id	sid	tid	token	lemma	pos
ap-656	1	1	ap04-bittnar2.vp	ap04-bittnar2.vp	NOUN
ap-656	1	2	1	1	NUM
ap-656	1	3	introduction	introduction	NOUN
ap-656	1	4	there	there	PRON
ap-656	1	5	are	be	VERB
ap-656	1	6	many	many	ADJ
ap-656	1	7	different	different	ADJ
ap-656	1	8	methods	method	NOUN
ap-656	1	9	and	and	CCONJ
ap-656	1	10	tools	tool	NOUN
ap-656	1	11	that	that	PRON
ap-656	1	12	can	can	AUX
ap-656	1	13	be	be	AUX
ap-656	1	14	used	use	VERB
ap-656	1	15	to	to	PART
ap-656	1	16	deliver	deliver	VERB
ap-656	1	17	the	the	DET
ap-656	1	18	macroscopic	macroscopic	ADJ
ap-656	1	19	constitutive	constitutive	ADJ
ap-656	1	20	response	response	NOUN
ap-656	1	21	of	of	ADP
ap-656	1	22	heterogeneous	heterogeneous	ADJ
ap-656	1	23	materials	material	NOUN
ap-656	1	24	from	from	ADP
ap-656	1	25	a	a	DET
ap-656	1	26	local	local	ADJ
ap-656	1	27	description	description	NOUN
ap-656	1	28	of	of	ADP
ap-656	1	29	the	the	DET
ap-656	1	30	microstructure	microstructure	ADJ
ap-656	1	31	behavior	behavior	NOUN
ap-656	1	32	.	.	PUNCT
ap-656	2	1	here	here	ADV
ap-656	2	2	we	we	PRON
ap-656	2	3	are	be	AUX
ap-656	2	4	concerned	concerned	ADJ
ap-656	2	5	with	with	ADP
ap-656	2	6	non	non	ADJ
ap-656	2	7	-	-	ADJ
ap-656	2	8	linear	linear	ADJ
ap-656	2	9	behavior	behavior	NOUN
ap-656	2	10	caused	cause	VERB
ap-656	2	11	by	by	ADP
ap-656	2	12	inelasticity	inelasticity	NOUN
ap-656	2	13	of	of	ADP
ap-656	2	14	the	the	DET
ap-656	2	15	constituents	constituent	NOUN
ap-656	2	16	or	or	CCONJ
ap-656	2	17	with	with	ADP
ap-656	2	18	the	the	DET
ap-656	2	19	initiation	initiation	NOUN
ap-656	2	20	and	and	CCONJ
ap-656	2	21	growth	growth	NOUN
ap-656	2	22	of	of	ADP
ap-656	2	23	damage	damage	NOUN
ap-656	2	24	.	.	PUNCT
ap-656	3	1	in	in	ADP
ap-656	3	2	developing	develop	VERB
ap-656	3	3	the	the	DET
ap-656	3	4	homogenization	homogenization	NOUN
ap-656	3	5	procedures	procedure	NOUN
ap-656	3	6	for	for	ADP
ap-656	3	7	non	non	ADJ
ap-656	3	8	-	-	ADJ
ap-656	3	9	linear	linear	ADJ
ap-656	3	10	materials	material	NOUN
ap-656	3	11	we	we	PRON
ap-656	3	12	have	have	VERB
ap-656	3	13	to	to	PART
ap-656	3	14	define	define	VERB
ap-656	3	15	both	both	PRON
ap-656	3	16	the	the	DET
ap-656	3	17	homogenization	homogenization	NOUN
ap-656	3	18	step	step	NOUN
ap-656	3	19	itself	itself	PRON
ap-656	3	20	(	(	PUNCT
ap-656	3	21	from	from	ADP
ap-656	3	22	local	local	ADJ
ap-656	3	23	variables	variable	NOUN
ap-656	3	24	to	to	ADP
ap-656	3	25	overall	overall	ADJ
ap-656	3	26	variables	variable	NOUN
ap-656	3	27	)	)	PUNCT
ap-656	3	28	and	and	CCONJ
ap-656	3	29	the	the	DET
ap-656	3	30	often	often	ADV
ap-656	3	31	more	more	ADV
ap-656	3	32	complicated	complicated	ADJ
ap-656	3	33	localization	localization	NOUN
ap-656	3	34	step	step	NOUN
ap-656	3	35	(	(	PUNCT
ap-656	3	36	from	from	ADP
ap-656	3	37	overall	overall	ADJ
ap-656	3	38	controlled	control	VERB
ap-656	3	39	quantities	quantity	NOUN
ap-656	3	40	to	to	ADP
ap-656	3	41	the	the	DET
ap-656	3	42	corresponding	corresponding	ADJ
ap-656	3	43	local	local	ADJ
ap-656	3	44	quantities	quantity	NOUN
ap-656	3	45	.	.	PUNCT
ap-656	4	1	as	as	ADP
ap-656	4	2	practical	practical	ADJ
ap-656	4	3	tools	tool	NOUN
ap-656	4	4	in	in	ADP
ap-656	4	5	the	the	DET
ap-656	4	6	homogenization	homogenization	NOUN
ap-656	4	7	framework	framework	NOUN
ap-656	4	8	we	we	PRON
ap-656	4	9	have	have	VERB
ap-656	4	10	mainly	mainly	ADV
ap-656	4	11	three	three	NUM
ap-656	4	12	categories	category	NOUN
ap-656	4	13	of	of	ADP
ap-656	4	14	methods	method	NOUN
ap-656	4	15	involving	involve	VERB
ap-656	4	16	the	the	DET
ap-656	4	17	linearly	linearly	ADV
ap-656	4	18	elastic	elastic	ADJ
ap-656	4	19	behavior	behavior	NOUN
ap-656	4	20	of	of	ADP
ap-656	4	21	the	the	DET
ap-656	4	22	composite	composite	ADJ
ap-656	4	23	aggregate	aggregate	NOUN
ap-656	4	24	:	:	PUNCT
ap-656	4	25	�	�	PROPN
ap-656	4	26	first	first	ADV
ap-656	4	27	,	,	PUNCT
ap-656	4	28	we	we	PRON
ap-656	4	29	consider	consider	VERB
ap-656	4	30	exact	exact	ADJ
ap-656	4	31	solutions	solution	NOUN
ap-656	4	32	and	and	CCONJ
ap-656	4	33	theorems	theorem	NOUN
ap-656	4	34	that	that	PRON
ap-656	4	35	deliver	deliver	VERB
ap-656	4	36	variational	variational	ADJ
ap-656	4	37	bounds	bound	NOUN
ap-656	4	38	on	on	ADP
ap-656	4	39	the	the	DET
ap-656	4	40	overall	overall	ADJ
ap-656	4	41	constitutive	constitutive	ADJ
ap-656	4	42	parameters	parameter	NOUN
ap-656	4	43	.	.	PUNCT
ap-656	5	1	at	at	ADP
ap-656	5	2	that	that	DET
ap-656	5	3	level	level	NOUN
ap-656	5	4	,	,	PUNCT
ap-656	5	5	we	we	PRON
ap-656	5	6	can	can	AUX
ap-656	5	7	mention	mention	VERB
ap-656	5	8	voigt	voigt	PROPN
ap-656	5	9	and	and	CCONJ
ap-656	5	10	reuss	reuss	PROPN
ap-656	5	11	bounds	bound	NOUN
ap-656	5	12	,	,	PUNCT
ap-656	5	13	hashin	hashin	ADJ
ap-656	5	14	-	-	PUNCT
ap-656	5	15	shtrikman	shtrikman	NOUN
ap-656	5	16	bounds	bound	NOUN
ap-656	5	17	in	in	ADP
ap-656	5	18	the	the	DET
ap-656	5	19	linear	linear	ADJ
ap-656	5	20	context	context	NOUN
ap-656	5	21	,	,	PUNCT
ap-656	5	22	and	and	CCONJ
ap-656	5	23	more	more	ADV
ap-656	5	24	recent	recent	ADJ
ap-656	5	25	works	work	NOUN
ap-656	5	26	(	(	PUNCT
ap-656	5	27	ponte	ponte	PROPN
ap-656	5	28	castaneda	castaneda	PROPN
ap-656	5	29	,	,	PUNCT
ap-656	5	30	1991	1991	NUM
ap-656	5	31	;	;	PUNCT
ap-656	5	32	ponte	ponte	PROPN
ap-656	5	33	castaneda	castaneda	PROPN
ap-656	5	34	and	and	CCONJ
ap-656	5	35	willis	willis	PROPN
ap-656	5	36	,	,	PUNCT
ap-656	5	37	1995	1995	NUM
ap-656	5	38	;	;	PUNCT
ap-656	5	39	ponte	ponte	PROPN
ap-656	5	40	castaneda	castaneda	PROPN
ap-656	5	41	and	and	CCONJ
ap-656	5	42	suquet	suquet	PROPN
ap-656	5	43	,	,	PUNCT
ap-656	5	44	1998	1998	NUM
ap-656	5	45	)	)	PUNCT
ap-656	5	46	,	,	PUNCT
ap-656	5	47	whicht	whicht	NOUN
ap-656	5	48	give	give	VERB
ap-656	5	49	pertinent	pertinent	ADJ
ap-656	5	50	results	result	NOUN
ap-656	5	51	for	for	ADP
ap-656	5	52	inelastic	inelastic	ADJ
ap-656	5	53	behavior	behavior	NOUN
ap-656	5	54	.	.	PUNCT
ap-656	6	1	�	�	PROPN
ap-656	6	2	second	second	ADJ
ap-656	6	3	,	,	PUNCT
ap-656	6	4	good	good	ADJ
ap-656	6	5	estimations	estimation	NOUN
ap-656	6	6	of	of	ADP
ap-656	6	7	overall	overall	ADJ
ap-656	6	8	mechanical	mechanical	ADJ
ap-656	6	9	properties	property	NOUN
ap-656	6	10	are	be	AUX
ap-656	6	11	provided	provide	VERB
ap-656	6	12	by	by	ADP
ap-656	6	13	the	the	DET
ap-656	6	14	techniques	technique	NOUN
ap-656	6	15	for	for	ADP
ap-656	6	16	estimating	estimate	VERB
ap-656	6	17	the	the	DET
ap-656	6	18	overall	overall	ADJ
ap-656	6	19	mechanical	mechanical	ADJ
ap-656	6	20	properties	property	NOUN
ap-656	6	21	based	base	VERB
ap-656	6	22	on	on	ADP
ap-656	6	23	generalizations	generalization	NOUN
ap-656	6	24	of	of	ADP
ap-656	6	25	the	the	DET
ap-656	6	26	eshelby	eshelby	PROPN
ap-656	6	27	method	method	PROPN
ap-656	6	28	,	,	PUNCT
ap-656	6	29	proposed	propose	VERB
ap-656	6	30	in	in	ADP
ap-656	6	31	1957	1957	NUM
ap-656	6	32	.	.	PUNCT
ap-656	7	1	these	these	DET
ap-656	7	2	techniques	technique	NOUN
ap-656	7	3	are	be	AUX
ap-656	7	4	particularly	particularly	ADV
ap-656	7	5	useful	useful	ADJ
ap-656	7	6	for	for	ADP
ap-656	7	7	situations	situation	NOUN
ap-656	7	8	with	with	ADP
ap-656	7	9	random	random	ADJ
ap-656	7	10	misconstrues	misconstrue	NOUN
ap-656	7	11	(	(	PUNCT
ap-656	7	12	multiconnected	multiconnecte	VERB
ap-656	7	13	phases	phase	NOUN
ap-656	7	14	,	,	PUNCT
ap-656	7	15	randomly	randomly	ADV
ap-656	7	16	distributed	distribute	VERB
ap-656	7	17	shapes	shape	NOUN
ap-656	7	18	,	,	PUNCT
ap-656	7	19	size	size	NOUN
ap-656	7	20	orientations	orientation	NOUN
ap-656	7	21	of	of	ADP
ap-656	7	22	lay	lay	NOUN
ap-656	7	23	-	-	PUNCT
ap-656	7	24	ups	up	NOUN
ap-656	7	25	,	,	PUNCT
ap-656	7	26	polycristalline	polycristalline	NOUN
ap-656	7	27	aggregates	aggregate	NOUN
ap-656	7	28	,	,	PUNCT
ap-656	7	29	etc	etc	X
ap-656	7	30	)	)	PUNCT
ap-656	7	31	,	,	PUNCT
ap-656	7	32	see	see	VERB
ap-656	7	33	(	(	PUNCT
ap-656	7	34	šejnoha	šejnoha	NOUN
ap-656	7	35	m.	m.	NOUN
ap-656	7	36	,	,	PUNCT
ap-656	7	37	zeman	zeman	PROPN
ap-656	7	38	j.	j.	PROPN
ap-656	7	39	,	,	PUNCT
ap-656	7	40	šejnoha	šejnoha	PROPN
ap-656	7	41	j.	j.	PROPN
ap-656	7	42	,	,	PUNCT
ap-656	7	43	2000	2000	NUM
ap-656	7	44	)	)	PUNCT
ap-656	7	45	,	,	PUNCT
ap-656	7	46	(	(	PUNCT
ap-656	7	47	zeman	zeman	PROPN
ap-656	7	48	j.	j.	PROPN
ap-656	7	49	,	,	PUNCT
ap-656	7	50	šejnoha	šejnoha	PROPN
ap-656	7	51	j.	j.	PROPN
ap-656	7	52	,	,	PUNCT
ap-656	7	53	šejnoha	šejnoha	PROPN
ap-656	7	54	m.	m.	NOUN
ap-656	7	55	,	,	PUNCT
ap-656	7	56	2000	2000	NUM
ap-656	7	57	)	)	PUNCT
ap-656	7	58	,	,	PUNCT
ap-656	7	59	(	(	PUNCT
ap-656	7	60	šejnoha	šejnoha	X
ap-656	7	61	m.	m.	NOUN
ap-656	7	62	,	,	PUNCT
ap-656	7	63	šejnoha	šejnoha	PROPN
ap-656	7	64	j.	j.	PROPN
ap-656	7	65	,	,	PUNCT
ap-656	7	66	zeman	zeman	PROPN
ap-656	7	67	j.	j.	PROPN
ap-656	7	68	,	,	PUNCT
ap-656	7	69	2002	2002	NUM
ap-656	7	70	)	)	PUNCT
ap-656	7	71	,	,	PUNCT
ap-656	7	72	(	(	PUNCT
ap-656	7	73	šejnoha	šejnoha	PROPN
ap-656	7	74	j.	j.	PROPN
ap-656	7	75	,	,	PUNCT
ap-656	7	76	šejnoha	šejnoha	PROPN
ap-656	7	77	m.	m.	NOUN
ap-656	7	78	,	,	PUNCT
ap-656	7	79	2001	2001	NUM
ap-656	7	80	)	)	PUNCT
ap-656	7	81	,	,	PUNCT
ap-656	7	82	(	(	PUNCT
ap-656	7	83	procházka	procházka	PROPN
ap-656	7	84	p.	p.	PROPN
ap-656	7	85	,	,	PUNCT
ap-656	7	86	šejnoha	šejnoha	PROPN
ap-656	7	87	j.	j.	PROPN
ap-656	7	88	,	,	PUNCT
ap-656	7	89	2000	2000	NUM
ap-656	7	90	)	)	PUNCT
ap-656	7	91	,	,	PUNCT
ap-656	7	92	(	(	PUNCT
ap-656	7	93	procházka	procházka	PROPN
ap-656	7	94	p.	p.	PROPN
ap-656	7	95	,	,	PUNCT
ap-656	7	96	šejnoha	šejnoha	PROPN
ap-656	7	97	j.	j.	PROPN
ap-656	7	98	,	,	PUNCT
ap-656	7	99	2003	2003	NUM
ap-656	7	100	)	)	PUNCT
ap-656	7	101	(	(	PUNCT
ap-656	7	102	šejnoha	šejnoha	PROPN
ap-656	7	103	j.	j.	PROPN
ap-656	7	104	,	,	PUNCT
ap-656	7	105	šejnoha	šejnoha	PROPN
ap-656	7	106	m.	m.	NOUN
ap-656	7	107	,	,	PUNCT
ap-656	7	108	2000	2000	NUM
ap-656	7	109	)	)	PUNCT
ap-656	7	110	,	,	PUNCT
ap-656	7	111	(	(	PUNCT
ap-656	7	112	šejnoha	šejnoha	PROPN
ap-656	7	113	j.	j.	PROPN
ap-656	7	114	,	,	PUNCT
ap-656	7	115	šejnoha	šejnoha	PROPN
ap-656	7	116	m.	m.	NOUN
ap-656	7	117	,	,	PUNCT
ap-656	7	118	2003	2003	NUM
ap-656	7	119	)	)	PUNCT
ap-656	7	120	.	.	PUNCT
ap-656	8	1	�	�	PROPN
ap-656	8	2	third	third	PROPN
ap-656	8	3	,	,	PUNCT
ap-656	8	4	numerical	numerical	ADJ
ap-656	8	5	techniques	technique	NOUN
ap-656	8	6	,	,	PUNCT
ap-656	8	7	most	most	ADV
ap-656	8	8	often	often	ADV
ap-656	8	9	based	base	VERB
ap-656	8	10	on	on	ADP
ap-656	8	11	the	the	DET
ap-656	8	12	assumption	assumption	NOUN
ap-656	8	13	of	of	ADP
ap-656	8	14	microstructure	microstructure	ADJ
ap-656	8	15	periodicity	periodicity	NOUN
ap-656	8	16	.	.	PUNCT
ap-656	9	1	in	in	ADP
ap-656	9	2	these	these	DET
ap-656	9	3	cases	case	NOUN
ap-656	9	4	,	,	PUNCT
ap-656	9	5	which	which	PRON
ap-656	9	6	may	may	AUX
ap-656	9	7	be	be	AUX
ap-656	9	8	quite	quite	ADV
ap-656	9	9	particular	particular	ADJ
ap-656	9	10	,	,	PUNCT
ap-656	9	11	periodic	periodic	ADJ
ap-656	9	12	homogenization	homogenization	NOUN
ap-656	9	13	techniques	technique	NOUN
ap-656	9	14	(	(	PUNCT
ap-656	9	15	suquet	suquet	NOUN
ap-656	9	16	,	,	PUNCT
ap-656	9	17	1998	1998	NUM
ap-656	9	18	)	)	PUNCT
ap-656	9	19	are	be	AUX
ap-656	9	20	able	able	ADJ
ap-656	9	21	to	to	PART
ap-656	9	22	describe	describe	VERB
ap-656	9	23	the	the	DET
ap-656	9	24	local	local	ADJ
ap-656	9	25	stress	stress	NOUN
ap-656	9	26	(	(	PUNCT
ap-656	9	27	and	and	CCONJ
ap-656	9	28	strain	strain	VERB
ap-656	9	29	)	)	PUNCT
ap-656	9	30	fields	field	NOUN
ap-656	9	31	and	and	CCONJ
ap-656	9	32	their	their	PRON
ap-656	9	33	evolutions	evolution	NOUN
ap-656	9	34	very	very	ADV
ap-656	9	35	correctly	correctly	ADV
ap-656	9	36	.	.	PUNCT
ap-656	10	1	they	they	PRON
ap-656	10	2	also	also	ADV
ap-656	10	3	deliver	deliver	VERB
ap-656	10	4	the	the	DET
ap-656	10	5	overall	overall	ADJ
ap-656	10	6	stress	stress	NOUN
ap-656	10	7	strain	strain	NOUN
ap-656	10	8	behavior	behavior	NOUN
ap-656	10	9	of	of	ADP
ap-656	10	10	the	the	DET
ap-656	10	11	considered	consider	VERB
ap-656	10	12	representative	representative	ADJ
ap-656	10	13	volume	volume	NOUN
ap-656	10	14	element	element	NOUN
ap-656	10	15	of	of	ADP
ap-656	10	16	the	the	DET
ap-656	10	17	material	material	NOUN
ap-656	10	18	.	.	PUNCT
ap-656	11	1	use	use	NOUN
ap-656	11	2	is	be	AUX
ap-656	11	3	made	make	VERB
ap-656	11	4	of	of	ADP
ap-656	11	5	finite	finite	ADJ
ap-656	11	6	element	element	NOUN
ap-656	11	7	methods	method	NOUN
ap-656	11	8	or	or	CCONJ
ap-656	11	9	fast	fast	ADJ
ap-656	11	10	fourier	fourier	NOUN
ap-656	11	11	transform	transform	NOUN
ap-656	11	12	solutions	solution	NOUN
ap-656	11	13	.	.	PUNCT
ap-656	12	1	these	these	DET
ap-656	12	2	numerical	numerical	ADJ
ap-656	12	3	methods	method	NOUN
ap-656	12	4	are	be	AUX
ap-656	12	5	limited	limit	VERB
ap-656	12	6	to	to	ADP
ap-656	12	7	quasi	quasi	ADJ
ap-656	12	8	-	-	ADJ
ap-656	12	9	periodic	periodic	ADJ
ap-656	12	10	situations	situation	NOUN
ap-656	12	11	.	.	PUNCT
ap-656	13	1	moreover	moreover	ADV
ap-656	13	2	their	their	PRON
ap-656	13	3	cost	cost	NOUN
ap-656	13	4	is	be	AUX
ap-656	13	5	very	very	ADV
ap-656	13	6	high	high	ADJ
ap-656	13	7	and	and	CCONJ
ap-656	13	8	their	their	PRON
ap-656	13	9	direct	direct	ADJ
ap-656	13	10	use	use	NOUN
ap-656	13	11	in	in	ADP
ap-656	13	12	a	a	DET
ap-656	13	13	true	true	ADJ
ap-656	13	14	structural	structural	ADJ
ap-656	13	15	analysis	analysis	NOUN
ap-656	13	16	is	be	AUX
ap-656	13	17	at	at	ADP
ap-656	13	18	present	present	ADJ
ap-656	13	19	limited	limit	VERB
ap-656	13	20	to	to	ADP
ap-656	13	21	very	very	ADV
ap-656	13	22	special	special	ADJ
ap-656	13	23	cases	case	NOUN
ap-656	13	24	.	.	PUNCT
ap-656	14	1	nonlinear	nonlinear	ADJ
ap-656	14	2	problems	problem	NOUN
ap-656	14	3	of	of	ADP
ap-656	14	4	localization	localization	NOUN
ap-656	14	5	and	and	CCONJ
ap-656	14	6	homogenization	homogenization	NOUN
ap-656	14	7	are	be	AUX
ap-656	14	8	of	of	ADP
ap-656	14	9	great	great	ADJ
ap-656	14	10	importance	importance	NOUN
ap-656	14	11	today	today	NOUN
ap-656	14	12	.	.	PUNCT
ap-656	15	1	not	not	PART
ap-656	15	2	only	only	ADV
ap-656	15	3	classical	classical	ADJ
ap-656	15	4	composites	composite	NOUN
ap-656	15	5	suffer	suffer	VERB
ap-656	15	6	from	from	ADP
ap-656	15	7	deterioration	deterioration	NOUN
ap-656	15	8	of	of	ADP
ap-656	15	9	the	the	DET
ap-656	15	10	material	material	NOUN
ap-656	15	11	due	due	ADP
ap-656	15	12	to	to	ADP
ap-656	15	13	hereditary	hereditary	ADJ
ap-656	15	14	problems	problem	NOUN
ap-656	15	15	(	(	PUNCT
ap-656	15	16	aging	aging	NOUN
ap-656	15	17	,	,	PUNCT
ap-656	15	18	viscoelasticity	viscoelasticity	NOUN
ap-656	15	19	)	)	PUNCT
ap-656	15	20	.	.	PUNCT
ap-656	16	1	on	on	ADP
ap-656	16	2	the	the	DET
ap-656	16	3	other	other	ADJ
ap-656	16	4	hand	hand	NOUN
ap-656	16	5	,	,	PUNCT
ap-656	16	6	composite	composite	ADJ
ap-656	16	7	materials	material	NOUN
ap-656	16	8	prepared	prepare	VERB
ap-656	16	9	in	in	ADP
ap-656	16	10	a	a	DET
ap-656	16	11	special	special	ADJ
ap-656	16	12	way	way	NOUN
ap-656	16	13	can	can	AUX
ap-656	16	14	improve	improve	VERB
ap-656	16	15	the	the	DET
ap-656	16	16	properties	property	NOUN
ap-656	16	17	of	of	ADP
ap-656	16	18	another	another	DET
ap-656	16	19	materials	material	NOUN
ap-656	16	20	,	,	PUNCT
ap-656	16	21	and	and	CCONJ
ap-656	16	22	the	the	DET
ap-656	16	23	resulting	result	VERB
ap-656	16	24	effect	effect	NOUN
ap-656	16	25	can	can	AUX
ap-656	16	26	be	be	AUX
ap-656	16	27	much	much	ADV
ap-656	16	28	better	well	ADJ
ap-656	16	29	than	than	ADP
ap-656	16	30	before	before	ADV
ap-656	16	31	.	.	PUNCT
ap-656	17	1	in	in	ADP
ap-656	17	2	this	this	DET
ap-656	17	3	case	case	NOUN
ap-656	17	4	,	,	PUNCT
ap-656	17	5	nonlinear	nonlinear	ADJ
ap-656	17	6	and	and	CCONJ
ap-656	17	7	time	time	NOUN
ap-656	17	8	dependent	dependent	ADJ
ap-656	17	9	behavior	behavior	NOUN
ap-656	17	10	has	have	VERB
ap-656	17	11	to	to	PART
ap-656	17	12	be	be	AUX
ap-656	17	13	taken	take	VERB
ap-656	17	14	into	into	ADP
ap-656	17	15	account	account	NOUN
ap-656	17	16	.	.	PUNCT
ap-656	18	1	the	the	DET
ap-656	18	2	present	present	ADJ
ap-656	18	3	paper	paper	NOUN
ap-656	18	4	develops	develop	VERB
ap-656	18	5	constitutive	constitutive	ADJ
ap-656	18	6	equations	equation	NOUN
ap-656	18	7	for	for	ADP
ap-656	18	8	inelasticity	inelasticity	NOUN
ap-656	18	9	and	and	CCONJ
ap-656	18	10	damage	damage	NOUN
ap-656	18	11	of	of	ADP
ap-656	18	12	heterogeneous	heterogeneous	ADJ
ap-656	18	13	materials	material	NOUN
ap-656	18	14	that	that	PRON
ap-656	18	15	benefit	benefit	VERB
ap-656	18	16	from	from	ADP
ap-656	18	17	some	some	DET
ap-656	18	18	specificities	specificity	NOUN
ap-656	18	19	of	of	ADP
ap-656	18	20	a	a	DET
ap-656	18	21	special	special	ADJ
ap-656	18	22	boundary	boundary	ADJ
ap-656	18	23	element	element	NOUN
ap-656	18	24	method	method	NOUN
ap-656	18	25	.	.	PUNCT
ap-656	19	1	on	on	ADP
ap-656	19	2	the	the	DET
ap-656	19	3	one	one	NUM
ap-656	19	4	hand	hand	NOUN
ap-656	19	5	,	,	PUNCT
ap-656	19	6	we	we	PRON
ap-656	19	7	need	need	VERB
ap-656	19	8	to	to	PART
ap-656	19	9	obtain	obtain	VERB
ap-656	19	10	better	well	ADJ
ap-656	19	11	approximations	approximation	NOUN
ap-656	19	12	of	of	ADP
ap-656	19	13	the	the	DET
ap-656	19	14	local	local	ADJ
ap-656	19	15	stress	stress	NOUN
ap-656	19	16	and	and	CCONJ
ap-656	19	17	strain	strain	VERB
ap-656	19	18	fields	field	NOUN
ap-656	19	19	than	than	SCONJ
ap-656	19	20	are	be	AUX
ap-656	19	21	provided	provide	VERB
ap-656	19	22	by	by	ADP
ap-656	19	23	eshelby	eshelby	PROPN
ap-656	19	24	based	base	VERB
ap-656	19	25	approaches	approach	NOUN
ap-656	19	26	,	,	PUNCT
ap-656	19	27	especially	especially	ADV
ap-656	19	28	when	when	SCONJ
ap-656	19	29	considering	consider	VERB
ap-656	19	30	damage	damage	NOUN
ap-656	19	31	and	and	CCONJ
ap-656	19	32	failure	failure	NOUN
ap-656	19	33	conditions	condition	NOUN
ap-656	19	34	.	.	PUNCT
ap-656	20	1	on	on	ADP
ap-656	20	2	the	the	DET
ap-656	20	3	other	other	ADJ
ap-656	20	4	band	band	NOUN
ap-656	20	5	,	,	PUNCT
ap-656	20	6	we	we	PRON
ap-656	20	7	want	want	VERB
ap-656	20	8	to	to	PART
ap-656	20	9	simplify	simplify	VERB
ap-656	20	10	the	the	DET
ap-656	20	11	numerical	numerical	ADJ
ap-656	20	12	techniques	technique	NOUN
ap-656	20	13	of	of	ADP
ap-656	20	14	overall	overall	ADJ
ap-656	20	15	homogenization	homogenization	NOUN
ap-656	20	16	in	in	ADP
ap-656	20	17	order	order	NOUN
ap-656	20	18	to	to	PART
ap-656	20	19	obtain	obtain	VERB
ap-656	20	20	a	a	DET
ap-656	20	21	treatable	treatable	ADJ
ap-656	20	22	system	system	NOUN
ap-656	20	23	of	of	ADP
ap-656	20	24	equations	equation	NOUN
ap-656	20	25	that	that	PRON
ap-656	20	26	can	can	AUX
ap-656	20	27	recover	recover	VERB
ap-656	20	28	the	the	DET
ap-656	20	29	status	status	NOUN
ap-656	20	30	of	of	ADP
ap-656	20	31	a	a	DET
ap-656	20	32	constitutive	constitutive	ADJ
ap-656	20	33	equation	equation	NOUN
ap-656	20	34	.	.	PUNCT
ap-656	21	1	in	in	ADP
ap-656	21	2	this	this	DET
ap-656	21	3	paper	paper	NOUN
ap-656	21	4	we	we	PRON
ap-656	21	5	restrict	restrict	VERB
ap-656	21	6	ourselves	ourselves	PRON
ap-656	21	7	to	to	ADP
ap-656	21	8	the	the	DET
ap-656	21	9	application	application	NOUN
ap-656	21	10	and	and	CCONJ
ap-656	21	11	improvement	improvement	NOUN
ap-656	21	12	of	of	ADP
ap-656	21	13	a	a	DET
ap-656	21	14	method	method	NOUN
ap-656	21	15	proposed	propose	VERB
ap-656	21	16	initially	initially	ADV
ap-656	21	17	by	by	ADP
ap-656	21	18	laws	law	NOUN
ap-656	21	19	(	(	PUNCT
ap-656	21	20	laws	law	NOUN
ap-656	21	21	,	,	PUNCT
ap-656	21	22	1973	1973	NUM
ap-656	21	23	,	,	PUNCT
ap-656	21	24	dvorak	dvorak	PROPN
ap-656	21	25	,	,	PUNCT
ap-656	21	26	1992	1992	NUM
ap-656	21	27	)	)	PUNCT
ap-656	21	28	.	.	PUNCT
ap-656	22	1	the	the	DET
ap-656	22	2	most	most	ADV
ap-656	22	3	elaborated	elaborate	VERB
ap-656	22	4	version	version	NOUN
ap-656	22	5	,	,	PUNCT
ap-656	22	6	called	call	VERB
ap-656	22	7	transformation	transformation	NOUN
ap-656	22	8	field	field	NOUN
ap-656	22	9	analysis	analysis	NOUN
ap-656	22	10	(	(	PUNCT
ap-656	22	11	tfa	tfa	NOUN
ap-656	22	12	)	)	PUNCT
ap-656	22	13	(	(	PUNCT
ap-656	22	14	dvorak	dvorak	NOUN
ap-656	22	15	and	and	CCONJ
ap-656	22	16	benveniste	benveniste	NOUN
ap-656	22	17	,	,	PUNCT
ap-656	22	18	1992	1992	NUM
ap-656	22	19	)	)	PUNCT
ap-656	22	20	,	,	PUNCT
ap-656	22	21	incorporates	incorporate	VERB
ap-656	22	22	in	in	ADP
ap-656	22	23	the	the	DET
ap-656	22	24	same	same	ADJ
ap-656	22	25	framework	framework	NOUN
ap-656	22	26	thermo	thermo	NOUN
ap-656	22	27	-	-	PUNCT
ap-656	22	28	elasticity	elasticity	NOUN
ap-656	22	29	,	,	PUNCT
ap-656	22	30	plasticity	plasticity	NOUN
ap-656	22	31	and	and	CCONJ
ap-656	22	32	viscoelasticity	viscoelasticity	NOUN
ap-656	22	33	(	(	PUNCT
ap-656	22	34	dvorak	dvorak	PROPN
ap-656	22	35	,	,	PUNCT
ap-656	22	36	1992	1992	NUM
ap-656	22	37	)	)	PUNCT
ap-656	22	38	,	,	PUNCT
ap-656	22	39	or	or	CCONJ
ap-656	22	40	even	even	ADV
ap-656	22	41	piezoelectric	piezoelectric	ADJ
ap-656	22	42	-	-	PUNCT
ap-656	22	43	elasticity	elasticity	NOUN
ap-656	22	44	couplings	coupling	NOUN
ap-656	22	45	(	(	PUNCT
ap-656	22	46	benveniste	benveniste	NOUN
ap-656	22	47	,	,	PUNCT
ap-656	22	48	1993	1993	NUM
ap-656	22	49	)	)	PUNCT
ap-656	22	50	.	.	PUNCT
ap-656	23	1	it	it	PRON
ap-656	23	2	can	can	AUX
ap-656	23	3	be	be	AUX
ap-656	23	4	used	use	VERB
ap-656	23	5	either	either	CCONJ
ap-656	23	6	with	with	ADP
ap-656	23	7	a	a	DET
ap-656	23	8	low	low	ADJ
ap-656	23	9	number	number	NOUN
ap-656	23	10	of	of	ADP
ap-656	23	11	sub	sub	NOUN
ap-656	23	12	-	-	NOUN
ap-656	23	13	volumes	volume	NOUN
ap-656	23	14	(	(	PUNCT
ap-656	23	15	or	or	CCONJ
ap-656	23	16	subphases	subphase	NOUN
ap-656	23	17	)	)	PUNCT
ap-656	23	18	,	,	PUNCT
ap-656	23	19	typically	typically	ADV
ap-656	23	20	one	one	NUM
ap-656	23	21	subvolume	subvolume	NOUN
ap-656	23	22	per	per	ADP
ap-656	23	23	actual	actual	ADJ
ap-656	23	24	phase	phase	NOUN
ap-656	23	25	,	,	PUNCT
ap-656	23	26	then	then	ADV
ap-656	23	27	recovering	recover	VERB
ap-656	23	28	the	the	DET
ap-656	23	29	context	context	NOUN
ap-656	23	30	of	of	ADP
ap-656	23	31	eshelby	eshelby	PROPN
ap-656	23	32	type	type	NOUN
ap-656	23	33	approaches	approach	NOUN
ap-656	23	34	,	,	PUNCT
ap-656	23	35	or	or	CCONJ
ap-656	23	36	with	with	ADP
ap-656	23	37	a	a	DET
ap-656	23	38	larger	large	ADJ
ap-656	23	39	number	number	NOUN
ap-656	23	40	194	194	NUM
ap-656	23	41	©	©	PROPN
ap-656	23	42	czech	czech	PROPN
ap-656	23	43	technical	technical	PROPN
ap-656	23	44	university	university	PROPN
ap-656	23	45	publishing	publishing	NOUN
ap-656	23	46	house	house	NOUN
ap-656	23	47	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-656	23	48	acta	acta	PROPN
ap-656	23	49	polytechnica	polytechnica	PROPN
ap-656	23	50	vol	vol	NOUN
ap-656	23	51	.	.	PROPN
ap-656	24	1	44	44	NUM
ap-656	24	2	no.5–6/2004	no.5–6/2004	NOUN
ap-656	24	3	micromechanics	micromechanic	NOUN
ap-656	24	4	based	base	VERB
ap-656	24	5	inelastic	inelastic	ADJ
ap-656	24	6	and	and	CCONJ
ap-656	24	7	damage	damage	NOUN
ap-656	24	8	modeling	modeling	NOUN
ap-656	24	9	of	of	ADP
ap-656	24	10	composites	composite	NOUN
ap-656	25	1	p.	p.	PROPN
ap-656	25	2	p.	p.	NOUN
ap-656	26	1	procházka	procházka	PROPN
ap-656	26	2	micromechanics	micromechanic	NOUN
ap-656	26	3	based	base	VERB
ap-656	26	4	models	model	NOUN
ap-656	26	5	are	be	AUX
ap-656	26	6	considered	consider	VERB
ap-656	26	7	for	for	ADP
ap-656	26	8	application	application	NOUN
ap-656	26	9	to	to	ADP
ap-656	26	10	viscoelasticity	viscoelasticity	NOUN
ap-656	26	11	and	and	CCONJ
ap-656	26	12	damage	damage	NOUN
ap-656	26	13	in	in	ADP
ap-656	26	14	metal	metal	NOUN
ap-656	26	15	matrix	matrix	NOUN
ap-656	26	16	composites	composite	NOUN
ap-656	26	17	.	.	PUNCT
ap-656	27	1	the	the	DET
ap-656	27	2	method	method	NOUN
ap-656	27	3	proposes	propose	VERB
ap-656	27	4	a	a	DET
ap-656	27	5	continuation	continuation	NOUN
ap-656	27	6	and	and	CCONJ
ap-656	27	7	development	development	NOUN
ap-656	27	8	of	of	ADP
ap-656	27	9	dvo	dvo	PROPN
ap-656	27	10	ák	ák	PROPN
ap-656	27	11	’s	’s	PART
ap-656	27	12	transformation	transformation	NOUN
ap-656	27	13	field	field	NOUN
ap-656	27	14	analysis	analysis	NOUN
ap-656	27	15	,	,	PUNCT
ap-656	27	16	considering	consider	VERB
ap-656	27	17	the	the	DET
ap-656	27	18	piecewise	piecewise	NOUN
ap-656	27	19	uniform	uniform	NOUN
ap-656	27	20	eigenstrains	eigenstrain	NOUN
ap-656	27	21	in	in	ADP
ap-656	27	22	each	each	DET
ap-656	27	23	material	material	NOUN
ap-656	27	24	phase	phase	NOUN
ap-656	27	25	.	.	PUNCT
ap-656	28	1	standard	standard	ADJ
ap-656	28	2	applications	application	NOUN
ap-656	28	3	of	of	ADP
ap-656	28	4	the	the	DET
ap-656	28	5	method	method	NOUN
ap-656	28	6	to	to	ADP
ap-656	28	7	a	a	DET
ap-656	28	8	two	two	NUM
ap-656	28	9	-	-	PUNCT
ap-656	28	10	phase	phase	NOUN
ap-656	28	11	are	be	AUX
ap-656	28	12	considered	consider	VERB
ap-656	28	13	in	in	ADP
ap-656	28	14	this	this	DET
ap-656	28	15	study	study	NOUN
ap-656	28	16	model	model	NOUN
ap-656	28	17	,	,	PUNCT
ap-656	28	18	i.e.	i.e.	X
ap-656	28	19	,	,	PUNCT
ap-656	28	20	only	only	ADV
ap-656	28	21	one	one	NUM
ap-656	28	22	sub	sub	NOUN
ap-656	28	23	-	-	NOUN
ap-656	28	24	volume	volume	NOUN
ap-656	28	25	per	per	ADP
ap-656	28	26	phase	phase	NOUN
ap-656	28	27	is	be	AUX
ap-656	28	28	considered	consider	VERB
ap-656	28	29	.	.	PUNCT
ap-656	29	1	a	a	DET
ap-656	29	2	continuous	continuous	ADJ
ap-656	29	3	model	model	NOUN
ap-656	29	4	is	be	AUX
ap-656	29	5	used	use	VERB
ap-656	29	6	,	,	PUNCT
ap-656	29	7	employing	employ	VERB
ap-656	29	8	transformation	transformation	NOUN
ap-656	29	9	field	field	NOUN
ap-656	29	10	analysis	analysis	NOUN
ap-656	29	11	with	with	ADP
ap-656	29	12	softening	soften	VERB
ap-656	29	13	in	in	ADP
ap-656	29	14	order	order	NOUN
ap-656	29	15	to	to	PART
ap-656	29	16	prevent	prevent	VERB
ap-656	29	17	the	the	DET
ap-656	29	18	tensile	tensile	NOUN
ap-656	29	19	stress	stress	NOUN
ap-656	29	20	overstepping	overstep	VERB
ap-656	29	21	the	the	DET
ap-656	29	22	tensile	tensile	NOUN
ap-656	29	23	strength	strength	NOUN
ap-656	29	24	.	.	PUNCT
ap-656	30	1	at	at	ADP
ap-656	30	2	the	the	DET
ap-656	30	3	same	same	ADJ
ap-656	30	4	time	time	NOUN
ap-656	30	5	shear	shear	NOUN
ap-656	30	6	cracking	cracking	NOUN
ap-656	30	7	occurs	occur	VERB
ap-656	30	8	in	in	ADP
ap-656	30	9	the	the	DET
ap-656	30	10	tangential	tangential	ADJ
ap-656	30	11	direction	direction	NOUN
ap-656	30	12	of	of	ADP
ap-656	30	13	the	the	DET
ap-656	30	14	possible	possible	ADJ
ap-656	30	15	crack	crack	NOUN
ap-656	30	16	.	.	PUNCT
ap-656	31	1	this	this	PRON
ap-656	31	2	is	be	AUX
ap-656	31	3	considered	consider	VERB
ap-656	31	4	in	in	ADP
ap-656	31	5	the	the	DET
ap-656	31	6	principal	principal	ADJ
ap-656	31	7	shear	shear	NOUN
ap-656	31	8	stresses	stress	NOUN
ap-656	31	9	and	and	CCONJ
ap-656	31	10	they	they	PRON
ap-656	31	11	make	make	VERB
ap-656	31	12	disconnections	disconnection	NOUN
ap-656	31	13	in	in	ADP
ap-656	31	14	displacements	displacement	NOUN
ap-656	31	15	.	.	PUNCT
ap-656	32	1	in	in	ADP
ap-656	32	2	this	this	DET
ap-656	32	3	case	case	NOUN
ap-656	32	4	,	,	PUNCT
ap-656	32	5	discontinuous	discontinuous	ADJ
ap-656	32	6	models	model	NOUN
ap-656	32	7	are	be	AUX
ap-656	32	8	more	more	ADV
ap-656	32	9	promising	promising	ADJ
ap-656	32	10	.	.	PUNCT
ap-656	33	1	because	because	SCONJ
ap-656	33	2	discrete	discrete	ADJ
ap-656	33	3	models	model	NOUN
ap-656	33	4	,	,	PUNCT
ap-656	33	5	that	that	PRON
ap-656	33	6	can	can	AUX
ap-656	33	7	describe	describe	VERB
ap-656	33	8	the	the	DET
ap-656	33	9	situation	situation	NOUN
ap-656	33	10	more	more	ADV
ap-656	33	11	realistically	realistically	ADV
ap-656	33	12	have	have	AUX
ap-656	33	13	not	not	PART
ap-656	33	14	been	be	AUX
ap-656	33	15	worked	work	VERB
ap-656	33	16	out	out	ADP
ap-656	33	17	in	in	ADP
ap-656	33	18	detail	detail	NOUN
ap-656	33	19	,	,	PUNCT
ap-656	33	20	we	we	PRON
ap-656	33	21	retain	retain	VERB
ap-656	33	22	a	a	DET
ap-656	33	23	continuous	continuous	ADJ
ap-656	33	24	model	model	NOUN
ap-656	33	25	and	and	CCONJ
ap-656	33	26	substitute	substitute	NOUN
ap-656	33	27	the	the	DET
ap-656	33	28	slip	slip	NOUN
ap-656	33	29	caused	cause	VERB
ap-656	33	30	by	by	ADP
ap-656	33	31	overstepping	overstep	VERB
ap-656	33	32	the	the	DET
ap-656	33	33	damage	damage	NOUN
ap-656	33	34	law	law	NOUN
ap-656	33	35	by	by	ADP
ap-656	33	36	introducing	introduce	VERB
ap-656	33	37	eigenparameters	eigenparameter	NOUN
ap-656	33	38	from	from	ADP
ap-656	33	39	tfa	tfa	PROPN
ap-656	33	40	.	.	PUNCT
ap-656	34	1	the	the	DET
ap-656	34	2	various	various	ADJ
ap-656	34	3	aspects	aspect	NOUN
ap-656	34	4	of	of	ADP
ap-656	34	5	the	the	DET
ap-656	34	6	proposed	propose	VERB
ap-656	34	7	methods	method	NOUN
ap-656	34	8	are	be	AUX
ap-656	34	9	systematically	systematically	ADV
ap-656	34	10	checked	check	VERB
ap-656	34	11	by	by	ADP
ap-656	34	12	comparing	compare	VERB
ap-656	34	13	with	with	ADP
ap-656	34	14	finite	finite	PROPN
ap-656	34	15	element	element	NOUN
ap-656	34	16	unit	unit	NOUN
ap-656	34	17	cell	cell	NOUN
ap-656	34	18	analyses	analysis	NOUN
ap-656	34	19	,	,	PUNCT
ap-656	34	20	made	make	VERB
ap-656	34	21	through	through	ADP
ap-656	34	22	periodic	periodic	ADJ
ap-656	34	23	homogenization	homogenization	NOUN
ap-656	34	24	assumptions	assumption	NOUN
ap-656	34	25	,	,	PUNCT
ap-656	34	26	for	for	ADP
ap-656	34	27	sic	sic	ADJ
ap-656	34	28	/	/	SYM
ap-656	34	29	ti	ti	NOUN
ap-656	34	30	unidirectional	unidirectional	ADJ
ap-656	34	31	lay	lay	NOUN
ap-656	34	32	-	-	PUNCT
ap-656	34	33	ups	up	NOUN
ap-656	34	34	.	.	PUNCT
ap-656	35	1	keywords	keyword	NOUN
ap-656	35	2	:	:	PUNCT
ap-656	35	3	elastic	elastic	ADJ
ap-656	35	4	-	-	PUNCT
ap-656	35	5	viscoelastic	viscoelastic	NOUN
ap-656	35	6	material	material	NOUN
ap-656	35	7	,	,	PUNCT
ap-656	35	8	anisotropic	anisotropic	NOUN
ap-656	35	9	material	material	NOUN
ap-656	35	10	,	,	PUNCT
ap-656	35	11	constitutive	constitutive	ADJ
ap-656	35	12	behavior	behavior	NOUN
ap-656	35	13	,	,	PUNCT
ap-656	35	14	inhomogeneous	inhomogeneous	ADJ
ap-656	35	15	material	material	NOUN
ap-656	35	16	,	,	PUNCT
ap-656	35	17	microcracking	microcracking	NOUN
ap-656	35	18	.	.	PROPN
ap-656	35	19	of	of	ADP
ap-656	35	20	sub	sub	NOUN
ap-656	35	21	-	-	NOUN
ap-656	35	22	volumes	volume	NOUN
ap-656	35	23	,	,	PUNCT
ap-656	35	24	corresponding	correspond	VERB
ap-656	35	25	to	to	ADP
ap-656	35	26	some	some	DET
ap-656	35	27	simplifications	simplification	NOUN
ap-656	35	28	(	(	PUNCT
ap-656	35	29	or	or	CCONJ
ap-656	35	30	averaging	average	VERB
ap-656	35	31	)	)	PUNCT
ap-656	35	32	of	of	ADP
ap-656	35	33	the	the	DET
ap-656	35	34	finite	finite	PROPN
ap-656	35	35	element	element	NOUN
ap-656	35	36	based	base	VERB
ap-656	35	37	methods	method	NOUN
ap-656	35	38	.	.	PUNCT
ap-656	36	1	we	we	PRON
ap-656	36	2	note	note	VERB
ap-656	36	3	the	the	DET
ap-656	36	4	main	main	ADJ
ap-656	36	5	lines	line	NOUN
ap-656	36	6	of	of	ADP
ap-656	36	7	the	the	DET
ap-656	36	8	tfa	tfa	NOUN
ap-656	36	9	method	method	NOUN
ap-656	36	10	,	,	PUNCT
ap-656	36	11	and	and	CCONJ
ap-656	36	12	some	some	PRON
ap-656	36	13	of	of	ADP
ap-656	36	14	its	its	PRON
ap-656	36	15	properties	property	NOUN
ap-656	36	16	for	for	ADP
ap-656	36	17	two	two	NUM
ap-656	36	18	-	-	PUNCT
ap-656	36	19	phase	phase	NOUN
ap-656	36	20	exploitations	exploitation	NOUN
ap-656	36	21	(	(	PUNCT
ap-656	36	22	dvorak	dvorak	NOUN
ap-656	36	23	and	and	CCONJ
ap-656	36	24	benveniste	benveniste	NOUN
ap-656	36	25	,	,	PUNCT
ap-656	36	26	1992	1992	NUM
ap-656	36	27	)	)	PUNCT
ap-656	36	28	.	.	PUNCT
ap-656	37	1	since	since	SCONJ
ap-656	37	2	we	we	PRON
ap-656	37	3	know	know	VERB
ap-656	37	4	the	the	DET
ap-656	37	5	relative	relative	ADJ
ap-656	37	6	“	"	PUNCT
ap-656	37	7	stiffness	stiffness	NOUN
ap-656	37	8	”	"	PUNCT
ap-656	37	9	of	of	ADP
ap-656	37	10	the	the	DET
ap-656	37	11	method	method	NOUN
ap-656	37	12	when	when	SCONJ
ap-656	37	13	applied	apply	VERB
ap-656	37	14	to	to	ADP
ap-656	37	15	a	a	DET
ap-656	37	16	two	two	NUM
ap-656	37	17	-	-	PUNCT
ap-656	37	18	phase	phase	NOUN
ap-656	37	19	system	system	NOUN
ap-656	37	20	(	(	PUNCT
ap-656	37	21	uniform	uniform	ADJ
ap-656	37	22	fields	field	NOUN
ap-656	37	23	on	on	ADP
ap-656	37	24	each	each	DET
ap-656	37	25	phase	phase	NOUN
ap-656	37	26	)	)	PUNCT
ap-656	37	27	,	,	PUNCT
ap-656	37	28	we	we	PRON
ap-656	37	29	propose	propose	VERB
ap-656	37	30	and	and	CCONJ
ap-656	37	31	exploit	exploit	VERB
ap-656	37	32	a	a	DET
ap-656	37	33	correction	correction	NOUN
ap-656	37	34	method	method	NOUN
ap-656	37	35	that	that	PRON
ap-656	37	36	takes	take	VERB
ap-656	37	37	advantage	advantage	NOUN
ap-656	37	38	of	of	ADP
ap-656	37	39	“	"	PUNCT
ap-656	37	40	tangent	tangent	ADJ
ap-656	37	41	formulation	formulation	NOUN
ap-656	37	42	”	"	PUNCT
ap-656	37	43	under	under	ADP
ap-656	37	44	asymptotic	asymptotic	ADJ
ap-656	37	45	conditions	condition	NOUN
ap-656	37	46	(	(	PUNCT
ap-656	37	47	section	section	NOUN
ap-656	37	48	3	3	NUM
ap-656	37	49	)	)	PUNCT
ap-656	37	50	.	.	PUNCT
ap-656	38	1	introducing	introduce	VERB
ap-656	38	2	damage	damage	NOUN
ap-656	38	3	effects	effect	NOUN
ap-656	38	4	through	through	ADP
ap-656	38	5	a	a	DET
ap-656	38	6	continuum	continuum	ADJ
ap-656	38	7	damage	damage	NOUN
ap-656	38	8	mechanism	mechanism	NOUN
ap-656	38	9	(	(	PUNCT
ap-656	38	10	cdm	cdm	NOUN
ap-656	38	11	)	)	PUNCT
ap-656	38	12	formulation	formulation	NOUN
ap-656	38	13	within	within	ADP
ap-656	38	14	each	each	DET
ap-656	38	15	sub	sub	NOUN
ap-656	38	16	-	-	NOUN
ap-656	38	17	volume	volume	NOUN
ap-656	38	18	,	,	PUNCT
ap-656	38	19	the	the	DET
ap-656	38	20	models	model	NOUN
ap-656	38	21	will	will	AUX
ap-656	38	22	be	be	AUX
ap-656	38	23	based	base	VERB
ap-656	38	24	on	on	ADP
ap-656	38	25	numerical	numerical	ADJ
ap-656	38	26	results	result	NOUN
ap-656	38	27	obtained	obtain	VERB
ap-656	38	28	via	via	ADP
ap-656	38	29	the	the	DET
ap-656	38	30	overall	overall	ADJ
ap-656	38	31	strain	strain	NOUN
ap-656	38	32	over	over	ADP
ap-656	38	33	the	the	DET
ap-656	38	34	external	external	ADJ
ap-656	38	35	boundary	boundary	NOUN
ap-656	38	36	of	of	ADP
ap-656	38	37	representative	representative	ADJ
ap-656	38	38	volume	volume	NOUN
ap-656	38	39	element	element	NOUN
ap-656	38	40	(	(	PUNCT
ap-656	38	41	rva	rva	PROPN
ap-656	38	42	)	)	PUNCT
ap-656	38	43	and	and	CCONJ
ap-656	38	44	the	the	DET
ap-656	38	45	localization	localization	NOUN
ap-656	38	46	process	process	NOUN
ap-656	38	47	.	.	PUNCT
ap-656	39	1	the	the	DET
ap-656	39	2	boundary	boundary	ADJ
ap-656	39	3	element	element	NOUN
ap-656	39	4	method	method	NOUN
ap-656	39	5	is	be	AUX
ap-656	39	6	used	use	VERB
ap-656	39	7	as	as	ADP
ap-656	39	8	a	a	DET
ap-656	39	9	very	very	ADV
ap-656	39	10	powerful	powerful	ADJ
ap-656	39	11	tool	tool	NOUN
ap-656	39	12	for	for	ADP
ap-656	39	13	problems	problem	NOUN
ap-656	39	14	of	of	ADP
ap-656	39	15	this	this	DET
ap-656	39	16	kind	kind	NOUN
ap-656	39	17	.	.	PUNCT
ap-656	40	1	the	the	DET
ap-656	40	2	method	method	NOUN
ap-656	40	3	has	have	AUX
ap-656	40	4	proved	prove	VERB
ap-656	40	5	to	to	PART
ap-656	40	6	be	be	AUX
ap-656	40	7	appropriate	appropriate	ADJ
ap-656	40	8	particularly	particularly	ADV
ap-656	40	9	for	for	ADP
ap-656	40	10	solving	solve	VERB
ap-656	40	11	the	the	DET
ap-656	40	12	contact	contact	NOUN
ap-656	40	13	problem	problem	NOUN
ap-656	40	14	of	of	ADP
ap-656	40	15	debonding	debonding	NOUN
ap-656	40	16	fibers	fiber	NOUN
ap-656	40	17	from	from	ADP
ap-656	40	18	the	the	DET
ap-656	40	19	matrix	matrix	NOUN
ap-656	40	20	,	,	PUNCT
ap-656	40	21	and	and	CCONJ
ap-656	40	22	also	also	ADV
ap-656	40	23	for	for	ADP
ap-656	40	24	“	"	PUNCT
ap-656	40	25	softening	soften	VERB
ap-656	40	26	”	"	PUNCT
ap-656	40	27	of	of	ADP
ap-656	40	28	the	the	DET
ap-656	40	29	matrix	matrix	NOUN
ap-656	40	30	due	due	ADP
ap-656	40	31	to	to	ADP
ap-656	40	32	damage	damage	NOUN
ap-656	40	33	,	,	PUNCT
ap-656	40	34	cracking	cracking	NOUN
ap-656	40	35	,	,	PUNCT
ap-656	40	36	and	and	CCONJ
ap-656	40	37	other	other	ADJ
ap-656	40	38	continuum	continuum	ADJ
ap-656	40	39	phenomena	phenomenon	NOUN
ap-656	40	40	.	.	PUNCT
ap-656	41	1	2	2	NUM
ap-656	41	2	transformation	transformation	NOUN
ap-656	41	3	field	field	NOUN
ap-656	41	4	analysis	analysis	NOUN
ap-656	41	5	2.1	2.1	NUM
ap-656	41	6	local	local	ADJ
ap-656	41	7	and	and	CCONJ
ap-656	41	8	overall	overall	ADJ
ap-656	41	9	constitutive	constitutive	ADJ
ap-656	41	10	equations	equation	NOUN
ap-656	41	11	we	we	PRON
ap-656	41	12	begin	begin	VERB
ap-656	41	13	by	by	ADP
ap-656	41	14	the	the	DET
ap-656	41	15	expression	expression	NOUN
ap-656	41	16	for	for	ADP
ap-656	41	17	the	the	DET
ap-656	41	18	local	local	ADJ
ap-656	41	19	elastic	elastic	ADJ
ap-656	41	20	constitutive	constitutive	ADJ
ap-656	41	21	equations	equation	NOUN
ap-656	41	22	,	,	PUNCT
ap-656	41	23	assuming	assume	VERB
ap-656	41	24	a	a	DET
ap-656	41	25	uniform	uniform	ADJ
ap-656	41	26	elastic	elastic	ADJ
ap-656	41	27	stiffness	stiffness	NOUN
ap-656	41	28	lr	lr	NOUN
ap-656	41	29	over	over	ADP
ap-656	41	30	each	each	DET
ap-656	41	31	sub	sub	NOUN
ap-656	41	32	-	-	NOUN
ap-656	41	33	volume	volume	ADJ
ap-656	41	34	vr	vr	NOUN
ap-656	41	35	.	.	PUNCT
ap-656	42	1	the	the	DET
ap-656	42	2	local	local	ADJ
ap-656	42	3	stresses	stress	NOUN
ap-656	42	4	�	�	PROPN
ap-656	42	5	r(x	r(x	PROPN
ap-656	42	6	)	)	PUNCT
ap-656	42	7	and	and	CCONJ
ap-656	42	8	strains	strain	NOUN
ap-656	42	9	�	�	PROPN
ap-656	42	10	r(x	r(x	NOUN
ap-656	42	11	)	)	PUNCT
ap-656	42	12	relate	relate	VERB
ap-656	42	13	by	by	ADP
ap-656	42	14	:	:	PUNCT
ap-656	42	15	�	�	PROPN
ap-656	42	16	�	�	PROPN
ap-656	42	17	�	�	PROPN
ap-656	42	18	�	�	PROPN
ap-656	42	19	�	�	PROPN
ap-656	42	20	�	�	PROPN
ap-656	42	21	�	�	PROPN
ap-656	42	22	�	�	PROPN
ap-656	42	23	r	r	NOUN
ap-656	42	24	r	r	NOUN
ap-656	42	25	r	r	NOUN
ap-656	42	26	r	r	NOUN
ap-656	42	27	r	r	NOUN
ap-656	42	28	r	r	NOUN
ap-656	42	29	r	r	NOUN
ap-656	42	30	r	r	NOUN
ap-656	42	31	r	r	NOUN
ap-656	42	32	r	r	NOUN
ap-656	42	33	r	r	NOUN
ap-656	42	34	(	(	PUNCT
ap-656	42	35	)	)	PUNCT
ap-656	42	36	(	(	PUNCT
ap-656	42	37	)	)	PUNCT
ap-656	42	38	,	,	PUNCT
ap-656	42	39	(	(	PUNCT
ap-656	42	40	)	)	PUNCT
ap-656	42	41	(	(	PUNCT
ap-656	42	42	)	)	PUNCT
ap-656	42	43	(	(	PUNCT
ap-656	42	44	)	)	PUNCT
ap-656	42	45	(	(	PUNCT
ap-656	42	46	)	)	PUNCT
ap-656	42	47	(	(	PUNCT
ap-656	42	48	x	x	PUNCT
ap-656	42	49	l	l	NOUN
ap-656	42	50	x	x	PUNCT
ap-656	42	51	x	x	PUNCT
ap-656	42	52	l	l	NOUN
ap-656	42	53	x	x	PUNCT
ap-656	42	54	x	x	PUNCT
ap-656	42	55	x	x	SYM
ap-656	42	56	c	c	PROPN
ap-656	42	57	�	�	PROPN
ap-656	42	58	�	�	PROPN
ap-656	42	59	�	�	PROPN
ap-656	42	60	�	�	PROPN
ap-656	42	61	�	�	PROPN
ap-656	42	62	�	�	PROPN
ap-656	42	63	�	�	PROPN
ap-656	42	64	1	1	NUM
ap-656	42	65	x	x	SYM
ap-656	42	66	x	x	NOUN
ap-656	42	67	)	)	PUNCT
ap-656	42	68	(	(	PUNCT
ap-656	42	69	)	)	PUNCT
ap-656	42	70	�	�	PROPN
ap-656	42	71	�	�	PROPN
ap-656	42	72	r	r	NOUN
ap-656	42	73	(	(	PUNCT
ap-656	42	74	1	1	NUM
ap-656	42	75	)	)	PUNCT
ap-656	42	76	prescribed	prescribe	VERB
ap-656	42	77	distribution	distribution	NOUN
ap-656	42	78	of	of	ADP
ap-656	42	79	local	local	ADJ
ap-656	42	80	eigenstrains	eigenstrain	NOUN
ap-656	42	81	is	be	AUX
ap-656	42	82	denoted	denote	VERB
ap-656	42	83	�	�	PROPN
ap-656	42	84	r	r	NOUN
ap-656	42	85	(	(	PUNCT
ap-656	42	86	)	)	PUNCT
ap-656	42	87	x	x	PROPN
ap-656	42	88	and	and	CCONJ
ap-656	42	89	�	�	PROPN
ap-656	42	90	�	�	PROPN
ap-656	42	91	r	r	NOUN
ap-656	42	92	r	r	NOUN
ap-656	42	93	r	r	NOUN
ap-656	42	94	(	(	PUNCT
ap-656	42	95	)	)	PUNCT
ap-656	42	96	(	(	PUNCT
ap-656	42	97	)	)	PUNCT
ap-656	42	98	x	x	X
ap-656	43	1	l	l	NOUN
ap-656	43	2	x	x	X
ap-656	43	3	�	�	PROPN
ap-656	43	4	�	�	PROPN
ap-656	43	5	is	be	AUX
ap-656	43	6	the	the	DET
ap-656	43	7	corresponding	correspond	VERB
ap-656	43	8	eigenstress	eigenstress	NOUN
ap-656	43	9	fieid	fieid	NOUN
ap-656	43	10	.	.	PUNCT
ap-656	44	1	these	these	DET
ap-656	44	2	eigenstrains	eigenstrain	NOUN
ap-656	44	3	can	can	AUX
ap-656	44	4	be	be	AUX
ap-656	44	5	thermal	thermal	ADJ
ap-656	44	6	strains	strain	NOUN
ap-656	44	7	,	,	PUNCT
ap-656	44	8	piastic	piastic	ADJ
ap-656	44	9	strains	strain	NOUN
ap-656	44	10	,	,	PUNCT
ap-656	44	11	transformation	transformation	NOUN
ap-656	44	12	strains	strain	VERB
ap-656	44	13	.	.	PUNCT
ap-656	45	1	in	in	ADP
ap-656	45	2	the	the	DET
ap-656	45	3	macroscale	macroscale	NOUN
ap-656	45	4	,	,	PUNCT
ap-656	45	5	the	the	DET
ap-656	45	6	overall	overall	ADJ
ap-656	45	7	(	(	PUNCT
ap-656	45	8	uniform	uniform	NOUN
ap-656	45	9	)	)	PUNCT
ap-656	45	10	strain	strain	NOUN
ap-656	45	11	e	e	NOUN
ap-656	45	12	and	and	CCONJ
ap-656	45	13	stress	stress	NOUN
ap-656	45	14	�	�	PROPN
ap-656	45	15	are	be	AUX
ap-656	45	16	also	also	ADV
ap-656	45	17	reiated	reiate	VERB
ap-656	45	18	by	by	ADP
ap-656	45	19	:	:	PUNCT
ap-656	45	20	�	�	PROPN
ap-656	45	21	�	�	PROPN
ap-656	45	22	�	�	PROPN
ap-656	45	23	�	�	PROPN
ap-656	45	24	l	l	NOUN
ap-656	45	25	e	e	NOUN
ap-656	45	26	,	,	PUNCT
ap-656	45	27	e	e	PROPN
ap-656	45	28	l	l	X
ap-656	45	29	�	�	PROPN
ap-656	45	30	�	�	PROPN
ap-656	45	31	�	�	PROPN
ap-656	45	32	1	1	NUM
ap-656	45	33	�	�	PROPN
ap-656	45	34	�	�	PROPN
ap-656	45	35	(	(	PUNCT
ap-656	45	36	2	2	NUM
ap-656	45	37	)	)	PUNCT
ap-656	45	38	where	where	SCONJ
ap-656	45	39	l	l	NOUN
ap-656	45	40	is	be	AUX
ap-656	45	41	the	the	DET
ap-656	45	42	overall	overall	ADJ
ap-656	45	43	elastic	elastic	ADJ
ap-656	45	44	stiffness	stiffness	NOUN
ap-656	45	45	matrix	matrix	NOUN
ap-656	45	46	and	and	CCONJ
ap-656	45	47	�	�	PROPN
ap-656	45	48	and	and	CCONJ
ap-656	45	49	�	�	PROPN
ap-656	45	50	are	be	AUX
ap-656	45	51	eigenstresses	eigenstresse	NOUN
ap-656	45	52	and	and	CCONJ
ap-656	45	53	eigenstrains	eigenstrain	NOUN
ap-656	45	54	.	.	PUNCT
ap-656	46	1	in	in	ADP
ap-656	46	2	the	the	DET
ap-656	46	3	case	case	NOUN
ap-656	46	4	of	of	ADP
ap-656	46	5	pure	pure	ADJ
ap-656	46	6	elasticity	elasticity	NOUN
ap-656	46	7	,	,	PUNCT
ap-656	46	8	eigenstrains	eigenstrain	NOUN
ap-656	46	9	and	and	CCONJ
ap-656	46	10	eigenstresses	eigenstresse	VERB
ap-656	46	11	may	may	AUX
ap-656	46	12	be	be	AUX
ap-656	46	13	given	give	VERB
ap-656	46	14	by	by	ADP
ap-656	46	15	a	a	DET
ap-656	46	16	change	change	NOUN
ap-656	46	17	of	of	ADP
ap-656	46	18	temperature	temperature	NOUN
ap-656	46	19	,	,	PUNCT
ap-656	46	20	swelling	swelling	NOUN
ap-656	46	21	,	,	PUNCT
ap-656	46	22	watering	watering	NOUN
ap-656	46	23	,	,	PUNCT
ap-656	46	24	prestressing	prestressing	NOUN
ap-656	46	25	,	,	PUNCT
ap-656	46	26	for	for	ADP
ap-656	46	27	example	example	NOUN
ap-656	46	28	.	.	PUNCT
ap-656	47	1	they	they	PRON
ap-656	47	2	are	be	AUX
ap-656	47	3	not	not	PART
ap-656	47	4	unknowns	unknown	NOUN
ap-656	47	5	,	,	PUNCT
ap-656	47	6	but	but	CCONJ
ap-656	47	7	are	be	AUX
ap-656	47	8	given	give	VERB
ap-656	47	9	in	in	ADP
ap-656	47	10	advance	advance	NOUN
ap-656	47	11	.	.	PUNCT
ap-656	48	1	then	then	ADV
ap-656	48	2	the	the	DET
ap-656	48	3	following	follow	VERB
ap-656	48	4	procedures	procedure	NOUN
ap-656	48	5	are	be	AUX
ap-656	48	6	not	not	PART
ap-656	48	7	of	of	ADP
ap-656	48	8	interest	interest	NOUN
ap-656	48	9	to	to	ADP
ap-656	48	10	us	we	PRON
ap-656	48	11	,	,	PUNCT
ap-656	48	12	as	as	SCONJ
ap-656	48	13	the	the	DET
ap-656	48	14	expressions	expression	NOUN
ap-656	48	15	for	for	ADP
ap-656	48	16	internal	internal	ADJ
ap-656	48	17	states	state	NOUN
ap-656	48	18	in	in	ADP
ap-656	48	19	the	the	DET
ap-656	48	20	composite	composite	ADJ
ap-656	48	21	body	body	NOUN
ap-656	48	22	can	can	AUX
ap-656	48	23	be	be	AUX
ap-656	48	24	calculated	calculate	VERB
ap-656	48	25	in	in	ADP
ap-656	48	26	a	a	DET
ap-656	48	27	much	much	ADV
ap-656	48	28	simpler	simple	ADJ
ap-656	48	29	way	way	NOUN
ap-656	48	30	.	.	PUNCT
ap-656	49	1	in	in	ADP
ap-656	49	2	pure	pure	ADJ
ap-656	49	3	elasticity	elasticity	NOUN
ap-656	49	4	,	,	PUNCT
ap-656	49	5	concentration	concentration	NOUN
ap-656	49	6	factors	factor	NOUN
ap-656	49	7	a	a	PRON
ap-656	49	8	and	and	CCONJ
ap-656	49	9	b	b	NOUN
ap-656	49	10	are	be	AUX
ap-656	49	11	sought	seek	VERB
ap-656	49	12	,	,	PUNCT
ap-656	49	13	such	such	ADJ
ap-656	49	14	as	as	ADP
ap-656	49	15	:	:	PUNCT
ap-656	49	16	�	�	PROPN
ap-656	49	17	r	r	NOUN
ap-656	49	18	(	(	PUNCT
ap-656	49	19	)	)	PUNCT
ap-656	49	20	(	(	PUNCT
ap-656	49	21	)	)	PUNCT
ap-656	49	22	x	x	SYM
ap-656	49	23	a	a	DET
ap-656	49	24	x	x	SYM
ap-656	49	25	e	e	NOUN
ap-656	49	26	�	�	PROPN
ap-656	49	27	,	,	PUNCT
ap-656	49	28	�	�	PROPN
ap-656	49	29	�	�	PROPN
ap-656	49	30	r	r	PROPN
ap-656	49	31	(	(	PUNCT
ap-656	49	32	)	)	PUNCT
ap-656	49	33	(	(	PUNCT
ap-656	49	34	)	)	PUNCT
ap-656	49	35	x	x	SYM
ap-656	49	36	b	b	X
ap-656	49	37	x	x	X
ap-656	49	38	�	�	PROPN
ap-656	49	39	.	.	PUNCT
ap-656	50	1	(	(	PUNCT
ap-656	50	2	3	3	X
ap-656	50	3	)	)	PUNCT
ap-656	50	4	it	it	PRON
ap-656	50	5	is	be	AUX
ap-656	50	6	immediately	immediately	ADV
ap-656	50	7	clear	clear	ADJ
ap-656	50	8	that	that	SCONJ
ap-656	50	9	the	the	DET
ap-656	50	10	relationship	relationship	NOUN
ap-656	50	11	between	between	ADP
ap-656	50	12	the	the	DET
ap-656	50	13	two	two	NUM
ap-656	50	14	concentration	concentration	NOUN
ap-656	50	15	factors	factor	NOUN
ap-656	50	16	follows	follow	VERB
ap-656	50	17	from	from	ADP
ap-656	50	18	(	(	PUNCT
ap-656	50	19	1	1	NUM
ap-656	50	20	)	)	PUNCT
ap-656	50	21	,	,	PUNCT
ap-656	50	22	(	(	PUNCT
ap-656	50	23	2	2	X
ap-656	50	24	)	)	PUNCT
ap-656	50	25	and	and	CCONJ
ap-656	50	26	(	(	PUNCT
ap-656	50	27	3	3	X
ap-656	50	28	)	)	PUNCT
ap-656	50	29	as	as	ADP
ap-656	50	30	:	:	PUNCT
ap-656	50	31	l	l	NOUN
ap-656	50	32	a	a	DET
ap-656	50	33	x	x	X
ap-656	50	34	b	b	X
ap-656	50	35	x	x	SYM
ap-656	50	36	lr	lr	X
ap-656	50	37	r	r	NOUN
ap-656	50	38	r	r	NOUN
ap-656	50	39	(	(	PUNCT
ap-656	50	40	)	)	PUNCT
ap-656	50	41	(	(	PUNCT
ap-656	50	42	)	)	PUNCT
ap-656	50	43	�	�	PROPN
ap-656	50	44	.	.	PUNCT
ap-656	51	1	(	(	PUNCT
ap-656	51	2	4	4	X
ap-656	51	3	)	)	PUNCT
ap-656	51	4	note	note	VERB
ap-656	51	5	that	that	SCONJ
ap-656	51	6	according	accord	VERB
ap-656	51	7	to	to	ADP
ap-656	51	8	dvorak	dvorak	NOUN
ap-656	51	9	and	and	CCONJ
ap-656	51	10	benveniste	benveniste	NOUN
ap-656	51	11	,	,	PUNCT
ap-656	51	12	(	(	PUNCT
ap-656	51	13	1992	1992	NUM
ap-656	51	14	)	)	PUNCT
ap-656	51	15	,	,	PUNCT
ap-656	51	16	it	it	PRON
ap-656	51	17	holds	hold	VERB
ap-656	51	18	:	:	PUNCT
ap-656	51	19	l	l	X
ap-656	51	20	l	l	NOUN
ap-656	51	21	a	a	X
ap-656	51	22	�	�	PROPN
ap-656	51	23	�	�	NOUN
ap-656	51	24	cr	cr	NOUN
ap-656	51	25	r	r	NOUN
ap-656	51	26	r	r	NOUN
ap-656	51	27	r	r	NOUN
ap-656	51	28	.	.	PUNCT
ap-656	52	1	(	(	PUNCT
ap-656	52	2	5	5	NUM
ap-656	52	3	)	)	PUNCT
ap-656	52	4	in	in	ADP
ap-656	52	5	this	this	DET
ap-656	52	6	way	way	NOUN
ap-656	52	7	the	the	DET
ap-656	52	8	overall	overall	ADJ
ap-656	52	9	stiffness	stiffness	NOUN
ap-656	52	10	can	can	AUX
ap-656	52	11	be	be	AUX
ap-656	52	12	calculated	calculate	VERB
ap-656	52	13	,	,	PUNCT
ap-656	52	14	knowing	know	VERB
ap-656	52	15	the	the	DET
ap-656	52	16	stiffnesses	stiffness	NOUN
ap-656	52	17	and	and	CCONJ
ap-656	52	18	strain	strain	VERB
ap-656	52	19	concentration	concentration	NOUN
ap-656	52	20	factors	factor	NOUN
ap-656	52	21	and	and	CCONJ
ap-656	52	22	volume	volume	NOUN
ap-656	52	23	fractions	fraction	NOUN
ap-656	52	24	of	of	ADP
ap-656	52	25	both	both	DET
ap-656	52	26	phases	phase	NOUN
ap-656	52	27	:	:	PUNCT
ap-656	52	28	c	c	NOUN
ap-656	52	29	v	v	ADP
ap-656	52	30	vr	vr	PROPN
ap-656	52	31	z	z	PROPN
ap-656	52	32	�	�	PROPN
ap-656	52	33	.	.	PUNCT
ap-656	53	1	similarly	similarly	ADV
ap-656	53	2	,	,	PUNCT
ap-656	53	3	the	the	DET
ap-656	53	4	eigenparameters	eigenparameter	NOUN
ap-656	53	5	can	can	AUX
ap-656	53	6	be	be	AUX
ap-656	53	7	determined	determine	VERB
ap-656	53	8	from	from	ADP
ap-656	53	9	the	the	DET
ap-656	53	10	stress	stress	NOUN
ap-656	53	11	and	and	CCONJ
ap-656	53	12	strain	strain	VERB
ap-656	53	13	concentration	concentration	NOUN
ap-656	53	14	factors	factor	NOUN
ap-656	53	15	and	and	CCONJ
ap-656	53	16	volume	volume	NOUN
ap-656	53	17	fractions	fraction	NOUN
ap-656	53	18	as	as	ADP
ap-656	53	19	:	:	PUNCT
ap-656	53	20	�	�	PROPN
ap-656	53	21	�	�	PROPN
ap-656	53	22	�	�	PROPN
ap-656	53	23	�	�	PROPN
ap-656	53	24	cr	cr	PROPN
ap-656	53	25	r	r	NOUN
ap-656	53	26	t	t	NOUN
ap-656	53	27	r	r	NOUN
ap-656	53	28	r	r	NOUN
ap-656	53	29	b	b	PROPN
ap-656	53	30	.	.	PUNCT
ap-656	54	1	(	(	PUNCT
ap-656	54	2	6	6	X
ap-656	54	3	)	)	PUNCT
ap-656	54	4	note	note	NOUN
ap-656	54	5	that	that	SCONJ
ap-656	54	6	the	the	DET
ap-656	54	7	lippman	lippman	NOUN
ap-656	54	8	-	-	PUNCT
ap-656	54	9	schwinger	schwinger	NOUN
ap-656	54	10	equation	equation	NOUN
ap-656	54	11	is	be	AUX
ap-656	54	12	used	use	VERB
ap-656	54	13	in	in	ADP
ap-656	54	14	this	this	DET
ap-656	54	15	text	text	NOUN
ap-656	54	16	and	and	CCONJ
ap-656	54	17	will	will	AUX
ap-656	54	18	be	be	AUX
ap-656	54	19	derived	derive	VERB
ap-656	54	20	in	in	ADP
ap-656	54	21	a	a	DET
ap-656	54	22	slightly	slightly	ADV
ap-656	54	23	different	different	ADJ
ap-656	54	24	way	way	NOUN
ap-656	54	25	than	than	ADP
ap-656	54	26	usual	usual	ADJ
ap-656	54	27	.	.	PUNCT
ap-656	55	1	the	the	DET
ap-656	55	2	lippman	lippman	NOUN
ap-656	55	3	-	-	PUNCT
ap-656	55	4	schwinger	schwinger	NOUN
ap-656	55	5	equation	equation	NOUN
ap-656	55	6	relates	relate	VERB
ap-656	55	7	strains	strain	NOUN
ap-656	55	8	,	,	PUNCT
ap-656	55	9	strains	strain	NOUN
ap-656	55	10	of	of	ADP
ap-656	55	11	a	a	DET
ap-656	55	12	comparative	comparative	ADJ
ap-656	55	13	medium	medium	NOUN
ap-656	55	14	and	and	CCONJ
ap-656	55	15	the	the	DET
ap-656	55	16	eigenstrain	eigenstrain	NOUN
ap-656	55	17	(	(	PUNCT
ap-656	55	18	eigentress	eigentress	ADJ
ap-656	55	19	)	)	PUNCT
ap-656	55	20	field	field	NOUN
ap-656	55	21	.	.	PUNCT
ap-656	56	1	some	some	DET
ap-656	56	2	particular	particular	ADJ
ap-656	56	3	implementations	implementation	NOUN
ap-656	56	4	of	of	ADP
ap-656	56	5	this	this	DET
ap-656	56	6	equation	equation	NOUN
ap-656	56	7	enable	enable	VERB
ap-656	56	8	us	we	PRON
ap-656	56	9	to	to	PART
ap-656	56	10	derive	derive	VERB
ap-656	56	11	very	very	ADV
ap-656	56	12	important	important	ADJ
ap-656	56	13	results	result	NOUN
ap-656	56	14	,	,	PUNCT
ap-656	56	15	using	use	VERB
ap-656	56	16	the	the	DET
ap-656	56	17	theory	theory	NOUN
ap-656	56	18	of	of	ADP
ap-656	56	19	generalized	generalized	ADJ
ap-656	56	20	functions	function	NOUN
ap-656	56	21	(	(	PUNCT
ap-656	56	22	distributions	distribution	NOUN
ap-656	56	23	)	)	PUNCT
ap-656	56	24	.	.	PUNCT
ap-656	57	1	the	the	DET
ap-656	57	2	lippman	lippman	PROPN
ap-656	57	3	-	-	PUNCT
ap-656	57	4	schwinger	schwinger	NOUN
ap-656	57	5	equation	equation	NOUN
ap-656	57	6	has	have	VERB
ap-656	57	7	the	the	DET
ap-656	57	8	form	form	NOUN
ap-656	57	9	:	:	PUNCT
ap-656	57	10	�	�	PROPN
ap-656	57	11	�	�	PROPN
ap-656	57	12	�	�	PROPN
ap-656	57	13	�	�	PROPN
ap-656	57	14	�	�	PROPN
ap-656	57	15	�	�	PROPN
ap-656	57	16	�	�	PROPN
ap-656	57	17	�	�	PROPN
ap-656	57	18	�	�	PROPN
ap-656	57	19	�	�	PROPN
ap-656	57	20	(	(	PUNCT
ap-656	57	21	)	)	PUNCT
ap-656	57	22	(	(	PUNCT
ap-656	57	23	)	)	PUNCT
ap-656	57	24	)	)	PUNCT
ap-656	57	25	(	(	PUNCT
ap-656	57	26	(	(	PUNCT
ap-656	57	27	)	)	PUNCT
ap-656	57	28	(	(	PUNCT
ap-656	57	29	)	)	PUNCT
ap-656	57	30	)	)	PUNCT
ap-656	57	31	�	�	PROPN
ap-656	57	32	�	�	PROPN
ap-656	57	33	�	�	PROPN
ap-656	57	34	�	�	PROPN
ap-656	57	35	0	0	NUM
ap-656	57	36	�	�	PROPN
ap-656	57	37	�	�	PROPN
ap-656	57	38	�	�	PROPN
ap-656	57	39	�	�	PROPN
ap-656	57	40	�	�	PROPN
ap-656	57	41	�	�	PROPN
ap-656	57	42	�	�	PROPN
ap-656	57	43	�	�	PROPN
ap-656	57	44	�	�	PROPN
ap-656	57	45	x	x	PUNCT
ap-656	57	46	l	l	PUNCT
ap-656	57	47	x	x	PUNCT
ap-656	58	1	l	l	NOUN
ap-656	58	2	x	x	PUNCT
ap-656	59	1	x	x	X
ap-656	59	2	xd	xd	INTJ
ap-656	59	3	(	(	PUNCT
ap-656	59	4	7	7	NUM
ap-656	59	5	)	)	PUNCT
ap-656	59	6	in	in	ADP
ap-656	59	7	which	which	PRON
ap-656	59	8	�	�	NOUN
ap-656	59	9	0	0	NUM
ap-656	59	10	denotes	denote	VERB
ap-656	59	11	the	the	DET
ap-656	59	12	strain	strain	NOUN
ap-656	59	13	field	field	NOUN
ap-656	59	14	(	(	PUNCT
ap-656	59	15	in	in	ADP
ap-656	59	16	our	our	PRON
ap-656	59	17	case	case	NOUN
ap-656	59	18	considered	consider	VERB
ap-656	59	19	to	to	PART
ap-656	59	20	be	be	AUX
ap-656	59	21	uniform	uniform	ADJ
ap-656	59	22	)	)	PUNCT
ap-656	59	23	that	that	PRON
ap-656	59	24	would	would	AUX
ap-656	59	25	exist	exist	VERB
ap-656	59	26	in	in	ADP
ap-656	59	27	a	a	DET
ap-656	59	28	comparable	comparable	ADJ
ap-656	59	29	homogeneous	homogeneous	ADJ
ap-656	59	30	medium	medium	ADJ
ap-656	59	31	l	l	NOUN
ap-656	59	32	0	0	NUM
ap-656	59	33	under	under	ADP
ap-656	59	34	the	the	DET
ap-656	59	35	same	same	ADJ
ap-656	59	36	boundary	boundary	ADJ
ap-656	59	37	conditions	condition	NOUN
ap-656	59	38	.	.	PUNCT
ap-656	60	1	the	the	DET
ap-656	60	2	kernel	kernel	PROPN
ap-656	60	3	�	�	PROPN
ap-656	60	4	is	be	AUX
ap-656	60	5	defined	define	VERB
ap-656	60	6	by	by	ADP
ap-656	60	7	:	:	PUNCT
ap-656	60	8	�	�	PROPN
ap-656	60	9	�	�	PROPN
ap-656	60	10	�	�	PROPN
ap-656	60	11	ijkl	ijkl	PROPN
ap-656	60	12	ijkl	ijkl	PROPN
ap-656	60	13	jkilg	jkilg	VERB
ap-656	60	14	g	g	PROPN
ap-656	60	15	�	�	PROPN
ap-656	60	16	�	�	PROPN
ap-656	60	17	�	�	PROPN
ap-656	60	18	�	�	PROPN
ap-656	60	19	�	�	PROPN
ap-656	60	20	�	�	PROPN
ap-656	60	21	�	�	PROPN
ap-656	60	22	�	�	PROPN
ap-656	60	23	�	�	PROPN
ap-656	60	24	x	x	PART
ap-656	60	25	x	x	SYM
ap-656	60	26	x	x	SYM
ap-656	60	27	�	�	PROPN
ap-656	60	28	�	�	PROPN
ap-656	60	29	�	�	PROPN
ap-656	60	30	�	�	PROPN
ap-656	60	31	�	�	PROPN
ap-656	60	32	1	1	NUM
ap-656	60	33	2	2	NUM
ap-656	60	34	,	,	PUNCT
ap-656	60	35	(	(	PUNCT
ap-656	60	36	8)	8)	NUM
ap-656	60	37	where	where	SCONJ
ap-656	60	38	gijkl	gijkl	PROPN
ap-656	60	39	is	be	AUX
ap-656	60	40	the	the	DET
ap-656	60	41	green	green	ADJ
ap-656	60	42	function	function	NOUN
ap-656	60	43	of	of	ADP
ap-656	60	44	the	the	DET
ap-656	60	45	homogeneous	homogeneous	ADJ
ap-656	60	46	medium	medium	NOUN
ap-656	60	47	l0	l0	NOUN
ap-656	60	48	obeying	obeying	NOUN
ap-656	60	49	:	:	PUNCT
ap-656	60	50	l	l	PROPN
ap-656	60	51	gijkl	gijkl	PROPN
ap-656	60	52	kplj	kplj	VERB
ap-656	60	53	ip	ip	VERB
ap-656	60	54	0	0	NUM
ap-656	60	55	0	0	NUM
ap-656	60	56	�	�	PROPN
ap-656	60	57	�	�	PROPN
ap-656	60	58	�	�	PROPN
ap-656	60	59	�	�	PROPN
ap-656	60	60	�	�	PROPN
ap-656	60	61	�	�	PROPN
ap-656	60	62	x	x	SYM
ap-656	60	63	x	x	SYM
ap-656	60	64	�	�	PROPN
ap-656	60	65	�	�	PROPN
ap-656	60	66	(	(	PUNCT
ap-656	60	67	)	)	PUNCT
ap-656	60	68	,	,	PUNCT
ap-656	60	69	(	(	PUNCT
ap-656	60	70	9	9	X
ap-656	60	71	)	)	PUNCT
ap-656	60	72	where	where	SCONJ
ap-656	60	73	ip	ip	NOUN
ap-656	60	74	is	be	AUX
ap-656	60	75	the	the	DET
ap-656	60	76	kronecker	kronecker	NOUN
ap-656	60	77	symbol	symbol	NOUN
ap-656	60	78	and	and	CCONJ
ap-656	60	79	(	(	PUNCT
ap-656	60	80	)	)	PUNCT
ap-656	60	81	x	x	X
ap-656	60	82	�	�	PROPN
ap-656	60	83	�	�	PROPN
ap-656	60	84	is	be	AUX
ap-656	60	85	the	the	DET
ap-656	60	86	dirac	dirac	NOUN
ap-656	60	87	continuous	continuous	ADJ
ap-656	60	88	functional	functional	ADJ
ap-656	60	89	.	.	PUNCT
ap-656	61	1	2.2	2.2	NUM
ap-656	61	2	localization	localization	NOUN
ap-656	61	3	and	and	CCONJ
ap-656	61	4	homogenization	homogenization	NOUN
ap-656	61	5	in	in	ADP
ap-656	61	6	this	this	DET
ap-656	61	7	section	section	NOUN
ap-656	61	8	eigenstrain	eigenstrain	NOUN
ap-656	61	9	and	and	CCONJ
ap-656	61	10	eigenstress	eigenstress	NOUN
ap-656	61	11	are	be	AUX
ap-656	61	12	dealt	deal	VERB
ap-656	61	13	with	with	ADP
ap-656	61	14	and	and	CCONJ
ap-656	61	15	involved	involve	VERB
ap-656	61	16	into	into	ADP
ap-656	61	17	the	the	DET
ap-656	61	18	computation	computation	NOUN
ap-656	61	19	.	.	PUNCT
ap-656	62	1	no	no	DET
ap-656	62	2	body	body	NOUN
ap-656	62	3	forces	force	NOUN
ap-656	62	4	are	be	AUX
ap-656	62	5	present	present	ADJ
ap-656	62	6	.	.	PUNCT
ap-656	63	1	let	let	VERB
ap-656	63	2	us	we	PRON
ap-656	63	3	consider	consider	VERB
ap-656	63	4	the	the	DET
ap-656	63	5	coordinate	coordinate	NOUN
ap-656	63	6	system	system	NOUN
ap-656	63	7	0y1y2	0y1y2	VERB
ap-656	63	8	in	in	ADP
ap-656	63	9	2d	2d	NUM
ap-656	63	10	(	(	PUNCT
ap-656	63	11	for	for	ADP
ap-656	63	12	the	the	DET
ap-656	63	13	sake	sake	NOUN
ap-656	63	14	of	of	ADP
ap-656	63	15	simplicity	simplicity	NOUN
ap-656	63	16	our	our	PRON
ap-656	63	17	restriction	restriction	NOUN
ap-656	63	18	is	be	AUX
ap-656	63	19	to	to	ADP
ap-656	63	20	2d	2d	NUM
ap-656	63	21	,	,	PUNCT
ap-656	63	22	while	while	SCONJ
ap-656	63	23	the	the	DET
ap-656	63	24	generalization	generalization	NOUN
ap-656	63	25	to	to	ADP
ap-656	63	26	3d	3d	PROPN
ap-656	63	27	is	be	AUX
ap-656	63	28	straightforward	straightforward	ADJ
ap-656	63	29	)	)	PUNCT
ap-656	63	30	,	,	PUNCT
ap-656	63	31	bounded	bound	VERB
ap-656	63	32	domain	domain	PROPN
ap-656	63	33	�	�	PROPN
ap-656	63	34	(	(	PUNCT
ap-656	63	35	unit	unit	NOUN
ap-656	63	36	cell	cell	NOUN
ap-656	63	37	)	)	PUNCT
ap-656	63	38	with	with	ADP
ap-656	63	39	the	the	DET
ap-656	63	40	boundary	boundary	ADJ
ap-656	63	41	�	�	PROPN
ap-656	63	42	�	�	PROPN
ap-656	63	43	�	�	PROPN
ap-656	63	44	�	�	PROPN
ap-656	63	45	�	�	PROPN
ap-656	63	46	f	f	PROPN
ap-656	63	47	m	m	PROPN
ap-656	63	48	,	,	PUNCT
ap-656	63	49	�	�	PROPN
ap-656	63	50	�	�	PROPN
ap-656	63	51	f	f	PROPN
ap-656	63	52	m	m	PROPN
ap-656	63	53	�	�	PROPN
ap-656	63	54	0	0	NUM
ap-656	63	55	,	,	PUNCT
ap-656	63	56	see	see	VERB
ap-656	63	57	fig	fig	NOUN
ap-656	63	58	.	.	PUNCT
ap-656	64	1	1	1	X
ap-656	64	2	.	.	X
ap-656	65	1	©	©	PROPN
ap-656	65	2	czech	czech	PROPN
ap-656	65	3	technical	technical	PROPN
ap-656	65	4	university	university	PROPN
ap-656	65	5	publishing	publishing	NOUN
ap-656	65	6	house	house	NOUN
ap-656	65	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-656	65	8	195	195	NUM
ap-656	65	9	acta	acta	PROPN
ap-656	65	10	polytechnica	polytechnica	PROPN
ap-656	65	11	vol	vol	NOUN
ap-656	65	12	.	.	PROPN
ap-656	66	1	44	44	NUM
ap-656	66	2	no.5–6/2004	no.5–6/2004	PROPN
ap-656	66	3	fig	fig	NOUN
ap-656	66	4	.	.	PUNCT
ap-656	67	1	1	1	NUM
ap-656	67	2	:	:	PUNCT
ap-656	67	3	the	the	DET
ap-656	67	4	unit	unit	NOUN
ap-656	67	5	cell	cell	NOUN
ap-656	67	6	–	–	PUNCT
ap-656	67	7	geometry	geometry	NOUN
ap-656	67	8	and	and	CCONJ
ap-656	67	9	denotation	denotation	NOUN
ap-656	67	10	we	we	PRON
ap-656	67	11	define	define	VERB
ap-656	67	12	average	average	ADJ
ap-656	67	13	quantities	quantity	NOUN
ap-656	67	14	<	<	X
ap-656	67	15	.	.	PUNCT
ap-656	67	16	>	>	X
ap-656	68	1	by	by	ADP
ap-656	68	2	:	:	PUNCT
ap-656	68	3	�	�	PROPN
ap-656	68	4	�	�	PROPN
ap-656	68	5	�	�	PROPN
ap-656	68	6	�	�	PROPN
ap-656	68	7	a	a	DET
ap-656	68	8	a	a	DET
ap-656	68	9	�	�	PROPN
ap-656	68	10	�	�	PROPN
ap-656	68	11	�	�	PROPN
ap-656	68	12	�	�	PROPN
ap-656	68	13	1	1	NUM
ap-656	68	14	meas	mea	NOUN
ap-656	68	15	d	d	NOUN
ap-656	68	16	(	(	PUNCT
ap-656	68	17	)	)	PUNCT
ap-656	68	18	(	(	PUNCT
ap-656	68	19	)	)	PUNCT
ap-656	68	20	y	y	PROPN
ap-656	68	21	y	y	PROPN
ap-656	68	22	,	,	PUNCT
ap-656	68	23	(	(	PUNCT
ap-656	68	24	10	10	NUM
ap-656	68	25	)	)	PUNCT
ap-656	68	26	where	where	SCONJ
ap-656	68	27	meas	meas	PROPN
ap-656	68	28	�	�	PROPN
ap-656	68	29	stands	stand	VERB
ap-656	68	30	for	for	ADP
ap-656	68	31	the	the	DET
ap-656	68	32	volume	volume	NOUN
ap-656	68	33	(	(	PUNCT
ap-656	68	34	area	area	NOUN
ap-656	68	35	)	)	PUNCT
ap-656	68	36	of	of	ADP
ap-656	68	37	�	�	PROPN
ap-656	68	38	.	.	PUNCT
ap-656	69	1	the	the	DET
ap-656	69	2	homogenization	homogenization	NOUN
ap-656	69	3	can	can	AUX
ap-656	69	4	start	start	VERB
ap-656	69	5	by	by	ADP
ap-656	69	6	introducing	introduce	VERB
ap-656	69	7	the	the	DET
ap-656	69	8	overall	overall	ADJ
ap-656	69	9	(	(	PUNCT
ap-656	69	10	average	average	ADJ
ap-656	69	11	)	)	PUNCT
ap-656	69	12	strain	strain	NOUN
ap-656	69	13	e	e	NOUN
ap-656	69	14	,	,	PUNCT
ap-656	69	15	or	or	CCONJ
ap-656	69	16	stress	stress	NOUN
ap-656	69	17	tensor	tensor	NOUN
ap-656	69	18	�	�	PROPN
ap-656	69	19	,	,	PUNCT
ap-656	69	20	or	or	CCONJ
ap-656	69	21	periodic	periodic	ADJ
ap-656	69	22	conditions	condition	NOUN
ap-656	69	23	can	can	AUX
ap-656	69	24	be	be	AUX
ap-656	69	25	prescribed	prescribe	VERB
ap-656	69	26	.	.	PUNCT
ap-656	70	1	the	the	DET
ap-656	70	2	latter	latter	ADJ
ap-656	70	3	conditions	condition	NOUN
ap-656	70	4	are	be	AUX
ap-656	70	5	the	the	DET
ap-656	70	6	most	most	ADV
ap-656	70	7	useful	useful	ADJ
ap-656	70	8	in	in	ADP
ap-656	70	9	applications	application	NOUN
ap-656	70	10	.	.	PUNCT
ap-656	71	1	there	there	PRON
ap-656	71	2	are	be	VERB
ap-656	71	3	plenty	plenty	NOUN
ap-656	71	4	of	of	ADP
ap-656	71	5	other	other	ADJ
ap-656	71	6	boundary	boundary	ADJ
ap-656	71	7	conditions	condition	NOUN
ap-656	71	8	which	which	PRON
ap-656	71	9	are	be	AUX
ap-656	71	10	less	less	ADV
ap-656	71	11	important	important	ADJ
ap-656	71	12	than	than	ADP
ap-656	71	13	those	those	PRON
ap-656	71	14	we	we	PRON
ap-656	71	15	have	have	AUX
ap-656	71	16	mentioned	mention	VERB
ap-656	71	17	.	.	PUNCT
ap-656	72	1	from	from	ADP
ap-656	72	2	(	(	PUNCT
ap-656	72	3	10	10	NUM
ap-656	72	4	)	)	PUNCT
ap-656	72	5	we	we	PRON
ap-656	72	6	get	get	VERB
ap-656	72	7	,	,	PUNCT
ap-656	72	8	for	for	ADP
ap-656	72	9	example	example	NOUN
ap-656	72	10	:	:	PUNCT
ap-656	72	11	�	�	PROPN
ap-656	72	12	�	�	PROPN
ap-656	72	13	�	�	PROPN
ap-656	72	14	�	�	PROPN
ap-656	72	15	�	�	PROPN
ap-656	72	16	�	�	PROPN
ap-656	72	17	�	�	PROPN
ap-656	72	18	�	�	PROPN
ap-656	72	19	�	�	PROPN
ap-656	72	20	�	�	PROPN
ap-656	72	21	�	�	PROPN
ap-656	72	22	e	e	PROPN
ap-656	72	23	y	y	PROPN
ap-656	72	24	y	y	PROPN
ap-656	72	25	1	1	NUM
ap-656	72	26	meas	mea	NOUN
ap-656	72	27	d	d	PROPN
ap-656	72	28	(	(	PUNCT
ap-656	72	29	)	)	PUNCT
ap-656	72	30	(	(	PUNCT
ap-656	72	31	)	)	PUNCT
ap-656	72	32	(	(	PUNCT
ap-656	72	33	11	11	NUM
ap-656	72	34	)	)	PUNCT
ap-656	72	35	�	�	PROPN
ap-656	72	36	�	�	PROPN
ap-656	72	37	�	�	PROPN
ap-656	72	38	�	�	PROPN
ap-656	72	39	�	�	PROPN
ap-656	72	40	�	�	PROPN
ap-656	72	41	�	�	PROPN
ap-656	72	42	�	�	PROPN
ap-656	72	43	�	�	PROPN
ap-656	72	44	�	�	PROPN
ap-656	72	45	�	�	PROPN
ap-656	72	46	�	�	PROPN
ap-656	72	47	1	1	NUM
ap-656	72	48	meas	mea	NOUN
ap-656	72	49	d	d	NOUN
ap-656	72	50	(	(	PUNCT
ap-656	72	51	)	)	PUNCT
ap-656	72	52	(	(	PUNCT
ap-656	72	53	)	)	PUNCT
ap-656	72	54	y	y	PROPN
ap-656	72	55	y	y	PROPN
ap-656	72	56	.	.	PUNCT
ap-656	73	1	(	(	PUNCT
ap-656	73	2	12	12	NUM
ap-656	73	3	)	)	PUNCT
ap-656	73	4	without	without	ADP
ap-656	73	5	loss	loss	NOUN
ap-656	73	6	of	of	ADP
ap-656	73	7	generality	generality	NOUN
ap-656	73	8	,	,	PUNCT
ap-656	73	9	we	we	PRON
ap-656	73	10	focus	focus	VERB
ap-656	73	11	only	only	ADV
ap-656	73	12	on	on	ADP
ap-656	73	13	given	give	VERB
ap-656	73	14	e.	e.	PROPN
ap-656	73	15	then	then	ADV
ap-656	73	16	we	we	PRON
ap-656	73	17	have	have	VERB
ap-656	73	18	to	to	PART
ap-656	73	19	solve	solve	VERB
ap-656	73	20	the	the	DET
ap-656	73	21	problem	problem	NOUN
ap-656	73	22	:	:	PUNCT
ap-656	73	23	div	div	PROPN
ap-656	73	24	�	�	PROPN
ap-656	73	25	(	(	PUNCT
ap-656	73	26	)	)	PUNCT
ap-656	73	27	y	y	PROPN
ap-656	73	28	�	�	PROPN
ap-656	73	29	0	0	PROPN
ap-656	73	30	in	in	ADP
ap-656	73	31	�	�	PROPN
ap-656	73	32	,	,	PUNCT
ap-656	73	33	u	u	NOUN
ap-656	73	34	y	y	PROPN
ap-656	73	35	e	e	PROPN
ap-656	73	36	y	y	PROPN
ap-656	73	37	(	(	PUNCT
ap-656	73	38	)	)	PUNCT
ap-656	73	39	�	�	PROPN
ap-656	73	40	on	on	ADP
ap-656	73	41	�	�	PROPN
ap-656	73	42	�	�	PROPN
ap-656	73	43	.	.	PUNCT
ap-656	74	1	(	(	PUNCT
ap-656	74	2	13	13	NUM
ap-656	74	3	)	)	PUNCT
ap-656	74	4	the	the	DET
ap-656	74	5	real	real	ADJ
ap-656	74	6	displacement	displacement	NOUN
ap-656	74	7	u	u	NOUN
ap-656	74	8	and	and	CCONJ
ap-656	74	9	the	the	DET
ap-656	74	10	real	real	ADJ
ap-656	74	11	strain	strain	NOUN
ap-656	74	12	�	�	PROPN
ap-656	74	13	may	may	AUX
ap-656	74	14	be	be	AUX
ap-656	74	15	written	write	VERB
ap-656	74	16	in	in	ADP
ap-656	74	17	the	the	DET
ap-656	74	18	form	form	NOUN
ap-656	74	19	of	of	ADP
ap-656	74	20	the	the	DET
ap-656	74	21	sum	sum	NOUN
ap-656	74	22	of	of	ADP
ap-656	74	23	e	e	PROPN
ap-656	74	24	and	and	CCONJ
ap-656	74	25	the	the	DET
ap-656	74	26	fluctuating	fluctuate	VERB
ap-656	74	27	terms	term	NOUN
ap-656	74	28	u	u	NOUN
ap-656	74	29	and	and	CCONJ
ap-656	74	30	�	�	PROPN
ap-656	74	31	as	as	ADP
ap-656	74	32	:	:	PUNCT
ap-656	74	33	u	u	NOUN
ap-656	74	34	y	y	PROPN
ap-656	74	35	e	e	PROPN
ap-656	74	36	y	y	PROPN
ap-656	74	37	u	u	X
ap-656	74	38	y	y	PROPN
ap-656	74	39	(	(	PUNCT
ap-656	74	40	)	)	PUNCT
ap-656	74	41	(	(	PUNCT
ap-656	74	42	)	)	PUNCT
ap-656	74	43	�	�	PROPN
ap-656	74	44	+	+	SYM
ap-656	74	45	,	,	PUNCT
ap-656	74	46	�	�	PROPN
ap-656	74	47	�	�	PROPN
ap-656	74	48	(	(	PUNCT
ap-656	74	49	)	)	PUNCT
ap-656	74	50	(	(	PUNCT
ap-656	74	51	)	)	PUNCT
ap-656	74	52	y	y	PROPN
ap-656	74	53	e	e	PROPN
ap-656	74	54	y	y	PROPN
ap-656	74	55	�	�	PROPN
ap-656	74	56	�	�	PROPN
ap-656	74	57	.	.	PUNCT
ap-656	75	1	(	(	PUNCT
ap-656	75	2	14	14	NUM
ap-656	75	3	)	)	PUNCT
ap-656	75	4	in	in	ADP
ap-656	75	5	the	the	DET
ap-656	75	6	case	case	NOUN
ap-656	75	7	of	of	ADP
ap-656	75	8	elastic	elastic	ADJ
ap-656	75	9	behavior	behavior	NOUN
ap-656	75	10	of	of	ADP
ap-656	75	11	both	both	DET
ap-656	75	12	fiber	fiber	NOUN
ap-656	75	13	and	and	CCONJ
ap-656	75	14	matrix	matrix	NOUN
ap-656	75	15	and	and	CCONJ
ap-656	75	16	the	the	DET
ap-656	75	17	fiber	fiber	NOUN
ap-656	75	18	-	-	PUNCT
ap-656	75	19	matrix	matrix	NOUN
ap-656	75	20	interface	interface	NOUN
ap-656	75	21	,	,	PUNCT
ap-656	75	22	it	it	PRON
ap-656	75	23	holds	hold	VERB
ap-656	75	24	:	:	PUNCT
ap-656	75	25	�	�	PROPN
ap-656	75	26	�	�	PROPN
ap-656	75	27	�	�	PROPN
ap-656	75	28	�	�	PROPN
ap-656	75	29	�	�	PROPN
ap-656	75	30	0	0	NUM
ap-656	76	1	the	the	DET
ap-656	76	2	procedure	procedure	NOUN
ap-656	76	3	for	for	ADP
ap-656	76	4	solving	solving	NOUN
ap-656	76	5	of	of	ADP
ap-656	76	6	�	�	PROPN
ap-656	76	7	is	be	AUX
ap-656	76	8	split	split	VERB
ap-656	76	9	into	into	ADP
ap-656	76	10	two	two	NUM
ap-656	76	11	steps	step	NOUN
ap-656	76	12	:	:	PUNCT
ap-656	76	13	first	first	ADV
ap-656	76	14	,	,	PUNCT
ap-656	76	15	let	let	VERB
ap-656	76	16	u0	u0	ADJ
ap-656	76	17	,	,	PUNCT
ap-656	76	18	�	�	PROPN
ap-656	76	19	0	0	NUM
ap-656	76	20	,	,	PUNCT
ap-656	76	21	and	and	CCONJ
ap-656	76	22	�	�	PROPN
ap-656	76	23	0	0	NUM
ap-656	76	24	be	be	VERB
ap-656	76	25	the	the	DET
ap-656	76	26	known	know	VERB
ap-656	76	27	displacement	displacement	NOUN
ap-656	76	28	,	,	PUNCT
ap-656	76	29	strain	strain	NOUN
ap-656	76	30	,	,	PUNCT
ap-656	76	31	and	and	CCONJ
ap-656	76	32	stress	stress	NOUN
ap-656	76	33	fields	field	NOUN
ap-656	76	34	,	,	PUNCT
ap-656	76	35	respectively	respectively	ADV
ap-656	76	36	,	,	PUNCT
ap-656	76	37	defined	define	VERB
ap-656	76	38	on	on	ADP
ap-656	76	39	a	a	DET
ap-656	76	40	comparative	comparative	ADJ
ap-656	76	41	medium	medium	NOUN
ap-656	76	42	l0	l0	PROPN
ap-656	76	43	.	.	PUNCT
ap-656	77	1	the	the	DET
ap-656	77	2	linear	linear	PROPN
ap-656	77	3	hooke	hooke	PROPN
ap-656	77	4	law	law	PROPN
ap-656	77	5	relates	relate	VERB
ap-656	77	6	the	the	DET
ap-656	77	7	stresses	stress	NOUN
ap-656	77	8	and	and	CCONJ
ap-656	77	9	strains	strain	NOUN
ap-656	77	10	:	:	PUNCT
ap-656	77	11	�	�	PROPN
ap-656	77	12	�	�	PROPN
ap-656	77	13	0	0	NUM
ap-656	77	14	0	0	NUM
ap-656	77	15	0	0	NUM
ap-656	77	16	�	�	NOUN
ap-656	77	17	l	l	NOUN
ap-656	77	18	in	in	ADV
ap-656	77	19	,	,	PUNCT
ap-656	77	20	u	u	NOUN
ap-656	77	21	e	e	PROPN
ap-656	77	22	y0	y0	PROPN
ap-656	77	23	�	�	PROPN
ap-656	77	24	on	on	ADP
ap-656	77	25	�	�	PROPN
ap-656	77	26	.	.	PUNCT
ap-656	78	1	(	(	PUNCT
ap-656	78	2	15	15	NUM
ap-656	78	3	)	)	PUNCT
ap-656	78	4	matrix	matrix	NOUN
ap-656	78	5	l0	l0	NOUN
ap-656	78	6	is	be	AUX
ap-656	78	7	not	not	PART
ap-656	78	8	yet	yet	ADV
ap-656	78	9	fixed	fix	VERB
ap-656	78	10	.	.	PUNCT
ap-656	79	1	an	an	DET
ap-656	79	2	obvious	obvious	ADJ
ap-656	79	3	option	option	NOUN
ap-656	79	4	is	be	AUX
ap-656	79	5	to	to	PART
ap-656	79	6	put	put	VERB
ap-656	79	7	�	�	PROPN
ap-656	79	8	0	0	NUM
ap-656	79	9	�	�	PROPN
ap-656	79	10	e	e	NOUN
ap-656	79	11	and	and	CCONJ
ap-656	79	12	in	in	ADP
ap-656	79	13	the	the	DET
ap-656	79	14	sense	sense	NOUN
ap-656	79	15	of	of	ADP
ap-656	79	16	the	the	DET
ap-656	79	17	above	above	ADJ
ap-656	79	18	definitions	definition	NOUN
ap-656	79	19	l0	l0	PROPN
ap-656	79	20	can	can	AUX
ap-656	79	21	be	be	AUX
ap-656	79	22	expected	expect	VERB
ap-656	79	23	to	to	PART
ap-656	79	24	be	be	AUX
ap-656	79	25	the	the	DET
ap-656	79	26	average	average	NOUN
ap-656	79	27	sought	seek	VERB
ap-656	79	28	stiffness	stiffness	NOUN
ap-656	79	29	.	.	PUNCT
ap-656	80	1	it	it	PRON
ap-656	80	2	will	will	AUX
ap-656	80	3	be	be	AUX
ap-656	80	4	seen	see	VERB
ap-656	80	5	that	that	SCONJ
ap-656	80	6	this	this	DET
ap-656	80	7	assumption	assumption	NOUN
ap-656	80	8	is	be	AUX
ap-656	80	9	not	not	PART
ap-656	80	10	so	so	ADV
ap-656	80	11	easy	easy	ADJ
ap-656	80	12	.	.	PUNCT
ap-656	81	1	in	in	ADP
ap-656	81	2	the	the	DET
ap-656	81	3	second	second	ADJ
ap-656	81	4	step	step	NOUN
ap-656	81	5	,	,	PUNCT
ap-656	81	6	a	a	DET
ap-656	81	7	geometrically	geometrically	ADV
ap-656	81	8	identical	identical	ADJ
ap-656	81	9	body	body	NOUN
ap-656	81	10	is	be	AUX
ap-656	81	11	considered	consider	VERB
ap-656	81	12	,	,	PUNCT
ap-656	81	13	which	which	PRON
ap-656	81	14	is	be	AUX
ap-656	81	15	heterogeneous	heterogeneous	ADJ
ap-656	81	16	,	,	PUNCT
ap-656	81	17	anisotropic	anisotropic	NOUN
ap-656	81	18	,	,	PUNCT
ap-656	81	19	and	and	CCONJ
ap-656	81	20	may	may	AUX
ap-656	81	21	exhibit	exhibit	VERB
ap-656	81	22	nonlinear	nonlinear	ADJ
ap-656	81	23	behavior	behavior	NOUN
ap-656	81	24	.	.	PUNCT
ap-656	82	1	the	the	DET
ap-656	82	2	displacements	displacement	NOUN
ap-656	82	3	u	u	PROPN
ap-656	82	4	,	,	PUNCT
ap-656	82	5	the	the	DET
ap-656	82	6	strains	strain	NOUN
ap-656	82	7	�	�	PROPN
ap-656	82	8	,	,	PUNCT
ap-656	82	9	and	and	CCONJ
ap-656	82	10	the	the	DET
ap-656	82	11	stresses	stress	NOUN
ap-656	82	12	�	�	PROPN
ap-656	82	13	are	be	AUX
ap-656	82	14	unknown	unknown	ADJ
ap-656	82	15	,	,	PUNCT
ap-656	82	16	and	and	CCONJ
ap-656	82	17	the	the	DET
ap-656	82	18	generalized	generalized	ADJ
ap-656	82	19	hooke	hooke	NOUN
ap-656	82	20	law	law	NOUN
ap-656	82	21	including	include	VERB
ap-656	82	22	the	the	DET
ap-656	82	23	eigenstresses	eigenstresse	NOUN
ap-656	82	24	�	�	PROPN
ap-656	82	25	,	,	PUNCT
ap-656	82	26	or	or	CCONJ
ap-656	82	27	eigenstrains	eigenstrains	PROPN
ap-656	82	28	�	�	PROPN
ap-656	82	29	,	,	PUNCT
ap-656	82	30	holds	hold	VERB
ap-656	82	31	valid	valid	ADJ
ap-656	82	32	as	as	ADP
ap-656	82	33	:	:	PUNCT
ap-656	82	34	�	�	PROPN
ap-656	82	35	�	�	PROPN
ap-656	82	36	�	�	PROPN
ap-656	82	37	�	�	PROPN
ap-656	82	38	�	�	PROPN
ap-656	82	39	l	l	PROPN
ap-656	82	40	in	in	ADV
ap-656	82	41	,	,	PUNCT
ap-656	82	42	u	u	PROPN
ap-656	82	43	e	e	PROPN
ap-656	82	44	y	y	PROPN
ap-656	82	45	�	�	PROPN
ap-656	82	46	on	on	ADP
ap-656	82	47	�	�	PROPN
ap-656	82	48	,	,	PUNCT
ap-656	82	49	�	�	PROPN
ap-656	82	50	�	�	PROPN
ap-656	82	51	�	�	PROPN
ap-656	82	52	�	�	PROPN
ap-656	82	53	l	l	NOUN
ap-656	82	54	.	.	PUNCT
ap-656	83	1	(	(	PUNCT
ap-656	83	2	16	16	NUM
ap-656	83	3	)	)	PUNCT
ap-656	83	4	similarly	similarly	ADV
ap-656	83	5	to	to	ADP
ap-656	83	6	[	[	X
ap-656	83	7	19	19	NUM
ap-656	83	8	]	]	X
ap-656	83	9	we	we	PRON
ap-656	83	10	define	define	VERB
ap-656	83	11	the	the	DET
ap-656	83	12	symmetric	symmetric	ADJ
ap-656	83	13	polarization	polarization	NOUN
ap-656	83	14	tensor	tensor	NOUN
ap-656	83	15	by	by	ADP
ap-656	83	16	:	:	PUNCT
ap-656	83	17	�	�	PROPN
ap-656	83	18	�	�	PROPN
ap-656	83	19	�	�	PROPN
ap-656	83	20	�	�	PROPN
ap-656	83	21	l0	l0	PROPN
ap-656	83	22	.	.	PUNCT
ap-656	84	1	(	(	PUNCT
ap-656	84	2	17	17	NUM
ap-656	84	3	)	)	PUNCT
ap-656	84	4	we	we	PRON
ap-656	84	5	also	also	ADV
ap-656	84	6	define	define	VERB
ap-656	84	7	u	u	PROPN
ap-656	84	8	u	u	PROPN
ap-656	84	9	u	u	NOUN
ap-656	84	10	�	�	PROPN
ap-656	84	11	�	�	PROPN
ap-656	84	12	0	0	NUM
ap-656	84	13	in	in	ADP
ap-656	84	14	,	,	PUNCT
ap-656	84	15	u	u	NOUN
ap-656	84	16	�	�	PROPN
ap-656	84	17	0	0	NUM
ap-656	84	18	on	on	ADP
ap-656	84	19	�	�	PROPN
ap-656	84	20	,	,	PUNCT
ap-656	84	21	(	(	PUNCT
ap-656	84	22	18	18	NUM
ap-656	84	23	)	)	PUNCT
ap-656	84	24	�	�	PROPN
ap-656	84	25	�	�	PROPN
ap-656	84	26	�	�	PROPN
ap-656	84	27	�	�	PROPN
ap-656	84	28	�	�	PROPN
ap-656	84	29	0	0	NUM
ap-656	84	30	,	,	PUNCT
ap-656	84	31	�	�	PROPN
ap-656	84	32	�	�	PROPN
ap-656	84	33	�	�	PROPN
ap-656	84	34	�	�	PROPN
ap-656	84	35	�	�	PROPN
ap-656	84	36	0	0	NUM
ap-656	84	37	.	.	PUNCT
ap-656	85	1	(	(	PUNCT
ap-656	85	2	19	19	NUM
ap-656	85	3	)	)	PUNCT
ap-656	85	4	our	our	PRON
ap-656	85	5	aim	aim	NOUN
ap-656	85	6	is	be	AUX
ap-656	85	7	to	to	PART
ap-656	85	8	obtain	obtain	VERB
ap-656	85	9	the	the	DET
ap-656	85	10	relations	relation	NOUN
ap-656	85	11	strain	strain	VERB
ap-656	85	12	,	,	PUNCT
ap-656	85	13	or	or	CCONJ
ap-656	85	14	stresses	stress	NOUN
ap-656	85	15	and	and	CCONJ
ap-656	85	16	eigenstrain	eigenstrain	VERB
ap-656	85	17	,	,	PUNCT
ap-656	85	18	or	or	CCONJ
ap-656	85	19	eigenstresses	eigenstresse	VERB
ap-656	85	20	.	.	PUNCT
ap-656	86	1	since	since	SCONJ
ap-656	86	2	both	both	PRON
ap-656	86	3	�	�	PROPN
ap-656	86	4	and	and	CCONJ
ap-656	86	5	�	�	PROPN
ap-656	86	6	0	0	NUM
ap-656	86	7	are	be	AUX
ap-656	86	8	statically	statically	ADV
ap-656	86	9	admissible	admissible	ADJ
ap-656	86	10	,	,	PUNCT
ap-656	86	11	the	the	DET
ap-656	86	12	following	follow	VERB
ap-656	86	13	equations	equation	NOUN
ap-656	86	14	have	have	VERB
ap-656	86	15	to	to	PART
ap-656	86	16	be	be	AUX
ap-656	86	17	satisfied	satisfied	ADJ
ap-656	86	18	in	in	ADP
ap-656	86	19	the	the	DET
ap-656	86	20	sense	sense	NOUN
ap-656	86	21	of	of	ADP
ap-656	86	22	distributions	distribution	NOUN
ap-656	86	23	:	:	PUNCT
ap-656	86	24	div	div	PROPN
ap-656	86	25	�	�	PROPN
ap-656	86	26	�	�	PROPN
ap-656	86	27	0	0	NUM
ap-656	86	28	in	in	ADP
ap-656	86	29	,	,	PUNCT
ap-656	86	30	(	(	PUNCT
ap-656	86	31	20	20	NUM
ap-656	86	32	)	)	PUNCT
ap-656	86	33	�	�	PROPN
ap-656	86	34	�	�	PROPN
ap-656	86	35	�	�	PROPN
ap-656	86	36	�	�	PROPN
ap-656	86	37	�	�	PROPN
ap-656	86	38	[	[	PUNCT
ap-656	86	39	]	]	X
ap-656	86	40	l	l	NOUN
ap-656	86	41	0	0	PUNCT
ap-656	86	42	in	in	ADP
ap-656	86	43	,	,	PUNCT
ap-656	86	44	(	(	PUNCT
ap-656	86	45	21	21	NUM
ap-656	86	46	)	)	PUNCT
ap-656	86	47	u	u	NOUN
ap-656	86	48	0	0	NUM
ap-656	86	49	�	�	PROPN
ap-656	86	50	on	on	ADP
ap-656	86	51	�	�	PROPN
ap-656	86	52	�	�	PROPN
ap-656	86	53	.	.	PUNCT
ap-656	87	1	(	(	PUNCT
ap-656	87	2	22	22	NUM
ap-656	87	3	)	)	PUNCT
ap-656	87	4	where	where	SCONJ
ap-656	87	5	[	[	PUNCT
ap-656	87	6	]	]	X
ap-656	87	7	(	(	PUNCT
ap-656	87	8	)	)	PUNCT
ap-656	87	9	l	l	NOUN
ap-656	87	10	l	l	X
ap-656	87	11	y	y	PROPN
ap-656	87	12	l	l	X
ap-656	87	13	�	�	PROPN
ap-656	87	14	�	�	PROPN
ap-656	87	15	0	0	NUM
ap-656	87	16	(	(	PUNCT
ap-656	87	17	23	23	NUM
ap-656	87	18	)	)	PUNCT
ap-656	87	19	subtracting	subtract	VERB
ap-656	87	20	(	(	PUNCT
ap-656	87	21	17	17	NUM
ap-656	87	22	)	)	PUNCT
ap-656	87	23	from	from	ADP
ap-656	87	24	(	(	PUNCT
ap-656	87	25	16	16	NUM
ap-656	87	26	)	)	PUNCT
ap-656	87	27	yields	yield	VERB
ap-656	87	28	�	�	PROPN
ap-656	87	29	�	�	PROPN
ap-656	87	30	�	�	PROPN
ap-656	87	31	�	�	PROPN
ap-656	87	32	l0	l0	PROPN
ap-656	87	33	.	.	PUNCT
ap-656	88	1	(	(	PUNCT
ap-656	88	2	24	24	NUM
ap-656	88	3	)	)	PUNCT
ap-656	88	4	3	3	NUM
ap-656	88	5	numerical	numerical	ADJ
ap-656	88	6	derivation	derivation	NOUN
ap-656	88	7	of	of	ADP
ap-656	88	8	quantities	quantity	NOUN
ap-656	88	9	solution	solution	NOUN
ap-656	88	10	of	of	ADP
ap-656	88	11	problems	problem	NOUN
ap-656	88	12	involving	involve	VERB
ap-656	88	13	the	the	DET
ap-656	88	14	linear	linear	ADJ
ap-656	88	15	or	or	CCONJ
ap-656	88	16	nonlinear	nonlinear	ADJ
ap-656	88	17	behavior	behavior	NOUN
ap-656	88	18	of	of	ADP
ap-656	88	19	composite	composite	ADJ
ap-656	88	20	bodies	body	NOUN
ap-656	88	21	is	be	AUX
ap-656	88	22	mostly	mostly	ADV
ap-656	88	23	formulated	formulate	VERB
ap-656	88	24	in	in	ADP
ap-656	88	25	terms	term	NOUN
ap-656	88	26	of	of	ADP
ap-656	88	27	integral	integral	ADJ
ap-656	88	28	equations	equation	NOUN
ap-656	88	29	.	.	PUNCT
ap-656	89	1	consequently	consequently	ADV
ap-656	89	2	,	,	PUNCT
ap-656	89	3	a	a	DET
ap-656	89	4	natural	natural	ADJ
ap-656	89	5	way	way	NOUN
ap-656	89	6	to	to	PART
ap-656	89	7	solve	solve	VERB
ap-656	89	8	these	these	DET
ap-656	89	9	problems	problem	NOUN
ap-656	89	10	is	be	AUX
ap-656	89	11	to	to	PART
ap-656	89	12	describe	describe	VERB
ap-656	89	13	the	the	DET
ap-656	89	14	behavior	behavior	NOUN
ap-656	89	15	of	of	ADP
ap-656	89	16	such	such	ADJ
ap-656	89	17	bodies	body	NOUN
ap-656	89	18	by	by	ADP
ap-656	89	19	the	the	DET
ap-656	89	20	boundary	boundary	ADJ
ap-656	89	21	integral	integral	ADJ
ap-656	89	22	equation	equation	NOUN
ap-656	89	23	method	method	NOUN
ap-656	89	24	.	.	PUNCT
ap-656	90	1	the	the	DET
ap-656	90	2	integral	integral	ADJ
ap-656	90	3	equation	equation	NOUN
ap-656	90	4	equivalent	equivalent	ADJ
ap-656	90	5	to	to	ADP
ap-656	90	6	(	(	PUNCT
ap-656	90	7	21	21	NUM
ap-656	90	8	)	)	PUNCT
ap-656	90	9	to	to	ADP
ap-656	90	10	(	(	PUNCT
ap-656	90	11	24	24	NUM
ap-656	90	12	)	)	PUNCT
ap-656	90	13	can	can	AUX
ap-656	90	14	be	be	AUX
ap-656	90	15	expressed	express	VERB
ap-656	90	16	as	as	ADP
ap-656	90	17	:	:	PUNCT
ap-656	90	18	u	u	NOUN
ap-656	90	19	u	u	NOUN
ap-656	90	20	y	y	PROPN
ap-656	90	21	p	p	X
ap-656	90	22	y	y	PROPN
ap-656	90	23	y	y	PROPN
ap-656	90	24	p	p	PROPN
ap-656	90	25	y	y	PROPN
ap-656	90	26	u	u	X
ap-656	90	27	y	y	PROPN
ap-656	90	28	y	y	PROPN
ap-656	90	29	y	y	PROPN
ap-656	90	30	(	(	PUNCT
ap-656	90	31	)	)	PUNCT
ap-656	90	32	(	(	PUNCT
ap-656	90	33	;	;	NOUN
ap-656	90	34	)	)	PUNCT
ap-656	90	35	(	(	PUNCT
ap-656	90	36	)	)	PUNCT
ap-656	90	37	(	(	PUNCT
ap-656	90	38	;	;	NOUN
ap-656	90	39	)	)	PUNCT
ap-656	90	40	(	(	PUNCT
ap-656	90	41	)	)	PUNCT
ap-656	90	42	(	(	PUNCT
ap-656	90	43	;	;	NOUN
ap-656	90	44	)	)	PUNCT
ap-656	91	1	(	(	PUNCT
ap-656	91	2	�	�	PROPN
ap-656	91	3	�	�	PROPN
ap-656	91	4	�	�	PROPN
ap-656	91	5	�	�	PROPN
ap-656	91	6	�	�	PROPN
ap-656	91	7	�	�	PROPN
ap-656	91	8	�	�	PROPN
ap-656	91	9	�	�	PROPN
ap-656	91	10	�	�	PROPN
ap-656	91	11	�	�	PROPN
ap-656	91	12	*	*	PROPN
ap-656	91	13	*	*	PUNCT
ap-656	92	1	*	*	PUNCT
ap-656	92	2	u	u	NOUN
ap-656	92	3	p	p	PROPN
ap-656	92	4	d	d	PROPN
ap-656	92	5	d	d	PROPN
ap-656	92	6	�	�	PROPN
ap-656	92	7	�	�	PROPN
ap-656	92	8	�	�	PROPN
ap-656	92	9	�	�	PROPN
ap-656	92	10	y	y	PROPN
ap-656	92	11	y	y	PROPN
ap-656	92	12	)	)	PUNCT
ap-656	92	13	,	,	PUNCT
ap-656	92	14	,	,	PUNCT
ap-656	92	15	d	d	PROPN
ap-656	92	16	(	(	PUNCT
ap-656	92	17	)	)	PUNCT
ap-656	92	18	�	�	PROPN
ap-656	92	19	�	�	PROPN
ap-656	92	20	�	�	PROPN
ap-656	92	21	�	�	PROPN
ap-656	92	22	�	�	PROPN
ap-656	92	23	�	�	PROPN
ap-656	92	24	(	(	PUNCT
ap-656	92	25	25	25	NUM
ap-656	92	26	)	)	PUNCT
ap-656	92	27	where	where	SCONJ
ap-656	92	28	the	the	DET
ap-656	92	29	starred	star	VERB
ap-656	92	30	quantities	quantity	NOUN
ap-656	92	31	are	be	AUX
ap-656	92	32	the	the	DET
ap-656	92	33	given	give	VERB
ap-656	92	34	kernels	kernel	NOUN
ap-656	92	35	.	.	PUNCT
ap-656	93	1	due	due	ADP
ap-656	93	2	to	to	ADP
ap-656	93	3	the	the	DET
ap-656	93	4	validity	validity	NOUN
ap-656	93	5	of	of	ADP
ap-656	93	6	the	the	DET
ap-656	93	7	boundary	boundary	ADJ
ap-656	93	8	equation	equation	NOUN
ap-656	93	9	(	(	PUNCT
ap-656	93	10	22	22	NUM
ap-656	93	11	)	)	PUNCT
ap-656	93	12	,	,	PUNCT
ap-656	93	13	�	�	PROPN
ap-656	93	14	�	�	PROPN
ap-656	93	15	�	�	PROPN
ap-656	93	16	�	�	PROPN
ap-656	93	17	�	�	PROPN
ap-656	93	18	p	p	PROPN
ap-656	93	19	and	and	CCONJ
ap-656	93	20	the	the	DET
ap-656	93	21	second	second	ADJ
ap-656	93	22	integral	integral	ADJ
ap-656	93	23	on	on	ADP
ap-656	93	24	the	the	DET
ap-656	93	25	right	right	ADJ
ap-656	93	26	hand	hand	NOUN
ap-656	93	27	side	side	NOUN
ap-656	93	28	of	of	ADP
ap-656	93	29	(	(	PUNCT
ap-656	93	30	25	25	NUM
ap-656	93	31	)	)	PUNCT
ap-656	93	32	disappears	disappear	VERB
ap-656	93	33	.	.	PUNCT
ap-656	94	1	therefore	therefore	ADV
ap-656	94	2	,	,	PUNCT
ap-656	94	3	we	we	PRON
ap-656	94	4	get	get	VERB
ap-656	94	5	:	:	PUNCT
ap-656	94	6	u	u	NOUN
ap-656	94	7	u	u	NOUN
ap-656	94	8	y	y	PROPN
ap-656	94	9	p	p	PROPN
ap-656	94	10	y	y	PROPN
ap-656	94	11	y	y	PROPN
ap-656	94	12	y	y	PROPN
ap-656	94	13	y	y	PROPN
ap-656	94	14	y	y	PROPN
ap-656	94	15	(	(	PUNCT
ap-656	94	16	)	)	PUNCT
ap-656	94	17	(	(	PUNCT
ap-656	94	18	;	;	NOUN
ap-656	94	19	)	)	PUNCT
ap-656	94	20	(	(	PUNCT
ap-656	94	21	)	)	PUNCT
ap-656	94	22	(	(	PUNCT
ap-656	94	23	;	;	NOUN
ap-656	94	24	)	)	PUNCT
ap-656	94	25	(	(	PUNCT
ap-656	94	26	)	)	PUNCT
ap-656	94	27	�	�	PROPN
ap-656	94	28	�	�	PROPN
ap-656	94	29	�	�	PROPN
ap-656	94	30	�	�	PROPN
ap-656	94	31	�	�	PROPN
ap-656	94	32	�	�	PROPN
ap-656	94	33	�	�	PROPN
ap-656	94	34	�	�	PROPN
ap-656	94	35	*	*	PROPN
ap-656	94	36	*	*	PUNCT
ap-656	94	37	u	u	PROPN
ap-656	94	38	d	d	X
ap-656	94	39	d	d	PROPN
ap-656	94	40	(	(	PUNCT
ap-656	94	41	)	)	PUNCT
ap-656	94	42	�	�	PROPN
ap-656	94	43	�	�	PROPN
ap-656	94	44	�	�	PROPN
ap-656	94	45	�	�	PROPN
ap-656	94	46	.	.	PUNCT
ap-656	95	1	(	(	PUNCT
ap-656	95	2	26	26	NUM
ap-656	95	3	)	)	PUNCT
ap-656	95	4	differentiating	differentiate	VERB
ap-656	95	5	the	the	DET
ap-656	95	6	latter	latter	ADJ
ap-656	95	7	equation	equation	NOUN
ap-656	95	8	successively	successively	ADV
ap-656	95	9	by	by	ADP
ap-656	95	10	one	one	NUM
ap-656	95	11	of	of	ADP
ap-656	95	12	the	the	DET
ap-656	95	13	coordinate	coordinate	NOUN
ap-656	95	14	�	�	PROPN
ap-656	95	15	,	,	PUNCT
ap-656	95	16	we	we	PRON
ap-656	95	17	arrive	arrive	VERB
ap-656	95	18	at	at	ADP
ap-656	95	19	the	the	DET
ap-656	95	20	expression	expression	NOUN
ap-656	95	21	�	�	PROPN
ap-656	95	22	�	�	PROPN
ap-656	95	23	�	�	PROPN
ap-656	95	24	�	�	PROPN
ap-656	95	25	�	�	PROPN
ap-656	95	26	�	�	PROPN
ap-656	95	27	(	(	PUNCT
ap-656	95	28	)	)	PUNCT
ap-656	95	29	(	(	PUNCT
ap-656	95	30	;	;	NOUN
ap-656	95	31	)	)	PUNCT
ap-656	95	32	(	(	PUNCT
ap-656	95	33	)	)	PUNCT
ap-656	95	34	(	(	PUNCT
ap-656	95	35	;	;	NOUN
ap-656	95	36	)	)	PUNCT
ap-656	95	37	(	(	PUNCT
ap-656	95	38	)	)	PUNCT
ap-656	95	39	(	(	PUNCT
ap-656	95	40	)	)	PUNCT
ap-656	95	41	�	�	PROPN
ap-656	95	42	�	�	PROPN
ap-656	95	43	�	�	PROPN
ap-656	95	44	�	�	PROPN
ap-656	95	45	�	�	PROPN
ap-656	95	46	h	h	NOUN
ap-656	96	1	y	y	PROPN
ap-656	96	2	p	p	PROPN
ap-656	96	3	y	y	PROPN
ap-656	96	4	y	y	PROPN
ap-656	96	5	y	y	PROPN
ap-656	96	6	y	y	PROPN
ap-656	96	7	y	y	PROPN
ap-656	96	8	*	*	PUNCT
ap-656	96	9	*	*	PUNCT
ap-656	96	10	u	u	NOUN
ap-656	96	11	p	p	PROPN
ap-656	96	12	d	d	X
ap-656	96	13	d	d	PROPN
ap-656	96	14	(	(	PUNCT
ap-656	96	15	)	)	PUNCT
ap-656	96	16	�	�	PROPN
ap-656	96	17	�	�	PROPN
ap-656	96	18	�	�	PROPN
ap-656	96	19	.	.	PUNCT
ap-656	97	1	(	(	PUNCT
ap-656	97	2	27	27	NUM
ap-656	97	3	)	)	PUNCT
ap-656	97	4	the	the	DET
ap-656	97	5	convected	convect	VERB
ap-656	97	6	term	term	NOUN
ap-656	97	7	�	�	PROPN
ap-656	97	8	arises	arise	VERB
ap-656	97	9	at	at	ADP
ap-656	97	10	the	the	DET
ap-656	97	11	internal	internal	ADJ
ap-656	97	12	point	point	NOUN
ap-656	97	13	of	of	ADP
ap-656	97	14	�	�	PROPN
ap-656	97	15	by	by	ADP
ap-656	97	16	the	the	DET
ap-656	97	17	interchange	interchange	NOUN
ap-656	97	18	of	of	ADP
ap-656	97	19	integration	integration	NOUN
ap-656	97	20	and	and	CCONJ
ap-656	97	21	differentiation	differentiation	NOUN
ap-656	97	22	when	when	SCONJ
ap-656	97	23	deriving	derive	VERB
ap-656	97	24	(	(	PUNCT
ap-656	97	25	27	27	NUM
ap-656	97	26	)	)	PUNCT
ap-656	97	27	from	from	ADP
ap-656	97	28	(	(	PUNCT
ap-656	97	29	26	26	NUM
ap-656	97	30	)	)	PUNCT
ap-656	97	31	.	.	PUNCT
ap-656	98	1	note	note	VERB
ap-656	98	2	that	that	SCONJ
ap-656	98	3	this	this	DET
ap-656	98	4	unpleasant	unpleasant	ADJ
ap-656	98	5	term	term	NOUN
ap-656	98	6	may	may	AUX
ap-656	98	7	be	be	AUX
ap-656	98	8	avoided	avoid	VERB
ap-656	98	9	by	by	ADP
ap-656	98	10	introducing	introduce	VERB
ap-656	98	11	eshelby	eshelby	PROPN
ap-656	98	12	’s	’s	PART
ap-656	98	13	trick	trick	NOUN
ap-656	98	14	,	,	PUNCT
ap-656	98	15	which	which	PRON
ap-656	98	16	is	be	AUX
ap-656	98	17	very	very	ADV
ap-656	98	18	famous	famous	ADJ
ap-656	98	19	in	in	ADP
ap-656	98	20	the	the	DET
ap-656	98	21	theory	theory	NOUN
ap-656	98	22	of	of	ADP
ap-656	98	23	composite	composite	ADJ
ap-656	98	24	materials	material	NOUN
ap-656	98	25	.	.	PUNCT
ap-656	99	1	levin	levin	PROPN
ap-656	99	2	in	in	ADP
ap-656	99	3	his	his	PRON
ap-656	99	4	work	work	NOUN
ap-656	99	5	on	on	ADP
ap-656	99	6	termal	termal	PROPN
ap-656	99	7	bounds	bound	NOUN
ap-656	99	8	uses	use	VERB
ap-656	99	9	a	a	DET
ap-656	99	10	similar	similar	ADJ
ap-656	99	11	trick	trick	NOUN
ap-656	99	12	leading	lead	VERB
ap-656	99	13	to	to	ADP
ap-656	99	14	omitting	omit	VERB
ap-656	99	15	the	the	DET
ap-656	99	16	convected	convected	ADJ
ap-656	99	17	term	term	NOUN
ap-656	99	18	.	.	PUNCT
ap-656	100	1	4	4	NUM
ap-656	100	2	numerical	numerical	ADJ
ap-656	100	3	interpretation	interpretation	NOUN
ap-656	100	4	of	of	ADP
ap-656	100	5	tfa	tfa	PROPN
ap-656	100	6	now	now	ADV
ap-656	100	7	,	,	PUNCT
ap-656	100	8	our	our	PRON
ap-656	100	9	goal	goal	NOUN
ap-656	100	10	is	be	AUX
ap-656	100	11	to	to	PART
ap-656	100	12	derive	derive	VERB
ap-656	100	13	the	the	DET
ap-656	100	14	strain	strain	NOUN
ap-656	100	15	–	–	PUNCT
ap-656	100	16	eigenstress	eigenstress	NOUN
ap-656	100	17	relation	relation	NOUN
ap-656	100	18	of	of	ADP
ap-656	100	19	the	the	DET
ap-656	100	20	form	form	NOUN
ap-656	100	21	�	�	PROPN
ap-656	100	22	�	�	PROPN
ap-656	100	23	�	�	PROPN
ap-656	100	24	�	�	PROPN
ap-656	100	25	a	a	DET
ap-656	100	26	e	e	NOUN
ap-656	100	27	g	g	NOUN
ap-656	100	28	,	,	PUNCT
ap-656	100	29	(	(	PUNCT
ap-656	100	30	28	28	NUM
ap-656	100	31	)	)	PUNCT
ap-656	100	32	where	where	SCONJ
ap-656	100	33	a	a	PRON
ap-656	100	34	and	and	CCONJ
ap-656	100	35	g	g	NOUN
ap-656	100	36	are	be	AUX
ap-656	100	37	the	the	DET
ap-656	100	38	influence	influence	NOUN
ap-656	100	39	function	function	NOUN
ap-656	100	40	tensors	tensor	NOUN
ap-656	100	41	(	(	PUNCT
ap-656	100	42	a	a	PRON
ap-656	100	43	is	be	AUX
ap-656	100	44	mostly	mostly	ADV
ap-656	100	45	referred	refer	VERB
ap-656	100	46	to	to	ADP
ap-656	100	47	as	as	ADP
ap-656	100	48	the	the	DET
ap-656	100	49	mechanical	mechanical	ADJ
ap-656	100	50	concentration	concentration	NOUN
ap-656	100	51	function	function	NOUN
ap-656	100	52	tensor	tensor	NOUN
ap-656	100	53	)	)	PUNCT
ap-656	100	54	.	.	PUNCT
ap-656	101	1	note	note	VERB
ap-656	101	2	that	that	SCONJ
ap-656	101	3	once	once	ADV
ap-656	101	4	computed	compute	VERB
ap-656	101	5	,	,	PUNCT
ap-656	101	6	these	these	DET
ap-656	101	7	matrices	matrix	NOUN
ap-656	101	8	do	do	AUX
ap-656	101	9	not	not	PART
ap-656	101	10	change	change	VERB
ap-656	101	11	their	their	PRON
ap-656	101	12	value	value	NOUN
ap-656	101	13	during	during	ADP
ap-656	101	14	the	the	DET
ap-656	101	15	incremental	incremental	ADJ
ap-656	101	16	process	process	NOUN
ap-656	101	17	for	for	ADP
ap-656	101	18	nonlinear	nonlinear	ADJ
ap-656	101	19	solution	solution	NOUN
ap-656	101	20	of	of	ADP
ap-656	101	21	plasticity	plasticity	NOUN
ap-656	101	22	and	and	CCONJ
ap-656	101	23	damage	damage	NOUN
ap-656	101	24	.	.	PUNCT
ap-656	102	1	after	after	ADP
ap-656	102	2	discretization	discretization	NOUN
ap-656	102	3	of	of	ADP
ap-656	102	4	the	the	DET
ap-656	102	5	boundary	boundary	NOUN
ap-656	102	6	and	and	CCONJ
ap-656	102	7	the	the	DET
ap-656	102	8	domain	domain	NOUN
ap-656	102	9	�	�	PROPN
ap-656	102	10	into	into	ADP
ap-656	102	11	m	m	PROPN
ap-656	102	12	internal	internal	ADJ
ap-656	102	13	cells	cell	NOUN
ap-656	102	14	,	,	PUNCT
ap-656	102	15	we	we	PRON
ap-656	102	16	get	get	VERB
ap-656	102	17	the	the	DET
ap-656	102	18	discretized	discretized	ADJ
ap-656	102	19	form	form	NOUN
ap-656	102	20	of	of	ADP
ap-656	102	21	the	the	DET
ap-656	102	22	integral	integral	ADJ
ap-656	102	23	equations	equation	NOUN
ap-656	102	24	:	:	PUNCT
ap-656	102	25	u	u	NOUN
ap-656	102	26	p	p	X
ap-656	102	27	s	s	PROPN
ap-656	102	28	s	s	NOUN
ap-656	102	29	0	0	NUM
ap-656	102	30	�	�	PROPN
ap-656	102	31	�	�	PROPN
ap-656	102	32	�	�	PROPN
ap-656	102	33	�	�	PROPN
ap-656	102	34	�	�	PROPN
ap-656	102	35	,	,	PUNCT
ap-656	102	36	(	(	PUNCT
ap-656	102	37	29	29	NUM
ap-656	102	38	)	)	PUNCT
ap-656	102	39	�	�	PROPN
ap-656	102	40	�	�	PROPN
ap-656	102	41	�	�	PROPN
ap-656	102	42	�	�	PROPN
ap-656	102	43	�	�	PROPN
ap-656	102	44	�	�	PROPN
ap-656	102	45	�	�	PROPN
ap-656	102	46	�	�	PROPN
ap-656	102	47	h	h	PROPN
ap-656	102	48	p	p	X
ap-656	102	49	,	,	PUNCT
ap-656	102	50	(	(	PUNCT
ap-656	102	51	30	30	NUM
ap-656	102	52	)	)	PUNCT
ap-656	102	53	196	196	NUM
ap-656	102	54	©	©	PROPN
ap-656	102	55	czech	czech	PROPN
ap-656	102	56	technical	technical	PROPN
ap-656	102	57	university	university	PROPN
ap-656	102	58	publishing	publishing	NOUN
ap-656	102	59	house	house	NOUN
ap-656	102	60	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-656	102	61	acta	acta	PROPN
ap-656	102	62	polytechnica	polytechnica	PROPN
ap-656	102	63	vol	vol	NOUN
ap-656	102	64	.	.	PROPN
ap-656	103	1	44	44	NUM
ap-656	103	2	no.5–6/2004	no.5–6/2004	NOUN
ap-656	103	3	where	where	SCONJ
ap-656	103	4	u	u	NOUN
ap-656	103	5	is	be	AUX
ap-656	103	6	a	a	DET
ap-656	103	7	square	square	ADJ
ap-656	103	8	matrix	matrix	NOUN
ap-656	103	9	(	(	PUNCT
ap-656	103	10	2n×2n	2n×2n	NOUN
ap-656	103	11	)	)	PUNCT
ap-656	103	12	and	and	CCONJ
ap-656	103	13	2n	2n	NUM
ap-656	103	14	is	be	AUX
ap-656	103	15	a	a	DET
ap-656	103	16	number	number	NOUN
ap-656	103	17	of	of	ADP
ap-656	103	18	degrees	degree	NOUN
ap-656	103	19	of	of	ADP
ap-656	103	20	freedom	freedom	NOUN
ap-656	103	21	on	on	ADP
ap-656	103	22	the	the	DET
ap-656	103	23	boundary	boundary	NOUN
ap-656	103	24	in	in	ADP
ap-656	103	25	2d	2d	NUM
ap-656	103	26	(	(	PUNCT
ap-656	103	27	when	when	SCONJ
ap-656	103	28	using	use	VERB
ap-656	103	29	,	,	PUNCT
ap-656	103	30	e.g.	e.g.	ADV
ap-656	103	31	,	,	PUNCT
ap-656	103	32	a	a	DET
ap-656	103	33	linear	linear	ADJ
ap-656	103	34	approximation	approximation	NOUN
ap-656	103	35	of	of	ADP
ap-656	103	36	both	both	DET
ap-656	103	37	tractions	traction	NOUN
ap-656	103	38	and	and	CCONJ
ap-656	103	39	displacements	displacement	NOUN
ap-656	103	40	,	,	PUNCT
ap-656	103	41	n	n	PRON
ap-656	103	42	is	be	AUX
ap-656	103	43	the	the	DET
ap-656	103	44	number	number	NOUN
ap-656	103	45	of	of	ADP
ap-656	103	46	nodal	nodal	ADJ
ap-656	103	47	points	point	NOUN
ap-656	103	48	)	)	PUNCT
ap-656	103	49	,	,	PUNCT
ap-656	103	50	p	p	PROPN
ap-656	103	51	is	be	AUX
ap-656	103	52	the	the	DET
ap-656	103	53	vector	vector	NOUN
ap-656	103	54	(	(	PUNCT
ap-656	103	55	2n	2n	NUM
ap-656	103	56	)	)	PUNCT
ap-656	103	57	of	of	ADP
ap-656	103	58	discretized	discretize	VERB
ap-656	103	59	unknowns	unknown	NOUN
ap-656	103	60	tractions	traction	NOUN
ap-656	103	61	at	at	ADP
ap-656	103	62	the	the	DET
ap-656	103	63	nodal	nodal	ADJ
ap-656	103	64	points	point	NOUN
ap-656	103	65	on	on	ADP
ap-656	103	66	�	�	PROPN
ap-656	103	67	�	�	PROPN
ap-656	103	68	,	,	PUNCT
ap-656	103	69	s	s	X
ap-656	103	70	,	,	PUNCT
ap-656	103	71	s	s	VERB
ap-656	103	72	are	be	AUX
ap-656	103	73	the	the	DET
ap-656	103	74	matrices	matrix	NOUN
ap-656	103	75	(	(	PUNCT
ap-656	103	76	2n×3	2n×3	NUM
ap-656	103	77	m	m	NOUN
ap-656	103	78	)	)	PUNCT
ap-656	103	79	of	of	ADP
ap-656	103	80	influences	influence	NOUN
ap-656	103	81	of	of	ADP
ap-656	103	82	the	the	DET
ap-656	103	83	strains	strain	NOUN
ap-656	103	84	and	and	CCONJ
ap-656	103	85	eigenstrains	eigenstrain	NOUN
ap-656	103	86	in	in	ADP
ap-656	103	87	the	the	DET
ap-656	103	88	discretized	discretized	ADJ
ap-656	103	89	domain	domain	NOUN
ap-656	103	90	(	(	PUNCT
ap-656	103	91	in	in	ADP
ap-656	103	92	2d	2d	NUM
ap-656	103	93	three	three	NUM
ap-656	103	94	components	component	NOUN
ap-656	103	95	of	of	ADP
ap-656	103	96	the	the	DET
ap-656	103	97	strain	strain	NOUN
ap-656	103	98	tensor	tensor	NOUN
ap-656	103	99	are	be	AUX
ap-656	103	100	independent	independent	ADJ
ap-656	103	101	)	)	PUNCT
ap-656	103	102	,	,	PUNCT
ap-656	103	103	h	h	NOUN
ap-656	103	104	is	be	AUX
ap-656	103	105	a	a	DET
ap-656	103	106	(	(	PUNCT
ap-656	103	107	3m×2n	3m×2n	NOUN
ap-656	103	108	)	)	PUNCT
ap-656	103	109	matrix	matrix	NOUN
ap-656	103	110	,	,	PUNCT
ap-656	103	111	and	and	CCONJ
ap-656	103	112	,	,	PUNCT
ap-656	103	113	finally	finally	ADV
ap-656	103	114	,	,	PUNCT
ap-656	103	115	�	�	PROPN
ap-656	103	116	and	and	CCONJ
ap-656	103	117	�	�	PROPN
ap-656	103	118	are	be	AUX
ap-656	103	119	square	square	ADJ
ap-656	103	120	matrices	matrix	NOUN
ap-656	103	121	(	(	PUNCT
ap-656	103	122	3m×3	3m×3	NOUN
ap-656	103	123	m	m	NOUN
ap-656	103	124	)	)	PUNCT
ap-656	103	125	.	.	PUNCT
ap-656	104	1	since	since	SCONJ
ap-656	104	2	the	the	DET
ap-656	104	3	system	system	NOUN
ap-656	104	4	is	be	AUX
ap-656	104	5	well	well	ADV
ap-656	104	6	-	-	PUNCT
ap-656	104	7	posed	pose	VERB
ap-656	104	8	,	,	PUNCT
ap-656	104	9	the	the	DET
ap-656	104	10	regular	regular	ADJ
ap-656	104	11	matrix	matrix	NOUN
ap-656	104	12	u	u	NOUN
ap-656	104	13	may	may	AUX
ap-656	104	14	be	be	AUX
ap-656	104	15	inverted	invert	VERB
ap-656	104	16	.	.	PUNCT
ap-656	105	1	elimination	elimination	NOUN
ap-656	105	2	of	of	ADP
ap-656	105	3	p	p	NOUN
ap-656	105	4	from	from	ADP
ap-656	105	5	both	both	DET
ap-656	105	6	latter	latter	ADJ
ap-656	105	7	types	type	NOUN
ap-656	105	8	of	of	ADP
ap-656	105	9	equations	equation	NOUN
ap-656	105	10	provides	provide	VERB
ap-656	105	11	w	w	PROPN
ap-656	105	12	t	t	PROPN
ap-656	105	13	�	�	PROPN
ap-656	105	14	�	�	PROPN
ap-656	105	15	�	�	PROPN
ap-656	105	16	�	�	PROPN
ap-656	105	17	�	�	PROPN
ap-656	105	18	0	0	NUM
ap-656	105	19	,	,	PUNCT
ap-656	105	20	or	or	CCONJ
ap-656	105	21	w	w	PROPN
ap-656	105	22	e	e	PROPN
ap-656	105	23	t	t	PROPN
ap-656	105	24	�	�	PROPN
ap-656	105	25	�	�	PROPN
ap-656	105	26	�	�	PROPN
ap-656	105	27	�	�	PROPN
ap-656	105	28	,	,	PUNCT
ap-656	105	29	(	(	PUNCT
ap-656	105	30	31	31	NUM
ap-656	105	31	)	)	PUNCT
ap-656	106	1	where	where	SCONJ
ap-656	106	2	w	w	NOUN
ap-656	106	3	i	i	PRON
ap-656	106	4	hu	hu	PROPN
ap-656	106	5	s	s	PROPN
ap-656	106	6	t	t	PROPN
ap-656	106	7	hu	hu	PROPN
ap-656	106	8	s	s	PROPN
ap-656	106	9	�	�	PROPN
ap-656	106	10	�	�	PROPN
ap-656	106	11	�	�	PROPN
ap-656	106	12	�	�	PROPN
ap-656	106	13	�	�	PROPN
ap-656	106	14	�	�	PROPN
ap-656	106	15	�	�	PROPN
ap-656	106	16	�	�	PROPN
ap-656	106	17	�	�	PROPN
ap-656	106	18	�	�	PROPN
ap-656	106	19	1	1	NUM
ap-656	106	20	1	1	NUM
ap-656	106	21	,	,	PUNCT
ap-656	106	22	.	.	PUNCT
ap-656	107	1	(	(	PUNCT
ap-656	107	2	32	32	NUM
ap-656	107	3	)	)	PUNCT
ap-656	107	4	obviously	obviously	ADV
ap-656	107	5	,	,	PUNCT
ap-656	107	6	w	w	PROPN
ap-656	107	7	is	be	AUX
ap-656	107	8	a	a	DET
ap-656	107	9	regular	regular	ADJ
ap-656	107	10	(	(	PUNCT
ap-656	107	11	6m×6	6m×6	NOUN
ap-656	107	12	m	m	NOUN
ap-656	107	13	)	)	PUNCT
ap-656	107	14	matrix	matrix	NOUN
ap-656	107	15	,	,	PUNCT
ap-656	107	16	since	since	SCONJ
ap-656	107	17	for	for	ADP
ap-656	107	18	the	the	DET
ap-656	107	19	given	give	VERB
ap-656	107	20	component	component	NOUN
ap-656	107	21	of	of	ADP
ap-656	107	22	�	�	PROPN
ap-656	107	23	a	a	DET
ap-656	107	24	unique	unique	ADJ
ap-656	107	25	response	response	NOUN
ap-656	107	26	�	�	PROPN
ap-656	107	27	may	may	AUX
ap-656	107	28	be	be	AUX
ap-656	107	29	expected	expect	VERB
ap-656	107	30	.	.	PUNCT
ap-656	108	1	the	the	DET
ap-656	108	2	sought	seek	VERB
ap-656	108	3	influence	influence	NOUN
ap-656	108	4	function	function	NOUN
ap-656	108	5	tensor	tensor	NOUN
ap-656	108	6	g	g	PROPN
ap-656	108	7	is	be	AUX
ap-656	108	8	equal	equal	ADJ
ap-656	108	9	to	to	ADP
ap-656	108	10	w	w	PROPN
ap-656	108	11	t	t	PROPN
ap-656	108	12	�	�	PROPN
ap-656	108	13	1	1	NUM
ap-656	108	14	,	,	PUNCT
ap-656	108	15	while	while	SCONJ
ap-656	108	16	w	w	PROPN
ap-656	108	17	�	�	PROPN
ap-656	108	18	1	1	NUM
ap-656	108	19	is	be	AUX
ap-656	108	20	the	the	DET
ap-656	108	21	mechanical	mechanical	ADJ
ap-656	108	22	concentration	concentration	NOUN
ap-656	108	23	function	function	NOUN
ap-656	108	24	tensor	tensor	NOUN
ap-656	108	25	a.	a.	NOUN
ap-656	108	26	now	now	ADV
ap-656	108	27	we	we	PRON
ap-656	108	28	turn	turn	VERB
ap-656	108	29	to	to	ADP
ap-656	108	30	concentration	concentration	NOUN
ap-656	108	31	factors	factor	NOUN
ap-656	108	32	for	for	ADP
ap-656	108	33	the	the	DET
ap-656	108	34	phases	phase	NOUN
ap-656	108	35	.	.	PUNCT
ap-656	109	1	there	there	PRON
ap-656	109	2	still	still	ADV
ap-656	109	3	is	be	AUX
ap-656	109	4	a	a	DET
ap-656	109	5	certain	certain	ADJ
ap-656	109	6	freedom	freedom	NOUN
ap-656	109	7	in	in	ADP
ap-656	109	8	selecting	select	VERB
ap-656	109	9	matrix	matrix	NOUN
ap-656	109	10	l0	l0	PROPN
ap-656	109	11	.	.	PUNCT
ap-656	110	1	let	let	AUX
ap-656	110	2	put	put	VERB
ap-656	110	3	�	�	PROPN
ap-656	110	4	�	�	PROPN
ap-656	110	5	0	0	NUM
ap-656	110	6	and	and	CCONJ
ap-656	110	7	then	then	ADV
ap-656	110	8	successivelyl	successivelyl	VERB
ap-656	110	9	l0	l0	PROPN
ap-656	110	10	�	�	PROPN
ap-656	110	11	f	f	PROPN
ap-656	110	12	andl	andl	PROPN
ap-656	110	13	l0	l0	PROPN
ap-656	110	14	�	�	PROPN
ap-656	110	15	m	m	VERB
ap-656	110	16	in	in	ADP
ap-656	110	17	(	(	PUNCT
ap-656	110	18	23	23	NUM
ap-656	110	19	)	)	PUNCT
ap-656	110	20	.	.	PUNCT
ap-656	111	1	then	then	ADV
ap-656	111	2	obviously	obviously	ADV
ap-656	111	3	[	[	PUNCT
ap-656	111	4	]	]	X
ap-656	111	5	(	(	PUNCT
ap-656	111	6	)	)	PUNCT
ap-656	111	7	l	l	NOUN
ap-656	111	8	l	l	X
ap-656	111	9	y	y	PROPN
ap-656	111	10	l	l	X
ap-656	111	11	�	�	PROPN
ap-656	111	12	�	�	PROPN
ap-656	111	13	f	f	PROPN
ap-656	111	14	forl	forl	PROPN
ap-656	111	15	l0	l0	PROPN
ap-656	111	16	�	�	PROPN
ap-656	111	17	f	f	PROPN
ap-656	111	18	(	(	PUNCT
ap-656	111	19	33	33	NUM
ap-656	111	20	)	)	PUNCT
ap-656	111	21	and	and	CCONJ
ap-656	111	22	[	[	PUNCT
ap-656	111	23	]	]	X
ap-656	111	24	(	(	PUNCT
ap-656	111	25	)	)	PUNCT
ap-656	111	26	l	l	NOUN
ap-656	111	27	l	l	X
ap-656	111	28	y	y	PROPN
ap-656	111	29	l	l	X
ap-656	111	30	�	�	PROPN
ap-656	111	31	�	�	PROPN
ap-656	111	32	m	m	PROPN
ap-656	111	33	for	for	ADP
ap-656	111	34	l	l	PROPN
ap-656	111	35	l0	l0	PROPN
ap-656	111	36	�	�	PROPN
ap-656	111	37	m.	m.	NOUN
ap-656	111	38	(	(	PUNCT
ap-656	111	39	34	34	NUM
ap-656	111	40	)	)	PUNCT
ap-656	111	41	in	in	ADP
ap-656	111	42	the	the	DET
ap-656	111	43	same	same	ADJ
ap-656	111	44	way	way	NOUN
ap-656	111	45	in	in	ADP
ap-656	111	46	(	(	PUNCT
ap-656	111	47	21	21	NUM
ap-656	111	48	)	)	PUNCT
ap-656	111	49	changes	change	NOUN
ap-656	111	50	,	,	PUNCT
ap-656	111	51	and	and	CCONJ
ap-656	111	52	the	the	DET
ap-656	111	53	influence	influence	NOUN
ap-656	111	54	on	on	ADP
ap-656	111	55	the	the	DET
ap-656	111	56	integral	integral	ADJ
ap-656	111	57	(	(	PUNCT
ap-656	111	58	25	25	NUM
ap-656	111	59	)	)	PUNCT
ap-656	111	60	to	to	ADP
ap-656	111	61	(	(	PUNCT
ap-656	111	62	27	27	NUM
ap-656	111	63	)	)	PUNCT
ap-656	111	64	appears	appear	VERB
ap-656	111	65	as	as	ADP
ap-656	111	66	:	:	PUNCT
ap-656	111	67	u	u	NOUN
ap-656	111	68	u	u	NOUN
ap-656	111	69	y	y	PROPN
ap-656	111	70	p	p	X
ap-656	111	71	y	y	PROPN
ap-656	111	72	y	y	PROPN
ap-656	111	73	p	p	PROPN
ap-656	111	74	y	y	PROPN
ap-656	111	75	u	u	X
ap-656	111	76	y	y	PROPN
ap-656	111	77	y	y	PROPN
ap-656	111	78	l	l	PROPN
ap-656	111	79	l	l	NOUN
ap-656	111	80	(	(	PUNCT
ap-656	111	81	)	)	PUNCT
ap-656	111	82	(	(	PUNCT
ap-656	111	83	;	;	NOUN
ap-656	111	84	)	)	PUNCT
ap-656	111	85	(	(	PUNCT
ap-656	111	86	)	)	PUNCT
ap-656	111	87	(	(	PUNCT
ap-656	111	88	;	;	NOUN
ap-656	111	89	)	)	PUNCT
ap-656	111	90	(	(	PUNCT
ap-656	111	91	)	)	PUNCT
ap-656	111	92	(	(	PUNCT
ap-656	111	93	)	)	PUNCT
ap-656	111	94	�	�	PROPN
ap-656	111	95	�	�	PROPN
ap-656	111	96	�	�	PROPN
ap-656	111	97	�	�	PROPN
ap-656	111	98	�	�	PROPN
ap-656	111	99	�	�	PROPN
ap-656	111	100	�	�	PROPN
ap-656	111	101	�	�	PROPN
ap-656	111	102	�	�	PROPN
ap-656	111	103	�	�	PROPN
ap-656	111	104	�	�	PROPN
ap-656	111	105	*	*	PROPN
ap-656	111	106	*	*	PUNCT
ap-656	111	107	u	u	PROPN
ap-656	111	108	p	p	PROPN
ap-656	111	109	d	d	PROPN
ap-656	111	110	d	d	X
ap-656	111	111	f	f	PROPN
ap-656	111	112	m	m	VERB
ap-656	111	113	�	�	PROPN
ap-656	111	114	�	�	PROPN
ap-656	111	115	�	�	PROPN
ap-656	111	116	�	�	PROPN
ap-656	111	117	*	*	PUNCT
ap-656	111	118	(	(	PUNCT
ap-656	111	119	;	;	NOUN
ap-656	111	120	)	)	PUNCT
ap-656	111	121	(	(	PUNCT
ap-656	111	122	)	)	PUNCT
ap-656	111	123	,	,	PUNCT
ap-656	111	124	,	,	PUNCT
ap-656	111	125	y	y	PROPN
ap-656	111	126	y	y	PROPN
ap-656	111	127	y	y	PROPN
ap-656	111	128	�	�	PROPN
ap-656	111	129	�	�	PROPN
ap-656	111	130	�	�	PROPN
ap-656	111	131	d	d	PROPN
ap-656	111	132	(	(	PUNCT
ap-656	111	133	)	)	PUNCT
ap-656	111	134	�	�	PROPN
ap-656	111	135	�	�	PROPN
ap-656	111	136	�	�	PROPN
ap-656	111	137	�	�	PROPN
ap-656	111	138	�	�	PROPN
ap-656	111	139	(	(	PUNCT
ap-656	111	140	35	35	NUM
ap-656	111	141	)	)	PUNCT
ap-656	111	142	�	�	PROPN
ap-656	111	143	�	�	PROPN
ap-656	111	144	�	�	PROPN
ap-656	111	145	�	�	PROPN
ap-656	111	146	�	�	PROPN
ap-656	111	147	�	�	PROPN
ap-656	111	148	(	(	PUNCT
ap-656	111	149	)	)	PUNCT
ap-656	111	150	(	(	PUNCT
ap-656	111	151	;	;	NOUN
ap-656	111	152	)	)	PUNCT
ap-656	111	153	(	(	PUNCT
ap-656	111	154	)	)	PUNCT
ap-656	111	155	(	(	PUNCT
ap-656	111	156	)	)	PUNCT
ap-656	111	157	(	(	PUNCT
ap-656	111	158	;	;	NOUN
ap-656	111	159	)	)	PUNCT
ap-656	111	160	(	(	PUNCT
ap-656	111	161	)	)	PUNCT
ap-656	111	162	�	�	PROPN
ap-656	111	163	�	�	PROPN
ap-656	111	164	�	�	PROPN
ap-656	111	165	�	�	PROPN
ap-656	111	166	�	�	PROPN
ap-656	111	167	�	�	PROPN
ap-656	111	168	e	e	PROPN
ap-656	111	169	h	h	NOUN
ap-656	111	170	y	y	PROPN
ap-656	111	171	p	p	PROPN
ap-656	111	172	y	y	PROPN
ap-656	111	173	y	y	PROPN
ap-656	111	174	l	l	NOUN
ap-656	111	175	l	l	X
ap-656	112	1	y	y	NOUN
ap-656	112	2	y	y	PROPN
ap-656	112	3	y	y	PROPN
ap-656	112	4	*	*	PUNCT
ap-656	113	1	*	*	PUNCT
ap-656	113	2	u	u	NOUN
ap-656	113	3	d	d	X
ap-656	113	4	d	d	PROPN
ap-656	113	5	(	(	PUNCT
ap-656	113	6	)	)	PUNCT
ap-656	113	7	f	f	PROPN
ap-656	113	8	m	m	PROPN
ap-656	113	9	f	f	PROPN
ap-656	113	10	�	�	PROPN
ap-656	113	11	�	�	PROPN
ap-656	113	12	�	�	PROPN
ap-656	113	13	�	�	PROPN
ap-656	113	14	�	�	PROPN
ap-656	113	15	�	�	PROPN
ap-656	113	16	(	(	PUNCT
ap-656	113	17	)	)	PUNCT
ap-656	113	18	,	,	PUNCT
ap-656	113	19	(	(	PUNCT
ap-656	113	20	36	36	NUM
ap-656	113	21	)	)	PUNCT
ap-656	113	22	�	�	PROPN
ap-656	113	23	�	�	PROPN
ap-656	113	24	�	�	PROPN
ap-656	113	25	�	�	PROPN
ap-656	113	26	�	�	PROPN
ap-656	113	27	�	�	PROPN
ap-656	113	28	(	(	PUNCT
ap-656	113	29	)	)	PUNCT
ap-656	113	30	(	(	PUNCT
ap-656	113	31	;	;	NOUN
ap-656	113	32	)	)	PUNCT
ap-656	113	33	(	(	PUNCT
ap-656	113	34	)	)	PUNCT
ap-656	113	35	(	(	PUNCT
ap-656	113	36	)	)	PUNCT
ap-656	113	37	(	(	PUNCT
ap-656	113	38	;	;	NOUN
ap-656	113	39	)	)	PUNCT
ap-656	113	40	(	(	PUNCT
ap-656	113	41	)	)	PUNCT
ap-656	113	42	�	�	PROPN
ap-656	113	43	�	�	PROPN
ap-656	113	44	�	�	PROPN
ap-656	113	45	�	�	PROPN
ap-656	113	46	�	�	PROPN
ap-656	113	47	�	�	PROPN
ap-656	113	48	e	e	PROPN
ap-656	113	49	h	h	NOUN
ap-656	113	50	y	y	PROPN
ap-656	113	51	p	p	PROPN
ap-656	113	52	y	y	PROPN
ap-656	113	53	y	y	PROPN
ap-656	113	54	l	l	NOUN
ap-656	113	55	l	l	X
ap-656	114	1	y	y	NOUN
ap-656	114	2	y	y	PROPN
ap-656	114	3	y	y	PROPN
ap-656	114	4	*	*	PUNCT
ap-656	115	1	*	*	PUNCT
ap-656	115	2	u	u	NOUN
ap-656	115	3	d	d	X
ap-656	115	4	d	d	PROPN
ap-656	115	5	(	(	PUNCT
ap-656	115	6	)	)	PUNCT
ap-656	115	7	m	m	PROPN
ap-656	115	8	f	f	PROPN
ap-656	115	9	m	m	VERB
ap-656	115	10	�	�	PROPN
ap-656	115	11	�	�	PROPN
ap-656	115	12	�	�	PROPN
ap-656	115	13	�	�	PROPN
ap-656	115	14	�	�	PROPN
ap-656	115	15	�	�	PROPN
ap-656	115	16	(	(	PUNCT
ap-656	115	17	)	)	PUNCT
ap-656	115	18	.	.	PUNCT
ap-656	116	1	(	(	PUNCT
ap-656	116	2	37	37	NUM
ap-656	116	3	)	)	PUNCT
ap-656	116	4	in	in	ADP
ap-656	116	5	(	(	PUNCT
ap-656	116	6	36	36	NUM
ap-656	116	7	)	)	PUNCT
ap-656	116	8	and	and	CCONJ
ap-656	116	9	(	(	PUNCT
ap-656	116	10	37	37	NUM
ap-656	116	11	)	)	PUNCT
ap-656	116	12	it	it	PRON
ap-656	116	13	is	be	AUX
ap-656	116	14	important	important	ADJ
ap-656	116	15	that	that	SCONJ
ap-656	116	16	the	the	DET
ap-656	116	17	integration	integration	NOUN
ap-656	116	18	is	be	AUX
ap-656	116	19	led	lead	VERB
ap-656	116	20	over	over	ADP
ap-656	116	21	only	only	ADV
ap-656	116	22	one	one	NUM
ap-656	116	23	phase	phase	NOUN
ap-656	116	24	and	and	CCONJ
ap-656	116	25	the	the	DET
ap-656	116	26	second	second	NOUN
ap-656	116	27	is	be	AUX
ap-656	116	28	not	not	PART
ap-656	116	29	explicitly	explicitly	ADV
ap-656	116	30	obtained	obtain	VERB
ap-656	116	31	in	in	ADP
ap-656	116	32	the	the	DET
ap-656	116	33	formulas	formula	NOUN
ap-656	116	34	.	.	PUNCT
ap-656	117	1	this	this	DET
ap-656	117	2	fact	fact	NOUN
ap-656	117	3	can	can	AUX
ap-656	117	4	principally	principally	ADV
ap-656	117	5	speed	speed	VERB
ap-656	117	6	up	up	ADP
ap-656	117	7	the	the	DET
ap-656	117	8	computation	computation	NOUN
ap-656	117	9	,	,	PUNCT
ap-656	117	10	particularly	particularly	ADV
ap-656	117	11	if	if	SCONJ
ap-656	117	12	the	the	DET
ap-656	117	13	fiber	fiber	NOUN
ap-656	117	14	volume	volume	NOUN
ap-656	117	15	ratio	ratio	NOUN
ap-656	117	16	is	be	AUX
ap-656	117	17	very	very	ADV
ap-656	117	18	small	small	ADJ
ap-656	117	19	(	(	PUNCT
ap-656	117	20	fiber	fiber	NOUN
ap-656	117	21	reinforced	reinforce	VERB
ap-656	117	22	concrete	concrete	NOUN
ap-656	117	23	)	)	PUNCT
ap-656	117	24	,	,	PUNCT
ap-656	117	25	or	or	CCONJ
ap-656	117	26	is	be	AUX
ap-656	117	27	very	very	ADV
ap-656	117	28	large	large	ADJ
ap-656	117	29	(	(	PUNCT
ap-656	117	30	classical	classical	ADJ
ap-656	117	31	composites	composite	NOUN
ap-656	117	32	)	)	PUNCT
ap-656	117	33	.	.	PUNCT
ap-656	118	1	because	because	SCONJ
ap-656	118	2	of	of	ADP
ap-656	118	3	well	well	ADV
ap-656	118	4	-	-	PUNCT
ap-656	118	5	known	know	VERB
ap-656	118	6	identity	identity	NOUN
ap-656	118	7	c	c	NOUN
ap-656	118	8	cf	cf	NOUN
ap-656	118	9	f	f	NOUN
ap-656	118	10	m	m	PROPN
ap-656	118	11	ma	ma	PROPN
ap-656	118	12	a	a	DET
ap-656	118	13	i	i	PROPN
ap-656	118	14	�	�	PROPN
ap-656	118	15	�	�	PROPN
ap-656	118	16	(	(	PUNCT
ap-656	118	17	38	38	NUM
ap-656	118	18	)	)	PUNCT
ap-656	118	19	one	one	NUM
ap-656	118	20	concentration	concentration	NOUN
ap-656	118	21	factor	factor	NOUN
ap-656	118	22	can	can	AUX
ap-656	118	23	be	be	AUX
ap-656	118	24	calculated	calculate	VERB
ap-656	118	25	from	from	ADP
ap-656	118	26	either	either	PRON
ap-656	118	27	(	(	PUNCT
ap-656	118	28	36	36	NUM
ap-656	118	29	)	)	PUNCT
ap-656	118	30	or	or	CCONJ
ap-656	118	31	(	(	PUNCT
ap-656	118	32	37	37	NUM
ap-656	118	33	)	)	PUNCT
ap-656	118	34	,	,	PUNCT
ap-656	118	35	and	and	CCONJ
ap-656	118	36	the	the	DET
ap-656	118	37	remaining	remain	VERB
ap-656	118	38	follows	follow	VERB
ap-656	118	39	from	from	ADP
ap-656	118	40	(	(	PUNCT
ap-656	118	41	38	38	NUM
ap-656	118	42	)	)	PUNCT
ap-656	118	43	.	.	PUNCT
ap-656	119	1	note	note	VERB
ap-656	119	2	that	that	SCONJ
ap-656	119	3	for	for	ADP
ap-656	119	4	an	an	DET
ap-656	119	5	unlimited	unlimited	ADJ
ap-656	119	6	domain	domain	NOUN
ap-656	119	7	�	�	PROPN
ap-656	119	8	the	the	DET
ap-656	119	9	lippman	lippman	NOUN
ap-656	119	10	-	-	PUNCT
ap-656	119	11	schwinger	schwinger	NOUN
ap-656	119	12	equation	equation	NOUN
ap-656	119	13	is	be	AUX
ap-656	119	14	fully	fully	ADV
ap-656	119	15	fulfilled	fulfil	VERB
ap-656	119	16	.	.	PUNCT
ap-656	120	1	the	the	DET
ap-656	120	2	last	last	ADJ
ap-656	120	3	relation	relation	NOUN
ap-656	120	4	makes	make	VERB
ap-656	120	5	clear	clear	ADJ
ap-656	120	6	why	why	SCONJ
ap-656	120	7	we	we	PRON
ap-656	120	8	concentrated	concentrate	VERB
ap-656	120	9	our	our	PRON
ap-656	120	10	attention	attention	NOUN
ap-656	120	11	on	on	ADP
ap-656	120	12	splitting	splitting	NOUN
ap-656	120	13	of	of	ADP
ap-656	120	14	the	the	DET
ap-656	120	15	integrals	integral	NOUN
ap-656	120	16	into	into	ADP
ap-656	120	17	integration	integration	NOUN
ap-656	120	18	over	over	ADP
ap-656	120	19	the	the	DET
ap-656	120	20	fiber	fiber	NOUN
ap-656	120	21	and	and	CCONJ
ap-656	120	22	integration	integration	NOUN
ap-656	120	23	over	over	ADP
ap-656	120	24	the	the	DET
ap-656	120	25	matrix	matrix	NOUN
ap-656	120	26	.	.	PUNCT
ap-656	121	1	because	because	SCONJ
ap-656	121	2	of	of	ADP
ap-656	121	3	(	(	PUNCT
ap-656	121	4	38	38	NUM
ap-656	121	5	)	)	PUNCT
ap-656	121	6	we	we	PRON
ap-656	121	7	can	can	AUX
ap-656	121	8	simply	simply	ADV
ap-656	121	9	calculate	calculate	VERB
ap-656	121	10	the	the	DET
ap-656	121	11	integrals	integral	NOUN
ap-656	121	12	either	either	CCONJ
ap-656	121	13	over	over	ADP
ap-656	121	14	the	the	DET
ap-656	121	15	matrix	matrix	NOUN
ap-656	121	16	,	,	PUNCT
ap-656	121	17	or	or	CCONJ
ap-656	121	18	fiber	fiber	NOUN
ap-656	121	19	,	,	PUNCT
ap-656	121	20	exceptionally	exceptionally	ADV
ap-656	121	21	.	.	PUNCT
ap-656	122	1	then	then	ADV
ap-656	122	2	,	,	PUNCT
ap-656	122	3	using	use	VERB
ap-656	122	4	(	(	PUNCT
ap-656	122	5	38	38	NUM
ap-656	122	6	)	)	PUNCT
ap-656	122	7	,	,	PUNCT
ap-656	122	8	we	we	PRON
ap-656	122	9	get	get	VERB
ap-656	122	10	the	the	DET
ap-656	122	11	second	second	ADJ
ap-656	122	12	concentration	concentration	NOUN
ap-656	122	13	factor	factor	NOUN
ap-656	122	14	needed	need	VERB
ap-656	122	15	.	.	PUNCT
ap-656	123	1	hence	hence	ADV
ap-656	123	2	,	,	PUNCT
ap-656	123	3	in	in	ADP
ap-656	123	4	the	the	DET
ap-656	123	5	case	case	NOUN
ap-656	123	6	of	of	ADP
ap-656	123	7	elastic	elastic	ADJ
ap-656	123	8	behavior	behavior	NOUN
ap-656	123	9	,	,	PUNCT
ap-656	123	10	the	the	DET
ap-656	123	11	homogenization	homogenization	NOUN
ap-656	123	12	is	be	AUX
ap-656	123	13	straightforward	straightforward	ADJ
ap-656	123	14	:	:	PUNCT
ap-656	123	15	�	�	PROPN
ap-656	123	16	�	�	PROPN
ap-656	123	17	�	�	PROPN
ap-656	123	18	�	�	PROPN
ap-656	123	19	�	�	PROPN
ap-656	123	20	�	�	PROPN
ap-656	123	21	�	�	PROPN
ap-656	123	22	�	�	PROPN
ap-656	123	23	�	�	PROPN
ap-656	123	24	�	�	PROPN
ap-656	123	25	�	�	PROPN
ap-656	123	26	�	�	PROPN
ap-656	123	27	�	�	PROPN
ap-656	123	28	�	�	PROPN
ap-656	123	29	�	�	PROPN
ap-656	123	30	�	�	PROPN
ap-656	123	31	�	�	PROPN
ap-656	123	32	�	�	PROPN
ap-656	123	33	�	�	PROPN
ap-656	123	34	�	�	PROPN
ap-656	123	35	�	�	PROPN
ap-656	123	36	�	�	PROPN
ap-656	123	37	�	�	PROPN
ap-656	123	38	�	�	PROPN
ap-656	123	39	�	�	PROPN
ap-656	123	40	�	�	PROPN
ap-656	123	41	�	�	PROPN
ap-656	123	42	l	l	PROPN
ap-656	123	43	l	l	NOUN
ap-656	123	44	l	l	NOUN
ap-656	123	45	a	a	DET
ap-656	123	46	l	l	NOUN
ap-656	123	47	a	a	X
ap-656	123	48	e	e	X
ap-656	123	49	f	f	X
ap-656	124	1	f	f	PROPN
ap-656	124	2	f	f	PROPN
ap-656	124	3	m	m	VERB
ap-656	124	4	m	m	VERB
ap-656	124	5	m	m	VERB
ap-656	124	6	f	f	X
ap-656	124	7	f	f	X
ap-656	125	1	f	f	PROPN
ap-656	125	2	m	m	VERB
ap-656	125	3	m	m	VERB
ap-656	125	4	m	m	VERB
ap-656	125	5	(	(	PUNCT
ap-656	125	6	39	39	NUM
ap-656	125	7	)	)	PUNCT
ap-656	125	8	and	and	CCONJ
ap-656	125	9	the	the	DET
ap-656	125	10	elastic	elastic	ADJ
ap-656	125	11	stiffness	stiffness	NOUN
ap-656	125	12	matrix	matrix	NOUN
ap-656	125	13	appears	appear	VERB
ap-656	125	14	to	to	PART
ap-656	125	15	be	be	AUX
ap-656	125	16	:	:	PUNCT
ap-656	125	17	l	l	X
ap-656	125	18	l	l	NOUN
ap-656	125	19	a	a	DET
ap-656	125	20	l	l	NOUN
ap-656	126	1	a	a	NOUN
ap-656	126	2	*	*	X
ap-656	126	3	f	f	X
ap-656	126	4	f	f	X
ap-656	127	1	f	f	PROPN
ap-656	127	2	m	m	VERB
ap-656	127	3	m	m	VERB
ap-656	127	4	m	m	PROPN
ap-656	127	5	�	�	PROPN
ap-656	127	6	�	�	PROPN
ap-656	127	7	�	�	PROPN
ap-656	127	8	�	�	PROPN
ap-656	127	9	�	�	PROPN
ap-656	127	10	�	�	PROPN
ap-656	127	11	�	�	PROPN
ap-656	127	12	�	�	PROPN
ap-656	127	13	.	.	PUNCT
ap-656	128	1	(	(	PUNCT
ap-656	128	2	40	40	NUM
ap-656	128	3	)	)	PUNCT
ap-656	128	4	it	it	PRON
ap-656	128	5	is	be	AUX
ap-656	128	6	worth	worth	ADJ
ap-656	128	7	noting	note	VERB
ap-656	128	8	that	that	SCONJ
ap-656	128	9	the	the	DET
ap-656	128	10	stress	stress	NOUN
ap-656	128	11	concentration	concentration	NOUN
ap-656	128	12	factor	factor	NOUN
ap-656	128	13	can	can	AUX
ap-656	128	14	be	be	AUX
ap-656	128	15	derived	derive	VERB
ap-656	128	16	in	in	ADP
ap-656	128	17	the	the	DET
ap-656	128	18	same	same	ADJ
ap-656	128	19	way	way	NOUN
ap-656	128	20	:	:	PUNCT
ap-656	128	21	�	�	PROPN
ap-656	128	22	�	�	PROPN
ap-656	128	23	�	�	PROPN
ap-656	128	24	�	�	PROPN
ap-656	128	25	�	�	PROPN
ap-656	128	26	�	�	PROPN
ap-656	128	27	b	b	PROPN
ap-656	128	28	�	�	PROPN
ap-656	128	29	�	�	PROPN
ap-656	128	30	�	�	PROPN
ap-656	128	31	f	f	PROPN
ap-656	128	32	m	m	PROPN
ap-656	128	33	(	(	PUNCT
ap-656	128	34	41	41	NUM
ap-656	128	35	)	)	PUNCT
ap-656	128	36	note	note	VERB
ap-656	128	37	that	that	SCONJ
ap-656	128	38	in	in	ADP
ap-656	128	39	the	the	DET
ap-656	128	40	general	general	ADJ
ap-656	128	41	case	case	NOUN
ap-656	128	42	relation	relation	NOUN
ap-656	128	43	(	(	PUNCT
ap-656	128	44	41	41	NUM
ap-656	128	45	)	)	PUNCT
ap-656	128	46	is	be	AUX
ap-656	128	47	calculated	calculate	VERB
ap-656	128	48	from	from	ADP
ap-656	128	49	the	the	DET
ap-656	128	50	given	give	VERB
ap-656	128	51	�	�	PROPN
ap-656	128	52	.	.	PUNCT
ap-656	129	1	this	this	PRON
ap-656	129	2	leads	lead	VERB
ap-656	129	3	to	to	ADP
ap-656	129	4	similar	similar	ADJ
ap-656	129	5	integral	integral	ADJ
ap-656	129	6	equations	equation	NOUN
ap-656	129	7	,	,	PUNCT
ap-656	129	8	but	but	CCONJ
ap-656	129	9	the	the	DET
ap-656	129	10	solution	solution	NOUN
ap-656	129	11	is	be	AUX
ap-656	129	12	not	not	PART
ap-656	129	13	the	the	DET
ap-656	129	14	same	same	ADJ
ap-656	129	15	.	.	PUNCT
ap-656	130	1	since	since	SCONJ
ap-656	130	2	the	the	DET
ap-656	130	3	external	external	ADJ
ap-656	130	4	forces	force	NOUN
ap-656	130	5	are	be	AUX
ap-656	130	6	equilibrated	equilibrate	VERB
ap-656	130	7	,	,	PUNCT
ap-656	130	8	the	the	DET
ap-656	130	9	rigid	rigid	ADJ
ap-656	130	10	motion	motion	NOUN
ap-656	130	11	of	of	ADP
ap-656	130	12	the	the	DET
ap-656	130	13	unit	unit	NOUN
ap-656	130	14	cell	cell	NOUN
ap-656	130	15	is	be	AUX
ap-656	130	16	disregarded	disregard	VERB
ap-656	130	17	,	,	PUNCT
ap-656	130	18	and	and	CCONJ
ap-656	130	19	the	the	DET
ap-656	130	20	solution	solution	NOUN
ap-656	130	21	is	be	AUX
ap-656	130	22	then	then	ADV
ap-656	130	23	unique	unique	ADJ
ap-656	130	24	.	.	PUNCT
ap-656	131	1	here	here	ADV
ap-656	131	2	we	we	PRON
ap-656	131	3	use	use	VERB
ap-656	131	4	relation	relation	NOUN
ap-656	131	5	(	(	PUNCT
ap-656	131	6	41	41	NUM
ap-656	131	7	)	)	PUNCT
ap-656	131	8	and	and	CCONJ
ap-656	131	9	the	the	DET
ap-656	131	10	possibility	possibility	NOUN
ap-656	131	11	to	to	PART
ap-656	131	12	invert	invert	VERB
ap-656	131	13	l	l	NOUN
ap-656	131	14	*	*	NOUN
ap-656	131	15	.	.	PUNCT
ap-656	131	16	including	include	VERB
ap-656	131	17	the	the	DET
ap-656	131	18	eigenparameters	eigenparameter	NOUN
ap-656	131	19	into	into	ADP
ap-656	131	20	the	the	DET
ap-656	131	21	calculation	calculation	NOUN
ap-656	131	22	,	,	PUNCT
ap-656	131	23	we	we	PRON
ap-656	131	24	can	can	AUX
ap-656	131	25	derive	derive	VERB
ap-656	131	26	from	from	ADP
ap-656	131	27	(	(	PUNCT
ap-656	131	28	35	35	NUM
ap-656	131	29	)	)	PUNCT
ap-656	131	30	to	to	ADP
ap-656	131	31	(	(	PUNCT
ap-656	131	32	37	37	NUM
ap-656	131	33	)	)	PUNCT
ap-656	131	34	the	the	DET
ap-656	131	35	relations	relation	NOUN
ap-656	131	36	�	�	PROPN
ap-656	131	37	�	�	PROPN
ap-656	131	38	�	�	PROPN
ap-656	131	39	�	�	PROPN
ap-656	131	40	�	�	PROPN
ap-656	131	41	�	�	PROPN
ap-656	131	42	�	�	PROPN
ap-656	131	43	�	�	PROPN
ap-656	131	44	�	�	PROPN
ap-656	131	45	�	�	PROPN
ap-656	131	46	�	�	PROPN
ap-656	131	47	�	�	PROPN
ap-656	131	48	�	�	PROPN
ap-656	131	49	�	�	PROPN
ap-656	131	50	�	�	PROPN
ap-656	131	51	�	�	PROPN
ap-656	131	52	a	a	DET
ap-656	131	53	e	e	NOUN
ap-656	131	54	d	d	X
ap-656	131	55	b	b	PROPN
ap-656	132	1	fk	fk	INTJ
ap-656	132	2	k	k	PROPN
ap-656	132	3	k	k	PROPN
ap-656	132	4	k	k	PROPN
ap-656	132	5	�	�	PROPN
ap-656	132	6	�	�	PROPN
ap-656	132	7	�	�	PROPN
ap-656	132	8	f	f	PROPN
ap-656	132	9	m.	m.	NOUN
ap-656	132	10	(	(	PUNCT
ap-656	132	11	42	42	NUM
ap-656	132	12	)	)	PUNCT
ap-656	132	13	the	the	DET
ap-656	132	14	relations	relation	NOUN
ap-656	132	15	(	(	PUNCT
ap-656	132	16	42	42	NUM
ap-656	132	17	)	)	PUNCT
ap-656	132	18	are	be	AUX
ap-656	132	19	the	the	DET
ap-656	132	20	starting	starting	NOUN
ap-656	132	21	points	point	NOUN
ap-656	132	22	for	for	ADP
ap-656	132	23	the	the	DET
ap-656	132	24	theories	theory	NOUN
ap-656	132	25	established	establish	VERB
ap-656	132	26	by	by	ADP
ap-656	132	27	dvorak	dvorak	PROPN
ap-656	132	28	.	.	PUNCT
ap-656	133	1	he	he	PRON
ap-656	133	2	assumes	assume	VERB
ap-656	133	3	that	that	SCONJ
ap-656	133	4	the	the	DET
ap-656	133	5	concentration	concentration	NOUN
ap-656	133	6	functions	function	NOUN
ap-656	133	7	are	be	AUX
ap-656	133	8	estimated	estimate	VERB
ap-656	133	9	by	by	ADP
ap-656	133	10	approximate	approximate	ADJ
ap-656	133	11	formulas	formula	NOUN
ap-656	133	12	following	follow	VERB
ap-656	133	13	mori	mori	PROPN
ap-656	133	14	-	-	PUNCT
ap-656	133	15	tanaka	tanaka	PROPN
ap-656	133	16	,	,	PUNCT
ap-656	133	17	or	or	CCONJ
ap-656	133	18	the	the	DET
ap-656	133	19	self	self	NOUN
ap-656	133	20	-	-	PUNCT
ap-656	133	21	consistent	consistent	ADJ
ap-656	133	22	method	method	NOUN
ap-656	133	23	.	.	PUNCT
ap-656	134	1	the	the	DET
ap-656	134	2	calculations	calculation	NOUN
ap-656	134	3	presented	present	VERB
ap-656	134	4	in	in	ADP
ap-656	134	5	this	this	DET
ap-656	134	6	paper	paper	NOUN
ap-656	134	7	are	be	AUX
ap-656	134	8	considered	consider	VERB
ap-656	134	9	to	to	PART
ap-656	134	10	be	be	AUX
ap-656	134	11	very	very	ADV
ap-656	134	12	accurate	accurate	ADJ
ap-656	134	13	and	and	CCONJ
ap-656	134	14	fast	fast	ADJ
ap-656	134	15	.	.	PUNCT
ap-656	135	1	5	5	NUM
ap-656	135	2	viscoelasticity	viscoelasticity	NOUN
ap-656	135	3	in	in	ADP
ap-656	135	4	linear	linear	ADJ
ap-656	135	5	viscoelasticity	viscoelasticity	NOUN
ap-656	135	6	it	it	PRON
ap-656	135	7	is	be	AUX
ap-656	135	8	always	always	ADV
ap-656	135	9	possible	possible	ADJ
ap-656	135	10	to	to	PART
ap-656	135	11	write	write	VERB
ap-656	135	12	the	the	DET
ap-656	135	13	stress	stress	NOUN
ap-656	135	14	-	-	PUNCT
ap-656	135	15	strain	strain	NOUN
ap-656	135	16	relation	relation	NOUN
ap-656	135	17	in	in	ADP
ap-656	135	18	a	a	DET
ap-656	135	19	similar	similar	ADJ
ap-656	135	20	form	form	NOUN
ap-656	135	21	to	to	ADP
ap-656	135	22	that	that	PRON
ap-656	135	23	of	of	ADP
ap-656	135	24	elasticity	elasticity	NOUN
ap-656	135	25	with	with	ADP
ap-656	135	26	the	the	DET
ap-656	135	27	terms	term	NOUN
ap-656	135	28	of	of	ADP
ap-656	135	29	the	the	DET
ap-656	135	30	l	l	NOUN
ap-656	135	31	*	*	NOUN
ap-656	135	32	matrix	matrix	NOUN
ap-656	135	33	now	now	ADV
ap-656	135	34	representing	represent	VERB
ap-656	135	35	suitable	suitable	ADJ
ap-656	135	36	differential	differential	ADJ
ap-656	135	37	or	or	CCONJ
ap-656	135	38	integral	integral	ADJ
ap-656	135	39	operators	operator	NOUN
ap-656	135	40	,	,	PUNCT
ap-656	135	41	rather	rather	ADV
ap-656	135	42	than	than	ADP
ap-656	135	43	elastic	elastic	ADJ
ap-656	135	44	constants	constant	NOUN
ap-656	135	45	.	.	PUNCT
ap-656	136	1	thus	thus	ADV
ap-656	136	2	in	in	ADP
ap-656	136	3	an	an	DET
ap-656	136	4	isotropic	isotropic	NOUN
ap-656	136	5	continuum	continuum	NOUN
ap-656	136	6	a	a	DET
ap-656	136	7	pair	pair	NOUN
ap-656	136	8	of	of	ADP
ap-656	136	9	operators	operator	NOUN
ap-656	136	10	corresponding	correspond	VERB
ap-656	136	11	to	to	ADP
ap-656	136	12	an	an	DET
ap-656	136	13	appropriate	appropriate	ADJ
ap-656	136	14	pair	pair	NOUN
ap-656	136	15	of	of	ADP
ap-656	136	16	elastic	elastic	ADJ
ap-656	136	17	constants	constant	NOUN
ap-656	136	18	will	will	AUX
ap-656	136	19	appear	appear	VERB
ap-656	136	20	–	–	PUNCT
ap-656	136	21	while	while	SCONJ
ap-656	136	22	for	for	ADP
ap-656	136	23	anisotropic	anisotropic	NOUN
ap-656	136	24	material	material	NOUN
ap-656	136	25	up	up	ADP
ap-656	136	26	to	to	PART
ap-656	136	27	9	9	NUM
ap-656	136	28	separate	separate	ADJ
ap-656	136	29	operators	operator	NOUN
ap-656	136	30	may	may	AUX
ap-656	136	31	be	be	AUX
ap-656	136	32	necessary	necessary	ADJ
ap-656	136	33	.	.	PUNCT
ap-656	137	1	typically	typically	ADV
ap-656	137	2	,	,	PUNCT
ap-656	137	3	the	the	DET
ap-656	137	4	viscoelastic	viscoelastic	ADJ
ap-656	137	5	part	part	NOUN
ap-656	137	6	of	of	ADP
ap-656	137	7	the	the	DET
ap-656	137	8	strain	strain	NOUN
ap-656	137	9	may	may	AUX
ap-656	137	10	thus	thus	ADV
ap-656	137	11	be	be	AUX
ap-656	137	12	described	describe	VERB
ap-656	137	13	by	by	ADP
ap-656	137	14	�	�	PROPN
ap-656	137	15	�	�	PROPN
ap-656	137	16	c	c	PROPN
ap-656	137	17	�	�	PROPN
ap-656	137	18	�	�	PROPN
ap-656	137	19	l	l	PROPN
ap-656	137	20	1	1	NUM
ap-656	137	21	,	,	PUNCT
ap-656	137	22	(	(	PUNCT
ap-656	137	23	43	43	NUM
ap-656	137	24	)	)	PUNCT
ap-656	137	25	where	where	SCONJ
ap-656	137	26	each	each	DET
ap-656	137	27	term	term	NOUN
ap-656	137	28	of	of	ADP
ap-656	137	29	the	the	DET
ap-656	137	30	viscoelastic	viscoelastic	ADJ
ap-656	137	31	matrix	matrix	NOUN
ap-656	137	32	,	,	PUNCT
ap-656	137	33	l	l	X
ap-656	137	34	�	�	PROPN
ap-656	137	35	1	1	NUM
ap-656	137	36	,	,	PUNCT
ap-656	137	37	may	may	AUX
ap-656	137	38	take	take	VERB
ap-656	137	39	up	up	ADP
ap-656	137	40	a	a	DET
ap-656	137	41	form	form	NOUN
ap-656	137	42	of	of	ADP
ap-656	137	43	kelvin	kelvin	PROPN
ap-656	137	44	chains	chain	NOUN
ap-656	137	45	.	.	PUNCT
ap-656	138	1	this	this	PRON
ap-656	138	2	,	,	PUNCT
ap-656	138	3	as	as	SCONJ
ap-656	138	4	is	be	AUX
ap-656	138	5	well	well	ADV
ap-656	138	6	known	know	VERB
ap-656	138	7	,	,	PUNCT
ap-656	138	8	can	can	AUX
ap-656	138	9	be	be	AUX
ap-656	138	10	interpreted	interpret	VERB
ap-656	138	11	as	as	ADP
ap-656	138	12	a	a	DET
ap-656	138	13	response	response	NOUN
ap-656	138	14	of	of	ADP
ap-656	138	15	the	the	DET
ap-656	138	16	form	form	NOUN
ap-656	138	17	:	:	PUNCT
ap-656	138	18	�	�	PROPN
ap-656	138	19	�	�	PROPN
ap-656	138	20	t	t	PROPN
ap-656	138	21	(	(	PUNCT
ap-656	138	22	)	)	PUNCT
ap-656	138	23	e	e	PROPN
ap-656	138	24	a	a	PRON
ap-656	138	25	b	b	PROPN
ap-656	138	26	en	en	ADP
ap-656	138	27	n	n	PROPN
ap-656	138	28	s	s	PROPN
ap-656	138	29	n	n	CCONJ
ap-656	138	30	n	n	CCONJ
ap-656	138	31	�	�	PROPN
ap-656	138	32	�	�	PROPN
ap-656	138	33	�	�	PROPN
ap-656	138	34	(	(	PUNCT
ap-656	138	35	44	44	NUM
ap-656	138	36	)	)	PUNCT
ap-656	138	37	the	the	DET
ap-656	138	38	increments	increment	NOUN
ap-656	138	39	of	of	ADP
ap-656	138	40	each	each	DET
ap-656	138	41	such	such	ADJ
ap-656	138	42	term	term	NOUN
ap-656	138	43	in	in	ADP
ap-656	138	44	a	a	DET
ap-656	138	45	time	time	NOUN
ap-656	138	46	interval	interval	NOUN
ap-656	138	47	may	may	AUX
ap-656	138	48	now	now	ADV
ap-656	138	49	be	be	AUX
ap-656	138	50	found	find	VERB
ap-656	138	51	from	from	ADP
ap-656	138	52	the	the	DET
ap-656	138	53	above	above	ADJ
ap-656	138	54	expression	expression	NOUN
ap-656	138	55	from	from	ADP
ap-656	138	56	the	the	DET
ap-656	138	57	knowledge	knowledge	NOUN
ap-656	138	58	of	of	ADP
ap-656	138	59	the	the	DET
ap-656	138	60	current	current	ADJ
ap-656	138	61	value	value	NOUN
ap-656	138	62	of	of	ADP
ap-656	138	63	appropriate	appropriate	ADJ
ap-656	138	64	stress	stress	NOUN
ap-656	138	65	component	component	NOUN
ap-656	138	66	�	�	PROPN
ap-656	138	67	s	s	PART
ap-656	138	68	and	and	CCONJ
ap-656	138	69	the	the	DET
ap-656	138	70	current	current	ADJ
ap-656	138	71	value	value	NOUN
ap-656	138	72	of	of	ADP
ap-656	138	73	en	en	X
ap-656	138	74	.	.	PUNCT
ap-656	139	1	thus	thus	ADV
ap-656	139	2	it	it	PRON
ap-656	139	3	becomes	become	VERB
ap-656	139	4	necessary	necessary	ADJ
ap-656	139	5	to	to	PART
ap-656	139	6	store	store	VERB
ap-656	139	7	©	©	PROPN
ap-656	139	8	czech	czech	PROPN
ap-656	139	9	technical	technical	PROPN
ap-656	139	10	university	university	PROPN
ap-656	139	11	publishing	publishing	NOUN
ap-656	139	12	house	house	NOUN
ap-656	139	13	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-656	139	14	197	197	NUM
ap-656	139	15	acta	acta	PROPN
ap-656	139	16	polytechnica	polytechnica	PROPN
ap-656	139	17	vol	vol	NOUN
ap-656	139	18	.	.	PROPN
ap-656	140	1	44	44	NUM
ap-656	140	2	no.5–6/2004	no.5–6/2004	X
ap-656	140	3	only	only	ADV
ap-656	140	4	a	a	DET
ap-656	140	5	finite	finite	ADJ
ap-656	140	6	number	number	NOUN
ap-656	140	7	of	of	ADP
ap-656	140	8	such	such	ADJ
ap-656	140	9	terms	term	NOUN
ap-656	140	10	as	as	ADP
ap-656	140	11	e	e	NOUN
ap-656	140	12	n	n	CCONJ
ap-656	140	13	at	at	ADP
ap-656	140	14	their	their	PRON
ap-656	140	15	current	current	ADJ
ap-656	140	16	value	value	NOUN
ap-656	140	17	to	to	PART
ap-656	140	18	represent	represent	VERB
ap-656	140	19	the	the	DET
ap-656	140	20	full	full	ADJ
ap-656	140	21	history	history	NOUN
ap-656	140	22	effect	effect	NOUN
ap-656	140	23	.	.	PUNCT
ap-656	141	1	the	the	DET
ap-656	141	2	viscoelastic	viscoelastic	NOUN
ap-656	141	3	strains	strain	NOUN
ap-656	141	4	can	can	AUX
ap-656	141	5	be	be	AUX
ap-656	141	6	treated	treat	VERB
ap-656	141	7	as	as	ADP
ap-656	141	8	eigenstrains	eigenstrain	NOUN
ap-656	141	9	,	,	PUNCT
ap-656	141	10	value	value	VERB
ap-656	141	11	a	a	DET
ap-656	141	12	representing	represent	VERB
ap-656	141	13	spring	spring	NOUN
ap-656	141	14	and	and	CCONJ
ap-656	141	15	value	value	NOUN
ap-656	141	16	b	b	NOUN
ap-656	141	17	representing	represent	VERB
ap-656	141	18	dashpot	dashpot	NOUN
ap-656	141	19	.	.	PUNCT
ap-656	142	1	6	6	NUM
ap-656	142	2	damage	damage	NOUN
ap-656	142	3	properties	property	NOUN
ap-656	142	4	damage	damage	NOUN
ap-656	142	5	effects	effect	NOUN
ap-656	142	6	are	be	AUX
ap-656	142	7	split	split	VERB
ap-656	142	8	into	into	ADP
ap-656	142	9	two	two	NUM
ap-656	142	10	parts	part	NOUN
ap-656	142	11	:	:	PUNCT
ap-656	142	12	the	the	DET
ap-656	142	13	first	first	ADJ
ap-656	142	14	part	part	NOUN
ap-656	142	15	is	be	AUX
ap-656	142	16	connected	connect	VERB
ap-656	142	17	with	with	ADP
ap-656	142	18	exclusion	exclusion	NOUN
ap-656	142	19	of	of	ADP
ap-656	142	20	tensile	tensile	NOUN
ap-656	142	21	stress	stress	NOUN
ap-656	142	22	in	in	ADP
ap-656	142	23	the	the	DET
ap-656	142	24	principal	principal	ADJ
ap-656	142	25	direction	direction	NOUN
ap-656	142	26	,	,	PUNCT
ap-656	142	27	which	which	PRON
ap-656	142	28	overcomes	overcome	VERB
ap-656	142	29	some	some	DET
ap-656	142	30	prescribed	prescribed	ADJ
ap-656	142	31	value	value	NOUN
ap-656	142	32	(	(	PUNCT
ap-656	142	33	tensile	tensile	NOUN
ap-656	142	34	strength	strength	NOUN
ap-656	142	35	�	�	PROPN
ap-656	142	36	+	+	NOUN
ap-656	142	37	)	)	PUNCT
ap-656	142	38	.	.	PUNCT
ap-656	143	1	note	note	VERB
ap-656	143	2	that	that	SCONJ
ap-656	143	3	if	if	SCONJ
ap-656	143	4	the	the	DET
ap-656	143	5	tensile	tensile	NOUN
ap-656	143	6	strength	strength	NOUN
ap-656	143	7	is	be	AUX
ap-656	143	8	different	different	ADJ
ap-656	143	9	from	from	ADP
ap-656	143	10	zero	zero	NUM
ap-656	143	11	,	,	PUNCT
ap-656	143	12	the	the	DET
ap-656	143	13	mathematical	mathematical	ADJ
ap-656	143	14	formulations	formulation	NOUN
ap-656	143	15	lead	lead	VERB
ap-656	143	16	to	to	ADP
ap-656	143	17	problems	problem	NOUN
ap-656	143	18	,	,	PUNCT
ap-656	143	19	the	the	DET
ap-656	143	20	correct	correct	ADJ
ap-656	143	21	solution	solution	NOUN
ap-656	143	22	of	of	ADP
ap-656	143	23	which	which	PRON
ap-656	143	24	is	be	AUX
ap-656	143	25	not	not	PART
ap-656	143	26	yet	yet	ADV
ap-656	143	27	fully	fully	ADV
ap-656	143	28	proved	prove	VERB
ap-656	143	29	.	.	PUNCT
ap-656	144	1	nevertheless	nevertheless	ADV
ap-656	144	2	,	,	PUNCT
ap-656	144	3	the	the	DET
ap-656	144	4	mechanical	mechanical	ADJ
ap-656	144	5	results	result	NOUN
ap-656	144	6	are	be	AUX
ap-656	144	7	reasonable	reasonable	ADJ
ap-656	144	8	and	and	CCONJ
ap-656	144	9	for	for	ADP
ap-656	144	10	practical	practical	ADJ
ap-656	144	11	applications	application	NOUN
ap-656	144	12	they	they	PRON
ap-656	144	13	are	be	AUX
ap-656	144	14	treated	treat	VERB
ap-656	144	15	as	as	ADP
ap-656	144	16	correct	correct	ADJ
ap-656	144	17	,	,	PUNCT
ap-656	144	18	at	at	ADP
ap-656	144	19	least	least	ADJ
ap-656	144	20	from	from	ADP
ap-656	144	21	the	the	DET
ap-656	144	22	mechanical	mechanical	ADJ
ap-656	144	23	standpoint	standpoint	NOUN
ap-656	144	24	.	.	PUNCT
ap-656	145	1	if	if	SCONJ
ap-656	145	2	the	the	DET
ap-656	145	3	principal	principal	ADJ
ap-656	145	4	stress	stress	NOUN
ap-656	145	5	is	be	AUX
ap-656	145	6	too	too	ADV
ap-656	145	7	low	low	ADJ
ap-656	145	8	,	,	PUNCT
ap-656	145	9	the	the	DET
ap-656	145	10	stiffness	stiffness	NOUN
ap-656	145	11	is	be	AUX
ap-656	145	12	weaker	weak	ADJ
ap-656	145	13	.	.	PUNCT
ap-656	146	1	the	the	DET
ap-656	146	2	tests	test	NOUN
ap-656	146	3	are	be	AUX
ap-656	146	4	carried	carry	VERB
ap-656	146	5	out	out	ADP
ap-656	146	6	in	in	ADP
ap-656	146	7	each	each	DET
ap-656	146	8	cell	cell	NOUN
ap-656	146	9	of	of	ADP
ap-656	146	10	the	the	DET
ap-656	146	11	discretization	discretization	NOUN
ap-656	146	12	into	into	ADP
ap-656	146	13	the	the	DET
ap-656	146	14	boundary	boundary	ADJ
ap-656	146	15	elements	element	NOUN
ap-656	146	16	and	and	CCONJ
ap-656	146	17	internal	internal	ADJ
ap-656	146	18	cells	cell	NOUN
ap-656	146	19	.	.	PUNCT
ap-656	147	1	the	the	DET
ap-656	147	2	second	second	ADJ
ap-656	147	3	criterion	criterion	NOUN
ap-656	147	4	of	of	ADP
ap-656	147	5	damage	damage	NOUN
ap-656	147	6	is	be	AUX
ap-656	147	7	violation	violation	NOUN
ap-656	147	8	of	of	ADP
ap-656	147	9	the	the	DET
ap-656	147	10	mohr	mohr	PROPN
ap-656	147	11	-	-	PUNCT
ap-656	147	12	coulomb	coulomb	PROPN
ap-656	147	13	hypothesis	hypothesis	NOUN
ap-656	147	14	in	in	ADP
ap-656	147	15	the	the	DET
ap-656	147	16	principal	principal	ADJ
ap-656	147	17	shear	shear	NOUN
ap-656	147	18	direction	direction	NOUN
ap-656	147	19	.	.	PUNCT
ap-656	148	1	because	because	SCONJ
ap-656	148	2	the	the	DET
ap-656	148	3	outcome	outcome	NOUN
ap-656	148	4	of	of	ADP
ap-656	148	5	such	such	DET
ap-656	148	6	a	a	DET
ap-656	148	7	violation	violation	NOUN
ap-656	148	8	is	be	AUX
ap-656	148	9	shear	shear	NOUN
ap-656	148	10	cracks	crack	NOUN
ap-656	148	11	–	–	PUNCT
ap-656	148	12	disconnection	disconnection	NOUN
ap-656	148	13	of	of	ADP
ap-656	148	14	displacements	displacement	NOUN
ap-656	148	15	–	–	PUNCT
ap-656	148	16	the	the	DET
ap-656	148	17	shear	shear	NOUN
ap-656	148	18	modulus	modulus	NOUN
ap-656	148	19	is	be	AUX
ap-656	148	20	calculated	calculate	VERB
ap-656	148	21	for	for	ADP
ap-656	148	22	the	the	DET
ap-656	148	23	new	new	ADJ
ap-656	148	24	stage	stage	NOUN
ap-656	148	25	.	.	PUNCT
ap-656	149	1	7	7	NUM
ap-656	149	2	example	example	NOUN
ap-656	149	3	since	since	SCONJ
ap-656	149	4	the	the	DET
ap-656	149	5	procedure	procedure	NOUN
ap-656	149	6	leads	lead	VERB
ap-656	149	7	to	to	ADP
ap-656	149	8	a	a	DET
ap-656	149	9	linear	linear	ADJ
ap-656	149	10	relations	relation	NOUN
ap-656	149	11	at	at	ADP
ap-656	149	12	each	each	DET
ap-656	149	13	stage	stage	NOUN
ap-656	149	14	,	,	PUNCT
ap-656	149	15	for	for	ADP
ap-656	149	16	given	give	VERB
ap-656	149	17	(	(	PUNCT
ap-656	149	18	step	step	NOUN
ap-656	149	19	by	by	ADP
ap-656	149	20	step	step	NOUN
ap-656	149	21	increasing	increase	VERB
ap-656	149	22	)	)	PUNCT
ap-656	149	23	values	value	NOUN
ap-656	149	24	of	of	ADP
ap-656	149	25	components	component	NOUN
ap-656	149	26	of	of	ADP
ap-656	149	27	either	either	CCONJ
ap-656	149	28	stress	stress	NOUN
ap-656	149	29	tensor	tensor	NOUN
ap-656	149	30	(	(	PUNCT
ap-656	149	31	elastic	elastic	ADJ
ap-656	149	32	and	and	CCONJ
ap-656	149	33	relaxation	relaxation	NOUN
ap-656	149	34	part	part	NOUN
ap-656	149	35	)	)	PUNCT
ap-656	149	36	or	or	CCONJ
ap-656	149	37	the	the	DET
ap-656	149	38	strain	strain	NOUN
ap-656	149	39	tensor	tensor	NOUN
ap-656	149	40	(	(	PUNCT
ap-656	149	41	elastic	elastic	ADJ
ap-656	149	42	and	and	CCONJ
ap-656	149	43	viscoelastic	viscoelastic	ADJ
ap-656	149	44	part	part	NOUN
ap-656	149	45	)	)	PUNCT
ap-656	149	46	of	of	ADP
ap-656	149	47	“	"	PUNCT
ap-656	149	48	unit	unit	NOUN
ap-656	149	49	impulses	impulse	NOUN
ap-656	149	50	”	"	PUNCT
ap-656	149	51	we	we	PRON
ap-656	149	52	do	do	AUX
ap-656	149	53	not	not	PART
ap-656	149	54	need	need	VERB
ap-656	149	55	to	to	PART
ap-656	149	56	compute	compute	VERB
ap-656	149	57	the	the	DET
ap-656	149	58	influence	influence	NOUN
ap-656	149	59	tensors	tensor	NOUN
ap-656	149	60	.	.	PUNCT
ap-656	150	1	now	now	ADV
ap-656	150	2	the	the	DET
ap-656	150	3	procedure	procedure	NOUN
ap-656	150	4	fully	fully	ADV
ap-656	150	5	described	describe	VERB
ap-656	150	6	in	in	ADP
ap-656	150	7	[	[	X
ap-656	150	8	15	15	NUM
ap-656	150	9	]	]	PUNCT
ap-656	150	10	can	can	AUX
ap-656	150	11	be	be	AUX
ap-656	150	12	used	use	VERB
ap-656	150	13	.	.	PUNCT
ap-656	151	1	note	note	VERB
ap-656	151	2	that	that	SCONJ
ap-656	151	3	in	in	ADP
ap-656	151	4	[	[	X
ap-656	151	5	15	15	NUM
ap-656	151	6	]	]	PUNCT
ap-656	151	7	,	,	PUNCT
ap-656	151	8	the	the	DET
ap-656	151	9	values	value	NOUN
ap-656	151	10	of	of	ADP
ap-656	151	11	the	the	DET
ap-656	151	12	concentration	concentration	NOUN
ap-656	151	13	tensors	tensor	NOUN
ap-656	151	14	,	,	PUNCT
ap-656	151	15	which	which	PRON
ap-656	151	16	are	be	AUX
ap-656	151	17	the	the	DET
ap-656	151	18	most	most	ADV
ap-656	151	19	important	important	ADJ
ap-656	151	20	quantities	quantity	NOUN
ap-656	151	21	for	for	ADP
ap-656	151	22	numerical	numerical	ADJ
ap-656	151	23	computation	computation	NOUN
ap-656	151	24	,	,	PUNCT
ap-656	151	25	are	be	AUX
ap-656	151	26	computed	compute	VERB
ap-656	151	27	by	by	ADP
ap-656	151	28	very	very	ADV
ap-656	151	29	approximate	approximate	ADJ
ap-656	151	30	methods	method	NOUN
ap-656	151	31	(	(	PUNCT
ap-656	151	32	mori	mori	NOUN
ap-656	151	33	-	-	PUNCT
ap-656	151	34	tanaka	tanaka	PROPN
ap-656	151	35	,	,	PUNCT
ap-656	151	36	etc	etc	X
ap-656	151	37	.	.	X
ap-656	151	38	)	)	PUNCT
ap-656	151	39	.	.	PUNCT
ap-656	152	1	a	a	DET
ap-656	152	2	quarter	quarter	NOUN
ap-656	152	3	of	of	ADP
ap-656	152	4	a	a	DET
ap-656	152	5	unit	unit	NOUN
ap-656	152	6	cell	cell	NOUN
ap-656	152	7	is	be	AUX
ap-656	152	8	considered	consider	VERB
ap-656	152	9	with	with	ADP
ap-656	152	10	a	a	DET
ap-656	152	11	fiber	fiber	NOUN
ap-656	152	12	volume	volume	NOUN
ap-656	152	13	ratio	ratio	NOUN
ap-656	152	14	equal	equal	ADJ
ap-656	152	15	to	to	ADP
ap-656	152	16	0.6	0.6	NUM
ap-656	152	17	,	,	PUNCT
ap-656	152	18	according	accord	VERB
ap-656	152	19	to	to	ADP
ap-656	152	20	fig	fig	NOUN
ap-656	152	21	.	.	PUNCT
ap-656	153	1	2	2	X
ap-656	153	2	.	.	X
ap-656	153	3	we	we	PRON
ap-656	153	4	used	use	VERB
ap-656	153	5	the	the	DET
ap-656	153	6	following	follow	VERB
ap-656	153	7	elastic	elastic	ADJ
ap-656	153	8	material	material	NOUN
ap-656	153	9	properties	property	NOUN
ap-656	153	10	of	of	ADP
ap-656	153	11	the	the	DET
ap-656	153	12	phases	phase	NOUN
ap-656	153	13	:	:	PUNCT
ap-656	153	14	young	young	ADJ
ap-656	153	15	’s	’s	PART
ap-656	153	16	modulus	modulus	NOUN
ap-656	153	17	of	of	ADP
ap-656	153	18	fiber	fiber	NOUN
ap-656	153	19	ef	ef	PROPN
ap-656	153	20	�	�	PROPN
ap-656	153	21	210	210	NUM
ap-656	153	22	mpa	mpa	PROPN
ap-656	153	23	,	,	PUNCT
ap-656	153	24	poisson	poisson	PROPN
ap-656	153	25	’s	’s	PART
ap-656	153	26	ratio	ratio	PROPN
ap-656	153	27	�	�	PROPN
ap-656	153	28	f	f	PROPN
ap-656	153	29	�	�	PROPN
ap-656	153	30	0.16;	0.16;	PROPN
ap-656	153	31	for	for	ADP
ap-656	153	32	the	the	DET
ap-656	153	33	matrix	matrix	NOUN
ap-656	153	34	em	em	PRON
ap-656	153	35	�	�	PROPN
ap-656	153	36	17	17	NUM
ap-656	153	37	mpa	mpa	PROPN
ap-656	153	38	,	,	PUNCT
ap-656	153	39	and	and	CCONJ
ap-656	153	40	�	�	PROPN
ap-656	153	41	m	m	NOUN
ap-656	153	42	�	�	PROPN
ap-656	153	43	0.3	0.3	NUM
ap-656	153	44	.	.	PUNCT
ap-656	154	1	for	for	ADP
ap-656	154	2	a	a	DET
ap-656	154	3	fiber	fiber	NOUN
ap-656	154	4	volume	volume	NOUN
ap-656	154	5	ratio	ratio	NOUN
ap-656	154	6	0.6	0.6	NUM
ap-656	154	7	,	,	PUNCT
ap-656	154	8	the	the	DET
ap-656	154	9	radius	radius	NOUN
ap-656	154	10	of	of	ADP
ap-656	154	11	the	the	DET
ap-656	154	12	fiber	fiber	NOUN
ap-656	154	13	is	be	AUX
ap-656	154	14	r	r	NOUN
ap-656	154	15	�	�	PROPN
ap-656	154	16	0.714	0.714	NUM
ap-656	154	17	.	.	PUNCT
ap-656	155	1	the	the	DET
ap-656	155	2	homogenized	homogenized	ADJ
ap-656	155	3	elastic	elastic	ADJ
ap-656	155	4	matrix	matrix	NOUN
ap-656	155	5	l	l	NOUN
ap-656	155	6	*	*	PUNCT
ap-656	155	7	in	in	ADP
ap-656	155	8	this	this	DET
ap-656	155	9	case	case	NOUN
ap-656	155	10	possessed	possess	VERB
ap-656	155	11	the	the	DET
ap-656	155	12	following	follow	VERB
ap-656	155	13	values	value	NOUN
ap-656	155	14	:	:	PUNCT
ap-656	155	15	l	l	X
ap-656	155	16	*	*	PUNCT
ap-656	155	17	.	.	PUNCT
ap-656	155	18	.	.	PUNCT
ap-656	155	19	.	.	PUNCT
ap-656	155	20	.	.	PUNCT
ap-656	156	1	�	�	PROPN
ap-656	156	2	�	�	PROPN
ap-656	156	3	�	�	PROPN
ap-656	156	4	�	�	PROPN
ap-656	156	5	�	�	PROPN
ap-656	156	6	�	�	PROPN
ap-656	156	7	�	�	PROPN
ap-656	156	8	�	�	PROPN
ap-656	156	9	�	�	PROPN
ap-656	156	10	�	�	PROPN
ap-656	156	11	�	�	PROPN
ap-656	156	12	�	�	PROPN
ap-656	156	13	�	�	PROPN
ap-656	156	14	�	�	PROPN
ap-656	156	15	182	182	NUM
ap-656	156	16	62	62	NUM
ap-656	156	17	005	005	NUM
ap-656	156	18	62	62	NUM
ap-656	156	19	182	182	NUM
ap-656	156	20	0034	0034	NUM
ap-656	156	21	075	075	NUM
ap-656	156	22	11	11	NUM
ap-656	156	23	98	98	NUM
ap-656	156	24	.	.	PUNCT
ap-656	157	1	from	from	ADP
ap-656	157	2	the	the	DET
ap-656	157	3	above	above	ADJ
ap-656	157	4	matrix	matrix	NOUN
ap-656	157	5	we	we	PRON
ap-656	157	6	can	can	AUX
ap-656	157	7	conclude	conclude	VERB
ap-656	157	8	that	that	SCONJ
ap-656	157	9	the	the	DET
ap-656	157	10	responses	response	NOUN
ap-656	157	11	on	on	ADP
ap-656	157	12	the	the	DET
ap-656	157	13	normal	normal	ADJ
ap-656	157	14	unit	unit	NOUN
ap-656	157	15	strains	strain	NOUN
ap-656	157	16	are	be	AUX
ap-656	157	17	computed	compute	VERB
ap-656	157	18	with	with	ADP
ap-656	157	19	high	high	ADJ
ap-656	157	20	accuracy	accuracy	NOUN
ap-656	157	21	(	(	PUNCT
ap-656	157	22	comparing	compare	VERB
ap-656	157	23	the	the	DET
ap-656	157	24	symmetry	symmetry	NOUN
ap-656	157	25	)	)	PUNCT
ap-656	157	26	,	,	PUNCT
ap-656	157	27	while	while	SCONJ
ap-656	157	28	the	the	DET
ap-656	157	29	results	result	NOUN
ap-656	157	30	from	from	ADP
ap-656	157	31	the	the	DET
ap-656	157	32	shearing	shearing	NOUN
ap-656	157	33	strains	strain	NOUN
ap-656	157	34	are	be	AUX
ap-656	157	35	less	less	ADV
ap-656	157	36	accurate	accurate	ADJ
ap-656	157	37	,	,	PUNCT
ap-656	157	38	but	but	CCONJ
ap-656	157	39	still	still	ADV
ap-656	157	40	very	very	ADV
ap-656	157	41	precise	precise	ADJ
ap-656	157	42	.	.	PUNCT
ap-656	158	1	the	the	DET
ap-656	158	2	angle	angle	NOUN
ap-656	158	3	of	of	ADP
ap-656	158	4	internal	internal	ADJ
ap-656	158	5	friction	friction	NOUN
ap-656	158	6	was	be	AUX
ap-656	158	7	�	�	PROPN
ap-656	158	8	�	�	PROPN
ap-656	158	9	25	25	NUM
ap-656	158	10	°	°	PROPN
ap-656	158	11	,	,	PUNCT
ap-656	158	12	and	and	CCONJ
ap-656	158	13	cohesion	cohesion	NOUN
ap-656	158	14	c	c	PROPN
ap-656	158	15	�	�	PROPN
ap-656	158	16	270	270	NUM
ap-656	158	17	kpa	kpa	PROPN
ap-656	158	18	.	.	PUNCT
ap-656	159	1	the	the	DET
ap-656	159	2	results	result	NOUN
ap-656	159	3	are	be	AUX
ap-656	159	4	depicted	depict	VERB
ap-656	159	5	in	in	ADP
ap-656	159	6	fig	fig	NOUN
ap-656	159	7	.	.	PUNCT
ap-656	160	1	3	3	X
ap-656	160	2	.	.	X
ap-656	160	3	in	in	ADP
ap-656	160	4	the	the	DET
ap-656	160	5	upper	upper	ADJ
ap-656	160	6	and	and	CCONJ
ap-656	160	7	lower	low	ADJ
ap-656	160	8	part	part	NOUN
ap-656	160	9	of	of	ADP
ap-656	160	10	the	the	DET
ap-656	160	11	ilustrations	ilustration	NOUN
ap-656	160	12	damage	damage	NOUN
ap-656	160	13	is	be	AUX
ap-656	160	14	obvious	obvious	ADJ
ap-656	160	15	(	(	PUNCT
ap-656	160	16	debonding	debonding	NOUN
ap-656	160	17	occurred	occur	VERB
ap-656	160	18	)	)	PUNCT
ap-656	160	19	and	and	CCONJ
ap-656	160	20	on	on	ADP
ap-656	160	21	both	both	DET
ap-656	160	22	sides	side	NOUN
ap-656	160	23	viscoelastic	viscoelastic	ADJ
ap-656	160	24	behavior	behavior	NOUN
ap-656	160	25	prevails	prevail	VERB
ap-656	160	26	.	.	PUNCT
ap-656	161	1	the	the	DET
ap-656	161	2	computation	computation	NOUN
ap-656	161	3	was	be	AUX
ap-656	161	4	run	run	VERB
ap-656	161	5	on	on	ADP
ap-656	161	6	pentium	pentium	NOUN
ap-656	161	7	iv	iv	NUM
ap-656	161	8	pc	pc	NOUN
ap-656	161	9	,	,	PUNCT
ap-656	161	10	2.6	2.6	NUM
ap-656	161	11	ghz	ghz	NOUN
ap-656	161	12	in	in	ADP
ap-656	161	13	fortran	fortran	NOUN
ap-656	161	14	.	.	PUNCT
ap-656	162	1	the	the	DET
ap-656	162	2	program	program	NOUN
ap-656	162	3	for	for	ADP
ap-656	162	4	generating	generate	VERB
ap-656	162	5	the	the	DET
ap-656	162	6	meshes	mesh	NOUN
ap-656	162	7	of	of	ADP
ap-656	162	8	the	the	DET
ap-656	162	9	internal	internal	ADJ
ap-656	162	10	cells	cell	NOUN
ap-656	162	11	and	and	CCONJ
ap-656	162	12	also	also	ADV
ap-656	162	13	the	the	DET
ap-656	162	14	boundary	boundary	ADJ
ap-656	162	15	nodes	node	NOUN
ap-656	162	16	had	have	AUX
ap-656	162	17	been	be	AUX
ap-656	162	18	prepared	prepare	VERB
ap-656	162	19	,	,	PUNCT
ap-656	162	20	as	as	SCONJ
ap-656	162	21	is	be	AUX
ap-656	162	22	clearly	clearly	ADV
ap-656	162	23	shown	show	VERB
ap-656	162	24	in	in	ADP
ap-656	162	25	fig	fig	NOUN
ap-656	162	26	.	.	PUNCT
ap-656	163	1	2	2	NUM
ap-656	163	2	.	.	PUNCT
ap-656	163	3	according	accord	VERB
ap-656	163	4	to	to	ADP
ap-656	163	5	the	the	DET
ap-656	163	6	wish	wish	NOUN
ap-656	163	7	of	of	ADP
ap-656	163	8	the	the	DET
ap-656	163	9	user	user	NOUN
ap-656	163	10	,	,	PUNCT
ap-656	163	11	the	the	DET
ap-656	163	12	meshing	meshing	NOUN
ap-656	163	13	can	can	AUX
ap-656	163	14	be	be	AUX
ap-656	163	15	improved	improve	VERB
ap-656	163	16	.	.	PUNCT
ap-656	164	1	the	the	DET
ap-656	164	2	time	time	NOUN
ap-656	164	3	needed	need	VERB
ap-656	164	4	for	for	ADP
ap-656	164	5	computing	compute	VERB
ap-656	164	6	even	even	ADV
ap-656	164	7	a	a	DET
ap-656	164	8	large	large	ADJ
ap-656	164	9	system	system	NOUN
ap-656	164	10	of	of	ADP
ap-656	164	11	equations	equation	NOUN
ap-656	164	12	(	(	PUNCT
ap-656	164	13	150×150	150×150	NUM
ap-656	164	14	)	)	PUNCT
ap-656	164	15	,	,	PUNCT
ap-656	164	16	which	which	PRON
ap-656	164	17	can	can	AUX
ap-656	164	18	be	be	AUX
ap-656	164	19	stored	store	VERB
ap-656	164	20	into	into	ADP
ap-656	164	21	memory	memory	NOUN
ap-656	164	22	without	without	ADP
ap-656	164	23	the	the	DET
ap-656	164	24	use	use	NOUN
ap-656	164	25	of	of	ADP
ap-656	164	26	a	a	DET
ap-656	164	27	hard	hard	ADJ
ap-656	164	28	disc	disc	NOUN
ap-656	164	29	or	or	CCONJ
ap-656	164	30	an	an	DET
ap-656	164	31	extended	extend	VERB
ap-656	164	32	/	/	SYM
ap-656	164	33	expanded	expand	VERB
ap-656	164	34	memory	memory	NOUN
ap-656	164	35	,	,	PUNCT
ap-656	164	36	was	be	AUX
ap-656	164	37	negligible	negligible	ADJ
ap-656	164	38	in	in	ADP
ap-656	164	39	each	each	DET
ap-656	164	40	step	step	NOUN
ap-656	164	41	.	.	PUNCT
ap-656	165	1	our	our	PRON
ap-656	165	2	illustration	illustration	NOUN
ap-656	165	3	does	do	AUX
ap-656	165	4	not	not	PART
ap-656	165	5	reach	reach	VERB
ap-656	165	6	such	such	ADJ
ap-656	165	7	dimensions	dimension	NOUN
ap-656	165	8	of	of	ADP
ap-656	165	9	computation	computation	NOUN
ap-656	165	10	.	.	PUNCT
ap-656	166	1	it	it	PRON
ap-656	166	2	is	be	AUX
ap-656	166	3	also	also	ADV
ap-656	166	4	not	not	PART
ap-656	166	5	necessary	necessary	ADJ
ap-656	166	6	,	,	PUNCT
ap-656	166	7	in	in	ADP
ap-656	166	8	such	such	ADJ
ap-656	166	9	problems	problem	NOUN
ap-656	166	10	,	,	PUNCT
ap-656	166	11	to	to	PART
ap-656	166	12	increase	increase	VERB
ap-656	166	13	the	the	DET
ap-656	166	14	precision	precision	NOUN
ap-656	166	15	of	of	ADP
ap-656	166	16	the	the	DET
ap-656	166	17	meshing	meshing	NOUN
ap-656	166	18	,	,	PUNCT
ap-656	166	19	which	which	PRON
ap-656	166	20	would	would	AUX
ap-656	166	21	reduce	reduce	VERB
ap-656	166	22	the	the	DET
ap-656	166	23	efficiency	efficiency	NOUN
ap-656	166	24	.	.	PUNCT
ap-656	167	1	the	the	DET
ap-656	167	2	iteration	iteration	NOUN
ap-656	167	3	at	at	ADP
ap-656	167	4	each	each	DET
ap-656	167	5	step	step	NOUN
ap-656	167	6	of	of	ADP
ap-656	167	7	loading	loading	NOUN
ap-656	167	8	was	be	AUX
ap-656	167	9	also	also	ADV
ap-656	167	10	very	very	ADV
ap-656	167	11	fast	fast	ADV
ap-656	167	12	.	.	PUNCT
ap-656	168	1	it	it	PRON
ap-656	168	2	is	be	AUX
ap-656	168	3	worth	worth	ADJ
ap-656	168	4	noting	note	VERB
ap-656	168	5	that	that	SCONJ
ap-656	168	6	similar	similar	ADJ
ap-656	168	7	computations	computation	NOUN
ap-656	168	8	were	be	AUX
ap-656	168	9	carried	carry	VERB
ap-656	168	10	out	out	ADP
ap-656	168	11	using	use	VERB
ap-656	168	12	fem	fem	NOUN
ap-656	168	13	,	,	PUNCT
ap-656	168	14	but	but	CCONJ
ap-656	168	15	finer	fine	ADJ
ap-656	168	16	meshing	meshing	NOUN
ap-656	168	17	had	have	VERB
ap-656	168	18	to	to	PART
ap-656	168	19	be	be	AUX
ap-656	168	20	imposed	impose	VERB
ap-656	168	21	to	to	PART
ap-656	168	22	get	get	VERB
ap-656	168	23	comparable	comparable	ADJ
ap-656	168	24	results	result	NOUN
ap-656	168	25	with	with	ADP
ap-656	168	26	bem	bem	PROPN
ap-656	168	27	in	in	ADP
ap-656	168	28	the	the	DET
ap-656	168	29	procedure	procedure	NOUN
ap-656	168	30	presented	present	VERB
ap-656	168	31	here	here	ADV
ap-656	168	32	.	.	PUNCT
ap-656	169	1	the	the	DET
ap-656	169	2	comparison	comparison	NOUN
ap-656	169	3	was	be	AUX
ap-656	169	4	tested	test	VERB
ap-656	169	5	in	in	ADP
ap-656	169	6	such	such	DET
ap-656	169	7	a	a	DET
ap-656	169	8	way	way	NOUN
ap-656	169	9	that	that	PRON
ap-656	169	10	the	the	DET
ap-656	169	11	sum	sum	NOUN
ap-656	169	12	of	of	ADP
ap-656	169	13	the	the	DET
ap-656	169	14	concentration	concentration	NOUN
ap-656	169	15	factors	factor	NOUN
ap-656	169	16	would	would	AUX
ap-656	169	17	be	be	AUX
ap-656	169	18	the	the	DET
ap-656	169	19	unit	unit	NOUN
ap-656	169	20	tensor	tensor	NOUN
ap-656	169	21	.	.	PUNCT
ap-656	170	1	198	198	NUM
ap-656	170	2	©	©	PROPN
ap-656	170	3	czech	czech	PROPN
ap-656	170	4	technical	technical	PROPN
ap-656	170	5	university	university	PROPN
ap-656	170	6	publishing	publishing	NOUN
ap-656	170	7	house	house	NOUN
ap-656	170	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-656	170	9	acta	acta	PROPN
ap-656	170	10	polytechnica	polytechnica	PROPN
ap-656	170	11	vol	vol	NOUN
ap-656	170	12	.	.	PROPN
ap-656	171	1	44	44	NUM
ap-656	171	2	no.5–6/2004	no.5–6/2004	PROPN
ap-656	171	3	fig	fig	NOUN
ap-656	171	4	.	.	PUNCT
ap-656	172	1	2	2	NUM
ap-656	172	2	:	:	PUNCT
ap-656	172	3	geometry	geometry	NOUN
ap-656	172	4	of	of	ADP
ap-656	172	5	boundary	boundary	ADJ
ap-656	172	6	elements	element	NOUN
ap-656	172	7	and	and	CCONJ
ap-656	172	8	internal	internal	ADJ
ap-656	172	9	cells	cell	NOUN
ap-656	172	10	fig	fig	NOUN
ap-656	172	11	.	.	PUNCT
ap-656	173	1	3	3	NUM
ap-656	173	2	:	:	PUNCT
ap-656	173	3	distribution	distribution	NOUN
ap-656	173	4	of	of	ADP
ap-656	173	5	�	�	PROPN
ap-656	173	6	11	11	NUM
ap-656	173	7	and	and	CCONJ
ap-656	173	8	�	�	PROPN
ap-656	173	9	11	11	NUM
ap-656	173	10	8	8	NUM
ap-656	173	11	conclusions	conclusion	NOUN
ap-656	173	12	this	this	DET
ap-656	173	13	paper	paper	NOUN
ap-656	173	14	has	have	AUX
ap-656	173	15	presented	present	VERB
ap-656	173	16	the	the	DET
ap-656	173	17	fundamental	fundamental	ADJ
ap-656	173	18	idea	idea	NOUN
ap-656	173	19	of	of	ADP
ap-656	173	20	a	a	DET
ap-656	173	21	numerical	numerical	ADJ
ap-656	173	22	procedure	procedure	NOUN
ap-656	173	23	leading	lead	VERB
ap-656	173	24	to	to	ADP
ap-656	173	25	the	the	DET
ap-656	173	26	overall	overall	ADJ
ap-656	173	27	viscoelastic	viscoelastic	ADJ
ap-656	173	28	and	and	CCONJ
ap-656	173	29	damage	damage	NOUN
ap-656	173	30	behavior	behavior	NOUN
ap-656	173	31	of	of	ADP
ap-656	173	32	the	the	DET
ap-656	173	33	matrix	matrix	NOUN
ap-656	173	34	in	in	ADP
ap-656	173	35	a	a	DET
ap-656	173	36	composite	composite	ADJ
ap-656	173	37	aggregate	aggregate	NOUN
ap-656	173	38	on	on	ADP
ap-656	173	39	a	a	DET
ap-656	173	40	unit	unit	NOUN
ap-656	173	41	cell	cell	NOUN
ap-656	173	42	.	.	PUNCT
ap-656	174	1	based	base	VERB
ap-656	174	2	on	on	ADP
ap-656	174	3	transformation	transformation	NOUN
ap-656	174	4	field	field	NOUN
ap-656	174	5	analysis	analysis	NOUN
ap-656	174	6	it	it	PRON
ap-656	174	7	is	be	AUX
ap-656	174	8	possible	possible	ADJ
ap-656	174	9	to	to	PART
ap-656	174	10	obtain	obtain	VERB
ap-656	174	11	strain	strain	NOUN
ap-656	174	12	and	and	CCONJ
ap-656	174	13	stress	stress	NOUN
ap-656	174	14	/	/	SYM
ap-656	174	15	strain	strain	NOUN
ap-656	174	16	influence	influence	NOUN
ap-656	174	17	matrices	matrix	NOUN
ap-656	174	18	,	,	PUNCT
ap-656	174	19	that	that	PRON
ap-656	174	20	relate	relate	VERB
ap-656	174	21	the	the	DET
ap-656	174	22	strains	strain	NOUN
ap-656	174	23	and	and	CCONJ
ap-656	174	24	the	the	DET
ap-656	174	25	eigenstrains	eigenstrain	NOUN
ap-656	174	26	and	and	CCONJ
ap-656	174	27	eigenstresses	eigenstresse	VERB
ap-656	174	28	.	.	PUNCT
ap-656	175	1	since	since	SCONJ
ap-656	175	2	this	this	DET
ap-656	175	3	problem	problem	NOUN
ap-656	175	4	leads	lead	VERB
ap-656	175	5	to	to	ADP
ap-656	175	6	integral	integral	ADJ
ap-656	175	7	equations	equation	NOUN
ap-656	175	8	,	,	PUNCT
ap-656	175	9	the	the	DET
ap-656	175	10	most	most	ADV
ap-656	175	11	suitable	suitable	ADJ
ap-656	175	12	numerical	numerical	ADJ
ap-656	175	13	tools	tool	NOUN
ap-656	175	14	appear	appear	VERB
ap-656	175	15	to	to	PART
ap-656	175	16	be	be	AUX
ap-656	175	17	bem	bem	PROPN
ap-656	175	18	.	.	PUNCT
ap-656	176	1	the	the	DET
ap-656	176	2	obvious	obvious	ADJ
ap-656	176	3	advantage	advantage	NOUN
ap-656	176	4	of	of	ADP
ap-656	176	5	this	this	DET
ap-656	176	6	procedure	procedure	NOUN
ap-656	176	7	is	be	AUX
ap-656	176	8	found	find	VERB
ap-656	176	9	in	in	ADP
ap-656	176	10	a	a	DET
ap-656	176	11	priori	priori	ADV
ap-656	176	12	computed	compute	VERB
ap-656	176	13	influence	influence	NOUN
ap-656	176	14	matrices	matrix	NOUN
ap-656	176	15	(	(	PUNCT
ap-656	176	16	concentration	concentration	NOUN
ap-656	176	17	tensors	tensor	NOUN
ap-656	176	18	)	)	PUNCT
ap-656	176	19	.	.	PUNCT
ap-656	177	1	these	these	PRON
ap-656	177	2	may	may	AUX
ap-656	177	3	be	be	AUX
ap-656	177	4	stored	store	VERB
ap-656	177	5	into	into	ADP
ap-656	177	6	a	a	DET
ap-656	177	7	computer	computer	NOUN
ap-656	177	8	and	and	CCONJ
ap-656	177	9	,	,	PUNCT
ap-656	177	10	hence	hence	ADV
ap-656	177	11	,	,	PUNCT
ap-656	177	12	the	the	DET
ap-656	177	13	iteration	iteration	NOUN
ap-656	177	14	process	process	NOUN
ap-656	177	15	for	for	ADP
ap-656	177	16	solving	solve	VERB
ap-656	177	17	the	the	DET
ap-656	177	18	nonlinear	nonlinear	ADJ
ap-656	177	19	material	material	NOUN
ap-656	177	20	behavior	behavior	NOUN
ap-656	177	21	of	of	ADP
ap-656	177	22	the	the	DET
ap-656	177	23	structures	structure	NOUN
ap-656	177	24	is	be	AUX
ap-656	177	25	very	very	ADV
ap-656	177	26	efficient	efficient	ADJ
ap-656	177	27	.	.	PUNCT
ap-656	178	1	moreover	moreover	ADV
ap-656	178	2	,	,	PUNCT
ap-656	178	3	attention	attention	NOUN
ap-656	178	4	may	may	AUX
ap-656	178	5	be	be	AUX
ap-656	178	6	focused	focus	VERB
ap-656	178	7	on	on	ADP
ap-656	178	8	integrals	integral	NOUN
ap-656	178	9	over	over	ADP
ap-656	178	10	either	either	CCONJ
ap-656	178	11	the	the	DET
ap-656	178	12	matrix	matrix	NOUN
ap-656	178	13	or	or	CCONJ
ap-656	178	14	the	the	DET
ap-656	178	15	fiber	fiber	NOUN
ap-656	178	16	.	.	PUNCT
ap-656	179	1	a	a	DET
ap-656	179	2	very	very	ADV
ap-656	179	3	important	important	ADJ
ap-656	179	4	property	property	NOUN
ap-656	179	5	of	of	ADP
ap-656	179	6	the	the	DET
ap-656	179	7	above	above	ADJ
ap-656	179	8	procedure	procedure	NOUN
ap-656	179	9	is	be	AUX
ap-656	179	10	the	the	DET
ap-656	179	11	linearity	linearity	NOUN
ap-656	179	12	of	of	ADP
ap-656	179	13	the	the	DET
ap-656	179	14	problem	problem	NOUN
ap-656	179	15	at	at	ADP
ap-656	179	16	each	each	DET
ap-656	179	17	stage	stage	NOUN
ap-656	179	18	.	.	PUNCT
ap-656	180	1	the	the	DET
ap-656	180	2	accuracy	accuracy	NOUN
ap-656	180	3	of	of	ADP
ap-656	180	4	the	the	DET
ap-656	180	5	overall	overall	ADJ
ap-656	180	6	stiffness	stiffness	NOUN
ap-656	180	7	(	(	PUNCT
ap-656	180	8	compliance	compliance	NOUN
ap-656	180	9	)	)	PUNCT
ap-656	180	10	matrix	matrix	NOUN
ap-656	180	11	is	be	AUX
ap-656	180	12	not	not	PART
ap-656	180	13	dependent	dependent	ADJ
ap-656	180	14	on	on	ADP
ap-656	180	15	the	the	DET
ap-656	180	16	size	size	NOUN
ap-656	180	17	of	of	ADP
ap-656	180	18	the	the	DET
ap-656	180	19	step	step	NOUN
ap-656	180	20	,	,	PUNCT
ap-656	180	21	providing	provide	VERB
ap-656	180	22	there	there	PRON
ap-656	180	23	is	be	VERB
ap-656	180	24	no	no	DET
ap-656	180	25	“	"	PUNCT
ap-656	180	26	unwanted	unwanted	ADJ
ap-656	180	27	”	"	PUNCT
ap-656	180	28	unloading	unloading	NOUN
ap-656	180	29	in	in	ADP
ap-656	180	30	any	any	DET
ap-656	180	31	internal	internal	ADJ
ap-656	180	32	cell	cell	NOUN
ap-656	180	33	at	at	ADP
ap-656	180	34	the	the	DET
ap-656	180	35	current	current	ADJ
ap-656	180	36	stage	stage	NOUN
ap-656	180	37	.	.	PUNCT
ap-656	181	1	when	when	SCONJ
ap-656	181	2	this	this	PRON
ap-656	181	3	is	be	AUX
ap-656	181	4	the	the	DET
ap-656	181	5	case	case	NOUN
ap-656	181	6	,	,	PUNCT
ap-656	181	7	the	the	DET
ap-656	181	8	time	time	NOUN
ap-656	181	9	is	be	AUX
ap-656	181	10	slightly	slightly	ADV
ap-656	181	11	extended	extend	VERB
ap-656	181	12	,	,	PUNCT
ap-656	181	13	as	as	SCONJ
ap-656	181	14	the	the	DET
ap-656	181	15	standard	standard	ADJ
ap-656	181	16	iterative	iterative	NOUN
ap-656	181	17	process	process	NOUN
ap-656	181	18	has	have	VERB
ap-656	181	19	to	to	PART
ap-656	181	20	be	be	AUX
ap-656	181	21	carried	carry	VERB
ap-656	181	22	out	out	ADP
ap-656	181	23	.	.	PUNCT
ap-656	182	1	this	this	PRON
ap-656	182	2	was	be	AUX
ap-656	182	3	not	not	PART
ap-656	182	4	the	the	DET
ap-656	182	5	case	case	NOUN
ap-656	182	6	for	for	ADP
ap-656	182	7	our	our	PRON
ap-656	182	8	computations	computation	NOUN
ap-656	182	9	.	.	PUNCT
ap-656	183	1	although	although	SCONJ
ap-656	183	2	it	it	PRON
ap-656	183	3	is	be	AUX
ap-656	183	4	not	not	PART
ap-656	183	5	our	our	PRON
ap-656	183	6	intention	intention	NOUN
ap-656	183	7	to	to	PART
ap-656	183	8	discuss	discuss	VERB
ap-656	183	9	cases	case	NOUN
ap-656	183	10	of	of	ADP
ap-656	183	11	eigenstrain	eigenstrain	NOUN
ap-656	183	12	fields	field	NOUN
ap-656	183	13	,	,	PUNCT
ap-656	183	14	it	it	PRON
ap-656	183	15	is	be	AUX
ap-656	183	16	appropriate	appropriate	ADJ
ap-656	183	17	to	to	PART
ap-656	183	18	mention	mention	VERB
ap-656	183	19	the	the	DET
ap-656	183	20	connection	connection	NOUN
ap-656	183	21	between	between	ADP
ap-656	183	22	the	the	DET
ap-656	183	23	present	present	ADJ
ap-656	183	24	formulas	formula	NOUN
ap-656	183	25	and	and	CCONJ
ap-656	183	26	those	those	PRON
ap-656	183	27	obtained	obtain	VERB
ap-656	183	28	in	in	ADP
ap-656	183	29	studies	study	NOUN
ap-656	183	30	of	of	ADP
ap-656	183	31	the	the	DET
ap-656	183	32	thermoelastic	thermoelastic	ADJ
ap-656	183	33	response	response	NOUN
ap-656	183	34	in	in	ADP
ap-656	183	35	composite	composite	ADJ
ap-656	183	36	materials	material	NOUN
ap-656	183	37	subjected	subject	VERB
ap-656	183	38	to	to	ADP
ap-656	183	39	a	a	DET
ap-656	183	40	uniform	uniform	ADJ
ap-656	183	41	change	change	NOUN
ap-656	183	42	of	of	ADP
ap-656	183	43	temperature	temperature	NOUN
ap-656	183	44	.	.	PUNCT
ap-656	184	1	9	9	NUM
ap-656	184	2	acknowledgment	acknowledgment	NOUN
ap-656	184	3	this	this	DET
ap-656	184	4	paper	paper	NOUN
ap-656	184	5	was	be	AUX
ap-656	184	6	supported	support	VERB
ap-656	184	7	by	by	ADP
ap-656	184	8	gačr	gačr	NOUN
ap-656	184	9	,	,	PUNCT
ap-656	184	10	grant	grant	VERB
ap-656	184	11	no	no	INTJ
ap-656	184	12	.	.	PUNCT
ap-656	185	1	103/04/1178	103/04/1178	NUM
ap-656	185	2	and	and	CCONJ
ap-656	185	3	partially	partially	ADV
ap-656	185	4	by	by	ADP
ap-656	185	5	research	research	NOUN
ap-656	185	6	project	project	NOUN
ap-656	185	7	msm	msm	NOUN
ap-656	185	8	210000001	210000001	NUM
ap-656	185	9	.	.	PUNCT
ap-656	186	1	references	reference	NOUN
ap-656	186	2	[	[	X
ap-656	186	3	1	1	NUM
ap-656	186	4	]	]	PUNCT
ap-656	186	5	ponte	ponte	NOUN
ap-656	186	6	casta	casta	PROPN
ap-656	186	7	eda	eda	PROPN
ap-656	186	8	p.	p.	NOUN
ap-656	186	9	:	:	PUNCT
ap-656	187	1	“	"	PUNCT
ap-656	187	2	the	the	DET
ap-656	187	3	effective	effective	ADJ
ap-656	187	4	mechanical	mechanical	ADJ
ap-656	187	5	properties	property	NOUN
ap-656	187	6	of	of	ADP
ap-656	187	7	nonlinear	nonlinear	ADJ
ap-656	187	8	isotropic	isotropic	ADJ
ap-656	187	9	composites	composite	NOUN
ap-656	187	10	.	.	PUNCT
ap-656	187	11	”	"	PUNCT
ap-656	188	1	j.	j.	PROPN
ap-656	188	2	mech	mech	PROPN
ap-656	188	3	.	.	PUNCT
ap-656	189	1	phys	phy	NOUN
ap-656	189	2	.	.	PUNCT
ap-656	190	1	solids	solid	NOUN
ap-656	190	2	,	,	PUNCT
ap-656	190	3	vol	vol	NOUN
ap-656	190	4	.	.	PROPN
ap-656	190	5	39	39	NUM
ap-656	190	6	(	(	PUNCT
ap-656	190	7	1991	1991	NUM
ap-656	190	8	)	)	PUNCT
ap-656	190	9	,	,	PUNCT
ap-656	190	10	p.	p.	NOUN
ap-656	190	11	5–71	5–71	NOUN
ap-656	190	12	.	.	PUNCT
ap-656	191	1	[	[	X
ap-656	191	2	2	2	NUM
ap-656	191	3	]	]	PUNCT
ap-656	191	4	ponte	ponte	NOUN
ap-656	191	5	casta	casta	PROPN
ap-656	191	6	eda	eda	PROPN
ap-656	191	7	p.	p.	PROPN
ap-656	191	8	,	,	PUNCT
ap-656	191	9	suquet	suquet	PROPN
ap-656	191	10	p.	p.	NOUN
ap-656	191	11	:	:	PUNCT
ap-656	191	12	“	"	PUNCT
ap-656	191	13	nonlinear	nonlinear	ADJ
ap-656	191	14	composites	composite	NOUN
ap-656	191	15	.	.	PUNCT
ap-656	191	16	”	"	PUNCT
ap-656	192	1	adv	adv	PROPN
ap-656	192	2	.	.	PUNCT
ap-656	192	3	appl	appl	PROPN
ap-656	192	4	.	.	PROPN
ap-656	192	5	mech	mech	PROPN
ap-656	192	6	.	.	PUNCT
ap-656	192	7	,	,	PUNCT
ap-656	193	1	vol	vol	NOUN
ap-656	193	2	.	.	PUNCT
ap-656	194	1	34	34	NUM
ap-656	194	2	(	(	PUNCT
ap-656	194	3	1998	1998	NUM
ap-656	194	4	)	)	PUNCT
ap-656	194	5	,	,	PUNCT
ap-656	195	1	p.	p.	NOUN
ap-656	195	2	171–302	171–302	NUM
ap-656	195	3	.	.	PUNCT
ap-656	196	1	[	[	X
ap-656	196	2	3	3	NUM
ap-656	196	3	]	]	PUNCT
ap-656	196	4	ponte	ponte	NOUN
ap-656	196	5	casta	casta	PROPN
ap-656	196	6	eda	eda	PROPN
ap-656	196	7	p.	p.	PROPN
ap-656	196	8	,	,	PUNCT
ap-656	196	9	willis	willis	PROPN
ap-656	196	10	j.	j.	PROPN
ap-656	196	11	:	:	PUNCT
ap-656	196	12	“	"	PUNCT
ap-656	196	13	the	the	DET
ap-656	196	14	effect	effect	NOUN
ap-656	196	15	of	of	ADP
ap-656	196	16	spatial	spatial	ADJ
ap-656	196	17	distribution	distribution	NOUN
ap-656	196	18	on	on	ADP
ap-656	196	19	the	the	DET
ap-656	196	20	effective	effective	ADJ
ap-656	196	21	behavior	behavior	NOUN
ap-656	196	22	of	of	ADP
ap-656	196	23	composites	composite	NOUN
ap-656	196	24	-	-	PUNCT
ap-656	196	25	materials	material	NOUN
ap-656	196	26	and	and	CCONJ
ap-656	196	27	cracked	crack	VERB
ap-656	196	28	media	medium	NOUN
ap-656	196	29	.	.	PUNCT
ap-656	196	30	”	"	PUNCT
ap-656	197	1	j.	j.	PROPN
ap-656	197	2	mech	mech	PROPN
ap-656	197	3	.	.	PUNCT
ap-656	198	1	phys	phy	NOUN
ap-656	198	2	.	.	PUNCT
ap-656	199	1	solids	solid	NOUN
ap-656	199	2	,	,	PUNCT
ap-656	199	3	vol	vol	NOUN
ap-656	199	4	.	.	PROPN
ap-656	200	1	43	43	NUM
ap-656	200	2	(	(	PUNCT
ap-656	200	3	1995	1995	NUM
ap-656	200	4	)	)	PUNCT
ap-656	200	5	,	,	PUNCT
ap-656	201	1	no	no	INTJ
ap-656	201	2	.	.	NOUN
ap-656	201	3	12	12	NUM
ap-656	201	4	,	,	PUNCT
ap-656	201	5	p.	p.	NOUN
ap-656	201	6	1919–1951	1919–1951	NUM
ap-656	201	7	.	.	PUNCT
ap-656	202	1	[	[	X
ap-656	202	2	4	4	X
ap-656	202	3	]	]	PUNCT
ap-656	202	4	šejnoha	šejnoha	X
ap-656	202	5	m.	m.	NOUN
ap-656	202	6	,	,	PUNCT
ap-656	202	7	zeman	zeman	PROPN
ap-656	202	8	j.	j.	PROPN
ap-656	202	9	,	,	PUNCT
ap-656	202	10	šejnoha	šejnoha	PROPN
ap-656	202	11	j.	j.	PROPN
ap-656	202	12	:	:	PUNCT
ap-656	202	13	“	"	PUNCT
ap-656	202	14	evaluation	evaluation	NOUN
ap-656	202	15	of	of	ADP
ap-656	202	16	effective	effective	ADJ
ap-656	202	17	thermoelastic	thermoelastic	ADJ
ap-656	202	18	properties	property	NOUN
ap-656	202	19	of	of	ADP
ap-656	202	20	random	random	ADJ
ap-656	202	21	fibrous	fibrous	ADJ
ap-656	202	22	composites	composite	NOUN
ap-656	202	23	.	.	PUNCT
ap-656	202	24	”	"	PUNCT
ap-656	203	1	engineering	engineer	VERB
ap-656	203	2	modelling	modelling	NOUN
ap-656	203	3	,	,	PUNCT
ap-656	203	4	vol	vol	NOUN
ap-656	203	5	.	.	PROPN
ap-656	203	6	13	13	NUM
ap-656	203	7	(	(	PUNCT
ap-656	203	8	2000	2000	NUM
ap-656	203	9	)	)	PUNCT
ap-656	203	10	,	,	PUNCT
ap-656	203	11	p.	p.	NOUN
ap-656	203	12	61–68	61–68	NUM
ap-656	203	13	.	.	PUNCT
ap-656	204	1	[	[	X
ap-656	204	2	5	5	X
ap-656	204	3	]	]	X
ap-656	204	4	zeman	zeman	PROPN
ap-656	204	5	j.	j.	PROPN
ap-656	204	6	,	,	PUNCT
ap-656	204	7	šejnoha	šejnoha	PROPN
ap-656	204	8	j.	j.	PROPN
ap-656	204	9	,	,	PUNCT
ap-656	204	10	šejnoha	šejnoha	PROPN
ap-656	204	11	m.	m.	NOUN
ap-656	204	12	:	:	PUNCT
ap-656	204	13	“	"	PUNCT
ap-656	204	14	effective	effective	ADJ
ap-656	204	15	properties	property	NOUN
ap-656	204	16	of	of	ADP
ap-656	204	17	statistically	statistically	ADV
ap-656	204	18	homogeneous	homogeneous	ADJ
ap-656	204	19	random	random	ADJ
ap-656	204	20	composites	composite	NOUN
ap-656	204	21	.	.	PUNCT
ap-656	204	22	”	"	PUNCT
ap-656	205	1	advances	advance	NOUN
ap-656	205	2	in	in	ADP
ap-656	205	3	composite	composite	ADJ
ap-656	205	4	materials	material	NOUN
ap-656	205	5	and	and	CCONJ
ap-656	205	6	structures	structure	NOUN
ap-656	205	7	vii	vii	PROPN
ap-656	205	8	.	.	PROPN
ap-656	205	9	southampton	southampton	PROPN
ap-656	205	10	:	:	PUNCT
ap-656	205	11	wit	wit	ADJ
ap-656	205	12	press	press	NOUN
ap-656	205	13	,	,	PUNCT
ap-656	205	14	2000	2000	NUM
ap-656	205	15	,	,	PUNCT
ap-656	205	16	p.	p.	NOUN
ap-656	205	17	143–152	143–152	NUM
ap-656	205	18	.	.	PUNCT
ap-656	206	1	[	[	X
ap-656	206	2	6	6	NUM
ap-656	206	3	]	]	PUNCT
ap-656	206	4	šejnoha	šejnoha	X
ap-656	206	5	m.	m.	NOUN
ap-656	206	6	,	,	PUNCT
ap-656	206	7	šejnoha	šejnoha	PROPN
ap-656	207	1	j.	j.	PROPN
ap-656	207	2	,	,	PUNCT
ap-656	207	3	zeman	zeman	PROPN
ap-656	207	4	j.	j.	PROPN
ap-656	207	5	:	:	PUNCT
ap-656	207	6	“	"	PUNCT
ap-656	207	7	inelastic	inelastic	ADJ
ap-656	207	8	response	response	NOUN
ap-656	207	9	of	of	ADP
ap-656	207	10	random	random	ADJ
ap-656	207	11	fibrous	fibrous	ADJ
ap-656	207	12	composites	composite	NOUN
ap-656	207	13	.	.	PUNCT
ap-656	207	14	”	"	PUNCT
ap-656	208	1	contemporary	contemporary	ADJ
ap-656	208	2	research	research	NOUN
ap-656	208	3	in	in	ADP
ap-656	208	4	theoretical	theoretical	ADJ
ap-656	208	5	and	and	CCONJ
ap-656	208	6	applied	applied	ADJ
ap-656	208	7	mechanics	mechanic	NOUN
ap-656	208	8	.	.	PUNCT
ap-656	209	1	blacksburg	blacksburg	PROPN
ap-656	209	2	,	,	PUNCT
ap-656	209	3	va	va	PROPN
ap-656	209	4	:	:	PUNCT
ap-656	209	5	virginia	virginia	PROPN
ap-656	209	6	polytechnic	polytechnic	PROPN
ap-656	209	7	institute	institute	PROPN
ap-656	209	8	and	and	CCONJ
ap-656	209	9	state	state	PROPN
ap-656	209	10	university	university	PROPN
ap-656	209	11	,	,	PUNCT
ap-656	209	12	2002	2002	NUM
ap-656	209	13	,	,	PUNCT
ap-656	209	14	p.	p.	NOUN
ap-656	209	15	214	214	NUM
ap-656	209	16	.	.	PUNCT
ap-656	210	1	[	[	X
ap-656	210	2	7	7	X
ap-656	210	3	]	]	X
ap-656	210	4	šejnoha	šejnoha	PROPN
ap-656	210	5	j.	j.	PROPN
ap-656	210	6	,	,	PUNCT
ap-656	210	7	šejnoha	šejnoha	PROPN
ap-656	210	8	m.	m.	NOUN
ap-656	210	9	:	:	PUNCT
ap-656	210	10	“	"	PUNCT
ap-656	210	11	multi	multi	ADJ
ap-656	210	12	-	-	NOUN
ap-656	210	13	scale	scale	ADJ
ap-656	210	14	modeling	modeling	NOUN
ap-656	210	15	of	of	ADP
ap-656	210	16	composites	composite	NOUN
ap-656	210	17	with	with	ADP
ap-656	210	18	randomly	randomly	ADV
ap-656	210	19	distributed	distribute	VERB
ap-656	210	20	phases	phase	NOUN
ap-656	210	21	.	.	PUNCT
ap-656	211	1	theoretical	theoretical	ADJ
ap-656	211	2	and	and	CCONJ
ap-656	211	3	applied	applied	ADJ
ap-656	211	4	mechanics	mechanic	NOUN
ap-656	211	5	.	.	PUNCT
ap-656	211	6	”	"	PUNCT
ap-656	211	7	sofia	sofia	PROPN
ap-656	211	8	:	:	PUNCT
ap-656	211	9	bulgarian	bulgarian	PROPN
ap-656	211	10	academy	academy	PROPN
ap-656	211	11	of	of	ADP
ap-656	211	12	sciences	sciences	PROPN
ap-656	211	13	demetera	demetera	PROPN
ap-656	211	14	ltd	ltd	PROPN
ap-656	211	15	.	.	PROPN
ap-656	211	16	,	,	PUNCT
ap-656	211	17	2001	2001	NUM
ap-656	211	18	,	,	PUNCT
ap-656	212	1	p.	p.	NOUN
ap-656	212	2	141–152	141–152	NUM
ap-656	212	3	.	.	PUNCT
ap-656	213	1	[	[	X
ap-656	213	2	8	8	NUM
ap-656	213	3	]	]	X
ap-656	213	4	procházka	procházka	PROPN
ap-656	213	5	p.	p.	PROPN
ap-656	213	6	,	,	PUNCT
ap-656	213	7	šejnoha	šejnoha	PROPN
ap-656	213	8	j.	j.	PROPN
ap-656	213	9	:	:	PUNCT
ap-656	213	10	“	"	PUNCT
ap-656	213	11	thebem	thebem	ADJ
ap-656	213	12	formulation	formulation	NOUN
ap-656	213	13	of	of	ADP
ap-656	213	14	statistically	statistically	ADV
ap-656	213	15	distributed	distribute	VERB
ap-656	213	16	fibers	fiber	NOUN
ap-656	213	17	in	in	ADP
ap-656	213	18	composites	composite	NOUN
ap-656	213	19	.	.	PUNCT
ap-656	213	20	”	"	PUNCT
ap-656	214	1	betech	betech	PROPN
ap-656	214	2	xxii	xxii	PROPN
ap-656	214	3	,	,	PUNCT
ap-656	214	4	cambridge	cambridge	PROPN
ap-656	214	5	:	:	PUNCT
ap-656	214	6	wit	wit	ADJ
ap-656	214	7	press	press	NOUN
ap-656	214	8	,	,	PUNCT
ap-656	214	9	2000	2000	NUM
ap-656	214	10	,	,	PUNCT
ap-656	214	11	p.	p.	NOUN
ap-656	214	12	339–350	339–350	NUM
ap-656	214	13	.	.	PUNCT
ap-656	215	1	[	[	X
ap-656	215	2	9	9	NUM
ap-656	215	3	]	]	X
ap-656	215	4	procházka	procházka	PROPN
ap-656	215	5	p.	p.	PROPN
ap-656	215	6	,	,	PUNCT
ap-656	215	7	šejnoha	šejnoha	PROPN
ap-656	215	8	j.	j.	PROPN
ap-656	215	9	:	:	PUNCT
ap-656	215	10	“	"	PUNCT
ap-656	215	11	a	a	DET
ap-656	215	12	bem	bem	NOUN
ap-656	215	13	formulation	formulation	NOUN
ap-656	215	14	for	for	ADP
ap-656	215	15	homogenization	homogenization	NOUN
ap-656	215	16	of	of	ADP
ap-656	215	17	composites	composite	NOUN
ap-656	215	18	with	with	ADP
ap-656	215	19	randomly	randomly	ADV
ap-656	215	20	distributed	distribute	VERB
ap-656	215	21	fibers	fiber	NOUN
ap-656	215	22	.	.	PUNCT
ap-656	215	23	”	"	PUNCT
ap-656	216	1	engineering	engineer	VERB
ap-656	216	2	analysis	analysis	NOUN
ap-656	216	3	with	with	ADP
ap-656	216	4	boundary	boundary	ADJ
ap-656	216	5	elements	element	NOUN
ap-656	216	6	.	.	PUNCT
ap-656	217	1	vol	vol	NOUN
ap-656	217	2	.	.	PUNCT
ap-656	218	1	71	71	NUM
ap-656	218	2	(	(	PUNCT
ap-656	218	3	2003	2003	NUM
ap-656	218	4	)	)	PUNCT
ap-656	218	5	,	,	PUNCT
ap-656	218	6	p.	p.	NOUN
ap-656	218	7	137–144	137–144	NUM
ap-656	218	8	.	.	PUNCT
ap-656	219	1	[	[	X
ap-656	219	2	10	10	NUM
ap-656	219	3	]	]	X
ap-656	219	4	laws	law	NOUN
ap-656	219	5	n.	n.	NOUN
ap-656	219	6	:	:	PUNCT
ap-656	219	7	“	"	PUNCT
ap-656	219	8	on	on	ADP
ap-656	219	9	the	the	DET
ap-656	219	10	thermostatics	thermostatic	NOUN
ap-656	219	11	of	of	ADP
ap-656	219	12	composite	composite	ADJ
ap-656	219	13	materials	material	NOUN
ap-656	219	14	.	.	PUNCT
ap-656	219	15	”	"	PUNCT
ap-656	220	1	j.	j.	PROPN
ap-656	220	2	mech	mech	PROPN
ap-656	220	3	.	.	PUNCT
ap-656	221	1	phys	phy	NOUN
ap-656	221	2	.	.	PUNCT
ap-656	222	1	solids	solid	NOUN
ap-656	222	2	,	,	PUNCT
ap-656	222	3	vol	vol	NOUN
ap-656	222	4	.	.	PROPN
ap-656	222	5	21	21	NUM
ap-656	222	6	(	(	PUNCT
ap-656	222	7	1973	1973	NUM
ap-656	222	8	)	)	PUNCT
ap-656	222	9	,	,	PUNCT
ap-656	222	10	p.	p.	NOUN
ap-656	222	11	9–17	9–17	PROPN
ap-656	222	12	.	.	PUNCT
ap-656	223	1	[	[	X
ap-656	223	2	11	11	NUM
ap-656	223	3	]	]	X
ap-656	223	4	dvorak	dvorak	PROPN
ap-656	223	5	g.	g.	PROPN
ap-656	223	6	:	:	PUNCT
ap-656	223	7	“	"	PUNCT
ap-656	223	8	transformation	transformation	NOUN
ap-656	223	9	field	field	NOUN
ap-656	223	10	analysis	analysis	NOUN
ap-656	223	11	of	of	ADP
ap-656	223	12	inelastic	inelastic	ADJ
ap-656	223	13	composite	composite	ADJ
ap-656	223	14	materials	material	NOUN
ap-656	223	15	.	.	PUNCT
ap-656	223	16	”	"	PUNCT
ap-656	223	17	proc	proc	NOUN
ap-656	223	18	.	.	PUNCT
ap-656	224	1	royal	royal	ADJ
ap-656	224	2	soc	soc	PROPN
ap-656	224	3	.	.	PUNCT
ap-656	225	1	london	london	PROPN
ap-656	225	2	a	a	DET
ap-656	225	3	,	,	PUNCT
ap-656	225	4	vol	vol	NOUN
ap-656	225	5	.	.	PROPN
ap-656	226	1	437	437	NUM
ap-656	226	2	(	(	PUNCT
ap-656	226	3	1992	1992	NUM
ap-656	226	4	)	)	PUNCT
ap-656	226	5	,	,	PUNCT
ap-656	226	6	p.	p.	NOUN
ap-656	226	7	311–327	311–327	NUM
ap-656	226	8	.	.	PUNCT
ap-656	227	1	[	[	X
ap-656	227	2	12	12	NUM
ap-656	227	3	]	]	X
ap-656	227	4	dvorak	dvorak	PROPN
ap-656	227	5	g.	g.	PROPN
ap-656	227	6	,	,	PUNCT
ap-656	227	7	benveniste	benveniste	VERB
ap-656	227	8	y.	y.	NOUN
ap-656	227	9	:	:	PUNCT
ap-656	227	10	“	"	PUNCT
ap-656	227	11	on	on	ADP
ap-656	227	12	transformation	transformation	NOUN
ap-656	227	13	strains	strain	NOUN
ap-656	227	14	and	and	CCONJ
ap-656	227	15	uniform	uniform	ADJ
ap-656	227	16	fields	field	NOUN
ap-656	227	17	in	in	ADP
ap-656	227	18	multiphase	multiphase	NOUN
ap-656	227	19	elastic	elastic	ADJ
ap-656	227	20	media	medium	NOUN
ap-656	227	21	.	.	PUNCT
ap-656	227	22	”	"	PUNCT
ap-656	228	1	proc	proc	NOUN
ap-656	228	2	.	.	PUNCT
ap-656	229	1	royal	royal	ADJ
ap-656	229	2	soc	soc	PROPN
ap-656	229	3	.	.	PUNCT
ap-656	230	1	london	london	PROPN
ap-656	230	2	a	a	DET
ap-656	230	3	,	,	PUNCT
ap-656	230	4	vol	vol	NOUN
ap-656	230	5	.	.	PROPN
ap-656	231	1	437	437	NUM
ap-656	231	2	(	(	PUNCT
ap-656	231	3	1992	1992	NUM
ap-656	231	4	)	)	PUNCT
ap-656	231	5	,	,	PUNCT
ap-656	232	1	p.	p.	NOUN
ap-656	232	2	291–310	291–310	NUM
ap-656	232	3	.	.	PUNCT
ap-656	233	1	[	[	X
ap-656	233	2	13	13	NUM
ap-656	233	3	]	]	PUNCT
ap-656	233	4	benveniste	benveniste	NOUN
ap-656	233	5	y.	y.	NOUN
ap-656	233	6	:	:	PUNCT
ap-656	233	7	“	"	PUNCT
ap-656	233	8	universal	universal	ADJ
ap-656	233	9	relations	relation	NOUN
ap-656	233	10	in	in	ADP
ap-656	233	11	piezoelectric	piezoelectric	ADJ
ap-656	233	12	composites	composite	NOUN
ap-656	233	13	with	with	ADP
ap-656	233	14	eigenstress	eigenstress	NOUN
ap-656	233	15	and	and	CCONJ
ap-656	233	16	polarization	polarization	NOUN
ap-656	233	17	fields	field	NOUN
ap-656	233	18	.	.	PUNCT
ap-656	233	19	”	"	PUNCT
ap-656	234	1	parts	part	NOUN
ap-656	234	2	i	i	PROPN
ap-656	234	3	and	and	CCONJ
ap-656	234	4	ii	ii	PROPN
ap-656	234	5	.	.	PUNCT
ap-656	235	1	j.	j.	PROPN
ap-656	235	2	applied	apply	VERB
ap-656	235	3	mechanics	mechanic	NOUN
ap-656	235	4	,	,	PUNCT
ap-656	235	5	vol	vol	NOUN
ap-656	235	6	.	.	PROPN
ap-656	236	1	60	60	NUM
ap-656	236	2	(	(	PUNCT
ap-656	236	3	1993	1993	NUM
ap-656	236	4	)	)	PUNCT
ap-656	236	5	,	,	PUNCT
ap-656	237	1	p.	p.	NOUN
ap-656	237	2	265–275	265–275	NUM
ap-656	237	3	.	.	PUNCT
ap-656	238	1	[	[	X
ap-656	238	2	14	14	NUM
ap-656	238	3	]	]	X
ap-656	238	4	procházka	procházka	PROPN
ap-656	238	5	p.	p.	PROPN
ap-656	238	6	,	,	PUNCT
ap-656	238	7	šejnoha	šejnoha	PROPN
ap-656	238	8	j.	j.	PROPN
ap-656	238	9	:	:	PUNCT
ap-656	238	10	“	"	PUNCT
ap-656	238	11	eigenparameters	eigenparameter	VERB
ap-656	238	12	optimization	optimization	NOUN
ap-656	238	13	of	of	ADP
ap-656	238	14	strain	strain	ADJ
ap-656	238	15	energy	energy	NOUN
ap-656	238	16	function	function	NOUN
ap-656	238	17	.	.	PUNCT
ap-656	238	18	”	"	PUNCT
ap-656	239	1	ctu	ctu	PROPN
ap-656	239	2	reports	report	NOUN
ap-656	239	3	prague	prague	PROPN
ap-656	239	4	:	:	PUNCT
ap-656	239	5	ctu	ctu	NOUN
ap-656	239	6	,	,	PUNCT
ap-656	239	7	vol	vol	NOUN
ap-656	239	8	.	.	NOUN
ap-656	239	9	3	3	NUM
ap-656	239	10	(	(	PUNCT
ap-656	239	11	1999	1999	NUM
ap-656	239	12	)	)	PUNCT
ap-656	239	13	,	,	PUNCT
ap-656	239	14	p.	p.	NOUN
ap-656	239	15	129–138	129–138	NUM
ap-656	239	16	.	.	PUNCT
ap-656	240	1	[	[	X
ap-656	240	2	15	15	NUM
ap-656	240	3	]	]	X
ap-656	240	4	procházka	procházka	PROPN
ap-656	240	5	p.	p.	PROPN
ap-656	240	6	,	,	PUNCT
ap-656	240	7	šejnoha	šejnoha	PROPN
ap-656	240	8	j.	j.	PROPN
ap-656	240	9	:	:	PUNCT
ap-656	240	10	“	"	PUNCT
ap-656	240	11	extended	extended	ADJ
ap-656	240	12	hashin	hashin	ADJ
ap-656	240	13	-	-	PUNCT
ap-656	240	14	shtrikman	shtrikman	NOUN
ap-656	240	15	variational	variational	ADJ
ap-656	240	16	principles	principle	NOUN
ap-656	240	17	.	.	PUNCT
ap-656	240	18	”	"	PUNCT
ap-656	240	19	to	to	PART
ap-656	240	20	appear	appear	VERB
ap-656	240	21	in	in	ADP
ap-656	240	22	applications	application	NOUN
ap-656	240	23	of	of	ADP
ap-656	240	24	mathematics	mathematic	NOUN
ap-656	240	25	(	(	PUNCT
ap-656	240	26	2004	2004	NUM
ap-656	240	27	)	)	PUNCT
ap-656	240	28	.	.	PUNCT
ap-656	241	1	[	[	X
ap-656	241	2	16	16	NUM
ap-656	241	3	]	]	X
ap-656	241	4	šejnoha	šejnoha	X
ap-656	241	5	m.	m.	NOUN
ap-656	241	6	,	,	PUNCT
ap-656	241	7	šejnoha	šejnoha	PROPN
ap-656	241	8	j.	j.	PROPN
ap-656	241	9	:	:	PUNCT
ap-656	241	10	“	"	PUNCT
ap-656	241	11	multi	multi	ADJ
ap-656	241	12	-	-	NOUN
ap-656	241	13	scale	scale	ADJ
ap-656	241	14	modeling	modeling	NOUN
ap-656	241	15	of	of	ADP
ap-656	241	16	heterogeneus	heterogeneus	NOUN
ap-656	241	17	materials	material	NOUN
ap-656	241	18	.	.	PUNCT
ap-656	241	19	”	"	PUNCT
ap-656	242	1	slovak	slovak	ADJ
ap-656	242	2	journal	journal	NOUN
ap-656	242	3	of	of	ADP
ap-656	242	4	civil	civil	ADJ
ap-656	242	5	engineering	engineering	NOUN
ap-656	242	6	,	,	PUNCT
ap-656	242	7	vol	vol	NOUN
ap-656	242	8	.	.	PROPN
ap-656	242	9	8	8	NUM
ap-656	242	10	(	(	PUNCT
ap-656	242	11	2000	2000	NUM
ap-656	242	12	)	)	PUNCT
ap-656	242	13	,	,	PUNCT
ap-656	243	1	p.	p.	NOUN
ap-656	243	2	33–44	33–44	NUM
ap-656	243	3	.	.	PUNCT
ap-656	244	1	[	[	X
ap-656	244	2	17	17	NUM
ap-656	244	3	]	]	PUNCT
ap-656	244	4	wierer	wierer	NOUN
ap-656	244	5	m.	m.	NOUN
ap-656	244	6	,	,	PUNCT
ap-656	244	7	šejnoha	šejnoha	PROPN
ap-656	244	8	j.	j.	PROPN
ap-656	244	9	,	,	PUNCT
ap-656	244	10	šejnoha	šejnoha	PROPN
ap-656	244	11	m.	m.	NOUN
ap-656	244	12	:	:	PUNCT
ap-656	244	13	“	"	PUNCT
ap-656	244	14	evaluation	evaluation	NOUN
ap-656	244	15	of	of	ADP
ap-656	244	16	effective	effective	ADJ
ap-656	244	17	properties	property	NOUN
ap-656	244	18	of	of	ADP
ap-656	244	19	woven	weave	VERB
ap-656	244	20	composite	composite	ADJ
ap-656	244	21	tubes	tube	NOUN
ap-656	244	22	.	.	PUNCT
ap-656	244	23	”	"	PUNCT
ap-656	245	1	inženýrská	inženýrská	PROPN
ap-656	245	2	mechanika	mechanika	PROPN
ap-656	245	3	2002	2002	NUM
ap-656	245	4	.	.	PUNCT
ap-656	246	1	brno	brno	NOUN
ap-656	246	2	:	:	PUNCT
ap-656	246	3	institute	institute	NOUN
ap-656	246	4	of	of	ADP
ap-656	246	5	mechanics	mechanic	NOUN
ap-656	246	6	of	of	ADP
ap-656	246	7	solids	solid	NOUN
ap-656	246	8	,	,	PUNCT
ap-656	246	9	faculty	faculty	NOUN
ap-656	246	10	of	of	ADP
ap-656	246	11	mechanical	mechanical	ADJ
ap-656	246	12	engineering	engineering	NOUN
ap-656	246	13	,	,	PUNCT
ap-656	246	14	brno	brno	PROPN
ap-656	246	15	university	university	PROPN
ap-656	246	16	of	of	ADP
ap-656	246	17	technology	technology	NOUN
ap-656	246	18	,	,	PUNCT
ap-656	246	19	2002	2002	NUM
ap-656	246	20	,	,	PUNCT
ap-656	246	21	p.	p.	NOUN
ap-656	246	22	325–326	325–326	NUM
ap-656	246	23	.	.	PUNCT
ap-656	247	1	[	[	X
ap-656	247	2	18	18	NUM
ap-656	247	3	]	]	X
ap-656	247	4	válek	válek	NOUN
ap-656	247	5	m.	m.	NOUN
ap-656	247	6	,	,	PUNCT
ap-656	247	7	procházka	procházka	PROPN
ap-656	247	8	p.	p.	PROPN
ap-656	247	9	,	,	PUNCT
ap-656	247	10	šejnoha	šejnoha	PROPN
ap-656	247	11	j.	j.	PROPN
ap-656	247	12	:	:	PUNCT
ap-656	247	13	“	"	PUNCT
ap-656	247	14	on	on	ADP
ap-656	247	15	a	a	DET
ap-656	247	16	contact	contact	NOUN
ap-656	247	17	problem	problem	NOUN
ap-656	247	18	in	in	ADP
ap-656	247	19	composite	composite	ADJ
ap-656	247	20	materials	material	NOUN
ap-656	247	21	.	.	PUNCT
ap-656	247	22	”	"	PUNCT
ap-656	248	1	computational	computational	ADJ
ap-656	248	2	methods	method	NOUN
ap-656	248	3	in	in	ADP
ap-656	248	4	contact	contact	NOUN
ap-656	248	5	mechanics	mechanic	NOUN
ap-656	248	6	v.	v.	ADP
ap-656	248	7	southampton	southampton	PROPN
ap-656	248	8	:	:	PUNCT
ap-656	248	9	wit	wit	ADJ
ap-656	248	10	press	press	NOUN
ap-656	248	11	,	,	PUNCT
ap-656	248	12	2001	2001	NUM
ap-656	248	13	,	,	PUNCT
ap-656	248	14	p.	p.	NOUN
ap-656	248	15	165–174	165–174	NUM
ap-656	248	16	.	.	PUNCT
ap-656	249	1	[	[	X
ap-656	249	2	19	19	NUM
ap-656	249	3	]	]	PUNCT
ap-656	249	4	šejnoha	šejnoha	X
ap-656	249	5	m.	m.	NOUN
ap-656	249	6	,	,	PUNCT
ap-656	249	7	šejnoha	šejnoha	PROPN
ap-656	249	8	j.	j.	PROPN
ap-656	249	9	,	,	PUNCT
ap-656	249	10	procházka	procházka	ADJ
ap-656	249	11	p.	p.	NOUN
ap-656	249	12	:	:	PUNCT
ap-656	249	13	“	"	PUNCT
ap-656	249	14	modelling	modelling	NOUN
ap-656	249	15	of	of	ADP
ap-656	249	16	interfacial	interfacial	ADJ
ap-656	249	17	separation	separation	NOUN
ap-656	249	18	of	of	ADP
ap-656	249	19	mmc	mmc	PROPN
ap-656	249	20	composites	composite	NOUN
ap-656	249	21	.	.	PUNCT
ap-656	249	22	”	"	PUNCT
ap-656	249	23	journal	journal	NOUN
ap-656	249	24	of	of	ADP
ap-656	249	25	theoretical	theoretical	ADJ
ap-656	249	26	and	and	CCONJ
ap-656	249	27	applied	applied	ADJ
ap-656	249	28	mechanics	mechanic	NOUN
ap-656	249	29	,	,	PUNCT
ap-656	249	30	vol	vol	NOUN
ap-656	249	31	.	.	PROPN
ap-656	249	32	4	4	NUM
ap-656	249	33	(	(	PUNCT
ap-656	249	34	1999	1999	NUM
ap-656	249	35	)	)	PUNCT
ap-656	249	36	,	,	PUNCT
ap-656	250	1	p.	p.	NOUN
ap-656	250	2	23–32	23–32	NUM
ap-656	250	3	.	.	PUNCT
ap-656	251	1	[	[	X
ap-656	251	2	20	20	NUM
ap-656	251	3	]	]	X
ap-656	251	4	krejčí	krejčí	PROPN
ap-656	251	5	t.	t.	PROPN
ap-656	251	6	,	,	PUNCT
ap-656	251	7	šejnoha	šejnoha	PART
ap-656	251	8	m.	m.	NOUN
ap-656	251	9	,	,	PUNCT
ap-656	251	10	šejnoha	šejnoha	PROPN
ap-656	251	11	j.	j.	PROPN
ap-656	251	12	:	:	PUNCT
ap-656	251	13	“	"	PUNCT
ap-656	251	14	modeling	modeling	NOUN
ap-656	251	15	of	of	ADP
ap-656	251	16	time	time	NOUN
ap-656	251	17	dependent	dependent	ADJ
ap-656	251	18	properties	property	NOUN
ap-656	251	19	of	of	ADP
ap-656	251	20	heterogeneous	heterogeneous	ADJ
ap-656	251	21	materials	material	NOUN
ap-656	251	22	.	.	PUNCT
ap-656	251	23	”	"	PUNCT
ap-656	252	1	engineering	engineering	NOUN
ap-656	252	2	mechanics	mechanic	NOUN
ap-656	252	3	2000	2000	NUM
ap-656	252	4	.	.	PUNCT
ap-656	253	1	prague	prague	NOUN
ap-656	253	2	:	:	PUNCT
ap-656	253	3	academy	academy	PROPN
ap-656	253	4	of	of	ADP
ap-656	253	5	sciences	sciences	PROPN
ap-656	253	6	of	of	ADP
ap-656	253	7	the	the	DET
ap-656	253	8	czech	czech	PROPN
ap-656	253	9	republic	republic	NOUN
ap-656	253	10	,	,	PUNCT
ap-656	253	11	institute	institute	NOUN
ap-656	253	12	of	of	ADP
ap-656	253	13	theoretical	theoretical	ADJ
ap-656	253	14	and	and	CCONJ
ap-656	253	15	applied	applied	ADJ
ap-656	253	16	mechanics	mechanic	NOUN
ap-656	253	17	,	,	PUNCT
ap-656	253	18	2000	2000	NUM
ap-656	253	19	,	,	PUNCT
ap-656	253	20	vol	vol	NOUN
ap-656	253	21	.	.	PUNCT
ap-656	254	1	i	i	PRON
ap-656	254	2	,	,	PUNCT
ap-656	254	3	p.	p.	NOUN
ap-656	254	4	175–180	175–180	NUM
ap-656	254	5	.	.	PUNCT
ap-656	255	1	prof	prof	PROPN
ap-656	255	2	.	.	PUNCT
ap-656	256	1	ing	ing	PROPN
ap-656	256	2	.	.	PUNCT
ap-656	257	1	rndr	rndr	PROPN
ap-656	257	2	.	.	PUNCT
ap-656	258	1	petr	petr	PROPN
ap-656	258	2	pavel	pavel	PROPN
ap-656	258	3	procházka	procházka	PROPN
ap-656	258	4	,	,	PUNCT
ap-656	258	5	drsc	drsc	PROPN
ap-656	258	6	.	.	PUNCT
ap-656	259	1	phone	phone	NOUN
ap-656	259	2	:	:	PUNCT
ap-656	259	3	+420224	+420224	NUM
ap-656	259	4	354	354	NUM
ap-656	259	5	480	480	NUM
ap-656	259	6	e	e	NOUN
ap-656	259	7	-	-	NOUN
ap-656	259	8	mail	mail	NOUN
ap-656	259	9	:	:	PUNCT
ap-656	259	10	prochazk@fsv.cvut.cz	prochazk@fsv.cvut.cz	PROPN
ap-656	259	11	department	department	PROPN
ap-656	259	12	of	of	ADP
ap-656	259	13	structural	structural	ADJ
ap-656	259	14	mechanics	mechanic	NOUN
ap-656	259	15	czech	czech	PROPN
ap-656	259	16	technical	technical	PROPN
ap-656	259	17	university	university	PROPN
ap-656	259	18	in	in	ADP
ap-656	259	19	prague	prague	PROPN
ap-656	259	20	faculty	faculty	NOUN
ap-656	259	21	of	of	ADP
ap-656	259	22	civil	civil	ADJ
ap-656	259	23	engineering	engineering	NOUN
ap-656	259	24	thákurova	thákurova	VERB
ap-656	259	25	7	7	NUM
ap-656	259	26	166	166	NUM
ap-656	259	27	29	29	NUM
ap-656	259	28	prague	prague	NOUN
ap-656	259	29	,	,	PUNCT
ap-656	259	30	czech	czech	PROPN
ap-656	259	31	republic	republic	NOUN
ap-656	259	32	©	©	PROPN
ap-656	259	33	czech	czech	PROPN
ap-656	259	34	technical	technical	PROPN
ap-656	259	35	university	university	PROPN
ap-656	259	36	publishing	publishing	NOUN
ap-656	259	37	house	house	NOUN
ap-656	259	38	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-656	259	39	199	199	NUM
ap-656	259	40	acta	acta	PROPN
ap-656	259	41	polytechnica	polytechnica	PROPN
ap-656	259	42	vol	vol	NOUN
ap-656	259	43	.	.	PROPN
ap-656	260	1	44	44	NUM
ap-656	260	2	no.5–6/2004	no.5–6/2004	NOUN