id	sid	tid	token	lemma	pos
fis-3194	1	1	shot	shoot	VERB
fis-3194	1	2	peening	peene	VERB
fis-3194	1	3	processes	process	NOUN
fis-3194	1	4	to	to	PART
fis-3194	1	5	obtain	obtain	VERB
fis-3194	1	6	nanocrystalline	nanocrystalline	ADJ
fis-3194	1	7	surfaces	surface	NOUN
fis-3194	1	8	in	in	ADP
fis-3194	1	9	metal	metal	NOUN
fis-3194	1	10	alloys	alloy	NOUN
fis-3194	1	11	:	:	PUNCT
fis-3194	1	12	k.	k.	PROPN
fis-3194	1	13	benyahi	benyahi	PROPN
fis-3194	1	14	et	et	PROPN
fis-3194	1	15	alii	alii	PROPN
fis-3194	1	16	,	,	PUNCT
fis-3194	1	17	frattura	frattura	PROPN
fis-3194	1	18	ed	ed	PROPN
fis-3194	1	19	integrità	integrità	PROPN
fis-3194	1	20	strutturale	strutturale	PROPN
fis-3194	1	21	,	,	PUNCT
fis-3194	1	22	58	58	NUM
fis-3194	1	23	(	(	PUNCT
fis-3194	1	24	2021	2021	NUM
fis-3194	1	25	)	)	PUNCT
fis-3194	1	26	319	319	NUM
fis-3194	1	27	-	-	SYM
fis-3194	1	28	343	343	NUM
fis-3194	1	29	;	;	PUNCT
fis-3194	1	30	doi	doi	NOUN
fis-3194	1	31	:	:	PUNCT
fis-3194	1	32	10.3221	10.3221	NUM
fis-3194	1	33	/	/	SYM
fis-3194	1	34	igf	igf	PROPN
fis-3194	1	35	-	-	PUNCT
fis-3194	1	36	esis.58.24	esis.58.24	ADJ
fis-3194	1	37	319	319	NUM
fis-3194	1	38	periodic	periodic	ADJ
fis-3194	1	39	homogenization	homogenization	NOUN
fis-3194	1	40	and	and	CCONJ
fis-3194	1	41	damage	damage	NOUN
fis-3194	1	42	evolution	evolution	NOUN
fis-3194	1	43	in	in	ADP
fis-3194	1	44	rve	rve	PROPN
fis-3194	1	45	composite	composite	ADJ
fis-3194	1	46	material	material	NOUN
fis-3194	1	47	with	with	ADP
fis-3194	1	48	inclusion	inclusion	NOUN
fis-3194	1	49	karim	karim	PROPN
fis-3194	1	50	benyahi	benyahi	PROPN
fis-3194	1	51	,	,	PUNCT
fis-3194	1	52	youcef	youcef	PROPN
fis-3194	1	53	bouafia	bouafia	NOUN
fis-3194	1	54	,	,	PUNCT
fis-3194	1	55	mohand	mohand	NOUN
fis-3194	1	56	said	say	VERB
fis-3194	1	57	kachi	kachi	PROPN
fis-3194	1	58	,	,	PUNCT
fis-3194	1	59	amel	amel	PROPN
fis-3194	1	60	hamri	hamri	PROPN
fis-3194	1	61	department	department	PROPN
fis-3194	1	62	of	of	ADP
fis-3194	1	63	civil	civil	ADJ
fis-3194	1	64	engineering	engineering	NOUN
fis-3194	1	65	,	,	PUNCT
fis-3194	1	66	mouloud	mouloud	PROPN
fis-3194	1	67	mammeri	mammeri	PROPN
fis-3194	1	68	university	university	PROPN
fis-3194	1	69	,	,	PUNCT
fis-3194	1	70	15000	15000	NUM
fis-3194	1	71	tizi	tizi	NOUN
fis-3194	1	72	ouzou	ouzou	NOUN
fis-3194	1	73	,	,	PUNCT
fis-3194	1	74	algeria	algeria	PROPN
fis-3194	1	75	.	.	PUNCT
fis-3194	2	1	karim.benyahi@ummto.dz	karim.benyahi@ummto.dz	PROPN
fis-3194	2	2	,	,	PUNCT
fis-3194	2	3	https://orcid.org/0000-0003-2033-6217	https://orcid.org/0000-0003-2033-6217	PROPN
fis-3194	2	4	youcef.bouafia2012@yahoo.com	youcef.bouafia2012@yahoo.com	PROPN
fis-3194	2	5	,	,	PUNCT
fis-3194	2	6	kachi_ms@yahoo.fr	kachi_ms@yahoo.fr	PROPN
fis-3194	2	7	,	,	PUNCT
fis-3194	2	8	hamri.a@hotmail.com	hamri.a@hotmail.com	PROPN
fis-3194	2	9	sarah	sarah	PROPN
fis-3194	2	10	benakli	benakli	PROPN
fis-3194	2	11	laboratory	laboratory	PROPN
fis-3194	2	12	lmssc	lmssc	PROPN
fis-3194	2	13	,	,	PUNCT
fis-3194	2	14	national	national	ADJ
fis-3194	2	15	conservatory	conservatory	NOUN
fis-3194	2	16	of	of	ADP
fis-3194	2	17	arts	art	NOUN
fis-3194	2	18	and	and	CCONJ
fis-3194	2	19	crafts	craft	NOUN
fis-3194	2	20	(	(	PUNCT
fis-3194	2	21	cnam	cnam	PROPN
fis-3194	2	22	paris	paris	PROPN
fis-3194	2	23	)	)	PUNCT
fis-3194	2	24	,	,	PUNCT
fis-3194	2	25	france	france	PROPN
fis-3194	2	26	.	.	PUNCT
fis-3194	3	1	benakli.s@gmail.com	benakli.s@gmail.com	AUX
fis-3194	3	2	abstract	abstract	PROPN
fis-3194	3	3	.	.	PUNCT
fis-3194	4	1	this	this	DET
fis-3194	4	2	work	work	NOUN
fis-3194	4	3	deals	deal	VERB
fis-3194	4	4	with	with	ADP
fis-3194	4	5	the	the	DET
fis-3194	4	6	coupling	coupling	NOUN
fis-3194	4	7	between	between	ADP
fis-3194	4	8	a	a	DET
fis-3194	4	9	periodic	periodic	ADJ
fis-3194	4	10	homogenization	homogenization	NOUN
fis-3194	4	11	procedure	procedure	NOUN
fis-3194	4	12	,	,	PUNCT
fis-3194	4	13	and	and	CCONJ
fis-3194	4	14	a	a	DET
fis-3194	4	15	damage	damage	NOUN
fis-3194	4	16	process	process	NOUN
fis-3194	4	17	occurring	occur	VERB
fis-3194	4	18	in	in	ADP
fis-3194	4	19	a	a	DET
fis-3194	4	20	representative	representative	ADJ
fis-3194	4	21	volume	volume	NOUN
fis-3194	4	22	element	element	NOUN
fis-3194	4	23	(	(	PUNCT
fis-3194	4	24	rve	rve	PROPN
fis-3194	4	25	)	)	PUNCT
fis-3194	4	26	of	of	ADP
fis-3194	4	27	inclusion	inclusion	NOUN
fis-3194	4	28	composite	composite	ADJ
fis-3194	4	29	materials	material	NOUN
fis-3194	4	30	.	.	PUNCT
fis-3194	5	1	we	we	PRON
fis-3194	5	2	mainly	mainly	ADV
fis-3194	5	3	seek	seek	VERB
fis-3194	5	4	,	,	PUNCT
fis-3194	5	5	on	on	ADP
fis-3194	5	6	the	the	DET
fis-3194	5	7	one	one	NUM
fis-3194	5	8	hand	hand	NOUN
fis-3194	5	9	to	to	PART
fis-3194	5	10	determine	determine	VERB
fis-3194	5	11	the	the	DET
fis-3194	5	12	effective	effective	ADJ
fis-3194	5	13	mechanical	mechanical	ADJ
fis-3194	5	14	properties	property	NOUN
fis-3194	5	15	according	accord	VERB
fis-3194	5	16	to	to	ADP
fis-3194	5	17	the	the	DET
fis-3194	5	18	different	different	ADJ
fis-3194	5	19	volume	volume	NOUN
fis-3194	5	20	fractions	fraction	NOUN
fis-3194	5	21	,	,	PUNCT
fis-3194	5	22	and	and	CCONJ
fis-3194	5	23	forms	form	NOUN
fis-3194	5	24	of	of	ADP
fis-3194	5	25	inclusions	inclusion	NOUN
fis-3194	5	26	for	for	ADP
fis-3194	5	27	a	a	DET
fis-3194	5	28	composite	composite	NOUN
fis-3194	5	29	with	with	ADP
fis-3194	5	30	inclusions	inclusion	NOUN
fis-3194	5	31	at	at	ADP
fis-3194	5	32	the	the	DET
fis-3194	5	33	macroscopic	macroscopic	ADJ
fis-3194	5	34	level	level	NOUN
fis-3194	5	35	.	.	PUNCT
fis-3194	6	1	on	on	ADP
fis-3194	6	2	the	the	DET
fis-3194	6	3	other	other	ADJ
fis-3194	6	4	hand	hand	NOUN
fis-3194	6	5	,	,	PUNCT
fis-3194	6	6	to	to	PART
fis-3194	6	7	explore	explore	VERB
fis-3194	6	8	the	the	DET
fis-3194	6	9	rupture	rupture	NOUN
fis-3194	6	10	mechanisms	mechanism	NOUN
fis-3194	6	11	that	that	PRON
fis-3194	6	12	can	can	AUX
fis-3194	6	13	take	take	VERB
fis-3194	6	14	place	place	NOUN
fis-3194	6	15	at	at	ADP
fis-3194	6	16	the	the	DET
fis-3194	6	17	microstructure	microstructure	ADJ
fis-3194	6	18	level	level	NOUN
fis-3194	6	19	.	.	PUNCT
fis-3194	7	1	to	to	PART
fis-3194	7	2	do	do	VERB
fis-3194	7	3	this	this	PRON
fis-3194	7	4	;	;	PUNCT
fis-3194	7	5	the	the	DET
fis-3194	7	6	first	first	ADJ
fis-3194	7	7	step	step	NOUN
fis-3194	7	8	is	be	AUX
fis-3194	7	9	to	to	PART
fis-3194	7	10	propose	propose	VERB
fis-3194	7	11	a	a	DET
fis-3194	7	12	periodic	periodic	ADJ
fis-3194	7	13	homogenization	homogenization	NOUN
fis-3194	7	14	procedure	procedure	NOUN
fis-3194	7	15	,	,	PUNCT
fis-3194	7	16	to	to	PART
fis-3194	7	17	predict	predict	VERB
fis-3194	7	18	the	the	DET
fis-3194	7	19	homogenized	homogenized	ADJ
fis-3194	7	20	mechanical	mechanical	ADJ
fis-3194	7	21	characteristics	characteristic	NOUN
fis-3194	7	22	of	of	ADP
fis-3194	7	23	an	an	DET
fis-3194	7	24	inclusion	inclusion	NOUN
fis-3194	7	25	composite	composite	NOUN
fis-3194	7	26	.	.	PUNCT
fis-3194	8	1	this	this	DET
fis-3194	8	2	homogenization	homogenization	NOUN
fis-3194	8	3	procedure	procedure	NOUN
fis-3194	8	4	is	be	AUX
fis-3194	8	5	applied	apply	VERB
fis-3194	8	6	to	to	ADP
fis-3194	8	7	the	the	DET
fis-3194	8	8	theory	theory	NOUN
fis-3194	8	9	based	base	VERB
fis-3194	8	10	on	on	ADP
fis-3194	8	11	finite	finite	ADJ
fis-3194	8	12	element	element	NOUN
fis-3194	8	13	analysis	analysis	NOUN
fis-3194	8	14	,	,	PUNCT
fis-3194	8	15	by	by	ADP
fis-3194	8	16	the	the	DET
fis-3194	8	17	abaqus	abaqus	PROPN
fis-3194	8	18	calculation	calculation	NOUN
fis-3194	8	19	code	code	NOUN
fis-3194	8	20	.	.	PUNCT
fis-3194	9	1	the	the	DET
fis-3194	9	2	inclusions	inclusion	NOUN
fis-3194	9	3	are	be	AUX
fis-3194	9	4	modeled	model	VERB
fis-3194	9	5	by	by	ADP
fis-3194	9	6	a	a	DET
fis-3194	9	7	random	random	ADJ
fis-3194	9	8	object	object	NOUN
fis-3194	9	9	modeler	modeler	NOUN
fis-3194	9	10	,	,	PUNCT
fis-3194	9	11	and	and	CCONJ
fis-3194	9	12	the	the	DET
fis-3194	9	13	periodic	periodic	ADJ
fis-3194	9	14	homogenization	homogenization	NOUN
fis-3194	9	15	method	method	NOUN
fis-3194	9	16	is	be	AUX
fis-3194	9	17	implemented	implement	VERB
fis-3194	9	18	by	by	ADP
fis-3194	9	19	python	python	NOUN
fis-3194	9	20	scripts	script	NOUN
fis-3194	9	21	.	.	PUNCT
fis-3194	10	1	it	it	PRON
fis-3194	10	2	is	be	AUX
fis-3194	10	3	then	then	ADV
fis-3194	10	4	a	a	DET
fis-3194	10	5	matter	matter	NOUN
fis-3194	10	6	of	of	ADP
fis-3194	10	7	introducing	introduce	VERB
fis-3194	10	8	the	the	DET
fis-3194	10	9	damage	damage	NOUN
fis-3194	10	10	into	into	ADP
fis-3194	10	11	the	the	DET
fis-3194	10	12	problem	problem	NOUN
fis-3194	10	13	of	of	ADP
fis-3194	10	14	homogenization	homogenization	NOUN
fis-3194	10	15	,	,	PUNCT
fis-3194	10	16	that	that	PRON
fis-3194	10	17	is	be	AUX
fis-3194	10	18	to	to	PART
fis-3194	10	19	say	say	VERB
fis-3194	10	20	;	;	PUNCT
fis-3194	10	21	once	once	SCONJ
fis-3194	10	22	the	the	DET
fis-3194	10	23	homogenized	homogenized	ADJ
fis-3194	10	24	characteristics	characteristic	NOUN
fis-3194	10	25	are	be	AUX
fis-3194	10	26	assessed	assess	VERB
fis-3194	10	27	in	in	ADP
fis-3194	10	28	the	the	DET
fis-3194	10	29	absence	absence	NOUN
fis-3194	10	30	of	of	ADP
fis-3194	10	31	the	the	DET
fis-3194	10	32	damage	damage	NOUN
fis-3194	10	33	initiated	initiate	VERB
fis-3194	10	34	,	,	PUNCT
fis-3194	10	35	by	by	ADP
fis-3194	10	36	microcracks	microcrack	NOUN
fis-3194	10	37	and	and	CCONJ
fis-3194	10	38	micro	micro	NOUN
fis-3194	10	39	cavitations	cavitation	NOUN
fis-3194	10	40	.	.	PUNCT
fis-3194	11	1	it	it	PRON
fis-3194	11	2	is	be	AUX
fis-3194	11	3	then	then	ADV
fis-3194	11	4	possible	possible	ADJ
fis-3194	11	5	to	to	PART
fis-3194	11	6	introduce	introduce	VERB
fis-3194	11	7	damage	damage	NOUN
fis-3194	11	8	models	model	NOUN
fis-3194	11	9	,	,	PUNCT
fis-3194	11	10	by	by	ADP
fis-3194	11	11	a	a	DET
fis-3194	11	12	subroutine	subroutine	NOUN
fis-3194	11	13	(	(	PUNCT
fis-3194	11	14	umat	umat	PROPN
fis-3194	11	15	)	)	PUNCT
fis-3194	11	16	in	in	ADP
fis-3194	11	17	the	the	DET
fis-3194	11	18	abaqus	abaqus	PROPN
fis-3194	11	19	calculation	calculation	NOUN
fis-3194	11	20	code	code	NOUN
fis-3194	11	21	.	.	PUNCT
fis-3194	12	1	the	the	DET
fis-3194	12	2	verifications	verification	NOUN
fis-3194	12	3	carried	carry	VERB
fis-3194	12	4	out	out	ADP
fis-3194	12	5	focused	focus	VERB
fis-3194	12	6	on	on	ADP
fis-3194	12	7	rve	rve	PROPN
fis-3194	12	8	of	of	ADP
fis-3194	12	9	composite	composite	ADJ
fis-3194	12	10	materials	material	NOUN
fis-3194	12	11	with	with	ADP
fis-3194	12	12	inclusions	inclusion	NOUN
fis-3194	12	13	.	.	PUNCT
fis-3194	13	1	keywords	keyword	NOUN
fis-3194	13	2	.	.	PUNCT
fis-3194	14	1	periodic	periodic	ADJ
fis-3194	14	2	homogenization	homogenization	NOUN
fis-3194	14	3	;	;	PUNCT
fis-3194	14	4	elastic	elastic	ADJ
fis-3194	14	5	;	;	PUNCT
fis-3194	14	6	modeling	modeling	NOUN
fis-3194	14	7	;	;	PUNCT
fis-3194	14	8	inclusion	inclusion	NOUN
fis-3194	14	9	;	;	PUNCT
fis-3194	14	10	damage	damage	NOUN
fis-3194	14	11	.	.	PUNCT
fis-3194	15	1	citation	citation	NOUN
fis-3194	15	2	:	:	PUNCT
fis-3194	16	1	benyahi	benyahi	PROPN
fis-3194	16	2	,	,	PUNCT
fis-3194	16	3	k.	k.	PROPN
fis-3194	16	4	,	,	PUNCT
fis-3194	16	5	bouafia	bouafia	NOUN
fis-3194	16	6	,	,	PUNCT
fis-3194	16	7	y.	y.	PROPN
fis-3194	16	8	,	,	PUNCT
fis-3194	16	9	kachi	kachi	PROPN
fis-3194	16	10	,	,	PUNCT
fis-3194	16	11	ms	ms	PROPN
fis-3194	16	12	.	.	PROPN
fis-3194	16	13	,	,	PUNCT
fis-3194	16	14	benakli	benakli	PROPN
fis-3194	16	15	,	,	PUNCT
fis-3194	16	16	s.	s.	PROPN
fis-3194	16	17	,	,	PUNCT
fis-3194	16	18	hamri	hamri	PROPN
fis-3194	16	19	,	,	PUNCT
fis-3194	16	20	a.	a.	NOUN
fis-3194	16	21	,	,	PUNCT
fis-3194	16	22	periodic	periodic	ADJ
fis-3194	16	23	homogenization	homogenization	NOUN
fis-3194	16	24	and	and	CCONJ
fis-3194	16	25	damage	damage	NOUN
fis-3194	16	26	evolution	evolution	NOUN
fis-3194	16	27	in	in	ADP
fis-3194	16	28	rve	rve	PROPN
fis-3194	16	29	composite	composite	ADJ
fis-3194	16	30	material	material	NOUN
fis-3194	16	31	with	with	ADP
fis-3194	16	32	inclusion	inclusion	NOUN
fis-3194	16	33	,	,	PUNCT
fis-3194	16	34	frattura	frattura	PROPN
fis-3194	16	35	ed	ed	PROPN
fis-3194	16	36	integrità	integrità	PROPN
fis-3194	16	37	strutturale	strutturale	PROPN
fis-3194	16	38	,	,	PUNCT
fis-3194	16	39	58	58	NUM
fis-3194	16	40	(	(	PUNCT
fis-3194	16	41	2021	2021	NUM
fis-3194	16	42	)	)	PUNCT
fis-3194	16	43	319	319	NUM
fis-3194	16	44	-	-	SYM
fis-3194	16	45	343	343	NUM
fis-3194	16	46	.	.	PUNCT
fis-3194	16	47	received	receive	VERB
fis-3194	16	48	:	:	PUNCT
fis-3194	16	49	18.07.2021	18.07.2021	NUM
fis-3194	16	50	accepted	accepted	ADJ
fis-3194	16	51	:	:	PUNCT
fis-3194	16	52	11.09.2021	11.09.2021	NUM
fis-3194	16	53	published	publish	VERB
fis-3194	16	54	:	:	PUNCT
fis-3194	16	55	01.10.2021	01.10.2021	NUM
fis-3194	17	1	copyright	copyright	NOUN
fis-3194	17	2	:	:	PUNCT
fis-3194	17	3	©	©	PROPN
fis-3194	17	4	2021	2021	NUM
fis-3194	17	5	this	this	PRON
fis-3194	17	6	is	be	AUX
fis-3194	17	7	an	an	DET
fis-3194	17	8	open	open	ADJ
fis-3194	17	9	access	access	NOUN
fis-3194	17	10	article	article	NOUN
fis-3194	17	11	under	under	ADP
fis-3194	17	12	the	the	DET
fis-3194	17	13	terms	term	NOUN
fis-3194	17	14	of	of	ADP
fis-3194	17	15	the	the	DET
fis-3194	17	16	cc	cc	NOUN
fis-3194	17	17	-	-	PUNCT
fis-3194	17	18	by	by	ADP
fis-3194	17	19	4.0	4.0	NUM
fis-3194	17	20	,	,	PUNCT
fis-3194	17	21	which	which	PRON
fis-3194	17	22	permits	permit	VERB
fis-3194	17	23	unrestricted	unrestricted	ADJ
fis-3194	17	24	use	use	NOUN
fis-3194	17	25	,	,	PUNCT
fis-3194	17	26	distribution	distribution	NOUN
fis-3194	17	27	,	,	PUNCT
fis-3194	17	28	and	and	CCONJ
fis-3194	17	29	reproduction	reproduction	NOUN
fis-3194	17	30	in	in	ADP
fis-3194	17	31	any	any	DET
fis-3194	17	32	medium	medium	NOUN
fis-3194	17	33	,	,	PUNCT
fis-3194	17	34	provided	provide	VERB
fis-3194	17	35	the	the	DET
fis-3194	17	36	original	original	ADJ
fis-3194	17	37	author	author	NOUN
fis-3194	17	38	and	and	CCONJ
fis-3194	17	39	source	source	NOUN
fis-3194	17	40	are	be	AUX
fis-3194	17	41	credited	credit	VERB
fis-3194	17	42	.	.	PUNCT
fis-3194	18	1	introduction	introduction	NOUN
fis-3194	18	2	he	he	PRON
fis-3194	18	3	term	term	VERB
fis-3194	18	4	"	"	PUNCT
fis-3194	18	5	homogenization	homogenization	NOUN
fis-3194	18	6	"	"	PUNCT
fis-3194	18	7	is	be	AUX
fis-3194	18	8	a	a	DET
fis-3194	18	9	process	process	NOUN
fis-3194	18	10	of	of	ADP
fis-3194	18	11	calculating	calculate	VERB
fis-3194	18	12	effective	effective	ADJ
fis-3194	18	13	mechanical	mechanical	ADJ
fis-3194	18	14	properties	property	NOUN
fis-3194	18	15	,	,	PUNCT
fis-3194	18	16	and	and	CCONJ
fis-3194	18	17	the	the	DET
fis-3194	18	18	term	term	NOUN
fis-3194	18	19	"	"	PUNCT
fis-3194	18	20	localization	localization	NOUN
fis-3194	18	21	"	"	PUNCT
fis-3194	18	22	is	be	AUX
fis-3194	18	23	used	use	VERB
fis-3194	18	24	to	to	PART
fis-3194	18	25	determine	determine	VERB
fis-3194	18	26	stress	stress	NOUN
fis-3194	18	27	and	and	CCONJ
fis-3194	18	28	local	local	ADJ
fis-3194	18	29	strain	strain	NOUN
fis-3194	18	30	(	(	PUNCT
fis-3194	18	31	suquet	suquet	VERB
fis-3194	19	1	[	[	X
fis-3194	19	2	1	1	NUM
fis-3194	19	3	]	]	NUM
fis-3194	19	4	)	)	PUNCT
fis-3194	19	5	.	.	PUNCT
fis-3194	20	1	the	the	DET
fis-3194	20	2	first	first	ADJ
fis-3194	20	3	idea	idea	NOUN
fis-3194	20	4	when	when	SCONJ
fis-3194	20	5	using	use	VERB
fis-3194	20	6	a	a	DET
fis-3194	20	7	homogenization	homogenization	NOUN
fis-3194	20	8	procedure	procedure	NOUN
fis-3194	20	9	,	,	PUNCT
fis-3194	20	10	it	it	PRON
fis-3194	20	11	is	be	AUX
fis-3194	20	12	necessary	necessary	ADJ
fis-3194	20	13	to	to	PART
fis-3194	20	14	apply	apply	VERB
fis-3194	20	15	the	the	DET
fis-3194	20	16	law	law	NOUN
fis-3194	20	17	of	of	ADP
fis-3194	20	18	mixtures	mixture	NOUN
fis-3194	20	19	.	.	PUNCT
fis-3194	21	1	which	which	PRON
fis-3194	21	2	postulates	postulate	VERB
fis-3194	21	3	that	that	SCONJ
fis-3194	21	4	the	the	DET
fis-3194	21	5	homogenized	homogenized	ADJ
fis-3194	21	6	elastic	elastic	ADJ
fis-3194	21	7	modulus	modulus	NOUN
fis-3194	21	8	are	be	AUX
fis-3194	21	9	the	the	DET
fis-3194	21	10	means	mean	NOUN
fis-3194	21	11	of	of	ADP
fis-3194	21	12	t	t	PROPN
fis-3194	21	13	k.	k.	PROPN
fis-3194	21	14	benyahi	benyahi	PROPN
fis-3194	21	15	et	et	PROPN
fis-3194	21	16	alii	alii	PROPN
fis-3194	21	17	,	,	PUNCT
fis-3194	21	18	frattura	frattura	PROPN
fis-3194	21	19	ed	ed	PROPN
fis-3194	21	20	integrità	integrità	PROPN
fis-3194	21	21	strutturale	strutturale	PROPN
fis-3194	21	22	,	,	PUNCT
fis-3194	21	23	58	58	NUM
fis-3194	21	24	(	(	PUNCT
fis-3194	21	25	2021	2021	NUM
fis-3194	21	26	)	)	PUNCT
fis-3194	21	27	319	319	NUM
fis-3194	21	28	-	-	SYM
fis-3194	21	29	343	343	NUM
fis-3194	21	30	;	;	PUNCT
fis-3194	21	31	doi	doi	NOUN
fis-3194	21	32	:	:	PUNCT
fis-3194	21	33	10.3221	10.3221	NUM
fis-3194	21	34	/	/	SYM
fis-3194	21	35	igf	igf	PROPN
fis-3194	21	36	-	-	PUNCT
fis-3194	21	37	esis.58.24	esis.58.24	PROPN
fis-3194	21	38	320	320	NUM
fis-3194	21	39	the	the	DET
fis-3194	21	40	elastic	elastic	ADJ
fis-3194	21	41	modulus	modulus	NOUN
fis-3194	21	42	of	of	ADP
fis-3194	21	43	different	different	ADJ
fis-3194	21	44	constituents	constituent	NOUN
fis-3194	21	45	,	,	PUNCT
fis-3194	21	46	weighted	weight	VERB
fis-3194	21	47	by	by	ADP
fis-3194	21	48	their	their	PRON
fis-3194	21	49	volume	volume	NOUN
fis-3194	21	50	fractions	fraction	NOUN
fis-3194	21	51	.	.	PUNCT
fis-3194	22	1	this	this	DET
fis-3194	22	2	method	method	NOUN
fis-3194	22	3	is	be	AUX
fis-3194	22	4	rather	rather	ADV
fis-3194	22	5	easy	easy	ADJ
fis-3194	22	6	to	to	PART
fis-3194	22	7	use	use	VERB
fis-3194	22	8	but	but	CCONJ
fis-3194	22	9	not	not	PART
fis-3194	22	10	very	very	ADV
fis-3194	22	11	rigorous	rigorous	ADJ
fis-3194	22	12	,	,	PUNCT
fis-3194	22	13	in	in	ADP
fis-3194	22	14	order	order	NOUN
fis-3194	22	15	,	,	PUNCT
fis-3194	22	16	to	to	PART
fis-3194	22	17	make	make	VERB
fis-3194	22	18	an	an	DET
fis-3194	22	19	approach	approach	NOUN
fis-3194	22	20	allowing	allow	VERB
fis-3194	22	21	to	to	PART
fis-3194	22	22	appreciate	appreciate	VERB
fis-3194	22	23	the	the	DET
fis-3194	22	24	effective	effective	ADJ
fis-3194	22	25	mechanical	mechanical	ADJ
fis-3194	22	26	properties	property	NOUN
fis-3194	22	27	.	.	PUNCT
fis-3194	23	1	many	many	ADJ
fis-3194	23	2	analytical	analytical	ADJ
fis-3194	23	3	homogenization	homogenization	NOUN
fis-3194	23	4	models	model	NOUN
fis-3194	23	5	,	,	PUNCT
fis-3194	23	6	making	make	VERB
fis-3194	23	7	it	it	PRON
fis-3194	23	8	possible	possible	ADJ
fis-3194	23	9	to	to	PART
fis-3194	23	10	predict	predict	VERB
fis-3194	23	11	the	the	DET
fis-3194	23	12	effective	effective	ADJ
fis-3194	23	13	mechanical	mechanical	ADJ
fis-3194	23	14	elasticity	elasticity	NOUN
fis-3194	23	15	properties	property	NOUN
fis-3194	23	16	of	of	ADP
fis-3194	23	17	a	a	DET
fis-3194	23	18	two	two	NUM
fis-3194	23	19	-	-	PUNCT
fis-3194	23	20	phase	phase	NOUN
fis-3194	23	21	heterogeneous	heterogeneous	ADJ
fis-3194	23	22	material	material	NOUN
fis-3194	23	23	.	.	PUNCT
fis-3194	24	1	from	from	ADP
fis-3194	24	2	those	those	PRON
fis-3194	24	3	of	of	ADP
fis-3194	24	4	its	its	PRON
fis-3194	24	5	different	different	ADJ
fis-3194	24	6	constituents	constituent	NOUN
fis-3194	24	7	are	be	AUX
fis-3194	24	8	proposed	propose	VERB
fis-3194	24	9	in	in	ADP
fis-3194	24	10	the	the	DET
fis-3194	24	11	literature	literature	NOUN
fis-3194	24	12	,	,	PUNCT
fis-3194	24	13	those	those	PRON
fis-3194	24	14	that	that	PRON
fis-3194	24	15	have	have	AUX
fis-3194	24	16	received	receive	VERB
fis-3194	24	17	the	the	DET
fis-3194	24	18	most	most	ADJ
fis-3194	24	19	attention	attention	NOUN
fis-3194	24	20	are	be	AUX
fis-3194	24	21	the	the	DET
fis-3194	24	22	diagrams	diagram	NOUN
fis-3194	24	23	diluted	dilute	VERB
fis-3194	24	24	,	,	PUNCT
fis-3194	24	25	mori	mori	NOUN
fis-3194	24	26	-	-	PUNCT
fis-3194	24	27	tanaka	tanaka	PROPN
fis-3194	24	28	,	,	PUNCT
fis-3194	24	29	self	self	NOUN
fis-3194	24	30	-	-	PUNCT
fis-3194	24	31	consistent	consistent	ADJ
fis-3194	24	32	and	and	CCONJ
fis-3194	24	33	eshelby	eshelby	PROPN
fis-3194	24	34	's	's	PART
fis-3194	24	35	solution	solution	NOUN
fis-3194	24	36	[	[	X
fis-3194	24	37	2	2	NUM
fis-3194	24	38	-	-	SYM
fis-3194	24	39	4	4	NUM
fis-3194	24	40	]	]	PUNCT
fis-3194	24	41	.	.	PUNCT
fis-3194	25	1	however	however	ADV
fis-3194	25	2	,	,	PUNCT
fis-3194	25	3	these	these	DET
fis-3194	25	4	analytical	analytical	ADJ
fis-3194	25	5	or	or	CCONJ
fis-3194	25	6	semi	semi	ADJ
fis-3194	25	7	-	-	ADJ
fis-3194	25	8	analytical	analytical	ADJ
fis-3194	25	9	homogenization	homogenization	NOUN
fis-3194	25	10	models	model	NOUN
fis-3194	25	11	,	,	PUNCT
fis-3194	25	12	did	do	AUX
fis-3194	25	13	not	not	PART
fis-3194	25	14	make	make	VERB
fis-3194	25	15	it	it	PRON
fis-3194	25	16	possible	possible	ADJ
fis-3194	25	17	to	to	PART
fis-3194	25	18	go	go	VERB
fis-3194	25	19	back	back	ADV
fis-3194	25	20	to	to	ADP
fis-3194	25	21	the	the	DET
fis-3194	25	22	local	local	ADJ
fis-3194	25	23	properties	property	NOUN
fis-3194	25	24	of	of	ADP
fis-3194	25	25	the	the	DET
fis-3194	25	26	desired	desire	VERB
fis-3194	25	27	solution	solution	NOUN
fis-3194	25	28	.	.	PUNCT
fis-3194	26	1	as	as	SCONJ
fis-3194	26	2	the	the	DET
fis-3194	26	3	complexity	complexity	NOUN
fis-3194	26	4	of	of	ADP
fis-3194	26	5	the	the	DET
fis-3194	26	6	various	various	ADJ
fis-3194	26	7	microscopic	microscopic	ADJ
fis-3194	26	8	phenomena	phenomenon	NOUN
fis-3194	26	9	,	,	PUNCT
fis-3194	26	10	gave	give	VERB
fis-3194	26	11	rise	rise	NOUN
fis-3194	26	12	to	to	ADP
fis-3194	26	13	more	more	ADV
fis-3194	26	14	recent	recent	ADJ
fis-3194	26	15	resolution	resolution	NOUN
fis-3194	26	16	methods	method	NOUN
fis-3194	26	17	.	.	PUNCT
fis-3194	27	1	nowadays	nowadays	ADV
fis-3194	27	2	,	,	PUNCT
fis-3194	27	3	there	there	PRON
fis-3194	27	4	are	be	VERB
fis-3194	27	5	several	several	ADJ
fis-3194	27	6	micromechanical	micromechanical	ADJ
fis-3194	27	7	methods	method	NOUN
fis-3194	27	8	.	.	PUNCT
fis-3194	28	1	the	the	DET
fis-3194	28	2	research	research	NOUN
fis-3194	28	3	having	having	AUX
fis-3194	28	4	been	be	AUX
fis-3194	28	5	carried	carry	VERB
fis-3194	28	6	out	out	ADP
fis-3194	28	7	for	for	ADP
fis-3194	28	8	the	the	DET
fis-3194	28	9	analysis	analysis	NOUN
fis-3194	28	10	,	,	PUNCT
fis-3194	28	11	and	and	CCONJ
fis-3194	28	12	prediction	prediction	NOUN
fis-3194	28	13	of	of	ADP
fis-3194	28	14	the	the	DET
fis-3194	28	15	overall	overall	ADJ
fis-3194	28	16	behavior	behavior	NOUN
fis-3194	28	17	of	of	ADP
fis-3194	28	18	composite	composite	ADJ
fis-3194	28	19	materials	material	NOUN
fis-3194	28	20	,	,	PUNCT
fis-3194	28	21	and	and	CCONJ
fis-3194	28	22	can	can	AUX
fis-3194	28	23	be	be	AUX
fis-3194	28	24	summarized	summarize	VERB
fis-3194	28	25	as	as	SCONJ
fis-3194	28	26	follows	follow	VERB
fis-3194	28	27	.	.	PUNCT
fis-3194	29	1	michel	michel	PROPN
fis-3194	29	2	et	et	PROPN
fis-3194	29	3	al	al	PROPN
fis-3194	29	4	.	.	PUNCT
fis-3194	30	1	[	[	X
fis-3194	30	2	5	5	NUM
fis-3194	30	3	]	]	PUNCT
fis-3194	30	4	proposed	propose	VERB
fis-3194	30	5	two	two	NUM
fis-3194	30	6	different	different	ADJ
fis-3194	30	7	families	family	NOUN
fis-3194	30	8	of	of	ADP
fis-3194	30	9	numerical	numerical	ADJ
fis-3194	30	10	methods	method	NOUN
fis-3194	30	11	to	to	PART
fis-3194	30	12	solve	solve	VERB
fis-3194	30	13	the	the	DET
fis-3194	30	14	problem	problem	NOUN
fis-3194	30	15	.	.	PUNCT
fis-3194	31	1	the	the	DET
fis-3194	31	2	first	first	ADJ
fis-3194	31	3	method	method	NOUN
fis-3194	31	4	is	be	AUX
fis-3194	31	5	based	base	VERB
fis-3194	31	6	on	on	ADP
fis-3194	31	7	the	the	DET
fis-3194	31	8	finite	finite	ADJ
fis-3194	31	9	element	element	NOUN
fis-3194	31	10	method	method	NOUN
fis-3194	31	11	,	,	PUNCT
fis-3194	31	12	by	by	ADP
fis-3194	31	13	implementing	implement	VERB
fis-3194	31	14	periodicity	periodicity	NOUN
fis-3194	31	15	conditions	condition	NOUN
fis-3194	31	16	either	either	CCONJ
fis-3194	31	17	by	by	ADP
fis-3194	31	18	a	a	DET
fis-3194	31	19	control	control	NOUN
fis-3194	31	20	of	of	ADP
fis-3194	31	21	strains	strain	NOUN
fis-3194	31	22	or	or	CCONJ
fis-3194	31	23	of	of	ADP
fis-3194	31	24	stresses	stress	NOUN
fis-3194	31	25	.	.	PUNCT
fis-3194	32	1	the	the	DET
fis-3194	32	2	second	second	ADJ
fis-3194	32	3	numerical	numerical	ADJ
fis-3194	32	4	method	method	NOUN
fis-3194	32	5	is	be	AUX
fis-3194	32	6	based	base	VERB
fis-3194	32	7	on	on	ADP
fis-3194	32	8	fast	fast	ADJ
fis-3194	32	9	fourier	fourier	NOUN
fis-3194	32	10	transforms	transform	VERB
fis-3194	32	11	(	(	PUNCT
fis-3194	32	12	fft	fft	PROPN
fis-3194	32	13	)	)	PUNCT
fis-3194	32	14	.	.	PUNCT
fis-3194	33	1	which	which	PRON
fis-3194	33	2	could	could	AUX
fis-3194	33	3	be	be	AUX
fis-3194	33	4	an	an	DET
fis-3194	33	5	alternative	alternative	NOUN
fis-3194	33	6	to	to	ADP
fis-3194	33	7	the	the	DET
fis-3194	33	8	finite	finite	ADJ
fis-3194	33	9	element	element	NOUN
fis-3194	33	10	method	method	NOUN
fis-3194	33	11	,	,	PUNCT
fis-3194	33	12	for	for	ADP
fis-3194	33	13	the	the	DET
fis-3194	33	14	micromechanical	micromechanical	ADJ
fis-3194	33	15	analyzes	analyze	NOUN
fis-3194	33	16	of	of	ADP
fis-3194	33	17	representative	representative	ADJ
fis-3194	33	18	solid	solid	ADJ
fis-3194	33	19	elements	element	NOUN
fis-3194	33	20	with	with	ADP
fis-3194	33	21	periodicity	periodicity	NOUN
fis-3194	33	22	conditions	condition	NOUN
fis-3194	33	23	.	.	PUNCT
fis-3194	34	1	sun	sun	PROPN
fis-3194	34	2	et	et	PROPN
fis-3194	34	3	al	al	PROPN
fis-3194	34	4	.	.	PUNCT
fis-3194	35	1	[	[	X
fis-3194	35	2	6	6	NUM
fis-3194	35	3	]	]	PUNCT
fis-3194	35	4	proposed	propose	VERB
fis-3194	35	5	a	a	DET
fis-3194	35	6	procedure	procedure	NOUN
fis-3194	35	7	for	for	ADP
fis-3194	35	8	predicting	predict	VERB
fis-3194	35	9	the	the	DET
fis-3194	35	10	elastic	elastic	ADJ
fis-3194	35	11	constant	constant	NOUN
fis-3194	35	12	of	of	ADP
fis-3194	35	13	the	the	DET
fis-3194	35	14	composite	composite	NOUN
fis-3194	35	15	from	from	ADP
fis-3194	35	16	the	the	DET
fis-3194	35	17	rve	rve	PROPN
fis-3194	35	18	,	,	PUNCT
fis-3194	35	19	using	use	VERB
fis-3194	35	20	the	the	DET
fis-3194	35	21	principles	principle	NOUN
fis-3194	35	22	of	of	ADP
fis-3194	35	23	strain	strain	ADJ
fis-3194	35	24	energy	energy	NOUN
fis-3194	35	25	equivalence	equivalence	NOUN
fis-3194	35	26	.	.	PUNCT
fis-3194	36	1	the	the	DET
fis-3194	36	2	average	average	ADJ
fis-3194	36	3	strain	strain	NOUN
fis-3194	36	4	and	and	CCONJ
fis-3194	36	5	stress	stress	NOUN
fis-3194	36	6	for	for	ADP
fis-3194	36	7	rve	rve	PROPN
fis-3194	36	8	are	be	AUX
fis-3194	36	9	defined	define	VERB
fis-3194	36	10	using	use	VERB
fis-3194	36	11	gauss	gauss	PROPN
fis-3194	36	12	's	's	PART
fis-3194	36	13	theorem	theorem	ADJ
fis-3194	36	14	and	and	CCONJ
fis-3194	36	15	energy	energy	NOUN
fis-3194	36	16	equivalence	equivalence	NOUN
fis-3194	36	17	principles	principle	NOUN
fis-3194	36	18	,	,	PUNCT
fis-3194	36	19	and	and	CCONJ
fis-3194	36	20	the	the	DET
fis-3194	36	21	full	full	ADJ
fis-3194	36	22	set	set	NOUN
fis-3194	36	23	of	of	ADP
fis-3194	36	24	elastic	elastic	ADJ
fis-3194	36	25	constants	constant	NOUN
fis-3194	36	26	for	for	ADP
fis-3194	36	27	a	a	DET
fis-3194	36	28	unidirectional	unidirectional	ADJ
fis-3194	36	29	composite	composite	NOUN
fis-3194	36	30	has	have	AUX
fis-3194	36	31	been	be	AUX
fis-3194	36	32	obtained	obtain	VERB
fis-3194	36	33	.	.	PUNCT
fis-3194	37	1	the	the	DET
fis-3194	37	2	appropriate	appropriate	ADJ
fis-3194	37	3	stresses	stress	NOUN
fis-3194	37	4	on	on	ADP
fis-3194	37	5	the	the	DET
fis-3194	37	6	rve	rve	PROPN
fis-3194	37	7	under	under	ADP
fis-3194	37	8	various	various	ADJ
fis-3194	37	9	loads	load	NOUN
fis-3194	37	10	were	be	AUX
fis-3194	37	11	determined	determine	VERB
fis-3194	37	12	from	from	ADP
fis-3194	37	13	the	the	DET
fis-3194	37	14	conditions	condition	NOUN
fis-3194	37	15	of	of	ADP
fis-3194	37	16	symmetry	symmetry	NOUN
fis-3194	37	17	and	and	CCONJ
fis-3194	37	18	periodicity	periodicity	NOUN
fis-3194	37	19	.	.	PUNCT
fis-3194	38	1	xia	xia	PROPN
fis-3194	38	2	et	et	PROPN
fis-3194	38	3	al	al	PROPN
fis-3194	38	4	.	.	PUNCT
fis-3194	39	1	[	[	X
fis-3194	39	2	7	7	X
fis-3194	39	3	]	]	PUNCT
fis-3194	39	4	proposed	propose	VERB
fis-3194	39	5	a	a	DET
fis-3194	39	6	method	method	NOUN
fis-3194	39	7	of	of	ADP
fis-3194	39	8	micromechanical	micromechanical	ADJ
fis-3194	39	9	finite	finite	PROPN
fis-3194	39	10	element	element	NOUN
fis-3194	39	11	method	method	NOUN
fis-3194	39	12	(	(	PUNCT
fis-3194	39	13	fem	fem	NOUN
fis-3194	39	14	)	)	PUNCT
fis-3194	39	15	analysis	analysis	NOUN
fis-3194	39	16	applied	apply	VERB
fis-3194	39	17	to	to	ADP
fis-3194	39	18	unidirectional	unidirectional	ADJ
fis-3194	39	19	,	,	PUNCT
fis-3194	39	20	and	and	CCONJ
fis-3194	39	21	right	right	ADJ
fis-3194	39	22	-	-	PUNCT
fis-3194	39	23	angle	angle	NOUN
fis-3194	39	24	laminates	laminate	NOUN
fis-3194	39	25	subjected	subject	VERB
fis-3194	39	26	to	to	ADP
fis-3194	39	27	multiaxial	multiaxial	ADJ
fis-3194	39	28	loading	loading	NOUN
fis-3194	39	29	conditions	condition	NOUN
fis-3194	39	30	.	.	PUNCT
fis-3194	40	1	on	on	ADP
fis-3194	40	2	the	the	DET
fis-3194	40	3	basis	basis	NOUN
fis-3194	40	4	of	of	ADP
fis-3194	40	5	the	the	DET
fis-3194	40	6	general	general	ADJ
fis-3194	40	7	conditions	condition	NOUN
fis-3194	40	8	of	of	ADP
fis-3194	40	9	periodicity	periodicity	NOUN
fis-3194	40	10	stated	state	VERB
fis-3194	40	11	by	by	ADP
fis-3194	40	12	suquet	suquet	NOUN
fis-3194	40	13	[	[	X
fis-3194	40	14	1	1	NUM
fis-3194	40	15	]	]	PUNCT
fis-3194	40	16	.	.	PUNCT
fis-3194	41	1	they	they	PRON
fis-3194	41	2	presented	present	VERB
fis-3194	41	3	an	an	DET
fis-3194	41	4	explicit	explicit	ADJ
fis-3194	41	5	form	form	NOUN
fis-3194	41	6	of	of	ADP
fis-3194	41	7	boundary	boundary	ADJ
fis-3194	41	8	conditions	condition	NOUN
fis-3194	41	9	suitable	suitable	ADJ
fis-3194	41	10	for	for	ADP
fis-3194	41	11	finite	finite	ADJ
fis-3194	41	12	element	element	NOUN
fis-3194	41	13	method	method	NOUN
fis-3194	41	14	(	(	PUNCT
fis-3194	41	15	fem	fem	NOUN
fis-3194	41	16	)	)	PUNCT
fis-3194	41	17	analyzes	analyze	NOUN
fis-3194	41	18	,	,	PUNCT
fis-3194	41	19	of	of	ADP
fis-3194	41	20	parallelepipedic	parallelepipedic	ADJ
fis-3194	41	21	rve	rve	PROPN
fis-3194	41	22	models	model	NOUN
fis-3194	41	23	subjected	subject	VERB
fis-3194	41	24	to	to	ADP
fis-3194	41	25	multiaxial	multiaxial	ADJ
fis-3194	41	26	loads	load	NOUN
fis-3194	41	27	.	.	PUNCT
fis-3194	42	1	several	several	ADJ
fis-3194	42	2	theoretical	theoretical	ADJ
fis-3194	42	3	models	model	NOUN
fis-3194	42	4	have	have	AUX
fis-3194	42	5	been	be	AUX
fis-3194	42	6	proposed	propose	VERB
fis-3194	42	7	for	for	ADP
fis-3194	42	8	determining	determine	VERB
fis-3194	42	9	the	the	DET
fis-3194	42	10	effective	effective	ADJ
fis-3194	42	11	properties	property	NOUN
fis-3194	42	12	of	of	ADP
fis-3194	42	13	composite	composite	ADJ
fis-3194	42	14	materials	material	NOUN
fis-3194	42	15	.	.	PUNCT
fis-3194	43	1	and	and	CCONJ
fis-3194	43	2	the	the	DET
fis-3194	43	3	research	research	NOUN
fis-3194	43	4	that	that	PRON
fis-3194	43	5	has	have	AUX
fis-3194	43	6	been	be	AUX
fis-3194	43	7	conducted	conduct	VERB
fis-3194	43	8	to	to	PART
fis-3194	43	9	improve	improve	VERB
fis-3194	43	10	our	our	PRON
fis-3194	43	11	understanding	understanding	NOUN
fis-3194	43	12	,	,	PUNCT
fis-3194	43	13	of	of	ADP
fis-3194	43	14	periodic	periodic	ADJ
fis-3194	43	15	homogenization	homogenization	NOUN
fis-3194	43	16	is	be	AUX
fis-3194	43	17	summarized	summarize	VERB
fis-3194	43	18	below	below	ADV
fis-3194	43	19	.	.	PUNCT
fis-3194	44	1	yvonnet	yvonnet	PROPN
fis-3194	44	2	et	et	PROPN
fis-3194	44	3	al	al	PROPN
fis-3194	44	4	.	.	PUNCT
fis-3194	45	1	[	[	X
fis-3194	45	2	08	08	NUM
fis-3194	45	3	]	]	PUNCT
fis-3194	45	4	proposed	propose	VERB
fis-3194	45	5	a	a	DET
fis-3194	45	6	method	method	NOUN
fis-3194	45	7	for	for	ADP
fis-3194	45	8	evaluating	evaluate	VERB
fis-3194	45	9	the	the	DET
fis-3194	45	10	higher	high	ADJ
fis-3194	45	11	-	-	PUNCT
fis-3194	45	12	order	order	NOUN
fis-3194	45	13	tensors	tensor	NOUN
fis-3194	45	14	of	of	ADP
fis-3194	45	15	an	an	DET
fis-3194	45	16	efficient	efficient	ADJ
fis-3194	45	17	general	general	ADJ
fis-3194	45	18	anisotropic	anisotropic	NOUN
fis-3194	45	19	straingradient	straingradient	NOUN
fis-3194	45	20	(	(	PUNCT
fis-3194	45	21	mindlin	mindlin	NOUN
fis-3194	45	22	)	)	PUNCT
fis-3194	45	23	model	model	NOUN
fis-3194	45	24	,	,	PUNCT
fis-3194	45	25	by	by	ADP
fis-3194	45	26	a	a	DET
fis-3194	45	27	homogenization	homogenization	NOUN
fis-3194	45	28	technique	technique	NOUN
fis-3194	45	29	to	to	PART
fis-3194	45	30	determine	determine	VERB
fis-3194	45	31	the	the	DET
fis-3194	45	32	effective	effective	ADJ
fis-3194	45	33	parameters	parameter	NOUN
fis-3194	45	34	.	.	PUNCT
fis-3194	46	1	this	this	DET
fis-3194	46	2	proposed	propose	VERB
fis-3194	46	3	method	method	NOUN
fis-3194	46	4	uses	use	VERB
fis-3194	46	5	finite	finite	PROPN
fis-3194	46	6	element	element	NOUN
fis-3194	46	7	calculations	calculation	NOUN
fis-3194	46	8	on	on	ADP
fis-3194	46	9	rves	rf	NOUN
fis-3194	46	10	based	base	VERB
fis-3194	46	11	on	on	ADP
fis-3194	46	12	the	the	DET
fis-3194	46	13	principle	principle	NOUN
fis-3194	46	14	of	of	ADP
fis-3194	46	15	superposition	superposition	NOUN
fis-3194	46	16	.	.	PUNCT
fis-3194	47	1	jakabcin	jakabcin	PROPN
fis-3194	47	2	and	and	CCONJ
fis-3194	47	3	seppecher	seppecher	NOUN
fis-3194	48	1	[	[	X
fis-3194	48	2	09	09	NUM
fis-3194	48	3	]	]	PUNCT
fis-3194	48	4	studied	study	VERB
fis-3194	48	5	the	the	DET
fis-3194	48	6	applicability	applicability	NOUN
fis-3194	48	7	of	of	ADP
fis-3194	48	8	these	these	DET
fis-3194	48	9	formulas	formula	NOUN
fis-3194	48	10	for	for	ADP
fis-3194	48	11	highly	highly	ADV
fis-3194	48	12	contrasted	contrast	VERB
fis-3194	48	13	structures	structure	NOUN
fis-3194	48	14	.	.	PUNCT
fis-3194	49	1	the	the	DET
fis-3194	49	2	study	study	NOUN
fis-3194	49	3	is	be	AUX
fis-3194	49	4	carried	carry	VERB
fis-3194	49	5	out	out	ADP
fis-3194	49	6	on	on	ADP
fis-3194	49	7	structures	structure	NOUN
fis-3194	49	8	of	of	ADP
fis-3194	49	9	which	which	PRON
fis-3194	49	10	the	the	DET
fis-3194	49	11	limiting	limit	VERB
fis-3194	49	12	energy	energy	NOUN
fis-3194	49	13	is	be	AUX
fis-3194	49	14	already	already	ADV
fis-3194	49	15	known	know	VERB
fis-3194	49	16	and	and	CCONJ
fis-3194	49	17	compares	compare	VERB
fis-3194	49	18	the	the	DET
fis-3194	49	19	energies	energy	NOUN
fis-3194	49	20	given	give	VERB
fis-3194	49	21	by	by	ADP
fis-3194	49	22	the	the	DET
fis-3194	49	23	convergence	convergence	NOUN
fis-3194	49	24	results	result	NOUN
fis-3194	49	25	,	,	PUNCT
fis-3194	49	26	the	the	DET
fis-3194	49	27	corrective	corrective	ADJ
fis-3194	49	28	formulas	formula	NOUN
fis-3194	49	29	and	and	CCONJ
fis-3194	49	30	by	by	ADP
fis-3194	49	31	a	a	DET
fis-3194	49	32	direct	direct	PROPN
fis-3194	49	33	numerical	numerical	ADJ
fis-3194	49	34	simulation	simulation	NOUN
fis-3194	49	35	of	of	ADP
fis-3194	49	36	the	the	DET
fis-3194	49	37	complete	complete	ADJ
fis-3194	49	38	structure	structure	NOUN
fis-3194	49	39	.	.	PUNCT
fis-3194	50	1	guinovart	guinovart	NOUN
fis-3194	50	2	-	-	PUNCT
fis-3194	50	3	díaz	díaz	NOUN
fis-3194	50	4	et	et	PROPN
fis-3194	50	5	al	al	PROPN
fis-3194	50	6	.	.	PUNCT
fis-3194	51	1	[	[	X
fis-3194	51	2	10	10	NUM
fis-3194	51	3	]	]	PUNCT
fis-3194	51	4	proposed	propose	VERB
fis-3194	51	5	an	an	DET
fis-3194	51	6	analytical	analytical	ADJ
fis-3194	51	7	method	method	NOUN
fis-3194	51	8	of	of	ADP
fis-3194	51	9	asymptotic	asymptotic	ADJ
fis-3194	51	10	homogenization	homogenization	NOUN
fis-3194	51	11	(	(	PUNCT
fis-3194	51	12	ahm	ahm	NOUN
fis-3194	51	13	)	)	PUNCT
fis-3194	51	14	to	to	ADP
fis-3194	51	15	the	the	DET
fis-3194	51	16	calculation	calculation	NOUN
fis-3194	51	17	of	of	ADP
fis-3194	51	18	the	the	DET
fis-3194	51	19	effective	effective	ADJ
fis-3194	51	20	elastic	elastic	ADJ
fis-3194	51	21	stiffnesses	stiffness	NOUN
fis-3194	51	22	of	of	ADP
fis-3194	51	23	a	a	DET
fis-3194	51	24	composite	composite	NOUN
fis-3194	51	25	reinforced	reinforce	VERB
fis-3194	51	26	with	with	ADP
fis-3194	51	27	fibers	fiber	NOUN
fis-3194	51	28	,	,	PUNCT
fis-3194	51	29	with	with	ADP
fis-3194	51	30	an	an	DET
fis-3194	51	31	imperfect	imperfect	ADJ
fis-3194	51	32	contact	contact	NOUN
fis-3194	51	33	between	between	ADP
fis-3194	51	34	the	the	DET
fis-3194	51	35	matrix	matrix	NOUN
fis-3194	51	36	,	,	PUNCT
fis-3194	51	37	and	and	CCONJ
fis-3194	51	38	the	the	DET
fis-3194	51	39	fibers	fiber	NOUN
fis-3194	51	40	for	for	ADP
fis-3194	51	41	parallelogram	parallelogram	NOUN
fis-3194	51	42	-	-	PUNCT
fis-3194	51	43	like	like	ADJ
fis-3194	51	44	arrangement	arrangement	NOUN
fis-3194	51	45	of	of	ADP
fis-3194	51	46	fibers	fiber	NOUN
fis-3194	51	47	.	.	PUNCT
fis-3194	52	1	savvas	savvas	NOUN
fis-3194	52	2	et	et	PROPN
fis-3194	52	3	al	al	PROPN
fis-3194	52	4	.	.	PUNCT
fis-3194	53	1	[	[	X
fis-3194	53	2	11	11	NUM
fis-3194	53	3	]	]	PUNCT
fis-3194	53	4	proposed	propose	VERB
fis-3194	53	5	a	a	DET
fis-3194	53	6	simulation	simulation	NOUN
fis-3194	53	7	of	of	ADP
fis-3194	53	8	the	the	DET
fis-3194	53	9	homogenization	homogenization	NOUN
fis-3194	53	10	of	of	ADP
fis-3194	53	11	random	random	ADJ
fis-3194	53	12	heterogeneous	heterogeneous	ADJ
fis-3194	53	13	media	medium	NOUN
fis-3194	53	14	with	with	ADP
fis-3194	53	15	arbitrarily	arbitrarily	ADV
fis-3194	53	16	shaped	shape	VERB
fis-3194	53	17	inclusions	inclusion	NOUN
fis-3194	53	18	.	.	PUNCT
fis-3194	54	1	this	this	DET
fis-3194	54	2	study	study	NOUN
fis-3194	54	3	is	be	AUX
fis-3194	54	4	carried	carry	VERB
fis-3194	54	5	out	out	ADP
fis-3194	54	6	by	by	ADP
fis-3194	54	7	modeling	modeling	NOUN
fis-3194	54	8	with	with	ADP
fis-3194	54	9	the	the	DET
fis-3194	54	10	extended	extended	ADJ
fis-3194	54	11	finite	finite	ADJ
fis-3194	54	12	element	element	NOUN
fis-3194	54	13	method	method	NOUN
fis-3194	54	14	(	(	PUNCT
fis-3194	54	15	xfem	xfem	PROPN
fis-3194	54	16	)	)	PUNCT
fis-3194	54	17	,	,	PUNCT
fis-3194	54	18	coupled	couple	VERB
fis-3194	54	19	with	with	ADP
fis-3194	54	20	monte	monte	PROPN
fis-3194	54	21	carlo	carlo	PROPN
fis-3194	54	22	simulation	simulation	PROPN
fis-3194	54	23	(	(	PUNCT
fis-3194	54	24	mcs	mcs	PROPN
fis-3194	54	25	)	)	PUNCT
fis-3194	54	26	.	.	PUNCT
fis-3194	55	1	and	and	CCONJ
fis-3194	55	2	where	where	SCONJ
fis-3194	55	3	,	,	PUNCT
fis-3194	55	4	the	the	DET
fis-3194	55	5	influence	influence	NOUN
fis-3194	55	6	of	of	ADP
fis-3194	55	7	the	the	DET
fis-3194	55	8	inclusion	inclusion	NOUN
fis-3194	55	9	shape	shape	NOUN
fis-3194	55	10	on	on	ADP
fis-3194	55	11	the	the	DET
fis-3194	55	12	effective	effective	ADJ
fis-3194	55	13	properties	property	NOUN
fis-3194	55	14	of	of	ADP
fis-3194	55	15	random	random	ADJ
fis-3194	55	16	media	medium	NOUN
fis-3194	55	17	was	be	AUX
fis-3194	55	18	studied	study	VERB
fis-3194	55	19	.	.	PUNCT
fis-3194	56	1	tsalis	tsalis	PROPN
fis-3194	56	2	et	et	NOUN
fis-3194	56	3	al	al	PROPN
fis-3194	56	4	.	.	PUNCT
fis-3194	57	1	[	[	X
fis-3194	57	2	12	12	NUM
fis-3194	57	3	]	]	PUNCT
fis-3194	57	4	proposed	propose	VERB
fis-3194	57	5	a	a	DET
fis-3194	57	6	method	method	NOUN
fis-3194	57	7	for	for	ADP
fis-3194	57	8	the	the	DET
fis-3194	57	9	introduction	introduction	NOUN
fis-3194	57	10	of	of	ADP
fis-3194	57	11	the	the	DET
fis-3194	57	12	admissible	admissible	ADJ
fis-3194	57	13	strain	strain	NOUN
fis-3194	57	14	fields	field	NOUN
fis-3194	57	15	of	of	ADP
fis-3194	57	16	materials	material	NOUN
fis-3194	57	17	,	,	PUNCT
fis-3194	57	18	with	with	ADP
fis-3194	57	19	generalized	generalized	ADJ
fis-3194	57	20	periodicity	periodicity	NOUN
fis-3194	57	21	and	and	CCONJ
fis-3194	57	22	present	present	VERB
fis-3194	57	23	their	their	PRON
fis-3194	57	24	properties	property	NOUN
fis-3194	57	25	.	.	PUNCT
fis-3194	58	1	tsalis	tsalis	PROPN
fis-3194	58	2	,	,	PUNCT
fis-3194	58	3	et	et	PROPN
fis-3194	58	4	al	al	PROPN
fis-3194	58	5	.	.	PUNCT
fis-3194	59	1	[	[	X
fis-3194	59	2	13	13	NUM
fis-3194	59	3	]	]	PUNCT
fis-3194	59	4	presented	present	VERB
fis-3194	59	5	an	an	DET
fis-3194	59	6	analytical	analytical	ADJ
fis-3194	59	7	homogenization	homogenization	NOUN
fis-3194	59	8	technique	technique	NOUN
fis-3194	59	9	of	of	ADP
fis-3194	59	10	elastic	elastic	ADJ
fis-3194	59	11	composites	composite	NOUN
fis-3194	59	12	,	,	PUNCT
fis-3194	59	13	with	with	ADP
fis-3194	59	14	generalized	generalized	ADJ
fis-3194	59	15	periodicity	periodicity	NOUN
fis-3194	59	16	to	to	PART
fis-3194	59	17	explain	explain	VERB
fis-3194	59	18	the	the	DET
fis-3194	59	19	effect	effect	NOUN
fis-3194	59	20	of	of	ADP
fis-3194	59	21	microstructure	microstructure	ADJ
fis-3194	59	22	nonlinearity	nonlinearity	NOUN
fis-3194	59	23	on	on	ADP
fis-3194	59	24	effective	effective	ADJ
fis-3194	59	25	properties	property	NOUN
fis-3194	59	26	.	.	PUNCT
fis-3194	60	1	wu	wu	PROPN
fis-3194	60	2	et	et	PROPN
fis-3194	60	3	al	al	PROPN
fis-3194	60	4	.	.	PUNCT
fis-3194	61	1	[	[	X
fis-3194	61	2	14	14	NUM
fis-3194	61	3	]	]	PUNCT
fis-3194	61	4	used	use	VERB
fis-3194	61	5	a	a	DET
fis-3194	61	6	method	method	NOUN
fis-3194	61	7	to	to	PART
fis-3194	61	8	reduce	reduce	VERB
fis-3194	61	9	computational	computational	ADJ
fis-3194	61	10	cost	cost	NOUN
fis-3194	61	11	,	,	PUNCT
fis-3194	61	12	and	and	CCONJ
fis-3194	61	13	obtain	obtain	VERB
fis-3194	61	14	more	more	ADV
fis-3194	61	15	accurate	accurate	ADJ
fis-3194	61	16	approximations	approximation	NOUN
fis-3194	61	17	to	to	PART
fis-3194	61	18	predict	predict	VERB
fis-3194	61	19	the	the	DET
fis-3194	61	20	effective	effective	ADJ
fis-3194	61	21	thermos	thermos	ADJ
fis-3194	61	22	-	-	PUNCT
fis-3194	61	23	mechanical	mechanical	ADJ
fis-3194	61	24	properties	property	NOUN
fis-3194	61	25	of	of	ADP
fis-3194	61	26	random	random	ADJ
fis-3194	61	27	heterogeneous	heterogeneous	ADJ
fis-3194	61	28	materials	material	NOUN
fis-3194	61	29	.	.	PUNCT
fis-3194	62	1	by	by	ADP
fis-3194	62	2	richardson	richardson	PROPN
fis-3194	62	3	's	's	PART
fis-3194	62	4	extrapolation	extrapolation	NOUN
fis-3194	62	5	technique	technique	NOUN
fis-3194	62	6	using	use	VERB
fis-3194	62	7	smaller	small	ADJ
fis-3194	62	8	cell	cell	NOUN
fis-3194	62	9	domains	domain	NOUN
fis-3194	62	10	,	,	PUNCT
fis-3194	62	11	and	and	CCONJ
fis-3194	62	12	without	without	ADP
fis-3194	62	13	the	the	DET
fis-3194	62	14	need	need	NOUN
fis-3194	62	15	for	for	ADP
fis-3194	62	16	calculations	calculation	NOUN
fis-3194	62	17	in	in	ADP
fis-3194	62	18	a	a	DET
fis-3194	62	19	larger	large	ADJ
fis-3194	62	20	cell	cell	NOUN
fis-3194	62	21	domain	domain	NOUN
fis-3194	62	22	.	.	PUNCT
fis-3194	63	1	godin	godin	VERB
fis-3194	64	1	[	[	X
fis-3194	64	2	15	15	NUM
fis-3194	64	3	]	]	PUNCT
fis-3194	64	4	proposed	propose	VERB
fis-3194	64	5	an	an	DET
fis-3194	64	6	explicit	explicit	ADJ
fis-3194	64	7	formula	formula	NOUN
fis-3194	64	8	to	to	PART
fis-3194	64	9	calculate	calculate	VERB
fis-3194	64	10	the	the	DET
fis-3194	64	11	effective	effective	ADJ
fis-3194	64	12	properties	property	NOUN
fis-3194	64	13	tensor	tensor	NOUN
fis-3194	64	14	of	of	ADP
fis-3194	64	15	a	a	DET
fis-3194	64	16	periodic	periodic	ADJ
fis-3194	64	17	lattice	lattice	NOUN
fis-3194	64	18	of	of	ADP
fis-3194	64	19	two	two	NUM
fis-3194	64	20	-	-	PUNCT
fis-3194	64	21	phase	phase	NOUN
fis-3194	64	22	dielectric	dielectric	ADJ
fis-3194	64	23	tubes	tube	NOUN
fis-3194	64	24	embedded	embed	VERB
fis-3194	64	25	in	in	ADP
fis-3194	64	26	a	a	DET
fis-3194	64	27	host	host	NOUN
fis-3194	64	28	matrix	matrix	NOUN
fis-3194	64	29	.	.	PUNCT
fis-3194	65	1	dhimole	dhimole	NOUN
fis-3194	65	2	et	et	PROPN
fis-3194	65	3	al	al	PROPN
fis-3194	65	4	.	.	PUNCT
fis-3194	66	1	[	[	X
fis-3194	66	2	16	16	NUM
fis-3194	66	3	]	]	PUNCT
fis-3194	66	4	used	use	VERB
fis-3194	66	5	a	a	DET
fis-3194	66	6	method	method	NOUN
fis-3194	66	7	based	base	VERB
fis-3194	66	8	on	on	ADP
fis-3194	66	9	the	the	DET
fis-3194	66	10	minimum	minimum	ADJ
fis-3194	66	11	energy	energy	NOUN
fis-3194	66	12	loss	loss	NOUN
fis-3194	66	13	of	of	ADP
fis-3194	66	14	the	the	DET
fis-3194	66	15	structural	structural	ADJ
fis-3194	66	16	genome	genome	NOUN
fis-3194	66	17	,	,	PUNCT
fis-3194	66	18	to	to	PART
fis-3194	66	19	predict	predict	VERB
fis-3194	66	20	the	the	DET
fis-3194	66	21	mechanical	mechanical	ADJ
fis-3194	66	22	properties	property	NOUN
fis-3194	66	23	of	of	ADP
fis-3194	66	24	three	three	NUM
fis-3194	66	25	-	-	PUNCT
fis-3194	66	26	dimensional	dimensional	ADJ
fis-3194	66	27	(	(	PUNCT
fis-3194	66	28	3d	3d	NOUN
fis-3194	66	29	)	)	PUNCT
fis-3194	66	30	four	four	NUM
fis-3194	66	31	-	-	PUNCT
fis-3194	66	32	directional	directional	ADJ
fis-3194	66	33	braided	braid	VERB
fis-3194	66	34	composites	composite	NOUN
fis-3194	66	35	.	.	PUNCT
fis-3194	67	1	beicha	beicha	PROPN
fis-3194	67	2	et	et	PROPN
fis-3194	67	3	al	al	PROPN
fis-3194	67	4	.	.	PUNCT
fis-3194	68	1	[	[	X
fis-3194	68	2	17	17	NUM
fis-3194	68	3	]	]	PUNCT
fis-3194	68	4	conducted	conduct	VERB
fis-3194	68	5	a	a	DET
fis-3194	68	6	comparative	comparative	ADJ
fis-3194	68	7	study	study	NOUN
fis-3194	68	8	between	between	ADP
fis-3194	68	9	the	the	DET
fis-3194	68	10	effective	effective	ADJ
fis-3194	68	11	elastic	elastic	ADJ
fis-3194	68	12	properties	property	NOUN
fis-3194	68	13	of	of	ADP
fis-3194	68	14	fiber	fiber	NOUN
fis-3194	68	15	-	-	PUNCT
fis-3194	68	16	reinforced	reinforce	VERB
fis-3194	68	17	composites	composite	NOUN
fis-3194	68	18	respectively	respectively	ADV
fis-3194	68	19	built	build	VERB
fis-3194	68	20	with	with	ADP
fis-3194	68	21	a	a	DET
fis-3194	68	22	hexagonal	hexagonal	ADJ
fis-3194	68	23	,	,	PUNCT
fis-3194	68	24	and	and	CCONJ
fis-3194	68	25	random	random	ADJ
fis-3194	68	26	distribution	distribution	NOUN
fis-3194	68	27	of	of	ADP
fis-3194	68	28	non	non	ADJ
fis-3194	68	29	-	-	ADJ
fis-3194	68	30	overlapping	overlapping	ADJ
fis-3194	68	31	fibers	fiber	NOUN
fis-3194	68	32	.	.	PUNCT
fis-3194	69	1	the	the	DET
fis-3194	69	2	results	result	NOUN
fis-3194	69	3	show	show	VERB
fis-3194	69	4	that	that	SCONJ
fis-3194	69	5	the	the	DET
fis-3194	69	6	observed	observed	ADJ
fis-3194	69	7	constraints	constraint	NOUN
fis-3194	69	8	are	be	AUX
fis-3194	69	9	higher	high	ADJ
fis-3194	69	10	for	for	ADP
fis-3194	69	11	random	random	ADJ
fis-3194	69	12	distribution	distribution	NOUN
fis-3194	69	13	than	than	ADP
fis-3194	69	14	for	for	ADP
fis-3194	69	15	periodic	periodic	ADJ
fis-3194	69	16	distribution	distribution	NOUN
fis-3194	69	17	.	.	PUNCT
fis-3194	70	1	bonfoh	bonfoh	NOUN
fis-3194	70	2	et	et	PROPN
fis-3194	70	3	al	al	PROPN
fis-3194	70	4	.	.	PUNCT
fis-3194	71	1	[	[	X
fis-3194	71	2	18	18	NUM
fis-3194	71	3	]	]	PUNCT
fis-3194	71	4	proposed	propose	VERB
fis-3194	71	5	a	a	DET
fis-3194	71	6	general	general	ADJ
fis-3194	71	7	formulation	formulation	NOUN
fis-3194	71	8	of	of	ADP
fis-3194	71	9	the	the	DET
fis-3194	71	10	multicoated	multicoate	VERB
fis-3194	71	11	inclusion	inclusion	NOUN
fis-3194	71	12	problem	problem	NOUN
fis-3194	71	13	in	in	ADP
fis-3194	71	14	the	the	DET
fis-3194	71	15	general	general	ADJ
fis-3194	71	16	case	case	NOUN
fis-3194	71	17	of	of	ADP
fis-3194	71	18	ellipsoidal	ellipsoidal	ADJ
fis-3194	71	19	inclusions	inclusion	NOUN
fis-3194	71	20	,	,	PUNCT
fis-3194	71	21	and	and	CCONJ
fis-3194	71	22	anisotropic	anisotropic	NOUN
fis-3194	71	23	elasticity	elasticity	NOUN
fis-3194	71	24	.	.	PUNCT
fis-3194	72	1	rodríguez	rodríguez	NOUN
fis-3194	72	2	-	-	PUNCT
fis-3194	72	3	ramos	ramos	PROPN
fis-3194	72	4	et	et	PROPN
fis-3194	72	5	al	al	PROPN
fis-3194	72	6	.	.	PUNCT
fis-3194	73	1	[	[	X
fis-3194	73	2	19	19	NUM
fis-3194	73	3	]	]	PUNCT
fis-3194	73	4	used	use	VERB
fis-3194	73	5	the	the	DET
fis-3194	73	6	asymptotic	asymptotic	ADJ
fis-3194	73	7	homogenization	homogenization	NOUN
fis-3194	73	8	method	method	NOUN
fis-3194	73	9	(	(	PUNCT
fis-3194	73	10	ahm	ahm	NOUN
fis-3194	73	11	)	)	PUNCT
fis-3194	73	12	,	,	PUNCT
fis-3194	73	13	and	and	CCONJ
fis-3194	73	14	eigenfunction	eigenfunction	VERB
fis-3194	73	15	expansion	expansion	NOUN
fis-3194	73	16	-	-	PUNCT
fis-3194	73	17	variational	variational	ADJ
fis-3194	73	18	method	method	NOUN
fis-3194	73	19	(	(	PUNCT
fis-3194	73	20	eevm	eevm	NOUN
fis-3194	73	21	)	)	PUNCT
fis-3194	73	22	to	to	PART
fis-3194	73	23	obtain	obtain	VERB
fis-3194	73	24	the	the	DET
fis-3194	73	25	effective	effective	ADJ
fis-3194	73	26	elastic	elastic	ADJ
fis-3194	73	27	moduli	modulus	NOUN
fis-3194	73	28	of	of	ADP
fis-3194	73	29	two	two	NUM
fis-3194	73	30	-	-	PUNCT
fis-3194	73	31	phase	phase	NOUN
fis-3194	73	32	fibrous	fibrous	ADJ
fis-3194	73	33	periodic	periodic	ADJ
fis-3194	73	34	composites	composite	NOUN
fis-3194	73	35	,	,	PUNCT
fis-3194	73	36	for	for	ADP
fis-3194	73	37	different	different	ADJ
fis-3194	73	38	types	type	NOUN
fis-3194	73	39	of	of	ADP
fis-3194	73	40	parallelogram	parallelogram	NOUN
fis-3194	73	41	cells	cell	NOUN
fis-3194	73	42	.	.	PUNCT
fis-3194	74	1	nevertheless	nevertheless	ADV
fis-3194	74	2	,	,	PUNCT
fis-3194	74	3	the	the	DET
fis-3194	74	4	latter	latter	ADJ
fis-3194	74	5	are	be	AUX
fis-3194	74	6	more	more	ADV
fis-3194	74	7	and	and	CCONJ
fis-3194	74	8	more	more	ADV
fis-3194	74	9	used	use	VERB
fis-3194	74	10	for	for	ADP
fis-3194	74	11	structures	structure	NOUN
fis-3194	74	12	used	use	VERB
fis-3194	74	13	at	at	ADP
fis-3194	74	14	their	their	PRON
fis-3194	74	15	limit	limit	NOUN
fis-3194	74	16	,	,	PUNCT
fis-3194	74	17	which	which	PRON
fis-3194	74	18	prompts	prompt	VERB
fis-3194	74	19	us	we	PRON
fis-3194	74	20	to	to	PART
fis-3194	74	21	look	look	VERB
fis-3194	74	22	for	for	ADP
fis-3194	74	23	a	a	DET
fis-3194	74	24	method	method	NOUN
fis-3194	74	25	to	to	PART
fis-3194	74	26	predict	predict	VERB
fis-3194	74	27	the	the	DET
fis-3194	74	28	onset	onset	NOUN
fis-3194	74	29	of	of	ADP
fis-3194	74	30	damage	damage	NOUN
fis-3194	74	31	and	and	CCONJ
fis-3194	74	32	the	the	DET
fis-3194	74	33	resulting	result	VERB
fis-3194	74	34	behavior	behavior	NOUN
fis-3194	74	35	.	.	PUNCT
fis-3194	75	1	some	some	DET
fis-3194	75	2	analytical	analytical	ADJ
fis-3194	75	3	investigations	investigation	NOUN
fis-3194	75	4	directly	directly	ADV
fis-3194	75	5	related	relate	VERB
fis-3194	75	6	to	to	ADP
fis-3194	75	7	this	this	DET
fis-3194	75	8	study	study	NOUN
fis-3194	75	9	are	be	AUX
fis-3194	75	10	briefly	briefly	ADV
fis-3194	75	11	reviewed	review	VERB
fis-3194	75	12	.	.	PUNCT
fis-3194	76	1	yang	yang	PROPN
fis-3194	76	2	and	and	CCONJ
fis-3194	76	3	misra	misra	VERB
fis-3194	77	1	[	[	X
fis-3194	77	2	20	20	NUM
fis-3194	77	3	]	]	PUNCT
fis-3194	77	4	proposed	propose	VERB
fis-3194	77	5	a	a	DET
fis-3194	77	6	second	second	ADJ
fis-3194	77	7	gradient	gradient	ADJ
fis-3194	77	8	stress	stress	NOUN
fis-3194	77	9	–	–	PUNCT
fis-3194	77	10	strain	strain	NOUN
fis-3194	77	11	theory	theory	NOUN
fis-3194	77	12	for	for	ADP
fis-3194	77	13	materials	material	NOUN
fis-3194	77	14	following	follow	VERB
fis-3194	77	15	damage	damage	NOUN
fis-3194	77	16	elasticity	elasticity	NOUN
fis-3194	77	17	based	base	VERB
fis-3194	77	18	on	on	ADP
fis-3194	77	19	the	the	DET
fis-3194	77	20	method	method	NOUN
fis-3194	77	21	of	of	ADP
fis-3194	77	22	virtual	virtual	ADJ
fis-3194	77	23	power	power	NOUN
fis-3194	77	24	.	.	PUNCT
fis-3194	78	1	this	this	DET
fis-3194	78	2	approach	approach	NOUN
fis-3194	78	3	made	make	VERB
fis-3194	78	4	it	it	PRON
fis-3194	78	5	possible	possible	ADJ
fis-3194	78	6	to	to	PART
fis-3194	78	7	develop	develop	VERB
fis-3194	78	8	the	the	DET
fis-3194	78	9	equations	equation	NOUN
fis-3194	78	10	governing	govern	VERB
fis-3194	78	11	cohesive	cohesive	ADJ
fis-3194	78	12	materials	material	NOUN
fis-3194	78	13	undergoing	undergo	VERB
fis-3194	78	14	damage	damage	NOUN
fis-3194	78	15	.	.	PUNCT
fis-3194	79	1	khoroshun	khoroshun	PROPN
fis-3194	79	2	and	and	CCONJ
fis-3194	79	3	shikula	shikula	NOUN
fis-3194	80	1	[	[	X
fis-3194	80	2	21	21	NUM
fis-3194	80	3	]	]	PUNCT
fis-3194	80	4	described	describe	VERB
fis-3194	80	5	several	several	ADJ
fis-3194	80	6	mathematical	mathematical	ADJ
fis-3194	80	7	models	model	NOUN
fis-3194	80	8	on	on	ADP
fis-3194	80	9	the	the	DET
fis-3194	80	10	k.	k.	PROPN
fis-3194	80	11	benyahi	benyahi	PROPN
fis-3194	80	12	et	et	PROPN
fis-3194	80	13	alii	alii	PROPN
fis-3194	80	14	,	,	PUNCT
fis-3194	80	15	frattura	frattura	PROPN
fis-3194	80	16	ed	ed	PROPN
fis-3194	80	17	integrità	integrità	PROPN
fis-3194	80	18	strutturale	strutturale	PROPN
fis-3194	80	19	,	,	PUNCT
fis-3194	80	20	58	58	NUM
fis-3194	80	21	(	(	PUNCT
fis-3194	80	22	2021	2021	NUM
fis-3194	80	23	)	)	PUNCT
fis-3194	80	24	319	319	NUM
fis-3194	80	25	-	-	SYM
fis-3194	80	26	343	343	NUM
fis-3194	80	27	;	;	PUNCT
fis-3194	80	28	doi	doi	NOUN
fis-3194	80	29	:	:	PUNCT
fis-3194	80	30	10.3221	10.3221	NUM
fis-3194	80	31	/	/	SYM
fis-3194	80	32	igf	igf	PROPN
fis-3194	80	33	-	-	PUNCT
fis-3194	80	34	esis.58.24	esis.58.24	ADJ
fis-3194	80	35	321	321	NUM
fis-3194	80	36	different	different	ADJ
fis-3194	80	37	coupled	couple	VERB
fis-3194	80	38	deformation	deformation	NOUN
fis-3194	80	39	,	,	PUNCT
fis-3194	80	40	and	and	CCONJ
fis-3194	80	41	long	long	ADJ
fis-3194	80	42	-	-	PUNCT
fis-3194	80	43	term	term	NOUN
fis-3194	80	44	microdamage	microdamage	NOUN
fis-3194	80	45	processes	process	NOUN
fis-3194	80	46	applied	apply	VERB
fis-3194	80	47	to	to	ADP
fis-3194	80	48	linear	linear	ADJ
fis-3194	80	49	elastic	elastic	ADJ
fis-3194	80	50	composites	composite	NOUN
fis-3194	80	51	of	of	ADP
fis-3194	80	52	stochastic	stochastic	ADJ
fis-3194	80	53	structure	structure	NOUN
fis-3194	80	54	.	.	PUNCT
fis-3194	81	1	berthier	berthier	NOUN
fis-3194	81	2	et	et	PROPN
fis-3194	81	3	al	al	PROPN
fis-3194	81	4	.	.	PUNCT
fis-3194	82	1	[	[	X
fis-3194	82	2	22	22	NUM
fis-3194	82	3	]	]	PUNCT
fis-3194	82	4	developed	develop	VERB
fis-3194	82	5	a	a	DET
fis-3194	82	6	time	time	NOUN
fis-3194	82	7	-	-	PUNCT
fis-3194	82	8	dependent	dependent	ADJ
fis-3194	82	9	nonlocal	nonlocal	ADJ
fis-3194	82	10	continuous	continuous	ADJ
fis-3194	82	11	damage	damage	NOUN
fis-3194	82	12	model	model	NOUN
fis-3194	82	13	,	,	PUNCT
fis-3194	82	14	which	which	PRON
fis-3194	82	15	takes	take	VERB
fis-3194	82	16	into	into	ADP
fis-3194	82	17	account	account	NOUN
fis-3194	82	18	the	the	DET
fis-3194	82	19	transfer	transfer	NOUN
fis-3194	82	20	of	of	ADP
fis-3194	82	21	elastic	elastic	ADJ
fis-3194	82	22	energy	energy	NOUN
fis-3194	82	23	stored	store	VERB
fis-3194	82	24	in	in	ADP
fis-3194	82	25	fibers	fiber	NOUN
fis-3194	82	26	in	in	ADP
fis-3194	82	27	breaking	break	VERB
fis-3194	82	28	energy	energy	NOUN
fis-3194	82	29	and	and	CCONJ
fis-3194	82	30	viscous	viscous	ADJ
fis-3194	82	31	dissipation	dissipation	NOUN
fis-3194	82	32	.	.	PUNCT
fis-3194	83	1	dorhmi	dorhmi	NOUN
fis-3194	83	2	et	et	PROPN
fis-3194	83	3	al	al	PROPN
fis-3194	83	4	.	.	PUNCT
fis-3194	84	1	[	[	X
fis-3194	84	2	23	23	NUM
fis-3194	84	3	]	]	PUNCT
fis-3194	84	4	developed	develop	VERB
fis-3194	84	5	micromechanical	micromechanical	ADJ
fis-3194	84	6	model	model	NOUN
fis-3194	84	7	to	to	PART
fis-3194	84	8	describe	describe	VERB
fis-3194	84	9	the	the	DET
fis-3194	84	10	progressive	progressive	ADJ
fis-3194	84	11	loss	loss	NOUN
fis-3194	84	12	of	of	ADP
fis-3194	84	13	stiffness	stiffness	NOUN
fis-3194	84	14	observed	observe	VERB
fis-3194	84	15	during	during	ADP
fis-3194	84	16	plastic	plastic	ADJ
fis-3194	84	17	straining	straining	NOUN
fis-3194	84	18	based	base	VERB
fis-3194	84	19	on	on	ADP
fis-3194	84	20	microstructure	microstructure	ADJ
fis-3194	84	21	changes	change	NOUN
fis-3194	84	22	.	.	PUNCT
fis-3194	85	1	the	the	DET
fis-3194	85	2	study	study	NOUN
fis-3194	85	3	is	be	AUX
fis-3194	85	4	being	be	AUX
fis-3194	85	5	carried	carry	VERB
fis-3194	85	6	out	out	ADP
fis-3194	85	7	on	on	ADP
fis-3194	85	8	ductile	ductile	NOUN
fis-3194	85	9	metal	metal	NOUN
fis-3194	85	10	-	-	PUNCT
fis-3194	85	11	matrix	matrix	NOUN
fis-3194	85	12	composites	composite	NOUN
fis-3194	85	13	subjected	subject	VERB
fis-3194	85	14	to	to	ADP
fis-3194	85	15	mechanical	mechanical	ADJ
fis-3194	85	16	loadings	loading	NOUN
fis-3194	85	17	.	.	PUNCT
fis-3194	86	1	sorić	sorić	PROPN
fis-3194	86	2	et	et	PROPN
fis-3194	86	3	al	al	PROPN
fis-3194	86	4	.	.	PUNCT
fis-3194	87	1	[	[	X
fis-3194	87	2	24	24	NUM
fis-3194	87	3	]	]	PUNCT
fis-3194	87	4	proposed	propose	VERB
fis-3194	87	5	a	a	DET
fis-3194	87	6	numerical	numerical	ADJ
fis-3194	87	7	modelling	modelling	NOUN
fis-3194	87	8	of	of	ADP
fis-3194	87	9	the	the	DET
fis-3194	87	10	responses	response	NOUN
fis-3194	87	11	to	to	PART
fis-3194	87	12	ductile	ductile	VERB
fis-3194	87	13	damage	damage	NOUN
fis-3194	87	14	in	in	ADP
fis-3194	87	15	heterogeneous	heterogeneous	ADJ
fis-3194	87	16	materials	material	NOUN
fis-3194	87	17	,	,	PUNCT
fis-3194	87	18	by	by	ADP
fis-3194	87	19	a	a	DET
fis-3194	87	20	second	second	ADJ
fis-3194	87	21	order	order	NOUN
fis-3194	87	22	homogenization	homogenization	NOUN
fis-3194	87	23	approach	approach	NOUN
fis-3194	87	24	.	.	PUNCT
fis-3194	88	1	the	the	DET
fis-3194	88	2	evolution	evolution	NOUN
fis-3194	88	3	of	of	ADP
fis-3194	88	4	ductile	ductile	NOUN
fis-3194	88	5	damage	damage	NOUN
fis-3194	88	6	at	at	ADP
fis-3194	88	7	the	the	DET
fis-3194	88	8	microlevel	microlevel	NOUN
fis-3194	88	9	is	be	AUX
fis-3194	88	10	taken	take	VERB
fis-3194	88	11	into	into	ADP
fis-3194	88	12	account	account	NOUN
fis-3194	88	13	,	,	PUNCT
fis-3194	88	14	by	by	ADP
fis-3194	88	15	using	use	VERB
fis-3194	88	16	the	the	DET
fis-3194	88	17	gradient	gradient	NOUN
fis-3194	88	18	enhanced	enhance	VERB
fis-3194	88	19	elastoplasticity	elastoplasticity	NOUN
fis-3194	88	20	.	.	PUNCT
fis-3194	89	1	wu	wu	PROPN
fis-3194	89	2	et	et	PROPN
fis-3194	89	3	al	al	PROPN
fis-3194	89	4	.	.	PUNCT
fis-3194	90	1	[	[	X
fis-3194	90	2	25	25	NUM
fis-3194	90	3	]	]	PUNCT
fis-3194	90	4	proposed	propose	VERB
fis-3194	90	5	an	an	DET
fis-3194	90	6	improved	improved	ADJ
fis-3194	90	7	gradient	gradient	NOUN
fis-3194	90	8	homogenization	homogenization	NOUN
fis-3194	90	9	procedure	procedure	NOUN
fis-3194	90	10	for	for	ADP
fis-3194	90	11	fiber	fiber	NOUN
fis-3194	90	12	reinforced	reinforce	VERB
fis-3194	90	13	materials	material	NOUN
fis-3194	90	14	.	.	PUNCT
fis-3194	91	1	in	in	ADP
fis-3194	91	2	this	this	DET
fis-3194	91	3	model	model	NOUN
fis-3194	91	4	,	,	PUNCT
fis-3194	91	5	the	the	DET
fis-3194	91	6	fiber	fiber	NOUN
fis-3194	91	7	is	be	AUX
fis-3194	91	8	considered	consider	VERB
fis-3194	91	9	as	as	ADP
fis-3194	91	10	transversely	transversely	ADV
fis-3194	91	11	homogeneous	homogeneous	ADJ
fis-3194	91	12	isotropic	isotropic	NOUN
fis-3194	91	13	and	and	CCONJ
fis-3194	91	14	assumed	assume	VERB
fis-3194	91	15	to	to	PART
fis-3194	91	16	remain	remain	VERB
fis-3194	91	17	linear	linear	ADJ
fis-3194	91	18	elastic	elastic	ADJ
fis-3194	91	19	.	.	PUNCT
fis-3194	92	1	while	while	SCONJ
fis-3194	92	2	the	the	DET
fis-3194	92	3	material	material	NOUN
fis-3194	92	4	of	of	ADP
fis-3194	92	5	the	the	DET
fis-3194	92	6	matrix	matrix	NOUN
fis-3194	92	7	can	can	AUX
fis-3194	92	8	be	be	AUX
fis-3194	92	9	considered	consider	VERB
fis-3194	92	10	as	as	ADP
fis-3194	92	11	homogeneous	homogeneous	ADJ
fis-3194	92	12	isotropic	isotropic	NOUN
fis-3194	92	13	.	.	PUNCT
fis-3194	93	1	it	it	PRON
fis-3194	93	2	is	be	AUX
fis-3194	93	3	modeled	model	VERB
fis-3194	93	4	as	as	ADP
fis-3194	93	5	elastoplastic	elastoplastic	NOUN
fis-3194	93	6	coupled	couple	VERB
fis-3194	93	7	to	to	ADP
fis-3194	93	8	a	a	DET
fis-3194	93	9	damage	damage	NOUN
fis-3194	93	10	law	law	NOUN
fis-3194	93	11	described	describe	VERB
fis-3194	93	12	by	by	ADP
fis-3194	93	13	a	a	DET
fis-3194	93	14	non	non	ADJ
fis-3194	93	15	-	-	ADJ
fis-3194	93	16	local	local	ADJ
fis-3194	93	17	constitutive	constitutive	ADJ
fis-3194	93	18	model	model	NOUN
fis-3194	93	19	.	.	PUNCT
fis-3194	94	1	the	the	DET
fis-3194	94	2	method	method	NOUN
fis-3194	94	3	has	have	AUX
fis-3194	94	4	been	be	AUX
fis-3194	94	5	validated	validate	VERB
fis-3194	94	6	by	by	ADP
fis-3194	94	7	the	the	DET
fis-3194	94	8	simulation	simulation	NOUN
fis-3194	94	9	of	of	ADP
fis-3194	94	10	a	a	DET
fis-3194	94	11	damage	damage	NOUN
fis-3194	94	12	process	process	NOUN
fis-3194	94	13	,	,	PUNCT
fis-3194	94	14	in	in	ADP
fis-3194	94	15	unidirectional	unidirectional	ADJ
fis-3194	94	16	carbon	carbon	NOUN
fis-3194	94	17	fiber	fiber	NOUN
fis-3194	94	18	reinforced	reinforce	VERB
fis-3194	94	19	epoxy	epoxy	NOUN
fis-3194	94	20	composites	composite	NOUN
fis-3194	94	21	,	,	PUNCT
fis-3194	94	22	subjected	subject	VERB
fis-3194	94	23	to	to	ADP
fis-3194	94	24	different	different	ADJ
fis-3194	94	25	load	load	NOUN
fis-3194	94	26	conditions	condition	NOUN
fis-3194	94	27	.	.	PUNCT
fis-3194	95	1	devries	devries	PROPN
fis-3194	95	2	et	et	PROPN
fis-3194	95	3	al	al	PROPN
fis-3194	95	4	.	.	PUNCT
fis-3194	96	1	[	[	X
fis-3194	96	2	26	26	NUM
fis-3194	96	3	]	]	PUNCT
fis-3194	96	4	developed	develop	VERB
fis-3194	96	5	the	the	DET
fis-3194	96	6	main	main	ADJ
fis-3194	96	7	results	result	NOUN
fis-3194	96	8	of	of	ADP
fis-3194	96	9	the	the	DET
fis-3194	96	10	homogenization	homogenization	NOUN
fis-3194	96	11	theory	theory	NOUN
fis-3194	96	12	of	of	ADP
fis-3194	96	13	periodic	periodic	ADJ
fis-3194	96	14	media	medium	NOUN
fis-3194	96	15	,	,	PUNCT
fis-3194	96	16	as	as	ADV
fis-3194	96	17	well	well	ADV
fis-3194	96	18	as	as	ADP
fis-3194	96	19	the	the	DET
fis-3194	96	20	assessment	assessment	NOUN
fis-3194	96	21	and	and	CCONJ
fis-3194	96	22	simulation	simulation	NOUN
fis-3194	96	23	of	of	ADP
fis-3194	96	24	damage	damage	NOUN
fis-3194	96	25	for	for	ADP
fis-3194	96	26	composite	composite	ADJ
fis-3194	96	27	materials	material	NOUN
fis-3194	96	28	.	.	PUNCT
fis-3194	97	1	their	their	PRON
fis-3194	97	2	applications	application	NOUN
fis-3194	97	3	focused	focus	VERB
fis-3194	97	4	on	on	ADP
fis-3194	97	5	the	the	DET
fis-3194	97	6	simulation	simulation	NOUN
fis-3194	97	7	of	of	ADP
fis-3194	97	8	the	the	DET
fis-3194	97	9	evolution	evolution	NOUN
fis-3194	97	10	of	of	ADP
fis-3194	97	11	damage	damage	NOUN
fis-3194	97	12	by	by	ADP
fis-3194	97	13	fiber	fiber	NOUN
fis-3194	97	14	failure	failure	NOUN
fis-3194	97	15	in	in	ADP
fis-3194	97	16	a	a	DET
fis-3194	97	17	unidirectional	unidirectional	ADJ
fis-3194	97	18	composite	composite	NOUN
fis-3194	97	19	,	,	PUNCT
fis-3194	97	20	involving	involve	VERB
fis-3194	97	21	parameters	parameter	NOUN
fis-3194	97	22	defined	define	VERB
fis-3194	97	23	at	at	ADP
fis-3194	97	24	the	the	DET
fis-3194	97	25	microscopic	microscopic	ADJ
fis-3194	97	26	scale	scale	NOUN
fis-3194	97	27	.	.	PUNCT
fis-3194	98	1	and	and	CCONJ
fis-3194	98	2	the	the	DET
fis-3194	98	3	prediction	prediction	NOUN
fis-3194	98	4	of	of	ADP
fis-3194	98	5	takeoff	takeoff	NOUN
fis-3194	98	6	near	near	ADP
fis-3194	98	7	a	a	DET
fis-3194	98	8	free	free	ADJ
fis-3194	98	9	edge	edge	NOUN
fis-3194	98	10	in	in	ADP
fis-3194	98	11	a	a	DET
fis-3194	98	12	layered	layered	ADJ
fis-3194	98	13	structure	structure	NOUN
fis-3194	98	14	,	,	PUNCT
fis-3194	98	15	using	use	VERB
fis-3194	98	16	asymptotic	asymptotic	ADJ
fis-3194	98	17	extensions	extension	NOUN
fis-3194	98	18	of	of	ADP
fis-3194	98	19	the	the	DET
fis-3194	98	20	boundary	boundary	ADJ
fis-3194	98	21	layer	layer	NOUN
fis-3194	98	22	.	.	PUNCT
fis-3194	99	1	xia	xia	PROPN
fis-3194	99	2	et	et	PROPN
fis-3194	99	3	al	al	PROPN
fis-3194	99	4	.	.	PUNCT
fis-3194	100	1	[	[	X
fis-3194	100	2	27	27	NUM
fis-3194	100	3	]	]	PUNCT
fis-3194	100	4	developed	develop	VERB
fis-3194	100	5	a	a	DET
fis-3194	100	6	three	three	NUM
fis-3194	100	7	-	-	PUNCT
fis-3194	100	8	dimensional	dimensional	ADJ
fis-3194	100	9	meso	meso	NOUN
fis-3194	100	10	/	/	SYM
fis-3194	100	11	micro	micro	ADJ
fis-3194	100	12	-	-	ADJ
fis-3194	100	13	mechanical	mechanical	ADJ
fis-3194	100	14	finite	finite	PROPN
fis-3194	100	15	element	element	NOUN
fis-3194	100	16	multilayer	multilayer	ADJ
fis-3194	100	17	model	model	NOUN
fis-3194	100	18	for	for	ADP
fis-3194	100	19	the	the	DET
fis-3194	100	20	prediction	prediction	NOUN
fis-3194	100	21	of	of	ADP
fis-3194	100	22	the	the	DET
fis-3194	100	23	overall	overall	ADJ
fis-3194	100	24	mechanical	mechanical	ADJ
fis-3194	100	25	behavior	behavior	NOUN
fis-3194	100	26	of	of	ADP
fis-3194	100	27	glass	glass	NOUN
fis-3194	100	28	fibers	fiber	NOUN
fis-3194	100	29	[	[	X
fis-3194	100	30	0,903,0	0,903,0	X
fis-3194	100	31	]	]	X
fis-3194	100	32	t	t	PROPN
fis-3194	100	33	/	/	SYM
fis-3194	100	34	epoxy	epoxy	NOUN
fis-3194	100	35	laminate	laminate	NOUN
fis-3194	100	36	,	,	PUNCT
fis-3194	100	37	and	and	CCONJ
fis-3194	100	38	for	for	ADP
fis-3194	100	39	the	the	DET
fis-3194	100	40	study	study	NOUN
fis-3194	100	41	of	of	ADP
fis-3194	100	42	damage	damage	NOUN
fis-3194	100	43	mechanisms	mechanism	NOUN
fis-3194	100	44	in	in	ADP
fis-3194	100	45	reinforced	reinforce	VERB
fis-3194	100	46	polymer	polymer	NOUN
fis-3194	100	47	laminates	laminate	NOUN
fis-3194	100	48	.	.	PUNCT
fis-3194	101	1	the	the	DET
fis-3194	101	2	epoxy	epoxy	NOUN
fis-3194	101	3	matrix	matrix	NOUN
fis-3194	101	4	is	be	AUX
fis-3194	101	5	represented	represent	VERB
fis-3194	101	6	by	by	ADP
fis-3194	101	7	a	a	DET
fis-3194	101	8	nonlinear	nonlinear	ADJ
fis-3194	101	9	viscoelastic	viscoelastic	PROPN
fis-3194	101	10	constitutive	constitutive	ADJ
fis-3194	101	11	model	model	NOUN
fis-3194	101	12	,	,	PUNCT
fis-3194	101	13	and	and	CCONJ
fis-3194	101	14	a	a	DET
fis-3194	101	15	criterion	criterion	NOUN
fis-3194	101	16	of	of	ADP
fis-3194	101	17	damage	damage	NOUN
fis-3194	101	18	to	to	ADP
fis-3194	101	19	the	the	DET
fis-3194	101	20	epoxy	epoxy	NOUN
fis-3194	101	21	matrix	matrix	NOUN
fis-3194	101	22	is	be	AUX
fis-3194	101	23	introduced	introduce	VERB
fis-3194	101	24	into	into	ADP
fis-3194	101	25	the	the	DET
fis-3194	101	26	finite	finite	PROPN
fis-3194	101	27	element	element	NOUN
fis-3194	101	28	model	model	NOUN
fis-3194	101	29	.	.	PUNCT
fis-3194	102	1	the	the	DET
fis-3194	102	2	model	model	NOUN
fis-3194	102	3	prediction	prediction	NOUN
fis-3194	102	4	was	be	AUX
fis-3194	102	5	in	in	ADP
fis-3194	102	6	good	good	ADJ
fis-3194	102	7	agreement	agreement	NOUN
fis-3194	102	8	with	with	ADP
fis-3194	102	9	the	the	DET
fis-3194	102	10	observation	observation	NOUN
fis-3194	102	11	of	of	ADP
fis-3194	102	12	experience	experience	NOUN
fis-3194	102	13	,	,	PUNCT
fis-3194	102	14	not	not	PART
fis-3194	102	15	only	only	ADV
fis-3194	102	16	in	in	ADP
fis-3194	102	17	the	the	DET
fis-3194	102	18	overall	overall	ADJ
fis-3194	102	19	stress	stress	NOUN
fis-3194	102	20	-	-	PUNCT
fis-3194	102	21	strain	strain	NOUN
fis-3194	102	22	response	response	NOUN
fis-3194	102	23	,	,	PUNCT
fis-3194	102	24	but	but	CCONJ
fis-3194	102	25	also	also	ADV
fis-3194	102	26	in	in	ADP
fis-3194	102	27	the	the	DET
fis-3194	102	28	initiation	initiation	NOUN
fis-3194	102	29	and	and	CCONJ
fis-3194	102	30	propagation	propagation	NOUN
fis-3194	102	31	of	of	ADP
fis-3194	102	32	damage	damage	NOUN
fis-3194	102	33	to	to	ADP
fis-3194	102	34	the	the	DET
fis-3194	102	35	transverse	transverse	NOUN
fis-3194	102	36	matrix	matrix	NOUN
fis-3194	102	37	.	.	PUNCT
fis-3194	103	1	in	in	ADP
fis-3194	103	2	this	this	DET
fis-3194	103	3	article	article	NOUN
fis-3194	103	4	,	,	PUNCT
fis-3194	103	5	periodic	periodic	ADJ
fis-3194	103	6	boundary	boundary	ADJ
fis-3194	103	7	equations	equation	NOUN
fis-3194	103	8	have	have	AUX
fis-3194	103	9	been	be	AUX
fis-3194	103	10	established	establish	VERB
fis-3194	103	11	and	and	CCONJ
fis-3194	103	12	applied	apply	VERB
fis-3194	103	13	to	to	ADP
fis-3194	103	14	the	the	DET
fis-3194	103	15	theory	theory	NOUN
fis-3194	103	16	based	base	VERB
fis-3194	103	17	on	on	ADP
fis-3194	103	18	finite	finite	ADJ
fis-3194	103	19	element	element	NOUN
fis-3194	103	20	analysis	analysis	NOUN
fis-3194	103	21	to	to	PART
fis-3194	103	22	predict	predict	VERB
fis-3194	103	23	macroscopic	macroscopic	ADJ
fis-3194	103	24	elasticity	elasticity	NOUN
fis-3194	103	25	.	.	PUNCT
fis-3194	104	1	while	while	SCONJ
fis-3194	104	2	considering	consider	VERB
fis-3194	104	3	a	a	DET
fis-3194	104	4	microstructure	microstructure	NOUN
fis-3194	104	5	composed	compose	VERB
fis-3194	104	6	by	by	ADP
fis-3194	104	7	several	several	ADJ
fis-3194	104	8	inclusions	inclusion	NOUN
fis-3194	104	9	with	with	ADP
fis-3194	104	10	different	different	ADJ
fis-3194	104	11	shapes	shape	NOUN
fis-3194	104	12	and	and	CCONJ
fis-3194	104	13	orientations	orientation	NOUN
fis-3194	104	14	,	,	PUNCT
fis-3194	104	15	and	and	CCONJ
fis-3194	104	16	a	a	DET
fis-3194	104	17	random	random	ADJ
fis-3194	104	18	distribution	distribution	NOUN
fis-3194	104	19	of	of	ADP
fis-3194	104	20	the	the	DET
fis-3194	104	21	latter	latter	ADJ
fis-3194	104	22	.	.	PUNCT
fis-3194	105	1	the	the	DET
fis-3194	105	2	use	use	NOUN
fis-3194	105	3	of	of	ADP
fis-3194	105	4	the	the	DET
fis-3194	105	5	homogenization	homogenization	NOUN
fis-3194	105	6	technique	technique	NOUN
fis-3194	105	7	allows	allow	VERB
fis-3194	105	8	us	we	PRON
fis-3194	105	9	to	to	PART
fis-3194	105	10	study	study	VERB
fis-3194	105	11	various	various	ADJ
fis-3194	105	12	damage	damage	NOUN
fis-3194	105	13	mechanisms	mechanism	NOUN
fis-3194	105	14	,	,	PUNCT
fis-3194	105	15	by	by	ADP
fis-3194	105	16	introducing	introduce	VERB
fis-3194	105	17	damaged	damage	VERB
fis-3194	105	18	medium	medium	NOUN
fis-3194	105	19	models	model	NOUN
fis-3194	105	20	from	from	ADP
fis-3194	105	21	a	a	DET
fis-3194	105	22	microscopic	microscopic	ADJ
fis-3194	105	23	approach	approach	NOUN
fis-3194	105	24	.	.	PUNCT
fis-3194	106	1	while	while	SCONJ
fis-3194	106	2	still	still	ADV
fis-3194	106	3	utilizing	utilize	VERB
fis-3194	106	4	the	the	DET
fis-3194	106	5	efficient	efficient	ADJ
fis-3194	106	6	mechanical	mechanical	ADJ
fis-3194	106	7	properties	property	NOUN
fis-3194	106	8	of	of	ADP
fis-3194	106	9	inclusion	inclusion	NOUN
fis-3194	106	10	composites	composite	NOUN
fis-3194	106	11	.	.	PUNCT
fis-3194	107	1	this	this	PRON
fis-3194	107	2	allowing	allow	VERB
fis-3194	107	3	us	we	PRON
fis-3194	107	4	to	to	PART
fis-3194	107	5	take	take	VERB
fis-3194	107	6	into	into	ADP
fis-3194	107	7	account	account	NOUN
fis-3194	107	8	the	the	DET
fis-3194	107	9	damaging	damaging	ADJ
fis-3194	107	10	behavior	behavior	NOUN
fis-3194	107	11	that	that	PRON
fis-3194	107	12	occurs	occur	VERB
fis-3194	107	13	in	in	ADP
fis-3194	107	14	the	the	DET
fis-3194	107	15	material	material	NOUN
fis-3194	107	16	,	,	PUNCT
fis-3194	107	17	specifically	specifically	ADV
fis-3194	107	18	the	the	DET
fis-3194	107	19	matrix	matrix	NOUN
fis-3194	107	20	at	at	ADP
fis-3194	107	21	the	the	DET
fis-3194	107	22	micro	micro	ADJ
fis-3194	107	23	scale	scale	NOUN
fis-3194	107	24	.	.	PUNCT
fis-3194	108	1	this	this	DET
fis-3194	108	2	document	document	NOUN
fis-3194	108	3	is	be	AUX
fis-3194	108	4	organized	organize	VERB
fis-3194	108	5	as	as	SCONJ
fis-3194	108	6	follows	follow	VERB
fis-3194	108	7	.	.	PUNCT
fis-3194	109	1	section	section	NOUN
fis-3194	109	2	2	2	NUM
fis-3194	109	3	discusses	discuss	VERB
fis-3194	109	4	a	a	DET
fis-3194	109	5	method	method	NOUN
fis-3194	109	6	of	of	ADP
fis-3194	109	7	solving	solve	VERB
fis-3194	109	8	a	a	DET
fis-3194	109	9	periodic	periodic	ADJ
fis-3194	109	10	homogenization	homogenization	NOUN
fis-3194	109	11	problem	problem	NOUN
fis-3194	109	12	using	use	VERB
fis-3194	109	13	the	the	DET
fis-3194	109	14	principles	principle	NOUN
fis-3194	109	15	of	of	ADP
fis-3194	109	16	strain	strain	ADJ
fis-3194	109	17	energy	energy	NOUN
fis-3194	109	18	equivalence	equivalence	NOUN
fis-3194	109	19	,	,	PUNCT
fis-3194	109	20	in	in	ADP
fis-3194	109	21	a	a	DET
fis-3194	109	22	coordinated	coordinated	ADJ
fis-3194	109	23	way	way	NOUN
fis-3194	109	24	with	with	ADP
fis-3194	109	25	finite	finite	ADJ
fis-3194	109	26	element	element	NOUN
fis-3194	109	27	analysis	analysis	NOUN
fis-3194	109	28	.	.	PUNCT
fis-3194	110	1	it	it	PRON
fis-3194	110	2	gives	give	VERB
fis-3194	110	3	the	the	DET
fis-3194	110	4	modifications	modification	NOUN
fis-3194	110	5	required	require	VERB
fis-3194	110	6	in	in	ADP
fis-3194	110	7	the	the	DET
fis-3194	110	8	abaqus	abaqus	PROPN
fis-3194	110	9	calculation	calculation	NOUN
fis-3194	110	10	code	code	NOUN
fis-3194	110	11	by	by	ADP
fis-3194	110	12	python	python	PROPN
fis-3194	110	13	srcipts	srcipt	NOUN
fis-3194	110	14	,	,	PUNCT
fis-3194	110	15	in	in	ADP
fis-3194	110	16	order	order	NOUN
fis-3194	110	17	to	to	PART
fis-3194	110	18	introduce	introduce	VERB
fis-3194	110	19	periodic	periodic	ADJ
fis-3194	110	20	boundary	boundary	ADJ
fis-3194	110	21	conditions	condition	NOUN
fis-3194	110	22	at	at	ADP
fis-3194	110	23	the	the	DET
fis-3194	110	24	micro	micro	ADJ
fis-3194	110	25	scale	scale	NOUN
fis-3194	110	26	.	.	PUNCT
fis-3194	111	1	this	this	DET
fis-3194	111	2	procedure	procedure	NOUN
fis-3194	111	3	is	be	AUX
fis-3194	111	4	performed	perform	VERB
fis-3194	111	5	by	by	ADP
fis-3194	111	6	the	the	DET
fis-3194	111	7	introduction	introduction	NOUN
fis-3194	111	8	of	of	ADP
fis-3194	111	9	additional	additional	ADJ
fis-3194	111	10	degrees	degree	NOUN
fis-3194	111	11	of	of	ADP
fis-3194	111	12	freedom	freedom	NOUN
fis-3194	111	13	supporting	support	VERB
fis-3194	111	14	the	the	DET
fis-3194	111	15	components	component	NOUN
fis-3194	111	16	of	of	ADP
fis-3194	111	17	macroscopic	macroscopic	ADJ
fis-3194	111	18	strains	strain	NOUN
fis-3194	111	19	.	.	PUNCT
fis-3194	112	1	in	in	ADP
fis-3194	112	2	section	section	NOUN
fis-3194	112	3	3	3	NUM
fis-3194	112	4	are	be	AUX
fis-3194	112	5	presented	present	VERB
fis-3194	112	6	several	several	ADJ
fis-3194	112	7	damage	damage	NOUN
fis-3194	112	8	models	model	NOUN
fis-3194	112	9	controlled	control	VERB
fis-3194	112	10	by	by	ADP
fis-3194	112	11	an	an	DET
fis-3194	112	12	equivalent	equivalent	ADJ
fis-3194	112	13	strain	strain	NOUN
fis-3194	112	14	tensor	tensor	NOUN
fis-3194	112	15	in	in	ADP
fis-3194	112	16	the	the	DET
fis-3194	112	17	principal	principal	ADJ
fis-3194	112	18	coordinate	coordinate	NOUN
fis-3194	112	19	system	system	NOUN
fis-3194	112	20	.	.	PUNCT
fis-3194	113	1	the	the	DET
fis-3194	113	2	inclusions	inclusion	NOUN
fis-3194	113	3	are	be	AUX
fis-3194	113	4	supposed	suppose	VERB
fis-3194	113	5	to	to	PART
fis-3194	113	6	remain	remain	VERB
fis-3194	113	7	elastic	elastic	ADJ
fis-3194	113	8	,	,	PUNCT
fis-3194	113	9	while	while	SCONJ
fis-3194	113	10	the	the	DET
fis-3194	113	11	matrix	matrix	NOUN
fis-3194	113	12	is	be	AUX
fis-3194	113	13	supposed	suppose	VERB
fis-3194	113	14	to	to	PART
fis-3194	113	15	obey	obey	VERB
fis-3194	113	16	the	the	DET
fis-3194	113	17	actual	actual	ADJ
fis-3194	113	18	behavior	behavior	NOUN
fis-3194	113	19	of	of	ADP
fis-3194	113	20	the	the	DET
fis-3194	113	21	material	material	NOUN
fis-3194	113	22	constituting	constituting	NOUN
fis-3194	113	23	,	,	PUNCT
fis-3194	113	24	it	it	PRON
fis-3194	113	25	with	with	ADP
fis-3194	113	26	damage	damage	NOUN
fis-3194	113	27	at	at	ADP
fis-3194	113	28	the	the	DET
fis-3194	113	29	micro	micro	ADJ
fis-3194	113	30	level	level	NOUN
fis-3194	113	31	.	.	PUNCT
fis-3194	114	1	section	section	NOUN
fis-3194	114	2	4	4	NUM
fis-3194	114	3	presents	present	VERB
fis-3194	114	4	detailed	detailed	ADJ
fis-3194	114	5	results	result	NOUN
fis-3194	114	6	obtained	obtain	VERB
fis-3194	114	7	by	by	ADP
fis-3194	114	8	several	several	ADJ
fis-3194	114	9	tests	test	NOUN
fis-3194	114	10	of	of	ADP
fis-3194	114	11	this	this	DET
fis-3194	114	12	selected	select	VERB
fis-3194	114	13	periodic	periodic	ADJ
fis-3194	114	14	homogenization	homogenization	NOUN
fis-3194	114	15	method	method	NOUN
fis-3194	114	16	,	,	PUNCT
fis-3194	114	17	which	which	PRON
fis-3194	114	18	will	will	AUX
fis-3194	114	19	be	be	AUX
fis-3194	114	20	compared	compare	VERB
fis-3194	114	21	with	with	ADP
fis-3194	114	22	an	an	DET
fis-3194	114	23	estimated	estimate	VERB
fis-3194	114	24	homogenization	homogenization	NOUN
fis-3194	114	25	method	method	NOUN
fis-3194	114	26	(	(	PUNCT
fis-3194	114	27	mori	mori	NOUN
fis-3194	114	28	-	-	PUNCT
fis-3194	114	29	tanaka	tanaka	PROPN
fis-3194	114	30	model	model	PROPN
fis-3194	114	31	)	)	PUNCT
fis-3194	114	32	.	.	PUNCT
fis-3194	115	1	these	these	DET
fis-3194	115	2	results	result	NOUN
fis-3194	115	3	can	can	AUX
fis-3194	115	4	be	be	AUX
fis-3194	115	5	used	use	VERB
fis-3194	115	6	to	to	PART
fis-3194	115	7	verify	verify	VERB
fis-3194	115	8	the	the	DET
fis-3194	115	9	implementation	implementation	NOUN
fis-3194	115	10	of	of	ADP
fis-3194	115	11	the	the	DET
fis-3194	115	12	simplified	simplified	ADJ
fis-3194	115	13	approach	approach	NOUN
fis-3194	115	14	proposed	propose	VERB
fis-3194	115	15	in	in	ADP
fis-3194	115	16	the	the	DET
fis-3194	115	17	abaqus	abaqus	PROPN
fis-3194	115	18	calculation	calculation	NOUN
fis-3194	115	19	code	code	NOUN
fis-3194	115	20	.	.	PUNCT
fis-3194	116	1	finally	finally	ADV
fis-3194	116	2	,	,	PUNCT
fis-3194	116	3	section	section	NOUN
fis-3194	116	4	5	5	NUM
fis-3194	116	5	provides	provide	VERB
fis-3194	116	6	applications	application	NOUN
fis-3194	116	7	regarding	regard	VERB
fis-3194	116	8	the	the	DET
fis-3194	116	9	introduction	introduction	NOUN
fis-3194	116	10	of	of	ADP
fis-3194	116	11	damage	damage	NOUN
fis-3194	116	12	into	into	ADP
fis-3194	116	13	the	the	DET
fis-3194	116	14	homogenization	homogenization	NOUN
fis-3194	116	15	problem	problem	NOUN
fis-3194	116	16	.	.	PUNCT
fis-3194	117	1	it	it	PRON
fis-3194	117	2	is	be	AUX
fis-3194	117	3	a	a	DET
fis-3194	117	4	question	question	NOUN
fis-3194	117	5	of	of	ADP
fis-3194	117	6	using	use	VERB
fis-3194	117	7	a	a	DET
fis-3194	117	8	local	local	ADJ
fis-3194	117	9	formulation	formulation	NOUN
fis-3194	117	10	for	for	ADP
fis-3194	117	11	the	the	DET
fis-3194	117	12	evolution	evolution	NOUN
fis-3194	117	13	of	of	ADP
fis-3194	117	14	the	the	DET
fis-3194	117	15	damage	damage	NOUN
fis-3194	117	16	at	at	ADP
fis-3194	117	17	the	the	DET
fis-3194	117	18	level	level	NOUN
fis-3194	117	19	of	of	ADP
fis-3194	117	20	the	the	DET
fis-3194	117	21	microstructure	microstructure	NOUN
fis-3194	117	22	,	,	PUNCT
fis-3194	117	23	using	use	VERB
fis-3194	117	24	the	the	DET
fis-3194	117	25	subroutine	subroutine	NOUN
fis-3194	117	26	(	(	PUNCT
fis-3194	117	27	umat	umat	PROPN
fis-3194	117	28	)	)	PUNCT
fis-3194	117	29	implemented	implement	VERB
fis-3194	117	30	in	in	ADP
fis-3194	117	31	the	the	DET
fis-3194	117	32	fortran	fortran	ADJ
fis-3194	117	33	language	language	NOUN
fis-3194	117	34	on	on	ADP
fis-3194	117	35	the	the	DET
fis-3194	117	36	abaqus	abaqus	PROPN
fis-3194	117	37	calculation	calculation	NOUN
fis-3194	117	38	code	code	NOUN
fis-3194	117	39	.	.	PUNCT
fis-3194	118	1	this	this	DET
fis-3194	118	2	proposed	propose	VERB
fis-3194	118	3	method	method	NOUN
fis-3194	118	4	makes	make	VERB
fis-3194	118	5	it	it	PRON
fis-3194	118	6	possible	possible	ADJ
fis-3194	118	7	to	to	PART
fis-3194	118	8	simulate	simulate	VERB
fis-3194	118	9	the	the	DET
fis-3194	118	10	response	response	NOUN
fis-3194	118	11	of	of	ADP
fis-3194	118	12	the	the	DET
fis-3194	118	13	matrix	matrix	NOUN
fis-3194	118	14	behavior	behavior	NOUN
fis-3194	118	15	,	,	PUNCT
fis-3194	118	16	on	on	ADP
fis-3194	118	17	several	several	ADJ
fis-3194	118	18	rves	rf	NOUN
fis-3194	118	19	requested	request	VERB
fis-3194	118	20	in	in	ADP
fis-3194	118	21	uniaxial	uniaxial	ADJ
fis-3194	118	22	traction	traction	NOUN
fis-3194	118	23	.	.	PUNCT
fis-3194	119	1	periodic	periodic	ADJ
fis-3194	119	2	boundary	boundary	ADJ
fis-3194	119	3	condition	condition	NOUN
fis-3194	119	4	onsider	onsider	NOUN
fis-3194	119	5	a	a	DET
fis-3194	119	6	periodic	periodic	ADJ
fis-3194	119	7	structure	structure	NOUN
fis-3194	119	8	made	make	VERB
fis-3194	119	9	up	up	ADP
fis-3194	119	10	of	of	ADP
fis-3194	119	11	a	a	DET
fis-3194	119	12	periodic	periodic	ADJ
fis-3194	119	13	network	network	NOUN
fis-3194	119	14	of	of	ADP
fis-3194	119	15	repeated	repeat	VERB
fis-3194	119	16	unit	unit	NOUN
fis-3194	119	17	cells	cell	NOUN
fis-3194	119	18	.	.	PUNCT
fis-3194	120	1	in	in	ADP
fis-3194	120	2	the	the	DET
fis-3194	120	3	case	case	NOUN
fis-3194	120	4	of	of	ADP
fis-3194	120	5	a	a	DET
fis-3194	120	6	composite	composite	ADJ
fis-3194	120	7	material	material	NOUN
fis-3194	120	8	with	with	ADP
fis-3194	120	9	periodic	periodic	ADJ
fis-3194	120	10	microstructure	microstructure	NOUN
fis-3194	120	11	,	,	PUNCT
fis-3194	120	12	we	we	PRON
fis-3194	120	13	can	can	AUX
fis-3194	120	14	define	define	VERB
fis-3194	120	15	a	a	DET
fis-3194	120	16	"	"	PUNCT
fis-3194	120	17	basic	basic	ADJ
fis-3194	120	18	cell	cell	NOUN
fis-3194	120	19	"	"	PUNCT
fis-3194	120	20	and	and	CCONJ
fis-3194	120	21	also	also	ADV
fis-3194	120	22	periodicity	periodicity	NOUN
fis-3194	120	23	vectors	vector	NOUN
fis-3194	120	24	(	(	PUNCT
fis-3194	120	25	fig	fig	NOUN
fis-3194	120	26	.	.	PUNCT
fis-3194	121	1	1	1	NUM
fis-3194	121	2	)	)	PUNCT
fis-3194	121	3	.	.	PUNCT
fis-3194	122	1	the	the	DET
fis-3194	122	2	field	field	NOUN
fis-3194	122	3	of	of	ADP
fis-3194	122	4	displacement	displacement	NOUN
fis-3194	122	5	for	for	ADP
fis-3194	122	6	a	a	DET
fis-3194	122	7	periodic	periodic	ADJ
fis-3194	122	8	structure	structure	NOUN
fis-3194	122	9	,	,	PUNCT
fis-3194	122	10	can	can	AUX
fis-3194	122	11	be	be	AUX
fis-3194	122	12	expressed	express	VERB
fis-3194	122	13	as	as	SCONJ
fis-3194	122	14	indicated	indicate	VERB
fis-3194	122	15	by	by	ADP
fis-3194	122	16	suquet	suquet	NOUN
fis-3194	122	17	[	[	X
fis-3194	122	18	1	1	NUM
fis-3194	122	19	]	]	X
fis-3194	122	20	:	:	PUNCT
fis-3194	122	21	=	=	NOUN
fis-3194	122	22	+	+	X
fis-3194	122	23	'	'	PUNCT
fis-3194	122	24	'	'	PUNCT
fis-3194	122	25	(	(	PUNCT
fis-3194	122	26	)	)	PUNCT
fis-3194	122	27	.	.	PUNCT
fis-3194	123	1	(	(	PUNCT
fis-3194	123	2	)	)	PUNCT
fis-3194	123	3	 	 	SPACE
fis-3194	123	4	,	,	PUNCT
fis-3194	123	5	     	     	SPACE
fis-3194	123	6	iji	iji	VERB
fis-3194	123	7	i	i	PRON
fis-3194	124	1	j	j	NOUN
fis-3194	125	1	i	i	PRON
fis-3194	125	2	i	i	PRON
fis-3194	125	3	iu	iu	VERB
fis-3194	125	4	x	x	VERB
fis-3194	125	5	x	x	SYM
fis-3194	125	6	u	u	NOUN
fis-3194	125	7	x	x	X
fis-3194	125	8	u	u	NOUN
fis-3194	125	9	periodic	periodic	NOUN
fis-3194	125	10	(	(	PUNCT
fis-3194	125	11	1	1	NUM
fis-3194	125	12	)	)	PUNCT
fis-3194	125	13	with	with	ADP
fis-3194	125	14	:	:	PUNCT
fis-3194	125	15	c	c	PROPN
fis-3194	125	16	k.	k.	PROPN
fis-3194	125	17	benyahi	benyahi	PROPN
fis-3194	125	18	et	et	PROPN
fis-3194	125	19	alii	alii	PROPN
fis-3194	125	20	,	,	PUNCT
fis-3194	125	21	frattura	frattura	PROPN
fis-3194	125	22	ed	ed	PROPN
fis-3194	125	23	integrità	integrità	PROPN
fis-3194	125	24	strutturale	strutturale	PROPN
fis-3194	125	25	,	,	PUNCT
fis-3194	125	26	58	58	NUM
fis-3194	125	27	(	(	PUNCT
fis-3194	125	28	2021	2021	NUM
fis-3194	125	29	)	)	PUNCT
fis-3194	125	30	319	319	NUM
fis-3194	125	31	-	-	SYM
fis-3194	125	32	343	343	NUM
fis-3194	125	33	;	;	PUNCT
fis-3194	125	34	doi	doi	NOUN
fis-3194	125	35	:	:	PUNCT
fis-3194	125	36	10.3221	10.3221	NUM
fis-3194	125	37	/	/	SYM
fis-3194	125	38	igf	igf	PROPN
fis-3194	125	39	-	-	PUNCT
fis-3194	125	40	esis.58.24	esis.58.24	ADJ
fis-3194	125	41	322	322	NUM
fis-3194	125	42			NOUN
fis-3194	125	43	.	.	PUNCT
fis-3194	126	1	ij	ij	INTJ
fis-3194	126	2	jx	jx	PROPN
fis-3194	126	3	:	:	PUNCT
fis-3194	126	4	represents	represent	VERB
fis-3194	126	5	a	a	DET
fis-3194	126	6	linear	linear	ADJ
fis-3194	126	7	displacement	displacement	ADJ
fis-3194	126	8	field	field	NOUN
fis-3194	126	9	,	,	PUNCT
fis-3194	126	10	'	'	PUNCT
fis-3194	126	11	(	(	PUNCT
fis-3194	126	12	)	)	PUNCT
fis-3194	126	13	i	i	PRON
fis-3194	126	14	iu	iu	VERB
fis-3194	126	15	x	x	X
fis-3194	126	16	:	:	PUNCT
fis-3194	126	17	is	be	AUX
fis-3194	126	18	a	a	DET
fis-3194	126	19	periodic	periodic	ADJ
fis-3194	126	20	function	function	NOUN
fis-3194	126	21	representing	represent	VERB
fis-3194	126	22	a	a	DET
fis-3194	126	23	modification	modification	NOUN
fis-3194	126	24	of	of	ADP
fis-3194	126	25	the	the	DET
fis-3194	126	26	linear	linear	ADJ
fis-3194	126	27	displacement	displacement	ADJ
fis-3194	126	28	field	field	NOUN
fis-3194	126	29	,	,	PUNCT
fis-3194	126	30	because	because	SCONJ
fis-3194	126	31	to	to	ADP
fis-3194	126	32	the	the	DET
fis-3194	126	33	heterogeneity	heterogeneity	NOUN
fis-3194	126	34	for	for	ADP
fis-3194	126	35	the	the	DET
fis-3194	126	36	composite	composite	ADJ
fis-3194	126	37	structure	structure	NOUN
fis-3194	126	38	.	.	PUNCT
fis-3194	127	1	figure	figure	VERB
fis-3194	127	2	1	1	NUM
fis-3194	127	3	:	:	PUNCT
fis-3194	127	4	description	description	NOUN
fis-3194	127	5	of	of	ADP
fis-3194	127	6	a	a	DET
fis-3194	127	7	different	different	ADJ
fis-3194	127	8	basic	basic	ADJ
fis-3194	127	9	cells	cell	NOUN
fis-3194	127	10	in	in	ADP
fis-3194	127	11	periodic	periodic	ADJ
fis-3194	127	12	microstructure	microstructure	NOUN
fis-3194	127	13	.	.	PUNCT
fis-3194	128	1	for	for	ADP
fis-3194	128	2	each	each	DET
fis-3194	128	3	unit	unit	NOUN
fis-3194	128	4	base	base	NOUN
fis-3194	128	5	cell	cell	NOUN
fis-3194	128	6	,	,	PUNCT
fis-3194	128	7	its	its	PRON
fis-3194	128	8	boundary	boundary	ADJ
fis-3194	128	9	surfaces	surface	NOUN
fis-3194	128	10	should	should	AUX
fis-3194	128	11	appear	appear	VERB
fis-3194	128	12	in	in	ADP
fis-3194	128	13	parallel	parallel	ADJ
fis-3194	128	14	pairs	pair	NOUN
fis-3194	128	15	,	,	PUNCT
fis-3194	128	16	and	and	CCONJ
fis-3194	128	17	displacements	displacement	NOUN
fis-3194	128	18	on	on	ADP
fis-3194	128	19	a	a	DET
fis-3194	128	20	pair	pair	NOUN
fis-3194	128	21	of	of	ADP
fis-3194	128	22	opposite	opposite	ADJ
fis-3194	128	23	parallel	parallel	ADJ
fis-3194	128	24	boundary	boundary	ADJ
fis-3194	128	25	surfaces	surface	NOUN
fis-3194	128	26	can	can	AUX
fis-3194	128	27	be	be	AUX
fis-3194	128	28	expressed	express	VERB
fis-3194	128	29	as	as	ADP
fis-3194	128	30	:	:	PUNCT
fis-3194	128	31	+	+	PROPN
fis-3194	128	32	+	+	NOUN
fis-3194	128	33	=	=	X
fis-3194	128	34	+	+	ADJ
fis-3194	128	35	(	(	PUNCT
fis-3194	128	36	)	)	PUNCT
fis-3194	128	37	(	(	PUNCT
fis-3194	128	38	)	)	PUNCT
fis-3194	128	39	'	'	PUNCT
fis-3194	129	1	ij	ij	INTJ
fis-3194	130	1	k	k	PROPN
fis-3194	130	2	k	k	PROPN
fis-3194	131	1	i	i	PRON
fis-3194	131	2	j	j	PROPN
fis-3194	131	3	iu	iu	ADP
fis-3194	131	4	x	x	PROPN
fis-3194	131	5	u	u	NOUN
fis-3194	131	6	(	(	PUNCT
fis-3194	131	7	2	2	NUM
fis-3194	131	8	)	)	PUNCT
fis-3194	131	9	−	−	NOUN
fis-3194	131	10	−=	−=	X
fis-3194	131	11	+	+	ADV
fis-3194	131	12	(	(	PUNCT
fis-3194	131	13	)	)	PUNCT
fis-3194	131	14	(	(	PUNCT
fis-3194	131	15	)	)	PUNCT
fis-3194	131	16	'	'	PUNCT
fis-3194	132	1	ij	ij	INTJ
fis-3194	133	1	k	k	PROPN
fis-3194	133	2	k	k	PROPN
fis-3194	134	1	i	i	PRON
fis-3194	134	2	j	j	PROPN
fis-3194	134	3	iu	iu	ADP
fis-3194	134	4	x	x	PROPN
fis-3194	134	5	u	u	NOUN
fis-3194	134	6	(	(	PUNCT
fis-3194	134	7	3	3	NUM
fis-3194	134	8	)	)	PUNCT
fis-3194	134	9	+	+	NOUN
fis-3194	134	10	k	k	NOUN
fis-3194	134	11	and	and	CCONJ
fis-3194	134	12	−k	−k	PROPN
fis-3194	134	13	:	:	PUNCT
fis-3194	134	14	the	the	DET
fis-3194	134	15	indices	index	NOUN
fis-3194	134	16	to	to	PART
fis-3194	134	17	identify	identify	VERB
fis-3194	134	18	the	the	DET
fis-3194	134	19	thk	thk	NOUN
fis-3194	134	20	pair	pair	NOUN
fis-3194	134	21	of	of	ADP
fis-3194	134	22	two	two	NUM
fis-3194	134	23	opposite	opposite	ADJ
fis-3194	134	24	parallel	parallel	ADJ
fis-3194	134	25	boundary	boundary	ADJ
fis-3194	134	26	surfaces	surface	NOUN
fis-3194	134	27	of	of	ADP
fis-3194	134	28	a	a	DET
fis-3194	134	29	representative	representative	ADJ
fis-3194	134	30	volume	volume	NOUN
fis-3194	134	31	element	element	NOUN
fis-3194	134	32	(	(	PUNCT
fis-3194	134	33	rve	rve	PROPN
fis-3194	134	34	)	)	PUNCT
fis-3194	134	35	.	.	PUNCT
fis-3194	135	1	the	the	DET
fis-3194	135	2	periodic	periodic	ADJ
fis-3194	135	3	function	function	NOUN
fis-3194	135	4	'	'	PUNCT
fis-3194	135	5	(	(	PUNCT
fis-3194	135	6	)	)	PUNCT
fis-3194	135	7	i	i	PRON
fis-3194	135	8	iu	iu	VERB
fis-3194	135	9	x	x	VERB
fis-3194	135	10	is	be	AUX
fis-3194	135	11	considered	consider	VERB
fis-3194	135	12	to	to	PART
fis-3194	135	13	be	be	AUX
fis-3194	135	14	the	the	DET
fis-3194	135	15	same	same	ADJ
fis-3194	135	16	for	for	ADP
fis-3194	135	17	two	two	NUM
fis-3194	135	18	parallel	parallel	ADJ
fis-3194	135	19	borders	border	NOUN
fis-3194	135	20	,	,	PUNCT
fis-3194	135	21	the	the	DET
fis-3194	135	22	difference	difference	NOUN
fis-3194	135	23	between	between	ADP
fis-3194	135	24	the	the	DET
fis-3194	135	25	eqn	eqn	NOUN
fis-3194	135	26	.	.	PROPN
fis-3194	135	27	2	2	NUM
fis-3194	135	28	and	and	CCONJ
fis-3194	135	29	eqn	eqn	NOUN
fis-3194	135	30	.	.	PUNCT
fis-3194	135	31	3	3	NUM
fis-3194	135	32	is	be	AUX
fis-3194	135	33	given	give	VERB
fis-3194	135	34	as	as	SCONJ
fis-3194	135	35	follows	follow	VERB
fis-3194	135	36	:	:	PUNCT
fis-3194	135	37			PROPN
fis-3194	135	38	+	+	VERB
fis-3194	135	39	−	−	PROPN
fis-3194	136	1	+	+	PUNCT
fis-3194	136	2	−−	−−	NOUN
fis-3194	136	3	=	=	SYM
fis-3194	137	1	−	−	PROPN
fis-3194	137	2	=	=	PUNCT
fis-3194	137	3			NOUN
fis-3194	137	4	(	(	PUNCT
fis-3194	137	5	)	)	PUNCT
fis-3194	137	6	(	(	PUNCT
fis-3194	137	7	)	)	PUNCT
fis-3194	137	8	(	(	PUNCT
fis-3194	137	9	)	)	PUNCT
fis-3194	137	10	(	(	PUNCT
fis-3194	137	11	)	)	PUNCT
fis-3194	137	12	(	(	PUNCT
fis-3194	137	13	)	)	PUNCT
fis-3194	138	1	k	k	PROPN
fis-3194	139	1	k	k	PROPN
fis-3194	140	1	k	k	PROPN
fis-3194	141	1	k	k	PROPN
fis-3194	142	1	k	k	PROPN
fis-3194	143	1	i	i	PRON
fis-3194	144	1	i	i	PRON
fis-3194	145	1	j	j	PROPN
fis-3194	146	1	ijij	ijij	ADJ
fis-3194	146	2	j	j	PROPN
fis-3194	146	3	ju	ju	PROPN
fis-3194	146	4	u	u	PROPN
fis-3194	146	5	x	x	X
fis-3194	146	6	x	x	SYM
fis-3194	146	7	x	x	X
fis-3194	146	8	(	(	PUNCT
fis-3194	146	9	4	4	NUM
fis-3194	146	10	)	)	PUNCT
fis-3194	146	11	with	with	ADP
fis-3194	146	12	:	:	PUNCT
fis-3194	146	13			X
fis-3194	147	1	k	k	PROPN
fis-3194	147	2	jx	jx	PROPN
fis-3194	147	3	:	:	PUNCT
fis-3194	147	4	the	the	DET
fis-3194	147	5	constants	constant	NOUN
fis-3194	147	6	for	for	ADP
fis-3194	147	7	each	each	DET
fis-3194	147	8	pair	pair	NOUN
fis-3194	147	9	of	of	ADP
fis-3194	147	10	parallel	parallel	ADJ
fis-3194	147	11	boundary	boundary	ADJ
fis-3194	147	12	surfaces	surface	NOUN
fis-3194	147	13	,	,	PUNCT
fis-3194	147	14	with	with	ADP
fis-3194	147	15			PROPN
fis-3194	147	16	ij	ij	NOUN
fis-3194	147	17	known	know	VERB
fis-3194	147	18	,	,	PUNCT
fis-3194	147	19			PROPN
fis-3194	147	20	ij	ij	INTJ
fis-3194	147	21	:	:	PUNCT
fis-3194	147	22	the	the	DET
fis-3194	147	23	tensor	tensor	NOUN
fis-3194	147	24	of	of	ADP
fis-3194	147	25	the	the	DET
fis-3194	147	26	macroscopic	macroscopic	ADJ
fis-3194	147	27	strains	strain	NOUN
fis-3194	147	28	of	of	ADP
fis-3194	147	29	the	the	DET
fis-3194	147	30	periodic	periodic	ADJ
fis-3194	147	31	structure	structure	NOUN
fis-3194	147	32	.	.	PUNCT
fis-3194	148	1	the	the	DET
fis-3194	148	2	average	average	ADJ
fis-3194	148	3	tensors	tensor	NOUN
fis-3194	148	4	of	of	ADP
fis-3194	148	5	stress	stress	NOUN
fis-3194	148	6	and	and	CCONJ
fis-3194	148	7	strain	strain	NOUN
fis-3194	148	8	are	be	AUX
fis-3194	148	9	obtained	obtain	VERB
fis-3194	148	10	by	by	ADP
fis-3194	148	11	an	an	DET
fis-3194	148	12	integration	integration	NOUN
fis-3194	148	13	on	on	ADP
fis-3194	148	14	the	the	DET
fis-3194	148	15	rve	rve	NOUN
fis-3194	148	16	,	,	PUNCT
fis-3194	148	17	as	as	SCONJ
fis-3194	148	18	follows	follow	VERB
fis-3194	148	19	:	:	PUNCT
fis-3194	148	20	(	(	PUNCT
fis-3194	148	21	)	)	PUNCT
fis-3194	148	22			PROPN
fis-3194	148	23	ij	ij	PROPN
fis-3194	148	24	ij	ij	NOUN
fis-3194	148	25	v	v	ADP
fis-3194	148	26	1	1	NUM
fis-3194	148	27	=	=	SYM
fis-3194	148	28	x	x	PROPN
fis-3194	148	29	,	,	PUNCT
fis-3194	148	30	y	y	PROPN
fis-3194	148	31	,	,	PUNCT
fis-3194	148	32	z	z	PROPN
fis-3194	148	33	dv	dv	PROPN
fis-3194	148	34	v	v	X
fis-3194	148	35	(	(	PUNCT
fis-3194	148	36	5	5	NUM
fis-3194	148	37	)	)	PUNCT
fis-3194	148	38	(	(	PUNCT
fis-3194	148	39	)	)	PUNCT
fis-3194	148	40			PROPN
fis-3194	148	41	ij	ij	NUM
fis-3194	148	42	ij	ij	NOUN
fis-3194	148	43	v	v	ADP
fis-3194	148	44	1	1	NUM
fis-3194	148	45	=	=	SYM
fis-3194	148	46	x	x	PROPN
fis-3194	148	47	,	,	PUNCT
fis-3194	148	48	y	y	PROPN
fis-3194	148	49	,	,	PUNCT
fis-3194	148	50	z	z	PROPN
fis-3194	148	51	dv	dv	PROPN
fis-3194	148	52	v	v	PROPN
fis-3194	148	53	(	(	PUNCT
fis-3194	148	54	6	6	NUM
fis-3194	148	55	)	)	PUNCT
fis-3194	148	56	the	the	DET
fis-3194	148	57	strain	strain	ADJ
fis-3194	148	58	energy	energy	NOUN
fis-3194	148	59	of	of	ADP
fis-3194	148	60	a	a	DET
fis-3194	148	61	homogeneous	homogeneous	ADJ
fis-3194	148	62	composite	composite	ADJ
fis-3194	148	63	material	material	NOUN
fis-3194	148	64	over	over	ADP
fis-3194	148	65	the	the	DET
fis-3194	148	66	rve	rve	PROPN
fis-3194	148	67	,	,	PUNCT
fis-3194	148	68	is	be	AUX
fis-3194	148	69	as	as	SCONJ
fis-3194	148	70	follows	follow	VERB
fis-3194	148	71	:	:	PUNCT
fis-3194	148	72			X
fis-3194	148	73	=	=	NOUN
fis-3194	148	74	ij	ij	INTJ
fis-3194	148	75	ij	ij	NOUN
fis-3194	148	76	1	1	NUM
fis-3194	148	77	2	2	NUM
fis-3194	148	78	u	u	NOUN
fis-3194	148	79	v	v	NOUN
fis-3194	148	80	(	(	PUNCT
fis-3194	148	81	7	7	NUM
fis-3194	148	82	)	)	PUNCT
fis-3194	148	83	the	the	DET
fis-3194	148	84	stored	store	VERB
fis-3194	148	85	strain	strain	NOUN
fis-3194	148	86	energy	energy	NOUN
fis-3194	148	87	of	of	ADP
fis-3194	148	88	a	a	DET
fis-3194	148	89	heterogeneous	heterogeneous	ADJ
fis-3194	148	90	composite	composite	ADJ
fis-3194	148	91	material	material	NOUN
fis-3194	148	92	over	over	ADP
fis-3194	148	93	the	the	DET
fis-3194	148	94	rve	rve	NOUN
fis-3194	148	95	is	be	AUX
fis-3194	148	96	as	as	SCONJ
fis-3194	148	97	follows	follow	VERB
fis-3194	148	98	:	:	PUNCT
fis-3194	148	99	k.	k.	PROPN
fis-3194	148	100	benyahi	benyahi	PROPN
fis-3194	148	101	et	et	PROPN
fis-3194	148	102	alii	alii	PROPN
fis-3194	148	103	,	,	PUNCT
fis-3194	148	104	frattura	frattura	PROPN
fis-3194	148	105	ed	ed	PROPN
fis-3194	148	106	integrità	integrità	PROPN
fis-3194	148	107	strutturale	strutturale	PROPN
fis-3194	148	108	,	,	PUNCT
fis-3194	148	109	58	58	NUM
fis-3194	148	110	(	(	PUNCT
fis-3194	148	111	2021	2021	NUM
fis-3194	148	112	)	)	PUNCT
fis-3194	148	113	319	319	NUM
fis-3194	148	114	-	-	SYM
fis-3194	148	115	343	343	NUM
fis-3194	148	116	;	;	PUNCT
fis-3194	148	117	doi	doi	NOUN
fis-3194	148	118	:	:	PUNCT
fis-3194	148	119	10.3221	10.3221	NUM
fis-3194	148	120	/	/	SYM
fis-3194	148	121	igf	igf	PROPN
fis-3194	148	122	-	-	PUNCT
fis-3194	148	123	esis.58.24	esis.58.24	ADJ
fis-3194	148	124	323	323	NUM
fis-3194	148	125			NOUN
fis-3194	148	126	=	=	NOUN
fis-3194	148	127			PUNCT
fis-3194	148	128	*	*	PUNCT
fis-3194	149	1	ij	ij	INTJ
fis-3194	149	2	ij	ij	INTJ
fis-3194	149	3	v	v	NUM
fis-3194	149	4	1	1	NUM
fis-3194	149	5	dv	dv	PROPN
fis-3194	149	6	2	2	NUM
fis-3194	149	7	u	u	NOUN
fis-3194	149	8	(	(	PUNCT
fis-3194	149	9	8)	8)	NUM
fis-3194	149	10	(	(	PUNCT
fis-3194	149	11	)	)	PUNCT
fis-3194	149	12			PROPN
fis-3194	149	13			PROPN
fis-3194	149	14			NOUN
fis-3194	149	15	+=	+=	NOUN
fis-3194	149	16	−	−	NOUN
fis-3194	149	17	*	*	PUNCT
fis-3194	149	18	ij	ij	INTJ
fis-3194	149	19	ijij	ijij	ADJ
fis-3194	149	20	ij	ij	NOUN
fis-3194	149	21	v	v	NOUN
fis-3194	149	22	1	1	NUM
fis-3194	149	23	dv	dv	PROPN
fis-3194	149	24	2	2	NUM
fis-3194	149	25	u	u	NOUN
fis-3194	149	26	(	(	PUNCT
fis-3194	149	27	9	9	NUM
fis-3194	149	28	)	)	PUNCT
fis-3194	149	29	(	(	PUNCT
fis-3194	149	30	)	)	PUNCT
fis-3194	149	31			PROPN
fis-3194	149	32			PROPN
fis-3194	149	33			PROPN
fis-3194	149	34			PROPN
fis-3194	149	35	−=	−=	VERB
fis-3194	150	1	+	+	NOUN
fis-3194	150	2			NOUN
fis-3194	150	3			NOUN
fis-3194	150	4	*	*	PUNCT
fis-3194	150	5	ij	ij	INTJ
fis-3194	151	1	ijij	ijij	ADJ
fis-3194	151	2	ij	ij	INTJ
fis-3194	151	3	ij	ij	INTJ
fis-3194	151	4	v	v	DET
fis-3194	151	5	v	v	NUM
fis-3194	151	6	1	1	NUM
fis-3194	151	7	1	1	NUM
fis-3194	151	8	dv	dv	PROPN
fis-3194	151	9	dv	dv	PROPN
fis-3194	151	10	2	2	NUM
fis-3194	151	11	2	2	NUM
fis-3194	151	12	u	u	NOUN
fis-3194	151	13	(	(	PUNCT
fis-3194	151	14	10	10	NUM
fis-3194	151	15	)	)	PUNCT
fis-3194	151	16	with	with	ADP
fis-3194	151	17	:	:	PUNCT
fis-3194	151	18			PROPN
fis-3194	151	19	ij	ij	NOUN
fis-3194	151	20	:	:	PUNCT
fis-3194	151	21	the	the	DET
fis-3194	151	22	strain	strain	NOUN
fis-3194	151	23	tensor	tensor	NOUN
fis-3194	151	24	.	.	PUNCT
fis-3194	152	1	from	from	ADP
fis-3194	152	2	eqn	eqn	PROPN
fis-3194	152	3	.	.	PUNCT
fis-3194	152	4	7	7	NUM
fis-3194	152	5	and	and	CCONJ
fis-3194	152	6	eqn	eqn	NOUN
fis-3194	152	7	.	.	PROPN
fis-3194	152	8	10	10	NUM
fis-3194	152	9	,	,	PUNCT
fis-3194	152	10	we	we	PRON
fis-3194	152	11	can	can	AUX
fis-3194	152	12	therefore	therefore	ADV
fis-3194	152	13	write	write	VERB
fis-3194	152	14	the	the	DET
fis-3194	152	15	energy	energy	NOUN
fis-3194	152	16	difference	difference	NOUN
fis-3194	152	17	,	,	PUNCT
fis-3194	152	18	as	as	SCONJ
fis-3194	152	19	follows	follow	VERB
fis-3194	152	20	:	:	PUNCT
fis-3194	152	21	(	(	PUNCT
fis-3194	152	22	)	)	PUNCT
fis-3194	152	23	(	(	PUNCT
fis-3194	152	24	)	)	PUNCT
fis-3194	152	25	(	(	PUNCT
fis-3194	152	26	)	)	PUNCT
fis-3194	152	27			NOUN
fis-3194	152	28			NUM
fis-3194	152	29			X
fis-3194	152	30			NOUN
fis-3194	152	31	−	−	SYM
fis-3194	152	32	=	=	SYM
fis-3194	152	33			NOUN
fis-3194	152	34			X
fis-3194	152	35			ADJ
fis-3194	152	36			NOUN
fis-3194	152	37			PROPN
fis-3194	152	38	−	−	PROPN
fis-3194	152	39	−	−	PROPN
fis-3194	152	40	iij	iij	PROPN
fis-3194	152	41	iij	iij	PROPN
fis-3194	152	42	*	*	PROPN
fis-3194	152	43	ii	ii	PROPN
fis-3194	152	44	v	v	ADP
fis-3194	152	45	1	1	NUM
fis-3194	152	46	+	+	CCONJ
fis-3194	152	47	dv	dv	PROPN
fis-3194	152	48	2	2	PROPN
fis-3194	152	49	j	j	PROPN
fis-3194	152	50	j	j	PROPN
fis-3194	152	51	u	u	PROPN
fis-3194	152	52	u	u	X
fis-3194	152	53	u	u	NOUN
fis-3194	152	54	uu	uu	PRON
fis-3194	152	55	u	u	NOUN
fis-3194	152	56	x	x	X
fis-3194	152	57	x	x	X
fis-3194	152	58	(	(	PUNCT
fis-3194	152	59	11	11	NUM
fis-3194	152	60	)	)	PUNCT
fis-3194	152	61	with	with	ADP
fis-3194	152	62	:	:	PUNCT
fis-3194	152	63	iu	iu	ADP
fis-3194	152	64	:	:	PUNCT
fis-3194	152	65	the	the	DET
fis-3194	152	66	ith	ith	PROPN
fis-3194	152	67	average	average	ADJ
fis-3194	152	68	displacement	displacement	NOUN
fis-3194	152	69	.	.	PUNCT
fis-3194	153	1	and	and	CCONJ
fis-3194	153	2	using	use	VERB
fis-3194	153	3	the	the	DET
fis-3194	153	4	equilibrium	equilibrium	NOUN
fis-3194	153	5	equation	equation	NOUN
fis-3194	153	6	:	:	PUNCT
fis-3194	153	7			PROPN
fis-3194	153	8			ADJ
fis-3194	153	9			NOUN
fis-3194	153	10	=	=	SYM
fis-3194	153	11	ij	ij	X
fis-3194	153	12	0	0	NUM
fis-3194	153	13	jx	jx	PROPN
fis-3194	153	14	(	(	PUNCT
fis-3194	153	15	12	12	NUM
fis-3194	153	16	)	)	PUNCT
fis-3194	153	17	by	by	ADP
fis-3194	153	18	replacing	replace	VERB
fis-3194	153	19	eqn	eqn	NOUN
fis-3194	153	20	.	.	PUNCT
fis-3194	154	1	12	12	NUM
fis-3194	154	2	with	with	ADP
fis-3194	154	3	eqn	eqn	NOUN
fis-3194	154	4	.	.	PUNCT
fis-3194	155	1	11	11	NUM
fis-3194	155	2	,	,	PUNCT
fis-3194	155	3	we	we	PRON
fis-3194	155	4	obtain	obtain	VERB
fis-3194	155	5	:	:	PUNCT
fis-3194	155	6	(	(	PUNCT
fis-3194	155	7	)	)	PUNCT
fis-3194	155	8	(	(	PUNCT
fis-3194	155	9	)	)	PUNCT
fis-3194	155	10			PROPN
fis-3194	156	1	−	−	NOUN
fis-3194	156	2	=	=	SYM
fis-3194	156	3			ADJ
fis-3194	156	4			ADJ
fis-3194	156	5	−	−	PROPN
fis-3194	156	6			PUNCT
fis-3194	157	1	iij	iij	PROPN
fis-3194	158	1	i	i	PRON
fis-3194	158	2	*	*	NOUN
fis-3194	158	3	v	v	NUM
fis-3194	158	4	1	1	NUM
fis-3194	158	5	dv	dv	PROPN
fis-3194	158	6	2	2	NUM
fis-3194	158	7	j	j	PROPN
fis-3194	158	8	u	u	NOUN
fis-3194	158	9	x	x	X
fis-3194	158	10	u	u	VERB
fis-3194	158	11	u	u	X
fis-3194	158	12	u	u	NOUN
fis-3194	158	13	(	(	PUNCT
fis-3194	158	14	13	13	NUM
fis-3194	158	15	)	)	PUNCT
fis-3194	158	16	using	use	VERB
fis-3194	158	17	gauss	gauss	PROPN
fis-3194	158	18	's	's	PART
fis-3194	158	19	theorem	theorem	NOUN
fis-3194	158	20	,	,	PUNCT
fis-3194	158	21	we	we	PRON
fis-3194	158	22	can	can	AUX
fis-3194	158	23	transform	transform	VERB
fis-3194	158	24	the	the	DET
fis-3194	158	25	integration	integration	NOUN
fis-3194	158	26	on	on	ADP
fis-3194	158	27	the	the	DET
fis-3194	158	28	volume	volume	NOUN
fis-3194	158	29	into	into	ADP
fis-3194	158	30	the	the	DET
fis-3194	158	31	integration	integration	NOUN
fis-3194	158	32	on	on	ADP
fis-3194	158	33	the	the	DET
fis-3194	158	34	surface	surface	NOUN
fis-3194	158	35	,	,	PUNCT
fis-3194	158	36	as	as	SCONJ
fis-3194	158	37	follows	follow	VERB
fis-3194	158	38	:	:	PUNCT
fis-3194	158	39	(	(	PUNCT
fis-3194	158	40	)	)	PUNCT
fis-3194	158	41			PROPN
fis-3194	158	42	−−	−−	NOUN
fis-3194	158	43	=	=	X
fis-3194	158	44			PUNCT
fis-3194	158	45	*	*	PUNCT
fis-3194	159	1	iij	iij	INTJ
fis-3194	160	1	i	i	PRON
fis-3194	160	2	j	j	PROPN
fis-3194	160	3	s	s	PART
fis-3194	160	4	1	1	NUM
fis-3194	160	5	d	d	SYM
fis-3194	160	6	2	2	NUM
fis-3194	160	7	j	j	PROPN
fis-3194	160	8	juu	juu	PROPN
fis-3194	160	9	suu	suu	PROPN
fis-3194	160	10	(	(	PUNCT
fis-3194	160	11	14	14	NUM
fis-3194	160	12	)	)	PUNCT
fis-3194	160	13	then	then	ADV
fis-3194	160	14	,	,	PUNCT
fis-3194	160	15	at	at	ADP
fis-3194	160	16	the	the	DET
fis-3194	160	17	level	level	NOUN
fis-3194	160	18	of	of	ADP
fis-3194	160	19	the	the	DET
fis-3194	160	20	surface	surface	NOUN
fis-3194	160	21	js	js	ADV
fis-3194	160	22	,	,	PUNCT
fis-3194	160	23	we	we	PRON
fis-3194	160	24	have	have	VERB
fis-3194	160	25	:	:	PUNCT
fis-3194	160	26	=	=	SYM
fis-3194	160	27	iiu	iiu	PROPN
fis-3194	160	28	u	u	NOUN
fis-3194	160	29	(	(	PUNCT
fis-3194	160	30	15	15	NUM
fis-3194	160	31	)	)	PUNCT
fis-3194	160	32	we	we	PRON
fis-3194	160	33	can	can	AUX
fis-3194	160	34	conclude	conclude	VERB
fis-3194	160	35	that	that	PRON
fis-3194	160	36	:	:	PUNCT
fis-3194	160	37	−	−	PROPN
fis-3194	161	1	=	=	SYM
fis-3194	161	2	*	*	PUNCT
fis-3194	161	3	0u	0u	ADJ
fis-3194	161	4	u	u	NOUN
fis-3194	161	5	(	(	PUNCT
fis-3194	161	6	16	16	NUM
fis-3194	161	7	)	)	PUNCT
fis-3194	161	8	the	the	DET
fis-3194	161	9	above	above	ADJ
fis-3194	161	10	derivation	derivation	NOUN
fis-3194	161	11	shows	show	VERB
fis-3194	161	12	that	that	SCONJ
fis-3194	161	13	the	the	DET
fis-3194	161	14	homogenization	homogenization	NOUN
fis-3194	161	15	,	,	PUNCT
fis-3194	161	16	we	we	PRON
fis-3194	161	17	have	have	AUX
fis-3194	161	18	used	use	VERB
fis-3194	161	19	ensures	ensure	VERB
fis-3194	161	20	the	the	DET
fis-3194	161	21	equivalence	equivalence	NOUN
fis-3194	161	22	between	between	ADP
fis-3194	161	23	the	the	DET
fis-3194	161	24	heterogeneous	heterogeneous	ADJ
fis-3194	161	25	and	and	CCONJ
fis-3194	161	26	homogenized	homogenized	ADJ
fis-3194	161	27	rve	rve	PROPN
fis-3194	161	28	.	.	PUNCT
fis-3194	161	29	to	to	PART
fis-3194	161	30	apply	apply	VERB
fis-3194	161	31	the	the	DET
fis-3194	161	32	periodic	periodic	ADJ
fis-3194	161	33	boundary	boundary	ADJ
fis-3194	161	34	conditions	condition	NOUN
fis-3194	161	35	at	at	ADP
fis-3194	161	36	the	the	DET
fis-3194	161	37	micro	micro	ADJ
fis-3194	161	38	scale	scale	NOUN
fis-3194	161	39	,	,	PUNCT
fis-3194	161	40	there	there	PRON
fis-3194	161	41	are	be	VERB
fis-3194	161	42	three	three	NUM
fis-3194	161	43	types	type	NOUN
fis-3194	161	44	of	of	ADP
fis-3194	161	45	set	set	NOUN
fis-3194	161	46	of	of	ADP
fis-3194	161	47	nodes	node	NOUN
fis-3194	161	48	:	:	PUNCT
fis-3194	161	49	faces	face	NOUN
fis-3194	161	50	,	,	PUNCT
fis-3194	161	51	edges	edge	NOUN
fis-3194	161	52	and	and	CCONJ
fis-3194	161	53	corners	corner	NOUN
fis-3194	161	54	in	in	ADP
fis-3194	161	55	the	the	DET
fis-3194	161	56	rve	rve	PROPN
fis-3194	161	57	having	having	AUX
fis-3194	161	58	been	be	AUX
fis-3194	161	59	modeled	model	VERB
fis-3194	161	60	in	in	ADP
fis-3194	161	61	the	the	DET
fis-3194	161	62	form	form	NOUN
fis-3194	161	63	of	of	ADP
fis-3194	161	64	a	a	DET
fis-3194	161	65	parallelepiped	parallelepiped	NOUN
fis-3194	161	66	in	in	ADP
fis-3194	161	67	3d	3d	NUM
fis-3194	161	68	.	.	PUNCT
fis-3194	162	1	the	the	DET
fis-3194	162	2	regions	region	NOUN
fis-3194	162	3	on	on	ADP
fis-3194	162	4	the	the	DET
fis-3194	162	5	boundaries	boundary	NOUN
fis-3194	162	6	of	of	ADP
fis-3194	162	7	the	the	DET
fis-3194	162	8	rve	rve	PROPN
fis-3194	162	9	are	be	AUX
fis-3194	162	10	selected	select	VERB
fis-3194	162	11	and	and	CCONJ
fis-3194	162	12	numbered	number	VERB
fis-3194	162	13	as	as	SCONJ
fis-3194	162	14	shown	show	VERB
fis-3194	162	15	in	in	ADP
fis-3194	162	16	fig	fig	NOUN
fis-3194	162	17	.	.	PUNCT
fis-3194	163	1	2	2	X
fis-3194	163	2	.	.	X
fis-3194	163	3	additional	additional	ADJ
fis-3194	163	4	equations	equation	NOUN
fis-3194	163	5	should	should	AUX
fis-3194	163	6	be	be	AUX
fis-3194	163	7	introduced	introduce	VERB
fis-3194	163	8	for	for	ADP
fis-3194	163	9	periodic	periodic	ADJ
fis-3194	163	10	boundary	boundary	ADJ
fis-3194	163	11	conditions	condition	NOUN
fis-3194	163	12	at	at	ADP
fis-3194	163	13	the	the	DET
fis-3194	163	14	micro	micro	ADJ
fis-3194	163	15	scale	scale	NOUN
fis-3194	163	16	,	,	PUNCT
fis-3194	163	17	where	where	SCONJ
fis-3194	163	18	the	the	DET
fis-3194	163	19	macroscopic	macroscopic	ADJ
fis-3194	163	20	strain	strain	NOUN
fis-3194	163	21	matrix	matrix	NOUN
fis-3194	163	22	has	have	VERB
fis-3194	163	23	components	component	NOUN
fis-3194	163	24			PROPN
fis-3194	163	25	=	=	NOUN
fis-3194	163	26	ij	ij	NOUN
fis-3194	163	27	with	with	ADP
fis-3194	163	28	i	i	PRON
fis-3194	163	29	,	,	PUNCT
fis-3194	163	30	j	j	PROPN
fis-3194	164	1	=	=	SYM
fis-3194	164	2	x	x	PROPN
fis-3194	164	3	,	,	PUNCT
fis-3194	164	4	y	y	PROPN
fis-3194	164	5	,	,	PUNCT
fis-3194	164	6	z.	z.	PROPN
fis-3194	165	1	in	in	ADP
fis-3194	165	2	order	order	NOUN
fis-3194	165	3	to	to	PART
fis-3194	165	4	include	include	VERB
fis-3194	165	5	the	the	DET
fis-3194	165	6	macroscopic	macroscopic	ADJ
fis-3194	165	7	deformation	deformation	NOUN
fis-3194	165	8	of	of	ADP
fis-3194	165	9	component	component	NOUN
fis-3194	165	10	k.	k.	PROPN
fis-3194	165	11	benyahi	benyahi	PROPN
fis-3194	165	12	et	et	PROPN
fis-3194	165	13	alii	alii	PROPN
fis-3194	165	14	,	,	PUNCT
fis-3194	165	15	frattura	frattura	PROPN
fis-3194	165	16	ed	ed	PROPN
fis-3194	165	17	integrità	integrità	PROPN
fis-3194	165	18	strutturale	strutturale	PROPN
fis-3194	165	19	,	,	PUNCT
fis-3194	165	20	58	58	NUM
fis-3194	165	21	(	(	PUNCT
fis-3194	165	22	2021	2021	NUM
fis-3194	165	23	)	)	PUNCT
fis-3194	165	24	319	319	NUM
fis-3194	165	25	-	-	SYM
fis-3194	165	26	343	343	NUM
fis-3194	165	27	;	;	PUNCT
fis-3194	165	28	doi	doi	NOUN
fis-3194	165	29	:	:	PUNCT
fis-3194	165	30	10.3221	10.3221	NUM
fis-3194	165	31	/	/	SYM
fis-3194	165	32	igf	igf	PROPN
fis-3194	165	33	-	-	PUNCT
fis-3194	165	34	esis.58.24	esis.58.24	ADJ
fis-3194	165	35	324	324	NUM
fis-3194	165	36			PROPN
fis-3194	165	37	ij	ij	NOUN
fis-3194	165	38	,	,	PUNCT
fis-3194	165	39	it	it	PRON
fis-3194	165	40	is	be	AUX
fis-3194	165	41	necessary	necessary	ADJ
fis-3194	165	42	to	to	PART
fis-3194	165	43	create	create	VERB
fis-3194	165	44	six	six	NUM
fis-3194	165	45	reference	reference	NOUN
fis-3194	165	46	points	point	NOUN
fis-3194	165	47	(	(	PUNCT
fis-3194	165	48	pr-1	pr-1	NOUN
fis-3194	165	49	,	,	PUNCT
fis-3194	165	50	pr-2	pr-2	PRON
fis-3194	165	51	,	,	PUNCT
fis-3194	165	52	pr-3	pr-3	X
fis-3194	165	53	,	,	PUNCT
fis-3194	165	54	pr-4	pr-4	ADV
fis-3194	165	55	,	,	PUNCT
fis-3194	165	56	pr-5	pr-5	NUM
fis-3194	165	57	,	,	PUNCT
fis-3194	165	58	pr-6	pr-6	NUM
fis-3194	165	59	)	)	PUNCT
fis-3194	165	60	.	.	PUNCT
fis-3194	166	1	where	where	SCONJ
fis-3194	166	2	their	their	PRON
fis-3194	166	3	degree	degree	NOUN
fis-3194	166	4	of	of	ADP
fis-3194	166	5	freedom	freedom	NOUN
fis-3194	166	6	of	of	ADP
fis-3194	166	7	displacement	displacement	NOUN
fis-3194	166	8	has	have	VERB
fis-3194	166	9	a	a	DET
fis-3194	166	10	relation	relation	NOUN
fis-3194	166	11	with	with	ADP
fis-3194	166	12			PROPN
fis-3194	166	13			PROPN
fis-3194	166	14			PROPN
fis-3194	166	15			PROPN
fis-3194	166	16			PROPN
fis-3194	166	17	x	x	NOUN
fis-3194	166	18	xy	xy	PROPN
fis-3194	167	1	xz	xz	PROPN
fis-3194	168	1	y	y	PROPN
fis-3194	168	2	yz	yz	PROPN
fis-3194	168	3	z	z	PROPN
fis-3194	168	4	,	,	PUNCT
fis-3194	168	5	,	,	PUNCT
fis-3194	168	6	,	,	PUNCT
fis-3194	168	7	,	,	PUNCT
fis-3194	168	8	,	,	PUNCT
fis-3194	168	9	respectively	respectively	ADV
fis-3194	168	10	as	as	SCONJ
fis-3194	168	11	follows	follow	VERB
fis-3194	168	12	:	:	PUNCT
fis-3194	168	13			PROPN
fis-3194	168	14			PROPN
fis-3194	168	15			PROPN
fis-3194	168	16			PROPN
fis-3194	168	17			PROPN
fis-3194	168	18	−	−	VERB
fis-3194	168	19	−	−	NOUN
fis-3194	169	1	−	−	NOUN
fis-3194	169	2	−	−	PROPN
fis-3194	169	3	−	−	PROPN
fis-3194	169	4	−=	−=	NOUN
fis-3194	169	5	=	=	NOUN
fis-3194	170	1	=	=	PUNCT
fis-3194	170	2	=	=	PUNCT
fis-3194	170	3	=	=	PUNCT
fis-3194	171	1	=	=	SYM
fis-3194	171	2	1	1	NUM
fis-3194	171	3	1	1	NUM
fis-3194	171	4	1	1	NUM
fis-3194	171	5	1	1	NUM
fis-3194	171	6	1	1	NUM
fis-3194	171	7	1	1	NUM
fis-3194	171	8	x	x	SYM
fis-3194	171	9	xy	xy	PROPN
fis-3194	171	10	xz	xz	PROPN
fis-3194	171	11	y	y	PROPN
fis-3194	171	12	yz	yz	PROPN
fis-3194	172	1	z	z	PROPN
fis-3194	172	2	(	(	PUNCT
fis-3194	172	3	1	1	NUM
fis-3194	172	4	)	)	PUNCT
fis-3194	172	5	(	(	PUNCT
fis-3194	172	6	2	2	X
fis-3194	172	7	)	)	PUNCT
fis-3194	172	8	(	(	PUNCT
fis-3194	172	9	3	3	X
fis-3194	172	10	)	)	PUNCT
fis-3194	172	11	(	(	PUNCT
fis-3194	172	12	4	4	NUM
fis-3194	172	13	)	)	PUNCT
fis-3194	172	14	(	(	PUNCT
fis-3194	172	15	5	5	NUM
fis-3194	172	16	)	)	PUNCT
fis-3194	172	17	(	(	PUNCT
fis-3194	172	18	6	6	NUM
fis-3194	172	19	)	)	PUNCT
fis-3194	172	20	;	;	PUNCT
fis-3194	172	21	;	;	PUNCT
fis-3194	172	22	;	;	PUNCT
fis-3194	172	23	;	;	PUNCT
fis-3194	172	24	;	;	PUNCT
fis-3194	172	25	pr	pr	NOUN
fis-3194	172	26	pr	pr	NOUN
fis-3194	172	27	pr	pr	INTJ
fis-3194	172	28	pr	pr	NOUN
fis-3194	172	29	pr	pr	VERB
fis-3194	172	30	pru	pru	PROPN
fis-3194	172	31	u	u	PROPN
fis-3194	172	32	u	u	PROPN
fis-3194	172	33	u	u	X
fis-3194	172	34	u	u	NOUN
fis-3194	172	35	u	u	NOUN
fis-3194	172	36	(	(	PUNCT
fis-3194	172	37	17	17	NUM
fis-3194	172	38	)	)	PUNCT
fis-3194	172	39	figure	figure	NOUN
fis-3194	172	40	2	2	NUM
fis-3194	172	41	:	:	PUNCT
fis-3194	172	42	representation	representation	NOUN
fis-3194	172	43	and	and	CCONJ
fis-3194	172	44	periodic	periodic	ADJ
fis-3194	172	45	boundary	boundary	ADJ
fis-3194	172	46	conditions	condition	NOUN
fis-3194	172	47	of	of	ADP
fis-3194	172	48	an	an	DET
fis-3194	172	49	rve	rve	NOUN
fis-3194	172	50	.	.	PUNCT
fis-3194	173	1	we	we	PRON
fis-3194	173	2	create	create	VERB
fis-3194	173	3	the	the	DET
fis-3194	173	4	additional	additional	ADJ
fis-3194	173	5	equations	equation	NOUN
fis-3194	173	6	of	of	ADP
fis-3194	173	7	all	all	DET
fis-3194	173	8	faces	face	NOUN
fis-3194	173	9	,	,	PUNCT
fis-3194	173	10	edges	edge	NOUN
fis-3194	173	11	and	and	CCONJ
fis-3194	173	12	corners	corner	NOUN
fis-3194	173	13	with	with	ADP
fis-3194	173	14	the	the	DET
fis-3194	173	15	python	python	PROPN
fis-3194	173	16	command	command	NOUN
fis-3194	173	17	in	in	ADP
fis-3194	173	18	order	order	NOUN
fis-3194	173	19	to	to	PART
fis-3194	173	20	apply	apply	VERB
fis-3194	173	21	the	the	DET
fis-3194	173	22	periodic	periodic	ADJ
fis-3194	173	23	boundary	boundary	ADJ
fis-3194	173	24	conditions	condition	NOUN
fis-3194	173	25	in	in	ADP
fis-3194	173	26	the	the	DET
fis-3194	173	27	abaqus	abaqus	PROPN
fis-3194	173	28	calculation	calculation	NOUN
fis-3194	173	29	code	code	PROPN
fis-3194	173	30	.	.	PUNCT
fis-3194	174	1	and	and	CCONJ
fis-3194	174	2	we	we	PRON
fis-3194	174	3	apply	apply	VERB
fis-3194	174	4	these	these	DET
fis-3194	174	5	periodic	periodic	ADJ
fis-3194	174	6	boundary	boundary	ADJ
fis-3194	174	7	conditions	condition	NOUN
fis-3194	174	8	at	at	ADP
fis-3194	174	9	the	the	DET
fis-3194	174	10	micro	micro	ADJ
fis-3194	174	11	scale	scale	NOUN
fis-3194	174	12	.	.	PUNCT
fis-3194	175	1	finally	finally	ADV
fis-3194	175	2	,	,	PUNCT
fis-3194	175	3	to	to	PART
fis-3194	175	4	solve	solve	VERB
fis-3194	175	5	the	the	DET
fis-3194	175	6	homogenization	homogenization	NOUN
fis-3194	175	7	equations	equation	NOUN
fis-3194	175	8	,	,	PUNCT
fis-3194	175	9	we	we	PRON
fis-3194	175	10	use	use	VERB
fis-3194	175	11	the	the	DET
fis-3194	175	12	finite	finite	ADJ
fis-3194	175	13	element	element	NOUN
fis-3194	175	14	method	method	NOUN
fis-3194	175	15	.	.	PUNCT
fis-3194	176	1	equations	equation	NOUN
fis-3194	176	2	for	for	ADP
fis-3194	176	3	applying	apply	VERB
fis-3194	176	4	periodic	periodic	ADJ
fis-3194	176	5	boundary	boundary	ADJ
fis-3194	176	6	conditions	condition	NOUN
fis-3194	176	7	at	at	ADP
fis-3194	176	8	the	the	DET
fis-3194	176	9	corners	corner	NOUN
fis-3194	176	10	:	:	PUNCT
fis-3194	176	11			PROPN
fis-3194	176	12			PROPN
fis-3194	176	13			PROPN
fis-3194	176	14			PROPN
fis-3194	176	15			PROPN
fis-3194	176	16			PROPN
fis-3194	176	17			PROPN
fis-3194	176	18			PROPN
fis-3194	176	19			PROPN
fis-3194	176	20			PROPN
fis-3194	176	21			PROPN
fis-3194	176	22			NOUN
fis-3194	176	23			ADP
fis-3194	176	24			NUM
fis-3194	176	25			NUM
fis-3194	176	26			NUM
fis-3194	176	27			NUM
fis-3194	176	28			NUM
fis-3194	176	29			PROPN
fis-3194	176	30	x	x	PROPN
fis-3194	176	31	yz	yz	PROPN
fis-3194	176	32	xzg	xzg	PROPN
fis-3194	176	33	a	a	PRON
fis-3194	176	34	x	x	X
fis-3194	176	35	yz	yz	NUM
fis-3194	176	36	yxc	yxc	NOUN
fis-3194	176	37	e	e	NOUN
fis-3194	176	38	x	x	X
fis-3194	176	39	yz	yz	X
fis-3194	176	40	xzd	xzd	X
fis-3194	177	1	f	f	X
fis-3194	177	2	x	x	X
fis-3194	177	3	yz	yz	PUNCT
fis-3194	177	4	yxh	yxh	PROPN
fis-3194	177	5	b	b	PUNCT
fis-3194	177	6	u	u	NOUN
fis-3194	177	7	-u	-u	PROPN
fis-3194	177	8	=	=	PUNCT
fis-3194	178	1	+	+	PUNCT
fis-3194	178	2	+	+	NUM
fis-3194	178	3	u	u	NOUN
fis-3194	178	4	-u	-u	PROPN
fis-3194	178	5	=	=	PUNCT
fis-3194	179	1	+	+	NUM
fis-3194	179	2	  	  	SPACE
fis-3194	179	3	u	u	NOUN
fis-3194	179	4	-u	-u	PROPN
fis-3194	179	5	=	=	PUNCT
fis-3194	179	6	u	u	NOUN
fis-3194	179	7	-u	-u	PROPN
fis-3194	179	8	=	=	PUNCT
fis-3194	179	9	+	+	CCONJ
fis-3194	179	10	(	(	PUNCT
fis-3194	179	11	18	18	NUM
fis-3194	179	12	)	)	PUNCT
fis-3194	179	13	equations	equation	NOUN
fis-3194	179	14	for	for	ADP
fis-3194	179	15	applying	apply	VERB
fis-3194	179	16	periodic	periodic	ADJ
fis-3194	179	17	boundary	boundary	ADJ
fis-3194	179	18	conditions	condition	NOUN
fis-3194	179	19	at	at	ADP
fis-3194	179	20	the	the	DET
fis-3194	179	21	faces	face	NOUN
fis-3194	179	22	:	:	PUNCT
fis-3194	179	23			NOUN
fis-3194	179	24			NUM
fis-3194	179	25			NUM
fis-3194	179	26			NUM
fis-3194	179	27			PROPN
fis-3194	179	28	xbcgf	xbcgf	PROPN
fis-3194	180	1	adhe	adhe	PROPN
fis-3194	180	2	fehg	fehg	PROPN
fis-3194	180	3	badc	badc	PROPN
fis-3194	180	4	cdhg	cdhg	PROPN
fis-3194	180	5	baef	baef	PROPN
fis-3194	180	6	u	u	NOUN
fis-3194	180	7	-u	-u	PROPN
fis-3194	180	8	=	=	SYM
fis-3194	180	9	u	u	NOUN
fis-3194	180	10	-u	-u	PROPN
fis-3194	180	11	=	=	NOUN
fis-3194	180	12	0	0	NUM
fis-3194	180	13	u	u	NOUN
fis-3194	180	14	-u	-u	PROPN
fis-3194	180	15	=	=	NOUN
fis-3194	180	16	0	0	NUM
fis-3194	180	17	(	(	PUNCT
fis-3194	180	18	19	19	NUM
fis-3194	180	19	)	)	PUNCT
fis-3194	180	20	equations	equation	NOUN
fis-3194	180	21	for	for	ADP
fis-3194	180	22	applying	apply	VERB
fis-3194	180	23	periodic	periodic	ADJ
fis-3194	180	24	boundary	boundary	ADJ
fis-3194	180	25	conditions	condition	NOUN
fis-3194	180	26	at	at	ADP
fis-3194	180	27	the	the	DET
fis-3194	180	28	edges	edge	NOUN
fis-3194	180	29	:	:	PUNCT
fis-3194	180	30			PROPN
fis-3194	180	31			PROPN
fis-3194	180	32			PROPN
fis-3194	180	33			PROPN
fis-3194	180	34			PROPN
fis-3194	180	35			PROPN
fis-3194	180	36			PROPN
fis-3194	180	37			PROPN
fis-3194	180	38			PROPN
fis-3194	180	39			PROPN
fis-3194	180	40			PROPN
fis-3194	180	41			NOUN
fis-3194	180	42			ADP
fis-3194	180	43			NUM
fis-3194	180	44			NUM
fis-3194	180	45			NUM
fis-3194	180	46			NUM
fis-3194	180	47			NUM
fis-3194	180	48			NUM
fis-3194	180	49			NUM
fis-3194	180	50			NUM
fis-3194	180	51			NUM
fis-3194	180	52			PROPN
fis-3194	180	53	x	x	PROPN
fis-3194	180	54	xzfg	xzfg	X
fis-3194	180	55	ad	ad	PROPN
fis-3194	180	56	x	x	PROPN
fis-3194	180	57	xzhe	xzhe	PROPN
fis-3194	180	58	cb	cb	PROPN
fis-3194	180	59	yx	yx	PROPN
fis-3194	180	60	yzcg	yzcg	PROPN
fis-3194	180	61	ae	ae	PROPN
fis-3194	180	62	yx	yx	PROPN
fis-3194	180	63	yzdh	yzdh	PROPN
fis-3194	180	64	bf	bf	PROPN
fis-3194	180	65	yx	yx	PROPN
fis-3194	180	66	yzef	yzef	PROPN
fis-3194	180	67	dc	dc	PROPN
fis-3194	180	68	yxhg	yxhg	NOUN
fis-3194	180	69	ab	ab	PROPN
fis-3194	180	70	yz	yz	PROPN
fis-3194	180	71	u	u	PROPN
fis-3194	180	72	-u	-u	PROPN
fis-3194	180	73	=	=	PUNCT
fis-3194	181	1	+	+	NUM
fis-3194	181	2	u	u	NOUN
fis-3194	181	3	-u	-u	PROPN
fis-3194	181	4	=	=	PUNCT
fis-3194	181	5	u	u	NOUN
fis-3194	181	6	-u	-u	PROPN
fis-3194	181	7	=	=	PUNCT
fis-3194	182	1	+	+	NUM
fis-3194	182	2	u	u	NOUN
fis-3194	182	3	-u	-u	PROPN
fis-3194	182	4	=	=	PUNCT
fis-3194	182	5	u	u	NOUN
fis-3194	182	6	-u	-u	PROPN
fis-3194	182	7	=	=	PUNCT
fis-3194	183	1	+	+	NUM
fis-3194	183	2	u	u	NOUN
fis-3194	183	3	-u	-u	PROPN
fis-3194	183	4	=	=	X
fis-3194	183	5	(	(	PUNCT
fis-3194	183	6	20	20	NUM
fis-3194	183	7	)	)	PUNCT
fis-3194	183	8	k.	k.	PROPN
fis-3194	184	1	benyahi	benyahi	PROPN
fis-3194	184	2	et	et	PROPN
fis-3194	184	3	alii	alii	PROPN
fis-3194	184	4	,	,	PUNCT
fis-3194	184	5	frattura	frattura	PROPN
fis-3194	184	6	ed	ed	PROPN
fis-3194	184	7	integrità	integrità	PROPN
fis-3194	184	8	strutturale	strutturale	PROPN
fis-3194	184	9	,	,	PUNCT
fis-3194	184	10	58	58	NUM
fis-3194	184	11	(	(	PUNCT
fis-3194	184	12	2021	2021	NUM
fis-3194	184	13	)	)	PUNCT
fis-3194	184	14	319	319	NUM
fis-3194	184	15	-	-	SYM
fis-3194	184	16	343	343	NUM
fis-3194	184	17	;	;	PUNCT
fis-3194	184	18	doi	doi	NOUN
fis-3194	184	19	:	:	PUNCT
fis-3194	184	20	10.3221	10.3221	NUM
fis-3194	184	21	/	/	SYM
fis-3194	184	22	igf	igf	PROPN
fis-3194	184	23	-	-	PUNCT
fis-3194	184	24	esis.58.24	esis.58.24	ADJ
fis-3194	184	25	325	325	NUM
fis-3194	184	26	the	the	DET
fis-3194	184	27	mean	mean	ADJ
fis-3194	184	28	strain	strain	NOUN
fis-3194	184	29	in	in	ADP
fis-3194	184	30	eqn	eqn	NOUN
fis-3194	184	31	.	.	PUNCT
fis-3194	185	1	6	6	NUM
fis-3194	185	2	can	can	AUX
fis-3194	185	3	be	be	AUX
fis-3194	185	4	transformed	transform	VERB
fis-3194	185	5	as	as	SCONJ
fis-3194	185	6	follows	follow	VERB
fis-3194	185	7	:	:	PUNCT
fis-3194	185	8			PROPN
fis-3194	185	9	=	=	PUNCT
fis-3194	185	10	−ij	−ij	PROPN
fis-3194	185	11	(	(	PUNCT
fis-3194	185	12	)	)	PUNCT
fis-3194	185	13	1	1	NUM
fis-3194	185	14	(	(	PUNCT
fis-3194	185	15	)	)	PUNCT
fis-3194	186	1	j	j	PROPN
fis-3194	187	1	i	i	PRON
fis-3194	187	2	j	j	PROPN
fis-3194	188	1	j	j	NOUN
fis-3194	189	1	i	i	PRON
fis-3194	189	2	j	j	PROPN
fis-3194	189	3	s	s	VERB
fis-3194	189	4	u	u	NOUN
fis-3194	189	5	n	n	ADP
fis-3194	189	6	u	u	NOUN
fis-3194	189	7	n	n	CCONJ
fis-3194	189	8	ds	ds	NOUN
fis-3194	189	9	v	v	NOUN
fis-3194	189	10	(	(	PUNCT
fis-3194	189	11	21	21	NUM
fis-3194	189	12	)	)	PUNCT
fis-3194	189	13	in	in	ADP
fis-3194	189	14	order	order	NOUN
fis-3194	189	15	to	to	PART
fis-3194	189	16	evaluate	evaluate	VERB
fis-3194	189	17	the	the	DET
fis-3194	189	18	effective	effective	ADJ
fis-3194	189	19	properties	property	NOUN
fis-3194	189	20	ijc	ijc	PROPN
fis-3194	189	21	,	,	PUNCT
fis-3194	189	22	it	it	PRON
fis-3194	189	23	is	be	AUX
fis-3194	189	24	first	first	ADV
fis-3194	189	25	necessary	necessary	ADJ
fis-3194	189	26	to	to	PART
fis-3194	189	27	evaluate	evaluate	VERB
fis-3194	189	28	the	the	DET
fis-3194	189	29	mean	mean	NOUN
fis-3194	189	30	of	of	ADP
fis-3194	189	31	the	the	DET
fis-3194	189	32	stress	stress	NOUN
fis-3194	189	33	and	and	CCONJ
fis-3194	189	34	the	the	DET
fis-3194	189	35	strain	strain	NOUN
fis-3194	189	36	of	of	ADP
fis-3194	189	37	eqns	eqns	PROPN
fis-3194	189	38	.	.	PUNCT
fis-3194	190	1	5	5	NUM
fis-3194	190	2	and	and	CCONJ
fis-3194	190	3	6	6	NUM
fis-3194	190	4	respectively	respectively	ADV
fis-3194	190	5	,	,	PUNCT
fis-3194	190	6	by	by	ADP
fis-3194	190	7	the	the	DET
fis-3194	190	8	application	application	NOUN
fis-3194	190	9	of	of	ADP
fis-3194	190	10	different	different	ADJ
fis-3194	190	11	outline	outline	NOUN
fis-3194	190	12	conditions	condition	NOUN
fis-3194	190	13	.	.	PUNCT
fis-3194	191	1	then	then	ADV
fis-3194	191	2	to	to	PART
fis-3194	191	3	introduce	introduce	VERB
fis-3194	191	4	them	they	PRON
fis-3194	191	5	into	into	ADP
fis-3194	191	6	the	the	DET
fis-3194	191	7	constitutive	constitutive	ADJ
fis-3194	191	8	relation	relation	NOUN
fis-3194	191	9	as	as	SCONJ
fis-3194	191	10	follows	follow	VERB
fis-3194	191	11	:	:	PUNCT
fis-3194	191	12			PROPN
fis-3194	191	13			NOUN
fis-3194	191	14	=	=	PUNCT
fis-3194	192	1	ij	ij	INTJ
fis-3194	192	2	ij	ij	INTJ
fis-3194	192	3	ij	ij	INTJ
fis-3194	192	4	c	c	PROPN
fis-3194	192	5	(	(	PUNCT
fis-3194	192	6	22	22	NUM
fis-3194	192	7	)	)	PUNCT
fis-3194	192	8	with	with	ADP
fis-3194	192	9	:	:	PUNCT
fis-3194	192	10	ijc	ijc	PROPN
fis-3194	192	11	:	:	PUNCT
fis-3194	192	12	the	the	DET
fis-3194	192	13	stiffness	stiffness	ADJ
fis-3194	192	14	modulus	modulus	NOUN
fis-3194	192	15	corresponding	corresponding	NOUN
fis-3194	192	16	to	to	ADP
fis-3194	192	17	the	the	DET
fis-3194	192	18	application	application	NOUN
fis-3194	192	19	of	of	ADP
fis-3194	192	20	the	the	DET
fis-3194	192	21	strain	strain	NOUN
fis-3194	192	22	mode	mode	NOUN
fis-3194	192	23	.	.	PUNCT
fis-3194	193	1	from	from	ADP
fis-3194	193	2	the	the	DET
fis-3194	193	3	relation	relation	NOUN
fis-3194	193	4	between	between	ADP
fis-3194	193	5	the	the	DET
fis-3194	193	6	flexibility	flexibility	NOUN
fis-3194	193	7	matrix	matrix	NOUN
fis-3194	193	8	s	s	NOUN
fis-3194	193	9	,	,	PUNCT
fis-3194	193	10	and	and	CCONJ
fis-3194	193	11	the	the	DET
fis-3194	193	12	elastic	elastic	ADJ
fis-3194	193	13	property	property	NOUN
fis-3194	193	14	,	,	PUNCT
fis-3194	193	15	we	we	PRON
fis-3194	193	16	can	can	AUX
fis-3194	193	17	calculate	calculate	VERB
fis-3194	193	18	the	the	DET
fis-3194	193	19	effective	effective	ADJ
fis-3194	193	20	elastic	elastic	ADJ
fis-3194	193	21	properties	property	NOUN
fis-3194	193	22	from	from	ADP
fis-3194	193	23	the	the	DET
fis-3194	193	24	stiffness	stiffness	ADJ
fis-3194	193	25	matrix	matrix	NOUN
fis-3194	193	26	of	of	ADP
fis-3194	193	27	the	the	DET
fis-3194	193	28	rve	rve	PROPN
fis-3194	193	29	.	.	PUNCT
fis-3194	194	1			PROPN
fis-3194	194	2			ADP
fis-3194	194	3			PUNCT
fis-3194	194	4			ADJ
fis-3194	194	5			ADJ
fis-3194	194	6			PROPN
fis-3194	194	7			PROPN
fis-3194	194	8			PROPN
fis-3194	194	9			NOUN
fis-3194	194	10			NOUN
fis-3194	194	11			PROPN
fis-3194	194	12			NOUN
fis-3194	194	13			NOUN
fis-3194	194	14			NOUN
fis-3194	194	15			NOUN
fis-3194	194	16			NOUN
fis-3194	194	17			NOUN
fis-3194	194	18			NOUN
fis-3194	194	19			NOUN
fis-3194	194	20			NOUN
fis-3194	194	21			NOUN
fis-3194	194	22			NOUN
fis-3194	194	23			NOUN
fis-3194	194	24			NOUN
fis-3194	194	25			NOUN
fis-3194	194	26			NOUN
fis-3194	194	27			NOUN
fis-3194	194	28			NOUN
fis-3194	194	29			NOUN
fis-3194	194	30			NOUN
fis-3194	194	31			NOUN
fis-3194	194	32			NOUN
fis-3194	194	33			NOUN
fis-3194	194	34			NOUN
fis-3194	194	35			NOUN
fis-3194	194	36			NOUN
fis-3194	194	37			NOUN
fis-3194	194	38			NOUN
fis-3194	194	39			NOUN
fis-3194	194	40			NOUN
fis-3194	194	41			NOUN
fis-3194	194	42			NOUN
fis-3194	194	43			PROPN
fis-3194	194	44	3121	3121	NUM
fis-3194	194	45	3311	3311	NUM
fis-3194	194	46	22	22	NUM
fis-3194	194	47	12	12	NUM
fis-3194	194	48	32	32	NUM
fis-3194	194	49	11	11	NUM
fis-3194	194	50	22	22	NUM
fis-3194	194	51	33	33	NUM
fis-3194	194	52	13	13	NUM
fis-3194	194	53	23	23	NUM
fis-3194	194	54	33	33	NUM
fis-3194	194	55	11	11	NUM
fis-3194	194	56	22	22	NUM
fis-3194	194	57	12	12	NUM
fis-3194	194	58	13	13	NUM
fis-3194	194	59	23	23	NUM
fis-3194	194	60	1	1	NUM
fis-3194	194	61	00	00	NUM
fis-3194	194	62	0	0	NUM
fis-3194	194	63	ee	ee	PROPN
fis-3194	194	64	e	e	PROPN
fis-3194	194	65	1	1	NUM
fis-3194	194	66	0	0	NUM
fis-3194	194	67	0	0	NUM
fis-3194	194	68	0	0	NUM
fis-3194	194	69	e	e	NOUN
fis-3194	194	70	e	e	X
fis-3194	194	71	e	e	X
fis-3194	194	72	1	1	NUM
fis-3194	194	73	0	0	NUM
fis-3194	194	74	0	0	NUM
fis-3194	194	75	0	0	NUM
fis-3194	194	76	e	e	NOUN
fis-3194	194	77	e	e	X
fis-3194	194	78	es	es	X
fis-3194	194	79	=	=	SYM
fis-3194	194	80	1	1	NUM
fis-3194	194	81	00	00	NUM
fis-3194	194	82	0	0	NUM
fis-3194	194	83	0	0	NUM
fis-3194	194	84	0	0	NUM
fis-3194	194	85	g	g	NOUN
fis-3194	194	86	1	1	NUM
fis-3194	194	87	0	0	NUM
fis-3194	194	88	0	0	NUM
fis-3194	194	89	0	0	NUM
fis-3194	194	90	0	0	NUM
fis-3194	194	91	0	0	NUM
fis-3194	194	92	g	g	NOUN
fis-3194	194	93	0	0	NUM
fis-3194	194	94	0	0	NUM
fis-3194	194	95	0	0	NUM
fis-3194	194	96	0	0	NUM
fis-3194	194	97	1	1	NUM
fis-3194	194	98	0	0	NUM
fis-3194	194	99	g	g	NOUN
fis-3194	194	100	(	(	PUNCT
fis-3194	194	101	23	23	NUM
fis-3194	194	102	)	)	PUNCT
fis-3194	194	103	there	there	PRON
fis-3194	194	104	are	be	VERB
fis-3194	194	105	only	only	ADV
fis-3194	194	106	five	five	NUM
fis-3194	194	107	independent	independent	ADJ
fis-3194	194	108	material	material	NOUN
fis-3194	194	109	constants	constant	NOUN
fis-3194	194	110	(	(	PUNCT
fis-3194	194	111	)	)	PUNCT
fis-3194	194	112			NOUN
fis-3194	195	1	11	11	NOUN
fis-3194	195	2	33	33	NUM
fis-3194	195	3	12	12	NUM
fis-3194	195	4	31	31	NUM
fis-3194	195	5	32	32	NUM
fis-3194	195	6	,	,	PUNCT
fis-3194	195	7	,	,	PUNCT
fis-3194	195	8	,	,	PUNCT
fis-3194	195	9	,	,	PUNCT
fis-3194	195	10	e	e	X
fis-3194	195	11	e	e	X
fis-3194	195	12	g	g	NOUN
fis-3194	195	13	for	for	ADP
fis-3194	195	14	a	a	DET
fis-3194	195	15	transversely	transversely	ADV
fis-3194	195	16	orthotropic	orthotropic	ADJ
fis-3194	195	17	/	/	SYM
fis-3194	195	18	isotropic	isotropic	NOUN
fis-3194	195	19	material	material	NOUN
fis-3194	195	20	.	.	PUNCT
fis-3194	196	1	where	where	SCONJ
fis-3194	196	2			ADJ
fis-3194	196	3	13	13	NUM
fis-3194	196	4	depends	depend	VERB
fis-3194	196	5	on	on	ADP
fis-3194	196	6	(	(	PUNCT
fis-3194	196	7	)	)	PUNCT
fis-3194	196	8			NOUN
fis-3194	196	9	11	11	NOUN
fis-3194	196	10	33	33	NUM
fis-3194	196	11	12	12	NUM
fis-3194	196	12	31	31	NUM
fis-3194	196	13	,	,	PUNCT
fis-3194	196	14	,	,	PUNCT
fis-3194	196	15	,	,	PUNCT
fis-3194	196	16	e	e	NOUN
fis-3194	196	17	e	e	X
fis-3194	196	18	and	and	CCONJ
fis-3194	196	19	can	can	AUX
fis-3194	196	20	be	be	AUX
fis-3194	196	21	calculated	calculate	VERB
fis-3194	196	22	by	by	ADP
fis-3194	196	23	the	the	DET
fis-3194	196	24	following	follow	VERB
fis-3194	196	25	relation	relation	NOUN
fis-3194	196	26	:	:	PUNCT
fis-3194	196	27			PROPN
fis-3194	196	28	31	31	ADJ
fis-3194	196	29	13	13	NUM
fis-3194	196	30	33	33	NUM
fis-3194	196	31	11	11	NUM
fis-3194	196	32	=	=	SYM
fis-3194	196	33	e	e	X
fis-3194	196	34	e	e	X
fis-3194	196	35	(	(	PUNCT
fis-3194	196	36	24	24	NUM
fis-3194	196	37	)	)	PUNCT
fis-3194	196	38	a	a	DET
fis-3194	196	39	material	material	NOUN
fis-3194	196	40	is	be	AUX
fis-3194	196	41	isotropic	isotropic	ADJ
fis-3194	196	42	when	when	SCONJ
fis-3194	196	43	its	its	PRON
fis-3194	196	44	property	property	NOUN
fis-3194	196	45	is	be	AUX
fis-3194	196	46	the	the	DET
fis-3194	196	47	same	same	ADJ
fis-3194	196	48	in	in	ADP
fis-3194	196	49	all	all	DET
fis-3194	196	50	three	three	NUM
fis-3194	196	51	directions	direction	NOUN
fis-3194	196	52	.	.	PUNCT
fis-3194	197	1	in	in	ADP
fis-3194	197	2	this	this	DET
fis-3194	197	3	case	case	NOUN
fis-3194	197	4	,	,	PUNCT
fis-3194	197	5	(	(	PUNCT
fis-3194	197	6	)	)	PUNCT
fis-3194	197	7	=	=	SYM
fis-3194	197	8	=	=	PUNCT
fis-3194	197	9	=	=	NUM
fis-3194	197	10	11	11	NUM
fis-3194	197	11	22	22	NUM
fis-3194	197	12	33e	33e	NOUN
fis-3194	197	13	e	e	X
fis-3194	197	14	e	e	X
fis-3194	197	15	e	e	X
fis-3194	197	16	,	,	PUNCT
fis-3194	197	17	(	(	PUNCT
fis-3194	197	18	)	)	PUNCT
fis-3194	197	19			PROPN
fis-3194	197	20			INTJ
fis-3194	197	21			ADJ
fis-3194	197	22	=	=	NOUN
fis-3194	198	1	=	=	PUNCT
fis-3194	198	2	=	=	NOUN
fis-3194	198	3	12	12	NUM
fis-3194	198	4	31	31	NUM
fis-3194	198	5	32	32	NUM
fis-3194	198	6	and	and	CCONJ
fis-3194	198	7	(	(	PUNCT
fis-3194	198	8	)	)	PUNCT
fis-3194	198	9	=	=	SYM
fis-3194	198	10	=	=	PUNCT
fis-3194	199	1	=	=	NOUN
fis-3194	199	2	12	12	NUM
fis-3194	199	3	31	31	NUM
fis-3194	199	4	32	32	NUM
fis-3194	199	5	g	g	NOUN
fis-3194	199	6	g	g	PROPN
fis-3194	199	7	g	g	PROPN
fis-3194	199	8	g	g	PROPN
fis-3194	199	9	.	.	PUNCT
fis-3194	200	1	there	there	PRON
fis-3194	200	2	are	be	VERB
fis-3194	200	3	only	only	ADV
fis-3194	200	4	two	two	NUM
fis-3194	200	5	independent	independent	ADJ
fis-3194	200	6	material	material	NOUN
fis-3194	200	7	constants	constant	NOUN
fis-3194	200	8	(	(	PUNCT
fis-3194	200	9	)	)	PUNCT
fis-3194	200	10	,e	,e	NOUN
fis-3194	200	11	for	for	ADP
fis-3194	200	12	an	an	DET
fis-3194	200	13	isotropic	isotropic	ADJ
fis-3194	200	14	material	material	NOUN
fis-3194	200	15	.	.	PUNCT
fis-3194	201	1	however	however	ADV
fis-3194	201	2	,	,	PUNCT
fis-3194	201	3	anisotropic	anisotropic	NOUN
fis-3194	201	4	materials	material	NOUN
fis-3194	201	5	have	have	VERB
fis-3194	201	6	non	non	ADJ
fis-3194	201	7	-	-	ADJ
fis-3194	201	8	zero	zero	NUM
fis-3194	201	9	values	value	NOUN
fis-3194	201	10	in	in	ADP
fis-3194	201	11	the	the	DET
fis-3194	201	12	upper	upper	ADJ
fis-3194	201	13	right	right	NOUN
fis-3194	201	14	and	and	CCONJ
fis-3194	201	15	lower	low	ADJ
fis-3194	201	16	left	left	ADJ
fis-3194	201	17	parts	part	NOUN
fis-3194	201	18	of	of	ADP
fis-3194	201	19	their	their	PRON
fis-3194	201	20	flexibility	flexibility	NOUN
fis-3194	201	21	and	and	CCONJ
fis-3194	201	22	stiffness	stiffness	ADJ
fis-3194	201	23	matrices	matrix	NOUN
fis-3194	201	24	.	.	PUNCT
fis-3194	202	1	there	there	PRON
fis-3194	202	2	exists	exist	VERB
fis-3194	202	3	a	a	DET
fis-3194	202	4	relation	relation	NOUN
fis-3194	202	5	between	between	ADP
fis-3194	202	6	the	the	DET
fis-3194	202	7	components	component	NOUN
fis-3194	202	8	of	of	ADP
fis-3194	202	9	the	the	DET
fis-3194	202	10	flexibility	flexibility	NOUN
fis-3194	202	11	matrix	matrix	NOUN
fis-3194	202	12	,	,	PUNCT
fis-3194	202	13	with	with	ADP
fis-3194	202	14	the	the	DET
fis-3194	202	15	components	component	NOUN
fis-3194	202	16	of	of	ADP
fis-3194	202	17	the	the	DET
fis-3194	202	18	rigidity	rigidity	NOUN
fis-3194	202	19	matrix	matrix	NOUN
fis-3194	202	20	,	,	PUNCT
fis-3194	202	21	which	which	PRON
fis-3194	202	22	is	be	AUX
fis-3194	202	23	as	as	ADP
fis-3194	202	24	continuation	continuation	NOUN
fis-3194	202	25	:	:	PUNCT
fis-3194	202	26	(	(	PUNCT
fis-3194	202	27	)	)	PUNCT
fis-3194	202	28	(	(	PUNCT
fis-3194	202	29	)	)	PUNCT
fis-3194	202	30	2	2	NUM
fis-3194	202	31	11	11	NUM
fis-3194	202	32	33	33	NUM
fis-3194	202	33	13	13	NUM
fis-3194	202	34	11	11	NUM
fis-3194	202	35	2	2	NUM
fis-3194	202	36	2	2	NUM
fis-3194	202	37	2	2	NUM
fis-3194	202	38	2	2	NUM
fis-3194	202	39	1133	1133	NUM
fis-3194	202	40	11	11	NUM
fis-3194	202	41	11	11	NUM
fis-3194	202	42	13	13	NUM
fis-3194	202	43	12	12	NUM
fis-3194	202	44	33	33	NUM
fis-3194	202	45	12	12	NUM
fis-3194	202	46	13	13	NUM
fis-3194	202	47	c	c	NOUN
fis-3194	202	48	.c	.c	NOUN
fis-3194	203	1	-c	-c	PUNCT
fis-3194	203	2	1	1	NUM
fis-3194	203	3	s	s	NOUN
fis-3194	203	4	=	=	NOUN
fis-3194	203	5	=	=	SYM
fis-3194	203	6	ec	ec	PROPN
fis-3194	203	7	.c	.c	PUNCT
fis-3194	204	1	-2.c	-2.c	PROPN
fis-3194	204	2	.c	.c	NOUN
fis-3194	205	1	-c	-c	PRON
fis-3194	205	2	.c	.c	NOUN
fis-3194	206	1	+2.c	+2.c	X
fis-3194	206	2	.c	.c	PUNCT
fis-3194	207	1	(	(	PUNCT
fis-3194	207	2	25	25	NUM
fis-3194	207	3	)	)	PUNCT
fis-3194	207	4	k.	k.	PROPN
fis-3194	208	1	benyahi	benyahi	PROPN
fis-3194	208	2	et	et	PROPN
fis-3194	208	3	alii	alii	PROPN
fis-3194	208	4	,	,	PUNCT
fis-3194	208	5	frattura	frattura	PROPN
fis-3194	208	6	ed	ed	PROPN
fis-3194	208	7	integrità	integrità	PROPN
fis-3194	208	8	strutturale	strutturale	PROPN
fis-3194	208	9	,	,	PUNCT
fis-3194	208	10	58	58	NUM
fis-3194	208	11	(	(	PUNCT
fis-3194	208	12	2021	2021	NUM
fis-3194	208	13	)	)	PUNCT
fis-3194	208	14	319	319	NUM
fis-3194	208	15	-	-	SYM
fis-3194	208	16	343	343	NUM
fis-3194	208	17	;	;	PUNCT
fis-3194	208	18	doi	doi	NOUN
fis-3194	208	19	:	:	PUNCT
fis-3194	208	20	10.3221	10.3221	NUM
fis-3194	208	21	/	/	SYM
fis-3194	208	22	igf	igf	PROPN
fis-3194	208	23	-	-	PUNCT
fis-3194	208	24	esis.58.24	esis.58.24	ADJ
fis-3194	208	25	326	326	NUM
fis-3194	208	26	(	(	PUNCT
fis-3194	208	27	)	)	PUNCT
fis-3194	208	28	(	(	PUNCT
fis-3194	208	29	)	)	PUNCT
fis-3194	208	30			NOUN
fis-3194	209	1	2	2	NUM
fis-3194	209	2	12	12	NUM
fis-3194	209	3	33	33	NUM
fis-3194	209	4	13	13	NUM
fis-3194	209	5	21	21	NUM
fis-3194	209	6	12	12	NUM
fis-3194	209	7	2	2	NUM
fis-3194	209	8	2	2	NUM
fis-3194	209	9	2	2	NUM
fis-3194	209	10	2	2	NUM
fis-3194	209	11	2233	2233	NUM
fis-3194	209	12	11	11	NUM
fis-3194	209	13	11	11	NUM
fis-3194	209	14	13	13	NUM
fis-3194	209	15	12	12	NUM
fis-3194	209	16	33	33	NUM
fis-3194	209	17	12	12	NUM
fis-3194	209	18	13	13	NUM
fis-3194	209	19	c	c	NOUN
fis-3194	209	20	.c	.c	NOUN
fis-3194	210	1	-c	-c	X
fis-3194	210	2	s	s	NOUN
fis-3194	210	3	=	=	ADJ
fis-3194	210	4	=	=	PROPN
fis-3194	210	5	ec	ec	PROPN
fis-3194	210	6	.c	.c	PUNCT
fis-3194	211	1	-2.c	-2.c	PROPN
fis-3194	211	2	.c	.c	NOUN
fis-3194	212	1	-c	-c	PRON
fis-3194	212	2	.c	.c	NOUN
fis-3194	213	1	+2.c	+2.c	X
fis-3194	213	2	.c	.c	PUNCT
fis-3194	214	1	(	(	PUNCT
fis-3194	214	2	26	26	NUM
fis-3194	214	3	)	)	PUNCT
fis-3194	214	4	(	(	PUNCT
fis-3194	214	5	)	)	PUNCT
fis-3194	214	6	13	13	PRON
fis-3194	214	7	31	31	NUM
fis-3194	214	8	13	13	NUM
fis-3194	214	9	2	2	NUM
fis-3194	214	10	3311	3311	NUM
fis-3194	214	11	33	33	NUM
fis-3194	214	12	13	13	NUM
fis-3194	214	13	12	12	NUM
fis-3194	214	14	33	33	NUM
fis-3194	214	15	c	c	NOUN
fis-3194	214	16	s	s	NOUN
fis-3194	214	17	=	=	ADJ
fis-3194	214	18	=	=	PROPN
fis-3194	214	19	ec	ec	PROPN
fis-3194	214	20	.c	.c	PUNCT
fis-3194	215	1	-2.c	-2.c	PROPN
fis-3194	215	2	+	+	ADP
fis-3194	215	3	c	c	PROPN
fis-3194	215	4	.c	.c	NOUN
fis-3194	215	5	(	(	PUNCT
fis-3194	215	6	27	27	NUM
fis-3194	215	7	)	)	PUNCT
fis-3194	215	8	(	(	PUNCT
fis-3194	215	9	)	)	PUNCT
fis-3194	215	10	(	(	PUNCT
fis-3194	215	11	)	)	PUNCT
fis-3194	215	12	11	11	NUM
fis-3194	215	13	12	12	NUM
fis-3194	215	14	33	33	NUM
fis-3194	215	15	2	2	NUM
fis-3194	215	16	3311	3311	NUM
fis-3194	215	17	33	33	NUM
fis-3194	215	18	13	13	NUM
fis-3194	215	19	12	12	NUM
fis-3194	215	20	33	33	NUM
fis-3194	215	21	c	c	NOUN
fis-3194	216	1	+	+	NOUN
fis-3194	216	2	c	c	NOUN
fis-3194	216	3	1	1	NUM
fis-3194	216	4	s	s	PART
fis-3194	216	5	=	=	NOUN
fis-3194	216	6	=	=	SYM
fis-3194	216	7	ec	ec	PROPN
fis-3194	216	8	.c	.c	PUNCT
fis-3194	217	1	-2.c	-2.c	PROPN
fis-3194	217	2	+	+	ADP
fis-3194	217	3	c	c	PROPN
fis-3194	217	4	.c	.c	NOUN
fis-3194	217	5	(	(	PUNCT
fis-3194	217	6	28	28	NUM
fis-3194	217	7	)	)	PUNCT
fis-3194	217	8	44	44	NUM
fis-3194	217	9	44	44	NUM
fis-3194	217	10	12	12	NUM
fis-3194	217	11	1	1	NUM
fis-3194	217	12	1	1	NUM
fis-3194	217	13	s	s	NOUN
fis-3194	217	14	=	=	NOUN
fis-3194	217	15	=	=	SYM
fis-3194	217	16	c	c	PROPN
fis-3194	217	17	g	g	NOUN
fis-3194	217	18	(	(	PUNCT
fis-3194	217	19	29	29	NUM
fis-3194	217	20	)	)	PUNCT
fis-3194	217	21	55	55	NUM
fis-3194	217	22	55	55	NUM
fis-3194	217	23	13	13	NUM
fis-3194	217	24	1	1	NUM
fis-3194	217	25	1	1	NUM
fis-3194	217	26	s	s	NOUN
fis-3194	217	27	=	=	NOUN
fis-3194	217	28	=	=	SYM
fis-3194	217	29	c	c	PROPN
fis-3194	217	30	g	g	NOUN
fis-3194	217	31	(	(	PUNCT
fis-3194	217	32	30	30	NUM
fis-3194	217	33	)	)	PUNCT
fis-3194	217	34	the	the	DET
fis-3194	217	35	determination	determination	NOUN
fis-3194	217	36	of	of	ADP
fis-3194	217	37	the	the	DET
fis-3194	217	38	effective	effective	ADJ
fis-3194	217	39	elastic	elastic	ADJ
fis-3194	217	40	properties	property	NOUN
fis-3194	217	41	depends	depend	VERB
fis-3194	217	42	on	on	ADP
fis-3194	217	43	the	the	DET
fis-3194	217	44	stress	stress	NOUN
fis-3194	217	45	-	-	PUNCT
fis-3194	217	46	state	state	NOUN
fis-3194	217	47	,	,	PUNCT
fis-3194	217	48	and	and	CCONJ
fis-3194	217	49	also	also	ADV
fis-3194	217	50	on	on	ADP
fis-3194	217	51	the	the	DET
fis-3194	217	52	property	property	NOUN
fis-3194	217	53	of	of	ADP
fis-3194	217	54	the	the	DET
fis-3194	217	55	composite	composite	ADJ
fis-3194	217	56	material	material	NOUN
fis-3194	217	57	(	(	PUNCT
fis-3194	217	58	isotropic	isotropic	NOUN
fis-3194	217	59	or	or	CCONJ
fis-3194	217	60	orthotropic	orthotropic	ADJ
fis-3194	217	61	case	case	NOUN
fis-3194	217	62	)	)	PUNCT
fis-3194	217	63	of	of	ADP
fis-3194	217	64	the	the	DET
fis-3194	217	65	rve	rve	PROPN
fis-3194	217	66	.	.	PUNCT
fis-3194	218	1	for	for	ADP
fis-3194	218	2	an	an	DET
fis-3194	218	3	isotropic	isotropic	ADJ
fis-3194	218	4	case	case	NOUN
fis-3194	218	5	and	and	CCONJ
fis-3194	218	6	a	a	DET
fis-3194	218	7	uniaxial	uniaxial	ADJ
fis-3194	218	8	stress	stress	NOUN
fis-3194	218	9	-	-	PUNCT
fis-3194	218	10	state	state	NOUN
fis-3194	218	11	according	accord	VERB
fis-3194	218	12	to	to	ADP
fis-3194	218	13	the	the	DET
fis-3194	218	14	direction	direction	NOUN
fis-3194	218	15	x	x	NOUN
fis-3194	218	16	-	-	PUNCT
fis-3194	218	17	x	x	ADP
fis-3194	218	18	,	,	PUNCT
fis-3194	218	19	the	the	DET
fis-3194	218	20	effective	effective	ADJ
fis-3194	218	21	elastic	elastic	ADJ
fis-3194	218	22	properties	property	NOUN
fis-3194	218	23	are	be	AUX
fis-3194	218	24	determined	determine	VERB
fis-3194	218	25	:	:	PUNCT
fis-3194	218	26			PROPN
fis-3194	218	27			PROPN
fis-3194	218	28	eff	eff	PROPN
fis-3194	218	29	eff	eff	PROPN
fis-3194	218	30	11	11	NUM
fis-3194	218	31	11	11	NUM
fis-3194	218	32	11	11	NUM
fis-3194	218	33	e	e	X
fis-3194	218	34	=	=	NOUN
fis-3194	218	35	e	e	X
fis-3194	218	36	=	=	PUNCT
fis-3194	218	37	(	(	PUNCT
fis-3194	218	38	31	31	NUM
fis-3194	218	39	)	)	PUNCT
fis-3194	218	40			NOUN
fis-3194	218	41			PROPN
fis-3194	218	42			PROPN
fis-3194	219	1	eff	eff	PROPN
fis-3194	219	2	eff	eff	PROPN
fis-3194	219	3	eff	eff	PROPN
fis-3194	219	4	12	12	NUM
fis-3194	219	5	13	13	NUM
fis-3194	219	6	+	+	CCONJ
fis-3194	219	7	=	=	SYM
fis-3194	219	8	2	2	NUM
fis-3194	219	9	(	(	PUNCT
fis-3194	219	10	32	32	NUM
fis-3194	219	11	)	)	PUNCT
fis-3194	219	12	with	with	ADP
fis-3194	219	13	:	:	PUNCT
fis-3194	219	14			ADJ
fis-3194	219	15			ADJ
fis-3194	219	16			PROPN
fis-3194	219	17			PROPN
fis-3194	219	18			ADJ
fis-3194	219	19			NOUN
fis-3194	220	1			ADP
fis-3194	220	2			NUM
fis-3194	220	3			NUM
fis-3194	220	4			NUM
fis-3194	220	5			NUM
fis-3194	220	6			PROPN
fis-3194	220	7	eff	eff	PROPN
fis-3194	220	8	22	22	NUM
fis-3194	220	9	12	12	NUM
fis-3194	220	10	11	11	NUM
fis-3194	220	11	eff	eff	PROPN
fis-3194	220	12	33	33	NUM
fis-3194	220	13	13	13	NUM
fis-3194	220	14	11	11	NUM
fis-3194	220	15	=	=	NOUN
fis-3194	220	16	=	=	SYM
fis-3194	220	17	(	(	PUNCT
fis-3194	220	18	33	33	NUM
fis-3194	220	19	)	)	PUNCT
fis-3194	220	20	for	for	ADP
fis-3194	220	21	an	an	DET
fis-3194	220	22	orthotropic	orthotropic	ADJ
fis-3194	220	23	/	/	SYM
fis-3194	220	24	isotropic	isotropic	NOUN
fis-3194	220	25	case	case	NOUN
fis-3194	220	26	transversely	transversely	NOUN
fis-3194	220	27	and	and	CCONJ
fis-3194	220	28	a	a	DET
fis-3194	220	29	uniaxial	uniaxial	ADJ
fis-3194	220	30	stress	stress	NOUN
fis-3194	220	31	-	-	PUNCT
fis-3194	220	32	state	state	NOUN
fis-3194	220	33	along	along	ADP
fis-3194	220	34	the	the	DET
fis-3194	220	35	direction	direction	NOUN
fis-3194	220	36	x	x	NOUN
fis-3194	220	37	-	-	PUNCT
fis-3194	220	38	x	x	ADP
fis-3194	220	39	,	,	PUNCT
fis-3194	220	40	the	the	DET
fis-3194	220	41	effective	effective	ADJ
fis-3194	220	42	elastic	elastic	ADJ
fis-3194	220	43	properties	property	NOUN
fis-3194	220	44	are	be	AUX
fis-3194	220	45	determined	determine	VERB
fis-3194	220	46	:	:	PUNCT
fis-3194	220	47			PROPN
fis-3194	220	48			NOUN
fis-3194	220	49	eff	eff	PROPN
fis-3194	220	50	11	11	NUM
fis-3194	220	51	11	11	NUM
fis-3194	220	52	11	11	NUM
fis-3194	220	53	e	e	NOUN
fis-3194	220	54	=	=	PUNCT
fis-3194	220	55	(	(	PUNCT
fis-3194	220	56	34	34	NUM
fis-3194	220	57	)	)	PUNCT
fis-3194	220	58			NOUN
fis-3194	220	59			PROPN
fis-3194	220	60			PROPN
fis-3194	220	61	eff	eff	PROPN
fis-3194	220	62	22	22	NUM
fis-3194	220	63	12	12	NUM
fis-3194	220	64	11	11	NUM
fis-3194	220	65	=	=	SYM
fis-3194	220	66	(	(	PUNCT
fis-3194	220	67	35	35	NUM
fis-3194	220	68	)	)	PUNCT
fis-3194	220	69	general	general	ADJ
fis-3194	220	70	implementation	implementation	NOUN
fis-3194	220	71	flowchart	flowchart	NOUN
fis-3194	220	72	on	on	ADP
fis-3194	220	73	the	the	DET
fis-3194	220	74	abaqus	abaqus	PROPN
fis-3194	220	75	calculation	calculation	NOUN
fis-3194	220	76	code	code	NOUN
fis-3194	220	77	he	he	PRON
fis-3194	220	78	proposed	propose	VERB
fis-3194	220	79	periodic	periodic	ADJ
fis-3194	220	80	homogenization	homogenization	NOUN
fis-3194	220	81	method	method	NOUN
fis-3194	220	82	has	have	AUX
fis-3194	220	83	been	be	AUX
fis-3194	220	84	implemented	implement	VERB
fis-3194	220	85	numerically	numerically	ADV
fis-3194	220	86	using	use	VERB
fis-3194	220	87	a	a	DET
fis-3194	220	88	python	python	NOUN
fis-3194	220	89	script	script	NOUN
fis-3194	220	90	,	,	PUNCT
fis-3194	220	91	to	to	PART
fis-3194	220	92	invoke	invoke	VERB
fis-3194	220	93	the	the	DET
fis-3194	220	94	solution	solution	NOUN
fis-3194	220	95	in	in	ADP
fis-3194	220	96	the	the	DET
fis-3194	220	97	abaqus	abaqus	PROPN
fis-3194	220	98	finite	finite	PROPN
fis-3194	220	99	element	element	PROPN
fis-3194	220	100	computational	computational	ADJ
fis-3194	220	101	code	code	NOUN
fis-3194	220	102	.	.	PUNCT
fis-3194	221	1	the	the	DET
fis-3194	221	2	iterative	iterative	NOUN
fis-3194	221	3	algorithm	algorithm	NOUN
fis-3194	221	4	is	be	AUX
fis-3194	221	5	presented	present	VERB
fis-3194	221	6	in	in	ADP
fis-3194	221	7	fig	fig	NOUN
fis-3194	221	8	.	.	PUNCT
fis-3194	222	1	3	3	X
fis-3194	222	2	.	.	X
fis-3194	222	3	at	at	ADP
fis-3194	222	4	each	each	DET
fis-3194	222	5	incremental	incremental	ADJ
fis-3194	222	6	step	step	NOUN
fis-3194	222	7	of	of	ADP
fis-3194	222	8	the	the	DET
fis-3194	222	9	analysis	analysis	NOUN
fis-3194	222	10	,	,	PUNCT
fis-3194	222	11	the	the	DET
fis-3194	222	12	material	material	NOUN
fis-3194	222	13	properties	property	NOUN
fis-3194	222	14	subroutine	subroutine	VERB
fis-3194	222	15	(	(	PUNCT
fis-3194	222	16	umat	umat	PROPN
fis-3194	222	17	)	)	PUNCT
fis-3194	222	18	,	,	PUNCT
fis-3194	222	19	where	where	SCONJ
fis-3194	222	20	the	the	DET
fis-3194	222	21	constitutive	constitutive	ADJ
fis-3194	222	22	law	law	NOUN
fis-3194	222	23	was	be	AUX
fis-3194	222	24	used	use	VERB
fis-3194	222	25	to	to	PART
fis-3194	222	26	carry	carry	VERB
fis-3194	222	27	out	out	ADP
fis-3194	222	28	the	the	DET
fis-3194	222	29	communication	communication	NOUN
fis-3194	222	30	between	between	ADP
fis-3194	222	31	the	the	DET
fis-3194	222	32	python	python	PROPN
fis-3194	222	33	code	code	NOUN
fis-3194	222	34	,	,	PUNCT
fis-3194	222	35	and	and	CCONJ
fis-3194	222	36	the	the	DET
fis-3194	222	37	abaqus	abaqus	PROPN
fis-3194	222	38	solver	solver	NOUN
fis-3194	222	39	.	.	PUNCT
fis-3194	223	1	the	the	DET
fis-3194	223	2	python	python	PROPN
fis-3194	223	3	code	code	NOUN
fis-3194	223	4	modifies	modify	VERB
fis-3194	223	5	the	the	DET
fis-3194	223	6	boundary	boundary	ADJ
fis-3194	223	7	conditions	condition	NOUN
fis-3194	223	8	to	to	ADP
fis-3194	223	9	an	an	DET
fis-3194	223	10	abaqus	abaqus	NOUN
fis-3194	223	11	input	input	NOUN
fis-3194	223	12	file	file	NOUN
fis-3194	223	13	,	,	PUNCT
fis-3194	223	14	applied	apply	VERB
fis-3194	223	15	to	to	ADP
fis-3194	223	16	the	the	DET
fis-3194	223	17	rve	rve	PROPN
fis-3194	223	18	.	.	PUNCT
fis-3194	224	1	t	t	PROPN
fis-3194	224	2	k.	k.	PROPN
fis-3194	224	3	benyahi	benyahi	PROPN
fis-3194	224	4	et	et	PROPN
fis-3194	224	5	alii	alii	PROPN
fis-3194	224	6	,	,	PUNCT
fis-3194	224	7	frattura	frattura	PROPN
fis-3194	224	8	ed	ed	PROPN
fis-3194	224	9	integrità	integrità	PROPN
fis-3194	224	10	strutturale	strutturale	PROPN
fis-3194	224	11	,	,	PUNCT
fis-3194	224	12	58	58	NUM
fis-3194	224	13	(	(	PUNCT
fis-3194	224	14	2021	2021	NUM
fis-3194	224	15	)	)	PUNCT
fis-3194	224	16	319	319	NUM
fis-3194	224	17	-	-	SYM
fis-3194	224	18	343	343	NUM
fis-3194	224	19	;	;	PUNCT
fis-3194	224	20	doi	doi	NOUN
fis-3194	224	21	:	:	PUNCT
fis-3194	224	22	10.3221	10.3221	NUM
fis-3194	224	23	/	/	SYM
fis-3194	224	24	igf	igf	PROPN
fis-3194	224	25	-	-	PUNCT
fis-3194	224	26	esis.58.24	esis.58.24	ADJ
fis-3194	224	27	327	327	NUM
fis-3194	224	28	figure	figure	NOUN
fis-3194	224	29	3	3	NUM
fis-3194	224	30	:	:	PUNCT
fis-3194	224	31	periodic	periodic	ADJ
fis-3194	224	32	homogenization	homogenization	NOUN
fis-3194	224	33	procedure	procedure	NOUN
fis-3194	224	34	implementation	implementation	NOUN
fis-3194	224	35	flowchart	flowchart	NOUN
fis-3194	224	36	.	.	PUNCT
fis-3194	225	1	damage	damage	NOUN
fis-3194	225	2	problem	problem	NOUN
fis-3194	225	3	nce	nce	NOUN
fis-3194	225	4	the	the	DET
fis-3194	225	5	homogenized	homogenized	ADJ
fis-3194	225	6	characteristics	characteristic	NOUN
fis-3194	225	7	are	be	AUX
fis-3194	225	8	appreciated	appreciate	VERB
fis-3194	225	9	in	in	ADP
fis-3194	225	10	the	the	DET
fis-3194	225	11	absence	absence	NOUN
fis-3194	225	12	of	of	ADP
fis-3194	225	13	the	the	DET
fis-3194	225	14	damage	damage	NOUN
fis-3194	225	15	initiated	initiate	VERB
fis-3194	225	16	by	by	ADP
fis-3194	225	17	microcracks	microcrack	NOUN
fis-3194	225	18	and	and	CCONJ
fis-3194	225	19	microcavitations	microcavitation	NOUN
fis-3194	225	20	.	.	PUNCT
fis-3194	226	1	it	it	PRON
fis-3194	226	2	is	be	AUX
fis-3194	226	3	then	then	ADV
fis-3194	226	4	possible	possible	ADJ
fis-3194	226	5	to	to	PART
fis-3194	226	6	introduce	introduce	VERB
fis-3194	226	7	models	model	NOUN
fis-3194	226	8	of	of	ADP
fis-3194	226	9	damage	damage	NOUN
fis-3194	226	10	by	by	ADP
fis-3194	226	11	a	a	DET
fis-3194	226	12	subroutine	subroutine	NOUN
fis-3194	226	13	(	(	PUNCT
fis-3194	226	14	umat	umat	PROPN
fis-3194	226	15	)	)	PUNCT
fis-3194	226	16	in	in	ADP
fis-3194	226	17	the	the	DET
fis-3194	226	18	abaqus	abaqus	PROPN
fis-3194	226	19	calculation	calculation	NOUN
fis-3194	226	20	code	code	NOUN
fis-3194	226	21	.	.	PUNCT
fis-3194	227	1	the	the	DET
fis-3194	227	2	materials	material	NOUN
fis-3194	227	3	are	be	AUX
fis-3194	227	4	supposed	suppose	VERB
fis-3194	227	5	to	to	PART
fis-3194	227	6	obey	obey	VERB
fis-3194	227	7	the	the	DET
fis-3194	227	8	criterion	criterion	NOUN
fis-3194	227	9	of	of	ADP
fis-3194	227	10	von	von	PROPN
fis-3194	227	11	mises	mises	PROPN
fis-3194	227	12	[	[	X
fis-3194	227	13	28	28	NUM
fis-3194	227	14	]	]	PUNCT
fis-3194	227	15	,	,	PUNCT
fis-3194	227	16	which	which	PRON
fis-3194	227	17	is	be	AUX
fis-3194	227	18	based	base	VERB
fis-3194	227	19	on	on	ADP
fis-3194	227	20	the	the	DET
fis-3194	227	21	second	second	ADJ
fis-3194	227	22	invariant	invariant	NOUN
fis-3194	227	23	of	of	ADP
fis-3194	227	24	the	the	DET
fis-3194	227	25	deviatoric	deviatoric	ADJ
fis-3194	227	26	stress	stress	NOUN
fis-3194	227	27	tensor	tensor	NOUN
fis-3194	227	28	.	.	PUNCT
fis-3194	228	1	it	it	PRON
fis-3194	228	2	is	be	AUX
fis-3194	228	3	then	then	ADV
fis-3194	228	4	supposed	suppose	VERB
fis-3194	228	5	that	that	SCONJ
fis-3194	228	6	the	the	DET
fis-3194	228	7	plasticity	plasticity	NOUN
fis-3194	228	8	of	of	ADP
fis-3194	228	9	the	the	DET
fis-3194	228	10	composite	composite	NOUN
fis-3194	228	11	,	,	PUNCT
fis-3194	228	12	being	be	AUX
fis-3194	228	13	governed	govern	VERB
fis-3194	228	14	by	by	ADP
fis-3194	228	15	that	that	PRON
fis-3194	228	16	of	of	ADP
fis-3194	228	17	the	the	DET
fis-3194	228	18	matrix	matrix	NOUN
fis-3194	228	19	then	then	ADV
fis-3194	228	20	the	the	DET
fis-3194	228	21	total	total	ADJ
fis-3194	228	22	plasticity	plasticity	NOUN
fis-3194	228	23	criterion	criterion	NOUN
fis-3194	228	24	will	will	AUX
fis-3194	228	25	be	be	AUX
fis-3194	228	26	obtained	obtain	VERB
fis-3194	228	27	from	from	ADP
fis-3194	228	28	that	that	PRON
fis-3194	228	29	of	of	ADP
fis-3194	228	30	the	the	DET
fis-3194	228	31	matrix	matrix	NOUN
fis-3194	228	32	.	.	PUNCT
fis-3194	229	1	to	to	PART
fis-3194	229	2	translate	translate	VERB
fis-3194	229	3	the	the	DET
fis-3194	229	4	real	real	ADJ
fis-3194	229	5	behavior	behavior	NOUN
fis-3194	229	6	of	of	ADP
fis-3194	229	7	materials	material	NOUN
fis-3194	229	8	into	into	ADP
fis-3194	229	9	nonlinear	nonlinear	ADJ
fis-3194	229	10	elasticity	elasticity	NOUN
fis-3194	229	11	,	,	PUNCT
fis-3194	229	12	relatively	relatively	ADV
fis-3194	229	13	developed	develop	VERB
fis-3194	229	14	laws	law	NOUN
fis-3194	229	15	are	be	AUX
fis-3194	229	16	introduced	introduce	VERB
fis-3194	229	17	within	within	ADP
fis-3194	229	18	the	the	DET
fis-3194	229	19	framework	framework	NOUN
fis-3194	229	20	of	of	ADP
fis-3194	229	21	damage	damage	NOUN
fis-3194	229	22	mechanics	mechanic	NOUN
fis-3194	229	23	.	.	PUNCT
fis-3194	230	1	mazars	mazar	NOUN
fis-3194	230	2	damage	damage	NOUN
fis-3194	230	3	model	model	NOUN
fis-3194	230	4	the	the	DET
fis-3194	230	5	mazars	mazars	NOUN
fis-3194	230	6	model	model	NOUN
fis-3194	230	7	(	(	PUNCT
fis-3194	230	8	[	[	X
fis-3194	230	9	29	29	NUM
fis-3194	230	10	]	]	PUNCT
fis-3194	230	11	,	,	PUNCT
fis-3194	230	12	[	[	X
fis-3194	230	13	30	30	NUM
fis-3194	230	14	]	]	PUNCT
fis-3194	230	15	)	)	PUNCT
fis-3194	230	16	was	be	AUX
fis-3194	230	17	developed	develop	VERB
fis-3194	230	18	within	within	ADP
fis-3194	230	19	the	the	DET
fis-3194	230	20	framework	framework	NOUN
fis-3194	230	21	of	of	ADP
fis-3194	230	22	damage	damage	NOUN
fis-3194	230	23	mechanics	mechanic	NOUN
fis-3194	230	24	(	(	PUNCT
fis-3194	230	25	fig	fig	NOUN
fis-3194	230	26	.	.	PUNCT
fis-3194	231	1	4	4	NUM
fis-3194	231	2	)	)	PUNCT
fis-3194	231	3	.	.	PUNCT
fis-3194	232	1	the	the	DET
fis-3194	232	2	stress	stress	NOUN
fis-3194	232	3	is	be	AUX
fis-3194	232	4	given	give	VERB
fis-3194	232	5	by	by	ADP
fis-3194	232	6	the	the	DET
fis-3194	232	7	following	follow	VERB
fis-3194	232	8	relation	relation	NOUN
fis-3194	232	9	:	:	PUNCT
fis-3194	232	10	(	(	PUNCT
fis-3194	232	11	)	)	PUNCT
fis-3194	232	12			PROPN
fis-3194	232	13			PROPN
fis-3194	232	14	e=	e=	CCONJ
fis-3194	232	15	1	1	NUM
fis-3194	232	16	-	-	SYM
fis-3194	232	17	d	d	X
fis-3194	232	18	e	e	X
fis-3194	232	19	(	(	PUNCT
fis-3194	232	20	36	36	NUM
fis-3194	232	21	)	)	PUNCT
fis-3194	232	22	the	the	DET
fis-3194	232	23	damage	damage	NOUN
fis-3194	232	24	is	be	AUX
fis-3194	232	25	controlled	control	VERB
fis-3194	232	26	by	by	ADP
fis-3194	232	27	the	the	DET
fis-3194	232	28	equivalent	equivalent	ADJ
fis-3194	232	29	strain	strain	NOUN
fis-3194	232	30			PROPN
fis-3194	232	31	eq	eq	NOUN
fis-3194	232	32	,	,	PUNCT
fis-3194	232	33	which	which	PRON
fis-3194	232	34	allows	allow	VERB
fis-3194	232	35	to	to	PART
fis-3194	232	36	translate	translate	VERB
fis-3194	232	37	a	a	DET
fis-3194	232	38	tri	tri	ADJ
fis-3194	232	39	-	-	ADJ
fis-3194	232	40	axial	axial	ADJ
fis-3194	232	41	state	state	NOUN
fis-3194	232	42	by	by	ADP
fis-3194	232	43	an	an	DET
fis-3194	232	44	equivalence	equivalence	NOUN
fis-3194	232	45	to	to	ADP
fis-3194	232	46	a	a	DET
fis-3194	232	47	uniaxial	uniaxial	ADJ
fis-3194	232	48	state	state	NOUN
fis-3194	232	49	.	.	PUNCT
fis-3194	233	1	the	the	DET
fis-3194	233	2	strain	strain	NOUN
fis-3194	233	3	tensor	tensor	NOUN
fis-3194	233	4	in	in	ADP
fis-3194	233	5	the	the	DET
fis-3194	233	6	principal	principal	ADJ
fis-3194	233	7	coordinate	coordinate	NOUN
fis-3194	233	8	system	system	NOUN
fis-3194	233	9	:	:	PUNCT
fis-3194	233	10			PROPN
fis-3194	233	11			PROPN
fis-3194	233	12			PROPN
fis-3194	233	13			PROPN
fis-3194	233	14	22	22	NUM
fis-3194	233	15	2	2	NUM
fis-3194	233	16	eq	eq	NOUN
fis-3194	233	17	1	1	NUM
fis-3194	233	18	2	2	NUM
fis-3194	233	19	3	3	NUM
fis-3194	233	20	+	+	CCONJ
fis-3194	233	21	+	+	PUNCT
fis-3194	233	22	+	+	PUNCT
fis-3194	233	23	=	=	X
fis-3194	234	1	+	+	X
fis-3194	234	2	+	+	CCONJ
fis-3194	234	3	(	(	PUNCT
fis-3194	234	4	37	37	NUM
fis-3194	234	5	)	)	PUNCT
fis-3194	234	6	knowing	know	VERB
fis-3194	234	7	that	that	SCONJ
fis-3194	234	8	the	the	DET
fis-3194	234	9	positive	positive	ADJ
fis-3194	234	10	part	part	NOUN
fis-3194	234	11	+	+	CCONJ
fis-3194	234	12	is	be	AUX
fis-3194	234	13	defined	define	VERB
fis-3194	234	14	,	,	PUNCT
fis-3194	234	15	such	such	ADJ
fis-3194	234	16	that	that	SCONJ
fis-3194	234	17	if	if	SCONJ
fis-3194	234	18			PROPN
fis-3194	234	19	i	i	PRON
fis-3194	234	20	is	be	AUX
fis-3194	234	21	the	the	DET
fis-3194	234	22	main	main	ADJ
fis-3194	234	23	strain	strain	NOUN
fis-3194	234	24	in	in	ADP
fis-3194	234	25	direction	direction	NOUN
fis-3194	235	1	i	i	PRON
fis-3194	235	2	:	:	PUNCT
fis-3194	235	3			PROPN
fis-3194	235	4	i	i	PRON
fis-3194	235	5	+	+	CCONJ
fis-3194	235	6	=	=	SYM
fis-3194	235	7			PROPN
fis-3194	235	8			PROPN
fis-3194	235	9			NOUN
fis-3194	235	10			PROPN
fis-3194	235	11			NUM
fis-3194	235	12			NOUN
fis-3194	236	1	i	i	PRON
fis-3194	236	2	i	i	PRON
fis-3194	236	3	i	i	PRON
fis-3194	236	4	if	if	SCONJ
fis-3194	236	5	0	0	NUM
fis-3194	236	6	0	0	NUM
fis-3194	237	1	if	if	SCONJ
fis-3194	237	2	0	0	NUM
fis-3194	237	3	(	(	PUNCT
fis-3194	237	4	38	38	NUM
fis-3194	237	5	)	)	PUNCT
fis-3194	237	6	eq	eq	NOUN
fis-3194	237	7	is	be	AUX
fis-3194	237	8	an	an	DET
fis-3194	237	9	indicator	indicator	NOUN
fis-3194	237	10	of	of	ADP
fis-3194	237	11	the	the	DET
fis-3194	237	12	state	state	NOUN
fis-3194	237	13	of	of	ADP
fis-3194	237	14	tension	tension	NOUN
fis-3194	237	15	in	in	ADP
fis-3194	237	16	the	the	DET
fis-3194	237	17	material	material	NOUN
fis-3194	237	18	,	,	PUNCT
fis-3194	237	19	which	which	PRON
fis-3194	237	20	generates	generate	VERB
fis-3194	237	21	the	the	DET
fis-3194	237	22	damage	damage	NOUN
fis-3194	237	23	.	.	PUNCT
fis-3194	238	1	this	this	DET
fis-3194	238	2	quantity	quantity	NOUN
fis-3194	238	3	defines	define	VERB
fis-3194	238	4	the	the	DET
fis-3194	238	5	load	load	NOUN
fis-3194	238	6	surface	surface	NOUN
fis-3194	239	1	f	f	X
fis-3194	239	2	,	,	PUNCT
fis-3194	239	3	such	such	ADJ
fis-3194	239	4	that	that	SCONJ
fis-3194	239	5	:	:	PUNCT
fis-3194	239	6	o	o	X
fis-3194	239	7	import	import	NOUN
fis-3194	239	8	the	the	DET
fis-3194	239	9	rve	rve	PROPN
fis-3194	239	10	generated	generate	VERB
fis-3194	239	11	in	in	ADP
fis-3194	239	12	the	the	DET
fis-3194	239	13	format	format	NOUN
fis-3194	239	14	(	(	PUNCT
fis-3194	239	15	.step	.step	NOUN
fis-3194	239	16	)	)	PUNCT
fis-3194	239	17	into	into	ADP
fis-3194	239	18	the	the	DET
fis-3194	239	19	abaqus	abaqus	PROPN
fis-3194	239	20	calculation	calculation	NOUN
fis-3194	239	21	code	code	NOUN
fis-3194	239	22	generate	generate	VERB
fis-3194	239	23	the	the	DET
fis-3194	239	24	microstructure	microstructure	NOUN
fis-3194	239	25	(	(	PUNCT
fis-3194	239	26	geometric	geometric	ADJ
fis-3194	239	27	generator	generator	NOUN
fis-3194	239	28	of	of	ADP
fis-3194	239	29	random	random	ADJ
fis-3194	239	30	objects	object	NOUN
fis-3194	239	31	)	)	PUNCT
fis-3194	239	32	periodic	periodic	ADJ
fis-3194	239	33	homogenization	homogenization	NOUN
fis-3194	239	34	by	by	ADP
fis-3194	239	35	python	python	PROPN
fis-3194	239	36	scripts	script	NOUN
fis-3194	239	37	(	(	PUNCT
fis-3194	239	38	imposition	imposition	NOUN
fis-3194	239	39	of	of	ADP
fis-3194	239	40	periodic	periodic	ADJ
fis-3194	239	41	boundary	boundary	ADJ
fis-3194	239	42	conditions	condition	NOUN
fis-3194	239	43	,	,	PUNCT
fis-3194	239	44	introduction	introduction	NOUN
fis-3194	239	45	of	of	ADP
fis-3194	239	46	elimination	elimination	NOUN
fis-3194	239	47	equations	equation	NOUN
fis-3194	239	48	):	):	PUNCT
fis-3194	239	49	read	read	VERB
fis-3194	239	50	the	the	DET
fis-3194	239	51	rve	rve	PROPN
fis-3194	239	52	file	file	PROPN
fis-3194	239	53	(	(	PUNCT
fis-3194	239	54	.odb	.odb	PUNCT
fis-3194	239	55	)	)	PUNCT
fis-3194	239	56	calculate	calculate	NOUN
fis-3194	239	57	𝜎	𝜎	PROPN
fis-3194	239	58	from	from	ADP
fis-3194	239	59	the	the	DET
fis-3194	239	60	mean	mean	NOUN
fis-3194	239	61	of	of	ADP
fis-3194	239	62	the	the	DET
fis-3194	239	63	volume	volume	NOUN
fis-3194	239	64	calculate	calculate	VERB
fis-3194	239	65	the	the	DET
fis-3194	239	66	current	current	ADJ
fis-3194	239	67	jacobian	jacobian	PROPN
fis-3194	239	68	𝐶	𝐶	PROPN
fis-3194	239	69	start	start	VERB
fis-3194	239	70	the	the	DET
fis-3194	239	71	simulation	simulation	NOUN
fis-3194	239	72	of	of	ADP
fis-3194	239	73	the	the	DET
fis-3194	239	74	model	model	NOUN
fis-3194	239	75	under	under	ADP
fis-3194	239	76	the	the	DET
fis-3194	239	77	abaqus	abaqus	PROPN
fis-3194	239	78	calculation	calculation	NOUN
fis-3194	239	79	code	code	NOUN
fis-3194	239	80	determination	determination	NOUN
fis-3194	239	81	of	of	ADP
fis-3194	239	82	effective	effective	ADJ
fis-3194	239	83	mechanical	mechanical	ADJ
fis-3194	239	84	characteristics	characteristic	NOUN
fis-3194	239	85	introduce	introduce	VERB
fis-3194	239	86	the	the	DET
fis-3194	239	87	constitutive	constitutive	ADJ
fis-3194	239	88	laws	law	NOUN
fis-3194	239	89	of	of	ADP
fis-3194	239	90	the	the	DET
fis-3194	239	91	constituents	constituent	NOUN
fis-3194	239	92	of	of	ADP
fis-3194	239	93	composite	composite	NOUN
fis-3194	239	94	by	by	ADP
fis-3194	239	95	the	the	DET
fis-3194	239	96	subroutine	subroutine	NOUN
fis-3194	239	97	(	(	PUNCT
fis-3194	239	98	umat	umat	PROPN
fis-3194	239	99	)	)	PUNCT
fis-3194	239	100	on	on	ADP
fis-3194	239	101	the	the	DET
fis-3194	239	102	abaqus	abaqus	PROPN
fis-3194	239	103	calculation	calculation	NOUN
fis-3194	239	104	code	code	NOUN
fis-3194	239	105	:	:	PUNCT
fis-3194	239	106	read	read	VERB
fis-3194	239	107	the	the	DET
fis-3194	239	108	macroscopic	macroscopic	ADJ
fis-3194	239	109	constraints	constraint	NOUN
fis-3194	239	110	read	read	VERB
fis-3194	239	111	the	the	DET
fis-3194	239	112	current	current	ADJ
fis-3194	239	113	jacobian	jacobian	ADJ
fis-3194	239	114	matrix	matrix	NOUN
fis-3194	239	115	submit	submit	NOUN
fis-3194	239	116	to	to	ADP
fis-3194	239	117	abaqus	abaqus	PROPN
fis-3194	239	118	k.	k.	PROPN
fis-3194	239	119	benyahi	benyahi	PROPN
fis-3194	239	120	et	et	PROPN
fis-3194	239	121	alii	alii	PROPN
fis-3194	239	122	,	,	PUNCT
fis-3194	239	123	frattura	frattura	PROPN
fis-3194	239	124	ed	ed	PROPN
fis-3194	239	125	integrità	integrità	PROPN
fis-3194	239	126	strutturale	strutturale	PROPN
fis-3194	239	127	,	,	PUNCT
fis-3194	239	128	58	58	NUM
fis-3194	239	129	(	(	PUNCT
fis-3194	239	130	2021	2021	NUM
fis-3194	239	131	)	)	PUNCT
fis-3194	239	132	319	319	NUM
fis-3194	239	133	-	-	SYM
fis-3194	239	134	343	343	NUM
fis-3194	239	135	;	;	PUNCT
fis-3194	239	136	doi	doi	NOUN
fis-3194	239	137	:	:	PUNCT
fis-3194	239	138	10.3221	10.3221	NUM
fis-3194	239	139	/	/	SYM
fis-3194	239	140	igf	igf	PROPN
fis-3194	239	141	-	-	PUNCT
fis-3194	239	142	esis.58.24	esis.58.24	ADJ
fis-3194	239	143	328	328	NUM
fis-3194	239	144	(	(	PUNCT
fis-3194	239	145	)	)	PUNCT
fis-3194	239	146	eqf=	eqf=	NUM
fis-3194	239	147	-k	-k	PUNCT
fis-3194	239	148	d	d	SYM
fis-3194	239	149	=	=	SYM
fis-3194	239	150	0	0	NUM
fis-3194	239	151	(	(	PUNCT
fis-3194	239	152	39	39	NUM
fis-3194	239	153	)	)	PUNCT
fis-3194	239	154	with	with	ADP
fis-3194	239	155	:	:	PUNCT
fis-3194	239	156	(	(	PUNCT
fis-3194	239	157	)	)	PUNCT
fis-3194	239	158	eqk	eqk	PROPN
fis-3194	240	1	d	d	NOUN
fis-3194	240	2	=	=	X
fis-3194	240	3	d=0if	d=0if	X
fis-3194	240	4	(	(	PUNCT
fis-3194	240	5	40	40	NUM
fis-3194	240	6	)	)	PUNCT
fis-3194	240	7	figure	figure	NOUN
fis-3194	240	8	4	4	NUM
fis-3194	240	9	:	:	PUNCT
fis-3194	240	10	behavior	behavior	NOUN
fis-3194	240	11	of	of	ADP
fis-3194	240	12	concrete	concrete	NOUN
fis-3194	240	13	according	accord	VERB
fis-3194	240	14	to	to	ADP
fis-3194	240	15	the	the	DET
fis-3194	240	16	mazars	mazar	NOUN
fis-3194	240	17	model	model	NOUN
fis-3194	240	18	(	(	PUNCT
fis-3194	240	19	[	[	X
fis-3194	240	20	29	29	NUM
fis-3194	240	21	]	]	PUNCT
fis-3194	240	22	,	,	PUNCT
fis-3194	240	23	[	[	X
fis-3194	240	24	30	30	NUM
fis-3194	240	25	]	]	NUM
fis-3194	240	26	)	)	PUNCT
fis-3194	240	27	.	.	PUNCT
fis-3194	241	1	the	the	DET
fis-3194	241	2	relation	relation	NOUN
fis-3194	241	3	between	between	ADP
fis-3194	241	4	these	these	DET
fis-3194	241	5	variables	variable	NOUN
fis-3194	241	6	is	be	AUX
fis-3194	241	7	given	give	VERB
fis-3194	241	8	as	as	SCONJ
fis-3194	241	9	follows	follow	VERB
fis-3194	241	10	:	:	PUNCT
fis-3194	242	1			NOUN
fis-3194	242	2			NOUN
fis-3194	242	3	t	t	PROPN
fis-3194	242	4	t	t	PROPN
fis-3194	242	5	c	c	PROPN
fis-3194	242	6	cd=	cd=	PROPN
fis-3194	243	1	d	d	PROPN
fis-3194	243	2	+	+	CCONJ
fis-3194	243	3	d	d	X
fis-3194	243	4	(	(	PUNCT
fis-3194	243	5	41	41	NUM
fis-3194	243	6	)	)	PUNCT
fis-3194	243	7	usually	usually	ADV
fis-3194	243	8	the	the	DET
fis-3194	243	9	value	value	NOUN
fis-3194	243	10	of	of	ADP
fis-3194	243	11			PROPN
fis-3194	243	12	is	be	AUX
fis-3194	243	13	fixed	fix	VERB
fis-3194	243	14	at	at	ADP
fis-3194	243	15	1.06	1.06	NUM
fis-3194	243	16	.	.	PUNCT
fis-3194	244	1	the	the	DET
fis-3194	244	2	coefficients	coefficient	NOUN
fis-3194	244	3	t	t	PROPN
fis-3194	244	4	and	and	CCONJ
fis-3194	244	5	c	c	PRON
fis-3194	244	6	carry	carry	VERB
fis-3194	244	7	out	out	ADP
fis-3194	244	8	a	a	DET
fis-3194	244	9	link	link	NOUN
fis-3194	244	10	between	between	ADP
fis-3194	244	11	the	the	DET
fis-3194	244	12	damage	damage	NOUN
fis-3194	244	13	,	,	PUNCT
fis-3194	244	14	and	and	CCONJ
fis-3194	244	15	the	the	DET
fis-3194	244	16	state	state	NOUN
fis-3194	244	17	of	of	ADP
fis-3194	244	18	traction	traction	NOUN
fis-3194	244	19	or	or	CCONJ
fis-3194	244	20	compression	compression	NOUN
fis-3194	244	21	.	.	PUNCT
fis-3194	245	1	when	when	SCONJ
fis-3194	245	2	traction	traction	NOUN
fis-3194	245	3	is	be	AUX
fis-3194	245	4	activated	activate	VERB
fis-3194	245	5			X
fis-3194	245	6	=	=	SYM
fis-3194	245	7	t	t	NOUN
fis-3194	245	8	1	1	NUM
fis-3194	245	9	while	while	SCONJ
fis-3194	245	10			NOUN
fis-3194	245	11	=	=	NOUN
fis-3194	245	12	c	c	NOUN
fis-3194	245	13	0	0	NUM
fis-3194	245	14	,	,	PUNCT
fis-3194	245	15	and	and	CCONJ
fis-3194	245	16	vice	vice	NOUN
fis-3194	245	17	-	-	NOUN
fis-3194	245	18	versa	versa	ADJ
fis-3194	245	19	in	in	ADP
fis-3194	245	20	compression	compression	NOUN
fis-3194	245	21	.	.	PUNCT
fis-3194	246	1	the	the	DET
fis-3194	246	2	damage	damage	NOUN
fis-3194	246	3	evolution	evolution	NOUN
fis-3194	246	4	laws	law	NOUN
fis-3194	246	5	td	td	NOUN
fis-3194	246	6	and	and	CCONJ
fis-3194	246	7	cd	cd	PROPN
fis-3194	246	8	are	be	AUX
fis-3194	246	9	expressed	express	VERB
fis-3194	246	10	only	only	ADV
fis-3194	246	11	from	from	ADP
fis-3194	246	12	the	the	DET
fis-3194	246	13	equivalent	equivalent	ADJ
fis-3194	246	14	strain	strain	NOUN
fis-3194	246	15	eq	eq	NOUN
fis-3194	246	16	.	.	PUNCT
fis-3194	247	1	(	(	PUNCT
fis-3194	247	2	)	)	PUNCT
fis-3194	247	3	(	(	PUNCT
fis-3194	247	4	)	)	PUNCT
fis-3194	247	5	(	(	PUNCT
fis-3194	247	6	)	)	PUNCT
fis-3194	247	7			PROPN
fis-3194	247	8			PROPN
fis-3194	247	9			PROPN
fis-3194	247	10	t	t	PROPN
fis-3194	247	11	t	t	PROPN
fis-3194	247	12	t	t	PROPN
fis-3194	247	13	t	t	PROPN
fis-3194	247	14	eq	eq	NOUN
fis-3194	247	15	d0	d0	PROPN
fis-3194	247	16	eq	eq	ADP
fis-3194	247	17	1	1	NUM
fis-3194	247	18	-	-	PUNCT
fis-3194	247	19	a	a	PRON
fis-3194	247	20	d	d	NOUN
fis-3194	247	21	=	=	NOUN
fis-3194	247	22	1	1	NUM
fis-3194	247	23	-	-	SYM
fis-3194	247	24	a	a	DET
fis-3194	247	25	exp	exp	NOUN
fis-3194	247	26	-b	-b	PUNCT
fis-3194	247	27	(	(	PUNCT
fis-3194	247	28	42	42	NUM
fis-3194	247	29	)	)	PUNCT
fis-3194	247	30	(	(	PUNCT
fis-3194	247	31	)	)	PUNCT
fis-3194	247	32	(	(	PUNCT
fis-3194	247	33	)	)	PUNCT
fis-3194	247	34	(	(	PUNCT
fis-3194	247	35	)	)	PUNCT
fis-3194	247	36			PROPN
fis-3194	247	37			PROPN
fis-3194	247	38			PROPN
fis-3194	247	39	c	c	NOUN
fis-3194	247	40	c	c	NOUN
fis-3194	247	41	c	c	PROPN
fis-3194	247	42	c	c	NOUN
fis-3194	247	43	eq	eq	NOUN
fis-3194	247	44	d0	d0	PROPN
fis-3194	247	45	eq	eq	ADP
fis-3194	247	46	1	1	NUM
fis-3194	247	47	-	-	PUNCT
fis-3194	247	48	a	a	PRON
fis-3194	247	49	d	d	NOUN
fis-3194	247	50	=	=	NOUN
fis-3194	247	51	1	1	NUM
fis-3194	247	52	-	-	SYM
fis-3194	247	53	a	a	DET
fis-3194	247	54	exp	exp	NOUN
fis-3194	247	55	-b	-b	PUNCT
fis-3194	247	56	(	(	PUNCT
fis-3194	247	57	43	43	NUM
fis-3194	247	58	)	)	PUNCT
fis-3194	247	59	with	with	ADP
fis-3194	247	60	:	:	PUNCT
fis-3194	248	1	d0	d0	NOUN
fis-3194	248	2	:	:	PUNCT
fis-3194	248	3	the	the	DET
fis-3194	248	4	threshold	threshold	NOUN
fis-3194	248	5	strain	strain	NOUN
fis-3194	248	6	of	of	ADP
fis-3194	248	7	damage	damage	NOUN
fis-3194	248	8	,	,	PUNCT
fis-3194	248	9			NOUN
fis-3194	248	10	:	:	PUNCT
fis-3194	248	11	coefficient	coefficient	NOUN
fis-3194	248	12	which	which	PRON
fis-3194	248	13	was	be	AUX
fis-3194	248	14	introduced	introduce	VERB
fis-3194	248	15	later	later	ADV
fis-3194	248	16	to	to	PART
fis-3194	248	17	improve	improve	VERB
fis-3194	248	18	the	the	DET
fis-3194	248	19	shear	shear	NOUN
fis-3194	248	20	behavior	behavior	NOUN
fis-3194	248	21	,	,	PUNCT
fis-3194	248	22	t	t	PROPN
fis-3194	248	23	c	c	PROPN
fis-3194	248	24	t	t	PROPN
fis-3194	248	25	ca	can	AUX
fis-3194	248	26	a	a	DET
fis-3194	248	27	b	b	NOUN
fis-3194	248	28	,	,	PUNCT
fis-3194	248	29	,	,	PUNCT
fis-3194	248	30	,	,	PUNCT
fis-3194	248	31	band	band	NOUN
fis-3194	248	32	:	:	PUNCT
fis-3194	248	33	material	material	NOUN
fis-3194	248	34	parameters	parameter	NOUN
fis-3194	248	35	to	to	PART
fis-3194	248	36	identify	identify	VERB
fis-3194	248	37	.	.	PUNCT
fis-3194	249	1	damage	damage	NOUN
fis-3194	249	2	model	model	NOUN
fis-3194	249	3	from	from	ADP
fis-3194	249	4	bouafia	bouafia	PROPN
fis-3194	249	5	et	et	PROPN
fis-3194	249	6	al	al	PROPN
fis-3194	249	7	.	.	PUNCT
fis-3194	250	1	to	to	PART
fis-3194	250	2	describe	describe	VERB
fis-3194	250	3	the	the	DET
fis-3194	250	4	behavior	behavior	NOUN
fis-3194	250	5	of	of	ADP
fis-3194	250	6	composites	composite	NOUN
fis-3194	250	7	with	with	ADP
fis-3194	250	8	cylindrical	cylindrical	ADJ
fis-3194	250	9	inclusions	inclusion	NOUN
fis-3194	250	10	in	in	ADP
fis-3194	250	11	tension	tension	NOUN
fis-3194	250	12	.	.	PUNCT
fis-3194	251	1	the	the	DET
fis-3194	251	2	relationships	relationship	NOUN
fis-3194	251	3	proposed	propose	VERB
fis-3194	251	4	by	by	ADP
fis-3194	251	5	bouafia	bouafia	PROPN
fis-3194	251	6	et	et	PROPN
fis-3194	251	7	al	al	PROPN
fis-3194	251	8	.	.	PUNCT
fis-3194	252	1	(	(	PUNCT
fis-3194	252	2	[	[	X
fis-3194	252	3	31	31	NUM
fis-3194	252	4	]	]	PUNCT
fis-3194	252	5	,	,	PUNCT
fis-3194	252	6	[	[	X
fis-3194	252	7	32	32	NUM
fis-3194	252	8	]	]	PUNCT
fis-3194	252	9	)	)	PUNCT
fis-3194	252	10	within	within	ADP
fis-3194	252	11	the	the	DET
fis-3194	252	12	framework	framework	NOUN
fis-3194	252	13	of	of	ADP
fis-3194	252	14	the	the	DET
fis-3194	252	15	theory	theory	NOUN
fis-3194	252	16	of	of	ADP
fis-3194	252	17	beams	beam	NOUN
fis-3194	252	18	,	,	PUNCT
fis-3194	252	19	with	with	ADP
fis-3194	252	20	taking	take	VERB
fis-3194	252	21	into	into	ADP
fis-3194	252	22	account	account	NOUN
fis-3194	252	23	of	of	ADP
fis-3194	252	24	the	the	DET
fis-3194	252	25	damage	damage	NOUN
fis-3194	252	26	which	which	PRON
fis-3194	252	27	was	be	AUX
fis-3194	252	28	developed	develop	VERB
fis-3194	252	29	for	for	ADP
fis-3194	252	30	k.	k.	PROPN
fis-3194	252	31	benyahi	benyahi	PROPN
fis-3194	252	32	et	et	PROPN
fis-3194	252	33	alii	alii	PROPN
fis-3194	252	34	,	,	PUNCT
fis-3194	252	35	frattura	frattura	PROPN
fis-3194	252	36	ed	ed	PROPN
fis-3194	252	37	integrità	integrità	PROPN
fis-3194	252	38	strutturale	strutturale	PROPN
fis-3194	252	39	,	,	PUNCT
fis-3194	252	40	58	58	NUM
fis-3194	252	41	(	(	PUNCT
fis-3194	252	42	2021	2021	NUM
fis-3194	252	43	)	)	PUNCT
fis-3194	252	44	319	319	NUM
fis-3194	252	45	-	-	SYM
fis-3194	252	46	343	343	NUM
fis-3194	252	47	;	;	PUNCT
fis-3194	252	48	doi	doi	NOUN
fis-3194	252	49	:	:	PUNCT
fis-3194	252	50	10.3221	10.3221	NUM
fis-3194	252	51	/	/	SYM
fis-3194	252	52	igf	igf	PROPN
fis-3194	252	53	-	-	PUNCT
fis-3194	252	54	esis.58.24	esis.58.24	ADJ
fis-3194	252	55	329	329	NUM
fis-3194	252	56	the	the	DET
fis-3194	252	57	behavior	behavior	NOUN
fis-3194	252	58	of	of	ADP
fis-3194	252	59	the	the	DET
fis-3194	252	60	concrete	concrete	NOUN
fis-3194	252	61	of	of	ADP
fis-3194	252	62	fibers	fiber	NOUN
fis-3194	252	63	in	in	ADP
fis-3194	252	64	tension	tension	NOUN
fis-3194	252	65	(	(	PUNCT
fis-3194	252	66	fig	fig	NOUN
fis-3194	252	67	.	.	PUNCT
fis-3194	253	1	5	5	NUM
fis-3194	253	2	)	)	PUNCT
fis-3194	253	3	.	.	PUNCT
fis-3194	254	1	the	the	DET
fis-3194	254	2	fibers	fiber	NOUN
fis-3194	254	3	(	(	PUNCT
fis-3194	254	4	cylindrical	cylindrical	ADJ
fis-3194	254	5	inclusions	inclusion	NOUN
fis-3194	254	6	)	)	PUNCT
fis-3194	254	7	are	be	AUX
fis-3194	254	8	dispersed	disperse	VERB
fis-3194	254	9	in	in	ADP
fis-3194	254	10	the	the	DET
fis-3194	254	11	concrete	concrete	NOUN
fis-3194	254	12	at	at	ADP
fis-3194	254	13	random	random	ADJ
fis-3194	254	14	,	,	PUNCT
fis-3194	254	15	and	and	CCONJ
fis-3194	254	16	the	the	DET
fis-3194	254	17	modeling	modeling	NOUN
fis-3194	254	18	is	be	AUX
fis-3194	254	19	carried	carry	VERB
fis-3194	254	20	out	out	ADP
fis-3194	254	21	considering	consider	VERB
fis-3194	254	22	a	a	DET
fis-3194	254	23	uniform	uniform	ADJ
fis-3194	254	24	distribution	distribution	NOUN
fis-3194	254	25	.	.	PUNCT
fis-3194	255	1	figure	figure	NOUN
fis-3194	255	2	5	5	NUM
fis-3194	255	3	:	:	PUNCT
fis-3194	255	4	constitutive	constitutive	ADJ
fis-3194	255	5	law	law	NOUN
fis-3194	255	6	(	(	PUNCT
fis-3194	255	7	σ	σ	PROPN
fis-3194	255	8	-	-	PUNCT
fis-3194	255	9	ε	ε	PROPN
fis-3194	255	10	)	)	PUNCT
fis-3194	255	11	in	in	ADP
fis-3194	255	12	traction	traction	NOUN
fis-3194	255	13	of	of	ADP
fis-3194	255	14	steel	steel	NOUN
fis-3194	255	15	fiber	fiber	NOUN
fis-3194	255	16	concrete	concrete	NOUN
fis-3194	256	1	[	[	X
fis-3194	256	2	31	31	NUM
fis-3194	256	3	]	]	PUNCT
fis-3194	256	4	.	.	PUNCT
fis-3194	257	1	the	the	DET
fis-3194	257	2	variable	variable	NOUN
fis-3194	257	3	of	of	ADP
fis-3194	257	4	the	the	DET
fis-3194	257	5	damage	damage	NOUN
fis-3194	257	6	in	in	ADP
fis-3194	257	7	uni	uni	ADJ
fis-3194	257	8	-	-	ADJ
fis-3194	257	9	axial	axial	ADJ
fis-3194	257	10	traction	traction	NOUN
fis-3194	257	11	,	,	PUNCT
fis-3194	257	12	is	be	AUX
fis-3194	257	13	given	give	VERB
fis-3194	257	14	by	by	ADP
fis-3194	257	15	:	:	PUNCT
fis-3194	257	16	(	(	PUNCT
fis-3194	257	17	)	)	PUNCT
fis-3194	257	18	(	(	PUNCT
fis-3194	257	19	)	)	PUNCT
fis-3194	257	20	(	(	PUNCT
fis-3194	257	21	)	)	PUNCT
fis-3194	257	22	(	(	PUNCT
fis-3194	257	23	)	)	PUNCT
fis-3194	257	24	(	(	PUNCT
fis-3194	257	25	)	)	PUNCT
fis-3194	257	26	(	(	PUNCT
fis-3194	257	27	)	)	PUNCT
fis-3194	257	28	(	(	PUNCT
fis-3194	257	29	)	)	PUNCT
fis-3194	257	30	(	(	PUNCT
fis-3194	257	31	)	)	PUNCT
fis-3194	257	32			PROPN
fis-3194	257	33			NOUN
fis-3194	258	1			PROPN
fis-3194	258	2			PROPN
fis-3194	258	3			PROPN
fis-3194	258	4			PROPN
fis-3194	258	5			PROPN
fis-3194	258	6			PROPN
fis-3194	258	7			PROPN
fis-3194	258	8			PROPN
fis-3194	258	9			PROPN
fis-3194	258	10			PROPN
fis-3194	258	11			PROPN
fis-3194	258	12			PROPN
fis-3194	258	13			PROPN
fis-3194	258	14			PROPN
fis-3194	258	15			PROPN
fis-3194	258	16			PROPN
fis-3194	258	17			PROPN
fis-3194	258	18			PROPN
fis-3194	258	19			ADP
fis-3194	258	20			PROPN
fis-3194	258	21	−	−	NOUN
fis-3194	258	22			NUM
fis-3194	258	23			NOUN
fis-3194	258	24			NOUN
fis-3194	258	25			NOUN
fis-3194	258	26	→	→	SYM
fis-3194	258	27	=	=	SYM
fis-3194	258	28	−	−	NOUN
fis-3194	258	29			PRON
fis-3194	258	30			NOUN
fis-3194	258	31			NOUN
fis-3194	258	32			VERB
fis-3194	258	33			NOUN
fis-3194	258	34			NUM
fis-3194	258	35			NUM
fis-3194	258	36			NUM
fis-3194	258	37			PROPN
fis-3194	258	38			PROPN
fis-3194	258	39			NOUN
fis-3194	258	40			NOUN
fis-3194	258	41	→	→	SYM
fis-3194	258	42	=	=	SYM
fis-3194	258	43	−	−	PROPN
fis-3194	258	44	−	−	PUNCT
fis-3194	258	45			X
fis-3194	258	46			NOUN
fis-3194	258	47			ADJ
fis-3194	258	48			PROPN
fis-3194	258	49	6	6	NUM
fis-3194	258	50	u	u	NOUN
fis-3194	258	51	ft	ft	NOUN
fis-3194	258	52	u	u	NOUN
fis-3194	258	53	1	1	NUM
fis-3194	258	54	6	6	NUM
fis-3194	258	55	t	t	NOUN
fis-3194	258	56	t	t	NOUN
fis-3194	258	57	ft	ft	PART
fis-3194	258	58	u	u	PROPN
fis-3194	258	59	6	6	NUM
fis-3194	258	60	u	u	NOUN
fis-3194	258	61	u	u	NOUN
fis-3194	258	62	r	r	NOUN
fis-3194	258	63	2	2	NUM
fis-3194	258	64	6	6	NUM
fis-3194	258	65	t	t	NOUN
fis-3194	258	66	r	r	NOUN
fis-3194	258	67	u	u	NOUN
fis-3194	258	68	1	1	NUM
fis-3194	258	69	1	1	NUM
fis-3194	258	70	.	.	PUNCT
fis-3194	258	71	1	1	NUM
fis-3194	258	72	uc	uc	NOUN
fis-3194	258	73	ftuc	ftuc	NOUN
fis-3194	259	1	t	t	PROPN
fis-3194	260	1	ct	ct	INTJ
fis-3194	261	1	ct	ct	INTJ
fis-3194	262	1	uc	uc	INTJ
fis-3194	262	2	t	t	PROPN
fis-3194	262	3	ct	ct	NOUN
fis-3194	262	4	f	f	PROPN
fis-3194	262	5	d	d	X
fis-3194	262	6	e	e	X
fis-3194	262	7	e	e	X
fis-3194	262	8	d	d	X
fis-3194	262	9	e	e	X
fis-3194	262	10	(	(	PUNCT
fis-3194	262	11	44	44	NUM
fis-3194	262	12	)	)	PUNCT
fis-3194	262	13	the	the	DET
fis-3194	262	14	maximum	maximum	ADJ
fis-3194	262	15	ultimate	ultimate	ADJ
fis-3194	262	16	stress	stress	NOUN
fis-3194	262	17	of	of	ADP
fis-3194	262	18	the	the	DET
fis-3194	262	19	composite	composite	ADJ
fis-3194	262	20	(	(	PUNCT
fis-3194	262	21	function	function	NOUN
fis-3194	262	22	of	of	ADP
fis-3194	262	23	the	the	DET
fis-3194	262	24	characteristics	characteristic	NOUN
fis-3194	262	25	of	of	ADP
fis-3194	262	26	inclusions	inclusion	NOUN
fis-3194	262	27	):	):	PUNCT
fis-3194	262	28			NOUN
fis-3194	262	29			X
fis-3194	262	30			PROPN
fis-3194	262	31			PROPN
fis-3194	262	32			NOUN
fis-3194	262	33	0	0	PUNCT
fis-3194	263	1	=	=	PUNCT
fis-3194	263	2	c	c	X
fis-3194	263	3	f	f	X
fis-3194	263	4	u	u	X
fis-3194	263	5	ul	ul	INTJ
fis-3194	263	6	(	(	PUNCT
fis-3194	263	7	45	45	NUM
fis-3194	263	8	)	)	PUNCT
fis-3194	263	9	the	the	DET
fis-3194	263	10	reference	reference	NOUN
fis-3194	263	11	length	length	NOUN
fis-3194	263	12	is	be	AUX
fis-3194	263	13	linked	link	VERB
fis-3194	263	14	to	to	ADP
fis-3194	263	15	the	the	DET
fis-3194	263	16	height	height	NOUN
fis-3194	263	17	h	h	NOUN
fis-3194	263	18	of	of	ADP
fis-3194	263	19	the	the	DET
fis-3194	263	20	section	section	NOUN
fis-3194	263	21	:	:	PUNCT
fis-3194	263	22	=	=	PROPN
fis-3194	263	23	hrl	hrl	PROPN
fis-3194	263	24	(	(	PUNCT
fis-3194	263	25	46	46	NUM
fis-3194	263	26	)	)	PUNCT
fis-3194	263	27	the	the	DET
fis-3194	263	28	initial	initial	ADJ
fis-3194	263	29	modulus	modulus	NOUN
fis-3194	263	30	of	of	ADP
fis-3194	263	31	the	the	DET
fis-3194	263	32	composite	composite	NOUN
fis-3194	263	33	in	in	ADP
fis-3194	263	34	traction	traction	NOUN
fis-3194	263	35	is	be	AUX
fis-3194	263	36	given	give	VERB
fis-3194	263	37	by	by	ADP
fis-3194	263	38	:	:	PUNCT
fis-3194	263	39	(	(	PUNCT
fis-3194	263	40	)	)	PUNCT
fis-3194	263	41			PROPN
fis-3194	263	42	+0	+0	PROPN
fis-3194	264	1	01	01	NUM
fis-3194	264	2	=	=	NUM
fis-3194	264	3	ct	ct	PROPN
fis-3194	264	4	be	be	VERB
fis-3194	264	5	ne	ne	X
fis-3194	264	6	(	(	PUNCT
fis-3194	264	7	47	47	NUM
fis-3194	264	8	)	)	PUNCT
fis-3194	264	9	the	the	DET
fis-3194	264	10	ultimate	ultimate	ADJ
fis-3194	264	11	strain	strain	NOUN
fis-3194	264	12	corresponding	correspond	VERB
fis-3194	264	13	to	to	ADP
fis-3194	264	14	the	the	DET
fis-3194	264	15	total	total	ADJ
fis-3194	264	16	mobilization	mobilization	NOUN
fis-3194	264	17	of	of	ADP
fis-3194	264	18	the	the	DET
fis-3194	264	19	inclusions	inclusion	NOUN
fis-3194	264	20	-	-	PUNCT
fis-3194	264	21	matrix	matrix	NOUN
fis-3194	264	22	adhesion	adhesion	NOUN
fis-3194	264	23	,	,	PUNCT
fis-3194	264	24	is	be	AUX
fis-3194	264	25	given	give	VERB
fis-3194	264	26	by	by	ADP
fis-3194	264	27	:	:	PUNCT
fis-3194	264	28			PROPN
fis-3194	264	29			PROPN
fis-3194	264	30			NOUN
fis-3194	264	31			PROPN
fis-3194	264	32			PROPN
fis-3194	264	33	+	+	CCONJ
fis-3194	264	34	2	2	NUM
fis-3194	264	35	=	=	SYM
fis-3194	264	36	3	3	NUM
fis-3194	264	37	u	u	NOUN
fis-3194	264	38	f	f	PROPN
fis-3194	264	39	u	u	PROPN
fis-3194	264	40	ft	ft	PROPN
fis-3194	264	41	f	f	PROPN
fis-3194	264	42	l	l	NOUN
fis-3194	264	43	e	e	NOUN
fis-3194	264	44	h	h	NOUN
fis-3194	264	45	(	(	PUNCT
fis-3194	264	46	48	48	NUM
fis-3194	264	47	)	)	PUNCT
fis-3194	264	48	when	when	SCONJ
fis-3194	264	49	there	there	PRON
fis-3194	264	50	is	be	VERB
fis-3194	264	51	tearing	tear	VERB
fis-3194	264	52	of	of	ADP
fis-3194	264	53	inclusions	inclusion	NOUN
fis-3194	264	54	,	,	PUNCT
fis-3194	264	55	the	the	DET
fis-3194	264	56	breaking	break	VERB
fis-3194	264	57	strain	strain	NOUN
fis-3194	264	58	of	of	ADP
fis-3194	264	59	the	the	DET
fis-3194	264	60	composite	composite	NOUN
fis-3194	264	61	,	,	PUNCT
fis-3194	264	62	is	be	AUX
fis-3194	264	63	given	give	VERB
fis-3194	264	64	by	by	ADP
fis-3194	264	65	:	:	PUNCT
fis-3194	264	66			PROPN
fis-3194	264	67			PROPN
fis-3194	264	68			PROPN
fis-3194	264	69			NOUN
fis-3194	264	70			PROPN
fis-3194	264	71			PROPN
fis-3194	264	72	+	+	CCONJ
fis-3194	264	73	+	+	CCONJ
fis-3194	264	74	2	2	NUM
fis-3194	264	75	=	=	SYM
fis-3194	264	76	3	3	NUM
fis-3194	264	77	4	4	NUM
fis-3194	264	78	u	u	NOUN
fis-3194	264	79	f	f	PROPN
fis-3194	264	80	f	f	PROPN
fis-3194	264	81	rt	rt	PROPN
fis-3194	264	82	ft	ft	PROPN
fis-3194	264	83	f	f	PROPN
fis-3194	264	84	l	l	NOUN
fis-3194	264	85	l	l	NOUN
fis-3194	264	86	e	e	NOUN
fis-3194	264	87	h	h	NOUN
fis-3194	264	88	h	h	NOUN
fis-3194	264	89	(	(	PUNCT
fis-3194	264	90	49	49	NUM
fis-3194	264	91	)	)	PUNCT
fis-3194	264	92	k.	k.	PROPN
fis-3194	265	1	benyahi	benyahi	PROPN
fis-3194	265	2	et	et	PROPN
fis-3194	265	3	alii	alii	PROPN
fis-3194	265	4	,	,	PUNCT
fis-3194	265	5	frattura	frattura	PROPN
fis-3194	265	6	ed	ed	PROPN
fis-3194	265	7	integrità	integrità	PROPN
fis-3194	265	8	strutturale	strutturale	PROPN
fis-3194	265	9	,	,	PUNCT
fis-3194	265	10	58	58	NUM
fis-3194	265	11	(	(	PUNCT
fis-3194	265	12	2021	2021	NUM
fis-3194	265	13	)	)	PUNCT
fis-3194	265	14	319	319	NUM
fis-3194	265	15	-	-	SYM
fis-3194	265	16	343	343	NUM
fis-3194	265	17	;	;	PUNCT
fis-3194	265	18	doi	doi	NOUN
fis-3194	265	19	:	:	PUNCT
fis-3194	265	20	10.3221	10.3221	NUM
fis-3194	265	21	/	/	SYM
fis-3194	265	22	igf	igf	PROPN
fis-3194	265	23	-	-	PUNCT
fis-3194	265	24	esis.58.24	esis.58.24	ADJ
fis-3194	265	25	330	330	NUM
fis-3194	265	26	this	this	DET
fis-3194	265	27	strain	strain	NOUN
fis-3194	265	28	is	be	AUX
fis-3194	265	29	a	a	DET
fis-3194	265	30	consequence	consequence	NOUN
fis-3194	265	31	of	of	ADP
fis-3194	265	32	opening	open	VERB
fis-3194	265	33	the	the	DET
fis-3194	265	34	cracks	crack	NOUN
fis-3194	265	35	too	too	ADV
fis-3194	265	36	large	large	ADJ
fis-3194	265	37	.	.	PUNCT
fis-3194	266	1	this	this	DET
fis-3194	266	2	fracture	fracture	NOUN
fis-3194	266	3	strain	strain	NOUN
fis-3194	266	4	of	of	ADP
fis-3194	266	5	the	the	DET
fis-3194	266	6	inclusions	inclusion	NOUN
fis-3194	266	7	is	be	AUX
fis-3194	266	8	limited	limit	VERB
fis-3194	266	9	as	as	SCONJ
fis-3194	266	10	follows	follow	VERB
fis-3194	266	11	:	:	PUNCT
fis-3194	266	12			PROPN
fis-3194	266	13	=rt	=rt	ADV
fis-3194	266	14	ft	ft	X
fis-3194	266	15	(	(	PUNCT
fis-3194	266	16	50	50	NUM
fis-3194	266	17	)	)	PUNCT
fis-3194	266	18	the	the	DET
fis-3194	266	19	damage	damage	NOUN
fis-3194	266	20	is	be	AUX
fis-3194	266	21	progressive	progressive	ADJ
fis-3194	266	22	in	in	ADP
fis-3194	266	23	the	the	DET
fis-3194	266	24	field	field	NOUN
fis-3194	266	25	of	of	ADP
fis-3194	266	26	strains	strain	NOUN
fis-3194	266	27	.	.	PUNCT
fis-3194	267	1	for	for	ADP
fis-3194	267	2	a	a	DET
fis-3194	267	3	uni	uni	ADJ
fis-3194	267	4	-	-	ADJ
fis-3194	267	5	axial	axial	ADJ
fis-3194	267	6	state	state	NOUN
fis-3194	267	7	of	of	ADP
fis-3194	267	8	tension	tension	NOUN
fis-3194	267	9	,	,	PUNCT
fis-3194	267	10	the	the	DET
fis-3194	267	11	equivalent	equivalent	ADJ
fis-3194	267	12	strain	strain	NOUN
fis-3194	267	13	(	(	PUNCT
fis-3194	267	14	)	)	PUNCT
fis-3194	267	15	(	(	PUNCT
fis-3194	267	16	)	)	PUNCT
fis-3194	267	17			PROPN
fis-3194	267	18			VERB
fis-3194	267	19	1	1	NUM
fis-3194	267	20	2,t	2,t	NUM
fis-3194	267	21	td	td	NOUN
fis-3194	267	22	d	d	NOUN
fis-3194	267	23	,	,	PUNCT
fis-3194	267	24	in	in	ADP
fis-3194	267	25	the	the	DET
fis-3194	267	26	nonlinear	nonlinear	ADJ
fis-3194	267	27	field	field	NOUN
fis-3194	267	28	is	be	AUX
fis-3194	267	29	such	such	ADJ
fis-3194	267	30	that	that	SCONJ
fis-3194	267	31	:	:	PUNCT
fis-3194	267	32	(	(	PUNCT
fis-3194	267	33	)	)	PUNCT
fis-3194	267	34	(	(	PUNCT
fis-3194	267	35	)	)	PUNCT
fis-3194	267	36	(	(	PUNCT
fis-3194	267	37	)	)	PUNCT
fis-3194	267	38	(	(	PUNCT
fis-3194	267	39	)	)	PUNCT
fis-3194	267	40	(	(	PUNCT
fis-3194	267	41	)	)	PUNCT
fis-3194	267	42	(	(	PUNCT
fis-3194	267	43	)	)	PUNCT
fis-3194	267	44			PROPN
fis-3194	267	45			PROPN
fis-3194	267	46			PROPN
fis-3194	267	47			PROPN
fis-3194	267	48			PROPN
fis-3194	267	49			PROPN
fis-3194	267	50			PROPN
fis-3194	267	51			PROPN
fis-3194	267	52			PROPN
fis-3194	267	53			X
fis-3194	267	54			X
fis-3194	267	55			NOUN
fis-3194	267	56			ADP
fis-3194	267	57			NOUN
fis-3194	267	58			NOUN
fis-3194	267	59	→	→	SYM
fis-3194	267	60	=	=	SYM
fis-3194	267	61	=	=	NUM
fis-3194	267	62			NUM
fis-3194	267	63			NUM
fis-3194	267	64			NUM
fis-3194	267	65			NUM
fis-3194	267	66			NUM
fis-3194	267	67			NUM
fis-3194	267	68			NOUN
fis-3194	267	69			NOUN
fis-3194	267	70	→	→	SYM
fis-3194	267	71	=	=	SYM
fis-3194	267	72	=	=	SYM
fis-3194	267	73			NOUN
fis-3194	267	74	ft	ft	PART
fis-3194	267	75	u	u	NOUN
fis-3194	267	76	1	1	NUM
fis-3194	267	77	1	1	NUM
fis-3194	267	78	1	1	NUM
fis-3194	267	79	u	u	NOUN
fis-3194	267	80	r	r	NOUN
fis-3194	267	81	2	2	NUM
fis-3194	267	82	2	2	NUM
fis-3194	267	83	2	2	NUM
fis-3194	267	84	=	=	SYM
fis-3194	267	85	11=	11=	NUM
fis-3194	267	86	11	11	NUM
fis-3194	267	87	t	t	NOUN
fis-3194	267	88	ct	ct	NUM
fis-3194	267	89	t	t	PROPN
fis-3194	268	1	t	t	PROPN
fis-3194	269	1	t	t	PROPN
fis-3194	270	1	ct	ct	PROPN
fis-3194	270	2	t	t	PROPN
fis-3194	270	3	t	t	X
fis-3194	270	4	d	d	X
fis-3194	270	5	e	e	X
fis-3194	270	6	e	e	X
fis-3194	270	7	d	d	X
fis-3194	270	8	d	d	X
fis-3194	270	9	d	d	X
fis-3194	270	10	e	e	X
fis-3194	270	11	e	e	X
fis-3194	270	12	d	d	X
fis-3194	270	13	d	d	X
fis-3194	270	14	(	(	PUNCT
fis-3194	270	15	51	51	NUM
fis-3194	270	16	)	)	PUNCT
fis-3194	270	17	and	and	CCONJ
fis-3194	270	18	(	(	PUNCT
fis-3194	270	19	)	)	PUNCT
fis-3194	270	20	(	(	PUNCT
fis-3194	270	21	)	)	PUNCT
fis-3194	270	22	(	(	PUNCT
fis-3194	270	23	)	)	PUNCT
fis-3194	270	24	(	(	PUNCT
fis-3194	270	25	)	)	PUNCT
fis-3194	270	26	(	(	PUNCT
fis-3194	270	27	)	)	PUNCT
fis-3194	270	28			PROPN
fis-3194	270	29			PROPN
fis-3194	270	30			PROPN
fis-3194	270	31			PROPN
fis-3194	270	32			PROPN
fis-3194	270	33			PROPN
fis-3194	270	34			PROPN
fis-3194	270	35			PROPN
fis-3194	270	36	=	=	PUNCT
fis-3194	270	37			ADJ
fis-3194	270	38			NUM
fis-3194	270	39			NOUN
fis-3194	270	40			NOUN
fis-3194	270	41			NUM
fis-3194	270	42			NUM
fis-3194	270	43	→	→	SYM
fis-3194	270	44	=	=	SYM
fis-3194	270	45			PROPN
fis-3194	270	46	1	1	NUM
fis-3194	270	47	1	1	NUM
fis-3194	270	48	ft	ft	NOUN
fis-3194	270	49	ft	ft	NOUN
fis-3194	270	50	1	1	NUM
fis-3194	270	51	r	r	NOUN
fis-3194	270	52	2	2	NUM
fis-3194	270	53	2	2	NUM
fis-3194	270	54	r	r	NOUN
fis-3194	270	55	f	f	NOUN
fis-3194	270	56	,	,	PUNCT
fis-3194	270	57	0	0	NUM
fis-3194	270	58	f	f	PROPN
fis-3194	270	59	,	,	PUNCT
fis-3194	270	60	0	0	NUM
fis-3194	270	61	t	t	NOUN
fis-3194	271	1	t	t	PROPN
fis-3194	271	2	t	t	PROPN
fis-3194	271	3	t	t	PROPN
fis-3194	271	4	t	t	PROPN
fis-3194	271	5	d	d	X
fis-3194	271	6	d	d	PROPN
fis-3194	271	7	d	d	PROPN
fis-3194	271	8	d	d	X
fis-3194	271	9	d	d	X
fis-3194	271	10	(	(	PUNCT
fis-3194	271	11	52	52	NUM
fis-3194	271	12	)	)	PUNCT
fis-3194	271	13	figure	figure	NOUN
fis-3194	271	14	6	6	NUM
fis-3194	271	15	:	:	PUNCT
fis-3194	271	16	damage	damage	NOUN
fis-3194	271	17	model	model	NOUN
fis-3194	271	18	algorithm	algorithm	PROPN
fis-3194	271	19	implementation	implementation	NOUN
fis-3194	271	20	diagram	diagram	PROPN
fis-3194	271	21	.	.	PUNCT
fis-3194	272	1	the	the	DET
fis-3194	272	2	threshold	threshold	NOUN
fis-3194	272	3	function	function	NOUN
fis-3194	272	4	defines	define	VERB
fis-3194	272	5	two	two	NUM
fis-3194	272	6	limit	limit	NOUN
fis-3194	272	7	states	state	NOUN
fis-3194	272	8	:	:	PUNCT
fis-3194	272	9	an	an	DET
fis-3194	272	10	elastic	elastic	ADJ
fis-3194	272	11	state	state	NOUN
fis-3194	272	12	(	(	PUNCT
fis-3194	272	13	)	)	PUNCT
fis-3194	272	14			PROPN
fis-3194	272	15	ft	ft	X
fis-3194	272	16	.	.	PUNCT
fis-3194	273	1	a	a	DET
fis-3194	273	2	breaking	break	VERB
fis-3194	273	3	limit	limit	NOUN
fis-3194	273	4	given	give	VERB
fis-3194	273	5	by	by	ADP
fis-3194	273	6	the	the	DET
fis-3194	273	7	value	value	NOUN
fis-3194	273	8	(	(	PUNCT
fis-3194	273	9	)	)	PUNCT
fis-3194	273	10			PROPN
fis-3194	273	11	r	r	NOUN
fis-3194	273	12	.	.	PUNCT
fis-3194	274	1	such	such	ADJ
fis-3194	274	2	as	as	ADP
fis-3194	274	3	:	:	PUNCT
fis-3194	274	4	(	(	PUNCT
fis-3194	274	5	)	)	PUNCT
fis-3194	274	6			PROPN
fis-3194	274	7			PROPN
fis-3194	274	8			PROPN
fis-3194	274	9			PROPN
fis-3194	274	10			PROPN
fis-3194	274	11	=	=	NOUN
fis-3194	274	12			NOUN
fis-3194	274	13			NOUN
fis-3194	274	14	=	=	SYM
fis-3194	274	15	→	→	SYM
fis-3194	274	16			NUM
fis-3194	274	17			NUM
fis-3194	274	18	=	=	SYM
fis-3194	274	19	→	→	SYM
fis-3194	274	20	→	→	NUM
fis-3194	274	21	ft	ft	NOUN
fis-3194	274	22	1	1	NUM
fis-3194	274	23	1	1	NUM
fis-3194	274	24	r	r	NOUN
fis-3194	274	25	2	2	NUM
fis-3194	274	26	=	=	SYM
fis-3194	274	27	0	0	NUM
fis-3194	274	28	f	f	PROPN
fis-3194	274	29	,	,	PUNCT
fis-3194	274	30	0	0	PUNCT
fis-3194	274	31	=	=	SYM
fis-3194	274	32	0	0	NUM
fis-3194	274	33	t	t	NOUN
fis-3194	274	34	t	t	NOUN
fis-3194	274	35	t	t	PROPN
fis-3194	274	36	d	d	X
fis-3194	274	37	d	d	PROPN
fis-3194	274	38	d	d	PROPN
fis-3194	274	39	(	(	PUNCT
fis-3194	274	40	53	53	NUM
fis-3194	274	41	)	)	PUNCT
fis-3194	274	42	k.	k.	PROPN
fis-3194	274	43	benyahi	benyahi	PROPN
fis-3194	274	44	et	et	PROPN
fis-3194	274	45	alii	alii	PROPN
fis-3194	274	46	,	,	PUNCT
fis-3194	274	47	frattura	frattura	PROPN
fis-3194	274	48	ed	ed	PROPN
fis-3194	274	49	integrità	integrità	PROPN
fis-3194	274	50	strutturale	strutturale	PROPN
fis-3194	274	51	,	,	PUNCT
fis-3194	274	52	58	58	NUM
fis-3194	274	53	(	(	PUNCT
fis-3194	274	54	2021	2021	NUM
fis-3194	274	55	)	)	PUNCT
fis-3194	274	56	319	319	NUM
fis-3194	274	57	-	-	SYM
fis-3194	274	58	343	343	NUM
fis-3194	274	59	;	;	PUNCT
fis-3194	274	60	doi	doi	NOUN
fis-3194	274	61	:	:	PUNCT
fis-3194	274	62	10.3221	10.3221	NUM
fis-3194	274	63	/	/	SYM
fis-3194	274	64	igf	igf	PROPN
fis-3194	274	65	-	-	PUNCT
fis-3194	274	66	esis.58.24	esis.58.24	ADJ
fis-3194	274	67	331	331	NUM
fis-3194	274	68	implementation	implementation	NOUN
fis-3194	274	69	of	of	ADP
fis-3194	274	70	damage	damage	NOUN
fis-3194	274	71	models	model	NOUN
fis-3194	274	72	in	in	ADP
fis-3194	274	73	abaqus	abaqus	PROPN
fis-3194	274	74	calculation	calculation	NOUN
fis-3194	274	75	code	code	NOUN
fis-3194	274	76	he	he	PRON
fis-3194	274	77	model	model	NOUN
fis-3194	274	78	of	of	ADP
fis-3194	274	79	mazars	mazar	NOUN
fis-3194	274	80	(	(	PUNCT
fis-3194	274	81	[	[	X
fis-3194	274	82	29	29	NUM
fis-3194	274	83	]	]	PUNCT
fis-3194	274	84	,	,	PUNCT
fis-3194	275	1	[	[	X
fis-3194	275	2	30	30	NUM
fis-3194	275	3	]	]	NUM
fis-3194	275	4	)	)	PUNCT
fis-3194	275	5	,	,	PUNCT
fis-3194	275	6	the	the	DET
fis-3194	275	7	model	model	NOUN
fis-3194	275	8	of	of	ADP
fis-3194	275	9	bouafia	bouafia	PROPN
fis-3194	275	10	et	et	PROPN
fis-3194	275	11	al	al	PROPN
fis-3194	275	12	.	.	PUNCT
fis-3194	276	1	(	(	PUNCT
fis-3194	276	2	[	[	X
fis-3194	276	3	31	31	NUM
fis-3194	276	4	]	]	PUNCT
fis-3194	276	5	,	,	PUNCT
fis-3194	276	6	[	[	X
fis-3194	276	7	32	32	NUM
fis-3194	276	8	]	]	PUNCT
fis-3194	276	9	)	)	PUNCT
fis-3194	276	10	simulating	simulate	VERB
fis-3194	276	11	an	an	DET
fis-3194	276	12	isotropic	isotropic	ADJ
fis-3194	276	13	elastic	elastic	ADJ
fis-3194	276	14	-	-	PUNCT
fis-3194	276	15	damageable	damageable	NOUN
fis-3194	276	16	behavior	behavior	NOUN
fis-3194	276	17	in	in	ADP
fis-3194	276	18	tension	tension	NOUN
fis-3194	276	19	,	,	PUNCT
fis-3194	276	20	they	they	PRON
fis-3194	276	21	are	be	AUX
fis-3194	276	22	implemented	implement	VERB
fis-3194	276	23	in	in	ADP
fis-3194	276	24	the	the	DET
fis-3194	276	25	abaqus	abaqus	PROPN
fis-3194	276	26	calculation	calculation	NOUN
fis-3194	276	27	code	code	NOUN
fis-3194	276	28	.	.	PUNCT
fis-3194	277	1	their	their	PRON
fis-3194	277	2	algorithms	algorithm	NOUN
fis-3194	277	3	thus	thus	ADV
fis-3194	277	4	obtain	obtain	VERB
fis-3194	277	5	are	be	AUX
fis-3194	277	6	presented	present	VERB
fis-3194	277	7	in	in	ADP
fis-3194	277	8	figs	fig	NOUN
fis-3194	277	9	.	.	PUNCT
fis-3194	278	1	6a-6b	6a-6b	X
fis-3194	278	2	respectively	respectively	ADV
fis-3194	278	3	.	.	PUNCT
fis-3194	279	1	damage	damage	NOUN
fis-3194	279	2	search	search	NOUN
fis-3194	279	3	and	and	CCONJ
fis-3194	279	4	introduction	introduction	NOUN
fis-3194	279	5	flowchart	flowchart	NOUN
fis-3194	279	6	he	he	PROPN
fis-3194	279	7	flowchart	flowchart	PROPN
fis-3194	279	8	for	for	ADP
fis-3194	279	9	finding	finding	NOUN
fis-3194	279	10	,	,	PUNCT
fis-3194	279	11	and	and	CCONJ
fis-3194	279	12	introducing	introduce	VERB
fis-3194	279	13	damage	damage	NOUN
fis-3194	279	14	into	into	ADP
fis-3194	279	15	a	a	DET
fis-3194	279	16	periodic	periodic	ADJ
fis-3194	279	17	homogenization	homogenization	NOUN
fis-3194	279	18	problem	problem	NOUN
fis-3194	279	19	,	,	PUNCT
fis-3194	279	20	is	be	AUX
fis-3194	279	21	shown	show	VERB
fis-3194	279	22	below	below	ADP
fis-3194	279	23	(	(	PUNCT
fis-3194	279	24	fig	fig	NOUN
fis-3194	279	25	.	.	PUNCT
fis-3194	280	1	7	7	X
fis-3194	280	2	):	):	PUNCT
fis-3194	280	3	figure	figure	NOUN
fis-3194	280	4	7	7	NUM
fis-3194	280	5	:	:	PUNCT
fis-3194	280	6	damage	damage	NOUN
fis-3194	280	7	search	search	NOUN
fis-3194	280	8	and	and	CCONJ
fis-3194	280	9	introduction	introduction	NOUN
fis-3194	280	10	flowchart	flowchart	PROPN
fis-3194	280	11	.	.	PUNCT
fis-3194	281	1	numerical	numerical	PROPN
fis-3194	281	2	comparison	comparison	NOUN
fis-3194	281	3	of	of	ADP
fis-3194	281	4	homogenization	homogenization	NOUN
fis-3194	281	5	models	model	NOUN
fis-3194	281	6	to	to	PART
fis-3194	281	7	experience	experience	VERB
fis-3194	281	8	lightweight	lightweight	ADJ
fis-3194	281	9	concrete	concrete	ADJ
fis-3194	281	10	composite	composite	NOUN
fis-3194	281	11	n	n	DET
fis-3194	281	12	this	this	DET
fis-3194	281	13	example	example	NOUN
fis-3194	281	14	,	,	PUNCT
fis-3194	281	15	the	the	DET
fis-3194	281	16	concrete	concrete	NOUN
fis-3194	281	17	used	use	VERB
fis-3194	281	18	is	be	AUX
fis-3194	281	19	hydraulic	hydraulic	ADJ
fis-3194	281	20	lightweight	lightweight	ADJ
fis-3194	281	21	aggregates	aggregate	NOUN
fis-3194	281	22	,	,	PUNCT
fis-3194	281	23	the	the	DET
fis-3194	281	24	matrix	matrix	NOUN
fis-3194	281	25	is	be	AUX
fis-3194	281	26	cementitious	cementitious	ADJ
fis-3194	281	27	while	while	SCONJ
fis-3194	281	28	the	the	DET
fis-3194	281	29	aggregates	aggregate	NOUN
fis-3194	281	30	are	be	AUX
fis-3194	281	31	expanded	expand	VERB
fis-3194	281	32	clay	clay	NOUN
fis-3194	281	33	[	[	X
fis-3194	281	34	33	33	NUM
fis-3194	281	35	]	]	PUNCT
fis-3194	281	36	.	.	PUNCT
fis-3194	282	1	the	the	DET
fis-3194	282	2	elastic	elastic	ADJ
fis-3194	282	3	properties	property	NOUN
fis-3194	282	4	of	of	ADP
fis-3194	282	5	the	the	DET
fis-3194	282	6	constituents	constituent	NOUN
fis-3194	282	7	of	of	ADP
fis-3194	282	8	composite	composite	NOUN
fis-3194	282	9	are	be	AUX
fis-3194	282	10	presented	present	VERB
fis-3194	282	11	in	in	ADP
fis-3194	282	12	tab	tab	NOUN
fis-3194	282	13	.	.	PUNCT
fis-3194	283	1	1	1	X
fis-3194	283	2	.	.	X
fis-3194	283	3	in	in	ADP
fis-3194	283	4	this	this	DET
fis-3194	283	5	example	example	NOUN
fis-3194	283	6	,	,	PUNCT
fis-3194	283	7	it	it	PRON
fis-3194	283	8	is	be	AUX
fis-3194	283	9	a	a	DET
fis-3194	283	10	question	question	NOUN
fis-3194	283	11	of	of	ADP
fis-3194	283	12	comparing	compare	VERB
fis-3194	283	13	our	our	PRON
fis-3194	283	14	numerical	numerical	ADJ
fis-3194	283	15	results	result	NOUN
fis-3194	283	16	obtained	obtain	VERB
fis-3194	283	17	(	(	PUNCT
fis-3194	283	18	by	by	ADP
fis-3194	283	19	the	the	DET
fis-3194	283	20	semi	semi	ADJ
fis-3194	283	21	-	-	ADJ
fis-3194	283	22	analytical	analytical	ADJ
fis-3194	283	23	method	method	NOUN
fis-3194	283	24	of	of	ADP
fis-3194	283	25	homogenization	homogenization	NOUN
fis-3194	283	26	(	(	PUNCT
fis-3194	283	27	mori	mori	NOUN
fis-3194	283	28	-	-	PUNCT
fis-3194	283	29	tanaka	tanaka	PROPN
fis-3194	283	30	model	model	PROPN
fis-3194	283	31	)	)	PUNCT
fis-3194	283	32	,	,	PUNCT
fis-3194	283	33	and	and	CCONJ
fis-3194	283	34	by	by	ADP
fis-3194	283	35	the	the	DET
fis-3194	283	36	method	method	NOUN
fis-3194	283	37	of	of	ADP
fis-3194	283	38	periodic	periodic	ADJ
fis-3194	283	39	homogenization	homogenization	NOUN
fis-3194	283	40	(	(	PUNCT
fis-3194	283	41	numerical	numerical	ADJ
fis-3194	283	42	model	model	NOUN
fis-3194	283	43	)	)	PUNCT
fis-3194	283	44	)	)	PUNCT
fis-3194	283	45	,	,	PUNCT
fis-3194	283	46	with	with	ADP
fis-3194	283	47	the	the	DET
fis-3194	283	48	experimental	experimental	ADJ
fis-3194	283	49	results	result	NOUN
fis-3194	283	50	(	(	PUNCT
fis-3194	283	51	experimental	experimental	ADJ
fis-3194	283	52	)	)	PUNCT
fis-3194	284	1	[	[	X
fis-3194	284	2	33	33	NUM
fis-3194	284	3	]	]	PUNCT
fis-3194	284	4	.	.	PUNCT
fis-3194	285	1	these	these	DET
fis-3194	285	2	latter	latter	ADJ
fis-3194	285	3	are	be	AUX
fis-3194	285	4	obtained	obtain	VERB
fis-3194	285	5	from	from	ADP
fis-3194	285	6	compression	compression	NOUN
fis-3194	285	7	tests	test	NOUN
fis-3194	285	8	carried	carry	VERB
fis-3194	285	9	out	out	ADP
fis-3194	285	10	on	on	ADP
fis-3194	285	11	cylindrical	cylindrical	ADJ
fis-3194	285	12	specimens	specimen	NOUN
fis-3194	285	13	(	(	PUNCT
fis-3194	285	14	16	16	NUM
fis-3194	285	15	x	x	SYM
fis-3194	285	16	32	32	NUM
fis-3194	285	17	mm	mm	NOUN
fis-3194	285	18	)	)	PUNCT
fis-3194	285	19	,	,	PUNCT
fis-3194	285	20	for	for	ADP
fis-3194	285	21	different	different	ADJ
fis-3194	285	22	volume	volume	NOUN
fis-3194	285	23	fractions	fraction	NOUN
fis-3194	285	24	of	of	ADP
fis-3194	285	25	light	light	ADJ
fis-3194	285	26	aggregates	aggregate	NOUN
fis-3194	285	27	:	:	PUNCT
fis-3194	285	28	0.125	0.125	NUM
fis-3194	285	29	,	,	PUNCT
fis-3194	285	30	0.25	0.25	NUM
fis-3194	285	31	,	,	PUNCT
fis-3194	285	32	0.375	0.375	NUM
fis-3194	285	33	and	and	CCONJ
fis-3194	285	34	0.45	0.45	NUM
fis-3194	285	35	.	.	PUNCT
fis-3194	286	1	the	the	DET
fis-3194	286	2	width	width	NOUN
fis-3194	286	3	of	of	ADP
fis-3194	286	4	the	the	DET
fis-3194	286	5	rve	rve	PROPN
fis-3194	286	6	is	be	AUX
fis-3194	286	7	taken	take	VERB
fis-3194	286	8	on	on	ADP
fis-3194	286	9	the	the	DET
fis-3194	286	10	order	order	NOUN
fis-3194	286	11	of	of	ADP
fis-3194	286	12	the	the	DET
fis-3194	286	13	diameter	diameter	NOUN
fis-3194	286	14	of	of	ADP
fis-3194	286	15	median	median	ADJ
fis-3194	286	16	grain	grain	NOUN
fis-3194	286	17	of	of	ADP
fis-3194	286	18	sand	sand	NOUN
fis-3194	286	19	(	(	PUNCT
fis-3194	286	20	0.08	0.08	NUM
fis-3194	286	21	mm	mm	NOUN
fis-3194	286	22	)	)	PUNCT
fis-3194	287	1	[	[	X
fis-3194	287	2	33	33	NUM
fis-3194	287	3	]	]	PUNCT
fis-3194	287	4	.	.	PUNCT
fis-3194	288	1	t	t	PROPN
fis-3194	288	2	t	t	PROPN
fis-3194	289	1	i	i	PRON
fis-3194	289	2	yes	yes	INTJ
fis-3194	289	3	breaking	break	VERB
fis-3194	290	1	no	no	INTJ
fis-3194	291	1	yes	yes	INTJ
fis-3194	291	2	ε̃	ε̃	PROPN
fis-3194	291	3	≥	≥	PRON
fis-3194	291	4	ε̃crit	ε̃crit	VERB
fis-3194	291	5	no	no	INTJ
fis-3194	291	6	𝐢𝐧	𝐢𝐧	ADV
fis-3194	292	1	𝐜𝐫	𝐜𝐫	INTJ
fis-3194	292	2	=	=	VERB
fis-3194	292	3	𝐢𝐧	𝐢𝐧	NOUN
fis-3194	292	4	𝐜𝐫	𝐜𝐫	INTJ
fis-3194	292	5	+	+	CCONJ
fis-3194	292	6	𝟏	𝟏	NUM
fis-3194	292	7	periodic	periodic	ADJ
fis-3194	292	8	homogenization	homogenization	NOUN
fis-3194	292	9	𝐶0	𝐶0	PROPN
fis-3194	292	10	𝑛	𝑛	PROPN
fis-3194	292	11	,	,	PUNCT
fis-3194	292	12	𝐶𝑛	𝐶𝑛	PROPN
fis-3194	292	13	,	,	PUNCT
fis-3194	292	14	𝜎𝑛	𝜎𝑛	INTJ
fis-3194	292	15	,	,	PUNCT
fis-3194	292	16	𝐸𝑛	𝐸𝑛	ADP
fis-3194	292	17	effective	effective	ADJ
fis-3194	292	18	properties	property	NOUN
fis-3194	292	19	e	e	NOUN
fis-3194	292	20	,	,	PUNCT
fis-3194	292	21	ν	ν	PROPN
fis-3194	292	22	,	,	PUNCT
fis-3194	292	23	g	g	PROPN
fis-3194	292	24	,	,	PUNCT
fis-3194	292	25	k	k	PROPN
fis-3194	292	26	,	,	PUNCT
fis-3194	292	27	incrmax	incrmax	ADJ
fis-3194	292	28	∆𝜀	∆𝜀	NOUN
fis-3194	292	29	imposed	impose	VERB
fis-3194	292	30	mazars	mazar	NOUN
fis-3194	292	31	model	model	NOUN
fis-3194	292	32	parameters	parameter	NOUN
fis-3194	292	33	at	at	ADP
fis-3194	292	34	,	,	PUNCT
fis-3194	292	35	ac	ac	PROPN
fis-3194	292	36	,	,	PUNCT
fis-3194	292	37	bt	bt	PROPN
fis-3194	292	38	,	,	PUNCT
fis-3194	292	39	bc	bc	PROPN
fis-3194	292	40	,	,	PUNCT
fis-3194	292	41	ε̃crit	ε̃crit	PROPN
fis-3194	292	42	bouafia	bouafia	PROPN
fis-3194	292	43	et	et	PROPN
fis-3194	292	44	al	al	PROPN
fis-3194	292	45	.	.	PROPN
fis-3194	292	46	model	model	PROPN
fis-3194	292	47	parameters	parameters	PROPN
fis-3194	292	48	ϖ	ϖ	PROPN
fis-3194	292	49	,	,	PUNCT
fis-3194	292	50	θ0	θ0	PROPN
fis-3194	292	51	,	,	PUNCT
fis-3194	292	52	lr	lr	INTJ
fis-3194	292	53	,	,	PUNCT
fis-3194	292	54	β	β	X
fis-3194	292	55	,	,	PUNCT
fis-3194	292	56	h	h	NOUN
fis-3194	292	57	,	,	PUNCT
fis-3194	292	58	lf	lf	PROPN
fis-3194	292	59	,	,	PUNCT
fis-3194	292	60	ef	ef	PROPN
fis-3194	292	61	,	,	PUNCT
fis-3194	292	62	τu	τu	ADP
fis-3194	292	63	,	,	PUNCT
fis-3194	292	64	ϕ	ϕ	NOUN
fis-3194	292	65	,	,	PUNCT
fis-3194	292	66	εrt	εrt	NOUN
fis-3194	292	67	,	,	PUNCT
fis-3194	292	68	ε̃crit	ε̃crit	PROPN
fis-3194	292	69	incr	incr	VERB
fis-3194	292	70	≥	≥	NUM
fis-3194	292	71	incrmax	incrmax	ADJ
fis-3194	292	72	end	end	NOUN
fis-3194	292	73	of	of	ADP
fis-3194	292	74	simulation	simulation	PROPN
fis-3194	292	75	k.	k.	PROPN
fis-3194	292	76	benyahi	benyahi	PROPN
fis-3194	292	77	et	et	PROPN
fis-3194	292	78	alii	alii	PROPN
fis-3194	292	79	,	,	PUNCT
fis-3194	292	80	frattura	frattura	PROPN
fis-3194	292	81	ed	ed	PROPN
fis-3194	292	82	integrità	integrità	PROPN
fis-3194	292	83	strutturale	strutturale	PROPN
fis-3194	292	84	,	,	PUNCT
fis-3194	292	85	58	58	NUM
fis-3194	292	86	(	(	PUNCT
fis-3194	292	87	2021	2021	NUM
fis-3194	292	88	)	)	PUNCT
fis-3194	292	89	319	319	NUM
fis-3194	292	90	-	-	SYM
fis-3194	292	91	343	343	NUM
fis-3194	292	92	;	;	PUNCT
fis-3194	292	93	doi	doi	NOUN
fis-3194	292	94	:	:	PUNCT
fis-3194	292	95	10.3221	10.3221	NUM
fis-3194	292	96	/	/	SYM
fis-3194	292	97	igf	igf	PROPN
fis-3194	292	98	-	-	PUNCT
fis-3194	292	99	esis.58.24	esis.58.24	ADJ
fis-3194	292	100	332	332	NUM
fis-3194	292	101	lightweight	lightweight	ADJ
fis-3194	292	102	concrete	concrete	ADJ
fis-3194	292	103	young	young	NOUN
fis-3194	292	104	's	's	PART
fis-3194	292	105	modulus	modulus	NOUN
fis-3194	292	106	(	(	PUNCT
fis-3194	292	107	mpa	mpa	PROPN
fis-3194	292	108	)	)	PUNCT
fis-3194	292	109	poisson	poisson	NOUN
fis-3194	292	110	coefficient	coefficient	NOUN
fis-3194	292	111	matrix	matrix	NOUN
fis-3194	292	112	23630	23630	NUM
fis-3194	292	113	0.20	0.20	NUM
fis-3194	292	114	aggregates	aggregate	NOUN
fis-3194	292	115	(	(	PUNCT
fis-3194	292	116	expanded	expand	VERB
fis-3194	292	117	clay	clay	NOUN
fis-3194	292	118	)	)	PUNCT
fis-3194	292	119	5679	5679	NUM
fis-3194	292	120	0.15	0.15	NUM
fis-3194	292	121	table	table	NOUN
fis-3194	292	122	1	1	NUM
fis-3194	292	123	:	:	PUNCT
fis-3194	292	124	the	the	DET
fis-3194	292	125	elastic	elastic	ADJ
fis-3194	292	126	properties	property	NOUN
fis-3194	292	127	of	of	ADP
fis-3194	292	128	the	the	DET
fis-3194	292	129	constituents	constituent	NOUN
fis-3194	292	130	of	of	ADP
fis-3194	292	131	lightweight	lightweight	ADJ
fis-3194	292	132	concrete	concrete	ADJ
fis-3194	292	133	composite	composite	NOUN
fis-3194	292	134	[	[	X
fis-3194	292	135	33	33	NUM
fis-3194	292	136	]	]	PUNCT
fis-3194	292	137	.	.	PUNCT
fis-3194	293	1	figure	figure	NOUN
fis-3194	293	2	8	8	NUM
fis-3194	293	3	:	:	PUNCT
fis-3194	293	4	variation	variation	NOUN
fis-3194	293	5	of	of	ADP
fis-3194	293	6	the	the	DET
fis-3194	293	7	equivalent	equivalent	ADJ
fis-3194	293	8	young	young	NOUN
fis-3194	293	9	's	's	PART
fis-3194	293	10	modulus	modulus	NOUN
fis-3194	293	11	as	as	ADP
fis-3194	293	12	a	a	DET
fis-3194	293	13	function	function	NOUN
fis-3194	293	14	of	of	ADP
fis-3194	293	15	the	the	DET
fis-3194	293	16	percentage	percentage	NOUN
fis-3194	293	17	of	of	ADP
fis-3194	293	18	aggregates	aggregate	NOUN
fis-3194	293	19	.	.	PUNCT
fis-3194	294	1	we	we	PRON
fis-3194	294	2	notice	notice	VERB
fis-3194	294	3	in	in	ADP
fis-3194	294	4	fig	fig	NOUN
fis-3194	294	5	.	.	PUNCT
fis-3194	294	6	8	8	NUM
fis-3194	294	7	that	that	SCONJ
fis-3194	294	8	the	the	DET
fis-3194	294	9	equivalent	equivalent	ADJ
fis-3194	294	10	young	young	NOUN
fis-3194	294	11	's	's	PART
fis-3194	294	12	modulus	modulus	ADJ
fis-3194	294	13	values	value	NOUN
fis-3194	294	14	found	find	VERB
fis-3194	294	15	by	by	ADP
fis-3194	294	16	the	the	DET
fis-3194	294	17	semi	semi	ADJ
fis-3194	294	18	-	-	ADJ
fis-3194	294	19	analytical	analytical	ADJ
fis-3194	294	20	homogenization	homogenization	NOUN
fis-3194	294	21	method	method	NOUN
fis-3194	294	22	(	(	PUNCT
fis-3194	294	23	mori	mori	NOUN
fis-3194	294	24	-	-	PUNCT
fis-3194	294	25	tanaka	tanaka	PROPN
fis-3194	294	26	model	model	PROPN
fis-3194	294	27	)	)	PUNCT
fis-3194	294	28	are	be	AUX
fis-3194	294	29	close	close	ADJ
fis-3194	294	30	to	to	ADP
fis-3194	294	31	the	the	DET
fis-3194	294	32	experimental	experimental	ADJ
fis-3194	294	33	values	value	NOUN
fis-3194	294	34	(	(	PUNCT
fis-3194	294	35	experimental	experimental	ADJ
fis-3194	294	36	)	)	PUNCT
fis-3194	295	1	[	[	X
fis-3194	295	2	33	33	NUM
fis-3194	295	3	]	]	PUNCT
fis-3194	295	4	,	,	PUNCT
fis-3194	295	5	and	and	CCONJ
fis-3194	295	6	that	that	SCONJ
fis-3194	295	7	for	for	ADP
fis-3194	295	8	very	very	ADV
fis-3194	295	9	low	low	ADJ
fis-3194	295	10	volume	volume	NOUN
fis-3194	295	11	fractions	fraction	NOUN
fis-3194	295	12	(	(	PUNCT
fis-3194	295	13	less	less	ADJ
fis-3194	295	14	than	than	ADP
fis-3194	295	15	15	15	NUM
fis-3194	295	16	%	%	NOUN
fis-3194	295	17	)	)	PUNCT
fis-3194	295	18	.	.	PUNCT
fis-3194	296	1	on	on	ADP
fis-3194	296	2	the	the	DET
fis-3194	296	3	other	other	ADJ
fis-3194	296	4	hand	hand	NOUN
fis-3194	296	5	,	,	PUNCT
fis-3194	296	6	the	the	DET
fis-3194	296	7	periodic	periodic	ADJ
fis-3194	296	8	homogenization	homogenization	NOUN
fis-3194	296	9	model	model	NOUN
fis-3194	296	10	(	(	PUNCT
fis-3194	296	11	numerical	numerical	ADJ
fis-3194	296	12	model	model	NOUN
fis-3194	296	13	)	)	PUNCT
fis-3194	296	14	gives	give	VERB
fis-3194	296	15	good	good	ADJ
fis-3194	296	16	results	result	NOUN
fis-3194	296	17	,	,	PUNCT
fis-3194	296	18	which	which	PRON
fis-3194	296	19	approach	approach	VERB
fis-3194	296	20	the	the	DET
fis-3194	296	21	experiment	experiment	NOUN
fis-3194	296	22	allowing	allow	VERB
fis-3194	296	23	a	a	DET
fis-3194	296	24	better	well	ADJ
fis-3194	296	25	prediction	prediction	NOUN
fis-3194	296	26	of	of	ADP
fis-3194	296	27	the	the	DET
fis-3194	296	28	elastic	elastic	ADJ
fis-3194	296	29	characteristics	characteristic	NOUN
fis-3194	296	30	,	,	PUNCT
fis-3194	296	31	and	and	CCONJ
fis-3194	296	32	that	that	SCONJ
fis-3194	296	33	for	for	ADP
fis-3194	296	34	different	different	ADJ
fis-3194	296	35	volume	volume	NOUN
fis-3194	296	36	fractions	fraction	NOUN
fis-3194	296	37	.	.	PUNCT
fis-3194	297	1	cementitious	cementitious	ADJ
fis-3194	297	2	composite	composite	NOUN
fis-3194	297	3	with	with	ADP
fis-3194	297	4	grains	grain	NOUN
fis-3194	297	5	of	of	ADP
fis-3194	297	6	sand	sand	NOUN
fis-3194	297	7	in	in	ADP
fis-3194	297	8	this	this	DET
fis-3194	297	9	example	example	NOUN
fis-3194	297	10	,	,	PUNCT
fis-3194	297	11	the	the	DET
fis-3194	297	12	heterogeneous	heterogeneous	ADJ
fis-3194	297	13	material	material	NOUN
fis-3194	297	14	consists	consist	VERB
fis-3194	297	15	of	of	ADP
fis-3194	297	16	a	a	DET
fis-3194	297	17	matrix	matrix	NOUN
fis-3194	297	18	and	and	CCONJ
fis-3194	297	19	the	the	DET
fis-3194	297	20	spheroidal	spheroidal	NOUN
fis-3194	297	21	inclusions	inclusion	NOUN
fis-3194	297	22	shown	show	VERB
fis-3194	297	23	in	in	ADP
fis-3194	297	24	fig	fig	NOUN
fis-3194	297	25	.	.	PUNCT
fis-3194	298	1	9	9	X
fis-3194	298	2	.	.	X
fis-3194	298	3	the	the	DET
fis-3194	298	4	elastic	elastic	ADJ
fis-3194	298	5	properties	property	NOUN
fis-3194	298	6	of	of	ADP
fis-3194	298	7	the	the	DET
fis-3194	298	8	constituents	constituent	NOUN
fis-3194	298	9	of	of	ADP
fis-3194	298	10	composite	composite	NOUN
fis-3194	298	11	are	be	AUX
fis-3194	298	12	presented	present	VERB
fis-3194	298	13	in	in	ADP
fis-3194	298	14	tab	tab	NOUN
fis-3194	298	15	.	.	PUNCT
fis-3194	299	1	2	2	X
fis-3194	299	2	.	.	X
fis-3194	299	3	lightweight	lightweight	ADJ
fis-3194	299	4	concrete	concrete	ADJ
fis-3194	299	5	young	young	PROPN
fis-3194	299	6	's	's	PART
fis-3194	299	7	modulus	modulus	NOUN
fis-3194	299	8	(	(	PUNCT
fis-3194	299	9	mpa	mpa	PROPN
fis-3194	299	10	)	)	PUNCT
fis-3194	299	11	poisson	poisson	NOUN
fis-3194	299	12	coefficient	coefficient	NOUN
fis-3194	299	13	matrix	matrix	NOUN
fis-3194	299	14	(	(	PUNCT
fis-3194	299	15	cement	cement	NOUN
fis-3194	299	16	paste	paste	NOUN
fis-3194	299	17	)	)	PUNCT
fis-3194	299	18	7000	7000	NUM
fis-3194	299	19	0.25	0.25	NUM
fis-3194	299	20	inclusion	inclusion	NOUN
fis-3194	299	21	(	(	PUNCT
fis-3194	299	22	sand	sand	NOUN
fis-3194	299	23	)	)	PUNCT
fis-3194	299	24	107000	107000	NUM
fis-3194	299	25	0.15	0.15	NUM
fis-3194	299	26	table	table	NOUN
fis-3194	299	27	2	2	NUM
fis-3194	299	28	:	:	PUNCT
fis-3194	299	29	the	the	DET
fis-3194	299	30	elastic	elastic	ADJ
fis-3194	299	31	properties	property	NOUN
fis-3194	299	32	of	of	ADP
fis-3194	299	33	the	the	DET
fis-3194	299	34	constituents	constituent	NOUN
fis-3194	299	35	of	of	ADP
fis-3194	299	36	sand	sand	NOUN
fis-3194	299	37	mortar	mortar	NOUN
fis-3194	299	38	composite	composite	NOUN
fis-3194	299	39	[	[	X
fis-3194	299	40	34	34	NUM
fis-3194	299	41	]	]	PUNCT
fis-3194	299	42	.	.	PUNCT
fis-3194	300	1	the	the	DET
fis-3194	300	2	elastic	elastic	ADJ
fis-3194	300	3	modulus	modulus	NOUN
fis-3194	300	4	of	of	ADP
fis-3194	300	5	sand	sand	NOUN
fis-3194	300	6	grains	grain	NOUN
fis-3194	300	7	[	[	X
fis-3194	300	8	34	34	NUM
fis-3194	300	9	]	]	PUNCT
fis-3194	300	10	was	be	AUX
fis-3194	300	11	taken	take	VERB
fis-3194	300	12	to	to	PART
fis-3194	300	13	be	be	AUX
fis-3194	300	14	equal	equal	ADJ
fis-3194	300	15	to	to	ADP
fis-3194	300	16	that	that	PRON
fis-3194	300	17	of	of	ADP
fis-3194	300	18	the	the	DET
fis-3194	300	19	siliceous	siliceous	ADJ
fis-3194	300	20	aggregates	aggregate	NOUN
fis-3194	300	21	,	,	PUNCT
fis-3194	300	22	ie	ie	PROPN
fis-3194	300	23	107000	107000	NUM
fis-3194	300	24	mpa	mpa	NOUN
fis-3194	300	25	,	,	PUNCT
fis-3194	300	26	the	the	DET
fis-3194	300	27	poisson	poisson	NOUN
fis-3194	300	28	's	's	PART
fis-3194	300	29	ratio	ratio	NOUN
fis-3194	300	30	was	be	AUX
fis-3194	300	31	taken	take	VERB
fis-3194	300	32	to	to	PART
fis-3194	300	33	be	be	AUX
fis-3194	300	34	0.15	0.15	NUM
fis-3194	300	35	.	.	PUNCT
fis-3194	301	1	measurement	measurement	NOUN
fis-3194	301	2	of	of	ADP
fis-3194	301	3	the	the	DET
fis-3194	301	4	elastic	elastic	ADJ
fis-3194	301	5	modulus	modulus	NOUN
fis-3194	301	6	of	of	ADP
fis-3194	301	7	cement	cement	NOUN
fis-3194	301	8	paste	paste	NOUN
fis-3194	301	9	gave	give	VERB
fis-3194	301	10	6000	6000	NUM
fis-3194	301	11	mpa	mpa	NOUN
fis-3194	301	12	.	.	PUNCT
fis-3194	302	1	to	to	PART
fis-3194	302	2	improve	improve	VERB
fis-3194	302	3	the	the	DET
fis-3194	302	4	calibration	calibration	NOUN
fis-3194	302	5	of	of	ADP
fis-3194	302	6	the	the	DET
fis-3194	302	7	curve	curve	NOUN
fis-3194	302	8	between	between	ADP
fis-3194	302	9	modulus	modulus	NOUN
fis-3194	302	10	and	and	CCONJ
fis-3194	302	11	volume	volume	NOUN
fis-3194	302	12	of	of	ADP
fis-3194	302	13	sand	sand	NOUN
fis-3194	302	14	[	[	X
fis-3194	302	15	34	34	NUM
fis-3194	302	16	]	]	PUNCT
fis-3194	302	17	,	,	PUNCT
fis-3194	302	18	it	it	PRON
fis-3194	302	19	was	be	AUX
fis-3194	302	20	taken	take	VERB
fis-3194	302	21	equal	equal	ADJ
fis-3194	302	22	to	to	ADP
fis-3194	302	23	7000	7000	NUM
fis-3194	302	24	mpa	mpa	NOUN
fis-3194	302	25	.	.	PUNCT
fis-3194	303	1	the	the	DET
fis-3194	303	2	poisson	poisson	NOUN
fis-3194	303	3	's	's	PART
fis-3194	303	4	ratio	ratio	NOUN
fis-3194	303	5	was	be	AUX
fis-3194	303	6	taken	take	VERB
fis-3194	303	7	equal	equal	ADJ
fis-3194	303	8	to	to	ADP
fis-3194	303	9	0.25	0.25	NUM
fis-3194	303	10	.	.	PUNCT
fis-3194	304	1	the	the	DET
fis-3194	304	2	width	width	NOUN
fis-3194	304	3	of	of	ADP
fis-3194	304	4	the	the	DET
fis-3194	304	5	rve	rve	PROPN
fis-3194	304	6	is	be	AUX
fis-3194	304	7	taken	take	VERB
fis-3194	304	8	on	on	ADP
fis-3194	304	9	the	the	DET
fis-3194	304	10	order	order	NOUN
fis-3194	304	11	of	of	ADP
fis-3194	304	12	the	the	DET
fis-3194	304	13	diameter	diameter	NOUN
fis-3194	304	14	of	of	ADP
fis-3194	304	15	median	median	ADJ
fis-3194	304	16	grain	grain	NOUN
fis-3194	304	17	of	of	ADP
fis-3194	304	18	sand	sand	NOUN
fis-3194	304	19	(	(	PUNCT
fis-3194	304	20	0.02	0.02	NUM
fis-3194	304	21	mm	mm	NOUN
fis-3194	304	22	)	)	PUNCT
fis-3194	305	1	[	[	X
fis-3194	305	2	34	34	NUM
fis-3194	305	3	]	]	PUNCT
fis-3194	305	4	.	.	PUNCT
fis-3194	306	1	the	the	DET
fis-3194	306	2	rve	rve	PROPN
fis-3194	306	3	used	use	VERB
fis-3194	306	4	in	in	ADP
fis-3194	306	5	this	this	DET
fis-3194	306	6	example	example	NOUN
fis-3194	306	7	is	be	AUX
fis-3194	306	8	generated	generate	VERB
fis-3194	306	9	by	by	ADP
fis-3194	306	10	a	a	DET
fis-3194	306	11	random	random	ADJ
fis-3194	306	12	object	object	NOUN
fis-3194	306	13	modeler	modeler	NOUN
fis-3194	306	14	,	,	PUNCT
fis-3194	306	15	and	and	CCONJ
fis-3194	306	16	this	this	PRON
fis-3194	306	17	with	with	ADP
fis-3194	306	18	a	a	DET
fis-3194	306	19	random	random	ADJ
fis-3194	306	20	distribution	distribution	NOUN
fis-3194	306	21	of	of	ADP
fis-3194	306	22	spheroidal	spheroidal	NOUN
fis-3194	306	23	inclusions	inclusion	NOUN
fis-3194	306	24	(	(	PUNCT
fis-3194	306	25	with	with	ADP
fis-3194	306	26	a	a	DET
fis-3194	306	27	number	number	NOUN
fis-3194	306	28	of	of	ADP
fis-3194	306	29	10	10	NUM
fis-3194	306	30	inclusions	inclusion	NOUN
fis-3194	306	31	in	in	ADP
fis-3194	306	32	the	the	DET
fis-3194	306	33	rve	rve	PROPN
fis-3194	306	34	)	)	PUNCT
fis-3194	306	35	,	,	PUNCT
fis-3194	306	36	and	and	CCONJ
fis-3194	306	37	with	with	ADP
fis-3194	306	38	different	different	ADJ
fis-3194	306	39	volume	volume	NOUN
fis-3194	306	40	fractions	fraction	NOUN
fis-3194	306	41	.	.	PUNCT
fis-3194	307	1	the	the	DET
fis-3194	307	2	inclusions	inclusion	NOUN
fis-3194	307	3	of	of	ADP
fis-3194	307	4	the	the	DET
fis-3194	307	5	rve	rve	PROPN
fis-3194	307	6	are	be	AUX
fis-3194	307	7	generated	generate	VERB
fis-3194	307	8	randomly	randomly	ADV
fis-3194	307	9	,	,	PUNCT
fis-3194	307	10	based	base	VERB
fis-3194	307	11	on	on	ADP
fis-3194	307	12	a	a	DET
fis-3194	307	13	sphere	sphere	NOUN
fis-3194	307	14	pattern	pattern	NOUN
fis-3194	307	15	.	.	PUNCT
fis-3194	308	1	once	once	ADV
fis-3194	308	2	the	the	DET
fis-3194	308	3	random	random	ADJ
fis-3194	308	4	generation	generation	NOUN
fis-3194	308	5	of	of	ADP
fis-3194	308	6	the	the	DET
fis-3194	308	7	inclusions	inclusion	NOUN
fis-3194	308	8	of	of	ADP
fis-3194	308	9	rve	rve	PROPN
fis-3194	308	10	is	be	AUX
fis-3194	308	11	carried	carry	VERB
fis-3194	308	12	out	out	ADP
fis-3194	308	13	,	,	PUNCT
fis-3194	308	14	we	we	PRON
fis-3194	308	15	will	will	AUX
fis-3194	308	16	integrate	integrate	VERB
fis-3194	308	17	it	it	PRON
fis-3194	308	18	into	into	ADP
fis-3194	308	19	the	the	DET
fis-3194	308	20	abaqus	abaqus	PROPN
fis-3194	308	21	calculation	calculation	NOUN
fis-3194	308	22	code	code	NOUN
fis-3194	308	23	.	.	PUNCT
fis-3194	309	1	the	the	DET
fis-3194	309	2	size	size	NOUN
fis-3194	309	3	of	of	ADP
fis-3194	309	4	the	the	DET
fis-3194	309	5	rve	rve	PROPN
fis-3194	309	6	does	do	AUX
fis-3194	309	7	not	not	PART
fis-3194	309	8	change	change	VERB
fis-3194	309	9	,	,	PUNCT
fis-3194	309	10	only	only	ADV
fis-3194	309	11	the	the	DET
fis-3194	309	12	volume	volume	NOUN
fis-3194	309	13	fraction	fraction	PROPN
fis-3194	309	14	k.	k.	PROPN
fis-3194	309	15	benyahi	benyahi	PROPN
fis-3194	309	16	et	et	PROPN
fis-3194	309	17	alii	alii	PROPN
fis-3194	309	18	,	,	PUNCT
fis-3194	309	19	frattura	frattura	PROPN
fis-3194	309	20	ed	ed	PROPN
fis-3194	309	21	integrità	integrità	PROPN
fis-3194	309	22	strutturale	strutturale	PROPN
fis-3194	309	23	,	,	PUNCT
fis-3194	309	24	58	58	NUM
fis-3194	309	25	(	(	PUNCT
fis-3194	309	26	2021	2021	NUM
fis-3194	309	27	)	)	PUNCT
fis-3194	309	28	319	319	NUM
fis-3194	309	29	-	-	SYM
fis-3194	309	30	343	343	NUM
fis-3194	309	31	;	;	PUNCT
fis-3194	309	32	doi	doi	NOUN
fis-3194	309	33	:	:	PUNCT
fis-3194	309	34	10.3221	10.3221	NUM
fis-3194	309	35	/	/	SYM
fis-3194	309	36	igf	igf	PROPN
fis-3194	309	37	-	-	PUNCT
fis-3194	309	38	esis.58.24	esis.58.24	PROPN
fis-3194	309	39	333	333	NUM
fis-3194	309	40	which	which	PRON
fis-3194	309	41	evolves	evolve	VERB
fis-3194	309	42	.	.	PUNCT
fis-3194	310	1	the	the	DET
fis-3194	310	2	objective	objective	NOUN
fis-3194	310	3	of	of	ADP
fis-3194	310	4	this	this	DET
fis-3194	310	5	study	study	NOUN
fis-3194	310	6	is	be	AUX
fis-3194	310	7	to	to	PART
fis-3194	310	8	determine	determine	VERB
fis-3194	310	9	the	the	DET
fis-3194	310	10	effective	effective	ADJ
fis-3194	310	11	behavior	behavior	NOUN
fis-3194	310	12	of	of	ADP
fis-3194	310	13	a	a	DET
fis-3194	310	14	composite	composite	ADJ
fis-3194	310	15	(	(	PUNCT
fis-3194	310	16	matrix	matrix	NOUN
fis-3194	310	17	inclusion	inclusion	NOUN
fis-3194	310	18	of	of	ADP
fis-3194	310	19	spheroidal	spheroidal	NOUN
fis-3194	310	20	shape	shape	NOUN
fis-3194	310	21	)	)	PUNCT
fis-3194	310	22	.	.	PUNCT
fis-3194	311	1	a	a	DET
fis-3194	311	2	comparison	comparison	NOUN
fis-3194	311	3	of	of	ADP
fis-3194	311	4	the	the	DET
fis-3194	311	5	mechanical	mechanical	ADJ
fis-3194	311	6	characteristics	characteristic	NOUN
fis-3194	311	7	between	between	ADP
fis-3194	311	8	the	the	DET
fis-3194	311	9	semi	semi	ADJ
fis-3194	311	10	-	-	ADJ
fis-3194	311	11	analytical	analytical	ADJ
fis-3194	311	12	homogenization	homogenization	NOUN
fis-3194	311	13	model	model	NOUN
fis-3194	311	14	(	(	PUNCT
fis-3194	311	15	mori	mori	NOUN
fis-3194	311	16	-	-	PUNCT
fis-3194	311	17	tanaka	tanaka	PROPN
fis-3194	311	18	model	model	PROPN
fis-3194	311	19	)	)	PUNCT
fis-3194	311	20	,	,	PUNCT
fis-3194	311	21	the	the	DET
fis-3194	311	22	periodic	periodic	ADJ
fis-3194	311	23	homogenization	homogenization	NOUN
fis-3194	311	24	model	model	NOUN
fis-3194	311	25	(	(	PUNCT
fis-3194	311	26	numerical	numerical	ADJ
fis-3194	311	27	model	model	NOUN
fis-3194	311	28	)	)	PUNCT
fis-3194	311	29	and	and	CCONJ
fis-3194	311	30	the	the	DET
fis-3194	311	31	experimental	experimental	ADJ
fis-3194	311	32	measurements	measurement	NOUN
fis-3194	311	33	[	[	X
fis-3194	311	34	34	34	NUM
fis-3194	311	35	]	]	PUNCT
fis-3194	311	36	is	be	AUX
fis-3194	311	37	shown	show	VERB
fis-3194	311	38	in	in	ADP
fis-3194	311	39	fig	fig	NOUN
fis-3194	311	40	.	.	PUNCT
fis-3194	312	1	10	10	NUM
fis-3194	312	2	.	.	PUNCT
fis-3194	312	3	figure	figure	VERB
fis-3194	312	4	9	9	NUM
fis-3194	312	5	:	:	PUNCT
fis-3194	312	6	modeling	modeling	NOUN
fis-3194	312	7	of	of	ADP
fis-3194	312	8	the	the	DET
fis-3194	312	9	material	material	NOUN
fis-3194	312	10	with	with	ADP
fis-3194	312	11	spheroidal	spheroidal	NOUN
fis-3194	312	12	inclusions	inclusion	NOUN
fis-3194	312	13	on	on	ADP
fis-3194	312	14	the	the	DET
fis-3194	312	15	abaqus	abaqus	PROPN
fis-3194	312	16	calculation	calculation	NOUN
fis-3194	312	17	code	code	PROPN
fis-3194	312	18	.	.	PUNCT
fis-3194	313	1	figure	figure	NOUN
fis-3194	313	2	10	10	NUM
fis-3194	313	3	:	:	PUNCT
fis-3194	313	4	elastic	elastic	ADJ
fis-3194	313	5	modulus	modulus	NOUN
fis-3194	313	6	of	of	ADP
fis-3194	313	7	sand	sand	NOUN
fis-3194	313	8	mortars	mortar	NOUN
fis-3194	313	9	.	.	PUNCT
fis-3194	314	1	this	this	PRON
fis-3194	314	2	involves	involve	VERB
fis-3194	314	3	comparing	compare	VERB
fis-3194	314	4	the	the	DET
fis-3194	314	5	results	result	NOUN
fis-3194	314	6	obtained	obtain	VERB
fis-3194	314	7	by	by	ADP
fis-3194	314	8	the	the	DET
fis-3194	314	9	semi	semi	ADJ
fis-3194	314	10	-	-	ADJ
fis-3194	314	11	analytical	analytical	ADJ
fis-3194	314	12	homogenization	homogenization	NOUN
fis-3194	314	13	model	model	NOUN
fis-3194	314	14	(	(	PUNCT
fis-3194	314	15	mori	mori	NOUN
fis-3194	314	16	-	-	PUNCT
fis-3194	314	17	tanaka	tanaka	PROPN
fis-3194	314	18	model	model	PROPN
fis-3194	314	19	)	)	PUNCT
fis-3194	314	20	,	,	PUNCT
fis-3194	314	21	and	and	CCONJ
fis-3194	314	22	by	by	ADP
fis-3194	314	23	the	the	DET
fis-3194	314	24	periodic	periodic	ADJ
fis-3194	314	25	homogenization	homogenization	NOUN
fis-3194	314	26	method	method	NOUN
fis-3194	314	27	(	(	PUNCT
fis-3194	314	28	numerical	numerical	ADJ
fis-3194	314	29	model	model	NOUN
fis-3194	314	30	)	)	PUNCT
fis-3194	314	31	with	with	ADP
fis-3194	314	32	the	the	DET
fis-3194	314	33	experimental	experimental	ADJ
fis-3194	314	34	results	result	NOUN
fis-3194	314	35	(	(	PUNCT
fis-3194	314	36	experimental	experimental	ADJ
fis-3194	314	37	)	)	PUNCT
fis-3194	315	1	[	[	X
fis-3194	315	2	34	34	NUM
fis-3194	315	3	]	]	PUNCT
fis-3194	315	4	.	.	PUNCT
fis-3194	316	1	the	the	DET
fis-3194	316	2	elastic	elastic	ADJ
fis-3194	316	3	properties	property	NOUN
fis-3194	316	4	of	of	ADP
fis-3194	316	5	isotropic	isotropic	ADJ
fis-3194	316	6	materials	material	NOUN
fis-3194	316	7	(	(	PUNCT
fis-3194	316	8	of	of	ADP
fis-3194	316	9	the	the	DET
fis-3194	316	10	cement	cement	NOUN
fis-3194	316	11	matrix	matrix	NOUN
fis-3194	316	12	and	and	CCONJ
fis-3194	316	13	those	those	PRON
fis-3194	316	14	of	of	ADP
fis-3194	316	15	the	the	DET
fis-3194	316	16	sand	sand	NOUN
fis-3194	316	17	)	)	PUNCT
fis-3194	316	18	are	be	AUX
fis-3194	316	19	average	average	ADJ
fis-3194	316	20	values	value	NOUN
fis-3194	316	21	,	,	PUNCT
fis-3194	316	22	and	and	CCONJ
fis-3194	316	23	they	they	PRON
fis-3194	316	24	are	be	AUX
fis-3194	316	25	obtained	obtain	VERB
fis-3194	316	26	for	for	ADP
fis-3194	316	27	different	different	ADJ
fis-3194	316	28	volume	volume	NOUN
fis-3194	316	29	fractions	fraction	NOUN
fis-3194	316	30	of	of	ADP
fis-3194	316	31	spheroidal	spheroidal	NOUN
fis-3194	316	32	shaped	shape	VERB
fis-3194	316	33	aggregates	aggregate	NOUN
fis-3194	316	34	.	.	PUNCT
fis-3194	317	1	we	we	PRON
fis-3194	317	2	note	note	VERB
fis-3194	317	3	that	that	SCONJ
fis-3194	317	4	the	the	DET
fis-3194	317	5	estimations	estimation	NOUN
fis-3194	317	6	of	of	ADP
fis-3194	317	7	the	the	DET
fis-3194	317	8	semi	semi	ADJ
fis-3194	317	9	-	-	ADJ
fis-3194	317	10	analytical	analytical	ADJ
fis-3194	317	11	homogenization	homogenization	NOUN
fis-3194	317	12	model	model	NOUN
fis-3194	317	13	(	(	PUNCT
fis-3194	317	14	mori	mori	NOUN
fis-3194	317	15	-	-	PUNCT
fis-3194	317	16	tanaka	tanaka	PROPN
fis-3194	317	17	model	model	PROPN
fis-3194	317	18	)	)	PUNCT
fis-3194	317	19	,	,	PUNCT
fis-3194	317	20	the	the	DET
fis-3194	317	21	results	result	NOUN
fis-3194	317	22	obtained	obtain	VERB
fis-3194	317	23	by	by	ADP
fis-3194	317	24	the	the	DET
fis-3194	317	25	periodic	periodic	ADJ
fis-3194	317	26	homogenization	homogenization	NOUN
fis-3194	317	27	method	method	NOUN
fis-3194	317	28	(	(	PUNCT
fis-3194	317	29	numerical	numerical	ADJ
fis-3194	317	30	model	model	NOUN
fis-3194	317	31	)	)	PUNCT
fis-3194	317	32	,	,	PUNCT
fis-3194	317	33	and	and	CCONJ
fis-3194	317	34	the	the	DET
fis-3194	317	35	results	result	NOUN
fis-3194	317	36	from	from	ADP
fis-3194	317	37	the	the	DET
fis-3194	317	38	experiment	experiment	NOUN
fis-3194	317	39	(	(	PUNCT
fis-3194	317	40	experimental	experimental	ADJ
fis-3194	317	41	)	)	PUNCT
fis-3194	317	42	are	be	AUX
fis-3194	317	43	quite	quite	ADV
fis-3194	317	44	similar	similar	ADJ
fis-3194	317	45	,	,	PUNCT
fis-3194	317	46	and	and	CCONJ
fis-3194	317	47	this	this	PRON
fis-3194	317	48	for	for	ADP
fis-3194	317	49	different	different	ADJ
fis-3194	317	50	volume	volume	NOUN
fis-3194	317	51	fractions	fraction	NOUN
fis-3194	317	52	.	.	PUNCT
fis-3194	318	1	estimation	estimation	NOUN
fis-3194	318	2	of	of	ADP
fis-3194	318	3	the	the	DET
fis-3194	318	4	mechanical	mechanical	ADJ
fis-3194	318	5	characteristics	characteristic	NOUN
fis-3194	318	6	and	and	CCONJ
fis-3194	318	7	taking	take	VERB
fis-3194	318	8	into	into	ADP
fis-3194	318	9	account	account	NOUN
fis-3194	318	10	the	the	DET
fis-3194	318	11	damage	damage	NOUN
fis-3194	318	12	of	of	ADP
fis-3194	318	13	an	an	DET
fis-3194	318	14	inclusion	inclusion	NOUN
fis-3194	318	15	composite	composite	NOUN
fis-3194	318	16	n	n	CCONJ
fis-3194	318	17	this	this	DET
fis-3194	318	18	paragraph	paragraph	NOUN
fis-3194	318	19	,	,	PUNCT
fis-3194	318	20	we	we	PRON
fis-3194	318	21	will	will	AUX
fis-3194	318	22	deal	deal	VERB
fis-3194	318	23	with	with	ADP
fis-3194	318	24	several	several	ADJ
fis-3194	318	25	examples	example	NOUN
fis-3194	318	26	in	in	ADP
fis-3194	318	27	order	order	NOUN
fis-3194	318	28	to	to	PART
fis-3194	318	29	validate	validate	VERB
fis-3194	318	30	the	the	DET
fis-3194	318	31	periodic	periodic	ADJ
fis-3194	318	32	homogenization	homogenization	NOUN
fis-3194	318	33	model	model	NOUN
fis-3194	318	34	,	,	PUNCT
fis-3194	318	35	and	and	CCONJ
fis-3194	318	36	this	this	PRON
fis-3194	318	37	by	by	ADP
fis-3194	318	38	varying	vary	VERB
fis-3194	318	39	the	the	DET
fis-3194	318	40	percentage	percentage	NOUN
fis-3194	318	41	and	and	CCONJ
fis-3194	318	42	shape	shape	NOUN
fis-3194	318	43	of	of	ADP
fis-3194	318	44	inclusions	inclusion	NOUN
fis-3194	318	45	for	for	ADP
fis-3194	318	46	rve	rve	PROPN
fis-3194	318	47	of	of	ADP
fis-3194	318	48	composite	composite	ADJ
fis-3194	318	49	materials	material	NOUN
fis-3194	318	50	.	.	PUNCT
fis-3194	319	1	in	in	ADP
fis-3194	319	2	this	this	DET
fis-3194	319	3	study	study	NOUN
fis-3194	319	4	,	,	PUNCT
fis-3194	319	5	we	we	PRON
fis-3194	319	6	will	will	AUX
fis-3194	319	7	compare	compare	VERB
fis-3194	319	8	the	the	DET
fis-3194	319	9	results	result	NOUN
fis-3194	319	10	of	of	ADP
fis-3194	319	11	our	our	PRON
fis-3194	319	12	modeling	modeling	NOUN
fis-3194	319	13	by	by	ADP
fis-3194	319	14	the	the	DET
fis-3194	319	15	periodic	periodic	ADJ
fis-3194	319	16	homogenization	homogenization	NOUN
fis-3194	319	17	method	method	NOUN
fis-3194	319	18	which	which	PRON
fis-3194	319	19	are	be	AUX
fis-3194	319	20	represented	represent	VERB
fis-3194	319	21	by	by	ADP
fis-3194	319	22	(	(	PUNCT
fis-3194	319	23	numerical	numerical	PROPN
fis-3194	320	1	i	i	PROPN
fis-3194	320	2	k.	k.	PROPN
fis-3194	320	3	benyahi	benyahi	PROPN
fis-3194	320	4	et	et	PROPN
fis-3194	320	5	alii	alii	PROPN
fis-3194	320	6	,	,	PUNCT
fis-3194	320	7	frattura	frattura	PROPN
fis-3194	320	8	ed	ed	PROPN
fis-3194	320	9	integrità	integrità	PROPN
fis-3194	320	10	strutturale	strutturale	PROPN
fis-3194	320	11	,	,	PUNCT
fis-3194	320	12	58	58	NUM
fis-3194	320	13	(	(	PUNCT
fis-3194	320	14	2021	2021	NUM
fis-3194	320	15	)	)	PUNCT
fis-3194	320	16	319	319	NUM
fis-3194	320	17	-	-	SYM
fis-3194	320	18	343	343	NUM
fis-3194	320	19	;	;	PUNCT
fis-3194	320	20	doi	doi	NOUN
fis-3194	320	21	:	:	PUNCT
fis-3194	320	22	10.3221	10.3221	NUM
fis-3194	320	23	/	/	SYM
fis-3194	320	24	igf	igf	PROPN
fis-3194	320	25	-	-	PUNCT
fis-3194	320	26	esis.58.24	esis.58.24	ADJ
fis-3194	320	27	334	334	NUM
fis-3194	320	28	homogenization	homogenization	NOUN
fis-3194	320	29	)	)	PUNCT
fis-3194	320	30	,	,	PUNCT
fis-3194	320	31	with	with	ADP
fis-3194	320	32	the	the	DET
fis-3194	320	33	results	result	NOUN
fis-3194	320	34	of	of	ADP
fis-3194	320	35	a	a	DET
fis-3194	320	36	semi	semi	ADJ
fis-3194	320	37	-	-	ADJ
fis-3194	320	38	analytical	analytical	ADJ
fis-3194	320	39	method	method	NOUN
fis-3194	320	40	(	(	PUNCT
fis-3194	320	41	mori	mori	NOUN
fis-3194	320	42	-	-	PUNCT
fis-3194	320	43	tanaka	tanaka	PROPN
fis-3194	320	44	model	model	PROPN
fis-3194	320	45	)	)	PUNCT
fis-3194	320	46	from	from	ADP
fis-3194	320	47	the	the	DET
fis-3194	320	48	work	work	NOUN
fis-3194	320	49	of	of	ADP
fis-3194	320	50	al	al	PROPN
fis-3194	320	51	kassem	kassem	PROPN
fis-3194	321	1	[	[	X
fis-3194	321	2	35	35	NUM
fis-3194	321	3	]	]	PUNCT
fis-3194	321	4	,	,	PUNCT
fis-3194	321	5	which	which	PRON
fis-3194	321	6	are	be	AUX
fis-3194	321	7	represented	represent	VERB
fis-3194	321	8	by	by	ADP
fis-3194	321	9	(	(	PUNCT
fis-3194	321	10	mori	mori	NOUN
fis-3194	321	11	-	-	PUNCT
fis-3194	321	12	tanaka	tanaka	PROPN
fis-3194	321	13	model	model	PROPN
fis-3194	321	14	)	)	PUNCT
fis-3194	321	15	.	.	PUNCT
fis-3194	322	1	once	once	ADV
fis-3194	322	2	the	the	DET
fis-3194	322	3	effective	effective	ADJ
fis-3194	322	4	mechanical	mechanical	ADJ
fis-3194	322	5	characteristics	characteristic	NOUN
fis-3194	322	6	are	be	AUX
fis-3194	322	7	assessed	assess	VERB
fis-3194	322	8	in	in	ADP
fis-3194	322	9	the	the	DET
fis-3194	322	10	absence	absence	NOUN
fis-3194	322	11	of	of	ADP
fis-3194	322	12	damage	damage	NOUN
fis-3194	322	13	,	,	PUNCT
fis-3194	322	14	then	then	ADV
fis-3194	322	15	we	we	PRON
fis-3194	322	16	introduce	introduce	VERB
fis-3194	322	17	damage	damage	NOUN
fis-3194	322	18	models	model	NOUN
fis-3194	322	19	for	for	ADP
fis-3194	322	20	the	the	DET
fis-3194	322	21	rve	rve	PROPN
fis-3194	322	22	in	in	ADP
fis-3194	322	23	composite	composite	ADJ
fis-3194	322	24	materials	material	NOUN
fis-3194	322	25	,	,	PUNCT
fis-3194	322	26	by	by	ADP
fis-3194	322	27	a	a	DET
fis-3194	322	28	subroutine	subroutine	NOUN
fis-3194	322	29	(	(	PUNCT
fis-3194	322	30	umat	umat	PROPN
fis-3194	322	31	)	)	PUNCT
fis-3194	322	32	on	on	ADP
fis-3194	322	33	the	the	DET
fis-3194	322	34	abaqus	abaqus	PROPN
fis-3194	322	35	calculation	calculation	NOUN
fis-3194	322	36	code	code	NOUN
fis-3194	322	37	.	.	PUNCT
fis-3194	323	1	determination	determination	NOUN
fis-3194	323	2	of	of	ADP
fis-3194	323	3	effective	effective	ADJ
fis-3194	323	4	mechanical	mechanical	ADJ
fis-3194	323	5	characteristics	characteristic	NOUN
fis-3194	323	6	in	in	ADP
fis-3194	323	7	this	this	DET
fis-3194	323	8	example	example	NOUN
fis-3194	323	9	the	the	DET
fis-3194	323	10	heterogeneous	heterogeneous	ADJ
fis-3194	323	11	material	material	NOUN
fis-3194	323	12	consists	consist	VERB
fis-3194	323	13	of	of	ADP
fis-3194	323	14	a	a	DET
fis-3194	323	15	matrix	matrix	NOUN
fis-3194	323	16	and	and	CCONJ
fis-3194	323	17	inclusions	inclusion	NOUN
fis-3194	323	18	.	.	PUNCT
fis-3194	324	1	the	the	DET
fis-3194	324	2	elastic	elastic	ADJ
fis-3194	324	3	properties	property	NOUN
fis-3194	324	4	of	of	ADP
fis-3194	324	5	the	the	DET
fis-3194	324	6	constituents	constituent	NOUN
fis-3194	324	7	are	be	AUX
fis-3194	324	8	presented	present	VERB
fis-3194	324	9	in	in	ADP
fis-3194	324	10	tab	tab	NOUN
fis-3194	324	11	.	.	PUNCT
fis-3194	325	1	3	3	X
fis-3194	325	2	.	.	X
fis-3194	325	3	materials	material	NOUN
fis-3194	325	4	young	young	PROPN
fis-3194	325	5	's	's	PART
fis-3194	325	6	modulus	modulus	ADJ
fis-3194	325	7	e	e	NOUN
fis-3194	325	8	(	(	PUNCT
fis-3194	325	9	mpa	mpa	PROPN
fis-3194	325	10	)	)	PUNCT
fis-3194	325	11	poisson	poisson	NOUN
fis-3194	325	12	coefficient	coefficient	NOUN
fis-3194	325	13	ν	ν	ADP
fis-3194	325	14	matrix	matrix	NOUN
fis-3194	325	15	2800	2800	NUM
fis-3194	325	16	0.35	0.35	NUM
fis-3194	325	17	inclusion	inclusion	NOUN
fis-3194	325	18	72000	72000	NUM
fis-3194	325	19	0.172	0.172	NUM
fis-3194	325	20	table	table	NOUN
fis-3194	325	21	3	3	NUM
fis-3194	325	22	:	:	PUNCT
fis-3194	325	23	the	the	DET
fis-3194	325	24	elastic	elastic	ADJ
fis-3194	325	25	properties	property	NOUN
fis-3194	325	26	of	of	ADP
fis-3194	325	27	the	the	DET
fis-3194	325	28	components	component	NOUN
fis-3194	325	29	of	of	ADP
fis-3194	325	30	composite	composite	ADJ
fis-3194	325	31	(	(	PUNCT
fis-3194	325	32	matrix	matrix	NOUN
fis-3194	325	33	-	-	PUNCT
fis-3194	325	34	inclusions	inclusion	NOUN
fis-3194	325	35	)	)	PUNCT
fis-3194	326	1	[	[	X
fis-3194	326	2	35	35	NUM
fis-3194	326	3	]	]	PUNCT
fis-3194	326	4	.	.	PUNCT
fis-3194	327	1	the	the	DET
fis-3194	327	2	representative	representative	ADJ
fis-3194	327	3	volume	volume	NOUN
fis-3194	327	4	element	element	NOUN
fis-3194	327	5	(	(	PUNCT
fis-3194	327	6	rve	rve	PROPN
fis-3194	327	7	)	)	PUNCT
fis-3194	327	8	of	of	ADP
fis-3194	327	9	the	the	DET
fis-3194	327	10	inclusion	inclusion	NOUN
fis-3194	327	11	composite	composite	NOUN
fis-3194	327	12	consists	consist	VERB
fis-3194	327	13	of	of	ADP
fis-3194	327	14	two	two	NUM
fis-3194	327	15	phases	phase	NOUN
fis-3194	327	16	:	:	PUNCT
fis-3194	327	17	the	the	DET
fis-3194	327	18	matrix	matrix	NOUN
fis-3194	327	19	and	and	CCONJ
fis-3194	327	20	the	the	DET
fis-3194	327	21	inclusion	inclusion	NOUN
fis-3194	327	22	which	which	PRON
fis-3194	327	23	follow	follow	VERB
fis-3194	327	24	an	an	DET
fis-3194	327	25	isotropic	isotropic	ADJ
fis-3194	327	26	behavior	behavior	NOUN
fis-3194	327	27	,	,	PUNCT
fis-3194	327	28	this	this	PRON
fis-3194	327	29	is	be	AUX
fis-3194	327	30	a	a	DET
fis-3194	327	31	three	three	NUM
fis-3194	327	32	-	-	PUNCT
fis-3194	327	33	dimensional	dimensional	ADJ
fis-3194	327	34	(	(	PUNCT
fis-3194	327	35	3d	3d	NOUN
fis-3194	327	36	)	)	PUNCT
fis-3194	327	37	case	case	NOUN
fis-3194	327	38	in	in	ADP
fis-3194	327	39	small	small	ADJ
fis-3194	327	40	perturbations	perturbation	NOUN
fis-3194	327	41	.	.	PUNCT
fis-3194	328	1	the	the	DET
fis-3194	328	2	matrix	matrix	NOUN
fis-3194	328	3	is	be	AUX
fis-3194	328	4	modeled	model	VERB
fis-3194	328	5	as	as	ADP
fis-3194	328	6	an	an	DET
fis-3194	328	7	elementary	elementary	ADJ
fis-3194	328	8	cube	cube	NOUN
fis-3194	328	9	and	and	CCONJ
fis-3194	328	10	the	the	DET
fis-3194	328	11	inclusion	inclusion	NOUN
fis-3194	328	12	is	be	AUX
fis-3194	328	13	modeled	model	VERB
fis-3194	328	14	in	in	ADP
fis-3194	328	15	several	several	ADJ
fis-3194	328	16	forms	form	NOUN
fis-3194	328	17	(	(	PUNCT
fis-3194	328	18	spheroidal	spheroidal	NOUN
fis-3194	328	19	,	,	PUNCT
fis-3194	328	20	ellipsoidal	ellipsoidal	ADJ
fis-3194	328	21	and	and	CCONJ
fis-3194	328	22	cylindrical	cylindrical	ADJ
fis-3194	328	23	)	)	PUNCT
fis-3194	328	24	,	,	PUNCT
fis-3194	328	25	and	and	CCONJ
fis-3194	328	26	as	as	ADP
fis-3194	328	27	rigid	rigid	ADJ
fis-3194	328	28	bodies	body	NOUN
fis-3194	328	29	.	.	PUNCT
fis-3194	329	1	the	the	DET
fis-3194	329	2	homogeneous	homogeneous	ADJ
fis-3194	329	3	boundary	boundary	ADJ
fis-3194	329	4	conditions	condition	NOUN
fis-3194	329	5	introduced	introduce	VERB
fis-3194	329	6	in	in	ADP
fis-3194	329	7	our	our	PRON
fis-3194	329	8	modeling	modeling	NOUN
fis-3194	329	9	do	do	AUX
fis-3194	329	10	not	not	PART
fis-3194	329	11	give	give	VERB
fis-3194	329	12	other	other	ADJ
fis-3194	329	13	stresses	stress	NOUN
fis-3194	329	14	than	than	ADP
fis-3194	329	15	in	in	ADP
fis-3194	329	16	the	the	DET
fis-3194	329	17	direction	direction	NOUN
fis-3194	329	18	of	of	ADP
fis-3194	329	19	perturbation	perturbation	NOUN
fis-3194	329	20	;	;	PUNCT
fis-3194	329	21	therefore	therefore	ADV
fis-3194	329	22	,	,	PUNCT
fis-3194	329	23	they	they	PRON
fis-3194	329	24	result	result	VERB
fis-3194	329	25	in	in	ADP
fis-3194	329	26	a	a	DET
fis-3194	329	27	uni	uni	ADJ
fis-3194	329	28	-	-	ADJ
fis-3194	329	29	axial	axial	ADJ
fis-3194	329	30	stress	stress	NOUN
fis-3194	329	31	state	state	NOUN
fis-3194	329	32	under	under	ADP
fis-3194	329	33	tensile	tensile	NOUN
fis-3194	329	34	loading	loading	NOUN
fis-3194	329	35	.	.	PUNCT
fis-3194	330	1	the	the	DET
fis-3194	330	2	inclusions	inclusion	NOUN
fis-3194	330	3	of	of	ADP
fis-3194	330	4	rve	rve	PROPN
fis-3194	330	5	are	be	AUX
fis-3194	330	6	generated	generate	VERB
fis-3194	330	7	at	at	ADP
fis-3194	330	8	random	random	ADJ
fis-3194	330	9	(	(	PUNCT
fis-3194	330	10	with	with	ADP
fis-3194	330	11	a	a	DET
fis-3194	330	12	number	number	NOUN
fis-3194	330	13	of	of	ADP
fis-3194	330	14	10	10	NUM
fis-3194	330	15	inclusions	inclusion	NOUN
fis-3194	330	16	in	in	ADP
fis-3194	330	17	a	a	DET
fis-3194	330	18	rve	rve	NOUN
fis-3194	330	19	)	)	PUNCT
fis-3194	330	20	,	,	PUNCT
fis-3194	330	21	based	base	VERB
fis-3194	330	22	on	on	ADP
fis-3194	330	23	a	a	DET
fis-3194	330	24	pattern	pattern	NOUN
fis-3194	330	25	of	of	ADP
fis-3194	330	26	inclusions	inclusion	NOUN
fis-3194	330	27	in	in	ADP
fis-3194	330	28	the	the	DET
fis-3194	330	29	form	form	NOUN
fis-3194	330	30	of	of	ADP
fis-3194	330	31	a	a	DET
fis-3194	330	32	sphere	sphere	NOUN
fis-3194	330	33	,	,	PUNCT
fis-3194	330	34	ellipse	ellipse	NOUN
fis-3194	330	35	and	and	CCONJ
fis-3194	330	36	cylinder	cylinder	NOUN
fis-3194	330	37	.	.	PUNCT
fis-3194	331	1	once	once	ADV
fis-3194	331	2	the	the	DET
fis-3194	331	3	random	random	ADJ
fis-3194	331	4	generation	generation	NOUN
fis-3194	331	5	of	of	ADP
fis-3194	331	6	the	the	DET
fis-3194	331	7	inclusions	inclusion	NOUN
fis-3194	331	8	of	of	ADP
fis-3194	331	9	rve	rve	PROPN
fis-3194	331	10	is	be	AUX
fis-3194	331	11	carried	carry	VERB
fis-3194	331	12	out	out	ADP
fis-3194	331	13	,	,	PUNCT
fis-3194	331	14	we	we	PRON
fis-3194	331	15	will	will	AUX
fis-3194	331	16	integrate	integrate	VERB
fis-3194	331	17	it	it	PRON
fis-3194	331	18	into	into	ADP
fis-3194	331	19	the	the	DET
fis-3194	331	20	abaqus	abaqus	PROPN
fis-3194	331	21	calculation	calculation	NOUN
fis-3194	331	22	code	code	NOUN
fis-3194	331	23	.	.	PUNCT
fis-3194	332	1	the	the	DET
fis-3194	332	2	size	size	NOUN
fis-3194	332	3	of	of	ADP
fis-3194	332	4	rve	rve	PROPN
fis-3194	332	5	does	do	AUX
fis-3194	332	6	not	not	PART
fis-3194	332	7	change	change	VERB
fis-3194	332	8	(	(	PUNCT
fis-3194	332	9	size_rve_x=	size_rve_x=	NOUN
fis-3194	332	10	size_rve_y=	size_rve_y=	ADP
fis-3194	332	11	size_rve_z=1	size_rve_z=1	NOUN
fis-3194	332	12	)	)	PUNCT
fis-3194	333	1	[	[	X
fis-3194	333	2	35	35	NUM
fis-3194	333	3	]	]	X
fis-3194	333	4	,	,	PUNCT
fis-3194	333	5	only	only	ADV
fis-3194	333	6	the	the	DET
fis-3194	333	7	volume	volume	NOUN
fis-3194	333	8	fraction	fraction	NOUN
fis-3194	333	9	which	which	PRON
fis-3194	333	10	evolves	evolve	VERB
fis-3194	333	11	.	.	PUNCT
fis-3194	334	1	the	the	DET
fis-3194	334	2	objective	objective	NOUN
fis-3194	334	3	of	of	ADP
fis-3194	334	4	this	this	DET
fis-3194	334	5	study	study	NOUN
fis-3194	334	6	is	be	AUX
fis-3194	334	7	to	to	PART
fis-3194	334	8	determine	determine	VERB
fis-3194	334	9	the	the	DET
fis-3194	334	10	effective	effective	ADJ
fis-3194	334	11	mechanical	mechanical	ADJ
fis-3194	334	12	characteristics	characteristic	NOUN
fis-3194	334	13	of	of	ADP
fis-3194	334	14	a	a	DET
fis-3194	334	15	composite	composite	ADJ
fis-3194	334	16	(	(	PUNCT
fis-3194	334	17	matrix	matrix	NOUN
fis-3194	334	18	inclusions	inclusion	NOUN
fis-3194	334	19	)	)	PUNCT
fis-3194	334	20	.	.	PUNCT
fis-3194	335	1	figure	figure	VERB
fis-3194	335	2	11	11	NUM
fis-3194	335	3	:	:	PUNCT
fis-3194	335	4	modeling	modeling	NOUN
fis-3194	335	5	of	of	ADP
fis-3194	335	6	an	an	DET
fis-3194	335	7	inclusion	inclusion	NOUN
fis-3194	335	8	composite	composite	NOUN
fis-3194	335	9	.	.	PUNCT
fis-3194	336	1	the	the	DET
fis-3194	336	2	results	result	NOUN
fis-3194	336	3	obtained	obtain	VERB
fis-3194	336	4	in	in	ADP
fis-3194	336	5	fig	fig	NOUN
fis-3194	336	6	.	.	PUNCT
fis-3194	336	7	11	11	NUM
fis-3194	336	8	,	,	PUNCT
fis-3194	336	9	show	show	VERB
fis-3194	336	10	that	that	SCONJ
fis-3194	336	11	all	all	DET
fis-3194	336	12	the	the	DET
fis-3194	336	13	principal	principal	ADJ
fis-3194	336	14	stresses	stress	NOUN
fis-3194	336	15	of	of	ADP
fis-3194	336	16	the	the	DET
fis-3194	336	17	microstructure	microstructure	NOUN
fis-3194	336	18	are	be	AUX
fis-3194	336	19	accumulated	accumulate	VERB
fis-3194	336	20	in	in	ADP
fis-3194	336	21	the	the	DET
fis-3194	336	22	x	x	NOUN
fis-3194	336	23	direction	direction	NOUN
fis-3194	336	24	,	,	PUNCT
fis-3194	336	25	or	or	CCONJ
fis-3194	336	26	at	at	ADP
fis-3194	336	27	the	the	DET
fis-3194	336	28	level	level	NOUN
fis-3194	336	29	of	of	ADP
fis-3194	336	30	the	the	DET
fis-3194	336	31	perturbation	perturbation	NOUN
fis-3194	336	32	direction	direction	NOUN
fis-3194	336	33	using	use	VERB
fis-3194	336	34	periodic	periodic	ADJ
fis-3194	336	35	boundary	boundary	ADJ
fis-3194	336	36	conditions	condition	NOUN
fis-3194	336	37	.	.	PUNCT
fis-3194	337	1	a	a	DET
fis-3194	337	2	comparison	comparison	NOUN
fis-3194	337	3	of	of	ADP
fis-3194	337	4	the	the	DET
fis-3194	337	5	effective	effective	ADJ
fis-3194	337	6	mechanical	mechanical	ADJ
fis-3194	337	7	characteristics	characteristic	NOUN
fis-3194	337	8	between	between	ADP
fis-3194	337	9	the	the	DET
fis-3194	337	10	mori	mori	NOUN
fis-3194	337	11	-	-	PUNCT
fis-3194	337	12	tanaka	tanaka	PROPN
fis-3194	337	13	estimation	estimation	NOUN
fis-3194	337	14	method	method	NOUN
fis-3194	337	15	(	(	PUNCT
fis-3194	337	16	mori	mori	NOUN
fis-3194	337	17	-	-	PUNCT
fis-3194	337	18	tanaka	tanaka	PROPN
fis-3194	337	19	model	model	NOUN
fis-3194	337	20	)	)	PUNCT
fis-3194	338	1	[	[	X
fis-3194	338	2	35	35	NUM
fis-3194	338	3	]	]	PUNCT
fis-3194	338	4	,	,	PUNCT
fis-3194	338	5	and	and	CCONJ
fis-3194	338	6	the	the	DET
fis-3194	338	7	periodic	periodic	ADJ
fis-3194	338	8	homogenization	homogenization	NOUN
fis-3194	338	9	model	model	NOUN
fis-3194	338	10	developed	develop	VERB
fis-3194	338	11	in	in	ADP
fis-3194	338	12	this	this	DET
fis-3194	338	13	study	study	NOUN
fis-3194	338	14	(	(	PUNCT
fis-3194	338	15	numerical	numerical	ADJ
fis-3194	338	16	homogenization	homogenization	NOUN
fis-3194	338	17	)	)	PUNCT
fis-3194	338	18	is	be	AUX
fis-3194	338	19	shown	show	VERB
fis-3194	338	20	below	below	ADV
fis-3194	338	21	(	(	PUNCT
fis-3194	338	22	figs	fig	NOUN
fis-3194	338	23	.	.	PUNCT
fis-3194	339	1	12	12	NUM
fis-3194	339	2	-	-	SYM
fis-3194	339	3	14	14	NUM
fis-3194	339	4	)	)	PUNCT
fis-3194	339	5	.	.	PUNCT
fis-3194	340	1	and	and	CCONJ
fis-3194	340	2	this	this	PRON
fis-3194	340	3	for	for	ADP
fis-3194	340	4	different	different	ADJ
fis-3194	340	5	volume	volume	NOUN
fis-3194	340	6	fractions	fraction	NOUN
fis-3194	340	7	of	of	ADP
fis-3194	340	8	inclusions	inclusion	NOUN
fis-3194	340	9	(	(	PUNCT
fis-3194	340	10	spheroidal	spheroidal	NOUN
fis-3194	340	11	,	,	PUNCT
fis-3194	340	12	ellipsoidal	ellipsoidal	ADJ
fis-3194	340	13	,	,	PUNCT
fis-3194	340	14	cylindrical	cylindrical	ADJ
fis-3194	340	15	)	)	PUNCT
fis-3194	340	16	.	.	PUNCT
fis-3194	341	1	this	this	PRON
fis-3194	341	2	involves	involve	VERB
fis-3194	341	3	comparing	compare	VERB
fis-3194	341	4	the	the	DET
fis-3194	341	5	numerical	numerical	ADJ
fis-3194	341	6	results	result	NOUN
fis-3194	341	7	obtained	obtain	VERB
fis-3194	341	8	by	by	ADP
fis-3194	341	9	the	the	DET
fis-3194	341	10	periodic	periodic	ADJ
fis-3194	341	11	homogenization	homogenization	NOUN
fis-3194	341	12	method	method	NOUN
fis-3194	341	13	(	(	PUNCT
fis-3194	341	14	finite	finite	PROPN
fis-3194	341	15	element	element	NOUN
fis-3194	341	16	model	model	NOUN
fis-3194	341	17	with	with	ADP
fis-3194	341	18	periodic	periodic	ADJ
fis-3194	341	19	boundary	boundary	ADJ
fis-3194	341	20	conditions	condition	NOUN
fis-3194	341	21	)	)	PUNCT
fis-3194	341	22	,	,	PUNCT
fis-3194	341	23	with	with	ADP
fis-3194	341	24	the	the	DET
fis-3194	341	25	results	result	NOUN
fis-3194	341	26	obtained	obtain	VERB
fis-3194	341	27	by	by	ADP
fis-3194	341	28	the	the	DET
fis-3194	341	29	mori	mori	PROPN
fis-3194	341	30	-	-	PUNCT
fis-3194	341	31	tanaka	tanaka	PROPN
fis-3194	341	32	model	model	NOUN
fis-3194	341	33	[	[	X
fis-3194	341	34	35	35	NUM
fis-3194	341	35	]	]	PUNCT
fis-3194	341	36	.	.	PUNCT
fis-3194	342	1	the	the	DET
fis-3194	342	2	elastic	elastic	ADJ
fis-3194	342	3	properties	property	NOUN
fis-3194	342	4	of	of	ADP
fis-3194	342	5	the	the	DET
fis-3194	342	6	materials	material	NOUN
fis-3194	342	7	(	(	PUNCT
fis-3194	342	8	of	of	ADP
fis-3194	342	9	the	the	DET
fis-3194	342	10	matrix	matrix	NOUN
fis-3194	342	11	and	and	CCONJ
fis-3194	342	12	those	those	PRON
fis-3194	342	13	of	of	ADP
fis-3194	342	14	the	the	DET
fis-3194	342	15	inclusion	inclusion	NOUN
fis-3194	342	16	)	)	PUNCT
fis-3194	342	17	are	be	AUX
fis-3194	342	18	average	average	ADJ
fis-3194	342	19	values	value	NOUN
fis-3194	342	20	,	,	PUNCT
fis-3194	342	21	and	and	CCONJ
fis-3194	342	22	they	they	PRON
fis-3194	342	23	are	be	AUX
fis-3194	342	24	obtained	obtain	VERB
fis-3194	342	25	for	for	ADP
fis-3194	342	26	different	different	ADJ
fis-3194	342	27	volume	volume	NOUN
fis-3194	342	28	fractions	fraction	NOUN
fis-3194	342	29	of	of	ADP
fis-3194	342	30	inclusions	inclusion	NOUN
fis-3194	342	31	(	(	PUNCT
fis-3194	342	32	spheroidal	spheroidal	NOUN
fis-3194	342	33	,	,	PUNCT
fis-3194	342	34	ellipsoidal	ellipsoidal	ADJ
fis-3194	342	35	,	,	PUNCT
fis-3194	342	36	cylindrical	cylindrical	ADJ
fis-3194	342	37	)	)	PUNCT
fis-3194	342	38	.	.	PUNCT
fis-3194	343	1	we	we	PRON
fis-3194	343	2	note	note	VERB
fis-3194	343	3	that	that	SCONJ
fis-3194	343	4	at	at	ADP
fis-3194	343	5	low	low	ADJ
fis-3194	343	6	volume	volume	NOUN
fis-3194	343	7	fractions	fraction	NOUN
fis-3194	343	8	,	,	PUNCT
fis-3194	343	9	we	we	PRON
fis-3194	343	10	observe	observe	VERB
fis-3194	343	11	a	a	DET
fis-3194	343	12	very	very	ADV
fis-3194	343	13	small	small	ADJ
fis-3194	343	14	difference	difference	NOUN
fis-3194	343	15	between	between	ADP
fis-3194	343	16	our	our	PRON
fis-3194	343	17	model	model	NOUN
fis-3194	343	18	(	(	PUNCT
fis-3194	343	19	numerical	numerical	ADJ
fis-3194	343	20	homogenization	homogenization	NOUN
fis-3194	343	21	)	)	PUNCT
fis-3194	343	22	,	,	PUNCT
fis-3194	343	23	and	and	CCONJ
fis-3194	343	24	the	the	DET
fis-3194	343	25	mori	mori	NOUN
fis-3194	343	26	-	-	PUNCT
fis-3194	343	27	tanaka	tanaka	PROPN
fis-3194	343	28	model	model	NOUN
fis-3194	343	29	(	(	PUNCT
fis-3194	343	30	mori	mori	NOUN
fis-3194	343	31	-	-	PUNCT
fis-3194	343	32	tanaka	tanaka	PROPN
fis-3194	343	33	model	model	NOUN
fis-3194	343	34	)	)	PUNCT
fis-3194	344	1	[	[	X
fis-3194	344	2	35	35	NUM
fis-3194	344	3	]	]	PUNCT
fis-3194	344	4	,	,	PUNCT
fis-3194	344	5	while	while	SCONJ
fis-3194	344	6	for	for	ADP
fis-3194	344	7	large	large	ADJ
fis-3194	344	8	volume	volume	NOUN
fis-3194	344	9	fractions	fraction	NOUN
fis-3194	344	10	,	,	PUNCT
fis-3194	344	11	we	we	PRON
fis-3194	344	12	observe	observe	VERB
fis-3194	344	13	a	a	DET
fis-3194	344	14	bigger	big	ADJ
fis-3194	344	15	difference	difference	NOUN
fis-3194	344	16	.	.	PUNCT
fis-3194	345	1	k.	k.	PROPN
fis-3194	345	2	benyahi	benyahi	PROPN
fis-3194	345	3	et	et	PROPN
fis-3194	345	4	alii	alii	PROPN
fis-3194	345	5	,	,	PUNCT
fis-3194	345	6	frattura	frattura	PROPN
fis-3194	345	7	ed	ed	PROPN
fis-3194	345	8	integrità	integrità	PROPN
fis-3194	345	9	strutturale	strutturale	PROPN
fis-3194	345	10	,	,	PUNCT
fis-3194	345	11	58	58	NUM
fis-3194	345	12	(	(	PUNCT
fis-3194	345	13	2021	2021	NUM
fis-3194	345	14	)	)	PUNCT
fis-3194	345	15	319	319	NUM
fis-3194	345	16	-	-	SYM
fis-3194	345	17	343	343	NUM
fis-3194	345	18	;	;	PUNCT
fis-3194	345	19	doi	doi	NOUN
fis-3194	345	20	:	:	PUNCT
fis-3194	345	21	10.3221	10.3221	NUM
fis-3194	345	22	/	/	SYM
fis-3194	345	23	igf	igf	PROPN
fis-3194	345	24	-	-	PUNCT
fis-3194	345	25	esis.58.24	esis.58.24	ADJ
fis-3194	345	26	335	335	NUM
fis-3194	345	27	figure	figure	NOUN
fis-3194	345	28	12	12	NUM
fis-3194	345	29	:	:	PUNCT
fis-3194	345	30	homogenized	homogenize	VERB
fis-3194	345	31	mechanical	mechanical	ADJ
fis-3194	345	32	characteristics	characteristic	NOUN
fis-3194	345	33	for	for	ADP
fis-3194	345	34	different	different	ADJ
fis-3194	345	35	volume	volume	NOUN
fis-3194	345	36	fractions	fraction	NOUN
fis-3194	345	37	of	of	ADP
fis-3194	345	38	spheroidal	spheroidal	NOUN
fis-3194	345	39	inclusions	inclusion	NOUN
fis-3194	345	40	.	.	PUNCT
fis-3194	346	1	figure	figure	NOUN
fis-3194	346	2	13	13	NUM
fis-3194	346	3	:	:	PUNCT
fis-3194	346	4	homogenized	homogenize	VERB
fis-3194	346	5	mechanical	mechanical	ADJ
fis-3194	346	6	characteristics	characteristic	NOUN
fis-3194	346	7	for	for	ADP
fis-3194	346	8	different	different	ADJ
fis-3194	346	9	volume	volume	NOUN
fis-3194	346	10	fractions	fraction	NOUN
fis-3194	346	11	of	of	ADP
fis-3194	346	12	ellipsoidal	ellipsoidal	ADJ
fis-3194	346	13	inclusions	inclusion	NOUN
fis-3194	346	14	.	.	PUNCT
fis-3194	347	1	k.	k.	PROPN
fis-3194	347	2	benyahi	benyahi	PROPN
fis-3194	347	3	et	et	PROPN
fis-3194	347	4	alii	alii	PROPN
fis-3194	347	5	,	,	PUNCT
fis-3194	347	6	frattura	frattura	PROPN
fis-3194	347	7	ed	ed	PROPN
fis-3194	347	8	integrità	integrità	PROPN
fis-3194	347	9	strutturale	strutturale	PROPN
fis-3194	347	10	,	,	PUNCT
fis-3194	347	11	58	58	NUM
fis-3194	347	12	(	(	PUNCT
fis-3194	347	13	2021	2021	NUM
fis-3194	347	14	)	)	PUNCT
fis-3194	347	15	319	319	NUM
fis-3194	347	16	-	-	SYM
fis-3194	347	17	343	343	NUM
fis-3194	347	18	;	;	PUNCT
fis-3194	347	19	doi	doi	NOUN
fis-3194	347	20	:	:	PUNCT
fis-3194	347	21	10.3221	10.3221	NUM
fis-3194	347	22	/	/	SYM
fis-3194	347	23	igf	igf	PROPN
fis-3194	347	24	-	-	PUNCT
fis-3194	347	25	esis.58.24	esis.58.24	ADJ
fis-3194	347	26	336	336	NUM
fis-3194	347	27	figure	figure	NOUN
fis-3194	347	28	14	14	NUM
fis-3194	347	29	:	:	PUNCT
fis-3194	347	30	homogenized	homogenize	VERB
fis-3194	347	31	mechanical	mechanical	ADJ
fis-3194	347	32	characteristics	characteristic	NOUN
fis-3194	347	33	for	for	ADP
fis-3194	347	34	different	different	ADJ
fis-3194	347	35	volume	volume	NOUN
fis-3194	347	36	fraction	fraction	NOUN
fis-3194	347	37	of	of	ADP
fis-3194	347	38	cylindrical	cylindrical	ADJ
fis-3194	347	39	inclusions	inclusion	NOUN
fis-3194	347	40	.	.	PUNCT
fis-3194	348	1	it	it	PRON
fis-3194	348	2	is	be	AUX
fis-3194	348	3	also	also	ADV
fis-3194	348	4	noted	note	VERB
fis-3194	348	5	that	that	SCONJ
fis-3194	348	6	the	the	DET
fis-3194	348	7	estimations	estimation	NOUN
fis-3194	348	8	of	of	ADP
fis-3194	348	9	the	the	DET
fis-3194	348	10	semi	semi	ADJ
fis-3194	348	11	-	-	ADJ
fis-3194	348	12	analytical	analytical	ADJ
fis-3194	348	13	model	model	NOUN
fis-3194	348	14	of	of	ADP
fis-3194	348	15	mori	mori	NOUN
fis-3194	348	16	-	-	PUNCT
fis-3194	348	17	tanaka	tanaka	PROPN
fis-3194	348	18	[	[	X
fis-3194	348	19	35	35	NUM
fis-3194	348	20	]	]	PUNCT
fis-3194	348	21	,	,	PUNCT
fis-3194	348	22	and	and	CCONJ
fis-3194	348	23	the	the	DET
fis-3194	348	24	results	result	NOUN
fis-3194	348	25	of	of	ADP
fis-3194	348	26	the	the	DET
fis-3194	348	27	periodic	periodic	ADJ
fis-3194	348	28	homogenization	homogenization	NOUN
fis-3194	348	29	method	method	NOUN
fis-3194	348	30	developed	develop	VERB
fis-3194	348	31	in	in	ADP
fis-3194	348	32	this	this	DET
fis-3194	348	33	study	study	NOUN
fis-3194	348	34	are	be	AUX
fis-3194	348	35	quite	quite	ADV
fis-3194	348	36	close	close	ADJ
fis-3194	348	37	.	.	PUNCT
fis-3194	349	1	and	and	CCONJ
fis-3194	349	2	that	that	PRON
fis-3194	349	3	for	for	ADP
fis-3194	349	4	very	very	ADV
fis-3194	349	5	low	low	ADJ
fis-3194	349	6	volume	volume	NOUN
fis-3194	349	7	fractions	fraction	NOUN
fis-3194	349	8	(	(	PUNCT
fis-3194	349	9	less	less	ADJ
fis-3194	349	10	than	than	ADP
fis-3194	349	11	15	15	NUM
fis-3194	349	12	%	%	NOUN
fis-3194	349	13	)	)	PUNCT
fis-3194	349	14	caused	cause	VERB
fis-3194	349	15	by	by	ADP
fis-3194	349	16	a	a	DET
fis-3194	349	17	weak	weak	ADJ
fis-3194	349	18	interaction	interaction	NOUN
fis-3194	349	19	between	between	ADP
fis-3194	349	20	the	the	DET
fis-3194	349	21	phases	phase	NOUN
fis-3194	349	22	.	.	PUNCT
fis-3194	350	1	on	on	ADP
fis-3194	350	2	the	the	DET
fis-3194	350	3	other	other	ADJ
fis-3194	350	4	hand	hand	NOUN
fis-3194	350	5	,	,	PUNCT
fis-3194	350	6	for	for	ADP
fis-3194	350	7	volume	volume	NOUN
fis-3194	350	8	fractions	fraction	NOUN
fis-3194	350	9	greater	great	ADJ
fis-3194	350	10	than	than	ADP
fis-3194	350	11	15	15	NUM
fis-3194	350	12	%	%	NOUN
fis-3194	350	13	,	,	PUNCT
fis-3194	350	14	the	the	DET
fis-3194	350	15	effective	effective	ADJ
fis-3194	350	16	mechanical	mechanical	ADJ
fis-3194	350	17	properties	property	NOUN
fis-3194	350	18	are	be	AUX
fis-3194	350	19	overestimated	overestimate	VERB
fis-3194	350	20	,	,	PUNCT
fis-3194	350	21	a	a	DET
fis-3194	350	22	deviation	deviation	NOUN
fis-3194	350	23	is	be	AUX
fis-3194	350	24	observed	observe	VERB
fis-3194	350	25	which	which	PRON
fis-3194	350	26	can	can	AUX
fis-3194	350	27	be	be	AUX
fis-3194	350	28	caused	cause	VERB
fis-3194	350	29	by	by	ADP
fis-3194	350	30	a	a	DET
fis-3194	350	31	phenomenon	phenomenon	NOUN
fis-3194	350	32	of	of	ADP
fis-3194	350	33	interaction	interaction	NOUN
fis-3194	350	34	between	between	ADP
fis-3194	350	35	the	the	DET
fis-3194	350	36	inclusions	inclusion	NOUN
fis-3194	350	37	.	.	PUNCT
fis-3194	351	1	we	we	PRON
fis-3194	351	2	conclude	conclude	VERB
fis-3194	351	3	,	,	PUNCT
fis-3194	351	4	that	that	SCONJ
fis-3194	351	5	the	the	DET
fis-3194	351	6	periodic	periodic	ADJ
fis-3194	351	7	homogenization	homogenization	NOUN
fis-3194	351	8	method	method	NOUN
fis-3194	351	9	(	(	PUNCT
fis-3194	351	10	pbc	pbc	PROPN
fis-3194	351	11	)	)	PUNCT
fis-3194	351	12	gives	give	VERB
fis-3194	351	13	mechanical	mechanical	ADJ
fis-3194	351	14	characteristics	characteristic	NOUN
fis-3194	351	15	more	more	ADV
fis-3194	351	16	rigid	rigid	ADJ
fis-3194	351	17	,	,	PUNCT
fis-3194	351	18	than	than	ADP
fis-3194	351	19	those	those	PRON
fis-3194	351	20	of	of	ADP
fis-3194	351	21	the	the	DET
fis-3194	351	22	semi	semi	ADJ
fis-3194	351	23	-	-	ADJ
fis-3194	351	24	analytical	analytical	ADJ
fis-3194	351	25	model	model	NOUN
fis-3194	351	26	(	(	PUNCT
fis-3194	351	27	mori	mori	NOUN
fis-3194	351	28	-	-	PUNCT
fis-3194	351	29	tanaka	tanaka	PROPN
fis-3194	351	30	model	model	PROPN
fis-3194	351	31	)	)	PUNCT
fis-3194	351	32	.	.	PUNCT
fis-3194	352	1	introduction	introduction	NOUN
fis-3194	352	2	of	of	ADP
fis-3194	352	3	damage	damage	NOUN
fis-3194	352	4	into	into	ADP
fis-3194	352	5	the	the	DET
fis-3194	352	6	problem	problem	NOUN
fis-3194	352	7	of	of	ADP
fis-3194	352	8	homogenization	homogenization	NOUN
fis-3194	352	9	we	we	PRON
fis-3194	352	10	implemented	implement	VERB
fis-3194	352	11	a	a	DET
fis-3194	352	12	mazars	mazar	NOUN
fis-3194	352	13	damage	damage	NOUN
fis-3194	352	14	model	model	NOUN
fis-3194	352	15	(	(	PUNCT
fis-3194	352	16	[	[	X
fis-3194	352	17	29	29	NUM
fis-3194	352	18	]	]	PUNCT
fis-3194	352	19	,	,	PUNCT
fis-3194	352	20	[	[	X
fis-3194	352	21	30	30	NUM
fis-3194	352	22	]	]	PUNCT
fis-3194	352	23	)	)	PUNCT
fis-3194	352	24	for	for	ADP
fis-3194	352	25	spheroidal	spheroidal	NOUN
fis-3194	352	26	and	and	CCONJ
fis-3194	352	27	ellipsoidal	ellipsoidal	ADJ
fis-3194	352	28	shaped	shaped	ADJ
fis-3194	352	29	inclusions	inclusion	NOUN
fis-3194	352	30	,	,	PUNCT
fis-3194	352	31	and	and	CCONJ
fis-3194	352	32	the	the	DET
fis-3194	352	33	model	model	NOUN
fis-3194	352	34	of	of	ADP
fis-3194	352	35	bouafia	bouafia	PROPN
fis-3194	352	36	et	et	PROPN
fis-3194	352	37	al	al	PROPN
fis-3194	352	38	.	.	PUNCT
fis-3194	353	1	(	(	PUNCT
fis-3194	353	2	[	[	X
fis-3194	353	3	31	31	NUM
fis-3194	353	4	]	]	PUNCT
fis-3194	353	5	,	,	PUNCT
fis-3194	353	6	[	[	X
fis-3194	353	7	32	32	NUM
fis-3194	353	8	]	]	PUNCT
fis-3194	353	9	)	)	PUNCT
fis-3194	353	10	for	for	ADP
fis-3194	353	11	cylindrical	cylindrical	ADJ
fis-3194	353	12	shaped	shape	VERB
fis-3194	353	13	inclusions	inclusion	NOUN
fis-3194	353	14	in	in	ADP
fis-3194	353	15	the	the	DET
fis-3194	353	16	abaqus	abaqus	PROPN
fis-3194	353	17	calculation	calculation	NOUN
fis-3194	353	18	code	code	NOUN
fis-3194	353	19	by	by	ADP
fis-3194	353	20	the	the	DET
fis-3194	353	21	use	use	NOUN
fis-3194	353	22	of	of	ADP
fis-3194	353	23	a	a	DET
fis-3194	353	24	subroutine	subroutine	NOUN
fis-3194	353	25	(	(	PUNCT
fis-3194	353	26	umat	umat	PROPN
fis-3194	353	27	)	)	PUNCT
fis-3194	353	28	.	.	PUNCT
fis-3194	354	1	calculations	calculation	NOUN
fis-3194	354	2	on	on	ADP
fis-3194	354	3	a	a	DET
fis-3194	354	4	rve	rve	NOUN
fis-3194	354	5	containing	contain	VERB
fis-3194	354	6	10	10	NUM
fis-3194	354	7	inclusions	inclusion	NOUN
fis-3194	354	8	with	with	ADP
fis-3194	354	9	type	type	NOUN
fis-3194	354	10	localization	localization	NOUN
fis-3194	354	11	conditions	condition	NOUN
fis-3194	354	12	(	(	PUNCT
fis-3194	354	13	pbc	pbc	PROPN
fis-3194	354	14	)	)	PUNCT
fis-3194	354	15	,	,	PUNCT
fis-3194	354	16	allowed	allow	VERB
fis-3194	354	17	us	we	PRON
fis-3194	354	18	to	to	PART
fis-3194	354	19	study	study	VERB
fis-3194	354	20	the	the	DET
fis-3194	354	21	k.	k.	PROPN
fis-3194	354	22	benyahi	benyahi	PROPN
fis-3194	354	23	et	et	PROPN
fis-3194	354	24	alii	alii	PROPN
fis-3194	354	25	,	,	PUNCT
fis-3194	354	26	frattura	frattura	PROPN
fis-3194	354	27	ed	ed	PROPN
fis-3194	354	28	integrità	integrità	PROPN
fis-3194	354	29	strutturale	strutturale	PROPN
fis-3194	354	30	,	,	PUNCT
fis-3194	354	31	58	58	NUM
fis-3194	354	32	(	(	PUNCT
fis-3194	354	33	2021	2021	NUM
fis-3194	354	34	)	)	PUNCT
fis-3194	354	35	319	319	NUM
fis-3194	354	36	-	-	SYM
fis-3194	354	37	343	343	NUM
fis-3194	354	38	;	;	PUNCT
fis-3194	354	39	doi	doi	NOUN
fis-3194	354	40	:	:	PUNCT
fis-3194	354	41	10.3221	10.3221	NUM
fis-3194	354	42	/	/	SYM
fis-3194	354	43	igf	igf	PROPN
fis-3194	354	44	-	-	PUNCT
fis-3194	354	45	esis.58.24	esis.58.24	ADJ
fis-3194	354	46	337	337	NUM
fis-3194	354	47	influence	influence	NOUN
fis-3194	354	48	of	of	ADP
fis-3194	354	49	the	the	DET
fis-3194	354	50	variation	variation	NOUN
fis-3194	354	51	of	of	ADP
fis-3194	354	52	the	the	DET
fis-3194	354	53	volume	volume	NOUN
fis-3194	354	54	fraction	fraction	NOUN
fis-3194	354	55	of	of	ADP
fis-3194	354	56	inclusions	inclusion	NOUN
fis-3194	354	57	on	on	ADP
fis-3194	354	58	the	the	DET
fis-3194	354	59	mechanical	mechanical	ADJ
fis-3194	354	60	characteristics	characteristic	NOUN
fis-3194	354	61	.	.	PUNCT
fis-3194	355	1	then	then	ADV
fis-3194	355	2	,	,	PUNCT
fis-3194	355	3	once	once	SCONJ
fis-3194	355	4	the	the	DET
fis-3194	355	5	effective	effective	ADJ
fis-3194	355	6	mechanical	mechanical	ADJ
fis-3194	355	7	properties	property	NOUN
fis-3194	355	8	of	of	ADP
fis-3194	355	9	the	the	DET
fis-3194	355	10	composite	composite	NOUN
fis-3194	355	11	were	be	AUX
fis-3194	355	12	known	know	VERB
fis-3194	355	13	,	,	PUNCT
fis-3194	355	14	a	a	DET
fis-3194	355	15	damage	damage	NOUN
fis-3194	355	16	model	model	NOUN
fis-3194	355	17	was	be	AUX
fis-3194	355	18	introduced	introduce	VERB
fis-3194	355	19	to	to	PART
fis-3194	355	20	study	study	VERB
fis-3194	355	21	the	the	DET
fis-3194	355	22	response	response	NOUN
fis-3194	355	23	of	of	ADP
fis-3194	355	24	the	the	DET
fis-3194	355	25	microstructure	microstructure	NOUN
fis-3194	355	26	.	.	PUNCT
fis-3194	356	1	the	the	DET
fis-3194	356	2	effective	effective	ADJ
fis-3194	356	3	mechanical	mechanical	ADJ
fis-3194	356	4	properties	property	NOUN
fis-3194	356	5	of	of	ADP
fis-3194	356	6	the	the	DET
fis-3194	356	7	representative	representative	ADJ
fis-3194	356	8	volume	volume	NOUN
fis-3194	356	9	element	element	NOUN
fis-3194	356	10	(	(	PUNCT
fis-3194	356	11	)	)	PUNCT
fis-3194	356	12	,eff	,eff	PROPN
fis-3194	356	13	effe	effe	ADJ
fis-3194	356	14	are	be	AUX
fis-3194	356	15	those	those	PRON
fis-3194	356	16	obtained	obtain	VERB
fis-3194	356	17	from	from	ADP
fis-3194	356	18	the	the	DET
fis-3194	356	19	periodic	periodic	ADJ
fis-3194	356	20	homogenization	homogenization	NOUN
fis-3194	356	21	method	method	NOUN
fis-3194	356	22	,	,	PUNCT
fis-3194	356	23	corresponding	correspond	VERB
fis-3194	356	24	to	to	ADP
fis-3194	356	25	each	each	DET
fis-3194	356	26	volume	volume	NOUN
fis-3194	356	27	fraction	fraction	NOUN
fis-3194	356	28	.	.	PUNCT
fis-3194	357	1	the	the	DET
fis-3194	357	2	volume	volume	NOUN
fis-3194	357	3	element	element	NOUN
fis-3194	357	4	is	be	AUX
fis-3194	357	5	stressed	stress	VERB
fis-3194	357	6	in	in	ADP
fis-3194	357	7	pure	pure	ADJ
fis-3194	357	8	tension	tension	NOUN
fis-3194	357	9	.	.	PUNCT
fis-3194	358	1	the	the	DET
fis-3194	358	2	loading	loading	NOUN
fis-3194	358	3	is	be	AUX
fis-3194	358	4	done	do	VERB
fis-3194	358	5	with	with	ADP
fis-3194	358	6	displacement	displacement	NOUN
fis-3194	358	7	imposed	impose	VERB
fis-3194	358	8	in	in	ADP
fis-3194	358	9	three	three	NUM
fis-3194	358	10	-	-	PUNCT
fis-3194	358	11	dimensional	dimensional	ADJ
fis-3194	358	12	strain	strain	NOUN
fis-3194	358	13	.	.	PUNCT
fis-3194	359	1	the	the	DET
fis-3194	359	2	characteristics	characteristic	NOUN
fis-3194	359	3	of	of	ADP
fis-3194	359	4	composite	composite	NOUN
fis-3194	359	5	are	be	AUX
fis-3194	359	6	defined	define	VERB
fis-3194	359	7	in	in	ADP
fis-3194	359	8	tab	tab	NOUN
fis-3194	359	9	.	.	PUNCT
fis-3194	360	1	4	4	NUM
fis-3194	360	2	:	:	PUNCT
fis-3194	360	3	table	table	NOUN
fis-3194	360	4	4	4	NUM
fis-3194	360	5	:	:	PUNCT
fis-3194	360	6	the	the	DET
fis-3194	360	7	effective	effective	ADJ
fis-3194	360	8	properties	property	NOUN
fis-3194	360	9	and	and	CCONJ
fis-3194	360	10	damage	damage	NOUN
fis-3194	360	11	parameter	parameter	NOUN
fis-3194	360	12	of	of	ADP
fis-3194	360	13	a	a	DET
fis-3194	360	14	composite	composite	NOUN
fis-3194	360	15	.	.	PUNCT
fis-3194	361	1	in	in	ADP
fis-3194	361	2	a	a	DET
fis-3194	361	3	first	first	ADJ
fis-3194	361	4	case	case	NOUN
fis-3194	361	5	,	,	PUNCT
fis-3194	361	6	we	we	PRON
fis-3194	361	7	represent	represent	VERB
fis-3194	361	8	in	in	ADP
fis-3194	361	9	figs	fig	NOUN
fis-3194	361	10	.	.	PUNCT
fis-3194	362	1	15	15	NUM
fis-3194	362	2	-	-	SYM
fis-3194	362	3	16	16	NUM
fis-3194	362	4	the	the	DET
fis-3194	362	5	local	local	ADJ
fis-3194	362	6	stress	stress	NOUN
fis-3194	362	7	-	-	PUNCT
fis-3194	362	8	strain	strain	NOUN
fis-3194	362	9	response	response	NOUN
fis-3194	362	10	and	and	CCONJ
fis-3194	362	11	the	the	DET
fis-3194	362	12	evolution	evolution	NOUN
fis-3194	362	13	of	of	ADP
fis-3194	362	14	the	the	DET
fis-3194	362	15	damage	damage	NOUN
fis-3194	362	16	respectively	respectively	ADV
fis-3194	362	17	,	,	PUNCT
fis-3194	362	18	depending	depend	VERB
fis-3194	362	19	on	on	ADP
fis-3194	362	20	the	the	DET
fis-3194	362	21	strain	strain	NOUN
fis-3194	362	22	of	of	ADP
fis-3194	362	23	a	a	DET
fis-3194	362	24	volume	volume	NOUN
fis-3194	362	25	element	element	NOUN
fis-3194	362	26	loaded	load	VERB
fis-3194	362	27	in	in	ADP
fis-3194	362	28	pure	pure	ADJ
fis-3194	362	29	tension	tension	NOUN
fis-3194	362	30	,	,	PUNCT
fis-3194	362	31	and	and	CCONJ
fis-3194	362	32	under	under	ADP
fis-3194	362	33	various	various	ADJ
fis-3194	362	34	volume	volume	NOUN
fis-3194	362	35	fractions	fraction	NOUN
fis-3194	362	36	.	.	PUNCT
fis-3194	363	1	we	we	PRON
fis-3194	363	2	set	set	VERB
fis-3194	363	3	the	the	DET
fis-3194	363	4	parameter	parameter	NOUN
fis-3194	363	5	ta	ta	PROPN
fis-3194	363	6	and	and	CCONJ
fis-3194	363	7	made	make	VERB
fis-3194	363	8	the	the	DET
fis-3194	363	9	parameter	parameter	NOUN
fis-3194	363	10	tb	tb	ADP
fis-3194	363	11	varied	varied	ADJ
fis-3194	363	12	.	.	PUNCT
fis-3194	364	1	figure	figure	VERB
fis-3194	364	2	15	15	NUM
fis-3194	364	3	:	:	PUNCT
fis-3194	364	4	influence	influence	NOUN
fis-3194	364	5	of	of	ADP
fis-3194	364	6	the	the	DET
fis-3194	364	7	variation	variation	NOUN
fis-3194	364	8	of	of	ADP
fis-3194	364	9	the	the	DET
fis-3194	364	10	volume	volume	NOUN
fis-3194	364	11	fraction	fraction	NOUN
fis-3194	364	12	inclusions	inclusion	NOUN
fis-3194	364	13	on	on	ADP
fis-3194	364	14	the	the	DET
fis-3194	364	15	local	local	ADJ
fis-3194	364	16	stress	stress	NOUN
fis-3194	364	17	-	-	PUNCT
fis-3194	364	18	strain	strain	NOUN
fis-3194	364	19	behavior	behavior	NOUN
fis-3194	364	20	.	.	PUNCT
fis-3194	365	1	matrixspheroidal	matrixspheroidal	NOUN
fis-3194	365	2	inclusions	inclusion	NOUN
fis-3194	365	3	volume	volume	NOUN
fis-3194	365	4	fraction	fraction	NOUN
fis-3194	365	5	(	(	PUNCT
fis-3194	365	6	%	%	INTJ
fis-3194	365	7	)	)	PUNCT
fis-3194	365	8	eh	eh	INTJ
fis-3194	365	9	(	(	PUNCT
fis-3194	365	10	mpa	mpa	PROPN
fis-3194	365	11	)	)	PUNCT
fis-3194	365	12	νh	νh	PROPN
fis-3194	365	13	ac	ac	PROPN
fis-3194	365	14	bc	bc	PROPN
fis-3194	365	15	at	at	ADP
fis-3194	365	16	bt	bt	PROPN
fis-3194	365	17	εd0	εd0	PROPN
fis-3194	365	18	10	10	NUM
fis-3194	365	19	3440.43	3440.43	NUM
fis-3194	365	20	0.333	0.333	NUM
fis-3194	365	21	1.4	1.4	NUM
fis-3194	365	22	240.83	240.83	NUM
fis-3194	365	23	0.8	0.8	NUM
fis-3194	365	24	2752.35	2752.35	NUM
fis-3194	365	25	0.001	0.001	NUM
fis-3194	365	26	15	15	NUM
fis-3194	365	27	3764.60	3764.60	NUM
fis-3194	365	28	0.335	0.335	NUM
fis-3194	365	29	1.4	1.4	NUM
fis-3194	365	30	263.52	263.52	NUM
fis-3194	365	31	0.8	0.8	NUM
fis-3194	365	32	3011.68	3011.68	NUM
fis-3194	365	33	0.001	0.001	NUM
fis-3194	365	34	20	20	NUM
fis-3194	365	35	4264.90	4264.90	NUM
fis-3194	365	36	0.326	0.326	NUM
fis-3194	365	37	1.4	1.4	NUM
fis-3194	365	38	298.54	298.54	NUM
fis-3194	365	39	0.8	0.8	NUM
fis-3194	365	40	3411.92	3411.92	NUM
fis-3194	365	41	0.001	0.001	NUM
fis-3194	365	42	25	25	NUM
fis-3194	365	43	4779.03	4779.03	NUM
fis-3194	365	44	0.316	0.316	NUM
fis-3194	365	45	1.4	1.4	NUM
fis-3194	365	46	334.53	334.53	NUM
fis-3194	365	47	0.8	0.8	NUM
fis-3194	365	48	3823.23	3823.23	NUM
fis-3194	365	49	0.001	0.001	NUM
fis-3194	365	50	30	30	NUM
fis-3194	365	51	5324.70	5324.70	NUM
fis-3194	365	52	0.312	0.312	NUM
fis-3194	365	53	1.4	1.4	NUM
fis-3194	365	54	372.73	372.73	NUM
fis-3194	365	55	0.8	0.8	NUM
fis-3194	365	56	4259.76	4259.76	NUM
fis-3194	365	57	0.001	0.001	NUM
fis-3194	365	58	matrixellipsoidal	matrixellipsoidal	NOUN
fis-3194	365	59	inclusions	inclusion	NOUN
fis-3194	365	60	volume	volume	NOUN
fis-3194	365	61	fraction	fraction	NOUN
fis-3194	365	62	(	(	PUNCT
fis-3194	365	63	%	%	INTJ
fis-3194	365	64	)	)	PUNCT
fis-3194	365	65	eh	eh	INTJ
fis-3194	365	66	(	(	PUNCT
fis-3194	365	67	mpa	mpa	PROPN
fis-3194	365	68	)	)	PUNCT
fis-3194	366	1	νh	νh	PROPN
fis-3194	366	2	ac	ac	PROPN
fis-3194	366	3	bc	bc	PROPN
fis-3194	366	4	at	at	ADP
fis-3194	366	5	bt	bt	PROPN
fis-3194	366	6	εd0	εd0	PROPN
fis-3194	366	7	10	10	NUM
fis-3194	366	8	3391.73	3391.73	NUM
fis-3194	366	9	0.340	0.340	NUM
fis-3194	366	10	1.4	1.4	NUM
fis-3194	366	11	237.42	237.42	NUM
fis-3194	366	12	0.8	0.8	NUM
fis-3194	366	13	2713.39	2713.39	NUM
fis-3194	366	14	0.001	0.001	NUM
fis-3194	366	15	15	15	NUM
fis-3194	366	16	3787.73	3787.73	NUM
fis-3194	366	17	0.333	0.333	NUM
fis-3194	366	18	1.4	1.4	NUM
fis-3194	366	19	265.14	265.14	NUM
fis-3194	366	20	0.8	0.8	NUM
fis-3194	366	21	3030.19	3030.19	NUM
fis-3194	366	22	0.001	0.001	NUM
fis-3194	366	23	20	20	NUM
fis-3194	366	24	4240.37	4240.37	NUM
fis-3194	366	25	0.328	0.328	NUM
fis-3194	366	26	1.4	1.4	NUM
fis-3194	366	27	296.82	296.82	NUM
fis-3194	366	28	0.8	0.8	NUM
fis-3194	366	29	3392.30	3392.30	NUM
fis-3194	366	30	0.001	0.001	NUM
fis-3194	366	31	25	25	NUM
fis-3194	366	32	4784.43	4784.43	NUM
fis-3194	366	33	0.321	0.321	NUM
fis-3194	366	34	1.4	1.4	NUM
fis-3194	366	35	334.91	334.91	NUM
fis-3194	366	36	0.8	0.8	NUM
fis-3194	366	37	3827.55	3827.55	NUM
fis-3194	366	38	0.001	0.001	NUM
fis-3194	366	39	30	30	NUM
fis-3194	366	40	5320.80	5320.80	NUM
fis-3194	366	41	0.312	0.312	NUM
fis-3194	366	42	1.4	1.4	NUM
fis-3194	366	43	372.46	372.46	NUM
fis-3194	366	44	0.8	0.8	NUM
fis-3194	366	45	4256.64	4256.64	NUM
fis-3194	366	46	0.001	0.001	NUM
fis-3194	366	47	matrixcylindrical	matrixcylindrical	ADJ
fis-3194	366	48	inclusions	inclusion	NOUN
fis-3194	366	49	𝐅𝐜𝐣	𝐅𝐜𝐣	PROPN
fis-3194	366	50	(	(	PUNCT
fis-3194	366	51	mpa	mpa	PROPN
fis-3194	366	52	)	)	PUNCT
fis-3194	366	53	ftj	ftj	NOUN
fis-3194	366	54	(	(	PUNCT
fis-3194	366	55	mpa	mpa	PROPN
fis-3194	366	56	)	)	PUNCT
fis-3194	366	57	eh	eh	INTJ
fis-3194	366	58	(	(	PUNCT
fis-3194	366	59	mpa	mpa	PROPN
fis-3194	366	60	)	)	PUNCT
fis-3194	366	61	νh	νh	ADP
fis-3194	367	1	ε0	ε0	PROPN
fis-3194	367	2	(	(	PUNCT
fis-3194	367	3	%	%	INTJ
fis-3194	367	4	)	)	PUNCT
fis-3194	367	5	ϕ	ϕ	NOUN
fis-3194	367	6	(	(	PUNCT
fis-3194	367	7	mm	mm	INTJ
fis-3194	367	8	)	)	PUNCT
fis-3194	367	9	lf	lf	PROPN
fis-3194	367	10	(	(	PUNCT
fis-3194	367	11	mm	mm	INTJ
fis-3194	367	12	)	)	PUNCT
fis-3194	367	13	τu	τu	ADP
fis-3194	367	14	(	(	PUNCT
fis-3194	367	15	mpa	mpa	PROPN
fis-3194	367	16	)	)	PUNCT
fis-3194	367	17	ω	ω	PROPN
fis-3194	367	18	(	(	PUNCT
fis-3194	367	19	%	%	INTJ
fis-3194	367	20	)	)	PUNCT
fis-3194	367	21	θ0	θ0	PROPN
fis-3194	367	22	47.76	47.76	NUM
fis-3194	367	23	3.46	3.46	NUM
fis-3194	367	24	5247.08	5247.08	NUM
fis-3194	367	25	0.342	0.342	NUM
fis-3194	367	26	0.21	0.21	NUM
fis-3194	367	27	0.04	0.04	NUM
fis-3194	367	28	0.8	0.8	NUM
fis-3194	367	29	7	7	NUM
fis-3194	367	30	5	5	NUM
fis-3194	367	31	0.405	0.405	NUM
fis-3194	367	32	47.76	47.76	NUM
fis-3194	367	33	3.46	3.46	NUM
fis-3194	367	34	7780.74	7780.74	NUM
fis-3194	367	35	0.335	0.335	NUM
fis-3194	367	36	0.21	0.21	NUM
fis-3194	367	37	0.04	0.04	NUM
fis-3194	367	38	0.8	0.8	NUM
fis-3194	367	39	7	7	NUM
fis-3194	367	40	10	10	NUM
fis-3194	367	41	0.405	0.405	NUM
fis-3194	367	42	47.76	47.76	NUM
fis-3194	367	43	3.46	3.46	NUM
fis-3194	367	44	10360.73	10360.73	NUM
fis-3194	367	45	0.327	0.327	NUM
fis-3194	367	46	0.21	0.21	NUM
fis-3194	367	47	0.04	0.04	NUM
fis-3194	367	48	0.8	0.8	NUM
fis-3194	367	49	7	7	NUM
fis-3194	367	50	15	15	NUM
fis-3194	367	51	0.405	0.405	NUM
fis-3194	367	52	47.76	47.76	NUM
fis-3194	367	53	3.46	3.46	NUM
fis-3194	367	54	13033.63	13033.63	NUM
fis-3194	367	55	0.320	0.320	NUM
fis-3194	367	56	0.21	0.21	NUM
fis-3194	367	57	0.04	0.04	NUM
fis-3194	367	58	0.8	0.8	NUM
fis-3194	367	59	7	7	NUM
fis-3194	367	60	20	20	NUM
fis-3194	367	61	0.405	0.405	NUM
fis-3194	367	62	k.	k.	NOUN
fis-3194	367	63	benyahi	benyahi	PROPN
fis-3194	367	64	et	et	PROPN
fis-3194	367	65	alii	alii	PROPN
fis-3194	367	66	,	,	PUNCT
fis-3194	367	67	frattura	frattura	PROPN
fis-3194	367	68	ed	ed	PROPN
fis-3194	367	69	integrità	integrità	PROPN
fis-3194	367	70	strutturale	strutturale	PROPN
fis-3194	367	71	,	,	PUNCT
fis-3194	367	72	58	58	NUM
fis-3194	367	73	(	(	PUNCT
fis-3194	367	74	2021	2021	NUM
fis-3194	367	75	)	)	PUNCT
fis-3194	367	76	319	319	NUM
fis-3194	367	77	-	-	SYM
fis-3194	367	78	343	343	NUM
fis-3194	367	79	;	;	PUNCT
fis-3194	367	80	doi	doi	NOUN
fis-3194	367	81	:	:	PUNCT
fis-3194	367	82	10.3221	10.3221	NUM
fis-3194	367	83	/	/	SYM
fis-3194	367	84	igf	igf	PROPN
fis-3194	367	85	-	-	PUNCT
fis-3194	367	86	esis.58.24	esis.58.24	ADJ
fis-3194	367	87	338	338	NUM
fis-3194	367	88	figure	figure	NOUN
fis-3194	367	89	16	16	NUM
fis-3194	367	90	:	:	PUNCT
fis-3194	367	91	influence	influence	NOUN
fis-3194	367	92	of	of	ADP
fis-3194	367	93	the	the	DET
fis-3194	367	94	variation	variation	NOUN
fis-3194	367	95	of	of	ADP
fis-3194	367	96	the	the	DET
fis-3194	367	97	volume	volume	NOUN
fis-3194	367	98	fraction	fraction	NOUN
fis-3194	367	99	inclusions	inclusion	NOUN
fis-3194	367	100	on	on	ADP
fis-3194	367	101	the	the	DET
fis-3194	367	102	evolution	evolution	NOUN
fis-3194	367	103	of	of	ADP
fis-3194	367	104	damage	damage	NOUN
fis-3194	367	105	according	accord	VERB
fis-3194	367	106	to	to	ADP
fis-3194	367	107	the	the	DET
fis-3194	367	108	strain	strain	NOUN
fis-3194	367	109	.	.	PUNCT
fis-3194	368	1	figs	fig	NOUN
fis-3194	368	2	.	.	PUNCT
fis-3194	369	1	15	15	NUM
fis-3194	369	2	-	-	SYM
fis-3194	369	3	16	16	NUM
fis-3194	369	4	show	show	VERB
fis-3194	369	5	us	we	PRON
fis-3194	369	6	that	that	SCONJ
fis-3194	369	7	the	the	DET
fis-3194	369	8	increase	increase	NOUN
fis-3194	369	9	in	in	ADP
fis-3194	369	10	the	the	DET
fis-3194	369	11	volume	volume	NOUN
fis-3194	369	12	fraction	fraction	NOUN
fis-3194	369	13	of	of	ADP
fis-3194	369	14	the	the	DET
fis-3194	369	15	inclusions	inclusion	NOUN
fis-3194	369	16	(	(	PUNCT
fis-3194	369	17	spheroidal	spheroidal	NOUN
fis-3194	369	18	,	,	PUNCT
fis-3194	369	19	ellipsoidal	ellipsoidal	ADJ
fis-3194	369	20	)	)	PUNCT
fis-3194	369	21	,	,	PUNCT
fis-3194	369	22	and	and	CCONJ
fis-3194	369	23	of	of	ADP
fis-3194	369	24	the	the	DET
fis-3194	369	25	parameter	parameter	NOUN
fis-3194	369	26	tb	tb	NOUN
fis-3194	369	27	allows	allow	VERB
fis-3194	369	28	an	an	DET
fis-3194	369	29	improvement	improvement	NOUN
fis-3194	369	30	in	in	ADP
fis-3194	369	31	the	the	DET
fis-3194	369	32	stiffness	stiffness	NOUN
fis-3194	369	33	of	of	ADP
fis-3194	369	34	composite	composite	NOUN
fis-3194	369	35	.	.	PUNCT
fis-3194	370	1	and	and	CCONJ
fis-3194	370	2	it	it	PRON
fis-3194	370	3	makes	make	VERB
fis-3194	370	4	a	a	DET
fis-3194	370	5	change	change	NOUN
fis-3194	370	6	the	the	DET
fis-3194	370	7	shape	shape	NOUN
fis-3194	370	8	of	of	ADP
fis-3194	370	9	damage	damage	NOUN
fis-3194	370	10	as	as	ADP
fis-3194	370	11	a	a	DET
fis-3194	370	12	function	function	NOUN
fis-3194	370	13	of	of	ADP
fis-3194	370	14	strain	strain	NOUN
fis-3194	370	15	,	,	PUNCT
fis-3194	370	16	or	or	CCONJ
fis-3194	370	17	the	the	DET
fis-3194	370	18	composite	composite	NOUN
fis-3194	370	19	becomes	become	VERB
fis-3194	370	20	less	less	ADV
fis-3194	370	21	ductile	ductile	NOUN
fis-3194	370	22	.	.	PUNCT
fis-3194	371	1	in	in	ADP
fis-3194	371	2	a	a	DET
fis-3194	371	3	second	second	ADJ
fis-3194	371	4	case	case	NOUN
fis-3194	371	5	,	,	PUNCT
fis-3194	371	6	the	the	DET
fis-3194	371	7	influence	influence	NOUN
fis-3194	371	8	of	of	ADP
fis-3194	371	9	the	the	DET
fis-3194	371	10	parameter	parameter	NOUN
fis-3194	371	11	ta	ta	PROPN
fis-3194	371	12	is	be	AUX
fis-3194	371	13	given	give	VERB
fis-3194	371	14	in	in	ADP
fis-3194	371	15	figs	fig	NOUN
fis-3194	371	16	.	.	PUNCT
fis-3194	372	1	17	17	NUM
fis-3194	372	2	-	-	SYM
fis-3194	372	3	18	18	NUM
fis-3194	372	4	with	with	ADP
fis-3194	372	5	respect	respect	NOUN
fis-3194	372	6	to	to	ADP
fis-3194	372	7	the	the	DET
fis-3194	372	8	local	local	ADJ
fis-3194	372	9	stress	stress	NOUN
fis-3194	372	10	-	-	PUNCT
fis-3194	372	11	strain	strain	NOUN
fis-3194	372	12	response	response	NOUN
fis-3194	372	13	,	,	PUNCT
fis-3194	372	14	and	and	CCONJ
fis-3194	372	15	the	the	DET
fis-3194	372	16	evolution	evolution	NOUN
fis-3194	372	17	of	of	ADP
fis-3194	372	18	damage	damage	NOUN
fis-3194	372	19	respectively	respectively	ADV
fis-3194	372	20	,	,	PUNCT
fis-3194	372	21	of	of	ADP
fis-3194	372	22	a	a	DET
fis-3194	372	23	volume	volume	NOUN
fis-3194	372	24	element	element	NOUN
fis-3194	372	25	loaded	load	VERB
fis-3194	372	26	in	in	ADP
fis-3194	372	27	pure	pure	ADJ
fis-3194	372	28	tension	tension	NOUN
fis-3194	372	29	.	.	PUNCT
fis-3194	373	1	with	with	ADP
fis-3194	373	2	an	an	DET
fis-3194	373	3	average	average	ADJ
fis-3194	373	4	volume	volume	NOUN
fis-3194	373	5	fraction	fraction	NOUN
fis-3194	373	6	(	(	PUNCT
fis-3194	373	7	taken	take	VERB
fis-3194	373	8	equal	equal	ADJ
fis-3194	373	9	to	to	ADP
fis-3194	373	10	20	20	NUM
fis-3194	373	11	%	%	NOUN
fis-3194	373	12	)	)	PUNCT
fis-3194	373	13	,	,	PUNCT
fis-3194	373	14	and	and	CCONJ
fis-3194	373	15	a	a	DET
fis-3194	373	16	fixed	fix	VERB
fis-3194	373	17	value	value	NOUN
fis-3194	373	18	of	of	ADP
fis-3194	373	19	the	the	DET
fis-3194	373	20	parameter	parameter	NOUN
fis-3194	373	21	tb	tb	ADP
fis-3194	373	22	corresponding	correspond	VERB
fis-3194	373	23	to	to	ADP
fis-3194	373	24	this	this	DET
fis-3194	373	25	percentage	percentage	NOUN
fis-3194	373	26	.	.	PUNCT
fis-3194	374	1	figs	fig	NOUN
fis-3194	374	2	.	.	PUNCT
fis-3194	375	1	17	17	NUM
fis-3194	375	2	-	-	SYM
fis-3194	375	3	18	18	NUM
fis-3194	375	4	show	show	VERB
fis-3194	375	5	us	we	PRON
fis-3194	375	6	that	that	SCONJ
fis-3194	375	7	the	the	DET
fis-3194	375	8	increase	increase	NOUN
fis-3194	375	9	in	in	ADP
fis-3194	375	10	the	the	DET
fis-3194	375	11	volume	volume	NOUN
fis-3194	375	12	fraction	fraction	NOUN
fis-3194	375	13	of	of	ADP
fis-3194	375	14	shaped	shape	VERB
fis-3194	375	15	inclusions	inclusion	NOUN
fis-3194	375	16	(	(	PUNCT
fis-3194	375	17	spheroidal	spheroidal	NOUN
fis-3194	375	18	,	,	PUNCT
fis-3194	375	19	ellipsoidal	ellipsoidal	ADJ
fis-3194	375	20	)	)	PUNCT
fis-3194	375	21	,	,	PUNCT
fis-3194	375	22	and	and	CCONJ
fis-3194	375	23	of	of	ADP
fis-3194	375	24	the	the	DET
fis-3194	375	25	parameter	parameter	NOUN
fis-3194	375	26	ta	ta	AUX
fis-3194	375	27	results	result	VERB
fis-3194	375	28	in	in	ADP
fis-3194	375	29	a	a	DET
fis-3194	375	30	sudden	sudden	ADJ
fis-3194	375	31	drop	drop	NOUN
fis-3194	375	32	in	in	ADP
fis-3194	375	33	the	the	DET
fis-3194	375	34	strength	strength	NOUN
fis-3194	375	35	of	of	ADP
fis-3194	375	36	composite	composite	ADJ
fis-3194	375	37	(	(	PUNCT
fis-3194	375	38	very	very	ADV
fis-3194	375	39	low	low	ADJ
fis-3194	375	40	residual	residual	ADJ
fis-3194	375	41	stress	stress	NOUN
fis-3194	375	42	)	)	PUNCT
fis-3194	375	43	.	.	PUNCT
fis-3194	376	1	and	and	CCONJ
fis-3194	376	2	it	it	PRON
fis-3194	376	3	makes	make	VERB
fis-3194	376	4	a	a	DET
fis-3194	376	5	change	change	NOUN
fis-3194	376	6	the	the	DET
fis-3194	376	7	shape	shape	NOUN
fis-3194	376	8	of	of	ADP
fis-3194	376	9	damage	damage	NOUN
fis-3194	376	10	as	as	ADP
fis-3194	376	11	a	a	DET
fis-3194	376	12	function	function	NOUN
fis-3194	376	13	of	of	ADP
fis-3194	376	14	the	the	DET
fis-3194	376	15	strain	strain	NOUN
fis-3194	376	16	,	,	PUNCT
fis-3194	376	17	where	where	SCONJ
fis-3194	376	18	the	the	DET
fis-3194	376	19	composite	composite	NOUN
fis-3194	376	20	becomes	become	VERB
fis-3194	376	21	more	more	ADV
fis-3194	376	22	fragile	fragile	ADJ
fis-3194	376	23	.	.	PUNCT
fis-3194	377	1	figure	figure	NOUN
fis-3194	377	2	17	17	NUM
fis-3194	377	3	:	:	PUNCT
fis-3194	377	4	influence	influence	NOUN
fis-3194	377	5	of	of	ADP
fis-3194	377	6	the	the	DET
fis-3194	377	7	parameter	parameter	NOUN
fis-3194	377	8	ta	ta	PROPN
fis-3194	377	9	on	on	ADP
fis-3194	377	10	the	the	DET
fis-3194	377	11	local	local	ADJ
fis-3194	377	12	behavior	behavior	NOUN
fis-3194	377	13	stress	stress	NOUN
fis-3194	377	14	-	-	PUNCT
fis-3194	377	15	strain	strain	NOUN
fis-3194	377	16	.	.	PUNCT
fis-3194	378	1	we	we	PRON
fis-3194	378	2	represent	represent	VERB
fis-3194	378	3	the	the	DET
fis-3194	378	4	local	local	ADJ
fis-3194	378	5	stress	stress	NOUN
fis-3194	378	6	-	-	PUNCT
fis-3194	378	7	strain	strain	NOUN
fis-3194	378	8	response	response	NOUN
fis-3194	378	9	and	and	CCONJ
fis-3194	378	10	the	the	DET
fis-3194	378	11	evolution	evolution	NOUN
fis-3194	378	12	of	of	ADP
fis-3194	378	13	damage	damage	NOUN
fis-3194	378	14	respectively	respectively	ADV
fis-3194	378	15	,	,	PUNCT
fis-3194	378	16	as	as	ADP
fis-3194	378	17	a	a	DET
fis-3194	378	18	function	function	NOUN
fis-3194	378	19	of	of	ADP
fis-3194	378	20	the	the	DET
fis-3194	378	21	strain	strain	NOUN
fis-3194	378	22	of	of	ADP
fis-3194	378	23	a	a	DET
fis-3194	378	24	volume	volume	NOUN
fis-3194	378	25	element	element	NOUN
fis-3194	378	26	stressed	stress	VERB
fis-3194	378	27	in	in	ADP
fis-3194	378	28	pure	pure	ADJ
fis-3194	378	29	tension	tension	NOUN
fis-3194	378	30	,	,	PUNCT
fis-3194	378	31	and	and	CCONJ
fis-3194	378	32	under	under	ADP
fis-3194	378	33	different	different	ADJ
fis-3194	378	34	volume	volume	NOUN
fis-3194	378	35	fraction	fraction	NOUN
fis-3194	378	36	of	of	ADP
fis-3194	378	37	cylindrical	cylindrical	ADJ
fis-3194	378	38	inclusions	inclusion	NOUN
fis-3194	378	39	.	.	PUNCT
fis-3194	379	1	figs	fig	NOUN
fis-3194	379	2	.	.	PUNCT
fis-3194	380	1	19	19	NUM
fis-3194	380	2	-	-	SYM
fis-3194	380	3	20	20	NUM
fis-3194	380	4	show	show	VERB
fis-3194	380	5	us	we	PRON
fis-3194	380	6	that	that	SCONJ
fis-3194	380	7	increasing	increase	VERB
fis-3194	380	8	the	the	DET
fis-3194	380	9	percentages	percentage	NOUN
fis-3194	380	10	of	of	ADP
fis-3194	380	11	cylindrical	cylindrical	ADJ
fis-3194	380	12	inclusions	inclusion	NOUN
fis-3194	380	13	increases	increase	VERB
fis-3194	380	14	elastic	elastic	ADJ
fis-3194	380	15	properties	property	NOUN
fis-3194	380	16	(	(	PUNCT
fis-3194	380	17	the	the	DET
fis-3194	380	18	material	material	NOUN
fis-3194	380	19	becomes	become	VERB
fis-3194	380	20	more	more	ADV
fis-3194	380	21	rigid	rigid	ADJ
fis-3194	380	22	)	)	PUNCT
fis-3194	380	23	.	.	PUNCT
fis-3194	381	1	and	and	CCONJ
fis-3194	381	2	it	it	PRON
fis-3194	381	3	causes	cause	VERB
fis-3194	381	4	a	a	DET
fis-3194	381	5	sudden	sudden	ADJ
fis-3194	381	6	drop	drop	NOUN
fis-3194	381	7	in	in	ADP
fis-3194	381	8	the	the	DET
fis-3194	381	9	strength	strength	NOUN
fis-3194	381	10	of	of	ADP
fis-3194	381	11	composite	composite	ADJ
fis-3194	381	12	(	(	PUNCT
fis-3194	381	13	low	low	ADJ
fis-3194	381	14	residual	residual	ADJ
fis-3194	381	15	stress	stress	NOUN
fis-3194	381	16	)	)	PUNCT
fis-3194	381	17	,	,	PUNCT
fis-3194	381	18	and	and	CCONJ
fis-3194	381	19	a	a	DET
fis-3194	381	20	ductility	ductility	NOUN
fis-3194	381	21	bearing	bear	VERB
fis-3194	381	22	having	have	VERB
fis-3194	381	23	greater	great	ADJ
fis-3194	381	24	strain	strain	NOUN
fis-3194	381	25	of	of	ADP
fis-3194	381	26	the	the	DET
fis-3194	381	27	composite	composite	NOUN
fis-3194	381	28	.	.	PUNCT
fis-3194	382	1	what	what	PRON
fis-3194	382	2	changes	change	VERB
fis-3194	382	3	the	the	DET
fis-3194	382	4	rate	rate	NOUN
fis-3194	382	5	of	of	ADP
fis-3194	382	6	damage	damage	NOUN
fis-3194	382	7	depending	depend	VERB
fis-3194	382	8	on	on	ADP
fis-3194	382	9	the	the	DET
fis-3194	382	10	strain	strain	NOUN
fis-3194	382	11	,	,	PUNCT
fis-3194	382	12	where	where	SCONJ
fis-3194	382	13	the	the	DET
fis-3194	382	14	resistance	resistance	NOUN
fis-3194	382	15	of	of	ADP
fis-3194	382	16	the	the	DET
fis-3194	382	17	softening	soften	VERB
fis-3194	382	18	part	part	NOUN
fis-3194	382	19	of	of	ADP
fis-3194	382	20	composite	composite	NOUN
fis-3194	382	21	is	be	AUX
fis-3194	382	22	very	very	ADV
fis-3194	382	23	low	low	ADJ
fis-3194	382	24	.	.	PUNCT
fis-3194	383	1	k.	k.	PROPN
fis-3194	383	2	benyahi	benyahi	PROPN
fis-3194	383	3	et	et	PROPN
fis-3194	383	4	alii	alii	PROPN
fis-3194	383	5	,	,	PUNCT
fis-3194	383	6	frattura	frattura	PROPN
fis-3194	383	7	ed	ed	PROPN
fis-3194	383	8	integrità	integrità	PROPN
fis-3194	383	9	strutturale	strutturale	PROPN
fis-3194	383	10	,	,	PUNCT
fis-3194	383	11	58	58	NUM
fis-3194	383	12	(	(	PUNCT
fis-3194	383	13	2021	2021	NUM
fis-3194	383	14	)	)	PUNCT
fis-3194	383	15	319	319	NUM
fis-3194	383	16	-	-	SYM
fis-3194	383	17	343	343	NUM
fis-3194	383	18	;	;	PUNCT
fis-3194	383	19	doi	doi	NOUN
fis-3194	383	20	:	:	PUNCT
fis-3194	383	21	10.3221	10.3221	NUM
fis-3194	383	22	/	/	SYM
fis-3194	383	23	igf	igf	PROPN
fis-3194	383	24	-	-	PUNCT
fis-3194	383	25	esis.58.24	esis.58.24	ADJ
fis-3194	383	26	339	339	NUM
fis-3194	383	27	figure	figure	NOUN
fis-3194	383	28	18	18	NUM
fis-3194	383	29	:	:	PUNCT
fis-3194	383	30	influence	influence	NOUN
fis-3194	383	31	of	of	ADP
fis-3194	383	32	the	the	DET
fis-3194	383	33	parameter	parameter	NOUN
fis-3194	383	34	ta	ta	PROPN
fis-3194	383	35	on	on	ADP
fis-3194	383	36	the	the	DET
fis-3194	383	37	evolution	evolution	NOUN
fis-3194	383	38	of	of	ADP
fis-3194	383	39	damage	damage	NOUN
fis-3194	383	40	according	accord	VERB
fis-3194	383	41	to	to	ADP
fis-3194	383	42	the	the	DET
fis-3194	383	43	strain	strain	NOUN
fis-3194	383	44	.	.	PUNCT
fis-3194	384	1	figure	figure	NOUN
fis-3194	384	2	19	19	NUM
fis-3194	384	3	:	:	PUNCT
fis-3194	384	4	local	local	ADJ
fis-3194	384	5	stress	stress	NOUN
fis-3194	384	6	-	-	PUNCT
fis-3194	384	7	strain	strain	NOUN
fis-3194	384	8	behavior	behavior	NOUN
fis-3194	384	9	.	.	PUNCT
fis-3194	385	1	figure	figure	VERB
fis-3194	385	2	20	20	NUM
fis-3194	385	3	:	:	PUNCT
fis-3194	385	4	evolution	evolution	NOUN
fis-3194	385	5	of	of	ADP
fis-3194	385	6	the	the	DET
fis-3194	385	7	damage	damage	NOUN
fis-3194	385	8	according	accord	VERB
fis-3194	385	9	to	to	ADP
fis-3194	385	10	the	the	DET
fis-3194	385	11	strain	strain	NOUN
fis-3194	385	12	.	.	PUNCT
fis-3194	386	1	the	the	DET
fis-3194	386	2	behavior	behavior	NOUN
fis-3194	386	3	of	of	ADP
fis-3194	386	4	the	the	DET
fis-3194	386	5	composite	composite	NOUN
fis-3194	386	6	follows	follow	VERB
fis-3194	386	7	an	an	DET
fis-3194	386	8	elastic	elastic	ADJ
fis-3194	386	9	phase	phase	NOUN
fis-3194	386	10	until	until	ADP
fis-3194	386	11	the	the	DET
fis-3194	386	12	appearance	appearance	NOUN
fis-3194	386	13	of	of	ADP
fis-3194	386	14	the	the	DET
fis-3194	386	15	first	first	ADJ
fis-3194	386	16	cracks	crack	NOUN
fis-3194	386	17	,	,	PUNCT
fis-3194	386	18	then	then	ADV
fis-3194	386	19	a	a	DET
fis-3194	386	20	sudden	sudden	ADJ
fis-3194	386	21	drop	drop	NOUN
fis-3194	386	22	in	in	ADP
fis-3194	386	23	stress	stress	NOUN
fis-3194	386	24	results	result	NOUN
fis-3194	386	25	to	to	ADP
fis-3194	386	26	a	a	DET
fis-3194	386	27	residual	residual	ADJ
fis-3194	386	28	stress	stress	NOUN
fis-3194	386	29	which	which	PRON
fis-3194	386	30	activates	activate	VERB
fis-3194	386	31	the	the	DET
fis-3194	386	32	contribution	contribution	NOUN
fis-3194	386	33	of	of	ADP
fis-3194	386	34	cylindrical	cylindrical	ADJ
fis-3194	386	35	inclusions	inclusion	NOUN
fis-3194	386	36	to	to	PART
fis-3194	386	37	take	take	VERB
fis-3194	386	38	up	up	ADP
fis-3194	386	39	the	the	DET
fis-3194	386	40	forces	force	NOUN
fis-3194	386	41	developed	develop	VERB
fis-3194	386	42	.	.	PUNCT
fis-3194	387	1	k.	k.	PROPN
fis-3194	387	2	benyahi	benyahi	PROPN
fis-3194	387	3	et	et	PROPN
fis-3194	387	4	alii	alii	PROPN
fis-3194	387	5	,	,	PUNCT
fis-3194	387	6	frattura	frattura	PROPN
fis-3194	387	7	ed	ed	PROPN
fis-3194	387	8	integrità	integrità	PROPN
fis-3194	387	9	strutturale	strutturale	PROPN
fis-3194	387	10	,	,	PUNCT
fis-3194	387	11	58	58	NUM
fis-3194	387	12	(	(	PUNCT
fis-3194	387	13	2021	2021	NUM
fis-3194	387	14	)	)	PUNCT
fis-3194	387	15	319	319	NUM
fis-3194	387	16	-	-	SYM
fis-3194	387	17	343	343	NUM
fis-3194	387	18	;	;	PUNCT
fis-3194	387	19	doi	doi	NOUN
fis-3194	387	20	:	:	PUNCT
fis-3194	387	21	10.3221	10.3221	NUM
fis-3194	387	22	/	/	SYM
fis-3194	387	23	igf	igf	PROPN
fis-3194	387	24	-	-	PUNCT
fis-3194	387	25	esis.58.24	esis.58.24	PROPN
fis-3194	387	26	340	340	NUM
fis-3194	387	27	finally	finally	ADV
fis-3194	387	28	,	,	PUNCT
fis-3194	387	29	this	this	PRON
fis-3194	387	30	results	result	VERB
fis-3194	387	31	in	in	ADP
fis-3194	387	32	a	a	DET
fis-3194	387	33	level	level	NOUN
fis-3194	387	34	of	of	ADP
fis-3194	387	35	ductility	ductility	NOUN
fis-3194	387	36	allowing	allow	VERB
fis-3194	387	37	greater	great	ADJ
fis-3194	387	38	strain	strain	NOUN
fis-3194	387	39	of	of	ADP
fis-3194	387	40	the	the	DET
fis-3194	387	41	composite	composite	NOUN
fis-3194	387	42	.	.	PUNCT
fis-3194	388	1	note	note	VERB
fis-3194	388	2	that	that	SCONJ
fis-3194	388	3	the	the	DET
fis-3194	388	4	stress	stress	NOUN
fis-3194	388	5	corresponding	correspond	VERB
fis-3194	388	6	to	to	ADP
fis-3194	388	7	this	this	DET
fis-3194	388	8	level	level	NOUN
fis-3194	388	9	is	be	AUX
fis-3194	388	10	a	a	DET
fis-3194	388	11	function	function	NOUN
fis-3194	388	12	of	of	ADP
fis-3194	388	13	the	the	DET
fis-3194	388	14	percentage	percentage	NOUN
fis-3194	388	15	of	of	ADP
fis-3194	388	16	inclusions	inclusion	NOUN
fis-3194	388	17	.	.	PUNCT
fis-3194	389	1	also	also	ADV
fis-3194	389	2	,	,	PUNCT
fis-3194	389	3	we	we	PRON
fis-3194	389	4	notice	notice	VERB
fis-3194	389	5	,	,	PUNCT
fis-3194	389	6	the	the	PRON
fis-3194	389	7	more	more	ADV
fis-3194	389	8	we	we	PRON
fis-3194	389	9	increase	increase	VERB
fis-3194	389	10	the	the	DET
fis-3194	389	11	percentage	percentage	NOUN
fis-3194	389	12	of	of	ADP
fis-3194	389	13	fibers	fiber	NOUN
fis-3194	389	14	,	,	PUNCT
fis-3194	389	15	the	the	DET
fis-3194	389	16	shape	shape	NOUN
fis-3194	389	17	of	of	ADP
fis-3194	389	18	the	the	DET
fis-3194	389	19	local	local	ADJ
fis-3194	389	20	stress	stress	NOUN
fis-3194	389	21	-	-	PUNCT
fis-3194	389	22	strain	strain	NOUN
fis-3194	389	23	behavior	behavior	NOUN
fis-3194	389	24	curve	curve	NOUN
fis-3194	389	25	decreases	decrease	VERB
fis-3194	389	26	,	,	PUNCT
fis-3194	389	27	which	which	PRON
fis-3194	389	28	corresponds	correspond	VERB
fis-3194	389	29	to	to	ADP
fis-3194	389	30	a	a	DET
fis-3194	389	31	less	less	ADV
fis-3194	389	32	ductile	ductile	NOUN
fis-3194	389	33	behavior	behavior	NOUN
fis-3194	389	34	.	.	PUNCT
fis-3194	390	1	conclusion	conclusion	NOUN
fis-3194	390	2	he	he	PRON
fis-3194	390	3	effective	effective	ADJ
fis-3194	390	4	properties	property	NOUN
fis-3194	390	5	of	of	ADP
fis-3194	390	6	heterogeneous	heterogeneous	ADJ
fis-3194	390	7	materials	material	NOUN
fis-3194	390	8	(	(	PUNCT
fis-3194	390	9	young	young	ADJ
fis-3194	390	10	's	's	PART
fis-3194	390	11	elastic	elastic	ADJ
fis-3194	390	12	modulus	modulus	NOUN
fis-3194	390	13	(	(	PUNCT
fis-3194	390	14	e	e	NOUN
fis-3194	390	15	)	)	PUNCT
fis-3194	390	16	,	,	PUNCT
fis-3194	390	17	poisson	poisson	NOUN
fis-3194	390	18	ratio	ratio	NOUN
fis-3194	390	19	(	(	PUNCT
fis-3194	390	20	ν	ν	NOUN
fis-3194	390	21	)	)	PUNCT
fis-3194	390	22	,	,	PUNCT
fis-3194	390	23	shear	shear	NOUN
fis-3194	390	24	modulus	modulus	NOUN
fis-3194	390	25	(	(	PUNCT
fis-3194	390	26	g	g	NOUN
fis-3194	390	27	)	)	PUNCT
fis-3194	390	28	and	and	CCONJ
fis-3194	390	29	compressibility	compressibility	NOUN
fis-3194	390	30	modulus	modulus	NOUN
fis-3194	390	31	(	(	PUNCT
fis-3194	390	32	k	k	NOUN
fis-3194	390	33	)	)	PUNCT
fis-3194	390	34	)	)	PUNCT
fis-3194	390	35	were	be	AUX
fis-3194	390	36	evaluated	evaluate	VERB
fis-3194	390	37	for	for	ADP
fis-3194	390	38	different	different	ADJ
fis-3194	390	39	volume	volume	NOUN
fis-3194	390	40	fractions	fraction	NOUN
fis-3194	390	41	(	(	PUNCT
fis-3194	390	42	5	5	NUM
fis-3194	390	43	at	at	ADP
fis-3194	390	44	30	30	NUM
fis-3194	390	45	%	%	NOUN
fis-3194	390	46	)	)	PUNCT
fis-3194	390	47	,	,	PUNCT
fis-3194	390	48	taking	take	VERB
fis-3194	390	49	into	into	ADP
fis-3194	390	50	account	account	NOUN
fis-3194	390	51	the	the	DET
fis-3194	390	52	periodic	periodic	ADJ
fis-3194	390	53	displacement	displacement	ADJ
fis-3194	390	54	boundary	boundary	ADJ
fis-3194	390	55	conditions	condition	NOUN
fis-3194	390	56	.	.	PUNCT
fis-3194	391	1	for	for	ADP
fis-3194	391	2	very	very	ADV
fis-3194	391	3	low	low	ADJ
fis-3194	391	4	volume	volume	NOUN
fis-3194	391	5	fractions	fraction	NOUN
fis-3194	391	6	(	(	PUNCT
fis-3194	391	7	<	<	X
fis-3194	391	8	15	15	NUM
fis-3194	391	9	%	%	NOUN
fis-3194	391	10	)	)	PUNCT
fis-3194	391	11	,	,	PUNCT
fis-3194	391	12	the	the	DET
fis-3194	391	13	comparison	comparison	NOUN
fis-3194	391	14	of	of	ADP
fis-3194	391	15	the	the	DET
fis-3194	391	16	various	various	ADJ
fis-3194	391	17	results	result	NOUN
fis-3194	391	18	obtained	obtain	VERB
fis-3194	391	19	by	by	ADP
fis-3194	391	20	the	the	DET
fis-3194	391	21	numerical	numerical	ADJ
fis-3194	391	22	model	model	NOUN
fis-3194	391	23	of	of	ADP
fis-3194	391	24	periodic	periodic	ADJ
fis-3194	391	25	homogenization	homogenization	NOUN
fis-3194	391	26	(	(	PUNCT
fis-3194	391	27	pbc	pbc	PROPN
fis-3194	391	28	)	)	PUNCT
fis-3194	391	29	,	,	PUNCT
fis-3194	391	30	with	with	ADP
fis-3194	391	31	the	the	DET
fis-3194	391	32	results	result	NOUN
fis-3194	391	33	of	of	ADP
fis-3194	391	34	estimations	estimation	NOUN
fis-3194	391	35	of	of	ADP
fis-3194	391	36	the	the	DET
fis-3194	391	37	mori	mori	NOUN
fis-3194	391	38	-	-	PUNCT
fis-3194	391	39	tanaka	tanaka	PROPN
fis-3194	391	40	model	model	NOUN
fis-3194	391	41	[	[	X
fis-3194	391	42	35	35	NUM
fis-3194	391	43	]	]	PUNCT
fis-3194	391	44	is	be	AUX
fis-3194	391	45	satisfactory	satisfactory	ADJ
fis-3194	391	46	,	,	PUNCT
fis-3194	391	47	caused	cause	VERB
fis-3194	391	48	by	by	ADP
fis-3194	391	49	a	a	DET
fis-3194	391	50	weak	weak	ADJ
fis-3194	391	51	interaction	interaction	NOUN
fis-3194	391	52	between	between	ADP
fis-3194	391	53	phases	phase	NOUN
fis-3194	391	54	.	.	PUNCT
fis-3194	392	1	based	base	VERB
fis-3194	392	2	analysis	analysis	NOUN
fis-3194	392	3	of	of	ADP
fis-3194	392	4	the	the	DET
fis-3194	392	5	results	result	NOUN
fis-3194	392	6	,	,	PUNCT
fis-3194	392	7	the	the	DET
fis-3194	392	8	following	follow	VERB
fis-3194	392	9	conclusions	conclusion	NOUN
fis-3194	392	10	were	be	AUX
fis-3194	392	11	drawn	draw	VERB
fis-3194	392	12	:	:	PUNCT
fis-3194	392	13	on	on	ADP
fis-3194	392	14	the	the	DET
fis-3194	392	15	other	other	ADJ
fis-3194	392	16	hand	hand	NOUN
fis-3194	392	17	,	,	PUNCT
fis-3194	392	18	for	for	ADP
fis-3194	392	19	volume	volume	NOUN
fis-3194	392	20	fractions	fraction	NOUN
fis-3194	392	21	greater	great	ADJ
fis-3194	392	22	than	than	ADP
fis-3194	392	23	15	15	NUM
fis-3194	392	24	%	%	NOUN
fis-3194	392	25	,	,	PUNCT
fis-3194	392	26	the	the	DET
fis-3194	392	27	effective	effective	ADJ
fis-3194	392	28	mechanical	mechanical	ADJ
fis-3194	392	29	properties	property	NOUN
fis-3194	392	30	obtained	obtain	VERB
fis-3194	392	31	by	by	ADP
fis-3194	392	32	our	our	PRON
fis-3194	392	33	simulation	simulation	NOUN
fis-3194	392	34	are	be	AUX
fis-3194	392	35	overestimated	overestimate	VERB
fis-3194	392	36	,	,	PUNCT
fis-3194	392	37	they	they	PRON
fis-3194	392	38	are	be	AUX
fis-3194	392	39	more	more	ADV
fis-3194	392	40	rigid	rigid	ADJ
fis-3194	392	41	than	than	ADP
fis-3194	392	42	those	those	PRON
fis-3194	392	43	of	of	ADP
fis-3194	392	44	the	the	DET
fis-3194	392	45	semi	semi	ADJ
fis-3194	392	46	-	-	ADJ
fis-3194	392	47	analytical	analytical	ADJ
fis-3194	392	48	model	model	NOUN
fis-3194	392	49	of	of	ADP
fis-3194	392	50	mori	mori	NOUN
fis-3194	392	51	-	-	PUNCT
fis-3194	392	52	tanaka	tanaka	PROPN
fis-3194	392	53	[	[	X
fis-3194	392	54	35	35	NUM
fis-3194	392	55	]	]	PUNCT
fis-3194	392	56	.	.	PUNCT
fis-3194	393	1	it	it	PRON
fis-3194	393	2	is	be	AUX
fis-3194	393	3	concluded	conclude	VERB
fis-3194	393	4	that	that	SCONJ
fis-3194	393	5	the	the	DET
fis-3194	393	6	percentage	percentage	NOUN
fis-3194	393	7	of	of	ADP
fis-3194	393	8	inclusions	inclusion	NOUN
fis-3194	393	9	as	as	ADV
fis-3194	393	10	well	well	ADV
fis-3194	393	11	as	as	ADP
fis-3194	393	12	their	their	PRON
fis-3194	393	13	shape	shape	NOUN
fis-3194	393	14	,	,	PUNCT
fis-3194	393	15	and	and	CCONJ
fis-3194	393	16	orientation	orientation	NOUN
fis-3194	393	17	have	have	VERB
fis-3194	393	18	an	an	DET
fis-3194	393	19	influence	influence	NOUN
fis-3194	393	20	on	on	ADP
fis-3194	393	21	the	the	DET
fis-3194	393	22	mechanical	mechanical	ADJ
fis-3194	393	23	characteristics	characteristic	NOUN
fis-3194	393	24	of	of	ADP
fis-3194	393	25	the	the	DET
fis-3194	393	26	composite	composite	NOUN
fis-3194	393	27	.	.	PUNCT
fis-3194	394	1	the	the	DET
fis-3194	394	2	mazars	mazar	NOUN
fis-3194	394	3	damage	damage	NOUN
fis-3194	394	4	model	model	NOUN
fis-3194	394	5	(	(	PUNCT
fis-3194	394	6	[	[	X
fis-3194	394	7	29	29	NUM
fis-3194	394	8	]	]	PUNCT
fis-3194	394	9	,	,	PUNCT
fis-3194	394	10	[	[	X
fis-3194	394	11	30	30	NUM
fis-3194	394	12	]	]	PUNCT
fis-3194	394	13	)	)	PUNCT
fis-3194	394	14	allowed	allow	VERB
fis-3194	394	15	us	we	PRON
fis-3194	394	16	to	to	PART
fis-3194	394	17	introduce	introduce	VERB
fis-3194	394	18	a	a	DET
fis-3194	394	19	non	non	ADJ
fis-3194	394	20	-	-	ADJ
fis-3194	394	21	local	local	ADJ
fis-3194	394	22	formulation	formulation	NOUN
fis-3194	394	23	for	for	ADP
fis-3194	394	24	the	the	DET
fis-3194	394	25	evolution	evolution	NOUN
fis-3194	394	26	of	of	ADP
fis-3194	394	27	damage	damage	NOUN
fis-3194	394	28	at	at	ADP
fis-3194	394	29	the	the	DET
fis-3194	394	30	microstructure	microstructure	ADJ
fis-3194	394	31	level	level	NOUN
fis-3194	394	32	.	.	PUNCT
fis-3194	395	1	and	and	CCONJ
fis-3194	395	2	also	also	ADV
fis-3194	395	3	makes	make	VERB
fis-3194	395	4	it	it	PRON
fis-3194	395	5	possible	possible	ADJ
fis-3194	395	6	to	to	PART
fis-3194	395	7	reproduce	reproduce	VERB
fis-3194	395	8	the	the	DET
fis-3194	395	9	softening	soften	VERB
fis-3194	395	10	behavior	behavior	NOUN
fis-3194	395	11	of	of	ADP
fis-3194	395	12	the	the	DET
fis-3194	395	13	material	material	NOUN
fis-3194	395	14	,	,	PUNCT
fis-3194	395	15	which	which	PRON
fis-3194	395	16	is	be	AUX
fis-3194	395	17	gradually	gradually	ADV
fis-3194	395	18	reduced	reduce	VERB
fis-3194	395	19	as	as	SCONJ
fis-3194	395	20	the	the	DET
fis-3194	395	21	microcracks	microcrack	NOUN
fis-3194	395	22	develop	develop	VERB
fis-3194	395	23	until	until	ADP
fis-3194	395	24	reaching	reach	VERB
fis-3194	395	25	zero	zero	NUM
fis-3194	395	26	.	.	PUNCT
fis-3194	396	1	which	which	PRON
fis-3194	396	2	corresponds	correspond	VERB
fis-3194	396	3	to	to	ADP
fis-3194	396	4	a	a	DET
fis-3194	396	5	visible	visible	ADJ
fis-3194	396	6	macro	macro	NOUN
fis-3194	396	7	-	-	NOUN
fis-3194	396	8	crack	crack	NOUN
fis-3194	396	9	.	.	PUNCT
fis-3194	397	1	regarding	regard	VERB
fis-3194	397	2	the	the	DET
fis-3194	397	3	parametric	parametric	ADJ
fis-3194	397	4	study	study	NOUN
fis-3194	397	5	,	,	PUNCT
fis-3194	397	6	the	the	DET
fis-3194	397	7	following	follow	VERB
fis-3194	397	8	ascertainment	ascertainment	NOUN
fis-3194	397	9	were	be	AUX
fis-3194	397	10	drawn	draw	VERB
fis-3194	397	11	:	:	PUNCT
fis-3194	397	12	we	we	PRON
fis-3194	397	13	set	set	VERB
fis-3194	397	14	the	the	DET
fis-3194	397	15	parameter	parameter	NOUN
fis-3194	397	16	ta	ta	PROPN
fis-3194	398	1	and	and	CCONJ
fis-3194	398	2	we	we	PRON
fis-3194	398	3	varied	vary	VERB
fis-3194	398	4	the	the	DET
fis-3194	398	5	parameter	parameter	NOUN
fis-3194	398	6	tb	tb	ADP
fis-3194	398	7	under	under	ADP
fis-3194	398	8	different	different	ADJ
fis-3194	398	9	volume	volume	NOUN
fis-3194	398	10	fraction	fraction	NOUN
fis-3194	398	11	,	,	PUNCT
fis-3194	398	12	shows	show	VERB
fis-3194	398	13	us	we	PRON
fis-3194	398	14	that	that	SCONJ
fis-3194	398	15	the	the	DET
fis-3194	398	16	variation	variation	NOUN
fis-3194	398	17	of	of	ADP
fis-3194	398	18	the	the	DET
fis-3194	398	19	volume	volume	NOUN
fis-3194	398	20	fraction	fraction	NOUN
fis-3194	398	21	of	of	ADP
fis-3194	398	22	shaped	shape	VERB
fis-3194	398	23	inclusions	inclusion	NOUN
fis-3194	398	24	(	(	PUNCT
fis-3194	398	25	spheroidal	spheroidal	NOUN
fis-3194	398	26	,	,	PUNCT
fis-3194	398	27	ellipsoidal	ellipsoidal	ADJ
fis-3194	398	28	)	)	PUNCT
fis-3194	398	29	,	,	PUNCT
fis-3194	398	30	and	and	CCONJ
fis-3194	398	31	of	of	ADP
fis-3194	398	32	the	the	DET
fis-3194	398	33	parameter	parameter	NOUN
fis-3194	398	34	tb	tb	ADP
fis-3194	398	35	increases	increase	VERB
fis-3194	398	36	the	the	DET
fis-3194	398	37	elastic	elastic	ADJ
fis-3194	398	38	properties	property	NOUN
fis-3194	398	39	of	of	ADP
fis-3194	398	40	the	the	DET
fis-3194	398	41	composite	composite	ADJ
fis-3194	398	42	(	(	PUNCT
fis-3194	398	43	improvement	improvement	NOUN
fis-3194	398	44	of	of	ADP
fis-3194	398	45	the	the	DET
fis-3194	398	46	stiffness	stiffness	NOUN
fis-3194	398	47	)	)	PUNCT
fis-3194	398	48	.	.	PUNCT
fis-3194	399	1	and	and	CCONJ
fis-3194	399	2	,	,	PUNCT
fis-3194	399	3	it	it	PRON
fis-3194	399	4	slightly	slightly	ADV
fis-3194	399	5	changes	change	VERB
fis-3194	399	6	the	the	DET
fis-3194	399	7	shape	shape	NOUN
fis-3194	399	8	of	of	ADP
fis-3194	399	9	damage	damage	NOUN
fis-3194	399	10	curve	curve	NOUN
fis-3194	399	11	(	(	PUNCT
fis-3194	399	12	the	the	DET
fis-3194	399	13	composite	composite	NOUN
fis-3194	399	14	becomes	become	VERB
fis-3194	399	15	a	a	DET
fis-3194	399	16	little	little	ADV
fis-3194	399	17	less	less	ADJ
fis-3194	399	18	ductile	ductile	NOUN
fis-3194	399	19	)	)	PUNCT
fis-3194	399	20	.	.	PUNCT
fis-3194	400	1	on	on	ADP
fis-3194	400	2	the	the	DET
fis-3194	400	3	other	other	ADJ
fis-3194	400	4	hand	hand	NOUN
fis-3194	400	5	for	for	ADP
fis-3194	400	6	an	an	DET
fis-3194	400	7	average	average	ADJ
fis-3194	400	8	volume	volume	NOUN
fis-3194	400	9	fraction	fraction	NOUN
fis-3194	400	10	(	(	PUNCT
fis-3194	400	11	taken	take	VERB
fis-3194	400	12	equal	equal	ADJ
fis-3194	400	13	to	to	ADP
fis-3194	400	14	20	20	NUM
fis-3194	400	15	%	%	NOUN
fis-3194	400	16	)	)	PUNCT
fis-3194	400	17	,	,	PUNCT
fis-3194	400	18	and	and	CCONJ
fis-3194	400	19	a	a	DET
fis-3194	400	20	fixed	fix	VERB
fis-3194	400	21	value	value	NOUN
fis-3194	400	22	of	of	ADP
fis-3194	400	23	the	the	DET
fis-3194	400	24	parameter	parameter	NOUN
fis-3194	400	25	tb	tb	ADP
fis-3194	400	26	corresponding	correspond	VERB
fis-3194	400	27	to	to	ADP
fis-3194	400	28	this	this	DET
fis-3194	400	29	percentage	percentage	NOUN
fis-3194	400	30	.	.	PUNCT
fis-3194	401	1	shows	show	VERB
fis-3194	401	2	us	we	PRON
fis-3194	401	3	that	that	SCONJ
fis-3194	401	4	the	the	DET
fis-3194	401	5	variation	variation	NOUN
fis-3194	401	6	of	of	ADP
fis-3194	401	7	the	the	DET
fis-3194	401	8	parameter	parameter	NOUN
fis-3194	402	1	ta	ta	PROPN
fis-3194	402	2	makes	make	VERB
fis-3194	402	3	it	it	PRON
fis-3194	402	4	possible	possible	ADJ
fis-3194	402	5	to	to	PART
fis-3194	402	6	have	have	VERB
fis-3194	402	7	a	a	DET
fis-3194	402	8	sudden	sudden	ADJ
fis-3194	402	9	drop	drop	NOUN
fis-3194	402	10	in	in	ADP
fis-3194	402	11	the	the	DET
fis-3194	402	12	resistance	resistance	NOUN
fis-3194	402	13	of	of	ADP
fis-3194	402	14	the	the	DET
fis-3194	402	15	composite	composite	NOUN
fis-3194	402	16	(	(	PUNCT
fis-3194	402	17	no	no	DET
fis-3194	402	18	residual	residual	ADJ
fis-3194	402	19	stress	stress	NOUN
fis-3194	402	20	)	)	PUNCT
fis-3194	402	21	,	,	PUNCT
fis-3194	402	22	as	as	ADV
fis-3194	402	23	well	well	ADV
fis-3194	402	24	as	as	ADP
fis-3194	402	25	a	a	DET
fis-3194	402	26	very	very	ADV
fis-3194	402	27	low	low	ADJ
fis-3194	402	28	contribution	contribution	NOUN
fis-3194	402	29	of	of	ADP
fis-3194	402	30	inclusions	inclusion	NOUN
fis-3194	402	31	in	in	ADP
fis-3194	402	32	the	the	DET
fis-3194	402	33	softening	soften	VERB
fis-3194	402	34	part	part	NOUN
fis-3194	402	35	of	of	ADP
fis-3194	402	36	the	the	DET
fis-3194	402	37	composite	composite	NOUN
fis-3194	402	38	.	.	PUNCT
fis-3194	403	1	and	and	CCONJ
fis-3194	403	2	,	,	PUNCT
fis-3194	403	3	it	it	PRON
fis-3194	403	4	changes	change	VERB
fis-3194	403	5	the	the	DET
fis-3194	403	6	shape	shape	NOUN
fis-3194	403	7	of	of	ADP
fis-3194	403	8	the	the	DET
fis-3194	403	9	composite	composite	ADJ
fis-3194	403	10	damage	damage	NOUN
fis-3194	403	11	curve	curve	NOUN
fis-3194	403	12	(	(	PUNCT
fis-3194	403	13	the	the	DET
fis-3194	403	14	composite	composite	NOUN
fis-3194	403	15	becomes	become	VERB
fis-3194	403	16	more	more	ADV
fis-3194	403	17	fragile	fragile	ADJ
fis-3194	403	18	)	)	PUNCT
fis-3194	403	19	.	.	PUNCT
fis-3194	404	1	the	the	DET
fis-3194	404	2	damage	damage	NOUN
fis-3194	404	3	model	model	NOUN
fis-3194	404	4	of	of	ADP
fis-3194	404	5	bouafia	bouafia	PROPN
fis-3194	404	6	et	et	PROPN
fis-3194	404	7	al	al	PROPN
fis-3194	404	8	.	.	PUNCT
fis-3194	405	1	(	(	PUNCT
fis-3194	405	2	[	[	X
fis-3194	405	3	31	31	NUM
fis-3194	405	4	]	]	PUNCT
fis-3194	405	5	,	,	PUNCT
fis-3194	405	6	[	[	X
fis-3194	405	7	32	32	NUM
fis-3194	405	8	]	]	PUNCT
fis-3194	405	9	)	)	PUNCT
fis-3194	405	10	,	,	PUNCT
fis-3194	405	11	allowed	allow	VERB
fis-3194	405	12	us	we	PRON
fis-3194	405	13	to	to	PART
fis-3194	405	14	introduce	introduce	VERB
fis-3194	405	15	the	the	DET
fis-3194	405	16	evolution	evolution	NOUN
fis-3194	405	17	of	of	ADP
fis-3194	405	18	damage	damage	NOUN
fis-3194	405	19	through	through	ADP
fis-3194	405	20	a	a	DET
fis-3194	405	21	ductility	ductility	NOUN
fis-3194	405	22	plateau	plateau	NOUN
fis-3194	405	23	,	,	PUNCT
fis-3194	405	24	which	which	PRON
fis-3194	405	25	is	be	AUX
fis-3194	405	26	a	a	DET
fis-3194	405	27	function	function	NOUN
fis-3194	405	28	of	of	ADP
fis-3194	405	29	the	the	DET
fis-3194	405	30	characteristics	characteristic	NOUN
fis-3194	405	31	of	of	ADP
fis-3194	405	32	cylindrical	cylindrical	ADJ
fis-3194	405	33	inclusions	inclusion	NOUN
fis-3194	405	34	(	(	PUNCT
fis-3194	405	35	percentage	percentage	NOUN
fis-3194	405	36	,	,	PUNCT
fis-3194	405	37	diameters	diameter	NOUN
fis-3194	405	38	,	,	PUNCT
fis-3194	405	39	orientation	orientation	NOUN
fis-3194	405	40	and	and	CCONJ
fis-3194	405	41	bond	bond	NOUN
fis-3194	405	42	stress	stress	NOUN
fis-3194	405	43	)	)	PUNCT
fis-3194	405	44	.	.	PUNCT
fis-3194	406	1	acknowledgements	acknowledgement	NOUN
fis-3194	406	2	he	he	PRON
fis-3194	406	3	authors	author	NOUN
fis-3194	406	4	wish	wish	VERB
fis-3194	406	5	to	to	PART
fis-3194	406	6	thank	thank	VERB
fis-3194	406	7	the	the	DET
fis-3194	406	8	algerian	algerian	PROPN
fis-3194	406	9	ministry	ministry	PROPN
fis-3194	406	10	of	of	ADP
fis-3194	406	11	higher	high	ADJ
fis-3194	406	12	education	education	NOUN
fis-3194	406	13	and	and	CCONJ
fis-3194	406	14	scientific	scientific	ADJ
fis-3194	406	15	research	research	NOUN
fis-3194	406	16	for	for	ADP
fis-3194	406	17	funding	fund	VERB
fis-3194	406	18	the	the	DET
fis-3194	406	19	university	university	NOUN
fis-3194	406	20	education	education	NOUN
fis-3194	406	21	research	research	NOUN
fis-3194	406	22	project	project	NOUN
fis-3194	406	23	(	(	PUNCT
fis-3194	406	24	prfu	prfu	NOUN
fis-3194	406	25	–	–	PUNCT
fis-3194	406	26	n	n	CCONJ
fis-3194	406	27	°	°	NUM
fis-3194	406	28	a01l02un150120180004	a01l02un150120180004	NOUN
fis-3194	406	29	)	)	PUNCT
fis-3194	406	30	and	and	CCONJ
fis-3194	406	31	tassili	tassili	NOUN
fis-3194	406	32	project	project	NOUN
fis-3194	406	33	(	(	PUNCT
fis-3194	406	34	phc	phc	PROPN
fis-3194	406	35	–	–	PUNCT
fis-3194	406	36	43940nj	43940nj	NOUN
fis-3194	406	37	)	)	PUNCT
fis-3194	406	38	.	.	PUNCT
fis-3194	407	1	declaration	declaration	NOUN
fis-3194	407	2	of	of	ADP
fis-3194	407	3	interest	interest	NOUN
fis-3194	407	4	statement	statement	NOUN
fis-3194	407	5	n	n	PRON
fis-3194	407	6	behalf	behalf	NOUN
fis-3194	407	7	of	of	ADP
fis-3194	407	8	all	all	DET
fis-3194	407	9	authors	author	NOUN
fis-3194	407	10	,	,	PUNCT
fis-3194	407	11	the	the	DET
fis-3194	407	12	corresponding	corresponding	ADJ
fis-3194	407	13	author	author	NOUN
fis-3194	407	14	states	state	VERB
fis-3194	407	15	that	that	SCONJ
fis-3194	407	16	there	there	PRON
fis-3194	407	17	is	be	VERB
fis-3194	407	18	no	no	DET
fis-3194	407	19	conflict	conflict	NOUN
fis-3194	407	20	of	of	ADP
fis-3194	407	21	interest	interest	NOUN
fis-3194	407	22	.	.	PUNCT
fis-3194	408	1	notation	notation	NOUN
fis-3194	408	2	sj	sj	INTJ
fis-3194	408	3	:	:	PUNCT
fis-3194	408	4	the	the	DET
fis-3194	408	5	jth	jth	PROPN
fis-3194	408	6	area	area	PROPN
fis-3194	408	7	,	,	PUNCT
fis-3194	408	8	t	t	PROPN
fis-3194	408	9	t	t	PROPN
fis-3194	408	10	o	o	PROPN
fis-3194	408	11	k.	k.	PROPN
fis-3194	408	12	benyahi	benyahi	PROPN
fis-3194	408	13	et	et	PROPN
fis-3194	408	14	alii	alii	PROPN
fis-3194	408	15	,	,	PUNCT
fis-3194	408	16	frattura	frattura	PROPN
fis-3194	408	17	ed	ed	PROPN
fis-3194	408	18	integrità	integrità	PROPN
fis-3194	408	19	strutturale	strutturale	PROPN
fis-3194	408	20	,	,	PUNCT
fis-3194	408	21	58	58	NUM
fis-3194	408	22	(	(	PUNCT
fis-3194	408	23	2021	2021	NUM
fis-3194	408	24	)	)	PUNCT
fis-3194	408	25	319	319	NUM
fis-3194	408	26	-	-	SYM
fis-3194	408	27	343	343	NUM
fis-3194	408	28	;	;	PUNCT
fis-3194	408	29	doi	doi	NOUN
fis-3194	408	30	:	:	PUNCT
fis-3194	408	31	10.3221	10.3221	NUM
fis-3194	408	32	/	/	SYM
fis-3194	408	33	igf	igf	PROPN
fis-3194	408	34	-	-	PUNCT
fis-3194	408	35	esis.58.24	esis.58.24	PROPN
fis-3194	408	36	341	341	NUM
fis-3194	408	37	nj	nj	NOUN
fis-3194	408	38	:	:	PUNCT
fis-3194	408	39	the	the	DET
fis-3194	408	40	unit	unit	NOUN
fis-3194	408	41	normal	normal	ADJ
fis-3194	408	42	,	,	PUNCT
fis-3194	408	43	ui	ui	PROPN
fis-3194	408	44	:	:	PUNCT
fis-3194	408	45	the	the	DET
fis-3194	408	46	ith	ith	PROPN
fis-3194	408	47	displacement	displacement	NOUN
fis-3194	408	48	,	,	PUNCT
fis-3194	408	49	sj	sj	INTJ
fis-3194	408	50	:	:	PUNCT
fis-3194	408	51	the	the	DET
fis-3194	408	52	outer	outer	ADJ
fis-3194	408	53	limit	limit	NOUN
fis-3194	408	54	of	of	ADP
fis-3194	408	55	the	the	DET
fis-3194	408	56	rve	rve	PROPN
fis-3194	408	57	,	,	PUNCT
fis-3194	408	58	e11	e11	X
fis-3194	408	59	,	,	PUNCT
fis-3194	408	60	e22	e22	NOUN
fis-3194	408	61	and	and	CCONJ
fis-3194	408	62	e33	e33	PROPN
fis-3194	408	63	:	:	PUNCT
fis-3194	408	64	the	the	DET
fis-3194	408	65	moduli	modulus	NOUN
fis-3194	408	66	of	of	ADP
fis-3194	408	67	elasticity	elasticity	NOUN
fis-3194	408	68	of	of	ADP
fis-3194	408	69	extensions	extension	NOUN
fis-3194	408	70	along	along	ADP
fis-3194	408	71	directions	direction	NOUN
fis-3194	408	72	1	1	NUM
fis-3194	408	73	,	,	PUNCT
fis-3194	408	74	2	2	NUM
fis-3194	408	75	and	and	CCONJ
fis-3194	408	76	3	3	NUM
fis-3194	408	77	,	,	PUNCT
fis-3194	408	78	respectively	respectively	ADV
fis-3194	408	79	,	,	PUNCT
fis-3194	408	80	νij	νij	PROPN
fis-3194	408	81	(	(	PUNCT
fis-3194	408	82	i	i	PROPN
fis-3194	408	83	,	,	PUNCT
fis-3194	408	84	j	j	PROPN
fis-3194	408	85	=	=	SYM
fis-3194	408	86	1	1	NUM
fis-3194	408	87	,	,	PUNCT
fis-3194	408	88	2	2	NUM
fis-3194	408	89	,	,	PUNCT
fis-3194	408	90	3	3	NUM
fis-3194	408	91	)	)	PUNCT
fis-3194	408	92	:	:	PUNCT
fis-3194	408	93	poisson	poisson	PROPN
fis-3194	408	94	's	's	PART
fis-3194	408	95	ratios	ratio	NOUN
fis-3194	408	96	,	,	PUNCT
fis-3194	408	97	g12	g12	NOUN
fis-3194	408	98	,	,	PUNCT
fis-3194	408	99	g13	g13	PROPN
fis-3194	408	100	,	,	PUNCT
fis-3194	408	101	and	and	CCONJ
fis-3194	408	102	g23	g23	NOUN
fis-3194	408	103	:	:	PUNCT
fis-3194	408	104	shear	shear	NOUN
fis-3194	408	105	moduli	moduli	PROPN
fis-3194	408	106	,	,	PUNCT
fis-3194	408	107	ui	ui	PROPN
fis-3194	409	1	p	p	X
fis-3194	409	2	:	:	PUNCT
fis-3194	409	3	the	the	DET
fis-3194	409	4	nodal	nodal	ADJ
fis-3194	409	5	variable	variable	NOUN
fis-3194	409	6	at	at	ADP
fis-3194	409	7	the	the	DET
fis-3194	409	8	node	node	PROPN
fis-3194	409	9	p	p	NOUN
fis-3194	409	10	,	,	PUNCT
fis-3194	409	11	of	of	ADP
fis-3194	409	12	degree	degree	NOUN
fis-3194	409	13	of	of	ADP
fis-3194	409	14	freedom	freedom	NOUN
fis-3194	409	15	i	i	PRON
fis-3194	409	16	,	,	PUNCT
fis-3194	409	17	e	e	PROPN
fis-3194	409	18	:	:	PUNCT
fis-3194	409	19	hooke	hooke	PROPN
fis-3194	409	20	's	's	PART
fis-3194	409	21	matrix	matrix	NOUN
fis-3194	409	22	,	,	PUNCT
fis-3194	409	23	d	d	X
fis-3194	409	24	:	:	PUNCT
fis-3194	409	25	the	the	DET
fis-3194	409	26	damage	damage	NOUN
fis-3194	409	27	variable	variable	NOUN
fis-3194	409	28	,	,	PUNCT
fis-3194	409	29	εe	εe	ADP
fis-3194	409	30	:	:	PUNCT
fis-3194	409	31	elastic	elastic	ADJ
fis-3194	409	32	strain	strain	NOUN
fis-3194	409	33	,	,	PUNCT
fis-3194	409	34	eb0	eb0	NOUN
fis-3194	409	35	:	:	PUNCT
fis-3194	409	36	modulus	modulus	NOUN
fis-3194	409	37	of	of	ADP
fis-3194	409	38	longitudinal	longitudinal	ADJ
fis-3194	409	39	elasticity	elasticity	NOUN
fis-3194	409	40	of	of	ADP
fis-3194	409	41	concrete	concrete	NOUN
fis-3194	409	42	,	,	PUNCT
fis-3194	409	43	ϖ	ϖ	NOUN
fis-3194	409	44	:	:	PUNCT
fis-3194	409	45	percentage	percentage	NOUN
fis-3194	409	46	by	by	ADP
fis-3194	409	47	volume	volume	NOUN
fis-3194	409	48	of	of	ADP
fis-3194	409	49	fibers	fiber	NOUN
fis-3194	409	50	,	,	PUNCT
fis-3194	409	51	θ0	θ0	PROPN
fis-3194	409	52	:	:	PUNCT
fis-3194	409	53	fiber	fiber	NOUN
fis-3194	409	54	orientation	orientation	NOUN
fis-3194	409	55	coefficient	coefficient	NOUN
fis-3194	409	56	,	,	PUNCT
fis-3194	409	57	lr	lr	INTJ
fis-3194	409	58	:	:	PUNCT
fis-3194	409	59	reference	reference	NOUN
fis-3194	409	60	length	length	NOUN
fis-3194	409	61	,	,	PUNCT
fis-3194	409	62	β	β	X
fis-3194	409	63	:	:	PUNCT
fis-3194	409	64	model	model	NOUN
fis-3194	409	65	constant	constant	ADJ
fis-3194	409	66	,	,	PUNCT
fis-3194	409	67	h	h	NOUN
fis-3194	409	68	:	:	PUNCT
fis-3194	409	69	composite	composite	ADJ
fis-3194	409	70	cross	cross	NOUN
fis-3194	409	71	section	section	NOUN
fis-3194	409	72	height	height	NOUN
fis-3194	409	73	,	,	PUNCT
fis-3194	409	74	lf	lf	ADP
fis-3194	409	75	:	:	PUNCT
fis-3194	409	76	fiber	fiber	NOUN
fis-3194	409	77	length	length	NOUN
fis-3194	409	78	,	,	PUNCT
fis-3194	409	79	ef	ef	PROPN
fis-3194	409	80	:	:	PUNCT
fis-3194	409	81	elastic	elastic	ADJ
fis-3194	409	82	modulus	modulus	NOUN
fis-3194	409	83	of	of	ADP
fis-3194	409	84	the	the	DET
fis-3194	409	85	fiber	fiber	NOUN
fis-3194	409	86	,	,	PUNCT
fis-3194	409	87	n	n	PROPN
fis-3194	409	88	:	:	PUNCT
fis-3194	409	89	fiber	fiber	NOUN
fis-3194	409	90	-	-	PUNCT
fis-3194	409	91	concrete	concrete	ADJ
fis-3194	409	92	equivalence	equivalence	NOUN
fis-3194	409	93	coefficient	coefficient	NOUN
fis-3194	409	94	,	,	PUNCT
fis-3194	409	95	τu	τu	ADP
fis-3194	409	96	:	:	PUNCT
fis-3194	409	97	ultimate	ultimate	ADJ
fis-3194	409	98	fiber	fiber	NOUN
fis-3194	409	99	-	-	PUNCT
fis-3194	409	100	concrete	concrete	NOUN
fis-3194	409	101	bond	bond	NOUN
fis-3194	409	102	stress	stress	NOUN
fis-3194	409	103	,	,	PUNCT
fis-3194	409	104	ϕ	ϕ	NOUN
fis-3194	409	105	:	:	PUNCT
fis-3194	409	106	diameter	diameter	NOUN
fis-3194	409	107	of	of	ADP
fis-3194	409	108	a	a	DET
fis-3194	409	109	fiber	fiber	NOUN
fis-3194	409	110	,	,	PUNCT
fis-3194	409	111	fft	fft	NOUN
fis-3194	409	112	:	:	PUNCT
fis-3194	409	113	composite	composite	ADJ
fis-3194	409	114	tensile	tensile	NOUN
fis-3194	409	115	strength	strength	NOUN
fis-3194	409	116	,	,	PUNCT
fis-3194	409	117	εft	εft	NOUN
fis-3194	409	118	:	:	PUNCT
fis-3194	409	119	composite	composite	ADJ
fis-3194	409	120	cracking	cracking	NOUN
fis-3194	409	121	strain	strain	NOUN
fis-3194	409	122	,	,	PUNCT
fis-3194	409	123	εrf	εrf	VERB
fis-3194	409	124	:	:	PUNCT
fis-3194	409	125	fiber	fiber	NOUN
fis-3194	409	126	breaking	break	VERB
fis-3194	409	127	strain	strain	NOUN
fis-3194	409	128	,	,	PUNCT
fis-3194	409	129	εrt	εrt	VERB
fis-3194	409	130	:	:	PUNCT
fis-3194	409	131	breaking	break	VERB
fis-3194	409	132	strain	strain	NOUN
fis-3194	409	133	of	of	ADP
fis-3194	409	134	the	the	DET
fis-3194	409	135	composite	composite	NOUN
fis-3194	409	136	in	in	ADP
fis-3194	409	137	tension	tension	NOUN
fis-3194	409	138	.	.	PUNCT
fis-3194	410	1	references	reference	NOUN
fis-3194	410	2	[	[	X
fis-3194	410	3	1	1	NUM
fis-3194	410	4	]	]	PUNCT
fis-3194	410	5	suquet	suquet	NOUN
fis-3194	410	6	,	,	PUNCT
fis-3194	410	7	p.	p.	NOUN
fis-3194	410	8	(	(	PUNCT
fis-3194	410	9	1987	1987	NUM
fis-3194	410	10	)	)	PUNCT
fis-3194	410	11	.	.	PUNCT
fis-3194	411	1	elements	element	NOUN
fis-3194	411	2	of	of	ADP
fis-3194	411	3	homogenization	homogenization	NOUN
fis-3194	411	4	theory	theory	NOUN
fis-3194	411	5	for	for	ADP
fis-3194	411	6	inelastic	inelastic	ADJ
fis-3194	411	7	solid	solid	ADJ
fis-3194	411	8	mechanics	mechanic	NOUN
fis-3194	411	9	.	.	PUNCT
fis-3194	412	1	sanchez	sanchez	PROPN
fis-3194	412	2	-	-	PUNCT
fis-3194	412	3	palencia	palencia	PROPN
fis-3194	412	4	,	,	PUNCT
fis-3194	412	5	e.	e.	PROPN
fis-3194	412	6	,	,	PUNCT
fis-3194	412	7	zaoui	zaoui	PROPN
fis-3194	412	8	,	,	PUNCT
fis-3194	412	9	a.	a.	PROPN
fis-3194	412	10	(	(	PUNCT
fis-3194	412	11	eds	eds	PROPN
fis-3194	412	12	.	.	PUNCT
fis-3194	412	13	)	)	PUNCT
fis-3194	412	14	,	,	PUNCT
fis-3194	412	15	homogenization	homogenization	NOUN
fis-3194	412	16	techniques	technique	NOUN
fis-3194	412	17	for	for	ADP
fis-3194	412	18	composite	composite	ADJ
fis-3194	412	19	media	medium	NOUN
fis-3194	412	20	.	.	PUNCT
fis-3194	413	1	springer	springer	NOUN
fis-3194	413	2	-	-	PUNCT
fis-3194	413	3	verlag	verlag	PROPN
fis-3194	413	4	,	,	PUNCT
fis-3194	413	5	berlin	berlin	PROPN
fis-3194	413	6	,	,	PUNCT
fis-3194	413	7	pp	pp	ADP
fis-3194	413	8	.	.	PUNCT
fis-3194	414	1	194–275	194–275	NUM
fis-3194	414	2	.	.	PUNCT
fis-3194	415	1	doi	doi	NOUN
fis-3194	415	2	:	:	PUNCT
fis-3194	415	3	10.1007/3	10.1007/3	NUM
fis-3194	415	4	-	-	PUNCT
fis-3194	415	5	540	540	NUM
fis-3194	415	6	-	-	PUNCT
fis-3194	415	7	17616	17616	NUM
fis-3194	415	8	-	-	SYM
fis-3194	415	9	0	0	PUNCT
fis-3194	416	1	[	[	X
fis-3194	416	2	2	2	NUM
fis-3194	416	3	]	]	SYM
fis-3194	416	4	mori	mori	NOUN
fis-3194	416	5	,	,	PUNCT
fis-3194	416	6	t.	t.	PROPN
fis-3194	416	7	,	,	PUNCT
fis-3194	416	8	tanaka	tanaka	PROPN
fis-3194	416	9	,	,	PUNCT
fis-3194	416	10	k.	k.	PROPN
fis-3194	416	11	(	(	PUNCT
fis-3194	416	12	1973	1973	NUM
fis-3194	416	13	)	)	PUNCT
fis-3194	416	14	.	.	PUNCT
fis-3194	417	1	average	average	ADJ
fis-3194	417	2	stress	stress	NOUN
fis-3194	417	3	in	in	ADP
fis-3194	417	4	matrix	matrix	NOUN
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fis-3194	417	6	average	average	ADJ
fis-3194	417	7	elastic	elastic	ADJ
fis-3194	417	8	energy	energy	NOUN
fis-3194	417	9	of	of	ADP
fis-3194	417	10	materials	material	NOUN
fis-3194	417	11	with	with	ADP
fis-3194	417	12	misfitting	misfit	VERB
fis-3194	417	13	inclusions	inclusion	NOUN
fis-3194	417	14	.	.	PUNCT
fis-3194	418	1	acta	acta	PROPN
fis-3194	418	2	metallurgica	metallurgica	PROPN
fis-3194	418	3	,	,	PUNCT
fis-3194	418	4	21(5	21(5	NUM
fis-3194	418	5	)	)	PUNCT
fis-3194	418	6	,	,	PUNCT
fis-3194	418	7	pp	pp	PROPN
fis-3194	418	8	.	.	PUNCT
fis-3194	419	1	571	571	NUM
fis-3194	419	2	-	-	SYM
fis-3194	419	3	574	574	NUM
fis-3194	419	4	.	.	PUNCT
fis-3194	420	1	doi	doi	NOUN
fis-3194	420	2	:	:	PUNCT
fis-3194	420	3	10.1016/0001	10.1016/0001	NUM
fis-3194	420	4	-	-	SYM
fis-3194	420	5	6160(73)90064	6160(73)90064	PROPN
fis-3194	420	6	-	-	PUNCT
fis-3194	420	7	3	3	NUM
fis-3194	420	8	.	.	PUNCT
fis-3194	421	1	[	[	X
fis-3194	421	2	3	3	NUM
fis-3194	421	3	]	]	X
fis-3194	421	4	hill	hill	PROPN
fis-3194	421	5	,	,	PUNCT
fis-3194	421	6	r.	r.	PROPN
fis-3194	421	7	(	(	PUNCT
fis-3194	421	8	1965	1965	NUM
fis-3194	421	9	)	)	PUNCT
fis-3194	421	10	.	.	PUNCT
fis-3194	422	1	a	a	DET
fis-3194	422	2	self	self	NOUN
fis-3194	422	3	-	-	PUNCT
fis-3194	422	4	consistent	consistent	ADJ
fis-3194	422	5	mechanics	mechanic	NOUN
fis-3194	422	6	of	of	ADP
fis-3194	422	7	composite	composite	ADJ
fis-3194	422	8	materials	material	NOUN
fis-3194	422	9	.	.	PUNCT
fis-3194	423	1	journal	journal	NOUN
fis-3194	423	2	of	of	ADP
fis-3194	423	3	the	the	DET
fis-3194	423	4	mechanics	mechanic	NOUN
fis-3194	423	5	and	and	CCONJ
fis-3194	423	6	physics	physic	NOUN
fis-3194	423	7	of	of	ADP
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fis-3194	423	9	13	13	NUM
fis-3194	423	10	,	,	PUNCT
fis-3194	423	11	pp	pp	ADJ
fis-3194	423	12	.	.	PUNCT
fis-3194	424	1	213	213	NUM
fis-3194	424	2	-	-	SYM
fis-3194	424	3	222	222	NUM
fis-3194	424	4	.	.	PUNCT
fis-3194	425	1	doi	doi	NOUN
fis-3194	425	2	:	:	PUNCT
fis-3194	425	3	10.1016/0022	10.1016/0022	NUM
fis-3194	425	4	-	-	SYM
fis-3194	425	5	5096(65)90010	5096(65)90010	NUM
fis-3194	425	6	-	-	SYM
fis-3194	425	7	4	4	NUM
fis-3194	425	8	.	.	PUNCT
fis-3194	426	1	[	[	X
fis-3194	426	2	4	4	NUM
fis-3194	426	3	]	]	X
fis-3194	426	4	eshelby	eshelby	PROPN
fis-3194	426	5	,	,	PUNCT
fis-3194	426	6	j.d	j.d	PROPN
fis-3194	426	7	.	.	PROPN
fis-3194	426	8	(	(	PUNCT
fis-3194	426	9	1957	1957	NUM
fis-3194	426	10	)	)	PUNCT
fis-3194	426	11	.	.	PUNCT
fis-3194	427	1	the	the	DET
fis-3194	427	2	determination	determination	NOUN
fis-3194	427	3	of	of	ADP
fis-3194	427	4	the	the	DET
fis-3194	427	5	elastic	elastic	ADJ
fis-3194	427	6	field	field	NOUN
fis-3194	427	7	of	of	ADP
fis-3194	427	8	an	an	DET
fis-3194	427	9	ellipsoidal	ellipsoidal	ADJ
fis-3194	427	10	inclusion	inclusion	NOUN
fis-3194	427	11	and	and	CCONJ
fis-3194	427	12	related	related	ADJ
fis-3194	427	13	problems	problem	NOUN
fis-3194	427	14	.	.	PUNCT
fis-3194	428	1	proceedings	proceeding	NOUN
fis-3194	428	2	of	of	ADP
fis-3194	428	3	the	the	DET
fis-3194	428	4	royal	royal	ADJ
fis-3194	428	5	society	society	NOUN
fis-3194	428	6	of	of	ADP
fis-3194	428	7	london	london	PROPN
fis-3194	428	8	.	.	PUNCT
fis-3194	429	1	series	series	PROPN
fis-3194	429	2	a.	a.	PROPN
fis-3194	429	3	mathematical	mathematical	PROPN
fis-3194	429	4	and	and	CCONJ
fis-3194	429	5	physical	physical	ADJ
fis-3194	429	6	sciences	science	NOUN
fis-3194	429	7	,	,	PUNCT
fis-3194	429	8	241(1226	241(1226	NUM
fis-3194	429	9	)	)	PUNCT
fis-3194	429	10	,	,	PUNCT
fis-3194	429	11	pp	pp	PROPN
fis-3194	429	12	.	.	PUNCT
fis-3194	430	1	376	376	NUM
fis-3194	430	2	-	-	SYM
fis-3194	430	3	396	396	NUM
fis-3194	430	4	.	.	PUNCT
fis-3194	431	1	doi	doi	NOUN
fis-3194	431	2	:	:	PUNCT
fis-3194	431	3	10.1098	10.1098	NUM
fis-3194	431	4	/	/	SYM
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fis-3194	431	6	.	.	PUNCT
fis-3194	432	1	[	[	X
fis-3194	432	2	5	5	NUM
fis-3194	432	3	]	]	SYM
fis-3194	432	4	michel	michel	PROPN
fis-3194	432	5	,	,	PUNCT
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fis-3194	432	7	.	.	PROPN
fis-3194	432	8	,	,	PUNCT
fis-3194	432	9	moulinec	moulinec	PROPN
fis-3194	432	10	,	,	PUNCT
fis-3194	432	11	h.	h.	PROPN
fis-3194	432	12	,	,	PUNCT
fis-3194	432	13	suquet	suquet	PROPN
fis-3194	432	14	,	,	PUNCT
fis-3194	432	15	p.	p.	NOUN
fis-3194	432	16	effective	effective	ADJ
fis-3194	432	17	properties	property	NOUN
fis-3194	432	18	of	of	ADP
fis-3194	432	19	composite	composite	ADJ
fis-3194	432	20	materials	material	NOUN
fis-3194	432	21	with	with	ADP
fis-3194	432	22	periodic	periodic	ADJ
fis-3194	432	23	microstructure	microstructure	NOUN
fis-3194	432	24	:	:	PUNCT
fis-3194	432	25	a	a	DET
fis-3194	432	26	computational	computational	ADJ
fis-3194	432	27	approach	approach	NOUN
fis-3194	432	28	.	.	PUNCT
fis-3194	433	1	computer	computer	NOUN
fis-3194	433	2	methods	method	NOUN
fis-3194	433	3	in	in	ADP
fis-3194	433	4	applied	applied	ADJ
fis-3194	433	5	mechanics	mechanic	NOUN
fis-3194	433	6	and	and	CCONJ
fis-3194	433	7	engineering	engineer	VERB
fis-3194	433	8	172	172	NUM
fis-3194	433	9	(	(	PUNCT
fis-3194	433	10	1	1	NUM
fis-3194	433	11	-	-	SYM
fis-3194	433	12	4	4	NUM
fis-3194	433	13	)	)	PUNCT
fis-3194	433	14	,	,	PUNCT
fis-3194	433	15	pp	pp	ADP
fis-3194	433	16	.	.	PUNCT
fis-3194	434	1	109	109	NUM
fis-3194	434	2	-	-	SYM
fis-3194	434	3	143	143	NUM
fis-3194	434	4	.	.	PUNCT
fis-3194	435	1	doi	doi	NOUN
fis-3194	435	2	:	:	PUNCT
fis-3194	435	3	10.1016	10.1016	NUM
fis-3194	435	4	/	/	SYM
fis-3194	435	5	s0045	s0045	PROPN
fis-3194	435	6	-	-	PUNCT
fis-3194	435	7	7825(98)00227	7825(98)00227	NOUN
fis-3194	435	8	-	-	PUNCT
fis-3194	435	9	8	8	NUM
fis-3194	435	10	.	.	PUNCT
fis-3194	436	1	[	[	X
fis-3194	436	2	6	6	NUM
fis-3194	436	3	]	]	X
fis-3194	436	4	sun	sun	NOUN
fis-3194	436	5	,	,	PUNCT
fis-3194	436	6	c	c	PROPN
fis-3194	436	7	t.	t.	PROPN
fis-3194	436	8	,	,	PUNCT
fis-3194	436	9	vaidya	vaidya	PROPN
fis-3194	436	10	,	,	PUNCT
fis-3194	436	11	r	r	PROPN
fis-3194	436	12	s.	s.	PROPN
fis-3194	436	13	(	(	PUNCT
fis-3194	436	14	1996	1996	NUM
fis-3194	436	15	)	)	PUNCT
fis-3194	436	16	.	.	PUNCT
fis-3194	437	1	prediction	prediction	NOUN
fis-3194	437	2	of	of	ADP
fis-3194	437	3	composite	composite	ADJ
fis-3194	437	4	properties	property	NOUN
fis-3194	437	5	from	from	ADP
fis-3194	437	6	a	a	DET
fis-3194	437	7	representative	representative	ADJ
fis-3194	437	8	volume	volume	NOUN
fis-3194	437	9	element	element	NOUN
fis-3194	437	10	.	.	PUNCT
fis-3194	438	1	composites	composites	PROPN
fis-3194	438	2	science	science	NOUN
fis-3194	438	3	and	and	CCONJ
fis-3194	438	4	technology	technology	NOUN
fis-3194	438	5	,	,	PUNCT
fis-3194	438	6	56(2	56(2	ADJ
fis-3194	438	7	)	)	PUNCT
fis-3194	438	8	,	,	PUNCT
fis-3194	438	9	pp	pp	PROPN
fis-3194	438	10	.	.	PUNCT
fis-3194	439	1	171	171	NUM
fis-3194	439	2	-	-	SYM
fis-3194	439	3	179	179	NUM
fis-3194	439	4	.	.	PUNCT
fis-3194	440	1	doi	doi	NOUN
fis-3194	440	2	:	:	PUNCT
fis-3194	440	3	10.1016/0266	10.1016/0266	NUM
fis-3194	440	4	-	-	PUNCT
fis-3194	440	5	3538(95)00141	3538(95)00141	NUM
fis-3194	440	6	-	-	SYM
fis-3194	440	7	7	7	NUM
fis-3194	440	8	.	.	PUNCT
fis-3194	441	1	[	[	X
fis-3194	441	2	7	7	X
fis-3194	441	3	]	]	X
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fis-3194	441	5	,	,	PUNCT
fis-3194	441	6	z.	z.	PROPN
fis-3194	441	7	,	,	PUNCT
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fis-3194	441	9	,	,	PUNCT
fis-3194	441	10	y.	y.	PROPN
fis-3194	441	11	,	,	PUNCT
fis-3194	441	12	ellyin	ellyin	PROPN
fis-3194	441	13	f.	f.	PROPN
fis-3194	441	14	(	(	PUNCT
fis-3194	441	15	2003	2003	NUM
fis-3194	441	16	)	)	PUNCT
fis-3194	441	17	.	.	PUNCT
fis-3194	442	1	a	a	DET
fis-3194	442	2	unified	unified	ADJ
fis-3194	442	3	periodical	periodical	ADJ
fis-3194	442	4	boundary	boundary	ADJ
fis-3194	442	5	conditions	condition	NOUN
fis-3194	442	6	for	for	ADP
fis-3194	442	7	representative	representative	ADJ
fis-3194	442	8	volume	volume	NOUN
fis-3194	442	9	elements	element	NOUN
fis-3194	442	10	of	of	ADP
fis-3194	442	11	composites	composite	NOUN
fis-3194	442	12	and	and	CCONJ
fis-3194	442	13	applications	application	NOUN
fis-3194	442	14	.	.	PUNCT
fis-3194	443	1	international	international	ADJ
fis-3194	443	2	journal	journal	PROPN
fis-3194	443	3	of	of	ADP
fis-3194	443	4	solids	solid	NOUN
fis-3194	443	5	and	and	CCONJ
fis-3194	443	6	structures	structure	NOUN
fis-3194	443	7	40	40	NUM
fis-3194	443	8	,	,	PUNCT
fis-3194	443	9	pp	pp	ADJ
fis-3194	443	10	.	.	PUNCT
fis-3194	444	1	1907–1921	1907–1921	NUM
fis-3194	444	2	.	.	PUNCT
fis-3194	445	1	doi	doi	NOUN
fis-3194	445	2	:	:	PUNCT
fis-3194	445	3	10.1016	10.1016	NUM
fis-3194	445	4	/	/	SYM
fis-3194	445	5	s0020	s0020	ADP
fis-3194	445	6	-	-	PUNCT
fis-3194	445	7	7683(03)00024	7683(03)00024	NUM
fis-3194	445	8	-	-	PUNCT
fis-3194	445	9	6	6	NUM
fis-3194	445	10	.	.	PUNCT
fis-3194	446	1	[	[	X
fis-3194	446	2	8	8	NUM
fis-3194	446	3	]	]	X
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fis-3194	446	5	,	,	PUNCT
fis-3194	446	6	j.	j.	PROPN
fis-3194	446	7	,	,	PUNCT
fis-3194	446	8	auffray	auffray	ADJ
fis-3194	446	9	,	,	PUNCT
fis-3194	446	10	n.	n.	NOUN
fis-3194	446	11	,	,	PUNCT
fis-3194	446	12	and	and	CCONJ
fis-3194	446	13	monchiet	monchiet	NOUN
fis-3194	446	14	,	,	PUNCT
fis-3194	446	15	v.	v.	PROPN
fis-3194	446	16	(	(	PUNCT
fis-3194	446	17	2020	2020	NUM
fis-3194	446	18	)	)	PUNCT
fis-3194	446	19	.	.	PUNCT
fis-3194	447	1	computational	computational	ADJ
fis-3194	447	2	second	second	ADJ
fis-3194	447	3	-	-	PUNCT
fis-3194	447	4	order	order	NOUN
fis-3194	447	5	homogenization	homogenization	NOUN
fis-3194	447	6	of	of	ADP
fis-3194	447	7	materials	material	NOUN
fis-3194	447	8	with	with	ADP
fis-3194	447	9	effective	effective	ADJ
fis-3194	447	10	anisotropic	anisotropic	NOUN
fis-3194	447	11	strain	strain	NOUN
fis-3194	447	12	-	-	PUNCT
fis-3194	447	13	gradient	gradient	NOUN
fis-3194	447	14	behavior	behavior	NOUN
fis-3194	447	15	.	.	PUNCT
fis-3194	448	1	international	international	ADJ
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fis-3194	448	3	of	of	ADP
fis-3194	448	4	solids	solid	NOUN
fis-3194	448	5	and	and	CCONJ
fis-3194	448	6	structures	structure	NOUN
fis-3194	448	7	,	,	PUNCT
fis-3194	448	8	191	191	NUM
fis-3194	448	9	,	,	PUNCT
fis-3194	448	10	pp	pp	ADJ
fis-3194	448	11	.	.	PUNCT
fis-3194	449	1	434	434	NUM
fis-3194	449	2	-	-	SYM
fis-3194	449	3	448	448	NUM
fis-3194	449	4	.	.	PUNCT
fis-3194	449	5	doi	doi	NOUN
fis-3194	449	6	:	:	PUNCT
fis-3194	449	7	10.1016	10.1016	NUM
fis-3194	449	8	/	/	SYM
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fis-3194	449	10	.	.	PUNCT
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fis-3194	450	4	https://doi.org/10.1098/rspa.1957.0133	https://doi.org/10.1098/rspa.1957.0133	PROPN
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fis-3194	450	6	https://doi.org/10.1016/0266-3538(95)00141-7	https://doi.org/10.1016/0266-3538(95)00141-7	ADV
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fis-3194	450	13	frattura	frattura	PROPN
fis-3194	450	14	ed	ed	PROPN
fis-3194	450	15	integrità	integrità	PROPN
fis-3194	450	16	strutturale	strutturale	PROPN
fis-3194	450	17	,	,	PUNCT
fis-3194	450	18	58	58	NUM
fis-3194	450	19	(	(	PUNCT
fis-3194	450	20	2021	2021	NUM
fis-3194	450	21	)	)	PUNCT
fis-3194	450	22	319	319	NUM
fis-3194	450	23	-	-	SYM
fis-3194	450	24	343	343	NUM
fis-3194	450	25	;	;	PUNCT
fis-3194	450	26	doi	doi	NOUN
fis-3194	450	27	:	:	PUNCT
fis-3194	450	28	10.3221	10.3221	NUM
fis-3194	450	29	/	/	SYM
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fis-3194	450	31	-	-	PUNCT
fis-3194	450	32	esis.58.24	esis.58.24	ADJ
fis-3194	450	33	342	342	NUM
fis-3194	450	34	[	[	X
fis-3194	450	35	9	9	NUM
fis-3194	450	36	]	]	X
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fis-3194	450	39	l.	l.	PROPN
fis-3194	450	40	and	and	CCONJ
fis-3194	450	41	seppecher	seppecher	NOUN
fis-3194	450	42	,	,	PUNCT
fis-3194	450	43	p.	p.	NOUN
fis-3194	450	44	(	(	PUNCT
fis-3194	450	45	2020	2020	NUM
fis-3194	450	46	)	)	PUNCT
fis-3194	450	47	.	.	PUNCT
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fis-3194	451	9	.	.	PUNCT
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fis-3194	452	11	.	.	PUNCT
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fis-3194	453	6	.	.	PUNCT
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fis-3194	454	3	]	]	X
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fis-3194	454	37	)	)	PUNCT
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fis-3194	455	23	fibers	fiber	NOUN
fis-3194	455	24	.	.	PUNCT
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fis-3194	456	7	,	,	PUNCT
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fis-3194	456	9	)	)	PUNCT
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fis-3194	456	12	.	.	PUNCT
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fis-3194	457	2	-	-	SYM
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fis-3194	457	4	.	.	PUNCT
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fis-3194	458	2	:	:	PUNCT
fis-3194	458	3	10.1016	10.1016	NUM
fis-3194	458	4	/	/	SYM
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fis-3194	458	6	.	.	PUNCT
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fis-3194	459	2	11	11	NUM
fis-3194	459	3	]	]	SYM
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fis-3194	459	5	,	,	PUNCT
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fis-3194	459	17	,	,	PUNCT
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fis-3194	459	19	(	(	PUNCT
fis-3194	459	20	2014	2014	NUM
fis-3194	459	21	)	)	PUNCT
fis-3194	459	22	.	.	PUNCT
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fis-3194	460	10	shape	shape	NOUN
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fis-3194	461	4	)	)	PUNCT
fis-3194	461	5	,	,	PUNCT
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fis-3194	461	7	.	.	PUNCT
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fis-3194	462	2	.	.	PUNCT
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fis-3194	462	4	:	:	PUNCT
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fis-3194	462	6	/	/	SYM
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fis-3194	462	8	-	-	PUNCT
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fis-3194	462	10	-	-	PUNCT
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fis-3194	462	12	-	-	PUNCT
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fis-3194	463	3	]	]	PUNCT
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fis-3194	463	13	,	,	PUNCT
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fis-3194	463	19	(	(	PUNCT
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fis-3194	463	21	)	)	PUNCT
fis-3194	463	22	.	.	PUNCT
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fis-3194	464	11	.	.	PUNCT
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fis-3194	465	7	,	,	PUNCT
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fis-3194	465	9	.	.	PUNCT
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fis-3194	466	2	.	.	PUNCT
fis-3194	467	1	doi	doi	NOUN
fis-3194	467	2	:	:	PUNCT
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fis-3194	467	6	.	.	PUNCT
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fis-3194	468	3	]	]	PUNCT
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fis-3194	468	5	,	,	PUNCT
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fis-3194	468	9	,	,	PUNCT
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fis-3194	468	13	,	,	PUNCT
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fis-3194	468	17	)	)	PUNCT
fis-3194	468	18	.	.	PUNCT
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fis-3194	470	2	:	:	PUNCT
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fis-3194	470	5	,	,	PUNCT
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fis-3194	470	7	)	)	PUNCT
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fis-3194	471	2	.	.	PUNCT
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fis-3194	472	2	:	:	PUNCT
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fis-3194	472	6	.	.	PUNCT
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fis-3194	473	3	]	]	SYM
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fis-3194	473	17	)	)	PUNCT
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fis-3194	475	6	)	)	PUNCT
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fis-3194	475	9	.	.	PUNCT
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fis-3194	476	2	.	.	PUNCT
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fis-3194	477	2	:	:	PUNCT
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fis-3194	477	4	/	/	SYM
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fis-3194	477	6	-	-	PUNCT
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fis-3194	477	8	-	-	PUNCT
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fis-3194	477	10	-	-	PUNCT
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fis-3194	477	12	.	.	PUNCT
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fis-3194	478	3	]	]	X
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fis-3194	479	7	.	.	PUNCT
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fis-3194	481	7	)	)	PUNCT
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fis-3194	482	2	.	.	PUNCT
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fis-3194	483	2	:	:	PUNCT
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fis-3194	483	4	/	/	SYM
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fis-3194	483	8	.	.	PUNCT
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fis-3194	484	18	)	)	PUNCT
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fis-3194	485	12	-	-	PUNCT
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fis-3194	485	16	.	.	PUNCT
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fis-3194	487	5	)	)	PUNCT
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fis-3194	487	8	.	.	PUNCT
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fis-3194	488	2	:	:	PUNCT
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fis-3194	488	6	.	.	PUNCT
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fis-3194	489	3	]	]	X
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fis-3194	489	15	,	,	PUNCT
fis-3194	489	16	imad	imad	PROPN
fis-3194	489	17	,	,	PUNCT
fis-3194	489	18	a.	a.	PROPN
fis-3194	489	19	,	,	PUNCT
fis-3194	489	20	el	el	PROPN
fis-3194	489	21	moumen	moumen	PROPN
fis-3194	489	22	,	,	PUNCT
fis-3194	489	23	a.	a.	PROPN
fis-3194	489	24	,	,	PUNCT
fis-3194	489	25	khelfaoui	khelfaoui	PROPN
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fis-3194	489	27	y.	y.	PROPN
fis-3194	489	28	(	(	PUNCT
fis-3194	489	29	2016	2016	NUM
fis-3194	489	30	)	)	PUNCT
fis-3194	489	31	.	.	PUNCT
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fis-3194	490	2	transverse	transverse	NOUN
fis-3194	490	3	elastic	elastic	ADJ
fis-3194	490	4	properties	property	NOUN
fis-3194	490	5	of	of	ADP
fis-3194	490	6	unidirectional	unidirectional	ADJ
fis-3194	490	7	fiber	fiber	NOUN
fis-3194	490	8	reinforced	reinforce	VERB
fis-3194	490	9	composites	composite	NOUN
fis-3194	490	10	.	.	PUNCT
fis-3194	491	1	mech	mech	PROPN
fis-3194	491	2	.	.	PUNCT
fis-3194	492	1	mater	mater	PROPN
fis-3194	492	2	.	.	PUNCT
fis-3194	493	1	102	102	NUM
fis-3194	493	2	,	,	PUNCT
fis-3194	493	3	pp	pp	ADJ
fis-3194	493	4	.	.	PUNCT
fis-3194	494	1	47–53	47–53	NUM
fis-3194	494	2	.	.	PUNCT
fis-3194	495	1	doi	doi	NOUN
fis-3194	495	2	:	:	PUNCT
fis-3194	495	3	10.1016	10.1016	NUM
fis-3194	495	4	/	/	SYM
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fis-3194	495	6	.	.	PUNCT
fis-3194	496	1	[	[	X
fis-3194	496	2	18	18	NUM
fis-3194	496	3	]	]	PUNCT
fis-3194	496	4	bonfoh	bonfoh	NOUN
fis-3194	496	5	,	,	PUNCT
fis-3194	496	6	n.	n.	NOUN
fis-3194	496	7	,	,	PUNCT
fis-3194	496	8	coulibaly	coulibaly	NOUN
fis-3194	496	9	,	,	PUNCT
fis-3194	496	10	m.	m.	NOUN
fis-3194	496	11	,	,	PUNCT
fis-3194	496	12	sabar	sabar	NOUN
fis-3194	496	13	,	,	PUNCT
fis-3194	496	14	h.	h.	PROPN
fis-3194	496	15	(	(	PUNCT
fis-3194	496	16	2014	2014	NUM
fis-3194	496	17	)	)	PUNCT
fis-3194	496	18	.	.	PUNCT
fis-3194	497	1	effective	effective	ADJ
fis-3194	497	2	properties	property	NOUN
fis-3194	497	3	of	of	ADP
fis-3194	497	4	elastic	elastic	ADJ
fis-3194	497	5	composite	composite	ADJ
fis-3194	497	6	materials	material	NOUN
fis-3194	497	7	with	with	ADP
fis-3194	497	8	multi	multi	ADJ
fis-3194	497	9	-	-	ADJ
fis-3194	497	10	coated	coated	ADJ
fis-3194	497	11	reinforcements	reinforcement	NOUN
fis-3194	497	12	:	:	PUNCT
fis-3194	497	13	a	a	DET
fis-3194	497	14	new	new	ADJ
fis-3194	497	15	micromechanical	micromechanical	ADJ
fis-3194	497	16	modelling	modelling	NOUN
fis-3194	497	17	and	and	CCONJ
fis-3194	497	18	applications	application	NOUN
fis-3194	497	19	.	.	PUNCT
fis-3194	498	1	compos	compos	NOUN
fis-3194	498	2	.	.	PUNCT
fis-3194	499	1	struct	struct	NOUN
fis-3194	499	2	.	.	PUNCT
fis-3194	500	1	115	115	NUM
fis-3194	500	2	,	,	PUNCT
fis-3194	500	3	pp	pp	ADJ
fis-3194	500	4	.	.	PUNCT
fis-3194	501	1	111–119	111–119	NUM
fis-3194	501	2	.	.	PUNCT
fis-3194	502	1	doi	doi	NOUN
fis-3194	502	2	:	:	PUNCT
fis-3194	502	3	10.1016	10.1016	NUM
fis-3194	502	4	/	/	SYM
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fis-3194	502	6	.	.	PUNCT
fis-3194	503	1	[	[	X
fis-3194	503	2	19	19	NUM
fis-3194	503	3	]	]	PUNCT
fis-3194	503	4	rodríguez	rodríguez	NOUN
fis-3194	503	5	-	-	PUNCT
fis-3194	503	6	ramos	ramos	PROPN
fis-3194	503	7	,	,	PUNCT
fis-3194	503	8	r.	r.	PROPN
fis-3194	503	9	,	,	PUNCT
fis-3194	503	10	yan	yan	PROPN
fis-3194	503	11	,	,	PUNCT
fis-3194	503	12	p.	p.	NOUN
fis-3194	503	13	,	,	PUNCT
fis-3194	503	14	lópez	lópez	PROPN
fis-3194	503	15	-	-	PUNCT
fis-3194	503	16	realpozo	realpozo	PROPN
fis-3194	503	17	,	,	PUNCT
fis-3194	503	18	j.c	j.c	PROPN
fis-3194	503	19	.	.	PROPN
fis-3194	503	20	,	,	PUNCT
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fis-3194	503	22	-	-	PUNCT
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fis-3194	503	24	,	,	PUNCT
fis-3194	503	25	r.	r.	PROPN
fis-3194	503	26	,	,	PUNCT
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fis-3194	503	28	-	-	PUNCT
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fis-3194	503	30	,	,	PUNCT
fis-3194	503	31	j.	j.	PROPN
fis-3194	503	32	,	,	PUNCT
fis-3194	503	33	sabina	sabina	PROPN
fis-3194	503	34	,	,	PUNCT
fis-3194	503	35	f.j	f.j	PROPN
fis-3194	503	36	.	.	PROPN
fis-3194	503	37	,	,	PUNCT
fis-3194	503	38	jiang	jiang	PROPN
fis-3194	503	39	,	,	PUNCT
fis-3194	503	40	c.p	c.p	PROPN
fis-3194	503	41	.	.	PROPN
fis-3194	503	42	(	(	PUNCT
fis-3194	503	43	2011	2011	NUM
fis-3194	503	44	)	)	PUNCT
fis-3194	503	45	.	.	PUNCT
fis-3194	503	46	two	two	NUM
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fis-3194	503	48	models	model	NOUN
fis-3194	503	49	for	for	ADP
fis-3194	503	50	the	the	DET
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fis-3194	503	52	of	of	ADP
fis-3194	503	53	periodic	periodic	ADJ
fis-3194	503	54	fibrous	fibrous	ADJ
fis-3194	503	55	elastic	elastic	ADJ
fis-3194	503	56	composite	composite	NOUN
fis-3194	503	57	with	with	ADP
fis-3194	503	58	different	different	ADJ
fis-3194	503	59	unit	unit	NOUN
fis-3194	503	60	cells	cell	NOUN
fis-3194	503	61	.	.	PUNCT
fis-3194	504	1	compos	compos	NOUN
fis-3194	504	2	.	.	PUNCT
fis-3194	505	1	struct	struct	NOUN
fis-3194	505	2	.	.	PUNCT
fis-3194	505	3	,	,	PUNCT
fis-3194	505	4	93(2	93(2	NOUN
fis-3194	505	5	)	)	PUNCT
fis-3194	505	6	,	,	PUNCT
fis-3194	505	7	pp	pp	ADP
fis-3194	505	8	.	.	PUNCT
fis-3194	506	1	709–714	709–714	NUM
fis-3194	506	2	.	.	PUNCT
fis-3194	506	3	doi	doi	NOUN
fis-3194	506	4	:	:	PUNCT
fis-3194	506	5	10.1016	10.1016	NUM
fis-3194	506	6	/	/	SYM
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fis-3194	506	8	.	.	PUNCT
fis-3194	507	1	[	[	X
fis-3194	507	2	20	20	NUM
fis-3194	507	3	]	]	SYM
fis-3194	507	4	yang	yang	PROPN
fis-3194	507	5	,	,	PUNCT
fis-3194	507	6	y.	y.	PROPN
fis-3194	507	7	and	and	CCONJ
fis-3194	507	8	misra	misra	ADJ
fis-3194	507	9	,	,	PUNCT
fis-3194	507	10	a.	a.	NOUN
fis-3194	507	11	(	(	PUNCT
fis-3194	507	12	2012	2012	NUM
fis-3194	507	13	)	)	PUNCT
fis-3194	507	14	.	.	PUNCT
fis-3194	508	1	micromechanics	micromechanic	NOUN
fis-3194	508	2	based	base	VERB
fis-3194	508	3	second	second	ADJ
fis-3194	508	4	gradient	gradient	ADJ
fis-3194	508	5	continuum	continuum	ADJ
fis-3194	508	6	theory	theory	NOUN
fis-3194	508	7	for	for	ADP
fis-3194	508	8	shear	shear	NOUN
fis-3194	508	9	band	band	NOUN
fis-3194	508	10	modeling	modeling	NOUN
fis-3194	508	11	in	in	ADP
fis-3194	508	12	cohesive	cohesive	ADJ
fis-3194	508	13	granular	granular	ADJ
fis-3194	508	14	materials	material	NOUN
fis-3194	508	15	following	follow	VERB
fis-3194	508	16	damage	damage	NOUN
fis-3194	508	17	elasticity	elasticity	NOUN
fis-3194	508	18	.	.	PUNCT
fis-3194	509	1	internat	internat	PROPN
fis-3194	509	2	.	.	PUNCT
fis-3194	510	1	j.	j.	PROPN
fis-3194	510	2	solids	solids	PROPN
fis-3194	510	3	structures	structure	VERB
fis-3194	510	4	49(18	49(18	NUM
fis-3194	510	5	)	)	PUNCT
fis-3194	510	6	,	,	PUNCT
fis-3194	510	7	pp	pp	ADJ
fis-3194	510	8	.	.	PUNCT
fis-3194	511	1	2500	2500	NUM
fis-3194	511	2	-	-	SYM
fis-3194	511	3	2514	2514	NUM
fis-3194	511	4	.	.	PUNCT
fis-3194	512	1	doi	doi	NOUN
fis-3194	512	2	:	:	PUNCT
fis-3194	512	3	10.1016	10.1016	NUM
fis-3194	512	4	/	/	SYM
fis-3194	512	5	j.ijsolstr.2012.05.024	j.ijsolstr.2012.05.024	PROPN
fis-3194	512	6	.	.	PUNCT
fis-3194	513	1	[	[	X
fis-3194	513	2	21	21	NUM
fis-3194	513	3	]	]	SYM
fis-3194	513	4	khoroshun	khoroshun	PROPN
fis-3194	513	5	,	,	PUNCT
fis-3194	513	6	l.	l.	PROPN
fis-3194	513	7	p.	p.	PROPN
fis-3194	513	8	and	and	CCONJ
fis-3194	513	9	shikula	shikula	NOUN
fis-3194	513	10	,	,	PUNCT
fis-3194	513	11	e.	e.	PROPN
fis-3194	513	12	n.	n.	PROPN
fis-3194	513	13	(	(	PUNCT
fis-3194	513	14	2012	2012	NUM
fis-3194	513	15	)	)	PUNCT
fis-3194	513	16	.	.	PUNCT
fis-3194	514	1	deformation	deformation	NOUN
fis-3194	514	2	and	and	CCONJ
fis-3194	514	3	damage	damage	NOUN
fis-3194	514	4	of	of	ADP
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fis-3194	514	6	elastic	elastic	ADJ
fis-3194	514	7	homogeneous	homogeneous	ADJ
fis-3194	514	8	and	and	CCONJ
fis-3194	514	9	composite	composite	ADJ
fis-3194	514	10	materials	material	NOUN
fis-3194	514	11	(	(	PUNCT
fis-3194	514	12	review	review	NOUN
fis-3194	514	13	)	)	PUNCT
fis-3194	514	14	.	.	PUNCT
fis-3194	515	1	international	international	ADJ
fis-3194	515	2	applied	apply	VERB
fis-3194	515	3	mechanics	mechanic	NOUN
fis-3194	515	4	,	,	PUNCT
fis-3194	515	5	48	48	NUM
fis-3194	515	6	,	,	PUNCT
fis-3194	515	7	pp	pp	ADJ
fis-3194	515	8	.	.	PUNCT
fis-3194	516	1	131–175	131–175	NUM
fis-3194	516	2	.	.	PUNCT
fis-3194	517	1	doi	doi	NOUN
fis-3194	517	2	:	:	PUNCT
fis-3194	517	3	10.1007	10.1007	NUM
fis-3194	517	4	/	/	SYM
fis-3194	517	5	s10778	s10778	NUM
fis-3194	517	6	-	-	PUNCT
fis-3194	517	7	012	012	NUM
fis-3194	517	8	-	-	PUNCT
fis-3194	517	9	0512	0512	NUM
fis-3194	517	10	-	-	SYM
fis-3194	517	11	3	3	NUM
fis-3194	517	12	.	.	PUNCT
fis-3194	518	1	[	[	X
fis-3194	518	2	22	22	NUM
fis-3194	518	3	]	]	PUNCT
fis-3194	518	4	berthier	berthier	NOUN
fis-3194	518	5	,	,	PUNCT
fis-3194	518	6	e.	e.	PROPN
fis-3194	518	7	,	,	PUNCT
fis-3194	518	8	ponson	ponson	PROPN
fis-3194	518	9	,	,	PUNCT
fis-3194	518	10	l.	l.	PROPN
fis-3194	518	11	,	,	PUNCT
fis-3194	518	12	dascalu	dascalu	PROPN
fis-3194	518	13	,	,	PUNCT
fis-3194	518	14	c.	c.	PROPN
fis-3194	518	15	(	(	PUNCT
fis-3194	518	16	2014	2014	NUM
fis-3194	518	17	)	)	PUNCT
fis-3194	518	18	.	.	PUNCT
fis-3194	519	1	quasi	quasi	ADJ
fis-3194	519	2	-	-	ADJ
fis-3194	519	3	brittle	brittle	ADJ
fis-3194	519	4	fracture	fracture	NOUN
fis-3194	519	5	of	of	ADP
fis-3194	519	6	heterogeneous	heterogeneous	ADJ
fis-3194	519	7	materials	material	NOUN
fis-3194	519	8	:	:	PUNCT
fis-3194	519	9	a	a	DET
fis-3194	519	10	nonlocal	nonlocal	ADJ
fis-3194	519	11	damage	damage	NOUN
fis-3194	519	12	model	model	NOUN
fis-3194	519	13	.	.	PUNCT
fis-3194	520	1	procedia	procedia	PROPN
fis-3194	520	2	materials	material	NOUN
fis-3194	520	3	science	science	NOUN
fis-3194	520	4	,	,	PUNCT
fis-3194	520	5	3	3	NUM
fis-3194	520	6	,	,	PUNCT
fis-3194	520	7	pp	pp	ADJ
fis-3194	520	8	.	.	PUNCT
fis-3194	521	1	1878	1878	NUM
fis-3194	521	2	-	-	SYM
fis-3194	521	3	1883	1883	NUM
fis-3194	521	4	.	.	PUNCT
fis-3194	522	1	doi	doi	NOUN
fis-3194	522	2	:	:	PUNCT
fis-3194	522	3	10.1016	10.1016	NUM
fis-3194	522	4	/	/	SYM
fis-3194	522	5	j.mspro.2014.06.303	j.mspro.2014.06.303	PROPN
fis-3194	522	6	.	.	PUNCT
fis-3194	523	1	[	[	X
fis-3194	523	2	23	23	NUM
fis-3194	523	3	]	]	X
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fis-3194	523	5	,	,	PUNCT
fis-3194	523	6	k.	k.	PROPN
fis-3194	523	7	,	,	PUNCT
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fis-3194	523	9	,	,	PUNCT
fis-3194	523	10	l.	l.	PROPN
fis-3194	523	11	,	,	PUNCT
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fis-3194	523	13	,	,	PUNCT
fis-3194	523	14	k.	k.	PROPN
fis-3194	523	15	,	,	PUNCT
fis-3194	523	16	hadjem	hadjem	NOUN
fis-3194	523	17	-	-	PUNCT
fis-3194	523	18	hamouche	hamouche	NOUN
fis-3194	523	19	,	,	PUNCT
fis-3194	523	20	z.	z.	PROPN
fis-3194	523	21	,	,	PUNCT
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fis-3194	523	23	,	,	PUNCT
fis-3194	523	24	j.p	j.p	PROPN
fis-3194	523	25	.	.	PROPN
fis-3194	523	26	(	(	PUNCT
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fis-3194	523	28	)	)	PUNCT
fis-3194	523	29	.	.	PUNCT
fis-3194	524	1	a	a	DET
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fis-3194	524	3	-	-	PUNCT
fis-3194	524	4	based	base	VERB
fis-3194	524	5	damage	damage	NOUN
fis-3194	524	6	model	model	NOUN
fis-3194	524	7	for	for	ADP
fis-3194	524	8	stiffness	stiffness	ADJ
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fis-3194	524	11	ductile	ductile	NOUN
fis-3194	524	12	metal	metal	NOUN
fis-3194	524	13	-	-	PUNCT
fis-3194	524	14	matrix	matrix	NOUN
fis-3194	524	15	composites	composite	NOUN
fis-3194	524	16	.	.	PUNCT
fis-3194	525	1	journal	journal	NOUN
fis-3194	525	2	of	of	ADP
fis-3194	525	3	the	the	DET
fis-3194	525	4	mechanics	mechanic	NOUN
fis-3194	525	5	and	and	CCONJ
fis-3194	525	6	physics	physic	NOUN
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fis-3194	525	9	,	,	PUNCT
fis-3194	525	10	137	137	NUM
fis-3194	525	11	,	,	PUNCT
fis-3194	525	12	103812	103812	NUM
fis-3194	525	13	.	.	PUNCT
fis-3194	526	1	doi	doi	NOUN
fis-3194	526	2	:	:	PUNCT
fis-3194	526	3	10.1016	10.1016	NUM
fis-3194	526	4	/	/	SYM
fis-3194	526	5	j.jmps.2019.103812	j.jmps.2019.103812	NOUN
fis-3194	526	6	.	.	PUNCT
fis-3194	527	1	[	[	X
fis-3194	527	2	24	24	NUM
fis-3194	527	3	]	]	PUNCT
fis-3194	527	4	sorić	sorić	PROPN
fis-3194	527	5	,	,	PUNCT
fis-3194	527	6	j.	j.	PROPN
fis-3194	527	7	,	,	PUNCT
fis-3194	527	8	lesičar	lesičar	PROPN
fis-3194	527	9	,	,	PUNCT
fis-3194	527	10	t.	t.	PROPN
fis-3194	527	11	,	,	PUNCT
fis-3194	527	12	tonković	tonković	PROPN
fis-3194	527	13	,	,	PUNCT
fis-3194	527	14	z.	z.	PROPN
fis-3194	527	15	(	(	PUNCT
fis-3194	527	16	2021	2021	NUM
fis-3194	527	17	)	)	PUNCT
fis-3194	527	18	.	.	PUNCT
fis-3194	528	1	on	on	ADP
fis-3194	528	2	ductile	ductile	NOUN
fis-3194	528	3	damage	damage	NOUN
fis-3194	528	4	modelling	modelling	NOUN
fis-3194	528	5	of	of	ADP
fis-3194	528	6	heterogeneous	heterogeneous	ADJ
fis-3194	528	7	material	material	NOUN
fis-3194	528	8	using	use	VERB
fis-3194	528	9	secondorder	secondorder	ADJ
fis-3194	528	10	homogenization	homogenization	NOUN
fis-3194	528	11	approach	approach	NOUN
fis-3194	528	12	.	.	PUNCT
fis-3194	529	1	computer	computer	NOUN
fis-3194	529	2	modeling	modeling	NOUN
fis-3194	529	3	in	in	ADP
fis-3194	529	4	engineering	engineering	NOUN
fis-3194	529	5	and	and	CCONJ
fis-3194	529	6	sciences,126	sciences,126	NOUN
fis-3194	529	7	(	(	PUNCT
fis-3194	529	8	3	3	NUM
fis-3194	529	9	)	)	PUNCT
fis-3194	529	10	,	,	PUNCT
fis-3194	529	11	pp	pp	PROPN
fis-3194	529	12	.	.	PUNCT
fis-3194	530	1	915	915	NUM
fis-3194	530	2	-	-	SYM
fis-3194	530	3	934	934	NUM
fis-3194	530	4	.	.	PUNCT
fis-3194	531	1	doi	doi	NOUN
fis-3194	531	2	:	:	PUNCT
fis-3194	531	3	10.32604	10.32604	NUM
fis-3194	531	4	/	/	SYM
fis-3194	531	5	cmes.2021.014142	cmes.2021.014142	ADJ
fis-3194	531	6	.	.	PUNCT
fis-3194	532	1	[	[	X
fis-3194	532	2	25	25	NUM
fis-3194	532	3	]	]	SYM
fis-3194	532	4	wu	wu	PROPN
fis-3194	532	5	,	,	PUNCT
fis-3194	532	6	l.	l.	PROPN
fis-3194	532	7	,	,	PUNCT
fis-3194	532	8	noels	noel	NOUN
fis-3194	532	9	,	,	PUNCT
fis-3194	532	10	l.	l.	PROPN
fis-3194	532	11	,	,	PUNCT
fis-3194	532	12	adam	adam	PROPN
fis-3194	532	13	,	,	PUNCT
fis-3194	532	14	l.	l.	PROPN
fis-3194	532	15	,	,	PUNCT
fis-3194	532	16	doghri	doghri	PROPN
fis-3194	532	17	,	,	PUNCT
fis-3194	532	18	i.	i.	PROPN
fis-3194	532	19	(	(	PUNCT
fis-3194	532	20	2012	2012	NUM
fis-3194	532	21	)	)	PUNCT
fis-3194	532	22	.	.	PUNCT
fis-3194	533	1	a	a	DET
fis-3194	533	2	multiscale	multiscale	ADJ
fis-3194	533	3	mean	mean	ADJ
fis-3194	533	4	-	-	PUNCT
fis-3194	533	5	field	field	NOUN
fis-3194	533	6	homogenization	homogenization	NOUN
fis-3194	533	7	method	method	NOUN
fis-3194	533	8	for	for	ADP
fis-3194	533	9	fiber	fiber	NOUN
fis-3194	533	10	-	-	PUNCT
fis-3194	533	11	reinforced	reinforce	VERB
fis-3194	533	12	composites	composite	NOUN
fis-3194	533	13	with	with	ADP
fis-3194	533	14	gradient	gradient	NOUN
fis-3194	533	15	-	-	PUNCT
fis-3194	533	16	enhanced	enhance	VERB
fis-3194	533	17	damage	damage	NOUN
fis-3194	533	18	models	model	NOUN
fis-3194	533	19	.	.	PUNCT
fis-3194	534	1	computer	computer	NOUN
fis-3194	534	2	methods	method	NOUN
fis-3194	534	3	in	in	ADP
fis-3194	534	4	applied	applied	ADJ
fis-3194	534	5	mechanics	mechanic	NOUN
fis-3194	534	6	and	and	CCONJ
fis-3194	534	7	engineering	engineering	NOUN
fis-3194	534	8	233	233	NUM
fis-3194	534	9	,	,	PUNCT
fis-3194	534	10	pp	pp	ADJ
fis-3194	534	11	.	.	PUNCT
fis-3194	535	1	164	164	NUM
fis-3194	535	2	-	-	SYM
fis-3194	535	3	179	179	NUM
fis-3194	535	4	.	.	PUNCT
fis-3194	536	1	doi	doi	NOUN
fis-3194	536	2	:	:	PUNCT
fis-3194	536	3	10.1016	10.1016	NUM
fis-3194	536	4	/	/	SYM
fis-3194	536	5	j.cma.2012.04.011	j.cma.2012.04.011	X
fis-3194	536	6	.	.	PUNCT
fis-3194	537	1	[	[	X
fis-3194	537	2	26	26	NUM
fis-3194	537	3	]	]	X
fis-3194	537	4	devries	devries	PROPN
fis-3194	537	5	,	,	PUNCT
fis-3194	537	6	f.	f.	PROPN
fis-3194	537	7	,	,	PUNCT
fis-3194	537	8	dumontet	dumontet	PROPN
fis-3194	537	9	,	,	PUNCT
fis-3194	537	10	h.	h.	PROPN
fis-3194	537	11	,	,	PUNCT
fis-3194	537	12	duvaut	duvaut	PROPN
fis-3194	537	13	,	,	PUNCT
fis-3194	537	14	g.	g.	PROPN
fis-3194	537	15	,	,	PUNCT
fis-3194	537	16	and	and	CCONJ
fis-3194	537	17	lene	lene	PROPN
fis-3194	537	18	,	,	PUNCT
fis-3194	537	19	f.	f.	PROPN
fis-3194	537	20	(	(	PUNCT
fis-3194	537	21	1989	1989	NUM
fis-3194	537	22	)	)	PUNCT
fis-3194	537	23	.	.	PUNCT
fis-3194	538	1	homogenization	homogenization	NOUN
fis-3194	538	2	and	and	CCONJ
fis-3194	538	3	damage	damage	NOUN
fis-3194	538	4	for	for	ADP
fis-3194	538	5	composite	composite	ADJ
fis-3194	538	6	structures	structure	NOUN
fis-3194	538	7	.	.	PUNCT
fis-3194	539	1	int	int	NOUN
fis-3194	539	2	.	.	PUNCT
fis-3194	540	1	j.	j.	PROPN
fis-3194	540	2	numer	numer	PROPN
fis-3194	540	3	.	.	PUNCT
fis-3194	541	1	meth	meth	PROPN
fis-3194	541	2	.	.	PUNCT
fis-3194	542	1	engrg	engrg	PROPN
fis-3194	542	2	.	.	PROPN
fis-3194	542	3	,	,	PUNCT
fis-3194	542	4	27	27	NUM
fis-3194	542	5	,	,	PUNCT
fis-3194	542	6	pp	pp	ADJ
fis-3194	542	7	.	.	PUNCT
fis-3194	543	1	285–298	285–298	NUM
fis-3194	543	2	.	.	PUNCT
fis-3194	544	1	doi	doi	NOUN
fis-3194	544	2	:	:	PUNCT
fis-3194	544	3	10.1002	10.1002	NUM
fis-3194	544	4	/	/	SYM
fis-3194	544	5	nme.1620270206	nme.1620270206	NOUN
fis-3194	544	6	.	.	PUNCT
fis-3194	545	1	[	[	X
fis-3194	545	2	27	27	NUM
fis-3194	545	3	]	]	X
fis-3194	545	4	xia	xia	PROPN
fis-3194	545	5	,	,	PUNCT
fis-3194	545	6	z.	z.	PROPN
fis-3194	545	7	,	,	PUNCT
fis-3194	545	8	chen	chen	PROPN
fis-3194	545	9	,	,	PUNCT
fis-3194	545	10	y.	y.	PROPN
fis-3194	545	11	,	,	PUNCT
fis-3194	545	12	ellyin	ellyin	PROPN
fis-3194	545	13	,	,	PUNCT
fis-3194	545	14	f.	f.	PROPN
fis-3194	545	15	(	(	PUNCT
fis-3194	545	16	2000	2000	NUM
fis-3194	545	17	)	)	PUNCT
fis-3194	545	18	.	.	PUNCT
fis-3194	546	1	a	a	DET
fis-3194	546	2	meso	meso	NOUN
fis-3194	546	3	/	/	SYM
fis-3194	546	4	micro	micro	ADJ
fis-3194	546	5	-	-	ADJ
fis-3194	546	6	mechanical	mechanical	ADJ
fis-3194	546	7	model	model	NOUN
fis-3194	546	8	for	for	ADP
fis-3194	546	9	damage	damage	NOUN
fis-3194	546	10	progression	progression	NOUN
fis-3194	546	11	in	in	ADP
fis-3194	546	12	glass	glass	NOUN
fis-3194	546	13	–	–	PUNCT
fis-3194	546	14	fiber	fiber	NOUN
fis-3194	546	15	/	/	SYM
fis-3194	546	16	epoxy	epoxy	NOUN
fis-3194	546	17	cross	cross	ADJ
fis-3194	546	18	-	-	ADJ
fis-3194	546	19	ply	ply	ADJ
fis-3194	546	20	laminates	laminate	NOUN
fis-3194	546	21	by	by	ADP
fis-3194	546	22	finite	finite	ADJ
fis-3194	546	23	-	-	ADJ
fis-3194	546	24	element	element	ADJ
fis-3194	546	25	analysis	analysis	NOUN
fis-3194	546	26	.	.	PUNCT
fis-3194	547	1	composite	composite	ADJ
fis-3194	547	2	science	science	NOUN
fis-3194	547	3	and	and	CCONJ
fis-3194	547	4	technology	technology	NOUN
fis-3194	547	5	60	60	NUM
fis-3194	547	6	,	,	PUNCT
fis-3194	547	7	pp	pp	ADJ
fis-3194	547	8	.	.	PUNCT
fis-3194	548	1	1171–1179	1171–1179	NUM
fis-3194	548	2	.	.	PUNCT
fis-3194	549	1	doi	doi	NOUN
fis-3194	549	2	:	:	PUNCT
fis-3194	549	3	10.1016	10.1016	NUM
fis-3194	549	4	/	/	SYM
fis-3194	549	5	s0266	s0266	PROPN
fis-3194	549	6	-	-	PUNCT
fis-3194	549	7	3538(00)00022	3538(00)00022	NOUN
fis-3194	549	8	-	-	PUNCT
fis-3194	549	9	1	1	NUM
fis-3194	549	10	.	.	PUNCT
fis-3194	550	1	[	[	X
fis-3194	550	2	28	28	NUM
fis-3194	550	3	]	]	X
fis-3194	550	4	mises	mise	NOUN
fis-3194	550	5	,	,	PUNCT
fis-3194	550	6	r	r	NOUN
fis-3194	550	7	v.	v.	PROPN
fis-3194	550	8	(	(	PUNCT
fis-3194	550	9	1913	1913	NUM
fis-3194	550	10	)	)	PUNCT
fis-3194	550	11	.	.	PUNCT
fis-3194	551	1	mechanik	mechanik	PROPN
fis-3194	551	2	der	der	PROPN
fis-3194	551	3	festen	festen	ADJ
fis-3194	551	4	körper	körper	PROPN
fis-3194	552	1	i	i	PROPN
fis-3194	552	2	m	m	VERB
fis-3194	552	3	plastisch	plastisch	ADJ
fis-3194	552	4	-	-	PUNCT
fis-3194	552	5	deformablen	deformablen	ADJ
fis-3194	552	6	zustand	zustand	NOUN
fis-3194	552	7	.	.	PUNCT
fis-3194	553	1	nachrichten	nachrichten	PROPN
fis-3194	553	2	von	von	PROPN
fis-3194	553	3	der	der	PROPN
fis-3194	553	4	gesellschaft	gesellschaft	PROPN
fis-3194	553	5	der	der	NOUN
fis-3194	553	6	wissenschaften	wissenschaften	VERB
fis-3194	553	7	zu	zu	NOUN
fis-3194	553	8	göttingen	göttingen	NOUN
fis-3194	553	9	,	,	PUNCT
fis-3194	553	10	mathematisch	mathematisch	NOUN
fis-3194	553	11	-	-	PUNCT
fis-3194	553	12	physikalische	physikalische	PROPN
fis-3194	553	13	klasse	klasse	NOUN
fis-3194	553	14	,	,	PUNCT
fis-3194	553	15	pp	pp	ADJ
fis-3194	553	16	.	.	PUNCT
fis-3194	554	1	582	582	NUM
fis-3194	554	2	-	-	SYM
fis-3194	554	3	592	592	NUM
fis-3194	554	4	.	.	PUNCT
fis-3194	555	1	[	[	X
fis-3194	555	2	29	29	NUM
fis-3194	555	3	]	]	PUNCT
fis-3194	555	4	mazars	mazar	NOUN
fis-3194	555	5	,	,	PUNCT
fis-3194	555	6	j.	j.	PROPN
fis-3194	555	7	(	(	PUNCT
fis-3194	555	8	1986	1986	NUM
fis-3194	555	9	)	)	PUNCT
fis-3194	555	10	.	.	PUNCT
fis-3194	556	1	a	a	DET
fis-3194	556	2	description	description	NOUN
fis-3194	556	3	of	of	ADP
fis-3194	556	4	micro	micro	NOUN
fis-3194	556	5	-	-	ADJ
fis-3194	556	6	and	and	CCONJ
fis-3194	556	7	macroscale	macroscale	ADJ
fis-3194	556	8	damage	damage	NOUN
fis-3194	556	9	of	of	ADP
fis-3194	556	10	concrete	concrete	ADJ
fis-3194	556	11	structures	structure	NOUN
fis-3194	556	12	.	.	PUNCT
fis-3194	557	1	engineering	engineering	NOUN
fis-3194	557	2	fracture	fracture	NOUN
fis-3194	557	3	mechanics	mechanic	NOUN
fis-3194	557	4	,	,	PUNCT
fis-3194	557	5	25(5	25(5	NUM
fis-3194	557	6	-	-	SYM
fis-3194	557	7	6	6	NUM
fis-3194	557	8	)	)	PUNCT
fis-3194	557	9	,	,	PUNCT
fis-3194	557	10	pp	pp	ADP
fis-3194	557	11	.	.	PUNCT
fis-3194	558	1	729	729	NUM
fis-3194	558	2	-	-	SYM
fis-3194	558	3	737	737	NUM
fis-3194	558	4	.	.	PUNCT
fis-3194	559	1	doi	doi	NOUN
fis-3194	559	2	:	:	PUNCT
fis-3194	559	3	10.1016/0013	10.1016/0013	NUM
fis-3194	559	4	-	-	PUNCT
fis-3194	559	5	7944(86)90036	7944(86)90036	NUM
fis-3194	559	6	-	-	PUNCT
fis-3194	559	7	6	6	NUM
fis-3194	559	8	.	.	PUNCT
fis-3194	560	1	https://doi.org/10.1016/j.cma.2012.04.011	https://doi.org/10.1016/j.cma.2012.04.011	PROPN
fis-3194	560	2	https://doi.org/10.1016/j.cma.2012.04.011	https://doi.org/10.1016/j.cma.2012.04.011	PROPN
fis-3194	560	3	https://doi.org/10.1002/nme.1620270206	https://doi.org/10.1002/nme.1620270206	PROPN
fis-3194	560	4	https://doi.org/10.1002/nme.1620270206	https://doi.org/10.1002/nme.1620270206	PROPN
fis-3194	561	1	https://doi.org/10.1016/0013-7944(86)90036-6	https://doi.org/10.1016/0013-7944(86)90036-6	PROPN
fis-3194	562	1	https://doi.org/10.1016/0013-7944(86)90036-6	https://doi.org/10.1016/0013-7944(86)90036-6	PROPN
fis-3194	562	2	k.	k.	PROPN
fis-3194	562	3	benyahi	benyahi	PROPN
fis-3194	562	4	et	et	PROPN
fis-3194	562	5	alii	alii	PROPN
fis-3194	562	6	,	,	PUNCT
fis-3194	562	7	frattura	frattura	PROPN
fis-3194	562	8	ed	ed	PROPN
fis-3194	562	9	integrità	integrità	PROPN
fis-3194	562	10	strutturale	strutturale	PROPN
fis-3194	562	11	,	,	PUNCT
fis-3194	562	12	58	58	NUM
fis-3194	562	13	(	(	PUNCT
fis-3194	562	14	2021	2021	NUM
fis-3194	562	15	)	)	PUNCT
fis-3194	562	16	319	319	NUM
fis-3194	562	17	-	-	SYM
fis-3194	562	18	343	343	NUM
fis-3194	562	19	;	;	PUNCT
fis-3194	562	20	doi	doi	NOUN
fis-3194	562	21	:	:	PUNCT
fis-3194	562	22	10.3221	10.3221	NUM
fis-3194	562	23	/	/	SYM
fis-3194	562	24	igf	igf	PROPN
fis-3194	562	25	-	-	PUNCT
fis-3194	562	26	esis.58.24	esis.58.24	ADJ
fis-3194	562	27	343	343	NUM
fis-3194	562	28	[	[	NOUN
fis-3194	562	29	30	30	NUM
fis-3194	562	30	]	]	X
fis-3194	562	31	mazars	mazar	NOUN
fis-3194	562	32	,	,	PUNCT
fis-3194	562	33	j.	j.	PROPN
fis-3194	562	34	,	,	PUNCT
fis-3194	562	35	hamon	hamon	PROPN
fis-3194	562	36	,	,	PUNCT
fis-3194	562	37	f.	f.	PROPN
fis-3194	562	38	,	,	PUNCT
fis-3194	562	39	grange	grange	PROPN
fis-3194	562	40	,	,	PUNCT
fis-3194	562	41	s.	s.	PROPN
fis-3194	562	42	(	(	PUNCT
fis-3194	562	43	2015	2015	NUM
fis-3194	562	44	)	)	PUNCT
fis-3194	562	45	.	.	PUNCT
fis-3194	563	1	a	a	DET
fis-3194	563	2	new	new	ADJ
fis-3194	563	3	3d	3d	PROPN
fis-3194	563	4	damage	damage	NOUN
fis-3194	563	5	model	model	NOUN
fis-3194	563	6	for	for	ADP
fis-3194	563	7	concrete	concrete	NOUN
fis-3194	563	8	under	under	ADP
fis-3194	563	9	monotonic	monotonic	ADJ
fis-3194	563	10	,	,	PUNCT
fis-3194	563	11	cyclic	cyclic	ADJ
fis-3194	563	12	and	and	CCONJ
fis-3194	563	13	dynamic	dynamic	ADJ
fis-3194	563	14	loadings	loading	NOUN
fis-3194	563	15	.	.	PUNCT
fis-3194	564	1	materials	material	NOUN
fis-3194	564	2	and	and	CCONJ
fis-3194	564	3	structures	structure	NOUN
fis-3194	564	4	,	,	PUNCT
fis-3194	564	5	48(11	48(11	NUM
fis-3194	564	6	)	)	PUNCT
fis-3194	564	7	,	,	PUNCT
fis-3194	564	8	pp	pp	ADP
fis-3194	564	9	.	.	PUNCT
fis-3194	565	1	3779	3779	NUM
fis-3194	565	2	-	-	SYM
fis-3194	565	3	3793	3793	NUM
fis-3194	565	4	.	.	PUNCT
fis-3194	566	1	doi	doi	NOUN
fis-3194	566	2	:	:	PUNCT
fis-3194	566	3	10.1617	10.1617	NUM
fis-3194	566	4	/	/	SYM
fis-3194	566	5	s11527	s11527	NUM
fis-3194	566	6	-	-	PUNCT
fis-3194	566	7	014	014	NUM
fis-3194	566	8	-	-	PUNCT
fis-3194	566	9	0439	0439	NUM
fis-3194	566	10	-	-	PUNCT
fis-3194	566	11	8	8	NUM
fis-3194	566	12	.	.	PUNCT
fis-3194	567	1	[	[	X
fis-3194	567	2	31	31	NUM
fis-3194	567	3	]	]	PUNCT
fis-3194	567	4	bouafia	bouafia	NOUN
fis-3194	567	5	,	,	PUNCT
fis-3194	567	6	y.	y.	PROPN
fis-3194	567	7	,	,	PUNCT
fis-3194	567	8	kachi	kachi	PROPN
fis-3194	567	9	,	,	PUNCT
fis-3194	567	10	m	m	PROPN
fis-3194	567	11	s.	s.	PROPN
fis-3194	567	12	,	,	PUNCT
fis-3194	567	13	fouré	fouré	PROPN
fis-3194	567	14	,	,	PUNCT
fis-3194	567	15	b.	b.	PROPN
fis-3194	567	16	(	(	PUNCT
fis-3194	567	17	2002	2002	NUM
fis-3194	567	18	)	)	PUNCT
fis-3194	567	19	.	.	PUNCT
fis-3194	568	1	stress	stress	NOUN
fis-3194	568	2	-	-	PUNCT
fis-3194	568	3	strain	strain	NOUN
fis-3194	568	4	relationship	relationship	NOUN
fis-3194	568	5	in	in	ADP
fis-3194	568	6	the	the	DET
fis-3194	568	7	case	case	NOUN
fis-3194	568	8	of	of	ADP
fis-3194	568	9	reinforced	reinforce	VERB
fis-3194	568	10	steel	steel	NOUN
fis-3194	568	11	fiber	fiber	NOUN
fis-3194	568	12	concrete	concrete	NOUN
fis-3194	568	13	.	.	PUNCT
fis-3194	569	1	annals	annal	NOUN
fis-3194	569	2	of	of	ADP
fis-3194	569	3	btp	btp	PROPN
fis-3194	569	4	.	.	PUNCT
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fis-3194	570	2	32	32	NUM
fis-3194	570	3	]	]	PUNCT
fis-3194	570	4	belhadj	belhadj	NOUN
fis-3194	570	5	,	,	PUNCT
fis-3194	570	6	n.	n.	NOUN
fis-3194	570	7	,	,	PUNCT
fis-3194	570	8	bouafia	bouafia	NOUN
fis-3194	570	9	,	,	PUNCT
fis-3194	570	10	y.	y.	PROPN
fis-3194	570	11	,	,	PUNCT
fis-3194	570	12	smahi	smahi	PROPN
fis-3194	570	13	,	,	PUNCT
fis-3194	570	14	r.	r.	PROPN
fis-3194	570	15	(	(	PUNCT
fis-3194	570	16	2015	2015	NUM
fis-3194	570	17	)	)	PUNCT
fis-3194	570	18	.	.	PUNCT
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fis-3194	571	2	the	the	DET
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fis-3194	571	4	of	of	ADP
fis-3194	571	5	the	the	DET
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fis-3194	571	7	reinforced	reinforce	VERB
fis-3194	571	8	concrete	concrete	NOUN
fis-3194	571	9	by	by	ADP
fis-3194	571	10	damage	damage	NOUN
fis-3194	571	11	mechanics	mechanic	NOUN
fis-3194	571	12	.	.	PUNCT
fis-3194	572	1	in	in	ADP
fis-3194	572	2	:	:	PUNCT
fis-3194	572	3	applied	apply	VERB
fis-3194	572	4	mechanics	mechanic	NOUN
fis-3194	572	5	and	and	CCONJ
fis-3194	572	6	materials	material	NOUN
fis-3194	572	7	.	.	PUNCT
fis-3194	573	1	trans	trans	PROPN
fis-3194	573	2	tech	tech	PROPN
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fis-3194	573	4	,	,	PUNCT
fis-3194	573	5	pp	pp	PROPN
fis-3194	573	6	.	.	PUNCT
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fis-3194	574	2	-	-	SYM
fis-3194	574	3	390	390	NUM
fis-3194	574	4	.	.	PUNCT
fis-3194	574	5	doi	doi	NOUN
fis-3194	574	6	:	:	PUNCT
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fis-3194	574	8	/	/	SYM
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fis-3194	574	10	/	/	SYM
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fis-3194	574	12	.	.	PUNCT
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fis-3194	575	2	33	33	NUM
fis-3194	575	3	]	]	X
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fis-3194	575	5	,	,	PUNCT
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fis-3194	575	7	.	.	PUNCT
fis-3194	575	8	(	(	PUNCT
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fis-3194	575	10	)	)	PUNCT
fis-3194	575	11	.	.	PUNCT
fis-3194	576	1	micromechanical	micromechanical	ADJ
fis-3194	576	2	approach	approach	NOUN
fis-3194	576	3	for	for	ADP
fis-3194	576	4	modeling	model	VERB
fis-3194	576	5	the	the	DET
fis-3194	576	6	elastoplastic	elastoplastic	ADJ
fis-3194	576	7	behavior	behavior	NOUN
fis-3194	576	8	of	of	ADP
fis-3194	576	9	composites	composite	NOUN
fis-3194	576	10	:	:	PUNCT
fis-3194	576	11	application	application	NOUN
fis-3194	576	12	to	to	ADP
fis-3194	576	13	resin	resin	NOUN
fis-3194	576	14	mortars	mortar	NOUN
fis-3194	576	15	.	.	PUNCT
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fis-3194	577	2	thesis	thesis	NOUN
fis-3194	577	3	.	.	PUNCT
fis-3194	578	1	university	university	NOUN
fis-3194	578	2	of	of	ADP
fis-3194	578	3	cergy	cergy	NOUN
fis-3194	578	4	-	-	PUNCT
fis-3194	578	5	pontoise	pontoise	NOUN
fis-3194	578	6	,	,	PUNCT
fis-3194	578	7	france	france	PROPN
fis-3194	578	8	.	.	PUNCT
fis-3194	579	1	[	[	X
fis-3194	579	2	34	34	NUM
fis-3194	579	3	]	]	X
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fis-3194	579	5	,	,	PUNCT
fis-3194	579	6	f.	f.	PROPN
fis-3194	579	7	(	(	PUNCT
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fis-3194	579	9	)	)	PUNCT
fis-3194	579	10	.	.	PUNCT
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fis-3194	580	2	composites	composite	NOUN
fis-3194	580	3	with	with	ADP
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fis-3194	580	5	elastic	elastic	ADJ
fis-3194	580	6	modulus	modulus	NOUN
fis-3194	580	7	:	:	PUNCT
fis-3194	580	8	design	design	NOUN
fis-3194	580	9	,	,	PUNCT
fis-3194	580	10	characterization	characterization	NOUN
fis-3194	580	11	and	and	CCONJ
fis-3194	580	12	micromechanical	micromechanical	ADJ
fis-3194	580	13	modeling	modeling	NOUN
fis-3194	580	14	.	.	PUNCT
fis-3194	581	1	doctoral	doctoral	ADJ
fis-3194	581	2	thesis	thesis	NOUN
fis-3194	581	3	.	.	PUNCT
fis-3194	582	1	university	university	NOUN
fis-3194	582	2	of	of	ADP
fis-3194	582	3	toulouse	toulouse	PROPN
fis-3194	582	4	iii	iii	NUM
fis-3194	582	5	paul	paul	PROPN
fis-3194	582	6	sabatier	sabatier	PROPN
fis-3194	582	7	,	,	PUNCT
fis-3194	582	8	france	france	PROPN
fis-3194	582	9	.	.	PUNCT
fis-3194	583	1	[	[	X
fis-3194	583	2	35	35	NUM
fis-3194	583	3	]	]	X
fis-3194	583	4	al	al	PROPN
fis-3194	583	5	kassem	kassem	PROPN
fis-3194	583	6	,	,	PUNCT
fis-3194	583	7	g.	g.	PROPN
fis-3194	583	8	,	,	PUNCT
fis-3194	583	9	weichert	weichert	PROPN
fis-3194	583	10	,	,	PUNCT
fis-3194	583	11	d.	d.	PROPN
fis-3194	583	12	(	(	PUNCT
fis-3194	583	13	2009	2009	NUM
fis-3194	583	14	)	)	PUNCT
fis-3194	583	15	.	.	PUNCT
fis-3194	584	1	micromechanical	micromechanical	ADJ
fis-3194	584	2	material	material	NOUN
fis-3194	584	3	models	model	NOUN
fis-3194	584	4	for	for	ADP
fis-3194	584	5	polymer	polymer	NOUN
fis-3194	584	6	composites	composite	NOUN
fis-3194	584	7	through	through	ADP
fis-3194	584	8	advanced	advanced	PROPN
fis-3194	584	9	numerical	numerical	PROPN
fis-3194	584	10	simulation	simulation	PROPN
fis-3194	584	11	techniques	technique	NOUN
fis-3194	584	12	.	.	PUNCT
fis-3194	585	1	in	in	ADP
fis-3194	585	2	:	:	PUNCT
fis-3194	585	3	pamm	pamm	NOUN
fis-3194	585	4	:	:	PUNCT
fis-3194	585	5	proceedings	proceeding	NOUN
fis-3194	585	6	in	in	ADP
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fis-3194	585	9	and	and	CCONJ
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fis-3194	585	11	.	.	PUNCT
fis-3194	586	1	berlin	berlin	PROPN
fis-3194	586	2	:	:	PUNCT
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fis-3194	586	4	verlag	verlag	PROPN
fis-3194	586	5	,	,	PUNCT
fis-3194	586	6	pp	pp	ADJ
fis-3194	586	7	.	.	PUNCT
fis-3194	587	1	413	413	NUM
fis-3194	587	2	-	-	SYM
fis-3194	587	3	414	414	NUM
fis-3194	587	4	.	.	PUNCT
fis-3194	588	1	doi	doi	NOUN
fis-3194	588	2	:	:	PUNCT
fis-3194	588	3	10.1002	10.1002	NUM
fis-3194	588	4	/	/	SYM
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fis-3194	588	6	.	.	PUNCT
fis-3194	589	1	https://doi.org/10.1617/s11527-014-0439-8	https://doi.org/10.1617/s11527-014-0439-8	NUM
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fis-3194	589	4	https://doi.org/10.1002/pamm.200910180	https://doi.org/10.1002/pamm.200910180	NOUN
fis-3194	589	5	https://doi.org/10.1002/pamm.200910180	https://doi.org/10.1002/pamm.200910180	NOUN