id	sid	tid	token	lemma	pos
ap-6754	1	1	acta	acta	PROPN
ap-6754	1	2	polytechnica	polytechnica	PROPN
ap-6754	1	3	doi:10.14311	doi:10.14311	PROPN
ap-6754	1	4	/	/	SYM
ap-6754	1	5	ap.2020.60.0528	ap.2020.60.0528	PROPN
ap-6754	1	6	acta	acta	PROPN
ap-6754	1	7	polytechnica	polytechnica	PROPN
ap-6754	1	8	60(6):528–539	60(6):528–539	NOUN
ap-6754	1	9	,	,	PUNCT
ap-6754	1	10	2020	2020	NUM
ap-6754	1	11	©	©	PROPN
ap-6754	1	12	czech	czech	PROPN
ap-6754	1	13	technical	technical	PROPN
ap-6754	1	14	university	university	PROPN
ap-6754	1	15	in	in	ADP
ap-6754	1	16	prague	prague	PROPN
ap-6754	1	17	,	,	PUNCT
ap-6754	1	18	2020	2020	NUM
ap-6754	1	19	available	available	ADJ
ap-6754	1	20	online	online	ADV
ap-6754	1	21	at	at	ADP
ap-6754	1	22	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-6754	1	23	a	a	DET
ap-6754	1	24	combined	combine	VERB
ap-6754	1	25	strain	strain	NOUN
ap-6754	1	26	element	element	NOUN
ap-6754	1	27	to	to	ADP
ap-6754	1	28	functionally	functionally	ADV
ap-6754	1	29	graded	grade	VERB
ap-6754	1	30	structures	structure	NOUN
ap-6754	1	31	in	in	ADP
ap-6754	1	32	thermal	thermal	ADJ
ap-6754	1	33	environment	environment	NOUN
ap-6754	1	34	hoang	hoang	PROPN
ap-6754	1	35	lan	lan	PROPN
ap-6754	1	36	ton	ton	PROPN
ap-6754	1	37	-	-	PUNCT
ap-6754	1	38	thata	thata	PROPN
ap-6754	1	39	,	,	PUNCT
ap-6754	1	40	b	b	PROPN
ap-6754	1	41	a	a	DET
ap-6754	1	42	ho	ho	PROPN
ap-6754	1	43	chi	chi	PROPN
ap-6754	1	44	minh	minh	PROPN
ap-6754	1	45	city	city	PROPN
ap-6754	1	46	university	university	PROPN
ap-6754	1	47	of	of	ADP
ap-6754	1	48	architecture	architecture	NOUN
ap-6754	1	49	,	,	PUNCT
ap-6754	1	50	department	department	NOUN
ap-6754	1	51	of	of	ADP
ap-6754	1	52	civil	civil	ADJ
ap-6754	1	53	engineering	engineering	NOUN
ap-6754	1	54	,	,	PUNCT
ap-6754	1	55	196	196	NUM
ap-6754	1	56	pasteur	pasteur	PROPN
ap-6754	1	57	street	street	PROPN
ap-6754	1	58	,	,	PUNCT
ap-6754	1	59	district	district	NOUN
ap-6754	1	60	3	3	NUM
ap-6754	1	61	,	,	PUNCT
ap-6754	1	62	ho	ho	PROPN
ap-6754	1	63	chi	chi	PROPN
ap-6754	1	64	minh	minh	PROPN
ap-6754	1	65	city	city	PROPN
ap-6754	1	66	,	,	PUNCT
ap-6754	1	67	viet	viet	PROPN
ap-6754	1	68	nam	nam	PROPN
ap-6754	1	69	b	b	PROPN
ap-6754	1	70	ho	ho	PROPN
ap-6754	1	71	chi	chi	PROPN
ap-6754	1	72	minh	minh	PROPN
ap-6754	1	73	city	city	PROPN
ap-6754	1	74	university	university	PROPN
ap-6754	1	75	of	of	ADP
ap-6754	1	76	technology	technology	NOUN
ap-6754	1	77	and	and	CCONJ
ap-6754	1	78	education	education	NOUN
ap-6754	1	79	,	,	PUNCT
ap-6754	1	80	department	department	NOUN
ap-6754	1	81	of	of	ADP
ap-6754	1	82	civil	civil	ADJ
ap-6754	1	83	engineering	engineering	NOUN
ap-6754	1	84	,	,	PUNCT
ap-6754	1	85	01	01	NUM
ap-6754	1	86	vo	vo	PROPN
ap-6754	1	87	van	van	PROPN
ap-6754	1	88	ngan	ngan	PROPN
ap-6754	1	89	street	street	PROPN
ap-6754	1	90	,	,	PUNCT
ap-6754	1	91	thu	thu	PROPN
ap-6754	1	92	duc	duc	PROPN
ap-6754	1	93	district	district	PROPN
ap-6754	1	94	,	,	PUNCT
ap-6754	1	95	ho	ho	PROPN
ap-6754	1	96	chi	chi	PROPN
ap-6754	1	97	minh	minh	PROPN
ap-6754	1	98	city	city	PROPN
ap-6754	1	99	,	,	PUNCT
ap-6754	1	100	viet	viet	PROPN
ap-6754	1	101	nam	nam	PROPN
ap-6754	1	102	correspondence	correspondence	NOUN
ap-6754	1	103	:	:	PUNCT
ap-6754	2	1	lan.tonthathoang@uah.edu.vn	lan.tonthathoang@uah.edu.vn	ADJ
ap-6754	2	2	;	;	PUNCT
ap-6754	2	3	lantth.ncs@hcmute.edu.vn	lantth.ncs@hcmute.edu.vn	ADJ
ap-6754	2	4	abstract	abstract	NOUN
ap-6754	2	5	.	.	PUNCT
ap-6754	3	1	functionally	functionally	ADV
ap-6754	3	2	graded	grade	VERB
ap-6754	3	3	materials	material	NOUN
ap-6754	3	4	are	be	AUX
ap-6754	3	5	commonly	commonly	ADV
ap-6754	3	6	used	use	VERB
ap-6754	3	7	in	in	ADP
ap-6754	3	8	a	a	DET
ap-6754	3	9	thermal	thermal	ADJ
ap-6754	3	10	environment	environment	NOUN
ap-6754	3	11	to	to	PART
ap-6754	3	12	change	change	VERB
ap-6754	3	13	the	the	DET
ap-6754	3	14	properties	property	NOUN
ap-6754	3	15	of	of	ADP
ap-6754	3	16	constituent	constituent	NOUN
ap-6754	3	17	materials	material	NOUN
ap-6754	3	18	.	.	PUNCT
ap-6754	4	1	they	they	PRON
ap-6754	4	2	inherently	inherently	ADV
ap-6754	4	3	withstand	withstand	VERB
ap-6754	4	4	high	high	ADJ
ap-6754	4	5	temperature	temperature	NOUN
ap-6754	4	6	gradients	gradient	NOUN
ap-6754	4	7	due	due	ADJ
ap-6754	4	8	to	to	ADP
ap-6754	4	9	a	a	DET
ap-6754	4	10	low	low	ADJ
ap-6754	4	11	thermal	thermal	ADJ
ap-6754	4	12	conductivity	conductivity	NOUN
ap-6754	4	13	,	,	PUNCT
ap-6754	4	14	core	core	NOUN
ap-6754	4	15	ductility	ductility	NOUN
ap-6754	4	16	,	,	PUNCT
ap-6754	4	17	low	low	ADJ
ap-6754	4	18	thermal	thermal	ADJ
ap-6754	4	19	expansion	expansion	NOUN
ap-6754	4	20	coefficient	coefficient	NOUN
ap-6754	4	21	,	,	PUNCT
ap-6754	4	22	and	and	CCONJ
ap-6754	4	23	many	many	ADJ
ap-6754	4	24	others	other	NOUN
ap-6754	4	25	.	.	PUNCT
ap-6754	5	1	it	it	PRON
ap-6754	5	2	is	be	AUX
ap-6754	5	3	essential	essential	ADJ
ap-6754	5	4	to	to	PART
ap-6754	5	5	thoroughly	thoroughly	ADV
ap-6754	5	6	study	study	VERB
ap-6754	5	7	mechanical	mechanical	ADJ
ap-6754	5	8	responses	response	NOUN
ap-6754	5	9	of	of	ADP
ap-6754	5	10	them	they	PRON
ap-6754	5	11	and	and	CCONJ
ap-6754	5	12	to	to	PART
ap-6754	5	13	develop	develop	VERB
ap-6754	5	14	new	new	ADJ
ap-6754	5	15	effective	effective	ADJ
ap-6754	5	16	approaches	approach	NOUN
ap-6754	5	17	for	for	ADP
ap-6754	5	18	an	an	DET
ap-6754	5	19	accurate	accurate	ADJ
ap-6754	5	20	prediction	prediction	NOUN
ap-6754	5	21	of	of	ADP
ap-6754	5	22	solutions	solution	NOUN
ap-6754	5	23	.	.	PUNCT
ap-6754	6	1	in	in	ADP
ap-6754	6	2	this	this	DET
ap-6754	6	3	paper	paper	NOUN
ap-6754	6	4	,	,	PUNCT
ap-6754	6	5	a	a	DET
ap-6754	6	6	new	new	ADJ
ap-6754	6	7	four	four	NUM
ap-6754	6	8	-	-	PUNCT
ap-6754	6	9	node	node	ADJ
ap-6754	6	10	quadrilateral	quadrilateral	ADJ
ap-6754	6	11	element	element	NOUN
ap-6754	6	12	based	base	VERB
ap-6754	6	13	on	on	ADP
ap-6754	6	14	a	a	DET
ap-6754	6	15	combined	combine	VERB
ap-6754	6	16	strain	strain	NOUN
ap-6754	6	17	strategy	strategy	NOUN
ap-6754	6	18	and	and	CCONJ
ap-6754	6	19	first	first	ADJ
ap-6754	6	20	-	-	PUNCT
ap-6754	6	21	order	order	NOUN
ap-6754	6	22	shear	shear	NOUN
ap-6754	6	23	deformation	deformation	NOUN
ap-6754	6	24	theory	theory	NOUN
ap-6754	6	25	is	be	AUX
ap-6754	6	26	presented	present	VERB
ap-6754	6	27	to	to	PART
ap-6754	6	28	achieve	achieve	VERB
ap-6754	6	29	the	the	DET
ap-6754	6	30	behaviour	behaviour	NOUN
ap-6754	6	31	of	of	ADP
ap-6754	6	32	functionally	functionally	ADV
ap-6754	6	33	graded	grade	VERB
ap-6754	6	34	plate	plate	NOUN
ap-6754	6	35	/	/	SYM
ap-6754	6	36	shell	shell	NOUN
ap-6754	6	37	structures	structure	NOUN
ap-6754	6	38	in	in	ADP
ap-6754	6	39	a	a	DET
ap-6754	6	40	thermal	thermal	ADJ
ap-6754	6	41	environment	environment	NOUN
ap-6754	6	42	.	.	PUNCT
ap-6754	7	1	the	the	DET
ap-6754	7	2	main	main	ADJ
ap-6754	7	3	notion	notion	NOUN
ap-6754	7	4	of	of	ADP
ap-6754	7	5	the	the	DET
ap-6754	7	6	combined	combine	VERB
ap-6754	7	7	strain	strain	NOUN
ap-6754	7	8	strategy	strategy	NOUN
ap-6754	7	9	is	be	AUX
ap-6754	7	10	based	base	VERB
ap-6754	7	11	on	on	ADP
ap-6754	7	12	the	the	DET
ap-6754	7	13	combination	combination	NOUN
ap-6754	7	14	of	of	ADP
ap-6754	7	15	the	the	DET
ap-6754	7	16	membrane	membrane	NOUN
ap-6754	7	17	strain	strain	NOUN
ap-6754	7	18	and	and	CCONJ
ap-6754	7	19	the	the	DET
ap-6754	7	20	shear	shear	NOUN
ap-6754	7	21	strain	strain	NOUN
ap-6754	7	22	related	relate	VERB
ap-6754	7	23	to	to	ADP
ap-6754	7	24	tying	tie	VERB
ap-6754	7	25	points	point	NOUN
ap-6754	7	26	as	as	ADV
ap-6754	7	27	well	well	ADV
ap-6754	7	28	as	as	ADP
ap-6754	7	29	bending	bend	VERB
ap-6754	7	30	strain	strain	NOUN
ap-6754	7	31	with	with	ADP
ap-6754	7	32	respect	respect	NOUN
ap-6754	7	33	to	to	ADP
ap-6754	7	34	a	a	DET
ap-6754	7	35	cell	cell	NOUN
ap-6754	7	36	-	-	PUNCT
ap-6754	7	37	based	base	VERB
ap-6754	7	38	smoothed	smooth	VERB
ap-6754	7	39	finite	finite	ADJ
ap-6754	7	40	element	element	NOUN
ap-6754	7	41	method	method	NOUN
ap-6754	7	42	.	.	PUNCT
ap-6754	8	1	due	due	ADP
ap-6754	8	2	to	to	ADP
ap-6754	8	3	the	the	DET
ap-6754	8	4	finite	finite	ADJ
ap-6754	8	5	element	element	NOUN
ap-6754	8	6	analysis	analysis	NOUN
ap-6754	8	7	,	,	PUNCT
ap-6754	8	8	the	the	DET
ap-6754	8	9	first	first	ADJ
ap-6754	8	10	-	-	PUNCT
ap-6754	8	11	order	order	NOUN
ap-6754	8	12	shear	shear	NOUN
ap-6754	8	13	deformation	deformation	NOUN
ap-6754	8	14	theory	theory	NOUN
ap-6754	8	15	(	(	PUNCT
ap-6754	8	16	fsdt	fsdt	NOUN
ap-6754	8	17	)	)	PUNCT
ap-6754	8	18	is	be	AUX
ap-6754	8	19	simple	simple	ADJ
ap-6754	8	20	to	to	PART
ap-6754	8	21	implement	implement	VERB
ap-6754	8	22	and	and	CCONJ
ap-6754	8	23	apply	apply	VERB
ap-6754	8	24	for	for	ADP
ap-6754	8	25	structures	structure	NOUN
ap-6754	8	26	,	,	PUNCT
ap-6754	8	27	but	but	CCONJ
ap-6754	8	28	the	the	DET
ap-6754	8	29	shear	shear	NOUN
ap-6754	8	30	correction	correction	NOUN
ap-6754	8	31	factors	factor	NOUN
ap-6754	8	32	are	be	AUX
ap-6754	8	33	used	use	VERB
ap-6754	8	34	to	to	PART
ap-6754	8	35	achieve	achieve	VERB
ap-6754	8	36	the	the	DET
ap-6754	8	37	accuracy	accuracy	NOUN
ap-6754	8	38	of	of	ADP
ap-6754	8	39	solutions	solution	NOUN
ap-6754	8	40	.	.	PUNCT
ap-6754	9	1	the	the	DET
ap-6754	9	2	author	author	NOUN
ap-6754	9	3	assumes	assume	VERB
ap-6754	9	4	that	that	SCONJ
ap-6754	9	5	the	the	DET
ap-6754	9	6	temperature	temperature	NOUN
ap-6754	9	7	distribution	distribution	NOUN
ap-6754	9	8	is	be	AUX
ap-6754	9	9	uniform	uniform	ADJ
ap-6754	9	10	throughout	throughout	ADP
ap-6754	9	11	the	the	DET
ap-6754	9	12	structure	structure	NOUN
ap-6754	9	13	.	.	PUNCT
ap-6754	10	1	the	the	DET
ap-6754	10	2	rule	rule	NOUN
ap-6754	10	3	of	of	ADP
ap-6754	10	4	mixtures	mixture	NOUN
ap-6754	10	5	is	be	AUX
ap-6754	10	6	also	also	ADV
ap-6754	10	7	considered	consider	VERB
ap-6754	10	8	to	to	PART
ap-6754	10	9	describe	describe	VERB
ap-6754	10	10	the	the	DET
ap-6754	10	11	variation	variation	NOUN
ap-6754	10	12	of	of	ADP
ap-6754	10	13	material	material	NOUN
ap-6754	10	14	compositions	composition	NOUN
ap-6754	10	15	across	across	ADP
ap-6754	10	16	the	the	DET
ap-6754	10	17	thickness	thickness	NOUN
ap-6754	10	18	.	.	PUNCT
ap-6754	11	1	many	many	ADJ
ap-6754	11	2	desirable	desirable	ADJ
ap-6754	11	3	characteristics	characteristic	NOUN
ap-6754	11	4	and	and	CCONJ
ap-6754	11	5	the	the	DET
ap-6754	11	6	enforcement	enforcement	NOUN
ap-6754	11	7	of	of	ADP
ap-6754	11	8	this	this	DET
ap-6754	11	9	element	element	NOUN
ap-6754	11	10	are	be	AUX
ap-6754	11	11	verified	verify	VERB
ap-6754	11	12	and	and	CCONJ
ap-6754	11	13	proved	prove	VERB
ap-6754	11	14	through	through	ADP
ap-6754	11	15	various	various	ADJ
ap-6754	11	16	numerical	numerical	ADJ
ap-6754	11	17	examples	example	NOUN
ap-6754	11	18	.	.	PUNCT
ap-6754	12	1	numerical	numerical	ADJ
ap-6754	12	2	solutions	solution	NOUN
ap-6754	12	3	and	and	CCONJ
ap-6754	12	4	a	a	DET
ap-6754	12	5	comparison	comparison	NOUN
ap-6754	12	6	with	with	ADP
ap-6754	12	7	other	other	ADJ
ap-6754	12	8	available	available	ADJ
ap-6754	12	9	solutions	solution	NOUN
ap-6754	12	10	suggest	suggest	VERB
ap-6754	12	11	that	that	SCONJ
ap-6754	12	12	the	the	DET
ap-6754	12	13	procedure	procedure	NOUN
ap-6754	12	14	based	base	VERB
ap-6754	12	15	on	on	ADP
ap-6754	12	16	this	this	DET
ap-6754	12	17	new	new	ADJ
ap-6754	12	18	combined	combine	VERB
ap-6754	12	19	strain	strain	NOUN
ap-6754	12	20	element	element	NOUN
ap-6754	12	21	is	be	AUX
ap-6754	12	22	accurate	accurate	ADJ
ap-6754	12	23	and	and	CCONJ
ap-6754	12	24	efficient	efficient	ADJ
ap-6754	12	25	.	.	PUNCT
ap-6754	13	1	keywords	keyword	NOUN
ap-6754	13	2	:	:	PUNCT
ap-6754	13	3	combined	combined	ADJ
ap-6754	13	4	strain	strain	NOUN
ap-6754	13	5	,	,	PUNCT
ap-6754	13	6	four	four	NUM
ap-6754	13	7	-	-	PUNCT
ap-6754	13	8	node	node	ADJ
ap-6754	13	9	quadrilateral	quadrilateral	ADJ
ap-6754	13	10	element	element	NOUN
ap-6754	13	11	,	,	PUNCT
ap-6754	13	12	first	first	ADJ
ap-6754	13	13	-	-	PUNCT
ap-6754	13	14	order	order	NOUN
ap-6754	13	15	shear	shear	NOUN
ap-6754	13	16	deformation	deformation	NOUN
ap-6754	13	17	theory	theory	NOUN
ap-6754	13	18	,	,	PUNCT
ap-6754	13	19	thermal	thermal	ADJ
ap-6754	13	20	environment	environment	NOUN
ap-6754	13	21	.	.	PUNCT
ap-6754	14	1	1	1	X
ap-6754	14	2	.	.	X
ap-6754	14	3	introduction	introduction	NOUN
ap-6754	14	4	functionally	functionally	ADV
ap-6754	14	5	graded	grade	VERB
ap-6754	14	6	materials	material	NOUN
ap-6754	14	7	have	have	AUX
ap-6754	14	8	been	be	AUX
ap-6754	14	9	successfully	successfully	ADV
ap-6754	14	10	applied	apply	VERB
ap-6754	14	11	in	in	ADP
ap-6754	14	12	numerous	numerous	ADJ
ap-6754	14	13	fields	field	NOUN
ap-6754	14	14	of	of	ADP
ap-6754	14	15	engineering	engineering	NOUN
ap-6754	14	16	.	.	PUNCT
ap-6754	15	1	the	the	DET
ap-6754	15	2	material	material	NOUN
ap-6754	15	3	is	be	AUX
ap-6754	15	4	usually	usually	ADV
ap-6754	15	5	made	make	VERB
ap-6754	15	6	from	from	ADP
ap-6754	15	7	a	a	DET
ap-6754	15	8	mixture	mixture	NOUN
ap-6754	15	9	of	of	ADP
ap-6754	15	10	ceramic	ceramic	ADJ
ap-6754	15	11	and	and	CCONJ
ap-6754	15	12	metal	metal	NOUN
ap-6754	15	13	and	and	CCONJ
ap-6754	15	14	provides	provide	VERB
ap-6754	15	15	a	a	DET
ap-6754	15	16	continuous	continuous	ADJ
ap-6754	15	17	variation	variation	NOUN
ap-6754	15	18	of	of	ADP
ap-6754	15	19	material	material	NOUN
ap-6754	15	20	properties	property	NOUN
ap-6754	15	21	from	from	ADP
ap-6754	15	22	the	the	DET
ap-6754	15	23	bottom	bottom	ADJ
ap-6754	15	24	surface	surface	NOUN
ap-6754	15	25	to	to	ADP
ap-6754	15	26	the	the	DET
ap-6754	15	27	top	top	ADJ
ap-6754	15	28	surface	surface	NOUN
ap-6754	15	29	of	of	ADP
ap-6754	15	30	the	the	DET
ap-6754	15	31	plate	plate	NOUN
ap-6754	15	32	.	.	PUNCT
ap-6754	16	1	the	the	DET
ap-6754	16	2	functionally	functionally	ADV
ap-6754	16	3	graded	grade	VERB
ap-6754	16	4	materials	material	NOUN
ap-6754	16	5	have	have	AUX
ap-6754	16	6	attracted	attract	VERB
ap-6754	16	7	more	more	ADJ
ap-6754	16	8	attention	attention	NOUN
ap-6754	16	9	in	in	ADP
ap-6754	16	10	thermal	thermal	ADJ
ap-6754	16	11	environment	environment	NOUN
ap-6754	16	12	applications	application	NOUN
ap-6754	16	13	,	,	PUNCT
ap-6754	16	14	such	such	ADJ
ap-6754	16	15	as	as	ADP
ap-6754	16	16	spacecraft	spacecraft	NOUN
ap-6754	16	17	and	and	CCONJ
ap-6754	16	18	nuclear	nuclear	ADJ
ap-6754	16	19	tanks	tank	NOUN
ap-6754	16	20	.	.	PUNCT
ap-6754	17	1	the	the	DET
ap-6754	17	2	analytical	analytical	ADJ
ap-6754	17	3	solutions	solution	NOUN
ap-6754	18	1	[	[	X
ap-6754	18	2	1–4	1–4	X
ap-6754	18	3	]	]	X
ap-6754	18	4	are	be	AUX
ap-6754	18	5	valuable	valuable	ADJ
ap-6754	18	6	in	in	ADP
ap-6754	18	7	some	some	DET
ap-6754	18	8	certain	certain	ADJ
ap-6754	18	9	cases	case	NOUN
ap-6754	18	10	,	,	PUNCT
ap-6754	18	11	but	but	CCONJ
ap-6754	18	12	in	in	ADP
ap-6754	18	13	general	general	ADJ
ap-6754	18	14	,	,	PUNCT
ap-6754	18	15	with	with	ADP
ap-6754	18	16	complicated	complicated	ADJ
ap-6754	18	17	geometries	geometry	NOUN
ap-6754	18	18	or	or	CCONJ
ap-6754	18	19	complex	complex	ADJ
ap-6754	18	20	conditions	condition	NOUN
ap-6754	18	21	like	like	ADP
ap-6754	18	22	high	high	ADJ
ap-6754	18	23	temperatures	temperature	NOUN
ap-6754	18	24	in	in	ADP
ap-6754	18	25	the	the	DET
ap-6754	18	26	thermal	thermal	ADJ
ap-6754	18	27	environment	environment	NOUN
ap-6754	18	28	,	,	PUNCT
ap-6754	18	29	they	they	PRON
ap-6754	18	30	are	be	AUX
ap-6754	18	31	often	often	ADV
ap-6754	18	32	limited	limited	ADJ
ap-6754	18	33	.	.	PUNCT
ap-6754	19	1	besides	besides	SCONJ
ap-6754	19	2	the	the	DET
ap-6754	19	3	analytical	analytical	ADJ
ap-6754	19	4	approaches	approach	NOUN
ap-6754	19	5	,	,	PUNCT
ap-6754	19	6	numerical	numerical	ADJ
ap-6754	19	7	methods	method	NOUN
ap-6754	19	8	are	be	AUX
ap-6754	19	9	used	use	VERB
ap-6754	19	10	in	in	ADP
ap-6754	19	11	the	the	DET
ap-6754	19	12	structures	structure	NOUN
ap-6754	19	13	analyses	analyse	VERB
ap-6754	20	1	[	[	X
ap-6754	20	2	5–27	5–27	NOUN
ap-6754	20	3	]	]	PUNCT
ap-6754	20	4	.	.	PUNCT
ap-6754	21	1	bui	bui	PROPN
ap-6754	21	2	et	et	PROPN
ap-6754	21	3	al	al	PROPN
ap-6754	21	4	.	.	PUNCT
ap-6754	22	1	[	[	X
ap-6754	22	2	5	5	NUM
ap-6754	22	3	]	]	PUNCT
ap-6754	22	4	presented	present	VERB
ap-6754	22	5	new	new	ADJ
ap-6754	22	6	numerical	numerical	ADJ
ap-6754	22	7	results	result	NOUN
ap-6754	22	8	of	of	ADP
ap-6754	22	9	high	high	ADJ
ap-6754	22	10	temperature	temperature	NOUN
ap-6754	22	11	mechanical	mechanical	ADJ
ap-6754	22	12	behaviour	behaviour	NOUN
ap-6754	22	13	of	of	ADP
ap-6754	22	14	heated	heated	ADJ
ap-6754	22	15	functionally	functionally	ADV
ap-6754	22	16	graded	grade	VERB
ap-6754	22	17	plates	plate	NOUN
ap-6754	22	18	,	,	PUNCT
ap-6754	22	19	emphasizing	emphasize	VERB
ap-6754	22	20	the	the	DET
ap-6754	22	21	high	high	ADJ
ap-6754	22	22	temperature	temperature	NOUN
ap-6754	22	23	effects	effect	NOUN
ap-6754	22	24	on	on	ADP
ap-6754	22	25	static	static	ADJ
ap-6754	22	26	bending	bend	VERB
ap-6754	22	27	deflections	deflection	NOUN
ap-6754	22	28	and	and	CCONJ
ap-6754	22	29	natural	natural	ADJ
ap-6754	22	30	frequencies	frequency	NOUN
ap-6754	22	31	.	.	PUNCT
ap-6754	23	1	a	a	DET
ap-6754	23	2	displacement	displacement	NOUN
ap-6754	23	3	-	-	PUNCT
ap-6754	23	4	based	base	VERB
ap-6754	23	5	finite	finite	ADJ
ap-6754	23	6	element	element	NOUN
ap-6754	23	7	formulation	formulation	NOUN
ap-6754	23	8	associated	associate	VERB
ap-6754	23	9	with	with	ADP
ap-6754	23	10	the	the	DET
ap-6754	23	11	third	third	ADJ
ap-6754	23	12	-	-	PUNCT
ap-6754	23	13	order	order	NOUN
ap-6754	23	14	shear	shear	NOUN
ap-6754	23	15	deformation	deformation	NOUN
ap-6754	23	16	plate	plate	NOUN
ap-6754	23	17	theory	theory	NOUN
ap-6754	23	18	of	of	ADP
ap-6754	23	19	shi	shi	PROPN
ap-6754	23	20	was	be	AUX
ap-6754	23	21	thus	thus	ADV
ap-6754	23	22	developed	develop	VERB
ap-6754	23	23	.	.	PUNCT
ap-6754	24	1	an	an	DET
ap-6754	24	2	improved	improved	ADJ
ap-6754	24	3	four	four	NUM
ap-6754	24	4	-	-	PUNCT
ap-6754	24	5	node	node	ADJ
ap-6754	24	6	element	element	NOUN
ap-6754	24	7	based	base	VERB
ap-6754	24	8	on	on	ADP
ap-6754	24	9	twice	twice	ADJ
ap-6754	24	10	-	-	PUNCT
ap-6754	24	11	interpolation	interpolation	NOUN
ap-6754	24	12	strategy	strategy	NOUN
ap-6754	24	13	was	be	AUX
ap-6754	24	14	introduced	introduce	VERB
ap-6754	24	15	by	by	ADP
ap-6754	24	16	ton	ton	NOUN
ap-6754	24	17	-	-	NOUN
ap-6754	24	18	that	that	SCONJ
ap-6754	24	19	et	et	PROPN
ap-6754	24	20	al	al	PROPN
ap-6754	24	21	.	.	PUNCT
ap-6754	25	1	[	[	X
ap-6754	25	2	6	6	NUM
ap-6754	25	3	,	,	PUNCT
ap-6754	25	4	7	7	NUM
ap-6754	25	5	]	]	PUNCT
ap-6754	25	6	in	in	ADP
ap-6754	25	7	linear	linear	PROPN
ap-6754	25	8	and	and	CCONJ
ap-6754	25	9	nonlinear	nonlinear	ADJ
ap-6754	25	10	analyses	analysis	NOUN
ap-6754	25	11	of	of	ADP
ap-6754	25	12	composite	composite	ADJ
ap-6754	25	13	plate	plate	NOUN
ap-6754	25	14	/	/	SYM
ap-6754	25	15	shell	shell	NOUN
ap-6754	25	16	structures	structure	NOUN
ap-6754	25	17	.	.	PUNCT
ap-6754	26	1	besides	besides	SCONJ
ap-6754	26	2	,	,	PUNCT
ap-6754	26	3	thermal	thermal	ADJ
ap-6754	26	4	buckling	buckling	NOUN
ap-6754	26	5	analyses	analysis	NOUN
ap-6754	26	6	of	of	ADP
ap-6754	26	7	functionally	functionally	ADV
ap-6754	26	8	graded	grade	VERB
ap-6754	26	9	plates	plate	NOUN
ap-6754	26	10	and	and	CCONJ
ap-6754	26	11	cylindrical	cylindrical	ADJ
ap-6754	26	12	shells	shell	NOUN
ap-6754	26	13	were	be	AUX
ap-6754	26	14	investigated	investigate	VERB
ap-6754	26	15	by	by	ADP
ap-6754	26	16	s.trabelsi	s.trabelsi	NOUN
ap-6754	26	17	et	et	PROPN
ap-6754	26	18	al	al	PROPN
ap-6754	26	19	.	.	PUNCT
ap-6754	27	1	[	[	X
ap-6754	27	2	12	12	NUM
ap-6754	27	3	]	]	PUNCT
ap-6754	27	4	.	.	PUNCT
ap-6754	28	1	in	in	ADP
ap-6754	28	2	this	this	DET
ap-6754	28	3	reference	reference	NOUN
ap-6754	28	4	,	,	PUNCT
ap-6754	28	5	the	the	DET
ap-6754	28	6	finite	finite	ADJ
ap-6754	28	7	element	element	NOUN
ap-6754	28	8	formulation	formulation	NOUN
ap-6754	28	9	based	base	VERB
ap-6754	28	10	on	on	ADP
ap-6754	28	11	a	a	DET
ap-6754	28	12	modified	modify	VERB
ap-6754	28	13	fsdt	fsdt	NOUN
ap-6754	28	14	shell	shell	NOUN
ap-6754	28	15	formulation	formulation	NOUN
ap-6754	28	16	was	be	AUX
ap-6754	28	17	elaborated	elaborate	VERB
ap-6754	28	18	.	.	PUNCT
ap-6754	29	1	a	a	DET
ap-6754	29	2	dynamic	dynamic	ADJ
ap-6754	29	3	analysis	analysis	NOUN
ap-6754	29	4	of	of	ADP
ap-6754	29	5	a	a	DET
ap-6754	29	6	functionally	functionally	ADV
ap-6754	29	7	-	-	PUNCT
ap-6754	29	8	graded	grade	VERB
ap-6754	29	9	carbon	carbon	NOUN
ap-6754	29	10	nanotube	nanotube	NOUN
ap-6754	29	11	-	-	PUNCT
ap-6754	29	12	reinforced	reinforce	VERB
ap-6754	29	13	plate	plate	NOUN
ap-6754	29	14	and	and	CCONJ
ap-6754	29	15	shell	shell	ADJ
ap-6754	29	16	structures	structure	NOUN
ap-6754	29	17	using	use	VERB
ap-6754	29	18	a	a	DET
ap-6754	29	19	double	double	ADJ
ap-6754	29	20	directors	director	NOUN
ap-6754	29	21	finite	finite	VERB
ap-6754	29	22	shell	shell	PROPN
ap-6754	29	23	element	element	NOUN
ap-6754	29	24	was	be	AUX
ap-6754	29	25	firstly	firstly	ADV
ap-6754	29	26	presented	present	VERB
ap-6754	29	27	by	by	ADP
ap-6754	29	28	a.frikha	a.frikha	PROPN
ap-6754	29	29	et	et	PROPN
ap-6754	29	30	al	al	PROPN
ap-6754	29	31	.	.	PUNCT
ap-6754	30	1	[	[	X
ap-6754	30	2	13	13	NUM
ap-6754	30	3	,	,	PUNCT
ap-6754	30	4	14	14	NUM
ap-6754	30	5	]	]	PUNCT
ap-6754	30	6	.	.	PUNCT
ap-6754	31	1	the	the	DET
ap-6754	31	2	governing	govern	VERB
ap-6754	31	3	equations	equation	NOUN
ap-6754	31	4	were	be	AUX
ap-6754	31	5	developed	develop	VERB
ap-6754	31	6	using	use	VERB
ap-6754	31	7	a	a	DET
ap-6754	31	8	linear	linear	ADJ
ap-6754	31	9	discrete	discrete	ADJ
ap-6754	31	10	double	double	ADJ
ap-6754	31	11	directors	director	NOUN
ap-6754	31	12	finite	finite	VERB
ap-6754	31	13	element	element	NOUN
ap-6754	31	14	model	model	NOUN
ap-6754	31	15	.	.	PUNCT
ap-6754	32	1	the	the	DET
ap-6754	32	2	generalized	generalize	VERB
ap-6754	32	3	differential	differential	ADJ
ap-6754	32	4	quadrature	quadrature	NOUN
ap-6754	32	5	method	method	NOUN
ap-6754	32	6	[	[	X
ap-6754	32	7	15–18	15–18	NUM
ap-6754	32	8	]	]	PUNCT
ap-6754	32	9	was	be	AUX
ap-6754	32	10	used	use	VERB
ap-6754	32	11	to	to	PART
ap-6754	32	12	study	study	VERB
ap-6754	32	13	the	the	DET
ap-6754	32	14	behaviour	behaviour	NOUN
ap-6754	32	15	of	of	ADP
ap-6754	32	16	functionally	functionally	ADV
ap-6754	32	17	graded	grade	VERB
ap-6754	32	18	materials	material	NOUN
ap-6754	32	19	and	and	CCONJ
ap-6754	32	20	laminated	laminate	VERB
ap-6754	32	21	doubly	doubly	ADV
ap-6754	32	22	curved	curved	ADJ
ap-6754	32	23	shells	shell	NOUN
ap-6754	32	24	and	and	CCONJ
ap-6754	32	25	panels	panel	NOUN
ap-6754	32	26	.	.	PUNCT
ap-6754	33	1	the	the	DET
ap-6754	33	2	free	free	ADJ
ap-6754	33	3	vibration	vibration	NOUN
ap-6754	33	4	of	of	ADP
ap-6754	33	5	beams	beam	NOUN
ap-6754	33	6	made	make	VERB
ap-6754	33	7	of	of	ADP
ap-6754	33	8	imperfect	imperfect	NOUN
ap-6754	33	9	functionally	functionally	ADV
ap-6754	33	10	graded	grade	VERB
ap-6754	33	11	materials	material	NOUN
ap-6754	33	12	including	include	VERB
ap-6754	33	13	porosities	porosity	NOUN
ap-6754	33	14	was	be	AUX
ap-6754	33	15	investigated	investigate	VERB
ap-6754	33	16	in	in	ADP
ap-6754	33	17	[	[	X
ap-6754	33	18	19	19	NUM
ap-6754	33	19	]	]	PUNCT
ap-6754	33	20	and	and	CCONJ
ap-6754	33	21	the	the	DET
ap-6754	33	22	free	free	ADJ
ap-6754	33	23	vibration	vibration	NOUN
ap-6754	33	24	of	of	ADP
ap-6754	33	25	functionally	functionally	ADV
ap-6754	33	26	graded	grade	VERB
ap-6754	33	27	beams	beam	NOUN
ap-6754	33	28	resting	rest	VERB
ap-6754	33	29	on	on	ADP
ap-6754	33	30	two	two	NUM
ap-6754	33	31	parameter	parameter	NOUN
ap-6754	33	32	elastic	elastic	ADJ
ap-6754	33	33	foundation	foundation	NOUN
ap-6754	33	34	was	be	AUX
ap-6754	33	35	examined	examine	VERB
ap-6754	33	36	in	in	ADP
ap-6754	33	37	[	[	X
ap-6754	33	38	20	20	NUM
ap-6754	33	39	]	]	PUNCT
ap-6754	33	40	by	by	ADP
ap-6754	33	41	m.avcar	m.avcar	NOUN
ap-6754	33	42	et	et	PROPN
ap-6754	33	43	al	al	PROPN
ap-6754	33	44	.	.	PROPN
ap-6754	34	1	due	due	ADP
ap-6754	34	2	to	to	ADP
ap-6754	34	3	the	the	DET
ap-6754	34	4	discrete	discrete	ADJ
ap-6754	34	5	singular	singular	ADJ
ap-6754	34	6	convolution	convolution	NOUN
ap-6754	34	7	method	method	NOUN
ap-6754	34	8	,	,	PUNCT
ap-6754	34	9	ö.civalek	ö.civalek	VERB
ap-6754	34	10	et	et	PROPN
ap-6754	34	11	al	al	PROPN
ap-6754	34	12	.	.	PUNCT
ap-6754	35	1	[	[	X
ap-6754	35	2	21–23	21–23	X
ap-6754	35	3	]	]	X
ap-6754	35	4	studied	study	VERB
ap-6754	35	5	the	the	DET
ap-6754	35	6	behaviour	behaviour	NOUN
ap-6754	35	7	of	of	ADP
ap-6754	35	8	carbon	carbon	NOUN
ap-6754	35	9	nanotubes	nanotube	NOUN
ap-6754	35	10	reinforced	reinforce	VERB
ap-6754	35	11	and	and	CCONJ
ap-6754	35	12	functionally	functionally	ADV
ap-6754	35	13	graded	grade	VERB
ap-6754	35	14	shells	shell	NOUN
ap-6754	35	15	and	and	CCONJ
ap-6754	35	16	plates	plate	NOUN
ap-6754	35	17	respectively	respectively	ADV
ap-6754	35	18	.	.	PUNCT
ap-6754	36	1	528	528	NUM
ap-6754	36	2	https://doi.org/10.14311/ap.2020.60.0528	https://doi.org/10.14311/ap.2020.60.0528	X
ap-6754	36	3	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	ADJ
ap-6754	36	4	vol	vol	NOUN
ap-6754	36	5	.	.	PUNCT
ap-6754	37	1	60	60	NUM
ap-6754	37	2	no	no	INTJ
ap-6754	37	3	.	.	PUNCT
ap-6754	38	1	6/2020	6/2020	NUM
ap-6754	38	2	a	a	DET
ap-6754	38	3	combined	combine	VERB
ap-6754	38	4	strain	strain	NOUN
ap-6754	38	5	element	element	NOUN
ap-6754	38	6	to	to	ADP
ap-6754	38	7	functionally	functionally	ADV
ap-6754	38	8	graded	grade	VERB
ap-6754	38	9	structures	structure	NOUN
ap-6754	38	10	.	.	PUNCT
ap-6754	38	11	.	.	PUNCT
ap-6754	38	12	.	.	PUNCT
ap-6754	39	1	(	(	PUNCT
ap-6754	39	2	a	a	X
ap-6754	39	3	)	)	PUNCT
ap-6754	39	4	.	.	PUNCT
ap-6754	40	1	(	(	PUNCT
ap-6754	40	2	b	b	NOUN
ap-6754	40	3	)	)	PUNCT
ap-6754	40	4	.	.	PUNCT
ap-6754	41	1	figure	figure	NOUN
ap-6754	41	2	1	1	NUM
ap-6754	41	3	.	.	PUNCT
ap-6754	42	1	the	the	DET
ap-6754	42	2	functionally	functionally	ADV
ap-6754	42	3	graded	grade	VERB
ap-6754	42	4	plate	plate	NOUN
ap-6754	42	5	:	:	PUNCT
ap-6754	42	6	a	a	X
ap-6754	42	7	)	)	PUNCT
ap-6754	42	8	in	in	ADP
ap-6754	42	9	3d	3d	PROPN
ap-6754	42	10	space	space	NOUN
ap-6754	42	11	,	,	PUNCT
ap-6754	42	12	b	b	NOUN
ap-6754	42	13	)	)	PUNCT
ap-6754	42	14	with	with	ADP
ap-6754	42	15	variation	variation	NOUN
ap-6754	42	16	of	of	ADP
ap-6754	42	17	volume	volume	NOUN
ap-6754	42	18	fraction	fraction	NOUN
ap-6754	42	19	.	.	PUNCT
ap-6754	43	1	moreover	moreover	ADV
ap-6754	43	2	,	,	PUNCT
ap-6754	43	3	based	base	VERB
ap-6754	43	4	on	on	ADP
ap-6754	43	5	the	the	DET
ap-6754	43	6	refined	refined	ADJ
ap-6754	43	7	plate	plate	NOUN
ap-6754	43	8	theory	theory	NOUN
ap-6754	43	9	,	,	PUNCT
ap-6754	43	10	some	some	DET
ap-6754	43	11	references	reference	NOUN
ap-6754	43	12	[	[	X
ap-6754	43	13	24–26	24–26	NUM
ap-6754	43	14	]	]	PUNCT
ap-6754	43	15	reviewed	review	VERB
ap-6754	43	16	the	the	DET
ap-6754	43	17	mechanical	mechanical	ADJ
ap-6754	43	18	behaviour	behaviour	NOUN
ap-6754	43	19	of	of	ADP
ap-6754	43	20	the	the	DET
ap-6754	43	21	functionally	functionally	ADV
ap-6754	43	22	graded	grade	VERB
ap-6754	43	23	sandwich	sandwich	NOUN
ap-6754	43	24	or	or	CCONJ
ap-6754	43	25	functionally	functionally	ADV
ap-6754	43	26	graded	grade	VERB
ap-6754	43	27	porous	porous	ADJ
ap-6754	43	28	plates	plate	NOUN
ap-6754	43	29	under	under	ADP
ap-6754	43	30	various	various	ADJ
ap-6754	43	31	boundary	boundary	ADJ
ap-6754	43	32	conditions	condition	NOUN
ap-6754	43	33	.	.	PUNCT
ap-6754	44	1	in	in	ADP
ap-6754	44	2	this	this	DET
ap-6754	44	3	paper	paper	NOUN
ap-6754	44	4	,	,	PUNCT
ap-6754	44	5	a	a	DET
ap-6754	44	6	new	new	ADJ
ap-6754	44	7	four	four	NUM
ap-6754	44	8	-	-	PUNCT
ap-6754	44	9	node	node	ADJ
ap-6754	44	10	quadrilateral	quadrilateral	ADJ
ap-6754	44	11	finite	finite	PROPN
ap-6754	44	12	element	element	NOUN
ap-6754	44	13	related	relate	VERB
ap-6754	44	14	to	to	ADP
ap-6754	44	15	the	the	DET
ap-6754	44	16	combined	combine	VERB
ap-6754	44	17	strain	strain	NOUN
ap-6754	44	18	strategy	strategy	NOUN
ap-6754	44	19	is	be	AUX
ap-6754	44	20	introduced	introduce	VERB
ap-6754	44	21	.	.	PUNCT
ap-6754	45	1	the	the	DET
ap-6754	45	2	main	main	ADJ
ap-6754	45	3	idea	idea	NOUN
ap-6754	45	4	of	of	ADP
ap-6754	45	5	this	this	DET
ap-6754	45	6	combined	combine	VERB
ap-6754	45	7	strain	strain	NOUN
ap-6754	45	8	strategy	strategy	NOUN
ap-6754	45	9	is	be	AUX
ap-6754	45	10	based	base	VERB
ap-6754	45	11	on	on	ADP
ap-6754	45	12	the	the	DET
ap-6754	45	13	combination	combination	NOUN
ap-6754	45	14	of	of	ADP
ap-6754	45	15	the	the	DET
ap-6754	45	16	membrane	membrane	NOUN
ap-6754	45	17	strain	strain	NOUN
ap-6754	45	18	and	and	CCONJ
ap-6754	45	19	shear	shear	NOUN
ap-6754	45	20	strain	strain	NOUN
ap-6754	45	21	related	relate	VERB
ap-6754	45	22	to	to	ADP
ap-6754	45	23	tying	tie	VERB
ap-6754	45	24	points	point	NOUN
ap-6754	45	25	as	as	ADV
ap-6754	45	26	well	well	ADV
ap-6754	45	27	as	as	ADP
ap-6754	45	28	bending	bend	VERB
ap-6754	45	29	strain	strain	NOUN
ap-6754	45	30	with	with	ADP
ap-6754	45	31	respect	respect	NOUN
ap-6754	45	32	to	to	ADP
ap-6754	45	33	cell	cell	NOUN
ap-6754	45	34	-	-	PUNCT
ap-6754	45	35	based	base	VERB
ap-6754	45	36	smoothed	smooth	VERB
ap-6754	45	37	finite	finite	ADJ
ap-6754	45	38	element	element	NOUN
ap-6754	45	39	method	method	NOUN
ap-6754	45	40	.	.	PUNCT
ap-6754	46	1	some	some	DET
ap-6754	46	2	difficulties	difficulty	NOUN
ap-6754	46	3	that	that	PRON
ap-6754	46	4	arise	arise	VERB
ap-6754	46	5	in	in	ADP
ap-6754	46	6	the	the	DET
ap-6754	46	7	standard	standard	ADJ
ap-6754	46	8	fem	fem	NOUN
ap-6754	46	9	may	may	AUX
ap-6754	46	10	be	be	AUX
ap-6754	46	11	listed	list	VERB
ap-6754	46	12	as	as	SCONJ
ap-6754	46	13	follows	follow	VERB
ap-6754	46	14	:	:	PUNCT
ap-6754	46	15	it	it	PRON
ap-6754	46	16	requires	require	VERB
ap-6754	46	17	large	large	ADJ
ap-6754	46	18	computer	computer	NOUN
ap-6754	46	19	memory	memory	NOUN
ap-6754	46	20	and	and	CCONJ
ap-6754	46	21	computational	computational	ADJ
ap-6754	46	22	time	time	NOUN
ap-6754	46	23	to	to	PART
ap-6754	46	24	obtain	obtain	VERB
ap-6754	46	25	the	the	DET
ap-6754	46	26	desired	desire	VERB
ap-6754	46	27	results	result	NOUN
ap-6754	46	28	,	,	PUNCT
ap-6754	46	29	the	the	DET
ap-6754	46	30	mapping	mapping	NOUN
ap-6754	46	31	or	or	CCONJ
ap-6754	46	32	coordinate	coordinate	NOUN
ap-6754	46	33	transformation	transformation	NOUN
ap-6754	46	34	is	be	AUX
ap-6754	46	35	involved	involve	VERB
ap-6754	46	36	in	in	ADP
ap-6754	46	37	the	the	DET
ap-6754	46	38	standard	standard	ADJ
ap-6754	46	39	fem	fem	NOUN
ap-6754	46	40	,	,	PUNCT
ap-6754	46	41	so	so	SCONJ
ap-6754	46	42	its	its	PRON
ap-6754	46	43	element	element	NOUN
ap-6754	46	44	is	be	AUX
ap-6754	46	45	not	not	PART
ap-6754	46	46	allowed	allow	VERB
ap-6754	46	47	to	to	PART
ap-6754	46	48	be	be	AUX
ap-6754	46	49	of	of	ADP
ap-6754	46	50	arbitrary	arbitrary	ADJ
ap-6754	46	51	shape	shape	NOUN
ap-6754	46	52	,	,	PUNCT
ap-6754	46	53	the	the	DET
ap-6754	46	54	restriction	restriction	NOUN
ap-6754	46	55	on	on	ADP
ap-6754	46	56	the	the	DET
ap-6754	46	57	shape	shape	NOUN
ap-6754	46	58	bilinear	bilinear	VERB
ap-6754	46	59	isoparametric	isoparametric	ADJ
ap-6754	46	60	elements	element	NOUN
ap-6754	46	61	can	can	AUX
ap-6754	46	62	not	not	PART
ap-6754	46	63	be	be	AUX
ap-6754	46	64	removed	remove	VERB
ap-6754	46	65	and	and	CCONJ
ap-6754	46	66	the	the	DET
ap-6754	46	67	problem	problem	NOUN
ap-6754	46	68	domain	domain	NOUN
ap-6754	46	69	can	can	AUX
ap-6754	46	70	not	not	PART
ap-6754	46	71	be	be	AUX
ap-6754	46	72	discretized	discretize	VERB
ap-6754	46	73	in	in	ADP
ap-6754	46	74	more	more	ADV
ap-6754	46	75	flexible	flexible	ADJ
ap-6754	46	76	ways	way	NOUN
ap-6754	46	77	.	.	PUNCT
ap-6754	47	1	this	this	DET
ap-6754	47	2	paper	paper	NOUN
ap-6754	47	3	’s	’s	PART
ap-6754	47	4	element	element	NOUN
ap-6754	47	5	with	with	ADP
ap-6754	47	6	the	the	DET
ap-6754	47	7	combined	combine	VERB
ap-6754	47	8	strain	strain	NOUN
ap-6754	47	9	strategy	strategy	NOUN
ap-6754	47	10	that	that	PRON
ap-6754	47	11	can	can	AUX
ap-6754	47	12	does	do	AUX
ap-6754	47	13	not	not	PART
ap-6754	47	14	suffer	suffer	VERB
ap-6754	47	15	from	from	ADP
ap-6754	47	16	the	the	DET
ap-6754	47	17	above	above	ADJ
ap-6754	47	18	mentioned	mention	VERB
ap-6754	47	19	difficulties	difficulty	NOUN
ap-6754	47	20	is	be	AUX
ap-6754	47	21	used	use	VERB
ap-6754	47	22	to	to	PART
ap-6754	47	23	analyse	analyse	VERB
ap-6754	47	24	the	the	DET
ap-6754	47	25	behaviour	behaviour	NOUN
ap-6754	47	26	of	of	ADP
ap-6754	47	27	functionally	functionally	ADV
ap-6754	47	28	graded	grade	VERB
ap-6754	47	29	plate	plate	NOUN
ap-6754	47	30	/	/	SYM
ap-6754	47	31	shell	shell	NOUN
ap-6754	47	32	structures	structure	NOUN
ap-6754	47	33	in	in	ADP
ap-6754	47	34	a	a	DET
ap-6754	47	35	thermal	thermal	ADJ
ap-6754	47	36	environment	environment	NOUN
ap-6754	47	37	.	.	PUNCT
ap-6754	48	1	many	many	ADJ
ap-6754	48	2	desirable	desirable	ADJ
ap-6754	48	3	characteristics	characteristic	NOUN
ap-6754	48	4	of	of	ADP
ap-6754	48	5	the	the	DET
ap-6754	48	6	proposed	propose	VERB
ap-6754	48	7	element	element	NOUN
ap-6754	48	8	,	,	PUNCT
ap-6754	48	9	such	such	ADJ
ap-6754	48	10	as	as	ADP
ap-6754	48	11	accuracy	accuracy	NOUN
ap-6754	48	12	,	,	PUNCT
ap-6754	48	13	efficiency	efficiency	NOUN
ap-6754	48	14	and	and	CCONJ
ap-6754	48	15	removal	removal	NOUN
ap-6754	48	16	of	of	ADP
ap-6754	48	17	shear	shear	NOUN
ap-6754	48	18	and	and	CCONJ
ap-6754	48	19	membrane	membrane	NOUN
ap-6754	48	20	locking	locking	NOUN
ap-6754	48	21	,	,	PUNCT
ap-6754	48	22	are	be	AUX
ap-6754	48	23	verified	verify	VERB
ap-6754	48	24	through	through	ADP
ap-6754	48	25	several	several	ADJ
ap-6754	48	26	examples	example	NOUN
ap-6754	48	27	.	.	PUNCT
ap-6754	49	1	the	the	DET
ap-6754	49	2	article	article	NOUN
ap-6754	49	3	is	be	AUX
ap-6754	49	4	organized	organize	VERB
ap-6754	49	5	into	into	ADP
ap-6754	49	6	four	four	NUM
ap-6754	49	7	sections	section	NOUN
ap-6754	49	8	.	.	PUNCT
ap-6754	50	1	in	in	ADP
ap-6754	50	2	sect	sect	NOUN
ap-6754	50	3	.	.	PUNCT
ap-6754	51	1	2	2	NUM
ap-6754	51	2	,	,	PUNCT
ap-6754	51	3	formulation	formulation	NOUN
ap-6754	51	4	of	of	ADP
ap-6754	51	5	this	this	DET
ap-6754	51	6	new	new	ADJ
ap-6754	51	7	element	element	NOUN
ap-6754	51	8	for	for	ADP
ap-6754	51	9	functionally	functionally	ADV
ap-6754	51	10	graded	grade	VERB
ap-6754	51	11	structures	structure	NOUN
ap-6754	51	12	related	relate	VERB
ap-6754	51	13	to	to	ADP
ap-6754	51	14	first	first	ADJ
ap-6754	51	15	-	-	PUNCT
ap-6754	51	16	order	order	NOUN
ap-6754	51	17	shear	shear	NOUN
ap-6754	51	18	deformation	deformation	NOUN
ap-6754	51	19	theory	theory	NOUN
ap-6754	51	20	is	be	AUX
ap-6754	51	21	presented	present	VERB
ap-6754	51	22	.	.	PUNCT
ap-6754	52	1	several	several	ADJ
ap-6754	52	2	examples	example	NOUN
ap-6754	52	3	are	be	AUX
ap-6754	52	4	subsequently	subsequently	ADV
ap-6754	52	5	given	give	VERB
ap-6754	52	6	in	in	ADP
ap-6754	52	7	sect	sect	NOUN
ap-6754	52	8	.	.	PUNCT
ap-6754	53	1	3	3	X
ap-6754	53	2	.	.	X
ap-6754	53	3	we	we	PRON
ap-6754	53	4	end	end	VERB
ap-6754	53	5	the	the	DET
ap-6754	53	6	paper	paper	NOUN
ap-6754	53	7	with	with	ADP
ap-6754	53	8	a	a	DET
ap-6754	53	9	summary	summary	NOUN
ap-6754	53	10	and	and	CCONJ
ap-6754	53	11	some	some	DET
ap-6754	53	12	concluding	conclude	VERB
ap-6754	53	13	remarks	remark	NOUN
ap-6754	53	14	in	in	ADP
ap-6754	53	15	the	the	DET
ap-6754	53	16	last	last	ADJ
ap-6754	53	17	section	section	NOUN
ap-6754	53	18	.	.	PUNCT
ap-6754	54	1	2	2	X
ap-6754	54	2	.	.	X
ap-6754	54	3	formulation	formulation	NOUN
ap-6754	54	4	of	of	ADP
ap-6754	54	5	the	the	DET
ap-6754	54	6	combined	combine	VERB
ap-6754	54	7	strain	strain	NOUN
ap-6754	54	8	element	element	NOUN
ap-6754	54	9	for	for	ADP
ap-6754	54	10	functionally	functionally	ADV
ap-6754	54	11	graded	grade	VERB
ap-6754	54	12	material	material	NOUN
ap-6754	54	13	2.1	2.1	NUM
ap-6754	54	14	.	.	PUNCT
ap-6754	55	1	functionally	functionally	ADV
ap-6754	55	2	graded	grade	VERB
ap-6754	55	3	material	material	NOUN
ap-6754	55	4	a	a	DET
ap-6754	55	5	functionally	functionally	ADV
ap-6754	55	6	graded	grade	VERB
ap-6754	55	7	plate	plate	NOUN
ap-6754	56	1	[	[	X
ap-6754	56	2	28	28	NUM
ap-6754	56	3	]	]	PUNCT
ap-6754	56	4	is	be	AUX
ap-6754	56	5	considered	consider	VERB
ap-6754	56	6	as	as	SCONJ
ap-6754	56	7	shown	show	VERB
ap-6754	56	8	in	in	ADP
ap-6754	56	9	figure	figure	NOUN
ap-6754	56	10	1a	1a	NOUN
ap-6754	56	11	with	with	ADP
ap-6754	56	12	thickness	thickness	PROPN
ap-6754	56	13	h.	h.	PROPN
ap-6754	56	14	the	the	DET
ap-6754	56	15	volume	volume	NOUN
ap-6754	56	16	fraction	fraction	NOUN
ap-6754	56	17	of	of	ADP
ap-6754	56	18	the	the	DET
ap-6754	56	19	ceramic	ceramic	ADJ
ap-6754	56	20	(	(	PUNCT
ap-6754	56	21	vc	vc	NOUN
ap-6754	56	22	)	)	PUNCT
ap-6754	56	23	and	and	CCONJ
ap-6754	56	24	metal	metal	NOUN
ap-6754	56	25	(	(	PUNCT
ap-6754	56	26	vm	vm	NOUN
ap-6754	56	27	)	)	PUNCT
ap-6754	56	28	are	be	AUX
ap-6754	56	29	described	describe	VERB
ap-6754	56	30	in	in	ADP
ap-6754	56	31	(	(	PUNCT
ap-6754	56	32	1	1	NUM
ap-6754	56	33	)	)	PUNCT
ap-6754	56	34	and	and	CCONJ
ap-6754	56	35	the	the	DET
ap-6754	56	36	variation	variation	NOUN
ap-6754	56	37	of	of	ADP
ap-6754	56	38	volume	volume	NOUN
ap-6754	56	39	fraction	fraction	NOUN
ap-6754	56	40	for	for	ADP
ap-6754	56	41	several	several	ADJ
ap-6754	56	42	volume	volume	NOUN
ap-6754	56	43	fraction	fraction	NOUN
ap-6754	56	44	coefficients	coefficient	NOUN
ap-6754	56	45	of	of	ADP
ap-6754	56	46	a	a	DET
ap-6754	56	47	functionally	functionally	ADV
ap-6754	56	48	graded	grade	VERB
ap-6754	56	49	plate	plate	NOUN
ap-6754	56	50	using	use	VERB
ap-6754	56	51	the	the	DET
ap-6754	56	52	power	power	NOUN
ap-6754	56	53	-	-	PUNCT
ap-6754	56	54	law	law	NOUN
ap-6754	56	55	distribution	distribution	NOUN
ap-6754	56	56	is	be	AUX
ap-6754	56	57	plotted	plot	VERB
ap-6754	56	58	by	by	ADP
ap-6754	56	59	figure	figure	NOUN
ap-6754	56	60	1b	1b	NUM
ap-6754	56	61	.	.	PUNCT
ap-6754	57	1	vc	vc	PROPN
ap-6754	57	2	=	=	SYM
ap-6754	57	3	å	å	PROPN
ap-6754	57	4	z	z	NOUN
ap-6754	57	5	h	h	NOUN
ap-6754	58	1	+	+	CCONJ
ap-6754	58	2	1	1	NUM
ap-6754	58	3	2	2	NUM
ap-6754	58	4	ãn	ãn	DET
ap-6754	58	5	vm	vm	PROPN
ap-6754	58	6	=	=	NOUN
ap-6754	59	1	1−	1−	NUM
ap-6754	59	2	vc	vc	PROPN
ap-6754	59	3	n	n	CCONJ
ap-6754	59	4	≥	≥	NOUN
ap-6754	59	5	0	0	NUM
ap-6754	60	1	(	(	PUNCT
ap-6754	60	2	1	1	NUM
ap-6754	60	3	)	)	PUNCT
ap-6754	60	4	where	where	SCONJ
ap-6754	60	5	z	z	NOUN
ap-6754	60	6	is	be	AUX
ap-6754	60	7	the	the	DET
ap-6754	60	8	thickness	thickness	NOUN
ap-6754	60	9	coordinate	coordinate	NOUN
ap-6754	60	10	variable	variable	NOUN
ap-6754	60	11	with	with	ADP
ap-6754	60	12	−h/2	−h/2	PROPN
ap-6754	60	13	≤	≤	PROPN
ap-6754	60	14	z	z	NOUN
ap-6754	60	15	≤	≤	NOUN
ap-6754	60	16	h/2	h/2	X
ap-6754	60	17	.	.	PUNCT
ap-6754	61	1	and	and	CCONJ
ap-6754	61	2	c	c	X
ap-6754	61	3	,	,	PUNCT
ap-6754	61	4	m	m	VERB
ap-6754	61	5	and	and	CCONJ
ap-6754	61	6	n	n	PRON
ap-6754	61	7	represent	represent	VERB
ap-6754	61	8	the	the	DET
ap-6754	61	9	ceramic	ceramic	ADJ
ap-6754	61	10	,	,	PUNCT
ap-6754	61	11	metal	metal	NOUN
ap-6754	61	12	constituents	constituent	NOUN
ap-6754	61	13	and	and	CCONJ
ap-6754	61	14	the	the	DET
ap-6754	61	15	non	non	ADJ
ap-6754	61	16	-	-	ADJ
ap-6754	61	17	negative	negative	ADJ
ap-6754	61	18	volume	volume	NOUN
ap-6754	61	19	fraction	fraction	NOUN
ap-6754	61	20	gradient	gradient	PROPN
ap-6754	61	21	index	index	NOUN
ap-6754	61	22	,	,	PUNCT
ap-6754	61	23	respectively	respectively	ADV
ap-6754	61	24	.	.	PUNCT
ap-6754	62	1	all	all	DET
ap-6754	62	2	values	value	NOUN
ap-6754	62	3	of	of	ADP
ap-6754	62	4	e	e	PROPN
ap-6754	62	5	,	,	PUNCT
ap-6754	62	6	ρ	ρ	PROPN
ap-6754	62	7	,	,	PUNCT
ap-6754	62	8	ν	ν	NOUN
ap-6754	62	9	and	and	CCONJ
ap-6754	62	10	α	α	PRON
ap-6754	62	11	that	that	PRON
ap-6754	62	12	vary	vary	VERB
ap-6754	62	13	throughout	throughout	ADP
ap-6754	62	14	the	the	DET
ap-6754	62	15	thickness	thickness	NOUN
ap-6754	62	16	of	of	ADP
ap-6754	62	17	plate	plate	NOUN
ap-6754	62	18	are	be	AUX
ap-6754	62	19	formulated	formulate	VERB
ap-6754	62	20	as	as	ADP
ap-6754	62	21	below	below	ADP
ap-6754	62	22	e(z	e(z	PROPN
ap-6754	62	23	)	)	PUNCT
ap-6754	63	1	=	=	SYM
ap-6754	64	1	em	em	PRON
ap-6754	65	1	+	+	CCONJ
ap-6754	66	1	(	(	PUNCT
ap-6754	66	2	ec	ec	PROPN
ap-6754	66	3	−	−	PROPN
ap-6754	66	4	em	em	PRON
ap-6754	66	5	)	)	PUNCT
ap-6754	66	6	å1	å1	PROPN
ap-6754	66	7	2	2	NUM
ap-6754	67	1	+	+	NOUN
ap-6754	67	2	z	z	NOUN
ap-6754	67	3	h	h	NOUN
ap-6754	67	4	ãn	ãn	NOUN
ap-6754	67	5	(	(	PUNCT
ap-6754	67	6	2	2	X
ap-6754	67	7	)	)	PUNCT
ap-6754	67	8	ρ(z	ρ(z	NUM
ap-6754	67	9	)	)	PUNCT
ap-6754	68	1	=	=	PUNCT
ap-6754	68	2	ρm	ρm	PROPN
ap-6754	69	1	+	+	CCONJ
ap-6754	69	2	(	(	PUNCT
ap-6754	69	3	ρc	ρc	VERB
ap-6754	69	4	−	−	PROPN
ap-6754	69	5	ρm	ρm	NOUN
ap-6754	69	6	)	)	PUNCT
ap-6754	69	7	å1	å1	NOUN
ap-6754	69	8	2	2	NUM
ap-6754	70	1	+	+	NOUN
ap-6754	70	2	z	z	NOUN
ap-6754	70	3	h	h	NOUN
ap-6754	70	4	ãn	ãn	NOUN
ap-6754	70	5	(	(	PUNCT
ap-6754	70	6	3	3	X
ap-6754	70	7	)	)	PUNCT
ap-6754	70	8	529	529	NUM
ap-6754	70	9	hoang	hoang	PROPN
ap-6754	70	10	lan	lan	PROPN
ap-6754	70	11	ton	ton	PROPN
ap-6754	70	12	-	-	PROPN
ap-6754	70	13	that	that	SCONJ
ap-6754	70	14	acta	acta	PROPN
ap-6754	70	15	polytechnica	polytechnica	PROPN
ap-6754	70	16	ν(z	ν(z	PROPN
ap-6754	70	17	)	)	PUNCT
ap-6754	70	18	=	=	PUNCT
ap-6754	70	19	νm	νm	INTJ
ap-6754	71	1	+	+	CCONJ
ap-6754	71	2	(	(	PUNCT
ap-6754	71	3	νc	νc	ADP
ap-6754	71	4	−	−	PROPN
ap-6754	71	5	νm	νm	NOUN
ap-6754	71	6	)	)	PUNCT
ap-6754	71	7	å1	å1	NOUN
ap-6754	71	8	2	2	NUM
ap-6754	71	9	+	+	NOUN
ap-6754	71	10	z	z	NOUN
ap-6754	71	11	h	h	NOUN
ap-6754	71	12	ãn	ãn	NOUN
ap-6754	71	13	(	(	PUNCT
ap-6754	71	14	4	4	X
ap-6754	71	15	)	)	PUNCT
ap-6754	71	16	α(z	α(z	NOUN
ap-6754	71	17	)	)	PUNCT
ap-6754	72	1	=	=	VERB
ap-6754	72	2	αm	αm	NOUN
ap-6754	73	1	+	+	CCONJ
ap-6754	73	2	(	(	PUNCT
ap-6754	73	3	αc	αc	ADP
ap-6754	73	4	−	−	NOUN
ap-6754	73	5	αm	αm	NOUN
ap-6754	73	6	)	)	PUNCT
ap-6754	73	7	å1	å1	NOUN
ap-6754	73	8	2	2	NUM
ap-6754	73	9	+	+	NOUN
ap-6754	73	10	z	z	NOUN
ap-6754	73	11	h	h	NOUN
ap-6754	73	12	ãn	ãn	NOUN
ap-6754	73	13	(	(	PUNCT
ap-6754	73	14	5	5	X
ap-6754	73	15	)	)	PUNCT
ap-6754	73	16	the	the	DET
ap-6754	73	17	function	function	NOUN
ap-6754	73	18	of	of	ADP
ap-6754	73	19	temperature	temperature	NOUN
ap-6754	73	20	t	t	NOUN
ap-6754	73	21	(	(	PUNCT
ap-6754	73	22	k	k	NOUN
ap-6754	73	23	)	)	PUNCT
ap-6754	73	24	can	can	AUX
ap-6754	73	25	be	be	AUX
ap-6754	73	26	expressed	express	VERB
ap-6754	73	27	by	by	ADP
ap-6754	73	28	following	follow	VERB
ap-6754	73	29	equation	equation	NOUN
ap-6754	73	30	[	[	X
ap-6754	73	31	1	1	X
ap-6754	73	32	]	]	X
ap-6754	74	1	p	p	X
ap-6754	74	2	=	=	NOUN
ap-6754	74	3	p0	p0	NOUN
ap-6754	74	4	(	(	PUNCT
ap-6754	74	5	p−1	p−1	PROPN
ap-6754	74	6	t	t	NOUN
ap-6754	74	7	−1	−1	NOUN
ap-6754	74	8	+	+	CCONJ
ap-6754	74	9	1	1	NUM
ap-6754	74	10	+	+	NUM
ap-6754	74	11	p1	p1	PROPN
ap-6754	74	12	t	t	NOUN
ap-6754	74	13	+	+	CCONJ
ap-6754	74	14	p2	p2	PROPN
ap-6754	74	15	t	t	NOUN
ap-6754	74	16	2	2	NUM
ap-6754	74	17	+	+	SYM
ap-6754	74	18	p3	p3	PROPN
ap-6754	74	19	t	t	NOUN
ap-6754	74	20	3	3	NUM
ap-6754	74	21	)	)	PUNCT
ap-6754	74	22	(	(	PUNCT
ap-6754	74	23	6	6	NUM
ap-6754	74	24	)	)	PUNCT
ap-6754	74	25	where	where	SCONJ
ap-6754	74	26	t	t	NOUN
ap-6754	74	27	=	=	SYM
ap-6754	74	28	t0	t0	PROPN
ap-6754	74	29	+	+	CCONJ
ap-6754	74	30	∆t	∆t	PROPN
ap-6754	74	31	and	and	CCONJ
ap-6754	74	32	t0	t0	PROPN
ap-6754	74	33	=	=	SYM
ap-6754	74	34	300k	300k	PROPN
ap-6754	74	35	(	(	PUNCT
ap-6754	74	36	ambient	ambient	ADJ
ap-6754	74	37	or	or	CCONJ
ap-6754	74	38	free	free	ADJ
ap-6754	74	39	stress	stress	NOUN
ap-6754	74	40	temperature	temperature	NOUN
ap-6754	74	41	)	)	PUNCT
ap-6754	74	42	,	,	PUNCT
ap-6754	74	43	∆t	∆t	PROPN
ap-6754	74	44	is	be	AUX
ap-6754	74	45	the	the	DET
ap-6754	74	46	temperature	temperature	NOUN
ap-6754	74	47	change	change	NOUN
ap-6754	74	48	,	,	PUNCT
ap-6754	74	49	and	and	CCONJ
ap-6754	74	50	p0	p0	NOUN
ap-6754	74	51	,	,	PUNCT
ap-6754	74	52	p−1	p−1	PROPN
ap-6754	74	53	,	,	PUNCT
ap-6754	74	54	p1	p1	PROPN
ap-6754	74	55	,	,	PUNCT
ap-6754	74	56	p2	p2	NOUN
ap-6754	74	57	,	,	PUNCT
ap-6754	74	58	p3	p3	PROPN
ap-6754	74	59	are	be	AUX
ap-6754	74	60	the	the	DET
ap-6754	74	61	coefficients	coefficient	NOUN
ap-6754	74	62	of	of	ADP
ap-6754	74	63	temperature	temperature	NOUN
ap-6754	74	64	t	t	NOUN
ap-6754	74	65	(	(	PUNCT
ap-6754	74	66	k	k	NOUN
ap-6754	74	67	)	)	PUNCT
ap-6754	74	68	,	,	PUNCT
ap-6754	74	69	and	and	CCONJ
ap-6754	74	70	are	be	AUX
ap-6754	74	71	unique	unique	ADJ
ap-6754	74	72	to	to	ADP
ap-6754	74	73	each	each	DET
ap-6754	74	74	constituent	constituent	NOUN
ap-6754	74	75	.	.	PUNCT
ap-6754	75	1	2.2	2.2	NUM
ap-6754	75	2	.	.	PUNCT
ap-6754	75	3	formulation	formulation	NOUN
ap-6754	75	4	of	of	ADP
ap-6754	75	5	the	the	DET
ap-6754	75	6	combined	combine	VERB
ap-6754	75	7	strain	strain	NOUN
ap-6754	75	8	element	element	NOUN
ap-6754	75	9	in	in	ADP
ap-6754	75	10	this	this	DET
ap-6754	75	11	section	section	NOUN
ap-6754	75	12	,	,	PUNCT
ap-6754	75	13	the	the	DET
ap-6754	75	14	construction	construction	NOUN
ap-6754	75	15	of	of	ADP
ap-6754	75	16	the	the	DET
ap-6754	75	17	combined	combine	VERB
ap-6754	75	18	strain	strain	NOUN
ap-6754	75	19	element	element	NOUN
ap-6754	75	20	is	be	AUX
ap-6754	75	21	briefly	briefly	ADV
ap-6754	75	22	given	give	VERB
ap-6754	75	23	with	with	ADP
ap-6754	75	24	respect	respect	NOUN
ap-6754	75	25	to	to	ADP
ap-6754	75	26	the	the	DET
ap-6754	75	27	first	first	ADJ
ap-6754	75	28	-	-	PUNCT
ap-6754	75	29	order	order	NOUN
ap-6754	75	30	shear	shear	NOUN
ap-6754	75	31	deformation	deformation	NOUN
ap-6754	75	32	theory	theory	NOUN
ap-6754	75	33	u(x	u(x	VERB
ap-6754	75	34	,	,	PUNCT
ap-6754	75	35	y	y	PROPN
ap-6754	75	36	,	,	PUNCT
ap-6754	75	37	z	z	NOUN
ap-6754	75	38	)	)	PUNCT
ap-6754	75	39	=	=	SYM
ap-6754	75	40	u0(x	u0(x	PROPN
ap-6754	75	41	,	,	PUNCT
ap-6754	75	42	y	y	NOUN
ap-6754	75	43	)	)	PUNCT
ap-6754	76	1	+	+	CCONJ
ap-6754	76	2	zθy	zθy	PROPN
ap-6754	76	3	v(x	v(x	NOUN
ap-6754	76	4	,	,	PUNCT
ap-6754	76	5	y	y	PROPN
ap-6754	76	6	,	,	PUNCT
ap-6754	76	7	z	z	NOUN
ap-6754	76	8	)	)	PUNCT
ap-6754	76	9	=	=	SYM
ap-6754	76	10	v0(x	v0(x	PROPN
ap-6754	76	11	,	,	PUNCT
ap-6754	76	12	y)−	y)−	PROPN
ap-6754	76	13	zθx	zθx	NOUN
ap-6754	76	14	(	(	PUNCT
ap-6754	76	15	7	7	NUM
ap-6754	76	16	)	)	PUNCT
ap-6754	76	17	w(x	w(x	PROPN
ap-6754	76	18	,	,	PUNCT
ap-6754	76	19	y	y	PROPN
ap-6754	76	20	,	,	PUNCT
ap-6754	76	21	z	z	NOUN
ap-6754	76	22	)	)	PUNCT
ap-6754	76	23	=	=	SYM
ap-6754	76	24	w0(x	w0(x	PROPN
ap-6754	76	25	,	,	PUNCT
ap-6754	76	26	y	y	PROPN
ap-6754	76	27	)	)	PUNCT
ap-6754	76	28	with	with	ADP
ap-6754	76	29	u0	u0	PROPN
ap-6754	76	30	,	,	PUNCT
ap-6754	76	31	v0	v0	PROPN
ap-6754	76	32	,	,	PUNCT
ap-6754	76	33	w0	w0	PROPN
ap-6754	76	34	being	be	AUX
ap-6754	76	35	the	the	DET
ap-6754	76	36	displacements	displacement	NOUN
ap-6754	76	37	of	of	ADP
ap-6754	76	38	a	a	DET
ap-6754	76	39	point	point	NOUN
ap-6754	76	40	located	locate	VERB
ap-6754	76	41	in	in	ADP
ap-6754	76	42	the	the	DET
ap-6754	76	43	mid	mid	NOUN
ap-6754	76	44	-	-	NOUN
ap-6754	76	45	surface	surface	NOUN
ap-6754	76	46	,	,	PUNCT
ap-6754	76	47	and	and	CCONJ
ap-6754	76	48	θx	θx	ADP
ap-6754	76	49	,	,	PUNCT
ap-6754	76	50	θy	θy	PRON
ap-6754	76	51	are	be	AUX
ap-6754	76	52	the	the	DET
ap-6754	76	53	rotations	rotation	NOUN
ap-6754	76	54	of	of	ADP
ap-6754	76	55	the	the	DET
ap-6754	76	56	transverse	transverse	NOUN
ap-6754	76	57	normal	normal	ADJ
ap-6754	76	58	,	,	PUNCT
ap-6754	76	59	i.e.	i.e.	X
ap-6754	76	60	in	in	ADP
ap-6754	76	61	the	the	DET
ap-6754	76	62	z	z	NOUN
ap-6754	76	63	direction	direction	NOUN
ap-6754	76	64	,	,	PUNCT
ap-6754	76	65	about	about	ADP
ap-6754	76	66	the	the	DET
ap-6754	76	67	x−	x−	PROPN
ap-6754	76	68	as	as	ADV
ap-6754	76	69	well	well	ADV
ap-6754	76	70	as	as	ADP
ap-6754	76	71	y−	y−	NOUN
ap-6754	76	72	axes	axis	NOUN
ap-6754	76	73	,	,	PUNCT
ap-6754	76	74	respectively	respectively	ADV
ap-6754	76	75	.	.	PUNCT
ap-6754	77	1	the	the	DET
ap-6754	77	2	membrane	membrane	NOUN
ap-6754	77	3	and	and	CCONJ
ap-6754	77	4	bending	bend	VERB
ap-6754	77	5	strain	strain	NOUN
ap-6754	77	6	vectors	vector	NOUN
ap-6754	77	7	can	can	AUX
ap-6754	77	8	be	be	AUX
ap-6754	77	9	written	write	VERB
ap-6754	77	10	as	as	ADP
ap-6754	77	11	ε	ε	PROPN
ap-6754	77	12	=	=	SYM
ap-6754	77	13			PROPN
ap-6754	77	14	εx	εx	ADP
ap-6754	77	15	εy	εy	NOUN
ap-6754	77	16	γxy	γxy	NOUN
ap-6754	77	17			NOUN
ap-6754	77	18	=	=	PUNCT
ap-6754	77	19			X
ap-6754	77	20	u0,x	u0,x	PROPN
ap-6754	77	21	v0,y	v0,y	PROPN
ap-6754	77	22	u0,y	u0,y	PROPN
ap-6754	77	23	+	+	CCONJ
ap-6754	77	24	v0,x	v0,x	PROPN
ap-6754	77	25	+	+	PROPN
ap-6754	77	26	z	z	PROPN
ap-6754	77	27			PROPN
ap-6754	77	28	θxy	θxy	NOUN
ap-6754	77	29	,	,	PUNCT
ap-6754	77	30	x	x	PROPN
ap-6754	77	31	−θx	−θx	PROPN
ap-6754	77	32	,	,	PUNCT
ap-6754	77	33	y	y	PROPN
ap-6754	77	34	θy	θy	PROPN
ap-6754	77	35	,	,	PUNCT
ap-6754	77	36	y	y	PROPN
ap-6754	77	37	−	−	PROPN
ap-6754	77	38	θx	θx	PROPN
ap-6754	77	39	,	,	PUNCT
ap-6754	77	40	x	x	SYM
ap-6754	77	41			NOUN
ap-6754	77	42	=	=	VERB
ap-6754	77	43	εm	εm	NOUN
ap-6754	77	44	+	+	X
ap-6754	77	45	zεb	zεb	PROPN
ap-6754	77	46	(	(	PUNCT
ap-6754	77	47	8)	8)	NUM
ap-6754	77	48	and	and	CCONJ
ap-6754	77	49	the	the	DET
ap-6754	77	50	shear	shear	NOUN
ap-6754	77	51	strain	strain	NOUN
ap-6754	77	52	vector	vector	NOUN
ap-6754	77	53	is	be	AUX
ap-6754	77	54	also	also	ADV
ap-6754	77	55	given	give	VERB
ap-6754	77	56	εs	εs	ADP
ap-6754	77	57	=	=	PUNCT
ap-6754	77	58	ï	ï	NOUN
ap-6754	77	59	εxy	εxy	NOUN
ap-6754	77	60	εyz	εyz	ADP
ap-6754	77	61	ò	ò	PROPN
ap-6754	77	62	=	=	SYM
ap-6754	77	63	ï	ï	X
ap-6754	77	64	θy	θy	X
ap-6754	78	1	+	+	CCONJ
ap-6754	79	1	w0,x	w0,x	PROPN
ap-6754	79	2	−θx	−θx	AUX
ap-6754	80	1	+	+	CCONJ
ap-6754	80	2	w0,y	w0,y	PROPN
ap-6754	80	3	ò	ò	X
ap-6754	80	4	(	(	PUNCT
ap-6754	80	5	9	9	NUM
ap-6754	80	6	)	)	PUNCT
ap-6754	80	7	under	under	ADP
ap-6754	80	8	hooke	hooke	PROPN
ap-6754	80	9	’s	’s	PART
ap-6754	80	10	law	law	NOUN
ap-6754	80	11	,	,	PUNCT
ap-6754	80	12	the	the	DET
ap-6754	80	13	constitutive	constitutive	ADJ
ap-6754	80	14	equation	equation	NOUN
ap-6754	80	15	is	be	AUX
ap-6754	80	16	expressed	express	VERB
ap-6754	80	17	as	as	ADP
ap-6754	80	18	σ	σ	PROPN
ap-6754	80	19	=	=	PUNCT
ap-6754	80	20	dm(z	dm(z	X
ap-6754	80	21	)	)	PUNCT
ap-6754	80	22	ä	ä	NOUN
ap-6754	80	23	εm	εm	NOUN
ap-6754	81	1	+	+	CCONJ
ap-6754	81	2	zεb	zεb	PROPN
ap-6754	81	3	−	−	PROPN
ap-6754	81	4	ε(t	ε(t	NOUN
ap-6754	81	5	)	)	PUNCT
ap-6754	82	1	ä	ä	X
ap-6754	82	2	(	(	PUNCT
ap-6754	82	3	10	10	NUM
ap-6754	82	4	)	)	PUNCT
ap-6754	82	5	τ	τ	X
ap-6754	82	6	=	=	SYM
ap-6754	82	7	ds(z	ds(z	X
ap-6754	82	8	)	)	PUNCT
ap-6754	82	9	(	(	PUNCT
ap-6754	82	10	εs	εs	NOUN
ap-6754	82	11	)	)	PUNCT
ap-6754	82	12	(	(	PUNCT
ap-6754	82	13	11	11	NUM
ap-6754	82	14	)	)	PUNCT
ap-6754	82	15	in	in	ADP
ap-6754	82	16	which	which	PRON
ap-6754	82	17	σ	σ	NOUN
ap-6754	82	18	=	=	X
ap-6754	82	19	[	[	PUNCT
ap-6754	82	20	σx	σx	NOUN
ap-6754	82	21	σy	σy	NOUN
ap-6754	82	22	σxy	σxy	NOUN
ap-6754	82	23	]	]	X
ap-6754	82	24	t	t	X
ap-6754	82	25	;	;	PUNCT
ap-6754	82	26	τ	τ	PROPN
ap-6754	82	27	=	=	PRON
ap-6754	82	28	[	[	PUNCT
ap-6754	82	29	τyz	τyz	NOUN
ap-6754	82	30	τxz	τxz	NOUN
ap-6754	82	31	]	]	X
ap-6754	82	32	t	t	X
ap-6754	82	33	(	(	PUNCT
ap-6754	82	34	12	12	NUM
ap-6754	82	35	)	)	PUNCT
ap-6754	82	36	dm(z	dm(z	NUM
ap-6754	82	37	)	)	PUNCT
ap-6754	82	38	=	=	SYM
ap-6754	82	39	e(z	e(z	NOUN
ap-6754	82	40	)	)	PUNCT
ap-6754	82	41	1−	1−	NUM
ap-6754	83	1	v2	v2	NOUN
ap-6754	83	2			NOUN
ap-6754	83	3	1	1	NUM
ap-6754	83	4	v	v	NOUN
ap-6754	83	5	0	0	NUM
ap-6754	83	6	v	v	NOUN
ap-6754	83	7	1	1	NUM
ap-6754	83	8	0	0	NUM
ap-6754	83	9	0	0	NUM
ap-6754	83	10	0	0	NUM
ap-6754	84	1	(	(	PUNCT
ap-6754	84	2	1−	1−	NUM
ap-6754	84	3	v)/2	v)/2	PROPN
ap-6754	84	4			NOUN
ap-6754	84	5	ds(z	ds(z	NUM
ap-6754	84	6	)	)	PUNCT
ap-6754	84	7	=	=	SYM
ap-6754	84	8	e(z	e(z	NOUN
ap-6754	84	9	)	)	PUNCT
ap-6754	84	10	2(1	2(1	NUM
ap-6754	85	1	+	+	CCONJ
ap-6754	85	2	v	v	NOUN
ap-6754	85	3	)	)	PUNCT
ap-6754	85	4	ï	ï	NOUN
ap-6754	85	5	1	1	NUM
ap-6754	85	6	0	0	NUM
ap-6754	85	7	0	0	NUM
ap-6754	85	8	1	1	NUM
ap-6754	85	9	ò	ò	PROPN
ap-6754	85	10	(	(	PUNCT
ap-6754	85	11	13	13	NUM
ap-6754	85	12	)	)	PUNCT
ap-6754	85	13	ε(t	ε(t	NOUN
ap-6754	85	14	)	)	PUNCT
ap-6754	86	1	=	=	SYM
ap-6754	86	2	î	î	PROPN
ap-6754	86	3	ε	ε	PROPN
ap-6754	86	4	(	(	PUNCT
ap-6754	86	5	t	t	PROPN
ap-6754	86	6	)	)	PUNCT
ap-6754	86	7	x	x	PROPN
ap-6754	86	8	ε	ε	PROPN
ap-6754	86	9	(	(	PUNCT
ap-6754	86	10	t	t	PROPN
ap-6754	86	11	)	)	PUNCT
ap-6754	86	12	y	y	PROPN
ap-6754	86	13	0	0	PUNCT
ap-6754	86	14	ót	ót	ADV
ap-6754	86	15	=	=	PUNCT
ap-6754	86	16	[	[	PUNCT
ap-6754	86	17	α(z)∆t	α(z)∆t	ADJ
ap-6754	86	18	α(z)∆t	α(z)∆t	ADJ
ap-6754	86	19	0	0	NUM
ap-6754	86	20	]	]	X
ap-6754	86	21	t	t	X
ap-6754	86	22	(	(	PUNCT
ap-6754	86	23	14	14	NUM
ap-6754	86	24	)	)	PUNCT
ap-6754	86	25	the	the	DET
ap-6754	86	26	mid	mid	NOUN
ap-6754	86	27	-	-	NOUN
ap-6754	86	28	surface	surface	NOUN
ap-6754	86	29	of	of	ADP
ap-6754	86	30	a	a	DET
ap-6754	86	31	four	four	NUM
ap-6754	86	32	-	-	PUNCT
ap-6754	86	33	node	node	ADJ
ap-6754	86	34	quadrilateral	quadrilateral	ADJ
ap-6754	86	35	element	element	NOUN
ap-6754	86	36	is	be	AUX
ap-6754	86	37	subdivided	subdivide	VERB
ap-6754	86	38	into	into	ADP
ap-6754	86	39	four	four	NUM
ap-6754	86	40	non	non	ADJ
ap-6754	86	41	-	-	ADJ
ap-6754	86	42	overlapping	overlapping	ADJ
ap-6754	86	43	3	3	NUM
ap-6754	86	44	-	-	PUNCT
ap-6754	86	45	node	node	ADJ
ap-6754	86	46	triangular	triangular	NOUN
ap-6754	86	47	domains	domain	NOUN
ap-6754	86	48	defined	define	VERB
ap-6754	86	49	by	by	ADP
ap-6754	86	50	the	the	DET
ap-6754	86	51	vertices	vertex	NOUN
ap-6754	86	52	and	and	CCONJ
ap-6754	86	53	the	the	DET
ap-6754	86	54	centre	centre	NOUN
ap-6754	86	55	point	point	NOUN
ap-6754	86	56	‘	'	PUNCT
ap-6754	86	57	5	5	NUM
ap-6754	86	58	’	'	PUNCT
ap-6754	86	59	of	of	ADP
ap-6754	86	60	the	the	DET
ap-6754	86	61	element	element	NOUN
ap-6754	86	62	as	as	SCONJ
ap-6754	86	63	shown	show	VERB
ap-6754	86	64	in	in	ADP
ap-6754	86	65	figure	figure	NOUN
ap-6754	86	66	?	?	PUNCT
ap-6754	86	67	?	?	PUNCT
ap-6754	86	68	.	.	PUNCT
ap-6754	87	1	the	the	DET
ap-6754	87	2	coordinates	coordinate	NOUN
ap-6754	87	3	of	of	ADP
ap-6754	87	4	the	the	DET
ap-6754	87	5	point	point	NOUN
ap-6754	87	6	‘	'	PUNCT
ap-6754	87	7	5	5	NUM
ap-6754	87	8	’	'	PUNCT
ap-6754	87	9	in	in	ADP
ap-6754	87	10	the	the	DET
ap-6754	87	11	natural	natural	ADJ
ap-6754	87	12	coordinate	coordinate	NOUN
ap-6754	87	13	system	system	NOUN
ap-6754	87	14	are	be	AUX
ap-6754	87	15	interpolated	interpolate	VERB
ap-6754	87	16	by	by	ADP
ap-6754	87	17	x5	x5	PROPN
ap-6754	87	18	=	=	SYM
ap-6754	87	19	ζ1x1	ζ1x1	PROPN
ap-6754	88	1	+	+	SYM
ap-6754	88	2	ζ2x2	ζ2x2	X
ap-6754	88	3	+	+	NUM
ap-6754	88	4	ζ3x3	ζ3x3	X
ap-6754	88	5	+	+	NUM
ap-6754	88	6	ζ4x4	ζ4x4	NOUN
ap-6754	88	7	with	with	PROPN
ap-6754	88	8	ζ1	ζ1	NOUN
ap-6754	88	9	ζ2	ζ2	NOUN
ap-6754	88	10	ζ3	ζ3	NOUN
ap-6754	88	11	ζ4	ζ4	ADJ
ap-6754	88	12			NOUN
ap-6754	88	13	=	=	SYM
ap-6754	88	14	1	1	NUM
ap-6754	88	15	2	2	NUM
ap-6754	88	16	a234	a234	PROPN
ap-6754	88	17	a234	a234	PROPN
ap-6754	89	1	+	+	PROPN
ap-6754	89	2	a124	a124	PROPN
ap-6754	89	3			NOUN
ap-6754	89	4	1/3	1/3	NUM
ap-6754	89	5	1/3	1/3	NUM
ap-6754	89	6	0	0	NUM
ap-6754	90	1	1/3	1/3	PRON
ap-6754	90	2	+	+	PROPN
ap-6754	90	3	1	1	NUM
ap-6754	90	4	2	2	NUM
ap-6754	90	5	a124	a124	PROPN
ap-6754	91	1	a234	a234	PROPN
ap-6754	91	2	+	+	PROPN
ap-6754	91	3	a124	a124	PROPN
ap-6754	91	4			NOUN
ap-6754	91	5	0	0	NUM
ap-6754	91	6	1/3	1/3	NUM
ap-6754	91	7	1/3	1/3	NUM
ap-6754	91	8	1/3	1/3	PRON
ap-6754	91	9	+	+	PROPN
ap-6754	91	10	1	1	NUM
ap-6754	91	11	2	2	NUM
ap-6754	91	12	a134	a134	PROPN
ap-6754	91	13	a134	a134	NUM
ap-6754	91	14	+	+	NOUN
ap-6754	91	15	a123	a123	PROPN
ap-6754	91	16			NOUN
ap-6754	91	17	1/3	1/3	NUM
ap-6754	91	18	1/3	1/3	NUM
ap-6754	91	19	1/3	1/3	NUM
ap-6754	91	20	0	0	PUNCT
ap-6754	92	1	+	+	NUM
ap-6754	92	2	1	1	NUM
ap-6754	92	3	2	2	NUM
ap-6754	92	4	a123	a123	PROPN
ap-6754	92	5	a134	a134	PROPN
ap-6754	92	6	+	+	NOUN
ap-6754	92	7	a123	a123	PROPN
ap-6754	92	8			NOUN
ap-6754	93	1	1/3	1/3	NOUN
ap-6754	93	2	0	0	NUM
ap-6754	93	3	1/3	1/3	NUM
ap-6754	93	4	1/3	1/3	NUM
ap-6754	93	5			NOUN
ap-6754	93	6	(	(	PUNCT
ap-6754	93	7	15	15	NUM
ap-6754	93	8	)	)	PUNCT
ap-6754	93	9	in	in	ADP
ap-6754	93	10	which	which	PRON
ap-6754	93	11	,	,	PUNCT
ap-6754	93	12	a234	a234	PROPN
ap-6754	93	13	,	,	PUNCT
ap-6754	93	14	a124	a124	PROPN
ap-6754	93	15	,	,	PUNCT
ap-6754	93	16	a134	a134	PROPN
ap-6754	93	17	and	and	CCONJ
ap-6754	93	18	a123	a123	PROPN
ap-6754	93	19	are	be	AUX
ap-6754	93	20	the	the	DET
ap-6754	93	21	areas	area	NOUN
ap-6754	93	22	of	of	ADP
ap-6754	93	23	triangles	triangle	NOUN
ap-6754	93	24	“	"	PUNCT
ap-6754	93	25	234	234	NUM
ap-6754	93	26	”	"	PUNCT
ap-6754	93	27	,	,	PUNCT
ap-6754	93	28	“	"	PUNCT
ap-6754	93	29	124	124	NUM
ap-6754	93	30	”	"	PUNCT
ap-6754	93	31	,	,	PUNCT
ap-6754	93	32	“	"	PUNCT
ap-6754	93	33	134	134	NUM
ap-6754	93	34	”	"	PUNCT
ap-6754	93	35	and	and	CCONJ
ap-6754	93	36	“	"	PUNCT
ap-6754	93	37	123	123	NUM
ap-6754	93	38	”	"	PUNCT
ap-6754	93	39	.	.	PUNCT
ap-6754	94	1	from	from	ADP
ap-6754	94	2	four	four	NUM
ap-6754	94	3	non	non	ADJ
ap-6754	94	4	-	-	ADJ
ap-6754	94	5	overlapping	overlapping	ADJ
ap-6754	94	6	triangular	triangular	NOUN
ap-6754	94	7	domains	domain	NOUN
ap-6754	94	8	“	"	PUNCT
ap-6754	94	9	125	125	NUM
ap-6754	94	10	”	"	PUNCT
ap-6754	94	11	,	,	PUNCT
ap-6754	94	12	“	"	PUNCT
ap-6754	94	13	235	235	NUM
ap-6754	94	14	”	"	PUNCT
ap-6754	94	15	,	,	PUNCT
ap-6754	94	16	“	"	PUNCT
ap-6754	94	17	345	345	NUM
ap-6754	94	18	”	"	PUNCT
ap-6754	94	19	and	and	CCONJ
ap-6754	94	20	“	"	PUNCT
ap-6754	94	21	415	415	NUM
ap-6754	94	22	”	"	PUNCT
ap-6754	94	23	,	,	PUNCT
ap-6754	94	24	four	four	NUM
ap-6754	94	25	tying	tying	NOUN
ap-6754	94	26	points	point	NOUN
ap-6754	94	27	at	at	ADP
ap-6754	94	28	four	four	NUM
ap-6754	94	29	positions	position	NOUN
ap-6754	94	30	are	be	AUX
ap-6754	94	31	determined	determine	VERB
ap-6754	94	32	as	as	SCONJ
ap-6754	94	33	depicted	depict	VERB
ap-6754	94	34	in	in	ADP
ap-6754	94	35	figure	figure	NOUN
ap-6754	94	36	2b	2b	NOUN
ap-6754	94	37	and	and	CCONJ
ap-6754	94	38	clearly	clearly	ADV
ap-6754	94	39	presented	present	VERB
ap-6754	94	40	in	in	ADP
ap-6754	94	41	[	[	X
ap-6754	94	42	29	29	NUM
ap-6754	94	43	]	]	PUNCT
ap-6754	94	44	.	.	PUNCT
ap-6754	95	1	530	530	NUM
ap-6754	95	2	vol	vol	NOUN
ap-6754	95	3	.	.	PUNCT
ap-6754	96	1	60	60	NUM
ap-6754	96	2	no	no	INTJ
ap-6754	96	3	.	.	PUNCT
ap-6754	97	1	6/2020	6/2020	NUM
ap-6754	97	2	a	a	DET
ap-6754	97	3	combined	combine	VERB
ap-6754	97	4	strain	strain	NOUN
ap-6754	97	5	element	element	NOUN
ap-6754	97	6	to	to	ADP
ap-6754	97	7	functionally	functionally	ADV
ap-6754	97	8	graded	grade	VERB
ap-6754	97	9	structures	structure	NOUN
ap-6754	97	10	.	.	PUNCT
ap-6754	97	11	.	.	PUNCT
ap-6754	97	12	.	.	PUNCT
ap-6754	98	1	(	(	PUNCT
ap-6754	98	2	a	a	X
ap-6754	98	3	)	)	PUNCT
ap-6754	98	4	.	.	PUNCT
ap-6754	99	1	(	(	PUNCT
ap-6754	99	2	b	b	NOUN
ap-6754	99	3	)	)	PUNCT
ap-6754	99	4	.	.	PUNCT
ap-6754	100	1	figure	figure	NOUN
ap-6754	100	2	2	2	NUM
ap-6754	100	3	.	.	PUNCT
ap-6754	101	1	(	(	PUNCT
ap-6754	101	2	a	a	X
ap-6754	101	3	)	)	PUNCT
ap-6754	101	4	four	four	NUM
ap-6754	101	5	triangular	triangular	NOUN
ap-6754	101	6	subdivisions	subdivision	NOUN
ap-6754	101	7	,	,	PUNCT
ap-6754	101	8	(	(	PUNCT
ap-6754	101	9	b	b	X
ap-6754	101	10	)	)	PUNCT
ap-6754	101	11	four	four	NUM
ap-6754	101	12	tying	tie	VERB
ap-6754	101	13	points	point	NOUN
ap-6754	101	14	corresponding	correspond	VERB
ap-6754	101	15	to	to	ADP
ap-6754	101	16	these	these	DET
ap-6754	101	17	subdivisions	subdivision	NOUN
ap-6754	101	18	.	.	PUNCT
ap-6754	102	1	(	(	PUNCT
ap-6754	102	2	a	a	X
ap-6754	102	3	)	)	PUNCT
ap-6754	102	4	.	.	PUNCT
ap-6754	103	1	(	(	PUNCT
ap-6754	103	2	b	b	NOUN
ap-6754	103	3	)	)	PUNCT
ap-6754	103	4	.	.	PUNCT
ap-6754	104	1	(	(	PUNCT
ap-6754	104	2	c	c	NOUN
ap-6754	104	3	)	)	PUNCT
ap-6754	104	4	.	.	PUNCT
ap-6754	105	1	(	(	PUNCT
ap-6754	105	2	d	d	NOUN
ap-6754	105	3	)	)	PUNCT
ap-6754	105	4	.	.	PUNCT
ap-6754	106	1	figure	figure	VERB
ap-6754	106	2	3	3	NUM
ap-6754	106	3	.	.	PUNCT
ap-6754	107	1	(	(	PUNCT
ap-6754	107	2	a	a	X
ap-6754	107	3	)	)	PUNCT
ap-6754	107	4	,	,	PUNCT
ap-6754	107	5	(	(	PUNCT
ap-6754	107	6	b	b	X
ap-6754	107	7	)	)	PUNCT
ap-6754	107	8	&	&	CCONJ
ap-6754	107	9	(	(	PUNCT
ap-6754	107	10	c	c	X
ap-6754	107	11	)	)	PUNCT
ap-6754	107	12	nc	nc	NOUN
ap-6754	107	13	smoothing	smooth	VERB
ap-6754	107	14	cells	cell	NOUN
ap-6754	107	15	with	with	ADP
ap-6754	107	16	values	value	NOUN
ap-6754	107	17	of	of	ADP
ap-6754	107	18	shape	shape	NOUN
ap-6754	107	19	functions	function	NOUN
ap-6754	107	20	at	at	ADP
ap-6754	107	21	nodes	node	NOUN
ap-6754	107	22	in	in	ADP
ap-6754	107	23	format	format	NOUN
ap-6754	107	24	(	(	PUNCT
ap-6754	107	25	n1	n1	NOUN
ap-6754	107	26	,	,	PUNCT
ap-6754	107	27	n2	n2	NOUN
ap-6754	107	28	,	,	PUNCT
ap-6754	107	29	n3	n3	PROPN
ap-6754	107	30	,	,	PUNCT
ap-6754	107	31	n4	n4	PROPN
ap-6754	107	32	)	)	PUNCT
ap-6754	107	33	,	,	PUNCT
ap-6754	107	34	(	(	PUNCT
ap-6754	107	35	d	d	X
ap-6754	107	36	)	)	PUNCT
ap-6754	107	37	four	four	NUM
ap-6754	107	38	tying	tying	NOUN
ap-6754	107	39	points	point	NOUN
ap-6754	107	40	for	for	ADP
ap-6754	107	41	calculating	calculate	VERB
ap-6754	107	42	shear	shear	NOUN
ap-6754	107	43	strain	strain	NOUN
ap-6754	107	44	.	.	PUNCT
ap-6754	108	1	531	531	NUM
ap-6754	108	2	hoang	hoang	PROPN
ap-6754	108	3	lan	lan	PROPN
ap-6754	108	4	ton	ton	PROPN
ap-6754	108	5	-	-	PROPN
ap-6754	108	6	that	that	SCONJ
ap-6754	108	7	acta	acta	PROPN
ap-6754	108	8	polytechnica	polytechnica	PROPN
ap-6754	108	9	then	then	ADV
ap-6754	108	10	the	the	DET
ap-6754	108	11	membrane	membrane	NOUN
ap-6754	108	12	strain	strain	NOUN
ap-6754	108	13	is	be	AUX
ap-6754	108	14	approximated	approximate	VERB
ap-6754	108	15	as	as	ADP
ap-6754	108	16	εm	εm	NOUN
ap-6754	108	17	=	=	SYM
ap-6754	108	18	1	1	NUM
ap-6754	108	19	4	4	NUM
ap-6754	108	20	ä	ä	NOUN
ap-6754	108	21	ε̃m(a	ε̃m(a	NOUN
ap-6754	108	22	)	)	PUNCT
ap-6754	108	23	+	+	CCONJ
ap-6754	108	24	ε̃m(b	ε̃m(b	NOUN
ap-6754	108	25	)	)	PUNCT
ap-6754	108	26	+	+	CCONJ
ap-6754	108	27	ε̃m(c	ε̃m(c	NOUN
ap-6754	108	28	)	)	PUNCT
ap-6754	108	29	+	+	CCONJ
ap-6754	108	30	ε̃m(d	ε̃m(d	X
ap-6754	108	31	)	)	PUNCT
ap-6754	109	1	ä	ä	VERB
ap-6754	110	1	+	+	NUM
ap-6754	110	2	1	1	NUM
ap-6754	110	3	2	2	NUM
ap-6754	110	4	ä	ä	NOUN
ap-6754	110	5	−ε̃m(d	−ε̃m(d	NOUN
ap-6754	110	6	)	)	PUNCT
ap-6754	110	7	+	+	NUM
ap-6754	110	8	ε̃m(c	ε̃m(c	NOUN
ap-6754	110	9	)	)	PUNCT
ap-6754	111	1	ä	ä	X
ap-6754	111	2	ξ	ξ	X
ap-6754	111	3	+	+	SYM
ap-6754	111	4	1	1	NUM
ap-6754	111	5	2	2	NUM
ap-6754	111	6	ä	ä	X
ap-6754	111	7	−ε̃m(b	−ε̃m(b	NOUN
ap-6754	111	8	)	)	PUNCT
ap-6754	112	1	+	+	NUM
ap-6754	112	2	ε̃m(a	ε̃m(a	NOUN
ap-6754	112	3	)	)	PUNCT
ap-6754	112	4	ä	ä	PROPN
ap-6754	112	5	η	η	PROPN
ap-6754	112	6	=	=	SYM
ap-6754	112	7	=	=	SYM
ap-6754	112	8	b̃mqm	b̃mqm	NOUN
ap-6754	112	9	=	=	NOUN
ap-6754	112	10	bmq	bmq	NOUN
ap-6754	112	11	(	(	PUNCT
ap-6754	112	12	16	16	NUM
ap-6754	112	13	)	)	PUNCT
ap-6754	112	14	in	in	ADP
ap-6754	112	15	which	which	PRON
ap-6754	112	16	,	,	PUNCT
ap-6754	112	17	ε̃m(a	ε̃m(a	PROPN
ap-6754	112	18	)	)	PUNCT
ap-6754	112	19	,	,	PUNCT
ap-6754	112	20	ε̃m(b	ε̃m(b	NOUN
ap-6754	112	21	)	)	PUNCT
ap-6754	112	22	,	,	PUNCT
ap-6754	112	23	ε̃m(c	ε̃m(c	PROPN
ap-6754	112	24	)	)	PUNCT
ap-6754	112	25	,	,	PUNCT
ap-6754	112	26	ε̃m(d	ε̃m(d	NUM
ap-6754	112	27	)	)	PUNCT
ap-6754	112	28	are	be	AUX
ap-6754	112	29	,	,	PUNCT
ap-6754	112	30	respectively	respectively	ADV
ap-6754	112	31	,	,	PUNCT
ap-6754	112	32	the	the	DET
ap-6754	112	33	membrane	membrane	NOUN
ap-6754	112	34	strains	strain	NOUN
ap-6754	112	35	of	of	ADP
ap-6754	112	36	four	four	NUM
ap-6754	112	37	triangular	triangular	NOUN
ap-6754	112	38	domains	domain	NOUN
ap-6754	112	39	evaluated	evaluate	VERB
ap-6754	112	40	at	at	ADP
ap-6754	112	41	the	the	DET
ap-6754	112	42	tying	tying	NOUN
ap-6754	112	43	points	point	NOUN
ap-6754	112	44	.	.	PUNCT
ap-6754	113	1	the	the	DET
ap-6754	113	2	bending	bend	VERB
ap-6754	113	3	strain	strain	NOUN
ap-6754	113	4	is	be	AUX
ap-6754	113	5	smoothed	smooth	VERB
ap-6754	113	6	by	by	ADP
ap-6754	113	7	following	follow	VERB
ap-6754	113	8	[	[	X
ap-6754	113	9	30	30	NUM
ap-6754	113	10	]	]	PUNCT
ap-6754	113	11	with	with	ADP
ap-6754	113	12	figure	figure	NOUN
ap-6754	113	13	3a	3a	NUM
ap-6754	113	14	,	,	PUNCT
ap-6754	113	15	3b	3b	NUM
ap-6754	113	16	&	&	CCONJ
ap-6754	113	17	3c	3c	NUM
ap-6754	113	18	.	.	PUNCT
ap-6754	114	1	the	the	DET
ap-6754	114	2	liaison	liaison	NOUN
ap-6754	114	3	bet	bet	NOUN
ap-6754	114	4	-	-	PUNCT
ap-6754	114	5	ween	ween	NOUN
ap-6754	114	6	the	the	DET
ap-6754	114	7	nodal	nodal	NOUN
ap-6754	114	8	displacements	displacement	NOUN
ap-6754	114	9	and	and	CCONJ
ap-6754	114	10	the	the	DET
ap-6754	114	11	smoothed	smoothed	ADJ
ap-6754	114	12	bending	bend	VERB
ap-6754	114	13	strain	strain	NOUN
ap-6754	114	14	field	field	NOUN
ap-6754	114	15	is	be	AUX
ap-6754	114	16	written	write	VERB
ap-6754	114	17	as	as	ADP
ap-6754	114	18	εb	εb	ADP
ap-6754	114	19	=	=	SYM
ap-6754	114	20	nc∑	nc∑	NOUN
ap-6754	114	21	i=1	i=1	X
ap-6754	115	1	b̃biqbi	b̃biqbi	NOUN
ap-6754	115	2	=	=	PUNCT
ap-6754	115	3	b̃bqb	b̃bqb	NOUN
ap-6754	115	4	=	=	SYM
ap-6754	115	5	bbq	bbq	NOUN
ap-6754	115	6	b̃bi	b̃bi	PROPN
ap-6754	115	7	=	=	SYM
ap-6754	115	8	1	1	NUM
ap-6754	115	9	ac	ac	PROPN
ap-6754	115	10	∫	∫	PROPN
ap-6754	115	11	γc	γc	PROPN
ap-6754	115	12			PROPN
ap-6754	115	13	0	0	NUM
ap-6754	115	14	ninx	ninx	NOUN
ap-6754	115	15	0	0	NUM
ap-6754	115	16	0	0	SYM
ap-6754	115	17	0	0	NUM
ap-6754	115	18	niny	niny	ADJ
ap-6754	115	19	0	0	NUM
ap-6754	115	20	niny	niny	PROPN
ap-6754	115	21	ninx	ninx	NOUN
ap-6754	115	22			NOUN
ap-6754	115	23	dγ	dγ	ADP
ap-6754	115	24	(	(	PUNCT
ap-6754	115	25	17	17	NUM
ap-6754	115	26	)	)	PUNCT
ap-6754	115	27	with	with	ADP
ap-6754	115	28	ac	ac	PROPN
ap-6754	115	29	and	and	CCONJ
ap-6754	115	30	γc	γc	PROPN
ap-6754	115	31	are	be	AUX
ap-6754	115	32	the	the	DET
ap-6754	115	33	area	area	NOUN
ap-6754	115	34	and	and	CCONJ
ap-6754	115	35	the	the	DET
ap-6754	115	36	boundary	boundary	NOUN
ap-6754	115	37	of	of	ADP
ap-6754	115	38	the	the	DET
ap-6754	115	39	smoothing	smooth	VERB
ap-6754	115	40	cell	cell	NOUN
ap-6754	115	41	,	,	PUNCT
ap-6754	115	42	respectively	respectively	ADV
ap-6754	115	43	;	;	PUNCT
ap-6754	115	44	nx	nx	PROPN
ap-6754	115	45	and	and	CCONJ
ap-6754	115	46	ny	ny	PROPN
ap-6754	115	47	are	be	AUX
ap-6754	115	48	the	the	DET
ap-6754	115	49	components	component	NOUN
ap-6754	115	50	of	of	ADP
ap-6754	115	51	the	the	DET
ap-6754	115	52	vector	vector	NOUN
ap-6754	115	53	normal	normal	ADJ
ap-6754	115	54	to	to	ADP
ap-6754	115	55	the	the	DET
ap-6754	115	56	boundary	boundary	ADJ
ap-6754	115	57	γc	γc	PROPN
ap-6754	115	58	.	.	PUNCT
ap-6754	115	59	based	base	VERB
ap-6754	115	60	on	on	ADP
ap-6754	115	61	the	the	DET
ap-6754	115	62	assumed	assume	VERB
ap-6754	115	63	constant	constant	ADJ
ap-6754	115	64	transverse	transverse	NOUN
ap-6754	115	65	shear	shear	NOUN
ap-6754	115	66	strain	strain	NOUN
ap-6754	115	67	conditions	condition	NOUN
ap-6754	115	68	along	along	ADP
ap-6754	115	69	the	the	DET
ap-6754	115	70	edges	edge	NOUN
ap-6754	115	71	and	and	CCONJ
ap-6754	115	72	using	use	VERB
ap-6754	115	73	four	four	NUM
ap-6754	115	74	tying	tying	NOUN
ap-6754	115	75	points	point	NOUN
ap-6754	115	76	as	as	SCONJ
ap-6754	115	77	shown	show	VERB
ap-6754	115	78	in	in	ADP
ap-6754	115	79	figure	figure	NOUN
ap-6754	115	80	3d	3d	NOUN
ap-6754	115	81	,	,	PUNCT
ap-6754	115	82	the	the	DET
ap-6754	115	83	shear	shear	NOUN
ap-6754	115	84	strain	strain	NOUN
ap-6754	115	85	related	relate	VERB
ap-6754	115	86	to	to	ADP
ap-6754	115	87	[	[	X
ap-6754	115	88	31	31	NUM
ap-6754	115	89	]	]	PUNCT
ap-6754	115	90	can	can	AUX
ap-6754	115	91	be	be	AUX
ap-6754	115	92	expressed	express	VERB
ap-6754	115	93	εs	εs	ADP
ap-6754	115	94	=	=	PUNCT
ap-6754	115	95	b̃sqs	b̃sq	NOUN
ap-6754	115	96	=	=	SYM
ap-6754	115	97	bsq	bsq	X
ap-6754	116	1	b̃si	b̃si	PROPN
ap-6754	116	2	=	=	SYM
ap-6754	116	3	ï	ï	PROPN
ap-6754	116	4	xξ	xξ	NOUN
ap-6754	116	5	yξ	yξ	NOUN
ap-6754	116	6	xη	xη	PROPN
ap-6754	116	7	yη	yη	PROPN
ap-6754	116	8	ò−1	ò−1	PROPN
ap-6754	116	9	ï	ï	PROPN
ap-6754	116	10	ni	ni	PROPN
ap-6754	116	11	,	,	PUNCT
ap-6754	116	12	ξ	ξ	PROPN
ap-6754	116	13	b11	b11	PROPN
ap-6754	116	14	i	i	PROPN
ap-6754	116	15	ni	ni	PROPN
ap-6754	116	16	,	,	PUNCT
ap-6754	116	17	ξ	ξ	PROPN
ap-6754	116	18	b12	b12	NOUN
ap-6754	116	19	i	i	PROPN
ap-6754	116	20	ni	ni	PROPN
ap-6754	116	21	,	,	PUNCT
ap-6754	116	22	ξ	ξ	PROPN
ap-6754	116	23	ni	ni	PROPN
ap-6754	116	24	,	,	PUNCT
ap-6754	116	25	η	η	PROPN
ap-6754	116	26	b21	b21	PROPN
ap-6754	116	27	i	i	PROPN
ap-6754	116	28	ni	ni	PROPN
ap-6754	116	29	,	,	PUNCT
ap-6754	116	30	η	η	PROPN
ap-6754	116	31	b22	b22	PROPN
ap-6754	116	32	i	i	PROPN
ap-6754	116	33	ni	ni	PROPN
ap-6754	116	34	,	,	PUNCT
ap-6754	116	35	η	η	PROPN
ap-6754	116	36	ò	ò	X
ap-6754	116	37	(	(	PUNCT
ap-6754	116	38	18	18	NUM
ap-6754	116	39	)	)	PUNCT
ap-6754	116	40	where	where	SCONJ
ap-6754	116	41	b11	b11	PROPN
ap-6754	116	42	i	i	PROPN
ap-6754	116	43	=	=	PUNCT
ap-6754	116	44	ξix	ξix	PROPN
ap-6754	116	45	m	m	PROPN
ap-6754	116	46	ξ	ξ	PROPN
ap-6754	116	47	,	,	PUNCT
ap-6754	116	48	b12	b12	NOUN
ap-6754	116	49	i	i	NOUN
ap-6754	116	50	=	=	PUNCT
ap-6754	116	51	ξiy	ξiy	NUM
ap-6754	116	52	m	m	PROPN
ap-6754	116	53	ξ	ξ	PROPN
ap-6754	116	54	,	,	PUNCT
ap-6754	116	55	b21	b21	PROPN
ap-6754	116	56	i	i	NOUN
ap-6754	116	57	=	=	PROPN
ap-6754	116	58	ηix	ηix	PROPN
ap-6754	116	59	l	l	PROPN
ap-6754	116	60	η	η	PROPN
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ap-6754	116	62	b22	b22	PROPN
ap-6754	116	63	i	i	PROPN
ap-6754	116	64	=	=	PUNCT
ap-6754	116	65	ηiy	ηiy	PROPN
ap-6754	116	66	l	l	PROPN
ap-6754	116	67	η	η	PROPN
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ap-6754	116	69	which	which	PRON
ap-6754	116	70	ξi	ξi	NOUN
ap-6754	116	71	∈	∈	PROPN
ap-6754	116	72	{	{	PUNCT
ap-6754	116	73	−1	−1	NOUN
ap-6754	116	74	1	1	NUM
ap-6754	116	75	1	1	NUM
ap-6754	116	76	−	−	NUM
ap-6754	116	77	1	1	NUM
ap-6754	116	78	}	}	PUNCT
ap-6754	116	79	,	,	PUNCT
ap-6754	116	80	ηi	ηi	PROPN
ap-6754	116	81	∈	∈	PROPN
ap-6754	116	82	{	{	PUNCT
ap-6754	116	83	−1	−1	NOUN
ap-6754	116	84	−	−	NOUN
ap-6754	116	85	1	1	NUM
ap-6754	116	86	1	1	NUM
ap-6754	116	87	1	1	NUM
ap-6754	116	88	}	}	PUNCT
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ap-6754	116	91	i	i	PROPN
ap-6754	116	92	,	,	PUNCT
ap-6754	116	93	m	m	PROPN
ap-6754	116	94	,	,	PUNCT
ap-6754	116	95	l	l	NOUN
ap-6754	116	96	)	)	PUNCT
ap-6754	116	97	∈	∈	NOUN
ap-6754	116	98	{	{	PUNCT
ap-6754	116	99	(	(	PUNCT
ap-6754	116	100	1	1	NUM
ap-6754	116	101	,	,	PUNCT
ap-6754	116	102	f	f	X
ap-6754	116	103	,	,	PUNCT
ap-6754	116	104	h	h	NOUN
ap-6754	116	105	)	)	PUNCT
ap-6754	116	106	,	,	PUNCT
ap-6754	116	107	(	(	PUNCT
ap-6754	116	108	2	2	NUM
ap-6754	116	109	,	,	PUNCT
ap-6754	116	110	f	f	PROPN
ap-6754	116	111	,	,	PUNCT
ap-6754	116	112	g	g	PROPN
ap-6754	116	113	)	)	PUNCT
ap-6754	116	114	,	,	PUNCT
ap-6754	116	115	(	(	PUNCT
ap-6754	116	116	2	2	NUM
ap-6754	116	117	,	,	PUNCT
ap-6754	116	118	e	e	NOUN
ap-6754	116	119	,	,	PUNCT
ap-6754	116	120	g	g	NOUN
ap-6754	116	121	)	)	PUNCT
ap-6754	116	122	,	,	PUNCT
ap-6754	116	123	(	(	PUNCT
ap-6754	116	124	4	4	NUM
ap-6754	116	125	,	,	PUNCT
ap-6754	116	126	e	e	NOUN
ap-6754	116	127	,	,	PUNCT
ap-6754	116	128	h	h	NOUN
ap-6754	116	129	)	)	PUNCT
ap-6754	116	130	}	}	PUNCT
ap-6754	116	131	as	as	ADV
ap-6754	116	132	well	well	ADV
ap-6754	116	133	as	as	ADP
ap-6754	116	134	n	n	NOUN
ap-6754	116	135	=	=	SYM
ap-6754	116	136	1	1	NUM
ap-6754	116	137	2	2	NUM
ap-6754	116	138	ï	ï	NOUN
ap-6754	116	139	1−	1−	NUM
ap-6754	116	140	ξ	ξ	SYM
ap-6754	116	141	0	0	NUM
ap-6754	116	142	1	1	NUM
ap-6754	116	143	+	+	SYM
ap-6754	116	144	ξ	ξ	SYM
ap-6754	116	145	0	0	SYM
ap-6754	116	146	0	0	NUM
ap-6754	116	147	1−	1−	NUM
ap-6754	116	148	η	η	PROPN
ap-6754	116	149	0	0	NUM
ap-6754	116	150	1	1	NUM
ap-6754	116	151	+	+	CCONJ
ap-6754	116	152	η	η	PROPN
ap-6754	116	153	ò	ò	X
ap-6754	116	154	(	(	PUNCT
ap-6754	116	155	19	19	NUM
ap-6754	116	156	)	)	PUNCT
ap-6754	116	157	the	the	DET
ap-6754	116	158	normal	normal	ADJ
ap-6754	116	159	forces	force	NOUN
ap-6754	116	160	,	,	PUNCT
ap-6754	116	161	bending	bend	VERB
ap-6754	116	162	moments	moment	NOUN
ap-6754	116	163	and	and	CCONJ
ap-6754	116	164	shear	shear	ADJ
ap-6754	116	165	force	force	NOUN
ap-6754	116	166	can	can	AUX
ap-6754	116	167	then	then	ADV
ap-6754	116	168	be	be	AUX
ap-6754	116	169	computed	compute	VERB
ap-6754	116	170	through	through	ADP
ap-6754	116	171	the	the	DET
ap-6754	116	172	following	follow	VERB
ap-6754	116	173	relations	relation	NOUN
ap-6754	116	174	n	n	NOUN
ap-6754	116	175	=	=	PRON
ap-6754	116	176	{	{	PUNCT
ap-6754	116	177	ñx	ñx	PROPN
ap-6754	116	178	ñy	ñy	PROPN
ap-6754	116	179	ñxy	ñxy	PROPN
ap-6754	116	180	}	}	PUNCT
ap-6754	116	181	t	t	NOUN
ap-6754	116	182	=	=	SYM
ap-6754	116	183	∫	∫	PROPN
ap-6754	116	184	h/2	h/2	X
ap-6754	116	185	−h/2	−h/2	PROPN
ap-6754	116	186	{	{	PUNCT
ap-6754	116	187	σx	σx	NOUN
ap-6754	116	188	σy	σy	VERB
ap-6754	116	189	σxy	σxy	NOUN
ap-6754	116	190	}	}	PUNCT
ap-6754	116	191	t	t	NOUN
ap-6754	116	192	dz	dz	X
ap-6754	116	193	=	=	SYM
ap-6754	116	194	∫	∫	PROPN
ap-6754	116	195	h/2	h/2	PROPN
ap-6754	116	196	−h/2	−h/2	PROPN
ap-6754	116	197	dm(z	dm(z	PROPN
ap-6754	116	198	)	)	PUNCT
ap-6754	116	199	ä	ä	X
ap-6754	116	200	εm	εm	NOUN
ap-6754	117	1	+	+	CCONJ
ap-6754	117	2	zεb	zεb	PROPN
ap-6754	117	3	−	−	PROPN
ap-6754	117	4	ε(t	ε(t	NOUN
ap-6754	117	5	)	)	PUNCT
ap-6754	118	1	ä	ä	PROPN
ap-6754	118	2	dz	dz	X
ap-6754	118	3	(	(	PUNCT
ap-6754	118	4	20	20	NUM
ap-6754	118	5	)	)	PUNCT
ap-6754	118	6	m	m	VERB
ap-6754	118	7	=	=	SYM
ap-6754	118	8	{	{	PUNCT
ap-6754	118	9	m̃x	m̃x	PROPN
ap-6754	118	10	m̃y	m̃y	X
ap-6754	118	11	m̃xy	m̃xy	PROPN
ap-6754	118	12	}	}	PUNCT
ap-6754	118	13	t	t	PROPN
ap-6754	118	14	=	=	SYM
ap-6754	118	15	∫	∫	PROPN
ap-6754	118	16	h/2	h/2	X
ap-6754	118	17	−h/2	−h/2	PROPN
ap-6754	118	18	{	{	PUNCT
ap-6754	118	19	σx	σx	NOUN
ap-6754	118	20	σy	σy	VERB
ap-6754	118	21	σxy	σxy	NOUN
ap-6754	118	22	}	}	PUNCT
ap-6754	118	23	t	t	NOUN
ap-6754	118	24	zdz	zdz	NOUN
ap-6754	118	25	=	=	SYM
ap-6754	118	26	∫	∫	PROPN
ap-6754	118	27	h/2	h/2	PROPN
ap-6754	118	28	−h/2	−h/2	PROPN
ap-6754	118	29	dm(z	dm(z	PROPN
ap-6754	118	30	)	)	PUNCT
ap-6754	118	31	ä	ä	X
ap-6754	118	32	εm	εm	NOUN
ap-6754	118	33	+	+	CCONJ
ap-6754	118	34	zεb	zεb	PROPN
ap-6754	118	35	−	−	PROPN
ap-6754	118	36	ε(t	ε(t	NOUN
ap-6754	118	37	)	)	PUNCT
ap-6754	119	1	ä	ä	NOUN
ap-6754	119	2	zdz	zdz	NOUN
ap-6754	119	3	(	(	PUNCT
ap-6754	119	4	21	21	NUM
ap-6754	119	5	)	)	PUNCT
ap-6754	119	6	q	q	NOUN
ap-6754	120	1	=	=	PUNCT
ap-6754	120	2	{	{	PUNCT
ap-6754	120	3	q̃y	q̃y	PROPN
ap-6754	120	4	q̃x	q̃x	PROPN
ap-6754	120	5	}	}	PUNCT
ap-6754	120	6	t	t	NOUN
ap-6754	120	7	=	=	SYM
ap-6754	120	8	∫	∫	PROPN
ap-6754	120	9	h/2	h/2	PROPN
ap-6754	120	10	−h/2	−h/2	PROPN
ap-6754	120	11	{	{	PUNCT
ap-6754	120	12	τyz	τyz	PROPN
ap-6754	120	13	τxz	τxz	PROPN
ap-6754	120	14	}	}	PUNCT
ap-6754	120	15	t	t	NOUN
ap-6754	120	16	dz	dz	X
ap-6754	120	17	=	=	SYM
ap-6754	120	18	∫	∫	PROPN
ap-6754	120	19	h/2	h/2	X
ap-6754	120	20	−h/2	−h/2	PROPN
ap-6754	120	21	ds(z	ds(z	X
ap-6754	120	22	)	)	PUNCT
ap-6754	120	23	(	(	PUNCT
ap-6754	120	24	εs	εs	NOUN
ap-6754	120	25	)	)	PUNCT
ap-6754	120	26	dz	dz	PROPN
ap-6754	120	27	(	(	PUNCT
ap-6754	120	28	22	22	NUM
ap-6754	120	29	)	)	PUNCT
ap-6754	120	30	above	above	ADP
ap-6754	120	31	equations	equation	NOUN
ap-6754	120	32	can	can	AUX
ap-6754	120	33	be	be	AUX
ap-6754	120	34	presented	present	VERB
ap-6754	120	35	in	in	ADP
ap-6754	120	36	the	the	DET
ap-6754	120	37	matrix	matrix	NOUN
ap-6754	120	38	form	form	NUM
ap-6754	120	39	n	n	NOUN
ap-6754	120	40	m	m	NOUN
ap-6754	120	41	q	q	ADJ
ap-6754	120	42			NOUN
ap-6754	120	43	=	=	PUNCT
ap-6754	120	44			PROPN
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ap-6754	120	46	b	b	NOUN
ap-6754	120	47	0	0	NUM
ap-6754	120	48	b	b	PROPN
ap-6754	121	1	d	d	NOUN
ap-6754	121	2	0	0	NUM
ap-6754	121	3	0	0	NUM
ap-6754	121	4	0	0	NUM
ap-6754	121	5	â	â	X
ap-6754	121	6			VERB
ap-6754	121	7	εm	εm	NOUN
ap-6754	121	8	εb	εb	ADP
ap-6754	121	9	εs	εs	ADP
ap-6754	121	10	−	−	PROPN
ap-6754	121	11			PROPN
ap-6754	121	12	n	n	PROPN
ap-6754	121	13	(	(	PUNCT
ap-6754	121	14	t	t	PROPN
ap-6754	121	15	)	)	PUNCT
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ap-6754	121	17	(	(	PUNCT
ap-6754	121	18	t	t	PROPN
ap-6754	121	19	)	)	PUNCT
ap-6754	121	20	0	0	NUM
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ap-6754	122	3	23	23	NUM
ap-6754	122	4	)	)	PUNCT
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ap-6754	122	8	,	,	PUNCT
ap-6754	122	9	b	b	NOUN
ap-6754	122	10	,	,	PUNCT
ap-6754	122	11	d	d	NOUN
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ap-6754	122	13	=	=	SYM
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ap-6754	122	15	h/2	h/2	X
ap-6754	122	16	−h/2	−h/2	PROPN
ap-6754	122	17	(	(	PUNCT
ap-6754	122	18	1	1	NUM
ap-6754	122	19	,	,	PUNCT
ap-6754	122	20	z	z	NOUN
ap-6754	122	21	,	,	PUNCT
ap-6754	122	22	z2	z2	ADJ
ap-6754	122	23	)	)	PUNCT
ap-6754	122	24	dm(z)dz	dm(z)dz	PROPN
ap-6754	122	25	(	(	PUNCT
ap-6754	122	26	24)ä	24)ä	NUM
ap-6754	122	27	â	â	X
ap-6754	122	28	ä	ä	X
ap-6754	122	29	=	=	SYM
ap-6754	122	30	∫	∫	PROPN
ap-6754	122	31	h/2	h/2	X
ap-6754	122	32	−h/2	−h/2	PROPN
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ap-6754	122	34	(	(	PUNCT
ap-6754	122	35	25)ä	25)ä	NUM
ap-6754	122	36	n	n	CCONJ
ap-6754	122	37	(	(	PUNCT
ap-6754	122	38	t	t	PROPN
ap-6754	122	39	)	)	PUNCT
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ap-6754	122	41	m	m	PROPN
ap-6754	122	42	(	(	PUNCT
ap-6754	122	43	t	t	NOUN
ap-6754	122	44	)	)	PUNCT
ap-6754	122	45	ä	ä	PUNCT
ap-6754	122	46	=	=	PUNCT
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ap-6754	122	48	h/2	h/2	X
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ap-6754	122	50	dm(z)(1	dm(z)(1	PROPN
ap-6754	122	51	,	,	PUNCT
ap-6754	122	52	z	z	NOUN
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ap-6754	122	54	{	{	PUNCT
ap-6754	122	55	1	1	NUM
ap-6754	122	56	1	1	NUM
ap-6754	122	57	0	0	NUM
ap-6754	122	58	}	}	PUNCT
ap-6754	122	59	tα(z)∆tdz	tα(z)∆tdz	NOUN
ap-6754	122	60	(	(	PUNCT
ap-6754	122	61	26	26	NUM
ap-6754	122	62	)	)	PUNCT
ap-6754	122	63	the	the	DET
ap-6754	122	64	total	total	ADJ
ap-6754	122	65	strain	strain	NOUN
ap-6754	122	66	energy	energy	NOUN
ap-6754	122	67	of	of	ADP
ap-6754	122	68	a	a	DET
ap-6754	122	69	plate	plate	NOUN
ap-6754	122	70	due	due	ADP
ap-6754	122	71	to	to	ADP
ap-6754	122	72	the	the	DET
ap-6754	122	73	normal	normal	ADJ
ap-6754	122	74	forces	force	NOUN
ap-6754	122	75	,	,	PUNCT
ap-6754	122	76	shear	shear	NOUN
ap-6754	122	77	force	force	NOUN
ap-6754	122	78	and	and	CCONJ
ap-6754	122	79	bending	bend	VERB
ap-6754	122	80	moments	moment	NOUN
ap-6754	122	81	can	can	AUX
ap-6754	122	82	be	be	AUX
ap-6754	122	83	given	give	VERB
ap-6754	122	84	by	by	ADP
ap-6754	122	85	u	u	NOUN
ap-6754	122	86	=	=	SYM
ap-6754	122	87	1	1	NUM
ap-6754	122	88	2	2	NUM
ap-6754	122	89	∫	∫	NOUN
ap-6754	122	90	ve	ve	NOUN
ap-6754	122	91	εtσdv	εtσdv	PROPN
ap-6754	122	92	=	=	SYM
ap-6754	122	93	∫	∫	PROPN
ap-6754	122	94	se	se	PROPN
ap-6754	122	95	utfds	utfds	PROPN
ap-6754	122	96	=	=	NOUN
ap-6754	122	97	1	1	NUM
ap-6754	122	98	2q	2q	NUM
ap-6754	122	99	t	t	PROPN
ap-6754	122	100	∫	∫	X
ap-6754	122	101	se	se	PROPN
ap-6754	123	1	ä	ä	PROPN
ap-6754	124	1	bt	bt	PROPN
ap-6754	124	2	mabm	mabm	VERB
ap-6754	125	1	+	+	PROPN
ap-6754	125	2	bt	bt	NOUN
ap-6754	125	3	mbbb	mbbb	NOUN
ap-6754	125	4	+	+	PROPN
ap-6754	125	5	bt	bt	NOUN
ap-6754	125	6	b	b	SYM
ap-6754	125	7	bbm	bbm	PROPN
ap-6754	125	8	+	+	PROPN
ap-6754	125	9	bt	bt	PROPN
ap-6754	125	10	b	b	PROPN
ap-6754	125	11	dbb	dbb	PROPN
ap-6754	125	12	+	+	PROPN
ap-6754	125	13	bt	bt	X
ap-6754	125	14	s	s	X
ap-6754	125	15	âbs	âbs	ADJ
ap-6754	125	16	ä	ä	PROPN
ap-6754	125	17	dsq−	dsq−	PROPN
ap-6754	125	18	−	−	PROPN
ap-6754	125	19	qt	qt	PROPN
ap-6754	125	20	∫	∫	PROPN
ap-6754	125	21	se	se	PROPN
ap-6754	125	22	(	(	PUNCT
ap-6754	125	23	bt	bt	PROPN
ap-6754	125	24	mn	mn	PROPN
ap-6754	125	25	(	(	PUNCT
ap-6754	125	26	t	t	PROPN
ap-6754	125	27	)	)	PUNCT
ap-6754	126	1	+	+	ADP
ap-6754	126	2	bt	bt	PROPN
ap-6754	126	3	b	b	PROPN
ap-6754	126	4	m	m	PROPN
ap-6754	126	5	(	(	PUNCT
ap-6754	126	6	t	t	NOUN
ap-6754	126	7	)	)	PUNCT
ap-6754	126	8	)	)	PUNCT
ap-6754	126	9	ds	ds	PROPN
ap-6754	126	10	−	−	PROPN
ap-6754	126	11	qt	qt	PROPN
ap-6754	126	12	∫	∫	PROPN
ap-6754	126	13	se	se	PROPN
ap-6754	126	14	ntfds+	ntfds+	PRON
ap-6754	126	15	1	1	NUM
ap-6754	126	16	2	2	NUM
ap-6754	126	17	∫	∫	PROPN
ap-6754	126	18	se	se	X
ap-6754	126	19	(	(	PUNCT
ap-6754	126	20	ε(t	ε(t	PROPN
ap-6754	126	21	)	)	PUNCT
ap-6754	126	22	)	)	PUNCT
ap-6754	126	23	taε(t	taε(t	X
ap-6754	126	24	)	)	PUNCT
ap-6754	126	25	ds	ds	NOUN
ap-6754	126	26	(	(	PUNCT
ap-6754	126	27	27	27	NUM
ap-6754	126	28	)	)	PUNCT
ap-6754	126	29	532	532	NUM
ap-6754	126	30	vol	vol	NOUN
ap-6754	126	31	.	.	PUNCT
ap-6754	127	1	60	60	NUM
ap-6754	127	2	no	no	INTJ
ap-6754	127	3	.	.	PUNCT
ap-6754	128	1	6/2020	6/2020	NUM
ap-6754	128	2	a	a	DET
ap-6754	128	3	combined	combine	VERB
ap-6754	128	4	strain	strain	NOUN
ap-6754	128	5	element	element	NOUN
ap-6754	128	6	to	to	ADP
ap-6754	128	7	functionally	functionally	ADV
ap-6754	128	8	graded	grade	VERB
ap-6754	128	9	structures	structure	NOUN
ap-6754	128	10	.	.	PUNCT
ap-6754	128	11	.	.	PUNCT
ap-6754	128	12	.	.	PUNCT
ap-6754	129	1	u	u	NOUN
ap-6754	129	2	=	=	NOUN
ap-6754	129	3	1	1	NUM
ap-6754	129	4	2q	2q	NUM
ap-6754	129	5	t	t	PROPN
ap-6754	129	6	ekeqe	ekeqe	PROPN
ap-6754	129	7	−	−	PROPN
ap-6754	129	8	qte	qte	PROPN
ap-6754	129	9	f	f	PROPN
ap-6754	129	10	(	(	PUNCT
ap-6754	129	11	t	t	PROPN
ap-6754	129	12	)	)	PUNCT
ap-6754	130	1	e	e	X
ap-6754	130	2	−	−	PROPN
ap-6754	130	3	qte	qte	PROPN
ap-6754	130	4	fe	fe	X
ap-6754	131	1	+	+	NOUN
ap-6754	131	2	c(t	c(t	PROPN
ap-6754	131	3	)	)	PUNCT
ap-6754	131	4	=	=	PUNCT
ap-6754	131	5	qte	qte	PROPN
ap-6754	131	6	å1	å1	PROPN
ap-6754	131	7	2keqe	2keqe	NUM
ap-6754	131	8	−	−	PROPN
ap-6754	131	9	f	f	PROPN
ap-6754	131	10	(	(	PUNCT
ap-6754	131	11	t	t	PROPN
ap-6754	131	12	)	)	PUNCT
ap-6754	132	1	e	e	NOUN
ap-6754	132	2	−	−	PROPN
ap-6754	132	3	fe	fe	X
ap-6754	132	4	ã	ã	X
ap-6754	132	5	+	+	NOUN
ap-6754	132	6	c(t	c(t	PROPN
ap-6754	132	7	)	)	PUNCT
ap-6754	132	8	(	(	PUNCT
ap-6754	132	9	28	28	NUM
ap-6754	132	10	)	)	PUNCT
ap-6754	132	11	the	the	DET
ap-6754	132	12	kinetic	kinetic	ADJ
ap-6754	132	13	energy	energy	NOUN
ap-6754	132	14	is	be	AUX
ap-6754	132	15	shown	show	VERB
ap-6754	132	16	t	t	NOUN
ap-6754	132	17	=	=	SYM
ap-6754	132	18	1	1	NUM
ap-6754	132	19	2	2	NUM
ap-6754	132	20	∫	∫	NOUN
ap-6754	132	21	ve	ve	PROPN
ap-6754	133	1	u̇tρ(z)u̇dv	u̇tρ(z)u̇dv	PROPN
ap-6754	133	2	=	=	NOUN
ap-6754	133	3	1	1	NUM
ap-6754	133	4	2	2	NUM
ap-6754	133	5	q̇	q̇	NOUN
ap-6754	133	6	t	t	NOUN
ap-6754	133	7	ß∫	ß∫	VERB
ap-6754	133	8	ve	ve	CCONJ
ap-6754	133	9	ntltρ(z)lndv	ntltρ(z)lndv	NUM
ap-6754	133	10	™	™	NOUN
ap-6754	133	11	q̇	q̇	ADJ
ap-6754	133	12	=	=	NOUN
ap-6754	133	13	1	1	NUM
ap-6754	133	14	2	2	NUM
ap-6754	133	15	q̇	q̇	NOUN
ap-6754	133	16	tmeq̇	tmeq̇	NOUN
ap-6754	133	17	(	(	PUNCT
ap-6754	133	18	29	29	NUM
ap-6754	133	19	)	)	PUNCT
ap-6754	133	20	in	in	ADP
ap-6754	133	21	which	which	PRON
ap-6754	133	22	l	l	NOUN
ap-6754	133	23	is	be	AUX
ap-6754	133	24	clearly	clearly	ADV
ap-6754	133	25	described	describe	VERB
ap-6754	133	26	as	as	ADP
ap-6754	133	27	l	l	NOUN
ap-6754	133	28	=	=	SYM
ap-6754	133	29			PROPN
ap-6754	133	30	1	1	NUM
ap-6754	133	31	0	0	NUM
ap-6754	133	32	0	0	NUM
ap-6754	133	33	0	0	NUM
ap-6754	133	34	z	z	NOUN
ap-6754	133	35	0	0	NUM
ap-6754	133	36	1	1	NUM
ap-6754	133	37	0	0	NUM
ap-6754	133	38	−z	−z	NOUN
ap-6754	133	39	0	0	NUM
ap-6754	133	40	0	0	NUM
ap-6754	133	41	0	0	NUM
ap-6754	133	42	1	1	NUM
ap-6754	133	43	0	0	NUM
ap-6754	133	44	0	0	NUM
ap-6754	133	45			NOUN
ap-6754	133	46	(	(	PUNCT
ap-6754	133	47	30	30	NUM
ap-6754	133	48	)	)	PUNCT
ap-6754	133	49	and	and	CCONJ
ap-6754	133	50	the	the	DET
ap-6754	133	51	mass	mass	ADJ
ap-6754	133	52	matrix	matrix	NOUN
ap-6754	133	53	of	of	ADP
ap-6754	133	54	element	element	NOUN
ap-6754	133	55	is	be	AUX
ap-6754	133	56	presented	present	VERB
ap-6754	133	57	me	i	PRON
ap-6754	133	58	=	=	SYM
ap-6754	133	59	∫	∫	PROPN
ap-6754	134	1	ve	ve	VERB
ap-6754	134	2	ntltρ(z)lndv	ntltρ(z)lndv	NUM
ap-6754	134	3	=	=	SYM
ap-6754	134	4	∫	∫	PROPN
ap-6754	134	5	se	se	PROPN
ap-6754	134	6	nt	nt	PROPN
ap-6754	134	7	ç∫	ç∫	ADV
ap-6754	134	8	h/2	h/2	X
ap-6754	134	9	−h/2	−h/2	PROPN
ap-6754	134	10	ρ(z)ltldz	ρ(z)ltldz	PRON
ap-6754	134	11	å	å	PROPN
ap-6754	134	12	nds	nds	X
ap-6754	134	13	(	(	PUNCT
ap-6754	134	14	31	31	NUM
ap-6754	134	15	)	)	PUNCT
ap-6754	134	16	for	for	ADP
ap-6754	134	17	the	the	DET
ap-6754	134	18	bending	bend	VERB
ap-6754	134	19	analysis	analysis	NOUN
ap-6754	134	20	,	,	PUNCT
ap-6754	134	21	the	the	DET
ap-6754	134	22	bending	bend	VERB
ap-6754	134	23	solutions	solution	NOUN
ap-6754	134	24	can	can	AUX
ap-6754	134	25	be	be	AUX
ap-6754	134	26	obtained	obtain	VERB
ap-6754	134	27	by	by	ADP
ap-6754	134	28	solving	solve	VERB
ap-6754	134	29	the	the	DET
ap-6754	134	30	following	follow	VERB
ap-6754	134	31	equation	equation	NOUN
ap-6754	135	1	kd	kd	X
ap-6754	135	2	=	=	PUNCT
ap-6754	135	3	f	f	PROPN
ap-6754	136	1	+	+	NUM
ap-6754	136	2	f	f	PROPN
ap-6754	136	3	(	(	PUNCT
ap-6754	136	4	t	t	PROPN
ap-6754	136	5	)	)	PUNCT
ap-6754	136	6	(	(	PUNCT
ap-6754	136	7	32	32	NUM
ap-6754	136	8	)	)	PUNCT
ap-6754	136	9	the	the	DET
ap-6754	136	10	dynamic	dynamic	ADJ
ap-6754	136	11	equations	equation	NOUN
ap-6754	136	12	for	for	ADP
ap-6754	136	13	solving	solve	VERB
ap-6754	136	14	the	the	DET
ap-6754	136	15	eigenvalue	eigenvalue	NOUN
ap-6754	136	16	can	can	AUX
ap-6754	136	17	be	be	AUX
ap-6754	136	18	given	give	VERB
ap-6754	136	19	as	as	ADP
ap-6754	136	20	(	(	PUNCT
ap-6754	136	21	k	k	NOUN
ap-6754	136	22	−	−	PROPN
ap-6754	136	23	ω2m)d	ω2m)d	SYM
ap-6754	136	24	=	=	SYM
ap-6754	136	25	0	0	NUM
ap-6754	136	26	(	(	PUNCT
ap-6754	136	27	33	33	NUM
ap-6754	136	28	)	)	PUNCT
ap-6754	136	29	for	for	ADP
ap-6754	136	30	shell	shell	ADJ
ap-6754	136	31	structures	structure	NOUN
ap-6754	136	32	,	,	PUNCT
ap-6754	136	33	the	the	DET
ap-6754	136	34	drilling	drilling	NOUN
ap-6754	136	35	rotation	rotation	NOUN
ap-6754	136	36	is	be	AUX
ap-6754	136	37	added	add	VERB
ap-6754	136	38	in	in	ADP
ap-6754	136	39	the	the	DET
ap-6754	136	40	local	local	ADJ
ap-6754	136	41	matrices	matrix	NOUN
ap-6754	136	42	.	.	PUNCT
ap-6754	137	1	the	the	DET
ap-6754	137	2	null	null	ADJ
ap-6754	137	3	values	value	NOUN
ap-6754	137	4	of	of	ADP
ap-6754	137	5	the	the	DET
ap-6754	137	6	stiffness	stiffness	NOUN
ap-6754	137	7	corresponding	correspond	VERB
ap-6754	137	8	to	to	ADP
ap-6754	137	9	this	this	DET
ap-6754	137	10	drilling	drilling	NOUN
ap-6754	137	11	rotation	rotation	NOUN
ap-6754	137	12	are	be	AUX
ap-6754	137	13	obtained	obtain	VERB
ap-6754	137	14	by	by	ADP
ap-6754	137	15	using	use	VERB
ap-6754	137	16	approximate	approximate	ADJ
ap-6754	137	17	values	value	NOUN
ap-6754	137	18	.	.	PUNCT
ap-6754	138	1	this	this	DET
ap-6754	138	2	value	value	NOUN
ap-6754	138	3	was	be	AUX
ap-6754	138	4	equal	equal	ADJ
ap-6754	138	5	to	to	ADP
ap-6754	138	6	10−	10−	NUM
ap-6754	138	7	3	3	NUM
ap-6754	138	8	times	time	NOUN
ap-6754	138	9	the	the	DET
ap-6754	138	10	maximum	maximum	ADJ
ap-6754	138	11	diagonal	diagonal	ADJ
ap-6754	138	12	value	value	NOUN
ap-6754	138	13	in	in	ADP
ap-6754	138	14	the	the	DET
ap-6754	138	15	stiffness	stiffness	ADJ
ap-6754	138	16	matrix	matrix	NOUN
ap-6754	138	17	of	of	ADP
ap-6754	138	18	the	the	DET
ap-6754	138	19	element	element	NOUN
ap-6754	138	20	[	[	X
ap-6754	138	21	32	32	NUM
ap-6754	138	22	]	]	PUNCT
ap-6754	138	23	.	.	PUNCT
ap-6754	139	1	3	3	X
ap-6754	139	2	.	.	X
ap-6754	139	3	numerical	numerical	ADJ
ap-6754	139	4	results	result	NOUN
ap-6754	139	5	in	in	ADP
ap-6754	139	6	this	this	DET
ap-6754	139	7	section	section	NOUN
ap-6754	139	8	,	,	PUNCT
ap-6754	139	9	the	the	DET
ap-6754	139	10	numerical	numerical	ADJ
ap-6754	139	11	solutions	solution	NOUN
ap-6754	139	12	for	for	ADP
ap-6754	139	13	static	static	ADJ
ap-6754	139	14	bending	bending	NOUN
ap-6754	139	15	and	and	CCONJ
ap-6754	139	16	free	free	ADJ
ap-6754	139	17	vibration	vibration	NOUN
ap-6754	139	18	analyses	analysis	NOUN
ap-6754	139	19	of	of	ADP
ap-6754	139	20	functionally	functionally	ADV
ap-6754	139	21	graded	grade	VERB
ap-6754	139	22	structures	structure	NOUN
ap-6754	139	23	in	in	ADP
ap-6754	139	24	the	the	DET
ap-6754	139	25	thermal	thermal	ADJ
ap-6754	139	26	environment	environment	NOUN
ap-6754	139	27	are	be	AUX
ap-6754	139	28	presented	present	VERB
ap-6754	139	29	.	.	PUNCT
ap-6754	140	1	unless	unless	SCONJ
ap-6754	140	2	specified	specify	VERB
ap-6754	140	3	otherwise	otherwise	ADV
ap-6754	140	4	,	,	PUNCT
ap-6754	140	5	the	the	DET
ap-6754	140	6	shear	shear	NOUN
ap-6754	140	7	correction	correction	NOUN
ap-6754	140	8	factors	factor	NOUN
ap-6754	140	9	are	be	AUX
ap-6754	140	10	equal	equal	ADJ
ap-6754	140	11	to	to	ADP
ap-6754	140	12	5/6	5/6	NUM
ap-6754	140	13	.	.	PUNCT
ap-6754	141	1	table	table	NOUN
ap-6754	141	2	.	.	PUNCT
ap-6754	142	1	1	1	NUM
ap-6754	142	2	gives	give	VERB
ap-6754	142	3	the	the	DET
ap-6754	142	4	different	different	ADJ
ap-6754	142	5	material	material	NOUN
ap-6754	142	6	properties	property	NOUN
ap-6754	142	7	of	of	ADP
ap-6754	142	8	functionally	functionally	ADV
ap-6754	142	9	graded	grade	VERB
ap-6754	142	10	structures	structure	NOUN
ap-6754	142	11	made	make	VERB
ap-6754	142	12	of	of	ADP
ap-6754	142	13	the	the	DET
ap-6754	142	14	ceramic	ceramic	ADJ
ap-6754	142	15	(	(	PUNCT
ap-6754	142	16	al2o3	al2o3	PROPN
ap-6754	142	17	,	,	PUNCT
ap-6754	142	18	si3n4	si3n4	PROPN
ap-6754	142	19	,	,	PUNCT
ap-6754	142	20	zro2	zro2	PROPN
ap-6754	142	21	)	)	PUNCT
ap-6754	142	22	and	and	CCONJ
ap-6754	142	23	the	the	DET
ap-6754	142	24	metal	metal	NOUN
ap-6754	142	25	(	(	PUNCT
ap-6754	142	26	sus304	sus304	PROPN
ap-6754	142	27	)	)	PUNCT
ap-6754	142	28	as	as	SCONJ
ap-6754	142	29	written	write	VERB
ap-6754	142	30	in	in	ADP
ap-6754	142	31	[	[	X
ap-6754	142	32	1	1	NUM
ap-6754	142	33	,	,	PUNCT
ap-6754	142	34	3	3	NUM
ap-6754	142	35	]	]	PUNCT
ap-6754	142	36	.	.	PUNCT
ap-6754	143	1	3.1	3.1	NUM
ap-6754	143	2	.	.	PUNCT
ap-6754	144	1	bending	bend	VERB
ap-6754	144	2	analysis	analysis	NOUN
ap-6754	144	3	the	the	DET
ap-6754	144	4	author	author	NOUN
ap-6754	144	5	started	start	VERB
ap-6754	144	6	examining	examine	VERB
ap-6754	144	7	the	the	DET
ap-6754	144	8	accuracy	accuracy	NOUN
ap-6754	144	9	of	of	ADP
ap-6754	144	10	the	the	DET
ap-6754	144	11	proposed	propose	VERB
ap-6754	144	12	element	element	NOUN
ap-6754	144	13	by	by	ADP
ap-6754	144	14	comparing	compare	VERB
ap-6754	144	15	the	the	DET
ap-6754	144	16	achieved	achieve	VERB
ap-6754	144	17	results	result	NOUN
ap-6754	144	18	with	with	ADP
ap-6754	144	19	reference	reference	NOUN
ap-6754	144	20	solutions	solution	NOUN
ap-6754	144	21	related	relate	VERB
ap-6754	144	22	to	to	ADP
ap-6754	144	23	other	other	ADJ
ap-6754	144	24	approaches	approach	NOUN
ap-6754	144	25	available	available	ADJ
ap-6754	144	26	in	in	ADP
ap-6754	144	27	literature	literature	NOUN
ap-6754	144	28	.	.	PUNCT
ap-6754	145	1	a	a	PRON
ap-6754	145	2	fully	fully	ADV
ap-6754	145	3	simply	simply	ADV
ap-6754	145	4	supported	support	VERB
ap-6754	145	5	fg	fg	PROPN
ap-6754	145	6	plate	plate	NOUN
ap-6754	145	7	(	(	PUNCT
ap-6754	145	8	a	a	DET
ap-6754	145	9	/	/	SYM
ap-6754	145	10	b	b	NOUN
ap-6754	145	11	=	=	SYM
ap-6754	145	12	1	1	NUM
ap-6754	145	13	and	and	CCONJ
ap-6754	145	14	a	a	DET
ap-6754	145	15	/	/	SYM
ap-6754	145	16	h	h	NOUN
ap-6754	145	17	=	=	SYM
ap-6754	145	18	10	10	NUM
ap-6754	145	19	)	)	PUNCT
ap-6754	145	20	made	make	VERB
ap-6754	145	21	of	of	ADP
ap-6754	145	22	al	al	PROPN
ap-6754	145	23	/	/	SYM
ap-6754	145	24	al2o3	al2o3	PROPN
ap-6754	145	25	subjected	subject	VERB
ap-6754	145	26	to	to	ADP
ap-6754	145	27	a	a	DET
ap-6754	145	28	uniform	uniform	ADJ
ap-6754	145	29	load	load	NOUN
ap-6754	145	30	q	q	PUNCT
ap-6754	145	31	is	be	AUX
ap-6754	145	32	considered	consider	VERB
ap-6754	145	33	.	.	PUNCT
ap-6754	146	1	the	the	DET
ap-6754	146	2	material	material	NOUN
ap-6754	146	3	properties	property	NOUN
ap-6754	146	4	em	em	PRON
ap-6754	146	5	=	=	SYM
ap-6754	146	6	70gpa	70gpa	PROPN
ap-6754	146	7	,	,	PUNCT
ap-6754	146	8	ec	ec	PROPN
ap-6754	146	9	=	=	SYM
ap-6754	146	10	380gpa	380gpa	PROPN
ap-6754	146	11	,	,	PUNCT
ap-6754	146	12	νm	νm	NOUN
ap-6754	146	13	=	=	SYM
ap-6754	146	14	νc	νc	X
ap-6754	146	15	=	=	SYM
ap-6754	146	16	0.3	0.3	NUM
ap-6754	146	17	are	be	AUX
ap-6754	146	18	used	use	VERB
ap-6754	146	19	and	and	CCONJ
ap-6754	146	20	the	the	DET
ap-6754	146	21	maximum	maximum	ADJ
ap-6754	146	22	central	central	ADJ
ap-6754	146	23	deflection	deflection	NOUN
ap-6754	146	24	is	be	AUX
ap-6754	146	25	normalized	normalize	VERB
ap-6754	146	26	by	by	ADP
ap-6754	146	27	w	w	PROPN
ap-6754	146	28	=	=	PUNCT
ap-6754	146	29	[	[	X
ap-6754	146	30	10h3ecw(a/2	10h3ecw(a/2	NUM
ap-6754	146	31	,	,	PUNCT
ap-6754	146	32	b/2)]/qa4	b/2)]/qa4	PROPN
ap-6754	146	33	.	.	PUNCT
ap-6754	147	1	the	the	DET
ap-6754	147	2	comparisons	comparison	NOUN
ap-6754	147	3	of	of	ADP
ap-6754	147	4	between	between	ADP
ap-6754	147	5	the	the	DET
ap-6754	147	6	proposed	propose	VERB
ap-6754	147	7	method	method	NOUN
ap-6754	147	8	and	and	CCONJ
ap-6754	147	9	others	other	NOUN
ap-6754	147	10	,	,	PUNCT
ap-6754	147	11	such	such	ADJ
ap-6754	147	12	as	as	ADP
ap-6754	147	13	reddy	reddy	PROPN
ap-6754	147	14	’s	’s	PART
ap-6754	147	15	theory	theory	NOUN
ap-6754	147	16	(	(	PUNCT
ap-6754	147	17	rt	rt	PROPN
ap-6754	147	18	)	)	PUNCT
ap-6754	148	1	[	[	X
ap-6754	148	2	33	33	NUM
ap-6754	148	3	]	]	PUNCT
ap-6754	148	4	,	,	PUNCT
ap-6754	148	5	the	the	DET
ap-6754	148	6	sinusoidal	sinusoidal	ADJ
ap-6754	148	7	shear	shear	NOUN
ap-6754	148	8	deformation	deformation	NOUN
ap-6754	148	9	theory	theory	NOUN
ap-6754	148	10	(	(	PUNCT
ap-6754	148	11	ssdt	ssdt	NOUN
ap-6754	148	12	)	)	PUNCT
ap-6754	149	1	[	[	X
ap-6754	149	2	34	34	NUM
ap-6754	149	3	]	]	PUNCT
ap-6754	149	4	,	,	PUNCT
ap-6754	149	5	the	the	DET
ap-6754	149	6	hyperbolic	hyperbolic	ADJ
ap-6754	149	7	shear	shear	NOUN
ap-6754	149	8	deformation	deformation	NOUN
ap-6754	149	9	theory	theory	NOUN
ap-6754	149	10	(	(	PUNCT
ap-6754	149	11	hysdt	hysdt	NOUN
ap-6754	149	12	)	)	PUNCT
ap-6754	149	13	and	and	CCONJ
ap-6754	149	14	shi	shi	PROPN
ap-6754	149	15	’s	’s	PART
ap-6754	149	16	theory	theory	NOUN
ap-6754	149	17	(	(	PUNCT
ap-6754	149	18	st	st	PROPN
ap-6754	149	19	)	)	PUNCT
ap-6754	150	1	[	[	X
ap-6754	150	2	5	5	NUM
ap-6754	150	3	]	]	PUNCT
ap-6754	150	4	are	be	AUX
ap-6754	150	5	presented	present	VERB
ap-6754	150	6	in	in	ADP
ap-6754	150	7	table	table	NOUN
ap-6754	150	8	2	2	NUM
ap-6754	150	9	for	for	ADP
ap-6754	150	10	different	different	ADJ
ap-6754	150	11	values	value	NOUN
ap-6754	150	12	of	of	ADP
ap-6754	150	13	n.	n.	NOUN
ap-6754	150	14	the	the	DET
ap-6754	150	15	results	result	NOUN
ap-6754	150	16	of	of	ADP
ap-6754	150	17	this	this	DET
ap-6754	150	18	paper	paper	NOUN
ap-6754	150	19	show	show	VERB
ap-6754	150	20	a	a	DET
ap-6754	150	21	good	good	ADJ
ap-6754	150	22	agreement	agreement	NOUN
ap-6754	150	23	with	with	ADP
ap-6754	150	24	other	other	ADJ
ap-6754	150	25	reference	reference	NOUN
ap-6754	150	26	solutions	solution	NOUN
ap-6754	150	27	as	as	SCONJ
ap-6754	150	28	depicted	depict	VERB
ap-6754	150	29	in	in	ADP
ap-6754	150	30	figure	figure	NOUN
ap-6754	150	31	4a	4a	NOUN
ap-6754	150	32	.	.	PUNCT
ap-6754	151	1	however	however	ADV
ap-6754	151	2	,	,	PUNCT
ap-6754	151	3	as	as	SCONJ
ap-6754	151	4	the	the	DET
ap-6754	151	5	functionally	functionally	ADV
ap-6754	151	6	graded	grade	VERB
ap-6754	151	7	plates	plate	NOUN
ap-6754	151	8	become	become	VERB
ap-6754	151	9	more	more	ADV
ap-6754	151	10	and	and	CCONJ
ap-6754	151	11	more	more	ADV
ap-6754	151	12	metallic	metallic	ADJ
ap-6754	151	13	,	,	PUNCT
ap-6754	151	14	larger	large	ADJ
ap-6754	151	15	deflections	deflection	NOUN
ap-6754	151	16	are	be	AUX
ap-6754	151	17	obtained	obtain	VERB
ap-6754	151	18	as	as	ADP
ap-6754	151	19	compared	compare	VERB
ap-6754	151	20	to	to	ADP
ap-6754	151	21	those	those	PRON
ap-6754	151	22	more	more	ADJ
ap-6754	151	23	and	and	CCONJ
ap-6754	151	24	more	more	ADV
ap-6754	151	25	ceramic	ceramic	ADJ
ap-6754	151	26	.	.	PUNCT
ap-6754	152	1	by	by	ADP
ap-6754	152	2	considering	consider	VERB
ap-6754	152	3	the	the	DET
ap-6754	152	4	accuracy	accuracy	NOUN
ap-6754	152	5	of	of	ADP
ap-6754	152	6	the	the	DET
ap-6754	152	7	proposed	propose	VERB
ap-6754	152	8	element	element	NOUN
ap-6754	152	9	to	to	PART
ap-6754	152	10	analyse	analyse	VERB
ap-6754	152	11	the	the	DET
ap-6754	152	12	functionally	functionally	ADV
ap-6754	152	13	graded	grade	VERB
ap-6754	152	14	plates	plate	NOUN
ap-6754	152	15	under	under	ADP
ap-6754	152	16	a	a	DET
ap-6754	152	17	temperature	temperature	NOUN
ap-6754	152	18	environment	environment	NOUN
ap-6754	152	19	,	,	PUNCT
ap-6754	152	20	the	the	DET
ap-6754	152	21	temperature	temperature	NOUN
ap-6754	152	22	is	be	AUX
ap-6754	152	23	set	set	VERB
ap-6754	152	24	to	to	PART
ap-6754	152	25	be	be	AUX
ap-6754	152	26	t	t	NOUN
ap-6754	152	27	=	=	SYM
ap-6754	152	28	300k	300k	PROPN
ap-6754	152	29	(	(	PUNCT
ap-6754	152	30	∆t	∆t	PROPN
ap-6754	152	31	=	=	SYM
ap-6754	152	32	0	0	NUM
ap-6754	152	33	)	)	PUNCT
ap-6754	152	34	and	and	CCONJ
ap-6754	152	35	the	the	DET
ap-6754	152	36	same	same	ADJ
ap-6754	152	37	plate	plate	NOUN
ap-6754	152	38	as	as	SCONJ
ap-6754	152	39	the	the	DET
ap-6754	152	40	previous	previous	ADJ
ap-6754	152	41	example	example	NOUN
ap-6754	152	42	is	be	AUX
ap-6754	152	43	also	also	ADV
ap-6754	152	44	studied	study	VERB
ap-6754	152	45	,	,	PUNCT
ap-6754	152	46	but	but	CCONJ
ap-6754	152	47	now	now	ADV
ap-6754	152	48	it	it	PRON
ap-6754	152	49	is	be	AUX
ap-6754	152	50	made	make	VERB
ap-6754	152	51	of	of	ADP
ap-6754	152	52	si3n4	si3n4	PROPN
ap-6754	152	53	/	/	SYM
ap-6754	152	54	sus304	sus304	PROPN
ap-6754	152	55	.	.	PUNCT
ap-6754	153	1	the	the	DET
ap-6754	153	2	properties	property	NOUN
ap-6754	153	3	related	relate	VERB
ap-6754	153	4	to	to	ADP
ap-6754	153	5	this	this	DET
ap-6754	153	6	material	material	NOUN
ap-6754	153	7	can	can	AUX
ap-6754	153	8	be	be	AUX
ap-6754	153	9	seen	see	VERB
ap-6754	153	10	in	in	ADP
ap-6754	153	11	table	table	NOUN
ap-6754	153	12	1	1	NUM
ap-6754	153	13	.	.	PUNCT
ap-6754	154	1	the	the	DET
ap-6754	154	2	maximum	maximum	ADJ
ap-6754	154	3	central	central	ADJ
ap-6754	154	4	deflection	deflection	NOUN
ap-6754	154	5	is	be	AUX
ap-6754	154	6	then	then	ADV
ap-6754	154	7	normalized	normalize	VERB
ap-6754	154	8	by	by	ADP
ap-6754	154	9	w	w	PROPN
ap-6754	154	10	=	=	PUNCT
ap-6754	154	11	[	[	X
ap-6754	154	12	100h3emw(a/2	100h3emw(a/2	NUM
ap-6754	154	13	,	,	PUNCT
ap-6754	154	14	b/2)]/[12(1−	b/2)]/[12(1−	PROPN
ap-6754	154	15	ν2	ν2	PROPN
ap-6754	154	16	m)qa4	m)qa4	PROPN
ap-6754	154	17	]	]	PUNCT
ap-6754	154	18	and	and	CCONJ
ap-6754	154	19	compared	compare	VERB
ap-6754	154	20	with	with	ADP
ap-6754	154	21	the	the	DET
ap-6754	154	22	analytical	analytical	ADJ
ap-6754	154	23	solutions	solution	NOUN
ap-6754	154	24	given	give	VERB
ap-6754	154	25	by	by	ADP
ap-6754	154	26	[	[	X
ap-6754	154	27	1	1	NUM
ap-6754	154	28	]	]	PUNCT
ap-6754	154	29	.	.	PUNCT
ap-6754	155	1	with	with	ADP
ap-6754	155	2	each	each	DET
ap-6754	155	3	value	value	NOUN
ap-6754	155	4	of	of	ADP
ap-6754	155	5	n	n	CCONJ
ap-6754	155	6	,	,	PUNCT
ap-6754	155	7	a	a	DET
ap-6754	155	8	good	good	ADJ
ap-6754	155	9	agreement	agreement	NOUN
ap-6754	155	10	between	between	ADP
ap-6754	155	11	the	the	DET
ap-6754	155	12	two	two	NUM
ap-6754	155	13	results	result	NOUN
ap-6754	155	14	can	can	AUX
ap-6754	155	15	be	be	AUX
ap-6754	155	16	found	find	VERB
ap-6754	155	17	,	,	PUNCT
ap-6754	155	18	as	as	SCONJ
ap-6754	155	19	presented	present	VERB
ap-6754	155	20	in	in	ADP
ap-6754	155	21	table	table	NOUN
ap-6754	155	22	3	3	NUM
ap-6754	155	23	.	.	PUNCT
ap-6754	155	24	to	to	PART
ap-6754	155	25	additionally	additionally	ADV
ap-6754	155	26	explore	explore	VERB
ap-6754	155	27	the	the	DET
ap-6754	155	28	physical	physical	ADJ
ap-6754	155	29	behaviour	behaviour	NOUN
ap-6754	155	30	of	of	ADP
ap-6754	155	31	functionally	functionally	ADV
ap-6754	155	32	graded	grade	VERB
ap-6754	155	33	plates	plate	NOUN
ap-6754	155	34	,	,	PUNCT
ap-6754	155	35	the	the	DET
ap-6754	155	36	fully	fully	ADV
ap-6754	155	37	clamped	clamp	VERB
ap-6754	155	38	al2o3	al2o3	PROPN
ap-6754	155	39	/	/	SYM
ap-6754	155	40	sus304	sus304	PROPN
ap-6754	155	41	plate	plate	NOUN
ap-6754	155	42	with	with	ADP
ap-6754	155	43	n	n	NOUN
ap-6754	155	44	=	=	SYM
ap-6754	155	45	0.5	0.5	NUM
ap-6754	155	46	and	and	CCONJ
ap-6754	155	47	a	a	DET
ap-6754	155	48	/	/	SYM
ap-6754	155	49	b	b	NOUN
ap-6754	155	50	=	=	SYM
ap-6754	155	51	1	1	NUM
ap-6754	155	52	is	be	AUX
ap-6754	155	53	considered	consider	VERB
ap-6754	155	54	by	by	ADP
ap-6754	155	55	changing	change	VERB
ap-6754	155	56	the	the	DET
ap-6754	155	57	thickness	thickness	NOUN
ap-6754	155	58	(	(	PUNCT
ap-6754	155	59	a/5	a/5	NOUN
ap-6754	155	60	,	,	PUNCT
ap-6754	155	61	a/10	a/10	ADJ
ap-6754	155	62	,	,	PUNCT
ap-6754	155	63	a/20	a/20	PROPN
ap-6754	155	64	,	,	PUNCT
ap-6754	155	65	a/30	a/30	NOUN
ap-6754	155	66	&	&	CCONJ
ap-6754	155	67	a/50	a/50	PROPN
ap-6754	155	68	)	)	PUNCT
ap-6754	155	69	and	and	CCONJ
ap-6754	155	70	the	the	DET
ap-6754	155	71	temperature	temperature	NOUN
ap-6754	155	72	from	from	ADP
ap-6754	155	73	300k	300k	PROPN
ap-6754	155	74	to	to	ADP
ap-6754	155	75	1400k	1400k	NUM
ap-6754	155	76	.	.	PUNCT
ap-6754	156	1	the	the	DET
ap-6754	156	2	temperature	temperature	NOUN
ap-6754	156	3	-	-	PUNCT
ap-6754	156	4	deflection	deflection	NOUN
ap-6754	156	5	curves	curve	NOUN
ap-6754	156	6	are	be	AUX
ap-6754	156	7	plotted	plot	VERB
ap-6754	156	8	in	in	ADP
ap-6754	156	9	figure	figure	NOUN
ap-6754	156	10	4b	4b	PROPN
ap-6754	156	11	.	.	PUNCT
ap-6754	157	1	generally	generally	ADV
ap-6754	157	2	,	,	PUNCT
ap-6754	157	3	under	under	ADP
ap-6754	157	4	high	high	ADJ
ap-6754	157	5	temperature	temperature	NOUN
ap-6754	157	6	environments	environment	NOUN
ap-6754	157	7	,	,	PUNCT
ap-6754	157	8	it	it	PRON
ap-6754	157	9	clearly	clearly	ADV
ap-6754	157	10	indicates	indicate	VERB
ap-6754	157	11	a	a	DET
ap-6754	157	12	very	very	ADV
ap-6754	157	13	important	important	ADJ
ap-6754	157	14	effect	effect	NOUN
ap-6754	157	15	of	of	ADP
ap-6754	157	16	the	the	DET
ap-6754	157	17	material	material	NOUN
ap-6754	157	18	combinations	combination	NOUN
ap-6754	157	19	on	on	ADP
ap-6754	157	20	the	the	DET
ap-6754	157	21	overall	overall	ADJ
ap-6754	157	22	mechanical	mechanical	ADJ
ap-6754	157	23	behaviour	behaviour	NOUN
ap-6754	157	24	of	of	ADP
ap-6754	157	25	functionally	functionally	ADV
ap-6754	157	26	graded	grade	VERB
ap-6754	157	27	materials	material	NOUN
ap-6754	157	28	.	.	PUNCT
ap-6754	158	1	the	the	DET
ap-6754	158	2	numerical	numerical	ADJ
ap-6754	158	3	results	result	NOUN
ap-6754	158	4	obtained	obtain	VERB
ap-6754	158	5	are	be	AUX
ap-6754	158	6	very	very	ADV
ap-6754	158	7	interesting	interesting	ADJ
ap-6754	158	8	as	as	SCONJ
ap-6754	158	9	the	the	DET
ap-6754	158	10	thinner	thin	ADJ
ap-6754	158	11	plates	plate	NOUN
ap-6754	158	12	yield	yield	VERB
ap-6754	158	13	larger	large	ADJ
ap-6754	158	14	deflections	deflection	NOUN
ap-6754	158	15	than	than	ADP
ap-6754	158	16	the	the	DET
ap-6754	158	17	thicker	thick	ADJ
ap-6754	158	18	ones	one	NOUN
ap-6754	158	19	.	.	PUNCT
ap-6754	159	1	the	the	DET
ap-6754	159	2	mechanical	mechanical	ADJ
ap-6754	159	3	deflections	deflection	NOUN
ap-6754	159	4	of	of	ADP
ap-6754	159	5	all	all	DET
ap-6754	159	6	functionally	functionally	ADV
ap-6754	159	7	graded	grade	VERB
ap-6754	159	8	plates	plate	NOUN
ap-6754	159	9	increase	increase	VERB
ap-6754	159	10	for	for	ADP
ap-6754	159	11	the	the	DET
ap-6754	159	12	higher	high	ADJ
ap-6754	159	13	temperature	temperature	NOUN
ap-6754	159	14	range	range	NOUN
ap-6754	159	15	.	.	PUNCT
ap-6754	160	1	it	it	PRON
ap-6754	160	2	means	mean	VERB
ap-6754	160	3	that	that	SCONJ
ap-6754	160	4	when	when	SCONJ
ap-6754	160	5	the	the	DET
ap-6754	160	6	functionally	functionally	ADV
ap-6754	160	7	graded	grade	VERB
ap-6754	160	8	plates	plate	NOUN
ap-6754	160	9	are	be	AUX
ap-6754	160	10	subjected	subject	VERB
ap-6754	160	11	to	to	ADP
ap-6754	160	12	higher	high	ADJ
ap-6754	160	13	temperature	temperature	NOUN
ap-6754	160	14	environments	environment	NOUN
ap-6754	160	15	,	,	PUNCT
ap-6754	160	16	larger	large	ADJ
ap-6754	160	17	deflections	deflection	NOUN
ap-6754	160	18	for	for	ADP
ap-6754	160	19	all	all	PRON
ap-6754	160	20	considered	consider	VERB
ap-6754	160	21	functionally	functionally	ADV
ap-6754	160	22	graded	grade	VERB
ap-6754	160	23	plates	plate	NOUN
ap-6754	160	24	can	can	AUX
ap-6754	160	25	be	be	AUX
ap-6754	160	26	reached	reach	VERB
ap-6754	160	27	.	.	PUNCT
ap-6754	161	1	533	533	NUM
ap-6754	161	2	hoang	hoang	PROPN
ap-6754	161	3	lan	lan	PROPN
ap-6754	161	4	ton	ton	PROPN
ap-6754	161	5	-	-	PROPN
ap-6754	161	6	that	that	SCONJ
ap-6754	161	7	acta	acta	PROPN
ap-6754	161	8	polytechnica	polytechnica	PROPN
ap-6754	161	9	ceramic	ceramic	PROPN
ap-6754	161	10	p	p	PROPN
ap-6754	161	11	(	(	PUNCT
ap-6754	161	12	300k	300k	PROPN
ap-6754	161	13	)	)	PUNCT
ap-6754	161	14	p0	p0	NOUN
ap-6754	161	15	p−1	p−1	PROPN
ap-6754	161	16	p1	p1	PROPN
ap-6754	161	17	p2	p2	PROPN
ap-6754	161	18	p3	p3	PROPN
ap-6754	161	19	al2o3	al2o3	PROPN
ap-6754	161	20	e	e	PROPN
ap-6754	161	21	(	(	PUNCT
ap-6754	161	22	pa	pa	PROPN
ap-6754	161	23	)	)	PUNCT
ap-6754	161	24	320.24e9	320.24e9	NUM
ap-6754	161	25	349.55e9	349.55e9	NUM
ap-6754	161	26	0	0	NUM
ap-6754	161	27	-3.853e-4	-3.853e-4	NOUN
ap-6754	161	28	4.027e-7	4.027e-7	NUM
ap-6754	161	29	-1.673e-10	-1.673e-10	INTJ
ap-6754	161	30	α	α	NOUN
ap-6754	161	31	(	(	PUNCT
ap-6754	161	32	1	1	NUM
ap-6754	161	33	/	/	SYM
ap-6754	161	34	k	k	NOUN
ap-6754	161	35	)	)	PUNCT
ap-6754	161	36	7.203e-6	7.203e-6	PROPN
ap-6754	161	37	6.8269e-6	6.8269e-6	NUM
ap-6754	161	38	0	0	NUM
ap-6754	161	39	1.838e-4	1.838e-4	NUM
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ap-6754	161	41	0	0	NUM
ap-6754	161	42	ν	ν	NOUN
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ap-6754	161	47	0	0	NUM
ap-6754	161	48	0	0	NUM
ap-6754	161	49	ρ	ρ	PROPN
ap-6754	161	50	(	(	PUNCT
ap-6754	161	51	kg	kg	PROPN
ap-6754	161	52	/	/	SYM
ap-6754	161	53	m3	m3	PROPN
ap-6754	161	54	)	)	PUNCT
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ap-6754	161	56	3800	3800	NUM
ap-6754	161	57	0	0	NUM
ap-6754	161	58	0	0	NUM
ap-6754	161	59	0	0	NUM
ap-6754	161	60	0	0	NUM
ap-6754	162	1	si3n4	si3n4	PROPN
ap-6754	162	2	e	e	PROPN
ap-6754	162	3	(	(	PUNCT
ap-6754	162	4	pa	pa	PROPN
ap-6754	162	5	)	)	PUNCT
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ap-6754	162	7	348.43e9	348.43e9	NUM
ap-6754	162	8	0	0	NUM
ap-6754	162	9	-3.070e-4	-3.070e-4	NOUN
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ap-6754	162	11	-8.946e-11	-8.946e-11	INTJ
ap-6754	162	12	α	α	X
ap-6754	162	13	(	(	PUNCT
ap-6754	162	14	1	1	NUM
ap-6754	162	15	/	/	SYM
ap-6754	162	16	k	k	NOUN
ap-6754	162	17	)	)	PUNCT
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ap-6754	163	2	5.8723e-6	5.8723e-6	NUM
ap-6754	163	3	0	0	NUM
ap-6754	163	4	9.095e-4	9.095e-4	NUM
ap-6754	163	5	0	0	NUM
ap-6754	163	6	0	0	NUM
ap-6754	163	7	ν	ν	NOUN
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ap-6754	163	9	0.24	0.24	NUM
ap-6754	163	10	0	0	NUM
ap-6754	163	11	0	0	NUM
ap-6754	163	12	0	0	NUM
ap-6754	163	13	0	0	NUM
ap-6754	163	14	ρ	ρ	PROPN
ap-6754	163	15	(	(	PUNCT
ap-6754	163	16	kg	kg	PROPN
ap-6754	163	17	/	/	SYM
ap-6754	163	18	m3	m3	PROPN
ap-6754	163	19	)	)	PUNCT
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ap-6754	163	21	2370	2370	NUM
ap-6754	163	22	0	0	SYM
ap-6754	163	23	0	0	NUM
ap-6754	163	24	0	0	NUM
ap-6754	163	25	0	0	NUM
ap-6754	163	26	zro2	zro2	PROPN
ap-6754	163	27	e	e	X
ap-6754	163	28	(	(	PUNCT
ap-6754	163	29	pa	pa	PROPN
ap-6754	163	30	)	)	PUNCT
ap-6754	163	31	168.06e9	168.06e9	NUM
ap-6754	164	1	244.27e9	244.27e9	NUM
ap-6754	164	2	0	0	NUM
ap-6754	164	3	-1.371e-3	-1.371e-3	PROPN
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ap-6754	164	5	-3.681e-10	-3.681e-10	PRON
ap-6754	164	6	α	α	PROPN
ap-6754	164	7	(	(	PUNCT
ap-6754	164	8	1	1	NUM
ap-6754	164	9	/	/	SYM
ap-6754	164	10	k	k	NOUN
ap-6754	164	11	)	)	PUNCT
ap-6754	164	12	18.591e-6	18.591e-6	NUM
ap-6754	164	13	12.766e-6	12.766e-6	NUM
ap-6754	164	14	0	0	NUM
ap-6754	164	15	-1.491e-3	-1.491e-3	PUNCT
ap-6754	164	16	1.006e-5	1.006e-5	NUM
ap-6754	164	17	-6.778e-11	-6.778e-11	PUNCT
ap-6754	164	18	ν	ν	NOUN
ap-6754	164	19	0.298	0.298	NUM
ap-6754	164	20	0.288	0.288	NUM
ap-6754	164	21	0	0	NUM
ap-6754	164	22	1.133e-4	1.133e-4	NUM
ap-6754	164	23	0	0	NUM
ap-6754	164	24	ρ	ρ	PROPN
ap-6754	164	25	(	(	PUNCT
ap-6754	164	26	kg	kg	PROPN
ap-6754	164	27	/	/	SYM
ap-6754	164	28	m3	m3	PROPN
ap-6754	164	29	)	)	PUNCT
ap-6754	164	30	3657	3657	NUM
ap-6754	164	31	3657	3657	NUM
ap-6754	164	32	0	0	SYM
ap-6754	164	33	0	0	SYM
ap-6754	164	34	0	0	NUM
ap-6754	164	35	metal	metal	NOUN
ap-6754	164	36	p	p	NOUN
ap-6754	164	37	(	(	PUNCT
ap-6754	164	38	300k	300k	PROPN
ap-6754	164	39	)	)	PUNCT
ap-6754	164	40	p0	p0	NOUN
ap-6754	164	41	p−1	p−1	PROPN
ap-6754	164	42	p1	p1	PROPN
ap-6754	164	43	p2	p2	PROPN
ap-6754	164	44	p3	p3	PROPN
ap-6754	164	45	sus304	sus304	PROPN
ap-6754	164	46	e	e	PROPN
ap-6754	164	47	(	(	PUNCT
ap-6754	164	48	pa	pa	PROPN
ap-6754	164	49	)	)	PUNCT
ap-6754	164	50	207.79e9	207.79e9	NUM
ap-6754	164	51	201.04e9	201.04e9	NUM
ap-6754	164	52	0	0	NUM
ap-6754	164	53	3.079e-4	3.079e-4	NUM
ap-6754	165	1	-6.534e-7	-6.534e-7	SYM
ap-6754	165	2	0	0	NUM
ap-6754	165	3	α	α	NOUN
ap-6754	165	4	(	(	PUNCT
ap-6754	165	5	1	1	NUM
ap-6754	165	6	/	/	SYM
ap-6754	165	7	k	k	NOUN
ap-6754	165	8	)	)	PUNCT
ap-6754	165	9	15.321e-6	15.321e-6	NUM
ap-6754	166	1	12.330e-6	12.330e-6	NUM
ap-6754	166	2	0	0	NUM
ap-6754	166	3	8.086e-4	8.086e-4	NUM
ap-6754	166	4	0	0	NUM
ap-6754	166	5	0	0	NUM
ap-6754	166	6	ν	ν	NOUN
ap-6754	166	7	0.318	0.318	NUM
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ap-6754	166	9	0	0	NUM
ap-6754	166	10	-2.002e-4	-2.002e-4	NOUN
ap-6754	167	1	3.797e-7	3.797e-7	NUM
ap-6754	167	2	0	0	NUM
ap-6754	167	3	ρ	ρ	PROPN
ap-6754	167	4	(	(	PUNCT
ap-6754	167	5	kg	kg	PROPN
ap-6754	167	6	/	/	SYM
ap-6754	167	7	m3	m3	PROPN
ap-6754	167	8	)	)	PUNCT
ap-6754	167	9	8166	8166	NUM
ap-6754	167	10	8166	8166	NUM
ap-6754	167	11	0	0	NUM
ap-6754	167	12	0	0	NUM
ap-6754	167	13	0	0	NUM
ap-6754	167	14	0	0	NUM
ap-6754	167	15	table	table	NOUN
ap-6754	167	16	1	1	NUM
ap-6754	167	17	.	.	PUNCT
ap-6754	168	1	temperature	temperature	NOUN
ap-6754	168	2	dependent	dependent	ADJ
ap-6754	168	3	coefficient	coefficient	NOUN
ap-6754	168	4	of	of	ADP
ap-6754	168	5	young	young	PROPN
ap-6754	168	6	’s	’s	PART
ap-6754	168	7	modulus	modulus	ADJ
ap-6754	168	8	e	e	NOUN
ap-6754	168	9	(	(	PUNCT
ap-6754	168	10	pa	pa	PROPN
ap-6754	168	11	)	)	PUNCT
ap-6754	168	12	,	,	PUNCT
ap-6754	168	13	thermal	thermal	ADJ
ap-6754	168	14	expansion	expansion	NOUN
ap-6754	168	15	coefficient	coefficient	NOUN
ap-6754	168	16	α	α	X
ap-6754	168	17	(	(	PUNCT
ap-6754	168	18	1	1	NUM
ap-6754	168	19	/	/	SYM
ap-6754	168	20	k	k	NOUN
ap-6754	168	21	)	)	PUNCT
ap-6754	168	22	,	,	PUNCT
ap-6754	168	23	poisson	poisson	PROPN
ap-6754	168	24	’s	’s	PART
ap-6754	168	25	ratio	ratio	NOUN
ap-6754	168	26	ν	ν	PROPN
ap-6754	168	27	,	,	PUNCT
ap-6754	168	28	mass	mass	ADJ
ap-6754	168	29	density	density	NOUN
ap-6754	168	30	ρ	ρ	PROPN
ap-6754	168	31	(	(	PUNCT
ap-6754	168	32	kg	kg	PROPN
ap-6754	168	33	/	/	SYM
ap-6754	168	34	m3	m3	PROPN
ap-6754	168	35	)	)	PUNCT
ap-6754	168	36	for	for	ADP
ap-6754	168	37	various	various	ADJ
ap-6754	168	38	materials	material	NOUN
ap-6754	168	39	.	.	PUNCT
ap-6754	169	1	n	n	PRON
ap-6754	169	2	results	result	VERB
ap-6754	169	3	rt	rt	PROPN
ap-6754	169	4	ssdt	ssdt	PROPN
ap-6754	169	5	hysdt	hysdt	PROPN
ap-6754	169	6	st	st	PROPN
ap-6754	169	7	present	present	PROPN
ap-6754	169	8	ssss	ssss	NOUN
ap-6754	169	9	ceramic	ceramic	NOUN
ap-6754	169	10	0.4665	0.4665	NUM
ap-6754	169	11	0.4665	0.4665	NUM
ap-6754	169	12	0.4665	0.4665	NUM
ap-6754	169	13	0.4630	0.4630	NUM
ap-6754	170	1	0.4673	0.4673	NUM
ap-6754	170	2	1	1	NUM
ap-6754	170	3	0.9421	0.9421	NUM
ap-6754	170	4	0.9287	0.9287	NUM
ap-6754	170	5	0.9421	0.9421	NUM
ap-6754	170	6	0.9130	0.9130	NUM
ap-6754	170	7	0.9304	0.9304	NUM
ap-6754	170	8	2	2	NUM
ap-6754	170	9	1.2227	1.2227	NUM
ap-6754	170	10	1.1940	1.1940	NUM
ap-6754	170	11	1.2228	1.2228	NUM
ap-6754	170	12	1.2069	1.2069	NUM
ap-6754	170	13	1.1929	1.1929	NUM
ap-6754	170	14	3	3	NUM
ap-6754	170	15	1.3530	1.3530	NUM
ap-6754	170	16	1.3200	1.3200	NUM
ap-6754	170	17	1.3533	1.3533	NUM
ap-6754	170	18	1.3596	1.3596	NUM
ap-6754	170	19	1.3144	1.3144	NUM
ap-6754	170	20	5	5	NUM
ap-6754	170	21	1.4646	1.4646	NUM
ap-6754	170	22	1.4356	1.4356	NUM
ap-6754	170	23	1.4653	1.4653	NUM
ap-6754	170	24	1.4874	1.4874	NUM
ap-6754	170	25	1.4225	1.4225	NUM
ap-6754	170	26	10	10	NUM
ap-6754	170	27	1.6054	1.6054	NUM
ap-6754	170	28	1.5876	1.5876	NUM
ap-6754	170	29	1.6057	1.6057	NUM
ap-6754	170	30	1.6308	1.6308	NUM
ap-6754	170	31	1.5716	1.5716	NUM
ap-6754	170	32	metal	metal	NOUN
ap-6754	170	33	2.5328	2.5328	NUM
ap-6754	170	34	2.5327	2.5327	NUM
ap-6754	170	35	2.5327	2.5327	NUM
ap-6754	170	36	2.5120	2.5120	NUM
ap-6754	170	37	2.5351	2.5351	NUM
ap-6754	170	38	table	table	NOUN
ap-6754	170	39	2	2	NUM
ap-6754	170	40	.	.	PUNCT
ap-6754	170	41	comparison	comparison	NOUN
ap-6754	170	42	of	of	ADP
ap-6754	170	43	the	the	DET
ap-6754	170	44	dimensionless	dimensionless	NOUN
ap-6754	170	45	deflections	deflection	NOUN
ap-6754	170	46	of	of	ADP
ap-6754	170	47	a	a	DET
ap-6754	170	48	functionally	functionally	ADV
ap-6754	170	49	graded	grade	VERB
ap-6754	170	50	al	al	PROPN
ap-6754	170	51	/	/	SYM
ap-6754	170	52	al2o3	al2o3	PROPN
ap-6754	170	53	plate	plate	NOUN
ap-6754	170	54	(	(	PUNCT
ap-6754	170	55	a	a	PROPN
ap-6754	170	56	/	/	SYM
ap-6754	170	57	b	b	NOUN
ap-6754	170	58	=	=	SYM
ap-6754	170	59	1	1	NUM
ap-6754	170	60	,	,	PUNCT
ap-6754	170	61	a	a	DET
ap-6754	170	62	/	/	SYM
ap-6754	170	63	h	h	NOUN
ap-6754	170	64	=	=	NOUN
ap-6754	170	65	10	10	NUM
ap-6754	170	66	)	)	PUNCT
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ap-6754	170	68	different	different	ADJ
ap-6754	170	69	values	value	NOUN
ap-6754	170	70	of	of	ADP
ap-6754	170	71	volume	volume	NOUN
ap-6754	170	72	fraction	fraction	NOUN
ap-6754	170	73	exponent	exponent	PROPN
ap-6754	170	74	n.	n.	PROPN
ap-6754	170	75	method	method	PROPN
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ap-6754	170	77	=	=	SYM
ap-6754	170	78	0.5	0.5	NUM
ap-6754	170	79	n	n	NOUN
ap-6754	170	80	=	=	SYM
ap-6754	170	81	1	1	NUM
ap-6754	170	82	n	n	NOUN
ap-6754	170	83	=	=	SYM
ap-6754	170	84	5	5	NUM
ap-6754	170	85	n	n	NOUN
ap-6754	170	86	=	=	SYM
ap-6754	170	87	10	10	NUM
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ap-6754	170	91	on	on	ADP
ap-6754	170	92	hsdt	hsdt	NOUN
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ap-6754	170	94	0.3430	0.3430	NUM
ap-6754	170	95	0.3800	0.3800	NUM
ap-6754	170	96	0.3960	0.3960	NUM
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ap-6754	170	99	0.3553	0.3553	NUM
ap-6754	170	100	0.3905	0.3905	NUM
ap-6754	170	101	0.4056	0.4056	NUM
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ap-6754	170	103	3	3	NUM
ap-6754	170	104	.	.	PUNCT
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ap-6754	170	106	of	of	ADP
ap-6754	170	107	the	the	DET
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ap-6754	170	109	deflections	deflection	NOUN
ap-6754	170	110	of	of	ADP
ap-6754	170	111	a	a	DET
ap-6754	170	112	functionally	functionally	ADV
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ap-6754	170	120	/	/	SYM
ap-6754	170	121	b	b	NOUN
ap-6754	170	122	=	=	SYM
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ap-6754	170	127	h	h	NOUN
ap-6754	170	128	=	=	NOUN
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ap-6754	170	130	)	)	PUNCT
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ap-6754	170	133	values	value	NOUN
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ap-6754	170	138	n	n	X
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ap-6754	170	142	.	.	PUNCT
ap-6754	171	1	534	534	NUM
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ap-6754	173	5	element	element	NOUN
ap-6754	173	6	to	to	ADP
ap-6754	173	7	functionally	functionally	ADV
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ap-6754	173	10	.	.	PUNCT
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ap-6754	174	1	(	(	PUNCT
ap-6754	174	2	a	a	X
ap-6754	174	3	)	)	PUNCT
ap-6754	174	4	.	.	PUNCT
ap-6754	175	1	(	(	PUNCT
ap-6754	175	2	b	b	X
ap-6754	175	3	)	)	PUNCT
ap-6754	175	4	.	.	PUNCT
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ap-6754	176	2	4	4	NUM
ap-6754	176	3	.	.	PUNCT
ap-6754	177	1	(	(	PUNCT
ap-6754	177	2	a	a	X
ap-6754	177	3	)	)	PUNCT
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ap-6754	177	8	for	for	ADP
ap-6754	177	9	a	a	DET
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ap-6754	177	11	simply	simply	ADV
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ap-6754	177	13	functionally	functionally	ADV
ap-6754	177	14	graded	grade	VERB
ap-6754	177	15	al	al	PROPN
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ap-6754	177	17	al2o3	al2o3	PROPN
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ap-6754	177	21	/	/	SYM
ap-6754	177	22	b	b	NOUN
ap-6754	177	23	=	=	SYM
ap-6754	177	24	1	1	NUM
ap-6754	177	25	,	,	PUNCT
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ap-6754	177	27	/	/	SYM
ap-6754	177	28	h	h	NOUN
ap-6754	177	29	=	=	NOUN
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ap-6754	177	31	)	)	PUNCT
ap-6754	177	32	,	,	PUNCT
ap-6754	177	33	(	(	PUNCT
ap-6754	177	34	b	b	X
ap-6754	177	35	)	)	PUNCT
ap-6754	177	36	temperature	temperature	NOUN
ap-6754	177	37	-	-	PUNCT
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ap-6754	177	41	a	a	DET
ap-6754	177	42	fully	fully	ADV
ap-6754	177	43	clamped	clamp	VERB
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ap-6754	177	45	graded	grade	VERB
ap-6754	177	46	al2o3	al2o3	PROPN
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ap-6754	177	51	a	a	PRON
ap-6754	177	52	/	/	SYM
ap-6754	177	53	b	b	NOUN
ap-6754	177	54	=	=	SYM
ap-6754	177	55	1	1	NUM
ap-6754	177	56	,	,	PUNCT
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ap-6754	177	58	=	=	NUM
ap-6754	177	59	0.5	0.5	NUM
ap-6754	177	60	)	)	PUNCT
ap-6754	177	61	.	.	PUNCT
ap-6754	178	1	figure	figure	NOUN
ap-6754	178	2	5	5	NUM
ap-6754	178	3	.	.	PUNCT
ap-6754	179	1	the	the	DET
ap-6754	179	2	geometry	geometry	NOUN
ap-6754	179	3	of	of	ADP
ap-6754	179	4	a	a	DET
ap-6754	179	5	fully	fully	ADV
ap-6754	179	6	simply	simply	ADV
ap-6754	179	7	supported	support	VERB
ap-6754	179	8	functionally	functionally	ADV
ap-6754	179	9	graded	grade	VERB
ap-6754	179	10	zro2	zro2	PROPN
ap-6754	179	11	/	/	SYM
ap-6754	179	12	al	al	PROPN
ap-6754	179	13	cylindrical	cylindrical	PROPN
ap-6754	179	14	panel	panel	NOUN
ap-6754	179	15	and	and	CCONJ
ap-6754	179	16	the	the	DET
ap-6754	179	17	central	central	ADJ
ap-6754	179	18	deflection	deflection	NOUN
ap-6754	179	19	of	of	ADP
ap-6754	179	20	the	the	DET
ap-6754	179	21	cylindrical	cylindrical	ADJ
ap-6754	179	22	panel	panel	NOUN
ap-6754	179	23	.	.	PUNCT
ap-6754	180	1	the	the	DET
ap-6754	180	2	last	last	ADJ
ap-6754	180	3	example	example	NOUN
ap-6754	180	4	in	in	ADP
ap-6754	180	5	this	this	DET
ap-6754	180	6	section	section	NOUN
ap-6754	180	7	is	be	AUX
ap-6754	180	8	given	give	VERB
ap-6754	180	9	with	with	ADP
ap-6754	180	10	a	a	DET
ap-6754	180	11	fully	fully	ADV
ap-6754	180	12	simply	simply	ADV
ap-6754	180	13	supported	support	VERB
ap-6754	180	14	zro2	zro2	PROPN
ap-6754	180	15	/	/	SYM
ap-6754	180	16	al	al	PROPN
ap-6754	180	17	cylindrical	cylindrical	PROPN
ap-6754	180	18	panel	panel	NOUN
ap-6754	180	19	subjected	subject	VERB
ap-6754	180	20	to	to	ADP
ap-6754	180	21	a	a	DET
ap-6754	180	22	uniform	uniform	ADJ
ap-6754	180	23	load	load	NOUN
ap-6754	180	24	q	q	NOUN
ap-6754	181	1	=	=	SYM
ap-6754	181	2	106	106	NUM
ap-6754	181	3	n	n	CCONJ
ap-6754	181	4	/	/	SYM
ap-6754	181	5	m2	m2	PROPN
ap-6754	181	6	as	as	SCONJ
ap-6754	181	7	depicted	depict	VERB
ap-6754	181	8	in	in	ADP
ap-6754	181	9	figure	figure	NOUN
ap-6754	181	10	5	5	NUM
ap-6754	181	11	.	.	PUNCT
ap-6754	182	1	the	the	DET
ap-6754	182	2	material	material	NOUN
ap-6754	182	3	properties	property	NOUN
ap-6754	182	4	are	be	AUX
ap-6754	182	5	also	also	ADV
ap-6754	182	6	given	give	VERB
ap-6754	182	7	as	as	ADP
ap-6754	182	8	em	em	PRON
ap-6754	182	9	=	=	SYM
ap-6754	182	10	70gpa	70gpa	PROPN
ap-6754	182	11	,	,	PUNCT
ap-6754	182	12	ec	ec	PROPN
ap-6754	182	13	=	=	SYM
ap-6754	182	14	151gpa	151gpa	NUM
ap-6754	182	15	,	,	PUNCT
ap-6754	182	16	νm	νm	NOUN
ap-6754	182	17	=	=	SYM
ap-6754	182	18	νc	νc	X
ap-6754	182	19	=	=	SYM
ap-6754	182	20	0.3	0.3	NUM
ap-6754	182	21	.	.	PUNCT
ap-6754	183	1	the	the	DET
ap-6754	183	2	geometric	geometric	ADJ
ap-6754	183	3	properties	property	NOUN
ap-6754	183	4	of	of	ADP
ap-6754	183	5	this	this	DET
ap-6754	183	6	structure	structure	NOUN
ap-6754	183	7	are	be	AUX
ap-6754	183	8	denoted	denote	VERB
ap-6754	183	9	by	by	ADP
ap-6754	183	10	l	l	NOUN
ap-6754	183	11	=	=	PUNCT
ap-6754	183	12	0.2	0.2	NUM
ap-6754	183	13	m	m	NOUN
ap-6754	183	14	,	,	PUNCT
ap-6754	184	1	r	r	NOUN
ap-6754	184	2	=	=	SYM
ap-6754	184	3	1	1	NUM
ap-6754	184	4	m	m	NOUN
ap-6754	184	5	,	,	PUNCT
ap-6754	184	6	and	and	CCONJ
ap-6754	184	7	ϕ	ϕ	X
ap-6754	184	8	=	=	SYM
ap-6754	184	9	0.2	0.2	NUM
ap-6754	184	10	rad	rad	NOUN
ap-6754	184	11	.	.	PUNCT
ap-6754	185	1	the	the	DET
ap-6754	185	2	dimensionless	dimensionless	ADJ
ap-6754	185	3	central	central	ADJ
ap-6754	185	4	deflection	deflection	NOUN
ap-6754	185	5	is	be	AUX
ap-6754	185	6	introduced	introduce	VERB
ap-6754	185	7	by	by	ADP
ap-6754	185	8	w	w	PROPN
ap-6754	185	9	=	=	PUNCT
ap-6754	185	10	wmax	wmax	ADJ
ap-6754	185	11	/	/	SYM
ap-6754	185	12	h	h	NOUN
ap-6754	185	13	and	and	CCONJ
ap-6754	185	14	the	the	DET
ap-6754	185	15	results	result	NOUN
ap-6754	185	16	of	of	ADP
ap-6754	185	17	this	this	DET
ap-6754	185	18	paper	paper	NOUN
ap-6754	185	19	are	be	AUX
ap-6754	185	20	compared	compare	VERB
ap-6754	185	21	with	with	ADP
ap-6754	185	22	the	the	DET
ap-6754	185	23	solutions	solution	NOUN
ap-6754	185	24	based	base	VERB
ap-6754	185	25	on	on	ADP
ap-6754	185	26	the	the	DET
ap-6754	185	27	element	element	NOUN
ap-6754	185	28	-	-	PUNCT
ap-6754	185	29	free	free	ADJ
ap-6754	185	30	kp	kp	PROPN
ap-6754	185	31	-	-	PROPN
ap-6754	185	32	ritz	ritz	PROPN
ap-6754	185	33	method	method	NOUN
ap-6754	185	34	of	of	ADP
ap-6754	185	35	[	[	X
ap-6754	185	36	35	35	NUM
ap-6754	185	37	]	]	PUNCT
ap-6754	185	38	.	.	PUNCT
ap-6754	186	1	table	table	NOUN
ap-6754	186	2	4	4	NUM
ap-6754	186	3	presents	present	VERB
ap-6754	186	4	the	the	DET
ap-6754	186	5	dimensionless	dimensionless	ADJ
ap-6754	186	6	central	central	ADJ
ap-6754	186	7	deflections	deflection	NOUN
ap-6754	186	8	with	with	ADP
ap-6754	186	9	respect	respect	NOUN
ap-6754	186	10	to	to	ADP
ap-6754	186	11	the	the	DET
ap-6754	186	12	changes	change	NOUN
ap-6754	186	13	of	of	ADP
ap-6754	186	14	ratio	ratio	NOUN
ap-6754	186	15	s	s	PART
ap-6754	186	16	=	=	ADJ
ap-6754	186	17	r	r	NOUN
ap-6754	186	18	/	/	SYM
ap-6754	186	19	h	h	NOUN
ap-6754	186	20	(	(	PUNCT
ap-6754	186	21	50	50	NUM
ap-6754	186	22	,	,	PUNCT
ap-6754	186	23	100	100	NUM
ap-6754	186	24	&	&	CCONJ
ap-6754	186	25	200	200	NUM
ap-6754	186	26	)	)	PUNCT
ap-6754	186	27	and	and	CCONJ
ap-6754	186	28	three	three	NUM
ap-6754	186	29	values	value	NOUN
ap-6754	186	30	of	of	ADP
ap-6754	186	31	n	n	PROPN
ap-6754	186	32	(	(	PUNCT
ap-6754	186	33	0.5	0.5	NUM
ap-6754	186	34	,	,	PUNCT
ap-6754	186	35	1	1	NUM
ap-6754	186	36	&	&	CCONJ
ap-6754	186	37	2	2	NUM
ap-6754	186	38	)	)	PUNCT
ap-6754	186	39	.	.	PUNCT
ap-6754	187	1	once	once	ADV
ap-6754	187	2	again	again	ADV
ap-6754	187	3	,	,	PUNCT
ap-6754	187	4	the	the	DET
ap-6754	187	5	accuracy	accuracy	NOUN
ap-6754	187	6	and	and	CCONJ
ap-6754	187	7	efficiency	efficiency	NOUN
ap-6754	187	8	of	of	ADP
ap-6754	187	9	the	the	DET
ap-6754	187	10	combined	combine	VERB
ap-6754	187	11	strain	strain	NOUN
ap-6754	187	12	element	element	NOUN
ap-6754	187	13	are	be	AUX
ap-6754	187	14	proved	prove	VERB
ap-6754	187	15	by	by	ADP
ap-6754	187	16	the	the	DET
ap-6754	187	17	very	very	ADV
ap-6754	187	18	small	small	ADJ
ap-6754	187	19	errors	error	NOUN
ap-6754	187	20	shown	show	VERB
ap-6754	187	21	in	in	ADP
ap-6754	187	22	table	table	NOUN
ap-6754	187	23	4	4	NUM
ap-6754	187	24	between	between	ADP
ap-6754	187	25	the	the	DET
ap-6754	187	26	results	result	NOUN
ap-6754	187	27	of	of	ADP
ap-6754	187	28	this	this	DET
ap-6754	187	29	element	element	NOUN
ap-6754	187	30	and	and	CCONJ
ap-6754	187	31	the	the	DET
ap-6754	187	32	results	result	NOUN
ap-6754	187	33	in	in	ADP
ap-6754	187	34	[	[	X
ap-6754	187	35	35	35	NUM
ap-6754	187	36	]	]	PUNCT
ap-6754	187	37	.	.	PUNCT
ap-6754	188	1	from	from	ADP
ap-6754	188	2	this	this	DET
ap-6754	188	3	section	section	NOUN
ap-6754	188	4	,	,	PUNCT
ap-6754	188	5	it	it	PRON
ap-6754	188	6	can	can	AUX
ap-6754	188	7	be	be	AUX
ap-6754	188	8	concluded	conclude	VERB
ap-6754	188	9	that	that	SCONJ
ap-6754	188	10	the	the	DET
ap-6754	188	11	mechanical	mechanical	ADJ
ap-6754	188	12	bending	bend	VERB
ap-6754	188	13	behaviour	behaviour	NOUN
ap-6754	188	14	of	of	ADP
ap-6754	188	15	the	the	DET
ap-6754	188	16	functionally	functionally	ADV
ap-6754	188	17	graded	grade	VERB
ap-6754	188	18	structures	structure	NOUN
ap-6754	188	19	is	be	AUX
ap-6754	188	20	material	material	NOUN
ap-6754	188	21	dependent	dependent	ADJ
ap-6754	188	22	,	,	PUNCT
ap-6754	188	23	mainly	mainly	ADV
ap-6754	188	24	caused	cause	VERB
ap-6754	188	25	by	by	ADP
ap-6754	188	26	the	the	DET
ap-6754	188	27	nonlinear	nonlinear	ADJ
ap-6754	188	28	thermal	thermal	ADJ
ap-6754	188	29	properties	property	NOUN
ap-6754	188	30	and	and	CCONJ
ap-6754	188	31	material	material	NOUN
ap-6754	188	32	behaviour	behaviour	NOUN
ap-6754	188	33	of	of	ADP
ap-6754	188	34	constituent	constituent	NOUN
ap-6754	188	35	materials	material	NOUN
ap-6754	188	36	.	.	PUNCT
ap-6754	189	1	in	in	ADP
ap-6754	189	2	other	other	ADJ
ap-6754	189	3	words	word	NOUN
ap-6754	189	4	,	,	PUNCT
ap-6754	189	5	not	not	PART
ap-6754	189	6	all	all	DET
ap-6754	189	7	the	the	DET
ap-6754	189	8	functionally	functionally	ADV
ap-6754	189	9	graded	grade	VERB
ap-6754	189	10	structures	structure	NOUN
ap-6754	189	11	in	in	ADP
ap-6754	189	12	a	a	DET
ap-6754	189	13	high	high	ADJ
ap-6754	189	14	temperature	temperature	NOUN
ap-6754	189	15	environment	environment	NOUN
ap-6754	189	16	act	act	NOUN
ap-6754	189	17	and	and	CCONJ
ap-6754	189	18	react	react	VERB
ap-6754	189	19	in	in	ADP
ap-6754	189	20	the	the	DET
ap-6754	189	21	same	same	ADJ
ap-6754	189	22	manner	manner	NOUN
ap-6754	189	23	,	,	PUNCT
ap-6754	189	24	they	they	PRON
ap-6754	189	25	,	,	PUNCT
ap-6754	189	26	as	as	SCONJ
ap-6754	189	27	observed	observe	VERB
ap-6754	189	28	numerically	numerically	ADV
ap-6754	189	29	,	,	PUNCT
ap-6754	189	30	behave	behave	VERB
ap-6754	189	31	differently	differently	ADV
ap-6754	189	32	from	from	ADP
ap-6754	189	33	each	each	DET
ap-6754	189	34	other	other	ADJ
ap-6754	189	35	.	.	PUNCT
ap-6754	190	1	therefore	therefore	ADV
ap-6754	190	2	,	,	PUNCT
ap-6754	190	3	material	material	NOUN
ap-6754	190	4	combinations	combination	NOUN
ap-6754	190	5	in	in	ADP
ap-6754	190	6	terms	term	NOUN
ap-6754	190	7	of	of	ADP
ap-6754	190	8	functionally	functionally	ADV
ap-6754	190	9	graded	grade	VERB
ap-6754	190	10	materials	material	NOUN
ap-6754	190	11	are	be	AUX
ap-6754	190	12	important	important	ADJ
ap-6754	190	13	and	and	CCONJ
ap-6754	190	14	greatly	greatly	ADV
ap-6754	190	15	affect	affect	VERB
ap-6754	190	16	the	the	DET
ap-6754	190	17	mechanical	mechanical	ADJ
ap-6754	190	18	static	static	ADJ
ap-6754	190	19	bending	bend	VERB
ap-6754	190	20	behaviour	behaviour	NOUN
ap-6754	190	21	of	of	ADP
ap-6754	190	22	resultant	resultant	NOUN
ap-6754	190	23	functionally	functionally	ADV
ap-6754	190	24	graded	grade	VERB
ap-6754	190	25	structures	structure	NOUN
ap-6754	190	26	and	and	CCONJ
ap-6754	190	27	their	their	PRON
ap-6754	190	28	performance	performance	NOUN
ap-6754	190	29	under	under	ADP
ap-6754	190	30	high	high	ADJ
ap-6754	190	31	temperature	temperature	NOUN
ap-6754	190	32	conditions	condition	NOUN
ap-6754	190	33	.	.	PUNCT
ap-6754	191	1	consequently	consequently	ADV
ap-6754	191	2	,	,	PUNCT
ap-6754	191	3	this	this	DET
ap-6754	191	4	phenomenon	phenomenon	NOUN
ap-6754	191	5	and	and	CCONJ
ap-6754	191	6	behaviour	behaviour	NOUN
ap-6754	191	7	of	of	ADP
ap-6754	191	8	functionally	functionally	ADV
ap-6754	191	9	graded	grade	VERB
ap-6754	191	10	materials	material	NOUN
ap-6754	191	11	may	may	AUX
ap-6754	191	12	be	be	AUX
ap-6754	191	13	important	important	ADJ
ap-6754	191	14	for	for	ADP
ap-6754	191	15	the	the	DET
ap-6754	191	16	design	design	NOUN
ap-6754	191	17	and	and	CCONJ
ap-6754	191	18	development	development	NOUN
ap-6754	191	19	of	of	ADP
ap-6754	191	20	the	the	DET
ap-6754	191	21	functionally	functionally	ADV
ap-6754	191	22	graded	grade	VERB
ap-6754	191	23	materials	material	NOUN
ap-6754	191	24	in	in	ADP
ap-6754	191	25	engineering	engineering	NOUN
ap-6754	191	26	applications	application	NOUN
ap-6754	191	27	,	,	PUNCT
ap-6754	191	28	especially	especially	ADV
ap-6754	191	29	for	for	ADP
ap-6754	191	30	those	those	PRON
ap-6754	191	31	that	that	PRON
ap-6754	191	32	suffer	suffer	VERB
ap-6754	191	33	tough	tough	ADJ
ap-6754	191	34	temperature	temperature	NOUN
ap-6754	191	35	conditions	condition	NOUN
ap-6754	191	36	.	.	PUNCT
ap-6754	192	1	535	535	NUM
ap-6754	192	2	hoang	hoang	PROPN
ap-6754	192	3	lan	lan	PROPN
ap-6754	192	4	ton	ton	PROPN
ap-6754	192	5	-	-	PROPN
ap-6754	192	6	that	that	SCONJ
ap-6754	192	7	acta	acta	PROPN
ap-6754	192	8	polytechnica	polytechnica	PROPN
ap-6754	192	9	s	s	PART
ap-6754	192	10	=	=	SYM
ap-6754	192	11	r	r	NOUN
ap-6754	192	12	/	/	SYM
ap-6754	192	13	h	h	NOUN
ap-6754	192	14	method	method	NOUN
ap-6754	192	15	n	n	ADV
ap-6754	192	16	0.5	0.5	NUM
ap-6754	192	17	1	1	NUM
ap-6754	192	18	2	2	NUM
ap-6754	192	19	50	50	NUM
ap-6754	192	20	the	the	DET
ap-6754	192	21	element	element	NOUN
ap-6754	192	22	-	-	PUNCT
ap-6754	192	23	free	free	ADJ
ap-6754	192	24	kp	kp	PROPN
ap-6754	192	25	-	-	PROPN
ap-6754	192	26	ritz	ritz	PROPN
ap-6754	192	27	method	method	NOUN
ap-6754	192	28	0.0038	0.0038	PROPN
ap-6754	192	29	0.0043	0.0043	NUM
ap-6754	192	30	0.0047	0.0047	NUM
ap-6754	192	31	present	present	ADJ
ap-6754	192	32	0.0038	0.0038	NUM
ap-6754	192	33	0.0043	0.0043	NUM
ap-6754	192	34	0.0048	0.0048	NUM
ap-6754	192	35	100	100	NUM
ap-6754	192	36	the	the	DET
ap-6754	192	37	element	element	NOUN
ap-6754	192	38	-	-	PUNCT
ap-6754	192	39	free	free	ADJ
ap-6754	192	40	kp	kp	PROPN
ap-6754	192	41	-	-	PROPN
ap-6754	192	42	ritz	ritz	PROPN
ap-6754	192	43	method	method	NOUN
ap-6754	192	44	0.0542	0.0542	NUM
ap-6754	192	45	0.0607	0.0607	NUM
ap-6754	192	46	0.0666	0.0666	NUM
ap-6754	192	47	present	present	ADJ
ap-6754	192	48	0.0542	0.0542	NUM
ap-6754	193	1	0.0607	0.0607	NUM
ap-6754	193	2	0.0666	0.0666	NUM
ap-6754	193	3	200	200	NUM
ap-6754	193	4	the	the	DET
ap-6754	193	5	element	element	NOUN
ap-6754	193	6	-	-	PUNCT
ap-6754	193	7	free	free	ADJ
ap-6754	193	8	kp	kp	PROPN
ap-6754	193	9	-	-	PROPN
ap-6754	193	10	ritz	ritz	PROPN
ap-6754	193	11	method	method	NOUN
ap-6754	193	12	0.6503	0.6503	NUM
ap-6754	193	13	0.7283	0.7283	NUM
ap-6754	193	14	0.8057	0.8057	NUM
ap-6754	193	15	present	present	ADJ
ap-6754	193	16	0.6422	0.6422	NUM
ap-6754	193	17	0.7192	0.7192	NUM
ap-6754	193	18	0.7954	0.7954	NUM
ap-6754	193	19	table	table	NOUN
ap-6754	193	20	4	4	NUM
ap-6754	193	21	.	.	PUNCT
ap-6754	193	22	comparison	comparison	NOUN
ap-6754	193	23	of	of	ADP
ap-6754	193	24	the	the	DET
ap-6754	193	25	dimensionless	dimensionless	NOUN
ap-6754	193	26	deflections	deflection	NOUN
ap-6754	193	27	at	at	ADP
ap-6754	193	28	a	a	DET
ap-6754	193	29	central	central	ADJ
ap-6754	193	30	point	point	NOUN
ap-6754	193	31	of	of	ADP
ap-6754	193	32	a	a	DET
ap-6754	193	33	fully	fully	ADV
ap-6754	193	34	simply	simply	ADV
ap-6754	193	35	supported	support	VERB
ap-6754	193	36	functionally	functionally	ADV
ap-6754	193	37	graded	grade	VERB
ap-6754	193	38	zro2	zro2	PROPN
ap-6754	193	39	/	/	SYM
ap-6754	193	40	al	al	PROPN
ap-6754	193	41	cylindrical	cylindrical	PROPN
ap-6754	193	42	panel	panel	NOUN
ap-6754	193	43	(	(	PUNCT
ap-6754	193	44	l	l	NOUN
ap-6754	193	45	=	=	PUNCT
ap-6754	193	46	0.2	0.2	NUM
ap-6754	193	47	m	m	NOUN
ap-6754	193	48	,	,	PUNCT
ap-6754	194	1	r	r	NOUN
ap-6754	194	2	=	=	SYM
ap-6754	194	3	1	1	NUM
ap-6754	194	4	m	m	NOUN
ap-6754	194	5	,	,	PUNCT
ap-6754	194	6	ϕ	ϕ	X
ap-6754	194	7	=	=	SYM
ap-6754	194	8	0.2	0.2	NUM
ap-6754	194	9	rad	rad	NOUN
ap-6754	194	10	)	)	PUNCT
ap-6754	194	11	for	for	ADP
ap-6754	194	12	different	different	ADJ
ap-6754	194	13	values	value	NOUN
ap-6754	194	14	of	of	ADP
ap-6754	194	15	volume	volume	NOUN
ap-6754	194	16	fraction	fraction	NOUN
ap-6754	194	17	exponent	exponent	NOUN
ap-6754	194	18	n	n	X
ap-6754	194	19	under	under	ADP
ap-6754	194	20	an	an	DET
ap-6754	194	21	ambient	ambient	ADJ
ap-6754	194	22	temperature	temperature	NOUN
ap-6754	194	23	.	.	PUNCT
ap-6754	195	1	(	(	PUNCT
ap-6754	195	2	a	a	NOUN
ap-6754	195	3	)	)	PUNCT
ap-6754	195	4	.	.	PUNCT
ap-6754	196	1	(	(	PUNCT
ap-6754	196	2	b	b	NOUN
ap-6754	196	3	)	)	PUNCT
ap-6754	196	4	.	.	PUNCT
ap-6754	197	1	(	(	PUNCT
ap-6754	197	2	c	c	X
ap-6754	197	3	)	)	PUNCT
ap-6754	197	4	.	.	PUNCT
ap-6754	198	1	figure	figure	VERB
ap-6754	198	2	6	6	NUM
ap-6754	198	3	.	.	PUNCT
ap-6754	199	1	the	the	DET
ap-6754	199	2	first	first	ADJ
ap-6754	199	3	three	three	NUM
ap-6754	199	4	mode	mode	NOUN
ap-6754	199	5	shapes	shape	NOUN
ap-6754	199	6	of	of	ADP
ap-6754	199	7	fully	fully	ADV
ap-6754	199	8	simply	simply	ADV
ap-6754	199	9	supported	support	VERB
ap-6754	199	10	si3n4	si3n4	PROPN
ap-6754	199	11	/	/	SYM
ap-6754	199	12	sus304	sus304	PROPN
ap-6754	199	13	square	square	ADJ
ap-6754	199	14	plate	plate	NOUN
ap-6754	199	15	.	.	PUNCT
ap-6754	200	1	3.2	3.2	NUM
ap-6754	200	2	.	.	PUNCT
ap-6754	201	1	vibration	vibration	NOUN
ap-6754	201	2	analysis	analysis	NOUN
ap-6754	201	3	the	the	DET
ap-6754	201	4	first	first	ADJ
ap-6754	201	5	example	example	NOUN
ap-6754	201	6	in	in	ADP
ap-6754	201	7	this	this	DET
ap-6754	201	8	section	section	NOUN
ap-6754	201	9	is	be	AUX
ap-6754	201	10	related	relate	VERB
ap-6754	201	11	to	to	ADP
ap-6754	201	12	the	the	DET
ap-6754	201	13	fully	fully	ADV
ap-6754	201	14	simply	simply	ADV
ap-6754	201	15	supported	support	VERB
ap-6754	201	16	square	square	ADJ
ap-6754	201	17	functionally	functionally	ADV
ap-6754	201	18	graded	grade	VERB
ap-6754	201	19	plates	plate	NOUN
ap-6754	201	20	and	and	CCONJ
ap-6754	201	21	their	their	PRON
ap-6754	201	22	natural	natural	ADJ
ap-6754	201	23	frequencies	frequency	NOUN
ap-6754	201	24	in	in	ADP
ap-6754	201	25	a	a	DET
ap-6754	201	26	thermal	thermal	ADJ
ap-6754	201	27	environment	environment	NOUN
ap-6754	201	28	.	.	PUNCT
ap-6754	202	1	three	three	NUM
ap-6754	202	2	types	type	NOUN
ap-6754	202	3	of	of	ADP
ap-6754	202	4	materials	material	NOUN
ap-6754	202	5	are	be	AUX
ap-6754	202	6	used	use	VERB
ap-6754	202	7	in	in	ADP
ap-6754	202	8	this	this	DET
ap-6754	202	9	study	study	NOUN
ap-6754	202	10	:	:	PUNCT
ap-6754	202	11	si3n4	si3n4	PROPN
ap-6754	202	12	/	/	SYM
ap-6754	202	13	sus304	sus304	PROPN
ap-6754	202	14	,	,	PUNCT
ap-6754	202	15	al2o3	al2o3	PROPN
ap-6754	202	16	/	/	SYM
ap-6754	202	17	sus304	sus304	PROPN
ap-6754	202	18	and	and	CCONJ
ap-6754	202	19	zro2	zro2	PROPN
ap-6754	202	20	/	/	SYM
ap-6754	202	21	sus304	sus304	PROPN
ap-6754	202	22	.	.	PUNCT
ap-6754	203	1	the	the	DET
ap-6754	203	2	geometrical	geometrical	ADJ
ap-6754	203	3	parameters	parameter	NOUN
ap-6754	203	4	are	be	AUX
ap-6754	203	5	set	set	VERB
ap-6754	203	6	to	to	PART
ap-6754	203	7	be	be	AUX
ap-6754	203	8	:	:	PUNCT
ap-6754	203	9	length	length	VERB
ap-6754	203	10	a	a	DET
ap-6754	203	11	=	=	X
ap-6754	203	12	b	b	NOUN
ap-6754	203	13	=	=	SYM
ap-6754	203	14	0.2	0.2	NUM
ap-6754	203	15	m	m	NOUN
ap-6754	203	16	,	,	PUNCT
ap-6754	203	17	thickness	thickness	NOUN
ap-6754	203	18	h	h	NOUN
ap-6754	203	19	=	=	NOUN
ap-6754	203	20	0.025	0.025	NUM
ap-6754	203	21	m.	m.	NOUN
ap-6754	203	22	the	the	DET
ap-6754	203	23	natural	natural	ADJ
ap-6754	203	24	frequency	frequency	NOUN
ap-6754	203	25	results	result	NOUN
ap-6754	203	26	presented	present	VERB
ap-6754	203	27	in	in	ADP
ap-6754	203	28	the	the	DET
ap-6754	203	29	dimensionless	dimensionless	NOUN
ap-6754	203	30	values	value	NOUN
ap-6754	203	31	ω	ω	X
ap-6754	203	32	=	=	SYM
ap-6754	203	33	(	(	PUNCT
ap-6754	203	34	ωa2	ωa2	PROPN
ap-6754	203	35	/	/	SYM
ap-6754	203	36	h)[ρm(1−ν2)/em]1/2	h)[ρm(1−ν2)/em]1/2	PUNCT
ap-6754	203	37	with	with	ADP
ap-6754	203	38	em	em	PRON
ap-6754	203	39	and	and	CCONJ
ap-6754	203	40	ρm	ρm	PROPN
ap-6754	203	41	are	be	AUX
ap-6754	203	42	taken	take	VERB
ap-6754	203	43	at	at	ADP
ap-6754	203	44	t	t	NOUN
ap-6754	203	45	=	=	SYM
ap-6754	203	46	300k	300k	PROPN
ap-6754	203	47	.	.	PUNCT
ap-6754	204	1	table	table	NOUN
ap-6754	204	2	5	5	NUM
ap-6754	204	3	gives	give	VERB
ap-6754	204	4	the	the	DET
ap-6754	204	5	comparison	comparison	NOUN
ap-6754	204	6	of	of	ADP
ap-6754	204	7	first	first	ADJ
ap-6754	204	8	three	three	NUM
ap-6754	204	9	modes	mode	NOUN
ap-6754	204	10	of	of	ADP
ap-6754	204	11	dimensionless	dimensionless	NOUN
ap-6754	204	12	frequencies	frequency	NOUN
ap-6754	204	13	of	of	ADP
ap-6754	204	14	si3n4	si3n4	PROPN
ap-6754	204	15	/	/	SYM
ap-6754	204	16	sus304	sus304	PROPN
ap-6754	204	17	,	,	PUNCT
ap-6754	204	18	al2o3	al2o3	PROPN
ap-6754	204	19	/	/	SYM
ap-6754	204	20	sus304	sus304	PROPN
ap-6754	204	21	and	and	CCONJ
ap-6754	204	22	zro2	zro2	PROPN
ap-6754	204	23	/	/	SYM
ap-6754	204	24	sus304	sus304	PROPN
ap-6754	204	25	square	square	ADJ
ap-6754	204	26	plates	plate	NOUN
ap-6754	204	27	under	under	ADP
ap-6754	204	28	different	different	ADJ
ap-6754	204	29	values	value	NOUN
ap-6754	204	30	of	of	ADP
ap-6754	204	31	n	n	PROPN
ap-6754	204	32	(	(	PUNCT
ap-6754	204	33	0.5	0.5	NUM
ap-6754	204	34	,	,	PUNCT
ap-6754	204	35	1	1	NUM
ap-6754	204	36	&	&	CCONJ
ap-6754	204	37	2	2	NUM
ap-6754	204	38	)	)	PUNCT
ap-6754	204	39	among	among	ADP
ap-6754	204	40	the	the	DET
ap-6754	204	41	proposed	propose	VERB
ap-6754	204	42	element	element	NOUN
ap-6754	204	43	and	and	CCONJ
ap-6754	204	44	others	other	NOUN
ap-6754	204	45	related	relate	VERB
ap-6754	204	46	to	to	ADP
ap-6754	204	47	two	two	NUM
ap-6754	204	48	analytical	analytical	ADJ
ap-6754	204	49	solutions	solution	NOUN
ap-6754	204	50	based	base	VERB
ap-6754	204	51	on	on	ADP
ap-6754	204	52	higher	high	ADJ
ap-6754	204	53	-	-	PUNCT
ap-6754	204	54	order	order	NOUN
ap-6754	204	55	shear	shear	NOUN
ap-6754	204	56	deformation	deformation	NOUN
ap-6754	204	57	theories	theory	NOUN
ap-6754	204	58	[	[	X
ap-6754	204	59	1	1	NUM
ap-6754	204	60	,	,	PUNCT
ap-6754	204	61	3	3	NUM
ap-6754	204	62	]	]	PUNCT
ap-6754	204	63	and	and	CCONJ
ap-6754	204	64	numerical	numerical	ADJ
ap-6754	204	65	solution	solution	NOUN
ap-6754	204	66	based	base	VERB
ap-6754	204	67	on	on	ADP
ap-6754	204	68	the	the	DET
ap-6754	204	69	standard	standard	ADJ
ap-6754	204	70	finite	finite	ADJ
ap-6754	204	71	element	element	NOUN
ap-6754	204	72	method	method	NOUN
ap-6754	204	73	connected	connect	VERB
ap-6754	204	74	to	to	ADP
ap-6754	204	75	the	the	DET
ap-6754	204	76	higher	high	ADJ
ap-6754	204	77	-	-	PUNCT
ap-6754	204	78	order	order	NOUN
ap-6754	204	79	shear	shear	NOUN
ap-6754	204	80	deformation	deformation	NOUN
ap-6754	204	81	theory	theory	NOUN
ap-6754	204	82	[	[	X
ap-6754	204	83	5	5	NUM
ap-6754	204	84	]	]	PUNCT
ap-6754	204	85	.	.	PUNCT
ap-6754	205	1	as	as	SCONJ
ap-6754	205	2	expected	expect	VERB
ap-6754	205	3	,	,	PUNCT
ap-6754	205	4	the	the	DET
ap-6754	205	5	presented	present	VERB
ap-6754	205	6	results	result	NOUN
ap-6754	205	7	show	show	VERB
ap-6754	205	8	a	a	DET
ap-6754	205	9	good	good	ADJ
ap-6754	205	10	agreement	agreement	NOUN
ap-6754	205	11	with	with	ADP
ap-6754	205	12	exact	exact	ADJ
ap-6754	205	13	solutions	solution	NOUN
ap-6754	205	14	.	.	PUNCT
ap-6754	206	1	although	although	SCONJ
ap-6754	206	2	it	it	PRON
ap-6754	206	3	only	only	ADV
ap-6754	206	4	uses	use	VERB
ap-6754	206	5	the	the	DET
ap-6754	206	6	first	first	ADJ
ap-6754	206	7	-	-	PUNCT
ap-6754	206	8	order	order	NOUN
ap-6754	206	9	shear	shear	NOUN
ap-6754	206	10	deformation	deformation	NOUN
ap-6754	206	11	theory	theory	NOUN
ap-6754	206	12	,	,	PUNCT
ap-6754	206	13	its	its	PRON
ap-6754	206	14	results	result	NOUN
ap-6754	206	15	are	be	AUX
ap-6754	206	16	almost	almost	ADV
ap-6754	206	17	identical	identical	ADJ
ap-6754	206	18	to	to	ADP
ap-6754	206	19	other	other	ADJ
ap-6754	206	20	results	result	NOUN
ap-6754	206	21	based	base	VERB
ap-6754	206	22	on	on	ADP
ap-6754	206	23	a	a	DET
ap-6754	206	24	higher	high	ADJ
ap-6754	206	25	-	-	PUNCT
ap-6754	206	26	order	order	NOUN
ap-6754	206	27	shear	shear	NOUN
ap-6754	206	28	deformation	deformation	NOUN
ap-6754	206	29	theory	theory	NOUN
ap-6754	206	30	[	[	X
ap-6754	206	31	1	1	NUM
ap-6754	206	32	,	,	PUNCT
ap-6754	206	33	3	3	NUM
ap-6754	206	34	,	,	PUNCT
ap-6754	206	35	5	5	NUM
ap-6754	206	36	]	]	PUNCT
ap-6754	206	37	.	.	PUNCT
ap-6754	207	1	moreover	moreover	ADV
ap-6754	207	2	,	,	PUNCT
ap-6754	207	3	under	under	ADP
ap-6754	207	4	the	the	DET
ap-6754	207	5	same	same	ADJ
ap-6754	207	6	conditions	condition	NOUN
ap-6754	207	7	,	,	PUNCT
ap-6754	207	8	the	the	DET
ap-6754	207	9	si3n4	si3n4	PROPN
ap-6754	207	10	/	/	SYM
ap-6754	207	11	sus304	sus304	PROPN
ap-6754	207	12	square	square	ADJ
ap-6754	207	13	plate	plate	NOUN
ap-6754	207	14	has	have	VERB
ap-6754	207	15	the	the	DET
ap-6754	207	16	largest	large	ADJ
ap-6754	207	17	frequencies	frequency	NOUN
ap-6754	207	18	while	while	SCONJ
ap-6754	207	19	zro2	zro2	PROPN
ap-6754	207	20	/	/	SYM
ap-6754	207	21	sus304	sus304	PROPN
ap-6754	207	22	square	square	ADJ
ap-6754	207	23	plate	plate	NOUN
ap-6754	207	24	provides	provide	VERB
ap-6754	207	25	the	the	DET
ap-6754	207	26	smallest	small	ADJ
ap-6754	207	27	values	value	NOUN
ap-6754	207	28	.	.	PUNCT
ap-6754	208	1	in	in	ADP
ap-6754	208	2	order	order	NOUN
ap-6754	208	3	to	to	PART
ap-6754	208	4	further	far	ADV
ap-6754	208	5	validate	validate	VERB
ap-6754	208	6	the	the	DET
ap-6754	208	7	accuracy	accuracy	NOUN
ap-6754	208	8	of	of	ADP
ap-6754	208	9	the	the	DET
ap-6754	208	10	combined	combine	VERB
ap-6754	208	11	strain	strain	NOUN
ap-6754	208	12	element	element	NOUN
ap-6754	208	13	,	,	PUNCT
ap-6754	208	14	especially	especially	ADV
ap-6754	208	15	for	for	ADP
ap-6754	208	16	structures	structure	NOUN
ap-6754	208	17	in	in	ADP
ap-6754	208	18	high	high	ADJ
ap-6754	208	19	temperature	temperature	NOUN
ap-6754	208	20	environments	environment	NOUN
ap-6754	208	21	,	,	PUNCT
ap-6754	208	22	table	table	NOUN
ap-6754	208	23	6	6	NUM
ap-6754	208	24	presents	present	VERB
ap-6754	208	25	a	a	DET
ap-6754	208	26	comparison	comparison	NOUN
ap-6754	208	27	of	of	ADP
ap-6754	208	28	the	the	DET
ap-6754	208	29	fundamental	fundamental	ADJ
ap-6754	208	30	frequency	frequency	NOUN
ap-6754	208	31	at	at	ADP
ap-6754	208	32	high	high	ADJ
ap-6754	208	33	temperatures	temperature	NOUN
ap-6754	208	34	t	t	X
ap-6754	208	35	=	=	SYM
ap-6754	208	36	400k	400k	PROPN
ap-6754	208	37	,	,	PUNCT
ap-6754	208	38	500k	500k	PROPN
ap-6754	208	39	&	&	CCONJ
ap-6754	208	40	600k	600k	NUM
ap-6754	208	41	of	of	ADP
ap-6754	208	42	two	two	NUM
ap-6754	208	43	types	type	NOUN
ap-6754	208	44	of	of	ADP
ap-6754	208	45	materials	material	NOUN
ap-6754	208	46	,	,	PUNCT
ap-6754	208	47	si3n4	si3n4	PROPN
ap-6754	208	48	/	/	SYM
ap-6754	208	49	sus304	sus304	PROPN
ap-6754	208	50	and	and	CCONJ
ap-6754	208	51	al2o3	al2o3	PROPN
ap-6754	208	52	/	/	SYM
ap-6754	208	53	sus304	sus304	PROPN
ap-6754	208	54	,	,	PUNCT
ap-6754	208	55	with	with	ADP
ap-6754	208	56	fully	fully	ADV
ap-6754	208	57	clamped	clamp	VERB
ap-6754	208	58	plates	plate	NOUN
ap-6754	208	59	for	for	ADP
ap-6754	208	60	three	three	NUM
ap-6754	208	61	values	value	NOUN
ap-6754	208	62	of	of	ADP
ap-6754	208	63	n	n	PROPN
ap-6754	208	64	(	(	PUNCT
ap-6754	208	65	0.5	0.5	NUM
ap-6754	208	66	,	,	PUNCT
ap-6754	208	67	1	1	NUM
ap-6754	208	68	&	&	CCONJ
ap-6754	208	69	5	5	NUM
ap-6754	208	70	)	)	PUNCT
ap-6754	208	71	between	between	ADP
ap-6754	208	72	the	the	DET
ap-6754	208	73	proposed	propose	VERB
ap-6754	208	74	element	element	NOUN
ap-6754	208	75	and	and	CCONJ
ap-6754	208	76	analytical	analytical	ADJ
ap-6754	208	77	method	method	NOUN
ap-6754	208	78	based	base	VERB
ap-6754	208	79	on	on	ADP
ap-6754	208	80	shi	shi	PROPN
ap-6754	208	81	theory	theory	NOUN
ap-6754	208	82	[	[	X
ap-6754	208	83	1	1	NUM
ap-6754	208	84	]	]	PUNCT
ap-6754	208	85	.	.	PUNCT
ap-6754	209	1	it	it	PRON
ap-6754	209	2	can	can	AUX
ap-6754	209	3	be	be	AUX
ap-6754	209	4	seen	see	VERB
ap-6754	209	5	that	that	SCONJ
ap-6754	209	6	the	the	DET
ap-6754	209	7	frequencies	frequency	NOUN
ap-6754	209	8	at	at	ADP
ap-6754	209	9	high	high	ADJ
ap-6754	209	10	temperatures	temperature	NOUN
ap-6754	209	11	achieved	achieve	VERB
ap-6754	209	12	by	by	ADP
ap-6754	209	13	the	the	DET
ap-6754	209	14	combined	combine	VERB
ap-6754	209	15	strain	strain	NOUN
ap-6754	209	16	element	element	NOUN
ap-6754	209	17	are	be	AUX
ap-6754	209	18	in	in	ADP
ap-6754	209	19	close	close	ADJ
ap-6754	209	20	agreement	agreement	NOUN
ap-6754	209	21	with	with	ADP
ap-6754	209	22	the	the	DET
ap-6754	209	23	analytical	analytical	ADJ
ap-6754	209	24	solutions	solution	NOUN
ap-6754	210	1	[	[	X
ap-6754	210	2	1	1	NUM
ap-6754	210	3	]	]	PUNCT
ap-6754	210	4	.	.	PUNCT
ap-6754	211	1	finally	finally	ADV
ap-6754	211	2	,	,	PUNCT
ap-6754	211	3	the	the	DET
ap-6754	211	4	first	first	ADJ
ap-6754	211	5	three	three	NUM
ap-6754	211	6	modes	mode	NOUN
ap-6754	211	7	of	of	ADP
ap-6754	211	8	a	a	DET
ap-6754	211	9	simply	simply	ADV
ap-6754	211	10	supported	support	VERB
ap-6754	211	11	functionally	functionally	ADV
ap-6754	211	12	graded	grade	VERB
ap-6754	211	13	si3n4	si3n4	PROPN
ap-6754	211	14	/	/	SYM
ap-6754	211	15	sus304	sus304	PROPN
ap-6754	211	16	square	square	ADJ
ap-6754	211	17	plate	plate	NOUN
ap-6754	211	18	(	(	PUNCT
ap-6754	211	19	a	a	PRON
ap-6754	211	20	=	=	SYM
ap-6754	211	21	b	b	NOUN
ap-6754	211	22	=	=	SYM
ap-6754	211	23	0.2	0.2	NUM
ap-6754	211	24	m	m	PROPN
ap-6754	211	25	and	and	CCONJ
ap-6754	211	26	h	h	NOUN
ap-6754	211	27	=	=	NOUN
ap-6754	211	28	0.025	0.025	NUM
ap-6754	211	29	m	m	NOUN
ap-6754	211	30	)	)	PUNCT
ap-6754	211	31	are	be	AUX
ap-6754	211	32	also	also	ADV
ap-6754	211	33	depicted	depict	VERB
ap-6754	211	34	in	in	ADP
ap-6754	211	35	figure	figure	NOUN
ap-6754	211	36	6	6	NUM
ap-6754	211	37	.	.	PUNCT
ap-6754	212	1	the	the	DET
ap-6754	212	2	frequencies	frequency	NOUN
ap-6754	212	3	increase	increase	VERB
ap-6754	212	4	with	with	ADP
ap-6754	212	5	increasing	increase	VERB
ap-6754	212	6	the	the	DET
ap-6754	212	7	temperature	temperature	NOUN
ap-6754	212	8	from	from	ADP
ap-6754	212	9	400k	400k	PROPN
ap-6754	212	10	upto	upto	PROPN
ap-6754	212	11	600k	600k	NOUN
ap-6754	212	12	,	,	PUNCT
ap-6754	212	13	but	but	CCONJ
ap-6754	212	14	these	these	DET
ap-6754	212	15	frequencies	frequency	NOUN
ap-6754	212	16	decrease	decrease	VERB
ap-6754	212	17	when	when	SCONJ
ap-6754	212	18	the	the	DET
ap-6754	212	19	plates	plate	NOUN
ap-6754	212	20	are	be	AUX
ap-6754	212	21	more	more	ADV
ap-6754	212	22	and	and	CCONJ
ap-6754	212	23	more	more	ADV
ap-6754	212	24	metallic	metallic	ADJ
ap-6754	212	25	.	.	PUNCT
ap-6754	213	1	4	4	X
ap-6754	213	2	.	.	X
ap-6754	213	3	conclusions	conclusion	NOUN
ap-6754	213	4	9	9	NUM
ap-6754	213	5	.	.	PUNCT
ap-6754	214	1	in	in	ADP
ap-6754	214	2	this	this	DET
ap-6754	214	3	work	work	NOUN
ap-6754	214	4	,	,	PUNCT
ap-6754	214	5	an	an	DET
ap-6754	214	6	efficient	efficient	ADJ
ap-6754	214	7	numerical	numerical	ADJ
ap-6754	214	8	method	method	NOUN
ap-6754	214	9	based	base	VERB
ap-6754	214	10	on	on	ADP
ap-6754	214	11	the	the	DET
ap-6754	214	12	combined	combine	VERB
ap-6754	214	13	strain	strain	NOUN
ap-6754	214	14	element	element	NOUN
ap-6754	214	15	is	be	AUX
ap-6754	214	16	developed	develop	VERB
ap-6754	214	17	for	for	ADP
ap-6754	214	18	modelling	model	VERB
ap-6754	214	19	functionally	functionally	ADV
ap-6754	214	20	graded	grade	VERB
ap-6754	214	21	structures	structure	NOUN
ap-6754	214	22	in	in	ADP
ap-6754	214	23	a	a	DET
ap-6754	214	24	thermal	thermal	ADJ
ap-6754	214	25	environment	environment	NOUN
ap-6754	214	26	.	.	PUNCT
ap-6754	215	1	the	the	DET
ap-6754	215	2	combination	combination	NOUN
ap-6754	215	3	of	of	ADP
ap-6754	215	4	the	the	DET
ap-6754	215	5	membrane	membrane	NOUN
ap-6754	215	6	strain	strain	NOUN
ap-6754	215	7	and	and	CCONJ
ap-6754	215	8	shear	shear	NOUN
ap-6754	215	9	strain	strain	NOUN
ap-6754	215	10	related	relate	VERB
ap-6754	215	11	to	to	ADP
ap-6754	215	12	tying	tie	VERB
ap-6754	215	13	points	point	NOUN
ap-6754	215	14	and	and	CCONJ
ap-6754	215	15	bending	bend	VERB
ap-6754	215	16	strain	strain	NOUN
ap-6754	215	17	with	with	ADP
ap-6754	215	18	respect	respect	NOUN
ap-6754	215	19	to	to	ADP
ap-6754	215	20	cell	cell	NOUN
ap-6754	215	21	-	-	PUNCT
ap-6754	215	22	based	base	VERB
ap-6754	215	23	smoothed	smooth	VERB
ap-6754	215	24	finite	finite	ADJ
ap-6754	215	25	element	element	NOUN
ap-6754	215	26	method	method	NOUN
ap-6754	215	27	is	be	AUX
ap-6754	215	28	established	establish	VERB
ap-6754	215	29	to	to	PART
ap-6754	215	30	build	build	VERB
ap-6754	215	31	the	the	DET
ap-6754	215	32	proposed	propose	VERB
ap-6754	215	33	element	element	NOUN
ap-6754	215	34	.	.	PUNCT
ap-6754	216	1	the	the	DET
ap-6754	216	2	numerical	numerical	ADJ
ap-6754	216	3	results	result	NOUN
ap-6754	216	4	show	show	VERB
ap-6754	216	5	that	that	SCONJ
ap-6754	216	6	the	the	DET
ap-6754	216	7	presented	present	VERB
ap-6754	216	8	element	element	NOUN
ap-6754	216	9	can	can	AUX
ap-6754	216	10	be	be	AUX
ap-6754	216	11	used	use	VERB
ap-6754	216	12	to	to	PART
ap-6754	216	13	analyse	analyse	VERB
ap-6754	216	14	and	and	CCONJ
ap-6754	216	15	predict	predict	VERB
ap-6754	216	16	the	the	DET
ap-6754	216	17	behaviour	behaviour	NOUN
ap-6754	216	18	of	of	ADP
ap-6754	216	19	functionally	functionally	ADV
ap-6754	216	20	graded	grade	VERB
ap-6754	216	21	plate	plate	NOUN
ap-6754	216	22	/	/	SYM
ap-6754	216	23	shell	shell	NOUN
ap-6754	216	24	structures	structure	NOUN
ap-6754	216	25	in	in	ADP
ap-6754	216	26	a	a	DET
ap-6754	216	27	thermal	thermal	ADJ
ap-6754	216	28	environment	environment	NOUN
ap-6754	216	29	.	.	PUNCT
ap-6754	217	1	in	in	ADP
ap-6754	217	2	each	each	DET
ap-6754	217	3	case	case	NOUN
ap-6754	217	4	of	of	ADP
ap-6754	217	5	the	the	DET
ap-6754	217	6	study	study	NOUN
ap-6754	217	7	with	with	ADP
ap-6754	217	8	,	,	PUNCT
ap-6754	217	9	the	the	DET
ap-6754	217	10	achieved	achieve	VERB
ap-6754	217	11	results	result	NOUN
ap-6754	217	12	are	be	AUX
ap-6754	217	13	found	find	VERB
ap-6754	217	14	to	to	PART
ap-6754	217	15	agree	agree	VERB
ap-6754	217	16	well	well	ADV
ap-6754	217	17	with	with	ADP
ap-6754	217	18	other	other	ADJ
ap-6754	217	19	analytical	analytical	ADJ
ap-6754	217	20	results	result	NOUN
ap-6754	217	21	,	,	PUNCT
ap-6754	217	22	or	or	CCONJ
ap-6754	217	23	with	with	ADP
ap-6754	217	24	536	536	NUM
ap-6754	217	25	vol	vol	NOUN
ap-6754	217	26	.	.	PUNCT
ap-6754	218	1	60	60	NUM
ap-6754	218	2	no	no	INTJ
ap-6754	218	3	.	.	PUNCT
ap-6754	219	1	6/2020	6/2020	NUM
ap-6754	219	2	a	a	DET
ap-6754	219	3	combined	combine	VERB
ap-6754	219	4	strain	strain	NOUN
ap-6754	219	5	element	element	NOUN
ap-6754	219	6	to	to	ADP
ap-6754	219	7	functionally	functionally	ADV
ap-6754	219	8	graded	grade	VERB
ap-6754	219	9	structures	structure	NOUN
ap-6754	219	10	.	.	PUNCT
ap-6754	219	11	.	.	PUNCT
ap-6754	219	12	.	.	PUNCT
ap-6754	220	1	n	n	DET
ap-6754	220	2	material	material	NOUN
ap-6754	220	3	mode	mode	NOUN
ap-6754	220	4	[	[	X
ap-6754	220	5	1	1	X
ap-6754	220	6	]	]	X
ap-6754	221	1	[	[	X
ap-6754	221	2	3	3	X
ap-6754	221	3	]	]	X
ap-6754	221	4	[	[	X
ap-6754	221	5	5	5	NUM
ap-6754	221	6	]	]	PUNCT
ap-6754	221	7	present	present	ADJ
ap-6754	221	8	0.5	0.5	NUM
ap-6754	221	9	si3n4	si3n4	PROPN
ap-6754	221	10	/	/	SYM
ap-6754	221	11	sus304	sus304	PROPN
ap-6754	221	12	1	1	NUM
ap-6754	221	13	8.675	8.675	NUM
ap-6754	221	14	8.646	8.646	NUM
ap-6754	221	15	8.554	8.554	NUM
ap-6754	221	16	8.555	8.555	NUM
ap-6754	221	17	2	2	NUM
ap-6754	221	18	20.262	20.262	NUM
ap-6754	221	19	20.080	20.080	NUM
ap-6754	221	20	20.559	20.559	NUM
ap-6754	221	21	20.849	20.849	NUM
ap-6754	221	22	3	3	NUM
ap-6754	221	23	30.359	30.359	NUM
ap-6754	221	24	29.908	29.908	NUM
ap-6754	221	25	31.088	31.088	NUM
ap-6754	221	26	31.514	31.514	NUM
ap-6754	221	27	al2o3	al2o3	PROPN
ap-6754	221	28	/	/	SYM
ap-6754	221	29	sus304	sus304	PROPN
ap-6754	221	30	1	1	NUM
ap-6754	221	31	7.803	7.803	NUM
ap-6754	221	32	7.805	7.805	NUM
ap-6754	221	33	7.759	7.759	NUM
ap-6754	221	34	2	2	NUM
ap-6754	221	35	18.253	18.253	NUM
ap-6754	221	36	19.003	19.003	NUM
ap-6754	221	37	18.892	18.892	NUM
ap-6754	221	38	3	3	NUM
ap-6754	221	39	27.569	27.569	NUM
ap-6754	221	40	28.018	28.018	NUM
ap-6754	221	41	28.538	28.538	NUM
ap-6754	221	42	zro2	zro2	PROPN
ap-6754	221	43	/	/	SYM
ap-6754	221	44	sus304	sus304	PROPN
ap-6754	221	45	1	1	NUM
ap-6754	221	46	6.368	6.368	NUM
ap-6754	221	47	6.406	6.406	NUM
ap-6754	221	48	6.418	6.418	NUM
ap-6754	221	49	2	2	NUM
ap-6754	221	50	14.824	14.824	NUM
ap-6754	221	51	15.119	15.119	NUM
ap-6754	221	52	15.567	15.567	NUM
ap-6754	221	53	3	3	NUM
ap-6754	221	54	24.570	24.570	NUM
ap-6754	221	55	24.719	24.719	NUM
ap-6754	221	56	23.453	23.453	NUM
ap-6754	221	57	1	1	NUM
ap-6754	221	58	si3n4	si3n4	PROPN
ap-6754	221	59	/	/	SYM
ap-6754	221	60	sus304	sus304	PROPN
ap-6754	221	61	1	1	NUM
ap-6754	221	62	7.555	7.555	NUM
ap-6754	221	63	7.599	7.599	NUM
ap-6754	221	64	7.487	7.487	NUM
ap-6754	221	65	7.502	7.502	NUM
ap-6754	221	66	2	2	NUM
ap-6754	221	67	17.649	17.649	NUM
ap-6754	221	68	17.705	17.705	NUM
ap-6754	221	69	17.987	17.987	NUM
ap-6754	221	70	18.286	18.286	NUM
ap-6754	221	71	3	3	NUM
ap-6754	221	72	26.606	26.606	NUM
ap-6754	221	73	26.727	26.727	NUM
ap-6754	221	74	27.209	27.209	NUM
ap-6754	221	75	27.643	27.643	NUM
ap-6754	221	76	al2o3	al2o3	PROPN
ap-6754	221	77	/	/	SYM
ap-6754	221	78	sus304	sus304	PROPN
ap-6754	221	79	1	1	NUM
ap-6754	221	80	7.114	7.114	NUM
ap-6754	221	81	6.997	6.997	NUM
ap-6754	221	82	7.058	7.058	NUM
ap-6754	221	83	2	2	NUM
ap-6754	221	84	16.633	16.633	NUM
ap-6754	221	85	16.518	16.518	NUM
ap-6754	221	86	17.185	17.185	NUM
ap-6754	221	87	3	3	NUM
ap-6754	221	88	24.700	24.700	NUM
ap-6754	221	89	25.433	25.433	NUM
ap-6754	221	90	25.958	25.958	NUM
ap-6754	221	91	zro2	zro2	PROPN
ap-6754	221	92	/	/	SYM
ap-6754	221	93	sus304	sus304	PROPN
ap-6754	221	94	1	1	NUM
ap-6754	221	95	6.037	6.037	NUM
ap-6754	221	96	6.075	6.075	NUM
ap-6754	221	97	6.080	6.080	NUM
ap-6754	221	98	2	2	NUM
ap-6754	221	99	14.014	14.014	NUM
ap-6754	221	100	14.544	14.544	NUM
ap-6754	221	101	14.760	14.760	NUM
ap-6754	221	102	3	3	NUM
ap-6754	221	103	21.456	21.456	NUM
ap-6754	221	104	21.582	21.582	NUM
ap-6754	221	105	22.250	22.250	NUM
ap-6754	221	106	2	2	NUM
ap-6754	221	107	si3n4	si3n4	PROPN
ap-6754	221	108	/	/	SYM
ap-6754	221	109	sus304	sus304	PROPN
ap-6754	221	110	1	1	NUM
ap-6754	221	111	6.777	6.777	NUM
ap-6754	221	112	6.825	6.825	NUM
ap-6754	221	113	6.705	6.705	NUM
ap-6754	221	114	6.737	6.737	NUM
ap-6754	221	115	2	2	NUM
ap-6754	221	116	15.809	15.809	NUM
ap-6754	221	117	15.947	15.947	NUM
ap-6754	221	118	16.083	16.083	NUM
ap-6754	221	119	16.413	16.413	NUM
ap-6754	221	120	3	3	NUM
ap-6754	221	121	23.806	23.806	NUM
ap-6754	221	122	24.147	24.147	NUM
ap-6754	221	123	24.326	24.326	NUM
ap-6754	221	124	24.803	24.803	NUM
ap-6754	221	125	al2o3	al2o3	PROPN
ap-6754	221	126	/	/	SYM
ap-6754	221	127	sus304	sus304	PROPN
ap-6754	221	128	1	1	NUM
ap-6754	221	129	6.563	6.563	NUM
ap-6754	221	130	6.519	6.519	NUM
ap-6754	221	131	6.511	6.511	NUM
ap-6754	221	132	2	2	NUM
ap-6754	221	133	15.323	15.323	NUM
ap-6754	221	134	15.833	15.833	NUM
ap-6754	221	135	15.841	15.841	NUM
ap-6754	221	136	3	3	NUM
ap-6754	221	137	23.048	23.048	NUM
ap-6754	221	138	23.346	23.346	NUM
ap-6754	221	139	23.916	23.916	NUM
ap-6754	221	140	zro2	zro2	NOUN
ap-6754	221	141	/	/	SYM
ap-6754	221	142	sus304	sus304	PROPN
ap-6754	221	143	1	1	NUM
ap-6754	221	144	5.753	5.753	NUM
ap-6754	221	145	5.796	5.796	NUM
ap-6754	221	146	5.794	5.794	NUM
ap-6754	221	147	2	2	NUM
ap-6754	221	148	13.294	13.294	NUM
ap-6754	221	149	13.898	13.898	NUM
ap-6754	221	150	14.081	14.081	NUM
ap-6754	221	151	3	3	NUM
ap-6754	221	152	20.247	20.247	NUM
ap-6754	221	153	20.636	20.636	NUM
ap-6754	221	154	21.243	21.243	NUM
ap-6754	221	155	table	table	NOUN
ap-6754	221	156	5	5	NUM
ap-6754	221	157	.	.	PUNCT
ap-6754	222	1	the	the	DET
ap-6754	222	2	comparison	comparison	NOUN
ap-6754	222	3	of	of	ADP
ap-6754	222	4	first	first	ADJ
ap-6754	222	5	three	three	NUM
ap-6754	222	6	modes	mode	NOUN
ap-6754	222	7	of	of	ADP
ap-6754	222	8	dimensionless	dimensionless	NOUN
ap-6754	222	9	frequencies	frequency	NOUN
ap-6754	222	10	of	of	ADP
ap-6754	222	11	fully	fully	ADV
ap-6754	222	12	simply	simply	ADV
ap-6754	222	13	supported	support	VERB
ap-6754	222	14	functionally	functionally	ADV
ap-6754	222	15	graded	grade	VERB
ap-6754	222	16	plates	plate	NOUN
ap-6754	222	17	under	under	ADP
ap-6754	222	18	ambient	ambient	ADJ
ap-6754	222	19	temperature	temperature	NOUN
ap-6754	222	20	.	.	PUNCT
ap-6754	223	1	n	n	PRON
ap-6754	223	2	mode	mode	VERB
ap-6754	223	3	1	1	NUM
ap-6754	223	4	si3n4	si3n4	PROPN
ap-6754	223	5	/	/	SYM
ap-6754	223	6	sus304	sus304	PROPN
ap-6754	223	7	al2o3	al2o3	PROPN
ap-6754	223	8	/	/	SYM
ap-6754	223	9	sus304	sus304	PROPN
ap-6754	223	10	400k	400k	PROPN
ap-6754	223	11	500k	500k	NUM
ap-6754	223	12	600k	600k	NUM
ap-6754	224	1	400k	400k	NUM
ap-6754	224	2	500k	500k	NUM
ap-6754	224	3	600k	600k	NUM
ap-6754	224	4	0.5	0.5	NUM
ap-6754	224	5	analytical	analytical	ADJ
ap-6754	224	6	solution	solution	NOUN
ap-6754	224	7	15.938	15.938	NUM
ap-6754	224	8	15.468	15.468	NUM
ap-6754	224	9	14.939	14.939	NUM
ap-6754	224	10	14.384	14.384	NUM
ap-6754	224	11	14.003	14.003	NUM
ap-6754	224	12	13.592	13.592	NUM
ap-6754	224	13	present	present	ADJ
ap-6754	224	14	14.966	14.966	NUM
ap-6754	224	15	14.990	14.990	NUM
ap-6754	224	16	15.083	15.083	NUM
ap-6754	224	17	13.568	13.568	NUM
ap-6754	224	18	13.611	13.611	NUM
ap-6754	224	19	13.727	13.727	NUM
ap-6754	224	20	1	1	NUM
ap-6754	224	21	analytical	analytical	ADJ
ap-6754	224	22	solution	solution	NOUN
ap-6754	224	23	13.915	13.915	NUM
ap-6754	224	24	13.426	13.426	NUM
ap-6754	224	25	12.941	12.941	NUM
ap-6754	224	26	13.025	13.025	NUM
ap-6754	224	27	12.631	12.631	NUM
ap-6754	224	28	12.188	12.188	NUM
ap-6754	224	29	present	present	ADJ
ap-6754	224	30	13.121	13.121	NUM
ap-6754	224	31	13.133	13.133	NUM
ap-6754	224	32	13.190	13.190	NUM
ap-6754	224	33	12.339	12.339	NUM
ap-6754	224	34	12.365	12.365	NUM
ap-6754	224	35	12.441	12.441	NUM
ap-6754	224	36	5	5	NUM
ap-6754	224	37	analytical	analytical	ADJ
ap-6754	224	38	solution	solution	NOUN
ap-6754	224	39	11.175	11.175	NUM
ap-6754	224	40	10.749	10.749	NUM
ap-6754	224	41	10.242	10.242	NUM
ap-6754	224	42	10.965	10.965	NUM
ap-6754	224	43	10.556	10.556	NUM
ap-6754	224	44	10.073	10.073	NUM
ap-6754	224	45	present	present	ADJ
ap-6754	224	46	10.672	10.672	NUM
ap-6754	224	47	10.679	10.679	NUM
ap-6754	224	48	10.694	10.694	NUM
ap-6754	224	49	10.533	10.533	NUM
ap-6754	224	50	10.539	10.539	NUM
ap-6754	224	51	10.564	10.564	NUM
ap-6754	224	52	table	table	NOUN
ap-6754	224	53	6	6	NUM
ap-6754	224	54	.	.	PUNCT
ap-6754	225	1	dimensionless	dimensionless	NOUN
ap-6754	225	2	frequencies	frequency	NOUN
ap-6754	225	3	of	of	ADP
ap-6754	225	4	fully	fully	ADV
ap-6754	225	5	clamped	clamp	VERB
ap-6754	225	6	functionally	functionally	ADV
ap-6754	225	7	graded	grade	VERB
ap-6754	225	8	plates	plate	NOUN
ap-6754	225	9	(	(	PUNCT
ap-6754	225	10	a	a	PRON
ap-6754	225	11	/	/	SYM
ap-6754	225	12	b	b	NOUN
ap-6754	225	13	=	=	SYM
ap-6754	225	14	1	1	NUM
ap-6754	225	15	,	,	PUNCT
ap-6754	225	16	a	a	DET
ap-6754	225	17	/	/	SYM
ap-6754	225	18	h	h	NOUN
ap-6754	225	19	=	=	NOUN
ap-6754	225	20	10	10	NUM
ap-6754	225	21	)	)	PUNCT
ap-6754	225	22	in	in	ADP
ap-6754	225	23	a	a	DET
ap-6754	225	24	high	high	ADJ
ap-6754	225	25	temperature	temperature	NOUN
ap-6754	225	26	.	.	PUNCT
ap-6754	226	1	537	537	NUM
ap-6754	226	2	hoang	hoang	PROPN
ap-6754	226	3	lan	lan	PROPN
ap-6754	226	4	ton	ton	PROPN
ap-6754	226	5	-	-	PROPN
ap-6754	226	6	that	that	SCONJ
ap-6754	226	7	acta	acta	PROPN
ap-6754	226	8	polytechnica	polytechnica	PROPN
ap-6754	226	9	other	other	ADJ
ap-6754	226	10	numerical	numerical	ADJ
ap-6754	226	11	methods	method	NOUN
ap-6754	226	12	.	.	PUNCT
ap-6754	227	1	based	base	VERB
ap-6754	227	2	on	on	ADP
ap-6754	227	3	this	this	DET
ap-6754	227	4	element	element	NOUN
ap-6754	227	5	,	,	PUNCT
ap-6754	227	6	the	the	DET
ap-6754	227	7	presented	present	VERB
ap-6754	227	8	numerical	numerical	PROPN
ap-6754	227	9	solutions	solution	NOUN
ap-6754	227	10	offer	offer	VERB
ap-6754	227	11	more	more	ADV
ap-6754	227	12	stable	stable	ADJ
ap-6754	227	13	than	than	ADP
ap-6754	227	14	others	other	NOUN
ap-6754	227	15	and	and	CCONJ
ap-6754	227	16	the	the	DET
ap-6754	227	17	applicability	applicability	NOUN
ap-6754	227	18	of	of	ADP
ap-6754	227	19	proposed	propose	VERB
ap-6754	227	20	element	element	NOUN
ap-6754	227	21	has	have	AUX
ap-6754	227	22	been	be	AUX
ap-6754	227	23	clearly	clearly	ADV
ap-6754	227	24	shown	show	VERB
ap-6754	227	25	as	as	ADP
ap-6754	227	26	above	above	ADP
ap-6754	227	27	section	section	NOUN
ap-6754	227	28	.	.	PUNCT
ap-6754	228	1	the	the	DET
ap-6754	228	2	present	present	ADJ
ap-6754	228	3	formulation	formulation	NOUN
ap-6754	228	4	is	be	AUX
ap-6754	228	5	general	general	ADJ
ap-6754	228	6	and	and	CCONJ
ap-6754	228	7	can	can	AUX
ap-6754	228	8	be	be	AUX
ap-6754	228	9	extended	extend	VERB
ap-6754	228	10	to	to	ADP
ap-6754	228	11	other	other	ADJ
ap-6754	228	12	problems	problem	NOUN
ap-6754	228	13	,	,	PUNCT
ap-6754	228	14	especially	especially	ADV
ap-6754	228	15	those	those	PRON
ap-6754	228	16	in	in	ADP
ap-6754	228	17	high	high	ADJ
ap-6754	228	18	temperature	temperature	NOUN
ap-6754	228	19	environments	environment	NOUN
ap-6754	228	20	.	.	PUNCT
ap-6754	229	1	the	the	DET
ap-6754	229	2	paper	paper	NOUN
ap-6754	229	3	also	also	ADV
ap-6754	229	4	helps	help	VERB
ap-6754	229	5	to	to	PART
ap-6754	229	6	supplement	supplement	VERB
ap-6754	229	7	knowledge	knowledge	NOUN
ap-6754	229	8	for	for	ADP
ap-6754	229	9	engineers	engineer	NOUN
ap-6754	229	10	in	in	ADP
ap-6754	229	11	the	the	DET
ap-6754	229	12	design	design	NOUN
ap-6754	229	13	process	process	NOUN
ap-6754	229	14	.	.	PUNCT
ap-6754	230	1	the	the	DET
ap-6754	230	2	functionally	functionally	ADV
ap-6754	230	3	graded	grade	VERB
ap-6754	230	4	materials	material	NOUN
ap-6754	230	5	,	,	PUNCT
ap-6754	230	6	where	where	SCONJ
ap-6754	230	7	the	the	DET
ap-6754	230	8	excellent	excellent	ADJ
ap-6754	230	9	characteristics	characteristic	NOUN
ap-6754	230	10	of	of	ADP
ap-6754	230	11	ceramic	ceramic	NOUN
ap-6754	230	12	in	in	ADP
ap-6754	230	13	heat	heat	NOUN
ap-6754	230	14	and	and	CCONJ
ap-6754	230	15	corrosive	corrosive	ADJ
ap-6754	230	16	resistances	resistance	NOUN
ap-6754	230	17	combine	combine	VERB
ap-6754	230	18	with	with	ADP
ap-6754	230	19	the	the	DET
ap-6754	230	20	ability	ability	NOUN
ap-6754	230	21	to	to	PART
ap-6754	230	22	absorb	absorb	VERB
ap-6754	230	23	energy	energy	NOUN
ap-6754	230	24	and	and	CCONJ
ap-6754	230	25	plastically	plastically	ADV
ap-6754	230	26	deform	deform	VERB
ap-6754	230	27	and	and	CCONJ
ap-6754	230	28	toughness	toughness	NOUN
ap-6754	230	29	of	of	ADP
ap-6754	230	30	metals	metal	NOUN
ap-6754	230	31	,	,	PUNCT
ap-6754	230	32	are	be	AUX
ap-6754	230	33	outstanding	outstanding	ADJ
ap-6754	230	34	advanced	advanced	ADJ
ap-6754	230	35	materials	material	NOUN
ap-6754	230	36	that	that	PRON
ap-6754	230	37	can	can	AUX
ap-6754	230	38	withstand	withstand	VERB
ap-6754	230	39	large	large	ADJ
ap-6754	230	40	mechanical	mechanical	ADJ
ap-6754	230	41	loads	load	NOUN
ap-6754	230	42	under	under	ADP
ap-6754	230	43	a	a	DET
ap-6754	230	44	high	high	ADJ
ap-6754	230	45	temperature	temperature	NOUN
ap-6754	230	46	.	.	PUNCT
ap-6754	231	1	mechanical	mechanical	ADJ
ap-6754	231	2	information	information	NOUN
ap-6754	231	3	might	might	AUX
ap-6754	231	4	also	also	ADV
ap-6754	231	5	be	be	AUX
ap-6754	231	6	helpful	helpful	ADJ
ap-6754	231	7	to	to	ADP
ap-6754	231	8	the	the	DET
ap-6754	231	9	designers	designer	NOUN
ap-6754	231	10	or	or	CCONJ
ap-6754	231	11	researchers	researcher	NOUN
ap-6754	231	12	in	in	ADP
ap-6754	231	13	the	the	DET
ap-6754	231	14	appropriate	appropriate	ADJ
ap-6754	231	15	selection	selection	NOUN
ap-6754	231	16	of	of	ADP
ap-6754	231	17	functionally	functionally	ADV
ap-6754	231	18	graded	grade	VERB
ap-6754	231	19	materials	material	NOUN
ap-6754	231	20	for	for	ADP
ap-6754	231	21	specific	specific	ADJ
ap-6754	231	22	purposes	purpose	NOUN
ap-6754	231	23	,	,	PUNCT
ap-6754	231	24	for	for	ADP
ap-6754	231	25	instance	instance	NOUN
ap-6754	231	26	,	,	PUNCT
ap-6754	231	27	a	a	DET
ap-6754	231	28	right	right	ADJ
ap-6754	231	29	selection	selection	NOUN
ap-6754	231	30	of	of	ADP
ap-6754	231	31	the	the	DET
ap-6754	231	32	functionally	functionally	ADV
ap-6754	231	33	graded	grade	VERB
ap-6754	231	34	materials	material	NOUN
ap-6754	231	35	for	for	ADP
ap-6754	231	36	the	the	DET
ap-6754	231	37	right	right	ADJ
ap-6754	231	38	conditions	condition	NOUN
ap-6754	231	39	such	such	ADJ
ap-6754	231	40	as	as	ADP
ap-6754	231	41	structures	structure	NOUN
ap-6754	231	42	to	to	PART
ap-6754	231	43	be	be	AUX
ap-6754	231	44	working	work	VERB
ap-6754	231	45	under	under	ADP
ap-6754	231	46	high	high	ADJ
ap-6754	231	47	temperature	temperature	NOUN
ap-6754	231	48	conditions	condition	NOUN
ap-6754	231	49	is	be	AUX
ap-6754	231	50	of	of	ADP
ap-6754	231	51	course	course	NOUN
ap-6754	231	52	a	a	DET
ap-6754	231	53	great	great	ADJ
ap-6754	231	54	benefit	benefit	NOUN
ap-6754	231	55	in	in	ADP
ap-6754	231	56	practice	practice	NOUN
ap-6754	231	57	.	.	PUNCT
ap-6754	232	1	references	reference	NOUN
ap-6754	232	2	[	[	X
ap-6754	232	3	1	1	NUM
ap-6754	232	4	]	]	X
ap-6754	232	5	n.	n.	NOUN
ap-6754	232	6	wattanasakulpong	wattanasakulpong	PROPN
ap-6754	232	7	,	,	PUNCT
ap-6754	232	8	g.	g.	PROPN
ap-6754	232	9	b.	b.	PROPN
ap-6754	232	10	prusty	prusty	PROPN
ap-6754	232	11	,	,	PUNCT
ap-6754	232	12	d.	d.	PROPN
ap-6754	232	13	w.	w.	PROPN
ap-6754	232	14	kelly	kelly	PROPN
ap-6754	232	15	.	.	PUNCT
ap-6754	233	1	free	free	ADJ
ap-6754	233	2	and	and	CCONJ
ap-6754	233	3	forced	force	VERB
ap-6754	233	4	vibration	vibration	NOUN
ap-6754	233	5	analysis	analysis	NOUN
ap-6754	233	6	using	use	VERB
ap-6754	233	7	improved	improve	VERB
ap-6754	233	8	third	third	ADJ
ap-6754	233	9	-	-	PUNCT
ap-6754	233	10	order	order	NOUN
ap-6754	233	11	shear	shear	NOUN
ap-6754	233	12	deformation	deformation	NOUN
ap-6754	233	13	theory	theory	NOUN
ap-6754	233	14	for	for	ADP
ap-6754	233	15	functionally	functionally	ADV
ap-6754	233	16	graded	grade	VERB
ap-6754	233	17	plates	plate	NOUN
ap-6754	233	18	under	under	ADP
ap-6754	233	19	high	high	ADJ
ap-6754	233	20	temperature	temperature	NOUN
ap-6754	233	21	loading	loading	NOUN
ap-6754	233	22	.	.	PUNCT
ap-6754	234	1	journal	journal	PROPN
ap-6754	234	2	of	of	ADP
ap-6754	234	3	sandwich	sandwich	NOUN
ap-6754	234	4	structures	structure	NOUN
ap-6754	234	5	&	&	CCONJ
ap-6754	234	6	materials	material	NOUN
ap-6754	234	7	15(5):583	15(5):583	PROPN
ap-6754	234	8	–	–	PUNCT
ap-6754	234	9	606	606	NUM
ap-6754	234	10	,	,	PUNCT
ap-6754	234	11	2013	2013	NUM
ap-6754	234	12	.	.	PUNCT
ap-6754	235	1	doi:10.1177/1099636213495751	doi:10.1177/1099636213495751	X
ap-6754	235	2	.	.	PUNCT
ap-6754	236	1	[	[	X
ap-6754	236	2	2	2	NUM
ap-6754	236	3	]	]	X
ap-6754	236	4	n.	n.	NOUN
ap-6754	236	5	wattanasakulpong	wattanasakulpong	PROPN
ap-6754	236	6	,	,	PUNCT
ap-6754	236	7	b.	b.	PROPN
ap-6754	236	8	gangadhara	gangadhara	PROPN
ap-6754	236	9	prusty	prusty	PROPN
ap-6754	236	10	,	,	PUNCT
ap-6754	236	11	d.	d.	PROPN
ap-6754	236	12	w.	w.	PROPN
ap-6754	236	13	kelly	kelly	PROPN
ap-6754	236	14	.	.	PUNCT
ap-6754	237	1	thermal	thermal	ADJ
ap-6754	237	2	buckling	buckling	NOUN
ap-6754	237	3	and	and	CCONJ
ap-6754	237	4	elastic	elastic	ADJ
ap-6754	237	5	vibration	vibration	NOUN
ap-6754	237	6	of	of	ADP
ap-6754	237	7	third	third	ADJ
ap-6754	237	8	-	-	PUNCT
ap-6754	237	9	order	order	NOUN
ap-6754	237	10	shear	shear	NOUN
ap-6754	237	11	deformable	deformable	ADJ
ap-6754	237	12	functionally	functionally	ADV
ap-6754	237	13	graded	grade	VERB
ap-6754	237	14	beams	beam	NOUN
ap-6754	237	15	.	.	PUNCT
ap-6754	238	1	international	international	ADJ
ap-6754	238	2	journal	journal	PROPN
ap-6754	238	3	of	of	ADP
ap-6754	238	4	mechanical	mechanical	PROPN
ap-6754	238	5	sciences	science	NOUN
ap-6754	238	6	53(9):734	53(9):734	NUM
ap-6754	238	7	–	–	PUNCT
ap-6754	238	8	743	743	NUM
ap-6754	238	9	,	,	PUNCT
ap-6754	238	10	2011	2011	NUM
ap-6754	238	11	.	.	PUNCT
ap-6754	239	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	239	2	/	/	SYM
ap-6754	239	3	j.ijmecsci.2011.06.005	j.ijmecsci.2011.06.005	PROPN
ap-6754	239	4	.	.	PUNCT
ap-6754	240	1	[	[	X
ap-6754	240	2	3	3	X
ap-6754	240	3	]	]	PUNCT
ap-6754	240	4	x.-l	x.-l	PROPN
ap-6754	240	5	.	.	PUNCT
ap-6754	241	1	huang	huang	PROPN
ap-6754	241	2	,	,	PUNCT
ap-6754	241	3	h.-s	h.-s	PROPN
ap-6754	241	4	.	.	PUNCT
ap-6754	242	1	shen	shen	PROPN
ap-6754	242	2	.	.	PUNCT
ap-6754	243	1	nonlinear	nonlinear	ADJ
ap-6754	243	2	vibration	vibration	NOUN
ap-6754	243	3	and	and	CCONJ
ap-6754	243	4	dynamic	dynamic	ADJ
ap-6754	243	5	response	response	NOUN
ap-6754	243	6	of	of	ADP
ap-6754	243	7	functionally	functionally	ADV
ap-6754	243	8	graded	grade	VERB
ap-6754	243	9	plates	plate	NOUN
ap-6754	243	10	in	in	ADP
ap-6754	243	11	thermal	thermal	ADJ
ap-6754	243	12	environments	environment	NOUN
ap-6754	243	13	.	.	PUNCT
ap-6754	244	1	international	international	ADJ
ap-6754	244	2	journal	journal	NOUN
ap-6754	244	3	of	of	ADP
ap-6754	244	4	solids	solid	NOUN
ap-6754	244	5	and	and	CCONJ
ap-6754	244	6	structures	structure	NOUN
ap-6754	244	7	41(9):2403	41(9):2403	NUM
ap-6754	244	8	–	–	PUNCT
ap-6754	244	9	2427	2427	NUM
ap-6754	244	10	,	,	PUNCT
ap-6754	244	11	2004	2004	NUM
ap-6754	244	12	.	.	PUNCT
ap-6754	245	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	245	2	/	/	SYM
ap-6754	245	3	j.ijsolstr.2003.11.012	j.ijsolstr.2003.11.012	PROPN
ap-6754	245	4	.	.	PUNCT
ap-6754	246	1	[	[	X
ap-6754	246	2	4	4	X
ap-6754	246	3	]	]	PUNCT
ap-6754	246	4	j.	j.	PROPN
ap-6754	246	5	yang	yang	PROPN
ap-6754	246	6	,	,	PUNCT
ap-6754	246	7	h.-s	h.-s	PROPN
ap-6754	246	8	.	.	PUNCT
ap-6754	247	1	shen	shen	PROPN
ap-6754	247	2	.	.	PUNCT
ap-6754	248	1	nonlinear	nonlinear	ADJ
ap-6754	248	2	bending	bend	VERB
ap-6754	248	3	analysis	analysis	NOUN
ap-6754	248	4	of	of	ADP
ap-6754	248	5	shear	shear	NOUN
ap-6754	248	6	deformable	deformable	ADJ
ap-6754	248	7	functionally	functionally	ADV
ap-6754	248	8	graded	grade	VERB
ap-6754	248	9	plates	plate	NOUN
ap-6754	248	10	subjected	subject	VERB
ap-6754	248	11	to	to	ADP
ap-6754	248	12	thermo	thermo	NOUN
ap-6754	248	13	-	-	PUNCT
ap-6754	248	14	mechanical	mechanical	ADJ
ap-6754	248	15	loads	load	NOUN
ap-6754	248	16	under	under	ADP
ap-6754	248	17	various	various	ADJ
ap-6754	248	18	boundary	boundary	ADJ
ap-6754	248	19	conditions	condition	NOUN
ap-6754	248	20	.	.	PUNCT
ap-6754	249	1	composites	composite	VERB
ap-6754	249	2	part	part	NOUN
ap-6754	249	3	b	b	NOUN
ap-6754	249	4	:	:	PUNCT
ap-6754	249	5	engineering	engineer	VERB
ap-6754	249	6	34(2):103	34(2):103	NUM
ap-6754	249	7	–	–	PUNCT
ap-6754	249	8	115	115	NUM
ap-6754	249	9	,	,	PUNCT
ap-6754	249	10	2003	2003	NUM
ap-6754	249	11	.	.	PUNCT
ap-6754	250	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	250	2	/	/	SYM
ap-6754	250	3	s1359	s1359	PROPN
ap-6754	250	4	-	-	PUNCT
ap-6754	250	5	8368(02)00083	8368(02)00083	NOUN
ap-6754	250	6	-	-	PUNCT
ap-6754	250	7	5	5	NUM
ap-6754	250	8	.	.	PUNCT
ap-6754	251	1	[	[	X
ap-6754	251	2	5	5	X
ap-6754	251	3	]	]	PUNCT
ap-6754	251	4	t.	t.	PROPN
ap-6754	251	5	q.	q.	PROPN
ap-6754	251	6	bui	bui	PROPN
ap-6754	251	7	,	,	PUNCT
ap-6754	251	8	t.	t.	PROPN
ap-6754	251	9	v.	v.	PROPN
ap-6754	251	10	do	do	VERB
ap-6754	251	11	,	,	PUNCT
ap-6754	251	12	l.	l.	PROPN
ap-6754	251	13	h.	h.	PROPN
ap-6754	251	14	t.	t.	PROPN
ap-6754	251	15	ton	ton	PROPN
ap-6754	251	16	,	,	PUNCT
ap-6754	251	17	et	et	PROPN
ap-6754	251	18	al	al	PROPN
ap-6754	251	19	.	.	PROPN
ap-6754	252	1	on	on	ADP
ap-6754	252	2	the	the	DET
ap-6754	252	3	high	high	ADJ
ap-6754	252	4	temperature	temperature	NOUN
ap-6754	252	5	mechanical	mechanical	ADJ
ap-6754	252	6	behaviors	behavior	NOUN
ap-6754	252	7	analysis	analysis	NOUN
ap-6754	252	8	of	of	ADP
ap-6754	252	9	heated	heated	ADJ
ap-6754	252	10	functionally	functionally	ADV
ap-6754	252	11	graded	grade	VERB
ap-6754	252	12	plates	plate	NOUN
ap-6754	252	13	using	use	VERB
ap-6754	252	14	fem	fem	NOUN
ap-6754	252	15	and	and	CCONJ
ap-6754	252	16	a	a	DET
ap-6754	252	17	new	new	ADJ
ap-6754	252	18	third	third	ADJ
ap-6754	252	19	-	-	PUNCT
ap-6754	252	20	order	order	NOUN
ap-6754	252	21	shear	shear	NOUN
ap-6754	252	22	deformation	deformation	NOUN
ap-6754	252	23	plate	plate	NOUN
ap-6754	252	24	theory	theory	NOUN
ap-6754	252	25	.	.	PUNCT
ap-6754	253	1	composites	composite	VERB
ap-6754	253	2	part	part	NOUN
ap-6754	253	3	b	b	NOUN
ap-6754	253	4	:	:	PUNCT
ap-6754	253	5	engineering	engineer	VERB
ap-6754	253	6	92:218	92:218	NUM
ap-6754	253	7	–	–	PUNCT
ap-6754	253	8	241	241	NUM
ap-6754	253	9	,	,	PUNCT
ap-6754	253	10	2016	2016	NUM
ap-6754	253	11	.	.	PUNCT
ap-6754	254	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	254	2	/	/	SYM
ap-6754	254	3	j.compositesb.2016.02.048	j.compositesb.2016.02.048	PROPN
ap-6754	254	4	.	.	PUNCT
ap-6754	255	1	[	[	X
ap-6754	255	2	6	6	NUM
ap-6754	255	3	]	]	PUNCT
ap-6754	255	4	h.	h.	PROPN
ap-6754	255	5	l.	l.	PROPN
ap-6754	255	6	ton	ton	PROPN
ap-6754	255	7	-	-	PROPN
ap-6754	255	8	that	that	PRON
ap-6754	255	9	,	,	PUNCT
ap-6754	255	10	h.	h.	PROPN
ap-6754	255	11	nguyen	nguyen	PROPN
ap-6754	255	12	-	-	PUNCT
ap-6754	255	13	van	van	PROPN
ap-6754	255	14	,	,	PUNCT
ap-6754	255	15	t.	t.	PROPN
ap-6754	255	16	chau	chau	PROPN
ap-6754	255	17	-	-	PUNCT
ap-6754	255	18	dinh	dinh	NOUN
ap-6754	255	19	.	.	PUNCT
ap-6754	256	1	an	an	DET
ap-6754	256	2	improved	improved	ADJ
ap-6754	256	3	four	four	NUM
ap-6754	256	4	-	-	PUNCT
ap-6754	256	5	node	node	ADJ
ap-6754	256	6	element	element	NOUN
ap-6754	256	7	for	for	ADP
ap-6754	256	8	analysis	analysis	NOUN
ap-6754	256	9	of	of	ADP
ap-6754	256	10	composite	composite	ADJ
ap-6754	256	11	plate	plate	NOUN
ap-6754	256	12	/	/	SYM
ap-6754	256	13	shell	shell	NOUN
ap-6754	256	14	structures	structure	NOUN
ap-6754	256	15	based	base	VERB
ap-6754	256	16	on	on	ADP
ap-6754	256	17	twice	twice	ADJ
ap-6754	256	18	interpolation	interpolation	NOUN
ap-6754	256	19	strategy	strategy	NOUN
ap-6754	256	20	.	.	PUNCT
ap-6754	257	1	international	international	ADJ
ap-6754	257	2	journal	journal	NOUN
ap-6754	257	3	of	of	ADP
ap-6754	257	4	computational	computational	ADJ
ap-6754	257	5	methods	method	NOUN
ap-6754	257	6	17(06):1950020	17(06):1950020	ADP
ap-6754	257	7	,	,	PUNCT
ap-6754	257	8	2020	2020	NUM
ap-6754	257	9	.	.	PUNCT
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ap-6754	260	14	twice	twice	ADJ
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ap-6754	260	16	strategy	strategy	NOUN
ap-6754	260	17	.	.	PUNCT
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ap-6754	261	12	.	.	PUNCT
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ap-6754	263	15	t.	t.	PROPN
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ap-6754	263	17	-	-	PUNCT
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ap-6754	263	44	shear	shear	NOUN
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ap-6754	264	10	,	,	PUNCT
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ap-6754	264	12	.	.	PUNCT
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ap-6754	266	6	-	-	PUNCT
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ap-6754	266	8	,	,	PUNCT
ap-6754	266	9	h.	h.	PROPN
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ap-6754	266	14	,	,	PUNCT
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ap-6754	269	11	.	.	PUNCT
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ap-6754	270	4	-	-	PUNCT
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ap-6754	270	6	-	-	PUNCT
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ap-6754	270	8	-	-	SYM
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ap-6754	271	9	.	.	PUNCT
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ap-6754	272	13	on	on	ADP
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ap-6754	272	16	third	third	ADJ
ap-6754	272	17	-	-	PUNCT
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ap-6754	272	22	.	.	PUNCT
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ap-6754	273	10	,	,	PUNCT
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ap-6754	273	12	.	.	PUNCT
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ap-6754	274	4	.	.	PUNCT
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ap-6754	280	8	.	.	PUNCT
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ap-6754	288	4	:	:	PUNCT
ap-6754	288	5	engineering	engineering	NOUN
ap-6754	288	6	150:165	150:165	NUM
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ap-6754	288	8	183	183	NUM
ap-6754	288	9	,	,	PUNCT
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ap-6754	288	11	.	.	PUNCT
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ap-6754	292	1	composites	composite	VERB
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ap-6754	292	4	:	:	PUNCT
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ap-6754	292	9	,	,	PUNCT
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ap-6754	292	11	.	.	PUNCT
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ap-6754	295	2	no	no	INTJ
ap-6754	295	3	.	.	PUNCT
ap-6754	296	1	6/2020	6/2020	NUM
ap-6754	296	2	a	a	DET
ap-6754	296	3	combined	combine	VERB
ap-6754	296	4	strain	strain	NOUN
ap-6754	296	5	element	element	NOUN
ap-6754	296	6	to	to	ADP
ap-6754	296	7	functionally	functionally	ADV
ap-6754	296	8	graded	grade	VERB
ap-6754	296	9	structures	structure	NOUN
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ap-6754	296	11	.	.	PUNCT
ap-6754	296	12	.	.	PUNCT
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ap-6754	297	3	]	]	X
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ap-6754	297	7	n.	n.	PROPN
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ap-6754	297	9	,	,	PUNCT
ap-6754	297	10	e.	e.	PROPN
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ap-6754	298	3	strain	strain	NOUN
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ap-6754	298	9	-	-	PUNCT
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ap-6754	298	12	doubly	doubly	ADV
ap-6754	298	13	-	-	PUNCT
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ap-6754	298	15	sandwich	sandwich	NOUN
ap-6754	298	16	shells	shell	NOUN
ap-6754	298	17	using	use	VERB
ap-6754	298	18	higher	high	ADJ
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ap-6754	298	21	equivalent	equivalent	ADJ
ap-6754	298	22	single	single	ADJ
ap-6754	298	23	layer	layer	NOUN
ap-6754	298	24	theory	theory	NOUN
ap-6754	298	25	.	.	PUNCT
ap-6754	299	1	composite	composite	ADJ
ap-6754	299	2	structures	structure	NOUN
ap-6754	299	3	119:67	119:67	NUM
ap-6754	299	4	–	–	PUNCT
ap-6754	299	5	89	89	NUM
ap-6754	299	6	,	,	PUNCT
ap-6754	299	7	2015	2015	NUM
ap-6754	299	8	.	.	PUNCT
ap-6754	300	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	300	2	/	/	SYM
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ap-6754	300	4	.	.	PUNCT
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ap-6754	302	14	-	-	PUNCT
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ap-6754	302	16	meridian	meridian	NOUN
ap-6754	302	17	:	:	PUNCT
ap-6754	302	18	a	a	DET
ap-6754	302	19	2	2	NUM
ap-6754	302	20	-	-	PUNCT
ap-6754	302	21	d	d	NOUN
ap-6754	302	22	gdq	gdq	NOUN
ap-6754	302	23	solution	solution	NOUN
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ap-6754	303	6	53:446	53:446	NUM
ap-6754	303	7	–	–	PUNCT
ap-6754	303	8	470	470	NUM
ap-6754	303	9	,	,	PUNCT
ap-6754	303	10	2011	2011	NUM
ap-6754	303	11	.	.	PUNCT
ap-6754	304	1	doi:10.1016	doi:10.1016	PROPN
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ap-6754	304	4	.	.	PUNCT
ap-6754	305	1	[	[	X
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ap-6754	305	4	f.	f.	PROPN
ap-6754	305	5	tornabene	tornabene	PROPN
ap-6754	305	6	.	.	PUNCT
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ap-6754	306	2	vibration	vibration	NOUN
ap-6754	306	3	analysis	analysis	NOUN
ap-6754	306	4	of	of	ADP
ap-6754	306	5	functionally	functionally	ADV
ap-6754	306	6	graded	grade	VERB
ap-6754	306	7	conical	conical	NOUN
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ap-6754	306	9	cylindrical	cylindrical	ADJ
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ap-6754	306	12	annular	annular	ADJ
ap-6754	306	13	plate	plate	NOUN
ap-6754	306	14	structures	structure	NOUN
ap-6754	306	15	with	with	ADP
ap-6754	306	16	a	a	DET
ap-6754	306	17	four	four	NUM
ap-6754	306	18	-	-	PUNCT
ap-6754	306	19	parameter	parameter	NOUN
ap-6754	306	20	power	power	NOUN
ap-6754	306	21	-	-	PUNCT
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ap-6754	306	23	distribution	distribution	NOUN
ap-6754	306	24	.	.	PUNCT
ap-6754	307	1	computer	computer	NOUN
ap-6754	307	2	methods	method	NOUN
ap-6754	307	3	in	in	ADP
ap-6754	307	4	applied	applied	ADJ
ap-6754	307	5	mechanics	mechanic	NOUN
ap-6754	307	6	and	and	CCONJ
ap-6754	307	7	engineering	engineering	NOUN
ap-6754	307	8	198:2911	198:2911	NUM
ap-6754	307	9	–	–	PUNCT
ap-6754	307	10	2935	2935	NUM
ap-6754	307	11	,	,	PUNCT
ap-6754	307	12	2009	2009	NUM
ap-6754	307	13	.	.	PUNCT
ap-6754	308	1	doi:10.1016	doi:10.1016	PROPN
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ap-6754	308	4	.	.	PUNCT
ap-6754	309	1	[	[	X
ap-6754	309	2	19	19	NUM
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ap-6754	310	4	imperfect	imperfect	ADJ
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ap-6754	310	7	power	power	NOUN
ap-6754	310	8	law	law	NOUN
ap-6754	310	9	functionally	functionally	ADV
ap-6754	310	10	graded	grade	VERB
ap-6754	310	11	beams	beam	NOUN
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ap-6754	311	1	steel	steel	NOUN
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ap-6754	311	3	composite	composite	ADJ
ap-6754	311	4	structures	structure	NOUN
ap-6754	311	5	30:603	30:603	NUM
ap-6754	311	6	–	–	PUNCT
ap-6754	311	7	615	615	NUM
ap-6754	311	8	,	,	PUNCT
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ap-6754	311	10	.	.	PUNCT
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ap-6754	314	7	resting	rest	VERB
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ap-6754	315	8	.	.	PUNCT
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ap-6754	316	6	-	-	PUNCT
ap-6754	316	7	3579	3579	NUM
ap-6754	316	8	-	-	SYM
ap-6754	316	9	2	2	NUM
ap-6754	316	10	.	.	PUNCT
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ap-6754	318	14	.	.	PUNCT
ap-6754	319	1	international	international	ADJ
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ap-6754	319	4	pressure	pressure	NOUN
ap-6754	319	5	vessels	vessel	NOUN
ap-6754	319	6	and	and	CCONJ
ap-6754	319	7	piping	pipe	VERB
ap-6754	319	8	84:527	84:527	NUM
ap-6754	319	9	–	–	PUNCT
ap-6754	319	10	535	535	NUM
ap-6754	319	11	,	,	PUNCT
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ap-6754	319	13	.	.	PUNCT
ap-6754	320	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	320	2	/	/	SYM
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ap-6754	321	1	[	[	X
ap-6754	321	2	22	22	NUM
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ap-6754	322	18	fsdt	fsdt	NOUN
ap-6754	322	19	via	via	ADP
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ap-6754	322	21	singular	singular	ADJ
ap-6754	322	22	convolution	convolution	NOUN
ap-6754	322	23	method	method	NOUN
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ap-6754	323	1	composites	composite	VERB
ap-6754	323	2	part	part	NOUN
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ap-6754	323	4	:	:	PUNCT
ap-6754	323	5	engineering	engineer	VERB
ap-6754	323	6	111:45	111:45	NUM
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ap-6754	323	11	.	.	PUNCT
ap-6754	324	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	324	2	/	/	SYM
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ap-6754	325	2	23	23	NUM
ap-6754	325	3	]	]	PUNCT
ap-6754	325	4	ö.	ö.	PROPN
ap-6754	325	5	civalek	civalek	PROPN
ap-6754	325	6	,	,	PUNCT
ap-6754	325	7	m.	m.	NOUN
ap-6754	325	8	avcar	avcar	PROPN
ap-6754	325	9	.	.	PUNCT
ap-6754	326	1	free	free	ADJ
ap-6754	326	2	vibration	vibration	NOUN
ap-6754	326	3	and	and	CCONJ
ap-6754	326	4	buckling	buckle	VERB
ap-6754	326	5	analyses	analysis	NOUN
ap-6754	326	6	of	of	ADP
ap-6754	326	7	cnt	cnt	PROPN
ap-6754	326	8	reinforced	reinforce	VERB
ap-6754	326	9	laminated	laminate	VERB
ap-6754	326	10	non	non	ADJ
ap-6754	326	11	-	-	ADJ
ap-6754	326	12	rectangular	rectangular	ADJ
ap-6754	326	13	plates	plate	NOUN
ap-6754	326	14	by	by	ADP
ap-6754	326	15	discrete	discrete	ADJ
ap-6754	326	16	singular	singular	ADJ
ap-6754	326	17	convolution	convolution	NOUN
ap-6754	326	18	method	method	NOUN
ap-6754	326	19	.	.	PUNCT
ap-6754	327	1	engineering	engineering	NOUN
ap-6754	327	2	with	with	ADP
ap-6754	327	3	computers	computer	NOUN
ap-6754	327	4	pp	pp	ADV
ap-6754	327	5	.	.	PUNCT
ap-6754	328	1	1	1	NUM
ap-6754	328	2	–	–	SYM
ap-6754	328	3	33	33	NUM
ap-6754	328	4	,	,	PUNCT
ap-6754	328	5	2020	2020	NUM
ap-6754	328	6	.	.	PUNCT
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ap-6754	329	2	/	/	SYM
ap-6754	329	3	s00366	s00366	NUM
ap-6754	329	4	-	-	PUNCT
ap-6754	329	5	020	020	NUM
ap-6754	329	6	-	-	PUNCT
ap-6754	329	7	01168	01168	NUM
ap-6754	329	8	-	-	SYM
ap-6754	329	9	8	8	NUM
ap-6754	329	10	.	.	PUNCT
ap-6754	330	1	[	[	X
ap-6754	330	2	24	24	NUM
ap-6754	330	3	]	]	PUNCT
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ap-6754	331	2	four	four	NUM
ap-6754	331	3	-	-	PUNCT
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ap-6754	331	6	plate	plate	NOUN
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ap-6754	331	8	for	for	ADP
ap-6754	331	9	dynamic	dynamic	ADJ
ap-6754	331	10	analysis	analysis	NOUN
ap-6754	331	11	of	of	ADP
ap-6754	331	12	fg	fg	ADJ
ap-6754	331	13	-	-	ADJ
ap-6754	331	14	sandwich	sandwich	NOUN
ap-6754	331	15	plates	plate	NOUN
ap-6754	331	16	under	under	ADP
ap-6754	331	17	various	various	ADJ
ap-6754	331	18	boundary	boundary	ADJ
ap-6754	331	19	conditions	condition	NOUN
ap-6754	331	20	.	.	PUNCT
ap-6754	332	1	steel	steel	NOUN
ap-6754	332	2	and	and	CCONJ
ap-6754	332	3	composite	composite	ADJ
ap-6754	332	4	structures	structure	NOUN
ap-6754	332	5	36:355	36:355	NUM
ap-6754	332	6	–	–	PUNCT
ap-6754	332	7	367	367	NUM
ap-6754	332	8	,	,	PUNCT
ap-6754	332	9	2020	2020	NUM
ap-6754	332	10	.	.	PUNCT
ap-6754	333	1	doi:10.12989	doi:10.12989	PROPN
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ap-6754	333	4	.	.	PUNCT
ap-6754	334	1	[	[	X
ap-6754	334	2	25	25	NUM
ap-6754	334	3	]	]	PUNCT
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ap-6754	334	5	rahmani	rahmani	PROPN
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ap-6754	334	7	k.	k.	PROPN
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ap-6754	334	9	,	,	PUNCT
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ap-6754	334	12	,	,	PUNCT
ap-6754	334	13	et	et	PROPN
ap-6754	334	14	al	al	PROPN
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ap-6754	334	18	boundary	boundary	ADJ
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ap-6754	334	20	on	on	ADP
ap-6754	334	21	the	the	DET
ap-6754	334	22	bending	bending	NOUN
ap-6754	334	23	and	and	CCONJ
ap-6754	334	24	free	free	ADJ
ap-6754	334	25	vibration	vibration	NOUN
ap-6754	334	26	behavior	behavior	NOUN
ap-6754	334	27	of	of	ADP
ap-6754	334	28	fgm	fgm	PROPN
ap-6754	334	29	sandwich	sandwich	NOUN
ap-6754	334	30	plates	plate	NOUN
ap-6754	334	31	using	use	VERB
ap-6754	334	32	a	a	DET
ap-6754	334	33	four	four	NUM
ap-6754	334	34	-	-	PUNCT
ap-6754	334	35	unknown	unknown	ADJ
ap-6754	334	36	refined	refined	ADJ
ap-6754	334	37	integral	integral	ADJ
ap-6754	334	38	plate	plate	NOUN
ap-6754	334	39	theory	theory	NOUN
ap-6754	334	40	.	.	PUNCT
ap-6754	335	1	computers	computer	NOUN
ap-6754	335	2	and	and	CCONJ
ap-6754	335	3	concrete	concrete	ADJ
ap-6754	335	4	25:225	25:225	NUM
ap-6754	335	5	–	–	PUNCT
ap-6754	335	6	244	244	NUM
ap-6754	335	7	,	,	PUNCT
ap-6754	335	8	2020	2020	NUM
ap-6754	335	9	.	.	PUNCT
ap-6754	336	1	doi:10.12989	doi:10.12989	PROPN
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ap-6754	337	2	.	.	PUNCT
ap-6754	338	1	[	[	X
ap-6754	338	2	26	26	NUM
ap-6754	338	3	]	]	PUNCT
ap-6754	338	4	a.	a.	NOUN
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ap-6754	338	6	,	,	PUNCT
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ap-6754	338	8	a.	a.	NOUN
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ap-6754	338	16	.	.	PUNCT
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ap-6754	339	2	analysis	analysis	NOUN
ap-6754	339	3	of	of	ADP
ap-6754	339	4	functionally	functionally	ADV
ap-6754	339	5	graded	grade	VERB
ap-6754	339	6	porous	porous	ADJ
ap-6754	339	7	plates	plate	NOUN
ap-6754	339	8	via	via	ADP
ap-6754	339	9	a	a	DET
ap-6754	339	10	refined	refined	ADJ
ap-6754	339	11	shear	shear	NOUN
ap-6754	339	12	deformation	deformation	NOUN
ap-6754	339	13	theory	theory	NOUN
ap-6754	339	14	.	.	PUNCT
ap-6754	340	1	computers	computer	NOUN
ap-6754	340	2	and	and	CCONJ
ap-6754	340	3	concrete	concrete	ADJ
ap-6754	340	4	26:63	26:63	NUM
ap-6754	340	5	–	–	PUNCT
ap-6754	340	6	74	74	NUM
ap-6754	340	7	,	,	PUNCT
ap-6754	340	8	2020	2020	NUM
ap-6754	340	9	.	.	PUNCT
ap-6754	340	10	doi:10.12989	doi:10.12989	PROPN
ap-6754	340	11	/	/	SYM
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ap-6754	340	13	.	.	PUNCT
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ap-6754	341	2	27	27	NUM
ap-6754	341	3	]	]	X
ap-6754	341	4	h.	h.	PROPN
ap-6754	341	5	l.	l.	PROPN
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ap-6754	341	7	-	-	PUNCT
ap-6754	341	8	that	that	PRON
ap-6754	341	9	.	.	PUNCT
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ap-6754	342	6	quadrilateral	quadrilateral	ADJ
ap-6754	342	7	element	element	NOUN
ap-6754	342	8	(	(	PUNCT
ap-6754	342	9	iq8	iq8	NOUN
ap-6754	342	10	)	)	PUNCT
ap-6754	342	11	using	use	VERB
ap-6754	342	12	twice	twice	ADJ
ap-6754	342	13	-	-	PUNCT
ap-6754	342	14	interpolation	interpolation	NOUN
ap-6754	342	15	strategy	strategy	NOUN
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ap-6754	342	19	fracture	fracture	NOUN
ap-6754	342	20	mechanics	mechanic	NOUN
ap-6754	342	21	.	.	PUNCT
ap-6754	343	1	engineering	engineer	VERB
ap-6754	343	2	solid	solid	ADJ
ap-6754	343	3	mechanics	mechanic	NOUN
ap-6754	343	4	8:323	8:323	NUM
ap-6754	343	5	–	–	PUNCT
ap-6754	343	6	336	336	NUM
ap-6754	343	7	,	,	PUNCT
ap-6754	343	8	2020	2020	NUM
ap-6754	343	9	.	.	PUNCT
ap-6754	344	1	doi:10.5267	doi:10.5267	NOUN
ap-6754	344	2	/	/	SYM
ap-6754	344	3	j.esm.2020.3.005	j.esm.2020.3.005	NOUN
ap-6754	344	4	.	.	PUNCT
ap-6754	345	1	[	[	X
ap-6754	345	2	28	28	NUM
ap-6754	345	3	]	]	X
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ap-6754	345	12	k.	k.	PROPN
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ap-6754	346	1	a	a	DET
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ap-6754	346	3	review	review	NOUN
ap-6754	346	4	of	of	ADP
ap-6754	346	5	recent	recent	ADJ
ap-6754	346	6	research	research	NOUN
ap-6754	346	7	on	on	ADP
ap-6754	346	8	functionally	functionally	ADV
ap-6754	346	9	graded	grade	VERB
ap-6754	346	10	plates	plate	NOUN
ap-6754	346	11	.	.	PUNCT
ap-6754	347	1	composite	composite	ADJ
ap-6754	347	2	structures	structure	NOUN
ap-6754	347	3	96:833	96:833	NUM
ap-6754	347	4	–	–	PUNCT
ap-6754	347	5	849	849	NUM
ap-6754	347	6	,	,	PUNCT
ap-6754	347	7	2013	2013	NUM
ap-6754	347	8	.	.	PUNCT
ap-6754	348	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	348	2	/	/	SYM
ap-6754	348	3	j.compstruct.2012.09.001	j.compstruct.2012.09.001	PROPN
ap-6754	348	4	.	.	PUNCT
ap-6754	349	1	[	[	X
ap-6754	349	2	29	29	NUM
ap-6754	349	3	]	]	PUNCT
ap-6754	349	4	k.	k.	PROPN
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ap-6754	349	6	,	,	PUNCT
ap-6754	349	7	p.-s	p.-s	PROPN
ap-6754	349	8	.	.	PUNCT
ap-6754	350	1	lee	lee	PROPN
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ap-6754	350	4	.	.	PUNCT
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ap-6754	352	2	mitc4	mitc4	PROPN
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ap-6754	352	5	element	element	NOUN
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ap-6754	352	8	performance	performance	NOUN
ap-6754	352	9	.	.	PUNCT
ap-6754	353	1	computers	computer	NOUN
ap-6754	353	2	&	&	CCONJ
ap-6754	353	3	structures	structure	NOUN
ap-6754	353	4	169:57	169:57	NUM
ap-6754	353	5	–	–	PUNCT
ap-6754	353	6	68	68	NUM
ap-6754	353	7	,	,	PUNCT
ap-6754	353	8	2016	2016	NUM
ap-6754	353	9	.	.	PUNCT
ap-6754	354	1	doi:10.1016	doi:10.1016	PROPN
ap-6754	354	2	/	/	SYM
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ap-6754	354	4	.	.	PUNCT
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ap-6754	355	2	30	30	NUM
ap-6754	355	3	]	]	X
ap-6754	355	4	h.	h.	PROPN
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ap-6754	355	6	-	-	PUNCT
ap-6754	355	7	van	van	PROPN
ap-6754	355	8	,	,	PUNCT
ap-6754	355	9	n.	n.	PROPN
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ap-6754	355	14	t.	t.	PROPN
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ap-6754	355	18	.	.	PUNCT
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ap-6754	356	6	-	-	PUNCT
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ap-6754	356	8	quadrilateral	quadrilateral	ADJ
ap-6754	356	9	element	element	NOUN
ap-6754	356	10	using	use	VERB
ap-6754	356	11	stabilized	stabilize	VERB
ap-6754	356	12	nodal	nodal	ADJ
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ap-6754	356	14	for	for	ADP
ap-6754	356	15	laminated	laminated	ADJ
ap-6754	356	16	plates	plate	NOUN
ap-6754	356	17	.	.	PUNCT
ap-6754	357	1	computers	computer	NOUN
ap-6754	357	2	,	,	PUNCT
ap-6754	357	3	materials	material	NOUN
ap-6754	357	4	&	&	CCONJ
ap-6754	357	5	continua	continua	PROPN
ap-6754	357	6	6:159	6:159	NUM
ap-6754	357	7	–	–	PUNCT
ap-6754	357	8	176	176	NUM
ap-6754	357	9	,	,	PUNCT
ap-6754	357	10	2007	2007	NUM
ap-6754	357	11	.	.	PUNCT
ap-6754	358	1	doi:10.3970	doi:10.3970	PROPN
ap-6754	358	2	/	/	SYM
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ap-6754	358	4	.	.	PUNCT
ap-6754	359	1	[	[	X
ap-6754	359	2	31	31	NUM
ap-6754	359	3	]	]	PUNCT
ap-6754	359	4	k.-j	k.-j	PROPN
ap-6754	359	5	.	.	PUNCT
ap-6754	360	1	bathe	bathe	PROPN
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ap-6754	360	3	e.	e.	PROPN
ap-6754	360	4	n.	n.	PROPN
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ap-6754	361	4	general	general	ADJ
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ap-6754	361	7	-	-	PUNCT
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ap-6754	361	11	mixed	mixed	ADJ
ap-6754	361	12	interpolation	interpolation	NOUN
ap-6754	361	13	of	of	ADP
ap-6754	361	14	tensorial	tensorial	ADJ
ap-6754	361	15	components	component	NOUN
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ap-6754	362	1	international	international	ADJ
ap-6754	362	2	journal	journal	PROPN
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ap-6754	362	7	engineering	engineering	NOUN
ap-6754	362	8	22:697	22:697	NUM
ap-6754	362	9	–	–	PUNCT
ap-6754	362	10	722	722	NUM
ap-6754	362	11	,	,	PUNCT
ap-6754	362	12	1986	1986	NUM
ap-6754	362	13	.	.	PUNCT
ap-6754	363	1	doi:10.1002	doi:10.1002	NOUN
ap-6754	363	2	/	/	SYM
ap-6754	363	3	nme.1620220312	nme.1620220312	PROPN
ap-6754	363	4	.	.	PUNCT
ap-6754	364	1	[	[	X
ap-6754	364	2	32	32	NUM
ap-6754	364	3	]	]	PUNCT
ap-6754	364	4	d.	d.	PROPN
ap-6754	364	5	d.	d.	PROPN
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ap-6754	364	7	,	,	PUNCT
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ap-6754	364	9	c.	c.	PROPN
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ap-6754	366	10	343	343	NUM
ap-6754	366	11	,	,	PUNCT
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ap-6754	366	13	.	.	PUNCT
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ap-6754	367	2	-	-	PUNCT
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ap-6754	367	4	-	-	SYM
ap-6754	367	5	2	2	NUM
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ap-6754	371	8	.	.	PUNCT
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