id	sid	tid	token	lemma	pos
fis-1249	1	1	microsoft	microsoft	PROPN
fis-1249	1	2	word	word	PROPN
fis-1249	1	3	numero_29_art_6	numero_29_art_6	PROPN
fis-1249	1	4	c.	c.	PROPN
fis-1249	1	5	maruccio	maruccio	PROPN
fis-1249	1	6	et	et	PROPN
fis-1249	1	7	alii	alii	PROPN
fis-1249	1	8	,	,	PUNCT
fis-1249	1	9	frattura	frattura	PROPN
fis-1249	1	10	ed	ed	PROPN
fis-1249	1	11	integrità	integrità	PROPN
fis-1249	1	12	strutturale	strutturale	PROPN
fis-1249	1	13	,	,	PUNCT
fis-1249	1	14	29	29	NUM
fis-1249	1	15	(	(	PUNCT
fis-1249	1	16	2014	2014	NUM
fis-1249	1	17	)	)	PUNCT
fis-1249	1	18	49	49	NUM
fis-1249	1	19	-	-	SYM
fis-1249	1	20	60	60	NUM
fis-1249	1	21	;	;	PUNCT
fis-1249	1	22	doi	doi	NOUN
fis-1249	1	23	:	:	PUNCT
fis-1249	1	24	10.3221	10.3221	NUM
fis-1249	1	25	/	/	SYM
fis-1249	1	26	igf	igf	PROPN
fis-1249	1	27	-	-	PUNCT
fis-1249	1	28	esis.29.06	esis.29.06	PROPN
fis-1249	1	29	49	49	NUM
fis-1249	1	30	focussed	focusse	VERB
fis-1249	1	31	on	on	ADP
fis-1249	1	32	:	:	PUNCT
fis-1249	1	33	computational	computational	ADJ
fis-1249	1	34	mechanics	mechanic	NOUN
fis-1249	1	35	and	and	CCONJ
fis-1249	1	36	mechanics	mechanic	NOUN
fis-1249	1	37	of	of	ADP
fis-1249	1	38	materials	material	NOUN
fis-1249	1	39	in	in	ADP
fis-1249	1	40	italy	italy	PROPN
fis-1249	1	41	numerical	numerical	PROPN
fis-1249	1	42	homogenization	homogenization	NOUN
fis-1249	1	43	of	of	ADP
fis-1249	1	44	piezoelectric	piezoelectric	NOUN
fis-1249	1	45	textiles	textile	NOUN
fis-1249	1	46	with	with	ADP
fis-1249	1	47	electrospun	electrospun	NOUN
fis-1249	1	48	fibers	fiber	NOUN
fis-1249	1	49	for	for	ADP
fis-1249	1	50	energy	energy	NOUN
fis-1249	1	51	harvesting	harvesting	NOUN
fis-1249	1	52	c.	c.	PROPN
fis-1249	1	53	maruccio	maruccio	PROPN
fis-1249	1	54	università	università	PROPN
fis-1249	1	55	del	del	PROPN
fis-1249	1	56	salento	salento	PROPN
fis-1249	1	57	claudio.maruccio@unisalento.it	claudio.maruccio@unisalento.it	PROPN
fis-1249	1	58	l.	l.	PROPN
fis-1249	1	59	de	de	PROPN
fis-1249	1	60	lorenzis	lorenzis	PROPN
fis-1249	1	61	technische	technische	PROPN
fis-1249	1	62	universität	universität	PROPN
fis-1249	1	63	braunschweig	braunschweig	NOUN
fis-1249	1	64	l.delorenzis@tu-braunschweig.de	l.delorenzis@tu-braunschweig.de	NUM
fis-1249	1	65	abstract	abstract	ADJ
fis-1249	1	66	.	.	PUNCT
fis-1249	2	1	piezoelectric	piezoelectric	ADJ
fis-1249	2	2	effects	effect	NOUN
fis-1249	2	3	are	be	AUX
fis-1249	2	4	exploited	exploit	VERB
fis-1249	2	5	in	in	ADP
fis-1249	2	6	an	an	DET
fis-1249	2	7	increasing	increase	VERB
fis-1249	2	8	number	number	NOUN
fis-1249	2	9	of	of	ADP
fis-1249	2	10	microand	microand	NOUN
fis-1249	2	11	nano	nano	NOUN
fis-1249	2	12	-	-	PUNCT
fis-1249	2	13	electro	electro	ADJ
fis-1249	2	14	-	-	PUNCT
fis-1249	2	15	mechanical	mechanical	ADJ
fis-1249	2	16	systems	system	NOUN
fis-1249	2	17	.	.	PUNCT
fis-1249	3	1	in	in	ADP
fis-1249	3	2	particular	particular	ADJ
fis-1249	3	3	,	,	PUNCT
fis-1249	3	4	energy	energy	NOUN
fis-1249	3	5	harvesting	harvesting	NOUN
fis-1249	3	6	devices	device	NOUN
fis-1249	3	7	convert	convert	VERB
fis-1249	3	8	ambient	ambient	ADJ
fis-1249	3	9	energy	energy	NOUN
fis-1249	3	10	(	(	PUNCT
fis-1249	3	11	i.e.	i.e.	X
fis-1249	3	12	mechanical	mechanical	ADJ
fis-1249	3	13	pressure	pressure	NOUN
fis-1249	3	14	)	)	PUNCT
fis-1249	3	15	into	into	ADP
fis-1249	3	16	electrical	electrical	ADJ
fis-1249	3	17	energy	energy	NOUN
fis-1249	3	18	and	and	CCONJ
fis-1249	3	19	their	their	PRON
fis-1249	3	20	study	study	NOUN
fis-1249	3	21	is	be	AUX
fis-1249	3	22	nowadays	nowadays	ADV
fis-1249	3	23	a	a	DET
fis-1249	3	24	very	very	ADV
fis-1249	3	25	important	important	ADJ
fis-1249	3	26	and	and	CCONJ
fis-1249	3	27	challenging	challenging	ADJ
fis-1249	3	28	field	field	NOUN
fis-1249	3	29	of	of	ADP
fis-1249	3	30	research	research	NOUN
fis-1249	3	31	.	.	PUNCT
fis-1249	4	1	in	in	ADP
fis-1249	4	2	this	this	DET
fis-1249	4	3	paper	paper	NOUN
fis-1249	4	4	,	,	PUNCT
fis-1249	4	5	the	the	DET
fis-1249	4	6	attention	attention	NOUN
fis-1249	4	7	is	be	AUX
fis-1249	4	8	focused	focus	VERB
fis-1249	4	9	on	on	ADP
fis-1249	4	10	piezoelectric	piezoelectric	ADJ
fis-1249	4	11	textiles	textile	NOUN
fis-1249	4	12	.	.	PUNCT
fis-1249	5	1	due	due	ADP
fis-1249	5	2	to	to	ADP
fis-1249	5	3	the	the	DET
fis-1249	5	4	importance	importance	NOUN
fis-1249	5	5	of	of	ADP
fis-1249	5	6	computational	computational	ADJ
fis-1249	5	7	modeling	modeling	NOUN
fis-1249	5	8	to	to	PART
fis-1249	5	9	understand	understand	VERB
fis-1249	5	10	the	the	DET
fis-1249	5	11	influence	influence	NOUN
fis-1249	5	12	that	that	SCONJ
fis-1249	5	13	micro	micro	ADJ
fis-1249	5	14	-	-	NOUN
fis-1249	5	15	scale	scale	ADJ
fis-1249	5	16	geometry	geometry	NOUN
fis-1249	5	17	and	and	CCONJ
fis-1249	5	18	constitutive	constitutive	ADJ
fis-1249	5	19	variables	variable	NOUN
fis-1249	5	20	have	have	VERB
fis-1249	5	21	on	on	ADP
fis-1249	5	22	the	the	DET
fis-1249	5	23	macroscopic	macroscopic	ADJ
fis-1249	5	24	behavior	behavior	NOUN
fis-1249	5	25	,	,	PUNCT
fis-1249	5	26	a	a	DET
fis-1249	5	27	homogenization	homogenization	NOUN
fis-1249	5	28	strategy	strategy	NOUN
fis-1249	5	29	is	be	AUX
fis-1249	5	30	developed	develop	VERB
fis-1249	5	31	.	.	PUNCT
fis-1249	6	1	the	the	DET
fis-1249	6	2	macroscopic	macroscopic	ADJ
fis-1249	6	3	structure	structure	NOUN
fis-1249	6	4	behaviour	behaviour	NOUN
fis-1249	6	5	is	be	AUX
fis-1249	6	6	obtained	obtain	VERB
fis-1249	6	7	defining	define	VERB
fis-1249	6	8	a	a	DET
fis-1249	6	9	reference	reference	NOUN
fis-1249	6	10	volume	volume	NOUN
fis-1249	6	11	element	element	NOUN
fis-1249	6	12	(	(	PUNCT
fis-1249	6	13	rve	rve	PROPN
fis-1249	6	14	)	)	PUNCT
fis-1249	6	15	at	at	ADP
fis-1249	6	16	the	the	DET
fis-1249	6	17	micro	micro	NOUN
fis-1249	6	18	-	-	NOUN
fis-1249	6	19	scale	scale	NOUN
fis-1249	6	20	.	.	PUNCT
fis-1249	7	1	the	the	DET
fis-1249	7	2	geometry	geometry	NOUN
fis-1249	7	3	of	of	ADP
fis-1249	7	4	the	the	DET
fis-1249	7	5	rve	rve	PROPN
fis-1249	7	6	is	be	AUX
fis-1249	7	7	based	base	VERB
fis-1249	7	8	on	on	ADP
fis-1249	7	9	the	the	DET
fis-1249	7	10	microstructural	microstructural	ADJ
fis-1249	7	11	properties	property	NOUN
fis-1249	7	12	of	of	ADP
fis-1249	7	13	the	the	DET
fis-1249	7	14	material	material	NOUN
fis-1249	7	15	under	under	ADP
fis-1249	7	16	consideration	consideration	NOUN
fis-1249	7	17	and	and	CCONJ
fis-1249	7	18	consists	consist	VERB
fis-1249	7	19	in	in	ADP
fis-1249	7	20	piezoelectric	piezoelectric	ADJ
fis-1249	7	21	polymeric	polymeric	ADJ
fis-1249	7	22	nano	nano	NOUN
fis-1249	7	23	-	-	PUNCT
fis-1249	7	24	fibers	fiber	NOUN
fis-1249	7	25	subjected	subject	VERB
fis-1249	7	26	to	to	ADP
fis-1249	7	27	electromechanical	electromechanical	ADJ
fis-1249	7	28	contact	contact	NOUN
fis-1249	7	29	constraints	constraint	NOUN
fis-1249	7	30	.	.	PUNCT
fis-1249	8	1	this	this	DET
fis-1249	8	2	paper	paper	NOUN
fis-1249	8	3	outlines	outline	VERB
fis-1249	8	4	theory	theory	NOUN
fis-1249	8	5	and	and	CCONJ
fis-1249	8	6	numerical	numerical	ADJ
fis-1249	8	7	implementation	implementation	NOUN
fis-1249	8	8	issues	issue	NOUN
fis-1249	8	9	for	for	ADP
fis-1249	8	10	the	the	DET
fis-1249	8	11	homogenization	homogenization	NOUN
fis-1249	8	12	procedure	procedure	NOUN
fis-1249	8	13	.	.	PUNCT
fis-1249	9	1	moreover	moreover	ADV
fis-1249	9	2	,	,	PUNCT
fis-1249	9	3	within	within	ADP
fis-1249	9	4	this	this	DET
fis-1249	9	5	approach	approach	NOUN
fis-1249	9	6	the	the	DET
fis-1249	9	7	average	average	ADJ
fis-1249	9	8	response	response	NOUN
fis-1249	9	9	resulting	result	VERB
fis-1249	9	10	from	from	ADP
fis-1249	9	11	the	the	DET
fis-1249	9	12	analysis	analysis	NOUN
fis-1249	9	13	of	of	ADP
fis-1249	9	14	different	different	ADJ
fis-1249	9	15	fiber	fiber	NOUN
fis-1249	9	16	configurations	configuration	NOUN
fis-1249	9	17	at	at	ADP
fis-1249	9	18	the	the	DET
fis-1249	9	19	microscale	microscale	NOUN
fis-1249	9	20	is	be	AUX
fis-1249	9	21	determined	determine	VERB
fis-1249	9	22	providing	provide	VERB
fis-1249	9	23	a	a	DET
fis-1249	9	24	multiphysics	multiphysic	NOUN
fis-1249	9	25	constitutive	constitutive	ADJ
fis-1249	9	26	model	model	NOUN
fis-1249	9	27	for	for	ADP
fis-1249	9	28	the	the	DET
fis-1249	9	29	macro	macro	NOUN
fis-1249	9	30	-	-	NOUN
fis-1249	9	31	scale	scale	NOUN
fis-1249	9	32	.	.	PUNCT
fis-1249	10	1	keywords	keyword	NOUN
fis-1249	10	2	.	.	PUNCT
fis-1249	11	1	electromechanical	electromechanical	ADJ
fis-1249	11	2	coupling	coupling	NOUN
fis-1249	11	3	;	;	PUNCT
fis-1249	11	4	multiphysics	multiphysics	PROPN
fis-1249	11	5	modeling	modeling	NOUN
fis-1249	11	6	;	;	PUNCT
fis-1249	11	7	multiscale	multiscale	ADJ
fis-1249	11	8	modeling	modeling	NOUN
fis-1249	11	9	;	;	PUNCT
fis-1249	11	10	shell	shell	ADJ
fis-1249	11	11	elements	element	NOUN
fis-1249	11	12	;	;	PUNCT
fis-1249	11	13	energy	energy	NOUN
fis-1249	11	14	harvesting	harvesting	NOUN
fis-1249	11	15	.	.	PUNCT
fis-1249	12	1	introduction	introduction	NOUN
fis-1249	12	2	lectrospinning	lectrospinne	VERB
fis-1249	12	3	is	be	AUX
fis-1249	12	4	a	a	DET
fis-1249	12	5	simple	simple	ADJ
fis-1249	12	6	and	and	CCONJ
fis-1249	12	7	versatile	versatile	ADJ
fis-1249	12	8	method	method	NOUN
fis-1249	12	9	for	for	ADP
fis-1249	12	10	generating	generate	VERB
fis-1249	12	11	ultrathin	ultrathin	ADJ
fis-1249	12	12	fibers	fiber	NOUN
fis-1249	12	13	from	from	ADP
fis-1249	12	14	a	a	DET
fis-1249	12	15	rich	rich	ADJ
fis-1249	12	16	variety	variety	NOUN
fis-1249	12	17	of	of	ADP
fis-1249	12	18	materials	material	NOUN
fis-1249	12	19	that	that	PRON
fis-1249	12	20	include	include	VERB
fis-1249	12	21	polymers	polymer	NOUN
fis-1249	12	22	,	,	PUNCT
fis-1249	12	23	composites	composite	NOUN
fis-1249	12	24	and	and	CCONJ
fis-1249	12	25	ceramics	ceramic	NOUN
fis-1249	12	26	[	[	X
fis-1249	12	27	1	1	NUM
fis-1249	12	28	]	]	PUNCT
fis-1249	12	29	.	.	PUNCT
fis-1249	13	1	this	this	DET
fis-1249	13	2	non	non	ADJ
fis-1249	13	3	-	-	ADJ
fis-1249	13	4	mechanical	mechanical	ADJ
fis-1249	13	5	,	,	PUNCT
fis-1249	13	6	electrostatic	electrostatic	ADJ
fis-1249	13	7	technique	technique	NOUN
fis-1249	13	8	involves	involve	VERB
fis-1249	13	9	the	the	DET
fis-1249	13	10	use	use	NOUN
fis-1249	13	11	of	of	ADP
fis-1249	13	12	a	a	DET
fis-1249	13	13	high	high	ADJ
fis-1249	13	14	voltage	voltage	NOUN
fis-1249	13	15	electrostatic	electrostatic	ADJ
fis-1249	13	16	field	field	NOUN
fis-1249	13	17	to	to	PART
fis-1249	13	18	charge	charge	VERB
fis-1249	13	19	the	the	DET
fis-1249	13	20	surface	surface	NOUN
fis-1249	13	21	of	of	ADP
fis-1249	13	22	a	a	DET
fis-1249	13	23	polymer	polymer	NOUN
fis-1249	13	24	solution	solution	NOUN
fis-1249	13	25	droplet	droplet	ADJ
fis-1249	13	26	and	and	CCONJ
fis-1249	13	27	thus	thus	ADV
fis-1249	13	28	to	to	PART
fis-1249	13	29	induce	induce	VERB
fis-1249	13	30	the	the	DET
fis-1249	13	31	ejection	ejection	NOUN
fis-1249	13	32	of	of	ADP
fis-1249	13	33	a	a	DET
fis-1249	13	34	liquid	liquid	ADJ
fis-1249	13	35	jet	jet	NOUN
fis-1249	13	36	through	through	ADP
fis-1249	13	37	a	a	DET
fis-1249	13	38	spinneret	spinneret	NOUN
fis-1249	13	39	.	.	PUNCT
fis-1249	14	1	nowadays	nowadays	ADV
fis-1249	14	2	,	,	PUNCT
fis-1249	14	3	nanofiber	nanofiber	NOUN
fis-1249	14	4	technology	technology	NOUN
fis-1249	14	5	is	be	AUX
fis-1249	14	6	opening	open	VERB
fis-1249	14	7	up	up	ADP
fis-1249	14	8	new	new	ADJ
fis-1249	14	9	scenarios	scenario	NOUN
fis-1249	14	10	in	in	ADP
fis-1249	14	11	several	several	ADJ
fis-1249	14	12	industrial	industrial	ADJ
fis-1249	14	13	fields	field	NOUN
fis-1249	14	14	.	.	PUNCT
fis-1249	15	1	applications	application	NOUN
fis-1249	15	2	range	range	VERB
fis-1249	15	3	from	from	ADP
fis-1249	15	4	energy	energy	NOUN
fis-1249	15	5	harvesting	harvesting	NOUN
fis-1249	15	6	technologies	technology	NOUN
fis-1249	15	7	[	[	X
fis-1249	15	8	2	2	NUM
fis-1249	15	9	,	,	PUNCT
fis-1249	15	10	3	3	NUM
fis-1249	15	11	]	]	PUNCT
fis-1249	15	12	to	to	ADP
fis-1249	15	13	tissue	tissue	NOUN
fis-1249	15	14	and	and	CCONJ
fis-1249	15	15	biomedical	biomedical	ADJ
fis-1249	15	16	engineering	engineering	NOUN
fis-1249	15	17	,	,	PUNCT
fis-1249	15	18	aerospace	aerospace	NOUN
fis-1249	15	19	materials	material	NOUN
fis-1249	15	20	,	,	PUNCT
fis-1249	15	21	and	and	CCONJ
fis-1249	15	22	device	device	NOUN
fis-1249	15	23	integration	integration	NOUN
fis-1249	15	24	with	with	ADP
fis-1249	15	25	architectural	architectural	ADJ
fis-1249	15	26	or	or	CCONJ
fis-1249	15	27	design	design	NOUN
fis-1249	15	28	components	component	NOUN
fis-1249	15	29	.	.	PUNCT
fis-1249	16	1	nanofibers	nanofiber	NOUN
fis-1249	16	2	can	can	AUX
fis-1249	16	3	increase	increase	VERB
fis-1249	16	4	the	the	DET
fis-1249	16	5	performance	performance	NOUN
fis-1249	16	6	of	of	ADP
fis-1249	16	7	traditional	traditional	ADJ
fis-1249	16	8	materials	material	NOUN
fis-1249	16	9	and	and	CCONJ
fis-1249	16	10	allow	allow	VERB
fis-1249	16	11	engineering	engineering	NOUN
fis-1249	16	12	optimization	optimization	NOUN
fis-1249	16	13	of	of	ADP
fis-1249	16	14	existing	exist	VERB
fis-1249	16	15	textiles	textile	NOUN
fis-1249	16	16	and	and	CCONJ
fis-1249	16	17	fabrics	fabric	NOUN
fis-1249	16	18	and	and	CCONJ
fis-1249	16	19	even	even	ADV
fis-1249	16	20	development	development	NOUN
fis-1249	16	21	of	of	ADP
fis-1249	16	22	new	new	ADJ
fis-1249	16	23	e	e	PROPN
fis-1249	16	24	c.	c.	PROPN
fis-1249	16	25	maruccio	maruccio	PROPN
fis-1249	16	26	et	et	PROPN
fis-1249	16	27	alii	alii	PROPN
fis-1249	16	28	,	,	PUNCT
fis-1249	16	29	frattura	frattura	PROPN
fis-1249	16	30	ed	ed	PROPN
fis-1249	16	31	integrità	integrità	PROPN
fis-1249	16	32	strutturale	strutturale	PROPN
fis-1249	16	33	,	,	PUNCT
fis-1249	16	34	29	29	NUM
fis-1249	16	35	(	(	PUNCT
fis-1249	16	36	2014	2014	NUM
fis-1249	16	37	)	)	PUNCT
fis-1249	16	38	49	49	NUM
fis-1249	16	39	-	-	SYM
fis-1249	16	40	60	60	NUM
fis-1249	16	41	;	;	PUNCT
fis-1249	16	42	doi	doi	NOUN
fis-1249	16	43	:	:	PUNCT
fis-1249	16	44	10.3221	10.3221	NUM
fis-1249	16	45	/	/	SYM
fis-1249	16	46	igf	igf	PROPN
fis-1249	16	47	-	-	PUNCT
fis-1249	16	48	esis.29.06	esis.29.06	NOUN
fis-1249	16	49	50	50	NUM
fis-1249	16	50	materials	material	NOUN
fis-1249	16	51	.	.	PUNCT
fis-1249	17	1	from	from	ADP
fis-1249	17	2	a	a	DET
fis-1249	17	3	commercial	commercial	ADJ
fis-1249	17	4	perspective	perspective	NOUN
fis-1249	17	5	the	the	DET
fis-1249	17	6	term	term	NOUN
fis-1249	17	7	"	"	PUNCT
fis-1249	17	8	nano	nano	NOUN
fis-1249	17	9	"	"	PUNCT
fis-1249	17	10	describes	describe	VERB
fis-1249	17	11	a	a	DET
fis-1249	17	12	diameter	diameter	NOUN
fis-1249	17	13	of	of	ADP
fis-1249	17	14	the	the	DET
fis-1249	17	15	fiber	fiber	NOUN
fis-1249	17	16	below	below	ADP
fis-1249	17	17	one	one	NUM
fis-1249	17	18	micron	micron	NOUN
fis-1249	17	19	.	.	PUNCT
fis-1249	18	1	however	however	ADV
fis-1249	18	2	,	,	PUNCT
fis-1249	18	3	the	the	DET
fis-1249	18	4	most	most	ADV
fis-1249	18	5	important	important	ADJ
fis-1249	18	6	properties	property	NOUN
fis-1249	18	7	of	of	ADP
fis-1249	18	8	these	these	DET
fis-1249	18	9	materials	material	NOUN
fis-1249	18	10	tend	tend	VERB
fis-1249	18	11	to	to	PART
fis-1249	18	12	manifest	manifest	VERB
fis-1249	18	13	at	at	ADP
fis-1249	18	14	a	a	DET
fis-1249	18	15	scale	scale	NOUN
fis-1249	18	16	below	below	ADP
fis-1249	18	17	500	500	NUM
fis-1249	18	18	nanometers	nanometer	NOUN
fis-1249	18	19	.	.	PUNCT
fis-1249	19	1	materials	material	NOUN
fis-1249	19	2	characterized	characterize	VERB
fis-1249	19	3	by	by	ADP
fis-1249	19	4	nanofibers	nanofiber	NOUN
fis-1249	19	5	at	at	ADP
fis-1249	19	6	the	the	DET
fis-1249	19	7	microlevel	microlevel	ADJ
fis-1249	19	8	show	show	VERB
fis-1249	19	9	high	high	ADJ
fis-1249	19	10	surface	surface	NOUN
fis-1249	19	11	area	area	NOUN
fis-1249	19	12	and	and	CCONJ
fis-1249	19	13	superior	superior	ADJ
fis-1249	19	14	mechanical	mechanical	ADJ
fis-1249	19	15	,	,	PUNCT
fis-1249	19	16	electric	electric	ADJ
fis-1249	19	17	,	,	PUNCT
fis-1249	19	18	magnetic	magnetic	ADJ
fis-1249	19	19	properties	property	NOUN
fis-1249	19	20	[	[	X
fis-1249	19	21	4	4	NUM
fis-1249	19	22	]	]	PUNCT
fis-1249	19	23	.	.	PUNCT
fis-1249	20	1	in	in	ADP
fis-1249	20	2	this	this	DET
fis-1249	20	3	framework	framework	NOUN
fis-1249	20	4	,	,	PUNCT
fis-1249	20	5	polyvinylidene	polyvinylidene	NOUN
fis-1249	20	6	fluoride	fluoride	NOUN
fis-1249	20	7	(	(	PUNCT
fis-1249	20	8	pvdf	pvdf	PROPN
fis-1249	20	9	)	)	PUNCT
fis-1249	20	10	is	be	AUX
fis-1249	20	11	a	a	DET
fis-1249	20	12	fluoropolymer	fluoropolymer	NOUN
fis-1249	20	13	known	know	VERB
fis-1249	20	14	for	for	ADP
fis-1249	20	15	its	its	PRON
fis-1249	20	16	strength	strength	NOUN
fis-1249	20	17	,	,	PUNCT
fis-1249	20	18	chemical	chemical	NOUN
fis-1249	20	19	resistance	resistance	NOUN
fis-1249	20	20	,	,	PUNCT
fis-1249	20	21	thermal	thermal	ADJ
fis-1249	20	22	resistance	resistance	NOUN
fis-1249	20	23	and	and	CCONJ
fis-1249	20	24	piezoelectric	piezoelectric	NOUN
fis-1249	20	25	properties	property	NOUN
fis-1249	20	26	.	.	PUNCT
fis-1249	21	1	in	in	ADP
fis-1249	21	2	particular	particular	ADJ
fis-1249	21	3	pvdf	pvdf	PROPN
fis-1249	21	4	nanofibers	nanofiber	NOUN
fis-1249	21	5	are	be	AUX
fis-1249	21	6	suitable	suitable	ADJ
fis-1249	21	7	for	for	ADP
fis-1249	21	8	numerous	numerous	ADJ
fis-1249	21	9	applications	application	NOUN
fis-1249	21	10	such	such	ADJ
fis-1249	21	11	as	as	ADP
fis-1249	21	12	filtration	filtration	NOUN
fis-1249	21	13	,	,	PUNCT
fis-1249	21	14	coating	coating	NOUN
fis-1249	21	15	,	,	PUNCT
fis-1249	21	16	sensors	sensor	NOUN
fis-1249	21	17	,	,	PUNCT
fis-1249	21	18	and	and	CCONJ
fis-1249	21	19	energy	energy	NOUN
fis-1249	21	20	generators	generator	NOUN
fis-1249	21	21	.	.	PUNCT
fis-1249	22	1	from	from	ADP
fis-1249	22	2	the	the	DET
fis-1249	22	3	chemical	chemical	NOUN
fis-1249	22	4	point	point	NOUN
fis-1249	22	5	of	of	ADP
fis-1249	22	6	view	view	NOUN
fis-1249	22	7	,	,	PUNCT
fis-1249	22	8	the	the	DET
fis-1249	22	9	pvdf	pvdf	PROPN
fis-1249	22	10	material	material	NOUN
fis-1249	22	11	is	be	AUX
fis-1249	22	12	built	build	VERB
fis-1249	22	13	joining	join	VERB
fis-1249	22	14	chains	chain	NOUN
fis-1249	22	15	of	of	ADP
fis-1249	22	16	ch2cf2	ch2cf2	NOUN
fis-1249	22	17	,	,	PUNCT
fis-1249	22	18	where	where	SCONJ
fis-1249	22	19	c	c	PROPN
fis-1249	22	20	indicates	indicate	VERB
fis-1249	22	21	the	the	DET
fis-1249	22	22	carbon	carbon	NOUN
fis-1249	22	23	,	,	PUNCT
fis-1249	22	24	h	h	NOUN
fis-1249	22	25	the	the	DET
fis-1249	22	26	hydrogen	hydrogen	NOUN
fis-1249	22	27	and	and	CCONJ
fis-1249	22	28	f	f	PROPN
fis-1249	22	29	the	the	DET
fis-1249	22	30	fluorine	fluorine	NOUN
fis-1249	22	31	atoms	atom	NOUN
fis-1249	22	32	.	.	PUNCT
fis-1249	23	1	it	it	PRON
fis-1249	23	2	is	be	AUX
fis-1249	23	3	produced	produce	VERB
fis-1249	23	4	in	in	ADP
fis-1249	23	5	large	large	ADJ
fis-1249	23	6	thin	thin	ADJ
fis-1249	23	7	clear	clear	ADJ
fis-1249	23	8	sheets	sheet	NOUN
fis-1249	23	9	and	and	CCONJ
fis-1249	23	10	through	through	ADP
fis-1249	23	11	a	a	DET
fis-1249	23	12	stretching	stretch	VERB
fis-1249	23	13	and	and	CCONJ
fis-1249	23	14	poling	poling	NOUN
fis-1249	23	15	process	process	NOUN
fis-1249	23	16	it	it	PRON
fis-1249	23	17	is	be	AUX
fis-1249	23	18	possible	possible	ADJ
fis-1249	23	19	to	to	PART
fis-1249	23	20	give	give	VERB
fis-1249	23	21	piezoelectric	piezoelectric	ADJ
fis-1249	23	22	properties	property	NOUN
fis-1249	23	23	to	to	ADP
fis-1249	23	24	the	the	DET
fis-1249	23	25	resulting	result	VERB
fis-1249	23	26	thin	thin	ADJ
fis-1249	23	27	layer	layer	NOUN
fis-1249	23	28	.	.	PUNCT
fis-1249	24	1	the	the	DET
fis-1249	24	2	stretch	stretch	ADJ
fis-1249	24	3	direction	direction	NOUN
fis-1249	24	4	is	be	AUX
fis-1249	24	5	the	the	DET
fis-1249	24	6	direction	direction	NOUN
fis-1249	24	7	along	along	ADP
fis-1249	24	8	the	the	DET
fis-1249	24	9	sheet	sheet	NOUN
fis-1249	24	10	in	in	ADP
fis-1249	24	11	which	which	PRON
fis-1249	24	12	most	most	ADJ
fis-1249	24	13	of	of	ADP
fis-1249	24	14	the	the	DET
fis-1249	24	15	carbon	carbon	NOUN
fis-1249	24	16	chains	chain	NOUN
fis-1249	24	17	run	run	VERB
fis-1249	24	18	.	.	PUNCT
fis-1249	25	1	the	the	DET
fis-1249	25	2	hydrogen	hydrogen	NOUN
fis-1249	25	3	atoms	atom	NOUN
fis-1249	25	4	,	,	PUNCT
fis-1249	25	5	which	which	PRON
fis-1249	25	6	have	have	VERB
fis-1249	25	7	a	a	DET
fis-1249	25	8	net	net	ADJ
fis-1249	25	9	positive	positive	ADJ
fis-1249	25	10	charge	charge	NOUN
fis-1249	25	11	,	,	PUNCT
fis-1249	25	12	and	and	CCONJ
fis-1249	25	13	the	the	DET
fis-1249	25	14	fluorine	fluorine	NOUN
fis-1249	25	15	atoms	atom	NOUN
fis-1249	25	16	,	,	PUNCT
fis-1249	25	17	which	which	PRON
fis-1249	25	18	have	have	VERB
fis-1249	25	19	a	a	DET
fis-1249	25	20	net	net	ADJ
fis-1249	25	21	negative	negative	ADJ
fis-1249	25	22	charge	charge	NOUN
fis-1249	25	23	,	,	PUNCT
fis-1249	25	24	end	end	VERB
fis-1249	25	25	up	up	ADP
fis-1249	25	26	on	on	ADP
fis-1249	25	27	opposite	opposite	ADJ
fis-1249	25	28	sides	side	NOUN
fis-1249	25	29	of	of	ADP
fis-1249	25	30	the	the	DET
fis-1249	25	31	sheet	sheet	NOUN
fis-1249	25	32	.	.	PUNCT
fis-1249	26	1	this	this	PRON
fis-1249	26	2	creates	create	VERB
fis-1249	26	3	a	a	DET
fis-1249	26	4	pole	pole	NOUN
fis-1249	26	5	direction	direction	NOUN
fis-1249	26	6	that	that	PRON
fis-1249	26	7	is	be	AUX
fis-1249	26	8	either	either	CCONJ
fis-1249	26	9	oriented	orient	VERB
fis-1249	26	10	to	to	ADP
fis-1249	26	11	the	the	DET
fis-1249	26	12	top	top	NOUN
fis-1249	26	13	or	or	CCONJ
fis-1249	26	14	bottom	bottom	NOUN
fis-1249	26	15	of	of	ADP
fis-1249	26	16	the	the	DET
fis-1249	26	17	sheet	sheet	NOUN
fis-1249	26	18	.	.	PUNCT
fis-1249	27	1	when	when	SCONJ
fis-1249	27	2	an	an	DET
fis-1249	27	3	electric	electric	ADJ
fis-1249	27	4	field	field	NOUN
fis-1249	27	5	e	e	NOUN
fis-1249	27	6	is	be	AUX
fis-1249	27	7	applied	apply	VERB
fis-1249	27	8	across	across	ADP
fis-1249	27	9	the	the	DET
fis-1249	27	10	sheets	sheet	NOUN
fis-1249	27	11	,	,	PUNCT
fis-1249	27	12	they	they	PRON
fis-1249	27	13	either	either	CCONJ
fis-1249	27	14	contract	contract	VERB
fis-1249	27	15	in	in	ADP
fis-1249	27	16	thickness	thickness	NOUN
fis-1249	27	17	and	and	CCONJ
fis-1249	27	18	expand	expand	VERB
fis-1249	27	19	along	along	ADP
fis-1249	27	20	the	the	DET
fis-1249	27	21	stretch	stretch	ADJ
fis-1249	27	22	direction	direction	NOUN
fis-1249	27	23	or	or	CCONJ
fis-1249	27	24	expand	expand	VERB
fis-1249	27	25	in	in	ADP
fis-1249	27	26	thickness	thickness	NOUN
fis-1249	27	27	and	and	CCONJ
fis-1249	27	28	contract	contract	NOUN
fis-1249	27	29	along	along	ADP
fis-1249	27	30	the	the	DET
fis-1249	27	31	stretch	stretch	ADJ
fis-1249	27	32	direction	direction	NOUN
fis-1249	27	33	depending	depend	VERB
fis-1249	27	34	on	on	ADP
fis-1249	27	35	which	which	DET
fis-1249	27	36	way	way	NOUN
fis-1249	27	37	the	the	DET
fis-1249	27	38	field	field	NOUN
fis-1249	27	39	is	be	AUX
fis-1249	27	40	applied	apply	VERB
fis-1249	27	41	.	.	PUNCT
fis-1249	28	1	this	this	PRON
fis-1249	28	2	is	be	AUX
fis-1249	28	3	due	due	ADJ
fis-1249	28	4	to	to	ADP
fis-1249	28	5	the	the	DET
fis-1249	28	6	physical	physical	ADJ
fis-1249	28	7	nature	nature	NOUN
fis-1249	28	8	of	of	ADP
fis-1249	28	9	the	the	DET
fis-1249	28	10	positive	positive	ADJ
fis-1249	28	11	hydrogen	hydrogen	NOUN
fis-1249	28	12	atoms	atom	NOUN
fis-1249	28	13	attracted	attract	VERB
fis-1249	28	14	by	by	ADP
fis-1249	28	15	the	the	DET
fis-1249	28	16	negative	negative	ADJ
fis-1249	28	17	side	side	NOUN
fis-1249	28	18	of	of	ADP
fis-1249	28	19	the	the	DET
fis-1249	28	20	electric	electric	ADJ
fis-1249	28	21	field	field	NOUN
fis-1249	28	22	and	and	CCONJ
fis-1249	28	23	repelled	repel	VERB
fis-1249	28	24	by	by	ADP
fis-1249	28	25	the	the	DET
fis-1249	28	26	positive	positive	ADJ
fis-1249	28	27	side	side	NOUN
fis-1249	28	28	of	of	ADP
fis-1249	28	29	the	the	DET
fis-1249	28	30	electric	electric	ADJ
fis-1249	28	31	field	field	NOUN
fis-1249	28	32	.	.	PUNCT
fis-1249	29	1	scanning	scan	VERB
fis-1249	29	2	electron	electron	NOUN
fis-1249	29	3	micrographs	micrograph	NOUN
fis-1249	29	4	of	of	ADP
fis-1249	29	5	pvdf	pvdf	PROPN
fis-1249	29	6	layer	layer	NOUN
fis-1249	29	7	architectures	architecture	NOUN
fis-1249	29	8	at	at	ADP
fis-1249	29	9	the	the	DET
fis-1249	29	10	microscale	microscale	ADJ
fis-1249	29	11	show	show	NOUN
fis-1249	29	12	that	that	SCONJ
fis-1249	29	13	,	,	PUNCT
fis-1249	29	14	depending	depend	VERB
fis-1249	29	15	on	on	ADP
fis-1249	29	16	the	the	DET
fis-1249	29	17	process	process	NOUN
fis-1249	29	18	parameters	parameter	NOUN
fis-1249	29	19	,	,	PUNCT
fis-1249	29	20	the	the	DET
fis-1249	29	21	resulting	result	VERB
fis-1249	29	22	microstructure	microstructure	NOUN
fis-1249	29	23	can	can	AUX
fis-1249	29	24	range	range	VERB
fis-1249	29	25	from	from	ADP
fis-1249	29	26	a	a	DET
fis-1249	29	27	fully	fully	ADV
fis-1249	29	28	random	random	ADJ
fis-1249	29	29	geometry	geometry	NOUN
fis-1249	29	30	to	to	ADP
fis-1249	29	31	excellent	excellent	ADJ
fis-1249	29	32	mutual	mutual	ADJ
fis-1249	29	33	alignment	alignment	NOUN
fis-1249	29	34	of	of	ADP
fis-1249	29	35	fibers	fiber	NOUN
fis-1249	29	36	[	[	X
fis-1249	29	37	5	5	NUM
fis-1249	29	38	]	]	PUNCT
fis-1249	29	39	.	.	PUNCT
fis-1249	30	1	several	several	ADJ
fis-1249	30	2	analytical	analytical	ADJ
fis-1249	30	3	and	and	CCONJ
fis-1249	30	4	computational	computational	ADJ
fis-1249	30	5	multiscale	multiscale	NOUN
fis-1249	30	6	approaches	approach	NOUN
fis-1249	30	7	have	have	AUX
fis-1249	30	8	been	be	AUX
fis-1249	30	9	developed	develop	VERB
fis-1249	30	10	in	in	ADP
fis-1249	30	11	order	order	NOUN
fis-1249	30	12	to	to	PART
fis-1249	30	13	predict	predict	VERB
fis-1249	30	14	the	the	DET
fis-1249	30	15	macroscale	macroscale	ADJ
fis-1249	30	16	properties	property	NOUN
fis-1249	30	17	of	of	ADP
fis-1249	30	18	heterogeneous	heterogeneous	ADJ
fis-1249	30	19	materials	material	NOUN
fis-1249	30	20	at	at	ADP
fis-1249	30	21	the	the	DET
fis-1249	30	22	lower	low	ADJ
fis-1249	30	23	scale(s	scale(s	NOUN
fis-1249	30	24	)	)	PUNCT
fis-1249	30	25	,	,	PUNCT
fis-1249	31	1	[	[	X
fis-1249	31	2	6	6	NUM
fis-1249	31	3	-	-	SYM
fis-1249	31	4	11	11	NUM
fis-1249	31	5	]	]	PUNCT
fis-1249	31	6	.	.	PUNCT
fis-1249	32	1	although	although	SCONJ
fis-1249	32	2	most	most	ADJ
fis-1249	32	3	of	of	ADP
fis-1249	32	4	these	these	DET
fis-1249	32	5	efforts	effort	NOUN
fis-1249	32	6	have	have	AUX
fis-1249	32	7	been	be	AUX
fis-1249	32	8	devoted	devote	VERB
fis-1249	32	9	to	to	ADP
fis-1249	32	10	continuum	continuum	ADJ
fis-1249	32	11	mechanics	mechanic	NOUN
fis-1249	32	12	[	[	X
fis-1249	32	13	12	12	NUM
fis-1249	32	14	,	,	PUNCT
fis-1249	32	15	13	13	NUM
fis-1249	32	16	]	]	PUNCT
fis-1249	32	17	,	,	PUNCT
fis-1249	32	18	some	some	DET
fis-1249	32	19	applications	application	NOUN
fis-1249	32	20	to	to	ADP
fis-1249	32	21	multiphysics	multiphysics	NOUN
fis-1249	32	22	problems	problem	NOUN
fis-1249	32	23	are	be	AUX
fis-1249	32	24	also	also	ADV
fis-1249	32	25	available	available	ADJ
fis-1249	32	26	[	[	X
fis-1249	32	27	14	14	NUM
fis-1249	32	28	,	,	PUNCT
fis-1249	32	29	15	15	NUM
fis-1249	32	30	]	]	PUNCT
fis-1249	32	31	.	.	PUNCT
fis-1249	33	1	a	a	DET
fis-1249	33	2	few	few	ADJ
fis-1249	33	3	of	of	ADP
fis-1249	33	4	these	these	DET
fis-1249	33	5	concern	concern	NOUN
fis-1249	33	6	electromechanically	electromechanically	ADV
fis-1249	33	7	coupled	couple	VERB
fis-1249	33	8	problems	problem	NOUN
fis-1249	33	9	such	such	ADJ
fis-1249	33	10	as	as	ADP
fis-1249	33	11	in	in	ADP
fis-1249	33	12	the	the	DET
fis-1249	33	13	case	case	NOUN
fis-1249	33	14	of	of	ADP
fis-1249	33	15	piezoelectricity	piezoelectricity	NOUN
fis-1249	33	16	[	[	X
fis-1249	33	17	16	16	NUM
fis-1249	33	18	]	]	PUNCT
fis-1249	33	19	.	.	PUNCT
fis-1249	34	1	moreover	moreover	ADV
fis-1249	34	2	,	,	PUNCT
fis-1249	34	3	although	although	SCONJ
fis-1249	34	4	several	several	ADJ
fis-1249	34	5	macroscale	macroscale	NOUN
fis-1249	34	6	formulations	formulation	NOUN
fis-1249	34	7	were	be	AUX
fis-1249	34	8	developed	develop	VERB
fis-1249	34	9	for	for	ADP
fis-1249	34	10	piezoelectric	piezoelectric	ADJ
fis-1249	34	11	shell	shell	NOUN
fis-1249	34	12	elements	element	NOUN
fis-1249	34	13	[	[	X
fis-1249	34	14	17	17	NUM
fis-1249	34	15	-	-	SYM
fis-1249	34	16	19	19	NUM
fis-1249	34	17	]	]	PUNCT
fis-1249	34	18	,	,	PUNCT
fis-1249	34	19	computational	computational	ADJ
fis-1249	34	20	homogenization	homogenization	NOUN
fis-1249	34	21	of	of	ADP
fis-1249	34	22	shells	shell	NOUN
fis-1249	34	23	is	be	AUX
fis-1249	34	24	only	only	ADV
fis-1249	34	25	recently	recently	ADV
fis-1249	34	26	receiving	receive	VERB
fis-1249	34	27	major	major	ADJ
fis-1249	34	28	attention	attention	NOUN
fis-1249	34	29	[	[	X
fis-1249	34	30	20	20	NUM
fis-1249	34	31	,	,	PUNCT
fis-1249	34	32	21	21	NUM
fis-1249	34	33	]	]	PUNCT
fis-1249	34	34	.	.	PUNCT
fis-1249	35	1	to	to	ADP
fis-1249	35	2	the	the	DET
fis-1249	35	3	best	good	ADJ
fis-1249	35	4	of	of	ADP
fis-1249	35	5	our	our	PRON
fis-1249	35	6	knowledge	knowledge	NOUN
fis-1249	35	7	,	,	PUNCT
fis-1249	35	8	such	such	ADJ
fis-1249	35	9	approaches	approach	NOUN
fis-1249	35	10	have	have	AUX
fis-1249	35	11	not	not	PART
fis-1249	35	12	yet	yet	ADV
fis-1249	35	13	been	be	AUX
fis-1249	35	14	proposed	propose	VERB
fis-1249	35	15	for	for	ADP
fis-1249	35	16	piezoelectric	piezoelectric	ADJ
fis-1249	35	17	shells	shell	NOUN
fis-1249	35	18	.	.	PUNCT
fis-1249	36	1	in	in	ADP
fis-1249	36	2	this	this	DET
fis-1249	36	3	framework	framework	NOUN
fis-1249	36	4	,	,	PUNCT
fis-1249	36	5	the	the	DET
fis-1249	36	6	objective	objective	NOUN
fis-1249	36	7	of	of	ADP
fis-1249	36	8	this	this	DET
fis-1249	36	9	paper	paper	NOUN
fis-1249	36	10	is	be	AUX
fis-1249	36	11	to	to	PART
fis-1249	36	12	model	model	VERB
fis-1249	36	13	the	the	DET
fis-1249	36	14	behaviour	behaviour	NOUN
fis-1249	36	15	of	of	ADP
fis-1249	36	16	the	the	DET
fis-1249	36	17	aforementioned	aforementioned	ADJ
fis-1249	36	18	pvdf	pvdf	PROPN
fis-1249	36	19	sheet	sheet	NOUN
fis-1249	36	20	by	by	ADP
fis-1249	36	21	a	a	DET
fis-1249	36	22	multiscale	multiscale	ADJ
fis-1249	36	23	and	and	CCONJ
fis-1249	36	24	multiphysics	multiphysics	PROPN
fis-1249	36	25	approach	approach	NOUN
fis-1249	36	26	.	.	PUNCT
fis-1249	37	1	this	this	PRON
fis-1249	37	2	requires	require	VERB
fis-1249	37	3	the	the	DET
fis-1249	37	4	definition	definition	NOUN
fis-1249	37	5	of	of	ADP
fis-1249	37	6	a	a	DET
fis-1249	37	7	representative	representative	ADJ
fis-1249	37	8	volume	volume	NOUN
fis-1249	37	9	element	element	NOUN
fis-1249	37	10	(	(	PUNCT
fis-1249	37	11	rve	rve	PROPN
fis-1249	37	12	)	)	PUNCT
fis-1249	37	13	at	at	ADP
fis-1249	37	14	the	the	DET
fis-1249	37	15	microscale	microscale	NOUN
fis-1249	37	16	,	,	PUNCT
fis-1249	37	17	the	the	DET
fis-1249	37	18	formulation	formulation	NOUN
fis-1249	37	19	and	and	CCONJ
fis-1249	37	20	solution	solution	NOUN
fis-1249	37	21	of	of	ADP
fis-1249	37	22	a	a	DET
fis-1249	37	23	microscale	microscale	ADJ
fis-1249	37	24	boundary	boundary	ADJ
fis-1249	37	25	value	value	NOUN
fis-1249	37	26	problem	problem	NOUN
fis-1249	37	27	(	(	PUNCT
fis-1249	37	28	bvp	bvp	PROPN
fis-1249	37	29	)	)	PUNCT
fis-1249	37	30	,	,	PUNCT
fis-1249	37	31	and	and	CCONJ
fis-1249	37	32	the	the	DET
fis-1249	37	33	development	development	NOUN
fis-1249	37	34	of	of	ADP
fis-1249	37	35	a	a	DET
fis-1249	37	36	suitable	suitable	ADJ
fis-1249	37	37	micro	micro	ADJ
fis-1249	37	38	-	-	ADJ
fis-1249	37	39	macro	macro	ADJ
fis-1249	37	40	scale	scale	NOUN
fis-1249	37	41	transition	transition	NOUN
fis-1249	37	42	.	.	PUNCT
fis-1249	38	1	in	in	ADP
fis-1249	38	2	the	the	DET
fis-1249	38	3	first	first	ADJ
fis-1249	38	4	part	part	NOUN
fis-1249	38	5	of	of	ADP
fis-1249	38	6	the	the	DET
fis-1249	38	7	paper	paper	NOUN
fis-1249	38	8	a	a	DET
fis-1249	38	9	microscale	microscale	ADJ
fis-1249	38	10	rve	rve	NOUN
fis-1249	38	11	element	element	NOUN
fis-1249	38	12	is	be	AUX
fis-1249	38	13	defined	define	VERB
fis-1249	38	14	and	and	CCONJ
fis-1249	38	15	some	some	DET
fis-1249	38	16	details	detail	NOUN
fis-1249	38	17	about	about	ADP
fis-1249	38	18	the	the	DET
fis-1249	38	19	formulation	formulation	NOUN
fis-1249	38	20	of	of	ADP
fis-1249	38	21	suitable	suitable	ADJ
fis-1249	38	22	electromechanical	electromechanical	ADJ
fis-1249	38	23	contact	contact	NOUN
fis-1249	38	24	laws	law	NOUN
fis-1249	38	25	to	to	PART
fis-1249	38	26	describe	describe	VERB
fis-1249	38	27	the	the	DET
fis-1249	38	28	interaction	interaction	NOUN
fis-1249	38	29	among	among	ADP
fis-1249	38	30	the	the	DET
fis-1249	38	31	fibers	fiber	NOUN
fis-1249	38	32	are	be	AUX
fis-1249	38	33	provided	provide	VERB
fis-1249	38	34	.	.	PUNCT
fis-1249	39	1	the	the	DET
fis-1249	39	2	second	second	ADJ
fis-1249	39	3	part	part	NOUN
fis-1249	39	4	describes	describe	VERB
fis-1249	39	5	the	the	DET
fis-1249	39	6	kinematic	kinematic	ADJ
fis-1249	39	7	behaviour	behaviour	NOUN
fis-1249	39	8	of	of	ADP
fis-1249	39	9	a	a	DET
fis-1249	39	10	piezoelectric	piezoelectric	ADJ
fis-1249	39	11	shell	shell	NOUN
fis-1249	39	12	and	and	CCONJ
fis-1249	39	13	the	the	DET
fis-1249	39	14	multiscale	multiscale	ADJ
fis-1249	39	15	approach	approach	NOUN
fis-1249	39	16	.	.	PUNCT
fis-1249	40	1	finally	finally	ADV
fis-1249	40	2	,	,	PUNCT
fis-1249	40	3	based	base	VERB
fis-1249	40	4	on	on	ADP
fis-1249	40	5	the	the	DET
fis-1249	40	6	presented	present	VERB
fis-1249	40	7	framework	framework	NOUN
fis-1249	40	8	,	,	PUNCT
fis-1249	40	9	several	several	ADJ
fis-1249	40	10	rve	rve	PROPN
fis-1249	40	11	geometries	geometry	NOUN
fis-1249	40	12	are	be	AUX
fis-1249	40	13	analysed	analyse	VERB
fis-1249	40	14	and	and	CCONJ
fis-1249	40	15	the	the	DET
fis-1249	40	16	homogenized	homogenized	ADJ
fis-1249	40	17	coefficients	coefficient	NOUN
fis-1249	40	18	determined	determine	VERB
fis-1249	40	19	.	.	PUNCT
fis-1249	41	1	microscale	microscale	ADJ
fis-1249	41	2	formulation	formulation	NOUN
fis-1249	41	3	and	and	CCONJ
fis-1249	41	4	homogenization	homogenization	NOUN
fis-1249	41	5	procedure	procedure	NOUN
fis-1249	41	6	he	he	PRON
fis-1249	41	7	microscopic	microscopic	VERB
fis-1249	41	8	length	length	NOUN
fis-1249	41	9	scale	scale	NOUN
fis-1249	41	10	of	of	ADP
fis-1249	41	11	the	the	DET
fis-1249	41	12	rve	rve	PROPN
fis-1249	41	13	(	(	PUNCT
fis-1249	41	14	micrometers	micrometer	NOUN
fis-1249	41	15	)	)	PUNCT
fis-1249	41	16	is	be	AUX
fis-1249	41	17	several	several	ADJ
fis-1249	41	18	orders	order	NOUN
fis-1249	41	19	of	of	ADP
fis-1249	41	20	magnitude	magnitude	NOUN
fis-1249	41	21	smaller	small	ADJ
fis-1249	41	22	than	than	ADP
fis-1249	41	23	the	the	DET
fis-1249	41	24	macroscopic	macroscopic	ADJ
fis-1249	41	25	dimensions	dimension	NOUN
fis-1249	41	26	(	(	PUNCT
fis-1249	41	27	centimeters	centimeter	NOUN
fis-1249	41	28	)	)	PUNCT
fis-1249	41	29	.	.	PUNCT
fis-1249	42	1	hence	hence	ADV
fis-1249	42	2	,	,	PUNCT
fis-1249	42	3	two	two	NUM
fis-1249	42	4	models	model	NOUN
fis-1249	42	5	are	be	AUX
fis-1249	42	6	developed	develop	VERB
fis-1249	42	7	:	:	PUNCT
fis-1249	42	8	one	one	NUM
fis-1249	42	9	at	at	ADP
fis-1249	42	10	the	the	DET
fis-1249	42	11	micro	micro	NOUN
fis-1249	42	12	-	-	NOUN
fis-1249	42	13	level	level	NOUN
fis-1249	42	14	and	and	CCONJ
fis-1249	42	15	one	one	NUM
fis-1249	42	16	at	at	ADP
fis-1249	42	17	the	the	DET
fis-1249	42	18	macro	macro	NOUN
fis-1249	42	19	-	-	NOUN
fis-1249	42	20	level	level	NOUN
fis-1249	42	21	.	.	PUNCT
fis-1249	43	1	the	the	DET
fis-1249	43	2	problem	problem	NOUN
fis-1249	43	3	is	be	AUX
fis-1249	43	4	how	how	SCONJ
fis-1249	43	5	to	to	PART
fis-1249	43	6	couple	couple	VERB
fis-1249	43	7	these	these	DET
fis-1249	43	8	models	model	NOUN
fis-1249	43	9	and	and	CCONJ
fis-1249	43	10	which	which	DET
fis-1249	43	11	boundary	boundary	ADJ
fis-1249	43	12	conditions	condition	NOUN
fis-1249	43	13	to	to	PART
fis-1249	43	14	apply	apply	VERB
fis-1249	43	15	to	to	ADP
fis-1249	43	16	the	the	DET
fis-1249	43	17	micromodel	micromodel	NOUN
fis-1249	43	18	.	.	PUNCT
fis-1249	44	1	at	at	ADP
fis-1249	44	2	the	the	DET
fis-1249	44	3	microscale	microscale	NOUN
fis-1249	44	4	,	,	PUNCT
fis-1249	44	5	the	the	DET
fis-1249	44	6	rve	rve	PROPN
fis-1249	44	7	consists	consist	VERB
fis-1249	44	8	in	in	ADP
fis-1249	44	9	piezoelectric	piezoelectric	ADJ
fis-1249	44	10	polymer	polymer	NOUN
fis-1249	44	11	fibers	fiber	NOUN
fis-1249	44	12	that	that	PRON
fis-1249	44	13	feature	feature	VERB
fis-1249	44	14	a	a	DET
fis-1249	44	15	linear	linear	ADJ
fis-1249	44	16	piezoelastic	piezoelastic	ADJ
fis-1249	44	17	constitutive	constitutive	ADJ
fis-1249	44	18	behavior	behavior	NOUN
fis-1249	44	19	and	and	CCONJ
fis-1249	44	20	are	be	AUX
fis-1249	44	21	subjected	subject	VERB
fis-1249	44	22	to	to	ADP
fis-1249	44	23	electromechanical	electromechanical	ADJ
fis-1249	44	24	contact	contact	NOUN
fis-1249	44	25	constraints	constraint	NOUN
fis-1249	44	26	.	.	PUNCT
fis-1249	45	1	the	the	DET
fis-1249	45	2	governing	govern	VERB
fis-1249	45	3	equations	equation	NOUN
fis-1249	45	4	are	be	AUX
fis-1249	45	5	the	the	DET
fis-1249	45	6	navier	navi	ADJ
fis-1249	45	7	equations	equation	NOUN
fis-1249	45	8	and	and	CCONJ
fis-1249	45	9	the	the	DET
fis-1249	45	10	strain	strain	NOUN
fis-1249	45	11	-	-	PUNCT
fis-1249	45	12	displacement	displacement	NOUN
fis-1249	45	13	relations	relation	NOUN
fis-1249	45	14	for	for	ADP
fis-1249	45	15	the	the	DET
fis-1249	45	16	mechanical	mechanical	ADJ
fis-1249	45	17	field	field	NOUN
fis-1249	45	18	and	and	CCONJ
fis-1249	45	19	gauss	gauss	NOUN
fis-1249	45	20	and	and	CCONJ
fis-1249	45	21	faraday	faraday	PROPN
fis-1249	45	22	laws	law	NOUN
fis-1249	45	23	for	for	ADP
fis-1249	45	24	the	the	DET
fis-1249	45	25	electrostatic	electrostatic	ADJ
fis-1249	45	26	field	field	NOUN
fis-1249	45	27	.	.	PUNCT
fis-1249	46	1	moreover	moreover	ADV
fis-1249	46	2	,	,	PUNCT
fis-1249	46	3	the	the	DET
fis-1249	46	4	constitutive	constitutive	ADJ
fis-1249	46	5	equations	equation	NOUN
fis-1249	46	6	read	read	VERB
fis-1249	46	7	:	:	PUNCT
fis-1249	46	8	)	)	PUNCT
fis-1249	46	9	)	)	PUNCT
fis-1249	47	1			NUM
fis-1249	47	2			PROPN
fis-1249	47	3			NUM
fis-1249	47	4			ADV
fis-1249	47	5			X
fis-1249	47	6	ij	ij	X
fis-1249	47	7	ijkl	ijkl	PROPN
fis-1249	47	8	kl	kl	PROPN
fis-1249	48	1	kij	kij	PROPN
fis-1249	48	2	k	k	PROPN
fis-1249	48	3	i	i	PRON
fis-1249	48	4	ikl	ikl	VERB
fis-1249	48	5	kl	kl	PROPN
fis-1249	48	6	ik	ik	PROPN
fis-1249	49	1	k	k	PROPN
fis-1249	49	2	a	a	X
fis-1249	49	3	t	t	NOUN
fis-1249	49	4	c	c	NOUN
fis-1249	49	5	s	s	PROPN
fis-1249	49	6	e	e	NOUN
fis-1249	49	7	e	e	X
fis-1249	49	8	b	b	PROPN
fis-1249	49	9	d	d	X
fis-1249	49	10	e	e	NOUN
fis-1249	49	11	s	s	PRON
fis-1249	49	12	e	e	PROPN
fis-1249	49	13	(	(	PUNCT
fis-1249	49	14	1	1	NUM
fis-1249	49	15	)	)	PUNCT
fis-1249	49	16	where	where	SCONJ
fis-1249	49	17	ijklc	ijklc	NOUN
fis-1249	49	18	,	,	PUNCT
fis-1249	49	19	ikle	ikle	ADJ
fis-1249	49	20	,	,	PUNCT
fis-1249	49	21	and	and	CCONJ
fis-1249	49	22	ik	ik	PROPN
fis-1249	49	23	are	be	AUX
fis-1249	49	24	respectively	respectively	ADV
fis-1249	49	25	the	the	DET
fis-1249	49	26	elastic	elastic	ADJ
fis-1249	49	27	,	,	PUNCT
fis-1249	49	28	piezoelectric	piezoelectric	NOUN
fis-1249	49	29	,	,	PUNCT
fis-1249	49	30	and	and	CCONJ
fis-1249	49	31	permittivity	permittivity	NOUN
fis-1249	49	32	constants	constant	NOUN
fis-1249	49	33	,	,	PUNCT
fis-1249	49	34	whereas	whereas	SCONJ
fis-1249	49	35	,	,	PUNCT
fis-1249	49	36	ij	ij	INTJ
fis-1249	49	37	ijs	ijs	PROPN
fis-1249	49	38	t	t	PROPN
fis-1249	49	39	are	be	AUX
fis-1249	49	40	the	the	DET
fis-1249	49	41	strain	strain	NOUN
fis-1249	49	42	and	and	CCONJ
fis-1249	49	43	stress	stress	NOUN
fis-1249	49	44	components	component	NOUN
fis-1249	49	45	and	and	CCONJ
fis-1249	49	46	,	,	PUNCT
fis-1249	49	47	i	i	PRON
fis-1249	49	48	i	i	PROPN
fis-1249	49	49	d	d	PROPN
fis-1249	49	50	e	e	X
fis-1249	49	51	are	be	AUX
fis-1249	49	52	the	the	DET
fis-1249	49	53	electric	electric	ADJ
fis-1249	49	54	displacement	displacement	NOUN
fis-1249	49	55	and	and	CCONJ
fis-1249	49	56	the	the	DET
fis-1249	49	57	electric	electric	ADJ
fis-1249	49	58	field	field	NOUN
fis-1249	49	59	components	component	NOUN
fis-1249	49	60	,	,	PUNCT
fis-1249	49	61	respectively	respectively	ADV
fis-1249	49	62	.	.	PUNCT
fis-1249	50	1	the	the	DET
fis-1249	50	2	interaction	interaction	NOUN
fis-1249	50	3	among	among	ADP
fis-1249	50	4	the	the	DET
fis-1249	50	5	fibers	fiber	NOUN
fis-1249	50	6	is	be	AUX
fis-1249	50	7	described	describe	VERB
fis-1249	50	8	defining	define	VERB
fis-1249	50	9	a	a	DET
fis-1249	50	10	3d	3d	NUM
fis-1249	50	11	electromechanical	electromechanical	ADJ
fis-1249	50	12	frictionless	frictionless	NOUN
fis-1249	50	13	contact	contact	NOUN
fis-1249	50	14	law	law	NOUN
fis-1249	50	15	and	and	CCONJ
fis-1249	50	16	implementing	implement	VERB
fis-1249	50	17	an	an	DET
fis-1249	50	18	element	element	NOUN
fis-1249	50	19	with	with	ADP
fis-1249	50	20	the	the	DET
fis-1249	50	21	following	follow	VERB
fis-1249	50	22	main	main	ADJ
fis-1249	50	23	characteristics	characteristic	NOUN
fis-1249	50	24	:	:	PUNCT
fis-1249	50	25			PUNCT
fis-1249	50	26	the	the	DET
fis-1249	50	27	contact	contact	NOUN
fis-1249	50	28	formulation	formulation	NOUN
fis-1249	50	29	is	be	AUX
fis-1249	50	30	based	base	VERB
fis-1249	50	31	on	on	ADP
fis-1249	50	32	the	the	DET
fis-1249	50	33	master	master	NOUN
fis-1249	50	34	-	-	PUNCT
fis-1249	50	35	slave	slave	NOUN
fis-1249	50	36	concept	concept	NOUN
fis-1249	50	37	;	;	PUNCT
fis-1249	50	38			X
fis-1249	50	39	bézier	bézier	PROPN
fis-1249	50	40	patches	patch	NOUN
fis-1249	50	41	are	be	AUX
fis-1249	50	42	used	use	VERB
fis-1249	50	43	for	for	ADP
fis-1249	50	44	smoothing	smoothing	NOUN
fis-1249	50	45	of	of	ADP
fis-1249	50	46	the	the	DET
fis-1249	50	47	master	master	NOUN
fis-1249	50	48	surface	surface	NOUN
fis-1249	50	49	;	;	PUNCT
fis-1249	50	50			VERB
fis-1249	50	51	the	the	DET
fis-1249	50	52	impenetrability	impenetrability	NOUN
fis-1249	50	53	condition	condition	NOUN
fis-1249	50	54	is	be	AUX
fis-1249	50	55	extended	extend	VERB
fis-1249	50	56	to	to	ADP
fis-1249	50	57	the	the	DET
fis-1249	50	58	electromechanical	electromechanical	ADJ
fis-1249	50	59	setting	setting	NOUN
fis-1249	50	60	by	by	ADP
fis-1249	50	61	imposing	impose	VERB
fis-1249	50	62	equality	equality	NOUN
fis-1249	50	63	of	of	ADP
fis-1249	50	64	the	the	DET
fis-1249	50	65	electric	electric	PROPN
fis-1249	50	66	t	t	PROPN
fis-1249	50	67	c.	c.	PROPN
fis-1249	50	68	maruccio	maruccio	PROPN
fis-1249	50	69	et	et	PROPN
fis-1249	50	70	alii	alii	PROPN
fis-1249	50	71	,	,	PUNCT
fis-1249	50	72	frattura	frattura	PROPN
fis-1249	50	73	ed	ed	PROPN
fis-1249	50	74	integrità	integrità	PROPN
fis-1249	50	75	strutturale	strutturale	PROPN
fis-1249	50	76	,	,	PUNCT
fis-1249	50	77	29	29	NUM
fis-1249	50	78	(	(	PUNCT
fis-1249	50	79	2014	2014	NUM
fis-1249	50	80	)	)	PUNCT
fis-1249	50	81	49	49	NUM
fis-1249	50	82	-	-	SYM
fis-1249	50	83	60	60	NUM
fis-1249	50	84	;	;	PUNCT
fis-1249	50	85	doi	doi	NOUN
fis-1249	50	86	:	:	PUNCT
fis-1249	50	87	10.3221	10.3221	NUM
fis-1249	50	88	/	/	SYM
fis-1249	50	89	igf	igf	PROPN
fis-1249	50	90	-	-	PUNCT
fis-1249	50	91	esis.29.06	esis.29.06	NOUN
fis-1249	50	92	51	51	NUM
fis-1249	50	93	potential	potential	NOUN
fis-1249	50	94	in	in	ADP
fis-1249	50	95	case	case	NOUN
fis-1249	50	96	of	of	ADP
fis-1249	50	97	closed	closed	ADJ
fis-1249	50	98	contact	contact	NOUN
fis-1249	50	99	.	.	PUNCT
fis-1249	51	1	the	the	DET
fis-1249	51	2	electromechanical	electromechanical	ADJ
fis-1249	51	3	constraints	constraint	NOUN
fis-1249	51	4	are	be	AUX
fis-1249	51	5	regularized	regularize	VERB
fis-1249	51	6	with	with	ADP
fis-1249	51	7	the	the	DET
fis-1249	51	8	penalty	penalty	NOUN
fis-1249	51	9	method	method	NOUN
fis-1249	51	10	.	.	PUNCT
fis-1249	52	1	for	for	ADP
fis-1249	52	2	each	each	DET
fis-1249	52	3	slave	slave	NOUN
fis-1249	52	4	node	node	PROPN
fis-1249	52	5	,	,	PUNCT
fis-1249	52	6	the	the	DET
fis-1249	52	7	normal	normal	ADJ
fis-1249	52	8	gap	gap	NOUN
fis-1249	52	9	is	be	AUX
fis-1249	52	10	computed	compute	VERB
fis-1249	52	11	as	as	ADP
fis-1249	52	12	:	:	PUNCT
fis-1249	52	13	(	(	PUNCT
fis-1249	52	14	)	)	PUNCT
fis-1249	52	15			PROPN
fis-1249	52	16			PROPN
fis-1249	52	17	s	s	NOUN
fis-1249	52	18	m	m	PROPN
fis-1249	52	19	ng	ng	PROPN
fis-1249	52	20	x	x	X
fis-1249	52	21	x	x	SYM
fis-1249	52	22	n	n	PROPN
fis-1249	52	23	(	(	PUNCT
fis-1249	52	24	2	2	NUM
fis-1249	52	25	)	)	PUNCT
fis-1249	52	26	where	where	SCONJ
fis-1249	52	27	sx	sx	PROPN
fis-1249	52	28	is	be	AUX
fis-1249	52	29	the	the	DET
fis-1249	52	30	position	position	NOUN
fis-1249	52	31	vector	vector	NOUN
fis-1249	52	32	of	of	ADP
fis-1249	52	33	the	the	DET
fis-1249	52	34	slave	slave	NOUN
fis-1249	52	35	node	node	PROPN
fis-1249	52	36	,	,	PUNCT
fis-1249	52	37	mx	mx	PROPN
fis-1249	52	38	is	be	AUX
fis-1249	52	39	the	the	DET
fis-1249	52	40	position	position	NOUN
fis-1249	52	41	vector	vector	NOUN
fis-1249	52	42	of	of	ADP
fis-1249	52	43	its	its	PRON
fis-1249	52	44	normal	normal	ADJ
fis-1249	52	45	(	(	PUNCT
fis-1249	52	46	i.e.	i.e.	X
fis-1249	52	47	minimum	minimum	ADJ
fis-1249	52	48	distance	distance	NOUN
fis-1249	52	49	)	)	PUNCT
fis-1249	52	50	projection	projection	NOUN
fis-1249	52	51	point	point	NOUN
fis-1249	52	52	onto	onto	ADP
fis-1249	52	53	the	the	DET
fis-1249	52	54	master	master	NOUN
fis-1249	52	55	surface	surface	NOUN
fis-1249	52	56	,	,	PUNCT
fis-1249	52	57	and	and	CCONJ
fis-1249	52	58	n	n	PRON
fis-1249	52	59	is	be	AUX
fis-1249	52	60	the	the	DET
fis-1249	52	61	outer	outer	ADJ
fis-1249	52	62	normal	normal	ADJ
fis-1249	52	63	to	to	ADP
fis-1249	52	64	the	the	DET
fis-1249	52	65	master	master	NOUN
fis-1249	52	66	surface	surface	NOUN
fis-1249	52	67	at	at	ADP
fis-1249	52	68	the	the	DET
fis-1249	52	69	projection	projection	NOUN
fis-1249	52	70	point	point	NOUN
fis-1249	52	71	.	.	PUNCT
fis-1249	53	1	the	the	DET
fis-1249	53	2	sign	sign	NOUN
fis-1249	53	3	of	of	ADP
fis-1249	53	4	the	the	DET
fis-1249	53	5	measured	measure	VERB
fis-1249	53	6	gap	gap	NOUN
fis-1249	53	7	is	be	AUX
fis-1249	53	8	used	use	VERB
fis-1249	53	9	to	to	PART
fis-1249	53	10	discriminate	discriminate	VERB
fis-1249	53	11	between	between	ADP
fis-1249	53	12	active	active	ADJ
fis-1249	53	13	and	and	CCONJ
fis-1249	53	14	inactive	inactive	ADJ
fis-1249	53	15	contact	contact	NOUN
fis-1249	53	16	conditions	condition	NOUN
fis-1249	53	17	,	,	PUNCT
fis-1249	53	18	a	a	DET
fis-1249	53	19	negative	negative	ADJ
fis-1249	53	20	value	value	NOUN
fis-1249	53	21	of	of	ADP
fis-1249	53	22	the	the	DET
fis-1249	53	23	gap	gap	NOUN
fis-1249	53	24	leading	lead	VERB
fis-1249	53	25	to	to	ADP
fis-1249	53	26	active	active	ADJ
fis-1249	53	27	contact	contact	NOUN
fis-1249	53	28	.	.	PUNCT
fis-1249	54	1	the	the	DET
fis-1249	54	2	electric	electric	ADJ
fis-1249	54	3	field	field	NOUN
fis-1249	54	4	requires	require	VERB
fis-1249	54	5	the	the	DET
fis-1249	54	6	definition	definition	NOUN
fis-1249	54	7	of	of	ADP
fis-1249	54	8	the	the	DET
fis-1249	54	9	contact	contact	NOUN
fis-1249	54	10	electric	electric	ADJ
fis-1249	54	11	potential	potential	ADJ
fis-1249	54	12	jump	jump	NOUN
fis-1249	54	13	:	:	PUNCT
fis-1249	54	14	(	(	PUNCT
fis-1249	54	15	)	)	PUNCT
fis-1249	54	16			NOUN
fis-1249	54	17			NOUN
fis-1249	54	18			VERB
fis-1249	54	19	s	s	PROPN
fis-1249	54	20	mg	mg	PROPN
fis-1249	54	21	(	(	PUNCT
fis-1249	54	22	3	3	NUM
fis-1249	54	23	)	)	PUNCT
fis-1249	54	24	where	where	SCONJ
fis-1249	54	25			NOUN
fis-1249	54	26	s	s	VERB
fis-1249	54	27	and	and	CCONJ
fis-1249	54	28	m	m	NUM
fis-1249	54	29	are	be	AUX
fis-1249	54	30	the	the	DET
fis-1249	54	31	electric	electric	ADJ
fis-1249	54	32	potential	potential	ADJ
fis-1249	54	33	values	value	NOUN
fis-1249	54	34	in	in	ADP
fis-1249	54	35	the	the	DET
fis-1249	54	36	slave	slave	NOUN
fis-1249	54	37	node	node	NOUN
fis-1249	54	38	and	and	CCONJ
fis-1249	54	39	in	in	ADP
fis-1249	54	40	its	its	PRON
fis-1249	54	41	projection	projection	NOUN
fis-1249	54	42	point	point	NOUN
fis-1249	54	43	on	on	ADP
fis-1249	54	44	the	the	DET
fis-1249	54	45	master	master	NOUN
fis-1249	54	46	surface	surface	NOUN
fis-1249	54	47	.	.	PUNCT
fis-1249	55	1	a	a	DET
fis-1249	55	2	tensor	tensor	NOUN
fis-1249	55	3	product	product	NOUN
fis-1249	55	4	representation	representation	NOUN
fis-1249	55	5	of	of	ADP
fis-1249	55	6	one	one	NUM
fis-1249	55	7	-	-	PUNCT
fis-1249	55	8	dimensional	dimensional	ADJ
fis-1249	55	9	bézier	bézier	NOUN
fis-1249	55	10	polynomials	polynomial	NOUN
fis-1249	55	11	is	be	AUX
fis-1249	55	12	used	use	VERB
fis-1249	55	13	to	to	PART
fis-1249	55	14	interpolate	interpolate	VERB
fis-1249	55	15	the	the	DET
fis-1249	55	16	master	master	NOUN
fis-1249	55	17	surfaces	surface	NOUN
fis-1249	55	18	in	in	ADP
fis-1249	55	19	the	the	DET
fis-1249	55	20	contact	contact	NOUN
fis-1249	55	21	interface	interface	NOUN
fis-1249	55	22	for	for	ADP
fis-1249	55	23	a	a	DET
fis-1249	55	24	three	three	NUM
fis-1249	55	25	-	-	PUNCT
fis-1249	55	26	dimensional	dimensional	ADJ
fis-1249	55	27	problem	problem	NOUN
fis-1249	55	28	according	accord	VERB
fis-1249	55	29	to	to	ADP
fis-1249	55	30	the	the	DET
fis-1249	55	31	relation	relation	NOUN
fis-1249	55	32	:	:	PUNCT
fis-1249	55	33			NOUN
fis-1249	55	34	1	1	NOUN
fis-1249	55	35	2	2	NUM
fis-1249	55	36	1	1	NUM
fis-1249	55	37	2	2	NUM
fis-1249	55	38	0	0	NUM
fis-1249	55	39	0	0	NUM
fis-1249	55	40	,	,	PUNCT
fis-1249	55	41	(	(	PUNCT
fis-1249	55	42	)	)	PUNCT
fis-1249	55	43	(	(	PUNCT
fis-1249	55	44	)	)	PUNCT
fis-1249	55	45			ADP
fis-1249	55	46			NOUN
fis-1249	55	47			NOUN
fis-1249	55	48			NOUN
fis-1249	55	49			NUM
fis-1249	55	50			NUM
fis-1249	56	1			NOUN
fis-1249	56	2			ADV
fis-1249	56	3	m	m	VERB
fis-1249	56	4	m	m	VERB
fis-1249	56	5	m	m	VERB
fis-1249	56	6	m	m	VERB
fis-1249	56	7	kl	kl	ADJ
fis-1249	57	1	k	k	X
fis-1249	57	2	l	l	PROPN
fis-1249	58	1	k	k	X
fis-1249	59	1	l	l	PUNCT
fis-1249	59	2	x	x	X
fis-1249	59	3	b	b	X
fis-1249	59	4	bd	bd	PROPN
fis-1249	59	5	(	(	PUNCT
fis-1249	59	6	4	4	NUM
fis-1249	59	7	)	)	PUNCT
fis-1249	59	8	where	where	SCONJ
fis-1249	59	9	1	1	NUM
fis-1249	59	10	(	(	PUNCT
fis-1249	59	11	)	)	PUNCT
fis-1249	59	12	m	m	PROPN
fis-1249	59	13	kb	kb	PROPN
fis-1249	59	14	and	and	CCONJ
fis-1249	59	15			NOUN
fis-1249	59	16	2	2	PRON
fis-1249	59	17	m	m	VERB
fis-1249	59	18	lb	lb	NOUN
fis-1249	59	19	are	be	AUX
fis-1249	59	20	the	the	DET
fis-1249	59	21	bernstein	bernstein	PROPN
fis-1249	59	22	polynomials	polynomials	PROPN
fis-1249	59	23	and	and	CCONJ
fis-1249	59	24	kld	kld	PROPN
fis-1249	59	25	the	the	DET
fis-1249	59	26	coordinates	coordinate	NOUN
fis-1249	59	27	of	of	ADP
fis-1249	59	28	the	the	DET
fis-1249	59	29	control	control	NOUN
fis-1249	59	30	points	point	VERB
fis-1249	60	1	[	[	X
fis-1249	60	2	22	22	NUM
fis-1249	60	3	]	]	PUNCT
fis-1249	60	4	.	.	PUNCT
fis-1249	61	1	with	with	ADP
fis-1249	61	2	the	the	DET
fis-1249	61	3	same	same	ADJ
fis-1249	61	4	procedure	procedure	NOUN
fis-1249	61	5	,	,	PUNCT
fis-1249	61	6	to	to	PART
fis-1249	61	7	interpolate	interpolate	VERB
fis-1249	61	8	the	the	DET
fis-1249	61	9	electric	electric	ADJ
fis-1249	61	10	potential	potential	NOUN
fis-1249	61	11	on	on	ADP
fis-1249	61	12	the	the	DET
fis-1249	61	13	master	master	NOUN
fis-1249	61	14	surface	surface	NOUN
fis-1249	61	15	the	the	DET
fis-1249	61	16	following	follow	VERB
fis-1249	61	17	relation	relation	NOUN
fis-1249	61	18	is	be	AUX
fis-1249	61	19	introduced	introduce	VERB
fis-1249	61	20	:	:	PUNCT
fis-1249	61	21			NOUN
fis-1249	61	22	1	1	NOUN
fis-1249	62	1	2	2	NUM
fis-1249	62	2	1	1	NUM
fis-1249	62	3	2	2	NUM
fis-1249	62	4	0	0	NUM
fis-1249	62	5	0	0	NUM
fis-1249	62	6	,	,	PUNCT
fis-1249	62	7	(	(	PUNCT
fis-1249	62	8	)	)	PUNCT
fis-1249	62	9	(	(	PUNCT
fis-1249	62	10	)	)	PUNCT
fis-1249	62	11			NOUN
fis-1249	62	12			NOUN
fis-1249	62	13			NOUN
fis-1249	62	14			NOUN
fis-1249	62	15			NOUN
fis-1249	62	16			NOUN
fis-1249	62	17			NUM
fis-1249	62	18			NUM
fis-1249	63	1			NOUN
fis-1249	63	2			ADV
fis-1249	63	3	m	m	VERB
fis-1249	63	4	m	m	VERB
fis-1249	63	5	m	m	VERB
fis-1249	63	6	m	m	VERB
fis-1249	63	7	kl	kl	ADJ
fis-1249	64	1	k	k	X
fis-1249	64	2	l	l	PROPN
fis-1249	64	3	k	k	PROPN
fis-1249	64	4	l	l	PROPN
fis-1249	64	5	b	b	PROPN
fis-1249	64	6	b	b	X
fis-1249	64	7	(	(	PUNCT
fis-1249	64	8	5	5	NUM
fis-1249	64	9	)	)	PUNCT
fis-1249	64	10	where	where	SCONJ
fis-1249	64	11	kl	kl	PUNCT
fis-1249	64	12	is	be	AUX
fis-1249	64	13	the	the	DET
fis-1249	64	14	potential	potential	ADJ
fis-1249	64	15	evaluated	evaluate	VERB
fis-1249	64	16	at	at	ADP
fis-1249	64	17	16	16	NUM
fis-1249	64	18	control	control	NOUN
fis-1249	64	19	points	point	NOUN
fis-1249	64	20	as	as	ADP
fis-1249	64	21	a	a	DET
fis-1249	64	22	function	function	NOUN
fis-1249	64	23	of	of	ADP
fis-1249	64	24	the	the	DET
fis-1249	64	25	potential	potential	NOUN
fis-1249	64	26	at	at	ADP
fis-1249	64	27	the	the	DET
fis-1249	64	28	auxiliary	auxiliary	ADJ
fis-1249	64	29	points	point	NOUN
fis-1249	64	30	̂kj	̂kj	PROPN
fis-1249	64	31	and	and	CCONJ
fis-1249	64	32	at	at	ADP
fis-1249	64	33	the	the	DET
fis-1249	64	34	master	master	NOUN
fis-1249	64	35	nodes	node	NOUN
fis-1249	64	36	mij	mij	PROPN
fis-1249	64	37	,	,	PUNCT
fis-1249	64	38	see	see	VERB
fis-1249	64	39	fig.1	fig.1	PROPN
fis-1249	64	40	.	.	PUNCT
fis-1249	65	1	a	a	PRON
fis-1249	65	2	)	)	PUNCT
fis-1249	65	3	b	b	NOUN
fis-1249	65	4	)	)	PUNCT
fis-1249	65	5	c	c	NOUN
fis-1249	65	6	)	)	PUNCT
fis-1249	65	7	figure	figure	NOUN
fis-1249	65	8	1	1	NUM
fis-1249	65	9	:	:	PUNCT
fis-1249	65	10	electromechanical	electromechanical	ADJ
fis-1249	65	11	contact	contact	NOUN
fis-1249	65	12	elements	element	NOUN
fis-1249	65	13	:	:	PUNCT
fis-1249	65	14	a	a	X
fis-1249	65	15	)	)	PUNCT
fis-1249	65	16	general	general	ADJ
fis-1249	65	17	master	master	NOUN
fis-1249	65	18	-	-	PUNCT
fis-1249	65	19	slave	slave	NOUN
fis-1249	65	20	concept	concept	NOUN
fis-1249	65	21	b	b	X
fis-1249	65	22	)	)	PUNCT
fis-1249	65	23	node	node	NOUN
fis-1249	65	24	to	to	AUX
fis-1249	65	25	surface	surface	NOUN
fis-1249	65	26	discretization	discretization	NOUN
fis-1249	65	27	c	c	NOUN
fis-1249	65	28	)	)	PUNCT
fis-1249	65	29	smoothing	smooth	VERB
fis-1249	65	30	with	with	ADP
fis-1249	65	31	bezier	bezi	ADJ
fis-1249	65	32	patches	patch	NOUN
fis-1249	65	33	according	accord	VERB
fis-1249	65	34	to	to	ADP
fis-1249	65	35	standard	standard	ADJ
fis-1249	65	36	finite	finite	ADJ
fis-1249	65	37	element	element	NOUN
fis-1249	65	38	techniques	technique	NOUN
fis-1249	65	39	,	,	PUNCT
fis-1249	65	40	the	the	DET
fis-1249	65	41	global	global	ADJ
fis-1249	65	42	energy	energy	NOUN
fis-1249	65	43	of	of	ADP
fis-1249	65	44	the	the	DET
fis-1249	65	45	system	system	NOUN
fis-1249	65	46	is	be	AUX
fis-1249	65	47	obtained	obtain	VERB
fis-1249	65	48	by	by	ADP
fis-1249	65	49	adding	add	VERB
fis-1249	65	50	to	to	ADP
fis-1249	65	51	the	the	DET
fis-1249	65	52	variation	variation	NOUN
fis-1249	65	53	of	of	ADP
fis-1249	65	54	the	the	DET
fis-1249	65	55	energy	energy	NOUN
fis-1249	65	56	potential	potential	NOUN
fis-1249	65	57	representing	represent	VERB
fis-1249	65	58	the	the	DET
fis-1249	65	59	continuum	continuum	ADJ
fis-1249	65	60	behaviour	behaviour	NOUN
fis-1249	65	61	the	the	DET
fis-1249	65	62	virtual	virtual	ADJ
fis-1249	65	63	work	work	NOUN
fis-1249	65	64	associated	associate	VERB
fis-1249	65	65	to	to	ADP
fis-1249	65	66	the	the	DET
fis-1249	65	67	electromechanical	electromechanical	ADJ
fis-1249	65	68	contact	contact	NOUN
fis-1249	65	69	contribution	contribution	NOUN
fis-1249	65	70	provided	provide	VERB
fis-1249	65	71	by	by	ADP
fis-1249	65	72	the	the	DET
fis-1249	65	73	active	active	ADJ
fis-1249	65	74	contact	contact	NOUN
fis-1249	65	75	elements	element	NOUN
fis-1249	65	76	.	.	PUNCT
fis-1249	66	1	performing	perform	VERB
fis-1249	66	2	the	the	DET
fis-1249	66	3	first	first	ADJ
fis-1249	66	4	and	and	CCONJ
fis-1249	66	5	second	second	ADJ
fis-1249	66	6	variation	variation	NOUN
fis-1249	66	7	of	of	ADP
fis-1249	66	8	the	the	DET
fis-1249	66	9	global	global	ADJ
fis-1249	66	10	energy	energy	NOUN
fis-1249	66	11	the	the	DET
fis-1249	66	12	global	global	ADJ
fis-1249	66	13	set	set	NOUN
fis-1249	66	14	of	of	ADP
fis-1249	66	15	equations	equation	NOUN
fis-1249	66	16	is	be	AUX
fis-1249	66	17	obtained	obtain	VERB
fis-1249	66	18	.	.	PUNCT
fis-1249	67	1	when	when	SCONJ
fis-1249	67	2	an	an	DET
fis-1249	67	3	external	external	ADJ
fis-1249	67	4	load	load	NOUN
fis-1249	67	5	is	be	AUX
fis-1249	67	6	applied	apply	VERB
fis-1249	67	7	to	to	ADP
fis-1249	67	8	the	the	DET
fis-1249	67	9	rve	rve	PROPN
fis-1249	67	10	,	,	PUNCT
fis-1249	67	11	the	the	DET
fis-1249	67	12	stress	stress	NOUN
fis-1249	67	13	,	,	PUNCT
fis-1249	67	14	strain	strain	NOUN
fis-1249	67	15	and	and	CCONJ
fis-1249	67	16	electric	electric	ADJ
fis-1249	67	17	fields	field	NOUN
fis-1249	67	18	in	in	ADP
fis-1249	67	19	the	the	DET
fis-1249	67	20	microstructure	microstructure	NOUN
fis-1249	67	21	will	will	AUX
fis-1249	67	22	show	show	VERB
fis-1249	67	23	large	large	ADJ
fis-1249	67	24	gradients	gradient	NOUN
fis-1249	67	25	due	due	ADP
fis-1249	67	26	to	to	ADP
fis-1249	67	27	the	the	DET
fis-1249	67	28	microstructural	microstructural	ADJ
fis-1249	67	29	heterogeneity	heterogeneity	NOUN
fis-1249	67	30	.	.	PUNCT
fis-1249	68	1	however	however	ADV
fis-1249	68	2	,	,	PUNCT
fis-1249	68	3	due	due	ADP
fis-1249	68	4	to	to	ADP
fis-1249	68	5	the	the	DET
fis-1249	68	6	differences	difference	NOUN
fis-1249	68	7	in	in	ADP
fis-1249	68	8	scale	scale	NOUN
fis-1249	68	9	,	,	PUNCT
fis-1249	68	10	the	the	DET
fis-1249	68	11	microstructural	microstructural	ADJ
fis-1249	68	12	electric	electric	ADJ
fis-1249	68	13	/	/	SYM
fis-1249	68	14	deformation	deformation	NOUN
fis-1249	68	15	field	field	NOUN
fis-1249	68	16	around	around	ADP
fis-1249	68	17	a	a	DET
fis-1249	68	18	macroscopic	macroscopic	ADJ
fis-1249	68	19	point	point	NOUN
fis-1249	68	20	will	will	AUX
fis-1249	68	21	be	be	AUX
fis-1249	68	22	approximately	approximately	ADV
fis-1249	68	23	the	the	DET
fis-1249	68	24	same	same	ADJ
fis-1249	68	25	as	as	ADP
fis-1249	68	26	the	the	DET
fis-1249	68	27	electric	electric	ADJ
fis-1249	68	28	/	/	SYM
fis-1249	68	29	deformation	deformation	NOUN
fis-1249	68	30	field	field	NOUN
fis-1249	68	31	around	around	ADP
fis-1249	68	32	neighbouring	neighbouring	ADJ
fis-1249	68	33	points	point	NOUN
fis-1249	68	34	.	.	PUNCT
fis-1249	69	1	the	the	DET
fis-1249	69	2	repetitive	repetitive	ADJ
fis-1249	69	3	deformations	deformation	NOUN
fis-1249	69	4	justify	justify	VERB
fis-1249	69	5	the	the	DET
fis-1249	69	6	assumption	assumption	NOUN
fis-1249	69	7	of	of	ADP
fis-1249	69	8	local	local	ADJ
fis-1249	69	9	periodicity	periodicity	NOUN
fis-1249	69	10	,	,	PUNCT
fis-1249	69	11	meaning	mean	VERB
fis-1249	69	12	that	that	SCONJ
fis-1249	69	13	the	the	DET
fis-1249	69	14	microstructure	microstructure	NOUN
fis-1249	69	15	can	can	AUX
fis-1249	69	16	be	be	AUX
fis-1249	69	17	thought	think	VERB
fis-1249	69	18	as	as	ADP
fis-1249	69	19	repeating	repeat	VERB
fis-1249	69	20	itself	itself	PRON
fis-1249	69	21	near	near	ADP
fis-1249	69	22	a	a	DET
fis-1249	69	23	macroscopic	macroscopic	ADJ
fis-1249	69	24	point	point	NOUN
fis-1249	69	25	.	.	PUNCT
fis-1249	70	1	however	however	ADV
fis-1249	70	2	,	,	PUNCT
fis-1249	70	3	the	the	DET
fis-1249	70	4	microstructure	microstructure	NOUN
fis-1249	70	5	itself	itself	PRON
fis-1249	70	6	may	may	AUX
fis-1249	70	7	differ	differ	VERB
fis-1249	70	8	from	from	ADP
fis-1249	70	9	one	one	NUM
fis-1249	70	10	macroscopic	macroscopic	ADJ
fis-1249	70	11	point	point	NOUN
fis-1249	70	12	to	to	ADP
fis-1249	70	13	another	another	PRON
fis-1249	70	14	.	.	PUNCT
fis-1249	71	1	the	the	DET
fis-1249	71	2	repetitive	repetitive	ADJ
fis-1249	71	3	microstructural	microstructural	ADJ
fis-1249	71	4	generalized	generalized	ADJ
fis-1249	71	5	deformations	deformation	NOUN
fis-1249	71	6	suggest	suggest	VERB
fis-1249	71	7	that	that	SCONJ
fis-1249	71	8	macroscopic	macroscopic	ADJ
fis-1249	71	9	c.	c.	PROPN
fis-1249	71	10	maruccio	maruccio	PROPN
fis-1249	71	11	et	et	PROPN
fis-1249	71	12	alii	alii	PROPN
fis-1249	71	13	,	,	PUNCT
fis-1249	71	14	frattura	frattura	PROPN
fis-1249	71	15	ed	ed	PROPN
fis-1249	71	16	integrità	integrità	PROPN
fis-1249	71	17	strutturale	strutturale	PROPN
fis-1249	71	18	,	,	PUNCT
fis-1249	71	19	29	29	NUM
fis-1249	71	20	(	(	PUNCT
fis-1249	71	21	2014	2014	NUM
fis-1249	71	22	)	)	PUNCT
fis-1249	71	23	49	49	NUM
fis-1249	71	24	-	-	SYM
fis-1249	71	25	60	60	NUM
fis-1249	71	26	;	;	PUNCT
fis-1249	71	27	doi	doi	NOUN
fis-1249	71	28	:	:	PUNCT
fis-1249	71	29	10.3221	10.3221	NUM
fis-1249	71	30	/	/	SYM
fis-1249	71	31	igf	igf	PROPN
fis-1249	71	32	-	-	PUNCT
fis-1249	71	33	esis.29.06	esis.29.06	NOUN
fis-1249	71	34	52	52	NUM
fis-1249	71	35	stresses	stress	NOUN
fis-1249	71	36	and	and	CCONJ
fis-1249	71	37	strains	strain	VERB
fis-1249	71	38	around	around	ADP
fis-1249	71	39	a	a	DET
fis-1249	71	40	certain	certain	ADJ
fis-1249	71	41	macroscopic	macroscopic	ADJ
fis-1249	71	42	point	point	NOUN
fis-1249	71	43	can	can	AUX
fis-1249	71	44	be	be	AUX
fis-1249	71	45	found	find	VERB
fis-1249	71	46	by	by	ADP
fis-1249	71	47	averaging	average	VERB
fis-1249	71	48	microstructural	microstructural	ADJ
fis-1249	71	49	stresses	stress	NOUN
fis-1249	71	50	and	and	CCONJ
fis-1249	71	51	strains	strain	NOUN
fis-1249	71	52	in	in	ADP
fis-1249	71	53	a	a	DET
fis-1249	71	54	small	small	ADJ
fis-1249	71	55	representative	representative	ADJ
fis-1249	71	56	area	area	NOUN
fis-1249	71	57	of	of	ADP
fis-1249	71	58	the	the	DET
fis-1249	71	59	microstructure	microstructure	NOUN
fis-1249	71	60	attributed	attribute	VERB
fis-1249	71	61	to	to	ADP
fis-1249	71	62	that	that	DET
fis-1249	71	63	point	point	NOUN
fis-1249	71	64	.	.	PUNCT
fis-1249	72	1	this	this	PRON
fis-1249	72	2	allows	allow	VERB
fis-1249	72	3	finding	find	VERB
fis-1249	72	4	a	a	DET
fis-1249	72	5	globally	globally	ADV
fis-1249	72	6	homogeneous	homogeneous	ADJ
fis-1249	72	7	medium	medium	ADJ
fis-1249	72	8	equivalent	equivalent	NOUN
fis-1249	72	9	to	to	ADP
fis-1249	72	10	the	the	DET
fis-1249	72	11	original	original	ADJ
fis-1249	72	12	composite	composite	NOUN
fis-1249	72	13	,	,	PUNCT
fis-1249	72	14	where	where	SCONJ
fis-1249	72	15	the	the	DET
fis-1249	72	16	equivalence	equivalence	NOUN
fis-1249	72	17	is	be	AUX
fis-1249	72	18	intended	intend	VERB
fis-1249	72	19	in	in	ADP
fis-1249	72	20	an	an	DET
fis-1249	72	21	energetic	energetic	ADJ
fis-1249	72	22	sense	sense	NOUN
fis-1249	72	23	as	as	ADP
fis-1249	72	24	per	per	ADP
fis-1249	72	25	hill	hill	NOUN
fis-1249	72	26	’s	’s	PART
fis-1249	72	27	balance	balance	NOUN
fis-1249	72	28	condition	condition	NOUN
fis-1249	72	29	[	[	X
fis-1249	72	30	12,15,16	12,15,16	NUM
fis-1249	72	31	]	]	PUNCT
fis-1249	72	32	.	.	PUNCT
fis-1249	73	1	formulated	formulate	VERB
fis-1249	73	2	for	for	ADP
fis-1249	73	3	the	the	DET
fis-1249	73	4	electromechanical	electromechanical	ADJ
fis-1249	73	5	problem	problem	NOUN
fis-1249	73	6	,	,	PUNCT
fis-1249	73	7	hill	hill	PROPN
fis-1249	73	8	’s	’s	PART
fis-1249	73	9	criterion	criterion	NOUN
fis-1249	73	10	in	in	ADP
fis-1249	73	11	differential	differential	ADJ
fis-1249	73	12	form	form	NOUN
fis-1249	73	13	reads	read	VERB
fis-1249	73	14	:	:	PUNCT
fis-1249	73	15	1	1	NUM
fis-1249	73	16	1	1	NUM
fis-1249	73	17			NUM
fis-1249	73	18			NUM
fis-1249	73	19			NUM
fis-1249	73	20			PROPN
fis-1249	73	21			PROPN
fis-1249	73	22			PUNCT
fis-1249	73	23	ij	ij	PUNCT
fis-1249	74	1	ij	ij	INTJ
fis-1249	74	2	i	i	PRON
fis-1249	75	1	i	i	PRON
fis-1249	76	1	ij	ij	INTJ
fis-1249	77	1	ij	ij	INTJ
fis-1249	78	1	i	i	PRON
fis-1249	79	1	it	it	PRON
fis-1249	79	2	s	s	VERB
fis-1249	79	3	d	d	X
fis-1249	79	4	e	e	PROPN
fis-1249	79	5	t	t	PROPN
fis-1249	79	6	s	s	PROPN
fis-1249	79	7	dv	dv	PROPN
fis-1249	79	8	d	d	PROPN
fis-1249	79	9	e	e	PROPN
fis-1249	79	10	dv	dv	PROPN
fis-1249	79	11	v	v	PROPN
fis-1249	79	12	v	v	PROPN
fis-1249	79	13	(	(	PUNCT
fis-1249	79	14	6	6	NUM
fis-1249	79	15	)	)	PUNCT
fis-1249	79	16	and	and	CCONJ
fis-1249	79	17	requires	require	VERB
fis-1249	79	18	that	that	SCONJ
fis-1249	79	19	the	the	DET
fis-1249	79	20	macroscopic	macroscopic	ADJ
fis-1249	79	21	volume	volume	NOUN
fis-1249	79	22	average	average	NOUN
fis-1249	79	23	of	of	ADP
fis-1249	79	24	the	the	DET
fis-1249	79	25	variation	variation	NOUN
fis-1249	79	26	of	of	ADP
fis-1249	79	27	work	work	NOUN
fis-1249	79	28	performed	perform	VERB
fis-1249	79	29	on	on	ADP
fis-1249	79	30	the	the	DET
fis-1249	79	31	rve	rve	PROPN
fis-1249	79	32	is	be	AUX
fis-1249	79	33	equal	equal	ADJ
fis-1249	79	34	to	to	ADP
fis-1249	79	35	the	the	DET
fis-1249	79	36	local	local	ADJ
fis-1249	79	37	variation	variation	NOUN
fis-1249	79	38	of	of	ADP
fis-1249	79	39	work	work	NOUN
fis-1249	79	40	on	on	ADP
fis-1249	79	41	the	the	DET
fis-1249	79	42	macroscale	macroscale	NOUN
fis-1249	79	43	.	.	PUNCT
fis-1249	80	1	in	in	ADP
fis-1249	80	2	the	the	DET
fis-1249	80	3	previous	previous	ADJ
fis-1249	80	4	equation	equation	NOUN
fis-1249	80	5	:	:	PUNCT
fis-1249	80	6	ijt	ijt	VERB
fis-1249	80	7	,	,	PUNCT
fis-1249	80	8	ijs	ijs	PROPN
fis-1249	80	9	,	,	PUNCT
fis-1249	80	10	i	i	PROPN
fis-1249	80	11	d	d	PROPN
fis-1249	80	12	and	and	CCONJ
fis-1249	80	13	ie	ie	ADV
fis-1249	80	14	represent	represent	VERB
fis-1249	80	15	respectively	respectively	ADV
fis-1249	80	16	the	the	DET
fis-1249	80	17	average	average	ADJ
fis-1249	80	18	values	value	NOUN
fis-1249	80	19	of	of	ADP
fis-1249	80	20	stress	stress	NOUN
fis-1249	80	21	,	,	PUNCT
fis-1249	80	22	strain	strain	NOUN
fis-1249	80	23	,	,	PUNCT
fis-1249	80	24	electric	electric	ADJ
fis-1249	80	25	displacement	displacement	NOUN
fis-1249	80	26	and	and	CCONJ
fis-1249	80	27	electric	electric	ADJ
fis-1249	80	28	field	field	NOUN
fis-1249	80	29	components	component	NOUN
fis-1249	80	30	and	and	CCONJ
fis-1249	80	31	v	v	NOUN
fis-1249	80	32	is	be	AUX
fis-1249	80	33	the	the	DET
fis-1249	80	34	rve	rve	PROPN
fis-1249	80	35	volume	volume	PROPN
fis-1249	80	36	.	.	PUNCT
fis-1249	81	1	hill	hill	PROPN
fis-1249	81	2	’s	’s	PART
fis-1249	81	3	lemma	lemma	PROPN
fis-1249	81	4	leads	lead	VERB
fis-1249	81	5	to	to	ADP
fis-1249	81	6	the	the	DET
fis-1249	81	7	following	following	ADJ
fis-1249	81	8	equations	equation	NOUN
fis-1249	81	9	:	:	PUNCT
fis-1249	81	10	1	1	NUM
fis-1249	81	11	1	1	NUM
fis-1249	81	12	1	1	NUM
fis-1249	81	13	1	1	NUM
fis-1249	81	14			NUM
fis-1249	81	15			NUM
fis-1249	81	16			NOUN
fis-1249	81	17			NUM
fis-1249	81	18			NOUN
fis-1249	81	19			NUM
fis-1249	81	20			NOUN
fis-1249	81	21			NUM
fis-1249	81	22	ij	ij	NOUN
fis-1249	81	23	ij	ij	INTJ
fis-1249	82	1	ij	ij	INTJ
fis-1249	82	2	ij	ij	INTJ
fis-1249	83	1	i	i	PRON
fis-1249	83	2	i	i	PRON
fis-1249	84	1	i	i	PRON
fis-1249	85	1	i	i	PRON
fis-1249	85	2	t	t	PROPN
fis-1249	86	1	t	t	PROPN
fis-1249	86	2	dv	dv	PROPN
fis-1249	86	3	s	s	PROPN
fis-1249	86	4	s	s	PROPN
fis-1249	86	5	dv	dv	PROPN
fis-1249	86	6	v	v	ADP
fis-1249	86	7	v	v	NOUN
fis-1249	86	8	d	d	X
fis-1249	86	9	ddv	ddv	NOUN
fis-1249	86	10	e	e	PROPN
fis-1249	86	11	e	e	PROPN
fis-1249	86	12	dv	dv	PROPN
fis-1249	86	13	v	v	PROPN
fis-1249	86	14	v	v	PROPN
fis-1249	86	15	(	(	PUNCT
fis-1249	86	16	7	7	NUM
fis-1249	86	17	)	)	PUNCT
fis-1249	86	18	fig	fig	NOUN
fis-1249	86	19	.	.	PUNCT
fis-1249	86	20	2	2	NUM
fis-1249	86	21	shows	show	VERB
fis-1249	86	22	a	a	DET
fis-1249	86	23	two	two	NUM
fis-1249	86	24	-	-	PUNCT
fis-1249	86	25	dimensional	dimensional	ADJ
fis-1249	86	26	rve	rve	NOUN
fis-1249	86	27	.	.	PUNCT
fis-1249	87	1	periodic	periodic	ADJ
fis-1249	87	2	boundary	boundary	ADJ
fis-1249	87	3	conditions	condition	NOUN
fis-1249	87	4	imply	imply	VERB
fis-1249	87	5	that	that	SCONJ
fis-1249	87	6	,	,	PUNCT
fis-1249	87	7	on	on	ADP
fis-1249	87	8	two	two	NUM
fis-1249	87	9	opposite	opposite	ADJ
fis-1249	87	10	edges	edge	NOUN
fis-1249	87	11	,	,	PUNCT
fis-1249	87	12	the	the	DET
fis-1249	87	13	displacement	displacement	NOUN
fis-1249	87	14	and	and	CCONJ
fis-1249	87	15	the	the	DET
fis-1249	87	16	electric	electric	ADJ
fis-1249	87	17	potential	potential	NOUN
fis-1249	87	18	are	be	AUX
fis-1249	87	19	equal	equal	ADJ
fis-1249	87	20	,	,	PUNCT
fis-1249	87	21	the	the	DET
fis-1249	87	22	stress	stress	NOUN
fis-1249	87	23	vector	vector	NOUN
fis-1249	87	24	and	and	CCONJ
fis-1249	87	25	the	the	DET
fis-1249	87	26	electric	electric	ADJ
fis-1249	87	27	displacement	displacement	NOUN
fis-1249	87	28	vector	vector	NOUN
fis-1249	87	29	are	be	AUX
fis-1249	87	30	opposite	opposite	ADJ
fis-1249	87	31	.	.	PUNCT
fis-1249	88	1	in	in	ADP
fis-1249	88	2	the	the	DET
fis-1249	88	3	implementation	implementation	NOUN
fis-1249	88	4	,	,	PUNCT
fis-1249	88	5	these	these	DET
fis-1249	88	6	constraints	constraint	NOUN
fis-1249	88	7	are	be	AUX
fis-1249	88	8	enforced	enforce	VERB
fis-1249	88	9	by	by	ADP
fis-1249	88	10	prescribing	prescribe	VERB
fis-1249	88	11	the	the	DET
fis-1249	88	12	primal	primal	ADJ
fis-1249	88	13	variables	variable	NOUN
fis-1249	88	14	at	at	ADP
fis-1249	88	15	the	the	DET
fis-1249	88	16	corner	corner	NOUN
fis-1249	88	17	nodes	node	NOUN
fis-1249	88	18	and	and	CCONJ
fis-1249	88	19	using	use	VERB
fis-1249	88	20	the	the	DET
fis-1249	88	21	lagrange	lagrange	NOUN
fis-1249	88	22	multiplier	multipli	ADJ
fis-1249	88	23	method	method	NOUN
fis-1249	88	24	.	.	PUNCT
fis-1249	89	1	figure	figure	NOUN
fis-1249	89	2	2	2	NUM
fis-1249	89	3	:	:	PUNCT
fis-1249	89	4	enforcing	enforce	VERB
fis-1249	89	5	periodic	periodic	ADJ
fis-1249	89	6	boundary	boundary	ADJ
fis-1249	89	7	conditions	condition	NOUN
fis-1249	89	8	during	during	ADP
fis-1249	89	9	the	the	DET
fis-1249	89	10	initial	initial	ADJ
fis-1249	89	11	periodicity	periodicity	NOUN
fis-1249	89	12	of	of	ADP
fis-1249	89	13	the	the	DET
fis-1249	89	14	rve	rve	PROPN
fis-1249	89	15	,	,	PUNCT
fis-1249	89	16	for	for	ADP
fis-1249	89	17	every	every	DET
fis-1249	89	18	respective	respective	ADJ
fis-1249	89	19	pair	pair	NOUN
fis-1249	89	20	of	of	ADP
fis-1249	89	21	nodes	node	NOUN
fis-1249	89	22	on	on	ADP
fis-1249	89	23	the	the	DET
fis-1249	89	24	top	top	ADJ
fis-1249	89	25	–	–	PUNCT
fis-1249	89	26	bottom	bottom	NOUN
fis-1249	89	27	(	(	PUNCT
fis-1249	89	28	4	4	NUM
fis-1249	89	29	3	3	NUM
fis-1249	89	30	1	1	NUM
fis-1249	89	31	2,	2,	NUM
fis-1249	89	32	x	x	NOUN
fis-1249	89	33	x	x	PUNCT
fis-1249	89	34	)	)	PUNCT
fis-1249	89	35	and	and	CCONJ
fis-1249	89	36	right	right	ADJ
fis-1249	89	37	–	–	PUNCT
fis-1249	89	38	left	leave	VERB
fis-1249	89	39	(	(	PUNCT
fis-1249	89	40	1	1	NUM
fis-1249	89	41	4	4	NUM
fis-1249	89	42	2	2	NUM
fis-1249	89	43	3,	3,	NUM
fis-1249	89	44	x	x	NOUN
fis-1249	89	45	x	x	SYM
fis-1249	89	46	)	)	PUNCT
fis-1249	89	47	boundaries	boundary	NOUN
fis-1249	89	48	this	this	DET
fis-1249	89	49	relation	relation	NOUN
fis-1249	89	50	is	be	AUX
fis-1249	89	51	valid	valid	ADJ
fis-1249	89	52	in	in	ADP
fis-1249	89	53	the	the	DET
fis-1249	89	54	reference	reference	NOUN
fis-1249	89	55	configuration	configuration	NOUN
fis-1249	89	56	:	:	PUNCT
fis-1249	89	57	4	4	NUM
fis-1249	89	58	3	3	NUM
fis-1249	89	59	1	1	NUM
fis-1249	89	60	2	2	NUM
fis-1249	89	61	4	4	NUM
fis-1249	89	62	1	1	NUM
fis-1249	89	63			NOUN
fis-1249	89	64			NUM
fis-1249	89	65	x	x	NOUN
fis-1249	89	66	x	x	X
fis-1249	89	67	x	x	SYM
fis-1249	89	68	x	x	SYM
fis-1249	90	1	1	1	NUM
fis-1249	90	2	4	4	NUM
fis-1249	90	3	2	2	NUM
fis-1249	90	4	3	3	NUM
fis-1249	90	5	2	2	NUM
fis-1249	90	6	1	1	NUM
fis-1249	90	7			NOUN
fis-1249	90	8			NUM
fis-1249	90	9	x	x	NOUN
fis-1249	90	10	x	x	X
fis-1249	90	11	x	x	SYM
fis-1249	90	12	x	x	X
fis-1249	90	13	(	(	PUNCT
fis-1249	90	14	8)	8)	NUM
fis-1249	90	15	where	where	SCONJ
fis-1249	90	16	px	px	NOUN
fis-1249	90	17	,	,	PUNCT
fis-1249	90	18	p	p	X
fis-1249	90	19	=	=	NOUN
fis-1249	90	20	1	1	NUM
fis-1249	90	21	,	,	PUNCT
fis-1249	90	22	2	2	NUM
fis-1249	90	23	,	,	PUNCT
fis-1249	90	24	4	4	NUM
fis-1249	90	25	are	be	AUX
fis-1249	90	26	the	the	DET
fis-1249	90	27	position	position	NOUN
fis-1249	90	28	vectors	vector	NOUN
fis-1249	90	29	of	of	ADP
fis-1249	90	30	the	the	DET
fis-1249	90	31	corner	corner	NOUN
fis-1249	90	32	nodes	nod	VERB
fis-1249	90	33	1	1	NUM
fis-1249	90	34	,	,	PUNCT
fis-1249	90	35	2	2	NUM
fis-1249	90	36	,	,	PUNCT
fis-1249	90	37	and	and	CCONJ
fis-1249	90	38	4	4	NUM
fis-1249	90	39	in	in	ADP
fis-1249	90	40	the	the	DET
fis-1249	90	41	undeformed	undeformed	ADJ
fis-1249	90	42	state	state	NOUN
fis-1249	90	43	.	.	PUNCT
fis-1249	91	1	then	then	ADV
fis-1249	91	2	in	in	ADP
fis-1249	91	3	the	the	DET
fis-1249	91	4	deformed	deform	VERB
fis-1249	91	5	configuration	configuration	NOUN
fis-1249	91	6	the	the	DET
fis-1249	91	7	previous	previous	ADJ
fis-1249	91	8	relations	relation	NOUN
fis-1249	91	9	lead	lead	VERB
fis-1249	91	10	to	to	ADP
fis-1249	91	11			NOUN
fis-1249	91	12	4	4	NOUN
fis-1249	92	1	3	3	NUM
fis-1249	92	2	1	1	NUM
fis-1249	92	3	2	2	NUM
fis-1249	92	4	4	4	NUM
fis-1249	92	5	1	1	NUM
fis-1249	92	6			NOUN
fis-1249	92	7			NOUN
fis-1249	92	8	mx	mx	NOUN
fis-1249	92	9	x	x	SYM
fis-1249	92	10	f	f	NOUN
fis-1249	92	11	x	x	SYM
fis-1249	92	12	x	x	SYM
fis-1249	92	13			NOUN
fis-1249	92	14	1	1	VERB
fis-1249	92	15	4	4	NUM
fis-1249	92	16	2	2	NUM
fis-1249	92	17	3	3	NUM
fis-1249	92	18	2	2	NUM
fis-1249	92	19	1	1	NUM
fis-1249	92	20			NOUN
fis-1249	93	1			NOUN
fis-1249	93	2	mx	mx	NOUN
fis-1249	93	3	x	x	SYM
fis-1249	93	4	f	f	NOUN
fis-1249	93	5	x	x	SYM
fis-1249	93	6	x	x	X
fis-1249	93	7	(	(	PUNCT
fis-1249	93	8	9	9	NUM
fis-1249	93	9	)	)	PUNCT
fis-1249	93	10	where	where	SCONJ
fis-1249	93	11	mf	mf	NOUN
fis-1249	93	12	is	be	AUX
fis-1249	93	13	the	the	DET
fis-1249	93	14	deformation	deformation	NOUN
fis-1249	93	15	gradient	gradient	NOUN
fis-1249	93	16	.	.	PUNCT
fis-1249	94	1	now	now	ADV
fis-1249	94	2	if	if	SCONJ
fis-1249	94	3	the	the	DET
fis-1249	94	4	position	position	NOUN
fis-1249	94	5	vectors	vector	NOUN
fis-1249	94	6	of	of	ADP
fis-1249	94	7	the	the	DET
fis-1249	94	8	corner	corner	NOUN
fis-1249	94	9	nodes	node	NOUN
fis-1249	94	10	in	in	ADP
fis-1249	94	11	the	the	DET
fis-1249	94	12	deformed	deform	VERB
fis-1249	94	13	state	state	NOUN
fis-1249	94	14	are	be	AUX
fis-1249	94	15	prescribed	prescribe	VERB
fis-1249	94	16	according	accord	VERB
fis-1249	94	17	to	to	ADP
fis-1249	94	18	:	:	PUNCT
fis-1249	94	19	p	p	NOUN
fis-1249	94	20	m	m	NOUN
fis-1249	94	21	px	px	ADP
fis-1249	94	22	f	f	NOUN
fis-1249	94	23	x	x	PUNCT
fis-1249	94	24	with	with	ADP
fis-1249	94	25	p	p	NOUN
fis-1249	94	26	=	=	SYM
fis-1249	94	27	1	1	NUM
fis-1249	94	28	,	,	PUNCT
fis-1249	94	29	2	2	NUM
fis-1249	94	30	,	,	PUNCT
fis-1249	94	31	4	4	NUM
fis-1249	94	32	(	(	PUNCT
fis-1249	94	33	10	10	NUM
fis-1249	94	34	)	)	PUNCT
fis-1249	94	35	then	then	ADV
fis-1249	94	36	the	the	DET
fis-1249	94	37	periodic	periodic	ADJ
fis-1249	94	38	boundary	boundary	ADJ
fis-1249	94	39	conditions	condition	NOUN
fis-1249	94	40	may	may	AUX
fis-1249	94	41	be	be	AUX
fis-1249	94	42	rewritten	rewrite	VERB
fis-1249	94	43	in	in	ADP
fis-1249	94	44	terms	term	NOUN
fis-1249	94	45	of	of	ADP
fis-1249	94	46	displacement	displacement	ADJ
fis-1249	94	47	and	and	CCONJ
fis-1249	94	48	electric	electric	ADJ
fis-1249	94	49	potential	potential	NOUN
fis-1249	94	50	as	as	ADP
fis-1249	94	51	:	:	PUNCT
fis-1249	94	52	c.	c.	PROPN
fis-1249	94	53	maruccio	maruccio	PROPN
fis-1249	94	54	et	et	PROPN
fis-1249	94	55	alii	alii	PROPN
fis-1249	94	56	,	,	PUNCT
fis-1249	94	57	frattura	frattura	PROPN
fis-1249	94	58	ed	ed	PROPN
fis-1249	94	59	integrità	integrità	PROPN
fis-1249	94	60	strutturale	strutturale	PROPN
fis-1249	94	61	,	,	PUNCT
fis-1249	94	62	29	29	NUM
fis-1249	94	63	(	(	PUNCT
fis-1249	94	64	2014	2014	NUM
fis-1249	94	65	)	)	PUNCT
fis-1249	94	66	49	49	NUM
fis-1249	94	67	-	-	SYM
fis-1249	94	68	60	60	NUM
fis-1249	94	69	;	;	PUNCT
fis-1249	94	70	doi	doi	NOUN
fis-1249	94	71	:	:	PUNCT
fis-1249	95	1	10.3221	10.3221	NUM
fis-1249	95	2	/	/	SYM
fis-1249	95	3	igf	igf	PROPN
fis-1249	95	4	-	-	PUNCT
fis-1249	95	5	esis.29.06	esis.29.06	PROPN
fis-1249	95	6	53	53	NUM
fis-1249	95	7			NOUN
fis-1249	96	1			SYM
fis-1249	96	2			NOUN
fis-1249	96	3			SYM
fis-1249	96	4			NOUN
fis-1249	96	5			PUNCT
fis-1249	96	6			NOUN
fis-1249	96	7			NOUN
fis-1249	96	8	4	4	NUM
fis-1249	96	9	3	3	NUM
fis-1249	96	10	1	1	NUM
fis-1249	96	11	2	2	NUM
fis-1249	96	12	4	4	NUM
fis-1249	96	13	1	1	NUM
fis-1249	96	14	4	4	NUM
fis-1249	96	15	3	3	NUM
fis-1249	96	16	1	1	NUM
fis-1249	96	17	2	2	NUM
fis-1249	96	18	4	4	NUM
fis-1249	96	19	1	1	NUM
fis-1249	96	20	1	1	NUM
fis-1249	96	21	4	4	NUM
fis-1249	96	22	2	2	NUM
fis-1249	96	23	3	3	NUM
fis-1249	96	24	2	2	NUM
fis-1249	96	25	1	1	NUM
fis-1249	96	26	1	1	NUM
fis-1249	96	27	4	4	NUM
fis-1249	96	28	2	2	NUM
fis-1249	96	29	3	3	NUM
fis-1249	96	30	2	2	NUM
fis-1249	96	31	1	1	NUM
fis-1249	96	32			NOUN
fis-1249	96	33			NOUN
fis-1249	96	34			NOUN
fis-1249	96	35			NOUN
fis-1249	96	36			NOUN
fis-1249	96	37			NOUN
fis-1249	96	38			NOUN
fis-1249	96	39			NOUN
fis-1249	96	40			PROPN
fis-1249	96	41			PROPN
fis-1249	96	42			PROPN
fis-1249	96	43			PROPN
fis-1249	96	44			PROPN
fis-1249	96	45			PROPN
fis-1249	96	46			PROPN
fis-1249	96	47			PROPN
fis-1249	96	48			PROPN
fis-1249	96	49			PROPN
fis-1249	96	50			PROPN
fis-1249	96	51			PROPN
fis-1249	96	52			PROPN
fis-1249	96	53			PROPN
fis-1249	96	54			PROPN
fis-1249	96	55			PROPN
fis-1249	96	56			PROPN
fis-1249	96	57			PROPN
fis-1249	96	58			PROPN
fis-1249	96	59			PROPN
fis-1249	96	60	u	u	NOUN
fis-1249	96	61	u	u	NOUN
fis-1249	96	62	u	u	NOUN
fis-1249	96	63	u	u	X
fis-1249	96	64	u	u	X
fis-1249	96	65	u	u	X
fis-1249	96	66	u	u	NOUN
fis-1249	96	67	u	u	NOUN
fis-1249	96	68	(	(	PUNCT
fis-1249	96	69	11	11	NUM
fis-1249	96	70	)	)	PUNCT
fis-1249	96	71	where	where	SCONJ
fis-1249	96	72	pu	pu	PROPN
fis-1249	96	73	and	and	CCONJ
fis-1249	96	74	p	p	NUM
fis-1249	96	75	,	,	PUNCT
fis-1249	96	76	p	p	X
fis-1249	96	77	=	=	NOUN
fis-1249	96	78	1	1	NUM
fis-1249	96	79	,	,	PUNCT
fis-1249	96	80	2	2	NUM
fis-1249	96	81	,	,	PUNCT
fis-1249	96	82	4	4	NUM
fis-1249	96	83	are	be	AUX
fis-1249	96	84	the	the	DET
fis-1249	96	85	position	position	NOUN
fis-1249	96	86	vectors	vector	NOUN
fis-1249	96	87	and	and	CCONJ
fis-1249	96	88	the	the	DET
fis-1249	96	89	electric	electric	ADJ
fis-1249	96	90	potential	potential	NOUN
fis-1249	96	91	of	of	ADP
fis-1249	96	92	the	the	DET
fis-1249	96	93	corner	corner	NOUN
fis-1249	96	94	nodes	nod	VERB
fis-1249	96	95	1	1	NUM
fis-1249	96	96	,	,	PUNCT
fis-1249	96	97	2	2	NUM
fis-1249	96	98	,	,	PUNCT
fis-1249	96	99	and	and	CCONJ
fis-1249	96	100	4	4	NUM
fis-1249	96	101	in	in	ADP
fis-1249	96	102	the	the	DET
fis-1249	96	103	undeformed	undeformed	ADJ
fis-1249	96	104	state	state	NOUN
fis-1249	96	105	and	and	CCONJ
fis-1249	96	106	(	(	PUNCT
fis-1249	96	107	4	4	NUM
fis-1249	96	108	3	3	NUM
fis-1249	96	109	1	1	NUM
fis-1249	96	110	2	2	NUM
fis-1249	96	111	1	1	NUM
fis-1249	96	112	4	4	NUM
fis-1249	96	113	2	2	NUM
fis-1249	96	114	3	3	NUM
fis-1249	96	115	,	,	PUNCT
fis-1249	96	116	,	,	PUNCT
fis-1249	96	117	,	,	PUNCT
fis-1249	96	118			PROPN
fis-1249	96	119			PROPN
fis-1249	96	120			PROPN
fis-1249	96	121	u	u	VERB
fis-1249	96	122	u	u	PROPN
fis-1249	96	123	u	u	NOUN
fis-1249	96	124	u	u	NOUN
fis-1249	96	125	)	)	PUNCT
fis-1249	96	126	,	,	PUNCT
fis-1249	96	127	(	(	PUNCT
fis-1249	96	128	4	4	NUM
fis-1249	96	129	3	3	NUM
fis-1249	96	130	1	1	NUM
fis-1249	96	131	2	2	NUM
fis-1249	96	132	1	1	NUM
fis-1249	96	133	4	4	NUM
fis-1249	96	134	2	2	NUM
fis-1249	96	135	3	3	NUM
fis-1249	96	136	,	,	PUNCT
fis-1249	96	137	,	,	PUNCT
fis-1249	96	138	,	,	PUNCT
fis-1249	96	139			NOUN
fis-1249	96	140			NOUN
fis-1249	96	141			NOUN
fis-1249	96	142			NOUN
fis-1249	96	143			PROPN
fis-1249	96	144			PROPN
fis-1249	96	145			PROPN
fis-1249	96	146	)	)	PUNCT
fis-1249	96	147	are	be	AUX
fis-1249	96	148	position	position	NOUN
fis-1249	96	149	vectors	vector	NOUN
fis-1249	96	150	and	and	CCONJ
fis-1249	96	151	electric	electric	ADJ
fis-1249	96	152	potential	potential	NOUN
fis-1249	96	153	for	for	ADP
fis-1249	96	154	every	every	DET
fis-1249	96	155	respective	respective	ADJ
fis-1249	96	156	pair	pair	NOUN
fis-1249	96	157	of	of	ADP
fis-1249	96	158	nodes	node	NOUN
fis-1249	96	159	on	on	ADP
fis-1249	96	160	the	the	DET
fis-1249	96	161	top	top	ADJ
fis-1249	96	162	–	–	PUNCT
fis-1249	96	163	bottom	bottom	ADJ
fis-1249	96	164	and	and	CCONJ
fis-1249	96	165	right	right	ADJ
fis-1249	96	166	–	–	PUNCT
fis-1249	96	167	left	leave	VERB
fis-1249	96	168	boundaries	boundary	NOUN
fis-1249	96	169	of	of	ADP
fis-1249	96	170	the	the	DET
fis-1249	96	171	rve	rve	PROPN
fis-1249	96	172	.	.	PUNCT
fis-1249	97	1	once	once	SCONJ
fis-1249	97	2	the	the	DET
fis-1249	97	3	rve	rve	PROPN
fis-1249	97	4	problem	problem	NOUN
fis-1249	97	5	is	be	AUX
fis-1249	97	6	solved	solve	VERB
fis-1249	97	7	,	,	PUNCT
fis-1249	97	8	the	the	DET
fis-1249	97	9	macroscopic	macroscopic	ADJ
fis-1249	97	10	material	material	NOUN
fis-1249	97	11	properties	property	NOUN
fis-1249	97	12	are	be	AUX
fis-1249	97	13	determined	determine	VERB
fis-1249	97	14	from	from	ADP
fis-1249	97	15	the	the	DET
fis-1249	97	16	homogenization	homogenization	NOUN
fis-1249	97	17	procedure	procedure	NOUN
fis-1249	97	18	and	and	CCONJ
fis-1249	97	19	the	the	DET
fis-1249	97	20	final	final	ADJ
fis-1249	97	21	constitutive	constitutive	ADJ
fis-1249	97	22	equations	equation	NOUN
fis-1249	97	23	read	read	VERB
fis-1249	97	24	:	:	PUNCT
fis-1249	97	25			NOUN
fis-1249	97	26			ADJ
fis-1249	97	27			NOUN
fis-1249	98	1			PROPN
fis-1249	98	2			PROPN
fis-1249	98	3			PROPN
fis-1249	98	4			PROPN
fis-1249	99	1			NOUN
fis-1249	99	2			PUNCT
fis-1249	100	1			PROPN
fis-1249	100	2			PROPN
fis-1249	100	3			PROPN
fis-1249	100	4			NOUN
fis-1249	100	5			PROPN
fis-1249	100	6			NOUN
fis-1249	100	7			NOUN
fis-1249	100	8	tc	tc	NUM
fis-1249	100	9	et	et	NOUN
fis-1249	100	10	s	s	PROPN
fis-1249	100	11	d	d	X
fis-1249	100	12	ee	ee	INTJ
fis-1249	100	13			X
fis-1249	100	14	(	(	PUNCT
fis-1249	100	15	12	12	NUM
fis-1249	100	16	)	)	PUNCT
fis-1249	100	17	where	where	SCONJ
fis-1249	100	18	the	the	DET
fis-1249	100	19	macroscopic	macroscopic	ADJ
fis-1249	100	20	(	(	PUNCT
fis-1249	100	21	overall	overall	ADJ
fis-1249	100	22	,	,	PUNCT
fis-1249	100	23	effective	effective	ADJ
fis-1249	100	24	)	)	PUNCT
fis-1249	100	25	mechanical	mechanical	ADJ
fis-1249	100	26	moduli	modulus	NOUN
fis-1249	100	27	c	c	PROPN
fis-1249	100	28	,	,	PUNCT
fis-1249	100	29	piezoelectric	piezoelectric	NOUN
fis-1249	100	30	moduli	modulus	NOUN
fis-1249	100	31	e	e	NOUN
fis-1249	100	32	,	,	PUNCT
fis-1249	100	33	and	and	CCONJ
fis-1249	100	34	dielectric	dielectric	ADJ
fis-1249	100	35	moduli	modulus	NOUN
fis-1249	100	36			PROPN
fis-1249	100	37	,	,	PUNCT
fis-1249	100	38	are	be	AUX
fis-1249	100	39	introduced	introduce	VERB
fis-1249	100	40	.	.	PUNCT
fis-1249	101	1	the	the	DET
fis-1249	101	2	overall	overall	ADJ
fis-1249	101	3	material	material	NOUN
fis-1249	101	4	behaviour	behaviour	NOUN
fis-1249	101	5	resulting	result	VERB
fis-1249	101	6	from	from	ADP
fis-1249	101	7	the	the	DET
fis-1249	101	8	homogenization	homogenization	NOUN
fis-1249	101	9	procedure	procedure	NOUN
fis-1249	101	10	is	be	AUX
fis-1249	101	11	nonlinear	nonlinear	ADJ
fis-1249	101	12	due	due	ADP
fis-1249	101	13	to	to	ADP
fis-1249	101	14	the	the	DET
fis-1249	101	15	electromechanical	electromechanical	ADJ
fis-1249	101	16	frictionless	frictionless	NOUN
fis-1249	101	17	contact	contact	NOUN
fis-1249	101	18	conditions	condition	NOUN
fis-1249	101	19	at	at	ADP
fis-1249	101	20	the	the	DET
fis-1249	101	21	microscale	microscale	NOUN
fis-1249	101	22	.	.	PUNCT
fis-1249	102	1	therefore	therefore	ADV
fis-1249	102	2	,	,	PUNCT
fis-1249	102	3	the	the	DET
fis-1249	102	4	coefficients	coefficient	NOUN
fis-1249	102	5	in	in	ADP
fis-1249	102	6	eq	eq	ADP
fis-1249	102	7	.	.	PUNCT
fis-1249	103	1	(	(	PUNCT
fis-1249	103	2	12	12	NUM
fis-1249	103	3	)	)	PUNCT
fis-1249	103	4	are	be	AUX
fis-1249	103	5	to	to	PART
fis-1249	103	6	be	be	AUX
fis-1249	103	7	considered	consider	VERB
fis-1249	103	8	secant	secant	ADJ
fis-1249	103	9	values	value	NOUN
fis-1249	103	10	determined	determine	VERB
fis-1249	103	11	for	for	ADP
fis-1249	103	12	a	a	DET
fis-1249	103	13	given	give	VERB
fis-1249	103	14	load	load	NOUN
fis-1249	103	15	increment	increment	NOUN
fis-1249	103	16	.	.	PUNCT
fis-1249	104	1	for	for	ADP
fis-1249	104	2	the	the	DET
fis-1249	104	3	next	next	ADJ
fis-1249	104	4	steps	step	NOUN
fis-1249	104	5	we	we	PRON
fis-1249	104	6	define	define	VERB
fis-1249	104	7	the	the	DET
fis-1249	104	8	constitutive	constitutive	ADJ
fis-1249	104	9	matrix	matrix	NOUN
fis-1249	104	10	macro	macro	NOUN
fis-1249	104	11	solidd	solidd	NOUN
fis-1249	104	12	and	and	CCONJ
fis-1249	104	13	the	the	DET
fis-1249	104	14	generalized	generalize	VERB
fis-1249	104	15	green	green	ADJ
fis-1249	104	16	lagrange	lagrange	PROPN
fis-1249	104	17	strain	strain	NOUN
fis-1249	104	18	vector	vector	NOUN
fis-1249	104	19	ge	ge	PROPN
fis-1249	104	20	of	of	ADP
fis-1249	104	21	the	the	DET
fis-1249	104	22	homogenized	homogenize	VERB
fis-1249	104	23	solid	solid	ADJ
fis-1249	104	24	as	as	SCONJ
fis-1249	104	25	:	:	PUNCT
fis-1249	104	26			NOUN
fis-1249	104	27			PROPN
fis-1249	104	28			PROPN
fis-1249	104	29			PROPN
fis-1249	104	30			NOUN
fis-1249	105	1			PROPN
fis-1249	105	2			ADJ
fis-1249	105	3			NUM
fis-1249	105	4	macro	macro	NOUN
fis-1249	105	5	solid	solid	ADJ
fis-1249	105	6	tc	tc	ADP
fis-1249	105	7	e	e	X
fis-1249	105	8	d	d	X
fis-1249	105	9	e	e	X
fis-1249	105	10			PUNCT
fis-1249	105	11			NOUN
fis-1249	105	12			PROPN
fis-1249	105	13			PROPN
fis-1249	105	14			PROPN
fis-1249	106	1			PROPN
fis-1249	106	2			PROPN
fis-1249	106	3			NOUN
fis-1249	106	4	g	g	NOUN
fis-1249	106	5	s	s	ADP
fis-1249	106	6	e	e	X
fis-1249	106	7	e	e	X
fis-1249	106	8	(	(	PUNCT
fis-1249	106	9	13	13	NUM
fis-1249	106	10	)	)	PUNCT
fis-1249	106	11	within	within	ADP
fis-1249	106	12	this	this	DET
fis-1249	106	13	approach	approach	NOUN
fis-1249	106	14	only	only	ADV
fis-1249	106	15	constitutive	constitutive	ADJ
fis-1249	106	16	equations	equation	NOUN
fis-1249	106	17	at	at	ADP
fis-1249	106	18	the	the	DET
fis-1249	106	19	rve	rve	PROPN
fis-1249	106	20	scale	scale	NOUN
fis-1249	106	21	are	be	AUX
fis-1249	106	22	required	require	VERB
fis-1249	106	23	.	.	PUNCT
fis-1249	107	1	macroscale	macroscale	PROPN
fis-1249	107	2	formulation	formulation	NOUN
fis-1249	107	3	ased	ase	VERB
fis-1249	107	4	on	on	ADP
fis-1249	107	5	the	the	DET
fis-1249	107	6	analysis	analysis	NOUN
fis-1249	107	7	of	of	ADP
fis-1249	107	8	the	the	DET
fis-1249	107	9	shell	shell	NOUN
fis-1249	107	10	kinematics	kinematic	NOUN
fis-1249	107	11	,	,	PUNCT
fis-1249	107	12	see	see	VERB
fis-1249	107	13	fig.3	fig.3	PROPN
fis-1249	107	14	,	,	PUNCT
fis-1249	107	15	the	the	DET
fis-1249	107	16	green	green	ADJ
fis-1249	107	17	-	-	PUNCT
fis-1249	107	18	lagrange	lagrange	NOUN
fis-1249	107	19	strains	strain	NOUN
fis-1249	107	20	and	and	CCONJ
fis-1249	107	21	the	the	DET
fis-1249	107	22	electric	electric	ADJ
fis-1249	107	23	field	field	NOUN
fis-1249	107	24	components	component	NOUN
fis-1249	107	25	in	in	ADP
fis-1249	107	26	convective	convective	ADJ
fis-1249	107	27	coordinates	coordinate	NOUN
fis-1249	107	28	can	can	AUX
fis-1249	107	29	be	be	AUX
fis-1249	107	30	arranged	arrange	VERB
fis-1249	107	31	in	in	ADP
fis-1249	107	32	a	a	DET
fis-1249	107	33	generalized	generalized	ADJ
fis-1249	107	34	strain	strain	NOUN
fis-1249	107	35	column	column	NOUN
fis-1249	107	36	vector	vector	NOUN
fis-1249	107	37	:	:	PUNCT
fis-1249	107	38	0	0	NUM
fis-1249	108	1	1	1	NUM
fis-1249	108	2	0	0	NUM
fis-1249	108	3	1	1	NUM
fis-1249	108	4	11	11	NUM
fis-1249	108	5	22	22	NUM
fis-1249	108	6	12	12	NUM
fis-1249	108	7	11	11	NUM
fis-1249	108	8	22	22	NUM
fis-1249	108	9	12	12	NUM
fis-1249	108	10	1	1	NUM
fis-1249	108	11	2	2	NUM
fis-1249	108	12	1	1	NUM
fis-1249	108	13	2	2	NUM
fis-1249	108	14	33	33	NUM
fis-1249	108	15	33	33	NUM
fis-1249	108	16	3	3	NUM
fis-1249	108	17	3	3	NUM
fis-1249	108	18	,	,	PUNCT
fis-1249	108	19	,	,	PUNCT
fis-1249	108	20	2	2	NUM
fis-1249	108	21	,	,	PUNCT
fis-1249	108	22	,	,	PUNCT
fis-1249	108	23	,	,	PUNCT
fis-1249	108	24	2	2	NUM
fis-1249	108	25	,	,	PUNCT
fis-1249	108	26	,	,	PUNCT
fis-1249	108	27	,	,	PUNCT
fis-1249	108	28	,	,	PUNCT
fis-1249	108	29	,	,	PUNCT
fis-1249	108	30	,	,	PUNCT
fis-1249	108	31	,	,	PUNCT
fis-1249	108	32	,	,	PUNCT
fis-1249	108	33			PROPN
fis-1249	108	34			PROPN
fis-1249	108	35			PROPN
fis-1249	108	36			VERB
fis-1249	108	37			X
fis-1249	108	38			VERB
fis-1249	108	39			NUM
fis-1249	108	40			NUM
fis-1249	108	41			PROPN
fis-1249	108	42			PROPN
fis-1249	108	43			PROPN
fis-1249	108	44			VERB
fis-1249	108	45			PROPN
fis-1249	108	46	t	t	PROPN
fis-1249	108	47	s	s	PART
fis-1249	108	48	e	e	NOUN
fis-1249	108	49	e	e	X
fis-1249	108	50	e	e	X
fis-1249	108	51	ee	ee	PROPN
fis-1249	108	52	(	(	PUNCT
fis-1249	108	53	14	14	NUM
fis-1249	108	54	)	)	PUNCT
fis-1249	108	55	figure	figure	NOUN
fis-1249	108	56	3	3	NUM
fis-1249	108	57	:	:	PUNCT
fis-1249	108	58	shell	shell	NOUN
fis-1249	108	59	kinematics	kinematic	NOUN
fis-1249	108	60	.	.	PUNCT
fis-1249	109	1	b	b	X
fis-1249	109	2	c.	c.	PROPN
fis-1249	109	3	maruccio	maruccio	PROPN
fis-1249	109	4	et	et	PROPN
fis-1249	109	5	alii	alii	PROPN
fis-1249	109	6	,	,	PUNCT
fis-1249	109	7	frattura	frattura	PROPN
fis-1249	109	8	ed	ed	PROPN
fis-1249	109	9	integrità	integrità	PROPN
fis-1249	109	10	strutturale	strutturale	PROPN
fis-1249	109	11	,	,	PUNCT
fis-1249	109	12	29	29	NUM
fis-1249	109	13	(	(	PUNCT
fis-1249	109	14	2014	2014	NUM
fis-1249	109	15	)	)	PUNCT
fis-1249	109	16	49	49	NUM
fis-1249	109	17	-	-	SYM
fis-1249	109	18	60	60	NUM
fis-1249	109	19	;	;	PUNCT
fis-1249	109	20	doi	doi	NOUN
fis-1249	109	21	:	:	PUNCT
fis-1249	109	22	10.3221	10.3221	NUM
fis-1249	109	23	/	/	SYM
fis-1249	109	24	igf	igf	PROPN
fis-1249	109	25	-	-	PUNCT
fis-1249	109	26	esis.29.06	esis.29.06	NOUN
fis-1249	109	27	54	54	NUM
fis-1249	109	28	in	in	ADP
fis-1249	109	29	eq	eq	NOUN
fis-1249	109	30	.	.	PROPN
fis-1249	109	31	14	14	NUM
fis-1249	109	32	the	the	DET
fis-1249	109	33	membrane	membrane	NOUN
fis-1249	109	34	strain	strain	NOUN
fis-1249	109	35	components	component	NOUN
fis-1249	109	36			ADJ
fis-1249	109	37	and	and	CCONJ
fis-1249	109	38	the	the	DET
fis-1249	109	39	change	change	NOUN
fis-1249	109	40	of	of	ADP
fis-1249	109	41	curvature	curvature	NOUN
fis-1249	109	42			NOUN
fis-1249	109	43	read	read	NOUN
fis-1249	109	44	:	:	PUNCT
fis-1249	109	45	,	,	PUNCT
fis-1249	109	46	,	,	PUNCT
fis-1249	109	47	0	0	NUM
fis-1249	109	48	,	,	PUNCT
fis-1249	109	49	0	0	NUM
fis-1249	109	50	,	,	PUNCT
fis-1249	109	51	1	1	NUM
fis-1249	109	52	(	(	PUNCT
fis-1249	109	53	)	)	PUNCT
fis-1249	109	54	2	2	NUM
fis-1249	110	1			X
fis-1249	110	2			NOUN
fis-1249	110	3			NOUN
fis-1249	110	4			ADP
fis-1249	111	1			NUM
fis-1249	111	2			ADJ
fis-1249	111	3			NOUN
fis-1249	111	4	ψ	ψ	NOUN
fis-1249	111	5	ψ	ψ	X
fis-1249	111	6	ψ	ψ	X
fis-1249	111	7	ψ	ψ	X
fis-1249	111	8	(	(	PUNCT
fis-1249	111	9	15	15	NUM
fis-1249	111	10	)	)	PUNCT
fis-1249	111	11	0	0	NUM
fis-1249	111	12	0	0	NUM
fis-1249	111	13	,	,	PUNCT
fis-1249	111	14	,	,	PUNCT
fis-1249	111	15	,	,	PUNCT
fis-1249	111	16	,	,	PUNCT
fis-1249	111	17	0	0	NUM
fis-1249	111	18	,	,	PUNCT
fis-1249	111	19	,	,	PUNCT
fis-1249	111	20	0	0	NUM
fis-1249	111	21	,	,	PUNCT
fis-1249	111	22	,	,	PUNCT
fis-1249	111	23	1	1	NUM
fis-1249	111	24	(	(	PUNCT
fis-1249	111	25	)	)	PUNCT
fis-1249	111	26	2	2	NUM
fis-1249	111	27	2	2	NUM
fis-1249	111	28	2	2	NUM
fis-1249	111	29			NOUN
fis-1249	111	30			PROPN
fis-1249	111	31			PROPN
fis-1249	111	32			NOUN
fis-1249	111	33			X
fis-1249	111	34			PROPN
fis-1249	111	35			PROPN
fis-1249	111	36			PROPN
fis-1249	111	37			PROPN
fis-1249	111	38			PROPN
fis-1249	111	39			ADJ
fis-1249	111	40			ADJ
fis-1249	111	41			NOUN
fis-1249	111	42			VERB
fis-1249	111	43			NOUN
fis-1249	111	44			NUM
fis-1249	111	45	h	h	NOUN
fis-1249	111	46	h	h	NOUN
fis-1249	111	47	ψ	ψ	NOUN
fis-1249	111	48	d	d	X
fis-1249	111	49	ψ	ψ	X
fis-1249	111	50	d	d	X
fis-1249	111	51	ψ	ψ	X
fis-1249	111	52	g	g	NOUN
fis-1249	111	53	ψ	ψ	X
fis-1249	111	54	g	g	PROPN
fis-1249	111	55	(	(	PUNCT
fis-1249	111	56	16	16	NUM
fis-1249	111	57	)	)	PUNCT
fis-1249	111	58	where	where	SCONJ
fis-1249	111	59	comma	comma	NOUN
fis-1249	111	60	indicates	indicate	VERB
fis-1249	111	61	partial	partial	ADJ
fis-1249	111	62	derivation	derivation	NOUN
fis-1249	111	63	,	,	PUNCT
fis-1249	111	64	greek	greek	NOUN
fis-1249	111	65	indices	index	NOUN
fis-1249	111	66	take	take	VERB
fis-1249	111	67	the	the	DET
fis-1249	111	68	values	value	NOUN
fis-1249	111	69	1	1	NUM
fis-1249	111	70	,	,	PUNCT
fis-1249	111	71	2	2	NUM
fis-1249	111	72	;	;	PUNCT
fis-1249	111	73	0,ψ	0,ψ	NOUN
fis-1249	111	74	ψ	ψ	NOUN
fis-1249	111	75	are	be	AUX
fis-1249	111	76	respectively	respectively	ADV
fis-1249	111	77	the	the	DET
fis-1249	111	78	current	current	ADJ
fis-1249	111	79	and	and	CCONJ
fis-1249	111	80	initial	initial	ADJ
fis-1249	111	81	position	position	NOUN
fis-1249	111	82	vectors	vector	NOUN
fis-1249	111	83	of	of	ADP
fis-1249	111	84	the	the	DET
fis-1249	111	85	shell	shell	ADJ
fis-1249	111	86	middle	middle	ADJ
fis-1249	111	87	surface	surface	NOUN
fis-1249	111	88	,	,	PUNCT
fis-1249	111	89	g	g	PROPN
fis-1249	111	90	is	be	AUX
fis-1249	111	91	the	the	DET
fis-1249	111	92	initial	initial	ADJ
fis-1249	111	93	shell	shell	NOUN
fis-1249	111	94	director	director	NOUN
fis-1249	111	95	and	and	CCONJ
fis-1249	111	96	0h	0h	PROPN
fis-1249	111	97	is	be	AUX
fis-1249	111	98	the	the	DET
fis-1249	111	99	initial	initial	ADJ
fis-1249	111	100	shell	shell	NOUN
fis-1249	111	101	thickness	thickness	NOUN
fis-1249	111	102	.	.	PUNCT
fis-1249	112	1	moreover	moreover	ADV
fis-1249	112	2	we	we	PRON
fis-1249	112	3	have	have	AUX
fis-1249	112	4	introduced	introduce	VERB
fis-1249	112	5	the	the	DET
fis-1249	112	6	quantity	quantity	NOUN
fis-1249	112	7	:	:	PUNCT
fis-1249	112	8	0	0	NUM
fis-1249	112	9	1	1	NUM
fis-1249	112	10	2	2	NUM
fis-1249	112	11	1	1	NUM
fis-1249	112	12	2	2	NUM
fis-1249	112	13	(	(	PUNCT
fis-1249	112	14	,	,	PUNCT
fis-1249	112	15	)	)	PUNCT
fis-1249	112	16	(	(	PUNCT
fis-1249	112	17	,	,	PUNCT
fis-1249	112	18	)	)	PUNCT
fis-1249	112	19	2	2	NUM
fis-1249	112	20			ADJ
fis-1249	112	21			NOUN
fis-1249	112	22			ADP
fis-1249	112	23			NOUN
fis-1249	112	24			PUNCT
fis-1249	112	25	h	h	NOUN
fis-1249	112	26	d	d	NOUN
fis-1249	112	27	a	a	PRON
fis-1249	112	28	(	(	PUNCT
fis-1249	112	29	17	17	NUM
fis-1249	112	30	)	)	PUNCT
fis-1249	112	31	where	where	SCONJ
fis-1249	112	32	1	1	NUM
fis-1249	112	33	2,	2,	NUM
fis-1249	112	34			NOUN
fis-1249	112	35	are	be	AUX
fis-1249	112	36	the	the	DET
fis-1249	112	37	natural	natural	ADJ
fis-1249	112	38	coordinates	coordinate	NOUN
fis-1249	112	39	of	of	ADP
fis-1249	112	40	the	the	DET
fis-1249	112	41	shell	shell	ADJ
fis-1249	112	42	middle	middle	ADJ
fis-1249	112	43	surface	surface	NOUN
fis-1249	112	44	,	,	PUNCT
fis-1249	112	45			NOUN
fis-1249	112	46	1	1	VERB
fis-1249	112	47	2	2	NUM
fis-1249	112	48	0	0	NUM
fis-1249	112	49	,	,	PUNCT
fis-1249	112	50			ADJ
fis-1249	112	51			NOUN
fis-1249	112	52			PUNCT
fis-1249	112	53			NUM
fis-1249	112	54	h	h	NOUN
fis-1249	112	55	h	h	NOUN
fis-1249	112	56	is	be	AUX
fis-1249	112	57	the	the	DET
fis-1249	112	58	thickness	thickness	NOUN
fis-1249	112	59	stretch	stretch	NOUN
fis-1249	112	60	,	,	PUNCT
fis-1249	112	61	h	h	NOUN
fis-1249	112	62	is	be	AUX
fis-1249	112	63	the	the	DET
fis-1249	112	64	current	current	ADJ
fis-1249	112	65	shell	shell	NOUN
fis-1249	112	66	thickness	thickness	NOUN
fis-1249	112	67	and	and	CCONJ
fis-1249	112	68	a	a	PRON
fis-1249	112	69	is	be	AUX
fis-1249	112	70	the	the	DET
fis-1249	112	71	current	current	ADJ
fis-1249	112	72	normal	normal	ADJ
fis-1249	112	73	.	.	PUNCT
fis-1249	113	1	furthermore	furthermore	ADV
fis-1249	113	2	in	in	ADP
fis-1249	113	3	eq.14	eq.14	NOUN
fis-1249	113	4	,	,	PUNCT
fis-1249	113	5	the	the	DET
fis-1249	113	6	shear	shear	NOUN
fis-1249	113	7	strain	strain	NOUN
fis-1249	113	8	components	component	NOUN
fis-1249	113	9			NOUN
fis-1249	113	10	take	take	VERB
fis-1249	113	11	the	the	DET
fis-1249	113	12	form	form	NOUN
fis-1249	113	13	:	:	PUNCT
fis-1249	113	14	0	0	NUM
fis-1249	113	15	,	,	PUNCT
fis-1249	113	16	0,2	0,2	NUM
fis-1249	113	17			NUM
fis-1249	113	18			X
fis-1249	113	19			NOUN
fis-1249	113	20			NOUN
fis-1249	114	1			PROPN
fis-1249	114	2			PROPN
fis-1249	114	3			NUM
fis-1249	114	4			PROPN
fis-1249	114	5			PROPN
fis-1249	114	6			PROPN
fis-1249	114	7	h	h	NOUN
fis-1249	114	8	ψ	ψ	X
fis-1249	114	9	d	d	X
fis-1249	114	10	ψ	ψ	X
fis-1249	114	11	g	g	PROPN
fis-1249	114	12	(	(	PUNCT
fis-1249	114	13	18	18	NUM
fis-1249	114	14	)	)	PUNCT
fis-1249	114	15	and	and	CCONJ
fis-1249	114	16	the	the	DET
fis-1249	114	17	electric	electric	ADJ
fis-1249	114	18	components	component	NOUN
fis-1249	114	19	e	e	AUX
fis-1249	114	20	read	read	VERB
fis-1249	114	21	:	:	PUNCT
fis-1249	114	22			X
fis-1249	114	23			X
fis-1249	114	24			NOUN
fis-1249	114	25			VERB
fis-1249	114	26			ADJ
fis-1249	114	27			PROPN
fis-1249	114	28			PROPN
fis-1249	114	29	e	e	X
fis-1249	114	30	(	(	PUNCT
fis-1249	114	31	19	19	NUM
fis-1249	114	32	)	)	PUNCT
fis-1249	114	33	where	where	SCONJ
fis-1249	114	34			NOUN
fis-1249	114	35	is	be	AUX
fis-1249	114	36	the	the	DET
fis-1249	114	37	electric	electric	ADJ
fis-1249	114	38	potential	potential	NOUN
fis-1249	114	39	.	.	PUNCT
fis-1249	115	1	finally	finally	ADV
fis-1249	115	2	0	0	NUM
fis-1249	115	3	1	1	NUM
fis-1249	115	4	33	33	NUM
fis-1249	115	5	33	33	NUM
fis-1249	115	6	,	,	PUNCT
fis-1249	115	7			PROPN
fis-1249	115	8			PROPN
fis-1249	115	9	are	be	AUX
fis-1249	115	10	the	the	DET
fis-1249	115	11	constant	constant	ADJ
fis-1249	115	12	and	and	CCONJ
fis-1249	115	13	linear	linear	ADJ
fis-1249	115	14	components	component	NOUN
fis-1249	115	15	of	of	ADP
fis-1249	115	16	the	the	DET
fis-1249	115	17	thickness	thickness	NOUN
fis-1249	115	18	strain	strain	NOUN
fis-1249	115	19	and	and	CCONJ
fis-1249	115	20	0	0	NUM
fis-1249	115	21	1	1	NUM
fis-1249	115	22	3	3	NUM
fis-1249	115	23	3	3	NUM
fis-1249	115	24	,	,	PUNCT
fis-1249	115	25	e	e	X
fis-1249	115	26	e	e	PRON
fis-1249	115	27	represent	represent	VERB
fis-1249	115	28	the	the	DET
fis-1249	115	29	constant	constant	ADJ
fis-1249	115	30	and	and	CCONJ
fis-1249	115	31	linear	linear	ADJ
fis-1249	115	32	parts	part	NOUN
fis-1249	115	33	of	of	ADP
fis-1249	115	34	the	the	DET
fis-1249	115	35	electric	electric	ADJ
fis-1249	115	36	field	field	NOUN
fis-1249	115	37	along	along	ADP
fis-1249	115	38	the	the	DET
fis-1249	115	39	thickness	thickness	NOUN
fis-1249	115	40	direction	direction	NOUN
fis-1249	115	41	.	.	PUNCT
fis-1249	116	1	we	we	PRON
fis-1249	116	2	now	now	ADV
fis-1249	116	3	introduce	introduce	VERB
fis-1249	116	4	the	the	DET
fis-1249	116	5	transformation	transformation	NOUN
fis-1249	116	6	matrix	matrix	NOUN
fis-1249	116	7	a	a	PRON
fis-1249	116	8	between	between	ADP
fis-1249	116	9	the	the	DET
fis-1249	116	10	generalized	generalize	VERB
fis-1249	116	11	green	green	ADJ
fis-1249	116	12	lagrange	lagrange	PROPN
fis-1249	116	13	strain	strain	NOUN
fis-1249	116	14	vector	vector	NOUN
fis-1249	116	15	of	of	ADP
fis-1249	116	16	the	the	DET
fis-1249	116	17	solid	solid	ADJ
fis-1249	116	18	ge	ge	NOUN
fis-1249	116	19	and	and	CCONJ
fis-1249	116	20	the	the	DET
fis-1249	116	21	generalized	generalized	ADJ
fis-1249	116	22	strain	strain	NOUN
fis-1249	116	23	column	column	NOUN
fis-1249	116	24	vector	vector	NOUN
fis-1249	116	25	of	of	ADP
fis-1249	116	26	the	the	DET
fis-1249	116	27	shell	shell	NOUN
fis-1249	116	28	se	se	INTJ
fis-1249	116	29	such	such	ADJ
fis-1249	116	30	as	as	ADP
fis-1249	116	31	g	g	NOUN
fis-1249	116	32	s	s	PROPN
fis-1249	116	33	e	e	VERB
fis-1249	116	34	ae	ae	PROPN
fis-1249	116	35	with	with	ADP
fis-1249	116	36	:	:	PUNCT
fis-1249	116	37	3	3	NUM
fis-1249	116	38	3	3	NUM
fis-1249	116	39	3	3	NUM
fis-1249	116	40	3	3	NUM
fis-1249	116	41	3	3	NUM
fis-1249	116	42	1	1	NUM
fis-1249	116	43	0	0	NUM
fis-1249	116	44	0	0	NUM
fis-1249	116	45	0	0	NUM
fis-1249	116	46	0	0	NUM
fis-1249	116	47	0	0	NUM
fis-1249	116	48	0	0	NUM
fis-1249	116	49	0	0	NUM
fis-1249	116	50	0	0	NUM
fis-1249	116	51	0	0	NUM
fis-1249	116	52	0	0	NUM
fis-1249	116	53	0	0	NUM
fis-1249	116	54	0	0	NUM
fis-1249	116	55	0	0	NUM
fis-1249	116	56	1	1	NUM
fis-1249	116	57	0	0	NUM
fis-1249	116	58	0	0	NUM
fis-1249	116	59	0	0	NUM
fis-1249	116	60	0	0	NUM
fis-1249	116	61	0	0	NUM
fis-1249	116	62	0	0	NUM
fis-1249	116	63	0	0	NUM
fis-1249	116	64	0	0	NUM
fis-1249	116	65	0	0	NUM
fis-1249	116	66	0	0	NUM
fis-1249	116	67	0	0	NUM
fis-1249	116	68	0	0	NUM
fis-1249	116	69	0	0	NUM
fis-1249	116	70	0	0	NUM
fis-1249	116	71	0	0	NUM
fis-1249	116	72	0	0	NUM
fis-1249	116	73	0	0	NUM
fis-1249	116	74	0	0	NUM
fis-1249	116	75	0	0	NUM
fis-1249	116	76	0	0	NUM
fis-1249	116	77	0	0	NUM
fis-1249	116	78	1	1	NUM
fis-1249	116	79	0	0	NUM
fis-1249	116	80	0	0	NUM
fis-1249	116	81	0	0	NUM
fis-1249	116	82	0	0	NUM
fis-1249	116	83	1	1	NUM
fis-1249	116	84	0	0	NUM
fis-1249	116	85	0	0	NUM
fis-1249	116	86	0	0	NUM
fis-1249	116	87	0	0	NUM
fis-1249	116	88	0	0	NUM
fis-1249	116	89	0	0	NUM
fis-1249	116	90	0	0	NUM
fis-1249	116	91	0	0	NUM
fis-1249	116	92	0	0	NUM
fis-1249	116	93	0	0	NUM
fis-1249	116	94	0	0	NUM
fis-1249	116	95	0	0	NUM
fis-1249	116	96	0	0	NUM
fis-1249	116	97	0	0	NUM
fis-1249	116	98	0	0	NUM
fis-1249	116	99	0	0	NUM
fis-1249	116	100	1	1	NUM
fis-1249	116	101	0	0	NUM
fis-1249	116	102	0	0	NUM
fis-1249	116	103	0	0	NUM
fis-1249	116	104	0	0	NUM
fis-1249	116	105	0	0	NUM
fis-1249	116	106	0	0	NUM
fis-1249	116	107	0	0	NUM
fis-1249	116	108	0	0	NUM
fis-1249	116	109	0	0	NUM
fis-1249	116	110	0	0	NUM
fis-1249	116	111	0	0	NUM
fis-1249	116	112	0	0	NUM
fis-1249	116	113	0	0	NUM
fis-1249	116	114	0	0	NUM
fis-1249	116	115	1	1	NUM
fis-1249	116	116	0	0	NUM
fis-1249	116	117	0	0	NUM
fis-1249	116	118	0	0	NUM
fis-1249	116	119	0	0	NUM
fis-1249	116	120	0	0	NUM
fis-1249	116	121	0	0	NUM
fis-1249	116	122	0	0	NUM
fis-1249	116	123	0	0	NUM
fis-1249	116	124	0	0	NUM
fis-1249	116	125	0	0	NUM
fis-1249	116	126	0	0	NUM
fis-1249	116	127	0	0	NUM
fis-1249	116	128	0	0	NUM
fis-1249	116	129	0	0	NUM
fis-1249	116	130	1	1	NUM
fis-1249	116	131	0	0	NUM
fis-1249	116	132	0	0	NUM
fis-1249	116	133	0	0	NUM
fis-1249	116	134	0	0	NUM
fis-1249	116	135	0	0	NUM
fis-1249	116	136	0	0	NUM
fis-1249	116	137	0	0	NUM
fis-1249	116	138	0	0	NUM
fis-1249	116	139	0	0	NUM
fis-1249	116	140	0	0	NUM
fis-1249	116	141	0	0	NUM
fis-1249	116	142	0	0	NUM
fis-1249	116	143	0	0	NUM
fis-1249	116	144	0	0	NUM
fis-1249	116	145	1	1	NUM
fis-1249	116	146	0	0	NUM
fis-1249	116	147	0	0	NUM
fis-1249	116	148	0	0	NUM
fis-1249	116	149	0	0	NUM
fis-1249	116	150	0	0	NUM
fis-1249	116	151	0	0	NUM
fis-1249	116	152	0	0	NUM
fis-1249	116	153	0	0	NUM
fis-1249	116	154	0	0	NUM
fis-1249	116	155	0	0	NUM
fis-1249	116	156	0	0	NUM
fis-1249	116	157	0	0	NUM
fis-1249	116	158	0	0	NUM
fis-1249	116	159	0	0	NUM
fis-1249	116	160	0	0	NUM
fis-1249	116	161	0	0	NUM
fis-1249	116	162	1	1	NUM
fis-1249	116	163			NOUN
fis-1249	116	164			NOUN
fis-1249	116	165			NOUN
fis-1249	116	166			NOUN
fis-1249	116	167			VERB
fis-1249	117	1			NOUN
fis-1249	117	2			PROPN
fis-1249	117	3			PROPN
fis-1249	118	1			PROPN
fis-1249	119	1			PROPN
fis-1249	120	1			INTJ
fis-1249	121	1			PROPN
fis-1249	122	1			INTJ
fis-1249	123	1			PROPN
fis-1249	124	1			INTJ
fis-1249	125	1			PROPN
fis-1249	126	1			PROPN
fis-1249	127	1			PROPN
fis-1249	127	2			NOUN
fis-1249	128	1			PROPN
fis-1249	128	2			PROPN
fis-1249	129	1			PROPN
fis-1249	130	1			INTJ
fis-1249	131	1			PROPN
fis-1249	132	1			INTJ
fis-1249	133	1			PROPN
fis-1249	134	1			INTJ
fis-1249	135	1			PROPN
fis-1249	136	1			INTJ
fis-1249	137	1			PROPN
fis-1249	137	2			PROPN
fis-1249	138	1			PROPN
fis-1249	138	2			NOUN
fis-1249	138	3	a	a	DET
fis-1249	138	4	(	(	PUNCT
fis-1249	138	5	20	20	NUM
fis-1249	138	6	)	)	PUNCT
fis-1249	138	7	with	with	ADP
fis-1249	138	8	some	some	DET
fis-1249	138	9	algebra	algebra	NOUN
fis-1249	138	10	and	and	CCONJ
fis-1249	138	11	after	after	ADP
fis-1249	138	12	integration	integration	NOUN
fis-1249	138	13	on	on	ADP
fis-1249	138	14	the	the	DET
fis-1249	138	15	shell	shell	NOUN
fis-1249	138	16	thickness	thickness	NOUN
fis-1249	138	17	the	the	DET
fis-1249	138	18	final	final	ADJ
fis-1249	138	19	constitutive	constitutive	ADJ
fis-1249	138	20	equation	equation	NOUN
fis-1249	138	21	of	of	ADP
fis-1249	138	22	the	the	DET
fis-1249	138	23	homogenized	homogenized	ADJ
fis-1249	138	24	shell	shell	NOUN
fis-1249	138	25	can	can	AUX
fis-1249	138	26	be	be	AUX
fis-1249	138	27	recast	recast	VERB
fis-1249	138	28	in	in	ADP
fis-1249	138	29	the	the	DET
fis-1249	138	30	following	follow	VERB
fis-1249	138	31	form	form	NOUN
fis-1249	138	32	:	:	PUNCT
fis-1249	138	33			NUM
fis-1249	138	34	macro	macro	ADJ
fis-1249	138	35	shell	shell	NOUN
fis-1249	138	36	sl	sl	INTJ
fis-1249	138	37	d	d	NOUN
fis-1249	138	38	e	e	X
fis-1249	138	39	(	(	PUNCT
fis-1249	138	40	21	21	NUM
fis-1249	138	41	)	)	PUNCT
fis-1249	138	42	with	with	ADP
fis-1249	138	43	c.	c.	PROPN
fis-1249	138	44	maruccio	maruccio	PROPN
fis-1249	138	45	et	et	PROPN
fis-1249	138	46	alii	alii	PROPN
fis-1249	138	47	,	,	PUNCT
fis-1249	138	48	frattura	frattura	PROPN
fis-1249	138	49	ed	ed	PROPN
fis-1249	138	50	integrità	integrità	PROPN
fis-1249	138	51	strutturale	strutturale	PROPN
fis-1249	138	52	,	,	PUNCT
fis-1249	138	53	29	29	NUM
fis-1249	138	54	(	(	PUNCT
fis-1249	138	55	2014	2014	NUM
fis-1249	138	56	)	)	PUNCT
fis-1249	138	57	49	49	NUM
fis-1249	138	58	-	-	SYM
fis-1249	138	59	60	60	NUM
fis-1249	138	60	;	;	PUNCT
fis-1249	138	61	doi	doi	NOUN
fis-1249	138	62	:	:	PUNCT
fis-1249	138	63	10.3221	10.3221	NUM
fis-1249	138	64	/	/	SYM
fis-1249	138	65	igf	igf	PROPN
fis-1249	138	66	-	-	PUNCT
fis-1249	138	67	esis.29.06	esis.29.06	PROPN
fis-1249	138	68	55	55	NUM
fis-1249	138	69	1	1	NUM
fis-1249	138	70	2	2	NUM
fis-1249	138	71	3	3	NUM
fis-1249	138	72	1	1	NUM
fis-1249	138	73	2	2	NUM
fis-1249	138	74			NOUN
fis-1249	138	75			X
fis-1249	138	76			PROPN
fis-1249	138	77	macro	macro	NOUN
fis-1249	138	78	t	t	PROPN
fis-1249	138	79	macro	macro	ADJ
fis-1249	138	80	shell	shell	PROPN
fis-1249	138	81	solidh	solidh	PROPN
fis-1249	138	82	dd	dd	PROPN
fis-1249	139	1	a	a	PRON
fis-1249	139	2	d	d	X
fis-1249	139	3	a	a	PRON
fis-1249	139	4	(	(	PUNCT
fis-1249	139	5	22	22	NUM
fis-1249	139	6	)	)	PUNCT
fis-1249	139	7	and	and	CCONJ
fis-1249	139	8	0	0	NUM
fis-1249	139	9	1	1	NUM
fis-1249	139	10	0	0	NUM
fis-1249	139	11	1	1	NUM
fis-1249	139	12	11	11	NUM
fis-1249	139	13	22	22	NUM
fis-1249	139	14	12	12	NUM
fis-1249	139	15	11	11	NUM
fis-1249	139	16	22	22	NUM
fis-1249	139	17	12	12	NUM
fis-1249	139	18	1	1	NUM
fis-1249	139	19	2	2	NUM
fis-1249	139	20	1	1	NUM
fis-1249	139	21	2	2	NUM
fis-1249	139	22	33	33	NUM
fis-1249	139	23	33	33	NUM
fis-1249	139	24	3	3	NUM
fis-1249	139	25	3	3	NUM
fis-1249	139	26	,	,	PUNCT
fis-1249	139	27	,	,	PUNCT
fis-1249	139	28	,	,	PUNCT
fis-1249	139	29	,	,	PUNCT
fis-1249	139	30	,	,	PUNCT
fis-1249	139	31	,	,	PUNCT
fis-1249	139	32	,	,	PUNCT
fis-1249	139	33	,	,	PUNCT
fis-1249	139	34	,	,	PUNCT
fis-1249	139	35	,	,	PUNCT
fis-1249	139	36	,	,	PUNCT
fis-1249	139	37	,	,	PUNCT
fis-1249	139	38	,	,	PUNCT
fis-1249	139	39			PROPN
fis-1249	139	40			PROPN
fis-1249	139	41			PROPN
fis-1249	139	42			PROPN
fis-1249	139	43			PROPN
fis-1249	139	44			NOUN
fis-1249	139	45			PROPN
fis-1249	139	46	t	t	PROPN
fis-1249	139	47	n	n	CCONJ
fis-1249	139	48	n	n	CCONJ
fis-1249	139	49	n	n	ADV
fis-1249	139	50	m	m	VERB
fis-1249	139	51	m	m	VERB
fis-1249	139	52	m	m	VERB
fis-1249	139	53	q	q	ADJ
fis-1249	139	54	q	q	PROPN
fis-1249	139	55	d	d	X
fis-1249	139	56	d	d	PROPN
fis-1249	139	57	n	n	PROPN
fis-1249	139	58	n	n	PROPN
fis-1249	139	59	d	d	X
fis-1249	139	60	dl	dl	X
fis-1249	139	61	(	(	PUNCT
fis-1249	139	62	23	23	NUM
fis-1249	139	63	)	)	PUNCT
fis-1249	139	64	where	where	SCONJ
fis-1249	139	65	n	n	NOUN
fis-1249	139	66	are	be	AUX
fis-1249	139	67	the	the	DET
fis-1249	139	68	membrane	membrane	NOUN
fis-1249	139	69	forces	force	NOUN
fis-1249	139	70	,	,	PUNCT
fis-1249	139	71	m	m	NOUN
fis-1249	139	72	are	be	AUX
fis-1249	139	73	the	the	DET
fis-1249	139	74	bending	bend	VERB
fis-1249	139	75	moments	moment	NOUN
fis-1249	139	76	,	,	PUNCT
fis-1249	139	77	q	q	PROPN
fis-1249	139	78	are	be	AUX
fis-1249	139	79	the	the	DET
fis-1249	139	80	shear	shear	NOUN
fis-1249	139	81	forces	force	NOUN
fis-1249	139	82	,	,	PUNCT
fis-1249	139	83	i	i	PRON
fis-1249	139	84	d	d	PROPN
fis-1249	139	85	are	be	AUX
fis-1249	139	86	the	the	DET
fis-1249	139	87	electric	electric	ADJ
fis-1249	139	88	displacement	displacement	NOUN
fis-1249	139	89	and	and	CCONJ
fis-1249	139	90	0	0	NUM
fis-1249	139	91	1	1	NUM
fis-1249	139	92	33	33	NUM
fis-1249	139	93	33,n	33,n	NUM
fis-1249	139	94	n	n	CCONJ
fis-1249	139	95	,	,	PUNCT
fis-1249	139	96	0	0	NUM
fis-1249	139	97	1	1	NUM
fis-1249	139	98	3	3	NUM
fis-1249	139	99	3,	3,	NOUN
fis-1249	139	100	d	d	NOUN
fis-1249	140	1	d	d	NOUN
fis-1249	140	2	are	be	AUX
fis-1249	140	3	the	the	DET
fis-1249	140	4	constant	constant	ADJ
fis-1249	140	5	and	and	CCONJ
fis-1249	140	6	linear	linear	ADJ
fis-1249	140	7	components	component	NOUN
fis-1249	140	8	of	of	ADP
fis-1249	140	9	membrane	membrane	NOUN
fis-1249	140	10	force	force	NOUN
fis-1249	140	11	and	and	CCONJ
fis-1249	140	12	electric	electric	ADJ
fis-1249	140	13	displacement	displacement	NOUN
fis-1249	140	14	in	in	ADP
fis-1249	140	15	the	the	DET
fis-1249	140	16	thickness	thickness	NOUN
fis-1249	140	17	direction	direction	NOUN
fis-1249	140	18	.	.	PUNCT
fis-1249	141	1	moreover	moreover	ADV
fis-1249	141	2	3	3	PROPN
fis-1249	141	3	is	be	AUX
fis-1249	141	4	the	the	DET
fis-1249	141	5	natural	natural	ADJ
fis-1249	141	6	coordinates	coordinate	NOUN
fis-1249	141	7	of	of	ADP
fis-1249	141	8	the	the	DET
fis-1249	141	9	shell	shell	NOUN
fis-1249	141	10	thickness	thickness	NOUN
fis-1249	141	11	.	.	PUNCT
fis-1249	142	1	the	the	DET
fis-1249	142	2	above	above	ADJ
fis-1249	142	3	formulation	formulation	NOUN
fis-1249	142	4	is	be	AUX
fis-1249	142	5	valid	valid	ADJ
fis-1249	142	6	for	for	ADP
fis-1249	142	7	the	the	DET
fis-1249	142	8	general	general	ADJ
fis-1249	142	9	case	case	NOUN
fis-1249	142	10	of	of	ADP
fis-1249	142	11	finite	finite	PROPN
fis-1249	142	12	strain	strain	NOUN
fis-1249	142	13	shell	shell	NOUN
fis-1249	142	14	problems	problem	NOUN
fis-1249	142	15	.	.	PUNCT
fis-1249	143	1	however	however	ADV
fis-1249	143	2	,	,	PUNCT
fis-1249	143	3	as	as	ADP
fis-1249	143	4	a	a	DET
fis-1249	143	5	first	first	ADJ
fis-1249	143	6	step	step	NOUN
fis-1249	143	7	we	we	PRON
fis-1249	143	8	implemented	implement	VERB
fis-1249	143	9	here	here	ADV
fis-1249	143	10	only	only	ADV
fis-1249	143	11	its	its	PRON
fis-1249	143	12	linearized	linearize	VERB
fis-1249	143	13	version	version	NOUN
fis-1249	143	14	,	,	PUNCT
fis-1249	143	15	whereas	whereas	SCONJ
fis-1249	143	16	the	the	DET
fis-1249	143	17	finite	finite	NOUN
fis-1249	143	18	strain	strain	NOUN
fis-1249	143	19	implementation	implementation	NOUN
fis-1249	143	20	is	be	AUX
fis-1249	143	21	the	the	DET
fis-1249	143	22	subject	subject	NOUN
fis-1249	143	23	of	of	ADP
fis-1249	143	24	ongoing	ongoing	ADJ
fis-1249	143	25	research	research	NOUN
fis-1249	143	26	.	.	PUNCT
fis-1249	144	1	results	result	NOUN
fis-1249	144	2	s	s	PART
fis-1249	144	3	follows	follow	VERB
fis-1249	144	4	,	,	PUNCT
fis-1249	144	5	the	the	DET
fis-1249	144	6	presented	present	VERB
fis-1249	144	7	computational	computational	ADJ
fis-1249	144	8	procedure	procedure	NOUN
fis-1249	144	9	is	be	AUX
fis-1249	144	10	applied	apply	VERB
fis-1249	144	11	to	to	ADP
fis-1249	144	12	simple	simple	ADJ
fis-1249	144	13	test	test	NOUN
fis-1249	144	14	problems	problem	NOUN
fis-1249	144	15	.	.	PUNCT
fis-1249	145	1	for	for	ADP
fis-1249	145	2	the	the	DET
fis-1249	145	3	general	general	ADJ
fis-1249	145	4	case	case	NOUN
fis-1249	145	5	of	of	ADP
fis-1249	145	6	a	a	DET
fis-1249	145	7	solid	solid	ADJ
fis-1249	145	8	rve	rve	NOUN
fis-1249	145	9	with	with	ADP
fis-1249	145	10	random	random	ADJ
fis-1249	145	11	fibers	fiber	NOUN
fis-1249	145	12	distribution	distribution	NOUN
fis-1249	145	13	,	,	PUNCT
fis-1249	145	14	see	see	VERB
fis-1249	145	15	fig.4	fig.4	PROPN
fis-1249	145	16	,	,	PUNCT
fis-1249	145	17	the	the	DET
fis-1249	145	18	final	final	ADJ
fis-1249	145	19	material	material	NOUN
fis-1249	145	20	constitutive	constitutive	ADJ
fis-1249	145	21	equations	equation	NOUN
fis-1249	145	22	macro	macro	NOUN
fis-1249	145	23	solidd	solidd	PROPN
fis-1249	145	24	will	will	AUX
fis-1249	145	25	be	be	AUX
fis-1249	145	26	those	those	PRON
fis-1249	145	27	of	of	ADP
fis-1249	145	28	an	an	DET
fis-1249	145	29	anisotropic	anisotropic	NOUN
fis-1249	145	30	piezoelectric	piezoelectric	NOUN
fis-1249	145	31	solid	solid	ADJ
fis-1249	145	32	,	,	PUNCT
fis-1249	145	33	see	see	VERB
fis-1249	145	34	eq.24	eq.24	NOUN
fis-1249	145	35	.	.	PUNCT
fis-1249	146	1	(	(	PUNCT
fis-1249	146	2	24	24	NUM
fis-1249	146	3	)	)	PUNCT
fis-1249	146	4	for	for	ADP
fis-1249	146	5	the	the	DET
fis-1249	146	6	evaluation	evaluation	NOUN
fis-1249	146	7	of	of	ADP
fis-1249	146	8	the	the	DET
fis-1249	146	9	effective	effective	ADJ
fis-1249	146	10	properties	property	NOUN
fis-1249	146	11	,	,	PUNCT
fis-1249	146	12	suitable	suitable	ADJ
fis-1249	146	13	boundary	boundary	ADJ
fis-1249	146	14	conditions	condition	NOUN
fis-1249	146	15	have	have	VERB
fis-1249	146	16	to	to	PART
fis-1249	146	17	be	be	AUX
fis-1249	146	18	applied	apply	VERB
fis-1249	146	19	to	to	ADP
fis-1249	146	20	the	the	DET
fis-1249	146	21	unit	unit	NOUN
fis-1249	146	22	cell	cell	NOUN
fis-1249	146	23	in	in	ADP
fis-1249	146	24	such	such	DET
fis-1249	146	25	a	a	DET
fis-1249	146	26	way	way	NOUN
fis-1249	146	27	that	that	PRON
fis-1249	146	28	,	,	PUNCT
fis-1249	146	29	apart	apart	ADV
fis-1249	146	30	from	from	ADP
fis-1249	146	31	one	one	NUM
fis-1249	146	32	component	component	NOUN
fis-1249	146	33	of	of	ADP
fis-1249	146	34	the	the	DET
fis-1249	146	35	strain	strain	NOUN
fis-1249	146	36	/	/	SYM
fis-1249	146	37	electric	electric	ADJ
fis-1249	146	38	field	field	NOUN
fis-1249	146	39	vector	vector	NOUN
fis-1249	146	40	,	,	PUNCT
fis-1249	146	41	all	all	DET
fis-1249	146	42	other	other	ADJ
fis-1249	146	43	components	component	NOUN
fis-1249	146	44	are	be	AUX
fis-1249	146	45	equal	equal	ADJ
fis-1249	146	46	to	to	ADP
fis-1249	146	47	zero	zero	NUM
fis-1249	146	48	[	[	X
fis-1249	146	49	14,15	14,15	NUM
fis-1249	146	50	]	]	PUNCT
fis-1249	146	51	.	.	PUNCT
fis-1249	147	1	then	then	ADV
fis-1249	147	2	each	each	DET
fis-1249	147	3	effective	effective	ADJ
fis-1249	147	4	coefficient	coefficient	NOUN
fis-1249	147	5	can	can	AUX
fis-1249	147	6	be	be	AUX
fis-1249	147	7	easily	easily	ADV
fis-1249	147	8	determined	determine	VERB
fis-1249	147	9	by	by	ADP
fis-1249	147	10	multiplying	multiply	VERB
fis-1249	147	11	the	the	DET
fis-1249	147	12	corresponding	correspond	VERB
fis-1249	147	13	row	row	NOUN
fis-1249	147	14	of	of	ADP
fis-1249	147	15	the	the	DET
fis-1249	147	16	material	material	NOUN
fis-1249	147	17	matrix	matrix	NOUN
fis-1249	147	18	by	by	ADP
fis-1249	147	19	the	the	DET
fis-1249	147	20	strain	strain	NOUN
fis-1249	147	21	/	/	SYM
fis-1249	147	22	electric	electric	ADJ
fis-1249	147	23	field	field	NOUN
fis-1249	147	24	vector	vector	NOUN
fis-1249	147	25	.	.	PUNCT
fis-1249	148	1	once	once	ADV
fis-1249	148	2	macro	macro	ADJ
fis-1249	148	3	solidd	solidd	PROPN
fis-1249	148	4	is	be	AUX
fis-1249	148	5	obtained	obtain	VERB
fis-1249	148	6	,	,	PUNCT
fis-1249	148	7	coefficients	coefficient	NOUN
fis-1249	148	8	of	of	ADP
fis-1249	148	9	macro	macro	ADJ
fis-1249	148	10	shelld	shelld	NOUN
fis-1249	148	11	can	can	AUX
fis-1249	148	12	be	be	AUX
fis-1249	148	13	easily	easily	ADV
fis-1249	148	14	derived	derive	VERB
fis-1249	148	15	using	use	VERB
fis-1249	148	16	eq	eq	ADP
fis-1249	148	17	.	.	PROPN
fis-1249	148	18	22	22	NUM
fis-1249	148	19	.	.	PUNCT
fis-1249	149	1	in	in	ADP
fis-1249	149	2	fig.4	fig.4	PRON
fis-1249	149	3	the	the	DET
fis-1249	149	4	mesh	mesh	NOUN
fis-1249	149	5	used	use	VERB
fis-1249	149	6	during	during	ADP
fis-1249	149	7	the	the	DET
fis-1249	149	8	analyses	analysis	NOUN
fis-1249	149	9	are	be	AUX
fis-1249	149	10	illustrated	illustrate	VERB
fis-1249	149	11	.	.	PUNCT
fis-1249	150	1	(	(	PUNCT
fis-1249	150	2	a	a	X
fis-1249	150	3	)	)	PUNCT
fis-1249	150	4	(	(	PUNCT
fis-1249	150	5	b	b	X
fis-1249	150	6	)	)	PUNCT
fis-1249	150	7	(	(	PUNCT
fis-1249	150	8	c	c	X
fis-1249	150	9	)	)	PUNCT
fis-1249	150	10	(	(	PUNCT
fis-1249	150	11	d	d	X
fis-1249	150	12	)	)	PUNCT
fis-1249	150	13	figure	figure	NOUN
fis-1249	150	14	4	4	NUM
fis-1249	150	15	:	:	PUNCT
fis-1249	150	16	rve	rve	PROPN
fis-1249	150	17	mesh	mesh	PROPN
fis-1249	150	18	and	and	CCONJ
fis-1249	150	19	boundary	boundary	ADJ
fis-1249	150	20	conditions	condition	NOUN
fis-1249	150	21	.	.	PUNCT
fis-1249	151	1	each	each	DET
fis-1249	151	2	fiber	fiber	NOUN
fis-1249	151	3	is	be	AUX
fis-1249	151	4	considered	consider	VERB
fis-1249	151	5	as	as	ADP
fis-1249	151	6	a	a	DET
fis-1249	151	7	linear	linear	ADJ
fis-1249	151	8	piezoelastic	piezoelastic	NOUN
fis-1249	151	9	solid	solid	ADJ
fis-1249	151	10	and	and	CCONJ
fis-1249	151	11	is	be	AUX
fis-1249	151	12	discretized	discretize	VERB
fis-1249	151	13	with	with	ADP
fis-1249	151	14	linear	linear	ADJ
fis-1249	151	15	8	8	NUM
fis-1249	151	16	-	-	PUNCT
fis-1249	151	17	node	node	ADJ
fis-1249	151	18	brick	brick	NOUN
fis-1249	151	19	elements	element	NOUN
fis-1249	151	20	.	.	PUNCT
fis-1249	152	1	the	the	DET
fis-1249	152	2	fibers	fiber	NOUN
fis-1249	152	3	are	be	AUX
fis-1249	152	4	polarized	polarize	VERB
fis-1249	152	5	in	in	ADP
fis-1249	152	6	the	the	DET
fis-1249	152	7	direction	direction	NOUN
fis-1249	152	8	parallel	parallel	ADJ
fis-1249	152	9	to	to	ADP
fis-1249	152	10	the	the	DET
fis-1249	152	11	fiber	fiber	NOUN
fis-1249	152	12	longitudinal	longitudinal	ADJ
fis-1249	152	13	axis	axis	NOUN
fis-1249	152	14	,	,	PUNCT
fis-1249	152	15	i.e.	i.e.	X
fis-1249	152	16	axis	axis	NOUN
fis-1249	152	17	3	3	NUM
fis-1249	152	18	in	in	ADP
fis-1249	152	19	the	the	DET
fis-1249	152	20	next	next	ADJ
fis-1249	152	21	figures	figure	NOUN
fis-1249	152	22	.	.	PUNCT
fis-1249	153	1	frictionless	frictionless	ADJ
fis-1249	153	2	electromechanical	electromechanical	ADJ
fis-1249	153	3	(	(	PUNCT
fis-1249	153	4	d	d	NOUN
fis-1249	153	5	)	)	PUNCT
fis-1249	153	6	(	(	PUNCT
fis-1249	153	7	a	a	X
fis-1249	153	8	)	)	PUNCT
fis-1249	153	9	a	a	DET
fis-1249	153	10	b	b	PROPN
fis-1249	153	11	(	(	PUNCT
fis-1249	153	12	c	c	NOUN
fis-1249	153	13	)	)	PUNCT
fis-1249	153	14	(	(	PUNCT
fis-1249	153	15	b	b	X
fis-1249	153	16	)	)	PUNCT
fis-1249	153	17	a	a	DET
fis-1249	153	18	c.	c.	PROPN
fis-1249	153	19	maruccio	maruccio	PROPN
fis-1249	153	20	et	et	PROPN
fis-1249	153	21	alii	alii	PROPN
fis-1249	153	22	,	,	PUNCT
fis-1249	153	23	frattura	frattura	PROPN
fis-1249	153	24	ed	ed	PROPN
fis-1249	153	25	integrità	integrità	PROPN
fis-1249	153	26	strutturale	strutturale	PROPN
fis-1249	153	27	,	,	PUNCT
fis-1249	153	28	29	29	NUM
fis-1249	153	29	(	(	PUNCT
fis-1249	153	30	2014	2014	NUM
fis-1249	153	31	)	)	PUNCT
fis-1249	153	32	49	49	NUM
fis-1249	153	33	-	-	SYM
fis-1249	153	34	60	60	NUM
fis-1249	153	35	;	;	PUNCT
fis-1249	153	36	doi	doi	NOUN
fis-1249	153	37	:	:	PUNCT
fis-1249	153	38	10.3221	10.3221	NUM
fis-1249	153	39	/	/	SYM
fis-1249	153	40	igf	igf	PROPN
fis-1249	153	41	-	-	PUNCT
fis-1249	153	42	esis.29.06	esis.29.06	NOUN
fis-1249	153	43	56	56	NUM
fis-1249	153	44	contact	contact	NOUN
fis-1249	153	45	constraints	constraint	NOUN
fis-1249	153	46	are	be	AUX
fis-1249	153	47	enforced	enforce	VERB
fis-1249	153	48	at	at	ADP
fis-1249	153	49	the	the	DET
fis-1249	153	50	interface	interface	NOUN
fis-1249	153	51	between	between	ADP
fis-1249	153	52	the	the	DET
fis-1249	153	53	fibers	fiber	NOUN
fis-1249	153	54	using	use	VERB
fis-1249	153	55	the	the	DET
fis-1249	153	56	electromechanical	electromechanical	ADJ
fis-1249	153	57	contact	contact	NOUN
fis-1249	153	58	formulation	formulation	NOUN
fis-1249	153	59	discussed	discuss	VERB
fis-1249	153	60	in	in	ADP
fis-1249	153	61	section	section	NOUN
fis-1249	153	62	2	2	NUM
fis-1249	153	63	.	.	PUNCT
fis-1249	153	64	figures	figure	NOUN
fis-1249	153	65	from	from	ADP
fis-1249	153	66	5	5	NUM
fis-1249	153	67	to	to	PART
fis-1249	153	68	9	9	NUM
fis-1249	153	69	provide	provide	VERB
fis-1249	153	70	the	the	DET
fis-1249	153	71	contours	contours	NOUN
fis-1249	153	72	of	of	ADP
fis-1249	153	73	displacements	displacement	NOUN
fis-1249	153	74	,	,	PUNCT
fis-1249	153	75	stresses	stress	VERB
fis-1249	153	76	electric	electric	ADJ
fis-1249	153	77	field	field	NOUN
fis-1249	153	78	and	and	CCONJ
fis-1249	153	79	potential	potential	NOUN
fis-1249	153	80	for	for	ADP
fis-1249	153	81	special	special	ADJ
fis-1249	153	82	cases	case	NOUN
fis-1249	153	83	of	of	ADP
fis-1249	153	84	boundary	boundary	ADJ
fis-1249	153	85	conditions	condition	NOUN
fis-1249	153	86	applied	apply	VERB
fis-1249	153	87	to	to	ADP
fis-1249	153	88	the	the	DET
fis-1249	153	89	rve	rve	PROPN
fis-1249	153	90	as	as	ADP
fis-1249	153	91	a	a	DET
fis-1249	153	92	function	function	NOUN
fis-1249	153	93	of	of	ADP
fis-1249	153	94	the	the	DET
fis-1249	153	95	fiber	fiber	NOUN
fis-1249	153	96	arrangement	arrangement	NOUN
fis-1249	153	97	in	in	ADP
fis-1249	153	98	the	the	DET
fis-1249	153	99	material	material	NOUN
fis-1249	153	100	at	at	ADP
fis-1249	153	101	the	the	DET
fis-1249	153	102	microscale	microscale	NOUN
fis-1249	153	103	.	.	PUNCT
fis-1249	154	1	moreover	moreover	ADV
fis-1249	154	2	fig	fig	NOUN
fis-1249	154	3	.	.	PUNCT
fis-1249	155	1	10	10	NUM
fis-1249	155	2	provides	provide	VERB
fis-1249	155	3	as	as	ADP
fis-1249	155	4	an	an	DET
fis-1249	155	5	example	example	NOUN
fis-1249	155	6	a	a	DET
fis-1249	155	7	comparison	comparison	NOUN
fis-1249	155	8	between	between	ADP
fis-1249	155	9	some	some	PRON
fis-1249	155	10	of	of	ADP
fis-1249	155	11	the	the	DET
fis-1249	155	12	resulting	result	VERB
fis-1249	155	13	homogenized	homogenized	ADJ
fis-1249	155	14	coefficients	coefficient	NOUN
fis-1249	155	15	as	as	ADP
fis-1249	155	16	a	a	DET
fis-1249	155	17	function	function	NOUN
fis-1249	155	18	of	of	ADP
fis-1249	155	19	the	the	DET
fis-1249	155	20	rve	rve	PROPN
fis-1249	155	21	geometry	geometry	NOUN
fis-1249	155	22	,	,	PUNCT
fis-1249	155	23	namely	namely	ADV
fis-1249	155	24	11c	11c	NOUN
fis-1249	155	25	,	,	PUNCT
fis-1249	155	26	12c	12c	NOUN
fis-1249	155	27	,	,	PUNCT
fis-1249	155	28	13c	13c	NOUN
fis-1249	155	29	,	,	PUNCT
fis-1249	155	30	31e	31e	NOUN
fis-1249	155	31	.	.	PUNCT
fis-1249	156	1	in	in	ADP
fis-1249	156	2	particular	particular	ADJ
fis-1249	156	3	for	for	ADP
fis-1249	156	4	each	each	DET
fis-1249	156	5	fiber	fiber	NOUN
fis-1249	156	6	we	we	PRON
fis-1249	156	7	assumed	assume	VERB
fis-1249	156	8	for	for	ADP
fis-1249	156	9	the	the	DET
fis-1249	156	10	elastic	elastic	ADJ
fis-1249	156	11	modulus	modulus	NOUN
fis-1249	156	12	e=2.5	e=2.5	NOUN
fis-1249	156	13	gpa	gpa	PROPN
fis-1249	156	14	and	and	CCONJ
fis-1249	156	15	the	the	DET
fis-1249	156	16	poisson	poisson	NOUN
fis-1249	156	17	ratio	ratio	NOUN
fis-1249	156	18	0.3	0.3	PROPN
fis-1249	157	1			INTJ
fis-1249	157	2	,	,	PUNCT
fis-1249	158	1	while	while	SCONJ
fis-1249	158	2	the	the	DET
fis-1249	158	3	piezoelectric	piezoelectric	NOUN
fis-1249	158	4	strain	strain	NOUN
fis-1249	158	5	coefficients	coefficient	NOUN
fis-1249	158	6	d31	d31	NOUN
fis-1249	158	7	,	,	PUNCT
fis-1249	158	8	d32	d32	NOUN
fis-1249	158	9	,	,	PUNCT
fis-1249	158	10	d33	d33	NOUN
fis-1249	158	11	are	be	AUX
fis-1249	158	12	20x10	20x10	NUM
fis-1249	158	13	-	-	SYM
fis-1249	158	14	12	12	NUM
fis-1249	158	15	,	,	PUNCT
fis-1249	158	16	3x10	3x10	NUM
fis-1249	158	17	-	-	SYM
fis-1249	158	18	12	12	NUM
fis-1249	158	19	,	,	PUNCT
fis-1249	158	20	33	33	NUM
fis-1249	158	21	x10	x10	NUM
fis-1249	158	22	-	-	SYM
fis-1249	158	23	12	12	NUM
fis-1249	158	24	m	m	PROPN
fis-1249	158	25	/	/	SYM
fis-1249	158	26	v	v	NOUN
fis-1249	158	27	(	(	PUNCT
fis-1249	158	28	leading	lead	VERB
fis-1249	158	29	to	to	ADP
fis-1249	158	30	piezoelectric	piezoelectric	ADJ
fis-1249	158	31	stress	stress	NOUN
fis-1249	158	32	coefficients	coefficient	NOUN
fis-1249	158	33	e31	e31	PROPN
fis-1249	158	34	,	,	PUNCT
fis-1249	158	35	e32	e32	PROPN
fis-1249	158	36	,	,	PUNCT
fis-1249	158	37	e33	e33	PROPN
fis-1249	158	38	equal	equal	ADJ
fis-1249	158	39	to	to	ADP
fis-1249	158	40	0.03077	0.03077	NUM
fis-1249	158	41	,	,	PUNCT
fis-1249	158	42	-0.0057	-0.0057	ADJ
fis-1249	158	43	,	,	PUNCT
fis-1249	158	44	-0.075	-0.075	ADJ
fis-1249	158	45	c	c	X
fis-1249	158	46	/	/	SYM
fis-1249	158	47	m2	m2	PROPN
fis-1249	158	48	)	)	PUNCT
fis-1249	158	49	and	and	CCONJ
fis-1249	158	50	the	the	DET
fis-1249	158	51	permittivity	permittivity	NOUN
fis-1249	158	52	coefficients	coefficient	VERB
fis-1249	158	53	11	11	NUM
fis-1249	158	54	,	,	PUNCT
fis-1249	158	55	22	22	NUM
fis-1249	158	56	,	,	PUNCT
fis-1249	158	57	33	33	NUM
fis-1249	158	58	are	be	AUX
fis-1249	158	59	equal	equal	ADJ
fis-1249	158	60	to	to	ADP
fis-1249	158	61	12	12	NUM
fis-1249	158	62	0	0	NUM
fis-1249	158	63	,	,	PUNCT
fis-1249	158	64	0	0	NUM
fis-1249	158	65	being	be	AUX
fis-1249	158	66	the	the	DET
fis-1249	158	67	vacuum	vacuum	NOUN
fis-1249	158	68	permittivity	permittivity	NOUN
fis-1249	158	69	.	.	PUNCT
fis-1249	159	1	each	each	DET
fis-1249	159	2	rve	rve	PROPN
fis-1249	159	3	is	be	AUX
fis-1249	159	4	assumed	assume	VERB
fis-1249	159	5	to	to	PART
fis-1249	159	6	have	have	VERB
fis-1249	159	7	a	a	DET
fis-1249	159	8	dimension	dimension	NOUN
fis-1249	159	9	a	a	DET
fis-1249	159	10	x	x	X
fis-1249	159	11	b	b	NOUN
fis-1249	159	12	with	with	ADP
fis-1249	159	13	a	a	DET
fis-1249	159	14	=	=	NOUN
fis-1249	159	15	b=10	b=10	NOUN
fis-1249	159	16			NOUN
fis-1249	159	17	m	m	NOUN
fis-1249	159	18	and	and	CCONJ
fis-1249	159	19	height	height	NOUN
fis-1249	159	20	4	4	NUM
fis-1249	159	21			NOUN
fis-1249	159	22	m.	m.	NOUN
fis-1249	159	23	in	in	ADP
fis-1249	159	24	fig	fig	NOUN
fis-1249	159	25	.	.	PUNCT
fis-1249	160	1	10	10	NUM
fis-1249	160	2	(	(	PUNCT
fis-1249	160	3	a	a	DET
fis-1249	160	4	-	-	PUNCT
fis-1249	160	5	e	e	NOUN
fis-1249	160	6	)	)	PUNCT
fis-1249	160	7	the	the	DET
fis-1249	160	8	coefficients	coefficient	NOUN
fis-1249	160	9	as	as	SCONJ
fis-1249	160	10	obtained	obtain	VERB
fis-1249	160	11	from	from	ADP
fis-1249	160	12	the	the	DET
fis-1249	160	13	homogenization	homogenization	NOUN
fis-1249	160	14	procedure	procedure	NOUN
fis-1249	160	15	(	(	PUNCT
fis-1249	160	16	black	black	ADJ
fis-1249	160	17	dot	dot	NOUN
fis-1249	160	18	)	)	PUNCT
fis-1249	160	19	are	be	AUX
fis-1249	160	20	compared	compare	VERB
fis-1249	160	21	with	with	ADP
fis-1249	160	22	the	the	DET
fis-1249	160	23	corresponding	corresponding	ADJ
fis-1249	160	24	coefficients	coefficient	NOUN
fis-1249	160	25	derived	derive	VERB
fis-1249	160	26	considering	consider	VERB
fis-1249	160	27	a	a	DET
fis-1249	160	28	bulk	bulk	ADJ
fis-1249	160	29	rve	rve	NOUN
fis-1249	160	30	with	with	ADP
fis-1249	160	31	the	the	DET
fis-1249	160	32	properties	property	NOUN
fis-1249	160	33	of	of	ADP
fis-1249	160	34	the	the	DET
fis-1249	160	35	fibers	fiber	NOUN
fis-1249	160	36	(	(	PUNCT
fis-1249	160	37	red	red	ADJ
fis-1249	160	38	dot	dot	NOUN
fis-1249	160	39	)	)	PUNCT
fis-1249	160	40	and	and	CCONJ
fis-1249	160	41	the	the	DET
fis-1249	160	42	coefficients	coefficient	NOUN
fis-1249	160	43	obtained	obtain	VERB
fis-1249	160	44	scaling	scale	VERB
fis-1249	160	45	the	the	DET
fis-1249	160	46	bulk	bulk	ADJ
fis-1249	160	47	values	value	NOUN
fis-1249	160	48	to	to	PART
fis-1249	160	49	take	take	VERB
fis-1249	160	50	into	into	ADP
fis-1249	160	51	account	account	NOUN
fis-1249	160	52	the	the	DET
fis-1249	160	53	volume	volume	NOUN
fis-1249	160	54	of	of	ADP
fis-1249	160	55	voids	voids	NOUN
fis-1249	160	56	in	in	ADP
fis-1249	160	57	the	the	DET
fis-1249	160	58	rve	rve	PROPN
fis-1249	160	59	.	.	PUNCT
fis-1249	161	1	both	both	DET
fis-1249	161	2	the	the	DET
fis-1249	161	3	fibers	fiber	NOUN
fis-1249	161	4	arrangement	arrangement	NOUN
fis-1249	161	5	and	and	CCONJ
fis-1249	161	6	the	the	DET
fis-1249	161	7	void	void	ADJ
fis-1249	161	8	fraction	fraction	NOUN
fis-1249	161	9	lead	lead	VERB
fis-1249	161	10	to	to	ADP
fis-1249	161	11	an	an	DET
fis-1249	161	12	homogenized	homogenized	ADJ
fis-1249	161	13	material	material	NOUN
fis-1249	161	14	behaviour	behaviour	NOUN
fis-1249	161	15	more	more	ADV
fis-1249	161	16	flexible	flexible	ADJ
fis-1249	161	17	than	than	ADP
fis-1249	161	18	the	the	DET
fis-1249	161	19	bulk	bulk	NOUN
fis-1249	161	20	.	.	PUNCT
fis-1249	162	1	this	this	PRON
fis-1249	162	2	means	mean	VERB
fis-1249	162	3	that	that	SCONJ
fis-1249	162	4	the	the	DET
fis-1249	162	5	final	final	ADJ
fis-1249	162	6	material	material	NOUN
fis-1249	162	7	will	will	AUX
fis-1249	162	8	present	present	VERB
fis-1249	162	9	improved	improved	ADJ
fis-1249	162	10	capabilities	capability	NOUN
fis-1249	162	11	when	when	SCONJ
fis-1249	162	12	used	use	VERB
fis-1249	162	13	to	to	PART
fis-1249	162	14	build	build	VERB
fis-1249	162	15	sensors	sensor	NOUN
fis-1249	162	16	and	and	CCONJ
fis-1249	162	17	nanogenerators	nanogenerator	NOUN
fis-1249	162	18	since	since	SCONJ
fis-1249	162	19	a	a	DET
fis-1249	162	20	lower	low	ADJ
fis-1249	162	21	force	force	NOUN
fis-1249	162	22	will	will	AUX
fis-1249	162	23	cause	cause	VERB
fis-1249	162	24	a	a	DET
fis-1249	162	25	higher	high	ADJ
fis-1249	162	26	deformation	deformation	NOUN
fis-1249	162	27	in	in	ADP
fis-1249	162	28	the	the	DET
fis-1249	162	29	material	material	NOUN
fis-1249	162	30	resulting	result	VERB
fis-1249	162	31	in	in	ADP
fis-1249	162	32	an	an	DET
fis-1249	162	33	increased	increase	VERB
fis-1249	162	34	output	output	NOUN
fis-1249	162	35	voltage	voltage	NOUN
fis-1249	162	36	.	.	PUNCT
fis-1249	163	1	figure	figure	NOUN
fis-1249	163	2	5	5	NUM
fis-1249	163	3	:	:	PUNCT
fis-1249	163	4	contours	contours	NOUN
fis-1249	163	5	of	of	ADP
fis-1249	163	6	displacement	displacement	NOUN
fis-1249	163	7	,	,	PUNCT
fis-1249	163	8	stress	stress	NOUN
fis-1249	163	9	,	,	PUNCT
fis-1249	163	10	electric	electric	ADJ
fis-1249	163	11	field	field	NOUN
fis-1249	163	12	and	and	CCONJ
fis-1249	163	13	potential	potential	ADJ
fis-1249	163	14	:	:	PUNCT
fis-1249	163	15	traction	traction	NOUN
fis-1249	163	16	in	in	ADP
fis-1249	163	17	direction	direction	NOUN
fis-1249	163	18	1	1	NUM
fis-1249	163	19	.	.	PUNCT
fis-1249	163	20	figure	figure	VERB
fis-1249	163	21	6	6	NUM
fis-1249	163	22	:	:	PUNCT
fis-1249	163	23	contours	contours	NOUN
fis-1249	163	24	of	of	ADP
fis-1249	163	25	displacement	displacement	NOUN
fis-1249	163	26	,	,	PUNCT
fis-1249	163	27	stress	stress	NOUN
fis-1249	163	28	,	,	PUNCT
fis-1249	163	29	electric	electric	ADJ
fis-1249	163	30	field	field	NOUN
fis-1249	163	31	and	and	CCONJ
fis-1249	163	32	potential	potential	ADJ
fis-1249	163	33	:	:	PUNCT
fis-1249	163	34	compression	compression	NOUN
fis-1249	163	35	in	in	ADP
fis-1249	163	36	direction	direction	NOUN
fis-1249	163	37	1	1	NUM
fis-1249	163	38	c.	c.	PROPN
fis-1249	163	39	maruccio	maruccio	PROPN
fis-1249	163	40	et	et	PROPN
fis-1249	163	41	alii	alii	PROPN
fis-1249	163	42	,	,	PUNCT
fis-1249	163	43	frattura	frattura	PROPN
fis-1249	163	44	ed	ed	PROPN
fis-1249	163	45	integrità	integrità	PROPN
fis-1249	163	46	strutturale	strutturale	PROPN
fis-1249	163	47	,	,	PUNCT
fis-1249	163	48	29	29	NUM
fis-1249	163	49	(	(	PUNCT
fis-1249	163	50	2014	2014	NUM
fis-1249	163	51	)	)	PUNCT
fis-1249	163	52	49	49	NUM
fis-1249	163	53	-	-	SYM
fis-1249	163	54	60	60	NUM
fis-1249	163	55	;	;	PUNCT
fis-1249	163	56	doi	doi	NOUN
fis-1249	163	57	:	:	PUNCT
fis-1249	163	58	10.3221	10.3221	NUM
fis-1249	163	59	/	/	SYM
fis-1249	163	60	igf	igf	PROPN
fis-1249	163	61	-	-	PUNCT
fis-1249	163	62	esis.29.06	esis.29.06	NOUN
fis-1249	163	63	57	57	NUM
fis-1249	163	64	figure	figure	NOUN
fis-1249	163	65	7	7	NUM
fis-1249	163	66	:	:	PUNCT
fis-1249	163	67	contours	contours	NOUN
fis-1249	163	68	of	of	ADP
fis-1249	163	69	displacement	displacement	NOUN
fis-1249	163	70	,	,	PUNCT
fis-1249	163	71	stress	stress	NOUN
fis-1249	163	72	,	,	PUNCT
fis-1249	163	73	electric	electric	ADJ
fis-1249	163	74	field	field	NOUN
fis-1249	163	75	and	and	CCONJ
fis-1249	163	76	potential	potential	ADJ
fis-1249	163	77	:	:	PUNCT
fis-1249	163	78	compression	compression	NOUN
fis-1249	163	79	in	in	ADP
fis-1249	163	80	direction	direction	NOUN
fis-1249	163	81	1	1	NUM
fis-1249	163	82	figure	figure	NOUN
fis-1249	163	83	8	8	NUM
fis-1249	163	84	:	:	PUNCT
fis-1249	163	85	contours	contours	NOUN
fis-1249	163	86	of	of	ADP
fis-1249	163	87	displacement	displacement	NOUN
fis-1249	163	88	,	,	PUNCT
fis-1249	163	89	stress	stress	NOUN
fis-1249	163	90	,	,	PUNCT
fis-1249	163	91	electric	electric	ADJ
fis-1249	163	92	field	field	NOUN
fis-1249	163	93	and	and	CCONJ
fis-1249	163	94	potential	potential	ADJ
fis-1249	163	95	:	:	PUNCT
fis-1249	163	96	compression	compression	NOUN
fis-1249	163	97	in	in	ADP
fis-1249	163	98	direction	direction	NOUN
fis-1249	163	99	2	2	NUM
fis-1249	163	100	figure	figure	NOUN
fis-1249	163	101	9	9	NUM
fis-1249	163	102	:	:	PUNCT
fis-1249	163	103	contours	contours	NOUN
fis-1249	163	104	of	of	ADP
fis-1249	163	105	displacement	displacement	NOUN
fis-1249	163	106	,	,	PUNCT
fis-1249	163	107	stress	stress	NOUN
fis-1249	163	108	,	,	PUNCT
fis-1249	163	109	electric	electric	ADJ
fis-1249	163	110	field	field	NOUN
fis-1249	163	111	and	and	CCONJ
fis-1249	163	112	potential	potential	ADJ
fis-1249	163	113	:	:	PUNCT
fis-1249	163	114	compression	compression	NOUN
fis-1249	163	115	in	in	ADP
fis-1249	163	116	direction	direction	NOUN
fis-1249	163	117	2	2	NUM
fis-1249	163	118	c.	c.	NOUN
fis-1249	163	119	maruccio	maruccio	PROPN
fis-1249	163	120	et	et	PROPN
fis-1249	163	121	alii	alii	PROPN
fis-1249	163	122	,	,	PUNCT
fis-1249	163	123	frattura	frattura	PROPN
fis-1249	163	124	ed	ed	PROPN
fis-1249	163	125	integrità	integrità	PROPN
fis-1249	163	126	strutturale	strutturale	PROPN
fis-1249	163	127	,	,	PUNCT
fis-1249	163	128	29	29	NUM
fis-1249	163	129	(	(	PUNCT
fis-1249	163	130	2014	2014	NUM
fis-1249	163	131	)	)	PUNCT
fis-1249	163	132	49	49	NUM
fis-1249	163	133	-	-	SYM
fis-1249	163	134	60	60	NUM
fis-1249	163	135	;	;	PUNCT
fis-1249	163	136	doi	doi	NOUN
fis-1249	163	137	:	:	PUNCT
fis-1249	163	138	10.3221	10.3221	NUM
fis-1249	163	139	/	/	SYM
fis-1249	163	140	igf	igf	PROPN
fis-1249	163	141	-	-	PUNCT
fis-1249	163	142	esis.29.06	esis.29.06	PROPN
fis-1249	163	143	58	58	NUM
fis-1249	163	144	a	a	DET
fis-1249	163	145	)	)	PUNCT
fis-1249	163	146	b	b	NOUN
fis-1249	163	147	)	)	PUNCT
fis-1249	163	148	c	c	NOUN
fis-1249	163	149	)	)	PUNCT
fis-1249	163	150	d	d	NOUN
fis-1249	163	151	)	)	PUNCT
fis-1249	163	152	e	e	NOUN
fis-1249	163	153	)	)	PUNCT
fis-1249	163	154	figure	figure	NOUN
fis-1249	163	155	10	10	NUM
fis-1249	163	156	:	:	PUNCT
fis-1249	163	157	homogenized	homogenize	VERB
fis-1249	163	158	rve	rve	PROPN
fis-1249	163	159	coefficients	coefficient	NOUN
fis-1249	163	160	.	.	PUNCT
fis-1249	164	1	c.	c.	PROPN
fis-1249	164	2	maruccio	maruccio	PROPN
fis-1249	164	3	et	et	PROPN
fis-1249	164	4	alii	alii	PROPN
fis-1249	164	5	,	,	PUNCT
fis-1249	164	6	frattura	frattura	PROPN
fis-1249	164	7	ed	ed	PROPN
fis-1249	164	8	integrità	integrità	PROPN
fis-1249	164	9	strutturale	strutturale	PROPN
fis-1249	164	10	,	,	PUNCT
fis-1249	164	11	29	29	NUM
fis-1249	164	12	(	(	PUNCT
fis-1249	164	13	2014	2014	NUM
fis-1249	164	14	)	)	PUNCT
fis-1249	164	15	49	49	NUM
fis-1249	164	16	-	-	SYM
fis-1249	164	17	60	60	NUM
fis-1249	164	18	;	;	PUNCT
fis-1249	164	19	doi	doi	NOUN
fis-1249	164	20	:	:	PUNCT
fis-1249	164	21	10.3221	10.3221	NUM
fis-1249	164	22	/	/	SYM
fis-1249	164	23	igf	igf	PROPN
fis-1249	164	24	-	-	PUNCT
fis-1249	164	25	esis.29.06	esis.29.06	NOUN
fis-1249	164	26	59	59	NUM
fis-1249	164	27	conclusions	conclusion	NOUN
fis-1249	164	28	his	his	PRON
fis-1249	164	29	paper	paper	NOUN
fis-1249	164	30	proposes	propose	VERB
fis-1249	164	31	a	a	DET
fis-1249	164	32	general	general	ADJ
fis-1249	164	33	formulation	formulation	NOUN
fis-1249	164	34	for	for	ADP
fis-1249	164	35	homogenization	homogenization	NOUN
fis-1249	164	36	of	of	ADP
fis-1249	164	37	the	the	DET
fis-1249	164	38	electromechanical	electromechanical	ADJ
fis-1249	164	39	behaviour	behaviour	NOUN
fis-1249	164	40	of	of	ADP
fis-1249	164	41	piezoelectric	piezoelectric	ADJ
fis-1249	164	42	textile	textile	NOUN
fis-1249	164	43	nanogenerators	nanogenerator	NOUN
fis-1249	164	44	built	build	VERB
fis-1249	164	45	assembling	assemble	VERB
fis-1249	164	46	pvdf	pvdf	PROPN
fis-1249	164	47	nanofibers	nanofiber	NOUN
fis-1249	164	48	using	use	VERB
fis-1249	164	49	an	an	DET
fis-1249	164	50	electrospinning	electrospinne	VERB
fis-1249	164	51	process	process	NOUN
fis-1249	164	52	.	.	PUNCT
fis-1249	165	1	in	in	ADP
fis-1249	165	2	particular	particular	ADJ
fis-1249	165	3	the	the	DET
fis-1249	165	4	effects	effect	NOUN
fis-1249	165	5	of	of	ADP
fis-1249	165	6	microstructure	microstructure	ADJ
fis-1249	165	7	geometry	geometry	NOUN
fis-1249	165	8	and	and	CCONJ
fis-1249	165	9	fiber	fiber	NOUN
fis-1249	165	10	distribution	distribution	NOUN
fis-1249	165	11	in	in	ADP
fis-1249	165	12	the	the	DET
fis-1249	165	13	rve	rve	PROPN
fis-1249	165	14	are	be	AUX
fis-1249	165	15	investigated	investigate	VERB
fis-1249	165	16	.	.	PUNCT
fis-1249	166	1	despite	despite	SCONJ
fis-1249	166	2	the	the	DET
fis-1249	166	3	resulting	result	VERB
fis-1249	166	4	fibrous	fibrous	ADJ
fis-1249	166	5	material	material	NOUN
fis-1249	166	6	has	have	VERB
fis-1249	166	7	a	a	DET
fis-1249	166	8	main	main	ADJ
fis-1249	166	9	polarization	polarization	NOUN
fis-1249	166	10	along	along	ADP
fis-1249	166	11	the	the	DET
fis-1249	166	12	longitudinal	longitudinal	ADJ
fis-1249	166	13	axis	axis	NOUN
fis-1249	166	14	of	of	ADP
fis-1249	166	15	the	the	DET
fis-1249	166	16	fibers	fiber	NOUN
fis-1249	166	17	,	,	PUNCT
fis-1249	166	18	the	the	DET
fis-1249	166	19	interactions	interaction	NOUN
fis-1249	166	20	among	among	ADP
fis-1249	166	21	fibers	fiber	NOUN
fis-1249	166	22	lead	lead	VERB
fis-1249	166	23	to	to	ADP
fis-1249	166	24	a	a	DET
fis-1249	166	25	complex	complex	ADJ
fis-1249	166	26	three	three	NUM
fis-1249	166	27	-	-	PUNCT
fis-1249	166	28	dimensional	dimensional	ADJ
fis-1249	166	29	distribution	distribution	NOUN
fis-1249	166	30	of	of	ADP
fis-1249	166	31	stress	stress	NOUN
fis-1249	166	32	,	,	PUNCT
fis-1249	166	33	strain	strain	NOUN
fis-1249	166	34	and	and	CCONJ
fis-1249	166	35	electric	electric	ADJ
fis-1249	166	36	potential	potential	NOUN
fis-1249	166	37	in	in	ADP
fis-1249	166	38	the	the	DET
fis-1249	166	39	rve	rve	PROPN
fis-1249	166	40	.	.	PUNCT
fis-1249	167	1	the	the	DET
fis-1249	167	2	results	result	NOUN
fis-1249	167	3	shed	shed	VERB
fis-1249	167	4	light	light	NOUN
fis-1249	167	5	on	on	ADP
fis-1249	167	6	the	the	DET
fis-1249	167	7	homogenized	homogenized	ADJ
fis-1249	167	8	response	response	NOUN
fis-1249	167	9	of	of	ADP
fis-1249	167	10	piezoelectric	piezoelectric	ADJ
fis-1249	167	11	textiles	textile	NOUN
fis-1249	167	12	where	where	SCONJ
fis-1249	167	13	the	the	DET
fis-1249	167	14	resulting	result	VERB
fis-1249	167	15	material	material	NOUN
fis-1249	167	16	can	can	AUX
fis-1249	167	17	be	be	AUX
fis-1249	167	18	described	describe	VERB
fis-1249	167	19	with	with	ADP
fis-1249	167	20	an	an	DET
fis-1249	167	21	anisotropic	anisotropic	NOUN
fis-1249	167	22	piezoelectric	piezoelectric	NOUN
fis-1249	167	23	constitutive	constitutive	ADJ
fis-1249	167	24	matrix	matrix	NOUN
fis-1249	167	25	with	with	ADP
fis-1249	167	26	further	further	ADJ
fis-1249	167	27	coupling	coupling	NOUN
fis-1249	167	28	coefficients	coefficient	NOUN
fis-1249	167	29	that	that	PRON
fis-1249	167	30	were	be	AUX
fis-1249	167	31	equal	equal	ADJ
fis-1249	167	32	to	to	ADP
fis-1249	167	33	zero	zero	NUM
fis-1249	167	34	at	at	ADP
fis-1249	167	35	the	the	DET
fis-1249	167	36	micro	micro	ADJ
fis-1249	167	37	level	level	NOUN
fis-1249	167	38	(	(	PUNCT
fis-1249	167	39	fiber	fiber	NOUN
fis-1249	167	40	scale	scale	NOUN
fis-1249	167	41	)	)	PUNCT
fis-1249	167	42	.	.	PUNCT
fis-1249	168	1	based	base	VERB
fis-1249	168	2	on	on	ADP
fis-1249	168	3	the	the	DET
fis-1249	168	4	proposed	propose	VERB
fis-1249	168	5	approach	approach	NOUN
fis-1249	168	6	,	,	PUNCT
fis-1249	168	7	it	it	PRON
fis-1249	168	8	is	be	AUX
fis-1249	168	9	possible	possible	ADJ
fis-1249	168	10	to	to	PART
fis-1249	168	11	calculate	calculate	VERB
fis-1249	168	12	anisotropic	anisotropic	NOUN
fis-1249	168	13	material	material	NOUN
fis-1249	168	14	constants	constant	NOUN
fis-1249	168	15	of	of	ADP
fis-1249	168	16	an	an	DET
fis-1249	168	17	equivalent	equivalent	ADJ
fis-1249	168	18	homogenized	homogenize	VERB
fis-1249	168	19	piezoelectric	piezoelectric	NOUN
fis-1249	168	20	solid	solid	ADJ
fis-1249	168	21	and	and	CCONJ
fis-1249	168	22	shell	shell	ADJ
fis-1249	168	23	.	.	PUNCT
fis-1249	169	1	some	some	DET
fis-1249	169	2	presented	present	VERB
fis-1249	169	3	results	result	NOUN
fis-1249	169	4	demonstrate	demonstrate	VERB
fis-1249	169	5	the	the	DET
fis-1249	169	6	capability	capability	NOUN
fis-1249	169	7	of	of	ADP
fis-1249	169	8	the	the	DET
fis-1249	169	9	developed	develop	VERB
fis-1249	169	10	procedure	procedure	NOUN
fis-1249	169	11	and	and	CCONJ
fis-1249	169	12	algorithms	algorithm	NOUN
fis-1249	169	13	.	.	PUNCT
fis-1249	170	1	further	further	ADJ
fis-1249	170	2	studies	study	NOUN
fis-1249	170	3	are	be	AUX
fis-1249	170	4	needed	need	VERB
fis-1249	170	5	for	for	ADP
fis-1249	170	6	a	a	DET
fis-1249	170	7	full	full	ADJ
fis-1249	170	8	characterization	characterization	NOUN
fis-1249	170	9	of	of	ADP
fis-1249	170	10	the	the	DET
fis-1249	170	11	macroscopic	macroscopic	ADJ
fis-1249	170	12	material	material	NOUN
fis-1249	170	13	behaviour	behaviour	NOUN
fis-1249	170	14	aiming	aim	VERB
fis-1249	170	15	both	both	PRON
fis-1249	170	16	at	at	ADP
fis-1249	170	17	introducing	introduce	VERB
fis-1249	170	18	in	in	ADP
fis-1249	170	19	the	the	DET
fis-1249	170	20	numerical	numerical	ADJ
fis-1249	170	21	model	model	PROPN
fis-1249	170	22	more	more	ADV
fis-1249	170	23	reliable	reliable	ADJ
fis-1249	170	24	electromechanical	electromechanical	ADJ
fis-1249	170	25	contact	contact	NOUN
fis-1249	170	26	laws	law	NOUN
fis-1249	170	27	based	base	VERB
fis-1249	170	28	on	on	ADP
fis-1249	170	29	experimental	experimental	ADJ
fis-1249	170	30	results	result	NOUN
fis-1249	170	31	under	under	ADP
fis-1249	170	32	development	development	NOUN
fis-1249	170	33	and	and	CCONJ
fis-1249	170	34	at	at	ADP
fis-1249	170	35	implementing	implement	VERB
fis-1249	170	36	a	a	DET
fis-1249	170	37	full	full	ADJ
fis-1249	170	38	coupling	coupling	NOUN
fis-1249	170	39	between	between	ADP
fis-1249	170	40	the	the	DET
fis-1249	170	41	micro	micro	ADJ
fis-1249	170	42	and	and	CCONJ
fis-1249	170	43	macro	macro	ADJ
fis-1249	170	44	scales	scale	NOUN
fis-1249	170	45	in	in	ADP
fis-1249	170	46	the	the	DET
fis-1249	170	47	framework	framework	NOUN
fis-1249	170	48	of	of	ADP
fis-1249	170	49	fe2	fe2	PROPN
fis-1249	170	50	methods	method	NOUN
fis-1249	170	51	.	.	PUNCT
fis-1249	171	1	acknowledgements	acknowledgement	NOUN
fis-1249	171	2	he	he	PRON
fis-1249	171	3	authors	author	NOUN
fis-1249	171	4	acknowledge	acknowledge	VERB
fis-1249	171	5	the	the	DET
fis-1249	171	6	support	support	NOUN
fis-1249	171	7	from	from	ADP
fis-1249	171	8	the	the	DET
fis-1249	171	9	italian	italian	ADJ
fis-1249	171	10	miur	miur	NOUN
fis-1249	171	11	through	through	ADP
fis-1249	171	12	the	the	DET
fis-1249	171	13	project	project	NOUN
fis-1249	171	14	firb	firb	NOUN
fis-1249	171	15	futuro	futuro	VERB
fis-1249	171	16	in	in	ADP
fis-1249	171	17	ricerca	ricerca	PROPN
fis-1249	171	18	2010	2010	NUM
fis-1249	171	19	"	"	PUNCT
fis-1249	171	20	structural	structural	ADJ
fis-1249	171	21	mechanics	mechanic	NOUN
fis-1249	171	22	models	model	NOUN
fis-1249	171	23	for	for	ADP
fis-1249	171	24	renewable	renewable	ADJ
fis-1249	171	25	energy	energy	NOUN
fis-1249	171	26	applications	application	NOUN
fis-1249	171	27	"	"	PUNCT
fis-1249	171	28	(	(	PUNCT
fis-1249	171	29	rbfr107akg	rbfr107akg	NOUN
fis-1249	171	30	)	)	PUNCT
fis-1249	171	31	and	and	CCONJ
fis-1249	171	32	from	from	ADP
fis-1249	171	33	the	the	DET
fis-1249	171	34	european	european	PROPN
fis-1249	171	35	research	research	PROPN
fis-1249	171	36	council	council	PROPN
fis-1249	171	37	under	under	ADP
fis-1249	171	38	the	the	DET
fis-1249	171	39	european	european	PROPN
fis-1249	171	40	union	union	PROPN
fis-1249	171	41	's	's	PART
fis-1249	171	42	seventh	seventh	ADJ
fis-1249	171	43	framework	framework	NOUN
fis-1249	171	44	programme	programme	NOUN
fis-1249	171	45	(	(	PUNCT
fis-1249	171	46	fp7/2007	fp7/2007	NUM
fis-1249	171	47	-	-	NUM
fis-1249	171	48	2013	2013	NUM
fis-1249	171	49	)	)	PUNCT
fis-1249	171	50	,	,	PUNCT
fis-1249	171	51	erc	erc	PROPN
fis-1249	171	52	starting	start	VERB
fis-1249	171	53	grant	grant	NOUN
fis-1249	171	54	interfaces	interface	NOUN
fis-1249	171	55	(	(	PUNCT
fis-1249	171	56	grant	grant	NOUN
fis-1249	171	57	agreement	agreement	NOUN
fis-1249	171	58	n.	n.	PROPN
fis-1249	171	59	279439	279439	NUM
fis-1249	171	60	)	)	PUNCT
fis-1249	171	61	.	.	PUNCT
fis-1249	172	1	references	reference	NOUN
fis-1249	172	2	[	[	X
fis-1249	172	3	1	1	NUM
fis-1249	172	4	]	]	PUNCT
fis-1249	172	5	dzenis	dzenis	PROPN
fis-1249	172	6	,	,	PUNCT
fis-1249	172	7	y.	y.	NOUN
fis-1249	172	8	,	,	PUNCT
fis-1249	172	9	spinning	spin	VERB
fis-1249	172	10	continuous	continuous	ADJ
fis-1249	172	11	fibers	fiber	NOUN
fis-1249	172	12	for	for	ADP
fis-1249	172	13	nanotechnology	nanotechnology	NOUN
fis-1249	172	14	,	,	PUNCT
fis-1249	172	15	science	science	NOUN
fis-1249	172	16	304	304	NUM
fis-1249	172	17	(	(	PUNCT
fis-1249	172	18	5679	5679	NUM
fis-1249	172	19	)	)	PUNCT
fis-1249	172	20	(	(	PUNCT
fis-1249	172	21	2004	2004	NUM
fis-1249	172	22	)	)	PUNCT
fis-1249	172	23	1917–1919	1917–1919	NUM
fis-1249	172	24	.	.	PUNCT
fis-1249	173	1	[	[	X
fis-1249	173	2	2	2	NUM
fis-1249	173	3	]	]	X
fis-1249	173	4	gao	gao	PROPN
fis-1249	173	5	,	,	PUNCT
fis-1249	173	6	y.	y.	PROPN
fis-1249	173	7	,	,	PUNCT
fis-1249	173	8	wang	wang	PROPN
fis-1249	173	9	,	,	PUNCT
fis-1249	173	10	z.l	z.l	PROPN
fis-1249	173	11	.	.	PROPN
fis-1249	173	12	,	,	PUNCT
fis-1249	173	13	electrostatic	electrostatic	ADJ
fis-1249	173	14	potential	potential	NOUN
fis-1249	173	15	in	in	ADP
fis-1249	173	16	a	a	DET
fis-1249	173	17	bent	bent	ADJ
fis-1249	173	18	piezoelectric	piezoelectric	NOUN
fis-1249	173	19	nanowire	nanowire	NOUN
fis-1249	173	20	,	,	PUNCT
fis-1249	173	21	the	the	DET
fis-1249	173	22	fundamental	fundamental	ADJ
fis-1249	173	23	theory	theory	NOUN
fis-1249	173	24	of	of	ADP
fis-1249	173	25	nanogenerator	nanogenerator	NOUN
fis-1249	173	26	and	and	CCONJ
fis-1249	173	27	nanopiezotronics	nanopiezotronic	NOUN
fis-1249	173	28	,	,	PUNCT
fis-1249	173	29	nano	nano	PROPN
fis-1249	173	30	lett	lett	PROPN
fis-1249	173	31	,	,	PUNCT
fis-1249	173	32	7	7	NUM
fis-1249	173	33	(	(	PUNCT
fis-1249	173	34	2007	2007	NUM
fis-1249	173	35	)	)	PUNCT
fis-1249	173	36	2499	2499	NUM
fis-1249	173	37	-	-	SYM
fis-1249	173	38	2505	2505	NUM
fis-1249	173	39	.	.	PUNCT
fis-1249	174	1	[	[	X
fis-1249	174	2	3	3	NUM
fis-1249	174	3	]	]	X
fis-1249	174	4	persano	persano	PROPN
fis-1249	174	5	,	,	PUNCT
fis-1249	174	6	l.	l.	PROPN
fis-1249	174	7	,	,	PUNCT
fis-1249	174	8	dagdeviren	dagdeviren	PROPN
fis-1249	174	9	,	,	PUNCT
fis-1249	174	10	c.	c.	PROPN
fis-1249	174	11	,	,	PUNCT
fis-1249	174	12	su	su	PROPN
fis-1249	174	13	,	,	PUNCT
fis-1249	174	14	y.	y.	PROPN
fis-1249	174	15	,	,	PUNCT
fis-1249	174	16	zhang	zhang	PROPN
fis-1249	174	17	,	,	PUNCT
fis-1249	174	18	y.	y.	PROPN
fis-1249	174	19	,	,	PUNCT
fis-1249	174	20	girardo	girardo	PROPN
fis-1249	174	21	,	,	PUNCT
fis-1249	174	22	s.	s.	PROPN
fis-1249	174	23	,	,	PUNCT
fis-1249	174	24	pisignano	pisignano	PROPN
fis-1249	174	25	,	,	PUNCT
fis-1249	174	26	d.	d.	PROPN
fis-1249	174	27	,	,	PUNCT
fis-1249	174	28	huang	huang	PROPN
fis-1249	174	29	,	,	PUNCT
fis-1249	174	30	y.	y.	PROPN
fis-1249	174	31	,	,	PUNCT
fis-1249	174	32	rogers	rogers	PROPN
fis-1249	174	33	,	,	PUNCT
fis-1249	174	34	j.	j.	PROPN
fis-1249	174	35	a.	a.	PROPN
fis-1249	174	36	,	,	PUNCT
fis-1249	174	37	high	high	ADJ
fis-1249	174	38	performance	performance	NOUN
fis-1249	174	39	piezoelectric	piezoelectric	NOUN
fis-1249	174	40	devices	device	NOUN
fis-1249	174	41	based	base	VERB
fis-1249	174	42	on	on	ADP
fis-1249	174	43	aligned	aligned	ADJ
fis-1249	174	44	arrays	array	NOUN
fis-1249	174	45	of	of	ADP
fis-1249	174	46	nanofibers	nanofiber	NOUN
fis-1249	174	47	of	of	ADP
fis-1249	174	48	pvdf	pvdf	PROPN
fis-1249	174	49	,	,	PUNCT
fis-1249	174	50	nature	nature	NOUN
fis-1249	174	51	communications	communication	NOUN
fis-1249	174	52	,	,	PUNCT
fis-1249	174	53	1633	1633	NUM
fis-1249	174	54	(	(	PUNCT
fis-1249	174	55	2013	2013	NUM
fis-1249	174	56	)	)	PUNCT
fis-1249	174	57	4	4	NUM
fis-1249	174	58	.	.	PUNCT
fis-1249	175	1	[	[	X
fis-1249	175	2	4	4	NUM
fis-1249	175	3	]	]	X
fis-1249	175	4	pisignano	pisignano	PROPN
fis-1249	175	5	,	,	PUNCT
fis-1249	175	6	d.	d.	PROPN
fis-1249	175	7	,	,	PUNCT
fis-1249	175	8	polymer	polymer	NOUN
fis-1249	175	9	nanofibers	nanofiber	NOUN
fis-1249	175	10	.	.	PUNCT
fis-1249	176	1	cambridge	cambridge	NOUN
fis-1249	176	2	:	:	PUNCT
fis-1249	176	3	royal	royal	ADJ
fis-1249	176	4	society	society	NOUN
fis-1249	176	5	of	of	ADP
fis-1249	176	6	chemistry	chemistry	NOUN
fis-1249	176	7	,	,	PUNCT
fis-1249	176	8	(	(	PUNCT
fis-1249	176	9	2013	2013	NUM
fis-1249	176	10	)	)	PUNCT
fis-1249	176	11	.	.	PUNCT
fis-1249	177	1	[	[	X
fis-1249	177	2	5	5	NUM
fis-1249	177	3	]	]	X
fis-1249	177	4	maruccio	maruccio	PROPN
fis-1249	177	5	,	,	PUNCT
fis-1249	177	6	c.	c.	PROPN
fis-1249	177	7	,	,	PUNCT
fis-1249	177	8	de	de	X
fis-1249	177	9	lorenzis	lorenzis	PROPN
fis-1249	177	10	,	,	PUNCT
fis-1249	177	11	l.	l.	PROPN
fis-1249	177	12	,	,	PUNCT
fis-1249	177	13	persano	persano	PROPN
fis-1249	177	14	,	,	PUNCT
fis-1249	177	15	l.	l.	PROPN
fis-1249	177	16	,	,	PUNCT
fis-1249	177	17	pisignano	pisignano	PROPN
fis-1249	177	18	,	,	PUNCT
fis-1249	177	19	d.	d.	PROPN
fis-1249	177	20	,	,	PUNCT
fis-1249	177	21	computational	computational	ADJ
fis-1249	177	22	homogenization	homogenization	NOUN
fis-1249	177	23	of	of	ADP
fis-1249	177	24	fibrous	fibrous	ADJ
fis-1249	177	25	piezoelectric	piezoelectric	NOUN
fis-1249	177	26	materials	material	NOUN
fis-1249	177	27	.	.	PUNCT
fis-1249	177	28	submitted	submit	VERB
fis-1249	177	29	.	.	PUNCT
fis-1249	178	1	[	[	X
fis-1249	178	2	6	6	NUM
fis-1249	178	3	]	]	SYM
fis-1249	178	4	huet	huet	PROPN
fis-1249	178	5	,	,	PUNCT
fis-1249	178	6	c.	c.	PROPN
fis-1249	178	7	,	,	PUNCT
fis-1249	178	8	application	application	NOUN
fis-1249	178	9	of	of	ADP
fis-1249	178	10	variational	variational	ADJ
fis-1249	178	11	concepts	concept	NOUN
fis-1249	178	12	to	to	PART
fis-1249	178	13	size	size	VERB
fis-1249	178	14	effects	effect	NOUN
fis-1249	178	15	in	in	ADP
fis-1249	178	16	elastic	elastic	ADJ
fis-1249	178	17	heterogeneous	heterogeneous	ADJ
fis-1249	178	18	bodies	body	NOUN
fis-1249	178	19	,	,	PUNCT
fis-1249	178	20	j.	j.	PROPN
fis-1249	178	21	mech	mech	PROPN
fis-1249	178	22	.	.	PUNCT
fis-1249	179	1	phys	phy	NOUN
fis-1249	179	2	.	.	PUNCT
fis-1249	180	1	solids	solid	NOUN
fis-1249	180	2	,	,	PUNCT
fis-1249	180	3	38(6	38(6	NOUN
fis-1249	180	4	)	)	PUNCT
fis-1249	180	5	(	(	PUNCT
fis-1249	180	6	1990	1990	NUM
fis-1249	180	7	)	)	PUNCT
fis-1249	180	8	813–841	813–841	NUM
fis-1249	180	9	.	.	PUNCT
fis-1249	181	1	[	[	X
fis-1249	181	2	7	7	X
fis-1249	181	3	]	]	X
fis-1249	181	4	terada	terada	PROPN
fis-1249	181	5	,	,	PUNCT
fis-1249	181	6	k.	k.	PROPN
fis-1249	181	7	,	,	PUNCT
fis-1249	181	8	hori	hori	PROPN
fis-1249	181	9	,	,	PUNCT
fis-1249	181	10	m.	m.	NOUN
fis-1249	181	11	,	,	PUNCT
fis-1249	181	12	kyoya	kyoya	PROPN
fis-1249	181	13	t.	t.	PROPN
fis-1249	181	14	,	,	PUNCT
fis-1249	181	15	kikuchi	kikuchi	PROPN
fis-1249	181	16	n.	n.	PROPN
fis-1249	181	17	,	,	PUNCT
fis-1249	181	18	simulation	simulation	NOUN
fis-1249	181	19	of	of	ADP
fis-1249	181	20	the	the	DET
fis-1249	181	21	multi	multi	ADJ
fis-1249	181	22	-	-	ADJ
fis-1249	181	23	scale	scale	ADJ
fis-1249	181	24	convergence	convergence	NOUN
fis-1249	181	25	in	in	ADP
fis-1249	181	26	computational	computational	ADJ
fis-1249	181	27	homogenization	homogenization	NOUN
fis-1249	181	28	approach	approach	NOUN
fis-1249	181	29	,	,	PUNCT
fis-1249	181	30	int	int	NOUN
fis-1249	181	31	.	.	PUNCT
fis-1249	182	1	j.	j.	PROPN
fis-1249	182	2	solids	solids	PROPN
fis-1249	182	3	struct	struct	NOUN
fis-1249	182	4	.	.	PUNCT
fis-1249	182	5	,	,	PUNCT
fis-1249	182	6	37	37	NUM
fis-1249	182	7	(	(	PUNCT
fis-1249	182	8	2000	2000	NUM
fis-1249	182	9	)	)	PUNCT
fis-1249	182	10	2285–2311	2285–2311	NUM
fis-1249	182	11	.	.	PUNCT
fis-1249	183	1	[	[	X
fis-1249	183	2	8	8	NUM
fis-1249	183	3	]	]	X
fis-1249	183	4	kanit	kanit	PROPN
fis-1249	183	5	,	,	PUNCT
fis-1249	183	6	t.	t.	PROPN
fis-1249	183	7	,	,	PUNCT
fis-1249	183	8	forest	forest	NOUN
fis-1249	183	9	,	,	PUNCT
fis-1249	183	10	s.	s.	PROPN
fis-1249	183	11	,	,	PUNCT
fis-1249	183	12	galliet	galliet	NOUN
fis-1249	183	13	,	,	PUNCT
fis-1249	183	14	i.	i.	PROPN
fis-1249	183	15	,	,	PUNCT
fis-1249	183	16	mounoury	mounoury	PROPN
fis-1249	183	17	v.	v.	PROPN
fis-1249	183	18	,	,	PUNCT
fis-1249	183	19	jeulin	jeulin	PROPN
fis-1249	183	20	,	,	PUNCT
fis-1249	183	21	d.	d.	PROPN
fis-1249	183	22	,	,	PUNCT
fis-1249	183	23	determination	determination	NOUN
fis-1249	183	24	of	of	ADP
fis-1249	183	25	the	the	DET
fis-1249	183	26	size	size	NOUN
fis-1249	183	27	of	of	ADP
fis-1249	183	28	the	the	DET
fis-1249	183	29	representative	representative	ADJ
fis-1249	183	30	volume	volume	NOUN
fis-1249	183	31	element	element	NOUN
fis-1249	183	32	for	for	ADP
fis-1249	183	33	random	random	ADJ
fis-1249	183	34	composites	composite	NOUN
fis-1249	183	35	:	:	PUNCT
fis-1249	183	36	statistical	statistical	ADJ
fis-1249	183	37	and	and	CCONJ
fis-1249	183	38	numerical	numerical	ADJ
fis-1249	183	39	approach	approach	NOUN
fis-1249	183	40	,	,	PUNCT
fis-1249	183	41	int	int	NOUN
fis-1249	183	42	.	.	PUNCT
fis-1249	184	1	j.	j.	PROPN
fis-1249	184	2	solids	solids	PROPN
fis-1249	184	3	struct	struct	NOUN
fis-1249	184	4	.	.	PUNCT
fis-1249	184	5	,	,	PUNCT
fis-1249	184	6	40	40	NUM
fis-1249	184	7	(	(	PUNCT
fis-1249	184	8	2003	2003	NUM
fis-1249	184	9	)	)	PUNCT
fis-1249	184	10	3647–3679	3647–3679	NUM
fis-1249	184	11	.	.	PUNCT
fis-1249	185	1	[	[	X
fis-1249	185	2	9	9	NUM
fis-1249	185	3	]	]	PUNCT
fis-1249	185	4	bisegna	bisegna	VERB
fis-1249	185	5	,	,	PUNCT
fis-1249	185	6	p.	p.	PROPN
fis-1249	185	7	,	,	PUNCT
fis-1249	185	8	luciano	luciano	PROPN
fis-1249	185	9	,	,	PUNCT
fis-1249	185	10	r.	r.	PROPN
fis-1249	185	11	,	,	PUNCT
fis-1249	185	12	bounds	bound	VERB
fis-1249	185	13	on	on	ADP
fis-1249	185	14	the	the	DET
fis-1249	185	15	overall	overall	ADJ
fis-1249	185	16	properties	property	NOUN
fis-1249	185	17	of	of	ADP
fis-1249	185	18	composites	composite	NOUN
fis-1249	185	19	with	with	ADP
fis-1249	185	20	debonded	debonde	VERB
fis-1249	185	21	frictionless	frictionless	NOUN
fis-1249	185	22	interfaces	interface	NOUN
fis-1249	185	23	.	.	PUNCT
fis-1249	186	1	mechanics	mechanic	NOUN
fis-1249	186	2	of	of	ADP
fis-1249	186	3	materials	material	NOUN
fis-1249	186	4	,	,	PUNCT
fis-1249	186	5	28	28	NUM
fis-1249	186	6	(	(	PUNCT
fis-1249	186	7	1998	1998	NUM
fis-1249	186	8	)	)	PUNCT
fis-1249	186	9	23	23	NUM
fis-1249	186	10	-	-	SYM
fis-1249	186	11	32	32	NUM
fis-1249	186	12	.	.	PUNCT
fis-1249	187	1	[	[	X
fis-1249	187	2	10	10	NUM
fis-1249	187	3	]	]	X
fis-1249	187	4	kouznetsova	kouznetsova	X
fis-1249	187	5	,	,	PUNCT
fis-1249	187	6	v.	v.	ADV
fis-1249	187	7	,	,	PUNCT
fis-1249	187	8	brekelmans	brekelman	NOUN
fis-1249	187	9	,	,	PUNCT
fis-1249	187	10	w.	w.	PROPN
fis-1249	187	11	a.	a.	NOUN
fis-1249	187	12	m.	m.	PROPN
fis-1249	187	13	,	,	PUNCT
fis-1249	187	14	baaijens	baaijen	NOUN
fis-1249	187	15	f.	f.	PROPN
fis-1249	187	16	p.	p.	PROPN
fis-1249	187	17	t.	t.	PROPN
fis-1249	187	18	,	,	PUNCT
fis-1249	187	19	an	an	DET
fis-1249	187	20	approach	approach	NOUN
fis-1249	187	21	to	to	ADP
fis-1249	187	22	micro	micro	NOUN
fis-1249	187	23	-	-	NOUN
fis-1249	187	24	macro	macro	ADJ
fis-1249	187	25	modeling	modeling	NOUN
fis-1249	187	26	of	of	ADP
fis-1249	187	27	heterogeneous	heterogeneous	ADJ
fis-1249	187	28	materials	material	NOUN
fis-1249	187	29	.	.	PUNCT
fis-1249	188	1	comput	comput	NOUN
fis-1249	188	2	.	.	PUNCT
fis-1249	189	1	mech	mech	PROPN
fis-1249	189	2	.	.	PROPN
fis-1249	189	3	,	,	PUNCT
fis-1249	189	4	27	27	NUM
fis-1249	189	5	(	(	PUNCT
fis-1249	189	6	2001	2001	NUM
fis-1249	189	7	)	)	PUNCT
fis-1249	189	8	37	37	NUM
fis-1249	189	9	-	-	SYM
fis-1249	189	10	48	48	NUM
fis-1249	189	11	.	.	PUNCT
fis-1249	190	1	[	[	X
fis-1249	190	2	11	11	NUM
fis-1249	190	3	]	]	PUNCT
fis-1249	190	4	geers	geer	NOUN
fis-1249	190	5	,	,	PUNCT
fis-1249	190	6	m.	m.	NOUN
fis-1249	190	7	g.	g.	PROPN
fis-1249	190	8	d.	d.	PROPN
fis-1249	190	9	,	,	PUNCT
fis-1249	190	10	kouznetsova	kouznetsova	PROPN
fis-1249	190	11	,	,	PUNCT
fis-1249	190	12	v.	v.	PROPN
fis-1249	190	13	g.	g.	PROPN
fis-1249	190	14	,	,	PUNCT
fis-1249	190	15	brekelmans	brekelman	NOUN
fis-1249	190	16	,	,	PUNCT
fis-1249	190	17	w.	w.	PROPN
fis-1249	190	18	a.	a.	NOUN
fis-1249	190	19	m.	m.	PROPN
fis-1249	190	20	,	,	PUNCT
fis-1249	190	21	multi	multi	ADJ
fis-1249	190	22	-	-	ADJ
fis-1249	190	23	scale	scale	ADJ
fis-1249	190	24	first	first	ADJ
fis-1249	190	25	-	-	PUNCT
fis-1249	190	26	order	order	NOUN
fis-1249	190	27	and	and	CCONJ
fis-1249	190	28	second	second	ADJ
fis-1249	190	29	-	-	PUNCT
fis-1249	190	30	order	order	NOUN
fis-1249	190	31	computational	computational	ADJ
fis-1249	190	32	homogenisation	homogenisation	NOUN
fis-1249	190	33	of	of	ADP
fis-1249	190	34	microstructures	microstructure	NOUN
fis-1249	190	35	towards	towards	ADP
fis-1249	190	36	continua	continuum	NOUN
fis-1249	190	37	,	,	PUNCT
fis-1249	190	38	int	int	NOUN
fis-1249	190	39	.	.	PUNCT
fis-1249	191	1	j.	j.	PROPN
fis-1249	191	2	multiscale	multiscale	PROPN
fis-1249	191	3	comput	comput	PROPN
fis-1249	191	4	.	.	PUNCT
fis-1249	192	1	eng	eng	PROPN
fis-1249	192	2	.	.	PROPN
fis-1249	192	3	,	,	PUNCT
fis-1249	192	4	1	1	NUM
fis-1249	192	5	(	(	PUNCT
fis-1249	192	6	2003	2003	NUM
fis-1249	192	7	)	)	PUNCT
fis-1249	192	8	371	371	NUM
fis-1249	192	9	-	-	SYM
fis-1249	192	10	386	386	NUM
fis-1249	192	11	.	.	PUNCT
fis-1249	193	1	[	[	X
fis-1249	193	2	12	12	NUM
fis-1249	193	3	]	]	PUNCT
fis-1249	193	4	kouznetsova	kouznetsova	NOUN
fis-1249	193	5	,	,	PUNCT
fis-1249	193	6	v.	v.	ADV
fis-1249	193	7	,	,	PUNCT
fis-1249	193	8	geers	geer	NOUN
fis-1249	193	9	,	,	PUNCT
fis-1249	193	10	m.	m.	NOUN
fis-1249	193	11	g.	g.	PROPN
fis-1249	193	12	d.	d.	PROPN
fis-1249	193	13	,	,	PUNCT
fis-1249	193	14	brekelmans	brekelman	NOUN
fis-1249	193	15	,	,	PUNCT
fis-1249	193	16	w.	w.	PROPN
fis-1249	193	17	a.	a.	NOUN
fis-1249	193	18	m.	m.	PROPN
fis-1249	193	19	,	,	PUNCT
fis-1249	193	20	multi	multi	ADJ
fis-1249	193	21	-	-	ADJ
fis-1249	193	22	scale	scale	ADJ
fis-1249	193	23	constitutive	constitutive	ADJ
fis-1249	193	24	modelling	modelling	NOUN
fis-1249	193	25	of	of	ADP
fis-1249	193	26	heterogeneous	heterogeneous	ADJ
fis-1249	193	27	materials	material	NOUN
fis-1249	193	28	with	with	ADP
fis-1249	193	29	a	a	DET
fis-1249	193	30	gradient	gradient	NOUN
fis-1249	193	31	-	-	PUNCT
fis-1249	193	32	enhanced	enhance	VERB
fis-1249	193	33	computational	computational	ADJ
fis-1249	193	34	homogenisation	homogenisation	NOUN
fis-1249	193	35	scheme	scheme	NOUN
fis-1249	193	36	,	,	PUNCT
fis-1249	193	37	int	int	NOUN
fis-1249	193	38	.	.	PUNCT
fis-1249	194	1	j.	j.	PROPN
fis-1249	194	2	numer	numer	PROPN
fis-1249	194	3	.	.	PUNCT
fis-1249	194	4	meth	meth	PROPN
fis-1249	194	5	.	.	PUNCT
fis-1249	195	1	eng	eng	PROPN
fis-1249	195	2	.	.	PROPN
fis-1249	195	3	,	,	PUNCT
fis-1249	195	4	54	54	NUM
fis-1249	195	5	(	(	PUNCT
fis-1249	195	6	2002	2002	NUM
fis-1249	195	7	)	)	PUNCT
fis-1249	195	8	1235	1235	NUM
fis-1249	195	9	-	-	SYM
fis-1249	195	10	1260	1260	NUM
fis-1249	195	11	.	.	PUNCT
fis-1249	196	1	[	[	X
fis-1249	196	2	13	13	NUM
fis-1249	196	3	]	]	PUNCT
fis-1249	196	4	miehe	miehe	PROPN
fis-1249	196	5	,	,	PUNCT
fis-1249	196	6	c.	c.	PROPN
fis-1249	196	7	,	,	PUNCT
fis-1249	196	8	computational	computational	ADJ
fis-1249	196	9	micro	micro	NOUN
fis-1249	196	10	-	-	PUNCT
fis-1249	196	11	to	to	ADP
fis-1249	196	12	-	-	PUNCT
fis-1249	196	13	macro	macro	NOUN
fis-1249	196	14	transitions	transition	NOUN
fis-1249	196	15	for	for	ADP
fis-1249	196	16	discretized	discretized	ADJ
fis-1249	196	17	microstructures	microstructure	NOUN
fis-1249	196	18	of	of	ADP
fis-1249	196	19	heterogeneous	heterogeneous	ADJ
fis-1249	196	20	materials	material	NOUN
fis-1249	196	21	at	at	ADP
fis-1249	196	22	finite	finite	ADJ
fis-1249	196	23	strains	strain	NOUN
fis-1249	196	24	based	base	VERB
fis-1249	196	25	on	on	ADP
fis-1249	196	26	the	the	DET
fis-1249	196	27	minimization	minimization	NOUN
fis-1249	196	28	of	of	ADP
fis-1249	196	29	averaged	average	VERB
fis-1249	196	30	incremental	incremental	ADJ
fis-1249	196	31	energy	energy	NOUN
fis-1249	196	32	,	,	PUNCT
fis-1249	196	33	comput	comput	NOUN
fis-1249	196	34	.	.	PUNCT
fis-1249	197	1	methods	method	NOUN
fis-1249	197	2	appl	appl	PROPN
fis-1249	197	3	.	.	PROPN
fis-1249	197	4	mech	mech	PROPN
fis-1249	197	5	.	.	PUNCT
fis-1249	198	1	eng	eng	PROPN
fis-1249	198	2	.	.	PROPN
fis-1249	198	3	,	,	PUNCT
fis-1249	198	4	192	192	NUM
fis-1249	198	5	(	(	PUNCT
fis-1249	198	6	2003	2003	NUM
fis-1249	198	7	)	)	PUNCT
fis-1249	198	8	559–91	559–91	NUM
fis-1249	198	9	.	.	PUNCT
fis-1249	199	1	t	t	PROPN
fis-1249	199	2	t	t	PROPN
fis-1249	199	3	c.	c.	PROPN
fis-1249	199	4	maruccio	maruccio	PROPN
fis-1249	199	5	et	et	PROPN
fis-1249	199	6	alii	alii	PROPN
fis-1249	199	7	,	,	PUNCT
fis-1249	199	8	frattura	frattura	PROPN
fis-1249	199	9	ed	ed	PROPN
fis-1249	199	10	integrità	integrità	PROPN
fis-1249	199	11	strutturale	strutturale	PROPN
fis-1249	199	12	,	,	PUNCT
fis-1249	199	13	29	29	NUM
fis-1249	199	14	(	(	PUNCT
fis-1249	199	15	2014	2014	NUM
fis-1249	199	16	)	)	PUNCT
fis-1249	199	17	49	49	NUM
fis-1249	199	18	-	-	SYM
fis-1249	199	19	60	60	NUM
fis-1249	199	20	;	;	PUNCT
fis-1249	199	21	doi	doi	NOUN
fis-1249	199	22	:	:	PUNCT
fis-1249	199	23	10.3221	10.3221	NUM
fis-1249	199	24	/	/	SYM
fis-1249	199	25	igf	igf	PROPN
fis-1249	199	26	-	-	PUNCT
fis-1249	199	27	esis.29.06	esis.29.06	NOUN
fis-1249	199	28	60	60	NUM
fis-1249	200	1	[	[	SYM
fis-1249	200	2	14	14	NUM
fis-1249	200	3	]	]	SYM
fis-1249	200	4	berger	berger	PROPN
fis-1249	200	5	,	,	PUNCT
fis-1249	200	6	h.	h.	PROPN
fis-1249	200	7	,	,	PUNCT
fis-1249	200	8	gabbert	gabbert	PROPN
fis-1249	200	9	,	,	PUNCT
fis-1249	200	10	u.	u.	PROPN
fis-1249	200	11	,	,	PUNCT
fis-1249	200	12	koeppe	koeppe	PROPN
fis-1249	200	13	,	,	PUNCT
fis-1249	200	14	h.	h.	PROPN
fis-1249	200	15	,	,	PUNCT
fis-1249	200	16	rodriguez	rodriguez	PROPN
fis-1249	200	17	-	-	PUNCT
fis-1249	200	18	ramos	ramos	PROPN
fis-1249	200	19	,	,	PUNCT
fis-1249	200	20	r.	r.	PROPN
fis-1249	200	21	,	,	PUNCT
fis-1249	200	22	bravo	bravo	PROPN
fis-1249	200	23	-	-	PUNCT
fis-1249	200	24	castillero	castillero	PROPN
fis-1249	200	25	,	,	PUNCT
fis-1249	200	26	j.	j.	PROPN
fis-1249	200	27	,	,	PUNCT
fis-1249	200	28	diaz	diaz	PROPN
fis-1249	200	29	,	,	PUNCT
fis-1249	200	30	g.	g.	PROPN
fis-1249	200	31	r.	r.	PROPN
fis-1249	200	32	,	,	PUNCT
fis-1249	200	33	otero	otero	PROPN
fis-1249	200	34	,	,	PUNCT
fis-1249	200	35	j.	j.	PROPN
fis-1249	200	36	a.	a.	PROPN
fis-1249	200	37	,	,	PUNCT
fis-1249	200	38	maugin	maugin	PROPN
fis-1249	200	39	,	,	PUNCT
fis-1249	200	40	g.	g.	PROPN
fis-1249	200	41	a.	a.	PROPN
fis-1249	200	42	,	,	PUNCT
fis-1249	200	43	finite	finite	PROPN
fis-1249	200	44	element	element	NOUN
fis-1249	200	45	and	and	CCONJ
fis-1249	200	46	asymptotic	asymptotic	ADJ
fis-1249	200	47	homogenization	homogenization	NOUN
fis-1249	200	48	methods	method	NOUN
fis-1249	200	49	applied	apply	VERB
fis-1249	200	50	to	to	ADP
fis-1249	200	51	smart	smart	ADJ
fis-1249	200	52	composite	composite	ADJ
fis-1249	200	53	materials	material	NOUN
fis-1249	200	54	,	,	PUNCT
fis-1249	200	55	comput	comput	NOUN
fis-1249	200	56	.	.	PUNCT
fis-1249	201	1	mech	mech	PROPN
fis-1249	201	2	.	.	PROPN
fis-1249	201	3	,	,	PUNCT
fis-1249	201	4	33	33	NUM
fis-1249	201	5	(	(	PUNCT
fis-1249	201	6	2003	2003	NUM
fis-1249	201	7	)	)	PUNCT
fis-1249	201	8	61	61	NUM
fis-1249	201	9	-	-	SYM
fis-1249	201	10	7	7	NUM
fis-1249	201	11	.	.	PUNCT
fis-1249	202	1	[	[	X
fis-1249	202	2	15	15	NUM
fis-1249	202	3	]	]	X
fis-1249	202	4	berger	berger	PROPN
fis-1249	202	5	,	,	PUNCT
fis-1249	202	6	h.	h.	PROPN
fis-1249	202	7	,	,	PUNCT
fis-1249	202	8	kari	kari	PROPN
fis-1249	202	9	,	,	PUNCT
fis-1249	202	10	s.	s.	PROPN
fis-1249	202	11	,	,	PUNCT
fis-1249	202	12	gabbert	gabbert	PROPN
fis-1249	202	13	,	,	PUNCT
fis-1249	202	14	u.	u.	PROPN
fis-1249	202	15	,	,	PUNCT
fis-1249	202	16	rodriguez	rodriguez	NOUN
fis-1249	202	17	-	-	PUNCT
fis-1249	202	18	ramos	ramos	PROPN
fis-1249	202	19	,	,	PUNCT
fis-1249	202	20	r.	r.	PROPN
fis-1249	202	21	,	,	PUNCT
fis-1249	202	22	guinovart	guinovart	PROPN
fis-1249	202	23	-	-	PUNCT
fis-1249	202	24	diaz	diaz	PROPN
fis-1249	202	25	,	,	PUNCT
fis-1249	202	26	r.	r.	PROPN
fis-1249	202	27	,	,	PUNCT
fis-1249	202	28	otero	otero	PROPN
fis-1249	202	29	,	,	PUNCT
fis-1249	202	30	j.	j.	PROPN
fis-1249	202	31	a.	a.	PROPN
fis-1249	202	32	,	,	PUNCT
fis-1249	202	33	bravo	bravo	PROPN
fis-1249	202	34	-	-	PUNCT
fis-1249	202	35	castillero	castillero	PROPN
fis-1249	202	36	j.	j.	PROPN
fis-1249	202	37	,	,	PUNCT
fis-1249	202	38	an	an	DET
fis-1249	202	39	analytical	analytical	ADJ
fis-1249	202	40	and	and	CCONJ
fis-1249	202	41	numerical	numerical	ADJ
fis-1249	202	42	approach	approach	NOUN
fis-1249	202	43	for	for	ADP
fis-1249	202	44	calculating	calculate	VERB
fis-1249	202	45	effective	effective	ADJ
fis-1249	202	46	material	material	ADJ
fis-1249	202	47	coefficients	coefficient	NOUN
fis-1249	202	48	of	of	ADP
fis-1249	202	49	piezoelectric	piezoelectric	ADJ
fis-1249	202	50	fiber	fiber	NOUN
fis-1249	202	51	composites	composite	NOUN
fis-1249	202	52	,	,	PUNCT
fis-1249	202	53	int	int	NOUN
fis-1249	202	54	.	.	PUNCT
fis-1249	203	1	j.	j.	PROPN
fis-1249	203	2	solids	solids	PROPN
fis-1249	203	3	struct	struct	NOUN
fis-1249	203	4	.	.	PUNCT
fis-1249	203	5	,	,	PUNCT
fis-1249	203	6	42	42	NUM
fis-1249	203	7	(	(	PUNCT
fis-1249	203	8	2004	2004	NUM
fis-1249	203	9	)	)	PUNCT
fis-1249	203	10	5692	5692	NUM
fis-1249	203	11	-	-	SYM
fis-1249	203	12	714	714	NUM
fis-1249	203	13	.	.	PUNCT
fis-1249	204	1	[	[	X
fis-1249	204	2	16	16	NUM
fis-1249	204	3	]	]	X
fis-1249	204	4	schroeder	schroeder	PROPN
fis-1249	204	5	j.	j.	PROPN
fis-1249	204	6	,	,	PUNCT
fis-1249	204	7	keip	keip	PROPN
fis-1249	204	8	,	,	PUNCT
fis-1249	204	9	m.	m.	NOUN
fis-1249	204	10	,	,	PUNCT
fis-1249	204	11	two	two	NUM
fis-1249	204	12	-	-	PUNCT
fis-1249	204	13	scale	scale	NOUN
fis-1249	204	14	homogenization	homogenization	NOUN
fis-1249	204	15	of	of	ADP
fis-1249	204	16	electromechanically	electromechanically	ADV
fis-1249	204	17	coupled	couple	VERB
fis-1249	204	18	boundary	boundary	ADJ
fis-1249	204	19	value	value	NOUN
fis-1249	204	20	problems	problem	NOUN
fis-1249	204	21	consistent	consistent	ADJ
fis-1249	204	22	linearization	linearization	NOUN
fis-1249	204	23	and	and	CCONJ
fis-1249	204	24	applications	application	NOUN
fis-1249	204	25	,	,	PUNCT
fis-1249	204	26	computational	computational	ADJ
fis-1249	204	27	mechanics	mechanic	NOUN
fis-1249	204	28	,	,	PUNCT
fis-1249	204	29	50(2	50(2	NUM
fis-1249	204	30	)	)	PUNCT
fis-1249	204	31	(	(	PUNCT
fis-1249	204	32	2012	2012	NUM
fis-1249	204	33	)	)	PUNCT
fis-1249	204	34	229	229	NUM
fis-1249	204	35	-	-	SYM
fis-1249	204	36	244	244	NUM
fis-1249	204	37	.	.	PUNCT
fis-1249	205	1	[	[	X
fis-1249	205	2	17	17	NUM
fis-1249	205	3	]	]	X
fis-1249	205	4	schulz	schulz	PROPN
fis-1249	205	5	,	,	PUNCT
fis-1249	205	6	k.	k.	PROPN
fis-1249	205	7	,	,	PUNCT
fis-1249	205	8	klinkel	klinkel	PROPN
fis-1249	205	9	,	,	PUNCT
fis-1249	205	10	s.	s.	PROPN
fis-1249	205	11	,	,	PUNCT
fis-1249	205	12	wagner	wagner	PROPN
fis-1249	205	13	,	,	PUNCT
fis-1249	205	14	w.	w.	PROPN
fis-1249	205	15	,	,	PUNCT
fis-1249	205	16	a	a	DET
fis-1249	205	17	finite	finite	ADJ
fis-1249	205	18	element	element	NOUN
fis-1249	205	19	formulation	formulation	NOUN
fis-1249	205	20	for	for	ADP
fis-1249	205	21	piezoelectric	piezoelectric	ADJ
fis-1249	205	22	shell	shell	NOUN
fis-1249	205	23	structures	structure	NOUN
fis-1249	205	24	considering	consider	VERB
fis-1249	205	25	geometrical	geometrical	ADJ
fis-1249	205	26	and	and	CCONJ
fis-1249	205	27	material	material	ADJ
fis-1249	205	28	non	non	NOUN
fis-1249	205	29	-	-	NOUN
fis-1249	205	30	linearities	linearity	NOUN
fis-1249	205	31	,	,	PUNCT
fis-1249	205	32	int	int	NOUN
fis-1249	205	33	.	.	PUNCT
fis-1249	206	1	j.	j.	PROPN
fis-1249	206	2	numerical	numerical	PROPN
fis-1249	206	3	methods	method	NOUN
fis-1249	206	4	in	in	ADP
fis-1249	206	5	engineering	engineering	NOUN
fis-1249	206	6	,	,	PUNCT
fis-1249	206	7	87	87	NUM
fis-1249	206	8	(	(	PUNCT
fis-1249	206	9	2011	2011	NUM
fis-1249	206	10	)	)	PUNCT
fis-1249	206	11	491–520	491–520	NUM
fis-1249	206	12	.	.	PUNCT
fis-1249	207	1	[	[	X
fis-1249	207	2	18	18	NUM
fis-1249	207	3	]	]	SYM
fis-1249	207	4	klinkel	klinkel	PROPN
fis-1249	207	5	,	,	PUNCT
fis-1249	207	6	s.	s.	PROPN
fis-1249	207	7	,	,	PUNCT
fis-1249	207	8	wagner	wagner	PROPN
fis-1249	207	9	,	,	PUNCT
fis-1249	207	10	w.	w.	PROPN
fis-1249	207	11	,	,	PUNCT
fis-1249	207	12	a	a	DET
fis-1249	207	13	piezoelectric	piezoelectric	ADJ
fis-1249	207	14	solid	solid	ADJ
fis-1249	207	15	shell	shell	NOUN
fis-1249	207	16	element	element	NOUN
fis-1249	207	17	based	base	VERB
fis-1249	207	18	on	on	ADP
fis-1249	207	19	a	a	DET
fis-1249	207	20	mixed	mixed	ADJ
fis-1249	207	21	variational	variational	ADJ
fis-1249	207	22	formulation	formulation	NOUN
fis-1249	207	23	for	for	ADP
fis-1249	207	24	geometrically	geometrically	ADV
fis-1249	207	25	linear	linear	ADJ
fis-1249	207	26	and	and	CCONJ
fis-1249	207	27	nonlinear	nonlinear	ADJ
fis-1249	207	28	applications	application	NOUN
fis-1249	207	29	.	.	PUNCT
fis-1249	208	1	computers	computer	NOUN
fis-1249	208	2	and	and	CCONJ
fis-1249	208	3	structures	structure	NOUN
fis-1249	208	4	,	,	PUNCT
fis-1249	208	5	86	86	NUM
fis-1249	208	6	(	(	PUNCT
fis-1249	208	7	2008	2008	NUM
fis-1249	208	8	)	)	PUNCT
fis-1249	208	9	38–46	38–46	NUM
fis-1249	208	10	.	.	PUNCT
fis-1249	209	1	[	[	X
fis-1249	209	2	19	19	NUM
fis-1249	209	3	]	]	SYM
fis-1249	209	4	klinkel	klinkel	PROPN
fis-1249	209	5	,	,	PUNCT
fis-1249	209	6	s.	s.	PROPN
fis-1249	209	7	,	,	PUNCT
fis-1249	209	8	gruttmann	gruttmann	NOUN
fis-1249	209	9	,	,	PUNCT
fis-1249	209	10	f.	f.	PROPN
fis-1249	209	11	,	,	PUNCT
fis-1249	209	12	wagner	wagner	PROPN
fis-1249	209	13	,	,	PUNCT
fis-1249	209	14	w.	w.	PROPN
fis-1249	209	15	,	,	PUNCT
fis-1249	209	16	a	a	DET
fis-1249	209	17	mixed	mixed	ADJ
fis-1249	209	18	shell	shell	NOUN
fis-1249	209	19	formulation	formulation	NOUN
fis-1249	209	20	accounting	accounting	NOUN
fis-1249	209	21	for	for	ADP
fis-1249	209	22	thickness	thickness	NOUN
fis-1249	209	23	strains	strain	NOUN
fis-1249	209	24	and	and	CCONJ
fis-1249	209	25	finite	finite	ADJ
fis-1249	209	26	strain	strain	NOUN
fis-1249	209	27	3d	3d	NUM
fis-1249	209	28	material	material	NOUN
fis-1249	209	29	models	model	NOUN
fis-1249	209	30	,	,	PUNCT
fis-1249	209	31	int	int	NOUN
fis-1249	209	32	.	.	PUNCT
fis-1249	210	1	j.	j.	PROPN
fis-1249	210	2	numerical	numerical	PROPN
fis-1249	210	3	methods	method	NOUN
fis-1249	210	4	in	in	ADP
fis-1249	210	5	engineering	engineering	NOUN
fis-1249	210	6	,	,	PUNCT
fis-1249	210	7	75	75	NUM
fis-1249	210	8	(	(	PUNCT
fis-1249	210	9	2008	2008	NUM
fis-1249	210	10	)	)	PUNCT
fis-1249	210	11	945–970	945–970	NUM
fis-1249	210	12	.	.	PUNCT
fis-1249	211	1	[	[	X
fis-1249	211	2	20	20	NUM
fis-1249	211	3	]	]	X
fis-1249	211	4	fillep	fillep	PROPN
fis-1249	211	5	,	,	PUNCT
fis-1249	211	6	s.	s.	PROPN
fis-1249	211	7	,	,	PUNCT
fis-1249	211	8	mergheim	mergheim	PROPN
fis-1249	211	9	,	,	PUNCT
fis-1249	211	10	j.	j.	PROPN
fis-1249	211	11	,	,	PUNCT
fis-1249	211	12	steinmann	steinmann	PROPN
fis-1249	211	13	,	,	PUNCT
fis-1249	211	14	p.	p.	NOUN
fis-1249	211	15	,	,	PUNCT
fis-1249	211	16	computational	computational	ADJ
fis-1249	211	17	modelling	modelling	NOUN
fis-1249	211	18	and	and	CCONJ
fis-1249	211	19	homogenization	homogenization	NOUN
fis-1249	211	20	of	of	ADP
fis-1249	211	21	technical	technical	ADJ
fis-1249	211	22	textiles	textile	NOUN
fis-1249	211	23	.	.	PUNCT
fis-1249	212	1	eng	eng	PROPN
fis-1249	212	2	.	.	PUNCT
fis-1249	212	3	structures	structure	NOUN
fis-1249	212	4	,	,	PUNCT
fis-1249	212	5	50	50	NUM
fis-1249	212	6	(	(	PUNCT
fis-1249	212	7	2013	2013	NUM
fis-1249	212	8	)	)	PUNCT
fis-1249	212	9	68–73	68–73	SYM
fis-1249	212	10	.	.	PUNCT
fis-1249	213	1	[	[	X
fis-1249	213	2	21	21	NUM
fis-1249	213	3	]	]	X
fis-1249	213	4	coenen	coenen	PROPN
fis-1249	213	5	,	,	PUNCT
fis-1249	213	6	e.	e.	PROPN
fis-1249	213	7	w.	w.	PROPN
fis-1249	213	8	,	,	PUNCT
fis-1249	213	9	kouznetsova	kouznetsova	PROPN
fis-1249	213	10	,	,	PUNCT
fis-1249	213	11	v.	v.	PROPN
fis-1249	213	12	g.	g.	PROPN
fis-1249	213	13	,	,	PUNCT
fis-1249	213	14	geers	geer	NOUN
fis-1249	213	15	,	,	PUNCT
fis-1249	213	16	m.	m.	NOUN
fis-1249	213	17	g.	g.	PROPN
fis-1249	213	18	d.	d.	PROPN
fis-1249	213	19	,	,	PUNCT
fis-1249	213	20	computational	computational	ADJ
fis-1249	213	21	homogenization	homogenization	NOUN
fis-1249	213	22	for	for	ADP
fis-1249	213	23	heterogeneous	heterogeneous	ADJ
fis-1249	213	24	thin	thin	ADJ
fis-1249	213	25	sheets	sheet	NOUN
fis-1249	213	26	.	.	PUNCT
fis-1249	214	1	international	international	ADJ
fis-1249	214	2	journal	journal	PROPN
fis-1249	214	3	for	for	ADP
fis-1249	214	4	numerical	numerical	ADJ
fis-1249	214	5	methods	method	NOUN
fis-1249	214	6	in	in	ADP
fis-1249	214	7	engineering	engineering	NOUN
fis-1249	214	8	,	,	PUNCT
fis-1249	214	9	83	83	NUM
fis-1249	214	10	(	(	PUNCT
fis-1249	214	11	2010	2010	NUM
fis-1249	214	12	)	)	PUNCT
fis-1249	214	13	1180	1180	NUM
fis-1249	214	14	-	-	SYM
fis-1249	214	15	1205	1205	NUM
fis-1249	214	16	.	.	PUNCT
fis-1249	215	1	[	[	X
fis-1249	215	2	22	22	NUM
fis-1249	215	3	]	]	X
fis-1249	215	4	lengiewicz	lengiewicz	NOUN
fis-1249	215	5	,	,	PUNCT
fis-1249	215	6	j.	j.	PROPN
fis-1249	215	7	,	,	PUNCT
fis-1249	215	8	korelc	korelc	PROPN
fis-1249	215	9	,	,	PUNCT
fis-1249	215	10	j.	j.	PROPN
fis-1249	215	11	,	,	PUNCT
fis-1249	215	12	stupkiewicz	stupkiewicz	PROPN
fis-1249	215	13	,	,	PUNCT
fis-1249	215	14	s.	s.	PROPN
fis-1249	215	15	,	,	PUNCT
fis-1249	215	16	automation	automation	NOUN
fis-1249	215	17	of	of	ADP
fis-1249	215	18	finite	finite	PROPN
fis-1249	215	19	element	element	NOUN
fis-1249	215	20	formulations	formulation	NOUN
fis-1249	215	21	for	for	ADP
fis-1249	215	22	large	large	ADJ
fis-1249	215	23	deformation	deformation	NOUN
fis-1249	215	24	contact	contact	NOUN
fis-1249	215	25	problems	problem	NOUN
fis-1249	215	26	.	.	PUNCT
fis-1249	216	1	international	international	ADJ
fis-1249	216	2	journal	journal	PROPN
fis-1249	216	3	for	for	ADP
fis-1249	216	4	numerical	numerical	ADJ
fis-1249	216	5	methods	method	NOUN
fis-1249	216	6	in	in	ADP
fis-1249	216	7	engineering	engineering	NOUN
fis-1249	216	8	,	,	PUNCT
fis-1249	216	9	85	85	NUM
fis-1249	216	10	(	(	PUNCT
fis-1249	216	11	2011	2011	NUM
fis-1249	216	12	)	)	PUNCT
fis-1249	216	13	1252	1252	NUM
fis-1249	216	14	-	-	SYM
fis-1249	216	15	1279	1279	NUM
fis-1249	216	16	.	.	PUNCT