38	n	n	CCONJ
fumecheng-12829	720	39	n	n	PROPN
fumecheng-12829	720	40	p	p	NOUN
fumecheng-12829	720	41	n	n	CCONJ
fumecheng-12829	720	42	n	n	CCONJ
fumecheng-12829	720	43	p	p	NOUN
fumecheng-12829	720	44	n	n	PRON
fumecheng-12829	720	45			NOUN
fumecheng-12829	720	46			PROPN
fumecheng-12829	721	1	−	−	NOUN
fumecheng-12829	721	2	−	−	PROPN
fumecheng-12829	721	3	=	=	SYM
fumecheng-12829	721	4			PROPN
fumecheng-12829	721	5	−	−	PROPN
fumecheng-12829	721	6	−	−	PROPN
fumecheng-12829	721	7	d	d	PROPN
fumecheng-12829	721	8	a	a	PRON
fumecheng-12829	721	9	a	a	DET
fumecheng-12829	721	10	t	t	NOUN
fumecheng-12829	721	11	d	d	X
fumecheng-12829	721	12	a	a	DET
fumecheng-12829	721	13	a	a	DET
fumecheng-12829	721	14	t	t	NOUN
fumecheng-12829	721	15	b	b	PROPN
fumecheng-12829	722	1	d	d	NOUN
fumecheng-12829	722	2	a	a	DET
fumecheng-12829	722	3	a	a	DET
fumecheng-12829	722	4	t	t	NOUN
fumecheng-12829	722	5	d	d	X
fumecheng-12829	722	6	a	a	DET
fumecheng-12829	722	7	a	a	DET
fumecheng-12829	722	8	t	t	NOUN
fumecheng-12829	722	9	3	3	NUM
fumecheng-12829	722	10	3	3	NUM
fumecheng-12829	722	11	3	3	NUM
fumecheng-12829	722	12	4	4	NUM
fumecheng-12829	722	13	3	3	NUM
fumecheng-12829	722	14	3	3	NUM
fumecheng-12829	722	15	,	,	PUNCT
fumecheng-12829	722	16	1	1	NUM
fumecheng-12829	722	17	1	1	NUM
fumecheng-12829	722	18	1	1	NUM
fumecheng-12829	722	19	,	,	PUNCT
fumecheng-12829	722	20	1	1	NUM
fumecheng-12829	722	21	1	1	NUM
fumecheng-12829	722	22	,	,	PUNCT
fumecheng-12829	722	23	1	1	NUM
fumecheng-12829	722	24	1	1	NUM
fumecheng-12829	722	25	1	1	NUM
fumecheng-12829	722	26	,	,	PUNCT
fumecheng-12829	722	27	1	1	NUM
fumecheng-12829	722	28	1	1	NUM
fumecheng-12829	722	29	3	3	NUM
fumecheng-12829	722	30	3	3	NUM
fumecheng-12829	722	31	3	3	NUM
fumecheng-12829	722	32	4	4	NUM
fumecheng-12829	722	33	4	4	NUM
fumecheng-12829	722	34	4	4	NUM
fumecheng-12829	722	35	,	,	PUNCT
fumecheng-12829	722	36	2	2	NUM
fumecheng-12829	722	37	2	2	NUM
fumecheng-12829	722	38	2	2	NUM
fumecheng-12829	722	39	,	,	PUNCT
fumecheng-12829	722	40	2	2	NUM
fumecheng-12829	722	41	2	2	NUM
fumecheng-12829	722	42	,	,	PUNCT
fumecheng-12829	722	43	2	2	NUM
fumecheng-12829	722	44	2	2	NUM
fumecheng-12829	722	45	2	2	NUM
fumecheng-12829	722	46	,	,	PUNCT
fumecheng-12829	722	47	2	2	NUM
fumecheng-12829	722	48	2	2	NUM
fumecheng-12829	722	49	.	.	PUNCT
fumecheng-12829	722	50	.	.	PUNCT
fumecheng-12829	722	51	.	.	PUNCT
fumecheng-12829	723	1	.	.	PUNCT
fumecheng-12829	724	1	t	t	PROPN
fumecheng-12829	724	2	t	t	PROPN
fumecheng-12829	724	3	t	t	PROPN
fumecheng-12829	724	4	t	t	PROPN
fumecheng-12829	724	5	t	t	PROPN
fumecheng-12829	724	6	t	t	PROPN
fumecheng-12829	725	1	d	d	X
fumecheng-12829	725	2	d	d	PROPN
fumecheng-12829	725	3	d	d	PROPN
fumecheng-12829	725	4	d	d	PROPN
fumecheng-12829	725	5	d	d	PROPN
fumecheng-12829	725	6	d	d	PROPN
fumecheng-12829	725	7	d	d	PROPN
fumecheng-12829	725	8	d	d	PROPN
fumecheng-12829	725	9	d	d	PROPN
fumecheng-12829	725	10	d	d	PROPN
fumecheng-12829	725	11	t	t	PROPN
fumecheng-12829	725	12	t	t	PROPN
fumecheng-12829	725	13	t	t	PROPN
fumecheng-12829	725	14	t	t	PROPN
fumecheng-12829	725	15	t	t	PROPN
fumecheng-12829	725	16	t	t	NOUN
fumecheng-12829	725	17	c	c	NOUN
fumecheng-12829	725	18	c	c	NOUN
fumecheng-12829	725	19	c	c	NOUN
fumecheng-12829	725	20	c	c	PROPN
fumecheng-12829	725	21	c	c	PROPN
fumecheng-12829	725	22	a	a	DET
fumecheng-12829	725	23	a	a	DET
fumecheng-12829	725	24	a	a	DET
fumecheng-12829	725	25	a	a	DET
fumecheng-12829	725	26	a	a	DET
fumecheng-12829	725	27	n	n	NOUN
fumecheng-12829	725	28	p	p	NOUN
fumecheng-12829	725	29	n	n	CCONJ
fumecheng-12829	725	30	n	n	PROPN
fumecheng-12829	725	31	p	p	NOUN
fumecheng-12829	725	32	n	n	CCONJ
fumecheng-12829	725	33	n	n	PROPN
fumecheng-12829	725	34	p	p	NOUN
fumecheng-12829	725	35	n	n	CCONJ
fumecheng-12829	725	36	n	n	CCONJ
fumecheng-12829	725	37	p	p	NOUN
fumecheng-12829	725	38	n	n	PRON
fumecheng-12829	725	39	−	−	NOUN
fumecheng-12829	725	40	−	−	PROPN
fumecheng-12829	725	41			NOUN
fumecheng-12829	725	42	−	−	PROPN
fumecheng-12829	725	43	−	−	NOUN
fumecheng-12829	725	44			NUM
fumecheng-12829	726	1	d	d	NOUN
fumecheng-12829	726	2	a	a	DET
fumecheng-12829	726	3	a	a	DET
fumecheng-12829	726	4	t	t	NOUN
fumecheng-12829	726	5	d	d	X
fumecheng-12829	726	6	a	a	DET
fumecheng-12829	726	7	a	a	DET
fumecheng-12829	726	8	t	t	NOUN
fumecheng-12829	726	9	d	d	X
fumecheng-12829	726	10	a	a	DET
fumecheng-12829	726	11	a	a	DET
fumecheng-12829	726	12	t	t	NOUN
fumecheng-12829	726	13	d	d	X
fumecheng-12829	726	14	a	a	DET
fumecheng-12829	726	15	a	a	DET
fumecheng-12829	726	16	t	t	NOUN
fumecheng-12829	726	17	,	,	PUNCT
fumecheng-12829	726	18	(	(	PUNCT
fumecheng-12829	726	19	1	1	X
fumecheng-12829	726	20	)	)	PUNCT
fumecheng-12829	726	21	i	i	PRON
fumecheng-12829	726	22	i	i	PRON
fumecheng-12829	726	23	m	m	VERB
fumecheng-12829	726	24	mp	mp	NOUN
fumecheng-12829	727	1	n	n	ADV
fumecheng-12829	727	2			NOUN
fumecheng-12829	727	3	=	=	SYM
fumecheng-12829	727	4	−	−	NOUN
fumecheng-12829	727	5	transverse	transverse	ADJ
fumecheng-12829	727	6	shear	shear	NOUN
fumecheng-12829	727	7	,	,	PUNCT
fumecheng-12829	727	8	second	second	ADJ
fumecheng-12829	727	9	terme	terme	NOUN
fumecheng-12829	727	10	:	:	PUNCT
fumecheng-12829	727	11	1	1	NUM
fumecheng-12829	727	12	1.s	1.s	NUM
fumecheng-12829	727	13	n	n	NOUN
fumecheng-12829	727	14	=γ	=γ	PROPN
fumecheng-12829	727	15	b	b	SYM
fumecheng-12829	727	16	φ	φ	NUM
fumecheng-12829	727	17	1	1	NUM
fumecheng-12829	727	18	1	1	NUM
fumecheng-12829	727	19	1	1	NUM
fumecheng-12829	727	20	s	s	NOUN
fumecheng-12829	727	21			NOUN
fumecheng-12829	727	22	−=b	−=b	PUNCT
fumecheng-12829	727	23	j	j	PROPN
fumecheng-12829	727	24	b	b	SYM
fumecheng-12829	727	25	1	1	NUM
fumecheng-12829	727	26	1i	1i	NOUN
fumecheng-12829	727	27	i	i	PRON
fumecheng-12829	727	28			VERB
fumecheng-12829	727	29			PROPN
fumecheng-12829	727	30			PROPN
fumecheng-12829	727	31	=	=	NOUN
fumecheng-12829	727	32			NOUN
fumecheng-12829	727	33	b	b	NOUN
fumecheng-12829	727	34	0	0	NUM
fumecheng-12829	727	35	0	0	NUM
fumecheng-12829	727	36	b	b	SYM
fumecheng-12829	727	37	2	2	NUM
fumecheng-12829	727	38	2	2	NUM
fumecheng-12829	727	39	3	3	NUM
fumecheng-12829	727	40	3	3	NUM
fumecheng-12829	727	41	,	,	PUNCT
fumecheng-12829	727	42	1	1	NUM
fumecheng-12829	727	43	,	,	PUNCT
fumecheng-12829	727	44	1	1	NUM
fumecheng-12829	727	45	,	,	PUNCT
fumecheng-12829	727	46	1	1	NUM
fumecheng-12829	727	47	,	,	PUNCT
fumecheng-12829	727	48	1	1	NUM
fumecheng-12829	727	49	,	,	PUNCT
fumecheng-12829	727	50	1	1	NUM
fumecheng-12829	727	51	,	,	PUNCT
fumecheng-12829	727	52	1	1	NUM
fumecheng-12829	727	53	,	,	PUNCT
fumecheng-12829	727	54	1	1	NUM
fumecheng-12829	727	55	,	,	PUNCT
fumecheng-12829	727	56	11	11	NUM
fumecheng-12829	727	57	4	4	NUM
fumecheng-12829	727	58	3	3	NUM
fumecheng-12829	727	59	3	3	NUM
fumecheng-12829	727	60	4	4	NUM
fumecheng-12829	727	61	,	,	PUNCT
fumecheng-12829	727	62	2	2	NUM
fumecheng-12829	727	63	,	,	PUNCT
fumecheng-12829	727	64	2	2	NUM
fumecheng-12829	727	65	,	,	PUNCT
fumecheng-12829	727	66	2	2	NUM
fumecheng-12829	727	67	,	,	PUNCT
fumecheng-12829	727	68	2	2	NUM
fumecheng-12829	727	69	,	,	PUNCT
fumecheng-12829	727	70	2	2	NUM
fumecheng-12829	727	71	,	,	PUNCT
fumecheng-12829	727	72	2	2	NUM
fumecheng-12829	727	73	,	,	PUNCT
fumecheng-12829	727	74	2	2	NUM
fumecheng-12829	727	75	,	,	PUNCT
fumecheng-12829	727	76	2	2	NUM
fumecheng-12829	727	77	b	b	X
fumecheng-12829	727	78	b	b	PROPN
fumecheng-12829	727	79	d	d	PROPN
fumecheng-12829	727	80	d	d	PROPN
fumecheng-12829	727	81	a	a	PROPN
fumecheng-12829	727	82	c	c	NOUN
fumecheng-12829	727	83	c	c	PROPN
fumecheng-12829	727	84	a	a	DET
fumecheng-12829	727	85	n	n	CCONJ
fumecheng-12829	727	86	n	n	CCONJ
fumecheng-12829	727	87	n	n	CCONJ
fumecheng-12829	727	88	n	n	CCONJ
fumecheng-12829	727	89	n	n	CCONJ
fumecheng-12829	727	90	n	n	CCONJ
fumecheng-12829	727	91	n	n	CCONJ
fumecheng-12829	727	92	n	n	CCONJ
fumecheng-12829	727	93			PROPN
fumecheng-12829	727	94			ADJ
fumecheng-12829	727	95			ADJ
fumecheng-12829	727	96			ADJ
fumecheng-12829	727	97			ADJ
fumecheng-12829	727	98			ADJ
fumecheng-12829	727	99			ADJ
fumecheng-12829	727	100			ADJ
fumecheng-12829	727	101			ADJ
fumecheng-12829	727	102			PROPN
fumecheng-12829	727	103			NOUN
fumecheng-12829	727	104	=	=	NOUN
fumecheng-12829	727	105			NOUN
fumecheng-12829	727	106			NOUN
fumecheng-12829	727	107			NOUN
fumecheng-12829	727	108			PROPN
fumecheng-12829	727	109			PROPN
fumecheng-12829	727	110	b	b	NOUN
fumecheng-12829	727	111	1	1	NUM
fumecheng-12829	727	112	2	2	NUM
fumecheng-12829	727	113	3	3	NUM
fumecheng-12829	727	114	4	4	NUM
fumecheng-12829	727	115	,	,	PUNCT
fumecheng-12829	727	116	1	1	NUM
fumecheng-12829	727	117	,	,	PUNCT
fumecheng-12829	727	118	1	1	NUM
fumecheng-12829	727	119	,	,	PUNCT
fumecheng-12829	727	120	1	1	NUM
fumecheng-12829	727	121	,	,	PUNCT
fumecheng-12829	727	122	1	1	NUM
fumecheng-12829	727	123	1	1	NUM
fumecheng-12829	727	124	2	2	NUM
fumecheng-12829	727	125	3	3	NUM
fumecheng-12829	727	126	4	4	NUM
fumecheng-12829	727	127	,	,	PUNCT
fumecheng-12829	727	128	2	2	NUM
fumecheng-12829	727	129	,	,	PUNCT
fumecheng-12829	727	130	2	2	NUM
fumecheng-12829	727	131	,	,	PUNCT
fumecheng-12829	727	132	2	2	NUM
fumecheng-12829	727	133	,	,	PUNCT
fumecheng-12829	727	134	2	2	NUM
fumecheng-12829	727	135	(	(	PUNCT
fumecheng-12829	727	136	1	1	NUM
fumecheng-12829	727	137	)	)	PUNCT
fumecheng-12829	727	138	(	(	PUNCT
fumecheng-12829	727	139	1	1	X
fumecheng-12829	727	140	)	)	PUNCT
fumecheng-12829	727	141	(	(	PUNCT
fumecheng-12829	727	142	1	1	X
fumecheng-12829	727	143	)	)	PUNCT
fumecheng-12829	727	144	(	(	PUNCT
fumecheng-12829	727	145	1	1	X
fumecheng-12829	727	146	)	)	PUNCT
fumecheng-12829	727	147	(	(	PUNCT
fumecheng-12829	727	148	1	1	X
fumecheng-12829	727	149	)	)	PUNCT
fumecheng-12829	727	150	(	(	PUNCT
fumecheng-12829	727	151	1	1	X
fumecheng-12829	727	152	)	)	PUNCT
fumecheng-12829	727	153	(	(	PUNCT
fumecheng-12829	727	154	1	1	X
fumecheng-12829	727	155	)	)	PUNCT
fumecheng-12829	727	156	(	(	PUNCT
fumecheng-12829	727	157	1	1	X
fumecheng-12829	727	158	)	)	PUNCT
fumecheng-12829	727	159	b	b	NOUN
fumecheng-12829	727	160	b	b	X
fumecheng-12829	727	161	d	d	PROPN
fumecheng-12829	727	162	d	d	PROPN
fumecheng-12829	727	163	a	a	PROPN
fumecheng-12829	727	164	c	c	NOUN
fumecheng-12829	727	165	c	c	PROPN
fumecheng-12829	727	166	a	a	DET
fumecheng-12829	727	167	n	n	CCONJ
fumecheng-12829	727	168	n	n	CCONJ
fumecheng-12829	727	169	n	n	CCONJ
fumecheng-12829	727	170	n	n	CCONJ
fumecheng-12829	727	171	n	n	CCONJ
fumecheng-12829	727	172	n	n	CCONJ
fumecheng-12829	727	173	n	n	CCONJ
fumecheng-12829	727	174	n	n	NUM
fumecheng-12829	727	175			X
fumecheng-12829	727	176			ADJ
fumecheng-12829	727	177			ADJ
fumecheng-12829	727	178			ADJ
fumecheng-12829	727	179			ADJ
fumecheng-12829	727	180			ADJ
fumecheng-12829	727	181			ADJ
fumecheng-12829	727	182			ADJ
fumecheng-12829	727	183			PROPN
fumecheng-12829	727	184	−	−	NOUN
fumecheng-12829	727	185	−	−	ADP
fumecheng-12829	727	186	−	−	NUM
fumecheng-12829	727	187	−	−	PROPN
fumecheng-12829	727	188	+	+	NOUN
fumecheng-12829	727	189			NOUN
fumecheng-12829	727	190			NOUN
fumecheng-12829	727	191	−	−	NOUN
fumecheng-12829	727	192	−	−	NOUN
fumecheng-12829	727	193	−	−	PROPN
fumecheng-12829	727	194	−	−	PUNCT
fumecheng-12829	727	195			PROPN
fumecheng-12829	727	196			PROPN
fumecheng-12829	727	197	porosity	porosity	NOUN
fumecheng-12829	727	198	effects	effect	NOUN
fumecheng-12829	727	199	on	on	ADP
fumecheng-12829	727	200	nonlinear	nonlinear	ADJ
fumecheng-12829	727	201	static	static	ADJ
fumecheng-12829	727	202	performances	performance	NOUN
fumecheng-12829	727	203	of	of	ADP
fumecheng-12829	727	204	fg	fg	PROPN
fumecheng-12829	727	205	shells	shell	NOUN
fumecheng-12829	727	206	considering	consider	VERB
fumecheng-12829	727	207	thickness	thickness	NOUN
fumecheng-12829	727	208	stretching	stretch	VERB
fumecheng-12829	727	209	859	859	NUM
fumecheng-12829	727	210	appendix	appendix	NOUN
fumecheng-12829	727	211	b	b	NOUN
fumecheng-12829	727	212	:	:	PUNCT
fumecheng-12829	727	213	the	the	DET
fumecheng-12829	727	214	interpolation	interpolation	NOUN
fumecheng-12829	727	215	matrix	matrix	NOUN
fumecheng-12829	727	216	for	for	ADP
fumecheng-12829	727	217	enhancement	enhancement	NOUN
fumecheng-12829	727	218	of	of	ADP
fumecheng-12829	727	219	membrane	membrane	NOUN
fumecheng-12829	727	220	and	and	CCONJ
fumecheng-12829	727	221	transverse	transverse	VERB
fumecheng-12829	727	222	normal	normal	ADJ
fumecheng-12829	727	223	strain	strain	NOUN
fumecheng-12829	727	224	transverse	transverse	NOUN
fumecheng-12829	727	225	normal	normal	ADJ
fumecheng-12829	727	226	strain	strain	NOUN
fumecheng-12829	727	227	with	with	ADP
fumecheng-12829	727	228	one	one	NUM
fumecheng-12829	727	229	additional	additional	ADJ
fumecheng-12829	727	230	parameter	parameter	NOUN
fumecheng-12829	727	231	:	:	PUNCT
fumecheng-12829	727	232	6	6	NUM
fumecheng-12829	727	233	1	1	NUM
fumecheng-12829	727	234	0	0	NUM
fumecheng-12829	727	235	5	5	NUM
fumecheng-12829	727	236	12	12	NUM
fumecheng-12829	727	237	1	1	NUM
fumecheng-12829	727	238	/	/	SYM
fumecheng-12829	727	239	1a	1a	PROPN
fumecheng-12829	727	240	a	a	DET
fumecheng-12829	727	241			PROPN
fumecheng-12829	727	242			PROPN
fumecheng-12829	727	243			ADJ
fumecheng-12829	727	244			NOUN
fumecheng-12829	727	245			NOUN
fumecheng-12829	727	246	=	=	SYM
fumecheng-12829	727	247			NOUN
fumecheng-12829	727	248			NOUN
fumecheng-12829	727	249			NOUN
fumecheng-12829	727	250			PROPN
fumecheng-12829	727	251			PROPN
fumecheng-12829	727	252			NOUN
fumecheng-12829	727	253	0	0	PUNCT
fumecheng-12829	727	254	b	b	SYM
fumecheng-12829	727	255	0	0	NUM
fumecheng-12829	727	256	transverse	transverse	NOUN
fumecheng-12829	727	257	normal	normal	ADJ
fumecheng-12829	727	258	strain	strain	NOUN
fumecheng-12829	727	259	with	with	ADP
fumecheng-12829	727	260	four	four	NUM
fumecheng-12829	727	261	additional	additional	ADJ
fumecheng-12829	727	262	parameters	parameter	NOUN
fumecheng-12829	727	263	:	:	PUNCT
fumecheng-12829	727	264	6	6	NUM
fumecheng-12829	727	265	4	4	NUM
fumecheng-12829	727	266	4	4	NUM
fumecheng-12829	727	267	1	1	NUM
fumecheng-12829	727	268	4	4	NUM
fumecheng-12829	727	269	5	5	NUM
fumecheng-12829	727	270	4	4	NUM
fumecheng-12829	727	271	12	12	NUM
fumecheng-12829	727	272	4	4	NUM
fumecheng-12829	727	273	t	t	NOUN
fumecheng-12829	727	274			AUX
fumecheng-12829	727	275			PROPN
fumecheng-12829	727	276			PROPN
fumecheng-12829	727	277			PROPN
fumecheng-12829	727	278			PROPN
fumecheng-12829	727	279			ADJ
fumecheng-12829	727	280			NOUN
fumecheng-12829	727	281			NOUN
fumecheng-12829	727	282	=	=	SYM
fumecheng-12829	727	283			NOUN
fumecheng-12829	727	284			NOUN
fumecheng-12829	727	285			NOUN
fumecheng-12829	727	286			PROPN
fumecheng-12829	727	287			PROPN
fumecheng-12829	728	1			PROPN
fumecheng-12829	728	2	0	0	PUNCT
fumecheng-12829	729	1	b	b	X
fumecheng-12829	729	2	v	v	NUM
fumecheng-12829	729	3	0	0	NUM
fumecheng-12829	729	4	1	1	NUM
fumecheng-12829	729	5	1	1	NUM
fumecheng-12829	729	6	4	4	NUM
fumecheng-12829	729	7	0	0	NUM
fumecheng-12829	729	8	2	2	NUM
fumecheng-12829	729	9	1	1	NUM
fumecheng-12829	729	10	2	2	NUM
fumecheng-12829	729	11	1	1	NUM
fumecheng-12829	729	12	/a	/a	PUNCT
fumecheng-12829	729	13	a	a	DET
fumecheng-12829	729	14			NOUN
fumecheng-12829	729	15			NOUN
fumecheng-12829	729	16			NOUN
fumecheng-12829	729	17			NOUN
fumecheng-12829	729	18			X
fumecheng-12829	729	19			PROPN
fumecheng-12829	729	20			ADJ
fumecheng-12829	729	21			NOUN
fumecheng-12829	729	22			PROPN
fumecheng-12829	729	23			NOUN
fumecheng-12829	729	24	=	=	X
fumecheng-12829	729	25			NOUN
fumecheng-12829	729	26			NOUN
fumecheng-12829	729	27			NOUN
fumecheng-12829	729	28			NOUN
fumecheng-12829	729	29			NOUN
fumecheng-12829	729	30			PROPN
fumecheng-12829	729	31	v	v	NOUN
fumecheng-12829	729	32	enhanced	enhance	VERB
fumecheng-12829	729	33	membrane	membrane	NOUN
fumecheng-12829	729	34	and	and	CCONJ
fumecheng-12829	729	35	transverse	transverse	VERB
fumecheng-12829	729	36	normal	normal	ADJ
fumecheng-12829	729	37	strain	strain	NOUN
fumecheng-12829	729	38	with	with	ADP
fumecheng-12829	729	39	one	one	NUM
fumecheng-12829	729	40	additional	additional	ADJ
fumecheng-12829	729	41	parameter	parameter	NOUN
fumecheng-12829	729	42	:	:	PUNCT
fumecheng-12829	729	43	4	4	NUM
fumecheng-12829	729	44	4	4	NUM
fumecheng-12829	729	45	5	5	NUM
fumecheng-12829	729	46	1	1	NUM
fumecheng-12829	729	47	4	4	NUM
fumecheng-12829	729	48	4	4	NUM
fumecheng-12829	729	49	4	4	NUM
fumecheng-12829	729	50	4	4	NUM
fumecheng-12829	729	51	12	12	NUM
fumecheng-12829	729	52	5	5	NUM
fumecheng-12829	729	53			NOUN
fumecheng-12829	729	54			PROPN
fumecheng-12829	729	55			PROPN
fumecheng-12829	729	56			PROPN
fumecheng-12829	729	57			PROPN
fumecheng-12829	729	58			ADJ
fumecheng-12829	729	59			NOUN
fumecheng-12829	729	60			NOUN
fumecheng-12829	729	61	=	=	SYM
fumecheng-12829	729	62			NOUN
fumecheng-12829	729	63			NOUN
fumecheng-12829	729	64			NOUN
fumecheng-12829	729	65			NOUN
fumecheng-12829	729	66			NOUN
fumecheng-12829	729	67			PROPN
fumecheng-12829	729	68			NOUN
fumecheng-12829	730	1			PROPN
fumecheng-12829	730	2	g	g	PROPN
fumecheng-12829	730	3	b	b	PROPN
fumecheng-12829	730	4	b	b	PROPN
fumecheng-12829	730	5	0	0	NUM
fumecheng-12829	730	6	0	0	NUM
fumecheng-12829	730	7	enhanced	enhance	VERB
fumecheng-12829	730	8	membrane	membrane	NOUN
fumecheng-12829	730	9	and	and	CCONJ
fumecheng-12829	730	10	transverse	transverse	VERB
fumecheng-12829	730	11	normal	normal	ADJ
fumecheng-12829	730	12	strain	strain	NOUN
fumecheng-12829	730	13	with	with	ADP
fumecheng-12829	730	14	four	four	NUM
fumecheng-12829	730	15	additional	additional	ADJ
fumecheng-12829	730	16	parameters	parameter	NOUN
fumecheng-12829	730	17	:	:	PUNCT
fumecheng-12829	730	18	4	4	NUM
fumecheng-12829	730	19	4	4	NUM
fumecheng-12829	730	20	8	8	NUM
fumecheng-12829	730	21	4	4	NUM
fumecheng-12829	730	22	4	4	NUM
fumecheng-12829	730	23	4	4	NUM
fumecheng-12829	730	24	4	4	NUM
fumecheng-12829	730	25	4	4	NUM
fumecheng-12829	730	26	12	12	NUM
fumecheng-12829	730	27	8	8	NUM
fumecheng-12829	730	28			NOUN
fumecheng-12829	730	29			PROPN
fumecheng-12829	730	30			PROPN
fumecheng-12829	730	31			PROPN
fumecheng-12829	730	32			PROPN
fumecheng-12829	730	33			ADJ
fumecheng-12829	730	34			NOUN
fumecheng-12829	730	35			NOUN
fumecheng-12829	730	36	=	=	SYM
fumecheng-12829	730	37			NOUN
fumecheng-12829	730	38			NOUN
fumecheng-12829	730	39			NOUN
fumecheng-12829	730	40			NOUN
fumecheng-12829	730	41			NOUN
fumecheng-12829	730	42			PROPN
fumecheng-12829	730	43			NOUN
fumecheng-12829	731	1			PROPN
fumecheng-12829	731	2	g	g	PROPN
fumecheng-12829	731	3	b	b	PROPN
fumecheng-12829	731	4	b	b	PROPN
fumecheng-12829	731	5	0	0	NUM
fumecheng-12829	731	6	0	0	NUM
fumecheng-12829	731	7	appendix	appendix	VERB
fumecheng-12829	731	8	c	c	NOUN
fumecheng-12829	731	9	:	:	PUNCT
fumecheng-12829	731	10	geometric	geometric	ADJ
fumecheng-12829	731	11	tangent	tangent	NOUN
fumecheng-12829	731	12	matrix	matrix	NOUN
fumecheng-12829	731	13	components	component	NOUN
fumecheng-12829	731	14	6	6	NUM
fumecheng-12829	731	15	6	6	NUM
fumecheng-12829	731	16	(	(	PUNCT
fumecheng-12829	731	17	)	)	PUNCT
fumecheng-12829	731	18	(	(	PUNCT
fumecheng-12829	731	19	)	)	PUNCT
fumecheng-12829	731	20	(	(	PUNCT
fumecheng-12829	731	21	)	)	PUNCT
fumecheng-12829	731	22	ij	ij	INTJ
fumecheng-12829	732	1	ij	ij	INTJ
fumecheng-12829	732	2	ij	ij	INTJ
fumecheng-12829	733	1	ij	ij	INTJ
fumecheng-12829	733	2	ij	ij	INTJ
fumecheng-12829	733	3	gij	gij	INTJ
fumecheng-12829	733	4	ji	ji	PROPN
fumecheng-12829	734	1	ji	ji	PROPN
fumecheng-12829	735	1	ij	ij	INTJ
fumecheng-12829	735	2	ij	ij	INTJ
fumecheng-12829	736	1	ij	ij	INTJ
fumecheng-12829	736	2	ij	ij	INTJ
fumecheng-12829	736	3	t	t	PROPN
fumecheng-12829	736	4	t	t	PROPN
fumecheng-12829	737	1	t	t	PROPN
fumecheng-12829	737	2	t	t	PROPN
fumecheng-12829	737	3	ji	ji	INTJ
fumecheng-12829	738	1	ji	ji	INTJ
fumecheng-12829	738	2	ji	ji	PROPN
fumecheng-12829	738	3	ji	ji	PROPN
fumecheng-12829	738	4	ij	ij	PROPN
fumecheng-12829	738	5	uum	uum	PROPN
fumecheng-12829	738	6	ubf	ubf	PROPN
fumecheng-12829	738	7	ubc	ubc	PROPN
fumecheng-12829	738	8	ubf	ubf	PROPN
fumecheng-12829	738	9	ubc	ubc	PROPN
fumecheng-12829	738	10	bbf	bbf	PROPN
fumecheng-12829	738	11	bbc	bbc	PROPN
fumecheng-12829	738	12	ll	ll	AUX
fumecheng-12829	738	13			VERB
fumecheng-12829	738	14	+	+	CCONJ
fumecheng-12829	739	1	+	+	ADJ
fumecheng-12829	739	2			ADJ
fumecheng-12829	739	3			ADJ
fumecheng-12829	739	4			NOUN
fumecheng-12829	739	5			NOUN
fumecheng-12829	739	6	=	=	PUNCT
fumecheng-12829	740	1	+	+	PUNCT
fumecheng-12829	740	2	+	+	CCONJ
fumecheng-12829	740	3	+	+	CCONJ
fumecheng-12829	740	4			NOUN
fumecheng-12829	740	5			NOUN
fumecheng-12829	740	6			NOUN
fumecheng-12829	740	7	+	+	PROPN
fumecheng-12829	740	8	+	+	PROPN
fumecheng-12829	740	9			PROPN
fumecheng-12829	740	10			PROPN
fumecheng-12829	741	1	i	i	PRON
fumecheng-12829	741	2	i	i	PROPN
fumecheng-12829	741	3	ulf	ulf	PROPN
fumecheng-12829	741	4	ulc	ulc	PROPN
fumecheng-12829	742	1	k	k	PROPN
fumecheng-12829	743	1	i	i	PRON
fumecheng-12829	743	2	i	i	PRON
fumecheng-12829	743	3	blf	blf	PROPN
fumecheng-12829	743	4	blc	blc	PROPN
fumecheng-12829	743	5	ulf	ulf	PROPN
fumecheng-12829	743	6	ulc	ulc	PROPN
fumecheng-12829	743	7	blf	blf	PROPN
fumecheng-12829	743	8	blc	blc	PROPN
fumecheng-12829	743	9	components	component	NOUN
fumecheng-12829	743	10	of	of	ADP
fumecheng-12829	743	11	gijk	gijk	NOUN
fumecheng-12829	743	12	:	:	PUNCT
fumecheng-12829	743	13	(	(	PUNCT
fumecheng-12829	743	14	)	)	PUNCT
fumecheng-12829	743	15	11	11	NUM
fumecheng-12829	743	16	12	12	NUM
fumecheng-12829	743	17	12	12	NUM
fumecheng-12829	743	18	22	22	NUM
fumecheng-12829	743	19	,	,	PUNCT
fumecheng-12829	743	20	1	1	NUM
fumecheng-12829	743	21	,	,	PUNCT
fumecheng-12829	743	22	1	1	NUM
fumecheng-12829	743	23	,	,	PUNCT
fumecheng-12829	743	24	2	2	NUM
fumecheng-12829	743	25	,	,	PUNCT
fumecheng-12829	743	26	2	2	NUM
fumecheng-12829	743	27	,	,	PUNCT
fumecheng-12829	743	28	1	1	NUM
fumecheng-12829	743	29	,	,	PUNCT
fumecheng-12829	743	30	2	2	NUM
fumecheng-12829	743	31	(	(	PUNCT
fumecheng-12829	743	32	)	)	PUNCT
fumecheng-12829	743	33	(	(	PUNCT
fumecheng-12829	743	34	)	)	PUNCT
fumecheng-12829	744	1	i	i	PRON
fumecheng-12829	744	2	j	j	PROPN
fumecheng-12829	745	1	j	j	INTJ
fumecheng-12829	746	1	i	i	PRON
fumecheng-12829	746	2	j	j	PROPN
fumecheng-12829	747	1	j	j	PROPN
fumecheng-12829	747	2	ij	ij	INTJ
fumecheng-12829	747	3	a	a	DET
fumecheng-12829	747	4	uum	uum	PROPN
fumecheng-12829	747	5	n	n	CCONJ
fumecheng-12829	747	6	n	n	CCONJ
fumecheng-12829	747	7	n	n	CCONJ
fumecheng-12829	747	8	n	n	CCONJ
fumecheng-12829	747	9	n	n	CCONJ
fumecheng-12829	747	10	n	n	CCONJ
fumecheng-12829	747	11	n	n	CCONJ
fumecheng-12829	747	12	n	n	CCONJ
fumecheng-12829	747	13	n	n	CCONJ
fumecheng-12829	747	14	n	n	ADV
fumecheng-12829	747	15	da=	da=	VERB
fumecheng-12829	747	16	+	+	X
fumecheng-12829	748	1	+	+	PUNCT
fumecheng-12829	749	1	+	+	ADJ
fumecheng-12829	749	2			X
fumecheng-12829	749	3	(	(	PUNCT
fumecheng-12829	749	4	)	)	PUNCT
fumecheng-12829	749	5	11	11	NUM
fumecheng-12829	749	6	12	12	NUM
fumecheng-12829	749	7	12	12	NUM
fumecheng-12829	749	8	22	22	NUM
fumecheng-12829	749	9	,	,	PUNCT
fumecheng-12829	749	10	1	1	NUM
fumecheng-12829	749	11	1	1	NUM
fumecheng-12829	749	12	2	2	NUM
fumecheng-12829	749	13	,	,	PUNCT
fumecheng-12829	749	14	2	2	NUM
fumecheng-12829	749	15	1	1	NUM
fumecheng-12829	749	16	2	2	NUM
fumecheng-12829	749	17	(	(	PUNCT
fumecheng-12829	749	18	)	)	PUNCT
fumecheng-12829	749	19	(	(	PUNCT
fumecheng-12829	749	20	)	)	PUNCT
fumecheng-12829	749	21	i	i	PRON
fumecheng-12829	750	1	j	j	PROPN
fumecheng-12829	751	1	j	j	INTJ
fumecheng-12829	752	1	i	i	PRON
fumecheng-12829	752	2	j	j	PROPN
fumecheng-12829	753	1	j	j	PROPN
fumecheng-12829	753	2	ij	ij	INTJ
fumecheng-12829	753	3	a	a	DET
fumecheng-12829	753	4	ubf	ubf	NOUN
fumecheng-12829	754	1	n	n	PRON
fumecheng-12829	754	2	m	m	NOUN
fumecheng-12829	754	3	l	l	NOUN
fumecheng-12829	754	4	m	m	VERB
fumecheng-12829	754	5	l	l	NOUN
fumecheng-12829	754	6	n	n	X
fumecheng-12829	754	7	m	m	PROPN
fumecheng-12829	754	8	l	l	NOUN
fumecheng-12829	754	9	m	m	VERB
fumecheng-12829	754	10	l	l	NOUN
fumecheng-12829	754	11	da=	da=	NOUN
fumecheng-12829	754	12	+	+	X
fumecheng-12829	755	1	+	+	PUNCT
fumecheng-12829	756	1	+	+	ADJ
fumecheng-12829	756	2			X
fumecheng-12829	756	3	(	(	PUNCT
fumecheng-12829	756	4	)	)	PUNCT
fumecheng-12829	756	5	11	11	NUM
fumecheng-12829	756	6	12	12	NUM
fumecheng-12829	756	7	12	12	NUM
fumecheng-12829	756	8	22	22	NUM
fumecheng-12829	756	9	,	,	PUNCT
fumecheng-12829	756	10	1	1	NUM
fumecheng-12829	756	11	1	1	NUM
fumecheng-12829	756	12	2	2	NUM
fumecheng-12829	756	13	,	,	PUNCT
fumecheng-12829	756	14	2	2	NUM
fumecheng-12829	756	15	1	1	NUM
fumecheng-12829	756	16	2	2	NUM
fumecheng-12829	756	17	0	0	NUM
fumecheng-12829	756	18	(	(	PUNCT
fumecheng-12829	756	19	)	)	PUNCT
fumecheng-12829	757	1	(	(	PUNCT
fumecheng-12829	757	2	)	)	PUNCT
fumecheng-12829	757	3	ij	ij	INTJ
fumecheng-12829	757	4	i	i	PRON
fumecheng-12829	758	1	i	i	PRON
fumecheng-12829	758	2	ii	ii	VERB
fumecheng-12829	759	1	i	i	PRON
fumecheng-12829	759	2	a	a	DET
fumecheng-12829	759	3	bbf	bbf	NOUN
fumecheng-12829	759	4	if	if	SCONJ
fumecheng-12829	759	5	i	i	PRON
fumecheng-12829	759	6	j	j	PROPN
fumecheng-12829	759	7	bbf	bbf	PROPN
fumecheng-12829	759	8	l	l	PROPN
fumecheng-12829	759	9	m	m	VERB
fumecheng-12829	759	10	m	m	VERB
fumecheng-12829	759	11	l	l	NOUN
fumecheng-12829	759	12	m	m	VERB
fumecheng-12829	759	13	m	m	VERB
fumecheng-12829	759	14	da	da	ADJ
fumecheng-12829	759	15	=	=	SYM
fumecheng-12829	759	16			NOUN
fumecheng-12829	759	17			NOUN
fumecheng-12829	759	18	=	=	PUNCT
fumecheng-12829	760	1	−	−	PROPN
fumecheng-12829	761	1	+	+	CCONJ
fumecheng-12829	761	2	+	+	PUNCT
fumecheng-12829	761	3	+	+	ADJ
fumecheng-12829	761	4			NOUN
fumecheng-12829	761	5			PUNCT
fumecheng-12829	761	6	n	n	CCONJ
fumecheng-12829	761	7	n	n	CCONJ
fumecheng-12829	761	8	n	n	CCONJ
fumecheng-12829	761	9	n	n	PROPN
fumecheng-12829	761	10	t	t	PROPN
fumecheng-12829	761	11	(	(	PUNCT
fumecheng-12829	761	12	)	)	PUNCT
fumecheng-12829	761	13	11	11	NUM
fumecheng-12829	761	14	12	12	NUM
fumecheng-12829	761	15	12	12	NUM
fumecheng-12829	761	16	22	22	NUM
fumecheng-12829	761	17	,	,	PUNCT
fumecheng-12829	761	18	1	1	NUM
fumecheng-12829	761	19	1	1	NUM
fumecheng-12829	761	20	2	2	NUM
fumecheng-12829	761	21	,	,	PUNCT
fumecheng-12829	761	22	2	2	NUM
fumecheng-12829	761	23	1	1	NUM
fumecheng-12829	761	24	2	2	NUM
fumecheng-12829	761	25	(	(	PUNCT
fumecheng-12829	761	26	)	)	PUNCT
fumecheng-12829	761	27	(	(	PUNCT
fumecheng-12829	761	28	)	)	PUNCT
fumecheng-12829	761	29	i	i	PRON
fumecheng-12829	761	30	j	j	PROPN
fumecheng-12829	762	1	j	j	INTJ
fumecheng-12829	763	1	i	i	PRON
fumecheng-12829	763	2	j	j	PROPN
fumecheng-12829	764	1	j	j	PROPN
fumecheng-12829	764	2	ij	ij	INTJ
fumecheng-12829	764	3	a	a	DET
fumecheng-12829	764	4	n	n	NOUN
fumecheng-12829	764	5	m	m	VERB
fumecheng-12829	764	6	m	m	VERB
fumecheng-12829	764	7	n	n	ADV
fumecheng-12829	764	8	m	m	VERB
fumecheng-12829	764	9	m	m	VERB
fumecheng-12829	764	10	da=	da=	ADJ
fumecheng-12829	764	11	+	+	X
fumecheng-12829	765	1	+	+	PUNCT
fumecheng-12829	766	1	+	+	ADJ
fumecheng-12829	766	2	ulf	ulf	ADJ
fumecheng-12829	766	3	m	m	VERB
fumecheng-12829	766	4	m	m	VERB
fumecheng-12829	766	5	m	m	VERB
fumecheng-12829	766	6	m	m	PROPN
fumecheng-12829	766	7	860	860	NUM
fumecheng-12829	766	8	h.	h.	PROPN
fumecheng-12829	766	9	mallek	mallek	PROPN
fumecheng-12829	766	10	,	,	PUNCT
fumecheng-12829	766	11	h.	h.	PROPN
fumecheng-12829	766	12	mellouli	mellouli	PROPN
fumecheng-12829	766	13	,	,	PUNCT
fumecheng-12829	766	14	l.	l.	PROPN
fumecheng-12829	766	15	ben	ben	PROPN
fumecheng-12829	766	16	said	say	VERB
fumecheng-12829	766	17	,	,	PUNCT
fumecheng-12829	766	18	m.	m.	PROPN
fumecheng-12829	766	19	wali	wali	PROPN
fumecheng-12829	766	20	,	,	PUNCT
fumecheng-12829	766	21	f.	f.	PROPN
fumecheng-12829	766	22	dammak	dammak	PROPN
fumecheng-12829	766	23	,	,	PUNCT
fumecheng-12829	766	24	m.	m.	NOUN
fumecheng-12829	766	25	alhadri	alhadri	ADJ
fumecheng-12829	766	26	(	(	PUNCT
fumecheng-12829	766	27	)	)	PUNCT
fumecheng-12829	766	28	11	11	NUM
fumecheng-12829	766	29	12	12	NUM
fumecheng-12829	766	30	12	12	NUM
fumecheng-12829	766	31	22	22	NUM
fumecheng-12829	766	32	1	1	NUM
fumecheng-12829	766	33	1	1	NUM
fumecheng-12829	766	34	2	2	NUM
fumecheng-12829	766	35	2	2	NUM
fumecheng-12829	766	36	1	1	NUM
fumecheng-12829	766	37	1	1	NUM
fumecheng-12829	766	38	2	2	NUM
fumecheng-12829	766	39	2	2	NUM
fumecheng-12829	766	40	(	(	PUNCT
fumecheng-12829	766	41	)	)	PUNCT
fumecheng-12829	766	42	(	(	PUNCT
fumecheng-12829	766	43	)	)	PUNCT
fumecheng-12829	766	44	ij	ij	INTJ
fumecheng-12829	767	1	ij	ij	INTJ
fumecheng-12829	767	2	ij	ij	INTJ
fumecheng-12829	767	3	ij	ij	INTJ
fumecheng-12829	767	4	ij	ij	INTJ
fumecheng-12829	767	5	a	a	DET
fumecheng-12829	767	6	m	m	NOUN
fumecheng-12829	767	7	n	n	NOUN
fumecheng-12829	767	8	m	m	NOUN
fumecheng-12829	767	9	n	n	PRON
fumecheng-12829	767	10	m	m	PROPN
fumecheng-12829	767	11	n	n	PRON
fumecheng-12829	767	12	m	m	VERB
fumecheng-12829	767	13	n	n	PRON
fumecheng-12829	767	14	da=	da=	ADJ
fumecheng-12829	767	15	−	−	PROPN
fumecheng-12829	768	1	+	+	CCONJ
fumecheng-12829	769	1	+	+	PUNCT
fumecheng-12829	770	1	+	+	ADJ
fumecheng-12829	770	2	blf	blf	PROPN
fumecheng-12829	770	3	n	n	CCONJ
fumecheng-12829	770	4	n	n	CCONJ
fumecheng-12829	770	5	n	n	CCONJ
fumecheng-12829	770	6	n	n	ADV
fumecheng-12829	770	7	33	33	NUM
fumecheng-12829	770	8	0ij	0ij	ADJ
fumecheng-12829	771	1	i	i	PRON
fumecheng-12829	771	2	ii	ii	VERB
fumecheng-12829	771	3	a	a	DET
fumecheng-12829	771	4	ll	ll	NOUN
fumecheng-12829	771	5	if	if	SCONJ
fumecheng-12829	771	6	i	i	PRON
fumecheng-12829	771	7	j	j	VERB
fumecheng-12829	772	1	ll	ll	VERB
fumecheng-12829	772	2	n	n	CCONJ
fumecheng-12829	772	3	n	n	CCONJ
fumecheng-12829	772	4	da	da	X
fumecheng-12829	772	5	=	=	SYM
fumecheng-12829	772	6			NOUN
fumecheng-12829	772	7			NUM
fumecheng-12829	772	8	=	=	NOUN
fumecheng-12829	772	9			PROPN
fumecheng-12829	772	10			X
fumecheng-12829	772	11	,	,	PUNCT
fumecheng-12829	772	12	,	,	PUNCT
fumecheng-12829	772	13	(	(	PUNCT
fumecheng-12829	772	14	1	1	X
fumecheng-12829	772	15	)	)	PUNCT
fumecheng-12829	772	16	i	i	PRON
fumecheng-12829	773	1	i	i	PRON
fumecheng-12829	773	2	il	il	VERB
fumecheng-12829	773	3	n	n	ADV
fumecheng-12829	773	4	n	n	ADJ
fumecheng-12829	773	5			NOUN
fumecheng-12829	773	6			NUM
fumecheng-12829	773	7	=	=	NOUN
fumecheng-12829	773	8	−	−	NOUN
fumecheng-12829	773	9	−	−	NOUN
fumecheng-12829	773	10	,	,	PUNCT
fumecheng-12829	773	11	,	,	PUNCT
fumecheng-12829	773	12	(	(	PUNCT
fumecheng-12829	773	13	)	)	PUNCT
fumecheng-12829	773	14	i	i	PRON
fumecheng-12829	773	15	i	i	PRON
fumecheng-12829	773	16	in	in	ADP
fumecheng-12829	773	17	n	n	ADJ
fumecheng-12829	773	18			NOUN
fumecheng-12829	773	19	=	=	ADJ
fumecheng-12829	773	20	−	−	PROPN
fumecheng-12829	773	21	+	+	NOUN
fumecheng-12829	773	22	m	m	PROPN
fumecheng-12829	773	23	t	t	NOUN
fumecheng-12829	773	24	t	t	NOUN
fumecheng-12829	773	25	,	,	PUNCT
fumecheng-12829	773	26	,	,	PUNCT
fumecheng-12829	773	27	ij	ij	INTJ
fumecheng-12829	774	1	i	i	PRON
fumecheng-12829	774	2	j	j	PROPN
fumecheng-12829	775	1	i	i	PRON
fumecheng-12829	775	2	jn	jn	PROPN
fumecheng-12829	775	3	n	n	PROPN
fumecheng-12829	775	4	n	n	CCONJ
fumecheng-12829	775	5	n	n	CCONJ
fumecheng-12829	775	6	n	n	ADJ
fumecheng-12829	775	7			NOUN
fumecheng-12829	775	8	=	=	ADJ
fumecheng-12829	775	9	+	+	PROPN
fumecheng-12829	775	10	0	0	NUM
fumecheng-12829	775	11	01	01	NUM
fumecheng-12829	775	12	08	08	NUM
fumecheng-12829	775	13	0	0	NUM
fumecheng-12829	776	1	a	a	DET
fumecheng-12829	776	2	b	b	PROPN
fumecheng-12829	776	3	b	b	PROPN
fumecheng-12829	776	4	a	a	DET
fumecheng-12829	776	5	b	b	PROPN
fumecheng-12829	776	6	b	b	PROPN
fumecheng-12829	776	7	c	c	NOUN
fumecheng-12829	776	8	c	c	NOUN
fumecheng-12829	776	9	c	c	NOUN
fumecheng-12829	777	1	c	c	NOUN
fumecheng-12829	777	2	d	d	PROPN
fumecheng-12829	777	3	d	d	X
fumecheng-12829	777	4	a	a	X
fumecheng-12829	777	5	d	d	X
fumecheng-12829	777	6	a	a	PRON
fumecheng-12829	777	7	d	d	NOUN
fumecheng-12829	777	8	−	−	NOUN
fumecheng-12829	777	9	−	−	NOUN
fumecheng-12829	777	10	−	−	NOUN
fumecheng-12829	778	1	−	−	NOUN
fumecheng-12829	778	2			PRON
fumecheng-12829	778	3			NOUN
fumecheng-12829	778	4			NOUN
fumecheng-12829	778	5	−	−	NOUN
fumecheng-12829	778	6	−	−	PROPN
fumecheng-12829	778	7			PROPN
fumecheng-12829	778	8	=	=	SYM
fumecheng-12829	778	9			NOUN
fumecheng-12829	778	10	+	+	PROPN
fumecheng-12829	778	11			NOUN
fumecheng-12829	778	12			NOUN
fumecheng-12829	778	13	−	−	NOUN
fumecheng-12829	778	14	−	−	PROPN
fumecheng-12829	778	15			PROPN
fumecheng-12829	778	16	ubc	ubc	PROPN
fumecheng-12829	778	17	1	1	NUM
fumecheng-12829	778	18	8	8	NUM
fumecheng-12829	778	19	−	−	NUM
fumecheng-12829	778	20	−	−	NOUN
fumecheng-12829	778	21	−	−	NOUN
fumecheng-12829	778	22	−	−	NOUN
fumecheng-12829	778	23			DET
fumecheng-12829	778	24			NOUN
fumecheng-12829	778	25			NOUN
fumecheng-12829	778	26	−	−	NOUN
fumecheng-12829	778	27	−	−	PROPN
fumecheng-12829	778	28			PROPN
fumecheng-12829	778	29	=	=	SYM
fumecheng-12829	778	30			NOUN
fumecheng-12829	778	31	+	+	PROPN
fumecheng-12829	778	32			NOUN
fumecheng-12829	778	33			NOUN
fumecheng-12829	778	34	−	−	NOUN
fumecheng-12829	778	35	−	−	PROPN
fumecheng-12829	778	36			PROPN
fumecheng-12829	778	37	a	a	DET
fumecheng-12829	778	38	b	b	PROPN
fumecheng-12829	778	39	b	b	PROPN
fumecheng-12829	778	40	0	0	NUM
fumecheng-12829	778	41	a	a	DET
fumecheng-12829	778	42	b	b	PROPN
fumecheng-12829	778	43	b	b	PROPN
fumecheng-12829	778	44	c	c	PROPN
fumecheng-12829	778	45	c	c	PROPN
fumecheng-12829	778	46	0	0	PUNCT
fumecheng-12829	779	1	ulc	ulc	PROPN
fumecheng-12829	779	2	0	0	PROPN
fumecheng-12829	780	1	c	c	NOUN
fumecheng-12829	780	2	c	c	PROPN
fumecheng-12829	781	1	d	d	PROPN
fumecheng-12829	781	2	d	d	NOUN
fumecheng-12829	781	3	a	a	PRON
fumecheng-12829	781	4	0	0	NUM
fumecheng-12829	781	5	d	d	NOUN
fumecheng-12829	781	6	a	a	PRON
fumecheng-12829	781	7	d	d	PROPN
fumecheng-12829	781	8	1	1	NUM
fumecheng-12829	781	9	8	8	NUM
fumecheng-12829	781	10	+	+	NUM
fumecheng-12829	781	11			PROPN
fumecheng-12829	781	12			ADJ
fumecheng-12829	781	13			NOUN
fumecheng-12829	781	14			NOUN
fumecheng-12829	781	15	+	+	CCONJ
fumecheng-12829	781	16			NOUN
fumecheng-12829	781	17	=	=	NOUN
fumecheng-12829	781	18	−	−	NOUN
fumecheng-12829	781	19			NOUN
fumecheng-12829	781	20	+	+	NOUN
fumecheng-12829	781	21			NOUN
fumecheng-12829	781	22			NOUN
fumecheng-12829	781	23	+	+	ADP
fumecheng-12829	781	24			NOUN
fumecheng-12829	781	25			PROPN
fumecheng-12829	781	26	α	α	NOUN
fumecheng-12829	781	27	β	β	X
fumecheng-12829	781	28	β	β	X
fumecheng-12829	781	29	0	0	PUNCT
fumecheng-12829	781	30	α	α	PRON
fumecheng-12829	781	31	β	β	X
fumecheng-12829	781	32	β	β	X
fumecheng-12829	781	33	γ	γ	X
fumecheng-12829	781	34	γ	γ	X
fumecheng-12829	781	35	0	0	PROPN
fumecheng-12829	781	36	blc	blc	NOUN
fumecheng-12829	781	37	0	0	NUM
fumecheng-12829	781	38	γ	γ	PROPN
fumecheng-12829	781	39	γ	γ	PROPN
fumecheng-12829	781	40	δ	δ	PROPN
fumecheng-12829	781	41	δ	δ	PROPN
fumecheng-12829	781	42	α	α	NOUN
fumecheng-12829	781	43	0	0	NUM
fumecheng-12829	781	44	δ	δ	PROPN
fumecheng-12829	781	45	α	α	PROPN
fumecheng-12829	781	46	δ	δ	PROPN
fumecheng-12829	781	47			PROPN
fumecheng-12829	781	48	1	1	NOUN
fumecheng-12829	781	49	1	1	NUM
fumecheng-12829	781	50	2	2	NUM
fumecheng-12829	781	51	2	2	NUM
fumecheng-12829	781	52	3	3	NUM
fumecheng-12829	781	53	3	3	NUM
fumecheng-12829	781	54	4	4	NUM
fumecheng-12829	781	55	4	4	NUM
fumecheng-12829	781	56	1	1	NUM
fumecheng-12829	781	57	diag	diag	NOUN
fumecheng-12829	781	58	.	.	PUNCT
fumecheng-12829	781	59	.	.	PUNCT
fumecheng-12829	781	60	.	.	PUNCT
fumecheng-12829	781	61	.	.	PUNCT
fumecheng-12829	782	1	4	4	NUM
fumecheng-12829	782	2	=	=	SYM
fumecheng-12829	782	3	−bbc	−bbc	NOUN
fumecheng-12829	782	4	g	g	PROPN
fumecheng-12829	783	1	d	d	NOUN
fumecheng-12829	783	2	i	i	PRON
fumecheng-12829	783	3	g	g	PROPN
fumecheng-12829	784	1	d	d	NOUN
fumecheng-12829	784	2	i	i	PRON
fumecheng-12829	784	3	g	g	PROPN
fumecheng-12829	785	1	d	d	NOUN
fumecheng-12829	785	2	i	i	PRON
fumecheng-12829	785	3	g	g	PROPN
fumecheng-12829	786	1	d	d	NOUN
fumecheng-12829	786	2	i	i	NOUN
fumecheng-12829	786	3	2	2	NUM
fumecheng-12829	786	4	0(1	0(1	NUM
fumecheng-12829	786	5	)	)	PUNCT
fumecheng-12829	786	6	a	a	DET
fumecheng-12829	786	7	a	a	DET
fumecheng-12829	786	8	t	t	NOUN
fumecheng-12829	786	9	da=	da=	NOUN
fumecheng-12829	786	10	−	−	NOUN
fumecheng-12829	786	11	1	1	NUM
fumecheng-12829	786	12	0(1	0(1	NUM
fumecheng-12829	786	13	)	)	PUNCT
fumecheng-12829	787	1	a	a	DET
fumecheng-12829	787	2	b	b	NOUN
fumecheng-12829	787	3	t	t	NOUN
fumecheng-12829	787	4	da=	da=	PROPN
fumecheng-12829	787	5	−	−	NOUN
fumecheng-12829	787	6	2	2	NUM
fumecheng-12829	787	7	0(1	0(1	NUM
fumecheng-12829	787	8	)	)	PUNCT
fumecheng-12829	787	9	a	a	DET
fumecheng-12829	787	10	c	c	NOUN
fumecheng-12829	787	11	t	t	NOUN
fumecheng-12829	787	12	da=	da=	ADP
fumecheng-12829	787	13	+	+	ADJ
fumecheng-12829	787	14			PROPN
fumecheng-12829	787	15	1	1	NUM
fumecheng-12829	787	16	0(1	0(1	NUM
fumecheng-12829	787	17	)	)	PUNCT
fumecheng-12829	788	1	a	a	DET
fumecheng-12829	788	2	d	d	NOUN
fumecheng-12829	788	3	t	t	X
fumecheng-12829	788	4	da=	da=	VERB
fumecheng-12829	788	5	+	+	PROPN
fumecheng-12829	788	6			X
fumecheng-12829	788	7	(	(	PUNCT
fumecheng-12829	788	8	1	1	X
fumecheng-12829	788	9	)	)	PUNCT
fumecheng-12829	788	10	aa	aa	NOUN
fumecheng-12829	788	11	a=	a=	VERB
fumecheng-12829	788	12	−	−	X
fumecheng-12829	789	1	(	(	PUNCT
fumecheng-12829	789	2	1	1	X
fumecheng-12829	789	3	)	)	PUNCT
fumecheng-12829	789	4	bb	bb	NOUN
fumecheng-12829	789	5	b=	b=	NOUN
fumecheng-12829	790	1	−	−	PROPN
fumecheng-12829	790	2	(	(	PUNCT
fumecheng-12829	790	3	1	1	X
fumecheng-12829	790	4	)	)	PUNCT
fumecheng-12829	790	5	cc	cc	NOUN
fumecheng-12829	790	6	c=	c=	NOUN
fumecheng-12829	790	7	−	−	PROPN
fumecheng-12829	790	8	(	(	PUNCT
fumecheng-12829	790	9	1	1	X
fumecheng-12829	790	10	)	)	PUNCT
fumecheng-12829	790	11	dd	dd	NOUN
fumecheng-12829	790	12	d=	d=	NUM
fumecheng-12829	790	13	−	−	PROPN
fumecheng-12829	791	1	aa	aa	NOUN
fumecheng-12829	791	2	=	=	PROPN
fumecheng-12829	791	3	a	a	PRON
fumecheng-12829	791	4	t	t	NOUN
fumecheng-12829	791	5	bb	bb	NOUN
fumecheng-12829	791	6	=	=	PROPN
fumecheng-12829	791	7	b	b	PROPN
fumecheng-12829	791	8	t	t	NOUN
fumecheng-12829	791	9	cc	cc	PROPN
fumecheng-12829	791	10	=	=	PROPN
fumecheng-12829	791	11	c	c	PROPN
fumecheng-12829	791	12	t	t	NOUN
fumecheng-12829	791	13	dd	dd	VERB
fumecheng-12829	791	14	=	=	PROPN
fumecheng-12829	791	15	d	d	NOUN
fumecheng-12829	791	16	t	t	NOUN
fumecheng-12829	791	17	2(1	2(1	NUM
fumecheng-12829	791	18	)	)	PUNCT
fumecheng-12829	791	19	a	a	DET
fumecheng-12829	791	20	a	a	DET
fumecheng-12829	791	21	a	a	DET
fumecheng-12829	791	22	a	a	DET
fumecheng-12829	791	23	=	=	SYM
fumecheng-12829	791	24	−g	−g	NOUN
fumecheng-12829	791	25	a	a	DET
fumecheng-12829	791	26	1(1	1(1	NUM
fumecheng-12829	791	27	)	)	PUNCT
fumecheng-12829	791	28	b	b	PROPN
fumecheng-12829	792	1	b	b	PROPN
fumecheng-12829	792	2	b	b	PROPN
fumecheng-12829	792	3	b	b	PROPN
fumecheng-12829	792	4	=	=	SYM
fumecheng-12829	792	5	−g	−g	VERB
fumecheng-12829	792	6	a	a	DET
fumecheng-12829	792	7	2(1	2(1	NOUN
fumecheng-12829	792	8	)	)	PUNCT
fumecheng-12829	793	1	c	c	NOUN
fumecheng-12829	794	1	c	c	NOUN
fumecheng-12829	794	2	c	c	NOUN
fumecheng-12829	794	3	c	c	NOUN
fumecheng-12829	794	4	=	=	SYM
fumecheng-12829	794	5	−g	−g	VERB
fumecheng-12829	794	6	a	a	DET
fumecheng-12829	794	7	1(1	1(1	NUM
fumecheng-12829	794	8	)	)	PUNCT
fumecheng-12829	795	1	d	d	NOUN
fumecheng-12829	796	1	d	d	NOUN
fumecheng-12829	796	2	d	d	X
fumecheng-12829	796	3	d	d	X
fumecheng-12829	796	4	=	=	SYM
fumecheng-12829	796	5	−g	−g	VERB
fumecheng-12829	796	6	a	a	DET
fumecheng-12829	796	7	1	1	NUM
fumecheng-12829	796	8	a	a	DET
fumecheng-12829	796	9	b=	b=	NOUN
fumecheng-12829	797	1	+	+	ADP
fumecheng-12829	797	2	g	g	NOUN
fumecheng-12829	797	3	g	g	NOUN
fumecheng-12829	797	4	g	g	PROPN
fumecheng-12829	797	5	2	2	NUM
fumecheng-12829	797	6	b	b	NOUN
fumecheng-12829	797	7	c=	c=	NOUN
fumecheng-12829	798	1	+	+	ADV
fumecheng-12829	798	2	g	g	NOUN
fumecheng-12829	798	3	g	g	NOUN
fumecheng-12829	798	4	g	g	PROPN
fumecheng-12829	798	5	3	3	NUM
fumecheng-12829	798	6	c	c	NOUN
fumecheng-12829	798	7	d=	d=	NOUN
fumecheng-12829	799	1	+	+	NOUN
fumecheng-12829	799	2	g	g	NOUN
fumecheng-12829	799	3	g	g	NOUN
fumecheng-12829	799	4	g	g	PROPN
fumecheng-12829	799	5	4	4	NUM
fumecheng-12829	799	6	d	d	NOUN
fumecheng-12829	799	7	a=	a=	NOUN
fumecheng-12829	800	1	+	+	ADP
fumecheng-12829	800	2	g	g	NOUN
fumecheng-12829	800	3	g	g	NOUN
fumecheng-12829	800	4	g	g	PROPN
fumecheng-12829	800	5	2	2	NUM
fumecheng-12829	800	6	aa	aa	NOUN
fumecheng-12829	800	7	=	=	NOUN
fumecheng-12829	800	8	α	α	NOUN
fumecheng-12829	800	9	a	a	DET
fumecheng-12829	800	10	1	1	NUM
fumecheng-12829	800	11	bb	bb	NOUN
fumecheng-12829	800	12	=	=	NOUN
fumecheng-12829	800	13	β	β	NOUN
fumecheng-12829	800	14	a	a	DET
fumecheng-12829	800	15	2	2	NUM
fumecheng-12829	800	16	cc	cc	NOUN
fumecheng-12829	800	17	=	=	NOUN
fumecheng-12829	800	18	γ	γ	X
fumecheng-12829	800	19	a	a	DET
fumecheng-12829	800	20	1	1	NUM
fumecheng-12829	800	21	dd	dd	NOUN
fumecheng-12829	800	22	=	=	NOUN
fumecheng-12829	800	23	δ	δ	X
fumecheng-12829	800	24	a	a	PRON