id	sid	tid	token	lemma	pos
fis-1238	1	1	microsoft	microsoft	PROPN
fis-1238	1	2	word	word	NOUN
fis-1238	1	3	numero_29_art_5	numero_29_art_5	PUNCT
fis-1238	1	4	m.l	m.l	PROPN
fis-1238	1	5	.	.	PUNCT
fis-1238	1	6	de	de	PROPN
fis-1238	1	7	bellis	bellis	PROPN
fis-1238	1	8	et	et	PROPN
fis-1238	1	9	alii	alii	PROPN
fis-1238	1	10	,	,	PUNCT
fis-1238	1	11	frattura	frattura	PROPN
fis-1238	1	12	ed	ed	PROPN
fis-1238	1	13	integrità	integrità	PROPN
fis-1238	1	14	strutturale	strutturale	PROPN
fis-1238	1	15	,	,	PUNCT
fis-1238	1	16	29	29	NUM
fis-1238	1	17	(	(	PUNCT
fis-1238	1	18	2014	2014	NUM
fis-1238	1	19	)	)	PUNCT
fis-1238	1	20	37	37	NUM
fis-1238	1	21	-	-	SYM
fis-1238	1	22	48	48	NUM
fis-1238	1	23	;	;	PUNCT
fis-1238	1	24	doi	doi	NOUN
fis-1238	1	25	:	:	PUNCT
fis-1238	1	26	10.3221	10.3221	NUM
fis-1238	1	27	/	/	SYM
fis-1238	1	28	igf	igf	PROPN
fis-1238	1	29	-	-	PUNCT
fis-1238	1	30	esis.29.05	esis.29.05	PROPN
fis-1238	1	31	37	37	NUM
fis-1238	1	32	focussed	focusse	VERB
fis-1238	1	33	on	on	ADP
fis-1238	1	34	:	:	PUNCT
fis-1238	1	35	computational	computational	ADJ
fis-1238	1	36	mechanics	mechanic	NOUN
fis-1238	1	37	and	and	CCONJ
fis-1238	1	38	mechanics	mechanic	NOUN
fis-1238	1	39	of	of	ADP
fis-1238	1	40	materials	material	NOUN
fis-1238	1	41	in	in	ADP
fis-1238	1	42	italy	italy	PROPN
fis-1238	1	43	a	a	DET
fis-1238	1	44	micromechanical	micromechanical	ADJ
fis-1238	1	45	approach	approach	NOUN
fis-1238	1	46	for	for	ADP
fis-1238	1	47	the	the	DET
fis-1238	1	48	micropolar	micropolar	ADJ
fis-1238	1	49	modeling	modeling	NOUN
fis-1238	1	50	of	of	ADP
fis-1238	1	51	heterogeneous	heterogeneous	ADJ
fis-1238	1	52	periodic	periodic	ADJ
fis-1238	1	53	media	medium	NOUN
fis-1238	1	54	m.l	m.l	PROPN
fis-1238	1	55	.	.	PUNCT
fis-1238	1	56	de	de	PROPN
fis-1238	1	57	bellis	bellis	PROPN
fis-1238	1	58	,	,	PUNCT
fis-1238	1	59	d.	d.	PROPN
fis-1238	1	60	addessi	addessi	PROPN
fis-1238	1	61	dipartimento	dipartimento	AUX
fis-1238	1	62	di	di	PROPN
fis-1238	1	63	ingegneria	ingegneria	PROPN
fis-1238	1	64	strutturale	strutturale	PROPN
fis-1238	1	65	e	e	PROPN
fis-1238	1	66	geotecnica	geotecnica	PROPN
fis-1238	1	67	,	,	PUNCT
fis-1238	1	68	università	università	PROPN
fis-1238	1	69	di	di	PROPN
fis-1238	1	70	roma	roma	PROPN
fis-1238	1	71	“	"	PUNCT
fis-1238	1	72	sapienza	sapienza	PROPN
fis-1238	1	73	”	"	PUNCT
fis-1238	1	74	,	,	PUNCT
fis-1238	1	75	via	via	ADP
fis-1238	1	76	eudossiana	eudossiana	PROPN
fis-1238	1	77	,	,	PUNCT
fis-1238	1	78	18	18	NUM
fis-1238	1	79	,	,	PUNCT
fis-1238	1	80	00184	00184	NUM
fis-1238	1	81	roma	roma	PROPN
fis-1238	1	82	,	,	PUNCT
fis-1238	1	83	italy	italy	PROPN
fis-1238	1	84	marialaura.debellis@uniroma1.it	marialaura.debellis@uniroma1.it	NOUN
fis-1238	1	85	,	,	PUNCT
fis-1238	1	86	daniela.addessi@uniroma1.it	daniela.addessi@uniroma1.it	VERB
fis-1238	1	87	abstract	abstract	ADJ
fis-1238	1	88	.	.	PUNCT
fis-1238	2	1	computational	computational	ADJ
fis-1238	2	2	homogenization	homogenization	NOUN
fis-1238	2	3	is	be	AUX
fis-1238	2	4	adopted	adopt	VERB
fis-1238	2	5	to	to	PART
fis-1238	2	6	assess	assess	VERB
fis-1238	2	7	the	the	DET
fis-1238	2	8	homogenized	homogenized	ADJ
fis-1238	2	9	two	two	NUM
fis-1238	2	10	-	-	PUNCT
fis-1238	2	11	dimensional	dimensional	ADJ
fis-1238	2	12	response	response	NOUN
fis-1238	2	13	of	of	ADP
fis-1238	2	14	periodic	periodic	ADJ
fis-1238	2	15	composite	composite	ADJ
fis-1238	2	16	materials	material	NOUN
fis-1238	2	17	where	where	SCONJ
fis-1238	2	18	the	the	DET
fis-1238	2	19	typical	typical	ADJ
fis-1238	2	20	microstructural	microstructural	ADJ
fis-1238	2	21	dimension	dimension	NOUN
fis-1238	2	22	is	be	AUX
fis-1238	2	23	not	not	PART
fis-1238	2	24	negligible	negligible	ADJ
fis-1238	2	25	with	with	ADP
fis-1238	2	26	respect	respect	NOUN
fis-1238	2	27	to	to	ADP
fis-1238	2	28	the	the	DET
fis-1238	2	29	structural	structural	ADJ
fis-1238	2	30	sizes	size	NOUN
fis-1238	2	31	.	.	PUNCT
fis-1238	3	1	a	a	DET
fis-1238	3	2	micropolar	micropolar	ADJ
fis-1238	3	3	homogenization	homogenization	NOUN
fis-1238	3	4	is	be	AUX
fis-1238	3	5	,	,	PUNCT
fis-1238	3	6	therefore	therefore	ADV
fis-1238	3	7	,	,	PUNCT
fis-1238	3	8	considered	consider	VERB
fis-1238	3	9	coupling	couple	VERB
fis-1238	3	10	a	a	DET
fis-1238	3	11	cosserat	cosserat	NOUN
fis-1238	3	12	medium	medium	NOUN
fis-1238	3	13	at	at	ADP
fis-1238	3	14	the	the	DET
fis-1238	3	15	macro	macro	NOUN
fis-1238	3	16	-	-	NOUN
fis-1238	3	17	level	level	NOUN
fis-1238	3	18	with	with	ADP
fis-1238	3	19	a	a	DET
fis-1238	3	20	cauchy	cauchy	ADJ
fis-1238	3	21	medium	medium	NOUN
fis-1238	3	22	at	at	ADP
fis-1238	3	23	the	the	DET
fis-1238	3	24	micro	micro	NOUN
fis-1238	3	25	-	-	NOUN
fis-1238	3	26	level	level	NOUN
fis-1238	3	27	,	,	PUNCT
fis-1238	3	28	where	where	SCONJ
fis-1238	3	29	a	a	DET
fis-1238	3	30	repetitive	repetitive	ADJ
fis-1238	3	31	unit	unit	NOUN
fis-1238	3	32	cell	cell	NOUN
fis-1238	3	33	(	(	PUNCT
fis-1238	3	34	uc	uc	PROPN
fis-1238	3	35	)	)	PUNCT
fis-1238	3	36	is	be	AUX
fis-1238	3	37	selected	select	VERB
fis-1238	3	38	.	.	PUNCT
fis-1238	4	1	a	a	DET
fis-1238	4	2	third	third	ADJ
fis-1238	4	3	order	order	NOUN
fis-1238	4	4	polynomial	polynomial	ADJ
fis-1238	4	5	map	map	NOUN
fis-1238	4	6	is	be	AUX
fis-1238	4	7	used	use	VERB
fis-1238	4	8	to	to	PART
fis-1238	4	9	apply	apply	VERB
fis-1238	4	10	deformation	deformation	NOUN
fis-1238	4	11	modes	mode	NOUN
fis-1238	4	12	on	on	ADP
fis-1238	4	13	the	the	DET
fis-1238	4	14	repetitive	repetitive	ADJ
fis-1238	4	15	uc	uc	INTJ
fis-1238	4	16	consistent	consistent	ADJ
fis-1238	4	17	with	with	ADP
fis-1238	4	18	the	the	DET
fis-1238	4	19	macro	macro	ADJ
fis-1238	4	20	-	-	NOUN
fis-1238	4	21	level	level	ADJ
fis-1238	4	22	strain	strain	NOUN
fis-1238	4	23	components	component	NOUN
fis-1238	4	24	.	.	PUNCT
fis-1238	5	1	hence	hence	ADV
fis-1238	5	2	,	,	PUNCT
fis-1238	5	3	the	the	DET
fis-1238	5	4	perturbation	perturbation	NOUN
fis-1238	5	5	displacement	displacement	NOUN
fis-1238	5	6	field	field	NOUN
fis-1238	5	7	arising	arise	VERB
fis-1238	5	8	in	in	ADP
fis-1238	5	9	the	the	DET
fis-1238	5	10	heterogeneous	heterogeneous	ADJ
fis-1238	5	11	medium	medium	NOUN
fis-1238	5	12	is	be	AUX
fis-1238	5	13	characterized	characterize	VERB
fis-1238	5	14	.	.	PUNCT
fis-1238	6	1	thus	thus	ADV
fis-1238	6	2	,	,	PUNCT
fis-1238	6	3	a	a	DET
fis-1238	6	4	newly	newly	ADV
fis-1238	6	5	defined	define	VERB
fis-1238	6	6	micromechanical	micromechanical	ADJ
fis-1238	6	7	approach	approach	NOUN
fis-1238	6	8	,	,	PUNCT
fis-1238	6	9	based	base	VERB
fis-1238	6	10	on	on	ADP
fis-1238	6	11	the	the	DET
fis-1238	6	12	decomposition	decomposition	NOUN
fis-1238	6	13	of	of	ADP
fis-1238	6	14	the	the	DET
fis-1238	6	15	perturbation	perturbation	NOUN
fis-1238	6	16	fields	field	NOUN
fis-1238	6	17	in	in	ADP
fis-1238	6	18	terms	term	NOUN
fis-1238	6	19	of	of	ADP
fis-1238	6	20	functions	function	NOUN
fis-1238	6	21	which	which	PRON
fis-1238	6	22	depend	depend	VERB
fis-1238	6	23	on	on	ADP
fis-1238	6	24	the	the	DET
fis-1238	6	25	macroscopic	macroscopic	ADJ
fis-1238	6	26	strain	strain	NOUN
fis-1238	6	27	components	component	NOUN
fis-1238	6	28	,	,	PUNCT
fis-1238	6	29	is	be	AUX
fis-1238	6	30	adopted	adopt	VERB
fis-1238	6	31	.	.	PUNCT
fis-1238	7	1	then	then	ADV
fis-1238	7	2	,	,	PUNCT
fis-1238	7	3	to	to	PART
fis-1238	7	4	estimate	estimate	VERB
fis-1238	7	5	the	the	DET
fis-1238	7	6	effective	effective	ADJ
fis-1238	7	7	micropolar	micropolar	ADJ
fis-1238	7	8	constitutive	constitutive	ADJ
fis-1238	7	9	response	response	NOUN
fis-1238	7	10	,	,	PUNCT
fis-1238	7	11	the	the	DET
fis-1238	7	12	well	well	ADV
fis-1238	7	13	known	know	VERB
fis-1238	7	14	identification	identification	NOUN
fis-1238	7	15	procedure	procedure	NOUN
fis-1238	7	16	based	base	VERB
fis-1238	7	17	on	on	ADP
fis-1238	7	18	the	the	DET
fis-1238	7	19	hill	hill	PROPN
fis-1238	7	20	-	-	PUNCT
fis-1238	7	21	mandel	mandel	PROPN
fis-1238	7	22	macro	macro	NOUN
fis-1238	7	23	-	-	NOUN
fis-1238	7	24	homogeneity	homogeneity	NOUN
fis-1238	7	25	condition	condition	NOUN
fis-1238	7	26	is	be	AUX
fis-1238	7	27	exploited	exploit	VERB
fis-1238	7	28	.	.	PUNCT
fis-1238	8	1	numerical	numerical	ADJ
fis-1238	8	2	examples	example	NOUN
fis-1238	8	3	for	for	ADP
fis-1238	8	4	a	a	DET
fis-1238	8	5	specific	specific	ADJ
fis-1238	8	6	composite	composite	NOUN
fis-1238	8	7	with	with	ADP
fis-1238	8	8	cubic	cubic	ADJ
fis-1238	8	9	symmetry	symmetry	NOUN
fis-1238	8	10	are	be	AUX
fis-1238	8	11	shown	show	VERB
fis-1238	8	12	.	.	PUNCT
fis-1238	9	1	the	the	DET
fis-1238	9	2	influence	influence	NOUN
fis-1238	9	3	of	of	ADP
fis-1238	9	4	the	the	DET
fis-1238	9	5	selection	selection	NOUN
fis-1238	9	6	of	of	ADP
fis-1238	9	7	the	the	DET
fis-1238	9	8	uc	uc	PROPN
fis-1238	9	9	is	be	AUX
fis-1238	9	10	analyzed	analyze	VERB
fis-1238	9	11	and	and	CCONJ
fis-1238	9	12	some	some	DET
fis-1238	9	13	critical	critical	ADJ
fis-1238	9	14	issues	issue	NOUN
fis-1238	9	15	are	be	AUX
fis-1238	9	16	outlined	outline	VERB
fis-1238	9	17	.	.	PUNCT
fis-1238	10	1	keywords	keyword	NOUN
fis-1238	10	2	.	.	PUNCT
fis-1238	11	1	composites	composite	NOUN
fis-1238	11	2	;	;	PUNCT
fis-1238	11	3	homogenization	homogenization	NOUN
fis-1238	11	4	;	;	PUNCT
fis-1238	11	5	micropolar	micropolar	ADJ
fis-1238	11	6	continua	continuum	NOUN
fis-1238	11	7	;	;	PUNCT
fis-1238	11	8	periodicity	periodicity	NOUN
fis-1238	11	9	.	.	PUNCT
fis-1238	12	1	introduction	introduction	NOUN
fis-1238	12	2	he	he	PRON
fis-1238	12	3	use	use	VERB
fis-1238	12	4	of	of	ADP
fis-1238	12	5	composite	composite	ADJ
fis-1238	12	6	materials	material	NOUN
fis-1238	12	7	in	in	ADP
fis-1238	12	8	various	various	ADJ
fis-1238	12	9	fields	field	NOUN
fis-1238	12	10	of	of	ADP
fis-1238	12	11	engineering	engineering	NOUN
fis-1238	12	12	,	,	PUNCT
fis-1238	12	13	both	both	PRON
fis-1238	12	14	for	for	ADP
fis-1238	12	15	standard	standard	ADJ
fis-1238	12	16	and	and	CCONJ
fis-1238	12	17	innovative	innovative	ADJ
fis-1238	12	18	applications	application	NOUN
fis-1238	12	19	,	,	PUNCT
fis-1238	12	20	has	have	AUX
fis-1238	12	21	been	be	AUX
fis-1238	12	22	widely	widely	ADV
fis-1238	12	23	researched	research	VERB
fis-1238	12	24	.	.	PUNCT
fis-1238	13	1	a	a	DET
fis-1238	13	2	thorough	thorough	ADJ
fis-1238	13	3	understanding	understanding	NOUN
fis-1238	13	4	of	of	ADP
fis-1238	13	5	the	the	DET
fis-1238	13	6	mechanical	mechanical	ADJ
fis-1238	13	7	behavior	behavior	NOUN
fis-1238	13	8	of	of	ADP
fis-1238	13	9	existing	exist	VERB
fis-1238	13	10	materials	material	NOUN
fis-1238	13	11	is	be	AUX
fis-1238	13	12	a	a	DET
fis-1238	13	13	fundamental	fundamental	ADJ
fis-1238	13	14	step	step	NOUN
fis-1238	13	15	towards	towards	ADP
fis-1238	13	16	the	the	DET
fis-1238	13	17	design	design	NOUN
fis-1238	13	18	of	of	ADP
fis-1238	13	19	new	new	ADJ
fis-1238	13	20	composites	composite	NOUN
fis-1238	13	21	,	,	PUNCT
fis-1238	13	22	characterized	characterize	VERB
fis-1238	13	23	by	by	ADP
fis-1238	13	24	increasingly	increasingly	ADV
fis-1238	13	25	high	high	ADJ
fis-1238	13	26	performances	performance	NOUN
fis-1238	13	27	.	.	PUNCT
fis-1238	14	1	various	various	ADJ
fis-1238	14	2	approaches	approach	NOUN
fis-1238	14	3	,	,	PUNCT
fis-1238	14	4	marked	mark	VERB
fis-1238	14	5	out	out	ADP
fis-1238	14	6	by	by	ADP
fis-1238	14	7	different	different	ADJ
fis-1238	14	8	formulations	formulation	NOUN
fis-1238	14	9	and	and	CCONJ
fis-1238	14	10	modeling	model	VERB
fis-1238	14	11	the	the	DET
fis-1238	14	12	materials	material	NOUN
fis-1238	14	13	at	at	ADP
fis-1238	14	14	different	different	ADJ
fis-1238	14	15	scales	scale	NOUN
fis-1238	14	16	,	,	PUNCT
fis-1238	14	17	have	have	AUX
fis-1238	14	18	been	be	AUX
fis-1238	14	19	proposed	propose	VERB
fis-1238	14	20	to	to	PART
fis-1238	14	21	deal	deal	VERB
fis-1238	14	22	with	with	ADP
fis-1238	14	23	the	the	DET
fis-1238	14	24	constitutive	constitutive	ADJ
fis-1238	14	25	response	response	NOUN
fis-1238	14	26	of	of	ADP
fis-1238	14	27	composite	composite	ADJ
fis-1238	14	28	materials	material	NOUN
fis-1238	14	29	.	.	PUNCT
fis-1238	15	1	this	this	DET
fis-1238	15	2	study	study	NOUN
fis-1238	15	3	focuses	focus	VERB
fis-1238	15	4	on	on	ADP
fis-1238	15	5	homogenization	homogenization	NOUN
fis-1238	15	6	techniques	technique	NOUN
fis-1238	15	7	,	,	PUNCT
fis-1238	15	8	a	a	DET
fis-1238	15	9	very	very	ADV
fis-1238	15	10	effective	effective	ADJ
fis-1238	15	11	tool	tool	NOUN
fis-1238	15	12	to	to	PART
fis-1238	15	13	obtain	obtain	VERB
fis-1238	15	14	accurate	accurate	ADJ
fis-1238	15	15	results	result	NOUN
fis-1238	15	16	with	with	ADP
fis-1238	15	17	low	low	ADJ
fis-1238	15	18	computational	computational	ADJ
fis-1238	15	19	efforts	effort	NOUN
fis-1238	15	20	.	.	PUNCT
fis-1238	16	1	the	the	DET
fis-1238	16	2	actual	actual	ADJ
fis-1238	16	3	heterogeneous	heterogeneous	ADJ
fis-1238	16	4	medium	medium	NOUN
fis-1238	16	5	is	be	AUX
fis-1238	16	6	analyzed	analyze	VERB
fis-1238	16	7	at	at	ADP
fis-1238	16	8	two	two	NUM
fis-1238	16	9	different	different	ADJ
fis-1238	16	10	scales	scale	NOUN
fis-1238	16	11	:	:	PUNCT
fis-1238	16	12	the	the	DET
fis-1238	16	13	macro	macro	NOUN
fis-1238	16	14	-	-	NOUN
fis-1238	16	15	scale	scale	NOUN
fis-1238	16	16	,	,	PUNCT
fis-1238	16	17	where	where	SCONJ
fis-1238	16	18	an	an	DET
fis-1238	16	19	equivalent	equivalent	ADJ
fis-1238	16	20	homogenized	homogenized	ADJ
fis-1238	16	21	medium	medium	NOUN
fis-1238	16	22	is	be	AUX
fis-1238	16	23	considered	consider	VERB
fis-1238	16	24	,	,	PUNCT
fis-1238	16	25	characterized	characterize	VERB
fis-1238	16	26	by	by	ADP
fis-1238	16	27	overall	overall	ADJ
fis-1238	16	28	effective	effective	ADJ
fis-1238	16	29	mechanical	mechanical	ADJ
fis-1238	16	30	properties	property	NOUN
fis-1238	16	31	,	,	PUNCT
fis-1238	16	32	and	and	CCONJ
fis-1238	16	33	the	the	DET
fis-1238	16	34	micro	micro	NOUN
fis-1238	16	35	-	-	NOUN
fis-1238	16	36	scale	scale	NOUN
fis-1238	16	37	,	,	PUNCT
fis-1238	16	38	where	where	SCONJ
fis-1238	16	39	detailed	detailed	ADJ
fis-1238	16	40	information	information	NOUN
fis-1238	16	41	about	about	ADP
fis-1238	16	42	the	the	DET
fis-1238	16	43	texture	texture	NOUN
fis-1238	16	44	,	,	PUNCT
fis-1238	16	45	geometry	geometry	NOUN
fis-1238	16	46	and	and	CCONJ
fis-1238	16	47	constitutive	constitutive	ADJ
fis-1238	16	48	laws	law	NOUN
fis-1238	16	49	of	of	ADP
fis-1238	16	50	the	the	DET
fis-1238	16	51	constituents	constituent	NOUN
fis-1238	16	52	are	be	AUX
fis-1238	16	53	available	available	ADJ
fis-1238	16	54	.	.	PUNCT
fis-1238	17	1	different	different	ADJ
fis-1238	17	2	continuum	continuum	ADJ
fis-1238	17	3	models	model	NOUN
fis-1238	17	4	can	can	AUX
fis-1238	17	5	be	be	AUX
fis-1238	17	6	adopted	adopt	VERB
fis-1238	17	7	,	,	PUNCT
fis-1238	17	8	at	at	ADP
fis-1238	17	9	the	the	DET
fis-1238	17	10	two	two	NUM
fis-1238	17	11	levels	level	NOUN
fis-1238	17	12	.	.	PUNCT
fis-1238	18	1	the	the	DET
fis-1238	18	2	classical	classical	ADJ
fis-1238	18	3	cauchy	cauchy	ADJ
fis-1238	18	4	continuum	continuum	NOUN
fis-1238	18	5	provides	provide	VERB
fis-1238	18	6	an	an	DET
fis-1238	18	7	appropriate	appropriate	ADJ
fis-1238	18	8	description	description	NOUN
fis-1238	18	9	of	of	ADP
fis-1238	18	10	the	the	DET
fis-1238	18	11	actual	actual	ADJ
fis-1238	18	12	heterogeneous	heterogeneous	ADJ
fis-1238	18	13	response	response	NOUN
fis-1238	18	14	in	in	ADP
fis-1238	18	15	the	the	DET
fis-1238	18	16	case	case	NOUN
fis-1238	18	17	of	of	ADP
fis-1238	18	18	small	small	ADJ
fis-1238	18	19	microscopic	microscopic	ADJ
fis-1238	18	20	length	length	NOUN
fis-1238	18	21	compared	compare	VERB
fis-1238	18	22	to	to	ADP
fis-1238	18	23	the	the	DET
fis-1238	18	24	macro	macro	ADJ
fis-1238	18	25	-	-	NOUN
fis-1238	18	26	scale	scale	ADJ
fis-1238	18	27	structural	structural	ADJ
fis-1238	18	28	length	length	NOUN
fis-1238	19	1	[	[	X
fis-1238	19	2	1	1	NUM
fis-1238	19	3	,	,	PUNCT
fis-1238	19	4	2	2	NUM
fis-1238	19	5	,	,	PUNCT
fis-1238	19	6	3	3	NUM
fis-1238	19	7	,	,	PUNCT
fis-1238	19	8	4	4	NUM
fis-1238	19	9	]	]	PUNCT
fis-1238	19	10	.	.	PUNCT
fis-1238	20	1	on	on	ADP
fis-1238	20	2	the	the	DET
fis-1238	20	3	contrary	contrary	NOUN
fis-1238	20	4	,	,	PUNCT
fis-1238	20	5	when	when	SCONJ
fis-1238	20	6	strong	strong	ADJ
fis-1238	20	7	strain	strain	NOUN
fis-1238	20	8	and	and	CCONJ
fis-1238	20	9	stress	stress	NOUN
fis-1238	20	10	gradients	gradient	NOUN
fis-1238	20	11	at	at	ADP
fis-1238	20	12	the	the	DET
fis-1238	20	13	macro	macro	ADJ
fis-1238	20	14	-	-	NOUN
fis-1238	20	15	level	level	NOUN
fis-1238	20	16	occur	occur	NOUN
fis-1238	20	17	,	,	PUNCT
fis-1238	20	18	or	or	CCONJ
fis-1238	20	19	when	when	SCONJ
fis-1238	20	20	the	the	DET
fis-1238	20	21	microscopic	microscopic	ADJ
fis-1238	20	22	length	length	NOUN
fis-1238	20	23	of	of	ADP
fis-1238	20	24	the	the	DET
fis-1238	20	25	constituents	constituent	NOUN
fis-1238	20	26	is	be	AUX
fis-1238	20	27	comparable	comparable	ADJ
fis-1238	20	28	to	to	ADP
fis-1238	20	29	the	the	DET
fis-1238	20	30	wavelength	wavelength	NOUN
fis-1238	20	31	of	of	ADP
fis-1238	20	32	variation	variation	NOUN
fis-1238	20	33	of	of	ADP
fis-1238	20	34	the	the	DET
fis-1238	20	35	strain	strain	NOUN
fis-1238	20	36	and	and	CCONJ
fis-1238	20	37	stress	stress	NOUN
fis-1238	20	38	mean	mean	NOUN
fis-1238	20	39	fields	field	NOUN
fis-1238	20	40	at	at	ADP
fis-1238	20	41	the	the	DET
fis-1238	20	42	macro	macro	NOUN
fis-1238	20	43	-	-	NOUN
fis-1238	20	44	level	level	NOUN
fis-1238	20	45	,	,	PUNCT
fis-1238	20	46	some	some	DET
fis-1238	20	47	intrinsic	intrinsic	ADJ
fis-1238	20	48	limits	limit	NOUN
fis-1238	20	49	emerge	emerge	VERB
fis-1238	20	50	.	.	PUNCT
fis-1238	21	1	this	this	PRON
fis-1238	21	2	is	be	AUX
fis-1238	21	3	due	due	ADJ
fis-1238	21	4	to	to	ADP
fis-1238	21	5	the	the	DET
fis-1238	21	6	fact	fact	NOUN
fis-1238	21	7	that	that	SCONJ
fis-1238	21	8	the	the	DET
fis-1238	21	9	cauchy	cauchy	PROPN
fis-1238	21	10	theory	theory	NOUN
fis-1238	21	11	does	do	AUX
fis-1238	21	12	not	not	PART
fis-1238	21	13	account	account	VERB
fis-1238	21	14	for	for	ADP
fis-1238	21	15	length	length	NOUN
fis-1238	21	16	t	t	PROPN
fis-1238	21	17	m.l	m.l	PROPN
fis-1238	21	18	.	.	PROPN
fis-1238	21	19	de	de	PROPN
fis-1238	21	20	bellis	bellis	PROPN
fis-1238	21	21	et	et	PROPN
fis-1238	21	22	alii	alii	PROPN
fis-1238	21	23	,	,	PUNCT
fis-1238	21	24	frattura	frattura	PROPN
fis-1238	21	25	ed	ed	PROPN
fis-1238	21	26	integrità	integrità	PROPN
fis-1238	21	27	strutturale	strutturale	PROPN
fis-1238	21	28	,	,	PUNCT
fis-1238	21	29	29	29	NUM
fis-1238	21	30	(	(	PUNCT
fis-1238	21	31	2014	2014	NUM
fis-1238	21	32	)	)	PUNCT
fis-1238	21	33	37	37	NUM
fis-1238	21	34	-	-	SYM
fis-1238	21	35	48	48	NUM
fis-1238	21	36	;	;	PUNCT
fis-1238	21	37	doi	doi	NOUN
fis-1238	21	38	:	:	PUNCT
fis-1238	21	39	10.3221	10.3221	NUM
fis-1238	21	40	/	/	SYM
fis-1238	21	41	igf	igf	PROPN
fis-1238	21	42	-	-	PUNCT
fis-1238	21	43	esis.29.05	esis.29.05	NOUN
fis-1238	21	44	38	38	NUM
fis-1238	21	45	scales	scale	NOUN
fis-1238	21	46	.	.	PUNCT
fis-1238	22	1	by	by	ADP
fis-1238	22	2	adopting	adopt	VERB
fis-1238	22	3	generalized	generalized	ADJ
fis-1238	22	4	continua	continuum	NOUN
fis-1238	22	5	this	this	DET
fis-1238	22	6	limit	limit	NOUN
fis-1238	22	7	is	be	AUX
fis-1238	22	8	overcome	overcome	VERB
fis-1238	22	9	.	.	PUNCT
fis-1238	23	1	many	many	ADJ
fis-1238	23	2	authors	author	NOUN
fis-1238	23	3	have	have	AUX
fis-1238	23	4	focused	focus	VERB
fis-1238	23	5	on	on	ADP
fis-1238	23	6	coupling	couple	VERB
fis-1238	23	7	different	different	ADJ
fis-1238	23	8	continuum	continuum	ADJ
fis-1238	23	9	models	model	NOUN
fis-1238	23	10	at	at	ADP
fis-1238	23	11	the	the	DET
fis-1238	23	12	two	two	NUM
fis-1238	23	13	scales	scale	NOUN
fis-1238	23	14	.	.	PUNCT
fis-1238	24	1	in	in	ADP
fis-1238	24	2	most	most	ADJ
fis-1238	24	3	cases	case	NOUN
fis-1238	24	4	,	,	PUNCT
fis-1238	24	5	at	at	ADP
fis-1238	24	6	the	the	DET
fis-1238	24	7	microscopic	microscopic	ADJ
fis-1238	24	8	level	level	NOUN
fis-1238	24	9	,	,	PUNCT
fis-1238	24	10	the	the	DET
fis-1238	24	11	classical	classical	ADJ
fis-1238	24	12	cauchy	cauchy	ADJ
fis-1238	24	13	continuum	continuum	NOUN
fis-1238	24	14	is	be	AUX
fis-1238	24	15	adopted	adopt	VERB
fis-1238	24	16	,	,	PUNCT
fis-1238	24	17	especially	especially	ADV
fis-1238	24	18	because	because	SCONJ
fis-1238	24	19	nonlinear	nonlinear	ADJ
fis-1238	24	20	constitutive	constitutive	ADJ
fis-1238	24	21	relationships	relationship	NOUN
fis-1238	24	22	are	be	AUX
fis-1238	24	23	well	well	ADV
fis-1238	24	24	-	-	PUNCT
fis-1238	24	25	established	establish	VERB
fis-1238	24	26	in	in	ADP
fis-1238	24	27	this	this	DET
fis-1238	24	28	framework	framework	NOUN
fis-1238	24	29	.	.	PUNCT
fis-1238	25	1	among	among	ADP
fis-1238	25	2	various	various	ADJ
fis-1238	25	3	generalized	generalize	VERB
fis-1238	25	4	continua	continuum	NOUN
fis-1238	25	5	(	(	PUNCT
fis-1238	25	6	second	second	ADJ
fis-1238	25	7	-	-	PUNCT
fis-1238	25	8	gradient	gradient	NOUN
fis-1238	25	9	,	,	PUNCT
fis-1238	25	10	couple	couple	NOUN
fis-1238	25	11	stress	stress	NOUN
fis-1238	25	12	,	,	PUNCT
fis-1238	25	13	micropolar	micropolar	ADJ
fis-1238	25	14	or	or	CCONJ
fis-1238	25	15	multifield	multifield	NOUN
fis-1238	25	16	)	)	PUNCT
fis-1238	25	17	,	,	PUNCT
fis-1238	25	18	a	a	DET
fis-1238	25	19	micropolar	micropolar	ADJ
fis-1238	25	20	cosserat	cosserat	NOUN
fis-1238	25	21	continuum	continuum	ADJ
fis-1238	25	22	at	at	ADP
fis-1238	25	23	the	the	DET
fis-1238	25	24	macro	macro	NOUN
fis-1238	25	25	-	-	NOUN
fis-1238	25	26	level	level	NOUN
fis-1238	25	27	and	and	CCONJ
fis-1238	25	28	a	a	DET
fis-1238	25	29	cauchy	cauchy	NOUN
fis-1238	25	30	continuum	continuum	NOUN
fis-1238	25	31	at	at	ADP
fis-1238	25	32	the	the	DET
fis-1238	25	33	micro	micro	NOUN
fis-1238	25	34	-	-	NOUN
fis-1238	25	35	level	level	NOUN
fis-1238	25	36	are	be	AUX
fis-1238	25	37	used	use	VERB
fis-1238	25	38	here	here	ADV
fis-1238	25	39	to	to	PART
fis-1238	25	40	study	study	VERB
fis-1238	25	41	the	the	DET
fis-1238	25	42	homogenized	homogenized	ADJ
fis-1238	25	43	response	response	NOUN
fis-1238	25	44	of	of	ADP
fis-1238	25	45	periodic	periodic	ADJ
fis-1238	25	46	composite	composite	ADJ
fis-1238	25	47	materials	material	NOUN
fis-1238	25	48	.	.	PUNCT
fis-1238	26	1	the	the	DET
fis-1238	26	2	computational	computational	ADJ
fis-1238	26	3	homogenization	homogenization	NOUN
fis-1238	26	4	technique	technique	NOUN
fis-1238	26	5	adopted	adopt	VERB
fis-1238	26	6	effectively	effectively	ADV
fis-1238	26	7	predicts	predict	VERB
fis-1238	26	8	the	the	DET
fis-1238	26	9	macroscopic	macroscopic	ADJ
fis-1238	26	10	behavior	behavior	NOUN
fis-1238	26	11	of	of	ADP
fis-1238	26	12	composite	composite	ADJ
fis-1238	26	13	materials	material	NOUN
fis-1238	26	14	[	[	X
fis-1238	26	15	5	5	NUM
fis-1238	26	16	,	,	PUNCT
fis-1238	26	17	6	6	NUM
fis-1238	26	18	]	]	PUNCT
fis-1238	26	19	.	.	PUNCT
fis-1238	27	1	since	since	SCONJ
fis-1238	27	2	composite	composite	ADJ
fis-1238	27	3	materials	material	NOUN
fis-1238	27	4	,	,	PUNCT
fis-1238	27	5	characterized	characterize	VERB
fis-1238	27	6	by	by	ADP
fis-1238	27	7	regular	regular	ADJ
fis-1238	27	8	textures	texture	NOUN
fis-1238	27	9	are	be	AUX
fis-1238	27	10	analyzed	analyze	VERB
fis-1238	27	11	,	,	PUNCT
fis-1238	27	12	a	a	DET
fis-1238	27	13	unit	unit	NOUN
fis-1238	27	14	cell	cell	NOUN
fis-1238	27	15	(	(	PUNCT
fis-1238	27	16	uc	uc	PROPN
fis-1238	27	17	)	)	PUNCT
fis-1238	27	18	is	be	AUX
fis-1238	27	19	selected	select	VERB
fis-1238	27	20	at	at	ADP
fis-1238	27	21	the	the	DET
fis-1238	27	22	micro	micro	NOUN
fis-1238	27	23	-	-	NOUN
fis-1238	27	24	level	level	NOUN
fis-1238	27	25	.	.	PUNCT
fis-1238	28	1	consistently	consistently	ADV
fis-1238	28	2	with	with	ADP
fis-1238	28	3	the	the	DET
fis-1238	28	4	strain	strain	NOUN
fis-1238	28	5	-	-	PUNCT
fis-1238	28	6	driven	drive	VERB
fis-1238	28	7	approach	approach	NOUN
fis-1238	28	8	,	,	PUNCT
fis-1238	28	9	the	the	DET
fis-1238	28	10	two	two	NUM
fis-1238	28	11	levels	level	NOUN
fis-1238	28	12	are	be	AUX
fis-1238	28	13	linked	link	VERB
fis-1238	28	14	through	through	ADP
fis-1238	28	15	a	a	DET
fis-1238	28	16	kinematic	kinematic	ADJ
fis-1238	28	17	map	map	NOUN
fis-1238	28	18	based	base	VERB
fis-1238	28	19	on	on	ADP
fis-1238	28	20	a	a	DET
fis-1238	28	21	third	third	ADJ
fis-1238	28	22	order	order	NOUN
fis-1238	28	23	polynomial	polynomial	ADJ
fis-1238	28	24	expansion	expansion	NOUN
fis-1238	28	25	,	,	PUNCT
fis-1238	28	26	previously	previously	ADV
fis-1238	28	27	derived	derive	VERB
fis-1238	28	28	by	by	ADP
fis-1238	28	29	the	the	DET
fis-1238	28	30	authors	author	NOUN
fis-1238	28	31	in	in	ADP
fis-1238	28	32	[	[	X
fis-1238	28	33	7	7	NUM
fis-1238	28	34	]	]	PUNCT
fis-1238	28	35	,	,	PUNCT
fis-1238	28	36	from	from	ADP
fis-1238	28	37	an	an	DET
fis-1238	28	38	original	original	ADJ
fis-1238	28	39	idea	idea	NOUN
fis-1238	28	40	developed	develop	VERB
fis-1238	28	41	in	in	ADP
fis-1238	28	42	[	[	X
fis-1238	28	43	1	1	NUM
fis-1238	28	44	]	]	PUNCT
fis-1238	28	45	.	.	PUNCT
fis-1238	29	1	the	the	DET
fis-1238	29	2	displacement	displacement	ADJ
fis-1238	29	3	field	field	NOUN
fis-1238	29	4	at	at	ADP
fis-1238	29	5	the	the	DET
fis-1238	29	6	micro	micro	NOUN
fis-1238	29	7	-	-	NOUN
fis-1238	29	8	level	level	NOUN
fis-1238	29	9	is	be	AUX
fis-1238	29	10	represented	represent	VERB
fis-1238	29	11	as	as	ADP
fis-1238	29	12	the	the	DET
fis-1238	29	13	superposition	superposition	NOUN
fis-1238	29	14	of	of	ADP
fis-1238	29	15	the	the	DET
fis-1238	29	16	kinematic	kinematic	ADJ
fis-1238	29	17	map	map	NOUN
fis-1238	29	18	and	and	CCONJ
fis-1238	29	19	an	an	DET
fis-1238	29	20	unknown	unknown	ADJ
fis-1238	29	21	perturbation	perturbation	NOUN
fis-1238	29	22	field	field	NOUN
fis-1238	29	23	,	,	PUNCT
fis-1238	29	24	due	due	ADP
fis-1238	29	25	to	to	ADP
fis-1238	29	26	the	the	DET
fis-1238	29	27	heterogeneous	heterogeneous	ADJ
fis-1238	29	28	nature	nature	NOUN
fis-1238	29	29	of	of	ADP
fis-1238	29	30	the	the	DET
fis-1238	29	31	material	material	NOUN
fis-1238	29	32	.	.	PUNCT
fis-1238	30	1	for	for	ADP
fis-1238	30	2	classical	classical	ADJ
fis-1238	30	3	first	first	ADJ
fis-1238	30	4	order	order	NOUN
fis-1238	30	5	computational	computational	ADJ
fis-1238	30	6	homogenization	homogenization	NOUN
fis-1238	30	7	the	the	DET
fis-1238	30	8	perturbation	perturbation	NOUN
fis-1238	30	9	fields	field	NOUN
fis-1238	30	10	are	be	AUX
fis-1238	30	11	periodic	periodic	ADJ
fis-1238	30	12	[	[	X
fis-1238	30	13	8	8	NUM
fis-1238	30	14	]	]	PUNCT
fis-1238	30	15	,	,	PUNCT
fis-1238	30	16	but	but	CCONJ
fis-1238	30	17	this	this	PRON
fis-1238	30	18	is	be	AUX
fis-1238	30	19	not	not	PART
fis-1238	30	20	true	true	ADJ
fis-1238	30	21	when	when	SCONJ
fis-1238	30	22	higher	high	ADJ
fis-1238	30	23	order	order	NOUN
fis-1238	30	24	polynomial	polynomial	ADJ
fis-1238	30	25	terms	term	NOUN
fis-1238	30	26	are	be	AUX
fis-1238	30	27	considered	consider	VERB
fis-1238	30	28	,	,	PUNCT
fis-1238	30	29	as	as	SCONJ
fis-1238	30	30	underlined	underline	VERB
fis-1238	30	31	in	in	ADP
fis-1238	30	32	[	[	X
fis-1238	30	33	9,10	9,10	NUM
fis-1238	30	34	]	]	X
fis-1238	30	35	.	.	PUNCT
fis-1238	31	1	in	in	ADP
fis-1238	31	2	this	this	DET
fis-1238	31	3	study	study	NOUN
fis-1238	31	4	,	,	PUNCT
fis-1238	31	5	the	the	DET
fis-1238	31	6	problem	problem	NOUN
fis-1238	31	7	of	of	ADP
fis-1238	31	8	determining	determine	VERB
fis-1238	31	9	the	the	DET
fis-1238	31	10	displacement	displacement	ADJ
fis-1238	31	11	perturbation	perturbation	NOUN
fis-1238	31	12	fields	field	NOUN
fis-1238	31	13	,	,	PUNCT
fis-1238	31	14	with	with	ADP
fis-1238	31	15	particular	particular	ADJ
fis-1238	31	16	reference	reference	NOUN
fis-1238	31	17	to	to	ADP
fis-1238	31	18	its	its	PRON
fis-1238	31	19	influence	influence	NOUN
fis-1238	31	20	on	on	ADP
fis-1238	31	21	the	the	DET
fis-1238	31	22	structural	structural	ADJ
fis-1238	31	23	response	response	NOUN
fis-1238	31	24	evaluation	evaluation	NOUN
fis-1238	31	25	,	,	PUNCT
fis-1238	31	26	is	be	AUX
fis-1238	31	27	investigated	investigate	VERB
fis-1238	31	28	.	.	PUNCT
fis-1238	32	1	to	to	ADP
fis-1238	32	2	this	this	DET
fis-1238	32	3	end	end	NOUN
fis-1238	32	4	,	,	PUNCT
fis-1238	32	5	the	the	DET
fis-1238	32	6	three	three	NUM
fis-1238	32	7	following	follow	VERB
fis-1238	32	8	techniques	technique	NOUN
fis-1238	32	9	are	be	AUX
fis-1238	32	10	adopted	adopt	VERB
fis-1238	32	11	.	.	PUNCT
fis-1238	33	1	the	the	DET
fis-1238	33	2	first	first	ADJ
fis-1238	33	3	is	be	AUX
fis-1238	33	4	based	base	VERB
fis-1238	33	5	on	on	ADP
fis-1238	33	6	the	the	DET
fis-1238	33	7	solution	solution	NOUN
fis-1238	33	8	of	of	ADP
fis-1238	33	9	the	the	DET
fis-1238	33	10	boundary	boundary	ADJ
fis-1238	33	11	value	value	NOUN
fis-1238	33	12	problem	problem	NOUN
fis-1238	33	13	(	(	PUNCT
fis-1238	33	14	bvp	bvp	PROPN
fis-1238	33	15	)	)	PUNCT
fis-1238	33	16	by	by	ADP
fis-1238	33	17	applying	apply	VERB
fis-1238	33	18	periodic	periodic	ADJ
fis-1238	33	19	boundary	boundary	ADJ
fis-1238	33	20	conditions	condition	NOUN
fis-1238	33	21	on	on	ADP
fis-1238	33	22	the	the	DET
fis-1238	33	23	uc	uc	PROPN
fis-1238	33	24	.	.	PUNCT
fis-1238	34	1	the	the	DET
fis-1238	34	2	second	second	ADJ
fis-1238	34	3	is	be	AUX
fis-1238	34	4	the	the	DET
fis-1238	34	5	3	3	NUM
fis-1238	34	6	steps	step	NOUN
fis-1238	34	7	homogenization	homogenization	NOUN
fis-1238	34	8	,	,	PUNCT
fis-1238	34	9	presented	present	VERB
fis-1238	34	10	by	by	ADP
fis-1238	34	11	the	the	DET
fis-1238	34	12	authors	author	NOUN
fis-1238	34	13	in	in	ADP
fis-1238	34	14	[	[	X
fis-1238	34	15	11	11	NUM
fis-1238	34	16	]	]	PUNCT
fis-1238	34	17	,	,	PUNCT
fis-1238	34	18	and	and	CCONJ
fis-1238	34	19	based	base	VERB
fis-1238	34	20	on	on	ADP
fis-1238	34	21	the	the	DET
fis-1238	34	22	decomposition	decomposition	NOUN
fis-1238	34	23	of	of	ADP
fis-1238	34	24	the	the	DET
fis-1238	34	25	perturbation	perturbation	NOUN
fis-1238	34	26	fields	field	NOUN
fis-1238	34	27	in	in	ADP
fis-1238	34	28	terms	term	NOUN
fis-1238	34	29	of	of	ADP
fis-1238	34	30	functions	function	NOUN
fis-1238	34	31	which	which	PRON
fis-1238	34	32	depend	depend	VERB
fis-1238	34	33	on	on	ADP
fis-1238	34	34	the	the	DET
fis-1238	34	35	macroscopic	macroscopic	ADJ
fis-1238	34	36	strain	strain	NOUN
fis-1238	34	37	components	component	NOUN
fis-1238	34	38	.	.	PUNCT
fis-1238	35	1	finally	finally	ADV
fis-1238	35	2	the	the	DET
fis-1238	35	3	bvp	bvp	PROPN
fis-1238	35	4	is	be	AUX
fis-1238	35	5	solved	solve	VERB
fis-1238	35	6	by	by	ADP
fis-1238	35	7	applying	apply	VERB
fis-1238	35	8	special	special	ADJ
fis-1238	35	9	boundary	boundary	ADJ
fis-1238	35	10	conditions	condition	NOUN
fis-1238	35	11	on	on	ADP
fis-1238	35	12	the	the	DET
fis-1238	35	13	uc	uc	PROPN
fis-1238	35	14	,	,	PUNCT
fis-1238	35	15	as	as	SCONJ
fis-1238	35	16	derived	derive	VERB
fis-1238	35	17	in	in	ADP
fis-1238	35	18	[	[	X
fis-1238	35	19	7	7	NUM
fis-1238	35	20	]	]	PUNCT
fis-1238	35	21	.	.	PUNCT
fis-1238	36	1	furthermore	furthermore	ADV
fis-1238	36	2	,	,	PUNCT
fis-1238	36	3	the	the	DET
fis-1238	36	4	identification	identification	NOUN
fis-1238	36	5	of	of	ADP
fis-1238	36	6	the	the	DET
fis-1238	36	7	homogenized	homogenize	VERB
fis-1238	36	8	linear	linear	ADJ
fis-1238	36	9	elastic	elastic	ADJ
fis-1238	36	10	2d	2d	NUM
fis-1238	36	11	cosserat	cosserat	NOUN
fis-1238	36	12	constitutive	constitutive	ADJ
fis-1238	36	13	parameters	parameter	NOUN
fis-1238	36	14	is	be	AUX
fis-1238	36	15	performed	perform	VERB
fis-1238	36	16	,	,	PUNCT
fis-1238	36	17	by	by	ADP
fis-1238	36	18	using	use	VERB
fis-1238	36	19	the	the	DET
fis-1238	36	20	hill	hill	NOUN
fis-1238	36	21	-	-	PUNCT
fis-1238	36	22	mandel	mandel	NOUN
fis-1238	36	23	technique	technique	NOUN
fis-1238	36	24	,	,	PUNCT
fis-1238	36	25	based	base	VERB
fis-1238	36	26	on	on	ADP
fis-1238	36	27	the	the	DET
fis-1238	36	28	generalized	generalize	VERB
fis-1238	36	29	macro	macro	ADJ
fis-1238	36	30	-	-	NOUN
fis-1238	36	31	homogeneity	homogeneity	NOUN
fis-1238	36	32	condition	condition	NOUN
fis-1238	36	33	presented	present	VERB
fis-1238	36	34	in	in	ADP
fis-1238	36	35	[	[	X
fis-1238	36	36	11	11	NUM
fis-1238	36	37	]	]	PUNCT
fis-1238	36	38	.	.	PUNCT
fis-1238	37	1	as	as	SCONJ
fis-1238	37	2	known	know	VERB
fis-1238	37	3	,	,	PUNCT
fis-1238	37	4	this	this	DET
fis-1238	37	5	technique	technique	NOUN
fis-1238	37	6	has	have	VERB
fis-1238	37	7	inherent	inherent	ADJ
fis-1238	37	8	limitations	limitation	NOUN
fis-1238	37	9	,	,	PUNCT
fis-1238	37	10	leading	lead	VERB
fis-1238	37	11	to	to	ADP
fis-1238	37	12	physically	physically	ADV
fis-1238	37	13	inconsistent	inconsistent	ADJ
fis-1238	37	14	results	result	NOUN
fis-1238	37	15	[	[	X
fis-1238	37	16	9	9	NUM
fis-1238	37	17	,	,	PUNCT
fis-1238	37	18	12	12	NUM
fis-1238	37	19	,	,	PUNCT
fis-1238	37	20	13	13	NUM
fis-1238	37	21	]	]	PUNCT
fis-1238	37	22	.	.	PUNCT
fis-1238	38	1	for	for	ADP
fis-1238	38	2	example	example	NOUN
fis-1238	38	3	,	,	PUNCT
fis-1238	38	4	higher	high	ADJ
fis-1238	38	5	order	order	NOUN
fis-1238	38	6	constitutive	constitutive	ADJ
fis-1238	38	7	components	component	NOUN
fis-1238	38	8	are	be	AUX
fis-1238	38	9	identified	identify	VERB
fis-1238	38	10	,	,	PUNCT
fis-1238	38	11	also	also	ADV
fis-1238	38	12	when	when	SCONJ
fis-1238	38	13	a	a	DET
fis-1238	38	14	homogeneous	homogeneous	ADJ
fis-1238	38	15	elastic	elastic	ADJ
fis-1238	38	16	material	material	NOUN
fis-1238	38	17	at	at	ADP
fis-1238	38	18	the	the	DET
fis-1238	38	19	micro	micro	NOUN
fis-1238	38	20	-	-	NOUN
fis-1238	38	21	level	level	NOUN
fis-1238	38	22	is	be	AUX
fis-1238	38	23	considered	consider	VERB
fis-1238	38	24	.	.	PUNCT
fis-1238	39	1	despite	despite	SCONJ
fis-1238	39	2	the	the	DET
fis-1238	39	3	drawbacks	drawback	NOUN
fis-1238	39	4	,	,	PUNCT
fis-1238	39	5	this	this	DET
fis-1238	39	6	technique	technique	NOUN
fis-1238	39	7	has	have	AUX
fis-1238	39	8	been	be	AUX
fis-1238	39	9	widely	widely	ADV
fis-1238	39	10	used	use	VERB
fis-1238	39	11	,	,	PUNCT
fis-1238	39	12	at	at	ADP
fis-1238	39	13	least	least	ADJ
fis-1238	39	14	when	when	SCONJ
fis-1238	39	15	asymptotic	asymptotic	ADJ
fis-1238	39	16	techniques	technique	NOUN
fis-1238	39	17	[	[	X
fis-1238	39	18	14	14	NUM
fis-1238	39	19	]	]	PUNCT
fis-1238	39	20	can	can	AUX
fis-1238	39	21	not	not	PART
fis-1238	39	22	be	be	AUX
fis-1238	39	23	applied	apply	VERB
fis-1238	39	24	,	,	PUNCT
fis-1238	39	25	as	as	ADP
fis-1238	39	26	in	in	ADP
fis-1238	39	27	the	the	DET
fis-1238	39	28	case	case	NOUN
fis-1238	39	29	of	of	ADP
fis-1238	39	30	coupling	couple	VERB
fis-1238	39	31	micropolar	micropolar	ADJ
fis-1238	39	32	and	and	CCONJ
fis-1238	39	33	classical	classical	ADJ
fis-1238	39	34	continua	continuum	NOUN
fis-1238	39	35	.	.	PUNCT
fis-1238	40	1	the	the	DET
fis-1238	40	2	influence	influence	NOUN
fis-1238	40	3	of	of	ADP
fis-1238	40	4	the	the	DET
fis-1238	40	5	selection	selection	NOUN
fis-1238	40	6	of	of	ADP
fis-1238	40	7	the	the	DET
fis-1238	40	8	uc	uc	PROPN
fis-1238	40	9	is	be	AUX
fis-1238	40	10	analyzed	analyze	VERB
fis-1238	40	11	and	and	CCONJ
fis-1238	40	12	some	some	DET
fis-1238	40	13	key	key	ADJ
fis-1238	40	14	issues	issue	NOUN
fis-1238	40	15	are	be	AUX
fis-1238	40	16	outlined	outline	VERB
fis-1238	40	17	.	.	PUNCT
fis-1238	41	1	by	by	ADP
fis-1238	41	2	considering	consider	VERB
fis-1238	41	3	two	two	NUM
fis-1238	41	4	different	different	ADJ
fis-1238	41	5	ucs	ucs	NOUN
fis-1238	41	6	,	,	PUNCT
fis-1238	41	7	selected	select	VERB
fis-1238	41	8	for	for	ADP
fis-1238	41	9	representing	represent	VERB
fis-1238	41	10	the	the	DET
fis-1238	41	11	composite	composite	ADJ
fis-1238	41	12	texture	texture	NOUN
fis-1238	41	13	,	,	PUNCT
fis-1238	41	14	it	it	PRON
fis-1238	41	15	emerges	emerge	VERB
fis-1238	41	16	that	that	SCONJ
fis-1238	41	17	the	the	DET
fis-1238	41	18	constitutive	constitutive	ADJ
fis-1238	41	19	response	response	NOUN
fis-1238	41	20	of	of	ADP
fis-1238	41	21	the	the	DET
fis-1238	41	22	homogenized	homogenized	ADJ
fis-1238	41	23	medium	medium	NOUN
fis-1238	41	24	depends	depend	VERB
fis-1238	41	25	on	on	ADP
fis-1238	41	26	the	the	DET
fis-1238	41	27	choice	choice	NOUN
fis-1238	41	28	of	of	ADP
fis-1238	41	29	the	the	DET
fis-1238	41	30	cell	cell	NOUN
fis-1238	41	31	.	.	PUNCT
fis-1238	42	1	indeed	indeed	ADV
fis-1238	42	2	,	,	PUNCT
fis-1238	42	3	while	while	SCONJ
fis-1238	42	4	the	the	DET
fis-1238	42	5	elastic	elastic	ADJ
fis-1238	42	6	cauchy	cauchy	ADJ
fis-1238	42	7	coefficients	coefficient	NOUN
fis-1238	42	8	are	be	AUX
fis-1238	42	9	irrespective	irrespective	ADJ
fis-1238	42	10	of	of	ADP
fis-1238	42	11	the	the	DET
fis-1238	42	12	uc	uc	PROPN
fis-1238	42	13	selected	select	VERB
fis-1238	42	14	,	,	PUNCT
fis-1238	42	15	this	this	PRON
fis-1238	42	16	does	do	AUX
fis-1238	42	17	not	not	PART
fis-1238	42	18	occur	occur	VERB
fis-1238	42	19	for	for	ADP
fis-1238	42	20	the	the	DET
fis-1238	42	21	bending	bending	NOUN
fis-1238	42	22	and	and	CCONJ
fis-1238	42	23	skew	skew	ADJ
fis-1238	42	24	-	-	PUNCT
fis-1238	42	25	symmetric	symmetric	ADJ
fis-1238	42	26	shear	shear	NOUN
fis-1238	42	27	cosserat	cosserat	NOUN
fis-1238	42	28	coefficients	coefficient	NOUN
fis-1238	42	29	,	,	PUNCT
fis-1238	42	30	at	at	ADP
fis-1238	42	31	least	least	ADJ
fis-1238	42	32	with	with	ADP
fis-1238	42	33	regard	regard	NOUN
fis-1238	42	34	to	to	ADP
fis-1238	42	35	computational	computational	ADJ
fis-1238	42	36	homogenization	homogenization	NOUN
fis-1238	42	37	.	.	PUNCT
fis-1238	43	1	this	this	DET
fis-1238	43	2	fact	fact	NOUN
fis-1238	43	3	is	be	AUX
fis-1238	43	4	also	also	ADV
fis-1238	43	5	confirmed	confirm	VERB
fis-1238	43	6	by	by	ADP
fis-1238	43	7	the	the	DET
fis-1238	43	8	results	result	NOUN
fis-1238	43	9	obtained	obtain	VERB
fis-1238	43	10	from	from	ADP
fis-1238	43	11	the	the	DET
fis-1238	43	12	structural	structural	ADJ
fis-1238	43	13	applications	application	NOUN
fis-1238	43	14	.	.	PUNCT
fis-1238	44	1	two	two	NUM
fis-1238	44	2	numerical	numerical	ADJ
fis-1238	44	3	tests	test	NOUN
fis-1238	44	4	are	be	AUX
fis-1238	44	5	presented	present	VERB
fis-1238	44	6	to	to	PART
fis-1238	44	7	highlight	highlight	VERB
fis-1238	44	8	the	the	DET
fis-1238	44	9	main	main	ADJ
fis-1238	44	10	aspects	aspect	NOUN
fis-1238	44	11	of	of	ADP
fis-1238	44	12	the	the	DET
fis-1238	44	13	presented	present	VERB
fis-1238	44	14	micropolar	micropolar	ADJ
fis-1238	44	15	computational	computational	ADJ
fis-1238	44	16	homogenization	homogenization	NOUN
fis-1238	44	17	technique	technique	NOUN
fis-1238	44	18	and	and	CCONJ
fis-1238	44	19	to	to	PART
fis-1238	44	20	emphasize	emphasize	VERB
fis-1238	44	21	the	the	DET
fis-1238	44	22	differences	difference	NOUN
fis-1238	44	23	obtained	obtain	VERB
fis-1238	44	24	using	use	VERB
fis-1238	44	25	the	the	DET
fis-1238	44	26	three	three	NUM
fis-1238	44	27	procedures	procedure	NOUN
fis-1238	44	28	to	to	PART
fis-1238	44	29	describe	describe	VERB
fis-1238	44	30	the	the	DET
fis-1238	44	31	perturbation	perturbation	NOUN
fis-1238	44	32	fields	field	NOUN
fis-1238	44	33	.	.	PUNCT
fis-1238	45	1	micropolar	micropolar	ADJ
fis-1238	45	2	homogenization	homogenization	NOUN
fis-1238	45	3	he	he	PRON
fis-1238	45	4	computational	computational	ADJ
fis-1238	45	5	homogenization	homogenization	NOUN
fis-1238	45	6	technique	technique	NOUN
fis-1238	45	7	used	use	VERB
fis-1238	45	8	here	here	ADV
fis-1238	45	9	adopts	adopt	VERB
fis-1238	45	10	a	a	DET
fis-1238	45	11	2d	2d	NUM
fis-1238	45	12	micropolar	micropolar	ADJ
fis-1238	45	13	continuum	continuum	NOUN
fis-1238	45	14	at	at	ADP
fis-1238	45	15	the	the	DET
fis-1238	45	16	macro	macro	NOUN
fis-1238	45	17	-	-	NOUN
fis-1238	45	18	level	level	NOUN
fis-1238	45	19	and	and	CCONJ
fis-1238	45	20	a	a	DET
fis-1238	45	21	classical	classical	ADJ
fis-1238	45	22	2d	2d	NUM
fis-1238	45	23	cauchy	cauchy	NOUN
fis-1238	45	24	continuum	continuum	NOUN
fis-1238	45	25	at	at	ADP
fis-1238	45	26	the	the	DET
fis-1238	45	27	micro	micro	NOUN
fis-1238	45	28	-	-	NOUN
fis-1238	45	29	level	level	NOUN
fis-1238	45	30	.	.	PUNCT
fis-1238	46	1	at	at	ADP
fis-1238	46	2	typical	typical	ADJ
fis-1238	46	3	macro	macro	ADJ
fis-1238	46	4	-	-	NOUN
fis-1238	46	5	level	level	ADJ
fis-1238	46	6	material	material	NOUN
fis-1238	46	7	point	point	NOUN
fis-1238	46	8	,	,	PUNCT
fis-1238	46	9	the	the	DET
fis-1238	46	10	displacement	displacement	ADJ
fis-1238	46	11	vector	vector	NOUN
fis-1238	46	12	1	1	NUM
fis-1238	46	13	2=	2=	NUM
fis-1238	46	14	{	{	PUNCT
fis-1238	46	15	,	,	PUNCT
fis-1238	46	16	,	,	PUNCT
fis-1238	46	17	}	}	PUNCT
fis-1238	46	18	tu	tu	PROPN
fis-1238	46	19	u	u	NOUN
fis-1238	46	20	u	u	NOUN
fis-1238	46	21	is	be	AUX
fis-1238	46	22	defined	define	VERB
fis-1238	46	23	,	,	PUNCT
fis-1238	46	24	where	where	SCONJ
fis-1238	46	25	1u	1u	NUM
fis-1238	46	26	and	and	CCONJ
fis-1238	46	27	2u	2u	PROPN
fis-1238	46	28	are	be	AUX
fis-1238	46	29	the	the	DET
fis-1238	46	30	translational	translational	ADJ
fis-1238	46	31	degrees	degree	NOUN
fis-1238	46	32	of	of	ADP
fis-1238	46	33	freedom	freedom	NOUN
fis-1238	46	34	and	and	CCONJ
fis-1238	46	35			PROPN
fis-1238	46	36	is	be	AUX
fis-1238	46	37	the	the	DET
fis-1238	46	38	rotational	rotational	ADJ
fis-1238	46	39	degree	degree	NOUN
fis-1238	46	40	.	.	PUNCT
fis-1238	47	1	the	the	DET
fis-1238	47	2	micropolar	micropolar	ADJ
fis-1238	47	3	strain	strain	NOUN
fis-1238	47	4	vector	vector	NOUN
fis-1238	47	5	is	be	AUX
fis-1238	47	6	characterized	characterize	VERB
fis-1238	47	7	by	by	ADP
fis-1238	47	8	six	six	NUM
fis-1238	47	9	components	component	NOUN
fis-1238	47	10	as	as	SCONJ
fis-1238	47	11	follows	follow	VERB
fis-1238	47	12	:	:	PUNCT
fis-1238	48	1	1	1	NUM
fis-1238	48	2	2	2	NUM
fis-1238	48	3	12	12	NUM
fis-1238	48	4	1	1	NUM
fis-1238	48	5	2	2	NUM
fis-1238	48	6	=	=	SYM
fis-1238	48	7	e	e	X
fis-1238	48	8	e	e	X
fis-1238	48	9	k	k	PROPN
fis-1238	48	10	k	k	PROPN
fis-1238	48	11			NOUN
fis-1238	49	1			NUM
fis-1238	49	2			NUM
fis-1238	49	3			NUM
fis-1238	49	4			NUM
fis-1238	49	5			NUM
fis-1238	49	6			NUM
fis-1238	49	7			NUM
fis-1238	49	8			NUM
fis-1238	49	9			NUM
fis-1238	49	10			NOUN
fis-1238	49	11			NUM
fis-1238	49	12			NUM
fis-1238	49	13			NUM
fis-1238	49	14			NUM
fis-1238	49	15			NUM
fis-1238	49	16			NUM
fis-1238	49	17			PROPN
fis-1238	49	18			PROPN
fis-1238	49	19			PROPN
fis-1238	49	20	e	e	X
fis-1238	49	21	(	(	PUNCT
fis-1238	49	22	1	1	NUM
fis-1238	49	23	)	)	PUNCT
fis-1238	49	24	where	where	SCONJ
fis-1238	49	25	1e	1e	NOUN
fis-1238	49	26	,	,	PUNCT
fis-1238	49	27	2e	2e	PROPN
fis-1238	49	28	and	and	CCONJ
fis-1238	49	29	12	12	NUM
fis-1238	49	30	are	be	AUX
fis-1238	49	31	the	the	DET
fis-1238	49	32	axial	axial	ADJ
fis-1238	49	33	and	and	CCONJ
fis-1238	49	34	symmetric	symmetric	ADJ
fis-1238	49	35	shear	shear	NOUN
fis-1238	49	36	strains	strain	NOUN
fis-1238	49	37	,	,	PUNCT
fis-1238	49	38	1k	1k	NUM
fis-1238	49	39	and	and	CCONJ
fis-1238	49	40	2k	2k	NOUN
fis-1238	49	41	are	be	AUX
fis-1238	49	42	the	the	DET
fis-1238	49	43	curvature	curvature	NOUN
fis-1238	49	44	components	component	NOUN
fis-1238	49	45	,	,	PUNCT
fis-1238	49	46	while	while	SCONJ
fis-1238	49	47			NOUN
fis-1238	49	48	is	be	AUX
fis-1238	49	49	the	the	DET
fis-1238	49	50	skew	skew	ADJ
fis-1238	49	51	-	-	PUNCT
fis-1238	49	52	symmetric	symmetric	ADJ
fis-1238	49	53	shear	shear	NOUN
fis-1238	49	54	component	component	NOUN
fis-1238	49	55	.	.	PUNCT
fis-1238	50	1	the	the	DET
fis-1238	50	2	compatibility	compatibility	NOUN
fis-1238	50	3	equations	equation	NOUN
fis-1238	50	4	can	can	AUX
fis-1238	50	5	be	be	AUX
fis-1238	50	6	written	write	VERB
fis-1238	50	7	in	in	ADP
fis-1238	50	8	compact	compact	ADJ
fis-1238	50	9	form	form	NOUN
fis-1238	50	10	as	as	ADP
fis-1238	50	11	:	:	PUNCT
fis-1238	50	12	t	t	PROPN
fis-1238	50	13	m.l	m.l	PROPN
fis-1238	50	14	.	.	PROPN
fis-1238	50	15	de	de	PROPN
fis-1238	50	16	bellis	bellis	PROPN
fis-1238	50	17	et	et	PROPN
fis-1238	50	18	alii	alii	PROPN
fis-1238	50	19	,	,	PUNCT
fis-1238	50	20	frattura	frattura	PROPN
fis-1238	50	21	ed	ed	PROPN
fis-1238	50	22	integrità	integrità	PROPN
fis-1238	50	23	strutturale	strutturale	PROPN
fis-1238	50	24	,	,	PUNCT
fis-1238	50	25	29	29	NUM
fis-1238	50	26	(	(	PUNCT
fis-1238	50	27	2014	2014	NUM
fis-1238	50	28	)	)	PUNCT
fis-1238	50	29	37	37	NUM
fis-1238	50	30	-	-	SYM
fis-1238	50	31	48	48	NUM
fis-1238	50	32	;	;	PUNCT
fis-1238	50	33	doi	doi	NOUN
fis-1238	50	34	:	:	PUNCT
fis-1238	50	35	10.3221	10.3221	NUM
fis-1238	50	36	/	/	SYM
fis-1238	50	37	igf	igf	NOUN
fis-1238	50	38	-	-	PUNCT
fis-1238	50	39	esis.29.05	esis.29.05	NOUN
fis-1238	50	40	39	39	NUM
fis-1238	50	41	=	=	NOUN
fis-1238	50	42	e	e	X
fis-1238	50	43	lu	lu	X
fis-1238	50	44	(	(	PUNCT
fis-1238	50	45	2	2	NUM
fis-1238	50	46	)	)	PUNCT
fis-1238	50	47	where	where	SCONJ
fis-1238	50	48	the	the	DET
fis-1238	50	49	compatibility	compatibility	NOUN
fis-1238	50	50	operator	operator	NOUN
fis-1238	50	51	is	be	AUX
fis-1238	50	52	defined	define	VERB
fis-1238	50	53	as	as	ADP
fis-1238	50	54	1	1	NUM
fis-1238	50	55	2	2	NUM
fis-1238	50	56	2	2	NUM
fis-1238	50	57	1	1	NUM
fis-1238	50	58	2	2	NUM
fis-1238	50	59	1	1	NUM
fis-1238	50	60	1	1	NUM
fis-1238	50	61	2	2	NUM
fis-1238	50	62	0	0	NUM
fis-1238	50	63	0	0	NUM
fis-1238	50	64	0	0	NUM
fis-1238	50	65	0	0	NUM
fis-1238	50	66	0	0	NUM
fis-1238	51	1	=	=	SYM
fis-1238	51	2	.	.	PUNCT
fis-1238	52	1	2	2	NUM
fis-1238	52	2	0	0	NUM
fis-1238	52	3	0	0	NUM
fis-1238	52	4	0	0	SYM
fis-1238	52	5	0	0	NUM
fis-1238	52	6			NUM
fis-1238	52	7			NOUN
fis-1238	52	8			NOUN
fis-1238	52	9			X
fis-1238	52	10			ADJ
fis-1238	52	11			NOUN
fis-1238	52	12			X
fis-1238	52	13			NOUN
fis-1238	52	14			X
fis-1238	52	15			ADJ
fis-1238	52	16			NOUN
fis-1238	52	17			X
fis-1238	52	18			ADJ
fis-1238	52	19			PROPN
fis-1238	52	20			PROPN
fis-1238	52	21			VERB
fis-1238	52	22			PROPN
fis-1238	52	23			PROPN
fis-1238	52	24			PROPN
fis-1238	52	25			ADJ
fis-1238	52	26			PROPN
fis-1238	52	27			PROPN
fis-1238	52	28			PROPN
fis-1238	52	29			ADJ
fis-1238	52	30			VERB
fis-1238	52	31			PROPN
fis-1238	52	32			PROPN
fis-1238	52	33			X
fis-1238	52	34			NOUN
fis-1238	52	35			NOUN
fis-1238	52	36			VERB
fis-1238	52	37			PROPN
fis-1238	52	38			NOUN
fis-1238	52	39			X
fis-1238	52	40			NOUN
fis-1238	52	41			ADP
fis-1238	52	42			ADJ
fis-1238	52	43			PROPN
fis-1238	52	44	x	x	PUNCT
fis-1238	53	1	x	x	PUNCT
fis-1238	53	2	x	x	PUNCT
fis-1238	53	3	x	x	PUNCT
fis-1238	53	4	x	x	PUNCT
fis-1238	53	5	x	x	PUNCT
fis-1238	53	6	x	x	PUNCT
fis-1238	53	7	x	x	X
fis-1238	53	8	l	l	NOUN
fis-1238	53	9	(	(	PUNCT
fis-1238	53	10	3	3	NUM
fis-1238	53	11	)	)	PUNCT
fis-1238	53	12	according	accord	VERB
fis-1238	53	13	to	to	ADP
fis-1238	53	14	the	the	DET
fis-1238	53	15	strain	strain	NOUN
fis-1238	53	16	driven	drive	VERB
fis-1238	53	17	approach	approach	NOUN
fis-1238	53	18	,	,	PUNCT
fis-1238	53	19	the	the	DET
fis-1238	53	20	macroscopic	macroscopic	ADJ
fis-1238	53	21	strain	strain	NOUN
fis-1238	53	22	components	component	NOUN
fis-1238	53	23	,	,	PUNCT
fis-1238	53	24	evaluated	evaluate	VERB
fis-1238	53	25	at	at	ADP
fis-1238	53	26	,	,	PUNCT
fis-1238	53	27	x	x	PRON
fis-1238	53	28	are	be	AUX
fis-1238	53	29	used	use	VERB
fis-1238	53	30	as	as	ADP
fis-1238	53	31	input	input	NOUN
fis-1238	53	32	variables	variable	NOUN
fis-1238	53	33	for	for	ADP
fis-1238	53	34	the	the	DET
fis-1238	53	35	microscopic	microscopic	ADJ
fis-1238	53	36	level	level	NOUN
fis-1238	53	37	.	.	PUNCT
fis-1238	54	1	the	the	DET
fis-1238	54	2	kinematic	kinematic	ADJ
fis-1238	54	3	map	map	NOUN
fis-1238	54	4	,	,	PUNCT
fis-1238	54	5	expressed	express	VERB
fis-1238	54	6	in	in	ADP
fis-1238	54	7	function	function	NOUN
fis-1238	54	8	of	of	ADP
fis-1238	54	9	the	the	DET
fis-1238	54	10	vector	vector	NOUN
fis-1238	54	11	,	,	PUNCT
fis-1238	54	12	e	e	PROPN
fis-1238	54	13	is	be	AUX
fis-1238	54	14	imposed	impose	VERB
fis-1238	54	15	on	on	ADP
fis-1238	54	16	the	the	DET
fis-1238	54	17	uc	uc	PROPN
fis-1238	54	18	,	,	PUNCT
fis-1238	54	19	properly	properly	ADV
fis-1238	54	20	defining	define	VERB
fis-1238	54	21	a	a	DET
fis-1238	54	22	bvp	bvp	NOUN
fis-1238	54	23	.	.	PUNCT
fis-1238	55	1	at	at	ADP
fis-1238	55	2	the	the	DET
fis-1238	55	3	micro	micro	NOUN
fis-1238	55	4	-	-	NOUN
fis-1238	55	5	level	level	NOUN
fis-1238	55	6	a	a	DET
fis-1238	55	7	repetitive	repetitive	ADJ
fis-1238	55	8	rectangular	rectangular	ADJ
fis-1238	55	9	uc	uc	NOUN
fis-1238	55	10	is	be	AUX
fis-1238	55	11	selected	select	VERB
fis-1238	55	12	,	,	PUNCT
fis-1238	55	13	whose	whose	DET
fis-1238	55	14	size	size	NOUN
fis-1238	55	15	is	be	AUX
fis-1238	55	16	1	1	NUM
fis-1238	55	17	22	22	NUM
fis-1238	55	18	2a	2a	NUM
fis-1238	55	19	a	a	PROPN
fis-1238	55	20	and	and	CCONJ
fis-1238	55	21	its	its	PRON
fis-1238	55	22	centre	centre	NOUN
fis-1238	55	23	is	be	AUX
fis-1238	55	24	located	locate	VERB
fis-1238	55	25	at	at	ADP
fis-1238	55	26	the	the	DET
fis-1238	55	27	macroscopic	macroscopic	ADJ
fis-1238	55	28	point	point	NOUN
fis-1238	55	29	,	,	PUNCT
fis-1238	55	30	x	x	PUNCT
fis-1238	55	31	characterized	characterize	VERB
fis-1238	55	32	by	by	ADP
fis-1238	55	33	the	the	DET
fis-1238	55	34	displacement	displacement	ADJ
fis-1238	55	35	field	field	NOUN
fis-1238	55	36	1	1	NUM
fis-1238	55	37	2=	2=	NOUN
fis-1238	55	38	{	{	PUNCT
fis-1238	55	39	,	,	PUNCT
fis-1238	55	40	}	}	PUNCT
fis-1238	55	41	tu	tu	X
fis-1238	55	42	uu	uu	INTJ
fis-1238	55	43	,	,	PUNCT
fis-1238	55	44	defined	define	VERB
fis-1238	55	45	at	at	ADP
fis-1238	55	46	each	each	DET
fis-1238	55	47	point	point	NOUN
fis-1238	55	48			PROPN
fis-1238	55	49	1	1	PROPN
fis-1238	55	50	2=	2=	NUM
fis-1238	55	51	,	,	PUNCT
fis-1238	55	52	t	t	X
fis-1238	55	53	x	x	SYM
fis-1238	55	54	xx	xx	NUM
fis-1238	55	55	of	of	ADP
fis-1238	55	56	the	the	DET
fis-1238	55	57	uc	uc	PROPN
fis-1238	55	58	domain	domain	NOUN
fis-1238	55	59			X
fis-1238	55	60	.	.	PUNCT
fis-1238	56	1	the	the	DET
fis-1238	56	2	displacement	displacement	ADJ
fis-1238	56	3	field	field	NOUN
fis-1238	56	4	,	,	PUNCT
fis-1238	56	5	resulting	result	VERB
fis-1238	56	6	in	in	ADP
fis-1238	56	7	the	the	DET
fis-1238	56	8	uc	uc	NOUN
fis-1238	56	9	after	after	ADP
fis-1238	56	10	solving	solve	VERB
fis-1238	56	11	the	the	DET
fis-1238	56	12	bvp	bvp	NOUN
fis-1238	56	13	,	,	PUNCT
fis-1238	56	14	can	can	AUX
fis-1238	56	15	be	be	AUX
fis-1238	56	16	represented	represent	VERB
fis-1238	56	17	as	as	ADP
fis-1238	56	18	the	the	DET
fis-1238	56	19	superposition	superposition	NOUN
fis-1238	56	20	of	of	ADP
fis-1238	56	21	the	the	DET
fis-1238	56	22	assigned	assign	VERB
fis-1238	56	23	field	field	NOUN
fis-1238	56	24			NOUN
fis-1238	56	25	u	u	NUM
fis-1238	57	1	x	x	X
fis-1238	57	2	,	,	PUNCT
fis-1238	57	3	x	x	X
fis-1238	57	4	and	and	CCONJ
fis-1238	57	5	a	a	DET
fis-1238	57	6	perturbation	perturbation	NOUN
fis-1238	57	7	field	field	NOUN
fis-1238	57	8			NOUN
fis-1238	57	9			NOUN
fis-1238	57	10			PUNCT
fis-1238	57	11	:	:	PUNCT
fis-1238	57	12	u	u	NOUN
fis-1238	57	13	x	x	NOUN
fis-1238	57	14	,	,	PUNCT
fis-1238	57	15	x	x	SYM
fis-1238	57	16			NOUN
fis-1238	57	17			SYM
fis-1238	57	18			NOUN
fis-1238	58	1			PROPN
fis-1238	58	2			ADJ
fis-1238	58	3			PROPN
fis-1238	58	4	=	=	PROPN
fis-1238	58	5			PROPN
fis-1238	58	6	u	u	NOUN
fis-1238	58	7	x	x	X
fis-1238	58	8	,	,	PUNCT
fis-1238	58	9	x	x	PUNCT
fis-1238	58	10	u	u	NOUN
fis-1238	58	11	x	x	PROPN
fis-1238	58	12	,	,	PUNCT
fis-1238	58	13	x	x	PUNCT
fis-1238	58	14	u	u	NOUN
fis-1238	58	15	x	x	NOUN
fis-1238	58	16	,	,	PUNCT
fis-1238	58	17	x	x	X
fis-1238	58	18	(	(	PUNCT
fis-1238	58	19	5	5	NUM
fis-1238	58	20	)	)	PUNCT
fis-1238	58	21	the	the	DET
fis-1238	58	22	strain	strain	NOUN
fis-1238	58	23	vector	vector	NOUN
fis-1238	58	24	at	at	ADP
fis-1238	58	25	the	the	DET
fis-1238	58	26	microscopic	microscopic	ADJ
fis-1238	58	27	level	level	NOUN
fis-1238	58	28	is	be	AUX
fis-1238	58	29	derived	derive	VERB
fis-1238	58	30	by	by	ADP
fis-1238	58	31	applying	apply	VERB
fis-1238	58	32	the	the	DET
fis-1238	58	33	kinematic	kinematic	ADJ
fis-1238	58	34	operator	operator	NOUN
fis-1238	58	35	defined	define	VERB
fis-1238	58	36	for	for	ADP
fis-1238	58	37	the	the	DET
fis-1238	58	38	2d	2d	NUM
fis-1238	58	39	cauchy	cauchy	NOUN
fis-1238	58	40	problem	problem	NOUN
fis-1238	58	41	and	and	CCONJ
fis-1238	58	42	,	,	PUNCT
fis-1238	58	43	in	in	ADP
fis-1238	58	44	expanded	expand	VERB
fis-1238	58	45	form	form	NOUN
fis-1238	58	46	,	,	PUNCT
fis-1238	58	47	it	it	PRON
fis-1238	58	48	results	result	VERB
fis-1238	58	49	as	as	ADP
fis-1238	58	50	:	:	PUNCT
fis-1238	58	51			NOUN
fis-1238	58	52			PROPN
fis-1238	58	53	1	1	NUM
fis-1238	58	54	,	,	PUNCT
fis-1238	58	55	1	1	NUM
fis-1238	58	56	2	2	NUM
fis-1238	58	57	,	,	PUNCT
fis-1238	58	58	2	2	NUM
fis-1238	58	59	12	12	NUM
fis-1238	58	60	,	,	PUNCT
fis-1238	58	61	2	2	NUM
fis-1238	58	62	,	,	PUNCT
fis-1238	58	63	1	1	NUM
fis-1238	58	64	0	0	NUM
fis-1238	58	65	=	=	NOUN
fis-1238	58	66	,	,	PUNCT
fis-1238	58	67	with	with	ADP
fis-1238	58	68	and	and	CCONJ
fis-1238	58	69	=	=	SYM
fis-1238	58	70	0	0	NUM
fis-1238	58	71			PROPN
fis-1238	58	72			PROPN
fis-1238	58	73			NUM
fis-1238	58	74			PROPN
fis-1238	58	75			SYM
fis-1238	58	76			NUM
fis-1238	58	77			NUM
fis-1238	58	78			PRON
fis-1238	58	79			NOUN
fis-1238	58	80			PROPN
fis-1238	58	81			PUNCT
fis-1238	59	1			PROPN
fis-1238	59	2			NOUN
fis-1238	60	1			NOUN
fis-1238	60	2			NUM
fis-1238	60	3			NUM
fis-1238	60	4			NOUN
fis-1238	60	5			X
fis-1238	60	6			PUNCT
fis-1238	61	1			PROPN
fis-1238	61	2			VERB
fis-1238	61	3			PROPN
fis-1238	61	4	ε	ε	PROPN
fis-1238	61	5	lu	lu	NOUN
fis-1238	61	6	ε	ε	PROPN
fis-1238	61	7	l	l	NOUN
fis-1238	61	8	x	x	X
fis-1238	61	9	(	(	PUNCT
fis-1238	61	10	6	6	NUM
fis-1238	61	11	)	)	PUNCT
fis-1238	61	12	with	with	ADP
fis-1238	61	13	,	,	PUNCT
fis-1238	61	14	i	i	ADJ
fis-1238	61	15	indicating	indicate	VERB
fis-1238	61	16	the	the	DET
fis-1238	61	17	partial	partial	ADJ
fis-1238	61	18	derivative	derivative	NOUN
fis-1238	61	19	with	with	ADP
fis-1238	61	20	respect	respect	NOUN
fis-1238	61	21	to	to	ADP
fis-1238	61	22	.ix	.ix	PUNCT
fis-1238	61	23	according	accord	VERB
fis-1238	61	24	to	to	ADP
fis-1238	61	25	eq	eq	PROPN
fis-1238	61	26	.	.	PUNCT
fis-1238	62	1	(	(	PUNCT
fis-1238	62	2	5	5	NUM
fis-1238	62	3	)	)	PUNCT
fis-1238	62	4	,	,	PUNCT
fis-1238	62	5	the	the	DET
fis-1238	62	6	strain	strain	NOUN
fis-1238	62	7	can	can	AUX
fis-1238	62	8	be	be	AUX
fis-1238	62	9	written	write	VERB
fis-1238	62	10	as	as	ADP
fis-1238	62	11	:	:	PUNCT
fis-1238	62	12			NOUN
fis-1238	62	13			PROPN
fis-1238	62	14			NOUN
fis-1238	62	15			PUNCT
fis-1238	62	16			PROPN
fis-1238	62	17			PROPN
fis-1238	62	18	,	,	PUNCT
fis-1238	62	19	=	=	PRON
fis-1238	62	20	,	,	PUNCT
fis-1238	62	21	,	,	PUNCT
fis-1238	62	22			PROPN
fis-1238	62	23	ε	ε	NOUN
fis-1238	62	24	x	x	SYM
fis-1238	62	25	x	x	PUNCT
fis-1238	62	26	ε	ε	NOUN
fis-1238	62	27	x	x	PUNCT
fis-1238	62	28	x	x	X
fis-1238	62	29	ε	ε	PROPN
fis-1238	62	30	x	x	X
fis-1238	62	31	x	x	X
fis-1238	62	32	(	(	PUNCT
fis-1238	62	33	7	7	X
fis-1238	62	34	)	)	PUNCT
fis-1238	62	35	the	the	DET
fis-1238	62	36	third	third	ADJ
fis-1238	62	37	order	order	NOUN
fis-1238	62	38	polynomial	polynomial	ADJ
fis-1238	62	39	map	map	NOUN
fis-1238	62	40	,	,	PUNCT
fis-1238	62	41	proposed	propose	VERB
fis-1238	62	42	in	in	ADP
fis-1238	62	43	[	[	X
fis-1238	62	44	5	5	NUM
fis-1238	62	45	,	,	PUNCT
fis-1238	62	46	6	6	NUM
fis-1238	62	47	]	]	PUNCT
fis-1238	62	48	and	and	CCONJ
fis-1238	62	49	modified	modify	VERB
fis-1238	62	50	in	in	ADP
fis-1238	62	51	[	[	X
fis-1238	62	52	7	7	NUM
fis-1238	62	53	]	]	PUNCT
fis-1238	62	54	,	,	PUNCT
fis-1238	62	55	is	be	AUX
fis-1238	62	56	used	use	VERB
fis-1238	62	57	.	.	PUNCT
fis-1238	63	1	different	different	ADJ
fis-1238	63	2	material	material	NOUN
fis-1238	63	3	symmetries	symmetry	NOUN
fis-1238	63	4	can	can	AUX
fis-1238	63	5	be	be	AUX
fis-1238	63	6	considered	consider	VERB
fis-1238	63	7	ranging	range	VERB
fis-1238	63	8	between	between	ADP
fis-1238	63	9	the	the	DET
fis-1238	63	10	isotropic	isotropic	NOUN
fis-1238	63	11	and	and	CCONJ
fis-1238	63	12	the	the	DET
fis-1238	63	13	orthotropic	orthotropic	ADJ
fis-1238	63	14	case	case	NOUN
fis-1238	63	15	.	.	PUNCT
fis-1238	64	1	in	in	ADP
fis-1238	64	2	the	the	DET
fis-1238	64	3	considered	consider	VERB
fis-1238	64	4	orthotropic	orthotropic	ADJ
fis-1238	64	5	case	case	NOUN
fis-1238	64	6	,	,	PUNCT
fis-1238	64	7	the	the	DET
fis-1238	64	8	kinematic	kinematic	ADJ
fis-1238	64	9	map	map	NOUN
fis-1238	64	10	can	can	AUX
fis-1238	64	11	be	be	AUX
fis-1238	64	12	written	write	VERB
fis-1238	64	13	in	in	ADP
fis-1238	64	14	compact	compact	ADJ
fis-1238	64	15	form	form	NOUN
fis-1238	64	16	as	as	ADP
fis-1238	64	17	:	:	PUNCT
fis-1238	64	18			NOUN
fis-1238	64	19			PROPN
fis-1238	64	20			NOUN
fis-1238	64	21			PUNCT
fis-1238	64	22			PROPN
fis-1238	64	23			PROPN
fis-1238	64	24	,	,	PUNCT
fis-1238	64	25	=	=	NOUN
fis-1238	64	26	u	u	NOUN
fis-1238	64	27	x	x	X
fis-1238	64	28	x	x	X
fis-1238	64	29	a	a	PRON
fis-1238	64	30	x	x	X
fis-1238	64	31	e	e	NOUN
fis-1238	64	32	x	x	X
fis-1238	64	33	(	(	PUNCT
fis-1238	64	34	8)	8)	NUM
fis-1238	64	35	with	with	ADP
fis-1238	64	36			NOUN
fis-1238	64	37			PUNCT
fis-1238	64	38			NOUN
fis-1238	64	39			SYM
fis-1238	64	40			NOUN
fis-1238	64	41			SYM
fis-1238	64	42			NOUN
fis-1238	64	43			PUNCT
fis-1238	64	44			NOUN
fis-1238	64	45			NOUN
fis-1238	64	46	2	2	NUM
fis-1238	64	47	2	2	NUM
fis-1238	64	48	2	2	NUM
fis-1238	64	49	3	3	NUM
fis-1238	64	50	1	1	NUM
fis-1238	64	51	2	2	NUM
fis-1238	64	52	1	1	NUM
fis-1238	64	53	1	1	NUM
fis-1238	64	54	2	2	NUM
fis-1238	64	55	2	2	NUM
fis-1238	64	56	2	2	NUM
fis-1238	64	57	1	1	NUM
fis-1238	64	58	12	12	NUM
fis-1238	64	59	1	1	NUM
fis-1238	64	60	3	3	NUM
fis-1238	64	61	1	1	NUM
fis-1238	64	62	1	1	NUM
fis-1238	64	63	2	2	NUM
fis-1238	64	64	1	1	NUM
fis-1238	64	65	2	2	NUM
fis-1238	64	66	2	2	NUM
fis-1238	64	67	2	2	NUM
fis-1238	64	68	2	2	NUM
fis-1238	64	69	3	3	NUM
fis-1238	64	70	2	2	NUM
fis-1238	64	71	1	1	NUM
fis-1238	64	72	1	1	NUM
fis-1238	64	73	1	1	NUM
fis-1238	64	74	12	12	NUM
fis-1238	64	75	2	2	NUM
fis-1238	64	76	2	2	NUM
fis-1238	64	77	1	1	NUM
fis-1238	64	78	2	2	NUM
fis-1238	64	79	3	3	NUM
fis-1238	64	80	2	2	NUM
fis-1238	64	81	1	1	NUM
fis-1238	64	82	2	2	NUM
fis-1238	64	83	2	2	NUM
fis-1238	64	84	1	1	NUM
fis-1238	64	85	1	1	NUM
fis-1238	64	86	1	1	NUM
fis-1238	64	87	0	0	NUM
fis-1238	64	88	3	3	NUM
fis-1238	64	89	2	2	NUM
fis-1238	64	90	2	2	NUM
fis-1238	64	91	1	1	NUM
fis-1238	64	92	1	1	NUM
fis-1238	64	93	0	0	NUM
fis-1238	64	94	3	3	NUM
fis-1238	64	95	2	2	NUM
fis-1238	64	96	2	2	NUM
fis-1238	64	97	x	x	SYM
fis-1238	64	98	x	x	PUNCT
fis-1238	64	99	x	x	PUNCT
fis-1238	64	100	x	x	PUNCT
fis-1238	64	101	x	x	PUNCT
fis-1238	64	102	x	x	X
fis-1238	64	103	s	s	PROPN
fis-1238	64	104	b	b	NOUN
fis-1238	64	105	x	x	SYM
fis-1238	64	106	x	x	X
fis-1238	64	107	c	c	NOUN
fis-1238	64	108	x	x	PUNCT
fis-1238	64	109	x	x	PUNCT
fis-1238	64	110	x	x	PUNCT
fis-1238	64	111	x	x	PUNCT
fis-1238	64	112	x	x	PUNCT
fis-1238	64	113	x	x	PUNCT
fis-1238	64	114	x	x	X
fis-1238	64	115	s	s	PROPN
fis-1238	64	116	b	b	NOUN
fis-1238	64	117	x	x	SYM
fis-1238	64	118	x	x	X
fis-1238	64	119	c	c	NOUN
fis-1238	64	120	x	x	SYM
fis-1238	64	121			X
fis-1238	64	122			X
fis-1238	64	123			PROPN
fis-1238	64	124			X
fis-1238	64	125			X
fis-1238	64	126			ADJ
fis-1238	64	127			X
fis-1238	64	128			X
fis-1238	64	129			PROPN
fis-1238	64	130			PROPN
fis-1238	64	131			PROPN
fis-1238	64	132			VERB
fis-1238	64	133			PROPN
fis-1238	64	134			NOUN
fis-1238	64	135			NUM
fis-1238	64	136			NOUN
fis-1238	64	137			NOUN
fis-1238	64	138			NOUN
fis-1238	64	139			NOUN
fis-1238	64	140			PROPN
fis-1238	64	141			PROPN
fis-1238	64	142			VERB
fis-1238	64	143			PROPN
fis-1238	64	144			PROPN
fis-1238	64	145	a	a	DET
fis-1238	64	146	x	x	X
fis-1238	64	147	(	(	PUNCT
fis-1238	64	148	9	9	NUM
fis-1238	64	149	)	)	PUNCT
fis-1238	64	150	m.l	m.l	PROPN
fis-1238	64	151	.	.	PUNCT
fis-1238	64	152	de	de	PROPN
fis-1238	64	153	bellis	bellis	PROPN
fis-1238	64	154	et	et	PROPN
fis-1238	64	155	alii	alii	PROPN
fis-1238	64	156	,	,	PUNCT
fis-1238	64	157	frattura	frattura	PROPN
fis-1238	64	158	ed	ed	PROPN
fis-1238	64	159	integrità	integrità	PROPN
fis-1238	64	160	strutturale	strutturale	PROPN
fis-1238	64	161	,	,	PUNCT
fis-1238	64	162	29	29	NUM
fis-1238	64	163	(	(	PUNCT
fis-1238	64	164	2014	2014	NUM
fis-1238	64	165	)	)	PUNCT
fis-1238	64	166	37	37	NUM
fis-1238	64	167	-	-	SYM
fis-1238	64	168	48	48	NUM
fis-1238	64	169	;	;	PUNCT
fis-1238	64	170	doi	doi	NOUN
fis-1238	64	171	:	:	PUNCT
fis-1238	64	172	10.3221	10.3221	NUM
fis-1238	64	173	/	/	SYM
fis-1238	64	174	igf	igf	NOUN
fis-1238	64	175	-	-	PUNCT
fis-1238	64	176	esis.29.05	esis.29.05	NOUN
fis-1238	64	177	40	40	NUM
fis-1238	64	178	where	where	SCONJ
fis-1238	64	179	1	1	NUM
fis-1238	64	180	2	2	NUM
fis-1238	64	181	1=	1=	NUM
fis-1238	64	182	/e	/e	PUNCT
fis-1238	65	1	e	e	PROPN
fis-1238	65	2	,	,	PUNCT
fis-1238	65	3	1e	1e	PROPN
fis-1238	65	4	and	and	CCONJ
fis-1238	65	5	2e	2e	NUM
fis-1238	65	6	are	be	AUX
fis-1238	65	7	the	the	DET
fis-1238	65	8	values	value	NOUN
fis-1238	65	9	of	of	ADP
fis-1238	65	10	young	young	ADJ
fis-1238	65	11	’s	’s	PART
fis-1238	65	12	modulus	modulus	NOUN
fis-1238	65	13	of	of	ADP
fis-1238	65	14	the	the	DET
fis-1238	65	15	equivalent	equivalent	ADJ
fis-1238	65	16	homogenized	homogenize	VERB
fis-1238	65	17	orthotropic	orthotropic	ADJ
fis-1238	65	18	material	material	NOUN
fis-1238	65	19	,	,	PUNCT
fis-1238	65	20	12	12	NUM
fis-1238	65	21	the	the	DET
fis-1238	65	22	poisson	poisson	PROPN
fis-1238	65	23	ratio	ratio	NOUN
fis-1238	65	24	and	and	CCONJ
fis-1238	65	25	:	:	PUNCT
fis-1238	66	1			NOUN
fis-1238	66	2	2	2	ADJ
fis-1238	66	3	1	1	NUM
fis-1238	66	4	1	1	NUM
fis-1238	66	5	12	12	NUM
fis-1238	66	6	1	1	NUM
fis-1238	66	7	2	2	NUM
fis-1238	66	8	2	2	NUM
fis-1238	66	9	2	2	NUM
fis-1238	66	10	2	2	NUM
fis-1238	66	11	2	2	NUM
fis-1238	66	12	1	1	NUM
fis-1238	66	13	12	12	NUM
fis-1238	66	14	2	2	NUM
fis-1238	66	15	1	1	NUM
fis-1238	66	16	2	2	NUM
fis-1238	66	17	=	=	SYM
fis-1238	66	18	1	1	NUM
fis-1238	66	19	,	,	PUNCT
fis-1238	66	20	=	=	NOUN
fis-1238	66	21	2	2	NUM
fis-1238	66	22	,	,	PUNCT
fis-1238	66	23	=	=	PRON
fis-1238	66	24	,	,	PUNCT
fis-1238	66	25	=	=	SYM
fis-1238	66	26	2	2	NUM
fis-1238	66	27	,	,	PUNCT
fis-1238	66	28	b	b	PROPN
fis-1238	66	29	c	c	PROPN
fis-1238	66	30	b	b	PROPN
fis-1238	66	31	b	b	PROPN
fis-1238	66	32	c	c	PROPN
fis-1238	66	33	b	b	PROPN
fis-1238	66	34			X
fis-1238	66	35			ADP
fis-1238	66	36			PROPN
fis-1238	66	37			ADJ
fis-1238	66	38			ADJ
fis-1238	66	39			PROPN
fis-1238	66	40			ADP
fis-1238	66	41			ADJ
fis-1238	66	42			ADJ
fis-1238	66	43			PROPN
fis-1238	66	44			VERB
fis-1238	66	45			NOUN
fis-1238	66	46	(	(	PUNCT
fis-1238	66	47	10	10	NUM
fis-1238	66	48	)	)	SYM
fis-1238	66	49	2	2	NUM
fis-1238	66	50	2	2	NUM
fis-1238	66	51	12=	12=	NUM
fis-1238	66	52	/e	/e	PUNCT
fis-1238	67	1	g	g	NOUN
fis-1238	67	2	,	,	PUNCT
fis-1238	67	3	12	12	NUM
fis-1238	67	4	g	g	NOUN
fis-1238	67	5	being	be	AUX
fis-1238	67	6	the	the	DET
fis-1238	67	7	homogenized	homogenized	ADJ
fis-1238	67	8	shear	shear	NOUN
fis-1238	67	9	modulus	modulus	NOUN
fis-1238	67	10	,	,	PUNCT
fis-1238	67	11	while	while	SCONJ
fis-1238	67	12	2	2	NUM
fis-1238	67	13	1=	1=	NUM
fis-1238	67	14	/a	/a	PUNCT
fis-1238	67	15	a	a	VERB
fis-1238	67	16	the	the	DET
fis-1238	67	17	ratio	ratio	NOUN
fis-1238	67	18	between	between	ADP
fis-1238	67	19	the	the	DET
fis-1238	67	20	dimensions	dimension	NOUN
fis-1238	67	21	of	of	ADP
fis-1238	67	22	the	the	DET
fis-1238	67	23	uc	uc	NOUN
fis-1238	67	24	and	and	CCONJ
fis-1238	67	25			NOUN
fis-1238	67	26			SYM
fis-1238	67	27			NOUN
fis-1238	67	28			NOUN
fis-1238	67	29			PROPN
fis-1238	67	30			PROPN
fis-1238	67	31	2	2	NUM
fis-1238	67	32	2	2	NUM
fis-1238	67	33	2	2	NUM
fis-1238	67	34	2	2	NUM
fis-1238	67	35	4	4	NUM
fis-1238	67	36	1	1	NUM
fis-1238	67	37	1	1	NUM
fis-1238	67	38	1	1	NUM
fis-1238	67	39	12	12	NUM
fis-1238	67	40	2	2	NUM
fis-1238	67	41	10	10	NUM
fis-1238	67	42	1	1	NUM
fis-1238	67	43	=	=	PUNCT
fis-1238	67	44	.	.	PUNCT
fis-1238	68	1	2	2	NUM
fis-1238	68	2	1	1	NUM
fis-1238	68	3	s	s	VERB
fis-1238	68	4	a	a	DET
fis-1238	68	5			X
fis-1238	68	6			ADJ
fis-1238	68	7			ADP
fis-1238	68	8			PROPN
fis-1238	68	9			ADJ
fis-1238	68	10			ADP
fis-1238	68	11			ADP
fis-1238	68	12			PROPN
fis-1238	68	13			PROPN
fis-1238	68	14			X
fis-1238	68	15			PROPN
fis-1238	68	16			PART
fis-1238	68	17			PROPN
fis-1238	68	18			PROPN
fis-1238	68	19	(	(	PUNCT
fis-1238	68	20	11	11	NUM
fis-1238	68	21	)	)	PUNCT
fis-1238	68	22	the	the	DET
fis-1238	68	23	dependence	dependence	NOUN
fis-1238	68	24	of	of	ADP
fis-1238	68	25	the	the	DET
fis-1238	68	26	kinematic	kinematic	ADJ
fis-1238	68	27	map	map	NOUN
fis-1238	68	28	on	on	ADP
fis-1238	68	29	the	the	DET
fis-1238	68	30	effective	effective	ADJ
fis-1238	68	31	elastic	elastic	ADJ
fis-1238	68	32	coefficients	coefficient	NOUN
fis-1238	68	33	is	be	AUX
fis-1238	68	34	a	a	DET
fis-1238	68	35	consequence	consequence	NOUN
fis-1238	68	36	of	of	ADP
fis-1238	68	37	the	the	DET
fis-1238	68	38	enforcement	enforcement	NOUN
fis-1238	68	39	of	of	ADP
fis-1238	68	40	the	the	DET
fis-1238	68	41	balance	balance	NOUN
fis-1238	68	42	equations	equation	NOUN
fis-1238	68	43	in	in	ADP
fis-1238	68	44	the	the	DET
fis-1238	68	45	uc	uc	PROPN
fis-1238	68	46	,	,	PUNCT
fis-1238	68	47	ensuring	ensure	VERB
fis-1238	68	48	that	that	SCONJ
fis-1238	68	49	the	the	DET
fis-1238	68	50	kinematic	kinematic	ADJ
fis-1238	68	51	map	map	NOUN
fis-1238	68	52	is	be	AUX
fis-1238	68	53	the	the	DET
fis-1238	68	54	solution	solution	NOUN
fis-1238	68	55	of	of	ADP
fis-1238	68	56	the	the	DET
fis-1238	68	57	bvp	bvp	NOUN
fis-1238	68	58	in	in	ADP
fis-1238	68	59	the	the	DET
fis-1238	68	60	uc	uc	PROPN
fis-1238	68	61	made	make	VERB
fis-1238	68	62	of	of	ADP
fis-1238	68	63	the	the	DET
fis-1238	68	64	homogenized	homogenized	ADJ
fis-1238	68	65	material	material	NOUN
fis-1238	68	66	.	.	PUNCT
fis-1238	69	1	the	the	DET
fis-1238	69	2	quantities	quantity	NOUN
fis-1238	69	3	1	1	PROPN
fis-1238	69	4	,	,	PUNCT
fis-1238	69	5	2	2	PROPN
fis-1238	69	6	and	and	CCONJ
fis-1238	69	7	3	3	NUM
fis-1238	69	8	account	account	NOUN
fis-1238	69	9	for	for	ADP
fis-1238	69	10	the	the	DET
fis-1238	69	11	effects	effect	NOUN
fis-1238	69	12	of	of	ADP
fis-1238	69	13	the	the	DET
fis-1238	69	14	perturbation	perturbation	NOUN
fis-1238	69	15	parts	part	NOUN
fis-1238	69	16	of	of	ADP
fis-1238	69	17	the	the	DET
fis-1238	69	18	displacement	displacement	ADJ
fis-1238	69	19	field	field	NOUN
fis-1238	69	20	in	in	ADP
fis-1238	69	21	determining	determine	VERB
fis-1238	69	22	the	the	DET
fis-1238	69	23	average	average	ADJ
fis-1238	69	24	macroscopic	macroscopic	ADJ
fis-1238	69	25	strains	strain	NOUN
fis-1238	69	26	and	and	CCONJ
fis-1238	69	27	are	be	AUX
fis-1238	69	28	presented	present	VERB
fis-1238	69	29	in	in	ADP
fis-1238	69	30	detail	detail	NOUN
fis-1238	69	31	in	in	ADP
fis-1238	69	32	[	[	X
fis-1238	69	33	11	11	NUM
fis-1238	69	34	]	]	PUNCT
fis-1238	69	35	.	.	PUNCT
fis-1238	70	1	in	in	ADP
fis-1238	70	2	this	this	DET
fis-1238	70	3	work	work	NOUN
fis-1238	70	4	linear	linear	ADJ
fis-1238	70	5	elastic	elastic	ADJ
fis-1238	70	6	isotropic	isotropic	NOUN
fis-1238	70	7	behavior	behavior	NOUN
fis-1238	70	8	is	be	AUX
fis-1238	70	9	assumed	assume	VERB
fis-1238	70	10	for	for	ADP
fis-1238	70	11	the	the	DET
fis-1238	70	12	constituents	constituent	NOUN
fis-1238	70	13	at	at	ADP
fis-1238	70	14	the	the	DET
fis-1238	70	15	micro	micro	NOUN
fis-1238	70	16	-	-	NOUN
fis-1238	70	17	level	level	NOUN
fis-1238	70	18	.	.	PUNCT
fis-1238	71	1	a	a	DET
fis-1238	71	2	straightforward	straightforward	ADJ
fis-1238	71	3	extension	extension	NOUN
fis-1238	71	4	to	to	ADP
fis-1238	71	5	the	the	DET
fis-1238	71	6	case	case	NOUN
fis-1238	71	7	of	of	ADP
fis-1238	71	8	non	non	ADJ
fis-1238	71	9	-	-	ADJ
fis-1238	71	10	linear	linear	ADJ
fis-1238	71	11	material	material	NOUN
fis-1238	71	12	behavior	behavior	NOUN
fis-1238	71	13	can	can	AUX
fis-1238	71	14	be	be	AUX
fis-1238	71	15	,	,	PUNCT
fis-1238	71	16	however	however	ADV
fis-1238	71	17	,	,	PUNCT
fis-1238	71	18	easily	easily	ADV
fis-1238	71	19	made	make	VERB
fis-1238	71	20	.	.	PUNCT
fis-1238	72	1	heterogeneous	heterogeneous	ADJ
fis-1238	72	2	material	material	NOUN
fis-1238	72	3	:	:	PUNCT
fis-1238	72	4	perturbation	perturbation	NOUN
fis-1238	72	5	field	field	NOUN
fis-1238	72	6	in	in	ADP
fis-1238	72	7	the	the	DET
fis-1238	72	8	uc	uc	PROPN
fis-1238	72	9	domain	domain	NOUN
fis-1238	73	1	he	he	PRON
fis-1238	73	2	characterization	characterization	NOUN
fis-1238	73	3	of	of	ADP
fis-1238	73	4	the	the	DET
fis-1238	73	5	perturbation	perturbation	NOUN
fis-1238	73	6	field	field	NOUN
fis-1238	73	7			X
fis-1238	73	8			NOUN
fis-1238	73	9	u	u	ADJ
fis-1238	73	10	x	x	X
fis-1238	73	11	,	,	PUNCT
fis-1238	73	12	x	x	INTJ
fis-1238	73	13	,	,	PUNCT
fis-1238	73	14	arising	arise	VERB
fis-1238	73	15	in	in	ADP
fis-1238	73	16	the	the	DET
fis-1238	73	17	uc	uc	PROPN
fis-1238	73	18	when	when	SCONJ
fis-1238	73	19	a	a	DET
fis-1238	73	20	heterogeneous	heterogeneous	ADJ
fis-1238	73	21	medium	medium	NOUN
fis-1238	73	22	is	be	AUX
fis-1238	73	23	taken	take	VERB
fis-1238	73	24	into	into	ADP
fis-1238	73	25	account	account	NOUN
fis-1238	73	26	,	,	PUNCT
fis-1238	73	27	is	be	AUX
fis-1238	73	28	discussed	discuss	VERB
fis-1238	73	29	.	.	PUNCT
fis-1238	74	1	depending	depend	VERB
fis-1238	74	2	on	on	ADP
fis-1238	74	3	the	the	DET
fis-1238	74	4	choice	choice	NOUN
fis-1238	74	5	of	of	ADP
fis-1238	74	6	the	the	DET
fis-1238	74	7	boundary	boundary	ADJ
fis-1238	74	8	conditions	condition	NOUN
fis-1238	74	9	imposed	impose	VERB
fis-1238	74	10	at	at	ADP
fis-1238	74	11	the	the	DET
fis-1238	74	12	micro	micro	NOUN
fis-1238	74	13	-	-	NOUN
fis-1238	74	14	level	level	ADJ
fis-1238	74	15	,	,	PUNCT
fis-1238	74	16	very	very	ADV
fis-1238	74	17	different	different	ADJ
fis-1238	74	18	results	result	NOUN
fis-1238	74	19	can	can	AUX
fis-1238	74	20	be	be	AUX
fis-1238	74	21	obtained	obtain	VERB
fis-1238	74	22	in	in	ADP
fis-1238	74	23	terms	term	NOUN
fis-1238	74	24	of	of	ADP
fis-1238	74	25	displacement	displacement	ADJ
fis-1238	74	26	fields	field	NOUN
fis-1238	74	27	solution	solution	NOUN
fis-1238	74	28	of	of	ADP
fis-1238	74	29	the	the	DET
fis-1238	74	30	bvp	bvp	NOUN
fis-1238	74	31	.	.	PUNCT
fis-1238	75	1	it	it	PRON
fis-1238	75	2	is	be	AUX
fis-1238	75	3	well	well	ADV
fis-1238	75	4	established	establish	VERB
fis-1238	75	5	that	that	SCONJ
fis-1238	75	6	,	,	PUNCT
fis-1238	75	7	in	in	ADP
fis-1238	75	8	the	the	DET
fis-1238	75	9	case	case	NOUN
fis-1238	75	10	of	of	ADP
fis-1238	75	11	first	first	ADJ
fis-1238	75	12	order	order	NOUN
fis-1238	75	13	homogenization	homogenization	NOUN
fis-1238	75	14	,	,	PUNCT
fis-1238	75	15			ADJ
fis-1238	75	16			NOUN
fis-1238	75	17	u	u	ADJ
fis-1238	75	18	x	x	X
fis-1238	75	19	,	,	PUNCT
fis-1238	75	20	x	x	X
fis-1238	75	21	is	be	AUX
fis-1238	75	22	a	a	DET
fis-1238	75	23	periodic	periodic	ADJ
fis-1238	75	24	field	field	NOUN
fis-1238	75	25	.	.	PUNCT
fis-1238	76	1	in	in	ADP
fis-1238	76	2	this	this	DET
fis-1238	76	3	instance	instance	NOUN
fis-1238	76	4	,	,	PUNCT
fis-1238	76	5	the	the	DET
fis-1238	76	6	periodic	periodic	ADJ
fis-1238	76	7	boundary	boundary	ADJ
fis-1238	76	8	conditions	condition	NOUN
fis-1238	76	9	(	(	PUNCT
fis-1238	76	10	pbcs	pbcs	NOUN
fis-1238	76	11	)	)	PUNCT
fis-1238	76	12	are	be	AUX
fis-1238	76	13	suitable	suitable	ADJ
fis-1238	76	14	to	to	PART
fis-1238	76	15	correctly	correctly	ADV
fis-1238	76	16	reproduce	reproduce	VERB
fis-1238	76	17	the	the	DET
fis-1238	76	18	unknown	unknown	ADJ
fis-1238	76	19	perturbation	perturbation	NOUN
fis-1238	76	20	field	field	NOUN
fis-1238	76	21	.	.	PUNCT
fis-1238	77	1	the	the	DET
fis-1238	77	2	extension	extension	NOUN
fis-1238	77	3	to	to	ADP
fis-1238	77	4	the	the	DET
fis-1238	77	5	case	case	NOUN
fis-1238	77	6	in	in	ADP
fis-1238	77	7	which	which	PRON
fis-1238	77	8	higher	high	ADJ
fis-1238	77	9	order	order	NOUN
fis-1238	77	10	polynomial	polynomial	ADJ
fis-1238	77	11	terms	term	NOUN
fis-1238	77	12	are	be	AUX
fis-1238	77	13	considered	consider	VERB
fis-1238	77	14	in	in	ADP
fis-1238	77	15	the	the	DET
fis-1238	77	16	kinematic	kinematic	ADJ
fis-1238	77	17	map	map	NOUN
fis-1238	77	18	is	be	AUX
fis-1238	77	19	not	not	PART
fis-1238	77	20	trivial	trivial	ADJ
fis-1238	77	21	and	and	CCONJ
fis-1238	77	22	it	it	PRON
fis-1238	77	23	is	be	AUX
fis-1238	77	24	not	not	PART
fis-1238	77	25	possible	possible	ADJ
fis-1238	77	26	to	to	ADP
fis-1238	77	27	a	a	DET
fis-1238	77	28	-	-	PUNCT
fis-1238	77	29	priori	priori	NOUN
fis-1238	77	30	assume	assume	VERB
fis-1238	77	31	the	the	DET
fis-1238	77	32	periodicity	periodicity	NOUN
fis-1238	77	33	of	of	ADP
fis-1238	77	34			ADJ
fis-1238	77	35			NOUN
fis-1238	77	36	u	u	ADJ
fis-1238	77	37	x	x	X
fis-1238	77	38	,	,	PUNCT
fis-1238	77	39	x	x	INTJ
fis-1238	77	40	,	,	PUNCT
fis-1238	77	41	as	as	SCONJ
fis-1238	77	42	remarked	remark	VERB
fis-1238	77	43	in	in	ADP
fis-1238	77	44	[	[	X
fis-1238	77	45	7	7	NUM
fis-1238	77	46	,	,	PUNCT
fis-1238	77	47	9	9	NUM
fis-1238	77	48	,	,	PUNCT
fis-1238	77	49	11	11	NUM
fis-1238	77	50	]	]	PUNCT
fis-1238	77	51	.	.	PUNCT
fis-1238	78	1	in	in	ADP
fis-1238	78	2	this	this	DET
fis-1238	78	3	section	section	NOUN
fis-1238	78	4	,	,	PUNCT
fis-1238	78	5	three	three	NUM
fis-1238	78	6	approaches	approach	NOUN
fis-1238	78	7	are	be	AUX
fis-1238	78	8	introduced	introduce	VERB
fis-1238	78	9	to	to	PART
fis-1238	78	10	characterize	characterize	VERB
fis-1238	78	11	the	the	DET
fis-1238	78	12	perturbation	perturbation	NOUN
fis-1238	78	13	field	field	NOUN
fis-1238	78	14	.	.	PUNCT
fis-1238	79	1	in	in	ADP
fis-1238	79	2	the	the	DET
fis-1238	79	3	first	first	ADJ
fis-1238	79	4	approach	approach	NOUN
fis-1238	79	5	,	,	PUNCT
fis-1238	79	6	the	the	DET
fis-1238	79	7	classical	classical	ADJ
fis-1238	79	8	periodicity	periodicity	NOUN
fis-1238	79	9	conditions	condition	NOUN
fis-1238	79	10	are	be	AUX
fis-1238	79	11	considered	consider	VERB
fis-1238	79	12	.	.	PUNCT
fis-1238	80	1	the	the	DET
fis-1238	80	2	second	second	ADJ
fis-1238	80	3	technique	technique	NOUN
fis-1238	80	4	assumes	assume	VERB
fis-1238	80	5	the	the	DET
fis-1238	80	6	decomposition	decomposition	NOUN
fis-1238	80	7	of	of	ADP
fis-1238	80	8	the	the	DET
fis-1238	80	9	perturbation	perturbation	NOUN
fis-1238	80	10	field	field	NOUN
fis-1238	80	11	in	in	ADP
fis-1238	80	12	different	different	ADJ
fis-1238	80	13	contributions	contribution	NOUN
fis-1238	80	14	,	,	PUNCT
fis-1238	80	15	related	relate	VERB
fis-1238	80	16	to	to	ADP
fis-1238	80	17	the	the	DET
fis-1238	80	18	first	first	ADJ
fis-1238	80	19	,	,	PUNCT
fis-1238	80	20	second	second	ADJ
fis-1238	80	21	and	and	CCONJ
fis-1238	80	22	third	third	ADJ
fis-1238	80	23	order	order	NOUN
fis-1238	80	24	gradients	gradient	NOUN
fis-1238	80	25	of	of	ADP
fis-1238	80	26	the	the	DET
fis-1238	80	27	kinematic	kinematic	ADJ
fis-1238	80	28	map	map	NOUN
fis-1238	80	29	as	as	SCONJ
fis-1238	80	30	proposed	propose	VERB
fis-1238	80	31	in	in	ADP
fis-1238	80	32	[	[	X
fis-1238	80	33	11	11	NUM
fis-1238	80	34	]	]	PUNCT
fis-1238	80	35	.	.	PUNCT
fis-1238	81	1	the	the	DET
fis-1238	81	2	last	last	ADJ
fis-1238	81	3	approach	approach	NOUN
fis-1238	81	4	is	be	AUX
fis-1238	81	5	based	base	VERB
fis-1238	81	6	on	on	ADP
fis-1238	81	7	the	the	DET
fis-1238	81	8	enforcement	enforcement	NOUN
fis-1238	81	9	of	of	ADP
fis-1238	81	10	proper	proper	ADJ
fis-1238	81	11	boundary	boundary	ADJ
fis-1238	81	12	conditions	condition	NOUN
fis-1238	81	13	(	(	PUNCT
fis-1238	81	14	bcs	bcs	NOUN
fis-1238	81	15	)	)	PUNCT
fis-1238	81	16	on	on	ADP
fis-1238	81	17	the	the	DET
fis-1238	81	18	uc	uc	PROPN
fis-1238	81	19	,	,	PUNCT
fis-1238	81	20	as	as	SCONJ
fis-1238	81	21	described	describe	VERB
fis-1238	81	22	in	in	ADP
fis-1238	81	23	[	[	X
fis-1238	81	24	7	7	NUM
fis-1238	81	25	]	]	PUNCT
fis-1238	81	26	,	,	PUNCT
fis-1238	81	27	resulting	result	VERB
fis-1238	81	28	from	from	ADP
fis-1238	81	29	the	the	DET
fis-1238	81	30	analysis	analysis	NOUN
fis-1238	81	31	of	of	ADP
fis-1238	81	32	the	the	DET
fis-1238	81	33	actual	actual	ADJ
fis-1238	81	34	perturbation	perturbation	NOUN
fis-1238	81	35	field	field	NOUN
fis-1238	81	36	distribution	distribution	NOUN
fis-1238	81	37	in	in	ADP
fis-1238	81	38	the	the	DET
fis-1238	81	39	rve	rve	NOUN
fis-1238	81	40	undergoing	undergo	VERB
fis-1238	81	41	remote	remote	ADJ
fis-1238	81	42	fully	fully	ADV
fis-1238	81	43	displacement	displacement	ADJ
fis-1238	81	44	bcs	bc	NOUN
fis-1238	81	45	.	.	PUNCT
fis-1238	82	1	finally	finally	ADV
fis-1238	82	2	,	,	PUNCT
fis-1238	82	3	the	the	DET
fis-1238	82	4	comparison	comparison	NOUN
fis-1238	82	5	between	between	ADP
fis-1238	82	6	the	the	DET
fis-1238	82	7	numerical	numerical	ADJ
fis-1238	82	8	results	result	NOUN
fis-1238	82	9	obtained	obtain	VERB
fis-1238	82	10	using	use	VERB
fis-1238	82	11	the	the	DET
fis-1238	82	12	adopted	adopt	VERB
fis-1238	82	13	procedures	procedure	NOUN
fis-1238	82	14	for	for	ADP
fis-1238	82	15	a	a	DET
fis-1238	82	16	paradigmatic	paradigmatic	ADJ
fis-1238	82	17	example	example	NOUN
fis-1238	82	18	of	of	ADP
fis-1238	82	19	a	a	DET
fis-1238	82	20	two	two	NUM
fis-1238	82	21	-	-	PUNCT
fis-1238	82	22	phase	phase	NOUN
fis-1238	82	23	composite	composite	ADJ
fis-1238	82	24	material	material	NOUN
fis-1238	82	25	,	,	PUNCT
fis-1238	82	26	characterized	characterize	VERB
fis-1238	82	27	by	by	ADP
fis-1238	82	28	cubic	cubic	ADJ
fis-1238	82	29	symmetry	symmetry	NOUN
fis-1238	82	30	,	,	PUNCT
fis-1238	82	31	is	be	AUX
fis-1238	82	32	presented	present	VERB
fis-1238	82	33	.	.	PUNCT
fis-1238	83	1	procedure	procedure	NOUN
fis-1238	83	2	a	a	PRON
fis-1238	83	3	:	:	PUNCT
fis-1238	83	4	periodic	periodic	ADJ
fis-1238	83	5	bcs	bcs	NOUN
fis-1238	83	6	(	(	PUNCT
fis-1238	83	7	pbcs	pbcs	NOUN
fis-1238	83	8	)	)	PUNCT
fis-1238	83	9	in	in	ADP
fis-1238	83	10	the	the	DET
fis-1238	83	11	uc	uc	NOUN
fis-1238	83	12	the	the	DET
fis-1238	83	13	first	first	ADJ
fis-1238	83	14	procedure	procedure	NOUN
fis-1238	83	15	to	to	PART
fis-1238	83	16	characterize	characterize	VERB
fis-1238	83	17	the	the	DET
fis-1238	83	18	field	field	NOUN
fis-1238	83	19			NOUN
fis-1238	83	20			NOUN
fis-1238	83	21	u	u	ADJ
fis-1238	83	22	x	x	X
fis-1238	83	23	,	,	PUNCT
fis-1238	83	24	x	x	PRON
fis-1238	83	25	involves	involve	VERB
fis-1238	83	26	the	the	DET
fis-1238	83	27	solution	solution	NOUN
fis-1238	83	28	of	of	ADP
fis-1238	83	29	the	the	DET
fis-1238	83	30	bvp	bvp	NOUN
fis-1238	83	31	in	in	ADP
fis-1238	83	32	the	the	DET
fis-1238	83	33	uc	uc	PROPN
fis-1238	83	34	under	under	ADP
fis-1238	83	35	standard	standard	ADJ
fis-1238	83	36	pbcs	pbc	NOUN
fis-1238	83	37	.	.	PUNCT
fis-1238	84	1	corresponding	correspond	VERB
fis-1238	84	2	points	point	NOUN
fis-1238	84	3	on	on	ADP
fis-1238	84	4	opposite	opposite	ADJ
fis-1238	84	5	sides	side	NOUN
fis-1238	84	6	of	of	ADP
fis-1238	84	7	the	the	DET
fis-1238	84	8	uc	uc	NOUN
fis-1238	84	9	are	be	AUX
fis-1238	84	10	constrained	constrain	VERB
fis-1238	84	11	to	to	PART
fis-1238	84	12	undergo	undergo	VERB
fis-1238	84	13	the	the	DET
fis-1238	84	14	same	same	ADJ
fis-1238	84	15	perturbation	perturbation	NOUN
fis-1238	84	16	displacement	displacement	NOUN
fis-1238	84	17	.	.	PUNCT
fis-1238	85	1	the	the	DET
fis-1238	85	2	following	follow	VERB
fis-1238	85	3	conditions	condition	NOUN
fis-1238	85	4	are	be	AUX
fis-1238	85	5	imposed	impose	VERB
fis-1238	85	6	on	on	ADP
fis-1238	85	7	the	the	DET
fis-1238	85	8	sides	side	NOUN
fis-1238	85	9	of	of	ADP
fis-1238	85	10	the	the	DET
fis-1238	85	11	uc	uc	ADJ
fis-1238	85	12	:	:	PUNCT
fis-1238	85	13			NOUN
fis-1238	85	14			PROPN
fis-1238	85	15			NOUN
fis-1238	86	1			PROPN
fis-1238	86	2			ADJ
fis-1238	86	3			NOUN
fis-1238	86	4			NOUN
fis-1238	86	5			SYM
fis-1238	86	6			NOUN
fis-1238	86	7			PROPN
fis-1238	86	8			ADJ
fis-1238	86	9			NOUN
fis-1238	86	10	1	1	NUM
fis-1238	86	11	2	2	NUM
fis-1238	86	12	1	1	NUM
fis-1238	86	13	2	2	NUM
fis-1238	86	14	2	2	NUM
fis-1238	86	15	2	2	NUM
fis-1238	86	16	2	2	NUM
fis-1238	86	17	1	1	NUM
fis-1238	86	18	2	2	NUM
fis-1238	86	19	1	1	NUM
fis-1238	86	20	2	2	NUM
fis-1238	86	21	1	1	NUM
fis-1238	86	22	1	1	NUM
fis-1238	86	23	1	1	NUM
fis-1238	86	24	,	,	PUNCT
fis-1238	86	25	,	,	PUNCT
fis-1238	86	26	,	,	PUNCT
fis-1238	86	27	,	,	PUNCT
fis-1238	86	28	,	,	PUNCT
fis-1238	86	29	,	,	PUNCT
fis-1238	86	30	,	,	PUNCT
fis-1238	86	31	,	,	PUNCT
fis-1238	86	32	a	a	PRON
fis-1238	86	33	x	x	X
fis-1238	86	34	a	a	X
fis-1238	86	35	x	x	X
fis-1238	86	36	x	x	X
fis-1238	86	37	a	a	PRON
fis-1238	86	38	a	a	NOUN
fis-1238	86	39	x	x	SYM
fis-1238	86	40	a	a	PRON
fis-1238	86	41	x	x	SYM
fis-1238	86	42	a	a	X
fis-1238	86	43	x	x	NOUN
fis-1238	86	44	a	a	DET
fis-1238	86	45	a	a	DET
fis-1238	86	46			ADJ
fis-1238	86	47			NOUN
fis-1238	86	48			VERB
fis-1238	86	49			NOUN
fis-1238	86	50			PROPN
fis-1238	86	51			PROPN
fis-1238	86	52			PROPN
fis-1238	86	53			VERB
fis-1238	86	54			NOUN
fis-1238	86	55			PROPN
fis-1238	86	56	u	u	NOUN
fis-1238	86	57	u	u	PROPN
fis-1238	86	58	u	u	X
fis-1238	86	59	u	u	PROPN
fis-1238	86	60			X
fis-1238	86	61			X
fis-1238	86	62			PROPN
fis-1238	86	63			NOUN
fis-1238	86	64	(	(	PUNCT
fis-1238	86	65	12	12	NUM
fis-1238	86	66	)	)	PUNCT
fis-1238	86	67	where	where	SCONJ
fis-1238	86	68	the	the	DET
fis-1238	86	69	dependence	dependence	NOUN
fis-1238	86	70	on	on	ADP
fis-1238	86	71	x	x	PUNCT
fis-1238	86	72	has	have	AUX
fis-1238	86	73	been	be	AUX
fis-1238	86	74	omitted	omit	VERB
fis-1238	86	75	for	for	ADP
fis-1238	86	76	the	the	DET
fis-1238	86	77	sake	sake	NOUN
fis-1238	86	78	of	of	ADP
fis-1238	86	79	brevity	brevity	NOUN
fis-1238	86	80	.	.	PUNCT
fis-1238	87	1	in	in	ADP
fis-1238	87	2	the	the	DET
fis-1238	87	3	presence	presence	NOUN
fis-1238	87	4	of	of	ADP
fis-1238	87	5	nonvanishing	nonvanishe	VERB
fis-1238	87	6	components	component	NOUN
fis-1238	87	7	1k	1k	NOUN
fis-1238	87	8	,	,	PUNCT
fis-1238	87	9	2k	2k	NOUN
fis-1238	87	10	and	and	CCONJ
fis-1238	87	11			NOUN
fis-1238	87	12	,	,	PUNCT
fis-1238	87	13	this	this	DET
fis-1238	87	14	assumption	assumption	NOUN
fis-1238	87	15	leads	lead	VERB
fis-1238	87	16	to	to	ADP
fis-1238	87	17	unrealistic	unrealistic	ADJ
fis-1238	87	18	distributions	distribution	NOUN
fis-1238	87	19	of	of	ADP
fis-1238	87	20	the	the	DET
fis-1238	87	21	perturbation	perturbation	NOUN
fis-1238	87	22	field	field	NOUN
fis-1238	87	23	.	.	PUNCT
fis-1238	88	1	t	t	PROPN
fis-1238	88	2	m.l	m.l	PROPN
fis-1238	88	3	.	.	PROPN
fis-1238	88	4	de	de	PROPN
fis-1238	88	5	bellis	bellis	PROPN
fis-1238	88	6	et	et	PROPN
fis-1238	88	7	alii	alii	PROPN
fis-1238	88	8	,	,	PUNCT
fis-1238	88	9	frattura	frattura	PROPN
fis-1238	88	10	ed	ed	PROPN
fis-1238	88	11	integrità	integrità	PROPN
fis-1238	88	12	strutturale	strutturale	PROPN
fis-1238	88	13	,	,	PUNCT
fis-1238	88	14	29	29	NUM
fis-1238	88	15	(	(	PUNCT
fis-1238	88	16	2014	2014	NUM
fis-1238	88	17	)	)	PUNCT
fis-1238	88	18	37	37	NUM
fis-1238	88	19	-	-	SYM
fis-1238	88	20	48	48	NUM
fis-1238	88	21	;	;	PUNCT
fis-1238	88	22	doi	doi	NOUN
fis-1238	88	23	:	:	PUNCT
fis-1238	88	24	10.3221	10.3221	NUM
fis-1238	88	25	/	/	SYM
fis-1238	88	26	igf	igf	PROPN
fis-1238	88	27	-	-	PUNCT
fis-1238	88	28	esis.29.05	esis.29.05	NOUN
fis-1238	88	29	41	41	NUM
fis-1238	88	30	procedure	procedure	NOUN
fis-1238	88	31	b	b	NOUN
fis-1238	88	32	:	:	PUNCT
fis-1238	88	33	3	3	NUM
fis-1238	88	34	step	step	NOUN
fis-1238	88	35	homogenization	homogenization	NOUN
fis-1238	88	36	this	this	DET
fis-1238	88	37	procedure	procedure	NOUN
fis-1238	88	38	has	have	AUX
fis-1238	88	39	been	be	AUX
fis-1238	88	40	proposed	propose	VERB
fis-1238	88	41	by	by	ADP
fis-1238	88	42	the	the	DET
fis-1238	88	43	authors	author	NOUN
fis-1238	88	44	in	in	ADP
fis-1238	88	45	[	[	X
fis-1238	88	46	11	11	NUM
fis-1238	88	47	]	]	PUNCT
fis-1238	88	48	as	as	ADP
fis-1238	88	49	an	an	DET
fis-1238	88	50	extension	extension	NOUN
fis-1238	88	51	to	to	ADP
fis-1238	88	52	the	the	DET
fis-1238	88	53	2d	2d	NUM
fis-1238	88	54	micropolar	micropolar	ADJ
fis-1238	88	55	computational	computational	ADJ
fis-1238	88	56	homogenization	homogenization	NOUN
fis-1238	88	57	of	of	ADP
fis-1238	88	58	the	the	DET
fis-1238	88	59	homogenization	homogenization	NOUN
fis-1238	88	60	of	of	ADP
fis-1238	88	61	second	second	ADJ
fis-1238	88	62	gradient	gradient	NOUN
fis-1238	88	63	continua	continuum	NOUN
fis-1238	88	64	via	via	ADP
fis-1238	88	65	the	the	DET
fis-1238	88	66	asymptotic	asymptotic	ADJ
fis-1238	88	67	approach	approach	NOUN
fis-1238	88	68	[	[	X
fis-1238	88	69	12	12	NUM
fis-1238	88	70	,	,	PUNCT
fis-1238	88	71	15	15	NUM
fis-1238	88	72	]	]	PUNCT
fis-1238	88	73	.	.	PUNCT
fis-1238	89	1	here	here	ADV
fis-1238	89	2	,	,	PUNCT
fis-1238	89	3	the	the	DET
fis-1238	89	4	basic	basic	ADJ
fis-1238	89	5	idea	idea	NOUN
fis-1238	89	6	is	be	AUX
fis-1238	89	7	recalled	recall	VERB
fis-1238	89	8	and	and	CCONJ
fis-1238	89	9	the	the	DET
fis-1238	89	10	main	main	ADJ
fis-1238	89	11	steps	step	NOUN
fis-1238	89	12	are	be	AUX
fis-1238	89	13	addressed	address	VERB
fis-1238	89	14	.	.	PUNCT
fis-1238	90	1	it	it	PRON
fis-1238	90	2	is	be	AUX
fis-1238	90	3	assumed	assume	VERB
fis-1238	90	4	that	that	SCONJ
fis-1238	90	5	the	the	DET
fis-1238	90	6	total	total	ADJ
fis-1238	90	7	perturbation	perturbation	NOUN
fis-1238	90	8	displacement	displacement	NOUN
fis-1238	90	9	vector	vector	NOUN
fis-1238	90	10			NOUN
fis-1238	90	11			NOUN
fis-1238	90	12	u	u	ADJ
fis-1238	90	13	x	x	X
fis-1238	90	14	,	,	PUNCT
fis-1238	90	15	x	x	PRON
fis-1238	90	16	can	can	AUX
fis-1238	90	17	be	be	AUX
fis-1238	90	18	expressed	express	VERB
fis-1238	90	19	as	as	ADP
fis-1238	90	20	the	the	DET
fis-1238	90	21	sum	sum	NOUN
fis-1238	90	22	of	of	ADP
fis-1238	90	23	three	three	NUM
fis-1238	90	24	fields	field	NOUN
fis-1238	90	25	evaluated	evaluate	VERB
fis-1238	90	26	in	in	ADP
fis-1238	90	27	sequence	sequence	NOUN
fis-1238	90	28	.	.	PUNCT
fis-1238	91	1	initially	initially	ADV
fis-1238	91	2	,	,	PUNCT
fis-1238	91	3	only	only	ADV
fis-1238	91	4	the	the	DET
fis-1238	91	5	first	first	ADJ
fis-1238	91	6	order	order	NOUN
fis-1238	91	7	terms	term	NOUN
fis-1238	91	8	of	of	ADP
fis-1238	91	9	the	the	DET
fis-1238	91	10	kinematic	kinematic	ADJ
fis-1238	91	11	map	map	NOUN
fis-1238	91	12	,	,	PUNCT
fis-1238	91	13	multiplying	multiply	VERB
fis-1238	91	14	the	the	DET
fis-1238	91	15	components	component	NOUN
fis-1238	91	16	1e	1e	NOUN
fis-1238	91	17	,	,	PUNCT
fis-1238	91	18	2e	2e	PROPN
fis-1238	91	19	and	and	CCONJ
fis-1238	91	20	12	12	NUM
fis-1238	91	21	in	in	ADP
fis-1238	91	22	(	(	PUNCT
fis-1238	91	23	8)	8)	NUM
fis-1238	91	24	,	,	PUNCT
fis-1238	91	25	are	be	AUX
fis-1238	91	26	activated	activate	VERB
fis-1238	91	27	;	;	PUNCT
fis-1238	91	28	subsequently	subsequently	ADV
fis-1238	91	29	,	,	PUNCT
fis-1238	91	30	the	the	DET
fis-1238	91	31	effects	effect	NOUN
fis-1238	91	32	of	of	ADP
fis-1238	91	33	the	the	DET
fis-1238	91	34	quadratic	quadratic	ADJ
fis-1238	91	35	terms	term	NOUN
fis-1238	91	36	related	relate	VERB
fis-1238	91	37	to	to	ADP
fis-1238	91	38	1k	1k	NUM
fis-1238	91	39	and	and	CCONJ
fis-1238	91	40	2k	2k	NOUN
fis-1238	91	41	are	be	AUX
fis-1238	91	42	considered	consider	VERB
fis-1238	91	43	and	and	CCONJ
fis-1238	91	44	,	,	PUNCT
fis-1238	91	45	finally	finally	ADV
fis-1238	91	46	,	,	PUNCT
fis-1238	91	47	the	the	DET
fis-1238	91	48	third	third	ADJ
fis-1238	91	49	order	order	NOUN
fis-1238	91	50	term	term	NOUN
fis-1238	91	51	associated	associate	VERB
fis-1238	91	52	with	with	ADP
fis-1238	91	53			NOUN
fis-1238	91	54	is	be	AUX
fis-1238	91	55	taken	take	VERB
fis-1238	91	56	into	into	ADP
fis-1238	91	57	account	account	NOUN
fis-1238	91	58	.	.	PUNCT
fis-1238	92	1	therefore	therefore	ADV
fis-1238	92	2	,	,	PUNCT
fis-1238	92	3	the	the	DET
fis-1238	92	4	vector	vector	NOUN
fis-1238	92	5	results	result	VERB
fis-1238	92	6	as	as	ADP
fis-1238	92	7	:	:	PUNCT
fis-1238	92	8			ADJ
fis-1238	92	9			NOUN
fis-1238	92	10			PUNCT
fis-1238	92	11			NOUN
fis-1238	92	12			SYM
fis-1238	92	13			NOUN
fis-1238	92	14			SYM
fis-1238	92	15			NOUN
fis-1238	92	16	1	1	ADJ
fis-1238	92	17	2	2	NUM
fis-1238	92	18	3	3	NUM
fis-1238	92	19	,	,	PUNCT
fis-1238	92	20	,	,	PUNCT
fis-1238	92	21	,	,	PUNCT
fis-1238	92	22	,	,	PUNCT
fis-1238	92	23	.	.	ADP
fis-1238	92	24			ADJ
fis-1238	92	25	u	u	X
fis-1238	92	26	x	x	PUNCT
fis-1238	92	27	x	x	PUNCT
fis-1238	92	28	r	r	NOUN
fis-1238	92	29	x	x	PUNCT
fis-1238	92	30	x	x	PUNCT
fis-1238	92	31	r	r	NOUN
fis-1238	92	32	x	x	PUNCT
fis-1238	92	33	x	x	SYM
fis-1238	92	34	r	r	NOUN
fis-1238	92	35	x	x	PUNCT
fis-1238	92	36	x	x	DET
fis-1238	92	37			ADJ
fis-1238	92	38			NOUN
fis-1238	92	39	(	(	PUNCT
fis-1238	92	40	13	13	NUM
fis-1238	92	41	)	)	PUNCT
fis-1238	92	42	when	when	SCONJ
fis-1238	92	43	only	only	ADV
fis-1238	92	44	the	the	DET
fis-1238	92	45	linear	linear	ADJ
fis-1238	92	46	terms	term	NOUN
fis-1238	92	47	of	of	ADP
fis-1238	92	48	the	the	DET
fis-1238	92	49	kinematic	kinematic	ADJ
fis-1238	92	50	map	map	NOUN
fis-1238	92	51	are	be	AUX
fis-1238	92	52	considered	consider	VERB
fis-1238	92	53	,	,	PUNCT
fis-1238	92	54	the	the	DET
fis-1238	92	55	case	case	NOUN
fis-1238	92	56	of	of	ADP
fis-1238	92	57	the	the	DET
fis-1238	92	58	first	first	ADJ
fis-1238	92	59	order	order	NOUN
fis-1238	92	60	homogenization	homogenization	NOUN
fis-1238	92	61	is	be	AUX
fis-1238	92	62	recovered	recover	VERB
fis-1238	92	63	.	.	PUNCT
fis-1238	93	1	here	here	ADV
fis-1238	93	2	,	,	PUNCT
fis-1238	93	3	it	it	PRON
fis-1238	93	4	is	be	AUX
fis-1238	93	5	assumed	assume	VERB
fis-1238	93	6	that	that	SCONJ
fis-1238	93	7			NOUN
fis-1238	93	8	1	1	NOUN
fis-1238	93	9	r	r	NOUN
fis-1238	93	10	x	x	NOUN
fis-1238	93	11	,	,	PUNCT
fis-1238	93	12	x	x	PRON
fis-1238	93	13	is	be	AUX
fis-1238	93	14	evaluated	evaluate	VERB
fis-1238	93	15	as	as	ADP
fis-1238	93	16	the	the	DET
fis-1238	93	17	product	product	NOUN
fis-1238	93	18	of	of	ADP
fis-1238	93	19	unknown	unknown	ADJ
fis-1238	93	20	functions	function	NOUN
fis-1238	93	21	times	time	VERB
fis-1238	93	22	the	the	DET
fis-1238	93	23	independent	independent	ADJ
fis-1238	93	24	components	component	NOUN
fis-1238	93	25	of	of	ADP
fis-1238	93	26	the	the	DET
fis-1238	93	27	first	first	ADJ
fis-1238	93	28	gradient	gradient	NOUN
fis-1238	93	29	of	of	ADP
fis-1238	93	30	the	the	DET
fis-1238	93	31	kinematic	kinematic	ADJ
fis-1238	93	32	map	map	NOUN
fis-1238	93	33	,	,	PUNCT
fis-1238	93	34	as	as	ADP
fis-1238	93	35	:	:	PUNCT
fis-1238	93	36			NOUN
fis-1238	94	1			PROPN
fis-1238	94	2			NOUN
fis-1238	94	3			SYM
fis-1238	94	4			NOUN
fis-1238	94	5	11	11	PUNCT
fis-1238	94	6	1	1	NUM
fis-1238	94	7	=	=	SYM
fis-1238	94	8	r	r	NOUN
fis-1238	94	9	x	x	NOUN
fis-1238	94	10	,	,	PUNCT
fis-1238	94	11	x	x	X
fis-1238	94	12	λ	λ	NOUN
fis-1238	94	13	x	x	X
fis-1238	94	14	γ	γ	X
fis-1238	94	15	x	x	PROPN
fis-1238	94	16	,	,	PUNCT
fis-1238	94	17	x	x	PUNCT
fis-1238	94	18	(	(	PUNCT
fis-1238	94	19	14	14	NUM
fis-1238	94	20	)	)	PUNCT
fis-1238	94	21	where	where	SCONJ
fis-1238	94	22			NOUN
fis-1238	94	23			PUNCT
fis-1238	94	24			PROPN
fis-1238	94	25			PROPN
fis-1238	94	26			NOUN
fis-1238	94	27			SYM
fis-1238	94	28			NOUN
fis-1238	94	29			SYM
fis-1238	94	30			NOUN
fis-1238	94	31			SYM
fis-1238	94	32			NOUN
fis-1238	94	33	1	1	VERB
fis-1238	94	34	1	1	NUM
fis-1238	94	35	1	1	NUM
fis-1238	94	36	1	1	NUM
fis-1238	94	37	1	1	NUM
fis-1238	94	38	1	1	NUM
fis-1238	94	39	2	2	NUM
fis-1238	94	40	12	12	NUM
fis-1238	94	41	1	1	NUM
fis-1238	94	42	2	2	NUM
fis-1238	94	43	3=	3=	NUM
fis-1238	94	44	,	,	PUNCT
fis-1238	94	45	=	=	SYM
fis-1238	94	46	t	t	PROPN
fis-1238	94	47			PROPN
fis-1238	94	48			PROPN
fis-1238	94	49			PROPN
fis-1238	94	50			PROPN
fis-1238	94	51			PROPN
fis-1238	94	52			PROPN
fis-1238	94	53			PROPN
fis-1238	94	54			NOUN
fis-1238	94	55			PROPN
fis-1238	94	56	γ	γ	NOUN
fis-1238	94	57	x	x	NOUN
fis-1238	94	58	,	,	PUNCT
fis-1238	94	59	x	x	X
fis-1238	94	60	λ	λ	NOUN
fis-1238	94	61	x	x	PUNCT
fis-1238	94	62	x	x	PUNCT
fis-1238	94	63	x	x	SYM
fis-1238	94	64	x	x	SYM
fis-1238	94	65	(	(	PUNCT
fis-1238	94	66	15	15	NUM
fis-1238	94	67	)	)	PUNCT
fis-1238	94	68			NOUN
fis-1238	94	69	1	1	INTJ
fis-1238	95	1	i	i	NOUN
fis-1238	95	2	x	x	X
fis-1238	95	3	,	,	PUNCT
fis-1238	95	4	=	=	NOUN
fis-1238	95	5	1	1	NUM
fis-1238	95	6	,	,	PUNCT
fis-1238	95	7	2,3,i	2,3,i	NUM
fis-1238	95	8	being	be	AUX
fis-1238	95	9	evaluated	evaluate	VERB
fis-1238	95	10	by	by	ADP
fis-1238	95	11	applying	apply	VERB
fis-1238	95	12	the	the	DET
fis-1238	95	13	components	component	NOUN
fis-1238	95	14	1e	1e	NOUN
fis-1238	95	15	,	,	PUNCT
fis-1238	95	16	2e	2e	PROPN
fis-1238	95	17	and	and	CCONJ
fis-1238	95	18	12	12	NUM
fis-1238	95	19	on	on	ADP
fis-1238	95	20	the	the	DET
fis-1238	95	21	uc	uc	NOUN
fis-1238	95	22	undergoing	undergo	VERB
fis-1238	95	23	pbcs	pbc	NOUN
fis-1238	95	24	.	.	PUNCT
fis-1238	96	1	in	in	ADP
fis-1238	96	2	this	this	DET
fis-1238	96	3	case	case	NOUN
fis-1238	96	4			NOUN
fis-1238	96	5	1	1	NOUN
fis-1238	96	6	r	r	NOUN
fis-1238	96	7	x	x	PROPN
fis-1238	96	8	,	,	PUNCT
fis-1238	96	9	x	x	PRON
fis-1238	96	10	results	result	VERB
fis-1238	96	11	as	as	ADP
fis-1238	96	12	periodic	periodic	ADJ
fis-1238	96	13	functions	function	NOUN
fis-1238	96	14	.	.	PUNCT
fis-1238	97	1	when	when	SCONJ
fis-1238	97	2	the	the	DET
fis-1238	97	3	presence	presence	NOUN
fis-1238	97	4	of	of	ADP
fis-1238	97	5	the	the	DET
fis-1238	97	6	curvatures	curvature	NOUN
fis-1238	97	7	1k	1k	NUM
fis-1238	97	8	and	and	CCONJ
fis-1238	97	9	2k	2k	NOUN
fis-1238	97	10	is	be	AUX
fis-1238	97	11	also	also	ADV
fis-1238	97	12	considered	consider	VERB
fis-1238	97	13	,	,	PUNCT
fis-1238	97	14	with	with	SCONJ
fis-1238	97	15	=	=	SYM
fis-1238	97	16	0	0	PROPN
fis-1238	97	17	,	,	PUNCT
fis-1238	97	18	the	the	DET
fis-1238	97	19	perturbation	perturbation	NOUN
fis-1238	97	20	field	field	NOUN
fis-1238	97	21	can	can	AUX
fis-1238	97	22	be	be	AUX
fis-1238	97	23	expressed	express	VERB
fis-1238	97	24	as	as	ADP
fis-1238	97	25	:	:	PUNCT
fis-1238	97	26			ADJ
fis-1238	97	27			NOUN
fis-1238	97	28			PUNCT
fis-1238	97	29			NOUN
fis-1238	97	30			SYM
fis-1238	97	31			NOUN
fis-1238	97	32			SYM
fis-1238	97	33			NOUN
fis-1238	97	34	1	1	NOUN
fis-1238	97	35	21	21	NUM
fis-1238	97	36	,	,	PUNCT
fis-1238	97	37	=	=	PRON
fis-1238	97	38	,	,	PUNCT
fis-1238	97	39	,	,	PUNCT
fis-1238	97	40	u	u	X
fis-1238	97	41	x	x	PUNCT
fis-1238	97	42	x	x	PUNCT
fis-1238	97	43	λ	λ	X
fis-1238	97	44	x	x	X
fis-1238	97	45	γ	γ	X
fis-1238	97	46	x	x	SYM
fis-1238	97	47	x	x	SYM
fis-1238	97	48	r	r	NOUN
fis-1238	97	49	x	x	SYM
fis-1238	97	50	x	x	X
fis-1238	97	51	(	(	PUNCT
fis-1238	97	52	16	16	NUM
fis-1238	97	53	)	)	PUNCT
fis-1238	97	54	where	where	SCONJ
fis-1238	97	55	now	now	ADV
fis-1238	97	56			NOUN
fis-1238	97	57	2	2	NOUN
fis-1238	97	58	r	r	NOUN
fis-1238	97	59	x	x	NOUN
fis-1238	97	60	,	,	PUNCT
fis-1238	97	61	x	x	PRON
fis-1238	97	62	is	be	AUX
fis-1238	97	63	the	the	DET
fis-1238	97	64	only	only	ADJ
fis-1238	97	65	unknown	unknown	ADJ
fis-1238	97	66	field	field	NOUN
fis-1238	97	67	.	.	PUNCT
fis-1238	98	1	following	follow	VERB
fis-1238	98	2	the	the	DET
fis-1238	98	3	same	same	ADJ
fis-1238	98	4	procedure	procedure	NOUN
fis-1238	98	5	as	as	ADP
fis-1238	98	6	for	for	ADP
fis-1238	98	7	the	the	DET
fis-1238	98	8	first	first	ADJ
fis-1238	98	9	term	term	NOUN
fis-1238	98	10			NOUN
fis-1238	98	11	1	1	NOUN
fis-1238	98	12	r	r	NOUN
fis-1238	98	13	x	x	NOUN
fis-1238	98	14	,	,	PUNCT
fis-1238	98	15	x	x	PRON
fis-1238	98	16	,	,	PUNCT
fis-1238	98	17	it	it	PRON
fis-1238	98	18	is	be	AUX
fis-1238	98	19	assumed	assume	VERB
fis-1238	98	20	that	that	SCONJ
fis-1238	98	21			NOUN
fis-1238	98	22	2	2	NOUN
fis-1238	98	23	r	r	NOUN
fis-1238	98	24	x	x	NOUN
fis-1238	98	25	,	,	PUNCT
fis-1238	98	26	x	x	PRON
fis-1238	98	27	is	be	AUX
fis-1238	98	28	expressed	express	VERB
fis-1238	98	29	as	as	ADP
fis-1238	98	30	the	the	DET
fis-1238	98	31	product	product	NOUN
fis-1238	98	32	of	of	ADP
fis-1238	98	33	unknown	unknown	ADJ
fis-1238	98	34	functions	function	NOUN
fis-1238	98	35	and	and	CCONJ
fis-1238	98	36			NOUN
fis-1238	98	37	2	2	NOUN
fis-1238	98	38	γ	γ	X
fis-1238	98	39	x	x	PROPN
fis-1238	98	40	,	,	PUNCT
fis-1238	98	41	x	x	INTJ
fis-1238	98	42	,	,	PUNCT
fis-1238	98	43	i.e.	i.e.	X
fis-1238	98	44	the	the	DET
fis-1238	98	45	nonvanishing	nonvanishe	VERB
fis-1238	98	46	components	component	NOUN
fis-1238	98	47	of	of	ADP
fis-1238	98	48	the	the	DET
fis-1238	98	49	first	first	ADJ
fis-1238	98	50	gradient	gradient	NOUN
fis-1238	98	51	of	of	ADP
fis-1238	98	52			NOUN
fis-1238	98	53	1	1	PROPN
fis-1238	98	54	γ	γ	X
fis-1238	98	55	x	x	PROPN
fis-1238	98	56	,	,	PUNCT
fis-1238	98	57	x	x	INTJ
fis-1238	98	58	.	.	PUNCT
fis-1238	99	1	then	then	ADV
fis-1238	99	2	,	,	PUNCT
fis-1238	99	3	the	the	DET
fis-1238	99	4	unknown	unknown	ADJ
fis-1238	99	5	field	field	NOUN
fis-1238	99	6			NOUN
fis-1238	99	7	2	2	NOUN
fis-1238	99	8	r	r	NOUN
fis-1238	99	9	x	x	NOUN
fis-1238	99	10	,	,	PUNCT
fis-1238	99	11	x	x	PRON
fis-1238	99	12	is	be	AUX
fis-1238	99	13	represented	represent	VERB
fis-1238	99	14	in	in	ADP
fis-1238	99	15	the	the	DET
fis-1238	99	16	form	form	NOUN
fis-1238	99	17	:	:	PUNCT
fis-1238	99	18			NOUN
fis-1238	99	19			SYM
fis-1238	99	20			NOUN
fis-1238	99	21			SYM
fis-1238	99	22			NOUN
fis-1238	99	23	22	22	NOUN
fis-1238	99	24	2	2	NUM
fis-1238	99	25	,	,	PUNCT
fis-1238	99	26	=	=	PRON
fis-1238	99	27	,	,	PUNCT
fis-1238	99	28	r	r	NOUN
fis-1238	99	29	x	x	NOUN
fis-1238	99	30	x	x	PUNCT
fis-1238	99	31	λ	λ	X
fis-1238	99	32	x	x	X
fis-1238	99	33	γ	γ	X
fis-1238	99	34	x	x	SYM
fis-1238	99	35	x	x	X
fis-1238	99	36	(	(	PUNCT
fis-1238	99	37	17	17	NUM
fis-1238	99	38	)	)	PUNCT
fis-1238	99	39	with	with	ADP
fis-1238	99	40			NOUN
fis-1238	99	41			PUNCT
fis-1238	99	42			PROPN
fis-1238	100	1			PROPN
fis-1238	100	2			NOUN
fis-1238	100	3			SYM
fis-1238	100	4			NOUN
fis-1238	100	5			SYM
fis-1238	100	6			NOUN
fis-1238	100	7			SYM
fis-1238	100	8			NOUN
fis-1238	100	9			SYM
fis-1238	100	10			NOUN
fis-1238	100	11	2	2	ADJ
fis-1238	100	12	2	2	NUM
fis-1238	100	13	2	2	NUM
fis-1238	100	14	2	2	NUM
fis-1238	100	15	2	2	NUM
fis-1238	100	16	2	2	NUM
fis-1238	100	17	1,1	1,1	NUM
fis-1238	100	18	1,2	1,2	NUM
fis-1238	100	19	2,1	2,1	NUM
fis-1238	100	20	2,2	2,2	NUM
fis-1238	100	21	1	1	NUM
fis-1238	100	22	2	2	NUM
fis-1238	100	23	3	3	NUM
fis-1238	100	24	4=	4=	NUM
fis-1238	100	25	,	,	PUNCT
fis-1238	100	26	=	=	SYM
fis-1238	100	27	t	t	PROPN
fis-1238	100	28			PROPN
fis-1238	100	29			PROPN
fis-1238	100	30			PROPN
fis-1238	100	31			PROPN
fis-1238	100	32			PROPN
fis-1238	100	33			PROPN
fis-1238	100	34			PROPN
fis-1238	100	35			PROPN
fis-1238	100	36			NOUN
fis-1238	100	37			NOUN
fis-1238	100	38			NOUN
fis-1238	100	39			PROPN
fis-1238	100	40	γ	γ	NOUN
fis-1238	100	41	x	x	NOUN
fis-1238	100	42	,	,	PUNCT
fis-1238	100	43	x	x	X
fis-1238	100	44	λ	λ	NOUN
fis-1238	100	45	x	x	PUNCT
fis-1238	100	46	x	x	PUNCT
fis-1238	100	47	x	x	PUNCT
fis-1238	100	48	x	x	SYM
fis-1238	100	49	x	x	SYM
fis-1238	100	50	(	(	PUNCT
fis-1238	100	51	18	18	NUM
fis-1238	100	52	)	)	PUNCT
fis-1238	100	53			NOUN
fis-1238	100	54	2	2	NOUN
fis-1238	100	55	i	i	NOUN
fis-1238	100	56	x	x	X
fis-1238	100	57	,	,	PUNCT
fis-1238	100	58	=	=	NOUN
fis-1238	100	59	1	1	NUM
fis-1238	100	60	,	,	PUNCT
fis-1238	100	61	..	..	PUNCT
fis-1238	100	62	,	,	PUNCT
fis-1238	100	63	4,i	4,i	PRON
fis-1238	100	64	being	be	AUX
fis-1238	100	65	periodic	periodic	ADJ
fis-1238	100	66	functions	function	NOUN
fis-1238	100	67	evaluated	evaluate	VERB
fis-1238	100	68	in	in	ADP
fis-1238	100	69	the	the	DET
fis-1238	100	70	uc	uc	PROPN
fis-1238	100	71	when	when	SCONJ
fis-1238	100	72	1	1	NUM
fis-1238	100	73	0k	0k	PRON
fis-1238	100	74			NOUN
fis-1238	100	75	and	and	CCONJ
fis-1238	100	76	2	2	NUM
fis-1238	100	77	0k	0k	NUM
fis-1238	100	78			NOUN
fis-1238	100	79	.	.	PUNCT
fis-1238	101	1	finally	finally	ADV
fis-1238	101	2	,	,	PUNCT
fis-1238	101	3	when	when	SCONJ
fis-1238	101	4	the	the	DET
fis-1238	101	5	component	component	NOUN
fis-1238	101	6			PROPN
fis-1238	101	7	is	be	AUX
fis-1238	101	8	also	also	ADV
fis-1238	101	9	taken	take	VERB
fis-1238	101	10	into	into	ADP
fis-1238	101	11	account	account	NOUN
fis-1238	101	12	,	,	PUNCT
fis-1238	101	13	it	it	PRON
fis-1238	101	14	results	result	VERB
fis-1238	101	15	that	that	SCONJ
fis-1238	101	16	:	:	PUNCT
fis-1238	101	17			ADJ
fis-1238	101	18			NOUN
fis-1238	102	1			SYM
fis-1238	102	2			NOUN
fis-1238	102	3			SYM
fis-1238	102	4			NOUN
fis-1238	102	5			SYM
fis-1238	102	6			NOUN
fis-1238	102	7			SYM
fis-1238	102	8			NOUN
fis-1238	102	9			SYM
fis-1238	102	10			NOUN
fis-1238	102	11	1	1	NOUN
fis-1238	102	12	2	2	NUM
fis-1238	102	13	31	31	NUM
fis-1238	102	14	2	2	NUM
fis-1238	102	15	,	,	PUNCT
fis-1238	102	16	=	=	PRON
fis-1238	102	17	,	,	PUNCT
fis-1238	102	18	,	,	PUNCT
fis-1238	102	19	,	,	PUNCT
fis-1238	102	20	.	.	PUNCT
fis-1238	103	1	u	u	ADJ
fis-1238	103	2	x	x	PUNCT
fis-1238	103	3	x	x	PUNCT
fis-1238	103	4	λ	λ	X
fis-1238	103	5	x	x	X
fis-1238	103	6	γ	γ	X
fis-1238	103	7	x	x	SYM
fis-1238	103	8	x	x	SYM
fis-1238	103	9	λ	λ	X
fis-1238	103	10	x	x	X
fis-1238	103	11	γ	γ	X
fis-1238	103	12	x	x	SYM
fis-1238	103	13	x	x	SYM
fis-1238	103	14	r	r	NOUN
fis-1238	103	15	x	x	SYM
fis-1238	103	16	x	x	X
fis-1238	103	17	(	(	PUNCT
fis-1238	103	18	19	19	NUM
fis-1238	103	19	)	)	PUNCT
fis-1238	103	20	the	the	DET
fis-1238	103	21	field	field	NOUN
fis-1238	103	22			NOUN
fis-1238	103	23	3	3	ADJ
fis-1238	103	24	r	r	NOUN
fis-1238	103	25	x	x	NOUN
fis-1238	103	26	,	,	PUNCT
fis-1238	103	27	x	x	PRON
fis-1238	103	28	is	be	AUX
fis-1238	103	29	written	write	VERB
fis-1238	103	30	as	as	ADP
fis-1238	103	31	the	the	DET
fis-1238	103	32	product	product	NOUN
fis-1238	103	33	of	of	ADP
fis-1238	103	34	unknown	unknown	ADJ
fis-1238	103	35	functions	function	NOUN
fis-1238	103	36	times	time	VERB
fis-1238	103	37	the	the	DET
fis-1238	103	38	relevant	relevant	ADJ
fis-1238	103	39	and	and	CCONJ
fis-1238	103	40	nonvanishing	nonvanishe	VERB
fis-1238	103	41	components	component	NOUN
fis-1238	103	42	of	of	ADP
fis-1238	103	43	the	the	DET
fis-1238	103	44	first	first	ADJ
fis-1238	103	45	gradient	gradient	NOUN
fis-1238	103	46	of	of	ADP
fis-1238	103	47			NOUN
fis-1238	103	48	2	2	NOUN
fis-1238	103	49	γ	γ	X
fis-1238	103	50	x	x	PROPN
fis-1238	103	51	,	,	PUNCT
fis-1238	103	52	x	x	INTJ
fis-1238	103	53	,	,	PUNCT
fis-1238	103	54	and	and	CCONJ
fis-1238	103	55	it	it	PRON
fis-1238	103	56	results	result	VERB
fis-1238	103	57	:	:	PUNCT
fis-1238	104	1			NOUN
fis-1238	104	2			SYM
fis-1238	104	3			NOUN
fis-1238	104	4			SYM
fis-1238	104	5			NOUN
fis-1238	104	6	33	33	PUNCT
fis-1238	105	1	3	3	NUM
fis-1238	105	2	=	=	SYM
fis-1238	105	3	r	r	NOUN
fis-1238	105	4	x	x	NOUN
fis-1238	105	5	,	,	PUNCT
fis-1238	105	6	x	x	X
fis-1238	105	7	λ	λ	NOUN
fis-1238	105	8	x	x	X
fis-1238	105	9	γ	γ	X
fis-1238	105	10	x	x	PROPN
fis-1238	105	11	,	,	PUNCT
fis-1238	105	12	x	x	X
fis-1238	105	13	(	(	PUNCT
fis-1238	105	14	20	20	NUM
fis-1238	105	15	)	)	PUNCT
fis-1238	105	16	with	with	ADP
fis-1238	105	17	m.l	m.l	PROPN
fis-1238	105	18	.	.	PUNCT
fis-1238	105	19	de	de	PROPN
fis-1238	105	20	bellis	bellis	PROPN
fis-1238	105	21	et	et	PROPN
fis-1238	105	22	alii	alii	PROPN
fis-1238	105	23	,	,	PUNCT
fis-1238	105	24	frattura	frattura	PROPN
fis-1238	105	25	ed	ed	PROPN
fis-1238	105	26	integrità	integrità	PROPN
fis-1238	105	27	strutturale	strutturale	PROPN
fis-1238	105	28	,	,	PUNCT
fis-1238	105	29	29	29	NUM
fis-1238	105	30	(	(	PUNCT
fis-1238	105	31	2014	2014	NUM
fis-1238	105	32	)	)	PUNCT
fis-1238	105	33	37	37	NUM
fis-1238	105	34	-	-	SYM
fis-1238	105	35	48	48	NUM
fis-1238	105	36	;	;	PUNCT
fis-1238	105	37	doi	doi	NOUN
fis-1238	105	38	:	:	PUNCT
fis-1238	105	39	10.3221	10.3221	NUM
fis-1238	105	40	/	/	SYM
fis-1238	105	41	igf	igf	PROPN
fis-1238	105	42	-	-	PUNCT
fis-1238	105	43	esis.29.05	esis.29.05	NOUN
fis-1238	105	44	42	42	NUM
fis-1238	105	45			NOUN
fis-1238	105	46			PUNCT
fis-1238	105	47			PROPN
fis-1238	105	48			PROPN
fis-1238	105	49			NOUN
fis-1238	105	50			SYM
fis-1238	105	51			NOUN
fis-1238	105	52			SYM
fis-1238	105	53			NOUN
fis-1238	105	54			SYM
fis-1238	105	55			NOUN
fis-1238	105	56	3	3	ADJ
fis-1238	105	57	3	3	NUM
fis-1238	105	58	3	3	NUM
fis-1238	105	59	3	3	NUM
fis-1238	105	60	3	3	NUM
fis-1238	105	61	1,12	1,12	NUM
fis-1238	105	62	2,12	2,12	NUM
fis-1238	105	63	12,12	12,12	NUM
fis-1238	105	64	1	1	NUM
fis-1238	105	65	2	2	NUM
fis-1238	105	66	3	3	NUM
fis-1238	105	67	,	,	PUNCT
fis-1238	105	68	=	=	PRON
fis-1238	105	69	,	,	PUNCT
fis-1238	105	70	=	=	SYM
fis-1238	105	71			PROPN
fis-1238	105	72			PROPN
fis-1238	105	73			PROPN
fis-1238	105	74			PROPN
fis-1238	105	75			PROPN
fis-1238	105	76			PROPN
fis-1238	105	77			PROPN
fis-1238	105	78			NOUN
fis-1238	105	79			PROPN
fis-1238	105	80			PROPN
fis-1238	105	81	t	t	PROPN
fis-1238	105	82	γ	γ	X
fis-1238	105	83	x	x	PUNCT
fis-1238	105	84	x	x	PUNCT
fis-1238	105	85	λ	λ	X
fis-1238	105	86	x	x	PUNCT
fis-1238	105	87	x	x	PUNCT
fis-1238	105	88	x	x	SYM
fis-1238	105	89	x	x	X
fis-1238	105	90	(	(	PUNCT
fis-1238	105	91	21	21	NUM
fis-1238	105	92	)	)	PUNCT
fis-1238	105	93			NOUN
fis-1238	105	94	3	3	ADJ
fis-1238	105	95	i	i	NOUN
fis-1238	105	96	x	x	X
fis-1238	105	97	,	,	PUNCT
fis-1238	105	98	=	=	NOUN
fis-1238	105	99	1	1	NUM
fis-1238	105	100	,	,	PUNCT
fis-1238	105	101	..	..	PUNCT
fis-1238	105	102	,	,	PUNCT
fis-1238	105	103	3i	3i	NOUN
fis-1238	105	104	,	,	PUNCT
fis-1238	105	105	being	be	AUX
fis-1238	105	106	periodic	periodic	ADJ
fis-1238	105	107	functions	function	NOUN
fis-1238	105	108	evaluated	evaluate	VERB
fis-1238	105	109	in	in	ADP
fis-1238	105	110	the	the	DET
fis-1238	105	111	uc	uc	NOUN
fis-1238	105	112	when	when	SCONJ
fis-1238	105	113	0	0	PROPN
fis-1238	105	114			PROPN
fis-1238	105	115	.	.	PUNCT
fis-1238	105	116	procedure	procedure	NOUN
fis-1238	105	117	c	c	NOUN
fis-1238	105	118	:	:	PUNCT
fis-1238	105	119	analysis	analysis	NOUN
fis-1238	105	120	of	of	ADP
fis-1238	105	121	the	the	DET
fis-1238	105	122	perturbation	perturbation	NOUN
fis-1238	105	123	field	field	NOUN
fis-1238	105	124	in	in	ADP
fis-1238	105	125	the	the	DET
fis-1238	105	126	rve	rve	NOUN
fis-1238	106	1	the	the	DET
fis-1238	106	2	characterization	characterization	NOUN
fis-1238	106	3	of	of	ADP
fis-1238	106	4	the	the	DET
fis-1238	106	5	perturbation	perturbation	NOUN
fis-1238	106	6	field	field	NOUN
fis-1238	106	7	u	u	NOUN
fis-1238	106	8	is	be	AUX
fis-1238	106	9	performed	perform	VERB
fis-1238	106	10	in	in	ADP
fis-1238	106	11	[	[	X
fis-1238	106	12	7	7	NUM
fis-1238	106	13	]	]	PUNCT
fis-1238	106	14	by	by	ADP
fis-1238	106	15	evaluating	evaluate	VERB
fis-1238	106	16	its	its	PRON
fis-1238	106	17	actual	actual	ADJ
fis-1238	106	18	distribution	distribution	NOUN
fis-1238	106	19	.	.	PUNCT
fis-1238	107	1	to	to	ADP
fis-1238	107	2	this	this	DET
fis-1238	107	3	end	end	NOUN
fis-1238	107	4	,	,	PUNCT
fis-1238	107	5	a	a	DET
fis-1238	107	6	rve	rve	NOUN
fis-1238	107	7	obtained	obtain	VERB
fis-1238	107	8	as	as	ADP
fis-1238	107	9	assemblage	assemblage	NOUN
fis-1238	107	10	of	of	ADP
fis-1238	107	11	a	a	DET
fis-1238	107	12	large	large	ADJ
fis-1238	107	13	number	number	NOUN
fis-1238	107	14	of	of	ADP
fis-1238	107	15	ucs	ucs	NOUN
fis-1238	107	16	for	for	ADP
fis-1238	107	17	a	a	DET
fis-1238	107	18	selected	select	VERB
fis-1238	107	19	two	two	NUM
fis-1238	107	20	-	-	PUNCT
fis-1238	107	21	phase	phase	NOUN
fis-1238	107	22	periodic	periodic	ADJ
fis-1238	107	23	composite	composite	ADJ
fis-1238	107	24	material	material	NOUN
fis-1238	107	25	is	be	AUX
fis-1238	107	26	considered	consider	VERB
fis-1238	107	27	and	and	CCONJ
fis-1238	107	28	remote	remote	VERB
fis-1238	107	29	fully	fully	ADV
fis-1238	107	30	displacement	displacement	ADJ
fis-1238	107	31	bcs	bc	NOUN
fis-1238	107	32	are	be	AUX
fis-1238	107	33	prescribed	prescribe	VERB
fis-1238	107	34	.	.	PUNCT
fis-1238	108	1	in	in	ADP
fis-1238	108	2	particular	particular	ADJ
fis-1238	108	3	,	,	PUNCT
fis-1238	108	4	the	the	DET
fis-1238	108	5	micropolar	micropolar	ADJ
fis-1238	108	6	deformation	deformation	NOUN
fis-1238	108	7	modes	mode	NOUN
fis-1238	108	8	are	be	AUX
fis-1238	108	9	imposed	impose	VERB
fis-1238	108	10	on	on	ADP
fis-1238	108	11	the	the	DET
fis-1238	108	12	boundary	boundary	NOUN
fis-1238	108	13	,	,	PUNCT
fis-1238	108	14	according	accord	VERB
fis-1238	108	15	to	to	ADP
fis-1238	108	16	the	the	DET
fis-1238	108	17	kinematic	kinematic	ADJ
fis-1238	108	18	map	map	NOUN
fis-1238	108	19	in	in	ADP
fis-1238	108	20	eq	eq	ADP
fis-1238	108	21	.	.	PUNCT
fis-1238	109	1	(	(	PUNCT
fis-1238	109	2	8)	8)	NUM
fis-1238	109	3	,	,	PUNCT
fis-1238	109	4	and	and	CCONJ
fis-1238	109	5	the	the	DET
fis-1238	109	6	rve	rve	PROPN
fis-1238	109	7	response	response	NOUN
fis-1238	109	8	is	be	AUX
fis-1238	109	9	evaluated	evaluate	VERB
fis-1238	109	10	by	by	ADP
fis-1238	109	11	finite	finite	ADJ
fis-1238	109	12	element	element	NOUN
fis-1238	109	13	method	method	NOUN
fis-1238	109	14	.	.	PUNCT
fis-1238	110	1	hence	hence	ADV
fis-1238	110	2	,	,	PUNCT
fis-1238	110	3	the	the	DET
fis-1238	110	4	distribution	distribution	NOUN
fis-1238	110	5	of	of	ADP
fis-1238	110	6	the	the	DET
fis-1238	110	7	perturbation	perturbation	NOUN
fis-1238	110	8	field	field	NOUN
fis-1238	110	9	arising	arise	VERB
fis-1238	110	10	in	in	ADP
fis-1238	110	11	the	the	DET
fis-1238	110	12	central	central	ADJ
fis-1238	110	13	uc	uc	PROPN
fis-1238	110	14	of	of	ADP
fis-1238	110	15	the	the	DET
fis-1238	110	16	rve	rve	PROPN
fis-1238	110	17	is	be	AUX
fis-1238	110	18	taken	take	VERB
fis-1238	110	19	as	as	ADP
fis-1238	110	20	the	the	DET
fis-1238	110	21	benchmark	benchmark	NOUN
fis-1238	110	22	.	.	PUNCT
fis-1238	111	1	thus	thus	ADV
fis-1238	111	2	,	,	PUNCT
fis-1238	111	3	the	the	DET
fis-1238	111	4	suitable	suitable	ADJ
fis-1238	111	5	bcs	bc	NOUN
fis-1238	111	6	to	to	PART
fis-1238	111	7	impose	impose	VERB
fis-1238	111	8	on	on	ADP
fis-1238	111	9	the	the	DET
fis-1238	111	10	single	single	ADJ
fis-1238	111	11	uc	uc	NOUN
fis-1238	111	12	are	be	AUX
fis-1238	111	13	derived	derive	VERB
fis-1238	111	14	,	,	PUNCT
fis-1238	111	15	in	in	ADP
fis-1238	111	16	order	order	NOUN
fis-1238	111	17	to	to	PART
fis-1238	111	18	reproduce	reproduce	VERB
fis-1238	111	19	,	,	PUNCT
fis-1238	111	20	with	with	ADP
fis-1238	111	21	a	a	DET
fis-1238	111	22	satisfactory	satisfactory	ADJ
fis-1238	111	23	level	level	NOUN
fis-1238	111	24	of	of	ADP
fis-1238	111	25	accuracy	accuracy	NOUN
fis-1238	111	26	,	,	PUNCT
fis-1238	111	27	the	the	DET
fis-1238	111	28	actual	actual	ADJ
fis-1238	111	29	distribution	distribution	NOUN
fis-1238	111	30	of	of	ADP
fis-1238	111	31	the	the	DET
fis-1238	111	32	perturbation	perturbation	NOUN
fis-1238	111	33	field	field	NOUN
fis-1238	111	34	.	.	PUNCT
fis-1238	112	1	some	some	DET
fis-1238	112	2	selected	select	VERB
fis-1238	112	3	two	two	NUM
fis-1238	112	4	-	-	PUNCT
fis-1238	112	5	phase	phase	NOUN
fis-1238	112	6	composite	composite	ADJ
fis-1238	112	7	materials	material	NOUN
fis-1238	112	8	,	,	PUNCT
fis-1238	112	9	characterized	characterize	VERB
fis-1238	112	10	by	by	ADP
fis-1238	112	11	material	material	NOUN
fis-1238	112	12	symmetries	symmetry	NOUN
fis-1238	112	13	,	,	PUNCT
fis-1238	112	14	ranging	range	VERB
fis-1238	112	15	from	from	ADP
fis-1238	112	16	cubic	cubic	ADJ
fis-1238	112	17	to	to	ADP
fis-1238	112	18	orthotropic	orthotropic	ADJ
fis-1238	112	19	,	,	PUNCT
fis-1238	112	20	are	be	AUX
fis-1238	112	21	analyzed	analyze	VERB
fis-1238	112	22	.	.	PUNCT
fis-1238	113	1	in	in	ADP
fis-1238	113	2	all	all	DET
fis-1238	113	3	the	the	DET
fis-1238	113	4	cases	case	NOUN
fis-1238	113	5	considered	consider	VERB
fis-1238	113	6	,	,	PUNCT
fis-1238	113	7	similar	similar	ADJ
fis-1238	113	8	distributions	distribution	NOUN
fis-1238	113	9	of	of	ADP
fis-1238	113	10	the	the	DET
fis-1238	113	11	perturbation	perturbation	NOUN
fis-1238	113	12	displacement	displacement	NOUN
fis-1238	113	13	fields	field	NOUN
fis-1238	113	14	on	on	ADP
fis-1238	113	15	the	the	DET
fis-1238	113	16	uc	uc	PROPN
fis-1238	113	17	boundary	boundary	ADJ
fis-1238	113	18	emerge	emerge	NOUN
fis-1238	113	19	.	.	PUNCT
fis-1238	114	1	differently	differently	ADV
fis-1238	114	2	from	from	ADP
fis-1238	114	3	the	the	DET
fis-1238	114	4	case	case	NOUN
fis-1238	114	5	of	of	ADP
fis-1238	114	6	the	the	DET
fis-1238	114	7	first	first	ADJ
fis-1238	114	8	order	order	NOUN
fis-1238	114	9	homogenization	homogenization	NOUN
fis-1238	114	10	procedure	procedure	NOUN
fis-1238	114	11	,	,	PUNCT
fis-1238	114	12	where	where	SCONJ
fis-1238	114	13	periodic	periodic	ADJ
fis-1238	114	14	bcs	bc	NOUN
fis-1238	114	15	are	be	AUX
fis-1238	114	16	suitably	suitably	ADV
fis-1238	114	17	adopted	adopt	VERB
fis-1238	114	18	,	,	PUNCT
fis-1238	114	19	in	in	ADP
fis-1238	114	20	the	the	DET
fis-1238	114	21	analyzed	analyze	VERB
fis-1238	114	22	cases	case	NOUN
fis-1238	114	23	more	more	ADV
fis-1238	114	24	complex	complex	ADJ
fis-1238	114	25	bcs	bc	NOUN
fis-1238	114	26	have	have	VERB
fis-1238	114	27	to	to	PART
fis-1238	114	28	be	be	AUX
fis-1238	114	29	considered	consider	VERB
fis-1238	114	30	,	,	PUNCT
fis-1238	114	31	which	which	PRON
fis-1238	114	32	are	be	AUX
fis-1238	114	33	different	different	ADJ
fis-1238	114	34	for	for	ADP
fis-1238	114	35	the	the	DET
fis-1238	114	36	two	two	NUM
fis-1238	114	37	components	component	NOUN
fis-1238	114	38	of	of	ADP
fis-1238	114	39	u	u	NOUN
fis-1238	114	40	.	.	PUNCT
fis-1238	115	1	in	in	ADP
fis-1238	115	2	fig	fig	NOUN
fis-1238	115	3	.	.	PUNCT
fis-1238	116	1	1	1	NUM
fis-1238	117	1	the	the	DET
fis-1238	117	2	derived	derive	VERB
fis-1238	117	3	bcs	bc	NOUN
fis-1238	117	4	are	be	AUX
fis-1238	117	5	summarized	summarize	VERB
fis-1238	117	6	.	.	PUNCT
fis-1238	118	1	in	in	ADP
fis-1238	118	2	the	the	DET
fis-1238	118	3	first	first	ADJ
fis-1238	118	4	row	row	NOUN
fis-1238	118	5	,	,	PUNCT
fis-1238	118	6	the	the	DET
fis-1238	118	7	applied	applied	ADJ
fis-1238	118	8	cosserat	cosserat	NOUN
fis-1238	118	9	macroscopic	macroscopic	ADJ
fis-1238	118	10	deformation	deformation	NOUN
fis-1238	118	11	components	component	NOUN
fis-1238	118	12	are	be	AUX
fis-1238	118	13	reported	report	VERB
fis-1238	118	14	;	;	PUNCT
fis-1238	118	15	in	in	ADP
fis-1238	118	16	the	the	DET
fis-1238	118	17	second	second	ADJ
fis-1238	118	18	row	row	NOUN
fis-1238	118	19	the	the	DET
fis-1238	118	20	bcs	bcs	NOUN
fis-1238	118	21	for	for	ADP
fis-1238	118	22	the	the	DET
fis-1238	118	23	component	component	NOUN
fis-1238	118	24	1u	1u	NOUN
fis-1238	118	25	along	along	ADP
fis-1238	118	26	the	the	DET
fis-1238	118	27	horizontal	horizontal	ADJ
fis-1238	118	28	and	and	CCONJ
fis-1238	118	29	vertical	vertical	ADJ
fis-1238	118	30	edges	edge	NOUN
fis-1238	118	31	of	of	ADP
fis-1238	118	32	the	the	DET
fis-1238	118	33	uc	uc	PROPN
fis-1238	118	34	are	be	AUX
fis-1238	118	35	schematically	schematically	NOUN
fis-1238	118	36	reported	report	VERB
fis-1238	118	37	,	,	PUNCT
fis-1238	118	38	while	while	SCONJ
fis-1238	118	39	in	in	ADP
fis-1238	118	40	the	the	DET
fis-1238	118	41	third	third	ADJ
fis-1238	118	42	row	row	NOUN
fis-1238	118	43	those	those	PRON
fis-1238	118	44	for	for	ADP
fis-1238	118	45	the	the	DET
fis-1238	118	46	displacement	displacement	ADJ
fis-1238	118	47	component	component	NOUN
fis-1238	118	48	2u	2u	NUM
fis-1238	118	49	are	be	AUX
fis-1238	118	50	shown	show	VERB
fis-1238	118	51	.	.	PUNCT
fis-1238	119	1	the	the	DET
fis-1238	119	2	symbol	symbol	NOUN
fis-1238	119	3	“	"	PUNCT
fis-1238	119	4	p	p	NOUN
fis-1238	119	5	”	"	PUNCT
fis-1238	119	6	indicates	indicate	VERB
fis-1238	119	7	periodic	periodic	ADJ
fis-1238	119	8	bcs	bc	NOUN
fis-1238	119	9	,	,	PUNCT
fis-1238	119	10	see	see	VERB
fis-1238	119	11	eq	eq	ADP
fis-1238	119	12	.	.	PROPN
fis-1238	119	13	12	12	NUM
fis-1238	119	14	;	;	PUNCT
fis-1238	119	15	“	"	PUNCT
fis-1238	119	16	s	s	X
fis-1238	119	17	”	"	PUNCT
fis-1238	119	18	refers	refer	VERB
fis-1238	119	19	to	to	ADP
fis-1238	119	20	skew	skew	VERB
fis-1238	119	21	-	-	PUNCT
fis-1238	119	22	periodic	periodic	ADJ
fis-1238	119	23	bcs	bc	NOUN
fis-1238	119	24	,	,	PUNCT
fis-1238	120	1	that	that	PRON
fis-1238	120	2	is	be	AUX
fis-1238	120	3	:	:	PUNCT
fis-1238	120	4			NOUN
fis-1238	120	5			SYM
fis-1238	120	6			NOUN
fis-1238	121	1			PROPN
fis-1238	121	2			ADJ
fis-1238	121	3			NOUN
fis-1238	121	4			NOUN
fis-1238	121	5			SYM
fis-1238	121	6			NOUN
fis-1238	121	7			PROPN
fis-1238	121	8			ADJ
fis-1238	121	9			NOUN
fis-1238	121	10	1	1	NUM
fis-1238	121	11	2	2	NUM
fis-1238	121	12	1	1	NUM
fis-1238	121	13	2	2	NUM
fis-1238	121	14	2	2	NUM
fis-1238	121	15	2	2	NUM
fis-1238	121	16	2	2	NUM
fis-1238	121	17	1	1	NUM
fis-1238	121	18	2	2	NUM
fis-1238	121	19	1	1	NUM
fis-1238	121	20	2	2	NUM
fis-1238	121	21	1	1	NUM
fis-1238	121	22	1	1	NUM
fis-1238	121	23	1	1	NUM
fis-1238	121	24	,	,	PUNCT
fis-1238	121	25	,	,	PUNCT
fis-1238	121	26	,	,	PUNCT
fis-1238	121	27	,	,	PUNCT
fis-1238	121	28	,	,	PUNCT
fis-1238	121	29	,	,	PUNCT
fis-1238	121	30	,	,	PUNCT
fis-1238	121	31	,	,	PUNCT
fis-1238	122	1	a	a	DET
fis-1238	122	2	x	x	X
fis-1238	122	3	a	a	X
fis-1238	122	4	x	x	X
fis-1238	122	5	x	x	X
fis-1238	122	6	a	a	PRON
fis-1238	122	7	a	a	NOUN
fis-1238	122	8	x	x	SYM
fis-1238	122	9	a	a	DET
fis-1238	122	10	x	x	SYM
fis-1238	122	11	a	a	X
fis-1238	122	12	x	x	NOUN
fis-1238	122	13	a	a	DET
fis-1238	122	14	a	a	DET
fis-1238	122	15			ADJ
fis-1238	122	16			PROPN
fis-1238	122	17			PROPN
fis-1238	122	18			VERB
fis-1238	122	19			NOUN
fis-1238	122	20			PROPN
fis-1238	122	21			PROPN
fis-1238	122	22			PROPN
fis-1238	122	23			PROPN
fis-1238	122	24			VERB
fis-1238	122	25			NOUN
fis-1238	122	26			PROPN
fis-1238	122	27	u	u	NOUN
fis-1238	122	28	u	u	PROPN
fis-1238	122	29	u	u	X
fis-1238	122	30	u	u	PROPN
fis-1238	122	31			X
fis-1238	122	32			X
fis-1238	122	33			PROPN
fis-1238	122	34			NOUN
fis-1238	122	35	(	(	PUNCT
fis-1238	122	36	22	22	NUM
fis-1238	122	37	)	)	PUNCT
fis-1238	122	38	finally	finally	ADV
fis-1238	122	39	,	,	PUNCT
fis-1238	122	40	“	"	PUNCT
fis-1238	122	41	0	0	X
fis-1238	122	42	”	"	PUNCT
fis-1238	122	43	indicates	indicate	VERB
fis-1238	122	44	zero	zero	NUM
fis-1238	122	45	perturbation	perturbation	NOUN
fis-1238	122	46	displacement	displacement	NOUN
fis-1238	122	47	bcs	bc	NOUN
fis-1238	122	48	.	.	PUNCT
fis-1238	123	1	figure	figure	NOUN
fis-1238	123	2	1	1	NUM
fis-1238	123	3	:	:	PUNCT
fis-1238	123	4	boundary	boundary	ADJ
fis-1238	123	5	conditions	condition	NOUN
fis-1238	123	6	to	to	PART
fis-1238	123	7	impose	impose	VERB
fis-1238	123	8	on	on	ADP
fis-1238	123	9	the	the	DET
fis-1238	123	10	uc	uc	PROPN
fis-1238	123	11	to	to	PART
fis-1238	123	12	evaluate	evaluate	VERB
fis-1238	123	13	the	the	DET
fis-1238	123	14	perturbation	perturbation	NOUN
fis-1238	123	15	fields	field	NOUN
fis-1238	123	16	,	,	PUNCT
fis-1238	123	17	derived	derive	VERB
fis-1238	123	18	in	in	ADP
fis-1238	123	19	[	[	X
fis-1238	123	20	7	7	NUM
fis-1238	123	21	]	]	PUNCT
fis-1238	123	22	.	.	PUNCT
fis-1238	124	1	comparison	comparison	NOUN
fis-1238	124	2	between	between	ADP
fis-1238	124	3	procedures	procedure	NOUN
fis-1238	124	4	a	a	PRON
fis-1238	124	5	,	,	PUNCT
fis-1238	124	6	b	b	NOUN
fis-1238	124	7	and	and	CCONJ
fis-1238	124	8	c	c	X
fis-1238	124	9	the	the	DET
fis-1238	124	10	approaches	approach	NOUN
fis-1238	124	11	presented	present	VERB
fis-1238	124	12	were	be	AUX
fis-1238	124	13	compared	compare	VERB
fis-1238	124	14	by	by	ADP
fis-1238	124	15	carrying	carry	VERB
fis-1238	124	16	out	out	ADP
fis-1238	124	17	some	some	DET
fis-1238	124	18	numerical	numerical	ADJ
fis-1238	124	19	tests	test	NOUN
fis-1238	124	20	.	.	PUNCT
fis-1238	125	1	this	this	DET
fis-1238	125	2	subsection	subsection	NOUN
fis-1238	125	3	is	be	AUX
fis-1238	125	4	devoted	devote	VERB
fis-1238	125	5	to	to	ADP
fis-1238	125	6	a	a	DET
fis-1238	125	7	qualitative	qualitative	ADJ
fis-1238	125	8	discussion	discussion	NOUN
fis-1238	125	9	of	of	ADP
fis-1238	125	10	the	the	DET
fis-1238	125	11	results	result	NOUN
fis-1238	125	12	obtained	obtain	VERB
fis-1238	125	13	that	that	PRON
fis-1238	125	14	are	be	AUX
fis-1238	125	15	reported	report	VERB
fis-1238	125	16	in	in	ADP
fis-1238	125	17	detail	detail	NOUN
fis-1238	125	18	in	in	ADP
fis-1238	125	19	[	[	X
fis-1238	125	20	11	11	NUM
fis-1238	125	21	]	]	PUNCT
fis-1238	125	22	.	.	PUNCT
fis-1238	126	1	reference	reference	NOUN
fis-1238	126	2	is	be	AUX
fis-1238	126	3	made	make	VERB
fis-1238	126	4	to	to	ADP
fis-1238	126	5	a	a	DET
fis-1238	126	6	specific	specific	ADJ
fis-1238	126	7	two	two	NUM
fis-1238	126	8	-	-	PUNCT
fis-1238	126	9	phase	phase	NOUN
fis-1238	126	10	composite	composite	ADJ
fis-1238	126	11	material	material	NOUN
fis-1238	126	12	,	,	PUNCT
fis-1238	126	13	characterized	characterize	VERB
fis-1238	126	14	by	by	ADP
fis-1238	126	15	cubic	cubic	ADJ
fis-1238	126	16	symmetry	symmetry	NOUN
fis-1238	126	17	,	,	PUNCT
fis-1238	126	18	whose	whose	DET
fis-1238	126	19	texture	texture	NOUN
fis-1238	126	20	is	be	AUX
fis-1238	126	21	made	make	VERB
fis-1238	126	22	from	from	ADP
fis-1238	126	23	a	a	DET
fis-1238	126	24	soft	soft	ADJ
fis-1238	126	25	matrix	matrix	NOUN
fis-1238	126	26	with	with	ADP
fis-1238	126	27	stiff	stiff	ADJ
fis-1238	126	28	square	square	ADJ
fis-1238	126	29	inclusions	inclusion	NOUN
fis-1238	126	30	,	,	PUNCT
fis-1238	126	31	both	both	CCONJ
fis-1238	126	32	isotropic	isotropic	NOUN
fis-1238	126	33	and	and	CCONJ
fis-1238	126	34	regularly	regularly	ADV
fis-1238	126	35	spaced	space	VERB
fis-1238	126	36	.	.	PUNCT
fis-1238	127	1	the	the	DET
fis-1238	127	2	volume	volume	NOUN
fis-1238	127	3	fraction	fraction	NOUN
fis-1238	127	4	,	,	PUNCT
fis-1238	127	5	f	f	PROPN
fis-1238	127	6	defined	define	VERB
fis-1238	127	7	as	as	ADP
fis-1238	127	8	the	the	DET
fis-1238	127	9	ratio	ratio	NOUN
fis-1238	127	10	between	between	ADP
fis-1238	127	11	the	the	DET
fis-1238	127	12	area	area	NOUN
fis-1238	127	13	of	of	ADP
fis-1238	127	14	the	the	DET
fis-1238	127	15	inclusions	inclusion	NOUN
fis-1238	127	16	and	and	CCONJ
fis-1238	127	17	the	the	DET
fis-1238	127	18	total	total	ADJ
fis-1238	127	19	area	area	NOUN
fis-1238	127	20	of	of	ADP
fis-1238	127	21	the	the	DET
fis-1238	127	22	uc	uc	PROPN
fis-1238	127	23	,	,	PUNCT
fis-1238	127	24	is	be	AUX
fis-1238	127	25	set	set	VERB
fis-1238	127	26	equal	equal	ADJ
fis-1238	127	27	to	to	ADP
fis-1238	127	28	36	36	NUM
fis-1238	127	29	%	%	NOUN
fis-1238	127	30	.	.	PUNCT
fis-1238	128	1	as	as	ADP
fis-1238	128	2	reference	reference	NOUN
fis-1238	128	3	solution	solution	NOUN
fis-1238	128	4	the	the	DET
fis-1238	128	5	distribution	distribution	NOUN
fis-1238	128	6	of	of	ADP
fis-1238	128	7	the	the	DET
fis-1238	128	8	perturbation	perturbation	NOUN
fis-1238	128	9	field	field	NOUN
fis-1238	128	10	arising	arise	VERB
fis-1238	128	11	in	in	ADP
fis-1238	128	12	the	the	DET
fis-1238	128	13	central	central	ADJ
fis-1238	128	14	uc	uc	NOUN
fis-1238	128	15	of	of	ADP
fis-1238	128	16	a	a	DET
fis-1238	128	17	sufficiently	sufficiently	ADV
fis-1238	128	18	large	large	ADJ
fis-1238	128	19	rve	rve	NOUN
fis-1238	128	20	,	,	PUNCT
fis-1238	128	21	undergoing	undergo	VERB
fis-1238	128	22	remote	remote	ADJ
fis-1238	128	23	fully	fully	ADV
fis-1238	128	24	displacement	displacement	ADJ
fis-1238	128	25	boundary	boundary	ADJ
fis-1238	128	26	conditions	condition	NOUN
fis-1238	128	27	,	,	PUNCT
fis-1238	128	28	is	be	AUX
fis-1238	128	29	considered	consider	VERB
fis-1238	128	30	.	.	PUNCT
fis-1238	129	1	the	the	DET
fis-1238	129	2	three	three	NUM
fis-1238	129	3	procedures	procedure	NOUN
fis-1238	129	4	lead	lead	VERB
fis-1238	129	5	to	to	ADP
fis-1238	129	6	the	the	DET
fis-1238	129	7	same	same	ADJ
fis-1238	129	8	correct	correct	ADJ
fis-1238	129	9	results	result	NOUN
fis-1238	129	10	,	,	PUNCT
fis-1238	129	11	if	if	SCONJ
fis-1238	129	12	the	the	DET
fis-1238	129	13	classical	classical	ADJ
fis-1238	129	14	macroscopic	macroscopic	ADJ
fis-1238	129	15	strain	strain	NOUN
fis-1238	129	16	components	component	NOUN
fis-1238	129	17	1,e	1,e	NUM
fis-1238	129	18	2e	2e	NOUN
fis-1238	129	19	and	and	CCONJ
fis-1238	129	20	12	12	NUM
fis-1238	129	21	are	be	AUX
fis-1238	129	22	activated	activate	VERB
fis-1238	129	23	.	.	PUNCT
fis-1238	130	1	for	for	ADP
fis-1238	130	2	the	the	DET
fis-1238	130	3	components	component	NOUN
fis-1238	130	4	1k	1k	NOUN
fis-1238	130	5	,	,	PUNCT
fis-1238	130	6	2k	2k	PROPN
fis-1238	130	7	and	and	CCONJ
fis-1238	130	8	,	,	PUNCT
fis-1238	130	9			NUM
fis-1238	130	10	different	different	ADJ
fis-1238	130	11	considerations	consideration	NOUN
fis-1238	130	12	apply	apply	VERB
fis-1238	130	13	.	.	PUNCT
fis-1238	131	1	for	for	ADP
fis-1238	131	2	both	both	PRON
fis-1238	131	3	components	component	NOUN
fis-1238	131	4	1k	1k	NOUN
fis-1238	131	5	and	and	CCONJ
fis-1238	131	6			ADJ
fis-1238	131	7	procedure	procedure	NOUN
fis-1238	131	8	b	b	NOUN
fis-1238	131	9	provides	provide	VERB
fis-1238	131	10	the	the	DET
fis-1238	131	11	best	good	ADJ
fis-1238	131	12	estimate	estimate	NOUN
fis-1238	131	13	of	of	ADP
fis-1238	131	14	the	the	DET
fis-1238	131	15	perturbation	perturbation	NOUN
fis-1238	131	16	fields	field	NOUN
fis-1238	131	17	.	.	PUNCT
fis-1238	132	1	in	in	ADP
fis-1238	132	2	the	the	DET
fis-1238	132	3	case	case	NOUN
fis-1238	132	4	of	of	ADP
fis-1238	132	5	1k	1k	NUM
fis-1238	132	6	only	only	ADV
fis-1238	132	7	the	the	DET
fis-1238	132	8	vertical	vertical	ADJ
fis-1238	132	9	component	component	NOUN
fis-1238	132	10	of	of	ADP
fis-1238	132	11	the	the	DET
fis-1238	132	12	perturbation	perturbation	NOUN
fis-1238	132	13	field	field	NOUN
fis-1238	132	14	,	,	PUNCT
fis-1238	132	15	evaluated	evaluate	VERB
fis-1238	132	16	along	along	ADP
fis-1238	132	17	the	the	DET
fis-1238	132	18	horizontal	horizontal	ADJ
fis-1238	132	19	edges	edge	NOUN
fis-1238	132	20	of	of	ADP
fis-1238	132	21	the	the	DET
fis-1238	132	22	uc	uc	PROPN
fis-1238	132	23	,	,	PUNCT
fis-1238	132	24	slightly	slightly	ADV
fis-1238	132	25	differs	differ	VERB
fis-1238	132	26	from	from	ADP
fis-1238	132	27	the	the	DET
fis-1238	132	28	referential	referential	ADJ
fis-1238	132	29	solution	solution	NOUN
fis-1238	132	30	,	,	PUNCT
fis-1238	132	31	while	while	SCONJ
fis-1238	132	32	in	in	ADP
fis-1238	132	33	the	the	DET
fis-1238	132	34	case	case	NOUN
fis-1238	132	35	of	of	ADP
fis-1238	132	36			PROPN
fis-1238	132	37	a	a	DET
fis-1238	132	38	very	very	ADV
fis-1238	132	39	good	good	ADJ
fis-1238	132	40	approximation	approximation	NOUN
fis-1238	132	41	is	be	AUX
fis-1238	132	42	guaranteed	guarantee	VERB
fis-1238	132	43	anywhere	anywhere	ADV
fis-1238	132	44	on	on	ADP
fis-1238	132	45	the	the	DET
fis-1238	132	46	edges	edge	NOUN
fis-1238	132	47	.	.	PUNCT
fis-1238	133	1	m.l	m.l	PROPN
fis-1238	133	2	.	.	PUNCT
fis-1238	133	3	de	de	PROPN
fis-1238	133	4	bellis	bellis	PROPN
fis-1238	133	5	et	et	PROPN
fis-1238	133	6	alii	alii	PROPN
fis-1238	133	7	,	,	PUNCT
fis-1238	133	8	frattura	frattura	PROPN
fis-1238	133	9	ed	ed	PROPN
fis-1238	133	10	integrità	integrità	PROPN
fis-1238	133	11	strutturale	strutturale	PROPN
fis-1238	133	12	,	,	PUNCT
fis-1238	133	13	29	29	NUM
fis-1238	133	14	(	(	PUNCT
fis-1238	133	15	2014	2014	NUM
fis-1238	133	16	)	)	PUNCT
fis-1238	133	17	37	37	NUM
fis-1238	133	18	-	-	SYM
fis-1238	133	19	48	48	NUM
fis-1238	133	20	;	;	PUNCT
fis-1238	133	21	doi	doi	NOUN
fis-1238	133	22	:	:	PUNCT
fis-1238	133	23	10.3221	10.3221	NUM
fis-1238	133	24	/	/	SYM
fis-1238	133	25	igf	igf	PROPN
fis-1238	133	26	-	-	PUNCT
fis-1238	133	27	esis.29.05	esis.29.05	NOUN
fis-1238	133	28	43	43	NUM
fis-1238	133	29	to	to	PART
fis-1238	133	30	be	be	AUX
fis-1238	133	31	noted	note	VERB
fis-1238	133	32	is	be	AUX
fis-1238	133	33	that	that	SCONJ
fis-1238	133	34	the	the	DET
fis-1238	133	35	solution	solution	NOUN
fis-1238	133	36	corresponding	correspond	VERB
fis-1238	133	37	to	to	ADP
fis-1238	133	38	the	the	DET
fis-1238	133	39	curvature	curvature	NOUN
fis-1238	133	40	2k	2k	NOUN
fis-1238	133	41	can	can	AUX
fis-1238	133	42	be	be	AUX
fis-1238	133	43	obtained	obtain	VERB
fis-1238	133	44	by	by	ADP
fis-1238	133	45	rotating	rotate	VERB
fis-1238	133	46	that	that	PRON
fis-1238	133	47	evaluated	evaluate	VERB
fis-1238	133	48	for	for	ADP
fis-1238	133	49	1k	1k	PRON
fis-1238	133	50	.	.	PUNCT
fis-1238	134	1	adopting	adopt	VERB
fis-1238	134	2	procedure	procedure	NOUN
fis-1238	134	3	a	a	PRON
fis-1238	134	4	,	,	PUNCT
fis-1238	134	5	the	the	DET
fis-1238	134	6	field	field	NOUN
fis-1238	134	7	u	u	PUNCT
fis-1238	134	8	differs	differ	VERB
fis-1238	134	9	qualitatively	qualitatively	ADV
fis-1238	134	10	from	from	ADP
fis-1238	134	11	the	the	DET
fis-1238	134	12	actual	actual	ADJ
fis-1238	134	13	solution	solution	NOUN
fis-1238	134	14	and	and	CCONJ
fis-1238	134	15	it	it	PRON
fis-1238	134	16	can	can	AUX
fis-1238	134	17	be	be	AUX
fis-1238	134	18	concluded	conclude	VERB
fis-1238	134	19	that	that	SCONJ
fis-1238	134	20	this	this	DET
fis-1238	134	21	procedure	procedure	NOUN
fis-1238	134	22	leads	lead	VERB
fis-1238	134	23	to	to	ADP
fis-1238	134	24	grossly	grossly	ADV
fis-1238	134	25	erroneous	erroneous	ADJ
fis-1238	134	26	results	result	NOUN
fis-1238	134	27	.	.	PUNCT
fis-1238	135	1	finally	finally	ADV
fis-1238	135	2	,	,	PUNCT
fis-1238	135	3	the	the	DET
fis-1238	135	4	results	result	NOUN
fis-1238	135	5	obtained	obtain	VERB
fis-1238	135	6	by	by	ADP
fis-1238	135	7	applying	apply	VERB
fis-1238	135	8	procedure	procedure	NOUN
fis-1238	135	9	c	c	NOUN
fis-1238	135	10	are	be	AUX
fis-1238	135	11	close	close	ADJ
fis-1238	135	12	to	to	ADP
fis-1238	135	13	those	those	PRON
fis-1238	135	14	evaluated	evaluate	VERB
fis-1238	135	15	with	with	ADP
fis-1238	135	16	procedure	procedure	NOUN
fis-1238	135	17	b	b	NOUN
fis-1238	135	18	,	,	PUNCT
fis-1238	135	19	although	although	SCONJ
fis-1238	135	20	the	the	DET
fis-1238	135	21	vertical	vertical	ADJ
fis-1238	135	22	perturbation	perturbation	NOUN
fis-1238	135	23	components	component	NOUN
fis-1238	135	24	along	along	ADP
fis-1238	135	25	the	the	DET
fis-1238	135	26	horizontal	horizontal	ADJ
fis-1238	135	27	lines	line	NOUN
fis-1238	135	28	in	in	ADP
fis-1238	135	29	presence	presence	NOUN
fis-1238	135	30	of	of	ADP
fis-1238	135	31	1k	1k	NUM
fis-1238	135	32	and	and	CCONJ
fis-1238	135	33			NOUN
fis-1238	135	34	are	be	AUX
fis-1238	135	35	worse	bad	ADJ
fis-1238	135	36	approximated	approximate	VERB
fis-1238	135	37	.	.	PUNCT
fis-1238	136	1	identification	identification	NOUN
fis-1238	136	2	procedure	procedure	NOUN
fis-1238	136	3	:	:	PUNCT
fis-1238	136	4	hill	hill	PROPN
fis-1238	136	5	-	-	PUNCT
fis-1238	136	6	mandel	mandel	PROPN
fis-1238	136	7	macro	macro	NOUN
fis-1238	136	8	-	-	NOUN
fis-1238	136	9	homogeneity	homogeneity	NOUN
fis-1238	136	10	condition	condition	NOUN
fis-1238	136	11	he	he	PRON
fis-1238	136	12	identification	identification	NOUN
fis-1238	136	13	procedure	procedure	NOUN
fis-1238	136	14	adopted	adopt	VERB
fis-1238	136	15	in	in	ADP
fis-1238	136	16	this	this	DET
fis-1238	136	17	study	study	NOUN
fis-1238	136	18	is	be	AUX
fis-1238	136	19	based	base	VERB
fis-1238	136	20	on	on	ADP
fis-1238	136	21	the	the	DET
fis-1238	136	22	generalized	generalize	VERB
fis-1238	136	23	hill	hill	PROPN
fis-1238	136	24	-	-	PUNCT
fis-1238	136	25	mandel	mandel	PROPN
fis-1238	136	26	macro	macro	NOUN
fis-1238	136	27	-	-	NOUN
fis-1238	136	28	homogeneity	homogeneity	NOUN
fis-1238	136	29	condition	condition	NOUN
fis-1238	136	30	.	.	PUNCT
fis-1238	137	1	the	the	DET
fis-1238	137	2	virtual	virtual	ADJ
fis-1238	137	3	work	work	NOUN
fis-1238	137	4	evaluated	evaluate	VERB
fis-1238	137	5	at	at	ADP
fis-1238	137	6	the	the	DET
fis-1238	137	7	macroscopic	macroscopic	ADJ
fis-1238	137	8	cosserat	cosserat	NOUN
fis-1238	137	9	point	point	NOUN
fis-1238	137	10	is	be	AUX
fis-1238	137	11	set	set	VERB
fis-1238	137	12	equal	equal	ADJ
fis-1238	137	13	to	to	ADP
fis-1238	137	14	the	the	DET
fis-1238	137	15	average	average	ADJ
fis-1238	137	16	virtual	virtual	ADJ
fis-1238	137	17	work	work	NOUN
fis-1238	137	18	of	of	ADP
fis-1238	137	19	the	the	DET
fis-1238	137	20	heterogeneous	heterogeneous	ADJ
fis-1238	137	21	cauchy	cauchy	ADJ
fis-1238	137	22	medium	medium	NOUN
fis-1238	137	23	in	in	ADP
fis-1238	137	24	the	the	DET
fis-1238	137	25	uc	uc	PROPN
fis-1238	137	26	.	.	PUNCT
fis-1238	138	1	thus	thus	ADV
fis-1238	138	2	,	,	PUNCT
fis-1238	138	3	the	the	DET
fis-1238	138	4	following	follow	VERB
fis-1238	138	5	expression	expression	NOUN
fis-1238	138	6	holds	hold	VERB
fis-1238	138	7	:	:	PUNCT
fis-1238	139	1	=	=	X
fis-1238	139	2	t	t	X
fis-1238	139	3	t	t	X
fis-1238	139	4			PROPN
fis-1238	139	5	σ	σ	X
fis-1238	139	6	e	e	PROPN
fis-1238	139	7	σ	σ	PROPN
fis-1238	139	8	ε	ε	PROPN
fis-1238	139	9	(	(	PUNCT
fis-1238	139	10	22	22	NUM
fis-1238	139	11	)	)	PUNCT
fis-1238	139	12	whereς	whereς	NOUN
fis-1238	139	13	is	be	AUX
fis-1238	139	14	the	the	DET
fis-1238	139	15	micropolar	micropolar	ADJ
fis-1238	139	16	stress	stress	NOUN
fis-1238	139	17	vector	vector	NOUN
fis-1238	139	18	evaluated	evaluate	VERB
fis-1238	139	19	at	at	ADP
fis-1238	139	20	the	the	DET
fis-1238	139	21	macroscopic	macroscopic	ADJ
fis-1238	139	22	point	point	NOUN
fis-1238	139	23	,	,	PUNCT
fis-1238	139	24	while	while	SCONJ
fis-1238	139	25	σ	σ	PROPN
fis-1238	139	26	is	be	AUX
fis-1238	139	27	the	the	DET
fis-1238	139	28	cauchy	cauchy	ADJ
fis-1238	139	29	stress	stress	NOUN
fis-1238	139	30	vector	vector	NOUN
fis-1238	139	31	at	at	ADP
fis-1238	139	32	the	the	DET
fis-1238	139	33	typical	typical	ADJ
fis-1238	139	34	point	point	NOUN
fis-1238	139	35	of	of	ADP
fis-1238	139	36	the	the	DET
fis-1238	139	37	uc	uc	PROPN
fis-1238	139	38	.	.	PUNCT
fis-1238	140	1	after	after	ADP
fis-1238	140	2	solving	solve	VERB
fis-1238	140	3	the	the	DET
fis-1238	140	4	bvp	bvp	NOUN
fis-1238	140	5	on	on	ADP
fis-1238	140	6	the	the	DET
fis-1238	140	7	uc	uc	NOUN
fis-1238	140	8	and	and	CCONJ
fis-1238	140	9	determining	determine	VERB
fis-1238	140	10	the	the	DET
fis-1238	140	11	microscopic	microscopic	ADJ
fis-1238	140	12	stress	stress	NOUN
fis-1238	140	13	and	and	CCONJ
fis-1238	140	14	strain	strain	NOUN
fis-1238	140	15	fields	field	NOUN
fis-1238	140	16	,	,	PUNCT
fis-1238	140	17	σ	σ	PROPN
fis-1238	140	18	and	and	CCONJ
fis-1238	140	19	ε	ε	PROPN
fis-1238	140	20	,	,	PUNCT
fis-1238	140	21	the	the	DET
fis-1238	140	22	homogenized	homogenized	ADJ
fis-1238	140	23	cosserat	cosserat	NOUN
fis-1238	140	24	elastic	elastic	ADJ
fis-1238	140	25	constitutive	constitutive	ADJ
fis-1238	140	26	matrix	matrix	NOUN
fis-1238	140	27	c	c	NOUN
fis-1238	140	28	can	can	AUX
fis-1238	140	29	be	be	AUX
fis-1238	140	30	derived	derive	VERB
fis-1238	140	31	by	by	ADP
fis-1238	140	32	using	use	VERB
fis-1238	140	33	eq	eq	ADP
fis-1238	140	34	.	.	PUNCT
fis-1238	141	1	(	(	PUNCT
fis-1238	141	2	22	22	NUM
fis-1238	141	3	)	)	PUNCT
fis-1238	141	4	.	.	PUNCT
fis-1238	142	1	considering	consider	VERB
fis-1238	142	2	a	a	DET
fis-1238	142	3	two	two	NUM
fis-1238	142	4	-	-	PUNCT
fis-1238	142	5	phase	phase	NOUN
fis-1238	142	6	composite	composite	ADJ
fis-1238	142	7	material	material	NOUN
fis-1238	142	8	with	with	ADP
fis-1238	142	9	a	a	DET
fis-1238	142	10	regular	regular	ADJ
fis-1238	142	11	arrangement	arrangement	NOUN
fis-1238	142	12	of	of	ADP
fis-1238	142	13	the	the	DET
fis-1238	142	14	inclusions	inclusion	NOUN
fis-1238	142	15	,	,	PUNCT
fis-1238	142	16	characterized	characterize	VERB
fis-1238	142	17	by	by	ADP
fis-1238	142	18	orthotropic	orthotropic	ADJ
fis-1238	142	19	texture	texture	NOUN
fis-1238	142	20	,	,	PUNCT
fis-1238	142	21	the	the	DET
fis-1238	142	22	homogenized	homogenized	ADJ
fis-1238	142	23	cosserat	cosserat	NOUN
fis-1238	142	24	elastic	elastic	ADJ
fis-1238	142	25	constitutive	constitutive	ADJ
fis-1238	142	26	matrix	matrix	NOUN
fis-1238	142	27	,	,	PUNCT
fis-1238	142	28	expressed	express	VERB
fis-1238	142	29	in	in	ADP
fis-1238	142	30	a	a	DET
fis-1238	142	31	reference	reference	NOUN
fis-1238	142	32	frame	frame	NOUN
fis-1238	142	33	aligned	align	VERB
fis-1238	142	34	with	with	ADP
fis-1238	142	35	the	the	DET
fis-1238	142	36	principal	principal	ADJ
fis-1238	142	37	axes	axis	NOUN
fis-1238	142	38	of	of	ADP
fis-1238	142	39	the	the	DET
fis-1238	142	40	material	material	NOUN
fis-1238	142	41	,	,	PUNCT
fis-1238	142	42	results	result	VERB
fis-1238	142	43	as	as	ADP
fis-1238	142	44	:	:	PUNCT
fis-1238	142	45	11	11	NUM
fis-1238	142	46	12	12	NUM
fis-1238	142	47	12	12	NUM
fis-1238	142	48	22	22	NUM
fis-1238	142	49	33	33	NUM
fis-1238	142	50	44	44	NUM
fis-1238	142	51	55	55	NUM
fis-1238	142	52	66	66	NUM
fis-1238	142	53	0	0	NUM
fis-1238	142	54	0	0	NUM
fis-1238	142	55	0	0	NUM
fis-1238	142	56	0	0	NUM
fis-1238	142	57	0	0	NUM
fis-1238	142	58	0	0	NUM
fis-1238	142	59	0	0	NUM
fis-1238	142	60	0	0	NUM
fis-1238	142	61	0	0	NUM
fis-1238	142	62	0	0	NUM
fis-1238	142	63	0	0	NUM
fis-1238	142	64	0	0	NUM
fis-1238	142	65	0	0	NUM
fis-1238	143	1	=	=	SYM
fis-1238	143	2	0	0	NUM
fis-1238	143	3	0	0	NUM
fis-1238	143	4	0	0	NUM
fis-1238	143	5	0	0	NUM
fis-1238	143	6	0	0	NUM
fis-1238	143	7	0	0	NUM
fis-1238	143	8	0	0	NUM
fis-1238	143	9	0	0	NUM
fis-1238	143	10	0	0	NUM
fis-1238	143	11	0	0	NUM
fis-1238	143	12	0	0	NUM
fis-1238	143	13	0	0	NUM
fis-1238	143	14	0	0	NUM
fis-1238	143	15	0	0	NUM
fis-1238	143	16	0	0	NUM
fis-1238	143	17			NUM
fis-1238	143	18			ADJ
fis-1238	143	19			NOUN
fis-1238	143	20			PROPN
fis-1238	143	21			NOUN
fis-1238	143	22			NOUN
fis-1238	143	23			NOUN
fis-1238	143	24			NOUN
fis-1238	143	25			NOUN
fis-1238	143	26			NOUN
fis-1238	143	27			NOUN
fis-1238	143	28			NOUN
fis-1238	143	29			NOUN
fis-1238	143	30			NOUN
fis-1238	143	31			NOUN
fis-1238	143	32			NOUN
fis-1238	143	33			NOUN
fis-1238	143	34			PROPN
fis-1238	143	35			PROPN
fis-1238	144	1	c	c	NOUN
fis-1238	144	2	c	c	NOUN
fis-1238	144	3	c	c	NOUN
fis-1238	144	4	c	c	NOUN
fis-1238	144	5	c	c	NOUN
fis-1238	144	6	c	c	NOUN
fis-1238	144	7	c	c	NOUN
fis-1238	144	8	c	c	NOUN
fis-1238	144	9	c	c	X
fis-1238	144	10	(	(	PUNCT
fis-1238	144	11	23	23	NUM
fis-1238	144	12	)	)	PUNCT
fis-1238	144	13	regarding	regard	VERB
fis-1238	144	14	the	the	DET
fis-1238	144	15	two	two	NUM
fis-1238	144	16	-	-	PUNCT
fis-1238	144	17	phase	phase	NOUN
fis-1238	144	18	composite	composite	ADJ
fis-1238	144	19	medium	medium	NOUN
fis-1238	144	20	examined	examine	VERB
fis-1238	144	21	in	in	ADP
fis-1238	144	22	subsection	subsection	NOUN
fis-1238	144	23	comparison	comparison	NOUN
fis-1238	144	24	between	between	ADP
fis-1238	144	25	procedures	procedure	NOUN
fis-1238	144	26	a	a	PRON
fis-1238	144	27	,	,	PUNCT
fis-1238	144	28	b	b	PROPN
fis-1238	144	29	and	and	CCONJ
fis-1238	144	30	c	c	NOUN
fis-1238	144	31	,	,	PUNCT
fis-1238	144	32	the	the	DET
fis-1238	144	33	macroscopic	macroscopic	ADJ
fis-1238	144	34	micropolar	micropolar	ADJ
fis-1238	144	35	elasticity	elasticity	NOUN
fis-1238	144	36	matrix	matrix	NOUN
fis-1238	144	37	c	c	NOUN
fis-1238	144	38	has	have	AUX
fis-1238	144	39	been	be	AUX
fis-1238	144	40	evaluated	evaluate	VERB
fis-1238	144	41	,	,	PUNCT
fis-1238	144	42	referring	refer	VERB
fis-1238	144	43	to	to	ADP
fis-1238	144	44	two	two	NUM
fis-1238	144	45	different	different	ADJ
fis-1238	144	46	ucs	ucs	NOUN
fis-1238	144	47	obtained	obtain	VERB
fis-1238	144	48	by	by	ADP
fis-1238	144	49	translation	translation	NOUN
fis-1238	144	50	in	in	ADP
fis-1238	144	51	the	the	DET
fis-1238	144	52	same	same	ADJ
fis-1238	144	53	heterogeneous	heterogeneous	ADJ
fis-1238	144	54	medium	medium	NOUN
fis-1238	144	55	,	,	PUNCT
fis-1238	144	56	see	see	VERB
fis-1238	144	57	fig	fig	NOUN
fis-1238	144	58	.	.	PUNCT
fis-1238	145	1	2	2	X
fis-1238	145	2	.	.	X
fis-1238	145	3	a	a	DET
fis-1238	145	4	)	)	PUNCT
fis-1238	145	5	b	b	NOUN
fis-1238	145	6	)	)	PUNCT
fis-1238	145	7	figure	figure	NOUN
fis-1238	145	8	2	2	NUM
fis-1238	145	9	:	:	PUNCT
fis-1238	145	10	a	a	X
fis-1238	145	11	)	)	PUNCT
fis-1238	145	12	uc1	uc1	ADJ
fis-1238	145	13	texture	texture	NOUN
fis-1238	145	14	;	;	PUNCT
fis-1238	145	15	b	b	X
fis-1238	145	16	)	)	PUNCT
fis-1238	145	17	uc2	uc2	NOUN
fis-1238	145	18	texture	texture	NOUN
fis-1238	145	19	.	.	PUNCT
fis-1238	146	1	the	the	DET
fis-1238	146	2	results	result	NOUN
fis-1238	146	3	,	,	PUNCT
fis-1238	146	4	presented	present	VERB
fis-1238	146	5	in	in	ADP
fis-1238	146	6	[	[	X
fis-1238	146	7	11	11	NUM
fis-1238	146	8	]	]	PUNCT
fis-1238	146	9	,	,	PUNCT
fis-1238	146	10	are	be	AUX
fis-1238	146	11	critically	critically	ADV
fis-1238	146	12	discussed	discuss	VERB
fis-1238	146	13	to	to	PART
fis-1238	146	14	highlight	highlight	VERB
fis-1238	146	15	the	the	DET
fis-1238	146	16	dependence	dependence	NOUN
fis-1238	146	17	of	of	ADP
fis-1238	146	18	the	the	DET
fis-1238	146	19	identification	identification	NOUN
fis-1238	146	20	equivalent	equivalent	ADJ
fis-1238	146	21	coefficients	coefficient	NOUN
fis-1238	146	22	on	on	ADP
fis-1238	146	23	the	the	DET
fis-1238	146	24	centering	centering	NOUN
fis-1238	146	25	of	of	ADP
fis-1238	146	26	the	the	DET
fis-1238	146	27	uc	uc	PROPN
fis-1238	146	28	.	.	PROPN
fis-1238	147	1	indeed	indeed	ADV
fis-1238	147	2	,	,	PUNCT
fis-1238	147	3	differently	differently	ADV
fis-1238	147	4	from	from	ADP
fis-1238	147	5	the	the	DET
fis-1238	147	6	cauchy	cauchy	ADJ
fis-1238	147	7	coefficients	coefficient	NOUN
fis-1238	147	8	,	,	PUNCT
fis-1238	147	9	which	which	PRON
fis-1238	147	10	are	be	AUX
fis-1238	147	11	proved	prove	VERB
fis-1238	147	12	to	to	PART
fis-1238	147	13	be	be	AUX
fis-1238	147	14	irrespective	irrespective	ADV
fis-1238	147	15	of	of	ADP
fis-1238	147	16	the	the	DET
fis-1238	147	17	choice	choice	NOUN
fis-1238	147	18	of	of	ADP
fis-1238	147	19	uc	uc	PROPN
fis-1238	147	20	,	,	PUNCT
fis-1238	147	21	for	for	ADP
fis-1238	147	22	the	the	DET
fis-1238	147	23	bending	bending	NOUN
fis-1238	147	24	and	and	CCONJ
fis-1238	147	25	skew	skew	ADJ
fis-1238	147	26	-	-	PUNCT
fis-1238	147	27	symmetric	symmetric	ADJ
fis-1238	147	28	shear	shear	NOUN
fis-1238	147	29	micropolar	micropolar	ADJ
fis-1238	147	30	coefficients	coefficient	NOUN
fis-1238	147	31	this	this	PRON
fis-1238	147	32	is	be	AUX
fis-1238	147	33	not	not	PART
fis-1238	147	34	straightforward	straightforward	ADJ
fis-1238	147	35	,	,	PUNCT
fis-1238	147	36	at	at	ADP
fis-1238	147	37	least	least	ADJ
fis-1238	147	38	in	in	ADP
fis-1238	147	39	the	the	DET
fis-1238	147	40	framework	framework	NOUN
fis-1238	147	41	of	of	ADP
fis-1238	147	42	computational	computational	ADJ
fis-1238	147	43	homogenization	homogenization	NOUN
fis-1238	147	44	.	.	PUNCT
fis-1238	148	1	in	in	ADP
fis-1238	148	2	the	the	DET
fis-1238	148	3	following	following	NOUN
fis-1238	148	4	the	the	DET
fis-1238	148	5	focus	focus	NOUN
fis-1238	148	6	is	be	AUX
fis-1238	148	7	on	on	ADP
fis-1238	148	8	the	the	DET
fis-1238	148	9	determination	determination	NOUN
fis-1238	148	10	of	of	ADP
fis-1238	148	11	44c	44c	NOUN
fis-1238	148	12	,	,	PUNCT
fis-1238	148	13	55c	55c	NOUN
fis-1238	148	14	and	and	CCONJ
fis-1238	148	15	66c	66c	NUM
fis-1238	148	16	,	,	PUNCT
fis-1238	148	17	governing	govern	VERB
fis-1238	148	18	the	the	DET
fis-1238	148	19	bending	bending	NOUN
fis-1238	148	20	and	and	CCONJ
fis-1238	148	21	skew	skew	ADJ
fis-1238	148	22	-	-	PUNCT
fis-1238	148	23	symmetric	symmetric	ADJ
fis-1238	148	24	shear	shear	NOUN
fis-1238	148	25	behavior	behavior	NOUN
fis-1238	148	26	of	of	ADP
fis-1238	148	27	the	the	DET
fis-1238	148	28	micropolar	micropolar	ADJ
fis-1238	148	29	equivalent	equivalent	ADJ
fis-1238	148	30	medium	medium	NOUN
fis-1238	148	31	.	.	PUNCT
fis-1238	149	1	t	t	PROPN
fis-1238	150	1	m.l	m.l	PROPN
fis-1238	150	2	.	.	PROPN
fis-1238	150	3	de	de	PROPN
fis-1238	150	4	bellis	bellis	PROPN
fis-1238	150	5	et	et	PROPN
fis-1238	150	6	alii	alii	PROPN
fis-1238	150	7	,	,	PUNCT
fis-1238	150	8	frattura	frattura	PROPN
fis-1238	150	9	ed	ed	PROPN
fis-1238	150	10	integrità	integrità	PROPN
fis-1238	150	11	strutturale	strutturale	PROPN
fis-1238	150	12	,	,	PUNCT
fis-1238	150	13	29	29	NUM
fis-1238	150	14	(	(	PUNCT
fis-1238	150	15	2014	2014	NUM
fis-1238	150	16	)	)	PUNCT
fis-1238	150	17	37	37	NUM
fis-1238	150	18	-	-	SYM
fis-1238	150	19	48	48	NUM
fis-1238	150	20	;	;	PUNCT
fis-1238	150	21	doi	doi	NOUN
fis-1238	150	22	:	:	PUNCT
fis-1238	150	23	10.3221	10.3221	NUM
fis-1238	150	24	/	/	SYM
fis-1238	150	25	igf	igf	PROPN
fis-1238	150	26	-	-	PUNCT
fis-1238	150	27	esis.29.05	esis.29.05	NOUN
fis-1238	150	28	44	44	NUM
fis-1238	150	29	aiming	aim	VERB
fis-1238	150	30	at	at	ADP
fis-1238	150	31	estimating	estimate	VERB
fis-1238	150	32	the	the	DET
fis-1238	150	33	coefficient	coefficient	NOUN
fis-1238	150	34	44c	44c	NOUN
fis-1238	150	35	,	,	PUNCT
fis-1238	150	36	the	the	DET
fis-1238	150	37	macroscopic	macroscopic	ADJ
fis-1238	150	38	strain	strain	NOUN
fis-1238	150	39	component	component	NOUN
fis-1238	150	40	1	1	NUM
fis-1238	150	41	1k	1k	NUM
fis-1238	150	42			NOUN
fis-1238	150	43	is	be	AUX
fis-1238	150	44	applied	apply	VERB
fis-1238	150	45	to	to	ADP
fis-1238	150	46	the	the	DET
fis-1238	150	47	uc	uc	PROPN
fis-1238	150	48	,	,	PUNCT
fis-1238	150	49	with	with	ADP
fis-1238	150	50	all	all	DET
fis-1238	150	51	the	the	DET
fis-1238	150	52	other	other	ADJ
fis-1238	150	53	components	component	NOUN
fis-1238	150	54	set	set	VERB
fis-1238	150	55	equal	equal	ADJ
fis-1238	150	56	to	to	ADP
fis-1238	150	57	zero	zero	NUM
fis-1238	150	58	.	.	PUNCT
fis-1238	151	1	note	note	VERB
fis-1238	151	2	that	that	SCONJ
fis-1238	151	3	,	,	PUNCT
fis-1238	151	4	due	due	ADP
fis-1238	151	5	to	to	ADP
fis-1238	151	6	the	the	DET
fis-1238	151	7	cubic	cubic	ADJ
fis-1238	151	8	symmetry	symmetry	NOUN
fis-1238	151	9	of	of	ADP
fis-1238	151	10	the	the	DET
fis-1238	151	11	composite	composite	ADJ
fis-1238	151	12	material	material	NOUN
fis-1238	151	13	,	,	PUNCT
fis-1238	151	14	the	the	DET
fis-1238	151	15	case	case	NOUN
fis-1238	151	16	2	2	NUM
fis-1238	151	17	1k	1k	NUM
fis-1238	151	18			PROPN
fis-1238	151	19	leads	lead	VERB
fis-1238	151	20	to	to	ADP
fis-1238	151	21	results	result	NOUN
fis-1238	151	22	which	which	PRON
fis-1238	151	23	are	be	AUX
fis-1238	151	24	the	the	DET
fis-1238	151	25	rotated	rotate	VERB
fis-1238	151	26	results	result	NOUN
fis-1238	151	27	of	of	ADP
fis-1238	151	28	the	the	DET
fis-1238	151	29	case	case	NOUN
fis-1238	151	30	1	1	NUM
fis-1238	151	31	1k	1k	NUM
fis-1238	151	32			NOUN
fis-1238	151	33	,	,	PUNCT
fis-1238	151	34	so	so	SCONJ
fis-1238	151	35	that	that	SCONJ
fis-1238	151	36	55	55	NUM
fis-1238	151	37	44	44	NUM
fis-1238	151	38	.c	.c	NOUN
fis-1238	151	39	c	c	NOUN
fis-1238	151	40	for	for	ADP
fis-1238	151	41	the	the	DET
fis-1238	151	42	two	two	NUM
fis-1238	151	43	selected	select	VERB
fis-1238	151	44	ucs	ucs	NOUN
fis-1238	151	45	,	,	PUNCT
fis-1238	151	46	procedures	procedure	VERB
fis-1238	151	47	a	a	DET
fis-1238	151	48	,	,	PUNCT
fis-1238	151	49	b	b	NOUN
fis-1238	151	50	and	and	CCONJ
fis-1238	151	51	c	c	PROPN
fis-1238	151	52	are	be	AUX
fis-1238	151	53	applied	apply	VERB
fis-1238	151	54	.	.	PUNCT
fis-1238	152	1	it	it	PRON
fis-1238	152	2	emerges	emerge	VERB
fis-1238	152	3	that	that	SCONJ
fis-1238	152	4	procedures	procedure	NOUN
fis-1238	152	5	b	b	NOUN
fis-1238	152	6	and	and	CCONJ
fis-1238	152	7	c	c	PROPN
fis-1238	152	8	lead	lead	NOUN
fis-1238	152	9	to	to	PART
fis-1238	152	10	homogenized	homogenized	VERB
fis-1238	152	11	constitutive	constitutive	ADJ
fis-1238	152	12	parameters	parameter	NOUN
fis-1238	152	13	that	that	PRON
fis-1238	152	14	differ	differ	VERB
fis-1238	152	15	by	by	ADP
fis-1238	152	16	about	about	ADV
fis-1238	152	17	8	8	NUM
fis-1238	152	18	%	%	NOUN
fis-1238	152	19	for	for	ADP
fis-1238	152	20	the	the	DET
fis-1238	152	21	same	same	ADJ
fis-1238	152	22	uc	uc	NOUN
fis-1238	152	23	,	,	PUNCT
fis-1238	152	24	while	while	SCONJ
fis-1238	152	25	procedure	procedure	NOUN
fis-1238	152	26	a	a	PRON
fis-1238	152	27	provides	provide	VERB
fis-1238	152	28	results	result	NOUN
fis-1238	152	29	that	that	PRON
fis-1238	152	30	differ	differ	VERB
fis-1238	152	31	by	by	ADP
fis-1238	152	32	an	an	DET
fis-1238	152	33	order	order	NOUN
fis-1238	152	34	of	of	ADP
fis-1238	152	35	magnitude	magnitude	NOUN
fis-1238	152	36	.	.	PUNCT
fis-1238	153	1	moreover	moreover	ADV
fis-1238	153	2	,	,	PUNCT
fis-1238	153	3	the	the	DET
fis-1238	153	4	obtained	obtain	VERB
fis-1238	153	5	results	result	NOUN
fis-1238	153	6	depend	depend	VERB
fis-1238	153	7	on	on	ADP
fis-1238	153	8	the	the	DET
fis-1238	153	9	choice	choice	NOUN
fis-1238	153	10	of	of	ADP
fis-1238	153	11	the	the	DET
fis-1238	153	12	uc	uc	PROPN
fis-1238	153	13	.	.	PROPN
fis-1238	153	14	indeed	indeed	ADV
fis-1238	153	15	,	,	PUNCT
fis-1238	153	16	the	the	DET
fis-1238	153	17	values	value	NOUN
fis-1238	153	18	of	of	ADP
fis-1238	153	19	44c	44c	NOUN
fis-1238	153	20	computed	compute	VERB
fis-1238	153	21	for	for	ADP
fis-1238	153	22	the	the	DET
fis-1238	153	23	two	two	NUM
fis-1238	153	24	ucs	ucs	NOUN
fis-1238	153	25	differ	differ	VERB
fis-1238	153	26	by	by	ADP
fis-1238	153	27	14	14	NUM
fis-1238	153	28	%	%	NOUN
fis-1238	153	29	,	,	PUNCT
fis-1238	153	30	for	for	ADP
fis-1238	153	31	procedure	procedure	NOUN
fis-1238	153	32	b	b	NOUN
fis-1238	153	33	and	and	CCONJ
fis-1238	153	34	about	about	ADV
fis-1238	153	35	27	27	NUM
fis-1238	153	36	%	%	NOUN
fis-1238	153	37	for	for	ADP
fis-1238	153	38	procedure	procedure	NOUN
fis-1238	153	39	c.	c.	NOUN
fis-1238	153	40	these	these	DET
fis-1238	153	41	results	result	NOUN
fis-1238	153	42	can	can	AUX
fis-1238	153	43	be	be	AUX
fis-1238	153	44	explained	explain	VERB
fis-1238	153	45	by	by	ADP
fis-1238	153	46	taking	take	VERB
fis-1238	153	47	into	into	ADP
fis-1238	153	48	account	account	NOUN
fis-1238	153	49	the	the	DET
fis-1238	153	50	explicit	explicit	ADJ
fis-1238	153	51	expression	expression	NOUN
fis-1238	153	52	of	of	ADP
fis-1238	153	53	the	the	DET
fis-1238	153	54	internal	internal	ADJ
fis-1238	153	55	work	work	NOUN
fis-1238	153	56	at	at	ADP
fis-1238	153	57	the	the	DET
fis-1238	153	58	right	right	ADJ
fis-1238	153	59	-	-	PUNCT
fis-1238	153	60	hand	hand	NOUN
fis-1238	153	61	side	side	NOUN
fis-1238	153	62	of	of	ADP
fis-1238	153	63	eq	eq	PROPN
fis-1238	153	64	.	.	PUNCT
fis-1238	154	1	(	(	PUNCT
fis-1238	154	2	22	22	NUM
fis-1238	154	3	)	)	PUNCT
fis-1238	154	4	.	.	PUNCT
fis-1238	155	1	it	it	PRON
fis-1238	155	2	emerges	emerge	VERB
fis-1238	155	3	,	,	PUNCT
fis-1238	155	4	in	in	ADP
fis-1238	155	5	fact	fact	NOUN
fis-1238	155	6	,	,	PUNCT
fis-1238	155	7	that	that	SCONJ
fis-1238	155	8	the	the	DET
fis-1238	155	9	relative	relative	ADJ
fis-1238	155	10	position	position	NOUN
fis-1238	155	11	of	of	ADP
fis-1238	155	12	the	the	DET
fis-1238	155	13	two	two	NUM
fis-1238	155	14	(	(	PUNCT
fis-1238	155	15	stiffer	stiff	ADJ
fis-1238	155	16	and	and	CCONJ
fis-1238	155	17	softer	soft	ADJ
fis-1238	155	18	)	)	PUNCT
fis-1238	155	19	constituents	constituent	NOUN
fis-1238	155	20	,	,	PUNCT
fis-1238	155	21	with	with	ADP
fis-1238	155	22	respect	respect	NOUN
fis-1238	155	23	to	to	ADP
fis-1238	155	24	the	the	DET
fis-1238	155	25	uc	uc	PROPN
fis-1238	155	26	center	center	NOUN
fis-1238	155	27	,	,	PUNCT
fis-1238	155	28	strongly	strongly	ADV
fis-1238	155	29	influences	influence	VERB
fis-1238	155	30	the	the	DET
fis-1238	155	31	value	value	NOUN
fis-1238	155	32	of	of	ADP
fis-1238	155	33	the	the	DET
fis-1238	155	34	identified	identify	VERB
fis-1238	155	35	parameter	parameter	NOUN
fis-1238	155	36	.	.	PUNCT
fis-1238	156	1	this	this	DET
fis-1238	156	2	problem	problem	NOUN
fis-1238	156	3	is	be	AUX
fis-1238	156	4	well	well	ADV
fis-1238	156	5	known	known	ADJ
fis-1238	156	6	[	[	X
fis-1238	156	7	2	2	NUM
fis-1238	156	8	,	,	PUNCT
fis-1238	156	9	8	8	NUM
fis-1238	156	10	,	,	PUNCT
fis-1238	156	11	11	11	NUM
fis-1238	156	12	]	]	PUNCT
fis-1238	156	13	and	and	CCONJ
fis-1238	156	14	is	be	AUX
fis-1238	156	15	related	relate	VERB
fis-1238	156	16	to	to	ADP
fis-1238	156	17	the	the	DET
fis-1238	156	18	definition	definition	NOUN
fis-1238	156	19	of	of	ADP
fis-1238	156	20	the	the	DET
fis-1238	156	21	higher	high	ADJ
fis-1238	156	22	-	-	PUNCT
fis-1238	156	23	order	order	NOUN
fis-1238	156	24	or	or	CCONJ
fis-1238	156	25	couple	couple	NOUN
fis-1238	156	26	stresses	stress	NOUN
fis-1238	156	27	as	as	SCONJ
fis-1238	156	28	the	the	DET
fis-1238	156	29	volume	volume	NOUN
fis-1238	156	30	average	average	NOUN
fis-1238	156	31	of	of	ADP
fis-1238	156	32	the	the	DET
fis-1238	156	33	product	product	NOUN
fis-1238	156	34	of	of	ADP
fis-1238	156	35	microscopic	microscopic	ADJ
fis-1238	156	36	stresses	stress	NOUN
fis-1238	156	37	and	and	CCONJ
fis-1238	156	38	microscopic	microscopic	ADJ
fis-1238	156	39	coordinates	coordinate	NOUN
fis-1238	156	40	over	over	ADP
fis-1238	156	41	the	the	DET
fis-1238	156	42	uc	uc	PROPN
fis-1238	156	43	.	.	PROPN
fis-1238	156	44	similar	similar	ADJ
fis-1238	156	45	considerations	consideration	NOUN
fis-1238	156	46	apply	apply	VERB
fis-1238	156	47	when	when	SCONJ
fis-1238	156	48	the	the	DET
fis-1238	156	49	component	component	NOUN
fis-1238	156	50	1	1	NUM
fis-1238	156	51			NOUN
fis-1238	156	52	is	be	AUX
fis-1238	156	53	considered	consider	VERB
fis-1238	156	54	,	,	PUNCT
fis-1238	156	55	while	while	SCONJ
fis-1238	156	56	all	all	DET
fis-1238	156	57	the	the	DET
fis-1238	156	58	other	other	ADJ
fis-1238	156	59	macro	macro	ADJ
fis-1238	156	60	-	-	ADJ
fis-1238	156	61	level	level	ADJ
fis-1238	156	62	strain	strain	NOUN
fis-1238	156	63	components	component	NOUN
fis-1238	156	64	are	be	AUX
fis-1238	156	65	set	set	VERB
fis-1238	156	66	equal	equal	ADJ
fis-1238	156	67	to	to	ADP
fis-1238	156	68	zero	zero	NUM
fis-1238	156	69	.	.	PUNCT
fis-1238	157	1	again	again	ADV
fis-1238	157	2	,	,	PUNCT
fis-1238	157	3	different	different	ADJ
fis-1238	157	4	results	result	NOUN
fis-1238	157	5	are	be	AUX
fis-1238	157	6	obtained	obtain	VERB
fis-1238	157	7	for	for	ADP
fis-1238	157	8	the	the	DET
fis-1238	157	9	two	two	NUM
fis-1238	157	10	ucs	ucs	NOUN
fis-1238	157	11	and	and	CCONJ
fis-1238	157	12	for	for	ADP
fis-1238	157	13	the	the	DET
fis-1238	157	14	adopted	adopt	VERB
fis-1238	157	15	methods	method	NOUN
fis-1238	157	16	.	.	PUNCT
fis-1238	158	1	further	further	PROPN
fis-1238	158	2	numerical	numerical	ADJ
fis-1238	158	3	tests	test	NOUN
fis-1238	158	4	are	be	AUX
fis-1238	158	5	performed	perform	VERB
fis-1238	158	6	to	to	PART
fis-1238	158	7	investigate	investigate	VERB
fis-1238	158	8	on	on	ADP
fis-1238	158	9	the	the	DET
fis-1238	158	10	influence	influence	NOUN
fis-1238	158	11	of	of	ADP
fis-1238	158	12	the	the	DET
fis-1238	158	13	size	size	NOUN
fis-1238	158	14	of	of	ADP
fis-1238	158	15	the	the	DET
fis-1238	158	16	rve	rve	PROPN
fis-1238	159	1	[	[	X
fis-1238	159	2	9	9	NUM
fis-1238	159	3	]	]	PUNCT
fis-1238	159	4	.	.	PUNCT
fis-1238	160	1	various	various	ADJ
fis-1238	160	2	square	square	ADJ
fis-1238	160	3	rves	rf	NOUN
fis-1238	160	4	are	be	AUX
fis-1238	160	5	considered	consider	VERB
fis-1238	160	6	,	,	PUNCT
fis-1238	160	7	taking	take	VERB
fis-1238	160	8	into	into	ADP
fis-1238	160	9	account	account	NOUN
fis-1238	160	10	assemblages	assemblage	NOUN
fis-1238	160	11	of	of	ADP
fis-1238	160	12	3	3	NUM
fis-1238	160	13	3	3	NUM
fis-1238	160	14	,	,	PUNCT
fis-1238	160	15	5	5	NUM
fis-1238	160	16	5	5	NUM
fis-1238	160	17	,	,	PUNCT
fis-1238	160	18	7	7	NUM
fis-1238	160	19	7	7	NUM
fis-1238	160	20	,	,	PUNCT
fis-1238	160	21	9	9	NUM
fis-1238	160	22	9	9	NUM
fis-1238	160	23	,	,	PUNCT
fis-1238	160	24	…	…	PUNCT
fis-1238	160	25	15	15	NUM
fis-1238	160	26	15	15	NUM
fis-1238	160	27	ucs	ucs	NOUN
fis-1238	160	28	,	,	PUNCT
fis-1238	160	29	subjected	subject	VERB
fis-1238	160	30	to	to	ADP
fis-1238	160	31	the	the	DET
fis-1238	160	32	bcs	bcs	NOUN
fis-1238	160	33	shown	show	VERB
fis-1238	160	34	in	in	ADP
fis-1238	160	35	fig	fig	NOUN
fis-1238	160	36	.	.	PUNCT
fis-1238	161	1	1	1	NUM
fis-1238	161	2	,	,	PUNCT
fis-1238	161	3	which	which	PRON
fis-1238	161	4	correspond	correspond	VERB
fis-1238	161	5	to	to	ADP
fis-1238	161	6	the	the	DET
fis-1238	161	7	procedure	procedure	NOUN
fis-1238	161	8	c.	c.	NOUN
fis-1238	161	9	the	the	DET
fis-1238	161	10	average	average	ADJ
fis-1238	161	11	internal	internal	ADJ
fis-1238	161	12	work	work	NOUN
fis-1238	161	13	is	be	AUX
fis-1238	161	14	evaluated	evaluate	VERB
fis-1238	161	15	over	over	ADP
fis-1238	161	16	the	the	DET
fis-1238	161	17	entire	entire	ADJ
fis-1238	161	18	rve	rve	NOUN
fis-1238	161	19	domains	domain	NOUN
fis-1238	161	20	.	.	PUNCT
fis-1238	162	1	it	it	PRON
fis-1238	162	2	emerges	emerge	VERB
fis-1238	162	3	that	that	SCONJ
fis-1238	162	4	,	,	PUNCT
fis-1238	162	5	by	by	ADP
fis-1238	162	6	introducing	introduce	VERB
fis-1238	162	7	proper	proper	ADJ
fis-1238	162	8	scaling	scaling	NOUN
fis-1238	162	9	factor	factor	NOUN
fis-1238	162	10	depending	depend	VERB
fis-1238	162	11	on	on	ADP
fis-1238	162	12	the	the	DET
fis-1238	162	13	size	size	NOUN
fis-1238	162	14	l	l	NOUN
fis-1238	162	15	of	of	ADP
fis-1238	162	16	the	the	DET
fis-1238	162	17	square	square	PROPN
fis-1238	162	18	rve	rve	PROPN
fis-1238	162	19	,	,	PUNCT
fis-1238	162	20	in	in	ADP
fis-1238	162	21	both	both	DET
fis-1238	162	22	cases	case	NOUN
fis-1238	162	23	of	of	ADP
fis-1238	162	24	44c	44c	NOUN
fis-1238	162	25	and	and	CCONJ
fis-1238	162	26	66c	66c	NUM
fis-1238	162	27	,	,	PUNCT
fis-1238	162	28	as	as	SCONJ
fis-1238	162	29	the	the	DET
fis-1238	162	30	rve	rve	PROPN
fis-1238	162	31	size	size	NOUN
fis-1238	162	32	increases	increase	NOUN
fis-1238	162	33	,	,	PUNCT
fis-1238	162	34	the	the	DET
fis-1238	162	35	different	different	ADJ
fis-1238	162	36	ucs	ucs	NOUN
fis-1238	162	37	converge	converge	VERB
fis-1238	162	38	to	to	ADP
fis-1238	162	39	the	the	DET
fis-1238	162	40	same	same	ADJ
fis-1238	162	41	quantity	quantity	NOUN
fis-1238	162	42	,	,	PUNCT
fis-1238	162	43	from	from	ADP
fis-1238	162	44	above	above	ADP
fis-1238	162	45	and	and	CCONJ
fis-1238	162	46	from	from	ADP
fis-1238	162	47	below	below	ADV
fis-1238	162	48	,	,	PUNCT
fis-1238	162	49	respectively	respectively	ADV
fis-1238	162	50	.	.	PUNCT
fis-1238	163	1	numerical	numerical	PROPN
fis-1238	163	2	example	example	PROPN
fis-1238	163	3	rectangular	rectangular	PROPN
fis-1238	163	4	wall	wall	NOUN
fis-1238	163	5	under	under	ADP
fis-1238	163	6	vertical	vertical	ADJ
fis-1238	163	7	loading	loading	NOUN
fis-1238	163	8	rectangular	rectangular	ADJ
fis-1238	163	9	wall	wall	NOUN
fis-1238	163	10	made	make	VERB
fis-1238	163	11	from	from	ADP
fis-1238	163	12	a	a	DET
fis-1238	163	13	periodic	periodic	ADJ
fis-1238	163	14	composite	composite	ADJ
fis-1238	163	15	material	material	NOUN
fis-1238	163	16	is	be	AUX
fis-1238	163	17	studied	study	VERB
fis-1238	163	18	.	.	PUNCT
fis-1238	164	1	in	in	ADP
fis-1238	164	2	fig	fig	NOUN
fis-1238	164	3	.	.	PUNCT
fis-1238	165	1	3	3	NUM
fis-1238	165	2	the	the	DET
fis-1238	165	3	geometry	geometry	NOUN
fis-1238	165	4	is	be	AUX
fis-1238	165	5	reported	report	VERB
fis-1238	165	6	together	together	ADV
fis-1238	165	7	with	with	ADP
fis-1238	165	8	loading	loading	NOUN
fis-1238	165	9	and	and	CCONJ
fis-1238	165	10	boundary	boundary	ADJ
fis-1238	165	11	conditions	condition	NOUN
fis-1238	165	12	.	.	PUNCT
fis-1238	166	1	first	first	ADV
fis-1238	166	2	,	,	PUNCT
fis-1238	166	3	the	the	DET
fis-1238	166	4	capability	capability	NOUN
fis-1238	166	5	of	of	ADP
fis-1238	166	6	the	the	DET
fis-1238	166	7	homogenized	homogenized	ADJ
fis-1238	166	8	cosserat	cosserat	NOUN
fis-1238	166	9	model	model	NOUN
fis-1238	166	10	to	to	PART
fis-1238	166	11	account	account	VERB
fis-1238	166	12	for	for	ADP
fis-1238	166	13	size	size	NOUN
fis-1238	166	14	effects	effect	NOUN
fis-1238	166	15	is	be	AUX
fis-1238	166	16	analyzed	analyze	VERB
fis-1238	166	17	.	.	PUNCT
fis-1238	167	1	the	the	DET
fis-1238	167	2	following	follow	VERB
fis-1238	167	3	dimensionless	dimensionless	NOUN
fis-1238	167	4	parameters	parameter	NOUN
fis-1238	167	5	b	b	PROPN
fis-1238	167	6	/	/	SYM
fis-1238	167	7	h	h	NOUN
fis-1238	167	8	1.3	1.3	ADJ
fis-1238	167	9	,	,	PUNCT
fis-1238	167	10	b	b	X
fis-1238	167	11	/	/	SYM
fis-1238	167	12	h	h	NOUN
fis-1238	167	13	0.3	0.3	ADJ
fis-1238	167	14	,	,	PUNCT
fis-1238	167	15	2/	2/	NUM
fis-1238	167	16	10i	10i	NOUN
fis-1238	167	17	me	i	PRON
fis-1238	167	18	e	e	X
fis-1238	167	19			NOUN
fis-1238	167	20	,	,	PUNCT
fis-1238	167	21	h	h	NOUN
fis-1238	167	22	/	/	SYM
fis-1238	167	23	p	p	NOUN
fis-1238	167	24	30000ie	30000ie	PROPN
fis-1238	167	25			NOUN
fis-1238	167	26	,	,	PUNCT
fis-1238	167	27	0.3i	0.3i	PROPN
fis-1238	167	28			NUM
fis-1238	167	29	and	and	CCONJ
fis-1238	167	30	0.3m	0.3m	NOUN
fis-1238	167	31			NOUN
fis-1238	167	32	are	be	AUX
fis-1238	167	33	set	set	VERB
fis-1238	167	34	.	.	PUNCT
fis-1238	168	1	three	three	NUM
fis-1238	168	2	cases	case	NOUN
fis-1238	168	3	are	be	AUX
fis-1238	168	4	analyzed	analyze	VERB
fis-1238	168	5	,	,	PUNCT
fis-1238	168	6	considering	consider	VERB
fis-1238	168	7	the	the	DET
fis-1238	168	8	wall	wall	NOUN
fis-1238	168	9	made	make	VERB
fis-1238	168	10	from	from	ADP
fis-1238	168	11	the	the	DET
fis-1238	168	12	periodic	periodic	ADJ
fis-1238	168	13	repetition	repetition	NOUN
fis-1238	168	14	of	of	ADP
fis-1238	168	15	ucs	ucs	NOUN
fis-1238	168	16	:	:	PUNCT
fis-1238	168	17	16	16	NUM
fis-1238	168	18	12	12	NUM
fis-1238	168	19	,	,	PUNCT
fis-1238	168	20	8	8	NUM
fis-1238	168	21	6	6	NUM
fis-1238	168	22	and	and	CCONJ
fis-1238	168	23	4	4	NUM
fis-1238	168	24	3	3	NUM
fis-1238	168	25	ucs	ucs	NOUN
fis-1238	168	26	.	.	PUNCT
fis-1238	169	1	for	for	ADP
fis-1238	169	2	each	each	DET
fis-1238	169	3	case	case	NOUN
fis-1238	169	4	,	,	PUNCT
fis-1238	169	5	it	it	PRON
fis-1238	169	6	is	be	AUX
fis-1238	169	7	assumed	assume	VERB
fis-1238	169	8	that	that	SCONJ
fis-1238	169	9	the	the	DET
fis-1238	169	10	heterogeneous	heterogeneous	ADJ
fis-1238	169	11	material	material	NOUN
fis-1238	169	12	is	be	AUX
fis-1238	169	13	obtained	obtain	VERB
fis-1238	169	14	by	by	ADP
fis-1238	169	15	adopting	adopt	VERB
fis-1238	169	16	the	the	DET
fis-1238	169	17	uc1	uc1	PROPN
fis-1238	169	18	in	in	ADP
fis-1238	169	19	fig	fig	NOUN
fis-1238	169	20	.	.	PUNCT
fis-1238	170	1	2	2	NUM
fis-1238	170	2	-	-	SYM
fis-1238	170	3	a	a	NOUN
fis-1238	170	4	or	or	CCONJ
fis-1238	170	5	uc2	uc2	PROPN
fis-1238	170	6	in	in	ADP
fis-1238	170	7	fig	fig	NOUN
fis-1238	170	8	.	.	PUNCT
fis-1238	171	1	2	2	NUM
fis-1238	171	2	-	-	PUNCT
fis-1238	171	3	b.	b.	NOUN
fis-1238	171	4	figure	figure	NOUN
fis-1238	171	5	3	3	NUM
fis-1238	171	6	:	:	PUNCT
fis-1238	171	7	schematic	schematic	ADJ
fis-1238	171	8	of	of	ADP
fis-1238	171	9	the	the	DET
fis-1238	171	10	rectangular	rectangular	ADJ
fis-1238	171	11	wall	wall	NOUN
fis-1238	171	12	:	:	PUNCT
fis-1238	171	13	geometry	geometry	NOUN
fis-1238	171	14	,	,	PUNCT
fis-1238	171	15	loading	loading	NOUN
fis-1238	171	16	and	and	CCONJ
fis-1238	171	17	boundary	boundary	ADJ
fis-1238	171	18	conditions	condition	NOUN
fis-1238	171	19	.	.	PUNCT
fis-1238	172	1	in	in	ADP
fis-1238	172	2	fig	fig	NOUN
fis-1238	172	3	.	.	PUNCT
fis-1238	173	1	3	3	NUM
fis-1238	173	2	the	the	DET
fis-1238	173	3	arrangement	arrangement	NOUN
fis-1238	173	4	considered	consider	VERB
fis-1238	173	5	for	for	ADP
fis-1238	173	6	the	the	DET
fis-1238	173	7	case	case	NOUN
fis-1238	173	8	of	of	ADP
fis-1238	173	9	16	16	NUM
fis-1238	173	10	12	12	NUM
fis-1238	173	11	ucs	ucs	PROPN
fis-1238	173	12	,	,	PUNCT
fis-1238	173	13	by	by	ADP
fis-1238	173	14	adopting	adopt	VERB
fis-1238	173	15	both	both	PRON
fis-1238	173	16	uc1	uc1	PROPN
fis-1238	173	17	(	(	PUNCT
fis-1238	173	18	left	leave	VERB
fis-1238	173	19	side	side	NOUN
fis-1238	173	20	)	)	PUNCT
fis-1238	173	21	and	and	CCONJ
fis-1238	173	22	uc2	uc2	PRON
fis-1238	173	23	(	(	PUNCT
fis-1238	173	24	right	right	ADJ
fis-1238	173	25	side	side	NOUN
fis-1238	173	26	)	)	PUNCT
fis-1238	173	27	,	,	PUNCT
fis-1238	173	28	is	be	AUX
fis-1238	173	29	shown	show	VERB
fis-1238	173	30	.	.	PUNCT
fis-1238	174	1	the	the	DET
fis-1238	174	2	numerical	numerical	ADJ
fis-1238	174	3	simulations	simulation	NOUN
fis-1238	174	4	are	be	AUX
fis-1238	174	5	performed	perform	VERB
fis-1238	174	6	considering	consider	VERB
fis-1238	174	7	the	the	DET
fis-1238	174	8	response	response	NOUN
fis-1238	174	9	of	of	ADP
fis-1238	174	10	the	the	DET
fis-1238	174	11	two	two	NUM
fis-1238	174	12	heterogeneous	heterogeneous	ADJ
fis-1238	174	13	materials	material	NOUN
fis-1238	174	14	characterized	characterize	VERB
fis-1238	174	15	by	by	ADP
fis-1238	174	16	the	the	DET
fis-1238	174	17	arrangements	arrangement	NOUN
fis-1238	174	18	shown	show	VERB
fis-1238	174	19	in	in	ADP
fis-1238	174	20	fig	fig	NOUN
fis-1238	174	21	.	.	PUNCT
fis-1238	175	1	3	3	NUM
fis-1238	175	2	,	,	PUNCT
fis-1238	175	3	compared	compare	VERB
fis-1238	175	4	with	with	ADP
fis-1238	175	5	the	the	DET
fis-1238	175	6	response	response	NOUN
fis-1238	175	7	of	of	ADP
fis-1238	175	8	the	the	DET
fis-1238	175	9	homogenized	homogenized	ADJ
fis-1238	175	10	micropolar	micropolar	ADJ
fis-1238	175	11	media	medium	NOUN
fis-1238	175	12	.	.	PUNCT
fis-1238	176	1	the	the	DET
fis-1238	176	2	structural	structural	ADJ
fis-1238	176	3	a	a	DET
fis-1238	176	4	m.l	m.l	PROPN
fis-1238	176	5	.	.	PUNCT
fis-1238	176	6	de	de	PROPN
fis-1238	176	7	bellis	bellis	PROPN
fis-1238	176	8	et	et	PROPN
fis-1238	176	9	alii	alii	PROPN
fis-1238	176	10	,	,	PUNCT
fis-1238	176	11	frattura	frattura	PROPN
fis-1238	176	12	ed	ed	PROPN
fis-1238	176	13	integrità	integrità	PROPN
fis-1238	176	14	strutturale	strutturale	PROPN
fis-1238	176	15	,	,	PUNCT
fis-1238	176	16	29	29	NUM
fis-1238	176	17	(	(	PUNCT
fis-1238	176	18	2014	2014	NUM
fis-1238	176	19	)	)	PUNCT
fis-1238	176	20	37	37	NUM
fis-1238	176	21	-	-	SYM
fis-1238	176	22	48	48	NUM
fis-1238	176	23	;	;	PUNCT
fis-1238	176	24	doi	doi	NOUN
fis-1238	176	25	:	:	PUNCT
fis-1238	176	26	10.3221	10.3221	NUM
fis-1238	176	27	/	/	SYM
fis-1238	176	28	igf	igf	PROPN
fis-1238	176	29	-	-	PUNCT
fis-1238	176	30	esis.29.05	esis.29.05	NOUN
fis-1238	176	31	45	45	NUM
fis-1238	176	32	stiffness	stiffness	NOUN
fis-1238	176	33	is	be	AUX
fis-1238	176	34	evaluated	evaluate	VERB
fis-1238	176	35	by	by	ADP
fis-1238	176	36	dividing	divide	VERB
fis-1238	176	37	the	the	DET
fis-1238	176	38	total	total	ADJ
fis-1238	176	39	base	base	NOUN
fis-1238	176	40	vertical	vertical	ADJ
fis-1238	176	41	reaction	reaction	NOUN
fis-1238	176	42	by	by	ADP
fis-1238	176	43	the	the	DET
fis-1238	176	44	maximum	maximum	PROPN
fis-1238	176	45	vertical	vertical	ADJ
fis-1238	176	46	displacement	displacement	NOUN
fis-1238	176	47	measured	measure	VERB
fis-1238	176	48	at	at	ADP
fis-1238	176	49	the	the	DET
fis-1238	176	50	midspan	midspan	NOUN
fis-1238	176	51	of	of	ADP
fis-1238	176	52	the	the	DET
fis-1238	176	53	top	top	ADJ
fis-1238	176	54	edge	edge	NOUN
fis-1238	176	55	.	.	PUNCT
fis-1238	177	1	in	in	ADP
fis-1238	177	2	tab	tab	NOUN
fis-1238	177	3	.	.	PUNCT
fis-1238	178	1	1	1	NUM
fis-1238	178	2	the	the	DET
fis-1238	178	3	values	value	NOUN
fis-1238	178	4	of	of	ADP
fis-1238	178	5	the	the	DET
fis-1238	178	6	stiffness	stiffness	NOUN
fis-1238	178	7	,	,	PUNCT
fis-1238	178	8	obtained	obtain	VERB
fis-1238	178	9	considering	consider	VERB
fis-1238	178	10	uc1	uc1	PROPN
fis-1238	178	11	for	for	ADP
fis-1238	178	12	the	the	DET
fis-1238	178	13	three	three	NUM
fis-1238	178	14	assemblages	assemblage	NOUN
fis-1238	178	15	(	(	PUNCT
fis-1238	178	16	16	16	NUM
fis-1238	178	17	12	12	NUM
fis-1238	178	18	,	,	PUNCT
fis-1238	178	19	8	8	NUM
fis-1238	178	20	6	6	NUM
fis-1238	178	21	and	and	CCONJ
fis-1238	178	22	4	4	NUM
fis-1238	178	23	3	3	NUM
fis-1238	178	24	)	)	PUNCT
fis-1238	178	25	,	,	PUNCT
fis-1238	178	26	are	be	AUX
fis-1238	178	27	shown	show	VERB
fis-1238	178	28	.	.	PUNCT
fis-1238	179	1	in	in	ADP
fis-1238	179	2	the	the	DET
fis-1238	179	3	first	first	ADJ
fis-1238	179	4	column	column	NOUN
fis-1238	179	5	the	the	DET
fis-1238	179	6	results	result	NOUN
fis-1238	179	7	obtained	obtain	VERB
fis-1238	179	8	with	with	ADP
fis-1238	179	9	the	the	DET
fis-1238	179	10	micromechanical	micromechanical	ADJ
fis-1238	179	11	model	model	NOUN
fis-1238	179	12	and	and	CCONJ
fis-1238	179	13	representing	represent	VERB
fis-1238	179	14	the	the	DET
fis-1238	179	15	reference	reference	NOUN
fis-1238	179	16	solution	solution	NOUN
fis-1238	179	17	are	be	AUX
fis-1238	179	18	reported	report	VERB
fis-1238	179	19	.	.	PUNCT
fis-1238	180	1	in	in	ADP
fis-1238	180	2	the	the	DET
fis-1238	180	3	second	second	ADJ
fis-1238	180	4	column	column	NOUN
fis-1238	180	5	the	the	DET
fis-1238	180	6	stiffness	stiffness	ADJ
fis-1238	180	7	values	value	NOUN
fis-1238	180	8	,	,	PUNCT
fis-1238	180	9	computed	compute	VERB
fis-1238	180	10	by	by	ADP
fis-1238	180	11	adopting	adopt	VERB
fis-1238	180	12	a	a	DET
fis-1238	180	13	standard	standard	ADJ
fis-1238	180	14	first	first	ADJ
fis-1238	180	15	order	order	NOUN
fis-1238	180	16	computational	computational	ADJ
fis-1238	180	17	homogenization	homogenization	NOUN
fis-1238	180	18	(	(	PUNCT
fis-1238	180	19	cauchy	cauchy	PROPN
fis-1238	180	20	)	)	PUNCT
fis-1238	180	21	,	,	PUNCT
fis-1238	180	22	are	be	AUX
fis-1238	180	23	shown	show	VERB
fis-1238	180	24	,	,	PUNCT
fis-1238	180	25	normalized	normalize	VERB
fis-1238	180	26	with	with	ADP
fis-1238	180	27	respect	respect	NOUN
fis-1238	180	28	to	to	ADP
fis-1238	180	29	the	the	DET
fis-1238	180	30	reference	reference	NOUN
fis-1238	180	31	solution	solution	NOUN
fis-1238	180	32	.	.	PUNCT
fis-1238	181	1	finally	finally	ADV
fis-1238	181	2	,	,	PUNCT
fis-1238	181	3	in	in	ADP
fis-1238	181	4	the	the	DET
fis-1238	181	5	last	last	ADJ
fis-1238	181	6	three	three	NUM
fis-1238	181	7	columns	column	NOUN
fis-1238	181	8	,	,	PUNCT
fis-1238	181	9	cos	cos	ADP
fis-1238	181	10	a	a	X
fis-1238	181	11	,	,	PUNCT
fis-1238	181	12	cos	cos	PROPN
fis-1238	181	13	b	b	PROPN
fis-1238	181	14	and	and	CCONJ
fis-1238	181	15	cos	cos	PROPN
fis-1238	181	16	c	c	PROPN
fis-1238	181	17	refer	refer	VERB
fis-1238	181	18	to	to	ADP
fis-1238	181	19	the	the	DET
fis-1238	181	20	responses	response	NOUN
fis-1238	181	21	obtained	obtain	VERB
fis-1238	181	22	using	use	VERB
fis-1238	181	23	the	the	DET
fis-1238	181	24	micropolar	micropolar	ADJ
fis-1238	181	25	homogenized	homogenize	VERB
fis-1238	181	26	model	model	NOUN
fis-1238	181	27	whose	whose	DET
fis-1238	181	28	homogenized	homogenize	VERB
fis-1238	181	29	elastic	elastic	ADJ
fis-1238	181	30	coefficients	coefficient	NOUN
fis-1238	181	31	44c	44c	NOUN
fis-1238	181	32	,	,	PUNCT
fis-1238	181	33	55c	55c	NOUN
fis-1238	181	34	and	and	CCONJ
fis-1238	181	35	66c	66c	NUM
fis-1238	181	36	are	be	AUX
fis-1238	181	37	derived	derive	VERB
fis-1238	181	38	by	by	ADP
fis-1238	181	39	means	mean	NOUN
fis-1238	181	40	of	of	ADP
fis-1238	181	41	procedure	procedure	NOUN
fis-1238	181	42	a	a	DET
fis-1238	181	43	,	,	PUNCT
fis-1238	181	44	procedure	procedure	NOUN
fis-1238	181	45	b	b	NOUN
fis-1238	181	46	and	and	CCONJ
fis-1238	181	47	procedure	procedure	NOUN
fis-1238	181	48	c	c	NOUN
fis-1238	181	49	,	,	PUNCT
fis-1238	181	50	respectively	respectively	ADV
fis-1238	181	51	.	.	PUNCT
fis-1238	182	1	these	these	PRON
fis-1238	182	2	are	be	AUX
fis-1238	182	3	also	also	ADV
fis-1238	182	4	normalized	normalize	VERB
fis-1238	182	5	with	with	ADP
fis-1238	182	6	respect	respect	NOUN
fis-1238	182	7	to	to	ADP
fis-1238	182	8	the	the	DET
fis-1238	182	9	reference	reference	NOUN
fis-1238	182	10	solution	solution	NOUN
fis-1238	182	11	.	.	PUNCT
fis-1238	183	1	the	the	DET
fis-1238	183	2	comparison	comparison	NOUN
fis-1238	183	3	of	of	ADP
fis-1238	183	4	the	the	DET
fis-1238	183	5	values	value	NOUN
fis-1238	183	6	collected	collect	VERB
fis-1238	183	7	in	in	ADP
fis-1238	183	8	tab	tab	NOUN
fis-1238	183	9	.	.	PUNCT
fis-1238	183	10	1	1	NUM
fis-1238	183	11	highlights	highlight	NOUN
fis-1238	183	12	that	that	PRON
fis-1238	183	13	cos	cos	PROPN
fis-1238	183	14	b	b	PROPN
fis-1238	183	15	provides	provide	VERB
fis-1238	183	16	the	the	DET
fis-1238	183	17	best	good	ADJ
fis-1238	183	18	estimation	estimation	NOUN
fis-1238	183	19	of	of	ADP
fis-1238	183	20	the	the	DET
fis-1238	183	21	structural	structural	ADJ
fis-1238	183	22	stiffness	stiffness	NOUN
fis-1238	183	23	,	,	PUNCT
fis-1238	183	24	while	while	SCONJ
fis-1238	183	25	cos	cos	SCONJ
fis-1238	183	26	a	a	PRON
fis-1238	183	27	gives	give	VERB
fis-1238	183	28	a	a	DET
fis-1238	183	29	response	response	NOUN
fis-1238	183	30	overestimating	overestimate	VERB
fis-1238	183	31	by	by	ADP
fis-1238	183	32	out	out	ADV
fis-1238	183	33	23	23	NUM
fis-1238	183	34	%	%	NOUN
fis-1238	183	35	the	the	DET
fis-1238	183	36	actual	actual	ADJ
fis-1238	183	37	stiffness	stiffness	NOUN
fis-1238	183	38	for	for	ADP
fis-1238	183	39	16	16	NUM
fis-1238	183	40	12	12	NUM
fis-1238	183	41	ucs	ucs	PROPN
fis-1238	183	42	and	and	CCONJ
fis-1238	183	43	by	by	ADP
fis-1238	183	44	about	about	ADV
fis-1238	183	45	29	29	NUM
fis-1238	183	46	%	%	NOUN
fis-1238	183	47	for	for	ADP
fis-1238	183	48	4	4	NUM
fis-1238	183	49	3	3	NUM
fis-1238	183	50	ucs	ucs	NOUN
fis-1238	183	51	.	.	PUNCT
fis-1238	183	52	in	in	ADP
fis-1238	183	53	tab	tab	NOUN
fis-1238	183	54	.	.	PUNCT
fis-1238	183	55	2	2	NUM
fis-1238	184	1	the	the	DET
fis-1238	184	2	same	same	ADJ
fis-1238	184	3	results	result	NOUN
fis-1238	184	4	reported	report	VERB
fis-1238	184	5	in	in	ADP
fis-1238	184	6	tab	tab	NOUN
fis-1238	184	7	.	.	PUNCT
fis-1238	184	8	1	1	NUM
fis-1238	184	9	are	be	AUX
fis-1238	184	10	shown	show	VERB
fis-1238	184	11	,	,	PUNCT
fis-1238	184	12	when	when	SCONJ
fis-1238	184	13	uc2	uc2	PROPN
fis-1238	184	14	is	be	AUX
fis-1238	184	15	taken	take	VERB
fis-1238	184	16	into	into	ADP
fis-1238	184	17	account	account	NOUN
fis-1238	184	18	.	.	PUNCT
fis-1238	185	1	also	also	ADV
fis-1238	185	2	in	in	ADP
fis-1238	185	3	this	this	DET
fis-1238	185	4	case	case	NOUN
fis-1238	185	5	,	,	PUNCT
fis-1238	185	6	the	the	DET
fis-1238	185	7	results	result	NOUN
fis-1238	185	8	obtained	obtain	VERB
fis-1238	185	9	via	via	ADP
fis-1238	185	10	procedure	procedure	NOUN
fis-1238	185	11	b	b	NOUN
fis-1238	185	12	are	be	AUX
fis-1238	185	13	in	in	ADP
fis-1238	185	14	very	very	ADV
fis-1238	185	15	good	good	ADJ
fis-1238	185	16	agreement	agreement	NOUN
fis-1238	185	17	with	with	ADP
fis-1238	185	18	the	the	DET
fis-1238	185	19	micromechanical	micromechanical	ADJ
fis-1238	185	20	model	model	NOUN
fis-1238	185	21	.	.	PUNCT
fis-1238	186	1	considering	consider	VERB
fis-1238	186	2	the	the	DET
fis-1238	186	3	results	result	NOUN
fis-1238	186	4	in	in	ADP
fis-1238	186	5	both	both	DET
fis-1238	186	6	tab	tab	NOUN
fis-1238	186	7	.	.	PROPN
fis-1238	186	8	1	1	NUM
fis-1238	186	9	and	and	CCONJ
fis-1238	186	10	2	2	NUM
fis-1238	186	11	,	,	PUNCT
fis-1238	186	12	it	it	PRON
fis-1238	186	13	emerges	emerge	VERB
fis-1238	186	14	that	that	SCONJ
fis-1238	186	15	the	the	DET
fis-1238	186	16	micropolar	micropolar	ADJ
fis-1238	186	17	effects	effect	NOUN
fis-1238	186	18	become	become	VERB
fis-1238	186	19	more	more	ADV
fis-1238	186	20	evident	evident	ADJ
fis-1238	186	21	as	as	SCONJ
fis-1238	186	22	the	the	DET
fis-1238	186	23	number	number	NOUN
fis-1238	186	24	of	of	ADP
fis-1238	186	25	ucs	ucs	NOUN
fis-1238	186	26	decreases	decrease	VERB
fis-1238	186	27	,	,	PUNCT
fis-1238	186	28	since	since	SCONJ
fis-1238	186	29	the	the	DET
fis-1238	186	30	ratio	ratio	NOUN
fis-1238	186	31	between	between	ADP
fis-1238	186	32	the	the	DET
fis-1238	186	33	microstructural	microstructural	ADJ
fis-1238	186	34	size	size	NOUN
fis-1238	186	35	,	,	PUNCT
fis-1238	186	36	directly	directly	ADV
fis-1238	186	37	related	relate	VERB
fis-1238	186	38	to	to	ADP
fis-1238	186	39	the	the	DET
fis-1238	186	40	dimension	dimension	NOUN
fis-1238	186	41	of	of	ADP
fis-1238	186	42	the	the	DET
fis-1238	186	43	inclusions	inclusion	NOUN
fis-1238	186	44	,	,	PUNCT
fis-1238	186	45	and	and	CCONJ
fis-1238	186	46	a	a	DET
fis-1238	186	47	typical	typical	ADJ
fis-1238	186	48	structural	structural	ADJ
fis-1238	186	49	dimension	dimension	NOUN
fis-1238	186	50	,	,	PUNCT
fis-1238	186	51	increases	increase	NOUN
fis-1238	186	52	.	.	PUNCT
fis-1238	187	1	as	as	SCONJ
fis-1238	187	2	expected	expect	VERB
fis-1238	187	3	,	,	PUNCT
fis-1238	187	4	the	the	DET
fis-1238	187	5	cauchy	cauchy	NOUN
fis-1238	187	6	model	model	NOUN
fis-1238	187	7	gives	give	VERB
fis-1238	187	8	the	the	DET
fis-1238	187	9	same	same	ADJ
fis-1238	187	10	results	result	NOUN
fis-1238	187	11	in	in	ADP
fis-1238	187	12	all	all	DET
fis-1238	187	13	the	the	DET
fis-1238	187	14	considered	consider	VERB
fis-1238	187	15	cases	case	NOUN
fis-1238	187	16	and	and	CCONJ
fis-1238	187	17	is	be	AUX
fis-1238	187	18	suitable	suitable	ADJ
fis-1238	187	19	to	to	PART
fis-1238	187	20	correctly	correctly	ADV
fis-1238	187	21	estimate	estimate	VERB
fis-1238	187	22	the	the	DET
fis-1238	187	23	structural	structural	ADJ
fis-1238	187	24	response	response	NOUN
fis-1238	187	25	as	as	ADP
fis-1238	187	26	the	the	DET
fis-1238	187	27	above	above	ADJ
fis-1238	187	28	ratio	ratio	NOUN
fis-1238	187	29	increases	increase	NOUN
fis-1238	187	30	.	.	PUNCT
fis-1238	188	1	heter	heter	PROPN
fis-1238	188	2	cauchy	cauchy	PROPN
fis-1238	188	3	cos	cos	PROPN
fis-1238	188	4	a	a	DET
fis-1238	188	5	cos	cos	PROPN
fis-1238	188	6	b	b	PROPN
fis-1238	188	7	cos	cos	PROPN
fis-1238	188	8	c	c	PROPN
fis-1238	188	9	16	16	NUM
fis-1238	188	10	12	12	NUM
fis-1238	188	11	ucs	ucs	PROPN
fis-1238	188	12	147.82	147.82	NUM
fis-1238	188	13	0.990	0.990	NUM
fis-1238	188	14	1.228	1.228	NUM
fis-1238	188	15	1.007	1.007	NUM
fis-1238	188	16	1.016	1.016	NUM
fis-1238	188	17	8	8	NUM
fis-1238	188	18	6	6	NUM
fis-1238	188	19	ucs	ucs	NOUN
fis-1238	188	20	152.01	152.01	NUM
fis-1238	188	21	0.965	0.965	NUM
fis-1238	188	22	1.254	1.254	NUM
fis-1238	188	23	0.999	0.999	NUM
fis-1238	188	24	1.003	1.003	NUM
fis-1238	188	25	4	4	NUM
fis-1238	188	26	3	3	NUM
fis-1238	188	27	ucs	ucs	NOUN
fis-1238	188	28	159.00	159.00	NUM
fis-1238	188	29	0.921	0.921	NUM
fis-1238	188	30	1.288	1.288	NUM
fis-1238	188	31	0.998	0.998	NUM
fis-1238	188	32	1.002	1.002	NUM
fis-1238	188	33	table	table	NOUN
fis-1238	188	34	1	1	NUM
fis-1238	188	35	:	:	PUNCT
fis-1238	188	36	structural	structural	ADJ
fis-1238	188	37	stiffness	stiffness	NOUN
fis-1238	188	38	in	in	ADP
fis-1238	188	39	the	the	DET
fis-1238	188	40	case	case	NOUN
fis-1238	188	41	of	of	ADP
fis-1238	188	42	different	different	ADJ
fis-1238	188	43	assemblages	assemblage	NOUN
fis-1238	188	44	of	of	ADP
fis-1238	188	45	uc1	uc1	ADJ
fis-1238	188	46	:	:	PUNCT
fis-1238	188	47	heter	heter	NOUN
fis-1238	188	48	=	=	SYM
fis-1238	188	49	micromechanical	micromechanical	ADJ
fis-1238	188	50	model	model	NOUN
fis-1238	188	51	;	;	PUNCT
fis-1238	188	52	cauchy=	cauchy=	NUM
fis-1238	188	53	homogenized	homogenize	VERB
fis-1238	188	54	first	first	ADJ
fis-1238	188	55	order	order	NOUN
fis-1238	188	56	model	model	NOUN
fis-1238	188	57	;	;	PUNCT
fis-1238	189	1	cos	cos	ADP
fis-1238	189	2	a	a	DET
fis-1238	189	3	=	=	NUM
fis-1238	189	4	homogenized	homogenized	ADJ
fis-1238	189	5	cosserat	cosserat	NOUN
fis-1238	189	6	with	with	ADP
fis-1238	189	7	procedure	procedure	NOUN
fis-1238	189	8	a	a	PRON
fis-1238	189	9	;	;	PUNCT
fis-1238	189	10	cos	cos	PROPN
fis-1238	189	11	b	b	PROPN
fis-1238	189	12	=	=	PRON
fis-1238	189	13	homogenized	homogenize	VERB
fis-1238	189	14	cosserat	cosserat	NOUN
fis-1238	189	15	with	with	ADP
fis-1238	189	16	procedure	procedure	NOUN
fis-1238	189	17	b	b	NOUN
fis-1238	189	18	;	;	PUNCT
fis-1238	189	19	cos	cos	PROPN
fis-1238	189	20	c	c	PROPN
fis-1238	189	21	=	=	PRON
fis-1238	189	22	homogenized	homogenize	VERB
fis-1238	189	23	cosserat	cosserat	NOUN
fis-1238	189	24	with	with	ADP
fis-1238	189	25	procedure	procedure	NOUN
fis-1238	189	26	c.	c.	PROPN
fis-1238	189	27	heter	heter	PROPN
fis-1238	189	28	cauchy	cauchy	PROPN
fis-1238	189	29	cos	cos	PROPN
fis-1238	189	30	a	a	DET
fis-1238	189	31	cos	cos	PROPN
fis-1238	189	32	b	b	PROPN
fis-1238	189	33	cos	cos	PROPN
fis-1238	189	34	c	c	PROPN
fis-1238	189	35	16	16	NUM
fis-1238	189	36	12	12	NUM
fis-1238	189	37	ucs	ucs	PROPN
fis-1238	189	38	142.22	142.22	NUM
fis-1238	189	39	1.029	1.029	NUM
fis-1238	189	40	0.876	0.876	NUM
fis-1238	189	41	0.992	0.992	NUM
fis-1238	189	42	0.987	0.987	NUM
fis-1238	189	43	8	8	NUM
fis-1238	189	44	6	6	NUM
fis-1238	189	45	ucs	ucs	NOUN
fis-1238	189	46	141.76	141.76	NUM
fis-1238	189	47	1.032	1.032	NUM
fis-1238	189	48	0.913	0.913	NUM
fis-1238	189	49	1.007	1.007	NUM
fis-1238	189	50	1.024	1.024	NUM
fis-1238	189	51	4	4	NUM
fis-1238	189	52	3	3	NUM
fis-1238	189	53	ucs	ucs	NOUN
fis-1238	189	54	141.93	141.93	NUM
fis-1238	189	55	1.031	1.031	NUM
fis-1238	189	56	1.085	1.085	NUM
fis-1238	189	57	1.009	1.009	NUM
fis-1238	189	58	0.998	0.998	NUM
fis-1238	189	59	table	table	NOUN
fis-1238	189	60	2	2	NUM
fis-1238	189	61	:	:	PUNCT
fis-1238	189	62	structural	structural	ADJ
fis-1238	189	63	stiffness	stiffness	NOUN
fis-1238	189	64	in	in	ADP
fis-1238	189	65	the	the	DET
fis-1238	189	66	case	case	NOUN
fis-1238	189	67	of	of	ADP
fis-1238	189	68	different	different	ADJ
fis-1238	189	69	assemblages	assemblage	NOUN
fis-1238	189	70	of	of	ADP
fis-1238	189	71	uc2	uc2	NOUN
fis-1238	189	72	:	:	PUNCT
fis-1238	189	73	heter	heter	NOUN
fis-1238	189	74	=	=	SYM
fis-1238	189	75	micromechanical	micromechanical	ADJ
fis-1238	189	76	model	model	NOUN
fis-1238	189	77	;	;	PUNCT
fis-1238	189	78	cauchy=	cauchy=	NUM
fis-1238	189	79	homogenized	homogenize	VERB
fis-1238	189	80	first	first	ADJ
fis-1238	189	81	order	order	NOUN
fis-1238	189	82	model	model	NOUN
fis-1238	189	83	;	;	PUNCT
fis-1238	190	1	cos	cos	ADP
fis-1238	190	2	a	a	DET
fis-1238	190	3	=	=	NUM
fis-1238	190	4	homogenized	homogenized	ADJ
fis-1238	190	5	cosserat	cosserat	NOUN
fis-1238	190	6	with	with	ADP
fis-1238	190	7	procedure	procedure	NOUN
fis-1238	190	8	a	a	PRON
fis-1238	190	9	;	;	PUNCT
fis-1238	190	10	cos	cos	PROPN
fis-1238	190	11	b	b	PROPN
fis-1238	190	12	=	=	PRON
fis-1238	190	13	homogenized	homogenize	VERB
fis-1238	190	14	cosserat	cosserat	NOUN
fis-1238	190	15	with	with	ADP
fis-1238	190	16	procedure	procedure	NOUN
fis-1238	190	17	b	b	NOUN
fis-1238	190	18	;	;	PUNCT
fis-1238	190	19	cos	cos	PROPN
fis-1238	190	20	c	c	PROPN
fis-1238	190	21	=	=	PRON
fis-1238	190	22	homogenized	homogenize	VERB
fis-1238	190	23	cosserat	cosserat	NOUN
fis-1238	190	24	with	with	ADP
fis-1238	190	25	procedure	procedure	NOUN
fis-1238	190	26	c.	c.	PROPN
fis-1238	190	27	moreover	moreover	ADV
fis-1238	190	28	,	,	PUNCT
fis-1238	190	29	it	it	PRON
fis-1238	190	30	is	be	AUX
fis-1238	190	31	noteworthy	noteworthy	ADJ
fis-1238	190	32	that	that	SCONJ
fis-1238	190	33	the	the	DET
fis-1238	190	34	position	position	NOUN
fis-1238	190	35	of	of	ADP
fis-1238	190	36	the	the	DET
fis-1238	190	37	inclusions	inclusion	NOUN
fis-1238	190	38	in	in	ADP
fis-1238	190	39	the	the	DET
fis-1238	190	40	heterogeneous	heterogeneous	ADJ
fis-1238	190	41	medium	medium	NOUN
fis-1238	190	42	significantly	significantly	ADV
fis-1238	190	43	influences	influence	VERB
fis-1238	190	44	the	the	DET
fis-1238	190	45	response	response	NOUN
fis-1238	190	46	.	.	PUNCT
fis-1238	191	1	indeed	indeed	ADV
fis-1238	191	2	,	,	PUNCT
fis-1238	191	3	especially	especially	ADV
fis-1238	191	4	for	for	ADP
fis-1238	191	5	the	the	DET
fis-1238	191	6	4	4	NUM
fis-1238	191	7	3	3	NUM
fis-1238	191	8	ucs	ucs	NOUN
fis-1238	191	9	significantly	significantly	ADV
fis-1238	191	10	different	different	ADJ
fis-1238	191	11	results	result	NOUN
fis-1238	191	12	are	be	AUX
fis-1238	191	13	obtained	obtain	VERB
fis-1238	191	14	by	by	ADP
fis-1238	191	15	adopting	adopt	VERB
fis-1238	191	16	the	the	DET
fis-1238	191	17	two	two	NUM
fis-1238	191	18	arrangements	arrangement	NOUN
fis-1238	191	19	.	.	PUNCT
fis-1238	192	1	finally	finally	ADV
fis-1238	192	2	,	,	PUNCT
fis-1238	192	3	to	to	PART
fis-1238	192	4	investigate	investigate	VERB
fis-1238	192	5	the	the	DET
fis-1238	192	6	influence	influence	NOUN
fis-1238	192	7	of	of	ADP
fis-1238	192	8	the	the	DET
fis-1238	192	9	aspect	aspect	NOUN
fis-1238	192	10	ratio	ratio	NOUN
fis-1238	192	11	on	on	ADP
fis-1238	192	12	the	the	DET
fis-1238	192	13	global	global	ADJ
fis-1238	192	14	elastic	elastic	ADJ
fis-1238	192	15	response	response	NOUN
fis-1238	192	16	,	,	PUNCT
fis-1238	192	17	three	three	NUM
fis-1238	192	18	different	different	ADJ
fis-1238	192	19	geometries	geometry	NOUN
fis-1238	192	20	are	be	AUX
fis-1238	192	21	considered	consider	VERB
fis-1238	192	22	,	,	PUNCT
fis-1238	192	23	corresponding	correspond	VERB
fis-1238	192	24	to	to	ADP
fis-1238	192	25	b	b	NOUN
fis-1238	192	26	/	/	SYM
fis-1238	192	27	h	h	NOUN
fis-1238	192	28	1.3	1.3	ADJ
fis-1238	192	29	,	,	PUNCT
fis-1238	192	30	b	b	X
fis-1238	192	31	/	/	SYM
fis-1238	192	32	h	h	PROPN
fis-1238	192	33	1.6	1.6	NUM
fis-1238	192	34	and	and	CCONJ
fis-1238	192	35	b	b	X
fis-1238	192	36	/	/	SYM
fis-1238	192	37	h	h	NOUN
fis-1238	192	38	2	2	NUM
fis-1238	192	39	.	.	PUNCT
fis-1238	193	1	the	the	DET
fis-1238	193	2	first	first	ADJ
fis-1238	193	3	geometry	geometry	NOUN
fis-1238	193	4	is	be	AUX
fis-1238	193	5	the	the	DET
fis-1238	193	6	same	same	ADJ
fis-1238	193	7	presented	present	VERB
fis-1238	193	8	above	above	ADP
fis-1238	193	9	corresponding	correspond	VERB
fis-1238	193	10	to	to	ADP
fis-1238	193	11	16	16	NUM
fis-1238	193	12	12	12	NUM
fis-1238	193	13	ucs	ucs	PROPN
fis-1238	193	14	.	.	PUNCT
fis-1238	194	1	in	in	ADP
fis-1238	194	2	tab	tab	PROPN
fis-1238	194	3	.	.	PUNCT
fis-1238	194	4	3	3	NUM
fis-1238	194	5	and	and	CCONJ
fis-1238	194	6	4	4	NUM
fis-1238	194	7	the	the	DET
fis-1238	194	8	results	result	NOUN
fis-1238	194	9	of	of	ADP
fis-1238	194	10	the	the	DET
fis-1238	194	11	structural	structural	ADJ
fis-1238	194	12	stiffness	stiffness	NOUN
fis-1238	194	13	(	(	PUNCT
fis-1238	194	14	adopting	adopt	VERB
fis-1238	194	15	the	the	DET
fis-1238	194	16	same	same	ADJ
fis-1238	194	17	normalization	normalization	NOUN
fis-1238	194	18	as	as	ADP
fis-1238	194	19	m.l	m.l	PROPN
fis-1238	194	20	.	.	PROPN
fis-1238	194	21	de	de	PROPN
fis-1238	194	22	bellis	bellis	PROPN
fis-1238	194	23	et	et	PROPN
fis-1238	194	24	alii	alii	PROPN
fis-1238	194	25	,	,	PUNCT
fis-1238	194	26	frattura	frattura	PROPN
fis-1238	194	27	ed	ed	PROPN
fis-1238	194	28	integrità	integrità	PROPN
fis-1238	194	29	strutturale	strutturale	PROPN
fis-1238	194	30	,	,	PUNCT
fis-1238	194	31	29	29	NUM
fis-1238	194	32	(	(	PUNCT
fis-1238	194	33	2014	2014	NUM
fis-1238	194	34	)	)	PUNCT
fis-1238	194	35	37	37	NUM
fis-1238	194	36	-	-	SYM
fis-1238	194	37	48	48	NUM
fis-1238	194	38	;	;	PUNCT
fis-1238	194	39	doi	doi	NOUN
fis-1238	194	40	:	:	PUNCT
fis-1238	194	41	10.3221	10.3221	NUM
fis-1238	194	42	/	/	SYM
fis-1238	194	43	igf	igf	PROPN
fis-1238	194	44	-	-	PUNCT
fis-1238	194	45	esis.29.05	esis.29.05	NOUN
fis-1238	194	46	46	46	NUM
fis-1238	194	47	before	before	ADV
fis-1238	194	48	)	)	PUNCT
fis-1238	194	49	,	,	PUNCT
fis-1238	194	50	as	as	ADP
fis-1238	194	51	the	the	DET
fis-1238	194	52	aspect	aspect	NOUN
fis-1238	194	53	ratio	ratio	NOUN
fis-1238	194	54	changes	change	NOUN
fis-1238	194	55	,	,	PUNCT
fis-1238	194	56	are	be	AUX
fis-1238	194	57	reported	report	VERB
fis-1238	194	58	for	for	ADP
fis-1238	194	59	uc1	uc1	PROPN
fis-1238	194	60	and	and	CCONJ
fis-1238	194	61	uc2	uc2	PROPN
fis-1238	194	62	,	,	PUNCT
fis-1238	194	63	respectively	respectively	ADV
fis-1238	194	64	.	.	PUNCT
fis-1238	195	1	it	it	PRON
fis-1238	195	2	can	can	AUX
fis-1238	195	3	be	be	AUX
fis-1238	195	4	remarked	remark	VERB
fis-1238	195	5	that	that	DET
fis-1238	195	6	procedure	procedure	NOUN
fis-1238	195	7	b	b	NOUN
fis-1238	195	8	confirms	confirm	VERB
fis-1238	195	9	to	to	PART
fis-1238	195	10	be	be	AUX
fis-1238	195	11	the	the	DET
fis-1238	195	12	most	most	ADV
fis-1238	195	13	suitable	suitable	ADJ
fis-1238	195	14	to	to	PART
fis-1238	195	15	reproduce	reproduce	VERB
fis-1238	195	16	the	the	DET
fis-1238	195	17	actual	actual	ADJ
fis-1238	195	18	behavior	behavior	NOUN
fis-1238	195	19	of	of	ADP
fis-1238	195	20	the	the	DET
fis-1238	195	21	heterogeneous	heterogeneous	ADJ
fis-1238	195	22	medium	medium	NOUN
fis-1238	195	23	.	.	PUNCT
fis-1238	196	1	moreover	moreover	ADV
fis-1238	196	2	,	,	PUNCT
fis-1238	196	3	the	the	DET
fis-1238	196	4	slenderer	slender	ADJ
fis-1238	196	5	the	the	DET
fis-1238	196	6	wall	wall	NOUN
fis-1238	196	7	(	(	PUNCT
fis-1238	196	8	b	b	X
fis-1238	196	9	/	/	SYM
fis-1238	196	10	h	h	NOUN
fis-1238	196	11	1.3	1.3	ADJ
fis-1238	196	12	)	)	PUNCT
fis-1238	196	13	the	the	PRON
fis-1238	196	14	closer	close	ADV
fis-1238	196	15	the	the	DET
fis-1238	196	16	values	value	NOUN
fis-1238	196	17	obtained	obtain	VERB
fis-1238	196	18	with	with	ADP
fis-1238	196	19	the	the	DET
fis-1238	196	20	first	first	ADJ
fis-1238	196	21	order	order	NOUN
fis-1238	196	22	technique	technique	NOUN
fis-1238	196	23	are	be	AUX
fis-1238	196	24	to	to	ADP
fis-1238	196	25	the	the	DET
fis-1238	196	26	response	response	NOUN
fis-1238	196	27	of	of	ADP
fis-1238	196	28	the	the	DET
fis-1238	196	29	micromechanichal	micromechanichal	ADJ
fis-1238	196	30	models	model	NOUN
fis-1238	196	31	.	.	PUNCT
fis-1238	197	1	the	the	DET
fis-1238	197	2	micropolar	micropolar	ADJ
fis-1238	197	3	effects	effect	NOUN
fis-1238	197	4	are	be	AUX
fis-1238	197	5	,	,	PUNCT
fis-1238	197	6	thus	thus	ADV
fis-1238	197	7	,	,	PUNCT
fis-1238	197	8	more	more	ADV
fis-1238	197	9	pronounced	pronounced	ADJ
fis-1238	197	10	for	for	ADP
fis-1238	197	11	the	the	DET
fis-1238	197	12	squat	squat	ADJ
fis-1238	197	13	wall	wall	NOUN
fis-1238	197	14	(	(	PUNCT
fis-1238	197	15	b	b	X
fis-1238	197	16	/	/	SYM
fis-1238	197	17	h	h	NOUN
fis-1238	197	18	2	2	NUM
fis-1238	197	19	)	)	PUNCT
fis-1238	197	20	.	.	PUNCT
fis-1238	198	1	also	also	ADV
fis-1238	198	2	in	in	ADP
fis-1238	198	3	this	this	DET
fis-1238	198	4	case	case	NOUN
fis-1238	198	5	,	,	PUNCT
fis-1238	198	6	procedure	procedure	NOUN
fis-1238	198	7	b	b	NOUN
fis-1238	198	8	gives	give	VERB
fis-1238	198	9	results	result	NOUN
fis-1238	198	10	which	which	PRON
fis-1238	198	11	best	good	ADJ
fis-1238	198	12	match	match	VERB
fis-1238	198	13	those	those	PRON
fis-1238	198	14	obtained	obtain	VERB
fis-1238	198	15	with	with	ADP
fis-1238	198	16	the	the	DET
fis-1238	198	17	micromechanical	micromechanical	ADJ
fis-1238	198	18	model	model	NOUN
fis-1238	198	19	.	.	PUNCT
fis-1238	199	1	simple	simple	ADJ
fis-1238	199	2	shear	shear	NOUN
fis-1238	199	3	test	test	NOUN
fis-1238	199	4	of	of	ADP
fis-1238	199	5	a	a	DET
fis-1238	199	6	composite	composite	ADJ
fis-1238	199	7	strip	strip	NOUN
fis-1238	199	8	as	as	ADP
fis-1238	199	9	a	a	DET
fis-1238	199	10	second	second	ADJ
fis-1238	199	11	example	example	NOUN
fis-1238	199	12	,	,	PUNCT
fis-1238	199	13	a	a	DET
fis-1238	199	14	displacement	displacement	NOUN
fis-1238	199	15	driven	drive	VERB
fis-1238	199	16	shear	shear	NOUN
fis-1238	199	17	test	test	NOUN
fis-1238	199	18	on	on	ADP
fis-1238	199	19	a	a	DET
fis-1238	199	20	2d	2d	NUM
fis-1238	199	21	structure	structure	NOUN
fis-1238	199	22	,	,	PUNCT
fis-1238	199	23	made	make	VERB
fis-1238	199	24	from	from	ADP
fis-1238	199	25	the	the	DET
fis-1238	199	26	same	same	ADJ
fis-1238	199	27	composite	composite	ADJ
fis-1238	199	28	medium	medium	NOUN
fis-1238	199	29	considered	consider	VERB
fis-1238	199	30	in	in	ADP
fis-1238	199	31	the	the	DET
fis-1238	199	32	previous	previous	ADJ
fis-1238	199	33	example	example	NOUN
fis-1238	199	34	,	,	PUNCT
fis-1238	199	35	is	be	AUX
fis-1238	199	36	presented	present	VERB
fis-1238	199	37	.	.	PUNCT
fis-1238	200	1	a	a	DET
fis-1238	200	2	strip	strip	NOUN
fis-1238	200	3	with	with	ADP
fis-1238	200	4	b	b	X
fis-1238	200	5	/	/	SYM
fis-1238	200	6	h	h	NOUN
fis-1238	200	7	0.1	0.1	PROPN
fis-1238	200	8	is	be	AUX
fis-1238	200	9	considered	consider	VERB
fis-1238	200	10	assuming	assume	VERB
fis-1238	200	11	plane	plane	NOUN
fis-1238	200	12	strain	strain	NOUN
fis-1238	200	13	condition	condition	NOUN
fis-1238	200	14	.	.	PUNCT
fis-1238	201	1	in	in	ADP
fis-1238	201	2	fig	fig	NOUN
fis-1238	201	3	.	.	PUNCT
fis-1238	202	1	4	4	NUM
fis-1238	202	2	the	the	DET
fis-1238	202	3	schematic	schematic	ADJ
fis-1238	202	4	of	of	ADP
fis-1238	202	5	the	the	DET
fis-1238	202	6	geometry	geometry	NOUN
fis-1238	202	7	and	and	CCONJ
fis-1238	202	8	boundary	boundary	ADJ
fis-1238	202	9	conditions	condition	NOUN
fis-1238	202	10	is	be	AUX
fis-1238	202	11	shown	show	VERB
fis-1238	202	12	for	for	ADP
fis-1238	202	13	two	two	NUM
fis-1238	202	14	possible	possible	ADJ
fis-1238	202	15	strips	strip	NOUN
fis-1238	202	16	,	,	PUNCT
fis-1238	202	17	corresponding	correspond	VERB
fis-1238	202	18	to	to	ADP
fis-1238	202	19	assemblages	assemblage	NOUN
fis-1238	202	20	of	of	ADP
fis-1238	202	21	uc1	uc1	PROPN
fis-1238	202	22	and	and	CCONJ
fis-1238	202	23	uc2	uc2	PRON
fis-1238	202	24	in	in	ADP
fis-1238	202	25	fig	fig	NOUN
fis-1238	202	26	.	.	PUNCT
fis-1238	203	1	2	2	NUM
fis-1238	203	2	-	-	SYM
fis-1238	203	3	a	a	NOUN
fis-1238	203	4	and	and	CCONJ
fis-1238	203	5	e	e	NOUN
fis-1238	203	6	2	2	NUM
fis-1238	203	7	-	-	SYM
fis-1238	203	8	b	b	NOUN
fis-1238	203	9	,	,	PUNCT
fis-1238	203	10	respectively	respectively	ADV
fis-1238	203	11	.	.	PUNCT
fis-1238	204	1	the	the	DET
fis-1238	204	2	strips	strip	NOUN
fis-1238	204	3	are	be	AUX
fis-1238	204	4	fixed	fix	VERB
fis-1238	204	5	at	at	ADP
fis-1238	204	6	both	both	CCONJ
fis-1238	204	7	bottom	bottom	ADJ
fis-1238	204	8	and	and	CCONJ
fis-1238	204	9	top	top	ADJ
fis-1238	204	10	edges	edge	NOUN
fis-1238	204	11	and	and	CCONJ
fis-1238	204	12	a	a	DET
fis-1238	204	13	horizontal	horizontal	ADJ
fis-1238	204	14	displacement	displacement	NOUN
fis-1238	204	15	d	d	NOUN
fis-1238	204	16	=	=	NOUN
fis-1238	204	17	h/100	h/100	PROPN
fis-1238	204	18	is	be	AUX
fis-1238	204	19	prescribed	prescribe	VERB
fis-1238	204	20	at	at	ADP
fis-1238	204	21	the	the	DET
fis-1238	204	22	top	top	NOUN
fis-1238	204	23	.	.	PUNCT
fis-1238	205	1	heter	heter	PROPN
fis-1238	205	2	cauchy	cauchy	PROPN
fis-1238	206	1	cos	cos	PROPN
fis-1238	206	2	a	a	DET
fis-1238	206	3	cos	cos	PROPN
fis-1238	206	4	b	b	PROPN
fis-1238	206	5	cos	cos	PROPN
fis-1238	206	6	c	c	PROPN
fis-1238	206	7	b	b	PROPN
fis-1238	206	8	/	/	SYM
fis-1238	206	9	h	h	NOUN
fis-1238	207	1	1.3	1.3	NUM
fis-1238	207	2	147.82	147.82	NUM
fis-1238	207	3	0.990	0.990	NUM
fis-1238	207	4	1.228	1.228	NUM
fis-1238	207	5	1.007	1.007	NUM
fis-1238	207	6	1.016	1.016	NUM
fis-1238	207	7	b	b	X
fis-1238	207	8	/	/	SYM
fis-1238	207	9	h	h	NOUN
fis-1238	207	10	1.6	1.6	NUM
fis-1238	208	1	153.81	153.81	NUM
fis-1238	208	2	0.986	0.986	NUM
fis-1238	208	3	1.349	1.349	NUM
fis-1238	208	4	1.013	1.013	NUM
fis-1238	208	5	1.036	1.036	NUM
fis-1238	208	6	b	b	NOUN
fis-1238	208	7	/	/	SYM
fis-1238	208	8	h	h	NOUN
fis-1238	208	9	2	2	NUM
fis-1238	208	10	162.43	162.43	NUM
fis-1238	208	11	0.931	0.931	NUM
fis-1238	208	12	1.560	1.560	NUM
fis-1238	208	13	1.012	1.012	NUM
fis-1238	208	14	1.024	1.024	NUM
fis-1238	208	15	table	table	NOUN
fis-1238	208	16	3	3	NUM
fis-1238	208	17	:	:	PUNCT
fis-1238	208	18	structural	structural	ADJ
fis-1238	208	19	stiffness	stiffness	NOUN
fis-1238	208	20	for	for	ADP
fis-1238	208	21	different	different	ADJ
fis-1238	208	22	ratios	ratio	NOUN
fis-1238	208	23	of	of	ADP
fis-1238	208	24	b	b	NOUN
fis-1238	208	25	/	/	SYM
fis-1238	208	26	h	h	NOUN
fis-1238	208	27	in	in	ADP
fis-1238	208	28	the	the	DET
fis-1238	208	29	case	case	NOUN
fis-1238	208	30	of	of	ADP
fis-1238	208	31	uc1	uc1	ADJ
fis-1238	208	32	:	:	PUNCT
fis-1238	208	33	heter	heter	NOUN
fis-1238	208	34	=	=	SYM
fis-1238	208	35	micromechanical	micromechanical	ADJ
fis-1238	208	36	model	model	NOUN
fis-1238	208	37	;	;	PUNCT
fis-1238	208	38	cauchy=	cauchy=	NUM
fis-1238	208	39	homogenized	homogenize	VERB
fis-1238	208	40	first	first	ADJ
fis-1238	208	41	order	order	NOUN
fis-1238	208	42	model	model	NOUN
fis-1238	208	43	;	;	PUNCT
fis-1238	209	1	cos	cos	ADP
fis-1238	209	2	a	a	DET
fis-1238	209	3	=	=	NUM
fis-1238	209	4	homogenized	homogenized	ADJ
fis-1238	209	5	cosserat	cosserat	NOUN
fis-1238	209	6	with	with	ADP
fis-1238	209	7	procedure	procedure	NOUN
fis-1238	209	8	a	a	PRON
fis-1238	209	9	;	;	PUNCT
fis-1238	209	10	cos	cos	PROPN
fis-1238	209	11	b	b	PROPN
fis-1238	209	12	=	=	PRON
fis-1238	209	13	homogenized	homogenize	VERB
fis-1238	209	14	cosserat	cosserat	NOUN
fis-1238	209	15	with	with	ADP
fis-1238	209	16	procedure	procedure	NOUN
fis-1238	209	17	b	b	NOUN
fis-1238	209	18	;	;	PUNCT
fis-1238	209	19	cos	cos	PROPN
fis-1238	209	20	c	c	PROPN
fis-1238	209	21	=	=	PRON
fis-1238	209	22	homogenized	homogenize	VERB
fis-1238	209	23	cosserat	cosserat	NOUN
fis-1238	209	24	with	with	ADP
fis-1238	209	25	procedure	procedure	NOUN
fis-1238	209	26	c.	c.	PROPN
fis-1238	209	27	heter	heter	PROPN
fis-1238	209	28	cauchy	cauchy	PROPN
fis-1238	210	1	cos	cos	PROPN
fis-1238	210	2	a	a	DET
fis-1238	210	3	cos	cos	PROPN
fis-1238	210	4	b	b	PROPN
fis-1238	210	5	cos	cos	PROPN
fis-1238	210	6	c	c	PROPN
fis-1238	210	7	b	b	PROPN
fis-1238	210	8	/	/	SYM
fis-1238	210	9	h	h	NOUN
fis-1238	211	1	1.3	1.3	NUM
fis-1238	211	2	142.22	142.22	NUM
fis-1238	211	3	1.029	1.029	NUM
fis-1238	211	4	0.876	0.876	NUM
fis-1238	211	5	0.992	0.992	NUM
fis-1238	211	6	0.987	0.987	NUM
fis-1238	211	7	b	b	X
fis-1238	211	8	/	/	SYM
fis-1238	211	9	h	h	PROPN
fis-1238	211	10	1.6	1.6	NUM
fis-1238	211	11	143.74	143.74	NUM
fis-1238	211	12	1.033	1.033	NUM
fis-1238	211	13	0.808	0.808	NUM
fis-1238	211	14	0.993	0.993	NUM
fis-1238	211	15	0.982	0.982	NUM
fis-1238	211	16	b	b	NOUN
fis-1238	211	17	/	/	SYM
fis-1238	211	18	h	h	NOUN
fis-1238	211	19	2	2	NUM
fis-1238	212	1	143.85	143.85	NUM
fis-1238	212	2	1.051	1.051	NUM
fis-1238	212	3	0.708	0.708	NUM
fis-1238	212	4	0.995	0.995	NUM
fis-1238	212	5	0.982	0.982	NUM
fis-1238	212	6	table	table	NOUN
fis-1238	212	7	4	4	NUM
fis-1238	212	8	structural	structural	ADJ
fis-1238	212	9	stiffness	stiffness	NOUN
fis-1238	212	10	for	for	ADP
fis-1238	212	11	different	different	ADJ
fis-1238	212	12	ratios	ratio	NOUN
fis-1238	212	13	of	of	ADP
fis-1238	212	14	b	b	NOUN
fis-1238	212	15	/	/	SYM
fis-1238	212	16	h	h	NOUN
fis-1238	212	17	in	in	ADP
fis-1238	212	18	the	the	DET
fis-1238	212	19	case	case	NOUN
fis-1238	212	20	of	of	ADP
fis-1238	212	21	uc2	uc2	PROPN
fis-1238	212	22	:	:	PUNCT
fis-1238	212	23	heter	heter	NOUN
fis-1238	212	24	=	=	SYM
fis-1238	212	25	micromechanical	micromechanical	ADJ
fis-1238	212	26	model	model	NOUN
fis-1238	212	27	;	;	PUNCT
fis-1238	212	28	cauchy=	cauchy=	NUM
fis-1238	212	29	homogenized	homogenize	VERB
fis-1238	212	30	first	first	ADJ
fis-1238	212	31	order	order	NOUN
fis-1238	212	32	model	model	NOUN
fis-1238	212	33	;	;	PUNCT
fis-1238	212	34	cos	cos	ADP
fis-1238	212	35	a	a	DET
fis-1238	212	36	=	=	NUM
fis-1238	212	37	homogenized	homogenized	ADJ
fis-1238	212	38	cosserat	cosserat	NOUN
fis-1238	212	39	with	with	ADP
fis-1238	212	40	procedure	procedure	NOUN
fis-1238	212	41	a	a	PRON
fis-1238	212	42	;	;	PUNCT
fis-1238	212	43	cos	cos	PROPN
fis-1238	212	44	b	b	PROPN
fis-1238	212	45	=	=	PRON
fis-1238	212	46	homogenized	homogenize	VERB
fis-1238	212	47	cosserat	cosserat	NOUN
fis-1238	212	48	with	with	ADP
fis-1238	212	49	procedure	procedure	NOUN
fis-1238	212	50	b	b	NOUN
fis-1238	212	51	;	;	PUNCT
fis-1238	212	52	cos	cos	PROPN
fis-1238	212	53	c	c	PROPN
fis-1238	212	54	=	=	PRON
fis-1238	212	55	homogenized	homogenize	VERB
fis-1238	212	56	cosserat	cosserat	NOUN
fis-1238	212	57	with	with	ADP
fis-1238	212	58	procedure	procedure	NOUN
fis-1238	212	59	c.	c.	NOUN
fis-1238	212	60	in	in	ADP
fis-1238	212	61	fig	fig	NOUN
fis-1238	212	62	.	.	PUNCT
fis-1238	213	1	5	5	NUM
fis-1238	213	2	-	-	SYM
fis-1238	213	3	a	a	DET
fis-1238	213	4	the	the	DET
fis-1238	213	5	displacement	displacement	ADJ
fis-1238	213	6	horizontal	horizontal	ADJ
fis-1238	213	7	component	component	NOUN
fis-1238	213	8	,	,	PUNCT
fis-1238	213	9	evaluated	evaluate	VERB
fis-1238	213	10	along	along	ADP
fis-1238	213	11	the	the	DET
fis-1238	213	12	vertical	vertical	ADJ
fis-1238	213	13	symmetry	symmetry	NOUN
fis-1238	213	14	axis	axis	NOUN
fis-1238	213	15	of	of	ADP
fis-1238	213	16	each	each	DET
fis-1238	213	17	strip	strip	NOUN
fis-1238	213	18	along	along	ADP
fis-1238	213	19	the	the	DET
fis-1238	213	20	vertical	vertical	ADJ
fis-1238	213	21	axis	axis	NOUN
fis-1238	213	22	of	of	ADP
fis-1238	213	23	the	the	DET
fis-1238	213	24	strip	strip	NOUN
fis-1238	213	25	is	be	AUX
fis-1238	213	26	shown	show	VERB
fis-1238	213	27	.	.	PUNCT
fis-1238	214	1	the	the	DET
fis-1238	214	2	responses	response	NOUN
fis-1238	214	3	of	of	ADP
fis-1238	214	4	the	the	DET
fis-1238	214	5	micromechanical	micromechanical	ADJ
fis-1238	214	6	models	model	NOUN
fis-1238	214	7	are	be	AUX
fis-1238	214	8	represented	represent	VERB
fis-1238	214	9	in	in	ADP
fis-1238	214	10	solid	solid	ADJ
fis-1238	214	11	line	line	NOUN
fis-1238	214	12	(	(	PUNCT
fis-1238	214	13	heter1	heter1	NOUN
fis-1238	214	14	)	)	PUNCT
fis-1238	214	15	and	and	CCONJ
fis-1238	214	16	in	in	ADP
fis-1238	214	17	dash	dash	NOUN
fis-1238	214	18	-	-	PUNCT
fis-1238	214	19	dot	dot	NOUN
fis-1238	214	20	line	line	NOUN
fis-1238	214	21	(	(	PUNCT
fis-1238	214	22	heter2	heter2	PROPN
fis-1238	214	23	)	)	PUNCT
fis-1238	214	24	for	for	ADP
fis-1238	214	25	the	the	DET
fis-1238	214	26	strips	strip	NOUN
fis-1238	214	27	reported	report	VERB
fis-1238	214	28	in	in	ADP
fis-1238	214	29	fig	fig	NOUN
fis-1238	214	30	.	.	PUNCT
fis-1238	215	1	4	4	NUM
fis-1238	215	2	-	-	SYM
fis-1238	215	3	a	a	PRON
fis-1238	215	4	and	and	CCONJ
fis-1238	215	5	4	4	NUM
fis-1238	215	6	-	-	SYM
fis-1238	215	7	b	b	NOUN
fis-1238	215	8	,	,	PUNCT
fis-1238	215	9	respectively	respectively	ADV
fis-1238	215	10	.	.	PUNCT
fis-1238	216	1	the	the	DET
fis-1238	216	2	homogenized	homogenized	ADJ
fis-1238	216	3	constitutive	constitutive	ADJ
fis-1238	216	4	coefficients	coefficient	NOUN
fis-1238	216	5	adopted	adopt	VERB
fis-1238	216	6	in	in	ADP
fis-1238	216	7	the	the	DET
fis-1238	216	8	micropolar	micropolar	ADJ
fis-1238	216	9	models	model	NOUN
fis-1238	216	10	are	be	AUX
fis-1238	216	11	evaluated	evaluate	VERB
fis-1238	216	12	using	use	VERB
fis-1238	216	13	procedure	procedure	NOUN
fis-1238	216	14	b.	b.	PROPN
fis-1238	217	1	the	the	DET
fis-1238	217	2	squares	square	NOUN
fis-1238	217	3	represent	represent	VERB
fis-1238	217	4	the	the	DET
fis-1238	217	5	response	response	NOUN
fis-1238	217	6	of	of	ADP
fis-1238	217	7	the	the	DET
fis-1238	217	8	homogenized	homogenized	ADJ
fis-1238	217	9	micropolar	micropolar	ADJ
fis-1238	217	10	model	model	NOUN
fis-1238	217	11	adopting	adopt	VERB
fis-1238	217	12	the	the	DET
fis-1238	217	13	uc1	uc1	PROPN
fis-1238	217	14	in	in	ADP
fis-1238	217	15	fig	fig	NOUN
fis-1238	217	16	.	.	PUNCT
fis-1238	218	1	2	2	NUM
fis-1238	218	2	-	-	SYM
fis-1238	218	3	a	a	DET
fis-1238	218	4	(	(	PUNCT
fis-1238	218	5	cosb_uc1	cosb_uc1	PROPN
fis-1238	218	6	)	)	PUNCT
fis-1238	218	7	and	and	CCONJ
fis-1238	218	8	the	the	DET
fis-1238	218	9	circles	circle	NOUN
fis-1238	218	10	represent	represent	VERB
fis-1238	218	11	the	the	DET
fis-1238	218	12	response	response	NOUN
fis-1238	218	13	with	with	ADP
fis-1238	218	14	uc2	uc2	PROPN
fis-1238	218	15	in	in	ADP
fis-1238	218	16	fig	fig	NOUN
fis-1238	218	17	.	.	PUNCT
fis-1238	219	1	2	2	NUM
fis-1238	219	2	-	-	SYM
fis-1238	219	3	b	b	PROPN
fis-1238	219	4	(	(	PUNCT
fis-1238	219	5	cosb_uc2	cosb_uc2	PROPN
fis-1238	219	6	)	)	PUNCT
fis-1238	219	7	.	.	PUNCT
fis-1238	220	1	finally	finally	ADV
fis-1238	220	2	,	,	PUNCT
fis-1238	220	3	the	the	DET
fis-1238	220	4	dotted	dotted	ADJ
fis-1238	220	5	line	line	NOUN
fis-1238	220	6	refers	refer	VERB
fis-1238	220	7	to	to	ADP
fis-1238	220	8	the	the	DET
fis-1238	220	9	response	response	NOUN
fis-1238	220	10	obtained	obtain	VERB
fis-1238	220	11	by	by	ADP
fis-1238	220	12	the	the	DET
fis-1238	220	13	standard	standard	ADJ
fis-1238	220	14	first	first	ADJ
fis-1238	220	15	order	order	NOUN
fis-1238	220	16	computational	computational	ADJ
fis-1238	220	17	homogenization	homogenization	NOUN
fis-1238	220	18	(	(	PUNCT
fis-1238	220	19	cauchy	cauchy	PROPN
fis-1238	220	20	)	)	PUNCT
fis-1238	220	21	,	,	PUNCT
fis-1238	220	22	able	able	ADJ
fis-1238	220	23	to	to	PART
fis-1238	220	24	reproduce	reproduce	VERB
fis-1238	220	25	a	a	DET
fis-1238	220	26	linear	linear	ADJ
fis-1238	220	27	variation	variation	NOUN
fis-1238	220	28	of	of	ADP
fis-1238	220	29	the	the	DET
fis-1238	220	30	horizontal	horizontal	ADJ
fis-1238	220	31	displacement	displacement	ADJ
fis-1238	220	32	component	component	NOUN
fis-1238	220	33	along	along	ADP
fis-1238	220	34	the	the	DET
fis-1238	220	35	height	height	NOUN
fis-1238	220	36	of	of	ADP
fis-1238	220	37	the	the	DET
fis-1238	220	38	strip	strip	NOUN
fis-1238	220	39	.	.	PUNCT
fis-1238	221	1	no	no	DET
fis-1238	221	2	relevant	relevant	ADJ
fis-1238	221	3	differences	difference	NOUN
fis-1238	221	4	between	between	ADP
fis-1238	221	5	the	the	DET
fis-1238	221	6	results	result	NOUN
fis-1238	221	7	obtained	obtain	VERB
fis-1238	221	8	with	with	ADP
fis-1238	221	9	the	the	DET
fis-1238	221	10	two	two	NUM
fis-1238	221	11	micromechanical	micromechanical	ADJ
fis-1238	221	12	models	model	NOUN
fis-1238	221	13	arise	arise	VERB
fis-1238	221	14	and	and	CCONJ
fis-1238	221	15	both	both	CCONJ
fis-1238	221	16	the	the	DET
fis-1238	221	17	homogenized	homogenized	ADJ
fis-1238	221	18	micropolar	micropolar	ADJ
fis-1238	221	19	models	model	NOUN
fis-1238	221	20	can	can	AUX
fis-1238	221	21	satisfactorily	satisfactorily	ADV
fis-1238	221	22	follow	follow	VERB
fis-1238	221	23	the	the	DET
fis-1238	221	24	expected	expect	VERB
fis-1238	221	25	displacement	displacement	ADJ
fis-1238	221	26	distribution	distribution	NOUN
fis-1238	221	27	.	.	PUNCT
fis-1238	222	1	in	in	ADP
fis-1238	222	2	fig	fig	NOUN
fis-1238	222	3	.	.	PUNCT
fis-1238	223	1	5	5	NUM
fis-1238	223	2	-	-	SYM
fis-1238	223	3	b	b	NOUN
fis-1238	223	4	the	the	DET
fis-1238	223	5	rotation	rotation	NOUN
fis-1238	223	6	evaluated	evaluate	VERB
fis-1238	223	7	along	along	ADP
fis-1238	223	8	the	the	DET
fis-1238	223	9	vertical	vertical	ADJ
fis-1238	223	10	symmetry	symmetry	NOUN
fis-1238	223	11	axis	axis	NOUN
fis-1238	223	12	of	of	ADP
fis-1238	223	13	each	each	DET
fis-1238	223	14	strip	strip	NOUN
fis-1238	223	15	versus	versus	SCONJ
fis-1238	223	16	the	the	DET
fis-1238	223	17	vertical	vertical	ADJ
fis-1238	223	18	axis	axis	NOUN
fis-1238	223	19	is	be	AUX
fis-1238	223	20	reported	report	VERB
fis-1238	223	21	.	.	PUNCT
fis-1238	224	1	owing	owe	VERB
fis-1238	224	2	to	to	ADP
fis-1238	224	3	the	the	DET
fis-1238	224	4	symmetry	symmetry	NOUN
fis-1238	224	5	of	of	ADP
fis-1238	224	6	this	this	DET
fis-1238	224	7	displacement	displacement	ADJ
fis-1238	224	8	component	component	NOUN
fis-1238	224	9	with	with	ADP
fis-1238	224	10	respect	respect	NOUN
fis-1238	224	11	to	to	ADP
fis-1238	224	12	a	a	DET
fis-1238	224	13	horizontal	horizontal	ADJ
fis-1238	224	14	axis	axis	NOUN
fis-1238	224	15	located	locate	VERB
fis-1238	224	16	at	at	ADP
fis-1238	224	17	the	the	DET
fis-1238	224	18	mid	mid	ADJ
fis-1238	224	19	height	height	NOUN
fis-1238	224	20	,	,	PUNCT
fis-1238	224	21	only	only	ADV
fis-1238	224	22	one	one	NUM
fis-1238	224	23	half	half	NOUN
fis-1238	224	24	of	of	ADP
fis-1238	224	25	the	the	DET
fis-1238	224	26	strip	strip	NOUN
fis-1238	224	27	height	height	NOUN
fis-1238	224	28	is	be	AUX
fis-1238	224	29	depicted	depict	VERB
fis-1238	224	30	.	.	PUNCT
fis-1238	225	1	due	due	ADP
fis-1238	225	2	to	to	ADP
fis-1238	225	3	the	the	DET
fis-1238	225	4	different	different	ADJ
fis-1238	225	5	natures	nature	NOUN
fis-1238	225	6	of	of	ADP
fis-1238	225	7	the	the	DET
fis-1238	225	8	compared	compare	VERB
fis-1238	225	9	models	model	NOUN
fis-1238	225	10	,	,	PUNCT
fis-1238	225	11	the	the	DET
fis-1238	225	12	rigid	rigid	ADJ
fis-1238	225	13	rotation	rotation	NOUN
fis-1238	225	14			PROPN
fis-1238	225	15	,	,	PUNCT
fis-1238	225	16	i.e.	i.e.	X
fis-1238	225	17	the	the	DET
fis-1238	225	18	skewsymmetric	skewsymmetric	ADJ
fis-1238	225	19	part	part	NOUN
fis-1238	225	20	of	of	ADP
fis-1238	225	21	the	the	DET
fis-1238	225	22	displacement	displacement	ADJ
fis-1238	225	23	gradient	gradient	NOUN
fis-1238	225	24	,	,	PUNCT
fis-1238	225	25	is	be	AUX
fis-1238	225	26	reported	report	VERB
fis-1238	225	27	for	for	ADP
fis-1238	225	28	micromechanical	micromechanical	ADJ
fis-1238	225	29	and	and	CCONJ
fis-1238	225	30	cauchy	cauchy	NOUN
fis-1238	225	31	models	model	NOUN
fis-1238	225	32	,	,	PUNCT
fis-1238	225	33	while	while	SCONJ
fis-1238	225	34	the	the	DET
fis-1238	225	35	cosserat	cosserat	NOUN
fis-1238	225	36	rotation	rotation	NOUN
fis-1238	225	37			PROPN
fis-1238	225	38	is	be	AUX
fis-1238	225	39	shown	show	VERB
fis-1238	225	40	for	for	ADP
fis-1238	225	41	the	the	DET
fis-1238	225	42	micropolar	micropolar	ADJ
fis-1238	225	43	homogenized	homogenize	VERB
fis-1238	225	44	model	model	NOUN
fis-1238	225	45	.	.	PUNCT
fis-1238	226	1	line	line	NOUN
fis-1238	226	2	styles	style	NOUN
fis-1238	226	3	and	and	CCONJ
fis-1238	226	4	symbols	symbol	NOUN
fis-1238	226	5	have	have	VERB
fis-1238	226	6	the	the	DET
fis-1238	226	7	same	same	ADJ
fis-1238	226	8	meaning	meaning	NOUN
fis-1238	226	9	as	as	ADP
fis-1238	226	10	in	in	ADP
fis-1238	226	11	fig	fig	NOUN
fis-1238	226	12	.	.	PUNCT
fis-1238	227	1	5	5	NUM
fis-1238	227	2	m.l	m.l	PROPN
fis-1238	227	3	.	.	PUNCT
fis-1238	227	4	de	de	PROPN
fis-1238	227	5	bellis	bellis	PROPN
fis-1238	227	6	et	et	PROPN
fis-1238	227	7	alii	alii	PROPN
fis-1238	227	8	,	,	PUNCT
fis-1238	227	9	frattura	frattura	PROPN
fis-1238	227	10	ed	ed	PROPN
fis-1238	227	11	integrità	integrità	PROPN
fis-1238	227	12	strutturale	strutturale	PROPN
fis-1238	227	13	,	,	PUNCT
fis-1238	227	14	29	29	NUM
fis-1238	227	15	(	(	PUNCT
fis-1238	227	16	2014	2014	NUM
fis-1238	227	17	)	)	PUNCT
fis-1238	227	18	37	37	NUM
fis-1238	227	19	-	-	SYM
fis-1238	227	20	48	48	NUM
fis-1238	227	21	;	;	PUNCT
fis-1238	227	22	doi	doi	NOUN
fis-1238	227	23	:	:	PUNCT
fis-1238	227	24	10.3221	10.3221	NUM
fis-1238	227	25	/	/	SYM
fis-1238	227	26	igf	igf	PROPN
fis-1238	227	27	-	-	PUNCT
fis-1238	227	28	esis.29.05	esis.29.05	PROPN
fis-1238	227	29	47	47	NUM
fis-1238	227	30	a.	a.	NOUN
fis-1238	227	31	the	the	DET
fis-1238	227	32	micromechanical	micromechanical	ADJ
fis-1238	227	33	models	model	NOUN
fis-1238	227	34	show	show	VERB
fis-1238	227	35	locally	locally	ADV
fis-1238	227	36	variable	variable	ADJ
fis-1238	227	37	trends	trend	NOUN
fis-1238	227	38	,	,	PUNCT
fis-1238	227	39	which	which	PRON
fis-1238	227	40	,	,	PUNCT
fis-1238	227	41	however	however	ADV
fis-1238	227	42	,	,	PUNCT
fis-1238	227	43	fluctuate	fluctuate	NOUN
fis-1238	227	44	around	around	ADP
fis-1238	227	45	the	the	DET
fis-1238	227	46	same	same	ADJ
fis-1238	227	47	mean	mean	NOUN
fis-1238	227	48	values	value	NOUN
fis-1238	227	49	.	.	PUNCT
fis-1238	228	1	it	it	PRON
fis-1238	228	2	emerges	emerge	VERB
fis-1238	228	3	that	that	SCONJ
fis-1238	228	4	,	,	PUNCT
fis-1238	228	5	while	while	SCONJ
fis-1238	228	6	the	the	DET
fis-1238	228	7	cauchy	cauchy	PROPN
fis-1238	228	8	model	model	NOUN
fis-1238	228	9	captures	capture	VERB
fis-1238	228	10	only	only	ADV
fis-1238	228	11	a	a	DET
fis-1238	228	12	constant	constant	ADJ
fis-1238	228	13	value	value	NOUN
fis-1238	228	14	of	of	ADP
fis-1238	228	15	the	the	DET
fis-1238	228	16	mean	mean	ADJ
fis-1238	228	17	rotation	rotation	NOUN
fis-1238	228	18	along	along	ADP
fis-1238	228	19	the	the	DET
fis-1238	228	20	strip	strip	NOUN
fis-1238	228	21	,	,	PUNCT
fis-1238	228	22	the	the	DET
fis-1238	228	23	micropolar	micropolar	ADJ
fis-1238	228	24	homogenized	homogenized	ADJ
fis-1238	228	25	model	model	NOUN
fis-1238	228	26	provides	provide	VERB
fis-1238	228	27	a	a	DET
fis-1238	228	28	very	very	ADV
fis-1238	228	29	good	good	ADJ
fis-1238	228	30	evaluation	evaluation	NOUN
fis-1238	228	31	of	of	ADP
fis-1238	228	32	the	the	DET
fis-1238	228	33	considered	consider	VERB
fis-1238	228	34	field	field	NOUN
fis-1238	228	35	with	with	ADP
fis-1238	228	36	both	both	CCONJ
fis-1238	228	37	uc1	uc1	PROPN
fis-1238	228	38	and	and	CCONJ
fis-1238	228	39	uc2	uc2	PROPN
fis-1238	228	40	.	.	PUNCT
fis-1238	229	1	a	a	DET
fis-1238	229	2	)	)	PUNCT
fis-1238	229	3	b	b	NOUN
fis-1238	229	4	)	)	PUNCT
fis-1238	229	5	figure	figure	NOUN
fis-1238	229	6	4	4	NUM
fis-1238	229	7	:	:	PUNCT
fis-1238	229	8	a	a	X
fis-1238	229	9	)	)	PUNCT
fis-1238	229	10	strip1	strip1	NOUN
fis-1238	229	11	arrangement	arrangement	NOUN
fis-1238	229	12	;	;	PUNCT
fis-1238	229	13	b	b	X
fis-1238	229	14	)	)	PUNCT
fis-1238	229	15	strip2	strip2	NOUN
fis-1238	229	16	arrangement	arrangement	NOUN
fis-1238	229	17	.	.	PUNCT
fis-1238	230	1	a	a	DET
fis-1238	230	2	)	)	PUNCT
fis-1238	230	3	b	b	NOUN
fis-1238	230	4	)	)	PUNCT
fis-1238	230	5	figure	figure	NOUN
fis-1238	230	6	5	5	NUM
fis-1238	230	7	:	:	PUNCT
fis-1238	230	8	a	a	X
fis-1238	230	9	)	)	PUNCT
fis-1238	230	10	horizontal	horizontal	ADJ
fis-1238	230	11	displacement	displacement	NOUN
fis-1238	230	12	versus	versus	ADP
fis-1238	230	13	vertical	vertical	ADJ
fis-1238	230	14	abscissa	abscissa	PROPN
fis-1238	230	15	;	;	PUNCT
fis-1238	230	16	b	b	X
fis-1238	230	17	)	)	PUNCT
fis-1238	230	18	rotation	rotation	NOUN
fis-1238	230	19	versus	versus	ADP
fis-1238	230	20	vertical	vertical	ADJ
fis-1238	230	21	abscissa	abscissa	PROPN
fis-1238	230	22	.	.	PUNCT
fis-1238	231	1	conclusions	conclusion	NOUN
fis-1238	231	2	he	he	PRON
fis-1238	231	3	micropolar	micropolar	ADJ
fis-1238	231	4	computational	computational	ADJ
fis-1238	231	5	homogenization	homogenization	NOUN
fis-1238	231	6	are	be	AUX
fis-1238	231	7	considered	consider	VERB
fis-1238	231	8	.	.	PUNCT
fis-1238	232	1	the	the	DET
fis-1238	232	2	perturbation	perturbation	NOUN
fis-1238	232	3	fields	field	NOUN
fis-1238	232	4	in	in	ADP
fis-1238	232	5	the	the	DET
fis-1238	232	6	presence	presence	NOUN
fis-1238	232	7	of	of	ADP
fis-1238	232	8	higher	high	ADJ
fis-1238	232	9	order	order	NOUN
fis-1238	232	10	polynomial	polynomial	ADJ
fis-1238	232	11	boundary	boundary	ADJ
fis-1238	232	12	conditions	condition	NOUN
fis-1238	232	13	is	be	AUX
fis-1238	232	14	analyzed	analyze	VERB
fis-1238	232	15	adopting	adopt	VERB
fis-1238	232	16	three	three	NUM
fis-1238	232	17	different	different	ADJ
fis-1238	232	18	procedures	procedure	NOUN
fis-1238	232	19	,	,	PUNCT
fis-1238	232	20	which	which	PRON
fis-1238	232	21	lead	lead	VERB
fis-1238	232	22	to	to	ADP
fis-1238	232	23	different	different	ADJ
fis-1238	232	24	results	result	NOUN
fis-1238	232	25	.	.	PUNCT
fis-1238	233	1	the	the	DET
fis-1238	233	2	first	first	ADJ
fis-1238	233	3	method	method	NOUN
fis-1238	233	4	is	be	AUX
fis-1238	233	5	based	base	VERB
fis-1238	233	6	on	on	ADP
fis-1238	233	7	the	the	DET
fis-1238	233	8	imposition	imposition	NOUN
fis-1238	233	9	of	of	ADP
fis-1238	233	10	periodic	periodic	ADJ
fis-1238	233	11	boundary	boundary	ADJ
fis-1238	233	12	conditions	condition	NOUN
fis-1238	233	13	,	,	PUNCT
fis-1238	233	14	classically	classically	ADV
fis-1238	233	15	adopted	adopt	VERB
fis-1238	233	16	in	in	ADP
fis-1238	233	17	the	the	DET
fis-1238	233	18	standard	standard	ADJ
fis-1238	233	19	first	first	ADJ
fis-1238	233	20	order	order	NOUN
fis-1238	233	21	homogenization	homogenization	NOUN
fis-1238	233	22	,	,	PUNCT
fis-1238	233	23	also	also	ADV
fis-1238	233	24	in	in	ADP
fis-1238	233	25	the	the	DET
fis-1238	233	26	presence	presence	NOUN
fis-1238	233	27	of	of	ADP
fis-1238	233	28	higher	high	ADJ
fis-1238	233	29	order	order	NOUN
fis-1238	233	30	terms	term	NOUN
fis-1238	233	31	of	of	ADP
fis-1238	233	32	the	the	DET
fis-1238	233	33	polynomial	polynomial	ADJ
fis-1238	233	34	map	map	NOUN
fis-1238	233	35	and	and	CCONJ
fis-1238	233	36	provides	provide	VERB
fis-1238	233	37	qualitatively	qualitatively	ADV
fis-1238	233	38	incorrect	incorrect	ADJ
fis-1238	233	39	results	result	NOUN
fis-1238	233	40	.	.	PUNCT
fis-1238	234	1	the	the	DET
fis-1238	234	2	second	second	ADJ
fis-1238	234	3	procedure	procedure	NOUN
fis-1238	234	4	(	(	PUNCT
fis-1238	234	5	3	3	NUM
fis-1238	234	6	step	step	NOUN
fis-1238	234	7	homogenization	homogenization	NOUN
fis-1238	234	8	)	)	PUNCT
fis-1238	234	9	adopted	adopt	VERB
fis-1238	234	10	,	,	PUNCT
fis-1238	234	11	although	although	SCONJ
fis-1238	234	12	the	the	DET
fis-1238	234	13	most	most	ADV
fis-1238	234	14	complex	complex	ADJ
fis-1238	234	15	,	,	PUNCT
fis-1238	234	16	produces	produce	VERB
fis-1238	234	17	the	the	DET
fis-1238	234	18	best	good	ADJ
fis-1238	234	19	results	result	NOUN
fis-1238	234	20	.	.	PUNCT
fis-1238	235	1	finally	finally	ADV
fis-1238	235	2	,	,	PUNCT
fis-1238	235	3	the	the	DET
fis-1238	235	4	methodology	methodology	NOUN
fis-1238	235	5	characterizing	characterize	VERB
fis-1238	235	6	the	the	DET
fis-1238	235	7	perturbation	perturbation	NOUN
fis-1238	235	8	fields	field	NOUN
fis-1238	235	9	on	on	ADP
fis-1238	235	10	the	the	DET
fis-1238	235	11	basis	basis	NOUN
fis-1238	235	12	of	of	ADP
fis-1238	235	13	the	the	DET
fis-1238	235	14	direct	direct	ADJ
fis-1238	235	15	observation	observation	NOUN
fis-1238	235	16	of	of	ADP
fis-1238	235	17	the	the	DET
fis-1238	235	18	large	large	ADJ
fis-1238	235	19	heterogeneous	heterogeneous	ADJ
fis-1238	235	20	medium	medium	ADJ
fis-1238	235	21	behavior	behavior	NOUN
fis-1238	235	22	gives	give	VERB
fis-1238	235	23	results	result	NOUN
fis-1238	235	24	slightly	slightly	ADV
fis-1238	235	25	differing	differ	VERB
fis-1238	235	26	from	from	ADP
fis-1238	235	27	the	the	DET
fis-1238	235	28	3	3	NUM
fis-1238	235	29	step	step	NOUN
fis-1238	235	30	homogenization	homogenization	NOUN
fis-1238	235	31	,	,	PUNCT
fis-1238	235	32	but	but	CCONJ
fis-1238	235	33	is	be	AUX
fis-1238	235	34	much	much	ADV
fis-1238	235	35	simpler	simple	ADJ
fis-1238	235	36	.	.	PUNCT
fis-1238	236	1	thus	thus	ADV
fis-1238	236	2	,	,	PUNCT
fis-1238	236	3	this	this	PRON
fis-1238	236	4	appears	appear	VERB
fis-1238	236	5	as	as	ADP
fis-1238	236	6	the	the	DET
fis-1238	236	7	best	good	ADJ
fis-1238	236	8	compromise	compromise	NOUN
fis-1238	236	9	between	between	ADP
fis-1238	236	10	accuracy	accuracy	NOUN
fis-1238	236	11	and	and	CCONJ
fis-1238	236	12	efficiency	efficiency	NOUN
fis-1238	236	13	in	in	ADP
fis-1238	236	14	correctly	correctly	ADV
fis-1238	236	15	reproducing	reproduce	VERB
fis-1238	236	16	the	the	DET
fis-1238	236	17	actual	actual	ADJ
fis-1238	236	18	trends	trend	NOUN
fis-1238	236	19	of	of	ADP
fis-1238	236	20	perturbation	perturbation	NOUN
fis-1238	236	21	fields	field	NOUN
fis-1238	236	22	,	,	PUNCT
fis-1238	236	23	when	when	SCONJ
fis-1238	236	24	a	a	DET
fis-1238	236	25	single	single	ADJ
fis-1238	236	26	uc	uc	PROPN
fis-1238	236	27	is	be	AUX
fis-1238	236	28	analyzed	analyze	VERB
fis-1238	236	29	.	.	PUNCT
fis-1238	237	1	moreover	moreover	ADV
fis-1238	237	2	,	,	PUNCT
fis-1238	237	3	the	the	DET
fis-1238	237	4	identification	identification	NOUN
fis-1238	237	5	of	of	ADP
fis-1238	237	6	the	the	DET
fis-1238	237	7	homogenized	homogenize	VERB
fis-1238	237	8	linear	linear	ADJ
fis-1238	237	9	elastic	elastic	ADJ
fis-1238	237	10	constitutive	constitutive	ADJ
fis-1238	237	11	parameters	parameter	NOUN
fis-1238	237	12	adopting	adopt	VERB
fis-1238	237	13	the	the	DET
fis-1238	237	14	classical	classical	ADJ
fis-1238	237	15	hill	hill	NOUN
fis-1238	237	16	-	-	PUNCT
fis-1238	237	17	mandel	mandel	NOUN
fis-1238	237	18	procedure	procedure	NOUN
fis-1238	237	19	is	be	AUX
fis-1238	237	20	addressed	address	VERB
fis-1238	237	21	.	.	PUNCT
fis-1238	238	1	considering	consider	VERB
fis-1238	238	2	different	different	ADJ
fis-1238	238	3	ucs	ucs	NOUN
fis-1238	238	4	,	,	PUNCT
fis-1238	238	5	referred	refer	VERB
fis-1238	238	6	to	to	ADP
fis-1238	238	7	the	the	DET
fis-1238	238	8	same	same	ADJ
fis-1238	238	9	composite	composite	ADJ
fis-1238	238	10	material	material	NOUN
fis-1238	238	11	,	,	PUNCT
fis-1238	238	12	it	it	PRON
fis-1238	238	13	emerged	emerge	VERB
fis-1238	238	14	that	that	SCONJ
fis-1238	238	15	the	the	DET
fis-1238	238	16	constitutive	constitutive	ADJ
fis-1238	238	17	response	response	NOUN
fis-1238	238	18	of	of	ADP
fis-1238	238	19	the	the	DET
fis-1238	238	20	homogenized	homogenized	ADJ
fis-1238	238	21	medium	medium	NOUN
fis-1238	238	22	depends	depend	VERB
fis-1238	238	23	on	on	ADP
fis-1238	238	24	the	the	DET
fis-1238	238	25	choice	choice	NOUN
fis-1238	238	26	of	of	ADP
fis-1238	238	27	the	the	DET
fis-1238	238	28	cell	cell	NOUN
fis-1238	238	29	,	,	PUNCT
fis-1238	238	30	adopting	adopt	VERB
fis-1238	238	31	all	all	DET
fis-1238	238	32	the	the	DET
fis-1238	238	33	three	three	NUM
fis-1238	238	34	procedures	procedure	NOUN
fis-1238	238	35	exploited	exploit	VERB
fis-1238	238	36	for	for	ADP
fis-1238	238	37	reproducing	reproduce	VERB
fis-1238	238	38	the	the	DET
fis-1238	238	39	perturbation	perturbation	NOUN
fis-1238	238	40	fields	field	NOUN
fis-1238	238	41	.	.	PUNCT
fis-1238	239	1	indeed	indeed	ADV
fis-1238	239	2	,	,	PUNCT
fis-1238	239	3	while	while	SCONJ
fis-1238	239	4	the	the	DET
fis-1238	239	5	elastic	elastic	ADJ
fis-1238	239	6	cauchy	cauchy	ADJ
fis-1238	239	7	coefficients	coefficient	NOUN
fis-1238	239	8	are	be	AUX
fis-1238	239	9	irrespective	irrespective	ADJ
fis-1238	239	10	of	of	ADP
fis-1238	239	11	the	the	DET
fis-1238	239	12	uc	uc	PROPN
fis-1238	239	13	selected	select	VERB
fis-1238	239	14	,	,	PUNCT
fis-1238	239	15	for	for	ADP
fis-1238	239	16	the	the	DET
fis-1238	239	17	bending	bending	NOUN
fis-1238	239	18	and	and	CCONJ
fis-1238	239	19	skew	skew	ADJ
fis-1238	239	20	-	-	PUNCT
fis-1238	239	21	symmetric	symmetric	ADJ
fis-1238	239	22	shear	shear	NOUN
fis-1238	239	23	micropolar	micropolar	ADJ
fis-1238	239	24	coefficients	coefficient	NOUN
fis-1238	239	25	this	this	PRON
fis-1238	239	26	does	do	AUX
fis-1238	239	27	not	not	PART
fis-1238	239	28	occur	occur	VERB
fis-1238	239	29	,	,	PUNCT
fis-1238	239	30	at	at	ADP
fis-1238	239	31	least	least	ADJ
fis-1238	239	32	not	not	PART
fis-1238	239	33	in	in	ADP
fis-1238	239	34	the	the	DET
fis-1238	239	35	framework	framework	NOUN
fis-1238	239	36	of	of	ADP
fis-1238	239	37	computational	computational	ADJ
fis-1238	239	38	homogenization	homogenization	NOUN
fis-1238	239	39	.	.	PUNCT
fis-1238	240	1	t	t	PROPN
fis-1238	240	2	m.l	m.l	PROPN
fis-1238	240	3	.	.	PROPN
fis-1238	240	4	de	de	PROPN
fis-1238	240	5	bellis	bellis	PROPN
fis-1238	240	6	et	et	PROPN
fis-1238	240	7	alii	alii	PROPN
fis-1238	240	8	,	,	PUNCT
fis-1238	240	9	frattura	frattura	PROPN
fis-1238	240	10	ed	ed	PROPN
fis-1238	240	11	integrità	integrità	PROPN
fis-1238	240	12	strutturale	strutturale	PROPN
fis-1238	240	13	,	,	PUNCT
fis-1238	240	14	29	29	NUM
fis-1238	240	15	(	(	PUNCT
fis-1238	240	16	2014	2014	NUM
fis-1238	240	17	)	)	PUNCT
fis-1238	240	18	37	37	NUM
fis-1238	240	19	-	-	SYM
fis-1238	240	20	48	48	NUM
fis-1238	240	21	;	;	PUNCT
fis-1238	240	22	doi	doi	NOUN
fis-1238	240	23	:	:	PUNCT
fis-1238	240	24	10.3221	10.3221	NUM
fis-1238	240	25	/	/	SYM
fis-1238	240	26	igf	igf	PROPN
fis-1238	240	27	-	-	PUNCT
fis-1238	240	28	esis.29.05	esis.29.05	NOUN
fis-1238	240	29	48	48	NUM
fis-1238	240	30	two	two	NUM
fis-1238	240	31	structural	structural	ADJ
fis-1238	240	32	examples	example	NOUN
fis-1238	240	33	are	be	AUX
fis-1238	240	34	presented	present	VERB
fis-1238	240	35	.	.	PUNCT
fis-1238	241	1	the	the	DET
fis-1238	241	2	aim	aim	NOUN
fis-1238	241	3	is	be	AUX
fis-1238	241	4	to	to	PART
fis-1238	241	5	discuss	discuss	VERB
fis-1238	241	6	the	the	DET
fis-1238	241	7	key	key	ADJ
fis-1238	241	8	aspects	aspect	NOUN
fis-1238	241	9	of	of	ADP
fis-1238	241	10	the	the	DET
fis-1238	241	11	adopted	adopt	VERB
fis-1238	241	12	micropolar	micropolar	ADJ
fis-1238	241	13	formulation	formulation	NOUN
fis-1238	241	14	and	and	CCONJ
fis-1238	241	15	to	to	PART
fis-1238	241	16	stress	stress	VERB
fis-1238	241	17	the	the	DET
fis-1238	241	18	differences	difference	NOUN
fis-1238	241	19	obtained	obtain	VERB
fis-1238	241	20	using	use	VERB
fis-1238	241	21	the	the	DET
fis-1238	241	22	three	three	NUM
fis-1238	241	23	presented	present	VERB
fis-1238	241	24	procedures	procedure	NOUN
fis-1238	241	25	in	in	ADP
fis-1238	241	26	terms	term	NOUN
fis-1238	241	27	of	of	ADP
fis-1238	241	28	the	the	DET
fis-1238	241	29	global	global	ADJ
fis-1238	241	30	response	response	NOUN
fis-1238	241	31	.	.	PUNCT
fis-1238	242	1	it	it	PRON
fis-1238	242	2	would	would	AUX
fis-1238	242	3	appear	appear	VERB
fis-1238	242	4	relevant	relevant	ADJ
fis-1238	242	5	to	to	PART
fis-1238	242	6	carry	carry	VERB
fis-1238	242	7	out	out	ADP
fis-1238	242	8	further	further	ADJ
fis-1238	242	9	developments	development	NOUN
fis-1238	242	10	,	,	PUNCT
fis-1238	242	11	focusing	focus	VERB
fis-1238	242	12	on	on	ADP
fis-1238	242	13	the	the	DET
fis-1238	242	14	formulation	formulation	NOUN
fis-1238	242	15	of	of	ADP
fis-1238	242	16	the	the	DET
fis-1238	242	17	kinematic	kinematic	ADJ
fis-1238	242	18	map	map	NOUN
fis-1238	242	19	linking	link	VERB
fis-1238	242	20	the	the	DET
fis-1238	242	21	macroand	macroand	NOUN
fis-1238	242	22	micro	micro	NOUN
fis-1238	242	23	-	-	NOUN
fis-1238	242	24	levels	level	NOUN
fis-1238	242	25	,	,	PUNCT
fis-1238	242	26	as	as	ADV
fis-1238	242	27	well	well	ADV
fis-1238	242	28	as	as	ADP
fis-1238	242	29	on	on	ADP
fis-1238	242	30	the	the	DET
fis-1238	242	31	improvement	improvement	NOUN
fis-1238	242	32	of	of	ADP
fis-1238	242	33	the	the	DET
fis-1238	242	34	identification	identification	NOUN
fis-1238	242	35	procedure	procedure	NOUN
fis-1238	242	36	.	.	PUNCT
fis-1238	243	1	the	the	DET
fis-1238	243	2	purpose	purpose	NOUN
fis-1238	243	3	is	be	AUX
fis-1238	243	4	to	to	PART
fis-1238	243	5	better	well	ADV
fis-1238	243	6	clarify	clarify	VERB
fis-1238	243	7	some	some	DET
fis-1238	243	8	ongoing	ongoing	ADJ
fis-1238	243	9	issues	issue	NOUN
fis-1238	243	10	and	and	CCONJ
fis-1238	243	11	to	to	PART
fis-1238	243	12	solve	solve	VERB
fis-1238	243	13	inherent	inherent	ADJ
fis-1238	243	14	limitations	limitation	NOUN
fis-1238	243	15	of	of	ADP
fis-1238	243	16	the	the	DET
fis-1238	243	17	procedure	procedure	NOUN
fis-1238	243	18	,	,	PUNCT
fis-1238	243	19	as	as	ADP
fis-1238	243	20	for	for	ADP
fis-1238	243	21	example	example	NOUN
fis-1238	243	22	the	the	DET
fis-1238	243	23	contradictory	contradictory	ADJ
fis-1238	243	24	result	result	NOUN
fis-1238	243	25	consisting	consist	VERB
fis-1238	243	26	in	in	ADP
fis-1238	243	27	nonvanishing	nonvanishe	VERB
fis-1238	243	28	micropolar	micropolar	ADJ
fis-1238	243	29	effects	effect	NOUN
fis-1238	243	30	in	in	ADP
fis-1238	243	31	the	the	DET
fis-1238	243	32	presence	presence	NOUN
fis-1238	243	33	of	of	ADP
fis-1238	243	34	homogeneous	homogeneous	ADJ
fis-1238	243	35	materials	material	NOUN
fis-1238	243	36	.	.	PUNCT
fis-1238	244	1	references	reference	NOUN
fis-1238	244	2	[	[	X
fis-1238	244	3	1	1	NUM
fis-1238	244	4	]	]	PUNCT
fis-1238	244	5	forest	forest	NOUN
fis-1238	244	6	,	,	PUNCT
fis-1238	244	7	s.	s.	PROPN
fis-1238	244	8	,	,	PUNCT
fis-1238	244	9	sab	sab	PROPN
fis-1238	244	10	,	,	PUNCT
fis-1238	244	11	k.	k.	PROPN
fis-1238	244	12	,	,	PUNCT
fis-1238	244	13	cosserat	cosserat	NOUN
fis-1238	244	14	overall	overall	ADJ
fis-1238	244	15	modeling	modeling	NOUN
fis-1238	244	16	of	of	ADP
fis-1238	244	17	heterogeneous	heterogeneous	ADJ
fis-1238	244	18	materials	material	NOUN
fis-1238	244	19	.	.	PUNCT
fis-1238	245	1	mech	mech	NOUN
fis-1238	245	2	res	re	NOUN
fis-1238	245	3	commun	commun	PROPN
fis-1238	245	4	25	25	NUM
fis-1238	245	5	(	(	PUNCT
fis-1238	245	6	1998	1998	NUM
fis-1238	245	7	)	)	PUNCT
fis-1238	245	8	449	449	NUM
fis-1238	245	9	-	-	SYM
fis-1238	245	10	454	454	NUM
fis-1238	245	11	.	.	PUNCT
fis-1238	246	1	[	[	X
fis-1238	246	2	2	2	NUM
fis-1238	246	3	]	]	PUNCT
fis-1238	246	4	kouznetsova	kouznetsova	NOUN
fis-1238	246	5	,	,	PUNCT
fis-1238	246	6	v.	v.	PROPN
fis-1238	246	7	g.	g.	PROPN
fis-1238	246	8	,	,	PUNCT
fis-1238	246	9	computational	computational	ADJ
fis-1238	246	10	homogenization	homogenization	NOUN
fis-1238	246	11	for	for	ADP
fis-1238	246	12	the	the	DET
fis-1238	246	13	multi	multi	ADJ
fis-1238	246	14	-	-	ADJ
fis-1238	246	15	scale	scale	ADJ
fis-1238	246	16	analysis	analysis	NOUN
fis-1238	246	17	of	of	ADP
fis-1238	246	18	multi	multi	ADJ
fis-1238	246	19	-	-	ADJ
fis-1238	246	20	phase	phase	NOUN
fis-1238	246	21	materials	material	NOUN
fis-1238	246	22	.	.	PUNCT
fis-1238	247	1	ph.d	ph.d	PROPN
fis-1238	247	2	.	.	PUNCT
fis-1238	248	1	thesis	thesis	PROPN
fis-1238	248	2	,	,	PUNCT
fis-1238	248	3	technische	technische	PROPN
fis-1238	248	4	universiteit	universiteit	PROPN
fis-1238	248	5	eindhoven	eindhoven	PROPN
fis-1238	248	6	,	,	PUNCT
fis-1238	248	7	(	(	PUNCT
fis-1238	248	8	2002	2002	NUM
fis-1238	248	9	)	)	PUNCT
fis-1238	248	10	.	.	PUNCT
fis-1238	249	1	[	[	X
fis-1238	249	2	3	3	NUM
fis-1238	249	3	]	]	X
fis-1238	249	4	bacigalupo	bacigalupo	NOUN
fis-1238	249	5	,	,	PUNCT
fis-1238	249	6	a.	a.	NOUN
fis-1238	249	7	,	,	PUNCT
fis-1238	249	8	gambarotta	gambarotta	NOUN
fis-1238	249	9	,	,	PUNCT
fis-1238	249	10	l.	l.	PROPN
fis-1238	249	11	,	,	PUNCT
fis-1238	249	12	second	second	ADJ
fis-1238	249	13	-	-	PUNCT
fis-1238	249	14	order	order	NOUN
fis-1238	249	15	computational	computational	ADJ
fis-1238	249	16	homogenization	homogenization	NOUN
fis-1238	249	17	of	of	ADP
fis-1238	249	18	heterogeneous	heterogeneous	ADJ
fis-1238	249	19	materials	material	NOUN
fis-1238	249	20	with	with	ADP
fis-1238	249	21	periodic	periodic	ADJ
fis-1238	249	22	microstructure	microstructure	NOUN
fis-1238	249	23	.	.	PUNCT
fis-1238	250	1	zamm	zamm	PROPN
fis-1238	250	2	-	-	PUNCT
fis-1238	250	3	z	z	PROPN
fis-1238	250	4	angew	angew	PROPN
fis-1238	250	5	math	math	PROPN
fis-1238	250	6	me	me	PROPN
fis-1238	250	7	,	,	PUNCT
fis-1238	250	8	90	90	NUM
fis-1238	250	9	(	(	PUNCT
fis-1238	250	10	11	11	NUM
fis-1238	250	11	)	)	PUNCT
fis-1238	250	12	(	(	PUNCT
fis-1238	250	13	2011)796	2011)796	NUM
fis-1238	250	14	-	-	SYM
fis-1238	250	15	811	811	NUM
fis-1238	250	16	.	.	PUNCT
fis-1238	251	1	[	[	X
fis-1238	251	2	4	4	NUM
fis-1238	251	3	]	]	X
fis-1238	251	4	addessi	addessi	PROPN
fis-1238	251	5	,	,	PUNCT
fis-1238	251	6	d.	d.	PROPN
fis-1238	251	7	,	,	PUNCT
fis-1238	251	8	sacco	sacco	PROPN
fis-1238	251	9	,	,	PUNCT
fis-1238	251	10	e.	e.	PROPN
fis-1238	251	11	,	,	PUNCT
fis-1238	251	12	a	a	DET
fis-1238	251	13	multi	multi	ADJ
fis-1238	251	14	-	-	ADJ
fis-1238	251	15	scale	scale	ADJ
fis-1238	251	16	enriched	enriched	ADJ
fis-1238	251	17	model	model	NOUN
fis-1238	251	18	for	for	ADP
fis-1238	251	19	the	the	DET
fis-1238	251	20	analysis	analysis	NOUN
fis-1238	251	21	of	of	ADP
fis-1238	251	22	masonry	masonry	NOUN
fis-1238	251	23	panel	panel	NOUN
fis-1238	251	24	.	.	PUNCT
fis-1238	252	1	int	int	NOUN
fis-1238	252	2	.	.	PUNCT
fis-1238	253	1	j.	j.	PROPN
fis-1238	253	2	solids	solids	PROPN
fis-1238	253	3	struct	struct	NOUN
fis-1238	253	4	.	.	PUNCT
fis-1238	254	1	49	49	NUM
fis-1238	254	2	(	(	PUNCT
fis-1238	254	3	2012	2012	NUM
fis-1238	254	4	)	)	PUNCT
fis-1238	255	1	865–880	865–880	NUM
fis-1238	255	2	.	.	PUNCT
fis-1238	256	1	[	[	X
fis-1238	256	2	5	5	NUM
fis-1238	256	3	]	]	X
fis-1238	256	4	de	de	X
fis-1238	256	5	bellis	bellis	PROPN
fis-1238	256	6	,	,	PUNCT
fis-1238	256	7	m.	m.	PROPN
fis-1238	256	8	l.	l.	PROPN
fis-1238	256	9	,	,	PUNCT
fis-1238	256	10	addessi	addessi	PROPN
fis-1238	256	11	,	,	PUNCT
fis-1238	256	12	d.	d.	PROPN
fis-1238	256	13	,	,	PUNCT
fis-1238	256	14	a	a	DET
fis-1238	256	15	cosserat	cosserat	NOUN
fis-1238	256	16	based	base	VERB
fis-1238	256	17	multi	multi	ADJ
fis-1238	256	18	-	-	ADJ
fis-1238	256	19	scale	scale	ADJ
fis-1238	256	20	model	model	NOUN
fis-1238	256	21	for	for	ADP
fis-1238	256	22	masonry	masonry	NOUN
fis-1238	256	23	structures	structure	NOUN
fis-1238	256	24	.	.	PUNCT
fis-1238	257	1	int	int	NOUN
fis-1238	257	2	.	.	PUNCT
fis-1238	258	1	j.	j.	PROPN
fis-1238	258	2	multiscale	multiscale	PROPN
fis-1238	258	3	comput	comput	PROPN
fis-1238	258	4	.	.	PUNCT
fis-1238	259	1	eng	eng	PROPN
fis-1238	259	2	.	.	PROPN
fis-1238	259	3	9	9	NUM
fis-1238	259	4	(	(	PUNCT
fis-1238	259	5	2011	2011	NUM
fis-1238	259	6	)	)	PUNCT
fis-1238	259	7	543–563	543–563	NUM
fis-1238	259	8	.	.	PUNCT
fis-1238	260	1	[	[	X
fis-1238	260	2	6	6	NUM
fis-1238	260	3	]	]	X
fis-1238	260	4	addessi	addessi	PROPN
fis-1238	260	5	,	,	PUNCT
fis-1238	260	6	d.	d.	PROPN
fis-1238	260	7	,	,	PUNCT
fis-1238	260	8	sacco	sacco	PROPN
fis-1238	260	9	,	,	PUNCT
fis-1238	260	10	e.	e.	PROPN
fis-1238	260	11	,	,	PUNCT
fis-1238	260	12	paolone	paolone	NOUN
fis-1238	260	13	,	,	PUNCT
fis-1238	260	14	a.	a.	NOUN
fis-1238	260	15	,	,	PUNCT
fis-1238	260	16	cosserat	cosserat	NOUN
fis-1238	260	17	model	model	NOUN
fis-1238	260	18	for	for	ADP
fis-1238	260	19	periodic	periodic	ADJ
fis-1238	260	20	masonry	masonry	NOUN
fis-1238	260	21	deduced	deduce	VERB
fis-1238	260	22	by	by	ADP
fis-1238	260	23	nonlinear	nonlinear	ADJ
fis-1238	260	24	homogenization	homogenization	NOUN
fis-1238	260	25	.	.	PUNCT
fis-1238	261	1	eur	eur	PROPN
fis-1238	261	2	.	.	PUNCT
fis-1238	262	1	j.	j.	PROPN
fis-1238	262	2	mech	mech	PROPN
fis-1238	262	3	.	.	PUNCT
fis-1238	263	1	a	a	DET
fis-1238	263	2	solid	solid	ADJ
fis-1238	263	3	29	29	NUM
fis-1238	263	4	(	(	PUNCT
fis-1238	263	5	2010	2010	NUM
fis-1238	263	6	)	)	PUNCT
fis-1238	264	1	724–737	724–737	NUM
fis-1238	264	2	.	.	PUNCT
fis-1238	265	1	[	[	X
fis-1238	265	2	7	7	X
fis-1238	265	3	]	]	X
fis-1238	265	4	addessi	addessi	PROPN
fis-1238	265	5	,	,	PUNCT
fis-1238	265	6	d.	d.	PROPN
fis-1238	265	7	,	,	PUNCT
fis-1238	265	8	de	de	PROPN
fis-1238	265	9	bellis	bellis	PROPN
fis-1238	265	10	,	,	PUNCT
fis-1238	265	11	m.	m.	PROPN
fis-1238	265	12	l.	l.	PROPN
fis-1238	265	13	,	,	PUNCT
fis-1238	265	14	sacco	sacco	PROPN
fis-1238	265	15	,	,	PUNCT
fis-1238	265	16	e.	e.	PROPN
fis-1238	265	17	,	,	PUNCT
fis-1238	265	18	micromechanical	micromechanical	ADJ
fis-1238	265	19	analysis	analysis	NOUN
fis-1238	265	20	of	of	ADP
fis-1238	265	21	heterogeneous	heterogeneous	ADJ
fis-1238	265	22	materials	material	NOUN
fis-1238	265	23	subjected	subject	VERB
fis-1238	265	24	to	to	ADP
fis-1238	265	25	overall	overall	ADJ
fis-1238	265	26	cosserat	cosserat	NOUN
fis-1238	265	27	strains	strain	NOUN
fis-1238	265	28	.	.	PUNCT
fis-1238	266	1	mech	mech	NOUN
fis-1238	266	2	res	re	NOUN
fis-1238	266	3	commun	commun	PROPN
fis-1238	266	4	54	54	NUM
fis-1238	266	5	,	,	PUNCT
fis-1238	266	6	(	(	PUNCT
fis-1238	266	7	2013	2013	NUM
fis-1238	266	8	)	)	PUNCT
fis-1238	266	9	27	27	NUM
fis-1238	266	10	-	-	SYM
fis-1238	266	11	34	34	NUM
fis-1238	266	12	.	.	PUNCT
fis-1238	267	1	[	[	X
fis-1238	267	2	8	8	NUM
fis-1238	267	3	]	]	PUNCT
fis-1238	267	4	miehe	miehe	ADV
fis-1238	267	5	,	,	PUNCT
fis-1238	267	6	c.	c.	PROPN
fis-1238	267	7	,	,	PUNCT
fis-1238	267	8	schröder	schröder	NOUN
fis-1238	267	9	,	,	PUNCT
fis-1238	267	10	j.	j.	PROPN
fis-1238	267	11	,	,	PUNCT
fis-1238	267	12	becker	becker	PROPN
fis-1238	267	13	,	,	PUNCT
fis-1238	267	14	m.	m.	NOUN
fis-1238	267	15	,	,	PUNCT
fis-1238	267	16	computational	computational	ADJ
fis-1238	267	17	homogenization	homogenization	NOUN
fis-1238	267	18	analysis	analysis	NOUN
fis-1238	267	19	in	in	ADP
fis-1238	267	20	finite	finite	ADJ
fis-1238	267	21	elasticity	elasticity	NOUN
fis-1238	267	22	:	:	PUNCT
fis-1238	267	23	material	material	NOUN
fis-1238	267	24	and	and	CCONJ
fis-1238	267	25	structural	structural	ADJ
fis-1238	267	26	instabilities	instability	NOUN
fis-1238	267	27	on	on	ADP
fis-1238	267	28	the	the	DET
fis-1238	267	29	microand	microand	PROPN
fis-1238	267	30	macro	macro	NOUN
fis-1238	267	31	-	-	NOUN
fis-1238	267	32	scales	scale	NOUN
fis-1238	267	33	of	of	ADP
fis-1238	267	34	periodic	periodic	ADJ
fis-1238	267	35	composites	composite	NOUN
fis-1238	267	36	and	and	CCONJ
fis-1238	267	37	their	their	PRON
fis-1238	267	38	interaction	interaction	NOUN
fis-1238	267	39	,	,	PUNCT
fis-1238	267	40	computer	computer	NOUN
fis-1238	267	41	methods	method	NOUN
fis-1238	267	42	in	in	ADP
fis-1238	267	43	applied	applied	ADJ
fis-1238	267	44	mechanics	mechanic	NOUN
fis-1238	267	45	and	and	CCONJ
fis-1238	267	46	engineering	engineering	NOUN
fis-1238	267	47	191	191	NUM
fis-1238	267	48	(	(	PUNCT
fis-1238	267	49	2002	2002	NUM
fis-1238	267	50	)	)	PUNCT
fis-1238	267	51	,	,	PUNCT
fis-1238	267	52	pp	pp	PROPN
fis-1238	267	53	.	.	PUNCT
fis-1238	267	54	4971	4971	NUM
fis-1238	267	55	-	-	SYM
fis-1238	267	56	5005	5005	NUM
fis-1238	267	57	.	.	PUNCT
fis-1238	268	1	[	[	X
fis-1238	268	2	9	9	NUM
fis-1238	268	3	]	]	PUNCT
fis-1238	268	4	forest	forest	NOUN
fis-1238	268	5	,	,	PUNCT
fis-1238	268	6	s.	s.	PROPN
fis-1238	268	7	,	,	PUNCT
fis-1238	268	8	trinh	trinh	PROPN
fis-1238	268	9	,	,	PUNCT
fis-1238	268	10	d.	d.	PROPN
fis-1238	268	11	,	,	PUNCT
fis-1238	268	12	generalized	generalized	ADJ
fis-1238	268	13	continua	continuum	NOUN
fis-1238	268	14	and	and	CCONJ
fis-1238	268	15	non	non	ADJ
fis-1238	268	16	-	-	ADJ
fis-1238	268	17	homogeneous	homogeneous	ADJ
fis-1238	268	18	boundary	boundary	ADJ
fis-1238	268	19	conditions	condition	NOUN
fis-1238	268	20	in	in	ADP
fis-1238	268	21	homogenisation	homogenisation	NOUN
fis-1238	268	22	methods	method	NOUN
fis-1238	268	23	.	.	PUNCT
fis-1238	269	1	zamm	zamm	PROPN
fis-1238	269	2	-	-	PUNCT
fis-1238	269	3	z	z	PROPN
fis-1238	269	4	angew	angew	PROPN
fis-1238	269	5	math	math	NOUN
fis-1238	269	6	me	i	PRON
fis-1238	269	7	91	91	NUM
fis-1238	269	8	(	(	PUNCT
fis-1238	269	9	2	2	NUM
fis-1238	269	10	)	)	PUNCT
fis-1238	269	11	(	(	PUNCT
fis-1238	269	12	2011	2011	NUM
fis-1238	269	13	)	)	PUNCT
fis-1238	269	14	90	90	NUM
fis-1238	269	15	-	-	SYM
fis-1238	269	16	109	109	NUM
fis-1238	269	17	.	.	PUNCT
fis-1238	270	1	[	[	X
fis-1238	270	2	10	10	NUM
fis-1238	270	3	]	]	X
fis-1238	270	4	bouyge	bouyge	NOUN
fis-1238	270	5	,	,	PUNCT
fis-1238	270	6	f.	f.	PROPN
fis-1238	270	7	,	,	PUNCT
fis-1238	270	8	jasiuk	jasiuk	PROPN
fis-1238	270	9	,	,	PUNCT
fis-1238	270	10	i.	i.	NOUN
fis-1238	270	11	,	,	PUNCT
fis-1238	270	12	boccara	boccara	PROPN
fis-1238	270	13	,	,	PUNCT
fis-1238	270	14	s.	s.	PROPN
fis-1238	270	15	,	,	PUNCT
fis-1238	270	16	ostoja	ostoja	NOUN
fis-1238	270	17	-	-	PUNCT
fis-1238	270	18	starzewski	starzewski	ADJ
fis-1238	270	19	,	,	PUNCT
fis-1238	270	20	m.	m.	NOUN
fis-1238	270	21	,	,	PUNCT
fis-1238	270	22	a	a	DET
fis-1238	270	23	micromechanically	micromechanically	ADV
fis-1238	270	24	based	base	VERB
fis-1238	270	25	couple	couple	NOUN
fis-1238	270	26	-	-	PUNCT
fis-1238	270	27	stress	stress	NOUN
fis-1238	270	28	model	model	NOUN
fis-1238	270	29	of	of	ADP
fis-1238	270	30	an	an	DET
fis-1238	270	31	elastic	elastic	ADJ
fis-1238	270	32	orthotropic	orthotropic	ADJ
fis-1238	270	33	two	two	NUM
fis-1238	270	34	-	-	PUNCT
fis-1238	270	35	phase	phase	NOUN
fis-1238	270	36	composite	composite	NOUN
fis-1238	270	37	.	.	PUNCT
fis-1238	271	1	eur	eur	PROPN
fis-1238	271	2	j	j	PROPN
fis-1238	271	3	mech	mech	NOUN
fis-1238	271	4	a	a	DET
fis-1238	271	5	-	-	PUNCT
fis-1238	271	6	solid	solid	ADJ
fis-1238	271	7	,	,	PUNCT
fis-1238	271	8	21	21	NUM
fis-1238	271	9	(	(	PUNCT
fis-1238	271	10	2002	2002	NUM
fis-1238	271	11	)	)	PUNCT
fis-1238	271	12	465	465	NUM
fis-1238	271	13	-	-	SYM
fis-1238	271	14	481	481	NUM
fis-1238	271	15	.	.	PUNCT
fis-1238	272	1	[	[	X
fis-1238	272	2	11	11	NUM
fis-1238	272	3	]	]	X
fis-1238	272	4	addessi	addessi	PROPN
fis-1238	272	5	,	,	PUNCT
fis-1238	272	6	d.	d.	PROPN
fis-1238	272	7	,	,	PUNCT
fis-1238	272	8	de	de	PROPN
fis-1238	272	9	bellis	bellis	PROPN
fis-1238	272	10	,	,	PUNCT
fis-1238	272	11	m.	m.	PROPN
fis-1238	272	12	l.	l.	PROPN
fis-1238	272	13	,	,	PUNCT
fis-1238	272	14	sacco	sacco	PROPN
fis-1238	272	15	,	,	PUNCT
fis-1238	272	16	e.	e.	PROPN
fis-1238	272	17	,	,	PUNCT
fis-1238	272	18	cosserat	cosserat	NOUN
fis-1238	272	19	modeling	modeling	NOUN
fis-1238	272	20	of	of	ADP
fis-1238	272	21	heterogeneous	heterogeneous	ADJ
fis-1238	272	22	periodic	periodic	ADJ
fis-1238	272	23	media	medium	NOUN
fis-1238	272	24	adopting	adopt	VERB
fis-1238	272	25	a	a	DET
fis-1238	272	26	micromechanical	micromechanical	ADJ
fis-1238	272	27	approach	approach	NOUN
fis-1238	272	28	.	.	PUNCT
fis-1238	273	1	int	int	NOUN
fis-1238	273	2	.	.	PUNCT
fis-1238	274	1	j.	j.	PROPN
fis-1238	274	2	solids	solids	PROPN
fis-1238	274	3	struct	struct	NOUN
fis-1238	274	4	.	.	PUNCT
fis-1238	274	5	,	,	PUNCT
fis-1238	274	6	(	(	PUNCT
fis-1238	274	7	2014	2014	NUM
fis-1238	274	8	)	)	PUNCT
fis-1238	274	9	under	under	ADP
fis-1238	274	10	review	review	NOUN
fis-1238	274	11	.	.	PUNCT
fis-1238	275	1	[	[	X
fis-1238	275	2	12	12	NUM
fis-1238	275	3	]	]	X
fis-1238	275	4	yuan	yuan	NOUN
fis-1238	275	5	,	,	PUNCT
fis-1238	275	6	x.	x.	PROPN
fis-1238	275	7	,	,	PUNCT
fis-1238	275	8	tomita	tomita	PROPN
fis-1238	275	9	,	,	PUNCT
fis-1238	275	10	y.	y.	NOUN
fis-1238	275	11	,	,	PUNCT
fis-1238	275	12	andou	andou	ADJ
fis-1238	275	13	,	,	PUNCT
fis-1238	275	14	t.	t.	NOUN
fis-1238	275	15	,	,	PUNCT
fis-1238	275	16	2008	2008	NUM
fis-1238	275	17	.	.	PUNCT
fis-1238	276	1	a	a	DET
fis-1238	276	2	micromechanical	micromechanical	ADJ
fis-1238	276	3	approach	approach	NOUN
fis-1238	276	4	of	of	ADP
fis-1238	276	5	nonlocal	nonlocal	ADJ
fis-1238	276	6	modelling	modelling	NOUN
fis-1238	276	7	for	for	ADP
fis-1238	276	8	media	medium	NOUN
fis-1238	276	9	with	with	ADP
fis-1238	276	10	periodic	periodic	ADJ
fis-1238	276	11	microstructures	microstructure	NOUN
fis-1238	276	12	.	.	PUNCT
fis-1238	277	1	mech	mech	PROPN
fis-1238	277	2	res	re	NOUN
fis-1238	277	3	commun	commun	PROPN
fis-1238	277	4	,	,	PUNCT
fis-1238	277	5	35	35	NUM
fis-1238	277	6	(	(	PUNCT
fis-1238	277	7	1	1	NUM
fis-1238	277	8	-	-	SYM
fis-1238	277	9	2	2	NUM
fis-1238	277	10	)	)	PUNCT
fis-1238	277	11	(	(	PUNCT
fis-1238	277	12	2008	2008	NUM
fis-1238	277	13	)	)	PUNCT
fis-1238	277	14	126	126	NUM
fis-1238	277	15	-133	-133	PROPN
fis-1238	277	16	.	.	PUNCT
fis-1238	278	1	[	[	X
fis-1238	278	2	13	13	NUM
fis-1238	278	3	]	]	SYM
fis-1238	278	4	tran	tran	NOUN
fis-1238	278	5	,	,	PUNCT
fis-1238	278	6	t.	t.	PROPN
fis-1238	278	7	h.	h.	PROPN
fis-1238	278	8	,	,	PUNCT
fis-1238	278	9	monchiet	monchiet	NOUN
fis-1238	278	10	,	,	PUNCT
fis-1238	278	11	v.	v.	ADV
fis-1238	278	12	,	,	PUNCT
fis-1238	278	13	bonnet	bonnet	NOUN
fis-1238	278	14	,	,	PUNCT
fis-1238	278	15	g.	g.	PROPN
fis-1238	278	16	,	,	PUNCT
fis-1238	278	17	a	a	DET
fis-1238	278	18	micromechanics	micromechanic	NOUN
fis-1238	278	19	-	-	PUNCT
fis-1238	278	20	based	base	VERB
fis-1238	278	21	approach	approach	NOUN
fis-1238	278	22	for	for	ADP
fis-1238	278	23	the	the	DET
fis-1238	278	24	derivation	derivation	NOUN
fis-1238	278	25	of	of	ADP
fis-1238	278	26	constitutive	constitutive	ADJ
fis-1238	278	27	elastic	elastic	ADJ
fis-1238	278	28	coefficients	coefficient	NOUN
fis-1238	278	29	of	of	ADP
fis-1238	278	30	strain	strain	NOUN
fis-1238	278	31	-	-	PUNCT
fis-1238	278	32	gradient	gradient	NOUN
fis-1238	278	33	media	medium	NOUN
fis-1238	278	34	,	,	PUNCT
fis-1238	278	35	int	int	PROPN
fis-1238	278	36	j	j	PROPN
fis-1238	278	37	solids	solid	NOUN
fis-1238	278	38	struct	struct	NOUN
fis-1238	278	39	,	,	PUNCT
fis-1238	278	40	49	49	NUM
fis-1238	278	41	(	(	PUNCT
fis-1238	278	42	2012	2012	NUM
fis-1238	278	43	)	)	PUNCT
fis-1238	278	44	783	783	NUM
fis-1238	278	45	-	-	SYM
fis-1238	278	46	792	792	NUM
fis-1238	278	47	.	.	PUNCT
fis-1238	279	1	[	[	X
fis-1238	279	2	14	14	NUM
fis-1238	279	3	]	]	X
fis-1238	279	4	bacigalupo	bacigalupo	NOUN
fis-1238	279	5	,	,	PUNCT
fis-1238	279	6	a.	a.	NOUN
fis-1238	279	7	,	,	PUNCT
fis-1238	279	8	gambarotta	gambarotta	NOUN
fis-1238	279	9	,	,	PUNCT
fis-1238	279	10	l.	l.	PROPN
fis-1238	279	11	,	,	PUNCT
fis-1238	279	12	computational	computational	ADJ
fis-1238	279	13	two	two	NUM
fis-1238	279	14	-	-	PUNCT
fis-1238	279	15	scale	scale	NOUN
fis-1238	279	16	homogenization	homogenization	NOUN
fis-1238	279	17	of	of	ADP
fis-1238	279	18	periodic	periodic	ADJ
fis-1238	279	19	masonry	masonry	NOUN
fis-1238	279	20	:	:	PUNCT
fis-1238	279	21	characteristic	characteristic	ADJ
fis-1238	279	22	lengths	length	NOUN
fis-1238	279	23	and	and	CCONJ
fis-1238	279	24	dispersive	dispersive	ADJ
fis-1238	279	25	waves	wave	NOUN
fis-1238	279	26	,	,	PUNCT
fis-1238	279	27	comput	comput	NOUN
fis-1238	279	28	method	method	NOUN
fis-1238	279	29	appl	appl	NOUN
fis-1238	279	30	m.	m.	NOUN
fis-1238	279	31	,	,	PUNCT
fis-1238	279	32	213	213	NUM
fis-1238	279	33	-	-	SYM
fis-1238	279	34	216	216	NUM
fis-1238	279	35	(	(	PUNCT
fis-1238	279	36	2012	2012	NUM
fis-1238	279	37	)	)	PUNCT
fis-1238	279	38	16	16	NUM
fis-1238	279	39	-	-	SYM
fis-1238	279	40	28	28	NUM
fis-1238	279	41	.	.	PUNCT
fis-1238	280	1	[	[	X
fis-1238	280	2	15	15	NUM
fis-1238	280	3	]	]	X
fis-1238	280	4	bacigalupo	bacigalupo	NOUN
fis-1238	280	5	,	,	PUNCT
fis-1238	280	6	a.	a.	NOUN
fis-1238	280	7	,	,	PUNCT
fis-1238	280	8	gambarotta	gambarotta	NOUN
fis-1238	280	9	,	,	PUNCT
fis-1238	280	10	l.	l.	PROPN
fis-1238	280	11	,	,	PUNCT
fis-1238	280	12	second	second	ADJ
fis-1238	280	13	-	-	PUNCT
fis-1238	280	14	order	order	NOUN
fis-1238	280	15	computational	computational	ADJ
fis-1238	280	16	homogenization	homogenization	NOUN
fis-1238	280	17	of	of	ADP
fis-1238	280	18	heterogeneous	heterogeneous	ADJ
fis-1238	280	19	materials	material	NOUN
fis-1238	280	20	with	with	ADP
fis-1238	280	21	periodic	periodic	ADJ
fis-1238	280	22	microstructure	microstructure	NOUN
fis-1238	280	23	.	.	PUNCT
fis-1238	281	1	zamm	zamm	PROPN
fis-1238	281	2	-	-	PUNCT
fis-1238	281	3	z	z	PROPN
fis-1238	281	4	angew	angew	PROPN
fis-1238	281	5	math	math	PROPN
fis-1238	281	6	me	me	PROPN
fis-1238	281	7	,	,	PUNCT
fis-1238	281	8	90	90	NUM
fis-1238	281	9	(	(	PUNCT
fis-1238	281	10	11	11	NUM
fis-1238	281	11	)	)	PUNCT
fis-1238	281	12	(	(	PUNCT
fis-1238	281	13	2011	2011	NUM
fis-1238	281	14	)	)	PUNCT
fis-1238	281	15	796	796	NUM
fis-1238	281	16	-	-	SYM
fis-1238	281	17	811	811	NUM
fis-1238	281	18	.	.	PUNCT