id	sid	tid	token	lemma	pos
fis-1573	1	1	microsoft	microsoft	PROPN
fis-1573	1	2	word	word	PROPN
fis-1573	1	3	numero_34_art_22	numero_34_art_22	INTJ
fis-1573	1	4	p.o	p.o	PROPN
fis-1573	1	5	.	.	PROPN
fis-1573	1	6	judt	judt	PROPN
fis-1573	1	7	et	et	PROPN
fis-1573	1	8	alii	alii	PROPN
fis-1573	1	9	,	,	PUNCT
fis-1573	1	10	frattura	frattura	PROPN
fis-1573	1	11	ed	ed	PROPN
fis-1573	1	12	integrità	integrità	PROPN
fis-1573	1	13	strutturale	strutturale	PROPN
fis-1573	1	14	,	,	PUNCT
fis-1573	1	15	34	34	NUM
fis-1573	1	16	(	(	PUNCT
fis-1573	1	17	2015	2015	NUM
fis-1573	1	18	)	)	PUNCT
fis-1573	1	19	208	208	NUM
fis-1573	1	20	-	-	SYM
fis-1573	1	21	215	215	NUM
fis-1573	1	22	;	;	PUNCT
fis-1573	1	23	doi	doi	NOUN
fis-1573	1	24	:	:	PUNCT
fis-1573	1	25	10.3221	10.3221	NUM
fis-1573	1	26	/	/	SYM
fis-1573	1	27	igf	igf	PROPN
fis-1573	1	28	-	-	ADJ
fis-1573	1	29	esis.34.22	esis.34.22	PROPN
fis-1573	1	30	208	208	NUM
fis-1573	1	31	focussed	focusse	VERB
fis-1573	1	32	on	on	ADP
fis-1573	1	33	crack	crack	NOUN
fis-1573	1	34	paths	path	NOUN
fis-1573	1	35	crack	crack	VERB
fis-1573	1	36	path	path	NOUN
fis-1573	1	37	predictions	prediction	NOUN
fis-1573	1	38	and	and	CCONJ
fis-1573	1	39	experiments	experiment	NOUN
fis-1573	1	40	in	in	ADP
fis-1573	1	41	plane	plane	NOUN
fis-1573	1	42	structures	structure	NOUN
fis-1573	1	43	considering	consider	VERB
fis-1573	1	44	anisotropic	anisotropic	NOUN
fis-1573	1	45	properties	property	NOUN
fis-1573	1	46	and	and	CCONJ
fis-1573	1	47	material	material	NOUN
fis-1573	1	48	interfaces	interface	NOUN
fis-1573	1	49	p.o	p.o	PROPN
fis-1573	1	50	.	.	PROPN
fis-1573	1	51	judt	judt	PROPN
fis-1573	1	52	,	,	PUNCT
fis-1573	1	53	a.	a.	NOUN
fis-1573	1	54	ricoeur	ricoeur	VERB
fis-1573	1	55	university	university	PROPN
fis-1573	1	56	of	of	ADP
fis-1573	1	57	kassel	kassel	PROPN
fis-1573	1	58	,	,	PUNCT
fis-1573	1	59	institute	institute	PROPN
fis-1573	1	60	of	of	ADP
fis-1573	1	61	mechanics	mechanic	NOUN
fis-1573	1	62	,	,	PUNCT
fis-1573	1	63	34125	34125	NUM
fis-1573	1	64	kassel	kassel	PROPN
fis-1573	1	65	,	,	PUNCT
fis-1573	1	66	germany	germany	PROPN
fis-1573	1	67	judt@uni-kassel.de	judt@uni-kassel.de	PROPN
fis-1573	1	68	,	,	PUNCT
fis-1573	1	69	ricoeur@uni-kassel.de	ricoeur@uni-kassel.de	PROPN
fis-1573	1	70	abstract	abstract	NOUN
fis-1573	1	71	.	.	PUNCT
fis-1573	2	1	in	in	ADP
fis-1573	2	2	many	many	ADJ
fis-1573	2	3	engineering	engineering	NOUN
fis-1573	2	4	applications	application	NOUN
fis-1573	2	5	special	special	ADJ
fis-1573	2	6	requirements	requirement	NOUN
fis-1573	2	7	are	be	AUX
fis-1573	2	8	directed	direct	VERB
fis-1573	2	9	to	to	ADP
fis-1573	2	10	a	a	DET
fis-1573	2	11	material	material	NOUN
fis-1573	2	12	's	's	PART
fis-1573	2	13	fracture	fracture	NOUN
fis-1573	2	14	behavior	behavior	NOUN
fis-1573	2	15	and	and	CCONJ
fis-1573	2	16	the	the	DET
fis-1573	2	17	prediction	prediction	NOUN
fis-1573	2	18	of	of	ADP
fis-1573	2	19	crack	crack	NOUN
fis-1573	2	20	paths	path	NOUN
fis-1573	2	21	.	.	PUNCT
fis-1573	3	1	especially	especially	ADV
fis-1573	3	2	if	if	SCONJ
fis-1573	3	3	the	the	DET
fis-1573	3	4	material	material	NOUN
fis-1573	3	5	exhibits	exhibit	VERB
fis-1573	3	6	anisotropic	anisotropic	NOUN
fis-1573	3	7	elastic	elastic	ADJ
fis-1573	3	8	properties	property	NOUN
fis-1573	3	9	or	or	CCONJ
fis-1573	3	10	fracture	fracture	NOUN
fis-1573	3	11	toughnesses	toughness	NOUN
fis-1573	3	12	,	,	PUNCT
fis-1573	3	13	e.g.	e.g.	ADV
fis-1573	3	14	in	in	ADP
fis-1573	3	15	textured	textured	ADJ
fis-1573	3	16	or	or	CCONJ
fis-1573	3	17	composite	composite	ADJ
fis-1573	3	18	materials	material	NOUN
fis-1573	3	19	,	,	PUNCT
fis-1573	3	20	the	the	DET
fis-1573	3	21	simulation	simulation	NOUN
fis-1573	3	22	of	of	ADP
fis-1573	3	23	crack	crack	NOUN
fis-1573	3	24	paths	path	NOUN
fis-1573	3	25	is	be	AUX
fis-1573	3	26	challenging	challenge	VERB
fis-1573	3	27	.	.	PUNCT
fis-1573	4	1	here	here	ADV
fis-1573	4	2	,	,	PUNCT
fis-1573	4	3	the	the	DET
fis-1573	4	4	application	application	NOUN
fis-1573	4	5	of	of	ADP
fis-1573	4	6	path	path	NOUN
fis-1573	4	7	independent	independent	ADJ
fis-1573	4	8	interaction	interaction	NOUN
fis-1573	4	9	integrals	integral	NOUN
fis-1573	4	10	(	(	PUNCT
fis-1573	4	11	i	i	NOUN
fis-1573	4	12	-	-	PUNCT
fis-1573	4	13	integrals	integral	NOUN
fis-1573	4	14	)	)	PUNCT
fis-1573	4	15	,	,	PUNCT
fis-1573	4	16	j-	j-	NOUN
fis-1573	4	17	,	,	PUNCT
fis-1573	4	18	land	land	NOUN
fis-1573	4	19	m	m	NOUN
fis-1573	4	20	-	-	PUNCT
fis-1573	4	21	integrals	integral	NOUN
fis-1573	4	22	is	be	AUX
fis-1573	4	23	beneficial	beneficial	ADJ
fis-1573	4	24	for	for	ADP
fis-1573	4	25	an	an	DET
fis-1573	4	26	accurate	accurate	ADJ
fis-1573	4	27	crack	crack	NOUN
fis-1573	4	28	tip	tip	NOUN
fis-1573	4	29	loading	loading	NOUN
fis-1573	4	30	analysis	analysis	NOUN
fis-1573	4	31	.	.	PUNCT
fis-1573	5	1	numerical	numerical	ADJ
fis-1573	5	2	tools	tool	NOUN
fis-1573	5	3	for	for	ADP
fis-1573	5	4	the	the	DET
fis-1573	5	5	calculation	calculation	NOUN
fis-1573	5	6	of	of	ADP
fis-1573	5	7	loading	loading	NOUN
fis-1573	5	8	quantities	quantity	NOUN
fis-1573	5	9	using	use	VERB
fis-1573	5	10	these	these	DET
fis-1573	5	11	path	path	NOUN
fis-1573	5	12	-	-	PUNCT
fis-1573	5	13	invariant	invariant	ADJ
fis-1573	5	14	integrals	integral	NOUN
fis-1573	5	15	are	be	AUX
fis-1573	5	16	implemented	implement	VERB
fis-1573	5	17	into	into	ADP
fis-1573	5	18	the	the	DET
fis-1573	5	19	commercial	commercial	ADJ
fis-1573	5	20	finite	finite	NOUN
fis-1573	5	21	element	element	NOUN
fis-1573	5	22	(	(	PUNCT
fis-1573	5	23	fe)-code	fe)-code	PROPN
fis-1573	5	24	abaqus	abaqus	NOUN
fis-1573	5	25	.	.	PUNCT
fis-1573	6	1	global	global	ADJ
fis-1573	6	2	approaches	approach	NOUN
fis-1573	6	3	of	of	ADP
fis-1573	6	4	the	the	DET
fis-1573	6	5	integrals	integral	NOUN
fis-1573	6	6	are	be	AUX
fis-1573	6	7	convenient	convenient	ADJ
fis-1573	6	8	considering	consider	VERB
fis-1573	6	9	crack	crack	NOUN
fis-1573	6	10	tips	tip	NOUN
fis-1573	6	11	approaching	approach	VERB
fis-1573	6	12	other	other	ADJ
fis-1573	6	13	crack	crack	NOUN
fis-1573	6	14	faces	face	NOUN
fis-1573	6	15	,	,	PUNCT
fis-1573	6	16	internal	internal	ADJ
fis-1573	6	17	boundaries	boundary	NOUN
fis-1573	6	18	or	or	CCONJ
fis-1573	6	19	material	material	NOUN
fis-1573	6	20	interfaces	interface	NOUN
fis-1573	6	21	.	.	PUNCT
fis-1573	7	1	curved	curved	ADJ
fis-1573	7	2	crack	crack	NOUN
fis-1573	7	3	faces	face	NOUN
fis-1573	7	4	require	require	VERB
fis-1573	7	5	special	special	ADJ
fis-1573	7	6	treatment	treatment	NOUN
fis-1573	7	7	with	with	ADP
fis-1573	7	8	respect	respect	NOUN
fis-1573	7	9	to	to	ADP
fis-1573	7	10	integration	integration	NOUN
fis-1573	7	11	contours	contour	NOUN
fis-1573	7	12	.	.	PUNCT
fis-1573	8	1	numerical	numerical	PROPN
fis-1573	8	2	crack	crack	PROPN
fis-1573	8	3	paths	path	NOUN
fis-1573	8	4	are	be	AUX
fis-1573	8	5	predicted	predict	VERB
fis-1573	8	6	based	base	VERB
fis-1573	8	7	on	on	ADP
fis-1573	8	8	fe	fe	NOUN
fis-1573	8	9	calculations	calculation	NOUN
fis-1573	8	10	of	of	ADP
fis-1573	8	11	the	the	DET
fis-1573	8	12	boundary	boundary	ADJ
fis-1573	8	13	value	value	NOUN
fis-1573	8	14	problem	problem	NOUN
fis-1573	8	15	in	in	ADP
fis-1573	8	16	connection	connection	NOUN
fis-1573	8	17	with	with	ADP
fis-1573	8	18	an	an	DET
fis-1573	8	19	intelligent	intelligent	ADJ
fis-1573	8	20	adaptive	adaptive	ADJ
fis-1573	8	21	re	re	ADJ
fis-1573	8	22	-	-	ADJ
fis-1573	8	23	meshing	meshing	ADJ
fis-1573	8	24	algorithm	algorithm	NOUN
fis-1573	8	25	.	.	PUNCT
fis-1573	9	1	considering	consider	VERB
fis-1573	9	2	fracture	fracture	ADJ
fis-1573	9	3	toughness	toughness	NOUN
fis-1573	9	4	anisotropy	anisotropy	VERB
fis-1573	9	5	and	and	CCONJ
fis-1573	9	6	accounting	account	VERB
fis-1573	9	7	for	for	ADP
fis-1573	9	8	inelastic	inelastic	ADJ
fis-1573	9	9	effects	effect	NOUN
fis-1573	9	10	due	due	ADJ
fis-1573	9	11	to	to	ADP
fis-1573	9	12	small	small	ADJ
fis-1573	9	13	plastic	plastic	NOUN
fis-1573	9	14	zones	zone	NOUN
fis-1573	9	15	in	in	ADP
fis-1573	9	16	the	the	DET
fis-1573	9	17	crack	crack	NOUN
fis-1573	9	18	tip	tip	NOUN
fis-1573	9	19	region	region	NOUN
fis-1573	9	20	,	,	PUNCT
fis-1573	9	21	the	the	DET
fis-1573	9	22	numerically	numerically	ADV
fis-1573	9	23	predicted	predict	VERB
fis-1573	9	24	crack	crack	NOUN
fis-1573	9	25	paths	path	NOUN
fis-1573	9	26	of	of	ADP
fis-1573	9	27	different	different	ADJ
fis-1573	9	28	types	type	NOUN
fis-1573	9	29	of	of	ADP
fis-1573	9	30	specimens	specimen	NOUN
fis-1573	9	31	with	with	ADP
fis-1573	9	32	material	material	NOUN
fis-1573	9	33	interfaces	interface	NOUN
fis-1573	9	34	and	and	CCONJ
fis-1573	9	35	internal	internal	ADJ
fis-1573	9	36	boundaries	boundary	NOUN
fis-1573	9	37	are	be	AUX
fis-1573	9	38	compared	compare	VERB
fis-1573	9	39	to	to	ADP
fis-1573	9	40	subcritically	subcritically	ADV
fis-1573	9	41	grown	grow	VERB
fis-1573	9	42	paths	path	NOUN
fis-1573	9	43	obtained	obtain	VERB
fis-1573	9	44	from	from	ADP
fis-1573	9	45	experiments	experiment	NOUN
fis-1573	9	46	.	.	PUNCT
fis-1573	10	1	keywords	keyword	NOUN
fis-1573	10	2	.	.	PUNCT
fis-1573	11	1	j-,m-,l	j-,m-,l	ADJ
fis-1573	11	2	-	-	PUNCT
fis-1573	11	3	integral	integral	ADJ
fis-1573	11	4	;	;	PUNCT
fis-1573	11	5	interaction	interaction	NOUN
fis-1573	11	6	integral	integral	ADJ
fis-1573	11	7	;	;	PUNCT
fis-1573	11	8	fracture	fracture	ADJ
fis-1573	11	9	toughness	toughness	NOUN
fis-1573	11	10	anisotropy	anisotropy	NOUN
fis-1573	11	11	;	;	PUNCT
fis-1573	11	12	material	material	NOUN
fis-1573	11	13	interfaces	interface	NOUN
fis-1573	11	14	;	;	PUNCT
fis-1573	11	15	crack	crack	NOUN
fis-1573	11	16	paths	path	NOUN
fis-1573	11	17	;	;	PUNCT
fis-1573	11	18	fracture	fracture	NOUN
fis-1573	11	19	process	process	NOUN
fis-1573	11	20	zone	zone	NOUN
fis-1573	11	21	.	.	PUNCT
fis-1573	12	1	introduction	introduction	NOUN
fis-1573	12	2	or	or	CCONJ
fis-1573	12	3	the	the	DET
fis-1573	12	4	sake	sake	NOUN
fis-1573	12	5	of	of	ADP
fis-1573	12	6	an	an	DET
fis-1573	12	7	accurate	accurate	ADJ
fis-1573	12	8	prediction	prediction	NOUN
fis-1573	12	9	of	of	ADP
fis-1573	12	10	crack	crack	NOUN
fis-1573	12	11	paths	path	NOUN
fis-1573	12	12	,	,	PUNCT
fis-1573	12	13	the	the	DET
fis-1573	12	14	loading	loading	NOUN
fis-1573	12	15	analysis	analysis	NOUN
fis-1573	12	16	at	at	ADP
fis-1573	12	17	cracks	crack	NOUN
fis-1573	12	18	is	be	AUX
fis-1573	12	19	one	one	NUM
fis-1573	12	20	crucial	crucial	ADJ
fis-1573	12	21	part	part	NOUN
fis-1573	12	22	of	of	ADP
fis-1573	12	23	the	the	DET
fis-1573	12	24	model	model	NOUN
fis-1573	12	25	.	.	PUNCT
fis-1573	13	1	here	here	ADV
fis-1573	13	2	,	,	PUNCT
fis-1573	13	3	the	the	DET
fis-1573	13	4	application	application	NOUN
fis-1573	13	5	of	of	ADP
fis-1573	13	6	path	path	NOUN
fis-1573	13	7	-	-	PUNCT
fis-1573	13	8	independent	independent	ADJ
fis-1573	13	9	integrals	integral	NOUN
fis-1573	13	10	with	with	ADP
fis-1573	13	11	remote	remote	ADJ
fis-1573	13	12	integration	integration	NOUN
fis-1573	13	13	contours	contours	NOUN
fis-1573	13	14	is	be	AUX
fis-1573	13	15	beneficial	beneficial	ADJ
fis-1573	13	16	compared	compare	VERB
fis-1573	13	17	to	to	ADP
fis-1573	13	18	local	local	ADJ
fis-1573	13	19	approaches	approach	NOUN
fis-1573	13	20	,	,	PUNCT
fis-1573	13	21	as	as	SCONJ
fis-1573	13	22	no	no	DET
fis-1573	13	23	special	special	ADJ
fis-1573	13	24	requirements	requirement	NOUN
fis-1573	13	25	regarding	regard	VERB
fis-1573	13	26	the	the	DET
fis-1573	13	27	crack	crack	NOUN
fis-1573	13	28	tip	tip	NOUN
fis-1573	13	29	meshing	meshing	NOUN
fis-1573	13	30	have	have	VERB
fis-1573	13	31	to	to	PART
fis-1573	13	32	be	be	AUX
fis-1573	13	33	considered	consider	VERB
fis-1573	13	34	.	.	PUNCT
fis-1573	14	1	integrating	integrate	VERB
fis-1573	14	2	along	along	ADP
fis-1573	14	3	large	large	ADJ
fis-1573	14	4	contours	contours	NOUN
fis-1573	14	5	far	far	ADV
fis-1573	14	6	from	from	ADP
fis-1573	14	7	the	the	DET
fis-1573	14	8	crack	crack	NOUN
fis-1573	14	9	tip	tip	NOUN
fis-1573	14	10	essentially	essentially	ADV
fis-1573	14	11	exploits	exploit	VERB
fis-1573	14	12	numerically	numerically	ADV
fis-1573	14	13	reliable	reliable	ADJ
fis-1573	14	14	data	datum	NOUN
fis-1573	14	15	.	.	PUNCT
fis-1573	15	1	the	the	DET
fis-1573	15	2	theory	theory	NOUN
fis-1573	15	3	of	of	ADP
fis-1573	15	4	forces	force	NOUN
fis-1573	15	5	at	at	ADP
fis-1573	15	6	defects	defect	NOUN
fis-1573	15	7	and	and	CCONJ
fis-1573	15	8	singularities	singularity	NOUN
fis-1573	15	9	was	be	AUX
fis-1573	15	10	established	establish	VERB
fis-1573	15	11	by	by	ADP
fis-1573	15	12	eshelby	eshelby	NOUN
fis-1573	16	1	[	[	X
fis-1573	16	2	1	1	NUM
fis-1573	16	3	]	]	PUNCT
fis-1573	16	4	and	and	CCONJ
fis-1573	16	5	applied	apply	VERB
fis-1573	16	6	to	to	ADP
fis-1573	16	7	cracks	crack	NOUN
fis-1573	16	8	and	and	CCONJ
fis-1573	16	9	notches	notch	NOUN
fis-1573	16	10	by	by	ADP
fis-1573	16	11	cherepanov	cherepanov	NOUN
fis-1573	16	12	[	[	X
fis-1573	16	13	2	2	NUM
fis-1573	16	14	]	]	PUNCT
fis-1573	16	15	and	and	CCONJ
fis-1573	16	16	rice	rice	NOUN
fis-1573	17	1	[	[	X
fis-1573	17	2	3	3	NUM
fis-1573	17	3	]	]	PUNCT
fis-1573	17	4	,	,	PUNCT
fis-1573	17	5	introducing	introduce	VERB
fis-1573	17	6	the	the	DET
fis-1573	17	7	path	path	NOUN
fis-1573	17	8	-	-	PUNCT
fis-1573	17	9	independent	independent	ADJ
fis-1573	17	10	j	j	NOUN
fis-1573	17	11	-	-	ADJ
fis-1573	17	12	integral	integral	ADJ
fis-1573	17	13	.	.	PUNCT
fis-1573	18	1	investigations	investigation	NOUN
fis-1573	18	2	by	by	ADP
fis-1573	18	3	günther	günther	NOUN
fis-1573	18	4	[	[	X
fis-1573	18	5	4	4	NUM
fis-1573	18	6	]	]	PUNCT
fis-1573	18	7	and	and	CCONJ
fis-1573	18	8	knowles	knowles	PROPN
fis-1573	18	9	and	and	CCONJ
fis-1573	18	10	sternberg	sternberg	PROPN
fis-1573	18	11	[	[	X
fis-1573	18	12	5	5	NUM
fis-1573	18	13	]	]	PUNCT
fis-1573	18	14	provided	provide	VERB
fis-1573	18	15	balance	balance	NOUN
fis-1573	18	16	equations	equation	NOUN
fis-1573	18	17	including	include	VERB
fis-1573	18	18	the	the	DET
fis-1573	18	19	j-	j-	X
fis-1573	18	20	,	,	PUNCT
fis-1573	18	21	mand	mand	PROPN
fis-1573	18	22	l	l	NOUN
fis-1573	18	23	-	-	NOUN
fis-1573	18	24	integrals	integral	NOUN
fis-1573	18	25	,	,	PUNCT
fis-1573	18	26	which	which	PRON
fis-1573	18	27	were	be	AUX
fis-1573	18	28	generalized	generalize	VERB
fis-1573	18	29	to	to	ADP
fis-1573	18	30	linear	linear	VERB
fis-1573	18	31	elastic	elastic	ADJ
fis-1573	18	32	fracture	fracture	NOUN
fis-1573	18	33	mechanics	mechanic	NOUN
fis-1573	18	34	(	(	PUNCT
fis-1573	18	35	lefm	lefm	PROPN
fis-1573	18	36	)	)	PUNCT
fis-1573	18	37	by	by	ADP
fis-1573	18	38	budiansky	budiansky	NOUN
fis-1573	18	39	and	and	CCONJ
fis-1573	18	40	rice	rice	NOUN
fis-1573	18	41	[	[	X
fis-1573	18	42	6	6	NUM
fis-1573	18	43	]	]	PUNCT
fis-1573	18	44	.	.	PUNCT
fis-1573	19	1	later	later	ADV
fis-1573	19	2	these	these	DET
fis-1573	19	3	balance	balance	NOUN
fis-1573	19	4	laws	law	NOUN
fis-1573	19	5	founded	found	VERB
fis-1573	19	6	the	the	DET
fis-1573	19	7	theory	theory	NOUN
fis-1573	19	8	of	of	ADP
fis-1573	19	9	the	the	DET
fis-1573	19	10	material	material	NOUN
fis-1573	19	11	or	or	CCONJ
fis-1573	19	12	configurational	configurational	ADJ
fis-1573	19	13	forces	force	NOUN
fis-1573	19	14	[	[	X
fis-1573	19	15	7	7	NUM
fis-1573	19	16	]	]	PUNCT
fis-1573	19	17	.	.	PUNCT
fis-1573	20	1	in	in	ADP
fis-1573	20	2	lefm	lefm	PROPN
fis-1573	20	3	,	,	PUNCT
fis-1573	20	4	the	the	DET
fis-1573	20	5	jk	jk	PROPN
fis-1573	20	6	-	-	ADJ
fis-1573	20	7	integral	integral	ADJ
fis-1573	20	8	vector	vector	NOUN
fis-1573	20	9	,	,	PUNCT
fis-1573	20	10	representing	represent	VERB
fis-1573	20	11	the	the	DET
fis-1573	20	12	crack	crack	NOUN
fis-1573	20	13	driving	driving	NOUN
fis-1573	20	14	force	force	NOUN
fis-1573	20	15	,	,	PUNCT
fis-1573	20	16	is	be	AUX
fis-1573	20	17	related	relate	VERB
fis-1573	20	18	to	to	ADP
fis-1573	20	19	the	the	DET
fis-1573	20	20	stress	stress	NOUN
fis-1573	20	21	intensity	intensity	NOUN
fis-1573	20	22	factors	factor	NOUN
fis-1573	20	23	(	(	PUNCT
fis-1573	20	24	sif	sif	INTJ
fis-1573	20	25	)	)	PUNCT
fis-1573	21	1	[	[	X
fis-1573	21	2	8	8	NUM
fis-1573	21	3	]	]	PUNCT
fis-1573	21	4	and	and	CCONJ
fis-1573	21	5	the	the	DET
fis-1573	21	6	energy	energy	NOUN
fis-1573	21	7	release	release	NOUN
fis-1573	21	8	rate	rate	NOUN
fis-1573	21	9	(	(	PUNCT
fis-1573	21	10	err	err	NOUN
fis-1573	21	11	)	)	PUNCT
fis-1573	21	12	.	.	PUNCT
fis-1573	22	1	large	large	ADJ
fis-1573	22	2	integration	integration	NOUN
fis-1573	22	3	contours	contours	VERB
fis-1573	22	4	at	at	ADP
fis-1573	22	5	curved	curved	ADJ
fis-1573	22	6	cracks	crack	NOUN
fis-1573	22	7	require	require	VERB
fis-1573	22	8	the	the	DET
fis-1573	22	9	integration	integration	NOUN
fis-1573	22	10	along	along	ADP
fis-1573	22	11	crack	crack	NOUN
fis-1573	22	12	faces	face	NOUN
fis-1573	22	13	,	,	PUNCT
fis-1573	22	14	f	f	PROPN
fis-1573	22	15	p.o	p.o	PROPN
fis-1573	22	16	.	.	PROPN
fis-1573	22	17	judt	judt	PROPN
fis-1573	22	18	et	et	PROPN
fis-1573	22	19	alii	alii	PROPN
fis-1573	22	20	,	,	PUNCT
fis-1573	22	21	frattura	frattura	PROPN
fis-1573	22	22	ed	ed	PROPN
fis-1573	22	23	integrità	integrità	PROPN
fis-1573	22	24	strutturale	strutturale	PROPN
fis-1573	22	25	,	,	PUNCT
fis-1573	22	26	34	34	NUM
fis-1573	22	27	(	(	PUNCT
fis-1573	22	28	2015	2015	NUM
fis-1573	22	29	)	)	PUNCT
fis-1573	22	30	208	208	NUM
fis-1573	22	31	-	-	SYM
fis-1573	22	32	215	215	NUM
fis-1573	22	33	;	;	PUNCT
fis-1573	22	34	doi	doi	NOUN
fis-1573	22	35	:	:	PUNCT
fis-1573	22	36	10.3221	10.3221	NUM
fis-1573	22	37	/	/	SYM
fis-1573	22	38	igf	igf	PROPN
fis-1573	22	39	-	-	ADJ
fis-1573	22	40	esis.34.22	esis.34.22	NOUN
fis-1573	22	41	209	209	NUM
fis-1573	22	42	providing	provide	VERB
fis-1573	22	43	numerically	numerically	ADV
fis-1573	22	44	inaccurate	inaccurate	ADJ
fis-1573	22	45	values	value	NOUN
fis-1573	22	46	approaching	approach	VERB
fis-1573	22	47	the	the	DET
fis-1573	22	48	crack	crack	NOUN
fis-1573	22	49	tip	tip	NOUN
fis-1573	22	50	,	,	PUNCT
fis-1573	22	51	finally	finally	ADV
fis-1573	22	52	leading	lead	VERB
fis-1573	22	53	to	to	ADP
fis-1573	22	54	large	large	ADJ
fis-1573	22	55	deviations	deviation	NOUN
fis-1573	22	56	in	in	ADP
fis-1573	22	57	j2	j2	PROPN
fis-1573	22	58	.	.	PUNCT
fis-1573	23	1	improvements	improvement	NOUN
fis-1573	23	2	for	for	ADP
fis-1573	23	3	an	an	DET
fis-1573	23	4	accurate	accurate	ADJ
fis-1573	23	5	calculation	calculation	NOUN
fis-1573	23	6	of	of	ADP
fis-1573	23	7	j2	j2	PROPN
fis-1573	23	8	have	have	AUX
fis-1573	23	9	been	be	AUX
fis-1573	23	10	presented	present	VERB
fis-1573	23	11	by	by	ADP
fis-1573	23	12	eischen	eischen	NOUN
fis-1573	24	1	[	[	X
fis-1573	24	2	9	9	NUM
fis-1573	24	3	]	]	PUNCT
fis-1573	24	4	and	and	CCONJ
fis-1573	24	5	judt	judt	VERB
fis-1573	24	6	and	and	CCONJ
fis-1573	24	7	ricoeur	ricoeur	VERB
fis-1573	24	8	[	[	X
fis-1573	24	9	10	10	NUM
fis-1573	24	10	]	]	PUNCT
fis-1573	24	11	.	.	PUNCT
fis-1573	25	1	the	the	DET
fis-1573	25	2	interaction	interaction	NOUN
fis-1573	25	3	integral	integral	ADJ
fis-1573	25	4	or	or	CCONJ
fis-1573	25	5	i	i	PRON
fis-1573	25	6	-	-	PUNCT
fis-1573	25	7	integral	integral	ADJ
fis-1573	25	8	is	be	AUX
fis-1573	25	9	another	another	DET
fis-1573	25	10	conservation	conservation	NOUN
fis-1573	25	11	integral	integral	ADJ
fis-1573	25	12	of	of	ADP
fis-1573	25	13	the	the	DET
fis-1573	25	14	j	j	PROPN
fis-1573	25	15	-	-	ADJ
fis-1573	25	16	integral	integral	ADJ
fis-1573	25	17	type	type	NOUN
fis-1573	25	18	[	[	X
fis-1573	25	19	11	11	NUM
fis-1573	25	20	]	]	PUNCT
fis-1573	25	21	.	.	PUNCT
fis-1573	26	1	here	here	ADV
fis-1573	26	2	,	,	PUNCT
fis-1573	26	3	the	the	DET
fis-1573	26	4	interaction	interaction	NOUN
fis-1573	26	5	of	of	ADP
fis-1573	26	6	the	the	DET
fis-1573	26	7	physical	physical	ADJ
fis-1573	26	8	and	and	CCONJ
fis-1573	26	9	an	an	DET
fis-1573	26	10	auxiliary	auxiliary	ADJ
fis-1573	26	11	crack	crack	NOUN
fis-1573	26	12	tip	tip	NOUN
fis-1573	26	13	loading	loading	NOUN
fis-1573	26	14	is	be	AUX
fis-1573	26	15	used	use	VERB
fis-1573	26	16	for	for	ADP
fis-1573	26	17	the	the	DET
fis-1573	26	18	direct	direct	ADJ
fis-1573	26	19	calculation	calculation	NOUN
fis-1573	26	20	of	of	ADP
fis-1573	26	21	sif	sif	PROPN
fis-1573	26	22	.	.	PUNCT
fis-1573	27	1	in	in	ADP
fis-1573	27	2	general	general	ADJ
fis-1573	27	3	,	,	PUNCT
fis-1573	27	4	auxiliary	auxiliary	ADJ
fis-1573	27	5	fields	field	NOUN
fis-1573	27	6	are	be	AUX
fis-1573	27	7	obtained	obtain	VERB
fis-1573	27	8	from	from	ADP
fis-1573	27	9	the	the	DET
fis-1573	27	10	asymptotic	asymptotic	ADJ
fis-1573	27	11	near	near	ADP
fis-1573	27	12	tip	tip	NOUN
fis-1573	27	13	solution	solution	NOUN
fis-1573	27	14	for	for	ADP
fis-1573	27	15	stresses	stress	NOUN
fis-1573	27	16	and	and	CCONJ
fis-1573	27	17	displacements	displacement	NOUN
fis-1573	27	18	.	.	PUNCT
fis-1573	28	1	considering	consider	VERB
fis-1573	28	2	curved	curved	ADJ
fis-1573	28	3	cracks	crack	NOUN
fis-1573	28	4	,	,	PUNCT
fis-1573	28	5	the	the	DET
fis-1573	28	6	jump	jump	NOUN
fis-1573	28	7	of	of	ADP
fis-1573	28	8	the	the	DET
fis-1573	28	9	auxiliary	auxiliary	ADJ
fis-1573	28	10	fields	field	NOUN
fis-1573	28	11	represents	represent	VERB
fis-1573	28	12	the	the	DET
fis-1573	28	13	straight	straight	ADJ
fis-1573	28	14	auxiliary	auxiliary	ADJ
fis-1573	28	15	crack	crack	NOUN
fis-1573	28	16	,	,	PUNCT
fis-1573	28	17	introducing	introduce	VERB
fis-1573	28	18	another	another	DET
fis-1573	28	19	strong	strong	ADJ
fis-1573	28	20	discontinuity	discontinuity	NOUN
fis-1573	28	21	.	.	PUNCT
fis-1573	29	1	calculating	calculate	VERB
fis-1573	29	2	the	the	DET
fis-1573	29	3	global	global	ADJ
fis-1573	29	4	i	i	NOUN
fis-1573	29	5	-	-	PUNCT
fis-1573	29	6	integral	integral	ADJ
fis-1573	29	7	,	,	PUNCT
fis-1573	29	8	path	path	NOUN
fis-1573	29	9	-	-	PUNCT
fis-1573	29	10	independence	independence	NOUN
fis-1573	29	11	is	be	AUX
fis-1573	29	12	maintained	maintain	VERB
fis-1573	29	13	considering	consider	VERB
fis-1573	29	14	the	the	DET
fis-1573	29	15	integration	integration	NOUN
fis-1573	29	16	along	along	ADP
fis-1573	29	17	both	both	CCONJ
fis-1573	29	18	physical	physical	ADJ
fis-1573	29	19	and	and	CCONJ
fis-1573	29	20	auxiliary	auxiliary	ADJ
fis-1573	29	21	crack	crack	NOUN
fis-1573	29	22	faces	face	NOUN
fis-1573	30	1	[	[	X
fis-1573	30	2	12	12	NUM
fis-1573	30	3	]	]	PUNCT
fis-1573	30	4	.	.	PUNCT
fis-1573	31	1	due	due	ADP
fis-1573	31	2	to	to	ADP
fis-1573	31	3	the	the	DET
fis-1573	31	4	fact	fact	NOUN
fis-1573	31	5	that	that	SCONJ
fis-1573	31	6	the	the	DET
fis-1573	31	7	auxiliary	auxiliary	ADJ
fis-1573	31	8	fields	field	NOUN
fis-1573	31	9	may	may	AUX
fis-1573	31	10	be	be	AUX
fis-1573	31	11	chosen	choose	VERB
fis-1573	31	12	arbitrarily	arbitrarily	ADV
fis-1573	31	13	,	,	PUNCT
fis-1573	31	14	just	just	ADV
fis-1573	31	15	satisfying	satisfy	VERB
fis-1573	31	16	balance	balance	NOUN
fis-1573	31	17	,	,	PUNCT
fis-1573	31	18	constitutive	constitutive	ADJ
fis-1573	31	19	and	and	CCONJ
fis-1573	31	20	kinematic	kinematic	ADJ
fis-1573	31	21	laws	law	NOUN
fis-1573	31	22	,	,	PUNCT
fis-1573	31	23	the	the	DET
fis-1573	31	24	i	i	NOUN
fis-1573	31	25	-	-	NOUN
fis-1573	31	26	integral	integral	ADJ
fis-1573	31	27	can	can	AUX
fis-1573	31	28	be	be	AUX
fis-1573	31	29	applied	apply	VERB
fis-1573	31	30	to	to	ADP
fis-1573	31	31	elegant	elegant	ADJ
fis-1573	31	32	analyzing	analyze	VERB
fis-1573	31	33	multiple	multiple	ADJ
fis-1573	31	34	cracks	crack	NOUN
fis-1573	31	35	systems	system	NOUN
fis-1573	31	36	[	[	X
fis-1573	31	37	13	13	NUM
fis-1573	31	38	]	]	PUNCT
fis-1573	31	39	.	.	PUNCT
fis-1573	32	1	the	the	DET
fis-1573	32	2	mand	mand	PROPN
fis-1573	32	3	l	l	NOUN
fis-1573	32	4	-	-	PUNCT
fis-1573	32	5	integrals	integral	NOUN
fis-1573	32	6	are	be	AUX
fis-1573	32	7	akin	akin	ADJ
fis-1573	32	8	to	to	ADP
fis-1573	32	9	the	the	DET
fis-1573	32	10	j	j	NOUN
fis-1573	32	11	-	-	ADJ
fis-1573	32	12	integral	integral	ADJ
fis-1573	32	13	and	and	CCONJ
fis-1573	32	14	,	,	PUNCT
fis-1573	32	15	in	in	ADP
fis-1573	32	16	terms	term	NOUN
fis-1573	32	17	of	of	ADP
fis-1573	32	18	the	the	DET
fis-1573	32	19	concept	concept	NOUN
fis-1573	32	20	of	of	ADP
fis-1573	32	21	material	material	NOUN
fis-1573	32	22	forces	force	NOUN
fis-1573	32	23	,	,	PUNCT
fis-1573	32	24	represent	represent	VERB
fis-1573	32	25	the	the	DET
fis-1573	32	26	scalar	scalar	ADJ
fis-1573	32	27	moment	moment	NOUN
fis-1573	32	28	and	and	CCONJ
fis-1573	32	29	vector	vector	NOUN
fis-1573	32	30	moment	moment	NOUN
fis-1573	32	31	induced	induce	VERB
fis-1573	32	32	by	by	ADP
fis-1573	32	33	the	the	DET
fis-1573	32	34	crack	crack	NOUN
fis-1573	32	35	driving	driving	NOUN
fis-1573	32	36	force	force	NOUN
fis-1573	32	37	.	.	PUNCT
fis-1573	33	1	especially	especially	ADV
fis-1573	33	2	if	if	SCONJ
fis-1573	33	3	multiple	multiple	ADJ
fis-1573	33	4	defects	defect	NOUN
fis-1573	33	5	are	be	AUX
fis-1573	33	6	considered	consider	VERB
fis-1573	33	7	,	,	PUNCT
fis-1573	33	8	these	these	DET
fis-1573	33	9	integrals	integral	NOUN
fis-1573	33	10	provide	provide	VERB
fis-1573	33	11	a	a	DET
fis-1573	33	12	distinction	distinction	NOUN
fis-1573	33	13	between	between	ADP
fis-1573	33	14	the	the	DET
fis-1573	33	15	crack	crack	NOUN
fis-1573	33	16	driving	driving	NOUN
fis-1573	33	17	force	force	NOUN
fis-1573	33	18	and	and	CCONJ
fis-1573	33	19	other	other	ADJ
fis-1573	33	20	material	material	NOUN
fis-1573	33	21	forces	force	NOUN
fis-1573	33	22	[	[	X
fis-1573	33	23	14	14	NUM
fis-1573	33	24	]	]	PUNCT
fis-1573	33	25	.	.	PUNCT
fis-1573	34	1	in	in	ADP
fis-1573	34	2	the	the	DET
fis-1573	34	3	paper	paper	NOUN
fis-1573	34	4	this	this	DET
fis-1573	34	5	concept	concept	NOUN
fis-1573	34	6	is	be	AUX
fis-1573	34	7	adopted	adopt	VERB
fis-1573	34	8	for	for	ADP
fis-1573	34	9	a	a	DET
fis-1573	34	10	separation	separation	NOUN
fis-1573	34	11	of	of	ADP
fis-1573	34	12	the	the	DET
fis-1573	34	13	crack	crack	NOUN
fis-1573	34	14	driving	driving	NOUN
fis-1573	34	15	force	force	NOUN
fis-1573	34	16	and	and	CCONJ
fis-1573	34	17	the	the	DET
fis-1573	34	18	forces	force	NOUN
fis-1573	34	19	acting	act	VERB
fis-1573	34	20	in	in	ADP
fis-1573	34	21	the	the	DET
fis-1573	34	22	plastic	plastic	ADJ
fis-1573	34	23	deformation	deformation	NOUN
fis-1573	34	24	.	.	PUNCT
fis-1573	35	1	for	for	ADP
fis-1573	35	2	an	an	DET
fis-1573	35	3	accurate	accurate	ADJ
fis-1573	35	4	calculation	calculation	NOUN
fis-1573	35	5	of	of	ADP
fis-1573	35	6	crack	crack	NOUN
fis-1573	35	7	paths	path	NOUN
fis-1573	35	8	,	,	PUNCT
fis-1573	35	9	the	the	DET
fis-1573	35	10	anisotropic	anisotropic	NOUN
fis-1573	35	11	elastic	elastic	ADJ
fis-1573	35	12	and	and	CCONJ
fis-1573	35	13	fracture	fracture	ADJ
fis-1573	35	14	mechanical	mechanical	ADJ
fis-1573	35	15	properties	property	NOUN
fis-1573	35	16	must	must	AUX
fis-1573	35	17	also	also	ADV
fis-1573	35	18	be	be	AUX
fis-1573	35	19	considered	consider	VERB
fis-1573	35	20	in	in	ADP
fis-1573	35	21	the	the	DET
fis-1573	35	22	model	model	NOUN
fis-1573	35	23	.	.	PUNCT
fis-1573	36	1	the	the	DET
fis-1573	36	2	elastic	elastic	ADJ
fis-1573	36	3	anisotropy	anisotropy	NOUN
fis-1573	36	4	is	be	AUX
fis-1573	36	5	related	relate	VERB
fis-1573	36	6	to	to	ADP
fis-1573	36	7	the	the	DET
fis-1573	36	8	crack	crack	NOUN
fis-1573	36	9	tip	tip	NOUN
fis-1573	36	10	loading	loading	NOUN
fis-1573	36	11	analysis	analysis	NOUN
fis-1573	36	12	[	[	X
fis-1573	36	13	15	15	NUM
fis-1573	36	14	]	]	PUNCT
fis-1573	36	15	,	,	PUNCT
fis-1573	36	16	whereas	whereas	SCONJ
fis-1573	36	17	the	the	DET
fis-1573	36	18	fracture	fracture	ADJ
fis-1573	36	19	toughness	toughness	NOUN
fis-1573	36	20	anisotropy	anisotropy	NOUN
fis-1573	36	21	requires	require	VERB
fis-1573	36	22	an	an	DET
fis-1573	36	23	extended	extended	ADJ
fis-1573	36	24	theory	theory	NOUN
fis-1573	36	25	for	for	ADP
fis-1573	36	26	determining	determine	VERB
fis-1573	36	27	the	the	DET
fis-1573	36	28	crack	crack	NOUN
fis-1573	36	29	deflection	deflection	NOUN
fis-1573	36	30	angle	angle	NOUN
fis-1573	37	1	[	[	X
fis-1573	37	2	16	16	NUM
fis-1573	37	3	]	]	PUNCT
fis-1573	37	4	.	.	PUNCT
fis-1573	38	1	material	material	NOUN
fis-1573	38	2	interfaces	interface	NOUN
fis-1573	38	3	and	and	CCONJ
fis-1573	38	4	internal	internal	ADJ
fis-1573	38	5	boundaries	boundary	NOUN
fis-1573	38	6	represent	represent	VERB
fis-1573	38	7	inhomogeneities	inhomogeneity	NOUN
fis-1573	38	8	in	in	ADP
fis-1573	38	9	the	the	DET
fis-1573	38	10	material	material	NOUN
fis-1573	38	11	space	space	NOUN
fis-1573	38	12	,	,	PUNCT
fis-1573	38	13	thus	thus	ADV
fis-1573	38	14	producing	produce	VERB
fis-1573	38	15	configurational	configurational	ADJ
fis-1573	38	16	forces	force	NOUN
fis-1573	38	17	along	along	ADP
fis-1573	38	18	these	these	DET
fis-1573	38	19	boundaries	boundary	NOUN
fis-1573	38	20	.	.	PUNCT
fis-1573	39	1	to	to	PART
fis-1573	39	2	obtain	obtain	VERB
fis-1573	39	3	the	the	DET
fis-1573	39	4	crack	crack	NOUN
fis-1573	39	5	driving	driving	NOUN
fis-1573	39	6	force	force	NOUN
fis-1573	39	7	,	,	PUNCT
fis-1573	39	8	the	the	DET
fis-1573	39	9	integration	integration	NOUN
fis-1573	39	10	along	along	ADP
fis-1573	39	11	these	these	DET
fis-1573	39	12	boundaries	boundary	NOUN
fis-1573	39	13	is	be	AUX
fis-1573	39	14	necessary	necessary	ADJ
fis-1573	39	15	,	,	PUNCT
fis-1573	39	16	providing	provide	VERB
fis-1573	39	17	path	path	NOUN
fis-1573	39	18	-	-	PUNCT
fis-1573	39	19	independence	independence	NOUN
fis-1573	39	20	.	.	PUNCT
fis-1573	40	1	this	this	DET
fis-1573	40	2	paper	paper	NOUN
fis-1573	40	3	presents	present	VERB
fis-1573	40	4	a	a	DET
fis-1573	40	5	numerical	numerical	ADJ
fis-1573	40	6	model	model	NOUN
fis-1573	40	7	for	for	ADP
fis-1573	40	8	the	the	DET
fis-1573	40	9	accurate	accurate	ADJ
fis-1573	40	10	loading	loading	NOUN
fis-1573	40	11	analysis	analysis	NOUN
fis-1573	40	12	and	and	CCONJ
fis-1573	40	13	crack	crack	VERB
fis-1573	40	14	path	path	NOUN
fis-1573	40	15	prediction	prediction	NOUN
fis-1573	40	16	considering	consider	VERB
fis-1573	40	17	anisotropic	anisotropic	NOUN
fis-1573	40	18	properties	property	NOUN
fis-1573	40	19	and	and	CCONJ
fis-1573	40	20	material	material	NOUN
fis-1573	40	21	interfaces	interface	NOUN
fis-1573	40	22	.	.	PUNCT
fis-1573	41	1	calculated	calculate	VERB
fis-1573	41	2	crack	crack	NOUN
fis-1573	41	3	paths	path	NOUN
fis-1573	41	4	are	be	AUX
fis-1573	41	5	presented	present	VERB
fis-1573	41	6	and	and	CCONJ
fis-1573	41	7	compared	compare	VERB
fis-1573	41	8	to	to	ADP
fis-1573	41	9	those	those	PRON
fis-1573	41	10	obtained	obtain	VERB
fis-1573	41	11	from	from	ADP
fis-1573	41	12	crack	crack	NOUN
fis-1573	41	13	growth	growth	NOUN
fis-1573	41	14	experiments	experiment	NOUN
fis-1573	41	15	.	.	PUNCT
fis-1573	42	1	theory	theory	NOUN
fis-1573	42	2	of	of	ADP
fis-1573	42	3	path	path	NOUN
fis-1573	42	4	-	-	PUNCT
fis-1573	42	5	independent	independent	ADJ
fis-1573	42	6	integrals	integral	NOUN
fis-1573	42	7	he	he	PRON
fis-1573	42	8	lagrangian	lagrangian	ADJ
fis-1573	42	9	density	density	NOUN
fis-1573	42	10	of	of	ADP
fis-1573	42	11	a	a	DET
fis-1573	42	12	system	system	NOUN
fis-1573	42	13	exhibiting	exhibit	VERB
fis-1573	42	14	a	a	DET
fis-1573	42	15	potential	potential	ADJ
fis-1573	42	16	u	u	NOUN
fis-1573	42	17	is	be	AUX
fis-1573	42	18	defined	define	VERB
fis-1573	42	19	as	as	ADP
fis-1573	42	20	t	t	PROPN
fis-1573	42	21	u	u	X
fis-1573	42	22			NOUN
fis-1573	42	23	,	,	PUNCT
fis-1573	42	24	with	with	ADP
fis-1573	42	25	t	t	PROPN
fis-1573	42	26	being	be	AUX
fis-1573	42	27	the	the	DET
fis-1573	42	28	kinetic	kinetic	ADJ
fis-1573	42	29	density	density	NOUN
fis-1573	42	30	.	.	PUNCT
fis-1573	43	1	the	the	DET
fis-1573	43	2	balance	balance	NOUN
fis-1573	43	3	laws	law	NOUN
fis-1573	43	4	in	in	ADP
fis-1573	43	5	the	the	DET
fis-1573	43	6	configurational	configurational	ADJ
fis-1573	43	7	space	space	NOUN
fis-1573	43	8	are	be	AUX
fis-1573	43	9	derived	derive	VERB
fis-1573	43	10	from	from	ADP
fis-1573	43	11	applying	apply	VERB
fis-1573	43	12	the	the	DET
fis-1573	43	13	gradient	gradient	NOUN
fis-1573	43	14	,	,	PUNCT
fis-1573	43	15	divergence	divergence	NOUN
fis-1573	43	16	and	and	CCONJ
fis-1573	43	17	curl	curl	NOUN
fis-1573	43	18	operator	operator	NOUN
fis-1573	43	19	to	to	ADP
fis-1573	43	20	the	the	DET
fis-1573	43	21	lagrangian	lagrangian	ADJ
fis-1573	43	22			NOUN
fis-1573	43	23	and	and	CCONJ
fis-1573	43	24	the	the	DET
fis-1573	43	25	lagrangian	lagrangian	ADJ
fis-1573	43	26	moment	moment	NOUN
fis-1573	43	27	kx	kx	NOUN
fis-1573	44	1	[	[	X
fis-1573	44	2	17	17	NUM
fis-1573	44	3	]	]	PUNCT
fis-1573	44	4	.	.	PUNCT
fis-1573	45	1	assuming	assume	VERB
fis-1573	45	2	quasi	quasi	ADJ
fis-1573	45	3	-	-	ADJ
fis-1573	45	4	static	static	ADJ
fis-1573	45	5	conditions	condition	NOUN
fis-1573	45	6	,	,	PUNCT
fis-1573	45	7	material	material	NOUN
fis-1573	45	8	isotropy	isotropy	NOUN
fis-1573	45	9	and	and	CCONJ
fis-1573	45	10	homogeneity	homogeneity	NOUN
fis-1573	45	11	,	,	PUNCT
fis-1573	45	12	thus	thus	ADV
fis-1573	45	13	neglecting	neglect	VERB
fis-1573	45	14	an	an	DET
fis-1573	45	15	explicit	explicit	ADJ
fis-1573	45	16	dependence	dependence	NOUN
fis-1573	45	17	of	of	ADP
fis-1573	45	18			NOUN
fis-1573	45	19	on	on	ADP
fis-1573	45	20	the	the	DET
fis-1573	45	21	location	location	NOUN
fis-1573	45	22	kx	kx	PROPN
fis-1573	45	23	,	,	PUNCT
fis-1573	45	24	the	the	DET
fis-1573	45	25	balance	balance	NOUN
fis-1573	45	26	laws	law	NOUN
fis-1573	45	27	read	read	VERB
fis-1573	45	28			NOUN
fis-1573	45	29			PROPN
fis-1573	45	30	,	,	PUNCT
fis-1573	45	31	,	,	PUNCT
fis-1573	45	32	,	,	PUNCT
fis-1573	45	33	gard	gard	PROPN
fis-1573	45	34	0kj	0kj	PROPN
fis-1573	46	1	ij	ij	INTJ
fis-1573	47	1	i	i	NOUN
fis-1573	47	2	k	k	PROPN
fis-1573	48	1	kj	kj	PROPN
fis-1573	48	2	jj	jj	PROPN
fis-1573	48	3	u	u	PROPN
fis-1573	48	4	u	u	PROPN
fis-1573	48	5	q	q	PROPN
fis-1573	48	6			PROPN
fis-1573	48	7			PROPN
fis-1573	48	8			PROPN
fis-1573	48	9			PROPN
fis-1573	48	10			NOUN
fis-1573	48	11			PROPN
fis-1573	48	12	(	(	PUNCT
fis-1573	48	13	1	1	NUM
fis-1573	48	14	)	)	PUNCT
fis-1573	48	15			NOUN
fis-1573	48	16			PROPN
fis-1573	48	17	,	,	PUNCT
fis-1573	48	18	,	,	PUNCT
fis-1573	48	19	div	div	X
fis-1573	48	20	1	1	NUM
fis-1573	48	21	0	0	NUM
fis-1573	48	22	,	,	PUNCT
fis-1573	48	23	2kj	2kj	NOUN
fis-1573	48	24	k	k	PROPN
fis-1573	49	1	ij	ij	INTJ
fis-1573	50	1	i	i	PRON
fis-1573	51	1	kj	kj	PROPN
fis-1573	51	2	j	j	PROPN
fis-1573	52	1	k	k	PROPN
fis-1573	52	2	j	j	PROPN
fis-1573	52	3	m	m	VERB
fis-1573	52	4	q	q	X
fis-1573	52	5	x	x	PUNCT
fis-1573	52	6	u	u	NOUN
fis-1573	52	7	q	q	PROPN
fis-1573	52	8	x	x	NUM
fis-1573	52	9			PROPN
fis-1573	52	10			PROPN
fis-1573	52	11			PUNCT
fis-1573	52	12			NOUN
fis-1573	52	13			PROPN
fis-1573	52	14			PROPN
fis-1573	52	15			PROPN
fis-1573	52	16			NOUN
fis-1573	52	17			PROPN
fis-1573	52	18			PROPN
fis-1573	52	19	x	x	X
fis-1573	52	20	(	(	PUNCT
fis-1573	52	21	2	2	NUM
fis-1573	52	22	)	)	PUNCT
fis-1573	52	23	,	,	PUNCT
fis-1573	52	24	,	,	PUNCT
fis-1573	52	25	curl	curl	NOUN
fis-1573	52	26	(	(	PUNCT
fis-1573	52	27	)	)	PUNCT
fis-1573	52	28	0,mkn	0,mkn	PROPN
fis-1573	53	1	kj	kj	PROPN
fis-1573	53	2	n	n	PROPN
fis-1573	53	3	kj	kj	PROPN
fis-1573	53	4	n	n	ADV
fis-1573	53	5	mkn	mkn	VERB
fis-1573	53	6	kj	kj	PROPN
fis-1573	53	7	j	j	PROPN
fis-1573	53	8	nj	nj	PROPN
fis-1573	53	9	q	q	PROPN
fis-1573	54	1	x	x	PUNCT
fis-1573	54	2	u	u	X
fis-1573	54	3	q	q	PROPN
fis-1573	54	4	x	x	PROPN
fis-1573	54	5			PROPN
fis-1573	54	6			ADV
fis-1573	54	7			NUM
fis-1573	54	8			NOUN
fis-1573	54	9	x	x	NUM
fis-1573	54	10			X
fis-1573	54	11			PUNCT
fis-1573	54	12	(	(	PUNCT
fis-1573	54	13	3	3	X
fis-1573	54	14	)	)	PUNCT
fis-1573	54	15	with	with	ADP
fis-1573	54	16	kjq	kjq	PROPN
fis-1573	54	17	being	be	AUX
fis-1573	54	18	eshelby	eshelby	PROPN
fis-1573	54	19	's	's	PART
fis-1573	54	20	energy	energy	NOUN
fis-1573	54	21	-	-	PUNCT
fis-1573	54	22	momentum	momentum	NOUN
fis-1573	54	23	tensor	tensor	NOUN
fis-1573	54	24	,	,	PUNCT
fis-1573	54	25	kj	kj	NOUN
fis-1573	54	26	kronecker	kronecker	NOUN
fis-1573	54	27	's	's	PART
fis-1573	54	28	identity	identity	NOUN
fis-1573	54	29	tensor	tensor	NOUN
fis-1573	54	30	,	,	PUNCT
fis-1573	54	31	mkn	mkn	VERB
fis-1573	54	32	the	the	DET
fis-1573	54	33	levi	levi	PROPN
fis-1573	54	34	-	-	PUNCT
fis-1573	54	35	civita	civita	NOUN
fis-1573	54	36	symbol	symbol	NOUN
fis-1573	54	37	,	,	PUNCT
fis-1573	54	38	ij	ij	PUNCT
fis-1573	54	39	the	the	DET
fis-1573	54	40	stress	stress	NOUN
fis-1573	54	41	tensor	tensor	NOUN
fis-1573	54	42	,	,	PUNCT
fis-1573	54	43	iu	iu	ADP
fis-1573	54	44	the	the	DET
fis-1573	54	45	displacements	displacement	NOUN
fis-1573	54	46	and	and	CCONJ
fis-1573	54	47	m	m	NOUN
fis-1573	54	48	=	=	ADJ
fis-1573	54	49	2	2	NUM
fis-1573	54	50	in	in	ADP
fis-1573	54	51	two	two	NUM
fis-1573	54	52	-	-	PUNCT
fis-1573	54	53	dimensional	dimensional	ADJ
fis-1573	54	54	and	and	CCONJ
fis-1573	54	55	m	m	VERB
fis-1573	54	56	=	=	NOUN
fis-1573	54	57	3	3	NUM
fis-1573	54	58	in	in	ADP
fis-1573	54	59	three	three	NUM
fis-1573	54	60	-	-	PUNCT
fis-1573	54	61	dimensional	dimensional	ADJ
fis-1573	54	62	space	space	NOUN
fis-1573	54	63	.	.	PUNCT
fis-1573	55	1	eqs	eqs	PROPN
fis-1573	55	2	.	.	PUNCT
fis-1573	56	1	(	(	PUNCT
fis-1573	56	2	1	1	X
fis-1573	56	3	)	)	PUNCT
fis-1573	56	4	(	(	PUNCT
fis-1573	56	5	3	3	X
fis-1573	56	6	)	)	PUNCT
fis-1573	56	7	represent	represent	VERB
fis-1573	56	8	balance	balance	NOUN
fis-1573	56	9	equations	equation	NOUN
fis-1573	56	10	in	in	ADP
fis-1573	56	11	a	a	DET
fis-1573	56	12	defect	defect	NOUN
fis-1573	56	13	-	-	PUNCT
fis-1573	56	14	free	free	ADJ
fis-1573	56	15	material	material	NOUN
fis-1573	56	16	.	.	PUNCT
fis-1573	57	1	applying	apply	VERB
fis-1573	57	2	these	these	DET
fis-1573	57	3	laws	law	NOUN
fis-1573	57	4	to	to	ADP
fis-1573	57	5	boundary	boundary	ADJ
fis-1573	57	6	value	value	NOUN
fis-1573	57	7	problems	problem	NOUN
fis-1573	57	8	including	include	VERB
fis-1573	57	9	a	a	DET
fis-1573	57	10	crack	crack	NOUN
fis-1573	57	11	,	,	PUNCT
fis-1573	57	12	the	the	DET
fis-1573	57	13	integrals	integral	NOUN
fis-1573	57	14	of	of	ADP
fis-1573	57	15	a	a	DET
fis-1573	57	16	domain	domain	NOUN
fis-1573	57	17	v	v	PART
fis-1573	57	18	provide	provide	VERB
fis-1573	57	19	finite	finite	ADJ
fis-1573	57	20	values	value	NOUN
fis-1573	57	21	and	and	CCONJ
fis-1573	57	22	are	be	AUX
fis-1573	57	23	denoted	denote	VERB
fis-1573	57	24	as	as	ADP
fis-1573	57	25	jk-	jk-	PROPN
fis-1573	57	26	,	,	PUNCT
fis-1573	57	27	mand	mand	PROPN
fis-1573	57	28	lm	lm	PROPN
fis-1573	57	29	-	-	PUNCT
fis-1573	57	30	integrals	integral	NOUN
fis-1573	57	31	.	.	PUNCT
fis-1573	58	1	considering	consider	VERB
fis-1573	58	2	plane	plane	NOUN
fis-1573	58	3	problems	problem	NOUN
fis-1573	58	4	,	,	PUNCT
fis-1573	58	5	i.e.	i.e.	X
fis-1573	58	6	m	m	ADJ
fis-1573	58	7	=	=	SYM
fis-1573	58	8	2	2	NUM
fis-1573	58	9	,	,	PUNCT
fis-1573	58	10	and	and	CCONJ
fis-1573	58	11	3l	3l	NUM
fis-1573	58	12	l	l	NOUN
fis-1573	58	13	in	in	ADP
fis-1573	58	14	the	the	DET
fis-1573	58	15	following	following	NOUN
fis-1573	58	16	,	,	PUNCT
fis-1573	58	17	the	the	DET
fis-1573	58	18	integrals	integral	NOUN
fis-1573	58	19	are	be	AUX
fis-1573	58	20	transformed	transform	VERB
fis-1573	58	21	with	with	ADP
fis-1573	58	22	gauss	gauss	PROPN
fis-1573	58	23	'	'	PUNCT
fis-1573	58	24	theorem	theorem	NOUN
fis-1573	58	25	into	into	ADP
fis-1573	58	26	line	line	NOUN
fis-1573	58	27	integrals	integral	NOUN
fis-1573	58	28	,	,	PUNCT
fis-1573	58	29	surrounding	surround	VERB
fis-1573	58	30	the	the	DET
fis-1573	58	31	defect	defect	NOUN
fis-1573	58	32	or	or	CCONJ
fis-1573	58	33	the	the	DET
fis-1573	58	34	crack	crack	NOUN
fis-1573	58	35	tip	tip	NOUN
fis-1573	58	36	,	,	PUNCT
fis-1573	58	37	see	see	VERB
fis-1573	58	38	fig	fig	NOUN
fis-1573	58	39	.	.	PUNCT
fis-1573	59	1	1(a	1(a	NUM
fis-1573	59	2	)	)	PUNCT
fis-1573	59	3	,	,	PUNCT
fis-1573	59	4	now	now	ADV
fis-1573	59	5	reading	read	VERB
fis-1573	59	6	0	0	NUM
fis-1573	60	1	lim	lim	PROPN
fis-1573	60	2	d	d	PROPN
fis-1573	60	3	,	,	PUNCT
fis-1573	60	4	k	k	PROPN
fis-1573	61	1	kj	kj	PROPN
fis-1573	61	2	jj	jj	PROPN
fis-1573	61	3	q	q	PROPN
fis-1573	61	4	n	n	PROPN
fis-1573	61	5	s	s	PART
fis-1573	61	6			NOUN
fis-1573	61	7			VERB
fis-1573	61	8			PRON
fis-1573	61	9			NOUN
fis-1573	61	10			X
fis-1573	61	11			X
fis-1573	61	12	(	(	PUNCT
fis-1573	61	13	4	4	X
fis-1573	61	14	)	)	PUNCT
fis-1573	61	15			NOUN
fis-1573	61	16			PUNCT
fis-1573	61	17	0	0	SYM
fis-1573	61	18	0	0	NUM
fis-1573	62	1	lim	lim	PROPN
fis-1573	62	2	d	d	PROPN
fis-1573	62	3	lim	lim	PROPN
fis-1573	62	4	d	d	PROPN
fis-1573	62	5	,	,	PUNCT
fis-1573	62	6	kj	kj	PROPN
fis-1573	62	7	k	k	PROPN
fis-1573	62	8	j	j	PROPN
fis-1573	63	1	kj	kj	PROPN
fis-1573	63	2	j	j	PROPN
fis-1573	63	3	k	k	PROPN
fis-1573	63	4	k	k	PROPN
fis-1573	63	5	km	km	PROPN
fis-1573	63	6	q	q	PROPN
fis-1573	64	1	x	x	X
fis-1573	64	2	n	n	PROPN
fis-1573	64	3	s	s	NOUN
fis-1573	64	4	q	q	X
fis-1573	64	5	n	n	PROPN
fis-1573	64	6	s	s	NOUN
fis-1573	64	7	x	x	X
fis-1573	64	8	j	j	PROPN
fis-1573	64	9	x	x	X
fis-1573	64	10			NOUN
fis-1573	64	11			PRON
fis-1573	65	1			VERB
fis-1573	65	2			VERB
fis-1573	65	3			NUM
fis-1573	65	4			NOUN
fis-1573	65	5			PROPN
fis-1573	65	6			X
fis-1573	65	7			X
fis-1573	65	8			X
fis-1573	65	9			X
fis-1573	65	10			X
fis-1573	65	11	(	(	PUNCT
fis-1573	65	12	5	5	X
fis-1573	65	13	)	)	PUNCT
fis-1573	65	14	t	t	PROPN
fis-1573	65	15	p.o	p.o	PROPN
fis-1573	65	16	.	.	PROPN
fis-1573	65	17	judt	judt	PROPN
fis-1573	65	18	et	et	PROPN
fis-1573	65	19	alii	alii	PROPN
fis-1573	65	20	,	,	PUNCT
fis-1573	65	21	frattura	frattura	PROPN
fis-1573	65	22	ed	ed	PROPN
fis-1573	65	23	integrità	integrità	PROPN
fis-1573	65	24	strutturale	strutturale	PROPN
fis-1573	65	25	,	,	PUNCT
fis-1573	65	26	34	34	NUM
fis-1573	65	27	(	(	PUNCT
fis-1573	65	28	2015	2015	NUM
fis-1573	65	29	)	)	PUNCT
fis-1573	65	30	208	208	NUM
fis-1573	65	31	-	-	SYM
fis-1573	65	32	215	215	NUM
fis-1573	65	33	;	;	PUNCT
fis-1573	65	34	doi	doi	NOUN
fis-1573	65	35	:	:	PUNCT
fis-1573	65	36	10.3221	10.3221	NUM
fis-1573	65	37	/	/	SYM
fis-1573	65	38	igf	igf	PROPN
fis-1573	65	39	-	-	ADJ
fis-1573	65	40	esis.34.22	esis.34.22	ADJ
fis-1573	65	41	210	210	NUM
fis-1573	65	42			NOUN
fis-1573	65	43			PROPN
fis-1573	65	44	0	0	SYM
fis-1573	65	45	0	0	NUM
fis-1573	65	46	,	,	PUNCT
fis-1573	65	47	lim	lim	PROPN
fis-1573	65	48	d	d	PROPN
fis-1573	65	49	lim	lim	PROPN
fis-1573	65	50	dkn	dkn	PROPN
fis-1573	65	51	kj	kj	PROPN
fis-1573	65	52	n	n	PROPN
fis-1573	65	53	kj	kj	PROPN
fis-1573	65	54	n	n	PROPN
fis-1573	65	55	j	j	PROPN
fis-1573	66	1	kn	kn	PROPN
fis-1573	66	2	kj	kj	PROPN
fis-1573	66	3	j	j	PROPN
fis-1573	66	4	n	n	CCONJ
fis-1573	66	5	kn	kn	PROPN
fis-1573	66	6	k	k	PROPN
fis-1573	66	7	nl	nl	PROPN
fis-1573	66	8	q	q	PROPN
fis-1573	66	9	x	x	PUNCT
fis-1573	66	10	u	u	VERB
fis-1573	66	11	n	n	NOUN
fis-1573	66	12	s	s	NOUN
fis-1573	66	13	q	q	X
fis-1573	66	14	n	n	PROPN
fis-1573	66	15	s	s	NOUN
fis-1573	66	16	x	x	SYM
fis-1573	66	17	j	j	PROPN
fis-1573	66	18	x	x	PROPN
fis-1573	66	19			PROPN
fis-1573	66	20			PRON
fis-1573	67	1			VERB
fis-1573	67	2			NUM
fis-1573	67	3			PROPN
fis-1573	67	4			ADJ
fis-1573	67	5			NOUN
fis-1573	67	6			PROPN
fis-1573	67	7			X
fis-1573	67	8			X
fis-1573	67	9			X
fis-1573	67	10			X
fis-1573	67	11			X
fis-1573	67	12			X
fis-1573	67	13			X
fis-1573	67	14			X
fis-1573	67	15	(	(	PUNCT
fis-1573	67	16	6	6	NUM
fis-1573	67	17	)	)	PUNCT
fis-1573	67	18	if	if	SCONJ
fis-1573	67	19	the	the	DET
fis-1573	67	20	contour	contour	NOUN
fis-1573	67	21			NOUN
fis-1573	67	22	is	be	AUX
fis-1573	67	23	shrunk	shrink	VERB
fis-1573	67	24	to	to	ADP
fis-1573	67	25	the	the	DET
fis-1573	67	26	crack	crack	NOUN
fis-1573	67	27	tip	tip	NOUN
fis-1573	67	28	.	.	PUNCT
fis-1573	68	1	a	a	DET
fis-1573	68	2	reduced	reduced	ADJ
fis-1573	68	3	notation	notation	NOUN
fis-1573	68	4	3kn	3kn	ADJ
fis-1573	68	5	kn	kn	PROPN
fis-1573	68	6			VERB
fis-1573	68	7	is	be	AUX
fis-1573	68	8	introduced	introduce	VERB
fis-1573	68	9	for	for	ADP
fis-1573	68	10	the	the	DET
fis-1573	68	11	levi	levi	PROPN
fis-1573	68	12	-	-	PUNCT
fis-1573	68	13	civita	civita	NOUN
fis-1573	68	14	symbol	symbol	NOUN
fis-1573	68	15	.	.	PUNCT
fis-1573	69	1	applying	apply	VERB
fis-1573	69	2	finite	finite	ADJ
fis-1573	69	3	integration	integration	NOUN
fis-1573	69	4	contours	contours	NOUN
fis-1573	69	5	and	and	CCONJ
fis-1573	69	6	considering	consider	VERB
fis-1573	69	7	curved	curved	ADJ
fis-1573	69	8	cracks	crack	NOUN
fis-1573	69	9	and	and	CCONJ
fis-1573	69	10	mixed	mixed	ADJ
fis-1573	69	11	-	-	PUNCT
fis-1573	69	12	mode	mode	NOUN
fis-1573	69	13	loading	loading	NOUN
fis-1573	69	14	,	,	PUNCT
fis-1573	69	15	integration	integration	NOUN
fis-1573	69	16	along	along	ADP
fis-1573	69	17	the	the	DET
fis-1573	69	18	crack	crack	NOUN
fis-1573	69	19	faces	face	NOUN
fis-1573	69	20	is	be	AUX
fis-1573	69	21	required	require	VERB
fis-1573	69	22	to	to	PART
fis-1573	69	23	provide	provide	VERB
fis-1573	69	24	path	path	NOUN
fis-1573	69	25	-	-	PUNCT
fis-1573	69	26	independence	independence	NOUN
fis-1573	69	27	.	.	PUNCT
fis-1573	70	1	special	special	ADJ
fis-1573	70	2	treatment	treatment	NOUN
fis-1573	70	3	is	be	AUX
fis-1573	70	4	necessary	necessary	ADJ
fis-1573	70	5	for	for	ADP
fis-1573	70	6	the	the	DET
fis-1573	70	7	accurate	accurate	ADJ
fis-1573	70	8	calculation	calculation	NOUN
fis-1573	70	9	of	of	ADP
fis-1573	70	10	j2	j2	PROPN
fis-1573	70	11	and	and	CCONJ
fis-1573	70	12	l.	l.	PROPN
fis-1573	70	13	here	here	ADV
fis-1573	70	14	,	,	PUNCT
fis-1573	70	15	numerical	numerical	ADJ
fis-1573	70	16	inaccuracies	inaccuracy	NOUN
fis-1573	70	17	are	be	AUX
fis-1573	70	18	adjusted	adjust	VERB
fis-1573	70	19	,	,	PUNCT
fis-1573	70	20	e.g.	e.g.	ADV
fis-1573	70	21	extrapolating	extrapolate	VERB
fis-1573	70	22	the	the	DET
fis-1573	70	23	non	non	ADJ
fis-1573	70	24	-	-	ADJ
fis-1573	70	25	singular	singular	ADJ
fis-1573	70	26	part	part	NOUN
fis-1573	70	27	of	of	ADP
fis-1573	70	28	tangential	tangential	ADJ
fis-1573	70	29	stresses	stress	NOUN
fis-1573	70	30	on	on	ADP
fis-1573	70	31	the	the	DET
fis-1573	70	32	crack	crack	NOUN
fis-1573	70	33	faces	face	NOUN
fis-1573	70	34	towards	towards	ADP
fis-1573	70	35	the	the	DET
fis-1573	70	36	crack	crack	NOUN
fis-1573	70	37	tip	tip	NOUN
fis-1573	70	38	[	[	X
fis-1573	70	39	10	10	NUM
fis-1573	70	40	]	]	PUNCT
fis-1573	70	41	.	.	PUNCT
fis-1573	71	1	(	(	PUNCT
fis-1573	71	2	a	a	X
fis-1573	71	3	)	)	PUNCT
fis-1573	71	4	(	(	PUNCT
fis-1573	71	5	b	b	X
fis-1573	71	6	)	)	PUNCT
fis-1573	71	7	figure	figure	NOUN
fis-1573	71	8	1	1	NUM
fis-1573	71	9	:	:	PUNCT
fis-1573	71	10	integration	integration	NOUN
fis-1573	71	11	contours	contours	NOUN
fis-1573	71	12	,	,	PUNCT
fis-1573	71	13	for	for	ADP
fis-1573	71	14	path	path	NOUN
fis-1573	71	15	-	-	PUNCT
fis-1573	71	16	independent	independent	ADJ
fis-1573	72	1	jk-	jk-	PROPN
fis-1573	72	2	,	,	PUNCT
fis-1573	72	3	m-	m-	PROPN
fis-1573	72	4	,	,	PUNCT
fis-1573	72	5	l	l	PROPN
fis-1573	72	6	and	and	CCONJ
fis-1573	72	7	ik	ik	NOUN
fis-1573	72	8	-	-	NOUN
fis-1573	72	9	integrals	integral	NOUN
fis-1573	72	10	,	,	PUNCT
fis-1573	72	11	considering	consider	VERB
fis-1573	72	12	physical	physical	ADJ
fis-1573	72	13	(	(	PUNCT
fis-1573	72	14	p	p	PROPN
fis-1573	72	15	)	)	PUNCT
fis-1573	72	16	and	and	CCONJ
fis-1573	72	17	auxiliary	auxiliary	NOUN
fis-1573	72	18	(	(	PUNCT
fis-1573	72	19	a	a	PROPN
fis-1573	72	20	)	)	PUNCT
fis-1573	72	21	crack	crack	VERB
fis-1573	72	22	faces	face	NOUN
fis-1573	72	23	and	and	CCONJ
fis-1573	72	24	a	a	DET
fis-1573	72	25	material	material	NOUN
fis-1573	72	26	interface	interface	NOUN
fis-1573	72	27	(	(	PUNCT
fis-1573	72	28	i	i	PROPN
fis-1573	72	29	)	)	PUNCT
fis-1573	72	30	.	.	PUNCT
fis-1573	73	1	the	the	DET
fis-1573	73	2	mand	mand	PROPN
fis-1573	73	3	l	l	NOUN
fis-1573	73	4	-	-	PUNCT
fis-1573	73	5	integrals	integral	NOUN
fis-1573	73	6	depend	depend	VERB
fis-1573	73	7	on	on	ADP
fis-1573	73	8	the	the	DET
fis-1573	73	9	origin	origin	NOUN
fis-1573	73	10	of	of	ADP
fis-1573	73	11	the	the	DET
fis-1573	73	12	global	global	ADJ
fis-1573	73	13	coordinate	coordinate	NOUN
fis-1573	73	14	system	system	NOUN
fis-1573	73	15	ke	ke	NOUN
fis-1573	73	16			NOUN
fis-1573	73	17	.	.	PUNCT
fis-1573	74	1	from	from	ADP
fis-1573	74	2	eqs	eqs	PROPN
fis-1573	74	3	.	.	PUNCT
fis-1573	75	1	(	(	PUNCT
fis-1573	75	2	5	5	NUM
fis-1573	75	3	)	)	PUNCT
fis-1573	75	4	and	and	CCONJ
fis-1573	75	5	(	(	PUNCT
fis-1573	75	6	6	6	NUM
fis-1573	75	7	)	)	PUNCT
fis-1573	75	8	and	and	CCONJ
fis-1573	75	9	from	from	ADP
fis-1573	75	10	fig	fig	NOUN
fis-1573	75	11	.	.	PUNCT
fis-1573	76	1	1(a	1(a	NUM
fis-1573	76	2	)	)	PUNCT
fis-1573	77	1	it	it	PRON
fis-1573	77	2	becomes	become	VERB
fis-1573	77	3	clear	clear	ADJ
fis-1573	77	4	that	that	SCONJ
fis-1573	77	5	if	if	SCONJ
fis-1573	77	6	the	the	DET
fis-1573	77	7	global	global	ADJ
fis-1573	77	8	coordinate	coordinate	NOUN
fis-1573	77	9	system	system	NOUN
fis-1573	77	10	coincides	coincide	VERB
fis-1573	77	11	with	with	ADP
fis-1573	77	12	the	the	DET
fis-1573	77	13	crack	crack	NOUN
fis-1573	77	14	tip	tip	NOUN
fis-1573	77	15	coordinate	coordinate	NOUN
fis-1573	77	16	system	system	NOUN
fis-1573	77	17	(	(	PUNCT
fis-1573	77	18	)	)	PUNCT
fis-1573	77	19	i	i	PRON
fis-1573	77	20	ke	ke	VERB
fis-1573	77	21			NOUN
fis-1573	77	22	,	,	PUNCT
fis-1573	77	23	mand	mand	NOUN
fis-1573	77	24	lintegrals	lintegral	NOUN
fis-1573	77	25	vanish	vanish	VERB
fis-1573	77	26	as	as	ADP
fis-1573	77	27	0kx	0kx	ADJ
fis-1573	77	28			NOUN
fis-1573	77	29	.	.	PUNCT
fis-1573	78	1	otherwise	otherwise	ADV
fis-1573	78	2	,	,	PUNCT
fis-1573	78	3	if	if	SCONJ
fis-1573	78	4	the	the	DET
fis-1573	78	5	vector	vector	NOUN
fis-1573	78	6	0	0	NUM
fis-1573	78	7	kx	kx	PROPN
fis-1573	78	8	is	be	AUX
fis-1573	78	9	pointing	point	VERB
fis-1573	78	10	from	from	ADP
fis-1573	78	11	the	the	DET
fis-1573	78	12	origin	origin	NOUN
fis-1573	78	13	of	of	ADP
fis-1573	78	14	the	the	DET
fis-1573	78	15	global	global	ADJ
fis-1573	78	16	frame	frame	NOUN
fis-1573	78	17	to	to	ADP
fis-1573	78	18	the	the	DET
fis-1573	78	19	crack	crack	NOUN
fis-1573	78	20	tip	tip	NOUN
fis-1573	78	21	and	and	CCONJ
fis-1573	78	22	thus	thus	ADV
fis-1573	78	23	0	0	NUM
fis-1573	79	1	k	k	X
fis-1573	79	2	k	k	PROPN
fis-1573	79	3	kx	kx	PROPN
fis-1573	79	4	x	x	PROPN
fis-1573	79	5	x	x	PROPN
fis-1573	79	6			X
fis-1573	79	7			PUNCT
fis-1573	79	8	,	,	PUNCT
fis-1573	79	9	mand	mand	PROPN
fis-1573	79	10	l	l	NOUN
fis-1573	79	11	-	-	PUNCT
fis-1573	79	12	integrals	integral	NOUN
fis-1573	79	13	are	be	AUX
fis-1573	79	14	finite	finite	ADJ
fis-1573	79	15	and	and	CCONJ
fis-1573	79	16	represent	represent	VERB
fis-1573	79	17	the	the	DET
fis-1573	79	18	scalar	scalar	ADJ
fis-1573	79	19	and	and	CCONJ
fis-1573	79	20	vector	vector	NOUN
fis-1573	79	21	moments	moment	NOUN
fis-1573	79	22	induced	induce	VERB
fis-1573	79	23	by	by	ADP
fis-1573	79	24	the	the	DET
fis-1573	79	25	crack	crack	NOUN
fis-1573	79	26	driving	driving	NOUN
fis-1573	79	27	force	force	PROPN
fis-1573	79	28	jk	jk	PROPN
fis-1573	79	29	.	.	PUNCT
fis-1573	80	1	this	this	DET
fis-1573	80	2	feature	feature	NOUN
fis-1573	80	3	can	can	AUX
fis-1573	80	4	be	be	AUX
fis-1573	80	5	applied	apply	VERB
fis-1573	80	6	to	to	ADP
fis-1573	80	7	the	the	DET
fis-1573	80	8	separation	separation	NOUN
fis-1573	80	9	of	of	ADP
fis-1573	80	10	crack	crack	NOUN
fis-1573	80	11	tip	tip	NOUN
fis-1573	80	12	loadings	loading	NOUN
fis-1573	80	13	in	in	ADP
fis-1573	80	14	two	two	NUM
fis-1573	80	15	-	-	PUNCT
fis-1573	80	16	cracks	crack	NOUN
fis-1573	80	17	systems	system	NOUN
fis-1573	80	18	by	by	ADP
fis-1573	80	19	a	a	DET
fis-1573	80	20	global	global	ADJ
fis-1573	80	21	approach	approach	NOUN
fis-1573	80	22	,	,	PUNCT
fis-1573	80	23	i.e.	i.e.	X
fis-1573	80	24	by	by	ADP
fis-1573	80	25	calculating	calculate	VERB
fis-1573	80	26	the	the	DET
fis-1573	80	27	integrals	integral	NOUN
fis-1573	80	28	along	along	ADP
fis-1573	80	29	remote	remote	ADJ
fis-1573	80	30	contours	contours	NOUN
fis-1573	80	31	including	include	VERB
fis-1573	80	32	both	both	CCONJ
fis-1573	80	33	crack	crack	VERB
fis-1573	80	34	tips	tip	NOUN
fis-1573	80	35	[	[	X
fis-1573	80	36	14	14	NUM
fis-1573	80	37	]	]	PUNCT
fis-1573	80	38	.	.	PUNCT
fis-1573	81	1	the	the	DET
fis-1573	81	2	ik	ik	ADJ
fis-1573	81	3	-	-	ADJ
fis-1573	81	4	integral	integral	ADJ
fis-1573	81	5	represents	represent	VERB
fis-1573	81	6	the	the	DET
fis-1573	81	7	interaction	interaction	NOUN
fis-1573	81	8	of	of	ADP
fis-1573	81	9	two	two	NUM
fis-1573	81	10	loading	loading	NOUN
fis-1573	81	11	scenarios	scenario	NOUN
fis-1573	81	12	at	at	ADP
fis-1573	81	13	a	a	DET
fis-1573	81	14	crack	crack	NOUN
fis-1573	81	15	,	,	PUNCT
fis-1573	81	16	i.e.	i.e.	X
fis-1573	81	17	the	the	DET
fis-1573	81	18	physical	physical	ADJ
fis-1573	81	19	(	(	PUNCT
fis-1573	81	20	a	a	NOUN
fis-1573	81	21	)	)	PUNCT
fis-1573	81	22	and	and	CCONJ
fis-1573	81	23	an	an	DET
fis-1573	81	24	auxiliary	auxiliary	ADJ
fis-1573	81	25	(	(	PUNCT
fis-1573	81	26	b	b	NOUN
fis-1573	81	27	)	)	PUNCT
fis-1573	81	28	loading	loading	NOUN
fis-1573	81	29	[	[	X
fis-1573	81	30	11	11	NUM
fis-1573	81	31	]	]	PUNCT
fis-1573	81	32	.	.	PUNCT
fis-1573	82	1	ik	ik	PROPN
fis-1573	82	2	is	be	AUX
fis-1573	82	3	derived	derive	VERB
fis-1573	82	4	by	by	ADP
fis-1573	82	5	substituting	substitute	VERB
fis-1573	82	6	the	the	DET
fis-1573	82	7	superimposed	superimpose	VERB
fis-1573	82	8	stress	stress	NOUN
fis-1573	82	9	and	and	CCONJ
fis-1573	82	10	displacement	displacement	NOUN
fis-1573	82	11	fields	field	NOUN
fis-1573	82	12	(	(	PUNCT
fis-1573	82	13	a	a	X
fis-1573	82	14	)	)	PUNCT
fis-1573	82	15	+	+	ADJ
fis-1573	82	16	(	(	PUNCT
fis-1573	82	17	b	b	NOUN
fis-1573	82	18	)	)	PUNCT
fis-1573	82	19	(	(	PUNCT
fis-1573	82	20	)	)	PUNCT
fis-1573	82	21	(	(	PUNCT
fis-1573	82	22	)	)	PUNCT
fis-1573	83	1	a	a	DET
fis-1573	83	2	b	b	NOUN
fis-1573	84	1	i	i	PRON
fis-1573	85	1	i	i	PRON
fis-1573	86	1	iu	iu	VERB
fis-1573	86	2	u	u	PROPN
fis-1573	86	3	u	u	X
fis-1573	86	4			PUNCT
fis-1573	86	5	and	and	CCONJ
fis-1573	86	6	(	(	PUNCT
fis-1573	86	7	a	a	X
fis-1573	86	8	)	)	PUNCT
fis-1573	86	9	+	+	ADJ
fis-1573	86	10	(	(	PUNCT
fis-1573	86	11	b	b	NOUN
fis-1573	86	12	)	)	PUNCT
fis-1573	86	13	(	(	PUNCT
fis-1573	86	14	)	)	PUNCT
fis-1573	86	15	(	(	PUNCT
fis-1573	86	16	)	)	PUNCT
fis-1573	86	17	a	a	DET
fis-1573	86	18	b	b	NOUN
fis-1573	86	19	ij	ij	INTJ
fis-1573	86	20	ij	ij	INTJ
fis-1573	86	21	ij	ij	ADJ
fis-1573	86	22			PROPN
fis-1573	86	23			NOUN
fis-1573	86	24			VERB
fis-1573	86	25	into	into	ADP
fis-1573	86	26	eq	eq	NOUN
fis-1573	86	27	.	.	PUNCT
fis-1573	87	1	(	(	PUNCT
fis-1573	87	2	4	4	NUM
fis-1573	87	3	)	)	PUNCT
fis-1573	87	4	,	,	PUNCT
fis-1573	87	5	yielding	yield	VERB
fis-1573	87	6	(	(	PUNCT
fis-1573	87	7	a	a	PRON
fis-1573	87	8	)	)	PUNCT
fis-1573	87	9	+	+	ADJ
fis-1573	87	10	(	(	PUNCT
fis-1573	87	11	b	b	NOUN
fis-1573	87	12	)	)	PUNCT
fis-1573	87	13	(	(	PUNCT
fis-1573	87	14	a	a	X
fis-1573	87	15	)	)	PUNCT
fis-1573	88	1	(	(	PUNCT
fis-1573	88	2	b	b	X
fis-1573	88	3	)	)	PUNCT
fis-1573	88	4	k	k	PROPN
fis-1573	89	1	k	k	PROPN
fis-1573	89	2	k	k	PROPN
fis-1573	89	3	kj	kj	PROPN
fis-1573	89	4	j	j	PROPN
fis-1573	89	5	j	j	PROPN
fis-1573	89	6	i	i	PROPN
fis-1573	89	7			ADV
fis-1573	89	8			X
fis-1573	89	9	.	.	PUNCT
fis-1573	90	1	with	with	ADP
fis-1573	90	2	the	the	DET
fis-1573	90	3	interaction	interaction	NOUN
fis-1573	90	4	energy	energy	NOUN
fis-1573	90	5	-	-	PUNCT
fis-1573	90	6	momentum	momentum	NOUN
fis-1573	90	7	tensor	tensor	NOUN
fis-1573	90	8	(	(	PUNCT
fis-1573	90	9	a	a	PROPN
fis-1573	90	10	/	/	SYM
fis-1573	90	11	b	b	NOUN
fis-1573	90	12	)	)	PUNCT
fis-1573	90	13	kjq	kjq	NOUN
fis-1573	90	14	the	the	DET
fis-1573	90	15	ik	ik	ADJ
fis-1573	90	16	-	-	ADJ
fis-1573	90	17	integral	integral	ADJ
fis-1573	90	18	reads	read	NOUN
fis-1573	90	19			NOUN
fis-1573	90	20			PUNCT
fis-1573	90	21			NOUN
fis-1573	91	1			PROPN
fis-1573	91	2	(	(	PUNCT
fis-1573	91	3	a	a	NOUN
fis-1573	91	4	)	)	PUNCT
fis-1573	91	5	(	(	PUNCT
fis-1573	91	6	)	)	PUNCT
fis-1573	91	7	(	(	PUNCT
fis-1573	91	8	b	b	X
fis-1573	91	9	)	)	PUNCT
fis-1573	91	10	(	(	PUNCT
fis-1573	91	11	)	)	PUNCT
fis-1573	91	12	(	(	PUNCT
fis-1573	91	13	)	)	PUNCT
fis-1573	91	14	(	(	PUNCT
fis-1573	91	15	)	)	PUNCT
fis-1573	91	16	(	(	PUNCT
fis-1573	91	17	)	)	PUNCT
fis-1573	91	18	(	(	PUNCT
fis-1573	91	19	)	)	PUNCT
fis-1573	91	20	(	(	PUNCT
fis-1573	91	21	a	a	DET
fis-1573	91	22	/	/	SYM
fis-1573	91	23	b	b	NOUN
fis-1573	91	24	)	)	PUNCT
fis-1573	91	25	,	,	PUNCT
fis-1573	91	26	,	,	PUNCT
fis-1573	91	27	0	0	NUM
fis-1573	91	28	0	0	NUM
fis-1573	91	29	1	1	NUM
fis-1573	91	30	lim	lim	PROPN
fis-1573	91	31	d	d	PROPN
fis-1573	91	32	lim	lim	PROPN
fis-1573	91	33	d	d	PROPN
fis-1573	91	34	.	.	PUNCT
fis-1573	92	1	2	2	NUM
fis-1573	92	2	b	b	PROPN
fis-1573	92	3	a	a	DET
fis-1573	92	4	a	a	DET
fis-1573	92	5	b	b	PROPN
fis-1573	92	6	b	b	PROPN
fis-1573	92	7	a	a	PRON
fis-1573	92	8	k	k	PROPN
fis-1573	92	9	mn	mn	PROPN
fis-1573	93	1	mn	mn	PROPN
fis-1573	94	1	mn	mn	PROPN
fis-1573	95	1	mn	mn	PROPN
fis-1573	96	1	kj	kj	PROPN
fis-1573	97	1	ij	ij	INTJ
fis-1573	98	1	i	i	NOUN
fis-1573	98	2	k	k	PROPN
fis-1573	99	1	ij	ij	INTJ
fis-1573	100	1	i	i	PRON
fis-1573	100	2	k	k	PROPN
fis-1573	101	1	j	j	PROPN
fis-1573	101	2	kj	kj	PROPN
fis-1573	101	3	ji	ji	PROPN
fis-1573	102	1	u	u	PROPN
fis-1573	102	2	u	u	NOUN
fis-1573	102	3	n	n	PROPN
fis-1573	102	4	s	s	NOUN
fis-1573	102	5	q	q	NOUN
fis-1573	102	6	n	n	CCONJ
fis-1573	102	7	s	s	ADJ
fis-1573	102	8			PROPN
fis-1573	102	9			PROPN
fis-1573	102	10			PROPN
fis-1573	103	1			NUM
fis-1573	103	2			X
fis-1573	103	3			X
fis-1573	103	4			NOUN
fis-1573	103	5			PRON
fis-1573	103	6			VERB
fis-1573	103	7			VERB
fis-1573	103	8			PROPN
fis-1573	103	9			PROPN
fis-1573	103	10			ADV
fis-1573	103	11			PROPN
fis-1573	103	12			VERB
fis-1573	103	13			ADJ
fis-1573	103	14			DET
fis-1573	103	15			PROPN
fis-1573	103	16			X
fis-1573	103	17			X
fis-1573	103	18			X
fis-1573	103	19			X
fis-1573	103	20			X
fis-1573	103	21	(	(	PUNCT
fis-1573	103	22	7	7	X
fis-1573	103	23	)	)	PUNCT
fis-1573	103	24	applying	apply	VERB
fis-1573	103	25	finite	finite	ADJ
fis-1573	103	26	integration	integration	NOUN
fis-1573	103	27	contours	contour	NOUN
fis-1573	103	28	,	,	PUNCT
fis-1573	103	29	the	the	DET
fis-1573	103	30	integration	integration	NOUN
fis-1573	103	31	along	along	ADP
fis-1573	103	32	both	both	CCONJ
fis-1573	103	33	the	the	DET
fis-1573	103	34	physical	physical	ADJ
fis-1573	103	35	(	(	PUNCT
fis-1573	103	36	p	p	PROPN
fis-1573	103	37	)	)	PUNCT
fis-1573	103	38	and	and	CCONJ
fis-1573	103	39	the	the	DET
fis-1573	103	40	auxiliary	auxiliary	NOUN
fis-1573	103	41	(	(	PUNCT
fis-1573	103	42	a	a	PROPN
fis-1573	103	43	)	)	PUNCT
fis-1573	103	44	crack	crack	VERB
fis-1573	103	45	faces	face	NOUN
fis-1573	103	46	is	be	AUX
fis-1573	103	47	required	require	VERB
fis-1573	103	48	to	to	PART
fis-1573	103	49	provide	provide	VERB
fis-1573	103	50	path	path	NOUN
fis-1573	103	51	-	-	PUNCT
fis-1573	103	52	independence	independence	NOUN
fis-1573	103	53	[	[	X
fis-1573	103	54	12	12	NUM
fis-1573	103	55	]	]	PUNCT
fis-1573	103	56	.	.	PUNCT
fis-1573	104	1	if	if	SCONJ
fis-1573	104	2	material	material	NOUN
fis-1573	104	3	interfaces	interface	NOUN
fis-1573	104	4	are	be	AUX
fis-1573	104	5	considered	consider	VERB
fis-1573	104	6	,	,	PUNCT
fis-1573	104	7	e.g.	e.g.	ADV
fis-1573	104	8	i	i	ADP
fis-1573	104	9	between	between	ADP
fis-1573	104	10	material	material	NOUN
fis-1573	104	11	a	a	PRON
fis-1573	104	12	and	and	CCONJ
fis-1573	104	13	b	b	NOUN
fis-1573	104	14	in	in	ADP
fis-1573	104	15	fig	fig	NOUN
fis-1573	104	16	.	.	PUNCT
fis-1573	105	1	1(b	1(b	NUM
fis-1573	105	2	)	)	PUNCT
fis-1573	105	3	,	,	PUNCT
fis-1573	105	4	integration	integration	NOUN
fis-1573	105	5	along	along	ADP
fis-1573	105	6	the	the	DET
fis-1573	105	7	interfaces	interface	NOUN
fis-1573	105	8	is	be	AUX
fis-1573	105	9	required	require	VERB
fis-1573	105	10	in	in	ADP
fis-1573	105	11	eqs	eqs	PROPN
fis-1573	105	12	.	.	PUNCT
fis-1573	106	1	(	(	PUNCT
fis-1573	106	2	4	4	NUM
fis-1573	106	3	)	)	PUNCT
fis-1573	106	4	(	(	PUNCT
fis-1573	106	5	7	7	X
fis-1573	106	6	)	)	PUNCT
fis-1573	106	7	for	for	ADP
fis-1573	106	8	the	the	DET
fis-1573	106	9	sake	sake	NOUN
fis-1573	106	10	of	of	ADP
fis-1573	106	11	path	path	NOUN
fis-1573	106	12	-	-	PUNCT
fis-1573	106	13	independence	independence	NOUN
fis-1573	106	14	.	.	PUNCT
fis-1573	107	1	jkand	jkand	PROPN
fis-1573	107	2	ik	ik	NOUN
fis-1573	107	3	-	-	PUNCT
fis-1573	107	4	integrals	integral	NOUN
fis-1573	107	5	accounting	account	VERB
fis-1573	107	6	for	for	ADP
fis-1573	107	7	crack	crack	NOUN
fis-1573	107	8	face	face	NOUN
fis-1573	107	9	and	and	CCONJ
fis-1573	107	10	interface	interface	NOUN
fis-1573	107	11	integrals	integral	NOUN
fis-1573	107	12	read	read	VERB
fis-1573	107	13	0	0	NUM
fis-1573	108	1	p	p	X
fis-1573	108	2	i	i	PRON
fis-1573	108	3	a	a	PRON
fis-1573	108	4	b	b	NOUN
fis-1573	108	5	d	d	X
fis-1573	108	6	d	d	PROPN
fis-1573	108	7	d	d	PROPN
fis-1573	108	8	,	,	PUNCT
fis-1573	108	9	k	k	PROPN
fis-1573	108	10	kj	kj	PROPN
fis-1573	108	11	j	j	PROPN
fis-1573	108	12	kj	kj	PROPN
fis-1573	108	13	j	j	PROPN
fis-1573	108	14	kj	kj	PROPN
fis-1573	108	15	jj	jj	PROPN
fis-1573	108	16	q	q	PROPN
fis-1573	108	17	n	n	PROPN
fis-1573	108	18	s	s	NOUN
fis-1573	108	19	q	q	X
fis-1573	108	20	n	n	PROPN
fis-1573	108	21	s	s	NOUN
fis-1573	108	22	q	q	X
fis-1573	108	23	n	n	PROPN
fis-1573	108	24	s	s	PROPN
fis-1573	108	25			ADJ
fis-1573	108	26			NOUN
fis-1573	108	27			PUNCT
fis-1573	108	28			VERB
fis-1573	108	29			VERB
fis-1573	108	30			PROPN
fis-1573	108	31			ADJ
fis-1573	108	32			PROPN
fis-1573	108	33			PROPN
fis-1573	108	34			X
fis-1573	108	35			PROPN
fis-1573	108	36			PROPN
fis-1573	108	37			ADV
fis-1573	108	38			PROPN
fis-1573	108	39			PROPN
fis-1573	108	40			VERB
fis-1573	108	41			PROPN
fis-1573	108	42			PROPN
fis-1573	108	43			VERB
fis-1573	108	44			PROPN
fis-1573	108	45			PUNCT
fis-1573	108	46			X
fis-1573	108	47	(	(	PUNCT
fis-1573	108	48	8)	8)	NUM
fis-1573	108	49	p.o	p.o	PROPN
fis-1573	108	50	.	.	PROPN
fis-1573	108	51	judt	judt	PROPN
fis-1573	108	52	et	et	PROPN
fis-1573	108	53	alii	alii	PROPN
fis-1573	108	54	,	,	PUNCT
fis-1573	108	55	frattura	frattura	PROPN
fis-1573	108	56	ed	ed	PROPN
fis-1573	108	57	integrità	integrità	PROPN
fis-1573	108	58	strutturale	strutturale	PROPN
fis-1573	108	59	,	,	PUNCT
fis-1573	108	60	34	34	NUM
fis-1573	108	61	(	(	PUNCT
fis-1573	108	62	2015	2015	NUM
fis-1573	108	63	)	)	PUNCT
fis-1573	108	64	208	208	NUM
fis-1573	108	65	-	-	SYM
fis-1573	108	66	215	215	NUM
fis-1573	108	67	;	;	PUNCT
fis-1573	108	68	doi	doi	NOUN
fis-1573	108	69	:	:	PUNCT
fis-1573	108	70	10.3221	10.3221	NUM
fis-1573	108	71	/	/	SYM
fis-1573	108	72	igf	igf	PROPN
fis-1573	108	73	-	-	ADJ
fis-1573	108	74	esis.34.22	esis.34.22	ADJ
fis-1573	108	75	211	211	NUM
fis-1573	108	76	0	0	NUM
fis-1573	109	1	p	p	PRON
fis-1573	109	2	a	a	PRON
fis-1573	110	1	i	i	PRON
fis-1573	110	2	a	a	X
fis-1573	110	3	(	(	PUNCT
fis-1573	110	4	a	a	PROPN
fis-1573	110	5	/	/	SYM
fis-1573	110	6	b	b	NOUN
fis-1573	110	7	)	)	PUNCT
fis-1573	110	8	(	(	PUNCT
fis-1573	110	9	a	a	PROPN
fis-1573	110	10	/	/	SYM
fis-1573	110	11	b	b	NOUN
fis-1573	110	12	)	)	PUNCT
fis-1573	110	13	(	(	PUNCT
fis-1573	110	14	a	a	PROPN
fis-1573	110	15	/	/	SYM
fis-1573	110	16	b	b	NOUN
fis-1573	110	17	)	)	PUNCT
fis-1573	110	18	(	(	PUNCT
fis-1573	110	19	a	a	PRON
fis-1573	110	20	/	/	SYM
fis-1573	110	21	b	b	NOUN
fis-1573	110	22	)	)	PUNCT
fis-1573	110	23	b	b	PROPN
fis-1573	111	1	d	d	NOUN
fis-1573	111	2	d	d	PROPN
fis-1573	111	3	d	d	PROPN
fis-1573	111	4	d	d	PROPN
fis-1573	111	5	,	,	PUNCT
fis-1573	111	6	k	k	PROPN
fis-1573	111	7	kj	kj	PROPN
fis-1573	111	8	j	j	PROPN
fis-1573	112	1	kj	kj	PROPN
fis-1573	112	2	j	j	PROPN
fis-1573	112	3	kj	kj	PROPN
fis-1573	112	4	j	j	PROPN
fis-1573	112	5	kj	kj	PROPN
fis-1573	112	6	ji	ji	PROPN
fis-1573	113	1	q	q	PROPN
fis-1573	113	2	n	n	PROPN
fis-1573	113	3	s	s	NOUN
fis-1573	113	4	q	q	X
fis-1573	113	5	n	n	PROPN
fis-1573	113	6	s	s	NOUN
fis-1573	113	7	q	q	X
fis-1573	113	8	n	n	PROPN
fis-1573	113	9	s	s	NOUN
fis-1573	113	10	q	q	X
fis-1573	113	11	n	n	PROPN
fis-1573	113	12	s	s	PROPN
fis-1573	113	13			PUNCT
fis-1573	113	14			PUNCT
fis-1573	113	15			PROPN
fis-1573	113	16			PROPN
fis-1573	113	17			PUNCT
fis-1573	113	18			VERB
fis-1573	113	19			VERB
fis-1573	113	20			VERB
fis-1573	113	21			PROPN
fis-1573	113	22			ADJ
fis-1573	113	23			PROPN
fis-1573	113	24			ADJ
fis-1573	113	25			PROPN
fis-1573	113	26			PROPN
fis-1573	113	27			INTJ
fis-1573	113	28			PROPN
fis-1573	113	29			ADJ
fis-1573	113	30			PROPN
fis-1573	113	31			PROPN
fis-1573	113	32			ADV
fis-1573	113	33			PUNCT
fis-1573	113	34			PROPN
fis-1573	113	35			PROPN
fis-1573	113	36			VERB
fis-1573	113	37			PROPN
fis-1573	113	38			VERB
fis-1573	113	39			PROPN
fis-1573	113	40			PROPN
fis-1573	113	41			VERB
fis-1573	113	42			PROPN
fis-1573	113	43			VERB
fis-1573	113	44			PROPN
fis-1573	113	45			X
fis-1573	113	46			X
fis-1573	113	47			X
fis-1573	113	48	(	(	PUNCT
fis-1573	113	49	9	9	NUM
fis-1573	113	50	)	)	PUNCT
fis-1573	113	51	and	and	CCONJ
fis-1573	113	52	kjq	kjq	PROPN
fis-1573	113	53			PROPN
fis-1573	113	54			PROPN
fis-1573	113	55			PROPN
fis-1573	113	56			PROPN
fis-1573	113	57	denotes	denote	VERB
fis-1573	113	58	the	the	DET
fis-1573	113	59	jump	jump	NOUN
fis-1573	113	60	of	of	ADP
fis-1573	113	61	the	the	DET
fis-1573	113	62	energy	energy	NOUN
fis-1573	113	63	-	-	PUNCT
fis-1573	113	64	momentum	momentum	NOUN
fis-1573	113	65	tensor	tensor	NOUN
fis-1573	113	66	across	across	ADP
fis-1573	113	67	crack	crack	NOUN
fis-1573	113	68	faces	face	NOUN
fis-1573	113	69	and	and	CCONJ
fis-1573	113	70	interfaces	interface	NOUN
fis-1573	113	71	.	.	PUNCT
fis-1573	114	1	a	a	DET
fis-1573	114	2	local	local	ADJ
fis-1573	114	3	coordinate	coordinate	NOUN
fis-1573	114	4	system	system	NOUN
fis-1573	114	5	*	*	PUNCT
fis-1573	114	6	ke	ke	NOUN
fis-1573	114	7			NOUN
fis-1573	114	8	is	be	AUX
fis-1573	114	9	introduced	introduce	VERB
fis-1573	114	10	,	,	PUNCT
fis-1573	114	11	with	with	ADP
fis-1573	114	12	*	*	PROPN
fis-1573	114	13	1e	1e	X
fis-1573	114	14			ADP
fis-1573	114	15	pointing	point	VERB
fis-1573	114	16	into	into	ADP
fis-1573	114	17	the	the	DET
fis-1573	114	18	tangential	tangential	ADJ
fis-1573	114	19	direction	direction	NOUN
fis-1573	114	20	of	of	ADP
fis-1573	114	21	the	the	DET
fis-1573	114	22	interface	interface	NOUN
fis-1573	114	23	.	.	PUNCT
fis-1573	115	1	the	the	DET
fis-1573	115	2	stress	stress	NOUN
fis-1573	115	3	vector	vector	NOUN
fis-1573	115	4	it	it	PRON
fis-1573	115	5	and	and	CCONJ
fis-1573	115	6	the	the	DET
fis-1573	115	7	tangential	tangential	ADJ
fis-1573	115	8	derivatives	derivative	NOUN
fis-1573	115	9	of	of	ADP
fis-1573	115	10	displacements	displacement	NOUN
fis-1573	115	11	,	,	PUNCT
fis-1573	115	12	1iu	1iu	ADJ
fis-1573	115	13	are	be	AUX
fis-1573	115	14	continuous	continuous	ADJ
fis-1573	115	15	at	at	ADP
fis-1573	115	16	the	the	DET
fis-1573	115	17	interface	interface	NOUN
fis-1573	115	18	.	.	PUNCT
fis-1573	116	1	the	the	DET
fis-1573	116	2	integrand	integrand	NOUN
fis-1573	116	3	related	relate	VERB
fis-1573	116	4	to	to	ADP
fis-1573	116	5	the	the	DET
fis-1573	116	6	jk	jk	PROPN
fis-1573	116	7	-	-	ADJ
fis-1573	116	8	integral	integral	ADJ
fis-1573	116	9	reads	read	NOUN
fis-1573	116	10			NOUN
fis-1573	116	11			SYM
fis-1573	116	12			NOUN
fis-1573	116	13			PUNCT
fis-1573	116	14			NOUN
fis-1573	116	15	ab	ab	ADP
fis-1573	116	16	a	a	DET
fis-1573	116	17	a	a	DET
fis-1573	116	18	(	(	PUNCT
fis-1573	116	19	a	a	NOUN
fis-1573	116	20	)	)	PUNCT
fis-1573	116	21	(	(	PUNCT
fis-1573	116	22	b	b	X
fis-1573	116	23	)	)	PUNCT
fis-1573	116	24	(	(	PUNCT
fis-1573	116	25	)	)	PUNCT
fis-1573	116	26	(	(	PUNCT
fis-1573	116	27	)	)	PUNCT
fis-1573	116	28	(	(	PUNCT
fis-1573	116	29	ab	ab	PROPN
fis-1573	116	30	)	)	PUNCT
fis-1573	116	31	(	(	PUNCT
fis-1573	116	32	b	b	X
fis-1573	116	33	)	)	PUNCT
fis-1573	116	34	(	(	PUNCT
fis-1573	116	35	)	)	PUNCT
fis-1573	116	36	(	(	PUNCT
fis-1573	116	37	a	a	X
fis-1573	116	38	)	)	PUNCT
fis-1573	116	39	(	(	PUNCT
fis-1573	116	40	b	b	X
fis-1573	116	41	)	)	PUNCT
fis-1573	116	42	2	2	NUM
fis-1573	116	43	11	11	NUM
fis-1573	116	44	11	11	NUM
fis-1573	116	45	1,1	1,1	NUM
fis-1573	116	46	12	12	NUM
fis-1573	116	47	1,2	1,2	NUM
fis-1573	116	48	1,2	1,2	NUM
fis-1573	116	49	22	22	NUM
fis-1573	116	50	2,2	2,2	NUM
fis-1573	116	51	2,2	2,2	NUM
fis-1573	116	52	b	b	NOUN
fis-1573	116	53	ab1	ab1	ADV
fis-1573	116	54	,	,	PUNCT
fis-1573	116	55	2j	2j	PROPN
fis-1573	116	56	jq	jq	PROPN
fis-1573	116	57	n	n	CCONJ
fis-1573	116	58	u	u	X
fis-1573	116	59	u	u	X
fis-1573	116	60	u	u	NOUN
fis-1573	116	61	u	u	NOUN
fis-1573	116	62	u	u	ADJ
fis-1573	116	63			PROPN
fis-1573	116	64			PROPN
fis-1573	116	65			PROPN
fis-1573	116	66			ADJ
fis-1573	116	67			PROPN
fis-1573	116	68			PROPN
fis-1573	116	69			X
fis-1573	116	70			PROPN
fis-1573	116	71			PROPN
fis-1573	116	72			PROPN
fis-1573	116	73			PROPN
fis-1573	116	74			PROPN
fis-1573	116	75			NOUN
fis-1573	116	76			NOUN
fis-1573	116	77			PROPN
fis-1573	116	78			VERB
fis-1573	116	79			PROPN
fis-1573	116	80			PROPN
fis-1573	116	81	(	(	PUNCT
fis-1573	116	82	10	10	NUM
fis-1573	116	83	)	)	PUNCT
fis-1573	116	84	with	with	ADP
fis-1573	116	85	(	(	PUNCT
fis-1573	116	86	ab	ab	NOUN
fis-1573	116	87	)	)	PUNCT
fis-1573	116	88	denoting	denote	VERB
fis-1573	116	89	values	value	NOUN
fis-1573	116	90	that	that	PRON
fis-1573	116	91	are	be	AUX
fis-1573	116	92	continuous	continuous	ADJ
fis-1573	116	93	across	across	ADP
fis-1573	116	94	the	the	DET
fis-1573	116	95	material	material	NOUN
fis-1573	116	96	interfaces	interface	NOUN
fis-1573	116	97	.	.	PUNCT
fis-1573	117	1	the	the	DET
fis-1573	117	2	additional	additional	ADJ
fis-1573	117	3	integrand	integrand	NOUN
fis-1573	117	4	related	relate	VERB
fis-1573	117	5	to	to	ADP
fis-1573	117	6	the	the	DET
fis-1573	117	7	ikintegral	ikintegral	ADJ
fis-1573	117	8	reads	read	VERB
fis-1573	117	9			NOUN
fis-1573	117	10			SYM
fis-1573	117	11			NOUN
fis-1573	117	12			SYM
fis-1573	117	13			NOUN
fis-1573	117	14			PUNCT
fis-1573	117	15			NOUN
fis-1573	117	16			PROPN
fis-1573	117	17	a	a	DET
fis-1573	117	18	a	a	PROPN
fis-1573	117	19	/	/	SYM
fis-1573	117	20	b	b	PROPN
fis-1573	117	21	(	(	PUNCT
fis-1573	117	22	b	b	NOUN
fis-1573	117	23	,	,	PUNCT
fis-1573	117	24	a	a	PRON
fis-1573	117	25	)	)	PUNCT
fis-1573	117	26	(	(	PUNCT
fis-1573	117	27	b	b	X
fis-1573	117	28	,	,	PUNCT
fis-1573	117	29	b	b	NOUN
fis-1573	117	30	)	)	PUNCT
fis-1573	117	31	(	(	PUNCT
fis-1573	117	32	a	a	PRON
fis-1573	117	33	,	,	PUNCT
fis-1573	117	34	ab	ab	PROPN
fis-1573	117	35	)	)	PUNCT
fis-1573	117	36	(	(	PUNCT
fis-1573	117	37	a	a	PRON
fis-1573	117	38	,	,	PUNCT
fis-1573	117	39	ab	ab	PROPN
fis-1573	117	40	)	)	PUNCT
fis-1573	117	41	(	(	PUNCT
fis-1573	117	42	b	b	X
fis-1573	117	43	,	,	PUNCT
fis-1573	117	44	a	a	PRON
fis-1573	117	45	)	)	PUNCT
fis-1573	117	46	(	(	PUNCT
fis-1573	117	47	b	b	X
fis-1573	117	48	,	,	PUNCT
fis-1573	117	49	b	b	NOUN
fis-1573	117	50	)	)	PUNCT
fis-1573	117	51	(	(	PUNCT
fis-1573	117	52	a	a	PRON
fis-1573	117	53	,	,	PUNCT
fis-1573	117	54	ab	ab	PROPN
fis-1573	117	55	)	)	PUNCT
fis-1573	117	56	(	(	PUNCT
fis-1573	117	57	b	b	X
fis-1573	117	58	,	,	PUNCT
fis-1573	117	59	a	a	PRON
fis-1573	117	60	)	)	PUNCT
fis-1573	117	61	(	(	PUNCT
fis-1573	117	62	b	b	X
fis-1573	117	63	,	,	PUNCT
fis-1573	117	64	b	b	NOUN
fis-1573	117	65	)	)	PUNCT
fis-1573	117	66	2	2	NUM
fis-1573	117	67	11	11	NUM
fis-1573	117	68	11	11	NUM
fis-1573	117	69	1,1	1,1	NUM
fis-1573	117	70	12	12	NUM
fis-1573	117	71	1,2	1,2	NUM
fis-1573	117	72	1,2	1,2	NUM
fis-1573	117	73	22	22	NUM
fis-1573	117	74	2,2	2,2	NUM
fis-1573	117	75	2,2	2,2	NUM
fis-1573	117	76	b	b	PROPN
fis-1573	117	77	.j	.j	PROPN
fis-1573	118	1	jq	jq	PROPN
fis-1573	118	2	n	n	CCONJ
fis-1573	118	3	u	u	X
fis-1573	118	4	u	u	X
fis-1573	118	5	u	u	NOUN
fis-1573	118	6	u	u	NOUN
fis-1573	118	7	u	u	ADJ
fis-1573	118	8			PROPN
fis-1573	118	9			PROPN
fis-1573	118	10			PROPN
fis-1573	118	11			PROPN
fis-1573	118	12			X
fis-1573	118	13			PROPN
fis-1573	118	14			PROPN
fis-1573	118	15			PROPN
fis-1573	118	16			PROPN
fis-1573	118	17			PROPN
fis-1573	118	18			PROPN
fis-1573	118	19			NOUN
fis-1573	118	20			NOUN
fis-1573	118	21			NOUN
fis-1573	118	22			PROPN
fis-1573	118	23			PROPN
fis-1573	118	24	(	(	PUNCT
fis-1573	118	25	11	11	NUM
fis-1573	118	26	)	)	PUNCT
fis-1573	118	27	bearing	bear	VERB
fis-1573	118	28	in	in	ADP
fis-1573	118	29	mind	mind	NOUN
fis-1573	118	30	that	that	SCONJ
fis-1573	118	31	the	the	DET
fis-1573	118	32	auxiliary	auxiliary	ADJ
fis-1573	118	33	fields	field	NOUN
fis-1573	118	34	do	do	AUX
fis-1573	118	35	not	not	PART
fis-1573	118	36	have	have	VERB
fis-1573	118	37	to	to	PART
fis-1573	118	38	exhibit	exhibit	VERB
fis-1573	118	39	an	an	DET
fis-1573	118	40	interface	interface	NOUN
fis-1573	118	41	,	,	PUNCT
fis-1573	118	42	an	an	DET
fis-1573	118	43	appropriate	appropriate	ADJ
fis-1573	118	44	choice	choice	NOUN
fis-1573	118	45	is	be	AUX
fis-1573	118	46	(	(	PUNCT
fis-1573	118	47	b	b	NOUN
fis-1573	118	48	,	,	PUNCT
fis-1573	118	49	a	a	PRON
fis-1573	118	50	)	)	PUNCT
fis-1573	118	51	=	=	SYM
fis-1573	118	52	(	(	PUNCT
fis-1573	118	53	b	b	NOUN
fis-1573	118	54	,	,	PUNCT
fis-1573	118	55	b	b	NOUN
fis-1573	118	56	)	)	PUNCT
fis-1573	118	57	,	,	PUNCT
fis-1573	118	58	providing	provide	VERB
fis-1573	118	59			NOUN
fis-1573	118	60			PROPN
fis-1573	118	61	a	a	DET
fis-1573	118	62	a	a	PROPN
fis-1573	118	63	/	/	SYM
fis-1573	118	64	b	b	NOUN
fis-1573	118	65	2	2	NUM
fis-1573	118	66	b	b	NOUN
fis-1573	118	67	0j	0j	NOUN
fis-1573	118	68	jq	jq	PROPN
fis-1573	118	69	n	n	PROPN
fis-1573	118	70			PROPN
fis-1573	118	71			VERB
fis-1573	118	72			PROPN
fis-1573	118	73			PROPN
fis-1573	118	74			PROPN
fis-1573	118	75	.	.	PUNCT
fis-1573	119	1	therefore	therefore	ADV
fis-1573	119	2	,	,	PUNCT
fis-1573	119	3	according	accord	VERB
fis-1573	119	4	to	to	ADP
fis-1573	119	5	yu	yu	PROPN
fis-1573	119	6	et	et	PROPN
fis-1573	119	7	al	al	PROPN
fis-1573	119	8	.	.	PUNCT
fis-1573	120	1	[	[	X
fis-1573	120	2	18	18	NUM
fis-1573	120	3	]	]	PUNCT
fis-1573	120	4	,	,	PUNCT
fis-1573	120	5	the	the	DET
fis-1573	120	6	integration	integration	NOUN
fis-1573	120	7	along	along	ADP
fis-1573	120	8	the	the	DET
fis-1573	120	9	interface	interface	NOUN
fis-1573	120	10	should	should	AUX
fis-1573	120	11	be	be	AUX
fis-1573	120	12	superfluous	superfluous	ADJ
fis-1573	120	13	.	.	PUNCT
fis-1573	121	1	our	our	PRON
fis-1573	121	2	investigations	investigation	NOUN
fis-1573	121	3	reveal	reveal	VERB
fis-1573	121	4	,	,	PUNCT
fis-1573	121	5	however	however	ADV
fis-1573	121	6	,	,	PUNCT
fis-1573	121	7	that	that	SCONJ
fis-1573	121	8	the	the	DET
fis-1573	121	9	integral	integral	NOUN
fis-1573	121	10	along	along	ADP
fis-1573	121	11	the	the	DET
fis-1573	121	12	interface	interface	NOUN
fis-1573	121	13	according	accord	VERB
fis-1573	121	14	to	to	ADP
fis-1573	121	15	eq	eq	PROPN
fis-1573	121	16	.	.	PUNCT
fis-1573	122	1	(	(	PUNCT
fis-1573	122	2	9	9	X
fis-1573	122	3	)	)	PUNCT
fis-1573	122	4	must	must	AUX
fis-1573	122	5	not	not	PART
fis-1573	122	6	be	be	AUX
fis-1573	122	7	neglected	neglect	VERB
fis-1573	122	8	.	.	PUNCT
fis-1573	123	1	path	path	NOUN
fis-1573	123	2	-	-	PUNCT
fis-1573	123	3	independence	independence	NOUN
fis-1573	123	4	is	be	AUX
fis-1573	123	5	investigated	investigate	VERB
fis-1573	123	6	at	at	ADP
fis-1573	123	7	a	a	DET
fis-1573	123	8	model	model	NOUN
fis-1573	123	9	with	with	ADP
fis-1573	123	10	a	a	DET
fis-1573	123	11	straight	straight	ADJ
fis-1573	123	12	slant	slant	ADJ
fis-1573	123	13	crack	crack	NOUN
fis-1573	123	14	,	,	PUNCT
fis-1573	123	15	hole	hole	NOUN
fis-1573	123	16	and	and	CCONJ
fis-1573	123	17	interface	interface	NOUN
fis-1573	123	18	as	as	SCONJ
fis-1573	123	19	presented	present	VERB
fis-1573	123	20	by	by	ADP
fis-1573	123	21	judt	judt	NOUN
fis-1573	123	22	and	and	CCONJ
fis-1573	123	23	ricoeur	ricoeur	VERB
fis-1573	123	24	[	[	X
fis-1573	123	25	19	19	NUM
fis-1573	123	26	]	]	PUNCT
fis-1573	123	27	,	,	PUNCT
fis-1573	123	28	where	where	SCONJ
fis-1573	123	29	the	the	DET
fis-1573	123	30	values	value	NOUN
fis-1573	123	31	j2	j2	PROPN
fis-1573	123	32	were	be	AUX
fis-1573	123	33	obtained	obtain	VERB
fis-1573	123	34	without	without	ADP
fis-1573	123	35	special	special	ADJ
fis-1573	123	36	treatment	treatment	NOUN
fis-1573	123	37	of	of	ADP
fis-1573	123	38	the	the	DET
fis-1573	123	39	crack	crack	NOUN
fis-1573	123	40	face	face	NOUN
fis-1573	123	41	integrals	integral	NOUN
fis-1573	123	42	[	[	X
fis-1573	123	43	10	10	NUM
fis-1573	123	44	]	]	PUNCT
fis-1573	123	45	thus	thus	ADV
fis-1573	123	46	being	be	AUX
fis-1573	123	47	inaccurate	inaccurate	ADJ
fis-1573	123	48	.	.	PUNCT
fis-1573	124	1	the	the	DET
fis-1573	124	2	jkand	jkand	PROPN
fis-1573	124	3	ik	ik	NOUN
fis-1573	124	4	-	-	NOUN
fis-1573	124	5	integrals	integral	NOUN
fis-1573	124	6	along	along	ADP
fis-1573	124	7	small	small	ADJ
fis-1573	124	8	circular	circular	ADJ
fis-1573	124	9	contours	contours	NOUN
fis-1573	124	10	enclosing	enclose	VERB
fis-1573	124	11	the	the	DET
fis-1573	124	12	crack	crack	NOUN
fis-1573	124	13	tip	tip	NOUN
fis-1573	124	14	(	(	PUNCT
fis-1573	124	15	denoted	denote	VERB
fis-1573	124	16	as	as	ADP
fis-1573	124	17	local	local	ADJ
fis-1573	124	18	)	)	PUNCT
fis-1573	124	19	are	be	AUX
fis-1573	124	20	compared	compare	VERB
fis-1573	124	21	to	to	ADP
fis-1573	124	22	the	the	DET
fis-1573	124	23	values	value	NOUN
fis-1573	124	24	obtained	obtain	VERB
fis-1573	124	25	by	by	ADP
fis-1573	124	26	the	the	DET
fis-1573	124	27	approach	approach	NOUN
fis-1573	124	28	as	as	SCONJ
fis-1573	124	29	presented	present	VERB
fis-1573	124	30	in	in	ADP
fis-1573	124	31	this	this	DET
fis-1573	124	32	section	section	NOUN
fis-1573	124	33	according	accord	VERB
fis-1573	124	34	to	to	ADP
fis-1573	124	35	eqs	eqs	PROPN
fis-1573	124	36	.	.	PUNCT
fis-1573	125	1	(	(	PUNCT
fis-1573	125	2	8)	8)	NUM
fis-1573	125	3	and	and	CCONJ
fis-1573	125	4	(	(	PUNCT
fis-1573	125	5	9	9	NUM
fis-1573	125	6	)	)	PUNCT
fis-1573	125	7	(	(	PUNCT
fis-1573	125	8	denoted	denote	VERB
fis-1573	125	9	as	as	ADP
fis-1573	125	10	global	global	ADJ
fis-1573	125	11	)	)	PUNCT
fis-1573	125	12	.	.	PUNCT
fis-1573	126	1	furthermore	furthermore	ADV
fis-1573	126	2	,	,	PUNCT
fis-1573	126	3	sif	sif	NOUN
fis-1573	126	4	are	be	AUX
fis-1573	126	5	calculated	calculate	VERB
fis-1573	126	6	for	for	ADP
fis-1573	126	7	a	a	DET
fis-1573	126	8	comparison	comparison	NOUN
fis-1573	126	9	of	of	ADP
fis-1573	126	10	jkand	jkand	ADJ
fis-1573	126	11	ik	ik	NOUN
fis-1573	126	12	-	-	NOUN
fis-1573	126	13	integrals	integral	NOUN
fis-1573	126	14	.	.	PUNCT
fis-1573	127	1	three	three	NUM
fis-1573	127	2	different	different	ADJ
fis-1573	127	3	choices	choice	NOUN
fis-1573	127	4	of	of	ADP
fis-1573	127	5	the	the	DET
fis-1573	127	6	auxiliary	auxiliary	ADJ
fis-1573	127	7	fields	field	NOUN
fis-1573	127	8	are	be	AUX
fis-1573	127	9	considered	consider	VERB
fis-1573	127	10	in	in	ADP
fis-1573	127	11	the	the	DET
fis-1573	127	12	region	region	NOUN
fis-1573	127	13	b	b	PROPN
fis-1573	127	14	(	(	PUNCT
fis-1573	127	15	see	see	VERB
fis-1573	127	16	fig	fig	NOUN
fis-1573	127	17	.	.	PUNCT
fis-1573	128	1	1(b	1(b	NUM
fis-1573	128	2	)	)	PUNCT
fis-1573	128	3	):	):	PUNCT
fis-1573	128	4	a	a	X
fis-1573	128	5	)	)	PUNCT
fis-1573	128	6	the	the	DET
fis-1573	128	7	auxiliary	auxiliary	ADJ
fis-1573	128	8	fields	field	NOUN
fis-1573	128	9	are	be	AUX
fis-1573	128	10	chosen	choose	VERB
fis-1573	128	11	according	accord	VERB
fis-1573	128	12	to	to	ADP
fis-1573	128	13	the	the	DET
fis-1573	128	14	material	material	NOUN
fis-1573	128	15	constants	constant	NOUN
fis-1573	128	16	in	in	ADP
fis-1573	128	17	b	b	NOUN
fis-1573	128	18	,	,	PUNCT
fis-1573	128	19	respectively	respectively	ADV
fis-1573	128	20	;	;	PUNCT
fis-1573	128	21	b	b	X
fis-1573	128	22	)	)	PUNCT
fis-1573	128	23	the	the	DET
fis-1573	128	24	auxiliary	auxiliary	ADJ
fis-1573	128	25	fields	field	NOUN
fis-1573	128	26	are	be	AUX
fis-1573	128	27	chosen	choose	VERB
fis-1573	128	28	according	accord	VERB
fis-1573	128	29	to	to	ADP
fis-1573	128	30	the	the	DET
fis-1573	128	31	material	material	NOUN
fis-1573	128	32	constants	constant	NOUN
fis-1573	128	33	in	in	ADP
fis-1573	128	34	a	a	PRON
fis-1573	128	35	and	and	CCONJ
fis-1573	128	36	the	the	DET
fis-1573	128	37	integration	integration	NOUN
fis-1573	128	38	along	along	ADP
fis-1573	128	39	the	the	DET
fis-1573	128	40	interface	interface	NOUN
fis-1573	128	41	is	be	AUX
fis-1573	128	42	neglected	neglect	VERB
fis-1573	128	43	in	in	ADP
fis-1573	128	44	eq	eq	ADP
fis-1573	128	45	.	.	PUNCT
fis-1573	129	1	(	(	PUNCT
fis-1573	129	2	9	9	NUM
fis-1573	129	3	)	)	PUNCT
fis-1573	129	4	;	;	PUNCT
fis-1573	129	5	c	c	X
fis-1573	129	6	)	)	PUNCT
fis-1573	129	7	the	the	DET
fis-1573	129	8	auxiliary	auxiliary	ADJ
fis-1573	129	9	fields	field	NOUN
fis-1573	129	10	are	be	AUX
fis-1573	129	11	chosen	choose	VERB
fis-1573	129	12	according	accord	VERB
fis-1573	129	13	to	to	ADP
fis-1573	129	14	the	the	DET
fis-1573	129	15	material	material	NOUN
fis-1573	129	16	constants	constant	NOUN
fis-1573	129	17	in	in	ADP
fis-1573	129	18	a	a	PRON
fis-1573	129	19	and	and	CCONJ
fis-1573	129	20	the	the	DET
fis-1573	129	21	ik	ik	ADJ
fis-1573	129	22	-	-	ADJ
fis-1573	129	23	integral	integral	ADJ
fis-1573	129	24	is	be	AUX
fis-1573	129	25	calculated	calculate	VERB
fis-1573	129	26	according	accord	VERB
fis-1573	129	27	to	to	ADP
fis-1573	129	28	eq	eq	PROPN
fis-1573	129	29	.	.	PUNCT
fis-1573	130	1	(	(	PUNCT
fis-1573	130	2	9	9	NUM
fis-1573	130	3	)	)	PUNCT
fis-1573	130	4	.	.	PUNCT
fis-1573	131	1	method	method	PROPN
fis-1573	131	2	j1	j1	PROPN
fis-1573	131	3	or	or	CCONJ
fis-1573	131	4	i1	i1	PROPN
fis-1573	131	5	/	/	PUNCT
fis-1573	131	6	(	(	PUNCT
fis-1573	131	7	n	n	CCONJ
fis-1573	131	8	/	/	SYM
fis-1573	131	9	mm	mm	NOUN
fis-1573	131	10	)	)	PUNCT
fis-1573	131	11	j2	j2	NOUN
fis-1573	131	12	or	or	CCONJ
fis-1573	131	13	i2	i2	PROPN
fis-1573	131	14	/	/	SYM
fis-1573	131	15	(	(	PUNCT
fis-1573	131	16	n	n	CCONJ
fis-1573	131	17	/	/	SYM
fis-1573	131	18	mm	mm	NOUN
fis-1573	131	19	)	)	PUNCT
fis-1573	131	20	ki	ki	PROPN
fis-1573	131	21	/	/	PUNCT
fis-1573	131	22	mpamm	mpamm	PROPN
fis-1573	131	23	kii	kii	PROPN
fis-1573	131	24	/	/	SYM
fis-1573	131	25	mpamm	mpamm	PROPN
fis-1573	131	26	jk	jk	PROPN
fis-1573	131	27	local	local	ADJ
fis-1573	131	28	0.05721	0.05721	NUM
fis-1573	131	29	-0.03304	-0.03304	NOUN
fis-1573	131	30	104.46	104.46	NUM
fis-1573	131	31	33.21	33.21	NUM
fis-1573	131	32	jk	jk	PROPN
fis-1573	131	33	global	global	PROPN
fis-1573	131	34	0.05731	0.05731	NUM
fis-1573	131	35	-0.03301	-0.03301	NOUN
fis-1573	131	36	104.58	104.58	NUM
fis-1573	131	37	33.15	33.15	NUM
fis-1573	131	38	ik	ik	PROPN
fis-1573	131	39	local	local	ADJ
fis-1573	131	40	0.0009954	0.0009954	NUM
fis-1573	131	41	-0.0003162	-0.0003162	NOUN
fis-1573	131	42	104.52	104.52	NUM
fis-1573	131	43	33.21	33.21	NUM
fis-1573	131	44	ik	ik	PROPN
fis-1573	131	45	global	global	ADJ
fis-1573	131	46	0.0009948	0.0009948	PROPN
fis-1573	131	47	-0.0003168	-0.0003168	NOUN
fis-1573	131	48	104.46	104.46	NUM
fis-1573	131	49	33.27	33.27	NUM
fis-1573	131	50	ik	ik	PROPN
fis-1573	131	51	global	global	PROPN
fis-1573	131	52	0.0008242	0.0008242	NUM
fis-1573	131	53	-0.0004517	-0.0004517	PROPN
fis-1573	131	54	86.54	86.54	NUM
fis-1573	131	55	47.43	47.43	NUM
fis-1573	131	56	ik	ik	PROPN
fis-1573	131	57	global	global	ADJ
fis-1573	131	58	0.0009725	0.0009725	NUM
fis-1573	131	59	-0.0003119	-0.0003119	NOUN
fis-1573	131	60	102.12	102.12	NUM
fis-1573	131	61	32.75	32.75	NUM
fis-1573	131	62	table	table	NOUN
fis-1573	131	63	1	1	NUM
fis-1573	131	64	:	:	PUNCT
fis-1573	131	65	numerical	numerical	ADJ
fis-1573	131	66	values	value	NOUN
fis-1573	131	67	of	of	ADP
fis-1573	131	68	local	local	ADJ
fis-1573	131	69	and	and	CCONJ
fis-1573	131	70	global	global	ADJ
fis-1573	131	71	jkand	jkand	PROPN
fis-1573	131	72	ik	ik	NOUN
fis-1573	131	73	-	-	NOUN
fis-1573	131	74	integrals	integral	NOUN
fis-1573	131	75	and	and	CCONJ
fis-1573	131	76	sif	sif	NOUN
fis-1573	131	77	,	,	PUNCT
fis-1573	131	78	three	three	NUM
fis-1573	131	79	different	different	ADJ
fis-1573	131	80	choices	choice	NOUN
fis-1573	131	81	of	of	ADP
fis-1573	131	82	the	the	DET
fis-1573	131	83	auxiliary	auxiliary	ADJ
fis-1573	131	84	fields	field	NOUN
fis-1573	131	85	a	a	DET
fis-1573	131	86	–	–	PUNCT
fis-1573	131	87	c.	c.	NOUN
fis-1573	131	88	from	from	ADP
fis-1573	131	89	the	the	DET
fis-1573	131	90	results	result	NOUN
fis-1573	131	91	in	in	ADP
fis-1573	131	92	tab	tab	NOUN
fis-1573	131	93	.	.	PUNCT
fis-1573	132	1	1	1	NUM
fis-1573	132	2	it	it	PRON
fis-1573	132	3	is	be	AUX
fis-1573	132	4	obvious	obvious	ADJ
fis-1573	132	5	that	that	SCONJ
fis-1573	132	6	path	path	NOUN
fis-1573	132	7	-	-	PUNCT
fis-1573	132	8	independence	independence	NOUN
fis-1573	132	9	is	be	AUX
fis-1573	132	10	only	only	ADV
fis-1573	132	11	retained	retain	VERB
fis-1573	132	12	considering	consider	VERB
fis-1573	132	13	interface	interface	NOUN
fis-1573	132	14	integrals	integral	NOUN
fis-1573	132	15	.	.	PUNCT
fis-1573	133	1	nevertheless	nevertheless	ADV
fis-1573	133	2	,	,	PUNCT
fis-1573	133	3	values	value	NOUN
fis-1573	133	4	for	for	ADP
fis-1573	133	5	the	the	DET
fis-1573	133	6	non	non	ADJ
fis-1573	133	7	-	-	ADJ
fis-1573	133	8	physical	physical	ADJ
fis-1573	133	9	choice	choice	NOUN
fis-1573	133	10	of	of	ADP
fis-1573	133	11	the	the	DET
fis-1573	133	12	auxiliary	auxiliary	ADJ
fis-1573	133	13	fields	field	NOUN
fis-1573	133	14	differ	differ	VERB
fis-1573	133	15	slightly	slightly	ADV
fis-1573	133	16	from	from	ADP
fis-1573	133	17	those	those	PRON
fis-1573	133	18	of	of	ADP
fis-1573	133	19	the	the	DET
fis-1573	133	20	physically	physically	ADV
fis-1573	133	21	motivated	motivated	ADJ
fis-1573	133	22	choice	choice	NOUN
fis-1573	133	23	with	with	ADP
fis-1573	133	24	dissimilar	dissimilar	ADJ
fis-1573	133	25	elastic	elastic	ADJ
fis-1573	133	26	constants	constant	NOUN
fis-1573	133	27	in	in	ADP
fis-1573	133	28	a	a	PRON
fis-1573	133	29	and	and	CCONJ
fis-1573	133	30	b.	b.	PROPN
fis-1573	133	31	anisotropy	anisotropy	NOUN
fis-1573	133	32	in	in	ADP
fis-1573	133	33	elastic	elastic	ADJ
fis-1573	133	34	properties	property	NOUN
fis-1573	133	35	and	and	CCONJ
fis-1573	133	36	fracture	fracture	NOUN
fis-1573	133	37	toughness	toughness	NOUN
fis-1573	133	38	he	he	PRON
fis-1573	133	39	extrusion	extrusion	NOUN
fis-1573	133	40	,	,	PUNCT
fis-1573	133	41	drawing	draw	VERB
fis-1573	133	42	or	or	CCONJ
fis-1573	133	43	rolling	rolling	ADJ
fis-1573	133	44	process	process	NOUN
fis-1573	133	45	applied	apply	VERB
fis-1573	133	46	to	to	ADP
fis-1573	133	47	wrought	wrought	ADJ
fis-1573	133	48	metal	metal	NOUN
fis-1573	133	49	products	product	NOUN
fis-1573	133	50	,	,	PUNCT
fis-1573	133	51	in	in	ADP
fis-1573	133	52	general	general	ADJ
fis-1573	133	53	yields	yield	NOUN
fis-1573	133	54	a	a	DET
fis-1573	133	55	specified	specified	ADJ
fis-1573	133	56	geometric	geometric	ADJ
fis-1573	133	57	orientation	orientation	NOUN
fis-1573	133	58	of	of	ADP
fis-1573	133	59	the	the	DET
fis-1573	133	60	microstructure	microstructure	ADJ
fis-1573	133	61	(	(	PUNCT
fis-1573	133	62	texture	texture	NOUN
fis-1573	133	63	)	)	PUNCT
fis-1573	133	64	and	and	CCONJ
fis-1573	133	65	thus	thus	ADV
fis-1573	133	66	of	of	ADP
fis-1573	133	67	the	the	DET
fis-1573	133	68	material	material	NOUN
fis-1573	133	69	’s	’s	PART
fis-1573	133	70	mechanical	mechanical	ADJ
fis-1573	133	71	properties	property	NOUN
fis-1573	133	72	.	.	PUNCT
fis-1573	134	1	the	the	DET
fis-1573	134	2	jk	jk	NOUN
fis-1573	134	3	-	-	NOUN
fis-1573	134	4	integral	integral	ADJ
fis-1573	134	5	according	accord	VERB
fis-1573	134	6	to	to	ADP
fis-1573	134	7	eq	eq	PROPN
fis-1573	134	8	.	.	PUNCT
fis-1573	135	1	(	(	PUNCT
fis-1573	135	2	8)	8)	NUM
fis-1573	135	3	may	may	AUX
fis-1573	135	4	be	be	AUX
fis-1573	135	5	applied	apply	VERB
fis-1573	135	6	straight	straight	ADV
fis-1573	135	7	forwardly	forwardly	ADV
fis-1573	135	8	to	to	PART
fis-1573	135	9	anisotropic	anisotropic	VERB
fis-1573	135	10	elastic	elastic	ADJ
fis-1573	135	11	material	material	NOUN
fis-1573	135	12	[	[	X
fis-1573	135	13	15	15	NUM
fis-1573	135	14	]	]	PUNCT
fis-1573	135	15	.	.	PUNCT
fis-1573	136	1	as	as	SCONJ
fis-1573	136	2	the	the	DET
fis-1573	136	3	near	near	ADJ
fis-1573	136	4	-	-	PUNCT
fis-1573	136	5	tip	tip	NOUN
fis-1573	136	6	stress	stress	NOUN
fis-1573	136	7	t	t	PROPN
fis-1573	136	8	p.o	p.o	PROPN
fis-1573	136	9	.	.	PROPN
fis-1573	136	10	judt	judt	PROPN
fis-1573	136	11	et	et	PROPN
fis-1573	136	12	alii	alii	PROPN
fis-1573	136	13	,	,	PUNCT
fis-1573	136	14	frattura	frattura	PROPN
fis-1573	136	15	ed	ed	PROPN
fis-1573	136	16	integrità	integrità	PROPN
fis-1573	136	17	strutturale	strutturale	PROPN
fis-1573	136	18	,	,	PUNCT
fis-1573	136	19	34	34	NUM
fis-1573	136	20	(	(	PUNCT
fis-1573	136	21	2015	2015	NUM
fis-1573	136	22	)	)	PUNCT
fis-1573	136	23	208	208	NUM
fis-1573	136	24	-	-	SYM
fis-1573	136	25	215	215	NUM
fis-1573	136	26	;	;	PUNCT
fis-1573	136	27	doi	doi	NOUN
fis-1573	136	28	:	:	PUNCT
fis-1573	136	29	10.3221	10.3221	NUM
fis-1573	136	30	/	/	SYM
fis-1573	136	31	igf	igf	PROPN
fis-1573	136	32	-	-	ADJ
fis-1573	136	33	esis.34.22	esis.34.22	ADJ
fis-1573	136	34	212	212	NUM
fis-1573	136	35	and	and	CCONJ
fis-1573	136	36	displacement	displacement	ADJ
fis-1573	136	37	fields	field	NOUN
fis-1573	136	38	differ	differ	VERB
fis-1573	136	39	from	from	ADP
fis-1573	136	40	the	the	DET
fis-1573	136	41	isotropic	isotropic	ADJ
fis-1573	136	42	case	case	NOUN
fis-1573	136	43	,	,	PUNCT
fis-1573	136	44	the	the	DET
fis-1573	136	45	relation	relation	NOUN
fis-1573	136	46	between	between	ADP
fis-1573	136	47	jk	jk	PROPN
fis-1573	136	48	-	-	ADJ
fis-1573	136	49	integral	integral	ADJ
fis-1573	136	50	and	and	CCONJ
fis-1573	136	51	sif	sif	NOUN
fis-1573	136	52	must	must	AUX
fis-1573	136	53	be	be	AUX
fis-1573	136	54	adapted	adapt	VERB
fis-1573	136	55	.	.	PUNCT
fis-1573	137	1	furthermore	furthermore	ADV
fis-1573	137	2	,	,	PUNCT
fis-1573	137	3	due	due	ADP
fis-1573	137	4	to	to	ADP
fis-1573	137	5	the	the	DET
fis-1573	137	6	rolling	rolling	ADJ
fis-1573	137	7	process	process	NOUN
fis-1573	137	8	,	,	PUNCT
fis-1573	137	9	anisotropic	anisotropic	NOUN
fis-1573	137	10	fracture	fracture	NOUN
fis-1573	137	11	toughness	toughness	NOUN
fis-1573	137	12	is	be	AUX
fis-1573	137	13	observed	observe	VERB
fis-1573	137	14	.	.	PUNCT
fis-1573	138	1	in	in	ADP
fis-1573	138	2	plates	plate	NOUN
fis-1573	138	3	of	of	ADP
fis-1573	138	4	al-7075	al-7075	NOUN
fis-1573	138	5	-	-	PUNCT
fis-1573	138	6	t651	t651	PROPN
fis-1573	138	7	,	,	PUNCT
fis-1573	138	8	the	the	DET
fis-1573	138	9	crack	crack	NOUN
fis-1573	138	10	resistance	resistance	NOUN
fis-1573	138	11	in	in	ADP
fis-1573	138	12	the	the	DET
fis-1573	138	13	rolling	rolling	ADJ
fis-1573	138	14	direction	direction	NOUN
fis-1573	138	15	(	(	PUNCT
fis-1573	138	16	rd	rd	NOUN
fis-1573	138	17	)	)	PUNCT
fis-1573	138	18	is	be	AUX
fis-1573	138	19	smaller	small	ADJ
fis-1573	138	20	than	than	ADP
fis-1573	138	21	in	in	ADP
fis-1573	138	22	the	the	DET
fis-1573	138	23	transverse	transverse	NOUN
fis-1573	138	24	direction	direction	NOUN
fis-1573	138	25	(	(	PUNCT
fis-1573	138	26	td	td	NOUN
fis-1573	138	27	)	)	PUNCT
fis-1573	138	28	,	,	PUNCT
fis-1573	138	29	rd	rd	NOUN
fis-1573	138	30	td	td	NOUN
fis-1573	138	31	c	c	PROPN
fis-1573	138	32	cg	cg	NOUN
fis-1573	138	33	g	g	ADV
fis-1573	138	34	,	,	PUNCT
fis-1573	138	35	thus	thus	ADV
fis-1573	138	36	depending	depend	VERB
fis-1573	138	37	on	on	ADP
fis-1573	138	38	the	the	DET
fis-1573	138	39	global	global	ADJ
fis-1573	138	40	angle	angle	PROPN
fis-1573	138	41	α	α	NOUN
fis-1573	138	42	.	.	PUNCT
fis-1573	139	1	the	the	DET
fis-1573	139	2	crack	crack	NOUN
fis-1573	139	3	resistance	resistance	NOUN
fis-1573	139	4	anisotropy	anisotropy	NOUN
fis-1573	139	5	is	be	AUX
fis-1573	139	6	accounted	account	VERB
fis-1573	139	7	for	for	ADP
fis-1573	139	8	in	in	ADP
fis-1573	139	9	the	the	DET
fis-1573	139	10	fracture	fracture	NOUN
fis-1573	139	11	criterion	criterion	NOUN
fis-1573	139	12	by	by	ADP
fis-1573	139	13	introducing	introduce	VERB
fis-1573	139	14	an	an	DET
fis-1573	139	15	elliptic	elliptic	ADJ
fis-1573	139	16	interpolation	interpolation	NOUN
fis-1573	139	17	function	function	NOUN
fis-1573	139	18	c	c	X
fis-1573	139	19	(	(	PUNCT
fis-1573	139	20	)	)	PUNCT
fis-1573	139	21	g	g	NOUN
fis-1573	139	22			NUM
fis-1573	139	23	.	.	PUNCT
fis-1573	140	1	the	the	DET
fis-1573	140	2	err	err	NOUN
fis-1573	140	3	is	be	AUX
fis-1573	140	4	the	the	DET
fis-1573	140	5	projection	projection	NOUN
fis-1573	140	6	of	of	ADP
fis-1573	140	7	the	the	DET
fis-1573	140	8	jk	jk	PROPN
fis-1573	140	9	-	-	NOUN
fis-1573	140	10	vector	vector	NOUN
fis-1573	140	11	onto	onto	ADP
fis-1573	140	12	the	the	DET
fis-1573	140	13	crack	crack	NOUN
fis-1573	140	14	growth	growth	NOUN
fis-1573	140	15	direction	direction	NOUN
fis-1573	140	16	and	and	CCONJ
fis-1573	140	17	thus	thus	ADV
fis-1573	140	18	can	can	AUX
fis-1573	140	19	be	be	AUX
fis-1573	140	20	written	write	VERB
fis-1573	140	21	as	as	ADP
fis-1573	140	22	a	a	DET
fis-1573	140	23	function	function	NOUN
fis-1573	140	24	of	of	ADP
fis-1573	140	25	α	α	NOUN
fis-1573	140	26	.	.	PUNCT
fis-1573	141	1	finally	finally	ADV
fis-1573	141	2	,	,	PUNCT
fis-1573	141	3	the	the	DET
fis-1573	141	4	maximum	maximum	ADJ
fis-1573	141	5	value	value	NOUN
fis-1573	141	6	of	of	ADP
fis-1573	141	7	the	the	DET
fis-1573	141	8	ratio	ratio	NOUN
fis-1573	141	9	r	r	NOUN
fis-1573	141	10	(	(	PUNCT
fis-1573	141	11	)	)	PUNCT
fis-1573	141	12	/	/	SYM
fis-1573	141	13	(	(	PUNCT
fis-1573	141	14	)	)	PUNCT
fis-1573	141	15	cg	cg	NOUN
fis-1573	141	16	g	g	NOUN
fis-1573	141	17	g	g	NOUN
fis-1573	141	18			NOUN
fis-1573	141	19	provides	provide	VERB
fis-1573	141	20	the	the	DET
fis-1573	141	21	crack	crack	NOUN
fis-1573	141	22	deflection	deflection	NOUN
fis-1573	141	23	angle	angle	NOUN
fis-1573	141	24	.	.	PUNCT
fis-1573	142	1	in	in	ADP
fis-1573	142	2	rolled	roll	VERB
fis-1573	142	3	plates	plate	NOUN
fis-1573	142	4	of	of	ADP
fis-1573	142	5	al-7075	al-7075	NOUN
fis-1573	142	6	-	-	PUNCT
fis-1573	142	7	t651	t651	PROPN
fis-1573	142	8	,	,	PUNCT
fis-1573	142	9	the	the	DET
fis-1573	142	10	anisotropy	anisotropy	NOUN
fis-1573	142	11	of	of	ADP
fis-1573	142	12	the	the	DET
fis-1573	142	13	crack	crack	NOUN
fis-1573	142	14	resistance	resistance	NOUN
fis-1573	142	15	is	be	AUX
fis-1573	142	16	measured	measure	VERB
fis-1573	142	17	by	by	ADP
fis-1573	142	18	standard	standard	ADJ
fis-1573	142	19	ct	ct	NUM
fis-1573	142	20	tests	test	NOUN
fis-1573	142	21	providing	provide	VERB
fis-1573	142	22	rd	rd	ADP
fis-1573	142	23	9.0cg	9.0cg	NUM
fis-1573	142	24			NUM
fis-1573	142	25	n	n	CCONJ
fis-1573	142	26	/	/	SYM
fis-1573	142	27	mm	mm	PROPN
fis-1573	142	28	and	and	CCONJ
fis-1573	142	29	td	td	NOUN
fis-1573	142	30	11.4cg	11.4cg	NUM
fis-1573	142	31			NUM
fis-1573	142	32	n	n	CCONJ
fis-1573	142	33	/	/	SYM
fis-1573	142	34	mm	mm	PROPN
fis-1573	142	35	.	.	PUNCT
fis-1573	143	1	the	the	DET
fis-1573	143	2	ratio	ratio	NOUN
fis-1573	143	3	of	of	ADP
fis-1573	143	4	fracture	fracture	ADJ
fis-1573	143	5	toughness	toughness	NOUN
fis-1573	143	6	anisotropy	anisotropy	NOUN
fis-1573	143	7	,	,	PUNCT
fis-1573	143	8	i.e.	i.e.	X
fis-1573	143	9	td	td	NOUN
fis-1573	143	10	rd/	rd/	NOUN
fis-1573	143	11	1.12c	1.12c	NUM
fis-1573	143	12	cg	cg	NOUN
fis-1573	143	13	g	g	NOUN
fis-1573	143	14			PROPN
fis-1573	143	15			ADJ
fis-1573	143	16	for	for	ADP
fis-1573	143	17	this	this	DET
fis-1573	143	18	material	material	NOUN
fis-1573	143	19	,	,	PUNCT
fis-1573	143	20	is	be	AUX
fis-1573	143	21	an	an	DET
fis-1573	143	22	important	important	ADJ
fis-1573	143	23	parameter	parameter	NOUN
fis-1573	143	24	of	of	ADP
fis-1573	143	25	the	the	DET
fis-1573	143	26	model	model	NOUN
fis-1573	143	27	and	and	CCONJ
fis-1573	143	28	must	must	AUX
fis-1573	143	29	be	be	AUX
fis-1573	143	30	considered	consider	VERB
fis-1573	143	31	for	for	ADP
fis-1573	143	32	the	the	DET
fis-1573	143	33	correct	correct	ADJ
fis-1573	143	34	prediction	prediction	NOUN
fis-1573	143	35	of	of	ADP
fis-1573	143	36	crack	crack	NOUN
fis-1573	143	37	paths	path	NOUN
fis-1573	143	38	[	[	X
fis-1573	143	39	16	16	NUM
fis-1573	143	40	]	]	PUNCT
fis-1573	143	41	.	.	PUNCT
fis-1573	144	1	crack	crack	VERB
fis-1573	144	2	path	path	NOUN
fis-1573	144	3	prediction	prediction	NOUN
fis-1573	144	4	he	he	PRON
fis-1573	144	5	presented	present	VERB
fis-1573	144	6	model	model	NOUN
fis-1573	144	7	is	be	AUX
fis-1573	144	8	applied	apply	VERB
fis-1573	144	9	for	for	ADP
fis-1573	144	10	the	the	DET
fis-1573	144	11	prediction	prediction	NOUN
fis-1573	144	12	of	of	ADP
fis-1573	144	13	crack	crack	NOUN
fis-1573	144	14	paths	path	NOUN
fis-1573	144	15	at	at	ADP
fis-1573	144	16	specimens	specimen	NOUN
fis-1573	144	17	with	with	ADP
fis-1573	144	18	material	material	NOUN
fis-1573	144	19	interfaces	interface	NOUN
fis-1573	144	20	.	.	PUNCT
fis-1573	145	1	the	the	DET
fis-1573	145	2	specimen	speciman	NOUN
fis-1573	145	3	is	be	AUX
fis-1573	145	4	cut	cut	VERB
fis-1573	145	5	from	from	ADP
fis-1573	145	6	a	a	DET
fis-1573	145	7	rolled	roll	VERB
fis-1573	145	8	plate	plate	NOUN
fis-1573	145	9	of	of	ADP
fis-1573	145	10	aluminum	aluminum	NOUN
fis-1573	145	11	alloy	alloy	NOUN
fis-1573	145	12	al-7075	al-7075	NOUN
fis-1573	145	13	-	-	PUNCT
fis-1573	145	14	t651	t651	PROPN
fis-1573	145	15	(	(	PUNCT
fis-1573	145	16	young	young	PROPN
fis-1573	145	17	’s	’s	PART
fis-1573	145	18	modulus	modulus	ADJ
fis-1573	145	19	e	e	NOUN
fis-1573	145	20	=	=	SYM
fis-1573	145	21	72000mpa	72000mpa	PROPN
fis-1573	145	22	,	,	PUNCT
fis-1573	145	23	poisson	poisson	PROPN
fis-1573	145	24	’s	’s	PART
fis-1573	145	25	ratio	ratio	NOUN
fis-1573	145	26	ν	ν	NOUN
fis-1573	145	27	=	=	SYM
fis-1573	145	28	0.3	0.3	NUM
fis-1573	145	29	)	)	PUNCT
fis-1573	145	30	and	and	CCONJ
fis-1573	145	31	exhibits	exhibit	VERB
fis-1573	145	32	a	a	DET
fis-1573	145	33	circular	circular	ADJ
fis-1573	145	34	hole	hole	NOUN
fis-1573	145	35	.	.	PUNCT
fis-1573	146	1	the	the	DET
fis-1573	146	2	incipient	incipient	ADJ
fis-1573	146	3	crack	crack	NOUN
fis-1573	146	4	,	,	PUNCT
fis-1573	146	5	exhibiting	exhibit	VERB
fis-1573	146	6	a	a	DET
fis-1573	146	7	length	length	NOUN
fis-1573	146	8	of	of	ADP
fis-1573	146	9	a0	a0	NOUN
fis-1573	146	10	=	=	PROPN
fis-1573	146	11	13.5	13.5	NUM
fis-1573	146	12	mm	mm	NOUN
fis-1573	146	13	,	,	PUNCT
fis-1573	146	14	is	be	AUX
fis-1573	146	15	aligned	align	VERB
fis-1573	146	16	parallel	parallel	ADJ
fis-1573	146	17	to	to	ADP
fis-1573	146	18	the	the	DET
fis-1573	146	19	td	td	NOUN
fis-1573	146	20	.	.	PUNCT
fis-1573	147	1	a	a	DET
fis-1573	147	2	cylindrical	cylindrical	ADJ
fis-1573	147	3	steel	steel	NOUN
fis-1573	147	4	core	core	NOUN
fis-1573	147	5	(	(	PUNCT
fis-1573	147	6	steel	steel	NOUN
fis-1573	147	7	9s20k	9s20k	NOUN
fis-1573	147	8	,	,	PUNCT
fis-1573	147	9	young	young	ADJ
fis-1573	147	10	’s	’s	PART
fis-1573	147	11	modulus	modulus	ADJ
fis-1573	147	12	e	e	NOUN
fis-1573	147	13	=	=	SYM
fis-1573	147	14	210000mpa	210000mpa	NUM
fis-1573	147	15	,	,	PUNCT
fis-1573	147	16	poisson	poisson	PROPN
fis-1573	147	17	’s	’s	PART
fis-1573	147	18	ratio	ratio	NOUN
fis-1573	147	19	ν	ν	NOUN
fis-1573	147	20	=	=	SYM
fis-1573	147	21	0.3	0.3	NUM
fis-1573	147	22	)	)	PUNCT
fis-1573	147	23	is	be	AUX
fis-1573	147	24	grouted	grout	VERB
fis-1573	147	25	into	into	ADP
fis-1573	147	26	the	the	DET
fis-1573	147	27	hole	hole	NOUN
fis-1573	147	28	leading	lead	VERB
fis-1573	147	29	to	to	ADP
fis-1573	147	30	an	an	DET
fis-1573	147	31	initial	initial	ADJ
fis-1573	147	32	stress	stress	NOUN
fis-1573	147	33	distribution	distribution	NOUN
fis-1573	147	34	at	at	ADP
fis-1573	147	35	the	the	DET
fis-1573	147	36	interface	interface	NOUN
fis-1573	147	37	region	region	NOUN
fis-1573	147	38	,	,	PUNCT
fis-1573	147	39	see	see	VERB
fis-1573	147	40	fig	fig	NOUN
fis-1573	147	41	.	.	PUNCT
fis-1573	148	1	2(b	2(b	NUM
fis-1573	148	2	)	)	PUNCT
fis-1573	148	3	.	.	PUNCT
fis-1573	149	1	the	the	DET
fis-1573	149	2	hole	hole	NOUN
fis-1573	149	3	’s	’s	PART
fis-1573	149	4	diameter	diameter	NOUN
fis-1573	149	5	is	be	AUX
fis-1573	149	6	d	d	NOUN
fis-1573	149	7	=	=	SYM
fis-1573	149	8	22	22	NUM
fis-1573	149	9	mm	mm	NOUN
fis-1573	149	10	and	and	CCONJ
fis-1573	149	11	the	the	DET
fis-1573	149	12	diameter	diameter	NOUN
fis-1573	149	13	of	of	ADP
fis-1573	149	14	the	the	DET
fis-1573	149	15	steel	steel	NOUN
fis-1573	149	16	core	core	NOUN
fis-1573	149	17	is	be	AUX
fis-1573	149	18	slightly	slightly	ADV
fis-1573	149	19	larger	large	ADJ
fis-1573	149	20	.	.	PUNCT
fis-1573	150	1	the	the	DET
fis-1573	150	2	clamping	clamping	NOUN
fis-1573	150	3	of	of	ADP
fis-1573	150	4	the	the	DET
fis-1573	150	5	steel	steel	NOUN
fis-1573	150	6	core	core	NOUN
fis-1573	150	7	leads	lead	VERB
fis-1573	150	8	to	to	ADP
fis-1573	150	9	an	an	DET
fis-1573	150	10	initial	initial	ADJ
fis-1573	150	11	stress	stress	NOUN
fis-1573	150	12	distribution	distribution	NOUN
fis-1573	150	13	at	at	ADP
fis-1573	150	14	the	the	DET
fis-1573	150	15	interface	interface	NOUN
fis-1573	150	16	region	region	NOUN
fis-1573	150	17	.	.	PUNCT
fis-1573	151	1	the	the	DET
fis-1573	151	2	calculation	calculation	NOUN
fis-1573	151	3	procedure	procedure	NOUN
fis-1573	151	4	involves	involve	VERB
fis-1573	151	5	an	an	DET
fis-1573	151	6	intelligent	intelligent	ADJ
fis-1573	151	7	remeshing	remeshe	VERB
fis-1573	151	8	algorithm	algorithm	NOUN
fis-1573	151	9	refining	refine	VERB
fis-1573	151	10	the	the	DET
fis-1573	151	11	mesh	mesh	NOUN
fis-1573	151	12	at	at	ADP
fis-1573	151	13	the	the	DET
fis-1573	151	14	crack	crack	NOUN
fis-1573	151	15	faces	face	NOUN
fis-1573	151	16	and	and	CCONJ
fis-1573	151	17	tip	tip	NOUN
fis-1573	151	18	,	,	PUNCT
fis-1573	151	19	and	and	CCONJ
fis-1573	151	20	a	a	DET
fis-1573	151	21	repeated	repeat	VERB
fis-1573	151	22	incremental	incremental	ADJ
fis-1573	151	23	extension	extension	NOUN
fis-1573	151	24	of	of	ADP
fis-1573	151	25	the	the	DET
fis-1573	151	26	crack	crack	NOUN
fis-1573	151	27	.	.	PUNCT
fis-1573	152	1	the	the	DET
fis-1573	152	2	crack	crack	NOUN
fis-1573	152	3	extension	extension	NOUN
fis-1573	152	4	parameter	parameter	NOUN
fis-1573	152	5	is	be	AUX
fis-1573	152	6	chosen	choose	VERB
fis-1573	152	7	0.5a	0.5a	NUM
fis-1573	153	1			NUM
fis-1573	153	2	mm	mm	INTJ
fis-1573	153	3	.	.	PUNCT
fis-1573	154	1	a	a	DET
fis-1573	154	2	numerical	numerical	ADJ
fis-1573	154	3	loading	loading	NOUN
fis-1573	154	4	analysis	analysis	NOUN
fis-1573	154	5	is	be	AUX
fis-1573	154	6	performed	perform	VERB
fis-1573	154	7	applying	apply	VERB
fis-1573	154	8	remote	remote	ADJ
fis-1573	154	9	integration	integration	NOUN
fis-1573	154	10	contours	contours	NOUN
fis-1573	154	11	according	accord	VERB
fis-1573	154	12	to	to	ADP
fis-1573	154	13	section	section	NOUN
fis-1573	154	14	2	2	NUM
fis-1573	154	15	,	,	PUNCT
fis-1573	154	16	providing	provide	VERB
fis-1573	154	17	the	the	DET
fis-1573	154	18	jk	jk	NOUN
fis-1573	154	19	-	-	NOUN
fis-1573	154	20	integral	integral	ADJ
fis-1573	154	21	after	after	ADP
fis-1573	154	22	each	each	DET
fis-1573	154	23	crack	crack	NOUN
fis-1573	154	24	extension	extension	NOUN
fis-1573	154	25	step	step	NOUN
fis-1573	154	26	.	.	PUNCT
fis-1573	155	1	the	the	DET
fis-1573	155	2	crack	crack	NOUN
fis-1573	155	3	deflection	deflection	NOUN
fis-1573	155	4	angle	angle	NOUN
fis-1573	155	5	is	be	AUX
fis-1573	155	6	calculated	calculate	VERB
fis-1573	155	7	according	accord	VERB
fis-1573	155	8	to	to	ADP
fis-1573	155	9	section	section	NOUN
fis-1573	155	10	3	3	NUM
fis-1573	155	11	.	.	PUNCT
fis-1573	156	1	further	further	ADJ
fis-1573	156	2	details	detail	NOUN
fis-1573	156	3	are	be	AUX
fis-1573	156	4	presented	present	VERB
fis-1573	156	5	in	in	ADP
fis-1573	156	6	[	[	X
fis-1573	156	7	16	16	NUM
fis-1573	156	8	]	]	PUNCT
fis-1573	156	9	.	.	PUNCT
fis-1573	157	1	three	three	NUM
fis-1573	157	2	configurations	configuration	NOUN
fis-1573	157	3	of	of	ADP
fis-1573	157	4	the	the	DET
fis-1573	157	5	model	model	NOUN
fis-1573	157	6	with	with	ADP
fis-1573	157	7	different	different	ADJ
fis-1573	157	8	boundary	boundary	ADJ
fis-1573	157	9	conditions	condition	NOUN
fis-1573	157	10	at	at	ADP
fis-1573	157	11	the	the	DET
fis-1573	157	12	hole	hole	NOUN
fis-1573	157	13	are	be	AUX
fis-1573	157	14	investigated	investigate	VERB
fis-1573	157	15	in	in	ADP
fis-1573	157	16	the	the	DET
fis-1573	157	17	simulation	simulation	NOUN
fis-1573	157	18	and	and	CCONJ
fis-1573	157	19	compared	compare	VERB
fis-1573	157	20	with	with	ADP
fis-1573	157	21	the	the	DET
fis-1573	157	22	experiment	experiment	NOUN
fis-1573	157	23	.	.	PUNCT
fis-1573	158	1	in	in	ADP
fis-1573	158	2	configuration	configuration	NOUN
fis-1573	158	3	1	1	NUM
fis-1573	158	4	the	the	DET
fis-1573	158	5	phase	phase	NOUN
fis-1573	158	6	b	b	NOUN
fis-1573	158	7	is	be	AUX
fis-1573	158	8	just	just	ADV
fis-1573	158	9	air	air	NOUN
fis-1573	158	10	,	,	PUNCT
fis-1573	158	11	the	the	DET
fis-1573	158	12	hole	hole	NOUN
fis-1573	158	13	representing	represent	VERB
fis-1573	158	14	a	a	DET
fis-1573	158	15	free	free	ADJ
fis-1573	158	16	boundary	boundary	NOUN
fis-1573	158	17	.	.	PUNCT
fis-1573	159	1	the	the	DET
fis-1573	159	2	configuration	configuration	NOUN
fis-1573	159	3	2	2	NUM
fis-1573	159	4	considers	consider	VERB
fis-1573	159	5	the	the	DET
fis-1573	159	6	material	material	NOUN
fis-1573	159	7	b	b	PROPN
fis-1573	159	8	to	to	PART
fis-1573	159	9	be	be	AUX
fis-1573	159	10	a	a	DET
fis-1573	159	11	steel	steel	NOUN
fis-1573	159	12	core	core	NOUN
fis-1573	159	13	which	which	PRON
fis-1573	159	14	is	be	AUX
fis-1573	159	15	perfectly	perfectly	ADV
fis-1573	159	16	bonded	bond	VERB
fis-1573	159	17	to	to	ADP
fis-1573	159	18	the	the	DET
fis-1573	159	19	aluminum	aluminum	NOUN
fis-1573	159	20	specimen	speciman	NOUN
fis-1573	159	21	.	.	PUNCT
fis-1573	160	1	in	in	ADP
fis-1573	160	2	the	the	DET
fis-1573	160	3	configuration	configuration	NOUN
fis-1573	160	4	3	3	NUM
fis-1573	160	5	the	the	DET
fis-1573	160	6	material	material	NOUN
fis-1573	160	7	b	b	PROPN
fis-1573	160	8	also	also	ADV
fis-1573	160	9	represents	represent	VERB
fis-1573	160	10	a	a	DET
fis-1573	160	11	steel	steel	NOUN
fis-1573	160	12	core	core	NOUN
fis-1573	160	13	,	,	PUNCT
fis-1573	160	14	which	which	PRON
fis-1573	160	15	is	be	AUX
fis-1573	160	16	grouted	grout	VERB
fis-1573	160	17	into	into	ADP
fis-1573	160	18	the	the	DET
fis-1573	160	19	hole	hole	NOUN
fis-1573	160	20	allowing	allow	VERB
fis-1573	160	21	for	for	ADP
fis-1573	160	22	a	a	DET
fis-1573	160	23	separation	separation	NOUN
fis-1573	160	24	of	of	ADP
fis-1573	160	25	the	the	DET
fis-1573	160	26	materials	material	NOUN
fis-1573	160	27	a	a	PRON
fis-1573	160	28	and	and	CCONJ
fis-1573	160	29	b.	b.	NOUN
fis-1573	160	30	to	to	PART
fis-1573	160	31	provide	provide	VERB
fis-1573	160	32	path	path	NOUN
fis-1573	160	33	independence	independence	NOUN
fis-1573	160	34	of	of	ADP
fis-1573	160	35	the	the	DET
fis-1573	160	36	jk	jk	PROPN
fis-1573	160	37	-	-	NOUN
fis-1573	160	38	integral	integral	ADJ
fis-1573	160	39	,	,	PUNCT
fis-1573	160	40	the	the	DET
fis-1573	160	41	integration	integration	NOUN
fis-1573	160	42	along	along	ADP
fis-1573	160	43	the	the	DET
fis-1573	160	44	hole	hole	NOUN
fis-1573	160	45	h	h	PROPN
fis-1573	160	46	is	be	AUX
fis-1573	160	47	considered	consider	VERB
fis-1573	160	48	,	,	PUNCT
fis-1573	160	49	see	see	VERB
fis-1573	160	50	fig	fig	NOUN
fis-1573	160	51	.	.	PUNCT
fis-1573	161	1	2(b	2(b	NUM
fis-1573	161	2	)	)	PUNCT
fis-1573	161	3	.	.	PUNCT
fis-1573	162	1	the	the	DET
fis-1573	162	2	calculated	calculate	VERB
fis-1573	162	3	crack	crack	NOUN
fis-1573	162	4	paths	path	NOUN
fis-1573	162	5	reveal	reveal	VERB
fis-1573	162	6	that	that	SCONJ
fis-1573	162	7	the	the	DET
fis-1573	162	8	impressed	impressed	ADJ
fis-1573	162	9	steel	steel	NOUN
fis-1573	162	10	core	core	NOUN
fis-1573	162	11	,	,	PUNCT
fis-1573	162	12	according	accord	VERB
fis-1573	162	13	to	to	ADP
fis-1573	162	14	configuration	configuration	NOUN
fis-1573	162	15	3	3	NUM
fis-1573	162	16	,	,	PUNCT
fis-1573	162	17	attracts	attract	VERB
fis-1573	162	18	the	the	DET
fis-1573	162	19	crack	crack	NOUN
fis-1573	162	20	even	even	ADV
fis-1573	162	21	stronger	strong	ADJ
fis-1573	162	22	than	than	ADP
fis-1573	162	23	solely	solely	ADV
fis-1573	162	24	a	a	DET
fis-1573	162	25	hole	hole	NOUN
fis-1573	162	26	with	with	ADP
fis-1573	162	27	free	free	ADJ
fis-1573	162	28	surfaces	surface	NOUN
fis-1573	162	29	(	(	PUNCT
fis-1573	162	30	configuration	configuration	NOUN
fis-1573	162	31	1	1	NUM
fis-1573	162	32	)	)	PUNCT
fis-1573	162	33	.	.	PUNCT
fis-1573	163	1	in	in	ADP
fis-1573	163	2	contrast	contrast	NOUN
fis-1573	163	3	to	to	ADP
fis-1573	163	4	configuration	configuration	NOUN
fis-1573	163	5	3	3	NUM
fis-1573	163	6	a	a	DET
fis-1573	163	7	perfectly	perfectly	ADV
fis-1573	163	8	bonded	bond	VERB
fis-1573	163	9	steel	steel	NOUN
fis-1573	163	10	core	core	NOUN
fis-1573	163	11	induces	induce	VERB
fis-1573	163	12	the	the	DET
fis-1573	163	13	crack	crack	NOUN
fis-1573	163	14	to	to	PART
fis-1573	163	15	veer	veer	VERB
fis-1573	163	16	away	away	ADV
fis-1573	163	17	from	from	ADP
fis-1573	163	18	the	the	DET
fis-1573	163	19	core	core	NOUN
fis-1573	163	20	.	.	PUNCT
fis-1573	164	1	similar	similar	ADJ
fis-1573	164	2	results	result	NOUN
fis-1573	164	3	as	as	SCONJ
fis-1573	164	4	observed	observe	VERB
fis-1573	164	5	at	at	ADP
fis-1573	164	6	configuration	configuration	NOUN
fis-1573	164	7	2	2	NUM
fis-1573	164	8	have	have	AUX
fis-1573	164	9	been	be	AUX
fis-1573	164	10	reported	report	VERB
fis-1573	164	11	by	by	ADP
fis-1573	164	12	patton	patton	PROPN
fis-1573	164	13	and	and	CCONJ
fis-1573	164	14	santare	santare	VERB
fis-1573	164	15	[	[	X
fis-1573	164	16	20	20	NUM
fis-1573	164	17	]	]	PUNCT
fis-1573	164	18	,	,	PUNCT
fis-1573	164	19	bouchard	bouchard	PROPN
fis-1573	164	20	et	et	PROPN
fis-1573	164	21	al	al	PROPN
fis-1573	164	22	.	.	PUNCT
fis-1573	165	1	[	[	X
fis-1573	165	2	21	21	NUM
fis-1573	165	3	]	]	PUNCT
fis-1573	165	4	and	and	CCONJ
fis-1573	165	5	nielsen	nielsen	PROPN
fis-1573	165	6	et	et	PROPN
fis-1573	165	7	al	al	PROPN
fis-1573	165	8	.	.	PUNCT
fis-1573	166	1	[	[	X
fis-1573	166	2	22	22	NUM
fis-1573	166	3	]	]	PUNCT
fis-1573	166	4	.	.	PUNCT
fis-1573	167	1	the	the	DET
fis-1573	167	2	crack	crack	NOUN
fis-1573	167	3	path	path	NOUN
fis-1573	167	4	obtained	obtain	VERB
fis-1573	167	5	from	from	ADP
fis-1573	167	6	the	the	DET
fis-1573	167	7	experiment	experiment	NOUN
fis-1573	167	8	,	,	PUNCT
fis-1573	167	9	where	where	SCONJ
fis-1573	167	10	the	the	DET
fis-1573	167	11	boundary	boundary	ADJ
fis-1573	167	12	conditions	condition	NOUN
fis-1573	167	13	of	of	ADP
fis-1573	167	14	configuration	configuration	NOUN
fis-1573	167	15	3	3	NUM
fis-1573	167	16	are	be	AUX
fis-1573	167	17	met	meet	VERB
fis-1573	167	18	,	,	PUNCT
fis-1573	167	19	is	be	AUX
fis-1573	167	20	in	in	ADP
fis-1573	167	21	very	very	ADV
fis-1573	167	22	good	good	ADJ
fis-1573	167	23	agreement	agreement	NOUN
fis-1573	167	24	with	with	ADP
fis-1573	167	25	the	the	DET
fis-1573	167	26	numerically	numerically	ADV
fis-1573	167	27	predicted	predict	VERB
fis-1573	167	28	path	path	NOUN
fis-1573	167	29	.	.	PUNCT
fis-1573	168	1	at	at	ADP
fis-1573	168	2	the	the	DET
fis-1573	168	3	beginning	beginning	NOUN
fis-1573	168	4	,	,	PUNCT
fis-1573	168	5	the	the	DET
fis-1573	168	6	crack	crack	NOUN
fis-1573	168	7	veers	veer	NOUN
fis-1573	168	8	away	away	ADV
fis-1573	168	9	from	from	ADP
fis-1573	168	10	the	the	DET
fis-1573	168	11	steel	steel	NOUN
fis-1573	168	12	core	core	NOUN
fis-1573	168	13	and	and	CCONJ
fis-1573	168	14	is	be	AUX
fis-1573	168	15	then	then	ADV
fis-1573	168	16	strongly	strongly	ADV
fis-1573	168	17	attracted	attract	VERB
fis-1573	168	18	finally	finally	ADV
fis-1573	168	19	ending	end	VERB
fis-1573	168	20	in	in	ADP
fis-1573	168	21	the	the	DET
fis-1573	168	22	hole	hole	NOUN
fis-1573	168	23	.	.	PUNCT
fis-1573	169	1	(	(	PUNCT
fis-1573	169	2	a	a	X
fis-1573	169	3	)	)	PUNCT
fis-1573	169	4	(	(	PUNCT
fis-1573	169	5	b	b	X
fis-1573	169	6	)	)	PUNCT
fis-1573	169	7	figure	figure	NOUN
fis-1573	169	8	2	2	NUM
fis-1573	169	9	:	:	PUNCT
fis-1573	169	10	(	(	PUNCT
fis-1573	169	11	a	a	X
fis-1573	169	12	)	)	PUNCT
fis-1573	169	13	comparison	comparison	NOUN
fis-1573	169	14	of	of	ADP
fis-1573	169	15	experimental	experimental	ADJ
fis-1573	169	16	and	and	CCONJ
fis-1573	169	17	numerically	numerically	ADV
fis-1573	169	18	predicted	predict	VERB
fis-1573	169	19	crack	crack	NOUN
fis-1573	169	20	paths	path	NOUN
fis-1573	169	21	for	for	ADP
fis-1573	169	22	three	three	NUM
fis-1573	169	23	different	different	ADJ
fis-1573	169	24	model	model	NOUN
fis-1573	169	25	configurations	configuration	NOUN
fis-1573	169	26	,	,	PUNCT
fis-1573	169	27	(	(	PUNCT
fis-1573	169	28	b	b	X
fis-1573	169	29	)	)	PUNCT
fis-1573	169	30	aluminum	aluminum	NOUN
fis-1573	169	31	alloy	alloy	NOUN
fis-1573	169	32	specimen	speciman	NOUN
fis-1573	169	33	with	with	ADP
fis-1573	169	34	hole	hole	NOUN
fis-1573	169	35	and	and	CCONJ
fis-1573	169	36	cylindrical	cylindrical	ADJ
fis-1573	169	37	steel	steel	NOUN
fis-1573	169	38	core	core	NOUN
fis-1573	169	39	,	,	PUNCT
fis-1573	169	40	incipient	incipient	ADJ
fis-1573	169	41	crack	crack	NOUN
fis-1573	169	42	length	length	NOUN
fis-1573	169	43	a0	a0	NOUN
fis-1573	169	44	and	and	CCONJ
fis-1573	169	45	loading	loading	NOUN
fis-1573	169	46	p0	p0	PROPN
fis-1573	169	47	t	t	PROPN
fis-1573	169	48	p.o	p.o	PROPN
fis-1573	169	49	.	.	PROPN
fis-1573	169	50	judt	judt	PROPN
fis-1573	169	51	et	et	PROPN
fis-1573	169	52	alii	alii	PROPN
fis-1573	169	53	,	,	PUNCT
fis-1573	169	54	frattura	frattura	PROPN
fis-1573	169	55	ed	ed	PROPN
fis-1573	169	56	integrità	integrità	PROPN
fis-1573	169	57	strutturale	strutturale	PROPN
fis-1573	169	58	,	,	PUNCT
fis-1573	169	59	34	34	NUM
fis-1573	169	60	(	(	PUNCT
fis-1573	169	61	2015	2015	NUM
fis-1573	169	62	)	)	PUNCT
fis-1573	169	63	208	208	NUM
fis-1573	169	64	-	-	SYM
fis-1573	169	65	215	215	NUM
fis-1573	169	66	;	;	PUNCT
fis-1573	169	67	doi	doi	NOUN
fis-1573	169	68	:	:	PUNCT
fis-1573	169	69	10.3221	10.3221	NUM
fis-1573	169	70	/	/	SYM
fis-1573	169	71	igf	igf	PROPN
fis-1573	169	72	-	-	ADJ
fis-1573	169	73	esis.34.22	esis.34.22	PROPN
fis-1573	169	74	213	213	NUM
fis-1573	169	75	application	application	NOUN
fis-1573	169	76	of	of	ADP
fis-1573	169	77	mand	mand	PROPN
fis-1573	169	78	l	l	NOUN
fis-1573	169	79	-	-	PUNCT
fis-1573	169	80	integrals	integral	NOUN
fis-1573	169	81	to	to	PART
fis-1573	169	82	crack	crack	VERB
fis-1573	169	83	tip	tip	NOUN
fis-1573	169	84	plastic	plastic	NOUN
fis-1573	169	85	zones	zone	NOUN
fis-1573	169	86	he	he	PRON
fis-1573	169	87	concept	concept	NOUN
fis-1573	169	88	of	of	ADP
fis-1573	169	89	the	the	DET
fis-1573	169	90	configurational	configurational	ADJ
fis-1573	169	91	forces	force	NOUN
fis-1573	169	92	signifies	signify	VERB
fis-1573	169	93	their	their	PRON
fis-1573	169	94	vanishing	vanishing	NOUN
fis-1573	169	95	in	in	ADP
fis-1573	169	96	a	a	DET
fis-1573	169	97	defect	defect	NOUN
fis-1573	169	98	-	-	PUNCT
fis-1573	169	99	free	free	ADJ
fis-1573	169	100	body	body	NOUN
fis-1573	169	101	.	.	PUNCT
fis-1573	170	1	within	within	ADP
fis-1573	170	2	the	the	DET
fis-1573	170	3	framework	framework	NOUN
fis-1573	170	4	of	of	ADP
fis-1573	170	5	the	the	DET
fis-1573	170	6	fe	fe	NOUN
fis-1573	170	7	-	-	NOUN
fis-1573	170	8	method	method	NOUN
fis-1573	170	9	,	,	PUNCT
fis-1573	170	10	however	however	ADV
fis-1573	170	11	,	,	PUNCT
fis-1573	170	12	it	it	PRON
fis-1573	170	13	is	be	AUX
fis-1573	170	14	observed	observe	VERB
fis-1573	170	15	that	that	SCONJ
fis-1573	170	16	,	,	PUNCT
fis-1573	170	17	depending	depend	VERB
fis-1573	170	18	on	on	ADP
fis-1573	170	19	the	the	DET
fis-1573	170	20	applied	applied	ADJ
fis-1573	170	21	mesh	mesh	NOUN
fis-1573	170	22	,	,	PUNCT
fis-1573	170	23	configurational	configurational	ADJ
fis-1573	170	24	forces	force	NOUN
fis-1573	170	25	arise	arise	VERB
fis-1573	170	26	though	though	SCONJ
fis-1573	170	27	no	no	DET
fis-1573	170	28	defects	defect	NOUN
fis-1573	170	29	are	be	AUX
fis-1573	170	30	existent	existent	ADJ
fis-1573	171	1	[	[	X
fis-1573	171	2	23	23	NUM
fis-1573	171	3	]	]	PUNCT
fis-1573	171	4	.	.	PUNCT
fis-1573	172	1	this	this	DET
fis-1573	172	2	phenomenon	phenomenon	NOUN
fis-1573	172	3	may	may	AUX
fis-1573	172	4	be	be	AUX
fis-1573	172	5	used	use	VERB
fis-1573	172	6	for	for	ADP
fis-1573	172	7	the	the	DET
fis-1573	172	8	adaption	adaption	NOUN
fis-1573	172	9	of	of	ADP
fis-1573	172	10	fe	fe	NOUN
fis-1573	172	11	meshes	mesh	NOUN
fis-1573	172	12	in	in	ADP
fis-1573	172	13	terms	term	NOUN
fis-1573	172	14	of	of	ADP
fis-1573	172	15	vanishing	vanish	VERB
fis-1573	172	16	configurational	configurational	ADJ
fis-1573	172	17	forces	force	NOUN
fis-1573	172	18	at	at	ADP
fis-1573	172	19	internal	internal	ADJ
fis-1573	172	20	nodes	node	NOUN
fis-1573	172	21	[	[	X
fis-1573	172	22	23	23	NUM
fis-1573	172	23	]	]	PUNCT
fis-1573	172	24	,	,	PUNCT
fis-1573	172	25	and	and	CCONJ
fis-1573	172	26	as	as	ADP
fis-1573	172	27	an	an	DET
fis-1573	172	28	error	error	NOUN
fis-1573	172	29	indicator	indicator	NOUN
fis-1573	172	30	of	of	ADP
fis-1573	172	31	the	the	DET
fis-1573	172	32	fe	fe	NOUN
fis-1573	172	33	solution	solution	NOUN
fis-1573	172	34	[	[	X
fis-1573	172	35	24	24	NUM
fis-1573	172	36	]	]	PUNCT
fis-1573	172	37	.	.	PUNCT
fis-1573	173	1	our	our	PRON
fis-1573	173	2	investigations	investigation	NOUN
fis-1573	173	3	confirm	confirm	VERB
fis-1573	173	4	that	that	SCONJ
fis-1573	173	5	these	these	DET
fis-1573	173	6	configurational	configurational	ADJ
fis-1573	173	7	forces	force	NOUN
fis-1573	173	8	depend	depend	VERB
fis-1573	173	9	on	on	ADP
fis-1573	173	10	the	the	DET
fis-1573	173	11	mesh	mesh	NOUN
fis-1573	173	12	and	and	CCONJ
fis-1573	173	13	the	the	DET
fis-1573	173	14	loading	loading	NOUN
fis-1573	173	15	.	.	PUNCT
fis-1573	174	1	however	however	ADV
fis-1573	174	2	,	,	PUNCT
fis-1573	174	3	configurational	configurational	ADJ
fis-1573	174	4	forces	force	NOUN
fis-1573	174	5	in	in	ADP
fis-1573	174	6	an	an	DET
fis-1573	174	7	homogeneous	homogeneous	ADJ
fis-1573	174	8	body	body	NOUN
fis-1573	174	9	are	be	AUX
fis-1573	174	10	small	small	ADJ
fis-1573	174	11	compared	compare	VERB
fis-1573	174	12	to	to	ADP
fis-1573	174	13	those	those	PRON
fis-1573	174	14	resulting	result	VERB
fis-1573	174	15	from	from	ADP
fis-1573	174	16	defects	defect	NOUN
fis-1573	174	17	.	.	PUNCT
fis-1573	175	1	(	(	PUNCT
fis-1573	175	2	a	a	X
fis-1573	175	3	)	)	PUNCT
fis-1573	175	4	(	(	PUNCT
fis-1573	175	5	b	b	X
fis-1573	175	6	)	)	PUNCT
fis-1573	175	7	figure	figure	NOUN
fis-1573	175	8	3	3	NUM
fis-1573	175	9	:	:	PUNCT
fis-1573	175	10	(	(	PUNCT
fis-1573	175	11	a	a	X
fis-1573	175	12	)	)	PUNCT
fis-1573	175	13	integration	integration	NOUN
fis-1573	175	14	contour	contour	NOUN
fis-1573	175	15	0	0	NOUN
fis-1573	175	16	and	and	CCONJ
fis-1573	175	17	c	c	PROPN
fis-1573	175	18	enclosing	enclose	VERB
fis-1573	175	19	the	the	DET
fis-1573	175	20	crack	crack	NOUN
fis-1573	175	21	tip	tip	NOUN
fis-1573	175	22	and	and	CCONJ
fis-1573	175	23	the	the	DET
fis-1573	175	24	plastic	plastic	NOUN
fis-1573	175	25	zone	zone	NOUN
fis-1573	175	26	,	,	PUNCT
fis-1573	175	27	material	material	NOUN
fis-1573	175	28	forces	force	NOUN
fis-1573	175	29	(	(	PUNCT
fis-1573	175	30	)	)	PUNCT
fis-1573	175	31	n	n	CCONJ
fis-1573	175	32	kf	kf	NOUN
fis-1573	175	33	and	and	CCONJ
fis-1573	175	34	the	the	DET
fis-1573	175	35	crack	crack	NOUN
fis-1573	175	36	driving	driving	NOUN
fis-1573	175	37	force	force	PROPN
fis-1573	175	38	jk	jk	PROPN
fis-1573	175	39	,	,	PUNCT
fis-1573	175	40	(	(	PUNCT
fis-1573	175	41	b	b	NOUN
fis-1573	175	42	)	)	PUNCT
fis-1573	175	43	shapes	shape	NOUN
fis-1573	175	44	of	of	ADP
fis-1573	175	45	crack	crack	NOUN
fis-1573	175	46	tip	tip	NOUN
fis-1573	175	47	plastic	plastic	NOUN
fis-1573	175	48	zones	zone	NOUN
fis-1573	175	49	in	in	ADP
fis-1573	175	50	normalized	normalize	VERB
fis-1573	175	51	depiction	depiction	NOUN
fis-1573	176	1	max	max	PROPN
fis-1573	176	2	p	p	PROPN
fis-1573	176	3	p	p	X
fis-1573	176	4	(	(	PUNCT
fis-1573	176	5	)	)	PUNCT
fis-1573	176	6	/r	/r	PUNCT
fis-1573	176	7	r	r	VERB
fis-1573	176	8	from	from	ADP
fis-1573	176	9	the	the	DET
fis-1573	176	10	von	von	PROPN
fis-1573	176	11	mises	mises	PROPN
fis-1573	176	12	yield	yield	VERB
fis-1573	176	13	criterion	criterion	NOUN
fis-1573	176	14	.	.	PUNCT
fis-1573	177	1	a	a	DET
fis-1573	177	2	new	new	ADJ
fis-1573	177	3	application	application	NOUN
fis-1573	177	4	of	of	ADP
fis-1573	177	5	the	the	DET
fis-1573	177	6	configurational	configurational	ADJ
fis-1573	177	7	forces	force	NOUN
fis-1573	177	8	approach	approach	NOUN
fis-1573	177	9	is	be	AUX
fis-1573	177	10	the	the	DET
fis-1573	177	11	separation	separation	NOUN
fis-1573	177	12	of	of	ADP
fis-1573	177	13	the	the	DET
fis-1573	177	14	crack	crack	NOUN
fis-1573	177	15	driving	driving	NOUN
fis-1573	177	16	force	force	NOUN
fis-1573	177	17	and	and	CCONJ
fis-1573	177	18	the	the	DET
fis-1573	177	19	forces	force	NOUN
fis-1573	177	20	acting	act	VERB
fis-1573	177	21	at	at	ADP
fis-1573	177	22	a	a	DET
fis-1573	177	23	plastic	plastic	ADJ
fis-1573	177	24	deformation	deformation	NOUN
fis-1573	177	25	(	(	PUNCT
fis-1573	177	26	)	)	PUNCT
fis-1573	177	27	n	n	CCONJ
fis-1573	177	28	kf	kf	PROPN
fis-1573	177	29	,	,	PUNCT
fis-1573	177	30	see	see	VERB
fis-1573	177	31	fig	fig	NOUN
fis-1573	177	32	.	.	PUNCT
fis-1573	178	1	3(a	3(a	NUM
fis-1573	178	2	)	)	PUNCT
fis-1573	178	3	.	.	PUNCT
fis-1573	179	1	evaluating	evaluate	VERB
fis-1573	179	2	the	the	DET
fis-1573	179	3	mand	mand	NOUN
fis-1573	179	4	l	l	NOUN
fis-1573	179	5	-	-	PUNCT
fis-1573	179	6	integrals	integral	NOUN
fis-1573	179	7	at	at	ADP
fis-1573	179	8	remote	remote	ADJ
fis-1573	179	9	integration	integration	NOUN
fis-1573	179	10	contours	contours	NOUN
fis-1573	179	11	e.g.	e.g.	ADV
fis-1573	179	12	along	along	ADP
fis-1573	179	13	the	the	DET
fis-1573	179	14	external	external	ADJ
fis-1573	179	15	boundaries	boundary	NOUN
fis-1573	179	16	of	of	ADP
fis-1573	179	17	the	the	DET
fis-1573	179	18	model	model	NOUN
fis-1573	179	19	,	,	PUNCT
fis-1573	179	20	as	as	SCONJ
fis-1573	179	21	presented	present	VERB
fis-1573	179	22	in	in	ADP
fis-1573	179	23	section	section	NOUN
fis-1573	179	24	2	2	NUM
fis-1573	179	25	,	,	PUNCT
fis-1573	179	26	the	the	DET
fis-1573	179	27	contribution	contribution	NOUN
fis-1573	179	28	of	of	ADP
fis-1573	179	29	configurational	configurational	ADJ
fis-1573	179	30	forces	force	NOUN
fis-1573	179	31	in	in	ADP
fis-1573	179	32	the	the	DET
fis-1573	179	33	crack	crack	NOUN
fis-1573	179	34	tip	tip	NOUN
fis-1573	179	35	plastic	plastic	NOUN
fis-1573	179	36	zone	zone	NOUN
fis-1573	179	37	in	in	ADP
fis-1573	179	38	general	general	ADJ
fis-1573	179	39	is	be	AUX
fis-1573	179	40	implicitly	implicitly	ADV
fis-1573	179	41	included	include	VERB
fis-1573	179	42	in	in	ADP
fis-1573	179	43	the	the	DET
fis-1573	179	44	result	result	NOUN
fis-1573	179	45	.	.	PUNCT
fis-1573	180	1	in	in	ADP
fis-1573	180	2	contrast	contrast	NOUN
fis-1573	180	3	to	to	ADP
fis-1573	180	4	a	a	DET
fis-1573	180	5	global	global	ADJ
fis-1573	180	6	approach	approach	NOUN
fis-1573	180	7	of	of	ADP
fis-1573	180	8	the	the	DET
fis-1573	180	9	jk	jk	PROPN
fis-1573	180	10	-	-	NOUN
fis-1573	180	11	integral	integral	ADJ
fis-1573	180	12	,	,	PUNCT
fis-1573	180	13	always	always	ADV
fis-1573	180	14	providing	provide	VERB
fis-1573	180	15	the	the	DET
fis-1573	180	16	sum	sum	NOUN
fis-1573	180	17	of	of	ADP
fis-1573	180	18	all	all	DET
fis-1573	180	19	configurational	configurational	ADJ
fis-1573	180	20	forces	force	NOUN
fis-1573	180	21	including	include	VERB
fis-1573	180	22	jk	jk	PROPN
fis-1573	180	23	and	and	CCONJ
fis-1573	180	24	(	(	PUNCT
fis-1573	180	25	)	)	PUNCT
fis-1573	180	26	n	n	CCONJ
fis-1573	180	27	kf	kf	PROPN
fis-1573	180	28	,	,	PUNCT
fis-1573	180	29	the	the	DET
fis-1573	180	30	global	global	ADJ
fis-1573	180	31	approaches	approach	NOUN
fis-1573	180	32	of	of	ADP
fis-1573	180	33	mand	mand	PROPN
fis-1573	180	34	l	l	NOUN
fis-1573	180	35	-	-	PUNCT
fis-1573	180	36	integrals	integral	NOUN
fis-1573	180	37	exclusively	exclusively	ADV
fis-1573	180	38	represent	represent	VERB
fis-1573	180	39	the	the	DET
fis-1573	180	40	contribution	contribution	NOUN
fis-1573	180	41	of	of	ADP
fis-1573	180	42	the	the	DET
fis-1573	180	43	material	material	NOUN
fis-1573	180	44	forces	force	NOUN
fis-1573	180	45	in	in	ADP
fis-1573	180	46	the	the	DET
fis-1573	180	47	plastic	plastic	NOUN
fis-1573	180	48	zone	zone	NOUN
fis-1573	180	49	,	,	PUNCT
fis-1573	180	50	if	if	SCONJ
fis-1573	180	51	the	the	DET
fis-1573	180	52	origin	origin	NOUN
fis-1573	180	53	of	of	ADP
fis-1573	180	54	the	the	DET
fis-1573	180	55	global	global	ADJ
fis-1573	180	56	coordinate	coordinate	NOUN
fis-1573	180	57	system	system	NOUN
fis-1573	180	58	is	be	AUX
fis-1573	180	59	the	the	DET
fis-1573	180	60	crack	crack	NOUN
fis-1573	180	61	tip	tip	NOUN
fis-1573	180	62	.	.	PUNCT
fis-1573	181	1	in	in	ADP
fis-1573	181	2	that	that	DET
fis-1573	181	3	case	case	NOUN
fis-1573	181	4	the	the	DET
fis-1573	181	5	crack	crack	NOUN
fis-1573	181	6	driving	driving	NOUN
fis-1573	181	7	force	force	NOUN
fis-1573	181	8	jk	jk	PROPN
fis-1573	181	9	has	have	VERB
fis-1573	181	10	no	no	DET
fis-1573	181	11	contribution	contribution	NOUN
fis-1573	181	12	to	to	ADP
fis-1573	181	13	m	m	PROPN
fis-1573	181	14	or	or	CCONJ
fis-1573	181	15	l.	l.	X
fis-1573	181	16	the	the	DET
fis-1573	181	17	model	model	NOUN
fis-1573	181	18	of	of	ADP
fis-1573	181	19	a	a	DET
fis-1573	181	20	double	double	ADJ
fis-1573	181	21	cantilever	cantilever	NOUN
fis-1573	181	22	beam	beam	NOUN
fis-1573	181	23	(	(	PUNCT
fis-1573	181	24	dcb	dcb	NOUN
fis-1573	181	25	)	)	PUNCT
fis-1573	181	26	specimen	speciman	NOUN
fis-1573	181	27	with	with	ADP
fis-1573	181	28	different	different	ADJ
fis-1573	181	29	loading	loading	NOUN
fis-1573	181	30	conditions	condition	NOUN
fis-1573	181	31	is	be	AUX
fis-1573	181	32	investigated	investigate	VERB
fis-1573	181	33	,	,	PUNCT
fis-1573	181	34	see	see	VERB
fis-1573	181	35	fig	fig	NOUN
fis-1573	181	36	.	.	PUNCT
fis-1573	182	1	4(a	4(a	NUM
fis-1573	182	2	)	)	PUNCT
fis-1573	182	3	,	,	PUNCT
fis-1573	182	4	including	include	VERB
fis-1573	182	5	a	a	DET
fis-1573	182	6	single	single	ADJ
fis-1573	182	7	mode	mode	NOUN
fis-1573	182	8	-	-	PUNCT
fis-1573	182	9	i	i	PRON
fis-1573	182	10	(	(	PUNCT
fis-1573	182	11	f1	f1	NOUN
fis-1573	182	12	=	=	SYM
fis-1573	182	13	f2	f2	PROPN
fis-1573	182	14	=	=	SYM
fis-1573	182	15	f	f	X
fis-1573	182	16	)	)	PUNCT
fis-1573	182	17	,	,	PUNCT
fis-1573	182	18	a	a	DET
fis-1573	182	19	single	single	ADJ
fis-1573	182	20	mode	mode	NOUN
fis-1573	182	21	-	-	PUNCT
fis-1573	182	22	ii	ii	PROPN
fis-1573	182	23	(	(	PUNCT
fis-1573	182	24	f1	f1	PROPN
fis-1573	182	25	=	=	PROPN
fis-1573	182	26	−f2	−f2	NOUN
fis-1573	182	27	=	=	SYM
fis-1573	182	28	0.5f	0.5f	NOUN
fis-1573	182	29	)	)	PUNCT
fis-1573	182	30	and	and	CCONJ
fis-1573	182	31	a	a	DET
fis-1573	182	32	plane	plane	NOUN
fis-1573	182	33	mixed	mix	VERB
fis-1573	182	34	-	-	PUNCT
fis-1573	182	35	mode	mode	NOUN
fis-1573	182	36	loading	loading	NOUN
fis-1573	182	37	with	with	ADP
fis-1573	182	38	mixed	mixed	ADJ
fis-1573	182	39	mode	mode	NOUN
fis-1573	182	40	ratio	ratio	NOUN
fis-1573	182	41	β	β	X
fis-1573	182	42	=	=	PUNCT
fis-1573	182	43	kii	kii	PROPN
fis-1573	182	44	/	/	SYM
fis-1573	182	45	ki	ki	PROPN
fis-1573	182	46	=	=	PROPN
fis-1573	182	47	−2/3	−2/3	PROPN
fis-1573	182	48	(	(	PUNCT
fis-1573	182	49	f1	f1	NOUN
fis-1573	182	50	=	=	SYM
fis-1573	182	51	f	f	PROPN
fis-1573	182	52	,	,	PUNCT
fis-1573	182	53	f2	f2	ADV
fis-1573	182	54	=	=	NOUN
fis-1573	182	55	0	0	NUM
fis-1573	182	56	)	)	PUNCT
fis-1573	182	57	.	.	PUNCT
fis-1573	183	1	the	the	DET
fis-1573	183	2	material	material	NOUN
fis-1573	183	3	model	model	NOUN
fis-1573	183	4	is	be	AUX
fis-1573	183	5	that	that	PRON
fis-1573	183	6	of	of	ADP
fis-1573	183	7	an	an	DET
fis-1573	183	8	idealized	idealized	ADJ
fis-1573	183	9	linear	linear	ADJ
fis-1573	183	10	elastic	elastic	ADJ
fis-1573	183	11	-	-	PUNCT
fis-1573	183	12	perfectly	perfectly	ADV
fis-1573	183	13	plastic	plastic	ADJ
fis-1573	183	14	behavior	behavior	NOUN
fis-1573	183	15	with	with	ADP
fis-1573	183	16	tensile	tensile	NOUN
fis-1573	183	17	yield	yield	NOUN
fis-1573	183	18	strength	strength	NOUN
fis-1573	183	19	σy	σy	NOUN
fis-1573	183	20	=	=	SYM
fis-1573	183	21	462mpa	462mpa	X
fis-1573	183	22	.	.	PUNCT
fis-1573	184	1	a	a	DET
fis-1573	184	2	first	first	ADJ
fis-1573	184	3	approximation	approximation	NOUN
fis-1573	184	4	of	of	ADP
fis-1573	184	5	the	the	DET
fis-1573	184	6	plastic	plastic	NOUN
fis-1573	184	7	zone	zone	NOUN
fis-1573	184	8	p	p	X
fis-1573	184	9	(	(	PUNCT
fis-1573	184	10	)	)	PUNCT
fis-1573	184	11	r	r	NOUN
fis-1573	184	12			PROPN
fis-1573	184	13	is	be	AUX
fis-1573	184	14	obtained	obtain	VERB
fis-1573	184	15	by	by	ADP
fis-1573	184	16	substituting	substitute	VERB
fis-1573	184	17	the	the	DET
fis-1573	184	18	closed	closed	ADJ
fis-1573	184	19	-	-	PUNCT
fis-1573	184	20	form	form	NOUN
fis-1573	184	21	representation	representation	NOUN
fis-1573	184	22	of	of	ADP
fis-1573	184	23	the	the	DET
fis-1573	184	24	asymptotic	asymptotic	ADJ
fis-1573	184	25	crack	crack	NOUN
fis-1573	184	26	tip	tip	NOUN
fis-1573	184	27	field	field	NOUN
fis-1573	184	28	into	into	ADP
fis-1573	184	29	the	the	DET
fis-1573	184	30	von	von	PROPN
fis-1573	184	31	mises	mises	PROPN
fis-1573	184	32	yield	yield	VERB
fis-1573	184	33	criterion	criterion	NOUN
fis-1573	184	34	for	for	ADP
fis-1573	184	35	the	the	DET
fis-1573	184	36	investigated	investigate	VERB
fis-1573	184	37	mode	mode	NOUN
fis-1573	184	38	cases	case	NOUN
fis-1573	184	39	,	,	PUNCT
fis-1573	184	40	leading	lead	VERB
fis-1573	184	41	to	to	ADP
fis-1573	184	42	the	the	DET
fis-1573	184	43	normalized	normalize	VERB
fis-1573	184	44	shapes	shape	NOUN
fis-1573	184	45	depicted	depict	VERB
fis-1573	184	46	in	in	ADP
fis-1573	184	47	fig	fig	NOUN
fis-1573	184	48	.	.	PUNCT
fis-1573	185	1	3(b	3(b	NUM
fis-1573	185	2	)	)	PUNCT
fis-1573	185	3	.	.	PUNCT
fis-1573	186	1	with	with	ADP
fis-1573	186	2	this	this	PRON
fis-1573	186	3	,	,	PUNCT
fis-1573	186	4	the	the	DET
fis-1573	186	5	extension	extension	NOUN
fis-1573	186	6	of	of	ADP
fis-1573	186	7	the	the	DET
fis-1573	186	8	plastic	plastic	NOUN
fis-1573	186	9	zone	zone	NOUN
fis-1573	186	10	rp	rp	NOUN
fis-1573	186	11	along	along	ADP
fis-1573	186	12	the	the	DET
fis-1573	186	13	ligament	ligament	NOUN
fis-1573	186	14	is	be	AUX
fis-1573	186	15	calculated	calculate	VERB
fis-1573	186	16	according	accord	VERB
fis-1573	186	17	to	to	ADP
fis-1573	186	18	2	2	NUM
fis-1573	186	19	2	2	NUM
fis-1573	187	1	i	i	NOUN
fis-1573	187	2	ii	ii	NOUN
fis-1573	187	3	p	p	NOUN
fis-1573	187	4	2	2	NUM
fis-1573	187	5	y	y	PROPN
fis-1573	187	6	3	3	NUM
fis-1573	187	7	,	,	PUNCT
fis-1573	187	8	2	2	NUM
fis-1573	188	1	k	k	NOUN
fis-1573	188	2	k	k	PROPN
fis-1573	188	3	d	d	PROPN
fis-1573	188	4			NOUN
fis-1573	188	5			PUNCT
fis-1573	188	6			PROPN
fis-1573	188	7	(	(	PUNCT
fis-1573	188	8	12	12	NUM
fis-1573	188	9	)	)	PUNCT
fis-1573	188	10	being	be	AUX
fis-1573	188	11	a	a	DET
fis-1573	188	12	simplified	simplified	ADJ
fis-1573	188	13	measure	measure	NOUN
fis-1573	188	14	for	for	ADP
fis-1573	188	15	the	the	DET
fis-1573	188	16	size	size	NOUN
fis-1573	188	17	of	of	ADP
fis-1573	188	18	the	the	DET
fis-1573	188	19	crack	crack	NOUN
fis-1573	188	20	tip	tip	NOUN
fis-1573	188	21	plastic	plastic	NOUN
fis-1573	188	22	zone	zone	NOUN
fis-1573	188	23	.	.	PUNCT
fis-1573	189	1	the	the	DET
fis-1573	189	2	global	global	ADJ
fis-1573	189	3	mand	mand	PROPN
fis-1573	189	4	l	l	NOUN
fis-1573	189	5	-	-	PUNCT
fis-1573	189	6	integrals	integral	NOUN
fis-1573	189	7	are	be	AUX
fis-1573	189	8	calculated	calculate	VERB
fis-1573	189	9	for	for	ADP
fis-1573	189	10	an	an	DET
fis-1573	189	11	increasing	increase	VERB
fis-1573	189	12	load	load	NOUN
fis-1573	189	13	.	.	PUNCT
fis-1573	190	1	the	the	DET
fis-1573	190	2	calculated	calculated	ADJ
fis-1573	190	3	values	value	NOUN
fis-1573	190	4	mpl	mpl	NOUN
fis-1573	190	5	and	and	CCONJ
fis-1573	190	6	lpl	lpl	PROPN
fis-1573	190	7	must	must	AUX
fis-1573	190	8	be	be	AUX
fis-1573	190	9	corrected	correct	VERB
fis-1573	190	10	considering	consider	VERB
fis-1573	190	11	the	the	DET
fis-1573	190	12	initial	initial	ADJ
fis-1573	190	13	configurational	configurational	ADJ
fis-1573	190	14	forces	force	NOUN
fis-1573	190	15	resulting	result	VERB
fis-1573	190	16	from	from	ADP
fis-1573	190	17	mesh	mesh	NOUN
fis-1573	190	18	and	and	CCONJ
fis-1573	190	19	external	external	ADJ
fis-1573	190	20	loading	loading	NOUN
fis-1573	190	21	.	.	PUNCT
fis-1573	191	1	the	the	DET
fis-1573	191	2	correction	correction	NOUN
fis-1573	191	3	terms	term	NOUN
fis-1573	191	4	are	be	AUX
fis-1573	191	5	obtained	obtain	VERB
fis-1573	191	6	from	from	ADP
fis-1573	191	7	the	the	DET
fis-1573	191	8	global	global	ADJ
fis-1573	191	9	mand	mand	PROPN
fis-1573	191	10	l	l	NOUN
fis-1573	191	11	-	-	PUNCT
fis-1573	191	12	integrals	integral	NOUN
fis-1573	191	13	at	at	ADP
fis-1573	191	14	the	the	DET
fis-1573	191	15	linear	linear	ADJ
fis-1573	191	16	-	-	PUNCT
fis-1573	191	17	elastic	elastic	ADJ
fis-1573	191	18	regime	regime	NOUN
fis-1573	191	19	,	,	PUNCT
fis-1573	191	20	and	and	CCONJ
fis-1573	191	21	thus	thus	ADV
fis-1573	191	22	pl	pl	AUX
fis-1573	191	23	elm	elm	PROPN
fis-1573	191	24	m	m	PRON
fis-1573	191	25	m	m	PROPN
fis-1573	191	26			NOUN
fis-1573	191	27	and	and	CCONJ
fis-1573	191	28	pl	pl	PROPN
fis-1573	191	29	ell	ell	PROPN
fis-1573	191	30	l	l	PROPN
fis-1573	191	31	l	l	NOUN
fis-1573	191	32			VERB
fis-1573	191	33	.	.	PUNCT
fis-1573	192	1	in	in	ADP
fis-1573	192	2	fig	fig	NOUN
fis-1573	192	3	.	.	PUNCT
fis-1573	193	1	4(b	4(b	NUM
fis-1573	193	2	)	)	PUNCT
fis-1573	193	3	t	t	PROPN
fis-1573	193	4	p.o	p.o	PROPN
fis-1573	193	5	.	.	PROPN
fis-1573	193	6	judt	judt	PROPN
fis-1573	193	7	et	et	PROPN
fis-1573	193	8	alii	alii	PROPN
fis-1573	193	9	,	,	PUNCT
fis-1573	193	10	frattura	frattura	PROPN
fis-1573	193	11	ed	ed	PROPN
fis-1573	193	12	integrità	integrità	PROPN
fis-1573	193	13	strutturale	strutturale	PROPN
fis-1573	193	14	,	,	PUNCT
fis-1573	193	15	34	34	NUM
fis-1573	193	16	(	(	PUNCT
fis-1573	193	17	2015	2015	NUM
fis-1573	193	18	)	)	PUNCT
fis-1573	193	19	208	208	NUM
fis-1573	193	20	-	-	SYM
fis-1573	193	21	215	215	NUM
fis-1573	193	22	;	;	PUNCT
fis-1573	193	23	doi	doi	NOUN
fis-1573	193	24	:	:	PUNCT
fis-1573	193	25	10.3221	10.3221	NUM
fis-1573	193	26	/	/	SYM
fis-1573	193	27	igf	igf	PROPN
fis-1573	193	28	-	-	ADJ
fis-1573	193	29	esis.34.22	esis.34.22	PROPN
fis-1573	193	30	214	214	NUM
fis-1573	193	31	corrected	correct	VERB
fis-1573	193	32	m	m	PROPN
fis-1573	193	33	and	and	CCONJ
fis-1573	193	34	l	l	NOUN
fis-1573	193	35	-integrals	-integral	NOUN
fis-1573	193	36	are	be	AUX
fis-1573	193	37	plotted	plot	VERB
fis-1573	193	38	vs.	vs.	ADP
fis-1573	193	39	the	the	DET
fis-1573	193	40	simplified	simplified	ADJ
fis-1573	193	41	theoretical	theoretical	ADJ
fis-1573	193	42	size	size	NOUN
fis-1573	193	43	of	of	ADP
fis-1573	193	44	the	the	DET
fis-1573	193	45	plastic	plastic	NOUN
fis-1573	193	46	zone	zone	NOUN
fis-1573	193	47	according	accord	VERB
fis-1573	193	48	to	to	ADP
fis-1573	193	49	eq	eq	PROPN
fis-1573	193	50	.	.	PUNCT
fis-1573	194	1	(	(	PUNCT
fis-1573	194	2	12	12	NUM
fis-1573	194	3	)	)	PUNCT
fis-1573	194	4	.	.	PUNCT
fis-1573	195	1	the	the	DET
fis-1573	195	2	values	value	NOUN
fis-1573	195	3	are	be	AUX
fis-1573	195	4	normalized	normalize	VERB
fis-1573	195	5	with	with	ADP
fis-1573	195	6	respect	respect	NOUN
fis-1573	195	7	to	to	ADP
fis-1573	195	8	the	the	DET
fis-1573	195	9	maximum	maximum	ADJ
fis-1573	195	10	values	value	NOUN
fis-1573	195	11	max	max	PROPN
fis-1573	195	12	288	288	NUM
fis-1573	195	13	m	m	NOUN
fis-1573	195	14			NOUN
fis-1573	195	15	n	n	ADJ
fis-1573	195	16	and	and	CCONJ
fis-1573	195	17	max	max	PROPN
fis-1573	196	1	p	p	PROPN
fis-1573	197	1	4.4r	4.4r	NUM
fis-1573	198	1			INTJ
fis-1573	198	2	mm	mm	INTJ
fis-1573	198	3	of	of	ADP
fis-1573	198	4	the	the	DET
fis-1573	198	5	mode	mode	NOUN
fis-1573	198	6	-	-	PUNCT
fis-1573	198	7	i	i	PRON
fis-1573	198	8	loading	loading	NOUN
fis-1573	198	9	case	case	NOUN
fis-1573	198	10	.	.	PUNCT
fis-1573	199	1	in	in	ADP
fis-1573	199	2	fig	fig	NOUN
fis-1573	199	3	.	.	PUNCT
fis-1573	200	1	4(b	4(b	NUM
fis-1573	200	2	)	)	PUNCT
fis-1573	201	1	it	it	PRON
fis-1573	201	2	is	be	AUX
fis-1573	201	3	obvious	obvious	ADJ
fis-1573	201	4	that	that	SCONJ
fis-1573	201	5	the	the	DET
fis-1573	201	6	m	m	ADJ
fis-1573	201	7	-	-	ADJ
fis-1573	201	8	integral	integral	ADJ
fis-1573	201	9	increases	increase	NOUN
fis-1573	201	10	as	as	ADP
fis-1573	201	11	the	the	DET
fis-1573	201	12	region	region	NOUN
fis-1573	201	13	of	of	ADP
fis-1573	201	14	the	the	DET
fis-1573	201	15	plastic	plastic	ADJ
fis-1573	201	16	deformation	deformation	NOUN
fis-1573	201	17	around	around	ADP
fis-1573	201	18	the	the	DET
fis-1573	201	19	crack	crack	NOUN
fis-1573	201	20	increases	increase	NOUN
fis-1573	201	21	.	.	PUNCT
fis-1573	202	1	the	the	DET
fis-1573	202	2	mixed	mix	VERB
fis-1573	202	3	-	-	PUNCT
fis-1573	202	4	mode	mode	NOUN
fis-1573	202	5	crack	crack	NOUN
fis-1573	202	6	opening	opening	NOUN
fis-1573	202	7	provides	provide	VERB
fis-1573	202	8	negligible	negligible	ADJ
fis-1573	202	9	values	value	NOUN
fis-1573	202	10	in	in	ADP
fis-1573	202	11	l	l	NOUN
fis-1573	202	12	compared	compare	VERB
fis-1573	202	13	to	to	ADP
fis-1573	202	14	m	m	PRON
fis-1573	202	15	which	which	PRON
fis-1573	202	16	even	even	ADV
fis-1573	202	17	remain	remain	VERB
fis-1573	202	18	zero	zero	NUM
fis-1573	202	19	for	for	ADP
fis-1573	202	20	the	the	DET
fis-1573	202	21	mode	mode	NOUN
fis-1573	202	22	-	-	PUNCT
fis-1573	202	23	i	i	PROPN
fis-1573	202	24	and	and	CCONJ
fis-1573	202	25	mode	mode	NOUN
fis-1573	202	26	-	-	PUNCT
fis-1573	202	27	ii	ii	NOUN
fis-1573	202	28	crack	crack	NOUN
fis-1573	202	29	openings	opening	NOUN
fis-1573	202	30	.	.	PUNCT
fis-1573	203	1	nevertheless	nevertheless	ADV
fis-1573	203	2	,	,	PUNCT
fis-1573	203	3	the	the	DET
fis-1573	203	4	l	l	NOUN
fis-1573	203	5	-	-	ADJ
fis-1573	203	6	integral	integral	ADJ
fis-1573	203	7	may	may	AUX
fis-1573	203	8	serve	serve	VERB
fis-1573	203	9	as	as	ADP
fis-1573	203	10	an	an	DET
fis-1573	203	11	additional	additional	ADJ
fis-1573	203	12	condition	condition	NOUN
fis-1573	203	13	describing	describe	VERB
fis-1573	203	14	the	the	DET
fis-1573	203	15	distribution	distribution	NOUN
fis-1573	203	16	of	of	ADP
fis-1573	203	17	the	the	DET
fis-1573	203	18	material	material	NOUN
fis-1573	203	19	forces	force	NOUN
fis-1573	203	20	in	in	ADP
fis-1573	203	21	the	the	DET
fis-1573	203	22	plastically	plastically	ADV
fis-1573	203	23	deformed	deform	VERB
fis-1573	203	24	region	region	NOUN
fis-1573	203	25	.	.	PUNCT
fis-1573	204	1	these	these	DET
fis-1573	204	2	first	first	ADJ
fis-1573	204	3	results	result	NOUN
fis-1573	204	4	seem	seem	VERB
fis-1573	204	5	promising	promise	VERB
fis-1573	204	6	with	with	ADP
fis-1573	204	7	respect	respect	NOUN
fis-1573	204	8	to	to	ADP
fis-1573	204	9	a	a	DET
fis-1573	204	10	new	new	ADJ
fis-1573	204	11	application	application	NOUN
fis-1573	204	12	of	of	ADP
fis-1573	204	13	the	the	DET
fis-1573	204	14	mand	mand	PROPN
fis-1573	204	15	l	l	NOUN
fis-1573	204	16	-	-	NOUN
fis-1573	204	17	integrals	integral	NOUN
fis-1573	204	18	,	,	PUNCT
fis-1573	204	19	separating	separate	VERB
fis-1573	204	20	the	the	DET
fis-1573	204	21	crack	crack	NOUN
fis-1573	204	22	driving	driving	NOUN
fis-1573	204	23	force	force	NOUN
fis-1573	204	24	and	and	CCONJ
fis-1573	204	25	the	the	DET
fis-1573	204	26	plastic	plastic	ADJ
fis-1573	204	27	deformation	deformation	NOUN
fis-1573	204	28	driving	drive	VERB
fis-1573	204	29	forces	force	NOUN
fis-1573	204	30	in	in	ADP
fis-1573	204	31	a	a	DET
fis-1573	204	32	similar	similar	ADJ
fis-1573	204	33	manner	manner	NOUN
fis-1573	204	34	as	as	ADP
fis-1573	204	35	the	the	DET
fis-1573	204	36	separation	separation	NOUN
fis-1573	204	37	of	of	ADP
fis-1573	204	38	the	the	DET
fis-1573	204	39	jk	jk	PROPN
fis-1573	204	40	-	-	PUNCT
fis-1573	204	41	integrals	integral	NOUN
fis-1573	204	42	of	of	ADP
fis-1573	204	43	two	two	NUM
fis-1573	204	44	interacting	interact	VERB
fis-1573	204	45	cracks	crack	NOUN
fis-1573	204	46	[	[	X
fis-1573	204	47	14	14	NUM
fis-1573	204	48	]	]	PUNCT
fis-1573	204	49	.	.	PUNCT
fis-1573	205	1	(	(	PUNCT
fis-1573	205	2	a	a	X
fis-1573	205	3	)	)	PUNCT
fis-1573	205	4	(	(	PUNCT
fis-1573	205	5	b	b	X
fis-1573	205	6	)	)	PUNCT
fis-1573	205	7	figure	figure	NOUN
fis-1573	205	8	4	4	NUM
fis-1573	205	9	:	:	PUNCT
fis-1573	205	10	(	(	PUNCT
fis-1573	205	11	a	a	X
fis-1573	205	12	)	)	PUNCT
fis-1573	205	13	dcb	dcb	NOUN
fis-1573	205	14	specimen	speciman	NOUN
fis-1573	205	15	with	with	ADP
fis-1573	205	16	applied	apply	VERB
fis-1573	205	17	loads	load	NOUN
fis-1573	205	18	f1	f1	NOUN
fis-1573	205	19	and	and	CCONJ
fis-1573	205	20	f2	f2	PROPN
fis-1573	205	21	and	and	CCONJ
fis-1573	205	22	crack	crack	VERB
fis-1573	205	23	length	length	NOUN
fis-1573	205	24	a	a	DET
fis-1573	205	25	=	=	NUM
fis-1573	205	26	40	40	NUM
fis-1573	205	27	mm	mm	NOUN
fis-1573	205	28	,	,	PUNCT
fis-1573	205	29	(	(	PUNCT
fis-1573	205	30	b	b	NOUN
fis-1573	205	31	)	)	PUNCT
fis-1573	205	32	normalized	normalize	VERB
fis-1573	205	33	global	global	ADJ
fis-1573	205	34	mand	mand	PROPN
fis-1573	205	35	l	l	NOUN
fis-1573	205	36	-	-	PUNCT
fis-1573	205	37	integrals	integral	NOUN
fis-1573	205	38	with	with	ADP
fis-1573	205	39	a	a	DET
fis-1573	205	40	linear	linear	ADJ
fis-1573	205	41	elastic	elastic	ADJ
fis-1573	205	42	-	-	PUNCT
fis-1573	205	43	perfectly	perfectly	ADV
fis-1573	205	44	plastic	plastic	ADJ
fis-1573	205	45	material	material	NOUN
fis-1573	205	46	model	model	NOUN
fis-1573	205	47	vs.	vs.	ADP
fis-1573	205	48	the	the	DET
fis-1573	205	49	normalized	normalize	VERB
fis-1573	205	50	plastic	plastic	NOUN
fis-1573	205	51	zone	zone	NOUN
fis-1573	205	52	size	size	NOUN
fis-1573	205	53	max	max	PROPN
fis-1573	205	54	p	p	PROPN
fis-1573	205	55	p	p	PROPN
fis-1573	205	56	/	/	SYM
fis-1573	205	57	r	r	NOUN
fis-1573	205	58	r	r	NOUN
fis-1573	205	59	from	from	ADP
fis-1573	205	60	eq	eq	ADP
fis-1573	205	61	.	.	PUNCT
fis-1573	206	1	(	(	PUNCT
fis-1573	206	2	12	12	NUM
fis-1573	206	3	)	)	PUNCT
fis-1573	206	4	.	.	PUNCT
fis-1573	207	1	closure	closure	NOUN
fis-1573	207	2	ath	ath	NOUN
fis-1573	207	3	-	-	PUNCT
fis-1573	207	4	independent	independent	ADJ
fis-1573	207	5	integrals	integral	NOUN
fis-1573	207	6	are	be	AUX
fis-1573	207	7	introduced	introduce	VERB
fis-1573	207	8	applying	apply	VERB
fis-1573	207	9	remote	remote	ADJ
fis-1573	207	10	integration	integration	NOUN
fis-1573	207	11	contours	contours	NOUN
fis-1573	207	12	along	along	ADP
fis-1573	207	13	the	the	DET
fis-1573	207	14	external	external	ADJ
fis-1573	207	15	boundaries	boundary	NOUN
fis-1573	207	16	of	of	ADP
fis-1573	207	17	the	the	DET
fis-1573	207	18	model	model	NOUN
fis-1573	207	19	.	.	PUNCT
fis-1573	208	1	this	this	DET
fis-1573	208	2	global	global	ADJ
fis-1573	208	3	approach	approach	NOUN
fis-1573	208	4	is	be	AUX
fis-1573	208	5	beneficial	beneficial	ADJ
fis-1573	208	6	compared	compare	VERB
fis-1573	208	7	to	to	ADP
fis-1573	208	8	a	a	DET
fis-1573	208	9	local	local	ADJ
fis-1573	208	10	approach	approach	NOUN
fis-1573	208	11	,	,	PUNCT
fis-1573	208	12	where	where	SCONJ
fis-1573	208	13	small	small	ADJ
fis-1573	208	14	integration	integration	NOUN
fis-1573	208	15	contours	contour	VERB
fis-1573	208	16	around	around	ADP
fis-1573	208	17	the	the	DET
fis-1573	208	18	crack	crack	NOUN
fis-1573	208	19	tip	tip	NOUN
fis-1573	208	20	are	be	AUX
fis-1573	208	21	applied	apply	VERB
fis-1573	208	22	,	,	PUNCT
fis-1573	208	23	as	as	SCONJ
fis-1573	208	24	no	no	DET
fis-1573	208	25	special	special	ADJ
fis-1573	208	26	requirements	requirement	NOUN
fis-1573	208	27	regarding	regard	VERB
fis-1573	208	28	the	the	DET
fis-1573	208	29	crack	crack	NOUN
fis-1573	208	30	tip	tip	NOUN
fis-1573	208	31	meshing	meshing	NOUN
fis-1573	208	32	have	have	VERB
fis-1573	208	33	to	to	PART
fis-1573	208	34	be	be	AUX
fis-1573	208	35	considered	consider	VERB
fis-1573	208	36	and	and	CCONJ
fis-1573	208	37	crack	crack	VERB
fis-1573	208	38	tips	tip	NOUN
fis-1573	208	39	approaching	approach	VERB
fis-1573	208	40	interfaces	interface	NOUN
fis-1573	208	41	can	can	AUX
fis-1573	208	42	be	be	AUX
fis-1573	208	43	appropriately	appropriately	ADV
fis-1573	208	44	handled	handle	VERB
fis-1573	208	45	.	.	PUNCT
fis-1573	209	1	additional	additional	ADJ
fis-1573	209	2	integrals	integral	NOUN
fis-1573	209	3	along	along	ADP
fis-1573	209	4	crack	crack	NOUN
fis-1573	209	5	faces	face	NOUN
fis-1573	209	6	,	,	PUNCT
fis-1573	209	7	material	material	NOUN
fis-1573	209	8	interfaces	interface	NOUN
fis-1573	209	9	and	and	CCONJ
fis-1573	209	10	internal	internal	ADJ
fis-1573	209	11	boundaries	boundary	NOUN
fis-1573	209	12	are	be	AUX
fis-1573	209	13	calculated	calculate	VERB
fis-1573	209	14	providing	provide	VERB
fis-1573	209	15	path	path	NOUN
fis-1573	209	16	-	-	PUNCT
fis-1573	209	17	independence	independence	NOUN
fis-1573	209	18	.	.	PUNCT
fis-1573	210	1	it	it	PRON
fis-1573	210	2	is	be	AUX
fis-1573	210	3	emphasized	emphasize	VERB
fis-1573	210	4	,	,	PUNCT
fis-1573	210	5	that	that	SCONJ
fis-1573	210	6	the	the	DET
fis-1573	210	7	integration	integration	NOUN
fis-1573	210	8	along	along	ADP
fis-1573	210	9	material	material	NOUN
fis-1573	210	10	interfaces	interface	NOUN
fis-1573	210	11	is	be	AUX
fis-1573	210	12	important	important	ADJ
fis-1573	210	13	for	for	ADP
fis-1573	210	14	both	both	PRON
fis-1573	210	15	,	,	PUNCT
fis-1573	210	16	the	the	DET
fis-1573	210	17	jkand	jkand	NOUN
fis-1573	210	18	ik	ik	ADJ
fis-1573	210	19	-	-	ADJ
fis-1573	210	20	integral	integral	ADJ
fis-1573	210	21	for	for	ADP
fis-1573	210	22	the	the	DET
fis-1573	210	23	accurate	accurate	ADJ
fis-1573	210	24	calculation	calculation	NOUN
fis-1573	210	25	of	of	ADP
fis-1573	210	26	the	the	DET
fis-1573	210	27	crack	crack	NOUN
fis-1573	210	28	tip	tip	NOUN
fis-1573	210	29	loading	loading	NOUN
fis-1573	210	30	.	.	PUNCT
fis-1573	211	1	crack	crack	VERB
fis-1573	211	2	paths	path	NOUN
fis-1573	211	3	at	at	ADP
fis-1573	211	4	material	material	NOUN
fis-1573	211	5	interfaces	interface	NOUN
fis-1573	211	6	are	be	AUX
fis-1573	211	7	predicted	predict	VERB
fis-1573	211	8	accurately	accurately	ADV
fis-1573	211	9	and	and	CCONJ
fis-1573	211	10	compared	compare	VERB
fis-1573	211	11	to	to	ADP
fis-1573	211	12	experimental	experimental	ADJ
fis-1573	211	13	findings	finding	NOUN
fis-1573	211	14	.	.	PUNCT
fis-1573	212	1	next	next	ADJ
fis-1573	212	2	to	to	ADP
fis-1573	212	3	the	the	DET
fis-1573	212	4	fracture	fracture	NOUN
fis-1573	212	5	toughness	toughness	NOUN
fis-1573	212	6	anisotropy	anisotropy	NOUN
fis-1573	212	7	,	,	PUNCT
fis-1573	212	8	the	the	DET
fis-1573	212	9	boundary	boundary	ADJ
fis-1573	212	10	conditions	condition	NOUN
fis-1573	212	11	at	at	ADP
fis-1573	212	12	a	a	DET
fis-1573	212	13	material	material	NOUN
fis-1573	212	14	interface	interface	NOUN
fis-1573	212	15	have	have	VERB
fis-1573	212	16	a	a	DET
fis-1573	212	17	strong	strong	ADJ
fis-1573	212	18	impact	impact	NOUN
fis-1573	212	19	on	on	ADP
fis-1573	212	20	crack	crack	NOUN
fis-1573	212	21	paths	path	NOUN
fis-1573	212	22	.	.	PUNCT
fis-1573	213	1	based	base	VERB
fis-1573	213	2	on	on	ADP
fis-1573	213	3	global	global	ADJ
fis-1573	213	4	mand	mand	PROPN
fis-1573	213	5	l	l	NOUN
fis-1573	213	6	-	-	NOUN
fis-1573	213	7	integrals	integral	NOUN
fis-1573	213	8	,	,	PUNCT
fis-1573	213	9	a	a	DET
fis-1573	213	10	new	new	ADJ
fis-1573	213	11	approach	approach	NOUN
fis-1573	213	12	for	for	ADP
fis-1573	213	13	the	the	DET
fis-1573	213	14	separation	separation	NOUN
fis-1573	213	15	of	of	ADP
fis-1573	213	16	the	the	DET
fis-1573	213	17	crack	crack	NOUN
fis-1573	213	18	driving	driving	NOUN
fis-1573	213	19	force	force	NOUN
fis-1573	213	20	and	and	CCONJ
fis-1573	213	21	forces	force	NOUN
fis-1573	213	22	inducing	induce	VERB
fis-1573	213	23	plastic	plastic	ADJ
fis-1573	213	24	deformation	deformation	NOUN
fis-1573	213	25	at	at	ADP
fis-1573	213	26	the	the	DET
fis-1573	213	27	crack	crack	NOUN
fis-1573	213	28	tip	tip	NOUN
fis-1573	213	29	is	be	AUX
fis-1573	213	30	motivated	motivate	VERB
fis-1573	213	31	.	.	PUNCT
fis-1573	214	1	acknowledgement	acknowledgement	NOUN
fis-1573	214	2	he	he	PRON
fis-1573	214	3	authors	author	NOUN
fis-1573	214	4	would	would	AUX
fis-1573	214	5	like	like	VERB
fis-1573	214	6	to	to	PART
fis-1573	214	7	acknowledge	acknowledge	VERB
fis-1573	214	8	the	the	DET
fis-1573	214	9	financial	financial	ADJ
fis-1573	214	10	support	support	NOUN
fis-1573	214	11	of	of	ADP
fis-1573	214	12	the	the	DET
fis-1573	214	13	“	"	PUNCT
fis-1573	214	14	landes	landes	PROPN
fis-1573	214	15	-	-	PUNCT
fis-1573	214	16	offensive	offensive	ADJ
fis-1573	214	17	zur	zur	NOUN
fis-1573	214	18	entwicklung	entwicklung	PROPN
fis-1573	214	19	wissenschaftlich	wissenschaftlich	ADJ
fis-1573	214	20	-	-	PUNCT
fis-1573	214	21	ökonomischer	ökonomischer	PROPN
fis-1573	214	22	exzellenz	exzellenz	PROPN
fis-1573	214	23	(	(	PUNCT
fis-1573	214	24	loewe	loewe	NOUN
fis-1573	214	25	)	)	PUNCT
fis-1573	214	26	”	"	PUNCT
fis-1573	214	27	research	research	NOUN
fis-1573	214	28	funding	funding	NOUN
fis-1573	214	29	program	program	NOUN
fis-1573	214	30	“	"	PUNCT
fis-1573	214	31	safer	safe	ADJ
fis-1573	214	32	materials	material	NOUN
fis-1573	214	33	”	"	PUNCT
fis-1573	214	34	.	.	PUNCT
fis-1573	215	1	references	reference	NOUN
fis-1573	215	2	[	[	X
fis-1573	215	3	1	1	NUM
fis-1573	215	4	]	]	X
fis-1573	215	5	eshelby	eshelby	PROPN
fis-1573	215	6	,	,	PUNCT
fis-1573	215	7	j.d	j.d	PROPN
fis-1573	215	8	.	.	PROPN
fis-1573	215	9	,	,	PUNCT
fis-1573	215	10	the	the	DET
fis-1573	215	11	force	force	NOUN
fis-1573	215	12	on	on	ADP
fis-1573	215	13	an	an	DET
fis-1573	215	14	elastic	elastic	ADJ
fis-1573	215	15	singularity	singularity	NOUN
fis-1573	215	16	.	.	PUNCT
fis-1573	216	1	phil	phil	PROPN
fis-1573	216	2	.	.	PUNCT
fis-1573	217	1	trans	trans	PROPN
fis-1573	217	2	.	.	PUNCT
fis-1573	218	1	a	a	PRON
fis-1573	218	2	,	,	PUNCT
fis-1573	218	3	244	244	NUM
fis-1573	218	4	(	(	PUNCT
fis-1573	218	5	1951	1951	NUM
fis-1573	218	6	)	)	PUNCT
fis-1573	218	7	87	87	NUM
fis-1573	218	8	-	-	SYM
fis-1573	218	9	112	112	NUM
fis-1573	218	10	.	.	PUNCT
fis-1573	219	1	p	p	PROPN
fis-1573	219	2	t	t	PROPN
fis-1573	219	3	p.o	p.o	PROPN
fis-1573	219	4	.	.	PROPN
fis-1573	219	5	judt	judt	PROPN
fis-1573	219	6	et	et	PROPN
fis-1573	219	7	alii	alii	PROPN
fis-1573	219	8	,	,	PUNCT
fis-1573	219	9	frattura	frattura	PROPN
fis-1573	219	10	ed	ed	PROPN
fis-1573	219	11	integrità	integrità	PROPN
fis-1573	219	12	strutturale	strutturale	PROPN
fis-1573	219	13	,	,	PUNCT
fis-1573	219	14	34	34	NUM
fis-1573	219	15	(	(	PUNCT
fis-1573	219	16	2015	2015	NUM
fis-1573	219	17	)	)	PUNCT
fis-1573	219	18	208	208	NUM
fis-1573	219	19	-	-	SYM
fis-1573	219	20	215	215	NUM
fis-1573	219	21	;	;	PUNCT
fis-1573	219	22	doi	doi	NOUN
fis-1573	219	23	:	:	PUNCT
fis-1573	219	24	10.3221	10.3221	NUM
fis-1573	219	25	/	/	SYM
fis-1573	219	26	igf	igf	PROPN
fis-1573	219	27	-	-	ADJ
fis-1573	219	28	esis.34.22	esis.34.22	NOUN
fis-1573	219	29	215	215	NUM
fis-1573	220	1	[	[	X
fis-1573	220	2	2	2	NUM
fis-1573	220	3	]	]	X
fis-1573	220	4	cherepanov	cherepanov	PROPN
fis-1573	220	5	,	,	PUNCT
fis-1573	220	6	g.p	g.p	PROPN
fis-1573	220	7	.	.	PROPN
fis-1573	220	8	,	,	PUNCT
fis-1573	220	9	crack	crack	VERB
fis-1573	220	10	propagation	propagation	NOUN
fis-1573	220	11	in	in	ADP
fis-1573	220	12	continuous	continuous	ADJ
fis-1573	220	13	media	medium	NOUN
fis-1573	220	14	(	(	PUNCT
fis-1573	220	15	translation	translation	NOUN
fis-1573	220	16	from	from	ADP
fis-1573	220	17	russian	russian	PROPN
fis-1573	220	18	)	)	PUNCT
fis-1573	220	19	.	.	PUNCT
fis-1573	221	1	j.	j.	PROPN
fis-1573	221	2	appl	appl	PROPN
fis-1573	221	3	.	.	PROPN
fis-1573	221	4	math	math	PROPN
fis-1573	221	5	.	.	PUNCT
fis-1573	222	1	mech	mech	PROPN
fis-1573	222	2	.	.	PROPN
fis-1573	222	3	,	,	PUNCT
fis-1573	222	4	31	31	NUM
fis-1573	222	5	(	(	PUNCT
fis-1573	222	6	1967	1967	NUM
fis-1573	222	7	)	)	PUNCT
fis-1573	222	8	503	503	NUM
fis-1573	222	9	-	-	SYM
fis-1573	222	10	512	512	NUM
fis-1573	222	11	.	.	PUNCT
fis-1573	223	1	[	[	X
fis-1573	223	2	3	3	NUM
fis-1573	223	3	]	]	X
fis-1573	223	4	rice	rice	NOUN
fis-1573	223	5	,	,	PUNCT
fis-1573	223	6	j.r	j.r	PROPN
fis-1573	223	7	.	.	PROPN
fis-1573	223	8	,	,	PUNCT
fis-1573	223	9	a	a	DET
fis-1573	223	10	path	path	NOUN
fis-1573	223	11	independent	independent	ADJ
fis-1573	223	12	integral	integral	ADJ
fis-1573	223	13	and	and	CCONJ
fis-1573	223	14	the	the	DET
fis-1573	223	15	approximate	approximate	ADJ
fis-1573	223	16	analysis	analysis	NOUN
fis-1573	223	17	of	of	ADP
fis-1573	223	18	strain	strain	ADJ
fis-1573	223	19	concentration	concentration	NOUN
fis-1573	223	20	by	by	ADP
fis-1573	223	21	notches	notch	NOUN
fis-1573	223	22	and	and	CCONJ
fis-1573	223	23	cracks	crack	NOUN
fis-1573	223	24	.	.	PUNCT
fis-1573	224	1	j.	j.	PROPN
fis-1573	224	2	appl	appl	PROPN
fis-1573	224	3	.	.	PROPN
fis-1573	224	4	mech	mech	PROPN
fis-1573	224	5	.	.	PROPN
fis-1573	224	6	,	,	PUNCT
fis-1573	224	7	35	35	NUM
fis-1573	224	8	(	(	PUNCT
fis-1573	224	9	1968	1968	NUM
fis-1573	224	10	)	)	PUNCT
fis-1573	224	11	379	379	NUM
fis-1573	224	12	-	-	SYM
fis-1573	224	13	386	386	NUM
fis-1573	224	14	.	.	PUNCT
fis-1573	225	1	[	[	X
fis-1573	225	2	4	4	NUM
fis-1573	225	3	]	]	X
fis-1573	225	4	günther	günther	NOUN
fis-1573	225	5	,	,	PUNCT
fis-1573	225	6	w.	w.	PROPN
fis-1573	225	7	,	,	PUNCT
fis-1573	225	8	über	über	PROPN
fis-1573	225	9	einige	einige	PROPN
fis-1573	225	10	randintegrale	randintegrale	PROPN
fis-1573	225	11	der	der	NOUN
fis-1573	225	12	elastomechanik	elastomechanik	X
fis-1573	225	13	.	.	PUNCT
fis-1573	226	1	abh	abh	PROPN
fis-1573	226	2	.	.	PUNCT
fis-1573	227	1	braunschweigischen	braunschweigischen	PROPN
fis-1573	227	2	wissen	wissen	PROPN
fis-1573	227	3	.	.	PROPN
fis-1573	227	4	gesell	gesell	PROPN
fis-1573	227	5	.	.	PUNCT
fis-1573	228	1	,	,	PUNCT
fis-1573	228	2	14	14	NUM
fis-1573	228	3	(	(	PUNCT
fis-1573	228	4	1962	1962	NUM
fis-1573	228	5	)	)	PUNCT
fis-1573	228	6	5372	5372	NUM
fis-1573	228	7	.	.	PUNCT
fis-1573	229	1	[	[	X
fis-1573	229	2	5	5	NUM
fis-1573	229	3	]	]	X
fis-1573	229	4	knowles	knowles	PROPN
fis-1573	229	5	,	,	PUNCT
fis-1573	229	6	j.k	j.k	PROPN
fis-1573	229	7	.	.	PROPN
fis-1573	229	8	,	,	PUNCT
fis-1573	229	9	sternberg	sternberg	PROPN
fis-1573	229	10	,	,	PUNCT
fis-1573	229	11	e.	e.	PROPN
fis-1573	229	12	,	,	PUNCT
fis-1573	229	13	on	on	ADP
fis-1573	229	14	a	a	DET
fis-1573	229	15	class	class	NOUN
fis-1573	229	16	of	of	ADP
fis-1573	229	17	conservation	conservation	NOUN
fis-1573	229	18	laws	law	NOUN
fis-1573	229	19	in	in	ADP
fis-1573	229	20	linearized	linearize	VERB
fis-1573	229	21	and	and	CCONJ
fis-1573	229	22	finite	finite	ADJ
fis-1573	229	23	elastostatics	elastostatic	NOUN
fis-1573	229	24	.	.	PUNCT
fis-1573	230	1	arch	arch	ADJ
fis-1573	230	2	.	.	PUNCT
fis-1573	231	1	rational	rational	ADJ
fis-1573	231	2	mech	mech	NOUN
fis-1573	231	3	.	.	PUNCT
fis-1573	232	1	ana	ana	PROPN
fis-1573	232	2	.	.	PROPN
fis-1573	232	3	,	,	PUNCT
fis-1573	232	4	44	44	NUM
fis-1573	232	5	(	(	PUNCT
fis-1573	232	6	1972	1972	NUM
fis-1573	232	7	)	)	PUNCT
fis-1573	232	8	187	187	NUM
fis-1573	232	9	-	-	SYM
fis-1573	232	10	211	211	NUM
fis-1573	232	11	.	.	PUNCT
fis-1573	233	1	[	[	X
fis-1573	233	2	6	6	NUM
fis-1573	233	3	]	]	SYM
fis-1573	233	4	budiansky	budiansky	NOUN
fis-1573	233	5	,	,	PUNCT
fis-1573	233	6	b.	b.	PROPN
fis-1573	233	7	,	,	PUNCT
fis-1573	233	8	rice	rice	PROPN
fis-1573	233	9	,	,	PUNCT
fis-1573	233	10	j.r	j.r	PROPN
fis-1573	233	11	.	.	PROPN
fis-1573	233	12	,	,	PUNCT
fis-1573	233	13	conservation	conservation	NOUN
fis-1573	233	14	laws	law	NOUN
fis-1573	233	15	and	and	CCONJ
fis-1573	233	16	energy	energy	NOUN
fis-1573	233	17	-	-	PUNCT
fis-1573	233	18	release	release	NOUN
fis-1573	233	19	rates	rate	NOUN
fis-1573	233	20	.	.	PUNCT
fis-1573	234	1	j.	j.	PROPN
fis-1573	234	2	appl	appl	PROPN
fis-1573	234	3	.	.	PROPN
fis-1573	234	4	mech	mech	PROPN
fis-1573	234	5	.	.	PROPN
fis-1573	234	6	,	,	PUNCT
fis-1573	234	7	40	40	NUM
fis-1573	234	8	(	(	PUNCT
fis-1573	234	9	1973	1973	NUM
fis-1573	234	10	)	)	PUNCT
fis-1573	234	11	201	201	NUM
fis-1573	234	12	-	-	SYM
fis-1573	234	13	203	203	NUM
fis-1573	234	14	.	.	PUNCT
fis-1573	235	1	[	[	X
fis-1573	235	2	7	7	NUM
fis-1573	235	3	]	]	X
fis-1573	235	4	kienzler	kienzler	NOUN
fis-1573	235	5	,	,	PUNCT
fis-1573	235	6	r.	r.	PROPN
fis-1573	235	7	,	,	PUNCT
fis-1573	235	8	herrmann	herrmann	PROPN
fis-1573	235	9	,	,	PUNCT
fis-1573	235	10	g.	g.	PROPN
fis-1573	235	11	,	,	PUNCT
fis-1573	235	12	mechanics	mechanic	NOUN
fis-1573	235	13	in	in	ADP
fis-1573	235	14	material	material	NOUN
fis-1573	235	15	space	space	NOUN
fis-1573	235	16	with	with	ADP
fis-1573	235	17	applications	application	NOUN
fis-1573	235	18	to	to	PART
fis-1573	235	19	defect	defect	VERB
fis-1573	235	20	and	and	CCONJ
fis-1573	235	21	fracture	fracture	NOUN
fis-1573	235	22	mechanics	mechanic	NOUN
fis-1573	235	23	.	.	PUNCT
fis-1573	235	24	springer	springer	PROPN
fis-1573	235	25	,	,	PUNCT
fis-1573	235	26	berlin	berlin	PROPN
fis-1573	235	27	,	,	PUNCT
fis-1573	235	28	2000	2000	NUM
fis-1573	235	29	.	.	PUNCT
fis-1573	236	1	[	[	X
fis-1573	236	2	8	8	NUM
fis-1573	236	3	]	]	X
fis-1573	236	4	bergez	bergez	NOUN
fis-1573	236	5	,	,	PUNCT
fis-1573	236	6	d.	d.	PROPN
fis-1573	236	7	,	,	PUNCT
fis-1573	236	8	determination	determination	NOUN
fis-1573	236	9	of	of	ADP
fis-1573	236	10	stress	stress	NOUN
fis-1573	236	11	intensity	intensity	NOUN
fis-1573	236	12	factors	factor	NOUN
fis-1573	236	13	by	by	ADP
fis-1573	236	14	use	use	NOUN
fis-1573	236	15	of	of	ADP
fis-1573	236	16	path	path	NOUN
fis-1573	236	17	-	-	PUNCT
fis-1573	236	18	independent	independent	ADJ
fis-1573	236	19	integrals	integral	NOUN
fis-1573	236	20	.	.	PUNCT
fis-1573	237	1	mech	mech	PROPN
fis-1573	237	2	.	.	PUNCT
fis-1573	238	1	res	re	NOUN
fis-1573	238	2	.	.	PUNCT
fis-1573	239	1	commun	commun	PROPN
fis-1573	239	2	.	.	PROPN
fis-1573	239	3	,	,	PUNCT
fis-1573	239	4	1	1	NUM
fis-1573	239	5	(	(	PUNCT
fis-1573	239	6	1974	1974	NUM
fis-1573	239	7	)	)	PUNCT
fis-1573	239	8	179	179	NUM
fis-1573	239	9	-	-	SYM
fis-1573	239	10	180	180	NUM
fis-1573	239	11	.	.	PUNCT
fis-1573	240	1	[	[	X
fis-1573	240	2	9	9	NUM
fis-1573	240	3	]	]	SYM
fis-1573	240	4	eischen	eischen	NOUN
fis-1573	240	5	,	,	PUNCT
fis-1573	240	6	j.w	j.w	PROPN
fis-1573	240	7	.	.	PROPN
fis-1573	240	8	,	,	PUNCT
fis-1573	240	9	an	an	DET
fis-1573	240	10	improved	improved	ADJ
fis-1573	240	11	method	method	NOUN
fis-1573	240	12	for	for	ADP
fis-1573	240	13	computing	compute	VERB
fis-1573	240	14	the	the	DET
fis-1573	240	15	j2	j2	PROPN
fis-1573	240	16	integral	integral	PROPN
fis-1573	240	17	.	.	PUNCT
fis-1573	241	1	eng	eng	PROPN
fis-1573	241	2	.	.	PROPN
fis-1573	241	3	fract	fract	PROPN
fis-1573	241	4	.	.	PUNCT
fis-1573	242	1	mech	mech	PROPN
fis-1573	242	2	.	.	PROPN
fis-1573	242	3	,	,	PUNCT
fis-1573	242	4	26	26	NUM
fis-1573	242	5	(	(	PUNCT
fis-1573	242	6	1987	1987	NUM
fis-1573	242	7	)	)	PUNCT
fis-1573	242	8	691	691	NUM
fis-1573	242	9	-	-	SYM
fis-1573	242	10	700	700	NUM
fis-1573	242	11	.	.	PUNCT
fis-1573	243	1	[	[	X
fis-1573	243	2	10	10	NUM
fis-1573	243	3	]	]	X
fis-1573	243	4	judt	judt	PROPN
fis-1573	243	5	,	,	PUNCT
fis-1573	243	6	p.o	p.o	PROPN
fis-1573	243	7	.	.	PROPN
fis-1573	243	8	,	,	PUNCT
fis-1573	243	9	ricoeur	ricoeur	VERB
fis-1573	243	10	a.	a.	NOUN
fis-1573	243	11	,	,	PUNCT
fis-1573	243	12	accurate	accurate	ADJ
fis-1573	243	13	loading	loading	NOUN
fis-1573	243	14	analyses	analysis	NOUN
fis-1573	243	15	of	of	ADP
fis-1573	243	16	curved	curved	ADJ
fis-1573	243	17	cracks	crack	NOUN
fis-1573	243	18	under	under	ADP
fis-1573	243	19	mixed	mixed	ADJ
fis-1573	243	20	-	-	PUNCT
fis-1573	243	21	mode	mode	NOUN
fis-1573	243	22	conditions	condition	NOUN
fis-1573	243	23	applying	apply	VERB
fis-1573	243	24	the	the	DET
fis-1573	243	25	jintegral	jintegral	ADJ
fis-1573	243	26	.	.	PUNCT
fis-1573	244	1	int	int	NOUN
fis-1573	244	2	.	.	PUNCT
fis-1573	245	1	j.	j.	PROPN
fis-1573	245	2	fract	fract	PROPN
fis-1573	245	3	.	.	PUNCT
fis-1573	246	1	,	,	PUNCT
fis-1573	246	2	182	182	NUM
fis-1573	246	3	(	(	PUNCT
fis-1573	246	4	2013	2013	NUM
fis-1573	246	5	)	)	PUNCT
fis-1573	246	6	53	53	NUM
fis-1573	246	7	-	-	SYM
fis-1573	246	8	66	66	NUM
fis-1573	246	9	.	.	PUNCT
fis-1573	247	1	[	[	X
fis-1573	247	2	11	11	NUM
fis-1573	247	3	]	]	SYM
fis-1573	247	4	stern	stern	ADJ
fis-1573	247	5	,	,	PUNCT
fis-1573	247	6	m.	m.	NOUN
fis-1573	247	7	,	,	PUNCT
fis-1573	247	8	becker	becker	PROPN
fis-1573	247	9	,	,	PUNCT
fis-1573	247	10	e.b	e.b	PROPN
fis-1573	247	11	.	.	PROPN
fis-1573	247	12	,	,	PUNCT
fis-1573	247	13	dunham	dunham	PROPN
fis-1573	247	14	,	,	PUNCT
fis-1573	247	15	r.s	r.s	PROPN
fis-1573	247	16	.	.	PROPN
fis-1573	247	17	,	,	PUNCT
fis-1573	247	18	a	a	DET
fis-1573	247	19	contour	contour	ADJ
fis-1573	247	20	integral	integral	ADJ
fis-1573	247	21	computation	computation	NOUN
fis-1573	247	22	of	of	ADP
fis-1573	247	23	mixed	mixed	ADJ
fis-1573	247	24	-	-	PUNCT
fis-1573	247	25	mode	mode	NOUN
fis-1573	247	26	stress	stress	NOUN
fis-1573	247	27	intensity	intensity	NOUN
fis-1573	247	28	factors	factor	NOUN
fis-1573	247	29	.	.	PUNCT
fis-1573	248	1	int	int	NOUN
fis-1573	248	2	.	.	PUNCT
fis-1573	249	1	j.	j.	PROPN
fis-1573	249	2	fract	fract	PROPN
fis-1573	249	3	.	.	PROPN
fis-1573	250	1	,	,	PUNCT
fis-1573	250	2	12	12	NUM
fis-1573	250	3	(	(	PUNCT
fis-1573	250	4	1976	1976	NUM
fis-1573	250	5	)	)	PUNCT
fis-1573	250	6	359	359	NUM
fis-1573	250	7	-	-	SYM
fis-1573	250	8	368	368	NUM
fis-1573	250	9	.	.	PUNCT
fis-1573	251	1	[	[	X
fis-1573	251	2	12	12	NUM
fis-1573	251	3	]	]	X
fis-1573	251	4	judt	judt	PROPN
fis-1573	251	5	,	,	PUNCT
fis-1573	251	6	p.o	p.o	PROPN
fis-1573	251	7	.	.	PROPN
fis-1573	251	8	,	,	PUNCT
fis-1573	251	9	ricoeur	ricoeur	PROPN
fis-1573	251	10	,	,	PUNCT
fis-1573	251	11	a.	a.	NOUN
fis-1573	251	12	,	,	PUNCT
fis-1573	251	13	consistent	consistent	ADJ
fis-1573	251	14	application	application	NOUN
fis-1573	251	15	of	of	ADP
fis-1573	251	16	path	path	NOUN
fis-1573	251	17	-	-	PUNCT
fis-1573	251	18	independent	independent	ADJ
fis-1573	251	19	interaction	interaction	NOUN
fis-1573	251	20	integrals	integral	NOUN
fis-1573	251	21	to	to	ADP
fis-1573	251	22	arbitrary	arbitrary	ADJ
fis-1573	251	23	curved	curved	ADJ
fis-1573	251	24	crack	crack	NOUN
fis-1573	251	25	faces	face	NOUN
fis-1573	251	26	.	.	PUNCT
fis-1573	252	1	arch	arch	PROPN
fis-1573	252	2	.	.	PUNCT
fis-1573	253	1	appl	appl	PROPN
fis-1573	253	2	.	.	PROPN
fis-1573	253	3	mech	mech	PROPN
fis-1573	253	4	.	.	PROPN
fis-1573	253	5	,	,	PUNCT
fis-1573	253	6	85	85	NUM
fis-1573	253	7	(	(	PUNCT
fis-1573	253	8	2015	2015	NUM
fis-1573	253	9	)	)	PUNCT
fis-1573	253	10	13	13	NUM
fis-1573	253	11	-	-	SYM
fis-1573	253	12	27	27	NUM
fis-1573	253	13	.	.	PUNCT
fis-1573	254	1	[	[	X
fis-1573	254	2	13	13	NUM
fis-1573	254	3	]	]	X
fis-1573	254	4	judt	judt	PROPN
fis-1573	254	5	,	,	PUNCT
fis-1573	254	6	p.o	p.o	PROPN
fis-1573	254	7	.	.	PROPN
fis-1573	254	8	,	,	PUNCT
fis-1573	254	9	ricoeur	ricoeur	PROPN
fis-1573	254	10	,	,	PUNCT
fis-1573	254	11	a.	a.	NOUN
fis-1573	254	12	,	,	PUNCT
fis-1573	254	13	crack	crack	VERB
fis-1573	254	14	growth	growth	NOUN
fis-1573	254	15	simulation	simulation	NOUN
fis-1573	254	16	of	of	ADP
fis-1573	254	17	multiple	multiple	ADJ
fis-1573	254	18	cracks	crack	NOUN
fis-1573	254	19	systems	system	NOUN
fis-1573	254	20	applying	apply	VERB
fis-1573	254	21	remote	remote	ADJ
fis-1573	254	22	contour	contour	NOUN
fis-1573	254	23	interaction	interaction	NOUN
fis-1573	254	24	integrals	integral	NOUN
fis-1573	254	25	.	.	PUNCT
fis-1573	255	1	theo	theo	PROPN
fis-1573	255	2	.	.	PUNCT
fis-1573	256	1	app	app	PROPN
fis-1573	256	2	.	.	PROPN
fis-1573	256	3	fract	fract	PROPN
fis-1573	256	4	.	.	PUNCT
fis-1573	257	1	mech	mech	PROPN
fis-1573	257	2	.	.	PROPN
fis-1573	257	3	,	,	PUNCT
fis-1573	257	4	75	75	NUM
fis-1573	257	5	(	(	PUNCT
fis-1573	257	6	2015	2015	NUM
fis-1573	257	7	)	)	PUNCT
fis-1573	257	8	78	78	NUM
fis-1573	257	9	-	-	SYM
fis-1573	257	10	88	88	NUM
fis-1573	257	11	.	.	PUNCT
fis-1573	258	1	[	[	X
fis-1573	258	2	14	14	NUM
fis-1573	258	3	]	]	X
fis-1573	258	4	judt	judt	PROPN
fis-1573	258	5	,	,	PUNCT
fis-1573	258	6	p.o	p.o	PROPN
fis-1573	258	7	.	.	PROPN
fis-1573	258	8	,	,	PUNCT
fis-1573	258	9	ricoeur	ricoeur	PROPN
fis-1573	258	10	,	,	PUNCT
fis-1573	258	11	a.	a.	NOUN
fis-1573	258	12	,	,	PUNCT
fis-1573	258	13	a	a	DET
fis-1573	258	14	new	new	ADJ
fis-1573	258	15	application	application	NOUN
fis-1573	258	16	of	of	ADP
fis-1573	258	17	mand	mand	PROPN
fis-1573	258	18	l	l	NOUN
fis-1573	258	19	-	-	PUNCT
fis-1573	258	20	integrals	integral	NOUN
fis-1573	258	21	for	for	ADP
fis-1573	258	22	the	the	DET
fis-1573	258	23	numerical	numerical	ADJ
fis-1573	258	24	loading	loading	NOUN
fis-1573	258	25	analysis	analysis	NOUN
fis-1573	258	26	of	of	ADP
fis-1573	258	27	two	two	NUM
fis-1573	258	28	interacting	interact	VERB
fis-1573	258	29	cracks	crack	NOUN
fis-1573	258	30	.	.	PUNCT
fis-1573	259	1	z.	z.	PROPN
fis-1573	259	2	angew	angew	PROPN
fis-1573	259	3	.	.	PUNCT
fis-1573	260	1	math	math	PROPN
fis-1573	260	2	.	.	PUNCT
fis-1573	261	1	mech	mech	PROPN
fis-1573	261	2	.	.	PUNCT
fis-1573	261	3	,	,	PUNCT
fis-1573	261	4	(	(	PUNCT
fis-1573	261	5	2015	2015	NUM
fis-1573	261	6	)	)	PUNCT
fis-1573	261	7	.	.	PUNCT
fis-1573	262	1	doi	doi	NOUN
fis-1573	262	2	:	:	PUNCT
fis-1573	262	3	10.1002	10.1002	NUM
fis-1573	262	4	/	/	SYM
fis-1573	262	5	zamm201500012	zamm201500012	PROPN
fis-1573	262	6	.	.	PUNCT
fis-1573	263	1	[	[	X
fis-1573	263	2	15	15	NUM
fis-1573	263	3	]	]	X
fis-1573	263	4	sih	sih	PROPN
fis-1573	263	5	,	,	PUNCT
fis-1573	263	6	g.c	g.c	PROPN
fis-1573	263	7	.	.	PROPN
fis-1573	263	8	,	,	PUNCT
fis-1573	263	9	paris	paris	PROPN
fis-1573	263	10	,	,	PUNCT
fis-1573	263	11	p.c	p.c	PROPN
fis-1573	263	12	.	.	PROPN
fis-1573	263	13	,	,	PUNCT
fis-1573	263	14	irwin	irwin	PROPN
fis-1573	263	15	,	,	PUNCT
fis-1573	263	16	g.r	g.r	PROPN
fis-1573	263	17	.	.	PROPN
fis-1573	263	18	,	,	PUNCT
fis-1573	263	19	on	on	ADP
fis-1573	263	20	cracks	crack	NOUN
fis-1573	263	21	in	in	ADP
fis-1573	263	22	rectilinearly	rectilinearly	ADJ
fis-1573	263	23	anisotropic	anisotropic	NOUN
fis-1573	263	24	bodies	body	NOUN
fis-1573	263	25	.	.	PUNCT
fis-1573	264	1	int	int	NOUN
fis-1573	264	2	.	.	PUNCT
fis-1573	265	1	j.	j.	PROPN
fis-1573	265	2	fract	fract	PROPN
fis-1573	265	3	.	.	PUNCT
fis-1573	266	1	mech	mech	PROPN
fis-1573	266	2	.	.	PUNCT
fis-1573	266	3	,	,	PUNCT
fis-1573	266	4	1	1	NUM
fis-1573	266	5	(	(	PUNCT
fis-1573	266	6	1965	1965	NUM
fis-1573	266	7	)	)	PUNCT
fis-1573	266	8	189	189	NUM
fis-1573	266	9	-	-	SYM
fis-1573	266	10	203	203	NUM
fis-1573	266	11	.	.	PUNCT
fis-1573	267	1	[	[	X
fis-1573	267	2	16	16	NUM
fis-1573	267	3	]	]	X
fis-1573	267	4	judt	judt	PROPN
fis-1573	267	5	,	,	PUNCT
fis-1573	267	6	p.o	p.o	PROPN
fis-1573	267	7	.	.	PROPN
fis-1573	267	8	,	,	PUNCT
fis-1573	267	9	ricoeur	ricoeur	PROPN
fis-1573	267	10	,	,	PUNCT
fis-1573	267	11	a.	a.	NOUN
fis-1573	267	12	,	,	PUNCT
fis-1573	267	13	linek	linek	ADJ
fis-1573	267	14	,	,	PUNCT
fis-1573	267	15	g.	g.	PROPN
fis-1573	267	16	,	,	PUNCT
fis-1573	267	17	crack	crack	VERB
fis-1573	267	18	path	path	NOUN
fis-1573	267	19	prediction	prediction	NOUN
fis-1573	267	20	in	in	ADP
fis-1573	267	21	rolled	roll	VERB
fis-1573	267	22	aluminum	aluminum	NOUN
fis-1573	267	23	plates	plate	NOUN
fis-1573	267	24	with	with	ADP
fis-1573	267	25	orthotropic	orthotropic	ADJ
fis-1573	267	26	properties	property	NOUN
fis-1573	267	27	and	and	CCONJ
fis-1573	267	28	experimental	experimental	ADJ
fis-1573	267	29	validation	validation	NOUN
fis-1573	267	30	.	.	PUNCT
fis-1573	268	1	engineering	engineering	NOUN
fis-1573	268	2	fracture	fracture	PROPN
fis-1573	268	3	mechanics	mechanic	NOUN
fis-1573	268	4	,	,	PUNCT
fis-1573	268	5	138	138	NUM
fis-1573	268	6	(	(	PUNCT
fis-1573	268	7	2015	2015	NUM
fis-1573	268	8	)	)	PUNCT
fis-1573	268	9	33	33	NUM
fis-1573	268	10	-	-	SYM
fis-1573	268	11	48	48	NUM
fis-1573	268	12	.	.	PUNCT
fis-1573	269	1	[	[	X
fis-1573	269	2	17	17	NUM
fis-1573	269	3	]	]	X
fis-1573	269	4	eischen	eischen	PROPN
fis-1573	269	5	,	,	PUNCT
fis-1573	269	6	j.w	j.w	PROPN
fis-1573	269	7	.	.	PROPN
fis-1573	269	8	,	,	PUNCT
fis-1573	269	9	herrmann	herrmann	PROPN
fis-1573	269	10	g.	g.	PROPN
fis-1573	269	11	,	,	PUNCT
fis-1573	269	12	energy	energy	NOUN
fis-1573	269	13	release	release	NOUN
fis-1573	269	14	rates	rate	NOUN
fis-1573	269	15	and	and	CCONJ
fis-1573	269	16	related	relate	VERB
fis-1573	269	17	balance	balance	NOUN
fis-1573	269	18	laws	law	NOUN
fis-1573	269	19	in	in	ADP
fis-1573	269	20	linear	linear	ADJ
fis-1573	269	21	elastic	elastic	ADJ
fis-1573	269	22	defect	defect	NOUN
fis-1573	269	23	mechanics	mechanic	NOUN
fis-1573	269	24	.	.	PUNCT
fis-1573	270	1	j.	j.	PROPN
fis-1573	270	2	appl	appl	PROPN
fis-1573	270	3	.	.	PROPN
fis-1573	270	4	mech	mech	PROPN
fis-1573	270	5	.	.	PROPN
fis-1573	270	6	,	,	PUNCT
fis-1573	270	7	54	54	NUM
fis-1573	270	8	(	(	PUNCT
fis-1573	270	9	1987	1987	NUM
fis-1573	270	10	)	)	PUNCT
fis-1573	270	11	388	388	NUM
fis-1573	270	12	-	-	SYM
fis-1573	270	13	392	392	NUM
fis-1573	270	14	.	.	PUNCT
fis-1573	271	1	[	[	X
fis-1573	271	2	18	18	NUM
fis-1573	271	3	]	]	SYM
fis-1573	271	4	yu	yu	PROPN
fis-1573	271	5	,	,	PUNCT
fis-1573	271	6	h.	h.	PROPN
fis-1573	271	7	,	,	PUNCT
fis-1573	271	8	wu	wu	PROPN
fis-1573	271	9	,	,	PUNCT
fis-1573	271	10	l.	l.	PROPN
fis-1573	271	11	,	,	PUNCT
fis-1573	271	12	guo	guo	PROPN
fis-1573	271	13	,	,	PUNCT
fis-1573	271	14	l.	l.	PROPN
fis-1573	271	15	,	,	PUNCT
fis-1573	271	16	du	du	PROPN
fis-1573	271	17	,	,	PUNCT
fis-1573	271	18	s.	s.	PROPN
fis-1573	271	19	,	,	PUNCT
fis-1573	271	20	he	he	PRON
fis-1573	271	21	,	,	PUNCT
fis-1573	271	22	q.	q.	PROPN
fis-1573	271	23	,	,	PUNCT
fis-1573	271	24	investigation	investigation	NOUN
fis-1573	271	25	of	of	ADP
fis-1573	271	26	mixed	mixed	ADJ
fis-1573	271	27	-	-	PUNCT
fis-1573	271	28	mode	mode	NOUN
fis-1573	271	29	stress	stress	NOUN
fis-1573	271	30	intensity	intensity	NOUN
fis-1573	271	31	factors	factor	NOUN
fis-1573	271	32	for	for	ADP
fis-1573	271	33	nonhomogeneous	nonhomogeneous	ADJ
fis-1573	271	34	materials	material	NOUN
fis-1573	271	35	using	use	VERB
fis-1573	271	36	an	an	DET
fis-1573	271	37	interaction	interaction	NOUN
fis-1573	271	38	integral	integral	ADJ
fis-1573	271	39	method	method	NOUN
fis-1573	271	40	.	.	PUNCT
fis-1573	272	1	int	int	NOUN
fis-1573	272	2	.	.	PUNCT
fis-1573	273	1	j.	j.	PROPN
fis-1573	273	2	solids	solids	PROPN
fis-1573	273	3	struct	struct	NOUN
fis-1573	273	4	.	.	PUNCT
fis-1573	273	5	,	,	PUNCT
fis-1573	273	6	46	46	NUM
fis-1573	273	7	(	(	PUNCT
fis-1573	273	8	2009	2009	NUM
fis-1573	273	9	)	)	PUNCT
fis-1573	273	10	3710	3710	NUM
fis-1573	273	11	-	-	SYM
fis-1573	273	12	3724	3724	NUM
fis-1573	273	13	.	.	PUNCT
fis-1573	274	1	[	[	X
fis-1573	274	2	19	19	NUM
fis-1573	274	3	]	]	X
fis-1573	274	4	judt	judt	PROPN
fis-1573	274	5	,	,	PUNCT
fis-1573	274	6	p.o	p.o	PROPN
fis-1573	274	7	.	.	PROPN
fis-1573	274	8	,	,	PUNCT
fis-1573	274	9	ricoeur	ricoeur	PROPN
fis-1573	274	10	,	,	PUNCT
fis-1573	274	11	a.	a.	NOUN
fis-1573	274	12	,	,	PUNCT
fis-1573	274	13	crack	crack	VERB
fis-1573	274	14	growth	growth	NOUN
fis-1573	274	15	in	in	ADP
fis-1573	274	16	elastic	elastic	ADJ
fis-1573	274	17	materials	material	NOUN
fis-1573	274	18	with	with	ADP
fis-1573	274	19	internal	internal	ADJ
fis-1573	274	20	boundaries	boundary	NOUN
fis-1573	274	21	and	and	CCONJ
fis-1573	274	22	interfaces	interface	NOUN
fis-1573	274	23	.	.	PUNCT
fis-1573	275	1	in	in	ADP
fis-1573	275	2	proceedings	proceeding	NOUN
fis-1573	275	3	in	in	ADP
fis-1573	275	4	applied	applied	ADJ
fis-1573	275	5	mathematics	mathematic	NOUN
fis-1573	275	6	and	and	CCONJ
fis-1573	275	7	mechanics	mechanic	NOUN
fis-1573	275	8	12	12	NUM
fis-1573	275	9	(	(	PUNCT
fis-1573	275	10	2012	2012	NUM
fis-1573	275	11	)	)	PUNCT
fis-1573	275	12	159	159	NUM
fis-1573	275	13	-	-	SYM
fis-1573	275	14	160	160	NUM
fis-1573	275	15	,	,	PUNCT
fis-1573	275	16	gamm	gamm	PROPN
fis-1573	275	17	tagung	tagung	PROPN
fis-1573	275	18	,	,	PUNCT
fis-1573	275	19	darmstadt	darmstadt	PROPN
fis-1573	275	20	,	,	PUNCT
fis-1573	275	21	germany	germany	PROPN
fis-1573	275	22	.	.	PUNCT
fis-1573	276	1	[	[	X
fis-1573	276	2	20	20	NUM
fis-1573	276	3	]	]	X
fis-1573	276	4	patton	patton	PROPN
fis-1573	276	5	,	,	PUNCT
fis-1573	276	6	e.m	e.m	PROPN
fis-1573	276	7	.	.	PROPN
fis-1573	276	8	,	,	PUNCT
fis-1573	276	9	santare	santare	PROPN
fis-1573	276	10	,	,	PUNCT
fis-1573	276	11	m.h	m.h	PROPN
fis-1573	276	12	.	.	PROPN
fis-1573	276	13	,	,	PUNCT
fis-1573	276	14	crack	crack	VERB
fis-1573	276	15	path	path	NOUN
fis-1573	276	16	prediction	prediction	NOUN
fis-1573	276	17	near	near	ADP
fis-1573	276	18	an	an	DET
fis-1573	276	19	elliptical	elliptical	ADJ
fis-1573	276	20	inclusion	inclusion	NOUN
fis-1573	276	21	.	.	PUNCT
fis-1573	277	1	engineering	engineering	NOUN
fis-1573	277	2	fracture	fracture	PROPN
fis-1573	277	3	mechanics	mechanic	NOUN
fis-1573	277	4	,	,	PUNCT
fis-1573	277	5	44	44	NUM
fis-1573	277	6	(	(	PUNCT
fis-1573	277	7	1993	1993	NUM
fis-1573	277	8	)	)	PUNCT
fis-1573	277	9	195	195	NUM
fis-1573	277	10	-	-	SYM
fis-1573	277	11	205	205	NUM
fis-1573	277	12	.	.	PUNCT
fis-1573	278	1	[	[	X
fis-1573	278	2	21	21	NUM
fis-1573	278	3	]	]	X
fis-1573	278	4	bouchard	bouchard	PROPN
fis-1573	278	5	,	,	PUNCT
fis-1573	278	6	p.o	p.o	PROPN
fis-1573	278	7	.	.	PROPN
fis-1573	278	8	,	,	PUNCT
fis-1573	278	9	bay	bay	PROPN
fis-1573	278	10	,	,	PUNCT
fis-1573	278	11	f.	f.	PROPN
fis-1573	278	12	,	,	PUNCT
fis-1573	278	13	chastel	chastel	NOUN
fis-1573	278	14	,	,	PUNCT
fis-1573	278	15	y.	y.	PROPN
fis-1573	278	16	,	,	PUNCT
fis-1573	278	17	numerical	numerical	ADJ
fis-1573	278	18	modelling	modelling	NOUN
fis-1573	278	19	of	of	ADP
fis-1573	278	20	crack	crack	NOUN
fis-1573	278	21	propagation	propagation	NOUN
fis-1573	278	22	:	:	PUNCT
fis-1573	278	23	automatic	automatic	ADJ
fis-1573	278	24	remeshing	remeshing	NOUN
fis-1573	278	25	and	and	CCONJ
fis-1573	278	26	comparison	comparison	NOUN
fis-1573	278	27	of	of	ADP
fis-1573	278	28	different	different	ADJ
fis-1573	278	29	criteria	criterion	NOUN
fis-1573	278	30	.	.	PUNCT
fis-1573	279	1	comput	comput	NOUN
fis-1573	279	2	.	.	PUNCT
fis-1573	280	1	meth	meth	NOUN
fis-1573	280	2	.	.	PUNCT
fis-1573	281	1	appl	appl	PROPN
fis-1573	281	2	.	.	PROPN
fis-1573	281	3	mech	mech	PROPN
fis-1573	281	4	.	.	PUNCT
fis-1573	282	1	eng	eng	PROPN
fis-1573	282	2	.	.	PROPN
fis-1573	282	3	,	,	PUNCT
fis-1573	282	4	192	192	NUM
fis-1573	282	5	(	(	PUNCT
fis-1573	282	6	2003	2003	NUM
fis-1573	282	7	)	)	PUNCT
fis-1573	282	8	3887	3887	NUM
fis-1573	282	9	-	-	SYM
fis-1573	282	10	3908	3908	NUM
fis-1573	282	11	.	.	PUNCT
fis-1573	283	1	[	[	X
fis-1573	283	2	22	22	NUM
fis-1573	283	3	]	]	X
fis-1573	283	4	nielsen	nielsen	PROPN
fis-1573	283	5	,	,	PUNCT
fis-1573	283	6	c.v	c.v	PROPN
fis-1573	283	7	.	.	PROPN
fis-1573	283	8	,	,	PUNCT
fis-1573	283	9	legarth	legarth	PROPN
fis-1573	283	10	,	,	PUNCT
fis-1573	283	11	b.n	b.n	PROPN
fis-1573	283	12	.	.	PROPN
fis-1573	283	13	,	,	PUNCT
fis-1573	283	14	niordson	niordson	PROPN
fis-1573	283	15	c.f	c.f	PROPN
fis-1573	283	16	.	.	PROPN
fis-1573	283	17	,	,	PUNCT
fis-1573	283	18	extended	extend	VERB
fis-1573	283	19	fem	fem	NOUN
fis-1573	283	20	modeling	modeling	NOUN
fis-1573	283	21	of	of	ADP
fis-1573	283	22	crack	crack	NOUN
fis-1573	283	23	paths	path	NOUN
fis-1573	283	24	near	near	ADP
fis-1573	283	25	inclusions	inclusion	NOUN
fis-1573	283	26	.	.	PUNCT
fis-1573	284	1	int	int	NOUN
fis-1573	284	2	.	.	PUNCT
fis-1573	285	1	j.	j.	PROPN
fis-1573	285	2	numer	numer	PROPN
fis-1573	285	3	.	.	PUNCT
fis-1573	285	4	meth	meth	PROPN
fis-1573	285	5	.	.	PUNCT
fis-1573	286	1	eng	eng	PROPN
fis-1573	286	2	.	.	PROPN
fis-1573	286	3	,	,	PUNCT
fis-1573	286	4	89	89	NUM
fis-1573	286	5	(	(	PUNCT
fis-1573	286	6	2012	2012	NUM
fis-1573	286	7	)	)	PUNCT
fis-1573	286	8	786	786	NUM
fis-1573	286	9	-	-	SYM
fis-1573	286	10	804	804	NUM
fis-1573	286	11	.	.	PUNCT
fis-1573	287	1	[	[	X
fis-1573	287	2	23	23	NUM
fis-1573	287	3	]	]	SYM
fis-1573	287	4	braun	braun	NOUN
fis-1573	287	5	,	,	PUNCT
fis-1573	287	6	m.	m.	NOUN
fis-1573	287	7	,	,	PUNCT
fis-1573	287	8	configurational	configurational	ADJ
fis-1573	287	9	forces	force	NOUN
fis-1573	287	10	induced	induce	VERB
fis-1573	287	11	by	by	ADP
fis-1573	287	12	finite	finite	ADJ
fis-1573	287	13	-	-	ADJ
fis-1573	287	14	element	element	ADJ
fis-1573	287	15	discretization	discretization	NOUN
fis-1573	287	16	.	.	PUNCT
fis-1573	288	1	proc	proc	NOUN
fis-1573	288	2	.	.	PUNCT
fis-1573	289	1	estonian	estonian	ADJ
fis-1573	289	2	acad	acad	PROPN
fis-1573	289	3	.	.	PUNCT
fis-1573	290	1	sci	sci	PROPN
fis-1573	290	2	.	.	PUNCT
fis-1573	290	3	phys	phys	PROPN
fis-1573	290	4	.	.	PUNCT
fis-1573	291	1	math	math	NOUN
fis-1573	291	2	.	.	PUNCT
fis-1573	292	1	,	,	PUNCT
fis-1573	292	2	46	46	NUM
fis-1573	292	3	(	(	PUNCT
fis-1573	292	4	1997	1997	NUM
fis-1573	292	5	)	)	PUNCT
fis-1573	292	6	24	24	NUM
fis-1573	292	7	-	-	SYM
fis-1573	292	8	31	31	NUM
fis-1573	292	9	.	.	PUNCT
fis-1573	293	1	[	[	X
fis-1573	293	2	24	24	NUM
fis-1573	293	3	]	]	X
fis-1573	293	4	gross	gross	PROPN
fis-1573	293	5	,	,	PUNCT
fis-1573	293	6	d.	d.	PROPN
fis-1573	293	7	,	,	PUNCT
fis-1573	293	8	mueller	mueller	PROPN
fis-1573	293	9	,	,	PUNCT
fis-1573	293	10	r.	r.	PROPN
fis-1573	293	11	,	,	PUNCT
fis-1573	293	12	kolling	kolling	PROPN
fis-1573	293	13	,	,	PUNCT
fis-1573	293	14	s.	s.	PROPN
fis-1573	293	15	,	,	PUNCT
fis-1573	293	16	configurational	configurational	ADJ
fis-1573	293	17	forces	force	NOUN
fis-1573	293	18	morphology	morphology	VERB
fis-1573	293	19	evolution	evolution	NOUN
fis-1573	293	20	and	and	CCONJ
fis-1573	293	21	finite	finite	ADJ
fis-1573	293	22	elements	element	NOUN
fis-1573	293	23	.	.	PUNCT
fis-1573	294	1	mech	mech	NOUN
fis-1573	294	2	.	.	PUNCT
fis-1573	295	1	res	re	NOUN
fis-1573	295	2	.	.	PUNCT
fis-1573	296	1	commun	commun	PROPN
fis-1573	296	2	.	.	PROPN
fis-1573	296	3	,	,	PUNCT
fis-1573	296	4	29	29	NUM
fis-1573	296	5	(	(	PUNCT
fis-1573	296	6	2002	2002	NUM
fis-1573	296	7	)	)	PUNCT
fis-1573	296	8	529	529	NUM
fis-1573	296	9	-	-	SYM
fis-1573	296	10	536	536	NUM
fis-1573	296	11	.	.	PUNCT