id	sid	tid	token	lemma	pos
fumecheng-7012	1	1	facta	facta	PROPN
fumecheng-7012	1	2	universitatis	universitatis	PROPN
fumecheng-7012	1	3	series	series	NOUN
fumecheng-7012	1	4	:	:	PUNCT
fumecheng-7012	1	5	mechanical	mechanical	ADJ
fumecheng-7012	1	6	engineering	engineering	NOUN
fumecheng-7012	1	7	vol	vol	NOUN
fumecheng-7012	1	8	.	.	PROPN
fumecheng-7012	2	1	19	19	NUM
fumecheng-7012	2	2	,	,	PUNCT
fumecheng-7012	2	3	no	no	DET
fumecheng-7012	2	4	4	4	NUM
fumecheng-7012	2	5	,	,	PUNCT
fumecheng-7012	2	6	2021	2021	NUM
fumecheng-7012	2	7	,	,	PUNCT
fumecheng-7012	2	8	pp	pp	ADV
fumecheng-7012	2	9	.	.	PUNCT
fumecheng-7012	3	1	657	657	NUM
fumecheng-7012	3	2	680	680	NUM
fumecheng-7012	3	3	https://doi.org/10.22190/fume201009045s	https://doi.org/10.22190/fume201009045s	NOUN
fumecheng-7012	3	4	©	©	PROPN
fumecheng-7012	3	5	2021	2021	NUM
fumecheng-7012	3	6	by	by	ADP
fumecheng-7012	3	7	university	university	PROPN
fumecheng-7012	3	8	of	of	ADP
fumecheng-7012	3	9	niš	niš	PROPN
fumecheng-7012	3	10	,	,	PUNCT
fumecheng-7012	3	11	serbia	serbia	PROPN
fumecheng-7012	3	12	|	|	ADV
fumecheng-7012	3	13	creative	creative	ADJ
fumecheng-7012	3	14	commons	common	NOUN
fumecheng-7012	3	15	license	license	NOUN
fumecheng-7012	3	16	:	:	PUNCT
fumecheng-7012	3	17	cc	cc	VERB
fumecheng-7012	3	18	by	by	ADP
fumecheng-7012	3	19	-	-	PUNCT
fumecheng-7012	3	20	nc	nc	VERB
fumecheng-7012	3	21	-	-	PUNCT
fumecheng-7012	3	22	nd	nd	ADV
fumecheng-7012	3	23	original	original	ADJ
fumecheng-7012	3	24	scientific	scientific	ADJ
fumecheng-7012	3	25	paper	paper	ADJ
fumecheng-7012	3	26	fourth	fourth	ADJ
fumecheng-7012	3	27	-	-	PUNCT
fumecheng-7012	3	28	order	order	NOUN
fumecheng-7012	3	29	strain	strain	NOUN
fumecheng-7012	3	30	gradient	gradient	ADJ
fumecheng-7012	3	31	bar	bar	NOUN
fumecheng-7012	3	32	-	-	PUNCT
fumecheng-7012	3	33	substrate	substrate	NOUN
fumecheng-7012	3	34	model	model	NOUN
fumecheng-7012	3	35	with	with	ADP
fumecheng-7012	3	36	nonlocal	nonlocal	ADJ
fumecheng-7012	3	37	and	and	CCONJ
fumecheng-7012	3	38	surface	surface	NOUN
fumecheng-7012	3	39	effects	effect	NOUN
fumecheng-7012	3	40	for	for	ADP
fumecheng-7012	3	41	the	the	DET
fumecheng-7012	3	42	analysis	analysis	NOUN
fumecheng-7012	3	43	of	of	ADP
fumecheng-7012	3	44	nanowires	nanowire	NOUN
fumecheng-7012	3	45	embedded	embed	VERB
fumecheng-7012	3	46	in	in	ADP
fumecheng-7012	3	47	substrate	substrate	NOUN
fumecheng-7012	3	48	media	medium	NOUN
fumecheng-7012	3	49	worathep	worathep	ADJ
fumecheng-7012	3	50	sae	sae	PROPN
fumecheng-7012	3	51	-	-	PROPN
fumecheng-7012	3	52	long1	long1	PROPN
fumecheng-7012	3	53	,	,	PUNCT
fumecheng-7012	3	54	suchart	suchart	NOUN
fumecheng-7012	3	55	limkatanyu2	limkatanyu2	PROPN
fumecheng-7012	3	56	,	,	PUNCT
fumecheng-7012	3	57	piti	piti	PROPN
fumecheng-7012	3	58	sukontasukkul3	sukontasukkul3	PROPN
fumecheng-7012	3	59	,	,	PUNCT
fumecheng-7012	3	60	nattapong	nattapong	PROPN
fumecheng-7012	3	61	damrongwiriyanupap1	damrongwiriyanupap1	NOUN
fumecheng-7012	3	62	,	,	PUNCT
fumecheng-7012	3	63	jaroon	jaroon	PROPN
fumecheng-7012	3	64	rungamornrat4	rungamornrat4	PROPN
fumecheng-7012	3	65	,	,	PUNCT
fumecheng-7012	3	66	woraphot	woraphot	VERB
fumecheng-7012	3	67	prachasaree2	prachasaree2	PROPN
fumecheng-7012	3	68	1civil	1civil	NUM
fumecheng-7012	3	69	engineering	engineering	NOUN
fumecheng-7012	3	70	program	program	NOUN
fumecheng-7012	3	71	,	,	PUNCT
fumecheng-7012	3	72	school	school	NOUN
fumecheng-7012	3	73	of	of	ADP
fumecheng-7012	3	74	engineering	engineering	NOUN
fumecheng-7012	3	75	,	,	PUNCT
fumecheng-7012	3	76	university	university	NOUN
fumecheng-7012	3	77	of	of	ADP
fumecheng-7012	3	78	phayao	phayao	NOUN
fumecheng-7012	3	79	,	,	PUNCT
fumecheng-7012	3	80	thailand	thailand	PROPN
fumecheng-7012	3	81	2dept	2dept	NUM
fumecheng-7012	3	82	.	.	PUNCT
fumecheng-7012	3	83	of	of	ADP
fumecheng-7012	3	84	civil	civil	ADJ
fumecheng-7012	3	85	eng	eng	PROPN
fumecheng-7012	3	86	.	.	PROPN
fumecheng-7012	3	87	,	,	PUNCT
fumecheng-7012	3	88	faculty	faculty	NOUN
fumecheng-7012	3	89	of	of	ADP
fumecheng-7012	3	90	engineering	engineering	NOUN
fumecheng-7012	3	91	,	,	PUNCT
fumecheng-7012	3	92	prince	prince	NOUN
fumecheng-7012	3	93	of	of	ADP
fumecheng-7012	3	94	songkla	songkla	PROPN
fumecheng-7012	3	95	university	university	PROPN
fumecheng-7012	3	96	,	,	PUNCT
fumecheng-7012	3	97	thailand	thailand	PROPN
fumecheng-7012	3	98	3construction	3construction	NUM
fumecheng-7012	3	99	and	and	CCONJ
fumecheng-7012	3	100	building	building	NOUN
fumecheng-7012	3	101	materials	material	NOUN
fumecheng-7012	3	102	research	research	NOUN
fumecheng-7012	3	103	center	center	NOUN
fumecheng-7012	3	104	,	,	PUNCT
fumecheng-7012	3	105	department	department	NOUN
fumecheng-7012	3	106	of	of	ADP
fumecheng-7012	3	107	civil	civil	ADJ
fumecheng-7012	3	108	engineering	engineering	NOUN
fumecheng-7012	3	109	,	,	PUNCT
fumecheng-7012	3	110	king	king	PROPN
fumecheng-7012	3	111	mongkut	mongkut	PROPN
fumecheng-7012	3	112	’s	’s	PROPN
fumecheng-7012	3	113	university	university	PROPN
fumecheng-7012	3	114	of	of	ADP
fumecheng-7012	3	115	technology	technology	PROPN
fumecheng-7012	3	116	north	north	PROPN
fumecheng-7012	3	117	bangkok	bangkok	PROPN
fumecheng-7012	3	118	,	,	PUNCT
fumecheng-7012	3	119	thailand	thailand	PROPN
fumecheng-7012	3	120	4applied	4applied	PROPN
fumecheng-7012	3	121	mechanics	mechanic	NOUN
fumecheng-7012	3	122	and	and	CCONJ
fumecheng-7012	3	123	structures	structure	NOUN
fumecheng-7012	3	124	research	research	NOUN
fumecheng-7012	3	125	unit	unit	NOUN
fumecheng-7012	3	126	,	,	PUNCT
fumecheng-7012	3	127	department	department	NOUN
fumecheng-7012	3	128	of	of	ADP
fumecheng-7012	3	129	civil	civil	ADJ
fumecheng-7012	3	130	engineering	engineering	NOUN
fumecheng-7012	3	131	,	,	PUNCT
fumecheng-7012	3	132	faculty	faculty	NOUN
fumecheng-7012	3	133	of	of	ADP
fumecheng-7012	3	134	engineering	engineering	NOUN
fumecheng-7012	3	135	,	,	PUNCT
fumecheng-7012	3	136	chulalongkorn	chulalongkorn	NOUN
fumecheng-7012	3	137	university	university	NOUN
fumecheng-7012	3	138	,	,	PUNCT
fumecheng-7012	3	139	bangkok	bangkok	PROPN
fumecheng-7012	3	140	,	,	PUNCT
fumecheng-7012	3	141	thailand	thailand	PROPN
fumecheng-7012	3	142	abstract	abstract	PROPN
fumecheng-7012	3	143	.	.	PUNCT
fumecheng-7012	4	1	this	this	DET
fumecheng-7012	4	2	paper	paper	NOUN
fumecheng-7012	4	3	presents	present	VERB
fumecheng-7012	4	4	a	a	DET
fumecheng-7012	4	5	new	new	ADJ
fumecheng-7012	4	6	analytical	analytical	ADJ
fumecheng-7012	4	7	bar	bar	NOUN
fumecheng-7012	4	8	-	-	PUNCT
fumecheng-7012	4	9	substrate	substrate	NOUN
fumecheng-7012	4	10	model	model	NOUN
fumecheng-7012	4	11	for	for	ADP
fumecheng-7012	4	12	the	the	DET
fumecheng-7012	4	13	analysis	analysis	NOUN
fumecheng-7012	4	14	of	of	ADP
fumecheng-7012	4	15	an	an	DET
fumecheng-7012	4	16	isotropic	isotropic	ADJ
fumecheng-7012	4	17	and	and	CCONJ
fumecheng-7012	4	18	homogeneous	homogeneous	ADJ
fumecheng-7012	4	19	nanowire	nanowire	NOUN
fumecheng-7012	4	20	embedded	embed	VERB
fumecheng-7012	4	21	in	in	ADP
fumecheng-7012	4	22	an	an	DET
fumecheng-7012	4	23	elastic	elastic	ADJ
fumecheng-7012	4	24	substrate	substrate	NOUN
fumecheng-7012	4	25	.	.	PUNCT
fumecheng-7012	5	1	a	a	DET
fumecheng-7012	5	2	fourth	fourth	ADJ
fumecheng-7012	5	3	-	-	PUNCT
fumecheng-7012	5	4	order	order	NOUN
fumecheng-7012	5	5	nonlocal	nonlocal	ADJ
fumecheng-7012	5	6	strain	strain	NOUN
fumecheng-7012	5	7	gradient	gradient	NOUN
fumecheng-7012	5	8	model	model	NOUN
fumecheng-7012	5	9	based	base	VERB
fumecheng-7012	5	10	on	on	ADP
fumecheng-7012	5	11	a	a	DET
fumecheng-7012	5	12	thermodynamic	thermodynamic	ADJ
fumecheng-7012	5	13	approach	approach	NOUN
fumecheng-7012	5	14	is	be	AUX
fumecheng-7012	5	15	employed	employ	VERB
fumecheng-7012	5	16	to	to	PART
fumecheng-7012	5	17	represent	represent	VERB
fumecheng-7012	5	18	the	the	DET
fumecheng-7012	5	19	small	small	ADJ
fumecheng-7012	5	20	-	-	PUNCT
fumecheng-7012	5	21	scale	scale	NOUN
fumecheng-7012	5	22	effect	effect	NOUN
fumecheng-7012	5	23	(	(	PUNCT
fumecheng-7012	5	24	nonlocal	nonlocal	ADJ
fumecheng-7012	5	25	effect	effect	NOUN
fumecheng-7012	5	26	)	)	PUNCT
fumecheng-7012	5	27	while	while	SCONJ
fumecheng-7012	5	28	the	the	DET
fumecheng-7012	5	29	gurtin	gurtin	NOUN
fumecheng-7012	5	30	-	-	PUNCT
fumecheng-7012	5	31	murdoch	murdoch	PROPN
fumecheng-7012	5	32	continuum	continuum	PROPN
fumecheng-7012	5	33	model	model	NOUN
fumecheng-7012	5	34	based	base	VERB
fumecheng-7012	5	35	on	on	ADP
fumecheng-7012	5	36	the	the	DET
fumecheng-7012	5	37	surface	surface	NOUN
fumecheng-7012	5	38	elastic	elastic	ADJ
fumecheng-7012	5	39	theory	theory	NOUN
fumecheng-7012	5	40	is	be	AUX
fumecheng-7012	5	41	used	use	VERB
fumecheng-7012	5	42	to	to	PART
fumecheng-7012	5	43	account	account	VERB
fumecheng-7012	5	44	for	for	ADP
fumecheng-7012	5	45	the	the	DET
fumecheng-7012	5	46	size	size	NOUN
fumecheng-7012	5	47	-	-	PUNCT
fumecheng-7012	5	48	dependent	dependent	ADJ
fumecheng-7012	5	49	effect	effect	NOUN
fumecheng-7012	5	50	(	(	PUNCT
fumecheng-7012	5	51	surface	surface	NOUN
fumecheng-7012	5	52	energy	energy	NOUN
fumecheng-7012	5	53	effect	effect	NOUN
fumecheng-7012	5	54	)	)	PUNCT
fumecheng-7012	5	55	.	.	PUNCT
fumecheng-7012	6	1	the	the	DET
fumecheng-7012	6	2	proposed	propose	VERB
fumecheng-7012	6	3	model	model	NOUN
fumecheng-7012	6	4	is	be	AUX
fumecheng-7012	6	5	derived	derive	VERB
fumecheng-7012	6	6	from	from	ADP
fumecheng-7012	6	7	the	the	DET
fumecheng-7012	6	8	virtual	virtual	ADJ
fumecheng-7012	6	9	displacement	displacement	NOUN
fumecheng-7012	6	10	principle	principle	NOUN
fumecheng-7012	6	11	,	,	PUNCT
fumecheng-7012	6	12	leading	lead	VERB
fumecheng-7012	6	13	to	to	ADP
fumecheng-7012	6	14	the	the	DET
fumecheng-7012	6	15	governing	govern	VERB
fumecheng-7012	6	16	differential	differential	ADJ
fumecheng-7012	6	17	equations	equation	NOUN
fumecheng-7012	6	18	and	and	CCONJ
fumecheng-7012	6	19	its	its	PRON
fumecheng-7012	6	20	associated	associated	ADJ
fumecheng-7012	6	21	natural	natural	ADJ
fumecheng-7012	6	22	boundary	boundary	ADJ
fumecheng-7012	6	23	conditions	condition	NOUN
fumecheng-7012	6	24	.	.	PUNCT
fumecheng-7012	7	1	the	the	DET
fumecheng-7012	7	2	analytical	analytical	ADJ
fumecheng-7012	7	3	solutions	solution	NOUN
fumecheng-7012	7	4	of	of	ADP
fumecheng-7012	7	5	the	the	DET
fumecheng-7012	7	6	sixth	sixth	ADJ
fumecheng-7012	7	7	-	-	PUNCT
fumecheng-7012	7	8	order	order	NOUN
fumecheng-7012	7	9	governing	govern	VERB
fumecheng-7012	7	10	differential	differential	ADJ
fumecheng-7012	7	11	equation	equation	NOUN
fumecheng-7012	7	12	for	for	ADP
fumecheng-7012	7	13	the	the	DET
fumecheng-7012	7	14	nanowire	nanowire	ADJ
fumecheng-7012	7	15	-	-	PUNCT
fumecheng-7012	7	16	substrate	substrate	NOUN
fumecheng-7012	7	17	element	element	NOUN
fumecheng-7012	7	18	are	be	AUX
fumecheng-7012	7	19	provided	provide	VERB
fumecheng-7012	7	20	,	,	PUNCT
fumecheng-7012	7	21	and	and	CCONJ
fumecheng-7012	7	22	were	be	AUX
fumecheng-7012	7	23	employed	employ	VERB
fumecheng-7012	7	24	in	in	ADP
fumecheng-7012	7	25	numerical	numerical	ADJ
fumecheng-7012	7	26	simulations	simulation	NOUN
fumecheng-7012	7	27	.	.	PUNCT
fumecheng-7012	8	1	two	two	NUM
fumecheng-7012	8	2	numerical	numerical	ADJ
fumecheng-7012	8	3	simulations	simulation	NOUN
fumecheng-7012	8	4	are	be	AUX
fumecheng-7012	8	5	used	use	VERB
fumecheng-7012	8	6	to	to	PART
fumecheng-7012	8	7	demonstrate	demonstrate	VERB
fumecheng-7012	8	8	the	the	DET
fumecheng-7012	8	9	performance	performance	NOUN
fumecheng-7012	8	10	and	and	CCONJ
fumecheng-7012	8	11	to	to	PART
fumecheng-7012	8	12	investigate	investigate	VERB
fumecheng-7012	8	13	the	the	DET
fumecheng-7012	8	14	characteristics	characteristic	NOUN
fumecheng-7012	8	15	of	of	ADP
fumecheng-7012	8	16	the	the	DET
fumecheng-7012	8	17	fourth	fourth	ADJ
fumecheng-7012	8	18	-	-	PUNCT
fumecheng-7012	8	19	order	order	NOUN
fumecheng-7012	8	20	nonlocal	nonlocal	ADJ
fumecheng-7012	8	21	strain	strain	NOUN
fumecheng-7012	8	22	gradient	gradient	NOUN
fumecheng-7012	8	23	model	model	NOUN
fumecheng-7012	8	24	on	on	ADP
fumecheng-7012	8	25	nanowire	nanowire	ADJ
fumecheng-7012	8	26	responses	response	NOUN
fumecheng-7012	8	27	,	,	PUNCT
fumecheng-7012	8	28	when	when	SCONJ
fumecheng-7012	8	29	compared	compare	VERB
fumecheng-7012	8	30	to	to	ADP
fumecheng-7012	8	31	the	the	DET
fumecheng-7012	8	32	classical	classical	ADJ
fumecheng-7012	8	33	model	model	NOUN
fumecheng-7012	8	34	and	and	CCONJ
fumecheng-7012	8	35	the	the	DET
fumecheng-7012	8	36	second	second	ADJ
fumecheng-7012	8	37	-	-	PUNCT
fumecheng-7012	8	38	order	order	NOUN
fumecheng-7012	8	39	nonlocal	nonlocal	ADJ
fumecheng-7012	8	40	strain	strain	NOUN
fumecheng-7012	8	41	gradient	gradient	NOUN
fumecheng-7012	8	42	model	model	NOUN
fumecheng-7012	8	43	.	.	PUNCT
fumecheng-7012	9	1	the	the	DET
fumecheng-7012	9	2	first	first	ADJ
fumecheng-7012	9	3	simulation	simulation	NOUN
fumecheng-7012	9	4	investigates	investigate	VERB
fumecheng-7012	9	5	the	the	DET
fumecheng-7012	9	6	influences	influence	NOUN
fumecheng-7012	9	7	of	of	ADP
fumecheng-7012	9	8	nonlocal	nonlocal	ADJ
fumecheng-7012	9	9	and	and	CCONJ
fumecheng-7012	9	10	surface	surface	NOUN
fumecheng-7012	9	11	effects	effect	NOUN
fumecheng-7012	9	12	on	on	ADP
fumecheng-7012	9	13	the	the	DET
fumecheng-7012	9	14	responses	response	NOUN
fumecheng-7012	9	15	of	of	ADP
fumecheng-7012	9	16	a	a	DET
fumecheng-7012	9	17	nanowire	nanowire	NOUN
fumecheng-7012	9	18	embedded	embed	VERB
fumecheng-7012	9	19	in	in	ADP
fumecheng-7012	9	20	an	an	DET
fumecheng-7012	9	21	elastic	elastic	ADJ
fumecheng-7012	9	22	substrate	substrate	NOUN
fumecheng-7012	9	23	,	,	PUNCT
fumecheng-7012	9	24	while	while	SCONJ
fumecheng-7012	9	25	the	the	DET
fumecheng-7012	9	26	second	second	ADJ
fumecheng-7012	9	27	simulation	simulation	NOUN
fumecheng-7012	9	28	study	study	NOUN
fumecheng-7012	9	29	assessed	assess	VERB
fumecheng-7012	9	30	the	the	DET
fumecheng-7012	9	31	sensitivity	sensitivity	NOUN
fumecheng-7012	9	32	of	of	ADP
fumecheng-7012	9	33	system	system	NOUN
fumecheng-7012	9	34	stiffness	stiffness	NOUN
fumecheng-7012	9	35	on	on	ADP
fumecheng-7012	9	36	parameters	parameter	NOUN
fumecheng-7012	9	37	in	in	ADP
fumecheng-7012	9	38	the	the	DET
fumecheng-7012	9	39	nanowire	nanowire	NOUN
fumecheng-7012	9	40	-	-	PUNCT
fumecheng-7012	9	41	substrate	substrate	NOUN
fumecheng-7012	9	42	model	model	NOUN
fumecheng-7012	9	43	.	.	PUNCT
fumecheng-7012	10	1	key	key	ADJ
fumecheng-7012	10	2	words	word	NOUN
fumecheng-7012	10	3	:	:	PUNCT
fumecheng-7012	10	4	nanobeam	nanobeam	ADJ
fumecheng-7012	10	5	-	-	PUNCT
fumecheng-7012	10	6	substrate	substrate	NOUN
fumecheng-7012	10	7	model	model	NOUN
fumecheng-7012	10	8	,	,	PUNCT
fumecheng-7012	10	9	displacement	displacement	NOUN
fumecheng-7012	10	10	-	-	PUNCT
fumecheng-7012	10	11	based	base	VERB
fumecheng-7012	10	12	formulation	formulation	NOUN
fumecheng-7012	10	13	,	,	PUNCT
fumecheng-7012	10	14	nonlocal	nonlocal	ADJ
fumecheng-7012	10	15	thermodynamic	thermodynamic	ADJ
fumecheng-7012	10	16	approach	approach	NOUN
fumecheng-7012	10	17	,	,	PUNCT
fumecheng-7012	10	18	fourth	fourth	ADJ
fumecheng-7012	10	19	-	-	PUNCT
fumecheng-7012	10	20	order	order	NOUN
fumecheng-7012	10	21	nonlocal	nonlocal	ADJ
fumecheng-7012	10	22	strain	strain	NOUN
fumecheng-7012	10	23	gradient	gradient	NOUN
fumecheng-7012	10	24	model	model	NOUN
fumecheng-7012	10	25	,	,	PUNCT
fumecheng-7012	10	26	nonlocal	nonlocal	ADJ
fumecheng-7012	10	27	strain	strain	NOUN
fumecheng-7012	10	28	gradient	gradient	NOUN
fumecheng-7012	10	29	received	receive	VERB
fumecheng-7012	10	30	october	october	PROPN
fumecheng-7012	10	31	09	09	NUM
fumecheng-7012	10	32	,	,	PUNCT
fumecheng-7012	10	33	2020	2020	NUM
fumecheng-7012	10	34	/	/	SYM
fumecheng-7012	10	35	accepted	accept	VERB
fumecheng-7012	10	36	december	december	PROPN
fumecheng-7012	10	37	07	07	NUM
fumecheng-7012	10	38	,	,	PUNCT
fumecheng-7012	10	39	2020	2020	NUM
fumecheng-7012	10	40	corresponding	correspond	VERB
fumecheng-7012	10	41	author	author	NOUN
fumecheng-7012	10	42	:	:	PUNCT
fumecheng-7012	10	43	suchart	suchart	PROPN
fumecheng-7012	10	44	limkatanyu	limkatanyu	PROPN
fumecheng-7012	10	45	department	department	PROPN
fumecheng-7012	10	46	of	of	ADP
fumecheng-7012	10	47	civil	civil	ADJ
fumecheng-7012	10	48	engineering	engineering	NOUN
fumecheng-7012	10	49	,	,	PUNCT
fumecheng-7012	10	50	faculty	faculty	NOUN
fumecheng-7012	10	51	of	of	ADP
fumecheng-7012	10	52	engineering	engineering	NOUN
fumecheng-7012	10	53	,	,	PUNCT
fumecheng-7012	10	54	prince	prince	NOUN
fumecheng-7012	10	55	of	of	ADP
fumecheng-7012	10	56	songkla	songkla	PROPN
fumecheng-7012	10	57	university	university	PROPN
fumecheng-7012	10	58	,	,	PUNCT
fumecheng-7012	10	59	songkhla	songkhla	ADJ
fumecheng-7012	10	60	,	,	PUNCT
fumecheng-7012	10	61	90112	90112	NUM
fumecheng-7012	10	62	,	,	PUNCT
fumecheng-7012	10	63	thailand	thailand	PROPN
fumecheng-7012	10	64	e	e	PROPN
fumecheng-7012	10	65	-	-	NOUN
fumecheng-7012	10	66	mail	mail	NOUN
fumecheng-7012	10	67	:	:	PUNCT
fumecheng-7012	10	68	suchart.l@psu.ac.th	suchart.l@psu.ac.th	PROPN
fumecheng-7012	10	69	658	658	NUM
fumecheng-7012	10	70	w.	w.	PROPN
fumecheng-7012	10	71	sae	sae	PROPN
fumecheng-7012	10	72	-	-	PROPN
fumecheng-7012	10	73	long	long	ADV
fumecheng-7012	10	74	,	,	PUNCT
fumecheng-7012	10	75	s.	s.	PROPN
fumecheng-7012	10	76	limkatanyu	limkatanyu	PROPN
fumecheng-7012	10	77	,	,	PUNCT
fumecheng-7012	10	78	p.	p.	NOUN
fumecheng-7012	10	79	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	10	80	,	,	PUNCT
fumecheng-7012	10	81	et	et	PROPN
fumecheng-7012	10	82	al	al	PROPN
fumecheng-7012	10	83	.	.	PROPN
fumecheng-7012	10	84	1	1	NUM
fumecheng-7012	10	85	.	.	X
fumecheng-7012	11	1	introduction	introduction	NOUN
fumecheng-7012	11	2	with	with	ADP
fumecheng-7012	11	3	the	the	DET
fumecheng-7012	11	4	rapid	rapid	ADJ
fumecheng-7012	11	5	development	development	NOUN
fumecheng-7012	11	6	of	of	ADP
fumecheng-7012	11	7	technology	technology	NOUN
fumecheng-7012	11	8	and	and	CCONJ
fumecheng-7012	11	9	science	science	NOUN
fumecheng-7012	12	1	,	,	PUNCT
fumecheng-7012	12	2	nanotechnology	nanotechnology	NOUN
fumecheng-7012	12	3	plays	play	VERB
fumecheng-7012	12	4	a	a	DET
fumecheng-7012	12	5	greater	great	ADJ
fumecheng-7012	12	6	role	role	NOUN
fumecheng-7012	12	7	in	in	ADP
fumecheng-7012	12	8	several	several	ADJ
fumecheng-7012	12	9	applications	application	NOUN
fumecheng-7012	12	10	and	and	CCONJ
fumecheng-7012	12	11	has	have	AUX
fumecheng-7012	12	12	led	lead	VERB
fumecheng-7012	12	13	to	to	ADP
fumecheng-7012	12	14	a	a	DET
fumecheng-7012	12	15	huge	huge	ADJ
fumecheng-7012	12	16	effort	effort	NOUN
fumecheng-7012	12	17	to	to	PART
fumecheng-7012	12	18	study	study	VERB
fumecheng-7012	12	19	nano	nano	NOUN
fumecheng-7012	12	20	-	-	PUNCT
fumecheng-7012	12	21	sized	sized	ADJ
fumecheng-7012	12	22	structures	structure	NOUN
fumecheng-7012	12	23	in	in	ADP
fumecheng-7012	12	24	the	the	DET
fumecheng-7012	12	25	engineering	engineering	NOUN
fumecheng-7012	12	26	fields	field	NOUN
fumecheng-7012	12	27	.	.	PUNCT
fumecheng-7012	13	1	however	however	ADV
fumecheng-7012	13	2	,	,	PUNCT
fumecheng-7012	13	3	the	the	DET
fumecheng-7012	13	4	characteristics	characteristic	NOUN
fumecheng-7012	13	5	of	of	ADP
fumecheng-7012	13	6	these	these	DET
fumecheng-7012	13	7	nanoscale	nanoscale	NOUN
fumecheng-7012	13	8	structures	structure	NOUN
fumecheng-7012	13	9	differ	differ	VERB
fumecheng-7012	13	10	from	from	ADP
fumecheng-7012	13	11	the	the	DET
fumecheng-7012	13	12	large	large	ADJ
fumecheng-7012	13	13	-	-	PUNCT
fumecheng-7012	13	14	scale	scale	NOUN
fumecheng-7012	13	15	structures	structure	NOUN
fumecheng-7012	13	16	,	,	PUNCT
fumecheng-7012	13	17	and	and	CCONJ
fumecheng-7012	13	18	size	size	NOUN
fumecheng-7012	13	19	or	or	CCONJ
fumecheng-7012	13	20	scale	scale	NOUN
fumecheng-7012	13	21	affects	affect	VERB
fumecheng-7012	13	22	those	those	DET
fumecheng-7012	13	23	behaviors	behavior	NOUN
fumecheng-7012	13	24	[	[	X
fumecheng-7012	13	25	1	1	NUM
fumecheng-7012	13	26	-	-	SYM
fumecheng-7012	13	27	5	5	NUM
fumecheng-7012	13	28	]	]	PUNCT
fumecheng-7012	13	29	.	.	PUNCT
fumecheng-7012	14	1	furthermore	furthermore	ADV
fumecheng-7012	14	2	,	,	PUNCT
fumecheng-7012	14	3	the	the	DET
fumecheng-7012	14	4	development	development	NOUN
fumecheng-7012	14	5	of	of	ADP
fumecheng-7012	14	6	numerical	numerical	ADJ
fumecheng-7012	14	7	models	model	NOUN
fumecheng-7012	14	8	for	for	ADP
fumecheng-7012	14	9	replacing	replace	VERB
fumecheng-7012	14	10	the	the	DET
fumecheng-7012	14	11	results	result	NOUN
fumecheng-7012	14	12	from	from	ADP
fumecheng-7012	14	13	the	the	DET
fumecheng-7012	14	14	experiments	experiment	NOUN
fumecheng-7012	14	15	,	,	PUNCT
fumecheng-7012	14	16	which	which	PRON
fumecheng-7012	14	17	are	be	AUX
fumecheng-7012	14	18	expensive	expensive	ADJ
fumecheng-7012	14	19	and	and	CCONJ
fumecheng-7012	14	20	require	require	VERB
fumecheng-7012	14	21	specific	specific	ADJ
fumecheng-7012	14	22	equipment	equipment	NOUN
fumecheng-7012	14	23	for	for	ADP
fumecheng-7012	14	24	testing	testing	NOUN
fumecheng-7012	14	25	or	or	CCONJ
fumecheng-7012	14	26	observation	observation	NOUN
fumecheng-7012	14	27	,	,	PUNCT
fumecheng-7012	14	28	is	be	AUX
fumecheng-7012	14	29	a	a	DET
fumecheng-7012	14	30	challenging	challenging	ADJ
fumecheng-7012	14	31	problem	problem	NOUN
fumecheng-7012	14	32	to	to	ADP
fumecheng-7012	14	33	the	the	DET
fumecheng-7012	14	34	structural	structural	ADJ
fumecheng-7012	14	35	analysis	analysis	NOUN
fumecheng-7012	14	36	community	community	NOUN
fumecheng-7012	14	37	,	,	PUNCT
fumecheng-7012	14	38	motivating	motivate	VERB
fumecheng-7012	14	39	also	also	ADV
fumecheng-7012	14	40	this	this	DET
fumecheng-7012	14	41	current	current	ADJ
fumecheng-7012	14	42	study	study	NOUN
fumecheng-7012	14	43	.	.	PUNCT
fumecheng-7012	15	1	the	the	DET
fumecheng-7012	15	2	available	available	ADJ
fumecheng-7012	15	3	numerical	numerical	ADJ
fumecheng-7012	15	4	models	model	NOUN
fumecheng-7012	15	5	to	to	PART
fumecheng-7012	15	6	characterize	characterize	VERB
fumecheng-7012	15	7	the	the	DET
fumecheng-7012	15	8	mechanical	mechanical	ADJ
fumecheng-7012	15	9	responses	response	NOUN
fumecheng-7012	15	10	of	of	ADP
fumecheng-7012	15	11	nanostructures	nanostructure	NOUN
fumecheng-7012	15	12	in	in	ADP
fumecheng-7012	15	13	the	the	DET
fumecheng-7012	15	14	structural	structural	ADJ
fumecheng-7012	15	15	engineering	engineering	NOUN
fumecheng-7012	15	16	field	field	NOUN
fumecheng-7012	15	17	fall	fall	VERB
fumecheng-7012	15	18	into	into	ADP
fumecheng-7012	15	19	two	two	NUM
fumecheng-7012	15	20	categories	category	NOUN
fumecheng-7012	15	21	,	,	PUNCT
fumecheng-7012	15	22	namely	namely	ADV
fumecheng-7012	15	23	,	,	PUNCT
fumecheng-7012	15	24	(	(	PUNCT
fumecheng-7012	15	25	i	i	NOUN
fumecheng-7012	15	26	)	)	PUNCT
fumecheng-7012	15	27	atomistic	atomistic	ADJ
fumecheng-7012	15	28	models	model	NOUN
fumecheng-7012	15	29	;	;	PUNCT
fumecheng-7012	15	30	and	and	CCONJ
fumecheng-7012	15	31	(	(	PUNCT
fumecheng-7012	15	32	ii	ii	NOUN
fumecheng-7012	15	33	)	)	PUNCT
fumecheng-7012	15	34	continuummechanics	continuummechanic	NOUN
fumecheng-7012	15	35	models	model	NOUN
fumecheng-7012	15	36	.	.	PUNCT
fumecheng-7012	16	1	the	the	DET
fumecheng-7012	16	2	atomistic	atomistic	ADJ
fumecheng-7012	16	3	models	model	NOUN
fumecheng-7012	16	4	are	be	AUX
fumecheng-7012	16	5	established	establish	VERB
fumecheng-7012	16	6	at	at	ADP
fumecheng-7012	16	7	molecular	molecular	ADJ
fumecheng-7012	16	8	or	or	CCONJ
fumecheng-7012	16	9	atomic	atomic	ADJ
fumecheng-7012	16	10	level	level	NOUN
fumecheng-7012	16	11	based	base	VERB
fumecheng-7012	16	12	on	on	ADP
fumecheng-7012	16	13	several	several	ADJ
fumecheng-7012	16	14	techniques	technique	NOUN
fumecheng-7012	16	15	,	,	PUNCT
fumecheng-7012	16	16	such	such	ADJ
fumecheng-7012	16	17	as	as	ADP
fumecheng-7012	16	18	molecular	molecular	ADJ
fumecheng-7012	16	19	dynamics	dynamic	NOUN
fumecheng-7012	16	20	simulations	simulation	NOUN
fumecheng-7012	16	21	[	[	X
fumecheng-7012	16	22	6	6	NUM
fumecheng-7012	16	23	-	-	SYM
fumecheng-7012	16	24	7	7	NUM
fumecheng-7012	16	25	]	]	PUNCT
fumecheng-7012	16	26	,	,	PUNCT
fumecheng-7012	16	27	density	density	NOUN
fumecheng-7012	16	28	functional	functional	ADJ
fumecheng-7012	16	29	theory	theory	NOUN
fumecheng-7012	16	30	[	[	X
fumecheng-7012	16	31	8	8	NUM
fumecheng-7012	16	32	-	-	SYM
fumecheng-7012	16	33	9	9	NUM
fumecheng-7012	16	34	]	]	PUNCT
fumecheng-7012	16	35	,	,	PUNCT
fumecheng-7012	16	36	etc	etc	X
fumecheng-7012	16	37	.	.	X
fumecheng-7012	17	1	these	these	DET
fumecheng-7012	17	2	models	model	NOUN
fumecheng-7012	17	3	can	can	AUX
fumecheng-7012	17	4	provide	provide	VERB
fumecheng-7012	17	5	comprehensive	comprehensive	ADJ
fumecheng-7012	17	6	details	detail	NOUN
fumecheng-7012	17	7	and	and	CCONJ
fumecheng-7012	17	8	are	be	AUX
fumecheng-7012	17	9	beneficial	beneficial	ADJ
fumecheng-7012	17	10	in	in	ADP
fumecheng-7012	17	11	the	the	DET
fumecheng-7012	17	12	analysis	analysis	NOUN
fumecheng-7012	17	13	of	of	ADP
fumecheng-7012	17	14	small	small	ADJ
fumecheng-7012	17	15	and	and	CCONJ
fumecheng-7012	17	16	simple	simple	ADJ
fumecheng-7012	17	17	nanostructures	nanostructure	NOUN
fumecheng-7012	17	18	[	[	X
fumecheng-7012	17	19	10	10	NUM
fumecheng-7012	17	20	]	]	PUNCT
fumecheng-7012	17	21	.	.	PUNCT
fumecheng-7012	18	1	however	however	ADV
fumecheng-7012	18	2	,	,	PUNCT
fumecheng-7012	18	3	the	the	DET
fumecheng-7012	18	4	atomistic	atomistic	ADJ
fumecheng-7012	18	5	simulations	simulation	NOUN
fumecheng-7012	18	6	are	be	AUX
fumecheng-7012	18	7	very	very	ADV
fumecheng-7012	18	8	cumbersome	cumbersome	ADJ
fumecheng-7012	18	9	and	and	CCONJ
fumecheng-7012	18	10	have	have	VERB
fumecheng-7012	18	11	high	high	ADJ
fumecheng-7012	18	12	computational	computational	ADJ
fumecheng-7012	18	13	costs	cost	NOUN
fumecheng-7012	18	14	when	when	SCONJ
fumecheng-7012	18	15	applied	apply	VERB
fumecheng-7012	18	16	to	to	ADP
fumecheng-7012	18	17	complex	complex	ADJ
fumecheng-7012	18	18	or	or	CCONJ
fumecheng-7012	18	19	large	large	ADJ
fumecheng-7012	18	20	nanostructure	nanostructure	NOUN
fumecheng-7012	18	21	systems	system	NOUN
fumecheng-7012	18	22	.	.	PUNCT
fumecheng-7012	19	1	for	for	ADP
fumecheng-7012	19	2	large	large	ADJ
fumecheng-7012	19	3	-	-	PUNCT
fumecheng-7012	19	4	scale	scale	NOUN
fumecheng-7012	19	5	nanostructures	nanostructure	NOUN
fumecheng-7012	19	6	,	,	PUNCT
fumecheng-7012	19	7	the	the	DET
fumecheng-7012	19	8	continuum	continuum	VERB
fumecheng-7012	19	9	-	-	PUNCT
fumecheng-7012	19	10	mechanics	mechanic	NOUN
fumecheng-7012	19	11	models	model	NOUN
fumecheng-7012	19	12	are	be	AUX
fumecheng-7012	19	13	an	an	DET
fumecheng-7012	19	14	attractive	attractive	ADJ
fumecheng-7012	19	15	alternative	alternative	NOUN
fumecheng-7012	19	16	to	to	PART
fumecheng-7012	19	17	simulate	simulate	VERB
fumecheng-7012	19	18	the	the	DET
fumecheng-7012	19	19	mechanical	mechanical	ADJ
fumecheng-7012	19	20	characteristics	characteristic	NOUN
fumecheng-7012	19	21	of	of	ADP
fumecheng-7012	19	22	the	the	DET
fumecheng-7012	19	23	nanostructures	nanostructure	NOUN
fumecheng-7012	19	24	,	,	PUNCT
fumecheng-7012	19	25	with	with	ADP
fumecheng-7012	19	26	good	good	ADJ
fumecheng-7012	19	27	applicability	applicability	NOUN
fumecheng-7012	19	28	and	and	CCONJ
fumecheng-7012	19	29	simplicity	simplicity	NOUN
fumecheng-7012	19	30	.	.	PUNCT
fumecheng-7012	20	1	although	although	SCONJ
fumecheng-7012	20	2	the	the	DET
fumecheng-7012	20	3	classical	classical	ADJ
fumecheng-7012	20	4	continuum	continuum	ADJ
fumecheng-7012	20	5	models	model	NOUN
fumecheng-7012	20	6	do	do	AUX
fumecheng-7012	20	7	not	not	PART
fumecheng-7012	20	8	originally	originally	ADV
fumecheng-7012	20	9	incorporate	incorporate	VERB
fumecheng-7012	20	10	size	size	NOUN
fumecheng-7012	20	11	-	-	PUNCT
fumecheng-7012	20	12	scale	scale	NOUN
fumecheng-7012	20	13	effect	effect	NOUN
fumecheng-7012	20	14	,	,	PUNCT
fumecheng-7012	20	15	this	this	DET
fumecheng-7012	20	16	model	model	NOUN
fumecheng-7012	20	17	type	type	NOUN
fumecheng-7012	20	18	can	can	AUX
fumecheng-7012	20	19	be	be	AUX
fumecheng-7012	20	20	applied	apply	VERB
fumecheng-7012	20	21	with	with	ADP
fumecheng-7012	20	22	non	non	ADJ
fumecheng-7012	20	23	-	-	ADJ
fumecheng-7012	20	24	classical	classical	ADJ
fumecheng-7012	20	25	continuum	continuum	ADJ
fumecheng-7012	20	26	theories	theory	NOUN
fumecheng-7012	20	27	,	,	PUNCT
fumecheng-7012	20	28	and	and	CCONJ
fumecheng-7012	20	29	have	have	AUX
fumecheng-7012	20	30	been	be	AUX
fumecheng-7012	20	31	named	name	VERB
fumecheng-7012	20	32	“	"	PUNCT
fumecheng-7012	20	33	nonlocal	nonlocal	ADJ
fumecheng-7012	20	34	”	"	PUNCT
fumecheng-7012	20	35	continuum	continuum	ADJ
fumecheng-7012	20	36	models	model	NOUN
fumecheng-7012	20	37	[	[	X
fumecheng-7012	20	38	11	11	NUM
fumecheng-7012	20	39	-	-	SYM
fumecheng-7012	20	40	12	12	NUM
fumecheng-7012	20	41	]	]	PUNCT
fumecheng-7012	20	42	.	.	PUNCT
fumecheng-7012	21	1	according	accord	VERB
fumecheng-7012	21	2	to	to	ADP
fumecheng-7012	21	3	the	the	DET
fumecheng-7012	21	4	nonlocal	nonlocal	ADJ
fumecheng-7012	21	5	continuum	continuum	ADJ
fumecheng-7012	21	6	models	model	NOUN
fumecheng-7012	21	7	,	,	PUNCT
fumecheng-7012	21	8	several	several	ADJ
fumecheng-7012	21	9	non	non	ADJ
fumecheng-7012	21	10	-	-	ADJ
fumecheng-7012	21	11	classical	classical	ADJ
fumecheng-7012	21	12	continuum	continuum	ADJ
fumecheng-7012	21	13	theories	theory	NOUN
fumecheng-7012	21	14	are	be	AUX
fumecheng-7012	21	15	employed	employ	VERB
fumecheng-7012	21	16	to	to	PART
fumecheng-7012	21	17	account	account	VERB
fumecheng-7012	21	18	for	for	ADP
fumecheng-7012	21	19	the	the	DET
fumecheng-7012	21	20	size	size	NOUN
fumecheng-7012	21	21	-	-	PUNCT
fumecheng-7012	21	22	scale	scale	NOUN
fumecheng-7012	21	23	or	or	CCONJ
fumecheng-7012	21	24	the	the	DET
fumecheng-7012	21	25	so	so	ADV
fumecheng-7012	21	26	-	-	PUNCT
fumecheng-7012	21	27	called	call	VERB
fumecheng-7012	21	28	“	"	PUNCT
fumecheng-7012	21	29	nonlocal	nonlocal	ADJ
fumecheng-7012	21	30	”	"	PUNCT
fumecheng-7012	21	31	effect	effect	NOUN
fumecheng-7012	21	32	,	,	PUNCT
fumecheng-7012	21	33	which	which	PRON
fumecheng-7012	21	34	introduces	introduce	VERB
fumecheng-7012	21	35	additional	additional	ADJ
fumecheng-7012	21	36	material	material	NOUN
fumecheng-7012	21	37	length	length	NOUN
fumecheng-7012	21	38	-	-	PUNCT
fumecheng-7012	21	39	scale	scale	NOUN
fumecheng-7012	21	40	parameters	parameter	NOUN
fumecheng-7012	21	41	in	in	ADP
fumecheng-7012	21	42	nonlocal	nonlocal	ADJ
fumecheng-7012	21	43	elasticity	elasticity	NOUN
fumecheng-7012	21	44	theory	theory	NOUN
fumecheng-7012	21	45	[	[	X
fumecheng-7012	21	46	13	13	NUM
fumecheng-7012	21	47	-	-	SYM
fumecheng-7012	21	48	14	14	NUM
fumecheng-7012	21	49	]	]	PUNCT
fumecheng-7012	21	50	,	,	PUNCT
fumecheng-7012	21	51	couple	couple	NOUN
fumecheng-7012	21	52	stress	stress	NOUN
fumecheng-7012	21	53	theory	theory	NOUN
fumecheng-7012	21	54	[	[	X
fumecheng-7012	21	55	15	15	NUM
fumecheng-7012	21	56	]	]	PUNCT
fumecheng-7012	21	57	,	,	PUNCT
fumecheng-7012	21	58	modified	modify	VERB
fumecheng-7012	21	59	couple	couple	NOUN
fumecheng-7012	21	60	stress	stress	NOUN
fumecheng-7012	21	61	theory	theory	NOUN
fumecheng-7012	21	62	[	[	X
fumecheng-7012	21	63	16	16	NUM
fumecheng-7012	21	64	-	-	SYM
fumecheng-7012	21	65	17	17	NUM
fumecheng-7012	21	66	]	]	PUNCT
fumecheng-7012	21	67	,	,	PUNCT
fumecheng-7012	21	68	strain	strain	VERB
fumecheng-7012	21	69	gradient	gradient	ADJ
fumecheng-7012	21	70	theory	theory	NOUN
fumecheng-7012	21	71	[	[	X
fumecheng-7012	21	72	18	18	NUM
fumecheng-7012	21	73	-	-	SYM
fumecheng-7012	21	74	19	19	NUM
fumecheng-7012	21	75	]	]	PUNCT
fumecheng-7012	21	76	,	,	PUNCT
fumecheng-7012	21	77	or	or	CCONJ
fumecheng-7012	21	78	in	in	ADP
fumecheng-7012	21	79	modified	modified	ADJ
fumecheng-7012	21	80	strain	strain	NOUN
fumecheng-7012	21	81	gradient	gradient	NOUN
fumecheng-7012	21	82	[	[	X
fumecheng-7012	21	83	20	20	NUM
fumecheng-7012	21	84	-	-	SYM
fumecheng-7012	21	85	21	21	NUM
fumecheng-7012	21	86	]	]	PUNCT
fumecheng-7012	21	87	.	.	PUNCT
fumecheng-7012	22	1	in	in	ADP
fumecheng-7012	22	2	the	the	DET
fumecheng-7012	22	3	last	last	ADJ
fumecheng-7012	22	4	twenty	twenty	NUM
fumecheng-7012	22	5	years	year	NOUN
fumecheng-7012	22	6	,	,	PUNCT
fumecheng-7012	22	7	the	the	DET
fumecheng-7012	22	8	nonlocal	nonlocal	ADJ
fumecheng-7012	22	9	elasticity	elasticity	NOUN
fumecheng-7012	22	10	theory	theory	NOUN
fumecheng-7012	22	11	of	of	ADP
fumecheng-7012	22	12	eringen	eringen	PROPN
fumecheng-7012	23	1	[	[	X
fumecheng-7012	23	2	13	13	NUM
fumecheng-7012	23	3	-	-	SYM
fumecheng-7012	23	4	14	14	NUM
fumecheng-7012	23	5	]	]	PUNCT
fumecheng-7012	23	6	was	be	AUX
fumecheng-7012	23	7	the	the	DET
fumecheng-7012	23	8	most	most	ADV
fumecheng-7012	23	9	popular	popular	ADJ
fumecheng-7012	23	10	for	for	ADP
fumecheng-7012	23	11	addressing	address	VERB
fumecheng-7012	23	12	sizescale	sizescale	ADJ
fumecheng-7012	23	13	effect	effect	NOUN
fumecheng-7012	23	14	,	,	PUNCT
fumecheng-7012	23	15	and	and	CCONJ
fumecheng-7012	23	16	was	be	AUX
fumecheng-7012	23	17	widely	widely	ADV
fumecheng-7012	23	18	applied	apply	VERB
fumecheng-7012	23	19	in	in	ADP
fumecheng-7012	23	20	several	several	ADJ
fumecheng-7012	23	21	studies	study	NOUN
fumecheng-7012	23	22	of	of	ADP
fumecheng-7012	23	23	nanostructures	nanostructure	NOUN
fumecheng-7012	23	24	[	[	X
fumecheng-7012	23	25	22	22	NUM
fumecheng-7012	23	26	-	-	SYM
fumecheng-7012	23	27	24	24	NUM
fumecheng-7012	23	28	]	]	PUNCT
fumecheng-7012	23	29	.	.	PUNCT
fumecheng-7012	24	1	however	however	ADV
fumecheng-7012	24	2	,	,	PUNCT
fumecheng-7012	24	3	there	there	PRON
fumecheng-7012	24	4	are	be	VERB
fumecheng-7012	24	5	paradoxical	paradoxical	ADJ
fumecheng-7012	24	6	results	result	NOUN
fumecheng-7012	24	7	(	(	PUNCT
fumecheng-7012	24	8	the	the	DET
fumecheng-7012	24	9	vanishing	vanishing	NOUN
fumecheng-7012	24	10	of	of	ADP
fumecheng-7012	24	11	nonlocal	nonlocal	ADJ
fumecheng-7012	24	12	effect	effect	NOUN
fumecheng-7012	24	13	)	)	PUNCT
fumecheng-7012	24	14	in	in	ADP
fumecheng-7012	24	15	the	the	DET
fumecheng-7012	24	16	modeled	model	VERB
fumecheng-7012	24	17	responses	response	NOUN
fumecheng-7012	24	18	of	of	ADP
fumecheng-7012	24	19	nanostructures	nanostructure	NOUN
fumecheng-7012	24	20	,	,	PUNCT
fumecheng-7012	24	21	such	such	ADJ
fumecheng-7012	24	22	as	as	ADP
fumecheng-7012	24	23	for	for	ADP
fumecheng-7012	24	24	a	a	DET
fumecheng-7012	24	25	cantilever	cantilever	NOUN
fumecheng-7012	24	26	beam	beam	NOUN
fumecheng-7012	24	27	subjected	subject	VERB
fumecheng-7012	24	28	to	to	ADP
fumecheng-7012	24	29	an	an	DET
fumecheng-7012	24	30	end	end	NOUN
fumecheng-7012	24	31	load	load	NOUN
fumecheng-7012	24	32	[	[	X
fumecheng-7012	24	33	2526	2526	NUM
fumecheng-7012	24	34	]	]	PUNCT
fumecheng-7012	24	35	.	.	PUNCT
fumecheng-7012	25	1	romano	romano	NOUN
fumecheng-7012	25	2	et	et	PROPN
fumecheng-7012	25	3	al	al	PROPN
fumecheng-7012	25	4	.	.	PUNCT
fumecheng-7012	26	1	[	[	X
fumecheng-7012	26	2	27	27	NUM
fumecheng-7012	26	3	]	]	PUNCT
fumecheng-7012	26	4	reported	report	VERB
fumecheng-7012	26	5	that	that	SCONJ
fumecheng-7012	26	6	this	this	DET
fumecheng-7012	26	7	paradox	paradox	NOUN
fumecheng-7012	26	8	is	be	AUX
fumecheng-7012	26	9	caused	cause	VERB
fumecheng-7012	26	10	by	by	ADP
fumecheng-7012	26	11	the	the	DET
fumecheng-7012	26	12	incompatibility	incompatibility	NOUN
fumecheng-7012	26	13	of	of	ADP
fumecheng-7012	26	14	equilibrium	equilibrium	NOUN
fumecheng-7012	26	15	equations	equation	NOUN
fumecheng-7012	26	16	and	and	CCONJ
fumecheng-7012	26	17	constitutive	constitutive	ADJ
fumecheng-7012	26	18	boundary	boundary	ADJ
fumecheng-7012	26	19	terms	term	NOUN
fumecheng-7012	26	20	.	.	PUNCT
fumecheng-7012	27	1	to	to	PART
fumecheng-7012	27	2	avoid	avoid	VERB
fumecheng-7012	27	3	the	the	DET
fumecheng-7012	27	4	ill	ill	ADJ
fumecheng-7012	27	5	-	-	PUNCT
fumecheng-7012	27	6	posedness	posedness	NOUN
fumecheng-7012	27	7	of	of	ADP
fumecheng-7012	27	8	eringen	eringen	PROPN
fumecheng-7012	27	9	nonlocal	nonlocal	ADJ
fumecheng-7012	27	10	elasticity	elasticity	NOUN
fumecheng-7012	27	11	theory	theory	NOUN
fumecheng-7012	27	12	,	,	PUNCT
fumecheng-7012	27	13	peddieson	peddieson	NOUN
fumecheng-7012	27	14	et	et	NOUN
fumecheng-7012	27	15	al	al	PROPN
fumecheng-7012	27	16	.	.	PUNCT
fumecheng-7012	28	1	[	[	X
fumecheng-7012	28	2	25	25	NUM
fumecheng-7012	28	3	]	]	PUNCT
fumecheng-7012	28	4	suggested	suggest	VERB
fumecheng-7012	28	5	the	the	DET
fumecheng-7012	28	6	nonlocal	nonlocal	ADJ
fumecheng-7012	28	7	strain	strain	NOUN
fumecheng-7012	28	8	gradient	gradient	NOUN
fumecheng-7012	28	9	theory	theory	NOUN
fumecheng-7012	28	10	as	as	SCONJ
fumecheng-7012	28	11	expanded	expand	VERB
fumecheng-7012	28	12	from	from	ADP
fumecheng-7012	28	13	the	the	DET
fumecheng-7012	28	14	general	general	ADJ
fumecheng-7012	28	15	integral	integral	ADJ
fumecheng-7012	28	16	constitutive	constitutive	ADJ
fumecheng-7012	28	17	equation	equation	NOUN
fumecheng-7012	28	18	of	of	ADP
fumecheng-7012	28	19	eringen	eringen	PROPN
fumecheng-7012	28	20	nonlocal	nonlocal	ADJ
fumecheng-7012	28	21	elasticity	elasticity	NOUN
fumecheng-7012	28	22	theory	theory	NOUN
fumecheng-7012	28	23	[	[	X
fumecheng-7012	28	24	14	14	NUM
fumecheng-7012	28	25	]	]	PUNCT
fumecheng-7012	28	26	.	.	PUNCT
fumecheng-7012	29	1	when	when	SCONJ
fumecheng-7012	29	2	only	only	ADV
fumecheng-7012	29	3	the	the	DET
fumecheng-7012	29	4	first	first	ADJ
fumecheng-7012	29	5	two	two	NUM
fumecheng-7012	29	6	terms	term	NOUN
fumecheng-7012	29	7	were	be	AUX
fumecheng-7012	29	8	considered	consider	VERB
fumecheng-7012	29	9	,	,	PUNCT
fumecheng-7012	29	10	the	the	DET
fumecheng-7012	29	11	general	general	ADJ
fumecheng-7012	29	12	form	form	NOUN
fumecheng-7012	29	13	of	of	ADP
fumecheng-7012	29	14	the	the	DET
fumecheng-7012	29	15	stress	stress	NOUN
fumecheng-7012	29	16	-	-	PUNCT
fumecheng-7012	29	17	strain	strain	NOUN
fumecheng-7012	29	18	relation	relation	NOUN
fumecheng-7012	29	19	based	base	VERB
fumecheng-7012	29	20	on	on	ADP
fumecheng-7012	29	21	the	the	DET
fumecheng-7012	29	22	nonlocal	nonlocal	ADJ
fumecheng-7012	29	23	strain	strain	NOUN
fumecheng-7012	29	24	gradient	gradient	NOUN
fumecheng-7012	29	25	theory	theory	NOUN
fumecheng-7012	29	26	was	be	AUX
fumecheng-7012	29	27	similar	similar	ADJ
fumecheng-7012	29	28	to	to	ADP
fumecheng-7012	29	29	the	the	DET
fumecheng-7012	29	30	form	form	NOUN
fumecheng-7012	29	31	of	of	ADP
fumecheng-7012	29	32	the	the	DET
fumecheng-7012	29	33	simplified	simplified	ADJ
fumecheng-7012	29	34	strain	strain	NOUN
fumecheng-7012	29	35	-	-	PUNCT
fumecheng-7012	29	36	gradient	gradient	NOUN
fumecheng-7012	29	37	elasticity	elasticity	NOUN
fumecheng-7012	29	38	model	model	NOUN
fumecheng-7012	29	39	as	as	ADP
fumecheng-7012	29	40	proposed	propose	VERB
fumecheng-7012	29	41	altan	altan	NOUN
fumecheng-7012	29	42	and	and	CCONJ
fumecheng-7012	29	43	aifantis	aifantis	PROPN
fumecheng-7012	29	44	[	[	X
fumecheng-7012	29	45	28	28	NUM
fumecheng-7012	29	46	]	]	PUNCT
fumecheng-7012	29	47	.	.	PUNCT
fumecheng-7012	30	1	this	this	PRON
fumecheng-7012	30	2	led	lead	VERB
fumecheng-7012	30	3	to	to	ADP
fumecheng-7012	30	4	the	the	DET
fumecheng-7012	30	5	so	so	ADV
fumecheng-7012	30	6	-	-	PUNCT
fumecheng-7012	30	7	called	call	VERB
fumecheng-7012	30	8	“	"	PUNCT
fumecheng-7012	30	9	second	second	ADJ
fumecheng-7012	30	10	-	-	PUNCT
fumecheng-7012	30	11	order	order	NOUN
fumecheng-7012	30	12	”	"	PUNCT
fumecheng-7012	30	13	nonlocal	nonlocal	ADJ
fumecheng-7012	30	14	strain	strain	NOUN
fumecheng-7012	30	15	gradient	gradient	NOUN
fumecheng-7012	30	16	model	model	NOUN
fumecheng-7012	30	17	[	[	X
fumecheng-7012	30	18	29	29	NUM
fumecheng-7012	30	19	-	-	SYM
fumecheng-7012	30	20	30	30	NUM
fumecheng-7012	30	21	]	]	PUNCT
fumecheng-7012	30	22	.	.	PUNCT
fumecheng-7012	31	1	the	the	DET
fumecheng-7012	31	2	performance	performance	NOUN
fumecheng-7012	31	3	of	of	ADP
fumecheng-7012	31	4	this	this	DET
fumecheng-7012	31	5	nonlocal	nonlocal	ADJ
fumecheng-7012	31	6	constitutive	constitutive	ADJ
fumecheng-7012	31	7	model	model	NOUN
fumecheng-7012	31	8	has	have	AUX
fumecheng-7012	31	9	been	be	AUX
fumecheng-7012	31	10	investigated	investigate	VERB
fumecheng-7012	31	11	by	by	ADP
fumecheng-7012	31	12	several	several	ADJ
fumecheng-7012	31	13	researchers	researcher	NOUN
fumecheng-7012	31	14	[	[	X
fumecheng-7012	31	15	23	23	NUM
fumecheng-7012	31	16	,	,	PUNCT
fumecheng-7012	31	17	29	29	NUM
fumecheng-7012	31	18	,	,	PUNCT
fumecheng-7012	31	19	31	31	NUM
fumecheng-7012	31	20	-	-	SYM
fumecheng-7012	31	21	37	37	NUM
fumecheng-7012	31	22	]	]	PUNCT
fumecheng-7012	31	23	.	.	PUNCT
fumecheng-7012	32	1	for	for	ADP
fumecheng-7012	32	2	example	example	NOUN
fumecheng-7012	32	3	,	,	PUNCT
fumecheng-7012	32	4	zaera	zaera	PROPN
fumecheng-7012	32	5	et	et	PROPN
fumecheng-7012	32	6	al	al	PROPN
fumecheng-7012	32	7	.	.	PUNCT
fumecheng-7012	33	1	[	[	X
fumecheng-7012	33	2	31	31	NUM
fumecheng-7012	33	3	]	]	PUNCT
fumecheng-7012	33	4	studied	study	VERB
fumecheng-7012	33	5	the	the	DET
fumecheng-7012	33	6	inconsistency	inconsistency	NOUN
fumecheng-7012	33	7	of	of	ADP
fumecheng-7012	33	8	the	the	DET
fumecheng-7012	33	9	strain	strain	NOUN
fumecheng-7012	33	10	gradient	gradient	NOUN
fumecheng-7012	33	11	model	model	NOUN
fumecheng-7012	33	12	with	with	ADP
fumecheng-7012	33	13	the	the	DET
fumecheng-7012	33	14	boundary	boundary	ADJ
fumecheng-7012	33	15	terms	term	NOUN
fumecheng-7012	33	16	.	.	PUNCT
fumecheng-7012	34	1	khodabakhshi	khodabakhshi	PROPN
fumecheng-7012	34	2	and	and	CCONJ
fumecheng-7012	34	3	reddy	reddy	PROPN
fumecheng-7012	35	1	[	[	X
fumecheng-7012	35	2	23	23	NUM
fumecheng-7012	35	3	]	]	PUNCT
fumecheng-7012	35	4	presented	present	VERB
fumecheng-7012	35	5	the	the	DET
fumecheng-7012	35	6	governing	govern	VERB
fumecheng-7012	35	7	equations	equation	NOUN
fumecheng-7012	35	8	and	and	CCONJ
fumecheng-7012	35	9	boundary	boundary	ADJ
fumecheng-7012	35	10	terms	term	NOUN
fumecheng-7012	35	11	of	of	ADP
fumecheng-7012	35	12	the	the	DET
fumecheng-7012	35	13	strain	strain	NOUN
fumecheng-7012	35	14	gradient	gradient	NOUN
fumecheng-7012	35	15	beam	beam	NOUN
fumecheng-7012	35	16	model	model	NOUN
fumecheng-7012	35	17	based	base	VERB
fumecheng-7012	35	18	on	on	ADP
fumecheng-7012	35	19	von	von	PROPN
fumecheng-7012	35	20	karman	karman	PROPN
fumecheng-7012	35	21	nonlinearity	nonlinearity	PROPN
fumecheng-7012	35	22	in	in	ADP
fumecheng-7012	35	23	the	the	DET
fumecheng-7012	35	24	euler	euler	NOUN
fumecheng-7012	35	25	-	-	PUNCT
fumecheng-7012	35	26	bernoulli	bernoulli	PROPN
fumecheng-7012	35	27	beam	beam	NOUN
fumecheng-7012	35	28	theory	theory	NOUN
fumecheng-7012	35	29	,	,	PUNCT
fumecheng-7012	35	30	timoshenko	timoshenko	NOUN
fumecheng-7012	35	31	beam	beam	NOUN
fumecheng-7012	35	32	theory	theory	NOUN
fumecheng-7012	35	33	,	,	PUNCT
fumecheng-7012	35	34	and	and	CCONJ
fumecheng-7012	35	35	thirdorder	thirdorder	PROPN
fumecheng-7012	35	36	reddy	reddy	PROPN
fumecheng-7012	35	37	beam	beam	PROPN
fumecheng-7012	35	38	theory	theory	PROPN
fumecheng-7012	35	39	.	.	PUNCT
fumecheng-7012	36	1	kong	kong	PROPN
fumecheng-7012	36	2	et	et	PROPN
fumecheng-7012	36	3	al	al	PROPN
fumecheng-7012	36	4	.	.	PUNCT
fumecheng-7012	37	1	[	[	X
fumecheng-7012	37	2	32	32	NUM
fumecheng-7012	37	3	]	]	PUNCT
fumecheng-7012	37	4	used	use	VERB
fumecheng-7012	37	5	the	the	DET
fumecheng-7012	37	6	strain	strain	NOUN
fumecheng-7012	37	7	gradient	gradient	NOUN
fumecheng-7012	37	8	theory	theory	NOUN
fumecheng-7012	37	9	to	to	PART
fumecheng-7012	37	10	investigate	investigate	VERB
fumecheng-7012	37	11	static	static	ADJ
fumecheng-7012	37	12	and	and	CCONJ
fumecheng-7012	37	13	dynamic	dynamic	ADJ
fumecheng-7012	37	14	characteristics	characteristic	NOUN
fumecheng-7012	37	15	of	of	ADP
fumecheng-7012	37	16	euler	euler	NOUN
fumecheng-7012	37	17	-	-	PUNCT
fumecheng-7012	37	18	bernoulli	bernoulli	NOUN
fumecheng-7012	37	19	beams	beam	NOUN
fumecheng-7012	37	20	.	.	PUNCT
fumecheng-7012	38	1	barretta	barretta	NOUN
fumecheng-7012	38	2	and	and	CCONJ
fumecheng-7012	38	3	marotti	marotti	PROPN
fumecheng-7012	38	4	de	de	X
fumecheng-7012	38	5	sciarra	sciarra	NOUN
fumecheng-7012	38	6	[	[	X
fumecheng-7012	38	7	33	33	NUM
fumecheng-7012	38	8	]	]	PUNCT
fumecheng-7012	38	9	proposed	propose	VERB
fumecheng-7012	38	10	a	a	DET
fumecheng-7012	38	11	strain	strain	NOUN
fumecheng-7012	38	12	gradient	gradient	NOUN
fumecheng-7012	38	13	constitutive	constitutive	ADJ
fumecheng-7012	38	14	model	model	NOUN
fumecheng-7012	38	15	based	base	VERB
fumecheng-7012	38	16	on	on	ADP
fumecheng-7012	38	17	a	a	DET
fumecheng-7012	38	18	consistent	consistent	ADJ
fumecheng-7012	38	19	thermodynamic	thermodynamic	ADJ
fumecheng-7012	38	20	approach	approach	NOUN
fumecheng-7012	38	21	for	for	ADP
fumecheng-7012	38	22	the	the	DET
fumecheng-7012	38	23	analysis	analysis	NOUN
fumecheng-7012	38	24	of	of	ADP
fumecheng-7012	38	25	carbon	carbon	NOUN
fumecheng-7012	38	26	nanotubes	nanotube	NOUN
fumecheng-7012	38	27	(	(	PUNCT
fumecheng-7012	38	28	cnts	cnts	PROPN
fumecheng-7012	38	29	)	)	PUNCT
fumecheng-7012	38	30	.	.	PUNCT
fumecheng-7012	39	1	this	this	DET
fumecheng-7012	39	2	concept	concept	NOUN
fumecheng-7012	39	3	was	be	AUX
fumecheng-7012	39	4	later	later	ADV
fumecheng-7012	39	5	applied	apply	VERB
fumecheng-7012	39	6	to	to	ADP
fumecheng-7012	39	7	fourth	fourth	ADJ
fumecheng-7012	39	8	-	-	PUNCT
fumecheng-7012	39	9	order	order	NOUN
fumecheng-7012	39	10	strain	strain	NOUN
fumecheng-7012	39	11	gradient	gradient	ADJ
fumecheng-7012	39	12	bar	bar	NOUN
fumecheng-7012	39	13	-	-	PUNCT
fumecheng-7012	39	14	substrate	substrate	NOUN
fumecheng-7012	39	15	model	model	NOUN
fumecheng-7012	39	16	with	with	ADP
fumecheng-7012	39	17	nonlocal	nonlocal	ADJ
fumecheng-7012	39	18	and	and	CCONJ
fumecheng-7012	39	19	surface	surface	NOUN
fumecheng-7012	39	20	effects	effect	NOUN
fumecheng-7012	39	21	...	...	PUNCT
fumecheng-7012	39	22	659	659	NUM
fumecheng-7012	39	23	establish	establish	VERB
fumecheng-7012	39	24	the	the	DET
fumecheng-7012	39	25	modified	modified	ADJ
fumecheng-7012	39	26	constitutive	constitutive	ADJ
fumecheng-7012	39	27	laws	law	NOUN
fumecheng-7012	39	28	for	for	ADP
fumecheng-7012	39	29	euler	euler	NOUN
fumecheng-7012	39	30	-	-	PUNCT
fumecheng-7012	39	31	bernoulli	bernoulli	NOUN
fumecheng-7012	39	32	nanobeams	nanobeam	NOUN
fumecheng-7012	39	33	[	[	X
fumecheng-7012	39	34	34	34	NUM
fumecheng-7012	39	35	-	-	SYM
fumecheng-7012	39	36	35	35	NUM
fumecheng-7012	39	37	]	]	PUNCT
fumecheng-7012	39	38	,	,	PUNCT
fumecheng-7012	39	39	timoshenko	timoshenko	NOUN
fumecheng-7012	39	40	nanobeams	nanobeam	NOUN
fumecheng-7012	39	41	[	[	X
fumecheng-7012	39	42	36	36	NUM
fumecheng-7012	39	43	]	]	PUNCT
fumecheng-7012	39	44	,	,	PUNCT
fumecheng-7012	39	45	and	and	CCONJ
fumecheng-7012	39	46	a	a	DET
fumecheng-7012	39	47	nanowire	nanowire	NOUN
fumecheng-7012	40	1	[	[	X
fumecheng-7012	40	2	37	37	NUM
fumecheng-7012	40	3	]	]	PUNCT
fumecheng-7012	40	4	.	.	PUNCT
fumecheng-7012	41	1	narendar	narendar	NOUN
fumecheng-7012	41	2	and	and	CCONJ
fumecheng-7012	41	3	gopalakrishnan	gopalakrishnan	VERB
fumecheng-7012	41	4	[	[	X
fumecheng-7012	41	5	29	29	NUM
fumecheng-7012	41	6	]	]	PUNCT
fumecheng-7012	41	7	studied	study	VERB
fumecheng-7012	41	8	an	an	DET
fumecheng-7012	41	9	ultrasonic	ultrasonic	ADJ
fumecheng-7012	41	10	wave	wave	NOUN
fumecheng-7012	41	11	dispersion	dispersion	NOUN
fumecheng-7012	41	12	characteristics	characteristic	NOUN
fumecheng-7012	41	13	of	of	ADP
fumecheng-7012	41	14	a	a	DET
fumecheng-7012	41	15	nanorod	nanorod	NOUN
fumecheng-7012	41	16	based	base	VERB
fumecheng-7012	41	17	on	on	ADP
fumecheng-7012	41	18	nonlocal	nonlocal	ADJ
fumecheng-7012	41	19	strain	strain	NOUN
fumecheng-7012	41	20	gradient	gradient	NOUN
fumecheng-7012	41	21	model	model	NOUN
fumecheng-7012	41	22	.	.	PUNCT
fumecheng-7012	42	1	these	these	DET
fumecheng-7012	42	2	studies	study	NOUN
fumecheng-7012	42	3	have	have	AUX
fumecheng-7012	42	4	confirmed	confirm	VERB
fumecheng-7012	42	5	the	the	DET
fumecheng-7012	42	6	superiority	superiority	NOUN
fumecheng-7012	42	7	of	of	ADP
fumecheng-7012	42	8	the	the	DET
fumecheng-7012	42	9	strain	strain	NOUN
fumecheng-7012	42	10	gradient	gradient	NOUN
fumecheng-7012	42	11	model	model	NOUN
fumecheng-7012	42	12	.	.	PUNCT
fumecheng-7012	43	1	in	in	ADP
fumecheng-7012	43	2	this	this	DET
fumecheng-7012	43	3	work	work	NOUN
fumecheng-7012	43	4	,	,	PUNCT
fumecheng-7012	43	5	the	the	DET
fumecheng-7012	43	6	nonlocal	nonlocal	ADJ
fumecheng-7012	43	7	strain	strain	NOUN
fumecheng-7012	43	8	gradient	gradient	NOUN
fumecheng-7012	43	9	model	model	NOUN
fumecheng-7012	43	10	based	base	VERB
fumecheng-7012	43	11	on	on	ADP
fumecheng-7012	43	12	the	the	DET
fumecheng-7012	43	13	thermodynamic	thermodynamic	ADJ
fumecheng-7012	43	14	framework	framework	NOUN
fumecheng-7012	43	15	is	be	AUX
fumecheng-7012	43	16	chosen	choose	VERB
fumecheng-7012	43	17	to	to	PART
fumecheng-7012	43	18	improve	improve	VERB
fumecheng-7012	43	19	the	the	DET
fumecheng-7012	43	20	proposed	propose	VERB
fumecheng-7012	43	21	model	model	NOUN
fumecheng-7012	43	22	and	and	CCONJ
fumecheng-7012	43	23	to	to	PART
fumecheng-7012	43	24	eliminate	eliminate	VERB
fumecheng-7012	43	25	the	the	DET
fumecheng-7012	43	26	paradoxical	paradoxical	ADJ
fumecheng-7012	43	27	results	result	NOUN
fumecheng-7012	43	28	.	.	PUNCT
fumecheng-7012	44	1	the	the	DET
fumecheng-7012	44	2	size	size	NOUN
fumecheng-7012	44	3	-	-	PUNCT
fumecheng-7012	44	4	dependent	dependent	ADJ
fumecheng-7012	44	5	effect	effect	NOUN
fumecheng-7012	44	6	or	or	CCONJ
fumecheng-7012	44	7	the	the	DET
fumecheng-7012	44	8	so	so	ADV
fumecheng-7012	44	9	-	-	PUNCT
fumecheng-7012	44	10	called	call	VERB
fumecheng-7012	44	11	“	"	PUNCT
fumecheng-7012	44	12	surface	surface	NOUN
fumecheng-7012	44	13	energy	energy	NOUN
fumecheng-7012	44	14	”	"	PUNCT
fumecheng-7012	44	15	is	be	AUX
fumecheng-7012	44	16	caused	cause	VERB
fumecheng-7012	44	17	by	by	ADP
fumecheng-7012	44	18	altered	altered	ADJ
fumecheng-7012	44	19	energy	energy	NOUN
fumecheng-7012	44	20	of	of	ADP
fumecheng-7012	44	21	the	the	DET
fumecheng-7012	44	22	atoms	atom	NOUN
fumecheng-7012	44	23	at	at	ADP
fumecheng-7012	44	24	a	a	DET
fumecheng-7012	44	25	free	free	ADJ
fumecheng-7012	44	26	surface	surface	NOUN
fumecheng-7012	44	27	.	.	PUNCT
fumecheng-7012	45	1	this	this	DET
fumecheng-7012	45	2	effect	effect	NOUN
fumecheng-7012	45	3	often	often	ADV
fumecheng-7012	45	4	plays	play	VERB
fumecheng-7012	45	5	a	a	DET
fumecheng-7012	45	6	greater	great	ADJ
fumecheng-7012	45	7	role	role	NOUN
fumecheng-7012	45	8	in	in	ADP
fumecheng-7012	45	9	the	the	DET
fumecheng-7012	45	10	mechanical	mechanical	ADJ
fumecheng-7012	45	11	responses	response	NOUN
fumecheng-7012	45	12	of	of	ADP
fumecheng-7012	45	13	small	small	ADJ
fumecheng-7012	45	14	-	-	PUNCT
fumecheng-7012	45	15	scale	scale	NOUN
fumecheng-7012	45	16	structures	structure	NOUN
fumecheng-7012	45	17	,	,	PUNCT
fumecheng-7012	45	18	when	when	SCONJ
fumecheng-7012	45	19	the	the	DET
fumecheng-7012	45	20	surface	surface	NOUN
fumecheng-7012	45	21	-	-	PUNCT
fumecheng-7012	45	22	to	to	ADP
fumecheng-7012	45	23	-	-	PUNCT
fumecheng-7012	45	24	volume	volume	NOUN
fumecheng-7012	45	25	ratio	ratio	NOUN
fumecheng-7012	45	26	is	be	AUX
fumecheng-7012	45	27	large	large	ADJ
fumecheng-7012	45	28	,	,	PUNCT
fumecheng-7012	45	29	as	as	SCONJ
fumecheng-7012	45	30	found	find	VERB
fumecheng-7012	45	31	in	in	ADP
fumecheng-7012	45	32	several	several	ADJ
fumecheng-7012	45	33	publications	publication	NOUN
fumecheng-7012	46	1	[	[	X
fumecheng-7012	46	2	38	38	NUM
fumecheng-7012	46	3	-	-	SYM
fumecheng-7012	46	4	41	41	NUM
fumecheng-7012	46	5	]	]	PUNCT
fumecheng-7012	46	6	.	.	PUNCT
fumecheng-7012	47	1	to	to	PART
fumecheng-7012	47	2	incorporate	incorporate	VERB
fumecheng-7012	47	3	the	the	DET
fumecheng-7012	47	4	surface	surface	NOUN
fumecheng-7012	47	5	energy	energy	NOUN
fumecheng-7012	47	6	within	within	ADP
fumecheng-7012	47	7	the	the	DET
fumecheng-7012	47	8	continuum	continuum	ADJ
fumecheng-7012	47	9	model	model	NOUN
fumecheng-7012	47	10	,	,	PUNCT
fumecheng-7012	47	11	gurtin	gurtin	NOUN
fumecheng-7012	47	12	and	and	CCONJ
fumecheng-7012	47	13	murdoch	murdoch	PROPN
fumecheng-7012	48	1	[	[	X
fumecheng-7012	48	2	42	42	NUM
fumecheng-7012	48	3	-	-	SYM
fumecheng-7012	48	4	43	43	NUM
fumecheng-7012	48	5	]	]	PUNCT
fumecheng-7012	48	6	proposed	propose	VERB
fumecheng-7012	48	7	a	a	DET
fumecheng-7012	48	8	surface	surface	NOUN
fumecheng-7012	48	9	elasticity	elasticity	NOUN
fumecheng-7012	48	10	theory	theory	NOUN
fumecheng-7012	48	11	and	and	CCONJ
fumecheng-7012	48	12	established	establish	VERB
fumecheng-7012	48	13	a	a	DET
fumecheng-7012	48	14	surface	surface	NOUN
fumecheng-7012	48	15	continuum	continuum	ADJ
fumecheng-7012	48	16	model	model	NOUN
fumecheng-7012	48	17	for	for	ADP
fumecheng-7012	48	18	isotropic	isotropic	ADJ
fumecheng-7012	48	19	materials	material	NOUN
fumecheng-7012	48	20	based	base	VERB
fumecheng-7012	48	21	on	on	ADP
fumecheng-7012	48	22	zero	zero	NUM
fumecheng-7012	48	23	thickness	thickness	NOUN
fumecheng-7012	48	24	of	of	ADP
fumecheng-7012	48	25	the	the	DET
fumecheng-7012	48	26	surface	surface	NOUN
fumecheng-7012	48	27	layer	layer	NOUN
fumecheng-7012	48	28	.	.	PUNCT
fumecheng-7012	49	1	to	to	PART
fumecheng-7012	49	2	confront	confront	VERB
fumecheng-7012	49	3	the	the	DET
fumecheng-7012	49	4	surface	surface	NOUN
fumecheng-7012	49	5	effect	effect	NOUN
fumecheng-7012	49	6	,	,	PUNCT
fumecheng-7012	49	7	a	a	DET
fumecheng-7012	49	8	lot	lot	NOUN
fumecheng-7012	49	9	of	of	ADP
fumecheng-7012	49	10	literature	literature	NOUN
fumecheng-7012	49	11	[	[	X
fumecheng-7012	49	12	24	24	NUM
fumecheng-7012	49	13	,	,	PUNCT
fumecheng-7012	49	14	44	44	NUM
fumecheng-7012	49	15	-	-	SYM
fumecheng-7012	49	16	48	48	NUM
fumecheng-7012	49	17	]	]	PUNCT
fumecheng-7012	49	18	has	have	AUX
fumecheng-7012	49	19	applied	apply	VERB
fumecheng-7012	49	20	the	the	DET
fumecheng-7012	49	21	gurtin	gurtin	NOUN
fumecheng-7012	49	22	and	and	CCONJ
fumecheng-7012	49	23	murdoch	murdoch	PROPN
fumecheng-7012	49	24	surface	surface	PROPN
fumecheng-7012	49	25	model	model	NOUN
fumecheng-7012	49	26	to	to	ADP
fumecheng-7012	49	27	nanostructures	nanostructure	NOUN
fumecheng-7012	49	28	.	.	PUNCT
fumecheng-7012	50	1	for	for	ADP
fumecheng-7012	50	2	example	example	NOUN
fumecheng-7012	50	3	,	,	PUNCT
fumecheng-7012	50	4	liu	liu	PROPN
fumecheng-7012	50	5	and	and	CCONJ
fumecheng-7012	50	6	rajapakse	rajapakse	VERB
fumecheng-7012	50	7	[	[	X
fumecheng-7012	50	8	44	44	NUM
fumecheng-7012	50	9	]	]	PUNCT
fumecheng-7012	50	10	studied	study	VERB
fumecheng-7012	50	11	the	the	DET
fumecheng-7012	50	12	static	static	ADJ
fumecheng-7012	50	13	and	and	CCONJ
fumecheng-7012	50	14	dynamic	dynamic	ADJ
fumecheng-7012	50	15	characteristics	characteristic	NOUN
fumecheng-7012	50	16	of	of	ADP
fumecheng-7012	50	17	elastic	elastic	ADJ
fumecheng-7012	50	18	nanobeams	nanobeam	NOUN
fumecheng-7012	50	19	under	under	ADP
fumecheng-7012	50	20	different	different	ADJ
fumecheng-7012	50	21	load	load	NOUN
fumecheng-7012	50	22	conditions	condition	NOUN
fumecheng-7012	50	23	.	.	PUNCT
fumecheng-7012	51	1	fu	fu	PROPN
fumecheng-7012	51	2	et	et	PROPN
fumecheng-7012	51	3	al	al	PROPN
fumecheng-7012	51	4	.	.	PUNCT
fumecheng-7012	52	1	[	[	X
fumecheng-7012	52	2	45	45	NUM
fumecheng-7012	52	3	]	]	PUNCT
fumecheng-7012	52	4	later	later	ADV
fumecheng-7012	52	5	extended	extend	VERB
fumecheng-7012	52	6	the	the	DET
fumecheng-7012	52	7	work	work	NOUN
fumecheng-7012	52	8	of	of	ADP
fumecheng-7012	52	9	liu	liu	PROPN
fumecheng-7012	52	10	and	and	CCONJ
fumecheng-7012	52	11	rajapakse	rajapakse	VERB
fumecheng-7012	52	12	[	[	X
fumecheng-7012	52	13	44	44	NUM
fumecheng-7012	52	14	]	]	PUNCT
fumecheng-7012	52	15	to	to	PART
fumecheng-7012	52	16	cover	cover	VERB
fumecheng-7012	52	17	the	the	DET
fumecheng-7012	52	18	nonlinear	nonlinear	ADJ
fumecheng-7012	52	19	analysis	analysis	NOUN
fumecheng-7012	52	20	of	of	ADP
fumecheng-7012	52	21	both	both	CCONJ
fumecheng-7012	52	22	static	static	ADJ
fumecheng-7012	52	23	and	and	CCONJ
fumecheng-7012	52	24	dynamic	dynamic	ADJ
fumecheng-7012	52	25	nanobeam	nanobeam	NOUN
fumecheng-7012	52	26	problems	problem	NOUN
fumecheng-7012	52	27	.	.	PUNCT
fumecheng-7012	53	1	limkatanyu	limkatanyu	VERB
fumecheng-7012	53	2	et	et	PROPN
fumecheng-7012	53	3	al	al	PROPN
fumecheng-7012	53	4	.	.	PUNCT
fumecheng-7012	54	1	[	[	X
fumecheng-7012	54	2	24	24	NUM
fumecheng-7012	54	3	]	]	PUNCT
fumecheng-7012	54	4	investigated	investigate	VERB
fumecheng-7012	54	5	the	the	DET
fumecheng-7012	54	6	flexural	flexural	ADJ
fumecheng-7012	54	7	responses	response	NOUN
fumecheng-7012	54	8	of	of	ADP
fumecheng-7012	54	9	nanobeams	nanobeam	NOUN
fumecheng-7012	54	10	based	base	VERB
fumecheng-7012	54	11	on	on	ADP
fumecheng-7012	54	12	the	the	DET
fumecheng-7012	54	13	eringen	eringen	PROPN
fumecheng-7012	54	14	nonlocal	nonlocal	ADJ
fumecheng-7012	54	15	elasticity	elasticity	NOUN
fumecheng-7012	54	16	theory	theory	NOUN
fumecheng-7012	54	17	,	,	PUNCT
fumecheng-7012	54	18	while	while	SCONJ
fumecheng-7012	54	19	fu	fu	PROPN
fumecheng-7012	54	20	et	et	PROPN
fumecheng-7012	54	21	al	al	PROPN
fumecheng-7012	54	22	.	.	PUNCT
fumecheng-7012	55	1	[	[	X
fumecheng-7012	55	2	46	46	NUM
fumecheng-7012	55	3	]	]	PUNCT
fumecheng-7012	55	4	studied	study	VERB
fumecheng-7012	55	5	these	these	DET
fumecheng-7012	55	6	responses	response	NOUN
fumecheng-7012	55	7	based	base	VERB
fumecheng-7012	55	8	on	on	ADP
fumecheng-7012	55	9	the	the	DET
fumecheng-7012	55	10	strain	strain	NOUN
fumecheng-7012	55	11	gradient	gradient	NOUN
fumecheng-7012	55	12	theory	theory	NOUN
fumecheng-7012	55	13	.	.	PUNCT
fumecheng-7012	56	1	furthermore	furthermore	ADV
fumecheng-7012	56	2	,	,	PUNCT
fumecheng-7012	56	3	lim	lim	PROPN
fumecheng-7012	56	4	and	and	CCONJ
fumecheng-7012	56	5	he	he	PRON
fumecheng-7012	57	1	[	[	X
fumecheng-7012	57	2	47	47	NUM
fumecheng-7012	57	3	]	]	PUNCT
fumecheng-7012	57	4	examined	examine	VERB
fumecheng-7012	57	5	the	the	DET
fumecheng-7012	57	6	buckling	buckle	VERB
fumecheng-7012	57	7	behavior	behavior	NOUN
fumecheng-7012	57	8	of	of	ADP
fumecheng-7012	57	9	a	a	DET
fumecheng-7012	57	10	micro	micro	NOUN
fumecheng-7012	57	11	/	/	NOUN
fumecheng-7012	57	12	nanofilm	nanofilm	NOUN
fumecheng-7012	57	13	in	in	ADP
fumecheng-7012	57	14	relation	relation	NOUN
fumecheng-7012	57	15	to	to	ADP
fumecheng-7012	57	16	the	the	DET
fumecheng-7012	57	17	nonlinear	nonlinear	ADJ
fumecheng-7012	57	18	buckling	buckling	NOUN
fumecheng-7012	57	19	characteristics	characteristic	NOUN
fumecheng-7012	57	20	of	of	ADP
fumecheng-7012	57	21	cylindrical	cylindrical	ADJ
fumecheng-7012	57	22	nanoshells	nanoshell	NOUN
fumecheng-7012	57	23	based	base	VERB
fumecheng-7012	57	24	on	on	ADP
fumecheng-7012	57	25	the	the	DET
fumecheng-7012	57	26	classical	classical	ADJ
fumecheng-7012	57	27	shell	shell	NOUN
fumecheng-7012	57	28	theory	theory	NOUN
fumecheng-7012	57	29	proposed	propose	VERB
fumecheng-7012	57	30	by	by	ADP
fumecheng-7012	57	31	sahmani	sahmani	PROPN
fumecheng-7012	57	32	et	et	PROPN
fumecheng-7012	57	33	al	al	PROPN
fumecheng-7012	57	34	.	.	PUNCT
fumecheng-7012	58	1	[	[	X
fumecheng-7012	58	2	48	48	NUM
fumecheng-7012	58	3	]	]	PUNCT
fumecheng-7012	58	4	.	.	PUNCT
fumecheng-7012	59	1	in	in	ADP
fumecheng-7012	59	2	this	this	DET
fumecheng-7012	59	3	current	current	ADJ
fumecheng-7012	59	4	work	work	NOUN
fumecheng-7012	59	5	,	,	PUNCT
fumecheng-7012	59	6	the	the	DET
fumecheng-7012	59	7	gurtin	gurtin	NOUN
fumecheng-7012	59	8	-	-	PUNCT
fumecheng-7012	59	9	murdoch	murdoch	PROPN
fumecheng-7012	59	10	model	model	NOUN
fumecheng-7012	59	11	[	[	X
fumecheng-7012	59	12	42	42	NUM
fumecheng-7012	59	13	-	-	SYM
fumecheng-7012	59	14	43	43	NUM
fumecheng-7012	59	15	]	]	PUNCT
fumecheng-7012	59	16	is	be	AUX
fumecheng-7012	59	17	applied	apply	VERB
fumecheng-7012	59	18	to	to	PART
fumecheng-7012	59	19	represent	represent	VERB
fumecheng-7012	59	20	the	the	DET
fumecheng-7012	59	21	surface	surface	NOUN
fumecheng-7012	59	22	surrounding	surround	VERB
fumecheng-7012	59	23	effect	effect	NOUN
fumecheng-7012	59	24	within	within	ADP
fumecheng-7012	59	25	a	a	DET
fumecheng-7012	59	26	uniaxial	uniaxial	ADJ
fumecheng-7012	59	27	member	member	NOUN
fumecheng-7012	59	28	in	in	ADP
fumecheng-7012	59	29	the	the	DET
fumecheng-7012	59	30	nanoscale	nanoscale	NOUN
fumecheng-7012	59	31	.	.	PUNCT
fumecheng-7012	60	1	among	among	ADP
fumecheng-7012	60	2	the	the	DET
fumecheng-7012	60	3	several	several	ADJ
fumecheng-7012	60	4	continuum	continuum	ADJ
fumecheng-7012	60	5	models	model	NOUN
fumecheng-7012	60	6	for	for	ADP
fumecheng-7012	60	7	the	the	DET
fumecheng-7012	60	8	analysis	analysis	NOUN
fumecheng-7012	60	9	of	of	ADP
fumecheng-7012	60	10	a	a	DET
fumecheng-7012	60	11	nanowire	nanowire	NOUN
fumecheng-7012	60	12	embedded	embed	VERB
fumecheng-7012	60	13	in	in	ADP
fumecheng-7012	60	14	a	a	DET
fumecheng-7012	60	15	substrate	substrate	NOUN
fumecheng-7012	60	16	,	,	PUNCT
fumecheng-7012	60	17	many	many	ADJ
fumecheng-7012	60	18	approaches	approach	NOUN
fumecheng-7012	60	19	were	be	AUX
fumecheng-7012	60	20	used	use	VERB
fumecheng-7012	60	21	to	to	PART
fumecheng-7012	60	22	establish	establish	VERB
fumecheng-7012	60	23	the	the	DET
fumecheng-7012	60	24	nanobar	nanobar	ADJ
fumecheng-7012	60	25	-	-	PUNCT
fumecheng-7012	60	26	substrate	substrate	NOUN
fumecheng-7012	60	27	models	model	NOUN
fumecheng-7012	60	28	.	.	PUNCT
fumecheng-7012	61	1	for	for	ADP
fumecheng-7012	61	2	example	example	NOUN
fumecheng-7012	61	3	,	,	PUNCT
fumecheng-7012	61	4	limkatanyu	limkatanyu	VERB
fumecheng-7012	61	5	et	et	PROPN
fumecheng-7012	61	6	al	al	PROPN
fumecheng-7012	61	7	.	.	PUNCT
fumecheng-7012	62	1	[	[	X
fumecheng-7012	62	2	49	49	NUM
fumecheng-7012	62	3	-	-	SYM
fumecheng-7012	62	4	50	50	NUM
fumecheng-7012	62	5	]	]	PUNCT
fumecheng-7012	62	6	proposed	propose	VERB
fumecheng-7012	62	7	nonlocal	nonlocal	ADJ
fumecheng-7012	62	8	bar	bar	NOUN
fumecheng-7012	62	9	-	-	PUNCT
fumecheng-7012	62	10	substrate	substrate	NOUN
fumecheng-7012	62	11	elements	element	NOUN
fumecheng-7012	62	12	based	base	VERB
fumecheng-7012	62	13	on	on	ADP
fumecheng-7012	62	14	the	the	DET
fumecheng-7012	62	15	nonlocal	nonlocal	ADJ
fumecheng-7012	62	16	elasticity	elasticity	NOUN
fumecheng-7012	62	17	theory	theory	NOUN
fumecheng-7012	62	18	of	of	ADP
fumecheng-7012	62	19	eringen	eringen	PROPN
fumecheng-7012	62	20	[	[	X
fumecheng-7012	62	21	13	13	NUM
fumecheng-7012	62	22	-	-	SYM
fumecheng-7012	62	23	14	14	NUM
fumecheng-7012	62	24	]	]	PUNCT
fumecheng-7012	62	25	and	and	CCONJ
fumecheng-7012	62	26	the	the	DET
fumecheng-7012	62	27	surface	surface	NOUN
fumecheng-7012	62	28	continuum	continuum	ADJ
fumecheng-7012	62	29	model	model	NOUN
fumecheng-7012	62	30	of	of	ADP
fumecheng-7012	62	31	gurtin	gurtin	NOUN
fumecheng-7012	62	32	and	and	CCONJ
fumecheng-7012	62	33	murdoch	murdoch	PROPN
fumecheng-7012	63	1	[	[	X
fumecheng-7012	63	2	42	42	NUM
fumecheng-7012	63	3	-	-	SYM
fumecheng-7012	63	4	43	43	NUM
fumecheng-7012	63	5	]	]	PUNCT
fumecheng-7012	63	6	for	for	ADP
fumecheng-7012	63	7	both	both	CCONJ
fumecheng-7012	63	8	displacement	displacement	NOUN
fumecheng-7012	63	9	-	-	PUNCT
fumecheng-7012	63	10	based	base	VERB
fumecheng-7012	63	11	formulation	formulation	NOUN
fumecheng-7012	63	12	[	[	X
fumecheng-7012	63	13	49	49	NUM
fumecheng-7012	63	14	]	]	PUNCT
fumecheng-7012	63	15	and	and	CCONJ
fumecheng-7012	63	16	forcebased	forcebase	VERB
fumecheng-7012	63	17	formulation	formulation	NOUN
fumecheng-7012	63	18	[	[	X
fumecheng-7012	63	19	50	50	NUM
fumecheng-7012	63	20	]	]	PUNCT
fumecheng-7012	63	21	.	.	PUNCT
fumecheng-7012	64	1	however	however	ADV
fumecheng-7012	64	2	,	,	PUNCT
fumecheng-7012	64	3	these	these	DET
fumecheng-7012	64	4	models	model	NOUN
fumecheng-7012	64	5	are	be	AUX
fumecheng-7012	64	6	ill	ill	ADV
fumecheng-7012	64	7	-	-	PUNCT
fumecheng-7012	64	8	posed	pose	VERB
fumecheng-7012	64	9	for	for	ADP
fumecheng-7012	64	10	the	the	DET
fumecheng-7012	64	11	nanowire	nanowire	ADJ
fumecheng-7012	64	12	system	system	NOUN
fumecheng-7012	64	13	under	under	ADP
fumecheng-7012	64	14	uniform	uniform	ADJ
fumecheng-7012	64	15	load	load	NOUN
fumecheng-7012	64	16	when	when	SCONJ
fumecheng-7012	64	17	the	the	DET
fumecheng-7012	64	18	substrate	substrate	NOUN
fumecheng-7012	64	19	modulus	modulus	NOUN
fumecheng-7012	64	20	reaches	reach	VERB
fumecheng-7012	64	21	zero	zero	NUM
fumecheng-7012	64	22	[	[	X
fumecheng-7012	64	23	37	37	NUM
fumecheng-7012	64	24	]	]	PUNCT
fumecheng-7012	64	25	.	.	PUNCT
fumecheng-7012	65	1	later	later	ADV
fumecheng-7012	65	2	,	,	PUNCT
fumecheng-7012	65	3	sae	sae	PROPN
fumecheng-7012	65	4	-	-	PROPN
fumecheng-7012	65	5	long	long	ADJ
fumecheng-7012	65	6	et	et	PROPN
fumecheng-7012	65	7	al	al	PROPN
fumecheng-7012	65	8	.	.	PUNCT
fumecheng-7012	66	1	[	[	X
fumecheng-7012	66	2	37	37	NUM
fumecheng-7012	66	3	]	]	PUNCT
fumecheng-7012	66	4	extended	extend	VERB
fumecheng-7012	66	5	the	the	DET
fumecheng-7012	66	6	strain	strain	NOUN
fumecheng-7012	66	7	gradient	gradient	NOUN
fumecheng-7012	66	8	bar	bar	NOUN
fumecheng-7012	66	9	model	model	NOUN
fumecheng-7012	66	10	based	base	VERB
fumecheng-7012	66	11	on	on	ADP
fumecheng-7012	66	12	the	the	DET
fumecheng-7012	66	13	thermodynamic	thermodynamic	ADJ
fumecheng-7012	66	14	approach	approach	NOUN
fumecheng-7012	66	15	of	of	ADP
fumecheng-7012	66	16	barretta	barretta	NOUN
fumecheng-7012	66	17	and	and	CCONJ
fumecheng-7012	66	18	marotti	marotti	PROPN
fumecheng-7012	66	19	de	de	X
fumecheng-7012	66	20	sciarra	sciarra	NOUN
fumecheng-7012	66	21	[	[	X
fumecheng-7012	66	22	33	33	NUM
fumecheng-7012	66	23	]	]	PUNCT
fumecheng-7012	66	24	to	to	ADP
fumecheng-7012	66	25	the	the	DET
fumecheng-7012	66	26	bar	bar	NOUN
fumecheng-7012	66	27	-	-	PUNCT
fumecheng-7012	66	28	substrate	substrate	NOUN
fumecheng-7012	66	29	model	model	NOUN
fumecheng-7012	66	30	.	.	PUNCT
fumecheng-7012	67	1	this	this	DET
fumecheng-7012	67	2	model	model	NOUN
fumecheng-7012	67	3	can	can	AUX
fumecheng-7012	67	4	overcome	overcome	VERB
fumecheng-7012	67	5	the	the	DET
fumecheng-7012	67	6	ill	ill	ADJ
fumecheng-7012	67	7	-	-	PUNCT
fumecheng-7012	67	8	posedness	posedness	NOUN
fumecheng-7012	67	9	in	in	ADP
fumecheng-7012	67	10	a	a	DET
fumecheng-7012	67	11	series	series	NOUN
fumecheng-7012	67	12	of	of	ADP
fumecheng-7012	67	13	eringen	eringen	ADJ
fumecheng-7012	67	14	nonlocal	nonlocal	ADJ
fumecheng-7012	67	15	models	model	NOUN
fumecheng-7012	67	16	,	,	PUNCT
fumecheng-7012	67	17	but	but	CCONJ
fumecheng-7012	67	18	this	this	DET
fumecheng-7012	67	19	model	model	NOUN
fumecheng-7012	67	20	is	be	AUX
fumecheng-7012	67	21	categorized	categorize	VERB
fumecheng-7012	67	22	into	into	ADP
fumecheng-7012	67	23	the	the	DET
fumecheng-7012	67	24	second	second	ADJ
fumecheng-7012	67	25	-	-	PUNCT
fumecheng-7012	67	26	order	order	NOUN
fumecheng-7012	67	27	nonlocal	nonlocal	ADJ
fumecheng-7012	67	28	strain	strain	NOUN
fumecheng-7012	67	29	gradient	gradient	NOUN
fumecheng-7012	67	30	model	model	NOUN
fumecheng-7012	67	31	when	when	SCONJ
fumecheng-7012	67	32	only	only	ADV
fumecheng-7012	67	33	the	the	DET
fumecheng-7012	67	34	first	first	ADJ
fumecheng-7012	67	35	two	two	NUM
fumecheng-7012	67	36	terms	term	NOUN
fumecheng-7012	67	37	of	of	ADP
fumecheng-7012	67	38	the	the	DET
fumecheng-7012	67	39	nonlocal	nonlocal	ADJ
fumecheng-7012	67	40	constitutive	constitutive	ADJ
fumecheng-7012	67	41	relation	relation	NOUN
fumecheng-7012	67	42	are	be	AUX
fumecheng-7012	67	43	considered	consider	VERB
fumecheng-7012	67	44	.	.	PUNCT
fumecheng-7012	68	1	in	in	ADP
fumecheng-7012	68	2	light	light	NOUN
fumecheng-7012	68	3	of	of	ADP
fumecheng-7012	68	4	the	the	DET
fumecheng-7012	68	5	need	need	NOUN
fumecheng-7012	68	6	to	to	PART
fumecheng-7012	68	7	upgrade	upgrade	VERB
fumecheng-7012	68	8	the	the	DET
fumecheng-7012	68	9	bar	bar	NOUN
fumecheng-7012	68	10	model	model	NOUN
fumecheng-7012	68	11	for	for	ADP
fumecheng-7012	68	12	nano	nano	NOUN
fumecheng-7012	68	13	-	-	PUNCT
fumecheng-7012	68	14	scale	scale	NOUN
fumecheng-7012	68	15	problems	problem	NOUN
fumecheng-7012	68	16	,	,	PUNCT
fumecheng-7012	68	17	the	the	DET
fumecheng-7012	68	18	main	main	ADJ
fumecheng-7012	68	19	objective	objective	NOUN
fumecheng-7012	68	20	of	of	ADP
fumecheng-7012	68	21	this	this	DET
fumecheng-7012	68	22	work	work	NOUN
fumecheng-7012	68	23	was	be	AUX
fumecheng-7012	68	24	to	to	PART
fumecheng-7012	68	25	develop	develop	VERB
fumecheng-7012	68	26	the	the	DET
fumecheng-7012	68	27	bar	bar	NOUN
fumecheng-7012	68	28	-	-	PUNCT
fumecheng-7012	68	29	substrate	substrate	NOUN
fumecheng-7012	68	30	model	model	NOUN
fumecheng-7012	68	31	with	with	ADP
fumecheng-7012	68	32	inclusion	inclusion	NOUN
fumecheng-7012	68	33	of	of	ADP
fumecheng-7012	68	34	higherorder	higherorder	NOUN
fumecheng-7012	68	35	terms	term	NOUN
fumecheng-7012	68	36	in	in	ADP
fumecheng-7012	68	37	the	the	DET
fumecheng-7012	68	38	nonlocal	nonlocal	ADJ
fumecheng-7012	68	39	strain	strain	NOUN
fumecheng-7012	68	40	gradient	gradient	NOUN
fumecheng-7012	68	41	model	model	NOUN
fumecheng-7012	68	42	[	[	X
fumecheng-7012	68	43	25	25	NUM
fumecheng-7012	68	44	,	,	PUNCT
fumecheng-7012	68	45	29	29	NUM
fumecheng-7012	68	46	]	]	PUNCT
fumecheng-7012	68	47	and	and	CCONJ
fumecheng-7012	68	48	the	the	DET
fumecheng-7012	68	49	surface	surface	NOUN
fumecheng-7012	68	50	energy	energy	NOUN
fumecheng-7012	68	51	effect	effect	NOUN
fumecheng-7012	68	52	.	.	PUNCT
fumecheng-7012	69	1	the	the	DET
fumecheng-7012	69	2	first	first	ADJ
fumecheng-7012	69	3	three	three	NUM
fumecheng-7012	69	4	terms	term	NOUN
fumecheng-7012	69	5	of	of	ADP
fumecheng-7012	69	6	the	the	DET
fumecheng-7012	69	7	nonlocal	nonlocal	ADJ
fumecheng-7012	69	8	strain	strain	NOUN
fumecheng-7012	69	9	gradient	gradient	ADJ
fumecheng-7012	69	10	constitutive	constitutive	ADJ
fumecheng-7012	69	11	relation	relation	NOUN
fumecheng-7012	69	12	are	be	AUX
fumecheng-7012	69	13	considered	consider	VERB
fumecheng-7012	69	14	,	,	PUNCT
fumecheng-7012	69	15	making	make	VERB
fumecheng-7012	69	16	this	this	DET
fumecheng-7012	69	17	a	a	DET
fumecheng-7012	69	18	“	"	PUNCT
fumecheng-7012	69	19	fourth	fourth	ADJ
fumecheng-7012	69	20	-	-	PUNCT
fumecheng-7012	69	21	order	order	NOUN
fumecheng-7012	69	22	”	"	PUNCT
fumecheng-7012	69	23	nonlocal	nonlocal	ADJ
fumecheng-7012	69	24	strain	strain	NOUN
fumecheng-7012	69	25	gradient	gradient	NOUN
fumecheng-7012	69	26	model	model	NOUN
fumecheng-7012	69	27	[	[	X
fumecheng-7012	69	28	29	29	NUM
fumecheng-7012	69	29	-	-	SYM
fumecheng-7012	69	30	30	30	NUM
fumecheng-7012	69	31	]	]	PUNCT
fumecheng-7012	69	32	.	.	PUNCT
fumecheng-7012	70	1	this	this	DET
fumecheng-7012	70	2	kind	kind	NOUN
fumecheng-7012	70	3	of	of	ADP
fumecheng-7012	70	4	model	model	NOUN
fumecheng-7012	70	5	has	have	AUX
fumecheng-7012	70	6	been	be	AUX
fumecheng-7012	70	7	confirmed	confirm	VERB
fumecheng-7012	70	8	the	the	DET
fumecheng-7012	70	9	superiority	superiority	NOUN
fumecheng-7012	70	10	of	of	ADP
fumecheng-7012	70	11	performance	performance	NOUN
fumecheng-7012	70	12	to	to	PART
fumecheng-7012	70	13	represent	represent	VERB
fumecheng-7012	70	14	the	the	DET
fumecheng-7012	70	15	complicated	complicated	ADJ
fumecheng-7012	70	16	characteristics	characteristic	NOUN
fumecheng-7012	70	17	[	[	X
fumecheng-7012	70	18	51	51	NUM
fumecheng-7012	70	19	]	]	PUNCT
fumecheng-7012	70	20	.	.	PUNCT
fumecheng-7012	71	1	thus	thus	ADV
fumecheng-7012	71	2	,	,	PUNCT
fumecheng-7012	71	3	this	this	DET
fumecheng-7012	71	4	work	work	NOUN
fumecheng-7012	71	5	takes	take	VERB
fumecheng-7012	71	6	an	an	DET
fumecheng-7012	71	7	interest	interest	NOUN
fumecheng-7012	71	8	in	in	ADP
fumecheng-7012	71	9	the	the	DET
fumecheng-7012	71	10	influence	influence	NOUN
fumecheng-7012	71	11	of	of	ADP
fumecheng-7012	71	12	adding	add	VERB
fumecheng-7012	71	13	the	the	DET
fumecheng-7012	71	14	third	third	ADJ
fumecheng-7012	71	15	term	term	NOUN
fumecheng-7012	71	16	in	in	ADP
fumecheng-7012	71	17	the	the	DET
fumecheng-7012	71	18	nonlocal	nonlocal	ADJ
fumecheng-7012	71	19	strain	strain	NOUN
fumecheng-7012	71	20	gradient	gradient	NOUN
fumecheng-7012	71	21	model	model	NOUN
fumecheng-7012	71	22	on	on	ADP
fumecheng-7012	71	23	the	the	DET
fumecheng-7012	71	24	responses	response	NOUN
fumecheng-7012	71	25	of	of	ADP
fumecheng-7012	71	26	the	the	DET
fumecheng-7012	71	27	nanowire	nanowire	ADJ
fumecheng-7012	71	28	-	-	PUNCT
fumecheng-7012	71	29	substrate	substrate	NOUN
fumecheng-7012	71	30	system	system	NOUN
fumecheng-7012	71	31	,	,	PUNCT
fumecheng-7012	71	32	when	when	SCONJ
fumecheng-7012	71	33	compared	compare	VERB
fumecheng-7012	71	34	to	to	ADP
fumecheng-7012	71	35	the	the	DET
fumecheng-7012	71	36	second	second	ADJ
fumecheng-7012	71	37	-	-	PUNCT
fumecheng-7012	71	38	order	order	NOUN
fumecheng-7012	71	39	nonlocal	nonlocal	ADJ
fumecheng-7012	71	40	strain	strain	NOUN
fumecheng-7012	71	41	gradient	gradient	ADJ
fumecheng-7012	71	42	nanowire	nanowire	NOUN
fumecheng-7012	71	43	-	-	PUNCT
fumecheng-7012	71	44	substrate	substrate	NOUN
fumecheng-7012	71	45	model	model	NOUN
fumecheng-7012	71	46	[	[	X
fumecheng-7012	71	47	37	37	NUM
fumecheng-7012	71	48	]	]	PUNCT
fumecheng-7012	71	49	.	.	PUNCT
fumecheng-7012	72	1	the	the	DET
fumecheng-7012	72	2	so	so	ADV
fumecheng-7012	72	3	-	-	PUNCT
fumecheng-7012	72	4	called	call	VERB
fumecheng-7012	72	5	“	"	PUNCT
fumecheng-7012	72	6	exact	exact	ADJ
fumecheng-7012	72	7	”	"	PUNCT
fumecheng-7012	72	8	displacement	displacement	ADJ
fumecheng-7012	72	9	shape	shape	NOUN
fumecheng-7012	72	10	functions	function	NOUN
fumecheng-7012	72	11	of	of	ADP
fumecheng-7012	72	12	the	the	DET
fumecheng-7012	72	13	proposed	propose	VERB
fumecheng-7012	72	14	sixthorder	sixthorder	NOUN
fumecheng-7012	72	15	governing	govern	VERB
fumecheng-7012	72	16	differential	differential	ADJ
fumecheng-7012	72	17	equilibrium	equilibrium	NOUN
fumecheng-7012	72	18	equation	equation	NOUN
fumecheng-7012	72	19	given	give	VERB
fumecheng-7012	72	20	in	in	ADP
fumecheng-7012	72	21	this	this	DET
fumecheng-7012	72	22	work	work	NOUN
fumecheng-7012	72	23	are	be	AUX
fumecheng-7012	72	24	adapted	adapt	VERB
fumecheng-7012	72	25	from	from	ADP
fumecheng-7012	72	26	the	the	DET
fumecheng-7012	72	27	660	660	NUM
fumecheng-7012	72	28	w.	w.	PROPN
fumecheng-7012	72	29	sae	sae	PROPN
fumecheng-7012	72	30	-	-	PROPN
fumecheng-7012	72	31	long	long	ADV
fumecheng-7012	72	32	,	,	PUNCT
fumecheng-7012	72	33	s.	s.	PROPN
fumecheng-7012	72	34	limkatanyu	limkatanyu	PROPN
fumecheng-7012	72	35	,	,	PUNCT
fumecheng-7012	72	36	p.	p.	NOUN
fumecheng-7012	72	37	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	72	38	,	,	PUNCT
fumecheng-7012	72	39	et	et	PROPN
fumecheng-7012	72	40	al	al	PROPN
fumecheng-7012	72	41	.	.	PROPN
fumecheng-7012	73	1	analytical	analytical	ADJ
fumecheng-7012	73	2	solutions	solution	NOUN
fumecheng-7012	73	3	of	of	ADP
fumecheng-7012	73	4	the	the	DET
fumecheng-7012	73	5	beam	beam	NOUN
fumecheng-7012	73	6	model	model	NOUN
fumecheng-7012	73	7	on	on	ADP
fumecheng-7012	73	8	kerr	kerr	PROPN
fumecheng-7012	73	9	-	-	PUNCT
fumecheng-7012	73	10	type	type	NOUN
fumecheng-7012	73	11	foundation	foundation	NOUN
fumecheng-7012	73	12	,	,	PUNCT
fumecheng-7012	73	13	proposed	propose	VERB
fumecheng-7012	73	14	by	by	ADP
fumecheng-7012	73	15	morfidis	morfidi	NOUN
fumecheng-7012	73	16	[	[	X
fumecheng-7012	73	17	52	52	NUM
fumecheng-7012	73	18	]	]	PUNCT
fumecheng-7012	73	19	and	and	CCONJ
fumecheng-7012	73	20	avramidis	avramidi	NOUN
fumecheng-7012	73	21	and	and	CCONJ
fumecheng-7012	73	22	morfidis	morfidi	NOUN
fumecheng-7012	73	23	[	[	X
fumecheng-7012	73	24	53	53	NUM
fumecheng-7012	73	25	]	]	PUNCT
fumecheng-7012	73	26	.	.	PUNCT
fumecheng-7012	74	1	to	to	ADP
fumecheng-7012	74	2	the	the	DET
fumecheng-7012	74	3	best	good	ADJ
fumecheng-7012	74	4	knowledge	knowledge	NOUN
fumecheng-7012	74	5	of	of	ADP
fumecheng-7012	74	6	the	the	DET
fumecheng-7012	74	7	authors	author	NOUN
fumecheng-7012	74	8	,	,	PUNCT
fumecheng-7012	74	9	this	this	PRON
fumecheng-7012	74	10	is	be	AUX
fumecheng-7012	74	11	the	the	DET
fumecheng-7012	74	12	first	first	ADJ
fumecheng-7012	74	13	time	time	NOUN
fumecheng-7012	74	14	that	that	SCONJ
fumecheng-7012	74	15	the	the	DET
fumecheng-7012	74	16	fourth	fourth	ADJ
fumecheng-7012	74	17	-	-	PUNCT
fumecheng-7012	74	18	order	order	NOUN
fumecheng-7012	74	19	nonlocal	nonlocal	ADJ
fumecheng-7012	74	20	strain	strain	NOUN
fumecheng-7012	74	21	gradient	gradient	NOUN
fumecheng-7012	74	22	model	model	NOUN
fumecheng-7012	74	23	is	be	AUX
fumecheng-7012	74	24	applied	apply	VERB
fumecheng-7012	74	25	in	in	ADP
fumecheng-7012	74	26	a	a	DET
fumecheng-7012	74	27	displacementbased	displacementbase	VERB
fumecheng-7012	74	28	bar	bar	NOUN
fumecheng-7012	74	29	element	element	NOUN
fumecheng-7012	74	30	to	to	PART
fumecheng-7012	74	31	study	study	VERB
fumecheng-7012	74	32	the	the	DET
fumecheng-7012	74	33	characteristics	characteristic	NOUN
fumecheng-7012	74	34	of	of	ADP
fumecheng-7012	74	35	a	a	DET
fumecheng-7012	74	36	nanowire	nanowire	NOUN
fumecheng-7012	74	37	embedded	embed	VERB
fumecheng-7012	74	38	in	in	ADP
fumecheng-7012	74	39	an	an	DET
fumecheng-7012	74	40	elastic	elastic	ADJ
fumecheng-7012	74	41	substrate	substrate	NOUN
fumecheng-7012	74	42	.	.	PUNCT
fumecheng-7012	75	1	the	the	DET
fumecheng-7012	75	2	contents	content	NOUN
fumecheng-7012	75	3	of	of	ADP
fumecheng-7012	75	4	this	this	DET
fumecheng-7012	75	5	paper	paper	NOUN
fumecheng-7012	75	6	are	be	AUX
fumecheng-7012	75	7	organized	organize	VERB
fumecheng-7012	75	8	as	as	SCONJ
fumecheng-7012	75	9	follows	follow	VERB
fumecheng-7012	75	10	.	.	PUNCT
fumecheng-7012	76	1	sections	section	NOUN
fumecheng-7012	76	2	2	2	NUM
fumecheng-7012	76	3	and	and	CCONJ
fumecheng-7012	76	4	3	3	NUM
fumecheng-7012	76	5	provide	provide	VERB
fumecheng-7012	76	6	the	the	DET
fumecheng-7012	76	7	brief	brief	ADJ
fumecheng-7012	76	8	discussions	discussion	NOUN
fumecheng-7012	76	9	of	of	ADP
fumecheng-7012	76	10	the	the	DET
fumecheng-7012	76	11	nonlocal	nonlocal	ADJ
fumecheng-7012	76	12	strain	strain	NOUN
fumecheng-7012	76	13	gradient	gradient	NOUN
fumecheng-7012	76	14	model	model	NOUN
fumecheng-7012	76	15	and	and	CCONJ
fumecheng-7012	76	16	the	the	DET
fumecheng-7012	76	17	surface	surface	NOUN
fumecheng-7012	76	18	elastic	elastic	ADJ
fumecheng-7012	76	19	theory	theory	NOUN
fumecheng-7012	76	20	that	that	PRON
fumecheng-7012	76	21	are	be	AUX
fumecheng-7012	76	22	employed	employ	VERB
fumecheng-7012	76	23	to	to	PART
fumecheng-7012	76	24	represent	represent	VERB
fumecheng-7012	76	25	nonlocal	nonlocal	ADJ
fumecheng-7012	76	26	and	and	CCONJ
fumecheng-7012	76	27	surface	surface	NOUN
fumecheng-7012	76	28	energy	energy	NOUN
fumecheng-7012	76	29	effects	effect	NOUN
fumecheng-7012	76	30	in	in	ADP
fumecheng-7012	76	31	this	this	DET
fumecheng-7012	76	32	study	study	NOUN
fumecheng-7012	76	33	,	,	PUNCT
fumecheng-7012	76	34	respectively	respectively	ADV
fumecheng-7012	76	35	.	.	PUNCT
fumecheng-7012	77	1	then	then	ADV
fumecheng-7012	77	2	,	,	PUNCT
fumecheng-7012	77	3	the	the	DET
fumecheng-7012	77	4	model	model	NOUN
fumecheng-7012	77	5	formulation	formulation	NOUN
fumecheng-7012	77	6	is	be	AUX
fumecheng-7012	77	7	presented	present	VERB
fumecheng-7012	77	8	in	in	ADP
fumecheng-7012	77	9	section	section	NOUN
fumecheng-7012	77	10	4	4	NUM
fumecheng-7012	77	11	.	.	PUNCT
fumecheng-7012	78	1	it	it	PRON
fumecheng-7012	78	2	includes	include	VERB
fumecheng-7012	78	3	the	the	DET
fumecheng-7012	78	4	governing	govern	VERB
fumecheng-7012	78	5	differential	differential	ADJ
fumecheng-7012	78	6	equations	equation	NOUN
fumecheng-7012	78	7	such	such	ADJ
fumecheng-7012	78	8	as	as	ADP
fumecheng-7012	78	9	the	the	DET
fumecheng-7012	78	10	compatibility	compatibility	NOUN
fumecheng-7012	78	11	equations	equation	NOUN
fumecheng-7012	78	12	,	,	PUNCT
fumecheng-7012	78	13	constitutive	constitutive	ADJ
fumecheng-7012	78	14	relations	relation	NOUN
fumecheng-7012	78	15	,	,	PUNCT
fumecheng-7012	78	16	and	and	CCONJ
fumecheng-7012	78	17	equilibrium	equilibrium	NOUN
fumecheng-7012	78	18	equation	equation	NOUN
fumecheng-7012	78	19	.	.	PUNCT
fumecheng-7012	79	1	based	base	VERB
fumecheng-7012	79	2	on	on	ADP
fumecheng-7012	79	3	the	the	DET
fumecheng-7012	79	4	virtual	virtual	ADJ
fumecheng-7012	79	5	displacement	displacement	NOUN
fumecheng-7012	79	6	principle	principle	NOUN
fumecheng-7012	79	7	,	,	PUNCT
fumecheng-7012	79	8	the	the	DET
fumecheng-7012	79	9	governing	govern	VERB
fumecheng-7012	79	10	differential	differential	ADJ
fumecheng-7012	79	11	equilibrium	equilibrium	NOUN
fumecheng-7012	79	12	equation	equation	NOUN
fumecheng-7012	79	13	,	,	PUNCT
fumecheng-7012	79	14	its	its	PRON
fumecheng-7012	79	15	associated	associated	ADJ
fumecheng-7012	79	16	natural	natural	ADJ
fumecheng-7012	79	17	boundary	boundary	ADJ
fumecheng-7012	79	18	conditions	condition	NOUN
fumecheng-7012	79	19	,	,	PUNCT
fumecheng-7012	79	20	and	and	CCONJ
fumecheng-7012	79	21	analytical	analytical	ADJ
fumecheng-7012	79	22	solutions	solution	NOUN
fumecheng-7012	79	23	of	of	ADP
fumecheng-7012	79	24	the	the	DET
fumecheng-7012	79	25	proposed	propose	VERB
fumecheng-7012	79	26	model	model	NOUN
fumecheng-7012	79	27	are	be	AUX
fumecheng-7012	79	28	also	also	ADV
fumecheng-7012	79	29	presented	present	VERB
fumecheng-7012	79	30	in	in	ADP
fumecheng-7012	79	31	this	this	DET
fumecheng-7012	79	32	section	section	NOUN
fumecheng-7012	79	33	.	.	PUNCT
fumecheng-7012	80	1	next	next	ADJ
fumecheng-7012	80	2	,	,	PUNCT
fumecheng-7012	80	3	section	section	NOUN
fumecheng-7012	80	4	5	5	NUM
fumecheng-7012	80	5	shows	show	VERB
fumecheng-7012	80	6	two	two	NUM
fumecheng-7012	80	7	numerical	numerical	ADJ
fumecheng-7012	80	8	simulations	simulation	NOUN
fumecheng-7012	80	9	of	of	ADP
fumecheng-7012	80	10	the	the	DET
fumecheng-7012	80	11	characteristics	characteristic	NOUN
fumecheng-7012	80	12	of	of	ADP
fumecheng-7012	80	13	a	a	DET
fumecheng-7012	80	14	nanowire	nanowire	NOUN
fumecheng-7012	80	15	embedded	embed	VERB
fumecheng-7012	80	16	in	in	ADP
fumecheng-7012	80	17	a	a	DET
fumecheng-7012	80	18	substrate	substrate	NOUN
fumecheng-7012	80	19	.	.	PUNCT
fumecheng-7012	81	1	the	the	DET
fumecheng-7012	81	2	first	first	ADJ
fumecheng-7012	81	3	simulation	simulation	NOUN
fumecheng-7012	81	4	is	be	AUX
fumecheng-7012	81	5	used	use	VERB
fumecheng-7012	81	6	to	to	PART
fumecheng-7012	81	7	investigate	investigate	VERB
fumecheng-7012	81	8	the	the	DET
fumecheng-7012	81	9	higher	high	ADJ
fumecheng-7012	81	10	-	-	PUNCT
fumecheng-7012	81	11	order	order	NOUN
fumecheng-7012	81	12	term	term	NOUN
fumecheng-7012	81	13	in	in	ADP
fumecheng-7012	81	14	the	the	DET
fumecheng-7012	81	15	fourth	fourth	ADJ
fumecheng-7012	81	16	-	-	PUNCT
fumecheng-7012	81	17	order	order	NOUN
fumecheng-7012	81	18	strain	strain	NOUN
fumecheng-7012	81	19	gradient	gradient	NOUN
fumecheng-7012	81	20	model	model	NOUN
fumecheng-7012	81	21	,	,	PUNCT
fumecheng-7012	81	22	with	with	ADP
fumecheng-7012	81	23	nonlocal	nonlocal	ADJ
fumecheng-7012	81	24	and	and	CCONJ
fumecheng-7012	81	25	surface	surface	NOUN
fumecheng-7012	81	26	energy	energy	NOUN
fumecheng-7012	81	27	effects	effect	NOUN
fumecheng-7012	81	28	on	on	ADP
fumecheng-7012	81	29	the	the	DET
fumecheng-7012	81	30	mechanical	mechanical	ADJ
fumecheng-7012	81	31	responses	response	NOUN
fumecheng-7012	81	32	of	of	ADP
fumecheng-7012	81	33	the	the	DET
fumecheng-7012	81	34	nanowire	nanowire	ADJ
fumecheng-7012	81	35	-	-	PUNCT
fumecheng-7012	81	36	substrate	substrate	NOUN
fumecheng-7012	81	37	system	system	NOUN
fumecheng-7012	81	38	,	,	PUNCT
fumecheng-7012	81	39	while	while	SCONJ
fumecheng-7012	81	40	the	the	DET
fumecheng-7012	81	41	second	second	ADJ
fumecheng-7012	81	42	simulation	simulation	NOUN
fumecheng-7012	81	43	examines	examine	VERB
fumecheng-7012	81	44	the	the	DET
fumecheng-7012	81	45	sensitivity	sensitivity	NOUN
fumecheng-7012	81	46	of	of	ADP
fumecheng-7012	81	47	system	system	NOUN
fumecheng-7012	81	48	stiffness	stiffness	NOUN
fumecheng-7012	81	49	on	on	ADP
fumecheng-7012	81	50	nanowire	nanowire	ADJ
fumecheng-7012	81	51	and	and	CCONJ
fumecheng-7012	81	52	substrate	substrate	NOUN
fumecheng-7012	81	53	properties	property	NOUN
fumecheng-7012	81	54	.	.	PUNCT
fumecheng-7012	82	1	finally	finally	ADV
fumecheng-7012	82	2	,	,	PUNCT
fumecheng-7012	82	3	the	the	DET
fumecheng-7012	82	4	last	last	ADJ
fumecheng-7012	82	5	section	section	NOUN
fumecheng-7012	82	6	gives	give	VERB
fumecheng-7012	82	7	the	the	DET
fumecheng-7012	82	8	conclusions	conclusion	NOUN
fumecheng-7012	82	9	from	from	ADP
fumecheng-7012	82	10	this	this	DET
fumecheng-7012	82	11	study	study	NOUN
fumecheng-7012	82	12	.	.	PUNCT
fumecheng-7012	83	1	all	all	DET
fumecheng-7012	83	2	symbolic	symbolic	ADJ
fumecheng-7012	83	3	calculations	calculation	NOUN
fumecheng-7012	83	4	in	in	ADP
fumecheng-7012	83	5	this	this	DET
fumecheng-7012	83	6	work	work	NOUN
fumecheng-7012	83	7	were	be	AUX
fumecheng-7012	83	8	performed	perform	VERB
fumecheng-7012	83	9	with	with	ADP
fumecheng-7012	83	10	the	the	DET
fumecheng-7012	83	11	computer	computer	NOUN
fumecheng-7012	83	12	software	software	NOUN
fumecheng-7012	83	13	mathematica	mathematica	PROPN
fumecheng-7012	83	14	[	[	X
fumecheng-7012	83	15	54	54	NUM
fumecheng-7012	83	16	]	]	PUNCT
fumecheng-7012	83	17	.	.	PUNCT
fumecheng-7012	84	1	2	2	X
fumecheng-7012	84	2	.	.	X
fumecheng-7012	84	3	nonlocal	nonlocal	ADJ
fumecheng-7012	84	4	strain	strain	NOUN
fumecheng-7012	84	5	gradient	gradient	NOUN
fumecheng-7012	84	6	model	model	NOUN
fumecheng-7012	84	7	the	the	DET
fumecheng-7012	84	8	nonlocal	nonlocal	ADJ
fumecheng-7012	84	9	strain	strain	NOUN
fumecheng-7012	84	10	gradient	gradient	NOUN
fumecheng-7012	84	11	model	model	NOUN
fumecheng-7012	85	1	[	[	X
fumecheng-7012	85	2	25	25	NUM
fumecheng-7012	85	3	,	,	PUNCT
fumecheng-7012	85	4	29	29	NUM
fumecheng-7012	85	5	]	]	PUNCT
fumecheng-7012	85	6	was	be	AUX
fumecheng-7012	85	7	originally	originally	ADV
fumecheng-7012	85	8	derived	derive	VERB
fumecheng-7012	85	9	from	from	ADP
fumecheng-7012	85	10	the	the	DET
fumecheng-7012	85	11	nonlocal	nonlocal	ADJ
fumecheng-7012	85	12	elasticity	elasticity	NOUN
fumecheng-7012	85	13	theory	theory	NOUN
fumecheng-7012	85	14	[	[	X
fumecheng-7012	85	15	14	14	NUM
fumecheng-7012	85	16	]	]	X
fumecheng-7012	85	17	,	,	PUNCT
fumecheng-7012	85	18	which	which	PRON
fumecheng-7012	85	19	assumed	assume	VERB
fumecheng-7012	85	20	the	the	DET
fumecheng-7012	85	21	stress	stress	NOUN
fumecheng-7012	85	22	at	at	ADP
fumecheng-7012	85	23	a	a	DET
fumecheng-7012	85	24	reference	reference	NOUN
fumecheng-7012	85	25	point	point	NOUN
fumecheng-7012	85	26	x	x	PUNCT
fumecheng-7012	85	27	is	be	AUX
fumecheng-7012	85	28	a	a	DET
fumecheng-7012	85	29	function	function	NOUN
fumecheng-7012	85	30	of	of	ADP
fumecheng-7012	85	31	the	the	DET
fumecheng-7012	85	32	strain	strain	NOUN
fumecheng-7012	85	33	field	field	NOUN
fumecheng-7012	85	34	at	at	ADP
fumecheng-7012	85	35	every	every	DET
fumecheng-7012	85	36	point	point	NOUN
fumecheng-7012	85	37	in	in	ADP
fumecheng-7012	85	38	the	the	DET
fumecheng-7012	85	39	body	body	NOUN
fumecheng-7012	85	40	.	.	PUNCT
fumecheng-7012	86	1	the	the	DET
fumecheng-7012	86	2	original	original	ADJ
fumecheng-7012	86	3	constitutive	constitutive	ADJ
fumecheng-7012	86	4	relation	relation	NOUN
fumecheng-7012	86	5	of	of	ADP
fumecheng-7012	86	6	the	the	DET
fumecheng-7012	86	7	nonlocal	nonlocal	ADJ
fumecheng-7012	86	8	elasticity	elasticity	NOUN
fumecheng-7012	86	9	theory	theory	NOUN
fumecheng-7012	86	10	was	be	AUX
fumecheng-7012	86	11	represented	represent	VERB
fumecheng-7012	86	12	by	by	ADP
fumecheng-7012	86	13	the	the	DET
fumecheng-7012	86	14	weighted	weight	VERB
fumecheng-7012	86	15	averages	average	NOUN
fumecheng-7012	86	16	of	of	ADP
fumecheng-7012	86	17	the	the	DET
fumecheng-7012	86	18	contribution	contribution	NOUN
fumecheng-7012	86	19	of	of	ADP
fumecheng-7012	86	20	the	the	DET
fumecheng-7012	86	21	strain	strain	NOUN
fumecheng-7012	86	22	tensor	tensor	NOUN
fumecheng-7012	86	23	at	at	ADV
fumecheng-7012	86	24	all	all	DET
fumecheng-7012	86	25	points	point	NOUN
fumecheng-7012	86	26	in	in	ADP
fumecheng-7012	86	27	the	the	DET
fumecheng-7012	86	28	body	body	NOUN
fumecheng-7012	86	29	to	to	ADP
fumecheng-7012	86	30	the	the	DET
fumecheng-7012	86	31	stress	stress	NOUN
fumecheng-7012	86	32	tensor	tensor	NOUN
fumecheng-7012	86	33	at	at	ADP
fumecheng-7012	86	34	the	the	DET
fumecheng-7012	86	35	given	give	VERB
fumecheng-7012	86	36	point	point	NOUN
fumecheng-7012	86	37	.	.	PUNCT
fumecheng-7012	87	1	this	this	PRON
fumecheng-7012	87	2	leads	lead	VERB
fumecheng-7012	87	3	to	to	ADP
fumecheng-7012	87	4	the	the	DET
fumecheng-7012	87	5	mathematical	mathematical	ADJ
fumecheng-7012	87	6	problems	problem	NOUN
fumecheng-7012	87	7	to	to	PART
fumecheng-7012	87	8	get	get	VERB
fumecheng-7012	87	9	the	the	DET
fumecheng-7012	87	10	solution	solution	NOUN
fumecheng-7012	87	11	for	for	ADP
fumecheng-7012	87	12	nanostructure	nanostructure	ADJ
fumecheng-7012	87	13	continuum	continuum	ADJ
fumecheng-7012	87	14	models	model	NOUN
fumecheng-7012	87	15	.	.	PUNCT
fumecheng-7012	88	1	to	to	PART
fumecheng-7012	88	2	overcome	overcome	VERB
fumecheng-7012	88	3	this	this	DET
fumecheng-7012	88	4	limitation	limitation	NOUN
fumecheng-7012	88	5	,	,	PUNCT
fumecheng-7012	88	6	eringen	eringen	PROPN
fumecheng-7012	88	7	[	[	X
fumecheng-7012	88	8	14	14	NUM
fumecheng-7012	88	9	]	]	PUNCT
fumecheng-7012	88	10	presented	present	VERB
fumecheng-7012	88	11	the	the	DET
fumecheng-7012	88	12	kernel	kernel	PROPN
fumecheng-7012	88	13	function	function	NOUN
fumecheng-7012	88	14	in	in	ADP
fumecheng-7012	88	15	the	the	DET
fumecheng-7012	88	16	form	form	NOUN
fumecheng-7012	88	17	of	of	ADP
fumecheng-7012	88	18	a	a	DET
fumecheng-7012	88	19	modified	modify	VERB
fumecheng-7012	88	20	bessel	bessel	NOUN
fumecheng-7012	88	21	function	function	NOUN
fumecheng-7012	88	22	for	for	ADP
fumecheng-7012	88	23	applying	apply	VERB
fumecheng-7012	88	24	in	in	ADP
fumecheng-7012	88	25	the	the	DET
fumecheng-7012	88	26	differential	differential	ADJ
fumecheng-7012	88	27	constitutive	constitutive	ADJ
fumecheng-7012	88	28	equation	equation	NOUN
fumecheng-7012	88	29	.	.	PUNCT
fumecheng-7012	89	1	however	however	ADV
fumecheng-7012	89	2	,	,	PUNCT
fumecheng-7012	89	3	the	the	DET
fumecheng-7012	89	4	integral	integral	ADJ
fumecheng-7012	89	5	constitutive	constitutive	ADJ
fumecheng-7012	89	6	relation	relation	NOUN
fumecheng-7012	89	7	as	as	SCONJ
fumecheng-7012	89	8	suggested	suggest	VERB
fumecheng-7012	89	9	by	by	ADP
fumecheng-7012	89	10	eringen	eringen	PROPN
fumecheng-7012	89	11	[	[	X
fumecheng-7012	89	12	14	14	NUM
fumecheng-7012	89	13	]	]	PUNCT
fumecheng-7012	89	14	can	can	AUX
fumecheng-7012	89	15	be	be	AUX
fumecheng-7012	89	16	converted	convert	VERB
fumecheng-7012	89	17	exactly	exactly	ADV
fumecheng-7012	89	18	into	into	ADP
fumecheng-7012	89	19	a	a	DET
fumecheng-7012	89	20	corresponding	corresponding	ADJ
fumecheng-7012	89	21	differential	differential	ADJ
fumecheng-7012	89	22	form	form	NOUN
fumecheng-7012	89	23	for	for	ADP
fumecheng-7012	89	24	some	some	DET
fumecheng-7012	89	25	kernels	kernel	NOUN
fumecheng-7012	89	26	[	[	X
fumecheng-7012	89	27	25	25	NUM
fumecheng-7012	89	28	,	,	PUNCT
fumecheng-7012	89	29	29	29	NUM
fumecheng-7012	89	30	]	]	PUNCT
fumecheng-7012	89	31	.	.	PUNCT
fumecheng-7012	90	1	later	later	ADV
fumecheng-7012	90	2	,	,	PUNCT
fumecheng-7012	90	3	peddieson	peddieson	NOUN
fumecheng-7012	90	4	et	et	NOUN
fumecheng-7012	90	5	al	al	PROPN
fumecheng-7012	90	6	.	.	PUNCT
fumecheng-7012	91	1	[	[	X
fumecheng-7012	91	2	25	25	NUM
fumecheng-7012	91	3	]	]	PUNCT
fumecheng-7012	91	4	presented	present	VERB
fumecheng-7012	91	5	an	an	DET
fumecheng-7012	91	6	alternative	alternative	ADJ
fumecheng-7012	91	7	way	way	NOUN
fumecheng-7012	91	8	to	to	PART
fumecheng-7012	91	9	avoid	avoid	VERB
fumecheng-7012	91	10	the	the	DET
fumecheng-7012	91	11	mathematical	mathematical	ADJ
fumecheng-7012	91	12	problem	problem	NOUN
fumecheng-7012	91	13	in	in	ADP
fumecheng-7012	91	14	the	the	DET
fumecheng-7012	91	15	nonlocal	nonlocal	ADJ
fumecheng-7012	91	16	elasticity	elasticity	NOUN
fumecheng-7012	91	17	theory	theory	NOUN
fumecheng-7012	91	18	by	by	ADP
fumecheng-7012	91	19	using	use	VERB
fumecheng-7012	91	20	the	the	DET
fumecheng-7012	91	21	nonlocal	nonlocal	ADJ
fumecheng-7012	91	22	strain	strain	NOUN
fumecheng-7012	91	23	gradient	gradient	NOUN
fumecheng-7012	91	24	model	model	NOUN
fumecheng-7012	91	25	.	.	PUNCT
fumecheng-7012	92	1	the	the	DET
fumecheng-7012	92	2	constitutive	constitutive	ADJ
fumecheng-7012	92	3	relation	relation	NOUN
fumecheng-7012	92	4	of	of	ADP
fumecheng-7012	92	5	the	the	DET
fumecheng-7012	92	6	nonlocal	nonlocal	ADJ
fumecheng-7012	92	7	strain	strain	NOUN
fumecheng-7012	92	8	gradient	gradient	NOUN
fumecheng-7012	92	9	model	model	NOUN
fumecheng-7012	92	10	comes	come	VERB
fumecheng-7012	92	11	from	from	ADP
fumecheng-7012	92	12	the	the	DET
fumecheng-7012	92	13	integral	integral	ADJ
fumecheng-7012	92	14	constitutive	constitutive	ADJ
fumecheng-7012	92	15	relation	relation	NOUN
fumecheng-7012	92	16	of	of	ADP
fumecheng-7012	92	17	the	the	DET
fumecheng-7012	92	18	nonlocal	nonlocal	ADJ
fumecheng-7012	92	19	elasticity	elasticity	NOUN
fumecheng-7012	92	20	theory	theory	NOUN
fumecheng-7012	92	21	[	[	X
fumecheng-7012	92	22	14	14	NUM
fumecheng-7012	92	23	]	]	PUNCT
fumecheng-7012	92	24	when	when	SCONJ
fumecheng-7012	92	25	the	the	DET
fumecheng-7012	92	26	material	material	ADJ
fumecheng-7012	92	27	-	-	PUNCT
fumecheng-7012	92	28	length	length	NOUN
fumecheng-7012	92	29	scale	scale	NOUN
fumecheng-7012	92	30	parameter	parameter	NOUN
fumecheng-7012	92	31	is	be	AUX
fumecheng-7012	92	32	very	very	ADV
fumecheng-7012	92	33	less	less	ADJ
fumecheng-7012	92	34	than	than	ADP
fumecheng-7012	92	35	1	1	NUM
fumecheng-7012	92	36	(	(	PUNCT
fumecheng-7012	92	37	e0a	e0a	PROPN
fumecheng-7012	92	38	<	<	X
fumecheng-7012	92	39	<	<	X
fumecheng-7012	92	40	1	1	NUM
fumecheng-7012	92	41	)	)	PUNCT
fumecheng-7012	92	42	.	.	PUNCT
fumecheng-7012	93	1	thus	thus	ADV
fumecheng-7012	93	2	,	,	PUNCT
fumecheng-7012	93	3	the	the	DET
fumecheng-7012	93	4	expansion	expansion	NOUN
fumecheng-7012	93	5	of	of	ADP
fumecheng-7012	93	6	the	the	DET
fumecheng-7012	93	7	elastic	elastic	ADJ
fumecheng-7012	93	8	energy	energy	NOUN
fumecheng-7012	93	9	w	w	NOUN
fumecheng-7012	93	10	based	base	VERB
fumecheng-7012	93	11	on	on	ADP
fumecheng-7012	93	12	the	the	DET
fumecheng-7012	93	13	following	follow	VERB
fumecheng-7012	93	14	assumption	assumption	NOUN
fumecheng-7012	93	15	for	for	ADP
fumecheng-7012	93	16	a	a	DET
fumecheng-7012	93	17	uniaxial	uniaxial	ADJ
fumecheng-7012	93	18	stress	stress	NOUN
fumecheng-7012	93	19	problem	problem	NOUN
fumecheng-7012	93	20	is	be	AUX
fumecheng-7012	93	21	obtained	obtain	VERB
fumecheng-7012	93	22	by	by	ADP
fumecheng-7012	93	23	only	only	ADV
fumecheng-7012	93	24	considering	consider	VERB
fumecheng-7012	93	25	the	the	DET
fumecheng-7012	93	26	first	first	ADJ
fumecheng-7012	93	27	three	three	NUM
fumecheng-7012	93	28	terms	term	NOUN
fumecheng-7012	93	29	as	as	ADP
fumecheng-7012	93	30	:	:	SYM
fumecheng-7012	93	31	2	2	NUM
fumecheng-7012	93	32	1	1	NUM
fumecheng-7012	93	33	2	2	NUM
fumecheng-7012	93	34	local	local	ADJ
fumecheng-7012	93	35	term	term	NOUN
fumecheng-7012	93	36	2	2	NUM
fumecheng-7012	93	37	2	2	NUM
fumecheng-7012	93	38	4	4	NUM
fumecheng-7012	93	39	2	2	NUM
fumecheng-7012	93	40	0	0	NUM
fumecheng-7012	93	41	1	1	NUM
fumecheng-7012	93	42	0	0	NUM
fumecheng-7012	93	43	2	2	NUM
fumecheng-7012	93	44	nonlocal	nonlocal	ADJ
fumecheng-7012	93	45	terms	term	NOUN
fumecheng-7012	93	46	1	1	NUM
fumecheng-7012	93	47	[	[	PUNCT
fumecheng-7012	93	48	(	(	PUNCT
fumecheng-7012	93	49	)	)	PUNCT
fumecheng-7012	93	50	,	,	PUNCT
fumecheng-7012	93	51	(	(	PUNCT
fumecheng-7012	93	52	)	)	PUNCT
fumecheng-7012	93	53	,	,	PUNCT
fumecheng-7012	93	54	(	(	PUNCT
fumecheng-7012	93	55	)	)	PUNCT
fumecheng-7012	93	56	]	]	PUNCT
fumecheng-7012	93	57	(	(	PUNCT
fumecheng-7012	93	58	)	)	PUNCT
fumecheng-7012	93	59	2	2	NUM
fumecheng-7012	93	60	1	1	NUM
fumecheng-7012	93	61	1	1	NUM
fumecheng-7012	93	62	(	(	PUNCT
fumecheng-7012	93	63	)	)	PUNCT
fumecheng-7012	93	64	(	(	PUNCT
fumecheng-7012	93	65	(	(	PUNCT
fumecheng-7012	93	66	)	)	PUNCT
fumecheng-7012	93	67	)	)	PUNCT
fumecheng-7012	93	68	(	(	PUNCT
fumecheng-7012	93	69	)	)	PUNCT
fumecheng-7012	93	70	(	(	PUNCT
fumecheng-7012	93	71	(	(	PUNCT
fumecheng-7012	93	72	)	)	PUNCT
fumecheng-7012	93	73	)	)	PUNCT
fumecheng-7012	93	74	2	2	NUM
fumecheng-7012	93	75	2	2	NUM
fumecheng-7012	93	76	xx	xx	NUM
fumecheng-7012	93	77	xx	xx	NUM
fumecheng-7012	94	1	xx	xx	NUM
fumecheng-7012	95	1	xx	xx	NUM
fumecheng-7012	95	2	xx	xx	NUM
fumecheng-7012	96	1	w	w	NOUN
fumecheng-7012	96	2	x	x	PUNCT
fumecheng-7012	96	3	x	x	PUNCT
fumecheng-7012	96	4	x	x	PUNCT
fumecheng-7012	96	5	e	e	NOUN
fumecheng-7012	96	6	x	x	X
fumecheng-7012	96	7	e	e	X
fumecheng-7012	96	8	e	e	X
fumecheng-7012	96	9	a	a	X
fumecheng-7012	96	10	x	x	X
fumecheng-7012	96	11	e	e	X
fumecheng-7012	96	12	e	e	X
fumecheng-7012	96	13	a	a	X
fumecheng-7012	96	14	x	x	X
fumecheng-7012	96	15	=	=	PUNCT
fumecheng-7012	96	16	+	+	CCONJ
fumecheng-7012	96	17	+	+	CCONJ
fumecheng-7012	96	18			PROPN
fumecheng-7012	96	19			PROPN
fumecheng-7012	96	20			PROPN
fumecheng-7012	96	21			PROPN
fumecheng-7012	96	22			PROPN
fumecheng-7012	96	23			PROPN
fumecheng-7012	96	24	(	(	PUNCT
fumecheng-7012	96	25	1	1	NUM
fumecheng-7012	96	26	)	)	PUNCT
fumecheng-7012	96	27	fourth	fourth	ADJ
fumecheng-7012	96	28	-	-	PUNCT
fumecheng-7012	96	29	order	order	NOUN
fumecheng-7012	96	30	strain	strain	VERB
fumecheng-7012	96	31	gradient	gradient	ADJ
fumecheng-7012	96	32	bar	bar	NOUN
fumecheng-7012	96	33	-	-	PUNCT
fumecheng-7012	96	34	substrate	substrate	NOUN
fumecheng-7012	96	35	model	model	NOUN
fumecheng-7012	96	36	with	with	ADP
fumecheng-7012	96	37	nonlocal	nonlocal	ADJ
fumecheng-7012	96	38	and	and	CCONJ
fumecheng-7012	96	39	surface	surface	NOUN
fumecheng-7012	96	40	effects	effect	NOUN
fumecheng-7012	96	41	...	...	PUNCT
fumecheng-7012	96	42	661	661	NUM
fumecheng-7012	96	43	where	where	SCONJ
fumecheng-7012	96	44	exx	exx	PROPN
fumecheng-7012	96	45	is	be	AUX
fumecheng-7012	96	46	the	the	DET
fumecheng-7012	96	47	young	young	ADJ
fumecheng-7012	96	48	modulus	modulus	NOUN
fumecheng-7012	96	49	;	;	PUNCT
fumecheng-7012	96	50	e0a	e0a	PROPN
fumecheng-7012	96	51	is	be	AUX
fumecheng-7012	96	52	the	the	DET
fumecheng-7012	96	53	nonlocal	nonlocal	ADJ
fumecheng-7012	96	54	-	-	PUNCT
fumecheng-7012	96	55	scale	scale	NOUN
fumecheng-7012	96	56	parameter	parameter	NOUN
fumecheng-7012	96	57	;	;	PUNCT
fumecheng-7012	96	58	εxx(x	εxx(x	PROPN
fumecheng-7012	96	59	)	)	PUNCT
fumecheng-7012	96	60	is	be	AUX
fumecheng-7012	96	61	the	the	DET
fumecheng-7012	96	62	axial	axial	ADJ
fumecheng-7012	96	63	strain	strain	NOUN
fumecheng-7012	96	64	;	;	PUNCT
fumecheng-7012	96	65	ε1(x	ε1(x	X
fumecheng-7012	96	66	)	)	PUNCT
fumecheng-7012	96	67	and	and	CCONJ
fumecheng-7012	96	68	ε2(x	ε2(x	NOUN
fumecheng-7012	96	69	)	)	PUNCT
fumecheng-7012	96	70	are	be	AUX
fumecheng-7012	96	71	the	the	DET
fumecheng-7012	96	72	axial	axial	ADJ
fumecheng-7012	96	73	strain	strain	NOUN
fumecheng-7012	96	74	gradients	gradient	NOUN
fumecheng-7012	96	75	corresponding	correspond	VERB
fumecheng-7012	96	76	to	to	ADP
fumecheng-7012	96	77	the	the	DET
fumecheng-7012	96	78	second	second	ADJ
fumecheng-7012	96	79	and	and	CCONJ
fumecheng-7012	96	80	the	the	DET
fumecheng-7012	96	81	third	third	ADJ
fumecheng-7012	96	82	terms	term	NOUN
fumecheng-7012	96	83	in	in	ADP
fumecheng-7012	96	84	the	the	DET
fumecheng-7012	96	85	nonlocal	nonlocal	ADJ
fumecheng-7012	96	86	strain	strain	NOUN
fumecheng-7012	96	87	gradient	gradient	NOUN
fumecheng-7012	96	88	model	model	NOUN
fumecheng-7012	96	89	,	,	PUNCT
fumecheng-7012	96	90	respectively	respectively	ADV
fumecheng-7012	96	91	.	.	PUNCT
fumecheng-7012	97	1	it	it	PRON
fumecheng-7012	97	2	needs	need	VERB
fumecheng-7012	97	3	to	to	PART
fumecheng-7012	97	4	be	be	AUX
fumecheng-7012	97	5	emphasized	emphasize	VERB
fumecheng-7012	97	6	that	that	SCONJ
fumecheng-7012	97	7	the	the	DET
fumecheng-7012	97	8	first	first	ADJ
fumecheng-7012	97	9	term	term	NOUN
fumecheng-7012	97	10	on	on	ADP
fumecheng-7012	97	11	the	the	DET
fumecheng-7012	97	12	right	right	ADJ
fumecheng-7012	97	13	-	-	PUNCT
fumecheng-7012	97	14	hand	hand	NOUN
fumecheng-7012	97	15	side	side	NOUN
fumecheng-7012	97	16	of	of	ADP
fumecheng-7012	97	17	eq	eq	PROPN
fumecheng-7012	97	18	.	.	PUNCT
fumecheng-7012	98	1	(	(	PUNCT
fumecheng-7012	98	2	1	1	X
fumecheng-7012	98	3	)	)	PUNCT
fumecheng-7012	98	4	represents	represent	VERB
fumecheng-7012	98	5	the	the	DET
fumecheng-7012	98	6	local	local	ADJ
fumecheng-7012	98	7	(	(	PUNCT
fumecheng-7012	98	8	conventional	conventional	ADJ
fumecheng-7012	98	9	)	)	PUNCT
fumecheng-7012	98	10	strain	strain	NOUN
fumecheng-7012	98	11	energy	energy	NOUN
fumecheng-7012	98	12	(	(	PUNCT
fumecheng-7012	98	13	as	as	ADP
fumecheng-7012	98	14	in	in	ADP
fumecheng-7012	98	15	large	large	ADJ
fumecheng-7012	98	16	-	-	PUNCT
fumecheng-7012	98	17	scale	scale	NOUN
fumecheng-7012	98	18	structural	structural	ADJ
fumecheng-7012	98	19	analysis	analysis	NOUN
fumecheng-7012	98	20	)	)	PUNCT
fumecheng-7012	98	21	,	,	PUNCT
fumecheng-7012	98	22	while	while	SCONJ
fumecheng-7012	98	23	the	the	DET
fumecheng-7012	98	24	second	second	ADJ
fumecheng-7012	98	25	and	and	CCONJ
fumecheng-7012	98	26	third	third	ADJ
fumecheng-7012	98	27	terms	term	NOUN
fumecheng-7012	98	28	represent	represent	VERB
fumecheng-7012	98	29	the	the	DET
fumecheng-7012	98	30	nonlocal	nonlocal	ADJ
fumecheng-7012	98	31	strain	strain	NOUN
fumecheng-7012	98	32	energy	energy	NOUN
fumecheng-7012	98	33	(	(	PUNCT
fumecheng-7012	98	34	small	small	ADJ
fumecheng-7012	98	35	-	-	PUNCT
fumecheng-7012	98	36	size	size	NOUN
fumecheng-7012	98	37	-	-	PUNCT
fumecheng-7012	98	38	scale	scale	NOUN
fumecheng-7012	98	39	effect	effect	NOUN
fumecheng-7012	98	40	)	)	PUNCT
fumecheng-7012	98	41	associated	associate	VERB
fumecheng-7012	98	42	with	with	ADP
fumecheng-7012	98	43	the	the	DET
fumecheng-7012	98	44	second	second	ADJ
fumecheng-7012	98	45	and	and	CCONJ
fumecheng-7012	98	46	the	the	DET
fumecheng-7012	98	47	third	third	ADJ
fumecheng-7012	98	48	terms	term	NOUN
fumecheng-7012	98	49	of	of	ADP
fumecheng-7012	98	50	the	the	DET
fumecheng-7012	98	51	nonlocal	nonlocal	ADJ
fumecheng-7012	98	52	strain	strain	NOUN
fumecheng-7012	98	53	gradient	gradient	NOUN
fumecheng-7012	98	54	model	model	NOUN
fumecheng-7012	98	55	,	,	PUNCT
fumecheng-7012	98	56	respectively	respectively	ADV
fumecheng-7012	98	57	.	.	PUNCT
fumecheng-7012	99	1	the	the	DET
fumecheng-7012	99	2	elastic	elastic	ADJ
fumecheng-7012	99	3	energy	energy	NOUN
fumecheng-7012	99	4	time	time	NOUN
fumecheng-7012	99	5	rate	rate	NOUN
fumecheng-7012	99	6	of	of	ADP
fumecheng-7012	99	7	the	the	DET
fumecheng-7012	99	8	energy	energy	NOUN
fumecheng-7012	99	9	functional	functional	ADJ
fumecheng-7012	99	10	w	w	NOUN
fumecheng-7012	99	11	of	of	ADP
fumecheng-7012	99	12	eq	eq	PROPN
fumecheng-7012	99	13	.	.	PUNCT
fumecheng-7012	100	1	(	(	PUNCT
fumecheng-7012	100	2	1	1	X
fumecheng-7012	100	3	)	)	PUNCT
fumecheng-7012	100	4	is	be	AUX
fumecheng-7012	100	5	:	:	PUNCT
fumecheng-7012	100	6	1	1	NUM
fumecheng-7012	100	7	2	2	NUM
fumecheng-7012	100	8	1	1	NUM
fumecheng-7012	100	9	2	2	NUM
fumecheng-7012	100	10	0	0	NUM
fumecheng-7012	100	11	1	1	NUM
fumecheng-7012	100	12	1	1	NUM
fumecheng-7012	100	13	2	2	NUM
fumecheng-7012	100	14	2	2	NUM
fumecheng-7012	100	15	1	1	NUM
fumecheng-7012	100	16	2	2	NUM
fumecheng-7012	100	17	[	[	PUNCT
fumecheng-7012	100	18	(	(	PUNCT
fumecheng-7012	100	19	)	)	PUNCT
fumecheng-7012	100	20	,	,	PUNCT
fumecheng-7012	100	21	(	(	PUNCT
fumecheng-7012	100	22	)	)	PUNCT
fumecheng-7012	100	23	,	,	PUNCT
fumecheng-7012	100	24	(	(	PUNCT
fumecheng-7012	100	25	)	)	PUNCT
fumecheng-7012	100	26	]	]	X
fumecheng-7012	101	1	xx	xx	NUM
fumecheng-7012	101	2	xx	xx	NUM
fumecheng-7012	102	1	xx	xx	NUM
fumecheng-7012	102	2	xx	xx	NUM
fumecheng-7012	103	1	w	w	PROPN
fumecheng-7012	103	2	w	w	PROPN
fumecheng-7012	103	3	w	w	PROPN
fumecheng-7012	103	4	w	w	PROPN
fumecheng-7012	103	5	x	x	PUNCT
fumecheng-7012	103	6	x	x	SYM
fumecheng-7012	103	7	x	x	SYM
fumecheng-7012	103	8			ADJ
fumecheng-7012	103	9			ADJ
fumecheng-7012	103	10			PROPN
fumecheng-7012	103	11	=	=	PUNCT
fumecheng-7012	104	1	+	+	PUNCT
fumecheng-7012	105	1	+	+	PUNCT
fumecheng-7012	105	2	=	=	SYM
fumecheng-7012	105	3	+	+	X
fumecheng-7012	105	4	+	+	NUM
fumecheng-7012	105	5			ADJ
fumecheng-7012	105	6			ADJ
fumecheng-7012	105	7			ADJ
fumecheng-7012	105	8			PROPN
fumecheng-7012	105	9			PROPN
fumecheng-7012	105	10			PROPN
fumecheng-7012	105	11			PROPN
fumecheng-7012	105	12			PROPN
fumecheng-7012	105	13			PROPN
fumecheng-7012	105	14			PROPN
fumecheng-7012	105	15			PROPN
fumecheng-7012	105	16			PROPN
fumecheng-7012	105	17			PROPN
fumecheng-7012	105	18			PROPN
fumecheng-7012	105	19			PROPN
fumecheng-7012	105	20			PROPN
fumecheng-7012	105	21			PROPN
fumecheng-7012	105	22			PROPN
fumecheng-7012	105	23	(	(	PUNCT
fumecheng-7012	105	24	2	2	NUM
fumecheng-7012	105	25	)	)	PUNCT
fumecheng-7012	105	26	where	where	SCONJ
fumecheng-7012	105	27	a	a	DET
fumecheng-7012	105	28	dot	dot	NOUN
fumecheng-7012	105	29	on	on	ADP
fumecheng-7012	105	30	top	top	NOUN
fumecheng-7012	105	31	of	of	ADP
fumecheng-7012	105	32	a	a	DET
fumecheng-7012	105	33	symbol	symbol	NOUN
fumecheng-7012	105	34	(	(	PUNCT
fumecheng-7012	105	35	·	·	NOUN
fumecheng-7012	105	36	)	)	PUNCT
fumecheng-7012	105	37	denotes	denote	VERB
fumecheng-7012	105	38	the	the	DET
fumecheng-7012	105	39	time	time	NOUN
fumecheng-7012	105	40	derivative	derivative	ADJ
fumecheng-7012	105	41	;	;	PUNCT
fumecheng-7012	105	42	σ0	σ0	PROPN
fumecheng-7012	105	43	is	be	AUX
fumecheng-7012	105	44	the	the	DET
fumecheng-7012	105	45	local	local	ADJ
fumecheng-7012	105	46	(	(	PUNCT
fumecheng-7012	105	47	conventional	conventional	ADJ
fumecheng-7012	105	48	)	)	PUNCT
fumecheng-7012	105	49	normal	normal	ADJ
fumecheng-7012	105	50	stress	stress	NOUN
fumecheng-7012	105	51	;	;	PUNCT
fumecheng-7012	105	52	σ1	σ1	PROPN
fumecheng-7012	105	53	and	and	CCONJ
fumecheng-7012	105	54	σ2	σ2	PROPN
fumecheng-7012	105	55	are	be	AUX
fumecheng-7012	105	56	higher	high	ADJ
fumecheng-7012	105	57	-	-	PUNCT
fumecheng-7012	105	58	order	order	NOUN
fumecheng-7012	105	59	normal	normal	ADJ
fumecheng-7012	105	60	stresses	stress	NOUN
fumecheng-7012	105	61	associated	associate	VERB
fumecheng-7012	105	62	with	with	ADP
fumecheng-7012	105	63	the	the	DET
fumecheng-7012	105	64	second	second	ADJ
fumecheng-7012	105	65	and	and	CCONJ
fumecheng-7012	105	66	the	the	DET
fumecheng-7012	105	67	third	third	ADJ
fumecheng-7012	105	68	terms	term	NOUN
fumecheng-7012	105	69	of	of	ADP
fumecheng-7012	105	70	strain	strain	NOUN
fumecheng-7012	105	71	gradient	gradient	NOUN
fumecheng-7012	105	72	,	,	PUNCT
fumecheng-7012	105	73	respectively	respectively	ADV
fumecheng-7012	105	74	.	.	PUNCT
fumecheng-7012	106	1	these	these	DET
fumecheng-7012	106	2	normal	normal	ADJ
fumecheng-7012	106	3	stresses	stress	NOUN
fumecheng-7012	106	4	can	can	AUX
fumecheng-7012	106	5	be	be	AUX
fumecheng-7012	106	6	defined	define	VERB
fumecheng-7012	106	7	as	as	ADP
fumecheng-7012	106	8	:	:	PUNCT
fumecheng-7012	106	9	0	0	NUM
fumecheng-7012	106	10	xx	xx	NUM
fumecheng-7012	107	1	xx	xx	NUM
fumecheng-7012	107	2	xx	xx	NUM
fumecheng-7012	108	1	w	w	PROPN
fumecheng-7012	108	2	e	e	NOUN
fumecheng-7012	108	3			ADJ
fumecheng-7012	108	4	=	=	SYM
fumecheng-7012	108	5	=	=	SYM
fumecheng-7012	108	6			ADJ
fumecheng-7012	108	7			PROPN
fumecheng-7012	108	8			PROPN
fumecheng-7012	108	9			PROPN
fumecheng-7012	108	10	(	(	PUNCT
fumecheng-7012	108	11	3	3	NUM
fumecheng-7012	108	12	)	)	SYM
fumecheng-7012	108	13	2	2	NUM
fumecheng-7012	108	14	1	1	NUM
fumecheng-7012	108	15	0	0	NUM
fumecheng-7012	108	16	1	1	NUM
fumecheng-7012	108	17	1	1	NUM
fumecheng-7012	108	18	(	(	PUNCT
fumecheng-7012	108	19	)	)	PUNCT
fumecheng-7012	108	20	xx	xx	NUM
fumecheng-7012	108	21	w	w	PROPN
fumecheng-7012	108	22	e	e	PROPN
fumecheng-7012	108	23	a	a	DET
fumecheng-7012	108	24	e	e	NOUN
fumecheng-7012	108	25			NOUN
fumecheng-7012	108	26	=	=	SYM
fumecheng-7012	108	27	=	=	SYM
fumecheng-7012	108	28			ADJ
fumecheng-7012	108	29			PROPN
fumecheng-7012	108	30			PROPN
fumecheng-7012	108	31			PROPN
fumecheng-7012	108	32	(	(	PUNCT
fumecheng-7012	108	33	4	4	NUM
fumecheng-7012	108	34	)	)	PUNCT
fumecheng-7012	108	35	4	4	NUM
fumecheng-7012	108	36	2	2	NUM
fumecheng-7012	108	37	0	0	NUM
fumecheng-7012	108	38	2	2	NUM
fumecheng-7012	108	39	2	2	NUM
fumecheng-7012	108	40	(	(	PUNCT
fumecheng-7012	108	41	)	)	PUNCT
fumecheng-7012	108	42	xx	xx	PROPN
fumecheng-7012	108	43	w	w	PROPN
fumecheng-7012	108	44	e	e	PROPN
fumecheng-7012	108	45	a	a	DET
fumecheng-7012	108	46	e	e	NOUN
fumecheng-7012	108	47			NOUN
fumecheng-7012	108	48	=	=	SYM
fumecheng-7012	108	49	=	=	SYM
fumecheng-7012	108	50			ADJ
fumecheng-7012	108	51			PROPN
fumecheng-7012	108	52			PROPN
fumecheng-7012	108	53			PROPN
fumecheng-7012	108	54	(	(	PUNCT
fumecheng-7012	108	55	5	5	X
fumecheng-7012	108	56	)	)	PUNCT
fumecheng-7012	108	57	it	it	PRON
fumecheng-7012	108	58	is	be	AUX
fumecheng-7012	108	59	clear	clear	ADJ
fumecheng-7012	108	60	from	from	ADP
fumecheng-7012	108	61	eqs	eqs	PROPN
fumecheng-7012	108	62	.	.	PUNCT
fumecheng-7012	109	1	(	(	PUNCT
fumecheng-7012	109	2	3	3	X
fumecheng-7012	109	3	)	)	PUNCT
fumecheng-7012	109	4	to	to	ADP
fumecheng-7012	109	5	(	(	PUNCT
fumecheng-7012	109	6	5	5	NUM
fumecheng-7012	109	7	)	)	PUNCT
fumecheng-7012	109	8	that	that	SCONJ
fumecheng-7012	109	9	the	the	DET
fumecheng-7012	109	10	local	local	ADJ
fumecheng-7012	109	11	normal	normal	ADJ
fumecheng-7012	109	12	stress	stress	NOUN
fumecheng-7012	109	13	σ0	σ0	PROPN
fumecheng-7012	109	14	is	be	AUX
fumecheng-7012	109	15	the	the	DET
fumecheng-7012	109	16	conjugate	conjugate	ADJ
fumecheng-7012	109	17	-	-	PUNCT
fumecheng-7012	109	18	work	work	NOUN
fumecheng-7012	109	19	pair	pair	NOUN
fumecheng-7012	109	20	of	of	ADP
fumecheng-7012	109	21	the	the	DET
fumecheng-7012	109	22	axial	axial	ADJ
fumecheng-7012	109	23	strain	strain	NOUN
fumecheng-7012	109	24	εxx	εxx	PROPN
fumecheng-7012	109	25	,	,	PUNCT
fumecheng-7012	109	26	as	as	SCONJ
fumecheng-7012	109	27	shown	show	VERB
fumecheng-7012	109	28	in	in	ADP
fumecheng-7012	109	29	eq	eq	ADP
fumecheng-7012	109	30	.	.	PUNCT
fumecheng-7012	110	1	(	(	PUNCT
fumecheng-7012	110	2	3	3	NUM
fumecheng-7012	110	3	)	)	PUNCT
fumecheng-7012	110	4	,	,	PUNCT
fumecheng-7012	110	5	while	while	SCONJ
fumecheng-7012	110	6	the	the	DET
fumecheng-7012	110	7	higher	high	ADJ
fumecheng-7012	110	8	-	-	PUNCT
fumecheng-7012	110	9	order	order	NOUN
fumecheng-7012	110	10	normal	normal	ADJ
fumecheng-7012	110	11	stresses	stress	NOUN
fumecheng-7012	110	12	σ1	σ1	PROPN
fumecheng-7012	110	13	and	and	CCONJ
fumecheng-7012	110	14	σ2	σ2	PROPN
fumecheng-7012	110	15	are	be	AUX
fumecheng-7012	110	16	the	the	DET
fumecheng-7012	110	17	conjugate	conjugate	ADJ
fumecheng-7012	110	18	-	-	PUNCT
fumecheng-7012	110	19	work	work	NOUN
fumecheng-7012	110	20	pairs	pair	NOUN
fumecheng-7012	110	21	of	of	ADP
fumecheng-7012	110	22	the	the	DET
fumecheng-7012	110	23	axial	axial	ADJ
fumecheng-7012	110	24	strain	strain	NOUN
fumecheng-7012	110	25	gradients	gradient	NOUN
fumecheng-7012	110	26	ε1	ε1	VERB
fumecheng-7012	110	27	and	and	CCONJ
fumecheng-7012	110	28	ε2	ε2	ADJ
fumecheng-7012	110	29	as	as	SCONJ
fumecheng-7012	110	30	demonstrated	demonstrate	VERB
fumecheng-7012	110	31	in	in	ADP
fumecheng-7012	110	32	eqs	eqs	PROPN
fumecheng-7012	110	33	.	.	PUNCT
fumecheng-7012	111	1	(	(	PUNCT
fumecheng-7012	111	2	4	4	NUM
fumecheng-7012	111	3	)	)	PUNCT
fumecheng-7012	111	4	and	and	CCONJ
fumecheng-7012	111	5	(	(	PUNCT
fumecheng-7012	111	6	5	5	NUM
fumecheng-7012	111	7	)	)	PUNCT
fumecheng-7012	111	8	,	,	PUNCT
fumecheng-7012	111	9	respectively	respectively	ADV
fumecheng-7012	111	10	.	.	PUNCT
fumecheng-7012	112	1	in	in	ADP
fumecheng-7012	112	2	order	order	NOUN
fumecheng-7012	112	3	to	to	PART
fumecheng-7012	112	4	fulfill	fulfill	VERB
fumecheng-7012	112	5	the	the	DET
fumecheng-7012	112	6	thermodynamics	thermodynamic	NOUN
fumecheng-7012	112	7	,	,	PUNCT
fumecheng-7012	112	8	the	the	DET
fumecheng-7012	112	9	elastic	elastic	ADJ
fumecheng-7012	112	10	energy	energy	NOUN
fumecheng-7012	112	11	time	time	NOUN
fumecheng-7012	112	12	rate	rate	NOUN
fumecheng-7012	112	13	of	of	ADP
fumecheng-7012	112	14	the	the	DET
fumecheng-7012	112	15	energy	energy	NOUN
fumecheng-7012	112	16	functional	functional	ADJ
fumecheng-7012	112	17	w	w	NOUN
fumecheng-7012	112	18	of	of	ADP
fumecheng-7012	112	19	eq	eq	PROPN
fumecheng-7012	112	20	.	.	PUNCT
fumecheng-7012	113	1	(	(	PUNCT
fumecheng-7012	113	2	2	2	X
fumecheng-7012	113	3	)	)	PUNCT
fumecheng-7012	113	4	must	must	AUX
fumecheng-7012	113	5	be	be	AUX
fumecheng-7012	113	6	satisfied	satisfied	ADJ
fumecheng-7012	113	7	as	as	ADP
fumecheng-7012	113	8	following	follow	VERB
fumecheng-7012	113	9	condition	condition	NOUN
fumecheng-7012	114	1	[	[	X
fumecheng-7012	114	2	33	33	NUM
fumecheng-7012	114	3	]	]	PUNCT
fumecheng-7012	114	4	:	:	PUNCT
fumecheng-7012	114	5	xx	xx	NUM
fumecheng-7012	114	6	xx	xx	NUM
fumecheng-7012	115	1	l	l	NOUN
fumecheng-7012	115	2	a	a	DET
fumecheng-7012	115	3	l	l	NOUN
fumecheng-7012	115	4	a	a	DET
fumecheng-7012	115	5	da	da	X
fumecheng-7012	115	6	dx	dx	PROPN
fumecheng-7012	116	1	wda	wda	PROPN
fumecheng-7012	116	2	dx	dx	PROPN
fumecheng-7012	116	3			PROPN
fumecheng-7012	116	4			NOUN
fumecheng-7012	116	5			NOUN
fumecheng-7012	116	6			NOUN
fumecheng-7012	116	7			PROPN
fumecheng-7012	116	8	−	−	PROPN
fumecheng-7012	117	1			PROPN
fumecheng-7012	118	1			PROPN
fumecheng-7012	118	2			PROPN
fumecheng-7012	119	1			ADJ
fumecheng-7012	119	2			PROPN
fumecheng-7012	119	3			PROPN
fumecheng-7012	119	4			NOUN
fumecheng-7012	119	5			PUNCT
fumecheng-7012	119	6			X
fumecheng-7012	119	7			X
fumecheng-7012	119	8			X
fumecheng-7012	119	9	(	(	PUNCT
fumecheng-7012	119	10	6	6	NUM
fumecheng-7012	119	11	)	)	PUNCT
fumecheng-7012	119	12	where	where	SCONJ
fumecheng-7012	119	13	σxx	σxx	NOUN
fumecheng-7012	119	14	is	be	AUX
fumecheng-7012	119	15	the	the	DET
fumecheng-7012	119	16	nonlocal	nonlocal	ADJ
fumecheng-7012	119	17	normal	normal	ADJ
fumecheng-7012	119	18	stress	stress	NOUN
fumecheng-7012	119	19	.	.	PUNCT
fumecheng-7012	120	1	by	by	ADP
fumecheng-7012	120	2	substituting	substitute	VERB
fumecheng-7012	120	3	eqs	eqs	PROPN
fumecheng-7012	120	4	.	.	PUNCT
fumecheng-7012	121	1	(	(	PUNCT
fumecheng-7012	121	2	3	3	X
fumecheng-7012	121	3	)	)	PUNCT
fumecheng-7012	121	4	to	to	ADP
fumecheng-7012	121	5	(	(	PUNCT
fumecheng-7012	121	6	5	5	NUM
fumecheng-7012	121	7	)	)	PUNCT
fumecheng-7012	121	8	into	into	ADP
fumecheng-7012	121	9	eq	eq	NOUN
fumecheng-7012	121	10	.	.	PUNCT
fumecheng-7012	122	1	(	(	PUNCT
fumecheng-7012	122	2	6	6	NUM
fumecheng-7012	122	3	)	)	PUNCT
fumecheng-7012	122	4	,	,	PUNCT
fumecheng-7012	122	5	the	the	DET
fumecheng-7012	122	6	relation	relation	NOUN
fumecheng-7012	122	7	is	be	AUX
fumecheng-7012	122	8	:	:	PUNCT
fumecheng-7012	122	9	0	0	NUM
fumecheng-7012	122	10	1	1	NUM
fumecheng-7012	122	11	1	1	NUM
fumecheng-7012	122	12	2	2	NUM
fumecheng-7012	122	13	2	2	NUM
fumecheng-7012	122	14	l	l	NOUN
fumecheng-7012	122	15	a	a	DET
fumecheng-7012	122	16	local	local	ADJ
fumecheng-7012	122	17	term	term	NOUN
fumecheng-7012	122	18	second	second	ADJ
fumecheng-7012	122	19	-	-	PUNCT
fumecheng-7012	122	20	order	order	NOUN
fumecheng-7012	122	21	strain	strain	NOUN
fumecheng-7012	122	22	gradient	gradient	ADJ
fumecheng-7012	122	23	term	term	NOUN
fumecheng-7012	122	24	fourth	fourth	ADJ
fumecheng-7012	122	25	-	-	PUNCT
fumecheng-7012	122	26	order	order	NOUN
fumecheng-7012	122	27	strain	strain	NOUN
fumecheng-7012	122	28	gradient	gradient	ADJ
fumecheng-7012	122	29	term	term	NOUN
fumecheng-7012	122	30	σ	σ	PROPN
fumecheng-7012	122	31	da	da	PROPN
fumecheng-7012	122	32	dx	dx	PROPN
fumecheng-7012	122	33	0xx	0xx	NOUN
fumecheng-7012	123	1	xx	xx	NUM
fumecheng-7012	123	2	xx	xx	NUM
fumecheng-7012	124	1	l	l	NOUN
fumecheng-7012	124	2	a	a	DET
fumecheng-7012	124	3	l	l	NOUN
fumecheng-7012	124	4	a	a	DET
fumecheng-7012	124	5	l	l	NOUN
fumecheng-7012	124	6	a	a	PRON
fumecheng-7012	124	7	da	da	PROPN
fumecheng-7012	124	8	dx	dx	PROPN
fumecheng-7012	124	9	da	da	PROPN
fumecheng-7012	124	10	dx	dx	PROPN
fumecheng-7012	124	11	da	da	PROPN
fumecheng-7012	124	12	dx	dx	PROPN
fumecheng-7012	125	1			NOUN
fumecheng-7012	125	2			PROPN
fumecheng-7012	125	3			NOUN
fumecheng-7012	125	4			PROPN
fumecheng-7012	125	5			NOUN
fumecheng-7012	125	6			PROPN
fumecheng-7012	125	7			NOUN
fumecheng-7012	125	8			NOUN
fumecheng-7012	126	1	−	−	PROPN
fumecheng-7012	126	2	−	−	NOUN
fumecheng-7012	127	1	−	−	PROPN
fumecheng-7012	127	2	=	=	SYM
fumecheng-7012	127	3			PROPN
fumecheng-7012	128	1			PROPN
fumecheng-7012	128	2			PROPN
fumecheng-7012	129	1			INTJ
fumecheng-7012	130	1			PROPN
fumecheng-7012	131	1			INTJ
fumecheng-7012	132	1			PROPN
fumecheng-7012	132	2			PROPN
fumecheng-7012	133	1			ADJ
fumecheng-7012	133	2			PROPN
fumecheng-7012	133	3			PROPN
fumecheng-7012	133	4			NOUN
fumecheng-7012	133	5			PROPN
fumecheng-7012	133	6			NOUN
fumecheng-7012	133	7			PROPN
fumecheng-7012	133	8			NOUN
fumecheng-7012	133	9			PUNCT
fumecheng-7012	133	10			X
fumecheng-7012	133	11			X
fumecheng-7012	134	1			X
fumecheng-7012	134	2			NOUN
fumecheng-7012	134	3			X
fumecheng-7012	134	4			PUNCT
fumecheng-7012	134	5			PROPN
fumecheng-7012	134	6			PROPN
fumecheng-7012	134	7			PROPN
fumecheng-7012	134	8			PROPN
fumecheng-7012	134	9			PROPN
fumecheng-7012	134	10			PROPN
fumecheng-7012	134	11			PROPN
fumecheng-7012	134	12	(	(	PUNCT
fumecheng-7012	134	13	7	7	NUM
fumecheng-7012	134	14	)	)	PUNCT
fumecheng-7012	134	15	662	662	NUM
fumecheng-7012	134	16	w.	w.	PROPN
fumecheng-7012	134	17	sae	sae	PROPN
fumecheng-7012	134	18	-	-	PROPN
fumecheng-7012	134	19	long	long	ADV
fumecheng-7012	134	20	,	,	PUNCT
fumecheng-7012	134	21	s.	s.	PROPN
fumecheng-7012	134	22	limkatanyu	limkatanyu	PROPN
fumecheng-7012	134	23	,	,	PUNCT
fumecheng-7012	134	24	p.	p.	NOUN
fumecheng-7012	134	25	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	134	26	,	,	PUNCT
fumecheng-7012	134	27	et	et	PROPN
fumecheng-7012	134	28	al	al	PROPN
fumecheng-7012	134	29	.	.	PUNCT
fumecheng-7012	135	1	to	to	PART
fumecheng-7012	135	2	simplify	simplify	VERB
fumecheng-7012	135	3	the	the	DET
fumecheng-7012	135	4	variational	variational	ADJ
fumecheng-7012	135	5	form	form	NOUN
fumecheng-7012	135	6	in	in	ADP
fumecheng-7012	135	7	eq	eq	ADP
fumecheng-7012	135	8	.	.	PUNCT
fumecheng-7012	136	1	(	(	PUNCT
fumecheng-7012	136	2	7	7	NUM
fumecheng-7012	136	3	)	)	PUNCT
fumecheng-7012	136	4	for	for	ADP
fumecheng-7012	136	5	analysis	analysis	NOUN
fumecheng-7012	136	6	of	of	ADP
fumecheng-7012	136	7	a	a	DET
fumecheng-7012	136	8	uniaxial	uniaxial	ADJ
fumecheng-7012	136	9	problem	problem	NOUN
fumecheng-7012	136	10	,	,	PUNCT
fumecheng-7012	136	11	it	it	PRON
fumecheng-7012	136	12	can	can	AUX
fumecheng-7012	136	13	apply	apply	VERB
fumecheng-7012	136	14	terms	term	NOUN
fumecheng-7012	136	15	in	in	ADP
fumecheng-7012	136	16	the	the	DET
fumecheng-7012	136	17	axial	axial	ADJ
fumecheng-7012	136	18	force	force	NOUN
fumecheng-7012	136	19	nxx(x	nxx(x	ADV
fumecheng-7012	136	20	):	):	PUNCT
fumecheng-7012	136	21	0	0	NUM
fumecheng-7012	136	22	1	1	NUM
fumecheng-7012	136	23	1	1	NUM
fumecheng-7012	136	24	2	2	NUM
fumecheng-7012	136	25	2	2	NUM
fumecheng-7012	136	26	local	local	ADJ
fumecheng-7012	136	27	term	term	NOUN
fumecheng-7012	136	28	second	second	ADJ
fumecheng-7012	136	29	-	-	PUNCT
fumecheng-7012	136	30	order	order	NOUN
fumecheng-7012	136	31	strain	strain	NOUN
fumecheng-7012	136	32	gradient	gradient	ADJ
fumecheng-7012	136	33	term	term	NOUN
fumecheng-7012	136	34	fourth	fourth	ADJ
fumecheng-7012	136	35	-	-	PUNCT
fumecheng-7012	136	36	order	order	NOUN
fumecheng-7012	136	37	strain	strain	NOUN
fumecheng-7012	136	38	gradient	gradient	ADJ
fumecheng-7012	136	39	term	term	NOUN
fumecheng-7012	136	40	(	(	PUNCT
fumecheng-7012	136	41	)	)	PUNCT
fumecheng-7012	136	42	(	(	PUNCT
fumecheng-7012	136	43	)	)	PUNCT
fumecheng-7012	136	44	(	(	PUNCT
fumecheng-7012	136	45	)	)	PUNCT
fumecheng-7012	136	46	(	(	PUNCT
fumecheng-7012	136	47	)	)	PUNCT
fumecheng-7012	136	48	0xx	0xx	NOUN
fumecheng-7012	137	1	xx	xx	NUM
fumecheng-7012	137	2	xx	xx	NUM
fumecheng-7012	138	1	l	l	NOUN
fumecheng-7012	138	2	l	l	NOUN
fumecheng-7012	138	3	l	l	X
fumecheng-7012	138	4	l	l	NOUN
fumecheng-7012	139	1	n	n	CCONJ
fumecheng-7012	139	2	x	x	SYM
fumecheng-7012	139	3	dx	dx	PROPN
fumecheng-7012	139	4	n	n	PROPN
fumecheng-7012	139	5	x	x	SYM
fumecheng-7012	139	6	dx	dx	PROPN
fumecheng-7012	139	7	n	n	PROPN
fumecheng-7012	139	8	x	x	PROPN
fumecheng-7012	139	9	dx	dx	PROPN
fumecheng-7012	139	10	n	n	PROPN
fumecheng-7012	139	11	x	x	X
fumecheng-7012	139	12	dx−	dx−	ADP
fumecheng-7012	139	13	−	−	NOUN
fumecheng-7012	139	14	−	−	PROPN
fumecheng-7012	140	1	=	=	NOUN
fumecheng-7012	140	2			NOUN
fumecheng-7012	140	3			NOUN
fumecheng-7012	140	4			PUNCT
fumecheng-7012	141	1			PROPN
fumecheng-7012	141	2			PROPN
fumecheng-7012	141	3			PROPN
fumecheng-7012	141	4			PROPN
fumecheng-7012	141	5	(	(	PUNCT
fumecheng-7012	141	6	8)	8)	NUM
fumecheng-7012	141	7	where	where	SCONJ
fumecheng-7012	141	8	0	0	NUM
fumecheng-7012	141	9	0	0	NUM
fumecheng-7012	141	10	(	(	PUNCT
fumecheng-7012	141	11	)	)	PUNCT
fumecheng-7012	141	12	a	a	DET
fumecheng-7012	141	13	n	n	NOUN
fumecheng-7012	141	14	x	x	VERB
fumecheng-7012	141	15	da=	da=	ADV
fumecheng-7012	141	16			NUM
fumecheng-7012	141	17	are	be	AUX
fumecheng-7012	141	18	the	the	DET
fumecheng-7012	141	19	local	local	ADJ
fumecheng-7012	141	20	axial	axial	ADJ
fumecheng-7012	141	21	forces	force	NOUN
fumecheng-7012	141	22	;	;	PUNCT
fumecheng-7012	141	23	1	1	NUM
fumecheng-7012	141	24	1	1	NUM
fumecheng-7012	141	25	(	(	PUNCT
fumecheng-7012	141	26	)	)	PUNCT
fumecheng-7012	141	27	a	a	DET
fumecheng-7012	141	28	n	n	NOUN
fumecheng-7012	141	29	x	x	NOUN
fumecheng-7012	141	30	da=	da=	VERB
fumecheng-7012	141	31			PROPN
fumecheng-7012	141	32	and	and	CCONJ
fumecheng-7012	141	33	2	2	NUM
fumecheng-7012	141	34	2	2	NUM
fumecheng-7012	141	35	(	(	PUNCT
fumecheng-7012	141	36	)	)	PUNCT
fumecheng-7012	141	37	a	a	DET
fumecheng-7012	141	38	n	n	NOUN
fumecheng-7012	141	39	x	x	VERB
fumecheng-7012	141	40	da=	da=	ADV
fumecheng-7012	141	41			NUM
fumecheng-7012	141	42	are	be	AUX
fumecheng-7012	141	43	the	the	DET
fumecheng-7012	141	44	higher	high	ADJ
fumecheng-7012	141	45	-	-	PUNCT
fumecheng-7012	141	46	order	order	NOUN
fumecheng-7012	141	47	axial	axial	ADJ
fumecheng-7012	141	48	forces	force	NOUN
fumecheng-7012	141	49	associated	associate	VERB
fumecheng-7012	141	50	with	with	ADP
fumecheng-7012	141	51	the	the	DET
fumecheng-7012	141	52	second	second	ADJ
fumecheng-7012	141	53	and	and	CCONJ
fumecheng-7012	141	54	the	the	DET
fumecheng-7012	141	55	third	third	ADJ
fumecheng-7012	141	56	terms	term	NOUN
fumecheng-7012	141	57	of	of	ADP
fumecheng-7012	141	58	the	the	DET
fumecheng-7012	141	59	nonlocal	nonlocal	ADJ
fumecheng-7012	141	60	strain	strain	NOUN
fumecheng-7012	141	61	gradient	gradient	NOUN
fumecheng-7012	141	62	model	model	NOUN
fumecheng-7012	141	63	within	within	ADP
fumecheng-7012	141	64	the	the	DET
fumecheng-7012	141	65	thermodynamic	thermodynamic	ADJ
fumecheng-7012	141	66	approach	approach	NOUN
fumecheng-7012	141	67	,	,	PUNCT
fumecheng-7012	141	68	respectively	respectively	ADV
fumecheng-7012	141	69	.	.	PUNCT
fumecheng-7012	142	1	3	3	X
fumecheng-7012	142	2	.	.	X
fumecheng-7012	142	3	surface	surface	NOUN
fumecheng-7012	142	4	elasticity	elasticity	PROPN
fumecheng-7012	142	5	theory	theory	NOUN
fumecheng-7012	142	6	the	the	DET
fumecheng-7012	142	7	size	size	NOUN
fumecheng-7012	142	8	-	-	PUNCT
fumecheng-7012	142	9	dependent	dependent	ADJ
fumecheng-7012	142	10	effect	effect	NOUN
fumecheng-7012	142	11	or	or	CCONJ
fumecheng-7012	142	12	the	the	DET
fumecheng-7012	142	13	so	so	ADV
fumecheng-7012	142	14	-	-	PUNCT
fumecheng-7012	142	15	called	call	VERB
fumecheng-7012	142	16	“	"	PUNCT
fumecheng-7012	142	17	surface	surface	NOUN
fumecheng-7012	142	18	energy	energy	NOUN
fumecheng-7012	142	19	”	"	PUNCT
fumecheng-7012	142	20	effect	effect	NOUN
fumecheng-7012	142	21	stems	stem	VERB
fumecheng-7012	142	22	from	from	ADP
fumecheng-7012	142	23	different	different	ADJ
fumecheng-7012	142	24	energy	energy	NOUN
fumecheng-7012	142	25	density	density	NOUN
fumecheng-7012	142	26	at	at	ADP
fumecheng-7012	142	27	the	the	DET
fumecheng-7012	142	28	surfaces	surface	NOUN
fumecheng-7012	142	29	of	of	ADP
fumecheng-7012	142	30	the	the	DET
fumecheng-7012	142	31	bulk	bulk	ADJ
fumecheng-7012	142	32	material	material	NOUN
fumecheng-7012	142	33	,	,	PUNCT
fumecheng-7012	142	34	becoming	become	VERB
fumecheng-7012	142	35	significant	significant	ADJ
fumecheng-7012	142	36	when	when	SCONJ
fumecheng-7012	142	37	the	the	DET
fumecheng-7012	142	38	surfaceto	surfaceto	NOUN
fumecheng-7012	142	39	-	-	PUNCT
fumecheng-7012	142	40	volume	volume	NOUN
fumecheng-7012	142	41	ratio	ratio	NOUN
fumecheng-7012	142	42	is	be	AUX
fumecheng-7012	142	43	large	large	ADJ
fumecheng-7012	142	44	.	.	PUNCT
fumecheng-7012	143	1	this	this	PRON
fumecheng-7012	143	2	is	be	AUX
fumecheng-7012	143	3	found	find	VERB
fumecheng-7012	143	4	in	in	ADP
fumecheng-7012	143	5	various	various	ADJ
fumecheng-7012	143	6	experiments	experiment	NOUN
fumecheng-7012	143	7	and	and	CCONJ
fumecheng-7012	143	8	in	in	ADP
fumecheng-7012	143	9	atomistic	atomistic	ADJ
fumecheng-7012	143	10	simulations	simulation	NOUN
fumecheng-7012	143	11	of	of	ADP
fumecheng-7012	143	12	micro	micro	NOUN
fumecheng-7012	143	13	/	/	SYM
fumecheng-7012	143	14	nano	nano	NOUN
fumecheng-7012	143	15	-	-	PUNCT
fumecheng-7012	143	16	scale	scale	NOUN
fumecheng-7012	143	17	problems	problem	NOUN
fumecheng-7012	143	18	[	[	X
fumecheng-7012	143	19	38	38	NUM
fumecheng-7012	143	20	,	,	PUNCT
fumecheng-7012	143	21	41	41	NUM
fumecheng-7012	143	22	]	]	PUNCT
fumecheng-7012	143	23	.	.	PUNCT
fumecheng-7012	144	1	to	to	PART
fumecheng-7012	144	2	account	account	VERB
fumecheng-7012	144	3	for	for	ADP
fumecheng-7012	144	4	the	the	DET
fumecheng-7012	144	5	effect	effect	NOUN
fumecheng-7012	144	6	of	of	ADP
fumecheng-7012	144	7	surfaces	surface	NOUN
fumecheng-7012	144	8	and	and	CCONJ
fumecheng-7012	144	9	interfaces	interface	NOUN
fumecheng-7012	144	10	,	,	PUNCT
fumecheng-7012	144	11	gurtin	gurtin	NOUN
fumecheng-7012	144	12	and	and	CCONJ
fumecheng-7012	144	13	murdoch	murdoch	PROPN
fumecheng-7012	145	1	[	[	X
fumecheng-7012	145	2	42	42	NUM
fumecheng-7012	145	3	-	-	SYM
fumecheng-7012	145	4	43	43	NUM
fumecheng-7012	145	5	]	]	PUNCT
fumecheng-7012	145	6	introduced	introduce	VERB
fumecheng-7012	145	7	a	a	DET
fumecheng-7012	145	8	non	non	ADJ
fumecheng-7012	145	9	-	-	ADJ
fumecheng-7012	145	10	classical	classical	ADJ
fumecheng-7012	145	11	continuum	continuum	ADJ
fumecheng-7012	145	12	model	model	NOUN
fumecheng-7012	145	13	of	of	ADP
fumecheng-7012	145	14	surface	surface	NOUN
fumecheng-7012	145	15	elasticity	elasticity	NOUN
fumecheng-7012	145	16	under	under	ADP
fumecheng-7012	145	17	the	the	DET
fumecheng-7012	145	18	hypothesis	hypothesis	NOUN
fumecheng-7012	145	19	of	of	ADP
fumecheng-7012	145	20	a	a	DET
fumecheng-7012	145	21	zero	zero	NUM
fumecheng-7012	145	22	-	-	PUNCT
fumecheng-7012	145	23	thickness	thickness	NOUN
fumecheng-7012	145	24	surface	surface	NOUN
fumecheng-7012	145	25	layer	layer	NOUN
fumecheng-7012	145	26	and	and	CCONJ
fumecheng-7012	145	27	perfect	perfect	ADJ
fumecheng-7012	145	28	bonding	bonding	NOUN
fumecheng-7012	145	29	between	between	ADP
fumecheng-7012	145	30	a	a	DET
fumecheng-7012	145	31	solid	solid	ADJ
fumecheng-7012	145	32	core	core	NOUN
fumecheng-7012	145	33	and	and	CCONJ
fumecheng-7012	145	34	an	an	DET
fumecheng-7012	145	35	outer	outer	ADJ
fumecheng-7012	145	36	surface	surface	NOUN
fumecheng-7012	145	37	shell	shell	NOUN
fumecheng-7012	145	38	,	,	PUNCT
fumecheng-7012	145	39	as	as	SCONJ
fumecheng-7012	145	40	shown	show	VERB
fumecheng-7012	145	41	in	in	ADP
fumecheng-7012	145	42	fig	fig	NOUN
fumecheng-7012	145	43	1	1	NUM
fumecheng-7012	145	44	.	.	PUNCT
fumecheng-7012	146	1	for	for	ADP
fumecheng-7012	146	2	the	the	DET
fumecheng-7012	146	3	analysis	analysis	NOUN
fumecheng-7012	146	4	of	of	ADP
fumecheng-7012	146	5	the	the	DET
fumecheng-7012	146	6	uniaxial	uniaxial	ADJ
fumecheng-7012	146	7	responses	response	NOUN
fumecheng-7012	146	8	in	in	ADP
fumecheng-7012	146	9	this	this	DET
fumecheng-7012	146	10	study	study	NOUN
fumecheng-7012	146	11	,	,	PUNCT
fumecheng-7012	146	12	the	the	DET
fumecheng-7012	146	13	relation	relation	NOUN
fumecheng-7012	146	14	between	between	ADP
fumecheng-7012	146	15	the	the	DET
fumecheng-7012	146	16	surface	surface	NOUN
fumecheng-7012	146	17	stress	stress	NOUN
fumecheng-7012	146	18	τxx	τxx	VERB
fumecheng-7012	146	19	and	and	CCONJ
fumecheng-7012	146	20	surface	surface	NOUN
fumecheng-7012	146	21	strain	strain	NOUN
fumecheng-7012	146	22	εsur	εsur	NOUN
fumecheng-7012	146	23	(	(	PUNCT
fumecheng-7012	146	24	constitutive	constitutive	ADJ
fumecheng-7012	146	25	relation	relation	NOUN
fumecheng-7012	146	26	of	of	ADP
fumecheng-7012	146	27	surface	surface	NOUN
fumecheng-7012	146	28	elasticity	elasticity	NOUN
fumecheng-7012	146	29	)	)	PUNCT
fumecheng-7012	146	30	along	along	ADP
fumecheng-7012	146	31	the	the	DET
fumecheng-7012	146	32	longitudinal	longitudinal	ADJ
fumecheng-7012	146	33	direction	direction	NOUN
fumecheng-7012	146	34	are	be	AUX
fumecheng-7012	146	35	given	give	VERB
fumecheng-7012	146	36	by	by	ADP
fumecheng-7012	146	37	gurtin	gurtin	NOUN
fumecheng-7012	146	38	and	and	CCONJ
fumecheng-7012	146	39	murdoch	murdoch	PROPN
fumecheng-7012	147	1	[	[	X
fumecheng-7012	147	2	42	42	NUM
fumecheng-7012	147	3	-	-	SYM
fumecheng-7012	147	4	43	43	NUM
fumecheng-7012	147	5	]	]	PUNCT
fumecheng-7012	147	6	as	as	ADP
fumecheng-7012	147	7	:	:	PUNCT
fumecheng-7012	147	8	0xx	0xx	ADJ
fumecheng-7012	147	9	sur	sur	PROPN
fumecheng-7012	147	10	sure−	sure−	NOUN
fumecheng-7012	147	11	=	=	NOUN
fumecheng-7012	147	12			NOUN
fumecheng-7012	147	13			NOUN
fumecheng-7012	147	14			PROPN
fumecheng-7012	147	15	(	(	PUNCT
fumecheng-7012	147	16	9	9	NUM
fumecheng-7012	147	17	)	)	PUNCT
fumecheng-7012	147	18	where	where	SCONJ
fumecheng-7012	147	19	esur	esur	ADJ
fumecheng-7012	147	20	and	and	CCONJ
fumecheng-7012	147	21	τ0	τ0	NOUN
fumecheng-7012	147	22	are	be	AUX
fumecheng-7012	147	23	,	,	PUNCT
fumecheng-7012	147	24	respectively	respectively	ADV
fumecheng-7012	147	25	,	,	PUNCT
fumecheng-7012	147	26	the	the	DET
fumecheng-7012	147	27	surface	surface	NOUN
fumecheng-7012	147	28	elastic	elastic	ADJ
fumecheng-7012	147	29	modulus	modulus	NOUN
fumecheng-7012	147	30	and	and	CCONJ
fumecheng-7012	147	31	residual	residual	ADJ
fumecheng-7012	147	32	surface	surface	NOUN
fumecheng-7012	147	33	stress	stress	NOUN
fumecheng-7012	147	34	when	when	SCONJ
fumecheng-7012	147	35	the	the	DET
fumecheng-7012	147	36	values	value	NOUN
fumecheng-7012	147	37	of	of	ADP
fumecheng-7012	147	38	both	both	PRON
fumecheng-7012	147	39	of	of	ADP
fumecheng-7012	147	40	these	these	PRON
fumecheng-7012	147	41	are	be	AUX
fumecheng-7012	147	42	obtained	obtain	VERB
fumecheng-7012	147	43	from	from	ADP
fumecheng-7012	147	44	experiments	experiment	NOUN
fumecheng-7012	147	45	or	or	CCONJ
fumecheng-7012	147	46	from	from	ADP
fumecheng-7012	147	47	atomistic	atomistic	ADJ
fumecheng-7012	147	48	simulations	simulation	NOUN
fumecheng-7012	147	49	[	[	X
fumecheng-7012	147	50	38	38	NUM
fumecheng-7012	147	51	]	]	PUNCT
fumecheng-7012	147	52	.	.	PUNCT
fumecheng-7012	148	1	fig	fig	NOUN
fumecheng-7012	148	2	.	.	PUNCT
fumecheng-7012	149	1	1	1	NUM
fumecheng-7012	149	2	nanowire	nanowire	NOUN
fumecheng-7012	149	3	embedded	embed	VERB
fumecheng-7012	149	4	in	in	ADP
fumecheng-7012	149	5	substrate	substrate	NOUN
fumecheng-7012	149	6	with	with	ADP
fumecheng-7012	149	7	a	a	DET
fumecheng-7012	149	8	circular	circular	NOUN
fumecheng-7012	149	9	or	or	CCONJ
fumecheng-7012	149	10	a	a	DET
fumecheng-7012	149	11	rectangular	rectangular	ADJ
fumecheng-7012	149	12	wire	wire	NOUN
fumecheng-7012	149	13	cross	cross	NOUN
fumecheng-7012	149	14	-	-	NOUN
fumecheng-7012	149	15	section	section	NOUN
fumecheng-7012	149	16	[	[	X
fumecheng-7012	149	17	37	37	NUM
fumecheng-7012	149	18	]	]	PUNCT
fumecheng-7012	149	19	bar	bar	NOUN
fumecheng-7012	149	20	bulk	bulk	ADJ
fumecheng-7012	149	21	bar	bar	NOUN
fumecheng-7012	149	22	bulk	bulk	NOUN
fumecheng-7012	149	23	bar	bar	NOUN
fumecheng-7012	149	24	bulk	bulk	NOUN
fumecheng-7012	149	25	x	x	SYM
fumecheng-7012	149	26	rectangular	rectangular	ADJ
fumecheng-7012	149	27	sectioncircular	sectioncircular	ADJ
fumecheng-7012	149	28	section	section	NOUN
fumecheng-7012	149	29	outer	outer	ADJ
fumecheng-7012	149	30	surface	surface	NOUN
fumecheng-7012	149	31	shell	shell	NOUN
fumecheng-7012	149	32	outer	outer	ADJ
fumecheng-7012	149	33	surface	surface	NOUN
fumecheng-7012	149	34	shell	shell	NOUN
fumecheng-7012	149	35	nanowire	nanowire	NOUN
fumecheng-7012	149	36	z	z	NOUN
fumecheng-7012	149	37	z	z	NOUN
fumecheng-7012	149	38	z	z	NOUN
fumecheng-7012	149	39	y	y	PROPN
fumecheng-7012	149	40	y	y	PROPN
fumecheng-7012	149	41	d	d	PROPN
fumecheng-7012	149	42	b	b	PROPN
fumecheng-7012	149	43	h	h	PRON
fumecheng-7012	149	44	fourth	fourth	ADJ
fumecheng-7012	149	45	-	-	PUNCT
fumecheng-7012	149	46	order	order	NOUN
fumecheng-7012	149	47	strain	strain	VERB
fumecheng-7012	149	48	gradient	gradient	ADJ
fumecheng-7012	149	49	bar	bar	NOUN
fumecheng-7012	149	50	-	-	PUNCT
fumecheng-7012	149	51	substrate	substrate	NOUN
fumecheng-7012	149	52	model	model	NOUN
fumecheng-7012	149	53	with	with	ADP
fumecheng-7012	149	54	nonlocal	nonlocal	ADJ
fumecheng-7012	149	55	and	and	CCONJ
fumecheng-7012	149	56	surface	surface	NOUN
fumecheng-7012	149	57	effects	effect	NOUN
fumecheng-7012	149	58	...	...	PUNCT
fumecheng-7012	149	59	663	663	NUM
fumecheng-7012	149	60	4	4	NUM
fumecheng-7012	149	61	.	.	PUNCT
fumecheng-7012	150	1	formulation	formulation	NOUN
fumecheng-7012	150	2	4.1	4.1	NUM
fumecheng-7012	150	3	.	.	PUNCT
fumecheng-7012	151	1	compatibility	compatibility	NOUN
fumecheng-7012	151	2	equations	equation	NOUN
fumecheng-7012	151	3	based	base	VERB
fumecheng-7012	151	4	on	on	ADP
fumecheng-7012	151	5	the	the	DET
fumecheng-7012	151	6	small	small	ADJ
fumecheng-7012	151	7	strain	strain	NOUN
fumecheng-7012	151	8	assumption	assumption	NOUN
fumecheng-7012	151	9	,	,	PUNCT
fumecheng-7012	151	10	the	the	DET
fumecheng-7012	151	11	sectional	sectional	ADJ
fumecheng-7012	151	12	axial	axial	ADJ
fumecheng-7012	151	13	strain	strain	NOUN
fumecheng-7012	151	14	of	of	ADP
fumecheng-7012	151	15	the	the	DET
fumecheng-7012	151	16	nanowire	nanowire	NOUN
fumecheng-7012	151	17	εxx(x	εxx(x	PROPN
fumecheng-7012	151	18	)	)	PUNCT
fumecheng-7012	151	19	,	,	PUNCT
fumecheng-7012	151	20	and	and	CCONJ
fumecheng-7012	151	21	the	the	DET
fumecheng-7012	151	22	sectional	sectional	ADJ
fumecheng-7012	151	23	axial	axial	ADJ
fumecheng-7012	151	24	strain	strain	NOUN
fumecheng-7012	151	25	gradients	gradient	NOUN
fumecheng-7012	151	26	ε1(x	ε1(x	VERB
fumecheng-7012	151	27	)	)	PUNCT
fumecheng-7012	151	28	and	and	CCONJ
fumecheng-7012	151	29	ε2(x	ε2(x	NOUN
fumecheng-7012	151	30	)	)	PUNCT
fumecheng-7012	151	31	are	be	AUX
fumecheng-7012	151	32	related	relate	VERB
fumecheng-7012	151	33	to	to	ADP
fumecheng-7012	151	34	the	the	DET
fumecheng-7012	151	35	axial	axial	ADJ
fumecheng-7012	151	36	displacement	displacement	NOUN
fumecheng-7012	151	37	of	of	ADP
fumecheng-7012	151	38	the	the	DET
fumecheng-7012	151	39	nanowire	nanowire	NOUN
fumecheng-7012	151	40	ux(x	ux(x	ADV
fumecheng-7012	151	41	)	)	PUNCT
fumecheng-7012	151	42	through	through	ADP
fumecheng-7012	151	43	the	the	DET
fumecheng-7012	151	44	compatibility	compatibility	NOUN
fumecheng-7012	151	45	conditions	condition	NOUN
fumecheng-7012	151	46	:	:	PUNCT
fumecheng-7012	151	47	(	(	PUNCT
fumecheng-7012	151	48	)	)	PUNCT
fumecheng-7012	151	49	(	(	PUNCT
fumecheng-7012	151	50	)	)	PUNCT
fumecheng-7012	151	51	x	x	X
fumecheng-7012	151	52	xx	xx	NUM
fumecheng-7012	151	53	u	u	NOUN
fumecheng-7012	151	54	x	x	NOUN
fumecheng-7012	151	55	x	x	X
fumecheng-7012	151	56	x	x	SYM
fumecheng-7012	151	57			ADJ
fumecheng-7012	151	58	=	=	SYM
fumecheng-7012	151	59			ADJ
fumecheng-7012	151	60			PROPN
fumecheng-7012	151	61	(	(	PUNCT
fumecheng-7012	151	62	10	10	NUM
fumecheng-7012	151	63	)	)	SYM
fumecheng-7012	151	64	2	2	NUM
fumecheng-7012	151	65	1	1	NUM
fumecheng-7012	151	66	2	2	NUM
fumecheng-7012	151	67	(	(	PUNCT
fumecheng-7012	151	68	)	)	PUNCT
fumecheng-7012	151	69	(	(	PUNCT
fumecheng-7012	151	70	)	)	PUNCT
fumecheng-7012	151	71	(	(	PUNCT
fumecheng-7012	151	72	)	)	PUNCT
fumecheng-7012	152	1	xx	xx	X
fumecheng-7012	152	2	xx	xx	NUM
fumecheng-7012	153	1	u	u	NOUN
fumecheng-7012	153	2	x	x	NOUN
fumecheng-7012	153	3	x	x	PUNCT
fumecheng-7012	153	4	x	x	SYM
fumecheng-7012	153	5	x	x	SYM
fumecheng-7012	153	6			ADJ
fumecheng-7012	153	7			ADJ
fumecheng-7012	153	8	=	=	SYM
fumecheng-7012	153	9	=	=	SYM
fumecheng-7012	153	10			ADJ
fumecheng-7012	153	11			ADJ
fumecheng-7012	153	12			PROPN
fumecheng-7012	153	13			PROPN
fumecheng-7012	153	14	(	(	PUNCT
fumecheng-7012	153	15	11	11	NUM
fumecheng-7012	153	16	)	)	SYM
fumecheng-7012	153	17	2	2	NUM
fumecheng-7012	153	18	3	3	NUM
fumecheng-7012	153	19	2	2	NUM
fumecheng-7012	153	20	2	2	NUM
fumecheng-7012	153	21	3	3	NUM
fumecheng-7012	153	22	(	(	PUNCT
fumecheng-7012	153	23	)	)	PUNCT
fumecheng-7012	153	24	(	(	PUNCT
fumecheng-7012	153	25	)	)	PUNCT
fumecheng-7012	153	26	(	(	PUNCT
fumecheng-7012	153	27	)	)	PUNCT
fumecheng-7012	153	28	xx	xx	X
fumecheng-7012	154	1	xx	xx	NUM
fumecheng-7012	154	2	u	u	NOUN
fumecheng-7012	154	3	x	x	NOUN
fumecheng-7012	154	4	x	x	PUNCT
fumecheng-7012	154	5	x	x	SYM
fumecheng-7012	154	6	x	x	SYM
fumecheng-7012	154	7			ADJ
fumecheng-7012	154	8			ADJ
fumecheng-7012	154	9	=	=	SYM
fumecheng-7012	154	10	=	=	SYM
fumecheng-7012	154	11			ADJ
fumecheng-7012	154	12			ADJ
fumecheng-7012	154	13			PROPN
fumecheng-7012	154	14			PROPN
fumecheng-7012	154	15	(	(	PUNCT
fumecheng-7012	154	16	12	12	NUM
fumecheng-7012	154	17	)	)	PUNCT
fumecheng-7012	154	18	under	under	ADP
fumecheng-7012	154	19	the	the	DET
fumecheng-7012	154	20	hypothesis	hypothesis	NOUN
fumecheng-7012	154	21	of	of	ADP
fumecheng-7012	154	22	perfect	perfect	ADJ
fumecheng-7012	154	23	bonding	bonding	NOUN
fumecheng-7012	154	24	between	between	ADP
fumecheng-7012	154	25	the	the	DET
fumecheng-7012	154	26	bulk	bulk	NOUN
fumecheng-7012	154	27	of	of	ADP
fumecheng-7012	154	28	nanowire	nanowire	NOUN
fumecheng-7012	154	29	and	and	CCONJ
fumecheng-7012	154	30	the	the	DET
fumecheng-7012	154	31	surface	surface	NOUN
fumecheng-7012	154	32	surrounding	surround	VERB
fumecheng-7012	154	33	outer	outer	ADJ
fumecheng-7012	154	34	surface	surface	NOUN
fumecheng-7012	154	35	shell	shell	NOUN
fumecheng-7012	155	1	[	[	PUNCT
fumecheng-7012	155	2	42	42	NUM
fumecheng-7012	155	3	-	-	SYM
fumecheng-7012	155	4	43	43	NUM
fumecheng-7012	155	5	]	]	PUNCT
fumecheng-7012	155	6	,	,	PUNCT
fumecheng-7012	155	7	the	the	DET
fumecheng-7012	155	8	surface	surface	NOUN
fumecheng-7012	155	9	displacement	displacement	NOUN
fumecheng-7012	155	10	usur(x	usur(x	PROPN
fumecheng-7012	155	11	)	)	PUNCT
fumecheng-7012	155	12	is	be	AUX
fumecheng-7012	155	13	perfectly	perfectly	ADV
fumecheng-7012	155	14	compatible	compatible	ADJ
fumecheng-7012	155	15	with	with	ADP
fumecheng-7012	155	16	the	the	DET
fumecheng-7012	155	17	axial	axial	ADJ
fumecheng-7012	155	18	displacement	displacement	NOUN
fumecheng-7012	155	19	of	of	ADP
fumecheng-7012	155	20	the	the	DET
fumecheng-7012	155	21	nanowire	nanowire	NOUN
fumecheng-7012	155	22	(	(	PUNCT
fumecheng-7012	155	23	usur(x	usur(x	PROPN
fumecheng-7012	155	24	)	)	PUNCT
fumecheng-7012	155	25	=	=	SYM
fumecheng-7012	155	26	ux(x	ux(x	NOUN
fumecheng-7012	155	27	)	)	PUNCT
fumecheng-7012	155	28	)	)	PUNCT
fumecheng-7012	155	29	.	.	PUNCT
fumecheng-7012	156	1	therefore	therefore	ADV
fumecheng-7012	156	2	,	,	PUNCT
fumecheng-7012	156	3	the	the	DET
fumecheng-7012	156	4	compatibility	compatibility	NOUN
fumecheng-7012	156	5	relation	relation	NOUN
fumecheng-7012	156	6	of	of	ADP
fumecheng-7012	156	7	the	the	DET
fumecheng-7012	156	8	surface	surface	NOUN
fumecheng-7012	156	9	surroundings	surrounding	NOUN
fumecheng-7012	156	10	involving	involve	VERB
fumecheng-7012	156	11	surface	surface	NOUN
fumecheng-7012	156	12	strain	strain	NOUN
fumecheng-7012	156	13	εsur(x	εsur(x	NOUN
fumecheng-7012	156	14	)	)	PUNCT
fumecheng-7012	156	15	,	,	PUNCT
fumecheng-7012	156	16	surface	surface	NOUN
fumecheng-7012	156	17	displacement	displacement	NOUN
fumecheng-7012	156	18	usur(x	usur(x	PROPN
fumecheng-7012	156	19	)	)	PUNCT
fumecheng-7012	156	20	,	,	PUNCT
fumecheng-7012	156	21	and	and	CCONJ
fumecheng-7012	156	22	axial	axial	ADJ
fumecheng-7012	156	23	displacement	displacement	NOUN
fumecheng-7012	156	24	of	of	ADP
fumecheng-7012	156	25	the	the	DET
fumecheng-7012	156	26	nanowire	nanowire	NOUN
fumecheng-7012	156	27	ux(x	ux(x	ADV
fumecheng-7012	156	28	)	)	PUNCT
fumecheng-7012	156	29	is	be	AUX
fumecheng-7012	156	30	as	as	SCONJ
fumecheng-7012	156	31	follows	follow	VERB
fumecheng-7012	156	32	:	:	PUNCT
fumecheng-7012	156	33	(	(	PUNCT
fumecheng-7012	156	34	)	)	PUNCT
fumecheng-7012	156	35	(	(	PUNCT
fumecheng-7012	156	36	)	)	PUNCT
fumecheng-7012	156	37	(	(	PUNCT
fumecheng-7012	156	38	)	)	PUNCT
fumecheng-7012	156	39	sur	sur	PROPN
fumecheng-7012	156	40	x	x	PUNCT
fumecheng-7012	156	41	sur	sur	PROPN
fumecheng-7012	156	42	u	u	NOUN
fumecheng-7012	156	43	x	x	X
fumecheng-7012	156	44	u	u	NOUN
fumecheng-7012	156	45	x	x	NOUN
fumecheng-7012	156	46	x	x	X
fumecheng-7012	156	47	x	x	X
fumecheng-7012	156	48	x	x	SYM
fumecheng-7012	156	49			ADJ
fumecheng-7012	156	50			ADJ
fumecheng-7012	156	51	=	=	SYM
fumecheng-7012	156	52	=	=	SYM
fumecheng-7012	156	53			ADJ
fumecheng-7012	156	54			ADJ
fumecheng-7012	156	55			PROPN
fumecheng-7012	156	56	(	(	PUNCT
fumecheng-7012	156	57	13	13	NUM
fumecheng-7012	156	58	)	)	PUNCT
fumecheng-7012	156	59	like	like	ADP
fumecheng-7012	156	60	the	the	DET
fumecheng-7012	156	61	assumption	assumption	NOUN
fumecheng-7012	156	62	regarding	regard	VERB
fumecheng-7012	156	63	surface	surface	NOUN
fumecheng-7012	156	64	surroundings	surrounding	NOUN
fumecheng-7012	156	65	,	,	PUNCT
fumecheng-7012	156	66	the	the	DET
fumecheng-7012	156	67	interaction	interaction	NOUN
fumecheng-7012	156	68	between	between	ADP
fumecheng-7012	156	69	nanowire	nanowire	NOUN
fumecheng-7012	156	70	and	and	CCONJ
fumecheng-7012	156	71	substrate	substrate	NOUN
fumecheng-7012	156	72	is	be	AUX
fumecheng-7012	156	73	assumed	assume	VERB
fumecheng-7012	156	74	to	to	PART
fumecheng-7012	156	75	be	be	AUX
fumecheng-7012	156	76	perfect	perfect	ADJ
fumecheng-7012	156	77	based	base	VERB
fumecheng-7012	156	78	on	on	ADP
fumecheng-7012	156	79	the	the	DET
fumecheng-7012	156	80	kinematic	kinematic	ADJ
fumecheng-7012	156	81	assumption	assumption	NOUN
fumecheng-7012	156	82	of	of	ADP
fumecheng-7012	156	83	the	the	DET
fumecheng-7012	156	84	winkler	winkler	PROPN
fumecheng-7012	156	85	foundation	foundation	PROPN
fumecheng-7012	156	86	model	model	NOUN
fumecheng-7012	156	87	[	[	X
fumecheng-7012	156	88	55	55	NUM
fumecheng-7012	156	89	]	]	PUNCT
fumecheng-7012	156	90	.	.	PUNCT
fumecheng-7012	157	1	thus	thus	ADV
fumecheng-7012	157	2	,	,	PUNCT
fumecheng-7012	157	3	the	the	DET
fumecheng-7012	157	4	compatibility	compatibility	NOUN
fumecheng-7012	157	5	relation	relation	NOUN
fumecheng-7012	157	6	between	between	ADP
fumecheng-7012	157	7	the	the	DET
fumecheng-7012	157	8	substrate	substrate	NOUN
fumecheng-7012	157	9	deformation	deformation	NOUN
fumecheng-7012	157	10	δsub(x	δsub(x	NOUN
fumecheng-7012	157	11	)	)	PUNCT
fumecheng-7012	157	12	and	and	CCONJ
fumecheng-7012	157	13	the	the	DET
fumecheng-7012	157	14	nanowire	nanowire	ADJ
fumecheng-7012	157	15	axial	axial	ADJ
fumecheng-7012	157	16	displacement	displacement	NOUN
fumecheng-7012	157	17	ux(x	ux(x	ADV
fumecheng-7012	157	18	)	)	PUNCT
fumecheng-7012	157	19	is	be	AUX
fumecheng-7012	157	20	:	:	PUNCT
fumecheng-7012	157	21	(	(	PUNCT
fumecheng-7012	157	22	)	)	PUNCT
fumecheng-7012	157	23	(	(	PUNCT
fumecheng-7012	157	24	)	)	PUNCT
fumecheng-7012	157	25	sub	sub	NOUN
fumecheng-7012	157	26	xx	xx	NUM
fumecheng-7012	157	27	u	u	NOUN
fumecheng-7012	157	28	x	x	NOUN
fumecheng-7012	157	29	=	=	PUNCT
fumecheng-7012	157	30	(	(	PUNCT
fumecheng-7012	157	31	14	14	NUM
fumecheng-7012	157	32	)	)	PUNCT
fumecheng-7012	157	33	4.2	4.2	NUM
fumecheng-7012	157	34	.	.	PUNCT
fumecheng-7012	158	1	differential	differential	ADJ
fumecheng-7012	158	2	equation	equation	NOUN
fumecheng-7012	158	3	and	and	CCONJ
fumecheng-7012	158	4	its	its	PRON
fumecheng-7012	158	5	boundary	boundary	ADJ
fumecheng-7012	158	6	conditions	condition	NOUN
fumecheng-7012	158	7	:	:	PUNCT
fumecheng-7012	158	8	the	the	DET
fumecheng-7012	158	9	principle	principle	NOUN
fumecheng-7012	158	10	of	of	ADP
fumecheng-7012	158	11	virtual	virtual	ADJ
fumecheng-7012	158	12	displacement	displacement	NOUN
fumecheng-7012	158	13	in	in	ADP
fumecheng-7012	158	14	the	the	DET
fumecheng-7012	158	15	displacement	displacement	NOUN
fumecheng-7012	158	16	-	-	PUNCT
fumecheng-7012	158	17	based	base	VERB
fumecheng-7012	158	18	formulation	formulation	NOUN
fumecheng-7012	158	19	,	,	PUNCT
fumecheng-7012	158	20	the	the	DET
fumecheng-7012	158	21	principle	principle	NOUN
fumecheng-7012	158	22	of	of	ADP
fumecheng-7012	158	23	virtual	virtual	ADJ
fumecheng-7012	158	24	displacement	displacement	NOUN
fumecheng-7012	158	25	is	be	AUX
fumecheng-7012	158	26	employed	employ	VERB
fumecheng-7012	158	27	to	to	PART
fumecheng-7012	158	28	establish	establish	VERB
fumecheng-7012	158	29	the	the	DET
fumecheng-7012	158	30	governing	govern	VERB
fumecheng-7012	158	31	differential	differential	ADJ
fumecheng-7012	158	32	equilibrium	equilibrium	NOUN
fumecheng-7012	158	33	equation	equation	NOUN
fumecheng-7012	158	34	and	and	CCONJ
fumecheng-7012	158	35	its	its	PRON
fumecheng-7012	158	36	boundary	boundary	ADJ
fumecheng-7012	158	37	conditions	condition	NOUN
fumecheng-7012	158	38	for	for	ADP
fumecheng-7012	158	39	the	the	DET
fumecheng-7012	158	40	nanowire	nanowire	ADJ
fumecheng-7012	158	41	element	element	NOUN
fumecheng-7012	158	42	embedded	embed	VERB
fumecheng-7012	158	43	in	in	ADP
fumecheng-7012	158	44	the	the	DET
fumecheng-7012	158	45	substrate	substrate	NOUN
fumecheng-7012	158	46	,	,	PUNCT
fumecheng-7012	158	47	as	as	SCONJ
fumecheng-7012	158	48	shown	show	VERB
fumecheng-7012	158	49	in	in	ADP
fumecheng-7012	158	50	fig	fig	NOUN
fumecheng-7012	158	51	.	.	PUNCT
fumecheng-7012	159	1	2	2	X
fumecheng-7012	159	2	.	.	X
fumecheng-7012	159	3	the	the	DET
fumecheng-7012	159	4	features	feature	NOUN
fumecheng-7012	159	5	,	,	PUNCT
fumecheng-7012	159	6	such	such	ADJ
fumecheng-7012	159	7	as	as	ADP
fumecheng-7012	159	8	the	the	DET
fumecheng-7012	159	9	nanowire	nanowire	ADJ
fumecheng-7012	159	10	-	-	PUNCT
fumecheng-7012	159	11	substrate	substrate	NOUN
fumecheng-7012	159	12	interaction	interaction	NOUN
fumecheng-7012	159	13	,	,	PUNCT
fumecheng-7012	159	14	the	the	DET
fumecheng-7012	159	15	nonlocality	nonlocality	NOUN
fumecheng-7012	159	16	,	,	PUNCT
fumecheng-7012	159	17	and	and	CCONJ
fumecheng-7012	159	18	the	the	DET
fumecheng-7012	159	19	surface	surface	NOUN
fumecheng-7012	159	20	energy	energy	NOUN
fumecheng-7012	159	21	effect	effect	NOUN
fumecheng-7012	159	22	,	,	PUNCT
fumecheng-7012	159	23	are	be	AUX
fumecheng-7012	159	24	incorporated	incorporate	VERB
fumecheng-7012	159	25	to	to	ADP
fumecheng-7012	159	26	the	the	DET
fumecheng-7012	159	27	model	model	NOUN
fumecheng-7012	159	28	in	in	ADP
fumecheng-7012	159	29	this	this	DET
fumecheng-7012	159	30	procedure	procedure	NOUN
fumecheng-7012	159	31	.	.	PUNCT
fumecheng-7012	160	1	664	664	NUM
fumecheng-7012	160	2	w.	w.	PROPN
fumecheng-7012	160	3	sae	sae	PROPN
fumecheng-7012	160	4	-	-	PROPN
fumecheng-7012	160	5	long	long	ADV
fumecheng-7012	160	6	,	,	PUNCT
fumecheng-7012	160	7	s.	s.	PROPN
fumecheng-7012	160	8	limkatanyu	limkatanyu	PROPN
fumecheng-7012	160	9	,	,	PUNCT
fumecheng-7012	160	10	p.	p.	NOUN
fumecheng-7012	160	11	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	160	12	,	,	PUNCT
fumecheng-7012	160	13	et	et	PROPN
fumecheng-7012	160	14	al	al	PROPN
fumecheng-7012	160	15	.	.	PROPN
fumecheng-7012	160	16	fig	fig	PROPN
fumecheng-7012	160	17	.	.	PUNCT
fumecheng-7012	161	1	2	2	NUM
fumecheng-7012	161	2	ideal	ideal	NOUN
fumecheng-7012	161	3	nanobar	nanobar	NOUN
fumecheng-7012	161	4	element	element	NOUN
fumecheng-7012	161	5	embedded	embed	VERB
fumecheng-7012	161	6	in	in	ADP
fumecheng-7012	161	7	substrate	substrate	NOUN
fumecheng-7012	161	8	a	a	DET
fumecheng-7012	161	9	general	general	ADJ
fumecheng-7012	161	10	form	form	NOUN
fumecheng-7012	161	11	of	of	ADP
fumecheng-7012	161	12	the	the	DET
fumecheng-7012	161	13	total	total	ADJ
fumecheng-7012	161	14	virtual	virtual	ADJ
fumecheng-7012	161	15	work	work	NOUN
fumecheng-7012	161	16	expression	expression	NOUN
fumecheng-7012	161	17	is	be	AUX
fumecheng-7012	161	18	:	:	PUNCT
fumecheng-7012	161	19	int	int	PROPN
fumecheng-7012	161	20	ext	ext	NOUN
fumecheng-7012	161	21	0w	0w	PROPN
fumecheng-7012	161	22	w	w	PROPN
fumecheng-7012	161	23	w	w	PROPN
fumecheng-7012	161	24			NUM
fumecheng-7012	161	25	=	=	NOUN
fumecheng-7012	161	26	+	+	PUNCT
fumecheng-7012	162	1	=	=	SYM
fumecheng-7012	162	2	(	(	PUNCT
fumecheng-7012	162	3	15	15	NUM
fumecheng-7012	162	4	)	)	PUNCT
fumecheng-7012	162	5	where	where	SCONJ
fumecheng-7012	162	6	δw	δw	ADV
fumecheng-7012	162	7	is	be	AUX
fumecheng-7012	162	8	the	the	DET
fumecheng-7012	162	9	total	total	ADJ
fumecheng-7012	162	10	virtual	virtual	ADJ
fumecheng-7012	162	11	work	work	NOUN
fumecheng-7012	162	12	of	of	ADP
fumecheng-7012	162	13	the	the	DET
fumecheng-7012	162	14	bar	bar	NOUN
fumecheng-7012	162	15	-	-	PUNCT
fumecheng-7012	162	16	substrate	substrate	NOUN
fumecheng-7012	162	17	element	element	NOUN
fumecheng-7012	162	18	system	system	NOUN
fumecheng-7012	162	19	;	;	PUNCT
fumecheng-7012	162	20	δwint	δwint	NOUN
fumecheng-7012	162	21	is	be	AUX
fumecheng-7012	162	22	the	the	DET
fumecheng-7012	162	23	internal	internal	ADJ
fumecheng-7012	162	24	virtual	virtual	ADJ
fumecheng-7012	162	25	work	work	NOUN
fumecheng-7012	162	26	;	;	PUNCT
fumecheng-7012	162	27	and	and	CCONJ
fumecheng-7012	162	28	δwext	δwext	NOUN
fumecheng-7012	162	29	is	be	AUX
fumecheng-7012	162	30	the	the	DET
fumecheng-7012	162	31	external	external	ADJ
fumecheng-7012	162	32	virtual	virtual	ADJ
fumecheng-7012	162	33	work	work	NOUN
fumecheng-7012	162	34	.	.	PUNCT
fumecheng-7012	163	1	the	the	DET
fumecheng-7012	163	2	internal	internal	ADJ
fumecheng-7012	163	3	virtual	virtual	ADJ
fumecheng-7012	163	4	work	work	NOUN
fumecheng-7012	163	5	δwint	δwint	NOUN
fumecheng-7012	163	6	and	and	CCONJ
fumecheng-7012	163	7	the	the	DET
fumecheng-7012	163	8	external	external	ADJ
fumecheng-7012	163	9	virtual	virtual	ADJ
fumecheng-7012	163	10	work	work	NOUN
fumecheng-7012	163	11	δwext	δwext	NOUN
fumecheng-7012	163	12	of	of	ADP
fumecheng-7012	163	13	eq	eq	PROPN
fumecheng-7012	163	14	.	.	PUNCT
fumecheng-7012	164	1	(	(	PUNCT
fumecheng-7012	164	2	15	15	NUM
fumecheng-7012	164	3	)	)	PUNCT
fumecheng-7012	164	4	can	can	AUX
fumecheng-7012	164	5	be	be	AUX
fumecheng-7012	164	6	expressed	express	VERB
fumecheng-7012	164	7	as	as	ADP
fumecheng-7012	164	8	:	:	PUNCT
fumecheng-7012	164	9	int	int	NOUN
fumecheng-7012	164	10	0	0	NUM
fumecheng-7012	164	11	nanowire	nanowire	ADJ
fumecheng-7012	164	12	term	term	NOUN
fumecheng-7012	164	13	surface	surface	NOUN
fumecheng-7012	164	14	energy	energy	NOUN
fumecheng-7012	164	15	term	term	NOUN
fumecheng-7012	164	16	substrate	substrate	NOUN
fumecheng-7012	164	17	medium	medium	ADJ
fumecheng-7012	164	18	term	term	NOUN
fumecheng-7012	164	19	(	(	PUNCT
fumecheng-7012	164	20	)	)	PUNCT
fumecheng-7012	164	21	(	(	PUNCT
fumecheng-7012	164	22	)	)	PUNCT
fumecheng-7012	164	23	(	(	PUNCT
fumecheng-7012	164	24	(	(	PUNCT
fumecheng-7012	164	25	)	)	PUNCT
fumecheng-7012	164	26	)	)	PUNCT
fumecheng-7012	164	27	(	(	PUNCT
fumecheng-7012	164	28	)	)	PUNCT
fumecheng-7012	164	29	(	(	PUNCT
fumecheng-7012	164	30	)	)	PUNCT
fumecheng-7012	164	31	(	(	PUNCT
fumecheng-7012	164	32	)	)	PUNCT
fumecheng-7012	164	33	xx	xx	NUM
fumecheng-7012	165	1	xx	xx	NUM
fumecheng-7012	165	2	xx	xx	NUM
fumecheng-7012	166	1	sur	sur	PROPN
fumecheng-7012	166	2	l	l	PROPN
fumecheng-7012	166	3	a	a	DET
fumecheng-7012	166	4	l	l	NOUN
fumecheng-7012	166	5	sub	sub	NOUN
fumecheng-7012	166	6	sub	sub	NOUN
fumecheng-7012	166	7	l	l	NOUN
fumecheng-7012	166	8	w	w	NOUN
fumecheng-7012	166	9	x	x	X
fumecheng-7012	166	10	da	da	VERB
fumecheng-7012	166	11	x	x	X
fumecheng-7012	166	12	dx	dx	PROPN
fumecheng-7012	167	1	x	x	SYM
fumecheng-7012	167	2	d	d	NOUN
fumecheng-7012	167	3	x	x	X
fumecheng-7012	167	4	dx	dx	PROPN
fumecheng-7012	167	5	d	d	X
fumecheng-7012	167	6	x	x	X
fumecheng-7012	167	7	x	x	SYM
fumecheng-7012	167	8	dx	dx	PROPN
fumecheng-7012	167	9			VERB
fumecheng-7012	167	10			NOUN
fumecheng-7012	167	11			NOUN
fumecheng-7012	167	12			NOUN
fumecheng-7012	167	13			NOUN
fumecheng-7012	167	14	=	=	PUNCT
fumecheng-7012	168	1	+	+	CCONJ
fumecheng-7012	168	2	−	−	PROPN
fumecheng-7012	168	3			PROPN
fumecheng-7012	168	4			PROPN
fumecheng-7012	168	5			PROPN
fumecheng-7012	168	6			PROPN
fumecheng-7012	168	7			PROPN
fumecheng-7012	168	8			PROPN
fumecheng-7012	168	9			PROPN
fumecheng-7012	168	10			NOUN
fumecheng-7012	168	11	+	+	CCONJ
fumecheng-7012	168	12			NOUN
fumecheng-7012	168	13			X
fumecheng-7012	168	14			PROPN
fumecheng-7012	168	15			NOUN
fumecheng-7012	168	16			PUNCT
fumecheng-7012	169	1			X
fumecheng-7012	169	2			NUM
fumecheng-7012	169	3			PROPN
fumecheng-7012	169	4			NOUN
fumecheng-7012	169	5			NOUN
fumecheng-7012	169	6			NOUN
fumecheng-7012	169	7			PROPN
fumecheng-7012	169	8			NUM
fumecheng-7012	169	9	(	(	PUNCT
fumecheng-7012	169	10	16	16	NUM
fumecheng-7012	169	11	)	)	PUNCT
fumecheng-7012	169	12	ext	ext	NOUN
fumecheng-7012	169	13	end	end	NOUN
fumecheng-7012	169	14	boundary	boundary	ADJ
fumecheng-7012	169	15	terms	term	NOUN
fumecheng-7012	169	16	external	external	ADJ
fumecheng-7012	169	17	load	load	NOUN
fumecheng-7012	169	18	term	term	NOUN
fumecheng-7012	169	19	(	(	PUNCT
fumecheng-7012	169	20	)	)	PUNCT
fumecheng-7012	169	21	(	(	PUNCT
fumecheng-7012	169	22	)	)	PUNCT
fumecheng-7012	169	23	t	t	NOUN
fumecheng-7012	169	24	x	x	PUNCT
fumecheng-7012	170	1	x	x	PUNCT
fumecheng-7012	170	2	l	l	NOUN
fumecheng-7012	170	3	w	w	NOUN
fumecheng-7012	170	4	p	p	X
fumecheng-7012	170	5	x	x	X
fumecheng-7012	170	6	u	u	NOUN
fumecheng-7012	170	7	x	x	NOUN
fumecheng-7012	170	8	dx=	dx=	PROPN
fumecheng-7012	170	9	−	−	PROPN
fumecheng-7012	170	10	−	−	NOUN
fumecheng-7012	170	11	u	u	NOUN
fumecheng-7012	170	12	p	p	PROPN
fumecheng-7012	170	13			PROPN
fumecheng-7012	170	14			NUM
fumecheng-7012	170	15	(	(	PUNCT
fumecheng-7012	170	16	17	17	NUM
fumecheng-7012	170	17	)	)	PUNCT
fumecheng-7012	170	18	where	where	SCONJ
fumecheng-7012	170	19	dsub(x	dsub(x	ADJ
fumecheng-7012	170	20	)	)	PUNCT
fumecheng-7012	170	21	is	be	AUX
fumecheng-7012	170	22	the	the	DET
fumecheng-7012	170	23	substrate	substrate	NOUN
fumecheng-7012	170	24	interactive	interactive	ADJ
fumecheng-7012	170	25	force	force	NOUN
fumecheng-7012	170	26	and	and	CCONJ
fumecheng-7012	170	27	the	the	DET
fumecheng-7012	170	28	conjugate	conjugate	ADJ
fumecheng-7012	170	29	-	-	PUNCT
fumecheng-7012	170	30	work	work	NOUN
fumecheng-7012	170	31	pair	pair	NOUN
fumecheng-7012	170	32	of	of	ADP
fumecheng-7012	170	33	the	the	DET
fumecheng-7012	170	34	substrate	substrate	NOUN
fumecheng-7012	170	35	deformation	deformation	NOUN
fumecheng-7012	170	36	δsub(x	δsub(x	PROPN
fumecheng-7012	170	37	)	)	PUNCT
fumecheng-7012	170	38	;	;	PUNCT
fumecheng-7012	170	39	px(x	px(x	X
fumecheng-7012	170	40	)	)	PUNCT
fumecheng-7012	171	1	is	be	AUX
fumecheng-7012	171	2	the	the	DET
fumecheng-7012	171	3	axial	axial	ADJ
fumecheng-7012	171	4	distributed	distribute	VERB
fumecheng-7012	171	5	load	load	NOUN
fumecheng-7012	171	6	;	;	PUNCT
fumecheng-7012	171	7	u	u	NOUN
fumecheng-7012	171	8	=	=	PUNCT
fumecheng-7012	171	9	{	{	PUNCT
fumecheng-7012	171	10	u1	u1	NOUN
fumecheng-7012	171	11	u2	u2	PROPN
fumecheng-7012	171	12	u3	u3	PROPN
fumecheng-7012	171	13	u4	u4	PROPN
fumecheng-7012	171	14	u5	u5	PROPN
fumecheng-7012	171	15	u6}t	u6}t	PROPN
fumecheng-7012	171	16	is	be	AUX
fumecheng-7012	171	17	the	the	DET
fumecheng-7012	171	18	displacement	displacement	ADJ
fumecheng-7012	171	19	vector	vector	NOUN
fumecheng-7012	171	20	that	that	PRON
fumecheng-7012	171	21	contains	contain	VERB
fumecheng-7012	171	22	the	the	DET
fumecheng-7012	171	23	end	end	NOUN
fumecheng-7012	171	24	displacements	displacement	NOUN
fumecheng-7012	171	25	of	of	ADP
fumecheng-7012	171	26	the	the	DET
fumecheng-7012	171	27	nanowire	nanowire	ADJ
fumecheng-7012	171	28	element	element	NOUN
fumecheng-7012	171	29	;	;	PUNCT
fumecheng-7012	171	30	and	and	CCONJ
fumecheng-7012	171	31	p	p	NOUN
fumecheng-7012	171	32	=	=	PUNCT
fumecheng-7012	171	33	{	{	PUNCT
fumecheng-7012	171	34	p1	p1	NOUN
fumecheng-7012	171	35	p2	p2	PROPN
fumecheng-7012	171	36	p3	p3	PROPN
fumecheng-7012	171	37	p4	p4	ADJ
fumecheng-7012	171	38	p5	p5	ADJ
fumecheng-7012	171	39	p6}t	p6}t	NOUN
fumecheng-7012	171	40	is	be	AUX
fumecheng-7012	171	41	the	the	DET
fumecheng-7012	171	42	force	force	NOUN
fumecheng-7012	171	43	vector	vector	NOUN
fumecheng-7012	171	44	that	that	PRON
fumecheng-7012	171	45	contains	contain	VERB
fumecheng-7012	171	46	the	the	DET
fumecheng-7012	171	47	end	end	NOUN
fumecheng-7012	171	48	forces	force	NOUN
fumecheng-7012	171	49	of	of	ADP
fumecheng-7012	171	50	the	the	DET
fumecheng-7012	171	51	nanowire	nanowire	ADJ
fumecheng-7012	171	52	element	element	NOUN
fumecheng-7012	171	53	.	.	PUNCT
fumecheng-7012	172	1	considering	consider	VERB
fumecheng-7012	172	2	the	the	DET
fumecheng-7012	172	3	variational	variational	ADJ
fumecheng-7012	172	4	form	form	NOUN
fumecheng-7012	172	5	of	of	ADP
fumecheng-7012	172	6	eqs	eqs	PROPN
fumecheng-7012	172	7	.	.	PUNCT
fumecheng-7012	173	1	(	(	PUNCT
fumecheng-7012	173	2	7	7	NUM
fumecheng-7012	173	3	)	)	PUNCT
fumecheng-7012	173	4	and	and	CCONJ
fumecheng-7012	173	5	(	(	PUNCT
fumecheng-7012	173	6	8)	8)	NUM
fumecheng-7012	173	7	,	,	PUNCT
fumecheng-7012	173	8	the	the	DET
fumecheng-7012	173	9	internal	internal	ADJ
fumecheng-7012	173	10	virtual	virtual	ADJ
fumecheng-7012	173	11	works	work	NOUN
fumecheng-7012	173	12	in	in	ADP
fumecheng-7012	173	13	eq	eq	ADP
fumecheng-7012	173	14	.	.	PUNCT
fumecheng-7012	174	1	(	(	PUNCT
fumecheng-7012	174	2	16	16	NUM
fumecheng-7012	174	3	)	)	PUNCT
fumecheng-7012	174	4	becomes	become	VERB
fumecheng-7012	174	5	:	:	PUNCT
fumecheng-7012	174	6	local	local	ADJ
fumecheng-7012	174	7	term	term	NOUN
fumecheng-7012	174	8	second	second	ADJ
fumecheng-7012	174	9	-	-	PUNCT
fumecheng-7012	174	10	order	order	NOUN
fumecheng-7012	174	11	strain	strain	NOUN
fumecheng-7012	174	12	gradient	gradient	ADJ
fumecheng-7012	174	13	term	term	NOUN
fumecheng-7012	174	14	forth	forth	ADV
fumecheng-7012	174	15	-	-	PUNCT
fumecheng-7012	174	16	order	order	NOUN
fumecheng-7012	174	17	strain	strain	NOUN
fumecheng-7012	174	18	gradient	gradient	ADJ
fumecheng-7012	174	19	term	term	NOUN
fumecheng-7012	174	20	int	int	NOUN
fumecheng-7012	174	21	0	0	NUM
fumecheng-7012	174	22	1	1	NUM
fumecheng-7012	174	23	1	1	NUM
fumecheng-7012	174	24	2	2	NUM
fumecheng-7012	174	25	2	2	NUM
fumecheng-7012	174	26	nanowire	nanowire	ADJ
fumecheng-7012	174	27	terms	term	NOUN
fumecheng-7012	174	28	(	(	PUNCT
fumecheng-7012	174	29	)	)	PUNCT
fumecheng-7012	174	30	(	(	PUNCT
fumecheng-7012	174	31	)	)	PUNCT
fumecheng-7012	174	32	(	(	PUNCT
fumecheng-7012	174	33	)	)	PUNCT
fumecheng-7012	174	34	(	(	PUNCT
fumecheng-7012	174	35	)	)	PUNCT
fumecheng-7012	174	36	(	(	PUNCT
fumecheng-7012	174	37	)	)	PUNCT
fumecheng-7012	174	38	(	(	PUNCT
fumecheng-7012	174	39	)	)	PUNCT
fumecheng-7012	174	40	(	(	PUNCT
fumecheng-7012	174	41	)	)	PUNCT
fumecheng-7012	174	42	xx	xx	NUM
fumecheng-7012	174	43	l	l	NOUN
fumecheng-7012	174	44	l	l	X
fumecheng-7012	174	45	l	l	X
fumecheng-7012	174	46	sur	sur	PROPN
fumecheng-7012	174	47	sur	sur	PROPN
fumecheng-7012	174	48	w	w	PROPN
fumecheng-7012	174	49	n	n	PROPN
fumecheng-7012	174	50	x	x	SYM
fumecheng-7012	174	51	x	x	X
fumecheng-7012	174	52	dx	dx	PROPN
fumecheng-7012	174	53	n	n	INTJ
fumecheng-7012	174	54	x	x	PUNCT
fumecheng-7012	174	55	x	x	X
fumecheng-7012	174	56	dx	dx	PROPN
fumecheng-7012	174	57	n	n	INTJ
fumecheng-7012	174	58	x	x	PUNCT
fumecheng-7012	174	59	x	x	X
fumecheng-7012	174	60	dx	dx	PROPN
fumecheng-7012	174	61	n	n	NOUN
fumecheng-7012	174	62	x	x	PUNCT
fumecheng-7012	174	63	=	=	PUNCT
fumecheng-7012	175	1	+	+	PUNCT
fumecheng-7012	175	2	+	+	PUNCT
fumecheng-7012	176	1	+	+	NUM
fumecheng-7012	176	2			NOUN
fumecheng-7012	176	3			X
fumecheng-7012	176	4			PROPN
fumecheng-7012	176	5			PROPN
fumecheng-7012	176	6			PROPN
fumecheng-7012	176	7			PROPN
fumecheng-7012	176	8			PROPN
fumecheng-7012	176	9	surface	surface	PROPN
fumecheng-7012	176	10	energy	energy	NOUN
fumecheng-7012	176	11	term	term	NOUN
fumecheng-7012	176	12	substrate	substrate	NOUN
fumecheng-7012	176	13	medium	medium	ADJ
fumecheng-7012	176	14	term	term	NOUN
fumecheng-7012	176	15	(	(	PUNCT
fumecheng-7012	176	16	)	)	PUNCT
fumecheng-7012	176	17	(	(	PUNCT
fumecheng-7012	176	18	)	)	PUNCT
fumecheng-7012	176	19	(	(	PUNCT
fumecheng-7012	176	20	)	)	PUNCT
fumecheng-7012	176	21	sub	sub	NOUN
fumecheng-7012	176	22	sub	sub	NOUN
fumecheng-7012	176	23	l	l	NOUN
fumecheng-7012	176	24	l	l	NOUN
fumecheng-7012	176	25	x	x	X
fumecheng-7012	176	26	dx	dx	PROPN
fumecheng-7012	177	1	d	d	X
fumecheng-7012	177	2	x	x	X
fumecheng-7012	177	3	x	x	X
fumecheng-7012	177	4	dx+	dx+	NOUN
fumecheng-7012	177	5			PROPN
fumecheng-7012	177	6			PUNCT
fumecheng-7012	178	1			NUM
fumecheng-7012	178	2	(	(	PUNCT
fumecheng-7012	178	3	18	18	NUM
fumecheng-7012	178	4	)	)	PUNCT
fumecheng-7012	178	5	where	where	SCONJ
fumecheng-7012	178	6	0	0	NUM
fumecheng-7012	178	7	(	(	PUNCT
fumecheng-7012	178	8	)	)	PUNCT
fumecheng-7012	178	9	(	(	PUNCT
fumecheng-7012	178	10	(	(	PUNCT
fumecheng-7012	178	11	)	)	PUNCT
fumecheng-7012	178	12	)	)	PUNCT
fumecheng-7012	178	13	sur	sur	PROPN
fumecheng-7012	178	14	xxn	xxn	PROPN
fumecheng-7012	178	15	x	x	PUNCT
fumecheng-7012	178	16	x	x	PUNCT
fumecheng-7012	178	17	d	d	X
fumecheng-7012	178	18			VERB
fumecheng-7012	178	19	=	=	SYM
fumecheng-7012	178	20	−	−	NOUN
fumecheng-7012	178	21			NOUN
fumecheng-7012	178	22			NOUN
fumecheng-7012	178	23			NOUN
fumecheng-7012	178	24	represents	represent	VERB
fumecheng-7012	178	25	the	the	DET
fumecheng-7012	178	26	equivalent	equivalent	ADJ
fumecheng-7012	178	27	axial	axial	ADJ
fumecheng-7012	178	28	force	force	NOUN
fumecheng-7012	178	29	from	from	ADP
fumecheng-7012	178	30	the	the	DET
fumecheng-7012	178	31	surface	surface	NOUN
fumecheng-7012	178	32	stresses	stress	NOUN
fumecheng-7012	178	33	.	.	PUNCT
fumecheng-7012	179	1	by	by	ADP
fumecheng-7012	179	2	substituting	substitute	VERB
fumecheng-7012	179	3	the	the	DET
fumecheng-7012	179	4	compatibility	compatibility	NOUN
fumecheng-7012	179	5	equations	equation	NOUN
fumecheng-7012	179	6	of	of	ADP
fumecheng-7012	179	7	eqs	eqs	PROPN
fumecheng-7012	179	8	.	.	PUNCT
fumecheng-7012	180	1	(	(	PUNCT
fumecheng-7012	180	2	10	10	NUM
fumecheng-7012	180	3	)	)	PUNCT
fumecheng-7012	180	4	to	to	ADP
fumecheng-7012	180	5	(	(	PUNCT
fumecheng-7012	180	6	14	14	NUM
fumecheng-7012	180	7	)	)	PUNCT
fumecheng-7012	180	8	into	into	ADP
fumecheng-7012	180	9	the	the	DET
fumecheng-7012	180	10	internal	internal	ADJ
fumecheng-7012	180	11	fourth	fourth	ADJ
fumecheng-7012	180	12	-	-	PUNCT
fumecheng-7012	180	13	order	order	NOUN
fumecheng-7012	180	14	strain	strain	NOUN
fumecheng-7012	180	15	gradient	gradient	ADJ
fumecheng-7012	180	16	bar	bar	NOUN
fumecheng-7012	180	17	-	-	PUNCT
fumecheng-7012	180	18	substrate	substrate	NOUN
fumecheng-7012	180	19	model	model	NOUN
fumecheng-7012	180	20	with	with	ADP
fumecheng-7012	180	21	nonlocal	nonlocal	ADJ
fumecheng-7012	180	22	and	and	CCONJ
fumecheng-7012	180	23	surface	surface	NOUN
fumecheng-7012	180	24	effects	effect	NOUN
fumecheng-7012	180	25	...	...	PUNCT
fumecheng-7012	180	26	665	665	NUM
fumecheng-7012	180	27	virtual	virtual	ADJ
fumecheng-7012	180	28	work	work	NOUN
fumecheng-7012	180	29	δwint	δwint	NOUN
fumecheng-7012	180	30	of	of	ADP
fumecheng-7012	180	31	eq	eq	PROPN
fumecheng-7012	180	32	.	.	PUNCT
fumecheng-7012	181	1	(	(	PUNCT
fumecheng-7012	181	2	18	18	NUM
fumecheng-7012	181	3	)	)	PUNCT
fumecheng-7012	181	4	and	and	CCONJ
fumecheng-7012	181	5	then	then	ADV
fumecheng-7012	181	6	combining	combine	VERB
fumecheng-7012	181	7	with	with	ADP
fumecheng-7012	181	8	the	the	DET
fumecheng-7012	181	9	external	external	ADJ
fumecheng-7012	181	10	virtual	virtual	ADJ
fumecheng-7012	181	11	work	work	NOUN
fumecheng-7012	181	12	δwext	δwext	NOUN
fumecheng-7012	181	13	of	of	ADP
fumecheng-7012	181	14	eq	eq	PROPN
fumecheng-7012	181	15	.	.	PUNCT
fumecheng-7012	182	1	(	(	PUNCT
fumecheng-7012	182	2	17	17	NUM
fumecheng-7012	182	3	)	)	PUNCT
fumecheng-7012	182	4	,	,	PUNCT
fumecheng-7012	182	5	the	the	DET
fumecheng-7012	182	6	total	total	ADJ
fumecheng-7012	182	7	virtual	virtual	ADJ
fumecheng-7012	182	8	work	work	NOUN
fumecheng-7012	182	9	of	of	ADP
fumecheng-7012	182	10	nanowire	nanowire	ADJ
fumecheng-7012	182	11	-	-	PUNCT
fumecheng-7012	182	12	substrate	substrate	NOUN
fumecheng-7012	182	13	element	element	NOUN
fumecheng-7012	182	14	system	system	NOUN
fumecheng-7012	182	15	of	of	ADP
fumecheng-7012	182	16	eq	eq	PROPN
fumecheng-7012	182	17	.	.	PUNCT
fumecheng-7012	183	1	(	(	PUNCT
fumecheng-7012	183	2	15	15	NUM
fumecheng-7012	183	3	)	)	PUNCT
fumecheng-7012	183	4	is	be	AUX
fumecheng-7012	183	5	:	:	PUNCT
fumecheng-7012	183	6	2	2	NUM
fumecheng-7012	183	7	3	3	NUM
fumecheng-7012	183	8	0	0	NUM
fumecheng-7012	183	9	1	1	NUM
fumecheng-7012	183	10	22	22	NUM
fumecheng-7012	183	11	3	3	NUM
fumecheng-7012	183	12	(	(	PUNCT
fumecheng-7012	183	13	)	)	PUNCT
fumecheng-7012	183	14	(	(	PUNCT
fumecheng-7012	183	15	)	)	PUNCT
fumecheng-7012	183	16	(	(	PUNCT
fumecheng-7012	183	17	)	)	PUNCT
fumecheng-7012	183	18	(	(	PUNCT
fumecheng-7012	183	19	)	)	PUNCT
fumecheng-7012	183	20	(	(	PUNCT
fumecheng-7012	183	21	)	)	PUNCT
fumecheng-7012	183	22	(	(	PUNCT
fumecheng-7012	183	23	)	)	PUNCT
fumecheng-7012	183	24	(	(	PUNCT
fumecheng-7012	183	25	)	)	PUNCT
fumecheng-7012	183	26	(	(	PUNCT
fumecheng-7012	183	27	)	)	PUNCT
fumecheng-7012	183	28	(	(	PUNCT
fumecheng-7012	183	29	)	)	PUNCT
fumecheng-7012	183	30	(	(	PUNCT
fumecheng-7012	183	31	)	)	PUNCT
fumecheng-7012	183	32	(	(	PUNCT
fumecheng-7012	183	33	)	)	PUNCT
fumecheng-7012	183	34	(	(	PUNCT
fumecheng-7012	183	35	)	)	PUNCT
fumecheng-7012	183	36	0	0	NUM
fumecheng-7012	184	1	x	x	SYM
fumecheng-7012	184	2	x	x	PUNCT
fumecheng-7012	184	3	x	x	PUNCT
fumecheng-7012	184	4	l	l	NOUN
fumecheng-7012	184	5	l	l	X
fumecheng-7012	184	6	l	l	NOUN
fumecheng-7012	184	7	x	x	X
fumecheng-7012	184	8	sur	sur	NOUN
fumecheng-7012	184	9	sub	sub	NOUN
fumecheng-7012	184	10	x	x	PUNCT
fumecheng-7012	184	11	x	x	PUNCT
fumecheng-7012	184	12	x	x	PUNCT
fumecheng-7012	184	13	l	l	NOUN
fumecheng-7012	184	14	l	l	X
fumecheng-7012	184	15	l	l	NOUN
fumecheng-7012	184	16	t	t	X
fumecheng-7012	184	17	u	u	X
fumecheng-7012	184	18	x	x	X
fumecheng-7012	184	19	u	u	NOUN
fumecheng-7012	184	20	x	x	X
fumecheng-7012	184	21	u	u	NOUN
fumecheng-7012	184	22	x	x	PROPN
fumecheng-7012	184	23	w	w	VERB
fumecheng-7012	184	24	n	n	PROPN
fumecheng-7012	184	25	x	x	SYM
fumecheng-7012	184	26	dx	dx	PROPN
fumecheng-7012	184	27	n	n	PROPN
fumecheng-7012	184	28	x	x	SYM
fumecheng-7012	184	29	dx	dx	PROPN
fumecheng-7012	184	30	n	n	PROPN
fumecheng-7012	184	31	x	x	X
fumecheng-7012	184	32	dx	dx	PROPN
fumecheng-7012	184	33	x	x	PUNCT
fumecheng-7012	184	34	x	x	PUNCT
fumecheng-7012	184	35	x	x	PUNCT
fumecheng-7012	184	36	u	u	NOUN
fumecheng-7012	184	37	x	x	PROPN
fumecheng-7012	184	38	n	n	PROPN
fumecheng-7012	184	39	x	x	X
fumecheng-7012	184	40	dx	dx	PROPN
fumecheng-7012	184	41	d	d	X
fumecheng-7012	184	42	x	x	SYM
fumecheng-7012	184	43	u	u	X
fumecheng-7012	184	44	x	x	X
fumecheng-7012	184	45	dx	dx	PROPN
fumecheng-7012	184	46	p	p	NOUN
fumecheng-7012	184	47	x	x	PUNCT
fumecheng-7012	184	48	u	u	NOUN
fumecheng-7012	184	49	x	x	X
fumecheng-7012	184	50	dx	dx	PROPN
fumecheng-7012	184	51	x	x	SYM
fumecheng-7012	184	52			ADJ
fumecheng-7012	184	53			ADJ
fumecheng-7012	184	54			PROPN
fumecheng-7012	184	55	=	=	PUNCT
fumecheng-7012	185	1	+	+	PUNCT
fumecheng-7012	185	2	+	+	NUM
fumecheng-7012	185	3			ADJ
fumecheng-7012	185	4			ADJ
fumecheng-7012	185	5			ADJ
fumecheng-7012	185	6			PROPN
fumecheng-7012	185	7	+	+	SYM
fumecheng-7012	185	8	+	+	CCONJ
fumecheng-7012	185	9	−	−	PROPN
fumecheng-7012	185	10			ADJ
fumecheng-7012	185	11	−	−	PROPN
fumecheng-7012	185	12	=	=	SYM
fumecheng-7012	185	13			NOUN
fumecheng-7012	185	14			X
fumecheng-7012	185	15			X
fumecheng-7012	185	16			NOUN
fumecheng-7012	185	17			X
fumecheng-7012	185	18			PUNCT
fumecheng-7012	185	19	u	u	PROPN
fumecheng-7012	185	20	p	p	VERB
fumecheng-7012	185	21			NUM
fumecheng-7012	185	22			NUM
fumecheng-7012	185	23			NUM
fumecheng-7012	185	24			NUM
fumecheng-7012	185	25			NUM
fumecheng-7012	185	26			NUM
fumecheng-7012	185	27			NUM
fumecheng-7012	185	28			NUM
fumecheng-7012	185	29	(	(	PUNCT
fumecheng-7012	185	30	19	19	NUM
fumecheng-7012	185	31	)	)	PUNCT
fumecheng-7012	185	32	to	to	PART
fumecheng-7012	185	33	move	move	VERB
fumecheng-7012	185	34	the	the	DET
fumecheng-7012	185	35	all	all	DET
fumecheng-7012	185	36	differential	differential	ADJ
fumecheng-7012	185	37	operators	operator	NOUN
fumecheng-7012	185	38	of	of	ADP
fumecheng-7012	185	39	the	the	DET
fumecheng-7012	185	40	axial	axial	ADJ
fumecheng-7012	185	41	displacement	displacement	NOUN
fumecheng-7012	185	42	ux(x	ux(x	ADV
fumecheng-7012	185	43	)	)	PUNCT
fumecheng-7012	185	44	into	into	ADP
fumecheng-7012	185	45	the	the	DET
fumecheng-7012	185	46	sectional	sectional	ADJ
fumecheng-7012	185	47	force	force	NOUN
fumecheng-7012	185	48	resultants	resultant	NOUN
fumecheng-7012	185	49	,	,	PUNCT
fumecheng-7012	185	50	integration	integration	NOUN
fumecheng-7012	185	51	by	by	ADP
fumecheng-7012	185	52	parts	part	NOUN
fumecheng-7012	185	53	is	be	AUX
fumecheng-7012	185	54	applied	apply	VERB
fumecheng-7012	185	55	to	to	ADP
fumecheng-7012	185	56	eq	eq	PROPN
fumecheng-7012	185	57	.	.	PUNCT
fumecheng-7012	186	1	(	(	PUNCT
fumecheng-7012	186	2	19	19	NUM
fumecheng-7012	186	3	):	):	SYM
fumecheng-7012	186	4	3	3	NUM
fumecheng-7012	186	5	2	2	NUM
fumecheng-7012	186	6	02	02	NUM
fumecheng-7012	186	7	1	1	NUM
fumecheng-7012	186	8	3	3	NUM
fumecheng-7012	186	9	2	2	NUM
fumecheng-7012	186	10	2	2	NUM
fumecheng-7012	186	11	2	2	NUM
fumecheng-7012	186	12	1	1	NUM
fumecheng-7012	186	13	02	02	NUM
fumecheng-7012	186	14	0	0	NUM
fumecheng-7012	186	15	2	2	NUM
fumecheng-7012	186	16	2	2	NUM
fumecheng-7012	186	17	1	1	NUM
fumecheng-7012	186	18	22	22	NUM
fumecheng-7012	186	19	0	0	NUM
fumecheng-7012	186	20	0	0	NUM
fumecheng-7012	186	21	(	(	PUNCT
fumecheng-7012	186	22	)	)	PUNCT
fumecheng-7012	186	23	(	(	PUNCT
fumecheng-7012	186	24	)	)	PUNCT
fumecheng-7012	186	25	(	(	PUNCT
fumecheng-7012	186	26	)	)	PUNCT
fumecheng-7012	186	27	(	(	PUNCT
fumecheng-7012	186	28	)	)	PUNCT
fumecheng-7012	186	29	(	(	PUNCT
fumecheng-7012	186	30	)	)	PUNCT
fumecheng-7012	186	31	(	(	PUNCT
fumecheng-7012	186	32	)	)	PUNCT
fumecheng-7012	186	33	(	(	PUNCT
fumecheng-7012	186	34	)	)	PUNCT
fumecheng-7012	186	35	(	(	PUNCT
fumecheng-7012	186	36	)	)	PUNCT
fumecheng-7012	186	37	(	(	PUNCT
fumecheng-7012	186	38	)	)	PUNCT
fumecheng-7012	186	39	(	(	PUNCT
fumecheng-7012	186	40	)	)	PUNCT
fumecheng-7012	186	41	(	(	PUNCT
fumecheng-7012	186	42	)	)	PUNCT
fumecheng-7012	186	43	(	(	PUNCT
fumecheng-7012	186	44	)	)	PUNCT
fumecheng-7012	186	45	(	(	PUNCT
fumecheng-7012	186	46	)	)	PUNCT
fumecheng-7012	186	47	(	(	PUNCT
fumecheng-7012	186	48	)	)	PUNCT
fumecheng-7012	186	49	(	(	PUNCT
fumecheng-7012	186	50	)	)	PUNCT
fumecheng-7012	186	51	(	(	PUNCT
fumecheng-7012	186	52	)	)	PUNCT
fumecheng-7012	186	53	(	(	PUNCT
fumecheng-7012	186	54	)	)	PUNCT
fumecheng-7012	186	55	0	0	NUM
fumecheng-7012	187	1	sur	sur	PROPN
fumecheng-7012	187	2	x	x	PUNCT
fumecheng-7012	187	3	sub	sub	NOUN
fumecheng-7012	187	4	x	x	X
fumecheng-7012	187	5	l	l	NOUN
fumecheng-7012	187	6	x	x	PUNCT
fumecheng-7012	187	7	l	l	NOUN
fumecheng-7012	187	8	x	x	X
fumecheng-7012	187	9	sur	sur	NOUN
fumecheng-7012	187	10	x	x	PUNCT
fumecheng-7012	187	11	x	x	PUNCT
fumecheng-7012	187	12	l	l	NOUN
fumecheng-7012	187	13	x	x	PUNCT
fumecheng-7012	187	14	l	l	NOUN
fumecheng-7012	187	15	x	x	PUNCT
fumecheng-7012	188	1	x	x	PUNCT
fumecheng-7012	188	2	x	x	PUNCT
fumecheng-7012	188	3	x	x	SYM
fumecheng-7012	188	4	t	t	NOUN
fumecheng-7012	188	5	n	n	NOUN
fumecheng-7012	188	6	x	x	SYM
fumecheng-7012	188	7	n	n	PROPN
fumecheng-7012	188	8	xn	xn	PROPN
fumecheng-7012	188	9	x	x	SYM
fumecheng-7012	188	10	n	n	PROPN
fumecheng-7012	188	11	x	x	SYM
fumecheng-7012	188	12	w	w	NOUN
fumecheng-7012	188	13	u	u	NOUN
fumecheng-7012	188	14	x	x	PROPN
fumecheng-7012	188	15	d	d	NOUN
fumecheng-7012	188	16	x	x	X
fumecheng-7012	188	17	p	p	X
fumecheng-7012	188	18	x	x	X
fumecheng-7012	188	19	dx	dx	PROPN
fumecheng-7012	188	20	x	x	PROPN
fumecheng-7012	188	21	xx	xx	NUM
fumecheng-7012	188	22	x	x	SYM
fumecheng-7012	188	23	n	n	PROPN
fumecheng-7012	188	24	x	x	SYM
fumecheng-7012	188	25	n	n	NOUN
fumecheng-7012	188	26	x	x	SYM
fumecheng-7012	188	27	u	u	NOUN
fumecheng-7012	188	28	x	x	PROPN
fumecheng-7012	188	29	n	n	PROPN
fumecheng-7012	188	30	x	x	SYM
fumecheng-7012	188	31	n	n	PROPN
fumecheng-7012	188	32	x	x	SYM
fumecheng-7012	188	33	xx	xx	NUM
fumecheng-7012	188	34	u	u	NOUN
fumecheng-7012	188	35	x	x	PROPN
fumecheng-7012	188	36	u	u	NOUN
fumecheng-7012	188	37	xn	xn	PROPN
fumecheng-7012	188	38	x	x	SYM
fumecheng-7012	188	39	n	n	PROPN
fumecheng-7012	188	40	x	x	SYM
fumecheng-7012	188	41	n	n	NOUN
fumecheng-7012	188	42	x	x	SYM
fumecheng-7012	188	43	x	x	PUNCT
fumecheng-7012	188	44	x	x	PUNCT
fumecheng-7012	188	45	x	x	PUNCT
fumecheng-7012	188	46	=	=	PUNCT
fumecheng-7012	188	47	=	=	PUNCT
fumecheng-7012	188	48	=	=	PUNCT
fumecheng-7012	188	49	=	=	PUNCT
fumecheng-7012	188	50	=	=	PUNCT
fumecheng-7012	188	51	=	=	SYM
fumecheng-7012	188	52			PROPN
fumecheng-7012	188	53			ADJ
fumecheng-7012	188	54			VERB
fumecheng-7012	188	55			NOUN
fumecheng-7012	188	56	=	=	PUNCT
fumecheng-7012	189	1	−	−	PROPN
fumecheng-7012	190	1	+	+	CCONJ
fumecheng-7012	190	2	−	−	PROPN
fumecheng-7012	190	3	−	−	PROPN
fumecheng-7012	191	1	+	+	CCONJ
fumecheng-7012	191	2	−	−	X
fumecheng-7012	192	1			ADJ
fumecheng-7012	192	2			PROPN
fumecheng-7012	192	3			PROPN
fumecheng-7012	192	4			ADP
fumecheng-7012	192	5			PROPN
fumecheng-7012	193	1			PROPN
fumecheng-7012	193	2			ADJ
fumecheng-7012	193	3			NOUN
fumecheng-7012	193	4	+	+	PUNCT
fumecheng-7012	193	5	−	−	X
fumecheng-7012	194	1	+	+	CCONJ
fumecheng-7012	194	2	+	+	ADJ
fumecheng-7012	194	3			NOUN
fumecheng-7012	194	4			ADJ
fumecheng-7012	194	5			PROPN
fumecheng-7012	194	6			PROPN
fumecheng-7012	195	1			PROPN
fumecheng-7012	195	2			PROPN
fumecheng-7012	195	3			VERB
fumecheng-7012	195	4			PROPN
fumecheng-7012	195	5	+	+	NOUN
fumecheng-7012	195	6	−	−	PROPN
fumecheng-7012	196	1	+	+	CCONJ
fumecheng-7012	196	2	+	+	ADJ
fumecheng-7012	196	3			NOUN
fumecheng-7012	196	4			NOUN
fumecheng-7012	196	5			VERB
fumecheng-7012	196	6			PROPN
fumecheng-7012	196	7			PROPN
fumecheng-7012	196	8			ADP
fumecheng-7012	196	9			PROPN
fumecheng-7012	196	10	−	−	PROPN
fumecheng-7012	197	1	=	=	SYM
fumecheng-7012	197	2			PUNCT
fumecheng-7012	197	3	u	u	NOUN
fumecheng-7012	197	4	p	p	VERB
fumecheng-7012	197	5			NUM
fumecheng-7012	197	6			NUM
fumecheng-7012	197	7			NUM
fumecheng-7012	197	8			NUM
fumecheng-7012	197	9			NUM
fumecheng-7012	197	10			NUM
fumecheng-7012	197	11	(	(	PUNCT
fumecheng-7012	197	12	20	20	NUM
fumecheng-7012	197	13	)	)	PUNCT
fumecheng-7012	197	14	following	follow	VERB
fumecheng-7012	197	15	the	the	DET
fumecheng-7012	197	16	cartesian	cartesian	ADJ
fumecheng-7012	197	17	sign	sign	NOUN
fumecheng-7012	197	18	convention	convention	PROPN
fumecheng-7012	197	19	,	,	PUNCT
fumecheng-7012	197	20	eq	eq	NOUN
fumecheng-7012	197	21	.	.	PUNCT
fumecheng-7012	198	1	(	(	PUNCT
fumecheng-7012	198	2	20	20	NUM
fumecheng-7012	198	3	)	)	PUNCT
fumecheng-7012	198	4	can	can	AUX
fumecheng-7012	198	5	be	be	AUX
fumecheng-7012	198	6	expressed	express	VERB
fumecheng-7012	198	7	as	as	ADP
fumecheng-7012	198	8	:	:	PUNCT
fumecheng-7012	198	9	3	3	NUM
fumecheng-7012	198	10	2	2	NUM
fumecheng-7012	198	11	02	02	NUM
fumecheng-7012	198	12	1	1	NUM
fumecheng-7012	198	13	3	3	NUM
fumecheng-7012	198	14	2	2	NUM
fumecheng-7012	198	15	2	2	NUM
fumecheng-7012	198	16	2	2	NUM
fumecheng-7012	198	17	1	1	NUM
fumecheng-7012	198	18	1	1	NUM
fumecheng-7012	198	19	0	0	NUM
fumecheng-7012	198	20	12	12	NUM
fumecheng-7012	198	21	0	0	NUM
fumecheng-7012	198	22	2	2	NUM
fumecheng-7012	198	23	2	2	NUM
fumecheng-7012	198	24	1	1	NUM
fumecheng-7012	198	25	2	2	NUM
fumecheng-7012	198	26	3	3	NUM
fumecheng-7012	198	27	2	2	NUM
fumecheng-7012	198	28	0	0	NUM
fumecheng-7012	198	29	3	3	NUM
fumecheng-7012	198	30	0	0	NUM
fumecheng-7012	198	31	2	2	NUM
fumecheng-7012	198	32	2	2	NUM
fumecheng-7012	198	33	4	4	NUM
fumecheng-7012	198	34	(	(	PUNCT
fumecheng-7012	198	35	)	)	PUNCT
fumecheng-7012	198	36	(	(	PUNCT
fumecheng-7012	198	37	)	)	PUNCT
fumecheng-7012	198	38	(	(	PUNCT
fumecheng-7012	198	39	)	)	PUNCT
fumecheng-7012	198	40	(	(	PUNCT
fumecheng-7012	198	41	)	)	PUNCT
fumecheng-7012	198	42	(	(	PUNCT
fumecheng-7012	198	43	)	)	PUNCT
fumecheng-7012	198	44	(	(	PUNCT
fumecheng-7012	198	45	)	)	PUNCT
fumecheng-7012	198	46	(	(	PUNCT
fumecheng-7012	198	47	)	)	PUNCT
fumecheng-7012	198	48	(	(	PUNCT
fumecheng-7012	198	49	)	)	PUNCT
fumecheng-7012	198	50	(	(	PUNCT
fumecheng-7012	198	51	)	)	PUNCT
fumecheng-7012	198	52	(	(	PUNCT
fumecheng-7012	198	53	)	)	PUNCT
fumecheng-7012	198	54	(	(	PUNCT
fumecheng-7012	198	55	)	)	PUNCT
fumecheng-7012	198	56	(	(	PUNCT
fumecheng-7012	198	57	)	)	PUNCT
fumecheng-7012	198	58	(	(	PUNCT
fumecheng-7012	198	59	)	)	PUNCT
fumecheng-7012	198	60	(	(	PUNCT
fumecheng-7012	198	61	(	(	PUNCT
fumecheng-7012	198	62	)	)	PUNCT
fumecheng-7012	198	63	)	)	PUNCT
fumecheng-7012	198	64	sur	sur	PROPN
fumecheng-7012	198	65	x	x	PUNCT
fumecheng-7012	198	66	sub	sub	NOUN
fumecheng-7012	198	67	x	x	X
fumecheng-7012	198	68	l	l	NOUN
fumecheng-7012	198	69	sur	sur	X
fumecheng-7012	198	70	x	x	PUNCT
fumecheng-7012	198	71	x	x	SYM
fumecheng-7012	198	72	x	x	SYM
fumecheng-7012	198	73	n	n	PROPN
fumecheng-7012	198	74	x	x	SYM
fumecheng-7012	198	75	n	n	NOUN
fumecheng-7012	198	76	xn	xn	PROPN
fumecheng-7012	198	77	x	x	SYM
fumecheng-7012	198	78	n	n	PROPN
fumecheng-7012	198	79	x	x	SYM
fumecheng-7012	198	80	w	w	NOUN
fumecheng-7012	198	81	u	u	NOUN
fumecheng-7012	198	82	x	x	PROPN
fumecheng-7012	198	83	d	d	NOUN
fumecheng-7012	198	84	x	x	X
fumecheng-7012	198	85	p	p	X
fumecheng-7012	198	86	x	x	X
fumecheng-7012	198	87	dx	dx	PROPN
fumecheng-7012	198	88	x	x	PROPN
fumecheng-7012	198	89	xx	xx	NUM
fumecheng-7012	198	90	x	x	SYM
fumecheng-7012	198	91	n	n	PROPN
fumecheng-7012	198	92	x	x	SYM
fumecheng-7012	198	93	n	n	NOUN
fumecheng-7012	198	94	x	x	SYM
fumecheng-7012	198	95	u	u	NOUN
fumecheng-7012	198	96	n	n	NOUN
fumecheng-7012	198	97	x	x	SYM
fumecheng-7012	198	98	n	n	PROPN
fumecheng-7012	198	99	x	x	SYM
fumecheng-7012	198	100	p	p	NOUN
fumecheng-7012	198	101	xx	xx	NUM
fumecheng-7012	198	102	n	n	NOUN
fumecheng-7012	198	103	x	x	SYM
fumecheng-7012	198	104	u	u	NOUN
fumecheng-7012	198	105	n	n	NOUN
fumecheng-7012	198	106	x	x	NOUN
fumecheng-7012	198	107	p	p	X
fumecheng-7012	198	108	u	u	NOUN
fumecheng-7012	198	109	n	n	NOUN
fumecheng-7012	198	110	x	x	NOUN
fumecheng-7012	198	111	p	p	X
fumecheng-7012	198	112	x	x	X
fumecheng-7012	198	113	n	n	X
fumecheng-7012	198	114	u	u	NOUN
fumecheng-7012	198	115	=	=	NOUN
fumecheng-7012	198	116	=	=	SYM
fumecheng-7012	198	117	=	=	SYM
fumecheng-7012	198	118			PROPN
fumecheng-7012	198	119			ADJ
fumecheng-7012	198	120			VERB
fumecheng-7012	198	121			NOUN
fumecheng-7012	198	122	=	=	PUNCT
fumecheng-7012	199	1	−	−	PROPN
fumecheng-7012	200	1	+	+	CCONJ
fumecheng-7012	200	2	−	−	PROPN
fumecheng-7012	200	3	−	−	PROPN
fumecheng-7012	201	1	+	+	CCONJ
fumecheng-7012	201	2	−	−	X
fumecheng-7012	202	1			ADJ
fumecheng-7012	202	2			PROPN
fumecheng-7012	202	3			PROPN
fumecheng-7012	202	4			PROPN
fumecheng-7012	202	5			PROPN
fumecheng-7012	203	1			PROPN
fumecheng-7012	204	1			PROPN
fumecheng-7012	204	2			NOUN
fumecheng-7012	204	3			ADJ
fumecheng-7012	204	4	−	−	NOUN
fumecheng-7012	204	5	−	−	PROPN
fumecheng-7012	205	1	+	+	CCONJ
fumecheng-7012	205	2	+	+	CCONJ
fumecheng-7012	205	3	+	+	ADJ
fumecheng-7012	205	4			NOUN
fumecheng-7012	205	5			NOUN
fumecheng-7012	205	6			PROPN
fumecheng-7012	205	7			DET
fumecheng-7012	205	8			NOUN
fumecheng-7012	205	9			PROPN
fumecheng-7012	205	10			PROPN
fumecheng-7012	206	1			PROPN
fumecheng-7012	206	2			PROPN
fumecheng-7012	206	3			PROPN
fumecheng-7012	206	4			PROPN
fumecheng-7012	206	5	−	−	PROPN
fumecheng-7012	206	6	−	−	PROPN
fumecheng-7012	206	7	+	+	PROPN
fumecheng-7012	206	8	+	+	CCONJ
fumecheng-7012	206	9	−	−	X
fumecheng-7012	206	10	+	+	ADJ
fumecheng-7012	206	11			NOUN
fumecheng-7012	206	12			NOUN
fumecheng-7012	206	13			PROPN
fumecheng-7012	206	14			PROPN
fumecheng-7012	206	15			X
fumecheng-7012	206	16			NOUN
fumecheng-7012	206	17			PROPN
fumecheng-7012	206	18			PROPN
fumecheng-7012	206	19			PROPN
fumecheng-7012	206	20	+	+	CCONJ
fumecheng-7012	206	21			PROPN
fumecheng-7012	206	22			NUM
fumecheng-7012	206	23			NUM
fumecheng-7012	206	24			NUM
fumecheng-7012	206	25			NUM
fumecheng-7012	206	26			NUM
fumecheng-7012	206	27	1	1	NUM
fumecheng-7012	206	28	0	0	NUM
fumecheng-7012	206	29	42	42	NUM
fumecheng-7012	206	30	2	2	NUM
fumecheng-7012	206	31	5	5	NUM
fumecheng-7012	206	32	1	1	NUM
fumecheng-7012	206	33	5	5	NUM
fumecheng-7012	206	34	6	6	NUM
fumecheng-7012	206	35	2	2	NUM
fumecheng-7012	206	36	6	6	NUM
fumecheng-7012	206	37	(	(	PUNCT
fumecheng-7012	206	38	)	)	PUNCT
fumecheng-7012	206	39	(	(	PUNCT
fumecheng-7012	206	40	)	)	PUNCT
fumecheng-7012	206	41	(	(	PUNCT
fumecheng-7012	206	42	)	)	PUNCT
fumecheng-7012	206	43	(	(	PUNCT
fumecheng-7012	206	44	)	)	PUNCT
fumecheng-7012	206	45	(	(	PUNCT
fumecheng-7012	206	46	)	)	PUNCT
fumecheng-7012	206	47	(	(	PUNCT
fumecheng-7012	206	48	)	)	PUNCT
fumecheng-7012	206	49	(	(	PUNCT
fumecheng-7012	206	50	(	(	PUNCT
fumecheng-7012	206	51	)	)	PUNCT
fumecheng-7012	206	52	)	)	PUNCT
fumecheng-7012	206	53	0	0	NUM
fumecheng-7012	207	1	sur	sur	NOUN
fumecheng-7012	207	2	x	x	X
fumecheng-7012	207	3	l	l	NOUN
fumecheng-7012	207	4	x	x	PUNCT
fumecheng-7012	207	5	l	l	NOUN
fumecheng-7012	207	6	x	x	PUNCT
fumecheng-7012	207	7	l	l	NOUN
fumecheng-7012	207	8	t	t	NOUN
fumecheng-7012	207	9	x	x	SYM
fumecheng-7012	207	10	n	n	PROPN
fumecheng-7012	207	11	x	x	SYM
fumecheng-7012	207	12	n	n	PROPN
fumecheng-7012	207	13	x	x	SYM
fumecheng-7012	207	14	n	n	NOUN
fumecheng-7012	207	15	x	x	SYM
fumecheng-7012	207	16	p	p	NOUN
fumecheng-7012	207	17	xx	xx	NUM
fumecheng-7012	208	1	n	n	NOUN
fumecheng-7012	208	2	x	x	SYM
fumecheng-7012	208	3	u	u	NOUN
fumecheng-7012	208	4	n	n	NOUN
fumecheng-7012	208	5	x	x	NOUN
fumecheng-7012	208	6	p	p	X
fumecheng-7012	208	7	u	u	NOUN
fumecheng-7012	208	8	n	n	NOUN
fumecheng-7012	208	9	x	x	NOUN
fumecheng-7012	208	10	p	p	X
fumecheng-7012	208	11	x	x	X
fumecheng-7012	208	12	=	=	SYM
fumecheng-7012	208	13	=	=	SYM
fumecheng-7012	208	14	=	=	SYM
fumecheng-7012	208	15			PROPN
fumecheng-7012	208	16			PROPN
fumecheng-7012	208	17			VERB
fumecheng-7012	208	18	−	−	PROPN
fumecheng-7012	209	1	+	+	CCONJ
fumecheng-7012	209	2	+	+	CCONJ
fumecheng-7012	209	3	−	−	ADV
fumecheng-7012	209	4			VERB
fumecheng-7012	209	5			PROPN
fumecheng-7012	209	6			DET
fumecheng-7012	209	7			NOUN
fumecheng-7012	209	8			PROPN
fumecheng-7012	209	9			PROPN
fumecheng-7012	210	1			PROPN
fumecheng-7012	210	2			PROPN
fumecheng-7012	210	3			PROPN
fumecheng-7012	210	4			PROPN
fumecheng-7012	210	5	+	+	NOUN
fumecheng-7012	210	6	−	−	PROPN
fumecheng-7012	210	7	+	+	CCONJ
fumecheng-7012	210	8	−	−	PROPN
fumecheng-7012	211	1	+	+	CCONJ
fumecheng-7012	211	2	−	−	ADV
fumecheng-7012	211	3			NOUN
fumecheng-7012	211	4			PROPN
fumecheng-7012	211	5			PROPN
fumecheng-7012	211	6			X
fumecheng-7012	211	7			NOUN
fumecheng-7012	211	8			PROPN
fumecheng-7012	211	9			PROPN
fumecheng-7012	211	10	−	−	PROPN
fumecheng-7012	212	1	=	=	SYM
fumecheng-7012	212	2	u	u	X
fumecheng-7012	212	3	p	p	VERB
fumecheng-7012	212	4			NUM
fumecheng-7012	212	5			NUM
fumecheng-7012	212	6			NUM
fumecheng-7012	212	7	(	(	PUNCT
fumecheng-7012	212	8	21	21	NUM
fumecheng-7012	212	9	)	)	PUNCT
fumecheng-7012	212	10	considering	consider	VERB
fumecheng-7012	212	11	the	the	DET
fumecheng-7012	212	12	arbitrary	arbitrary	ADJ
fumecheng-7012	212	13	variable	variable	NOUN
fumecheng-7012	212	14	of	of	ADP
fumecheng-7012	212	15	δux(x	δux(x	PROPN
fumecheng-7012	212	16	)	)	PUNCT
fumecheng-7012	212	17	in	in	ADP
fumecheng-7012	212	18	eq	eq	ADP
fumecheng-7012	212	19	.	.	PUNCT
fumecheng-7012	213	1	(	(	PUNCT
fumecheng-7012	213	2	21	21	NUM
fumecheng-7012	213	3	)	)	PUNCT
fumecheng-7012	213	4	,	,	PUNCT
fumecheng-7012	213	5	the	the	DET
fumecheng-7012	213	6	governing	govern	VERB
fumecheng-7012	213	7	differential	differential	ADJ
fumecheng-7012	213	8	equilibrium	equilibrium	NOUN
fumecheng-7012	213	9	equation	equation	NOUN
fumecheng-7012	213	10	for	for	ADP
fumecheng-7012	213	11	the	the	DET
fumecheng-7012	213	12	proposed	propose	VERB
fumecheng-7012	213	13	nanowire	nanowire	ADJ
fumecheng-7012	213	14	element	element	NOUN
fumecheng-7012	213	15	embedded	embed	VERB
fumecheng-7012	213	16	in	in	ADP
fumecheng-7012	213	17	elastic	elastic	ADJ
fumecheng-7012	213	18	substrate	substrate	NOUN
fumecheng-7012	213	19	is	be	AUX
fumecheng-7012	213	20	:	:	PUNCT
fumecheng-7012	213	21	3	3	NUM
fumecheng-7012	213	22	2	2	NUM
fumecheng-7012	213	23	02	02	NUM
fumecheng-7012	213	24	1	1	NUM
fumecheng-7012	213	25	3	3	NUM
fumecheng-7012	213	26	2	2	NUM
fumecheng-7012	213	27	(	(	PUNCT
fumecheng-7012	213	28	)	)	PUNCT
fumecheng-7012	213	29	(	(	PUNCT
fumecheng-7012	213	30	)	)	PUNCT
fumecheng-7012	213	31	(	(	PUNCT
fumecheng-7012	213	32	)	)	PUNCT
fumecheng-7012	213	33	(	(	PUNCT
fumecheng-7012	213	34	)	)	PUNCT
fumecheng-7012	213	35	(	(	PUNCT
fumecheng-7012	213	36	)	)	PUNCT
fumecheng-7012	213	37	(	(	PUNCT
fumecheng-7012	213	38	)	)	PUNCT
fumecheng-7012	213	39	0sur	0sur	NOUN
fumecheng-7012	213	40	sub	sub	NOUN
fumecheng-7012	213	41	x	x	VERB
fumecheng-7012	213	42	n	n	X
fumecheng-7012	213	43	x	x	SYM
fumecheng-7012	213	44	n	n	NOUN
fumecheng-7012	213	45	xn	xn	PROPN
fumecheng-7012	213	46	x	x	SYM
fumecheng-7012	214	1	n	n	PROPN
fumecheng-7012	214	2	x	x	SYM
fumecheng-7012	215	1	d	d	NOUN
fumecheng-7012	215	2	x	x	X
fumecheng-7012	215	3	p	p	X
fumecheng-7012	215	4	x	x	X
fumecheng-7012	215	5	x	x	SYM
fumecheng-7012	215	6	xx	xx	NUM
fumecheng-7012	215	7	x	x	SYM
fumecheng-7012	215	8			ADJ
fumecheng-7012	215	9			PROPN
fumecheng-7012	215	10			PROPN
fumecheng-7012	215	11	−	−	PROPN
fumecheng-7012	216	1	+	+	CCONJ
fumecheng-7012	216	2	−	−	PROPN
fumecheng-7012	216	3	−	−	PROPN
fumecheng-7012	217	1	+	+	CCONJ
fumecheng-7012	217	2	−	−	PROPN
fumecheng-7012	217	3	=	=	SYM
fumecheng-7012	217	4			ADJ
fumecheng-7012	217	5			ADJ
fumecheng-7012	217	6			PROPN
fumecheng-7012	217	7	(	(	PUNCT
fumecheng-7012	217	8	22	22	NUM
fumecheng-7012	217	9	)	)	PUNCT
fumecheng-7012	217	10	666	666	NUM
fumecheng-7012	217	11	w.	w.	PROPN
fumecheng-7012	217	12	sae	sae	PROPN
fumecheng-7012	217	13	-	-	PROPN
fumecheng-7012	217	14	long	long	ADV
fumecheng-7012	217	15	,	,	PUNCT
fumecheng-7012	217	16	s.	s.	PROPN
fumecheng-7012	217	17	limkatanyu	limkatanyu	PROPN
fumecheng-7012	217	18	,	,	PUNCT
fumecheng-7012	217	19	p.	p.	NOUN
fumecheng-7012	217	20	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	217	21	,	,	PUNCT
fumecheng-7012	217	22	et	et	PROPN
fumecheng-7012	217	23	al	al	PROPN
fumecheng-7012	217	24	.	.	PROPN
fumecheng-7012	218	1	from	from	ADP
fumecheng-7012	218	2	eq	eq	PROPN
fumecheng-7012	218	3	.	.	PUNCT
fumecheng-7012	219	1	(	(	PUNCT
fumecheng-7012	219	2	21	21	NUM
fumecheng-7012	219	3	)	)	PUNCT
fumecheng-7012	219	4	,	,	PUNCT
fumecheng-7012	219	5	the	the	DET
fumecheng-7012	219	6	boundary	boundary	ADJ
fumecheng-7012	219	7	force	force	NOUN
fumecheng-7012	219	8	conditions	condition	NOUN
fumecheng-7012	219	9	at	at	ADP
fumecheng-7012	219	10	the	the	DET
fumecheng-7012	219	11	ends	end	NOUN
fumecheng-7012	219	12	of	of	ADP
fumecheng-7012	219	13	an	an	DET
fumecheng-7012	219	14	element	element	NOUN
fumecheng-7012	219	15	are	be	AUX
fumecheng-7012	219	16	also	also	ADV
fumecheng-7012	219	17	obtained	obtain	VERB
fumecheng-7012	219	18	by	by	ADP
fumecheng-7012	219	19	considering	consider	VERB
fumecheng-7012	219	20	arbitrary	arbitrary	ADJ
fumecheng-7012	219	21	δu	δu	NOUN
fumecheng-7012	219	22	:	:	SYM
fumecheng-7012	219	23	2	2	NUM
fumecheng-7012	219	24	2	2	NUM
fumecheng-7012	219	25	1	1	NUM
fumecheng-7012	219	26	1	1	NUM
fumecheng-7012	219	27	02	02	NUM
fumecheng-7012	219	28	0	0	NUM
fumecheng-7012	219	29	2	2	NUM
fumecheng-7012	219	30	2	2	NUM
fumecheng-7012	219	31	1	1	NUM
fumecheng-7012	219	32	3	3	NUM
fumecheng-7012	219	33	2	2	NUM
fumecheng-7012	219	34	0	0	NUM
fumecheng-7012	219	35	0	0	NUM
fumecheng-7012	219	36	2	2	NUM
fumecheng-7012	219	37	2	2	NUM
fumecheng-7012	219	38	1	1	NUM
fumecheng-7012	219	39	4	4	NUM
fumecheng-7012	219	40	02	02	NUM
fumecheng-7012	219	41	2	2	NUM
fumecheng-7012	219	42	5	5	NUM
fumecheng-7012	219	43	1	1	NUM
fumecheng-7012	219	44	6	6	NUM
fumecheng-7012	219	45	2	2	NUM
fumecheng-7012	219	46	(	(	PUNCT
fumecheng-7012	219	47	)	)	PUNCT
fumecheng-7012	219	48	(	(	PUNCT
fumecheng-7012	219	49	)	)	PUNCT
fumecheng-7012	219	50	(	(	PUNCT
fumecheng-7012	219	51	)	)	PUNCT
fumecheng-7012	219	52	(	(	PUNCT
fumecheng-7012	219	53	)	)	PUNCT
fumecheng-7012	219	54	;	;	PUNCT
fumecheng-7012	219	55	(	(	PUNCT
fumecheng-7012	219	56	)	)	PUNCT
fumecheng-7012	219	57	(	(	PUNCT
fumecheng-7012	219	58	)	)	PUNCT
fumecheng-7012	219	59	;	;	PUNCT
fumecheng-7012	219	60	(	(	PUNCT
fumecheng-7012	219	61	)	)	PUNCT
fumecheng-7012	219	62	;	;	PUNCT
fumecheng-7012	219	63	(	(	PUNCT
fumecheng-7012	219	64	)	)	PUNCT
fumecheng-7012	219	65	(	(	PUNCT
fumecheng-7012	219	66	)	)	PUNCT
fumecheng-7012	219	67	(	(	PUNCT
fumecheng-7012	219	68	)	)	PUNCT
fumecheng-7012	219	69	(	(	PUNCT
fumecheng-7012	219	70	)	)	PUNCT
fumecheng-7012	219	71	;	;	PUNCT
fumecheng-7012	219	72	(	(	PUNCT
fumecheng-7012	219	73	)	)	PUNCT
fumecheng-7012	219	74	(	(	PUNCT
fumecheng-7012	219	75	)	)	PUNCT
fumecheng-7012	219	76	;	;	PUNCT
fumecheng-7012	219	77	(	(	PUNCT
fumecheng-7012	219	78	)	)	PUNCT
fumecheng-7012	219	79	sur	sur	PROPN
fumecheng-7012	219	80	x	x	SYM
fumecheng-7012	219	81	x	x	PUNCT
fumecheng-7012	219	82	x	x	X
fumecheng-7012	219	83	sur	sur	PROPN
fumecheng-7012	219	84	x	x	X
fumecheng-7012	220	1	l	l	NOUN
fumecheng-7012	220	2	x	x	PUNCT
fumecheng-7012	220	3	l	l	NOUN
fumecheng-7012	220	4	x	x	PUNCT
fumecheng-7012	220	5	l	l	NOUN
fumecheng-7012	220	6	n	n	NOUN
fumecheng-7012	220	7	x	x	SYM
fumecheng-7012	220	8	n	n	PROPN
fumecheng-7012	220	9	x	x	SYM
fumecheng-7012	220	10	p	p	NOUN
fumecheng-7012	220	11	n	n	NOUN
fumecheng-7012	220	12	x	x	SYM
fumecheng-7012	220	13	n	n	PROPN
fumecheng-7012	220	14	x	x	SYM
fumecheng-7012	220	15	xx	xx	NUM
fumecheng-7012	221	1	n	n	NOUN
fumecheng-7012	221	2	x	x	NOUN
fumecheng-7012	221	3	p	p	NOUN
fumecheng-7012	221	4	n	n	NOUN
fumecheng-7012	221	5	x	x	NOUN
fumecheng-7012	221	6	p	p	NOUN
fumecheng-7012	221	7	n	n	NOUN
fumecheng-7012	221	8	x	x	NOUN
fumecheng-7012	221	9	x	x	SYM
fumecheng-7012	221	10	n	n	PROPN
fumecheng-7012	221	11	x	x	SYM
fumecheng-7012	221	12	n	n	NOUN
fumecheng-7012	221	13	x	x	NOUN
fumecheng-7012	221	14	p	p	NOUN
fumecheng-7012	221	15	n	n	NOUN
fumecheng-7012	221	16	x	x	SYM
fumecheng-7012	221	17	n	n	PROPN
fumecheng-7012	221	18	x	x	SYM
fumecheng-7012	221	19	xx	xx	NUM
fumecheng-7012	222	1	n	n	NOUN
fumecheng-7012	222	2	x	x	NOUN
fumecheng-7012	222	3	p	p	NOUN
fumecheng-7012	222	4	n	n	NOUN
fumecheng-7012	222	5	x	x	NOUN
fumecheng-7012	222	6	p	p	NOUN
fumecheng-7012	222	7	n	n	NOUN
fumecheng-7012	222	8	x	x	NOUN
fumecheng-7012	222	9	x	x	PUNCT
fumecheng-7012	222	10	=	=	PUNCT
fumecheng-7012	222	11	=	=	PUNCT
fumecheng-7012	222	12	=	=	PUNCT
fumecheng-7012	222	13	=	=	PUNCT
fumecheng-7012	222	14	=	=	PUNCT
fumecheng-7012	222	15	=	=	SYM
fumecheng-7012	222	16			PROPN
fumecheng-7012	222	17			ADJ
fumecheng-7012	222	18			NOUN
fumecheng-7012	222	19	=	=	PUNCT
fumecheng-7012	222	20	−	−	PROPN
fumecheng-7012	222	21	−	−	PROPN
fumecheng-7012	222	22	+	+	CCONJ
fumecheng-7012	222	23	+	+	ADJ
fumecheng-7012	222	24			NOUN
fumecheng-7012	222	25			ADJ
fumecheng-7012	222	26			PROPN
fumecheng-7012	222	27			PROPN
fumecheng-7012	222	28			PROPN
fumecheng-7012	222	29			ADJ
fumecheng-7012	222	30			PROPN
fumecheng-7012	222	31	=	=	NOUN
fumecheng-7012	222	32	−	−	PROPN
fumecheng-7012	222	33	−	−	PROPN
fumecheng-7012	222	34	+	+	CCONJ
fumecheng-7012	222	35	=	=	SYM
fumecheng-7012	222	36	−	−	X
fumecheng-7012	222	37			NOUN
fumecheng-7012	222	38			VERB
fumecheng-7012	222	39			PROPN
fumecheng-7012	222	40			PROPN
fumecheng-7012	222	41			PROPN
fumecheng-7012	222	42			ADJ
fumecheng-7012	222	43			NOUN
fumecheng-7012	222	44	=	=	PUNCT
fumecheng-7012	222	45	−	−	PROPN
fumecheng-7012	223	1	+	+	CCONJ
fumecheng-7012	223	2	+	+	ADJ
fumecheng-7012	223	3			NOUN
fumecheng-7012	223	4			ADJ
fumecheng-7012	223	5			PROPN
fumecheng-7012	223	6			PROPN
fumecheng-7012	224	1			PROPN
fumecheng-7012	224	2			ADJ
fumecheng-7012	225	1			PROPN
fumecheng-7012	225	2	=	=	NOUN
fumecheng-7012	225	3	−	−	PROPN
fumecheng-7012	225	4	+	+	CCONJ
fumecheng-7012	225	5	=	=	NOUN
fumecheng-7012	225	6			NOUN
fumecheng-7012	225	7			NOUN
fumecheng-7012	225	8			VERB
fumecheng-7012	225	9			PROPN
fumecheng-7012	225	10			PROPN
fumecheng-7012	225	11	(	(	PUNCT
fumecheng-7012	225	12	23	23	NUM
fumecheng-7012	225	13	)	)	PUNCT
fumecheng-7012	225	14	4.3	4.3	NUM
fumecheng-7012	225	15	.	.	PUNCT
fumecheng-7012	225	16	force	force	NOUN
fumecheng-7012	225	17	-	-	PUNCT
fumecheng-7012	225	18	deformation	deformation	NOUN
fumecheng-7012	225	19	relations	relation	NOUN
fumecheng-7012	225	20	the	the	DET
fumecheng-7012	225	21	force	force	NOUN
fumecheng-7012	225	22	-	-	PUNCT
fumecheng-7012	225	23	deformation	deformation	NOUN
fumecheng-7012	225	24	relations	relation	NOUN
fumecheng-7012	225	25	of	of	ADP
fumecheng-7012	225	26	the	the	DET
fumecheng-7012	225	27	axial	axial	ADJ
fumecheng-7012	225	28	resultants	resultant	NOUN
fumecheng-7012	225	29	for	for	ADP
fumecheng-7012	225	30	nanowire	nanowire	NOUN
fumecheng-7012	225	31	are	be	AUX
fumecheng-7012	225	32	established	establish	VERB
fumecheng-7012	225	33	by	by	ADP
fumecheng-7012	225	34	inserting	insert	VERB
fumecheng-7012	225	35	the	the	DET
fumecheng-7012	225	36	compatibility	compatibility	NOUN
fumecheng-7012	225	37	equations	equation	NOUN
fumecheng-7012	225	38	of	of	ADP
fumecheng-7012	225	39	eqs	eqs	PROPN
fumecheng-7012	225	40	.	.	PUNCT
fumecheng-7012	226	1	(	(	PUNCT
fumecheng-7012	226	2	10	10	NUM
fumecheng-7012	226	3	)	)	PUNCT
fumecheng-7012	226	4	to	to	ADP
fumecheng-7012	226	5	(	(	PUNCT
fumecheng-7012	226	6	12	12	NUM
fumecheng-7012	226	7	)	)	PUNCT
fumecheng-7012	226	8	into	into	ADP
fumecheng-7012	226	9	the	the	DET
fumecheng-7012	226	10	relations	relation	NOUN
fumecheng-7012	226	11	in	in	ADP
fumecheng-7012	226	12	eqs	eqs	PROPN
fumecheng-7012	226	13	.	.	PUNCT
fumecheng-7012	227	1	(	(	PUNCT
fumecheng-7012	227	2	3	3	X
fumecheng-7012	227	3	)	)	PUNCT
fumecheng-7012	227	4	to	to	ADP
fumecheng-7012	227	5	(	(	PUNCT
fumecheng-7012	227	6	5	5	NUM
fumecheng-7012	227	7	)	)	PUNCT
fumecheng-7012	227	8	and	and	CCONJ
fumecheng-7012	227	9	considering	consider	VERB
fumecheng-7012	227	10	stress	stress	NOUN
fumecheng-7012	227	11	in	in	ADP
fumecheng-7012	227	12	term	term	NOUN
fumecheng-7012	227	13	of	of	ADP
fumecheng-7012	227	14	axial	axial	ADJ
fumecheng-7012	227	15	force	force	NOUN
fumecheng-7012	227	16	,	,	PUNCT
fumecheng-7012	227	17	resulting	result	VERB
fumecheng-7012	227	18	in	in	ADP
fumecheng-7012	227	19	the	the	DET
fumecheng-7012	227	20	following	follow	VERB
fumecheng-7012	227	21	relations	relation	NOUN
fumecheng-7012	227	22	:	:	PUNCT
fumecheng-7012	227	23	0	0	PUNCT
fumecheng-7012	228	1	(	(	PUNCT
fumecheng-7012	228	2	)	)	PUNCT
fumecheng-7012	228	3	(	(	PUNCT
fumecheng-7012	228	4	)	)	PUNCT
fumecheng-7012	228	5	x	x	SYM
fumecheng-7012	228	6	xx	xx	NUM
fumecheng-7012	228	7	u	u	NOUN
fumecheng-7012	228	8	x	x	PROPN
fumecheng-7012	228	9	n	n	PROPN
fumecheng-7012	228	10	x	x	X
fumecheng-7012	228	11	e	e	NOUN
fumecheng-7012	228	12	a	a	DET
fumecheng-7012	228	13	x	x	X
fumecheng-7012	228	14			ADJ
fumecheng-7012	228	15	=	=	SYM
fumecheng-7012	228	16			PROPN
fumecheng-7012	228	17	(	(	PUNCT
fumecheng-7012	228	18	24	24	NUM
fumecheng-7012	228	19	)	)	SYM
fumecheng-7012	228	20	2	2	NUM
fumecheng-7012	228	21	2	2	NUM
fumecheng-7012	228	22	1	1	NUM
fumecheng-7012	228	23	0	0	NUM
fumecheng-7012	228	24	2	2	NUM
fumecheng-7012	228	25	(	(	PUNCT
fumecheng-7012	228	26	)	)	PUNCT
fumecheng-7012	228	27	(	(	PUNCT
fumecheng-7012	228	28	)	)	PUNCT
fumecheng-7012	228	29	(	(	PUNCT
fumecheng-7012	228	30	)	)	PUNCT
fumecheng-7012	228	31	x	x	SYM
fumecheng-7012	228	32	xx	xx	NUM
fumecheng-7012	228	33	u	u	NOUN
fumecheng-7012	228	34	x	x	PROPN
fumecheng-7012	228	35	n	n	PROPN
fumecheng-7012	228	36	x	x	PUNCT
fumecheng-7012	228	37	e	e	X
fumecheng-7012	228	38	a	a	X
fumecheng-7012	228	39	e	e	X
fumecheng-7012	228	40	a	a	DET
fumecheng-7012	228	41	x	x	X
fumecheng-7012	228	42			ADJ
fumecheng-7012	228	43	=	=	SYM
fumecheng-7012	228	44			PROPN
fumecheng-7012	228	45	(	(	PUNCT
fumecheng-7012	228	46	25	25	NUM
fumecheng-7012	228	47	)	)	PUNCT
fumecheng-7012	228	48	3	3	NUM
fumecheng-7012	228	49	4	4	NUM
fumecheng-7012	228	50	2	2	NUM
fumecheng-7012	228	51	0	0	NUM
fumecheng-7012	228	52	3	3	NUM
fumecheng-7012	228	53	(	(	PUNCT
fumecheng-7012	228	54	)	)	PUNCT
fumecheng-7012	228	55	(	(	PUNCT
fumecheng-7012	228	56	)	)	PUNCT
fumecheng-7012	228	57	(	(	PUNCT
fumecheng-7012	228	58	)	)	PUNCT
fumecheng-7012	228	59	x	x	SYM
fumecheng-7012	228	60	xx	xx	NUM
fumecheng-7012	228	61	u	u	NOUN
fumecheng-7012	228	62	x	x	PROPN
fumecheng-7012	228	63	n	n	PROPN
fumecheng-7012	228	64	x	x	PUNCT
fumecheng-7012	228	65	e	e	X
fumecheng-7012	228	66	a	a	X
fumecheng-7012	228	67	e	e	X
fumecheng-7012	228	68	a	a	DET
fumecheng-7012	228	69	x	x	X
fumecheng-7012	228	70			ADJ
fumecheng-7012	228	71	=	=	SYM
fumecheng-7012	228	72			ADJ
fumecheng-7012	228	73	(	(	PUNCT
fumecheng-7012	228	74	26	26	NUM
fumecheng-7012	228	75	)	)	PUNCT
fumecheng-7012	228	76	where	where	SCONJ
fumecheng-7012	228	77	a	a	DET
fumecheng-7012	228	78	a	a	DET
fumecheng-7012	228	79	da=	da=	NOUN
fumecheng-7012	228	80			PUNCT
fumecheng-7012	228	81	represents	represent	VERB
fumecheng-7012	228	82	the	the	DET
fumecheng-7012	228	83	cross	cross	ADJ
fumecheng-7012	228	84	-	-	ADJ
fumecheng-7012	228	85	section	section	ADJ
fumecheng-7012	228	86	area	area	NOUN
fumecheng-7012	228	87	.	.	PUNCT
fumecheng-7012	229	1	the	the	DET
fumecheng-7012	229	2	force	force	NOUN
fumecheng-7012	229	3	-	-	PUNCT
fumecheng-7012	229	4	deformation	deformation	NOUN
fumecheng-7012	229	5	relation	relation	NOUN
fumecheng-7012	229	6	of	of	ADP
fumecheng-7012	229	7	the	the	DET
fumecheng-7012	229	8	axial	axial	ADJ
fumecheng-7012	229	9	force	force	NOUN
fumecheng-7012	229	10	induced	induce	VERB
fumecheng-7012	229	11	by	by	ADP
fumecheng-7012	229	12	the	the	DET
fumecheng-7012	229	13	surface	surface	NOUN
fumecheng-7012	229	14	stress	stress	NOUN
fumecheng-7012	229	15	can	can	AUX
fumecheng-7012	229	16	be	be	AUX
fumecheng-7012	229	17	found	find	VERB
fumecheng-7012	229	18	by	by	ADP
fumecheng-7012	229	19	substituting	substitute	VERB
fumecheng-7012	229	20	the	the	DET
fumecheng-7012	229	21	compatibility	compatibility	NOUN
fumecheng-7012	229	22	condition	condition	NOUN
fumecheng-7012	229	23	eq	eq	ADP
fumecheng-7012	229	24	.	.	PUNCT
fumecheng-7012	230	1	(	(	PUNCT
fumecheng-7012	230	2	13	13	NUM
fumecheng-7012	230	3	)	)	PUNCT
fumecheng-7012	230	4	into	into	ADP
fumecheng-7012	230	5	eq	eq	NOUN
fumecheng-7012	230	6	.	.	PUNCT
fumecheng-7012	231	1	(	(	PUNCT
fumecheng-7012	231	2	9	9	NUM
fumecheng-7012	231	3	)	)	PUNCT
fumecheng-7012	231	4	,	,	PUNCT
fumecheng-7012	231	5	and	and	CCONJ
fumecheng-7012	231	6	considering	consider	VERB
fumecheng-7012	231	7	this	this	PRON
fumecheng-7012	231	8	in	in	ADP
fumecheng-7012	231	9	terms	term	NOUN
fumecheng-7012	231	10	of	of	ADP
fumecheng-7012	231	11	the	the	DET
fumecheng-7012	231	12	axial	axial	ADJ
fumecheng-7012	231	13	resultant	resultant	NOUN
fumecheng-7012	231	14	.	.	PUNCT
fumecheng-7012	232	1	thus	thus	ADV
fumecheng-7012	232	2	,	,	PUNCT
fumecheng-7012	232	3	the	the	DET
fumecheng-7012	232	4	force	force	NOUN
fumecheng-7012	232	5	-	-	PUNCT
fumecheng-7012	232	6	deformation	deformation	NOUN
fumecheng-7012	232	7	relation	relation	NOUN
fumecheng-7012	232	8	of	of	ADP
fumecheng-7012	232	9	surface	surface	NOUN
fumecheng-7012	232	10	surroundings	surrounding	NOUN
fumecheng-7012	232	11	is	be	AUX
fumecheng-7012	232	12	(	(	PUNCT
fumecheng-7012	232	13	)	)	PUNCT
fumecheng-7012	232	14	(	(	PUNCT
fumecheng-7012	232	15	)	)	PUNCT
fumecheng-7012	232	16	x	x	SYM
fumecheng-7012	232	17	sur	sur	PROPN
fumecheng-7012	232	18	sur	sur	PROPN
fumecheng-7012	232	19	u	u	PROPN
fumecheng-7012	232	20	x	x	PROPN
fumecheng-7012	232	21	n	n	PROPN
fumecheng-7012	232	22	x	x	PART
fumecheng-7012	232	23	e	e	NOUN
fumecheng-7012	232	24	x	x	NOUN
fumecheng-7012	232	25			ADJ
fumecheng-7012	232	26	=	=	SYM
fumecheng-7012	232	27			VERB
fumecheng-7012	232	28			ADJ
fumecheng-7012	232	29	(	(	PUNCT
fumecheng-7012	232	30	27	27	NUM
fumecheng-7012	232	31	)	)	PUNCT
fumecheng-7012	232	32	where	where	SCONJ
fumecheng-7012	232	33	d	d	NOUN
fumecheng-7012	232	34			VERB
fumecheng-7012	232	35			VERB
fumecheng-7012	232	36	=	=	PUNCT
fumecheng-7012	232	37			NOUN
fumecheng-7012	232	38	is	be	AUX
fumecheng-7012	232	39	the	the	DET
fumecheng-7012	232	40	section	section	NOUN
fumecheng-7012	232	41	perimeter	perimeter	NOUN
fumecheng-7012	232	42	of	of	ADP
fumecheng-7012	232	43	nanowire	nanowire	NOUN
fumecheng-7012	232	44	.	.	PUNCT
fumecheng-7012	233	1	similarly	similarly	ADV
fumecheng-7012	233	2	,	,	PUNCT
fumecheng-7012	233	3	the	the	DET
fumecheng-7012	233	4	relation	relation	NOUN
fumecheng-7012	233	5	between	between	ADP
fumecheng-7012	233	6	substrate	substrate	NOUN
fumecheng-7012	233	7	interactive	interactive	ADJ
fumecheng-7012	233	8	force	force	NOUN
fumecheng-7012	233	9	dsub(x	dsub(x	ADJ
fumecheng-7012	233	10	)	)	PUNCT
fumecheng-7012	233	11	and	and	CCONJ
fumecheng-7012	233	12	the	the	DET
fumecheng-7012	233	13	substrate	substrate	NOUN
fumecheng-7012	233	14	deformation	deformation	NOUN
fumecheng-7012	233	15	δsub(x	δsub(x	NOUN
fumecheng-7012	233	16	)	)	PUNCT
fumecheng-7012	233	17	can	can	AUX
fumecheng-7012	233	18	be	be	AUX
fumecheng-7012	233	19	expressed	express	VERB
fumecheng-7012	233	20	by	by	ADP
fumecheng-7012	233	21	enforcing	enforce	VERB
fumecheng-7012	233	22	the	the	DET
fumecheng-7012	233	23	compatibility	compatibility	NOUN
fumecheng-7012	233	24	relation	relation	NOUN
fumecheng-7012	233	25	of	of	ADP
fumecheng-7012	233	26	eq	eq	PROPN
fumecheng-7012	233	27	.	.	PUNCT
fumecheng-7012	234	1	(	(	PUNCT
fumecheng-7012	234	2	14	14	NUM
fumecheng-7012	234	3	)	)	PUNCT
fumecheng-7012	234	4	as	as	ADP
fumecheng-7012	234	5	:	:	PUNCT
fumecheng-7012	234	6	(	(	PUNCT
fumecheng-7012	234	7	)	)	PUNCT
fumecheng-7012	234	8	(	(	PUNCT
fumecheng-7012	234	9	)	)	PUNCT
fumecheng-7012	234	10	(	(	PUNCT
fumecheng-7012	234	11	)	)	PUNCT
fumecheng-7012	234	12	sub	sub	NOUN
fumecheng-7012	234	13	s	s	PART
fumecheng-7012	234	14	sub	sub	NOUN
fumecheng-7012	234	15	s	s	PART
fumecheng-7012	234	16	xd	xd	INTJ
fumecheng-7012	234	17	x	x	SYM
fumecheng-7012	234	18	k	k	NOUN
fumecheng-7012	234	19	x	x	X
fumecheng-7012	234	20	k	k	PROPN
fumecheng-7012	234	21	u	u	PROPN
fumecheng-7012	234	22	x=	x=	PROPN
fumecheng-7012	234	23			PUNCT
fumecheng-7012	234	24	=	=	PUNCT
fumecheng-7012	234	25	(	(	PUNCT
fumecheng-7012	234	26	28	28	NUM
fumecheng-7012	234	27	)	)	PUNCT
fumecheng-7012	234	28	where	where	SCONJ
fumecheng-7012	234	29	ks	ks	PROPN
fumecheng-7012	234	30	represents	represent	VERB
fumecheng-7012	234	31	the	the	DET
fumecheng-7012	234	32	elastic	elastic	ADJ
fumecheng-7012	234	33	modulus	modulus	NOUN
fumecheng-7012	234	34	of	of	ADP
fumecheng-7012	234	35	the	the	DET
fumecheng-7012	234	36	substrate	substrate	NOUN
fumecheng-7012	234	37	medium	medium	NOUN
fumecheng-7012	234	38	.	.	PUNCT
fumecheng-7012	235	1	the	the	DET
fumecheng-7012	235	2	compatibility	compatibility	NOUN
fumecheng-7012	235	3	relations	relation	NOUN
fumecheng-7012	235	4	,	,	PUNCT
fumecheng-7012	235	5	equilibrium	equilibrium	NOUN
fumecheng-7012	235	6	equation	equation	NOUN
fumecheng-7012	235	7	,	,	PUNCT
fumecheng-7012	235	8	and	and	CCONJ
fumecheng-7012	235	9	force	force	NOUN
fumecheng-7012	235	10	-	-	PUNCT
fumecheng-7012	235	11	deformation	deformation	NOUN
fumecheng-7012	235	12	relations	relation	NOUN
fumecheng-7012	235	13	of	of	ADP
fumecheng-7012	235	14	the	the	DET
fumecheng-7012	235	15	proposed	propose	VERB
fumecheng-7012	235	16	nanowire	nanowire	ADJ
fumecheng-7012	235	17	element	element	NOUN
fumecheng-7012	235	18	fourth	fourth	ADJ
fumecheng-7012	235	19	-	-	PUNCT
fumecheng-7012	235	20	order	order	NOUN
fumecheng-7012	235	21	strain	strain	NOUN
fumecheng-7012	235	22	gradient	gradient	ADJ
fumecheng-7012	235	23	bar	bar	NOUN
fumecheng-7012	235	24	-	-	PUNCT
fumecheng-7012	235	25	substrate	substrate	NOUN
fumecheng-7012	235	26	model	model	NOUN
fumecheng-7012	235	27	with	with	ADP
fumecheng-7012	235	28	nonlocal	nonlocal	ADJ
fumecheng-7012	235	29	and	and	CCONJ
fumecheng-7012	235	30	surface	surface	NOUN
fumecheng-7012	235	31	effects	effect	NOUN
fumecheng-7012	235	32	...	...	PUNCT
fumecheng-7012	235	33	667	667	NUM
fumecheng-7012	235	34	embedded	embed	VERB
fumecheng-7012	235	35	in	in	ADP
fumecheng-7012	235	36	elastic	elastic	ADJ
fumecheng-7012	235	37	substrate	substrate	NOUN
fumecheng-7012	235	38	media	medium	NOUN
fumecheng-7012	235	39	as	as	SCONJ
fumecheng-7012	235	40	demonstrated	demonstrate	VERB
fumecheng-7012	235	41	above	above	ADV
fumecheng-7012	235	42	,	,	PUNCT
fumecheng-7012	235	43	can	can	AUX
fumecheng-7012	235	44	be	be	AUX
fumecheng-7012	235	45	conveniently	conveniently	ADV
fumecheng-7012	235	46	summarized	summarize	VERB
fumecheng-7012	235	47	for	for	ADP
fumecheng-7012	235	48	the	the	DET
fumecheng-7012	235	49	whole	whole	ADJ
fumecheng-7012	235	50	model	model	NOUN
fumecheng-7012	235	51	formulation	formulation	NOUN
fumecheng-7012	235	52	in	in	ADP
fumecheng-7012	235	53	a	a	DET
fumecheng-7012	235	54	tonti	tonti	ADJ
fumecheng-7012	235	55	’s	’s	NOUN
fumecheng-7012	235	56	diagram	diagram	NOUN
fumecheng-7012	235	57	[	[	X
fumecheng-7012	235	58	56	56	NUM
fumecheng-7012	235	59	]	]	PUNCT
fumecheng-7012	235	60	,	,	PUNCT
fumecheng-7012	235	61	as	as	SCONJ
fumecheng-7012	235	62	shown	show	VERB
fumecheng-7012	235	63	fig	fig	NOUN
fumecheng-7012	235	64	.	.	PUNCT
fumecheng-7012	236	1	3	3	X
fumecheng-7012	236	2	.	.	X
fumecheng-7012	236	3	fig	fig	NOUN
fumecheng-7012	236	4	.	.	PUNCT
fumecheng-7012	237	1	3	3	NUM
fumecheng-7012	237	2	tonti	tonti	VERB
fumecheng-7012	237	3	’s	’s	PART
fumecheng-7012	237	4	diagram	diagram	NOUN
fumecheng-7012	237	5	for	for	ADP
fumecheng-7012	237	6	the	the	DET
fumecheng-7012	237	7	fourth	fourth	ADJ
fumecheng-7012	237	8	-	-	PUNCT
fumecheng-7012	237	9	order	order	NOUN
fumecheng-7012	237	10	nonlocal	nonlocal	ADJ
fumecheng-7012	237	11	strain	strain	NOUN
fumecheng-7012	237	12	gradient	gradient	NOUN
fumecheng-7012	237	13	model	model	NOUN
fumecheng-7012	237	14	of	of	ADP
fumecheng-7012	237	15	nanowire	nanowire	NOUN
fumecheng-7012	237	16	embedded	embed	VERB
fumecheng-7012	237	17	in	in	ADP
fumecheng-7012	237	18	elastic	elastic	ADJ
fumecheng-7012	237	19	substrate	substrate	NOUN
fumecheng-7012	237	20	4.4	4.4	NUM
fumecheng-7012	237	21	.	.	PUNCT
fumecheng-7012	238	1	“	"	PUNCT
fumecheng-7012	238	2	exact	exact	ADJ
fumecheng-7012	238	3	”	"	PUNCT
fumecheng-7012	238	4	displacement	displacement	ADJ
fumecheng-7012	238	5	shape	shape	NOUN
fumecheng-7012	238	6	functions	function	NOUN
fumecheng-7012	238	7	according	accord	VERB
fumecheng-7012	238	8	to	to	ADP
fumecheng-7012	238	9	the	the	DET
fumecheng-7012	238	10	force	force	NOUN
fumecheng-7012	238	11	-	-	PUNCT
fumecheng-7012	238	12	deformation	deformation	NOUN
fumecheng-7012	238	13	relations	relation	NOUN
fumecheng-7012	238	14	in	in	ADP
fumecheng-7012	238	15	eqs	eqs	PROPN
fumecheng-7012	238	16	.	.	PUNCT
fumecheng-7012	239	1	(	(	PUNCT
fumecheng-7012	239	2	24	24	NUM
fumecheng-7012	239	3	)	)	PUNCT
fumecheng-7012	239	4	to	to	ADP
fumecheng-7012	239	5	(	(	PUNCT
fumecheng-7012	239	6	28	28	NUM
fumecheng-7012	239	7	)	)	PUNCT
fumecheng-7012	239	8	,	,	PUNCT
fumecheng-7012	239	9	the	the	DET
fumecheng-7012	239	10	governing	govern	VERB
fumecheng-7012	239	11	differential	differential	ADJ
fumecheng-7012	239	12	equilibrium	equilibrium	NOUN
fumecheng-7012	239	13	equation	equation	NOUN
fumecheng-7012	239	14	in	in	ADP
fumecheng-7012	239	15	eq	eq	ADP
fumecheng-7012	239	16	.	.	PUNCT
fumecheng-7012	240	1	(	(	PUNCT
fumecheng-7012	240	2	22	22	NUM
fumecheng-7012	240	3	)	)	PUNCT
fumecheng-7012	240	4	can	can	AUX
fumecheng-7012	240	5	be	be	AUX
fumecheng-7012	240	6	rewritten	rewrite	VERB
fumecheng-7012	240	7	in	in	ADP
fumecheng-7012	240	8	terms	term	NOUN
fumecheng-7012	240	9	of	of	ADP
fumecheng-7012	240	10	the	the	DET
fumecheng-7012	240	11	axial	axial	ADJ
fumecheng-7012	240	12	displacement	displacement	NOUN
fumecheng-7012	240	13	ux(x	ux(x	ADV
fumecheng-7012	240	14	)	)	PUNCT
fumecheng-7012	240	15	as	as	ADP
fumecheng-7012	240	16	:	:	PUNCT
fumecheng-7012	240	17	6	6	NUM
fumecheng-7012	240	18	4	4	NUM
fumecheng-7012	240	19	2	2	NUM
fumecheng-7012	240	20	4	4	NUM
fumecheng-7012	240	21	2	2	NUM
fumecheng-7012	240	22	0	0	NUM
fumecheng-7012	240	23	06	06	NUM
fumecheng-7012	240	24	4	4	NUM
fumecheng-7012	240	25	2	2	NUM
fumecheng-7012	240	26	(	(	PUNCT
fumecheng-7012	240	27	)	)	PUNCT
fumecheng-7012	240	28	(	(	PUNCT
fumecheng-7012	240	29	)	)	PUNCT
fumecheng-7012	240	30	(	(	PUNCT
fumecheng-7012	240	31	)	)	PUNCT
fumecheng-7012	240	32	(	(	PUNCT
fumecheng-7012	240	33	)	)	PUNCT
fumecheng-7012	240	34	(	(	PUNCT
fumecheng-7012	240	35	)	)	PUNCT
fumecheng-7012	240	36	(	(	PUNCT
fumecheng-7012	240	37	)	)	PUNCT
fumecheng-7012	240	38	(	(	PUNCT
fumecheng-7012	240	39	)	)	PUNCT
fumecheng-7012	240	40	(	(	PUNCT
fumecheng-7012	240	41	)	)	PUNCT
fumecheng-7012	240	42	x	x	SYM
fumecheng-7012	241	1	x	x	PUNCT
fumecheng-7012	241	2	x	x	X
fumecheng-7012	241	3	xx	xx	NUM
fumecheng-7012	241	4	xx	xx	NUM
fumecheng-7012	242	1	xx	xx	NUM
fumecheng-7012	243	1	eff	eff	PROPN
fumecheng-7012	243	2	s	s	PART
fumecheng-7012	243	3	x	x	PUNCT
fumecheng-7012	243	4	x	x	PUNCT
fumecheng-7012	243	5	u	u	NOUN
fumecheng-7012	243	6	x	x	X
fumecheng-7012	243	7	u	u	NOUN
fumecheng-7012	243	8	x	x	X
fumecheng-7012	243	9	u	u	NOUN
fumecheng-7012	243	10	x	x	X
fumecheng-7012	243	11	e	e	X
fumecheng-7012	243	12	a	a	X
fumecheng-7012	243	13	e	e	X
fumecheng-7012	243	14	a	a	X
fumecheng-7012	243	15	e	e	NOUN
fumecheng-7012	243	16	a	a	X
fumecheng-7012	243	17	e	e	NOUN
fumecheng-7012	243	18	a	a	DET
fumecheng-7012	243	19	e	e	NOUN
fumecheng-7012	243	20	a	a	X
fumecheng-7012	243	21	k	k	X
fumecheng-7012	243	22	u	u	NOUN
fumecheng-7012	243	23	x	x	X
fumecheng-7012	243	24	p	p	X
fumecheng-7012	243	25	x	x	X
fumecheng-7012	243	26	x	x	SYM
fumecheng-7012	243	27	x	x	SYM
fumecheng-7012	243	28	x	x	SYM
fumecheng-7012	243	29			ADJ
fumecheng-7012	243	30			ADJ
fumecheng-7012	243	31			PROPN
fumecheng-7012	243	32	−	−	PROPN
fumecheng-7012	244	1	+	+	CCONJ
fumecheng-7012	244	2	−	−	PROPN
fumecheng-7012	244	3	+	+	CCONJ
fumecheng-7012	244	4	=	=	NOUN
fumecheng-7012	244	5			ADJ
fumecheng-7012	244	6			ADJ
fumecheng-7012	244	7			PROPN
fumecheng-7012	244	8	(	(	PUNCT
fumecheng-7012	244	9	29	29	NUM
fumecheng-7012	244	10	)	)	PUNCT
fumecheng-7012	244	11	where	where	SCONJ
fumecheng-7012	244	12	(	(	PUNCT
fumecheng-7012	244	13	exxa)eff	exxa)eff	NOUN
fumecheng-7012	244	14	=	=	PUNCT
fumecheng-7012	244	15	exxa	exxa	ADJ
fumecheng-7012	244	16	+	+	CCONJ
fumecheng-7012	244	17	esurγ	esurγ	ADV
fumecheng-7012	244	18	represents	represent	VERB
fumecheng-7012	244	19	the	the	DET
fumecheng-7012	244	20	effective	effective	ADJ
fumecheng-7012	244	21	nanowire	nanowire	ADJ
fumecheng-7012	244	22	stiffness	stiffness	NOUN
fumecheng-7012	244	23	accounting	accounting	NOUN
fumecheng-7012	244	24	for	for	ADP
fumecheng-7012	244	25	the	the	DET
fumecheng-7012	244	26	contribution	contribution	NOUN
fumecheng-7012	244	27	of	of	ADP
fumecheng-7012	244	28	the	the	DET
fumecheng-7012	244	29	solid	solid	ADJ
fumecheng-7012	244	30	core	core	NOUN
fumecheng-7012	244	31	and	and	CCONJ
fumecheng-7012	244	32	the	the	DET
fumecheng-7012	244	33	outer	outer	ADJ
fumecheng-7012	244	34	surface	surface	NOUN
fumecheng-7012	244	35	.	.	PUNCT
fumecheng-7012	245	1	the	the	DET
fumecheng-7012	245	2	effective	effective	ADJ
fumecheng-7012	245	3	nanowire	nanowire	ADJ
fumecheng-7012	245	4	stiffnesses	stiffness	NOUN
fumecheng-7012	245	5	(	(	PUNCT
fumecheng-7012	245	6	exxa)eff	exxa)eff	VERB
fumecheng-7012	245	7	for	for	ADP
fumecheng-7012	245	8	circular	circular	ADJ
fumecheng-7012	245	9	and	and	CCONJ
fumecheng-7012	245	10	rectangular	rectangular	ADJ
fumecheng-7012	245	11	sections	section	NOUN
fumecheng-7012	245	12	are	be	AUX
fumecheng-7012	245	13	given	give	VERB
fumecheng-7012	245	14	by	by	ADP
fumecheng-7012	245	15	juntarasaid	juntarasaid	PROPN
fumecheng-7012	245	16	et	et	PROPN
fumecheng-7012	245	17	al	al	PROPN
fumecheng-7012	245	18	.	.	PUNCT
fumecheng-7012	246	1	[	[	X
fumecheng-7012	246	2	57	57	NUM
fumecheng-7012	246	3	]	]	PUNCT
fumecheng-7012	246	4	as	as	ADP
fumecheng-7012	246	5	:	:	PUNCT
fumecheng-7012	246	6	2	2	NUM
fumecheng-7012	246	7	(	(	PUNCT
fumecheng-7012	246	8	)	)	PUNCT
fumecheng-7012	246	9	for	for	ADP
fumecheng-7012	246	10	circular	circular	ADJ
fumecheng-7012	246	11	section	section	NOUN
fumecheng-7012	246	12	4	4	NUM
fumecheng-7012	246	13	(	(	PUNCT
fumecheng-7012	246	14	)	)	PUNCT
fumecheng-7012	246	15	2	2	NUM
fumecheng-7012	246	16	(	(	PUNCT
fumecheng-7012	246	17	)	)	PUNCT
fumecheng-7012	246	18	for	for	ADP
fumecheng-7012	246	19	rectangular	rectangular	ADJ
fumecheng-7012	246	20	section	section	NOUN
fumecheng-7012	246	21	xx	xx	NUM
fumecheng-7012	247	1	eff	eff	PROPN
fumecheng-7012	247	2	xx	xx	PROPN
fumecheng-7012	248	1	sur	sur	PROPN
fumecheng-7012	248	2	xx	xx	NUM
fumecheng-7012	249	1	eff	eff	PROPN
fumecheng-7012	249	2	xx	xx	NUM
fumecheng-7012	250	1	sur	sur	PROPN
fumecheng-7012	250	2	e	e	PROPN
fumecheng-7012	250	3	a	a	X
fumecheng-7012	250	4	e	e	X
fumecheng-7012	250	5	d	d	X
fumecheng-7012	250	6	e	e	X
fumecheng-7012	250	7	d	d	X
fumecheng-7012	250	8	e	e	PROPN
fumecheng-7012	250	9	a	a	DET
fumecheng-7012	250	10	e	e	X
fumecheng-7012	250	11	bh	bh	NOUN
fumecheng-7012	250	12	e	e	PROPN
fumecheng-7012	250	13	b	b	PROPN
fumecheng-7012	250	14	h	h	NOUN
fumecheng-7012	250	15	=	=	PUNCT
fumecheng-7012	251	1	+	+	PUNCT
fumecheng-7012	251	2	=	=	SYM
fumecheng-7012	252	1	+	+	PUNCT
fumecheng-7012	252	2	+	+	CCONJ
fumecheng-7012	252	3			ADJ
fumecheng-7012	252	4			ADJ
fumecheng-7012	252	5	(	(	PUNCT
fumecheng-7012	252	6	30	30	NUM
fumecheng-7012	252	7	)	)	PUNCT
fumecheng-7012	252	8	prescribed	prescribe	VERB
fumecheng-7012	252	9	end	end	NOUN
fumecheng-7012	252	10	displacements	displacement	NOUN
fumecheng-7012	252	11	(	(	PUNCT
fumecheng-7012	252	12	)	)	PUNCT
fumecheng-7012	252	13	xp	xp	NOUN
fumecheng-7012	252	14	x	x	NOUN
fumecheng-7012	252	15	compatibility	compatibility	NOUN
fumecheng-7012	252	16	(	(	PUNCT
fumecheng-7012	252	17	)	)	PUNCT
fumecheng-7012	252	18	(	(	PUNCT
fumecheng-7012	252	19	)	)	PUNCT
fumecheng-7012	252	20	(	(	PUNCT
fumecheng-7012	252	21	)	)	PUNCT
fumecheng-7012	252	22	(	(	PUNCT
fumecheng-7012	252	23	)	)	PUNCT
fumecheng-7012	252	24	(	(	PUNCT
fumecheng-7012	252	25	)	)	PUNCT
fumecheng-7012	252	26	(	(	PUNCT
fumecheng-7012	252	27	)	)	PUNCT
fumecheng-7012	252	28	3	3	NUM
fumecheng-7012	252	29	2	2	NUM
fumecheng-7012	252	30	2	2	NUM
fumecheng-7012	252	31	1	1	NUM
fumecheng-7012	252	32	0	0	NUM
fumecheng-7012	252	33	3	3	NUM
fumecheng-7012	252	34	2	2	NUM
fumecheng-7012	252	35	0	0	NUM
fumecheng-7012	252	36	sur	sur	NOUN
fumecheng-7012	252	37	sub	sub	NOUN
fumecheng-7012	252	38	x	x	PUNCT
fumecheng-7012	252	39	n	n	CCONJ
fumecheng-7012	252	40	x	x	SYM
fumecheng-7012	252	41	n	n	PROPN
fumecheng-7012	252	42	x	x	SYM
fumecheng-7012	252	43	n	n	NOUN
fumecheng-7012	252	44	x	x	SYM
fumecheng-7012	252	45	x	x	PUNCT
fumecheng-7012	252	46	x	x	PUNCT
fumecheng-7012	252	47	x	x	SYM
fumecheng-7012	252	48	n	n	NOUN
fumecheng-7012	252	49	x	x	SYM
fumecheng-7012	252	50	d	d	NOUN
fumecheng-7012	252	51	x	x	X
fumecheng-7012	252	52	p	p	X
fumecheng-7012	252	53	x	x	X
fumecheng-7012	252	54	x	x	SYM
fumecheng-7012	252	55			ADJ
fumecheng-7012	252	56			ADJ
fumecheng-7012	252	57			PROPN
fumecheng-7012	252	58	−	−	PROPN
fumecheng-7012	253	1	+	+	CCONJ
fumecheng-7012	254	1	−	−	PROPN
fumecheng-7012	254	2			ADJ
fumecheng-7012	254	3			ADJ
fumecheng-7012	254	4			ADJ
fumecheng-7012	254	5			PROPN
fumecheng-7012	254	6	−	−	PROPN
fumecheng-7012	254	7	+	+	CCONJ
fumecheng-7012	254	8	−	−	PROPN
fumecheng-7012	254	9	=	=	SYM
fumecheng-7012	254	10			ADJ
fumecheng-7012	254	11	equilibrium	equilibrium	NOUN
fumecheng-7012	254	12	(	(	PUNCT
fumecheng-7012	254	13	)	)	PUNCT
fumecheng-7012	254	14	(	(	PUNCT
fumecheng-7012	254	15	)	)	PUNCT
fumecheng-7012	254	16	(	(	PUNCT
fumecheng-7012	254	17	)	)	PUNCT
fumecheng-7012	254	18	(	(	PUNCT
fumecheng-7012	254	19	)	)	PUNCT
fumecheng-7012	254	20	(	(	PUNCT
fumecheng-7012	254	21	)	)	PUNCT
fumecheng-7012	254	22	(	(	PUNCT
fumecheng-7012	254	23	)	)	PUNCT
fumecheng-7012	254	24	(	(	PUNCT
fumecheng-7012	254	25	)	)	PUNCT
fumecheng-7012	254	26	(	(	PUNCT
fumecheng-7012	254	27	)	)	PUNCT
fumecheng-7012	254	28	(	(	PUNCT
fumecheng-7012	254	29	)	)	PUNCT
fumecheng-7012	254	30	(	(	PUNCT
fumecheng-7012	254	31	)	)	PUNCT
fumecheng-7012	254	32	(	(	PUNCT
fumecheng-7012	254	33	)	)	PUNCT
fumecheng-7012	254	34	(	(	PUNCT
fumecheng-7012	254	35	)	)	PUNCT
fumecheng-7012	254	36	(	(	PUNCT
fumecheng-7012	254	37	)	)	PUNCT
fumecheng-7012	254	38	2	2	NUM
fumecheng-7012	254	39	1	1	NUM
fumecheng-7012	254	40	2	2	NUM
fumecheng-7012	254	41	2	2	NUM
fumecheng-7012	254	42	3	3	NUM
fumecheng-7012	254	43	2	2	NUM
fumecheng-7012	254	44	2	2	NUM
fumecheng-7012	254	45	3	3	NUM
fumecheng-7012	254	46	;	;	PUNCT
fumecheng-7012	254	47	;	;	PUNCT
fumecheng-7012	254	48	x	x	X
fumecheng-7012	254	49	xx	xx	NUM
fumecheng-7012	254	50	x	x	SYM
fumecheng-7012	255	1	xx	xx	NUM
fumecheng-7012	255	2	xx	xx	NUM
fumecheng-7012	255	3	x	x	PUNCT
fumecheng-7012	255	4	sur	sur	PROPN
fumecheng-7012	255	5	x	x	PUNCT
fumecheng-7012	255	6	sur	sur	NOUN
fumecheng-7012	255	7	sub	sub	NOUN
fumecheng-7012	255	8	x	x	PUNCT
fumecheng-7012	255	9	u	u	NOUN
fumecheng-7012	255	10	x	x	X
fumecheng-7012	255	11	x	x	PUNCT
fumecheng-7012	255	12	u	u	NOUN
fumecheng-7012	255	13	x	x	NOUN
fumecheng-7012	255	14	x	x	PUNCT
fumecheng-7012	255	15	x	x	PUNCT
fumecheng-7012	255	16	x	x	PUNCT
fumecheng-7012	255	17	x	x	PUNCT
fumecheng-7012	255	18	x	x	PUNCT
fumecheng-7012	255	19	x	x	PUNCT
fumecheng-7012	255	20	u	u	NOUN
fumecheng-7012	255	21	x	x	NOUN
fumecheng-7012	255	22	x	x	PUNCT
fumecheng-7012	255	23	x	x	SYM
fumecheng-7012	255	24	x	x	PUNCT
fumecheng-7012	255	25	u	u	NOUN
fumecheng-7012	255	26	x	x	X
fumecheng-7012	255	27	u	u	NOUN
fumecheng-7012	255	28	x	x	NOUN
fumecheng-7012	255	29	x	x	PUNCT
fumecheng-7012	255	30	x	x	PUNCT
fumecheng-7012	255	31	u	u	NOUN
fumecheng-7012	255	32	x	x	NOUN
fumecheng-7012	255	33	x	x	X
fumecheng-7012	255	34	x	x	SYM
fumecheng-7012	255	35			ADJ
fumecheng-7012	255	36			ADJ
fumecheng-7012	255	37			ADJ
fumecheng-7012	255	38	=	=	SYM
fumecheng-7012	255	39	=	=	SYM
fumecheng-7012	255	40	=	=	SYM
fumecheng-7012	255	41			ADJ
fumecheng-7012	255	42			ADJ
fumecheng-7012	255	43			ADJ
fumecheng-7012	255	44			ADJ
fumecheng-7012	255	45			ADJ
fumecheng-7012	255	46	=	=	SYM
fumecheng-7012	255	47	=	=	SYM
fumecheng-7012	255	48			ADJ
fumecheng-7012	255	49			ADJ
fumecheng-7012	255	50			ADJ
fumecheng-7012	255	51			NOUN
fumecheng-7012	255	52	=	=	SYM
fumecheng-7012	255	53	=	=	SYM
fumecheng-7012	255	54			X
fumecheng-7012	255	55	=	=	SYM
fumecheng-7012	255	56			ADJ
fumecheng-7012	255	57			ADJ
fumecheng-7012	255	58			PROPN
fumecheng-7012	255	59			PROPN
fumecheng-7012	255	60			PROPN
fumecheng-7012	255	61			PROPN
fumecheng-7012	255	62			PROPN
fumecheng-7012	255	63			PROPN
fumecheng-7012	255	64	material	material	NOUN
fumecheng-7012	255	65	constitutive	constitutive	ADJ
fumecheng-7012	255	66	(	(	PUNCT
fumecheng-7012	255	67	)	)	PUNCT
fumecheng-7012	255	68	(	(	PUNCT
fumecheng-7012	255	69	)	)	PUNCT
fumecheng-7012	255	70	(	(	PUNCT
fumecheng-7012	255	71	)	)	PUNCT
fumecheng-7012	255	72	(	(	PUNCT
fumecheng-7012	255	73	)	)	PUNCT
fumecheng-7012	255	74	(	(	PUNCT
fumecheng-7012	255	75	)	)	PUNCT
fumecheng-7012	255	76	1	1	NUM
fumecheng-7012	255	77	2	2	NUM
fumecheng-7012	255	78	,	,	PUNCT
fumecheng-7012	255	79	,	,	PUNCT
fumecheng-7012	255	80	,	,	PUNCT
fumecheng-7012	255	81	xx	xx	NUM
fumecheng-7012	255	82	sur	sur	PROPN
fumecheng-7012	255	83	sub	sub	NOUN
fumecheng-7012	255	84	x	x	PUNCT
fumecheng-7012	255	85	x	x	PUNCT
fumecheng-7012	255	86	x	x	PUNCT
fumecheng-7012	255	87	x	x	PUNCT
fumecheng-7012	255	88	x	x	PROPN
fumecheng-7012	255	89			PROPN
fumecheng-7012	255	90			PROPN
fumecheng-7012	255	91			PROPN
fumecheng-7012	255	92			PROPN
fumecheng-7012	255	93	(	(	PUNCT
fumecheng-7012	255	94	)	)	PUNCT
fumecheng-7012	255	95	xu	xu	PROPN
fumecheng-7012	255	96	x	x	SYM
fumecheng-7012	255	97	natural	natural	ADJ
fumecheng-7012	255	98	bcs	bcs	NOUN
fumecheng-7012	255	99	prescribed	prescribe	VERB
fumecheng-7012	255	100	end	end	NOUN
fumecheng-7012	255	101	forces	force	NOUN
fumecheng-7012	255	102	essential	essential	ADJ
fumecheng-7012	255	103	bcs	bc	NOUN
fumecheng-7012	255	104	(	(	PUNCT
fumecheng-7012	255	105	)	)	PUNCT
fumecheng-7012	255	106	(	(	PUNCT
fumecheng-7012	255	107	)	)	PUNCT
fumecheng-7012	255	108	(	(	PUNCT
fumecheng-7012	255	109	)	)	PUNCT
fumecheng-7012	255	110	(	(	PUNCT
fumecheng-7012	255	111	)	)	PUNCT
fumecheng-7012	255	112	(	(	PUNCT
fumecheng-7012	255	113	)	)	PUNCT
fumecheng-7012	255	114	(	(	PUNCT
fumecheng-7012	255	115	)	)	PUNCT
fumecheng-7012	255	116	(	(	PUNCT
fumecheng-7012	255	117	)	)	PUNCT
fumecheng-7012	255	118	(	(	PUNCT
fumecheng-7012	255	119	)	)	PUNCT
fumecheng-7012	255	120	(	(	PUNCT
fumecheng-7012	255	121	)	)	PUNCT
fumecheng-7012	255	122	(	(	PUNCT
fumecheng-7012	255	123	)	)	PUNCT
fumecheng-7012	255	124	(	(	PUNCT
fumecheng-7012	255	125	)	)	PUNCT
fumecheng-7012	255	126	(	(	PUNCT
fumecheng-7012	255	127	)	)	PUNCT
fumecheng-7012	255	128	(	(	PUNCT
fumecheng-7012	255	129	)	)	PUNCT
fumecheng-7012	255	130	(	(	PUNCT
fumecheng-7012	255	131	)	)	PUNCT
fumecheng-7012	255	132	(	(	PUNCT
fumecheng-7012	255	133	)	)	PUNCT
fumecheng-7012	255	134	(	(	PUNCT
fumecheng-7012	255	135	)	)	PUNCT
fumecheng-7012	255	136	0	0	NUM
fumecheng-7012	256	1	2	2	NUM
fumecheng-7012	256	2	1	1	NUM
fumecheng-7012	256	3	0	0	NUM
fumecheng-7012	256	4	1	1	NUM
fumecheng-7012	256	5	4	4	NUM
fumecheng-7012	256	6	2	2	NUM
fumecheng-7012	256	7	0	0	NUM
fumecheng-7012	256	8	2	2	NUM
fumecheng-7012	256	9	xx	xx	NUM
fumecheng-7012	256	10	xx	xx	NUM
fumecheng-7012	256	11	sur	sur	PROPN
fumecheng-7012	256	12	sur	sur	PROPN
fumecheng-7012	256	13	sur	sur	PROPN
fumecheng-7012	257	1	xx	xx	NUM
fumecheng-7012	257	2	xx	xx	NUM
fumecheng-7012	257	3	sub	sub	NOUN
fumecheng-7012	257	4	s	s	PART
fumecheng-7012	257	5	sub	sub	NOUN
fumecheng-7012	257	6	n	n	ADV
fumecheng-7012	257	7	x	x	PUNCT
fumecheng-7012	257	8	e	e	NOUN
fumecheng-7012	257	9	a	a	X
fumecheng-7012	257	10	x	x	SYM
fumecheng-7012	257	11	n	n	NOUN
fumecheng-7012	257	12	x	x	PART
fumecheng-7012	257	13	e	e	NOUN
fumecheng-7012	257	14	x	x	PROPN
fumecheng-7012	257	15	n	n	PROPN
fumecheng-7012	257	16	x	x	X
fumecheng-7012	257	17	e	e	X
fumecheng-7012	257	18	a	a	X
fumecheng-7012	257	19	e	e	NOUN
fumecheng-7012	257	20	a	a	NOUN
fumecheng-7012	257	21	x	x	SYM
fumecheng-7012	257	22	n	n	NOUN
fumecheng-7012	257	23	x	x	PUNCT
fumecheng-7012	257	24	e	e	X
fumecheng-7012	257	25	a	a	X
fumecheng-7012	257	26	e	e	NOUN
fumecheng-7012	257	27	a	a	X
fumecheng-7012	257	28	x	x	X
fumecheng-7012	257	29	d	d	NOUN
fumecheng-7012	257	30	x	x	X
fumecheng-7012	257	31	k	k	NOUN
fumecheng-7012	257	32	x	x	PUNCT
fumecheng-7012	257	33	=	=	PUNCT
fumecheng-7012	257	34	=	=	PUNCT
fumecheng-7012	257	35			VERB
fumecheng-7012	257	36	=	=	SYM
fumecheng-7012	257	37	=	=	PUNCT
fumecheng-7012	257	38	=	=	PUNCT
fumecheng-7012	257	39			NOUN
fumecheng-7012	257	40			PROPN
fumecheng-7012	257	41			PROPN
fumecheng-7012	257	42			PROPN
fumecheng-7012	257	43			PROPN
fumecheng-7012	257	44	(	(	PUNCT
fumecheng-7012	257	45	)	)	PUNCT
fumecheng-7012	257	46	(	(	PUNCT
fumecheng-7012	257	47	)	)	PUNCT
fumecheng-7012	257	48	(	(	PUNCT
fumecheng-7012	257	49	)	)	PUNCT
fumecheng-7012	257	50	(	(	PUNCT
fumecheng-7012	257	51	)	)	PUNCT
fumecheng-7012	257	52	(	(	PUNCT
fumecheng-7012	257	53	)	)	PUNCT
fumecheng-7012	257	54	0	0	NUM
fumecheng-7012	257	55	1	1	NUM
fumecheng-7012	257	56	2	2	NUM
fumecheng-7012	257	57	,	,	PUNCT
fumecheng-7012	257	58	,	,	PUNCT
fumecheng-7012	257	59	,	,	PUNCT
fumecheng-7012	257	60	sur	sur	PROPN
fumecheng-7012	257	61	sub	sub	NOUN
fumecheng-7012	257	62	n	n	NOUN
fumecheng-7012	257	63	x	x	SYM
fumecheng-7012	257	64	n	n	PROPN
fumecheng-7012	257	65	x	x	SYM
fumecheng-7012	257	66	n	n	PROPN
fumecheng-7012	257	67	x	x	SYM
fumecheng-7012	257	68	n	n	NOUN
fumecheng-7012	257	69	x	x	SYM
fumecheng-7012	257	70	d	d	NOUN
fumecheng-7012	257	71	x	x	SYM
fumecheng-7012	257	72	668	668	NUM
fumecheng-7012	257	73	w.	w.	PROPN
fumecheng-7012	257	74	sae	sae	PROPN
fumecheng-7012	257	75	-	-	PROPN
fumecheng-7012	257	76	long	long	ADV
fumecheng-7012	257	77	,	,	PUNCT
fumecheng-7012	257	78	s.	s.	PROPN
fumecheng-7012	257	79	limkatanyu	limkatanyu	PROPN
fumecheng-7012	257	80	,	,	PUNCT
fumecheng-7012	257	81	p.	p.	NOUN
fumecheng-7012	257	82	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	257	83	,	,	PUNCT
fumecheng-7012	257	84	et	et	PROPN
fumecheng-7012	257	85	al	al	PROPN
fumecheng-7012	257	86	.	.	PUNCT
fumecheng-7012	258	1	where	where	SCONJ
fumecheng-7012	258	2	d	d	NOUN
fumecheng-7012	258	3	is	be	AUX
fumecheng-7012	258	4	the	the	DET
fumecheng-7012	258	5	diameter	diameter	NOUN
fumecheng-7012	258	6	of	of	ADP
fumecheng-7012	258	7	circular	circular	ADJ
fumecheng-7012	258	8	nanowire	nanowire	ADJ
fumecheng-7012	258	9	cross	cross	NOUN
fumecheng-7012	258	10	-	-	NOUN
fumecheng-7012	258	11	section	section	NOUN
fumecheng-7012	258	12	;	;	PUNCT
fumecheng-7012	258	13	and	and	CCONJ
fumecheng-7012	258	14	b	b	NOUN
fumecheng-7012	258	15	and	and	CCONJ
fumecheng-7012	258	16	h	h	NOUN
fumecheng-7012	258	17	are	be	AUX
fumecheng-7012	258	18	,	,	PUNCT
fumecheng-7012	258	19	respectively	respectively	ADV
fumecheng-7012	258	20	,	,	PUNCT
fumecheng-7012	258	21	the	the	DET
fumecheng-7012	258	22	width	width	NOUN
fumecheng-7012	258	23	and	and	CCONJ
fumecheng-7012	258	24	height	height	NOUN
fumecheng-7012	258	25	of	of	ADP
fumecheng-7012	258	26	a	a	DET
fumecheng-7012	258	27	rectangular	rectangular	ADJ
fumecheng-7012	258	28	section	section	NOUN
fumecheng-7012	258	29	.	.	PUNCT
fumecheng-7012	259	1	it	it	PRON
fumecheng-7012	259	2	needs	need	VERB
fumecheng-7012	259	3	to	to	PART
fumecheng-7012	259	4	be	be	AUX
fumecheng-7012	259	5	pointed	point	VERB
fumecheng-7012	259	6	out	out	ADP
fumecheng-7012	259	7	that	that	SCONJ
fumecheng-7012	259	8	the	the	DET
fumecheng-7012	259	9	sixth	sixth	ADJ
fumecheng-7012	259	10	-	-	PUNCT
fumecheng-7012	259	11	order	order	NOUN
fumecheng-7012	259	12	governing	govern	VERB
fumecheng-7012	259	13	differential	differential	ADJ
fumecheng-7012	259	14	equilibrium	equilibrium	NOUN
fumecheng-7012	259	15	equation	equation	NOUN
fumecheng-7012	259	16	in	in	ADP
fumecheng-7012	259	17	eq	eq	ADP
fumecheng-7012	259	18	.	.	PUNCT
fumecheng-7012	260	1	(	(	PUNCT
fumecheng-7012	260	2	29	29	NUM
fumecheng-7012	260	3	)	)	PUNCT
fumecheng-7012	260	4	represents	represent	VERB
fumecheng-7012	260	5	the	the	DET
fumecheng-7012	260	6	state	state	NOUN
fumecheng-7012	260	7	equilibrium	equilibrium	NOUN
fumecheng-7012	260	8	for	for	ADP
fumecheng-7012	260	9	the	the	DET
fumecheng-7012	260	10	fourth	fourth	ADJ
fumecheng-7012	260	11	-	-	PUNCT
fumecheng-7012	260	12	order	order	NOUN
fumecheng-7012	260	13	strain	strain	NOUN
fumecheng-7012	260	14	gradient	gradient	NOUN
fumecheng-7012	260	15	model	model	NOUN
fumecheng-7012	260	16	of	of	ADP
fumecheng-7012	260	17	the	the	DET
fumecheng-7012	260	18	nanowire	nanowire	NOUN
fumecheng-7012	260	19	embedded	embed	VERB
fumecheng-7012	260	20	in	in	ADP
fumecheng-7012	260	21	elastic	elastic	ADJ
fumecheng-7012	260	22	substrate	substrate	NOUN
fumecheng-7012	260	23	,	,	PUNCT
fumecheng-7012	260	24	with	with	ADP
fumecheng-7012	260	25	inclusion	inclusion	NOUN
fumecheng-7012	260	26	of	of	ADP
fumecheng-7012	260	27	the	the	DET
fumecheng-7012	260	28	surface	surface	NOUN
fumecheng-7012	260	29	energy	energy	NOUN
fumecheng-7012	260	30	effect	effect	NOUN
fumecheng-7012	260	31	.	.	PUNCT
fumecheng-7012	261	1	when	when	SCONJ
fumecheng-7012	261	2	the	the	DET
fumecheng-7012	261	3	third	third	ADJ
fumecheng-7012	261	4	term	term	NOUN
fumecheng-7012	261	5	of	of	ADP
fumecheng-7012	261	6	the	the	DET
fumecheng-7012	261	7	nonlocal	nonlocal	ADJ
fumecheng-7012	261	8	strain	strain	NOUN
fumecheng-7012	261	9	gradient	gradient	NOUN
fumecheng-7012	261	10	model	model	NOUN
fumecheng-7012	261	11	in	in	ADP
fumecheng-7012	261	12	eq	eq	PROPN
fumecheng-7012	261	13	.	.	PUNCT
fumecheng-7012	261	14	(	(	PUNCT
fumecheng-7012	261	15	22	22	NUM
fumecheng-7012	261	16	)	)	PUNCT
fumecheng-7012	261	17	vanishes	vanish	VERB
fumecheng-7012	261	18	(	(	PUNCT
fumecheng-7012	261	19	n2(x	n2(x	NOUN
fumecheng-7012	261	20	)	)	PUNCT
fumecheng-7012	261	21	=	=	SYM
fumecheng-7012	261	22	0	0	NUM
fumecheng-7012	261	23	)	)	PUNCT
fumecheng-7012	261	24	,	,	PUNCT
fumecheng-7012	261	25	the	the	DET
fumecheng-7012	261	26	governing	govern	VERB
fumecheng-7012	261	27	differential	differential	ADJ
fumecheng-7012	261	28	equilibrium	equilibrium	NOUN
fumecheng-7012	261	29	equation	equation	NOUN
fumecheng-7012	261	30	in	in	ADP
fumecheng-7012	261	31	eq	eq	ADP
fumecheng-7012	261	32	.	.	PUNCT
fumecheng-7012	262	1	(	(	PUNCT
fumecheng-7012	262	2	29	29	NUM
fumecheng-7012	262	3	)	)	PUNCT
fumecheng-7012	262	4	will	will	AUX
fumecheng-7012	262	5	be	be	AUX
fumecheng-7012	262	6	reduced	reduce	VERB
fumecheng-7012	262	7	to	to	ADP
fumecheng-7012	262	8	a	a	DET
fumecheng-7012	262	9	second	second	ADJ
fumecheng-7012	262	10	-	-	PUNCT
fumecheng-7012	262	11	order	order	NOUN
fumecheng-7012	262	12	nonlocal	nonlocal	ADJ
fumecheng-7012	262	13	strain	strain	NOUN
fumecheng-7012	262	14	gradient	gradient	NOUN
fumecheng-7012	262	15	model	model	NOUN
fumecheng-7012	262	16	proposed	propose	VERB
fumecheng-7012	262	17	by	by	ADP
fumecheng-7012	262	18	sea	sea	NOUN
fumecheng-7012	262	19	-	-	PUNCT
fumecheng-7012	262	20	long	long	ADV
fumecheng-7012	262	21	et	et	PROPN
fumecheng-7012	262	22	al	al	PROPN
fumecheng-7012	262	23	.	.	PUNCT
fumecheng-7012	263	1	[	[	X
fumecheng-7012	263	2	37	37	NUM
fumecheng-7012	263	3	]	]	PUNCT
fumecheng-7012	263	4	.	.	PUNCT
fumecheng-7012	264	1	furthermore	furthermore	ADV
fumecheng-7012	264	2	,	,	PUNCT
fumecheng-7012	264	3	the	the	DET
fumecheng-7012	264	4	governing	govern	VERB
fumecheng-7012	264	5	differential	differential	ADJ
fumecheng-7012	264	6	equilibrium	equilibrium	NOUN
fumecheng-7012	264	7	equation	equation	NOUN
fumecheng-7012	264	8	in	in	ADP
fumecheng-7012	264	9	eq	eq	ADP
fumecheng-7012	264	10	.	.	PUNCT
fumecheng-7012	265	1	(	(	PUNCT
fumecheng-7012	265	2	29	29	NUM
fumecheng-7012	265	3	)	)	PUNCT
fumecheng-7012	265	4	can	can	AUX
fumecheng-7012	265	5	be	be	AUX
fumecheng-7012	265	6	transformed	transform	VERB
fumecheng-7012	265	7	into	into	ADP
fumecheng-7012	265	8	the	the	DET
fumecheng-7012	265	9	local	local	ADJ
fumecheng-7012	265	10	bar	bar	NOUN
fumecheng-7012	265	11	-	-	PUNCT
fumecheng-7012	265	12	elastic	elastic	ADJ
fumecheng-7012	265	13	medium	medium	NOUN
fumecheng-7012	265	14	system	system	NOUN
fumecheng-7012	265	15	when	when	SCONJ
fumecheng-7012	265	16	the	the	DET
fumecheng-7012	265	17	nonlocal	nonlocal	ADJ
fumecheng-7012	265	18	-	-	PUNCT
fumecheng-7012	265	19	scale	scale	NOUN
fumecheng-7012	265	20	parameter	parameter	NOUN
fumecheng-7012	265	21	and	and	CCONJ
fumecheng-7012	265	22	the	the	DET
fumecheng-7012	265	23	surface	surface	NOUN
fumecheng-7012	265	24	energy	energy	NOUN
fumecheng-7012	265	25	effect	effect	NOUN
fumecheng-7012	265	26	are	be	AUX
fumecheng-7012	265	27	ignored	ignore	VERB
fumecheng-7012	265	28	(	(	PUNCT
fumecheng-7012	265	29	e0a	e0a	NOUN
fumecheng-7012	265	30	=	=	SYM
fumecheng-7012	265	31	esur	esur	PROPN
fumecheng-7012	265	32	=	=	NOUN
fumecheng-7012	265	33	0	0	NUM
fumecheng-7012	265	34	)	)	PUNCT
fumecheng-7012	265	35	.	.	PUNCT
fumecheng-7012	266	1	the	the	DET
fumecheng-7012	266	2	general	general	ADJ
fumecheng-7012	266	3	form	form	NOUN
fumecheng-7012	266	4	of	of	ADP
fumecheng-7012	266	5	differential	differential	ADJ
fumecheng-7012	266	6	equation	equation	NOUN
fumecheng-7012	266	7	in	in	ADP
fumecheng-7012	266	8	eq	eq	ADP
fumecheng-7012	266	9	.	.	PUNCT
fumecheng-7012	266	10	(	(	PUNCT
fumecheng-7012	266	11	29	29	NUM
fumecheng-7012	266	12	)	)	PUNCT
fumecheng-7012	266	13	is	be	AUX
fumecheng-7012	266	14	found	find	VERB
fumecheng-7012	266	15	in	in	ADP
fumecheng-7012	266	16	several	several	ADJ
fumecheng-7012	266	17	engineering	engineering	NOUN
fumecheng-7012	266	18	applications	application	NOUN
fumecheng-7012	266	19	.	.	PUNCT
fumecheng-7012	267	1	for	for	ADP
fumecheng-7012	267	2	example	example	NOUN
fumecheng-7012	267	3	,	,	PUNCT
fumecheng-7012	267	4	in	in	ADP
fumecheng-7012	267	5	a	a	DET
fumecheng-7012	267	6	beam	beam	NOUN
fumecheng-7012	267	7	on	on	ADP
fumecheng-7012	267	8	elastic	elastic	ADJ
fumecheng-7012	267	9	threeparameter	threeparameter	NOUN
fumecheng-7012	267	10	foundation	foundation	NOUN
fumecheng-7012	267	11	as	as	SCONJ
fumecheng-7012	267	12	reported	report	VERB
fumecheng-7012	267	13	by	by	ADP
fumecheng-7012	267	14	morfidis	morfidi	NOUN
fumecheng-7012	267	15	[	[	X
fumecheng-7012	267	16	52	52	NUM
fumecheng-7012	267	17	]	]	PUNCT
fumecheng-7012	267	18	and	and	CCONJ
fumecheng-7012	267	19	by	by	ADP
fumecheng-7012	267	20	avramidis	avramidi	NOUN
fumecheng-7012	267	21	and	and	CCONJ
fumecheng-7012	267	22	morfidis	morfidi	NOUN
fumecheng-7012	267	23	[	[	X
fumecheng-7012	267	24	53	53	NUM
fumecheng-7012	267	25	]	]	PUNCT
fumecheng-7012	267	26	etc	etc	X
fumecheng-7012	267	27	.	.	X
fumecheng-7012	267	28	the	the	DET
fumecheng-7012	267	29	natural	natural	ADJ
fumecheng-7012	267	30	boundary	boundary	ADJ
fumecheng-7012	267	31	conditions	condition	NOUN
fumecheng-7012	267	32	(	(	PUNCT
fumecheng-7012	267	33	end	end	VERB
fumecheng-7012	267	34	boundary	boundary	ADJ
fumecheng-7012	267	35	force	force	NOUN
fumecheng-7012	267	36	terms	term	NOUN
fumecheng-7012	267	37	)	)	PUNCT
fumecheng-7012	267	38	in	in	ADP
fumecheng-7012	267	39	terms	term	NOUN
fumecheng-7012	267	40	of	of	ADP
fumecheng-7012	267	41	axial	axial	ADJ
fumecheng-7012	267	42	displacement	displacement	NOUN
fumecheng-7012	267	43	ux(x	ux(x	ADV
fumecheng-7012	267	44	)	)	PUNCT
fumecheng-7012	267	45	can	can	AUX
fumecheng-7012	267	46	be	be	AUX
fumecheng-7012	267	47	expressed	express	VERB
fumecheng-7012	267	48	by	by	ADP
fumecheng-7012	267	49	the	the	DET
fumecheng-7012	267	50	force	force	NOUN
fumecheng-7012	267	51	-	-	PUNCT
fumecheng-7012	267	52	deformation	deformation	NOUN
fumecheng-7012	267	53	relations	relation	NOUN
fumecheng-7012	267	54	in	in	ADP
fumecheng-7012	267	55	eqs	eqs	PROPN
fumecheng-7012	267	56	.	.	PUNCT
fumecheng-7012	268	1	(	(	PUNCT
fumecheng-7012	268	2	24	24	NUM
fumecheng-7012	268	3	)	)	PUNCT
fumecheng-7012	268	4	to	to	ADP
fumecheng-7012	268	5	(	(	PUNCT
fumecheng-7012	268	6	27	27	NUM
fumecheng-7012	268	7	)	)	PUNCT
fumecheng-7012	268	8	in	in	ADP
fumecheng-7012	268	9	eq	eq	ADP
fumecheng-7012	268	10	.	.	PUNCT
fumecheng-7012	269	1	(	(	PUNCT
fumecheng-7012	269	2	23	23	NUM
fumecheng-7012	269	3	)	)	PUNCT
fumecheng-7012	269	4	,	,	PUNCT
fumecheng-7012	269	5	giving	give	VERB
fumecheng-7012	269	6	5	5	NUM
fumecheng-7012	269	7	3	3	NUM
fumecheng-7012	269	8	4	4	NUM
fumecheng-7012	269	9	2	2	NUM
fumecheng-7012	269	10	1	1	NUM
fumecheng-7012	269	11	0	0	NUM
fumecheng-7012	269	12	05	05	NUM
fumecheng-7012	269	13	3	3	NUM
fumecheng-7012	269	14	local	local	ADJ
fumecheng-7012	269	15	termfourth	termfourth	NOUN
fumecheng-7012	269	16	-	-	PUNCT
fumecheng-7012	269	17	order	order	NOUN
fumecheng-7012	269	18	strain	strain	NOUN
fumecheng-7012	269	19	gradient	gradient	ADJ
fumecheng-7012	269	20	term	term	NOUN
fumecheng-7012	269	21	second	second	ADJ
fumecheng-7012	269	22	-	-	PUNCT
fumecheng-7012	269	23	order	order	NOUN
fumecheng-7012	269	24	strain	strain	NOUN
fumecheng-7012	269	25	gradient	gradient	ADJ
fumecheng-7012	269	26	term	term	NOUN
fumecheng-7012	269	27	0	0	NUM
fumecheng-7012	269	28	4	4	NUM
fumecheng-7012	269	29	4	4	NUM
fumecheng-7012	269	30	2	2	NUM
fumecheng-7012	269	31	0	0	NUM
fumecheng-7012	269	32	4	4	NUM
fumecheng-7012	269	33	four	four	NUM
fumecheng-7012	269	34	(	(	PUNCT
fumecheng-7012	269	35	)	)	PUNCT
fumecheng-7012	269	36	(	(	PUNCT
fumecheng-7012	269	37	)	)	PUNCT
fumecheng-7012	269	38	(	(	PUNCT
fumecheng-7012	269	39	)	)	PUNCT
fumecheng-7012	269	40	(	(	PUNCT
fumecheng-7012	269	41	)	)	PUNCT
fumecheng-7012	269	42	(	(	PUNCT
fumecheng-7012	269	43	)	)	PUNCT
fumecheng-7012	269	44	(	(	PUNCT
fumecheng-7012	269	45	)	)	PUNCT
fumecheng-7012	269	46	;	;	PUNCT
fumecheng-7012	269	47	(	(	PUNCT
fumecheng-7012	269	48	)	)	PUNCT
fumecheng-7012	269	49	(	(	PUNCT
fumecheng-7012	269	50	)	)	PUNCT
fumecheng-7012	269	51	x	x	SYM
fumecheng-7012	270	1	x	x	PUNCT
fumecheng-7012	270	2	x	x	X
fumecheng-7012	270	3	xx	xx	NUM
fumecheng-7012	270	4	xx	xx	NUM
fumecheng-7012	271	1	xx	xx	NUM
fumecheng-7012	272	1	eff	eff	NOUN
fumecheng-7012	272	2	x	x	PUNCT
fumecheng-7012	273	1	x	x	X
fumecheng-7012	273	2	xx	xx	NUM
fumecheng-7012	273	3	u	u	NOUN
fumecheng-7012	273	4	x	x	PROPN
fumecheng-7012	273	5	u	u	NOUN
fumecheng-7012	273	6	x	x	X
fumecheng-7012	273	7	u	u	NOUN
fumecheng-7012	273	8	x	x	X
fumecheng-7012	273	9	p	p	X
fumecheng-7012	273	10	e	e	X
fumecheng-7012	273	11	a	a	DET
fumecheng-7012	273	12	e	e	NOUN
fumecheng-7012	273	13	a	a	X
fumecheng-7012	273	14	e	e	NOUN
fumecheng-7012	273	15	a	a	X
fumecheng-7012	273	16	e	e	NOUN
fumecheng-7012	273	17	a	a	X
fumecheng-7012	273	18	e	e	NOUN
fumecheng-7012	273	19	a	a	NOUN
fumecheng-7012	273	20	xx	xx	NUM
fumecheng-7012	273	21	x	x	SYM
fumecheng-7012	273	22	u	u	NOUN
fumecheng-7012	273	23	x	x	X
fumecheng-7012	273	24	p	p	X
fumecheng-7012	273	25	e	e	X
fumecheng-7012	273	26	a	a	DET
fumecheng-7012	273	27	e	e	NOUN
fumecheng-7012	273	28	a	a	X
fumecheng-7012	273	29	x	x	X
fumecheng-7012	273	30	=	=	SYM
fumecheng-7012	273	31			PROPN
fumecheng-7012	273	32			ADJ
fumecheng-7012	273	33			PROPN
fumecheng-7012	273	34			PROPN
fumecheng-7012	273	35			ADJ
fumecheng-7012	273	36			PROPN
fumecheng-7012	273	37	=	=	PUNCT
fumecheng-7012	273	38	−	−	PROPN
fumecheng-7012	274	1	−	−	PRON
fumecheng-7012	274	2	+	+	NOUN
fumecheng-7012	274	3			NOUN
fumecheng-7012	274	4			NOUN
fumecheng-7012	274	5			NOUN
fumecheng-7012	274	6			ADP
fumecheng-7012	274	7			PROPN
fumecheng-7012	274	8			NOUN
fumecheng-7012	274	9			PROPN
fumecheng-7012	274	10			PROPN
fumecheng-7012	274	11	=	=	PUNCT
fumecheng-7012	275	1	−	−	PROPN
fumecheng-7012	275	2	−	−	PROPN
fumecheng-7012	275	3			ADJ
fumecheng-7012	275	4	2	2	NUM
fumecheng-7012	275	5	3	3	NUM
fumecheng-7012	275	6	2	2	NUM
fumecheng-7012	275	7	4	4	NUM
fumecheng-7012	275	8	0	0	NUM
fumecheng-7012	275	9	3	3	NUM
fumecheng-7012	275	10	02	02	NUM
fumecheng-7012	275	11	3	3	NUM
fumecheng-7012	275	12	th	th	VERB
fumecheng-7012	275	13	-	-	PUNCT
fumecheng-7012	275	14	order	order	NOUN
fumecheng-7012	275	15	strain	strain	NOUN
fumecheng-7012	275	16	gradient	gradient	ADJ
fumecheng-7012	275	17	term	term	NOUN
fumecheng-7012	275	18	second	second	ADJ
fumecheng-7012	275	19	-	-	PUNCT
fumecheng-7012	275	20	order	order	NOUN
fumecheng-7012	275	21	strain	strain	NOUN
fumecheng-7012	275	22	gradient	gradient	ADJ
fumecheng-7012	275	23	term	term	NOUN
fumecheng-7012	275	24	fourth	fourth	ADJ
fumecheng-7012	275	25	-	-	PUNCT
fumecheng-7012	275	26	order	order	NOUN
fumecheng-7012	275	27	strain	strain	NOUN
fumecheng-7012	275	28	gradient	gradient	ADJ
fumecheng-7012	275	29	term0	term0	NOUN
fumecheng-7012	275	30	0	0	NUM
fumecheng-7012	275	31	4	4	NUM
fumecheng-7012	275	32	4	4	NUM
fumecheng-7012	275	33	0	0	NUM
fumecheng-7012	275	34	(	(	PUNCT
fumecheng-7012	275	35	)	)	PUNCT
fumecheng-7012	275	36	(	(	PUNCT
fumecheng-7012	275	37	)	)	PUNCT
fumecheng-7012	275	38	(	(	PUNCT
fumecheng-7012	275	39	)	)	PUNCT
fumecheng-7012	275	40	;	;	PUNCT
fumecheng-7012	275	41	(	(	PUNCT
fumecheng-7012	275	42	)	)	PUNCT
fumecheng-7012	275	43	;	;	PUNCT
fumecheng-7012	275	44	(	(	PUNCT
fumecheng-7012	275	45	)	)	PUNCT
fumecheng-7012	275	46	x	x	PUNCT
fumecheng-7012	275	47	x	x	X
fumecheng-7012	276	1	xx	xx	NUM
fumecheng-7012	276	2	xx	xx	NUM
fumecheng-7012	277	1	x	x	PUNCT
fumecheng-7012	278	1	x	x	SYM
fumecheng-7012	279	1	xx	xx	NUM
fumecheng-7012	279	2	u	u	NOUN
fumecheng-7012	279	3	x	x	PROPN
fumecheng-7012	279	4	u	u	NOUN
fumecheng-7012	279	5	x	x	X
fumecheng-7012	279	6	e	e	X
fumecheng-7012	279	7	a	a	X
fumecheng-7012	279	8	e	e	NOUN
fumecheng-7012	279	9	a	a	DET
fumecheng-7012	279	10	p	p	X
fumecheng-7012	279	11	e	e	NOUN
fumecheng-7012	279	12	a	a	DET
fumecheng-7012	279	13	e	e	NOUN
fumecheng-7012	279	14	a	a	X
fumecheng-7012	279	15	x	x	X
fumecheng-7012	279	16	x	x	X
fumecheng-7012	279	17	p	p	X
fumecheng-7012	279	18	e	e	X
fumecheng-7012	279	19	a	a	DET
fumecheng-7012	279	20	e	e	X
fumecheng-7012	279	21	a	a	NOUN
fumecheng-7012	279	22	=	=	SYM
fumecheng-7012	279	23	=	=	SYM
fumecheng-7012	279	24			PROPN
fumecheng-7012	279	25			INTJ
fumecheng-7012	279	26			PROPN
fumecheng-7012	279	27			ADJ
fumecheng-7012	279	28			NOUN
fumecheng-7012	279	29			PROPN
fumecheng-7012	279	30			NOUN
fumecheng-7012	279	31			NOUN
fumecheng-7012	279	32			NOUN
fumecheng-7012	279	33	+	+	X
fumecheng-7012	279	34	=	=	SYM
fumecheng-7012	279	35	−	−	X
fumecheng-7012	279	36			ADJ
fumecheng-7012	279	37			NOUN
fumecheng-7012	279	38			NOUN
fumecheng-7012	279	39			ADJ
fumecheng-7012	279	40			VERB
fumecheng-7012	279	41			PROPN
fumecheng-7012	279	42			NOUN
fumecheng-7012	279	43			NOUN
fumecheng-7012	279	44			NOUN
fumecheng-7012	279	45			PROPN
fumecheng-7012	279	46			VERB
fumecheng-7012	279	47			PROPN
fumecheng-7012	279	48	=	=	SYM
fumecheng-7012	279	49	5	5	NUM
fumecheng-7012	279	50	3	3	NUM
fumecheng-7012	279	51	2	2	NUM
fumecheng-7012	279	52	05	05	NUM
fumecheng-7012	279	53	3	3	NUM
fumecheng-7012	279	54	local	local	ADJ
fumecheng-7012	279	55	termfourth	termfourth	NOUN
fumecheng-7012	279	56	-	-	PUNCT
fumecheng-7012	279	57	order	order	NOUN
fumecheng-7012	279	58	strain	strain	NOUN
fumecheng-7012	279	59	gradient	gradient	ADJ
fumecheng-7012	279	60	term	term	NOUN
fumecheng-7012	279	61	second	second	ADJ
fumecheng-7012	279	62	-	-	PUNCT
fumecheng-7012	279	63	order	order	NOUN
fumecheng-7012	279	64	strain	strain	NOUN
fumecheng-7012	279	65	gradient	gradient	ADJ
fumecheng-7012	279	66	term	term	NOUN
fumecheng-7012	279	67	4	4	NUM
fumecheng-7012	279	68	4	4	NUM
fumecheng-7012	279	69	5	5	NUM
fumecheng-7012	279	70	0	0	NUM
fumecheng-7012	279	71	4	4	NUM
fumecheng-7012	279	72	fourth	fourth	ADJ
fumecheng-7012	279	73	-	-	PUNCT
fumecheng-7012	279	74	order	order	NOUN
fumecheng-7012	279	75	strain	strain	NOUN
fumecheng-7012	279	76	g	g	NOUN
fumecheng-7012	279	77	(	(	PUNCT
fumecheng-7012	279	78	)	)	PUNCT
fumecheng-7012	279	79	(	(	PUNCT
fumecheng-7012	279	80	)	)	PUNCT
fumecheng-7012	279	81	(	(	PUNCT
fumecheng-7012	279	82	)	)	PUNCT
fumecheng-7012	279	83	(	(	PUNCT
fumecheng-7012	279	84	)	)	PUNCT
fumecheng-7012	279	85	(	(	PUNCT
fumecheng-7012	279	86	)	)	PUNCT
fumecheng-7012	279	87	;	;	PUNCT
fumecheng-7012	279	88	(	(	PUNCT
fumecheng-7012	279	89	)	)	PUNCT
fumecheng-7012	279	90	(	(	PUNCT
fumecheng-7012	279	91	)	)	PUNCT
fumecheng-7012	279	92	x	x	SYM
fumecheng-7012	280	1	x	x	PUNCT
fumecheng-7012	280	2	x	x	X
fumecheng-7012	280	3	xx	xx	NUM
fumecheng-7012	280	4	xx	xx	NUM
fumecheng-7012	280	5	eff	eff	NOUN
fumecheng-7012	280	6	x	x	X
fumecheng-7012	280	7	l	l	PUNCT
fumecheng-7012	280	8	x	x	PUNCT
fumecheng-7012	280	9	xx	xx	NUM
fumecheng-7012	280	10	u	u	NOUN
fumecheng-7012	280	11	x	x	PROPN
fumecheng-7012	280	12	u	u	NOUN
fumecheng-7012	280	13	x	x	X
fumecheng-7012	280	14	u	u	NOUN
fumecheng-7012	280	15	x	x	X
fumecheng-7012	280	16	e	e	X
fumecheng-7012	280	17	a	a	X
fumecheng-7012	280	18	e	e	X
fumecheng-7012	280	19	a	a	X
fumecheng-7012	280	20	e	e	NOUN
fumecheng-7012	280	21	a	a	NOUN
fumecheng-7012	280	22	xx	xx	NUM
fumecheng-7012	280	23	x	x	SYM
fumecheng-7012	280	24	u	u	NOUN
fumecheng-7012	280	25	x	x	X
fumecheng-7012	280	26	p	p	X
fumecheng-7012	280	27	e	e	X
fumecheng-7012	280	28	a	a	DET
fumecheng-7012	280	29	e	e	NOUN
fumecheng-7012	280	30	a	a	X
fumecheng-7012	280	31	x	x	X
fumecheng-7012	280	32	=	=	SYM
fumecheng-7012	280	33			PROPN
fumecheng-7012	280	34			ADJ
fumecheng-7012	280	35			PROPN
fumecheng-7012	280	36			PROPN
fumecheng-7012	280	37			ADJ
fumecheng-7012	280	38			PROPN
fumecheng-7012	280	39	−	−	PUNCT
fumecheng-7012	281	1	+	+	NOUN
fumecheng-7012	281	2			NOUN
fumecheng-7012	281	3			NOUN
fumecheng-7012	281	4			NOUN
fumecheng-7012	281	5			ADP
fumecheng-7012	281	6			PROPN
fumecheng-7012	281	7			NOUN
fumecheng-7012	281	8			PROPN
fumecheng-7012	281	9			PROPN
fumecheng-7012	281	10	=	=	SYM
fumecheng-7012	281	11	−	−	PROPN
fumecheng-7012	281	12			NOUN
fumecheng-7012	281	13	2	2	NUM
fumecheng-7012	281	14	3	3	NUM
fumecheng-7012	281	15	2	2	NUM
fumecheng-7012	281	16	4	4	NUM
fumecheng-7012	281	17	0	0	NUM
fumecheng-7012	281	18	6	6	NUM
fumecheng-7012	281	19	02	02	NUM
fumecheng-7012	281	20	3	3	NUM
fumecheng-7012	281	21	radient	radient	ADJ
fumecheng-7012	281	22	term	term	NOUN
fumecheng-7012	281	23	second	second	ADJ
fumecheng-7012	281	24	-	-	PUNCT
fumecheng-7012	281	25	order	order	NOUN
fumecheng-7012	281	26	strain	strain	NOUN
fumecheng-7012	281	27	gradient	gradient	ADJ
fumecheng-7012	281	28	term	term	NOUN
fumecheng-7012	281	29	fourth	fourth	ADJ
fumecheng-7012	281	30	-	-	PUNCT
fumecheng-7012	281	31	order	order	NOUN
fumecheng-7012	281	32	strain	strain	NOUN
fumecheng-7012	281	33	gradient	gradient	ADJ
fumecheng-7012	281	34	term	term	NOUN
fumecheng-7012	281	35	(	(	PUNCT
fumecheng-7012	281	36	)	)	PUNCT
fumecheng-7012	281	37	(	(	PUNCT
fumecheng-7012	281	38	)	)	PUNCT
fumecheng-7012	281	39	(	(	PUNCT
fumecheng-7012	281	40	)	)	PUNCT
fumecheng-7012	281	41	;	;	PUNCT
fumecheng-7012	281	42	(	(	PUNCT
fumecheng-7012	281	43	)	)	PUNCT
fumecheng-7012	281	44	x	x	X
fumecheng-7012	281	45	x	x	X
fumecheng-7012	282	1	xx	xx	NUM
fumecheng-7012	282	2	xx	xx	NUM
fumecheng-7012	282	3	x	x	PUNCT
fumecheng-7012	282	4	l	l	NOUN
fumecheng-7012	282	5	x	x	PUNCT
fumecheng-7012	282	6	l	l	PUNCT
fumecheng-7012	282	7	u	u	NOUN
fumecheng-7012	282	8	x	x	X
fumecheng-7012	282	9	u	u	NOUN
fumecheng-7012	282	10	x	x	X
fumecheng-7012	282	11	e	e	X
fumecheng-7012	282	12	a	a	X
fumecheng-7012	282	13	e	e	NOUN
fumecheng-7012	282	14	a	a	PRON
fumecheng-7012	282	15	p	p	X
fumecheng-7012	282	16	e	e	NOUN
fumecheng-7012	282	17	a	a	PRON
fumecheng-7012	282	18	e	e	NOUN
fumecheng-7012	282	19	a	a	X
fumecheng-7012	282	20	x	x	X
fumecheng-7012	282	21	x	x	SYM
fumecheng-7012	282	22	=	=	SYM
fumecheng-7012	282	23	=	=	SYM
fumecheng-7012	282	24			PROPN
fumecheng-7012	282	25			INTJ
fumecheng-7012	282	26			PROPN
fumecheng-7012	282	27			ADJ
fumecheng-7012	282	28			NOUN
fumecheng-7012	282	29			PROPN
fumecheng-7012	282	30			NOUN
fumecheng-7012	282	31			NOUN
fumecheng-7012	282	32			NOUN
fumecheng-7012	282	33	+	+	SYM
fumecheng-7012	282	34	=	=	ADJ
fumecheng-7012	282	35			NOUN
fumecheng-7012	282	36			NOUN
fumecheng-7012	282	37			NOUN
fumecheng-7012	282	38			NOUN
fumecheng-7012	282	39			ADJ
fumecheng-7012	282	40			VERB
fumecheng-7012	282	41			PROPN
fumecheng-7012	282	42			NOUN
fumecheng-7012	282	43			NOUN
fumecheng-7012	282	44			NOUN
fumecheng-7012	282	45			PROPN
fumecheng-7012	282	46			NOUN
fumecheng-7012	282	47			PROPN
fumecheng-7012	282	48	(	(	PUNCT
fumecheng-7012	282	49	31	31	NUM
fumecheng-7012	282	50	)	)	PUNCT
fumecheng-7012	282	51	it	it	PRON
fumecheng-7012	282	52	can	can	AUX
fumecheng-7012	282	53	be	be	AUX
fumecheng-7012	282	54	observed	observe	VERB
fumecheng-7012	282	55	from	from	ADP
fumecheng-7012	282	56	the	the	DET
fumecheng-7012	282	57	boundary	boundary	ADJ
fumecheng-7012	282	58	conditions	condition	NOUN
fumecheng-7012	282	59	of	of	ADP
fumecheng-7012	282	60	eq	eq	PROPN
fumecheng-7012	282	61	.	.	PUNCT
fumecheng-7012	283	1	(	(	PUNCT
fumecheng-7012	283	2	31	31	NUM
fumecheng-7012	283	3	)	)	PUNCT
fumecheng-7012	283	4	that	that	SCONJ
fumecheng-7012	283	5	the	the	DET
fumecheng-7012	283	6	end	end	NOUN
fumecheng-7012	283	7	boundary	boundary	ADJ
fumecheng-7012	283	8	forces	force	NOUN
fumecheng-7012	283	9	associated	associate	VERB
fumecheng-7012	283	10	to	to	ADP
fumecheng-7012	283	11	the	the	DET
fumecheng-7012	283	12	local	local	ADJ
fumecheng-7012	283	13	system	system	NOUN
fumecheng-7012	283	14	,	,	PUNCT
fumecheng-7012	283	15	p1	p1	NOUN
fumecheng-7012	283	16	and	and	CCONJ
fumecheng-7012	283	17	p4	p4	ADJ
fumecheng-7012	283	18	,	,	PUNCT
fumecheng-7012	283	19	are	be	AUX
fumecheng-7012	283	20	not	not	PART
fumecheng-7012	283	21	resisted	resist	VERB
fumecheng-7012	283	22	only	only	ADV
fumecheng-7012	283	23	by	by	ADP
fumecheng-7012	283	24	the	the	DET
fumecheng-7012	283	25	local	local	ADJ
fumecheng-7012	283	26	axial	axial	ADJ
fumecheng-7012	283	27	force	force	NOUN
fumecheng-7012	283	28	but	but	CCONJ
fumecheng-7012	283	29	also	also	ADV
fumecheng-7012	283	30	by	by	ADP
fumecheng-7012	283	31	the	the	DET
fumecheng-7012	283	32	higher	high	ADJ
fumecheng-7012	283	33	-	-	PUNCT
fumecheng-7012	283	34	order	order	NOUN
fumecheng-7012	283	35	axial	axial	ADJ
fumecheng-7012	283	36	forces	force	NOUN
fumecheng-7012	283	37	from	from	ADP
fumecheng-7012	283	38	the	the	DET
fumecheng-7012	283	39	gradient	gradient	ADJ
fumecheng-7012	283	40	terms	term	NOUN
fumecheng-7012	283	41	.	.	PUNCT
fumecheng-7012	284	1	furthermore	furthermore	ADV
fumecheng-7012	284	2	,	,	PUNCT
fumecheng-7012	284	3	the	the	DET
fumecheng-7012	284	4	statically	statically	ADV
fumecheng-7012	284	5	equivalent	equivalent	ADJ
fumecheng-7012	284	6	axial	axial	ADJ
fumecheng-7012	284	7	force	force	NOUN
fumecheng-7012	284	8	due	due	ADP
fumecheng-7012	284	9	to	to	ADP
fumecheng-7012	284	10	the	the	DET
fumecheng-7012	284	11	higher	high	ADJ
fumecheng-7012	284	12	-	-	PUNCT
fumecheng-7012	284	13	order	order	NOUN
fumecheng-7012	284	14	strain	strain	NOUN
fumecheng-7012	284	15	gradient	gradient	ADJ
fumecheng-7012	284	16	terms	term	NOUN
fumecheng-7012	284	17	n1(0	n1(0	PROPN
fumecheng-7012	284	18	)	)	PUNCT
fumecheng-7012	284	19	,	,	PUNCT
fumecheng-7012	284	20	n2(0	n2(0	PROPN
fumecheng-7012	284	21	)	)	PUNCT
fumecheng-7012	284	22	,	,	PUNCT
fumecheng-7012	284	23	n1(l	n1(l	PROPN
fumecheng-7012	284	24	)	)	PUNCT
fumecheng-7012	284	25	,	,	PUNCT
fumecheng-7012	284	26	and	and	CCONJ
fumecheng-7012	284	27	n2(l	n2(l	NOUN
fumecheng-7012	284	28	)	)	PUNCT
fumecheng-7012	284	29	must	must	AUX
fumecheng-7012	284	30	satisfy	satisfy	VERB
fumecheng-7012	284	31	kinematics	kinematic	NOUN
fumecheng-7012	284	32	of	of	ADP
fumecheng-7012	284	33	the	the	DET
fumecheng-7012	284	34	nanowire	nanowire	ADJ
fumecheng-7012	284	35	element	element	NOUN
fumecheng-7012	284	36	at	at	ADP
fumecheng-7012	284	37	the	the	DET
fumecheng-7012	284	38	end	end	NOUN
fumecheng-7012	284	39	boundaries	boundary	NOUN
fumecheng-7012	284	40	,	,	PUNCT
fumecheng-7012	284	41	thus	thus	ADV
fumecheng-7012	284	42	resulting	result	VERB
fumecheng-7012	284	43	zeroes	zero	NOUN
fumecheng-7012	284	44	for	for	ADP
fumecheng-7012	284	45	–	–	PUNCT
fumecheng-7012	284	46	(	(	PUNCT
fumecheng-7012	284	47	∂n2(0	∂n2(0	NOUN
fumecheng-7012	284	48	)	)	PUNCT
fumecheng-7012	284	49	/	/	SYM
fumecheng-7012	284	50	∂x	∂x	PROPN
fumecheng-7012	284	51	)	)	PUNCT
fumecheng-7012	284	52	+	+	NUM
fumecheng-7012	284	53	n1(0	n1(0	NOUN
fumecheng-7012	284	54	)	)	PUNCT
fumecheng-7012	284	55	,	,	PUNCT
fumecheng-7012	284	56	n2(0	n2(0	PROPN
fumecheng-7012	284	57	)	)	PUNCT
fumecheng-7012	284	58	,	,	PUNCT
fumecheng-7012	284	59	–	–	PUNCT
fumecheng-7012	284	60	(	(	PUNCT
fumecheng-7012	284	61	∂n2(l	∂n2(l	PROPN
fumecheng-7012	284	62	)	)	PUNCT
fumecheng-7012	284	63	/	/	SYM
fumecheng-7012	284	64	∂x	∂x	PROPN
fumecheng-7012	284	65	)	)	PUNCT
fumecheng-7012	284	66	+	+	NUM
fumecheng-7012	284	67	n1(l	n1(l	NOUN
fumecheng-7012	284	68	)	)	PUNCT
fumecheng-7012	284	69	,	,	PUNCT
fumecheng-7012	284	70	and	and	CCONJ
fumecheng-7012	284	71	n2(l	n2(l	NOUN
fumecheng-7012	284	72	)	)	PUNCT
fumecheng-7012	284	73	.	.	PUNCT
fumecheng-7012	285	1	in	in	ADP
fumecheng-7012	285	2	the	the	DET
fumecheng-7012	285	3	current	current	ADJ
fumecheng-7012	285	4	work	work	NOUN
fumecheng-7012	285	5	,	,	PUNCT
fumecheng-7012	285	6	the	the	DET
fumecheng-7012	285	7	analytical	analytical	ADJ
fumecheng-7012	285	8	solutions	solution	NOUN
fumecheng-7012	285	9	of	of	ADP
fumecheng-7012	285	10	the	the	DET
fumecheng-7012	285	11	sixth	sixth	ADJ
fumecheng-7012	285	12	-	-	PUNCT
fumecheng-7012	285	13	order	order	NOUN
fumecheng-7012	285	14	governing	govern	VERB
fumecheng-7012	285	15	differential	differential	ADJ
fumecheng-7012	285	16	equilibrium	equilibrium	NOUN
fumecheng-7012	285	17	equation	equation	NOUN
fumecheng-7012	285	18	in	in	ADP
fumecheng-7012	285	19	eq	eq	ADP
fumecheng-7012	285	20	.	.	PUNCT
fumecheng-7012	286	1	(	(	PUNCT
fumecheng-7012	286	2	29	29	NUM
fumecheng-7012	286	3	)	)	PUNCT
fumecheng-7012	286	4	are	be	AUX
fumecheng-7012	286	5	adapted	adapt	VERB
fumecheng-7012	286	6	and	and	CCONJ
fumecheng-7012	286	7	applied	apply	VERB
fumecheng-7012	286	8	from	from	ADP
fumecheng-7012	286	9	the	the	DET
fumecheng-7012	286	10	general	general	ADJ
fumecheng-7012	286	11	solutions	solution	NOUN
fumecheng-7012	286	12	of	of	ADP
fumecheng-7012	286	13	the	the	DET
fumecheng-7012	286	14	beam	beam	NOUN
fumecheng-7012	286	15	problem	problem	NOUN
fumecheng-7012	286	16	on	on	ADP
fumecheng-7012	286	17	the	the	DET
fumecheng-7012	286	18	kerr	kerr	NOUN
fumecheng-7012	286	19	-	-	PUNCT
fumecheng-7012	286	20	type	type	NOUN
fumecheng-7012	286	21	foundation	foundation	NOUN
fumecheng-7012	286	22	,	,	PUNCT
fumecheng-7012	286	23	proposed	propose	VERB
fumecheng-7012	286	24	by	by	ADP
fumecheng-7012	286	25	morfidis	morfidi	NOUN
fumecheng-7012	286	26	[	[	X
fumecheng-7012	286	27	52	52	NUM
fumecheng-7012	286	28	]	]	PUNCT
fumecheng-7012	286	29	and	and	CCONJ
fumecheng-7012	286	30	avramidis	avramidi	NOUN
fumecheng-7012	286	31	and	and	CCONJ
fumecheng-7012	286	32	morfidis	morfidi	NOUN
fumecheng-7012	287	1	[	[	X
fumecheng-7012	287	2	53	53	NUM
fumecheng-7012	287	3	]	]	PUNCT
fumecheng-7012	287	4	.	.	PUNCT
fumecheng-7012	288	1	this	this	PRON
fumecheng-7012	288	2	leads	lead	VERB
fumecheng-7012	288	3	to	to	ADP
fumecheng-7012	288	4	the	the	DET
fumecheng-7012	288	5	so	so	ADV
fumecheng-7012	288	6	-	-	PUNCT
fumecheng-7012	288	7	called	call	VERB
fumecheng-7012	288	8	“	"	PUNCT
fumecheng-7012	288	9	exact	exact	ADJ
fumecheng-7012	288	10	”	"	PUNCT
fumecheng-7012	288	11	displacement	displacement	ADJ
fumecheng-7012	288	12	shape	shape	NOUN
fumecheng-7012	288	13	functions	function	NOUN
fumecheng-7012	288	14	:	:	PUNCT
fumecheng-7012	288	15	1	1	NUM
fumecheng-7012	288	16	1	1	NUM
fumecheng-7012	288	17	2	2	NUM
fumecheng-7012	288	18	2	2	NUM
fumecheng-7012	288	19	3	3	NUM
fumecheng-7012	288	20	3	3	NUM
fumecheng-7012	288	21	4	4	NUM
fumecheng-7012	288	22	4	4	NUM
fumecheng-7012	288	23	5	5	NUM
fumecheng-7012	288	24	5	5	NUM
fumecheng-7012	288	25	6	6	NUM
fumecheng-7012	288	26	6	6	NUM
fumecheng-7012	288	27	(	(	PUNCT
fumecheng-7012	288	28	)	)	PUNCT
fumecheng-7012	288	29	(	(	PUNCT
fumecheng-7012	288	30	)	)	PUNCT
fumecheng-7012	288	31	(	(	PUNCT
fumecheng-7012	288	32	)	)	PUNCT
fumecheng-7012	288	33	(	(	PUNCT
fumecheng-7012	288	34	)	)	PUNCT
fumecheng-7012	288	35	(	(	PUNCT
fumecheng-7012	288	36	)	)	PUNCT
fumecheng-7012	288	37	(	(	PUNCT
fumecheng-7012	288	38	)	)	PUNCT
fumecheng-7012	288	39	(	(	PUNCT
fumecheng-7012	288	40	)	)	PUNCT
fumecheng-7012	288	41	x	x	SYM
fumecheng-7012	288	42	c	c	NOUN
fumecheng-7012	288	43	cu	cu	PROPN
fumecheng-7012	288	44	x	x	PUNCT
fumecheng-7012	288	45	x	x	PUNCT
fumecheng-7012	288	46	x	x	PUNCT
fumecheng-7012	288	47	x	x	PUNCT
fumecheng-7012	288	48	x	x	PUNCT
fumecheng-7012	288	49	x	x	X
fumecheng-7012	288	50	c	c	NOUN
fumecheng-7012	288	51	xc	xc	PROPN
fumecheng-7012	288	52	c	c	PROPN
fumecheng-7012	288	53	c=	c=	NOUN
fumecheng-7012	288	54	+	+	X
fumecheng-7012	289	1	+	+	PUNCT
fumecheng-7012	289	2	+	+	PUNCT
fumecheng-7012	289	3	+	+	PUNCT
fumecheng-7012	289	4	+	+	ADJ
fumecheng-7012	289	5			NOUN
fumecheng-7012	289	6			NOUN
fumecheng-7012	289	7			NOUN
fumecheng-7012	289	8			NOUN
fumecheng-7012	290	1			NOUN
fumecheng-7012	290	2			NOUN
fumecheng-7012	290	3	(	(	PUNCT
fumecheng-7012	290	4	32	32	NUM
fumecheng-7012	290	5	)	)	PUNCT
fumecheng-7012	290	6	fourth	fourth	ADJ
fumecheng-7012	290	7	-	-	PUNCT
fumecheng-7012	290	8	order	order	NOUN
fumecheng-7012	290	9	strain	strain	VERB
fumecheng-7012	290	10	gradient	gradient	ADJ
fumecheng-7012	290	11	bar	bar	NOUN
fumecheng-7012	290	12	-	-	PUNCT
fumecheng-7012	290	13	substrate	substrate	NOUN
fumecheng-7012	290	14	model	model	NOUN
fumecheng-7012	290	15	with	with	ADP
fumecheng-7012	290	16	nonlocal	nonlocal	ADJ
fumecheng-7012	290	17	and	and	CCONJ
fumecheng-7012	290	18	surface	surface	NOUN
fumecheng-7012	290	19	effects	effect	NOUN
fumecheng-7012	290	20	...	...	PUNCT
fumecheng-7012	290	21	669	669	NUM
fumecheng-7012	290	22	where	where	SCONJ
fumecheng-7012	290	23	ψ1(x	ψ1(x	NOUN
fumecheng-7012	290	24	)	)	PUNCT
fumecheng-7012	290	25	to	to	ADP
fumecheng-7012	290	26	ψ6(x	ψ6(x	PROPN
fumecheng-7012	290	27	)	)	PUNCT
fumecheng-7012	290	28	are	be	AUX
fumecheng-7012	290	29	the	the	DET
fumecheng-7012	290	30	functions	function	NOUN
fumecheng-7012	290	31	associated	associate	VERB
fumecheng-7012	290	32	with	with	ADP
fumecheng-7012	290	33	solutions	solution	NOUN
fumecheng-7012	290	34	of	of	ADP
fumecheng-7012	290	35	the	the	DET
fumecheng-7012	290	36	sixth	sixth	ADJ
fumecheng-7012	290	37	-	-	PUNCT
fumecheng-7012	290	38	order	order	NOUN
fumecheng-7012	290	39	differential	differential	ADJ
fumecheng-7012	290	40	equation	equation	NOUN
fumecheng-7012	290	41	;	;	PUNCT
fumecheng-7012	290	42	and	and	CCONJ
fumecheng-7012	290	43	c1	c1	PROPN
fumecheng-7012	290	44	to	to	ADP
fumecheng-7012	290	45	c6	c6	PROPN
fumecheng-7012	290	46	are	be	AUX
fumecheng-7012	290	47	the	the	DET
fumecheng-7012	290	48	generalized	generalized	ADJ
fumecheng-7012	290	49	coordinates	coordinate	NOUN
fumecheng-7012	290	50	corresponding	correspond	VERB
fumecheng-7012	290	51	to	to	ADP
fumecheng-7012	290	52	the	the	DET
fumecheng-7012	290	53	geometric	geometric	ADJ
fumecheng-7012	290	54	boundary	boundary	ADJ
fumecheng-7012	290	55	conditions	condition	NOUN
fumecheng-7012	290	56	.	.	PUNCT
fumecheng-7012	291	1	more	more	ADJ
fumecheng-7012	291	2	details	detail	NOUN
fumecheng-7012	291	3	of	of	ADP
fumecheng-7012	291	4	the	the	DET
fumecheng-7012	291	5	exact	exact	ADJ
fumecheng-7012	291	6	displacement	displacement	ADJ
fumecheng-7012	291	7	shape	shape	NOUN
fumecheng-7012	291	8	functions	function	NOUN
fumecheng-7012	291	9	are	be	AUX
fumecheng-7012	291	10	given	give	VERB
fumecheng-7012	291	11	in	in	ADP
fumecheng-7012	291	12	appendix	appendix	ADJ
fumecheng-7012	291	13	a.	a.	NOUN
fumecheng-7012	291	14	5	5	NUM
fumecheng-7012	291	15	.	.	PUNCT
fumecheng-7012	291	16	numerical	numerical	ADJ
fumecheng-7012	291	17	simulations	simulation	NOUN
fumecheng-7012	291	18	in	in	ADP
fumecheng-7012	291	19	this	this	DET
fumecheng-7012	291	20	section	section	NOUN
fumecheng-7012	291	21	,	,	PUNCT
fumecheng-7012	291	22	two	two	NUM
fumecheng-7012	291	23	numerical	numerical	ADJ
fumecheng-7012	291	24	simulations	simulation	NOUN
fumecheng-7012	291	25	are	be	AUX
fumecheng-7012	291	26	demonstrated	demonstrate	VERB
fumecheng-7012	291	27	and	and	CCONJ
fumecheng-7012	291	28	assessed	assess	VERB
fumecheng-7012	291	29	for	for	ADP
fumecheng-7012	291	30	the	the	DET
fumecheng-7012	291	31	mechanical	mechanical	ADJ
fumecheng-7012	291	32	characteristics	characteristic	NOUN
fumecheng-7012	291	33	of	of	ADP
fumecheng-7012	291	34	nanowire	nanowire	NOUN
fumecheng-7012	291	35	embedded	embed	VERB
fumecheng-7012	291	36	in	in	ADP
fumecheng-7012	291	37	an	an	DET
fumecheng-7012	291	38	elastic	elastic	ADJ
fumecheng-7012	291	39	substrate	substrate	NOUN
fumecheng-7012	291	40	.	.	PUNCT
fumecheng-7012	292	1	the	the	DET
fumecheng-7012	292	2	first	first	ADJ
fumecheng-7012	292	3	simulation	simulation	NOUN
fumecheng-7012	292	4	investigates	investigate	VERB
fumecheng-7012	292	5	the	the	DET
fumecheng-7012	292	6	mechanical	mechanical	ADJ
fumecheng-7012	292	7	responses	response	NOUN
fumecheng-7012	292	8	of	of	ADP
fumecheng-7012	292	9	that	that	DET
fumecheng-7012	292	10	nanowire	nanowire	NOUN
fumecheng-7012	292	11	to	to	PART
fumecheng-7012	292	12	illustrate	illustrate	VERB
fumecheng-7012	292	13	the	the	DET
fumecheng-7012	292	14	influences	influence	NOUN
fumecheng-7012	292	15	of	of	ADP
fumecheng-7012	292	16	higher	high	ADJ
fumecheng-7012	292	17	-	-	PUNCT
fumecheng-7012	292	18	order	order	NOUN
fumecheng-7012	292	19	terms	term	NOUN
fumecheng-7012	292	20	in	in	ADP
fumecheng-7012	292	21	the	the	DET
fumecheng-7012	292	22	strain	strain	NOUN
fumecheng-7012	292	23	gradient	gradient	NOUN
fumecheng-7012	292	24	,	,	PUNCT
fumecheng-7012	292	25	nonlocal	nonlocal	ADJ
fumecheng-7012	292	26	,	,	PUNCT
fumecheng-7012	292	27	and	and	CCONJ
fumecheng-7012	292	28	surface	surface	NOUN
fumecheng-7012	292	29	energy	energy	NOUN
fumecheng-7012	292	30	effects	effect	NOUN
fumecheng-7012	292	31	on	on	ADP
fumecheng-7012	292	32	the	the	DET
fumecheng-7012	292	33	nanowire	nanowire	ADJ
fumecheng-7012	292	34	responses	response	NOUN
fumecheng-7012	292	35	.	.	PUNCT
fumecheng-7012	293	1	the	the	DET
fumecheng-7012	293	2	second	second	ADJ
fumecheng-7012	293	3	simulation	simulation	NOUN
fumecheng-7012	293	4	examines	examine	VERB
fumecheng-7012	293	5	the	the	DET
fumecheng-7012	293	6	influences	influence	NOUN
fumecheng-7012	293	7	of	of	ADP
fumecheng-7012	293	8	system	system	NOUN
fumecheng-7012	293	9	parameters	parameter	NOUN
fumecheng-7012	293	10	on	on	ADP
fumecheng-7012	293	11	the	the	DET
fumecheng-7012	293	12	effective	effective	ADJ
fumecheng-7012	293	13	young	young	ADJ
fumecheng-7012	293	14	’s	’s	PART
fumecheng-7012	293	15	modulus	modulus	NOUN
fumecheng-7012	293	16	of	of	ADP
fumecheng-7012	293	17	the	the	DET
fumecheng-7012	293	18	nanowire	nanowire	ADJ
fumecheng-7012	293	19	system	system	NOUN
fumecheng-7012	293	20	,	,	PUNCT
fumecheng-7012	293	21	and	and	CCONJ
fumecheng-7012	293	22	the	the	DET
fumecheng-7012	293	23	element	element	ADJ
fumecheng-7012	293	24	stiffness	stiffness	NOUN
fumecheng-7012	293	25	at	at	ADP
fumecheng-7012	293	26	the	the	DET
fumecheng-7012	293	27	end	end	NOUN
fumecheng-7012	293	28	of	of	ADP
fumecheng-7012	293	29	the	the	DET
fumecheng-7012	293	30	nanowire	nanowire	ADJ
fumecheng-7012	293	31	model	model	NOUN
fumecheng-7012	293	32	.	.	PUNCT
fumecheng-7012	294	1	5.1	5.1	NUM
fumecheng-7012	294	2	.	.	PUNCT
fumecheng-7012	294	3	simulation	simulation	NOUN
fumecheng-7012	295	1	i	i	PRON
fumecheng-7012	295	2	:	:	PUNCT
fumecheng-7012	295	3	nonlocal	nonlocal	ADJ
fumecheng-7012	295	4	strain	strain	VERB
fumecheng-7012	295	5	gradient	gradient	NOUN
fumecheng-7012	295	6	models	model	NOUN
fumecheng-7012	295	7	vs	vs	ADP
fumecheng-7012	295	8	local	local	ADJ
fumecheng-7012	295	9	model	model	NOUN
fumecheng-7012	295	10	in	in	ADP
fumecheng-7012	295	11	the	the	DET
fumecheng-7012	295	12	analysis	analysis	NOUN
fumecheng-7012	295	13	of	of	ADP
fumecheng-7012	295	14	a	a	DET
fumecheng-7012	295	15	nanowire	nanowire	NOUN
fumecheng-7012	295	16	embedded	embed	VERB
fumecheng-7012	295	17	in	in	ADP
fumecheng-7012	295	18	an	an	DET
fumecheng-7012	295	19	elastic	elastic	ADJ
fumecheng-7012	295	20	substrate	substrate	NOUN
fumecheng-7012	295	21	a	a	DET
fumecheng-7012	295	22	free	free	ADJ
fumecheng-7012	295	23	-	-	PUNCT
fumecheng-7012	295	24	free	free	ADJ
fumecheng-7012	295	25	silver	silver	NOUN
fumecheng-7012	295	26	nanowire	nanowire	NOUN
fumecheng-7012	295	27	embedded	embed	VERB
fumecheng-7012	295	28	in	in	ADP
fumecheng-7012	295	29	the	the	DET
fumecheng-7012	295	30	elastic	elastic	ADJ
fumecheng-7012	295	31	substrate	substrate	NOUN
fumecheng-7012	295	32	under	under	ADP
fumecheng-7012	295	33	the	the	DET
fumecheng-7012	295	34	tensile	tensile	NOUN
fumecheng-7012	295	35	force	force	NOUN
fumecheng-7012	295	36	pend	pend	NOUN
fumecheng-7012	295	37	of	of	ADP
fumecheng-7012	295	38	100,000	100,000	NUM
fumecheng-7012	295	39	nn	nn	NOUN
fumecheng-7012	295	40	at	at	ADP
fumecheng-7012	295	41	the	the	DET
fumecheng-7012	295	42	right	right	ADJ
fumecheng-7012	295	43	-	-	PUNCT
fumecheng-7012	295	44	hand	hand	NOUN
fumecheng-7012	295	45	side	side	NOUN
fumecheng-7012	295	46	of	of	ADP
fumecheng-7012	295	47	the	the	DET
fumecheng-7012	295	48	member	member	NOUN
fumecheng-7012	295	49	end	end	NOUN
fumecheng-7012	295	50	,	,	PUNCT
fumecheng-7012	295	51	as	as	SCONJ
fumecheng-7012	295	52	shown	show	VERB
fumecheng-7012	295	53	in	in	ADP
fumecheng-7012	295	54	fig	fig	NOUN
fumecheng-7012	295	55	.	.	PUNCT
fumecheng-7012	296	1	4	4	NUM
fumecheng-7012	296	2	,	,	PUNCT
fumecheng-7012	296	3	is	be	AUX
fumecheng-7012	296	4	studied	study	VERB
fumecheng-7012	296	5	in	in	ADP
fumecheng-7012	296	6	this	this	DET
fumecheng-7012	296	7	simulation	simulation	NOUN
fumecheng-7012	296	8	.	.	PUNCT
fumecheng-7012	297	1	fig	fig	NOUN
fumecheng-7012	297	2	.	.	PUNCT
fumecheng-7012	298	1	4	4	NUM
fumecheng-7012	298	2	simulation	simulation	NOUN
fumecheng-7012	298	3	i	i	PRON
fumecheng-7012	298	4	:	:	PUNCT
fumecheng-7012	298	5	system	system	NOUN
fumecheng-7012	298	6	with	with	ADP
fumecheng-7012	298	7	a	a	DET
fumecheng-7012	298	8	free	free	ADJ
fumecheng-7012	298	9	-	-	PUNCT
fumecheng-7012	298	10	free	free	ADJ
fumecheng-7012	298	11	nanowire	nanowire	NOUN
fumecheng-7012	298	12	embedded	embed	VERB
fumecheng-7012	298	13	in	in	ADP
fumecheng-7012	298	14	an	an	DET
fumecheng-7012	298	15	elastic	elastic	ADJ
fumecheng-7012	298	16	substrate	substrate	NOUN
fumecheng-7012	298	17	for	for	ADP
fumecheng-7012	298	18	response	response	NOUN
fumecheng-7012	298	19	analysis	analysis	NOUN
fumecheng-7012	298	20	the	the	DET
fumecheng-7012	298	21	material	material	NOUN
fumecheng-7012	298	22	and	and	CCONJ
fumecheng-7012	298	23	geometric	geometric	ADJ
fumecheng-7012	298	24	properties	property	NOUN
fumecheng-7012	298	25	of	of	ADP
fumecheng-7012	298	26	the	the	DET
fumecheng-7012	298	27	nanowire	nanowire	NOUN
fumecheng-7012	298	28	come	come	VERB
fumecheng-7012	298	29	from	from	ADP
fumecheng-7012	298	30	the	the	DET
fumecheng-7012	298	31	publication	publication	NOUN
fumecheng-7012	298	32	of	of	ADP
fumecheng-7012	298	33	juntarasaid	juntarasaid	PROPN
fumecheng-7012	298	34	et	et	PROPN
fumecheng-7012	298	35	al	al	PROPN
fumecheng-7012	298	36	.	.	PUNCT
fumecheng-7012	299	1	[	[	X
fumecheng-7012	299	2	57	57	NUM
fumecheng-7012	299	3	]	]	PUNCT
fumecheng-7012	299	4	,	,	PUNCT
fumecheng-7012	299	5	with	with	ADP
fumecheng-7012	299	6	76	76	NUM
fumecheng-7012	299	7	gpa	gpa	PROPN
fumecheng-7012	299	8	bulk	bulk	ADJ
fumecheng-7012	299	9	modulus	modulus	NOUN
fumecheng-7012	299	10	of	of	ADP
fumecheng-7012	299	11	the	the	DET
fumecheng-7012	299	12	silver	silver	ADJ
fumecheng-7012	299	13	nanowire	nanowire	NOUN
fumecheng-7012	299	14	exx	exx	NOUN
fumecheng-7012	299	15	;	;	PUNCT
fumecheng-7012	299	16	and	and	CCONJ
fumecheng-7012	299	17	50	50	NUM
fumecheng-7012	299	18	nm	nm	NOUN
fumecheng-7012	299	19	diameter	diameter	NOUN
fumecheng-7012	299	20	d.	d.	NOUN
fumecheng-7012	299	21	the	the	DET
fumecheng-7012	299	22	length	length	NOUN
fumecheng-7012	299	23	of	of	ADP
fumecheng-7012	299	24	the	the	DET
fumecheng-7012	299	25	nanowire	nanowire	ADJ
fumecheng-7012	299	26	l	l	NOUN
fumecheng-7012	299	27	is	be	AUX
fumecheng-7012	299	28	assumed	assume	VERB
fumecheng-7012	299	29	to	to	PART
fumecheng-7012	299	30	be	be	AUX
fumecheng-7012	299	31	1,000	1,000	NUM
fumecheng-7012	299	32	nm	nm	NOUN
fumecheng-7012	299	33	.	.	PUNCT
fumecheng-7012	300	1	the	the	DET
fumecheng-7012	300	2	nonlocal	nonlocal	ADJ
fumecheng-7012	300	3	-	-	PUNCT
fumecheng-7012	300	4	scale	scale	NOUN
fumecheng-7012	300	5	parameter	parameter	NOUN
fumecheng-7012	300	6	e0a	e0a	PROPN
fumecheng-7012	300	7	is	be	AUX
fumecheng-7012	300	8	set	set	VERB
fumecheng-7012	300	9	at	at	ADP
fumecheng-7012	300	10	200	200	NUM
fumecheng-7012	300	11	nm	nm	NOUN
fumecheng-7012	300	12	.	.	PUNCT
fumecheng-7012	301	1	this	this	DET
fumecheng-7012	301	2	value	value	NOUN
fumecheng-7012	301	3	has	have	AUX
fumecheng-7012	301	4	been	be	AUX
fumecheng-7012	301	5	found	find	VERB
fumecheng-7012	301	6	in	in	ADP
fumecheng-7012	301	7	several	several	ADJ
fumecheng-7012	301	8	studies	study	NOUN
fumecheng-7012	301	9	on	on	ADP
fumecheng-7012	301	10	characteristics	characteristic	NOUN
fumecheng-7012	301	11	of	of	ADP
fumecheng-7012	301	12	nanostructures	nanostructure	NOUN
fumecheng-7012	301	13	[	[	X
fumecheng-7012	301	14	37	37	NUM
fumecheng-7012	301	15	,	,	PUNCT
fumecheng-7012	301	16	49	49	NUM
fumecheng-7012	301	17	-	-	SYM
fumecheng-7012	301	18	50	50	NUM
fumecheng-7012	301	19	]	]	PUNCT
fumecheng-7012	301	20	.	.	PUNCT
fumecheng-7012	302	1	the	the	DET
fumecheng-7012	302	2	surface	surface	NOUN
fumecheng-7012	302	3	energy	energy	NOUN
fumecheng-7012	302	4	choice	choice	NOUN
fumecheng-7012	302	5	follows	follow	VERB
fumecheng-7012	302	6	the	the	DET
fumecheng-7012	302	7	publication	publication	NOUN
fumecheng-7012	302	8	of	of	ADP
fumecheng-7012	302	9	he	he	PRON
fumecheng-7012	302	10	and	and	CCONJ
fumecheng-7012	302	11	lilley	lilley	PROPN
fumecheng-7012	303	1	[	[	X
fumecheng-7012	303	2	58	58	NUM
fumecheng-7012	303	3	]	]	PUNCT
fumecheng-7012	303	4	with	with	ADP
fumecheng-7012	303	5	elastic	elastic	ADJ
fumecheng-7012	303	6	surface	surface	NOUN
fumecheng-7012	303	7	modulus	modulus	NOUN
fumecheng-7012	303	8	esur	esur	NOUN
fumecheng-7012	303	9	=	=	PROPN
fumecheng-7012	303	10	1.22	1.22	NUM
fumecheng-7012	303	11	nn	nn	PROPN
fumecheng-7012	303	12	/	/	SYM
fumecheng-7012	303	13	nm	nm	PROPN
fumecheng-7012	303	14	,	,	PUNCT
fumecheng-7012	303	15	while	while	SCONJ
fumecheng-7012	303	16	the	the	DET
fumecheng-7012	303	17	residual	residual	ADJ
fumecheng-7012	303	18	surface	surface	NOUN
fumecheng-7012	303	19	stress	stress	NOUN
fumecheng-7012	303	20	1,000l	1,000l	NUM
fumecheng-7012	303	21	nm=	nm=	NOUN
fumecheng-7012	303	22	elastic	elastic	ADJ
fumecheng-7012	303	23	substrate	substrate	NOUN
fumecheng-7012	303	24	medium	medium	ADJ
fumecheng-7012	303	25	elastic	elastic	ADJ
fumecheng-7012	303	26	substrate	substrate	NOUN
fumecheng-7012	303	27	medium	medium	ADJ
fumecheng-7012	303	28	100,000endp	100,000endp	NUM
fumecheng-7012	303	29	nn=	nn=	PROPN
fumecheng-7012	303	30	nanowire	nanowire	NOUN
fumecheng-7012	303	31	(	(	PUNCT
fumecheng-7012	303	32	silver	silver	NOUN
fumecheng-7012	303	33	):	):	PUNCT
fumecheng-7012	303	34	nonlocal	nonlocal	ADJ
fumecheng-7012	303	35	-	-	PUNCT
fumecheng-7012	303	36	scale	scale	NOUN
fumecheng-7012	303	37	parameter	parameter	NOUN
fumecheng-7012	303	38	:	:	PUNCT
fumecheng-7012	303	39	surface	surface	NOUN
fumecheng-7012	303	40	layer	layer	NOUN
fumecheng-7012	303	41	:	:	PUNCT
fumecheng-7012	303	42	substrate	substrate	NOUN
fumecheng-7012	303	43	modulus	modulus	NOUN
fumecheng-7012	303	44	:	:	PUNCT
fumecheng-7012	303	45	76xxe	76xxe	NOUN
fumecheng-7012	303	46	gpa=	gpa=	PROPN
fumecheng-7012	303	47	0	0	NUM
fumecheng-7012	303	48	200e	200e	PROPN
fumecheng-7012	303	49	a	a	DET
fumecheng-7012	303	50	nm=	nm=	NOUN
fumecheng-7012	303	51	01.22	01.22	NUM
fumecheng-7012	303	52	/	/	SYM
fumecheng-7012	303	53	;	;	PUNCT
fumecheng-7012	303	54	0	0	NUM
fumecheng-7012	303	55	/sure	/sure	SYM
fumecheng-7012	303	56	nn	nn	PROPN
fumecheng-7012	303	57	nm	nm	ADJ
fumecheng-7012	303	58	nn	nn	PROPN
fumecheng-7012	303	59	nm=	nm=	PROPN
fumecheng-7012	303	60	=	=	SYM
fumecheng-7012	303	61			NOUN
fumecheng-7012	303	62	nanowire	nanowire	ADJ
fumecheng-7012	303	63	section	section	NOUN
fumecheng-7012	303	64	214.92	214.92	NUM
fumecheng-7012	303	65	/sk	/sk	PUNCT
fumecheng-7012	303	66	nn	nn	NUM
fumecheng-7012	303	67	nm=	nm=	PROPN
fumecheng-7012	303	68	50d	50d	NOUN
fumecheng-7012	303	69	nm=	nm=	NOUN
fumecheng-7012	303	70	bar	bar	VERB
fumecheng-7012	303	71	bulk	bulk	NOUN
fumecheng-7012	303	72	670	670	NUM
fumecheng-7012	303	73	w.	w.	PROPN
fumecheng-7012	303	74	sae	sae	PROPN
fumecheng-7012	303	75	-	-	PROPN
fumecheng-7012	303	76	long	long	ADV
fumecheng-7012	303	77	,	,	PUNCT
fumecheng-7012	303	78	s.	s.	PROPN
fumecheng-7012	303	79	limkatanyu	limkatanyu	PROPN
fumecheng-7012	303	80	,	,	PUNCT
fumecheng-7012	303	81	p.	p.	NOUN
fumecheng-7012	303	82	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	303	83	,	,	PUNCT
fumecheng-7012	303	84	et	et	PROPN
fumecheng-7012	303	85	al	al	PROPN
fumecheng-7012	303	86	.	.	PROPN
fumecheng-7012	303	87	is	be	AUX
fumecheng-7012	303	88	assumed	assume	VERB
fumecheng-7012	303	89	zero	zero	NUM
fumecheng-7012	303	90	(	(	PUNCT
fumecheng-7012	303	91	τ0	τ0	NOUN
fumecheng-7012	303	92	=	=	SYM
fumecheng-7012	303	93	0	0	NUM
fumecheng-7012	303	94	nn	nn	PROPN
fumecheng-7012	303	95	/	/	SYM
fumecheng-7012	303	96	nm	nm	NOUN
fumecheng-7012	303	97	)	)	PUNCT
fumecheng-7012	303	98	.	.	PUNCT
fumecheng-7012	304	1	these	these	DET
fumecheng-7012	304	2	values	value	NOUN
fumecheng-7012	304	3	correspond	correspond	VERB
fumecheng-7012	304	4	to	to	ADP
fumecheng-7012	304	5	the	the	DET
fumecheng-7012	304	6	crystallographic	crystallographic	ADJ
fumecheng-7012	304	7	direction	direction	NOUN
fumecheng-7012	304	8	[	[	X
fumecheng-7012	304	9	001	001	X
fumecheng-7012	304	10	]	]	PUNCT
fumecheng-7012	304	11	as	as	SCONJ
fumecheng-7012	304	12	introduced	introduce	VERB
fumecheng-7012	304	13	by	by	ADP
fumecheng-7012	304	14	shenoy	shenoy	NOUN
fumecheng-7012	304	15	[	[	X
fumecheng-7012	304	16	59	59	NUM
fumecheng-7012	304	17	]	]	PUNCT
fumecheng-7012	304	18	.	.	PUNCT
fumecheng-7012	305	1	the	the	DET
fumecheng-7012	305	2	characteristics	characteristic	NOUN
fumecheng-7012	305	3	of	of	ADP
fumecheng-7012	305	4	a	a	DET
fumecheng-7012	305	5	polymer	polymer	NOUN
fumecheng-7012	305	6	as	as	SCONJ
fumecheng-7012	305	7	the	the	DET
fumecheng-7012	305	8	surrounding	surround	VERB
fumecheng-7012	305	9	medium	medium	NOUN
fumecheng-7012	305	10	are	be	AUX
fumecheng-7012	305	11	represented	represent	VERB
fumecheng-7012	305	12	by	by	ADP
fumecheng-7012	305	13	the	the	DET
fumecheng-7012	305	14	elastic	elastic	ADJ
fumecheng-7012	305	15	substrate	substrate	NOUN
fumecheng-7012	305	16	modulus	modulus	NOUN
fumecheng-7012	305	17	ks	ks	NOUN
fumecheng-7012	305	18	=	=	SYM
fumecheng-7012	305	19	14.92	14.92	NUM
fumecheng-7012	305	20	nn	nn	PROPN
fumecheng-7012	305	21	/	/	SYM
fumecheng-7012	305	22	nm2	nm2	NOUN
fumecheng-7012	305	23	,	,	PUNCT
fumecheng-7012	305	24	given	give	VERB
fumecheng-7012	305	25	by	by	ADP
fumecheng-7012	305	26	liew	liew	PROPN
fumecheng-7012	305	27	et	et	PROPN
fumecheng-7012	305	28	al	al	PROPN
fumecheng-7012	305	29	.	.	PUNCT
fumecheng-7012	306	1	[	[	X
fumecheng-7012	306	2	60	60	NUM
fumecheng-7012	306	3	]	]	PUNCT
fumecheng-7012	306	4	.	.	PUNCT
fumecheng-7012	307	1	in	in	ADP
fumecheng-7012	307	2	order	order	NOUN
fumecheng-7012	307	3	to	to	PART
fumecheng-7012	307	4	assess	assess	VERB
fumecheng-7012	307	5	how	how	SCONJ
fumecheng-7012	307	6	nonlocal	nonlocal	ADJ
fumecheng-7012	307	7	-	-	PUNCT
fumecheng-7012	307	8	scale	scale	NOUN
fumecheng-7012	307	9	effect	effect	NOUN
fumecheng-7012	307	10	,	,	PUNCT
fumecheng-7012	307	11	surface	surface	NOUN
fumecheng-7012	307	12	energy	energy	NOUN
fumecheng-7012	307	13	,	,	PUNCT
fumecheng-7012	307	14	and	and	CCONJ
fumecheng-7012	307	15	the	the	DET
fumecheng-7012	307	16	higher	high	ADJ
fumecheng-7012	307	17	-	-	PUNCT
fumecheng-7012	307	18	order	order	NOUN
fumecheng-7012	307	19	terms	term	NOUN
fumecheng-7012	307	20	of	of	ADP
fumecheng-7012	307	21	the	the	DET
fumecheng-7012	307	22	strain	strain	NOUN
fumecheng-7012	307	23	gradient	gradient	NOUN
fumecheng-7012	307	24	affect	affect	VERB
fumecheng-7012	307	25	the	the	DET
fumecheng-7012	307	26	nanowire	nanowire	NOUN
fumecheng-7012	307	27	’s	’s	PART
fumecheng-7012	307	28	responses	response	NOUN
fumecheng-7012	307	29	,	,	PUNCT
fumecheng-7012	307	30	three	three	NUM
fumecheng-7012	307	31	analytical	analytical	ADJ
fumecheng-7012	307	32	models	model	NOUN
fumecheng-7012	307	33	of	of	ADP
fumecheng-7012	307	34	such	such	ADJ
fumecheng-7012	307	35	responses	response	NOUN
fumecheng-7012	307	36	are	be	AUX
fumecheng-7012	307	37	compared	compare	VERB
fumecheng-7012	307	38	.	.	PUNCT
fumecheng-7012	308	1	these	these	PRON
fumecheng-7012	308	2	are	be	AUX
fumecheng-7012	308	3	the	the	DET
fumecheng-7012	308	4	proposed	propose	VERB
fumecheng-7012	308	5	model	model	NOUN
fumecheng-7012	308	6	;	;	PUNCT
fumecheng-7012	308	7	the	the	DET
fumecheng-7012	308	8	second	second	ADJ
fumecheng-7012	308	9	-	-	PUNCT
fumecheng-7012	308	10	order	order	NOUN
fumecheng-7012	308	11	nonlocal	nonlocal	ADJ
fumecheng-7012	308	12	strain	strain	NOUN
fumecheng-7012	308	13	gradient	gradient	ADJ
fumecheng-7012	308	14	nanowire	nanowire	NOUN
fumecheng-7012	308	15	-	-	PUNCT
fumecheng-7012	308	16	substrate	substrate	NOUN
fumecheng-7012	308	17	model	model	NOUN
fumecheng-7012	308	18	of	of	ADP
fumecheng-7012	308	19	sae	sae	PROPN
fumecheng-7012	308	20	-	-	PROPN
fumecheng-7012	308	21	long	long	ADJ
fumecheng-7012	308	22	et	et	PROPN
fumecheng-7012	308	23	al	al	PROPN
fumecheng-7012	308	24	.	.	PUNCT
fumecheng-7012	309	1	[	[	X
fumecheng-7012	309	2	37	37	NUM
fumecheng-7012	309	3	]	]	PUNCT
fumecheng-7012	309	4	;	;	PUNCT
fumecheng-7012	309	5	and	and	CCONJ
fumecheng-7012	309	6	the	the	DET
fumecheng-7012	309	7	local	local	ADJ
fumecheng-7012	309	8	bar	bar	NOUN
fumecheng-7012	309	9	model	model	NOUN
fumecheng-7012	309	10	embedded	embed	VERB
fumecheng-7012	309	11	in	in	ADP
fumecheng-7012	309	12	elastic	elastic	ADJ
fumecheng-7012	309	13	substrate	substrate	NOUN
fumecheng-7012	309	14	.	.	PUNCT
fumecheng-7012	310	1	it	it	PRON
fumecheng-7012	310	2	needs	need	VERB
fumecheng-7012	310	3	to	to	PART
fumecheng-7012	310	4	be	be	AUX
fumecheng-7012	310	5	noted	note	VERB
fumecheng-7012	310	6	that	that	SCONJ
fumecheng-7012	310	7	the	the	DET
fumecheng-7012	310	8	so	so	ADV
fumecheng-7012	310	9	-	-	PUNCT
fumecheng-7012	310	10	called	call	VERB
fumecheng-7012	310	11	“	"	PUNCT
fumecheng-7012	310	12	local	local	ADJ
fumecheng-7012	310	13	”	"	PUNCT
fumecheng-7012	310	14	model	model	NOUN
fumecheng-7012	310	15	does	do	AUX
fumecheng-7012	310	16	not	not	PART
fumecheng-7012	310	17	consider	consider	VERB
fumecheng-7012	310	18	the	the	DET
fumecheng-7012	310	19	size	size	NOUN
fumecheng-7012	310	20	-	-	PUNCT
fumecheng-7012	310	21	scale	scale	NOUN
fumecheng-7012	310	22	effect	effect	NOUN
fumecheng-7012	310	23	.	.	PUNCT
fumecheng-7012	311	1	furthermore	furthermore	ADV
fumecheng-7012	311	2	,	,	PUNCT
fumecheng-7012	311	3	each	each	DET
fumecheng-7012	311	4	analytical	analytical	ADJ
fumecheng-7012	311	5	model	model	NOUN
fumecheng-7012	311	6	gives	give	VERB
fumecheng-7012	311	7	two	two	NUM
fumecheng-7012	311	8	systems	system	NOUN
fumecheng-7012	311	9	for	for	ADP
fumecheng-7012	311	10	the	the	DET
fumecheng-7012	311	11	discussion	discussion	NOUN
fumecheng-7012	311	12	of	of	ADP
fumecheng-7012	311	13	surface	surface	NOUN
fumecheng-7012	311	14	energy	energy	NOUN
fumecheng-7012	311	15	effect	effect	NOUN
fumecheng-7012	311	16	,	,	PUNCT
fumecheng-7012	311	17	namely	namely	ADV
fumecheng-7012	311	18	the	the	DET
fumecheng-7012	311	19	system	system	NOUN
fumecheng-7012	311	20	with	with	ADP
fumecheng-7012	311	21	surface	surface	NOUN
fumecheng-7012	311	22	effect	effect	NOUN
fumecheng-7012	311	23	and	and	CCONJ
fumecheng-7012	311	24	the	the	DET
fumecheng-7012	311	25	system	system	NOUN
fumecheng-7012	311	26	without	without	ADP
fumecheng-7012	311	27	surface	surface	NOUN
fumecheng-7012	311	28	effect	effect	NOUN
fumecheng-7012	311	29	.	.	PUNCT
fumecheng-7012	312	1	thus	thus	ADV
fumecheng-7012	312	2	,	,	PUNCT
fumecheng-7012	312	3	there	there	PRON
fumecheng-7012	312	4	are	be	VERB
fumecheng-7012	312	5	six	six	NUM
fumecheng-7012	312	6	cases	case	NOUN
fumecheng-7012	312	7	to	to	PART
fumecheng-7012	312	8	analyze	analyze	VERB
fumecheng-7012	312	9	by	by	ADP
fumecheng-7012	312	10	simulations	simulation	NOUN
fumecheng-7012	312	11	.	.	PUNCT
fumecheng-7012	313	1	fig	fig	NOUN
fumecheng-7012	313	2	.	.	PUNCT
fumecheng-7012	314	1	5	5	NUM
fumecheng-7012	314	2	superimposes	superimpose	VERB
fumecheng-7012	314	3	the	the	DET
fumecheng-7012	314	4	axial	axial	ADJ
fumecheng-7012	314	5	displacement	displacement	NOUN
fumecheng-7012	314	6	along	along	ADP
fumecheng-7012	314	7	a	a	DET
fumecheng-7012	314	8	nanowire	nanowire	NOUN
fumecheng-7012	314	9	’s	’s	PART
fumecheng-7012	314	10	length	length	NOUN
fumecheng-7012	314	11	obtained	obtain	VERB
fumecheng-7012	314	12	from	from	ADP
fumecheng-7012	314	13	the	the	DET
fumecheng-7012	314	14	six	six	NUM
fumecheng-7012	314	15	analytical	analytical	ADJ
fumecheng-7012	314	16	cases	case	NOUN
fumecheng-7012	314	17	.	.	PUNCT
fumecheng-7012	315	1	this	this	DET
fumecheng-7012	315	2	diagram	diagram	NOUN
fumecheng-7012	315	3	indicates	indicate	VERB
fumecheng-7012	315	4	that	that	SCONJ
fumecheng-7012	315	5	the	the	DET
fumecheng-7012	315	6	influence	influence	NOUN
fumecheng-7012	315	7	of	of	ADP
fumecheng-7012	315	8	the	the	DET
fumecheng-7012	315	9	nonlocal	nonlocal	ADJ
fumecheng-7012	315	10	effect	effect	NOUN
fumecheng-7012	315	11	on	on	ADP
fumecheng-7012	315	12	nanowire	nanowire	ADJ
fumecheng-7012	315	13	displacement	displacement	NOUN
fumecheng-7012	315	14	is	be	AUX
fumecheng-7012	315	15	more	more	ADV
fumecheng-7012	315	16	pronounced	pronounced	ADJ
fumecheng-7012	315	17	than	than	ADP
fumecheng-7012	315	18	the	the	DET
fumecheng-7012	315	19	surface	surface	NOUN
fumecheng-7012	315	20	energy	energy	NOUN
fumecheng-7012	315	21	effect	effect	NOUN
fumecheng-7012	315	22	,	,	PUNCT
fumecheng-7012	315	23	especially	especially	ADV
fumecheng-7012	315	24	at	at	ADP
fumecheng-7012	315	25	the	the	DET
fumecheng-7012	315	26	end	end	NOUN
fumecheng-7012	315	27	of	of	ADP
fumecheng-7012	315	28	the	the	DET
fumecheng-7012	315	29	nanowire	nanowire	NOUN
fumecheng-7012	315	30	under	under	ADP
fumecheng-7012	315	31	tensile	tensile	NOUN
fumecheng-7012	315	32	load	load	NOUN
fumecheng-7012	315	33	.	.	PUNCT
fumecheng-7012	316	1	the	the	DET
fumecheng-7012	316	2	nonlocality	nonlocality	NOUN
fumecheng-7012	316	3	makes	make	VERB
fumecheng-7012	316	4	the	the	DET
fumecheng-7012	316	5	system	system	NOUN
fumecheng-7012	316	6	distinctly	distinctly	ADV
fumecheng-7012	316	7	stiffer	stiffer	VERB
fumecheng-7012	316	8	,	,	PUNCT
fumecheng-7012	316	9	while	while	SCONJ
fumecheng-7012	316	10	the	the	DET
fumecheng-7012	316	11	additional	additional	ADJ
fumecheng-7012	316	12	term	term	NOUN
fumecheng-7012	316	13	in	in	ADP
fumecheng-7012	316	14	the	the	DET
fumecheng-7012	316	15	fourth	fourth	ADJ
fumecheng-7012	316	16	-	-	PUNCT
fumecheng-7012	316	17	order	order	NOUN
fumecheng-7012	316	18	nonlocal	nonlocal	ADJ
fumecheng-7012	316	19	strain	strain	NOUN
fumecheng-7012	316	20	gradient	gradient	NOUN
fumecheng-7012	316	21	makes	make	VERB
fumecheng-7012	316	22	the	the	DET
fumecheng-7012	316	23	element	element	NOUN
fumecheng-7012	316	24	slightly	slightly	ADV
fumecheng-7012	316	25	stiffer	stiff	ADJ
fumecheng-7012	316	26	,	,	PUNCT
fumecheng-7012	316	27	as	as	ADV
fumecheng-7012	316	28	clearly	clearly	ADV
fumecheng-7012	316	29	observed	observe	VERB
fumecheng-7012	316	30	when	when	SCONJ
fumecheng-7012	316	31	compared	compare	VERB
fumecheng-7012	316	32	with	with	ADP
fumecheng-7012	316	33	the	the	DET
fumecheng-7012	316	34	local	local	ADJ
fumecheng-7012	316	35	model	model	NOUN
fumecheng-7012	316	36	or	or	CCONJ
fumecheng-7012	316	37	with	with	ADP
fumecheng-7012	316	38	the	the	DET
fumecheng-7012	316	39	second	second	ADJ
fumecheng-7012	316	40	-	-	PUNCT
fumecheng-7012	316	41	order	order	NOUN
fumecheng-7012	316	42	strain	strain	NOUN
fumecheng-7012	316	43	gradient	gradient	NOUN
fumecheng-7012	316	44	bar	bar	NOUN
fumecheng-7012	316	45	model	model	NOUN
fumecheng-7012	316	46	.	.	PUNCT
fumecheng-7012	317	1	the	the	DET
fumecheng-7012	317	2	surface	surface	NOUN
fumecheng-7012	317	3	energy	energy	NOUN
fumecheng-7012	317	4	effect	effect	NOUN
fumecheng-7012	317	5	slightly	slightly	ADV
fumecheng-7012	317	6	affected	affect	VERB
fumecheng-7012	317	7	system	system	NOUN
fumecheng-7012	317	8	stiffness	stiffness	NOUN
fumecheng-7012	317	9	by	by	ADP
fumecheng-7012	317	10	stiffening	stiffen	VERB
fumecheng-7012	317	11	it	it	PRON
fumecheng-7012	317	12	when	when	SCONJ
fumecheng-7012	317	13	nonlocality	nonlocality	NOUN
fumecheng-7012	317	14	is	be	AUX
fumecheng-7012	317	15	included	include	VERB
fumecheng-7012	317	16	.	.	PUNCT
fumecheng-7012	318	1	furthermore	furthermore	ADV
fumecheng-7012	318	2	,	,	PUNCT
fumecheng-7012	318	3	it	it	PRON
fumecheng-7012	318	4	can	can	AUX
fumecheng-7012	318	5	be	be	AUX
fumecheng-7012	318	6	observed	observe	VERB
fumecheng-7012	318	7	that	that	SCONJ
fumecheng-7012	318	8	the	the	DET
fumecheng-7012	318	9	substrate	substrate	NOUN
fumecheng-7012	318	10	modulus	modulus	NOUN
fumecheng-7012	318	11	is	be	AUX
fumecheng-7012	318	12	in	in	ADP
fumecheng-7012	318	13	effect	effect	NOUN
fumecheng-7012	318	14	nullified	nullify	VERB
fumecheng-7012	318	15	when	when	SCONJ
fumecheng-7012	318	16	nonlocality	nonlocality	NOUN
fumecheng-7012	318	17	is	be	AUX
fumecheng-7012	318	18	ignored	ignore	VERB
fumecheng-7012	318	19	.	.	PUNCT
fumecheng-7012	319	1	this	this	PRON
fumecheng-7012	319	2	matches	match	VERB
fumecheng-7012	319	3	prior	prior	ADJ
fumecheng-7012	319	4	observations	observation	NOUN
fumecheng-7012	319	5	in	in	ADP
fumecheng-7012	319	6	several	several	ADJ
fumecheng-7012	319	7	bar	bar	NOUN
fumecheng-7012	319	8	-	-	PUNCT
fumecheng-7012	319	9	substrate	substrate	NOUN
fumecheng-7012	319	10	models	model	NOUN
fumecheng-7012	319	11	[	[	X
fumecheng-7012	319	12	37	37	NUM
fumecheng-7012	319	13	,	,	PUNCT
fumecheng-7012	319	14	49	49	NUM
fumecheng-7012	319	15	-	-	SYM
fumecheng-7012	319	16	50	50	NUM
fumecheng-7012	319	17	]	]	PUNCT
fumecheng-7012	319	18	.	.	PUNCT
fumecheng-7012	320	1	similar	similar	ADJ
fumecheng-7012	320	2	to	to	ADP
fumecheng-7012	320	3	the	the	DET
fumecheng-7012	320	4	observations	observation	NOUN
fumecheng-7012	320	5	in	in	ADP
fumecheng-7012	320	6	fig	fig	NOUN
fumecheng-7012	320	7	.	.	PUNCT
fumecheng-7012	321	1	5	5	NUM
fumecheng-7012	321	2	,	,	PUNCT
fumecheng-7012	321	3	the	the	DET
fumecheng-7012	321	4	distribution	distribution	NOUN
fumecheng-7012	321	5	of	of	ADP
fumecheng-7012	321	6	axial	axial	ADJ
fumecheng-7012	321	7	strain	strain	NOUN
fumecheng-7012	321	8	in	in	ADP
fumecheng-7012	321	9	fig	fig	NOUN
fumecheng-7012	321	10	.	.	PUNCT
fumecheng-7012	322	1	6	6	NUM
fumecheng-7012	322	2	and	and	CCONJ
fumecheng-7012	322	3	the	the	DET
fumecheng-7012	322	4	distribution	distribution	NOUN
fumecheng-7012	322	5	of	of	ADP
fumecheng-7012	322	6	axial	axial	ADJ
fumecheng-7012	322	7	force	force	NOUN
fumecheng-7012	322	8	in	in	ADP
fumecheng-7012	322	9	fig	fig	NOUN
fumecheng-7012	322	10	.	.	PUNCT
fumecheng-7012	323	1	7	7	NUM
fumecheng-7012	323	2	are	be	AUX
fumecheng-7012	323	3	affected	affect	VERB
fumecheng-7012	323	4	by	by	ADP
fumecheng-7012	323	5	the	the	DET
fumecheng-7012	323	6	nonlocality	nonlocality	NOUN
fumecheng-7012	323	7	,	,	PUNCT
fumecheng-7012	323	8	the	the	DET
fumecheng-7012	323	9	higher	high	ADJ
fumecheng-7012	323	10	-	-	PUNCT
fumecheng-7012	323	11	order	order	NOUN
fumecheng-7012	323	12	terms	term	NOUN
fumecheng-7012	323	13	in	in	ADP
fumecheng-7012	323	14	strain	strain	NOUN
fumecheng-7012	323	15	gradient	gradient	NOUN
fumecheng-7012	323	16	,	,	PUNCT
fumecheng-7012	323	17	and	and	CCONJ
fumecheng-7012	323	18	the	the	DET
fumecheng-7012	323	19	surface	surface	NOUN
fumecheng-7012	323	20	energy	energy	NOUN
fumecheng-7012	323	21	effects	effect	NOUN
fumecheng-7012	323	22	.	.	PUNCT
fumecheng-7012	324	1	it	it	PRON
fumecheng-7012	324	2	can	can	AUX
fumecheng-7012	324	3	see	see	VERB
fumecheng-7012	324	4	in	in	ADP
fumecheng-7012	324	5	fig	fig	NOUN
fumecheng-7012	324	6	.	.	PUNCT
fumecheng-7012	325	1	6	6	NUM
fumecheng-7012	325	2	that	that	SCONJ
fumecheng-7012	325	3	the	the	DET
fumecheng-7012	325	4	axial	axial	ADJ
fumecheng-7012	325	5	strain	strain	NOUN
fumecheng-7012	325	6	of	of	ADP
fumecheng-7012	325	7	the	the	DET
fumecheng-7012	325	8	bar	bar	NOUN
fumecheng-7012	325	9	-	-	PUNCT
fumecheng-7012	325	10	substrate	substrate	NOUN
fumecheng-7012	325	11	system	system	NOUN
fumecheng-7012	325	12	distinctly	distinctly	ADV
fumecheng-7012	325	13	differs	differ	VERB
fumecheng-7012	325	14	between	between	ADP
fumecheng-7012	325	15	the	the	DET
fumecheng-7012	325	16	local	local	ADJ
fumecheng-7012	325	17	model	model	NOUN
fumecheng-7012	325	18	and	and	CCONJ
fumecheng-7012	325	19	a	a	DET
fumecheng-7012	325	20	set	set	NOUN
fumecheng-7012	325	21	of	of	ADP
fumecheng-7012	325	22	nonlocal	nonlocal	ADJ
fumecheng-7012	325	23	strain	strain	NOUN
fumecheng-7012	325	24	gradient	gradient	NOUN
fumecheng-7012	325	25	models	model	NOUN
fumecheng-7012	325	26	,	,	PUNCT
fumecheng-7012	325	27	especially	especially	ADV
fumecheng-7012	325	28	at	at	ADP
fumecheng-7012	325	29	the	the	DET
fumecheng-7012	325	30	end	end	NOUN
fumecheng-7012	325	31	of	of	ADP
fumecheng-7012	325	32	the	the	DET
fumecheng-7012	325	33	nanowire	nanowire	NOUN
fumecheng-7012	325	34	under	under	ADP
fumecheng-7012	325	35	tensile	tensile	NOUN
fumecheng-7012	325	36	load	load	NOUN
fumecheng-7012	325	37	.	.	PUNCT
fumecheng-7012	326	1	the	the	DET
fumecheng-7012	326	2	axial	axial	ADJ
fumecheng-7012	326	3	strain	strain	NOUN
fumecheng-7012	326	4	from	from	ADP
fumecheng-7012	326	5	the	the	DET
fumecheng-7012	326	6	nonlocal	nonlocal	ADJ
fumecheng-7012	326	7	strain	strain	NOUN
fumecheng-7012	326	8	gradient	gradient	NOUN
fumecheng-7012	326	9	models	model	NOUN
fumecheng-7012	326	10	tends	tend	VERB
fumecheng-7012	326	11	to	to	PART
fumecheng-7012	326	12	spread	spread	VERB
fumecheng-7012	326	13	smoothly	smoothly	ADV
fumecheng-7012	326	14	from	from	ADP
fumecheng-7012	326	15	the	the	DET
fumecheng-7012	326	16	end	end	NOUN
fumecheng-7012	326	17	load	load	NOUN
fumecheng-7012	326	18	,	,	PUNCT
fumecheng-7012	326	19	while	while	SCONJ
fumecheng-7012	326	20	the	the	DET
fumecheng-7012	326	21	axial	axial	ADJ
fumecheng-7012	326	22	strain	strain	NOUN
fumecheng-7012	326	23	associated	associate	VERB
fumecheng-7012	326	24	with	with	ADP
fumecheng-7012	326	25	the	the	DET
fumecheng-7012	326	26	local	local	ADJ
fumecheng-7012	326	27	model	model	NOUN
fumecheng-7012	326	28	increases	increase	VERB
fumecheng-7012	326	29	abruptly	abruptly	ADV
fumecheng-7012	326	30	.	.	PUNCT
fumecheng-7012	327	1	the	the	DET
fumecheng-7012	327	2	maximum	maximum	ADJ
fumecheng-7012	327	3	axial	axial	ADJ
fumecheng-7012	327	4	strains	strain	NOUN
fumecheng-7012	327	5	differ	differ	VERB
fumecheng-7012	327	6	between	between	ADP
fumecheng-7012	327	7	the	the	DET
fumecheng-7012	327	8	local	local	ADJ
fumecheng-7012	327	9	model	model	NOUN
fumecheng-7012	327	10	and	and	CCONJ
fumecheng-7012	327	11	the	the	DET
fumecheng-7012	327	12	proposed	propose	VERB
fumecheng-7012	327	13	model	model	NOUN
fumecheng-7012	327	14	by	by	ADP
fumecheng-7012	327	15	approximately	approximately	ADV
fumecheng-7012	327	16	about	about	ADV
fumecheng-7012	327	17	3.10	3.10	NUM
fumecheng-7012	327	18	times	time	NOUN
fumecheng-7012	327	19	,	,	PUNCT
fumecheng-7012	327	20	while	while	SCONJ
fumecheng-7012	327	21	the	the	DET
fumecheng-7012	327	22	maxima	maxima	NOUN
fumecheng-7012	327	23	between	between	ADP
fumecheng-7012	327	24	the	the	DET
fumecheng-7012	327	25	second	second	ADJ
fumecheng-7012	327	26	-	-	PUNCT
fumecheng-7012	327	27	order	order	NOUN
fumecheng-7012	327	28	model	model	NOUN
fumecheng-7012	327	29	and	and	CCONJ
fumecheng-7012	327	30	the	the	DET
fumecheng-7012	327	31	proposed	propose	VERB
fumecheng-7012	327	32	fourth	fourth	ADJ
fumecheng-7012	327	33	-	-	PUNCT
fumecheng-7012	327	34	order	order	NOUN
fumecheng-7012	327	35	model	model	NOUN
fumecheng-7012	327	36	differ	differ	VERB
fumecheng-7012	327	37	approximately	approximately	ADV
fumecheng-7012	327	38	about	about	ADV
fumecheng-7012	327	39	3.28	3.28	NUM
fumecheng-7012	327	40	%	%	NOUN
fumecheng-7012	327	41	.	.	PUNCT
fumecheng-7012	328	1	the	the	DET
fumecheng-7012	328	2	axial	axial	ADJ
fumecheng-7012	328	3	force	force	NOUN
fumecheng-7012	328	4	distribution	distribution	NOUN
fumecheng-7012	328	5	in	in	ADP
fumecheng-7012	328	6	fig	fig	NOUN
fumecheng-7012	328	7	.	.	PUNCT
fumecheng-7012	329	1	7	7	NUM
fumecheng-7012	329	2	clearly	clearly	ADV
fumecheng-7012	329	3	shows	show	VERB
fumecheng-7012	329	4	that	that	SCONJ
fumecheng-7012	329	5	the	the	DET
fumecheng-7012	329	6	additional	additional	ADJ
fumecheng-7012	329	7	terms	term	NOUN
fumecheng-7012	329	8	in	in	ADP
fumecheng-7012	329	9	higher	high	ADJ
fumecheng-7012	329	10	-	-	PUNCT
fumecheng-7012	329	11	order	order	NOUN
fumecheng-7012	329	12	nonlocal	nonlocal	ADJ
fumecheng-7012	329	13	strain	strain	NOUN
fumecheng-7012	329	14	gradient	gradient	NOUN
fumecheng-7012	329	15	models	model	NOUN
fumecheng-7012	329	16	influence	influence	VERB
fumecheng-7012	329	17	the	the	DET
fumecheng-7012	329	18	axial	axial	ADJ
fumecheng-7012	329	19	-	-	PUNCT
fumecheng-7012	329	20	force	force	NOUN
fumecheng-7012	329	21	action	action	NOUN
fumecheng-7012	329	22	.	.	PUNCT
fumecheng-7012	330	1	there	there	PRON
fumecheng-7012	330	2	is	be	VERB
fumecheng-7012	330	3	a	a	DET
fumecheng-7012	330	4	change	change	NOUN
fumecheng-7012	330	5	in	in	ADP
fumecheng-7012	330	6	the	the	DET
fumecheng-7012	330	7	axial	axial	ADJ
fumecheng-7012	330	8	force	force	NOUN
fumecheng-7012	330	9	in	in	ADP
fumecheng-7012	330	10	compression	compression	NOUN
fumecheng-7012	330	11	(	(	PUNCT
fumecheng-7012	330	12	negative	negative	ADJ
fumecheng-7012	330	13	value	value	NOUN
fumecheng-7012	330	14	)	)	PUNCT
fumecheng-7012	330	15	for	for	ADP
fumecheng-7012	330	16	both	both	CCONJ
fumecheng-7012	330	17	the	the	DET
fumecheng-7012	330	18	second	second	ADJ
fumecheng-7012	330	19	-	-	PUNCT
fumecheng-7012	330	20	order	order	NOUN
fumecheng-7012	330	21	strain	strain	NOUN
fumecheng-7012	330	22	gradient	gradient	NOUN
fumecheng-7012	330	23	model	model	NOUN
fumecheng-7012	330	24	and	and	CCONJ
fumecheng-7012	330	25	the	the	DET
fumecheng-7012	330	26	proposed	propose	VERB
fumecheng-7012	330	27	fourth	fourth	ADJ
fumecheng-7012	330	28	-	-	PUNCT
fumecheng-7012	330	29	order	order	NOUN
fumecheng-7012	330	30	strain	strain	NOUN
fumecheng-7012	330	31	gradient	gradient	NOUN
fumecheng-7012	330	32	.	.	PUNCT
fumecheng-7012	331	1	these	these	DET
fumecheng-7012	331	2	results	result	NOUN
fumecheng-7012	331	3	are	be	AUX
fumecheng-7012	331	4	associated	associate	VERB
fumecheng-7012	331	5	with	with	ADP
fumecheng-7012	331	6	the	the	DET
fumecheng-7012	331	7	higher	high	ADJ
fumecheng-7012	331	8	-	-	PUNCT
fumecheng-7012	331	9	order	order	NOUN
fumecheng-7012	331	10	governing	govern	VERB
fumecheng-7012	331	11	differential	differential	ADJ
fumecheng-7012	331	12	equation	equation	NOUN
fumecheng-7012	331	13	of	of	ADP
fumecheng-7012	331	14	each	each	DET
fumecheng-7012	331	15	model	model	NOUN
fumecheng-7012	331	16	,	,	PUNCT
fumecheng-7012	331	17	seen	see	VERB
fumecheng-7012	331	18	in	in	ADP
fumecheng-7012	331	19	eq	eq	ADP
fumecheng-7012	331	20	.	.	PUNCT
fumecheng-7012	332	1	(	(	PUNCT
fumecheng-7012	332	2	29	29	NUM
fumecheng-7012	332	3	)	)	PUNCT
fumecheng-7012	332	4	,	,	PUNCT
fumecheng-7012	332	5	and	and	CCONJ
fumecheng-7012	332	6	correspond	correspond	VERB
fumecheng-7012	332	7	to	to	ADP
fumecheng-7012	332	8	the	the	DET
fumecheng-7012	332	9	static	static	ADJ
fumecheng-7012	332	10	indeterminacy	indeterminacy	NOUN
fumecheng-7012	332	11	of	of	ADP
fumecheng-7012	332	12	the	the	DET
fumecheng-7012	332	13	nanowire	nanowire	ADJ
fumecheng-7012	332	14	-	-	PUNCT
fumecheng-7012	332	15	substrate	substrate	NOUN
fumecheng-7012	332	16	system	system	NOUN
fumecheng-7012	332	17	.	.	PUNCT
fumecheng-7012	333	1	fourth	fourth	ADJ
fumecheng-7012	333	2	-	-	PUNCT
fumecheng-7012	333	3	order	order	NOUN
fumecheng-7012	333	4	strain	strain	VERB
fumecheng-7012	333	5	gradient	gradient	ADJ
fumecheng-7012	333	6	bar	bar	NOUN
fumecheng-7012	333	7	-	-	PUNCT
fumecheng-7012	333	8	substrate	substrate	NOUN
fumecheng-7012	333	9	model	model	NOUN
fumecheng-7012	333	10	with	with	ADP
fumecheng-7012	333	11	nonlocal	nonlocal	ADJ
fumecheng-7012	333	12	and	and	CCONJ
fumecheng-7012	333	13	surface	surface	NOUN
fumecheng-7012	333	14	effects	effect	NOUN
fumecheng-7012	333	15	...	...	PUNCT
fumecheng-7012	333	16	671	671	NUM
fumecheng-7012	333	17	fig	fig	NOUN
fumecheng-7012	333	18	.	.	PUNCT
fumecheng-7012	334	1	5	5	NUM
fumecheng-7012	334	2	nanowire	nanowire	ADJ
fumecheng-7012	334	3	axial	axial	ADJ
fumecheng-7012	334	4	displacement	displacement	NOUN
fumecheng-7012	334	5	versus	versus	ADP
fumecheng-7012	334	6	distance	distance	NOUN
fumecheng-7012	334	7	along	along	ADP
fumecheng-7012	334	8	the	the	DET
fumecheng-7012	334	9	nanowire	nanowire	ADJ
fumecheng-7012	334	10	fig	fig	NOUN
fumecheng-7012	334	11	.	.	PUNCT
fumecheng-7012	335	1	6	6	NUM
fumecheng-7012	335	2	nanowire	nanowire	ADJ
fumecheng-7012	335	3	axial	axial	ADJ
fumecheng-7012	335	4	strain	strain	NOUN
fumecheng-7012	335	5	versus	versus	ADP
fumecheng-7012	335	6	distance	distance	NOUN
fumecheng-7012	335	7	along	along	ADP
fumecheng-7012	335	8	the	the	DET
fumecheng-7012	335	9	nanowire	nanowire	NOUN
fumecheng-7012	335	10	-10	-10	PUNCT
fumecheng-7012	335	11	0	0	NUM
fumecheng-7012	335	12	10	10	NUM
fumecheng-7012	335	13	20	20	NUM
fumecheng-7012	335	14	30	30	NUM
fumecheng-7012	335	15	40	40	NUM
fumecheng-7012	335	16	50	50	NUM
fumecheng-7012	335	17	60	60	NUM
fumecheng-7012	335	18	70	70	NUM
fumecheng-7012	335	19	80	80	NUM
fumecheng-7012	335	20	0	0	NUM
fumecheng-7012	335	21	200	200	NUM
fumecheng-7012	335	22	400	400	NUM
fumecheng-7012	335	23	600	600	NUM
fumecheng-7012	335	24	800	800	NUM
fumecheng-7012	335	25	1000	1000	NUM
fumecheng-7012	335	26	n	n	NOUN
fumecheng-7012	335	27	a	a	DET
fumecheng-7012	335	28	n	n	NOUN
fumecheng-7012	335	29	o	o	X
fumecheng-7012	335	30	w	w	NOUN
fumecheng-7012	335	31	ir	ir	PROPN
fumecheng-7012	335	32	e	e	PROPN
fumecheng-7012	335	33	a	a	X
fumecheng-7012	335	34	x	x	X
fumecheng-7012	335	35	ia	ia	PROPN
fumecheng-7012	335	36	l	l	NOUN
fumecheng-7012	335	37	d	d	PROPN
fumecheng-7012	335	38	is	be	AUX
fumecheng-7012	335	39	p	p	X
fumecheng-7012	335	40	la	la	X
fumecheng-7012	335	41	ce	ce	PROPN
fumecheng-7012	335	42	m	m	PROPN
fumecheng-7012	335	43	en	en	PROPN
fumecheng-7012	335	44	t	t	PROPN
fumecheng-7012	335	45	(	(	PUNCT
fumecheng-7012	335	46	n	n	X
fumecheng-7012	335	47	m	m	NOUN
fumecheng-7012	335	48	)	)	PUNCT
fumecheng-7012	335	49	distance	distance	NOUN
fumecheng-7012	335	50	along	along	ADP
fumecheng-7012	335	51	the	the	DET
fumecheng-7012	335	52	nanowire	nanowire	NOUN
fumecheng-7012	335	53	(	(	PUNCT
fumecheng-7012	335	54	nm	nm	NOUN
fumecheng-7012	335	55	)	)	PUNCT
fumecheng-7012	335	56	proposed	propose	VERB
fumecheng-7012	335	57	bar	bar	NOUN
fumecheng-7012	335	58	model	model	NOUN
fumecheng-7012	335	59	with	with	ADP
fumecheng-7012	335	60	surface	surface	NOUN
fumecheng-7012	335	61	effect	effect	NOUN
fumecheng-7012	335	62	proposed	propose	VERB
fumecheng-7012	335	63	bar	bar	NOUN
fumecheng-7012	335	64	model	model	NOUN
fumecheng-7012	335	65	without	without	ADP
fumecheng-7012	335	66	surface	surface	NOUN
fumecheng-7012	335	67	effect	effect	NOUN
fumecheng-7012	335	68	second	second	ADJ
fumecheng-7012	335	69	order	order	NOUN
fumecheng-7012	335	70	strain	strain	VERB
fumecheng-7012	335	71	gradient	gradient	ADJ
fumecheng-7012	335	72	nonlocal	nonlocal	ADJ
fumecheng-7012	335	73	bar	bar	NOUN
fumecheng-7012	335	74	model	model	NOUN
fumecheng-7012	335	75	with	with	ADP
fumecheng-7012	335	76	surface	surface	NOUN
fumecheng-7012	335	77	effect	effect	NOUN
fumecheng-7012	335	78	second	second	ADJ
fumecheng-7012	335	79	order	order	NOUN
fumecheng-7012	335	80	strain	strain	VERB
fumecheng-7012	335	81	gradient	gradient	ADJ
fumecheng-7012	335	82	nonlocal	nonlocal	ADJ
fumecheng-7012	335	83	bar	bar	NOUN
fumecheng-7012	335	84	model	model	NOUN
fumecheng-7012	335	85	without	without	ADP
fumecheng-7012	335	86	surface	surface	NOUN
fumecheng-7012	335	87	effect	effect	NOUN
fumecheng-7012	335	88	local	local	ADJ
fumecheng-7012	335	89	bar	bar	NOUN
fumecheng-7012	335	90	model	model	NOUN
fumecheng-7012	335	91	with	with	ADP
fumecheng-7012	335	92	surface	surface	NOUN
fumecheng-7012	335	93	effect	effect	NOUN
fumecheng-7012	335	94	local	local	ADJ
fumecheng-7012	335	95	bar	bar	NOUN
fumecheng-7012	335	96	model	model	NOUN
fumecheng-7012	335	97	without	without	ADP
fumecheng-7012	335	98	surface	surface	NOUN
fumecheng-7012	335	99	effect	effect	NOUN
fumecheng-7012	335	100	-0.1	-0.1	PROPN
fumecheng-7012	335	101	0	0	NUM
fumecheng-7012	336	1	0.1	0.1	NUM
fumecheng-7012	336	2	0.2	0.2	NUM
fumecheng-7012	336	3	0.3	0.3	NUM
fumecheng-7012	336	4	0.4	0.4	NUM
fumecheng-7012	336	5	0.5	0.5	NUM
fumecheng-7012	336	6	0.6	0.6	NUM
fumecheng-7012	336	7	0.7	0.7	NUM
fumecheng-7012	336	8	0.8	0.8	NUM
fumecheng-7012	336	9	0	0	NUM
fumecheng-7012	336	10	200	200	NUM
fumecheng-7012	336	11	400	400	NUM
fumecheng-7012	336	12	600	600	NUM
fumecheng-7012	336	13	800	800	NUM
fumecheng-7012	336	14	1000	1000	NUM
fumecheng-7012	336	15	n	n	NOUN
fumecheng-7012	336	16	a	a	DET
fumecheng-7012	336	17	n	n	NOUN
fumecheng-7012	336	18	o	o	X
fumecheng-7012	336	19	w	w	NOUN
fumecheng-7012	336	20	ir	ir	PROPN
fumecheng-7012	336	21	e	e	PROPN
fumecheng-7012	336	22	a	a	PRON
fumecheng-7012	336	23	x	x	X
fumecheng-7012	336	24	ia	ia	PROPN
fumecheng-7012	336	25	l	l	PROPN
fumecheng-7012	336	26	st	st	PROPN
fumecheng-7012	336	27	ra	ra	PROPN
fumecheng-7012	336	28	in	in	ADP
fumecheng-7012	336	29	distance	distance	NOUN
fumecheng-7012	336	30	along	along	ADP
fumecheng-7012	336	31	the	the	DET
fumecheng-7012	336	32	nanowire	nanowire	NOUN
fumecheng-7012	336	33	(	(	PUNCT
fumecheng-7012	336	34	nm	nm	NOUN
fumecheng-7012	336	35	)	)	PUNCT
fumecheng-7012	336	36	proposed	propose	VERB
fumecheng-7012	336	37	bar	bar	NOUN
fumecheng-7012	336	38	model	model	NOUN
fumecheng-7012	336	39	with	with	ADP
fumecheng-7012	336	40	surface	surface	NOUN
fumecheng-7012	336	41	effect	effect	NOUN
fumecheng-7012	336	42	proposed	propose	VERB
fumecheng-7012	336	43	bar	bar	NOUN
fumecheng-7012	336	44	model	model	NOUN
fumecheng-7012	336	45	without	without	ADP
fumecheng-7012	336	46	surface	surface	NOUN
fumecheng-7012	336	47	effect	effect	NOUN
fumecheng-7012	336	48	second	second	ADJ
fumecheng-7012	336	49	order	order	NOUN
fumecheng-7012	336	50	strain	strain	VERB
fumecheng-7012	336	51	gradient	gradient	ADJ
fumecheng-7012	336	52	nonlocal	nonlocal	ADJ
fumecheng-7012	336	53	bar	bar	NOUN
fumecheng-7012	336	54	model	model	NOUN
fumecheng-7012	336	55	with	with	ADP
fumecheng-7012	336	56	surface	surface	NOUN
fumecheng-7012	336	57	effect	effect	NOUN
fumecheng-7012	336	58	second	second	ADJ
fumecheng-7012	336	59	order	order	NOUN
fumecheng-7012	336	60	strain	strain	VERB
fumecheng-7012	336	61	gradient	gradient	ADJ
fumecheng-7012	336	62	nonlocal	nonlocal	ADJ
fumecheng-7012	336	63	bar	bar	NOUN
fumecheng-7012	336	64	model	model	NOUN
fumecheng-7012	336	65	without	without	ADP
fumecheng-7012	336	66	surface	surface	NOUN
fumecheng-7012	336	67	effect	effect	NOUN
fumecheng-7012	336	68	local	local	ADJ
fumecheng-7012	336	69	bar	bar	NOUN
fumecheng-7012	336	70	model	model	NOUN
fumecheng-7012	336	71	with	with	ADP
fumecheng-7012	336	72	surface	surface	NOUN
fumecheng-7012	336	73	effect	effect	NOUN
fumecheng-7012	336	74	local	local	ADJ
fumecheng-7012	336	75	bar	bar	NOUN
fumecheng-7012	336	76	model	model	NOUN
fumecheng-7012	336	77	without	without	ADP
fumecheng-7012	336	78	surface	surface	NOUN
fumecheng-7012	336	79	effect	effect	NOUN
fumecheng-7012	336	80	672	672	NUM
fumecheng-7012	336	81	w.	w.	PROPN
fumecheng-7012	336	82	sae	sae	PROPN
fumecheng-7012	336	83	-	-	PROPN
fumecheng-7012	336	84	long	long	ADV
fumecheng-7012	336	85	,	,	PUNCT
fumecheng-7012	336	86	s.	s.	PROPN
fumecheng-7012	336	87	limkatanyu	limkatanyu	PROPN
fumecheng-7012	336	88	,	,	PUNCT
fumecheng-7012	336	89	p.	p.	NOUN
fumecheng-7012	336	90	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	336	91	,	,	PUNCT
fumecheng-7012	336	92	et	et	PROPN
fumecheng-7012	336	93	al	al	PROPN
fumecheng-7012	336	94	.	.	PROPN
fumecheng-7012	336	95	fig	fig	PROPN
fumecheng-7012	336	96	.	.	PUNCT
fumecheng-7012	337	1	7	7	NUM
fumecheng-7012	337	2	nanowire	nanowire	ADJ
fumecheng-7012	337	3	axial	axial	ADJ
fumecheng-7012	337	4	force	force	NOUN
fumecheng-7012	337	5	versus	versus	ADP
fumecheng-7012	337	6	distance	distance	NOUN
fumecheng-7012	337	7	along	along	ADP
fumecheng-7012	337	8	the	the	DET
fumecheng-7012	337	9	nanowire	nanowire	ADJ
fumecheng-7012	337	10	fig	fig	NOUN
fumecheng-7012	337	11	.	.	PUNCT
fumecheng-7012	337	12	8	8	NUM
fumecheng-7012	337	13	illustrates	illustrate	VERB
fumecheng-7012	337	14	the	the	DET
fumecheng-7012	337	15	distribution	distribution	NOUN
fumecheng-7012	337	16	of	of	ADP
fumecheng-7012	337	17	substrate	substrate	NOUN
fumecheng-7012	337	18	interaction	interaction	NOUN
fumecheng-7012	337	19	force	force	NOUN
fumecheng-7012	337	20	along	along	ADP
fumecheng-7012	337	21	the	the	DET
fumecheng-7012	337	22	nanowire	nanowire	NOUN
fumecheng-7012	337	23	for	for	ADP
fumecheng-7012	337	24	the	the	DET
fumecheng-7012	337	25	six	six	NUM
fumecheng-7012	337	26	cases	case	NOUN
fumecheng-7012	337	27	.	.	PUNCT
fumecheng-7012	338	1	the	the	DET
fumecheng-7012	338	2	shapes	shape	NOUN
fumecheng-7012	338	3	in	in	ADP
fumecheng-7012	338	4	this	this	DET
fumecheng-7012	338	5	diagram	diagram	NOUN
fumecheng-7012	338	6	are	be	AUX
fumecheng-7012	338	7	similar	similar	ADJ
fumecheng-7012	338	8	to	to	ADP
fumecheng-7012	338	9	the	the	DET
fumecheng-7012	338	10	axial	axial	ADJ
fumecheng-7012	338	11	displacement	displacement	NOUN
fumecheng-7012	338	12	in	in	ADP
fumecheng-7012	338	13	fig	fig	NOUN
fumecheng-7012	338	14	.	.	PUNCT
fumecheng-7012	339	1	5	5	X
fumecheng-7012	339	2	.	.	PUNCT
fumecheng-7012	339	3	this	this	DET
fumecheng-7012	339	4	result	result	NOUN
fumecheng-7012	339	5	does	do	AUX
fumecheng-7012	339	6	not	not	PART
fumecheng-7012	339	7	surprise	surprise	VERB
fumecheng-7012	339	8	because	because	SCONJ
fumecheng-7012	339	9	the	the	DET
fumecheng-7012	339	10	substrate	substrate	NOUN
fumecheng-7012	339	11	interactive	interactive	ADJ
fumecheng-7012	339	12	force	force	NOUN
fumecheng-7012	339	13	is	be	AUX
fumecheng-7012	339	14	directly	directly	ADV
fumecheng-7012	339	15	obtained	obtain	VERB
fumecheng-7012	339	16	from	from	ADP
fumecheng-7012	339	17	the	the	DET
fumecheng-7012	339	18	axial	axial	ADJ
fumecheng-7012	339	19	displacement	displacement	NOUN
fumecheng-7012	339	20	based	base	VERB
fumecheng-7012	339	21	on	on	ADP
fumecheng-7012	339	22	the	the	DET
fumecheng-7012	339	23	hypothesis	hypothesis	NOUN
fumecheng-7012	339	24	of	of	ADP
fumecheng-7012	339	25	the	the	DET
fumecheng-7012	339	26	winkler	winkler	NOUN
fumecheng-7012	339	27	-	-	PUNCT
fumecheng-7012	339	28	foundation	foundation	NOUN
fumecheng-7012	339	29	model	model	NOUN
fumecheng-7012	340	1	[	[	X
fumecheng-7012	340	2	55	55	NUM
fumecheng-7012	340	3	]	]	PUNCT
fumecheng-7012	340	4	.	.	PUNCT
fumecheng-7012	341	1	therefore	therefore	ADV
fumecheng-7012	341	2	,	,	PUNCT
fumecheng-7012	341	3	the	the	DET
fumecheng-7012	341	4	additional	additional	ADJ
fumecheng-7012	341	5	higher	high	ADJ
fumecheng-7012	341	6	-	-	PUNCT
fumecheng-7012	341	7	order	order	NOUN
fumecheng-7012	341	8	terms	term	NOUN
fumecheng-7012	341	9	in	in	ADP
fumecheng-7012	341	10	the	the	DET
fumecheng-7012	341	11	fourth	fourth	ADJ
fumecheng-7012	341	12	-	-	PUNCT
fumecheng-7012	341	13	order	order	NOUN
fumecheng-7012	341	14	nonlocal	nonlocal	ADJ
fumecheng-7012	341	15	strain	strain	NOUN
fumecheng-7012	341	16	gradient	gradient	NOUN
fumecheng-7012	341	17	model	model	NOUN
fumecheng-7012	341	18	,	,	PUNCT
fumecheng-7012	341	19	nonlocal	nonlocal	ADJ
fumecheng-7012	341	20	,	,	PUNCT
fumecheng-7012	341	21	and	and	CCONJ
fumecheng-7012	341	22	surface	surface	NOUN
fumecheng-7012	341	23	energy	energy	NOUN
fumecheng-7012	341	24	effects	effect	NOUN
fumecheng-7012	341	25	on	on	ADP
fumecheng-7012	341	26	this	this	DET
fumecheng-7012	341	27	response	response	NOUN
fumecheng-7012	341	28	are	be	AUX
fumecheng-7012	341	29	similar	similar	ADJ
fumecheng-7012	341	30	to	to	ADP
fumecheng-7012	341	31	the	the	DET
fumecheng-7012	341	32	axial	axial	ADJ
fumecheng-7012	341	33	displacement	displacement	NOUN
fumecheng-7012	341	34	in	in	ADP
fumecheng-7012	341	35	fig	fig	NOUN
fumecheng-7012	341	36	.	.	PUNCT
fumecheng-7012	342	1	5	5	NUM
fumecheng-7012	342	2	.	.	X
fumecheng-7012	342	3	fig	fig	NOUN
fumecheng-7012	342	4	.	.	PUNCT
fumecheng-7012	343	1	8	8	NUM
fumecheng-7012	343	2	substrate	substrate	NOUN
fumecheng-7012	343	3	interaction	interaction	NOUN
fumecheng-7012	343	4	force	force	NOUN
fumecheng-7012	343	5	versus	versus	ADP
fumecheng-7012	343	6	distance	distance	NOUN
fumecheng-7012	343	7	along	along	ADP
fumecheng-7012	343	8	the	the	DET
fumecheng-7012	343	9	nanowire	nanowire	ADJ
fumecheng-7012	343	10	-20000	-20000	NOUN
fumecheng-7012	343	11	0	0	NUM
fumecheng-7012	343	12	20000	20000	NUM
fumecheng-7012	343	13	40000	40000	NUM
fumecheng-7012	343	14	60000	60000	NUM
fumecheng-7012	343	15	80000	80000	NUM
fumecheng-7012	343	16	100000	100000	NUM
fumecheng-7012	343	17	120000	120000	NUM
fumecheng-7012	343	18	0	0	NUM
fumecheng-7012	343	19	200	200	NUM
fumecheng-7012	343	20	400	400	NUM
fumecheng-7012	343	21	600	600	NUM
fumecheng-7012	343	22	800	800	NUM
fumecheng-7012	343	23	1000	1000	NUM
fumecheng-7012	343	24	n	n	NOUN
fumecheng-7012	343	25	a	a	DET
fumecheng-7012	343	26	n	n	NOUN
fumecheng-7012	343	27	o	o	X
fumecheng-7012	343	28	w	w	NOUN
fumecheng-7012	343	29	ir	ir	PROPN
fumecheng-7012	343	30	e	e	PROPN
fumecheng-7012	343	31	a	a	X
fumecheng-7012	343	32	x	x	X
fumecheng-7012	343	33	ia	ia	PROPN
fumecheng-7012	343	34	l	l	NOUN
fumecheng-7012	343	35	fo	fo	CCONJ
fumecheng-7012	343	36	rc	rc	PROPN
fumecheng-7012	343	37	e	e	PROPN
fumecheng-7012	343	38	(	(	PUNCT
fumecheng-7012	343	39	n	n	CCONJ
fumecheng-7012	343	40	n	n	CCONJ
fumecheng-7012	343	41	)	)	PUNCT
fumecheng-7012	343	42	distance	distance	NOUN
fumecheng-7012	343	43	along	along	ADP
fumecheng-7012	343	44	the	the	DET
fumecheng-7012	343	45	nanowire	nanowire	NOUN
fumecheng-7012	343	46	(	(	PUNCT
fumecheng-7012	343	47	nm	nm	NOUN
fumecheng-7012	343	48	)	)	PUNCT
fumecheng-7012	343	49	proposed	propose	VERB
fumecheng-7012	343	50	bar	bar	NOUN
fumecheng-7012	343	51	model	model	NOUN
fumecheng-7012	343	52	with	with	ADP
fumecheng-7012	343	53	surface	surface	NOUN
fumecheng-7012	343	54	effect	effect	NOUN
fumecheng-7012	343	55	proposed	propose	VERB
fumecheng-7012	343	56	bar	bar	NOUN
fumecheng-7012	343	57	model	model	NOUN
fumecheng-7012	343	58	without	without	ADP
fumecheng-7012	343	59	surface	surface	NOUN
fumecheng-7012	343	60	effect	effect	NOUN
fumecheng-7012	343	61	second	second	ADJ
fumecheng-7012	343	62	order	order	NOUN
fumecheng-7012	343	63	strain	strain	VERB
fumecheng-7012	343	64	gradient	gradient	ADJ
fumecheng-7012	343	65	nonlocal	nonlocal	ADJ
fumecheng-7012	343	66	bar	bar	NOUN
fumecheng-7012	343	67	model	model	NOUN
fumecheng-7012	343	68	with	with	ADP
fumecheng-7012	343	69	surface	surface	NOUN
fumecheng-7012	343	70	effect	effect	NOUN
fumecheng-7012	343	71	second	second	ADJ
fumecheng-7012	343	72	order	order	NOUN
fumecheng-7012	343	73	strain	strain	VERB
fumecheng-7012	343	74	gradient	gradient	ADJ
fumecheng-7012	343	75	nonlocal	nonlocal	ADJ
fumecheng-7012	343	76	bar	bar	NOUN
fumecheng-7012	343	77	model	model	NOUN
fumecheng-7012	343	78	without	without	ADP
fumecheng-7012	343	79	surface	surface	NOUN
fumecheng-7012	343	80	effect	effect	NOUN
fumecheng-7012	343	81	local	local	ADJ
fumecheng-7012	343	82	bar	bar	NOUN
fumecheng-7012	343	83	model	model	NOUN
fumecheng-7012	343	84	with	with	ADP
fumecheng-7012	343	85	surface	surface	NOUN
fumecheng-7012	343	86	effect	effect	NOUN
fumecheng-7012	343	87	local	local	ADJ
fumecheng-7012	343	88	bar	bar	NOUN
fumecheng-7012	343	89	model	model	NOUN
fumecheng-7012	343	90	without	without	ADP
fumecheng-7012	343	91	surface	surface	NOUN
fumecheng-7012	343	92	effect	effect	NOUN
fumecheng-7012	344	1	-200	-200	NUM
fumecheng-7012	344	2	0	0	NUM
fumecheng-7012	344	3	200	200	NUM
fumecheng-7012	344	4	400	400	NUM
fumecheng-7012	344	5	600	600	NUM
fumecheng-7012	344	6	800	800	NUM
fumecheng-7012	344	7	1000	1000	NUM
fumecheng-7012	344	8	1200	1200	NUM
fumecheng-7012	344	9	0	0	NUM
fumecheng-7012	344	10	200	200	NUM
fumecheng-7012	344	11	400	400	NUM
fumecheng-7012	344	12	600	600	NUM
fumecheng-7012	344	13	800	800	NUM
fumecheng-7012	344	14	1000	1000	NUM
fumecheng-7012	344	15	s	s	VERB
fumecheng-7012	344	16	u	u	PROPN
fumecheng-7012	344	17	b	b	PROPN
fumecheng-7012	344	18	st	st	PROPN
fumecheng-7012	344	19	r	r	PROPN
fumecheng-7012	344	20	a	a	PRON
fumecheng-7012	344	21	te	te	ADP
fumecheng-7012	344	22	i	i	PRON
fumecheng-7012	344	23	n	n	ADV
fumecheng-7012	344	24	te	te	INTJ
fumecheng-7012	344	25	r	r	NOUN
fumecheng-7012	344	26	a	a	DET
fumecheng-7012	344	27	c	c	NOUN
fumecheng-7012	344	28	ti	ti	NOUN
fumecheng-7012	344	29	v	v	NOUN
fumecheng-7012	344	30	e	e	X
fumecheng-7012	344	31	f	f	X
fumecheng-7012	344	32	o	o	X
fumecheng-7012	344	33	rc	rc	PROPN
fumecheng-7012	344	34	e	e	PROPN
fumecheng-7012	344	35	(	(	PUNCT
fumecheng-7012	344	36	n	n	CCONJ
fumecheng-7012	344	37	n	n	CCONJ
fumecheng-7012	344	38	/n	/n	PUNCT
fumecheng-7012	344	39	m	m	PROPN
fumecheng-7012	344	40	)	)	PUNCT
fumecheng-7012	344	41	distance	distance	NOUN
fumecheng-7012	344	42	along	along	ADP
fumecheng-7012	344	43	the	the	DET
fumecheng-7012	344	44	nanowire	nanowire	NOUN
fumecheng-7012	344	45	(	(	PUNCT
fumecheng-7012	344	46	nm	nm	NOUN
fumecheng-7012	344	47	)	)	PUNCT
fumecheng-7012	344	48	proposed	propose	VERB
fumecheng-7012	344	49	bar	bar	NOUN
fumecheng-7012	344	50	model	model	NOUN
fumecheng-7012	344	51	with	with	ADP
fumecheng-7012	344	52	surface	surface	NOUN
fumecheng-7012	344	53	effect	effect	NOUN
fumecheng-7012	344	54	proposed	propose	VERB
fumecheng-7012	344	55	bar	bar	NOUN
fumecheng-7012	344	56	model	model	NOUN
fumecheng-7012	344	57	without	without	ADP
fumecheng-7012	344	58	surface	surface	NOUN
fumecheng-7012	344	59	effect	effect	NOUN
fumecheng-7012	344	60	second	second	ADJ
fumecheng-7012	344	61	order	order	NOUN
fumecheng-7012	344	62	strain	strain	VERB
fumecheng-7012	344	63	gradient	gradient	ADJ
fumecheng-7012	344	64	nonlocal	nonlocal	ADJ
fumecheng-7012	344	65	bar	bar	NOUN
fumecheng-7012	344	66	model	model	NOUN
fumecheng-7012	344	67	with	with	ADP
fumecheng-7012	344	68	surface	surface	NOUN
fumecheng-7012	344	69	effect	effect	NOUN
fumecheng-7012	344	70	second	second	ADJ
fumecheng-7012	344	71	order	order	NOUN
fumecheng-7012	344	72	strain	strain	VERB
fumecheng-7012	344	73	gradient	gradient	ADJ
fumecheng-7012	344	74	nonlocal	nonlocal	ADJ
fumecheng-7012	344	75	bar	bar	NOUN
fumecheng-7012	344	76	model	model	NOUN
fumecheng-7012	344	77	without	without	ADP
fumecheng-7012	344	78	surface	surface	NOUN
fumecheng-7012	344	79	effect	effect	NOUN
fumecheng-7012	344	80	local	local	ADJ
fumecheng-7012	344	81	bar	bar	NOUN
fumecheng-7012	344	82	model	model	NOUN
fumecheng-7012	344	83	with	with	ADP
fumecheng-7012	344	84	surface	surface	NOUN
fumecheng-7012	344	85	effect	effect	NOUN
fumecheng-7012	344	86	local	local	ADJ
fumecheng-7012	344	87	bar	bar	NOUN
fumecheng-7012	344	88	model	model	NOUN
fumecheng-7012	344	89	without	without	ADP
fumecheng-7012	344	90	surface	surface	NOUN
fumecheng-7012	344	91	effect	effect	NOUN
fumecheng-7012	344	92	fourth	fourth	ADJ
fumecheng-7012	344	93	-	-	PUNCT
fumecheng-7012	344	94	order	order	NOUN
fumecheng-7012	344	95	strain	strain	NOUN
fumecheng-7012	344	96	gradient	gradient	ADJ
fumecheng-7012	344	97	bar	bar	NOUN
fumecheng-7012	344	98	-	-	PUNCT
fumecheng-7012	344	99	substrate	substrate	NOUN
fumecheng-7012	344	100	model	model	NOUN
fumecheng-7012	344	101	with	with	ADP
fumecheng-7012	344	102	nonlocal	nonlocal	ADJ
fumecheng-7012	344	103	and	and	CCONJ
fumecheng-7012	344	104	surface	surface	NOUN
fumecheng-7012	344	105	effects	effect	NOUN
fumecheng-7012	344	106	...	...	PUNCT
fumecheng-7012	344	107	673	673	NUM
fumecheng-7012	344	108	5.2	5.2	NUM
fumecheng-7012	344	109	.	.	PUNCT
fumecheng-7012	345	1	simulation	simulation	PROPN
fumecheng-7012	345	2	ii	ii	PROPN
fumecheng-7012	345	3	:	:	PUNCT
fumecheng-7012	345	4	parametric	parametric	ADJ
fumecheng-7012	345	5	study	study	NOUN
fumecheng-7012	345	6	this	this	DET
fumecheng-7012	345	7	simulation	simulation	NOUN
fumecheng-7012	345	8	study	study	NOUN
fumecheng-7012	345	9	investigated	investigate	VERB
fumecheng-7012	345	10	the	the	DET
fumecheng-7012	345	11	sensitivity	sensitivity	NOUN
fumecheng-7012	345	12	of	of	ADP
fumecheng-7012	345	13	the	the	DET
fumecheng-7012	345	14	effective	effective	ADJ
fumecheng-7012	345	15	young	young	ADJ
fumecheng-7012	345	16	’s	’s	PART
fumecheng-7012	345	17	modulus	modulus	NOUN
fumecheng-7012	345	18	on	on	ADP
fumecheng-7012	345	19	nanowire	nanowire	ADJ
fumecheng-7012	345	20	and	and	CCONJ
fumecheng-7012	345	21	substrate	substrate	NOUN
fumecheng-7012	345	22	parameters	parameter	NOUN
fumecheng-7012	345	23	of	of	ADP
fumecheng-7012	345	24	the	the	DET
fumecheng-7012	345	25	fourth	fourth	ADJ
fumecheng-7012	345	26	-	-	PUNCT
fumecheng-7012	345	27	order	order	NOUN
fumecheng-7012	345	28	and	and	CCONJ
fumecheng-7012	345	29	second	second	ADJ
fumecheng-7012	345	30	-	-	PUNCT
fumecheng-7012	345	31	order	order	NOUN
fumecheng-7012	345	32	nonlocal	nonlocal	ADJ
fumecheng-7012	345	33	strain	strain	NOUN
fumecheng-7012	345	34	gradient	gradient	NOUN
fumecheng-7012	345	35	models	model	NOUN
fumecheng-7012	345	36	for	for	ADP
fumecheng-7012	345	37	the	the	DET
fumecheng-7012	345	38	problem	problem	NOUN
fumecheng-7012	345	39	of	of	ADP
fumecheng-7012	345	40	a	a	DET
fumecheng-7012	345	41	nanowire	nanowire	NOUN
fumecheng-7012	345	42	embedded	embed	VERB
fumecheng-7012	345	43	in	in	ADP
fumecheng-7012	345	44	the	the	DET
fumecheng-7012	345	45	substrate	substrate	NOUN
fumecheng-7012	345	46	medium	medium	NOUN
fumecheng-7012	345	47	.	.	PUNCT
fumecheng-7012	346	1	the	the	DET
fumecheng-7012	346	2	nanowire	nanowire	NOUN
fumecheng-7012	346	3	-	-	PUNCT
fumecheng-7012	346	4	substrate	substrate	NOUN
fumecheng-7012	346	5	system	system	NOUN
fumecheng-7012	346	6	under	under	ADP
fumecheng-7012	346	7	the	the	DET
fumecheng-7012	346	8	tensile	tensile	NOUN
fumecheng-7012	346	9	force	force	NOUN
fumecheng-7012	346	10	pend	pend	NOUN
fumecheng-7012	346	11	of	of	ADP
fumecheng-7012	346	12	10	10	NUM
fumecheng-7012	346	13	nn	nn	NOUN
fumecheng-7012	346	14	at	at	ADP
fumecheng-7012	346	15	the	the	DET
fumecheng-7012	346	16	free	free	ADJ
fumecheng-7012	346	17	-	-	PUNCT
fumecheng-7012	346	18	end	end	NOUN
fumecheng-7012	346	19	right	right	ADJ
fumecheng-7012	346	20	-	-	PUNCT
fumecheng-7012	346	21	hand	hand	NOUN
fumecheng-7012	346	22	side	side	NOUN
fumecheng-7012	346	23	member	member	NOUN
fumecheng-7012	346	24	,	,	PUNCT
fumecheng-7012	346	25	as	as	SCONJ
fumecheng-7012	346	26	shown	show	VERB
fumecheng-7012	346	27	in	in	ADP
fumecheng-7012	346	28	fig	fig	NOUN
fumecheng-7012	346	29	.	.	PUNCT
fumecheng-7012	347	1	9	9	NUM
fumecheng-7012	347	2	,	,	PUNCT
fumecheng-7012	347	3	is	be	AUX
fumecheng-7012	347	4	employed	employ	VERB
fumecheng-7012	347	5	to	to	PART
fumecheng-7012	347	6	study	study	VERB
fumecheng-7012	347	7	herein	herein	NOUN
fumecheng-7012	347	8	.	.	PUNCT
fumecheng-7012	348	1	fig	fig	NOUN
fumecheng-7012	348	2	.	.	PUNCT
fumecheng-7012	349	1	9	9	NUM
fumecheng-7012	349	2	simulation	simulation	PROPN
fumecheng-7012	349	3	ii	ii	PROPN
fumecheng-7012	349	4	:	:	PUNCT
fumecheng-7012	349	5	system	system	NOUN
fumecheng-7012	349	6	with	with	ADP
fumecheng-7012	349	7	a	a	DET
fumecheng-7012	349	8	free	free	ADJ
fumecheng-7012	349	9	-	-	PUNCT
fumecheng-7012	349	10	free	free	ADJ
fumecheng-7012	349	11	nanowire	nanowire	NOUN
fumecheng-7012	349	12	embedded	embed	VERB
fumecheng-7012	349	13	in	in	ADP
fumecheng-7012	349	14	an	an	DET
fumecheng-7012	349	15	elastic	elastic	ADJ
fumecheng-7012	349	16	substrate	substrate	NOUN
fumecheng-7012	349	17	for	for	ADP
fumecheng-7012	349	18	parametric	parametric	ADJ
fumecheng-7012	349	19	study	study	NOUN
fumecheng-7012	349	20	the	the	DET
fumecheng-7012	349	21	material	material	NOUN
fumecheng-7012	349	22	properties	property	NOUN
fumecheng-7012	349	23	of	of	ADP
fumecheng-7012	349	24	nanowire	nanowire	NOUN
fumecheng-7012	349	25	and	and	CCONJ
fumecheng-7012	349	26	its	its	PRON
fumecheng-7012	349	27	surface	surface	NOUN
fumecheng-7012	349	28	energy	energy	NOUN
fumecheng-7012	349	29	come	come	VERB
fumecheng-7012	349	30	from	from	ADP
fumecheng-7012	349	31	the	the	DET
fumecheng-7012	349	32	publication	publication	NOUN
fumecheng-7012	349	33	of	of	ADP
fumecheng-7012	349	34	assadi	assadi	NOUN
fumecheng-7012	349	35	et	et	PROPN
fumecheng-7012	349	36	al	al	PROPN
fumecheng-7012	349	37	.	.	PUNCT
fumecheng-7012	350	1	[	[	X
fumecheng-7012	350	2	61	61	NUM
fumecheng-7012	350	3	]	]	PUNCT
fumecheng-7012	350	4	,	,	PUNCT
fumecheng-7012	350	5	with	with	ADP
fumecheng-7012	350	6	70	70	NUM
fumecheng-7012	350	7	gpa	gpa	NOUN
fumecheng-7012	350	8	bulk	bulk	ADJ
fumecheng-7012	350	9	modulus	modulus	NOUN
fumecheng-7012	350	10	of	of	ADP
fumecheng-7012	350	11	the	the	DET
fumecheng-7012	350	12	anodic	anodic	ADJ
fumecheng-7012	350	13	alumina	alumina	NOUN
fumecheng-7012	350	14	nanowire	nanowire	NOUN
fumecheng-7012	350	15	exx	exx	NOUN
fumecheng-7012	350	16	;	;	PUNCT
fumecheng-7012	350	17	and	and	CCONJ
fumecheng-7012	350	18	5.1882	5.1882	NUM
fumecheng-7012	350	19	nn	nn	NOUN
fumecheng-7012	350	20	/	/	SYM
fumecheng-7012	350	21	nm	nm	ADJ
fumecheng-7012	350	22	elastic	elastic	ADJ
fumecheng-7012	350	23	surface	surface	NOUN
fumecheng-7012	350	24	modulus	modulus	NOUN
fumecheng-7012	350	25	esur	esur	NOUN
fumecheng-7012	350	26	.	.	PUNCT
fumecheng-7012	351	1	the	the	DET
fumecheng-7012	351	2	length	length	NOUN
fumecheng-7012	351	3	of	of	ADP
fumecheng-7012	351	4	the	the	DET
fumecheng-7012	351	5	nanowire	nanowire	ADJ
fumecheng-7012	351	6	l	l	NOUN
fumecheng-7012	351	7	is	be	AUX
fumecheng-7012	351	8	fixed	fix	VERB
fumecheng-7012	351	9	with	with	ADP
fumecheng-7012	351	10	1,000	1,000	NUM
fumecheng-7012	351	11	nm	nm	NOUN
fumecheng-7012	351	12	while	while	SCONJ
fumecheng-7012	351	13	the	the	DET
fumecheng-7012	351	14	residual	residual	ADJ
fumecheng-7012	351	15	surface	surface	NOUN
fumecheng-7012	351	16	stress	stress	NOUN
fumecheng-7012	351	17	τ0	τ0	NOUN
fumecheng-7012	351	18	is	be	AUX
fumecheng-7012	351	19	assumed	assume	VERB
fumecheng-7012	351	20	zero	zero	NUM
fumecheng-7012	351	21	.	.	PUNCT
fumecheng-7012	352	1	to	to	PART
fumecheng-7012	352	2	investigate	investigate	VERB
fumecheng-7012	352	3	the	the	DET
fumecheng-7012	352	4	sensitivity	sensitivity	NOUN
fumecheng-7012	352	5	of	of	ADP
fumecheng-7012	352	6	the	the	DET
fumecheng-7012	352	7	effective	effective	ADJ
fumecheng-7012	352	8	young	young	ADJ
fumecheng-7012	352	9	’s	’s	PART
fumecheng-7012	352	10	modulus	modulus	NOUN
fumecheng-7012	352	11	,	,	PUNCT
fumecheng-7012	352	12	the	the	DET
fumecheng-7012	352	13	variation	variation	NOUN
fumecheng-7012	352	14	of	of	ADP
fumecheng-7012	352	15	the	the	DET
fumecheng-7012	352	16	nanowire	nanowire	ADJ
fumecheng-7012	352	17	and	and	CCONJ
fumecheng-7012	352	18	substrate	substrate	NOUN
fumecheng-7012	352	19	parameters	parameter	NOUN
fumecheng-7012	352	20	include	include	VERB
fumecheng-7012	352	21	the	the	DET
fumecheng-7012	352	22	nonlocal	nonlocal	ADJ
fumecheng-7012	352	23	-	-	PUNCT
fumecheng-7012	352	24	scale	scale	NOUN
fumecheng-7012	352	25	parameter	parameter	NOUN
fumecheng-7012	352	26	e0a	e0a	NOUN
fumecheng-7012	352	27	with	with	ADP
fumecheng-7012	352	28	0	0	NUM
fumecheng-7012	352	29	–	–	PUNCT
fumecheng-7012	352	30	200	200	NUM
fumecheng-7012	352	31	nm	nm	NOUN
fumecheng-7012	352	32	,	,	PUNCT
fumecheng-7012	352	33	the	the	DET
fumecheng-7012	352	34	nanowire	nanowire	ADJ
fumecheng-7012	352	35	diameter	diameter	NOUN
fumecheng-7012	352	36	d	d	NOUN
fumecheng-7012	352	37	with	with	ADP
fumecheng-7012	352	38	5	5	NUM
fumecheng-7012	352	39	–	–	SYM
fumecheng-7012	352	40	30	30	NUM
fumecheng-7012	352	41	nm	nm	NOUN
fumecheng-7012	352	42	,	,	PUNCT
fumecheng-7012	352	43	and	and	CCONJ
fumecheng-7012	352	44	the	the	DET
fumecheng-7012	352	45	substrate	substrate	NOUN
fumecheng-7012	352	46	modulus	modulus	NOUN
fumecheng-7012	352	47	ks	ks	NOUN
fumecheng-7012	352	48	with	with	ADP
fumecheng-7012	352	49	10	10	NUM
fumecheng-7012	352	50	–	–	SYM
fumecheng-7012	352	51	100	100	NUM
fumecheng-7012	352	52	nn	nn	NOUN
fumecheng-7012	352	53	/	/	SYM
fumecheng-7012	352	54	nm2	nm2	NOUN
fumecheng-7012	352	55	.	.	PUNCT
fumecheng-7012	353	1	the	the	DET
fumecheng-7012	353	2	method	method	NOUN
fumecheng-7012	353	3	to	to	PART
fumecheng-7012	353	4	examine	examine	VERB
fumecheng-7012	353	5	the	the	DET
fumecheng-7012	353	6	influence	influence	NOUN
fumecheng-7012	353	7	of	of	ADP
fumecheng-7012	353	8	the	the	DET
fumecheng-7012	353	9	size	size	NOUN
fumecheng-7012	353	10	effects	effect	NOUN
fumecheng-7012	353	11	on	on	ADP
fumecheng-7012	353	12	the	the	DET
fumecheng-7012	353	13	effective	effective	ADJ
fumecheng-7012	353	14	young	young	ADJ
fumecheng-7012	353	15	’s	’s	PART
fumecheng-7012	353	16	modulus	modulus	ADJ
fumecheng-7012	353	17	eeff	eeff	NOUN
fumecheng-7012	353	18	was	be	AUX
fumecheng-7012	353	19	adapted	adapt	VERB
fumecheng-7012	353	20	from	from	ADP
fumecheng-7012	353	21	he	he	PRON
fumecheng-7012	353	22	and	and	CCONJ
fumecheng-7012	353	23	lilley	lilley	PROPN
fumecheng-7012	354	1	[	[	X
fumecheng-7012	354	2	58	58	NUM
fumecheng-7012	354	3	]	]	PUNCT
fumecheng-7012	354	4	and	and	CCONJ
fumecheng-7012	354	5	jiang	jiang	PROPN
fumecheng-7012	354	6	and	and	CCONJ
fumecheng-7012	354	7	yan	yan	PROPN
fumecheng-7012	355	1	[	[	X
fumecheng-7012	355	2	62	62	NUM
fumecheng-7012	355	3	]	]	PUNCT
fumecheng-7012	355	4	,	,	PUNCT
fumecheng-7012	355	5	and	and	CCONJ
fumecheng-7012	355	6	has	have	AUX
fumecheng-7012	355	7	been	be	AUX
fumecheng-7012	355	8	widely	widely	ADV
fumecheng-7012	355	9	used	use	VERB
fumecheng-7012	355	10	[	[	PUNCT
fumecheng-7012	355	11	37	37	NUM
fumecheng-7012	355	12	,	,	PUNCT
fumecheng-7012	355	13	49	49	NUM
fumecheng-7012	355	14	]	]	PUNCT
fumecheng-7012	355	15	.	.	PUNCT
fumecheng-7012	356	1	in	in	ADP
fumecheng-7012	356	2	the	the	DET
fumecheng-7012	356	3	first	first	ADJ
fumecheng-7012	356	4	step	step	NOUN
fumecheng-7012	356	5	,	,	PUNCT
fumecheng-7012	356	6	the	the	DET
fumecheng-7012	356	7	end	end	NOUN
fumecheng-7012	356	8	displacement	displacement	ADJ
fumecheng-7012	356	9	uend	uend	NOUN
fumecheng-7012	356	10	including	include	VERB
fumecheng-7012	356	11	the	the	DET
fumecheng-7012	356	12	nonlocal	nonlocal	ADJ
fumecheng-7012	356	13	and	and	CCONJ
fumecheng-7012	356	14	surface	surface	NOUN
fumecheng-7012	356	15	effects	effect	NOUN
fumecheng-7012	356	16	was	be	AUX
fumecheng-7012	356	17	determined	determine	VERB
fumecheng-7012	356	18	from	from	ADP
fumecheng-7012	356	19	the	the	DET
fumecheng-7012	356	20	proposed	propose	VERB
fumecheng-7012	356	21	model	model	NOUN
fumecheng-7012	356	22	and	and	CCONJ
fumecheng-7012	356	23	the	the	DET
fumecheng-7012	356	24	second	second	ADJ
fumecheng-7012	356	25	-	-	PUNCT
fumecheng-7012	356	26	order	order	NOUN
fumecheng-7012	356	27	nonlocal	nonlocal	ADJ
fumecheng-7012	356	28	strain	strain	NOUN
fumecheng-7012	356	29	gradient	gradient	NOUN
fumecheng-7012	356	30	model	model	NOUN
fumecheng-7012	356	31	of	of	ADP
fumecheng-7012	356	32	sae	sae	PROPN
fumecheng-7012	356	33	-	-	PROPN
fumecheng-7012	356	34	long	long	ADJ
fumecheng-7012	356	35	et	et	PROPN
fumecheng-7012	356	36	al	al	PROPN
fumecheng-7012	356	37	.	.	PUNCT
fumecheng-7012	357	1	[	[	X
fumecheng-7012	357	2	37	37	NUM
fumecheng-7012	357	3	]	]	PUNCT
fumecheng-7012	357	4	,	,	PUNCT
fumecheng-7012	357	5	as	as	SCONJ
fumecheng-7012	357	6	shown	show	VERB
fumecheng-7012	357	7	on	on	ADP
fumecheng-7012	357	8	the	the	DET
fumecheng-7012	357	9	left	left	ADJ
fumecheng-7012	357	10	-	-	PUNCT
fumecheng-7012	357	11	hand	hand	NOUN
fumecheng-7012	357	12	side	side	NOUN
fumecheng-7012	357	13	of	of	ADP
fumecheng-7012	357	14	eq	eq	PROPN
fumecheng-7012	357	15	.	.	PUNCT
fumecheng-7012	358	1	(	(	PUNCT
fumecheng-7012	358	2	33	33	NUM
fumecheng-7012	358	3	)	)	PUNCT
fumecheng-7012	358	4	.	.	PUNCT
fumecheng-7012	359	1	then	then	ADV
fumecheng-7012	359	2	,	,	PUNCT
fumecheng-7012	359	3	the	the	DET
fumecheng-7012	359	4	effective	effective	ADJ
fumecheng-7012	359	5	young	young	ADJ
fumecheng-7012	359	6	’s	’s	PART
fumecheng-7012	359	7	modulus	modulus	ADJ
fumecheng-7012	359	8	eeff	eeff	NOUN
fumecheng-7012	359	9	is	be	AUX
fumecheng-7012	359	10	solved	solve	VERB
fumecheng-7012	359	11	from	from	ADP
fumecheng-7012	359	12	eq	eq	PROPN
fumecheng-7012	359	13	.	.	PUNCT
fumecheng-7012	360	1	(	(	PUNCT
fumecheng-7012	360	2	33	33	NUM
fumecheng-7012	360	3	)	)	PUNCT
fumecheng-7012	360	4	.	.	PUNCT
fumecheng-7012	361	1	coth	coth	PROPN
fumecheng-7012	361	2	s	s	PART
fumecheng-7012	361	3	end	end	NOUN
fumecheng-7012	361	4	eff	eff	PROPN
fumecheng-7012	361	5	end	end	NOUN
fumecheng-7012	361	6	s	s	PROPN
fumecheng-7012	361	7	eff	eff	PROPN
fumecheng-7012	361	8	k	k	PROPN
fumecheng-7012	361	9	p	p	PROPN
fumecheng-7012	361	10	l	l	X
fumecheng-7012	361	11	e	e	X
fumecheng-7012	361	12	a	a	DET
fumecheng-7012	361	13	u	u	X
fumecheng-7012	362	1	k	k	PROPN
fumecheng-7012	362	2	e	e	PROPN
fumecheng-7012	362	3	a	a	DET
fumecheng-7012	362	4			NOUN
fumecheng-7012	362	5			NOUN
fumecheng-7012	362	6			PROPN
fumecheng-7012	363	1			PROPN
fumecheng-7012	364	1			PROPN
fumecheng-7012	364	2			PROPN
fumecheng-7012	365	1			ADJ
fumecheng-7012	365	2			NOUN
fumecheng-7012	365	3	=	=	SYM
fumecheng-7012	365	4	(	(	PUNCT
fumecheng-7012	365	5	33	33	NUM
fumecheng-7012	365	6	)	)	PUNCT
fumecheng-7012	366	1	1,000l	1,000l	NUM
fumecheng-7012	366	2	nm=	nm=	PROPN
fumecheng-7012	366	3	elastic	elastic	ADJ
fumecheng-7012	366	4	substrate	substrate	NOUN
fumecheng-7012	366	5	medium	medium	ADJ
fumecheng-7012	366	6	elastic	elastic	ADJ
fumecheng-7012	366	7	substrate	substrate	NOUN
fumecheng-7012	366	8	medium	medium	ADJ
fumecheng-7012	366	9	10endp	10endp	NUM
fumecheng-7012	366	10	nn=	nn=	NOUN
fumecheng-7012	366	11	d	d	PROPN
fumecheng-7012	366	12	bar	bar	NOUN
fumecheng-7012	366	13	bulk	bulk	ADJ
fumecheng-7012	366	14	nanowire	nanowire	NOUN
fumecheng-7012	366	15	section	section	NOUN
fumecheng-7012	366	16	nanowire	nanowire	NOUN
fumecheng-7012	366	17	(	(	PUNCT
fumecheng-7012	366	18	anodic	anodic	ADJ
fumecheng-7012	366	19	alumina	alumina	NOUN
fumecheng-7012	366	20	):	):	PUNCT
fumecheng-7012	366	21	nonlocal	nonlocal	ADJ
fumecheng-7012	366	22	-	-	PUNCT
fumecheng-7012	366	23	scale	scale	NOUN
fumecheng-7012	366	24	parameter	parameter	NOUN
fumecheng-7012	366	25	:	:	PUNCT
fumecheng-7012	366	26	surface	surface	NOUN
fumecheng-7012	366	27	layer	layer	NOUN
fumecheng-7012	366	28	:	:	PUNCT
fumecheng-7012	366	29	substrate	substrate	NOUN
fumecheng-7012	366	30	modulus	modulus	NOUN
fumecheng-7012	366	31	:	:	PUNCT
fumecheng-7012	366	32	nanowire	nanowire	ADJ
fumecheng-7012	366	33	diameter	diameter	NOUN
fumecheng-7012	366	34	:	:	PUNCT
fumecheng-7012	366	35	70xxe	70xxe	VERB
fumecheng-7012	366	36	gpa=	gpa=	PROPN
fumecheng-7012	366	37	0	0	NUM
fumecheng-7012	366	38	0	0	NUM
fumecheng-7012	366	39	,	,	PUNCT
fumecheng-7012	366	40	50	50	NUM
fumecheng-7012	366	41	,	,	PUNCT
fumecheng-7012	366	42	100	100	NUM
fumecheng-7012	366	43	,	,	PUNCT
fumecheng-7012	366	44	150	150	NUM
fumecheng-7012	366	45	,	,	PUNCT
fumecheng-7012	366	46	200e	200e	PROPN
fumecheng-7012	366	47	a	a	DET
fumecheng-7012	366	48	nm=	nm=	NOUN
fumecheng-7012	366	49	05.1882	05.1882	NUM
fumecheng-7012	366	50	/	/	PUNCT
fumecheng-7012	366	51	;	;	PUNCT
fumecheng-7012	366	52	0	0	NUM
fumecheng-7012	366	53	/sure	/sure	SYM
fumecheng-7012	366	54	nn	nn	PROPN
fumecheng-7012	366	55	nm	nm	ADJ
fumecheng-7012	366	56	nn	nn	PROPN
fumecheng-7012	366	57	nm=	nm=	PROPN
fumecheng-7012	366	58	=	=	X
fumecheng-7012	366	59			NOUN
fumecheng-7012	366	60	210	210	NUM
fumecheng-7012	366	61	,	,	PUNCT
fumecheng-7012	366	62	25	25	NUM
fumecheng-7012	366	63	,	,	PUNCT
fumecheng-7012	366	64	50	50	NUM
fumecheng-7012	366	65	,	,	PUNCT
fumecheng-7012	366	66	100	100	NUM
fumecheng-7012	366	67	/sk	/sk	SYM
fumecheng-7012	366	68	nn	nn	NUM
fumecheng-7012	366	69	nm=	nm=	PROPN
fumecheng-7012	366	70	5	5	NUM
fumecheng-7012	366	71	,	,	PUNCT
fumecheng-7012	366	72	10	10	NUM
fumecheng-7012	366	73	,	,	PUNCT
fumecheng-7012	366	74	15	15	NUM
fumecheng-7012	366	75	,	,	PUNCT
fumecheng-7012	366	76	20	20	NUM
fumecheng-7012	366	77	,	,	PUNCT
fumecheng-7012	366	78	25	25	NUM
fumecheng-7012	366	79	,	,	PUNCT
fumecheng-7012	366	80	30d	30d	NUM
fumecheng-7012	366	81	nm=	nm=	NOUN
fumecheng-7012	366	82	674	674	NUM
fumecheng-7012	366	83	w.	w.	PROPN
fumecheng-7012	366	84	sae	sae	PROPN
fumecheng-7012	366	85	-	-	PROPN
fumecheng-7012	366	86	long	long	ADV
fumecheng-7012	366	87	,	,	PUNCT
fumecheng-7012	366	88	s.	s.	PROPN
fumecheng-7012	366	89	limkatanyu	limkatanyu	PROPN
fumecheng-7012	366	90	,	,	PUNCT
fumecheng-7012	366	91	p.	p.	NOUN
fumecheng-7012	366	92	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	366	93	,	,	PUNCT
fumecheng-7012	366	94	et	et	PROPN
fumecheng-7012	366	95	al	al	PROPN
fumecheng-7012	366	96	.	.	PUNCT
fumecheng-7012	367	1	it	it	PRON
fumecheng-7012	367	2	needs	need	VERB
fumecheng-7012	367	3	to	to	PART
fumecheng-7012	367	4	be	be	AUX
fumecheng-7012	367	5	pointed	point	VERB
fumecheng-7012	367	6	out	out	ADP
fumecheng-7012	367	7	that	that	SCONJ
fumecheng-7012	367	8	the	the	DET
fumecheng-7012	367	9	right	right	ADJ
fumecheng-7012	367	10	-	-	PUNCT
fumecheng-7012	367	11	hand	hand	NOUN
fumecheng-7012	367	12	side	side	NOUN
fumecheng-7012	367	13	of	of	ADP
fumecheng-7012	367	14	eq	eq	PROPN
fumecheng-7012	367	15	.	.	PUNCT
fumecheng-7012	368	1	(	(	PUNCT
fumecheng-7012	368	2	33	33	NUM
fumecheng-7012	368	3	)	)	PUNCT
fumecheng-7012	368	4	is	be	AUX
fumecheng-7012	368	5	the	the	DET
fumecheng-7012	368	6	end	end	NOUN
fumecheng-7012	368	7	displacement	displacement	NOUN
fumecheng-7012	368	8	based	base	VERB
fumecheng-7012	368	9	on	on	ADP
fumecheng-7012	368	10	the	the	DET
fumecheng-7012	368	11	classical	classical	ADJ
fumecheng-7012	368	12	bar	bar	NOUN
fumecheng-7012	368	13	model	model	NOUN
fumecheng-7012	368	14	on	on	ADP
fumecheng-7012	368	15	elastic	elastic	ADJ
fumecheng-7012	368	16	foundation	foundation	NOUN
fumecheng-7012	368	17	[	[	X
fumecheng-7012	368	18	63	63	NUM
fumecheng-7012	368	19	]	]	PUNCT
fumecheng-7012	368	20	(	(	PUNCT
fumecheng-7012	368	21	without	without	ADP
fumecheng-7012	368	22	nonlocal	nonlocal	ADJ
fumecheng-7012	368	23	and	and	CCONJ
fumecheng-7012	368	24	surface	surface	NOUN
fumecheng-7012	368	25	effects	effect	NOUN
fumecheng-7012	368	26	)	)	PUNCT
fumecheng-7012	368	27	.	.	PUNCT
fumecheng-7012	369	1	therefore	therefore	ADV
fumecheng-7012	369	2	,	,	PUNCT
fumecheng-7012	369	3	the	the	DET
fumecheng-7012	369	4	meaning	meaning	NOUN
fumecheng-7012	369	5	of	of	ADP
fumecheng-7012	369	6	the	the	DET
fumecheng-7012	369	7	effective	effective	ADJ
fumecheng-7012	369	8	young	young	ADJ
fumecheng-7012	369	9	’s	’s	PART
fumecheng-7012	369	10	modulus	modulus	ADJ
fumecheng-7012	369	11	eeff	eeff	NOUN
fumecheng-7012	369	12	in	in	ADP
fumecheng-7012	369	13	eq	eq	ADP
fumecheng-7012	369	14	.	.	PUNCT
fumecheng-7012	370	1	(	(	PUNCT
fumecheng-7012	370	2	33	33	NUM
fumecheng-7012	370	3	)	)	PUNCT
fumecheng-7012	370	4	is	be	AUX
fumecheng-7012	370	5	the	the	DET
fumecheng-7012	370	6	value	value	NOUN
fumecheng-7012	370	7	of	of	ADP
fumecheng-7012	370	8	young	young	ADJ
fumecheng-7012	370	9	’s	’s	PART
fumecheng-7012	370	10	modulus	modulus	NOUN
fumecheng-7012	370	11	that	that	PRON
fumecheng-7012	370	12	makes	make	VERB
fumecheng-7012	370	13	the	the	DET
fumecheng-7012	370	14	displacement	displacement	NOUN
fumecheng-7012	370	15	in	in	ADP
fumecheng-7012	370	16	the	the	DET
fumecheng-7012	370	17	local	local	ADJ
fumecheng-7012	370	18	nanowire	nanowire	ADJ
fumecheng-7012	370	19	-	-	PUNCT
fumecheng-7012	370	20	substrate	substrate	NOUN
fumecheng-7012	370	21	system	system	NOUN
fumecheng-7012	370	22	equal	equal	ADJ
fumecheng-7012	370	23	to	to	ADP
fumecheng-7012	370	24	the	the	DET
fumecheng-7012	370	25	displacement	displacement	NOUN
fumecheng-7012	370	26	in	in	ADP
fumecheng-7012	370	27	the	the	DET
fumecheng-7012	370	28	nonlocal	nonlocal	ADJ
fumecheng-7012	370	29	nanowire	nanowire	ADJ
fumecheng-7012	370	30	-	-	PUNCT
fumecheng-7012	370	31	substrate	substrate	NOUN
fumecheng-7012	370	32	system	system	NOUN
fumecheng-7012	370	33	with	with	ADP
fumecheng-7012	370	34	the	the	DET
fumecheng-7012	370	35	surface	surface	NOUN
fumecheng-7012	370	36	effect	effect	NOUN
fumecheng-7012	370	37	.	.	PUNCT
fumecheng-7012	371	1	from	from	ADP
fumecheng-7012	371	2	the	the	DET
fumecheng-7012	371	3	parametric	parametric	ADJ
fumecheng-7012	371	4	study	study	NOUN
fumecheng-7012	371	5	,	,	PUNCT
fumecheng-7012	371	6	it	it	PRON
fumecheng-7012	371	7	is	be	AUX
fumecheng-7012	371	8	clear	clear	ADJ
fumecheng-7012	371	9	that	that	SCONJ
fumecheng-7012	371	10	in	in	ADP
fumecheng-7012	371	11	all	all	DET
fumecheng-7012	371	12	the	the	DET
fumecheng-7012	371	13	cases	case	NOUN
fumecheng-7012	371	14	shown	show	VERB
fumecheng-7012	371	15	in	in	ADP
fumecheng-7012	371	16	fig	fig	NOUN
fumecheng-7012	371	17	.	.	PUNCT
fumecheng-7012	372	1	10	10	NUM
fumecheng-7012	372	2	the	the	DET
fumecheng-7012	372	3	effective	effective	ADJ
fumecheng-7012	372	4	young	young	ADJ
fumecheng-7012	372	5	’s	’s	PART
fumecheng-7012	372	6	modulus	modulus	ADJ
fumecheng-7012	372	7	eeff	eeff	NOUN
fumecheng-7012	372	8	increased	increase	VERB
fumecheng-7012	372	9	with	with	ADP
fumecheng-7012	372	10	the	the	DET
fumecheng-7012	372	11	nonlocal	nonlocal	ADJ
fumecheng-7012	372	12	-	-	PUNCT
fumecheng-7012	372	13	scale	scale	NOUN
fumecheng-7012	372	14	parameter	parameter	NOUN
fumecheng-7012	372	15	e0a	e0a	NOUN
fumecheng-7012	372	16	and	and	CCONJ
fumecheng-7012	372	17	decreased	decrease	VERB
fumecheng-7012	372	18	with	with	ADP
fumecheng-7012	372	19	the	the	DET
fumecheng-7012	372	20	nanowire	nanowire	ADJ
fumecheng-7012	372	21	diameter	diameter	NOUN
fumecheng-7012	372	22	d	d	NOUN
fumecheng-7012	372	23	,	,	PUNCT
fumecheng-7012	372	24	especially	especially	ADV
fumecheng-7012	372	25	with	with	ADP
fumecheng-7012	372	26	larger	large	ADJ
fumecheng-7012	372	27	magnitudes	magnitude	NOUN
fumecheng-7012	372	28	of	of	ADP
fumecheng-7012	372	29	the	the	DET
fumecheng-7012	372	30	substrate	substrate	NOUN
fumecheng-7012	372	31	modulus	modulus	ADJ
fumecheng-7012	372	32	ks	ks	NOUN
fumecheng-7012	372	33	.	.	PUNCT
fumecheng-7012	373	1	the	the	DET
fumecheng-7012	373	2	nanowire	nanowire	NOUN
fumecheng-7012	373	3	-	-	PUNCT
fumecheng-7012	373	4	substrate	substrate	NOUN
fumecheng-7012	373	5	interaction	interaction	NOUN
fumecheng-7012	373	6	with	with	ADP
fumecheng-7012	373	7	nonlocal	nonlocal	ADJ
fumecheng-7012	373	8	and	and	CCONJ
fumecheng-7012	373	9	surface	surface	NOUN
fumecheng-7012	373	10	energy	energy	NOUN
fumecheng-7012	373	11	effects	effect	NOUN
fumecheng-7012	373	12	plays	play	VERB
fumecheng-7012	373	13	an	an	DET
fumecheng-7012	373	14	important	important	ADJ
fumecheng-7012	373	15	role	role	NOUN
fumecheng-7012	373	16	in	in	ADP
fumecheng-7012	373	17	scale	scale	NOUN
fumecheng-7012	373	18	effects	effect	NOUN
fumecheng-7012	373	19	on	on	ADP
fumecheng-7012	373	20	the	the	DET
fumecheng-7012	373	21	effective	effective	ADJ
fumecheng-7012	373	22	young	young	ADJ
fumecheng-7012	373	23	’s	’s	PART
fumecheng-7012	373	24	modulus	modulus	ADJ
fumecheng-7012	373	25	eeff	eeff	NOUN
fumecheng-7012	373	26	.	.	PUNCT
fumecheng-7012	374	1	furthermore	furthermore	ADV
fumecheng-7012	374	2	,	,	PUNCT
fumecheng-7012	374	3	it	it	PRON
fumecheng-7012	374	4	can	can	AUX
fumecheng-7012	374	5	be	be	AUX
fumecheng-7012	374	6	observed	observe	VERB
fumecheng-7012	374	7	that	that	SCONJ
fumecheng-7012	374	8	the	the	DET
fumecheng-7012	374	9	variation	variation	NOUN
fumecheng-7012	374	10	of	of	ADP
fumecheng-7012	374	11	the	the	DET
fumecheng-7012	374	12	effective	effective	ADJ
fumecheng-7012	374	13	young	young	ADJ
fumecheng-7012	374	14	’s	’s	PART
fumecheng-7012	374	15	modulus	modulus	ADJ
fumecheng-7012	374	16	eeff	eeff	NOUN
fumecheng-7012	374	17	due	due	ADP
fumecheng-7012	374	18	to	to	ADP
fumecheng-7012	374	19	the	the	DET
fumecheng-7012	374	20	nanowire	nanowire	ADJ
fumecheng-7012	374	21	diameter	diameter	NOUN
fumecheng-7012	374	22	d	d	NOUN
fumecheng-7012	374	23	is	be	AUX
fumecheng-7012	374	24	independent	independent	ADJ
fumecheng-7012	374	25	on	on	ADP
fumecheng-7012	374	26	the	the	DET
fumecheng-7012	374	27	substrate	substrate	NOUN
fumecheng-7012	374	28	modulus	modulus	NOUN
fumecheng-7012	374	29	ks	ks	NOUN
fumecheng-7012	374	30	,	,	PUNCT
fumecheng-7012	374	31	when	when	SCONJ
fumecheng-7012	374	32	the	the	DET
fumecheng-7012	374	33	nonlocal	nonlocal	ADJ
fumecheng-7012	374	34	effect	effect	NOUN
fumecheng-7012	374	35	is	be	AUX
fumecheng-7012	374	36	not	not	PART
fumecheng-7012	374	37	included	include	VERB
fumecheng-7012	374	38	,	,	PUNCT
fumecheng-7012	374	39	as	as	SCONJ
fumecheng-7012	374	40	shown	show	VERB
fumecheng-7012	374	41	in	in	ADP
fumecheng-7012	374	42	eq	eq	ADP
fumecheng-7012	374	43	.	.	PUNCT
fumecheng-7012	375	1	(	(	PUNCT
fumecheng-7012	375	2	29	29	NUM
fumecheng-7012	375	3	)	)	PUNCT
fumecheng-7012	375	4	.	.	PUNCT
fumecheng-7012	376	1	finally	finally	ADV
fumecheng-7012	376	2	,	,	PUNCT
fumecheng-7012	376	3	the	the	DET
fumecheng-7012	376	4	added	add	VERB
fumecheng-7012	376	5	higher	high	ADJ
fumecheng-7012	376	6	-	-	PUNCT
fumecheng-7012	376	7	order	order	NOUN
fumecheng-7012	376	8	term	term	NOUN
fumecheng-7012	376	9	(	(	PUNCT
fumecheng-7012	376	10	fourth	fourth	ADJ
fumecheng-7012	376	11	-	-	PUNCT
fumecheng-7012	376	12	order	order	NOUN
fumecheng-7012	376	13	nonlocal	nonlocal	ADJ
fumecheng-7012	376	14	strain	strain	NOUN
fumecheng-7012	376	15	gradient	gradient	ADJ
fumecheng-7012	376	16	term	term	NOUN
fumecheng-7012	376	17	)	)	PUNCT
fumecheng-7012	376	18	of	of	ADP
fumecheng-7012	376	19	the	the	DET
fumecheng-7012	376	20	proposed	propose	VERB
fumecheng-7012	376	21	model	model	NOUN
fumecheng-7012	376	22	makes	make	VERB
fumecheng-7012	376	23	the	the	DET
fumecheng-7012	376	24	effective	effective	ADJ
fumecheng-7012	376	25	young	young	ADJ
fumecheng-7012	376	26	’s	’s	PART
fumecheng-7012	376	27	modulus	modulus	ADJ
fumecheng-7012	376	28	eeff	eeff	NOUN
fumecheng-7012	376	29	increase	increase	NOUN
fumecheng-7012	376	30	when	when	SCONJ
fumecheng-7012	376	31	compared	compare	VERB
fumecheng-7012	376	32	to	to	ADP
fumecheng-7012	376	33	the	the	DET
fumecheng-7012	376	34	second	second	ADJ
fumecheng-7012	376	35	-	-	PUNCT
fumecheng-7012	376	36	order	order	NOUN
fumecheng-7012	376	37	nonlocal	nonlocal	ADJ
fumecheng-7012	376	38	strain	strain	NOUN
fumecheng-7012	376	39	gradient	gradient	NOUN
fumecheng-7012	376	40	model	model	NOUN
fumecheng-7012	376	41	[	[	X
fumecheng-7012	376	42	37	37	NUM
fumecheng-7012	376	43	]	]	PUNCT
fumecheng-7012	376	44	.	.	PUNCT
fumecheng-7012	377	1	in	in	ADP
fumecheng-7012	377	2	order	order	NOUN
fumecheng-7012	377	3	to	to	PART
fumecheng-7012	377	4	investigate	investigate	VERB
fumecheng-7012	377	5	the	the	DET
fumecheng-7012	377	6	effects	effect	NOUN
fumecheng-7012	377	7	of	of	ADP
fumecheng-7012	377	8	the	the	DET
fumecheng-7012	377	9	added	add	VERB
fumecheng-7012	377	10	higher	high	ADJ
fumecheng-7012	377	11	-	-	PUNCT
fumecheng-7012	377	12	order	order	NOUN
fumecheng-7012	377	13	term	term	NOUN
fumecheng-7012	377	14	in	in	ADP
fumecheng-7012	377	15	the	the	DET
fumecheng-7012	377	16	nonlocal	nonlocal	ADJ
fumecheng-7012	377	17	strain	strain	NOUN
fumecheng-7012	377	18	gradient	gradient	NOUN
fumecheng-7012	377	19	model	model	NOUN
fumecheng-7012	377	20	on	on	ADP
fumecheng-7012	377	21	the	the	DET
fumecheng-7012	377	22	end	end	NOUN
fumecheng-7012	377	23	stiffness	stiffness	NOUN
fumecheng-7012	377	24	of	of	ADP
fumecheng-7012	377	25	the	the	DET
fumecheng-7012	377	26	nanowire	nanowire	ADJ
fumecheng-7012	377	27	-	-	PUNCT
fumecheng-7012	377	28	substrate	substrate	NOUN
fumecheng-7012	377	29	system	system	NOUN
fumecheng-7012	377	30	,	,	PUNCT
fumecheng-7012	377	31	this	this	DET
fumecheng-7012	377	32	study	study	NOUN
fumecheng-7012	377	33	defined	define	VERB
fumecheng-7012	377	34	the	the	DET
fumecheng-7012	377	35	end	end	NOUN
fumecheng-7012	377	36	stiffness	stiffness	NOUN
fumecheng-7012	377	37	as	as	ADP
fumecheng-7012	377	38	:	:	PUNCT
fumecheng-7012	377	39	andend	andend	NOUN
fumecheng-7012	377	40	end	end	NOUN
fumecheng-7012	377	41	str	str	AUX
fumecheng-7012	377	42	c	c	NOUN
fumecheng-7012	377	43	end	end	NOUN
fumecheng-7012	378	1	end	end	NOUN
fumecheng-7012	378	2	p	p	X
fumecheng-7012	378	3	p	p	X
fumecheng-7012	378	4	k	k	PROPN
fumecheng-7012	378	5	k	k	X
fumecheng-7012	378	6	u	u	X
fumecheng-7012	378	7	u	u	NOUN
fumecheng-7012	378	8	=	=	NOUN
fumecheng-7012	378	9	=	=	X
fumecheng-7012	378	10	(	(	PUNCT
fumecheng-7012	378	11	34	34	NUM
fumecheng-7012	378	12	)	)	PUNCT
fumecheng-7012	378	13	where	where	SCONJ
fumecheng-7012	378	14	kstr	kstr	PROPN
fumecheng-7012	378	15	and	and	CCONJ
fumecheng-7012	378	16	kc	kc	PROPN
fumecheng-7012	378	17	are	be	AUX
fumecheng-7012	378	18	the	the	DET
fumecheng-7012	378	19	end	end	NOUN
fumecheng-7012	378	20	stiffnesses	stiffness	NOUN
fumecheng-7012	378	21	corresponding	correspond	VERB
fumecheng-7012	378	22	to	to	ADP
fumecheng-7012	378	23	the	the	DET
fumecheng-7012	378	24	analytical	analytical	ADJ
fumecheng-7012	378	25	axial	axial	ADJ
fumecheng-7012	378	26	displacement	displacement	ADJ
fumecheng-7012	378	27	uend	uend	NOUN
fumecheng-7012	378	28	as	as	SCONJ
fumecheng-7012	378	29	obtained	obtain	VERB
fumecheng-7012	378	30	from	from	ADP
fumecheng-7012	378	31	the	the	DET
fumecheng-7012	378	32	nonlocal	nonlocal	ADJ
fumecheng-7012	378	33	strain	strain	NOUN
fumecheng-7012	378	34	gradient	gradient	NOUN
fumecheng-7012	378	35	models	model	NOUN
fumecheng-7012	378	36	and	and	CCONJ
fumecheng-7012	378	37	the	the	DET
fumecheng-7012	378	38	local	local	ADJ
fumecheng-7012	378	39	model	model	NOUN
fumecheng-7012	378	40	,	,	PUNCT
fumecheng-7012	378	41	respectively	respectively	ADV
fumecheng-7012	378	42	.	.	PUNCT
fumecheng-7012	379	1	this	this	DET
fumecheng-7012	379	2	approach	approach	NOUN
fumecheng-7012	379	3	modifies	modify	VERB
fumecheng-7012	379	4	the	the	DET
fumecheng-7012	379	5	method	method	NOUN
fumecheng-7012	379	6	to	to	PART
fumecheng-7012	379	7	determine	determine	VERB
fumecheng-7012	379	8	the	the	DET
fumecheng-7012	379	9	contact	contact	NOUN
fumecheng-7012	379	10	stiffness	stiffness	NOUN
fumecheng-7012	379	11	from	from	ADP
fumecheng-7012	379	12	jiang	jiang	PROPN
fumecheng-7012	379	13	and	and	CCONJ
fumecheng-7012	379	14	yan	yan	PROPN
fumecheng-7012	380	1	[	[	X
fumecheng-7012	380	2	62	62	NUM
fumecheng-7012	380	3	]	]	PUNCT
fumecheng-7012	380	4	,	,	PUNCT
fumecheng-7012	380	5	khajeansari	khajeansari	X
fumecheng-7012	380	6	et	et	PROPN
fumecheng-7012	380	7	al	al	PROPN
fumecheng-7012	380	8	.	.	PUNCT
fumecheng-7012	381	1	[	[	X
fumecheng-7012	381	2	64	64	NUM
fumecheng-7012	381	3	]	]	PUNCT
fumecheng-7012	381	4	,	,	PUNCT
fumecheng-7012	381	5	and	and	CCONJ
fumecheng-7012	381	6	limkatanyu	limkatanyu	VERB
fumecheng-7012	381	7	et	et	PROPN
fumecheng-7012	381	8	al	al	PROPN
fumecheng-7012	381	9	.	.	PUNCT
fumecheng-7012	382	1	[	[	X
fumecheng-7012	382	2	49	49	NUM
fumecheng-7012	382	3	]	]	PUNCT
fumecheng-7012	382	4	.	.	PUNCT
fumecheng-7012	383	1	fig	fig	NOUN
fumecheng-7012	383	2	.	.	PUNCT
fumecheng-7012	384	1	11	11	NUM
fumecheng-7012	384	2	presents	present	VERB
fumecheng-7012	384	3	the	the	DET
fumecheng-7012	384	4	normalized	normalized	ADJ
fumecheng-7012	384	5	end	end	NOUN
fumecheng-7012	384	6	stiffness	stiffness	NOUN
fumecheng-7012	384	7	kstr	kstr	PROPN
fumecheng-7012	384	8	/	/	SYM
fumecheng-7012	384	9	kc	kc	PROPN
fumecheng-7012	384	10	with	with	ADP
fumecheng-7012	384	11	varied	varied	ADJ
fumecheng-7012	384	12	nanowire	nanowire	ADJ
fumecheng-7012	384	13	diameter	diameter	NOUN
fumecheng-7012	384	14	d	d	NOUN
fumecheng-7012	384	15	,	,	PUNCT
fumecheng-7012	384	16	nonlocal	nonlocal	ADJ
fumecheng-7012	384	17	-	-	PUNCT
fumecheng-7012	384	18	scale	scale	NOUN
fumecheng-7012	384	19	parameter	parameter	NOUN
fumecheng-7012	384	20	e0a	e0a	PROPN
fumecheng-7012	384	21	,	,	PUNCT
fumecheng-7012	384	22	and	and	CCONJ
fumecheng-7012	384	23	substrate	substrate	NOUN
fumecheng-7012	384	24	modulus	modulus	ADJ
fumecheng-7012	384	25	ks	ks	NOUN
fumecheng-7012	384	26	.	.	PROPN
fumecheng-7012	384	27	based	base	VERB
fumecheng-7012	384	28	on	on	ADP
fumecheng-7012	384	29	these	these	DET
fumecheng-7012	384	30	results	result	NOUN
fumecheng-7012	384	31	,	,	PUNCT
fumecheng-7012	384	32	the	the	DET
fumecheng-7012	384	33	influences	influence	NOUN
fumecheng-7012	384	34	of	of	ADP
fumecheng-7012	384	35	small	small	ADJ
fumecheng-7012	384	36	-	-	PUNCT
fumecheng-7012	384	37	scale	scale	NOUN
fumecheng-7012	384	38	,	,	PUNCT
fumecheng-7012	384	39	size	size	NOUN
fumecheng-7012	384	40	-	-	PUNCT
fumecheng-7012	384	41	dependent	dependent	ADJ
fumecheng-7012	384	42	,	,	PUNCT
fumecheng-7012	384	43	and	and	CCONJ
fumecheng-7012	384	44	nanowire	nanowire	ADJ
fumecheng-7012	384	45	-	-	PUNCT
fumecheng-7012	384	46	substrate	substrate	NOUN
fumecheng-7012	384	47	interaction	interaction	NOUN
fumecheng-7012	384	48	effects	effect	NOUN
fumecheng-7012	384	49	on	on	ADP
fumecheng-7012	384	50	stiffness	stiffness	NOUN
fumecheng-7012	384	51	matches	match	VERB
fumecheng-7012	384	52	the	the	DET
fumecheng-7012	384	53	observations	observation	NOUN
fumecheng-7012	384	54	in	in	ADP
fumecheng-7012	384	55	the	the	DET
fumecheng-7012	384	56	parametric	parametric	ADJ
fumecheng-7012	384	57	study	study	NOUN
fumecheng-7012	384	58	of	of	ADP
fumecheng-7012	384	59	fig	fig	NOUN
fumecheng-7012	384	60	.	.	PUNCT
fumecheng-7012	385	1	10	10	NUM
fumecheng-7012	385	2	.	.	PUNCT
fumecheng-7012	386	1	the	the	DET
fumecheng-7012	386	2	gradient	gradient	ADJ
fumecheng-7012	386	3	terms	term	NOUN
fumecheng-7012	386	4	are	be	AUX
fumecheng-7012	386	5	nullified	nullify	VERB
fumecheng-7012	386	6	when	when	SCONJ
fumecheng-7012	386	7	nonlocality	nonlocality	NOUN
fumecheng-7012	386	8	is	be	AUX
fumecheng-7012	386	9	not	not	PART
fumecheng-7012	386	10	included	include	VERB
fumecheng-7012	386	11	(	(	PUNCT
fumecheng-7012	386	12	e0a	e0a	PROPN
fumecheng-7012	386	13	=	=	SYM
fumecheng-7012	386	14	0	0	NUM
fumecheng-7012	386	15	)	)	PUNCT
fumecheng-7012	386	16	.	.	PUNCT
fumecheng-7012	387	1	furthermore	furthermore	ADV
fumecheng-7012	387	2	,	,	PUNCT
fumecheng-7012	387	3	the	the	DET
fumecheng-7012	387	4	influence	influence	NOUN
fumecheng-7012	387	5	of	of	ADP
fumecheng-7012	387	6	the	the	DET
fumecheng-7012	387	7	higher	high	ADJ
fumecheng-7012	387	8	-	-	PUNCT
fumecheng-7012	387	9	order	order	NOUN
fumecheng-7012	387	10	term	term	NOUN
fumecheng-7012	387	11	in	in	ADP
fumecheng-7012	387	12	the	the	DET
fumecheng-7012	387	13	fourth	fourth	ADJ
fumecheng-7012	387	14	-	-	PUNCT
fumecheng-7012	387	15	order	order	NOUN
fumecheng-7012	387	16	nonlocal	nonlocal	ADJ
fumecheng-7012	387	17	strain	strain	NOUN
fumecheng-7012	387	18	gradient	gradient	NOUN
fumecheng-7012	387	19	model	model	NOUN
fumecheng-7012	387	20	is	be	AUX
fumecheng-7012	387	21	more	more	ADV
fumecheng-7012	387	22	pronounced	pronounced	ADJ
fumecheng-7012	387	23	than	than	ADP
fumecheng-7012	387	24	that	that	PRON
fumecheng-7012	387	25	of	of	ADP
fumecheng-7012	387	26	the	the	DET
fumecheng-7012	387	27	highest	high	ADJ
fumecheng-7012	387	28	term	term	NOUN
fumecheng-7012	387	29	in	in	ADP
fumecheng-7012	387	30	the	the	DET
fumecheng-7012	387	31	second	second	ADJ
fumecheng-7012	387	32	-	-	PUNCT
fumecheng-7012	387	33	order	order	NOUN
fumecheng-7012	387	34	nonlocal	nonlocal	ADJ
fumecheng-7012	387	35	strain	strain	NOUN
fumecheng-7012	387	36	gradient	gradient	NOUN
fumecheng-7012	387	37	model	model	NOUN
fumecheng-7012	387	38	,	,	PUNCT
fumecheng-7012	387	39	especially	especially	ADV
fumecheng-7012	387	40	when	when	SCONJ
fumecheng-7012	387	41	the	the	DET
fumecheng-7012	387	42	diameter	diameter	NOUN
fumecheng-7012	387	43	of	of	ADP
fumecheng-7012	387	44	the	the	DET
fumecheng-7012	387	45	nanowire	nanowire	NOUN
fumecheng-7012	387	46	is	be	AUX
fumecheng-7012	387	47	small	small	ADJ
fumecheng-7012	387	48	and	and	CCONJ
fumecheng-7012	387	49	the	the	DET
fumecheng-7012	387	50	nonlocal	nonlocal	ADJ
fumecheng-7012	387	51	-	-	PUNCT
fumecheng-7012	387	52	scale	scale	NOUN
fumecheng-7012	387	53	parameter	parameter	NOUN
fumecheng-7012	387	54	and	and	CCONJ
fumecheng-7012	387	55	the	the	DET
fumecheng-7012	387	56	substrate	substrate	NOUN
fumecheng-7012	387	57	modulus	modulus	NOUN
fumecheng-7012	387	58	are	be	AUX
fumecheng-7012	387	59	comparatively	comparatively	ADV
fumecheng-7012	387	60	large	large	ADJ
fumecheng-7012	387	61	.	.	PUNCT
fumecheng-7012	388	1	this	this	DET
fumecheng-7012	388	2	observation	observation	NOUN
fumecheng-7012	388	3	is	be	AUX
fumecheng-7012	388	4	clear	clear	ADJ
fumecheng-7012	388	5	when	when	SCONJ
fumecheng-7012	388	6	compared	compare	VERB
fumecheng-7012	388	7	to	to	ADP
fumecheng-7012	388	8	the	the	DET
fumecheng-7012	388	9	end	end	NOUN
fumecheng-7012	388	10	boundary	boundary	ADJ
fumecheng-7012	388	11	forces	force	NOUN
fumecheng-7012	388	12	of	of	ADP
fumecheng-7012	388	13	each	each	DET
fumecheng-7012	388	14	model	model	NOUN
fumecheng-7012	388	15	,	,	PUNCT
fumecheng-7012	388	16	seen	see	VERB
fumecheng-7012	388	17	in	in	ADP
fumecheng-7012	388	18	eq	eq	ADP
fumecheng-7012	388	19	.	.	PUNCT
fumecheng-7012	389	1	(	(	PUNCT
fumecheng-7012	389	2	31	31	NUM
fumecheng-7012	389	3	)	)	PUNCT
fumecheng-7012	389	4	.	.	PUNCT
fumecheng-7012	390	1	fourth	fourth	ADJ
fumecheng-7012	390	2	-	-	PUNCT
fumecheng-7012	390	3	order	order	NOUN
fumecheng-7012	390	4	strain	strain	VERB
fumecheng-7012	390	5	gradient	gradient	ADJ
fumecheng-7012	390	6	bar	bar	NOUN
fumecheng-7012	390	7	-	-	PUNCT
fumecheng-7012	390	8	substrate	substrate	NOUN
fumecheng-7012	390	9	model	model	NOUN
fumecheng-7012	390	10	with	with	ADP
fumecheng-7012	390	11	nonlocal	nonlocal	ADJ
fumecheng-7012	390	12	and	and	CCONJ
fumecheng-7012	390	13	surface	surface	NOUN
fumecheng-7012	390	14	effects	effect	NOUN
fumecheng-7012	390	15	...	...	PUNCT
fumecheng-7012	390	16	675	675	NUM
fumecheng-7012	390	17	fig	fig	NOUN
fumecheng-7012	390	18	.	.	PUNCT
fumecheng-7012	391	1	10	10	NUM
fumecheng-7012	391	2	sensitivity	sensitivity	NOUN
fumecheng-7012	391	3	of	of	ADP
fumecheng-7012	391	4	the	the	DET
fumecheng-7012	391	5	effective	effective	ADJ
fumecheng-7012	391	6	young	young	ADJ
fumecheng-7012	391	7	’s	’s	PART
fumecheng-7012	391	8	modulus	modulus	NOUN
fumecheng-7012	391	9	to	to	ADP
fumecheng-7012	391	10	nanowire	nanowire	ADJ
fumecheng-7012	391	11	diameter	diameter	NOUN
fumecheng-7012	391	12	,	,	PUNCT
fumecheng-7012	391	13	nonlocal	nonlocal	ADJ
fumecheng-7012	391	14	scale	scale	NOUN
fumecheng-7012	391	15	parameter	parameter	NOUN
fumecheng-7012	391	16	,	,	PUNCT
fumecheng-7012	391	17	and	and	CCONJ
fumecheng-7012	391	18	substrate	substrate	NOUN
fumecheng-7012	391	19	modulus	modulus	NOUN
fumecheng-7012	391	20	obtained	obtain	VERB
fumecheng-7012	391	21	from	from	ADP
fumecheng-7012	391	22	the	the	DET
fumecheng-7012	391	23	proposed	propose	VERB
fumecheng-7012	391	24	model	model	NOUN
fumecheng-7012	391	25	and	and	CCONJ
fumecheng-7012	391	26	the	the	DET
fumecheng-7012	391	27	second	second	ADJ
fumecheng-7012	391	28	-	-	PUNCT
fumecheng-7012	391	29	order	order	NOUN
fumecheng-7012	391	30	nonlocal	nonlocal	ADJ
fumecheng-7012	391	31	strain	strain	NOUN
fumecheng-7012	391	32	gradient	gradient	NOUN
fumecheng-7012	391	33	model	model	NOUN
fumecheng-7012	391	34	0	0	NUM
fumecheng-7012	391	35	700	700	NUM
fumecheng-7012	391	36	1400	1400	NUM
fumecheng-7012	391	37	2100	2100	NUM
fumecheng-7012	391	38	2800	2800	NUM
fumecheng-7012	391	39	3500	3500	NUM
fumecheng-7012	391	40	4200	4200	NUM
fumecheng-7012	391	41	3500	3500	NUM
fumecheng-7012	391	42	-	-	SYM
fumecheng-7012	391	43	4200	4200	NUM
fumecheng-7012	391	44	2800	2800	NUM
fumecheng-7012	391	45	-	-	SYM
fumecheng-7012	391	46	3500	3500	NUM
fumecheng-7012	391	47	2100	2100	NUM
fumecheng-7012	391	48	-	-	SYM
fumecheng-7012	391	49	2800	2800	NUM
fumecheng-7012	391	50	1400	1400	NUM
fumecheng-7012	391	51	-	-	SYM
fumecheng-7012	391	52	2100	2100	NUM
fumecheng-7012	391	53	700	700	NUM
fumecheng-7012	391	54	-	-	SYM
fumecheng-7012	391	55	1400	1400	NUM
fumecheng-7012	391	56	0	0	NUM
fumecheng-7012	391	57	-	-	SYM
fumecheng-7012	391	58	700	700	NUM
fumecheng-7012	391	59	210	210	NUM
fumecheng-7012	391	60	/sk	/sk	SYM
fumecheng-7012	391	61	nn	nn	X
fumecheng-7012	391	62	nm=	nm=	PROPN
fumecheng-7012	391	63	e	e	X
fumecheng-7012	391	64	(	(	PUNCT
fumecheng-7012	391	65	g	g	PROPN
fumecheng-7012	391	66	p	p	NOUN
fumecheng-7012	391	67	a	a	PRON
fumecheng-7012	391	68	)	)	PUNCT
fumecheng-7012	391	69	ef	ef	PROPN
fumecheng-7012	391	70	f	f	PROPN
fumecheng-7012	391	71	b	b	PROPN
fumecheng-7012	391	72	proposed	propose	VERB
fumecheng-7012	391	73	model	model	NOUN
fumecheng-7012	391	74	0	0	NUM
fumecheng-7012	391	75	700	700	NUM
fumecheng-7012	391	76	1400	1400	NUM
fumecheng-7012	391	77	2100	2100	NUM
fumecheng-7012	391	78	2800	2800	NUM
fumecheng-7012	391	79	3500	3500	NUM
fumecheng-7012	391	80	4200	4200	NUM
fumecheng-7012	391	81	3500	3500	NUM
fumecheng-7012	391	82	-	-	SYM
fumecheng-7012	391	83	4200	4200	NUM
fumecheng-7012	391	84	2800	2800	NUM
fumecheng-7012	391	85	-	-	SYM
fumecheng-7012	391	86	3500	3500	NUM
fumecheng-7012	391	87	2100	2100	NUM
fumecheng-7012	391	88	-	-	SYM
fumecheng-7012	391	89	2800	2800	NUM
fumecheng-7012	391	90	1400	1400	NUM
fumecheng-7012	391	91	-	-	SYM
fumecheng-7012	391	92	2100	2100	NUM
fumecheng-7012	391	93	700	700	NUM
fumecheng-7012	391	94	-	-	SYM
fumecheng-7012	391	95	1400	1400	NUM
fumecheng-7012	391	96	0	0	NUM
fumecheng-7012	391	97	-	-	SYM
fumecheng-7012	391	98	700	700	NUM
fumecheng-7012	391	99	second	second	ADJ
fumecheng-7012	391	100	-	-	PUNCT
fumecheng-7012	391	101	order	order	NOUN
fumecheng-7012	391	102	strain	strain	NOUN
fumecheng-7012	391	103	gradient	gradient	ADJ
fumecheng-7012	391	104	model	model	NOUN
fumecheng-7012	391	105	210	210	NUM
fumecheng-7012	391	106	/sk	/sk	SYM
fumecheng-7012	391	107	nn	nn	NUM
fumecheng-7012	391	108	nm=	nm=	PROPN
fumecheng-7012	391	109	e	e	X
fumecheng-7012	391	110	(	(	PUNCT
fumecheng-7012	391	111	g	g	PROPN
fumecheng-7012	391	112	p	p	NOUN
fumecheng-7012	391	113	a	a	PRON
fumecheng-7012	391	114	)	)	PUNCT
fumecheng-7012	391	115	ef	ef	PROPN
fumecheng-7012	391	116	f	f	PROPN
fumecheng-7012	391	117	b	b	PROPN
fumecheng-7012	391	118	0	0	NUM
fumecheng-7012	391	119	700	700	NUM
fumecheng-7012	391	120	1400	1400	NUM
fumecheng-7012	391	121	2100	2100	NUM
fumecheng-7012	391	122	2800	2800	NUM
fumecheng-7012	391	123	3500	3500	NUM
fumecheng-7012	391	124	4200	4200	NUM
fumecheng-7012	391	125	3500	3500	NUM
fumecheng-7012	391	126	-	-	SYM
fumecheng-7012	391	127	4200	4200	NUM
fumecheng-7012	391	128	2800	2800	NUM
fumecheng-7012	391	129	-	-	SYM
fumecheng-7012	391	130	3500	3500	NUM
fumecheng-7012	391	131	2100	2100	NUM
fumecheng-7012	391	132	-	-	SYM
fumecheng-7012	391	133	2800	2800	NUM
fumecheng-7012	391	134	1400	1400	NUM
fumecheng-7012	391	135	-	-	SYM
fumecheng-7012	391	136	2100	2100	NUM
fumecheng-7012	391	137	700	700	NUM
fumecheng-7012	391	138	-	-	SYM
fumecheng-7012	391	139	1400	1400	NUM
fumecheng-7012	391	140	0	0	NUM
fumecheng-7012	391	141	-	-	SYM
fumecheng-7012	391	142	700	700	NUM
fumecheng-7012	391	143	proposed	propose	VERB
fumecheng-7012	391	144	model	model	NOUN
fumecheng-7012	391	145	e	e	PROPN
fumecheng-7012	391	146	(	(	PUNCT
fumecheng-7012	391	147	g	g	PROPN
fumecheng-7012	391	148	p	p	NOUN
fumecheng-7012	391	149	a	a	PRON
fumecheng-7012	391	150	)	)	PUNCT
fumecheng-7012	391	151	ef	ef	PROPN
fumecheng-7012	391	152	f	f	PROPN
fumecheng-7012	391	153	b	b	PROPN
fumecheng-7012	391	154	225	225	NUM
fumecheng-7012	391	155	/sk	/sk	SYM
fumecheng-7012	391	156	nn	nn	NUM
fumecheng-7012	391	157	nm=	nm=	PROPN
fumecheng-7012	391	158	0	0	NUM
fumecheng-7012	391	159	700	700	NUM
fumecheng-7012	391	160	1400	1400	NUM
fumecheng-7012	391	161	2100	2100	NUM
fumecheng-7012	391	162	2800	2800	NUM
fumecheng-7012	391	163	3500	3500	NUM
fumecheng-7012	391	164	4200	4200	NUM
fumecheng-7012	391	165	3500	3500	NUM
fumecheng-7012	391	166	-	-	SYM
fumecheng-7012	391	167	4200	4200	NUM
fumecheng-7012	391	168	2800	2800	NUM
fumecheng-7012	391	169	-	-	SYM
fumecheng-7012	391	170	3500	3500	NUM
fumecheng-7012	391	171	2100	2100	NUM
fumecheng-7012	391	172	-	-	SYM
fumecheng-7012	391	173	2800	2800	NUM
fumecheng-7012	391	174	1400	1400	NUM
fumecheng-7012	391	175	-	-	SYM
fumecheng-7012	391	176	2100	2100	NUM
fumecheng-7012	391	177	700	700	NUM
fumecheng-7012	391	178	-	-	SYM
fumecheng-7012	391	179	1400	1400	NUM
fumecheng-7012	391	180	0	0	NUM
fumecheng-7012	391	181	-	-	SYM
fumecheng-7012	391	182	700	700	NUM
fumecheng-7012	391	183	second	second	ADJ
fumecheng-7012	391	184	-	-	PUNCT
fumecheng-7012	391	185	order	order	NOUN
fumecheng-7012	391	186	strain	strain	NOUN
fumecheng-7012	391	187	gradient	gradient	NOUN
fumecheng-7012	391	188	model	model	NOUN
fumecheng-7012	391	189	225	225	NUM
fumecheng-7012	391	190	/sk	/sk	SYM
fumecheng-7012	391	191	nn	nn	NUM
fumecheng-7012	391	192	nm=	nm=	PROPN
fumecheng-7012	391	193	e	e	X
fumecheng-7012	391	194	(	(	PUNCT
fumecheng-7012	391	195	g	g	PROPN
fumecheng-7012	391	196	p	p	NOUN
fumecheng-7012	391	197	a	a	PRON
fumecheng-7012	391	198	)	)	PUNCT
fumecheng-7012	391	199	ef	ef	PROPN
fumecheng-7012	391	200	f	f	PROPN
fumecheng-7012	391	201	b	b	PROPN
fumecheng-7012	391	202	0	0	NUM
fumecheng-7012	391	203	700	700	NUM
fumecheng-7012	391	204	1400	1400	NUM
fumecheng-7012	391	205	2100	2100	NUM
fumecheng-7012	391	206	2800	2800	NUM
fumecheng-7012	391	207	3500	3500	NUM
fumecheng-7012	391	208	4200	4200	NUM
fumecheng-7012	391	209	3500	3500	NUM
fumecheng-7012	391	210	-	-	SYM
fumecheng-7012	391	211	4200	4200	NUM
fumecheng-7012	391	212	2800	2800	NUM
fumecheng-7012	391	213	-	-	SYM
fumecheng-7012	391	214	3500	3500	NUM
fumecheng-7012	391	215	2100	2100	NUM
fumecheng-7012	391	216	-	-	SYM
fumecheng-7012	391	217	2800	2800	NUM
fumecheng-7012	391	218	1400	1400	NUM
fumecheng-7012	391	219	-	-	SYM
fumecheng-7012	391	220	2100	2100	NUM
fumecheng-7012	391	221	700	700	NUM
fumecheng-7012	391	222	-	-	SYM
fumecheng-7012	391	223	1400	1400	NUM
fumecheng-7012	391	224	0	0	NUM
fumecheng-7012	391	225	-	-	SYM
fumecheng-7012	391	226	700	700	NUM
fumecheng-7012	391	227	250	250	NUM
fumecheng-7012	391	228	/sk	/sk	SYM
fumecheng-7012	391	229	nn	nn	NUM
fumecheng-7012	391	230	nm=	nm=	PROPN
fumecheng-7012	391	231	proposed	propose	VERB
fumecheng-7012	391	232	model	model	NOUN
fumecheng-7012	391	233	e	e	PROPN
fumecheng-7012	391	234	(	(	PUNCT
fumecheng-7012	391	235	g	g	PROPN
fumecheng-7012	391	236	p	p	NOUN
fumecheng-7012	391	237	a	a	PRON
fumecheng-7012	391	238	)	)	PUNCT
fumecheng-7012	391	239	ef	ef	PROPN
fumecheng-7012	391	240	f	f	PROPN
fumecheng-7012	391	241	b	b	PROPN
fumecheng-7012	391	242	0	0	NUM
fumecheng-7012	391	243	700	700	NUM
fumecheng-7012	391	244	1400	1400	NUM
fumecheng-7012	391	245	2100	2100	NUM
fumecheng-7012	391	246	2800	2800	NUM
fumecheng-7012	391	247	3500	3500	NUM
fumecheng-7012	391	248	4200	4200	NUM
fumecheng-7012	391	249	3500	3500	NUM
fumecheng-7012	391	250	-	-	SYM
fumecheng-7012	391	251	4200	4200	NUM
fumecheng-7012	391	252	2800	2800	NUM
fumecheng-7012	391	253	-	-	SYM
fumecheng-7012	391	254	3500	3500	NUM
fumecheng-7012	391	255	2100	2100	NUM
fumecheng-7012	391	256	-	-	SYM
fumecheng-7012	391	257	2800	2800	NUM
fumecheng-7012	391	258	1400	1400	NUM
fumecheng-7012	391	259	-	-	SYM
fumecheng-7012	391	260	2100	2100	NUM
fumecheng-7012	391	261	700	700	NUM
fumecheng-7012	391	262	-	-	SYM
fumecheng-7012	391	263	1400	1400	NUM
fumecheng-7012	391	264	0	0	NUM
fumecheng-7012	391	265	-	-	SYM
fumecheng-7012	391	266	700	700	NUM
fumecheng-7012	391	267	second	second	ADJ
fumecheng-7012	391	268	-	-	PUNCT
fumecheng-7012	391	269	order	order	NOUN
fumecheng-7012	391	270	strain	strain	NOUN
fumecheng-7012	391	271	gradient	gradient	NOUN
fumecheng-7012	391	272	model	model	NOUN
fumecheng-7012	391	273	250	250	NUM
fumecheng-7012	391	274	/sk	/sk	SYM
fumecheng-7012	391	275	nn	nn	NUM
fumecheng-7012	391	276	nm=	nm=	PROPN
fumecheng-7012	391	277	e	e	X
fumecheng-7012	391	278	(	(	PUNCT
fumecheng-7012	391	279	g	g	PROPN
fumecheng-7012	391	280	p	p	NOUN
fumecheng-7012	391	281	a	a	PRON
fumecheng-7012	391	282	)	)	PUNCT
fumecheng-7012	391	283	ef	ef	PROPN
fumecheng-7012	391	284	f	f	PROPN
fumecheng-7012	391	285	b	b	PROPN
fumecheng-7012	391	286	0	0	NUM
fumecheng-7012	391	287	700	700	NUM
fumecheng-7012	391	288	1400	1400	NUM
fumecheng-7012	391	289	2100	2100	NUM
fumecheng-7012	391	290	2800	2800	NUM
fumecheng-7012	391	291	3500	3500	NUM
fumecheng-7012	391	292	4200	4200	NUM
fumecheng-7012	391	293	3500	3500	NUM
fumecheng-7012	391	294	-	-	SYM
fumecheng-7012	391	295	4200	4200	NUM
fumecheng-7012	391	296	2800	2800	NUM
fumecheng-7012	391	297	-	-	SYM
fumecheng-7012	391	298	3500	3500	NUM
fumecheng-7012	391	299	2100	2100	NUM
fumecheng-7012	391	300	-	-	SYM
fumecheng-7012	391	301	2800	2800	NUM
fumecheng-7012	391	302	1400	1400	NUM
fumecheng-7012	391	303	-	-	SYM
fumecheng-7012	391	304	2100	2100	NUM
fumecheng-7012	391	305	700	700	NUM
fumecheng-7012	391	306	-	-	SYM
fumecheng-7012	391	307	1400	1400	NUM
fumecheng-7012	391	308	0	0	NUM
fumecheng-7012	391	309	-	-	SYM
fumecheng-7012	391	310	700	700	NUM
fumecheng-7012	391	311	2100	2100	NUM
fumecheng-7012	391	312	/sk	/sk	SYM
fumecheng-7012	391	313	nn	nn	NUM
fumecheng-7012	391	314	nm=	nm=	PROPN
fumecheng-7012	391	315	proposed	propose	VERB
fumecheng-7012	391	316	model	model	NOUN
fumecheng-7012	391	317	e	e	PROPN
fumecheng-7012	391	318	(	(	PUNCT
fumecheng-7012	391	319	g	g	PROPN
fumecheng-7012	391	320	p	p	NOUN
fumecheng-7012	391	321	a	a	PRON
fumecheng-7012	391	322	)	)	PUNCT
fumecheng-7012	391	323	ef	ef	PROPN
fumecheng-7012	391	324	f	f	PROPN
fumecheng-7012	391	325	b	b	PROPN
fumecheng-7012	391	326	0	0	NUM
fumecheng-7012	391	327	700	700	NUM
fumecheng-7012	391	328	1400	1400	NUM
fumecheng-7012	391	329	2100	2100	NUM
fumecheng-7012	391	330	2800	2800	NUM
fumecheng-7012	391	331	3500	3500	NUM
fumecheng-7012	391	332	4200	4200	NUM
fumecheng-7012	391	333	3500	3500	NUM
fumecheng-7012	391	334	-	-	SYM
fumecheng-7012	391	335	4200	4200	NUM
fumecheng-7012	391	336	2800	2800	NUM
fumecheng-7012	391	337	-	-	SYM
fumecheng-7012	391	338	3500	3500	NUM
fumecheng-7012	391	339	2100	2100	NUM
fumecheng-7012	391	340	-	-	SYM
fumecheng-7012	391	341	2800	2800	NUM
fumecheng-7012	391	342	1400	1400	NUM
fumecheng-7012	391	343	-	-	SYM
fumecheng-7012	391	344	2100	2100	NUM
fumecheng-7012	391	345	700	700	NUM
fumecheng-7012	391	346	-	-	SYM
fumecheng-7012	391	347	1400	1400	NUM
fumecheng-7012	391	348	0	0	NUM
fumecheng-7012	391	349	-	-	SYM
fumecheng-7012	391	350	700	700	NUM
fumecheng-7012	391	351	second	second	ADJ
fumecheng-7012	391	352	-	-	PUNCT
fumecheng-7012	391	353	order	order	NOUN
fumecheng-7012	391	354	strain	strain	NOUN
fumecheng-7012	391	355	gradient	gradient	NOUN
fumecheng-7012	391	356	model	model	NOUN
fumecheng-7012	391	357	2100	2100	NUM
fumecheng-7012	391	358	/sk	/sk	SYM
fumecheng-7012	392	1	nn	nn	NUM
fumecheng-7012	392	2	nm=	nm=	PROPN
fumecheng-7012	392	3	e	e	X
fumecheng-7012	392	4	(	(	PUNCT
fumecheng-7012	392	5	g	g	PROPN
fumecheng-7012	392	6	p	p	NOUN
fumecheng-7012	392	7	a	a	PRON
fumecheng-7012	392	8	)	)	PUNCT
fumecheng-7012	392	9	ef	ef	PROPN
fumecheng-7012	392	10	f	f	PROPN
fumecheng-7012	392	11	b	b	PROPN
fumecheng-7012	392	12	676	676	NUM
fumecheng-7012	392	13	w.	w.	PROPN
fumecheng-7012	392	14	sae	sae	PROPN
fumecheng-7012	392	15	-	-	PROPN
fumecheng-7012	392	16	long	long	ADV
fumecheng-7012	392	17	,	,	PUNCT
fumecheng-7012	392	18	s.	s.	PROPN
fumecheng-7012	392	19	limkatanyu	limkatanyu	PROPN
fumecheng-7012	392	20	,	,	PUNCT
fumecheng-7012	392	21	p.	p.	NOUN
fumecheng-7012	392	22	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	392	23	,	,	PUNCT
fumecheng-7012	392	24	et	et	PROPN
fumecheng-7012	392	25	al	al	PROPN
fumecheng-7012	392	26	.	.	PROPN
fumecheng-7012	392	27	fig	fig	PROPN
fumecheng-7012	392	28	.	.	PUNCT
fumecheng-7012	393	1	11	11	NUM
fumecheng-7012	393	2	variation	variation	NOUN
fumecheng-7012	393	3	of	of	ADP
fumecheng-7012	393	4	normalized	normalize	VERB
fumecheng-7012	393	5	end	end	VERB
fumecheng-7012	393	6	stiffness	stiffness	NOUN
fumecheng-7012	393	7	with	with	ADP
fumecheng-7012	393	8	diameter	diameter	NOUN
fumecheng-7012	393	9	of	of	ADP
fumecheng-7012	393	10	nanowire	nanowire	NOUN
fumecheng-7012	393	11	for	for	ADP
fumecheng-7012	393	12	various	various	ADJ
fumecheng-7012	393	13	nonlocal	nonlocal	ADJ
fumecheng-7012	393	14	scale	scale	NOUN
fumecheng-7012	393	15	parameters	parameter	NOUN
fumecheng-7012	393	16	and	and	CCONJ
fumecheng-7012	393	17	various	various	ADJ
fumecheng-7012	393	18	substrate	substrate	NOUN
fumecheng-7012	393	19	moduli	modulus	NOUN
fumecheng-7012	393	20	6	6	NUM
fumecheng-7012	393	21	.	.	PUNCT
fumecheng-7012	394	1	conclusions	conclusion	NOUN
fumecheng-7012	394	2	this	this	DET
fumecheng-7012	394	3	paper	paper	NOUN
fumecheng-7012	394	4	presented	present	VERB
fumecheng-7012	394	5	a	a	DET
fumecheng-7012	394	6	new	new	ADJ
fumecheng-7012	394	7	bar	bar	NOUN
fumecheng-7012	394	8	-	-	PUNCT
fumecheng-7012	394	9	substrate	substrate	NOUN
fumecheng-7012	394	10	model	model	NOUN
fumecheng-7012	394	11	considering	consider	VERB
fumecheng-7012	394	12	nonlocal	nonlocal	ADJ
fumecheng-7012	394	13	and	and	CCONJ
fumecheng-7012	394	14	surface	surface	NOUN
fumecheng-7012	394	15	energy	energy	NOUN
fumecheng-7012	394	16	effects	effect	NOUN
fumecheng-7012	394	17	in	in	ADP
fumecheng-7012	394	18	the	the	DET
fumecheng-7012	394	19	analysis	analysis	NOUN
fumecheng-7012	394	20	of	of	ADP
fumecheng-7012	394	21	a	a	DET
fumecheng-7012	394	22	nanowire	nanowire	NOUN
fumecheng-7012	394	23	embedded	embed	VERB
fumecheng-7012	394	24	in	in	ADP
fumecheng-7012	394	25	an	an	DET
fumecheng-7012	394	26	elastic	elastic	ADJ
fumecheng-7012	394	27	substrate	substrate	NOUN
fumecheng-7012	394	28	.	.	PUNCT
fumecheng-7012	395	1	the	the	DET
fumecheng-7012	395	2	features	feature	NOUN
fumecheng-7012	395	3	of	of	ADP
fumecheng-7012	395	4	the	the	DET
fumecheng-7012	395	5	proposed	propose	VERB
fumecheng-7012	395	6	bar	bar	NOUN
fumecheng-7012	395	7	model	model	NOUN
fumecheng-7012	395	8	include	include	VERB
fumecheng-7012	395	9	nanostructure	nanostructure	ADJ
fumecheng-7012	395	10	-	-	PUNCT
fumecheng-7012	395	11	substrate	substrate	NOUN
fumecheng-7012	395	12	interaction	interaction	NOUN
fumecheng-7012	395	13	,	,	PUNCT
fumecheng-7012	395	14	size	size	NOUN
fumecheng-7012	395	15	-	-	PUNCT
fumecheng-7012	395	16	scale	scale	NOUN
fumecheng-7012	395	17	(	(	PUNCT
fumecheng-7012	395	18	nonlocal	nonlocal	ADJ
fumecheng-7012	395	19	)	)	PUNCT
fumecheng-7012	395	20	effect	effect	NOUN
fumecheng-7012	395	21	and	and	CCONJ
fumecheng-7012	395	22	size	size	NOUN
fumecheng-7012	395	23	-	-	PUNCT
fumecheng-7012	395	24	dependent	dependent	ADJ
fumecheng-7012	395	25	(	(	PUNCT
fumecheng-7012	395	26	surface	surface	NOUN
fumecheng-7012	395	27	)	)	PUNCT
fumecheng-7012	395	28	effect	effect	NOUN
fumecheng-7012	395	29	.	.	PUNCT
fumecheng-7012	396	1	the	the	DET
fumecheng-7012	396	2	nonlocal	nonlocal	ADJ
fumecheng-7012	396	3	and	and	CCONJ
fumecheng-7012	396	4	surface	surface	NOUN
fumecheng-7012	396	5	energy	energy	NOUN
fumecheng-7012	396	6	effects	effect	NOUN
fumecheng-7012	396	7	are	be	AUX
fumecheng-7012	396	8	,	,	PUNCT
fumecheng-7012	396	9	respectively	respectively	ADV
fumecheng-7012	396	10	,	,	PUNCT
fumecheng-7012	396	11	represented	represent	VERB
fumecheng-7012	396	12	through	through	ADP
fumecheng-7012	396	13	a	a	DET
fumecheng-7012	396	14	fourth	fourth	ADJ
fumecheng-7012	396	15	-	-	PUNCT
fumecheng-7012	396	16	order	order	NOUN
fumecheng-7012	396	17	nonlocal	nonlocal	ADJ
fumecheng-7012	396	18	strain	strain	NOUN
fumecheng-7012	396	19	gradient	gradient	NOUN
fumecheng-7012	396	20	model	model	NOUN
fumecheng-7012	396	21	and	and	CCONJ
fumecheng-7012	396	22	the	the	DET
fumecheng-7012	396	23	gurtin	gurtin	PROPN
fumecheng-7012	396	24	-	-	PUNCT
fumecheng-7012	396	25	murdoch	murdoch	PROPN
fumecheng-7012	396	26	continuum	continuum	PROPN
fumecheng-7012	396	27	model	model	NOUN
fumecheng-7012	396	28	,	,	PUNCT
fumecheng-7012	396	29	while	while	SCONJ
fumecheng-7012	396	30	the	the	DET
fumecheng-7012	396	31	interaction	interaction	NOUN
fumecheng-7012	396	32	between	between	ADP
fumecheng-7012	396	33	bar	bar	NOUN
fumecheng-7012	396	34	and	and	CCONJ
fumecheng-7012	396	35	substrate	substrate	NOUN
fumecheng-7012	396	36	is	be	AUX
fumecheng-7012	396	37	modeled	model	VERB
fumecheng-7012	396	38	based	base	VERB
fumecheng-7012	396	39	on	on	ADP
fumecheng-7012	396	40	the	the	DET
fumecheng-7012	396	41	winkler	winkler	PROPN
fumecheng-7012	396	42	foundation	foundation	PROPN
fumecheng-7012	396	43	model	model	PROPN
fumecheng-7012	396	44	.	.	PUNCT
fumecheng-7012	397	1	the	the	DET
fumecheng-7012	397	2	proposed	propose	VERB
fumecheng-7012	397	3	model	model	NOUN
fumecheng-7012	397	4	is	be	AUX
fumecheng-7012	397	5	in	in	ADP
fumecheng-7012	397	6	a	a	DET
fumecheng-7012	397	7	displacementbased	displacementbase	VERB
fumecheng-7012	397	8	formulation	formulation	NOUN
fumecheng-7012	397	9	,	,	PUNCT
fumecheng-7012	397	10	so	so	CCONJ
fumecheng-7012	397	11	the	the	DET
fumecheng-7012	397	12	governing	govern	VERB
fumecheng-7012	397	13	differential	differential	ADJ
fumecheng-7012	397	14	equilibrium	equilibrium	NOUN
fumecheng-7012	397	15	equation	equation	NOUN
fumecheng-7012	397	16	and	and	CCONJ
fumecheng-7012	397	17	its	its	PRON
fumecheng-7012	397	18	boundary	boundary	ADJ
fumecheng-7012	397	19	conditions	condition	NOUN
fumecheng-7012	397	20	were	be	AUX
fumecheng-7012	397	21	determined	determine	VERB
fumecheng-7012	397	22	from	from	ADP
fumecheng-7012	397	23	the	the	DET
fumecheng-7012	397	24	principle	principle	NOUN
fumecheng-7012	397	25	of	of	ADP
fumecheng-7012	397	26	virtual	virtual	ADJ
fumecheng-7012	397	27	displacement	displacement	NOUN
fumecheng-7012	397	28	.	.	PUNCT
fumecheng-7012	398	1	analytical	analytical	ADJ
fumecheng-7012	398	2	solutions	solution	NOUN
fumecheng-7012	398	3	were	be	AUX
fumecheng-7012	398	4	directly	directly	ADV
fumecheng-7012	398	5	obtained	obtain	VERB
fumecheng-7012	398	6	by	by	ADP
fumecheng-7012	398	7	solving	solve	VERB
fumecheng-7012	398	8	the	the	DET
fumecheng-7012	398	9	sixth	sixth	ADJ
fumecheng-7012	398	10	-	-	PUNCT
fumecheng-7012	398	11	order	order	NOUN
fumecheng-7012	398	12	governing	govern	VERB
fumecheng-7012	398	13	differential	differential	ADJ
fumecheng-7012	398	14	equation	equation	NOUN
fumecheng-7012	398	15	,	,	PUNCT
fumecheng-7012	398	16	and	and	CCONJ
fumecheng-7012	398	17	were	be	AUX
fumecheng-7012	398	18	employed	employ	VERB
fumecheng-7012	398	19	to	to	PART
fumecheng-7012	398	20	provide	provide	VERB
fumecheng-7012	398	21	analytical	analytical	ADJ
fumecheng-7012	398	22	responses	response	NOUN
fumecheng-7012	398	23	of	of	ADP
fumecheng-7012	398	24	the	the	DET
fumecheng-7012	398	25	nanowire	nanowire	ADJ
fumecheng-7012	398	26	system	system	NOUN
fumecheng-7012	398	27	in	in	ADP
fumecheng-7012	398	28	this	this	DET
fumecheng-7012	398	29	study	study	NOUN
fumecheng-7012	398	30	.	.	PUNCT
fumecheng-7012	399	1	the	the	DET
fumecheng-7012	399	2	performance	performance	NOUN
fumecheng-7012	399	3	of	of	ADP
fumecheng-7012	399	4	the	the	DET
fumecheng-7012	399	5	proposed	propose	VERB
fumecheng-7012	399	6	model	model	NOUN
fumecheng-7012	399	7	in	in	ADP
fumecheng-7012	399	8	characterizing	characterize	VERB
fumecheng-7012	399	9	the	the	DET
fumecheng-7012	399	10	nanowire	nanowire	ADJ
fumecheng-7012	399	11	-	-	PUNCT
fumecheng-7012	399	12	substrate	substrate	NOUN
fumecheng-7012	399	13	system	system	NOUN
fumecheng-7012	399	14	was	be	AUX
fumecheng-7012	399	15	assessed	assess	VERB
fumecheng-7012	399	16	from	from	ADP
fumecheng-7012	399	17	two	two	NUM
fumecheng-7012	399	18	numerical	numerical	ADJ
fumecheng-7012	399	19	simulations	simulation	NOUN
fumecheng-7012	399	20	.	.	PUNCT
fumecheng-7012	400	1	proposed	propose	VERB
fumecheng-7012	400	2	fourth	fourth	ADJ
fumecheng-7012	400	3	-	-	PUNCT
fumecheng-7012	400	4	order	order	NOUN
fumecheng-7012	400	5	nonlocal	nonlocal	ADJ
fumecheng-7012	400	6	strain	strain	NOUN
fumecheng-7012	400	7	gradient	gradient	NOUN
fumecheng-7012	400	8	model	model	NOUN
fumecheng-7012	400	9	second	second	ADJ
fumecheng-7012	400	10	-	-	PUNCT
fumecheng-7012	400	11	order	order	NOUN
fumecheng-7012	400	12	nonlocal	nonlocal	ADJ
fumecheng-7012	400	13	strain	strain	NOUN
fumecheng-7012	400	14	gradient	gradient	NOUN
fumecheng-7012	400	15	model	model	NOUN
fumecheng-7012	400	16	e	e	PROPN
fumecheng-7012	400	17	a	a	DET
fumecheng-7012	400	18	=	=	SYM
fumecheng-7012	400	19	50	50	NUM
fumecheng-7012	400	20	nm	nm	NOUN
fumecheng-7012	400	21	e	e	NOUN
fumecheng-7012	400	22	a	a	X
fumecheng-7012	400	23	=	=	SYM
fumecheng-7012	400	24	0	0	NUM
fumecheng-7012	400	25	nm	nm	NOUN
fumecheng-7012	400	26	e	e	NOUN
fumecheng-7012	400	27	a	a	X
fumecheng-7012	400	28	=	=	SYM
fumecheng-7012	400	29	100	100	NUM
fumecheng-7012	400	30	nm	nm	NOUN
fumecheng-7012	400	31	e	e	NOUN
fumecheng-7012	400	32	a	a	NOUN
fumecheng-7012	400	33	=	=	SYM
fumecheng-7012	400	34	200	200	NUM
fumecheng-7012	400	35	nm	nm	NOUN
fumecheng-7012	400	36	e	e	NOUN
fumecheng-7012	400	37	a	a	X
fumecheng-7012	400	38	=	=	SYM
fumecheng-7012	400	39	150	150	NUM
fumecheng-7012	400	40	nm	nm	NOUN
fumecheng-7012	400	41	0	0	NUM
fumecheng-7012	400	42	0	0	NUM
fumecheng-7012	400	43	0	0	NUM
fumecheng-7012	400	44	0	0	NUM
fumecheng-7012	400	45	0	0	NUM
fumecheng-7012	400	46	0	0	NUM
fumecheng-7012	400	47	1	1	NUM
fumecheng-7012	400	48	2	2	NUM
fumecheng-7012	400	49	3	3	NUM
fumecheng-7012	400	50	4	4	NUM
fumecheng-7012	400	51	0	0	NUM
fumecheng-7012	400	52	5	5	NUM
fumecheng-7012	400	53	10	10	NUM
fumecheng-7012	400	54	15	15	NUM
fumecheng-7012	400	55	20	20	NUM
fumecheng-7012	400	56	25	25	NUM
fumecheng-7012	400	57	30	30	NUM
fumecheng-7012	400	58	210	210	NUM
fumecheng-7012	400	59	/sk	/sk	SYM
fumecheng-7012	400	60	nn	nn	X
fumecheng-7012	400	61	nm=	nm=	PROPN
fumecheng-7012	400	62	d	d	X
fumecheng-7012	400	63	(	(	PUNCT
fumecheng-7012	400	64	nm	nm	NOUN
fumecheng-7012	400	65	)	)	PUNCT
fumecheng-7012	400	66	k	k	PROPN
fumecheng-7012	400	67	/	/	SYM
fumecheng-7012	400	68	k	k	PROPN
fumecheng-7012	400	69	st	st	PROPN
fumecheng-7012	400	70	r	r	NOUN
fumecheng-7012	400	71	c	c	NOUN
fumecheng-7012	400	72	0	0	NUM
fumecheng-7012	400	73	1	1	NUM
fumecheng-7012	400	74	2	2	NUM
fumecheng-7012	400	75	3	3	NUM
fumecheng-7012	400	76	4	4	NUM
fumecheng-7012	400	77	5	5	NUM
fumecheng-7012	400	78	6	6	NUM
fumecheng-7012	400	79	0	0	NUM
fumecheng-7012	400	80	5	5	NUM
fumecheng-7012	400	81	10	10	NUM
fumecheng-7012	400	82	15	15	NUM
fumecheng-7012	400	83	20	20	NUM
fumecheng-7012	400	84	25	25	NUM
fumecheng-7012	400	85	30	30	NUM
fumecheng-7012	400	86	225	225	NUM
fumecheng-7012	400	87	/sk	/sk	SYM
fumecheng-7012	400	88	nn	nn	NUM
fumecheng-7012	400	89	nm=	nm=	PROPN
fumecheng-7012	400	90	d	d	X
fumecheng-7012	400	91	(	(	PUNCT
fumecheng-7012	400	92	nm	nm	NOUN
fumecheng-7012	400	93	)	)	PUNCT
fumecheng-7012	400	94	k	k	PROPN
fumecheng-7012	400	95	/	/	SYM
fumecheng-7012	400	96	k	k	PROPN
fumecheng-7012	400	97	st	st	PROPN
fumecheng-7012	400	98	r	r	NOUN
fumecheng-7012	400	99	c	c	NOUN
fumecheng-7012	400	100	0	0	NUM
fumecheng-7012	400	101	1	1	NUM
fumecheng-7012	400	102	2	2	NUM
fumecheng-7012	400	103	3	3	NUM
fumecheng-7012	400	104	4	4	NUM
fumecheng-7012	400	105	5	5	NUM
fumecheng-7012	400	106	6	6	NUM
fumecheng-7012	400	107	7	7	NUM
fumecheng-7012	400	108	0	0	NUM
fumecheng-7012	400	109	5	5	NUM
fumecheng-7012	400	110	10	10	NUM
fumecheng-7012	400	111	15	15	NUM
fumecheng-7012	400	112	20	20	NUM
fumecheng-7012	400	113	25	25	NUM
fumecheng-7012	400	114	30	30	NUM
fumecheng-7012	400	115	250	250	NUM
fumecheng-7012	400	116	/sk	/sk	SYM
fumecheng-7012	400	117	nn	nn	NUM
fumecheng-7012	400	118	nm=	nm=	PROPN
fumecheng-7012	400	119	d	d	X
fumecheng-7012	400	120	(	(	PUNCT
fumecheng-7012	400	121	nm	nm	NOUN
fumecheng-7012	400	122	)	)	PUNCT
fumecheng-7012	400	123	k	k	PROPN
fumecheng-7012	400	124	/	/	SYM
fumecheng-7012	400	125	k	k	PROPN
fumecheng-7012	400	126	st	st	PROPN
fumecheng-7012	400	127	r	r	NOUN
fumecheng-7012	400	128	c	c	NOUN
fumecheng-7012	400	129	0	0	NUM
fumecheng-7012	400	130	1	1	NUM
fumecheng-7012	400	131	2	2	NUM
fumecheng-7012	400	132	3	3	NUM
fumecheng-7012	400	133	4	4	NUM
fumecheng-7012	400	134	5	5	NUM
fumecheng-7012	400	135	6	6	NUM
fumecheng-7012	400	136	7	7	NUM
fumecheng-7012	400	137	8	8	NUM
fumecheng-7012	400	138	0	0	NUM
fumecheng-7012	400	139	5	5	NUM
fumecheng-7012	400	140	10	10	NUM
fumecheng-7012	400	141	15	15	NUM
fumecheng-7012	400	142	20	20	NUM
fumecheng-7012	400	143	25	25	NUM
fumecheng-7012	400	144	30	30	NUM
fumecheng-7012	400	145	2100	2100	NUM
fumecheng-7012	400	146	/sk	/sk	SYM
fumecheng-7012	400	147	nn	nn	NUM
fumecheng-7012	400	148	nm=	nm=	PROPN
fumecheng-7012	400	149	d	d	X
fumecheng-7012	400	150	(	(	PUNCT
fumecheng-7012	400	151	nm	nm	NOUN
fumecheng-7012	400	152	)	)	PUNCT
fumecheng-7012	400	153	k	k	PROPN
fumecheng-7012	400	154	/	/	SYM
fumecheng-7012	400	155	k	k	PROPN
fumecheng-7012	400	156	st	st	PROPN
fumecheng-7012	400	157	r	r	NOUN
fumecheng-7012	400	158	c	c	NOUN
fumecheng-7012	400	159	fourth	fourth	ADJ
fumecheng-7012	400	160	-	-	PUNCT
fumecheng-7012	400	161	order	order	NOUN
fumecheng-7012	400	162	strain	strain	VERB
fumecheng-7012	400	163	gradient	gradient	ADJ
fumecheng-7012	400	164	bar	bar	NOUN
fumecheng-7012	400	165	-	-	PUNCT
fumecheng-7012	400	166	substrate	substrate	NOUN
fumecheng-7012	400	167	model	model	NOUN
fumecheng-7012	400	168	with	with	ADP
fumecheng-7012	400	169	nonlocal	nonlocal	ADJ
fumecheng-7012	400	170	and	and	CCONJ
fumecheng-7012	400	171	surface	surface	NOUN
fumecheng-7012	400	172	effects	effect	NOUN
fumecheng-7012	400	173	...	...	PUNCT
fumecheng-7012	400	174	677	677	NUM
fumecheng-7012	400	175	the	the	DET
fumecheng-7012	400	176	first	first	ADJ
fumecheng-7012	400	177	simulation	simulation	NOUN
fumecheng-7012	400	178	demonstrates	demonstrate	VERB
fumecheng-7012	400	179	that	that	SCONJ
fumecheng-7012	400	180	nonlocality	nonlocality	NOUN
fumecheng-7012	400	181	,	,	PUNCT
fumecheng-7012	400	182	added	add	VERB
fumecheng-7012	400	183	higher	high	ADJ
fumecheng-7012	400	184	-	-	PUNCT
fumecheng-7012	400	185	order	order	NOUN
fumecheng-7012	400	186	terms	term	NOUN
fumecheng-7012	400	187	in	in	ADP
fumecheng-7012	400	188	the	the	DET
fumecheng-7012	400	189	strain	strain	NOUN
fumecheng-7012	400	190	gradient	gradient	NOUN
fumecheng-7012	400	191	theory	theory	NOUN
fumecheng-7012	400	192	,	,	PUNCT
fumecheng-7012	400	193	and	and	CCONJ
fumecheng-7012	400	194	surface	surface	NOUN
fumecheng-7012	400	195	energy	energy	NOUN
fumecheng-7012	400	196	effects	effect	NOUN
fumecheng-7012	400	197	stiffen	stiffen	VERB
fumecheng-7012	400	198	the	the	DET
fumecheng-7012	400	199	nanowire	nanowire	NOUN
fumecheng-7012	400	200	-	-	PUNCT
fumecheng-7012	400	201	substrate	substrate	NOUN
fumecheng-7012	400	202	system	system	NOUN
fumecheng-7012	400	203	.	.	PUNCT
fumecheng-7012	401	1	this	this	PRON
fumecheng-7012	401	2	matches	match	VERB
fumecheng-7012	401	3	the	the	DET
fumecheng-7012	401	4	second	second	ADJ
fumecheng-7012	401	5	parametric	parametric	ADJ
fumecheng-7012	401	6	simulation	simulation	NOUN
fumecheng-7012	401	7	study	study	NOUN
fumecheng-7012	401	8	.	.	PUNCT
fumecheng-7012	402	1	furthermore	furthermore	ADV
fumecheng-7012	402	2	,	,	PUNCT
fumecheng-7012	402	3	both	both	DET
fumecheng-7012	402	4	simulations	simulation	NOUN
fumecheng-7012	402	5	indicate	indicate	VERB
fumecheng-7012	402	6	that	that	SCONJ
fumecheng-7012	402	7	the	the	DET
fumecheng-7012	402	8	influence	influence	NOUN
fumecheng-7012	402	9	of	of	ADP
fumecheng-7012	402	10	nonlocality	nonlocality	NOUN
fumecheng-7012	402	11	on	on	ADP
fumecheng-7012	402	12	system	system	NOUN
fumecheng-7012	402	13	responses	response	NOUN
fumecheng-7012	402	14	is	be	AUX
fumecheng-7012	402	15	stronger	strong	ADJ
fumecheng-7012	402	16	than	than	ADP
fumecheng-7012	402	17	of	of	ADP
fumecheng-7012	402	18	the	the	DET
fumecheng-7012	402	19	surface	surface	NOUN
fumecheng-7012	402	20	energy	energy	NOUN
fumecheng-7012	402	21	effect	effect	NOUN
fumecheng-7012	402	22	,	,	PUNCT
fumecheng-7012	402	23	and	and	CCONJ
fumecheng-7012	402	24	the	the	DET
fumecheng-7012	402	25	substrate	substrate	NOUN
fumecheng-7012	402	26	modulus	modulus	NOUN
fumecheng-7012	402	27	is	be	AUX
fumecheng-7012	402	28	nullified	nullify	VERB
fumecheng-7012	402	29	when	when	SCONJ
fumecheng-7012	402	30	nonlocality	nonlocality	NOUN
fumecheng-7012	402	31	is	be	AUX
fumecheng-7012	402	32	ignored	ignore	VERB
fumecheng-7012	402	33	.	.	PUNCT
fumecheng-7012	403	1	finally	finally	ADV
fumecheng-7012	403	2	,	,	PUNCT
fumecheng-7012	403	3	the	the	DET
fumecheng-7012	403	4	influence	influence	NOUN
fumecheng-7012	403	5	of	of	ADP
fumecheng-7012	403	6	the	the	DET
fumecheng-7012	403	7	added	add	VERB
fumecheng-7012	403	8	term	term	NOUN
fumecheng-7012	403	9	in	in	ADP
fumecheng-7012	403	10	the	the	DET
fumecheng-7012	403	11	fourth	fourth	ADJ
fumecheng-7012	403	12	-	-	PUNCT
fumecheng-7012	403	13	order	order	NOUN
fumecheng-7012	403	14	nonlocal	nonlocal	ADJ
fumecheng-7012	403	15	strain	strain	NOUN
fumecheng-7012	403	16	gradient	gradient	NOUN
fumecheng-7012	403	17	model	model	NOUN
fumecheng-7012	403	18	increased	increase	VERB
fumecheng-7012	403	19	with	with	ADP
fumecheng-7012	403	20	the	the	DET
fumecheng-7012	403	21	nonlocal	nonlocal	ADJ
fumecheng-7012	403	22	-	-	PUNCT
fumecheng-7012	403	23	scale	scale	NOUN
fumecheng-7012	403	24	parameter	parameter	NOUN
fumecheng-7012	403	25	e0a	e0a	NOUN
fumecheng-7012	403	26	and	and	CCONJ
fumecheng-7012	403	27	with	with	ADP
fumecheng-7012	403	28	substrate	substrate	NOUN
fumecheng-7012	403	29	modulus	modulus	ADJ
fumecheng-7012	403	30	ks	ks	NOUN
fumecheng-7012	403	31	,	,	PUNCT
fumecheng-7012	403	32	but	but	CCONJ
fumecheng-7012	403	33	decreased	decrease	VERB
fumecheng-7012	403	34	with	with	ADP
fumecheng-7012	403	35	nanowire	nanowire	ADJ
fumecheng-7012	403	36	diameter	diameter	NOUN
fumecheng-7012	403	37	d.	d.	NOUN
fumecheng-7012	403	38	the	the	DET
fumecheng-7012	403	39	system	system	NOUN
fumecheng-7012	403	40	stiffness	stiffness	NOUN
fumecheng-7012	403	41	was	be	AUX
fumecheng-7012	403	42	larger	large	ADJ
fumecheng-7012	403	43	than	than	ADP
fumecheng-7012	403	44	with	with	ADP
fumecheng-7012	403	45	the	the	DET
fumecheng-7012	403	46	second	second	ADJ
fumecheng-7012	403	47	-	-	PUNCT
fumecheng-7012	403	48	order	order	NOUN
fumecheng-7012	403	49	nonlocal	nonlocal	ADJ
fumecheng-7012	403	50	strain	strain	NOUN
fumecheng-7012	403	51	gradient	gradient	NOUN
fumecheng-7012	403	52	model	model	NOUN
fumecheng-7012	403	53	.	.	PUNCT
fumecheng-7012	404	1	the	the	DET
fumecheng-7012	404	2	next	next	ADJ
fumecheng-7012	404	3	step	step	NOUN
fumecheng-7012	404	4	in	in	ADP
fumecheng-7012	404	5	developing	develop	VERB
fumecheng-7012	404	6	the	the	DET
fumecheng-7012	404	7	proposed	propose	VERB
fumecheng-7012	404	8	nanowire	nanowire	NOUN
fumecheng-7012	404	9	-	-	PUNCT
fumecheng-7012	404	10	substrate	substrate	NOUN
fumecheng-7012	404	11	model	model	NOUN
fumecheng-7012	404	12	is	be	AUX
fumecheng-7012	404	13	to	to	PART
fumecheng-7012	404	14	consider	consider	VERB
fumecheng-7012	404	15	the	the	DET
fumecheng-7012	404	16	effects	effect	NOUN
fumecheng-7012	404	17	of	of	ADP
fumecheng-7012	404	18	geometric	geometric	ADJ
fumecheng-7012	404	19	nonlinearity	nonlinearity	NOUN
fumecheng-7012	404	20	(	(	PUNCT
fumecheng-7012	404	21	geometric	geometric	ADJ
fumecheng-7012	404	22	stiffness	stiffness	NOUN
fumecheng-7012	404	23	matrix	matrix	NOUN
fumecheng-7012	404	24	)	)	PUNCT
fumecheng-7012	404	25	in	in	ADP
fumecheng-7012	404	26	the	the	DET
fumecheng-7012	404	27	element	element	NOUN
fumecheng-7012	404	28	.	.	PUNCT
fumecheng-7012	405	1	moreover	moreover	ADV
fumecheng-7012	405	2	,	,	PUNCT
fumecheng-7012	405	3	this	this	DET
fumecheng-7012	405	4	study	study	NOUN
fumecheng-7012	405	5	will	will	AUX
fumecheng-7012	405	6	be	be	AUX
fumecheng-7012	405	7	extended	extend	VERB
fumecheng-7012	405	8	to	to	ADP
fumecheng-7012	405	9	buckling	buckle	VERB
fumecheng-7012	405	10	analysis	analysis	NOUN
fumecheng-7012	405	11	of	of	ADP
fumecheng-7012	405	12	a	a	DET
fumecheng-7012	405	13	nanostructure	nanostructure	NOUN
fumecheng-7012	405	14	embedded	embed	VERB
fumecheng-7012	405	15	in	in	ADP
fumecheng-7012	405	16	an	an	DET
fumecheng-7012	405	17	elastic	elastic	ADJ
fumecheng-7012	405	18	substrate	substrate	NOUN
fumecheng-7012	405	19	.	.	PUNCT
fumecheng-7012	406	1	finally	finally	ADV
fumecheng-7012	406	2	,	,	PUNCT
fumecheng-7012	406	3	the	the	DET
fumecheng-7012	406	4	authors	author	NOUN
fumecheng-7012	406	5	hope	hope	VERB
fumecheng-7012	406	6	that	that	SCONJ
fumecheng-7012	406	7	the	the	DET
fumecheng-7012	406	8	proposed	propose	VERB
fumecheng-7012	406	9	nanowire	nanowire	NOUN
fumecheng-7012	406	10	-	-	PUNCT
fumecheng-7012	406	11	substrate	substrate	NOUN
fumecheng-7012	406	12	model	model	NOUN
fumecheng-7012	406	13	will	will	AUX
fumecheng-7012	406	14	be	be	AUX
fumecheng-7012	406	15	useful	useful	ADJ
fumecheng-7012	406	16	in	in	ADP
fumecheng-7012	406	17	the	the	DET
fumecheng-7012	406	18	field	field	NOUN
fumecheng-7012	406	19	of	of	ADP
fumecheng-7012	406	20	nanotechnology	nanotechnology	PROPN
fumecheng-7012	406	21	.	.	PUNCT
fumecheng-7012	407	1	acknowledgement	acknowledgement	NOUN
fumecheng-7012	407	2	:	:	PUNCT
fumecheng-7012	407	3	this	this	DET
fumecheng-7012	407	4	study	study	NOUN
fumecheng-7012	407	5	was	be	AUX
fumecheng-7012	407	6	supported	support	VERB
fumecheng-7012	407	7	by	by	ADP
fumecheng-7012	407	8	trf	trf	PROPN
fumecheng-7012	407	9	senior	senior	ADJ
fumecheng-7012	407	10	research	research	NOUN
fumecheng-7012	407	11	scholar	scholar	NOUN
fumecheng-7012	407	12	under	under	ADP
fumecheng-7012	407	13	grant	grant	NOUN
fumecheng-7012	407	14	rta	rta	PROPN
fumecheng-7012	407	15	6280012	6280012	NUM
fumecheng-7012	407	16	.	.	PUNCT
fumecheng-7012	408	1	any	any	DET
fumecheng-7012	408	2	opinions	opinion	NOUN
fumecheng-7012	408	3	expressed	express	VERB
fumecheng-7012	408	4	in	in	ADP
fumecheng-7012	408	5	this	this	DET
fumecheng-7012	408	6	paper	paper	NOUN
fumecheng-7012	408	7	are	be	AUX
fumecheng-7012	408	8	those	those	PRON
fumecheng-7012	408	9	of	of	ADP
fumecheng-7012	408	10	the	the	DET
fumecheng-7012	408	11	authors	author	NOUN
fumecheng-7012	408	12	and	and	CCONJ
fumecheng-7012	408	13	do	do	AUX
fumecheng-7012	408	14	not	not	PART
fumecheng-7012	408	15	reflect	reflect	VERB
fumecheng-7012	408	16	the	the	DET
fumecheng-7012	408	17	views	view	NOUN
fumecheng-7012	408	18	of	of	ADP
fumecheng-7012	408	19	the	the	DET
fumecheng-7012	408	20	sponsoring	sponsor	VERB
fumecheng-7012	408	21	agencies	agency	NOUN
fumecheng-7012	408	22	.	.	PUNCT
fumecheng-7012	409	1	special	special	ADJ
fumecheng-7012	409	2	thanks	thank	NOUN
fumecheng-7012	409	3	go	go	VERB
fumecheng-7012	409	4	to	to	ADP
fumecheng-7012	409	5	the	the	DET
fumecheng-7012	409	6	copy	copy	NOUN
fumecheng-7012	409	7	-	-	PUNCT
fumecheng-7012	409	8	editing	edit	VERB
fumecheng-7012	409	9	service	service	NOUN
fumecheng-7012	409	10	of	of	ADP
fumecheng-7012	409	11	research	research	NOUN
fumecheng-7012	409	12	and	and	CCONJ
fumecheng-7012	409	13	development	development	NOUN
fumecheng-7012	409	14	office	office	NOUN
fumecheng-7012	409	15	,	,	PUNCT
fumecheng-7012	409	16	and	and	CCONJ
fumecheng-7012	409	17	assoc	assoc	PROPN
fumecheng-7012	409	18	.	.	PUNCT
fumecheng-7012	410	1	prof	prof	PROPN
fumecheng-7012	410	2	.	.	PUNCT
fumecheng-7012	411	1	dr	dr	PROPN
fumecheng-7012	411	2	.	.	PROPN
fumecheng-7012	411	3	seppo	seppo	PROPN
fumecheng-7012	411	4	karrila	karrila	PROPN
fumecheng-7012	411	5	and	and	CCONJ
fumecheng-7012	411	6	assoc	assoc	PROPN
fumecheng-7012	411	7	.	.	PUNCT
fumecheng-7012	412	1	prof	prof	PROPN
fumecheng-7012	412	2	.	.	PUNCT
fumecheng-7012	413	1	dr	dr	PROPN
fumecheng-7012	413	2	.	.	PROPN
fumecheng-7012	413	3	pattamad	pattamad	PROPN
fumecheng-7012	413	4	panedpojaman	panedpojaman	NOUN
fumecheng-7012	413	5	who	who	PRON
fumecheng-7012	413	6	dedicated	dedicate	VERB
fumecheng-7012	413	7	his	his	PRON
fumecheng-7012	413	8	time	time	NOUN
fumecheng-7012	413	9	to	to	PART
fumecheng-7012	413	10	provide	provide	VERB
fumecheng-7012	413	11	valuable	valuable	ADJ
fumecheng-7012	413	12	comments	comment	NOUN
fumecheng-7012	413	13	,	,	PUNCT
fumecheng-7012	413	14	and	and	CCONJ
fumecheng-7012	413	15	gratefully	gratefully	ADV
fumecheng-7012	413	16	acknowledge	acknowledge	VERB
fumecheng-7012	413	17	the	the	DET
fumecheng-7012	413	18	support	support	NOUN
fumecheng-7012	413	19	and	and	CCONJ
fumecheng-7012	413	20	assistance	assistance	NOUN
fumecheng-7012	413	21	received	receive	VERB
fumecheng-7012	413	22	.	.	PUNCT
fumecheng-7012	414	1	appendix	appendix	VERB
fumecheng-7012	414	2	a	a	DET
fumecheng-7012	414	3	the	the	DET
fumecheng-7012	414	4	homogeneous	homogeneous	ADJ
fumecheng-7012	414	5	differential	differential	ADJ
fumecheng-7012	414	6	equation	equation	NOUN
fumecheng-7012	414	7	of	of	ADP
fumecheng-7012	414	8	eq	eq	PROPN
fumecheng-7012	414	9	.	.	PUNCT
fumecheng-7012	415	1	(	(	PUNCT
fumecheng-7012	415	2	29	29	NUM
fumecheng-7012	415	3	)	)	PUNCT
fumecheng-7012	415	4	can	can	AUX
fumecheng-7012	415	5	be	be	AUX
fumecheng-7012	415	6	rearranged	rearrange	VERB
fumecheng-7012	415	7	into	into	ADP
fumecheng-7012	415	8	the	the	DET
fumecheng-7012	415	9	general	general	ADJ
fumecheng-7012	415	10	form	form	NOUN
fumecheng-7012	415	11	:	:	PUNCT
fumecheng-7012	415	12	6	6	NUM
fumecheng-7012	415	13	4	4	NUM
fumecheng-7012	415	14	2	2	NUM
fumecheng-7012	415	15	1	1	NUM
fumecheng-7012	415	16	2	2	NUM
fumecheng-7012	415	17	36	36	NUM
fumecheng-7012	415	18	4	4	NUM
fumecheng-7012	415	19	2	2	NUM
fumecheng-7012	415	20	(	(	PUNCT
fumecheng-7012	415	21	)	)	PUNCT
fumecheng-7012	415	22	(	(	PUNCT
fumecheng-7012	415	23	)	)	PUNCT
fumecheng-7012	415	24	(	(	PUNCT
fumecheng-7012	415	25	)	)	PUNCT
fumecheng-7012	415	26	+	+	CCONJ
fumecheng-7012	415	27	(	(	PUNCT
fumecheng-7012	415	28	)	)	PUNCT
fumecheng-7012	415	29	0x	0x	NOUN
fumecheng-7012	415	30	x	x	SYM
fumecheng-7012	415	31	x	x	SYM
fumecheng-7012	415	32	x	x	PUNCT
fumecheng-7012	415	33	u	u	NOUN
fumecheng-7012	415	34	x	x	X
fumecheng-7012	415	35	u	u	NOUN
fumecheng-7012	415	36	x	x	X
fumecheng-7012	415	37	u	u	NOUN
fumecheng-7012	415	38	x	x	X
fumecheng-7012	415	39	u	u	NOUN
fumecheng-7012	415	40	x	x	NOUN
fumecheng-7012	415	41	x	x	X
fumecheng-7012	415	42	x	x	X
fumecheng-7012	415	43	x	x	SYM
fumecheng-7012	415	44			ADJ
fumecheng-7012	415	45			ADJ
fumecheng-7012	415	46			ADJ
fumecheng-7012	415	47	+	+	SYM
fumecheng-7012	416	1	+	+	PUNCT
fumecheng-7012	416	2	=	=	NOUN
fumecheng-7012	416	3			ADJ
fumecheng-7012	416	4			ADJ
fumecheng-7012	416	5			ADJ
fumecheng-7012	416	6			PROPN
fumecheng-7012	416	7			PROPN
fumecheng-7012	416	8			PROPN
fumecheng-7012	416	9	(	(	PUNCT
fumecheng-7012	416	10	a1	a1	PROPN
fumecheng-7012	416	11	)	)	PUNCT
fumecheng-7012	416	12	where	where	SCONJ
fumecheng-7012	416	13	the	the	DET
fumecheng-7012	416	14	parameters	parameter	NOUN
fumecheng-7012	416	15	ϑ1	ϑ1	NOUN
fumecheng-7012	416	16	,	,	PUNCT
fumecheng-7012	416	17	ϑ2	ϑ2	PROPN
fumecheng-7012	416	18	,	,	PUNCT
fumecheng-7012	416	19	and	and	CCONJ
fumecheng-7012	416	20	ϑ3	ϑ3	NOUN
fumecheng-7012	416	21	are	be	AUX
fumecheng-7012	416	22	:	:	PUNCT
fumecheng-7012	416	23	1	1	NUM
fumecheng-7012	416	24	2	2	NUM
fumecheng-7012	416	25	32	32	NUM
fumecheng-7012	416	26	4	4	NUM
fumecheng-7012	416	27	4	4	NUM
fumecheng-7012	416	28	0	0	NUM
fumecheng-7012	416	29	0	0	NUM
fumecheng-7012	416	30	0	0	NUM
fumecheng-7012	416	31	(	(	PUNCT
fumecheng-7012	416	32	)	)	PUNCT
fumecheng-7012	416	33	1	1	NUM
fumecheng-7012	416	34	;	;	PUNCT
fumecheng-7012	416	35	;	;	PUNCT
fumecheng-7012	416	36	and	and	CCONJ
fumecheng-7012	416	37	(	(	PUNCT
fumecheng-7012	416	38	)	)	PUNCT
fumecheng-7012	416	39	(	(	PUNCT
fumecheng-7012	416	40	)	)	PUNCT
fumecheng-7012	416	41	(	(	PUNCT
fumecheng-7012	416	42	)	)	PUNCT
fumecheng-7012	416	43	xx	xx	PROPN
fumecheng-7012	417	1	eff	eff	PROPN
fumecheng-7012	417	2	s	s	NOUN
fumecheng-7012	417	3	xx	xx	NUM
fumecheng-7012	417	4	xx	xx	NUM
fumecheng-7012	418	1	e	e	PROPN
fumecheng-7012	418	2	a	a	X
fumecheng-7012	418	3	k	k	X
fumecheng-7012	418	4	e	e	X
fumecheng-7012	418	5	a	a	PROPN
fumecheng-7012	418	6	e	e	NOUN
fumecheng-7012	418	7	a	a	X
fumecheng-7012	418	8	e	e	NOUN
fumecheng-7012	418	9	a	a	X
fumecheng-7012	418	10	e	e	NOUN
fumecheng-7012	418	11	a	a	X
fumecheng-7012	418	12	e	e	NOUN
fumecheng-7012	418	13	a	a	NOUN
fumecheng-7012	418	14	=	=	SYM
fumecheng-7012	418	15	−	−	NOUN
fumecheng-7012	418	16	=	=	SYM
fumecheng-7012	418	17	=	=	PUNCT
fumecheng-7012	418	18	−	−	NOUN
fumecheng-7012	418	19			PROPN
fumecheng-7012	418	20			PROPN
fumecheng-7012	418	21	(	(	PUNCT
fumecheng-7012	418	22	a2	a2	PROPN
fumecheng-7012	418	23	)	)	PUNCT
fumecheng-7012	418	24	for	for	ADP
fumecheng-7012	418	25	convenience	convenience	NOUN
fumecheng-7012	418	26	,	,	PUNCT
fumecheng-7012	418	27	the	the	DET
fumecheng-7012	418	28	parameters	parameter	NOUN
fumecheng-7012	418	29	in	in	ADP
fumecheng-7012	418	30	the	the	DET
fumecheng-7012	418	31	general	general	ADJ
fumecheng-7012	418	32	solution	solution	NOUN
fumecheng-7012	418	33	are	be	AUX
fumecheng-7012	418	34	defined	define	VERB
fumecheng-7012	418	35	by	by	ADP
fumecheng-7012	418	36	:	:	PUNCT
fumecheng-7012	418	37	32	32	NUM
fumecheng-7012	418	38	3	3	NUM
fumecheng-7012	418	39	21	21	NUM
fumecheng-7012	418	40	1	1	NUM
fumecheng-7012	418	41	2	2	NUM
fumecheng-7012	418	42	31	31	NUM
fumecheng-7012	418	43	2	2	NUM
fumecheng-7012	418	44	(	(	PUNCT
fumecheng-7012	418	45	2	2	NUM
fumecheng-7012	418	46	/	/	SYM
fumecheng-7012	418	47	27	27	NUM
fumecheng-7012	418	48	)	)	PUNCT
fumecheng-7012	418	49	(	(	PUNCT
fumecheng-7012	418	50	/	/	SYM
fumecheng-7012	418	51	3	3	NUM
fumecheng-7012	418	52	)	)	PUNCT
fumecheng-7012	418	53	(	(	PUNCT
fumecheng-7012	418	54	/	/	SYM
fumecheng-7012	418	55	3	3	NUM
fumecheng-7012	418	56	)	)	PUNCT
fumecheng-7012	418	57	;	;	PUNCT
fumecheng-7012	418	58	;	;	PUNCT
fumecheng-7012	418	59	and	and	CCONJ
fumecheng-7012	418	60	3	3	NUM
fumecheng-7012	418	61	2	2	NUM
fumecheng-7012	418	62	−	−	NOUN
fumecheng-7012	418	63	+	+	NOUN
fumecheng-7012	418	64	−	−	NOUN
fumecheng-7012	419	1	+	+	NOUN
fumecheng-7012	419	2	=	=	SYM
fumecheng-7012	419	3	=	=	SYM
fumecheng-7012	419	4			X
fumecheng-7012	419	5	=	=	SYM
fumecheng-7012	420	1	+	+	NUM
fumecheng-7012	420	2			NOUN
fumecheng-7012	420	3			PROPN
fumecheng-7012	420	4			PROPN
fumecheng-7012	420	5			NOUN
fumecheng-7012	420	6			X
fumecheng-7012	420	7			PROPN
fumecheng-7012	420	8			NOUN
fumecheng-7012	420	9			PROPN
fumecheng-7012	420	10	(	(	PUNCT
fumecheng-7012	420	11	a3	a3	NOUN
fumecheng-7012	420	12	)	)	PUNCT
fumecheng-7012	420	13	there	there	PRON
fumecheng-7012	420	14	are	be	VERB
fumecheng-7012	420	15	many	many	ADJ
fumecheng-7012	420	16	solutions	solution	NOUN
fumecheng-7012	420	17	of	of	ADP
fumecheng-7012	420	18	the	the	DET
fumecheng-7012	420	19	homogeneous	homogeneous	ADJ
fumecheng-7012	420	20	differential	differential	ADJ
fumecheng-7012	420	21	equation	equation	NOUN
fumecheng-7012	420	22	of	of	ADP
fumecheng-7012	420	23	eq	eq	PROPN
fumecheng-7012	420	24	.	.	PUNCT
fumecheng-7012	421	1	(	(	PUNCT
fumecheng-7012	421	2	a1	a1	NOUN
fumecheng-7012	421	3	)	)	PUNCT
fumecheng-7012	421	4	that	that	PRON
fumecheng-7012	421	5	depend	depend	VERB
fumecheng-7012	421	6	on	on	ADP
fumecheng-7012	421	7	sign	sign	NOUN
fumecheng-7012	421	8	of	of	ADP
fumecheng-7012	421	9	the	the	DET
fumecheng-7012	421	10	quantity	quantity	NOUN
fumecheng-7012	421	11	δ	δ	NOUN
fumecheng-7012	421	12	=	=	SYM
fumecheng-7012	421	13	α3	α3	PROPN
fumecheng-7012	422	1	+	+	X
fumecheng-7012	422	2	β2	β2	ADJ
fumecheng-7012	422	3	.	.	PUNCT
fumecheng-7012	423	1	all	all	DET
fumecheng-7012	423	2	the	the	DET
fumecheng-7012	423	3	possible	possible	ADJ
fumecheng-7012	423	4	solution	solution	NOUN
fumecheng-7012	423	5	cases	case	NOUN
fumecheng-7012	423	6	are	be	AUX
fumecheng-7012	423	7	described	describe	VERB
fumecheng-7012	423	8	by	by	ADP
fumecheng-7012	423	9	morfidis	morfidi	NOUN
fumecheng-7012	423	10	[	[	X
fumecheng-7012	423	11	52	52	NUM
fumecheng-7012	423	12	]	]	PUNCT
fumecheng-7012	423	13	and	and	CCONJ
fumecheng-7012	423	14	avramidis	avramidi	NOUN
fumecheng-7012	423	15	and	and	CCONJ
fumecheng-7012	423	16	morfidis	morfidi	NOUN
fumecheng-7012	424	1	[	[	X
fumecheng-7012	424	2	53	53	NUM
fumecheng-7012	424	3	]	]	PUNCT
fumecheng-7012	424	4	.	.	PUNCT
fumecheng-7012	425	1	they	they	PRON
fumecheng-7012	425	2	suggest	suggest	VERB
fumecheng-7012	425	3	that	that	SCONJ
fumecheng-7012	425	4	the	the	DET
fumecheng-7012	425	5	most	most	ADV
fumecheng-7012	425	6	likely	likely	ADJ
fumecheng-7012	425	7	solution	solution	NOUN
fumecheng-7012	425	8	case	case	NOUN
fumecheng-7012	425	9	i	i	PRON
fumecheng-7012	425	10	has	have	VERB
fumecheng-7012	425	11	the	the	DET
fumecheng-7012	425	12	quantity	quantity	NOUN
fumecheng-7012	425	13	δ	δ	NOUN
fumecheng-7012	425	14	larger	large	ADJ
fumecheng-7012	425	15	than	than	ADP
fumecheng-7012	425	16	zero	zero	NUM
fumecheng-7012	425	17	(	(	PUNCT
fumecheng-7012	425	18	δ	δ	NOUN
fumecheng-7012	425	19	=	=	SYM
fumecheng-7012	425	20	α3	α3	PROPN
fumecheng-7012	425	21	+	+	CCONJ
fumecheng-7012	425	22	β2	β2	NOUN
fumecheng-7012	425	23	>	>	X
fumecheng-7012	425	24	0	0	NUM
fumecheng-7012	425	25	)	)	PUNCT
fumecheng-7012	425	26	,	,	PUNCT
fumecheng-7012	425	27	while	while	SCONJ
fumecheng-7012	425	28	in	in	ADP
fumecheng-7012	425	29	case	case	NOUN
fumecheng-7012	425	30	ii	ii	NUM
fumecheng-7012	425	31	δ	δ	PROPN
fumecheng-7012	425	32	is	be	AUX
fumecheng-7012	425	33	less	less	ADJ
fumecheng-7012	425	34	than	than	ADP
fumecheng-7012	425	35	zero	zero	NUM
fumecheng-7012	425	36	(	(	PUNCT
fumecheng-7012	425	37	δ	δ	NOUN
fumecheng-7012	425	38	=	=	SYM
fumecheng-7012	425	39	α3	α3	PROPN
fumecheng-7012	426	1	+	+	CCONJ
fumecheng-7012	426	2	β2	β2	VERB
fumecheng-7012	426	3	<	<	X
fumecheng-7012	426	4	0	0	NUM
fumecheng-7012	426	5	)	)	PUNCT
fumecheng-7012	426	6	.	.	PUNCT
fumecheng-7012	427	1	thus	thus	ADV
fumecheng-7012	427	2	,	,	PUNCT
fumecheng-7012	427	3	these	these	DET
fumecheng-7012	427	4	cases	case	NOUN
fumecheng-7012	427	5	are	be	AUX
fumecheng-7012	427	6	assessed	assess	VERB
fumecheng-7012	427	7	in	in	ADP
fumecheng-7012	427	8	this	this	DET
fumecheng-7012	427	9	study	study	NOUN
fumecheng-7012	427	10	.	.	PUNCT
fumecheng-7012	428	1	however	however	ADV
fumecheng-7012	428	2	,	,	PUNCT
fumecheng-7012	428	3	there	there	PRON
fumecheng-7012	428	4	are	be	VERB
fumecheng-7012	428	5	other	other	ADJ
fumecheng-7012	428	6	types	type	NOUN
fumecheng-7012	428	7	of	of	ADP
fumecheng-7012	428	8	solutions	solution	NOUN
fumecheng-7012	428	9	when	when	SCONJ
fumecheng-7012	428	10	δ	δ	PROPN
fumecheng-7012	428	11	is	be	AUX
fumecheng-7012	428	12	equal	equal	ADJ
fumecheng-7012	428	13	to	to	ADP
fumecheng-7012	428	14	zero	zero	NUM
fumecheng-7012	428	15	(	(	PUNCT
fumecheng-7012	428	16	δ	δ	PROPN
fumecheng-7012	428	17	=	=	SYM
fumecheng-7012	428	18	α3	α3	PROPN
fumecheng-7012	428	19	+	+	CCONJ
fumecheng-7012	428	20	β2	β2	NOUN
fumecheng-7012	428	21	=	=	NOUN
fumecheng-7012	428	22	0	0	NUM
fumecheng-7012	428	23	)	)	PUNCT
fumecheng-7012	428	24	.	.	PUNCT
fumecheng-7012	429	1	this	this	DET
fumecheng-7012	429	2	case	case	NOUN
fumecheng-7012	429	3	is	be	AUX
fumecheng-7012	429	4	unlikely	unlikely	ADJ
fumecheng-7012	429	5	and	and	CCONJ
fumecheng-7012	429	6	almost	almost	ADV
fumecheng-7012	429	7	impossible	impossible	ADJ
fumecheng-7012	429	8	.	.	PUNCT
fumecheng-7012	430	1	therefore	therefore	ADV
fumecheng-7012	430	2	,	,	PUNCT
fumecheng-7012	430	3	this	this	DET
fumecheng-7012	430	4	study	study	NOUN
fumecheng-7012	430	5	neglected	neglect	VERB
fumecheng-7012	430	6	this	this	DET
fumecheng-7012	430	7	case	case	NOUN
fumecheng-7012	430	8	.	.	PUNCT
fumecheng-7012	431	1	the	the	DET
fumecheng-7012	431	2	general	general	ADJ
fumecheng-7012	431	3	form	form	NOUN
fumecheng-7012	431	4	of	of	ADP
fumecheng-7012	431	5	the	the	DET
fumecheng-7012	431	6	homogeneous	homogeneous	ADJ
fumecheng-7012	431	7	solution	solution	NOUN
fumecheng-7012	431	8	to	to	ADP
fumecheng-7012	431	9	eq	eq	PROPN
fumecheng-7012	431	10	.	.	PUNCT
fumecheng-7012	432	1	(	(	PUNCT
fumecheng-7012	432	2	29	29	NUM
fumecheng-7012	432	3	)	)	PUNCT
fumecheng-7012	432	4	is	be	AUX
fumecheng-7012	432	5	1	1	NUM
fumecheng-7012	432	6	1	1	NUM
fumecheng-7012	432	7	2	2	NUM
fumecheng-7012	432	8	2	2	NUM
fumecheng-7012	432	9	3	3	NUM
fumecheng-7012	432	10	3	3	NUM
fumecheng-7012	432	11	4	4	NUM
fumecheng-7012	432	12	4	4	NUM
fumecheng-7012	432	13	5	5	NUM
fumecheng-7012	432	14	5	5	NUM
fumecheng-7012	432	15	6	6	NUM
fumecheng-7012	432	16	6	6	NUM
fumecheng-7012	432	17	(	(	PUNCT
fumecheng-7012	432	18	)	)	PUNCT
fumecheng-7012	432	19	(	(	PUNCT
fumecheng-7012	432	20	)	)	PUNCT
fumecheng-7012	432	21	(	(	PUNCT
fumecheng-7012	432	22	)	)	PUNCT
fumecheng-7012	432	23	(	(	PUNCT
fumecheng-7012	432	24	)	)	PUNCT
fumecheng-7012	432	25	(	(	PUNCT
fumecheng-7012	432	26	)	)	PUNCT
fumecheng-7012	432	27	(	(	PUNCT
fumecheng-7012	432	28	)	)	PUNCT
fumecheng-7012	432	29	(	(	PUNCT
fumecheng-7012	432	30	)	)	PUNCT
fumecheng-7012	432	31	x	x	SYM
fumecheng-7012	432	32	c	c	NOUN
fumecheng-7012	432	33	cu	cu	PROPN
fumecheng-7012	432	34	x	x	PUNCT
fumecheng-7012	432	35	x	x	PUNCT
fumecheng-7012	432	36	x	x	PUNCT
fumecheng-7012	432	37	x	x	PUNCT
fumecheng-7012	432	38	x	x	PUNCT
fumecheng-7012	432	39	x	x	X
fumecheng-7012	432	40	c	c	NOUN
fumecheng-7012	432	41	xc	xc	PROPN
fumecheng-7012	432	42	c	c	PROPN
fumecheng-7012	432	43	c=	c=	NOUN
fumecheng-7012	432	44	+	+	X
fumecheng-7012	433	1	+	+	PUNCT
fumecheng-7012	433	2	+	+	PUNCT
fumecheng-7012	433	3	+	+	PUNCT
fumecheng-7012	433	4	+	+	ADJ
fumecheng-7012	433	5			NOUN
fumecheng-7012	433	6			NOUN
fumecheng-7012	433	7			NOUN
fumecheng-7012	433	8			NOUN
fumecheng-7012	434	1			NOUN
fumecheng-7012	434	2			NOUN
fumecheng-7012	434	3	(	(	PUNCT
fumecheng-7012	434	4	a4	a4	NOUN
fumecheng-7012	434	5	)	)	PUNCT
fumecheng-7012	434	6	678	678	NUM
fumecheng-7012	434	7	w.	w.	PROPN
fumecheng-7012	434	8	sae	sae	PROPN
fumecheng-7012	434	9	-	-	PROPN
fumecheng-7012	434	10	long	long	ADV
fumecheng-7012	434	11	,	,	PUNCT
fumecheng-7012	434	12	s.	s.	PROPN
fumecheng-7012	434	13	limkatanyu	limkatanyu	PROPN
fumecheng-7012	434	14	,	,	PUNCT
fumecheng-7012	434	15	p.	p.	NOUN
fumecheng-7012	434	16	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	434	17	,	,	PUNCT
fumecheng-7012	434	18	et	et	PROPN
fumecheng-7012	434	19	al	al	PROPN
fumecheng-7012	434	20	.	.	PROPN
fumecheng-7012	435	1	for	for	ADP
fumecheng-7012	435	2	the	the	DET
fumecheng-7012	435	3	solution	solution	NOUN
fumecheng-7012	435	4	case	case	NOUN
fumecheng-7012	435	5	i	i	PRON
fumecheng-7012	435	6	(	(	PUNCT
fumecheng-7012	435	7	δ	δ	NOUN
fumecheng-7012	435	8	=	=	SYM
fumecheng-7012	435	9	α3	α3	PROPN
fumecheng-7012	436	1	+	+	CCONJ
fumecheng-7012	436	2	β2	β2	NOUN
fumecheng-7012	436	3	>	>	X
fumecheng-7012	436	4	0	0	NUM
fumecheng-7012	436	5	)	)	PUNCT
fumecheng-7012	436	6	,	,	PUNCT
fumecheng-7012	436	7	the	the	DET
fumecheng-7012	436	8	analytical	analytical	ADJ
fumecheng-7012	436	9	solution	solution	NOUN
fumecheng-7012	436	10	can	can	AUX
fumecheng-7012	436	11	be	be	AUX
fumecheng-7012	436	12	expressed	express	VERB
fumecheng-7012	436	13	as	as	ADP
fumecheng-7012	436	14	:	:	PUNCT
fumecheng-7012	436	15	1	1	NUM
fumecheng-7012	436	16	1	1	NUM
fumecheng-7012	436	17	1	1	NUM
fumecheng-7012	436	18	2	2	NUM
fumecheng-7012	436	19	3	3	NUM
fumecheng-7012	436	20	4	4	NUM
fumecheng-7012	436	21	5	5	NUM
fumecheng-7012	436	22	6	6	NUM
fumecheng-7012	436	23	;	;	PUNCT
fumecheng-7012	436	24	;	;	PUNCT
fumecheng-7012	436	25	cos	cos	ADP
fumecheng-7012	436	26	[	[	X
fumecheng-7012	436	27	]	]	X
fumecheng-7012	436	28	;	;	PUNCT
fumecheng-7012	436	29	(	(	PUNCT
fumecheng-7012	436	30	)	)	PUNCT
fumecheng-7012	436	31	sin	sin	NOUN
fumecheng-7012	436	32	[	[	PUNCT
fumecheng-7012	436	33	]	]	X
fumecheng-7012	436	34	;	;	PUNCT
fumecheng-7012	436	35	cos	cos	X
fumecheng-7012	436	36	[	[	PUNCT
fumecheng-7012	436	37	]	]	X
fumecheng-7012	436	38	;	;	PUNCT
fumecheng-7012	436	39	sin	sin	X
fumecheng-7012	436	40	[	[	PUNCT
fumecheng-7012	436	41	]	]	X
fumecheng-7012	436	42	(	(	PUNCT
fumecheng-7012	436	43	)	)	PUNCT
fumecheng-7012	436	44	(	(	PUNCT
fumecheng-7012	436	45	)	)	PUNCT
fumecheng-7012	436	46	(	(	PUNCT
fumecheng-7012	436	47	)	)	PUNCT
fumecheng-7012	436	48	(	(	PUNCT
fumecheng-7012	436	49	)	)	PUNCT
fumecheng-7012	436	50	(	(	PUNCT
fumecheng-7012	436	51	)	)	PUNCT
fumecheng-7012	436	52	r	r	NOUN
fumecheng-7012	436	53	x	x	SYM
fumecheng-7012	436	54	r	r	NOUN
fumecheng-7012	436	55	x	x	PUNCT
fumecheng-7012	436	56	rx	rx	VERB
fumecheng-7012	436	57	rx	rx	VERB
fumecheng-7012	436	58	rx	rx	VERB
fumecheng-7012	436	59	rx	rx	ADP
fumecheng-7012	436	60	e	e	NOUN
fumecheng-7012	436	61	e	e	X
fumecheng-7012	436	62	e	e	X
fumecheng-7012	436	63	qx	qx	PROPN
fumecheng-7012	436	64	x	x	X
fumecheng-7012	436	65	ex	ex	ADJ
fumecheng-7012	436	66	qx	qx	PROPN
fumecheng-7012	436	67	e	e	NOUN
fumecheng-7012	436	68	q	q	NOUN
fumecheng-7012	436	69	x	x	PUNCT
fumecheng-7012	436	70	x	x	SYM
fumecheng-7012	436	71	x	x	SYM
fumecheng-7012	436	72	xx	xx	NUM
fumecheng-7012	436	73	e	e	NOUN
fumecheng-7012	436	74	qx	qx	NOUN
fumecheng-7012	436	75	−	−	PROPN
fumecheng-7012	436	76	−	−	PROPN
fumecheng-7012	436	77	−	−	PROPN
fumecheng-7012	437	1	=	=	PUNCT
fumecheng-7012	437	2	=	=	PUNCT
fumecheng-7012	437	3	=	=	PUNCT
fumecheng-7012	437	4	=	=	PUNCT
fumecheng-7012	437	5	=	=	PUNCT
fumecheng-7012	437	6	=	=	PUNCT
fumecheng-7012	437	7			NOUN
fumecheng-7012	437	8			NOUN
fumecheng-7012	437	9			NOUN
fumecheng-7012	437	10			NOUN
fumecheng-7012	437	11			NOUN
fumecheng-7012	437	12			NOUN
fumecheng-7012	437	13	(	(	PUNCT
fumecheng-7012	437	14	a5	a5	PROPN
fumecheng-7012	437	15	)	)	PUNCT
fumecheng-7012	437	16	where	where	SCONJ
fumecheng-7012	437	17	(	(	PUNCT
fumecheng-7012	437	18	)	)	PUNCT
fumecheng-7012	437	19	(	(	PUNCT
fumecheng-7012	437	20	)	)	PUNCT
fumecheng-7012	437	21	(	(	PUNCT
fumecheng-7012	437	22	)	)	PUNCT
fumecheng-7012	437	23	13	13	NUM
fumecheng-7012	437	24	3	3	NUM
fumecheng-7012	437	25	1	1	NUM
fumecheng-7012	437	26	3	3	NUM
fumecheng-7012	437	27	3	3	NUM
fumecheng-7012	437	28	3	3	NUM
fumecheng-7012	437	29	3	3	NUM
fumecheng-7012	437	30	1	1	NUM
fumecheng-7012	437	31	2	2	NUM
fumecheng-7012	437	32	2	2	NUM
fumecheng-7012	437	33	2	2	NUM
fumecheng-7012	437	34	2	2	NUM
fumecheng-7012	437	35	;	;	PUNCT
fumecheng-7012	437	36	;	;	PUNCT
fumecheng-7012	437	37	;	;	PUNCT
fumecheng-7012	437	38	2	2	NUM
fumecheng-7012	437	39	2	2	NUM
fumecheng-7012	437	40	3	3	NUM
fumecheng-7012	437	41	2	2	NUM
fumecheng-7012	437	42	/	/	SYM
fumecheng-7012	437	43	3	3	NUM
fumecheng-7012	437	44	2	2	NUM
fumecheng-7012	437	45	2	2	NUM
fumecheng-7012	437	46	;	;	PUNCT
fumecheng-7012	437	47	3	3	NUM
fumecheng-7012	437	48	m	m	NOUN
fumecheng-7012	437	49	n	n	ADP
fumecheng-7012	437	50	r	r	NOUN
fumecheng-7012	437	51	m	m	VERB
fumecheng-7012	437	52	m	m	VERB
fumecheng-7012	437	53	n	n	ADV
fumecheng-7012	437	54	m	m	PROPN
fumecheng-7012	437	55	r	r	NOUN
fumecheng-7012	437	56	q	q	NOUN
fumecheng-7012	437	57	m	m	VERB
fumecheng-7012	437	58	n	n	PRON
fumecheng-7012	437	59			PROPN
fumecheng-7012	437	60			PROPN
fumecheng-7012	437	61			PROPN
fumecheng-7012	437	62			PROPN
fumecheng-7012	437	63			PROPN
fumecheng-7012	437	64			PROPN
fumecheng-7012	437	65			PROPN
fumecheng-7012	437	66			PROPN
fumecheng-7012	437	67	+	+	PROPN
fumecheng-7012	438	1	+	+	PUNCT
fumecheng-7012	439	1	+	+	CCONJ
fumecheng-7012	439	2	−	−	NOUN
fumecheng-7012	439	3	=	=	SYM
fumecheng-7012	439	4	=	=	SYM
fumecheng-7012	439	5			PROPN
fumecheng-7012	439	6			INTJ
fumecheng-7012	439	7			PROPN
fumecheng-7012	439	8			ADJ
fumecheng-7012	439	9			NOUN
fumecheng-7012	439	10			PROPN
fumecheng-7012	439	11			NOUN
fumecheng-7012	439	12			PROPN
fumecheng-7012	439	13			PROPN
fumecheng-7012	439	14	=	=	SYM
fumecheng-7012	439	15	−	−	PROPN
fumecheng-7012	440	1	+	+	CCONJ
fumecheng-7012	440	2			PUNCT
fumecheng-7012	441	1	+	+	CCONJ
fumecheng-7012	441	2	−	−	PROPN
fumecheng-7012	441	3	−	−	NOUN
fumecheng-7012	441	4			NOUN
fumecheng-7012	441	5	−	−	ADP
fumecheng-7012	441	6	−	−	PROPN
fumecheng-7012	442	1	+	+	NOUN
fumecheng-7012	442	2			PUNCT
fumecheng-7012	443	1	+	+	CCONJ
fumecheng-7012	443	2	−	−	PROPN
fumecheng-7012	443	3	−	−	NOUN
fumecheng-7012	443	4			NOUN
fumecheng-7012	444	1	+	+	CCONJ
fumecheng-7012	444	2	−	−	PROPN
fumecheng-7012	444	3	+	+	NUM
fumecheng-7012	444	4			NOUN
fumecheng-7012	444	5	−	−	ADP
fumecheng-7012	445	1	−	−	PROPN
fumecheng-7012	446	1	−	−	PROPN
fumecheng-7012	446	2			NOUN
fumecheng-7012	446	3			PUNCT
fumecheng-7012	446	4			PROPN
fumecheng-7012	446	5	=	=	SYM
fumecheng-7012	446	6	−	−	PROPN
fumecheng-7012	447	1	=	=	SYM
fumecheng-7012	447	2	(	(	PUNCT
fumecheng-7012	447	3	a6	a6	NOUN
fumecheng-7012	447	4	)	)	PUNCT
fumecheng-7012	447	5	in	in	ADP
fumecheng-7012	447	6	case	case	NOUN
fumecheng-7012	447	7	ii	ii	PROPN
fumecheng-7012	447	8	(	(	PUNCT
fumecheng-7012	447	9	δ	δ	PROPN
fumecheng-7012	447	10	=	=	SYM
fumecheng-7012	447	11	α3	α3	PROPN
fumecheng-7012	448	1	+	+	CCONJ
fumecheng-7012	448	2	β2	β2	VERB
fumecheng-7012	448	3	<	<	X
fumecheng-7012	448	4	0	0	NUM
fumecheng-7012	448	5	)	)	PUNCT
fumecheng-7012	448	6	,	,	PUNCT
fumecheng-7012	448	7	the	the	DET
fumecheng-7012	448	8	analytical	analytical	ADJ
fumecheng-7012	448	9	solution	solution	NOUN
fumecheng-7012	448	10	can	can	AUX
fumecheng-7012	448	11	be	be	AUX
fumecheng-7012	448	12	written	write	VERB
fumecheng-7012	448	13	as	as	ADP
fumecheng-7012	448	14	:	:	PUNCT
fumecheng-7012	448	15	1	1	NUM
fumecheng-7012	448	16	2	2	NUM
fumecheng-7012	448	17	1	1	NUM
fumecheng-7012	448	18	2	2	NUM
fumecheng-7012	448	19	1	1	NUM
fumecheng-7012	448	20	2	2	NUM
fumecheng-7012	448	21	3	3	NUM
fumecheng-7012	448	22	4	4	NUM
fumecheng-7012	448	23	5	5	NUM
fumecheng-7012	448	24	6	6	NUM
fumecheng-7012	448	25	(	(	PUNCT
fumecheng-7012	448	26	)	)	PUNCT
fumecheng-7012	448	27	;	;	PUNCT
fumecheng-7012	448	28	(	(	PUNCT
fumecheng-7012	448	29	)	)	PUNCT
fumecheng-7012	448	30	;	;	PUNCT
fumecheng-7012	448	31	(	(	PUNCT
fumecheng-7012	448	32	)	)	PUNCT
fumecheng-7012	448	33	;	;	PUNCT
fumecheng-7012	448	34	(	(	PUNCT
fumecheng-7012	448	35	)	)	PUNCT
fumecheng-7012	448	36	;	;	PUNCT
fumecheng-7012	448	37	(	(	PUNCT
fumecheng-7012	448	38	)	)	PUNCT
fumecheng-7012	448	39	;	;	PUNCT
fumecheng-7012	448	40	(	(	PUNCT
fumecheng-7012	448	41	)	)	PUNCT
fumecheng-7012	448	42	r	r	NOUN
fumecheng-7012	448	43	x	x	PUNCT
fumecheng-7012	448	44	r	r	NOUN
fumecheng-7012	448	45	x	x	PUNCT
fumecheng-7012	448	46	r	r	NOUN
fumecheng-7012	448	47	x	x	NOUN
fumecheng-7012	448	48	r	r	NOUN
fumecheng-7012	448	49	xrx	xrx	PROPN
fumecheng-7012	448	50	rxx	rxx	X
fumecheng-7012	449	1	e	e	NOUN
fumecheng-7012	449	2	x	x	X
fumecheng-7012	449	3	e	e	NOUN
fumecheng-7012	449	4	x	x	X
fumecheng-7012	449	5	e	e	NOUN
fumecheng-7012	449	6	x	x	X
fumecheng-7012	449	7	e	e	NOUN
fumecheng-7012	449	8	x	x	X
fumecheng-7012	449	9	e	e	NOUN
fumecheng-7012	449	10	x	x	X
fumecheng-7012	449	11	e	e	X
fumecheng-7012	449	12	−	−	NOUN
fumecheng-7012	450	1	−−=	−−=	NOUN
fumecheng-7012	451	1	=	=	PUNCT
fumecheng-7012	452	1	=	=	PUNCT
fumecheng-7012	453	1	=	=	PUNCT
fumecheng-7012	454	1	=	=	PUNCT
fumecheng-7012	455	1	=	=	NOUN
fumecheng-7012	455	2			NOUN
fumecheng-7012	455	3			NOUN
fumecheng-7012	455	4			NOUN
fumecheng-7012	455	5			NOUN
fumecheng-7012	455	6			NOUN
fumecheng-7012	455	7			NOUN
fumecheng-7012	455	8	(	(	PUNCT
fumecheng-7012	455	9	a7	a7	PROPN
fumecheng-7012	455	10	)	)	PUNCT
fumecheng-7012	455	11	where	where	SCONJ
fumecheng-7012	455	12	1	1	NUM
fumecheng-7012	455	13	1	1	NUM
fumecheng-7012	455	14	1	1	NUM
fumecheng-7012	455	15	1	1	NUM
fumecheng-7012	455	16	31	31	NUM
fumecheng-7012	455	17	2	2	NUM
fumecheng-7012	455	18	2	2	NUM
fumecheng-7012	455	19	2	2	NUM
fumecheng-7012	455	20	cos	cos	X
fumecheng-7012	455	21	;	;	PUNCT
fumecheng-7012	455	22	2	2	X
fumecheng-7012	455	23	cos	cos	X
fumecheng-7012	455	24	;	;	PUNCT
fumecheng-7012	455	25	3	3	NUM
fumecheng-7012	455	26	3	3	NUM
fumecheng-7012	455	27	3	3	NUM
fumecheng-7012	455	28	3	3	NUM
fumecheng-7012	455	29	4	4	NUM
fumecheng-7012	455	30	2	2	NUM
fumecheng-7012	455	31	cos	cos	NOUN
fumecheng-7012	455	32	;	;	PUNCT
fumecheng-7012	455	33	cos	cos	PROPN
fumecheng-7012	455	34	/	/	SYM
fumecheng-7012	455	35	3	3	NUM
fumecheng-7012	455	36	3	3	NUM
fumecheng-7012	455	37	r	r	NOUN
fumecheng-7012	455	38	r	r	NOUN
fumecheng-7012	455	39	r	r	NOUN
fumecheng-7012	455	40			NOUN
fumecheng-7012	455	41			NOUN
fumecheng-7012	455	42			NOUN
fumecheng-7012	455	43			NOUN
fumecheng-7012	455	44			NOUN
fumecheng-7012	455	45			NOUN
fumecheng-7012	455	46			VERB
fumecheng-7012	455	47			ADJ
fumecheng-7012	455	48			NOUN
fumecheng-7012	455	49			NOUN
fumecheng-7012	455	50			NOUN
fumecheng-7012	455	51	−	−	X
fumecheng-7012	456	1	+	+	NOUN
fumecheng-7012	456	2			PROPN
fumecheng-7012	456	3			ADJ
fumecheng-7012	456	4			PROPN
fumecheng-7012	456	5			NOUN
fumecheng-7012	456	6	=	=	PUNCT
fumecheng-7012	456	7	−	−	NOUN
fumecheng-7012	456	8	−	−	PROPN
fumecheng-7012	456	9	=	=	SYM
fumecheng-7012	456	10	−	−	PROPN
fumecheng-7012	456	11	−	−	X
fumecheng-7012	456	12			ADJ
fumecheng-7012	456	13			NOUN
fumecheng-7012	456	14			NOUN
fumecheng-7012	456	15			NOUN
fumecheng-7012	456	16			PROPN
fumecheng-7012	456	17			VERB
fumecheng-7012	456	18			PROPN
fumecheng-7012	456	19	+	+	PROPN
fumecheng-7012	456	20			PROPN
fumecheng-7012	456	21			ADJ
fumecheng-7012	456	22			PROPN
fumecheng-7012	456	23	=	=	NOUN
fumecheng-7012	456	24	−	−	PROPN
fumecheng-7012	456	25	−	−	PROPN
fumecheng-7012	457	1	=	=	SYM
fumecheng-7012	458	1	−	−	PROPN
fumecheng-7012	458	2	−	−	X
fumecheng-7012	458	3			PROPN
fumecheng-7012	458	4			VERB
fumecheng-7012	458	5			ADJ
fumecheng-7012	458	6			PROPN
fumecheng-7012	458	7			PROPN
fumecheng-7012	458	8	(	(	PUNCT
fumecheng-7012	458	9	a8	a8	PROPN
fumecheng-7012	458	10	)	)	PUNCT
fumecheng-7012	458	11	references	reference	NOUN
fumecheng-7012	458	12	1	1	NUM
fumecheng-7012	458	13	.	.	PUNCT
fumecheng-7012	459	1	li	li	PROPN
fumecheng-7012	459	2	,	,	PUNCT
fumecheng-7012	459	3	x.	x.	PROPN
fumecheng-7012	459	4	,	,	PUNCT
fumecheng-7012	459	5	bhushan	bhushan	PROPN
fumecheng-7012	459	6	,	,	PUNCT
fumecheng-7012	459	7	b.	b.	PROPN
fumecheng-7012	459	8	,	,	PUNCT
fumecheng-7012	459	9	takashima	takashima	PROPN
fumecheng-7012	459	10	,	,	PUNCT
fumecheng-7012	459	11	k.	k.	PROPN
fumecheng-7012	459	12	,	,	PUNCT
fumecheng-7012	459	13	baek	baek	PROPN
fumecheng-7012	459	14	,	,	PUNCT
fumecheng-7012	459	15	c.w	c.w	PROPN
fumecheng-7012	459	16	.	.	PROPN
fumecheng-7012	459	17	,	,	PUNCT
fumecheng-7012	459	18	kim	kim	PROPN
fumecheng-7012	459	19	,	,	PUNCT
fumecheng-7012	459	20	y.k	y.k	PROPN
fumecheng-7012	459	21	.	.	PROPN
fumecheng-7012	459	22	,	,	PUNCT
fumecheng-7012	459	23	2003	2003	NUM
fumecheng-7012	459	24	,	,	PUNCT
fumecheng-7012	459	25	mechanical	mechanical	ADJ
fumecheng-7012	459	26	characterization	characterization	NOUN
fumecheng-7012	459	27	of	of	ADP
fumecheng-7012	459	28	micro	micro	ADJ
fumecheng-7012	459	29	/	/	PROPN
fumecheng-7012	459	30	nanoscale	nanoscale	NOUN
fumecheng-7012	459	31	structures	structure	NOUN
fumecheng-7012	459	32	for	for	ADP
fumecheng-7012	459	33	mems	mem	NOUN
fumecheng-7012	459	34	/	/	SYM
fumecheng-7012	459	35	nems	nem	NOUN
fumecheng-7012	459	36	applications	application	NOUN
fumecheng-7012	459	37	using	use	VERB
fumecheng-7012	459	38	nanoindentation	nanoindentation	NOUN
fumecheng-7012	459	39	techniques	technique	NOUN
fumecheng-7012	459	40	,	,	PUNCT
fumecheng-7012	459	41	ultramicroscopy	ultramicroscopy	NOUN
fumecheng-7012	459	42	,	,	PUNCT
fumecheng-7012	459	43	97(1	97(1	NOUN
fumecheng-7012	459	44	-	-	PUNCT
fumecheng-7012	459	45	4	4	NUM
fumecheng-7012	459	46	)	)	PUNCT
fumecheng-7012	459	47	,	,	PUNCT
fumecheng-7012	459	48	pp	pp	ADP
fumecheng-7012	459	49	.	.	PUNCT
fumecheng-7012	460	1	481	481	NUM
fumecheng-7012	460	2	-	-	SYM
fumecheng-7012	460	3	494	494	NUM
fumecheng-7012	460	4	.	.	NOUN
fumecheng-7012	461	1	2	2	NUM
fumecheng-7012	461	2	.	.	X
fumecheng-7012	461	3	kizuka	kizuka	PROPN
fumecheng-7012	461	4	,	,	PUNCT
fumecheng-7012	461	5	t.	t.	PROPN
fumecheng-7012	461	6	,	,	PUNCT
fumecheng-7012	461	7	takatani	takatani	PROPN
fumecheng-7012	461	8	,	,	PUNCT
fumecheng-7012	461	9	y.	y.	PROPN
fumecheng-7012	461	10	,	,	PUNCT
fumecheng-7012	461	11	asaka	asaka	PROPN
fumecheng-7012	461	12	,	,	PUNCT
fumecheng-7012	461	13	k.	k.	PROPN
fumecheng-7012	461	14	,	,	PUNCT
fumecheng-7012	461	15	yoshizaki	yoshizaki	PROPN
fumecheng-7012	461	16	,	,	PUNCT
fumecheng-7012	461	17	r.	r.	PROPN
fumecheng-7012	461	18	,	,	PUNCT
fumecheng-7012	461	19	2005	2005	NUM
fumecheng-7012	461	20	,	,	PUNCT
fumecheng-7012	461	21	measurements	measurement	NOUN
fumecheng-7012	461	22	of	of	ADP
fumecheng-7012	461	23	the	the	DET
fumecheng-7012	461	24	atomistic	atomistic	ADJ
fumecheng-7012	461	25	mechanics	mechanic	NOUN
fumecheng-7012	461	26	of	of	ADP
fumecheng-7012	461	27	single	single	ADJ
fumecheng-7012	461	28	crystalline	crystalline	ADJ
fumecheng-7012	461	29	silicon	silicon	NOUN
fumecheng-7012	461	30	wires	wire	NOUN
fumecheng-7012	461	31	of	of	ADP
fumecheng-7012	461	32	nanometer	nanometer	NOUN
fumecheng-7012	461	33	width	width	NOUN
fumecheng-7012	461	34	,	,	PUNCT
fumecheng-7012	461	35	physical	physical	ADJ
fumecheng-7012	461	36	review	review	NOUN
fumecheng-7012	461	37	b	b	PROPN
fumecheng-7012	461	38	,	,	PUNCT
fumecheng-7012	461	39	72(3	72(3	NUM
fumecheng-7012	461	40	)	)	PUNCT
fumecheng-7012	461	41	,	,	PUNCT
fumecheng-7012	461	42	035333	035333	NUM
fumecheng-7012	461	43	.	.	PUNCT
fumecheng-7012	462	1	3	3	X
fumecheng-7012	462	2	.	.	X
fumecheng-7012	462	3	ganapathi	ganapathi	NOUN
fumecheng-7012	462	4	,	,	PUNCT
fumecheng-7012	462	5	m.	m.	NOUN
fumecheng-7012	462	6	,	,	PUNCT
fumecheng-7012	462	7	polit	polit	NOUN
fumecheng-7012	462	8	,	,	PUNCT
fumecheng-7012	462	9	o.	o.	NOUN
fumecheng-7012	462	10	,	,	PUNCT
fumecheng-7012	462	11	2018	2018	NUM
fumecheng-7012	462	12	,	,	PUNCT
fumecheng-7012	462	13	a	a	DET
fumecheng-7012	462	14	nonlocal	nonlocal	ADJ
fumecheng-7012	462	15	higher	high	ADJ
fumecheng-7012	462	16	-	-	PUNCT
fumecheng-7012	462	17	order	order	NOUN
fumecheng-7012	462	18	model	model	NOUN
fumecheng-7012	462	19	including	include	VERB
fumecheng-7012	462	20	thickness	thickness	NOUN
fumecheng-7012	462	21	stretching	stretch	VERB
fumecheng-7012	462	22	effect	effect	NOUN
fumecheng-7012	462	23	for	for	ADP
fumecheng-7012	462	24	bending	bend	VERB
fumecheng-7012	462	25	and	and	CCONJ
fumecheng-7012	462	26	buckling	buckling	NOUN
fumecheng-7012	462	27	of	of	ADP
fumecheng-7012	462	28	curved	curved	ADJ
fumecheng-7012	462	29	nanobeams	nanobeam	NOUN
fumecheng-7012	462	30	,	,	PUNCT
fumecheng-7012	462	31	applied	apply	VERB
fumecheng-7012	462	32	mathematical	mathematical	ADJ
fumecheng-7012	462	33	modelling	modelling	NOUN
fumecheng-7012	462	34	,	,	PUNCT
fumecheng-7012	462	35	57	57	NUM
fumecheng-7012	462	36	,	,	PUNCT
fumecheng-7012	462	37	pp	pp	ADJ
fumecheng-7012	462	38	.	.	PUNCT
fumecheng-7012	463	1	121	121	NUM
fumecheng-7012	463	2	-	-	SYM
fumecheng-7012	463	3	141	141	NUM
fumecheng-7012	463	4	.	.	PUNCT
fumecheng-7012	464	1	4	4	NUM
fumecheng-7012	464	2	.	.	X
fumecheng-7012	464	3	demir	demir	PROPN
fumecheng-7012	464	4	,	,	PUNCT
fumecheng-7012	464	5	c.	c.	PROPN
fumecheng-7012	464	6	,	,	PUNCT
fumecheng-7012	464	7	mercan	mercan	NOUN
fumecheng-7012	464	8	,	,	PUNCT
fumecheng-7012	464	9	k.	k.	PROPN
fumecheng-7012	464	10	,	,	PUNCT
fumecheng-7012	464	11	numanoglu	numanoglu	PROPN
fumecheng-7012	464	12	,	,	PUNCT
fumecheng-7012	464	13	h.m	h.m	PROPN
fumecheng-7012	464	14	.	.	PROPN
fumecheng-7012	464	15	,	,	PUNCT
fumecheng-7012	464	16	civalek	civalek	VERB
fumecheng-7012	464	17	,	,	PUNCT
fumecheng-7012	464	18	o.	o.	NOUN
fumecheng-7012	464	19	,	,	PUNCT
fumecheng-7012	464	20	2018	2018	NUM
fumecheng-7012	464	21	,	,	PUNCT
fumecheng-7012	464	22	bending	bend	VERB
fumecheng-7012	464	23	response	response	NOUN
fumecheng-7012	464	24	of	of	ADP
fumecheng-7012	464	25	nanobeams	nanobeam	NOUN
fumecheng-7012	464	26	resting	rest	VERB
fumecheng-7012	464	27	on	on	ADP
fumecheng-7012	464	28	elastic	elastic	ADJ
fumecheng-7012	464	29	foundation	foundation	NOUN
fumecheng-7012	464	30	,	,	PUNCT
fumecheng-7012	464	31	journal	journal	NOUN
fumecheng-7012	464	32	of	of	ADP
fumecheng-7012	464	33	applied	applied	ADJ
fumecheng-7012	464	34	and	and	CCONJ
fumecheng-7012	464	35	computational	computational	ADJ
fumecheng-7012	464	36	mechanics	mechanic	NOUN
fumecheng-7012	464	37	,	,	PUNCT
fumecheng-7012	464	38	4(2	4(2	NUM
fumecheng-7012	464	39	)	)	PUNCT
fumecheng-7012	464	40	,	,	PUNCT
fumecheng-7012	465	1	pp	pp	ADP
fumecheng-7012	465	2	.	.	PUNCT
fumecheng-7012	466	1	105	105	NUM
fumecheng-7012	466	2	-	-	SYM
fumecheng-7012	466	3	114	114	NUM
fumecheng-7012	466	4	.	.	PUNCT
fumecheng-7012	467	1	5	5	X
fumecheng-7012	467	2	.	.	X
fumecheng-7012	467	3	apuzzo	apuzzo	PROPN
fumecheng-7012	467	4	,	,	PUNCT
fumecheng-7012	467	5	a.	a.	NOUN
fumecheng-7012	467	6	,	,	PUNCT
fumecheng-7012	467	7	barretta	barretta	PROPN
fumecheng-7012	467	8	,	,	PUNCT
fumecheng-7012	467	9	r.	r.	PROPN
fumecheng-7012	467	10	,	,	PUNCT
fumecheng-7012	467	11	fabbrocino	fabbrocino	PROPN
fumecheng-7012	467	12	,	,	PUNCT
fumecheng-7012	467	13	f.	f.	PROPN
fumecheng-7012	467	14	,	,	PUNCT
fumecheng-7012	467	15	faghidian	faghidian	PROPN
fumecheng-7012	467	16	,	,	PUNCT
fumecheng-7012	467	17	s.a	s.a	PROPN
fumecheng-7012	467	18	.	.	PROPN
fumecheng-7012	467	19	,	,	PUNCT
fumecheng-7012	467	20	luciano	luciano	PROPN
fumecheng-7012	467	21	,	,	PUNCT
fumecheng-7012	467	22	r.	r.	PROPN
fumecheng-7012	467	23	,	,	PUNCT
fumecheng-7012	467	24	marotti	marotti	PROPN
fumecheng-7012	467	25	de	de	X
fumecheng-7012	467	26	sciarra	sciarra	PROPN
fumecheng-7012	467	27	,	,	PUNCT
fumecheng-7012	467	28	f.	f.	PROPN
fumecheng-7012	467	29	,	,	PUNCT
fumecheng-7012	467	30	2019	2019	NUM
fumecheng-7012	467	31	,	,	PUNCT
fumecheng-7012	467	32	axial	axial	ADJ
fumecheng-7012	467	33	and	and	CCONJ
fumecheng-7012	467	34	torsional	torsional	ADJ
fumecheng-7012	467	35	free	free	ADJ
fumecheng-7012	467	36	vibrations	vibration	NOUN
fumecheng-7012	467	37	of	of	ADP
fumecheng-7012	467	38	elastic	elastic	ADJ
fumecheng-7012	467	39	nano	nano	NOUN
fumecheng-7012	467	40	-	-	PUNCT
fumecheng-7012	467	41	beams	beam	NOUN
fumecheng-7012	467	42	by	by	ADP
fumecheng-7012	467	43	stress	stress	NOUN
fumecheng-7012	467	44	-	-	PUNCT
fumecheng-7012	467	45	driven	drive	VERB
fumecheng-7012	467	46	two	two	NUM
fumecheng-7012	467	47	-	-	PUNCT
fumecheng-7012	467	48	phase	phase	NOUN
fumecheng-7012	467	49	elasticity	elasticity	NOUN
fumecheng-7012	467	50	,	,	PUNCT
fumecheng-7012	467	51	journal	journal	NOUN
fumecheng-7012	467	52	of	of	ADP
fumecheng-7012	467	53	applied	applied	ADJ
fumecheng-7012	467	54	and	and	CCONJ
fumecheng-7012	467	55	computational	computational	ADJ
fumecheng-7012	467	56	mechanics	mechanic	NOUN
fumecheng-7012	467	57	,	,	PUNCT
fumecheng-7012	467	58	5(2	5(2	NUM
fumecheng-7012	467	59	)	)	PUNCT
fumecheng-7012	467	60	,	,	PUNCT
fumecheng-7012	467	61	pp	pp	ADP
fumecheng-7012	467	62	.	.	PUNCT
fumecheng-7012	468	1	402	402	NUM
fumecheng-7012	468	2	-	-	SYM
fumecheng-7012	468	3	413	413	NUM
fumecheng-7012	468	4	.	.	PUNCT
fumecheng-7012	469	1	6	6	NUM
fumecheng-7012	469	2	.	.	X
fumecheng-7012	469	3	wen	wen	PROPN
fumecheng-7012	469	4	,	,	PUNCT
fumecheng-7012	469	5	y.h	y.h	PROPN
fumecheng-7012	469	6	.	.	PROPN
fumecheng-7012	469	7	,	,	PUNCT
fumecheng-7012	469	8	zhu	zhu	PROPN
fumecheng-7012	469	9	,	,	PUNCT
fumecheng-7012	469	10	z.z	z.z	PROPN
fumecheng-7012	469	11	.	.	PROPN
fumecheng-7012	469	12	,	,	PUNCT
fumecheng-7012	469	13	zhu	zhu	PROPN
fumecheng-7012	469	14	,	,	PUNCT
fumecheng-7012	469	15	r.z	r.z	PROPN
fumecheng-7012	469	16	.	.	PROPN
fumecheng-7012	469	17	,	,	PUNCT
fumecheng-7012	469	18	2008	2008	NUM
fumecheng-7012	469	19	,	,	PUNCT
fumecheng-7012	469	20	molecular	molecular	ADJ
fumecheng-7012	469	21	dynamics	dynamic	NOUN
fumecheng-7012	469	22	study	study	NOUN
fumecheng-7012	469	23	of	of	ADP
fumecheng-7012	469	24	the	the	DET
fumecheng-7012	469	25	mechanical	mechanical	ADJ
fumecheng-7012	469	26	behavior	behavior	NOUN
fumecheng-7012	469	27	of	of	ADP
fumecheng-7012	469	28	nickel	nickel	NOUN
fumecheng-7012	469	29	nanowire	nanowire	NOUN
fumecheng-7012	469	30	:	:	PUNCT
fumecheng-7012	469	31	strain	strain	NOUN
fumecheng-7012	469	32	rate	rate	NOUN
fumecheng-7012	469	33	effects	effect	NOUN
fumecheng-7012	469	34	,	,	PUNCT
fumecheng-7012	469	35	computational	computational	ADJ
fumecheng-7012	469	36	materials	material	NOUN
fumecheng-7012	469	37	science	science	NOUN
fumecheng-7012	469	38	,	,	PUNCT
fumecheng-7012	469	39	41(4	41(4	NUM
fumecheng-7012	469	40	)	)	PUNCT
fumecheng-7012	469	41	,	,	PUNCT
fumecheng-7012	470	1	pp	pp	ADP
fumecheng-7012	470	2	.	.	PUNCT
fumecheng-7012	471	1	553	553	NUM
fumecheng-7012	471	2	-	-	SYM
fumecheng-7012	471	3	560	560	NUM
fumecheng-7012	471	4	.	.	NOUN
fumecheng-7012	471	5	7	7	X
fumecheng-7012	471	6	.	.	X
fumecheng-7012	471	7	domekeli	domekeli	PROPN
fumecheng-7012	471	8	,	,	PUNCT
fumecheng-7012	471	9	u.	u.	PROPN
fumecheng-7012	471	10	,	,	PUNCT
fumecheng-7012	471	11	sengul	sengul	NOUN
fumecheng-7012	471	12	,	,	PUNCT
fumecheng-7012	471	13	s.	s.	PROPN
fumecheng-7012	471	14	,	,	PUNCT
fumecheng-7012	471	15	celtek	celtek	PROPN
fumecheng-7012	471	16	,	,	PUNCT
fumecheng-7012	471	17	m.	m.	NOUN
fumecheng-7012	471	18	,	,	PUNCT
fumecheng-7012	471	19	canan	canan	PROPN
fumecheng-7012	471	20	,	,	PUNCT
fumecheng-7012	471	21	c.	c.	PROPN
fumecheng-7012	471	22	,	,	PUNCT
fumecheng-7012	471	23	2017	2017	NUM
fumecheng-7012	471	24	,	,	PUNCT
fumecheng-7012	471	25	the	the	DET
fumecheng-7012	471	26	melting	melting	NOUN
fumecheng-7012	471	27	mechanism	mechanism	NOUN
fumecheng-7012	471	28	in	in	ADP
fumecheng-7012	471	29	binary	binary	ADJ
fumecheng-7012	471	30	pd0.25ni0.75	pd0.25ni0.75	ADJ
fumecheng-7012	471	31	nanoparticles	nanoparticle	NOUN
fumecheng-7012	471	32	:	:	PUNCT
fumecheng-7012	471	33	molecular	molecular	ADJ
fumecheng-7012	471	34	dynamics	dynamic	NOUN
fumecheng-7012	471	35	simulations	simulation	NOUN
fumecheng-7012	471	36	,	,	PUNCT
fumecheng-7012	471	37	philosophical	philosophical	ADJ
fumecheng-7012	471	38	magazine	magazine	NOUN
fumecheng-7012	471	39	,	,	PUNCT
fumecheng-7012	471	40	98(5	98(5	PROPN
fumecheng-7012	471	41	)	)	PUNCT
fumecheng-7012	471	42	,	,	PUNCT
fumecheng-7012	471	43	pp	pp	PROPN
fumecheng-7012	471	44	.	.	PUNCT
fumecheng-7012	472	1	371	371	NUM
fumecheng-7012	472	2	-	-	SYM
fumecheng-7012	472	3	387	387	NUM
fumecheng-7012	472	4	.	.	NOUN
fumecheng-7012	472	5	8	8	NUM
fumecheng-7012	472	6	.	.	X
fumecheng-7012	473	1	frink	frink	NOUN
fumecheng-7012	473	2	,	,	PUNCT
fumecheng-7012	473	3	l.j.d	l.j.d	NOUN
fumecheng-7012	473	4	.	.	PUNCT
fumecheng-7012	473	5	,	,	PUNCT
fumecheng-7012	473	6	salinger	salinger	PROPN
fumecheng-7012	473	7	,	,	PUNCT
fumecheng-7012	473	8	a.g	a.g	PROPN
fumecheng-7012	473	9	.	.	PROPN
fumecheng-7012	473	10	,	,	PUNCT
fumecheng-7012	473	11	sears	sears	PROPN
fumecheng-7012	473	12	,	,	PUNCT
fumecheng-7012	473	13	m.p	m.p	PROPN
fumecheng-7012	473	14	.	.	PROPN
fumecheng-7012	473	15	,	,	PUNCT
fumecheng-7012	473	16	weinhold	weinhold	PROPN
fumecheng-7012	473	17	,	,	PUNCT
fumecheng-7012	473	18	j.d	j.d	PROPN
fumecheng-7012	473	19	.	.	PROPN
fumecheng-7012	473	20	,	,	PUNCT
fumecheng-7012	473	21	frischknecht	frischknecht	PROPN
fumecheng-7012	473	22	,	,	PUNCT
fumecheng-7012	473	23	a.l	a.l	PROPN
fumecheng-7012	473	24	.	.	PROPN
fumecheng-7012	473	25	,	,	PUNCT
fumecheng-7012	473	26	2002	2002	NUM
fumecheng-7012	473	27	,	,	PUNCT
fumecheng-7012	473	28	numerical	numerical	ADJ
fumecheng-7012	473	29	challenges	challenge	NOUN
fumecheng-7012	473	30	in	in	ADP
fumecheng-7012	473	31	the	the	DET
fumecheng-7012	473	32	application	application	NOUN
fumecheng-7012	473	33	of	of	ADP
fumecheng-7012	473	34	density	density	NOUN
fumecheng-7012	473	35	functional	functional	ADJ
fumecheng-7012	473	36	theory	theory	NOUN
fumecheng-7012	473	37	to	to	ADP
fumecheng-7012	473	38	biology	biology	NOUN
fumecheng-7012	473	39	and	and	CCONJ
fumecheng-7012	473	40	nanotechnology	nanotechnology	NOUN
fumecheng-7012	473	41	,	,	PUNCT
fumecheng-7012	473	42	journal	journal	PROPN
fumecheng-7012	473	43	of	of	ADP
fumecheng-7012	473	44	physics	physics	NOUN
fumecheng-7012	473	45	condensed	condense	VERB
fumecheng-7012	473	46	matter	matter	NOUN
fumecheng-7012	473	47	,	,	PUNCT
fumecheng-7012	473	48	14(46	14(46	NUM
fumecheng-7012	473	49	)	)	PUNCT
fumecheng-7012	473	50	,	,	PUNCT
fumecheng-7012	473	51	pp	pp	ADP
fumecheng-7012	473	52	.	.	PUNCT
fumecheng-7012	474	1	12167	12167	NUM
fumecheng-7012	474	2	-	-	SYM
fumecheng-7012	474	3	12187	12187	NUM
fumecheng-7012	474	4	.	.	PUNCT
fumecheng-7012	475	1	9	9	X
fumecheng-7012	475	2	.	.	X
fumecheng-7012	475	3	da	da	PROPN
fumecheng-7012	475	4	silva	silva	PROPN
fumecheng-7012	475	5	,	,	PUNCT
fumecheng-7012	475	6	e.z	e.z	PROPN
fumecheng-7012	475	7	.	.	PROPN
fumecheng-7012	475	8	,	,	PUNCT
fumecheng-7012	475	9	novaes	novaes	PROPN
fumecheng-7012	475	10	,	,	PUNCT
fumecheng-7012	475	11	f.d	f.d	PROPN
fumecheng-7012	475	12	.	.	PROPN
fumecheng-7012	475	13	,	,	PUNCT
fumecheng-7012	475	14	da	da	PROPN
fumecheng-7012	475	15	silva	silva	PROPN
fumecheng-7012	475	16	,	,	PUNCT
fumecheng-7012	475	17	a.j.r	a.j.r	NOUN
fumecheng-7012	475	18	.	.	PROPN
fumecheng-7012	475	19	,	,	PUNCT
fumecheng-7012	475	20	fazzio	fazzio	PROPN
fumecheng-7012	475	21	,	,	PUNCT
fumecheng-7012	475	22	a.	a.	NOUN
fumecheng-7012	475	23	,	,	PUNCT
fumecheng-7012	475	24	2004	2004	NUM
fumecheng-7012	475	25	,	,	PUNCT
fumecheng-7012	475	26	theoretical	theoretical	ADJ
fumecheng-7012	475	27	study	study	NOUN
fumecheng-7012	475	28	of	of	ADP
fumecheng-7012	475	29	the	the	DET
fumecheng-7012	475	30	formation	formation	NOUN
fumecheng-7012	475	31	,	,	PUNCT
fumecheng-7012	475	32	evolution	evolution	NOUN
fumecheng-7012	475	33	,	,	PUNCT
fumecheng-7012	475	34	and	and	CCONJ
fumecheng-7012	475	35	breaking	breaking	NOUN
fumecheng-7012	475	36	of	of	ADP
fumecheng-7012	475	37	gold	gold	NOUN
fumecheng-7012	475	38	nanowires	nanowire	NOUN
fumecheng-7012	475	39	,	,	PUNCT
fumecheng-7012	475	40	physical	physical	ADJ
fumecheng-7012	475	41	review	review	NOUN
fumecheng-7012	475	42	b	b	PROPN
fumecheng-7012	475	43	,	,	PUNCT
fumecheng-7012	475	44	69	69	NUM
fumecheng-7012	475	45	,	,	PUNCT
fumecheng-7012	475	46	115411	115411	NUM
fumecheng-7012	475	47	.	.	PUNCT
fumecheng-7012	476	1	10	10	NUM
fumecheng-7012	476	2	.	.	X
fumecheng-7012	477	1	wang	wang	PROPN
fumecheng-7012	477	2	,	,	PUNCT
fumecheng-7012	477	3	q.	q.	PROPN
fumecheng-7012	477	4	,	,	PUNCT
fumecheng-7012	477	5	varadan	varadan	PROPN
fumecheng-7012	477	6	,	,	PUNCT
fumecheng-7012	477	7	v.k	v.k	PROPN
fumecheng-7012	477	8	.	.	PROPN
fumecheng-7012	477	9	,	,	PUNCT
fumecheng-7012	477	10	2005	2005	NUM
fumecheng-7012	477	11	,	,	PUNCT
fumecheng-7012	477	12	stability	stability	NOUN
fumecheng-7012	477	13	analysis	analysis	NOUN
fumecheng-7012	477	14	of	of	ADP
fumecheng-7012	477	15	carbon	carbon	NOUN
fumecheng-7012	477	16	nanotubes	nanotube	NOUN
fumecheng-7012	477	17	via	via	ADP
fumecheng-7012	477	18	continuum	continuum	ADJ
fumecheng-7012	477	19	models	model	NOUN
fumecheng-7012	477	20	,	,	PUNCT
fumecheng-7012	477	21	smart	smart	ADJ
fumecheng-7012	477	22	materials	material	NOUN
fumecheng-7012	477	23	and	and	CCONJ
fumecheng-7012	477	24	structures	structure	NOUN
fumecheng-7012	477	25	,	,	PUNCT
fumecheng-7012	477	26	14(1	14(1	NUM
fumecheng-7012	477	27	)	)	PUNCT
fumecheng-7012	477	28	,	,	PUNCT
fumecheng-7012	477	29	pp	pp	PROPN
fumecheng-7012	477	30	.	.	PUNCT
fumecheng-7012	478	1	281	281	NUM
fumecheng-7012	478	2	-	-	SYM
fumecheng-7012	478	3	286	286	NUM
fumecheng-7012	478	4	.	.	PUNCT
fumecheng-7012	479	1	11	11	NUM
fumecheng-7012	479	2	.	.	PUNCT
fumecheng-7012	480	1	khodabakhshi	khodabakhshi	PROPN
fumecheng-7012	480	2	,	,	PUNCT
fumecheng-7012	480	3	p.	p.	PROPN
fumecheng-7012	480	4	,	,	PUNCT
fumecheng-7012	480	5	reddy	reddy	PROPN
fumecheng-7012	480	6	,	,	PUNCT
fumecheng-7012	480	7	j.n	j.n	PROPN
fumecheng-7012	480	8	.	.	PROPN
fumecheng-7012	480	9	,	,	PUNCT
fumecheng-7012	480	10	2017	2017	NUM
fumecheng-7012	480	11	,	,	PUNCT
fumecheng-7012	480	12	a	a	DET
fumecheng-7012	480	13	unified	unified	ADJ
fumecheng-7012	480	14	beam	beam	NOUN
fumecheng-7012	480	15	theory	theory	NOUN
fumecheng-7012	480	16	with	with	ADP
fumecheng-7012	480	17	strain	strain	NOUN
fumecheng-7012	480	18	gradient	gradient	ADJ
fumecheng-7012	480	19	effect	effect	NOUN
fumecheng-7012	480	20	and	and	CCONJ
fumecheng-7012	480	21	the	the	DET
fumecheng-7012	480	22	von	von	PROPN
fumecheng-7012	480	23	kármán	kármán	PROPN
fumecheng-7012	480	24	nonlinearity	nonlinearity	PROPN
fumecheng-7012	480	25	,	,	PUNCT
fumecheng-7012	480	26	zamm	zamm	PROPN
fumecheng-7012	480	27	journal	journal	PROPN
fumecheng-7012	480	28	of	of	ADP
fumecheng-7012	480	29	applied	apply	VERB
fumecheng-7012	480	30	mathematics	mathematic	NOUN
fumecheng-7012	480	31	and	and	CCONJ
fumecheng-7012	480	32	mechanics	mechanic	NOUN
fumecheng-7012	480	33	:	:	PUNCT
fumecheng-7012	480	34	zeitschrift	zeitschrift	NOUN
fumecheng-7012	480	35	für	für	PROPN
fumecheng-7012	480	36	angewandte	angewandte	PROPN
fumecheng-7012	480	37	mathematik	mathematik	PROPN
fumecheng-7012	480	38	und	und	PROPN
fumecheng-7012	480	39	mechanik	mechanik	PROPN
fumecheng-7012	480	40	,	,	PUNCT
fumecheng-7012	480	41	97(1	97(1	NOUN
fumecheng-7012	480	42	)	)	PUNCT
fumecheng-7012	480	43	,	,	PUNCT
fumecheng-7012	480	44	pp	pp	ADJ
fumecheng-7012	480	45	.	.	PUNCT
fumecheng-7012	481	1	70	70	NUM
fumecheng-7012	481	2	-	-	SYM
fumecheng-7012	481	3	91	91	NUM
fumecheng-7012	481	4	.	.	PUNCT
fumecheng-7012	482	1	fourth	fourth	ADJ
fumecheng-7012	482	2	-	-	PUNCT
fumecheng-7012	482	3	order	order	NOUN
fumecheng-7012	482	4	strain	strain	VERB
fumecheng-7012	482	5	gradient	gradient	ADJ
fumecheng-7012	482	6	bar	bar	NOUN
fumecheng-7012	482	7	-	-	PUNCT
fumecheng-7012	482	8	substrate	substrate	NOUN
fumecheng-7012	482	9	model	model	NOUN
fumecheng-7012	482	10	with	with	ADP
fumecheng-7012	482	11	nonlocal	nonlocal	ADJ
fumecheng-7012	482	12	and	and	CCONJ
fumecheng-7012	482	13	surface	surface	NOUN
fumecheng-7012	482	14	effects	effect	NOUN
fumecheng-7012	482	15	...	...	PUNCT
fumecheng-7012	482	16	679	679	NUM
fumecheng-7012	482	17	12	12	NUM
fumecheng-7012	482	18	.	.	PUNCT
fumecheng-7012	483	1	karličić	karličić	PROPN
fumecheng-7012	483	2	,	,	PUNCT
fumecheng-7012	483	3	d.	d.	PROPN
fumecheng-7012	483	4	,	,	PUNCT
fumecheng-7012	483	5	murmu	murmu	NOUN
fumecheng-7012	483	6	,	,	PUNCT
fumecheng-7012	483	7	t.	t.	PROPN
fumecheng-7012	483	8	,	,	PUNCT
fumecheng-7012	483	9	adhikari	adhikari	PROPN
fumecheng-7012	483	10	,	,	PUNCT
fumecheng-7012	483	11	s.	s.	PROPN
fumecheng-7012	483	12	,	,	PUNCT
fumecheng-7012	483	13	mccarthy	mccarthy	PROPN
fumecheng-7012	483	14	,	,	PUNCT
fumecheng-7012	483	15	m.	m.	NOUN
fumecheng-7012	483	16	,	,	PUNCT
fumecheng-7012	483	17	2016	2016	NUM
fumecheng-7012	483	18	,	,	PUNCT
fumecheng-7012	483	19	non‐local	non‐local	ADJ
fumecheng-7012	483	20	structural	structural	ADJ
fumecheng-7012	483	21	mechanics	mechanic	NOUN
fumecheng-7012	483	22	,	,	PUNCT
fumecheng-7012	483	23	iste	iste	PROPN
fumecheng-7012	483	24	ltd	ltd	PROPN
fumecheng-7012	483	25	and	and	CCONJ
fumecheng-7012	483	26	john	john	PROPN
fumecheng-7012	483	27	wiley	wiley	PROPN
fumecheng-7012	483	28	&	&	CCONJ
fumecheng-7012	483	29	sons	sons	PROPN
fumecheng-7012	483	30	,	,	PUNCT
fumecheng-7012	483	31	inc	inc	PROPN
fumecheng-7012	483	32	.	.	PROPN
fumecheng-7012	483	33	13	13	NUM
fumecheng-7012	483	34	.	.	PUNCT
fumecheng-7012	484	1	eringen	eringen	PROPN
fumecheng-7012	484	2	,	,	PUNCT
fumecheng-7012	484	3	a.c	a.c	PROPN
fumecheng-7012	484	4	.	.	PROPN
fumecheng-7012	484	5	,	,	PUNCT
fumecheng-7012	484	6	1972	1972	NUM
fumecheng-7012	484	7	,	,	PUNCT
fumecheng-7012	484	8	nonlocal	nonlocal	ADJ
fumecheng-7012	484	9	polar	polar	ADJ
fumecheng-7012	484	10	elastic	elastic	ADJ
fumecheng-7012	484	11	continua	continuum	NOUN
fumecheng-7012	484	12	,	,	PUNCT
fumecheng-7012	484	13	international	international	ADJ
fumecheng-7012	484	14	journal	journal	NOUN
fumecheng-7012	484	15	of	of	ADP
fumecheng-7012	484	16	engineering	engineering	NOUN
fumecheng-7012	484	17	science	science	NOUN
fumecheng-7012	484	18	,	,	PUNCT
fumecheng-7012	484	19	10(1	10(1	NUM
fumecheng-7012	484	20	)	)	PUNCT
fumecheng-7012	484	21	,	,	PUNCT
fumecheng-7012	484	22	pp	pp	PROPN
fumecheng-7012	484	23	.	.	PUNCT
fumecheng-7012	485	1	1	1	NUM
fumecheng-7012	485	2	-	-	SYM
fumecheng-7012	485	3	16	16	NUM
fumecheng-7012	485	4	.	.	PUNCT
fumecheng-7012	486	1	14	14	NUM
fumecheng-7012	486	2	.	.	PUNCT
fumecheng-7012	487	1	eringen	eringen	PROPN
fumecheng-7012	487	2	,	,	PUNCT
fumecheng-7012	487	3	a.c	a.c	PROPN
fumecheng-7012	487	4	.	.	PROPN
fumecheng-7012	487	5	,	,	PUNCT
fumecheng-7012	487	6	1983	1983	NUM
fumecheng-7012	487	7	,	,	PUNCT
fumecheng-7012	487	8	on	on	ADP
fumecheng-7012	487	9	differential	differential	ADJ
fumecheng-7012	487	10	equations	equation	NOUN
fumecheng-7012	487	11	of	of	ADP
fumecheng-7012	487	12	nonlocal	nonlocal	ADJ
fumecheng-7012	487	13	elasticity	elasticity	NOUN
fumecheng-7012	487	14	and	and	CCONJ
fumecheng-7012	487	15	solutions	solution	NOUN
fumecheng-7012	487	16	of	of	ADP
fumecheng-7012	487	17	screw	screw	ADJ
fumecheng-7012	487	18	dislocation	dislocation	NOUN
fumecheng-7012	487	19	and	and	CCONJ
fumecheng-7012	487	20	surface	surface	NOUN
fumecheng-7012	487	21	waves	wave	NOUN
fumecheng-7012	487	22	,	,	PUNCT
fumecheng-7012	487	23	journal	journal	NOUN
fumecheng-7012	487	24	of	of	ADP
fumecheng-7012	487	25	applied	applied	ADJ
fumecheng-7012	487	26	physics	physics	NOUN
fumecheng-7012	487	27	,	,	PUNCT
fumecheng-7012	487	28	54(9	54(9	NOUN
fumecheng-7012	487	29	)	)	PUNCT
fumecheng-7012	487	30	,	,	PUNCT
fumecheng-7012	487	31	pp	pp	ADP
fumecheng-7012	487	32	.	.	PUNCT
fumecheng-7012	487	33	4703	4703	NUM
fumecheng-7012	487	34	-	-	SYM
fumecheng-7012	487	35	4710	4710	NUM
fumecheng-7012	487	36	.	.	PUNCT
fumecheng-7012	488	1	15	15	NUM
fumecheng-7012	488	2	.	.	PUNCT
fumecheng-7012	489	1	mindlin	mindlin	PROPN
fumecheng-7012	489	2	,	,	PUNCT
fumecheng-7012	489	3	r.d	r.d	PROPN
fumecheng-7012	489	4	.	.	PROPN
fumecheng-7012	489	5	,	,	PUNCT
fumecheng-7012	489	6	tiersten	tiersten	VERB
fumecheng-7012	489	7	,	,	PUNCT
fumecheng-7012	489	8	h.f	h.f	PROPN
fumecheng-7012	489	9	.	.	PROPN
fumecheng-7012	489	10	,	,	PUNCT
fumecheng-7012	489	11	1962	1962	NUM
fumecheng-7012	489	12	,	,	PUNCT
fumecheng-7012	489	13	effects	effect	NOUN
fumecheng-7012	489	14	of	of	ADP
fumecheng-7012	489	15	couple	couple	NOUN
fumecheng-7012	489	16	-	-	PUNCT
fumecheng-7012	489	17	stresses	stress	NOUN
fumecheng-7012	489	18	in	in	ADP
fumecheng-7012	489	19	linear	linear	PROPN
fumecheng-7012	489	20	elasticity	elasticity	NOUN
fumecheng-7012	489	21	,	,	PUNCT
fumecheng-7012	489	22	archive	archive	NOUN
fumecheng-7012	489	23	for	for	ADP
fumecheng-7012	489	24	rational	rational	ADJ
fumecheng-7012	489	25	mechanics	mechanic	NOUN
fumecheng-7012	489	26	and	and	CCONJ
fumecheng-7012	489	27	analysis	analysis	NOUN
fumecheng-7012	489	28	,	,	PUNCT
fumecheng-7012	489	29	11	11	NUM
fumecheng-7012	489	30	,	,	PUNCT
fumecheng-7012	489	31	pp	pp	ADJ
fumecheng-7012	489	32	.	.	PUNCT
fumecheng-7012	490	1	415	415	NUM
fumecheng-7012	490	2	-	-	SYM
fumecheng-7012	490	3	448	448	NUM
fumecheng-7012	490	4	.	.	PUNCT
fumecheng-7012	491	1	16	16	NUM
fumecheng-7012	491	2	.	.	PUNCT
fumecheng-7012	492	1	ebrahimi	ebrahimi	PROPN
fumecheng-7012	492	2	,	,	PUNCT
fumecheng-7012	492	3	f.	f.	PROPN
fumecheng-7012	492	4	,	,	PUNCT
fumecheng-7012	492	5	barati	barati	PROPN
fumecheng-7012	492	6	,	,	PUNCT
fumecheng-7012	492	7	m.r	m.r	PROPN
fumecheng-7012	492	8	.	.	PROPN
fumecheng-7012	492	9	,	,	PUNCT
fumecheng-7012	492	10	2017	2017	NUM
fumecheng-7012	492	11	,	,	PUNCT
fumecheng-7012	492	12	a	a	DET
fumecheng-7012	492	13	modified	modify	VERB
fumecheng-7012	492	14	nonlocal	nonlocal	ADJ
fumecheng-7012	492	15	couple	couple	NOUN
fumecheng-7012	492	16	stress	stress	NOUN
fumecheng-7012	492	17	-	-	PUNCT
fumecheng-7012	492	18	based	base	VERB
fumecheng-7012	492	19	beam	beam	NOUN
fumecheng-7012	492	20	model	model	NOUN
fumecheng-7012	492	21	for	for	ADP
fumecheng-7012	492	22	vibration	vibration	NOUN
fumecheng-7012	492	23	analysis	analysis	NOUN
fumecheng-7012	492	24	of	of	ADP
fumecheng-7012	492	25	higher	high	ADJ
fumecheng-7012	492	26	-	-	PUNCT
fumecheng-7012	492	27	order	order	NOUN
fumecheng-7012	492	28	fg	fg	PROPN
fumecheng-7012	492	29	nanobeams	nanobeam	NOUN
fumecheng-7012	492	30	,	,	PUNCT
fumecheng-7012	492	31	mechanics	mechanic	NOUN
fumecheng-7012	492	32	of	of	ADP
fumecheng-7012	492	33	advanced	advanced	ADJ
fumecheng-7012	492	34	materials	material	NOUN
fumecheng-7012	492	35	and	and	CCONJ
fumecheng-7012	492	36	structures	structure	NOUN
fumecheng-7012	492	37	,	,	PUNCT
fumecheng-7012	492	38	25(13	25(13	NUM
fumecheng-7012	492	39	)	)	PUNCT
fumecheng-7012	492	40	,	,	PUNCT
fumecheng-7012	492	41	pp	pp	PROPN
fumecheng-7012	492	42	.	.	PUNCT
fumecheng-7012	493	1	1121	1121	NUM
fumecheng-7012	493	2	-	-	SYM
fumecheng-7012	493	3	1132	1132	NUM
fumecheng-7012	493	4	.	.	PUNCT
fumecheng-7012	494	1	17	17	NUM
fumecheng-7012	494	2	.	.	X
fumecheng-7012	494	3	sourki	sourki	PROPN
fumecheng-7012	494	4	,	,	PUNCT
fumecheng-7012	494	5	r.	r.	PROPN
fumecheng-7012	494	6	,	,	PUNCT
fumecheng-7012	494	7	hosseini	hosseini	PROPN
fumecheng-7012	494	8	,	,	PUNCT
fumecheng-7012	494	9	s.a	s.a	PROPN
fumecheng-7012	494	10	.	.	PROPN
fumecheng-7012	494	11	,	,	PUNCT
fumecheng-7012	494	12	2017	2017	NUM
fumecheng-7012	494	13	,	,	PUNCT
fumecheng-7012	494	14	coupling	couple	VERB
fumecheng-7012	494	15	effects	effect	NOUN
fumecheng-7012	494	16	of	of	ADP
fumecheng-7012	494	17	nonlocal	nonlocal	ADJ
fumecheng-7012	494	18	and	and	CCONJ
fumecheng-7012	494	19	modified	modify	VERB
fumecheng-7012	494	20	couple	couple	NOUN
fumecheng-7012	494	21	stress	stress	NOUN
fumecheng-7012	494	22	theories	theory	NOUN
fumecheng-7012	494	23	incorporating	incorporate	VERB
fumecheng-7012	494	24	surface	surface	NOUN
fumecheng-7012	494	25	energy	energy	NOUN
fumecheng-7012	494	26	on	on	ADP
fumecheng-7012	494	27	analytical	analytical	ADJ
fumecheng-7012	494	28	transverse	transverse	NOUN
fumecheng-7012	494	29	vibration	vibration	NOUN
fumecheng-7012	494	30	of	of	ADP
fumecheng-7012	494	31	a	a	DET
fumecheng-7012	494	32	weakened	weakened	ADJ
fumecheng-7012	494	33	nanobeam	nanobeam	NOUN
fumecheng-7012	494	34	,	,	PUNCT
fumecheng-7012	494	35	the	the	DET
fumecheng-7012	494	36	european	european	PROPN
fumecheng-7012	494	37	physical	physical	PROPN
fumecheng-7012	494	38	journal	journal	PROPN
fumecheng-7012	494	39	plus	plus	CCONJ
fumecheng-7012	494	40	,	,	PUNCT
fumecheng-7012	494	41	132	132	NUM
fumecheng-7012	494	42	,	,	PUNCT
fumecheng-7012	494	43	184	184	NUM
fumecheng-7012	494	44	.	.	NOUN
fumecheng-7012	494	45	18	18	NUM
fumecheng-7012	494	46	.	.	PUNCT
fumecheng-7012	495	1	mindlin	mindlin	PROPN
fumecheng-7012	495	2	,	,	PUNCT
fumecheng-7012	495	3	r.d	r.d	PROPN
fumecheng-7012	495	4	.	.	PROPN
fumecheng-7012	495	5	,	,	PUNCT
fumecheng-7012	495	6	1964	1964	NUM
fumecheng-7012	495	7	,	,	PUNCT
fumecheng-7012	495	8	micro	micro	NOUN
fumecheng-7012	495	9	-	-	NOUN
fumecheng-7012	495	10	structure	structure	NOUN
fumecheng-7012	495	11	in	in	ADP
fumecheng-7012	495	12	linear	linear	PROPN
fumecheng-7012	495	13	elasticity	elasticity	NOUN
fumecheng-7012	495	14	,	,	PUNCT
fumecheng-7012	495	15	archive	archive	NOUN
fumecheng-7012	495	16	for	for	ADP
fumecheng-7012	495	17	rational	rational	ADJ
fumecheng-7012	495	18	mechanics	mechanic	NOUN
fumecheng-7012	495	19	and	and	CCONJ
fumecheng-7012	495	20	analysis	analysis	NOUN
fumecheng-7012	495	21	,	,	PUNCT
fumecheng-7012	495	22	16	16	NUM
fumecheng-7012	495	23	,	,	PUNCT
fumecheng-7012	495	24	pp	pp	ADJ
fumecheng-7012	495	25	.	.	PUNCT
fumecheng-7012	496	1	51	51	NUM
fumecheng-7012	496	2	-	-	SYM
fumecheng-7012	496	3	78	78	NUM
fumecheng-7012	496	4	.	.	PUNCT
fumecheng-7012	497	1	19	19	NUM
fumecheng-7012	497	2	.	.	PUNCT
fumecheng-7012	497	3	mindlin	mindlin	PROPN
fumecheng-7012	497	4	,	,	PUNCT
fumecheng-7012	497	5	r.d	r.d	PROPN
fumecheng-7012	497	6	.	.	PROPN
fumecheng-7012	497	7	,	,	PUNCT
fumecheng-7012	497	8	1965	1965	NUM
fumecheng-7012	497	9	,	,	PUNCT
fumecheng-7012	497	10	on	on	ADP
fumecheng-7012	497	11	the	the	DET
fumecheng-7012	497	12	equations	equation	NOUN
fumecheng-7012	497	13	of	of	ADP
fumecheng-7012	497	14	elastic	elastic	ADJ
fumecheng-7012	497	15	materials	material	NOUN
fumecheng-7012	497	16	with	with	ADP
fumecheng-7012	497	17	micro	micro	NOUN
fumecheng-7012	497	18	-	-	NOUN
fumecheng-7012	497	19	structure	structure	NOUN
fumecheng-7012	497	20	,	,	PUNCT
fumecheng-7012	497	21	international	international	ADJ
fumecheng-7012	497	22	journal	journal	NOUN
fumecheng-7012	497	23	of	of	ADP
fumecheng-7012	497	24	solids	solid	NOUN
fumecheng-7012	497	25	and	and	CCONJ
fumecheng-7012	497	26	structures	structure	NOUN
fumecheng-7012	497	27	,	,	PUNCT
fumecheng-7012	497	28	1(1	1(1	NUM
fumecheng-7012	497	29	)	)	PUNCT
fumecheng-7012	497	30	,	,	PUNCT
fumecheng-7012	497	31	pp	pp	ADJ
fumecheng-7012	497	32	.	.	PUNCT
fumecheng-7012	498	1	73	73	NUM
fumecheng-7012	498	2	-	-	SYM
fumecheng-7012	498	3	78	78	NUM
fumecheng-7012	498	4	.	.	PUNCT
fumecheng-7012	499	1	20	20	NUM
fumecheng-7012	499	2	.	.	X
fumecheng-7012	500	1	lam	lam	PROPN
fumecheng-7012	500	2	,	,	PUNCT
fumecheng-7012	500	3	d.c.c	d.c.c	PROPN
fumecheng-7012	500	4	.	.	PROPN
fumecheng-7012	500	5	,	,	PUNCT
fumecheng-7012	500	6	yang	yang	PROPN
fumecheng-7012	500	7	,	,	PUNCT
fumecheng-7012	500	8	f.	f.	PROPN
fumecheng-7012	500	9	,	,	PUNCT
fumecheng-7012	500	10	chong	chong	PROPN
fumecheng-7012	500	11	,	,	PUNCT
fumecheng-7012	500	12	a.c.m	a.c.m	PROPN
fumecheng-7012	500	13	.	.	PROPN
fumecheng-7012	500	14	,	,	PUNCT
fumecheng-7012	500	15	wang	wang	PROPN
fumecheng-7012	500	16	,	,	PUNCT
fumecheng-7012	500	17	j.	j.	PROPN
fumecheng-7012	500	18	,	,	PUNCT
fumecheng-7012	500	19	tong	tong	PROPN
fumecheng-7012	500	20	,	,	PUNCT
fumecheng-7012	500	21	p.	p.	PROPN
fumecheng-7012	500	22	,	,	PUNCT
fumecheng-7012	500	23	2003	2003	NUM
fumecheng-7012	500	24	,	,	PUNCT
fumecheng-7012	500	25	experiments	experiment	NOUN
fumecheng-7012	500	26	and	and	CCONJ
fumecheng-7012	500	27	theory	theory	NOUN
fumecheng-7012	500	28	in	in	ADP
fumecheng-7012	500	29	strain	strain	NOUN
fumecheng-7012	500	30	gradient	gradient	ADJ
fumecheng-7012	500	31	elasticity	elasticity	NOUN
fumecheng-7012	500	32	,	,	PUNCT
fumecheng-7012	500	33	journal	journal	NOUN
fumecheng-7012	500	34	of	of	ADP
fumecheng-7012	500	35	the	the	DET
fumecheng-7012	500	36	mechanics	mechanic	NOUN
fumecheng-7012	500	37	and	and	CCONJ
fumecheng-7012	500	38	physics	physic	NOUN
fumecheng-7012	500	39	of	of	ADP
fumecheng-7012	500	40	solids	solid	NOUN
fumecheng-7012	500	41	,	,	PUNCT
fumecheng-7012	500	42	51(8	51(8	NUM
fumecheng-7012	500	43	)	)	PUNCT
fumecheng-7012	500	44	,	,	PUNCT
fumecheng-7012	500	45	pp	pp	ADP
fumecheng-7012	500	46	.	.	PUNCT
fumecheng-7012	500	47	1477	1477	NUM
fumecheng-7012	500	48	-	-	SYM
fumecheng-7012	500	49	1508	1508	NUM
fumecheng-7012	500	50	.	.	PUNCT
fumecheng-7012	501	1	21	21	NUM
fumecheng-7012	501	2	.	.	X
fumecheng-7012	501	3	thai	thai	PROPN
fumecheng-7012	501	4	,	,	PUNCT
fumecheng-7012	501	5	h.t	h.t	PROPN
fumecheng-7012	501	6	.	.	PROPN
fumecheng-7012	501	7	,	,	PUNCT
fumecheng-7012	501	8	vo	vo	PROPN
fumecheng-7012	501	9	,	,	PUNCT
fumecheng-7012	501	10	t.p	t.p	PROPN
fumecheng-7012	501	11	.	.	PROPN
fumecheng-7012	501	12	,	,	PUNCT
fumecheng-7012	501	13	nguyen	nguyen	PROPN
fumecheng-7012	501	14	,	,	PUNCT
fumecheng-7012	501	15	t.k	t.k	PROPN
fumecheng-7012	501	16	.	.	PROPN
fumecheng-7012	501	17	,	,	PUNCT
fumecheng-7012	501	18	kim	kim	PROPN
fumecheng-7012	501	19	,	,	PUNCT
fumecheng-7012	501	20	s.e	s.e	PROPN
fumecheng-7012	501	21	.	.	PROPN
fumecheng-7012	501	22	,	,	PUNCT
fumecheng-7012	501	23	2017	2017	NUM
fumecheng-7012	501	24	,	,	PUNCT
fumecheng-7012	501	25	a	a	DET
fumecheng-7012	501	26	review	review	NOUN
fumecheng-7012	501	27	of	of	ADP
fumecheng-7012	501	28	continuum	continuum	ADJ
fumecheng-7012	501	29	mechanics	mechanic	NOUN
fumecheng-7012	501	30	models	model	NOUN
fumecheng-7012	501	31	for	for	ADP
fumecheng-7012	501	32	sizedependent	sizedependent	NOUN
fumecheng-7012	501	33	analysis	analysis	NOUN
fumecheng-7012	501	34	of	of	ADP
fumecheng-7012	501	35	beams	beam	NOUN
fumecheng-7012	501	36	and	and	CCONJ
fumecheng-7012	501	37	plates	plate	NOUN
fumecheng-7012	501	38	,	,	PUNCT
fumecheng-7012	501	39	composite	composite	ADJ
fumecheng-7012	501	40	structures	structure	NOUN
fumecheng-7012	501	41	,	,	PUNCT
fumecheng-7012	501	42	177	177	NUM
fumecheng-7012	501	43	,	,	PUNCT
fumecheng-7012	501	44	pp	pp	ADJ
fumecheng-7012	501	45	.	.	PUNCT
fumecheng-7012	502	1	196	196	NUM
fumecheng-7012	502	2	-	-	SYM
fumecheng-7012	502	3	219	219	NUM
fumecheng-7012	502	4	.	.	PUNCT
fumecheng-7012	503	1	22	22	NUM
fumecheng-7012	503	2	.	.	PUNCT
fumecheng-7012	504	1	hu	hu	PROPN
fumecheng-7012	504	2	,	,	PUNCT
fumecheng-7012	504	3	k.m	k.m	PROPN
fumecheng-7012	504	4	.	.	PROPN
fumecheng-7012	504	5	,	,	PUNCT
fumecheng-7012	504	6	zhang	zhang	PROPN
fumecheng-7012	504	7	,	,	PUNCT
fumecheng-7012	504	8	w.m	w.m	PROPN
fumecheng-7012	504	9	.	.	PROPN
fumecheng-7012	504	10	,	,	PUNCT
fumecheng-7012	504	11	zhong	zhong	PROPN
fumecheng-7012	504	12	,	,	PUNCT
fumecheng-7012	504	13	z.y	z.y	PROPN
fumecheng-7012	504	14	.	.	PROPN
fumecheng-7012	504	15	,	,	PUNCT
fumecheng-7012	504	16	peng	peng	PROPN
fumecheng-7012	504	17	,	,	PUNCT
fumecheng-7012	504	18	z.k	z.k	PROPN
fumecheng-7012	504	19	.	.	PROPN
fumecheng-7012	504	20	,	,	PUNCT
fumecheng-7012	504	21	meng	meng	PROPN
fumecheng-7012	504	22	,	,	PUNCT
fumecheng-7012	504	23	g.	g.	PROPN
fumecheng-7012	504	24	,	,	PUNCT
fumecheng-7012	504	25	2014	2014	NUM
fumecheng-7012	504	26	,	,	PUNCT
fumecheng-7012	504	27	effect	effect	NOUN
fumecheng-7012	504	28	of	of	ADP
fumecheng-7012	504	29	surface	surface	NOUN
fumecheng-7012	504	30	layer	layer	NOUN
fumecheng-7012	504	31	thickness	thickness	NOUN
fumecheng-7012	504	32	on	on	ADP
fumecheng-7012	504	33	buckling	buckling	NOUN
fumecheng-7012	504	34	and	and	CCONJ
fumecheng-7012	504	35	vibration	vibration	NOUN
fumecheng-7012	504	36	of	of	ADP
fumecheng-7012	504	37	nonlocal	nonlocal	ADJ
fumecheng-7012	504	38	nanowires	nanowire	NOUN
fumecheng-7012	504	39	,	,	PUNCT
fumecheng-7012	504	40	physics	physics	NOUN
fumecheng-7012	504	41	letters	letter	NOUN
fumecheng-7012	504	42	a	a	DET
fumecheng-7012	504	43	,	,	PUNCT
fumecheng-7012	504	44	378(7	378(7	NUM
fumecheng-7012	504	45	-	-	SYM
fumecheng-7012	504	46	8)	8)	NUM
fumecheng-7012	504	47	,	,	PUNCT
fumecheng-7012	504	48	pp	pp	ADJ
fumecheng-7012	504	49	.	.	PUNCT
fumecheng-7012	505	1	650	650	NUM
fumecheng-7012	505	2	-	-	SYM
fumecheng-7012	505	3	654	654	NUM
fumecheng-7012	505	4	.	.	PUNCT
fumecheng-7012	506	1	23	23	NUM
fumecheng-7012	506	2	.	.	PUNCT
fumecheng-7012	507	1	khodabakhshi	khodabakhshi	PROPN
fumecheng-7012	507	2	,	,	PUNCT
fumecheng-7012	507	3	p.	p.	PROPN
fumecheng-7012	507	4	,	,	PUNCT
fumecheng-7012	507	5	reddy	reddy	PROPN
fumecheng-7012	507	6	,	,	PUNCT
fumecheng-7012	507	7	j.n	j.n	PROPN
fumecheng-7012	507	8	.	.	PROPN
fumecheng-7012	507	9	,	,	PUNCT
fumecheng-7012	507	10	2015	2015	NUM
fumecheng-7012	507	11	,	,	PUNCT
fumecheng-7012	507	12	a	a	DET
fumecheng-7012	507	13	unified	unify	VERB
fumecheng-7012	507	14	integro	integro	ADJ
fumecheng-7012	507	15	-	-	PUNCT
fumecheng-7012	507	16	differential	differential	ADJ
fumecheng-7012	507	17	nonlocal	nonlocal	ADJ
fumecheng-7012	507	18	model	model	NOUN
fumecheng-7012	507	19	,	,	PUNCT
fumecheng-7012	507	20	international	international	ADJ
fumecheng-7012	507	21	journal	journal	NOUN
fumecheng-7012	507	22	of	of	ADP
fumecheng-7012	507	23	engineering	engineering	NOUN
fumecheng-7012	507	24	science	science	NOUN
fumecheng-7012	507	25	,	,	PUNCT
fumecheng-7012	507	26	95	95	NUM
fumecheng-7012	507	27	,	,	PUNCT
fumecheng-7012	507	28	pp	pp	ADJ
fumecheng-7012	507	29	.	.	PUNCT
fumecheng-7012	508	1	60	60	NUM
fumecheng-7012	508	2	-	-	SYM
fumecheng-7012	508	3	75	75	NUM
fumecheng-7012	508	4	.	.	PUNCT
fumecheng-7012	509	1	24	24	NUM
fumecheng-7012	509	2	.	.	PUNCT
fumecheng-7012	509	3	limkatanyu	limkatanyu	PROPN
fumecheng-7012	509	4	,	,	PUNCT
fumecheng-7012	509	5	s.	s.	PROPN
fumecheng-7012	509	6	,	,	PUNCT
fumecheng-7012	509	7	sae	sae	PROPN
fumecheng-7012	509	8	-	-	PROPN
fumecheng-7012	509	9	long	long	ADV
fumecheng-7012	509	10	,	,	PUNCT
fumecheng-7012	509	11	w.	w.	PROPN
fumecheng-7012	509	12	,	,	PUNCT
fumecheng-7012	509	13	horpibulsuk	horpibulsuk	PROPN
fumecheng-7012	509	14	,	,	PUNCT
fumecheng-7012	509	15	s.	s.	PROPN
fumecheng-7012	509	16	,	,	PUNCT
fumecheng-7012	509	17	prachasaree	prachasaree	PROPN
fumecheng-7012	509	18	,	,	PUNCT
fumecheng-7012	509	19	w.	w.	PROPN
fumecheng-7012	509	20	,	,	PUNCT
fumecheng-7012	509	21	damrongwiriyanupap	damrongwiriyanupap	PROPN
fumecheng-7012	509	22	,	,	PUNCT
fumecheng-7012	509	23	n.	n.	NOUN
fumecheng-7012	509	24	,	,	PUNCT
fumecheng-7012	509	25	2018	2018	NUM
fumecheng-7012	509	26	,	,	PUNCT
fumecheng-7012	509	27	flexural	flexural	ADJ
fumecheng-7012	509	28	responses	response	NOUN
fumecheng-7012	509	29	of	of	ADP
fumecheng-7012	509	30	nanobeams	nanobeam	NOUN
fumecheng-7012	509	31	with	with	ADP
fumecheng-7012	509	32	coupled	couple	VERB
fumecheng-7012	509	33	effects	effect	NOUN
fumecheng-7012	509	34	of	of	ADP
fumecheng-7012	509	35	nonlocality	nonlocality	NOUN
fumecheng-7012	509	36	and	and	CCONJ
fumecheng-7012	509	37	surface	surface	NOUN
fumecheng-7012	509	38	energy	energy	NOUN
fumecheng-7012	509	39	,	,	PUNCT
fumecheng-7012	509	40	zamm	zamm	PROPN
fumecheng-7012	509	41	journal	journal	PROPN
fumecheng-7012	509	42	of	of	ADP
fumecheng-7012	509	43	applied	apply	VERB
fumecheng-7012	509	44	mathematics	mathematic	NOUN
fumecheng-7012	509	45	and	and	CCONJ
fumecheng-7012	509	46	mechanics	mechanic	NOUN
fumecheng-7012	509	47	:	:	PUNCT
fumecheng-7012	509	48	zeitschrift	zeitschrift	NOUN
fumecheng-7012	509	49	für	für	PROPN
fumecheng-7012	509	50	angewandte	angewandte	PROPN
fumecheng-7012	509	51	mathematik	mathematik	PROPN
fumecheng-7012	509	52	und	und	PROPN
fumecheng-7012	509	53	mechanik	mechanik	PROPN
fumecheng-7012	509	54	,	,	PUNCT
fumecheng-7012	509	55	98(10	98(10	NUM
fumecheng-7012	509	56	)	)	PUNCT
fumecheng-7012	509	57	,	,	PUNCT
fumecheng-7012	509	58	pp	pp	ADP
fumecheng-7012	509	59	.	.	PUNCT
fumecheng-7012	510	1	1771	1771	NUM
fumecheng-7012	510	2	-	-	SYM
fumecheng-7012	510	3	1793	1793	NUM
fumecheng-7012	510	4	.	.	PUNCT
fumecheng-7012	511	1	25	25	NUM
fumecheng-7012	511	2	.	.	X
fumecheng-7012	511	3	peddieson	peddieson	PROPN
fumecheng-7012	511	4	,	,	PUNCT
fumecheng-7012	511	5	j.	j.	PROPN
fumecheng-7012	511	6	,	,	PUNCT
fumecheng-7012	511	7	buchanan	buchanan	PROPN
fumecheng-7012	511	8	,	,	PUNCT
fumecheng-7012	511	9	g.r	g.r	PROPN
fumecheng-7012	511	10	.	.	PROPN
fumecheng-7012	511	11	,	,	PUNCT
fumecheng-7012	511	12	mcnitt	mcnitt	PROPN
fumecheng-7012	511	13	,	,	PUNCT
fumecheng-7012	511	14	r.p	r.p	PROPN
fumecheng-7012	511	15	.	.	PROPN
fumecheng-7012	511	16	,	,	PUNCT
fumecheng-7012	511	17	2003	2003	NUM
fumecheng-7012	511	18	,	,	PUNCT
fumecheng-7012	511	19	application	application	NOUN
fumecheng-7012	511	20	of	of	ADP
fumecheng-7012	511	21	nonlocal	nonlocal	ADJ
fumecheng-7012	511	22	continuum	continuum	ADJ
fumecheng-7012	511	23	models	model	NOUN
fumecheng-7012	511	24	to	to	ADP
fumecheng-7012	511	25	nanotechnology	nanotechnology	NOUN
fumecheng-7012	511	26	,	,	PUNCT
fumecheng-7012	511	27	international	international	ADJ
fumecheng-7012	511	28	journal	journal	NOUN
fumecheng-7012	511	29	of	of	ADP
fumecheng-7012	511	30	engineering	engineering	NOUN
fumecheng-7012	511	31	science	science	NOUN
fumecheng-7012	511	32	,	,	PUNCT
fumecheng-7012	511	33	41(3	41(3	NOUN
fumecheng-7012	511	34	-	-	PUNCT
fumecheng-7012	511	35	5	5	NUM
fumecheng-7012	511	36	)	)	PUNCT
fumecheng-7012	511	37	,	,	PUNCT
fumecheng-7012	511	38	pp	pp	ADJ
fumecheng-7012	511	39	.	.	PUNCT
fumecheng-7012	512	1	305	305	NUM
fumecheng-7012	512	2	-	-	SYM
fumecheng-7012	512	3	312	312	NUM
fumecheng-7012	512	4	.	.	NOUN
fumecheng-7012	512	5	26	26	NUM
fumecheng-7012	512	6	.	.	PUNCT
fumecheng-7012	513	1	challamel	challamel	VERB
fumecheng-7012	513	2	,	,	PUNCT
fumecheng-7012	513	3	n.	n.	PROPN
fumecheng-7012	513	4	,	,	PUNCT
fumecheng-7012	513	5	wang	wang	PROPN
fumecheng-7012	513	6	,	,	PUNCT
fumecheng-7012	513	7	c.m	c.m	PROPN
fumecheng-7012	513	8	.	.	PROPN
fumecheng-7012	513	9	,	,	PUNCT
fumecheng-7012	513	10	2008	2008	NUM
fumecheng-7012	513	11	,	,	PUNCT
fumecheng-7012	513	12	the	the	DET
fumecheng-7012	513	13	small	small	ADJ
fumecheng-7012	513	14	length	length	NOUN
fumecheng-7012	513	15	scale	scale	NOUN
fumecheng-7012	513	16	effect	effect	NOUN
fumecheng-7012	513	17	for	for	ADP
fumecheng-7012	513	18	a	a	DET
fumecheng-7012	513	19	non	non	ADJ
fumecheng-7012	513	20	-	-	ADJ
fumecheng-7012	513	21	local	local	ADJ
fumecheng-7012	513	22	cantilever	cantilever	NOUN
fumecheng-7012	513	23	beam	beam	NOUN
fumecheng-7012	513	24	:	:	PUNCT
fumecheng-7012	513	25	a	a	DET
fumecheng-7012	513	26	paradox	paradox	NOUN
fumecheng-7012	513	27	solved	solve	VERB
fumecheng-7012	513	28	,	,	PUNCT
fumecheng-7012	513	29	nanotechnology	nanotechnology	NOUN
fumecheng-7012	513	30	,	,	PUNCT
fumecheng-7012	513	31	19(34	19(34	NUM
fumecheng-7012	513	32	)	)	PUNCT
fumecheng-7012	513	33	,	,	PUNCT
fumecheng-7012	513	34	345703	345703	NUM
fumecheng-7012	513	35	.	.	PUNCT
fumecheng-7012	514	1	27	27	NUM
fumecheng-7012	514	2	.	.	X
fumecheng-7012	515	1	romano	romano	NOUN
fumecheng-7012	515	2	,	,	PUNCT
fumecheng-7012	515	3	g.	g.	PROPN
fumecheng-7012	515	4	,	,	PUNCT
fumecheng-7012	515	5	barretta	barretta	PROPN
fumecheng-7012	515	6	,	,	PUNCT
fumecheng-7012	515	7	r.	r.	PROPN
fumecheng-7012	515	8	,	,	PUNCT
fumecheng-7012	515	9	diaco	diaco	PROPN
fumecheng-7012	515	10	,	,	PUNCT
fumecheng-7012	515	11	m.	m.	NOUN
fumecheng-7012	515	12	,	,	PUNCT
fumecheng-7012	515	13	marotti	marotti	PROPN
fumecheng-7012	515	14	de	de	X
fumecheng-7012	515	15	sciarra	sciarra	PROPN
fumecheng-7012	515	16	,	,	PUNCT
fumecheng-7012	515	17	f.	f.	PROPN
fumecheng-7012	515	18	,	,	PUNCT
fumecheng-7012	515	19	2017	2017	NUM
fumecheng-7012	515	20	,	,	PUNCT
fumecheng-7012	515	21	constitutive	constitutive	ADJ
fumecheng-7012	515	22	boundary	boundary	ADJ
fumecheng-7012	515	23	conditions	condition	NOUN
fumecheng-7012	515	24	and	and	CCONJ
fumecheng-7012	515	25	paradoxes	paradox	NOUN
fumecheng-7012	515	26	in	in	ADP
fumecheng-7012	515	27	nonlocal	nonlocal	ADJ
fumecheng-7012	515	28	elastic	elastic	ADJ
fumecheng-7012	515	29	nanobeams	nanobeam	NOUN
fumecheng-7012	515	30	,	,	PUNCT
fumecheng-7012	515	31	international	international	ADJ
fumecheng-7012	515	32	journal	journal	NOUN
fumecheng-7012	515	33	of	of	ADP
fumecheng-7012	515	34	mechanical	mechanical	ADJ
fumecheng-7012	515	35	sciences	science	NOUN
fumecheng-7012	515	36	,	,	PUNCT
fumecheng-7012	515	37	121	121	NUM
fumecheng-7012	515	38	,	,	PUNCT
fumecheng-7012	515	39	pp	pp	ADJ
fumecheng-7012	515	40	.	.	PUNCT
fumecheng-7012	516	1	151	151	NUM
fumecheng-7012	516	2	-	-	SYM
fumecheng-7012	516	3	156	156	NUM
fumecheng-7012	516	4	.	.	PUNCT
fumecheng-7012	517	1	28	28	NUM
fumecheng-7012	517	2	.	.	PUNCT
fumecheng-7012	518	1	altan	altan	PROPN
fumecheng-7012	518	2	,	,	PUNCT
fumecheng-7012	518	3	b.s	b.s	PROPN
fumecheng-7012	518	4	.	.	PROPN
fumecheng-7012	518	5	,	,	PUNCT
fumecheng-7012	518	6	aifantis	aifantis	PROPN
fumecheng-7012	518	7	,	,	PUNCT
fumecheng-7012	518	8	e.c	e.c	PROPN
fumecheng-7012	518	9	.	.	PROPN
fumecheng-7012	518	10	,	,	PUNCT
fumecheng-7012	518	11	1997	1997	NUM
fumecheng-7012	518	12	,	,	PUNCT
fumecheng-7012	518	13	on	on	ADP
fumecheng-7012	518	14	some	some	DET
fumecheng-7012	518	15	aspects	aspect	NOUN
fumecheng-7012	518	16	in	in	ADP
fumecheng-7012	518	17	the	the	DET
fumecheng-7012	518	18	special	special	ADJ
fumecheng-7012	518	19	theory	theory	NOUN
fumecheng-7012	518	20	of	of	ADP
fumecheng-7012	518	21	gradient	gradient	ADJ
fumecheng-7012	518	22	elasticity	elasticity	NOUN
fumecheng-7012	518	23	,	,	PUNCT
fumecheng-7012	518	24	journal	journal	NOUN
fumecheng-7012	518	25	of	of	ADP
fumecheng-7012	518	26	the	the	DET
fumecheng-7012	518	27	mechanical	mechanical	ADJ
fumecheng-7012	518	28	behavior	behavior	NOUN
fumecheng-7012	518	29	of	of	ADP
fumecheng-7012	518	30	materials	material	NOUN
fumecheng-7012	518	31	,	,	PUNCT
fumecheng-7012	518	32	8(3	8(3	NUM
fumecheng-7012	518	33	)	)	PUNCT
fumecheng-7012	518	34	,	,	PUNCT
fumecheng-7012	518	35	pp	pp	ADJ
fumecheng-7012	518	36	.	.	PUNCT
fumecheng-7012	519	1	231	231	NUM
fumecheng-7012	519	2	-	-	SYM
fumecheng-7012	519	3	282	282	NUM
fumecheng-7012	519	4	.	.	PUNCT
fumecheng-7012	520	1	29	29	NUM
fumecheng-7012	520	2	.	.	PUNCT
fumecheng-7012	521	1	narendar	narendar	NOUN
fumecheng-7012	521	2	,	,	PUNCT
fumecheng-7012	521	3	s.	s.	PROPN
fumecheng-7012	521	4	,	,	PUNCT
fumecheng-7012	521	5	gopalakrishnan	gopalakrishnan	NOUN
fumecheng-7012	521	6	,	,	PUNCT
fumecheng-7012	521	7	s.	s.	PROPN
fumecheng-7012	521	8	,	,	PUNCT
fumecheng-7012	521	9	2010	2010	NUM
fumecheng-7012	521	10	,	,	PUNCT
fumecheng-7012	521	11	ultrasonic	ultrasonic	ADJ
fumecheng-7012	521	12	wave	wave	NOUN
fumecheng-7012	521	13	characteristics	characteristic	NOUN
fumecheng-7012	521	14	of	of	ADP
fumecheng-7012	521	15	nanorod	nanorod	NOUN
fumecheng-7012	521	16	via	via	ADP
fumecheng-7012	521	17	nonlocal	nonlocal	ADJ
fumecheng-7012	521	18	strain	strain	NOUN
fumecheng-7012	521	19	gradient	gradient	NOUN
fumecheng-7012	521	20	models	model	NOUN
fumecheng-7012	521	21	,	,	PUNCT
fumecheng-7012	521	22	journal	journal	NOUN
fumecheng-7012	521	23	of	of	ADP
fumecheng-7012	521	24	applied	applied	ADJ
fumecheng-7012	521	25	physics	physic	NOUN
fumecheng-7012	521	26	,	,	PUNCT
fumecheng-7012	521	27	107(8	107(8	NUM
fumecheng-7012	521	28	)	)	PUNCT
fumecheng-7012	521	29	,	,	PUNCT
fumecheng-7012	521	30	084312	084312	NUM
fumecheng-7012	521	31	.	.	PUNCT
fumecheng-7012	522	1	30	30	NUM
fumecheng-7012	522	2	.	.	PUNCT
fumecheng-7012	523	1	askes	ask	VERB
fumecheng-7012	523	2	,	,	PUNCT
fumecheng-7012	523	3	h.	h.	PROPN
fumecheng-7012	523	4	,	,	PUNCT
fumecheng-7012	523	5	suiker	suiker	PROPN
fumecheng-7012	523	6	,	,	PUNCT
fumecheng-7012	523	7	a.s.j	a.s.j	PROPN
fumecheng-7012	523	8	.	.	PROPN
fumecheng-7012	523	9	,	,	PUNCT
fumecheng-7012	523	10	sluys	sluys	PROPN
fumecheng-7012	523	11	,	,	PUNCT
fumecheng-7012	523	12	l.j	l.j	PROPN
fumecheng-7012	523	13	.	.	PROPN
fumecheng-7012	523	14	,	,	PUNCT
fumecheng-7012	523	15	2002	2002	NUM
fumecheng-7012	523	16	,	,	PUNCT
fumecheng-7012	523	17	a	a	DET
fumecheng-7012	523	18	classification	classification	NOUN
fumecheng-7012	523	19	of	of	ADP
fumecheng-7012	523	20	higher	high	ADJ
fumecheng-7012	523	21	-	-	PUNCT
fumecheng-7012	523	22	order	order	NOUN
fumecheng-7012	523	23	strain	strain	NOUN
fumecheng-7012	523	24	-	-	PUNCT
fumecheng-7012	523	25	gradient	gradient	NOUN
fumecheng-7012	523	26	models	model	NOUN
fumecheng-7012	523	27	–	–	PUNCT
fumecheng-7012	523	28	linear	linear	VERB
fumecheng-7012	523	29	analysis	analysis	NOUN
fumecheng-7012	523	30	,	,	PUNCT
fumecheng-7012	523	31	archive	archive	NOUN
fumecheng-7012	523	32	of	of	ADP
fumecheng-7012	523	33	applied	apply	VERB
fumecheng-7012	523	34	mechanics	mechanic	NOUN
fumecheng-7012	523	35	,	,	PUNCT
fumecheng-7012	523	36	72	72	NUM
fumecheng-7012	523	37	,	,	PUNCT
fumecheng-7012	523	38	pp	pp	ADJ
fumecheng-7012	523	39	.	.	PUNCT
fumecheng-7012	524	1	171	171	NUM
fumecheng-7012	524	2	-	-	SYM
fumecheng-7012	524	3	188	188	NUM
fumecheng-7012	524	4	.	.	PUNCT
fumecheng-7012	525	1	31	31	NUM
fumecheng-7012	525	2	.	.	PUNCT
fumecheng-7012	526	1	zaera	zaera	PROPN
fumecheng-7012	526	2	,	,	PUNCT
fumecheng-7012	526	3	r.	r.	PROPN
fumecheng-7012	526	4	,	,	PUNCT
fumecheng-7012	526	5	serrano	serrano	PROPN
fumecheng-7012	526	6	,	,	PUNCT
fumecheng-7012	526	7	ó	ó	PROPN
fumecheng-7012	526	8	.	.	PROPN
fumecheng-7012	526	9	,	,	PUNCT
fumecheng-7012	526	10	fernández	fernández	PROPN
fumecheng-7012	526	11	-	-	PUNCT
fumecheng-7012	526	12	sáez	sáez	PROPN
fumecheng-7012	526	13	,	,	PUNCT
fumecheng-7012	526	14	j.	j.	PROPN
fumecheng-7012	526	15	,	,	PUNCT
fumecheng-7012	526	16	2019	2019	NUM
fumecheng-7012	526	17	,	,	PUNCT
fumecheng-7012	526	18	on	on	ADP
fumecheng-7012	526	19	the	the	DET
fumecheng-7012	526	20	consistency	consistency	NOUN
fumecheng-7012	526	21	of	of	ADP
fumecheng-7012	526	22	the	the	DET
fumecheng-7012	526	23	nonlocal	nonlocal	ADJ
fumecheng-7012	526	24	strain	strain	NOUN
fumecheng-7012	526	25	gradient	gradient	ADJ
fumecheng-7012	526	26	elasticity	elasticity	NOUN
fumecheng-7012	526	27	,	,	PUNCT
fumecheng-7012	526	28	international	international	ADJ
fumecheng-7012	526	29	journal	journal	NOUN
fumecheng-7012	526	30	of	of	ADP
fumecheng-7012	526	31	engineering	engineering	NOUN
fumecheng-7012	526	32	science	science	NOUN
fumecheng-7012	526	33	,	,	PUNCT
fumecheng-7012	526	34	138	138	NUM
fumecheng-7012	526	35	,	,	PUNCT
fumecheng-7012	526	36	pp	pp	ADJ
fumecheng-7012	526	37	.	.	PUNCT
fumecheng-7012	527	1	65	65	NUM
fumecheng-7012	527	2	-	-	SYM
fumecheng-7012	527	3	81	81	NUM
fumecheng-7012	527	4	.	.	PUNCT
fumecheng-7012	528	1	32	32	NUM
fumecheng-7012	528	2	.	.	PUNCT
fumecheng-7012	529	1	kong	kong	PROPN
fumecheng-7012	529	2	,	,	PUNCT
fumecheng-7012	529	3	s.	s.	PROPN
fumecheng-7012	529	4	,	,	PUNCT
fumecheng-7012	529	5	zhou	zhou	PROPN
fumecheng-7012	529	6	,	,	PUNCT
fumecheng-7012	529	7	s.	s.	PROPN
fumecheng-7012	529	8	,	,	PUNCT
fumecheng-7012	529	9	nie	nie	PROPN
fumecheng-7012	529	10	,	,	PUNCT
fumecheng-7012	529	11	z.	z.	PROPN
fumecheng-7012	529	12	,	,	PUNCT
fumecheng-7012	529	13	wang	wang	PROPN
fumecheng-7012	529	14	,	,	PUNCT
fumecheng-7012	529	15	k.	k.	PROPN
fumecheng-7012	529	16	,	,	PUNCT
fumecheng-7012	529	17	2009	2009	NUM
fumecheng-7012	529	18	,	,	PUNCT
fumecheng-7012	529	19	static	static	ADJ
fumecheng-7012	529	20	and	and	CCONJ
fumecheng-7012	529	21	dynamic	dynamic	ADJ
fumecheng-7012	529	22	analysis	analysis	NOUN
fumecheng-7012	529	23	of	of	ADP
fumecheng-7012	529	24	micro	micro	ADJ
fumecheng-7012	529	25	beams	beam	NOUN
fumecheng-7012	529	26	based	base	VERB
fumecheng-7012	529	27	on	on	ADP
fumecheng-7012	529	28	strain	strain	NOUN
fumecheng-7012	529	29	gradient	gradient	ADJ
fumecheng-7012	529	30	elasticity	elasticity	NOUN
fumecheng-7012	529	31	theory	theory	NOUN
fumecheng-7012	529	32	,	,	PUNCT
fumecheng-7012	529	33	international	international	ADJ
fumecheng-7012	529	34	journal	journal	NOUN
fumecheng-7012	529	35	of	of	ADP
fumecheng-7012	529	36	engineering	engineering	NOUN
fumecheng-7012	529	37	science	science	NOUN
fumecheng-7012	529	38	,	,	PUNCT
fumecheng-7012	529	39	47(4	47(4	PROPN
fumecheng-7012	529	40	)	)	PUNCT
fumecheng-7012	529	41	,	,	PUNCT
fumecheng-7012	529	42	pp	pp	ADP
fumecheng-7012	529	43	.	.	PUNCT
fumecheng-7012	530	1	487	487	NUM
fumecheng-7012	530	2	-	-	SYM
fumecheng-7012	530	3	498	498	NUM
fumecheng-7012	530	4	.	.	PUNCT
fumecheng-7012	531	1	33	33	NUM
fumecheng-7012	531	2	.	.	PUNCT
fumecheng-7012	532	1	barretta	barretta	PROPN
fumecheng-7012	532	2	,	,	PUNCT
fumecheng-7012	532	3	r.	r.	PROPN
fumecheng-7012	532	4	,	,	PUNCT
fumecheng-7012	532	5	marotti	marotti	PROPN
fumecheng-7012	532	6	de	de	X
fumecheng-7012	532	7	sciarra	sciarra	PROPN
fumecheng-7012	532	8	,	,	PUNCT
fumecheng-7012	532	9	f.	f.	PROPN
fumecheng-7012	532	10	,	,	PUNCT
fumecheng-7012	532	11	2013	2013	NUM
fumecheng-7012	532	12	,	,	PUNCT
fumecheng-7012	532	13	a	a	DET
fumecheng-7012	532	14	nonlocal	nonlocal	ADJ
fumecheng-7012	532	15	model	model	NOUN
fumecheng-7012	532	16	for	for	ADP
fumecheng-7012	532	17	carbon	carbon	NOUN
fumecheng-7012	532	18	nanotubes	nanotube	NOUN
fumecheng-7012	532	19	under	under	ADP
fumecheng-7012	532	20	axial	axial	ADJ
fumecheng-7012	532	21	loads	load	NOUN
fumecheng-7012	532	22	,	,	PUNCT
fumecheng-7012	532	23	advances	advance	NOUN
fumecheng-7012	532	24	in	in	ADP
fumecheng-7012	532	25	materials	material	NOUN
fumecheng-7012	532	26	science	science	NOUN
fumecheng-7012	532	27	and	and	CCONJ
fumecheng-7012	532	28	engineering	engineering	NOUN
fumecheng-7012	532	29	,	,	PUNCT
fumecheng-7012	532	30	360935	360935	NUM
fumecheng-7012	532	31	.	.	PUNCT
fumecheng-7012	533	1	34	34	NUM
fumecheng-7012	533	2	.	.	PUNCT
fumecheng-7012	533	3	marotti	marotti	PROPN
fumecheng-7012	533	4	de	de	X
fumecheng-7012	533	5	sciarra	sciarra	PROPN
fumecheng-7012	533	6	,	,	PUNCT
fumecheng-7012	533	7	f.	f.	PROPN
fumecheng-7012	533	8	,	,	PUNCT
fumecheng-7012	533	9	barretta	barretta	PROPN
fumecheng-7012	533	10	,	,	PUNCT
fumecheng-7012	533	11	r.	r.	PROPN
fumecheng-7012	533	12	,	,	PUNCT
fumecheng-7012	533	13	2014	2014	NUM
fumecheng-7012	533	14	,	,	PUNCT
fumecheng-7012	533	15	a	a	DET
fumecheng-7012	533	16	new	new	ADJ
fumecheng-7012	533	17	nonlocal	nonlocal	ADJ
fumecheng-7012	533	18	bending	bending	NOUN
fumecheng-7012	533	19	model	model	NOUN
fumecheng-7012	533	20	for	for	ADP
fumecheng-7012	533	21	euler	euler	NOUN
fumecheng-7012	533	22	–	–	PUNCT
fumecheng-7012	533	23	bernoulli	bernoulli	NOUN
fumecheng-7012	533	24	nanobeams	nanobeam	NOUN
fumecheng-7012	533	25	,	,	PUNCT
fumecheng-7012	533	26	mechanics	mechanic	NOUN
fumecheng-7012	533	27	research	research	NOUN
fumecheng-7012	533	28	communications	communication	NOUN
fumecheng-7012	533	29	,	,	PUNCT
fumecheng-7012	533	30	62	62	NUM
fumecheng-7012	533	31	,	,	PUNCT
fumecheng-7012	533	32	pp	pp	ADJ
fumecheng-7012	533	33	.	.	PUNCT
fumecheng-7012	534	1	25	25	NUM
fumecheng-7012	534	2	-	-	SYM
fumecheng-7012	534	3	30	30	NUM
fumecheng-7012	534	4	.	.	PUNCT
fumecheng-7012	535	1	35	35	NUM
fumecheng-7012	535	2	.	.	PUNCT
fumecheng-7012	536	1	marotti	marotti	PROPN
fumecheng-7012	536	2	de	de	X
fumecheng-7012	536	3	sciarra	sciarra	PROPN
fumecheng-7012	536	4	,	,	PUNCT
fumecheng-7012	536	5	f.	f.	PROPN
fumecheng-7012	536	6	,	,	PUNCT
fumecheng-7012	536	7	2014	2014	NUM
fumecheng-7012	536	8	,	,	PUNCT
fumecheng-7012	536	9	finite	finite	NOUN
fumecheng-7012	536	10	element	element	NOUN
fumecheng-7012	536	11	modelling	modelling	NOUN
fumecheng-7012	536	12	of	of	ADP
fumecheng-7012	536	13	nonlocal	nonlocal	ADJ
fumecheng-7012	536	14	beams	beam	NOUN
fumecheng-7012	536	15	,	,	PUNCT
fumecheng-7012	536	16	physica	physica	NOUN
fumecheng-7012	536	17	e	e	NOUN
fumecheng-7012	536	18	:	:	PUNCT
fumecheng-7012	536	19	low	low	ADJ
fumecheng-7012	536	20	-	-	PUNCT
fumecheng-7012	536	21	dimensional	dimensional	ADJ
fumecheng-7012	536	22	systems	system	NOUN
fumecheng-7012	536	23	and	and	CCONJ
fumecheng-7012	536	24	nanostructures	nanostructure	NOUN
fumecheng-7012	536	25	,	,	PUNCT
fumecheng-7012	536	26	59	59	NUM
fumecheng-7012	536	27	,	,	PUNCT
fumecheng-7012	536	28	pp	pp	ADJ
fumecheng-7012	536	29	.	.	PUNCT
fumecheng-7012	537	1	144	144	NUM
fumecheng-7012	537	2	-	-	SYM
fumecheng-7012	537	3	149	149	NUM
fumecheng-7012	537	4	.	.	PUNCT
fumecheng-7012	538	1	36	36	NUM
fumecheng-7012	538	2	.	.	PUNCT
fumecheng-7012	539	1	marotti	marotti	PROPN
fumecheng-7012	539	2	de	de	X
fumecheng-7012	539	3	sciarra	sciarra	PROPN
fumecheng-7012	539	4	,	,	PUNCT
fumecheng-7012	539	5	f.	f.	PROPN
fumecheng-7012	539	6	,	,	PUNCT
fumecheng-7012	539	7	barretta	barretta	PROPN
fumecheng-7012	539	8	,	,	PUNCT
fumecheng-7012	539	9	r.	r.	PROPN
fumecheng-7012	539	10	,	,	PUNCT
fumecheng-7012	539	11	2014	2014	NUM
fumecheng-7012	539	12	,	,	PUNCT
fumecheng-7012	539	13	a	a	DET
fumecheng-7012	539	14	gradient	gradient	NOUN
fumecheng-7012	539	15	model	model	NOUN
fumecheng-7012	539	16	for	for	ADP
fumecheng-7012	539	17	timoshenko	timoshenko	NOUN
fumecheng-7012	539	18	nanobeams	nanobeam	NOUN
fumecheng-7012	539	19	,	,	PUNCT
fumecheng-7012	539	20	physica	physica	NOUN
fumecheng-7012	539	21	e	e	NOUN
fumecheng-7012	539	22	:	:	PUNCT
fumecheng-7012	539	23	lowdimensional	lowdimensional	ADJ
fumecheng-7012	539	24	systems	system	NOUN
fumecheng-7012	539	25	and	and	CCONJ
fumecheng-7012	539	26	nanostructures	nanostructure	NOUN
fumecheng-7012	539	27	,	,	PUNCT
fumecheng-7012	539	28	62	62	NUM
fumecheng-7012	539	29	,	,	PUNCT
fumecheng-7012	539	30	pp	pp	ADJ
fumecheng-7012	539	31	.	.	PUNCT
fumecheng-7012	540	1	1	1	NUM
fumecheng-7012	540	2	-	-	SYM
fumecheng-7012	540	3	9	9	NUM
fumecheng-7012	540	4	.	.	NOUN
fumecheng-7012	541	1	37	37	NUM
fumecheng-7012	541	2	.	.	PUNCT
fumecheng-7012	542	1	sae	sae	PROPN
fumecheng-7012	542	2	-	-	PROPN
fumecheng-7012	542	3	long	long	ADV
fumecheng-7012	542	4	,	,	PUNCT
fumecheng-7012	542	5	w.	w.	PROPN
fumecheng-7012	542	6	,	,	PUNCT
fumecheng-7012	542	7	limkatanyu	limkatanyu	PROPN
fumecheng-7012	542	8	,	,	PUNCT
fumecheng-7012	542	9	s.	s.	PROPN
fumecheng-7012	542	10	,	,	PUNCT
fumecheng-7012	542	11	prachasaree	prachasaree	PROPN
fumecheng-7012	542	12	,	,	PUNCT
fumecheng-7012	542	13	w.	w.	PROPN
fumecheng-7012	542	14	,	,	PUNCT
fumecheng-7012	542	15	rungamornrat	rungamornrat	PROPN
fumecheng-7012	542	16	,	,	PUNCT
fumecheng-7012	542	17	j.	j.	PROPN
fumecheng-7012	542	18	,	,	PUNCT
fumecheng-7012	542	19	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	542	20	,	,	PUNCT
fumecheng-7012	542	21	p.	p.	NOUN
fumecheng-7012	542	22	,	,	PUNCT
fumecheng-7012	542	23	2020	2020	NUM
fumecheng-7012	542	24	,	,	PUNCT
fumecheng-7012	542	25	a	a	DET
fumecheng-7012	542	26	thermodynamics	thermodynamic	NOUN
fumecheng-7012	542	27	-	-	PUNCT
fumecheng-7012	542	28	based	base	VERB
fumecheng-7012	542	29	nonlocal	nonlocal	ADJ
fumecheng-7012	542	30	bar	bar	NOUN
fumecheng-7012	542	31	-	-	PUNCT
fumecheng-7012	542	32	elastic	elastic	ADJ
fumecheng-7012	542	33	substrate	substrate	NOUN
fumecheng-7012	542	34	model	model	NOUN
fumecheng-7012	542	35	with	with	ADP
fumecheng-7012	542	36	inclusion	inclusion	NOUN
fumecheng-7012	542	37	of	of	ADP
fumecheng-7012	542	38	surface	surface	NOUN
fumecheng-7012	542	39	-	-	PUNCT
fumecheng-7012	542	40	energy	energy	NOUN
fumecheng-7012	542	41	effect	effect	NOUN
fumecheng-7012	542	42	,	,	PUNCT
fumecheng-7012	542	43	journal	journal	NOUN
fumecheng-7012	542	44	of	of	ADP
fumecheng-7012	542	45	nanomaterials	nanomaterial	NOUN
fumecheng-7012	542	46	,	,	PUNCT
fumecheng-7012	542	47	8276745	8276745	NUM
fumecheng-7012	542	48	.	.	PUNCT
fumecheng-7012	543	1	38	38	NUM
fumecheng-7012	543	2	.	.	PUNCT
fumecheng-7012	544	1	miller	miller	PROPN
fumecheng-7012	544	2	,	,	PUNCT
fumecheng-7012	544	3	r.e	r.e	PROPN
fumecheng-7012	544	4	.	.	PROPN
fumecheng-7012	544	5	,	,	PUNCT
fumecheng-7012	544	6	shenoy	shenoy	PROPN
fumecheng-7012	544	7	,	,	PUNCT
fumecheng-7012	544	8	v.b	v.b	PROPN
fumecheng-7012	544	9	.	.	PROPN
fumecheng-7012	544	10	,	,	PUNCT
fumecheng-7012	544	11	2000	2000	NUM
fumecheng-7012	544	12	,	,	PUNCT
fumecheng-7012	544	13	size	size	NOUN
fumecheng-7012	544	14	-	-	PUNCT
fumecheng-7012	544	15	dependent	dependent	ADJ
fumecheng-7012	544	16	elastic	elastic	ADJ
fumecheng-7012	544	17	properties	property	NOUN
fumecheng-7012	544	18	of	of	ADP
fumecheng-7012	544	19	nanosized	nanosized	ADJ
fumecheng-7012	544	20	structural	structural	ADJ
fumecheng-7012	544	21	elements	element	NOUN
fumecheng-7012	544	22	,	,	PUNCT
fumecheng-7012	544	23	nanotechnology	nanotechnology	NOUN
fumecheng-7012	544	24	,	,	PUNCT
fumecheng-7012	544	25	11(3	11(3	NUM
fumecheng-7012	544	26	)	)	PUNCT
fumecheng-7012	544	27	,	,	PUNCT
fumecheng-7012	545	1	pp	pp	ADP
fumecheng-7012	545	2	.	.	PUNCT
fumecheng-7012	546	1	139	139	NUM
fumecheng-7012	546	2	-	-	SYM
fumecheng-7012	546	3	147	147	NUM
fumecheng-7012	546	4	.	.	PUNCT
fumecheng-7012	547	1	39	39	NUM
fumecheng-7012	547	2	.	.	PUNCT
fumecheng-7012	548	1	huang	huang	PROPN
fumecheng-7012	548	2	,	,	PUNCT
fumecheng-7012	548	3	d.w	d.w	PROPN
fumecheng-7012	548	4	.	.	PROPN
fumecheng-7012	548	5	,	,	PUNCT
fumecheng-7012	548	6	2008	2008	NUM
fumecheng-7012	548	7	,	,	PUNCT
fumecheng-7012	548	8	size	size	NOUN
fumecheng-7012	548	9	-	-	PUNCT
fumecheng-7012	548	10	dependent	dependent	ADJ
fumecheng-7012	548	11	response	response	NOUN
fumecheng-7012	548	12	of	of	ADP
fumecheng-7012	548	13	ultra	ultra	ADJ
fumecheng-7012	548	14	-	-	ADJ
fumecheng-7012	548	15	thin	thin	ADJ
fumecheng-7012	548	16	films	film	NOUN
fumecheng-7012	548	17	with	with	ADP
fumecheng-7012	548	18	surface	surface	NOUN
fumecheng-7012	548	19	effects	effect	NOUN
fumecheng-7012	548	20	,	,	PUNCT
fumecheng-7012	548	21	international	international	ADJ
fumecheng-7012	548	22	journal	journal	NOUN
fumecheng-7012	548	23	of	of	ADP
fumecheng-7012	548	24	solids	solid	NOUN
fumecheng-7012	548	25	and	and	CCONJ
fumecheng-7012	548	26	structures	structure	NOUN
fumecheng-7012	548	27	,	,	PUNCT
fumecheng-7012	548	28	45(2	45(2	NOUN
fumecheng-7012	548	29	)	)	PUNCT
fumecheng-7012	548	30	,	,	PUNCT
fumecheng-7012	548	31	pp	pp	ADP
fumecheng-7012	548	32	.	.	PUNCT
fumecheng-7012	549	1	568	568	NUM
fumecheng-7012	549	2	-	-	SYM
fumecheng-7012	549	3	579	579	NUM
fumecheng-7012	549	4	.	.	PUNCT
fumecheng-7012	550	1	680	680	NUM
fumecheng-7012	550	2	w.	w.	PROPN
fumecheng-7012	550	3	sae	sae	PROPN
fumecheng-7012	550	4	-	-	PROPN
fumecheng-7012	550	5	long	long	ADV
fumecheng-7012	550	6	,	,	PUNCT
fumecheng-7012	550	7	s.	s.	PROPN
fumecheng-7012	550	8	limkatanyu	limkatanyu	PROPN
fumecheng-7012	550	9	,	,	PUNCT
fumecheng-7012	550	10	p.	p.	NOUN
fumecheng-7012	550	11	sukontasukkul	sukontasukkul	NOUN
fumecheng-7012	550	12	,	,	PUNCT
fumecheng-7012	550	13	et	et	PROPN
fumecheng-7012	550	14	al	al	PROPN
fumecheng-7012	550	15	.	.	PROPN
fumecheng-7012	550	16	40	40	NUM
fumecheng-7012	550	17	.	.	PUNCT
fumecheng-7012	551	1	wang	wang	PROPN
fumecheng-7012	551	2	,	,	PUNCT
fumecheng-7012	551	3	j.	j.	PROPN
fumecheng-7012	551	4	,	,	PUNCT
fumecheng-7012	551	5	huang	huang	PROPN
fumecheng-7012	551	6	,	,	PUNCT
fumecheng-7012	551	7	z.	z.	PROPN
fumecheng-7012	551	8	,	,	PUNCT
fumecheng-7012	551	9	duan	duan	PROPN
fumecheng-7012	551	10	,	,	PUNCT
fumecheng-7012	551	11	h.	h.	PROPN
fumecheng-7012	551	12	,	,	PUNCT
fumecheng-7012	551	13	yu	yu	PROPN
fumecheng-7012	551	14	,	,	PUNCT
fumecheng-7012	551	15	s.	s.	PROPN
fumecheng-7012	551	16	,	,	PUNCT
fumecheng-7012	551	17	feng	feng	PROPN
fumecheng-7012	551	18	,	,	PUNCT
fumecheng-7012	551	19	x.	x.	PROPN
fumecheng-7012	551	20	,	,	PUNCT
fumecheng-7012	551	21	wang	wang	PROPN
fumecheng-7012	551	22	,	,	PUNCT
fumecheng-7012	551	23	g.	g.	PROPN
fumecheng-7012	551	24	,	,	PUNCT
fumecheng-7012	551	25	zhang	zhang	PROPN
fumecheng-7012	551	26	,	,	PUNCT
fumecheng-7012	551	27	w.	w.	PROPN
fumecheng-7012	551	28	,	,	PUNCT
fumecheng-7012	551	29	wang	wang	PROPN
fumecheng-7012	551	30	,	,	PUNCT
fumecheng-7012	551	31	t.	t.	PROPN
fumecheng-7012	551	32	,	,	PUNCT
fumecheng-7012	551	33	2011	2011	NUM
fumecheng-7012	551	34	,	,	PUNCT
fumecheng-7012	551	35	surface	surface	NOUN
fumecheng-7012	551	36	stress	stress	ADJ
fumecheng-7012	551	37	effect	effect	NOUN
fumecheng-7012	551	38	in	in	ADP
fumecheng-7012	551	39	mechanics	mechanic	NOUN
fumecheng-7012	551	40	of	of	ADP
fumecheng-7012	551	41	nanostructured	nanostructure	VERB
fumecheng-7012	551	42	materials	material	NOUN
fumecheng-7012	551	43	,	,	PUNCT
fumecheng-7012	551	44	acta	acta	PROPN
fumecheng-7012	551	45	mechanica	mechanica	PROPN
fumecheng-7012	551	46	solida	solida	PROPN
fumecheng-7012	551	47	sinica	sinica	PROPN
fumecheng-7012	551	48	,	,	PUNCT
fumecheng-7012	551	49	24(1	24(1	NUM
fumecheng-7012	551	50	)	)	PUNCT
fumecheng-7012	551	51	,	,	PUNCT
fumecheng-7012	551	52	pp	pp	ADP
fumecheng-7012	551	53	.	.	PUNCT
fumecheng-7012	552	1	52	52	NUM
fumecheng-7012	552	2	-	-	SYM
fumecheng-7012	552	3	82	82	NUM
fumecheng-7012	552	4	.	.	NOUN
fumecheng-7012	553	1	41	41	NUM
fumecheng-7012	553	2	.	.	PUNCT
fumecheng-7012	554	1	liu	liu	PROPN
fumecheng-7012	554	2	,	,	PUNCT
fumecheng-7012	554	3	h.	h.	PROPN
fumecheng-7012	554	4	,	,	PUNCT
fumecheng-7012	554	5	song	song	NOUN
fumecheng-7012	554	6	,	,	PUNCT
fumecheng-7012	554	7	h.	h.	PROPN
fumecheng-7012	554	8	,	,	PUNCT
fumecheng-7012	554	9	feng	feng	PROPN
fumecheng-7012	554	10	,	,	PUNCT
fumecheng-7012	554	11	x.	x.	PROPN
fumecheng-7012	554	12	,	,	PUNCT
fumecheng-7012	554	13	yang	yang	PROPN
fumecheng-7012	554	14	,	,	PUNCT
fumecheng-7012	554	15	j.	j.	PROPN
fumecheng-7012	554	16	,	,	PUNCT
fumecheng-7012	554	17	2014	2014	NUM
fumecheng-7012	554	18	,	,	PUNCT
fumecheng-7012	554	19	surface	surface	NOUN
fumecheng-7012	554	20	effects	effect	NOUN
fumecheng-7012	554	21	on	on	ADP
fumecheng-7012	554	22	the	the	DET
fumecheng-7012	554	23	persistence	persistence	NOUN
fumecheng-7012	554	24	length	length	NOUN
fumecheng-7012	554	25	of	of	ADP
fumecheng-7012	554	26	nanowires	nanowire	NOUN
fumecheng-7012	554	27	and	and	CCONJ
fumecheng-7012	554	28	nanotubes	nanotube	NOUN
fumecheng-7012	554	29	,	,	PUNCT
fumecheng-7012	554	30	theoretical	theoretical	ADJ
fumecheng-7012	554	31	and	and	CCONJ
fumecheng-7012	554	32	applied	apply	VERB
fumecheng-7012	554	33	mechanics	mechanic	NOUN
fumecheng-7012	554	34	letters	letter	NOUN
fumecheng-7012	554	35	,	,	PUNCT
fumecheng-7012	554	36	4(5	4(5	PROPN
fumecheng-7012	554	37	)	)	PUNCT
fumecheng-7012	554	38	,	,	PUNCT
fumecheng-7012	554	39	051009	051009	NUM
fumecheng-7012	554	40	.	.	PUNCT
fumecheng-7012	555	1	42	42	NUM
fumecheng-7012	555	2	.	.	PUNCT
fumecheng-7012	556	1	gurtin	gurtin	PROPN
fumecheng-7012	556	2	,	,	PUNCT
fumecheng-7012	556	3	m.e	m.e	PROPN
fumecheng-7012	556	4	.	.	PROPN
fumecheng-7012	556	5	,	,	PUNCT
fumecheng-7012	556	6	murdoch	murdoch	PROPN
fumecheng-7012	556	7	,	,	PUNCT
fumecheng-7012	556	8	i.	i.	PROPN
fumecheng-7012	556	9	,	,	PUNCT
fumecheng-7012	556	10	1975	1975	NUM
fumecheng-7012	556	11	,	,	PUNCT
fumecheng-7012	556	12	a	a	DET
fumecheng-7012	556	13	continuum	continuum	ADJ
fumecheng-7012	556	14	theory	theory	NOUN
fumecheng-7012	556	15	of	of	ADP
fumecheng-7012	556	16	elastic	elastic	ADJ
fumecheng-7012	556	17	material	material	NOUN
fumecheng-7012	556	18	surface	surface	NOUN
fumecheng-7012	556	19	,	,	PUNCT
fumecheng-7012	556	20	archive	archive	NOUN
fumecheng-7012	556	21	for	for	ADP
fumecheng-7012	556	22	rational	rational	ADJ
fumecheng-7012	556	23	mechanics	mechanic	NOUN
fumecheng-7012	556	24	and	and	CCONJ
fumecheng-7012	556	25	analysis	analysis	NOUN
fumecheng-7012	556	26	,	,	PUNCT
fumecheng-7012	556	27	57(4	57(4	NUM
fumecheng-7012	556	28	)	)	PUNCT
fumecheng-7012	556	29	,	,	PUNCT
fumecheng-7012	556	30	pp	pp	PROPN
fumecheng-7012	556	31	.	.	PUNCT
fumecheng-7012	557	1	291	291	NUM
fumecheng-7012	557	2	-	-	SYM
fumecheng-7012	557	3	323	323	NUM
fumecheng-7012	557	4	.	.	PUNCT
fumecheng-7012	558	1	43	43	NUM
fumecheng-7012	558	2	.	.	PUNCT
fumecheng-7012	559	1	gurtin	gurtin	PROPN
fumecheng-7012	559	2	,	,	PUNCT
fumecheng-7012	559	3	m.e	m.e	PROPN
fumecheng-7012	559	4	.	.	PROPN
fumecheng-7012	559	5	,	,	PUNCT
fumecheng-7012	559	6	murdoch	murdoch	PROPN
fumecheng-7012	559	7	,	,	PUNCT
fumecheng-7012	559	8	i.	i.	PROPN
fumecheng-7012	559	9	,	,	PUNCT
fumecheng-7012	559	10	1978	1978	NUM
fumecheng-7012	559	11	,	,	PUNCT
fumecheng-7012	559	12	surface	surface	NOUN
fumecheng-7012	559	13	stress	stress	NOUN
fumecheng-7012	559	14	in	in	ADP
fumecheng-7012	559	15	solids	solid	NOUN
fumecheng-7012	559	16	,	,	PUNCT
fumecheng-7012	559	17	international	international	ADJ
fumecheng-7012	559	18	journal	journal	NOUN
fumecheng-7012	559	19	of	of	ADP
fumecheng-7012	559	20	solids	solid	NOUN
fumecheng-7012	559	21	and	and	CCONJ
fumecheng-7012	559	22	structures	structure	NOUN
fumecheng-7012	559	23	,	,	PUNCT
fumecheng-7012	559	24	14(6	14(6	NOUN
fumecheng-7012	559	25	)	)	PUNCT
fumecheng-7012	559	26	,	,	PUNCT
fumecheng-7012	559	27	pp	pp	ADP
fumecheng-7012	559	28	.	.	PUNCT
fumecheng-7012	560	1	431	431	NUM
fumecheng-7012	560	2	-	-	SYM
fumecheng-7012	560	3	440	440	NUM
fumecheng-7012	560	4	.	.	PUNCT
fumecheng-7012	561	1	44	44	NUM
fumecheng-7012	561	2	.	.	PUNCT
fumecheng-7012	562	1	liu	liu	PROPN
fumecheng-7012	562	2	,	,	PUNCT
fumecheng-7012	562	3	c.	c.	PROPN
fumecheng-7012	562	4	,	,	PUNCT
fumecheng-7012	562	5	rajapakse	rajapakse	PROPN
fumecheng-7012	562	6	,	,	PUNCT
fumecheng-7012	562	7	r.k.n.d	r.k.n.d	PROPN
fumecheng-7012	562	8	.	.	PROPN
fumecheng-7012	562	9	,	,	PUNCT
fumecheng-7012	562	10	2010	2010	NUM
fumecheng-7012	562	11	,	,	PUNCT
fumecheng-7012	562	12	continuum	continuum	ADJ
fumecheng-7012	562	13	models	model	NOUN
fumecheng-7012	562	14	incorporating	incorporate	VERB
fumecheng-7012	562	15	surface	surface	NOUN
fumecheng-7012	562	16	energy	energy	NOUN
fumecheng-7012	562	17	for	for	ADP
fumecheng-7012	562	18	static	static	ADJ
fumecheng-7012	562	19	and	and	CCONJ
fumecheng-7012	562	20	dynamic	dynamic	ADJ
fumecheng-7012	562	21	response	response	NOUN
fumecheng-7012	562	22	of	of	ADP
fumecheng-7012	562	23	nanoscale	nanoscale	NOUN
fumecheng-7012	562	24	beams	beam	NOUN
fumecheng-7012	562	25	,	,	PUNCT
fumecheng-7012	562	26	ieee	ieee	NOUN
fumecheng-7012	562	27	transactions	transaction	NOUN
fumecheng-7012	562	28	on	on	ADP
fumecheng-7012	562	29	nanotechnology	nanotechnology	PROPN
fumecheng-7012	562	30	,	,	PUNCT
fumecheng-7012	562	31	9(4	9(4	NUM
fumecheng-7012	562	32	)	)	PUNCT
fumecheng-7012	562	33	,	,	PUNCT
fumecheng-7012	562	34	pp	pp	PROPN
fumecheng-7012	562	35	.	.	PUNCT
fumecheng-7012	563	1	422	422	NUM
fumecheng-7012	563	2	-	-	SYM
fumecheng-7012	563	3	431	431	NUM
fumecheng-7012	563	4	.	.	PUNCT
fumecheng-7012	564	1	45	45	NUM
fumecheng-7012	564	2	.	.	PUNCT
fumecheng-7012	564	3	fu	fu	PROPN
fumecheng-7012	564	4	,	,	PUNCT
fumecheng-7012	564	5	y.	y.	PROPN
fumecheng-7012	564	6	,	,	PUNCT
fumecheng-7012	564	7	zhang	zhang	PROPN
fumecheng-7012	564	8	,	,	PUNCT
fumecheng-7012	564	9	j.	j.	PROPN
fumecheng-7012	564	10	,	,	PUNCT
fumecheng-7012	564	11	jiang	jiang	PROPN
fumecheng-7012	564	12	,	,	PUNCT
fumecheng-7012	564	13	y.	y.	PROPN
fumecheng-7012	564	14	,	,	PUNCT
fumecheng-7012	564	15	2010	2010	NUM
fumecheng-7012	564	16	,	,	PUNCT
fumecheng-7012	564	17	influences	influence	NOUN
fumecheng-7012	564	18	of	of	ADP
fumecheng-7012	564	19	the	the	DET
fumecheng-7012	564	20	surface	surface	NOUN
fumecheng-7012	564	21	energies	energy	NOUN
fumecheng-7012	564	22	on	on	ADP
fumecheng-7012	564	23	the	the	DET
fumecheng-7012	564	24	nonlinear	nonlinear	ADJ
fumecheng-7012	564	25	static	static	ADJ
fumecheng-7012	564	26	and	and	CCONJ
fumecheng-7012	564	27	dynamic	dynamic	ADJ
fumecheng-7012	564	28	behaviors	behavior	NOUN
fumecheng-7012	564	29	of	of	ADP
fumecheng-7012	564	30	nanobeams	nanobeam	NOUN
fumecheng-7012	564	31	,	,	PUNCT
fumecheng-7012	564	32	physica	physica	NOUN
fumecheng-7012	564	33	e	e	NOUN
fumecheng-7012	564	34	:	:	PUNCT
fumecheng-7012	564	35	low	low	ADJ
fumecheng-7012	564	36	-	-	PUNCT
fumecheng-7012	564	37	dimensional	dimensional	ADJ
fumecheng-7012	564	38	systems	system	NOUN
fumecheng-7012	564	39	and	and	CCONJ
fumecheng-7012	564	40	nanostructures	nanostructure	NOUN
fumecheng-7012	564	41	,	,	PUNCT
fumecheng-7012	564	42	42(9	42(9	NUM
fumecheng-7012	564	43	)	)	PUNCT
fumecheng-7012	564	44	,	,	PUNCT
fumecheng-7012	564	45	pp	pp	ADJ
fumecheng-7012	564	46	.	.	PUNCT
fumecheng-7012	565	1	2268	2268	NUM
fumecheng-7012	565	2	-	-	SYM
fumecheng-7012	565	3	2273	2273	NUM
fumecheng-7012	565	4	.	.	PUNCT
fumecheng-7012	566	1	46	46	NUM
fumecheng-7012	566	2	.	.	PUNCT
fumecheng-7012	567	1	fu	fu	PROPN
fumecheng-7012	567	2	,	,	PUNCT
fumecheng-7012	567	3	g.	g.	PROPN
fumecheng-7012	567	4	,	,	PUNCT
fumecheng-7012	567	5	zhou	zhou	PROPN
fumecheng-7012	567	6	,	,	PUNCT
fumecheng-7012	567	7	s.	s.	PROPN
fumecheng-7012	567	8	,	,	PUNCT
fumecheng-7012	567	9	qi	qi	PROPN
fumecheng-7012	567	10	,	,	PUNCT
fumecheng-7012	567	11	l.	l.	PROPN
fumecheng-7012	567	12	,	,	PUNCT
fumecheng-7012	567	13	2019	2019	NUM
fumecheng-7012	567	14	,	,	PUNCT
fumecheng-7012	567	15	a	a	DET
fumecheng-7012	567	16	size‐dependent	size‐dependent	NOUN
fumecheng-7012	567	17	bernoulli‐euler	bernoulli‐euler	NOUN
fumecheng-7012	567	18	beam	beam	NOUN
fumecheng-7012	567	19	model	model	NOUN
fumecheng-7012	567	20	based	base	VERB
fumecheng-7012	567	21	on	on	ADP
fumecheng-7012	567	22	strain	strain	NOUN
fumecheng-7012	567	23	gradient	gradient	NOUN
fumecheng-7012	567	24	elasticity	elasticity	NOUN
fumecheng-7012	567	25	theory	theory	NOUN
fumecheng-7012	567	26	incorporating	incorporate	VERB
fumecheng-7012	567	27	surface	surface	NOUN
fumecheng-7012	567	28	effects	effect	NOUN
fumecheng-7012	567	29	,	,	PUNCT
fumecheng-7012	567	30	zamm	zamm	PROPN
fumecheng-7012	567	31	journal	journal	PROPN
fumecheng-7012	567	32	of	of	ADP
fumecheng-7012	567	33	applied	apply	VERB
fumecheng-7012	567	34	mathematics	mathematic	NOUN
fumecheng-7012	567	35	and	and	CCONJ
fumecheng-7012	567	36	mechanics	mechanic	NOUN
fumecheng-7012	567	37	:	:	PUNCT
fumecheng-7012	567	38	zeitschrift	zeitschrift	NOUN
fumecheng-7012	567	39	für	für	PROPN
fumecheng-7012	567	40	angewandte	angewandte	PROPN
fumecheng-7012	567	41	mathematik	mathematik	PROPN
fumecheng-7012	567	42	und	und	PROPN
fumecheng-7012	567	43	mechanik	mechanik	PROPN
fumecheng-7012	567	44	,	,	PUNCT
fumecheng-7012	567	45	99(6	99(6	NUM
fumecheng-7012	567	46	)	)	PUNCT
fumecheng-7012	567	47	,	,	PUNCT
fumecheng-7012	567	48	pp	pp	PROPN
fumecheng-7012	567	49	.	.	PUNCT
fumecheng-7012	568	1	1	1	NUM
fumecheng-7012	568	2	-	-	SYM
fumecheng-7012	568	3	22	22	NUM
fumecheng-7012	568	4	.	.	PUNCT
fumecheng-7012	569	1	47	47	NUM
fumecheng-7012	569	2	.	.	PUNCT
fumecheng-7012	570	1	lim	lim	PROPN
fumecheng-7012	570	2	,	,	PUNCT
fumecheng-7012	570	3	c.w	c.w	PROPN
fumecheng-7012	570	4	.	.	PROPN
fumecheng-7012	570	5	,	,	PUNCT
fumecheng-7012	570	6	he	he	PRON
fumecheng-7012	570	7	,	,	PUNCT
fumecheng-7012	570	8	l.h	l.h	PROPN
fumecheng-7012	570	9	.	.	PROPN
fumecheng-7012	570	10	,	,	PUNCT
fumecheng-7012	570	11	2004	2004	NUM
fumecheng-7012	570	12	,	,	PUNCT
fumecheng-7012	570	13	size	size	NOUN
fumecheng-7012	570	14	-	-	PUNCT
fumecheng-7012	570	15	dependent	dependent	ADJ
fumecheng-7012	570	16	nonlinear	nonlinear	ADJ
fumecheng-7012	570	17	response	response	NOUN
fumecheng-7012	570	18	of	of	ADP
fumecheng-7012	570	19	thin	thin	ADJ
fumecheng-7012	570	20	elastic	elastic	ADJ
fumecheng-7012	570	21	films	film	NOUN
fumecheng-7012	570	22	with	with	ADP
fumecheng-7012	570	23	nano	nano	NOUN
fumecheng-7012	570	24	-	-	PUNCT
fumecheng-7012	570	25	scale	scale	NOUN
fumecheng-7012	570	26	thickness	thickness	NOUN
fumecheng-7012	570	27	,	,	PUNCT
fumecheng-7012	570	28	international	international	ADJ
fumecheng-7012	570	29	journal	journal	NOUN
fumecheng-7012	570	30	of	of	ADP
fumecheng-7012	570	31	mechanical	mechanical	ADJ
fumecheng-7012	570	32	sciences	science	NOUN
fumecheng-7012	570	33	,	,	PUNCT
fumecheng-7012	570	34	46(11	46(11	NUM
fumecheng-7012	570	35	)	)	PUNCT
fumecheng-7012	570	36	,	,	PUNCT
fumecheng-7012	570	37	pp	pp	PROPN
fumecheng-7012	570	38	.	.	PUNCT
fumecheng-7012	570	39	1715	1715	NUM
fumecheng-7012	570	40	-	-	SYM
fumecheng-7012	570	41	1726	1726	NUM
fumecheng-7012	570	42	.	.	PUNCT
fumecheng-7012	571	1	48	48	NUM
fumecheng-7012	571	2	.	.	PUNCT
fumecheng-7012	571	3	sahmani	sahmani	PROPN
fumecheng-7012	571	4	,	,	PUNCT
fumecheng-7012	571	5	s.	s.	PROPN
fumecheng-7012	571	6	,	,	PUNCT
fumecheng-7012	571	7	aghdam	aghdam	NOUN
fumecheng-7012	571	8	,	,	PUNCT
fumecheng-7012	571	9	m.m	m.m	PROPN
fumecheng-7012	571	10	.	.	PROPN
fumecheng-7012	571	11	,	,	PUNCT
fumecheng-7012	571	12	akbarzadeh	akbarzadeh	PROPN
fumecheng-7012	571	13	,	,	PUNCT
fumecheng-7012	571	14	a.h	a.h	PROPN
fumecheng-7012	571	15	.	.	PROPN
fumecheng-7012	571	16	,	,	PUNCT
fumecheng-7012	571	17	2016	2016	NUM
fumecheng-7012	571	18	,	,	PUNCT
fumecheng-7012	571	19	size	size	NOUN
fumecheng-7012	571	20	-	-	PUNCT
fumecheng-7012	571	21	dependent	dependent	ADJ
fumecheng-7012	571	22	buckling	buckling	NOUN
fumecheng-7012	571	23	and	and	CCONJ
fumecheng-7012	571	24	postbuckling	postbuckle	VERB
fumecheng-7012	571	25	behavior	behavior	NOUN
fumecheng-7012	571	26	of	of	ADP
fumecheng-7012	571	27	piezoelectric	piezoelectric	ADJ
fumecheng-7012	571	28	cylindrical	cylindrical	ADJ
fumecheng-7012	571	29	nanoshells	nanoshell	NOUN
fumecheng-7012	571	30	subjected	subject	VERB
fumecheng-7012	571	31	to	to	PART
fumecheng-7012	571	32	compression	compression	NOUN
fumecheng-7012	571	33	and	and	CCONJ
fumecheng-7012	571	34	electrical	electrical	ADJ
fumecheng-7012	571	35	load	load	NOUN
fumecheng-7012	571	36	,	,	PUNCT
fumecheng-7012	571	37	materials	material	NOUN
fumecheng-7012	571	38	&	&	CCONJ
fumecheng-7012	571	39	design	design	PROPN
fumecheng-7012	571	40	,	,	PUNCT
fumecheng-7012	571	41	105	105	NUM
fumecheng-7012	571	42	,	,	PUNCT
fumecheng-7012	571	43	pp	pp	ADJ
fumecheng-7012	571	44	.	.	PUNCT
fumecheng-7012	572	1	341	341	NUM
fumecheng-7012	572	2	-	-	SYM
fumecheng-7012	572	3	351	351	NUM
fumecheng-7012	572	4	.	.	PUNCT
fumecheng-7012	572	5	49	49	NUM
fumecheng-7012	572	6	.	.	PUNCT
fumecheng-7012	573	1	limkatanyu	limkatanyu	PROPN
fumecheng-7012	573	2	,	,	PUNCT
fumecheng-7012	573	3	s.	s.	PROPN
fumecheng-7012	573	4	,	,	PUNCT
fumecheng-7012	573	5	damrongwiriyanupap	damrongwiriyanupap	PROPN
fumecheng-7012	573	6	,	,	PUNCT
fumecheng-7012	573	7	n.	n.	NOUN
fumecheng-7012	573	8	,	,	PUNCT
fumecheng-7012	573	9	prachasaree	prachasaree	PROPN
fumecheng-7012	573	10	,	,	PUNCT
fumecheng-7012	573	11	w.	w.	PROPN
fumecheng-7012	573	12	,	,	PUNCT
fumecheng-7012	573	13	sae	sae	PROPN
fumecheng-7012	573	14	-	-	PROPN
fumecheng-7012	573	15	long	long	ADV
fumecheng-7012	573	16	,	,	PUNCT
fumecheng-7012	573	17	w.	w.	NOUN
fumecheng-7012	573	18	,	,	PUNCT
fumecheng-7012	573	19	2013	2013	NUM
fumecheng-7012	573	20	,	,	PUNCT
fumecheng-7012	573	21	modeling	modeling	NOUN
fumecheng-7012	573	22	of	of	ADP
fumecheng-7012	573	23	axially	axially	ADV
fumecheng-7012	573	24	loaded	load	VERB
fumecheng-7012	573	25	nanowire	nanowire	NOUN
fumecheng-7012	573	26	embedded	embed	VERB
fumecheng-7012	573	27	in	in	ADP
fumecheng-7012	573	28	elastic	elastic	ADJ
fumecheng-7012	573	29	substrate	substrate	NOUN
fumecheng-7012	573	30	media	medium	NOUN
fumecheng-7012	573	31	including	include	VERB
fumecheng-7012	573	32	nonlocal	nonlocal	ADJ
fumecheng-7012	573	33	and	and	CCONJ
fumecheng-7012	573	34	surface	surface	NOUN
fumecheng-7012	573	35	effects	effect	NOUN
fumecheng-7012	573	36	,	,	PUNCT
fumecheng-7012	573	37	journal	journal	NOUN
fumecheng-7012	573	38	of	of	ADP
fumecheng-7012	573	39	nanomaterials	nanomaterial	NOUN
fumecheng-7012	573	40	,	,	PUNCT
fumecheng-7012	573	41	635428	635428	NUM
fumecheng-7012	573	42	.	.	PUNCT
fumecheng-7012	574	1	50	50	NUM
fumecheng-7012	574	2	.	.	PUNCT
fumecheng-7012	574	3	limkatanyu	limkatanyu	PROPN
fumecheng-7012	574	4	,	,	PUNCT
fumecheng-7012	574	5	s.	s.	PROPN
fumecheng-7012	574	6	,	,	PUNCT
fumecheng-7012	574	7	prachasaree	prachasaree	PROPN
fumecheng-7012	574	8	,	,	PUNCT
fumecheng-7012	574	9	w.	w.	PROPN
fumecheng-7012	574	10	,	,	PUNCT
fumecheng-7012	574	11	damrongwiriyanupap	damrongwiriyanupap	PROPN
fumecheng-7012	574	12	,	,	PUNCT
fumecheng-7012	574	13	n.	n.	PROPN
fumecheng-7012	574	14	,	,	PUNCT
fumecheng-7012	574	15	kwon	kwon	PROPN
fumecheng-7012	574	16	,	,	PUNCT
fumecheng-7012	574	17	m.	m.	NOUN
fumecheng-7012	574	18	,	,	PUNCT
fumecheng-7012	574	19	2014	2014	NUM
fumecheng-7012	574	20	,	,	PUNCT
fumecheng-7012	574	21	exact	exact	ADJ
fumecheng-7012	574	22	stiffness	stiffness	NOUN
fumecheng-7012	574	23	matrix	matrix	NOUN
fumecheng-7012	574	24	for	for	ADP
fumecheng-7012	574	25	nonlocal	nonlocal	ADJ
fumecheng-7012	574	26	bars	bar	NOUN
fumecheng-7012	574	27	embedded	embed	VERB
fumecheng-7012	574	28	in	in	ADP
fumecheng-7012	574	29	elastic	elastic	ADJ
fumecheng-7012	574	30	foundation	foundation	NOUN
fumecheng-7012	574	31	media	medium	NOUN
fumecheng-7012	574	32	:	:	PUNCT
fumecheng-7012	574	33	the	the	DET
fumecheng-7012	574	34	virtual	virtual	ADJ
fumecheng-7012	574	35	-	-	PUNCT
fumecheng-7012	574	36	force	force	NOUN
fumecheng-7012	574	37	approach	approach	NOUN
fumecheng-7012	574	38	,	,	PUNCT
fumecheng-7012	574	39	journal	journal	NOUN
fumecheng-7012	574	40	of	of	ADP
fumecheng-7012	574	41	engineering	engineering	NOUN
fumecheng-7012	574	42	mathematics	mathematic	NOUN
fumecheng-7012	574	43	,	,	PUNCT
fumecheng-7012	574	44	89	89	NUM
fumecheng-7012	574	45	,	,	PUNCT
fumecheng-7012	574	46	pp	pp	ADJ
fumecheng-7012	574	47	.	.	PUNCT
fumecheng-7012	575	1	163	163	NUM
fumecheng-7012	575	2	-	-	SYM
fumecheng-7012	575	3	176	176	NUM
fumecheng-7012	575	4	.	.	PUNCT
fumecheng-7012	576	1	51	51	NUM
fumecheng-7012	576	2	.	.	PUNCT
fumecheng-7012	577	1	klusemann	klusemann	PROPN
fumecheng-7012	577	2	,	,	PUNCT
fumecheng-7012	577	3	b.	b.	PROPN
fumecheng-7012	577	4	,	,	PUNCT
fumecheng-7012	577	5	bargmann	bargmann	PROPN
fumecheng-7012	577	6	,	,	PUNCT
fumecheng-7012	577	7	s.	s.	PROPN
fumecheng-7012	577	8	,	,	PUNCT
fumecheng-7012	577	9	estrin	estrin	NOUN
fumecheng-7012	577	10	,	,	PUNCT
fumecheng-7012	577	11	y.	y.	PROPN
fumecheng-7012	577	12	,	,	PUNCT
fumecheng-7012	577	13	2016	2016	NUM
fumecheng-7012	577	14	,	,	PUNCT
fumecheng-7012	577	15	fourth	fourth	ADJ
fumecheng-7012	577	16	-	-	PUNCT
fumecheng-7012	577	17	order	order	NOUN
fumecheng-7012	577	18	strain	strain	NOUN
fumecheng-7012	577	19	-	-	PUNCT
fumecheng-7012	577	20	gradient	gradient	NOUN
fumecheng-7012	577	21	phase	phase	NOUN
fumecheng-7012	577	22	mixture	mixture	NOUN
fumecheng-7012	577	23	model	model	NOUN
fumecheng-7012	577	24	for	for	ADP
fumecheng-7012	577	25	nanocrystalline	nanocrystalline	PROPN
fumecheng-7012	577	26	fcc	fcc	PROPN
fumecheng-7012	577	27	materials	material	NOUN
fumecheng-7012	577	28	,	,	PUNCT
fumecheng-7012	577	29	modelling	modelling	NOUN
fumecheng-7012	577	30	and	and	CCONJ
fumecheng-7012	577	31	simulation	simulation	NOUN
fumecheng-7012	577	32	in	in	ADP
fumecheng-7012	577	33	materials	material	NOUN
fumecheng-7012	577	34	science	science	NOUN
fumecheng-7012	577	35	and	and	CCONJ
fumecheng-7012	577	36	engineering	engineering	NOUN
fumecheng-7012	577	37	,	,	PUNCT
fumecheng-7012	577	38	24	24	NUM
fumecheng-7012	577	39	,	,	PUNCT
fumecheng-7012	577	40	085016	085016	NUM
fumecheng-7012	577	41	.	.	PUNCT
fumecheng-7012	578	1	52	52	NUM
fumecheng-7012	578	2	.	.	PUNCT
fumecheng-7012	578	3	morfidis	morfidis	NOUN
fumecheng-7012	578	4	,	,	PUNCT
fumecheng-7012	578	5	k.	k.	PROPN
fumecheng-7012	578	6	,	,	PUNCT
fumecheng-7012	578	7	2003	2003	NUM
fumecheng-7012	578	8	,	,	PUNCT
fumecheng-7012	578	9	research	research	NOUN
fumecheng-7012	578	10	and	and	CCONJ
fumecheng-7012	578	11	development	development	NOUN
fumecheng-7012	578	12	of	of	ADP
fumecheng-7012	578	13	methods	method	NOUN
fumecheng-7012	578	14	for	for	ADP
fumecheng-7012	578	15	the	the	DET
fumecheng-7012	578	16	modeling	modeling	NOUN
fumecheng-7012	578	17	of	of	ADP
fumecheng-7012	578	18	foundation	foundation	NOUN
fumecheng-7012	578	19	structural	structural	ADJ
fumecheng-7012	578	20	elements	element	NOUN
fumecheng-7012	578	21	and	and	CCONJ
fumecheng-7012	578	22	soil	soil	NOUN
fumecheng-7012	578	23	,	,	PUNCT
fumecheng-7012	578	24	phd	phd	NOUN
fumecheng-7012	578	25	dissertation	dissertation	NOUN
fumecheng-7012	578	26	,	,	PUNCT
fumecheng-7012	578	27	department	department	NOUN
fumecheng-7012	578	28	of	of	ADP
fumecheng-7012	578	29	civil	civil	ADJ
fumecheng-7012	578	30	engineering	engineering	NOUN
fumecheng-7012	578	31	,	,	PUNCT
fumecheng-7012	578	32	aristotle	aristotle	PROPN
fumecheng-7012	578	33	university	university	PROPN
fumecheng-7012	578	34	of	of	ADP
fumecheng-7012	578	35	thessaloniki	thessaloniki	PROPN
fumecheng-7012	578	36	,	,	PUNCT
fumecheng-7012	578	37	greece	greece	PROPN
fumecheng-7012	578	38	.	.	PUNCT
fumecheng-7012	579	1	53	53	NUM
fumecheng-7012	579	2	.	.	PUNCT
fumecheng-7012	580	1	avramidis	avramidi	NOUN
fumecheng-7012	580	2	,	,	PUNCT
fumecheng-7012	580	3	i.e.	i.e.	X
fumecheng-7012	580	4	,	,	PUNCT
fumecheng-7012	580	5	morfidis	morfidi	NOUN
fumecheng-7012	580	6	,	,	PUNCT
fumecheng-7012	580	7	k.	k.	PROPN
fumecheng-7012	580	8	,	,	PUNCT
fumecheng-7012	580	9	2006	2006	NUM
fumecheng-7012	580	10	,	,	PUNCT
fumecheng-7012	580	11	bending	bend	VERB
fumecheng-7012	580	12	of	of	ADP
fumecheng-7012	580	13	beams	beam	NOUN
fumecheng-7012	580	14	on	on	ADP
fumecheng-7012	580	15	three	three	NUM
fumecheng-7012	580	16	-	-	PUNCT
fumecheng-7012	580	17	parameter	parameter	NOUN
fumecheng-7012	580	18	elastic	elastic	ADJ
fumecheng-7012	580	19	foundation	foundation	NOUN
fumecheng-7012	580	20	,	,	PUNCT
fumecheng-7012	580	21	international	international	ADJ
fumecheng-7012	580	22	journal	journal	NOUN
fumecheng-7012	580	23	of	of	ADP
fumecheng-7012	580	24	solids	solid	NOUN
fumecheng-7012	580	25	and	and	CCONJ
fumecheng-7012	580	26	structures	structure	NOUN
fumecheng-7012	580	27	,	,	PUNCT
fumecheng-7012	580	28	43(2	43(2	NUM
fumecheng-7012	580	29	)	)	PUNCT
fumecheng-7012	580	30	,	,	PUNCT
fumecheng-7012	580	31	pp	pp	PROPN
fumecheng-7012	580	32	.	.	PUNCT
fumecheng-7012	581	1	357	357	NUM
fumecheng-7012	581	2	-	-	SYM
fumecheng-7012	581	3	375	375	NUM
fumecheng-7012	581	4	.	.	PUNCT
fumecheng-7012	582	1	54	54	NUM
fumecheng-7012	582	2	.	.	PUNCT
fumecheng-7012	583	1	wolfram	wolfram	PROPN
fumecheng-7012	583	2	,	,	PUNCT
fumecheng-7012	583	3	s.	s.	PROPN
fumecheng-7012	583	4	,	,	PUNCT
fumecheng-7012	583	5	1992	1992	NUM
fumecheng-7012	583	6	,	,	PUNCT
fumecheng-7012	583	7	mathematica	mathematica	PROPN
fumecheng-7012	583	8	reference	reference	PROPN
fumecheng-7012	583	9	guide	guide	NOUN
fumecheng-7012	583	10	,	,	PUNCT
fumecheng-7012	583	11	addison	addison	PROPN
fumecheng-7012	583	12	-	-	PUNCT
fumecheng-7012	583	13	wesley	wesley	PROPN
fumecheng-7012	583	14	publishing	publishing	PROPN
fumecheng-7012	583	15	company	company	NOUN
fumecheng-7012	583	16	,	,	PUNCT
fumecheng-7012	583	17	redwood	redwood	NOUN
fumecheng-7012	583	18	city	city	PROPN
fumecheng-7012	583	19	,	,	PUNCT
fumecheng-7012	583	20	california	california	PROPN
fumecheng-7012	583	21	.	.	PUNCT
fumecheng-7012	584	1	55	55	NUM
fumecheng-7012	584	2	.	.	X
fumecheng-7012	585	1	winkler	winkler	PROPN
fumecheng-7012	585	2	,	,	PUNCT
fumecheng-7012	585	3	e.	e.	PROPN
fumecheng-7012	585	4	,	,	PUNCT
fumecheng-7012	585	5	1867	1867	NUM
fumecheng-7012	585	6	,	,	PUNCT
fumecheng-7012	585	7	die	die	VERB
fumecheng-7012	585	8	lehre	lehre	PROPN
fumecheng-7012	585	9	von	von	PROPN
fumecheng-7012	585	10	der	der	PROPN
fumecheng-7012	585	11	und	und	VERB
fumecheng-7012	585	12	festigkeit	festigkeit	NOUN
fumecheng-7012	585	13	,	,	PUNCT
fumecheng-7012	585	14	dominicus	dominicus	PROPN
fumecheng-7012	585	15	,	,	PUNCT
fumecheng-7012	585	16	prag	prag	PROPN
fumecheng-7012	585	17	.	.	PROPN
fumecheng-7012	585	18	56	56	NUM
fumecheng-7012	585	19	.	.	PUNCT
fumecheng-7012	586	1	tonti	tonti	PROPN
fumecheng-7012	586	2	,	,	PUNCT
fumecheng-7012	586	3	e.	e.	PROPN
fumecheng-7012	586	4	,	,	PUNCT
fumecheng-7012	586	5	1976	1976	NUM
fumecheng-7012	586	6	,	,	PUNCT
fumecheng-7012	586	7	the	the	DET
fumecheng-7012	586	8	reason	reason	NOUN
fumecheng-7012	586	9	for	for	ADP
fumecheng-7012	586	10	analogies	analogy	NOUN
fumecheng-7012	586	11	between	between	ADP
fumecheng-7012	586	12	physical	physical	ADJ
fumecheng-7012	586	13	theories	theory	NOUN
fumecheng-7012	586	14	,	,	PUNCT
fumecheng-7012	586	15	applied	apply	VERB
fumecheng-7012	586	16	mathematical	mathematical	ADJ
fumecheng-7012	586	17	modelling	modelling	NOUN
fumecheng-7012	586	18	,	,	PUNCT
fumecheng-7012	586	19	1(1	1(1	NUM
fumecheng-7012	586	20	)	)	PUNCT
fumecheng-7012	586	21	,	,	PUNCT
fumecheng-7012	586	22	pp	pp	ADJ
fumecheng-7012	586	23	.	.	PUNCT
fumecheng-7012	587	1	37	37	NUM
fumecheng-7012	587	2	-	-	SYM
fumecheng-7012	587	3	50	50	NUM
fumecheng-7012	587	4	.	.	PUNCT
fumecheng-7012	588	1	57	57	NUM
fumecheng-7012	588	2	.	.	PUNCT
fumecheng-7012	589	1	juntarasaid	juntarasaid	PROPN
fumecheng-7012	589	2	,	,	PUNCT
fumecheng-7012	589	3	c.	c.	NOUN
fumecheng-7012	589	4	,	,	PUNCT
fumecheng-7012	589	5	pulngern	pulngern	ADJ
fumecheng-7012	589	6	,	,	PUNCT
fumecheng-7012	589	7	t.	t.	PROPN
fumecheng-7012	589	8	,	,	PUNCT
fumecheng-7012	589	9	chucheepsakul	chucheepsakul	PROPN
fumecheng-7012	589	10	,	,	PUNCT
fumecheng-7012	589	11	s.	s.	PROPN
fumecheng-7012	589	12	,	,	PUNCT
fumecheng-7012	589	13	2012	2012	NUM
fumecheng-7012	589	14	,	,	PUNCT
fumecheng-7012	589	15	bending	bend	VERB
fumecheng-7012	589	16	and	and	CCONJ
fumecheng-7012	589	17	buckling	buckling	NOUN
fumecheng-7012	589	18	of	of	ADP
fumecheng-7012	589	19	nanowires	nanowire	NOUN
fumecheng-7012	589	20	including	include	VERB
fumecheng-7012	589	21	the	the	DET
fumecheng-7012	589	22	effects	effect	NOUN
fumecheng-7012	589	23	of	of	ADP
fumecheng-7012	589	24	surface	surface	NOUN
fumecheng-7012	589	25	stress	stress	NOUN
fumecheng-7012	589	26	and	and	CCONJ
fumecheng-7012	589	27	nonlocal	nonlocal	ADJ
fumecheng-7012	589	28	elasticity	elasticity	NOUN
fumecheng-7012	589	29	,	,	PUNCT
fumecheng-7012	589	30	physica	physica	NOUN
fumecheng-7012	589	31	e	e	NOUN
fumecheng-7012	589	32	:	:	PUNCT
fumecheng-7012	589	33	low	low	ADJ
fumecheng-7012	589	34	-	-	PUNCT
fumecheng-7012	589	35	dimensional	dimensional	ADJ
fumecheng-7012	589	36	systems	system	NOUN
fumecheng-7012	589	37	and	and	CCONJ
fumecheng-7012	589	38	nanostructures	nanostructure	NOUN
fumecheng-7012	589	39	,	,	PUNCT
fumecheng-7012	589	40	46	46	NUM
fumecheng-7012	589	41	,	,	PUNCT
fumecheng-7012	589	42	pp	pp	ADJ
fumecheng-7012	589	43	.	.	PUNCT
fumecheng-7012	590	1	68	68	NUM
fumecheng-7012	590	2	-	-	SYM
fumecheng-7012	590	3	76	76	NUM
fumecheng-7012	590	4	.	.	PUNCT
fumecheng-7012	591	1	58	58	NUM
fumecheng-7012	591	2	.	.	PUNCT
fumecheng-7012	592	1	he	he	PRON
fumecheng-7012	592	2	,	,	PUNCT
fumecheng-7012	592	3	j.	j.	PROPN
fumecheng-7012	592	4	,	,	PUNCT
fumecheng-7012	592	5	lilley	lilley	PROPN
fumecheng-7012	592	6	,	,	PUNCT
fumecheng-7012	592	7	c.m	c.m	PROPN
fumecheng-7012	592	8	.	.	PROPN
fumecheng-7012	592	9	,	,	PUNCT
fumecheng-7012	592	10	2008	2008	NUM
fumecheng-7012	592	11	,	,	PUNCT
fumecheng-7012	592	12	surface	surface	NOUN
fumecheng-7012	592	13	effect	effect	NOUN
fumecheng-7012	592	14	on	on	ADP
fumecheng-7012	592	15	the	the	DET
fumecheng-7012	592	16	elastic	elastic	ADJ
fumecheng-7012	592	17	behavior	behavior	NOUN
fumecheng-7012	592	18	of	of	ADP
fumecheng-7012	592	19	static	static	ADJ
fumecheng-7012	592	20	bending	bending	NOUN
fumecheng-7012	592	21	nanowires	nanowire	NOUN
fumecheng-7012	592	22	,	,	PUNCT
fumecheng-7012	592	23	nano	nano	NOUN
fumecheng-7012	592	24	letters	letter	NOUN
fumecheng-7012	592	25	,	,	PUNCT
fumecheng-7012	592	26	8(7	8(7	NUM
fumecheng-7012	592	27	)	)	PUNCT
fumecheng-7012	592	28	,	,	PUNCT
fumecheng-7012	592	29	pp	pp	ADP
fumecheng-7012	592	30	.	.	PUNCT
fumecheng-7012	592	31	1798	1798	NUM
fumecheng-7012	592	32	-	-	SYM
fumecheng-7012	592	33	1802	1802	NUM
fumecheng-7012	592	34	.	.	PUNCT
fumecheng-7012	593	1	59	59	NUM
fumecheng-7012	593	2	.	.	PUNCT
fumecheng-7012	593	3	shenoy	shenoy	PROPN
fumecheng-7012	593	4	,	,	PUNCT
fumecheng-7012	593	5	v.b	v.b	PROPN
fumecheng-7012	593	6	.	.	PROPN
fumecheng-7012	593	7	,	,	PUNCT
fumecheng-7012	593	8	2006	2006	NUM
fumecheng-7012	593	9	,	,	PUNCT
fumecheng-7012	593	10	atomistic	atomistic	ADJ
fumecheng-7012	593	11	calculations	calculation	NOUN
fumecheng-7012	593	12	of	of	ADP
fumecheng-7012	593	13	elastic	elastic	ADJ
fumecheng-7012	593	14	properties	property	NOUN
fumecheng-7012	593	15	of	of	ADP
fumecheng-7012	593	16	metallic	metallic	ADJ
fumecheng-7012	593	17	fcc	fcc	PROPN
fumecheng-7012	593	18	crystal	crystal	NOUN
fumecheng-7012	593	19	surfaces	surface	NOUN
fumecheng-7012	593	20	,	,	PUNCT
fumecheng-7012	593	21	physical	physical	ADJ
fumecheng-7012	593	22	review	review	NOUN
fumecheng-7012	593	23	b	b	PROPN
fumecheng-7012	593	24	,	,	PUNCT
fumecheng-7012	593	25	74(14	74(14	PROPN
fumecheng-7012	593	26	)	)	PUNCT
fumecheng-7012	593	27	,	,	PUNCT
fumecheng-7012	593	28	149901	149901	NUM
fumecheng-7012	593	29	.	.	PUNCT
fumecheng-7012	594	1	60	60	NUM
fumecheng-7012	594	2	.	.	PUNCT
fumecheng-7012	595	1	liew	liew	PROPN
fumecheng-7012	595	2	,	,	PUNCT
fumecheng-7012	595	3	k.m	k.m	PROPN
fumecheng-7012	595	4	.	.	PROPN
fumecheng-7012	595	5	,	,	PUNCT
fumecheng-7012	595	6	he	he	PRON
fumecheng-7012	595	7	,	,	PUNCT
fumecheng-7012	595	8	x.q	x.q	PROPN
fumecheng-7012	595	9	.	.	PROPN
fumecheng-7012	595	10	,	,	PUNCT
fumecheng-7012	595	11	kitipornchai	kitipornchai	PROPN
fumecheng-7012	595	12	,	,	PUNCT
fumecheng-7012	595	13	s.	s.	PROPN
fumecheng-7012	595	14	,	,	PUNCT
fumecheng-7012	595	15	2006	2006	NUM
fumecheng-7012	595	16	,	,	PUNCT
fumecheng-7012	595	17	predicting	predict	VERB
fumecheng-7012	595	18	nanovibration	nanovibration	NOUN
fumecheng-7012	595	19	of	of	ADP
fumecheng-7012	595	20	multi	multi	ADJ
fumecheng-7012	595	21	-	-	ADJ
fumecheng-7012	595	22	layer	layer	ADJ
fumecheng-7012	595	23	grapheme	grapheme	NOUN
fumecheng-7012	595	24	sheets	sheet	NOUN
fumecheng-7012	595	25	embedded	embed	VERB
fumecheng-7012	595	26	in	in	ADP
fumecheng-7012	595	27	an	an	DET
fumecheng-7012	595	28	elastic	elastic	ADJ
fumecheng-7012	595	29	matrix	matrix	NOUN
fumecheng-7012	595	30	,	,	PUNCT
fumecheng-7012	595	31	acta	acta	PROPN
fumecheng-7012	595	32	materialia	materialia	PROPN
fumecheng-7012	595	33	,	,	PUNCT
fumecheng-7012	595	34	54(16	54(16	NOUN
fumecheng-7012	595	35	)	)	PUNCT
fumecheng-7012	595	36	,	,	PUNCT
fumecheng-7012	595	37	pp	pp	PROPN
fumecheng-7012	595	38	.	.	PUNCT
fumecheng-7012	596	1	4229	4229	NUM
fumecheng-7012	596	2	-	-	SYM
fumecheng-7012	596	3	4236	4236	NUM
fumecheng-7012	596	4	.	.	PUNCT
fumecheng-7012	597	1	61	61	NUM
fumecheng-7012	597	2	.	.	PUNCT
fumecheng-7012	598	1	assadi	assadi	PROPN
fumecheng-7012	598	2	,	,	PUNCT
fumecheng-7012	598	3	a.	a.	NOUN
fumecheng-7012	598	4	,	,	PUNCT
fumecheng-7012	598	5	farshi	farshi	PROPN
fumecheng-7012	598	6	,	,	PUNCT
fumecheng-7012	598	7	b.	b.	PROPN
fumecheng-7012	598	8	,	,	PUNCT
fumecheng-7012	598	9	alinia	alinia	NOUN
fumecheng-7012	598	10	-	-	PUNCT
fumecheng-7012	598	11	ziazi	ziazi	PROPN
fumecheng-7012	598	12	,	,	PUNCT
fumecheng-7012	598	13	a.	a.	NOUN
fumecheng-7012	598	14	,	,	PUNCT
fumecheng-7012	598	15	2010	2010	NUM
fumecheng-7012	598	16	,	,	PUNCT
fumecheng-7012	598	17	size	size	VERB
fumecheng-7012	598	18	dependent	dependent	ADJ
fumecheng-7012	598	19	dynamic	dynamic	ADJ
fumecheng-7012	598	20	analysis	analysis	NOUN
fumecheng-7012	598	21	of	of	ADP
fumecheng-7012	598	22	nanoplates	nanoplate	NOUN
fumecheng-7012	598	23	,	,	PUNCT
fumecheng-7012	598	24	journal	journal	NOUN
fumecheng-7012	598	25	of	of	ADP
fumecheng-7012	598	26	applied	applied	ADJ
fumecheng-7012	598	27	physics	physic	NOUN
fumecheng-7012	598	28	,	,	PUNCT
fumecheng-7012	598	29	107(12	107(12	NUM
fumecheng-7012	598	30	)	)	PUNCT
fumecheng-7012	598	31	,	,	PUNCT
fumecheng-7012	598	32	124310	124310	NUM
fumecheng-7012	598	33	.	.	PUNCT
fumecheng-7012	599	1	62	62	NUM
fumecheng-7012	599	2	.	.	PUNCT
fumecheng-7012	600	1	jiang	jiang	PROPN
fumecheng-7012	600	2	,	,	PUNCT
fumecheng-7012	600	3	l.y	l.y	PROPN
fumecheng-7012	600	4	.	.	PROPN
fumecheng-7012	600	5	,	,	PUNCT
fumecheng-7012	600	6	yan	yan	PROPN
fumecheng-7012	600	7	,	,	PUNCT
fumecheng-7012	600	8	z.	z.	PROPN
fumecheng-7012	600	9	,	,	PUNCT
fumecheng-7012	600	10	2010	2010	NUM
fumecheng-7012	600	11	,	,	PUNCT
fumecheng-7012	600	12	timoshenko	timoshenko	NOUN
fumecheng-7012	600	13	beam	beam	NOUN
fumecheng-7012	600	14	model	model	NOUN
fumecheng-7012	600	15	for	for	ADP
fumecheng-7012	600	16	static	static	ADJ
fumecheng-7012	600	17	bending	bending	NOUN
fumecheng-7012	600	18	of	of	ADP
fumecheng-7012	600	19	nanowires	nanowire	NOUN
fumecheng-7012	600	20	with	with	ADP
fumecheng-7012	600	21	surface	surface	NOUN
fumecheng-7012	600	22	effects	effect	NOUN
fumecheng-7012	600	23	,	,	PUNCT
fumecheng-7012	600	24	physica	physica	NOUN
fumecheng-7012	600	25	e	e	NOUN
fumecheng-7012	600	26	:	:	PUNCT
fumecheng-7012	600	27	low	low	ADJ
fumecheng-7012	600	28	-	-	PUNCT
fumecheng-7012	600	29	dimensional	dimensional	ADJ
fumecheng-7012	600	30	systems	system	NOUN
fumecheng-7012	600	31	and	and	CCONJ
fumecheng-7012	600	32	nanostructures	nanostructure	NOUN
fumecheng-7012	600	33	,	,	PUNCT
fumecheng-7012	600	34	42(9	42(9	NUM
fumecheng-7012	600	35	)	)	PUNCT
fumecheng-7012	600	36	,	,	PUNCT
fumecheng-7012	600	37	pp	pp	ADP
fumecheng-7012	600	38	.	.	PUNCT
fumecheng-7012	601	1	2274	2274	NUM
fumecheng-7012	601	2	-	-	SYM
fumecheng-7012	601	3	2279	2279	NUM
fumecheng-7012	601	4	.	.	PUNCT
fumecheng-7012	602	1	63	63	NUM
fumecheng-7012	602	2	.	.	PUNCT
fumecheng-7012	602	3	limkatanyu	limkatanyu	PROPN
fumecheng-7012	602	4	,	,	PUNCT
fumecheng-7012	602	5	s.	s.	PROPN
fumecheng-7012	602	6	,	,	PUNCT
fumecheng-7012	602	7	kuntiyawichai	kuntiyawichai	PROPN
fumecheng-7012	602	8	,	,	PUNCT
fumecheng-7012	602	9	k.	k.	PROPN
fumecheng-7012	602	10	,	,	PUNCT
fumecheng-7012	602	11	spacone	spacone	PROPN
fumecheng-7012	602	12	,	,	PUNCT
fumecheng-7012	602	13	e.	e.	PROPN
fumecheng-7012	602	14	,	,	PUNCT
fumecheng-7012	602	15	kwon	kwon	PROPN
fumecheng-7012	602	16	,	,	PUNCT
fumecheng-7012	602	17	m.	m.	NOUN
fumecheng-7012	602	18	,	,	PUNCT
fumecheng-7012	602	19	2012	2012	NUM
fumecheng-7012	602	20	,	,	PUNCT
fumecheng-7012	602	21	natural	natural	ADJ
fumecheng-7012	602	22	stiffness	stiffness	NOUN
fumecheng-7012	602	23	matrix	matrix	NOUN
fumecheng-7012	602	24	for	for	ADP
fumecheng-7012	602	25	beams	beam	NOUN
fumecheng-7012	602	26	on	on	ADP
fumecheng-7012	602	27	winkler	winkler	PROPN
fumecheng-7012	602	28	foundation	foundation	PROPN
fumecheng-7012	602	29	:	:	PUNCT
fumecheng-7012	603	1	exact	exact	ADJ
fumecheng-7012	603	2	force	force	NOUN
fumecheng-7012	603	3	-	-	PUNCT
fumecheng-7012	603	4	based	base	VERB
fumecheng-7012	603	5	derivation	derivation	NOUN
fumecheng-7012	603	6	,	,	PUNCT
fumecheng-7012	603	7	structural	structural	ADJ
fumecheng-7012	603	8	engineering	engineering	NOUN
fumecheng-7012	603	9	and	and	CCONJ
fumecheng-7012	603	10	mechanics	mechanic	NOUN
fumecheng-7012	603	11	,	,	PUNCT
fumecheng-7012	603	12	42(1	42(1	NOUN
fumecheng-7012	603	13	)	)	PUNCT
fumecheng-7012	603	14	,	,	PUNCT
fumecheng-7012	603	15	pp	pp	ADP
fumecheng-7012	603	16	.	.	PUNCT
fumecheng-7012	604	1	39	39	NUM
fumecheng-7012	604	2	-	-	SYM
fumecheng-7012	604	3	53	53	NUM
fumecheng-7012	604	4	.	.	NUM
fumecheng-7012	605	1	64	64	NUM
fumecheng-7012	605	2	.	.	PUNCT
fumecheng-7012	606	1	khajeansari	khajeansari	PROPN
fumecheng-7012	606	2	,	,	PUNCT
fumecheng-7012	606	3	a.	a.	PROPN
fumecheng-7012	606	4	,	,	PUNCT
fumecheng-7012	606	5	baradaran	baradaran	PROPN
fumecheng-7012	606	6	,	,	PUNCT
fumecheng-7012	606	7	g.h	g.h	PROPN
fumecheng-7012	606	8	.	.	PROPN
fumecheng-7012	606	9	,	,	PUNCT
fumecheng-7012	606	10	yvonnet	yvonnet	PROPN
fumecheng-7012	606	11	,	,	PUNCT
fumecheng-7012	606	12	j.	j.	PROPN
fumecheng-7012	606	13	,	,	PUNCT
fumecheng-7012	606	14	2012	2012	NUM
fumecheng-7012	606	15	,	,	PUNCT
fumecheng-7012	606	16	an	an	DET
fumecheng-7012	606	17	explicit	explicit	ADJ
fumecheng-7012	606	18	solution	solution	NOUN
fumecheng-7012	606	19	for	for	ADP
fumecheng-7012	606	20	bending	bending	NOUN
fumecheng-7012	606	21	of	of	ADP
fumecheng-7012	606	22	nanowires	nanowire	NOUN
fumecheng-7012	606	23	lying	lie	VERB
fumecheng-7012	606	24	on	on	ADP
fumecheng-7012	606	25	winkler	winkler	NOUN
fumecheng-7012	606	26	-	-	PUNCT
fumecheng-7012	606	27	pasternak	pasternak	NOUN
fumecheng-7012	606	28	elastic	elastic	ADJ
fumecheng-7012	606	29	substrate	substrate	NOUN
fumecheng-7012	606	30	medium	medium	NOUN
fumecheng-7012	606	31	based	base	VERB
fumecheng-7012	606	32	on	on	ADP
fumecheng-7012	606	33	the	the	DET
fumecheng-7012	606	34	euler	euler	PROPN
fumecheng-7012	606	35	-	-	PUNCT
fumecheng-7012	606	36	bernoulli	bernoulli	PROPN
fumecheng-7012	606	37	beam	beam	NOUN
fumecheng-7012	606	38	theory	theory	NOUN
fumecheng-7012	606	39	,	,	PUNCT
fumecheng-7012	606	40	international	international	ADJ
fumecheng-7012	606	41	journal	journal	NOUN
fumecheng-7012	606	42	of	of	ADP
fumecheng-7012	606	43	engineering	engineering	NOUN
fumecheng-7012	606	44	science	science	NOUN
fumecheng-7012	606	45	,	,	PUNCT
fumecheng-7012	606	46	52	52	NUM
fumecheng-7012	606	47	,	,	PUNCT
fumecheng-7012	606	48	pp	pp	ADJ
fumecheng-7012	606	49	.	.	PUNCT
fumecheng-7012	607	1	115	115	NUM
fumecheng-7012	607	2	-	-	SYM
fumecheng-7012	607	3	128	128	NUM
fumecheng-7012	607	4	.	.	PUNCT