id	sid	tid	token	lemma	pos
fis-85	1	1	microsoft	microsoft	PROPN
fis-85	1	2	word	word	PROPN
fis-85	1	3	numero	numero	PROPN
fis-85	1	4	12	12	NUM
fis-85	1	5	art	art	NOUN
fis-85	1	6	7	7	NUM
fis-85	1	7	m.	m.	NOUN
fis-85	1	8	angelillo	angelillo	PROPN
fis-85	1	9	et	et	PROPN
fis-85	1	10	alii	alii	PROPN
fis-85	1	11	,	,	PUNCT
fis-85	1	12	frattura	frattura	PROPN
fis-85	1	13	ed	ed	PROPN
fis-85	1	14	integrità	integrità	PROPN
fis-85	1	15	strutturale	strutturale	PROPN
fis-85	1	16	,	,	PUNCT
fis-85	1	17	12	12	NUM
fis-85	1	18	(	(	PUNCT
fis-85	1	19	2010	2010	NUM
fis-85	1	20	)	)	PUNCT
fis-85	1	21	63	63	NUM
fis-85	1	22	-	-	SYM
fis-85	1	23	78	78	NUM
fis-85	1	24	;	;	PUNCT
fis-85	1	25	doi	doi	NOUN
fis-85	1	26	:	:	PUNCT
fis-85	1	27	10.3221	10.3221	NUM
fis-85	1	28	/	/	SYM
fis-85	1	29	igf	igf	PROPN
fis-85	1	30	-	-	ADJ
fis-85	1	31	esis.12.07	esis.12.07	ADJ
fis-85	1	32	63	63	NUM
fis-85	1	33	numerical	numerical	ADJ
fis-85	1	34	experiments	experiment	NOUN
fis-85	1	35	in	in	ADP
fis-85	1	36	2d	2d	NUM
fis-85	1	37	variational	variational	ADJ
fis-85	1	38	fracture	fracture	NOUN
fis-85	1	39	m.	m.	NOUN
fis-85	1	40	angelillo	angelillo	PROPN
fis-85	1	41	,	,	PUNCT
fis-85	1	42	a.	a.	PROPN
fis-85	1	43	fortunato	fortunato	PROPN
fis-85	1	44	università	università	PROPN
fis-85	1	45	di	di	PROPN
fis-85	1	46	salerno	salerno	PROPN
fis-85	1	47	,	,	PUNCT
fis-85	1	48	dipartimento	dipartimento	ADP
fis-85	1	49	di	di	NOUN
fis-85	1	50	ingegneria	ingegneria	PROPN
fis-85	1	51	civile	civile	NOUN
fis-85	1	52	.	.	PUNCT
fis-85	2	1	e.	e.	PROPN
fis-85	2	2	babilio	babilio	PROPN
fis-85	2	3	,	,	PUNCT
fis-85	2	4	m.	m.	PROPN
fis-85	2	5	lippiello	lippiello	PROPN
fis-85	2	6	università	università	PROPN
fis-85	2	7	di	di	PROPN
fis-85	2	8	napoli	napoli	PROPN
fis-85	2	9	,	,	PUNCT
fis-85	2	10	dipartimento	dipartimento	ADP
fis-85	2	11	di	di	NOUN
fis-85	2	12	costruzioni	costruzioni	PROPN
fis-85	2	13	l.	l.	PROPN
fis-85	2	14	cardamone	cardamone	PROPN
fis-85	2	15	sissa	sissa	PROPN
fis-85	2	16	trieste	trieste	PROPN
fis-85	2	17	riassunto	riassunto	PROPN
fis-85	2	18	.	.	PROPN
fis-85	3	1	in	in	ADP
fis-85	3	2	questo	questo	PROPN
fis-85	3	3	lavoro	lavoro	X
fis-85	3	4	si	si	PROPN
fis-85	3	5	presentano	presentano	PROPN
fis-85	3	6	i	i	PRON
fis-85	3	7	risultati	risultati	PROPN
fis-85	3	8	di	di	PROPN
fis-85	3	9	alcuni	alcuni	PROPN
fis-85	3	10	esperimenti	esperimenti	PROPN
fis-85	3	11	numerici	numerici	PROPN
fis-85	3	12	ottenuti	ottenuti	PROPN
fis-85	3	13	utilizzando	utilizzando	PROPN
fis-85	3	14	un	un	PROPN
fis-85	3	15	modello	modello	PROPN
fis-85	3	16	variazionale	variazionale	PROPN
fis-85	3	17	di	di	PROPN
fis-85	3	18	frattura	frattura	ADJ
fis-85	3	19	fragile	fragile	PROPN
fis-85	3	20	alla	alla	PUNCT
fis-85	3	21	griffith	griffith	PROPN
fis-85	3	22	.	.	PUNCT
fis-85	3	23	l'analisi	l'analisi	PROPN
fis-85	4	1	è	è	PROPN
fis-85	4	2	basata	basata	ADJ
fis-85	4	3	essenzialmente	essenzialmente	NOUN
fis-85	4	4	sulla	sulla	NOUN
fis-85	4	5	recente	recente	PROPN
fis-85	4	6	formulazione	formulazione	NOUN
fis-85	4	7	di	di	NOUN
fis-85	4	8	francfort	francfort	PROPN
fis-85	4	9	e	e	PROPN
fis-85	4	10	marigo	marigo	PROPN
fis-85	4	11	;	;	PUNCT
fis-85	4	12	la	la	PROPN
fis-85	4	13	principale	principale	PROPN
fis-85	4	14	differenza	differenza	PROPN
fis-85	4	15	consiste	consiste	PROPN
fis-85	4	16	nel	nel	PROPN
fis-85	4	17	fatto	fatto	PROPN
fis-85	4	18	che	che	X
fis-85	4	19	qui	qui	X
fis-85	4	20	si	si	PROPN
fis-85	4	21	ricercano	ricercano	PROPN
fis-85	4	22	minimi	minimi	PROPN
fis-85	4	23	locali	locali	PROPN
fis-85	4	24	piuttosto	piuttosto	PROPN
fis-85	4	25	che	che	PROPN
fis-85	4	26	minimi	minimi	PROPN
fis-85	4	27	assouluti	assouluti	PROPN
fis-85	4	28	.	.	PUNCT
fis-85	5	1	la	la	PROPN
fis-85	5	2	propagazione	propagazione	PROPN
fis-85	5	3	quasi	quasi	PROPN
fis-85	5	4	-	-	ADJ
fis-85	5	5	statica	statica	ADJ
fis-85	5	6	della	della	PROPN
fis-85	5	7	frattura	frattura	ADJ
fis-85	5	8	viene	viene	PROPN
fis-85	5	9	simulata	simulata	NOUN
fis-85	5	10	minimizzando	minimizzando	NOUN
fis-85	5	11	,	,	PUNCT
fis-85	5	12	in	in	ADP
fis-85	5	13	un	un	PROPN
fis-85	5	14	procedimento	procedimento	PROPN
fis-85	5	15	al	al	PROPN
fis-85	5	16	passo	passo	PROPN
fis-85	5	17	,	,	PUNCT
fis-85	5	18	una	una	PROPN
fis-85	5	19	forma	forma	PROPN
fis-85	5	20	di	di	X
fis-85	5	21	energia	energia	PROPN
fis-85	5	22	che	che	PROPN
fis-85	5	23	è	è	PROPN
fis-85	5	24	la	la	PROPN
fis-85	5	25	somma	somma	PROPN
fis-85	5	26	di	di	PROPN
fis-85	5	27	un	un	PROPN
fis-85	5	28	termine	termine	PROPN
fis-85	5	29	di	di	PROPN
fis-85	5	30	volume	volume	PROPN
fis-85	5	31	e	e	PROPN
fis-85	5	32	di	di	PROPN
fis-85	5	33	un	un	PROPN
fis-85	5	34	termine	termine	PROPN
fis-85	5	35	di	di	PROPN
fis-85	5	36	interfaccia	interfaccia	PROPN
fis-85	5	37	.	.	PUNCT
fis-85	6	1	il	il	PROPN
fis-85	6	2	problema	problema	PROPN
fis-85	6	3	è	è	PROPN
fis-85	6	4	risolto	risolto	X
fis-85	6	5	numericamente	numericamente	PROPN
fis-85	6	6	adottando	adottando	PROPN
fis-85	6	7	una	una	PROPN
fis-85	6	8	discretizzazione	discretizzazione	NOUN
fis-85	6	9	ad	ad	NOUN
fis-85	6	10	elementi	elementi	X
fis-85	6	11	finiti	finiti	PROPN
fis-85	6	12	discontinui	discontinui	PROPN
fis-85	6	13	e	e	PROPN
fis-85	6	14	basati	basati	PROPN
fis-85	6	15	su	su	PROPN
fis-85	6	16	di	di	PROPN
fis-85	6	17	una	una	PROPN
fis-85	6	18	mesh	mesh	PROPN
fis-85	6	19	variabile	variabile	NOUN
fis-85	6	20	,	,	PUNCT
fis-85	6	21	minimizzando	minimizzando	PROPN
fis-85	6	22	l'energia	l'energia	PROPN
fis-85	6	23	,	,	PUNCT
fis-85	6	24	rispetto	rispetto	PROPN
fis-85	6	25	agli	agli	PROPN
fis-85	6	26	spostamenti	spostamenti	PROPN
fis-85	6	27	e	e	PROPN
fis-85	6	28	alla	alla	X
fis-85	6	29	posizione	posizione	PROPN
fis-85	6	30	dei	dei	PROPN
fis-85	6	31	nodi	nodi	PROPN
fis-85	6	32	della	della	PROPN
fis-85	6	33	mesh	mesh	PROPN
fis-85	6	34	nella	nella	PROPN
fis-85	6	35	configurazione	configurazione	PROPN
fis-85	6	36	di	di	PROPN
fis-85	6	37	riferimento	riferimento	PROPN
fis-85	6	38	,	,	PUNCT
fis-85	6	39	con	con	PROPN
fis-85	6	40	un	un	PROPN
fis-85	6	41	metodo	metodo	PROPN
fis-85	6	42	di	di	PROPN
fis-85	6	43	discesa	discesa	PROPN
fis-85	6	44	.	.	PUNCT
fis-85	7	1	per	per	ADP
fis-85	7	2	uscire	uscire	PROPN
fis-85	7	3	da	da	PROPN
fis-85	7	4	eventuali	eventuali	X
fis-85	7	5	buche	buche	X
fis-85	7	6	di	di	X
fis-85	7	7	energia	energia	PROPN
fis-85	7	8	di	di	PROPN
fis-85	7	9	piccola	piccola	PROPN
fis-85	7	10	taglia	taglia	PROPN
fis-85	7	11	si	si	PROPN
fis-85	7	12	adotta	adotta	PROPN
fis-85	7	13	una	una	PROPN
fis-85	7	14	sorta	sorta	NOUN
fis-85	7	15	di	di	PROPN
fis-85	7	16	rilassamento	rilassamento	NOUN
fis-85	7	17	,	,	PUNCT
fis-85	7	18	mesh	mesh	NOUN
fis-85	7	19	dependent	dependent	ADJ
fis-85	7	20	,	,	PUNCT
fis-85	7	21	della	della	PROPN
fis-85	7	22	energia	energia	PROPN
fis-85	7	23	di	di	PROPN
fis-85	7	24	interfaccia	interfaccia	PROPN
fis-85	7	25	.	.	PUNCT
fis-85	8	1	abstract	abstract	ADJ
fis-85	8	2	.	.	PUNCT
fis-85	9	1	in	in	ADP
fis-85	9	2	the	the	DET
fis-85	9	3	present	present	ADJ
fis-85	9	4	work	work	NOUN
fis-85	9	5	we	we	PRON
fis-85	9	6	present	present	VERB
fis-85	9	7	some	some	DET
fis-85	9	8	results	result	NOUN
fis-85	9	9	of	of	ADP
fis-85	9	10	numerical	numerical	ADJ
fis-85	9	11	experiments	experiment	NOUN
fis-85	9	12	obtained	obtain	VERB
fis-85	9	13	with	with	ADP
fis-85	9	14	a	a	DET
fis-85	9	15	variational	variational	ADJ
fis-85	9	16	model	model	NOUN
fis-85	9	17	for	for	ADP
fis-85	9	18	quasi	quasi	ADJ
fis-85	9	19	-	-	ADJ
fis-85	9	20	static	static	ADJ
fis-85	9	21	griffith	griffith	NOUN
fis-85	9	22	-	-	PUNCT
fis-85	9	23	type	type	NOUN
fis-85	9	24	brittle	brittle	ADJ
fis-85	9	25	fracture	fracture	NOUN
fis-85	9	26	.	.	PUNCT
fis-85	10	1	essentially	essentially	ADV
fis-85	10	2	the	the	DET
fis-85	10	3	analysis	analysis	NOUN
fis-85	10	4	is	be	AUX
fis-85	10	5	based	base	VERB
fis-85	10	6	on	on	ADP
fis-85	10	7	a	a	DET
fis-85	10	8	recent	recent	ADJ
fis-85	10	9	formulation	formulation	NOUN
fis-85	10	10	by	by	ADP
fis-85	10	11	francfort	francfort	NOUN
fis-85	10	12	and	and	CCONJ
fis-85	10	13	marigo	marigo	VERB
fis-85	10	14	the	the	DET
fis-85	10	15	main	main	ADJ
fis-85	10	16	difference	difference	NOUN
fis-85	10	17	being	be	AUX
fis-85	10	18	the	the	DET
fis-85	10	19	fact	fact	NOUN
fis-85	10	20	that	that	SCONJ
fis-85	10	21	we	we	PRON
fis-85	10	22	rely	rely	VERB
fis-85	10	23	on	on	ADP
fis-85	10	24	local	local	ADJ
fis-85	10	25	rather	rather	ADV
fis-85	10	26	than	than	ADP
fis-85	10	27	on	on	ADP
fis-85	10	28	global	global	ADJ
fis-85	10	29	minimization	minimization	NOUN
fis-85	10	30	.	.	PUNCT
fis-85	11	1	propagation	propagation	NOUN
fis-85	11	2	of	of	ADP
fis-85	11	3	fracture	fracture	NOUN
fis-85	11	4	is	be	AUX
fis-85	11	5	obtained	obtain	VERB
fis-85	11	6	by	by	ADP
fis-85	11	7	minimizing	minimize	VERB
fis-85	11	8	,	,	PUNCT
fis-85	11	9	in	in	ADP
fis-85	11	10	a	a	DET
fis-85	11	11	step	step	NOUN
fis-85	11	12	by	by	ADP
fis-85	11	13	step	step	NOUN
fis-85	11	14	process	process	NOUN
fis-85	11	15	,	,	PUNCT
fis-85	11	16	a	a	DET
fis-85	11	17	form	form	NOUN
fis-85	11	18	of	of	ADP
fis-85	11	19	energy	energy	NOUN
fis-85	11	20	that	that	PRON
fis-85	11	21	is	be	AUX
fis-85	11	22	the	the	DET
fis-85	11	23	sum	sum	NOUN
fis-85	11	24	of	of	ADP
fis-85	11	25	bulk	bulk	ADJ
fis-85	11	26	and	and	CCONJ
fis-85	11	27	interface	interface	NOUN
fis-85	11	28	terms	term	NOUN
fis-85	11	29	.	.	PUNCT
fis-85	12	1	to	to	PART
fis-85	12	2	solve	solve	VERB
fis-85	12	3	the	the	DET
fis-85	12	4	problem	problem	NOUN
fis-85	12	5	numerically	numerically	ADV
fis-85	12	6	we	we	PRON
fis-85	12	7	adopt	adopt	VERB
fis-85	12	8	discontinuous	discontinuous	ADJ
fis-85	12	9	finite	finite	NOUN
fis-85	12	10	elements	element	NOUN
fis-85	12	11	based	base	VERB
fis-85	12	12	on	on	ADP
fis-85	12	13	variable	variable	ADJ
fis-85	12	14	meshes	mesh	NOUN
fis-85	12	15	and	and	CCONJ
fis-85	12	16	search	search	NOUN
fis-85	12	17	for	for	ADP
fis-85	12	18	the	the	DET
fis-85	12	19	minima	minima	NOUN
fis-85	12	20	of	of	ADP
fis-85	12	21	the	the	DET
fis-85	12	22	energy	energy	NOUN
fis-85	12	23	through	through	ADP
fis-85	12	24	descent	descent	NOUN
fis-85	12	25	methods	method	NOUN
fis-85	12	26	.	.	PUNCT
fis-85	13	1	we	we	PRON
fis-85	13	2	use	use	VERB
fis-85	13	3	a	a	DET
fis-85	13	4	sort	sort	NOUN
fis-85	13	5	of	of	ADP
fis-85	13	6	mesh	mesh	NOUN
fis-85	13	7	dependent	dependent	ADJ
fis-85	13	8	relaxation	relaxation	NOUN
fis-85	13	9	of	of	ADP
fis-85	13	10	the	the	DET
fis-85	13	11	interface	interface	NOUN
fis-85	13	12	energy	energy	NOUN
fis-85	13	13	to	to	PART
fis-85	13	14	get	get	VERB
fis-85	13	15	out	out	ADP
fis-85	13	16	of	of	ADP
fis-85	13	17	small	small	ADJ
fis-85	13	18	energy	energy	NOUN
fis-85	13	19	wells	well	NOUN
fis-85	13	20	.	.	PUNCT
fis-85	14	1	the	the	DET
fis-85	14	2	relaxation	relaxation	NOUN
fis-85	14	3	consists	consist	VERB
fis-85	14	4	in	in	ADP
fis-85	14	5	the	the	DET
fis-85	14	6	adoption	adoption	NOUN
fis-85	14	7	of	of	ADP
fis-85	14	8	a	a	DET
fis-85	14	9	carefully	carefully	ADV
fis-85	14	10	tailored	tailor	VERB
fis-85	14	11	cohesive	cohesive	ADJ
fis-85	14	12	type	type	NOUN
fis-85	14	13	interface	interface	NOUN
fis-85	14	14	energy	energy	NOUN
fis-85	14	15	,	,	PUNCT
fis-85	14	16	tending	tend	VERB
fis-85	14	17	to	to	ADP
fis-85	14	18	the	the	DET
fis-85	14	19	griffith	griffith	PROPN
fis-85	14	20	limit	limit	NOUN
fis-85	14	21	as	as	SCONJ
fis-85	14	22	the	the	DET
fis-85	14	23	mesh	mesh	NOUN
fis-85	14	24	size	size	NOUN
fis-85	14	25	tends	tend	VERB
fis-85	14	26	to	to	ADP
fis-85	14	27	zero	zero	NUM
fis-85	14	28	.	.	PUNCT
fis-85	15	1	keywords	keyword	NOUN
fis-85	15	2	.	.	PUNCT
fis-85	16	1	griffith	griffith	PROPN
fis-85	16	2	’s	’s	PART
fis-85	16	3	fracture	fracture	NOUN
fis-85	16	4	;	;	PUNCT
fis-85	16	5	numerical	numerical	ADJ
fis-85	16	6	methods	method	NOUN
fis-85	16	7	;	;	PUNCT
fis-85	16	8	energy	energy	NOUN
fis-85	16	9	minimization	minimization	NOUN
fis-85	16	10	;	;	PUNCT
fis-85	16	11	free	free	ADJ
fis-85	16	12	discontinuities	discontinuity	NOUN
fis-85	16	13	.	.	PUNCT
fis-85	17	1	introduction	introduction	NOUN
fis-85	17	2	ur	ur	PROPN
fis-85	17	3	research	research	NOUN
fis-85	17	4	group	group	NOUN
fis-85	17	5	has	have	AUX
fis-85	17	6	developed	develop	VERB
fis-85	17	7	in	in	ADP
fis-85	17	8	the	the	DET
fis-85	17	9	last	last	ADJ
fis-85	17	10	decade	decade	NOUN
fis-85	17	11	a	a	DET
fis-85	17	12	computer	computer	NOUN
fis-85	17	13	model	model	NOUN
fis-85	17	14	for	for	ADP
fis-85	17	15	fracture	fracture	NOUN
fis-85	17	16	nucleation	nucleation	NOUN
fis-85	17	17	and	and	CCONJ
fis-85	17	18	propagation	propagation	NOUN
fis-85	17	19	in	in	ADP
fis-85	17	20	2d	2d	NUM
fis-85	17	21	brittle	brittle	ADJ
fis-85	17	22	solids	solid	NOUN
fis-85	17	23	,	,	PUNCT
fis-85	17	24	based	base	VERB
fis-85	17	25	on	on	ADP
fis-85	17	26	variational	variational	ADJ
fis-85	17	27	fracture	fracture	NOUN
fis-85	17	28	(	(	PUNCT
fis-85	17	29	see	see	VERB
fis-85	17	30	[	[	X
fis-85	17	31	1	1	NUM
fis-85	17	32	]	]	PUNCT
fis-85	17	33	,	,	PUNCT
fis-85	17	34	[	[	X
fis-85	17	35	2	2	NUM
fis-85	17	36	]	]	PUNCT
fis-85	17	37	and	and	CCONJ
fis-85	17	38	references	reference	NOUN
fis-85	17	39	therein	therein	ADV
fis-85	17	40	)	)	PUNCT
fis-85	17	41	.	.	PUNCT
fis-85	18	1	the	the	DET
fis-85	18	2	present	present	ADJ
fis-85	18	3	work	work	NOUN
fis-85	18	4	reports	report	VERB
fis-85	18	5	some	some	DET
fis-85	18	6	numerical	numerical	ADJ
fis-85	18	7	results	result	NOUN
fis-85	18	8	obtained	obtain	VERB
fis-85	18	9	with	with	ADP
fis-85	18	10	this	this	DET
fis-85	18	11	computer	computer	NOUN
fis-85	18	12	model	model	NOUN
fis-85	18	13	in	in	ADP
fis-85	18	14	quasi	quasi	ADJ
fis-85	18	15	-	-	ADJ
fis-85	18	16	static	static	ADJ
fis-85	18	17	problems	problem	NOUN
fis-85	18	18	of	of	ADP
fis-85	18	19	fracture	fracture	NOUN
fis-85	18	20	nucleation	nucleation	NOUN
fis-85	18	21	and	and	CCONJ
fis-85	18	22	o	o	PROPN
fis-85	18	23	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PRON
fis-85	18	24	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	18	25	m.	m.	NOUN
fis-85	18	26	angelillo	angelillo	VERB
fis-85	18	27	et	et	PROPN
fis-85	18	28	alii	alii	PROPN
fis-85	18	29	,	,	PUNCT
fis-85	18	30	frattura	frattura	PROPN
fis-85	18	31	ed	ed	PROPN
fis-85	18	32	integrità	integrità	PROPN
fis-85	18	33	strutturale	strutturale	PROPN
fis-85	18	34	,	,	PUNCT
fis-85	18	35	12	12	NUM
fis-85	18	36	(	(	PUNCT
fis-85	18	37	2010	2010	NUM
fis-85	18	38	)	)	PUNCT
fis-85	18	39	63	63	NUM
fis-85	18	40	-	-	SYM
fis-85	18	41	78	78	NUM
fis-85	18	42	;	;	PUNCT
fis-85	18	43	doi	doi	NOUN
fis-85	18	44	:	:	PUNCT
fis-85	18	45	10.3221	10.3221	NUM
fis-85	18	46	/	/	SYM
fis-85	18	47	igf	igf	PROPN
fis-85	18	48	-	-	ADJ
fis-85	18	49	esis.12.07	esis.12.07	ADJ
fis-85	18	50	64	64	NUM
fis-85	18	51	propagation	propagation	NOUN
fis-85	18	52	.	.	PUNCT
fis-85	19	1	essentially	essentially	ADV
fis-85	19	2	the	the	DET
fis-85	19	3	analysis	analysis	NOUN
fis-85	19	4	is	be	AUX
fis-85	19	5	based	base	VERB
fis-85	19	6	on	on	ADP
fis-85	19	7	the	the	DET
fis-85	19	8	formulation	formulation	NOUN
fis-85	19	9	of	of	ADP
fis-85	19	10	francfort	francfort	NOUN
fis-85	19	11	and	and	CCONJ
fis-85	19	12	marigo	marigo	VERB
fis-85	19	13	[	[	X
fis-85	19	14	3	3	X
fis-85	19	15	]	]	X
fis-85	19	16	the	the	DET
fis-85	19	17	main	main	ADJ
fis-85	19	18	difference	difference	NOUN
fis-85	19	19	being	be	AUX
fis-85	19	20	the	the	DET
fis-85	19	21	fact	fact	NOUN
fis-85	19	22	that	that	SCONJ
fis-85	19	23	we	we	PRON
fis-85	19	24	rely	rely	VERB
fis-85	19	25	on	on	ADP
fis-85	19	26	local	local	ADJ
fis-85	19	27	rather	rather	ADV
fis-85	19	28	than	than	ADP
fis-85	19	29	on	on	ADP
fis-85	19	30	global	global	ADJ
fis-85	19	31	minimization	minimization	NOUN
fis-85	19	32	.	.	PUNCT
fis-85	20	1	nucleation	nucleation	NOUN
fis-85	20	2	and	and	CCONJ
fis-85	20	3	propagation	propagation	NOUN
fis-85	20	4	of	of	ADP
fis-85	20	5	fracture	fracture	NOUN
fis-85	20	6	is	be	AUX
fis-85	20	7	obtained	obtain	VERB
fis-85	20	8	by	by	ADP
fis-85	20	9	minimizing	minimize	VERB
fis-85	20	10	in	in	ADP
fis-85	20	11	a	a	DET
fis-85	20	12	step	step	NOUN
fis-85	20	13	by	by	ADP
fis-85	20	14	step	step	NOUN
fis-85	20	15	process	process	NOUN
fis-85	20	16	a	a	DET
fis-85	20	17	form	form	NOUN
fis-85	20	18	of	of	ADP
fis-85	20	19	energy	energy	NOUN
fis-85	20	20	that	that	PRON
fis-85	20	21	is	be	AUX
fis-85	20	22	the	the	DET
fis-85	20	23	sum	sum	NOUN
fis-85	20	24	of	of	ADP
fis-85	20	25	bulk	bulk	ADJ
fis-85	20	26	and	and	CCONJ
fis-85	20	27	interface	interface	NOUN
fis-85	20	28	terms	term	NOUN
fis-85	20	29	.	.	PUNCT
fis-85	21	1	recent	recent	ADJ
fis-85	21	2	attempts	attempt	NOUN
fis-85	21	3	of	of	ADP
fis-85	21	4	producing	produce	VERB
fis-85	21	5	numerical	numerical	ADJ
fis-85	21	6	codes	code	NOUN
fis-85	21	7	for	for	ADP
fis-85	21	8	variational	variational	ADJ
fis-85	21	9	fracture	fracture	NOUN
fis-85	21	10	(	(	PUNCT
fis-85	21	11	see	see	VERB
fis-85	21	12	for	for	ADP
fis-85	21	13	example	example	NOUN
fis-85	21	14	the	the	DET
fis-85	21	15	works	work	NOUN
fis-85	21	16	of	of	ADP
fis-85	21	17	bourdin	bourdin	VERB
fis-85	21	18	[	[	X
fis-85	21	19	4	4	NUM
fis-85	21	20	]	]	PUNCT
fis-85	21	21	or	or	CCONJ
fis-85	21	22	del	del	PROPN
fis-85	21	23	piero	piero	PROPN
fis-85	21	24	et	et	PROPN
fis-85	21	25	al	al	PROPN
fis-85	22	1	[	[	X
fis-85	22	2	5	5	NUM
fis-85	22	3	]	]	PUNCT
fis-85	22	4	)	)	PUNCT
fis-85	22	5	are	be	AUX
fis-85	22	6	based	base	VERB
fis-85	22	7	on	on	ADP
fis-85	22	8	the	the	DET
fis-85	22	9	approximation	approximation	NOUN
fis-85	22	10	of	of	ADP
fis-85	22	11	the	the	DET
fis-85	22	12	energy	energy	NOUN
fis-85	22	13	,	,	PUNCT
fis-85	22	14	in	in	ADP
fis-85	22	15	the	the	DET
fis-85	22	16	sense	sense	NOUN
fis-85	22	17	of	of	ADP
fis-85	22	18	gamma	gamma	NOUN
fis-85	22	19	-	-	PUNCT
fis-85	22	20	convergence	convergence	NOUN
fis-85	22	21	,	,	PUNCT
fis-85	22	22	by	by	ADP
fis-85	22	23	means	mean	NOUN
fis-85	22	24	of	of	ADP
fis-85	22	25	elliptic	elliptic	ADJ
fis-85	22	26	functionals	functional	NOUN
fis-85	22	27	(	(	PUNCT
fis-85	22	28	e.g.	e.g.	ADV
fis-85	22	29	ambrosio	ambrosio	NOUN
fis-85	22	30	-	-	PUNCT
fis-85	22	31	tortorelli	tortorelli	NOUN
fis-85	22	32	approximations	approximation	NOUN
fis-85	23	1	[	[	X
fis-85	23	2	6	6	NUM
fis-85	23	3	]	]	PUNCT
fis-85	23	4	)	)	PUNCT
fis-85	23	5	.	.	PUNCT
fis-85	24	1	here	here	ADV
fis-85	24	2	instead	instead	ADV
fis-85	24	3	we	we	PRON
fis-85	24	4	adopt	adopt	VERB
fis-85	24	5	discontinuous	discontinuous	ADJ
fis-85	24	6	finite	finite	NOUN
fis-85	24	7	elements	element	NOUN
fis-85	24	8	and	and	CCONJ
fis-85	24	9	search	search	VERB
fis-85	24	10	for	for	ADP
fis-85	24	11	local	local	ADJ
fis-85	24	12	minima	minima	NOUN
fis-85	24	13	of	of	ADP
fis-85	24	14	the	the	DET
fis-85	24	15	energy	energy	NOUN
fis-85	24	16	,	,	PUNCT
fis-85	24	17	close	close	ADJ
fis-85	24	18	to	to	ADP
fis-85	24	19	equilibrium	equilibrium	NOUN
fis-85	24	20	trajectories	trajectory	NOUN
fis-85	24	21	,	,	PUNCT
fis-85	24	22	through	through	ADP
fis-85	24	23	descent	descent	NOUN
fis-85	24	24	methods	method	NOUN
fis-85	24	25	.	.	PUNCT
fis-85	25	1	in	in	ADP
fis-85	25	2	constructing	construct	VERB
fis-85	25	3	such	such	DET
fis-85	25	4	a	a	DET
fis-85	25	5	numerical	numerical	ADJ
fis-85	25	6	model	model	NOUN
fis-85	25	7	there	there	PRON
fis-85	25	8	are	be	VERB
fis-85	25	9	two	two	NUM
fis-85	25	10	main	main	ADJ
fis-85	25	11	questions	question	NOUN
fis-85	25	12	that	that	PRON
fis-85	25	13	must	must	AUX
fis-85	25	14	be	be	AUX
fis-85	25	15	answered	answer	VERB
fis-85	25	16	.	.	PUNCT
fis-85	26	1	1	1	X
fis-85	26	2	.	.	X
fis-85	26	3	the	the	DET
fis-85	26	4	variational	variational	ADJ
fis-85	26	5	model	model	NOUN
fis-85	26	6	for	for	ADP
fis-85	26	7	fracture	fracture	NOUN
fis-85	26	8	requires	require	VERB
fis-85	26	9	the	the	DET
fis-85	26	10	ability	ability	NOUN
fis-85	26	11	to	to	PART
fis-85	26	12	accurately	accurately	ADV
fis-85	26	13	approximate	approximate	VERB
fis-85	26	14	the	the	DET
fis-85	26	15	location	location	NOUN
fis-85	26	16	of	of	ADP
fis-85	26	17	cracks	crack	NOUN
fis-85	26	18	,	,	PUNCT
fis-85	26	19	as	as	ADV
fis-85	26	20	well	well	ADV
fis-85	26	21	as	as	ADP
fis-85	26	22	their	their	PRON
fis-85	26	23	length	length	NOUN
fis-85	26	24	.	.	PUNCT
fis-85	27	1	cracks	crack	NOUN
fis-85	27	2	may	may	AUX
fis-85	27	3	not	not	PART
fis-85	27	4	be	be	AUX
fis-85	27	5	restricted	restrict	VERB
fis-85	27	6	to	to	PART
fis-85	27	7	propagate	propagate	VERB
fis-85	27	8	along	along	ADP
fis-85	27	9	the	the	DET
fis-85	27	10	skeleton	skeleton	NOUN
fis-85	27	11	of	of	ADP
fis-85	27	12	a	a	DET
fis-85	27	13	fixed	fix	VERB
fis-85	27	14	finite	finite	ADJ
fis-85	27	15	element	element	NOUN
fis-85	27	16	mesh	mesh	NOUN
fis-85	27	17	.	.	PUNCT
fis-85	28	1	to	to	PART
fis-85	28	2	overcome	overcome	VERB
fis-85	28	3	this	this	DET
fis-85	28	4	difficulty	difficulty	NOUN
fis-85	28	5	our	our	PRON
fis-85	28	6	mesh	mesh	NOUN
fis-85	28	7	is	be	AUX
fis-85	28	8	made	make	VERB
fis-85	28	9	variable	variable	ADJ
fis-85	28	10	in	in	ADP
fis-85	28	11	the	the	DET
fis-85	28	12	sense	sense	NOUN
fis-85	28	13	that	that	SCONJ
fis-85	28	14	node	node	ADJ
fis-85	28	15	positions	position	NOUN
fis-85	28	16	in	in	ADP
fis-85	28	17	the	the	DET
fis-85	28	18	reference	reference	NOUN
fis-85	28	19	configuration	configuration	NOUN
fis-85	28	20	of	of	ADP
fis-85	28	21	the	the	DET
fis-85	28	22	body	body	NOUN
fis-85	28	23	are	be	AUX
fis-85	28	24	considered	consider	VERB
fis-85	28	25	as	as	ADP
fis-85	28	26	further	further	ADJ
fis-85	28	27	variables	variable	NOUN
fis-85	28	28	.	.	PUNCT
fis-85	29	1	2	2	X
fis-85	29	2	.	.	X
fis-85	29	3	on	on	ADP
fis-85	29	4	adopting	adopt	VERB
fis-85	29	5	a	a	DET
fis-85	29	6	griffith	griffith	PROPN
fis-85	29	7	type	type	NOUN
fis-85	29	8	interface	interface	NOUN
fis-85	29	9	energy	energy	NOUN
fis-85	29	10	the	the	DET
fis-85	29	11	initiation	initiation	NOUN
fis-85	29	12	of	of	ADP
fis-85	29	13	fracture	fracture	NOUN
fis-85	29	14	in	in	ADP
fis-85	29	15	a	a	DET
fis-85	29	16	previously	previously	ADV
fis-85	29	17	virgin	virgin	ADJ
fis-85	29	18	body	body	NOUN
fis-85	29	19	is	be	AUX
fis-85	29	20	always	always	ADV
fis-85	29	21	"	"	PUNCT
fis-85	29	22	brutal	brutal	ADJ
fis-85	29	23	"	"	PUNCT
fis-85	29	24	,	,	PUNCT
fis-85	29	25	that	that	PRON
fis-85	29	26	is	be	AUX
fis-85	29	27	the	the	DET
fis-85	29	28	system	system	NOUN
fis-85	29	29	can	can	AUX
fis-85	29	30	not	not	PART
fis-85	29	31	proceed	proceed	VERB
fis-85	29	32	along	along	ADP
fis-85	29	33	neutral	neutral	ADJ
fis-85	29	34	equilibrium	equilibrium	NOUN
fis-85	29	35	paths	path	NOUN
fis-85	29	36	or	or	CCONJ
fis-85	29	37	,	,	PUNCT
fis-85	29	38	in	in	ADP
fis-85	29	39	other	other	ADJ
fis-85	29	40	words	word	NOUN
fis-85	29	41	,	,	PUNCT
fis-85	29	42	descent	descent	NOUN
fis-85	29	43	directions	direction	NOUN
fis-85	29	44	toward	toward	ADP
fis-85	29	45	local	local	ADJ
fis-85	29	46	minima	minima	NOUN
fis-85	29	47	do	do	AUX
fis-85	29	48	not	not	PART
fis-85	29	49	exist	exist	VERB
fis-85	29	50	.	.	PUNCT
fis-85	30	1	to	to	PART
fis-85	30	2	reach	reach	VERB
fis-85	30	3	local	local	ADJ
fis-85	30	4	minima	minima	NOUN
fis-85	30	5	the	the	DET
fis-85	30	6	system	system	NOUN
fis-85	30	7	must	must	AUX
fis-85	30	8	have	have	VERB
fis-85	30	9	the	the	DET
fis-85	30	10	ability	ability	NOUN
fis-85	30	11	to	to	PART
fis-85	30	12	surmount	surmount	VERB
fis-85	30	13	small	small	ADJ
fis-85	30	14	energy	energy	NOUN
fis-85	30	15	barriers	barrier	NOUN
fis-85	30	16	and	and	CCONJ
fis-85	30	17	then	then	ADV
fis-85	30	18	proceed	proceed	VERB
fis-85	30	19	through	through	ADP
fis-85	30	20	“	"	PUNCT
fis-85	30	21	non	non	ADJ
fis-85	30	22	-	-	ADJ
fis-85	30	23	equilibrium	equilibrium	ADJ
fis-85	30	24	”	"	PUNCT
fis-85	30	25	descent	descent	NOUN
fis-85	30	26	paths	path	NOUN
fis-85	30	27	.	.	PUNCT
fis-85	31	1	here	here	ADV
fis-85	31	2	we	we	PRON
fis-85	31	3	use	use	VERB
fis-85	31	4	a	a	DET
fis-85	31	5	sort	sort	NOUN
fis-85	31	6	of	of	ADP
fis-85	31	7	mesh	mesh	NOUN
fis-85	31	8	dependent	dependent	ADJ
fis-85	31	9	relaxation	relaxation	NOUN
fis-85	31	10	of	of	ADP
fis-85	31	11	the	the	DET
fis-85	31	12	interface	interface	NOUN
fis-85	31	13	energy	energy	NOUN
fis-85	31	14	to	to	PART
fis-85	31	15	get	get	VERB
fis-85	31	16	out	out	ADP
fis-85	31	17	of	of	ADP
fis-85	31	18	small	small	ADJ
fis-85	31	19	energy	energy	NOUN
fis-85	31	20	wells	well	NOUN
fis-85	31	21	.	.	PUNCT
fis-85	32	1	the	the	DET
fis-85	32	2	relaxation	relaxation	NOUN
fis-85	32	3	consists	consist	VERB
fis-85	32	4	in	in	ADP
fis-85	32	5	the	the	DET
fis-85	32	6	adoption	adoption	NOUN
fis-85	32	7	of	of	ADP
fis-85	32	8	a	a	DET
fis-85	32	9	carefully	carefully	ADV
fis-85	32	10	tailored	tailor	VERB
fis-85	32	11	cohesive	cohesive	ADJ
fis-85	32	12	type	type	NOUN
fis-85	32	13	interface	interface	NOUN
fis-85	32	14	energy	energy	NOUN
fis-85	32	15	,	,	PUNCT
fis-85	32	16	tending	tend	VERB
fis-85	32	17	to	to	ADP
fis-85	32	18	the	the	DET
fis-85	32	19	griffith	griffith	PROPN
fis-85	32	20	limit	limit	NOUN
fis-85	32	21	as	as	SCONJ
fis-85	32	22	the	the	DET
fis-85	32	23	mesh	mesh	NOUN
fis-85	32	24	size	size	NOUN
fis-85	32	25	tends	tend	VERB
fis-85	32	26	to	to	ADP
fis-85	32	27	zero	zero	NUM
fis-85	32	28	.	.	PUNCT
fis-85	33	1	in	in	ADP
fis-85	33	2	the	the	DET
fis-85	33	3	first	first	ADJ
fis-85	33	4	part	part	NOUN
fis-85	33	5	of	of	ADP
fis-85	33	6	the	the	DET
fis-85	33	7	paper	paper	NOUN
fis-85	33	8	we	we	PRON
fis-85	33	9	give	give	VERB
fis-85	33	10	the	the	DET
fis-85	33	11	main	main	ADJ
fis-85	33	12	ingredients	ingredient	NOUN
fis-85	33	13	of	of	ADP
fis-85	33	14	the	the	DET
fis-85	33	15	theory	theory	NOUN
fis-85	33	16	and	and	CCONJ
fis-85	33	17	of	of	ADP
fis-85	33	18	the	the	DET
fis-85	33	19	model	model	NOUN
fis-85	33	20	implementation	implementation	NOUN
fis-85	33	21	.	.	PUNCT
fis-85	34	1	in	in	ADP
fis-85	34	2	the	the	DET
fis-85	34	3	final	final	ADJ
fis-85	34	4	part	part	NOUN
fis-85	34	5	of	of	ADP
fis-85	34	6	the	the	DET
fis-85	34	7	paper	paper	NOUN
fis-85	34	8	,	,	PUNCT
fis-85	34	9	some	some	DET
fis-85	34	10	examples	example	NOUN
fis-85	34	11	concerning	concern	VERB
fis-85	34	12	fracture	fracture	NOUN
fis-85	34	13	nucleation	nucleation	NOUN
fis-85	34	14	and	and	CCONJ
fis-85	34	15	propagation	propagation	NOUN
fis-85	34	16	are	be	AUX
fis-85	34	17	presented	present	VERB
fis-85	34	18	.	.	PUNCT
fis-85	35	1	griffith	griffith	PROPN
fis-85	35	2	’s	’s	PART
fis-85	35	3	versus	versus	ADP
fis-85	35	4	variational	variational	ADJ
fis-85	35	5	fracture	fracture	NOUN
fis-85	35	6	mechanics	mechanic	NOUN
fis-85	35	7	n	n	ADP
fis-85	35	8	the	the	DET
fis-85	35	9	theory	theory	NOUN
fis-85	35	10	of	of	ADP
fis-85	35	11	brittle	brittle	ADJ
fis-85	35	12	fracture	fracture	NOUN
fis-85	35	13	due	due	ADP
fis-85	35	14	to	to	ADP
fis-85	35	15	griffith	griffith	PROPN
fis-85	35	16	,	,	PUNCT
fis-85	35	17	cracking	cracking	NOUN
fis-85	35	18	is	be	AUX
fis-85	35	19	associated	associate	VERB
fis-85	35	20	to	to	ADP
fis-85	35	21	the	the	DET
fis-85	35	22	existence	existence	NOUN
fis-85	35	23	of	of	ADP
fis-85	35	24	surface	surface	NOUN
fis-85	35	25	energy	energy	NOUN
fis-85	35	26	and	and	CCONJ
fis-85	35	27	the	the	DET
fis-85	35	28	propagation	propagation	NOUN
fis-85	35	29	of	of	ADP
fis-85	35	30	cracks	crack	NOUN
fis-85	35	31	to	to	ADP
fis-85	35	32	the	the	DET
fis-85	35	33	competition	competition	NOUN
fis-85	35	34	between	between	ADP
fis-85	35	35	surface	surface	NOUN
fis-85	35	36	energy	energy	NOUN
fis-85	35	37	and	and	CCONJ
fis-85	35	38	potential	potential	ADJ
fis-85	35	39	energy	energy	NOUN
fis-85	35	40	release	release	NOUN
fis-85	35	41	during	during	ADP
fis-85	35	42	an	an	DET
fis-85	35	43	infinitesimal	infinitesimal	ADJ
fis-85	35	44	increase	increase	NOUN
fis-85	35	45	of	of	ADP
fis-85	35	46	the	the	DET
fis-85	35	47	crack	crack	NOUN
fis-85	35	48	length	length	NOUN
fis-85	35	49	“	"	PUNCT
fis-85	35	50	c	c	NOUN
fis-85	35	51	”	"	PUNCT
fis-85	35	52	.	.	PUNCT
fis-85	36	1	a	a	DET
fis-85	36	2	number	number	NOUN
fis-85	36	3	of	of	ADP
fis-85	36	4	authors	author	NOUN
fis-85	36	5	,	,	PUNCT
fis-85	36	6	since	since	SCONJ
fis-85	36	7	the	the	DET
fis-85	36	8	pioneering	pioneering	ADJ
fis-85	36	9	work	work	NOUN
fis-85	36	10	of	of	ADP
fis-85	36	11	ambrosio	ambrosio	NOUN
fis-85	36	12	and	and	CCONJ
fis-85	36	13	braides	braide	NOUN
fis-85	36	14	[	[	X
fis-85	36	15	7	7	X
fis-85	36	16	]	]	PUNCT
fis-85	36	17	in	in	ADP
fis-85	36	18	1995	1995	NUM
fis-85	36	19	,	,	PUNCT
fis-85	36	20	has	have	AUX
fis-85	36	21	proposed	propose	VERB
fis-85	36	22	variational	variational	ADJ
fis-85	36	23	models	model	NOUN
fis-85	36	24	of	of	ADP
fis-85	36	25	brittle	brittle	ADJ
fis-85	36	26	fracture	fracture	NOUN
fis-85	36	27	based	base	VERB
fis-85	36	28	on	on	ADP
fis-85	36	29	global	global	ADJ
fis-85	36	30	energy	energy	NOUN
fis-85	36	31	minimization	minimization	NOUN
fis-85	36	32	with	with	ADP
fis-85	36	33	free	free	ADJ
fis-85	36	34	discontinuities	discontinuity	NOUN
fis-85	36	35	(	(	PUNCT
fis-85	36	36	for	for	ADP
fis-85	36	37	early	early	ADJ
fis-85	36	38	thoughts	thought	NOUN
fis-85	36	39	on	on	ADP
fis-85	36	40	minimization	minimization	NOUN
fis-85	36	41	with	with	ADP
fis-85	36	42	free	free	ADJ
fis-85	36	43	discontinuities	discontinuity	NOUN
fis-85	36	44	see	see	VERB
fis-85	36	45	de	de	X
fis-85	36	46	giorgi	giorgi	PROPN
fis-85	36	47	[	[	X
fis-85	36	48	8	8	NUM
fis-85	36	49	]	]	NUM
fis-85	36	50	)	)	PUNCT
fis-85	36	51	.	.	PUNCT
fis-85	37	1	the	the	DET
fis-85	37	2	basic	basic	ADJ
fis-85	37	3	idea	idea	NOUN
fis-85	37	4	is	be	AUX
fis-85	37	5	to	to	PART
fis-85	37	6	use	use	VERB
fis-85	37	7	the	the	DET
fis-85	37	8	competition	competition	NOUN
fis-85	37	9	between	between	ADP
fis-85	37	10	bulk	bulk	NOUN
fis-85	37	11	and	and	CCONJ
fis-85	37	12	interface	interface	NOUN
fis-85	37	13	energy	energy	NOUN
fis-85	37	14	that	that	PRON
fis-85	37	15	is	be	AUX
fis-85	37	16	implicit	implicit	ADJ
fis-85	37	17	in	in	ADP
fis-85	37	18	griffith	griffith	PROPN
fis-85	37	19	’s	’s	PART
fis-85	37	20	theory	theory	NOUN
fis-85	37	21	,	,	PUNCT
fis-85	37	22	[	[	X
fis-85	37	23	9	9	NUM
fis-85	37	24	]	]	PUNCT
fis-85	37	25	,	,	PUNCT
fis-85	37	26	as	as	ADP
fis-85	37	27	the	the	DET
fis-85	37	28	driving	drive	VERB
fis-85	37	29	criterion	criterion	NOUN
fis-85	37	30	for	for	ADP
fis-85	37	31	optimal	optimal	ADJ
fis-85	37	32	crack	crack	NOUN
fis-85	37	33	selection	selection	NOUN
fis-85	37	34	.	.	PUNCT
fis-85	38	1	global	global	ADJ
fis-85	38	2	energy	energy	NOUN
fis-85	38	3	minimization	minimization	NOUN
fis-85	38	4	remedies	remedy	VERB
fis-85	38	5	to	to	ADP
fis-85	38	6	two	two	NUM
fis-85	38	7	main	main	ADJ
fis-85	38	8	shortcomings	shortcoming	NOUN
fis-85	38	9	of	of	ADP
fis-85	38	10	griffith	griffith	PROPN
fis-85	38	11	’s	’s	PART
fis-85	38	12	theory	theory	NOUN
fis-85	38	13	,	,	PUNCT
fis-85	38	14	namely	namely	ADV
fis-85	38	15			ADP
fis-85	38	16	initiation	initiation	NOUN
fis-85	38	17	:	:	PUNCT
fis-85	38	18	griffith	griffith	PROPN
fis-85	38	19	’s	’s	PART
fis-85	38	20	is	be	AUX
fis-85	38	21	a	a	DET
fis-85	38	22	model	model	NOUN
fis-85	38	23	for	for	ADP
fis-85	38	24	crack	crack	NOUN
fis-85	38	25	growth	growth	NOUN
fis-85	38	26	from	from	ADP
fis-85	38	27	a	a	DET
fis-85	38	28	pre	pre	ADJ
fis-85	38	29	-	-	ADJ
fis-85	38	30	existing	existing	ADJ
fis-85	38	31	crack	crack	NOUN
fis-85	38	32	,	,	PUNCT
fis-85	38	33	not	not	PART
fis-85	38	34	a	a	DET
fis-85	38	35	model	model	NOUN
fis-85	38	36	for	for	ADP
fis-85	38	37	crack	crack	NOUN
fis-85	38	38	nucleation	nucleation	NOUN
fis-85	38	39	.	.	PUNCT
fis-85	39	1	indeed	indeed	ADV
fis-85	39	2	the	the	DET
fis-85	39	3	cost	cost	NOUN
fis-85	39	4	of	of	ADP
fis-85	39	5	surface	surface	NOUN
fis-85	39	6	energy	energy	NOUN
fis-85	39	7	for	for	ADP
fis-85	39	8	the	the	DET
fis-85	39	9	creation	creation	NOUN
fis-85	39	10	of	of	ADP
fis-85	39	11	an	an	DET
fis-85	39	12	infinitesimally	infinitesimally	ADV
fis-85	39	13	long	long	ADJ
fis-85	39	14	crack	crack	NOUN
fis-85	39	15	can	can	AUX
fis-85	39	16	not	not	PART
fis-85	39	17	be	be	AUX
fis-85	39	18	compensated	compensate	VERB
fis-85	39	19	by	by	ADP
fis-85	39	20	the	the	DET
fis-85	39	21	elastic	elastic	ADJ
fis-85	39	22	energy	energy	NOUN
fis-85	39	23	release	release	NOUN
fis-85	39	24	in	in	ADP
fis-85	39	25	an	an	DET
fis-85	39	26	originally	originally	ADV
fis-85	39	27	“	"	PUNCT
fis-85	39	28	flawless	flawless	ADJ
fis-85	39	29	”	"	PUNCT
fis-85	39	30	body	body	NOUN
fis-85	39	31	.	.	PUNCT
fis-85	40	1			PUNCT
fis-85	40	2	crack	crack	VERB
fis-85	40	3	path	path	NOUN
fis-85	40	4	selection	selection	NOUN
fis-85	40	5	:	:	PUNCT
fis-85	40	6	griffith	griffith	PROPN
fis-85	40	7	’s	’s	PART
fis-85	40	8	model	model	NOUN
fis-85	40	9	is	be	AUX
fis-85	40	10	restricted	restrict	VERB
fis-85	40	11	to	to	ADP
fis-85	40	12	the	the	DET
fis-85	40	13	study	study	NOUN
fis-85	40	14	of	of	ADP
fis-85	40	15	crack	crack	VERB
fis-85	40	16	propagation	propagation	NOUN
fis-85	40	17	along	along	ADP
fis-85	40	18	a	a	DET
fis-85	40	19	given	give	VERB
fis-85	40	20	path	path	NOUN
fis-85	40	21	.	.	PUNCT
fis-85	41	1	in	in	ADP
fis-85	41	2	the	the	DET
fis-85	41	3	original	original	ADJ
fis-85	41	4	formulation	formulation	NOUN
fis-85	41	5	the	the	DET
fis-85	41	6	energy	energy	NOUN
fis-85	41	7	balance	balance	NOUN
fis-85	41	8	is	be	AUX
fis-85	41	9	expressed	express	VERB
fis-85	41	10	in	in	ADP
fis-85	41	11	terms	term	NOUN
fis-85	41	12	of	of	ADP
fis-85	41	13	“	"	PUNCT
fis-85	41	14	c	c	NOUN
fis-85	41	15	”	"	PUNCT
fis-85	41	16	only	only	ADV
fis-85	41	17	.	.	PUNCT
fis-85	42	1	the	the	DET
fis-85	42	2	variational	variational	ADJ
fis-85	42	3	formulation	formulation	NOUN
fis-85	42	4	based	base	VERB
fis-85	42	5	on	on	ADP
fis-85	42	6	global	global	ADJ
fis-85	42	7	minimization	minimization	NOUN
fis-85	42	8	which	which	PRON
fis-85	42	9	looks	look	VERB
fis-85	42	10	at	at	ADP
fis-85	42	11	the	the	DET
fis-85	42	12	crack	crack	NOUN
fis-85	42	13	set	set	VERB
fis-85	42	14	as	as	ADP
fis-85	42	15	one	one	NUM
fis-85	42	16	of	of	ADP
fis-85	42	17	the	the	DET
fis-85	42	18	sought	seek	VERB
fis-85	42	19	unknowns	unknown	NOUN
fis-85	42	20	,	,	PUNCT
fis-85	42	21	leads	lead	VERB
fis-85	42	22	naturally	naturally	ADV
fis-85	42	23	to	to	ADP
fis-85	42	24	the	the	DET
fis-85	42	25	search	search	NOUN
fis-85	42	26	of	of	ADP
fis-85	42	27	crack	crack	NOUN
fis-85	42	28	paths	path	NOUN
fis-85	42	29	without	without	ADP
fis-85	42	30	any	any	DET
fis-85	42	31	restriction	restriction	NOUN
fis-85	42	32	on	on	ADP
fis-85	42	33	crack	crack	NOUN
fis-85	42	34	topology	topology	NOUN
fis-85	42	35	,	,	PUNCT
fis-85	42	36	thus	thus	ADV
fis-85	42	37	allowing	allow	VERB
fis-85	42	38	,	,	PUNCT
fis-85	42	39	at	at	ADP
fis-85	42	40	least	least	ADJ
fis-85	42	41	in	in	ADP
fis-85	42	42	principle	principle	NOUN
fis-85	42	43	,	,	PUNCT
fis-85	42	44	the	the	DET
fis-85	42	45	study	study	NOUN
fis-85	42	46	of	of	ADP
fis-85	42	47	initiation	initiation	NOUN
fis-85	42	48	and	and	CCONJ
fis-85	42	49	,	,	PUNCT
fis-85	42	50	possibly	possibly	ADV
fis-85	42	51	,	,	PUNCT
fis-85	42	52	branching	branch	VERB
fis-85	42	53	.	.	PUNCT
fis-85	43	1	there	there	PRON
fis-85	43	2	are	be	VERB
fis-85	43	3	two	two	NUM
fis-85	43	4	main	main	ADJ
fis-85	43	5	criticisms	criticism	NOUN
fis-85	43	6	to	to	ADP
fis-85	43	7	variational	variational	ADJ
fis-85	43	8	fracture	fracture	NOUN
fis-85	43	9	:	:	PUNCT
fis-85	44	1	1	1	X
fis-85	44	2	.	.	X
fis-85	44	3	the	the	DET
fis-85	44	4	minimum	minimum	ADJ
fis-85	44	5	energy	energy	NOUN
fis-85	44	6	formulation	formulation	NOUN
fis-85	44	7	implies	imply	VERB
fis-85	44	8	reversibility	reversibility	NOUN
fis-85	44	9	but	but	CCONJ
fis-85	44	10	fracture	fracture	NOUN
fis-85	44	11	is	be	AUX
fis-85	44	12	an	an	DET
fis-85	44	13	inherently	inherently	ADV
fis-85	44	14	irreversible	irreversible	ADJ
fis-85	44	15	phenomenon	phenomenon	NOUN
fis-85	44	16	.	.	PUNCT
fis-85	45	1	2	2	X
fis-85	45	2	.	.	X
fis-85	45	3	global	global	ADJ
fis-85	45	4	minimality	minimality	NOUN
fis-85	45	5	does	do	AUX
fis-85	45	6	not	not	PART
fis-85	45	7	seem	seem	VERB
fis-85	45	8	physically	physically	ADV
fis-85	45	9	correct	correct	ADJ
fis-85	45	10	.	.	PUNCT
fis-85	46	1	the	the	DET
fis-85	46	2	“	"	PUNCT
fis-85	46	3	infinitesimal	infinitesimal	ADJ
fis-85	46	4	”	"	PUNCT
fis-85	46	5	local	local	ADJ
fis-85	46	6	minimality	minimality	NOUN
fis-85	46	7	of	of	ADP
fis-85	46	8	the	the	DET
fis-85	46	9	griffith	griffith	PROPN
fis-85	46	10	’s	’s	PART
fis-85	46	11	theory	theory	NOUN
fis-85	46	12	is	be	AUX
fis-85	46	13	presumably	presumably	ADV
fis-85	46	14	not	not	PART
fis-85	46	15	correct	correct	ADJ
fis-85	46	16	either	either	ADV
fis-85	46	17	but	but	CCONJ
fis-85	46	18	at	at	ADP
fis-85	46	19	least	least	ADJ
fis-85	46	20	does	do	AUX
fis-85	46	21	not	not	PART
fis-85	46	22	lead	lead	VERB
fis-85	46	23	to	to	ADP
fis-85	46	24	paradoxes	paradox	NOUN
fis-85	46	25	such	such	ADJ
fis-85	46	26	as	as	ADP
fis-85	46	27	the	the	DET
fis-85	46	28	impossibility	impossibility	NOUN
fis-85	46	29	of	of	ADP
fis-85	46	30	equilibrium	equilibrium	NOUN
fis-85	46	31	under	under	ADP
fis-85	46	32	purely	purely	ADV
fis-85	46	33	tensile	tensile	ADJ
fis-85	46	34	loading	loading	NOUN
fis-85	46	35	.	.	PUNCT
fis-85	47	1	in	in	ADP
fis-85	47	2	1998	1998	NUM
fis-85	47	3	francfort	francfort	NOUN
fis-85	47	4	&	&	CCONJ
fis-85	47	5	marigo	marigo	PROPN
fis-85	47	6	formulated	formulate	VERB
fis-85	47	7	a	a	DET
fis-85	47	8	consistent	consistent	ADJ
fis-85	47	9	variational	variational	ADJ
fis-85	47	10	model	model	NOUN
fis-85	47	11	of	of	ADP
fis-85	47	12	fracture	fracture	NOUN
fis-85	47	13	respecting	respect	VERB
fis-85	47	14	the	the	DET
fis-85	47	15	irreversibility	irreversibility	NOUN
fis-85	47	16	of	of	ADP
fis-85	47	17	the	the	DET
fis-85	47	18	phenomenon	phenomenon	NOUN
fis-85	47	19	,	,	PUNCT
fis-85	47	20	but	but	CCONJ
fis-85	47	21	again	again	ADV
fis-85	47	22	based	base	VERB
fis-85	47	23	on	on	ADP
fis-85	47	24	global	global	ADJ
fis-85	47	25	minimality	minimality	NOUN
fis-85	47	26	.	.	PUNCT
fis-85	48	1	the	the	DET
fis-85	48	2	problem	problem	NOUN
fis-85	48	3	is	be	AUX
fis-85	48	4	formulated	formulate	VERB
fis-85	48	5	as	as	ADP
fis-85	48	6	a	a	DET
fis-85	48	7	quasi	quasi	ADJ
fis-85	48	8	-	-	ADJ
fis-85	48	9	static	static	ADJ
fis-85	48	10	evolution	evolution	NOUN
fis-85	48	11	problem	problem	NOUN
fis-85	48	12	in	in	ADP
fis-85	48	13	which	which	PRON
fis-85	48	14	the	the	DET
fis-85	48	15	geometry	geometry	NOUN
fis-85	48	16	and	and	CCONJ
fis-85	48	17	size	size	NOUN
fis-85	48	18	of	of	ADP
fis-85	48	19	the	the	DET
fis-85	48	20	cracks	crack	NOUN
fis-85	48	21	are	be	AUX
fis-85	48	22	limited	limit	VERB
fis-85	48	23	by	by	ADP
fis-85	48	24	their	their	PRON
fis-85	48	25	precedessors	precedessor	NOUN
fis-85	48	26	.	.	PUNCT
fis-85	49	1	a	a	DET
fis-85	49	2	more	more	ADV
fis-85	49	3	realistic	realistic	ADJ
fis-85	49	4	approach	approach	NOUN
fis-85	49	5	that	that	PRON
fis-85	49	6	would	would	AUX
fis-85	49	7	investigate	investigate	VERB
fis-85	49	8	local	local	ADJ
fis-85	49	9	minimizers	minimizer	NOUN
fis-85	49	10	still	still	ADV
fis-85	49	11	lacks	lack	VERB
fis-85	49	12	of	of	ADP
fis-85	49	13	the	the	DET
fis-85	49	14	necessary	necessary	ADJ
fis-85	49	15	mathematical	mathematical	ADJ
fis-85	49	16	apparatus	apparatus	NOUN
fis-85	49	17	(	(	PUNCT
fis-85	49	18	though	though	SCONJ
fis-85	49	19	the	the	DET
fis-85	49	20	recents	recent	NOUN
fis-85	49	21	attempts	attempt	NOUN
fis-85	49	22	of	of	ADP
fis-85	49	23	dal	dal	NOUN
fis-85	49	24	maso	maso	PROPN
fis-85	49	25	&	&	CCONJ
fis-85	49	26	toader	toader	NOUN
fis-85	50	1	[	[	X
fis-85	50	2	10	10	NUM
fis-85	50	3	]	]	PUNCT
fis-85	50	4	and	and	CCONJ
fis-85	50	5	larsen	larsen	PROPN
fis-85	51	1	[	[	X
fis-85	51	2	11	11	NUM
fis-85	51	3	]	]	PUNCT
fis-85	51	4	must	must	AUX
fis-85	51	5	be	be	AUX
fis-85	51	6	aknowledged	aknowledge	VERB
fis-85	51	7	)	)	PUNCT
fis-85	51	8	.	.	PUNCT
fis-85	52	1	our	our	PRON
fis-85	52	2	work	work	NOUN
fis-85	52	3	,	,	PUNCT
fis-85	52	4	as	as	SCONJ
fis-85	52	5	described	describe	VERB
fis-85	52	6	in	in	ADP
fis-85	52	7	the	the	DET
fis-85	52	8	introduction	introduction	NOUN
fis-85	52	9	,	,	PUNCT
fis-85	52	10	is	be	AUX
fis-85	52	11	devoted	devote	VERB
fis-85	52	12	to	to	PART
fis-85	52	13	assess	assess	VERB
fis-85	52	14	,	,	PUNCT
fis-85	52	15	through	through	ADP
fis-85	52	16	numerical	numerical	ADJ
fis-85	52	17	experiments	experiment	NOUN
fis-85	52	18	,	,	PUNCT
fis-85	52	19	the	the	DET
fis-85	52	20	ability	ability	NOUN
fis-85	52	21	of	of	ADP
fis-85	52	22	a	a	DET
fis-85	52	23	variational	variational	ADJ
fis-85	52	24	model	model	NOUN
fis-85	52	25	of	of	ADP
fis-85	52	26	fracture	fracture	NOUN
fis-85	52	27	based	base	VERB
fis-85	52	28	on	on	ADP
fis-85	52	29	local	local	ADJ
fis-85	52	30	minimization	minimization	NOUN
fis-85	52	31	to	to	PART
fis-85	52	32	model	model	VERB
fis-85	52	33	fracture	fracture	NOUN
fis-85	52	34	initiation	initiation	NOUN
fis-85	52	35	and	and	CCONJ
fis-85	52	36	propagation	propagation	NOUN
fis-85	52	37	.	.	PUNCT
fis-85	53	1	from	from	ADP
fis-85	53	2	the	the	DET
fis-85	53	3	numerical	numerical	ADJ
fis-85	53	4	point	point	NOUN
fis-85	53	5	of	of	ADP
fis-85	53	6	view	view	NOUN
fis-85	53	7	the	the	DET
fis-85	53	8	main	main	ADJ
fis-85	53	9	issue	issue	NOUN
fis-85	53	10	with	with	ADP
fis-85	53	11	local	local	ADJ
fis-85	53	12	minimization	minimization	NOUN
fis-85	53	13	is	be	AUX
fis-85	53	14	how	how	SCONJ
fis-85	53	15	the	the	DET
fis-85	53	16	material	material	NOUN
fis-85	53	17	moves	move	VERB
fis-85	53	18	from	from	ADP
fis-85	53	19	an	an	DET
fis-85	53	20	equilibrium	equilibrium	NOUN
fis-85	53	21	i	i	PRON
fis-85	53	22	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	VERB
fis-85	53	23	http://www.gruppofrattura.it	http://www.gruppofrattura.it	NOUN
fis-85	53	24	m.	m.	NOUN
fis-85	53	25	angelillo	angelillo	VERB
fis-85	53	26	et	et	PROPN
fis-85	53	27	alii	alii	PROPN
fis-85	53	28	,	,	PUNCT
fis-85	53	29	frattura	frattura	PROPN
fis-85	53	30	ed	ed	PROPN
fis-85	53	31	integrità	integrità	PROPN
fis-85	53	32	strutturale	strutturale	PROPN
fis-85	53	33	,	,	PUNCT
fis-85	53	34	12	12	NUM
fis-85	53	35	(	(	PUNCT
fis-85	53	36	2010	2010	NUM
fis-85	53	37	)	)	PUNCT
fis-85	53	38	63	63	NUM
fis-85	53	39	-	-	SYM
fis-85	53	40	78	78	NUM
fis-85	53	41	;	;	PUNCT
fis-85	53	42	doi	doi	NOUN
fis-85	53	43	:	:	PUNCT
fis-85	53	44	10.3221	10.3221	NUM
fis-85	53	45	/	/	SYM
fis-85	53	46	igf	igf	PROPN
fis-85	53	47	-	-	ADJ
fis-85	53	48	esis.12.07	esis.12.07	ADJ
fis-85	53	49	65	65	NUM
fis-85	53	50	state	state	NOUN
fis-85	53	51	to	to	ADP
fis-85	53	52	another	another	PRON
fis-85	53	53	.	.	PUNCT
fis-85	54	1	though	though	SCONJ
fis-85	54	2	it	it	PRON
fis-85	54	3	seems	seem	VERB
fis-85	54	4	natural	natural	ADJ
fis-85	54	5	to	to	PART
fis-85	54	6	look	look	VERB
fis-85	54	7	at	at	ADP
fis-85	54	8	“	"	PUNCT
fis-85	54	9	gradient	gradient	ADJ
fis-85	54	10	flows	flow	NOUN
fis-85	54	11	”	"	PUNCT
fis-85	54	12	,	,	PUNCT
fis-85	54	13	so	so	SCONJ
fis-85	54	14	that	that	SCONJ
fis-85	54	15	the	the	DET
fis-85	54	16	material	material	NOUN
fis-85	54	17	moves	move	VERB
fis-85	54	18	downhill	downhill	ADV
fis-85	54	19	in	in	ADP
fis-85	54	20	the	the	DET
fis-85	54	21	steepest	steep	ADJ
fis-85	54	22	direction	direction	NOUN
fis-85	54	23	,	,	PUNCT
fis-85	54	24	in	in	ADP
fis-85	54	25	studying	study	VERB
fis-85	54	26	initiation	initiation	NOUN
fis-85	54	27	(	(	PUNCT
fis-85	54	28	that	that	PRON
fis-85	54	29	is	be	AUX
fis-85	54	30	the	the	DET
fis-85	54	31	onset	onset	NOUN
fis-85	54	32	of	of	ADP
fis-85	54	33	cracks	crack	NOUN
fis-85	54	34	in	in	ADP
fis-85	54	35	a	a	DET
fis-85	54	36	previously	previously	ADV
fis-85	54	37	flawless	flawless	ADJ
fis-85	54	38	body	body	NOUN
fis-85	54	39	)	)	PUNCT
fis-85	54	40	the	the	DET
fis-85	54	41	crack	crack	NOUN
fis-85	54	42	can	can	AUX
fis-85	54	43	not	not	PART
fis-85	54	44	open	open	VERB
fis-85	54	45	up	up	ADP
fis-85	54	46	in	in	ADP
fis-85	54	47	any	any	DET
fis-85	54	48	“	"	PUNCT
fis-85	54	49	nearby	nearby	ADJ
fis-85	54	50	”	"	PUNCT
fis-85	54	51	optimal	optimal	ADJ
fis-85	54	52	direction	direction	NOUN
fis-85	54	53	without	without	ADP
fis-85	54	54	having	have	VERB
fis-85	54	55	the	the	DET
fis-85	54	56	energy	energy	NOUN
fis-85	54	57	to	to	PART
fis-85	54	58	increase	increase	VERB
fis-85	54	59	somewhere	somewhere	ADV
fis-85	54	60	.	.	PUNCT
fis-85	55	1	a	a	DET
fis-85	55	2	way	way	NOUN
fis-85	55	3	out	out	ADV
fis-85	55	4	to	to	PART
fis-85	55	5	restore	restore	VERB
fis-85	55	6	physical	physical	ADJ
fis-85	55	7	plausibility	plausibility	NOUN
fis-85	55	8	is	be	AUX
fis-85	55	9	to	to	PART
fis-85	55	10	assume	assume	VERB
fis-85	55	11	that	that	SCONJ
fis-85	55	12	the	the	DET
fis-85	55	13	system	system	NOUN
fis-85	55	14	can	can	AUX
fis-85	55	15	overcome	overcome	VERB
fis-85	55	16	“	"	PUNCT
fis-85	55	17	small	small	ADJ
fis-85	55	18	”	"	PUNCT
fis-85	55	19	energy	energy	NOUN
fis-85	55	20	barriers	barrier	NOUN
fis-85	55	21	,	,	PUNCT
fis-85	55	22	where	where	SCONJ
fis-85	55	23	the	the	DET
fis-85	55	24	term	term	NOUN
fis-85	55	25	“	"	PUNCT
fis-85	55	26	small	small	ADJ
fis-85	55	27	”	"	PUNCT
fis-85	55	28	refers	refer	VERB
fis-85	55	29	both	both	PRON
fis-85	55	30	to	to	ADP
fis-85	55	31	the	the	DET
fis-85	55	32	amount	amount	NOUN
fis-85	55	33	of	of	ADP
fis-85	55	34	the	the	DET
fis-85	55	35	energy	energy	NOUN
fis-85	55	36	increase	increase	NOUN
fis-85	55	37	before	before	SCONJ
fis-85	55	38	the	the	DET
fis-85	55	39	descent	descent	NOUN
fis-85	55	40	begins	begin	VERB
fis-85	55	41	and	and	CCONJ
fis-85	55	42	to	to	ADP
fis-85	55	43	the	the	DET
fis-85	55	44	length	length	NOUN
fis-85	55	45	of	of	ADP
fis-85	55	46	the	the	DET
fis-85	55	47	path	path	NOUN
fis-85	55	48	leading	lead	VERB
fis-85	55	49	to	to	ADP
fis-85	55	50	the	the	DET
fis-85	55	51	point	point	NOUN
fis-85	55	52	of	of	ADP
fis-85	55	53	descent	descent	NOUN
fis-85	55	54	.	.	PUNCT
fis-85	56	1	such	such	DET
fis-85	56	2	a	a	DET
fis-85	56	3	“	"	PUNCT
fis-85	56	4	smallness	smallness	NOUN
fis-85	56	5	”	"	PUNCT
fis-85	56	6	could	could	AUX
fis-85	56	7	be	be	AUX
fis-85	56	8	measured	measure	VERB
fis-85	56	9	by	by	ADP
fis-85	56	10	introducing	introduce	VERB
fis-85	56	11	a	a	DET
fis-85	56	12	convenient	convenient	ADJ
fis-85	56	13	barrier	barrier	NOUN
fis-85	56	14	-	-	PUNCT
fis-85	56	15	norm	norm	NOUN
fis-85	56	16	to	to	PART
fis-85	56	17	be	be	AUX
fis-85	56	18	compared	compare	VERB
fis-85	56	19	with	with	ADP
fis-85	56	20	a	a	DET
fis-85	56	21	given	give	VERB
fis-85	56	22	threshold	threshold	NOUN
fis-85	56	23	specific	specific	ADJ
fis-85	56	24	of	of	ADP
fis-85	56	25	the	the	DET
fis-85	56	26	material	material	NOUN
fis-85	56	27	considered	consider	VERB
fis-85	56	28	.	.	PUNCT
fis-85	57	1	since	since	SCONJ
fis-85	57	2	an	an	DET
fis-85	57	3	increase	increase	NOUN
fis-85	57	4	in	in	ADP
fis-85	57	5	energy	energy	NOUN
fis-85	57	6	always	always	ADV
fis-85	57	7	requires	require	VERB
fis-85	57	8	the	the	DET
fis-85	57	9	work	work	NOUN
fis-85	57	10	of	of	ADP
fis-85	57	11	external	external	ADJ
fis-85	57	12	active	active	ADJ
fis-85	57	13	forces	force	NOUN
fis-85	57	14	,	,	PUNCT
fis-85	57	15	these	these	DET
fis-85	57	16	energy	energy	NOUN
fis-85	57	17	jumps	jump	VERB
fis-85	57	18	should	should	AUX
fis-85	57	19	be	be	AUX
fis-85	57	20	actually	actually	ADV
fis-85	57	21	forbidden	forbid	VERB
fis-85	57	22	in	in	ADP
fis-85	57	23	a	a	DET
fis-85	57	24	quasi	quasi	ADJ
fis-85	57	25	-	-	ADJ
fis-85	57	26	static	static	ADJ
fis-85	57	27	evolution	evolution	NOUN
fis-85	57	28	and	and	CCONJ
fis-85	57	29	can	can	AUX
fis-85	57	30	be	be	AUX
fis-85	57	31	justified	justify	VERB
fis-85	57	32	only	only	ADV
fis-85	57	33	admitting	admit	VERB
fis-85	57	34	the	the	DET
fis-85	57	35	presence	presence	NOUN
fis-85	57	36	of	of	ADP
fis-85	57	37	finite	finite	ADJ
fis-85	57	38	disturbances	disturbance	NOUN
fis-85	57	39	in	in	ADP
fis-85	57	40	the	the	DET
fis-85	57	41	geometry	geometry	NOUN
fis-85	57	42	and	and	CCONJ
fis-85	57	43	in	in	ADP
fis-85	57	44	the	the	DET
fis-85	57	45	data	datum	NOUN
fis-85	57	46	.	.	PUNCT
fis-85	58	1	analytical	analytical	ADJ
fis-85	58	2	and	and	CCONJ
fis-85	58	3	numerical	numerical	ADJ
fis-85	58	4	formulation	formulation	NOUN
fis-85	58	5	of	of	ADP
fis-85	58	6	the	the	DET
fis-85	58	7	problem	problem	NOUN
fis-85	58	8	ur	ur	INTJ
fis-85	58	9	approach	approach	NOUN
fis-85	58	10	is	be	AUX
fis-85	58	11	reported	report	VERB
fis-85	58	12	in	in	ADP
fis-85	58	13	details	detail	NOUN
fis-85	58	14	in	in	ADP
fis-85	58	15	[	[	X
fis-85	58	16	2	2	NUM
fis-85	58	17	]	]	PUNCT
fis-85	58	18	and	and	CCONJ
fis-85	58	19	it	it	PRON
fis-85	58	20	will	will	AUX
fis-85	58	21	be	be	AUX
fis-85	58	22	briefly	briefly	ADV
fis-85	58	23	summarized	summarize	VERB
fis-85	58	24	for	for	ADP
fis-85	58	25	the	the	DET
fis-85	58	26	reader	reader	NOUN
fis-85	58	27	’s	’s	PART
fis-85	58	28	convenience	convenience	NOUN
fis-85	58	29	.	.	PUNCT
fis-85	59	1	preliminaries	preliminary	NOUN
fis-85	59	2	consider	consider	VERB
fis-85	59	3	a	a	DET
fis-85	59	4	two	two	NUM
fis-85	59	5	–	–	PUNCT
fis-85	59	6	dimensional	dimensional	ADJ
fis-85	59	7	body	body	NOUN
fis-85	59	8	b	b	NOUN
fis-85	59	9	occupying	occupy	VERB
fis-85	59	10	in	in	ADP
fis-85	59	11	the	the	DET
fis-85	59	12	original	original	ADJ
fis-85	59	13	configuration	configuration	NOUN
fis-85	59	14	a	a	DET
fis-85	59	15	bounded	bounded	ADJ
fis-85	59	16	plane	plane	NOUN
fis-85	59	17	domain	domain	NOUN
fis-85	59	18			PROPN
fis-85	59	19	and	and	CCONJ
fis-85	59	20	undergoing	undergo	VERB
fis-85	59	21	small	small	ADJ
fis-85	59	22	deformations	deformation	NOUN
fis-85	59	23	.	.	PUNCT
fis-85	60	1	let	let	VERB
fis-85	60	2			PROPN
fis-85	60	3	be	be	AUX
fis-85	60	4	the	the	DET
fis-85	60	5	infinitesimal	infinitesimal	ADJ
fis-85	60	6	strain	strain	NOUN
fis-85	60	7	tensor	tensor	NOUN
fis-85	60	8	and	and	CCONJ
fis-85	60	9	u	u	PRON
fis-85	60	10	the	the	DET
fis-85	60	11	displacement	displacement	ADJ
fis-85	60	12	field	field	NOUN
fis-85	60	13	defined	define	VERB
fis-85	60	14	over	over	ADP
fis-85	60	15	.	.	PUNCT
fis-85	60	16	the	the	DET
fis-85	60	17	boundary	boundary	NOUN
fis-85	60	18	of	of	ADP
fis-85	60	19	is	is	NOUN
fis-85	60	20	partitioned	partition	VERB
fis-85	60	21	into	into	ADP
fis-85	60	22	two	two	NUM
fis-85	60	23	parts	part	NOUN
fis-85	60	24	where	where	SCONJ
fis-85	60	25	displacements	displacement	NOUN
fis-85	60	26	u	u	NOUN
fis-85	60	27	and	and	CCONJ
fis-85	60	28	tractions	traction	NOUN
fis-85	60	29	p	p	NOUN
fis-85	60	30	are	be	AUX
fis-85	60	31	given	give	VERB
fis-85	60	32	.	.	PUNCT
fis-85	61	1	we	we	PRON
fis-85	61	2	admit	admit	VERB
fis-85	61	3	that	that	SCONJ
fis-85	61	4	u	u	PRON
fis-85	61	5	may	may	AUX
fis-85	61	6	be	be	AUX
fis-85	61	7	discontinuous	discontinuous	ADJ
fis-85	61	8	on	on	ADP
fis-85	61	9	a	a	DET
fis-85	61	10	set	set	NOUN
fis-85	61	11			NOUN
fis-85	61	12	assumed	assume	VERB
fis-85	61	13	to	to	PART
fis-85	61	14	belong	belong	VERB
fis-85	61	15	to	to	ADP
fis-85	61	16	an	an	DET
fis-85	61	17	admissible	admissible	ADJ
fis-85	61	18	set	set	NOUN
fis-85	61	19	of	of	ADP
fis-85	61	20	cracks	crack	NOUN
fis-85	61	21	s(	s(	PROPN
fis-85	61	22	)	)	PUNCT
fis-85	61	23	.	.	PUNCT
fis-85	62	1	the	the	DET
fis-85	62	2	crack	crack	NOUN
fis-85	62	3	pattern	pattern	NOUN
fis-85	62	4	is	is	PUNCT
fis-85	62	5	the	the	DET
fis-85	62	6	most	most	ADV
fis-85	62	7	relevant	relevant	ADJ
fis-85	62	8	unknown	unknown	NOUN
fis-85	62	9	in	in	ADP
fis-85	62	10	variational	variational	ADJ
fis-85	62	11	fracture	fracture	NOUN
fis-85	62	12	problems	problem	NOUN
fis-85	62	13	and	and	CCONJ
fis-85	62	14	the	the	DET
fis-85	62	15	theorems	theorem	NOUN
fis-85	62	16	of	of	ADP
fis-85	62	17	ambrosio	ambrosio	NOUN
fis-85	62	18	[	[	X
fis-85	62	19	12	12	NUM
fis-85	62	20	]	]	PUNCT
fis-85	62	21	,	,	PUNCT
fis-85	62	22	valid	valid	ADJ
fis-85	62	23	in	in	ADP
fis-85	62	24	particular	particular	ADJ
fis-85	62	25	for	for	ADP
fis-85	62	26	griffith	griffith	PROPN
fis-85	62	27	’s	’s	PART
fis-85	62	28	type	type	NOUN
fis-85	62	29	variational	variational	ADJ
fis-85	62	30	formulations	formulation	NOUN
fis-85	62	31	based	base	VERB
fis-85	62	32	on	on	ADP
fis-85	62	33	global	global	ADJ
fis-85	62	34	minimizers	minimizer	NOUN
fis-85	62	35	,	,	PUNCT
fis-85	62	36	ensure	ensure	VERB
fis-85	62	37	that	that	SCONJ
fis-85	62	38			VERB
fis-85	62	39	is	be	AUX
fis-85	62	40	sufficiently	sufficiently	ADV
fis-85	62	41	regular	regular	ADJ
fis-85	62	42	to	to	PART
fis-85	62	43	be	be	AUX
fis-85	62	44	approximated	approximate	VERB
fis-85	62	45	by	by	ADP
fis-85	62	46	sets	set	NOUN
fis-85	62	47	composed	compose	VERB
fis-85	62	48	by	by	ADP
fis-85	62	49	regular	regular	ADJ
fis-85	62	50	arcs	arc	NOUN
fis-85	62	51	,	,	PUNCT
fis-85	62	52	such	such	ADJ
fis-85	62	53	as	as	ADP
fis-85	62	54	line	line	NOUN
fis-85	62	55	elements	element	NOUN
fis-85	62	56	.	.	PUNCT
fis-85	63	1	therefore	therefore	ADV
fis-85	63	2			VERB
fis-85	63	3	is	be	AUX
fis-85	63	4	a	a	DET
fis-85	63	5	1d	1d	NUM
fis-85	63	6	closed	close	VERB
fis-85	63	7	set	set	VERB
fis-85	63	8	and	and	CCONJ
fis-85	63	9	the	the	DET
fis-85	63	10	unit	unit	NOUN
fis-85	63	11	normal	normal	ADJ
fis-85	63	12	n	n	NOUN
fis-85	63	13	and	and	CCONJ
fis-85	63	14	tangent	tangent	NOUN
fis-85	63	15	t	t	PROPN
fis-85	63	16	exist	exist	VERB
fis-85	63	17	a.e	a.e	PROPN
fis-85	63	18	.	.	PROPN
fis-85	63	19	along	along	ADP
fis-85	63	20	it	it	PRON
fis-85	63	21	.	.	PUNCT
fis-85	64	1	the	the	DET
fis-85	64	2	jump	jump	NOUN
fis-85	64	3	of	of	ADP
fis-85	64	4	u	u	NOUN
fis-85	64	5	across	across	ADP
fis-85	64	6			PROPN
fis-85	64	7	,	,	PUNCT
fis-85	64	8	denoted	denote	VERB
fis-85	64	9	[	[	X
fis-85	64	10	[	[	X
fis-85	64	11	u	u	X
fis-85	64	12	]	]	X
fis-85	64	13	]	]	X
fis-85	64	14	=	=	SYM
fis-85	65	1	u+−u-	u+−u-	PROPN
fis-85	65	2	,	,	PUNCT
fis-85	65	3	is	be	AUX
fis-85	65	4	resolved	resolve	VERB
fis-85	65	5	into	into	ADP
fis-85	65	6	two	two	NUM
fis-85	65	7	components	component	NOUN
fis-85	65	8	relative	relative	ADJ
fis-85	65	9	to	to	ADP
fis-85	65	10	n	n	CCONJ
fis-85	65	11	,	,	PUNCT
fis-85	65	12	t	t	X
fis-85	66	1	[	[	X
fis-85	66	2	[	[	X
fis-85	66	3	u	u	X
fis-85	66	4	]	]	X
fis-85	66	5	]	]	X
fis-85	66	6	=	=	SYM
fis-85	67	1	an	an	PRON
fis-85	67	2	+	+	X
fis-85	67	3	bt	bt	NOUN
fis-85	67	4	(	(	PUNCT
fis-85	67	5	1	1	NUM
fis-85	67	6	)	)	PUNCT
fis-85	67	7	if	if	SCONJ
fis-85	67	8	a	a	PRON
fis-85	67	9	is	be	AUX
fis-85	67	10	positive	positive	ADJ
fis-85	67	11	the	the	DET
fis-85	67	12	corresponding	corresponding	ADJ
fis-85	67	13	points	point	NOUN
fis-85	67	14	on	on	ADP
fis-85	67	15	the	the	DET
fis-85	67	16	two	two	NUM
fis-85	67	17	opposite	opposite	ADJ
fis-85	67	18	sides	side	NOUN
fis-85	67	19	of	of	ADP
fis-85	67	20	the	the	DET
fis-85	67	21	interface	interface	NOUN
fis-85	67	22			VERB
fis-85	67	23	separate	separate	ADJ
fis-85	67	24	and	and	CCONJ
fis-85	67	25	determine	determine	VERB
fis-85	67	26	a	a	DET
fis-85	67	27	vacancy	vacancy	NOUN
fis-85	67	28	.	.	PUNCT
fis-85	68	1	finally	finally	ADV
fis-85	68	2	we	we	PRON
fis-85	68	3	assume	assume	VERB
fis-85	68	4	that	that	SCONJ
fis-85	68	5	u	u	PRON
fis-85	68	6	belongs	belong	VERB
fis-85	68	7	to	to	ADP
fis-85	68	8	h1(\	h1(\	PROPN
fis-85	68	9	)	)	PUNCT
fis-85	68	10	,	,	PUNCT
fis-85	68	11	that	that	PRON
fis-85	68	12	is	is	ADV
fis-85	68	13	u	u	NOUN
fis-85	68	14	has	have	VERB
fis-85	68	15	the	the	DET
fis-85	68	16	regularity	regularity	NOUN
fis-85	68	17	required	require	VERB
fis-85	68	18	in	in	ADP
fis-85	68	19	linear	linear	PROPN
fis-85	68	20	elasticity	elasticity	NOUN
fis-85	68	21	away	away	ADV
fis-85	68	22	from	from	ADP
fis-85	68	23	.	.	ADJ
fis-85	68	24	volume	volume	NOUN
fis-85	68	25	and	and	CCONJ
fis-85	68	26	surface	surface	NOUN
fis-85	68	27	energy	energy	NOUN
fis-85	68	28	densities	density	NOUN
fis-85	68	29	the	the	DET
fis-85	68	30	material	material	NOUN
fis-85	68	31	is	be	AUX
fis-85	68	32	assumed	assume	VERB
fis-85	68	33	to	to	PART
fis-85	68	34	be	be	AUX
fis-85	68	35	elastic	elastic	ADJ
fis-85	68	36	and	and	CCONJ
fis-85	68	37	isotropic	isotropic	NOUN
fis-85	68	38	,	,	PUNCT
fis-85	68	39	that	that	PRON
fis-85	68	40	is	be	AUX
fis-85	68	41	characterized	characterize	VERB
fis-85	68	42	by	by	ADP
fis-85	68	43	the	the	DET
fis-85	68	44	elastic	elastic	ADJ
fis-85	68	45	energy	energy	NOUN
fis-85	68	46	density	density	NOUN
fis-85	68	47	)	)	PUNCT
fis-85	68	48	2	2	NUM
fis-85	68	49	)	)	PUNCT
fis-85	68	50	(	(	PUNCT
fis-85	68	51	*	*	NOUN
fis-85	68	52	(	(	PUNCT
fis-85	68	53	2	2	NUM
fis-85	68	54	1	1	NUM
fis-85	68	55	)	)	PUNCT
fis-85	68	56	(	(	PUNCT
fis-85	68	57	2	2	NUM
fis-85	68	58			PROPN
fis-85	68	59			PROPN
fis-85	68	60	tr	tr	VERB
fis-85	68	61	(	(	PUNCT
fis-85	68	62	2	2	NUM
fis-85	68	63	)	)	PUNCT
fis-85	68	64	a	a	DET
fis-85	68	65	scalar	scalar	ADJ
fis-85	68	66	field	field	NOUN
fis-85	68	67	defined	define	VERB
fis-85	68	68	over	over	ADP
fis-85	68	69	\.	\.	PUNCT
fis-85	68	70	in	in	ADP
fis-85	68	71	(	(	PUNCT
fis-85	68	72	2	2	NUM
fis-85	68	73	)	)	PUNCT
fis-85	68	74			NOUN
fis-85	68	75	and	and	CCONJ
fis-85	68	76			NOUN
fis-85	68	77	are	be	AUX
fis-85	68	78	the	the	DET
fis-85	68	79	elastic	elastic	ADJ
fis-85	68	80	moduli	modulus	NOUN
fis-85	68	81	for	for	ADP
fis-85	68	82	generalized	generalized	ADJ
fis-85	68	83	plane	plane	NOUN
fis-85	68	84	stress	stress	NOUN
fis-85	68	85	.	.	PUNCT
fis-85	69	1	to	to	PART
fis-85	69	2	model	model	VERB
fis-85	69	3	brittle	brittle	ADJ
fis-85	69	4	fracture	fracture	NOUN
fis-85	69	5	,	,	PUNCT
fis-85	69	6	we	we	PRON
fis-85	69	7	introduce	introduce	VERB
fis-85	69	8	on	on	ADP
fis-85	69	9			PUNCT
fis-85	69	10	the	the	DET
fis-85	69	11	interface	interface	NOUN
fis-85	69	12	energy	energy	NOUN
fis-85	69	13	density	density	NOUN
fis-85	69	14	0	0	NUM
fis-85	69	15	,	,	PUNCT
fis-85	69	16	0	0	NUM
fis-85	69	17	,	,	PUNCT
fis-85	69	18	0	0	NUM
fis-85	69	19	(	(	PUNCT
fis-85	69	20	,	,	PUNCT
fis-85	69	21	)	)	PUNCT
fis-85	69	22	,	,	PUNCT
fis-85	69	23	0	0	NUM
fis-85	69	24	,	,	PUNCT
fis-85	69	25	0	0	NUM
fis-85	69	26	0	0	NUM
fis-85	69	27	&	&	CCONJ
fis-85	69	28	0	0	NUM
fis-85	70	1	c	c	PROPN
fis-85	70	2	a	a	DET
fis-85	70	3	b	b	NOUN
fis-85	70	4	a	a	DET
fis-85	70	5	b	b	NOUN
fis-85	70	6	g	g	ADP
fis-85	70	7	a	a	DET
fis-85	70	8	a	a	NOUN
fis-85	70	9	or	or	CCONJ
fis-85	70	10	a	a	DET
fis-85	70	11	b	b	NOUN
fis-85	70	12			NOUN
fis-85	70	13			PROPN
fis-85	70	14			NOUN
fis-85	70	15			PROPN
fis-85	70	16			PROPN
fis-85	70	17			PRON
fis-85	70	18			PROPN
fis-85	70	19			NUM
fis-85	71	1			VERB
fis-85	71	2	(	(	PUNCT
fis-85	71	3	3	3	NUM
fis-85	71	4	)	)	PUNCT
fis-85	71	5	where	where	SCONJ
fis-85	71	6	gc	gc	PROPN
fis-85	71	7	is	be	AUX
fis-85	71	8	the	the	DET
fis-85	71	9	thoughness	thoughness	NOUN
fis-85	71	10	of	of	ADP
fis-85	71	11	the	the	DET
fis-85	71	12	material	material	NOUN
fis-85	71	13	and	and	CCONJ
fis-85	71	14	a	a	DET
fis-85	71	15	,	,	PUNCT
fis-85	71	16	b	b	NOUN
fis-85	71	17	are	be	AUX
fis-85	71	18	the	the	DET
fis-85	71	19	components	component	NOUN
fis-85	71	20	of	of	ADP
fis-85	71	21	the	the	DET
fis-85	71	22	displacement	displacement	NOUN
fis-85	71	23	jump	jump	NOUN
fis-85	71	24	along	along	ADP
fis-85	71	25	.	.	VERB
fis-85	71	26	typical	typical	ADJ
fis-85	71	27	boundary	boundary	ADJ
fis-85	71	28	value	value	NOUN
fis-85	71	29	problems	problem	NOUN
fis-85	71	30	we	we	PRON
fis-85	71	31	consider	consider	VERB
fis-85	71	32	quasi	quasi	NOUN
fis-85	71	33	–	–	PUNCT
fis-85	71	34	static	static	ADJ
fis-85	71	35	bvp	bvp	PROPN
fis-85	71	36	’s	’s	PART
fis-85	71	37	.	.	PUNCT
fis-85	72	1	a	a	DET
fis-85	72	2	typical	typical	ADJ
fis-85	72	3	example	example	NOUN
fis-85	72	4	is	be	AUX
fis-85	72	5	represented	represent	VERB
fis-85	72	6	by	by	ADP
fis-85	72	7	the	the	DET
fis-85	72	8	plane	plane	NOUN
fis-85	72	9	strip	strip	NOUN
fis-85	72	10	of	of	ADP
fis-85	72	11	height	height	NOUN
fis-85	72	12	h	h	NOUN
fis-85	72	13	and	and	CCONJ
fis-85	72	14	width	width	ADJ
fis-85	72	15	b	b	NOUN
fis-85	72	16	shown	show	VERB
fis-85	72	17	in	in	ADP
fis-85	72	18	fig	fig	NOUN
fis-85	72	19	.	.	PUNCT
fis-85	73	1	1	1	NUM
fis-85	73	2	to	to	PART
fis-85	73	3	which	which	PRON
fis-85	73	4	we	we	PRON
fis-85	73	5	refer	refer	VERB
fis-85	73	6	for	for	ADP
fis-85	73	7	notations	notation	NOUN
fis-85	73	8	.	.	PUNCT
fis-85	74	1	on	on	ADP
fis-85	74	2	the	the	DET
fis-85	74	3	lateral	lateral	ADJ
fis-85	74	4	sides	side	NOUN
fis-85	74	5	of	of	ADP
fis-85	74	6	the	the	DET
fis-85	74	7	rectangle	rectangle	NOUN
fis-85	74	8	the	the	DET
fis-85	74	9	traction	traction	NOUN
fis-85	74	10	condition	condition	NOUN
fis-85	74	11	p	p	NOUN
fis-85	74	12	=	=	NOUN
fis-85	74	13	0	0	NUM
fis-85	74	14	is	be	AUX
fis-85	74	15	enforced	enforce	VERB
fis-85	74	16	and	and	CCONJ
fis-85	74	17	on	on	ADP
fis-85	74	18	the	the	DET
fis-85	74	19	bases	basis	NOUN
fis-85	74	20	a	a	DET
fis-85	74	21	combination	combination	NOUN
fis-85	74	22	of	of	ADP
fis-85	74	23	relative	relative	ADJ
fis-85	74	24	displacements	displacement	NOUN
fis-85	74	25	u	u	NOUN
fis-85	74	26	is	be	AUX
fis-85	74	27	given	give	VERB
fis-85	74	28	.	.	PUNCT
fis-85	75	1	we	we	PRON
fis-85	75	2	assume	assume	VERB
fis-85	75	3	u	u	PRON
fis-85	75	4	to	to	PART
fis-85	75	5	be	be	AUX
fis-85	75	6	time	time	NOUN
fis-85	75	7	dependent	dependent	ADJ
fis-85	75	8	.	.	PUNCT
fis-85	76	1	at	at	ADP
fis-85	76	2	any	any	DET
fis-85	76	3	time	time	NOUN
fis-85	76	4	t	t	NOUN
fis-85	76	5	of	of	ADP
fis-85	76	6	the	the	DET
fis-85	76	7	loading	loading	NOUN
fis-85	76	8	process	process	NOUN
fis-85	76	9	we	we	PRON
fis-85	76	10	seek	seek	VERB
fis-85	76	11	equilibrium	equilibrium	NOUN
fis-85	76	12	states	state	NOUN
fis-85	76	13	of	of	ADP
fis-85	76	14	the	the	DET
fis-85	76	15	strip	strip	NOUN
fis-85	76	16	as	as	ADP
fis-85	76	17	points	point	NOUN
fis-85	76	18	of	of	ADP
fis-85	76	19	local	local	ADJ
fis-85	76	20	minima	minima	NOUN
fis-85	76	21	of	of	ADP
fis-85	76	22	the	the	DET
fis-85	76	23	functional	functional	ADJ
fis-85	76	24	o	o	PROPN
fis-85	76	25	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PRON
fis-85	76	26	http://www.gruppofrattura.it	http://www.gruppofrattura.it	NOUN
fis-85	76	27	m.	m.	NOUN
fis-85	76	28	angelillo	angelillo	VERB
fis-85	76	29	et	et	PROPN
fis-85	76	30	alii	alii	PROPN
fis-85	76	31	,	,	PUNCT
fis-85	76	32	frattura	frattura	PROPN
fis-85	76	33	ed	ed	PROPN
fis-85	76	34	integrità	integrità	PROPN
fis-85	76	35	strutturale	strutturale	PROPN
fis-85	76	36	,	,	PUNCT
fis-85	76	37	12	12	NUM
fis-85	76	38	(	(	PUNCT
fis-85	76	39	2010	2010	NUM
fis-85	76	40	)	)	PUNCT
fis-85	76	41	63	63	NUM
fis-85	76	42	-	-	SYM
fis-85	76	43	78	78	NUM
fis-85	76	44	;	;	PUNCT
fis-85	76	45	doi	doi	NOUN
fis-85	76	46	:	:	PUNCT
fis-85	76	47	10.3221	10.3221	NUM
fis-85	76	48	/	/	SYM
fis-85	76	49	igf	igf	PROPN
fis-85	76	50	-	-	ADJ
fis-85	76	51	esis.12.07	esis.12.07	PROPN
fis-85	76	52	66	66	NUM
fis-85	76	53			NOUN
fis-85	76	54			PUNCT
fis-85	77	1			ADV
fis-85	77	2			PUNCT
fis-85	77	3			NOUN
fis-85	77	4	\	\	PROPN
fis-85	77	5	]	]	X
fis-85	77	6	]	]	X
fis-85	77	7	u([[)()u,(e	u([[)()u,(e	ADJ
fis-85	77	8	dsda	dsda	NOUN
fis-85	77	9			NUM
fis-85	77	10	(	(	PUNCT
fis-85	77	11	4	4	NUM
fis-85	77	12	)	)	PUNCT
fis-85	77	13	under	under	ADP
fis-85	77	14	the	the	DET
fis-85	77	15	boundary	boundary	ADJ
fis-85	77	16	conditions	condition	NOUN
fis-85	77	17	described	describe	VERB
fis-85	77	18	above	above	ADV
fis-85	77	19	.	.	PUNCT
fis-85	78	1	space	space	NOUN
fis-85	78	2	discretization	discretization	NOUN
fis-85	78	3	to	to	PART
fis-85	78	4	discretize	discretize	VERB
fis-85	78	5	the	the	DET
fis-85	78	6	problem	problem	NOUN
fis-85	78	7	we	we	PRON
fis-85	78	8	split	split	VERB
fis-85	78	9	the	the	DET
fis-85	78	10	domain	domain	NOUN
fis-85	78	11	into	into	ADP
fis-85	78	12	triangles	triangle	NOUN
fis-85	78	13	,	,	PUNCT
fis-85	78	14	as	as	SCONJ
fis-85	78	15	shown	show	VERB
fis-85	78	16	in	in	ADP
fis-85	78	17	fig	fig	NOUN
fis-85	78	18	.	.	PUNCT
fis-85	79	1	1	1	NUM
fis-85	79	2	,	,	PUNCT
fis-85	80	1	and	and	CCONJ
fis-85	80	2	identify	identify	VERB
fis-85	80	3			VERB
fis-85	80	4	with	with	ADP
fis-85	80	5	the	the	DET
fis-85	80	6	part	part	NOUN
fis-85	80	7	of	of	ADP
fis-85	80	8	the	the	DET
fis-85	80	9	skeleton	skeleton	NOUN
fis-85	80	10	of	of	ADP
fis-85	80	11	the	the	DET
fis-85	80	12	triangulation	triangulation	NOUN
fis-85	80	13	that	that	PRON
fis-85	80	14	is	be	AUX
fis-85	80	15	not	not	PART
fis-85	80	16	at	at	ADP
fis-85	80	17	the	the	DET
fis-85	80	18	boundary	boundary	NOUN
fis-85	80	19	of	of	ADP
fis-85	80	20	.	.	PUNCT
fis-85	80	21	in	in	ADP
fis-85	80	22	order	order	NOUN
fis-85	80	23	to	to	PART
fis-85	80	24	duplicate	duplicate	VERB
fis-85	80	25	nodes	node	NOUN
fis-85	80	26	and	and	CCONJ
fis-85	80	27	edges	edge	NOUN
fis-85	80	28	of	of	ADP
fis-85	80	29	the	the	DET
fis-85	80	30	skeleton	skeleton	NOUN
fis-85	80	31	of	of	ADP
fis-85	80	32	the	the	DET
fis-85	80	33	mesh	mesh	NOUN
fis-85	80	34	,	,	PUNCT
fis-85	80	35	we	we	PRON
fis-85	80	36	introduce	introduce	VERB
fis-85	80	37	special	special	ADJ
fis-85	80	38	interface	interface	NOUN
fis-85	80	39	elements	element	NOUN
fis-85	80	40	with	with	ADP
fis-85	80	41	zero	zero	NUM
fis-85	80	42	thickness	thickness	NOUN
fis-85	80	43	placed	place	VERB
fis-85	80	44	along	along	ADP
fis-85	80	45	the	the	DET
fis-85	80	46	edges	edge	NOUN
fis-85	80	47	of	of	ADP
fis-85	80	48	the	the	DET
fis-85	80	49	continuous	continuous	ADJ
fis-85	80	50	elements	element	NOUN
fis-85	80	51	.	.	PUNCT
fis-85	81	1	a	a	DET
fis-85	81	2	topological	topological	ADJ
fis-85	81	3	view	view	NOUN
fis-85	81	4	of	of	ADP
fis-85	81	5	these	these	DET
fis-85	81	6	elements	element	NOUN
fis-85	81	7	is	be	AUX
fis-85	81	8	depicted	depict	VERB
fis-85	81	9	in	in	ADP
fis-85	81	10	fig	fig	NOUN
fis-85	81	11	.	.	PUNCT
fis-85	82	1	13a	13a	PROPN
fis-85	82	2	for	for	ADP
fis-85	82	3	a	a	DET
fis-85	82	4	plane	plane	NOUN
fis-85	82	5	strip	strip	NOUN
fis-85	82	6	.	.	PUNCT
fis-85	83	1	figure	figure	VERB
fis-85	83	2	1	1	NUM
fis-85	83	3	:	:	PUNCT
fis-85	83	4	typical	typical	ADJ
fis-85	83	5	bvp	bvp	NOUN
fis-85	83	6	:	:	PUNCT
fis-85	83	7	strip	strip	VERB
fis-85	83	8	with	with	ADP
fis-85	83	9	a	a	DET
fis-85	83	10	straight	straight	ADJ
fis-85	83	11	crack	crack	NOUN
fis-85	83	12	in	in	ADP
fis-85	83	13	“	"	PUNCT
fis-85	83	14	mixed	mixed	ADJ
fis-85	83	15	”	"	PUNCT
fis-85	83	16	mode	mode	NOUN
fis-85	83	17	.	.	PUNCT
fis-85	84	1	in	in	ADP
fis-85	84	2	order	order	NOUN
fis-85	84	3	to	to	PART
fis-85	84	4	give	give	VERB
fis-85	84	5	to	to	ADP
fis-85	84	6	the	the	DET
fis-85	84	7	skeleton	skeleton	NOUN
fis-85	84	8	the	the	DET
fis-85	84	9	ability	ability	NOUN
fis-85	84	10	to	to	PART
fis-85	84	11	choose	choose	VERB
fis-85	84	12	optimal	optimal	ADJ
fis-85	84	13	crack	crack	NOUN
fis-85	84	14	paths	path	NOUN
fis-85	84	15	,	,	PUNCT
fis-85	84	16	the	the	DET
fis-85	84	17	positions	position	NOUN
fis-85	84	18	of	of	ADP
fis-85	84	19	the	the	DET
fis-85	84	20	nodes	node	NOUN
fis-85	84	21	of	of	ADP
fis-85	84	22	the	the	DET
fis-85	84	23	triangulation	triangulation	NOUN
fis-85	84	24	in	in	ADP
fis-85	84	25	the	the	DET
fis-85	84	26	reference	reference	NOUN
fis-85	84	27	configuration	configuration	NOUN
fis-85	84	28			PROPN
fis-85	84	29	,	,	PUNCT
fis-85	84	30	are	be	AUX
fis-85	84	31	taken	take	VERB
fis-85	84	32	as	as	ADP
fis-85	84	33	further	further	ADJ
fis-85	84	34	variables	variable	NOUN
fis-85	84	35	and	and	CCONJ
fis-85	84	36	can	can	AUX
fis-85	84	37	be	be	AUX
fis-85	84	38	moved	move	VERB
fis-85	84	39	to	to	PART
fis-85	84	40	minimize	minimize	VERB
fis-85	84	41	the	the	DET
fis-85	84	42	total	total	ADJ
fis-85	84	43	energy	energy	NOUN
fis-85	84	44	.	.	PUNCT
fis-85	85	1	approximate	approximate	ADJ
fis-85	85	2	interface	interface	PROPN
fis-85	85	3	(	(	PUNCT
fis-85	85	4	surface	surface	NOUN
fis-85	85	5	)	)	PUNCT
fis-85	85	6	energy	energy	NOUN
fis-85	85	7	density	density	NOUN
fis-85	85	8	in	in	ADP
fis-85	85	9	the	the	DET
fis-85	85	10	numerical	numerical	ADJ
fis-85	85	11	applications	application	NOUN
fis-85	85	12	we	we	PRON
fis-85	85	13	approximate	approximate	VERB
fis-85	85	14	the	the	DET
fis-85	85	15	equilibrium	equilibrium	NOUN
fis-85	85	16	trajectory	trajectory	NOUN
fis-85	85	17	of	of	ADP
fis-85	85	18	the	the	DET
fis-85	85	19	system	system	NOUN
fis-85	85	20	by	by	ADP
fis-85	85	21	considering	consider	VERB
fis-85	85	22	crack	crack	NOUN
fis-85	85	23	propagation	propagation	NOUN
fis-85	85	24	as	as	ADP
fis-85	85	25	based	base	VERB
fis-85	85	26	on	on	ADP
fis-85	85	27	critical	critical	ADJ
fis-85	85	28	points	point	NOUN
fis-85	85	29	of	of	ADP
fis-85	85	30	the	the	DET
fis-85	85	31	energy	energy	NOUN
fis-85	85	32	.	.	PUNCT
fis-85	86	1	to	to	PART
fis-85	86	2	get	get	VERB
fis-85	86	3	out	out	ADP
fis-85	86	4	of	of	ADP
fis-85	86	5	possible	possible	ADJ
fis-85	86	6	small	small	ADJ
fis-85	86	7	energy	energy	NOUN
fis-85	86	8	wells	well	NOUN
fis-85	86	9	,	,	PUNCT
fis-85	86	10	either	either	CCONJ
fis-85	86	11	numerical	numerical	ADJ
fis-85	86	12	(	(	PUNCT
fis-85	86	13	due	due	ADP
fis-85	86	14	to	to	ADP
fis-85	86	15	the	the	DET
fis-85	86	16	finite	finite	ADJ
fis-85	86	17	element	element	NOUN
fis-85	86	18	mesh	mesh	NOUN
fis-85	86	19	)	)	PUNCT
fis-85	86	20	or	or	CCONJ
fis-85	86	21	physical	physical	ADJ
fis-85	86	22	(	(	PUNCT
fis-85	86	23	due	due	ADP
fis-85	86	24	to	to	ADP
fis-85	86	25	fracture	fracture	NOUN
fis-85	86	26	initiation	initiation	NOUN
fis-85	86	27	)	)	PUNCT
fis-85	86	28	on	on	ADP
fis-85	86	29	introducing	introduce	VERB
fis-85	86	30	the	the	DET
fis-85	86	31	limit	limit	NOUN
fis-85	86	32	tensile	tensile	NOUN
fis-85	86	33	stress	stress	NOUN
fis-85	86	34			PROPN
fis-85	86	35	°	°	PROPN
fis-85	86	36	,	,	PUNCT
fis-85	86	37	the	the	DET
fis-85	86	38	limit	limit	NOUN
fis-85	86	39	shear	shear	NOUN
fis-85	86	40	stress	stress	NOUN
fis-85	86	41			PROPN
fis-85	86	42	°	°	ADP
fis-85	86	43	the	the	DET
fis-85	86	44	thoughness	thoughness	NOUN
fis-85	86	45	=gc	=gc	PROPN
fis-85	86	46	,	,	PUNCT
fis-85	86	47	the	the	DET
fis-85	86	48	shear	shear	NOUN
fis-85	86	49	stiffness	stiffness	NOUN
fis-85	86	50	k	k	PROPN
fis-85	86	51	and	and	CCONJ
fis-85	86	52	the	the	DET
fis-85	86	53	functions	function	NOUN
fis-85	86	54	(	(	PUNCT
fis-85	86	55	fig.2	fig.2	PROPN
fis-85	86	56	)	)	PUNCT
fis-85	86	57	1	1	NUM
fis-85	86	58	2	2	NUM
fis-85	86	59	2	2	NUM
fis-85	86	60	2	2	NUM
fis-85	86	61	2	2	NUM
fis-85	86	62	(	(	PUNCT
fis-85	86	63	)	)	PUNCT
fis-85	86	64	2arctan	2arctan	PROPN
fis-85	86	65	(	(	PUNCT
fis-85	86	66	)	)	PUNCT
fis-85	86	67	2	2	NUM
fis-85	86	68	2	2	NUM
fis-85	86	69	(	(	PUNCT
fis-85	86	70	)	)	PUNCT
fis-85	86	71	arctan	arctan	PROPN
fis-85	86	72	(	(	PUNCT
fis-85	86	73	)	)	PUNCT
fis-85	86	74	log	log	NOUN
fis-85	86	75	(	(	PUNCT
fis-85	86	76	1	1	NUM
fis-85	86	77	(	(	PUNCT
fis-85	86	78	)	)	PUNCT
fis-85	86	79	)	)	PUNCT
fis-85	86	80	2	2	NUM
fis-85	86	81	2	2	NUM
fis-85	86	82	a	a	PRON
fis-85	86	83	a	a	DET
fis-85	86	84	a	a	DET
fis-85	86	85	e	e	NOUN
fis-85	86	86	e	e	X
fis-85	87	1	k	k	PROPN
fis-85	87	2	b	b	PROPN
fis-85	87	3	k	k	PROPN
fis-85	87	4	b	b	PROPN
fis-85	87	5	b	b	PROPN
fis-85	87	6	k	k	PROPN
fis-85	87	7	b	b	PROPN
fis-85	88	1	k	k	PROPN
fis-85	88	2			PROPN
fis-85	88	3			PROPN
fis-85	88	4			NUM
fis-85	88	5			PROPN
fis-85	88	6			NUM
fis-85	88	7			ADJ
fis-85	88	8			NOUN
fis-85	88	9			PROPN
fis-85	88	10			NOUN
fis-85	88	11			ADJ
fis-85	88	12			NOUN
fis-85	88	13			NOUN
fis-85	88	14			NOUN
fis-85	88	15			NOUN
fis-85	88	16			NOUN
fis-85	88	17			PROPN
fis-85	88	18			PROPN
fis-85	88	19			PROPN
fis-85	88	20			ADV
fis-85	88	21			NOUN
fis-85	88	22			NOUN
fis-85	88	23			NOUN
fis-85	88	24			PROPN
fis-85	88	25			NOUN
fis-85	88	26			PROPN
fis-85	88	27			NOUN
fis-85	88	28			X
fis-85	88	29			PROPN
fis-85	88	30			X
fis-85	88	31			PROPN
fis-85	88	32			NOUN
fis-85	88	33			NOUN
fis-85	88	34			NOUN
fis-85	88	35	(	(	PUNCT
fis-85	88	36	5	5	NUM
fis-85	88	37	)	)	PUNCT
fis-85	88	38	where	where	SCONJ
fis-85	88	39			NOUN
fis-85	88	40	=	=	SYM
fis-85	88	41	1.90086	1.90086	NUM
fis-85	88	42	,	,	PUNCT
fis-85	88	43	we	we	PRON
fis-85	88	44	adopt	adopt	VERB
fis-85	88	45	the	the	DET
fis-85	88	46	following	follow	VERB
fis-85	88	47	approximate	approximate	ADJ
fis-85	88	48	relaxed	relaxed	ADJ
fis-85	88	49	form	form	NOUN
fis-85	88	50	of	of	ADP
fis-85	88	51	the	the	DET
fis-85	88	52	surface	surface	NOUN
fis-85	88	53	energy	energy	NOUN
fis-85	88	54	density	density	NOUN
fis-85	88	55	:	:	PUNCT
fis-85	88	56	)	)	PUNCT
fis-85	88	57	(	(	PUNCT
fis-85	88	58	)	)	PUNCT
fis-85	88	59	(	(	PUNCT
fis-85	88	60	)	)	PUNCT
fis-85	88	61	,	,	PUNCT
fis-85	88	62	(	(	PUNCT
fis-85	88	63	21	21	NUM
fis-85	88	64	baba	baba	NOUN
fis-85	88	65			NOUN
fis-85	88	66			PROPN
fis-85	88	67	(	(	PUNCT
fis-85	88	68	6	6	NUM
fis-85	88	69	)	)	PUNCT
fis-85	88	70	(	(	PUNCT
fis-85	88	71	a	a	X
fis-85	88	72	)	)	PUNCT
fis-85	88	73	(	(	PUNCT
fis-85	88	74	b	b	X
fis-85	88	75	)	)	PUNCT
fis-85	88	76	figure	figure	NOUN
fis-85	88	77	2	2	NUM
fis-85	88	78	:	:	PUNCT
fis-85	88	79	comparison	comparison	NOUN
fis-85	88	80	between	between	ADP
fis-85	88	81	exact	exact	ADJ
fis-85	88	82	and	and	CCONJ
fis-85	88	83	relaxed	relaxed	ADJ
fis-85	88	84	interface	interface	NOUN
fis-85	88	85	energies	energy	NOUN
fis-85	88	86	.	.	PUNCT
fis-85	89	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	89	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	89	3	m.	m.	NOUN
fis-85	89	4	angelillo	angelillo	VERB
fis-85	89	5	et	et	PROPN
fis-85	89	6	alii	alii	PROPN
fis-85	89	7	,	,	PUNCT
fis-85	89	8	frattura	frattura	PROPN
fis-85	89	9	ed	ed	PROPN
fis-85	89	10	integrità	integrità	PROPN
fis-85	89	11	strutturale	strutturale	PROPN
fis-85	89	12	,	,	PUNCT
fis-85	89	13	12	12	NUM
fis-85	89	14	(	(	PUNCT
fis-85	89	15	2010	2010	NUM
fis-85	89	16	)	)	PUNCT
fis-85	89	17	63	63	NUM
fis-85	89	18	-	-	SYM
fis-85	89	19	78	78	NUM
fis-85	89	20	;	;	PUNCT
fis-85	89	21	doi	doi	NOUN
fis-85	89	22	:	:	PUNCT
fis-85	89	23	10.3221	10.3221	NUM
fis-85	89	24	/	/	SYM
fis-85	89	25	igf	igf	PROPN
fis-85	89	26	-	-	ADJ
fis-85	89	27	esis.12.07	esis.12.07	ADJ
fis-85	89	28	67	67	NUM
fis-85	89	29	in	in	ADP
fis-85	89	30	(	(	PUNCT
fis-85	89	31	6)	6)	NOUN
fis-85	89	32	°	°	NOUN
fis-85	89	33	represents	represent	VERB
fis-85	89	34	the	the	DET
fis-85	89	35	slope	slope	NOUN
fis-85	89	36	at	at	ADP
fis-85	89	37	the	the	DET
fis-85	89	38	inflection	inflection	NOUN
fis-85	89	39	point	point	NOUN
fis-85	89	40	of	of	ADP
fis-85	89	41	the	the	DET
fis-85	89	42	curve	curve	NOUN
fis-85	89	43	depicted	depict	VERB
fis-85	89	44	in	in	ADP
fis-85	89	45	fig	fig	NOUN
fis-85	89	46	.	.	PUNCT
fis-85	90	1	2a	2a	NUM
fis-85	90	2	,	,	PUNCT
fis-85	90	3			PROPN
fis-85	90	4	°	°	PROPN
fis-85	90	5	the	the	DET
fis-85	90	6	slope	slope	NOUN
fis-85	90	7	of	of	ADP
fis-85	90	8	the	the	DET
fis-85	90	9	dotted	dotted	ADJ
fis-85	90	10	lines	line	NOUN
fis-85	90	11	in	in	ADP
fis-85	90	12	fig	fig	NOUN
fis-85	90	13	.	.	PUNCT
fis-85	91	1	2b	2b	NUM
fis-85	91	2	.	.	PUNCT
fis-85	92	1	notice	notice	VERB
fis-85	92	2	that	that	SCONJ
fis-85	92	3	while	while	SCONJ
fis-85	92	4			PRON
fis-85	92	5	and	and	CCONJ
fis-85	92	6	k	k	PROPN
fis-85	92	7	are	be	AUX
fis-85	92	8	constants	constant	NOUN
fis-85	92	9	,	,	PUNCT
fis-85	92	10			PROPN
fis-85	92	11	°	°	PROPN
fis-85	92	12	,	,	PUNCT
fis-85	92	13			NOUN
fis-85	92	14	°	°	PROPN
fis-85	92	15	,	,	PUNCT
fis-85	92	16	are	be	AUX
fis-85	92	17	actually	actually	ADV
fis-85	92	18	mesh	mesh	NOUN
fis-85	92	19	dependent	dependent	ADJ
fis-85	92	20	,	,	PUNCT
fis-85	92	21	that	that	PRON
fis-85	92	22	is	be	AUX
fis-85	92	23	their	their	PRON
fis-85	92	24	values	value	NOUN
fis-85	92	25	must	must	AUX
fis-85	92	26	be	be	AUX
fis-85	92	27	tuned	tune	VERB
fis-85	92	28	depending	depend	VERB
fis-85	92	29	on	on	ADP
fis-85	92	30	the	the	DET
fis-85	92	31	current	current	ADJ
fis-85	92	32	mesh	mesh	NOUN
fis-85	92	33	size	size	NOUN
fis-85	92	34	h	h	NOUN
fis-85	92	35	and	and	CCONJ
fis-85	92	36	should	should	AUX
fis-85	92	37	tend	tend	VERB
fis-85	92	38	to	to	PART
fis-85	92	39	infinity	infinity	VERB
fis-85	92	40	as	as	SCONJ
fis-85	92	41	h	h	NOUN
fis-85	92	42	tends	tend	VERB
fis-85	92	43	to	to	ADP
fis-85	92	44	zero	zero	NUM
fis-85	92	45	,	,	PUNCT
fis-85	92	46	linearly	linearly	ADV
fis-85	92	47	with1	with1	NOUN
fis-85	92	48	/	/	SYM
fis-85	92	49	h.	h.	PROPN
fis-85	92	50	although	although	SCONJ
fis-85	92	51	the	the	DET
fis-85	92	52	density	density	NOUN
fis-85	92	53	(	(	PUNCT
fis-85	92	54	13	13	NUM
fis-85	92	55	)	)	PUNCT
fis-85	92	56	has	have	VERB
fis-85	92	57	a	a	DET
fis-85	92	58	shape	shape	NOUN
fis-85	92	59	close	close	ADV
fis-85	92	60	to	to	ADP
fis-85	92	61	that	that	PRON
fis-85	92	62	of	of	ADP
fis-85	92	63	the	the	DET
fis-85	92	64	approximate	approximate	ADJ
fis-85	92	65	surface	surface	PROPN
fis-85	92	66	energy	energy	NOUN
fis-85	92	67	density	density	NOUN
fis-85	92	68	defined	define	VERB
fis-85	92	69	in	in	ADP
fis-85	92	70	[	[	X
fis-85	92	71	2	2	NUM
fis-85	92	72	]	]	PUNCT
fis-85	92	73	,	,	PUNCT
fis-85	92	74	the	the	DET
fis-85	92	75	main	main	ADJ
fis-85	92	76	difference	difference	NOUN
fis-85	92	77	between	between	ADP
fis-85	92	78	them	they	PRON
fis-85	92	79	is	be	AUX
fis-85	92	80	that	that	SCONJ
fis-85	92	81	all	all	DET
fis-85	92	82	parameters	parameter	NOUN
fis-85	92	83	in	in	ADP
fis-85	92	84	the	the	DET
fis-85	92	85	function	function	NOUN
fis-85	92	86	(	(	PUNCT
fis-85	92	87	6	6	NUM
fis-85	92	88	)	)	PUNCT
fis-85	92	89	have	have	VERB
fis-85	92	90	a	a	DET
fis-85	92	91	clear	clear	ADJ
fis-85	92	92	physical	physical	ADJ
fis-85	92	93	meaning	meaning	NOUN
fis-85	92	94	and	and	CCONJ
fis-85	92	95	no	no	DET
fis-85	92	96	shape	shape	NOUN
fis-85	92	97	parameter	parameter	NOUN
fis-85	92	98	is	be	AUX
fis-85	92	99	needed	need	VERB
fis-85	92	100	.	.	PUNCT
fis-85	93	1	fracture	fracture	NOUN
fis-85	93	2	nucleation	nucleation	NOUN
fis-85	93	3	in	in	ADP
fis-85	93	4	1d	1d	NUM
fis-85	93	5	he	he	PRON
fis-85	93	6	study	study	NOUN
fis-85	93	7	of	of	ADP
fis-85	93	8	a	a	DET
fis-85	93	9	simple	simple	ADJ
fis-85	93	10	1d	1d	NUM
fis-85	93	11	example	example	NOUN
fis-85	93	12	can	can	AUX
fis-85	93	13	clarify	clarify	VERB
fis-85	93	14	the	the	DET
fis-85	93	15	main	main	ADJ
fis-85	93	16	ingredients	ingredient	NOUN
fis-85	93	17	of	of	ADP
fis-85	93	18	our	our	PRON
fis-85	93	19	approach	approach	NOUN
fis-85	93	20	.	.	PUNCT
fis-85	94	1	consider	consider	VERB
fis-85	94	2	the	the	DET
fis-85	94	3	long	long	ADJ
fis-85	94	4	strip	strip	NOUN
fis-85	94	5	of	of	ADP
fis-85	94	6	brittle	brittle	ADJ
fis-85	94	7	material	material	NOUN
fis-85	94	8	depicted	depict	VERB
fis-85	94	9	in	in	ADP
fis-85	94	10	fig	fig	NOUN
fis-85	94	11	.	.	PUNCT
fis-85	95	1	3	3	NUM
fis-85	95	2	,	,	PUNCT
fis-85	95	3	modeled	model	VERB
fis-85	95	4	as	as	ADP
fis-85	95	5	a	a	DET
fis-85	95	6	1d	1d	NUM
fis-85	95	7	continuous	continuous	ADJ
fis-85	95	8	bar	bar	NOUN
fis-85	95	9	,	,	PUNCT
fis-85	95	10	fixed	fix	VERB
fis-85	95	11	at	at	ADP
fis-85	95	12	the	the	DET
fis-85	95	13	left	left	ADJ
fis-85	95	14	end	end	NOUN
fis-85	95	15	and	and	CCONJ
fis-85	95	16	subject	subject	ADJ
fis-85	95	17	to	to	ADP
fis-85	95	18	a	a	DET
fis-85	95	19	given	give	VERB
fis-85	95	20	displacement	displacement	ADJ
fis-85	95	21	u	u	NOUN
fis-85	95	22	at	at	ADP
fis-85	95	23	the	the	DET
fis-85	95	24	other	other	ADJ
fis-85	95	25	end	end	NOUN
fis-85	95	26	.	.	PUNCT
fis-85	96	1	figure	figure	VERB
fis-85	96	2	3	3	NUM
fis-85	96	3	:	:	SYM
fis-85	96	4	1d	1d	NUM
fis-85	96	5	bar	bar	NOUN
fis-85	96	6	:	:	PUNCT
fis-85	96	7	fe	fe	X
fis-85	96	8	discretization	discretization	NOUN
fis-85	96	9	.	.	PUNCT
fis-85	97	1	the	the	DET
fis-85	97	2	bar	bar	NOUN
fis-85	97	3	has	have	AUX
fis-85	97	4	been	be	AUX
fis-85	97	5	discretized	discretize	VERB
fis-85	97	6	into	into	ADP
fis-85	97	7	two	two	NUM
fis-85	97	8	finite	finite	ADJ
fis-85	97	9	elements	element	NOUN
fis-85	97	10	of	of	ADP
fis-85	97	11	length	length	NOUN
fis-85	97	12	l/2	l/2	PROPN
fis-85	97	13	.	.	PUNCT
fis-85	98	1	inside	inside	ADP
fis-85	98	2	the	the	DET
fis-85	98	3	elements	element	NOUN
fis-85	98	4	the	the	DET
fis-85	98	5	material	material	NOUN
fis-85	98	6	is	be	AUX
fis-85	98	7	linearly	linearly	ADV
fis-85	98	8	elastic	elastic	ADJ
fis-85	98	9	and	and	CCONJ
fis-85	98	10	characterized	characterize	VERB
fis-85	98	11	by	by	ADP
fis-85	98	12	the	the	DET
fis-85	98	13	elastic	elastic	ADJ
fis-85	98	14	energy	energy	NOUN
fis-85	98	15	density	density	NOUN
fis-85	98	16	=1/2	=1/2	NOUN
fis-85	98	17	ea	ea	X
fis-85	99	1	2	2	PROPN
fis-85	99	2	.	.	PUNCT
fis-85	100	1	the	the	DET
fis-85	100	2	spirit	spirit	NOUN
fis-85	100	3	of	of	ADP
fis-85	100	4	our	our	PRON
fis-85	100	5	approximation	approximation	NOUN
fis-85	100	6	is	be	AUX
fis-85	100	7	to	to	PART
fis-85	100	8	consider	consider	VERB
fis-85	100	9	that	that	PRON
fis-85	100	10	fractures	fracture	NOUN
fis-85	100	11	,	,	PUNCT
fis-85	100	12	that	that	PRON
fis-85	100	13	is	be	AUX
fis-85	100	14	discontinuities	discontinuity	NOUN
fis-85	100	15	in	in	ADP
fis-85	100	16	the	the	DET
fis-85	100	17	displacements	displacement	NOUN
fis-85	100	18	,	,	PUNCT
fis-85	100	19	may	may	AUX
fis-85	100	20	occur	occur	VERB
fis-85	100	21	at	at	ADP
fis-85	100	22	the	the	DET
fis-85	100	23	interface	interface	NOUN
fis-85	100	24	between	between	ADP
fis-85	100	25	elements	element	NOUN
fis-85	100	26	(	(	PUNCT
fis-85	100	27	the	the	DET
fis-85	100	28	skeleton	skeleton	NOUN
fis-85	100	29	of	of	ADP
fis-85	100	30	the	the	DET
fis-85	100	31	mesh	mesh	NOUN
fis-85	100	32	)	)	PUNCT
fis-85	100	33	,	,	PUNCT
fis-85	100	34	that	that	PRON
fis-85	100	35	is	be	AUX
fis-85	100	36	at	at	ADP
fis-85	100	37	point	point	NOUN
fis-85	100	38	2	2	NUM
fis-85	100	39	.	.	PUNCT
fis-85	100	40	to	to	PART
fis-85	100	41	allow	allow	VERB
fis-85	100	42	for	for	ADP
fis-85	100	43	the	the	DET
fis-85	100	44	interface	interface	NOUN
fis-85	100	45	energy	energy	NOUN
fis-85	100	46	at	at	ADP
fis-85	100	47	node	node	NOUN
fis-85	100	48	2	2	NUM
fis-85	100	49	we	we	PRON
fis-85	100	50	must	must	AUX
fis-85	100	51	duplicate	duplicate	VERB
fis-85	100	52	node	node	NOUN
fis-85	100	53	2	2	NUM
fis-85	100	54	into	into	ADP
fis-85	100	55	two	two	NUM
fis-85	100	56	spatially	spatially	ADV
fis-85	100	57	coincident	coincident	ADJ
fis-85	100	58	nodes	node	NOUN
fis-85	100	59	in	in	ADP
fis-85	100	60	the	the	DET
fis-85	100	61	reference	reference	NOUN
fis-85	100	62	configuration	configuration	NOUN
fis-85	100	63			PROPN
fis-85	100	64	:	:	PUNCT
fis-85	100	65	2	2	NUM
fis-85	100	66	’	'	PUNCT
fis-85	100	67	,	,	PUNCT
fis-85	100	68	2	2	NUM
fis-85	100	69	”	"	PUNCT
fis-85	100	70	.	.	PUNCT
fis-85	101	1	therefore	therefore	ADV
fis-85	101	2	we	we	PRON
fis-85	101	3	are	be	AUX
fis-85	101	4	reduced	reduce	VERB
fis-85	101	5	to	to	ADP
fis-85	101	6	a	a	DET
fis-85	101	7	two	two	NUM
fis-85	101	8	degrees	degree	NOUN
fis-85	101	9	of	of	ADP
fis-85	101	10	freedom	freedom	NOUN
fis-85	101	11	structure	structure	NOUN
fis-85	101	12	.	.	PUNCT
fis-85	102	1	the	the	DET
fis-85	102	2	two	two	NUM
fis-85	102	3	degrees	degree	NOUN
fis-85	102	4	of	of	ADP
fis-85	102	5	freedom	freedom	NOUN
fis-85	102	6	we	we	PRON
fis-85	102	7	choose	choose	VERB
fis-85	102	8	are	be	AUX
fis-85	102	9	{	{	PUNCT
fis-85	102	10	u	u	NOUN
fis-85	102	11	,	,	PUNCT
fis-85	102	12	a	a	PRON
fis-85	102	13	}	}	PUNCT
fis-85	102	14	and	and	CCONJ
fis-85	102	15	are	be	AUX
fis-85	102	16	defined	define	VERB
fis-85	102	17	in	in	ADP
fis-85	102	18	terms	term	NOUN
fis-85	102	19	of	of	ADP
fis-85	102	20	the	the	DET
fis-85	102	21	displacements	displacement	NOUN
fis-85	102	22	u(2	u(2	ADJ
fis-85	102	23	’	'	PUNCT
fis-85	102	24	)	)	PUNCT
fis-85	102	25	,	,	PUNCT
fis-85	102	26	u(2	u(2	PROPN
fis-85	102	27	”	"	PUNCT
fis-85	102	28	)	)	PUNCT
fis-85	102	29	as	as	SCONJ
fis-85	102	30	follows	follow	VERB
fis-85	102	31	:	:	PUNCT
fis-85	102	32	u=	u=	ADV
fis-85	102	33	u(2	u(2	ADJ
fis-85	102	34	’	'	PUNCT
fis-85	102	35	)	)	PUNCT
fis-85	102	36	,	,	PUNCT
fis-85	102	37	a	a	DET
fis-85	102	38	=	=	PUNCT
fis-85	102	39	u(2”)u(2	u(2”)u(2	NOUN
fis-85	102	40	’	'	PUNCT
fis-85	102	41	)	)	PUNCT
fis-85	102	42	.	.	PUNCT
fis-85	103	1	then	then	ADV
fis-85	103	2	the	the	DET
fis-85	103	3	total	total	ADJ
fis-85	103	4	energy	energy	NOUN
fis-85	103	5	is	is	PUNCT
fis-85	103	6	2	2	NUM
fis-85	103	7	2	2	NUM
fis-85	103	8	2	2	NUM
fis-85	103	9	2	2	NUM
fis-85	103	10	c	c	NOUN
fis-85	103	11	1	1	NUM
fis-85	103	12	/	/	SYM
fis-85	103	13	2	2	NUM
fis-85	103	14	ea	ea	SYM
fis-85	103	15	2	2	NUM
fis-85	103	16	u	u	NOUN
fis-85	103	17	/	/	SYM
fis-85	103	18	l	l	NOUN
fis-85	103	19	1	1	NUM
fis-85	103	20	/	/	SYM
fis-85	103	21	2	2	NUM
fis-85	103	22	ea	ea	NUM
fis-85	103	23	2	2	NUM
fis-85	103	24	(	(	PUNCT
fis-85	103	25	u	u	NOUN
fis-85	103	26	u	u	NOUN
fis-85	103	27	)	)	PUNCT
fis-85	103	28	/	/	PUNCT
fis-85	104	1	l	l	NOUN
fis-85	104	2	a	a	X
fis-85	104	3	=	=	SYM
fis-85	104	4	0	0	NUM
fis-85	104	5	e	e	NOUN
fis-85	104	6	(	(	PUNCT
fis-85	104	7	u	u	NOUN
fis-85	104	8	,	,	PUNCT
fis-85	104	9	a	a	PRON
fis-85	104	10	)	)	PUNCT
fis-85	104	11	1	1	NUM
fis-85	104	12	/	/	SYM
fis-85	104	13	2	2	NUM
fis-85	104	14	ea	ea	SYM
fis-85	104	15	2	2	NUM
fis-85	104	16	u	u	NOUN
fis-85	104	17	/	/	SYM
fis-85	104	18	l	l	NOUN
fis-85	104	19	1	1	NUM
fis-85	104	20	/	/	SYM
fis-85	104	21	2	2	NUM
fis-85	104	22	ea	ea	NUM
fis-85	104	23	2	2	NUM
fis-85	104	24	(	(	PUNCT
fis-85	104	25	u	u	NOUN
fis-85	104	26	u	u	NOUN
fis-85	104	27	a	a	NOUN
fis-85	104	28	)	)	PUNCT
fis-85	104	29	/	/	SYM
fis-85	105	1	l	l	NOUN
fis-85	105	2	g	g	NOUN
fis-85	105	3	a	a	DET
fis-85	105	4	0	0	NUM
fis-85	105	5	a	a	DET
fis-85	105	6	0	0	NUM
fis-85	105	7			NOUN
fis-85	105	8			ADV
fis-85	105	9			PROPN
fis-85	105	10			NUM
fis-85	105	11			PROPN
fis-85	105	12			PUNCT
fis-85	105	13			PROPN
fis-85	105	14			PROPN
fis-85	105	15			ADV
fis-85	105	16			PROPN
fis-85	105	17			PUNCT
fis-85	105	18			NOUN
fis-85	105	19	the	the	DET
fis-85	105	20	graph	graph	NOUN
fis-85	105	21	of	of	ADP
fis-85	105	22	the	the	DET
fis-85	105	23	energy	energy	NOUN
fis-85	105	24	(u	(u	NOUN
fis-85	105	25	,	,	PUNCT
fis-85	105	26	a	a	PRON
fis-85	105	27	)	)	PUNCT
fis-85	105	28	for	for	ADP
fis-85	105	29	a	a	DET
fis-85	105	30	particular	particular	ADJ
fis-85	105	31	value	value	NOUN
fis-85	105	32	of	of	ADP
fis-85	105	33	the	the	DET
fis-85	105	34	given	give	VERB
fis-85	105	35	displacement	displacement	NOUN
fis-85	105	36	u	u	NOUN
fis-85	105	37	is	be	AUX
fis-85	105	38	depicted	depict	VERB
fis-85	105	39	in	in	ADP
fis-85	105	40	fig	fig	NOUN
fis-85	105	41	.	.	PUNCT
fis-85	106	1	4	4	X
fis-85	106	2	.	.	X
fis-85	106	3	in	in	ADP
fis-85	106	4	the	the	DET
fis-85	106	5	figure	figure	NOUN
fis-85	106	6	are	be	AUX
fis-85	106	7	visible	visible	ADJ
fis-85	106	8	two	two	NUM
fis-85	106	9	minima	minima	NOUN
fis-85	106	10	:	:	PUNCT
fis-85	106	11	one	one	NUM
fis-85	106	12	is	be	AUX
fis-85	106	13	½	½	NOUN
fis-85	106	14	ea	ea	NOUN
fis-85	107	1	u2l	u2l	PROPN
fis-85	107	2	,	,	PUNCT
fis-85	107	3	the	the	DET
fis-85	107	4	“	"	PUNCT
fis-85	107	5	elastic	elastic	ADJ
fis-85	107	6	”	"	PUNCT
fis-85	107	7	minimum	minimum	NOUN
fis-85	107	8	for	for	ADP
fis-85	107	9	a=0	a=0	PRON
fis-85	107	10	and	and	CCONJ
fis-85	107	11	u	u	NOUN
fis-85	107	12	=	=	NOUN
fis-85	107	13	u/2	u/2	NUM
fis-85	107	14	(	(	PUNCT
fis-85	107	15	point	point	NOUN
fis-85	107	16	a	a	NOUN
fis-85	107	17	)	)	PUNCT
fis-85	107	18	,	,	PUNCT
fis-85	107	19	that	that	PRON
fis-85	107	20	is	be	AUX
fis-85	107	21	the	the	DET
fis-85	107	22	one	one	NUM
fis-85	107	23	for	for	ADP
fis-85	107	24	which	which	PRON
fis-85	107	25	there	there	PRON
fis-85	107	26	is	be	VERB
fis-85	107	27	no	no	DET
fis-85	107	28	discontinuity	discontinuity	NOUN
fis-85	107	29	;	;	PUNCT
fis-85	107	30	the	the	DET
fis-85	107	31	other	other	ADJ
fis-85	107	32	one	one	NOUN
fis-85	107	33	is	be	AUX
fis-85	107	34	gc	gc	PROPN
fis-85	107	35	,	,	PUNCT
fis-85	107	36	the	the	DET
fis-85	107	37	minimum	minimum	NOUN
fis-85	107	38	for	for	ADP
fis-85	107	39	a	a	DET
fis-85	107	40	=	=	NOUN
fis-85	107	41	u	u	NOUN
fis-85	107	42	and	and	CCONJ
fis-85	107	43	u=0	u=0	INTJ
fis-85	107	44	(	(	PUNCT
fis-85	107	45	point	point	NOUN
fis-85	107	46	b	b	NOUN
fis-85	107	47	)	)	PUNCT
fis-85	107	48	,	,	PUNCT
fis-85	107	49	that	that	PRON
fis-85	107	50	is	be	AUX
fis-85	107	51	the	the	DET
fis-85	107	52	bar	bar	NOUN
fis-85	107	53	is	be	AUX
fis-85	107	54	completely	completely	ADV
fis-85	107	55	fractured	fractured	ADJ
fis-85	107	56	.	.	PUNCT
fis-85	108	1	for	for	ADP
fis-85	108	2	u	u	PRON
fis-85	108	3	small	small	ADJ
fis-85	108	4	the	the	DET
fis-85	108	5	“	"	PUNCT
fis-85	108	6	elastic	elastic	ADJ
fis-85	108	7	”	"	PUNCT
fis-85	108	8	minimum	minimum	NOUN
fis-85	108	9	is	be	AUX
fis-85	108	10	smaller	small	ADJ
fis-85	108	11	than	than	ADP
fis-85	108	12	the	the	DET
fis-85	108	13	“	"	PUNCT
fis-85	108	14	completly	completly	ADV
fis-85	108	15	fractured	fractured	ADJ
fis-85	108	16	”	"	PUNCT
fis-85	108	17	minimum	minimum	NOUN
fis-85	108	18	.	.	PUNCT
fis-85	109	1	as	as	SCONJ
fis-85	109	2	the	the	DET
fis-85	109	3	displacement	displacement	NOUN
fis-85	109	4	u	u	NOUN
fis-85	109	5	is	be	AUX
fis-85	109	6	gradually	gradually	ADV
fis-85	109	7	increased	increase	VERB
fis-85	109	8	from	from	ADP
fis-85	109	9	zero	zero	NUM
fis-85	109	10	,	,	PUNCT
fis-85	109	11	with	with	ADP
fis-85	109	12	the	the	DET
fis-85	109	13	system	system	NOUN
fis-85	109	14	sitting	sit	VERB
fis-85	109	15	in	in	ADP
fis-85	109	16	the	the	DET
fis-85	109	17	“	"	PUNCT
fis-85	109	18	elastic	elastic	ADJ
fis-85	109	19	”	"	PUNCT
fis-85	109	20	minimum	minimum	NOUN
fis-85	109	21	,	,	PUNCT
fis-85	109	22	the	the	DET
fis-85	109	23	energy	energy	NOUN
fis-85	109	24	minimum	minimum	NOUN
fis-85	109	25	rises	rise	NOUN
fis-85	109	26	and	and	CCONJ
fis-85	109	27	becomes	become	VERB
fis-85	109	28	larger	large	ADJ
fis-85	109	29	than	than	ADP
fis-85	109	30	gc	gc	PROPN
fis-85	109	31	.	.	PROPN
fis-85	110	1	as	as	SCONJ
fis-85	110	2	it	it	PRON
fis-85	110	3	is	be	AUX
fis-85	110	4	evident	evident	ADJ
fis-85	110	5	from	from	ADP
fis-85	110	6	fig	fig	NOUN
fis-85	110	7	.	.	PUNCT
fis-85	111	1	4	4	NUM
fis-85	111	2	,	,	PUNCT
fis-85	111	3	wathever	wathever	X
fis-85	111	4	large	large	ADJ
fis-85	111	5	be	be	AUX
fis-85	111	6	the	the	DET
fis-85	111	7	elastic	elastic	ADJ
fis-85	111	8	minimum	minimum	NOUN
fis-85	111	9	with	with	ADP
fis-85	111	10	respect	respect	NOUN
fis-85	111	11	to	to	ADP
fis-85	111	12	gc	gc	PROPN
fis-85	111	13	,	,	PUNCT
fis-85	111	14	there	there	PRON
fis-85	111	15	is	be	VERB
fis-85	111	16	always	always	ADV
fis-85	111	17	an	an	DET
fis-85	111	18	energy	energy	NOUN
fis-85	111	19	barrier	barrier	NOUN
fis-85	111	20	to	to	PART
fis-85	111	21	sormount	sormount	VERB
fis-85	111	22	to	to	PART
fis-85	111	23	go	go	VERB
fis-85	111	24	from	from	ADP
fis-85	111	25	the	the	DET
fis-85	111	26	local	local	ADJ
fis-85	111	27	to	to	ADP
fis-85	111	28	the	the	DET
fis-85	111	29	global	global	ADJ
fis-85	111	30	minimum	minimum	NOUN
fis-85	111	31	,	,	PUNCT
fis-85	111	32	that	that	PRON
fis-85	111	33	is	be	AUX
fis-85	111	34	there	there	PRON
fis-85	111	35	is	be	VERB
fis-85	111	36	no	no	DET
fis-85	111	37	descent	descent	NOUN
fis-85	111	38	direction	direction	NOUN
fis-85	111	39	from	from	ADP
fis-85	111	40	a	a	DET
fis-85	111	41	to	to	PART
fis-85	111	42	b.	b.	PROPN
fis-85	111	43	figure	figure	NOUN
fis-85	111	44	4	4	NUM
fis-85	111	45	:	:	PUNCT
fis-85	111	46	3d	3d	NUM
fis-85	111	47	plot	plot	NOUN
fis-85	111	48	of	of	ADP
fis-85	111	49	the	the	DET
fis-85	111	50	energy	energy	NOUN
fis-85	111	51			ADJ
fis-85	111	52	for	for	ADP
fis-85	111	53	u	u	NOUN
fis-85	111	54	large	large	ADJ
fis-85	111	55	.	.	PUNCT
fis-85	112	1	t	t	PROPN
fis-85	112	2	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	112	3	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	112	4	m.	m.	NOUN
fis-85	112	5	angelillo	angelillo	VERB
fis-85	112	6	et	et	PROPN
fis-85	112	7	alii	alii	PROPN
fis-85	112	8	,	,	PUNCT
fis-85	112	9	frattura	frattura	PROPN
fis-85	112	10	ed	ed	PROPN
fis-85	112	11	integrità	integrità	PROPN
fis-85	112	12	strutturale	strutturale	PROPN
fis-85	112	13	,	,	PUNCT
fis-85	112	14	12	12	NUM
fis-85	112	15	(	(	PUNCT
fis-85	112	16	2010	2010	NUM
fis-85	112	17	)	)	PUNCT
fis-85	112	18	63	63	NUM
fis-85	112	19	-	-	SYM
fis-85	112	20	78	78	NUM
fis-85	112	21	;	;	PUNCT
fis-85	112	22	doi	doi	NOUN
fis-85	112	23	:	:	PUNCT
fis-85	112	24	10.3221	10.3221	NUM
fis-85	112	25	/	/	SYM
fis-85	112	26	igf	igf	PROPN
fis-85	112	27	-	-	ADJ
fis-85	112	28	esis.12.07	esis.12.07	ADJ
fis-85	112	29	68	68	NUM
fis-85	112	30	the	the	DET
fis-85	112	31	numerical	numerical	ADJ
fis-85	112	32	method	method	NOUN
fis-85	112	33	we	we	PRON
fis-85	112	34	propose	propose	VERB
fis-85	112	35	to	to	PART
fis-85	112	36	get	get	VERB
fis-85	112	37	out	out	ADP
fis-85	112	38	of	of	ADP
fis-85	112	39	the	the	DET
fis-85	112	40	“	"	PUNCT
fis-85	112	41	elastic	elastic	ADJ
fis-85	112	42	pocket	pocket	NOUN
fis-85	112	43	”	"	PUNCT
fis-85	112	44	is	be	AUX
fis-85	112	45	to	to	PART
fis-85	112	46	adopt	adopt	VERB
fis-85	112	47	for	for	ADP
fis-85	112	48	the	the	DET
fis-85	112	49	interface	interface	NOUN
fis-85	112	50	energy	energy	NOUN
fis-85	112	51	the	the	DET
fis-85	112	52	relaxed	relaxed	ADJ
fis-85	112	53	form	form	NOUN
fis-85	112	54	depicted	depict	VERB
fis-85	112	55	in	in	ADP
fis-85	112	56	fig	fig	NOUN
fis-85	112	57	.	.	PUNCT
fis-85	113	1	2a	2a	NUM
fis-85	113	2	.	.	PUNCT
fis-85	114	1	with	with	ADP
fis-85	114	2	such	such	ADJ
fis-85	114	3	cohesive	cohesive	ADJ
fis-85	114	4	type	type	NOUN
fis-85	114	5	energy	energy	NOUN
fis-85	114	6	the	the	DET
fis-85	114	7	system	system	NOUN
fis-85	114	8	will	will	AUX
fis-85	114	9	access	access	VERB
fis-85	114	10	a	a	DET
fis-85	114	11	descent	descent	NOUN
fis-85	114	12	direction	direction	NOUN
fis-85	114	13	at	at	ADP
fis-85	114	14	u=	u=	PROPN
fis-85	114	15	l	l	NOUN
fis-85	114	16			PROPN
fis-85	114	17	°	°	NOUN
fis-85	114	18	/e	/e	NOUN
fis-85	114	19	.	.	PUNCT
fis-85	115	1	the	the	DET
fis-85	115	2	stress	stress	NOUN
fis-85	115	3	thresold	thresold	PROPN
fis-85	115	4	is	be	AUX
fis-85	115	5	set	set	VERB
fis-85	115	6	again	again	ADV
fis-85	115	7	to	to	PART
fis-85	115	8	infinity	infinity	NOUN
fis-85	115	9	as	as	ADV
fis-85	115	10	soon	soon	ADV
fis-85	115	11	as	as	SCONJ
fis-85	115	12	the	the	DET
fis-85	115	13	system	system	NOUN
fis-85	115	14	accesses	access	VERB
fis-85	115	15	the	the	DET
fis-85	115	16	gradient	gradient	ADJ
fis-85	115	17	flow	flow	NOUN
fis-85	115	18	from	from	ADP
fis-85	115	19	a	a	DET
fis-85	115	20	to	to	PART
fis-85	115	21	b	b	NOUN
fis-85	115	22	;	;	PUNCT
fis-85	115	23	the	the	DET
fis-85	115	24	fractured	fractured	ADJ
fis-85	115	25	minimum	minimum	NOUN
fis-85	115	26	is	be	AUX
fis-85	115	27	reached	reach	VERB
fis-85	115	28	through	through	ADP
fis-85	115	29	steepest	steep	ADJ
fis-85	115	30	descent	descent	NOUN
fis-85	115	31	.	.	PUNCT
fis-85	116	1	in	in	ADP
fis-85	116	2	this	this	DET
fis-85	116	3	example	example	NOUN
fis-85	116	4	the	the	DET
fis-85	116	5	mesh	mesh	NOUN
fis-85	116	6	skeleton	skeleton	NOUN
fis-85	116	7	is	be	AUX
fis-85	116	8	fixed	fix	VERB
fis-85	116	9	,	,	PUNCT
fis-85	116	10	therefore	therefore	ADV
fis-85	116	11	the	the	DET
fis-85	116	12	crack	crack	NOUN
fis-85	116	13	can	can	AUX
fis-85	116	14	open	open	VERB
fis-85	116	15	up	up	ADP
fis-85	116	16	only	only	ADV
fis-85	116	17	at	at	ADP
fis-85	116	18	point	point	NOUN
fis-85	116	19	2	2	NUM
fis-85	116	20	.	.	PUNCT
fis-85	116	21	a	a	DET
fis-85	116	22	way	way	NOUN
fis-85	116	23	to	to	PART
fis-85	116	24	make	make	VERB
fis-85	116	25	the	the	DET
fis-85	116	26	crack	crack	NOUN
fis-85	116	27	move	move	NOUN
fis-85	116	28	is	be	AUX
fis-85	116	29	to	to	PART
fis-85	116	30	consider	consider	VERB
fis-85	116	31	the	the	DET
fis-85	116	32	mesh	mesh	NOUN
fis-85	116	33	1	1	NUM
fis-85	116	34	,	,	PUNCT
fis-85	116	35	2	2	NUM
fis-85	116	36	,	,	PUNCT
fis-85	116	37	3	3	NUM
fis-85	116	38	variable	variable	NOUN
fis-85	116	39	in	in	ADP
fis-85	116	40	the	the	DET
fis-85	116	41	sense	sense	NOUN
fis-85	116	42	that	that	SCONJ
fis-85	116	43	the	the	DET
fis-85	116	44	coordinate	coordinate	NOUN
fis-85	116	45	x(2	x(2	PROPN
fis-85	116	46	)	)	PUNCT
fis-85	116	47	of	of	ADP
fis-85	116	48	point	point	NOUN
fis-85	116	49	2	2	NUM
fis-85	116	50	is	be	AUX
fis-85	116	51	taken	take	VERB
fis-85	116	52	as	as	ADP
fis-85	116	53	a	a	DET
fis-85	116	54	further	further	ADJ
fis-85	116	55	variable	variable	NOUN
fis-85	116	56	in	in	ADP
fis-85	116	57	the	the	DET
fis-85	116	58	energy	energy	NOUN
fis-85	116	59	:	:	PUNCT
fis-85	116	60			NOUN
fis-85	116	61			SYM
fis-85	116	62			NOUN
fis-85	116	63			PUNCT
fis-85	116	64			NOUN
fis-85	116	65			NOUN
fis-85	117	1			PUNCT
fis-85	117	2			NOUN
fis-85	117	3			PUNCT
fis-85	117	4			NOUN
fis-85	117	5			NOUN
fis-85	118	1			PROPN
fis-85	118	2	2	2	NUM
fis-85	118	3	2	2	NUM
fis-85	118	4	2	2	NUM
fis-85	118	5	2	2	NUM
fis-85	118	6	c	c	NOUN
fis-85	118	7	1	1	NUM
fis-85	118	8	/	/	SYM
fis-85	118	9	2	2	NUM
fis-85	118	10	ea	ea	NOUN
fis-85	118	11	u	u	PROPN
fis-85	118	12	/	/	SYM
fis-85	118	13	x	x	SYM
fis-85	118	14	2	2	NUM
fis-85	118	15	1	1	NUM
fis-85	118	16	/	/	SYM
fis-85	118	17	2	2	NUM
fis-85	118	18	ea	ea	NOUN
fis-85	118	19	(	(	PUNCT
fis-85	118	20	u	u	NOUN
fis-85	118	21	u	u	NOUN
fis-85	118	22	)	)	PUNCT
fis-85	118	23	/	/	SYM
fis-85	119	1	l	l	NOUN
fis-85	119	2	x	x	SYM
fis-85	119	3	2	2	NUM
fis-85	119	4	a	a	DET
fis-85	119	5	=	=	SYM
fis-85	119	6	0	0	NUM
fis-85	119	7	e	e	NOUN
fis-85	119	8	(	(	PUNCT
fis-85	119	9	u	u	NOUN
fis-85	119	10	,	,	PUNCT
fis-85	119	11	a	a	PRON
fis-85	119	12	,	,	PUNCT
fis-85	119	13	x	x	NOUN
fis-85	119	14	2	2	X
fis-85	119	15	)	)	PUNCT
fis-85	119	16	1/	1/	NUM
fis-85	119	17	2	2	NUM
fis-85	119	18	ea	ea	NOUN
fis-85	119	19	u	u	PROPN
fis-85	119	20	/	/	SYM
fis-85	119	21	x	x	SYM
fis-85	119	22	2	2	NUM
fis-85	119	23	1	1	NUM
fis-85	119	24	/	/	SYM
fis-85	119	25	2	2	NUM
fis-85	119	26	ea	ea	NOUN
fis-85	119	27	(	(	PUNCT
fis-85	119	28	u	u	NOUN
fis-85	119	29	u	u	NOUN
fis-85	119	30	a	a	NOUN
fis-85	119	31	)	)	PUNCT
fis-85	119	32	/	/	SYM
fis-85	119	33	l	l	NOUN
fis-85	119	34	x	x	SYM
fis-85	119	35	2	2	NUM
fis-85	119	36	g	g	NOUN
fis-85	119	37	a	a	DET
fis-85	119	38	0	0	NUM
fis-85	119	39	a	a	DET
fis-85	119	40	0	0	NUM
fis-85	119	41			NOUN
fis-85	119	42			PUNCT
fis-85	119	43			PROPN
fis-85	119	44			PROPN
fis-85	119	45			NUM
fis-85	119	46			ADJ
fis-85	119	47			PROPN
fis-85	119	48			PROPN
fis-85	119	49			PROPN
fis-85	119	50			CCONJ
fis-85	119	51			PROPN
fis-85	119	52			PRON
fis-85	119	53			NOUN
fis-85	119	54	and	and	CCONJ
fis-85	119	55	the	the	DET
fis-85	119	56	minimum	minimum	NOUN
fis-85	119	57	is	be	AUX
fis-85	119	58	searched	search	VERB
fis-85	119	59	with	with	ADP
fis-85	119	60	respect	respect	NOUN
fis-85	119	61	to	to	ADP
fis-85	119	62	u	u	NOUN
fis-85	119	63	,	,	PUNCT
fis-85	119	64	a	a	PRON
fis-85	119	65	,	,	PUNCT
fis-85	119	66	x(2	x(2	PROPN
fis-85	119	67	)	)	PUNCT
fis-85	119	68	.	.	PUNCT
fis-85	120	1	actually	actually	ADV
fis-85	120	2	all	all	DET
fis-85	120	3	the	the	DET
fis-85	120	4	fractured	fractured	ADJ
fis-85	120	5	minima	minima	NOUN
fis-85	120	6	are	be	AUX
fis-85	120	7	equivalent	equivalent	ADJ
fis-85	120	8	if	if	SCONJ
fis-85	120	9	the	the	DET
fis-85	120	10	bar	bar	NOUN
fis-85	120	11	is	be	AUX
fis-85	120	12	homogeneous	homogeneous	ADJ
fis-85	120	13	and	and	CCONJ
fis-85	120	14	there	there	PRON
fis-85	120	15	is	be	VERB
fis-85	120	16	no	no	DET
fis-85	120	17	reason	reason	NOUN
fis-85	120	18	for	for	SCONJ
fis-85	120	19	the	the	DET
fis-85	120	20	bar	bar	NOUN
fis-85	120	21	to	to	PART
fis-85	120	22	move	move	VERB
fis-85	120	23	the	the	DET
fis-85	120	24	crack	crack	NOUN
fis-85	120	25	from	from	ADP
fis-85	120	26	the	the	DET
fis-85	120	27	midpoint	midpoint	NOUN
fis-85	120	28	.	.	PUNCT
fis-85	121	1	this	this	PRON
fis-85	121	2	can	can	AUX
fis-85	121	3	be	be	AUX
fis-85	121	4	easily	easily	ADV
fis-85	121	5	verified	verify	VERB
fis-85	121	6	by	by	ADP
fis-85	121	7	preminimizing	preminimize	VERB
fis-85	121	8	(u	(u	NUM
fis-85	121	9	,	,	PUNCT
fis-85	121	10	a	a	DET
fis-85	121	11	,	,	PUNCT
fis-85	121	12	x(2	x(2	PROPN
fis-85	121	13	)	)	PUNCT
fis-85	121	14	)	)	PUNCT
fis-85	121	15	with	with	ADP
fis-85	121	16	respect	respect	NOUN
fis-85	121	17	to	to	ADP
fis-85	121	18	u	u	NOUN
fis-85	121	19	(	(	PUNCT
fis-85	121	20	that	that	PRON
fis-85	121	21	gives	give	VERB
fis-85	121	22	u	u	NOUN
fis-85	121	23	°	°	NOUN
fis-85	121	24	=u	=u	NOUN
fis-85	121	25	x(2)/l	x(2)/l	PRON
fis-85	121	26	)	)	PUNCT
fis-85	121	27	and	and	CCONJ
fis-85	121	28	substituting	substitute	VERB
fis-85	121	29	u	u	NOUN
fis-85	121	30	°	°	NOUN
fis-85	121	31	for	for	ADP
fis-85	121	32	u	u	PROPN
fis-85	121	33	in	in	ADP
fis-85	121	34	the	the	DET
fis-85	121	35	energy	energy	NOUN
fis-85	121	36	:	:	PUNCT
fis-85	121	37			NOUN
fis-85	121	38			PROPN
fis-85	121	39	2	2	NUM
fis-85	121	40	2	2	NUM
fis-85	121	41	c	c	NOUN
fis-85	121	42	1	1	NUM
fis-85	121	43	/	/	SYM
fis-85	121	44	2	2	NUM
fis-85	121	45	ea	ea	NOUN
fis-85	121	46	u	u	PROPN
fis-85	121	47	/	/	SYM
fis-85	121	48	l	l	NOUN
fis-85	121	49	a	a	X
fis-85	121	50	=	=	SYM
fis-85	121	51	0	0	NUM
fis-85	121	52	e	e	NOUN
fis-85	121	53	(	(	PUNCT
fis-85	121	54	a	a	X
fis-85	121	55	)	)	PUNCT
fis-85	121	56	e	e	NOUN
fis-85	121	57	(	(	PUNCT
fis-85	121	58	u	u	NOUN
fis-85	121	59	u	u	PROPN
fis-85	121	60	,	,	PUNCT
fis-85	121	61	a	a	PRON
fis-85	121	62	,	,	PUNCT
fis-85	121	63	x	x	NOUN
fis-85	121	64	2	2	X
fis-85	121	65	)	)	PUNCT
fis-85	121	66	1	1	NUM
fis-85	121	67	/	/	SYM
fis-85	121	68	2	2	NUM
fis-85	121	69	ea	ea	PROPN
fis-85	121	70	/	/	SYM
fis-85	121	71	l	l	NOUN
fis-85	121	72	(	(	PUNCT
fis-85	121	73	u	u	NOUN
fis-85	121	74	a	a	NOUN
fis-85	121	75	)	)	PUNCT
fis-85	122	1	+	+	ADP
fis-85	122	2	g	g	PROPN
fis-85	122	3	a	a	DET
fis-85	122	4	0	0	NUM
fis-85	122	5	a	a	DET
fis-85	122	6	0	0	NUM
fis-85	122	7			NOUN
fis-85	123	1			NUM
fis-85	124	1			NUM
fis-85	124	2			NOUN
fis-85	124	3			PROPN
fis-85	124	4			PROPN
fis-85	124	5			PROPN
fis-85	124	6			PRON
fis-85	124	7			PRON
fis-85	124	8	that	that	PRON
fis-85	124	9	is	be	AUX
fis-85	124	10	actually	actually	ADV
fis-85	124	11	idependent	idependent	NOUN
fis-85	124	12	of	of	ADP
fis-85	124	13	x(2	x(2	PROPN
fis-85	124	14	)	)	PUNCT
fis-85	124	15	.	.	PUNCT
fis-85	125	1	to	to	PART
fis-85	125	2	make	make	VERB
fis-85	125	3	the	the	DET
fis-85	125	4	node	node	ADJ
fis-85	125	5	movements	movement	NOUN
fis-85	125	6	worthwile	worthwile	ADJ
fis-85	125	7	we	we	PRON
fis-85	125	8	consider	consider	VERB
fis-85	125	9	that	that	SCONJ
fis-85	125	10	the	the	DET
fis-85	125	11	bar	bar	NOUN
fis-85	125	12	is	be	AUX
fis-85	125	13	weackened	weackene	VERB
fis-85	125	14	at	at	ADP
fis-85	125	15	x=0.366l	x=0.366l	PROPN
fis-85	125	16	(	(	PUNCT
fis-85	125	17	fig	fig	NOUN
fis-85	125	18	.	.	PUNCT
fis-85	126	1	5	5	NUM
fis-85	126	2	)	)	PUNCT
fis-85	126	3	,	,	PUNCT
fis-85	126	4	that	that	PRON
fis-85	126	5	is	be	AUX
fis-85	126	6	the	the	DET
fis-85	126	7	thoughness	thoughness	NOUN
fis-85	126	8	gc	gc	PROPN
fis-85	126	9	is	be	AUX
fis-85	126	10	not	not	PART
fis-85	126	11	homogeneous	homogeneous	ADJ
fis-85	126	12	and	and	CCONJ
fis-85	126	13	has	have	VERB
fis-85	126	14	a	a	DET
fis-85	126	15	minimum	minimum	NOUN
fis-85	126	16	at	at	ADP
fis-85	126	17	x=0.366l	x=0.366l	PROPN
fis-85	126	18	.	.	PUNCT
fis-85	127	1	the	the	DET
fis-85	127	2	bar	bar	NOUN
fis-85	127	3	is	be	AUX
fis-85	127	4	discretized	discretize	VERB
fis-85	127	5	into	into	ADP
fis-85	127	6	10	10	NUM
fis-85	127	7	elements	element	NOUN
fis-85	127	8	in	in	ADP
fis-85	127	9	such	such	DET
fis-85	127	10	a	a	DET
fis-85	127	11	way	way	NOUN
fis-85	127	12	that	that	SCONJ
fis-85	127	13	there	there	PRON
fis-85	127	14	is	be	VERB
fis-85	127	15	no	no	DET
fis-85	127	16	node	node	NOUN
fis-85	127	17	at	at	ADP
fis-85	127	18	the	the	DET
fis-85	127	19	weackest	weack	ADJ
fis-85	127	20	point	point	NOUN
fis-85	127	21	.	.	PUNCT
fis-85	128	1	the	the	DET
fis-85	128	2	energy	energy	NOUN
fis-85	128	3	is	be	AUX
fis-85	128	4	then	then	ADV
fis-85	128	5	a	a	DET
fis-85	128	6	function	function	NOUN
fis-85	128	7	of	of	ADP
fis-85	128	8	27	27	NUM
fis-85	128	9	variables	variable	NOUN
fis-85	128	10	:	:	PUNCT
fis-85	128	11	9	9	NUM
fis-85	128	12	node	node	NOUN
fis-85	128	13	displacements	displacement	NOUN
fis-85	128	14	,	,	PUNCT
fis-85	128	15	9	9	NUM
fis-85	128	16	displacement	displacement	NOUN
fis-85	128	17	jumps	jump	VERB
fis-85	128	18	,	,	PUNCT
fis-85	128	19	9	9	NUM
fis-85	128	20	node	node	NOUN
fis-85	128	21	positions	position	NOUN
fis-85	128	22	:	:	PUNCT
fis-85	128	23	{	{	PUNCT
fis-85	128	24	u(i	u(i	NOUN
fis-85	128	25	)	)	PUNCT
fis-85	128	26	,	,	PUNCT
fis-85	128	27	a(i	a(i	PROPN
fis-85	128	28	)	)	PUNCT
fis-85	128	29	,	,	PUNCT
fis-85	128	30	x(i	x(i	PROPN
fis-85	128	31	)	)	PUNCT
fis-85	128	32	}	}	PUNCT
fis-85	128	33	,	,	PUNCT
fis-85	128	34	i=2,	i=2,	PROPN
fis-85	128	35	...	...	NOUN
fis-85	128	36	,10	,10	PUNCT
fis-85	128	37	.	.	PUNCT
fis-85	129	1	a	a	DET
fis-85	129	2	value	value	NOUN
fis-85	129	3	of	of	ADP
fis-85	129	4	the	the	DET
fis-85	129	5	displacement	displacement	ADJ
fis-85	129	6	u	u	NOUN
fis-85	129	7	,	,	PUNCT
fis-85	129	8	large	large	ADJ
fis-85	129	9	enough	enough	ADV
fis-85	129	10	to	to	PART
fis-85	129	11	have	have	VERB
fis-85	129	12	gc<1/2ea	gc<1/2ea	NOUN
fis-85	129	13	/	/	SYM
fis-85	129	14	l	l	NOUN
fis-85	129	15	u2	u2	NOUN
fis-85	129	16	,	,	PUNCT
fis-85	129	17	is	be	AUX
fis-85	129	18	assigned	assign	VERB
fis-85	129	19	and	and	CCONJ
fis-85	129	20	the	the	DET
fis-85	129	21	minimum	minimum	ADJ
fis-85	129	22	state	state	NOUN
fis-85	129	23	is	be	AUX
fis-85	129	24	searched	search	VERB
fis-85	129	25	with	with	ADP
fis-85	129	26	a	a	DET
fis-85	129	27	descent	descent	NOUN
fis-85	129	28	method	method	NOUN
fis-85	129	29	using	use	VERB
fis-85	129	30	as	as	ADP
fis-85	129	31	starting	start	VERB
fis-85	129	32	state	state	NOUN
fis-85	129	33	the	the	DET
fis-85	129	34	displacement	displacement	ADJ
fis-85	129	35	field	field	NOUN
fis-85	129	36	depicted	depict	VERB
fis-85	129	37	in	in	ADP
fis-85	129	38	fig	fig	NOUN
fis-85	129	39	.	.	PUNCT
fis-85	130	1	6a	6a	NOUN
fis-85	130	2	.	.	PUNCT
fis-85	131	1	figure	figure	NOUN
fis-85	131	2	5	5	NUM
fis-85	131	3	:	:	PUNCT
fis-85	131	4	weackened	weackene	VERB
fis-85	131	5	1d	1d	NUM
fis-85	131	6	bar	bar	NOUN
fis-85	131	7	:	:	PUNCT
fis-85	131	8	fe	fe	X
fis-85	131	9	discretization	discretization	NOUN
fis-85	131	10	.	.	PUNCT
fis-85	132	1	(	(	PUNCT
fis-85	132	2	a	a	X
fis-85	132	3	)	)	PUNCT
fis-85	132	4	(	(	PUNCT
fis-85	132	5	b	b	X
fis-85	132	6	)	)	PUNCT
fis-85	132	7	(	(	PUNCT
fis-85	132	8	c	c	X
fis-85	132	9	)	)	PUNCT
fis-85	132	10	figure	figure	NOUN
fis-85	132	11	6	6	NUM
fis-85	132	12	:	:	SYM
fis-85	132	13	three	three	NUM
fis-85	132	14	snapshots	snapshot	NOUN
fis-85	132	15	of	of	ADP
fis-85	132	16	the	the	DET
fis-85	132	17	evolution	evolution	NOUN
fis-85	132	18	of	of	ADP
fis-85	132	19	the	the	DET
fis-85	132	20	displacement	displacement	ADJ
fis-85	132	21	u	u	NOUN
fis-85	132	22	and	and	CCONJ
fis-85	132	23	of	of	ADP
fis-85	132	24	the	the	DET
fis-85	132	25	node	node	ADJ
fis-85	132	26	positions	position	NOUN
fis-85	132	27	a(i	a(i	VERB
fis-85	132	28	)	)	PUNCT
fis-85	132	29	,	,	PUNCT
fis-85	132	30	from	from	ADP
fis-85	132	31	starting	start	VERB
fis-85	132	32	point	point	NOUN
fis-85	132	33	to	to	ADP
fis-85	132	34	convergence	convergence	NOUN
fis-85	132	35	(	(	PUNCT
fis-85	132	36	diplacement	diplacement	NOUN
fis-85	132	37	is	be	AUX
fis-85	132	38	represented	represent	VERB
fis-85	132	39	along	along	ADP
fis-85	132	40	the	the	DET
fis-85	132	41	vertical	vertical	ADJ
fis-85	132	42	axis	axis	NOUN
fis-85	132	43	)	)	PUNCT
fis-85	132	44	.	.	PUNCT
fis-85	133	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	133	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	133	3	m.	m.	NOUN
fis-85	133	4	angelillo	angelillo	VERB
fis-85	133	5	et	et	PROPN
fis-85	133	6	alii	alii	PROPN
fis-85	133	7	,	,	PUNCT
fis-85	133	8	frattura	frattura	PROPN
fis-85	133	9	ed	ed	PROPN
fis-85	133	10	integrità	integrità	PROPN
fis-85	133	11	strutturale	strutturale	PROPN
fis-85	133	12	,	,	PUNCT
fis-85	133	13	12	12	NUM
fis-85	133	14	(	(	PUNCT
fis-85	133	15	2010	2010	NUM
fis-85	133	16	)	)	PUNCT
fis-85	133	17	63	63	NUM
fis-85	133	18	-	-	SYM
fis-85	133	19	78	78	NUM
fis-85	133	20	;	;	PUNCT
fis-85	133	21	doi	doi	NOUN
fis-85	133	22	:	:	PUNCT
fis-85	133	23	10.3221	10.3221	NUM
fis-85	133	24	/	/	SYM
fis-85	133	25	igf	igf	PROPN
fis-85	133	26	-	-	ADJ
fis-85	133	27	esis.12.07	esis.12.07	ADJ
fis-85	133	28	69	69	NUM
fis-85	133	29	through	through	ADP
fis-85	133	30	descent	descent	NOUN
fis-85	133	31	the	the	DET
fis-85	133	32	system	system	NOUN
fis-85	133	33	evolves	evolve	VERB
fis-85	133	34	toward	toward	ADP
fis-85	133	35	the	the	DET
fis-85	133	36	minimum	minimum	NOUN
fis-85	133	37	as	as	ADP
fis-85	133	38	showni	showni	NOUN
fis-85	133	39	in	in	ADP
fis-85	133	40	fig	fig	NOUN
fis-85	133	41	.	.	PUNCT
fis-85	134	1	6	6	NUM
fis-85	134	2	.	.	PUNCT
fis-85	134	3	the	the	DET
fis-85	134	4	evolution	evolution	NOUN
fis-85	134	5	of	of	ADP
fis-85	134	6	the	the	DET
fis-85	134	7	domain	domain	NOUN
fis-85	134	8	and	and	CCONJ
fis-85	134	9	of	of	ADP
fis-85	134	10	the	the	DET
fis-85	134	11	node	node	ADJ
fis-85	134	12	positions	position	NOUN
fis-85	134	13	at	at	ADP
fis-85	134	14	five	five	NUM
fis-85	134	15	steps	step	NOUN
fis-85	134	16	of	of	ADP
fis-85	134	17	the	the	DET
fis-85	134	18	evolution	evolution	NOUN
fis-85	134	19	is	be	AUX
fis-85	134	20	depicted	depict	VERB
fis-85	134	21	in	in	ADP
fis-85	134	22	fig	fig	NOUN
fis-85	134	23	.	.	PUNCT
fis-85	135	1	7	7	X
fis-85	135	2	.	.	X
fis-85	135	3	in	in	ADP
fis-85	135	4	particular	particular	ADJ
fis-85	135	5	in	in	ADP
fis-85	135	6	fig	fig	NOUN
fis-85	135	7	.	.	PUNCT
fis-85	136	1	7	7	NUM
fis-85	136	2	it	it	PRON
fis-85	136	3	can	can	AUX
fis-85	136	4	be	be	AUX
fis-85	136	5	seen	see	VERB
fis-85	136	6	how	how	SCONJ
fis-85	136	7	node	node	ADJ
fis-85	136	8	5	5	NUM
fis-85	136	9	moves	move	NOUN
fis-85	136	10	from	from	ADP
fis-85	136	11	the	the	DET
fis-85	136	12	original	original	ADJ
fis-85	136	13	position	position	NOUN
fis-85	136	14	to	to	ADP
fis-85	136	15	the	the	DET
fis-85	136	16	“	"	PUNCT
fis-85	136	17	weackest	weackest	ADJ
fis-85	136	18	point	point	NOUN
fis-85	136	19	”	"	PUNCT
fis-85	136	20	by	by	ADP
fis-85	136	21	creating	create	VERB
fis-85	136	22	an	an	DET
fis-85	136	23	interface	interface	NOUN
fis-85	136	24	at	at	ADP
fis-85	136	25	x=0.366l	x=0.366l	PROPN
fis-85	136	26	.	.	PUNCT
fis-85	137	1	figure	figure	VERB
fis-85	137	2	7	7	NUM
fis-85	137	3	:	:	SYM
fis-85	137	4	five	five	NUM
fis-85	137	5	snapshots	snapshot	NOUN
fis-85	137	6	of	of	ADP
fis-85	137	7	the	the	DET
fis-85	137	8	evolution	evolution	NOUN
fis-85	137	9	of	of	ADP
fis-85	137	10	the	the	DET
fis-85	137	11	domain	domain	NOUN
fis-85	137	12	from	from	ADP
fis-85	137	13	original	original	ADJ
fis-85	137	14	domain	domain	NOUN
fis-85	137	15	to	to	PART
fis-85	137	16	convergence	convergence	NOUN
fis-85	137	17	.	.	PUNCT
fis-85	138	1	validation	validation	NOUN
fis-85	138	2	with	with	ADP
fis-85	138	3	classical	classical	ADJ
fis-85	138	4	linear	linear	ADJ
fis-85	138	5	fracture	fracture	NOUN
fis-85	138	6	mechanics	mechanic	NOUN
fis-85	138	7	(	(	PUNCT
fis-85	138	8	clfm	clfm	PROPN
fis-85	138	9	):	):	PUNCT
fis-85	138	10	propagation	propagation	NOUN
fis-85	138	11	of	of	ADP
fis-85	138	12	a	a	DET
fis-85	138	13	straight	straight	ADJ
fis-85	138	14	crack	crack	NOUN
fis-85	138	15	in	in	ADP
fis-85	138	16	mode	mode	NOUN
fis-85	138	17	i	i	PRON
fis-85	138	18	oving	ove	VERB
fis-85	138	19	from	from	ADP
fis-85	138	20	1d	1d	NUM
fis-85	138	21	to	to	ADP
fis-85	138	22	2d	2d	NUM
fis-85	138	23	we	we	PRON
fis-85	138	24	enter	enter	VERB
fis-85	138	25	a	a	DET
fis-85	138	26	much	much	ADV
fis-85	138	27	more	more	ADV
fis-85	138	28	complex	complex	ADJ
fis-85	138	29	world	world	NOUN
fis-85	138	30	.	.	PUNCT
fis-85	139	1	the	the	DET
fis-85	139	2	ability	ability	NOUN
fis-85	139	3	of	of	ADP
fis-85	139	4	the	the	DET
fis-85	139	5	method	method	NOUN
fis-85	139	6	to	to	PART
fis-85	139	7	mimic	mimic	VERB
fis-85	139	8	the	the	DET
fis-85	139	9	onset	onset	NOUN
fis-85	139	10	of	of	ADP
fis-85	139	11	cracks	crack	NOUN
fis-85	139	12	in	in	ADP
fis-85	139	13	brittle	brittle	ADJ
fis-85	139	14	materials	material	NOUN
fis-85	139	15	in	in	ADP
fis-85	139	16	2d	2d	NUM
fis-85	139	17	becomes	become	VERB
fis-85	139	18	a	a	DET
fis-85	139	19	difficult	difficult	ADJ
fis-85	139	20	problem	problem	NOUN
fis-85	139	21	of	of	ADP
fis-85	139	22	approximation	approximation	NOUN
fis-85	139	23	of	of	ADP
fis-85	139	24	the	the	DET
fis-85	139	25	real	real	ADJ
fis-85	139	26	quasi	quasi	ADJ
fis-85	139	27	-	-	ADJ
fis-85	139	28	static	static	ADJ
fis-85	139	29	trajectory	trajectory	NOUN
fis-85	139	30	of	of	ADP
fis-85	139	31	the	the	DET
fis-85	139	32	system	system	NOUN
fis-85	139	33	with	with	ADP
fis-85	139	34	a	a	DET
fis-85	139	35	step	step	NOUN
fis-85	139	36	-	-	PUNCT
fis-85	139	37	wise	wise	ADJ
fis-85	139	38	sequence	sequence	NOUN
fis-85	139	39	of	of	ADP
fis-85	139	40	states	state	NOUN
fis-85	139	41	,	,	PUNCT
fis-85	139	42	and	and	CCONJ
fis-85	139	43	depends	depend	VERB
fis-85	139	44	on	on	ADP
fis-85	139	45	a	a	DET
fis-85	139	46	sensible	sensible	ADJ
fis-85	139	47	choice	choice	NOUN
fis-85	139	48	of	of	ADP
fis-85	139	49	the	the	DET
fis-85	139	50	parameters	parameter	NOUN
fis-85	139	51			PROPN
fis-85	139	52	°	°	PROPN
fis-85	139	53	,	,	PUNCT
fis-85	139	54			NOUN
fis-85	139	55	°	°	NOUN
fis-85	139	56	.	.	PUNCT
fis-85	140	1	such	such	ADJ
fis-85	140	2	parameters	parameter	NOUN
fis-85	140	3	are	be	AUX
fis-85	140	4	mesh	mesh	NOUN
fis-85	140	5	dependent	dependent	ADJ
fis-85	140	6	,	,	PUNCT
fis-85	140	7	in	in	ADP
fis-85	140	8	the	the	DET
fis-85	140	9	sense	sense	NOUN
fis-85	140	10	that	that	PRON
fis-85	140	11	must	must	AUX
fis-85	140	12	be	be	AUX
fis-85	140	13	tuned	tune	VERB
fis-85	140	14	according	accord	VERB
fis-85	140	15	to	to	ADP
fis-85	140	16	the	the	DET
fis-85	140	17	mesh	mesh	NOUN
fis-85	140	18	size	size	NOUN
fis-85	140	19	h	h	NOUN
fis-85	140	20	,	,	PUNCT
fis-85	140	21	in	in	ADP
fis-85	140	22	order	order	NOUN
fis-85	140	23	to	to	PART
fis-85	140	24	make	make	VERB
fis-85	140	25	the	the	DET
fis-85	140	26	approximate	approximate	ADJ
fis-85	140	27	solution	solution	NOUN
fis-85	140	28	mesh	mesh	NOUN
fis-85	140	29	independent	independent	NOUN
fis-85	140	30	.	.	PUNCT
fis-85	141	1	we	we	PRON
fis-85	141	2	must	must	AUX
fis-85	141	3	say	say	VERB
fis-85	141	4	that	that	SCONJ
fis-85	141	5	the	the	DET
fis-85	141	6	story	story	NOUN
fis-85	141	7	of	of	ADP
fis-85	141	8	our	our	PRON
fis-85	141	9	“	"	PUNCT
fis-85	141	10	battle	battle	NOUN
fis-85	141	11	”	"	PUNCT
fis-85	141	12	to	to	PART
fis-85	141	13	obtain	obtain	VERB
fis-85	141	14	sound	sound	ADJ
fis-85	141	15	numerical	numerical	ADJ
fis-85	141	16	results	result	NOUN
fis-85	141	17	from	from	ADP
fis-85	141	18	our	our	PRON
fis-85	141	19	experiments	experiment	NOUN
fis-85	141	20	on	on	ADP
fis-85	141	21	fracture	fracture	PROPN
fis-85	141	22	simulation	simulation	NOUN
fis-85	141	23	is	be	AUX
fis-85	141	24	full	full	ADJ
fis-85	141	25	of	of	ADP
fis-85	141	26	“	"	PUNCT
fis-85	141	27	casualties	casualty	NOUN
fis-85	141	28	”	"	PUNCT
fis-85	141	29	.	.	PUNCT
fis-85	142	1	in	in	ADP
fis-85	142	2	scientific	scientific	ADJ
fis-85	142	3	papers	paper	NOUN
fis-85	142	4	most	most	ADV
fis-85	142	5	often	often	ADV
fis-85	142	6	appears	appear	VERB
fis-85	142	7	that	that	SCONJ
fis-85	142	8	the	the	DET
fis-85	142	9	proposed	propose	VERB
fis-85	142	10	numerical	numerical	ADJ
fis-85	142	11	models	model	NOUN
fis-85	142	12	are	be	AUX
fis-85	142	13	good	good	ADJ
fis-85	142	14	enough	enough	ADV
fis-85	142	15	to	to	PART
fis-85	142	16	catch	catch	VERB
fis-85	142	17	the	the	DET
fis-85	142	18	essence	essence	NOUN
fis-85	142	19	of	of	ADP
fis-85	142	20	the	the	DET
fis-85	142	21	problems	problem	NOUN
fis-85	142	22	at	at	ADP
fis-85	142	23	hand	hand	NOUN
fis-85	142	24	,	,	PUNCT
fis-85	142	25	but	but	CCONJ
fis-85	142	26	there	there	PRON
fis-85	142	27	are	be	VERB
fis-85	142	28	scant	scant	ADJ
fis-85	142	29	of	of	ADP
fis-85	142	30	no	no	DET
fis-85	142	31	reports	report	NOUN
fis-85	142	32	on	on	ADP
fis-85	142	33	the	the	DET
fis-85	142	34	endless	endless	ADJ
fis-85	142	35	numbers	number	NOUN
fis-85	142	36	of	of	ADP
fis-85	142	37	failures	failure	NOUN
fis-85	142	38	.	.	PUNCT
fis-85	143	1	actually	actually	ADV
fis-85	143	2	no	no	DET
fis-85	143	3	one	one	NOUN
fis-85	143	4	is	be	AUX
fis-85	143	5	interested	interested	ADJ
fis-85	143	6	in	in	ADP
fis-85	143	7	a	a	DET
fis-85	143	8	bunch	bunch	NOUN
fis-85	143	9	of	of	ADP
fis-85	143	10	meaningless	meaningless	ADJ
fis-85	143	11	,	,	PUNCT
fis-85	143	12	junk	junk	NOUN
fis-85	143	13	results	result	NOUN
fis-85	143	14	and	and	CCONJ
fis-85	143	15	we	we	PRON
fis-85	143	16	do	do	AUX
fis-85	143	17	not	not	PART
fis-85	143	18	want	want	VERB
fis-85	143	19	to	to	PART
fis-85	143	20	change	change	VERB
fis-85	143	21	this	this	DET
fis-85	143	22	tradition	tradition	NOUN
fis-85	143	23	.	.	PUNCT
fis-85	144	1	here	here	ADV
fis-85	144	2	we	we	PRON
fis-85	144	3	want	want	VERB
fis-85	144	4	just	just	ADV
fis-85	144	5	to	to	PART
fis-85	144	6	emphasize	emphasize	VERB
fis-85	144	7	that	that	PRON
fis-85	144	8	,	,	PUNCT
fis-85	144	9	except	except	SCONJ
fis-85	144	10	from	from	ADP
fis-85	144	11	very	very	ADV
fis-85	144	12	large	large	ADJ
fis-85	144	13	and	and	CCONJ
fis-85	144	14	trivial	trivial	ADJ
fis-85	144	15	bounds	bound	NOUN
fis-85	144	16	,	,	PUNCT
fis-85	144	17	we	we	PRON
fis-85	144	18	were	be	AUX
fis-85	144	19	not	not	PART
fis-85	144	20	able	able	ADJ
fis-85	144	21	to	to	PART
fis-85	144	22	identify	identify	VERB
fis-85	144	23	any	any	DET
fis-85	144	24	simple	simple	ADJ
fis-85	144	25	rule	rule	NOUN
fis-85	144	26	for	for	ADP
fis-85	144	27	the	the	DET
fis-85	144	28	choice	choice	NOUN
fis-85	144	29	of	of	ADP
fis-85	144	30	the	the	DET
fis-85	144	31	parameters	parameter	NOUN
fis-85	144	32			PROPN
fis-85	144	33	°	°	PROPN
fis-85	144	34	,	,	PUNCT
fis-85	144	35			NOUN
fis-85	144	36	°	°	PROPN
fis-85	144	37	,	,	PUNCT
fis-85	144	38	that	that	PRON
fis-85	144	39	up	up	ADP
fis-85	144	40	to	to	ADP
fis-85	144	41	now	now	ADV
fis-85	144	42	has	have	AUX
fis-85	144	43	proceeded	proceed	VERB
fis-85	144	44	in	in	ADP
fis-85	144	45	a	a	DET
fis-85	144	46	case	case	NOUN
fis-85	144	47	by	by	ADP
fis-85	144	48	case	case	NOUN
fis-85	144	49	fashion	fashion	NOUN
fis-85	144	50	.	.	PUNCT
fis-85	145	1	in	in	ADP
fis-85	145	2	our	our	PRON
fis-85	145	3	effort	effort	NOUN
fis-85	145	4	to	to	PART
fis-85	145	5	establish	establish	VERB
fis-85	145	6	the	the	DET
fis-85	145	7	ability	ability	NOUN
fis-85	145	8	of	of	ADP
fis-85	145	9	simulating	simulate	VERB
fis-85	145	10	crack	crack	NOUN
fis-85	145	11	nucleation	nucleation	NOUN
fis-85	145	12	and	and	CCONJ
fis-85	145	13	propagation	propagation	NOUN
fis-85	145	14	in	in	ADP
fis-85	145	15	2d	2d	NUM
fis-85	145	16	brittle	brittle	ADJ
fis-85	145	17	solids	solid	NOUN
fis-85	145	18	by	by	ADP
fis-85	145	19	adopting	adopt	VERB
fis-85	145	20	a	a	DET
fis-85	145	21	numerical	numerical	ADJ
fis-85	145	22	model	model	NOUN
fis-85	145	23	based	base	VERB
fis-85	145	24	on	on	ADP
fis-85	145	25	variational	variational	ADJ
fis-85	145	26	fracture	fracture	NOUN
fis-85	145	27	,	,	PUNCT
fis-85	145	28	the	the	DET
fis-85	145	29	first	first	ADJ
fis-85	145	30	attempt	attempt	NOUN
fis-85	145	31	has	have	AUX
fis-85	145	32	been	be	AUX
fis-85	145	33	to	to	PART
fis-85	145	34	verify	verify	VERB
fis-85	145	35	the	the	DET
fis-85	145	36	capacity	capacity	NOUN
fis-85	145	37	to	to	PART
fis-85	145	38	reproduce	reproduce	VERB
fis-85	145	39	the	the	DET
fis-85	145	40	results	result	NOUN
fis-85	145	41	of	of	ADP
fis-85	145	42	clfm	clfm	NOUN
fis-85	145	43	in	in	ADP
fis-85	145	44	cases	case	NOUN
fis-85	145	45	in	in	ADP
fis-85	145	46	which	which	PRON
fis-85	145	47	the	the	DET
fis-85	145	48	transition	transition	NOUN
fis-85	145	49	to	to	ADP
fis-85	145	50	fracture	fracture	PROPN
fis-85	145	51	occurs	occur	VERB
fis-85	145	52	through	through	ADP
fis-85	145	53	stationary	stationary	ADJ
fis-85	145	54	states	state	NOUN
fis-85	145	55	of	of	ADP
fis-85	145	56	the	the	DET
fis-85	145	57	system	system	NOUN
fis-85	145	58	.	.	PUNCT
fis-85	146	1	such	such	ADJ
fis-85	146	2	is	be	AUX
fis-85	146	3	the	the	DET
fis-85	146	4	case	case	NOUN
fis-85	146	5	of	of	ADP
fis-85	146	6	the	the	DET
fis-85	146	7	propagation	propagation	NOUN
fis-85	146	8	of	of	ADP
fis-85	146	9	a	a	DET
fis-85	146	10	straight	straight	ADJ
fis-85	146	11	crack	crack	NOUN
fis-85	146	12	in	in	ADP
fis-85	146	13	mode	mode	PROPN
fis-85	146	14	i	i	PRON
fis-85	146	15	,	,	PUNCT
fis-85	146	16	into	into	ADP
fis-85	146	17	a	a	DET
fis-85	146	18	strip	strip	NOUN
fis-85	146	19	of	of	ADP
fis-85	146	20	homogeneous	homogeneous	ADJ
fis-85	146	21	,	,	PUNCT
fis-85	146	22	isotropic	isotropic	NOUN
fis-85	146	23	,	,	PUNCT
fis-85	146	24	linearly	linearly	ADV
fis-85	146	25	elastic	elastic	ADJ
fis-85	146	26	material	material	NOUN
fis-85	146	27	.	.	PUNCT
fis-85	147	1	the	the	DET
fis-85	147	2	geometry	geometry	NOUN
fis-85	147	3	of	of	ADP
fis-85	147	4	the	the	DET
fis-85	147	5	problem	problem	NOUN
fis-85	147	6	and	and	CCONJ
fis-85	147	7	the	the	DET
fis-85	147	8	main	main	ADJ
fis-85	147	9	notation	notation	NOUN
fis-85	147	10	is	be	AUX
fis-85	147	11	reported	report	VERB
fis-85	147	12	in	in	ADP
fis-85	147	13	fig	fig	NOUN
fis-85	147	14	.	.	PUNCT
fis-85	148	1	8	8	X
fis-85	148	2	.	.	X
fis-85	148	3	figure	figure	NOUN
fis-85	148	4	8	8	NUM
fis-85	148	5	:	:	PUNCT
fis-85	148	6	plane	plane	NOUN
fis-85	148	7	strip	strip	NOUN
fis-85	148	8	with	with	ADP
fis-85	148	9	a	a	DET
fis-85	148	10	straight	straight	ADJ
fis-85	148	11	crack	crack	NOUN
fis-85	148	12	in	in	ADP
fis-85	148	13	mode	mode	PROPN
fis-85	148	14	i	i	NOUN
fis-85	148	15	,	,	PUNCT
fis-85	148	16	hard	hard	ADJ
fis-85	148	17	device	device	NOUN
fis-85	148	18	.	.	PUNCT
fis-85	149	1	the	the	DET
fis-85	149	2	boxed	boxed	ADJ
fis-85	149	3	area	area	NOUN
fis-85	149	4	is	be	AUX
fis-85	149	5	the	the	DET
fis-85	149	6	square	square	NOUN
fis-85	149	7	that	that	PRON
fis-85	149	8	is	be	AUX
fis-85	149	9	zoomed	zoom	VERB
fis-85	149	10	in	in	ADP
fis-85	149	11	figure	figure	NOUN
fis-85	149	12	.	.	PUNCT
fis-85	150	1	m	m	PROPN
fis-85	150	2	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	150	3	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	150	4	m.	m.	NOUN
fis-85	150	5	angelillo	angelillo	VERB
fis-85	150	6	et	et	PROPN
fis-85	150	7	alii	alii	PROPN
fis-85	150	8	,	,	PUNCT
fis-85	150	9	frattura	frattura	PROPN
fis-85	150	10	ed	ed	PROPN
fis-85	150	11	integrità	integrità	PROPN
fis-85	150	12	strutturale	strutturale	PROPN
fis-85	150	13	,	,	PUNCT
fis-85	150	14	12	12	NUM
fis-85	150	15	(	(	PUNCT
fis-85	150	16	2010	2010	NUM
fis-85	150	17	)	)	PUNCT
fis-85	150	18	63	63	NUM
fis-85	150	19	-	-	SYM
fis-85	150	20	78	78	NUM
fis-85	150	21	;	;	PUNCT
fis-85	150	22	doi	doi	NOUN
fis-85	150	23	:	:	PUNCT
fis-85	150	24	10.3221	10.3221	NUM
fis-85	150	25	/	/	SYM
fis-85	150	26	igf	igf	PROPN
fis-85	150	27	-	-	ADJ
fis-85	150	28	esis.12.07	esis.12.07	ADJ
fis-85	150	29	70	70	NUM
fis-85	150	30	in	in	ADP
fis-85	150	31	clfm	clfm	NOUN
fis-85	150	32	it	it	PRON
fis-85	150	33	is	be	AUX
fis-85	150	34	assumed	assume	VERB
fis-85	150	35	that	that	SCONJ
fis-85	150	36	the	the	DET
fis-85	150	37	crack	crack	NOUN
fis-85	150	38	propagates	propagate	VERB
fis-85	150	39	along	along	ADP
fis-85	150	40	the	the	DET
fis-85	150	41	line	line	NOUN
fis-85	150	42	x2=0	x2=0	PUNCT
fis-85	150	43	when	when	SCONJ
fis-85	150	44	the	the	DET
fis-85	150	45	given	give	VERB
fis-85	150	46	displacement	displacement	NOUN
fis-85	150	47	u(	u(	PROPN
fis-85	150	48	)	)	PUNCT
fis-85	150	49	reaches	reach	VERB
fis-85	150	50	a	a	DET
fis-85	150	51	critical	critical	ADJ
fis-85	150	52	value	value	NOUN
fis-85	150	53	.	.	PUNCT
fis-85	151	1	this	this	DET
fis-85	151	2	assumption	assumption	NOUN
fis-85	151	3	,	,	PUNCT
fis-85	151	4	largely	largely	ADV
fis-85	151	5	confirmed	confirm	VERB
fis-85	151	6	by	by	ADP
fis-85	151	7	a	a	DET
fis-85	151	8	vast	vast	ADJ
fis-85	151	9	number	number	NOUN
fis-85	151	10	of	of	ADP
fis-85	151	11	experimental	experimental	ADJ
fis-85	151	12	results	result	NOUN
fis-85	151	13	,	,	PUNCT
fis-85	151	14	makes	make	VERB
fis-85	151	15	in	in	ADP
fis-85	151	16	this	this	DET
fis-85	151	17	case	case	NOUN
fis-85	151	18	the	the	DET
fis-85	151	19	question	question	NOUN
fis-85	151	20	not	not	PART
fis-85	151	21	“	"	PUNCT
fis-85	151	22	the	the	DET
fis-85	151	23	how	how	SCONJ
fis-85	151	24	”	"	PUNCT
fis-85	151	25	but	but	CCONJ
fis-85	151	26	“	"	PUNCT
fis-85	151	27	the	the	DET
fis-85	151	28	when	when	SCONJ
fis-85	151	29	”	"	PUNCT
fis-85	151	30	.	.	PUNCT
fis-85	152	1	in	in	ADP
fis-85	152	2	fig	fig	NOUN
fis-85	152	3	.	.	PUNCT
fis-85	153	1	9	9	NUM
fis-85	153	2	the	the	DET
fis-85	153	3	outcome	outcome	NOUN
fis-85	153	4	of	of	ADP
fis-85	153	5	an	an	DET
fis-85	153	6	experimental	experimental	ADJ
fis-85	153	7	test	test	NOUN
fis-85	153	8	on	on	ADP
fis-85	153	9	an	an	DET
fis-85	153	10	isotropic	isotropic	ADJ
fis-85	153	11	polycarbonate	polycarbonate	NOUN
fis-85	153	12	is	be	AUX
fis-85	153	13	reported	report	VERB
fis-85	153	14	into	into	ADP
fis-85	153	15	two	two	NUM
fis-85	153	16	photoelastic	photoelastic	ADJ
fis-85	153	17	images	image	NOUN
fis-85	153	18	,	,	PUNCT
fis-85	153	19	the	the	DET
fis-85	153	20	first	first	ADV
fis-85	153	21	taken	take	VERB
fis-85	153	22	before	before	ADV
fis-85	153	23	and	and	CCONJ
fis-85	153	24	the	the	DET
fis-85	153	25	second	second	ADJ
fis-85	153	26	after	after	ADP
fis-85	153	27	the	the	DET
fis-85	153	28	onset	onset	NOUN
fis-85	153	29	of	of	ADP
fis-85	153	30	the	the	DET
fis-85	153	31	crack	crack	NOUN
fis-85	153	32	.	.	PUNCT
fis-85	154	1	(	(	PUNCT
fis-85	154	2	a	a	X
fis-85	154	3	)	)	PUNCT
fis-85	154	4	(	(	PUNCT
fis-85	154	5	b	b	X
fis-85	154	6	)	)	PUNCT
fis-85	154	7	figure	figure	NOUN
fis-85	154	8	9	9	NUM
fis-85	154	9	:	:	PUNCT
fis-85	154	10	photoelastic	photoelastic	ADJ
fis-85	154	11	images	image	NOUN
fis-85	154	12	for	for	ADP
fis-85	154	13	a	a	DET
fis-85	154	14	straight	straight	ADJ
fis-85	154	15	crack	crack	NOUN
fis-85	154	16	in	in	ADP
fis-85	154	17	mode	mode	NOUN
fis-85	154	18	i.	i.	NOUN
fis-85	154	19	fringe	fringe	NOUN
fis-85	154	20	pattern	pattern	NOUN
fis-85	154	21	before	before	ADP
fis-85	154	22	cracking	crack	VERB
fis-85	154	23	(	(	PUNCT
fis-85	154	24	a	a	NOUN
fis-85	154	25	)	)	PUNCT
fis-85	154	26	and	and	CCONJ
fis-85	154	27	after	after	ADP
fis-85	154	28	cracking	crack	VERB
fis-85	154	29	(	(	PUNCT
fis-85	154	30	b	b	NOUN
fis-85	154	31	)	)	PUNCT
fis-85	154	32	.	.	PUNCT
fis-85	155	1	from	from	ADP
fis-85	155	2	al	al	PROPN
fis-85	155	3	bin	bin	PROPN
fis-85	155	4	mousa	mousa	PROPN
fis-85	156	1	[	[	X
fis-85	156	2	13	13	NUM
fis-85	156	3	]	]	PUNCT
fis-85	156	4	.	.	PUNCT
fis-85	157	1	in	in	ADP
fis-85	157	2	fig	fig	NOUN
fis-85	157	3	.	.	PUNCT
fis-85	157	4	10b	10b	NOUN
fis-85	157	5	the	the	DET
fis-85	157	6	quasi	quasi	ADJ
fis-85	157	7	-	-	ADJ
fis-85	157	8	static	static	ADJ
fis-85	157	9	path	path	NOUN
fis-85	157	10	of	of	ADP
fis-85	157	11	meta	meta	ADJ
fis-85	157	12	-	-	PUNCT
fis-85	157	13	stable	stable	ADJ
fis-85	157	14	states	state	NOUN
fis-85	157	15	(	(	PUNCT
fis-85	157	16	local	local	ADJ
fis-85	157	17	minima	minima	NOUN
fis-85	157	18	of	of	ADP
fis-85	157	19	the	the	DET
fis-85	157	20	energy	energy	NOUN
fis-85	157	21	)	)	PUNCT
fis-85	157	22	followed	follow	VERB
fis-85	157	23	by	by	ADP
fis-85	157	24	the	the	DET
fis-85	157	25	system	system	NOUN
fis-85	157	26	in	in	ADP
fis-85	157	27	the	the	DET
fis-85	157	28	{	{	PUNCT
fis-85	157	29	c	c	PROPN
fis-85	157	30	,	,	PUNCT
fis-85	157	31	u	u	NOUN
fis-85	157	32	}	}	PUNCT
fis-85	157	33	plane	plane	NOUN
fis-85	157	34	,	,	PUNCT
fis-85	157	35	is	be	AUX
fis-85	157	36	represented	represent	VERB
fis-85	157	37	with	with	ADP
fis-85	157	38	a	a	DET
fis-85	157	39	solid	solid	ADJ
fis-85	157	40	line	line	NOUN
fis-85	157	41	.	.	PUNCT
fis-85	158	1	the	the	DET
fis-85	158	2	shaded	shaded	ADJ
fis-85	158	3	line	line	NOUN
fis-85	158	4	represents	represent	VERB
fis-85	158	5	the	the	DET
fis-85	158	6	part	part	NOUN
fis-85	158	7	of	of	ADP
fis-85	158	8	the	the	DET
fis-85	158	9	path	path	NOUN
fis-85	158	10	that	that	PRON
fis-85	158	11	is	be	AUX
fis-85	158	12	made	make	VERB
fis-85	158	13	of	of	ADP
fis-85	158	14	stationary	stationary	ADJ
fis-85	158	15	points	point	NOUN
fis-85	158	16	of	of	ADP
fis-85	158	17	the	the	DET
fis-85	158	18	energy	energy	NOUN
fis-85	158	19	that	that	PRON
fis-85	158	20	are	be	AUX
fis-85	158	21	not	not	PART
fis-85	158	22	local	local	ADJ
fis-85	158	23	minima	minima	NOUN
fis-85	158	24	.	.	PUNCT
fis-85	159	1	the	the	DET
fis-85	159	2	values	value	NOUN
fis-85	159	3	taken	take	VERB
fis-85	159	4	by	by	ADP
fis-85	159	5	the	the	DET
fis-85	159	6	total	total	ADJ
fis-85	159	7	energy	energy	NOUN
fis-85	159	8	and	and	CCONJ
fis-85	159	9	by	by	ADP
fis-85	159	10	the	the	DET
fis-85	159	11	elastic	elastic	ADJ
fis-85	159	12	energy	energy	NOUN
fis-85	159	13	along	along	ADP
fis-85	159	14	the	the	DET
fis-85	159	15	stationary	stationary	ADJ
fis-85	159	16	path	path	NOUN
fis-85	159	17	are	be	AUX
fis-85	159	18	depicted	depict	VERB
fis-85	159	19	in	in	ADP
fis-85	159	20	fig	fig	NOUN
fis-85	159	21	.	.	PUNCT
fis-85	160	1	10a	10a	NOUN
fis-85	160	2	.	.	PUNCT
fis-85	161	1	in	in	ADP
fis-85	161	2	fig	fig	NOUN
fis-85	161	3	.	.	PUNCT
fis-85	162	1	10c	10c	NOUN
fis-85	162	2	the	the	DET
fis-85	162	3	total	total	ADJ
fis-85	162	4	energy	energy	NOUN
fis-85	162	5	at	at	ADP
fis-85	162	6	increasing	increase	VERB
fis-85	162	7	values	value	NOUN
fis-85	162	8	of	of	ADP
fis-85	162	9	the	the	DET
fis-85	162	10	given	give	VERB
fis-85	162	11	displacement	displacement	NOUN
fis-85	162	12	u	u	NOUN
fis-85	162	13	is	be	AUX
fis-85	162	14	reported	report	VERB
fis-85	162	15	as	as	ADP
fis-85	162	16	a	a	DET
fis-85	162	17	function	function	NOUN
fis-85	162	18	of	of	ADP
fis-85	162	19	c.	c.	NOUN
fis-85	162	20	the	the	DET
fis-85	162	21	dots	dot	NOUN
fis-85	162	22	indicate	indicate	VERB
fis-85	162	23	the	the	DET
fis-85	162	24	stationary	stationary	ADJ
fis-85	162	25	points	point	NOUN
fis-85	162	26	of	of	ADP
fis-85	162	27	.	.	PROPN
fis-85	162	28	(	(	PUNCT
fis-85	162	29	a	a	NOUN
fis-85	162	30	)	)	PUNCT
fis-85	162	31	(	(	PUNCT
fis-85	162	32	b	b	X
fis-85	162	33	)	)	PUNCT
fis-85	162	34	(	(	PUNCT
fis-85	162	35	c	c	X
fis-85	162	36	)	)	PUNCT
fis-85	162	37	figure	figure	NOUN
fis-85	162	38	10	10	NUM
fis-85	162	39	:	:	PUNCT
fis-85	162	40	in	in	ADP
fis-85	162	41	(	(	PUNCT
fis-85	162	42	b	b	NOUN
fis-85	162	43	)	)	PUNCT
fis-85	162	44	quasi	quasi	NOUN
fis-85	162	45	static	static	ADJ
fis-85	162	46	evolution	evolution	NOUN
fis-85	162	47	of	of	ADP
fis-85	162	48	the	the	DET
fis-85	162	49	system	system	NOUN
fis-85	162	50	of	of	ADP
fis-85	162	51	fig.8	fig.8	PROPN
fis-85	162	52	in	in	ADP
fis-85	162	53	the	the	DET
fis-85	162	54	plane	plane	NOUN
fis-85	162	55	{	{	PUNCT
fis-85	162	56	c	c	NOUN
fis-85	162	57	,	,	PUNCT
fis-85	162	58	u	u	NOUN
fis-85	162	59	}	}	PUNCT
fis-85	162	60	.	.	PUNCT
fis-85	163	1	solid	solid	ADJ
fis-85	163	2	line	line	NOUN
fis-85	163	3	:	:	PUNCT
fis-85	163	4	metastable	metastable	ADJ
fis-85	163	5	states	state	NOUN
fis-85	163	6	,	,	PUNCT
fis-85	163	7	shaded	shaded	ADJ
fis-85	163	8	line	line	NOUN
fis-85	163	9	:	:	PUNCT
fis-85	163	10	unstable	unstable	ADJ
fis-85	163	11	states	state	NOUN
fis-85	163	12	.	.	PUNCT
fis-85	164	1	in	in	ADP
fis-85	164	2	(	(	PUNCT
fis-85	164	3	a	a	PRON
fis-85	164	4	)	)	PUNCT
fis-85	164	5	total	total	ADJ
fis-85	164	6	energy	energy	NOUN
fis-85	164	7	and	and	CCONJ
fis-85	164	8	elastic	elastic	ADJ
fis-85	164	9	energy	energy	NOUN
fis-85	164	10	along	along	ADP
fis-85	164	11	the	the	DET
fis-85	164	12	path	path	NOUN
fis-85	164	13	of	of	ADP
fis-85	164	14	figure	figure	NOUN
fis-85	164	15	(	(	PUNCT
fis-85	164	16	b	b	NOUN
fis-85	164	17	)	)	PUNCT
fis-85	164	18	.	.	PUNCT
fis-85	165	1	in	in	ADP
fis-85	165	2	(	(	PUNCT
fis-85	165	3	c	c	NOUN
fis-85	165	4	)	)	PUNCT
fis-85	165	5	total	total	ADJ
fis-85	165	6	energy	energy	NOUN
fis-85	165	7	for	for	ADP
fis-85	165	8	increasing	increase	VERB
fis-85	165	9	values	value	NOUN
fis-85	165	10	of	of	ADP
fis-85	165	11	the	the	DET
fis-85	165	12	given	give	VERB
fis-85	165	13	displacement	displacement	ADJ
fis-85	165	14	u	u	NOUN
fis-85	165	15	as	as	ADP
fis-85	165	16	a	a	DET
fis-85	165	17	function	function	NOUN
fis-85	165	18	of	of	ADP
fis-85	165	19	c.	c.	NOUN
fis-85	165	20	the	the	DET
fis-85	165	21	computations	computation	NOUN
fis-85	165	22	have	have	AUX
fis-85	165	23	been	be	AUX
fis-85	165	24	performed	perform	VERB
fis-85	165	25	by	by	ADP
fis-85	165	26	adopting	adopt	VERB
fis-85	165	27	the	the	DET
fis-85	165	28	geometric	geometric	ADJ
fis-85	165	29	and	and	CCONJ
fis-85	165	30	material	material	NOUN
fis-85	165	31	constants	constant	NOUN
fis-85	165	32	reported	report	VERB
fis-85	165	33	in	in	ADP
fis-85	165	34	tab	tab	NOUN
fis-85	165	35	.	.	PUNCT
fis-85	166	1	1	1	NUM
fis-85	166	2	,	,	PUNCT
fis-85	166	3	(	(	PUNCT
fis-85	166	4	for	for	ADP
fis-85	166	5	which	which	PRON
fis-85	166	6	ucr=0.0190	ucr=0.0190	NOUN
fis-85	166	7	and	and	CCONJ
fis-85	166	8	ccrit	ccrit	NOUN
fis-85	166	9	=	=	PUNCT
fis-85	166	10	10.1419	10.1419	NUM
fis-85	166	11	)	)	PUNCT
fis-85	166	12	.	.	PUNCT
fis-85	167	1	the	the	DET
fis-85	167	2	specimen	speciman	NOUN
fis-85	167	3	is	be	AUX
fis-85	167	4	discretized	discretize	VERB
fis-85	167	5	with	with	ADP
fis-85	167	6	a	a	DET
fis-85	167	7	courant	courant	ADJ
fis-85	167	8	triangulation	triangulation	NOUN
fis-85	167	9	which	which	PRON
fis-85	167	10	includes	include	VERB
fis-85	167	11	the	the	DET
fis-85	167	12	axis	axis	NOUN
fis-85	167	13	x1	x1	PROPN
fis-85	167	14	within	within	ADP
fis-85	167	15	the	the	DET
fis-85	167	16	skeleton	skeleton	NOUN
fis-85	167	17	of	of	ADP
fis-85	167	18	the	the	DET
fis-85	167	19	mesh	mesh	NOUN
fis-85	167	20	.	.	PUNCT
fis-85	168	1	in	in	ADP
fis-85	168	2	this	this	DET
fis-85	168	3	way	way	NOUN
fis-85	168	4	we	we	PRON
fis-85	168	5	already	already	ADV
fis-85	168	6	have	have	VERB
fis-85	168	7	the	the	DET
fis-85	168	8	possible	possible	ADJ
fis-85	168	9	“	"	PUNCT
fis-85	168	10	new	new	ADJ
fis-85	168	11	”	"	PUNCT
fis-85	168	12	interface	interface	NOUN
fis-85	168	13	along	along	ADP
fis-85	168	14	x1	x1	PROPN
fis-85	168	15	.	.	PUNCT
fis-85	169	1	height	height	PROPN
fis-85	169	2	length	length	PROPN
fis-85	169	3	thickness	thickness	PROPN
fis-85	169	4	young	young	ADJ
fis-85	169	5	mod	mod	PROPN
fis-85	169	6	.	.	PUNCT
fis-85	170	1	poisson	poisson	PROPN
fis-85	170	2	rat	rat	PROPN
fis-85	170	3	.	.	PROPN
fis-85	170	4	thoughness	thoughness	PROPN
fis-85	170	5	h	h	PROPN
fis-85	170	6	(	(	PUNCT
fis-85	170	7	cm	cm	NOUN
fis-85	170	8	)	)	PUNCT
fis-85	170	9	5l	5l	NOUN
fis-85	170	10	(	(	PUNCT
fis-85	170	11	cm	cm	NOUN
fis-85	170	12	)	)	PUNCT
fis-85	170	13	t	t	PROPN
fis-85	170	14	(	(	PUNCT
fis-85	170	15	cm	cm	NOUN
fis-85	170	16	)	)	PUNCT
fis-85	170	17	e	e	NOUN
fis-85	170	18	(	(	PUNCT
fis-85	170	19	ncm-2	ncm-2	NOUN
fis-85	170	20	)	)	PUNCT
fis-85	170	21			PROPN
fis-85	170	22	gc	gc	PROPN
fis-85	170	23	(	(	PUNCT
fis-85	170	24	ncm-1	ncm-1	X
fis-85	170	25	)	)	PUNCT
fis-85	170	26	1.0	1.0	NUM
fis-85	170	27	15.0	15.0	NUM
fis-85	170	28	1.0	1.0	NUM
fis-85	170	29	3.0	3.0	NUM
fis-85	170	30	105	105	NUM
fis-85	170	31	0.0	0.0	NUM
fis-85	170	32	1.0	1.0	NUM
fis-85	170	33	table1	table1	NOUN
fis-85	170	34	:	:	PUNCT
fis-85	170	35	geometric	geometric	ADJ
fis-85	170	36	and	and	CCONJ
fis-85	170	37	material	material	NOUN
fis-85	170	38	constants	constant	NOUN
fis-85	170	39	.	.	PUNCT
fis-85	171	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	171	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	171	3	m.	m.	NOUN
fis-85	171	4	angelillo	angelillo	VERB
fis-85	171	5	et	et	PROPN
fis-85	171	6	alii	alii	PROPN
fis-85	171	7	,	,	PUNCT
fis-85	171	8	frattura	frattura	PROPN
fis-85	171	9	ed	ed	PROPN
fis-85	171	10	integrità	integrità	PROPN
fis-85	171	11	strutturale	strutturale	PROPN
fis-85	171	12	,	,	PUNCT
fis-85	171	13	12	12	NUM
fis-85	171	14	(	(	PUNCT
fis-85	171	15	2010	2010	NUM
fis-85	171	16	)	)	PUNCT
fis-85	171	17	63	63	NUM
fis-85	171	18	-	-	SYM
fis-85	171	19	78	78	NUM
fis-85	171	20	;	;	PUNCT
fis-85	171	21	doi	doi	NOUN
fis-85	171	22	:	:	PUNCT
fis-85	171	23	10.3221	10.3221	NUM
fis-85	171	24	/	/	SYM
fis-85	171	25	igf	igf	PROPN
fis-85	171	26	-	-	ADJ
fis-85	171	27	esis.12.07	esis.12.07	ADJ
fis-85	171	28	71	71	NUM
fis-85	171	29	the	the	DET
fis-85	171	30	qualitative	qualitative	ADJ
fis-85	171	31	results	result	NOUN
fis-85	171	32	of	of	ADP
fis-85	171	33	our	our	PRON
fis-85	171	34	numerical	numerical	ADJ
fis-85	171	35	simulation	simulation	NOUN
fis-85	171	36	are	be	AUX
fis-85	171	37	reported	report	VERB
fis-85	171	38	in	in	ADP
fis-85	171	39	fig	fig	NOUN
fis-85	171	40	.	.	PUNCT
fis-85	172	1	11	11	NUM
fis-85	172	2	,	,	PUNCT
fis-85	172	3	where	where	SCONJ
fis-85	172	4	12	12	NUM
fis-85	172	5	steps	step	NOUN
fis-85	172	6	of	of	ADP
fis-85	172	7	the	the	DET
fis-85	172	8	discretized	discretized	ADJ
fis-85	172	9	evolution	evolution	NOUN
fis-85	172	10	are	be	AUX
fis-85	172	11	shown	show	VERB
fis-85	172	12	.	.	PUNCT
fis-85	173	1	notice	notice	VERB
fis-85	173	2	that	that	SCONJ
fis-85	173	3	these	these	PRON
fis-85	173	4	are	be	AUX
fis-85	173	5	stable	stable	ADJ
fis-85	173	6	equilibrium	equilibrium	NOUN
fis-85	173	7	states	state	NOUN
fis-85	173	8	of	of	ADP
fis-85	173	9	the	the	DET
fis-85	173	10	system	system	NOUN
fis-85	173	11	,	,	PUNCT
fis-85	173	12	that	that	PRON
fis-85	173	13	is	be	AUX
fis-85	173	14	local	local	ADJ
fis-85	173	15	minima	minima	NOUN
fis-85	173	16	,	,	PUNCT
fis-85	173	17	reached	reach	VERB
fis-85	173	18	through	through	ADP
fis-85	173	19	our	our	PRON
fis-85	173	20	descent	descent	NOUN
fis-85	173	21	minimization	minimization	NOUN
fis-85	173	22	algorithm	algorithm	NOUN
fis-85	173	23	at	at	ADP
fis-85	173	24	twelve	twelve	NUM
fis-85	173	25	values	value	NOUN
fis-85	173	26	of	of	ADP
fis-85	173	27	the	the	DET
fis-85	173	28	imposed	impose	VERB
fis-85	173	29	displacement	displacement	NOUN
fis-85	173	30	(	(	PUNCT
fis-85	173	31	u=0.00,0.005,0.010,0.015,	u=0.00,0.005,0.010,0.015,	ADJ
fis-85	173	32	…	…	PUNCT
fis-85	173	33	,0.065	,0.065	NUM
fis-85	173	34	)	)	PUNCT
fis-85	173	35	.	.	PUNCT
fis-85	174	1	figure	figure	VERB
fis-85	174	2	11	11	NUM
fis-85	174	3	:	:	PUNCT
fis-85	174	4	evolution	evolution	NOUN
fis-85	174	5	of	of	ADP
fis-85	174	6	the	the	DET
fis-85	174	7	strip	strip	NOUN
fis-85	174	8	geometry	geometry	NOUN
fis-85	174	9	and	and	CCONJ
fis-85	174	10	mesh	mesh	NOUN
fis-85	174	11	for	for	ADP
fis-85	174	12	u=0.00	u=0.00	NOUN
fis-85	174	13	,	,	PUNCT
fis-85	174	14	0.005	0.005	NUM
fis-85	174	15	,	,	PUNCT
fis-85	174	16	0.010	0.010	NUM
fis-85	174	17	,	,	PUNCT
fis-85	174	18	0.015	0.015	NUM
fis-85	174	19	,	,	PUNCT
fis-85	174	20	0.030	0.030	NUM
fis-85	174	21	,	,	PUNCT
fis-85	174	22	0.035	0.035	NUM
fis-85	174	23	,	,	PUNCT
fis-85	174	24	0.040	0.040	NUM
fis-85	174	25	,	,	PUNCT
fis-85	174	26	0.045	0.045	NUM
fis-85	174	27	,	,	PUNCT
fis-85	174	28	0.050	0.050	NUM
fis-85	174	29	,	,	PUNCT
fis-85	174	30	0.055	0.055	NUM
fis-85	174	31	,	,	PUNCT
fis-85	174	32	0.060	0.060	NUM
fis-85	174	33	,	,	PUNCT
fis-85	174	34	0.065	0.065	NUM
fis-85	174	35	(	(	PUNCT
fis-85	174	36	from	from	ADP
fis-85	174	37	left	leave	VERB
fis-85	174	38	to	to	ADP
fis-85	174	39	right	right	NOUN
fis-85	174	40	,	,	PUNCT
fis-85	174	41	from	from	ADP
fis-85	174	42	top	top	NOUN
fis-85	174	43	to	to	ADP
fis-85	174	44	bottom	bottom	NOUN
fis-85	174	45	)	)	PUNCT
fis-85	174	46	.	.	PUNCT
fis-85	175	1	the	the	DET
fis-85	175	2	maximum	maximum	ADJ
fis-85	175	3	normal	normal	ADJ
fis-85	175	4	stress	stress	NOUN
fis-85	175	5	is	be	AUX
fis-85	175	6	reported	report	VERB
fis-85	175	7	in	in	ADP
fis-85	175	8	a	a	DET
fis-85	175	9	grey	grey	ADJ
fis-85	175	10	scale	scale	NOUN
fis-85	175	11	.	.	PUNCT
fis-85	176	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	176	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	176	3	m.	m.	NOUN
fis-85	176	4	angelillo	angelillo	VERB
fis-85	176	5	et	et	PROPN
fis-85	176	6	alii	alii	PROPN
fis-85	176	7	,	,	PUNCT
fis-85	176	8	frattura	frattura	PROPN
fis-85	176	9	ed	ed	PROPN
fis-85	176	10	integrità	integrità	PROPN
fis-85	176	11	strutturale	strutturale	PROPN
fis-85	176	12	,	,	PUNCT
fis-85	176	13	12	12	NUM
fis-85	176	14	(	(	PUNCT
fis-85	176	15	2010	2010	NUM
fis-85	176	16	)	)	PUNCT
fis-85	176	17	63	63	NUM
fis-85	176	18	-	-	SYM
fis-85	176	19	78	78	NUM
fis-85	176	20	;	;	PUNCT
fis-85	176	21	doi	doi	NOUN
fis-85	176	22	:	:	PUNCT
fis-85	176	23	10.3221	10.3221	NUM
fis-85	176	24	/	/	SYM
fis-85	176	25	igf	igf	PROPN
fis-85	176	26	-	-	ADJ
fis-85	176	27	esis.12.07	esis.12.07	ADJ
fis-85	176	28	72	72	NUM
fis-85	176	29	denoting	denote	VERB
fis-85	176	30	m	m	VERB
fis-85	176	31	the	the	DET
fis-85	176	32	total	total	ADJ
fis-85	176	33	number	number	NOUN
fis-85	176	34	of	of	ADP
fis-85	176	35	triangles	triangle	NOUN
fis-85	176	36	in	in	ADP
fis-85	176	37	the	the	DET
fis-85	176	38	mesh	mesh	NOUN
fis-85	176	39	and	and	CCONJ
fis-85	176	40	n	n	DET
fis-85	176	41	the	the	DET
fis-85	176	42	total	total	ADJ
fis-85	176	43	number	number	NOUN
fis-85	176	44	of	of	ADP
fis-85	176	45	nodes	node	NOUN
fis-85	176	46	,	,	PUNCT
fis-85	176	47	the	the	DET
fis-85	176	48	energy	energy	NOUN
fis-85	176	49	to	to	PART
fis-85	176	50	be	be	AUX
fis-85	176	51	minimized	minimize	VERB
fis-85	176	52	is	be	AUX
fis-85	176	53	a	a	DET
fis-85	176	54	function	function	NOUN
fis-85	176	55	of	of	ADP
fis-85	176	56	(	(	PUNCT
fis-85	176	57	2	2	NUM
fis-85	176	58	)	)	PUNCT
fis-85	176	59	3	3	NUM
fis-85	176	60	m	m	NOUN
fis-85	176	61	nodal	nodal	NOUN
fis-85	176	62	displacements	displacement	NOUN
fis-85	176	63	u1(n	u1(n	NOUN
fis-85	176	64	)	)	PUNCT
fis-85	176	65	,	,	PUNCT
fis-85	176	66	u2(n	u2(n	SYM
fis-85	176	67	)	)	PUNCT
fis-85	176	68	(	(	PUNCT
fis-85	176	69	n=1,2,	n=1,2,	NOUN
fis-85	176	70	..	..	PUNCT
fis-85	176	71	,3	,3	NOUN
fis-85	176	72	m	m	PROPN
fis-85	176	73	)	)	PUNCT
fis-85	176	74	and	and	CCONJ
fis-85	176	75	of	of	ADP
fis-85	176	76	2	2	NUM
fis-85	176	77	n	n	DET
fis-85	176	78	nodal	nodal	NOUN
fis-85	176	79	positions	position	NOUN
fis-85	176	80	in	in	ADP
fis-85	176	81	the	the	DET
fis-85	176	82	reference	reference	NOUN
fis-85	176	83	configuration	configuration	NOUN
fis-85	176	84	x1(m	x1(m	PROPN
fis-85	176	85	)	)	PUNCT
fis-85	176	86	,	,	PUNCT
fis-85	176	87	x2(m	x2(m	X
fis-85	176	88	)	)	PUNCT
fis-85	176	89	(	(	PUNCT
fis-85	176	90	m=1,2,	m=1,2,	NOUN
fis-85	176	91	..	..	PUNCT
fis-85	176	92	,n	,n	NUM
fis-85	176	93	)	)	PUNCT
fis-85	176	94	.	.	PUNCT
fis-85	177	1	the	the	DET
fis-85	177	2	energy	energy	NOUN
fis-85	177	3	is	be	AUX
fis-85	177	4	a	a	DET
fis-85	177	5	complex	complex	ADJ
fis-85	177	6	,	,	PUNCT
fis-85	177	7	non	non	ADJ
fis-85	177	8	convex	convex	NOUN
fis-85	177	9	function	function	NOUN
fis-85	177	10	of	of	ADP
fis-85	177	11	its	its	PRON
fis-85	177	12	arguments	argument	NOUN
fis-85	177	13	with	with	ADP
fis-85	177	14	a	a	DET
fis-85	177	15	lot	lot	NOUN
fis-85	177	16	of	of	ADP
fis-85	177	17	local	local	ADJ
fis-85	177	18	minima	minima	PROPN
fis-85	177	19	.	.	PUNCT
fis-85	178	1	from	from	ADP
fis-85	178	2	fig	fig	NOUN
fis-85	178	3	.	.	PUNCT
fis-85	179	1	11	11	NUM
fis-85	179	2	we	we	PRON
fis-85	179	3	see	see	VERB
fis-85	179	4	that	that	SCONJ
fis-85	179	5	the	the	DET
fis-85	179	6	fracture	fracture	NOUN
fis-85	179	7	propagates	propagate	VERB
fis-85	179	8	at	at	ADP
fis-85	179	9	a	a	DET
fis-85	179	10	critical	critical	ADJ
fis-85	179	11	value	value	NOUN
fis-85	179	12	of	of	ADP
fis-85	179	13	the	the	DET
fis-85	179	14	displacement	displacement	NOUN
fis-85	179	15	whose	whose	DET
fis-85	179	16	value	value	NOUN
fis-85	179	17	depends	depend	VERB
fis-85	179	18	on	on	ADP
fis-85	179	19	the	the	DET
fis-85	179	20	ratio	ratio	NOUN
fis-85	179	21			PROPN
fis-85	179	22	°	°	NOUN
fis-85	179	23	/h	/h	NOUN
fis-85	179	24	.	.	PUNCT
fis-85	180	1	in	in	ADP
fis-85	180	2	this	this	DET
fis-85	180	3	example	example	NOUN
fis-85	180	4	we	we	PRON
fis-85	180	5	focus	focus	VERB
fis-85	180	6	on	on	ADP
fis-85	180	7	the	the	DET
fis-85	180	8	tuning	tuning	NOUN
fis-85	180	9	of	of	ADP
fis-85	180	10	the	the	DET
fis-85	180	11	parameter	parameter	NOUN
fis-85	180	12			PROPN
fis-85	180	13	°	°	PROPN
fis-85	180	14	.	.	PUNCT
fis-85	181	1	in	in	ADP
fis-85	181	2	fig	fig	NOUN
fis-85	181	3	.	.	PUNCT
fis-85	182	1	12	12	NUM
fis-85	182	2	the	the	DET
fis-85	182	3	values	value	NOUN
fis-85	182	4	taken	take	VERB
fis-85	182	5	by	by	ADP
fis-85	182	6	the	the	DET
fis-85	182	7	elastic	elastic	ADJ
fis-85	182	8	energy	energy	NOUN
fis-85	182	9	at	at	ADP
fis-85	182	10	some	some	DET
fis-85	182	11	steps	step	NOUN
fis-85	182	12	of	of	ADP
fis-85	182	13	the	the	DET
fis-85	182	14	discrete	discrete	ADJ
fis-85	182	15	evolution	evolution	NOUN
fis-85	182	16	are	be	AUX
fis-85	182	17	compared	compare	VERB
fis-85	182	18	with	with	ADP
fis-85	182	19	the	the	DET
fis-85	182	20	graph	graph	NOUN
fis-85	182	21	of	of	ADP
fis-85	182	22	fig	fig	NOUN
fis-85	182	23	.	.	PUNCT
fis-85	183	1	10a	10a	NOUN
fis-85	183	2	.	.	PUNCT
fis-85	184	1	the	the	DET
fis-85	184	2	two	two	NUM
fis-85	184	3	polylines	polyline	NOUN
fis-85	184	4	a	a	PRON
fis-85	184	5	and	and	CCONJ
fis-85	184	6	b	b	NOUN
fis-85	184	7	refer	refer	NOUN
fis-85	184	8	to	to	ADP
fis-85	184	9	two	two	NUM
fis-85	184	10	values	value	NOUN
fis-85	184	11	of	of	ADP
fis-85	184	12	the	the	DET
fis-85	184	13	parameter	parameter	NOUN
fis-85	184	14			PROPN
fis-85	184	15	°	°	PROPN
fis-85	184	16	:	:	PUNCT
fis-85	184	17	246ncm-2	246ncm-2	NOUN
fis-85	184	18	and	and	CCONJ
fis-85	184	19	100ncm-2	100ncm-2	NOUN
fis-85	184	20	.	.	PUNCT
fis-85	185	1	for	for	ADP
fis-85	185	2	the	the	DET
fis-85	185	3	first	first	ADJ
fis-85	185	4	value	value	NOUN
fis-85	185	5	the	the	DET
fis-85	185	6	structures	structure	NOUN
fis-85	185	7	follows	follow	VERB
fis-85	185	8	closely	closely	ADV
fis-85	185	9	the	the	DET
fis-85	185	10	exact	exact	ADJ
fis-85	185	11	energy	energy	NOUN
fis-85	185	12	path	path	NOUN
fis-85	185	13	,	,	PUNCT
fis-85	185	14	even	even	ADV
fis-85	185	15	if	if	SCONJ
fis-85	185	16	with	with	ADP
fis-85	185	17	a	a	DET
fis-85	185	18	sequence	sequence	NOUN
fis-85	185	19	of	of	ADP
fis-85	185	20	snaps	snap	NOUN
fis-85	185	21	about	about	ADP
fis-85	185	22	the	the	DET
fis-85	185	23	real	real	ADJ
fis-85	185	24	trajectory	trajectory	NOUN
fis-85	185	25	.	.	PUNCT
fis-85	186	1	figure	figure	NOUN
fis-85	186	2	12	12	NUM
fis-85	186	3	:	:	PUNCT
fis-85	186	4	elastic	elastic	ADJ
fis-85	186	5	energy	energy	NOUN
fis-85	186	6	for	for	ADP
fis-85	186	7	increasing	increase	VERB
fis-85	186	8	values	value	NOUN
fis-85	186	9	of	of	ADP
fis-85	186	10	u.	u.	PROPN
fis-85	186	11	curve	curve	NOUN
fis-85	186	12	:	:	PUNCT
fis-85	186	13	exact	exact	ADJ
fis-85	186	14	elastic	elastic	ADJ
fis-85	186	15	energy	energy	NOUN
fis-85	186	16	.	.	PUNCT
fis-85	187	1	polyline	polyline	PROPN
fis-85	187	2	a	a	DET
fis-85	187	3	:	:	PUNCT
fis-85	187	4	discrete	discrete	ADJ
fis-85	187	5	trajectory	trajectory	NOUN
fis-85	187	6	with	with	ADP
fis-85	187	7			PROPN
fis-85	187	8	°	°	PROPN
fis-85	187	9	=246	=246	PROPN
fis-85	187	10	ncm-2	ncm-2	NOUN
fis-85	187	11	.	.	PUNCT
fis-85	188	1	polyline	polyline	PROPN
fis-85	188	2	b	b	PROPN
fis-85	188	3	:	:	PUNCT
fis-85	188	4	discrete	discrete	ADJ
fis-85	188	5	trajectory	trajectory	NOUN
fis-85	188	6	with	with	ADP
fis-85	188	7			PROPN
fis-85	188	8	°	°	PROPN
fis-85	188	9	=100	=100	PROPN
fis-85	188	10	ncm-2	ncm-2	NOUN
fis-85	188	11	.	.	PUNCT
fis-85	188	12	nucleation	nucleation	NOUN
fis-85	188	13	in	in	ADP
fis-85	188	14	2d	2d	NOUN
fis-85	188	15	.	.	PUNCT
fis-85	189	1	rupture	rupture	NOUN
fis-85	189	2	of	of	ADP
fis-85	189	3	a	a	DET
fis-85	189	4	stretched	stretch	VERB
fis-85	189	5	and	and	CCONJ
fis-85	189	6	sheared	sheared	ADJ
fis-85	189	7	strip	strip	NOUN
fis-85	189	8	he	he	PRON
fis-85	189	9	strip	strip	VERB
fis-85	189	10	of	of	ADP
fis-85	189	11	base	base	PROPN
fis-85	189	12	b	b	PROPN
fis-85	189	13	and	and	CCONJ
fis-85	189	14	length	length	NOUN
fis-85	189	15	l=2b	l=2b	NOUN
fis-85	189	16	,	,	PUNCT
fis-85	189	17	represented	represent	VERB
fis-85	189	18	in	in	ADP
fis-85	189	19	fig	fig	NOUN
fis-85	189	20	.	.	PUNCT
fis-85	190	1	13	13	NUM
fis-85	190	2	is	be	AUX
fis-85	190	3	considered	consider	VERB
fis-85	190	4	.	.	PUNCT
fis-85	191	1	in	in	ADP
fis-85	191	2	(	(	PUNCT
fis-85	191	3	a	a	X
fis-85	191	4	)	)	PUNCT
fis-85	191	5	a	a	DET
fis-85	191	6	topological	topological	ADJ
fis-85	191	7	representation	representation	NOUN
fis-85	191	8	of	of	ADP
fis-85	191	9	the	the	DET
fis-85	191	10	original	original	ADJ
fis-85	191	11	mesh	mesh	NOUN
fis-85	191	12	is	be	AUX
fis-85	191	13	given	give	VERB
fis-85	191	14	:	:	PUNCT
fis-85	191	15	it	it	PRON
fis-85	191	16	is	be	AUX
fis-85	191	17	a	a	DET
fis-85	191	18	structured	structured	ADJ
fis-85	191	19	mesh	mesh	NOUN
fis-85	191	20	based	base	VERB
fis-85	191	21	on	on	ADP
fis-85	191	22	a	a	DET
fis-85	191	23	uniform	uniform	ADJ
fis-85	191	24	triangulation	triangulation	NOUN
fis-85	191	25	of	of	ADP
fis-85	191	26	the	the	DET
fis-85	191	27	domain	domain	NOUN
fis-85	191	28	of	of	ADP
fis-85	191	29	mesh	mesh	NOUN
fis-85	191	30	size	size	NOUN
fis-85	191	31	h	h	PROPN
fis-85	191	32	=	=	PROPN
fis-85	191	33	l/20	l/20	PROPN
fis-85	191	34	2	2	NUM
fis-85	191	35	.	.	PUNCT
fis-85	192	1	in	in	ADP
fis-85	192	2	grey	grey	PROPN
fis-85	192	3	the	the	DET
fis-85	192	4	100	100	NUM
fis-85	192	5	physical	physical	ADJ
fis-85	192	6	triangles	triangle	NOUN
fis-85	192	7	of	of	ADP
fis-85	192	8	the	the	DET
fis-85	192	9	mesh	mesh	NOUN
fis-85	192	10	and	and	CCONJ
fis-85	192	11	in	in	ADP
fis-85	192	12	white	white	ADJ
fis-85	192	13	the	the	DET
fis-85	192	14	270	270	NUM
fis-85	192	15	interface	interface	NOUN
fis-85	192	16	elements	element	NOUN
fis-85	192	17	are	be	AUX
fis-85	192	18	reported	report	VERB
fis-85	192	19	.	.	PUNCT
fis-85	193	1	therefore	therefore	ADV
fis-85	193	2	the	the	DET
fis-85	193	3	free	free	ADJ
fis-85	193	4	node	node	ADJ
fis-85	193	5	displacements	displacement	NOUN
fis-85	193	6	,	,	PUNCT
fis-85	193	7	before	before	ADP
fis-85	193	8	considering	consider	VERB
fis-85	193	9	the	the	DET
fis-85	193	10	geometric	geometric	ADJ
fis-85	193	11	constraints	constraint	NOUN
fis-85	193	12	at	at	ADP
fis-85	193	13	the	the	DET
fis-85	193	14	bases	basis	NOUN
fis-85	193	15	of	of	ADP
fis-85	193	16	the	the	DET
fis-85	193	17	strip	strip	NOUN
fis-85	193	18	,	,	PUNCT
fis-85	193	19	are	be	AUX
fis-85	193	20	2(3)100=	2(3)100=	NUM
fis-85	193	21	600	600	NUM
fis-85	193	22	instead	instead	ADV
fis-85	193	23	of	of	ADP
fis-85	193	24	the	the	DET
fis-85	193	25	2	2	NUM
fis-85	193	26	(	(	PUNCT
fis-85	193	27	66)=132	66)=132	NOUN
fis-85	193	28	of	of	ADP
fis-85	193	29	a	a	DET
fis-85	193	30	classical	classical	ADJ
fis-85	193	31	fem	fem	NOUN
fis-85	193	32	mesh	mesh	NOUN
fis-85	193	33	.	.	PUNCT
fis-85	194	1	the	the	DET
fis-85	194	2	node	node	ADJ
fis-85	194	3	positions	position	NOUN
fis-85	194	4	in	in	ADP
fis-85	194	5	the	the	DET
fis-85	194	6	reference	reference	NOUN
fis-85	194	7	configuration	configuration	NOUN
fis-85	194	8	are	be	AUX
fis-85	194	9	also	also	ADV
fis-85	194	10	taken	take	VERB
fis-85	194	11	as	as	ADP
fis-85	194	12	variables	variable	NOUN
fis-85	194	13	.	.	PUNCT
fis-85	195	1	therefore	therefore	ADV
fis-85	195	2	there	there	PRON
fis-85	195	3	are	be	VERB
fis-85	195	4	2(66)=132	2(66)=132	NUM
fis-85	195	5	more	more	ADJ
fis-85	195	6	variables	variable	NOUN
fis-85	195	7	to	to	PART
fis-85	195	8	be	be	AUX
fis-85	195	9	considered	consider	VERB
fis-85	195	10	.	.	PUNCT
fis-85	196	1	the	the	DET
fis-85	196	2	energy	energy	NOUN
fis-85	196	3	is	be	AUX
fis-85	196	4	a	a	DET
fis-85	196	5	complex	complex	ADJ
fis-85	196	6	functions	function	NOUN
fis-85	196	7	of	of	ADP
fis-85	196	8	these	these	DET
fis-85	196	9	variables	variable	NOUN
fis-85	196	10	with	with	ADP
fis-85	196	11	a	a	DET
fis-85	196	12	lot	lot	NOUN
fis-85	196	13	of	of	ADP
fis-85	196	14	local	local	ADJ
fis-85	196	15	minima	minima	NOUN
fis-85	196	16	.	.	PUNCT
fis-85	197	1	(	(	PUNCT
fis-85	197	2	a	a	X
fis-85	197	3	)	)	PUNCT
fis-85	197	4	(	(	PUNCT
fis-85	197	5	b	b	X
fis-85	197	6	)	)	PUNCT
fis-85	197	7	(	(	PUNCT
fis-85	197	8	c	c	X
fis-85	197	9	)	)	PUNCT
fis-85	197	10	(	(	PUNCT
fis-85	197	11	d	d	X
fis-85	197	12	)	)	PUNCT
fis-85	197	13	figure	figure	NOUN
fis-85	197	14	13	13	NUM
fis-85	197	15	:	:	PUNCT
fis-85	197	16	sheared	shear	VERB
fis-85	197	17	and	and	CCONJ
fis-85	197	18	stretched	stretch	VERB
fis-85	197	19	strip	strip	NOUN
fis-85	197	20	.	.	PUNCT
fis-85	198	1	original	original	ADJ
fis-85	198	2	mesh	mesh	NOUN
fis-85	198	3	(	(	PUNCT
fis-85	198	4	a	a	NOUN
fis-85	198	5	)	)	PUNCT
fis-85	198	6	,	,	PUNCT
fis-85	198	7	starting	start	VERB
fis-85	198	8	state	state	NOUN
fis-85	198	9	(	(	PUNCT
fis-85	198	10	b	b	NOUN
fis-85	198	11	)	)	PUNCT
fis-85	198	12	,	,	PUNCT
fis-85	198	13	deformed	deform	VERB
fis-85	198	14	shape	shape	NOUN
fis-85	198	15	at	at	ADP
fis-85	198	16	convergence	convergence	NOUN
fis-85	198	17	(	(	PUNCT
fis-85	198	18	c	c	NOUN
fis-85	198	19	)	)	PUNCT
fis-85	198	20	,	,	PUNCT
fis-85	198	21	final	final	ADJ
fis-85	198	22	mesh	mesh	NOUN
fis-85	198	23	at	at	ADP
fis-85	198	24	convergence	convergence	NOUN
fis-85	198	25	(	(	PUNCT
fis-85	198	26	d	d	NOUN
fis-85	198	27	)	)	PUNCT
fis-85	198	28	.	.	PUNCT
fis-85	199	1	t	t	PROPN
fis-85	199	2	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	199	3	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	199	4	m.	m.	NOUN
fis-85	199	5	angelillo	angelillo	VERB
fis-85	199	6	et	et	PROPN
fis-85	199	7	alii	alii	PROPN
fis-85	199	8	,	,	PUNCT
fis-85	199	9	frattura	frattura	PROPN
fis-85	199	10	ed	ed	PROPN
fis-85	199	11	integrità	integrità	PROPN
fis-85	199	12	strutturale	strutturale	PROPN
fis-85	199	13	,	,	PUNCT
fis-85	199	14	12	12	NUM
fis-85	199	15	(	(	PUNCT
fis-85	199	16	2010	2010	NUM
fis-85	199	17	)	)	PUNCT
fis-85	199	18	63	63	NUM
fis-85	199	19	-	-	SYM
fis-85	199	20	78	78	NUM
fis-85	199	21	;	;	PUNCT
fis-85	199	22	doi	doi	NOUN
fis-85	199	23	:	:	PUNCT
fis-85	199	24	10.3221	10.3221	NUM
fis-85	199	25	/	/	SYM
fis-85	199	26	igf	igf	PROPN
fis-85	199	27	-	-	ADJ
fis-85	199	28	esis.12.07	esis.12.07	ADJ
fis-85	199	29	73	73	NUM
fis-85	199	30	such	such	ADJ
fis-85	199	31	energy	energy	NOUN
fis-85	199	32	is	be	AUX
fis-85	199	33	minimized	minimize	VERB
fis-85	199	34	by	by	ADP
fis-85	199	35	fixing	fix	VERB
fis-85	199	36	a	a	DET
fis-85	199	37	given	give	VERB
fis-85	199	38	combination	combination	NOUN
fis-85	199	39	of	of	ADP
fis-85	199	40	stretch	stretch	NOUN
fis-85	199	41	and	and	CCONJ
fis-85	199	42	shear	shear	NOUN
fis-85	199	43	at	at	ADP
fis-85	199	44	the	the	DET
fis-85	199	45	constrained	constrain	VERB
fis-85	199	46	bases	basis	NOUN
fis-85	199	47	,	,	PUNCT
fis-85	199	48	and	and	CCONJ
fis-85	199	49	evolving	evolve	VERB
fis-85	199	50	an	an	DET
fis-85	199	51	initial	initial	ADJ
fis-85	199	52	state	state	NOUN
fis-85	199	53	compatible	compatible	ADJ
fis-85	199	54	with	with	ADP
fis-85	199	55	this	this	DET
fis-85	199	56	datum	datum	NOUN
fis-85	199	57	(	(	PUNCT
fis-85	199	58	the	the	DET
fis-85	199	59	elastic	elastic	ADJ
fis-85	199	60	solution	solution	NOUN
fis-85	199	61	,	,	PUNCT
fis-85	199	62	fig	fig	NOUN
fis-85	199	63	.	.	PUNCT
fis-85	199	64	13b	13b	NOUN
fis-85	199	65	)	)	PUNCT
fis-85	199	66	through	through	ADP
fis-85	199	67	a	a	DET
fis-85	199	68	descent	descent	NOUN
fis-85	199	69	algorithm	algorithm	NOUN
fis-85	199	70	(	(	PUNCT
fis-85	199	71	conjugate	conjugate	ADJ
fis-85	199	72	gradient	gradient	NOUN
fis-85	199	73	)	)	PUNCT
fis-85	199	74	.	.	PUNCT
fis-85	200	1	fig	fig	NOUN
fis-85	200	2	.	.	PUNCT
fis-85	201	1	13a	13a	PROPN
fis-85	201	2	,	,	PUNCT
fis-85	201	3	b	b	PROPN
fis-85	201	4	shows	show	VERB
fis-85	201	5	the	the	DET
fis-85	201	6	final	final	ADJ
fis-85	201	7	geometry	geometry	NOUN
fis-85	201	8	of	of	ADP
fis-85	201	9	the	the	DET
fis-85	201	10	strip	strip	NOUN
fis-85	201	11	and	and	CCONJ
fis-85	201	12	of	of	ADP
fis-85	201	13	the	the	DET
fis-85	201	14	corresponding	corresponding	ADJ
fis-85	201	15	mesh	mesh	NOUN
fis-85	201	16	in	in	ADP
fis-85	201	17	the	the	DET
fis-85	201	18	original	original	ADJ
fis-85	201	19	configuration	configuration	NOUN
fis-85	201	20	,	,	PUNCT
fis-85	201	21	at	at	ADP
fis-85	201	22	the	the	DET
fis-85	201	23	end	end	NOUN
fis-85	201	24	of	of	ADP
fis-85	201	25	the	the	DET
fis-85	201	26	minimization	minimization	NOUN
fis-85	201	27	process	process	NOUN
fis-85	201	28	.	.	PUNCT
fis-85	202	1	the	the	DET
fis-85	202	2	result	result	NOUN
fis-85	202	3	we	we	PRON
fis-85	202	4	show	show	VERB
fis-85	202	5	resemble	resemble	VERB
fis-85	202	6	the	the	DET
fis-85	202	7	outcome	outcome	NOUN
fis-85	202	8	of	of	ADP
fis-85	202	9	a	a	DET
fis-85	202	10	number	number	NOUN
fis-85	202	11	of	of	ADP
fis-85	202	12	fracture	fracture	NOUN
fis-85	202	13	tests	test	NOUN
fis-85	202	14	on	on	ADP
fis-85	202	15	concrete	concrete	ADJ
fis-85	202	16	but	but	CCONJ
fis-85	202	17	we	we	PRON
fis-85	202	18	refrain	refrain	VERB
fis-85	202	19	the	the	DET
fis-85	202	20	reader	reader	NOUN
fis-85	202	21	from	from	ADP
fis-85	202	22	being	be	AUX
fis-85	202	23	too	too	ADV
fis-85	202	24	excited	excited	ADJ
fis-85	202	25	by	by	ADP
fis-85	202	26	this	this	PRON
fis-85	202	27	.	.	PUNCT
fis-85	203	1	we	we	PRON
fis-85	203	2	must	must	AUX
fis-85	203	3	report	report	VERB
fis-85	203	4	indeed	indeed	ADV
fis-85	203	5	the	the	DET
fis-85	203	6	rather	rather	ADV
fis-85	203	7	frustrating	frustrating	ADJ
fis-85	203	8	results	result	NOUN
fis-85	203	9	that	that	SCONJ
fis-85	203	10	one	one	PRON
fis-85	203	11	can	can	AUX
fis-85	203	12	obtain	obtain	VERB
fis-85	203	13	by	by	ADP
fis-85	203	14	just	just	ADV
fis-85	203	15	changing	change	VERB
fis-85	203	16	a	a	DET
fis-85	203	17	little	little	ADJ
fis-85	203	18	the	the	DET
fis-85	203	19	starting	start	VERB
fis-85	203	20	state	state	NOUN
fis-85	203	21	or	or	CCONJ
fis-85	203	22	the	the	DET
fis-85	203	23	parameters	parameter	NOUN
fis-85	203	24	(	(	PUNCT
fis-85	203	25	especially	especially	ADV
fis-85	203	26	important	important	ADJ
fis-85	203	27	is	be	AUX
fis-85	203	28	the	the	DET
fis-85	203	29	interplay	interplay	NOUN
fis-85	203	30	of	of	ADP
fis-85	203	31			PROPN
fis-85	203	32	°	°	PROPN
fis-85	203	33	and	and	CCONJ
fis-85	203	34			NOUN
fis-85	203	35	°	°	NUM
fis-85	203	36	)	)	PUNCT
fis-85	203	37	.	.	PUNCT
fis-85	204	1	besides	besides	SCONJ
fis-85	204	2	we	we	PRON
fis-85	204	3	must	must	AUX
fis-85	204	4	point	point	VERB
fis-85	204	5	out	out	ADP
fis-85	204	6	that	that	SCONJ
fis-85	204	7	the	the	DET
fis-85	204	8	result	result	NOUN
fis-85	204	9	we	we	PRON
fis-85	204	10	show	show	VERB
fis-85	204	11	in	in	ADP
fis-85	204	12	fig	fig	NOUN
fis-85	204	13	.	.	PUNCT
fis-85	205	1	13	13	NUM
fis-85	205	2	was	be	AUX
fis-85	205	3	obtained	obtain	VERB
fis-85	205	4	by	by	ADP
fis-85	205	5	fixing	fix	VERB
fis-85	205	6	at	at	ADP
fis-85	205	7	the	the	DET
fis-85	205	8	boundary	boundary	NOUN
fis-85	205	9	a	a	DET
fis-85	205	10	large	large	ADJ
fis-85	205	11	displacement	displacement	NOUN
fis-85	205	12	in	in	ADP
fis-85	205	13	a	a	DET
fis-85	205	14	single	single	ADJ
fis-85	205	15	step	step	NOUN
fis-85	205	16	.	.	PUNCT
fis-85	206	1	any	any	DET
fis-85	206	2	attempt	attempt	NOUN
fis-85	206	3	to	to	PART
fis-85	206	4	try	try	VERB
fis-85	206	5	to	to	PART
fis-85	206	6	follow	follow	VERB
fis-85	206	7	a	a	DET
fis-85	206	8	sensible	sensible	ADJ
fis-85	206	9	quasi	quasi	ADJ
fis-85	206	10	-	-	ADJ
fis-85	206	11	static	static	ADJ
fis-85	206	12	trajectory	trajectory	NOUN
fis-85	206	13	has	have	AUX
fis-85	206	14	had	have	VERB
fis-85	206	15	always	always	ADV
fis-85	206	16	miserable	miserable	ADJ
fis-85	206	17	results	result	NOUN
fis-85	206	18	.	.	PUNCT
fis-85	207	1	we	we	PRON
fis-85	207	2	do	do	AUX
fis-85	207	3	not	not	PART
fis-85	207	4	have	have	VERB
fis-85	207	5	a	a	DET
fis-85	207	6	reasonable	reasonable	ADJ
fis-85	207	7	answer	answer	NOUN
fis-85	207	8	to	to	ADP
fis-85	207	9	this	this	PRON
fis-85	207	10	but	but	CCONJ
fis-85	207	11	feel	feel	VERB
fis-85	207	12	that	that	SCONJ
fis-85	207	13	these	these	DET
fis-85	207	14	difficulties	difficulty	NOUN
fis-85	207	15	may	may	AUX
fis-85	207	16	be	be	AUX
fis-85	207	17	remedied	remedie	VERB
fis-85	207	18	by	by	ADP
fis-85	207	19	introducing	introduce	VERB
fis-85	207	20	dynamics	dynamic	NOUN
fis-85	207	21	,	,	PUNCT
fis-85	207	22	that	that	PRON
fis-85	207	23	is	be	AUX
fis-85	207	24	by	by	ADP
fis-85	207	25	alternating	alternate	VERB
fis-85	207	26	a	a	DET
fis-85	207	27	variational	variational	ADJ
fis-85	207	28	step	step	NOUN
fis-85	207	29	and	and	CCONJ
fis-85	207	30	a	a	DET
fis-85	207	31	dynamical	dynamical	ADJ
fis-85	207	32	step	step	NOUN
fis-85	207	33	during	during	ADP
fis-85	207	34	the	the	DET
fis-85	207	35	discretized	discretized	ADJ
fis-85	207	36	evolution	evolution	NOUN
fis-85	207	37	.	.	PUNCT
fis-85	208	1	propagation	propagation	NOUN
fis-85	208	2	:	:	PUNCT
fis-85	208	3	kinking	kinking	NOUN
fis-85	208	4	of	of	ADP
fis-85	208	5	a	a	DET
fis-85	208	6	straight	straight	ADJ
fis-85	208	7	crack	crack	NOUN
fis-85	208	8	in	in	ADP
fis-85	208	9	mixed	mixed	ADJ
fis-85	208	10	mode	mode	NOUN
fis-85	208	11	i&ii	i&ii	NOUN
fis-85	208	12	he	he	PRON
fis-85	208	13	propagation	propagation	NOUN
fis-85	208	14	of	of	ADP
fis-85	208	15	a	a	DET
fis-85	208	16	straight	straight	ADJ
fis-85	208	17	crack	crack	NOUN
fis-85	208	18	in	in	ADP
fis-85	208	19	a	a	DET
fis-85	208	20	panel	panel	NOUN
fis-85	208	21	under	under	ADP
fis-85	208	22	mixed	mixed	ADJ
fis-85	208	23	mode	mode	NOUN
fis-85	208	24	boundary	boundary	ADJ
fis-85	208	25	conditions	condition	NOUN
fis-85	208	26	is	be	AUX
fis-85	208	27	considered	consider	VERB
fis-85	208	28	.	.	PUNCT
fis-85	209	1	the	the	DET
fis-85	209	2	geometries	geometry	NOUN
fis-85	209	3	and	and	CCONJ
fis-85	209	4	boundary	boundary	ADJ
fis-85	209	5	conditions	condition	NOUN
fis-85	209	6	considered	consider	VERB
fis-85	209	7	are	be	AUX
fis-85	209	8	shown	show	VERB
fis-85	209	9	in	in	ADP
fis-85	209	10	fig	fig	NOUN
fis-85	209	11	.	.	PUNCT
fis-85	210	1	1	1	NUM
fis-85	210	2	and	and	CCONJ
fis-85	210	3	fig	fig	NOUN
fis-85	210	4	.	.	PUNCT
fis-85	211	1	14	14	NUM
fis-85	211	2	,	,	PUNCT
fis-85	211	3	to	to	PART
fis-85	211	4	which	which	PRON
fis-85	211	5	we	we	PRON
fis-85	211	6	refer	refer	VERB
fis-85	211	7	for	for	ADP
fis-85	211	8	notations	notation	NOUN
fis-85	211	9	.	.	PUNCT
fis-85	212	1	propagation	propagation	NOUN
fis-85	212	2	of	of	ADP
fis-85	212	3	the	the	DET
fis-85	212	4	crack	crack	NOUN
fis-85	212	5	in	in	ADP
fis-85	212	6	clfm	clfm	PROPN
fis-85	212	7	is	be	AUX
fis-85	212	8	still	still	ADV
fis-85	212	9	governed	govern	VERB
fis-85	212	10	by	by	ADP
fis-85	212	11	the	the	DET
fis-85	212	12	griffith	griffith	PROPN
fis-85	212	13	’s	’s	PART
fis-85	212	14	criterion	criterion	NOUN
fis-85	212	15	.	.	PUNCT
fis-85	213	1	consensus	consensus	NOUN
fis-85	213	2	is	be	AUX
fis-85	213	3	breached	breach	VERB
fis-85	213	4	when	when	SCONJ
fis-85	213	5	addressing	address	VERB
fis-85	213	6	how	how	SCONJ
fis-85	213	7	a	a	DET
fis-85	213	8	path	path	NOUN
fis-85	213	9	is	be	AUX
fis-85	213	10	selected	select	VERB
fis-85	213	11	by	by	ADP
fis-85	213	12	the	the	DET
fis-85	213	13	crack	crack	NOUN
fis-85	213	14	.	.	PUNCT
fis-85	214	1	in	in	ADP
fis-85	214	2	particular	particular	ADJ
fis-85	214	3	,	,	PUNCT
fis-85	214	4	competing	compete	VERB
fis-85	214	5	criteria	criterion	NOUN
fis-85	214	6	have	have	AUX
fis-85	214	7	been	be	AUX
fis-85	214	8	proposed	propose	VERB
fis-85	214	9	for	for	ADP
fis-85	214	10	the	the	DET
fis-85	214	11	kinking	kinking	NOUN
fis-85	214	12	of	of	ADP
fis-85	214	13	a	a	DET
fis-85	214	14	straight	straight	ADJ
fis-85	214	15	crack	crack	NOUN
fis-85	214	16	.	.	PUNCT
fis-85	215	1	in	in	ADP
fis-85	215	2	an	an	DET
fis-85	215	3	isotropic	isotropic	NOUN
fis-85	215	4	setting	setting	NOUN
fis-85	215	5	,	,	PUNCT
fis-85	215	6	a	a	DET
fis-85	215	7	well	well	ADV
fis-85	215	8	regarded	regard	VERB
fis-85	215	9	criterion	criterion	NOUN
fis-85	215	10	is	be	AUX
fis-85	215	11	the	the	DET
fis-85	215	12	principle	principle	NOUN
fis-85	215	13	of	of	ADP
fis-85	215	14	local	local	ADJ
fis-85	215	15	symmetry	symmetry	NOUN
fis-85	215	16	,	,	PUNCT
fis-85	215	17	pls	pls	NOUN
fis-85	215	18	-	-	PUNCT
fis-85	215	19	criterion	criterion	NOUN
fis-85	215	20	,	,	PUNCT
fis-85	215	21	[	[	X
fis-85	215	22	14	14	NUM
fis-85	215	23	]	]	PUNCT
fis-85	215	24	which	which	PRON
fis-85	215	25	states	state	VERB
fis-85	215	26	that	that	SCONJ
fis-85	215	27	the	the	DET
fis-85	215	28	crack	crack	NOUN
fis-85	215	29	always	always	ADV
fis-85	215	30	propagates	propagate	VERB
fis-85	215	31	in	in	ADP
fis-85	215	32	mode	mode	PROPN
fis-85	215	33	i	i	PRON
fis-85	215	34	,	,	PUNCT
fis-85	215	35	that	that	PRON
fis-85	215	36	is	be	AUX
fis-85	215	37	with	with	ADP
fis-85	215	38	inplane	inplane	NOUN
fis-85	215	39	tractions	traction	NOUN
fis-85	215	40	that	that	PRON
fis-85	215	41	remain	remain	VERB
fis-85	215	42	perpendicular	perpendicular	ADJ
fis-85	215	43	to	to	ADP
fis-85	215	44	the	the	DET
fis-85	215	45	crack	crack	NOUN
fis-85	215	46	in	in	ADP
fis-85	215	47	a	a	DET
fis-85	215	48	small	small	ADJ
fis-85	215	49	neighborhood	neighborhood	NOUN
fis-85	215	50	of	of	ADP
fis-85	215	51	the	the	DET
fis-85	215	52	crack	crack	NOUN
fis-85	215	53	tip	tip	NOUN
fis-85	215	54	[	[	X
fis-85	215	55	15	15	NUM
fis-85	215	56	]	]	PUNCT
fis-85	215	57	.	.	PUNCT
fis-85	216	1	the	the	DET
fis-85	216	2	maximum	maximum	ADJ
fis-85	216	3	tangential	tangential	ADJ
fis-85	216	4	stress	stress	NOUN
fis-85	216	5	,	,	PUNCT
fis-85	216	6	mts	mts	NOUN
fis-85	216	7	-	-	PUNCT
fis-85	216	8	criterion	criterion	NOUN
fis-85	216	9	,	,	PUNCT
fis-85	216	10	(	(	PUNCT
fis-85	216	11	erdogan	erdogan	ADJ
fis-85	216	12	and	and	CCONJ
fis-85	216	13	sih	sih	NOUN
fis-85	217	1	[	[	X
fis-85	217	2	16	16	NUM
fis-85	217	3	]	]	PUNCT
fis-85	217	4	,	,	PUNCT
fis-85	217	5	1963	1963	NUM
fis-85	217	6	)	)	PUNCT
fis-85	217	7	is	be	AUX
fis-85	217	8	the	the	DET
fis-85	217	9	simplest	simple	ADJ
fis-85	217	10	criterion	criterion	NOUN
fis-85	217	11	and	and	CCONJ
fis-85	217	12	it	it	PRON
fis-85	217	13	states	state	VERB
fis-85	217	14	that	that	SCONJ
fis-85	217	15	the	the	DET
fis-85	217	16	direction	direction	NOUN
fis-85	217	17	of	of	ADP
fis-85	217	18	crack	crack	NOUN
fis-85	217	19	initiation	initiation	NOUN
fis-85	217	20	coincides	coincide	VERB
fis-85	217	21	with	with	ADP
fis-85	217	22	the	the	DET
fis-85	217	23	direction	direction	NOUN
fis-85	217	24	of	of	ADP
fis-85	217	25	the	the	DET
fis-85	217	26	maximum	maximum	ADJ
fis-85	217	27	tangential	tangential	ADJ
fis-85	217	28	stress	stress	NOUN
fis-85	217	29	along	along	ADP
fis-85	217	30	a	a	DET
fis-85	217	31	constant	constant	ADJ
fis-85	217	32	radius	radius	NOUN
fis-85	217	33	around	around	ADP
fis-85	217	34	the	the	DET
fis-85	217	35	crack	crack	NOUN
fis-85	217	36	tip	tip	NOUN
fis-85	217	37	.	.	PUNCT
fis-85	218	1	another	another	DET
fis-85	218	2	possible	possible	ADJ
fis-85	218	3	alternative	alternative	NOUN
fis-85	218	4	is	be	AUX
fis-85	218	5	the	the	DET
fis-85	218	6	gmax	gmax	NOUN
fis-85	218	7	-	-	PUNCT
fis-85	218	8	criterion	criterion	NOUN
fis-85	218	9	which	which	PRON
fis-85	218	10	states	state	VERB
fis-85	218	11	that	that	SCONJ
fis-85	218	12	the	the	DET
fis-85	218	13	crack	crack	NOUN
fis-85	218	14	will	will	AUX
fis-85	218	15	kink	kink	VERB
fis-85	218	16	along	along	ADP
fis-85	218	17	a	a	DET
fis-85	218	18	direction	direction	NOUN
fis-85	218	19	that	that	PRON
fis-85	218	20	maximizes	maximize	VERB
fis-85	218	21	the	the	DET
fis-85	218	22	release	release	NOUN
fis-85	218	23	rate	rate	NOUN
fis-85	218	24	of	of	ADP
fis-85	218	25	its	its	PRON
fis-85	218	26	potential	potential	ADJ
fis-85	218	27	energy	energy	NOUN
fis-85	218	28	among	among	ADP
fis-85	218	29	all	all	DET
fis-85	218	30	kinking	kinking	NOUN
fis-85	218	31	angles	angle	NOUN
fis-85	218	32	.	.	PUNCT
fis-85	219	1	it	it	PRON
fis-85	219	2	was	be	AUX
fis-85	219	3	shown	show	VERB
fis-85	219	4	[	[	X
fis-85	219	5	17	17	NUM
fis-85	219	6	]	]	PUNCT
fis-85	219	7	that	that	SCONJ
fis-85	219	8	the	the	DET
fis-85	219	9	three	three	NUM
fis-85	219	10	criteria	criterion	NOUN
fis-85	219	11	generically	generically	ADV
fis-85	219	12	yield	yield	VERB
fis-85	219	13	different	different	ADJ
fis-85	219	14	kinking	kinking	NOUN
fis-85	219	15	angles	angle	NOUN
fis-85	219	16	.	.	PUNCT
fis-85	220	1	there	there	PRON
fis-85	220	2	is	be	VERB
fis-85	220	3	in	in	ADP
fis-85	220	4	truth	truth	NOUN
fis-85	220	5	scant	scant	ADJ
fis-85	220	6	evidence	evidence	NOUN
fis-85	220	7	that	that	PRON
fis-85	220	8	would	would	AUX
fis-85	220	9	support	support	VERB
fis-85	220	10	one	one	NUM
fis-85	220	11	criterion	criterion	NOUN
fis-85	220	12	over	over	ADP
fis-85	220	13	another	another	PRON
fis-85	220	14	,	,	PUNCT
fis-85	220	15	and	and	CCONJ
fis-85	220	16	even	even	ADV
fis-85	220	17	less	less	ADV
fis-85	220	18	so	so	ADV
fis-85	220	19	in	in	ADP
fis-85	220	20	anti	anti	ADJ
fis-85	220	21	-	-	ADJ
fis-85	220	22	plane	plane	ADJ
fis-85	220	23	shear	shear	NOUN
fis-85	220	24	because	because	SCONJ
fis-85	220	25	the	the	DET
fis-85	220	26	crack	crack	NOUN
fis-85	220	27	is	be	AUX
fis-85	220	28	in	in	ADP
fis-85	220	29	mode	mode	PROPN
fis-85	220	30	iii	iii	PROPN
fis-85	220	31	,	,	PUNCT
fis-85	220	32	so	so	SCONJ
fis-85	220	33	that	that	SCONJ
fis-85	220	34	the	the	DET
fis-85	220	35	notion	notion	NOUN
fis-85	220	36	of	of	ADP
fis-85	220	37	mode	mode	PROPN
fis-85	220	38	i	i	PROPN
fis-85	220	39	,	,	PUNCT
fis-85	220	40	or	or	CCONJ
fis-85	220	41	mode	mode	PROPN
fis-85	220	42	ii	ii	PROPN
fis-85	220	43	propagation	propagation	NOUN
fis-85	220	44	is	be	AUX
fis-85	220	45	rendered	render	VERB
fis-85	220	46	meaningless	meaningless	ADJ
fis-85	220	47	.	.	PUNCT
fis-85	221	1	in	in	ADP
fis-85	221	2	very	very	ADV
fis-85	221	3	recent	recent	ADJ
fis-85	221	4	paper	paper	NOUN
fis-85	221	5	,	,	PUNCT
fis-85	221	6	[	[	X
fis-85	221	7	18	18	NUM
fis-85	221	8	]	]	PUNCT
fis-85	221	9	,	,	PUNCT
fis-85	221	10	chambolle	chambolle	PROPN
fis-85	221	11	,	,	PUNCT
fis-85	221	12	franfort	franfort	PROPN
fis-85	221	13	&	&	CCONJ
fis-85	221	14	marigo	marigo	PROPN
fis-85	221	15	claim	claim	VERB
fis-85	221	16	that	that	SCONJ
fis-85	221	17	the	the	DET
fis-85	221	18	kinking	kinking	NOUN
fis-85	221	19	of	of	ADP
fis-85	221	20	a	a	DET
fis-85	221	21	straight	straight	ADJ
fis-85	221	22	crack	crack	NOUN
fis-85	221	23	is	be	AUX
fis-85	221	24	possible	possible	ADJ
fis-85	221	25	only	only	ADV
fis-85	221	26	if	if	SCONJ
fis-85	221	27	one	one	NUM
fis-85	221	28	admits	admit	VERB
fis-85	221	29	discontinuity	discontinuity	NOUN
fis-85	221	30	in	in	ADP
fis-85	221	31	time	time	NOUN
fis-85	221	32	,	,	PUNCT
fis-85	221	33	that	that	PRON
fis-85	221	34	is	be	AUX
fis-85	221	35	the	the	DET
fis-85	221	36	crack	crack	NOUN
fis-85	221	37	propagation	propagation	NOUN
fis-85	221	38	is	be	AUX
fis-85	221	39	brutal	brutal	ADJ
fis-85	221	40	.	.	PUNCT
fis-85	222	1	based	base	VERB
fis-85	222	2	on	on	ADP
fis-85	222	3	their	their	PRON
fis-85	222	4	theorem	theorem	NOUN
fis-85	222	5	there	there	PRON
fis-85	222	6	are	be	VERB
fis-85	222	7	only	only	ADV
fis-85	222	8	two	two	NUM
fis-85	222	9	possibilities	possibility	NOUN
fis-85	222	10	to	to	PART
fis-85	222	11	propagate	propagate	VERB
fis-85	222	12	a	a	DET
fis-85	222	13	straight	straight	ADJ
fis-85	222	14	crack	crack	NOUN
fis-85	222	15	:	:	PUNCT
fis-85	223	1	1	1	X
fis-85	223	2	.	.	X
fis-85	223	3	the	the	DET
fis-85	223	4	crack	crack	NOUN
fis-85	223	5	kinks	kink	NOUN
fis-85	223	6	and	and	CCONJ
fis-85	223	7	the	the	DET
fis-85	223	8	system	system	NOUN
fis-85	223	9	jumps	jump	VERB
fis-85	223	10	dynamically	dynamically	ADV
fis-85	223	11	from	from	ADP
fis-85	223	12	a	a	DET
fis-85	223	13	local	local	ADJ
fis-85	223	14	minimum	minimum	NOUN
fis-85	223	15	to	to	ADP
fis-85	223	16	another	another	DET
fis-85	223	17	local	local	ADJ
fis-85	223	18	minimum	minimum	NOUN
fis-85	223	19	.	.	PUNCT
fis-85	224	1	2	2	X
fis-85	224	2	.	.	X
fis-85	224	3	crack	crack	VERB
fis-85	224	4	branching	branch	VERB
fis-85	224	5	is	be	AUX
fis-85	224	6	observed	observe	VERB
fis-85	224	7	.	.	PUNCT
fis-85	225	1	in	in	ADP
fis-85	225	2	both	both	DET
fis-85	225	3	cases	case	NOUN
fis-85	225	4	clfm	clfm	NOUN
fis-85	225	5	does	do	AUX
fis-85	225	6	not	not	PART
fis-85	225	7	work	work	VERB
fis-85	225	8	since	since	SCONJ
fis-85	225	9	the	the	DET
fis-85	225	10	griffith	griffith	PROPN
fis-85	225	11	’s	’s	PART
fis-85	225	12	criterion	criterion	NOUN
fis-85	225	13	does	do	AUX
fis-85	225	14	not	not	PART
fis-85	225	15	apply	apply	VERB
fis-85	225	16	in	in	ADP
fis-85	225	17	his	his	PRON
fis-85	225	18	classical	classical	ADJ
fis-85	225	19	form	form	NOUN
fis-85	225	20	,	,	PUNCT
fis-85	225	21	whilst	whilst	SCONJ
fis-85	225	22	variational	variational	ADJ
fis-85	225	23	fracture	fracture	NOUN
fis-85	225	24	does	do	VERB
fis-85	225	25	.	.	PUNCT
fis-85	226	1	figure	figure	VERB
fis-85	226	2	14	14	NUM
fis-85	226	3	:	:	PUNCT
fis-85	226	4	strip	strip	VERB
fis-85	226	5	with	with	ADP
fis-85	226	6	a	a	DET
fis-85	226	7	straight	straight	ADJ
fis-85	226	8	crack	crack	NOUN
fis-85	226	9	under	under	ADP
fis-85	226	10	mixed	mixed	ADJ
fis-85	226	11	mode	mode	PROPN
fis-85	226	12	b.c	b.c	PROPN
fis-85	226	13	.	.	PROPN
fis-85	226	14	t	t	PROPN
fis-85	226	15	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	226	16	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	226	17	m.	m.	NOUN
fis-85	226	18	angelillo	angelillo	VERB
fis-85	226	19	et	et	PROPN
fis-85	226	20	alii	alii	PROPN
fis-85	226	21	,	,	PUNCT
fis-85	226	22	frattura	frattura	PROPN
fis-85	226	23	ed	ed	PROPN
fis-85	226	24	integrità	integrità	PROPN
fis-85	226	25	strutturale	strutturale	PROPN
fis-85	226	26	,	,	PUNCT
fis-85	226	27	12	12	NUM
fis-85	226	28	(	(	PUNCT
fis-85	226	29	2010	2010	NUM
fis-85	226	30	)	)	PUNCT
fis-85	226	31	63	63	NUM
fis-85	226	32	-	-	SYM
fis-85	226	33	78	78	NUM
fis-85	226	34	;	;	PUNCT
fis-85	227	1	doi	doi	NOUN
fis-85	227	2	:	:	PUNCT
fis-85	227	3	10.3221	10.3221	NUM
fis-85	227	4	/	/	SYM
fis-85	227	5	igf	igf	PROPN
fis-85	227	6	-	-	ADJ
fis-85	227	7	esis.12.07	esis.12.07	ADJ
fis-85	227	8	74	74	NUM
fis-85	227	9	photoelastic	photoelastic	ADJ
fis-85	227	10	images	image	NOUN
fis-85	227	11	of	of	ADP
fis-85	227	12	a	a	DET
fis-85	227	13	strip	strip	NOUN
fis-85	227	14	,	,	PUNCT
fis-85	227	15	of	of	ADP
fis-85	227	16	the	the	DET
fis-85	227	17	type	type	NOUN
fis-85	227	18	of	of	ADP
fis-85	227	19	fig	fig	NOUN
fis-85	227	20	.	.	PUNCT
fis-85	228	1	14	14	NUM
fis-85	228	2	,	,	PUNCT
fis-85	228	3	with	with	ADP
fis-85	228	4	a	a	DET
fis-85	228	5	preexisting	preexist	VERB
fis-85	228	6	straight	straight	ADJ
fis-85	228	7	crack	crack	NOUN
fis-85	228	8	at	at	ADP
fis-85	228	9	=40	=40	NOUN
fis-85	228	10	°	°	NOUN
fis-85	228	11	,	,	PUNCT
fis-85	228	12	are	be	AUX
fis-85	228	13	shown	show	VERB
fis-85	228	14	in	in	ADP
fis-85	228	15	fig	fig	NOUN
fis-85	228	16	.	.	PUNCT
fis-85	229	1	15	15	NUM
fis-85	229	2	,	,	PUNCT
fis-85	229	3	where	where	SCONJ
fis-85	229	4	the	the	DET
fis-85	229	5	interferometric	interferometric	ADJ
fis-85	229	6	fringes	fringe	NOUN
fis-85	229	7	before	before	ADV
fis-85	229	8	and	and	CCONJ
fis-85	229	9	after	after	ADP
fis-85	229	10	crack	crack	NOUN
fis-85	229	11	propagation	propagation	NOUN
fis-85	229	12	are	be	AUX
fis-85	229	13	reported	report	VERB
fis-85	229	14	.	.	PUNCT
fis-85	230	1	(	(	PUNCT
fis-85	230	2	a	a	X
fis-85	230	3	)	)	PUNCT
fis-85	230	4	(	(	PUNCT
fis-85	230	5	b	b	X
fis-85	230	6	)	)	PUNCT
fis-85	230	7	figure	figure	NOUN
fis-85	230	8	15	15	NUM
fis-85	230	9	:	:	PUNCT
fis-85	230	10	photoelastic	photoelastic	ADJ
fis-85	230	11	images	image	NOUN
fis-85	230	12	for	for	ADP
fis-85	230	13	a	a	DET
fis-85	230	14	straight	straight	ADJ
fis-85	230	15	crack	crack	NOUN
fis-85	230	16	in	in	ADP
fis-85	230	17	mixed	mixed	ADJ
fis-85	230	18	mode	mode	NOUN
fis-85	230	19	i&ii	i&ii	NOUN
fis-85	230	20	.	.	PUNCT
fis-85	231	1	fringe	fringe	NOUN
fis-85	231	2	pattern	pattern	NOUN
fis-85	231	3	before	before	ADP
fis-85	231	4	cracking	crack	VERB
fis-85	231	5	(	(	PUNCT
fis-85	231	6	a	a	NOUN
fis-85	231	7	)	)	PUNCT
fis-85	231	8	and	and	CCONJ
fis-85	231	9	after	after	ADP
fis-85	231	10	kinking	kinking	NOUN
fis-85	231	11	(	(	PUNCT
fis-85	231	12	b	b	NOUN
fis-85	231	13	)	)	PUNCT
fis-85	231	14	.	.	PUNCT
fis-85	232	1	from	from	ADP
fis-85	232	2	al	al	PROPN
fis-85	232	3	bin	bin	PROPN
fis-85	232	4	mousa	mousa	PROPN
fis-85	233	1	[	[	X
fis-85	233	2	13	13	NUM
fis-85	233	3	]	]	PUNCT
fis-85	233	4	.	.	PUNCT
fis-85	234	1	with	with	ADP
fis-85	234	2	the	the	DET
fis-85	234	3	mts	mts	NOUN
fis-85	234	4	-	-	PUNCT
fis-85	234	5	criterion	criterion	NOUN
fis-85	234	6	the	the	DET
fis-85	234	7	angle	angle	NOUN
fis-85	234	8	of	of	ADP
fis-85	234	9	kinking	kinking	NOUN
fis-85	234	10	,	,	PUNCT
fis-85	234	11	in	in	ADP
fis-85	234	12	terms	term	NOUN
fis-85	234	13	of	of	ADP
fis-85	234	14	the	the	DET
fis-85	234	15	stress	stress	NOUN
fis-85	234	16	intensity	intensity	NOUN
fis-85	234	17	factor	factor	NOUN
fis-85	234	18	(	(	PUNCT
fis-85	234	19	sif	sif	PROPN
fis-85	234	20	)	)	PUNCT
fis-85	234	21	ratio	ratio	NOUN
fis-85	234	22	=k2	=k2	PROPN
fis-85	234	23	/	/	SYM
fis-85	234	24	k1	k1	PROPN
fis-85	234	25	,	,	PUNCT
fis-85	234	26	is	be	AUX
fis-85	234	27	given	give	VERB
fis-85	234	28	by	by	ADP
fis-85	234	29			PROPN
fis-85	234	30			PROPN
fis-85	234	31			NOUN
fis-85	235	1			PROPN
fis-85	235	2			PROPN
fis-85	235	3			PROPN
fis-85	236	1			PROPN
fis-85	236	2			NOUN
fis-85	236	3			NOUN
fis-85	236	4			NUM
fis-85	236	5			NOUN
fis-85	236	6			NOUN
fis-85	236	7			NOUN
fis-85	236	8	4	4	NUM
fis-85	236	9	811	811	NUM
fis-85	236	10	tan	tan	NOUN
fis-85	236	11	2	2	NUM
fis-85	236	12	arc	arc	NOUN
fis-85	236	13	(	(	PUNCT
fis-85	236	14	7	7	NUM
fis-85	236	15	)	)	PUNCT
fis-85	236	16	with	with	ADP
fis-85	236	17	the	the	DET
fis-85	236	18	gmax	gmax	NOUN
fis-85	236	19	-	-	PUNCT
fis-85	236	20	criterion	criterion	NOUN
fis-85	236	21	the	the	DET
fis-85	236	22	angle	angle	NOUN
fis-85	236	23	of	of	ADP
fis-85	236	24	kinking	kinking	NOUN
fis-85	236	25	,	,	PUNCT
fis-85	236	26	in	in	ADP
fis-85	236	27	terms	term	NOUN
fis-85	236	28	of	of	ADP
fis-85	236	29	the	the	DET
fis-85	236	30	sif	sif	PROPN
fis-85	236	31	ratio	ratio	PROPN
fis-85	236	32	=k2	=k2	PROPN
fis-85	236	33	/	/	SYM
fis-85	236	34	k1	k1	PROPN
fis-85	236	35	,	,	PUNCT
fis-85	236	36	is	be	AUX
fis-85	236	37	given	give	VERB
fis-85	236	38	by	by	ADP
fis-85	236	39			NOUN
fis-85	236	40			NOUN
fis-85	236	41			PROPN
fis-85	236	42			PROPN
fis-85	236	43			PROPN
fis-85	236	44			NOUN
fis-85	236	45			ADV
fis-85	236	46			PROPN
fis-85	236	47	21	21	NUM
fis-85	236	48	2	2	NUM
fis-85	236	49	tan	tan	NOUN
fis-85	236	50			NOUN
fis-85	236	51			NUM
fis-85	236	52	arc	arc	NOUN
fis-85	236	53	(	(	PUNCT
fis-85	236	54	8)	8)	NUM
fis-85	236	55	a	a	DET
fis-85	236	56	plot	plot	NOUN
fis-85	236	57	of	of	ADP
fis-85	236	58	the	the	DET
fis-85	236	59	kink	kink	PROPN
fis-85	236	60	angle	angle	NOUN
fis-85	236	61	as	as	ADP
fis-85	236	62	a	a	DET
fis-85	236	63	function	function	NOUN
fis-85	236	64	of	of	ADP
fis-85	236	65	the	the	DET
fis-85	236	66	sif	sif	PROPN
fis-85	236	67	ratio	ratio	NOUN
fis-85	236	68	is	be	AUX
fis-85	236	69	reported	report	VERB
fis-85	236	70	in	in	ADP
fis-85	236	71	fig	fig	NOUN
fis-85	236	72	.	.	PUNCT
fis-85	237	1	16	16	NUM
fis-85	237	2	,	,	PUNCT
fis-85	237	3	where	where	SCONJ
fis-85	237	4	also	also	ADV
fis-85	237	5	a	a	DET
fis-85	237	6	comparison	comparison	NOUN
fis-85	237	7	with	with	ADP
fis-85	237	8	some	some	DET
fis-85	237	9	experimental	experimental	ADJ
fis-85	237	10	results	result	NOUN
fis-85	237	11	,	,	PUNCT
fis-85	237	12	taken	take	VERB
fis-85	237	13	from	from	ADP
fis-85	237	14	the	the	DET
fis-85	237	15	literature	literature	NOUN
fis-85	237	16	and	and	CCONJ
fis-85	237	17	collected	collect	VERB
fis-85	237	18	by	by	ADP
fis-85	237	19	al	al	PROPN
fis-85	237	20	bin	bin	PROPN
fis-85	237	21	mousa	mousa	PROPN
fis-85	237	22	in	in	ADP
fis-85	237	23	[	[	X
fis-85	237	24	13	13	NUM
fis-85	237	25	]	]	PUNCT
fis-85	237	26	,	,	PUNCT
fis-85	237	27	is	be	AUX
fis-85	237	28	shown	show	VERB
fis-85	237	29	.	.	PUNCT
fis-85	238	1	(	(	PUNCT
fis-85	238	2	a	a	X
fis-85	238	3	)	)	PUNCT
fis-85	238	4	(	(	PUNCT
fis-85	238	5	b	b	X
fis-85	238	6	)	)	PUNCT
fis-85	238	7	(	(	PUNCT
fis-85	238	8	c	c	X
fis-85	238	9	)	)	PUNCT
fis-85	238	10	figure	figure	NOUN
fis-85	238	11	16	16	NUM
fis-85	238	12	:	:	PUNCT
fis-85	238	13	plots	plot	NOUN
fis-85	238	14	of	of	ADP
fis-85	238	15	the	the	DET
fis-85	238	16	kinking	kinking	NOUN
fis-85	238	17	angles	angle	NOUN
fis-85	238	18	versus	versus	ADP
fis-85	238	19	the	the	DET
fis-85	238	20	sif	sif	NOUN
fis-85	238	21	ratio	ratio	NOUN
fis-85	238	22	(	(	PUNCT
fis-85	238	23	a	a	NOUN
fis-85	238	24	)	)	PUNCT
fis-85	238	25	,	,	PUNCT
fis-85	238	26	lower	low	ADJ
fis-85	238	27	curve	curve	NOUN
fis-85	238	28	:	:	PUNCT
fis-85	238	29	gmax	gmax	NOUN
fis-85	238	30	-	-	PUNCT
fis-85	238	31	criterion	criterion	NOUN
fis-85	238	32	,	,	PUNCT
fis-85	238	33	upper	upper	ADJ
fis-85	238	34	curve	curve	NOUN
fis-85	238	35	:	:	PUNCT
fis-85	238	36	mts	mts	NOUN
fis-85	238	37	-	-	PUNCT
fis-85	238	38	criterion	criterion	NOUN
fis-85	238	39	.	.	PUNCT
fis-85	239	1	comparisons	comparison	NOUN
fis-85	239	2	of	of	ADP
fis-85	239	3	the	the	DET
fis-85	239	4	theoretical	theoretical	ADJ
fis-85	239	5	curves	curve	NOUN
fis-85	239	6	with	with	ADP
fis-85	239	7	experimental	experimental	ADJ
fis-85	239	8	results	result	NOUN
fis-85	239	9	(	(	PUNCT
fis-85	239	10	b	b	NOUN
fis-85	239	11	)	)	PUNCT
fis-85	239	12	.	.	PUNCT
fis-85	240	1	the	the	DET
fis-85	240	2	graph	graph	NOUN
fis-85	240	3	(	(	PUNCT
fis-85	240	4	b	b	NOUN
fis-85	240	5	)	)	PUNCT
fis-85	240	6	is	be	AUX
fis-85	240	7	taken	take	VERB
fis-85	240	8	from	from	ADP
fis-85	240	9	al	al	PROPN
fis-85	240	10	bib	bib	PROPN
fis-85	240	11	mousa	mousa	PROPN
fis-85	241	1	[	[	X
fis-85	241	2	13	13	NUM
fis-85	241	3	]	]	PUNCT
fis-85	241	4	and	and	CCONJ
fis-85	241	5	“	"	PUNCT
fis-85	241	6	present	present	ADJ
fis-85	241	7	work	work	NOUN
fis-85	241	8	”	"	PUNCT
fis-85	241	9	in	in	ADP
fis-85	241	10	the	the	DET
fis-85	241	11	legend	legend	NOUN
fis-85	241	12	(	(	PUNCT
fis-85	241	13	c	c	NOUN
fis-85	241	14	)	)	PUNCT
fis-85	241	15	refers	refer	VERB
fis-85	241	16	to	to	ADP
fis-85	241	17	[	[	X
fis-85	241	18	13	13	NUM
fis-85	241	19	]	]	PUNCT
fis-85	241	20	.	.	PUNCT
fis-85	242	1	the	the	DET
fis-85	242	2	case	case	NOUN
fis-85	242	3	represented	represent	VERB
fis-85	242	4	in	in	ADP
fis-85	242	5	fig	fig	NOUN
fis-85	242	6	.	.	PUNCT
fis-85	243	1	1	1	NUM
fis-85	243	2	,	,	PUNCT
fis-85	243	3	with	with	SCONJ
fis-85	243	4	h	h	NOUN
fis-85	243	5	=	=	SYM
fis-85	243	6	b	b	NOUN
fis-85	243	7	=	=	PROPN
fis-85	243	8	l	l	NOUN
fis-85	243	9	,	,	PUNCT
fis-85	243	10	sh=(1)	sh=(1)	PROPN
fis-85	243	11	and	and	CCONJ
fis-85	243	12	vh=(1)	vh=(1)	NUM
fis-85	243	13	,	,	PUNCT
fis-85	243	14	is	be	AUX
fis-85	243	15	then	then	ADV
fis-85	243	16	solved	solve	VERB
fis-85	243	17	with	with	ADP
fis-85	243	18	our	our	PRON
fis-85	243	19	computer	computer	NOUN
fis-85	243	20	model	model	NOUN
fis-85	243	21	.	.	PUNCT
fis-85	244	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	244	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	244	3	m.	m.	NOUN
fis-85	244	4	angelillo	angelillo	VERB
fis-85	244	5	et	et	PROPN
fis-85	244	6	alii	alii	PROPN
fis-85	244	7	,	,	PUNCT
fis-85	244	8	frattura	frattura	PROPN
fis-85	244	9	ed	ed	PROPN
fis-85	244	10	integrità	integrità	PROPN
fis-85	244	11	strutturale	strutturale	PROPN
fis-85	244	12	,	,	PUNCT
fis-85	244	13	12	12	NUM
fis-85	244	14	(	(	PUNCT
fis-85	244	15	2010	2010	NUM
fis-85	244	16	)	)	PUNCT
fis-85	244	17	63	63	NUM
fis-85	244	18	-	-	SYM
fis-85	244	19	78	78	NUM
fis-85	244	20	;	;	PUNCT
fis-85	244	21	doi	doi	NOUN
fis-85	244	22	:	:	PUNCT
fis-85	244	23	10.3221	10.3221	NUM
fis-85	244	24	/	/	SYM
fis-85	244	25	igf	igf	PROPN
fis-85	244	26	-	-	ADJ
fis-85	244	27	esis.12.07	esis.12.07	ADJ
fis-85	244	28	75	75	NUM
fis-85	244	29	(	(	PUNCT
fis-85	244	30	a	a	NOUN
fis-85	244	31	)	)	PUNCT
fis-85	244	32	(	(	PUNCT
fis-85	244	33	b	b	X
fis-85	244	34	)	)	PUNCT
fis-85	244	35	figure	figure	NOUN
fis-85	244	36	17	17	NUM
fis-85	244	37	:	:	PUNCT
fis-85	244	38	kinking	kinking	NOUN
fis-85	244	39	of	of	ADP
fis-85	244	40	a	a	DET
fis-85	244	41	straight	straight	ADJ
fis-85	244	42	crack	crack	NOUN
fis-85	244	43	in	in	ADP
fis-85	244	44	mixed	mixed	ADJ
fis-85	244	45	mode	mode	NOUN
fis-85	245	1	i	i	PROPN
fis-85	245	2	&	&	CCONJ
fis-85	245	3	ii	ii	PROPN
fis-85	245	4	before	before	ADP
fis-85	245	5	kinking	kinking	PROPN
fis-85	245	6	(	(	PUNCT
fis-85	245	7	a	a	NOUN
fis-85	245	8	)	)	PUNCT
fis-85	245	9	,	,	PUNCT
fis-85	245	10	after	after	ADP
fis-85	245	11	kinking	kinking	PROPN
fis-85	245	12	(	(	PUNCT
fis-85	245	13	b	b	NOUN
fis-85	245	14	)	)	PUNCT
fis-85	245	15	.	.	PUNCT
fis-85	246	1	the	the	DET
fis-85	246	2	elastic	elastic	ADJ
fis-85	246	3	domain	domain	NOUN
fis-85	246	4	is	be	AUX
fis-85	246	5	discretized	discretize	VERB
fis-85	246	6	with	with	ADP
fis-85	246	7	a	a	DET
fis-85	246	8	non	non	ADJ
fis-85	246	9	-	-	ADJ
fis-85	246	10	structured	structured	ADJ
fis-85	246	11	triangulation	triangulation	NOUN
fis-85	246	12	,	,	PUNCT
fis-85	246	13	as	as	SCONJ
fis-85	246	14	shown	show	VERB
fis-85	246	15	in	in	ADP
fis-85	246	16	fig	fig	NOUN
fis-85	246	17	.	.	PUNCT
fis-85	247	1	17a	17a	PROPN
fis-85	247	2	where	where	SCONJ
fis-85	247	3	also	also	ADV
fis-85	247	4	the	the	DET
fis-85	247	5	stress	stress	NOUN
fis-85	247	6	level	level	NOUN
fis-85	247	7	is	be	AUX
fis-85	247	8	represented	represent	VERB
fis-85	247	9	in	in	ADP
fis-85	247	10	a	a	DET
fis-85	247	11	gray	gray	ADJ
fis-85	247	12	scale	scale	NOUN
fis-85	247	13	.	.	PUNCT
fis-85	248	1	the	the	DET
fis-85	248	2	given	give	VERB
fis-85	248	3	displacement	displacement	NOUN
fis-85	248	4	is	be	AUX
fis-85	248	5	discretized	discretize	VERB
fis-85	248	6	into	into	ADP
fis-85	248	7	100	100	NUM
fis-85	248	8	steps	step	NOUN
fis-85	248	9	and	and	CCONJ
fis-85	248	10	the	the	DET
fis-85	248	11	deformation	deformation	NOUN
fis-85	248	12	at	at	ADP
fis-85	248	13	each	each	DET
fis-85	248	14	step	step	NOUN
fis-85	248	15	is	be	AUX
fis-85	248	16	determined	determine	VERB
fis-85	248	17	by	by	ADP
fis-85	248	18	minimizing	minimize	VERB
fis-85	248	19	the	the	DET
fis-85	248	20	energy	energy	NOUN
fis-85	248	21	with	with	ADP
fis-85	248	22	a	a	DET
fis-85	248	23	descent	descent	NOUN
fis-85	248	24	algorithm	algorithm	NOUN
fis-85	248	25	.	.	PUNCT
fis-85	249	1	denoting	denote	VERB
fis-85	249	2	m	m	AUX
fis-85	249	3	the	the	DET
fis-85	249	4	total	total	ADJ
fis-85	249	5	number	number	NOUN
fis-85	249	6	of	of	ADP
fis-85	249	7	triangles	triangle	NOUN
fis-85	249	8	in	in	ADP
fis-85	249	9	the	the	DET
fis-85	249	10	mesh	mesh	NOUN
fis-85	249	11	and	and	CCONJ
fis-85	249	12	n	n	DET
fis-85	249	13	the	the	DET
fis-85	249	14	total	total	ADJ
fis-85	249	15	number	number	NOUN
fis-85	249	16	of	of	ADP
fis-85	249	17	nodes	node	NOUN
fis-85	249	18	,	,	PUNCT
fis-85	249	19	the	the	DET
fis-85	249	20	energy	energy	NOUN
fis-85	249	21	to	to	PART
fis-85	249	22	be	be	AUX
fis-85	249	23	minimized	minimize	VERB
fis-85	249	24	is	be	AUX
fis-85	249	25	a	a	DET
fis-85	249	26	function	function	NOUN
fis-85	249	27	of	of	ADP
fis-85	249	28	(	(	PUNCT
fis-85	249	29	2	2	NUM
fis-85	249	30	)	)	PUNCT
fis-85	249	31	3	3	NUM
fis-85	249	32	m	m	NOUN
fis-85	249	33	nodal	nodal	NOUN
fis-85	249	34	displacements	displacement	NOUN
fis-85	249	35	u1(n	u1(n	NOUN
fis-85	249	36	)	)	PUNCT
fis-85	249	37	,	,	PUNCT
fis-85	249	38	u2(n	u2(n	SYM
fis-85	249	39	)	)	PUNCT
fis-85	249	40	(	(	PUNCT
fis-85	249	41	n=1,2,	n=1,2,	NOUN
fis-85	249	42	..	..	PUNCT
fis-85	249	43	,3	,3	NOUN
fis-85	249	44	m	m	PROPN
fis-85	249	45	)	)	PUNCT
fis-85	249	46	and	and	CCONJ
fis-85	249	47	of	of	ADP
fis-85	249	48	2	2	NUM
fis-85	249	49	n	n	DET
fis-85	249	50	nodal	nodal	NOUN
fis-85	249	51	positions	position	NOUN
fis-85	249	52	in	in	ADP
fis-85	249	53	the	the	DET
fis-85	249	54	reference	reference	NOUN
fis-85	249	55	configuration	configuration	NOUN
fis-85	249	56	x1(m	x1(m	PROPN
fis-85	249	57	)	)	PUNCT
fis-85	249	58	,	,	PUNCT
fis-85	249	59	x2(m	x2(m	X
fis-85	249	60	)	)	PUNCT
fis-85	249	61	(	(	PUNCT
fis-85	249	62	m=1,2,	m=1,2,	NOUN
fis-85	249	63	..	..	PUNCT
fis-85	249	64	,n	,n	NUM
fis-85	249	65	)	)	PUNCT
fis-85	249	66	.	.	PUNCT
fis-85	250	1	the	the	DET
fis-85	250	2	energy	energy	NOUN
fis-85	250	3	is	be	AUX
fis-85	250	4	a	a	DET
fis-85	250	5	complex	complex	ADJ
fis-85	250	6	,	,	PUNCT
fis-85	250	7	non	non	ADJ
fis-85	250	8	convex	convex	NOUN
fis-85	250	9	function	function	NOUN
fis-85	250	10	of	of	ADP
fis-85	250	11	its	its	PRON
fis-85	250	12	arguments	argument	NOUN
fis-85	250	13	with	with	ADP
fis-85	250	14	a	a	DET
fis-85	250	15	lot	lot	NOUN
fis-85	250	16	of	of	ADP
fis-85	250	17	local	local	ADJ
fis-85	250	18	minima	minima	PROPN
fis-85	251	1	.	.	PUNCT
fis-85	251	2	fig	fig	PROPN
fis-85	251	3	.	.	PUNCT
fis-85	252	1	17a	17a	PROPN
fis-85	252	2	shows	show	VERB
fis-85	252	3	the	the	DET
fis-85	252	4	deformation	deformation	NOUN
fis-85	252	5	and	and	CCONJ
fis-85	252	6	stress	stress	NOUN
fis-85	252	7	at	at	ADP
fis-85	252	8	the	the	DET
fis-85	252	9	onset	onset	NOUN
fis-85	252	10	of	of	ADP
fis-85	252	11	propagation	propagation	NOUN
fis-85	252	12	.	.	PUNCT
fis-85	253	1	the	the	DET
fis-85	253	2	propagation	propagation	NOUN
fis-85	253	3	of	of	ADP
fis-85	253	4	the	the	DET
fis-85	253	5	crack	crack	NOUN
fis-85	253	6	just	just	ADV
fis-85	253	7	before	before	SCONJ
fis-85	253	8	dynamical	dynamical	ADJ
fis-85	253	9	instabilization	instabilization	NOUN
fis-85	253	10	is	be	AUX
fis-85	253	11	shown	show	VERB
fis-85	253	12	in	in	ADP
fis-85	253	13	fig	fig	NOUN
fis-85	253	14	.	.	PUNCT
fis-85	254	1	17b	17b	NUM
fis-85	254	2	.	.	PUNCT
fis-85	255	1	the	the	DET
fis-85	255	2	kink	kink	PROPN
fis-85	255	3	angle	angle	NOUN
fis-85	255	4	predicted	predict	VERB
fis-85	255	5	by	by	ADP
fis-85	255	6	our	our	PRON
fis-85	255	7	model	model	NOUN
fis-85	255	8	is	be	AUX
fis-85	255	9	30.46	30.46	NUM
fis-85	255	10	°	°	NOUN
fis-85	255	11	.	.	PUNCT
fis-85	256	1	from	from	ADP
fis-85	256	2	the	the	DET
fis-85	256	3	deformed	deform	VERB
fis-85	256	4	state	state	NOUN
fis-85	256	5	of	of	ADP
fis-85	256	6	fig	fig	NOUN
fis-85	256	7	.	.	PUNCT
fis-85	257	1	17	17	NUM
fis-85	257	2	the	the	DET
fis-85	257	3	sif	sif	PROPN
fis-85	257	4	’s	’s	PART
fis-85	257	5	k1	k1	PROPN
fis-85	257	6	,	,	PUNCT
fis-85	257	7	k2	k2	PROPN
fis-85	257	8	can	can	AUX
fis-85	257	9	be	be	AUX
fis-85	257	10	derived	derive	VERB
fis-85	257	11	approximately	approximately	ADV
fis-85	257	12	by	by	ADP
fis-85	257	13	computing	compute	VERB
fis-85	257	14	the	the	DET
fis-85	257	15	j	j	PROPN
fis-85	257	16	-	-	NOUN
fis-85	257	17	integral	integral	ADJ
fis-85	257	18	.	.	PUNCT
fis-85	258	1	the	the	DET
fis-85	258	2	values	value	NOUN
fis-85	258	3	obtained	obtain	VERB
fis-85	258	4	for	for	ADP
fis-85	258	5	k1	k1	NOUN
fis-85	258	6	,	,	PUNCT
fis-85	258	7	k2	k2	PROPN
fis-85	258	8	are	be	AUX
fis-85	258	9	k1	k1	PROPN
fis-85	258	10	=	=	SYM
fis-85	258	11	1.3176	1.3176	NUM
fis-85	258	12	,	,	PUNCT
fis-85	258	13	k2	k2	NOUN
fis-85	258	14	=	=	NOUN
fis-85	258	15	0.4288	0.4288	NUM
fis-85	258	16	for	for	ADP
fis-85	258	17	these	these	DET
fis-85	258	18	values	value	NOUN
fis-85	258	19	the	the	DET
fis-85	258	20	kink	kink	PROPN
fis-85	258	21	angle	angle	NOUN
fis-85	258	22	predicted	predict	VERB
fis-85	258	23	by	by	ADP
fis-85	258	24	mts	mts	NOUN
fis-85	258	25	and	and	CCONJ
fis-85	258	26	gmax	gmax	NOUN
fis-85	258	27	criteria	criterion	NOUN
fis-85	258	28	can	can	AUX
fis-85	258	29	be	be	AUX
fis-85	258	30	computed	compute	VERB
fis-85	258	31	from	from	ADP
fis-85	258	32	(	(	PUNCT
fis-85	258	33	7	7	NUM
fis-85	258	34	)	)	PUNCT
fis-85	258	35	and	and	CCONJ
fis-85	258	36	(	(	PUNCT
fis-85	258	37	8)	8)	NUM
fis-85	258	38	.	.	PUNCT
fis-85	259	1	in	in	ADP
fis-85	259	2	tab	tab	NOUN
fis-85	259	3	.	.	PUNCT
fis-85	259	4	2	2	NUM
fis-85	259	5	the	the	DET
fis-85	259	6	theoretical	theoretical	ADJ
fis-85	259	7	and	and	CCONJ
fis-85	259	8	numerical	numerical	ADJ
fis-85	259	9	values	value	NOUN
fis-85	259	10	obtained	obtain	VERB
fis-85	259	11	in	in	ADP
fis-85	259	12	this	this	DET
fis-85	259	13	case	case	NOUN
fis-85	259	14	are	be	AUX
fis-85	259	15	compared	compare	VERB
fis-85	259	16	.	.	PUNCT
fis-85	260	1	mts	mts	PROPN
fis-85	260	2	gmax	gmax	PROPN
fis-85	260	3	numerical	numerical	PROPN
fis-85	260	4	30.84	30.84	NUM
fis-85	260	5	°	°	NOUN
fis-85	260	6	30.48	30.48	NUM
fis-85	260	7	°	°	NOUN
fis-85	260	8	30.46	30.46	NUM
fis-85	260	9	°	°	ADP
fis-85	260	10	table	table	NOUN
fis-85	260	11	2	2	NUM
fis-85	260	12	:	:	PUNCT
fis-85	260	13	kinking	kink	VERB
fis-85	260	14	angle	angle	NOUN
fis-85	260	15	with	with	ADP
fis-85	260	16	mts	mts	NOUN
fis-85	260	17	,	,	PUNCT
fis-85	260	18	gmax	gmax	NOUN
fis-85	260	19	criteria	criterion	NOUN
fis-85	260	20	and	and	CCONJ
fis-85	260	21	from	from	ADP
fis-85	260	22	fem	fem	NOUN
fis-85	260	23	analysis	analysis	NOUN
fis-85	260	24	.	.	PUNCT
fis-85	261	1	we	we	PRON
fis-85	261	2	see	see	VERB
fis-85	261	3	that	that	SCONJ
fis-85	261	4	our	our	PRON
fis-85	261	5	analysis	analysis	NOUN
fis-85	261	6	reproduces	reproduce	VERB
fis-85	261	7	closely	closely	ADV
fis-85	261	8	the	the	DET
fis-85	261	9	gmax	gmax	NOUN
fis-85	261	10	-	-	PUNCT
fis-85	261	11	criterion	criterion	NOUN
fis-85	261	12	.	.	PUNCT
fis-85	262	1	the	the	DET
fis-85	262	2	last	last	ADJ
fis-85	262	3	results	result	NOUN
fis-85	262	4	we	we	PRON
fis-85	262	5	present	present	VERB
fis-85	262	6	are	be	AUX
fis-85	262	7	concerned	concern	VERB
fis-85	262	8	with	with	ADP
fis-85	262	9	the	the	DET
fis-85	262	10	convergence	convergence	NOUN
fis-85	262	11	analysis	analysis	NOUN
fis-85	262	12	relative	relative	ADJ
fis-85	262	13	to	to	ADP
fis-85	262	14	the	the	DET
fis-85	262	15	kinking	kinking	PROPN
fis-85	262	16	angle	angle	PROPN
fis-85	262	17	assessment	assessment	NOUN
fis-85	262	18	.	.	PUNCT
fis-85	263	1	the	the	DET
fis-85	263	2	problem	problem	NOUN
fis-85	263	3	is	be	AUX
fis-85	263	4	essentially	essentially	ADV
fis-85	263	5	the	the	DET
fis-85	263	6	same	same	ADJ
fis-85	263	7	of	of	ADP
fis-85	263	8	fig	fig	NOUN
fis-85	263	9	.	.	PUNCT
fis-85	264	1	17	17	NUM
fis-85	264	2	,	,	PUNCT
fis-85	264	3	except	except	SCONJ
fis-85	264	4	for	for	ADP
fis-85	264	5	the	the	DET
fis-85	264	6	signs	sign	NOUN
fis-85	264	7	of	of	ADP
fis-85	264	8	the	the	DET
fis-85	264	9	given	give	VERB
fis-85	264	10	displacements	displacement	NOUN
fis-85	264	11	:	:	PUNCT
fis-85	265	1	sh=(-1)	sh=(-1)	NOUN
fis-85	265	2	and	and	CCONJ
fis-85	265	3	vh=(1).	vh=(1).	ADP
fis-85	265	4	the	the	DET
fis-85	265	5	“	"	PUNCT
fis-85	265	6	loading	loading	NOUN
fis-85	265	7	”	"	PUNCT
fis-85	265	8	history	history	NOUN
fis-85	265	9	is	be	AUX
fis-85	265	10	again	again	ADV
fis-85	265	11	discretized	discretize	VERB
fis-85	265	12	into	into	ADP
fis-85	265	13	loading	loading	NOUN
fis-85	265	14	steps	step	NOUN
fis-85	265	15	but	but	CCONJ
fis-85	265	16	the	the	DET
fis-85	265	17	analysis	analysis	NOUN
fis-85	265	18	is	be	AUX
fis-85	265	19	stopped	stop	VERB
fis-85	265	20	as	as	ADV
fis-85	265	21	soon	soon	ADV
fis-85	265	22	as	as	SCONJ
fis-85	265	23	the	the	DET
fis-85	265	24	crack	crack	NOUN
fis-85	265	25	propagates	propagate	VERB
fis-85	265	26	.	.	PUNCT
fis-85	266	1	the	the	DET
fis-85	266	2	domain	domain	NOUN
fis-85	266	3			PROPN
fis-85	266	4	is	be	AUX
fis-85	266	5	discretized	discretize	VERB
fis-85	266	6	with	with	ADP
fis-85	266	7	structured	structured	ADJ
fis-85	266	8	meshes	mesh	NOUN
fis-85	266	9	of	of	ADP
fis-85	266	10	decreasing	decrease	VERB
fis-85	266	11	mesh	mesh	NOUN
fis-85	266	12	size	size	NOUN
fis-85	266	13	h	h	NOUN
fis-85	266	14	:	:	PUNCT
fis-85	266	15	h=	h=	NOUN
fis-85	266	16	l/12	l/12	ADP
fis-85	266	17	2	2	NUM
fis-85	266	18	,	,	PUNCT
fis-85	266	19	l/16	l/16	PROPN
fis-85	266	20	2	2	NUM
fis-85	266	21	,	,	PUNCT
fis-85	266	22	l/20	l/20	PROPN
fis-85	266	23	2	2	NUM
fis-85	266	24	,	,	PUNCT
fis-85	266	25	l/48	l/48	NOUN
fis-85	266	26	2	2	NUM
fis-85	266	27	.	.	PUNCT
fis-85	267	1	the	the	DET
fis-85	267	2	results	result	NOUN
fis-85	267	3	of	of	ADP
fis-85	267	4	these	these	DET
fis-85	267	5	three	three	NUM
fis-85	267	6	analysis	analysis	NOUN
fis-85	267	7	are	be	AUX
fis-85	267	8	reported	report	VERB
fis-85	267	9	in	in	ADP
fis-85	267	10	figs	fig	NOUN
fis-85	267	11	.	.	PUNCT
fis-85	268	1	18	18	NUM
fis-85	268	2	,	,	PUNCT
fis-85	268	3	19	19	NUM
fis-85	268	4	,	,	PUNCT
fis-85	268	5	20	20	NUM
fis-85	268	6	,	,	PUNCT
fis-85	268	7	21	21	NUM
fis-85	268	8	.	.	PUNCT
fis-85	269	1	from	from	ADP
fis-85	269	2	these	these	DET
fis-85	269	3	pictures	picture	NOUN
fis-85	269	4	we	we	PRON
fis-85	269	5	see	see	VERB
fis-85	269	6	that	that	SCONJ
fis-85	269	7	the	the	DET
fis-85	269	8	kinking	kinking	PROPN
fis-85	269	9	angle	angle	NOUN
fis-85	269	10	goes	go	VERB
fis-85	269	11	from	from	ADP
fis-85	269	12	38.30	38.30	NUM
fis-85	269	13	°	°	NUM
fis-85	269	14	degrees	degree	NOUN
fis-85	269	15	for	for	ADP
fis-85	269	16	the	the	DET
fis-85	269	17	coarser	coarse	ADJ
fis-85	269	18	mesh	mesh	NOUN
fis-85	269	19	to	to	ADP
fis-85	269	20	the	the	DET
fis-85	269	21	value	value	NOUN
fis-85	269	22	of	of	ADP
fis-85	269	23	31.18	31.18	NUM
fis-85	269	24	°	°	NOUN
fis-85	269	25	of	of	ADP
fis-85	269	26	the	the	DET
fis-85	269	27	finest	fine	ADJ
fis-85	269	28	one	one	NUM
fis-85	269	29	.	.	PUNCT
fis-85	270	1	the	the	DET
fis-85	270	2	value	value	NOUN
fis-85	270	3	obtained	obtain	VERB
fis-85	270	4	converges	converge	NOUN
fis-85	270	5	toward	toward	ADP
fis-85	270	6	the	the	DET
fis-85	270	7	value	value	NOUN
fis-85	270	8	predicted	predict	VERB
fis-85	270	9	by	by	ADP
fis-85	270	10	gmax	gmax	PROPN
fis-85	270	11	.	.	PUNCT
fis-85	271	1	notice	notice	VERB
fis-85	271	2	that	that	SCONJ
fis-85	271	3	a	a	DET
fis-85	271	4	star	star	NOUN
fis-85	271	5	shaped	shape	VERB
fis-85	271	6	region	region	NOUN
fis-85	271	7	of	of	ADP
fis-85	271	8	different	different	ADJ
fis-85	271	9	size	size	NOUN
fis-85	271	10	,	,	PUNCT
fis-85	271	11	centered	center	VERB
fis-85	271	12	at	at	ADP
fis-85	271	13	the	the	DET
fis-85	271	14	crack	crack	NOUN
fis-85	271	15	tip	tip	NOUN
fis-85	271	16	,	,	PUNCT
fis-85	271	17	is	be	AUX
fis-85	271	18	always	always	ADV
fis-85	271	19	created	create	VERB
fis-85	271	20	during	during	ADP
fis-85	271	21	the	the	DET
fis-85	271	22	four	four	NUM
fis-85	271	23	analyses	analysis	NOUN
fis-85	271	24	.	.	PUNCT
fis-85	272	1	such	such	ADJ
fis-85	272	2	regions	region	NOUN
fis-85	272	3	develop	develop	VERB
fis-85	272	4	before	before	ADP
fis-85	272	5	crack	crack	NOUN
fis-85	272	6	propagation	propagation	NOUN
fis-85	272	7	,	,	PUNCT
fis-85	272	8	that	that	PRON
fis-85	272	9	is	be	AUX
fis-85	272	10	in	in	ADP
fis-85	272	11	the	the	DET
fis-85	272	12	elastic	elastic	ADJ
fis-85	272	13	phase	phase	NOUN
fis-85	272	14	,	,	PUNCT
fis-85	272	15	and	and	CCONJ
fis-85	272	16	are	be	AUX
fis-85	272	17	formed	form	VERB
fis-85	272	18	by	by	ADP
fis-85	272	19	a	a	DET
fis-85	272	20	fixed	fix	VERB
fis-85	272	21	number	number	NOUN
fis-85	272	22	of	of	ADP
fis-85	272	23	elongated	elongate	VERB
fis-85	272	24	triangles	triangle	NOUN
fis-85	272	25	(	(	PUNCT
fis-85	272	26	6	6	NUM
fis-85	272	27	)	)	PUNCT
fis-85	272	28	.	.	PUNCT
fis-85	273	1	a	a	DET
fis-85	273	2	similar	similar	ADJ
fis-85	273	3	behaviour	behaviour	NOUN
fis-85	273	4	is	be	AUX
fis-85	273	5	detected	detect	VERB
fis-85	273	6	also	also	ADV
fis-85	273	7	in	in	ADP
fis-85	273	8	the	the	DET
fis-85	273	9	case	case	NOUN
fis-85	273	10	of	of	ADP
fis-85	273	11	fig	fig	NOUN
fis-85	273	12	.	.	PUNCT
fis-85	274	1	17	17	NUM
fis-85	274	2	,	,	PUNCT
fis-85	274	3	also	also	ADV
fis-85	274	4	if	if	SCONJ
fis-85	274	5	it	it	PRON
fis-85	274	6	is	be	AUX
fis-85	274	7	less	less	ADV
fis-85	274	8	evident	evident	ADJ
fis-85	274	9	.	.	PUNCT
fis-85	275	1	elongated	elongate	VERB
fis-85	275	2	triangles	triangle	NOUN
fis-85	275	3	are	be	AUX
fis-85	275	4	usually	usually	ADV
fis-85	275	5	hill	hill	NOUN
fis-85	275	6	-	-	PUNCT
fis-85	275	7	behaved	behave	VERB
fis-85	275	8	in	in	ADP
fis-85	275	9	fem	fem	NOUN
fis-85	275	10	analysis	analysis	NOUN
fis-85	275	11	,	,	PUNCT
fis-85	275	12	but	but	CCONJ
fis-85	275	13	the	the	DET
fis-85	275	14	point	point	NOUN
fis-85	275	15	here	here	ADV
fis-85	275	16	is	be	AUX
fis-85	275	17	that	that	SCONJ
fis-85	275	18	such	such	ADJ
fis-85	275	19	shapes	shape	NOUN
fis-85	275	20	are	be	AUX
fis-85	275	21	chosen	choose	VERB
fis-85	275	22	through	through	ADP
fis-85	275	23	minimization	minimization	NOUN
fis-85	275	24	and	and	CCONJ
fis-85	275	25	are	be	AUX
fis-85	275	26	the	the	DET
fis-85	275	27	best	good	ADJ
fis-85	275	28	possible	possible	ADJ
fis-85	275	29	in	in	ADP
fis-85	275	30	order	order	NOUN
fis-85	275	31	to	to	PART
fis-85	275	32	approximate	approximate	VERB
fis-85	275	33	the	the	DET
fis-85	275	34	large	large	ADJ
fis-85	275	35	stress	stress	NOUN
fis-85	275	36	that	that	PRON
fis-85	275	37	develops	develop	VERB
fis-85	275	38	around	around	ADP
fis-85	275	39	the	the	DET
fis-85	275	40	crack	crack	NOUN
fis-85	275	41	tip	tip	NOUN
fis-85	275	42	.	.	PUNCT
fis-85	276	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	276	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	276	3	m.	m.	NOUN
fis-85	276	4	angelillo	angelillo	VERB
fis-85	276	5	et	et	PROPN
fis-85	276	6	alii	alii	PROPN
fis-85	276	7	,	,	PUNCT
fis-85	276	8	frattura	frattura	PROPN
fis-85	276	9	ed	ed	PROPN
fis-85	276	10	integrità	integrità	PROPN
fis-85	276	11	strutturale	strutturale	PROPN
fis-85	276	12	,	,	PUNCT
fis-85	276	13	12	12	NUM
fis-85	276	14	(	(	PUNCT
fis-85	276	15	2010	2010	NUM
fis-85	276	16	)	)	PUNCT
fis-85	276	17	63	63	NUM
fis-85	276	18	-	-	SYM
fis-85	276	19	78	78	NUM
fis-85	276	20	;	;	PUNCT
fis-85	276	21	doi	doi	NOUN
fis-85	276	22	:	:	PUNCT
fis-85	276	23	10.3221	10.3221	NUM
fis-85	276	24	/	/	SYM
fis-85	276	25	igf	igf	PROPN
fis-85	276	26	-	-	ADJ
fis-85	276	27	esis.12.07	esis.12.07	ADJ
fis-85	276	28	76	76	NUM
fis-85	276	29	figure	figure	NOUN
fis-85	276	30	18	18	NUM
fis-85	276	31	:	:	PUNCT
fis-85	276	32	kinking	kinking	NOUN
fis-85	276	33	of	of	ADP
fis-85	276	34	a	a	DET
fis-85	276	35	straight	straight	ADJ
fis-85	276	36	crack	crack	NOUN
fis-85	276	37	in	in	ADP
fis-85	276	38	mixed	mixed	ADJ
fis-85	276	39	mode	mode	NOUN
fis-85	276	40	i	i	PROPN
fis-85	276	41	&	&	CCONJ
fis-85	276	42	ii	ii	PROPN
fis-85	276	43	.	.	PUNCT
fis-85	277	1	mesh	mesh	PROPN
fis-85	277	2	size	size	NOUN
fis-85	277	3	:	:	PUNCT
fis-85	277	4	l/12	l/12	NOUN
fis-85	277	5	2	2	NUM
fis-85	277	6	.	.	PUNCT
fis-85	277	7	minimal	minimal	ADJ
fis-85	277	8	deformation	deformation	NOUN
fis-85	277	9	and	and	CCONJ
fis-85	277	10	modified	modify	VERB
fis-85	277	11	mesh	mesh	NOUN
fis-85	277	12	at	at	ADP
fis-85	277	13	8	8	NUM
fis-85	277	14	time	time	NOUN
fis-85	277	15	steps	step	NOUN
fis-85	277	16	.	.	PUNCT
fis-85	278	1	crack	crack	VERB
fis-85	278	2	kinking	kink	VERB
fis-85	278	3	in	in	ADP
fis-85	278	4	the	the	DET
fis-85	278	5	last	last	ADJ
fis-85	278	6	snapshot	snapshot	NOUN
fis-85	278	7	.	.	PUNCT
fis-85	279	1	figure	figure	NOUN
fis-85	279	2	19	19	NUM
fis-85	279	3	:	:	PUNCT
fis-85	279	4	kinking	kinking	NOUN
fis-85	279	5	of	of	ADP
fis-85	279	6	a	a	DET
fis-85	279	7	straight	straight	ADJ
fis-85	279	8	crack	crack	NOUN
fis-85	279	9	in	in	ADP
fis-85	279	10	mixed	mixed	ADJ
fis-85	279	11	mode	mode	NOUN
fis-85	279	12	i	i	PROPN
fis-85	279	13	&	&	CCONJ
fis-85	279	14	ii	ii	PROPN
fis-85	279	15	.	.	PUNCT
fis-85	280	1	mesh	mesh	PROPN
fis-85	280	2	size	size	NOUN
fis-85	280	3	:	:	PUNCT
fis-85	281	1	l/16	l/16	NOUN
fis-85	281	2	2	2	NUM
fis-85	281	3	.	.	PUNCT
fis-85	281	4	minimal	minimal	ADJ
fis-85	281	5	deformation	deformation	NOUN
fis-85	281	6	and	and	CCONJ
fis-85	281	7	modified	modify	VERB
fis-85	281	8	mesh	mesh	NOUN
fis-85	281	9	at	at	ADP
fis-85	281	10	8	8	NUM
fis-85	281	11	time	time	NOUN
fis-85	281	12	steps	step	NOUN
fis-85	281	13	.	.	PUNCT
fis-85	282	1	crack	crack	VERB
fis-85	282	2	kinking	kink	VERB
fis-85	282	3	in	in	ADP
fis-85	282	4	the	the	DET
fis-85	282	5	last	last	ADJ
fis-85	282	6	snapshot	snapshot	NOUN
fis-85	282	7	.	.	PUNCT
fis-85	283	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	283	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	283	3	m.	m.	NOUN
fis-85	283	4	angelillo	angelillo	VERB
fis-85	283	5	et	et	PROPN
fis-85	283	6	alii	alii	PROPN
fis-85	283	7	,	,	PUNCT
fis-85	283	8	frattura	frattura	PROPN
fis-85	283	9	ed	ed	PROPN
fis-85	283	10	integrità	integrità	PROPN
fis-85	283	11	strutturale	strutturale	PROPN
fis-85	283	12	,	,	PUNCT
fis-85	283	13	12	12	NUM
fis-85	283	14	(	(	PUNCT
fis-85	283	15	2010	2010	NUM
fis-85	283	16	)	)	PUNCT
fis-85	283	17	63	63	NUM
fis-85	283	18	-	-	SYM
fis-85	283	19	78	78	NUM
fis-85	283	20	;	;	PUNCT
fis-85	283	21	doi	doi	NOUN
fis-85	283	22	:	:	PUNCT
fis-85	283	23	10.3221	10.3221	NUM
fis-85	283	24	/	/	SYM
fis-85	283	25	igf	igf	PROPN
fis-85	283	26	-	-	ADJ
fis-85	283	27	esis.12.07	esis.12.07	ADJ
fis-85	283	28	77	77	NUM
fis-85	283	29	figure	figure	NOUN
fis-85	283	30	20	20	NUM
fis-85	283	31	:	:	PUNCT
fis-85	283	32	kinking	kinking	NOUN
fis-85	283	33	of	of	ADP
fis-85	283	34	a	a	DET
fis-85	283	35	straight	straight	ADJ
fis-85	283	36	crack	crack	NOUN
fis-85	283	37	in	in	ADP
fis-85	283	38	mixed	mixed	ADJ
fis-85	283	39	mode	mode	NOUN
fis-85	283	40	i	i	PROPN
fis-85	283	41	&	&	CCONJ
fis-85	283	42	ii	ii	PROPN
fis-85	283	43	.	.	PUNCT
fis-85	284	1	mesh	mesh	PROPN
fis-85	284	2	size	size	NOUN
fis-85	284	3	:	:	PUNCT
fis-85	284	4	l/20	l/20	PROPN
fis-85	284	5	2	2	NUM
fis-85	284	6	.	.	PUNCT
fis-85	284	7	minimal	minimal	ADJ
fis-85	284	8	deformation	deformation	NOUN
fis-85	284	9	and	and	CCONJ
fis-85	284	10	modified	modify	VERB
fis-85	284	11	mesh	mesh	NOUN
fis-85	284	12	at	at	ADP
fis-85	284	13	8	8	NUM
fis-85	284	14	time	time	NOUN
fis-85	284	15	steps	step	NOUN
fis-85	284	16	.	.	PUNCT
fis-85	285	1	crack	crack	VERB
fis-85	285	2	kinking	kink	VERB
fis-85	285	3	in	in	ADP
fis-85	285	4	the	the	DET
fis-85	285	5	last	last	ADJ
fis-85	285	6	snapshot	snapshot	NOUN
fis-85	285	7	.	.	PUNCT
fis-85	286	1	figure	figure	NOUN
fis-85	286	2	21	21	NUM
fis-85	286	3	:	:	PUNCT
fis-85	286	4	kinking	kinking	NOUN
fis-85	286	5	of	of	ADP
fis-85	286	6	a	a	DET
fis-85	286	7	straight	straight	ADJ
fis-85	286	8	crack	crack	NOUN
fis-85	286	9	in	in	ADP
fis-85	286	10	mixed	mixed	ADJ
fis-85	286	11	mode	mode	NOUN
fis-85	286	12	i	i	PROPN
fis-85	286	13	&	&	CCONJ
fis-85	286	14	ii	ii	PROPN
fis-85	286	15	.	.	PROPN
fis-85	286	16	refined	refined	ADJ
fis-85	286	17	mesh	mesh	NOUN
fis-85	286	18	,	,	PUNCT
fis-85	286	19	mesh	mesh	NOUN
fis-85	286	20	size	size	NOUN
fis-85	286	21	:	:	PUNCT
fis-85	286	22	l/48	l/48	NOUN
fis-85	286	23	2	2	NUM
fis-85	286	24	.	.	PUNCT
fis-85	286	25	minimal	minimal	ADJ
fis-85	286	26	deformation	deformation	NOUN
fis-85	286	27	and	and	CCONJ
fis-85	286	28	modified	modify	VERB
fis-85	286	29	mesh	mesh	NOUN
fis-85	286	30	at	at	ADP
fis-85	286	31	8	8	NUM
fis-85	286	32	time	time	NOUN
fis-85	286	33	steps	step	NOUN
fis-85	286	34	.	.	PUNCT
fis-85	287	1	crack	crack	VERB
fis-85	287	2	kinking	kink	VERB
fis-85	287	3	in	in	ADP
fis-85	287	4	the	the	DET
fis-85	287	5	last	last	ADJ
fis-85	287	6	snapshot	snapshot	NOUN
fis-85	287	7	.	.	PUNCT
fis-85	288	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	288	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-85	288	3	m.	m.	NOUN
fis-85	288	4	angelillo	angelillo	VERB
fis-85	288	5	et	et	PROPN
fis-85	288	6	alii	alii	PROPN
fis-85	288	7	,	,	PUNCT
fis-85	288	8	frattura	frattura	PROPN
fis-85	288	9	ed	ed	PROPN
fis-85	288	10	integrità	integrità	PROPN
fis-85	288	11	strutturale	strutturale	PROPN
fis-85	288	12	,	,	PUNCT
fis-85	288	13	12	12	NUM
fis-85	288	14	(	(	PUNCT
fis-85	288	15	2010	2010	NUM
fis-85	288	16	)	)	PUNCT
fis-85	288	17	63	63	NUM
fis-85	288	18	-	-	SYM
fis-85	288	19	78	78	NUM
fis-85	288	20	;	;	PUNCT
fis-85	288	21	doi	doi	NOUN
fis-85	288	22	:	:	PUNCT
fis-85	288	23	10.3221	10.3221	NUM
fis-85	288	24	/	/	SYM
fis-85	288	25	igf	igf	PROPN
fis-85	288	26	-	-	ADJ
fis-85	288	27	esis.12.07	esis.12.07	ADJ
fis-85	288	28	78	78	NUM
fis-85	288	29	references	reference	NOUN
fis-85	288	30	[	[	X
fis-85	288	31	1	1	NUM
fis-85	288	32	]	]	PUNCT
fis-85	288	33	m.	m.	NOUN
fis-85	288	34	angelillo	angelillo	PROPN
fis-85	288	35	,	,	PUNCT
fis-85	288	36	e.	e.	PROPN
fis-85	288	37	babilio	babilio	PROPN
fis-85	288	38	,	,	PUNCT
fis-85	288	39	a.	a.	PROPN
fis-85	288	40	fortunato	fortunato	PROPN
fis-85	288	41	,	,	PUNCT
fis-85	288	42	in	in	ADP
fis-85	288	43	:	:	PUNCT
fis-85	288	44	2nd	2nd	ADJ
fis-85	288	45	cancnsm	cancnsm	NOUN
fis-85	288	46	,	,	PUNCT
fis-85	288	47	vancouver	vancouver	PROPN
fis-85	288	48	,	,	PUNCT
fis-85	288	49	canada	canada	PROPN
fis-85	288	50	.	.	PUNCT
fis-85	289	1	e.	e.	PROPN
fis-85	289	2	m.	m.	PROPN
fis-85	289	3	croitoro	croitoro	VERB
fis-85	289	4	ed	ed	NOUN
fis-85	289	5	.	.	PROPN
fis-85	289	6	,	,	PUNCT
fis-85	289	7	(	(	PUNCT
fis-85	289	8	2002	2002	NUM
fis-85	289	9	)	)	PUNCT
fis-85	290	1	181	181	NUM
fis-85	290	2	.	.	PUNCT
fis-85	291	1	[	[	X
fis-85	291	2	2	2	NUM
fis-85	291	3	]	]	PUNCT
fis-85	291	4	m.	m.	NOUN
fis-85	291	5	angelillo	angelillo	PROPN
fis-85	291	6	,	,	PUNCT
fis-85	291	7	e.	e.	PROPN
fis-85	291	8	babilio	babilio	PROPN
fis-85	291	9	,	,	PUNCT
fis-85	291	10	in	in	ADP
fis-85	291	11	:	:	PUNCT
fis-85	291	12	xiii	xiii	PROPN
fis-85	291	13	aimeta	aimeta	PROPN
fis-85	291	14	congress	congress	PROPN
fis-85	291	15	,	,	PUNCT
fis-85	291	16	ancona	ancona	PROPN
fis-85	291	17	(	(	PUNCT
fis-85	291	18	2009	2009	NUM
fis-85	291	19	)	)	PUNCT
fis-85	291	20	.	.	PUNCT
fis-85	292	1	[	[	X
fis-85	292	2	3	3	X
fis-85	292	3	]	]	X
fis-85	292	4	g.a	g.a	PROPN
fis-85	292	5	.	.	PROPN
fis-85	292	6	francfort	francfort	PROPN
fis-85	292	7	,	,	PUNCT
fis-85	292	8	j.j	j.j	PROPN
fis-85	292	9	.	.	PROPN
fis-85	292	10	marigo	marigo	PROPN
fis-85	292	11	,	,	PUNCT
fis-85	292	12	j.	j.	PROPN
fis-85	292	13	mech	mech	PROPN
fis-85	292	14	.	.	PUNCT
fis-85	293	1	phys	phy	NOUN
fis-85	293	2	.	.	PUNCT
fis-85	294	1	solids	solid	NOUN
fis-85	294	2	,	,	PUNCT
fis-85	294	3	46(8	46(8	NOUN
fis-85	294	4	)	)	PUNCT
fis-85	294	5	(	(	PUNCT
fis-85	294	6	1998	1998	NUM
fis-85	294	7	)	)	PUNCT
fis-85	294	8	1319	1319	NUM
fis-85	294	9	.	.	PUNCT
fis-85	295	1	[	[	X
fis-85	295	2	4	4	X
fis-85	295	3	]	]	X
fis-85	295	4	b.	b.	PROPN
fis-85	295	5	bourdin	bourdin	PROPN
fis-85	295	6	,	,	PUNCT
fis-85	295	7	interfaces	interface	NOUN
fis-85	295	8	free	free	ADJ
fis-85	295	9	bound	bind	VERB
fis-85	295	10	.	.	PROPN
fis-85	295	11	,	,	PUNCT
fis-85	295	12	9	9	NUM
fis-85	295	13	(	(	PUNCT
fis-85	295	14	2007	2007	NUM
fis-85	295	15	)	)	PUNCT
fis-85	295	16	411	411	NUM
fis-85	295	17	.	.	PUNCT
fis-85	296	1	[	[	X
fis-85	296	2	5	5	X
fis-85	296	3	]	]	X
fis-85	296	4	g.	g.	PROPN
fis-85	296	5	del	del	PROPN
fis-85	296	6	piero	piero	PROPN
fis-85	296	7	,	,	PUNCT
fis-85	296	8	g.	g.	PROPN
fis-85	296	9	lancioni	lancioni	PROPN
fis-85	296	10	,	,	PUNCT
fis-85	296	11	r.	r.	PROPN
fis-85	296	12	march	march	PROPN
fis-85	296	13	,	,	PUNCT
fis-85	296	14	j.	j.	PROPN
fis-85	296	15	mech	mech	PROPN
fis-85	296	16	.	.	PUNCT
fis-85	297	1	phys	phy	NOUN
fis-85	297	2	.	.	PUNCT
fis-85	298	1	solids	solid	NOUN
fis-85	298	2	,	,	PUNCT
fis-85	298	3	55	55	NUM
fis-85	298	4	(	(	PUNCT
fis-85	298	5	2007	2007	NUM
fis-85	298	6	)	)	PUNCT
fis-85	298	7	2513	2513	NUM
fis-85	298	8	.	.	PUNCT
fis-85	299	1	[	[	X
fis-85	299	2	6	6	NUM
fis-85	299	3	]	]	PUNCT
fis-85	299	4	l.	l.	PROPN
fis-85	299	5	ambrosio	ambrosio	PROPN
fis-85	299	6	,	,	PUNCT
fis-85	299	7	v.m	v.m	PROPN
fis-85	299	8	.	.	PROPN
fis-85	299	9	tortorelli	tortorelli	PROPN
fis-85	299	10	,	,	PUNCT
fis-85	299	11	comm	comm	NOUN
fis-85	299	12	.	.	PUNCT
fis-85	300	1	pure	pure	ADJ
fis-85	300	2	appl	appl	PROPN
fis-85	300	3	.	.	PUNCT
fis-85	300	4	math	math	PROPN
fis-85	300	5	.	.	PUNCT
fis-85	301	1	,	,	PUNCT
fis-85	301	2	438	438	NUM
fis-85	301	3	(	(	PUNCT
fis-85	301	4	1990	1990	NUM
fis-85	301	5	)	)	PUNCT
fis-85	301	6	999	999	NUM
fis-85	301	7	.	.	PUNCT
fis-85	302	1	[	[	X
fis-85	302	2	7	7	X
fis-85	302	3	]	]	X
fis-85	302	4	l.	l.	PROPN
fis-85	302	5	ambrosio	ambrosio	PROPN
fis-85	302	6	,	,	PUNCT
fis-85	302	7	a.	a.	NOUN
fis-85	302	8	braides	braide	NOUN
fis-85	302	9	,	,	PUNCT
fis-85	302	10	in	in	ADP
fis-85	302	11	:	:	PUNCT
fis-85	302	12	homogenization	homogenization	NOUN
fis-85	302	13	and	and	CCONJ
fis-85	302	14	applications	application	NOUN
fis-85	302	15	to	to	ADP
fis-85	302	16	material	material	NOUN
fis-85	302	17	sciences	science	NOUN
fis-85	302	18	(	(	PUNCT
fis-85	302	19	d.	d.	PROPN
fis-85	302	20	cioranescu	cioranescu	PROPN
fis-85	302	21	,	,	PUNCT
fis-85	302	22	a.	a.	PROPN
fis-85	302	23	damlamian	damlamian	PROPN
fis-85	302	24	,	,	PUNCT
fis-85	302	25	p.	p.	PROPN
fis-85	302	26	donato	donato	PROPN
fis-85	302	27	eds	eds	PROPN
fis-85	302	28	.	.	PUNCT
fis-85	302	29	)	)	PUNCT
fis-85	302	30	,	,	PUNCT
fis-85	302	31	gakuto	gakuto	NOUN
fis-85	302	32	,	,	PUNCT
fis-85	302	33	gakkotosho	gakkotosho	PROPN
fis-85	302	34	,	,	PUNCT
fis-85	302	35	tokio	tokio	PROPN
fis-85	302	36	,	,	PUNCT
fis-85	302	37	(	(	PUNCT
fis-85	302	38	1997	1997	NUM
fis-85	302	39	)	)	PUNCT
fis-85	302	40	1	1	NUM
fis-85	302	41	.	.	PUNCT
fis-85	303	1	[	[	X
fis-85	303	2	8	8	NUM
fis-85	303	3	]	]	X
fis-85	303	4	e.	e.	PROPN
fis-85	303	5	de	de	PROPN
fis-85	303	6	giorgi	giorgi	PROPN
fis-85	303	7	,	,	PUNCT
fis-85	303	8	free	free	ADJ
fis-85	303	9	discontinuity	discontinuity	NOUN
fis-85	303	10	problems	problem	NOUN
fis-85	303	11	in	in	ADP
fis-85	303	12	calculus	calculus	NOUN
fis-85	303	13	of	of	ADP
fis-85	303	14	variations	variation	NOUN
fis-85	303	15	.	.	PUNCT
fis-85	304	1	frontiers	frontier	NOUN
fis-85	304	2	in	in	ADP
fis-85	304	3	pure	pure	ADJ
fis-85	304	4	and	and	CCONJ
fis-85	304	5	applied	applied	ADJ
fis-85	304	6	mathematics	mathematic	NOUN
fis-85	304	7	,	,	PUNCT
fis-85	304	8	a	a	DET
fis-85	304	9	collection	collection	NOUN
fis-85	304	10	of	of	ADP
fis-85	304	11	papers	paper	NOUN
fis-85	304	12	dedicated	dedicate	VERB
fis-85	304	13	to	to	ADP
fis-85	304	14	j.	j.	PROPN
fis-85	304	15	l.	l.	PROPN
fis-85	304	16	lions	lion	NOUN
fis-85	304	17	on	on	ADP
fis-85	304	18	the	the	DET
fis-85	304	19	occasions	occasion	NOUN
fis-85	304	20	of	of	ADP
fis-85	304	21	his	his	PRON
fis-85	304	22	60th	60th	ADJ
fis-85	304	23	birthday	birthday	NOUN
fis-85	304	24	,	,	PUNCT
fis-85	304	25	r.	r.	PROPN
fis-85	304	26	dautray	dautray	PROPN
fis-85	304	27	ed	ed	PROPN
fis-85	304	28	.	.	PROPN
fis-85	304	29	,	,	PUNCT
fis-85	304	30	amsterdam	amsterdam	PROPN
fis-85	304	31	,	,	PUNCT
fis-85	304	32	(	(	PUNCT
fis-85	304	33	1991	1991	NUM
fis-85	304	34	)	)	PUNCT
fis-85	304	35	55	55	NUM
fis-85	304	36	.	.	PUNCT
fis-85	305	1	[	[	X
fis-85	305	2	9	9	NUM
fis-85	305	3	]	]	PUNCT
fis-85	305	4	a.	a.	NOUN
fis-85	305	5	griffith	griffith	PROPN
fis-85	305	6	,	,	PUNCT
fis-85	305	7	phil	phil	PROPN
fis-85	305	8	.	.	PUNCT
fis-85	306	1	trans	trans	PROPN
fis-85	306	2	.	.	PROPN
fis-85	307	1	roy	roy	PROPN
fis-85	307	2	.	.	PROPN
fis-85	307	3	soc	soc	PROPN
fis-85	307	4	.	.	PUNCT
fis-85	308	1	london	london	PROPN
fis-85	308	2	,	,	PUNCT
fis-85	308	3	ccxxi	ccxxi	NOUN
fis-85	308	4	-	-	PUNCT
fis-85	308	5	a	a	PRON
fis-85	308	6	(	(	PUNCT
fis-85	308	7	1920	1920	NUM
fis-85	308	8	)	)	PUNCT
fis-85	308	9	163	163	NUM
fis-85	308	10	.	.	PUNCT
fis-85	309	1	[	[	X
fis-85	309	2	10	10	NUM
fis-85	309	3	]	]	X
fis-85	309	4	g.	g.	PROPN
fis-85	309	5	dal	dal	PROPN
fis-85	309	6	maso	maso	PROPN
fis-85	309	7	,	,	PUNCT
fis-85	309	8	r.	r.	PROPN
fis-85	309	9	toader	toader	NOUN
fis-85	309	10	,	,	PUNCT
fis-85	309	11	math	math	NOUN
fis-85	309	12	.	.	PUNCT
fis-85	310	1	mod	mod	PROPN
fis-85	310	2	.	.	PUNCT
fis-85	310	3	meth	meth	PROPN
fis-85	310	4	.	.	PUNCT
fis-85	311	1	appl	appl	PROPN
fis-85	311	2	.	.	PUNCT
fis-85	312	1	sci	sci	PROPN
fis-85	312	2	.	.	PROPN
fis-85	312	3	,	,	PUNCT
fis-85	312	4	12	12	NUM
fis-85	312	5	(	(	PUNCT
fis-85	312	6	12	12	NUM
fis-85	312	7	)	)	PUNCT
fis-85	312	8	(	(	PUNCT
fis-85	312	9	2002	2002	NUM
fis-85	312	10	)	)	PUNCT
fis-85	312	11	1773	1773	NUM
fis-85	312	12	.	.	PUNCT
fis-85	313	1	[	[	X
fis-85	313	2	11	11	NUM
fis-85	313	3	]	]	X
fis-85	313	4	c.j	c.j	PROPN
fis-85	313	5	.	.	PROPN
fis-85	313	6	larsen	larsen	PROPN
fis-85	313	7	,	,	PUNCT
fis-85	313	8	epsilon	epsilon	PROPN
fis-85	313	9	-	-	PUNCT
fis-85	313	10	stable	stable	ADJ
fis-85	313	11	quasi	quasi	ADJ
fis-85	313	12	-	-	ADJ
fis-85	313	13	static	static	ADJ
fis-85	313	14	brittle	brittle	ADJ
fis-85	313	15	fracture	fracture	ADJ
fis-85	313	16	evolution	evolution	NOUN
fis-85	313	17	,	,	PUNCT
fis-85	313	18	preprint	preprint	NOUN
fis-85	313	19	.	.	PUNCT
fis-85	314	1	[	[	X
fis-85	314	2	12	12	NUM
fis-85	314	3	]	]	X
fis-85	314	4	l.	l.	PROPN
fis-85	314	5	ambrosio	ambrosio	PROPN
fis-85	314	6	,	,	PUNCT
fis-85	314	7	boll	boll	NOUN
fis-85	314	8	.	.	PUNCT
fis-85	315	1	un	un	PROPN
fis-85	315	2	.	.	PROPN
fis-85	315	3	mat	mat	PROPN
fis-85	315	4	.	.	PUNCT
fis-85	315	5	ital	ital	PROPN
fis-85	315	6	.	.	PROPN
fis-85	315	7	,	,	PUNCT
fis-85	315	8	3	3	X
fis-85	315	9	–	–	PUNCT
fis-85	315	10	b	b	NOUN
fis-85	315	11	(	(	PUNCT
fis-85	315	12	1989	1989	NUM
fis-85	315	13	)	)	PUNCT
fis-85	315	14	857	857	NUM
fis-85	315	15	.	.	PUNCT
fis-85	316	1	[	[	X
fis-85	316	2	13	13	NUM
fis-85	316	3	]	]	X
fis-85	316	4	j.h	j.h	PROPN
fis-85	316	5	.	.	PROPN
fis-85	316	6	al	al	PROPN
fis-85	316	7	bin	bin	PROPN
fis-85	316	8	mousa	mousa	PROPN
fis-85	316	9	,	,	PUNCT
fis-85	316	10	experimental	experimental	ADJ
fis-85	316	11	and	and	CCONJ
fis-85	316	12	numerical	numerical	ADJ
fis-85	316	13	analyses	analysis	NOUN
fis-85	316	14	of	of	ADP
fis-85	316	15	mixed	mixed	ADJ
fis-85	316	16	mode	mode	NOUN
fis-85	316	17	crack	crack	NOUN
fis-85	316	18	initiation	initiation	NOUN
fis-85	316	19	angle	angle	NOUN
fis-85	316	20	,	,	PUNCT
fis-85	316	21	king	king	PROPN
fis-85	316	22	fahd	fahd	PROPN
fis-85	316	23	university	university	PROPN
fis-85	316	24	of	of	ADP
fis-85	316	25	petroleum	petroleum	NOUN
fis-85	316	26	and	and	CCONJ
fis-85	316	27	minerals	mineral	NOUN
fis-85	316	28	,	,	PUNCT
fis-85	316	29	thesis	thesis	NOUN
fis-85	316	30	(	(	PUNCT
fis-85	316	31	2006	2006	NUM
fis-85	316	32	)	)	PUNCT
fis-85	316	33	.	.	PUNCT
fis-85	317	1	[	[	X
fis-85	317	2	14	14	NUM
fis-85	317	3	]	]	X
fis-85	317	4	r.	r.	PROPN
fis-85	317	5	v.	v.	PROPN
fis-85	317	6	goldstein	goldstein	PROPN
fis-85	317	7	,	,	PUNCT
fis-85	317	8	r.	r.	PROPN
fis-85	317	9	l.	l.	PROPN
fis-85	317	10	salganik	salganik	PROPN
fis-85	317	11	,	,	PUNCT
fis-85	317	12	int	int	PROPN
fis-85	317	13	.	.	PUNCT
fis-85	318	1	j.	j.	PROPN
fis-85	318	2	of	of	ADP
fis-85	318	3	fracture	fracture	PROPN
fis-85	318	4	,	,	PUNCT
fis-85	318	5	10	10	NUM
fis-85	318	6	(	(	PUNCT
fis-85	318	7	1974	1974	NUM
fis-85	318	8	)	)	PUNCT
fis-85	318	9	507	507	NUM
fis-85	318	10	.	.	PUNCT
fis-85	319	1	[	[	X
fis-85	319	2	15	15	NUM
fis-85	319	3	]	]	X
fis-85	319	4	m.	m.	NOUN
fis-85	319	5	amestoy	amestoy	PROPN
fis-85	319	6	.	.	PUNCT
fis-85	320	1	propagation	propagation	NOUN
fis-85	320	2	de	de	X
fis-85	320	3	fissures	fissure	NOUN
fis-85	320	4	en	en	ADP
fis-85	320	5	élasticité	élasticité	NOUN
fis-85	320	6	plane	plane	NOUN
fis-85	320	7	.	.	PUNCT
fis-85	321	1	thèse	thèse	PROPN
fis-85	321	2	de	de	PROPN
fis-85	321	3	doctorat	doctorat	PROPN
fis-85	321	4	d'état	d'état	PROPN
fis-85	321	5	,	,	PUNCT
fis-85	321	6	université	université	PROPN
fis-85	321	7	pierre	pierre	PROPN
fis-85	321	8	et	et	PROPN
fis-85	321	9	marie	marie	PROPN
fis-85	321	10	curie	curie	PROPN
fis-85	321	11	,	,	PUNCT
fis-85	321	12	paris	paris	PROPN
fis-85	321	13	,	,	PUNCT
fis-85	321	14	(	(	PUNCT
fis-85	321	15	1987	1987	NUM
fis-85	321	16	)	)	PUNCT
fis-85	321	17	.	.	PUNCT
fis-85	322	1	[	[	X
fis-85	322	2	16	16	NUM
fis-85	322	3	]	]	X
fis-85	322	4	f.	f.	PROPN
fis-85	322	5	erdogan	erdogan	PROPN
fis-85	322	6	,	,	PUNCT
fis-85	322	7	g.	g.	PROPN
fis-85	322	8	c.	c.	PROPN
fis-85	322	9	shi	shi	PROPN
fis-85	322	10	,	,	PUNCT
fis-85	322	11	j.	j.	PROPN
fis-85	322	12	basic	basic	PROPN
fis-85	322	13	eng	eng	PROPN
fis-85	322	14	.	.	PROPN
fis-85	322	15	,	,	PUNCT
fis-85	322	16	85	85	NUM
fis-85	322	17	(	(	PUNCT
fis-85	322	18	1963	1963	NUM
fis-85	322	19	)	)	PUNCT
fis-85	322	20	519	519	NUM
fis-85	322	21	.	.	PUNCT
fis-85	323	1	[	[	X
fis-85	323	2	17	17	NUM
fis-85	323	3	]	]	PUNCT
fis-85	323	4	m.	m.	NOUN
fis-85	323	5	amestoy	amestoy	PROPN
fis-85	323	6	,	,	PUNCT
fis-85	323	7	j.-b	j.-b	PROPN
fis-85	323	8	.	.	PUNCT
fis-85	323	9	leblon	leblon	PROPN
fis-85	323	10	,	,	PUNCT
fis-85	323	11	int	int	PROPN
fis-85	323	12	.	.	PUNCT
fis-85	324	1	j.	j.	PROPN
fis-85	324	2	solids	solids	PROPN
fis-85	324	3	struct	struct	NOUN
fis-85	324	4	.	.	PUNCT
fis-85	324	5	,	,	PUNCT
fis-85	324	6	29(4	29(4	NOUN
fis-85	324	7	)	)	PUNCT
fis-85	324	8	(	(	PUNCT
fis-85	324	9	1992	1992	NUM
fis-85	324	10	)	)	PUNCT
fis-85	324	11	465	465	NUM
fis-85	324	12	.	.	PUNCT
fis-85	325	1	[	[	X
fis-85	325	2	18	18	NUM
fis-85	325	3	]	]	PUNCT
fis-85	325	4	a.	a.	NOUN
fis-85	325	5	chambolle	chambolle	NOUN
fis-85	325	6	,	,	PUNCT
fis-85	325	7	g.	g.	PROPN
fis-85	325	8	a.	a.	PROPN
fis-85	325	9	francfort	francfort	PROPN
fis-85	325	10	,	,	PUNCT
fis-85	325	11	j.j	j.j	PROPN
fis-85	325	12	.	.	PROPN
fis-85	325	13	marigo	marigo	PROPN
fis-85	325	14	,	,	PUNCT
fis-85	325	15	umr	umr	PROPN
fis-85	325	16	cnrs	cnrs	PROPN
fis-85	325	17	,	,	PUNCT
fis-85	325	18	r.i	r.i	PROPN
fis-85	325	19	.	.	PROPN
fis-85	325	20	654	654	NUM
fis-85	325	21	(	(	PUNCT
fis-85	325	22	2009	2009	NUM
fis-85	325	23	)	)	PUNCT
fis-85	325	24	.	.	PUNCT
fis-85	326	1	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	http://dx.medra.org/10.3221/igf-esis.12.07&auth=true	PROPN
fis-85	326	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	NOUN