id	sid	tid	token	lemma	pos
fis-125	1	1	microsoft	microsoft	PROPN
fis-125	1	2	word	word	PROPN
fis-125	1	3	numero	numero	PROPN
fis-125	1	4	19	19	NUM
fis-125	1	5	articolo	articolo	PROPN
fis-125	1	6	1.doc	1.doc	PROPN
fis-125	1	7	k.	k.	PROPN
fis-125	1	8	pham	pham	PROPN
fis-125	1	9	et	et	PROPN
fis-125	1	10	alii	alii	PROPN
fis-125	1	11	,	,	PUNCT
fis-125	1	12	frattura	frattura	PROPN
fis-125	1	13	ed	ed	PROPN
fis-125	1	14	integrità	integrità	PROPN
fis-125	1	15	strutturale	strutturale	PROPN
fis-125	1	16	,	,	PUNCT
fis-125	1	17	19	19	NUM
fis-125	1	18	(	(	PUNCT
fis-125	1	19	2012	2012	NUM
fis-125	1	20	)	)	PUNCT
fis-125	1	21	5	5	NUM
fis-125	1	22	-	-	SYM
fis-125	1	23	19	19	NUM
fis-125	1	24	;	;	PUNCT
fis-125	1	25	doi	doi	NOUN
fis-125	1	26	:	:	PUNCT
fis-125	1	27	10.3221	10.3221	NUM
fis-125	1	28	/	/	SYM
fis-125	1	29	igf	igf	PROPN
fis-125	1	30	-	-	PUNCT
fis-125	1	31	esis.19.01	esis.19.01	ADJ
fis-125	1	32	5	5	NUM
fis-125	1	33	damage	damage	NOUN
fis-125	1	34	localization	localization	NOUN
fis-125	1	35	and	and	CCONJ
fis-125	1	36	rupture	rupture	NOUN
fis-125	1	37	with	with	ADP
fis-125	1	38	gradient	gradient	ADJ
fis-125	1	39	damage	damage	NOUN
fis-125	1	40	models	model	NOUN
fis-125	1	41	k.	k.	PROPN
fis-125	1	42	pham	pham	PROPN
fis-125	1	43	université	université	PROPN
fis-125	1	44	pierre	pierre	PROPN
fis-125	1	45	et	et	PROPN
fis-125	1	46	marie	marie	PROPN
fis-125	1	47	curie	curie	PROPN
fis-125	1	48	,	,	PUNCT
fis-125	1	49	institut	institut	PROPN
fis-125	1	50	jean	jean	PROPN
fis-125	1	51	le	le	PROPN
fis-125	1	52	rond	rond	PROPN
fis-125	1	53	d'alembert	d'alembert	PROPN
fis-125	1	54	,	,	PUNCT
fis-125	1	55	f75005	f75005	PROPN
fis-125	1	56	paris	paris	PROPN
fis-125	1	57	pham@lmm.jussieu.fr	pham@lmm.jussieu.fr	PROPN
fis-125	1	58	j.-j	j.-j	PROPN
fis-125	1	59	.	.	PUNCT
fis-125	2	1	marigo	marigo	PROPN
fis-125	2	2	ecole	ecole	PROPN
fis-125	2	3	polytechnique	polytechnique	PROPN
fis-125	2	4	,	,	PUNCT
fis-125	2	5	laboratoire	laboratoire	PROPN
fis-125	2	6	de	de	PROPN
fis-125	2	7	mécanique	mécanique	PROPN
fis-125	2	8	des	des	PROPN
fis-125	2	9	solides	solides	PROPN
fis-125	2	10	,	,	PUNCT
fis-125	2	11	f91128	f91128	PROPN
fis-125	2	12	palaiseau	palaiseau	PROPN
fis-125	2	13	cedex	cedex	PROPN
fis-125	2	14	marigo@lms.polytechnique.fr	marigo@lms.polytechnique.fr	PROPN
fis-125	2	15	abstract	abstract	PROPN
fis-125	2	16	.	.	PUNCT
fis-125	3	1	we	we	PRON
fis-125	3	2	propose	propose	VERB
fis-125	3	3	a	a	DET
fis-125	3	4	method	method	NOUN
fis-125	3	5	of	of	ADP
fis-125	3	6	construction	construction	NOUN
fis-125	3	7	of	of	ADP
fis-125	3	8	non	non	ADJ
fis-125	3	9	homogeneous	homogeneous	ADJ
fis-125	3	10	solutions	solution	NOUN
fis-125	3	11	to	to	ADP
fis-125	3	12	the	the	DET
fis-125	3	13	problem	problem	NOUN
fis-125	3	14	of	of	ADP
fis-125	3	15	traction	traction	NOUN
fis-125	3	16	of	of	ADP
fis-125	3	17	a	a	DET
fis-125	3	18	bar	bar	NOUN
fis-125	3	19	made	make	VERB
fis-125	3	20	of	of	ADP
fis-125	3	21	an	an	DET
fis-125	3	22	elastic	elastic	ADJ
fis-125	3	23	-	-	PUNCT
fis-125	3	24	damaging	damage	VERB
fis-125	3	25	material	material	NOUN
fis-125	3	26	whose	whose	DET
fis-125	3	27	softening	soften	VERB
fis-125	3	28	behavior	behavior	NOUN
fis-125	3	29	is	be	AUX
fis-125	3	30	regularized	regularize	VERB
fis-125	3	31	by	by	ADP
fis-125	3	32	a	a	DET
fis-125	3	33	gradient	gradient	ADJ
fis-125	3	34	damage	damage	NOUN
fis-125	3	35	model	model	NOUN
fis-125	3	36	.	.	PUNCT
fis-125	4	1	we	we	PRON
fis-125	4	2	show	show	VERB
fis-125	4	3	that	that	SCONJ
fis-125	4	4	,	,	PUNCT
fis-125	4	5	for	for	ADP
fis-125	4	6	sufficiently	sufficiently	ADV
fis-125	4	7	long	long	ADJ
fis-125	4	8	bars	bar	NOUN
fis-125	4	9	,	,	PUNCT
fis-125	4	10	localization	localization	NOUN
fis-125	4	11	arises	arise	VERB
fis-125	4	12	on	on	ADP
fis-125	4	13	sets	set	NOUN
fis-125	4	14	whose	whose	DET
fis-125	4	15	length	length	NOUN
fis-125	4	16	is	be	AUX
fis-125	4	17	proportional	proportional	ADJ
fis-125	4	18	to	to	ADP
fis-125	4	19	the	the	DET
fis-125	4	20	material	material	NOUN
fis-125	4	21	internal	internal	ADJ
fis-125	4	22	length	length	NOUN
fis-125	4	23	and	and	CCONJ
fis-125	4	24	with	with	ADP
fis-125	4	25	a	a	DET
fis-125	4	26	profile	profile	NOUN
fis-125	4	27	which	which	PRON
fis-125	4	28	is	be	AUX
fis-125	4	29	also	also	ADV
fis-125	4	30	characteristic	characteristic	ADJ
fis-125	4	31	of	of	ADP
fis-125	4	32	the	the	DET
fis-125	4	33	material	material	NOUN
fis-125	4	34	.	.	PUNCT
fis-125	5	1	the	the	DET
fis-125	5	2	rupture	rupture	NOUN
fis-125	5	3	of	of	ADP
fis-125	5	4	the	the	DET
fis-125	5	5	bar	bar	NOUN
fis-125	5	6	occurs	occur	VERB
fis-125	5	7	at	at	ADP
fis-125	5	8	the	the	DET
fis-125	5	9	center	center	NOUN
fis-125	5	10	of	of	ADP
fis-125	5	11	the	the	DET
fis-125	5	12	localization	localization	NOUN
fis-125	5	13	zone	zone	NOUN
fis-125	5	14	when	when	SCONJ
fis-125	5	15	the	the	DET
fis-125	5	16	damage	damage	NOUN
fis-125	5	17	reaches	reach	VERB
fis-125	5	18	there	there	ADV
fis-125	5	19	the	the	DET
fis-125	5	20	critical	critical	ADJ
fis-125	5	21	value	value	NOUN
fis-125	5	22	corresponding	correspond	VERB
fis-125	5	23	to	to	ADP
fis-125	5	24	the	the	DET
fis-125	5	25	loss	loss	NOUN
fis-125	5	26	of	of	ADP
fis-125	5	27	rigidity	rigidity	NOUN
fis-125	5	28	of	of	ADP
fis-125	5	29	the	the	DET
fis-125	5	30	material	material	NOUN
fis-125	5	31	.	.	PUNCT
fis-125	6	1	the	the	DET
fis-125	6	2	dissipated	dissipate	VERB
fis-125	6	3	energy	energy	NOUN
fis-125	6	4	during	during	ADP
fis-125	6	5	all	all	DET
fis-125	6	6	the	the	DET
fis-125	6	7	damage	damage	NOUN
fis-125	6	8	process	process	NOUN
fis-125	6	9	up	up	ADP
fis-125	6	10	to	to	ADP
fis-125	6	11	rupture	rupture	NOUN
fis-125	6	12	is	be	AUX
fis-125	6	13	a	a	DET
fis-125	6	14	quantity	quantity	NOUN
fis-125	6	15	cg	cg	NOUN
fis-125	6	16	which	which	PRON
fis-125	6	17	can	can	AUX
fis-125	6	18	be	be	AUX
fis-125	6	19	expressed	express	VERB
fis-125	6	20	in	in	ADP
fis-125	6	21	terms	term	NOUN
fis-125	6	22	of	of	ADP
fis-125	6	23	the	the	DET
fis-125	6	24	material	material	NOUN
fis-125	6	25	parameters	parameter	NOUN
fis-125	6	26	.	.	PUNCT
fis-125	7	1	accordingly	accordingly	ADV
fis-125	7	2	,	,	PUNCT
fis-125	7	3	cg	cg	NOUN
fis-125	7	4	can	can	AUX
fis-125	7	5	be	be	AUX
fis-125	7	6	considered	consider	VERB
fis-125	7	7	as	as	ADP
fis-125	7	8	the	the	DET
fis-125	7	9	usual	usual	ADJ
fis-125	7	10	surface	surface	NOUN
fis-125	7	11	energy	energy	NOUN
fis-125	7	12	density	density	NOUN
fis-125	7	13	appearing	appear	VERB
fis-125	7	14	in	in	ADP
fis-125	7	15	the	the	DET
fis-125	7	16	griffith	griffith	PROPN
fis-125	7	17	theory	theory	NOUN
fis-125	7	18	of	of	ADP
fis-125	7	19	brittle	brittle	ADJ
fis-125	7	20	fracture	fracture	NOUN
fis-125	7	21	.	.	PUNCT
fis-125	8	1	all	all	DET
fis-125	8	2	these	these	DET
fis-125	8	3	theoretical	theoretical	ADJ
fis-125	8	4	considerations	consideration	NOUN
fis-125	8	5	are	be	AUX
fis-125	8	6	illustrated	illustrate	VERB
fis-125	8	7	by	by	ADP
fis-125	8	8	numerical	numerical	ADJ
fis-125	8	9	examples	example	NOUN
fis-125	8	10	.	.	PUNCT
fis-125	9	1	keywords	keyword	NOUN
fis-125	9	2	.	.	PUNCT
fis-125	10	1	damage	damage	NOUN
fis-125	10	2	mechanics	mechanic	NOUN
fis-125	10	3	;	;	PUNCT
fis-125	10	4	gradient	gradient	ADJ
fis-125	10	5	damage	damage	NOUN
fis-125	10	6	models	model	NOUN
fis-125	10	7	;	;	PUNCT
fis-125	10	8	variational	variational	ADJ
fis-125	10	9	methods	method	NOUN
fis-125	10	10	;	;	PUNCT
fis-125	10	11	crack	crack	VERB
fis-125	10	12	initiation	initiation	NOUN
fis-125	10	13	.	.	PUNCT
fis-125	11	1	introduction	introduction	NOUN
fis-125	11	2	t	t	PROPN
fis-125	11	3	is	be	AUX
fis-125	11	4	possible	possible	ADJ
fis-125	11	5	to	to	PART
fis-125	11	6	give	give	VERB
fis-125	11	7	an	an	DET
fis-125	11	8	account	account	NOUN
fis-125	11	9	of	of	ADP
fis-125	11	10	rupture	rupture	NOUN
fis-125	11	11	of	of	ADP
fis-125	11	12	materials	material	NOUN
fis-125	11	13	with	with	ADP
fis-125	11	14	damage	damage	NOUN
fis-125	11	15	models	model	NOUN
fis-125	11	16	by	by	ADP
fis-125	11	17	the	the	DET
fis-125	11	18	means	mean	NOUN
fis-125	11	19	of	of	ADP
fis-125	11	20	the	the	DET
fis-125	11	21	localization	localization	NOUN
fis-125	11	22	of	of	ADP
fis-125	11	23	the	the	DET
fis-125	11	24	damage	damage	NOUN
fis-125	11	25	on	on	ADP
fis-125	11	26	zones	zone	NOUN
fis-125	11	27	of	of	ADP
fis-125	11	28	small	small	ADJ
fis-125	11	29	thickness	thickness	NOUN
fis-125	11	30	where	where	SCONJ
fis-125	11	31	the	the	DET
fis-125	11	32	strains	strain	NOUN
fis-125	11	33	are	be	AUX
fis-125	11	34	large	large	ADJ
fis-125	11	35	and	and	CCONJ
fis-125	11	36	the	the	DET
fis-125	11	37	stresses	stress	NOUN
fis-125	11	38	small	small	ADJ
fis-125	11	39	.	.	PUNCT
fis-125	12	1	however	however	ADV
fis-125	12	2	the	the	DET
fis-125	12	3	choice	choice	NOUN
fis-125	12	4	of	of	ADP
fis-125	12	5	the	the	DET
fis-125	12	6	type	type	NOUN
fis-125	12	7	of	of	ADP
fis-125	12	8	damage	damage	NOUN
fis-125	12	9	model	model	NOUN
fis-125	12	10	is	be	AUX
fis-125	12	11	essential	essential	ADJ
fis-125	12	12	to	to	PART
fis-125	12	13	obtain	obtain	VERB
fis-125	12	14	valuable	valuable	ADJ
fis-125	12	15	results	result	NOUN
fis-125	12	16	.	.	PUNCT
fis-125	13	1	thus	thus	ADV
fis-125	13	2	,	,	PUNCT
fis-125	13	3	local	local	ADJ
fis-125	13	4	models	model	NOUN
fis-125	13	5	of	of	ADP
fis-125	13	6	damage	damage	NOUN
fis-125	13	7	are	be	AUX
fis-125	13	8	suited	suit	VERB
fis-125	13	9	for	for	ADP
fis-125	13	10	hardening	harden	VERB
fis-125	13	11	behavior	behavior	NOUN
fis-125	13	12	but	but	CCONJ
fis-125	13	13	cease	cease	VERB
fis-125	13	14	to	to	PART
fis-125	13	15	give	give	VERB
fis-125	13	16	meaningful	meaningful	ADJ
fis-125	13	17	responses	response	NOUN
fis-125	13	18	for	for	ADP
fis-125	13	19	softening	soften	VERB
fis-125	13	20	behavior	behavior	NOUN
fis-125	13	21	.	.	PUNCT
fis-125	14	1	indeed	indeed	ADV
fis-125	14	2	,	,	PUNCT
fis-125	14	3	in	in	ADP
fis-125	14	4	this	this	DET
fis-125	14	5	latter	latter	ADJ
fis-125	14	6	case	case	NOUN
fis-125	14	7	the	the	DET
fis-125	14	8	boundary	boundary	ADJ
fis-125	14	9	-	-	PUNCT
fis-125	14	10	value	value	NOUN
fis-125	14	11	problem	problem	NOUN
fis-125	14	12	is	be	AUX
fis-125	14	13	mathematically	mathematically	ADV
fis-125	14	14	ill	ill	ADV
fis-125	14	15	-	-	PUNCT
fis-125	14	16	posed	pose	VERB
fis-125	14	17	(	(	PUNCT
fis-125	14	18	benallal	benallal	NOUN
fis-125	14	19	et	et	PROPN
fis-125	14	20	al	al	PROPN
fis-125	14	21	.	.	PUNCT
fis-125	15	1	[	[	X
fis-125	15	2	1	1	NUM
fis-125	15	3	]	]	PUNCT
fis-125	15	4	,	,	PUNCT
fis-125	15	5	lasry	lasry	NOUN
fis-125	15	6	and	and	CCONJ
fis-125	15	7	belytschko	belytschko	ADJ
fis-125	15	8	,	,	PUNCT
fis-125	15	9	[	[	X
fis-125	15	10	5	5	NUM
fis-125	15	11	]	]	PUNCT
fis-125	15	12	)	)	PUNCT
fis-125	15	13	in	in	ADP
fis-125	15	14	the	the	DET
fis-125	15	15	sense	sense	NOUN
fis-125	15	16	that	that	SCONJ
fis-125	15	17	it	it	PRON
fis-125	15	18	admits	admit	VERB
fis-125	15	19	an	an	DET
fis-125	15	20	infinite	infinite	ADJ
fis-125	15	21	number	number	NOUN
fis-125	15	22	of	of	ADP
fis-125	15	23	linearly	linearly	ADV
fis-125	15	24	independent	independent	ADJ
fis-125	15	25	solutions	solution	NOUN
fis-125	15	26	.	.	PUNCT
fis-125	16	1	in	in	ADP
fis-125	16	2	particular	particular	ADJ
fis-125	16	3	damage	damage	NOUN
fis-125	16	4	can	can	AUX
fis-125	16	5	concentrate	concentrate	VERB
fis-125	16	6	on	on	ADP
fis-125	16	7	arbitrarily	arbitrarily	ADV
fis-125	16	8	small	small	ADJ
fis-125	16	9	zones	zone	NOUN
fis-125	16	10	and	and	CCONJ
fis-125	16	11	thus	thus	ADV
fis-125	16	12	failure	failure	NOUN
fis-125	16	13	arises	arise	VERB
fis-125	16	14	in	in	ADP
fis-125	16	15	the	the	DET
fis-125	16	16	material	material	NOUN
fis-125	16	17	without	without	ADP
fis-125	16	18	dissipation	dissipation	NOUN
fis-125	16	19	energy	energy	NOUN
fis-125	16	20	.	.	PUNCT
fis-125	17	1	furthermore	furthermore	ADV
fis-125	17	2	,	,	PUNCT
fis-125	17	3	numerical	numerical	ADJ
fis-125	17	4	simulation	simulation	NOUN
fis-125	17	5	with	with	ADP
fis-125	17	6	local	local	ADJ
fis-125	17	7	models	model	NOUN
fis-125	17	8	via	via	ADP
fis-125	17	9	finite	finite	ADJ
fis-125	17	10	element	element	NOUN
fis-125	17	11	method	method	NOUN
fis-125	17	12	are	be	AUX
fis-125	17	13	strongly	strongly	ADV
fis-125	17	14	mesh	mesh	ADJ
fis-125	17	15	sensitive	sensitive	ADJ
fis-125	17	16	.	.	PUNCT
fis-125	18	1	two	two	NUM
fis-125	18	2	main	main	ADJ
fis-125	18	3	regularization	regularization	NOUN
fis-125	18	4	techniques	technique	NOUN
fis-125	18	5	exist	exist	VERB
fis-125	18	6	to	to	PART
fis-125	18	7	avoid	avoid	VERB
fis-125	18	8	these	these	DET
fis-125	18	9	pathological	pathological	ADJ
fis-125	18	10	localizations	localization	NOUN
fis-125	18	11	,	,	PUNCT
fis-125	18	12	namely	namely	ADV
fis-125	18	13	the	the	DET
fis-125	18	14	integral	integral	ADJ
fis-125	18	15	(	(	PUNCT
fis-125	18	16	pijaudier	pijaudier	NOUN
fis-125	18	17	-	-	PUNCT
fis-125	18	18	cabot	cabot	NOUN
fis-125	18	19	and	and	CCONJ
fis-125	18	20	bažant	bažant	ADJ
fis-125	18	21	[	[	X
fis-125	18	22	13	13	NUM
fis-125	18	23	]	]	PUNCT
fis-125	18	24	)	)	PUNCT
fis-125	18	25	or	or	CCONJ
fis-125	18	26	the	the	DET
fis-125	18	27	gradient	gradient	NOUN
fis-125	18	28	(	(	PUNCT
fis-125	18	29	pham	pham	PROPN
fis-125	18	30	and	and	CCONJ
fis-125	18	31	marigo[10	marigo[10	NOUN
fis-125	18	32	,	,	PUNCT
fis-125	18	33	11	11	NUM
fis-125	18	34	]	]	PUNCT
fis-125	18	35	)	)	PUNCT
fis-125	18	36	damage	damage	NOUN
fis-125	18	37	approaches	approach	NOUN
fis-125	18	38	,	,	PUNCT
fis-125	18	39	see	see	VERB
fis-125	18	40	also	also	ADV
fis-125	18	41	[	[	X
fis-125	18	42	6	6	NUM
fis-125	18	43	]	]	PUNCT
fis-125	18	44	for	for	ADP
fis-125	18	45	an	an	DET
fis-125	18	46	overview	overview	NOUN
fis-125	18	47	.	.	PUNCT
fis-125	19	1	both	both	PRON
fis-125	19	2	consist	consist	VERB
fis-125	19	3	in	in	ADP
fis-125	19	4	introducing	introduce	VERB
fis-125	19	5	non	non	ADJ
fis-125	19	6	local	local	ADJ
fis-125	19	7	terms	term	NOUN
fis-125	19	8	in	in	ADP
fis-125	19	9	the	the	DET
fis-125	19	10	model	model	NOUN
fis-125	19	11	and	and	CCONJ
fis-125	19	12	hence	hence	ADV
fis-125	19	13	a	a	DET
fis-125	19	14	characteristic	characteristic	ADJ
fis-125	19	15	length	length	NOUN
fis-125	19	16	.	.	PUNCT
fis-125	20	1	we	we	PRON
fis-125	20	2	will	will	AUX
fis-125	20	3	use	use	VERB
fis-125	20	4	gradient	gradient	NOUN
fis-125	20	5	models	model	NOUN
fis-125	20	6	and	and	CCONJ
fis-125	20	7	derive	derive	VERB
fis-125	20	8	the	the	DET
fis-125	20	9	damage	damage	NOUN
fis-125	20	10	evolution	evolution	NOUN
fis-125	20	11	problem	problem	NOUN
fis-125	20	12	from	from	ADP
fis-125	20	13	a	a	DET
fis-125	20	14	variational	variational	ADJ
fis-125	20	15	approach	approach	NOUN
fis-125	20	16	based	base	VERB
fis-125	20	17	on	on	ADP
fis-125	20	18	an	an	DET
fis-125	20	19	energetic	energetic	ADJ
fis-125	20	20	formulation	formulation	NOUN
fis-125	20	21	.	.	PUNCT
fis-125	21	1	the	the	DET
fis-125	21	2	energetic	energetic	ADJ
fis-125	21	3	formulations	formulation	NOUN
fis-125	21	4	,	,	PUNCT
fis-125	21	5	first	first	ADV
fis-125	21	6	introduced	introduce	VERB
fis-125	21	7	by	by	ADP
fis-125	21	8	nguyen	nguyen	NOUN
fis-125	22	1	[	[	X
fis-125	22	2	9	9	NUM
fis-125	22	3	]	]	PUNCT
fis-125	22	4	and	and	CCONJ
fis-125	22	5	then	then	ADV
fis-125	22	6	justified	justify	VERB
fis-125	22	7	by	by	ADP
fis-125	22	8	marigo	marigo	PROPN
fis-125	22	9	[	[	X
fis-125	22	10	7	7	NUM
fis-125	22	11	,	,	PUNCT
fis-125	22	12	8	8	NUM
fis-125	22	13	]	]	PUNCT
fis-125	22	14	by	by	ADP
fis-125	22	15	thermodynamical	thermodynamical	ADJ
fis-125	22	16	arguments	argument	NOUN
fis-125	22	17	for	for	ADP
fis-125	22	18	a	a	DET
fis-125	22	19	large	large	ADJ
fis-125	22	20	class	class	NOUN
fis-125	22	21	of	of	ADP
fis-125	22	22	rate	rate	NOUN
fis-125	22	23	independent	independent	ADJ
fis-125	22	24	behavior	behavior	NOUN
fis-125	22	25	,	,	PUNCT
fis-125	22	26	constitute	constitute	VERB
fis-125	22	27	a	a	DET
fis-125	22	28	very	very	ADV
fis-125	22	29	promising	promising	ADJ
fis-125	22	30	way	way	NOUN
fis-125	22	31	to	to	PART
fis-125	22	32	treat	treat	VERB
fis-125	22	33	in	in	ADP
fis-125	22	34	a	a	DET
fis-125	22	35	unified	unified	ADJ
fis-125	22	36	framework	framework	NOUN
fis-125	22	37	the	the	DET
fis-125	22	38	questions	question	NOUN
fis-125	22	39	of	of	ADP
fis-125	22	40	bifurcation	bifurcation	NOUN
fis-125	22	41	and	and	CCONJ
fis-125	22	42	stability	stability	NOUN
fis-125	22	43	of	of	ADP
fis-125	22	44	solutions	solution	NOUN
fis-125	22	45	to	to	AUX
fis-125	22	46	quasi	quasi	ADJ
fis-125	22	47	-	-	ADJ
fis-125	22	48	static	static	ADJ
fis-125	22	49	evolution	evolution	NOUN
fis-125	22	50	problems	problem	NOUN
fis-125	22	51	.	.	PUNCT
fis-125	23	1	francfort	francfort	NOUN
fis-125	23	2	and	and	CCONJ
fis-125	23	3	marigo	marigo	VERB
fis-125	23	4	[	[	X
fis-125	23	5	4	4	NUM
fis-125	23	6	]	]	PUNCT
fis-125	23	7	and	and	CCONJ
fis-125	23	8	bourdin	bourdin	NOUN
fis-125	23	9	,	,	PUNCT
fis-125	23	10	francfort	francfort	NOUN
fis-125	23	11	and	and	CCONJ
fis-125	23	12	marigo	marigo	VERB
fis-125	23	13	[	[	X
fis-125	23	14	3	3	X
fis-125	23	15	]	]	PUNCT
fis-125	23	16	have	have	AUX
fis-125	23	17	extended	extend	VERB
fis-125	23	18	this	this	DET
fis-125	23	19	approach	approach	NOUN
fis-125	23	20	to	to	ADP
fis-125	23	21	damage	damage	NOUN
fis-125	23	22	and	and	CCONJ
fis-125	23	23	fracture	fracture	NOUN
fis-125	23	24	mechanics	mechanic	NOUN
fis-125	23	25	.	.	PUNCT
fis-125	24	1	considering	consider	VERB
fis-125	24	2	the	the	DET
fis-125	24	3	one	one	NUM
fis-125	24	4	-	-	PUNCT
fis-125	24	5	dimensional	dimensional	ADJ
fis-125	24	6	problem	problem	NOUN
fis-125	24	7	of	of	ADP
fis-125	24	8	a	a	DET
fis-125	24	9	bar	bar	NOUN
fis-125	24	10	under	under	ADP
fis-125	24	11	traction	traction	NOUN
fis-125	24	12	with	with	ADP
fis-125	24	13	a	a	DET
fis-125	24	14	particular	particular	ADJ
fis-125	24	15	gradient	gradient	NOUN
fis-125	24	16	damage	damage	NOUN
fis-125	24	17	model	model	NOUN
fis-125	24	18	,	,	PUNCT
fis-125	24	19	benallal	benallal	NOUN
fis-125	24	20	and	and	CCONJ
fis-125	24	21	marigo	marigo	VERB
fis-125	24	22	[	[	X
fis-125	24	23	2	2	X
fis-125	24	24	]	]	PUNCT
fis-125	24	25	apply	apply	VERB
fis-125	24	26	the	the	DET
fis-125	24	27	variational	variational	ADJ
fis-125	24	28	formulation	formulation	NOUN
fis-125	24	29	and	and	CCONJ
fis-125	24	30	emphasize	emphasize	VERB
fis-125	24	31	the	the	DET
fis-125	24	32	scale	scale	NOUN
fis-125	24	33	effects	effect	NOUN
fis-125	24	34	in	in	ADP
fis-125	24	35	the	the	DET
fis-125	24	36	bifurcation	bifurcation	NOUN
fis-125	24	37	and	and	CCONJ
fis-125	24	38	stability	stability	NOUN
fis-125	24	39	analysis	analysis	NOUN
fis-125	24	40	:	:	PUNCT
fis-125	24	41	the	the	DET
fis-125	24	42	instability	instability	NOUN
fis-125	24	43	of	of	ADP
fis-125	24	44	the	the	DET
fis-125	24	45	homogeneous	homogeneous	ADJ
fis-125	24	46	response	response	NOUN
fis-125	24	47	and	and	CCONJ
fis-125	24	48	the	the	DET
fis-125	24	49	localization	localization	NOUN
fis-125	24	50	of	of	ADP
fis-125	24	51	damage	damage	NOUN
fis-125	24	52	strongly	strongly	ADV
fis-125	24	53	depend	depend	VERB
fis-125	24	54	on	on	ADP
fis-125	24	55	the	the	DET
fis-125	24	56	ratio	ratio	NOUN
fis-125	24	57	between	between	ADP
fis-125	24	58	the	the	DET
fis-125	24	59	size	size	NOUN
fis-125	24	60	of	of	ADP
fis-125	24	61	i	i	PRON
fis-125	24	62	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	24	63	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	24	64	k.	k.	PROPN
fis-125	24	65	pham	pham	PROPN
fis-125	24	66	et	et	PROPN
fis-125	24	67	alii	alii	PROPN
fis-125	24	68	,	,	PUNCT
fis-125	24	69	frattura	frattura	PROPN
fis-125	24	70	ed	ed	PROPN
fis-125	24	71	integrità	integrità	PROPN
fis-125	24	72	strutturale	strutturale	PROPN
fis-125	24	73	,	,	PUNCT
fis-125	24	74	19	19	NUM
fis-125	24	75	(	(	PUNCT
fis-125	24	76	2012	2012	NUM
fis-125	24	77	)	)	PUNCT
fis-125	24	78	5	5	NUM
fis-125	24	79	-	-	SYM
fis-125	24	80	19	19	NUM
fis-125	24	81	;	;	PUNCT
fis-125	24	82	doi	doi	NOUN
fis-125	24	83	:	:	PUNCT
fis-125	24	84	10.3221	10.3221	NUM
fis-125	24	85	/	/	SYM
fis-125	24	86	igf	igf	PROPN
fis-125	24	87	-	-	PUNCT
fis-125	24	88	esis.19.01	esis.19.01	PROPN
fis-125	24	89	6	6	NUM
fis-125	24	90	the	the	DET
fis-125	24	91	body	body	NOUN
fis-125	24	92	and	and	CCONJ
fis-125	24	93	the	the	DET
fis-125	24	94	internal	internal	ADJ
fis-125	24	95	length	length	NOUN
fis-125	24	96	of	of	ADP
fis-125	24	97	the	the	DET
fis-125	24	98	material	material	NOUN
fis-125	24	99	.	.	PUNCT
fis-125	25	1	the	the	DET
fis-125	25	2	goal	goal	NOUN
fis-125	25	3	of	of	ADP
fis-125	25	4	the	the	DET
fis-125	25	5	present	present	ADJ
fis-125	25	6	paper	paper	NOUN
fis-125	25	7	is	be	AUX
fis-125	25	8	to	to	PART
fis-125	25	9	extend	extend	VERB
fis-125	25	10	a	a	DET
fis-125	25	11	part	part	NOUN
fis-125	25	12	of	of	ADP
fis-125	25	13	the	the	DET
fis-125	25	14	results	result	NOUN
fis-125	25	15	(	(	PUNCT
fis-125	25	16	the	the	DET
fis-125	25	17	questions	question	NOUN
fis-125	25	18	of	of	ADP
fis-125	25	19	stability	stability	NOUN
fis-125	25	20	will	will	AUX
fis-125	25	21	no	no	ADV
fis-125	25	22	be	be	AUX
fis-125	25	23	investigated	investigate	VERB
fis-125	25	24	)	)	PUNCT
fis-125	25	25	of	of	ADP
fis-125	25	26	[	[	X
fis-125	25	27	2	2	NUM
fis-125	25	28	]	]	PUNCT
fis-125	25	29	for	for	ADP
fis-125	25	30	a	a	DET
fis-125	25	31	large	large	ADJ
fis-125	25	32	class	class	NOUN
fis-125	25	33	of	of	ADP
fis-125	25	34	elastic	elastic	ADJ
fis-125	25	35	-	-	PUNCT
fis-125	25	36	softening	soften	VERB
fis-125	25	37	material	material	NOUN
fis-125	25	38	.	.	PUNCT
fis-125	26	1	specifically	specifically	ADV
fis-125	26	2	,	,	PUNCT
fis-125	26	3	we	we	PRON
fis-125	26	4	propose	propose	VERB
fis-125	26	5	a	a	DET
fis-125	26	6	general	general	ADJ
fis-125	26	7	method	method	NOUN
fis-125	26	8	to	to	PART
fis-125	26	9	construct	construct	VERB
fis-125	26	10	localized	localized	ADJ
fis-125	26	11	solutions	solution	NOUN
fis-125	26	12	of	of	ADP
fis-125	26	13	the	the	DET
fis-125	26	14	damage	damage	NOUN
fis-125	26	15	evolution	evolution	NOUN
fis-125	26	16	problem	problem	NOUN
fis-125	26	17	and	and	CCONJ
fis-125	26	18	we	we	PRON
fis-125	26	19	study	study	VERB
fis-125	26	20	the	the	DET
fis-125	26	21	influence	influence	NOUN
fis-125	26	22	of	of	ADP
fis-125	26	23	the	the	DET
fis-125	26	24	constitutive	constitutive	ADJ
fis-125	26	25	parameters	parameter	NOUN
fis-125	26	26	on	on	ADP
fis-125	26	27	the	the	DET
fis-125	26	28	response	response	NOUN
fis-125	26	29	.	.	PUNCT
fis-125	27	1	several	several	ADJ
fis-125	27	2	scenarii	scenarii	NOUN
fis-125	27	3	depending	depend	VERB
fis-125	27	4	on	on	ADP
fis-125	27	5	the	the	DET
fis-125	27	6	bar	bar	NOUN
fis-125	27	7	length	length	NOUN
fis-125	27	8	and	and	CCONJ
fis-125	27	9	on	on	ADP
fis-125	27	10	the	the	DET
fis-125	27	11	material	material	NOUN
fis-125	27	12	parameters	parameter	NOUN
fis-125	27	13	enlighten	enlighten	VERB
fis-125	27	14	the	the	DET
fis-125	27	15	size	size	NOUN
fis-125	27	16	effects	effect	NOUN
fis-125	27	17	induced	induce	VERB
fis-125	27	18	by	by	ADP
fis-125	27	19	the	the	DET
fis-125	27	20	non	non	ADJ
fis-125	27	21	local	local	ADJ
fis-125	27	22	term	term	NOUN
fis-125	27	23	.	.	PUNCT
fis-125	28	1	the	the	DET
fis-125	28	2	paper	paper	NOUN
fis-125	28	3	is	be	AUX
fis-125	28	4	structured	structure	VERB
fis-125	28	5	as	as	SCONJ
fis-125	28	6	follows	follow	VERB
fis-125	28	7	.	.	PUNCT
fis-125	29	1	section	section	NOUN
fis-125	29	2	setting	setting	NOUN
fis-125	29	3	of	of	ADP
fis-125	29	4	the	the	DET
fis-125	29	5	gamage	gamage	NOUN
fis-125	29	6	problem	problem	NOUN
fis-125	29	7	is	be	AUX
fis-125	29	8	devoted	devote	VERB
fis-125	29	9	to	to	ADP
fis-125	29	10	the	the	DET
fis-125	29	11	statement	statement	NOUN
fis-125	29	12	of	of	ADP
fis-125	29	13	the	the	DET
fis-125	29	14	damage	damage	NOUN
fis-125	29	15	evolution	evolution	NOUN
fis-125	29	16	problem	problem	NOUN
fis-125	29	17	.	.	PUNCT
fis-125	30	1	in	in	ADP
fis-125	30	2	section	section	NOUN
fis-125	30	3	non	non	ADJ
fis-125	30	4	homogeneous	homogeneous	ADJ
fis-125	30	5	solutions	solution	NOUN
fis-125	30	6	of	of	ADP
fis-125	30	7	the	the	DET
fis-125	30	8	damage	damage	NOUN
fis-125	30	9	problem	problem	NOUN
fis-125	30	10	we	we	PRON
fis-125	30	11	describe	describe	VERB
fis-125	30	12	,	,	PUNCT
fis-125	30	13	perform	perform	VERB
fis-125	30	14	and	and	CCONJ
fis-125	30	15	illustrate	illustrate	VERB
fis-125	30	16	the	the	DET
fis-125	30	17	method	method	NOUN
fis-125	30	18	of	of	ADP
fis-125	30	19	construction	construction	NOUN
fis-125	30	20	of	of	ADP
fis-125	30	21	localized	localized	ADJ
fis-125	30	22	solutions	solution	NOUN
fis-125	30	23	and	and	CCONJ
fis-125	30	24	conclude	conclude	VERB
fis-125	30	25	by	by	ADP
fis-125	30	26	the	the	DET
fis-125	30	27	different	different	ADJ
fis-125	30	28	scenarii	scenarii	NOUN
fis-125	30	29	of	of	ADP
fis-125	30	30	responses	response	NOUN
fis-125	30	31	.	.	PUNCT
fis-125	31	1	the	the	DET
fis-125	31	2	following	follow	VERB
fis-125	31	3	notation	notation	NOUN
fis-125	31	4	are	be	AUX
fis-125	31	5	used	use	VERB
fis-125	31	6	:	:	PUNCT
fis-125	31	7	the	the	DET
fis-125	31	8	prime	prime	ADJ
fis-125	31	9	denotes	denote	NOUN
fis-125	31	10	either	either	CCONJ
fis-125	31	11	the	the	DET
fis-125	31	12	spatial	spatial	ADJ
fis-125	31	13	derivative	derivative	NOUN
fis-125	31	14	or	or	CCONJ
fis-125	31	15	the	the	DET
fis-125	31	16	derivative	derivative	NOUN
fis-125	31	17	with	with	ADP
fis-125	31	18	respect	respect	NOUN
fis-125	31	19	to	to	ADP
fis-125	31	20	the	the	DET
fis-125	31	21	damage	damage	NOUN
fis-125	31	22	parameter	parameter	NOUN
fis-125	31	23	,	,	PUNCT
fis-125	31	24	the	the	DET
fis-125	31	25	dot	dot	NOUN
fis-125	31	26	the	the	DET
fis-125	31	27	time	time	NOUN
fis-125	31	28	derivative	derivative	ADJ
fis-125	31	29	,	,	PUNCT
fis-125	31	30	e.g.	e.g.	ADV
fis-125	31	31	=	=	SYM
fis-125	31	32	/	/	PUNCT
fis-125	31	33			PROPN
fis-125	31	34	u	u	ADJ
fis-125	31	35	u	u	NOUN
fis-125	31	36	x	x	PROPN
fis-125	31	37	,	,	PUNCT
fis-125	31	38	(	(	PUNCT
fis-125	31	39	)	)	PUNCT
fis-125	31	40	=	=	SYM
fis-125	31	41	(	(	PUNCT
fis-125	31	42	)	)	PUNCT
fis-125	31	43	/	/	X
fis-125	31	44			X
fis-125	31	45	e	e	X
fis-125	31	46	de	de	X
fis-125	31	47	d	d	PROPN
fis-125	31	48	,	,	PUNCT
fis-125	31	49	=	=	SYM
fis-125	31	50	/	/	X
fis-125	31	51			PROPN
fis-125	31	52			PROPN
fis-125	31	53	t	t	PROPN
fis-125	31	54	.	.	PUNCT
fis-125	32	1	setting	set	VERB
fis-125	32	2	of	of	ADP
fis-125	32	3	the	the	DET
fis-125	32	4	damage	damage	NOUN
fis-125	32	5	problem	problem	NOUN
fis-125	32	6	the	the	DET
fis-125	32	7	gradient	gradient	ADJ
fis-125	32	8	damage	damage	NOUN
fis-125	32	9	model	model	NOUN
fis-125	32	10	e	e	NOUN
fis-125	32	11	consider	consider	VERB
fis-125	32	12	a	a	DET
fis-125	32	13	one	one	NUM
fis-125	32	14	-	-	PUNCT
fis-125	32	15	dimensional	dimensional	ADJ
fis-125	32	16	gradient	gradient	ADJ
fis-125	32	17	damage	damage	NOUN
fis-125	32	18	model	model	NOUN
fis-125	32	19	in	in	ADP
fis-125	32	20	which	which	PRON
fis-125	32	21	the	the	DET
fis-125	32	22	damage	damage	NOUN
fis-125	32	23	variable	variable	NOUN
fis-125	32	24			PROPN
fis-125	32	25	is	be	AUX
fis-125	32	26	a	a	DET
fis-125	32	27	real	real	ADJ
fis-125	32	28	number	number	NOUN
fis-125	32	29	growing	grow	VERB
fis-125	32	30	from	from	ADP
fis-125	32	31	0	0	NUM
fis-125	32	32	to	to	ADP
fis-125	32	33	1	1	NUM
fis-125	32	34	,	,	PUNCT
fis-125	32	35	=	=	SYM
fis-125	32	36	0	0	PROPN
fis-125	32	37	is	be	AUX
fis-125	32	38	the	the	DET
fis-125	32	39	undamaged	undamaged	ADJ
fis-125	32	40	state	state	NOUN
fis-125	32	41	and	and	CCONJ
fis-125	32	42	=	=	NOUN
fis-125	32	43	1	1	PROPN
fis-125	32	44	is	be	AUX
fis-125	32	45	the	the	DET
fis-125	32	46	full	full	ADJ
fis-125	32	47	damaged	damaged	ADJ
fis-125	32	48	state	state	NOUN
fis-125	32	49	.	.	PUNCT
fis-125	33	1	the	the	DET
fis-125	33	2	behavior	behavior	NOUN
fis-125	33	3	of	of	ADP
fis-125	33	4	the	the	DET
fis-125	33	5	material	material	NOUN
fis-125	33	6	is	be	AUX
fis-125	33	7	characterized	characterize	VERB
fis-125	33	8	by	by	ADP
fis-125	33	9	the	the	DET
fis-125	33	10	state	state	NOUN
fis-125	33	11	function	function	NOUN
fis-125	33	12	w	w	PUNCT
fis-125	33	13	which	which	PRON
fis-125	33	14	gives	give	VERB
fis-125	33	15	the	the	DET
fis-125	33	16	energy	energy	NOUN
fis-125	33	17	density	density	NOUN
fis-125	33	18	at	at	ADP
fis-125	33	19	each	each	DET
fis-125	33	20	point	point	NOUN
fis-125	33	21	x	x	INTJ
fis-125	33	22	.	.	PUNCT
fis-125	34	1	it	it	PRON
fis-125	34	2	depends	depend	VERB
fis-125	34	3	on	on	ADP
fis-125	34	4	the	the	DET
fis-125	34	5	local	local	ADJ
fis-125	34	6	strain	strain	NOUN
fis-125	34	7	(	(	PUNCT
fis-125	34	8	)	)	PUNCT
fis-125	34	9	u	u	NOUN
fis-125	34	10	x	x	SYM
fis-125	34	11	(	(	PUNCT
fis-125	34	12	u	u	NOUN
fis-125	34	13	denotes	denote	VERB
fis-125	34	14	the	the	DET
fis-125	34	15	displacement	displacement	NOUN
fis-125	34	16	and	and	CCONJ
fis-125	34	17	the	the	DET
fis-125	34	18	prime	prime	NOUN
fis-125	34	19	stands	stand	VERB
fis-125	34	20	for	for	ADP
fis-125	34	21	the	the	DET
fis-125	34	22	spatial	spatial	ADJ
fis-125	34	23	derivative	derivative	NOUN
fis-125	34	24	)	)	PUNCT
fis-125	34	25	,	,	PUNCT
fis-125	34	26	the	the	DET
fis-125	34	27	local	local	ADJ
fis-125	34	28	damage	damage	NOUN
fis-125	34	29	value	value	NOUN
fis-125	34	30	(	(	PUNCT
fis-125	34	31	)	)	PUNCT
fis-125	34	32			X
fis-125	34	33	x	x	PUNCT
fis-125	34	34	and	and	CCONJ
fis-125	34	35	the	the	DET
fis-125	34	36	local	local	ADJ
fis-125	34	37	gradient	gradient	NOUN
fis-125	34	38	(	(	PUNCT
fis-125	34	39	)	)	PUNCT
fis-125	34	40			X
fis-125	34	41	x	x	X
fis-125	34	42	of	of	ADP
fis-125	34	43	the	the	DET
fis-125	34	44	damage	damage	NOUN
fis-125	34	45	field	field	NOUN
fis-125	34	46	at	at	ADP
fis-125	34	47	x	x	X
fis-125	34	48	.	.	PUNCT
fis-125	35	1	specifically	specifically	ADV
fis-125	35	2	,	,	PUNCT
fis-125	35	3	we	we	PRON
fis-125	35	4	assume	assume	VERB
fis-125	35	5	that	that	SCONJ
fis-125	35	6	w	w	PRON
fis-125	35	7	takes	take	VERB
fis-125	35	8	the	the	DET
fis-125	35	9	following	follow	VERB
fis-125	35	10	form	form	NOUN
fis-125	35	11	2	2	NUM
fis-125	35	12	2	2	NUM
fis-125	35	13	2	2	NUM
fis-125	35	14	0	0	NUM
fis-125	35	15	1	1	NUM
fis-125	35	16	1	1	NUM
fis-125	35	17	(	(	PUNCT
fis-125	35	18	,	,	PUNCT
fis-125	35	19	,	,	PUNCT
fis-125	35	20	)	)	PUNCT
fis-125	35	21	=	=	SYM
fis-125	36	1	(	(	PUNCT
fis-125	36	2	)	)	PUNCT
fis-125	36	3	(	(	PUNCT
fis-125	36	4	)	)	PUNCT
fis-125	36	5	2	2	NUM
fis-125	36	6	2	2	NUM
fis-125	36	7			NOUN
fis-125	36	8			X
fis-125	36	9			X
fis-125	36	10			X
fis-125	36	11			X
fis-125	36	12			ADV
fis-125	36	13			ADJ
fis-125	36	14			PUNCT
fis-125	36	15			NOUN
fis-125	37	1	w	w	X
fis-125	37	2	u	u	NOUN
fis-125	37	3	e	e	PROPN
fis-125	37	4	u	u	PROPN
fis-125	37	5	w	w	PROPN
fis-125	37	6	e	e	X
fis-125	37	7	(	(	PUNCT
fis-125	37	8	1	1	NUM
fis-125	37	9	)	)	PUNCT
fis-125	37	10	where	where	SCONJ
fis-125	37	11	0e	0e	NOUN
fis-125	37	12	represents	represent	VERB
fis-125	37	13	the	the	DET
fis-125	37	14	young	young	ADJ
fis-125	37	15	modulus	modulus	NOUN
fis-125	37	16	of	of	ADP
fis-125	37	17	the	the	DET
fis-125	37	18	undamaged	undamaged	ADJ
fis-125	37	19	material	material	NOUN
fis-125	37	20	,	,	PUNCT
fis-125	37	21	(	(	PUNCT
fis-125	37	22	)	)	PUNCT
fis-125	37	23	e	e	ADP
fis-125	37	24	the	the	DET
fis-125	37	25	young	young	ADJ
fis-125	37	26	modulus	modulus	NOUN
fis-125	37	27	of	of	ADP
fis-125	37	28	the	the	DET
fis-125	37	29	material	material	NOUN
fis-125	37	30	in	in	ADP
fis-125	37	31	the	the	DET
fis-125	37	32	damage	damage	NOUN
fis-125	37	33	state	state	NOUN
fis-125	37	34			X
fis-125	37	35	and	and	CCONJ
fis-125	37	36	(	(	PUNCT
fis-125	37	37	)	)	PUNCT
fis-125	37	38	w	w	NUM
fis-125	37	39	can	can	AUX
fis-125	37	40	be	be	AUX
fis-125	37	41	interpreted	interpret	VERB
fis-125	37	42	as	as	ADP
fis-125	37	43	the	the	DET
fis-125	37	44	density	density	NOUN
fis-125	37	45	of	of	ADP
fis-125	37	46	the	the	DET
fis-125	37	47	energy	energy	NOUN
fis-125	37	48	dissipated	dissipate	VERB
fis-125	37	49	by	by	ADP
fis-125	37	50	the	the	DET
fis-125	37	51	material	material	NOUN
fis-125	37	52	during	during	ADP
fis-125	37	53	a	a	DET
fis-125	37	54	homogeneous	homogeneous	ADJ
fis-125	37	55	damage	damage	NOUN
fis-125	37	56	process	process	NOUN
fis-125	37	57	(	(	PUNCT
fis-125	37	58	i.e.	i.e.	X
fis-125	37	59	a	a	DET
fis-125	37	60	process	process	NOUN
fis-125	37	61	such	such	ADJ
fis-125	37	62	that	that	PRON
fis-125	37	63	(	(	PUNCT
fis-125	37	64	)	)	PUNCT
fis-125	37	65			NOUN
fis-125	37	66	x	x	X
fis-125	38	1	=	=	SYM
fis-125	38	2	0	0	NUM
fis-125	38	3	)	)	PUNCT
fis-125	38	4	where	where	SCONJ
fis-125	38	5	the	the	DET
fis-125	38	6	damage	damage	NOUN
fis-125	38	7	variable	variable	NOUN
fis-125	38	8	of	of	ADP
fis-125	38	9	the	the	DET
fis-125	38	10	material	material	NOUN
fis-125	38	11	point	point	NOUN
fis-125	38	12	grows	grow	VERB
fis-125	38	13	from	from	ADP
fis-125	38	14	0	0	NUM
fis-125	38	15	to	to	ADP
fis-125	38	16			NOUN
fis-125	38	17	.	.	PUNCT
fis-125	39	1	the	the	DET
fis-125	39	2	last	last	ADJ
fis-125	39	3	term	term	NOUN
fis-125	39	4	in	in	ADP
fis-125	39	5	the	the	DET
fis-125	39	6	right	right	ADJ
fis-125	39	7	hand	hand	NOUN
fis-125	39	8	side	side	NOUN
fis-125	39	9	of	of	ADP
fis-125	39	10	(	(	PUNCT
fis-125	39	11	1	1	NUM
fis-125	39	12	)	)	PUNCT
fis-125	39	13	is	be	AUX
fis-125	39	14	the	the	DET
fis-125	39	15	`	`	PUNCT
fis-125	39	16	`	`	PUNCT
fis-125	39	17	non	non	ADJ
fis-125	39	18	local	local	ADJ
fis-125	39	19	"	"	PUNCT
fis-125	39	20	part	part	NOUN
fis-125	39	21	of	of	ADP
fis-125	39	22	the	the	DET
fis-125	39	23	energy	energy	NOUN
fis-125	39	24	which	which	PRON
fis-125	39	25	plays	play	VERB
fis-125	39	26	,	,	PUNCT
fis-125	39	27	as	as	SCONJ
fis-125	39	28	we	we	PRON
fis-125	39	29	will	will	AUX
fis-125	39	30	see	see	VERB
fis-125	39	31	later	later	ADV
fis-125	39	32	,	,	PUNCT
fis-125	39	33	a	a	DET
fis-125	39	34	regularizing	regularize	VERB
fis-125	39	35	role	role	NOUN
fis-125	39	36	by	by	ADP
fis-125	39	37	limiting	limit	VERB
fis-125	39	38	the	the	DET
fis-125	39	39	possibilities	possibility	NOUN
fis-125	39	40	of	of	ADP
fis-125	39	41	localization	localization	NOUN
fis-125	39	42	of	of	ADP
fis-125	39	43	the	the	DET
fis-125	39	44	damage	damage	NOUN
fis-125	39	45	field	field	NOUN
fis-125	39	46	.	.	PUNCT
fis-125	40	1	for	for	ADP
fis-125	40	2	obvious	obvious	ADJ
fis-125	40	3	reasons	reason	NOUN
fis-125	40	4	of	of	ADP
fis-125	40	5	physical	physical	ADJ
fis-125	40	6	dimension	dimension	NOUN
fis-125	40	7	,	,	PUNCT
fis-125	40	8	it	it	PRON
fis-125	40	9	involves	involve	VERB
fis-125	40	10	a	a	DET
fis-125	40	11	material	material	ADJ
fis-125	40	12	characteristic	characteristic	ADJ
fis-125	40	13	length	length	NOUN
fis-125	40	14			X
fis-125	40	15	that	that	PRON
fis-125	40	16	will	will	AUX
fis-125	40	17	fix	fix	VERB
fis-125	40	18	the	the	DET
fis-125	40	19	size	size	NOUN
fis-125	40	20	of	of	ADP
fis-125	40	21	the	the	DET
fis-125	40	22	damage	damage	NOUN
fis-125	40	23	localization	localization	NOUN
fis-125	40	24	zone	zone	NOUN
fis-125	40	25	.	.	PUNCT
fis-125	41	1	the	the	DET
fis-125	41	2	local	local	ADJ
fis-125	41	3	model	model	NOUN
fis-125	41	4	associated	associate	VERB
fis-125	41	5	with	with	ADP
fis-125	41	6	the	the	DET
fis-125	41	7	gradient	gradient	NOUN
fis-125	41	8	model	model	NOUN
fis-125	41	9	consists	consist	VERB
fis-125	41	10	in	in	ADP
fis-125	41	11	setting	set	VERB
fis-125	41	12	=	=	PUNCT
fis-125	41	13	0	0	NUM
fis-125	41	14	and	and	CCONJ
fis-125	41	15	hence	hence	ADV
fis-125	41	16	in	in	ADP
fis-125	41	17	replacing	replace	VERB
fis-125	41	18	w	w	PUNCT
fis-125	41	19	by	by	ADP
fis-125	41	20	0w	0w	NUM
fis-125	41	21	:	:	PUNCT
fis-125	41	22	2	2	NUM
fis-125	41	23	0	0	NUM
fis-125	41	24	1	1	NUM
fis-125	41	25	(	(	PUNCT
fis-125	41	26	,	,	PUNCT
fis-125	41	27	)	)	PUNCT
fis-125	41	28	:	:	PUNCT
fis-125	41	29	=	=	SYM
fis-125	41	30	(	(	PUNCT
fis-125	41	31	)	)	PUNCT
fis-125	41	32	(	(	PUNCT
fis-125	41	33	)	)	PUNCT
fis-125	41	34	2	2	NUM
fis-125	41	35			NOUN
fis-125	41	36			X
fis-125	41	37			X
fis-125	41	38			ADJ
fis-125	41	39	w	w	ADP
fis-125	41	40	u	u	X
fis-125	41	41	e	e	PROPN
fis-125	41	42	u	u	NOUN
fis-125	41	43	w	w	PROPN
fis-125	41	44	(	(	PUNCT
fis-125	41	45	2	2	NUM
fis-125	41	46	)	)	PUNCT
fis-125	41	47	the	the	DET
fis-125	41	48	qualitative	qualitative	ADJ
fis-125	41	49	properties	property	NOUN
fis-125	41	50	of	of	ADP
fis-125	41	51	the	the	DET
fis-125	41	52	(	(	PUNCT
fis-125	41	53	gradient	gradient	NOUN
fis-125	41	54	or	or	CCONJ
fis-125	41	55	local	local	ADJ
fis-125	41	56	)	)	PUNCT
fis-125	41	57	model	model	NOUN
fis-125	41	58	,	,	PUNCT
fis-125	41	59	in	in	ADP
fis-125	41	60	particular	particular	ADJ
fis-125	41	61	its	its	PRON
fis-125	41	62	softening	softening	NOUN
fis-125	41	63	or	or	CCONJ
fis-125	41	64	hardening	harden	VERB
fis-125	41	65	character	character	NOUN
fis-125	41	66	,	,	PUNCT
fis-125	41	67	strongly	strongly	ADV
fis-125	41	68	depend	depend	VERB
fis-125	41	69	on	on	ADP
fis-125	41	70	some	some	DET
fis-125	41	71	properties	property	NOUN
fis-125	41	72	of	of	ADP
fis-125	41	73	the	the	DET
fis-125	41	74	stiffness	stiffness	ADJ
fis-125	41	75	function	function	NOUN
fis-125	41	76	(	(	PUNCT
fis-125	41	77	)	)	PUNCT
fis-125	41	78			NOUN
fis-125	41	79			NUM
fis-125	41	80	e	e	NOUN
fis-125	41	81	,	,	PUNCT
fis-125	41	82	the	the	DET
fis-125	41	83	dissipation	dissipation	NOUN
fis-125	41	84	function	function	NOUN
fis-125	41	85	(	(	PUNCT
fis-125	41	86	)	)	PUNCT
fis-125	41	87			X
fis-125	41	88			NUM
fis-125	41	89	w	w	PROPN
fis-125	41	90	,	,	PUNCT
fis-125	41	91	the	the	DET
fis-125	41	92	compliance	compliance	NOUN
fis-125	41	93	function	function	NOUN
fis-125	41	94	(	(	PUNCT
fis-125	41	95	)	)	PUNCT
fis-125	41	96	=	=	SYM
fis-125	41	97	1	1	NUM
fis-125	41	98	/	/	SYM
fis-125	41	99	(	(	PUNCT
fis-125	41	100	)	)	PUNCT
fis-125	41	101			X
fis-125	41	102			PRON
fis-125	41	103			PRON
fis-125	41	104	s	s	NOUN
fis-125	41	105	e	e	NOUN
fis-125	41	106	and	and	CCONJ
fis-125	41	107	their	their	PRON
fis-125	41	108	derivatives	derivative	NOUN
fis-125	41	109	.	.	PUNCT
fis-125	42	1	from	from	ADP
fis-125	42	2	now	now	ADV
fis-125	42	3	on	on	ADV
fis-125	42	4	we	we	PRON
fis-125	42	5	will	will	AUX
fis-125	42	6	adopt	adopt	VERB
fis-125	42	7	the	the	DET
fis-125	42	8	following	following	ADJ
fis-125	42	9	hypothesis	hypothesis	NOUN
fis-125	42	10	,	,	PUNCT
fis-125	42	11	the	the	DET
fis-125	42	12	importance	importance	NOUN
fis-125	42	13	of	of	ADP
fis-125	42	14	which	which	PRON
fis-125	42	15	will	will	AUX
fis-125	42	16	appear	appear	VERB
fis-125	42	17	later	later	ADV
fis-125	42	18	:	:	PUNCT
fis-125	42	19	hypothesis	hypothesis	NOUN
fis-125	42	20	1	1	NUM
fis-125	42	21	(	(	PUNCT
fis-125	42	22	constitutive	constitutive	ADJ
fis-125	42	23	assumptions	assumption	NOUN
fis-125	42	24	)	)	PUNCT
fis-125	42	25	(	(	PUNCT
fis-125	42	26	)	)	PUNCT
fis-125	42	27			NOUN
fis-125	42	28			NUM
fis-125	42	29	e	e	NOUN
fis-125	42	30	and	and	CCONJ
fis-125	42	31	(	(	PUNCT
fis-125	42	32	)	)	PUNCT
fis-125	42	33			NOUN
fis-125	42	34			NUM
fis-125	42	35	w	w	NOUN
fis-125	42	36	are	be	AUX
fis-125	42	37	non	non	X
fis-125	42	38	negative	negative	ADJ
fis-125	42	39	and	and	CCONJ
fis-125	42	40	continuously	continuously	ADV
fis-125	42	41	differentiable	differentiable	VERB
fis-125	42	42	with	with	ADP
fis-125	42	43	(	(	PUNCT
fis-125	42	44	1	1	X
fis-125	42	45	)	)	PUNCT
fis-125	43	1	=	=	NOUN
fis-125	43	2	0e	0e	NOUN
fis-125	43	3	,	,	PUNCT
fis-125	43	4	(	(	PUNCT
fis-125	43	5	0	0	NUM
fis-125	43	6	)	)	PUNCT
fis-125	44	1	=	=	SYM
fis-125	44	2	0w	0w	NOUN
fis-125	44	3	,	,	PUNCT
fis-125	44	4	(	(	PUNCT
fis-125	44	5	)	)	PUNCT
fis-125	44	6	<	<	X
fis-125	44	7	0e	0e	PUNCT
fis-125	44	8	and	and	CCONJ
fis-125	44	9	(	(	PUNCT
fis-125	44	10	)	)	PUNCT
fis-125	44	11	>	>	PUNCT
fis-125	44	12	0w	0w	NUM
fis-125	44	13	for	for	ADP
fis-125	44	14	all	all	DET
fis-125	44	15	[	[	NOUN
fis-125	44	16	0,1)	0,1)	ADJ
fis-125	44	17			NOUN
fis-125	44	18	.	.	PUNCT
fis-125	45	1	moreover	moreover	ADV
fis-125	45	2	(	(	PUNCT
fis-125	45	3	)	)	PUNCT
fis-125	45	4	/	/	SYM
fis-125	45	5	(	(	PUNCT
fis-125	45	6	)	)	PUNCT
fis-125	45	7			NOUN
fis-125	45	8			X
fis-125	46	1	w	w	PROPN
fis-125	46	2	e	e	PROPN
fis-125	46	3	is	be	AUX
fis-125	46	4	increasing	increase	VERB
fis-125	46	5	to	to	ADP
fis-125	46	6			ADJ
fis-125	46	7	while	while	SCONJ
fis-125	46	8	(	(	PUNCT
fis-125	46	9	)	)	PUNCT
fis-125	46	10	/	/	SYM
fis-125	46	11	(	(	PUNCT
fis-125	46	12	)	)	PUNCT
fis-125	46	13			NOUN
fis-125	46	14			ADP
fis-125	46	15	w	w	PROPN
fis-125	46	16	s	s	VERB
fis-125	46	17	is	be	AUX
fis-125	46	18	decreasing	decrease	VERB
fis-125	46	19	to	to	ADP
fis-125	46	20	0	0	NUM
fis-125	46	21	when	when	SCONJ
fis-125	46	22			NOUN
fis-125	46	23	grows	grow	VERB
fis-125	46	24	from	from	ADP
fis-125	46	25	0	0	NUM
fis-125	46	26	to	to	PART
fis-125	46	27	1	1	NUM
fis-125	46	28	.	.	PUNCT
fis-125	47	1	let	let	VERB
fis-125	47	2	us	we	PRON
fis-125	47	3	comment	comment	VERB
fis-125	47	4	this	this	DET
fis-125	47	5	hypothesis	hypothesis	NOUN
fis-125	47	6	before	before	ADV
fis-125	47	7	to	to	PART
fis-125	47	8	give	give	VERB
fis-125	47	9	an	an	DET
fis-125	47	10	example	example	NOUN
fis-125	47	11	1	1	NUM
fis-125	47	12	.	.	PUNCT
fis-125	48	1	the	the	DET
fis-125	48	2	interval	interval	NOUN
fis-125	48	3	of	of	ADP
fis-125	48	4	definition	definition	NOUN
fis-125	48	5	of	of	ADP
fis-125	48	6			PRON
fis-125	48	7	can	can	AUX
fis-125	48	8	always	always	ADV
fis-125	48	9	be	be	AUX
fis-125	48	10	taken	take	VERB
fis-125	48	11	as	as	ADP
fis-125	48	12	[	[	NOUN
fis-125	48	13	0,1	0,1	NUM
fis-125	48	14	]	]	PUNCT
fis-125	48	15	after	after	ADP
fis-125	48	16	a	a	DET
fis-125	48	17	change	change	NOUN
fis-125	48	18	of	of	ADP
fis-125	48	19	the	the	DET
fis-125	48	20	damage	damage	NOUN
fis-125	48	21	variable	variable	NOUN
fis-125	48	22	;	;	PUNCT
fis-125	49	1	2	2	X
fis-125	49	2	.	.	X
fis-125	49	3	the	the	DET
fis-125	49	4	condition	condition	NOUN
fis-125	49	5	<	<	X
fis-125	49	6	0e	0e	PROPN
fis-125	49	7	denotes	denote	VERB
fis-125	49	8	the	the	DET
fis-125	49	9	decrease	decrease	NOUN
fis-125	49	10	of	of	ADP
fis-125	49	11	the	the	DET
fis-125	49	12	material	material	ADJ
fis-125	49	13	stiffness	stiffness	NOUN
fis-125	49	14	when	when	SCONJ
fis-125	49	15	the	the	DET
fis-125	49	16	damage	damage	NOUN
fis-125	49	17	grows	grow	VERB
fis-125	49	18	;	;	PUNCT
fis-125	50	1	3	3	X
fis-125	50	2	.	.	X
fis-125	51	1	the	the	DET
fis-125	51	2	condition	condition	NOUN
fis-125	51	3	(	(	PUNCT
fis-125	51	4	1	1	NUM
fis-125	51	5	)	)	PUNCT
fis-125	51	6	=	=	NOUN
fis-125	51	7	0e	0e	NOUN
fis-125	51	8	ensures	ensure	VERB
fis-125	51	9	the	the	DET
fis-125	51	10	total	total	ADJ
fis-125	51	11	loss	loss	NOUN
fis-125	51	12	of	of	ADP
fis-125	51	13	stiffness	stiffness	NOUN
fis-125	51	14	when	when	SCONJ
fis-125	51	15	=	=	NOUN
fis-125	51	16	1	1	NUM
fis-125	51	17	;	;	PUNCT
fis-125	52	1	4	4	X
fis-125	52	2	.	.	X
fis-125	52	3	the	the	DET
fis-125	52	4	positivity	positivity	NOUN
fis-125	52	5	and	and	CCONJ
fis-125	52	6	the	the	DET
fis-125	52	7	monotonicity	monotonicity	NOUN
fis-125	52	8	of	of	ADP
fis-125	52	9	w	w	PROPN
fis-125	52	10	is	be	AUX
fis-125	52	11	natural	natural	ADJ
fis-125	52	12	since	since	SCONJ
fis-125	52	13	(	(	PUNCT
fis-125	52	14	)	)	PUNCT
fis-125	52	15	w	w	NUM
fis-125	52	16	represents	represent	VERB
fis-125	52	17	the	the	DET
fis-125	52	18	energy	energy	NOUN
fis-125	52	19	dissipated	dissipate	VERB
fis-125	52	20	during	during	ADP
fis-125	52	21	a	a	DET
fis-125	52	22	damage	damage	NOUN
fis-125	52	23	process	process	NOUN
fis-125	52	24	where	where	SCONJ
fis-125	52	25	the	the	DET
fis-125	52	26	damage	damage	NOUN
fis-125	52	27	grows	grow	VERB
fis-125	52	28	homogeneously	homogeneously	ADV
fis-125	52	29	in	in	ADP
fis-125	52	30	space	space	NOUN
fis-125	52	31	from	from	ADP
fis-125	52	32	0	0	NUM
fis-125	52	33	to	to	ADP
fis-125	52	34			NOUN
fis-125	52	35	;	;	PUNCT
fis-125	52	36	5	5	X
fis-125	52	37	.	.	PUNCT
fis-125	53	1	the	the	DET
fis-125	53	2	boundedness	boundedness	NOUN
fis-125	53	3	of	of	ADP
fis-125	53	4	w	w	PROPN
fis-125	53	5	is	be	AUX
fis-125	53	6	characteristic	characteristic	ADJ
fis-125	53	7	of	of	ADP
fis-125	53	8	strongly	strongly	ADV
fis-125	53	9	brittle	brittle	ADJ
fis-125	53	10	materials	material	NOUN
fis-125	53	11	with	with	ADP
fis-125	53	12	softening	soften	VERB
fis-125	53	13	;	;	PUNCT
fis-125	53	14	this	this	DET
fis-125	53	15	condition	condition	NOUN
fis-125	53	16	disappears	disappear	VERB
fis-125	53	17	in	in	ADP
fis-125	53	18	the	the	DET
fis-125	53	19	case	case	NOUN
fis-125	53	20	of	of	ADP
fis-125	53	21	weakly	weakly	ADJ
fis-125	53	22	brittle	brittle	ADJ
fis-125	53	23	materials	material	NOUN
fis-125	53	24	with	with	ADP
fis-125	53	25	softening	soften	VERB
fis-125	53	26	or	or	CCONJ
fis-125	53	27	in	in	ADP
fis-125	53	28	the	the	DET
fis-125	53	29	case	case	NOUN
fis-125	53	30	of	of	ADP
fis-125	53	31	brittle	brittle	ADJ
fis-125	53	32	material	material	NOUN
fis-125	53	33	with	with	ADP
fis-125	53	34	hardening	hardening	NOUN
fis-125	53	35	;	;	PUNCT
fis-125	53	36	w	w	PROPN
fis-125	53	37	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	53	38	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	53	39	k.	k.	PROPN
fis-125	53	40	pham	pham	PROPN
fis-125	53	41	et	et	PROPN
fis-125	53	42	alii	alii	PROPN
fis-125	53	43	,	,	PUNCT
fis-125	53	44	frattura	frattura	PROPN
fis-125	53	45	ed	ed	PROPN
fis-125	53	46	integrità	integrità	PROPN
fis-125	53	47	strutturale	strutturale	PROPN
fis-125	53	48	,	,	PUNCT
fis-125	53	49	19	19	NUM
fis-125	53	50	(	(	PUNCT
fis-125	53	51	2012	2012	NUM
fis-125	53	52	)	)	PUNCT
fis-125	53	53	5	5	NUM
fis-125	53	54	-	-	SYM
fis-125	53	55	19	19	NUM
fis-125	53	56	;	;	PUNCT
fis-125	53	57	doi	doi	NOUN
fis-125	53	58	:	:	PUNCT
fis-125	53	59	10.3221	10.3221	NUM
fis-125	53	60	/	/	SYM
fis-125	53	61	igf	igf	PROPN
fis-125	53	62	-	-	PUNCT
fis-125	53	63	esis.19.01	esis.19.01	ADJ
fis-125	53	64	7	7	NUM
fis-125	53	65	6	6	NUM
fis-125	53	66	.	.	PUNCT
fis-125	54	1	the	the	DET
fis-125	54	2	condition	condition	NOUN
fis-125	54	3	of	of	ADP
fis-125	54	4	monotonicity	monotonicity	NOUN
fis-125	54	5	of	of	ADP
fis-125	54	6	/	/	PUNCT
fis-125	54	7	w	w	PROPN
fis-125	54	8	e	e	PROPN
fis-125	54	9	is	be	AUX
fis-125	54	10	introduced	introduce	VERB
fis-125	54	11	by	by	ADP
fis-125	54	12	sake	sake	NOUN
fis-125	54	13	of	of	ADP
fis-125	54	14	simplicity	simplicity	NOUN
fis-125	54	15	;	;	PUNCT
fis-125	54	16	it	it	PRON
fis-125	54	17	is	be	AUX
fis-125	54	18	unessential	unessential	ADJ
fis-125	54	19	and	and	CCONJ
fis-125	54	20	denotes	denote	NOUN
fis-125	54	21	that	that	SCONJ
fis-125	54	22	the	the	DET
fis-125	54	23	strain	strain	NOUN
fis-125	54	24	does	do	AUX
fis-125	54	25	not	not	PART
fis-125	54	26	decrease	decrease	VERB
fis-125	54	27	when	when	SCONJ
fis-125	54	28	the	the	DET
fis-125	54	29	damage	damage	NOUN
fis-125	54	30	grows	grow	VERB
fis-125	54	31	;	;	PUNCT
fis-125	54	32	7	7	X
fis-125	54	33	.	.	X
fis-125	55	1	the	the	DET
fis-125	55	2	condition	condition	NOUN
fis-125	55	3	of	of	ADP
fis-125	55	4	monotonicity	monotonicity	NOUN
fis-125	55	5	of	of	ADP
fis-125	55	6	/	/	PUNCT
fis-125	55	7	w	w	PROPN
fis-125	55	8	s	s	VERB
fis-125	55	9	is	be	AUX
fis-125	55	10	essential	essential	ADJ
fis-125	55	11	;	;	PUNCT
fis-125	55	12	it	it	PRON
fis-125	55	13	denotes	denote	VERB
fis-125	55	14	the	the	DET
fis-125	55	15	softening	soften	VERB
fis-125	55	16	property	property	NOUN
fis-125	55	17	,	,	PUNCT
fis-125	55	18	i.e.	i.e.	X
fis-125	55	19	the	the	DET
fis-125	55	20	decreasing	decreasing	NOUN
fis-125	55	21	of	of	ADP
fis-125	55	22	the	the	DET
fis-125	55	23	stress	stress	NOUN
fis-125	55	24	when	when	SCONJ
fis-125	55	25	the	the	DET
fis-125	55	26	damage	damage	NOUN
fis-125	55	27	grows	grow	VERB
fis-125	55	28	.	.	PUNCT
fis-125	56	1	8	8	X
fis-125	56	2	.	.	PUNCT
fis-125	57	1	the	the	DET
fis-125	57	2	condition	condition	NOUN
fis-125	57	3	1	1	NUM
fis-125	57	4	(	(	PUNCT
fis-125	57	5	)	)	PUNCT
fis-125	57	6	/	/	SYM
fis-125	57	7	(	(	PUNCT
fis-125	57	8	)	)	PUNCT
fis-125	57	9	=	=	SYM
fis-125	57	10	0lim	0lim	NUM
fis-125	57	11			NOUN
fis-125	57	12			PUNCT
fis-125	57	13			ADJ
fis-125	57	14	w	w	PROPN
fis-125	57	15	s	s	VERB
fis-125	57	16	ensures	ensure	VERB
fis-125	57	17	that	that	SCONJ
fis-125	57	18	the	the	DET
fis-125	57	19	material	material	NOUN
fis-125	57	20	can	can	AUX
fis-125	57	21	not	not	PART
fis-125	57	22	sustain	sustain	VERB
fis-125	57	23	any	any	DET
fis-125	57	24	stress	stress	NOUN
fis-125	57	25	when	when	SCONJ
fis-125	57	26	its	its	PRON
fis-125	57	27	damage	damage	NOUN
fis-125	57	28	state	state	NOUN
fis-125	57	29	is	be	AUX
fis-125	57	30	1	1	NUM
fis-125	57	31	.	.	PUNCT
fis-125	57	32	example	example	NOUN
fis-125	57	33	1	1	NUM
fis-125	57	34	a	a	DET
fis-125	57	35	family	family	NOUN
fis-125	57	36	of	of	ADP
fis-125	57	37	models	model	NOUN
fis-125	57	38	which	which	PRON
fis-125	57	39	satisfy	satisfy	VERB
fis-125	57	40	the	the	DET
fis-125	57	41	assumptions	assumption	NOUN
fis-125	57	42	above	above	ADV
fis-125	57	43	is	be	AUX
fis-125	57	44	the	the	DET
fis-125	57	45	following	follow	VERB
fis-125	57	46	one	one	NUM
fis-125	57	47	,	,	PUNCT
fis-125	57	48	when	when	SCONJ
fis-125	57	49	>	>	X
fis-125	57	50	>	>	X
fis-125	57	51	0q	0q	X
fis-125	58	1	p	p	X
fis-125	58	2	:	:	PUNCT
fis-125	58	3	2	2	NUM
fis-125	58	4	0	0	NUM
fis-125	58	5	0	0	NUM
fis-125	58	6	(	(	PUNCT
fis-125	58	7	)	)	PUNCT
fis-125	58	8	=	=	SYM
fis-125	58	9	(	(	PUNCT
fis-125	58	10	1	1	NUM
fis-125	58	11	)	)	PUNCT
fis-125	58	12	,	,	PUNCT
fis-125	58	13	(	(	PUNCT
fis-125	58	14	)	)	PUNCT
fis-125	58	15	=	=	SYM
fis-125	58	16	(	(	PUNCT
fis-125	58	17	1	1	NUM
fis-125	58	18	(	(	PUNCT
fis-125	58	19	1	1	NUM
fis-125	58	20	)	)	PUNCT
fis-125	58	21	)	)	PUNCT
fis-125	58	22	2	2	NUM
fis-125	58	23			NOUN
fis-125	58	24			NOUN
fis-125	58	25			X
fis-125	58	26			NOUN
fis-125	58	27			CCONJ
fis-125	58	28			PROPN
fis-125	58	29	q	q	VERB
fis-125	58	30	pcq	pcq	X
fis-125	58	31	e	e	X
fis-125	58	32	e	e	PROPN
fis-125	58	33	w	w	PROPN
fis-125	58	34	pe	pe	PROPN
fis-125	58	35	(	(	PUNCT
fis-125	58	36	3	3	X
fis-125	58	37	)	)	PUNCT
fis-125	58	38	it	it	PRON
fis-125	58	39	contains	contain	VERB
fis-125	58	40	five	five	NUM
fis-125	58	41	material	material	NOUN
fis-125	58	42	parameters	parameter	NOUN
fis-125	58	43	:	:	PUNCT
fis-125	58	44	the	the	DET
fis-125	58	45	sound	sound	ADJ
fis-125	58	46	young	young	ADJ
fis-125	58	47	modulus	modulus	NOUN
fis-125	58	48	0	0	PUNCT
fis-125	58	49	>	>	X
fis-125	58	50	0e	0e	NOUN
fis-125	58	51	,	,	PUNCT
fis-125	58	52	the	the	DET
fis-125	58	53	dimensionless	dimensionless	NOUN
fis-125	58	54	parameters	parameter	NOUN
fis-125	58	55	p	p	NOUN
fis-125	58	56	and	and	CCONJ
fis-125	58	57	q	q	NOUN
fis-125	58	58	,	,	PUNCT
fis-125	58	59	the	the	DET
fis-125	58	60	critical	critical	ADJ
fis-125	58	61	stress	stress	NOUN
fis-125	58	62	>	>	X
fis-125	58	63	0	0	NUM
fis-125	58	64	c	c	NOUN
fis-125	58	65	and	and	CCONJ
fis-125	58	66	the	the	DET
fis-125	58	67	internal	internal	ADJ
fis-125	58	68	length	length	NOUN
fis-125	58	69	>	>	X
fis-125	58	70	0	0	NUM
fis-125	59	1	whose	whose	DET
fis-125	59	2	physical	physical	ADJ
fis-125	59	3	interpretation	interpretation	NOUN
fis-125	59	4	will	will	AUX
fis-125	59	5	be	be	AUX
fis-125	59	6	given	give	VERB
fis-125	59	7	in	in	ADP
fis-125	59	8	section	section	NOUN
fis-125	59	9	the	the	DET
fis-125	59	10	homogeneous	homogeneous	ADJ
fis-125	59	11	solution	solution	NOUN
fis-125	59	12	and	and	CCONJ
fis-125	59	13	the	the	DET
fis-125	59	14	issue	issue	NOUN
fis-125	59	15	of	of	ADP
fis-125	59	16	uniqueness	uniqueness	NOUN
fis-125	59	17	.	.	PUNCT
fis-125	60	1	the	the	DET
fis-125	60	2	condition	condition	NOUN
fis-125	60	3	>	>	X
fis-125	60	4	0q	0q	PROPN
fis-125	60	5	is	be	AUX
fis-125	60	6	necessary	necessary	ADJ
fis-125	60	7	and	and	CCONJ
fis-125	60	8	sufficient	sufficient	ADJ
fis-125	60	9	in	in	ADP
fis-125	60	10	order	order	NOUN
fis-125	60	11	that	that	PRON
fis-125	60	12	(	(	PUNCT
fis-125	60	13	)	)	PUNCT
fis-125	60	14			NOUN
fis-125	60	15			NUM
fis-125	60	16	e	e	AUX
fis-125	60	17	be	be	AUX
fis-125	60	18	decreasing	decrease	VERB
fis-125	60	19	from	from	ADP
fis-125	60	20	0e	0e	NOUN
fis-125	60	21	to	to	ADP
fis-125	60	22	0	0	NUM
fis-125	60	23	while	while	SCONJ
fis-125	60	24	the	the	DET
fis-125	60	25	condition	condition	NOUN
fis-125	60	26	>	>	X
fis-125	60	27	0p	0p	NUM
fis-125	60	28	is	be	AUX
fis-125	60	29	necessary	necessary	ADJ
fis-125	60	30	and	and	CCONJ
fis-125	60	31	sufficient	sufficient	ADJ
fis-125	60	32	in	in	ADP
fis-125	60	33	order	order	NOUN
fis-125	60	34	that	that	PRON
fis-125	60	35	(	(	PUNCT
fis-125	60	36	)	)	PUNCT
fis-125	60	37			NOUN
fis-125	60	38			NUM
fis-125	60	39	w	w	AUX
fis-125	60	40	be	be	AUX
fis-125	60	41	increasing	increase	VERB
fis-125	60	42	from	from	ADP
fis-125	60	43	0	0	NUM
fis-125	60	44	to	to	ADP
fis-125	60	45	a	a	DET
fis-125	60	46	finite	finite	ADJ
fis-125	60	47	value	value	NOUN
fis-125	60	48	.	.	PUNCT
fis-125	61	1	if	if	SCONJ
fis-125	61	2	>	>	X
fis-125	61	3	0p	0p	NUM
fis-125	61	4	and	and	CCONJ
fis-125	61	5	>	>	X
fis-125	61	6	0q	0q	NOUN
fis-125	61	7	,	,	PUNCT
fis-125	61	8	then	then	ADV
fis-125	61	9	the	the	DET
fis-125	61	10	condition	condition	NOUN
fis-125	61	11	>	>	PUNCT
fis-125	61	12	q	q	PROPN
fis-125	61	13	p	p	NOUN
fis-125	61	14	is	be	AUX
fis-125	61	15	necessary	necessary	ADJ
fis-125	61	16	and	and	CCONJ
fis-125	61	17	sufficient	sufficient	ADJ
fis-125	61	18	in	in	ADP
fis-125	61	19	order	order	NOUN
fis-125	61	20	that	that	PRON
fis-125	61	21	(	(	PUNCT
fis-125	61	22	)	)	PUNCT
fis-125	61	23	/	/	SYM
fis-125	61	24	(	(	PUNCT
fis-125	61	25	)	)	PUNCT
fis-125	61	26			X
fis-125	61	27			X
fis-125	61	28			X
fis-125	61	29			PROPN
fis-125	61	30	w	w	NOUN
fis-125	61	31	e	e	AUX
fis-125	61	32	be	be	AUX
fis-125	61	33	increasing	increase	VERB
fis-125	61	34	to	to	PART
fis-125	61	35			VERB
fis-125	61	36	while	while	SCONJ
fis-125	61	37	(	(	PUNCT
fis-125	61	38	)	)	PUNCT
fis-125	61	39	/	/	SYM
fis-125	61	40	(	(	PUNCT
fis-125	61	41	)	)	PUNCT
fis-125	61	42			X
fis-125	61	43			X
fis-125	61	44			PUNCT
fis-125	61	45			PROPN
fis-125	61	46	w	w	NOUN
fis-125	61	47	s	s	PROPN
fis-125	61	48	is	be	AUX
fis-125	61	49	automatically	automatically	ADV
fis-125	61	50	decreasing	decrease	VERB
fis-125	61	51	to	to	ADP
fis-125	61	52	0	0	NUM
fis-125	61	53	.	.	PUNCT
fis-125	62	1	example	example	NOUN
fis-125	62	2	2	2	NUM
fis-125	62	3	another	another	DET
fis-125	62	4	interesting	interesting	ADJ
fis-125	62	5	family	family	NOUN
fis-125	62	6	of	of	ADP
fis-125	62	7	models	model	NOUN
fis-125	62	8	which	which	PRON
fis-125	62	9	satisfy	satisfy	VERB
fis-125	62	10	the	the	DET
fis-125	62	11	assumptions	assumption	NOUN
fis-125	62	12	above	above	ADV
fis-125	62	13	is	be	AUX
fis-125	62	14	the	the	DET
fis-125	62	15	following	follow	VERB
fis-125	62	16	one	one	NUM
fis-125	62	17	2	2	NUM
fis-125	62	18	0	0	NUM
fis-125	62	19	0	0	NUM
fis-125	62	20	0	0	NUM
fis-125	63	1	(	(	PUNCT
fis-125	63	2	1	1	NUM
fis-125	63	3	)	)	PUNCT
fis-125	63	4	(	(	PUNCT
fis-125	63	5	)	)	PUNCT
fis-125	63	6	=	=	SYM
fis-125	63	7	,	,	PUNCT
fis-125	63	8	(	(	PUNCT
fis-125	63	9	)	)	PUNCT
fis-125	63	10	=	=	SYM
fis-125	63	11	(	(	PUNCT
fis-125	63	12	)	)	PUNCT
fis-125	63	13	(	(	PUNCT
fis-125	63	14	1	1	X
fis-125	63	15	)	)	SYM
fis-125	63	16	2	2	NUM
fis-125	63	17			NOUN
fis-125	63	18			NOUN
fis-125	63	19			X
fis-125	63	20			X
fis-125	63	21			PROPN
fis-125	63	22			VERB
fis-125	63	23			ADV
fis-125	63	24	q	q	X
fis-125	63	25	p	p	X
fis-125	63	26	e	e	X
fis-125	63	27	e	e	X
fis-125	63	28	w	w	PROPN
fis-125	63	29	p	p	X
fis-125	63	30	q	q	X
fis-125	63	31	e	e	NOUN
fis-125	63	32	(	(	PUNCT
fis-125	63	33	4	4	NUM
fis-125	63	34	)	)	PUNCT
fis-125	63	35	where	where	SCONJ
fis-125	63	36	1p	1p	NUM
fis-125	63	37	and	and	CCONJ
fis-125	63	38	1q	1q	NUM
fis-125	63	39	are	be	AUX
fis-125	63	40	two	two	NUM
fis-125	63	41	constants	constant	NOUN
fis-125	63	42	playing	play	VERB
fis-125	63	43	the	the	DET
fis-125	63	44	role	role	NOUN
fis-125	63	45	of	of	ADP
fis-125	63	46	constitutive	constitutive	ADJ
fis-125	63	47	parameters	parameter	NOUN
fis-125	63	48	and	and	CCONJ
fis-125	63	49	0	0	NUM
fis-125	63	50	represents	represent	VERB
fis-125	63	51	the	the	DET
fis-125	63	52	critical	critical	ADJ
fis-125	63	53	stress	stress	NOUN
fis-125	63	54	of	of	ADP
fis-125	63	55	the	the	DET
fis-125	63	56	material	material	NOUN
fis-125	63	57	.	.	PUNCT
fis-125	64	1	the	the	DET
fis-125	64	2	damage	damage	NOUN
fis-125	64	3	problem	problem	NOUN
fis-125	64	4	of	of	ADP
fis-125	64	5	a	a	DET
fis-125	64	6	bar	bar	NOUN
fis-125	64	7	under	under	ADP
fis-125	64	8	traction	traction	NOUN
fis-125	64	9	let	let	VERB
fis-125	64	10	us	we	PRON
fis-125	64	11	consider	consider	VERB
fis-125	64	12	a	a	DET
fis-125	64	13	homogeneous	homogeneous	ADJ
fis-125	64	14	bar	bar	NOUN
fis-125	64	15	whose	whose	DET
fis-125	64	16	natural	natural	ADJ
fis-125	64	17	reference	reference	NOUN
fis-125	64	18	configuration	configuration	NOUN
fis-125	64	19	is	be	AUX
fis-125	64	20	the	the	DET
fis-125	64	21	interval	interval	NOUN
fis-125	64	22	(	(	PUNCT
fis-125	64	23	0	0	NUM
fis-125	64	24	,	,	PUNCT
fis-125	64	25	)	)	PUNCT
fis-125	64	26	l	l	NOUN
fis-125	64	27	and	and	CCONJ
fis-125	64	28	whose	whose	DET
fis-125	64	29	cross	cross	ADJ
fis-125	64	30	-	-	ADJ
fis-125	64	31	sectional	sectional	ADJ
fis-125	64	32	area	area	NOUN
fis-125	64	33	is	be	AUX
fis-125	64	34	s	s	PRON
fis-125	64	35	.	.	PUNCT
fis-125	65	1	the	the	DET
fis-125	65	2	bar	bar	NOUN
fis-125	65	3	is	be	AUX
fis-125	65	4	made	make	VERB
fis-125	65	5	of	of	ADP
fis-125	65	6	the	the	DET
fis-125	65	7	nonlocal	nonlocal	ADJ
fis-125	65	8	damaging	damaging	ADJ
fis-125	65	9	material	material	NOUN
fis-125	65	10	characterized	characterize	VERB
fis-125	65	11	by	by	ADP
fis-125	65	12	the	the	DET
fis-125	65	13	state	state	NOUN
fis-125	65	14	function	function	NOUN
fis-125	65	15	w	w	PUNCT
fis-125	65	16	given	give	VERB
fis-125	65	17	by	by	ADP
fis-125	65	18	(	(	PUNCT
fis-125	65	19	1	1	NUM
fis-125	65	20	)	)	PUNCT
fis-125	65	21	.	.	PUNCT
fis-125	66	1	the	the	DET
fis-125	66	2	end	end	NOUN
fis-125	66	3	=	=	SYM
fis-125	66	4	0x	0x	NOUN
fis-125	66	5	of	of	ADP
fis-125	66	6	the	the	DET
fis-125	66	7	bar	bar	NOUN
fis-125	66	8	is	be	AUX
fis-125	66	9	fixed	fix	VERB
fis-125	66	10	,	,	PUNCT
fis-125	66	11	while	while	SCONJ
fis-125	66	12	the	the	DET
fis-125	66	13	displacement	displacement	NOUN
fis-125	66	14	of	of	ADP
fis-125	66	15	the	the	DET
fis-125	66	16	end	end	NOUN
fis-125	66	17	=	=	NOUN
fis-125	66	18	x	x	X
fis-125	66	19	l	l	NOUN
fis-125	66	20	is	be	AUX
fis-125	66	21	prescribed	prescribe	VERB
fis-125	66	22	to	to	ADP
fis-125	66	23	a	a	DET
fis-125	66	24	non	non	ADJ
fis-125	66	25	negative	negative	ADJ
fis-125	66	26	value	value	NOUN
fis-125	66	27	tu	tu	PROPN
fis-125	66	28	(	(	PUNCT
fis-125	66	29	0	0	NUM
fis-125	66	30	)	)	PUNCT
fis-125	67	1	=	=	SYM
fis-125	67	2	0	0	NUM
fis-125	67	3	,	,	PUNCT
fis-125	67	4	(	(	PUNCT
fis-125	67	5	)	)	PUNCT
fis-125	67	6	=	=	SYM
fis-125	67	7	0	0	NUM
fis-125	67	8	,	,	PUNCT
fis-125	67	9	0	0	NUM
fis-125	67	10	t	t	PROPN
fis-125	67	11	t	t	X
fis-125	67	12	tu	tu	X
fis-125	67	13	u	u	PROPN
fis-125	67	14	l	l	PROPN
fis-125	67	15	u	u	NOUN
fis-125	67	16	t	t	X
fis-125	67	17	(	(	PUNCT
fis-125	67	18	5	5	NUM
fis-125	67	19	)	)	PUNCT
fis-125	67	20	where	where	SCONJ
fis-125	67	21	,	,	PUNCT
fis-125	67	22	in	in	ADP
fis-125	67	23	this	this	DET
fis-125	67	24	quasi	quasi	ADJ
fis-125	67	25	-	-	ADJ
fis-125	67	26	static	static	ADJ
fis-125	67	27	setting	setting	NOUN
fis-125	67	28	,	,	PUNCT
fis-125	67	29	t	t	PROPN
fis-125	67	30	denotes	denote	VERB
fis-125	67	31	the	the	DET
fis-125	67	32	loading	loading	NOUN
fis-125	67	33	parameter	parameter	NOUN
fis-125	67	34	or	or	CCONJ
fis-125	67	35	shortly	shortly	ADV
fis-125	67	36	the	the	DET
fis-125	67	37	`	`	PUNCT
fis-125	67	38	`	`	PUNCT
fis-125	67	39	time	time	NOUN
fis-125	67	40	"	"	PUNCT
fis-125	67	41	,	,	PUNCT
fis-125	67	42	tu	tu	PROPN
fis-125	67	43	is	be	AUX
fis-125	67	44	the	the	DET
fis-125	67	45	displacement	displacement	ADJ
fis-125	67	46	field	field	NOUN
fis-125	67	47	of	of	ADP
fis-125	67	48	the	the	DET
fis-125	67	49	bar	bar	NOUN
fis-125	67	50	at	at	ADP
fis-125	67	51	time	time	NOUN
fis-125	67	52	t	t	PROPN
fis-125	67	53	.	.	PUNCT
fis-125	68	1	the	the	DET
fis-125	68	2	evolution	evolution	NOUN
fis-125	68	3	of	of	ADP
fis-125	68	4	the	the	DET
fis-125	68	5	displacement	displacement	NOUN
fis-125	68	6	and	and	CCONJ
fis-125	68	7	of	of	ADP
fis-125	68	8	the	the	DET
fis-125	68	9	damage	damage	NOUN
fis-125	68	10	in	in	ADP
fis-125	68	11	the	the	DET
fis-125	68	12	bar	bar	NOUN
fis-125	68	13	is	be	AUX
fis-125	68	14	obtained	obtain	VERB
fis-125	68	15	via	via	ADP
fis-125	68	16	a	a	DET
fis-125	68	17	variational	variational	ADJ
fis-125	68	18	formulation	formulation	NOUN
fis-125	68	19	,	,	PUNCT
fis-125	68	20	the	the	DET
fis-125	68	21	main	main	ADJ
fis-125	68	22	ingredients	ingredient	NOUN
fis-125	68	23	of	of	ADP
fis-125	68	24	which	which	PRON
fis-125	68	25	are	be	AUX
fis-125	68	26	recalled	recall	VERB
fis-125	68	27	hereafter	hereafter	ADV
fis-125	68	28	,	,	PUNCT
fis-125	68	29	see	see	VERB
fis-125	68	30	[	[	X
fis-125	68	31	2	2	X
fis-125	68	32	]	]	PUNCT
fis-125	68	33	for	for	ADP
fis-125	68	34	details	detail	NOUN
fis-125	68	35	.	.	PUNCT
fis-125	69	1	let	let	VERB
fis-125	69	2	ut	ut	PROPN
fis-125	69	3			PROPN
fis-125	69	4	and	and	CCONJ
fis-125	69	5			NOUN
fis-125	69	6	be	be	AUX
fis-125	69	7	respectively	respectively	ADV
fis-125	69	8	the	the	DET
fis-125	69	9	kinematically	kinematically	ADV
fis-125	69	10	admissible	admissible	ADJ
fis-125	69	11	displacement	displacement	ADJ
fis-125	69	12	fields	field	NOUN
fis-125	69	13	at	at	ADP
fis-125	69	14	time	time	NOUN
fis-125	69	15	t	t	PROPN
fis-125	69	16	and	and	CCONJ
fis-125	69	17	the	the	DET
fis-125	69	18	convex	convex	ADJ
fis-125	69	19	cone	cone	NOUN
fis-125	69	20	of	of	ADP
fis-125	69	21	admissible	admissible	ADJ
fis-125	69	22	damage	damage	NOUN
fis-125	69	23	fields	field	NOUN
fis-125	69	24	:	:	PUNCT
fis-125	69	25			PROPN
fis-125	69	26			PROPN
fis-125	69	27			PROPN
fis-125	69	28			PROPN
fis-125	69	29			PROPN
fis-125	69	30	0=	0=	NOUN
fis-125	69	31	:	:	PUNCT
fis-125	69	32	(	(	PUNCT
fis-125	69	33	0	0	X
fis-125	69	34	)	)	PUNCT
fis-125	69	35	=	=	SYM
fis-125	69	36	0	0	NUM
fis-125	69	37	,	,	PUNCT
fis-125	69	38	(	(	PUNCT
fis-125	69	39	)	)	PUNCT
fis-125	70	1	=	=	SYM
fis-125	70	2	,	,	PUNCT
fis-125	70	3	=	=	NOUN
fis-125	70	4	:	:	PUNCT
fis-125	70	5	(	(	PUNCT
fis-125	70	6	0	0	X
fis-125	70	7	)	)	PUNCT
fis-125	70	8	=	=	SYM
fis-125	70	9	0	0	NUM
fis-125	70	10	,	,	PUNCT
fis-125	70	11	(	(	PUNCT
fis-125	70	12	)	)	PUNCT
fis-125	70	13	=	=	SYM
fis-125	70	14	0	0	NUM
fis-125	70	15	,	,	PUNCT
fis-125	70	16	=	=	PRON
fis-125	70	17	:	:	PUNCT
fis-125	70	18	(	(	PUNCT
fis-125	70	19	)	)	PUNCT
fis-125	70	20	0,	0,	PROPN
fis-125	70	21			PROPN
fis-125	70	22			NUM
fis-125	70	23	u	u	NOUN
fis-125	70	24	tt	tt	PROPN
fis-125	70	25	v	v	ADP
fis-125	70	26	v	v	ADP
fis-125	70	27	v	v	NOUN
fis-125	70	28	l	l	NOUN
fis-125	70	29	u	u	NOUN
fis-125	70	30	v	v	ADP
fis-125	70	31	v	v	ADP
fis-125	70	32	v	v	NOUN
fis-125	70	33	l	l	NOUN
fis-125	70	34	x	x	X
fis-125	70	35	x	x	PROPN
fis-125	70	36			PROPN
fis-125	70	37			X
fis-125	70	38	(	(	PUNCT
fis-125	70	39	6	6	NUM
fis-125	70	40	)	)	PUNCT
fis-125	70	41	where	where	SCONJ
fis-125	70	42	0	0	PRON
fis-125	70	43	is	be	AUX
fis-125	70	44	the	the	DET
fis-125	70	45	linear	linear	ADJ
fis-125	70	46	space	space	NOUN
fis-125	70	47	associated	associate	VERB
fis-125	70	48	with	with	ADP
fis-125	70	49	ut	ut	PROPN
fis-125	70	50			PROPN
fis-125	70	51	.	.	PUNCT
fis-125	71	1	the	the	DET
fis-125	71	2	precise	precise	ADJ
fis-125	71	3	regularity	regularity	NOUN
fis-125	71	4	of	of	ADP
fis-125	71	5	these	these	DET
fis-125	71	6	fields	field	NOUN
fis-125	71	7	is	be	AUX
fis-125	71	8	not	not	PART
fis-125	71	9	specified	specify	VERB
fis-125	71	10	here	here	ADV
fis-125	71	11	,	,	PUNCT
fis-125	71	12	we	we	PRON
fis-125	71	13	will	will	AUX
fis-125	71	14	simply	simply	ADV
fis-125	71	15	assume	assume	VERB
fis-125	71	16	that	that	SCONJ
fis-125	71	17	there	there	PRON
fis-125	71	18	are	be	VERB
fis-125	71	19	at	at	ADP
fis-125	71	20	least	least	ADJ
fis-125	71	21	continuous	continuous	ADJ
fis-125	71	22	and	and	CCONJ
fis-125	71	23	differentiable	differentiable	ADJ
fis-125	71	24	everywhere	everywhere	ADV
fis-125	71	25	.	.	PUNCT
fis-125	72	1	then	then	ADV
fis-125	72	2	with	with	ADP
fis-125	72	3	any	any	DET
fis-125	72	4	admissible	admissible	ADJ
fis-125	72	5	pair	pair	NOUN
fis-125	72	6	(	(	PUNCT
fis-125	72	7	,	,	PUNCT
fis-125	72	8	)	)	PUNCT
fis-125	72	9	u	u	PUNCT
fis-125	72	10	at	at	ADP
fis-125	72	11	time	time	NOUN
fis-125	72	12	t	t	PROPN
fis-125	72	13	,	,	PUNCT
fis-125	72	14	we	we	PRON
fis-125	72	15	associate	associate	VERB
fis-125	72	16	the	the	DET
fis-125	72	17	total	total	ADJ
fis-125	72	18	energy	energy	NOUN
fis-125	72	19	of	of	ADP
fis-125	72	20	the	the	DET
fis-125	72	21	bar	bar	NOUN
fis-125	72	22	2	2	NUM
fis-125	72	23	2	2	NUM
fis-125	72	24	2	2	NUM
fis-125	72	25	00	00	NUM
fis-125	72	26	0	0	NUM
fis-125	72	27	1	1	NUM
fis-125	72	28	1	1	NUM
fis-125	72	29	(	(	PUNCT
fis-125	72	30	,	,	PUNCT
fis-125	72	31	)	)	PUNCT
fis-125	72	32	:	:	PUNCT
fis-125	73	1	=	=	SYM
fis-125	73	2	(	(	PUNCT
fis-125	73	3	(	(	PUNCT
fis-125	73	4	)	)	PUNCT
fis-125	73	5	,	,	PUNCT
fis-125	73	6	(	(	PUNCT
fis-125	73	7	)	)	PUNCT
fis-125	73	8	,	,	PUNCT
fis-125	73	9	(	(	PUNCT
fis-125	73	10	)	)	PUNCT
fis-125	73	11	)	)	PUNCT
fis-125	74	1	=	=	PUNCT
fis-125	74	2	(	(	PUNCT
fis-125	74	3	(	(	PUNCT
fis-125	74	4	)	)	PUNCT
fis-125	74	5	)	)	PUNCT
fis-125	74	6	(	(	PUNCT
fis-125	74	7	)	)	PUNCT
fis-125	74	8	(	(	PUNCT
fis-125	74	9	(	(	PUNCT
fis-125	74	10	)	)	PUNCT
fis-125	74	11	)	)	PUNCT
fis-125	74	12	(	(	PUNCT
fis-125	74	13	)	)	PUNCT
fis-125	74	14	2	2	NUM
fis-125	74	15	2	2	NUM
fis-125	74	16			NOUN
fis-125	74	17			X
fis-125	74	18			X
fis-125	74	19			X
fis-125	74	20			X
fis-125	74	21			NUM
fis-125	74	22			NOUN
fis-125	74	23			ADV
fis-125	74	24			ADJ
fis-125	74	25			PUNCT
fis-125	74	26			PROPN
fis-125	74	27			PROPN
fis-125	74	28			PROPN
fis-125	74	29			PROPN
fis-125	74	30			PUNCT
fis-125	74	31			X
fis-125	74	32	l	l	NOUN
fis-125	74	33	l	l	X
fis-125	74	34	u	u	NOUN
fis-125	74	35	w	w	PROPN
fis-125	74	36	u	u	NOUN
fis-125	74	37	x	x	X
fis-125	74	38	x	x	SYM
fis-125	74	39	x	x	SYM
fis-125	74	40	sdx	sdx	NOUN
fis-125	74	41	e	e	NOUN
fis-125	74	42	x	x	PROPN
fis-125	74	43	su	su	PROPN
fis-125	74	44	x	x	X
fis-125	74	45	w	w	NOUN
fis-125	74	46	x	x	X
fis-125	74	47	s	s	ADP
fis-125	74	48	e	e	X
fis-125	74	49	s	s	NOUN
fis-125	74	50	x	x	X
fis-125	74	51	dx	dx	NOUN
fis-125	74	52	(	(	PUNCT
fis-125	74	53	7	7	NUM
fis-125	74	54	)	)	PUNCT
fis-125	74	55	for	for	ADP
fis-125	74	56	a	a	DET
fis-125	74	57	given	give	VERB
fis-125	74	58	initial	initial	ADJ
fis-125	74	59	damage	damage	NOUN
fis-125	74	60	field	field	NOUN
fis-125	74	61	0	0	PROPN
fis-125	74	62	,	,	PUNCT
fis-125	74	63	the	the	DET
fis-125	74	64	damage	damage	NOUN
fis-125	74	65	evolution	evolution	NOUN
fis-125	74	66	problem	problem	NOUN
fis-125	74	67	reads	read	VERB
fis-125	74	68	as	as	ADP
fis-125	74	69	:	:	PUNCT
fis-125	74	70	for	for	ADP
fis-125	74	71	each	each	PRON
fis-125	74	72	>	>	X
fis-125	74	73	0	0	NUM
fis-125	74	74	t	t	PRON
fis-125	74	75	find	find	VERB
fis-125	74	76	(	(	PUNCT
fis-125	74	77	,	,	PUNCT
fis-125	74	78	)	)	PUNCT
fis-125	74	79	t	t	PROPN
fis-125	74	80	tu	tu	PROPN
fis-125	74	81	in	in	ADP
fis-125	74	82	ut	ut	PROPN
fis-125	74	83			PRON
fis-125	74	84			NOUN
fis-125	74	85	such	such	ADJ
fis-125	74	86	that	that	SCONJ
fis-125	74	87	for	for	ADP
fis-125	74	88	all	all	PRON
fis-125	74	89	(	(	PUNCT
fis-125	74	90	)	)	PUNCT
fis-125	74	91	(	(	PUNCT
fis-125	74	92	,	,	PUNCT
fis-125	74	93	)	)	PUNCT
fis-125	74	94	,	,	PUNCT
fis-125	74	95	'	'	PUNCT
fis-125	74	96	(	(	PUNCT
fis-125	74	97	,	,	PUNCT
fis-125	74	98	)	)	PUNCT
fis-125	74	99	(	(	PUNCT
fis-125	74	100	,	,	PUNCT
fis-125	74	101	)	)	PUNCT
fis-125	74	102	0	0	NOUN
fis-125	74	103			X
fis-125	74	104			PROPN
fis-125	74	105			NUM
fis-125	74	106			PROPN
fis-125	74	107			PROPN
fis-125	74	108			PROPN
fis-125	74	109			NOUN
fis-125	74	110	t	t	PROPN
fis-125	74	111	t	t	PROPN
fis-125	74	112	t	t	X
fis-125	74	113	tu	tu	PROPN
fis-125	74	114	t	t	PROPN
fis-125	74	115	v	v	NUM
fis-125	74	116	u	u	PROPN
fis-125	74	117	v	v	ADP
fis-125	74	118	u	u	NOUN
fis-125	74	119			NOUN
fis-125	74	120			NOUN
fis-125	74	121	(	(	PUNCT
fis-125	74	122	8)	8)	NUM
fis-125	74	123	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	74	124	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	74	125	k.	k.	PROPN
fis-125	74	126	pham	pham	PROPN
fis-125	74	127	et	et	PROPN
fis-125	74	128	alii	alii	PROPN
fis-125	74	129	,	,	PUNCT
fis-125	74	130	frattura	frattura	PROPN
fis-125	74	131	ed	ed	PROPN
fis-125	74	132	integrità	integrità	PROPN
fis-125	74	133	strutturale	strutturale	PROPN
fis-125	74	134	,	,	PUNCT
fis-125	74	135	19	19	NUM
fis-125	74	136	(	(	PUNCT
fis-125	74	137	2012	2012	NUM
fis-125	74	138	)	)	PUNCT
fis-125	74	139	5	5	NUM
fis-125	74	140	-	-	SYM
fis-125	74	141	19	19	NUM
fis-125	74	142	;	;	PUNCT
fis-125	74	143	doi	doi	NOUN
fis-125	74	144	:	:	PUNCT
fis-125	74	145	10.3221	10.3221	NUM
fis-125	74	146	/	/	SYM
fis-125	74	147	igf	igf	PROPN
fis-125	74	148	-	-	PUNCT
fis-125	74	149	esis.19.01	esis.19.01	ADJ
fis-125	74	150	8	8	NUM
fis-125	74	151	with	with	ADP
fis-125	74	152	the	the	DET
fis-125	74	153	initial	initial	ADJ
fis-125	74	154	condition	condition	NOUN
fis-125	74	155	0	0	NUM
fis-125	74	156	0	0	NUM
fis-125	74	157	(	(	PUNCT
fis-125	74	158	)	)	PUNCT
fis-125	74	159	=	=	SYM
fis-125	74	160	(	(	PUNCT
fis-125	74	161	)	)	PUNCT
fis-125	74	162			X
fis-125	74	163	x	x	X
fis-125	74	164	x	x	X
fis-125	74	165	.	.	PUNCT
fis-125	75	1	in	in	ADP
fis-125	75	2	(	(	PUNCT
fis-125	75	3	8)	8)	NUM
fis-125	75	4	,	,	PUNCT
fis-125	75	5	'	'	PUNCT
fis-125	75	6	(	(	PUNCT
fis-125	75	7	,	,	PUNCT
fis-125	75	8	)	)	PUNCT
fis-125	75	9	(	(	PUNCT
fis-125	75	10	,	,	PUNCT
fis-125	75	11	)	)	PUNCT
fis-125	75	12			X
fis-125	75	13	u	u	ADV
fis-125	75	14	v	v	PROPN
fis-125	75	15	denotes	denote	VERB
fis-125	75	16	the	the	DET
fis-125	75	17	derivative	derivative	NOUN
fis-125	75	18	of	of	ADP
fis-125	75	19			PROPN
fis-125	75	20	at	at	ADP
fis-125	75	21	(	(	PUNCT
fis-125	75	22	,	,	PUNCT
fis-125	75	23	)	)	PUNCT
fis-125	75	24	u	u	PRON
fis-125	75	25	in	in	ADP
fis-125	75	26	the	the	DET
fis-125	75	27	direction	direction	NOUN
fis-125	75	28	(	(	PUNCT
fis-125	75	29	,	,	PUNCT
fis-125	75	30	)	)	PUNCT
fis-125	75	31	v	v	NOUN
fis-125	75	32	and	and	CCONJ
fis-125	75	33	is	be	AUX
fis-125	75	34	given	give	VERB
fis-125	75	35	by	by	ADP
fis-125	75	36	2	2	NUM
fis-125	75	37	2	2	NUM
fis-125	75	38	00	00	NUM
fis-125	75	39	1	1	NUM
fis-125	75	40	'	'	NUM
fis-125	75	41	(	(	PUNCT
fis-125	75	42	,	,	PUNCT
fis-125	75	43	)	)	PUNCT
fis-125	75	44	(	(	PUNCT
fis-125	75	45	,	,	PUNCT
fis-125	75	46	)	)	PUNCT
fis-125	75	47	=	=	SYM
fis-125	76	1	(	(	PUNCT
fis-125	76	2	)	)	PUNCT
fis-125	76	3	(	(	PUNCT
fis-125	76	4	)	)	PUNCT
fis-125	76	5	(	(	PUNCT
fis-125	76	6	)	)	PUNCT
fis-125	76	7	2	2	NUM
fis-125	76	8			X
fis-125	76	9			NOUN
fis-125	76	10			NOUN
fis-125	76	11			X
fis-125	76	12			X
fis-125	76	13			PROPN
fis-125	76	14			X
fis-125	76	15			CCONJ
fis-125	76	16			PROPN
fis-125	76	17			NOUN
fis-125	76	18			PROPN
fis-125	76	19			CCONJ
fis-125	77	1			ADV
fis-125	78	1			ADV
fis-125	78	2			ADV
fis-125	78	3			PUNCT
fis-125	78	4			VERB
fis-125	78	5			PROPN
fis-125	78	6			X
fis-125	79	1			PROPN
fis-125	80	1			ADJ
fis-125	80	2			NOUN
fis-125	80	3			NOUN
fis-125	80	4			PUNCT
fis-125	80	5			X
fis-125	80	6	l	l	X
fis-125	80	7	u	u	NOUN
fis-125	80	8	v	v	X
fis-125	80	9	e	e	X
fis-125	80	10	su	su	PROPN
fis-125	80	11	v	v	PROPN
fis-125	80	12	e	e	PROPN
fis-125	80	13	su	su	PROPN
fis-125	80	14	w	w	PROPN
fis-125	80	15	s	s	PROPN
fis-125	80	16	e	e	NOUN
fis-125	80	17	s	s	PART
fis-125	80	18	dx	dx	NOUN
fis-125	80	19	the	the	DET
fis-125	80	20	set	set	NOUN
fis-125	80	21	of	of	ADP
fis-125	80	22	admissible	admissible	ADJ
fis-125	80	23	displacement	displacement	ADJ
fis-125	80	24	rates	rate	NOUN
fis-125	80	25	u	u	PUNCT
fis-125	80	26	can	can	AUX
fis-125	80	27	be	be	AUX
fis-125	80	28	identified	identify	VERB
fis-125	80	29	with	with	ADP
fis-125	80	30	(	(	PUNCT
fis-125	80	31	)	)	PUNCT
fis-125	80	32	u	u	ADP
fis-125	80	33	t	t	NOUN
fis-125	80	34			NOUN
fis-125	80	35	,	,	PUNCT
fis-125	80	36	while	while	SCONJ
fis-125	80	37	the	the	DET
fis-125	80	38	set	set	NOUN
fis-125	80	39	of	of	ADP
fis-125	80	40	admissible	admissible	ADJ
fis-125	80	41	damage	damage	NOUN
fis-125	80	42	rates	rate	NOUN
fis-125	80	43			ADV
fis-125	80	44	can	can	AUX
fis-125	80	45	be	be	AUX
fis-125	80	46	identified	identify	VERB
fis-125	80	47	with	with	ADP
fis-125	80	48			NOUN
fis-125	80	49	because	because	SCONJ
fis-125	80	50	the	the	DET
fis-125	80	51	damage	damage	NOUN
fis-125	80	52	can	can	AUX
fis-125	80	53	only	only	ADV
fis-125	80	54	increase	increase	VERB
fis-125	80	55	for	for	ADP
fis-125	80	56	irreversibility	irreversibility	NOUN
fis-125	80	57	reasons	reason	NOUN
fis-125	80	58	.	.	PUNCT
fis-125	81	1	inserting	insert	VERB
fis-125	81	2	in	in	ADP
fis-125	81	3	(	(	PUNCT
fis-125	81	4	8)	8)	NUM
fis-125	81	5	=	=	NOUN
fis-125	81	6			PROPN
fis-125	81	7	t	t	ADJ
fis-125	81	8	and	and	CCONJ
fis-125	81	9	=	=	SYM
fis-125	81	10	tv	tv	NOUN
fis-125	81	11	u	u	X
fis-125	81	12	w	w	VERB
fis-125	81	13	with	with	ADP
fis-125	81	14	0w	0w	NUM
fis-125	81	15			NOUN
fis-125	81	16	,	,	PUNCT
fis-125	81	17	we	we	PRON
fis-125	81	18	obtain	obtain	VERB
fis-125	81	19	the	the	DET
fis-125	81	20	variational	variational	ADJ
fis-125	81	21	formulation	formulation	NOUN
fis-125	81	22	of	of	ADP
fis-125	81	23	the	the	DET
fis-125	81	24	equilibrium	equilibrium	NOUN
fis-125	81	25	of	of	ADP
fis-125	81	26	the	the	DET
fis-125	81	27	bar	bar	NOUN
fis-125	81	28	,	,	PUNCT
fis-125	81	29	00	00	PUNCT
fis-125	82	1	(	(	PUNCT
fis-125	82	2	(	(	PUNCT
fis-125	82	3	)	)	PUNCT
fis-125	82	4	)	)	PUNCT
fis-125	82	5	(	(	PUNCT
fis-125	82	6	)	)	PUNCT
fis-125	82	7	(	(	PUNCT
fis-125	82	8	)	)	PUNCT
fis-125	83	1	=	=	SYM
fis-125	83	2	0,	0,	PROPN
fis-125	84	1			PROPN
fis-125	84	2			ADV
fis-125	84	3			VERB
fis-125	84	4			PROPN
fis-125	85	1	l	l	PROPN
fis-125	85	2	t	t	NOUN
fis-125	85	3	te	te	PROPN
fis-125	85	4	x	x	SYM
fis-125	85	5	u	u	NOUN
fis-125	85	6	x	x	PROPN
fis-125	85	7	w	w	PROPN
fis-125	85	8	x	x	X
fis-125	85	9	dx	dx	PROPN
fis-125	85	10	w	w	PROPN
fis-125	85	11			PROPN
fis-125	85	12	(	(	PUNCT
fis-125	85	13	9	9	NUM
fis-125	85	14	)	)	PUNCT
fis-125	85	15	from	from	ADP
fis-125	85	16	(	(	PUNCT
fis-125	85	17	9	9	NUM
fis-125	85	18	)	)	PUNCT
fis-125	85	19	,	,	PUNCT
fis-125	85	20	we	we	PRON
fis-125	85	21	deduce	deduce	VERB
fis-125	85	22	that	that	SCONJ
fis-125	85	23	the	the	DET
fis-125	85	24	stress	stress	NOUN
fis-125	85	25	along	along	ADP
fis-125	85	26	the	the	DET
fis-125	85	27	bar	bar	NOUN
fis-125	85	28	is	be	AUX
fis-125	85	29	homogeneous	homogeneous	ADJ
fis-125	85	30	and	and	CCONJ
fis-125	85	31	is	be	AUX
fis-125	85	32	only	only	ADV
fis-125	85	33	a	a	DET
fis-125	85	34	function	function	NOUN
fis-125	85	35	of	of	ADP
fis-125	85	36	time	time	NOUN
fis-125	85	37	=	=	SYM
fis-125	85	38	0	0	NUM
fis-125	85	39	,	,	PUNCT
fis-125	85	40	=	=	SYM
fis-125	85	41	(	(	PUNCT
fis-125	85	42	(	(	PUNCT
fis-125	85	43	)	)	PUNCT
fis-125	85	44	)	)	PUNCT
fis-125	85	45	(	(	PUNCT
fis-125	85	46	)	)	PUNCT
fis-125	85	47	,	,	PUNCT
fis-125	85	48	(	(	PUNCT
fis-125	85	49	0	0	NUM
fis-125	85	50	,	,	PUNCT
fis-125	85	51	)	)	PUNCT
fis-125	85	52			X
fis-125	85	53			X
fis-125	85	54			X
fis-125	85	55			ADV
fis-125	85	56			NOUN
fis-125	85	57	t	t	PROPN
fis-125	85	58	t	t	PROPN
fis-125	85	59	t	t	PROPN
fis-125	85	60	te	te	PROPN
fis-125	85	61	x	x	SYM
fis-125	85	62	u	u	NOUN
fis-125	85	63	x	x	X
fis-125	85	64	x	x	X
fis-125	85	65	l	l	NOUN
fis-125	85	66	(	(	PUNCT
fis-125	85	67	10	10	NUM
fis-125	85	68	)	)	PUNCT
fis-125	85	69	dividing	dividing	NOUN
fis-125	85	70	(	(	PUNCT
fis-125	85	71	10	10	NUM
fis-125	85	72	)	)	PUNCT
fis-125	85	73	by	by	ADP
fis-125	85	74	(	(	PUNCT
fis-125	85	75	)	)	PUNCT
fis-125	85	76	te	te	PUNCT
fis-125	85	77	,	,	PUNCT
fis-125	85	78	integrating	integrate	VERB
fis-125	85	79	over	over	ADP
fis-125	85	80	(	(	PUNCT
fis-125	85	81	0	0	NUM
fis-125	85	82	,	,	PUNCT
fis-125	85	83	)	)	PUNCT
fis-125	85	84	l	l	NOUN
fis-125	85	85	and	and	CCONJ
fis-125	85	86	using	use	VERB
fis-125	85	87	boundary	boundary	ADJ
fis-125	85	88	conditions	condition	NOUN
fis-125	85	89	(	(	PUNCT
fis-125	85	90	5	5	NUM
fis-125	85	91	)	)	PUNCT
fis-125	85	92	,	,	PUNCT
fis-125	85	93	we	we	PRON
fis-125	85	94	find	find	VERB
fis-125	85	95	0	0	PUNCT
fis-125	85	96	(	(	PUNCT
fis-125	85	97	(	(	PUNCT
fis-125	85	98	)	)	PUNCT
fis-125	85	99	)	)	PUNCT
fis-125	86	1	=	=	X
fis-125	86	2			X
fis-125	86	3			PROPN
fis-125	86	4	l	l	NOUN
fis-125	86	5	t	t	PROPN
fis-125	86	6	t	t	X
fis-125	86	7	ts	ts	X
fis-125	86	8	x	x	PUNCT
fis-125	86	9	dx	dx	PROPN
fis-125	86	10	u	u	PROPN
fis-125	86	11	(	(	PUNCT
fis-125	86	12	11	11	NUM
fis-125	86	13	)	)	PUNCT
fis-125	86	14	the	the	DET
fis-125	86	15	damage	damage	NOUN
fis-125	86	16	problem	problem	NOUN
fis-125	86	17	is	be	AUX
fis-125	86	18	obtained	obtain	VERB
fis-125	86	19	after	after	ADP
fis-125	86	20	inserting	insert	VERB
fis-125	86	21	(	(	PUNCT
fis-125	86	22	9)-(11	9)-(11	NUM
fis-125	86	23	)	)	PUNCT
fis-125	86	24	into	into	ADP
fis-125	86	25	(	(	PUNCT
fis-125	86	26	8)	8)	NUM
fis-125	86	27	.	.	PUNCT
fis-125	86	28	that	that	PRON
fis-125	86	29	leads	lead	VERB
fis-125	86	30	to	to	ADP
fis-125	86	31	the	the	DET
fis-125	86	32	variational	variational	ADJ
fis-125	86	33	inequality	inequality	NOUN
fis-125	86	34	governing	govern	VERB
fis-125	86	35	the	the	DET
fis-125	86	36	evolution	evolution	NOUN
fis-125	86	37	of	of	ADP
fis-125	86	38	the	the	DET
fis-125	86	39	damage	damage	NOUN
fis-125	86	40	2	2	NUM
fis-125	86	41	2	2	NUM
fis-125	86	42	00	00	NUM
fis-125	86	43	0	0	NUM
fis-125	86	44	0	0	NUM
fis-125	86	45	(	(	PUNCT
fis-125	86	46	)	)	PUNCT
fis-125	86	47	2	2	NUM
fis-125	86	48	(	(	PUNCT
fis-125	86	49	)	)	PUNCT
fis-125	86	50	2	2	NUM
fis-125	86	51	0	0	NUM
fis-125	86	52			X
fis-125	86	53			PROPN
fis-125	86	54			NOUN
fis-125	86	55			NOUN
fis-125	86	56			NOUN
fis-125	86	57			PUNCT
fis-125	86	58			PROPN
fis-125	86	59			CCONJ
fis-125	86	60			PROPN
fis-125	86	61			NOUN
fis-125	86	62			PRON
fis-125	87	1			X
fis-125	87	2			X
fis-125	87	3			X
fis-125	87	4			X
fis-125	88	1	l	l	NOUN
fis-125	88	2	l	l	X
fis-125	88	3	l	l	NOUN
fis-125	89	1	t	t	NOUN
fis-125	90	1	t	t	PROPN
fis-125	90	2	t	t	PROPN
fis-125	90	3	ts	ts	ADP
fis-125	90	4	dx	dx	PROPN
fis-125	90	5	w	w	PROPN
fis-125	90	6	dx	dx	PROPN
fis-125	90	7	e	e	PROPN
fis-125	90	8	dx	dx	PROPN
fis-125	90	9	(	(	PUNCT
fis-125	90	10	12	12	NUM
fis-125	90	11	)	)	PUNCT
fis-125	90	12	where	where	SCONJ
fis-125	90	13	the	the	DET
fis-125	90	14	inequality	inequality	NOUN
fis-125	90	15	must	must	AUX
fis-125	90	16	hold	hold	VERB
fis-125	90	17	for	for	ADP
fis-125	90	18	all	all	DET
fis-125	90	19			NOUN
fis-125	90	20			PROPN
fis-125	90	21	and	and	CCONJ
fis-125	90	22	becomes	become	VERB
fis-125	90	23	an	an	DET
fis-125	90	24	equality	equality	NOUN
fis-125	91	1	when	when	SCONJ
fis-125	91	2	=	=	NOUN
fis-125	91	3			NOUN
fis-125	91	4	t	t	ADJ
fis-125	92	1	.	.	PUNCT
fis-125	93	1	after	after	ADP
fis-125	93	2	an	an	DET
fis-125	93	3	integration	integration	NOUN
fis-125	93	4	by	by	ADP
fis-125	93	5	parts	part	NOUN
fis-125	93	6	and	and	CCONJ
fis-125	93	7	using	use	VERB
fis-125	93	8	classical	classical	ADJ
fis-125	93	9	tools	tool	NOUN
fis-125	93	10	of	of	ADP
fis-125	93	11	the	the	DET
fis-125	93	12	calculus	calculus	NOUN
fis-125	93	13	of	of	ADP
fis-125	93	14	variations	variation	NOUN
fis-125	93	15	,	,	PUNCT
fis-125	93	16	we	we	PRON
fis-125	93	17	find	find	VERB
fis-125	93	18	the	the	DET
fis-125	93	19	strong	strong	ADJ
fis-125	93	20	formulation	formulation	NOUN
fis-125	93	21	for	for	ADP
fis-125	93	22	the	the	DET
fis-125	93	23	damage	damage	NOUN
fis-125	93	24	evolution	evolution	NOUN
fis-125	93	25	problem	problem	NOUN
fis-125	93	26	:	:	PUNCT
fis-125	93	27	for	for	ADP
fis-125	93	28	(	(	PUNCT
fis-125	93	29	almost	almost	ADV
fis-125	93	30	)	)	PUNCT
fis-125	93	31	all	all	PRON
fis-125	93	32	0t	0t	NOUN
fis-125	93	33	,	,	PUNCT
fis-125	93	34	irreversibility	irreversibility	NOUN
fis-125	93	35	condition	condition	NOUN
fis-125	93	36	:	:	PUNCT
fis-125	93	37	0	0	PROPN
fis-125	93	38	t	t	NOUN
fis-125	93	39	(	(	PUNCT
fis-125	93	40	13	13	NUM
fis-125	93	41	)	)	PUNCT
fis-125	93	42	damage	damage	NOUN
fis-125	93	43	criterion	criterion	NOUN
fis-125	93	44	:	:	PUNCT
fis-125	93	45	2	2	NUM
fis-125	93	46	2	2	NUM
fis-125	93	47	0	0	NUM
fis-125	93	48	(	(	PUNCT
fis-125	93	49	)	)	PUNCT
fis-125	93	50	2	2	NUM
fis-125	93	51	(	(	PUNCT
fis-125	93	52	)	)	PUNCT
fis-125	93	53	2	2	NUM
fis-125	93	54	0	0	NUM
fis-125	93	55			NOUN
fis-125	93	56			X
fis-125	93	57			X
fis-125	93	58			NOUN
fis-125	93	59			PROPN
fis-125	93	60			ADJ
fis-125	93	61			NOUN
fis-125	93	62	t	t	NOUN
fis-125	93	63	t	t	PROPN
fis-125	93	64	t	t	NOUN
fis-125	93	65	ts	ts	ADP
fis-125	93	66	w	w	PROPN
fis-125	93	67	e	e	PROPN
fis-125	93	68	(	(	PUNCT
fis-125	93	69	14	14	NUM
fis-125	93	70	)	)	PUNCT
fis-125	93	71	loading	loading	NOUN
fis-125	93	72	/	/	SYM
fis-125	93	73	unloading	unload	VERB
fis-125	93	74	condition	condition	NOUN
fis-125	93	75	:	:	PUNCT
fis-125	93	76	2	2	NUM
fis-125	93	77	2	2	NUM
fis-125	93	78	0	0	NUM
fis-125	93	79	(	(	PUNCT
fis-125	93	80	(	(	PUNCT
fis-125	93	81	)	)	PUNCT
fis-125	93	82	2	2	NUM
fis-125	93	83	(	(	PUNCT
fis-125	93	84	)	)	PUNCT
fis-125	93	85	2	2	X
fis-125	93	86	)	)	PUNCT
fis-125	93	87	=	=	SYM
fis-125	93	88	0	0	PROPN
fis-125	93	89			X
fis-125	93	90			X
fis-125	93	91			X
fis-125	93	92			X
fis-125	93	93			NOUN
fis-125	93	94			PROPN
fis-125	93	95			NOUN
fis-125	93	96			ADP
fis-125	93	97	t	t	PROPN
fis-125	93	98	t	t	PROPN
fis-125	93	99	t	t	PROPN
fis-125	93	100	t	t	X
fis-125	93	101	ts	ts	ADP
fis-125	93	102	w	w	PROPN
fis-125	93	103	e	e	X
fis-125	93	104	(	(	PUNCT
fis-125	93	105	15	15	NUM
fis-125	93	106	)	)	PUNCT
fis-125	93	107	remark	remark	NOUN
fis-125	93	108	1	1	NUM
fis-125	93	109	we	we	PRON
fis-125	93	110	can	can	AUX
fis-125	93	111	deduce	deduce	VERB
fis-125	93	112	also	also	ADV
fis-125	93	113	from	from	ADP
fis-125	93	114	the	the	DET
fis-125	93	115	variational	variational	ADJ
fis-125	93	116	approach	approach	NOUN
fis-125	93	117	natural	natural	ADJ
fis-125	93	118	boundary	boundary	ADJ
fis-125	93	119	conditions	condition	NOUN
fis-125	93	120	and	and	CCONJ
fis-125	93	121	regularity	regularity	NOUN
fis-125	93	122	properties	property	NOUN
fis-125	93	123	for	for	ADP
fis-125	93	124	the	the	DET
fis-125	93	125	damage	damage	NOUN
fis-125	93	126	field	field	NOUN
fis-125	93	127	.	.	PUNCT
fis-125	94	1	in	in	ADP
fis-125	94	2	particular	particular	ADJ
fis-125	94	3	,	,	PUNCT
fis-125	94	4	we	we	PRON
fis-125	94	5	obtain	obtain	VERB
fis-125	94	6	that	that	SCONJ
fis-125	94	7			NOUN
fis-125	94	8	t	t	CCONJ
fis-125	94	9	must	must	AUX
fis-125	94	10	be	be	AUX
fis-125	94	11	continuous	continuous	ADJ
fis-125	94	12	everywhere	everywhere	ADV
fis-125	94	13	.	.	PUNCT
fis-125	95	1	as	as	ADP
fis-125	95	2	boundary	boundary	ADJ
fis-125	95	3	conditions	condition	NOUN
fis-125	95	4	at	at	ADP
fis-125	95	5	=	=	PROPN
fis-125	95	6	0x	0x	NOUN
fis-125	95	7	and	and	CCONJ
fis-125	95	8	=	=	NOUN
fis-125	95	9	x	x	NOUN
fis-125	95	10	l	l	NOUN
fis-125	95	11	we	we	PRON
fis-125	95	12	will	will	AUX
fis-125	95	13	simply	simply	ADV
fis-125	95	14	take	take	VERB
fis-125	95	15	(	(	PUNCT
fis-125	95	16	0	0	NUM
fis-125	95	17	)	)	PUNCT
fis-125	95	18	=	=	PRON
fis-125	95	19	(	(	PUNCT
fis-125	95	20	)	)	PUNCT
fis-125	95	21	=	=	SYM
fis-125	95	22	0	0	PROPN
fis-125	95	23			X
fis-125	95	24	t	t	ADV
fis-125	95	25	t	t	NOUN
fis-125	95	26	l	l	NOUN
fis-125	96	1	although	although	SCONJ
fis-125	96	2	the	the	DET
fis-125	96	3	more	more	ADV
fis-125	96	4	general	general	ADJ
fis-125	96	5	ones	one	NOUN
fis-125	96	6	induced	induce	VERB
fis-125	96	7	by	by	ADP
fis-125	96	8	the	the	DET
fis-125	96	9	variational	variational	ADJ
fis-125	96	10	principle	principle	NOUN
fis-125	96	11	correspond	correspond	VERB
fis-125	96	12	to	to	ADP
fis-125	96	13	a	a	DET
fis-125	96	14	combination	combination	NOUN
fis-125	96	15	of	of	ADP
fis-125	96	16	inequalities	inequality	NOUN
fis-125	96	17	and	and	CCONJ
fis-125	96	18	equalities	equality	NOUN
fis-125	96	19	like	like	INTJ
fis-125	96	20	(	(	PUNCT
fis-125	96	21	14)-(15	14)-(15	NUM
fis-125	96	22	)	)	PUNCT
fis-125	96	23	.	.	PUNCT
fis-125	97	1	these	these	DET
fis-125	97	2	regularity	regularity	NOUN
fis-125	97	3	properties	property	NOUN
fis-125	97	4	of	of	ADP
fis-125	97	5	the	the	DET
fis-125	97	6	damage	damage	NOUN
fis-125	97	7	field	field	NOUN
fis-125	97	8	(	(	PUNCT
fis-125	97	9	and	and	CCONJ
fis-125	97	10	consequently	consequently	ADV
fis-125	97	11	the	the	DET
fis-125	97	12	boundary	boundary	ADJ
fis-125	97	13	conditions	condition	NOUN
fis-125	97	14	)	)	PUNCT
fis-125	97	15	hold	hold	VERB
fis-125	97	16	only	only	ADV
fis-125	97	17	for	for	ADP
fis-125	97	18	the	the	DET
fis-125	97	19	gradient	gradient	NOUN
fis-125	97	20	model	model	NOUN
fis-125	97	21	(	(	PUNCT
fis-125	97	22	0	0	PROPN
fis-125	97	23	)	)	PUNCT
fis-125	97	24	and	and	CCONJ
fis-125	97	25	disappear	disappear	VERB
fis-125	97	26	for	for	ADP
fis-125	97	27	the	the	DET
fis-125	97	28	local	local	ADJ
fis-125	97	29	model	model	NOUN
fis-125	97	30	(	(	PUNCT
fis-125	97	31	=	=	NOUN
fis-125	97	32	0	0	NUM
fis-125	97	33	)	)	PUNCT
fis-125	97	34	.	.	PUNCT
fis-125	98	1	as	as	ADV
fis-125	98	2	long	long	ADV
fis-125	98	3	as	as	SCONJ
fis-125	98	4	the	the	DET
fis-125	98	5	regularity	regularity	NOUN
fis-125	98	6	in	in	ADP
fis-125	98	7	time	time	NOUN
fis-125	98	8	is	be	AUX
fis-125	98	9	concerned	concern	VERB
fis-125	98	10	,	,	PUNCT
fis-125	98	11	we	we	PRON
fis-125	98	12	will	will	AUX
fis-125	98	13	only	only	ADV
fis-125	98	14	consider	consider	VERB
fis-125	98	15	evolution	evolution	NOUN
fis-125	98	16	such	such	ADJ
fis-125	98	17	that	that	SCONJ
fis-125	98	18			PRON
fis-125	98	19	tt	tt	PROPN
fis-125	98	20	is	be	AUX
fis-125	98	21	at	at	ADP
fis-125	98	22	least	least	ADJ
fis-125	98	23	continuous	continuous	ADJ
fis-125	98	24	.	.	PUNCT
fis-125	99	1	in	in	ADP
fis-125	99	2	terms	term	NOUN
fis-125	99	3	of	of	ADP
fis-125	99	4	energy	energy	NOUN
fis-125	99	5	,	,	PUNCT
fis-125	99	6	we	we	PRON
fis-125	99	7	have	have	VERB
fis-125	99	8	the	the	DET
fis-125	99	9	following	follow	VERB
fis-125	99	10	property	property	NOUN
fis-125	99	11	property	property	NOUN
fis-125	99	12	1	1	NUM
fis-125	99	13	(	(	PUNCT
fis-125	99	14	balance	balance	NOUN
fis-125	99	15	of	of	ADP
fis-125	99	16	energy	energy	NOUN
fis-125	99	17	)	)	PUNCT
fis-125	99	18	let	let	VERB
fis-125	99	19	us	we	PRON
fis-125	99	20	assume	assume	VERB
fis-125	99	21	that	that	SCONJ
fis-125	99	22	the	the	DET
fis-125	99	23	bar	bar	NOUN
fis-125	99	24	is	be	AUX
fis-125	99	25	undamaged	undamaged	ADJ
fis-125	99	26	and	and	CCONJ
fis-125	99	27	unstretched	unstretched	ADJ
fis-125	99	28	at	at	ADP
fis-125	99	29	time	time	NOUN
fis-125	99	30	0	0	NUM
fis-125	99	31	,	,	PUNCT
fis-125	99	32	i.e.	i.e.	X
fis-125	99	33	0	0	X
fis-125	99	34	=	=	SYM
fis-125	99	35	0	0	PROPN
fis-125	99	36	and	and	CCONJ
fis-125	99	37	0	0	NUM
fis-125	99	38	=	=	SYM
fis-125	99	39	0u	0u	ADJ
fis-125	99	40	.	.	PUNCT
fis-125	100	1	by	by	ADP
fis-125	100	2	definition	definition	NOUN
fis-125	100	3	,	,	PUNCT
fis-125	100	4	the	the	DET
fis-125	100	5	work	work	NOUN
fis-125	100	6	done	do	VERB
fis-125	100	7	by	by	ADP
fis-125	100	8	the	the	DET
fis-125	100	9	external	external	ADJ
fis-125	100	10	loads	load	NOUN
fis-125	100	11	up	up	ADP
fis-125	100	12	to	to	ADP
fis-125	100	13	time	time	NOUN
fis-125	100	14	t	t	PROPN
fis-125	100	15	is	be	AUX
fis-125	100	16	given	give	VERB
fis-125	100	17	by	by	ADP
fis-125	100	18	0	0	NUM
fis-125	100	19	(	(	PUNCT
fis-125	100	20	)	)	PUNCT
fis-125	100	21	=	=	SYM
fis-125	101	1			NOUN
fis-125	101	2	t	t	PUNCT
fis-125	102	1	e	e	PROPN
fis-125	102	2	s	s	PROPN
fis-125	102	3	st	st	PROPN
fis-125	102	4	u	u	PROPN
fis-125	102	5	ds	ds	PROPN
fis-125	102	6	(	(	PUNCT
fis-125	102	7	16	16	NUM
fis-125	102	8	)	)	PUNCT
fis-125	102	9	the	the	DET
fis-125	102	10	total	total	ADJ
fis-125	102	11	dissipated	dissipate	VERB
fis-125	102	12	energy	energy	NOUN
fis-125	102	13	in	in	ADP
fis-125	102	14	the	the	DET
fis-125	102	15	bar	bar	NOUN
fis-125	102	16	during	during	ADP
fis-125	102	17	the	the	DET
fis-125	102	18	damage	damage	NOUN
fis-125	102	19	process	process	NOUN
fis-125	102	20	up	up	ADP
fis-125	102	21	to	to	ADP
fis-125	102	22	time	time	NOUN
fis-125	102	23	t	t	PROPN
fis-125	102	24	is	be	AUX
fis-125	102	25	given	give	VERB
fis-125	102	26	by	by	ADP
fis-125	102	27	2	2	NUM
fis-125	102	28	2	2	NUM
fis-125	102	29	0	0	NUM
fis-125	102	30	0	0	NUM
fis-125	102	31	0	0	NUM
fis-125	102	32	1	1	NUM
fis-125	102	33	(	(	PUNCT
fis-125	102	34	)	)	PUNCT
fis-125	102	35	=	=	SYM
fis-125	102	36	(	(	PUNCT
fis-125	102	37	)	)	PUNCT
fis-125	102	38	(	(	PUNCT
fis-125	102	39	(	(	PUNCT
fis-125	102	40	)	)	PUNCT
fis-125	102	41	)	)	PUNCT
fis-125	102	42	2	2	NUM
fis-125	102	43			NOUN
fis-125	102	44			X
fis-125	102	45			NUM
fis-125	102	46			SYM
fis-125	103	1	l	l	PUNCT
fis-125	103	2	l	l	PUNCT
fis-125	104	1	d	d	NOUN
fis-125	104	2	t	t	X
fis-125	104	3	tt	tt	X
fis-125	104	4	e	e	X
fis-125	104	5	x	x	X
fis-125	104	6	dx	dx	PROPN
fis-125	104	7	w	w	PROPN
fis-125	104	8	x	x	X
fis-125	104	9	dx	dx	NOUN
fis-125	104	10	(	(	PUNCT
fis-125	104	11	17	17	NUM
fis-125	104	12	)	)	PUNCT
fis-125	104	13	while	while	SCONJ
fis-125	104	14	the	the	DET
fis-125	104	15	elastic	elastic	ADJ
fis-125	104	16	energy	energy	NOUN
fis-125	104	17	which	which	PRON
fis-125	104	18	remains	remains	AUX
fis-125	104	19	stored	store	VERB
fis-125	104	20	in	in	ADP
fis-125	104	21	the	the	DET
fis-125	104	22	bar	bar	NOUN
fis-125	104	23	at	at	ADP
fis-125	104	24	time	time	NOUN
fis-125	104	25	t	t	PROPN
fis-125	104	26	is	be	AUX
fis-125	104	27	equal	equal	ADJ
fis-125	104	28	to	to	ADP
fis-125	104	29	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	104	30	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	104	31	k.	k.	PROPN
fis-125	104	32	pham	pham	PROPN
fis-125	104	33	et	et	PROPN
fis-125	104	34	alii	alii	PROPN
fis-125	104	35	,	,	PUNCT
fis-125	104	36	frattura	frattura	PROPN
fis-125	104	37	ed	ed	PROPN
fis-125	104	38	integrità	integrità	PROPN
fis-125	104	39	strutturale	strutturale	PROPN
fis-125	104	40	,	,	PUNCT
fis-125	104	41	19	19	NUM
fis-125	104	42	(	(	PUNCT
fis-125	104	43	2012	2012	NUM
fis-125	104	44	)	)	PUNCT
fis-125	104	45	5	5	NUM
fis-125	104	46	-	-	SYM
fis-125	104	47	19	19	NUM
fis-125	104	48	;	;	PUNCT
fis-125	104	49	doi	doi	NOUN
fis-125	104	50	:	:	PUNCT
fis-125	104	51	10.3221	10.3221	NUM
fis-125	104	52	/	/	SYM
fis-125	104	53	igf	igf	PROPN
fis-125	104	54	-	-	PUNCT
fis-125	104	55	esis.19.01	esis.19.01	ADJ
fis-125	104	56	9	9	NUM
fis-125	104	57	2	2	NUM
fis-125	104	58	0	0	NUM
fis-125	104	59	(	(	PUNCT
fis-125	104	60	)	)	PUNCT
fis-125	104	61	=	=	SYM
fis-125	104	62	(	(	PUNCT
fis-125	104	63	(	(	PUNCT
fis-125	104	64	)	)	PUNCT
fis-125	104	65	)	)	PUNCT
fis-125	104	66	.	.	PUNCT
fis-125	105	1	2	2	NUM
fis-125	105	2			PROPN
fis-125	105	3			PROPN
fis-125	105	4	l	l	NOUN
fis-125	105	5	t	t	PROPN
fis-125	105	6	e	e	X
fis-125	105	7	tt	tt	PROPN
fis-125	105	8	s	s	PROPN
fis-125	105	9	x	x	X
fis-125	105	10	dx	dx	NOUN
fis-125	105	11	(	(	PUNCT
fis-125	105	12	18	18	NUM
fis-125	105	13	)	)	PUNCT
fis-125	105	14	by	by	ADP
fis-125	105	15	virtue	virtue	NOUN
fis-125	105	16	of	of	ADP
fis-125	105	17	the	the	DET
fis-125	105	18	conditions	condition	NOUN
fis-125	105	19	(	(	PUNCT
fis-125	105	20	13)--(15	13)--(15	NUM
fis-125	105	21	)	)	PUNCT
fis-125	105	22	that	that	SCONJ
fis-125	105	23	the	the	DET
fis-125	105	24	fields	field	NOUN
fis-125	105	25	have	have	VERB
fis-125	105	26	to	to	PART
fis-125	105	27	satisfy	satisfy	VERB
fis-125	105	28	,	,	PUNCT
fis-125	105	29	the	the	DET
fis-125	105	30	following	follow	VERB
fis-125	105	31	balance	balance	NOUN
fis-125	105	32	of	of	ADP
fis-125	105	33	energy	energy	NOUN
fis-125	105	34	holds	hold	VERB
fis-125	105	35	true	true	ADJ
fis-125	105	36	at	at	ADP
fis-125	105	37	each	each	DET
fis-125	105	38	time	time	NOUN
fis-125	105	39	:	:	PUNCT
fis-125	105	40	(	(	PUNCT
fis-125	105	41	)	)	PUNCT
fis-125	105	42	=	=	SYM
fis-125	105	43	(	(	PUNCT
fis-125	105	44	)	)	PUNCT
fis-125	105	45	(	(	PUNCT
fis-125	105	46	)	)	PUNCT
fis-125	105	47	e	e	X
fis-125	105	48	e	e	X
fis-125	105	49	dt	dt	X
fis-125	105	50	t	t	PROPN
fis-125	105	51	t	t	VERB
fis-125	105	52			ADJ
fis-125	105	53			ADJ
fis-125	105	54	proof	proof	NOUN
fis-125	105	55	.	.	PUNCT
fis-125	106	1	by	by	ADP
fis-125	106	2	virtue	virtue	NOUN
fis-125	106	3	of	of	ADP
fis-125	106	4	the	the	DET
fis-125	106	5	equilibrium	equilibrium	NOUN
fis-125	106	6	condition	condition	NOUN
fis-125	106	7	and	and	CCONJ
fis-125	106	8	the	the	DET
fis-125	106	9	definition	definition	NOUN
fis-125	106	10	of	of	ADP
fis-125	106	11	the	the	DET
fis-125	106	12	elastic	elastic	ADJ
fis-125	106	13	energy	energy	NOUN
fis-125	106	14	,	,	PUNCT
fis-125	106	15	the	the	DET
fis-125	106	16	work	work	NOUN
fis-125	106	17	done	do	VERB
fis-125	106	18	by	by	ADP
fis-125	106	19	the	the	DET
fis-125	106	20	external	external	ADJ
fis-125	106	21	load	load	NOUN
fis-125	106	22	can	can	AUX
fis-125	106	23	read	read	VERB
fis-125	106	24	as	as	ADP
fis-125	106	25			NOUN
fis-125	106	26	0	0	NOUN
fis-125	106	27	0	0	NUM
fis-125	106	28	0	0	NUM
fis-125	106	29	(	(	PUNCT
fis-125	106	30	)	)	PUNCT
fis-125	106	31	=	=	SYM
fis-125	106	32	(	(	PUNCT
fis-125	106	33	(	(	PUNCT
fis-125	106	34	)	)	PUNCT
fis-125	106	35	)	)	PUNCT
fis-125	107	1	(	(	PUNCT
fis-125	107	2	(	(	PUNCT
fis-125	107	3	)	)	PUNCT
fis-125	107	4	)	)	PUNCT
fis-125	108	1	(	(	PUNCT
fis-125	108	2	)	)	PUNCT
fis-125	108	3			X
fis-125	108	4			X
fis-125	108	5			NOUN
fis-125	108	6			X
fis-125	108	7			NOUN
fis-125	108	8			PROPN
fis-125	108	9			X
fis-125	108	10			X
fis-125	108	11			NOUN
fis-125	108	12	t	t	NOUN
fis-125	108	13	l	l	NOUN
fis-125	108	14	l	l	NOUN
fis-125	109	1	e	e	X
fis-125	109	2	s	s	X
fis-125	109	3	s	s	X
fis-125	109	4	s	s	X
fis-125	109	5	s	s	X
fis-125	109	6	s	s	X
fis-125	109	7	st	st	PROPN
fis-125	109	8	s	s	X
fis-125	109	9	x	x	X
fis-125	109	10	dx	dx	PROPN
fis-125	109	11	s	s	PROPN
fis-125	109	12	x	x	X
fis-125	109	13	x	x	SYM
fis-125	109	14	dx	dx	PROPN
fis-125	109	15	ds	ds	PROPN
fis-125	109	16	2	2	NUM
fis-125	109	17	0	0	NUM
fis-125	109	18	0	0	NUM
fis-125	109	19	0	0	NUM
fis-125	109	20	=	=	SYM
fis-125	109	21	(	(	PUNCT
fis-125	109	22	)	)	PUNCT
fis-125	109	23	(	(	PUNCT
fis-125	109	24	(	(	PUNCT
fis-125	109	25	)	)	PUNCT
fis-125	109	26	)	)	PUNCT
fis-125	110	1	(	(	PUNCT
fis-125	110	2	)	)	PUNCT
fis-125	110	3	2	2	NUM
fis-125	110	4			PROPN
fis-125	110	5			NOUN
fis-125	110	6			PROPN
fis-125	110	7			PUNCT
fis-125	110	8			X
fis-125	110	9			PROPN
fis-125	110	10	t	t	PROPN
fis-125	110	11	t	t	NOUN
fis-125	110	12	l	l	NOUN
fis-125	110	13	s	s	PART
fis-125	110	14	e	e	NOUN
fis-125	110	15	s	s	NOUN
fis-125	110	16	ss	ss	NOUN
fis-125	110	17	ds	ds	PROPN
fis-125	110	18	s	s	NOUN
fis-125	110	19	x	x	PUNCT
fis-125	110	20	x	x	PUNCT
fis-125	110	21	dxds	dxds	NOUN
fis-125	110	22	using	use	VERB
fis-125	110	23	the	the	DET
fis-125	110	24	initial	initial	ADJ
fis-125	110	25	condition	condition	NOUN
fis-125	110	26	and	and	CCONJ
fis-125	110	27	the	the	DET
fis-125	110	28	consistency	consistency	NOUN
fis-125	110	29	condition	condition	NOUN
fis-125	110	30	in	in	ADP
fis-125	110	31	the	the	DET
fis-125	110	32	bulk	bulk	NOUN
fis-125	110	33	,	,	PUNCT
fis-125	110	34	one	one	PRON
fis-125	110	35	gets	get	VERB
fis-125	110	36	2	2	NUM
fis-125	110	37	00	00	NUM
fis-125	110	38	0	0	NUM
fis-125	110	39	0	0	NUM
fis-125	110	40	0	0	NUM
fis-125	111	1	(	(	PUNCT
fis-125	111	2	)	)	PUNCT
fis-125	111	3	=	=	SYM
fis-125	111	4	(	(	PUNCT
fis-125	111	5	)	)	PUNCT
fis-125	111	6	(	(	PUNCT
fis-125	111	7	)	)	PUNCT
fis-125	111	8			X
fis-125	111	9			X
fis-125	111	10			X
fis-125	111	11			X
fis-125	111	12			VERB
fis-125	111	13			NOUN
fis-125	111	14			PUNCT
fis-125	111	15			X
fis-125	111	16			NUM
fis-125	111	17			NOUN
fis-125	111	18	t	t	PROPN
fis-125	111	19	l	l	NOUN
fis-125	111	20	t	t	NOUN
fis-125	111	21	l	l	NOUN
fis-125	111	22	e	e	X
fis-125	111	23	e	e	NOUN
fis-125	111	24	s	s	PROPN
fis-125	111	25	s	s	X
fis-125	111	26	s	s	PROPN
fis-125	111	27	st	st	PROPN
fis-125	111	28	t	t	PROPN
fis-125	111	29	w	w	PROPN
fis-125	111	30	dxds	dxds	PROPN
fis-125	111	31	e	e	PROPN
fis-125	111	32	dxds	dxds	VERB
fis-125	111	33			ADJ
fis-125	111	34	2	2	NUM
fis-125	111	35	2	2	NUM
fis-125	111	36	0	0	NUM
fis-125	111	37	00	00	NUM
fis-125	111	38	0	0	NUM
fis-125	111	39	0	0	NUM
fis-125	111	40	0	0	NUM
fis-125	111	41	=	=	SYM
fis-125	111	42	(	(	PUNCT
fis-125	111	43	)	)	PUNCT
fis-125	111	44	(	(	PUNCT
fis-125	111	45	)	)	PUNCT
fis-125	111	46	'	'	PUNCT
fis-125	111	47	(	(	PUNCT
fis-125	111	48	(	(	PUNCT
fis-125	111	49	)	)	PUNCT
fis-125	111	50	(	(	PUNCT
fis-125	111	51	)	)	PUNCT
fis-125	111	52	(	(	PUNCT
fis-125	111	53	0	0	NUM
fis-125	111	54	)	)	PUNCT
fis-125	111	55	(	(	PUNCT
fis-125	111	56	0))	0))	NUM
fis-125	111	57			X
fis-125	111	58			X
fis-125	111	59			X
fis-125	111	60			X
fis-125	111	61			X
fis-125	111	62			X
fis-125	111	63			ADV
fis-125	111	64			PUNCT
fis-125	111	65			VERB
fis-125	111	66			NOUN
fis-125	111	67			NOUN
fis-125	111	68			PUNCT
fis-125	111	69			PUNCT
fis-125	111	70			X
fis-125	112	1			NOUN
fis-125	112	2			NOUN
fis-125	112	3			X
fis-125	112	4	l	l	PROPN
fis-125	112	5	t	t	NOUN
fis-125	112	6	l	l	NOUN
fis-125	112	7	t	t	NOUN
fis-125	112	8	e	e	X
fis-125	112	9	t	t	PROPN
fis-125	112	10	s	s	PART
fis-125	112	11	s	s	NOUN
fis-125	112	12	s	s	X
fis-125	112	13	s	s	X
fis-125	112	14	s	s	NOUN
fis-125	112	15	st	st	PROPN
fis-125	112	16	w	w	PROPN
fis-125	112	17	dx	dx	PROPN
fis-125	112	18	e	e	PROPN
fis-125	112	19	dxds	dxds	PROPN
fis-125	112	20	e	e	PROPN
fis-125	112	21	l	l	NOUN
fis-125	112	22	l	l	NOUN
fis-125	112	23	ds	ds	NOUN
fis-125	112	24	using	use	VERB
fis-125	112	25	once	once	ADV
fis-125	112	26	more	more	ADV
fis-125	112	27	the	the	DET
fis-125	112	28	initial	initial	ADJ
fis-125	112	29	condition	condition	NOUN
fis-125	112	30	and	and	CCONJ
fis-125	112	31	the	the	DET
fis-125	112	32	consistency	consistency	NOUN
fis-125	112	33	condition	condition	NOUN
fis-125	112	34	at	at	ADP
fis-125	112	35	the	the	DET
fis-125	112	36	boundary	boundary	NOUN
fis-125	112	37	,	,	PUNCT
fis-125	112	38	we	we	PRON
fis-125	112	39	obtain	obtain	VERB
fis-125	112	40	the	the	DET
fis-125	112	41	desired	desire	VERB
fis-125	112	42	equality	equality	NOUN
fis-125	112	43	.	.	PUNCT
fis-125	113	1	the	the	DET
fis-125	113	2	homogeneous	homogeneous	ADJ
fis-125	113	3	solution	solution	NOUN
fis-125	113	4	and	and	CCONJ
fis-125	113	5	the	the	DET
fis-125	113	6	issue	issue	NOUN
fis-125	113	7	of	of	ADP
fis-125	113	8	uniqueness	uniqueness	NOUN
fis-125	113	9	if	if	SCONJ
fis-125	113	10	we	we	PRON
fis-125	113	11	assume	assume	VERB
fis-125	113	12	that	that	SCONJ
fis-125	113	13	the	the	DET
fis-125	113	14	bar	bar	NOUN
fis-125	113	15	is	be	AUX
fis-125	113	16	undamaged	undamaged	ADJ
fis-125	113	17	at	at	ADP
fis-125	113	18	=	=	PROPN
fis-125	113	19	0	0	NUM
fis-125	113	20	t	t	NOUN
fis-125	113	21	,	,	PUNCT
fis-125	113	22	i.e.	i.e.	X
fis-125	113	23	if	if	SCONJ
fis-125	113	24	0	0	NUM
fis-125	113	25	(	(	PUNCT
fis-125	113	26	)	)	PUNCT
fis-125	113	27	=	=	SYM
fis-125	113	28	0	0	PROPN
fis-125	113	29	x	x	X
fis-125	113	30	for	for	ADP
fis-125	113	31	all	all	PRON
fis-125	113	32	x	x	NOUN
fis-125	113	33	,	,	PUNCT
fis-125	113	34	then	then	ADV
fis-125	113	35	it	it	PRON
fis-125	113	36	is	be	AUX
fis-125	113	37	easy	easy	ADJ
fis-125	113	38	to	to	PART
fis-125	113	39	check	check	VERB
fis-125	113	40	that	that	SCONJ
fis-125	113	41	the	the	DET
fis-125	113	42	damage	damage	NOUN
fis-125	113	43	evolution	evolution	NOUN
fis-125	113	44	problem	problem	NOUN
fis-125	113	45	admits	admit	VERB
fis-125	113	46	the	the	DET
fis-125	113	47	so	so	ADV
fis-125	113	48	-	-	PUNCT
fis-125	113	49	called	call	VERB
fis-125	113	50	homogeneous	homogeneous	ADJ
fis-125	113	51	solution	solution	NOUN
fis-125	113	52	where	where	SCONJ
fis-125	113	53	t	t	PROPN
fis-125	113	54	depends	depend	VERB
fis-125	113	55	on	on	ADP
fis-125	113	56	t	t	PROPN
fis-125	113	57	but	but	CCONJ
fis-125	113	58	not	not	PART
fis-125	113	59	on	on	ADP
fis-125	113	60	x	x	X
fis-125	113	61	.	.	PUNCT
fis-125	114	1	let	let	VERB
fis-125	114	2	us	we	PRON
fis-125	114	3	construct	construct	VERB
fis-125	114	4	this	this	DET
fis-125	114	5	particular	particular	ADJ
fis-125	114	6	solution	solution	NOUN
fis-125	114	7	in	in	ADP
fis-125	114	8	the	the	DET
fis-125	114	9	case	case	NOUN
fis-125	114	10	where	where	SCONJ
fis-125	114	11	the	the	DET
fis-125	114	12	prescribed	prescribed	ADJ
fis-125	114	13	displacement	displacement	NOUN
fis-125	114	14	is	be	AUX
fis-125	114	15	monotonically	monotonically	ADV
fis-125	114	16	increasing	increase	VERB
fis-125	114	17	,	,	PUNCT
fis-125	114	18	i.e.	i.e.	X
fis-125	114	19	when	when	SCONJ
fis-125	114	20	=	=	PROPN
fis-125	114	21	tu	tu	X
fis-125	114	22	tl	tl	PROPN
fis-125	114	23	.	.	PUNCT
fis-125	115	1	from	from	ADP
fis-125	115	2	(	(	PUNCT
fis-125	115	3	11	11	NUM
fis-125	115	4	)	)	PUNCT
fis-125	115	5	,	,	PUNCT
fis-125	115	6	we	we	PRON
fis-125	115	7	get	get	VERB
fis-125	115	8	=	=	SYM
fis-125	115	9	(	(	PUNCT
fis-125	115	10	)	)	PUNCT
fis-125	115	11			X
fis-125	115	12	t	t	PROPN
fis-125	115	13	te	te	ADP
fis-125	115	14	t	t	NOUN
fis-125	115	15	.	.	PUNCT
fis-125	116	1	inserting	insert	VERB
fis-125	116	2	this	this	DET
fis-125	116	3	relation	relation	NOUN
fis-125	116	4	into	into	ADP
fis-125	116	5	(	(	PUNCT
fis-125	116	6	14	14	NUM
fis-125	116	7	)	)	PUNCT
fis-125	116	8	and	and	CCONJ
fis-125	116	9	(	(	PUNCT
fis-125	116	10	15	15	X
fis-125	116	11	)	)	PUNCT
fis-125	116	12	leads	lead	VERB
fis-125	116	13	to	to	ADP
fis-125	116	14	2	2	NUM
fis-125	116	15	2	2	NUM
fis-125	116	16	(	(	PUNCT
fis-125	116	17	)	)	PUNCT
fis-125	116	18	(	(	PUNCT
fis-125	116	19	)	)	PUNCT
fis-125	116	20	,	,	PUNCT
fis-125	116	21	=	=	SYM
fis-125	116	22	0	0	SYM
fis-125	116	23	2	2	NUM
fis-125	116	24	(	(	PUNCT
fis-125	116	25	)	)	PUNCT
fis-125	116	26	2	2	NUM
fis-125	116	27	(	(	PUNCT
fis-125	116	28	)	)	PUNCT
fis-125	116	29			X
fis-125	116	30			X
fis-125	116	31			X
fis-125	116	32			X
fis-125	116	33			X
fis-125	116	34			CCONJ
fis-125	116	35			PROPN
fis-125	116	36			PROPN
fis-125	116	37			NOUN
fis-125	116	38			NOUN
fis-125	116	39			PROPN
fis-125	116	40			PROPN
fis-125	117	1			PROPN
fis-125	117	2			NOUN
fis-125	117	3	t	t	PUNCT
fis-125	117	4	t	t	PROPN
fis-125	117	5	t	t	PROPN
fis-125	117	6	t	t	PROPN
fis-125	117	7	t	t	PROPN
fis-125	117	8	w	w	PROPN
fis-125	117	9	wt	wt	PROPN
fis-125	117	10	t	t	NOUN
fis-125	117	11	e	e	X
fis-125	117	12	e	e	X
fis-125	117	13	(	(	PUNCT
fis-125	117	14	19	19	NUM
fis-125	117	15	)	)	PUNCT
fis-125	117	16	since	since	SCONJ
fis-125	117	17	0	0	NUM
fis-125	117	18	=	=	SYM
fis-125	117	19	0	0	PROPN
fis-125	117	20	,	,	PUNCT
fis-125	117	21	t	t	PROPN
fis-125	117	22	remains	remain	VERB
fis-125	117	23	equal	equal	ADJ
fis-125	117	24	to	to	ADP
fis-125	117	25	0	0	NUM
fis-125	117	26	as	as	ADV
fis-125	117	27	long	long	ADV
fis-125	117	28	as	as	ADP
fis-125	117	29	0	0	NUM
fis-125	117	30	=	=	SYM
fis-125	117	31	2	2	NUM
fis-125	117	32	(	(	PUNCT
fis-125	117	33	0	0	NUM
fis-125	117	34	)	)	PUNCT
fis-125	117	35	/	/	PUNCT
fis-125	118	1	(	(	PUNCT
fis-125	118	2	0)	0)	NUM
fis-125	118	3			PROPN
fis-125	118	4			PROPN
fis-125	118	5	t	t	VERB
fis-125	118	6	w	w	PROPN
fis-125	118	7	e	e	NOUN
fis-125	118	8	.	.	PUNCT
fis-125	119	1	that	that	PRON
fis-125	119	2	corresponds	correspond	VERB
fis-125	119	3	to	to	ADP
fis-125	119	4	the	the	DET
fis-125	119	5	elastic	elastic	ADJ
fis-125	119	6	phase	phase	NOUN
fis-125	119	7	.	.	PUNCT
fis-125	120	1	for	for	ADP
fis-125	120	2	0	0	NUM
fis-125	120	3	>	>	X
fis-125	120	4	t	t	NOUN
fis-125	120	5	,	,	PUNCT
fis-125	120	6	since	since	SCONJ
fis-125	120	7	/	/	PUNCT
fis-125	121	1	w	w	PROPN
fis-125	121	2	e	e	PROPN
fis-125	121	3	is	be	AUX
fis-125	121	4	increasing	increase	VERB
fis-125	121	5	by	by	ADP
fis-125	121	6	virtue	virtue	NOUN
fis-125	121	7	of	of	ADP
fis-125	121	8	hypothesis	hypothesis	NOUN
fis-125	121	9	1	1	NUM
fis-125	121	10	,	,	PUNCT
fis-125	121	11	the	the	DET
fis-125	121	12	first	first	ADJ
fis-125	121	13	relation	relation	NOUN
fis-125	121	14	of	of	ADP
fis-125	121	15	(	(	PUNCT
fis-125	121	16	19	19	NUM
fis-125	121	17	)	)	PUNCT
fis-125	121	18	must	must	AUX
fis-125	121	19	be	be	AUX
fis-125	121	20	an	an	DET
fis-125	121	21	equality	equality	NOUN
fis-125	121	22	.	.	PUNCT
fis-125	122	1	therefore	therefore	ADV
fis-125	122	2	t	t	PROPN
fis-125	122	3	is	be	AUX
fis-125	122	4	given	give	VERB
fis-125	122	5	by	by	ADP
fis-125	122	6	1	1	NUM
fis-125	122	7	2	2	NUM
fis-125	122	8	=	=	SYM
fis-125	122	9	2	2	NUM
fis-125	122	10			X
fis-125	122	11			VERB
fis-125	122	12			NOUN
fis-125	122	13			PROPN
fis-125	122	14			VERB
fis-125	122	15			PROPN
fis-125	122	16			PUNCT
fis-125	122	17			PROPN
fis-125	122	18			NOUN
fis-125	122	19			PROPN
fis-125	122	20			NOUN
fis-125	122	21	t	t	NOUN
fis-125	122	22	w	w	NOUN
fis-125	122	23	t	t	PROPN
fis-125	122	24	e	e	NOUN
fis-125	122	25	and	and	CCONJ
fis-125	122	26	grows	grow	VERB
fis-125	122	27	from	from	ADP
fis-125	122	28	0	0	NUM
fis-125	122	29	to	to	ADP
fis-125	122	30	1	1	NUM
fis-125	122	31	when	when	SCONJ
fis-125	122	32	t	t	PROPN
fis-125	122	33	grows	grow	VERB
fis-125	122	34	from	from	ADP
fis-125	122	35	0	0	NOUN
fis-125	122	36	to	to	AUX
fis-125	122	37			VERB
fis-125	122	38	.	.	PUNCT
fis-125	123	1	during	during	ADP
fis-125	123	2	this	this	DET
fis-125	123	3	damaging	damaging	ADJ
fis-125	123	4	phase	phase	NOUN
fis-125	123	5	,	,	PUNCT
fis-125	123	6	the	the	DET
fis-125	123	7	stress	stress	NOUN
fis-125	123	8			PROPN
fis-125	123	9	t	t	PROPN
fis-125	123	10	is	be	AUX
fis-125	123	11	given	give	VERB
fis-125	123	12	by	by	ADP
fis-125	123	13	2	2	NUM
fis-125	123	14	(	(	PUNCT
fis-125	123	15	)	)	PUNCT
fis-125	123	16	=	=	SYM
fis-125	123	17	(	(	PUNCT
fis-125	123	18	)	)	PUNCT
fis-125	123	19			X
fis-125	123	20			X
fis-125	123	21			X
fis-125	123	22			PROPN
fis-125	124	1			ADP
fis-125	124	2	t	t	PROPN
fis-125	125	1	t	t	PROPN
fis-125	125	2	t	t	PROPN
fis-125	125	3	w	w	PROPN
fis-125	125	4	s	s	PROPN
fis-125	125	5	since	since	SCONJ
fis-125	125	6	/	/	PUNCT
fis-125	126	1	w	w	PROPN
fis-125	126	2	s	s	VERB
fis-125	126	3	is	be	AUX
fis-125	126	4	decreasing	decrease	VERB
fis-125	126	5	to	to	ADP
fis-125	126	6	0	0	NUM
fis-125	126	7	by	by	ADP
fis-125	126	8	virtue	virtue	NOUN
fis-125	126	9	of	of	ADP
fis-125	126	10	hypothesis	hypothesis	NOUN
fis-125	126	11	1	1	NUM
fis-125	126	12	,	,	PUNCT
fis-125	126	13			PROPN
fis-125	126	14	t	t	PROPN
fis-125	126	15	decreases	decrease	VERB
fis-125	126	16	to	to	ADP
fis-125	126	17	0	0	NUM
fis-125	126	18	when	when	SCONJ
fis-125	126	19	t	t	PROPN
fis-125	126	20	grows	grow	VERB
fis-125	126	21	from	from	ADP
fis-125	126	22	0	0	NOUN
fis-125	126	23	to	to	AUX
fis-125	126	24			VERB
fis-125	126	25	.	.	PUNCT
fis-125	127	1	this	this	DET
fis-125	127	2	last	last	ADJ
fis-125	127	3	property	property	NOUN
fis-125	127	4	corresponds	correspond	VERB
fis-125	127	5	to	to	ADP
fis-125	127	6	the	the	DET
fis-125	127	7	softening	soften	VERB
fis-125	127	8	character	character	NOUN
fis-125	127	9	of	of	ADP
fis-125	127	10	the	the	DET
fis-125	127	11	damage	damage	NOUN
fis-125	127	12	model	model	NOUN
fis-125	127	13	.	.	PUNCT
fis-125	128	1	note	note	VERB
fis-125	128	2	that	that	SCONJ
fis-125	128	3			PROPN
fis-125	128	4	t	t	PROPN
fis-125	128	5	tends	tend	VERB
fis-125	128	6	only	only	ADV
fis-125	128	7	asymptotically	asymptotically	ADV
fis-125	128	8	to	to	ADP
fis-125	128	9	0	0	NUM
fis-125	128	10	,	,	PUNCT
fis-125	128	11	what	what	PRON
fis-125	128	12	means	mean	VERB
fis-125	128	13	that	that	SCONJ
fis-125	128	14	an	an	DET
fis-125	128	15	infinite	infinite	ADJ
fis-125	128	16	displacement	displacement	NOUN
fis-125	128	17	is	be	AUX
fis-125	128	18	necessary	necessary	ADJ
fis-125	128	19	to	to	PART
fis-125	128	20	break	break	VERB
fis-125	128	21	the	the	DET
fis-125	128	22	bar	bar	NOUN
fis-125	128	23	in	in	ADP
fis-125	128	24	the	the	DET
fis-125	128	25	case	case	NOUN
fis-125	128	26	of	of	ADP
fis-125	128	27	a	a	DET
fis-125	128	28	homogeneous	homogeneous	ADJ
fis-125	128	29	response	response	NOUN
fis-125	128	30	.	.	PUNCT
fis-125	129	1	in	in	ADP
fis-125	129	2	terms	term	NOUN
fis-125	129	3	of	of	ADP
fis-125	129	4	energy	energy	NOUN
fis-125	129	5	,	,	PUNCT
fis-125	129	6	the	the	DET
fis-125	129	7	dissipated	dissipate	VERB
fis-125	129	8	energy	energy	NOUN
fis-125	129	9	during	during	ADP
fis-125	129	10	the	the	DET
fis-125	129	11	damage	damage	NOUN
fis-125	129	12	process	process	NOUN
fis-125	129	13	is	be	AUX
fis-125	129	14	given	give	VERB
fis-125	129	15	by	by	ADP
fis-125	129	16	(	(	PUNCT
fis-125	129	17	)	)	PUNCT
fis-125	129	18	=	=	SYM
fis-125	129	19	(	(	PUNCT
fis-125	129	20	)	)	PUNCT
fis-125	129	21	d	d	PROPN
fis-125	129	22	tt	tt	PROPN
fis-125	129	23	w	w	PROPN
fis-125	129	24	l	l	PROPN
fis-125	129	25	hence	hence	ADV
fis-125	129	26	,	,	PUNCT
fis-125	129	27	it	it	PRON
fis-125	129	28	is	be	AUX
fis-125	129	29	proportional	proportional	ADJ
fis-125	129	30	to	to	ADP
fis-125	129	31	the	the	DET
fis-125	129	32	length	length	NOUN
fis-125	129	33	of	of	ADP
fis-125	129	34	the	the	DET
fis-125	129	35	bar	bar	NOUN
fis-125	129	36	.	.	PUNCT
fis-125	130	1	the	the	DET
fis-125	130	2	total	total	ADJ
fis-125	130	3	energy	energy	NOUN
fis-125	130	4	spent	spend	VERB
fis-125	130	5	to	to	PART
fis-125	130	6	obtain	obtain	VERB
fis-125	130	7	a	a	DET
fis-125	130	8	full	full	ADJ
fis-125	130	9	damaged	damaged	ADJ
fis-125	130	10	state	state	NOUN
fis-125	130	11	is	be	AUX
fis-125	130	12	equal	equal	ADJ
fis-125	130	13	to	to	ADP
fis-125	130	14	(	(	PUNCT
fis-125	130	15	1)w	1)w	NUM
fis-125	130	16	l	l	NOUN
fis-125	130	17	and	and	CCONJ
fis-125	130	18	hence	hence	ADV
fis-125	130	19	is	be	AUX
fis-125	130	20	finite	finite	ADJ
fis-125	130	21	by	by	ADP
fis-125	130	22	virtue	virtue	NOUN
fis-125	130	23	of	of	ADP
fis-125	130	24	hypothesis	hypothesis	NOUN
fis-125	130	25	1	1	NUM
fis-125	130	26	.	.	PUNCT
fis-125	131	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	131	2	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	131	3	k.	k.	PROPN
fis-125	131	4	pham	pham	PROPN
fis-125	131	5	et	et	PROPN
fis-125	131	6	alii	alii	PROPN
fis-125	131	7	,	,	PUNCT
fis-125	131	8	frattura	frattura	PROPN
fis-125	131	9	ed	ed	PROPN
fis-125	131	10	integrità	integrità	PROPN
fis-125	131	11	strutturale	strutturale	PROPN
fis-125	131	12	,	,	PUNCT
fis-125	131	13	19	19	NUM
fis-125	131	14	(	(	PUNCT
fis-125	131	15	2012	2012	NUM
fis-125	131	16	)	)	PUNCT
fis-125	131	17	5	5	NUM
fis-125	131	18	-	-	SYM
fis-125	131	19	19	19	NUM
fis-125	131	20	;	;	PUNCT
fis-125	131	21	doi	doi	NOUN
fis-125	131	22	:	:	PUNCT
fis-125	131	23	10.3221	10.3221	NUM
fis-125	131	24	/	/	SYM
fis-125	131	25	igf	igf	PROPN
fis-125	131	26	-	-	PUNCT
fis-125	131	27	esis.19.01	esis.19.01	PROPN
fis-125	131	28	10	10	NUM
fis-125	131	29	the	the	DET
fis-125	131	30	non	non	ADJ
fis-125	131	31	local	local	ADJ
fis-125	131	32	term	term	NOUN
fis-125	131	33	has	have	VERB
fis-125	131	34	no	no	DET
fis-125	131	35	influence	influence	NOUN
fis-125	131	36	on	on	ADP
fis-125	131	37	the	the	DET
fis-125	131	38	homogeneous	homogeneous	ADJ
fis-125	131	39	solution	solution	NOUN
fis-125	131	40	which	which	PRON
fis-125	131	41	is	be	AUX
fis-125	131	42	solution	solution	NOUN
fis-125	131	43	both	both	PRON
fis-125	131	44	for	for	ADP
fis-125	131	45	the	the	DET
fis-125	131	46	gradient	gradient	NOUN
fis-125	131	47	and	and	CCONJ
fis-125	131	48	the	the	DET
fis-125	131	49	local	local	ADJ
fis-125	131	50	damage	damage	NOUN
fis-125	131	51	models	model	NOUN
fis-125	131	52	.	.	PUNCT
fis-125	132	1	let	let	VERB
fis-125	132	2	us	we	PRON
fis-125	132	3	now	now	ADV
fis-125	132	4	examine	examine	VERB
fis-125	132	5	the	the	DET
fis-125	132	6	issue	issue	NOUN
fis-125	132	7	of	of	ADP
fis-125	132	8	the	the	DET
fis-125	132	9	uniqueness	uniqueness	NOUN
fis-125	132	10	of	of	ADP
fis-125	132	11	the	the	DET
fis-125	132	12	response	response	NOUN
fis-125	132	13	.	.	PUNCT
fis-125	133	1	in	in	ADP
fis-125	133	2	the	the	DET
fis-125	133	3	case	case	NOUN
fis-125	133	4	of	of	ADP
fis-125	133	5	the	the	DET
fis-125	133	6	local	local	ADJ
fis-125	133	7	damage	damage	NOUN
fis-125	133	8	model	model	NOUN
fis-125	133	9	,	,	PUNCT
fis-125	133	10	it	it	PRON
fis-125	133	11	is	be	AUX
fis-125	133	12	well	well	ADV
fis-125	133	13	known	know	VERB
fis-125	133	14	that	that	SCONJ
fis-125	133	15	the	the	DET
fis-125	133	16	evolution	evolution	NOUN
fis-125	133	17	problem	problem	NOUN
fis-125	133	18	admits	admit	VERB
fis-125	133	19	an	an	DET
fis-125	133	20	infinite	infinite	ADJ
fis-125	133	21	number	number	NOUN
fis-125	133	22	of	of	ADP
fis-125	133	23	solution	solution	NOUN
fis-125	133	24	.	.	PUNCT
fis-125	134	1	does	do	AUX
fis-125	134	2	the	the	DET
fis-125	134	3	gradient	gradient	ADJ
fis-125	134	4	term	term	NOUN
fis-125	134	5	force	force	VERB
fis-125	134	6	the	the	DET
fis-125	134	7	uniqueness	uniqueness	NOUN
fis-125	134	8	?	?	PUNCT
fis-125	135	1	the	the	DET
fis-125	135	2	answer	answer	NOUN
fis-125	135	3	to	to	ADP
fis-125	135	4	this	this	DET
fis-125	135	5	fundamental	fundamental	ADJ
fis-125	135	6	question	question	NOUN
fis-125	135	7	essentially	essentially	ADV
fis-125	135	8	depends	depend	VERB
fis-125	135	9	on	on	ADP
fis-125	135	10	the	the	DET
fis-125	135	11	ratio	ratio	NOUN
fis-125	135	12	/	/	PUNCT
fis-125	136	1	l	l	NOUN
fis-125	136	2	of	of	ADP
fis-125	136	3	the	the	DET
fis-125	136	4	internal	internal	ADJ
fis-125	136	5	length	length	NOUN
fis-125	136	6	with	with	ADP
fis-125	136	7	the	the	DET
fis-125	136	8	bar	bar	NOUN
fis-125	136	9	length	length	NOUN
fis-125	136	10	,	,	PUNCT
fis-125	136	11	as	as	SCONJ
fis-125	136	12	it	it	PRON
fis-125	136	13	is	be	AUX
fis-125	136	14	proved	prove	VERB
fis-125	136	15	in	in	ADP
fis-125	136	16	[	[	X
fis-125	136	17	1	1	X
fis-125	136	18	]	]	PUNCT
fis-125	136	19	in	in	ADP
fis-125	136	20	the	the	DET
fis-125	136	21	case	case	NOUN
fis-125	136	22	=	=	NOUN
fis-125	136	23	2p	2p	NOUN
fis-125	136	24	,	,	PUNCT
fis-125	136	25	=	=	SYM
fis-125	136	26	0q	0q	NOUN
fis-125	136	27	of	of	ADP
fis-125	136	28	example	example	NOUN
fis-125	136	29	2	2	X
fis-125	136	30	.	.	PUNCT
fis-125	136	31	specifically	specifically	ADV
fis-125	136	32	it	it	PRON
fis-125	136	33	was	be	AUX
fis-125	136	34	shown	show	VERB
fis-125	136	35	that	that	SCONJ
fis-125	136	36	the	the	DET
fis-125	136	37	homogeneous	homogeneous	ADJ
fis-125	136	38	solution	solution	NOUN
fis-125	136	39	is	be	AUX
fis-125	136	40	the	the	DET
fis-125	136	41	unique	unique	ADJ
fis-125	136	42	solution	solution	NOUN
fis-125	136	43	of	of	ADP
fis-125	136	44	the	the	DET
fis-125	136	45	evolution	evolution	NOUN
fis-125	136	46	problem	problem	NOUN
fis-125	136	47	when	when	SCONJ
fis-125	136	48	0	0	NUM
fis-125	136	49	0	0	NUM
fis-125	136	50			PROPN
fis-125	136	51	l	l	PROPN
fis-125	136	52	e	e	NOUN
fis-125	136	53	,	,	PUNCT
fis-125	136	54	i.e.	i.e.	X
fis-125	136	55	when	when	SCONJ
fis-125	136	56	the	the	DET
fis-125	136	57	bar	bar	NOUN
fis-125	136	58	is	be	AUX
fis-125	136	59	small	small	ADJ
fis-125	136	60	enough	enough	ADV
fis-125	136	61	,	,	PUNCT
fis-125	136	62	while	while	SCONJ
fis-125	136	63	there	there	PRON
fis-125	136	64	exists	exist	VERB
fis-125	136	65	an	an	DET
fis-125	136	66	infinite	infinite	ADJ
fis-125	136	67	number	number	NOUN
fis-125	136	68	of	of	ADP
fis-125	136	69	solutions	solution	NOUN
fis-125	136	70	otherwise	otherwise	ADV
fis-125	136	71	.	.	PUNCT
fis-125	137	1	however	however	ADV
fis-125	137	2	,	,	PUNCT
fis-125	137	3	when	when	SCONJ
fis-125	137	4	the	the	DET
fis-125	137	5	bar	bar	NOUN
fis-125	137	6	is	be	AUX
fis-125	137	7	long	long	ADV
fis-125	137	8	enough	enough	ADV
fis-125	137	9	,	,	PUNCT
fis-125	137	10	although	although	SCONJ
fis-125	137	11	the	the	DET
fis-125	137	12	number	number	NOUN
fis-125	137	13	of	of	ADP
fis-125	137	14	solutions	solution	NOUN
fis-125	137	15	is	be	AUX
fis-125	137	16	infinite	infinite	ADJ
fis-125	137	17	,	,	PUNCT
fis-125	137	18	the	the	DET
fis-125	137	19	fundamental	fundamental	ADJ
fis-125	137	20	difference	difference	NOUN
fis-125	137	21	between	between	ADP
fis-125	137	22	the	the	DET
fis-125	137	23	local	local	ADJ
fis-125	137	24	and	and	CCONJ
fis-125	137	25	the	the	DET
fis-125	137	26	gradient	gradient	NOUN
fis-125	137	27	models	model	NOUN
fis-125	137	28	is	be	AUX
fis-125	137	29	that	that	SCONJ
fis-125	137	30	the	the	DET
fis-125	137	31	length	length	NOUN
fis-125	137	32	of	of	ADP
fis-125	137	33	the	the	DET
fis-125	137	34	damaged	damage	VERB
fis-125	137	35	zone	zone	NOUN
fis-125	137	36	is	be	AUX
fis-125	137	37	bounded	bound	VERB
fis-125	137	38	from	from	ADP
fis-125	137	39	below	below	ADP
fis-125	137	40	for	for	ADP
fis-125	137	41	the	the	DET
fis-125	137	42	gradient	gradient	NOUN
fis-125	137	43	model	model	NOUN
fis-125	137	44	while	while	SCONJ
fis-125	137	45	it	it	PRON
fis-125	137	46	can	can	AUX
fis-125	137	47	be	be	AUX
fis-125	137	48	chosen	choose	VERB
fis-125	137	49	arbitrarily	arbitrarily	ADV
fis-125	137	50	small	small	ADJ
fis-125	137	51	for	for	ADP
fis-125	137	52	the	the	DET
fis-125	137	53	local	local	ADJ
fis-125	137	54	model	model	NOUN
fis-125	137	55	.	.	PUNCT
fis-125	138	1	the	the	DET
fis-125	138	2	main	main	ADJ
fis-125	138	3	goal	goal	NOUN
fis-125	138	4	of	of	ADP
fis-125	138	5	the	the	DET
fis-125	138	6	next	next	ADJ
fis-125	138	7	section	section	NOUN
fis-125	138	8	is	be	AUX
fis-125	138	9	to	to	PART
fis-125	138	10	extend	extend	VERB
fis-125	138	11	these	these	DET
fis-125	138	12	results	result	NOUN
fis-125	138	13	for	for	ADP
fis-125	138	14	a	a	DET
fis-125	138	15	large	large	ADJ
fis-125	138	16	class	class	NOUN
fis-125	138	17	of	of	ADP
fis-125	138	18	gradient	gradient	NOUN
fis-125	138	19	models	model	NOUN
fis-125	138	20	and	and	CCONJ
fis-125	138	21	to	to	PART
fis-125	138	22	study	study	VERB
fis-125	138	23	the	the	DET
fis-125	138	24	properties	property	NOUN
fis-125	138	25	of	of	ADP
fis-125	138	26	non	non	ADJ
fis-125	138	27	homogeneous	homogeneous	ADJ
fis-125	138	28	solutions	solution	NOUN
fis-125	138	29	.	.	PUNCT
fis-125	139	1	let	let	VERB
fis-125	139	2	us	we	PRON
fis-125	139	3	remark	remark	VERB
fis-125	139	4	that	that	SCONJ
fis-125	139	5	any	any	DET
fis-125	139	6	solution	solution	NOUN
fis-125	139	7	of	of	ADP
fis-125	139	8	the	the	DET
fis-125	139	9	evolution	evolution	NOUN
fis-125	139	10	problem	problem	NOUN
fis-125	139	11	contains	contain	VERB
fis-125	139	12	the	the	DET
fis-125	139	13	same	same	ADJ
fis-125	139	14	elastic	elastic	ADJ
fis-125	139	15	phase	phase	NOUN
fis-125	139	16	,	,	PUNCT
fis-125	139	17	i.e.	i.e.	X
fis-125	139	18	=	=	SYM
fis-125	139	19	0t	0t	PROPN
fis-125	139	20	as	as	ADV
fis-125	139	21	long	long	ADV
fis-125	139	22	as	as	ADP
fis-125	139	23	0t	0t	NUM
fis-125	139	24	.	.	PUNCT
fis-125	140	1	therefore	therefore	ADV
fis-125	140	2	,	,	PUNCT
fis-125	140	3	localizations	localization	NOUN
fis-125	140	4	can	can	AUX
fis-125	140	5	appear	appear	VERB
fis-125	140	6	only	only	ADV
fis-125	140	7	when	when	SCONJ
fis-125	140	8	0	0	NUM
fis-125	140	9	>	>	X
fis-125	140	10	t	t	PROPN
fis-125	140	11	.	.	PUNCT
fis-125	141	1	example	example	NOUN
fis-125	141	2	3	3	NUM
fis-125	141	3	for	for	ADP
fis-125	141	4	the	the	DET
fis-125	141	5	family	family	NOUN
fis-125	141	6	of	of	ADP
fis-125	141	7	models	model	NOUN
fis-125	141	8	of	of	ADP
fis-125	141	9	example	example	NOUN
fis-125	141	10	1	1	NUM
fis-125	141	11	,	,	PUNCT
fis-125	141	12	the	the	DET
fis-125	141	13	homogeneous	homogeneous	ADJ
fis-125	141	14	response	response	NOUN
fis-125	141	15	is	be	AUX
fis-125	141	16	given	give	VERB
fis-125	141	17	by	by	ADP
fis-125	141	18	0	0	NUM
fis-125	141	19	0	0	NUM
fis-125	141	20	0	0	NUM
fis-125	141	21	2	2	NUM
fis-125	141	22	<	<	X
fis-125	141	23	=	=	SYM
fis-125	141	24	0	0	PUNCT
fis-125	141	25	<	<	X
fis-125	141	26	=	=	PUNCT
fis-125	142	1	=	=	SYM
fis-125	142	2	=	=	SYM
fis-125	142	3	1	1	NUM
fis-125	142	4			NOUN
fis-125	142	5			PROPN
fis-125	142	6			PROPN
fis-125	142	7			PROPN
fis-125	142	8			PROPN
fis-125	142	9			PROPN
fis-125	142	10			PROPN
fis-125	142	11			PROPN
fis-125	142	12			X
fis-125	142	13			PROPN
fis-125	142	14			VERB
fis-125	142	15			PROPN
fis-125	142	16			PROPN
fis-125	142	17			PROPN
fis-125	142	18			PROPN
fis-125	142	19			PROPN
fis-125	142	20			PROPN
fis-125	142	21			VERB
fis-125	142	22			NOUN
fis-125	142	23			NOUN
fis-125	142	24			ADV
fis-125	142	25			ADP
fis-125	143	1			NUM
fis-125	143	2			NUM
fis-125	143	3			NUM
fis-125	143	4			NUM
fis-125	143	5			NUM
fis-125	143	6			NUM
fis-125	143	7			NOUN
fis-125	143	8			PROPN
fis-125	143	9			NOUN
fis-125	143	10			PROPN
fis-125	143	11			NUM
fis-125	143	12			NUM
fis-125	143	13			PROPN
fis-125	143	14			VERB
fis-125	143	15			PROPN
fis-125	143	16			PROPN
fis-125	143	17			PUNCT
fis-125	143	18			NUM
fis-125	143	19			PROPN
fis-125	143	20			NUM
fis-125	143	21			PROPN
fis-125	143	22			PROPN
fis-125	144	1			PROPN
fis-125	144	2	c	c	NOUN
fis-125	145	1	c	c	NOUN
fis-125	145	2	c	c	NOUN
fis-125	145	3	c	c	NOUN
fis-125	145	4	p	p	NOUN
fis-125	145	5	q	q	X
fis-125	145	6	p	p	X
fis-125	145	7	q	q	X
fis-125	145	8	p	p	X
fis-125	145	9	q	q	X
fis-125	145	10	c	c	NOUN
fis-125	145	11	c	c	NOUN
fis-125	145	12	c	c	NOUN
fis-125	145	13	c	c	NOUN
fis-125	145	14	c	c	NOUN
fis-125	145	15	e	e	NOUN
fis-125	145	16	if	if	SCONJ
fis-125	145	17	if	if	SCONJ
fis-125	145	18	e	e	PROPN
fis-125	145	19	e	e	NOUN
fis-125	145	20	and	and	CCONJ
fis-125	145	21	if	if	SCONJ
fis-125	145	22	if	if	SCONJ
fis-125	145	23	since	since	SCONJ
fis-125	145	24	>	>	X
fis-125	145	25	>	>	X
fis-125	145	26	0q	0q	PROPN
fis-125	145	27	p	p	X
fis-125	145	28	,	,	PUNCT
fis-125	145	29	the	the	DET
fis-125	145	30	stress	stress	NOUN
fis-125	145	31	is	be	AUX
fis-125	145	32	a	a	DET
fis-125	145	33	decreasing	decrease	VERB
fis-125	145	34	function	function	NOUN
fis-125	145	35	of	of	ADP
fis-125	145	36	the	the	DET
fis-125	145	37	strain	strain	NOUN
fis-125	145	38	in	in	ADP
fis-125	145	39	the	the	DET
fis-125	145	40	damaging	damaging	ADJ
fis-125	145	41	phase	phase	NOUN
fis-125	145	42	what	what	PRON
fis-125	145	43	corresponds	correspond	VERB
fis-125	145	44	to	to	ADP
fis-125	145	45	a	a	DET
fis-125	145	46	property	property	NOUN
fis-125	145	47	of	of	ADP
fis-125	145	48	softening	soften	VERB
fis-125	145	49	.	.	PUNCT
fis-125	146	1	for	for	ADP
fis-125	146	2	a	a	DET
fis-125	146	3	given	give	VERB
fis-125	146	4	>	>	X
fis-125	146	5	0p	0p	NOUN
fis-125	146	6	,	,	PUNCT
fis-125	146	7	the	the	DET
fis-125	146	8	exponent	exponent	NOUN
fis-125	146	9	of	of	ADP
fis-125	146	10	the	the	DET
fis-125	146	11	power	power	NOUN
fis-125	146	12	law	law	NOUN
fis-125	146	13	goes	go	VERB
fis-125	146	14	from	from	ADP
fis-125	146	15			NOUN
fis-125	146	16	to	to	ADP
fis-125	146	17	1	1	NUM
fis-125	146	18	when	when	SCONJ
fis-125	146	19	q	q	NOUN
fis-125	146	20	goes	go	VERB
fis-125	146	21	from	from	ADP
fis-125	146	22	p	p	NOUN
fis-125	146	23	to	to	ADP
fis-125	146	24			ADJ
fis-125	146	25	.	.	PUNCT
fis-125	147	1	the	the	DET
fis-125	147	2	area	area	NOUN
fis-125	147	3	under	under	ADP
fis-125	147	4	the	the	DET
fis-125	147	5	curve	curve	NOUN
fis-125	147	6	,	,	PUNCT
fis-125	147	7	i.e.	i.e.	X
fis-125	147	8	the	the	DET
fis-125	147	9	energy	energy	NOUN
fis-125	147	10	dissipated	dissipate	VERB
fis-125	147	11	during	during	ADP
fis-125	147	12	the	the	DET
fis-125	147	13	full	full	ADJ
fis-125	147	14	process	process	NOUN
fis-125	147	15	of	of	ADP
fis-125	147	16	homogeneous	homogeneous	ADJ
fis-125	147	17	damage	damage	NOUN
fis-125	147	18	,	,	PUNCT
fis-125	147	19	is	be	AUX
fis-125	147	20	finite	finite	INTJ
fis-125	147	21	what	what	PRON
fis-125	147	22	corresponds	correspond	VERB
fis-125	147	23	to	to	ADP
fis-125	147	24	a	a	DET
fis-125	147	25	strongly	strongly	ADV
fis-125	147	26	brittle	brittle	ADJ
fis-125	147	27	behavior	behavior	NOUN
fis-125	147	28	,	,	PUNCT
fis-125	147	29	see	see	VERB
fis-125	147	30	[	[	X
fis-125	147	31	12	12	NUM
fis-125	147	32	]	]	PUNCT
fis-125	147	33	.	.	PUNCT
fis-125	148	1	in	in	ADP
fis-125	148	2	the	the	DET
fis-125	148	3	limit	limit	NOUN
fis-125	148	4	case	case	NOUN
fis-125	148	5	where	where	SCONJ
fis-125	148	6	=	=	PRON
fis-125	148	7	p	p	X
fis-125	148	8	q	q	X
fis-125	148	9	,	,	PUNCT
fis-125	148	10	the	the	DET
fis-125	148	11	damage	damage	NOUN
fis-125	148	12	evolves	evolve	VERB
fis-125	148	13	while	while	SCONJ
fis-125	148	14	the	the	DET
fis-125	148	15	strain	strain	NOUN
fis-125	148	16	remains	remain	VERB
fis-125	148	17	constant	constant	ADJ
fis-125	148	18	and	and	CCONJ
fis-125	148	19	equal	equal	ADJ
fis-125	148	20	to	to	ADP
fis-125	148	21			PROPN
fis-125	148	22	c	c	NOUN
fis-125	148	23	.	.	PUNCT
fis-125	149	1	that	that	PRON
fis-125	149	2	corresponds	correspond	VERB
fis-125	149	3	to	to	ADP
fis-125	149	4	a	a	DET
fis-125	149	5	perfectly	perfectly	ADV
fis-125	149	6	brittle	brittle	ADJ
fis-125	149	7	behavior	behavior	NOUN
fis-125	149	8	,	,	PUNCT
fis-125	149	9	see	see	VERB
fis-125	149	10	fig	fig	NOUN
fis-125	149	11	.	.	PUNCT
fis-125	150	1	1	1	X
fis-125	150	2	.	.	X
fis-125	150	3	in	in	ADP
fis-125	150	4	the	the	DET
fis-125	150	5	limit	limit	NOUN
fis-125	150	6	case	case	NOUN
fis-125	150	7	where	where	SCONJ
fis-125	150	8	=	=	PUNCT
fis-125	150	9	0p	0p	X
fis-125	150	10	or	or	CCONJ
fis-125	150	11	=	=	SYM
fis-125	150	12	q	q	PROPN
fis-125	150	13	,	,	PUNCT
fis-125	150	14	the	the	DET
fis-125	150	15	stress	stress	NOUN
fis-125	150	16	-	-	PUNCT
fis-125	150	17	strain	strain	NOUN
fis-125	150	18	curve	curve	NOUN
fis-125	150	19	is	be	AUX
fis-125	150	20	an	an	DET
fis-125	150	21	arc	arc	NOUN
fis-125	150	22	of	of	ADP
fis-125	150	23	hyperbola	hyperbola	PROPN
fis-125	150	24	in	in	ADP
fis-125	150	25	its	its	PRON
fis-125	150	26	softening	soften	VERB
fis-125	150	27	part	part	NOUN
fis-125	150	28	.	.	PUNCT
fis-125	151	1	the	the	DET
fis-125	151	2	area	area	NOUN
fis-125	151	3	under	under	ADP
fis-125	151	4	the	the	DET
fis-125	151	5	curve	curve	NOUN
fis-125	151	6	,	,	PUNCT
fis-125	151	7	i.e.	i.e.	X
fis-125	151	8	the	the	DET
fis-125	151	9	energy	energy	NOUN
fis-125	151	10	dissipated	dissipate	VERB
fis-125	151	11	during	during	ADP
fis-125	151	12	the	the	DET
fis-125	151	13	full	full	ADJ
fis-125	151	14	process	process	NOUN
fis-125	151	15	of	of	ADP
fis-125	151	16	homogeneous	homogeneous	ADJ
fis-125	151	17	damage	damage	NOUN
fis-125	151	18	,	,	PUNCT
fis-125	151	19	is	be	AUX
fis-125	151	20	infinite	infinite	ADJ
fis-125	151	21	.	.	PUNCT
fis-125	152	1	this	this	DET
fis-125	152	2	change	change	NOUN
fis-125	152	3	of	of	ADP
fis-125	152	4	the	the	DET
fis-125	152	5	boundedness	boundedness	NOUN
fis-125	152	6	of	of	ADP
fis-125	152	7	the	the	DET
fis-125	152	8	dissipated	dissipate	VERB
fis-125	152	9	energy	energy	NOUN
fis-125	152	10	marks	mark	NOUN
fis-125	152	11	the	the	DET
fis-125	152	12	transition	transition	NOUN
fis-125	152	13	between	between	ADP
fis-125	152	14	a	a	DET
fis-125	152	15	strongly	strongly	ADV
fis-125	152	16	brittle	brittle	ADJ
fis-125	152	17	and	and	CCONJ
fis-125	152	18	a	a	DET
fis-125	152	19	weakly	weakly	ADJ
fis-125	152	20	brittle	brittle	ADJ
fis-125	152	21	behavior	behavior	NOUN
fis-125	152	22	,	,	PUNCT
fis-125	152	23	see	see	VERB
fis-125	152	24	[	[	X
fis-125	152	25	12	12	NUM
fis-125	152	26	]	]	PUNCT
fis-125	152	27	.	.	PUNCT
fis-125	153	1	figure	figure	NOUN
fis-125	153	2	1	1	NUM
fis-125	153	3	:	:	PUNCT
fis-125	153	4	left	leave	VERB
fis-125	153	5	:	:	PUNCT
fis-125	153	6	the	the	DET
fis-125	153	7	stress	stress	NOUN
fis-125	153	8	-	-	PUNCT
fis-125	153	9	strain	strain	NOUN
fis-125	153	10	response	response	NOUN
fis-125	153	11	(	(	PUNCT
fis-125	153	12	black	black	ADJ
fis-125	153	13	curve	curve	NOUN
fis-125	153	14	)	)	PUNCT
fis-125	153	15	associated	associate	VERB
fis-125	153	16	with	with	ADP
fis-125	153	17	the	the	DET
fis-125	153	18	homogeneous	homogeneous	ADJ
fis-125	153	19	evolution	evolution	NOUN
fis-125	153	20	in	in	ADP
fis-125	153	21	the	the	DET
fis-125	153	22	case	case	NOUN
fis-125	153	23	of	of	ADP
fis-125	153	24	the	the	DET
fis-125	153	25	models	model	NOUN
fis-125	153	26	of	of	ADP
fis-125	153	27	example	example	NOUN
fis-125	153	28	1	1	NUM
fis-125	153	29	with	with	ADP
fis-125	153	30	>	>	X
fis-125	153	31	>	>	X
fis-125	153	32	0q	0q	PROPN
fis-125	153	33	p	p	X
fis-125	153	34	.	.	PUNCT
fis-125	154	1	the	the	DET
fis-125	154	2	limit	limit	NOUN
fis-125	154	3	cases	case	NOUN
fis-125	154	4	of	of	ADP
fis-125	154	5	perfectly	perfectly	ADV
fis-125	154	6	brittle	brittle	ADJ
fis-125	154	7	material	material	NOUN
fis-125	154	8	(	(	PUNCT
fis-125	154	9	=	=	NOUN
fis-125	154	10	p	p	NOUN
fis-125	154	11	q	q	X
fis-125	154	12	)	)	PUNCT
fis-125	154	13	and	and	CCONJ
fis-125	154	14	weakly	weakly	ADV
fis-125	154	15	brittle	brittle	ADJ
fis-125	154	16	material	material	NOUN
fis-125	154	17	(	(	PUNCT
fis-125	154	18	=	=	SYM
fis-125	154	19	0p	0p	NUM
fis-125	154	20	)	)	PUNCT
fis-125	154	21	are	be	AUX
fis-125	154	22	in	in	ADP
fis-125	154	23	gray	gray	ADJ
fis-125	154	24	.	.	PUNCT
fis-125	155	1	right	right	ADJ
fis-125	155	2	:	:	PUNCT
fis-125	155	3	graphical	graphical	ADJ
fis-125	155	4	interpretation	interpretation	NOUN
fis-125	155	5	of	of	ADP
fis-125	155	6	the	the	DET
fis-125	155	7	dissipated	dissipate	VERB
fis-125	155	8	energy	energy	NOUN
fis-125	155	9	at	at	ADP
fis-125	155	10	the	the	DET
fis-125	155	11	end	end	NOUN
fis-125	155	12	of	of	ADP
fis-125	155	13	a	a	DET
fis-125	155	14	homogeneous	homogeneous	ADJ
fis-125	155	15	damage	damage	NOUN
fis-125	155	16	process	process	NOUN
fis-125	155	17	.	.	PUNCT
fis-125	156	1	non	non	PRON
fis-125	156	2	homogeneous	homogeneous	ADJ
fis-125	156	3	solutions	solution	NOUN
fis-125	156	4	of	of	ADP
fis-125	156	5	the	the	DET
fis-125	156	6	damage	damage	NOUN
fis-125	156	7	problem	problem	NOUN
fis-125	156	8	the	the	DET
fis-125	156	9	method	method	NOUN
fis-125	156	10	of	of	ADP
fis-125	156	11	construction	construction	NOUN
fis-125	156	12	of	of	ADP
fis-125	156	13	non	non	ADJ
fis-125	156	14	homogeneous	homogeneous	ADJ
fis-125	156	15	solutions	solution	NOUN
fis-125	156	16	et	et	VERB
fis-125	156	17	us	we	PRON
fis-125	156	18	consider	consider	VERB
fis-125	156	19	one	one	NUM
fis-125	156	20	solution	solution	NOUN
fis-125	156	21	of	of	ADP
fis-125	156	22	the	the	DET
fis-125	156	23	evolution	evolution	NOUN
fis-125	156	24	problem	problem	NOUN
fis-125	156	25	.	.	PUNCT
fis-125	157	1	setting	set	VERB
fis-125	157	2	l	l	PROPN
fis-125	157	3	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	157	4	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	157	5	k.	k.	PROPN
fis-125	157	6	pham	pham	PROPN
fis-125	157	7	et	et	PROPN
fis-125	157	8	alii	alii	PROPN
fis-125	157	9	,	,	PUNCT
fis-125	157	10	frattura	frattura	PROPN
fis-125	157	11	ed	ed	PROPN
fis-125	157	12	integrità	integrità	PROPN
fis-125	157	13	strutturale	strutturale	PROPN
fis-125	157	14	,	,	PUNCT
fis-125	157	15	19	19	NUM
fis-125	157	16	(	(	PUNCT
fis-125	157	17	2012	2012	NUM
fis-125	157	18	)	)	PUNCT
fis-125	157	19	5	5	NUM
fis-125	157	20	-	-	SYM
fis-125	157	21	19	19	NUM
fis-125	157	22	;	;	PUNCT
fis-125	157	23	doi	doi	NOUN
fis-125	157	24	:	:	PUNCT
fis-125	157	25	10.3221	10.3221	NUM
fis-125	157	26	/	/	SYM
fis-125	157	27	igf	igf	PROPN
fis-125	157	28	-	-	PUNCT
fis-125	157	29	esis.19.01	esis.19.01	ADJ
fis-125	157	30	11	11	NUM
fis-125	157	31	0	0	NUM
fis-125	157	32	0	0	NUM
fis-125	157	33	2	2	NUM
fis-125	157	34	(	(	PUNCT
fis-125	157	35	0	0	NUM
fis-125	157	36	)	)	PUNCT
fis-125	157	37	:	:	PUNCT
fis-125	158	1	=	=	SYM
fis-125	158	2	=	=	SYM
fis-125	158	3	(	(	PUNCT
fis-125	158	4	0	0	NUM
fis-125	158	5	)	)	PUNCT
fis-125	158	6	(	(	PUNCT
fis-125	158	7	0	0	NUM
fis-125	158	8	)	)	PUNCT
fis-125	158	9			PROPN
fis-125	158	10			NOUN
fis-125	158	11			ADJ
fis-125	158	12			ADV
fis-125	158	13	w	w	PROPN
fis-125	158	14	e	e	NOUN
fis-125	158	15	s	s	X
fis-125	158	16	(	(	PUNCT
fis-125	158	17	20	20	NUM
fis-125	158	18	)	)	PUNCT
fis-125	158	19	we	we	PRON
fis-125	158	20	deduce	deduce	VERB
fis-125	158	21	from	from	ADP
fis-125	158	22	(	(	PUNCT
fis-125	158	23	14	14	NUM
fis-125	158	24	)	)	PUNCT
fis-125	158	25	,	,	PUNCT
fis-125	158	26	that	that	SCONJ
fis-125	158	27	00	00	NUM
fis-125	158	28			PROPN
fis-125	158	29			NUM
fis-125	158	30	t	t	NOUN
fis-125	158	31	.	.	PUNCT
fis-125	159	1	indeed	indeed	ADV
fis-125	159	2	,	,	PUNCT
fis-125	159	3	0	0	NUM
fis-125	159	4	t	t	NOUN
fis-125	159	5	by	by	ADP
fis-125	159	6	virtue	virtue	NOUN
fis-125	159	7	of	of	ADP
fis-125	159	8	(	(	PUNCT
fis-125	159	9	5	5	NUM
fis-125	159	10	)	)	PUNCT
fis-125	159	11	and	and	CCONJ
fis-125	159	12	(	(	PUNCT
fis-125	159	13	11	11	NUM
fis-125	159	14	)	)	PUNCT
fis-125	159	15	.	.	PUNCT
fis-125	160	1	then	then	ADV
fis-125	160	2	,	,	PUNCT
fis-125	160	3	integrating	integrate	VERB
fis-125	160	4	(	(	PUNCT
fis-125	160	5	14	14	NUM
fis-125	160	6	)	)	PUNCT
fis-125	160	7	over	over	ADP
fis-125	160	8	(	(	PUNCT
fis-125	160	9	0	0	NUM
fis-125	160	10	,	,	PUNCT
fis-125	160	11	)	)	PUNCT
fis-125	160	12	l	l	NOUN
fis-125	160	13	and	and	CCONJ
fis-125	160	14	using	use	VERB
fis-125	160	15	the	the	DET
fis-125	160	16	boundary	boundary	ADJ
fis-125	160	17	conditions	condition	NOUN
fis-125	160	18	(	(	PUNCT
fis-125	160	19	0	0	NUM
fis-125	160	20	)	)	PUNCT
fis-125	160	21	=	=	PRON
fis-125	160	22	(	(	PUNCT
fis-125	160	23	)	)	PUNCT
fis-125	160	24	=	=	SYM
fis-125	160	25	0	0	PROPN
fis-125	160	26			X
fis-125	160	27	t	t	CCONJ
fis-125	160	28	t	t	PROPN
fis-125	160	29	l	l	NOUN
fis-125	160	30	,	,	PUNCT
fis-125	160	31	we	we	PRON
fis-125	160	32	obtain	obtain	VERB
fis-125	160	33	2	2	NUM
fis-125	160	34	0	0	NUM
fis-125	160	35	0	0	NUM
fis-125	161	1	(	(	PUNCT
fis-125	161	2	(	(	PUNCT
fis-125	161	3	)	)	PUNCT
fis-125	161	4	)	)	PUNCT
fis-125	161	5	2	2	NUM
fis-125	161	6	(	(	PUNCT
fis-125	161	7	(	(	PUNCT
fis-125	161	8	)	)	PUNCT
fis-125	161	9	)	)	PUNCT
fis-125	161	10			PROPN
fis-125	161	11			NOUN
fis-125	161	12			X
fis-125	161	13			NOUN
fis-125	161	14			PUNCT
fis-125	162	1	l	l	NOUN
fis-125	162	2	l	l	NOUN
fis-125	162	3	t	t	NOUN
fis-125	162	4	t	t	X
fis-125	162	5	ts	ts	X
fis-125	162	6	x	x	PROPN
fis-125	162	7	dx	dx	PROPN
fis-125	162	8	w	w	PROPN
fis-125	162	9	x	x	X
fis-125	162	10	dx	dx	PROPN
fis-125	162	11	(	(	PUNCT
fis-125	162	12	21	21	NUM
fis-125	162	13	)	)	PUNCT
fis-125	162	14	but	but	CCONJ
fis-125	162	15	,	,	PUNCT
fis-125	162	16	since	since	SCONJ
fis-125	162	17	/	/	PUNCT
fis-125	163	1	w	w	PROPN
fis-125	163	2	s	s	VERB
fis-125	163	3	is	be	AUX
fis-125	163	4	a	a	DET
fis-125	163	5	decreasing	decrease	VERB
fis-125	163	6	function	function	NOUN
fis-125	163	7	of	of	ADP
fis-125	163	8			NOUN
fis-125	163	9	by	by	ADP
fis-125	163	10	virtue	virtue	NOUN
fis-125	163	11	of	of	ADP
fis-125	163	12	hypothesis	hypothesis	NOUN
fis-125	163	13	1	1	NUM
fis-125	163	14	and	and	CCONJ
fis-125	163	15	since	since	SCONJ
fis-125	163	16	0	0	ADJ
fis-125	163	17	t	t	NOUN
fis-125	163	18	by	by	ADP
fis-125	163	19	virtue	virtue	NOUN
fis-125	163	20	of	of	ADP
fis-125	163	21	the	the	DET
fis-125	163	22	irreversibility	irreversibility	NOUN
fis-125	163	23	condition	condition	NOUN
fis-125	163	24	,	,	PUNCT
fis-125	163	25	we	we	PRON
fis-125	163	26	have	have	VERB
fis-125	163	27	2	2	NUM
fis-125	163	28	02	02	NUM
fis-125	163	29	(	(	PUNCT
fis-125	163	30	(	(	PUNCT
fis-125	163	31	)	)	PUNCT
fis-125	163	32	)	)	PUNCT
fis-125	163	33	(	(	PUNCT
fis-125	163	34	(	(	PUNCT
fis-125	163	35	)	)	PUNCT
fis-125	163	36	)	)	PUNCT
fis-125	163	37	,	,	PUNCT
fis-125	163	38	(	(	PUNCT
fis-125	163	39	0	0	NUM
fis-125	163	40	,	,	PUNCT
fis-125	163	41	)	)	PUNCT
fis-125	163	42			X
fis-125	163	43			X
fis-125	163	44			X
fis-125	163	45			NOUN
fis-125	163	46			VERB
fis-125	163	47	t	t	NOUN
fis-125	163	48	tw	tw	NOUN
fis-125	163	49	x	x	SYM
fis-125	163	50	s	s	NOUN
fis-125	163	51	x	x	X
fis-125	163	52	x	x	SYM
fis-125	163	53	l	l	NOUN
fis-125	163	54	integrating	integrate	VERB
fis-125	163	55	over	over	ADP
fis-125	163	56	(	(	PUNCT
fis-125	163	57	0	0	NUM
fis-125	163	58	,	,	PUNCT
fis-125	163	59	)	)	PUNCT
fis-125	163	60	l	l	NOUN
fis-125	163	61	and	and	CCONJ
fis-125	163	62	inserting	insert	VERB
fis-125	163	63	the	the	DET
fis-125	163	64	result	result	NOUN
fis-125	163	65	into	into	ADP
fis-125	163	66	(	(	PUNCT
fis-125	163	67	21	21	NUM
fis-125	163	68	)	)	PUNCT
fis-125	163	69	gives	give	VERB
fis-125	163	70	2	2	NUM
fis-125	163	71	2	2	NUM
fis-125	163	72	0	0	NUM
fis-125	163	73	t	t	ADJ
fis-125	163	74	.	.	PUNCT
fis-125	164	1	therefore	therefore	ADV
fis-125	164	2	0	0	NUM
fis-125	164	3	is	be	AUX
fis-125	164	4	the	the	DET
fis-125	164	5	maximal	maximal	ADJ
fis-125	164	6	stress	stress	NOUN
fis-125	164	7	that	that	SCONJ
fis-125	164	8	the	the	DET
fis-125	164	9	material	material	NOUN
fis-125	164	10	can	can	AUX
fis-125	164	11	sustain	sustain	VERB
fis-125	164	12	.	.	PUNCT
fis-125	165	1	the	the	DET
fis-125	165	2	point	point	NOUN
fis-125	165	3	of	of	ADP
fis-125	165	4	departure	departure	NOUN
fis-125	165	5	in	in	ADP
fis-125	165	6	the	the	DET
fis-125	165	7	construction	construction	NOUN
fis-125	165	8	of	of	ADP
fis-125	165	9	localized	localized	ADJ
fis-125	165	10	damage	damage	NOUN
fis-125	165	11	solutions	solution	NOUN
fis-125	165	12	is	be	AUX
fis-125	165	13	to	to	PART
fis-125	165	14	seek	seek	VERB
fis-125	165	15	for	for	ADP
fis-125	165	16	solutions	solution	NOUN
fis-125	165	17	for	for	ADP
fis-125	165	18	which	which	PRON
fis-125	165	19	the	the	DET
fis-125	165	20	equality	equality	NOUN
fis-125	165	21	in	in	ADP
fis-125	165	22	(	(	PUNCT
fis-125	165	23	14	14	NUM
fis-125	165	24	)	)	PUNCT
fis-125	165	25	holds	hold	VERB
fis-125	165	26	only	only	ADV
fis-125	165	27	in	in	ADP
fis-125	165	28	some	some	DET
fis-125	165	29	parts	part	NOUN
fis-125	165	30	of	of	ADP
fis-125	165	31	the	the	DET
fis-125	165	32	bar	bar	NOUN
fis-125	165	33	.	.	PUNCT
fis-125	166	1	for	for	ADP
fis-125	166	2	a	a	DET
fis-125	166	3	given	give	VERB
fis-125	166	4	0	0	NUM
fis-125	166	5	>	>	X
fis-125	166	6	t	t	X
fis-125	166	7	,	,	PUNCT
fis-125	166	8	the	the	DET
fis-125	166	9	localized	localized	ADJ
fis-125	166	10	damage	damage	NOUN
fis-125	166	11	field	field	NOUN
fis-125	166	12	will	will	AUX
fis-125	166	13	be	be	AUX
fis-125	166	14	characterized	characterize	VERB
fis-125	166	15	by	by	ADP
fis-125	166	16	its	its	PRON
fis-125	166	17	set	set	NOUN
fis-125	166	18	=	=	NOUN
fis-125	166	19			NOUN
fis-125	166	20	i	i	NOUN
fis-125	166	21	t	t	NOUN
fis-125	166	22	ti	ti	NOUN
fis-125	166	23			VERB
fis-125	166	24			NOUN
fis-125	166	25	of	of	ADP
fis-125	166	26	localization	localization	NOUN
fis-125	166	27	zones	zone	NOUN
fis-125	166	28	i	i	PRON
fis-125	167	1	t	t	VERB
fis-125	167	2	where	where	SCONJ
fis-125	167	3	i	i	PRON
fis-125	167	4	t	t	VERB
fis-125	167	5	is	be	AUX
fis-125	167	6	an	an	DET
fis-125	167	7	open	open	ADJ
fis-125	167	8	interval	interval	NOUN
fis-125	167	9	of	of	ADP
fis-125	167	10	[	[	X
fis-125	167	11	0	0	NUM
fis-125	167	12	,	,	PUNCT
fis-125	167	13	]	]	X
fis-125	167	14	l	l	NOUN
fis-125	167	15	of	of	ADP
fis-125	167	16	the	the	DET
fis-125	167	17	form	form	NOUN
fis-125	167	18	(	(	PUNCT
fis-125	167	19	,	,	PUNCT
fis-125	167	20	)	)	PUNCT
fis-125	168	1			PROPN
fis-125	168	2	i	i	PROPN
fis-125	168	3	t	t	PROPN
fis-125	169	1	i	i	PRON
fis-125	169	2	tx	tx	VERB
fis-125	170	1	d	d	X
fis-125	170	2	x	x	X
fis-125	170	3	d	d	X
fis-125	170	4	(	(	PUNCT
fis-125	170	5	the	the	DET
fis-125	170	6	independence	independence	NOUN
fis-125	170	7	of	of	ADP
fis-125	170	8	its	its	PRON
fis-125	170	9	length	length	NOUN
fis-125	170	10	on	on	ADP
fis-125	170	11	i	i	PRON
fis-125	170	12	will	will	AUX
fis-125	170	13	be	be	AUX
fis-125	170	14	proved	prove	VERB
fis-125	170	15	)	)	PUNCT
fis-125	170	16	.	.	PUNCT
fis-125	171	1	in	in	ADP
fis-125	171	2	[	[	X
fis-125	171	3	0	0	NUM
fis-125	171	4	,	,	PUNCT
fis-125	171	5	]	]	PUNCT
fis-125	171	6	\	\	PROPN
fis-125	171	7	tl	tl	PROPN
fis-125	171	8			PROPN
fis-125	171	9	,	,	PUNCT
fis-125	171	10	the	the	DET
fis-125	171	11	material	material	NOUN
fis-125	171	12	is	be	AUX
fis-125	171	13	supposed	suppose	VERB
fis-125	171	14	to	to	PART
fis-125	171	15	be	be	AUX
fis-125	171	16	sound	sound	ADJ
fis-125	171	17	and	and	CCONJ
fis-125	171	18	therefore	therefore	ADV
fis-125	171	19	these	these	DET
fis-125	171	20	parts	part	NOUN
fis-125	171	21	will	will	AUX
fis-125	171	22	correspond	correspond	VERB
fis-125	171	23	to	to	ADP
fis-125	171	24	elastic	elastic	ADJ
fis-125	171	25	zones	zone	NOUN
fis-125	171	26	where	where	SCONJ
fis-125	171	27	=	=	PROPN
fis-125	171	28	0t	0t	PROPN
fis-125	171	29	.	.	PUNCT
fis-125	172	1	by	by	ADP
fis-125	172	2	sake	sake	NOUN
fis-125	172	3	of	of	ADP
fis-125	172	4	simplicity	simplicity	NOUN
fis-125	172	5	,	,	PUNCT
fis-125	172	6	we	we	PRON
fis-125	172	7	will	will	AUX
fis-125	172	8	not	not	PART
fis-125	172	9	consider	consider	VERB
fis-125	172	10	localization	localization	NOUN
fis-125	172	11	zones	zone	NOUN
fis-125	172	12	centered	center	VERB
fis-125	172	13	at	at	ADP
fis-125	172	14	the	the	DET
fis-125	172	15	boundary	boundary	NOUN
fis-125	172	16	of	of	ADP
fis-125	172	17	(	(	PUNCT
fis-125	172	18	0	0	NUM
fis-125	172	19	,	,	PUNCT
fis-125	172	20	)	)	PUNCT
fis-125	172	21	l	l	NOUN
fis-125	172	22	,	,	PUNCT
fis-125	172	23	i.e.	i.e.	X
fis-125	172	24	with	with	ADP
fis-125	172	25	=	=	SYM
fis-125	172	26	0ix	0ix	NOUN
fis-125	172	27	or	or	CCONJ
fis-125	172	28	=	=	NOUN
fis-125	172	29	ix	ix	ADJ
fis-125	172	30	l	l	NOUN
fis-125	172	31	.	.	PUNCT
fis-125	173	1	therefore	therefore	ADV
fis-125	173	2	,	,	PUNCT
fis-125	173	3	we	we	PRON
fis-125	173	4	force	force	VERB
fis-125	173	5	the	the	DET
fis-125	173	6	damage	damage	NOUN
fis-125	173	7	to	to	PART
fis-125	173	8	vanish	vanish	VERB
fis-125	173	9	at	at	ADP
fis-125	173	10	=	=	PROPN
fis-125	173	11	0x	0x	NOUN
fis-125	173	12	and	and	CCONJ
fis-125	174	1	=	=	NOUN
fis-125	174	2	x	x	SYM
fis-125	174	3	l	l	NOUN
fis-125	174	4	.	.	PUNCT
fis-125	175	1	the	the	DET
fis-125	175	2	successive	successive	ADJ
fis-125	175	3	steps	step	NOUN
fis-125	175	4	of	of	ADP
fis-125	175	5	the	the	DET
fis-125	175	6	construction	construction	NOUN
fis-125	175	7	are	be	AUX
fis-125	175	8	as	as	SCONJ
fis-125	175	9	follows	follow	VERB
fis-125	175	10	:	:	PUNCT
fis-125	175	11	1	1	X
fis-125	175	12	.	.	X
fis-125	175	13	for	for	ADP
fis-125	175	14	a	a	DET
fis-125	175	15	given	give	VERB
fis-125	175	16	t	t	NOUN
fis-125	175	17	,	,	PUNCT
fis-125	175	18	assuming	assume	VERB
fis-125	175	19	that	that	SCONJ
fis-125	175	20			PROPN
fis-125	175	21	t	t	PROPN
fis-125	175	22	is	be	AUX
fis-125	175	23	known	know	VERB
fis-125	175	24	,	,	PUNCT
fis-125	175	25	we	we	PRON
fis-125	175	26	determine	determine	VERB
fis-125	175	27	the	the	DET
fis-125	175	28	profile	profile	NOUN
fis-125	175	29	of	of	ADP
fis-125	175	30	the	the	DET
fis-125	175	31	damage	damage	NOUN
fis-125	175	32	field	field	NOUN
fis-125	175	33	in	in	ADP
fis-125	175	34	a	a	DET
fis-125	175	35	localization	localization	NOUN
fis-125	175	36	zone	zone	NOUN
fis-125	175	37	;	;	PUNCT
fis-125	175	38	2	2	X
fis-125	175	39	.	.	X
fis-125	175	40	for	for	ADP
fis-125	175	41	a	a	DET
fis-125	175	42	given	give	VERB
fis-125	175	43	t	t	NOUN
fis-125	175	44	,	,	PUNCT
fis-125	175	45	we	we	PRON
fis-125	175	46	obtain	obtain	VERB
fis-125	175	47	the	the	DET
fis-125	175	48	relation	relation	NOUN
fis-125	175	49	between	between	ADP
fis-125	175	50			PROPN
fis-125	175	51	t	t	PROPN
fis-125	175	52	and	and	CCONJ
fis-125	175	53	tu	tu	PROPN
fis-125	175	54	;	;	PUNCT
fis-125	175	55	3	3	X
fis-125	175	56	.	.	X
fis-125	175	57	we	we	PRON
fis-125	175	58	check	check	VERB
fis-125	175	59	the	the	DET
fis-125	175	60	irreversibility	irreversibility	NOUN
fis-125	175	61	condition	condition	NOUN
fis-125	175	62	.	.	PUNCT
fis-125	176	1	damage	damage	NOUN
fis-125	176	2	profile	profile	NOUN
fis-125	176	3	in	in	ADP
fis-125	176	4	a	a	DET
fis-125	176	5	localization	localization	NOUN
fis-125	176	6	zone	zone	NOUN
fis-125	176	7	since	since	SCONJ
fis-125	176	8	t	t	PROPN
fis-125	176	9	is	be	AUX
fis-125	176	10	fixed	fix	VERB
fis-125	176	11	,	,	PUNCT
fis-125	176	12	we	we	PRON
fis-125	176	13	omit	omit	VERB
fis-125	176	14	the	the	DET
fis-125	176	15	index	index	NOUN
fis-125	176	16	t	t	NOUN
fis-125	176	17	in	in	ADP
fis-125	176	18	all	all	DET
fis-125	176	19	quantities	quantity	NOUN
fis-125	176	20	which	which	PRON
fis-125	176	21	are	be	AUX
fis-125	176	22	time	time	NOUN
fis-125	176	23	-	-	PUNCT
fis-125	176	24	dependent	dependent	ADJ
fis-125	176	25	.	.	PUNCT
fis-125	177	1	let	let	VERB
fis-125	177	2	0(0	0(0	PROPN
fis-125	177	3	,	,	PUNCT
fis-125	177	4	)	)	PUNCT
fis-125	177	5			X
fis-125	177	6			PRON
fis-125	177	7	be	be	AUX
fis-125	177	8	the	the	DET
fis-125	177	9	supposed	suppose	VERB
fis-125	177	10	known	know	VERB
fis-125	177	11	stress	stress	NOUN
fis-125	177	12	and	and	CCONJ
fis-125	177	13	=	=	SYM
fis-125	177	14	(	(	PUNCT
fis-125	177	15	,	,	PUNCT
fis-125	177	16	)	)	PUNCT
fis-125	178	1			NOUN
fis-125	178	2	i	i	ADV
fis-125	178	3	i	i	PRON
fis-125	178	4	ix	ix	VERB
fis-125	178	5	d	d	X
fis-125	178	6	x	x	X
fis-125	178	7	d	d	PROPN
fis-125	178	8	be	be	AUX
fis-125	178	9	a	a	DET
fis-125	178	10	putative	putative	ADJ
fis-125	178	11	localization	localization	NOUN
fis-125	178	12	zone	zone	NOUN
fis-125	178	13	.	.	PUNCT
fis-125	179	1	the	the	DET
fis-125	179	2	damage	damage	NOUN
fis-125	179	3	field	field	NOUN
fis-125	179	4			PRON
fis-125	179	5	must	must	AUX
fis-125	179	6	satisfy	satisfy	VERB
fis-125	179	7	2	2	NUM
fis-125	179	8	2	2	NUM
fis-125	179	9	0	0	NUM
fis-125	179	10	(	(	PUNCT
fis-125	179	11	)	)	PUNCT
fis-125	179	12	2	2	NUM
fis-125	179	13	(	(	PUNCT
fis-125	179	14	)	)	PUNCT
fis-125	179	15	2	2	NUM
fis-125	179	16	=	=	SYM
fis-125	179	17	0	0	NUM
fis-125	179	18	.	.	PROPN
fis-125	179	19			X
fis-125	179	20			X
fis-125	179	21			X
fis-125	179	22			PROPN
fis-125	179	23			PROPN
fis-125	179	24			PUNCT
fis-125	179	25			PROPN
fis-125	179	26			VERB
fis-125	179	27	is	be	AUX
fis-125	179	28	w	w	NOUN
fis-125	179	29	e	e	NOUN
fis-125	179	30	in	in	ADP
fis-125	179	31			PROPN
fis-125	179	32	(	(	PUNCT
fis-125	179	33	22	22	NUM
fis-125	179	34	)	)	PUNCT
fis-125	179	35	since	since	SCONJ
fis-125	179	36	we	we	PRON
fis-125	179	37	assume	assume	VERB
fis-125	179	38	by	by	ADP
fis-125	179	39	construction	construction	NOUN
fis-125	179	40	that	that	SCONJ
fis-125	179	41	the	the	DET
fis-125	179	42	localization	localization	NOUN
fis-125	179	43	zone	zone	NOUN
fis-125	179	44	is	be	AUX
fis-125	179	45	matched	match	VERB
fis-125	179	46	to	to	ADP
fis-125	179	47	an	an	DET
fis-125	179	48	elastic	elastic	ADJ
fis-125	179	49	zone	zone	NOUN
fis-125	179	50	and	and	CCONJ
fis-125	179	51	since	since	SCONJ
fis-125	179	52			NOUN
fis-125	179	53	and	and	CCONJ
fis-125	179	54			PUNCT
fis-125	179	55	must	must	AUX
fis-125	179	56	be	be	AUX
fis-125	179	57	continuous	continuous	ADJ
fis-125	179	58	,	,	PUNCT
fis-125	179	59	see	see	VERB
fis-125	179	60	remark	remark	NOUN
fis-125	179	61	1	1	NUM
fis-125	179	62	,	,	PUNCT
fis-125	179	63	the	the	DET
fis-125	179	64	damage	damage	NOUN
fis-125	179	65	field	field	NOUN
fis-125	179	66	has	have	VERB
fis-125	179	67	also	also	ADV
fis-125	179	68	to	to	PART
fis-125	179	69	satisfy	satisfy	VERB
fis-125	179	70	the	the	DET
fis-125	179	71	boundary	boundary	ADJ
fis-125	179	72	conditions	condition	NOUN
fis-125	179	73	(	(	PUNCT
fis-125	179	74	)	)	PUNCT
fis-125	179	75	=	=	SYM
fis-125	179	76	(	(	PUNCT
fis-125	179	77	)	)	PUNCT
fis-125	179	78	=	=	SYM
fis-125	180	1	0.	0.	PROPN
fis-125	180	2			PROPN
fis-125	180	3	i	i	PROPN
fis-125	180	4	ix	ix	PROPN
fis-125	181	1	d	d	X
fis-125	181	2	x	x	SYM
fis-125	181	3	d	d	X
fis-125	181	4	(	(	PUNCT
fis-125	181	5	23	23	NUM
fis-125	181	6	)	)	PUNCT
fis-125	181	7	multiplying	multiplying	NOUN
fis-125	181	8	(	(	PUNCT
fis-125	181	9	22	22	NUM
fis-125	181	10	)	)	PUNCT
fis-125	181	11	by	by	ADP
fis-125	181	12			NOUN
fis-125	181	13	and	and	CCONJ
fis-125	181	14	integrating	integrate	VERB
fis-125	181	15	with	with	ADP
fis-125	181	16	respect	respect	NOUN
fis-125	181	17	to	to	ADP
fis-125	181	18	x	x	SYM
fis-125	181	19	,	,	PUNCT
fis-125	181	20	we	we	PRON
fis-125	181	21	obtain	obtain	VERB
fis-125	181	22	the	the	DET
fis-125	181	23	first	first	ADJ
fis-125	181	24	integral	integral	ADJ
fis-125	181	25	2	2	NUM
fis-125	181	26	2	2	NUM
fis-125	181	27	2	2	NUM
fis-125	181	28	0	0	NUM
fis-125	181	29	(	(	PUNCT
fis-125	181	30	)	)	PUNCT
fis-125	181	31	2	2	NUM
fis-125	181	32	(	(	PUNCT
fis-125	181	33	)	)	PUNCT
fis-125	182	1	=	=	NOUN
fis-125	182	2			X
fis-125	182	3			X
fis-125	182	4			X
fis-125	182	5			PROPN
fis-125	182	6			ADV
fis-125	182	7			NOUN
fis-125	182	8			X
fis-125	182	9	is	be	AUX
fis-125	182	10	w	w	NOUN
fis-125	182	11	e	e	PROPN
fis-125	182	12	c	c	NOUN
fis-125	182	13	in	in	ADP
fis-125	182	14			PROPN
fis-125	182	15	(	(	PUNCT
fis-125	182	16	24	24	NUM
fis-125	182	17	)	)	PUNCT
fis-125	182	18	where	where	SCONJ
fis-125	182	19	c	c	NOUN
fis-125	182	20	is	be	AUX
fis-125	182	21	a	a	DET
fis-125	182	22	constant	constant	ADJ
fis-125	182	23	.	.	PUNCT
fis-125	183	1	using	use	VERB
fis-125	183	2	(	(	PUNCT
fis-125	183	3	23	23	NUM
fis-125	183	4	)	)	PUNCT
fis-125	183	5	and	and	CCONJ
fis-125	183	6	hypothesis	hypothesis	NOUN
fis-125	183	7	1	1	NUM
fis-125	183	8	,	,	PUNCT
fis-125	183	9	we	we	PRON
fis-125	183	10	get	get	VERB
fis-125	183	11	2	2	NUM
fis-125	183	12	0=	0=	NUM
fis-125	183	13	/c	/c	PUNCT
fis-125	184	1	e	e	NOUN
fis-125	184	2	and	and	CCONJ
fis-125	184	3	(	(	PUNCT
fis-125	184	4	24	24	NUM
fis-125	184	5	)	)	PUNCT
fis-125	184	6	can	can	AUX
fis-125	184	7	read	read	VERB
fis-125	184	8	as	as	ADP
fis-125	184	9	2	2	NUM
fis-125	184	10	2	2	NUM
fis-125	184	11	(	(	PUNCT
fis-125	184	12	)	)	PUNCT
fis-125	184	13	=	=	SYM
fis-125	184	14	(	(	PUNCT
fis-125	184	15	,	,	PUNCT
fis-125	184	16	(	(	PUNCT
fis-125	184	17	)	)	PUNCT
fis-125	184	18	)	)	PUNCT
fis-125	184	19			X
fis-125	184	20			X
fis-125	184	21			ADJ
fis-125	184	22	ix	ix	ADP
fis-125	184	23	h	h	NOUN
fis-125	184	24	x	x	PUNCT
fis-125	184	25	in	in	ADP
fis-125	184	26			NOUN
fis-125	184	27	(	(	PUNCT
fis-125	184	28	25	25	NUM
fis-125	184	29	)	)	PUNCT
fis-125	184	30	with	with	ADP
fis-125	184	31	2	2	NUM
fis-125	184	32	0	0	NUM
fis-125	184	33	0	0	NUM
fis-125	184	34	1	1	NUM
fis-125	184	35	(	(	PUNCT
fis-125	184	36	,	,	PUNCT
fis-125	184	37	)	)	PUNCT
fis-125	184	38	:	:	PUNCT
fis-125	185	1	=	=	SYM
fis-125	185	2	2	2	NUM
fis-125	185	3	(	(	PUNCT
fis-125	185	4	)	)	PUNCT
fis-125	185	5	(	(	PUNCT
fis-125	185	6	)	)	PUNCT
fis-125	186	1	[	[	X
fis-125	186	2	0,1)	0,1)	NUM
fis-125	186	3			PROPN
fis-125	186	4			PROPN
fis-125	186	5			PROPN
fis-125	186	6			PROPN
fis-125	186	7			PROPN
fis-125	186	8			NOUN
fis-125	186	9			PROPN
fis-125	186	10			PROPN
fis-125	186	11			PROPN
fis-125	186	12			PROPN
fis-125	186	13			PROPN
fis-125	186	14			PROPN
fis-125	186	15			NOUN
fis-125	186	16	e	e	NOUN
fis-125	186	17	h	h	NOUN
fis-125	186	18	w	w	PROPN
fis-125	186	19	s	s	PROPN
fis-125	186	20	for	for	ADP
fis-125	186	21	e	e	X
fis-125	186	22	(	(	PUNCT
fis-125	186	23	26	26	NUM
fis-125	186	24	)	)	PUNCT
fis-125	186	25	since	since	SCONJ
fis-125	186	26	2	2	NUM
fis-125	186	27	0	0	NUM
fis-125	186	28	(	(	PUNCT
fis-125	186	29	,	,	PUNCT
fis-125	186	30	)	)	PUNCT
fis-125	186	31	=	=	SYM
fis-125	186	32	2	2	NUM
fis-125	186	33	(	(	PUNCT
fis-125	186	34	)	)	PUNCT
fis-125	186	35	(	(	PUNCT
fis-125	186	36	)	)	PUNCT
fis-125	186	37			PROPN
fis-125	186	38			PROPN
fis-125	186	39			PROPN
fis-125	186	40			PROPN
fis-125	186	41			PROPN
fis-125	186	42			PROPN
fis-125	186	43			ADJ
fis-125	186	44			CCONJ
fis-125	186	45			PROPN
fis-125	186	46			ADJ
fis-125	186	47	h	h	NOUN
fis-125	186	48	e	e	PROPN
fis-125	186	49	w	w	PROPN
fis-125	186	50	s	s	X
fis-125	186	51	and	and	CCONJ
fis-125	186	52	since	since	ADV
fis-125	186	53	,	,	PUNCT
fis-125	186	54	by	by	ADP
fis-125	186	55	virtue	virtue	NOUN
fis-125	186	56	of	of	ADP
fis-125	186	57	hypothesis	hypothesis	NOUN
fis-125	186	58	1	1	NUM
fis-125	186	59	,	,	PUNCT
fis-125	186	60	(	(	PUNCT
fis-125	186	61	)	)	PUNCT
fis-125	186	62	>	>	PUNCT
fis-125	186	63	0w	0w	NOUN
fis-125	186	64	and	and	CCONJ
fis-125	186	65	2	2	NUM
fis-125	186	66	(	(	PUNCT
fis-125	186	67	)	)	PUNCT
fis-125	186	68	1	1	NUM
fis-125	186	69	2	2	NUM
fis-125	186	70	(	(	PUNCT
fis-125	186	71	)	)	PUNCT
fis-125	186	72			PROPN
fis-125	186	73			PROPN
fis-125	186	74			PROPN
fis-125	186	75			PROPN
fis-125	186	76			PROPN
fis-125	186	77			PROPN
fis-125	186	78	s	s	PART
fis-125	186	79	w	w	NOUN
fis-125	186	80	decreases	decrease	NOUN
fis-125	186	81	from	from	ADP
fis-125	186	82	2	2	NUM
fis-125	186	83	2	2	NUM
fis-125	186	84	01	01	NUM
fis-125	186	85	/	/	SYM
fis-125	186	86	>	>	X
fis-125	186	87	0	0	NUM
fis-125	186	88			ADJ
fis-125	186	89	to	to	ADP
fis-125	186	90			NOUN
fis-125	186	91	when	when	SCONJ
fis-125	186	92			PROPN
fis-125	186	93	grows	grow	VERB
fis-125	186	94	from	from	ADP
fis-125	186	95	0	0	NUM
fis-125	186	96	to	to	ADP
fis-125	186	97	1	1	NUM
fis-125	186	98	,	,	PUNCT
fis-125	186	99	h	h	NOUN
fis-125	186	100	is	be	AUX
fis-125	186	101	first	first	ADV
fis-125	186	102	increasing	increase	VERB
fis-125	186	103	from	from	ADP
fis-125	186	104	0	0	NUM
fis-125	186	105	,	,	PUNCT
fis-125	186	106	then	then	ADV
fis-125	186	107	decreasing	decrease	VERB
fis-125	186	108	to	to	ADP
fis-125	186	109			NOUN
fis-125	186	110	.	.	PUNCT
fis-125	187	1	hence	hence	ADV
fis-125	187	2	,	,	PUNCT
fis-125	187	3	there	there	PRON
fis-125	187	4	exists	exist	VERB
fis-125	187	5	a	a	DET
fis-125	187	6	unique	unique	ADJ
fis-125	187	7	positive	positive	ADJ
fis-125	187	8	value	value	NOUN
fis-125	187	9	of	of	ADP
fis-125	187	10			PROPN
fis-125	187	11	,	,	PUNCT
fis-125	187	12	say	say	VERB
fis-125	187	13	(	(	PUNCT
fis-125	187	14	)	)	PUNCT
fis-125	187	15			X
fis-125	187	16			PROPN
fis-125	187	17	,	,	PUNCT
fis-125	187	18	where	where	SCONJ
fis-125	187	19	h	h	NOUN
fis-125	187	20	vanishes	vanish	VERB
fis-125	187	21	:	:	PUNCT
fis-125	187	22	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	187	23	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	187	24	k.	k.	PROPN
fis-125	187	25	pham	pham	PROPN
fis-125	187	26	et	et	PROPN
fis-125	187	27	alii	alii	PROPN
fis-125	187	28	,	,	PUNCT
fis-125	187	29	frattura	frattura	PROPN
fis-125	187	30	ed	ed	PROPN
fis-125	187	31	integrità	integrità	PROPN
fis-125	187	32	strutturale	strutturale	PROPN
fis-125	187	33	,	,	PUNCT
fis-125	187	34	19	19	NUM
fis-125	187	35	(	(	PUNCT
fis-125	187	36	2012	2012	NUM
fis-125	187	37	)	)	PUNCT
fis-125	187	38	5	5	NUM
fis-125	187	39	-	-	SYM
fis-125	187	40	19	19	NUM
fis-125	187	41	;	;	PUNCT
fis-125	187	42	doi	doi	NOUN
fis-125	187	43	:	:	PUNCT
fis-125	187	44	10.3221	10.3221	NUM
fis-125	187	45	/	/	SYM
fis-125	187	46	igf	igf	PROPN
fis-125	187	47	-	-	PUNCT
fis-125	187	48	esis.19.01	esis.19.01	PROPN
fis-125	187	49	12	12	NUM
fis-125	187	50	(	(	PUNCT
fis-125	187	51	,	,	PUNCT
fis-125	187	52	(	(	PUNCT
fis-125	187	53	)	)	PUNCT
fis-125	187	54	)	)	PUNCT
fis-125	188	1	=	=	PUNCT
fis-125	188	2	0	0	NUM
fis-125	188	3	,	,	PUNCT
fis-125	188	4	0	0	NUM
fis-125	188	5	<	<	X
fis-125	188	6	(	(	PUNCT
fis-125	188	7	)	)	PUNCT
fis-125	189	1	<	<	X
fis-125	189	2	1	1	NUM
fis-125	189	3			NOUN
fis-125	189	4			PROPN
fis-125	189	5			X
fis-125	189	6	h	h	PROPN
fis-125	189	7	(	(	PUNCT
fis-125	189	8	27	27	NUM
fis-125	189	9	)	)	PUNCT
fis-125	189	10	(	(	PUNCT
fis-125	189	11	)	)	PUNCT
fis-125	189	12			X
fis-125	189	13			NUM
fis-125	189	14	corresponds	correspond	VERB
fis-125	189	15	to	to	ADP
fis-125	189	16	the	the	DET
fis-125	189	17	maximal	maximal	ADJ
fis-125	189	18	value	value	NOUN
fis-125	189	19	of	of	ADP
fis-125	189	20	the	the	DET
fis-125	189	21	damage	damage	NOUN
fis-125	189	22	(	(	PUNCT
fis-125	189	23	at	at	ADP
fis-125	189	24	the	the	DET
fis-125	189	25	given	give	VERB
fis-125	189	26	time	time	NOUN
fis-125	189	27	)	)	PUNCT
fis-125	189	28	,	,	PUNCT
fis-125	189	29	taken	take	VERB
fis-125	189	30	at	at	ADP
fis-125	189	31	the	the	DET
fis-125	189	32	center	center	NOUN
fis-125	189	33	of	of	ADP
fis-125	189	34	the	the	DET
fis-125	189	35	localization	localization	NOUN
fis-125	189	36	zone	zone	NOUN
fis-125	189	37	.	.	PUNCT
fis-125	190	1	therefore	therefore	ADV
fis-125	190	2	,	,	PUNCT
fis-125	190	3	we	we	PRON
fis-125	190	4	have	have	AUX
fis-125	190	5	obtained	obtain	VERB
fis-125	190	6	the	the	DET
fis-125	190	7	property	property	NOUN
fis-125	190	8	2	2	NUM
fis-125	190	9	(	(	PUNCT
fis-125	190	10	profile	profile	NOUN
fis-125	190	11	of	of	ADP
fis-125	190	12	a	a	DET
fis-125	190	13	localized	localized	ADJ
fis-125	190	14	damage	damage	NOUN
fis-125	190	15	field	field	NOUN
fis-125	190	16	)	)	PUNCT
fis-125	190	17	for	for	ADP
fis-125	190	18	a	a	DET
fis-125	190	19	given	give	VERB
fis-125	190	20	stress	stress	NOUN
fis-125	190	21	(	(	PUNCT
fis-125	190	22	0	0	NUM
fis-125	190	23	,	,	PUNCT
fis-125	190	24	)	)	PUNCT
fis-125	190	25			PROPN
fis-125	190	26			NUM
fis-125	190	27	c	c	NOUN
fis-125	190	28	,	,	PUNCT
fis-125	190	29	the	the	DET
fis-125	190	30	damage	damage	NOUN
fis-125	190	31	field	field	NOUN
fis-125	190	32	in	in	ADP
fis-125	190	33	an	an	DET
fis-125	190	34	inner	inner	ADJ
fis-125	190	35	localized	localized	ADJ
fis-125	190	36	damage	damage	NOUN
fis-125	190	37	zone	zone	NOUN
fis-125	190	38	(	(	PUNCT
fis-125	190	39	(	(	PUNCT
fis-125	190	40	)	)	PUNCT
fis-125	190	41	,	,	PUNCT
fis-125	190	42	(	(	PUNCT
fis-125	190	43	)	)	PUNCT
fis-125	190	44	)	)	PUNCT
fis-125	190	45			PROPN
fis-125	191	1			PROPN
fis-125	191	2	i	i	PROPN
fis-125	191	3	ix	ix	ADP
fis-125	192	1	d	d	X
fis-125	192	2	x	x	X
fis-125	192	3	d	d	NOUN
fis-125	192	4	is	be	AUX
fis-125	192	5	given	give	VERB
fis-125	192	6	by	by	ADP
fis-125	192	7	(	(	PUNCT
fis-125	192	8	31	31	NUM
fis-125	192	9	)	)	PUNCT
fis-125	192	10	while	while	SCONJ
fis-125	192	11	the	the	DET
fis-125	192	12	half	half	ADJ
fis-125	192	13	-	-	PUNCT
fis-125	192	14	length	length	NOUN
fis-125	192	15	(	(	PUNCT
fis-125	192	16	)	)	PUNCT
fis-125	192	17	d	d	NOUN
fis-125	192	18	of	of	ADP
fis-125	192	19	the	the	DET
fis-125	192	20	localized	localized	ADJ
fis-125	192	21	damage	damage	NOUN
fis-125	192	22	zone	zone	NOUN
fis-125	192	23	is	be	AUX
fis-125	192	24	finite	finite	ADJ
fis-125	192	25	,	,	PUNCT
fis-125	192	26	proportional	proportional	ADJ
fis-125	192	27	to	to	ADP
fis-125	192	28	the	the	DET
fis-125	192	29	internal	internal	ADJ
fis-125	192	30	length	length	NOUN
fis-125	192	31			ADJ
fis-125	192	32	and	and	CCONJ
fis-125	192	33	given	give	VERB
fis-125	192	34	by	by	ADP
fis-125	192	35	(	(	PUNCT
fis-125	192	36	28	28	NUM
fis-125	192	37	)	)	PUNCT
fis-125	192	38	.	.	PUNCT
fis-125	193	1	the	the	DET
fis-125	193	2	damage	damage	NOUN
fis-125	193	3	profile	profile	NOUN
fis-125	193	4	is	be	AUX
fis-125	193	5	symmetric	symmetric	ADJ
fis-125	193	6	with	with	ADP
fis-125	193	7	respect	respect	NOUN
fis-125	193	8	to	to	ADP
fis-125	193	9	the	the	DET
fis-125	193	10	center	center	NOUN
fis-125	193	11	ix	ix	ADP
fis-125	193	12	of	of	ADP
fis-125	193	13	the	the	DET
fis-125	193	14	localized	localized	ADJ
fis-125	193	15	damage	damage	NOUN
fis-125	193	16	zone	zone	NOUN
fis-125	193	17	,	,	PUNCT
fis-125	193	18	maximal	maximal	ADJ
fis-125	193	19	at	at	ADP
fis-125	193	20	the	the	DET
fis-125	193	21	center	center	NOUN
fis-125	193	22	,	,	PUNCT
fis-125	193	23	the	the	DET
fis-125	193	24	maximal	maximal	ADJ
fis-125	193	25	value	value	NOUN
fis-125	193	26	(	(	PUNCT
fis-125	193	27	)	)	PUNCT
fis-125	193	28			X
fis-125	193	29			PRON
fis-125	193	30	being	be	AUX
fis-125	193	31	given	give	VERB
fis-125	193	32	by	by	ADP
fis-125	193	33	(	(	PUNCT
fis-125	193	34	27	27	NUM
fis-125	193	35	)	)	PUNCT
fis-125	193	36	.	.	PUNCT
fis-125	194	1	the	the	DET
fis-125	194	2	damage	damage	NOUN
fis-125	194	3	profile	profile	NOUN
fis-125	194	4	is	be	AUX
fis-125	194	5	a	a	DET
fis-125	194	6	continuously	continuously	ADV
fis-125	194	7	differentiable	differentiable	ADJ
fis-125	194	8	function	function	NOUN
fis-125	194	9	of	of	ADP
fis-125	194	10	x	x	PRON
fis-125	194	11	,	,	PUNCT
fis-125	194	12	decreasing	decrease	VERB
fis-125	194	13	from	from	ADP
fis-125	194	14	(	(	PUNCT
fis-125	194	15	)	)	PUNCT
fis-125	194	16			X
fis-125	194	17			PROPN
fis-125	194	18	at	at	ADP
fis-125	194	19	the	the	DET
fis-125	194	20	center	center	NOUN
fis-125	194	21	to	to	ADP
fis-125	194	22	0	0	NUM
fis-125	194	23	at	at	ADP
fis-125	194	24	the	the	DET
fis-125	194	25	boundary	boundary	NOUN
fis-125	194	26	of	of	ADP
fis-125	194	27	the	the	DET
fis-125	194	28	localized	localized	ADJ
fis-125	194	29	damage	damage	NOUN
fis-125	194	30	zone	zone	NOUN
fis-125	194	31	.	.	PUNCT
fis-125	195	1	the	the	DET
fis-125	195	2	matching	matching	NOUN
fis-125	195	3	with	with	ADP
fis-125	195	4	the	the	DET
fis-125	195	5	undamaged	undamaged	ADJ
fis-125	195	6	part	part	NOUN
fis-125	195	7	of	of	ADP
fis-125	195	8	the	the	DET
fis-125	195	9	bar	bar	NOUN
fis-125	195	10	is	be	AUX
fis-125	195	11	smooth	smooth	ADJ
fis-125	195	12	,	,	PUNCT
fis-125	195	13	the	the	DET
fis-125	195	14	damage	damage	NOUN
fis-125	195	15	and	and	CCONJ
fis-125	195	16	the	the	DET
fis-125	195	17	gradient	gradient	NOUN
fis-125	195	18	of	of	ADP
fis-125	195	19	damage	damage	NOUN
fis-125	195	20	vanishing	vanish	VERB
fis-125	195	21	at	at	ADP
fis-125	195	22	the	the	DET
fis-125	195	23	boundary	boundary	NOUN
fis-125	195	24	of	of	ADP
fis-125	195	25	the	the	DET
fis-125	195	26	localized	localized	ADJ
fis-125	195	27	damage	damage	NOUN
fis-125	195	28	zone	zone	NOUN
fis-125	195	29	,	,	PUNCT
fis-125	195	30	see	see	VERB
fis-125	195	31	fig	fig	NOUN
fis-125	195	32	.	.	PUNCT
fis-125	196	1	2	2	X
fis-125	196	2	.	.	X
fis-125	196	3	figure	figure	NOUN
fis-125	196	4	2	2	NUM
fis-125	196	5	:	:	PUNCT
fis-125	196	6	a	a	DET
fis-125	196	7	typical	typical	ADJ
fis-125	196	8	damage	damage	NOUN
fis-125	196	9	profile	profile	NOUN
fis-125	196	10	in	in	ADP
fis-125	196	11	an	an	DET
fis-125	196	12	inner	inner	ADJ
fis-125	196	13	localization	localization	NOUN
fis-125	196	14	zone	zone	NOUN
fis-125	196	15	and	and	CCONJ
fis-125	196	16	in	in	ADP
fis-125	196	17	a	a	DET
fis-125	196	18	boundary	boundary	ADJ
fis-125	196	19	localization	localization	NOUN
fis-125	196	20	zone	zone	NOUN
fis-125	196	21	when	when	SCONJ
fis-125	196	22	0	0	PUNCT
fis-125	196	23	<	<	X
fis-125	196	24	<	<	X
fis-125	196	25			X
fis-125	196	26			X
fis-125	196	27	c	c	NOUN
fis-125	196	28	concerning	concern	VERB
fis-125	196	29	the	the	DET
fis-125	196	30	dependence	dependence	NOUN
fis-125	196	31	of	of	ADP
fis-125	196	32	(	(	PUNCT
fis-125	196	33	)	)	PUNCT
fis-125	196	34			X
fis-125	196	35			X
fis-125	196	36	on	on	ADP
fis-125	196	37			PROPN
fis-125	196	38	,	,	PUNCT
fis-125	196	39	we	we	PRON
fis-125	196	40	have	have	VERB
fis-125	196	41	:	:	PUNCT
fis-125	196	42	property	property	NOUN
fis-125	196	43	3	3	NUM
fis-125	196	44	(	(	PUNCT
fis-125	196	45	the	the	DET
fis-125	196	46	dependence	dependence	NOUN
fis-125	196	47	on	on	ADP
fis-125	196	48	the	the	DET
fis-125	196	49	stress	stress	NOUN
fis-125	196	50	of	of	ADP
fis-125	196	51	the	the	DET
fis-125	196	52	maximal	maximal	ADJ
fis-125	196	53	value	value	NOUN
fis-125	196	54	of	of	ADP
fis-125	196	55	the	the	DET
fis-125	196	56	damage	damage	NOUN
fis-125	196	57	in	in	ADP
fis-125	196	58	the	the	DET
fis-125	196	59	localization	localization	NOUN
fis-125	196	60	zone	zone	NOUN
fis-125	196	61	.	.	PUNCT
fis-125	196	62	)	)	PUNCT
fis-125	197	1	when	when	SCONJ
fis-125	197	2			PROPN
fis-125	197	3	decreases	decrease	VERB
fis-125	197	4	from	from	ADP
fis-125	197	5	0	0	NUM
fis-125	197	6	to	to	ADP
fis-125	197	7	0	0	NUM
fis-125	197	8	,	,	PUNCT
fis-125	197	9	(	(	PUNCT
fis-125	197	10	)	)	PUNCT
fis-125	197	11			X
fis-125	197	12			NOUN
fis-125	197	13	increases	increase	VERB
fis-125	197	14	from	from	ADP
fis-125	197	15	0	0	NUM
fis-125	197	16	to	to	PART
fis-125	197	17	1	1	NUM
fis-125	197	18	.	.	PUNCT
fis-125	198	1	proof	proof	NOUN
fis-125	198	2	.	.	PUNCT
fis-125	199	1	indeed	indeed	ADV
fis-125	199	2	,	,	PUNCT
fis-125	199	3	let	let	VERB
fis-125	199	4	1	1	NUM
fis-125	199	5	2	2	NUM
fis-125	199	6	00	00	NUM
fis-125	199	7	<	<	X
fis-125	199	8	<	<	X
fis-125	199	9			X
fis-125	199	10			PROPN
fis-125	199	11			PROPN
fis-125	199	12	.	.	PUNCT
fis-125	200	1	since	since	SCONJ
fis-125	200	2	1	1	NUM
fis-125	200	3	1	1	NUM
fis-125	200	4	2	2	NUM
fis-125	200	5	2	2	NUM
fis-125	200	6	1	1	NUM
fis-125	200	7	20	20	NUM
fis-125	200	8	=	=	SYM
fis-125	200	9	(	(	PUNCT
fis-125	200	10	,	,	PUNCT
fis-125	200	11	(	(	PUNCT
fis-125	200	12	)	)	PUNCT
fis-125	200	13	)	)	PUNCT
fis-125	201	1	=	=	PRON
fis-125	201	2	(	(	PUNCT
fis-125	201	3	,	,	PUNCT
fis-125	201	4	(	(	PUNCT
fis-125	201	5	)	)	PUNCT
fis-125	201	6	)	)	PUNCT
fis-125	202	1	<	<	X
fis-125	202	2	(	(	PUNCT
fis-125	202	3	,	,	PUNCT
fis-125	202	4	(	(	PUNCT
fis-125	202	5	)	)	PUNCT
fis-125	202	6	)	)	PUNCT
fis-125	202	7			PROPN
fis-125	202	8			NOUN
fis-125	202	9			X
fis-125	202	10			X
fis-125	202	11			NOUN
fis-125	202	12			X
fis-125	202	13			X
fis-125	202	14			X
fis-125	202	15	h	h	PROPN
fis-125	202	16	h	h	NOUN
fis-125	202	17	h	h	NOUN
fis-125	202	18	,	,	PUNCT
fis-125	202	19	and	and	CCONJ
fis-125	202	20	,	,	PUNCT
fis-125	202	21	since	since	SCONJ
fis-125	202	22	1	1	NUM
fis-125	202	23	(	(	PUNCT
fis-125	202	24	,	,	PUNCT
fis-125	202	25	)	)	PUNCT
fis-125	202	26	<	<	X
fis-125	202	27	0	0	NUM
fis-125	202	28	h	h	ADJ
fis-125	202	29	when	when	SCONJ
fis-125	202	30	1	1	NUM
fis-125	202	31	(	(	PUNCT
fis-125	202	32	)	)	PUNCT
fis-125	202	33	<	<	X
fis-125	202	34	<	<	X
fis-125	202	35	1	1	PROPN
fis-125	202	36			PROPN
fis-125	202	37			NOUN
fis-125	202	38	,	,	PUNCT
fis-125	202	39	we	we	PRON
fis-125	202	40	have	have	VERB
fis-125	202	41	1	1	NUM
fis-125	202	42	2	2	NUM
fis-125	202	43	(	(	PUNCT
fis-125	202	44	)	)	PUNCT
fis-125	202	45	>	>	PUNCT
fis-125	203	1	(	(	PUNCT
fis-125	203	2	)	)	PUNCT
fis-125	203	3			X
fis-125	203	4			X
fis-125	203	5			NOUN
fis-125	203	6			X
fis-125	203	7	.	.	PUNCT
fis-125	204	1	hence	hence	ADV
fis-125	204	2	(	(	PUNCT
fis-125	204	3	)	)	PUNCT
fis-125	204	4			X
fis-125	204	5			NOUN
fis-125	204	6			PROPN
fis-125	204	7	is	be	AUX
fis-125	204	8	decreasing	decrease	VERB
fis-125	204	9	.	.	PUNCT
fis-125	205	1	since	since	SCONJ
fis-125	205	2	0/	0/	NUM
fis-125	205	3	(	(	PUNCT
fis-125	205	4	,	,	PUNCT
fis-125	205	5	)	)	PUNCT
fis-125	205	6	<	<	X
fis-125	205	7	0	0	ADJ
fis-125	205	8			PROPN
fis-125	205	9			NOUN
fis-125	205	10	h	h	VERB
fis-125	205	11	for	for	ADP
fis-125	205	12	>	>	X
fis-125	205	13	0	0	NOUN
fis-125	205	14	,	,	PUNCT
fis-125	205	15	we	we	PRON
fis-125	205	16	have	have	VERB
fis-125	205	17	0	0	NUM
fis-125	205	18	(	(	PUNCT
fis-125	205	19	)	)	PUNCT
fis-125	205	20	=	=	SYM
fis-125	205	21	0	0	PROPN
fis-125	205	22			PUNCT
fis-125	205	23	.	.	PUNCT
fis-125	206	1	let	let	VERB
fis-125	206	2	us	we	PRON
fis-125	206	3	prove	prove	VERB
fis-125	206	4	that	that	SCONJ
fis-125	206	5	0	0	NUM
fis-125	206	6	(	(	PUNCT
fis-125	206	7	)	)	PUNCT
fis-125	206	8	=	=	NOUN
fis-125	206	9	1lim	1lim	NUM
fis-125	206	10			NOUN
fis-125	206	11			X
fis-125	206	12	.	.	PUNCT
fis-125	207	1	let	let	VERB
fis-125	207	2	0=	0=	PRON
fis-125	207	3	(	(	PUNCT
fis-125	207	4	)	)	PUNCT
fis-125	207	5	lim	lim	NOUN
fis-125	207	6			X
fis-125	207	7	m	m	ADV
fis-125	207	8	(	(	PUNCT
fis-125	207	9	the	the	DET
fis-125	207	10	limit	limit	NOUN
fis-125	207	11	exists	exist	VERB
fis-125	207	12	and	and	CCONJ
fis-125	207	13	is	be	AUX
fis-125	207	14	positive	positive	ADJ
fis-125	207	15	since	since	SCONJ
fis-125	207	16	(	(	PUNCT
fis-125	207	17	)	)	PUNCT
fis-125	207	18			X
fis-125	207	19			PROPN
fis-125	207	20	is	be	AUX
fis-125	207	21	decreasing	decrease	VERB
fis-125	207	22	)	)	PUNCT
fis-125	207	23	.	.	PUNCT
fis-125	208	1	if	if	SCONJ
fis-125	208	2	<	<	X
fis-125	208	3	1m	1m	NUM
fis-125	208	4	,	,	PUNCT
fis-125	208	5	passing	pass	VERB
fis-125	208	6	to	to	ADP
fis-125	208	7	the	the	DET
fis-125	208	8	limit	limit	NOUN
fis-125	208	9	in	in	ADP
fis-125	208	10	(	(	PUNCT
fis-125	208	11	27	27	NUM
fis-125	208	12	)	)	PUNCT
fis-125	208	13	when	when	SCONJ
fis-125	208	14			PROPN
fis-125	208	15	goes	go	VERB
fis-125	208	16	to	to	ADP
fis-125	208	17	0	0	NUM
fis-125	208	18	gives	give	VERB
fis-125	208	19	0	0	NUM
fis-125	209	1	=	=	SYM
fis-125	210	1	(	(	PUNCT
fis-125	210	2	0	0	NUM
fis-125	210	3	,	,	PUNCT
fis-125	210	4	)	)	PUNCT
fis-125	210	5	=	=	SYM
fis-125	210	6	2	2	NUM
fis-125	210	7	(	(	PUNCT
fis-125	210	8	)	)	PUNCT
fis-125	210	9			X
fis-125	210	10	m	m	NUM
fis-125	210	11	mh	mh	PROPN
fis-125	210	12	w	w	PROPN
fis-125	210	13	,	,	PUNCT
fis-125	210	14	a	a	DET
fis-125	210	15	contradiction	contradiction	NOUN
fis-125	210	16	.	.	PUNCT
fis-125	211	1	hence	hence	ADV
fis-125	211	2	=	=	X
fis-125	211	3	1m	1m	NUM
fis-125	211	4	.	.	PUNCT
fis-125	212	1	the	the	DET
fis-125	212	2	size	size	NOUN
fis-125	212	3	of	of	ADP
fis-125	212	4	the	the	DET
fis-125	212	5	localization	localization	NOUN
fis-125	212	6	zone	zone	NOUN
fis-125	212	7	is	be	AUX
fis-125	212	8	deduced	deduce	VERB
fis-125	212	9	from	from	ADP
fis-125	212	10	(	(	PUNCT
fis-125	212	11	25	25	NUM
fis-125	212	12	)	)	PUNCT
fis-125	212	13	by	by	ADP
fis-125	212	14	integration	integration	NOUN
fis-125	212	15	.	.	PUNCT
fis-125	213	1	it	it	PRON
fis-125	213	2	depends	depend	VERB
fis-125	213	3	also	also	ADV
fis-125	213	4	on	on	ADP
fis-125	213	5			PUNCT
fis-125	213	6	and	and	CCONJ
fis-125	213	7	is	be	AUX
fis-125	213	8	given	give	VERB
fis-125	213	9	by	by	ADP
fis-125	213	10	(	(	PUNCT
fis-125	213	11	)	)	PUNCT
fis-125	213	12	0	0	NUM
fis-125	214	1	(	(	PUNCT
fis-125	214	2	)	)	PUNCT
fis-125	214	3	=	=	SYM
fis-125	214	4	(	(	PUNCT
fis-125	214	5	,	,	PUNCT
fis-125	214	6	)	)	PUNCT
fis-125	214	7			X
fis-125	214	8			PROPN
fis-125	214	9			NOUN
fis-125	214	10			X
fis-125	214	11			NOUN
fis-125	214	12	d	d	NOUN
fis-125	214	13	d	d	X
fis-125	214	14	h	h	NOUN
fis-125	214	15	(	(	PUNCT
fis-125	214	16	28	28	NUM
fis-125	214	17	)	)	PUNCT
fis-125	214	18	(	(	PUNCT
fis-125	214	19	)	)	PUNCT
fis-125	214	20	d	d	NOUN
fis-125	214	21	is	be	AUX
fis-125	214	22	proportional	proportional	ADJ
fis-125	214	23	to	to	ADP
fis-125	214	24	the	the	DET
fis-125	214	25	internal	internal	ADJ
fis-125	214	26	length	length	NOUN
fis-125	214	27	and	and	CCONJ
fis-125	214	28	is	be	AUX
fis-125	214	29	finite	finite	ADJ
fis-125	214	30	because	because	SCONJ
fis-125	214	31	the	the	DET
fis-125	214	32	integral	integral	ADJ
fis-125	214	33	is	be	AUX
fis-125	214	34	convergent	convergent	ADJ
fis-125	214	35	.	.	PUNCT
fis-125	215	1	(	(	PUNCT
fis-125	215	2	indeed	indeed	ADV
fis-125	215	3	,	,	PUNCT
fis-125	215	4	(	(	PUNCT
fis-125	215	5	,	,	PUNCT
fis-125	215	6	)	)	PUNCT
fis-125	215	7			X
fis-125	215	8	h	h	X
fis-125	215	9	behaves	behave	VERB
fis-125	215	10	like	like	ADP
fis-125	215	11	(	(	PUNCT
fis-125	215	12	,	,	PUNCT
fis-125	215	13	0)	0)	NOUN
fis-125	215	14			NOUN
fis-125	215	15			PROPN
fis-125	215	16			ADJ
fis-125	215	17			PROPN
fis-125	215	18	h	h	NOUN
fis-125	215	19	near	near	ADV
fis-125	215	20	=	=	SYM
fis-125	215	21	0	0	NOUN
fis-125	215	22	and	and	CCONJ
fis-125	215	23	like	like	INTJ
fis-125	215	24	(	(	PUNCT
fis-125	215	25	,	,	PUNCT
fis-125	215	26	(	(	PUNCT
fis-125	215	27	)	)	PUNCT
fis-125	215	28	)	)	PUNCT
fis-125	215	29	(	(	PUNCT
fis-125	215	30	(	(	PUNCT
fis-125	215	31	)	)	PUNCT
fis-125	215	32	)	)	PUNCT
fis-125	215	33			PROPN
fis-125	215	34			NOUN
fis-125	215	35			PROPN
fis-125	215	36			PROPN
fis-125	215	37			NOUN
fis-125	215	38			PROPN
fis-125	215	39			PROPN
fis-125	215	40			ADJ
fis-125	215	41			PROPN
fis-125	215	42			PROPN
fis-125	215	43	h	h	NOUN
fis-125	215	44	near	near	ADV
fis-125	215	45	=	=	PUNCT
fis-125	215	46	(	(	PUNCT
fis-125	215	47	)	)	PUNCT
fis-125	215	48			NOUN
fis-125	215	49			NOUN
fis-125	215	50			PROPN
fis-125	215	51	.	.	PUNCT
fis-125	216	1	since	since	SCONJ
fis-125	216	2	(	(	PUNCT
fis-125	216	3	,	,	PUNCT
fis-125	216	4	0	0	NUM
fis-125	216	5	)	)	PUNCT
fis-125	216	6	>	>	X
fis-125	216	7	0	0	NUM
fis-125	216	8			PROPN
fis-125	216	9			ADJ
fis-125	216	10			ADJ
fis-125	216	11	h	h	NOUN
fis-125	216	12	and	and	CCONJ
fis-125	216	13	(	(	PUNCT
fis-125	216	14	,	,	PUNCT
fis-125	216	15	(	(	PUNCT
fis-125	216	16	)	)	PUNCT
fis-125	216	17	)	)	PUNCT
fis-125	216	18	<	<	X
fis-125	216	19	0	0	NUM
fis-125	216	20			X
fis-125	216	21			PROPN
fis-125	216	22			PROPN
fis-125	216	23			ADJ
fis-125	216	24			PROPN
fis-125	216	25	h	h	NOUN
fis-125	216	26	,	,	PUNCT
fis-125	216	27	the	the	DET
fis-125	216	28	integral	integral	ADJ
fis-125	216	29	is	be	AUX
fis-125	216	30	convergent	convergent	NOUN
fis-125	216	31	.	.	PUNCT
fis-125	216	32	)	)	PUNCT
fis-125	217	1	provided	provide	VERB
fis-125	217	2	that	that	SCONJ
fis-125	217	3	2	2	NUM
fis-125	217	4	(	(	PUNCT
fis-125	217	5	)	)	PUNCT
fis-125	217	6	l	l	PROPN
fis-125	217	7	d	d	NOUN
fis-125	217	8	,	,	PUNCT
fis-125	217	9	it	it	PRON
fis-125	217	10	is	be	AUX
fis-125	217	11	really	really	ADV
fis-125	217	12	possible	possible	ADJ
fis-125	217	13	to	to	PART
fis-125	217	14	insert	insert	VERB
fis-125	217	15	a	a	DET
fis-125	217	16	localization	localization	NOUN
fis-125	217	17	zone	zone	NOUN
fis-125	217	18	of	of	ADP
fis-125	217	19	size	size	NOUN
fis-125	217	20	2	2	NUM
fis-125	217	21	(	(	PUNCT
fis-125	217	22	)	)	PUNCT
fis-125	217	23	d	d	NOUN
fis-125	217	24	inside	inside	ADP
fis-125	217	25	the	the	DET
fis-125	217	26	bar	bar	NOUN
fis-125	217	27	.	.	PUNCT
fis-125	218	1	concerning	concern	VERB
fis-125	218	2	the	the	DET
fis-125	218	3	dependence	dependence	NOUN
fis-125	218	4	of	of	ADP
fis-125	218	5	(	(	PUNCT
fis-125	218	6	)	)	PUNCT
fis-125	218	7	d	d	NOUN
fis-125	218	8	on	on	ADP
fis-125	218	9			PROPN
fis-125	218	10	,	,	PUNCT
fis-125	218	11	we	we	PRON
fis-125	218	12	obtain	obtain	VERB
fis-125	218	13	the	the	DET
fis-125	218	14	following	follow	VERB
fis-125	218	15	fundamental	fundamental	ADJ
fis-125	218	16	property	property	NOUN
fis-125	218	17	the	the	DET
fis-125	218	18	proof	proof	NOUN
fis-125	218	19	of	of	ADP
fis-125	218	20	which	which	PRON
fis-125	218	21	is	be	AUX
fis-125	218	22	not	not	PART
fis-125	218	23	given	give	VERB
fis-125	218	24	here	here	ADV
fis-125	218	25	(	(	PUNCT
fis-125	218	26	it	it	PRON
fis-125	218	27	is	be	AUX
fis-125	218	28	based	base	VERB
fis-125	218	29	on	on	ADP
fis-125	218	30	a	a	DET
fis-125	218	31	careful	careful	ADJ
fis-125	218	32	study	study	NOUN
fis-125	218	33	of	of	ADP
fis-125	218	34	the	the	DET
fis-125	218	35	behavior	behavior	NOUN
fis-125	218	36	of	of	ADP
fis-125	218	37	the	the	DET
fis-125	218	38	integral	integral	ADJ
fis-125	218	39	giving	giving	NOUN
fis-125	218	40	(	(	PUNCT
fis-125	218	41	)	)	PUNCT
fis-125	218	42	d	d	NOUN
fis-125	218	43	):	):	PUNCT
fis-125	218	44	property	property	NOUN
fis-125	218	45	4	4	NUM
fis-125	218	46	(	(	PUNCT
fis-125	218	47	dependence	dependence	NOUN
fis-125	218	48	on	on	ADP
fis-125	218	49	the	the	DET
fis-125	218	50	stress	stress	NOUN
fis-125	218	51	of	of	ADP
fis-125	218	52	the	the	DET
fis-125	218	53	size	size	NOUN
fis-125	218	54	of	of	ADP
fis-125	218	55	the	the	DET
fis-125	218	56	localization	localization	NOUN
fis-125	218	57	zone	zone	NOUN
fis-125	218	58	.	.	PUNCT
fis-125	218	59	)	)	PUNCT
fis-125	219	1	the	the	DET
fis-125	219	2	size	size	NOUN
fis-125	219	3	(	(	PUNCT
fis-125	219	4	)	)	PUNCT
fis-125	219	5	d	d	NOUN
fis-125	219	6	of	of	ADP
fis-125	219	7	the	the	DET
fis-125	219	8	localization	localization	NOUN
fis-125	219	9	zone	zone	NOUN
fis-125	219	10	varies	vary	VERB
fis-125	219	11	continuously	continuously	ADV
fis-125	219	12	with	with	ADP
fis-125	219	13			PROPN
fis-125	219	14	,	,	PUNCT
fis-125	219	15	0	0	NUM
fis-125	219	16	(	(	PUNCT
fis-125	219	17	)	)	PUNCT
fis-125	219	18	d	d	NOUN
fis-125	219	19	and	and	CCONJ
fis-125	219	20	00	00	PUNCT
fis-125	219	21	=	=	SYM
fis-125	219	22	(	(	PUNCT
fis-125	219	23	)	)	PUNCT
fis-125	219	24	lim	lim	CCONJ
fis-125	219	25	d	d	PROPN
fis-125	219	26	d	d	PROPN
fis-125	219	27	are	be	AUX
fis-125	219	28	finite	finite	ADJ
fis-125	219	29	and	and	CCONJ
fis-125	219	30	given	give	VERB
fis-125	219	31	by	by	ADP
fis-125	219	32	1	1	NUM
fis-125	219	33	0	0	NUM
fis-125	219	34	0	0	NUM
fis-125	219	35	0	0	NUM
fis-125	219	36	02	02	NUM
fis-125	219	37	0	0	NUM
fis-125	219	38	0	0	NUM
fis-125	219	39	2	2	NUM
fis-125	219	40	(	(	PUNCT
fis-125	219	41	)	)	PUNCT
fis-125	219	42	=	=	SYM
fis-125	219	43	,	,	PUNCT
fis-125	219	44	=	=	SYM
fis-125	219	45	(	(	PUNCT
fis-125	219	46	0	0	NUM
fis-125	219	47	)	)	SYM
fis-125	219	48	2	2	NUM
fis-125	219	49	(	(	PUNCT
fis-125	219	50	0	0	NUM
fis-125	219	51	)	)	SYM
fis-125	219	52	2	2	NUM
fis-125	219	53	(	(	PUNCT
fis-125	219	54	)	)	PUNCT
fis-125	219	55			PROPN
fis-125	219	56			PROPN
fis-125	219	57			X
fis-125	219	58			X
fis-125	219	59			X
fis-125	219	60			PROPN
fis-125	219	61			PUNCT
fis-125	219	62	e	e	PUNCT
fis-125	219	63	e	e	X
fis-125	219	64	d	d	PROPN
fis-125	219	65	d	d	PROPN
fis-125	219	66	d	d	X
fis-125	219	67	s	s	PROPN
fis-125	219	68	w	w	PROPN
fis-125	219	69	w	w	PROPN
fis-125	219	70	(	(	PUNCT
fis-125	219	71	29	29	NUM
fis-125	219	72	)	)	PUNCT
fis-125	219	73	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	219	74	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	219	75	k.	k.	PROPN
fis-125	219	76	pham	pham	PROPN
fis-125	219	77	et	et	PROPN
fis-125	219	78	alii	alii	PROPN
fis-125	219	79	,	,	PUNCT
fis-125	219	80	frattura	frattura	PROPN
fis-125	219	81	ed	ed	PROPN
fis-125	219	82	integrità	integrità	PROPN
fis-125	219	83	strutturale	strutturale	PROPN
fis-125	219	84	,	,	PUNCT
fis-125	219	85	19	19	NUM
fis-125	219	86	(	(	PUNCT
fis-125	219	87	2012	2012	NUM
fis-125	219	88	)	)	PUNCT
fis-125	219	89	5	5	NUM
fis-125	219	90	-	-	SYM
fis-125	219	91	19	19	NUM
fis-125	219	92	;	;	PUNCT
fis-125	219	93	doi	doi	NOUN
fis-125	219	94	:	:	PUNCT
fis-125	219	95	10.3221	10.3221	NUM
fis-125	219	96	/	/	SYM
fis-125	219	97	igf	igf	PROPN
fis-125	219	98	-	-	PUNCT
fis-125	219	99	esis.19.01	esis.19.01	PROPN
fis-125	219	100	13	13	NUM
fis-125	219	101	the	the	DET
fis-125	219	102	size	size	NOUN
fis-125	219	103	function	function	NOUN
fis-125	219	104	(	(	PUNCT
fis-125	219	105	)	)	PUNCT
fis-125	219	106			PROPN
fis-125	219	107			NOUN
fis-125	219	108	d	d	NOUN
fis-125	219	109	is	be	AUX
fis-125	219	110	not	not	PART
fis-125	219	111	necessarily	necessarily	ADV
fis-125	219	112	decreasing	decrease	VERB
fis-125	219	113	.	.	PUNCT
fis-125	220	1	in	in	ADP
fis-125	220	2	particular	particular	ADJ
fis-125	220	3	0	0	NUM
fis-125	220	4	(	(	PUNCT
fis-125	220	5	)	)	PUNCT
fis-125	220	6	<	<	X
fis-125	221	1	0	0	NUM
fis-125	221	2			PROPN
fis-125	221	3	dd	dd	NOUN
fis-125	222	1	d	d	NOUN
fis-125	222	2	if	if	SCONJ
fis-125	222	3	and	and	CCONJ
fis-125	222	4	only	only	ADV
fis-125	222	5	if	if	SCONJ
fis-125	222	6	the	the	DET
fis-125	222	7	following	follow	VERB
fis-125	222	8	inequality	inequality	NOUN
fis-125	222	9	holds	hold	VERB
fis-125	222	10	2	2	NUM
fis-125	222	11	2	2	NUM
fis-125	222	12	0	0	NUM
fis-125	222	13	0(0	0(0	NUM
fis-125	222	14	)	)	PUNCT
fis-125	223	1	(	(	PUNCT
fis-125	223	2	(	(	PUNCT
fis-125	223	3	0	0	X
fis-125	223	4	)	)	SYM
fis-125	223	5	2	2	NUM
fis-125	223	6	(	(	PUNCT
fis-125	223	7	0	0	NUM
fis-125	223	8	)	)	PUNCT
fis-125	223	9	)	)	PUNCT
fis-125	224	1	>	>	PUNCT
fis-125	224	2	(	(	PUNCT
fis-125	224	3	0	0	NUM
fis-125	224	4	)	)	PUNCT
fis-125	224	5	(	(	PUNCT
fis-125	224	6	(	(	PUNCT
fis-125	224	7	0	0	NUM
fis-125	224	8	)	)	SYM
fis-125	224	9	2	2	NUM
fis-125	224	10	(	(	PUNCT
fis-125	224	11	0))	0))	PROPN
fis-125	224	12			ADJ
fis-125	224	13			PROPN
fis-125	224	14			PROPN
fis-125	224	15			ADJ
fis-125	224	16			NOUN
fis-125	224	17			NUM
fis-125	224	18	s		NOUN
fis-125	224	19	s	s	PART
fis-125	224	20	w	w	NOUN
fis-125	224	21	s	s	PROPN
fis-125	224	22	s	s	X
fis-125	224	23	w	w	NOUN
fis-125	224	24	(	(	PUNCT
fis-125	224	25	30	30	NUM
fis-125	224	26	)	)	PUNCT
fis-125	224	27	the	the	DET
fis-125	224	28	position	position	NOUN
fis-125	224	29	ix	ix	ADP
fis-125	224	30	of	of	ADP
fis-125	224	31	the	the	DET
fis-125	224	32	center	center	NOUN
fis-125	224	33	can	can	AUX
fis-125	224	34	be	be	AUX
fis-125	224	35	chosen	choose	VERB
fis-125	224	36	arbitrarily	arbitrarily	ADV
fis-125	224	37	in	in	ADP
fis-125	224	38	the	the	DET
fis-125	224	39	interval	interval	NOUN
fis-125	224	40	[	[	PUNCT
fis-125	224	41	(	(	PUNCT
fis-125	224	42	)	)	PUNCT
fis-125	224	43	,	,	PUNCT
fis-125	224	44	(	(	PUNCT
fis-125	224	45	)	)	PUNCT
fis-125	224	46	]	]	X
fis-125	224	47			PROPN
fis-125	224	48	d	d	X
fis-125	224	49	l	l	NOUN
fis-125	224	50	d	d	NOUN
fis-125	224	51	.	.	PUNCT
fis-125	225	1	we	we	PRON
fis-125	225	2	finally	finally	ADV
fis-125	225	3	deduce	deduce	VERB
fis-125	225	4	from	from	ADP
fis-125	225	5	(	(	PUNCT
fis-125	225	6	25	25	NUM
fis-125	225	7	)	)	PUNCT
fis-125	225	8	that	that	PRON
fis-125	225	9	,	,	PUNCT
fis-125	225	10	in	in	ADP
fis-125	225	11	the	the	DET
fis-125	225	12	localization	localization	NOUN
fis-125	225	13	zone	zone	NOUN
fis-125	225	14	,	,	PUNCT
fis-125	225	15	the	the	DET
fis-125	225	16	damage	damage	NOUN
fis-125	225	17	field	field	NOUN
fis-125	225	18	is	be	AUX
fis-125	225	19	given	give	VERB
fis-125	225	20	by	by	ADP
fis-125	225	21	the	the	DET
fis-125	225	22	following	follow	VERB
fis-125	225	23	implicit	implicit	ADJ
fis-125	225	24	relation	relation	NOUN
fis-125	225	25	between	between	ADP
fis-125	225	26	x	x	PUNCT
fis-125	225	27	and	and	CCONJ
fis-125	225	28			NOUN
fis-125	225	29	:	:	PUNCT
fis-125	225	30	(	(	PUNCT
fis-125	225	31	)	)	PUNCT
fis-125	226	1	|	|	ADV
fis-125	226	2	|=	|=	PRON
fis-125	226	3	(	(	PUNCT
fis-125	226	4	,	,	PUNCT
fis-125	226	5	)	)	PUNCT
fis-125	226	6			NOUN
fis-125	226	7			PROPN
fis-125	226	8			X
fis-125	226	9			PROPN
fis-125	226	10			PROPN
fis-125	226	11			PROPN
fis-125	226	12			NOUN
fis-125	226	13	i	i	PROPN
fis-125	226	14	d	d	NOUN
fis-125	226	15	x	x	X
fis-125	226	16	x	x	SYM
fis-125	226	17	h	h	NOUN
fis-125	226	18	(	(	PUNCT
fis-125	226	19	31	31	NUM
fis-125	226	20	)	)	PUNCT
fis-125	226	21	it	it	PRON
fis-125	226	22	is	be	AUX
fis-125	226	23	easy	easy	ADJ
fis-125	226	24	to	to	PART
fis-125	226	25	see	see	VERB
fis-125	226	26	that	that	SCONJ
fis-125	226	27	the	the	DET
fis-125	226	28	damage	damage	NOUN
fis-125	226	29	field	field	NOUN
fis-125	226	30	is	be	AUX
fis-125	226	31	symmetric	symmetric	ADJ
fis-125	226	32	with	with	ADP
fis-125	226	33	respect	respect	NOUN
fis-125	226	34	to	to	ADP
fis-125	226	35	the	the	DET
fis-125	226	36	center	center	NOUN
fis-125	226	37	of	of	ADP
fis-125	226	38	the	the	DET
fis-125	226	39	localization	localization	NOUN
fis-125	226	40	zone	zone	NOUN
fis-125	226	41	,	,	PUNCT
fis-125	226	42	decreasing	decrease	VERB
fis-125	226	43	continuously	continuously	ADV
fis-125	226	44	from	from	ADP
fis-125	226	45	(	(	PUNCT
fis-125	226	46	)	)	PUNCT
fis-125	226	47			X
fis-125	226	48			PROPN
fis-125	226	49	at	at	ADP
fis-125	226	50	the	the	DET
fis-125	226	51	center	center	NOUN
fis-125	226	52	to	to	ADP
fis-125	226	53	0	0	NUM
fis-125	226	54	at	at	ADP
fis-125	226	55	the	the	DET
fis-125	226	56	boundary	boundary	NOUN
fis-125	226	57	.	.	PUNCT
fis-125	227	1	remark	remark	NOUN
fis-125	227	2	2	2	NUM
fis-125	227	3	the	the	DET
fis-125	227	4	size	size	NOUN
fis-125	227	5	of	of	ADP
fis-125	227	6	the	the	DET
fis-125	227	7	localization	localization	NOUN
fis-125	227	8	zone	zone	NOUN
fis-125	227	9	and	and	CCONJ
fis-125	227	10	the	the	DET
fis-125	227	11	profile	profile	NOUN
fis-125	227	12	of	of	ADP
fis-125	227	13	the	the	DET
fis-125	227	14	damage	damage	NOUN
fis-125	227	15	field	field	NOUN
fis-125	227	16	inside	inside	ADV
fis-125	227	17	depends	depend	VERB
fis-125	227	18	only	only	ADV
fis-125	227	19	on	on	ADP
fis-125	227	20			PROPN
fis-125	227	21	.	.	PUNCT
fis-125	228	1	since	since	SCONJ
fis-125	228	2			PROPN
fis-125	228	3	is	be	AUX
fis-125	228	4	a	a	DET
fis-125	228	5	global	global	ADJ
fis-125	228	6	quantity	quantity	NOUN
fis-125	228	7	,	,	PUNCT
fis-125	228	8	all	all	DET
fis-125	228	9	the	the	DET
fis-125	228	10	localization	localization	NOUN
fis-125	228	11	zones	zone	NOUN
fis-125	228	12	have	have	VERB
fis-125	228	13	the	the	DET
fis-125	228	14	same	same	ADJ
fis-125	228	15	size	size	NOUN
fis-125	228	16	and	and	CCONJ
fis-125	228	17	the	the	DET
fis-125	228	18	same	same	ADJ
fis-125	228	19	profile	profile	NOUN
fis-125	228	20	at	at	ADP
fis-125	228	21	a	a	DET
fis-125	228	22	given	give	VERB
fis-125	228	23	time	time	NOUN
fis-125	228	24	.	.	PUNCT
fis-125	229	1	the	the	DET
fis-125	229	2	maximal	maximal	ADJ
fis-125	229	3	number	number	NOUN
fis-125	229	4	of	of	ADP
fis-125	229	5	localization	localization	NOUN
fis-125	229	6	zones	zone	NOUN
fis-125	229	7	that	that	PRON
fis-125	229	8	can	can	AUX
fis-125	229	9	exist	exist	VERB
fis-125	229	10	at	at	ADP
fis-125	229	11	a	a	DET
fis-125	229	12	given	give	VERB
fis-125	229	13	time	time	NOUN
fis-125	229	14	depends	depend	VERB
fis-125	229	15	on	on	ADP
fis-125	229	16	the	the	DET
fis-125	229	17	length	length	NOUN
fis-125	229	18	of	of	ADP
fis-125	229	19	the	the	DET
fis-125	229	20	bar	bar	NOUN
fis-125	229	21	:	:	PUNCT
fis-125	229	22	the	the	PRON
fis-125	229	23	longer	long	ADJ
fis-125	229	24	the	the	DET
fis-125	229	25	bar	bar	NOUN
fis-125	229	26	,	,	PUNCT
fis-125	229	27	the	the	PRON
fis-125	229	28	greater	great	ADJ
fis-125	229	29	the	the	DET
fis-125	229	30	maximal	maximal	ADJ
fis-125	229	31	number	number	NOUN
fis-125	229	32	of	of	ADP
fis-125	229	33	localization	localization	NOUN
fis-125	229	34	zones	zone	NOUN
fis-125	229	35	.	.	PUNCT
fis-125	230	1	example	example	NOUN
fis-125	230	2	4	4	NUM
fis-125	230	3	in	in	ADP
fis-125	230	4	the	the	DET
fis-125	230	5	case	case	NOUN
fis-125	230	6	of	of	ADP
fis-125	230	7	the	the	DET
fis-125	230	8	family	family	NOUN
fis-125	230	9	of	of	ADP
fis-125	230	10	models	model	NOUN
fis-125	230	11	introduced	introduce	VERB
fis-125	230	12	in	in	ADP
fis-125	230	13	example	example	NOUN
fis-125	230	14	2	2	NUM
fis-125	230	15	with	with	ADP
fis-125	230	16	1q	1q	NUM
fis-125	230	17	and	and	CCONJ
fis-125	230	18	1p	1p	NUM
fis-125	230	19	the	the	DET
fis-125	230	20	size	size	NOUN
fis-125	230	21	of	of	ADP
fis-125	230	22	the	the	DET
fis-125	230	23	localization	localization	NOUN
fis-125	230	24	zone	zone	NOUN
fis-125	230	25	at	at	ADP
fis-125	230	26	0=	0=	NOUN
fis-125	230	27			PROPN
fis-125	230	28	or	or	CCONJ
fis-125	230	29	0	0	NUM
fis-125	230	30	are	be	AUX
fis-125	230	31	given	give	VERB
fis-125	230	32	by	by	ADP
fis-125	230	33	0	0	NUM
fis-125	230	34	02	02	NUM
fis-125	230	35	00	00	NUM
fis-125	230	36	2	2	NUM
fis-125	230	37	2	2	NUM
fis-125	230	38	(	(	PUNCT
fis-125	230	39	)	)	PUNCT
fis-125	230	40	=	=	SYM
fis-125	230	41	,	,	PUNCT
fis-125	230	42	=	=	PRON
fis-125	230	43	(	(	PUNCT
fis-125	230	44	)	)	PUNCT
fis-125	230	45			ADJ
fis-125	230	46			PROPN
fis-125	230	47			PROPN
fis-125	230	48			PUNCT
fis-125	230	49			PROPN
fis-125	230	50			X
fis-125	230	51			ADJ
fis-125	230	52	d	d	PROPN
fis-125	230	53	d	d	X
fis-125	230	54	p	p	NOUN
fis-125	230	55	qp	qp	ADP
fis-125	230	56	q	q	PROPN
fis-125	230	57	q	q	PROPN
fis-125	230	58	p	p	X
fis-125	230	59	the	the	DET
fis-125	230	60	necessary	necessary	ADJ
fis-125	230	61	condition	condition	NOUN
fis-125	230	62	(	(	PUNCT
fis-125	230	63	30	30	NUM
fis-125	230	64	)	)	PUNCT
fis-125	230	65	of	of	ADP
fis-125	230	66	growing	grow	VERB
fis-125	230	67	of	of	ADP
fis-125	230	68	the	the	DET
fis-125	230	69	localization	localization	NOUN
fis-125	230	70	zone	zone	NOUN
fis-125	230	71	when	when	SCONJ
fis-125	230	72	the	the	DET
fis-125	230	73	stress	stress	NOUN
fis-125	230	74	decreases	decrease	VERB
fis-125	230	75	reads	read	NOUN
fis-125	230	76	as	as	ADP
fis-125	230	77	2	2	NUM
fis-125	230	78	2	2	NUM
fis-125	230	79	(	(	PUNCT
fis-125	230	80	)	)	PUNCT
fis-125	230	81	>	>	PUNCT
fis-125	231	1	(	(	PUNCT
fis-125	231	2	)	)	PUNCT
fis-125	231	3	(	(	PUNCT
fis-125	231	4	2)	2)	NUM
fis-125	231	5			ADJ
fis-125	231	6			PROPN
fis-125	231	7	q	q	PROPN
fis-125	231	8	p	p	X
fis-125	231	9	q	q	X
fis-125	231	10	p	p	X
fis-125	231	11	q	q	X
fis-125	231	12	p	p	NOUN
fis-125	231	13	.	.	PUNCT
fis-125	232	1	it	it	PRON
fis-125	232	2	is	be	AUX
fis-125	232	3	in	in	ADP
fis-125	232	4	particular	particular	ADJ
fis-125	232	5	satisfied	satisfied	ADJ
fis-125	232	6	for	for	ADP
fis-125	232	7	=	=	NOUN
fis-125	232	8	2q	2q	NOUN
fis-125	232	9	and	and	CCONJ
fis-125	232	10	4p	4p	NUM
fis-125	232	11	,	,	PUNCT
fis-125	232	12	but	but	CCONJ
fis-125	232	13	it	it	PRON
fis-125	232	14	is	be	AUX
fis-125	232	15	never	never	ADV
fis-125	232	16	satisfied	satisfied	ADJ
fis-125	233	1	when	when	SCONJ
fis-125	233	2	1q	1q	NUM
fis-125	233	3	and	and	CCONJ
fis-125	233	4	1	1	NUM
fis-125	233	5	2	2	NUM
fis-125	233	6	p	p	X
fis-125	233	7	.	.	PUNCT
fis-125	233	8	figure	figure	NOUN
fis-125	233	9	3	3	NUM
fis-125	233	10	:	:	PUNCT
fis-125	233	11	left	leave	VERB
fis-125	233	12	:	:	PUNCT
fis-125	233	13	the	the	DET
fis-125	233	14	damage	damage	NOUN
fis-125	233	15	profile	profile	NOUN
fis-125	233	16	for	for	ADP
fis-125	233	17	a	a	DET
fis-125	233	18	given	give	VERB
fis-125	233	19			PROPN
fis-125	233	20	and	and	CCONJ
fis-125	233	21	its	its	PRON
fis-125	233	22	evolution	evolution	NOUN
fis-125	233	23	for	for	ADP
fis-125	233	24	different	different	ADJ
fis-125	233	25			PROPN
fis-125	233	26	in	in	ADP
fis-125	233	27	the	the	DET
fis-125	233	28	case	case	NOUN
fis-125	233	29	of	of	ADP
fis-125	233	30	the	the	DET
fis-125	233	31	model	model	NOUN
fis-125	233	32	of	of	ADP
fis-125	233	33	example	example	NOUN
fis-125	233	34	2	2	NUM
fis-125	233	35	with	with	ADP
fis-125	233	36	=	=	NOUN
fis-125	233	37	2q	2q	NUM
fis-125	233	38	and	and	CCONJ
fis-125	233	39	=	=	SYM
fis-125	233	40	4p	4p	NUM
fis-125	233	41	(	(	PUNCT
fis-125	233	42	the	the	DET
fis-125	233	43	lower	low	ADJ
fis-125	233	44			PROPN
fis-125	233	45	,	,	PUNCT
fis-125	233	46	the	the	DET
fis-125	233	47	higher	high	ADJ
fis-125	233	48			NOUN
fis-125	233	49	)	)	PUNCT
fis-125	234	1	.	.	PUNCT
fis-125	235	1	right	right	ADV
fis-125	235	2	:	:	PUNCT
fis-125	235	3	we	we	PRON
fis-125	235	4	check	check	VERB
fis-125	235	5	numerically	numerically	ADV
fis-125	235	6	that	that	SCONJ
fis-125	235	7	(	(	PUNCT
fis-125	235	8	)	)	PUNCT
fis-125	235	9			PROPN
fis-125	235	10			PROPN
fis-125	235	11	d	d	NOUN
fis-125	235	12	is	be	AUX
fis-125	235	13	decreasing	decrease	VERB
fis-125	235	14	.	.	PUNCT
fis-125	236	1	rupture	rupture	NOUN
fis-125	236	2	of	of	ADP
fis-125	236	3	the	the	DET
fis-125	236	4	bar	bar	NOUN
fis-125	236	5	when	when	SCONJ
fis-125	236	6	=	=	NOUN
fis-125	236	7	0	0	NOUN
fis-125	236	8	our	our	PRON
fis-125	236	9	previous	previous	ADJ
fis-125	236	10	construction	construction	NOUN
fis-125	236	11	of	of	ADP
fis-125	236	12	the	the	DET
fis-125	236	13	damage	damage	NOUN
fis-125	236	14	profile	profile	NOUN
fis-125	236	15	is	be	AUX
fis-125	236	16	no	no	DET
fis-125	236	17	more	more	ADV
fis-125	236	18	valid	valid	ADJ
fis-125	236	19	.	.	PUNCT
fis-125	237	1	indeed	indeed	ADV
fis-125	237	2	,	,	PUNCT
fis-125	237	3	the	the	DET
fis-125	237	4	differential	differential	ADJ
fis-125	237	5	system	system	NOUN
fis-125	237	6	(	(	PUNCT
fis-125	237	7	22)-(23	22)-(23	NOUN
fis-125	237	8	)	)	PUNCT
fis-125	237	9	becomes	become	VERB
fis-125	237	10	2	2	NUM
fis-125	237	11	0	0	NUM
fis-125	237	12	>	>	X
fis-125	237	13	0	0	PUNCT
fis-125	237	14	(	(	PUNCT
fis-125	237	15	)	)	PUNCT
fis-125	237	16	=	=	SYM
fis-125	237	17	0	0	NUM
fis-125	237	18	,	,	PUNCT
fis-125	237	19	=	=	SYM
fis-125	237	20	=	=	SYM
fis-125	237	21	0	0	X
fis-125	237	22			X
fis-125	237	23			X
fis-125	237	24			X
fis-125	237	25			X
fis-125	237	26			PROPN
fis-125	237	27			PROPN
fis-125	237	28			NOUN
fis-125	237	29	i	i	PRON
fis-125	237	30	iand	iand	VERB
fis-125	237	31	w	w	PROPN
fis-125	237	32	e	e	NOUN
fis-125	237	33	in	in	ADP
fis-125	237	34	on	on	PROPN
fis-125	237	35			ADJ
fis-125	237	36	integrating	integrate	VERB
fis-125	237	37	the	the	DET
fis-125	237	38	differential	differential	ADJ
fis-125	237	39	equation	equation	NOUN
fis-125	237	40	over	over	ADP
fis-125	237	41	i	i	NOUN
fis-125	237	42	and	and	CCONJ
fis-125	237	43	using	use	VERB
fis-125	237	44	the	the	DET
fis-125	237	45	boundary	boundary	ADJ
fis-125	237	46	conditions	condition	NOUN
fis-125	237	47	leads	lead	VERB
fis-125	237	48	to	to	ADP
fis-125	237	49	(	(	PUNCT
fis-125	237	50	)	)	PUNCT
fis-125	237	51	=	=	SYM
fis-125	238	1	0	0	NOUN
fis-125	239	1	i	i	PRON
fis-125	239	2	w	w	PROPN
fis-125	239	3	dx	dx	PROPN
fis-125	239	4			VERB
fis-125	239	5	what	what	PRON
fis-125	239	6	is	be	AUX
fis-125	239	7	impossible	impossible	ADJ
fis-125	239	8	by	by	ADP
fis-125	239	9	hypothesis	hypothesis	NOUN
fis-125	239	10	1	1	NUM
fis-125	239	11	.	.	PUNCT
fis-125	240	1	as	as	SCONJ
fis-125	240	2	this	this	PRON
fis-125	240	3	is	be	AUX
fis-125	240	4	suggested	suggest	VERB
fis-125	240	5	by	by	ADP
fis-125	240	6	the	the	DET
fis-125	240	7	fact	fact	NOUN
fis-125	240	8	that	that	SCONJ
fis-125	240	9	the	the	DET
fis-125	240	10	maximal	maximal	ADJ
fis-125	240	11	value	value	NOUN
fis-125	240	12	of	of	ADP
fis-125	240	13	the	the	DET
fis-125	240	14	damage	damage	NOUN
fis-125	240	15	tends	tend	VERB
fis-125	240	16	to	to	ADP
fis-125	240	17	1	1	NUM
fis-125	240	18	when	when	SCONJ
fis-125	240	19			PROPN
fis-125	240	20	goes	go	VERB
fis-125	240	21	to	to	ADP
fis-125	240	22	0	0	NUM
fis-125	240	23	,	,	PUNCT
fis-125	240	24	one	one	PRON
fis-125	240	25	has	have	VERB
fis-125	240	26	to	to	PART
fis-125	240	27	search	search	VERB
fis-125	240	28	a	a	DET
fis-125	240	29	profile	profile	NOUN
fis-125	240	30	such	such	ADJ
fis-125	240	31	that	that	SCONJ
fis-125	240	32	the	the	DET
fis-125	240	33	damage	damage	NOUN
fis-125	240	34	field	field	NOUN
fis-125	240	35	takes	take	VERB
fis-125	240	36	the	the	DET
fis-125	240	37	value	value	NOUN
fis-125	240	38	1	1	NUM
fis-125	240	39	at	at	ADP
fis-125	240	40	the	the	DET
fis-125	240	41	center	center	NOUN
fis-125	240	42	of	of	ADP
fis-125	240	43	the	the	DET
fis-125	240	44	zone	zone	NOUN
fis-125	240	45	.	.	PUNCT
fis-125	241	1	since	since	SCONJ
fis-125	241	2	some	some	DET
fis-125	241	3	http://www.gruppofrattura.it	http://www.gruppofrattura.it	NOUN
fis-125	241	4	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	241	5	k.	k.	PROPN
fis-125	241	6	pham	pham	PROPN
fis-125	241	7	et	et	PROPN
fis-125	241	8	alii	alii	PROPN
fis-125	241	9	,	,	PUNCT
fis-125	241	10	frattura	frattura	PROPN
fis-125	241	11	ed	ed	PROPN
fis-125	241	12	integrità	integrità	PROPN
fis-125	241	13	strutturale	strutturale	PROPN
fis-125	241	14	,	,	PUNCT
fis-125	241	15	19	19	NUM
fis-125	241	16	(	(	PUNCT
fis-125	241	17	2012	2012	NUM
fis-125	241	18	)	)	PUNCT
fis-125	241	19	5	5	NUM
fis-125	241	20	-	-	SYM
fis-125	241	21	19	19	NUM
fis-125	241	22	;	;	PUNCT
fis-125	241	23	doi	doi	NOUN
fis-125	241	24	:	:	PUNCT
fis-125	241	25	10.3221	10.3221	NUM
fis-125	241	26	/	/	SYM
fis-125	241	27	igf	igf	PROPN
fis-125	241	28	-	-	PUNCT
fis-125	241	29	esis.19.01	esis.19.01	ADJ
fis-125	241	30	14	14	NUM
fis-125	241	31	quantities	quantity	NOUN
fis-125	241	32	like	like	ADP
fis-125	241	33	the	the	DET
fis-125	241	34	compliance	compliance	NOUN
fis-125	241	35	function	function	NOUN
fis-125	241	36	(	(	PUNCT
fis-125	241	37	)	)	PUNCT
fis-125	241	38			X
fis-125	241	39			X
fis-125	241	40	s	s	NOUN
fis-125	241	41	and	and	CCONJ
fis-125	241	42	its	its	PRON
fis-125	241	43	derivatives	derivative	NOUN
fis-125	241	44	become	become	VERB
fis-125	241	45	infinite	infinite	ADJ
fis-125	241	46	when	when	SCONJ
fis-125	241	47			NOUN
fis-125	241	48	goes	go	VERB
fis-125	241	49	to	to	ADP
fis-125	241	50	1	1	NUM
fis-125	241	51	,	,	PUNCT
fis-125	241	52	the	the	DET
fis-125	241	53	regularity	regularity	NOUN
fis-125	241	54	of	of	ADP
fis-125	241	55	the	the	DET
fis-125	241	56	damage	damage	NOUN
fis-125	241	57	field	field	NOUN
fis-125	241	58	is	be	AUX
fis-125	241	59	lost	lose	VERB
fis-125	241	60	and	and	CCONJ
fis-125	241	61	(	(	PUNCT
fis-125	241	62	)	)	PUNCT
fis-125	241	63			X
fis-125	241	64	x	x	PRON
fis-125	241	65	is	be	AUX
fis-125	241	66	no	no	PRON
fis-125	241	67	more	more	ADV
fis-125	241	68	defined	define	VERB
fis-125	241	69	at	at	ADP
fis-125	241	70	=	=	PUNCT
fis-125	241	71	ix	ix	PROPN
fis-125	241	72	x	x	PUNCT
fis-125	241	73	but	but	CCONJ
fis-125	241	74	undergoes	undergo	VERB
fis-125	241	75	a	a	DET
fis-125	241	76	jump	jump	NOUN
fis-125	241	77	discontinuity	discontinuity	NOUN
fis-125	241	78	.	.	PUNCT
fis-125	242	1	so	so	ADV
fis-125	242	2	the	the	DET
fis-125	242	3	differential	differential	ADJ
fis-125	242	4	system	system	NOUN
fis-125	242	5	reads	read	VERB
fis-125	242	6	now	now	ADV
fis-125	242	7	as	as	ADP
fis-125	242	8	2	2	NUM
fis-125	242	9	0	0	NUM
fis-125	242	10	>	>	X
fis-125	242	11	0	0	PUNCT
fis-125	243	1	(	(	PUNCT
fis-125	243	2	)	)	PUNCT
fis-125	243	3	=	=	SYM
fis-125	243	4	0	0	NUM
fis-125	243	5	\	\	NOUN
fis-125	243	6	,	,	PUNCT
fis-125	243	7	(	(	PUNCT
fis-125	243	8	)	)	PUNCT
fis-125	243	9	=	=	SYM
fis-125	243	10	1	1	NUM
fis-125	243	11	,	,	PUNCT
fis-125	243	12	=	=	SYM
fis-125	243	13	=	=	SYM
fis-125	243	14	0	0	X
fis-125	243	15			X
fis-125	243	16			X
fis-125	243	17			X
fis-125	243	18			X
fis-125	243	19			X
fis-125	243	20			PROPN
fis-125	243	21			PROPN
fis-125	243	22			NOUN
fis-125	244	1	i	i	PRON
fis-125	244	2	i	i	PRON
fis-125	245	1	i	i	PRON
fis-125	245	2	iand	iand	VERB
fis-125	245	3	w	w	NOUN
fis-125	245	4	e	e	NOUN
fis-125	245	5	in	in	ADP
fis-125	245	6	x	x	X
fis-125	245	7	x	x	X
fis-125	245	8	on	on	PROPN
fis-125	245	9			VERB
fis-125	245	10	multiplying	multiplying	NOUN
fis-125	245	11	by	by	ADP
fis-125	245	12			PUNCT
fis-125	245	13	the	the	DET
fis-125	245	14	differential	differential	ADJ
fis-125	245	15	equation	equation	NOUN
fis-125	245	16	valid	valid	ADJ
fis-125	245	17	on	on	ADP
fis-125	245	18	each	each	DET
fis-125	245	19	half	half	ADJ
fis-125	245	20	-	-	PUNCT
fis-125	245	21	zone	zone	NOUN
fis-125	245	22	and	and	CCONJ
fis-125	245	23	taking	take	VERB
fis-125	245	24	into	into	ADP
fis-125	245	25	account	account	NOUN
fis-125	245	26	the	the	DET
fis-125	245	27	boundary	boundary	ADJ
fis-125	245	28	conditions	condition	NOUN
fis-125	245	29	at	at	ADP
fis-125	245	30	the	the	DET
fis-125	245	31	ends	end	NOUN
fis-125	245	32	,	,	PUNCT
fis-125	245	33	one	one	PRON
fis-125	245	34	still	still	ADV
fis-125	245	35	obtains	obtain	VERB
fis-125	245	36	a	a	DET
fis-125	245	37	first	first	ADJ
fis-125	245	38	integral	integral	ADJ
fis-125	245	39	2	2	NUM
fis-125	245	40	2	2	NUM
fis-125	245	41	0	0	NUM
fis-125	245	42	(	(	PUNCT
fis-125	245	43	)	)	PUNCT
fis-125	245	44	=	=	SYM
fis-125	245	45	2	2	NUM
fis-125	245	46	(	(	PUNCT
fis-125	245	47	(	(	PUNCT
fis-125	245	48	)	)	PUNCT
fis-125	245	49	)	)	PUNCT
fis-125	245	50			X
fis-125	245	51	e	e	PROPN
fis-125	245	52	x	x	SYM
fis-125	246	1	w	w	ADP
fis-125	246	2	x	x	VERB
fis-125	246	3	in	in	ADP
fis-125	246	4	\i	\i	ADJ
fis-125	246	5	ix	ix	PROPN
fis-125	246	6	.	.	PUNCT
fis-125	247	1	since	since	SCONJ
fis-125	247	2	>	>	X
fis-125	247	3	0	0	PROPN
fis-125	247	4	in	in	ADP
fis-125	247	5	i	i	PROPN
fis-125	247	6	,	,	PUNCT
fis-125	247	7	denoting	denote	VERB
fis-125	247	8	by	by	ADP
fis-125	247	9	0d	0d	NOUN
fis-125	247	10	the	the	DET
fis-125	247	11	halflength	halflength	NOUN
fis-125	247	12	of	of	ADP
fis-125	247	13	the	the	DET
fis-125	247	14	localization	localization	NOUN
fis-125	247	15	zone	zone	NOUN
fis-125	247	16	,	,	PUNCT
fis-125	247	17	one	one	PRON
fis-125	247	18	necessarily	necessarily	ADV
fis-125	247	19	has	have	VERB
fis-125	247	20	0	0	NUM
fis-125	247	21	0	0	NUM
fis-125	247	22	0	0	NUM
fis-125	247	23	0	0	NUM
fis-125	247	24	2	2	NUM
fis-125	247	25	(	(	PUNCT
fis-125	247	26	)	)	PUNCT
fis-125	247	27	(	(	PUNCT
fis-125	247	28	,	,	PUNCT
fis-125	247	29	)	)	PUNCT
fis-125	247	30	=	=	SYM
fis-125	247	31	2	2	NUM
fis-125	247	32	(	(	PUNCT
fis-125	247	33	)	)	PUNCT
fis-125	247	34	(	(	PUNCT
fis-125	247	35	,	,	PUNCT
fis-125	247	36	)	)	PUNCT
fis-125	247	37			X
fis-125	247	38			X
fis-125	247	39			X
fis-125	247	40			X
fis-125	247	41			NOUN
fis-125	247	42			NUM
fis-125	247	43			NOUN
fis-125	247	44			PROPN
fis-125	247	45			NOUN
fis-125	248	1	i	i	PRON
fis-125	249	1	i	i	PRON
fis-125	250	1	i	i	PRON
fis-125	251	1	i	i	PRON
fis-125	251	2	s	s	VERB
fis-125	251	3	w	w	NOUN
fis-125	251	4	in	in	ADP
fis-125	251	5	x	x	PROPN
fis-125	251	6	d	d	X
fis-125	251	7	x	x	X
fis-125	252	1	s	s	NOUN
fis-125	252	2	w	w	NOUN
fis-125	252	3	in	in	ADP
fis-125	252	4	x	x	PUNCT
fis-125	252	5	x	x	SYM
fis-125	252	6	d	d	NOUN
fis-125	252	7	since	since	SCONJ
fis-125	252	8	(	(	PUNCT
fis-125	252	9	)	)	PUNCT
fis-125	252	10	=	=	NOUN
fis-125	252	11	1	1	PROPN
fis-125	252	12	ix	ix	ADV
fis-125	252	13	,	,	PUNCT
fis-125	252	14	the	the	DET
fis-125	252	15	jump	jump	NOUN
fis-125	252	16	of	of	ADP
fis-125	252	17			NOUN
fis-125	252	18	at	at	ADP
fis-125	252	19	ix	ix	ADV
fis-125	252	20	is	be	AUX
fis-125	252	21	equal	equal	ADJ
fis-125	252	22	to	to	ADP
fis-125	252	23	02	02	NUM
fis-125	252	24	2	2	NUM
fis-125	252	25	(	(	PUNCT
fis-125	252	26	1	1	NUM
fis-125	252	27	)	)	PUNCT
fis-125	252	28	/	/	PUNCT
fis-125	253	1	s	s	NOUN
fis-125	253	2	w	w	X
fis-125	253	3	.	.	PUNCT
fis-125	254	1	by	by	ADP
fis-125	254	2	integration	integration	NOUN
fis-125	254	3	we	we	PRON
fis-125	254	4	obtain	obtain	VERB
fis-125	254	5	the	the	DET
fis-125	254	6	damage	damage	NOUN
fis-125	254	7	profile	profile	NOUN
fis-125	254	8	and	and	CCONJ
fis-125	254	9	the	the	DET
fis-125	254	10	half	half	ADJ
fis-125	254	11	-	-	PUNCT
fis-125	254	12	length	length	NOUN
fis-125	254	13	of	of	ADP
fis-125	254	14	the	the	DET
fis-125	254	15	localization	localization	NOUN
fis-125	254	16	zone	zone	NOUN
fis-125	254	17	1	1	NUM
fis-125	254	18	1	1	NUM
fis-125	254	19	0	0	NUM
fis-125	254	20	0	0	NUM
fis-125	254	21	0	0	NUM
fis-125	254	22	0	0	NUM
fis-125	255	1	|	|	ADV
fis-125	255	2	|=	|=	NOUN
fis-125	255	3	,	,	PUNCT
fis-125	255	4	=	=	SYM
fis-125	255	5	2	2	NUM
fis-125	255	6	(	(	PUNCT
fis-125	255	7	)	)	PUNCT
fis-125	255	8	2	2	NUM
fis-125	255	9	(	(	PUNCT
fis-125	255	10	)	)	PUNCT
fis-125	255	11			X
fis-125	255	12			NOUN
fis-125	255	13			NOUN
fis-125	255	14			PROPN
fis-125	255	15			NOUN
fis-125	255	16			NOUN
fis-125	255	17			NOUN
fis-125	255	18			PUNCT
fis-125	256	1	i	i	NUM
fis-125	257	1	d	d	X
fis-125	257	2	d	d	NOUN
fis-125	257	3	x	x	PUNCT
fis-125	257	4	x	x	PUNCT
fis-125	257	5	d	d	X
fis-125	257	6	s	s	PROPN
fis-125	257	7	w	w	PROPN
fis-125	257	8	s	s	PROPN
fis-125	257	9	w	w	NOUN
fis-125	257	10	(	(	PUNCT
fis-125	257	11	32	32	NUM
fis-125	257	12	)	)	PUNCT
fis-125	257	13	one	one	PRON
fis-125	257	14	can	can	AUX
fis-125	257	15	remark	remark	VERB
fis-125	257	16	that	that	SCONJ
fis-125	257	17	this	this	DET
fis-125	257	18	solution	solution	NOUN
fis-125	257	19	can	can	AUX
fis-125	257	20	be	be	AUX
fis-125	257	21	obtained	obtain	VERB
fis-125	257	22	formally	formally	ADV
fis-125	257	23	by	by	ADP
fis-125	257	24	taking	take	VERB
fis-125	257	25	=	=	NOUN
fis-125	257	26	0	0	NUM
fis-125	257	27	and	and	CCONJ
fis-125	257	28	(	(	PUNCT
fis-125	257	29	0	0	NUM
fis-125	257	30	)	)	PUNCT
fis-125	257	31	=	=	SYM
fis-125	257	32	1	1	PROPN
fis-125	257	33	in	in	ADP
fis-125	257	34	(	(	PUNCT
fis-125	257	35	28)-(31	28)-(31	NUM
fis-125	257	36	)	)	PUNCT
fis-125	257	37	.	.	PUNCT
fis-125	258	1	we	we	PRON
fis-125	258	2	have	have	AUX
fis-125	258	3	proved	prove	VERB
fis-125	258	4	the	the	DET
fis-125	258	5	following	follow	VERB
fis-125	258	6	property	property	NOUN
fis-125	258	7	5	5	NUM
fis-125	258	8	(	(	PUNCT
fis-125	258	9	rupture	rupture	NOUN
fis-125	258	10	of	of	ADP
fis-125	258	11	the	the	DET
fis-125	258	12	bar	bar	NOUN
fis-125	258	13	at	at	ADP
fis-125	258	14	the	the	DET
fis-125	258	15	center	center	NOUN
fis-125	258	16	of	of	ADP
fis-125	258	17	a	a	DET
fis-125	258	18	localization	localization	NOUN
fis-125	258	19	zone	zone	NOUN
fis-125	258	20	)	)	PUNCT
fis-125	258	21	at	at	ADP
fis-125	258	22	the	the	DET
fis-125	258	23	end	end	NOUN
fis-125	258	24	of	of	ADP
fis-125	258	25	the	the	DET
fis-125	258	26	damage	damage	NOUN
fis-125	258	27	process	process	NOUN
fis-125	258	28	,	,	PUNCT
fis-125	258	29	when	when	SCONJ
fis-125	258	30	the	the	DET
fis-125	258	31	stress	stress	NOUN
fis-125	258	32	has	have	AUX
fis-125	258	33	decreased	decrease	VERB
fis-125	258	34	to	to	ADP
fis-125	258	35	0	0	NUM
fis-125	258	36	,	,	PUNCT
fis-125	258	37	the	the	DET
fis-125	258	38	damage	damage	NOUN
fis-125	258	39	takes	take	VERB
fis-125	258	40	the	the	DET
fis-125	258	41	critical	critical	ADJ
fis-125	258	42	value	value	NOUN
fis-125	258	43	1	1	NUM
fis-125	258	44	at	at	ADP
fis-125	258	45	the	the	DET
fis-125	258	46	center	center	NOUN
fis-125	258	47	of	of	ADP
fis-125	258	48	the	the	DET
fis-125	258	49	localized	localized	ADJ
fis-125	258	50	damage	damage	NOUN
fis-125	258	51	zone	zone	NOUN
fis-125	258	52	.	.	PUNCT
fis-125	259	1	the	the	DET
fis-125	259	2	damage	damage	NOUN
fis-125	259	3	profile	profile	NOUN
fis-125	259	4	and	and	CCONJ
fis-125	259	5	the	the	DET
fis-125	259	6	half	half	ADJ
fis-125	259	7	length	length	NOUN
fis-125	259	8	0d	0d	NOUN
fis-125	259	9	of	of	ADP
fis-125	259	10	the	the	DET
fis-125	259	11	damage	damage	NOUN
fis-125	259	12	zone	zone	NOUN
fis-125	259	13	are	be	AUX
fis-125	259	14	then	then	ADV
fis-125	259	15	given	give	VERB
fis-125	259	16	by	by	ADP
fis-125	259	17	(	(	PUNCT
fis-125	259	18	32	32	NUM
fis-125	259	19	)	)	PUNCT
fis-125	259	20	.	.	PUNCT
fis-125	260	1	the	the	DET
fis-125	260	2	profile	profile	NOUN
fis-125	260	3	is	be	AUX
fis-125	260	4	still	still	ADV
fis-125	260	5	symmetric	symmetric	ADJ
fis-125	260	6	and	and	CCONJ
fis-125	260	7	continuously	continuously	ADV
fis-125	260	8	decreasing	decrease	VERB
fis-125	260	9	to	to	ADP
fis-125	260	10	0	0	NUM
fis-125	260	11	from	from	ADP
fis-125	260	12	the	the	DET
fis-125	260	13	center	center	NOUN
fis-125	260	14	to	to	ADP
fis-125	260	15	the	the	DET
fis-125	260	16	boundary	boundary	NOUN
fis-125	260	17	,	,	PUNCT
fis-125	260	18	but	but	CCONJ
fis-125	260	19	its	its	PRON
fis-125	260	20	slope	slope	NOUN
fis-125	260	21	is	be	AUX
fis-125	260	22	discontinuous	discontinuous	ADJ
fis-125	260	23	at	at	ADP
fis-125	260	24	the	the	DET
fis-125	260	25	center	center	NOUN
fis-125	260	26	.	.	PUNCT
fis-125	261	1	example	example	NOUN
fis-125	261	2	5	5	NUM
fis-125	261	3	in	in	ADP
fis-125	261	4	the	the	DET
fis-125	261	5	cases	case	NOUN
fis-125	261	6	of	of	ADP
fis-125	261	7	the	the	DET
fis-125	261	8	family	family	NOUN
fis-125	261	9	of	of	ADP
fis-125	261	10	models	model	NOUN
fis-125	261	11	of	of	ADP
fis-125	261	12	example	example	NOUN
fis-125	261	13	1	1	NUM
fis-125	261	14	,	,	PUNCT
fis-125	261	15	the	the	DET
fis-125	261	16	half	half	ADJ
fis-125	261	17	-	-	PUNCT
fis-125	261	18	length	length	NOUN
fis-125	261	19	of	of	ADP
fis-125	261	20	the	the	DET
fis-125	261	21	damage	damage	NOUN
fis-125	261	22	zone	zone	NOUN
fis-125	261	23	and	and	CCONJ
fis-125	261	24	the	the	DET
fis-125	261	25	amplitude	amplitude	NOUN
fis-125	261	26	of	of	ADP
fis-125	261	27	the	the	DET
fis-125	261	28	damage	damage	NOUN
fis-125	261	29	profile	profile	NOUN
fis-125	261	30	when	when	SCONJ
fis-125	261	31	the	the	DET
fis-125	261	32	bar	bar	NOUN
fis-125	261	33	breaks	break	NOUN
fis-125	261	34	are	be	AUX
fis-125	261	35	given	give	VERB
fis-125	261	36	by	by	ADP
fis-125	261	37	1	1	NUM
fis-125	261	38	1	1	NUM
fis-125	261	39	00	00	NUM
fis-125	261	40	0	0	NUM
fis-125	262	1	|	|	ADV
fis-125	262	2	|=	|=	NOUN
fis-125	262	3	,	,	PUNCT
fis-125	262	4	=	=	NOUN
fis-125	262	5	1	1	NUM
fis-125	262	6	1	1	NUM
fis-125	262	7			NOUN
fis-125	262	8			PROPN
fis-125	262	9			PROPN
fis-125	262	10			PROPN
fis-125	262	11			PROPN
fis-125	262	12			PROPN
fis-125	262	13			PROPN
fis-125	262	14			NOUN
fis-125	262	15			X
fis-125	262	16			X
fis-125	262	17			X
fis-125	262	18	i	i	PRON
fis-125	262	19	p	p	X
fis-125	262	20	p	p	X
fis-125	262	21	c	c	NOUN
fis-125	262	22	c	c	PROPN
fis-125	263	1	p	p	PROPN
fis-125	263	2	dv	dv	PROPN
fis-125	263	3	p	p	PROPN
fis-125	263	4	dv	dv	PROPN
fis-125	263	5	x	x	PUNCT
fis-125	263	6	x	x	PUNCT
fis-125	263	7	d	d	X
fis-125	263	8	q	q	X
fis-125	263	9	qv	qv	X
fis-125	263	10	v	v	NOUN
fis-125	263	11	for	for	ADP
fis-125	263	12	=	=	SYM
fis-125	263	13	1p	1p	NUM
fis-125	263	14	,	,	PUNCT
fis-125	263	15	the	the	DET
fis-125	263	16	profile	profile	NOUN
fis-125	263	17	is	be	AUX
fis-125	263	18	made	make	VERB
fis-125	263	19	of	of	ADP
fis-125	263	20	two	two	NUM
fis-125	263	21	symmetric	symmetric	ADJ
fis-125	263	22	arcs	arc	NOUN
fis-125	263	23	of	of	ADP
fis-125	263	24	parabola	parabola	PROPN
fis-125	263	25	:	:	PUNCT
fis-125	263	26	2	2	NUM
fis-125	263	27	0	0	NUM
fis-125	263	28	0	0	NUM
fis-125	264	1	|	|	CCONJ
fis-125	264	2	|	|	ADV
fis-125	264	3	2	2	NUM
fis-125	264	4	(	(	PUNCT
fis-125	264	5	)	)	PUNCT
fis-125	264	6	=	=	SYM
fis-125	264	7	1	1	NUM
fis-125	264	8	,	,	PUNCT
fis-125	264	9	=	=	NOUN
fis-125	264	10			NUM
fis-125	265	1			PROPN
fis-125	265	2			NOUN
fis-125	265	3			PROPN
fis-125	265	4			PROPN
fis-125	265	5			PROPN
fis-125	265	6			PROPN
fis-125	265	7			NOUN
fis-125	265	8	i	i	NUM
fis-125	265	9	c	c	NOUN
fis-125	265	10	x	x	SYM
fis-125	265	11	x	x	PUNCT
fis-125	265	12	x	x	PUNCT
fis-125	265	13	d	d	PUNCT
fis-125	265	14	d	d	X
fis-125	265	15	q	q	NOUN
fis-125	265	16	for	for	ADP
fis-125	265	17	=	=	NOUN
fis-125	265	18	2p	2p	NOUN
fis-125	265	19	,	,	PUNCT
fis-125	265	20	the	the	DET
fis-125	265	21	profile	profile	NOUN
fis-125	265	22	is	be	AUX
fis-125	265	23	made	make	VERB
fis-125	265	24	of	of	ADP
fis-125	265	25	two	two	NUM
fis-125	265	26	symmetric	symmetric	ADJ
fis-125	265	27	arcs	arc	NOUN
fis-125	265	28	of	of	ADP
fis-125	265	29	sinusoid	sinusoid	NOUN
fis-125	265	30	:	:	PUNCT
fis-125	265	31	0	0	NUM
fis-125	265	32	0	0	NUM
fis-125	266	1	|	|	ADV
fis-125	266	2	|	|	ADV
fis-125	266	3	(	(	PUNCT
fis-125	266	4	)	)	PUNCT
fis-125	266	5	=	=	SYM
fis-125	266	6	1	1	NUM
fis-125	266	7	sin	sin	NOUN
fis-125	266	8	,	,	PUNCT
fis-125	266	9	=	=	NOUN
fis-125	266	10	2	2	NUM
fis-125	266	11	2	2	NUM
fis-125	266	12			ADJ
fis-125	266	13			PROPN
fis-125	266	14			PROPN
fis-125	266	15			PROPN
fis-125	266	16			PROPN
fis-125	266	17	i	i	NUM
fis-125	266	18	c	c	NOUN
fis-125	267	1	x	x	SYM
fis-125	268	1	x	x	PUNCT
fis-125	269	1	x	x	PUNCT
fis-125	270	1	d	d	PUNCT
fis-125	271	1	d	d	X
fis-125	272	1	q	q	X
fis-125	273	1	the	the	DET
fis-125	273	2	greater	great	ADJ
fis-125	273	3	p	p	NOUN
fis-125	273	4	,	,	PUNCT
fis-125	273	5	the	the	PRON
fis-125	273	6	greater	great	ADJ
fis-125	273	7	the	the	DET
fis-125	273	8	size	size	NOUN
fis-125	273	9	of	of	ADP
fis-125	273	10	the	the	DET
fis-125	273	11	damage	damage	NOUN
fis-125	273	12	zone	zone	NOUN
fis-125	273	13	and	and	CCONJ
fis-125	273	14	the	the	DET
fis-125	273	15	damage	damage	NOUN
fis-125	273	16	field	field	NOUN
fis-125	273	17	,	,	PUNCT
fis-125	273	18	see	see	VERB
fis-125	273	19	fig	fig	NOUN
fis-125	273	20	.	.	PUNCT
fis-125	274	1	4	4	X
fis-125	274	2	.	.	NUM
fis-125	274	3	dissipated	dissipate	VERB
fis-125	274	4	energy	energy	NOUN
fis-125	274	5	in	in	ADP
fis-125	274	6	a	a	DET
fis-125	274	7	localization	localization	NOUN
fis-125	274	8	zone	zone	NOUN
fis-125	274	9	by	by	ADP
fis-125	274	10	virtue	virtue	NOUN
fis-125	274	11	of	of	ADP
fis-125	274	12	property	property	NOUN
fis-125	274	13	1	1	NUM
fis-125	274	14	and	and	CCONJ
fis-125	274	15	(	(	PUNCT
fis-125	274	16	17	17	NUM
fis-125	274	17	)	)	PUNCT
fis-125	274	18	the	the	DET
fis-125	274	19	energy	energy	NOUN
fis-125	274	20	dissipated	dissipate	VERB
fis-125	274	21	in	in	ADP
fis-125	274	22	an	an	DET
fis-125	274	23	inner	inner	ADJ
fis-125	274	24	localization	localization	NOUN
fis-125	274	25	zone	zone	NOUN
fis-125	274	26	when	when	SCONJ
fis-125	274	27	the	the	DET
fis-125	274	28	stress	stress	NOUN
fis-125	274	29	is	be	AUX
fis-125	274	30			PROPN
fis-125	274	31	is	be	AUX
fis-125	274	32	given	give	VERB
fis-125	274	33	by	by	ADP
fis-125	274	34	(	(	PUNCT
fis-125	274	35	)	)	PUNCT
fis-125	274	36	2	2	NUM
fis-125	274	37	2	2	NUM
fis-125	274	38	0	0	NUM
fis-125	274	39	(	(	PUNCT
fis-125	274	40	)	)	PUNCT
fis-125	274	41	1	1	NUM
fis-125	274	42	(	(	PUNCT
fis-125	274	43	)	)	PUNCT
fis-125	274	44	=	=	SYM
fis-125	274	45	(	(	PUNCT
fis-125	274	46	)	)	PUNCT
fis-125	274	47	(	(	PUNCT
fis-125	274	48	(	(	PUNCT
fis-125	274	49	)	)	PUNCT
fis-125	274	50	)	)	PUNCT
fis-125	274	51	2	2	NUM
fis-125	274	52			NOUN
fis-125	274	53			X
fis-125	274	54			X
fis-125	274	55			X
fis-125	274	56			PROPN
fis-125	274	57			VERB
fis-125	274	58			PROPN
fis-125	274	59			NOUN
fis-125	274	60			PROPN
fis-125	274	61			PROPN
fis-125	274	62			PROPN
fis-125	274	63			PROPN
fis-125	274	64			PROPN
fis-125	274	65			ADJ
fis-125	274	66	x	x	X
fis-125	274	67	di	di	NOUN
fis-125	274	68	d	d	X
fis-125	274	69	x	x	X
fis-125	274	70	di	di	X
fis-125	274	71	e	e	X
fis-125	274	72	x	x	PROPN
fis-125	274	73	w	w	PROPN
fis-125	274	74	x	x	X
fis-125	274	75	dx	dx	NOUN
fis-125	274	76	by	by	ADP
fis-125	274	77	symmetry	symmetry	NOUN
fis-125	274	78	,	,	PUNCT
fis-125	274	79	it	it	PRON
fis-125	274	80	is	be	AUX
fis-125	274	81	twice	twice	DET
fis-125	274	82	the	the	DET
fis-125	274	83	dissipated	dissipate	VERB
fis-125	274	84	energy	energy	NOUN
fis-125	274	85	in	in	ADP
fis-125	274	86	a	a	DET
fis-125	274	87	half	half	ADJ
fis-125	274	88	-	-	PUNCT
fis-125	274	89	zone	zone	NOUN
fis-125	274	90	.	.	PUNCT
fis-125	275	1	using	use	VERB
fis-125	275	2	the	the	DET
fis-125	275	3	change	change	NOUN
fis-125	275	4	of	of	ADP
fis-125	275	5	variable	variable	ADJ
fis-125	275	6	x	x	NOUN
fis-125	275	7	and	and	CCONJ
fis-125	275	8	(	(	PUNCT
fis-125	275	9	25	25	NUM
fis-125	275	10	)	)	PUNCT
fis-125	275	11	,	,	PUNCT
fis-125	275	12	we	we	PRON
fis-125	275	13	obtain	obtain	VERB
fis-125	275	14	2	2	NUM
fis-125	275	15	(	(	PUNCT
fis-125	275	16	)	)	PUNCT
fis-125	275	17	0	0	NUM
fis-125	275	18	0	0	NUM
fis-125	275	19	2	2	NUM
fis-125	275	20	0	0	NUM
fis-125	275	21	0	0	NUM
fis-125	275	22	0	0	NUM
fis-125	275	23	4	4	NUM
fis-125	275	24	(	(	PUNCT
fis-125	275	25	)	)	PUNCT
fis-125	275	26	(	(	PUNCT
fis-125	275	27	(	(	PUNCT
fis-125	275	28	)	)	PUNCT
fis-125	275	29	)	)	PUNCT
fis-125	276	1	(	(	PUNCT
fis-125	276	2	)	)	PUNCT
fis-125	276	3	=	=	SYM
fis-125	276	4	2	2	NUM
fis-125	276	5	(	(	PUNCT
fis-125	276	6	)	)	PUNCT
fis-125	276	7	(	(	PUNCT
fis-125	276	8	(	(	PUNCT
fis-125	276	9	)	)	PUNCT
fis-125	276	10	)	)	PUNCT
fis-125	277	1			X
fis-125	277	2			PROPN
fis-125	277	3			NOUN
fis-125	277	4			X
fis-125	277	5			NOUN
fis-125	277	6			X
fis-125	277	7			X
fis-125	277	8			X
fis-125	277	9			PROPN
fis-125	277	10			NOUN
fis-125	277	11			VERB
fis-125	277	12			PROPN
fis-125	277	13			PROPN
fis-125	277	14			NOUN
fis-125	277	15	d	d	PROPN
fis-125	277	16	w	w	NOUN
fis-125	277	17	s	s	NOUN
fis-125	277	18	s	s	PROPN
fis-125	277	19	d	d	X
fis-125	277	20	s	s	PROPN
fis-125	277	21	w	w	NOUN
fis-125	277	22	s	s	X
fis-125	277	23	s	s	NOUN
fis-125	277	24	s	s	X
fis-125	277	25			ADJ
fis-125	277	26	(	(	PUNCT
fis-125	277	27	33	33	NUM
fis-125	277	28	)	)	PUNCT
fis-125	277	29	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	278	1	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	278	2	k.	k.	PROPN
fis-125	278	3	pham	pham	PROPN
fis-125	278	4	et	et	PROPN
fis-125	278	5	alii	alii	PROPN
fis-125	278	6	,	,	PUNCT
fis-125	278	7	frattura	frattura	PROPN
fis-125	278	8	ed	ed	PROPN
fis-125	278	9	integrità	integrità	PROPN
fis-125	278	10	strutturale	strutturale	PROPN
fis-125	278	11	,	,	PUNCT
fis-125	278	12	19	19	NUM
fis-125	278	13	(	(	PUNCT
fis-125	278	14	2012	2012	NUM
fis-125	278	15	)	)	PUNCT
fis-125	278	16	5	5	NUM
fis-125	278	17	-	-	SYM
fis-125	278	18	19	19	NUM
fis-125	278	19	;	;	PUNCT
fis-125	278	20	doi	doi	NOUN
fis-125	278	21	:	:	PUNCT
fis-125	278	22	10.3221	10.3221	NUM
fis-125	278	23	/	/	SYM
fis-125	278	24	igf	igf	PROPN
fis-125	278	25	-	-	PUNCT
fis-125	278	26	esis.19.01	esis.19.01	ADJ
fis-125	278	27	15	15	NUM
fis-125	278	28	figure	figure	NOUN
fis-125	278	29	4	4	NUM
fis-125	278	30	:	:	PUNCT
fis-125	278	31	damage	damage	NOUN
fis-125	278	32	profile	profile	NOUN
fis-125	278	33	in	in	ADP
fis-125	278	34	the	the	DET
fis-125	278	35	localization	localization	NOUN
fis-125	278	36	zone	zone	NOUN
fis-125	278	37	when	when	SCONJ
fis-125	278	38	the	the	DET
fis-125	278	39	bar	bar	NOUN
fis-125	278	40	breaks	break	NOUN
fis-125	278	41	,	,	PUNCT
fis-125	278	42	for	for	ADP
fis-125	278	43	=	=	PROPN
fis-125	278	44	4q	4q	NOUN
fis-125	278	45	and	and	CCONJ
fis-125	278	46	different	different	ADJ
fis-125	278	47	values	value	NOUN
fis-125	278	48	of	of	ADP
fis-125	278	49	the	the	DET
fis-125	278	50	parameter	parameter	NOUN
fis-125	278	51	p	p	PROPN
fis-125	278	52	(	(	PUNCT
fis-125	278	53	=	=	PROPN
fis-125	278	54	1/	1/	NUM
fis-125	278	55	2,1,2,4p	2,1,2,4p	NUM
fis-125	278	56	)	)	PUNCT
fis-125	278	57	in	in	ADP
fis-125	278	58	the	the	DET
fis-125	278	59	family	family	NOUN
fis-125	278	60	of	of	ADP
fis-125	278	61	brittle	brittle	ADJ
fis-125	278	62	materials	material	NOUN
fis-125	278	63	of	of	ADP
fis-125	278	64	example	example	NOUN
fis-125	278	65	1	1	NUM
fis-125	278	66	.	.	X
fis-125	278	67	figure	figure	VERB
fis-125	278	68	5	5	NUM
fis-125	278	69	:	:	PUNCT
fis-125	278	70	the	the	DET
fis-125	278	71	damage	damage	NOUN
fis-125	278	72	profile	profile	NOUN
fis-125	278	73	for	for	ADP
fis-125	278	74	a	a	DET
fis-125	278	75	given	give	VERB
fis-125	278	76	t	t	NOUN
fis-125	278	77	and	and	CCONJ
fis-125	278	78	its	its	PRON
fis-125	278	79	evolution	evolution	NOUN
fis-125	278	80	with	with	ADP
fis-125	278	81	t	t	NOUN
fis-125	278	82	by	by	ADP
fis-125	278	83	assuming	assume	VERB
fis-125	278	84	that	that	SCONJ
fis-125	278	85			PROPN
fis-125	278	86	tt	tt	PROPN
fis-125	278	87	is	be	AUX
fis-125	278	88	decreasing	decrease	VERB
fis-125	278	89	in	in	ADP
fis-125	278	90	the	the	DET
fis-125	278	91	case	case	NOUN
fis-125	278	92	of	of	ADP
fis-125	278	93	the	the	DET
fis-125	278	94	model	model	NOUN
fis-125	278	95	of	of	ADP
fis-125	278	96	example	example	NOUN
fis-125	278	97	1	1	NUM
fis-125	278	98	with	with	ADP
fis-125	278	99	=	=	NOUN
fis-125	278	100	2p	2p	NUM
fis-125	278	101	and	and	CCONJ
fis-125	278	102	=	=	SYM
fis-125	278	103	4q	4q	NOUN
fis-125	278	104	.	.	PUNCT
fis-125	279	1	the	the	DET
fis-125	279	2	rupture	rupture	NOUN
fis-125	279	3	occurs	occur	VERB
fis-125	279	4	when	when	SCONJ
fis-125	279	5	=	=	NOUN
fis-125	279	6	0	0	NUM
fis-125	279	7	t	t	PROPN
fis-125	279	8	and	and	CCONJ
fis-125	279	9	(	(	PUNCT
fis-125	279	10	)	)	PUNCT
fis-125	279	11	=	=	SYM
fis-125	280	1	1	1	PROPN
fis-125	280	2			PROPN
fis-125	280	3	t	t	NOUN
fis-125	280	4	.	.	PUNCT
fis-125	281	1	we	we	PRON
fis-125	281	2	check	check	VERB
fis-125	281	3	numerically	numerically	ADV
fis-125	281	4	that	that	SCONJ
fis-125	281	5	(	(	PUNCT
fis-125	281	6	)	)	PUNCT
fis-125	281	7			PROPN
fis-125	281	8			PROPN
fis-125	281	9	d	d	NOUN
fis-125	281	10	is	be	AUX
fis-125	281	11	decreasing	decrease	VERB
fis-125	281	12	.	.	PUNCT
fis-125	282	1	it	it	PRON
fis-125	282	2	is	be	AUX
fis-125	282	3	easy	easy	ADJ
fis-125	282	4	to	to	PART
fis-125	282	5	check	check	VERB
fis-125	282	6	that	that	PRON
fis-125	282	7	(	(	PUNCT
fis-125	282	8	)	)	PUNCT
fis-125	282	9			PROPN
fis-125	282	10			ADJ
fis-125	282	11	d	d	PROPN
fis-125	282	12	is	be	AUX
fis-125	282	13	decreasing	decrease	VERB
fis-125	282	14	with	with	ADP
fis-125	282	15	(	(	PUNCT
fis-125	282	16	)	)	PUNCT
fis-125	282	17	=	=	SYM
fis-125	282	18	0d	0d	NUM
fis-125	282	19	c	c	NOUN
fis-125	282	20	while	while	SCONJ
fis-125	282	21	(	(	PUNCT
fis-125	282	22	0)d	0)d	PROPN
fis-125	282	23	represents	represent	VERB
fis-125	282	24	the	the	DET
fis-125	282	25	dissipated	dissipate	VERB
fis-125	282	26	energy	energy	NOUN
fis-125	282	27	in	in	ADP
fis-125	282	28	a	a	DET
fis-125	282	29	localization	localization	NOUN
fis-125	282	30	zone	zone	NOUN
fis-125	282	31	during	during	ADP
fis-125	282	32	to	to	ADP
fis-125	282	33	the	the	DET
fis-125	282	34	process	process	NOUN
fis-125	282	35	of	of	ADP
fis-125	282	36	damage	damage	NOUN
fis-125	282	37	up	up	ADP
fis-125	282	38	to	to	ADP
fis-125	282	39	the	the	DET
fis-125	282	40	rupture	rupture	NOUN
fis-125	282	41	.	.	PUNCT
fis-125	283	1	let	let	VERB
fis-125	283	2	us	we	PRON
fis-125	283	3	call	call	VERB
fis-125	283	4	fracture	fracture	NOUN
fis-125	283	5	energy	energy	NOUN
fis-125	283	6	and	and	CCONJ
fis-125	283	7	denote	denote	VERB
fis-125	283	8	by	by	ADP
fis-125	283	9	cg	cg	NOUN
fis-125	283	10	this	this	DET
fis-125	283	11	energy	energy	NOUN
fis-125	283	12	by	by	ADP
fis-125	283	13	reference	reference	NOUN
fis-125	283	14	to	to	ADP
fis-125	283	15	the	the	DET
fis-125	283	16	griffith	griffith	PROPN
fis-125	283	17	surface	surface	NOUN
fis-125	283	18	energy	energy	NOUN
fis-125	283	19	density	density	NOUN
fis-125	283	20	in	in	ADP
fis-125	283	21	griffith	griffith	PROPN
fis-125	283	22	theory	theory	NOUN
fis-125	283	23	of	of	ADP
fis-125	283	24	fracture	fracture	NOUN
fis-125	283	25	.	.	PUNCT
fis-125	284	1	since	since	SCONJ
fis-125	284	2	(	(	PUNCT
fis-125	284	3	0	0	NUM
fis-125	284	4	)	)	PUNCT
fis-125	284	5	=	=	NOUN
fis-125	284	6	1	1	NOUN
fis-125	284	7	,	,	PUNCT
fis-125	284	8	we	we	PRON
fis-125	284	9	have	have	VERB
fis-125	284	10	property	property	NOUN
fis-125	284	11	6	6	NUM
fis-125	284	12	(	(	PUNCT
fis-125	284	13	fracture	fracture	NOUN
fis-125	284	14	energy	energy	NOUN
fis-125	284	15	)	)	PUNCT
fis-125	284	16	the	the	DET
fis-125	284	17	dissipated	dissipate	VERB
fis-125	284	18	energy	energy	NOUN
fis-125	284	19	in	in	ADP
fis-125	284	20	an	an	DET
fis-125	284	21	inner	inner	ADJ
fis-125	284	22	localization	localization	NOUN
fis-125	284	23	zone	zone	NOUN
fis-125	284	24	during	during	ADP
fis-125	284	25	the	the	DET
fis-125	284	26	damage	damage	NOUN
fis-125	284	27	process	process	NOUN
fis-125	284	28	up	up	ADP
fis-125	284	29	to	to	ADP
fis-125	284	30	the	the	DET
fis-125	284	31	rupture	rupture	NOUN
fis-125	284	32	is	be	AUX
fis-125	284	33	a	a	DET
fis-125	284	34	material	material	ADJ
fis-125	284	35	constant	constant	ADJ
fis-125	284	36	cg	cg	NOUN
fis-125	284	37	which	which	PRON
fis-125	284	38	is	be	AUX
fis-125	284	39	given	give	VERB
fis-125	284	40	by	by	ADP
fis-125	284	41	1	1	NUM
fis-125	284	42	00	00	NUM
fis-125	284	43	=	=	SYM
fis-125	284	44	8	8	NUM
fis-125	284	45	(	(	PUNCT
fis-125	284	46	)	)	PUNCT
fis-125	284	47			X
fis-125	284	48	cg	cg	X
fis-125	284	49	e	e	X
fis-125	284	50	w	w	PROPN
fis-125	284	51	d	d	PROPN
fis-125	284	52	(	(	PUNCT
fis-125	284	53	34	34	NUM
fis-125	284	54	)	)	PUNCT
fis-125	284	55	because	because	SCONJ
fis-125	284	56	of	of	ADP
fis-125	284	57	the	the	DET
fis-125	284	58	lack	lack	NOUN
fis-125	284	59	of	of	ADP
fis-125	284	60	constraint	constraint	NOUN
fis-125	284	61	on	on	ADP
fis-125	284	62	the	the	DET
fis-125	284	63	damage	damage	NOUN
fis-125	284	64	at	at	ADP
fis-125	284	65	the	the	DET
fis-125	284	66	boundary	boundary	NOUN
fis-125	284	67	,	,	PUNCT
fis-125	284	68	the	the	DET
fis-125	284	69	dissipated	dissipate	VERB
fis-125	284	70	energy	energy	NOUN
fis-125	284	71	in	in	ADP
fis-125	284	72	a	a	DET
fis-125	284	73	boundary	boundary	ADJ
fis-125	284	74	localization	localization	NOUN
fis-125	284	75	zone	zone	NOUN
fis-125	284	76	up	up	ADP
fis-125	284	77	to	to	ADP
fis-125	284	78	the	the	DET
fis-125	284	79	rupture	rupture	NOUN
fis-125	284	80	is	be	AUX
fis-125	284	81	/	/	SYM
fis-125	284	82	2cg	2cg	ADJ
fis-125	284	83	.	.	PUNCT
fis-125	285	1	example	example	NOUN
fis-125	285	2	6	6	NUM
fis-125	285	3	in	in	ADP
fis-125	285	4	the	the	DET
fis-125	285	5	case	case	NOUN
fis-125	285	6	of	of	ADP
fis-125	285	7	the	the	DET
fis-125	285	8	family	family	NOUN
fis-125	285	9	of	of	ADP
fis-125	285	10	strongly	strongly	ADV
fis-125	285	11	materials	material	NOUN
fis-125	285	12	of	of	ADP
fis-125	285	13	example	example	NOUN
fis-125	285	14	1	1	NUM
fis-125	285	15	the	the	DET
fis-125	285	16	fracture	fracture	NOUN
fis-125	285	17	energy	energy	NOUN
fis-125	285	18	is	be	AUX
fis-125	285	19	given	give	VERB
fis-125	285	20	by	by	ADP
fis-125	285	21	1	1	NUM
fis-125	285	22	0	0	NUM
fis-125	285	23	=	=	SYM
fis-125	285	24	2	2	NUM
fis-125	285	25	,	,	PUNCT
fis-125	285	26	=	=	PROPN
fis-125	285	27	1	1	NUM
fis-125	285	28			NOUN
fis-125	286	1	p	p	X
fis-125	286	2	c	c	PROPN
fis-125	287	1	p	p	NOUN
fis-125	287	2	c	c	PROPN
fis-125	287	3	p	p	NOUN
fis-125	287	4	q	q	PROPN
fis-125	287	5	g	g	PROPN
fis-125	287	6	j	j	PROPN
fis-125	287	7	j	j	PROPN
fis-125	287	8	v	v	ADP
fis-125	287	9	dv	dv	PROPN
fis-125	287	10	p	p	PROPN
fis-125	287	11	(	(	PUNCT
fis-125	287	12	35	35	NUM
fis-125	287	13	)	)	PUNCT
fis-125	287	14	thus	thus	ADV
fis-125	287	15	cg	cg	NOUN
fis-125	287	16	is	be	AUX
fis-125	287	17	proportional	proportional	ADJ
fis-125	287	18	to	to	ADP
fis-125	287	19	the	the	DET
fis-125	287	20	product	product	NOUN
fis-125	287	21	of	of	ADP
fis-125	287	22	the	the	DET
fis-125	287	23	critical	critical	ADJ
fis-125	287	24	stress	stress	NOUN
fis-125	287	25	by	by	ADP
fis-125	287	26	the	the	DET
fis-125	287	27	internal	internal	ADJ
fis-125	287	28	length	length	NOUN
fis-125	287	29	,	,	PUNCT
fis-125	287	30	the	the	DET
fis-125	287	31	coefficient	coefficient	NOUN
fis-125	287	32	of	of	ADP
fis-125	287	33	proportionality	proportionality	NOUN
fis-125	287	34	depending	depend	VERB
fis-125	287	35	on	on	ADP
fis-125	287	36	the	the	DET
fis-125	287	37	exponents	exponent	NOUN
fis-125	287	38	p	p	NOUN
fis-125	287	39	and	and	CCONJ
fis-125	287	40	q	q	NOUN
fis-125	287	41	.	.	PUNCT
fis-125	288	1	the	the	DET
fis-125	288	2	force	force	NOUN
fis-125	288	3	-	-	PUNCT
fis-125	288	4	displacement	displacement	ADJ
fis-125	288	5	relation	relation	NOUN
fis-125	288	6	the	the	DET
fis-125	288	7	time	time	NOUN
fis-125	288	8	is	be	AUX
fis-125	288	9	fixed	fix	VERB
fis-125	288	10	and	and	CCONJ
fis-125	288	11	we	we	PRON
fis-125	288	12	still	still	ADV
fis-125	288	13	omit	omit	VERB
fis-125	288	14	the	the	DET
fis-125	288	15	index	index	NOUN
fis-125	288	16	t	t	NOUN
fis-125	288	17	.	.	PUNCT
fis-125	289	1	let	let	VERB
fis-125	289	2	u	u	PRON
fis-125	289	3	be	be	AUX
fis-125	289	4	the	the	DET
fis-125	289	5	prescribed	prescribed	ADJ
fis-125	289	6	displacement	displacement	NOUN
fis-125	289	7	,	,	PUNCT
fis-125	289	8	=	=	SYM
fis-125	289	9	/	/	PUNCT
fis-125	290	1	u	u	X
fis-125	290	2	l	l	NOUN
fis-125	290	3	the	the	DET
fis-125	290	4	average	average	ADJ
fis-125	290	5	strain	strain	NOUN
fis-125	290	6	and	and	CCONJ
fis-125	290	7			PROPN
fis-125	290	8	the	the	DET
fis-125	290	9	stress	stress	NOUN
fis-125	290	10	in	in	ADP
fis-125	290	11	the	the	DET
fis-125	290	12	bar	bar	NOUN
fis-125	290	13	which	which	PRON
fis-125	290	14	contains	contain	VERB
fis-125	290	15	1n	1n	NUM
fis-125	290	16	localization	localization	NOUN
fis-125	290	17	zones	zone	NOUN
fis-125	290	18	.	.	PUNCT
fis-125	291	1	using	use	VERB
fis-125	291	2	(	(	PUNCT
fis-125	291	3	11	11	NUM
fis-125	291	4	)	)	PUNCT
fis-125	291	5	,	,	PUNCT
fis-125	291	6	recalling	recall	VERB
fis-125	291	7	that	that	SCONJ
fis-125	291	8	=	=	SYM
fis-125	291	9	0	0	PROPN
fis-125	291	10	outside	outside	ADP
fis-125	291	11	the	the	DET
fis-125	291	12	localization	localization	NOUN
fis-125	291	13	zones	zone	NOUN
fis-125	291	14	and	and	CCONJ
fis-125	291	15	that	that	SCONJ
fis-125	291	16	all	all	DET
fis-125	291	17	localization	localization	NOUN
fis-125	291	18	zones	zone	NOUN
fis-125	291	19	have	have	VERB
fis-125	291	20	the	the	DET
fis-125	291	21	same	same	ADJ
fis-125	291	22	size	size	NOUN
fis-125	291	23	2	2	NUM
fis-125	291	24	(	(	PUNCT
fis-125	291	25	)	)	PUNCT
fis-125	291	26	d	d	NOUN
fis-125	291	27	and	and	CCONJ
fis-125	291	28	the	the	DET
fis-125	291	29	same	same	ADJ
fis-125	291	30	profile	profile	NOUN
fis-125	291	31	,	,	PUNCT
fis-125	291	32	we	we	PRON
fis-125	291	33	get	get	VERB
fis-125	291	34	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	291	35	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	291	36	k.	k.	PROPN
fis-125	291	37	pham	pham	PROPN
fis-125	291	38	et	et	PROPN
fis-125	291	39	alii	alii	PROPN
fis-125	291	40	,	,	PUNCT
fis-125	291	41	frattura	frattura	PROPN
fis-125	291	42	ed	ed	PROPN
fis-125	291	43	integrità	integrità	PROPN
fis-125	291	44	strutturale	strutturale	PROPN
fis-125	291	45	,	,	PUNCT
fis-125	291	46	19	19	NUM
fis-125	291	47	(	(	PUNCT
fis-125	291	48	2012	2012	NUM
fis-125	291	49	)	)	PUNCT
fis-125	291	50	5	5	NUM
fis-125	291	51	-	-	SYM
fis-125	291	52	19	19	NUM
fis-125	291	53	;	;	PUNCT
fis-125	291	54	doi	doi	NOUN
fis-125	291	55	:	:	PUNCT
fis-125	291	56	10.3221	10.3221	NUM
fis-125	291	57	/	/	SYM
fis-125	291	58	igf	igf	PROPN
fis-125	291	59	-	-	PUNCT
fis-125	291	60	esis.19.01	esis.19.01	ADJ
fis-125	291	61	16	16	NUM
fis-125	291	62	0	0	NUM
fis-125	291	63	1	1	NUM
fis-125	291	64	0	0	NUM
fis-125	291	65	2	2	NUM
fis-125	291	66	(	(	PUNCT
fis-125	291	67	)	)	PUNCT
fis-125	291	68	=	=	SYM
fis-125	291	69	(	(	PUNCT
fis-125	291	70	(	(	PUNCT
fis-125	291	71	)	)	PUNCT
fis-125	291	72	)	)	PUNCT
fis-125	292	1	=	=	PUNCT
fis-125	292	2	(	(	PUNCT
fis-125	292	3	(	(	PUNCT
fis-125	292	4	)	)	PUNCT
fis-125	292	5	)	)	PUNCT
fis-125	292	6			NOUN
fis-125	292	7			X
fis-125	292	8			PROPN
fis-125	292	9			X
fis-125	292	10			NOUN
fis-125	292	11			ADJ
fis-125	292	12			PROPN
fis-125	292	13			PROPN
fis-125	292	14			PROPN
fis-125	292	15			NOUN
fis-125	292	16			PUNCT
fis-125	292	17			PUNCT
fis-125	292	18	l	l	X
fis-125	292	19	l	l	NOUN
fis-125	292	20	nd	nd	PRON
fis-125	292	21	u	u	NOUN
fis-125	292	22	s	s	NOUN
fis-125	292	23	x	x	X
fis-125	292	24	dx	dx	PROPN
fis-125	292	25	n	n	PROPN
fis-125	292	26	s	s	PART
fis-125	292	27	x	x	X
fis-125	292	28	dx	dx	PROPN
fis-125	292	29	e	e	ADP
fis-125	292	30	the	the	DET
fis-125	292	31	integral	integral	ADJ
fis-125	292	32	1	1	NUM
fis-125	292	33	(	(	PUNCT
fis-125	292	34	(	(	PUNCT
fis-125	292	35	)	)	PUNCT
fis-125	292	36	)	)	PUNCT
fis-125	293	1			PROPN
fis-125	293	2	s	s	PART
fis-125	293	3	x	x	X
fis-125	293	4	dx	dx	PROPN
fis-125	293	5			PROPN
fis-125	293	6	can	can	AUX
fis-125	293	7	be	be	AUX
fis-125	293	8	transformed	transform	VERB
fis-125	293	9	into	into	ADP
fis-125	293	10	an	an	DET
fis-125	293	11	integral	integral	ADJ
fis-125	293	12	over	over	ADP
fis-125	293	13	the	the	DET
fis-125	293	14	range	range	NOUN
fis-125	293	15	of	of	ADP
fis-125	293	16			NOUN
fis-125	293	17	by	by	ADP
fis-125	293	18	using	use	VERB
fis-125	293	19	(	(	PUNCT
fis-125	293	20	25	25	NUM
fis-125	293	21	)	)	PUNCT
fis-125	293	22	.	.	PUNCT
fis-125	294	1	indeed	indeed	ADV
fis-125	294	2	,	,	PUNCT
fis-125	294	3	by	by	ADP
fis-125	294	4	symmetry	symmetry	NOUN
fis-125	294	5	it	it	PRON
fis-125	294	6	can	can	AUX
fis-125	294	7	reads	read	VERB
fis-125	294	8	as	as	ADP
fis-125	294	9	1	1	NUM
fis-125	294	10	(	(	PUNCT
fis-125	294	11	)	)	SYM
fis-125	294	12	1	1	NUM
fis-125	294	13	2	2	NUM
fis-125	294	14	(	(	PUNCT
fis-125	294	15	(	(	PUNCT
fis-125	294	16	)	)	PUNCT
fis-125	294	17	)	)	PUNCT
fis-125	294	18			PROPN
fis-125	294	19			X
fis-125	294	20			VERB
fis-125	294	21	x	x	NOUN
fis-125	294	22	x	x	PUNCT
fis-125	295	1	d	d	NOUN
fis-125	295	2	s	s	X
fis-125	295	3	x	x	X
fis-125	295	4	dx	dx	PROPN
fis-125	295	5	.	.	PUNCT
fis-125	296	1	making	make	VERB
fis-125	296	2	the	the	DET
fis-125	296	3	change	change	NOUN
fis-125	296	4	of	of	ADP
fis-125	296	5	variables	variable	NOUN
fis-125	296	6	x	x	ADV
fis-125	296	7	,	,	PUNCT
fis-125	296	8	since	since	SCONJ
fis-125	296	9	=	=	PRON
fis-125	296	10	(	(	PUNCT
fis-125	296	11	,	,	PUNCT
fis-125	296	12	)	)	PUNCT
fis-125	296	13			X
fis-125	296	14			PROPN
fis-125	296	15	d	d	ADJ
fis-125	296	16	h	h	NOUN
fis-125	296	17	dx	dx	PROPN
fis-125	296	18	,	,	PUNCT
fis-125	296	19	we	we	PRON
fis-125	296	20	obtain	obtain	VERB
fis-125	296	21	(	(	PUNCT
fis-125	296	22	)	)	PUNCT
fis-125	296	23	01	01	NUM
fis-125	297	1	(	(	PUNCT
fis-125	297	2	)	)	PUNCT
fis-125	297	3	(	(	PUNCT
fis-125	297	4	(	(	PUNCT
fis-125	297	5	)	)	PUNCT
fis-125	297	6	)	)	PUNCT
fis-125	297	7	=	=	SYM
fis-125	297	8	2	2	NUM
fis-125	297	9	(	(	PUNCT
fis-125	297	10	,	,	PUNCT
fis-125	297	11	)	)	PUNCT
fis-125	297	12			X
fis-125	297	13			PROPN
fis-125	297	14			NOUN
fis-125	297	15			PRON
fis-125	297	16			NUM
fis-125	297	17			NOUN
fis-125	297	18			PUNCT
fis-125	298	1	s	s	X
fis-125	298	2	d	d	X
fis-125	298	3	s	s	X
fis-125	298	4	x	x	X
fis-125	298	5	dx	dx	PROPN
fis-125	298	6	h	h	PROPN
fis-125	298	7	recalling	recall	VERB
fis-125	298	8	(	(	PUNCT
fis-125	298	9	28	28	NUM
fis-125	298	10	)	)	PUNCT
fis-125	298	11	,	,	PUNCT
fis-125	298	12	we	we	PRON
fis-125	298	13	finally	finally	ADV
fis-125	298	14	obtain	obtain	VERB
fis-125	298	15	the	the	DET
fis-125	298	16	overall	overall	ADJ
fis-125	298	17	stress	stress	NOUN
fis-125	298	18	-	-	PUNCT
fis-125	298	19	strain	strain	NOUN
fis-125	298	20	relation	relation	NOUN
fis-125	298	21	1=	1=	NUM
fis-125	298	22	(	(	PUNCT
fis-125	298	23	)	)	PUNCT
fis-125	298	24	(	(	PUNCT
fis-125	298	25	)	)	PUNCT
fis-125	298	26			PROPN
fis-125	298	27			PROPN
fis-125	298	28			PROPN
fis-125	298	29			PROPN
fis-125	298	30			VERB
fis-125	298	31	e	e	PROPN
fis-125	298	32	dn	dn	PROPN
fis-125	298	33	l	l	PROPN
fis-125	298	34	(	(	PUNCT
fis-125	298	35	36	36	NUM
fis-125	298	36	)	)	PUNCT
fis-125	298	37	with	with	ADP
fis-125	298	38	(	(	PUNCT
fis-125	298	39	)	)	PUNCT
fis-125	298	40	1	1	NUM
fis-125	298	41	0	0	NUM
fis-125	298	42	0	0	NUM
fis-125	298	43	0	0	NUM
fis-125	298	44	1	1	NUM
fis-125	298	45	(	(	PUNCT
fis-125	298	46	)	)	PUNCT
fis-125	298	47	=	=	SYM
fis-125	298	48	,	,	PUNCT
fis-125	298	49	(	(	PUNCT
fis-125	298	50	)	)	PUNCT
fis-125	298	51	=	=	SYM
fis-125	298	52	2	2	NUM
fis-125	298	53	(	(	PUNCT
fis-125	298	54	)	)	PUNCT
fis-125	298	55	(	(	PUNCT
fis-125	298	56	,	,	PUNCT
fis-125	298	57	)	)	PUNCT
fis-125	298	58			X
fis-125	298	59			X
fis-125	299	1			ADJ
fis-125	299	2			PROPN
fis-125	299	3			NOUN
fis-125	299	4			PROPN
fis-125	299	5			PROPN
fis-125	299	6			NOUN
fis-125	299	7			PROPN
fis-125	299	8			PROPN
fis-125	299	9			NOUN
fis-125	299	10			PROPN
fis-125	299	11			PROPN
fis-125	299	12			PROPN
fis-125	300	1			ADJ
fis-125	300	2			NOUN
fis-125	300	3	e	e	ADP
fis-125	300	4	d	d	PROPN
fis-125	300	5	d	d	X
fis-125	300	6	s	s	X
fis-125	300	7	e	e	X
fis-125	300	8	e	e	X
fis-125	300	9	h	h	X
fis-125	300	10	(	(	PUNCT
fis-125	300	11	37	37	NUM
fis-125	300	12	)	)	PUNCT
fis-125	300	13	remark	remark	NOUN
fis-125	300	14	3	3	NUM
fis-125	300	15	for	for	ADP
fis-125	300	16	a	a	DET
fis-125	300	17	given	give	VERB
fis-125	300	18	n	n	NOUN
fis-125	300	19	,	,	PUNCT
fis-125	300	20	(	(	PUNCT
fis-125	300	21	36	36	NUM
fis-125	300	22	)	)	PUNCT
fis-125	300	23	gives	give	VERB
fis-125	300	24	the	the	DET
fis-125	300	25	average	average	ADJ
fis-125	300	26	strain	strain	NOUN
fis-125	300	27	in	in	ADP
fis-125	300	28	term	term	NOUN
fis-125	300	29	of	of	ADP
fis-125	300	30	the	the	DET
fis-125	300	31	stress	stress	NOUN
fis-125	300	32	.	.	PUNCT
fis-125	301	1	that	that	PRON
fis-125	301	2	corresponds	correspond	VERB
fis-125	301	3	to	to	ADP
fis-125	301	4	a	a	DET
fis-125	301	5	curve	curve	NOUN
fis-125	301	6	in	in	ADP
fis-125	301	7	the	the	DET
fis-125	301	8			PROPN
fis-125	301	9			PROPN
fis-125	301	10	plane	plane	NOUN
fis-125	301	11	,	,	PUNCT
fis-125	301	12	parametrized	parametrize	VERB
fis-125	301	13	by	by	ADP
fis-125	301	14			PROPN
fis-125	301	15	varying	vary	VERB
fis-125	301	16	from	from	ADP
fis-125	301	17	0	0	NUM
fis-125	301	18	to	to	ADP
fis-125	301	19	0	0	NUM
fis-125	301	20	.	.	PUNCT
fis-125	302	1	the	the	DET
fis-125	302	2	curve	curve	NOUN
fis-125	302	3	=	=	PROPN
fis-125	302	4	0n	0n	NOUN
fis-125	302	5	is	be	AUX
fis-125	302	6	the	the	DET
fis-125	302	7	segment	segment	NOUN
fis-125	302	8	corresponding	correspond	VERB
fis-125	302	9	to	to	ADP
fis-125	302	10	the	the	DET
fis-125	302	11	elastic	elastic	ADJ
fis-125	302	12	phase	phase	NOUN
fis-125	302	13	.	.	PUNCT
fis-125	303	1	thus	thus	ADV
fis-125	303	2			PROPN
fis-125	303	3	can	can	AUX
fis-125	303	4	be	be	AUX
fis-125	303	5	decomposed	decompose	VERB
fis-125	303	6	into	into	ADP
fis-125	303	7	two	two	NUM
fis-125	303	8	terms	term	NOUN
fis-125	303	9	,	,	PUNCT
fis-125	303	10	one	one	NUM
fis-125	303	11	associated	associate	VERB
fis-125	303	12	with	with	ADP
fis-125	303	13	the	the	DET
fis-125	303	14	elastic	elastic	ADJ
fis-125	303	15	part	part	NOUN
fis-125	303	16	of	of	ADP
fis-125	303	17	bar	bar	NOUN
fis-125	303	18	,	,	PUNCT
fis-125	303	19	the	the	DET
fis-125	303	20	other	other	ADJ
fis-125	303	21	with	with	ADP
fis-125	303	22	the	the	DET
fis-125	303	23	localization	localization	NOUN
fis-125	303	24	zones	zone	NOUN
fis-125	303	25	.	.	PUNCT
fis-125	304	1	note	note	VERB
fis-125	304	2	that	that	SCONJ
fis-125	304	3	1	1	NUM
fis-125	304	4	(	(	PUNCT
fis-125	304	5	)	)	PUNCT
fis-125	304	6			PROPN
fis-125	304	7			NOUN
fis-125	304	8			ADJ
fis-125	304	9	d	d	NOUN
fis-125	304	10	depends	depend	VERB
fis-125	304	11	neither	neither	CCONJ
fis-125	304	12	on	on	ADP
fis-125	304	13	the	the	DET
fis-125	304	14	length	length	NOUN
fis-125	304	15	of	of	ADP
fis-125	304	16	the	the	DET
fis-125	304	17	bar	bar	NOUN
fis-125	304	18	nor	nor	CCONJ
fis-125	304	19	on	on	ADP
fis-125	304	20	the	the	DET
fis-125	304	21	internal	internal	ADJ
fis-125	304	22	length	length	NOUN
fis-125	304	23	of	of	ADP
fis-125	304	24	the	the	DET
fis-125	304	25	material	material	NOUN
fis-125	304	26	.	.	PUNCT
fis-125	305	1	the	the	DET
fis-125	305	2	properties	property	NOUN
fis-125	305	3	of	of	ADP
fis-125	305	4	monotonicity	monotonicity	NOUN
fis-125	305	5	of	of	ADP
fis-125	305	6	the	the	DET
fis-125	305	7	function	function	NOUN
fis-125	305	8	1	1	NUM
fis-125	305	9	(	(	PUNCT
fis-125	305	10	)	)	PUNCT
fis-125	305	11			PROPN
fis-125	305	12			NOUN
fis-125	305	13			NOUN
fis-125	305	14	d	d	PART
fis-125	305	15	play	play	VERB
fis-125	305	16	an	an	DET
fis-125	305	17	important	important	ADJ
fis-125	305	18	role	role	NOUN
fis-125	305	19	on	on	ADP
fis-125	305	20	the	the	DET
fis-125	305	21	presence	presence	NOUN
fis-125	305	22	of	of	ADP
fis-125	305	23	snap	snap	NOUN
fis-125	305	24	-	-	PUNCT
fis-125	305	25	backs	back	NOUN
fis-125	305	26	in	in	ADP
fis-125	305	27	the	the	DET
fis-125	305	28	overall	overall	ADJ
fis-125	305	29	response	response	NOUN
fis-125	305	30	of	of	ADP
fis-125	305	31	the	the	DET
fis-125	305	32	bar	bar	NOUN
fis-125	305	33	,	,	PUNCT
fis-125	305	34	see	see	VERB
fis-125	305	35	the	the	DET
fis-125	305	36	next	next	ADJ
fis-125	305	37	subsection	subsection	NOUN
fis-125	305	38	.	.	PUNCT
fis-125	306	1	since	since	SCONJ
fis-125	306	2	1	1	NUM
fis-125	306	3	0	0	NUM
fis-125	306	4	(	(	PUNCT
fis-125	306	5	)	)	PUNCT
fis-125	306	6	=	=	SYM
fis-125	306	7	0	0	NUM
fis-125	306	8	d	d	NOUN
fis-125	306	9	and	and	CCONJ
fis-125	306	10	since	since	SCONJ
fis-125	306	11	1	1	NUM
fis-125	306	12	(	(	PUNCT
fis-125	306	13	)	)	PUNCT
fis-125	306	14	>	>	PUNCT
fis-125	306	15	0	0	PUNCT
fis-125	307	1	d	d	NOUN
fis-125	307	2	for	for	ADP
fis-125	307	3	0<	0<	PROPN
fis-125	307	4			X
fis-125	307	5	,	,	PUNCT
fis-125	307	6	1	1	NUM
fis-125	307	7	(	(	PUNCT
fis-125	307	8	)	)	PUNCT
fis-125	307	9			PROPN
fis-125	307	10			NOUN
fis-125	307	11			NOUN
fis-125	308	1	d	d	NOUN
fis-125	308	2	is	be	AUX
fis-125	308	3	necessarily	necessarily	ADV
fis-125	308	4	decreasing	decrease	VERB
fis-125	308	5	in	in	ADP
fis-125	308	6	the	the	DET
fis-125	308	7	neighborhood	neighborhood	NOUN
fis-125	308	8	of	of	ADP
fis-125	308	9	0	0	NUM
fis-125	308	10	.	.	PUNCT
fis-125	309	1	we	we	PRON
fis-125	309	2	have	have	VERB
fis-125	309	3	in	in	ADP
fis-125	309	4	particular	particular	ADJ
fis-125	309	5	property	property	NOUN
fis-125	309	6	7	7	NUM
fis-125	309	7	(	(	PUNCT
fis-125	309	8	behaviour	behaviour	NOUN
fis-125	309	9	of	of	ADP
fis-125	309	10	1	1	NUM
fis-125	309	11	(	(	PUNCT
fis-125	309	12	)	)	PUNCT
fis-125	309	13			PROPN
fis-125	309	14			NOUN
fis-125	309	15			PROPN
fis-125	309	16	d	d	PROPN
fis-125	309	17	near	near	ADP
fis-125	309	18	0	0	NUM
fis-125	309	19	)	)	PUNCT
fis-125	309	20	.	.	PUNCT
fis-125	310	1	1	1	NUM
fis-125	310	2	0	0	NUM
fis-125	310	3	(	(	PUNCT
fis-125	310	4	)	)	PUNCT
fis-125	310	5	=	=	SYM
fis-125	311	1	0	0	NUM
fis-125	311	2	d	d	NOUN
fis-125	311	3	and	and	CCONJ
fis-125	311	4	5/2	5/2	NUM
fis-125	311	5	2	2	NUM
fis-125	311	6	2	2	NUM
fis-125	311	7	1/2	1/2	NUM
fis-125	311	8	0	0	NUM
fis-125	311	9	01	01	NUM
fis-125	311	10	0	0	NUM
fis-125	311	11	2	2	NUM
fis-125	311	12	3/2	3/2	NUM
fis-125	311	13	0	0	NUM
fis-125	311	14	2	2	NUM
fis-125	311	15	(	(	PUNCT
fis-125	311	16	0	0	NUM
fis-125	311	17	)	)	PUNCT
fis-125	311	18	(	(	PUNCT
fis-125	311	19	)	)	PUNCT
fis-125	311	20	=	=	SYM
fis-125	311	21	(	(	PUNCT
fis-125	311	22	(	(	PUNCT
fis-125	311	23	0	0	NUM
fis-125	311	24	)	)	SYM
fis-125	311	25	2	2	NUM
fis-125	311	26	(	(	PUNCT
fis-125	311	27	0	0	NUM
fis-125	311	28	)	)	PUNCT
fis-125	311	29	)	)	PUNCT
fis-125	312	1			ADP
fis-125	312	2			PROPN
fis-125	312	3			X
fis-125	312	4			X
fis-125	312	5			ADJ
fis-125	312	6			ADP
fis-125	312	7			VERB
fis-125	312	8			PROPN
fis-125	313	1			PROPN
fis-125	313	2	d	d	NOUN
fis-125	313	3	s	s	NOUN
fis-125	313	4	ed	ed	NOUN
fis-125	313	5	d	d	PROPN
fis-125	313	6	s	s	PROPN
fis-125	313	7	w	w	NOUN
fis-125	313	8	(	(	PUNCT
fis-125	313	9	38	38	NUM
fis-125	313	10	)	)	PUNCT
fis-125	313	11	on	on	ADP
fis-125	313	12	the	the	DET
fis-125	313	13	other	other	ADJ
fis-125	313	14	hand	hand	NOUN
fis-125	313	15	,	,	PUNCT
fis-125	313	16	the	the	DET
fis-125	313	17	behavior	behavior	NOUN
fis-125	313	18	of	of	ADP
fis-125	313	19	1	1	NUM
fis-125	313	20	(	(	PUNCT
fis-125	313	21	)	)	PUNCT
fis-125	313	22			PROPN
fis-125	313	23	d	d	NOUN
fis-125	313	24	when	when	SCONJ
fis-125	313	25	0/	0/	X
fis-125	313	26			X
fis-125	313	27	is	be	AUX
fis-125	313	28	small	small	ADJ
fis-125	313	29	is	be	AUX
fis-125	313	30	very	very	ADV
fis-125	313	31	sensitive	sensitive	ADJ
fis-125	313	32	to	to	ADP
fis-125	313	33	the	the	DET
fis-125	313	34	constitutive	constitutive	ADJ
fis-125	313	35	parameters	parameter	NOUN
fis-125	313	36	as	as	SCONJ
fis-125	313	37	it	it	PRON
fis-125	313	38	is	be	AUX
fis-125	313	39	shown	show	VERB
fis-125	313	40	in	in	ADP
fis-125	313	41	the	the	DET
fis-125	313	42	following	following	ADJ
fis-125	313	43	example	example	NOUN
fis-125	313	44	and	and	CCONJ
fis-125	313	45	on	on	ADP
fis-125	313	46	fig	fig	NOUN
fis-125	313	47	.	.	PUNCT
fis-125	314	1	6	6	X
fis-125	314	2	.	.	X
fis-125	314	3	figure	figure	NOUN
fis-125	314	4	6	6	NUM
fis-125	314	5	:	:	PUNCT
fis-125	314	6	graph	graph	NOUN
fis-125	314	7	of	of	ADP
fis-125	314	8	the	the	DET
fis-125	314	9	function	function	NOUN
fis-125	314	10	1	1	NUM
fis-125	314	11	(	(	PUNCT
fis-125	314	12	)	)	PUNCT
fis-125	314	13			PROPN
fis-125	314	14			NOUN
fis-125	314	15			ADJ
fis-125	314	16	d	d	X
fis-125	314	17	giving	give	VERB
fis-125	314	18	the	the	DET
fis-125	314	19	contribution	contribution	NOUN
fis-125	314	20	of	of	ADP
fis-125	314	21	a	a	DET
fis-125	314	22	localized	localized	ADJ
fis-125	314	23	zone	zone	NOUN
fis-125	314	24	on	on	ADP
fis-125	314	25	the	the	DET
fis-125	314	26	overall	overall	ADJ
fis-125	314	27	strain	strain	NOUN
fis-125	314	28	in	in	ADP
fis-125	314	29	the	the	DET
fis-125	314	30	case	case	NOUN
fis-125	314	31	of	of	ADP
fis-125	314	32	the	the	DET
fis-125	314	33	model	model	NOUN
fis-125	314	34	of	of	ADP
fis-125	314	35	example	example	NOUN
fis-125	314	36	2	2	NUM
fis-125	314	37	with	with	ADP
fis-125	314	38	=	=	NOUN
fis-125	314	39	4p	4p	NUM
fis-125	314	40	and	and	CCONJ
fis-125	314	41	different	different	ADJ
fis-125	314	42	values	value	NOUN
fis-125	314	43	of	of	ADP
fis-125	314	44	q	q	PROPN
fis-125	314	45	(	(	PUNCT
fis-125	314	46	dashed	dash	VERB
fis-125	314	47	:	:	PUNCT
fis-125	315	1	=	=	NOUN
fis-125	315	2	1q	1q	ADJ
fis-125	315	3	,	,	PUNCT
fis-125	315	4	thick	thick	ADJ
fis-125	315	5	:	:	PUNCT
fis-125	315	6	=	=	NOUN
fis-125	315	7	2q	2q	NOUN
fis-125	315	8	,	,	PUNCT
fis-125	315	9	thin	thin	ADJ
fis-125	315	10	:	:	PUNCT
fis-125	315	11	=	=	NOUN
fis-125	315	12	3q	3q	NUM
fis-125	315	13	)	)	PUNCT
fis-125	315	14	.	.	PUNCT
fis-125	316	1	example	example	NOUN
fis-125	316	2	7	7	NUM
fis-125	316	3	in	in	ADP
fis-125	316	4	the	the	DET
fis-125	316	5	case	case	NOUN
fis-125	316	6	of	of	ADP
fis-125	316	7	the	the	DET
fis-125	316	8	family	family	NOUN
fis-125	316	9	of	of	ADP
fis-125	316	10	models	model	NOUN
fis-125	316	11	of	of	ADP
fis-125	316	12	example	example	NOUN
fis-125	316	13	2	2	NUM
fis-125	316	14	,	,	PUNCT
fis-125	316	15	we	we	PRON
fis-125	316	16	have	have	VERB
fis-125	316	17	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	316	18	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	316	19	k.	k.	PROPN
fis-125	316	20	pham	pham	PROPN
fis-125	316	21	et	et	PROPN
fis-125	316	22	alii	alii	PROPN
fis-125	316	23	,	,	PUNCT
fis-125	316	24	frattura	frattura	PROPN
fis-125	316	25	ed	ed	PROPN
fis-125	316	26	integrità	integrità	PROPN
fis-125	316	27	strutturale	strutturale	PROPN
fis-125	316	28	,	,	PUNCT
fis-125	316	29	19	19	NUM
fis-125	316	30	(	(	PUNCT
fis-125	316	31	2012	2012	NUM
fis-125	316	32	)	)	PUNCT
fis-125	316	33	5	5	NUM
fis-125	316	34	-	-	SYM
fis-125	316	35	19	19	NUM
fis-125	316	36	;	;	PUNCT
fis-125	316	37	doi	doi	NOUN
fis-125	316	38	:	:	PUNCT
fis-125	316	39	10.3221	10.3221	NUM
fis-125	316	40	/	/	SYM
fis-125	316	41	igf	igf	PROPN
fis-125	316	42	-	-	PUNCT
fis-125	316	43	esis.19.01	esis.19.01	PROPN
fis-125	317	1	17	17	NUM
fis-125	317	2	5/2	5/2	NUM
fis-125	317	3	2	2	NUM
fis-125	317	4	/21	/21	SYM
fis-125	317	5	0	0	NUM
fis-125	317	6	0	0	NUM
fis-125	317	7	12	12	NUM
fis-125	317	8	3/2	3/2	NUM
fis-125	317	9	0	0	NUM
fis-125	317	10	0	0	NUM
fis-125	317	11	<	<	X
fis-125	317	12	2	2	NUM
fis-125	317	13	2	2	NUM
fis-125	317	14	(	(	PUNCT
fis-125	317	15	)	)	PUNCT
fis-125	317	16	(	(	PUNCT
fis-125	317	17	)	)	PUNCT
fis-125	317	18	=	=	SYM
fis-125	317	19	,	,	PUNCT
fis-125	317	20	(	(	PUNCT
fis-125	317	21	)	)	PUNCT
fis-125	317	22	=	=	SYM
fis-125	317	23	2	2	NUM
fis-125	317	24	=	=	SYM
fis-125	317	25	2lim	2lim	NUM
fis-125	317	26	(	(	PUNCT
fis-125	317	27	(	(	PUNCT
fis-125	317	28	)	)	PUNCT
fis-125	317	29	)	)	PUNCT
fis-125	317	30	>	>	X
fis-125	317	31	2	2	NUM
fis-125	317	32			PROPN
fis-125	317	33			PROPN
fis-125	317	34			NOUN
fis-125	317	35			PROPN
fis-125	317	36			PROPN
fis-125	317	37			PROPN
fis-125	317	38			NOUN
fis-125	317	39			ADJ
fis-125	317	40			NOUN
fis-125	317	41			ADP
fis-125	317	42			PUNCT
fis-125	317	43			X
fis-125	317	44			PROPN
fis-125	317	45			ADV
fis-125	317	46			VERB
fis-125	317	47			PROPN
fis-125	317	48			NUM
fis-125	317	49			NOUN
fis-125	317	50	d	d	PROPN
fis-125	317	51	d	d	X
fis-125	317	52	p	p	NOUN
fis-125	317	53	if	if	SCONJ
fis-125	317	54	q	q	PROPN
fis-125	318	1	d	d	X
fis-125	318	2	p	p	X
fis-125	318	3	q	q	NOUN
fis-125	318	4	if	if	SCONJ
fis-125	318	5	q	q	ADJ
fis-125	319	1	d	d	X
fis-125	319	2	p	p	X
fis-125	319	3	q	q	X
fis-125	319	4	q	q	X
fis-125	319	5	p	p	NOUN
fis-125	319	6	if	if	SCONJ
fis-125	319	7	q	q	X
fis-125	319	8	(	(	PUNCT
fis-125	319	9	39	39	NUM
fis-125	319	10	)	)	PUNCT
fis-125	319	11	consequently	consequently	ADV
fis-125	319	12	,	,	PUNCT
fis-125	319	13	when	when	SCONJ
fis-125	319	14	2q	2q	PRON
fis-125	319	15	,	,	PUNCT
fis-125	319	16	the	the	DET
fis-125	319	17	overall	overall	ADJ
fis-125	319	18	strain	strain	NOUN
fis-125	319	19	remains	remain	VERB
fis-125	319	20	finite	finite	ADJ
fis-125	319	21	when	when	SCONJ
fis-125	319	22	the	the	DET
fis-125	319	23	stress	stress	NOUN
fis-125	319	24	goes	go	VERB
fis-125	319	25	to	to	ADP
fis-125	319	26	0	0	NUM
fis-125	319	27	,	,	PUNCT
fis-125	319	28	contrary	contrary	ADV
fis-125	319	29	to	to	ADP
fis-125	319	30	the	the	DET
fis-125	319	31	homogeneous	homogeneous	ADJ
fis-125	319	32	response	response	NOUN
fis-125	319	33	where	where	SCONJ
fis-125	319	34	the	the	DET
fis-125	319	35	strain	strain	NOUN
fis-125	319	36	becomes	become	VERB
fis-125	319	37	infinite	infinite	ADJ
fis-125	319	38	.	.	PUNCT
fis-125	320	1	checking	checking	NOUN
fis-125	320	2	of	of	ADP
fis-125	320	3	the	the	DET
fis-125	320	4	irreversibility	irreversibility	NOUN
fis-125	320	5	it	it	PRON
fis-125	320	6	remains	remain	VERB
fis-125	320	7	to	to	PART
fis-125	320	8	check	check	VERB
fis-125	320	9	that	that	SCONJ
fis-125	320	10	the	the	DET
fis-125	320	11	localized	localized	ADJ
fis-125	320	12	damage	damage	NOUN
fis-125	320	13	fields	field	NOUN
fis-125	320	14	that	that	PRON
fis-125	320	15	we	we	PRON
fis-125	320	16	have	have	AUX
fis-125	320	17	constructed	construct	VERB
fis-125	320	18	at	at	ADP
fis-125	320	19	different	different	ADJ
fis-125	320	20	values	value	NOUN
fis-125	320	21	of	of	ADP
fis-125	320	22			PROPN
fis-125	320	23	leads	lead	VERB
fis-125	320	24	to	to	ADP
fis-125	320	25	an	an	DET
fis-125	320	26	evolution	evolution	NOUN
fis-125	320	27	in	in	ADP
fis-125	320	28	time	time	NOUN
fis-125	320	29	which	which	PRON
fis-125	320	30	satisfies	satisfy	VERB
fis-125	320	31	the	the	DET
fis-125	320	32	irreversibility	irreversibility	NOUN
fis-125	320	33	condition	condition	NOUN
fis-125	320	34	0	0	PROPN
fis-125	320	35			NOUN
fis-125	320	36	.	.	PUNCT
fis-125	321	1	let	let	VERB
fis-125	321	2	us	we	PRON
fis-125	321	3	reintroduce	reintroduce	VERB
fis-125	321	4	the	the	DET
fis-125	321	5	time	time	NOUN
fis-125	321	6	and	and	CCONJ
fis-125	321	7	the	the	DET
fis-125	321	8	index	index	NOUN
fis-125	321	9	t	t	NOUN
fis-125	321	10	in	in	ADP
fis-125	321	11	the	the	DET
fis-125	321	12	notation	notation	NOUN
fis-125	321	13	.	.	PUNCT
fis-125	322	1	since	since	SCONJ
fis-125	322	2	the	the	DET
fis-125	322	3	center	center	NOUN
fis-125	322	4	of	of	ADP
fis-125	322	5	the	the	DET
fis-125	322	6	localization	localization	NOUN
fis-125	322	7	zone	zone	NOUN
fis-125	322	8	is	be	AUX
fis-125	322	9	fixed	fix	VERB
fis-125	322	10	,	,	PUNCT
fis-125	322	11	the	the	DET
fis-125	322	12	condition	condition	NOUN
fis-125	322	13	of	of	ADP
fis-125	322	14	irreversibility	irreversibility	NOUN
fis-125	322	15	is	be	AUX
fis-125	322	16	satisfied	satisfied	ADJ
fis-125	322	17	only	only	ADV
fis-125	322	18	if	if	SCONJ
fis-125	322	19	(	(	PUNCT
fis-125	322	20	)	)	PUNCT
fis-125	322	21	=	=	SYM
fis-125	322	22	(	(	PUNCT
fis-125	322	23	)	)	PUNCT
fis-125	322	24	t	t	NOUN
fis-125	322	25	t	t	PROPN
fis-125	322	26	it	it	PRON
fis-125	322	27	x	x	PROPN
fis-125	322	28			PROPN
fis-125	322	29			PRON
fis-125	322	30	is	be	AUX
fis-125	322	31	not	not	PART
fis-125	322	32	decreasing	decrease	VERB
fis-125	322	33	.	.	PUNCT
fis-125	323	1	since	since	SCONJ
fis-125	323	2	(	(	PUNCT
fis-125	323	3	)	)	PUNCT
fis-125	323	4			X
fis-125	323	5			NOUN
fis-125	323	6			PROPN
fis-125	323	7	is	be	AUX
fis-125	323	8	decreasing	decrease	VERB
fis-125	323	9	,	,	PUNCT
fis-125	323	10	it	it	PRON
fis-125	323	11	is	be	AUX
fis-125	323	12	possible	possible	ADJ
fis-125	323	13	only	only	ADV
fis-125	323	14	if	if	SCONJ
fis-125	323	15	tt	tt	PROPN
fis-125	323	16			PROPN
fis-125	323	17	is	be	AUX
fis-125	323	18	not	not	PART
fis-125	323	19	increasing	increase	VERB
fis-125	323	20	.	.	PUNCT
fis-125	324	1	since	since	SCONJ
fis-125	324	2	(	(	PUNCT
fis-125	324	3	,	,	PUNCT
fis-125	324	4	(	(	PUNCT
fis-125	324	5	)	)	PUNCT
fis-125	324	6	)	)	PUNCT
fis-125	325	1	=	=	PUNCT
fis-125	325	2	0	0	NUM
fis-125	325	3	t	t	NOUN
fis-125	326	1	i	i	PRON
fis-125	326	2	i	i	PRON
fis-125	326	3	tx	tx	VERB
fis-125	326	4	x	x	SYM
fis-125	326	5	d	d	ADV
fis-125	326	6			NOUN
fis-125	326	7	and	and	CCONJ
fis-125	326	8	since	since	SCONJ
fis-125	326	9	(	(	PUNCT
fis-125	326	10	)	)	PUNCT
fis-125	326	11	>	>	PUNCT
fis-125	326	12	0	0	NUM
fis-125	326	13	t	t	X
fis-125	326	14	x	x	NOUN
fis-125	326	15	for	for	ADP
fis-125	326	16	|	|	ADV
fis-125	326	17	|	|	ADV
fis-125	326	18	<	<	X
fis-125	326	19	(	(	PUNCT
fis-125	326	20	)	)	PUNCT
fis-125	326	21	i	i	PRON
fis-125	326	22	tx	tx	VERB
fis-125	326	23	x	x	PUNCT
fis-125	327	1	d	d	X
fis-125	327	2			PROPN
fis-125	327	3	by	by	ADP
fis-125	327	4	construction	construction	NOUN
fis-125	327	5	,	,	PUNCT
fis-125	327	6	the	the	DET
fis-125	327	7	condition	condition	NOUN
fis-125	327	8	of	of	ADP
fis-125	327	9	irreversibility	irreversibility	NOUN
fis-125	327	10	is	be	AUX
fis-125	327	11	satisfied	satisfied	ADJ
fis-125	327	12	only	only	ADV
fis-125	327	13	if	if	SCONJ
fis-125	327	14	(	(	PUNCT
fis-125	327	15	)	)	PUNCT
fis-125	327	16	tt	tt	PROPN
fis-125	327	17	d	d	PROPN
fis-125	327	18			PROPN
fis-125	327	19	is	be	AUX
fis-125	327	20	not	not	PART
fis-125	327	21	decreasing	decrease	VERB
fis-125	327	22	.	.	PUNCT
fis-125	328	1	that	that	PRON
fis-125	328	2	requires	require	VERB
fis-125	328	3	that	that	PRON
fis-125	328	4	(	(	PUNCT
fis-125	328	5	)	)	PUNCT
fis-125	328	6	d	d	NOUN
fis-125	328	7			NOUN
fis-125	328	8	is	be	AUX
fis-125	328	9	not	not	PART
fis-125	328	10	increasing	increase	VERB
fis-125	328	11	,	,	PUNCT
fis-125	328	12	condition	condition	NOUN
fis-125	328	13	which	which	PRON
fis-125	328	14	is	be	AUX
fis-125	328	15	not	not	PART
fis-125	328	16	automatically	automatically	ADV
fis-125	328	17	satisfied	satisfy	VERB
fis-125	328	18	by	by	ADP
fis-125	328	19	the	the	DET
fis-125	328	20	damage	damage	NOUN
fis-125	328	21	model	model	NOUN
fis-125	328	22	,	,	PUNCT
fis-125	328	23	see	see	VERB
fis-125	328	24	example	example	NOUN
fis-125	328	25	4	4	NUM
fis-125	328	26	.	.	PUNCT
fis-125	329	1	when	when	SCONJ
fis-125	329	2	this	this	DET
fis-125	329	3	condition	condition	NOUN
fis-125	329	4	is	be	AUX
fis-125	329	5	not	not	PART
fis-125	329	6	satisfied	satisfied	ADJ
fis-125	329	7	,	,	PUNCT
fis-125	329	8	our	our	PRON
fis-125	329	9	construction	construction	NOUN
fis-125	329	10	of	of	ADP
fis-125	329	11	the	the	DET
fis-125	329	12	localized	localize	VERB
fis-125	329	13	solution	solution	NOUN
fis-125	329	14	is	be	AUX
fis-125	329	15	no	no	PRON
fis-125	329	16	more	more	ADV
fis-125	329	17	valid	valid	ADJ
fis-125	329	18	.	.	PUNCT
fis-125	330	1	we	we	PRON
fis-125	330	2	must	must	AUX
fis-125	330	3	consider	consider	VERB
fis-125	330	4	an	an	DET
fis-125	330	5	evolution	evolution	NOUN
fis-125	330	6	of	of	ADP
fis-125	330	7	the	the	DET
fis-125	330	8	damage	damage	NOUN
fis-125	330	9	where	where	SCONJ
fis-125	330	10	a	a	DET
fis-125	330	11	part	part	NOUN
fis-125	330	12	of	of	ADP
fis-125	330	13	the	the	DET
fis-125	330	14	localization	localization	NOUN
fis-125	330	15	zone	zone	NOUN
fis-125	330	16	is	be	AUX
fis-125	330	17	unloaded	unload	VERB
fis-125	330	18	and	and	CCONJ
fis-125	330	19	reenters	reenter	VERB
fis-125	330	20	in	in	ADP
fis-125	330	21	a	a	DET
fis-125	330	22	non	non	ADJ
fis-125	330	23	damaging	damaging	ADJ
fis-125	330	24	phase	phase	NOUN
fis-125	330	25	,	,	PUNCT
fis-125	330	26	the	the	DET
fis-125	330	27	size	size	NOUN
fis-125	330	28	of	of	ADP
fis-125	330	29	the	the	DET
fis-125	330	30	still	still	ADV
fis-125	330	31	damaging	damage	VERB
fis-125	330	32	part	part	NOUN
fis-125	330	33	decreasing	decrease	VERB
fis-125	330	34	with	with	ADP
fis-125	330	35	time	time	NOUN
fis-125	330	36	.	.	PUNCT
fis-125	331	1	to	to	PART
fis-125	331	2	avoid	avoid	VERB
fis-125	331	3	such	such	DET
fis-125	331	4	a	a	DET
fis-125	331	5	situation	situation	NOUN
fis-125	331	6	we	we	PRON
fis-125	331	7	make	make	VERB
fis-125	331	8	the	the	DET
fis-125	331	9	following	follow	VERB
fis-125	331	10	hypothesis	hypothesis	NOUN
fis-125	331	11	hypothesis	hypothesis	NOUN
fis-125	331	12	2	2	NUM
fis-125	331	13	we	we	PRON
fis-125	331	14	assume	assume	VERB
fis-125	331	15	that	that	SCONJ
fis-125	331	16	(	(	PUNCT
fis-125	331	17	)	)	PUNCT
fis-125	331	18	e	e	X
fis-125	331	19			ADP
fis-125	331	20	and	and	CCONJ
fis-125	331	21	(	(	PUNCT
fis-125	331	22	)	)	PUNCT
fis-125	331	23	w	w	NOUN
fis-125	332	1			NOUN
fis-125	332	2	are	be	AUX
fis-125	332	3	such	such	ADJ
fis-125	332	4	that	that	SCONJ
fis-125	332	5	(	(	PUNCT
fis-125	332	6	)	)	PUNCT
fis-125	332	7	d	d	NOUN
fis-125	332	8			NOUN
fis-125	332	9	is	be	AUX
fis-125	332	10	decreasing	decrease	VERB
fis-125	332	11	.	.	PUNCT
fis-125	333	1	note	note	VERB
fis-125	333	2	that	that	SCONJ
fis-125	333	3	this	this	DET
fis-125	333	4	hypothesis	hypothesis	NOUN
fis-125	333	5	is	be	AUX
fis-125	333	6	satisfied	satisfied	ADJ
fis-125	333	7	in	in	ADP
fis-125	333	8	the	the	DET
fis-125	333	9	class	class	NOUN
fis-125	333	10	of	of	ADP
fis-125	333	11	models	model	NOUN
fis-125	333	12	of	of	ADP
fis-125	333	13	example	example	NOUN
fis-125	333	14	2	2	NUM
fis-125	333	15	when	when	SCONJ
fis-125	333	16	=	=	NOUN
fis-125	333	17	2q	2q	NUM
fis-125	333	18	and	and	CCONJ
fis-125	333	19	4p	4p	NOUN
fis-125	333	20			NUM
fis-125	333	21	.	.	PUNCT
fis-125	334	1	under	under	ADP
fis-125	334	2	this	this	DET
fis-125	334	3	condition	condition	NOUN
fis-125	334	4	,	,	PUNCT
fis-125	334	5	it	it	PRON
fis-125	334	6	is	be	AUX
fis-125	334	7	possible	possible	ADJ
fis-125	334	8	to	to	PART
fis-125	334	9	obtain	obtain	VERB
fis-125	334	10	the	the	DET
fis-125	334	11	following	follow	VERB
fis-125	334	12	property	property	NOUN
fis-125	334	13	property	property	NOUN
fis-125	334	14	8	8	NUM
fis-125	334	15	under	under	ADP
fis-125	334	16	hypothesis	hypothesis	NOUN
fis-125	334	17	2	2	NUM
fis-125	334	18	,	,	PUNCT
fis-125	334	19	in	in	ADP
fis-125	334	20	order	order	NOUN
fis-125	334	21	that	that	SCONJ
fis-125	334	22	tt	tt	PROPN
fis-125	334	23			AUX
fis-125	334	24	given	give	VERB
fis-125	334	25	by	by	ADP
fis-125	334	26	(	(	PUNCT
fis-125	334	27	31	31	NUM
fis-125	334	28	)	)	PUNCT
fis-125	334	29	in	in	ADP
fis-125	334	30	a	a	DET
fis-125	334	31	localization	localization	NOUN
fis-125	334	32	zone	zone	NOUN
fis-125	334	33	(	(	PUNCT
fis-125	334	34	and	and	CCONJ
fis-125	334	35	equal	equal	ADJ
fis-125	334	36	to	to	ADP
fis-125	334	37	0	0	NUM
fis-125	334	38	otherwise	otherwise	ADV
fis-125	334	39	)	)	PUNCT
fis-125	334	40	is	be	AUX
fis-125	334	41	not	not	PART
fis-125	334	42	decreasing	decrease	VERB
fis-125	334	43	it	it	PRON
fis-125	334	44	is	be	AUX
fis-125	334	45	necessary	necessary	ADJ
fis-125	334	46	and	and	CCONJ
fis-125	334	47	sufficient	sufficient	ADJ
fis-125	334	48	that	that	SCONJ
fis-125	334	49	tt	tt	PROPN
fis-125	334	50			PROPN
fis-125	334	51	is	be	AUX
fis-125	334	52	not	not	PART
fis-125	334	53	increasing	increase	VERB
fis-125	334	54	.	.	PUNCT
fis-125	335	1	proof	proof	NOUN
fis-125	335	2	.	.	PUNCT
fis-125	336	1	we	we	PRON
fis-125	336	2	know	know	VERB
fis-125	336	3	that	that	SCONJ
fis-125	336	4	it	it	PRON
fis-125	336	5	is	be	AUX
fis-125	336	6	necessary	necessary	ADJ
fis-125	336	7	,	,	PUNCT
fis-125	336	8	it	it	PRON
fis-125	336	9	remains	remain	VERB
fis-125	336	10	to	to	PART
fis-125	336	11	prove	prove	VERB
fis-125	336	12	that	that	SCONJ
fis-125	336	13	it	it	PRON
fis-125	336	14	is	be	AUX
fis-125	336	15	sufficient	sufficient	ADJ
fis-125	336	16	.	.	PUNCT
fis-125	337	1	let	let	VERB
fis-125	337	2	us	we	PRON
fis-125	337	3	assume	assume	VERB
fis-125	337	4	that	that	SCONJ
fis-125	337	5	tt	tt	PROPN
fis-125	337	6			PROPN
fis-125	337	7	is	be	AUX
fis-125	337	8	not	not	PART
fis-125	337	9	increasing	increase	VERB
fis-125	337	10	.	.	PUNCT
fis-125	338	1	then	then	ADV
fis-125	338	2	(	(	PUNCT
fis-125	338	3	)	)	PUNCT
fis-125	338	4	tt	tt	PROPN
fis-125	338	5			NOUN
fis-125	338	6			PROPN
fis-125	338	7	and	and	CCONJ
fis-125	338	8	(	(	PUNCT
fis-125	338	9	)	)	PUNCT
fis-125	338	10	tt	tt	PROPN
fis-125	339	1	d	d	PROPN
fis-125	339	2			PROPN
fis-125	339	3	are	be	AUX
fis-125	339	4	not	not	PART
fis-125	339	5	decreasing	decrease	VERB
fis-125	339	6	.	.	PUNCT
fis-125	340	1	let	let	VERB
fis-125	340	2	1	1	NUM
fis-125	340	3	2	2	NUM
fis-125	340	4	<	<	X
fis-125	340	5	t	t	X
fis-125	340	6	t	t	NOUN
fis-125	340	7	and	and	CCONJ
fis-125	340	8	x	x	AUX
fis-125	340	9	be	be	AUX
fis-125	340	10	such	such	ADJ
fis-125	340	11	that	that	SCONJ
fis-125	340	12	1	1	NUM
fis-125	341	1	|	|	ADV
fis-125	341	2	|	|	ADV
fis-125	341	3	(	(	PUNCT
fis-125	341	4	)	)	PUNCT
fis-125	341	5	i	i	PRON
fis-125	341	6	tx	tx	VERB
fis-125	341	7	x	x	PUNCT
fis-125	341	8	d	d	X
fis-125	341	9			PROPN
fis-125	341	10			PROPN
fis-125	341	11	.	.	PUNCT
fis-125	342	1	it	it	PRON
fis-125	342	2	is	be	AUX
fis-125	342	3	sufficient	sufficient	ADJ
fis-125	342	4	to	to	PART
fis-125	342	5	prove	prove	VERB
fis-125	342	6	that	that	SCONJ
fis-125	342	7	2	2	NUM
fis-125	342	8	12	12	NUM
fis-125	342	9	1	1	NUM
fis-125	342	10	:	:	PUNCT
fis-125	342	11	=	=	SYM
fis-125	342	12	(	(	PUNCT
fis-125	342	13	)	)	PUNCT
fis-125	342	14	(	(	PUNCT
fis-125	342	15	)	)	PUNCT
fis-125	343	1	=	=	X
fis-125	343	2	:	:	PUNCT
fis-125	343	3	t	t	PROPN
fis-125	343	4	tx	tx	PROPN
fis-125	343	5	x	x	PROPN
fis-125	343	6			X
fis-125	343	7			X
fis-125	343	8			NOUN
fis-125	343	9	.	.	PUNCT
fis-125	344	1	owing	owe	VERB
fis-125	344	2	to	to	ADP
fis-125	344	3	(	(	PUNCT
fis-125	344	4	31	31	NUM
fis-125	344	5	)	)	PUNCT
fis-125	344	6	,	,	PUNCT
fis-125	344	7	since	since	SCONJ
fis-125	344	8	h	h	NOUN
fis-125	344	9	is	be	AUX
fis-125	344	10	a	a	DET
fis-125	344	11	decreasing	decrease	VERB
fis-125	344	12	function	function	NOUN
fis-125	344	13	of	of	ADP
fis-125	344	14			PROPN
fis-125	344	15	and	and	CCONJ
fis-125	344	16	since	since	SCONJ
fis-125	344	17	2	2	NUM
fis-125	344	18	1	1	NUM
fis-125	344	19	t	t	NOUN
fis-125	344	20	t	t	PROPN
fis-125	344	21			PROPN
fis-125	344	22	,	,	PUNCT
fis-125	344	23	we	we	PRON
fis-125	344	24	have	have	VERB
fis-125	344	25	2	2	NUM
fis-125	344	26	1	1	NUM
fis-125	344	27	2	2	NUM
fis-125	344	28	2	2	NUM
fis-125	344	29	1	1	NUM
fis-125	344	30	0	0	NUM
fis-125	344	31	0	0	NUM
fis-125	344	32	1	1	NUM
fis-125	344	33	2	2	NUM
fis-125	344	34	1	1	NUM
fis-125	344	35	1	1	NUM
fis-125	344	36	0	0	NUM
fis-125	344	37	(	(	PUNCT
fis-125	344	38	)	)	PUNCT
fis-125	344	39	(	(	PUNCT
fis-125	344	40	)	)	PUNCT
fis-125	344	41	=	=	SYM
fis-125	344	42	(	(	PUNCT
fis-125	344	43	,	,	PUNCT
fis-125	344	44	)	)	PUNCT
fis-125	344	45	(	(	PUNCT
fis-125	344	46	,	,	PUNCT
fis-125	344	47	)	)	PUNCT
fis-125	344	48	(	(	PUNCT
fis-125	344	49	,	,	PUNCT
fis-125	344	50	)	)	PUNCT
fis-125	344	51	t	t	PROPN
fis-125	344	52	t	t	PROPN
fis-125	344	53	t	t	PROPN
fis-125	344	54	t	t	PROPN
fis-125	344	55	t	t	PROPN
fis-125	345	1	d	d	X
fis-125	345	2	d	d	PROPN
fis-125	346	1	d	d	X
fis-125	347	1	d	d	X
fis-125	348	1	d	d	X
fis-125	348	2	h	h	NOUN
fis-125	348	3	h	h	NOUN
fis-125	348	4	h	h	NOUN
fis-125	348	5			NOUN
fis-125	348	6			X
fis-125	348	7			X
fis-125	348	8			NUM
fis-125	348	9			PROPN
fis-125	348	10			PROPN
fis-125	348	11			NOUN
fis-125	348	12			X
fis-125	348	13			PROPN
fis-125	348	14			NOUN
fis-125	348	15			PROPN
fis-125	348	16			PROPN
fis-125	348	17			PROPN
fis-125	348	18			PROPN
fis-125	348	19			NUM
fis-125	348	20			PROPN
fis-125	348	21			NOUN
fis-125	348	22			NUM
fis-125	348	23			PUNCT
fis-125	348	24			X
fis-125	348	25			X
fis-125	348	26			ADJ
fis-125	348	27			ADJ
fis-125	348	28	hence	hence	ADV
fis-125	348	29	2	2	NUM
fis-125	348	30	1	1	PROPN
fis-125	348	31			PROPN
fis-125	348	32	.	.	PUNCT
fis-125	349	1	by	by	ADP
fis-125	349	2	virtue	virtue	NOUN
fis-125	349	3	of	of	ADP
fis-125	349	4	this	this	DET
fis-125	349	5	last	last	ADJ
fis-125	349	6	property	property	NOUN
fis-125	349	7	,	,	PUNCT
fis-125	349	8	our	our	PRON
fis-125	349	9	construction	construction	NOUN
fis-125	349	10	of	of	ADP
fis-125	349	11	a	a	DET
fis-125	349	12	non	non	ADJ
fis-125	349	13	homogeneous	homogeneous	ADJ
fis-125	349	14	solution	solution	NOUN
fis-125	349	15	is	be	AUX
fis-125	349	16	valid	valid	ADJ
fis-125	349	17	provided	provide	VERB
fis-125	349	18	that	that	SCONJ
fis-125	349	19	the	the	DET
fis-125	349	20	bar	bar	NOUN
fis-125	349	21	is	be	AUX
fis-125	349	22	sufficiently	sufficiently	ADV
fis-125	349	23	long	long	ADJ
fis-125	349	24	so	so	SCONJ
fis-125	349	25	that	that	SCONJ
fis-125	349	26	a	a	DET
fis-125	349	27	localization	localization	NOUN
fis-125	349	28	zone	zone	NOUN
fis-125	349	29	can	can	AUX
fis-125	349	30	appear	appear	VERB
fis-125	349	31	and	and	CCONJ
fis-125	349	32	grow	grow	VERB
fis-125	349	33	without	without	ADP
fis-125	349	34	reaching	reach	VERB
fis-125	349	35	the	the	DET
fis-125	349	36	boundary	boundary	NOUN
fis-125	349	37	.	.	PUNCT
fis-125	350	1	since	since	SCONJ
fis-125	350	2	the	the	DET
fis-125	350	3	size	size	NOUN
fis-125	350	4	of	of	ADP
fis-125	350	5	the	the	DET
fis-125	350	6	localization	localization	NOUN
fis-125	350	7	zone	zone	NOUN
fis-125	350	8	increases	increase	VERB
fis-125	350	9	with	with	ADP
fis-125	350	10	t	t	NOUN
fis-125	350	11	,	,	PUNCT
fis-125	350	12	that	that	PRON
fis-125	350	13	leads	lead	VERB
fis-125	350	14	to	to	ADP
fis-125	350	15	the	the	DET
fis-125	350	16	inequality	inequality	NOUN
fis-125	350	17	02l	02l	NOUN
fis-125	350	18	nd	nd	NOUN
fis-125	350	19	.	.	PUNCT
fis-125	351	1	owing	owe	VERB
fis-125	351	2	to	to	ADP
fis-125	351	3	(	(	PUNCT
fis-125	351	4	29	29	NUM
fis-125	351	5	)	)	PUNCT
fis-125	351	6	,	,	PUNCT
fis-125	351	7	that	that	PRON
fis-125	351	8	gives	give	VERB
fis-125	351	9	the	the	DET
fis-125	351	10	following	follow	VERB
fis-125	351	11	lower	lower	ADV
fis-125	351	12	bound	bind	VERB
fis-125	351	13	for	for	ADP
fis-125	351	14	l	l	NOUN
fis-125	351	15	:	:	PUNCT
fis-125	351	16	1	1	NUM
fis-125	351	17	0	0	NUM
fis-125	351	18	00	00	NUM
fis-125	351	19	2	2	NUM
fis-125	351	20	:	:	PUNCT
fis-125	351	21	=	=	SYM
fis-125	351	22	>	>	SYM
fis-125	351	23	2	2	NUM
fis-125	351	24	(	(	PUNCT
fis-125	351	25	)	)	PUNCT
fis-125	351	26	(	(	PUNCT
fis-125	351	27	)	)	PUNCT
fis-125	351	28	m	m	VERB
fis-125	351	29	e	e	NOUN
fis-125	351	30	l	l	NOUN
fis-125	351	31	n	n	PROPN
fis-125	352	1	d	d	NOUN
fis-125	352	2	nl	nl	PROPN
fis-125	352	3	nd	nd	PROPN
fis-125	352	4	w	w	PROPN
fis-125	352	5			X
fis-125	352	6			X
fis-125	352	7			NOUN
fis-125	352	8			X
fis-125	352	9			SYM
fis-125	353	1	(	(	PUNCT
fis-125	353	2	40	40	NUM
fis-125	353	3	)	)	PUNCT
fis-125	353	4	remark	remark	NOUN
fis-125	353	5	4	4	NUM
fis-125	353	6	under	under	ADP
fis-125	353	7	hypotheses	hypothesis	NOUN
fis-125	353	8	1	1	NUM
fis-125	353	9	and	and	CCONJ
fis-125	353	10	2	2	NUM
fis-125	353	11	,	,	PUNCT
fis-125	353	12	we	we	PRON
fis-125	353	13	have	have	AUX
fis-125	353	14	really	really	ADV
fis-125	353	15	obtained	obtain	VERB
fis-125	353	16	a	a	DET
fis-125	353	17	damage	damage	NOUN
fis-125	353	18	evolution	evolution	NOUN
fis-125	353	19	tt	tt	PROPN
fis-125	353	20			PRON
fis-125	353	21	which	which	PRON
fis-125	353	22	satisfies	satisfy	VERB
fis-125	353	23	the	the	DET
fis-125	353	24	evolution	evolution	NOUN
fis-125	353	25	problem	problem	NOUN
fis-125	353	26	(	(	PUNCT
fis-125	353	27	13)--(15	13)--(15	NUM
fis-125	353	28	)	)	PUNCT
fis-125	353	29	if	if	SCONJ
fis-125	353	30	the	the	DET
fis-125	353	31	bar	bar	NOUN
fis-125	353	32	is	be	AUX
fis-125	353	33	long	long	ADV
fis-125	353	34	enough	enough	ADV
fis-125	353	35	and	and	CCONJ
fis-125	353	36	if	if	SCONJ
fis-125	353	37	we	we	PRON
fis-125	353	38	can	can	AUX
fis-125	353	39	control	control	VERB
fis-125	353	40	the	the	DET
fis-125	353	41	loading	loading	NOUN
fis-125	353	42	in	in	ADP
fis-125	353	43	such	such	DET
fis-125	353	44	a	a	DET
fis-125	353	45	manner	manner	NOUN
fis-125	353	46	that	that	SCONJ
fis-125	353	47	the	the	DET
fis-125	353	48	stress	stress	NOUN
fis-125	353	49	is	be	AUX
fis-125	353	50	continuously	continuously	ADV
fis-125	353	51	decreasing	decrease	VERB
fis-125	353	52	.	.	PUNCT
fis-125	354	1	but	but	CCONJ
fis-125	354	2	the	the	DET
fis-125	354	3	continuity	continuity	NOUN
fis-125	354	4	of	of	ADP
fis-125	354	5	tt	tt	PRON
fis-125	354	6			PROPN
fis-125	354	7	is	be	AUX
fis-125	354	8	not	not	PART
fis-125	354	9	automatically	automatically	ADV
fis-125	354	10	ensured	ensure	VERB
fis-125	354	11	as	as	SCONJ
fis-125	354	12	we	we	PRON
fis-125	354	13	show	show	VERB
fis-125	354	14	in	in	ADP
fis-125	354	15	the	the	DET
fis-125	354	16	next	next	ADJ
fis-125	354	17	subsection	subsection	NOUN
fis-125	354	18	.	.	PUNCT
fis-125	355	1	size	size	NOUN
fis-125	355	2	effects	effect	NOUN
fis-125	355	3	and	and	CCONJ
fis-125	355	4	the	the	DET
fis-125	355	5	different	different	ADJ
fis-125	355	6	scenarii	scenarii	NOUN
fis-125	355	7	let	let	VERB
fis-125	355	8	us	we	PRON
fis-125	355	9	consider	consider	VERB
fis-125	355	10	a	a	DET
fis-125	355	11	loading	loading	NOUN
fis-125	355	12	process	process	NOUN
fis-125	355	13	where	where	SCONJ
fis-125	355	14	=	=	AUX
fis-125	355	15	tu	tu	X
fis-125	355	16	tl	tl	PROPN
fis-125	355	17	,	,	PUNCT
fis-125	355	18	i.e.	i.e.	X
fis-125	355	19	such	such	ADJ
fis-125	355	20	that	that	SCONJ
fis-125	355	21	the	the	DET
fis-125	355	22	displacement	displacement	NOUN
fis-125	355	23	of	of	ADP
fis-125	355	24	the	the	DET
fis-125	355	25	end	end	NOUN
fis-125	355	26	=	=	NOUN
fis-125	355	27	x	x	X
fis-125	355	28	l	l	NOUN
fis-125	355	29	is	be	AUX
fis-125	355	30	monotonically	monotonically	ADV
fis-125	355	31	increasing	increase	VERB
fis-125	355	32	.	.	PUNCT
fis-125	356	1	consequently	consequently	ADV
fis-125	356	2	t	t	PROPN
fis-125	356	3	corresponds	correspond	VERB
fis-125	356	4	to	to	ADP
fis-125	356	5	the	the	DET
fis-125	356	6	average	average	ADJ
fis-125	356	7	strain	strain	NOUN
fis-125	356	8	of	of	ADP
fis-125	356	9	the	the	DET
fis-125	356	10	bar	bar	NOUN
fis-125	356	11	,	,	PUNCT
fis-125	356	12	=	=	SYM
fis-125	356	13	t	t	PROPN
fis-125	356	14	,	,	PUNCT
fis-125	356	15	and	and	CCONJ
fis-125	356	16	(	(	PUNCT
fis-125	356	17	36	36	NUM
fis-125	356	18	)	)	PUNCT
fis-125	356	19	reads	read	VERB
fis-125	356	20	now	now	ADV
fis-125	356	21	1	1	NUM
fis-125	356	22	0	0	NUM
fis-125	357	1	=	=	SYM
fis-125	357	2	(	(	PUNCT
fis-125	357	3	)	)	PUNCT
fis-125	357	4	dt	dt	PROPN
fis-125	357	5	tt	tt	PROPN
fis-125	357	6	n	n	CCONJ
fis-125	357	7	e	e	PROPN
fis-125	357	8	l	l	X
fis-125	357	9			PROPN
fis-125	357	10			PROPN
fis-125	357	11			NOUN
fis-125	357	12			X
fis-125	357	13	http://www.gruppofrattura.it	http://www.gruppofrattura.it	X
fis-125	357	14	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	357	15	k.	k.	PROPN
fis-125	357	16	pham	pham	PROPN
fis-125	357	17	et	et	PROPN
fis-125	357	18	alii	alii	PROPN
fis-125	357	19	,	,	PUNCT
fis-125	357	20	frattura	frattura	PROPN
fis-125	357	21	ed	ed	PROPN
fis-125	357	22	integrità	integrità	PROPN
fis-125	357	23	strutturale	strutturale	PROPN
fis-125	357	24	,	,	PUNCT
fis-125	357	25	19	19	NUM
fis-125	357	26	(	(	PUNCT
fis-125	357	27	2012	2012	NUM
fis-125	357	28	)	)	PUNCT
fis-125	357	29	5	5	NUM
fis-125	357	30	-	-	SYM
fis-125	357	31	19	19	NUM
fis-125	357	32	;	;	PUNCT
fis-125	357	33	doi	doi	NOUN
fis-125	357	34	:	:	PUNCT
fis-125	357	35	10.3221	10.3221	NUM
fis-125	357	36	/	/	SYM
fis-125	357	37	igf	igf	PROPN
fis-125	357	38	-	-	PUNCT
fis-125	357	39	esis.19.01	esis.19.01	ADJ
fis-125	357	40	18	18	NUM
fis-125	357	41	it	it	PRON
fis-125	357	42	remains	remain	VERB
fis-125	357	43	to	to	PART
fis-125	357	44	study	study	VERB
fis-125	357	45	under	under	ADP
fis-125	357	46	which	which	DET
fis-125	357	47	condition	condition	NOUN
fis-125	357	48	this	this	DET
fis-125	357	49	relation	relation	NOUN
fis-125	357	50	between	between	ADP
fis-125	357	51	t	t	PROPN
fis-125	357	52	and	and	CCONJ
fis-125	357	53			PROPN
fis-125	357	54	is	be	AUX
fis-125	357	55	invertible	invertible	ADJ
fis-125	357	56	.	.	PUNCT
fis-125	358	1	in	in	ADP
fis-125	358	2	other	other	ADJ
fis-125	358	3	words	word	NOUN
fis-125	358	4	,	,	PUNCT
fis-125	358	5	we	we	PRON
fis-125	358	6	have	have	VERB
fis-125	358	7	to	to	PART
fis-125	358	8	find	find	VERB
fis-125	358	9	when	when	SCONJ
fis-125	358	10	the	the	DET
fis-125	358	11	overall	overall	ADJ
fis-125	358	12	curve	curve	NOUN
fis-125	358	13			PROPN
fis-125	358	14	--	--	NOUN
fis-125	358	15	does	do	AUX
fis-125	358	16	not	not	PART
fis-125	358	17	contain	contain	VERB
fis-125	358	18	snap	snap	ADJ
fis-125	358	19	-	-	PUNCT
fis-125	358	20	backs	back	NOUN
fis-125	358	21	.	.	PUNCT
fis-125	359	1	specifically	specifically	ADV
fis-125	359	2	,	,	PUNCT
fis-125	359	3	in	in	ADP
fis-125	359	4	order	order	NOUN
fis-125	359	5	that	that	SCONJ
fis-125	359	6	there	there	PRON
fis-125	359	7	is	be	VERB
fis-125	359	8	no	no	DET
fis-125	359	9	snap	snap	NOUN
fis-125	359	10	-	-	PUNCT
fis-125	359	11	back	back	NOUN
fis-125	359	12	,	,	PUNCT
fis-125	359	13	we	we	PRON
fis-125	359	14	must	must	AUX
fis-125	359	15	have	have	VERB
fis-125	359	16	/	/	SYM
fis-125	359	17	(	(	PUNCT
fis-125	359	18	)	)	PUNCT
fis-125	359	19	0,d	0,d	NOUN
fis-125	360	1	d	d	ADJ
fis-125	360	2			X
fis-125	360	3			PROPN
fis-125	360	4			NOUN
fis-125	360	5			NOUN
fis-125	360	6	.	.	PUNCT
fis-125	361	1	by	by	ADP
fis-125	361	2	virtue	virtue	NOUN
fis-125	361	3	of	of	ADP
fis-125	361	4	(	(	PUNCT
fis-125	361	5	36	36	NUM
fis-125	361	6	)	)	PUNCT
fis-125	361	7	,	,	PUNCT
fis-125	361	8	that	that	PRON
fis-125	361	9	gives	give	VERB
fis-125	361	10	an	an	DET
fis-125	361	11	upper	upper	ADJ
fis-125	361	12	bound	bind	VERB
fis-125	361	13	for	for	ADP
fis-125	361	14	l	l	NOUN
fis-125	361	15	:	:	PUNCT
fis-125	361	16	1	1	NUM
fis-125	361	17	0	0	NUM
fis-125	361	18	(	(	PUNCT
fis-125	361	19	0	0	NUM
fis-125	361	20	,	,	PUNCT
fis-125	361	21	]	]	X
fis-125	361	22	0	0	PUNCT
fis-125	361	23	(	(	PUNCT
fis-125	361	24	)	)	PUNCT
fis-125	361	25	:	:	PUNCT
fis-125	362	1	=	=	X
fis-125	362	2	inf	inf	NOUN
fis-125	362	3	d	d	NOUN
fis-125	362	4	m	m	PROPN
fis-125	362	5	d	d	X
fis-125	362	6	l	l	NOUN
fis-125	362	7	n	n	NOUN
fis-125	362	8	e	e	ADP
fis-125	362	9	nl	nl	NOUN
fis-125	362	10	d	d	PROPN
fis-125	362	11			PROPN
fis-125	362	12			PROPN
fis-125	362	13			X
fis-125	362	14			NOUN
fis-125	362	15			ADP
fis-125	362	16			NOUN
fis-125	362	17			NUM
fis-125	362	18			NOUN
fis-125	362	19			PROPN
fis-125	362	20			PROPN
fis-125	362	21			PROPN
fis-125	362	22			X
fis-125	362	23	(	(	PUNCT
fis-125	362	24	41	41	NUM
fis-125	362	25	)	)	PUNCT
fis-125	362	26	of	of	ADP
fis-125	362	27	course	course	NOUN
fis-125	362	28	,	,	PUNCT
fis-125	362	29	this	this	DET
fis-125	362	30	condition	condition	NOUN
fis-125	362	31	is	be	AUX
fis-125	362	32	never	never	ADV
fis-125	362	33	satisfied	satisfied	ADJ
fis-125	362	34	when	when	SCONJ
fis-125	362	35	1	1	NUM
fis-125	362	36	(	(	PUNCT
fis-125	362	37	)	)	PUNCT
fis-125	362	38	d	d	NOUN
fis-125	362	39			PROPN
fis-125	362	40			NOUN
fis-125	362	41	is	be	AUX
fis-125	362	42	not	not	PART
fis-125	362	43	decreasing	decrease	VERB
fis-125	362	44	.	.	PUNCT
fis-125	363	1	(	(	PUNCT
fis-125	363	2	for	for	ADP
fis-125	363	3	example	example	NOUN
fis-125	363	4	,	,	PUNCT
fis-125	363	5	in	in	ADP
fis-125	363	6	the	the	DET
fis-125	363	7	case	case	NOUN
fis-125	363	8	of	of	ADP
fis-125	363	9	the	the	DET
fis-125	363	10	family	family	NOUN
fis-125	363	11	of	of	ADP
fis-125	363	12	models	model	NOUN
fis-125	363	13	of	of	ADP
fis-125	363	14	example	example	NOUN
fis-125	363	15	2	2	NUM
fis-125	363	16	,	,	PUNCT
fis-125	363	17	it	it	PRON
fis-125	363	18	is	be	AUX
fis-125	363	19	never	never	ADV
fis-125	363	20	satisfied	satisfied	ADJ
fis-125	363	21	if	if	SCONJ
fis-125	363	22	<	<	X
fis-125	363	23	2q	2q	NUM
fis-125	363	24	,	,	PUNCT
fis-125	363	25	cf	cf	NOUN
fis-125	363	26	example	example	NOUN
fis-125	363	27	7	7	NUM
fis-125	363	28	.	.	PUNCT
fis-125	363	29	)	)	PUNCT
fis-125	364	1	depending	depend	VERB
fis-125	364	2	on	on	ADP
fis-125	364	3	the	the	DET
fis-125	364	4	properties	property	NOUN
fis-125	364	5	of	of	ADP
fis-125	364	6	the	the	DET
fis-125	364	7	model	model	NOUN
fis-125	364	8	,	,	PUNCT
fis-125	364	9	the	the	DET
fis-125	364	10	length	length	NOUN
fis-125	364	11	of	of	ADP
fis-125	364	12	the	the	DET
fis-125	364	13	bar	bar	NOUN
fis-125	364	14	and	and	CCONJ
fis-125	364	15	the	the	DET
fis-125	364	16	number	number	NOUN
fis-125	364	17	of	of	ADP
fis-125	364	18	localization	localization	NOUN
fis-125	364	19	zones	zone	NOUN
fis-125	364	20	,	,	PUNCT
fis-125	364	21	we	we	PRON
fis-125	364	22	can	can	AUX
fis-125	364	23	obtain	obtain	VERB
fis-125	364	24	different	different	ADJ
fis-125	364	25	scenarii	scenarii	NOUN
fis-125	364	26	.	.	PUNCT
fis-125	365	1	let	let	VERB
fis-125	365	2	us	we	PRON
fis-125	365	3	consider	consider	VERB
fis-125	365	4	only	only	ADV
fis-125	365	5	the	the	DET
fis-125	365	6	situation	situation	NOUN
fis-125	365	7	with	with	ADP
fis-125	365	8	one	one	NUM
fis-125	365	9	localization	localization	NOUN
fis-125	365	10	zone	zone	NOUN
fis-125	365	11	(	(	PUNCT
fis-125	365	12	=	=	NOUN
fis-125	365	13	1n	1n	NUM
fis-125	365	14	)	)	PUNCT
fis-125	365	15	,	,	PUNCT
fis-125	365	16	to	to	PART
fis-125	365	17	simplify	simplify	VERB
fis-125	365	18	the	the	DET
fis-125	365	19	presentation	presentation	NOUN
fis-125	365	20	.	.	PUNCT
fis-125	366	1	we	we	PRON
fis-125	366	2	can	can	AUX
fis-125	366	3	distinguish	distinguish	VERB
fis-125	366	4	two	two	NUM
fis-125	366	5	cases	case	NOUN
fis-125	366	6	:	:	PUNCT
fis-125	366	7	1	1	X
fis-125	366	8	.	.	X
fis-125	366	9	case	case	NOUN
fis-125	366	10	0	0	NUM
fis-125	366	11	>	>	SYM
fis-125	366	12	2	2	NUM
fis-125	366	13	(	(	PUNCT
fis-125	366	14	)	)	PUNCT
fis-125	366	15	m	m	VERB
fis-125	366	16	ml	ml	PROPN
fis-125	366	17	d	d	PROPN
fis-125	366	18	l	l	PROPN
fis-125	366	19			NUM
fis-125	366	20	.	.	PUNCT
fis-125	367	1	in	in	ADP
fis-125	367	2	such	such	DET
fis-125	367	3	a	a	DET
fis-125	367	4	case	case	NOUN
fis-125	367	5	we	we	PRON
fis-125	367	6	have	have	VERB
fis-125	367	7	three	three	NUM
fis-125	367	8	situations	situation	NOUN
fis-125	367	9	(	(	PUNCT
fis-125	367	10	a	a	NOUN
fis-125	367	11	)	)	PUNCT
fis-125	367	12	for	for	ADP
fis-125	367	13	very	very	ADV
fis-125	367	14	short	short	ADJ
fis-125	367	15	bars	bar	NOUN
fis-125	367	16	,	,	PUNCT
fis-125	367	17	i.e.	i.e.	X
fis-125	367	18	02	02	NUM
fis-125	367	19	(	(	PUNCT
fis-125	367	20	)	)	PUNCT
fis-125	367	21	l	l	NOUN
fis-125	367	22	d	d	PROPN
fis-125	367	23			NOUN
fis-125	367	24	,	,	PUNCT
fis-125	367	25	no	no	DET
fis-125	367	26	solution	solution	NOUN
fis-125	367	27	with	with	ADP
fis-125	367	28	localization	localization	NOUN
fis-125	367	29	is	be	AUX
fis-125	367	30	possible	possible	ADJ
fis-125	367	31	.	.	PUNCT
fis-125	368	1	the	the	DET
fis-125	368	2	homogeneous	homogeneous	ADJ
fis-125	368	3	solution	solution	NOUN
fis-125	368	4	is	be	AUX
fis-125	368	5	the	the	DET
fis-125	368	6	unique	unique	ADJ
fis-125	368	7	solution	solution	NOUN
fis-125	368	8	;	;	PUNCT
fis-125	368	9	(	(	PUNCT
fis-125	368	10	b	b	X
fis-125	368	11	)	)	PUNCT
fis-125	368	12	for	for	ADP
fis-125	368	13	short	short	ADJ
fis-125	368	14	bars	bar	NOUN
fis-125	368	15	,	,	PUNCT
fis-125	368	16	i.e.	i.e.	X
fis-125	368	17	02	02	NUM
fis-125	368	18	(	(	PUNCT
fis-125	368	19	)	)	PUNCT
fis-125	368	20	<	<	X
fis-125	368	21	md	md	PROPN
fis-125	368	22	l	l	PROPN
fis-125	368	23	l	l	PROPN
fis-125	368	24			PROPN
fis-125	368	25	,	,	PUNCT
fis-125	368	26	a	a	DET
fis-125	368	27	solution	solution	NOUN
fis-125	368	28	with	with	ADP
fis-125	368	29	localization	localization	NOUN
fis-125	368	30	is	be	AUX
fis-125	368	31	possible	possible	ADJ
fis-125	368	32	just	just	ADV
fis-125	368	33	after	after	ADP
fis-125	368	34	the	the	DET
fis-125	368	35	elastic	elastic	ADJ
fis-125	368	36	phase	phase	NOUN
fis-125	368	37	,	,	PUNCT
fis-125	368	38	but	but	CCONJ
fis-125	368	39	the	the	DET
fis-125	368	40	localization	localization	NOUN
fis-125	368	41	zone	zone	NOUN
fis-125	368	42	will	will	AUX
fis-125	368	43	progressively	progressively	ADV
fis-125	368	44	cover	cover	VERB
fis-125	368	45	all	all	DET
fis-125	368	46	the	the	DET
fis-125	368	47	bar	bar	NOUN
fis-125	368	48	and	and	CCONJ
fis-125	368	49	a	a	DET
fis-125	368	50	snap	snap	VERB
fis-125	368	51	-	-	PUNCT
fis-125	368	52	back	back	NOUN
fis-125	368	53	is	be	AUX
fis-125	368	54	possible	possible	ADJ
fis-125	368	55	;	;	PUNCT
fis-125	368	56	(	(	PUNCT
fis-125	368	57	c	c	X
fis-125	368	58	)	)	PUNCT
fis-125	368	59	for	for	ADP
fis-125	368	60	long	long	ADJ
fis-125	368	61	bars	bar	NOUN
fis-125	368	62	,	,	PUNCT
fis-125	368	63	i.e.	i.e.	X
fis-125	368	64	>	>	X
fis-125	368	65	ml	ml	X
fis-125	368	66	l	l	NOUN
fis-125	368	67	,	,	PUNCT
fis-125	368	68	a	a	DET
fis-125	368	69	solution	solution	NOUN
fis-125	368	70	with	with	ADP
fis-125	368	71	localization	localization	NOUN
fis-125	368	72	is	be	AUX
fis-125	368	73	possible	possible	ADJ
fis-125	368	74	,	,	PUNCT
fis-125	368	75	but	but	CCONJ
fis-125	368	76	it	it	PRON
fis-125	368	77	is	be	AUX
fis-125	368	78	necessarily	necessarily	ADV
fis-125	368	79	discontinuous	discontinuous	ADJ
fis-125	368	80	in	in	ADP
fis-125	368	81	time	time	NOUN
fis-125	368	82	because	because	SCONJ
fis-125	368	83	of	of	ADP
fis-125	368	84	the	the	DET
fis-125	368	85	presence	presence	NOUN
fis-125	368	86	of	of	ADP
fis-125	368	87	a	a	DET
fis-125	368	88	snap	snap	NOUN
fis-125	368	89	-	-	PUNCT
fis-125	368	90	back	back	NOUN
fis-125	368	91	in	in	ADP
fis-125	368	92	the	the	DET
fis-125	368	93	overall	overall	ADJ
fis-125	368	94	stress	stress	NOUN
fis-125	368	95	-	-	PUNCT
fis-125	368	96	strain	strain	NOUN
fis-125	368	97	response	response	NOUN
fis-125	368	98	.	.	PUNCT
fis-125	369	1	2	2	X
fis-125	369	2	.	.	X
fis-125	369	3	case	case	NOUN
fis-125	369	4	<	<	X
fis-125	369	5	m	m	VERB
fis-125	369	6	ml	ml	ADP
fis-125	369	7	l	l	NOUN
fis-125	369	8	.	.	PUNCT
fis-125	370	1	we	we	PRON
fis-125	370	2	have	have	VERB
fis-125	370	3	then	then	ADV
fis-125	370	4	four	four	NUM
fis-125	370	5	possibilities	possibility	NOUN
fis-125	370	6	,	,	PUNCT
fis-125	370	7	the	the	DET
fis-125	370	8	first	first	ADJ
fis-125	370	9	two	two	NUM
fis-125	370	10	(	(	PUNCT
fis-125	370	11	a	a	NOUN
fis-125	370	12	)	)	PUNCT
fis-125	370	13	and	and	CCONJ
fis-125	370	14	(	(	PUNCT
fis-125	370	15	b	b	X
fis-125	370	16	)	)	PUNCT
fis-125	370	17	are	be	AUX
fis-125	370	18	the	the	DET
fis-125	370	19	same	same	ADJ
fis-125	370	20	as	as	ADP
fis-125	370	21	before	before	ADV
fis-125	370	22	(	(	PUNCT
fis-125	370	23	a	a	NOUN
fis-125	370	24	)	)	PUNCT
fis-125	370	25	for	for	ADP
fis-125	370	26	intermediate	intermediate	ADJ
fis-125	370	27	bars	bar	NOUN
fis-125	370	28	,	,	PUNCT
fis-125	370	29	i.e.	i.e.	X
fis-125	370	30	<	<	X
fis-125	370	31	m	m	VERB
fis-125	370	32	ml	ml	ADP
fis-125	370	33	l	l	NOUN
fis-125	370	34	l	l	NOUN
fis-125	370	35	,	,	PUNCT
fis-125	370	36	a	a	DET
fis-125	370	37	continuous	continuous	ADJ
fis-125	370	38	solution	solution	NOUN
fis-125	370	39	with	with	ADP
fis-125	370	40	localization	localization	NOUN
fis-125	370	41	is	be	AUX
fis-125	370	42	possible	possible	ADJ
fis-125	370	43	,	,	PUNCT
fis-125	370	44	the	the	DET
fis-125	370	45	damaged	damage	VERB
fis-125	370	46	zone	zone	NOUN
fis-125	370	47	does	do	AUX
fis-125	370	48	not	not	PART
fis-125	370	49	reach	reach	VERB
fis-125	370	50	the	the	DET
fis-125	370	51	boundary	boundary	NOUN
fis-125	370	52	,	,	PUNCT
fis-125	370	53	there	there	PRON
fis-125	370	54	is	be	VERB
fis-125	370	55	no	no	DET
fis-125	370	56	snap	snap	NOUN
fis-125	370	57	-	-	PUNCT
fis-125	370	58	back	back	NOUN
fis-125	370	59	;	;	PUNCT
fis-125	370	60	(	(	PUNCT
fis-125	370	61	b	b	X
fis-125	370	62	)	)	PUNCT
fis-125	370	63	for	for	ADP
fis-125	370	64	long	long	ADJ
fis-125	370	65	bars	bar	NOUN
fis-125	370	66	,	,	PUNCT
fis-125	370	67	i.e.	i.e.	X
fis-125	370	68	>	>	X
fis-125	370	69	ml	ml	X
fis-125	370	70	l	l	NOUN
fis-125	370	71	,	,	PUNCT
fis-125	370	72	a	a	DET
fis-125	370	73	solution	solution	NOUN
fis-125	370	74	with	with	ADP
fis-125	370	75	localization	localization	NOUN
fis-125	370	76	is	be	AUX
fis-125	370	77	possible	possible	ADJ
fis-125	370	78	,	,	PUNCT
fis-125	370	79	but	but	CCONJ
fis-125	370	80	it	it	PRON
fis-125	370	81	is	be	AUX
fis-125	370	82	necessarily	necessarily	ADV
fis-125	370	83	discontinuous	discontinuous	ADJ
fis-125	370	84	in	in	ADP
fis-125	370	85	time	time	NOUN
fis-125	370	86	because	because	SCONJ
fis-125	370	87	of	of	ADP
fis-125	370	88	the	the	DET
fis-125	370	89	presence	presence	NOUN
fis-125	370	90	of	of	ADP
fis-125	370	91	a	a	DET
fis-125	370	92	snap	snap	NOUN
fis-125	370	93	-	-	PUNCT
fis-125	370	94	back	back	NOUN
fis-125	370	95	.	.	PUNCT
fis-125	371	1	example	example	NOUN
fis-125	371	2	8	8	NUM
fis-125	371	3	in	in	ADP
fis-125	371	4	the	the	DET
fis-125	371	5	case	case	NOUN
fis-125	371	6	of	of	ADP
fis-125	371	7	the	the	DET
fis-125	371	8	family	family	NOUN
fis-125	371	9	of	of	ADP
fis-125	371	10	models	model	NOUN
fis-125	371	11	of	of	ADP
fis-125	371	12	example	example	NOUN
fis-125	372	1	2	2	NUM
fis-125	372	2	,	,	PUNCT
fis-125	372	3	if	if	SCONJ
fis-125	372	4	<	<	X
fis-125	372	5	2q	2q	X
fis-125	372	6	,	,	PUNCT
fis-125	372	7	then	then	ADV
fis-125	372	8	<	<	X
fis-125	372	9	0ml	0ml	NOUN
fis-125	372	10	.	.	PUNCT
fis-125	373	1	it	it	PRON
fis-125	373	2	is	be	AUX
fis-125	373	3	not	not	PART
fis-125	373	4	possible	possible	ADJ
fis-125	373	5	to	to	PART
fis-125	373	6	find	find	VERB
fis-125	373	7	a	a	DET
fis-125	373	8	non	non	ADJ
fis-125	373	9	homogeneous	homogeneous	ADJ
fis-125	373	10	solution	solution	NOUN
fis-125	373	11	without	without	ADP
fis-125	373	12	snap	snap	NOUN
fis-125	373	13	-	-	PUNCT
fis-125	373	14	back	back	NOUN
fis-125	373	15	.	.	PUNCT
fis-125	374	1	if	if	SCONJ
fis-125	374	2	=	=	NOUN
fis-125	374	3	2q	2q	NUM
fis-125	374	4	and	and	CCONJ
fis-125	374	5	=	=	SYM
fis-125	374	6	4p	4p	NUM
fis-125	374	7	,	,	PUNCT
fis-125	374	8	then	then	ADV
fis-125	374	9	0	0	NUM
fis-125	374	10	0	0	NUM
fis-125	374	11	4	4	NUM
fis-125	374	12	72	72	NUM
fis-125	374	13	=	=	SYM
fis-125	374	14	<	<	X
fis-125	374	15	=	=	SYM
fis-125	374	16	6	6	NUM
fis-125	374	17	17	17	NUM
fis-125	374	18	17	17	NUM
fis-125	374	19	m	m	NOUN
fis-125	374	20	ml	ml	ADP
fis-125	374	21	l	l	X
fis-125	374	22			PROPN
fis-125	374	23			PROPN
fis-125	374	24			PROPN
fis-125	374	25			X
fis-125	374	26			ADJ
fis-125	374	27	.	.	PUNCT
fis-125	375	1	therefore	therefore	ADV
fis-125	375	2	,	,	PUNCT
fis-125	375	3	for	for	ADP
fis-125	375	4	bars	bar	NOUN
fis-125	375	5	with	with	ADP
fis-125	375	6	an	an	DET
fis-125	375	7	intermediate	intermediate	ADJ
fis-125	375	8	length	length	NOUN
fis-125	375	9	we	we	PRON
fis-125	375	10	can	can	AUX
fis-125	375	11	find	find	VERB
fis-125	375	12	a	a	DET
fis-125	375	13	continuous	continuous	ADJ
fis-125	375	14	in	in	ADP
fis-125	375	15	time	time	NOUN
fis-125	375	16	localized	localize	VERB
fis-125	375	17	solution	solution	NOUN
fis-125	375	18	,	,	PUNCT
fis-125	375	19	cf	cf	NOUN
fis-125	375	20	fig	fig	NOUN
fis-125	375	21	.	.	PUNCT
fis-125	376	1	7	7	NUM
fis-125	376	2	(	(	PUNCT
fis-125	376	3	left	left	ADV
fis-125	376	4	)	)	PUNCT
fis-125	376	5	,	,	PUNCT
fis-125	376	6	while	while	SCONJ
fis-125	376	7	for	for	ADP
fis-125	376	8	long	long	ADJ
fis-125	376	9	bars	bar	NOUN
fis-125	376	10	a	a	DET
fis-125	376	11	localized	localized	ADJ
fis-125	376	12	solution	solution	NOUN
fis-125	376	13	is	be	AUX
fis-125	376	14	necessarily	necessarily	ADV
fis-125	376	15	discontinuous	discontinuous	ADJ
fis-125	376	16	in	in	ADP
fis-125	376	17	time	time	NOUN
fis-125	376	18	just	just	ADV
fis-125	376	19	after	after	ADP
fis-125	376	20	the	the	DET
fis-125	376	21	elastic	elastic	ADJ
fis-125	376	22	phase	phase	NOUN
fis-125	376	23	,	,	PUNCT
fis-125	376	24	cf	cf	NOUN
fis-125	376	25	fig	fig	NOUN
fis-125	376	26	.	.	PUNCT
fis-125	377	1	7	7	NUM
fis-125	377	2	(	(	PUNCT
fis-125	377	3	right	right	NOUN
fis-125	377	4	)	)	PUNCT
fis-125	377	5	.	.	PUNCT
fis-125	378	1	figure	figure	VERB
fis-125	378	2	7	7	NUM
fis-125	378	3	:	:	PUNCT
fis-125	378	4	overall	overall	ADJ
fis-125	378	5	stress	stress	NOUN
fis-125	378	6	-	-	PUNCT
fis-125	378	7	strain	strain	NOUN
fis-125	378	8	relations	relation	NOUN
fis-125	378	9	for	for	ADP
fis-125	378	10	a	a	DET
fis-125	378	11	law	law	NOUN
fis-125	378	12	of	of	ADP
fis-125	378	13	example	example	NOUN
fis-125	378	14	2	2	NUM
fis-125	378	15	with	with	ADP
fis-125	378	16	=	=	NOUN
fis-125	378	17	4p	4p	PROPN
fis-125	378	18	and	and	CCONJ
fis-125	378	19	=	=	SYM
fis-125	378	20	2q	2q	NUM
fis-125	378	21	(	(	PUNCT
fis-125	378	22	thin	thin	ADJ
fis-125	378	23	curve	curve	NOUN
fis-125	378	24	=	=	SYM
fis-125	378	25	homogeneous	homogeneous	ADJ
fis-125	378	26	response	response	NOUN
fis-125	378	27	;	;	PUNCT
fis-125	378	28	thick	thick	ADJ
fis-125	378	29	curve	curve	NOUN
fis-125	378	30	=	=	ADJ
fis-125	378	31	localized	localized	ADJ
fis-125	378	32	response	response	NOUN
fis-125	378	33	)	)	PUNCT
fis-125	378	34	.	.	PUNCT
fis-125	379	1	left	leave	VERB
fis-125	379	2	:	:	PUNCT
fis-125	379	3	for	for	ADP
fis-125	379	4	a	a	DET
fis-125	379	5	bar	bar	NOUN
fis-125	379	6	of	of	ADP
fis-125	379	7	intermediate	intermediate	ADJ
fis-125	379	8	length	length	NOUN
fis-125	379	9	;	;	PUNCT
fis-125	379	10	right	right	ADV
fis-125	379	11	:	:	PUNCT
fis-125	379	12	for	for	ADP
fis-125	379	13	a	a	DET
fis-125	379	14	long	long	ADJ
fis-125	379	15	bar	bar	NOUN
fis-125	379	16	.	.	PUNCT
fis-125	380	1	conclusion	conclusion	NOUN
fis-125	380	2	and	and	CCONJ
fis-125	380	3	perspectives	perspective	NOUN
fis-125	380	4	e	e	AUX
fis-125	380	5	have	have	AUX
fis-125	380	6	proposed	propose	VERB
fis-125	380	7	a	a	DET
fis-125	380	8	method	method	NOUN
fis-125	380	9	of	of	ADP
fis-125	380	10	construction	construction	NOUN
fis-125	380	11	of	of	ADP
fis-125	380	12	non	non	ADJ
fis-125	380	13	homogeneous	homogeneous	ADJ
fis-125	380	14	solutions	solution	NOUN
fis-125	380	15	for	for	ADP
fis-125	380	16	the	the	DET
fis-125	380	17	one	one	NUM
fis-125	380	18	-	-	PUNCT
fis-125	380	19	dimensional	dimensional	ADJ
fis-125	380	20	damage	damage	NOUN
fis-125	380	21	evolution	evolution	NOUN
fis-125	380	22	problem	problem	NOUN
fis-125	380	23	of	of	ADP
fis-125	380	24	a	a	DET
fis-125	380	25	bar	bar	NOUN
fis-125	380	26	under	under	ADP
fis-125	380	27	traction	traction	NOUN
fis-125	380	28	.	.	PUNCT
fis-125	381	1	we	we	PRON
fis-125	381	2	have	have	AUX
fis-125	381	3	shown	show	VERB
fis-125	381	4	that	that	SCONJ
fis-125	381	5	the	the	DET
fis-125	381	6	properties	property	NOUN
fis-125	381	7	of	of	ADP
fis-125	381	8	such	such	DET
fis-125	381	9	a	a	DET
fis-125	381	10	localized	localized	ADJ
fis-125	381	11	solution	solution	NOUN
fis-125	381	12	is	be	AUX
fis-125	381	13	very	very	ADV
fis-125	381	14	sensitive	sensitive	ADJ
fis-125	381	15	to	to	ADP
fis-125	381	16	the	the	DET
fis-125	381	17	parameters	parameter	NOUN
fis-125	381	18	of	of	ADP
fis-125	381	19	the	the	DET
fis-125	381	20	model	model	NOUN
fis-125	381	21	.	.	PUNCT
fis-125	382	1	this	this	DET
fis-125	382	2	strong	strong	ADJ
fis-125	382	3	dependence	dependence	NOUN
fis-125	382	4	could	could	AUX
fis-125	382	5	be	be	AUX
fis-125	382	6	very	very	ADV
fis-125	382	7	interesting	interesting	ADJ
fis-125	382	8	from	from	ADP
fis-125	382	9	an	an	DET
fis-125	382	10	w	w	PROPN
fis-125	382	11	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	382	12	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN
fis-125	382	13	k.	k.	PROPN
fis-125	382	14	pham	pham	PROPN
fis-125	382	15	et	et	PROPN
fis-125	382	16	alii	alii	PROPN
fis-125	382	17	,	,	PUNCT
fis-125	382	18	frattura	frattura	PROPN
fis-125	382	19	ed	ed	PROPN
fis-125	382	20	integrità	integrità	PROPN
fis-125	382	21	strutturale	strutturale	PROPN
fis-125	382	22	,	,	PUNCT
fis-125	382	23	19	19	NUM
fis-125	382	24	(	(	PUNCT
fis-125	382	25	2012	2012	NUM
fis-125	382	26	)	)	PUNCT
fis-125	382	27	5	5	NUM
fis-125	382	28	-	-	SYM
fis-125	382	29	19	19	NUM
fis-125	382	30	;	;	PUNCT
fis-125	382	31	doi	doi	NOUN
fis-125	382	32	:	:	PUNCT
fis-125	382	33	10.3221	10.3221	NUM
fis-125	382	34	/	/	SYM
fis-125	382	35	igf	igf	PROPN
fis-125	382	36	-	-	PUNCT
fis-125	382	37	esis.19.01	esis.19.01	ADJ
fis-125	382	38	19	19	NUM
fis-125	382	39	experimental	experimental	ADJ
fis-125	382	40	viewpoint	viewpoint	NOUN
fis-125	382	41	to	to	PART
fis-125	382	42	identify	identify	VERB
fis-125	382	43	the	the	DET
fis-125	382	44	right	right	ADJ
fis-125	382	45	law	law	NOUN
fis-125	382	46	.	.	PUNCT
fis-125	383	1	from	from	ADP
fis-125	383	2	a	a	DET
fis-125	383	3	theoretical	theoretical	ADJ
fis-125	383	4	viewpoint	viewpoint	NOUN
fis-125	383	5	,	,	PUNCT
fis-125	383	6	the	the	DET
fis-125	383	7	presence	presence	NOUN
fis-125	383	8	of	of	ADP
fis-125	383	9	the	the	DET
fis-125	383	10	gradient	gradient	NOUN
fis-125	383	11	of	of	ADP
fis-125	383	12	damage	damage	NOUN
fis-125	383	13	in	in	ADP
fis-125	383	14	the	the	DET
fis-125	383	15	model	model	NOUN
fis-125	383	16	has	have	VERB
fis-125	383	17	a	a	DET
fis-125	383	18	regularizing	regularize	VERB
fis-125	383	19	role	role	NOUN
fis-125	383	20	as	as	SCONJ
fis-125	383	21	expected	expect	VERB
fis-125	383	22	and	and	CCONJ
fis-125	383	23	limits	limit	VERB
fis-125	383	24	the	the	DET
fis-125	383	25	possibility	possibility	NOUN
fis-125	383	26	of	of	ADP
fis-125	383	27	localization	localization	NOUN
fis-125	383	28	of	of	ADP
fis-125	383	29	the	the	DET
fis-125	383	30	damage	damage	NOUN
fis-125	383	31	since	since	SCONJ
fis-125	383	32	the	the	DET
fis-125	383	33	size	size	NOUN
fis-125	383	34	of	of	ADP
fis-125	383	35	a	a	DET
fis-125	383	36	localization	localization	NOUN
fis-125	383	37	zone	zone	NOUN
fis-125	383	38	is	be	AUX
fis-125	383	39	necessarily	necessarily	ADV
fis-125	383	40	greater	great	ADJ
fis-125	383	41	than	than	ADP
fis-125	383	42	a	a	DET
fis-125	383	43	value	value	NOUN
fis-125	383	44	fixed	fix	VERB
fis-125	383	45	by	by	ADP
fis-125	383	46	the	the	DET
fis-125	383	47	internal	internal	ADJ
fis-125	383	48	length	length	NOUN
fis-125	383	49	of	of	ADP
fis-125	383	50	the	the	DET
fis-125	383	51	material	material	NOUN
fis-125	383	52	and	and	CCONJ
fis-125	383	53	the	the	DET
fis-125	383	54	others	other	NOUN
fis-125	383	55	parameters	parameter	NOUN
fis-125	383	56	of	of	ADP
fis-125	383	57	the	the	DET
fis-125	383	58	model	model	NOUN
fis-125	383	59	.	.	PUNCT
fis-125	384	1	moreover	moreover	ADV
fis-125	384	2	,	,	PUNCT
fis-125	384	3	this	this	DET
fis-125	384	4	non	non	PRON
fis-125	384	5	local	local	ADJ
fis-125	384	6	term	term	NOUN
fis-125	384	7	induces	induce	VERB
fis-125	384	8	size	size	NOUN
fis-125	384	9	effects	effect	NOUN
fis-125	384	10	in	in	ADP
fis-125	384	11	the	the	DET
fis-125	384	12	response	response	NOUN
fis-125	384	13	of	of	ADP
fis-125	384	14	the	the	DET
fis-125	384	15	bar	bar	NOUN
fis-125	384	16	with	with	ADP
fis-125	384	17	in	in	ADP
fis-125	384	18	particular	particular	ADJ
fis-125	384	19	a	a	DET
fis-125	384	20	necessarily	necessarily	ADV
fis-125	384	21	discontinuous	discontinuous	ADJ
fis-125	384	22	response	response	NOUN
fis-125	384	23	and	and	CCONJ
fis-125	384	24	even	even	ADV
fis-125	384	25	a	a	DET
fis-125	384	26	brutal	brutal	ADJ
fis-125	384	27	onset	onset	NOUN
fis-125	384	28	of	of	ADP
fis-125	384	29	the	the	DET
fis-125	384	30	damage	damage	NOUN
fis-125	384	31	after	after	ADP
fis-125	384	32	the	the	DET
fis-125	384	33	elastic	elastic	ADJ
fis-125	384	34	phase	phase	NOUN
fis-125	384	35	for	for	ADP
fis-125	384	36	long	long	ADJ
fis-125	384	37	bars	bar	NOUN
fis-125	384	38	.	.	PUNCT
fis-125	385	1	when	when	SCONJ
fis-125	385	2	the	the	DET
fis-125	385	3	bar	bar	NOUN
fis-125	385	4	is	be	AUX
fis-125	385	5	sufficiently	sufficiently	ADV
fis-125	385	6	long	long	ADJ
fis-125	385	7	,	,	PUNCT
fis-125	385	8	our	our	PRON
fis-125	385	9	construction	construction	NOUN
fis-125	385	10	gives	give	VERB
fis-125	385	11	several	several	ADJ
fis-125	385	12	solutions	solution	NOUN
fis-125	385	13	for	for	ADP
fis-125	385	14	the	the	DET
fis-125	385	15	evolution	evolution	NOUN
fis-125	385	16	problem	problem	NOUN
fis-125	385	17	,	,	PUNCT
fis-125	385	18	the	the	DET
fis-125	385	19	number	number	NOUN
fis-125	385	20	of	of	ADP
fis-125	385	21	localizations	localization	NOUN
fis-125	385	22	zones	zone	NOUN
fis-125	385	23	being	be	AUX
fis-125	385	24	only	only	ADV
fis-125	385	25	restricted	restrict	VERB
fis-125	385	26	by	by	ADP
fis-125	385	27	the	the	DET
fis-125	385	28	length	length	NOUN
fis-125	385	29	of	of	ADP
fis-125	385	30	the	the	DET
fis-125	385	31	bar	bar	NOUN
fis-125	385	32	.	.	PUNCT
fis-125	386	1	we	we	PRON
fis-125	386	2	could	could	AUX
fis-125	386	3	probably	probably	ADV
fis-125	386	4	construct	construct	VERB
fis-125	386	5	many	many	ADJ
fis-125	386	6	other	other	ADJ
fis-125	386	7	solutions	solution	NOUN
fis-125	386	8	as	as	SCONJ
fis-125	386	9	it	it	PRON
fis-125	386	10	was	be	AUX
fis-125	386	11	made	make	VERB
fis-125	386	12	in	in	ADP
fis-125	386	13	[	[	X
fis-125	386	14	2	2	NUM
fis-125	386	15	]	]	PUNCT
fis-125	386	16	.	.	PUNCT
fis-125	387	1	this	this	DET
fis-125	387	2	drastic	drastic	ADJ
fis-125	387	3	lack	lack	NOUN
fis-125	387	4	of	of	ADP
fis-125	387	5	uniqueness	uniqueness	NOUN
fis-125	387	6	that	that	SCONJ
fis-125	387	7	the	the	DET
fis-125	387	8	introduction	introduction	NOUN
fis-125	387	9	of	of	ADP
fis-125	387	10	a	a	DET
fis-125	387	11	non	non	ADJ
fis-125	387	12	local	local	ADJ
fis-125	387	13	term	term	NOUN
fis-125	387	14	has	have	AUX
fis-125	387	15	not	not	PART
fis-125	387	16	removed	remove	VERB
fis-125	387	17	needs	need	NOUN
fis-125	387	18	to	to	PART
fis-125	387	19	add	add	VERB
fis-125	387	20	a	a	DET
fis-125	387	21	selection	selection	NOUN
fis-125	387	22	criterion	criterion	NOUN
fis-125	387	23	.	.	PUNCT
fis-125	388	1	a	a	DET
fis-125	388	2	good	good	ADJ
fis-125	388	3	candidate	candidate	NOUN
fis-125	388	4	is	be	AUX
fis-125	388	5	of	of	ADP
fis-125	388	6	course	course	NOUN
fis-125	388	7	the	the	DET
fis-125	388	8	stability	stability	NOUN
fis-125	388	9	criterion	criterion	NOUN
fis-125	388	10	introduced	introduce	VERB
fis-125	388	11	in	in	ADP
fis-125	388	12	[	[	X
fis-125	388	13	2	2	NUM
fis-125	388	14	]	]	PUNCT
fis-125	388	15	and	and	CCONJ
fis-125	388	16	used	use	VERB
fis-125	388	17	to	to	PART
fis-125	388	18	study	study	VERB
fis-125	388	19	the	the	DET
fis-125	388	20	stability	stability	NOUN
fis-125	388	21	of	of	ADP
fis-125	388	22	homogeneous	homogeneous	ADJ
fis-125	388	23	responses	response	NOUN
fis-125	388	24	in	in	ADP
fis-125	388	25	[	[	X
fis-125	388	26	12	12	NUM
fis-125	388	27	]	]	PUNCT
fis-125	388	28	.	.	PUNCT
fis-125	389	1	the	the	DET
fis-125	389	2	next	next	ADJ
fis-125	389	3	challenge	challenge	NOUN
fis-125	389	4	is	be	AUX
fis-125	389	5	to	to	PART
fis-125	389	6	find	find	VERB
fis-125	389	7	which	which	DET
fis-125	389	8	solutions	solution	NOUN
fis-125	389	9	among	among	ADP
fis-125	389	10	all	all	DET
fis-125	389	11	those	those	PRON
fis-125	389	12	we	we	PRON
fis-125	389	13	have	have	AUX
fis-125	389	14	constructed	construct	VERB
fis-125	389	15	satisfy	satisfy	VERB
fis-125	389	16	the	the	DET
fis-125	389	17	stability	stability	NOUN
fis-125	389	18	criterion	criterion	NOUN
fis-125	389	19	.	.	PUNCT
fis-125	390	1	references	reference	NOUN
fis-125	390	2	[	[	X
fis-125	390	3	1	1	NUM
fis-125	390	4	]	]	PUNCT
fis-125	390	5	benallal	benallal	NOUN
fis-125	390	6	,	,	PUNCT
fis-125	390	7	r.	r.	PROPN
fis-125	390	8	billardon	billardon	PROPN
fis-125	390	9	,	,	PUNCT
fis-125	390	10	g.	g.	PROPN
fis-125	390	11	geymonat	geymonat	PROPN
fis-125	390	12	,	,	PUNCT
fis-125	390	13	in	in	ADP
fis-125	390	14	:	:	PUNCT
fis-125	390	15	c.s.i.m	c.s.i.m	PROPN
fis-125	390	16	lecture	lecture	NOUN
fis-125	390	17	notes	note	VERB
fis-125	390	18	on	on	ADP
fis-125	390	19	bifurcation	bifurcation	NOUN
fis-125	390	20	and	and	CCONJ
fis-125	390	21	stability	stability	NOUN
fis-125	390	22	of	of	ADP
fis-125	390	23	dissipative	dissipative	ADJ
fis-125	390	24	systems	system	NOUN
fis-125	390	25	,	,	PUNCT
fis-125	390	26	q.s	q.s	PROPN
fis-125	390	27	.	.	PROPN
fis-125	390	28	nguyen	nguyen	PROPN
fis-125	390	29	,	,	PUNCT
fis-125	390	30	editor	editor	NOUN
fis-125	390	31	,	,	PUNCT
fis-125	390	32	springer	springer	NOUN
fis-125	390	33	-	-	PUNCT
fis-125	390	34	verlag	verlag	PROPN
fis-125	390	35	,	,	PUNCT
fis-125	390	36	(	(	PUNCT
fis-125	390	37	1993	1993	NUM
fis-125	390	38	)	)	PUNCT
fis-125	390	39	.	.	PUNCT
fis-125	391	1	[	[	X
fis-125	391	2	2	2	NUM
fis-125	391	3	]	]	PUNCT
fis-125	391	4	benallal	benallal	NOUN
fis-125	391	5	,	,	PUNCT
fis-125	391	6	j.-j	j.-j	PROPN
fis-125	391	7	.	.	PUNCT
fis-125	391	8	marigo	marigo	PROPN
fis-125	391	9	,	,	PUNCT
fis-125	391	10	modelling	model	VERB
fis-125	391	11	simul	simul	PROPN
fis-125	391	12	.	.	PUNCT
fis-125	392	1	mater	mater	PROPN
fis-125	392	2	.	.	PUNCT
fis-125	393	1	sci	sci	PROPN
fis-125	393	2	.	.	PUNCT
fis-125	394	1	eng	eng	PROPN
fis-125	394	2	.	.	PROPN
fis-125	394	3	,	,	PUNCT
fis-125	394	4	15	15	NUM
fis-125	394	5	(	(	PUNCT
fis-125	394	6	2007	2007	NUM
fis-125	394	7	)	)	PUNCT
fis-125	394	8	283	283	NUM
fis-125	394	9	.	.	PUNCT
fis-125	395	1	[	[	X
fis-125	395	2	3	3	X
fis-125	395	3	]	]	SYM
fis-125	395	4	bourdin	bourdin	NOUN
fis-125	395	5	,	,	PUNCT
fis-125	395	6	g.a	g.a	PROPN
fis-125	395	7	.	.	PROPN
fis-125	395	8	francfort	francfort	PROPN
fis-125	395	9	,	,	PUNCT
fis-125	395	10	j.-j	j.-j	PROPN
fis-125	395	11	.	.	PUNCT
fis-125	395	12	marigo	marigo	PROPN
fis-125	395	13	,	,	PUNCT
fis-125	395	14	j.	j.	PROPN
fis-125	395	15	elasticity	elasticity	PROPN
fis-125	395	16	,	,	PUNCT
fis-125	395	17	91	91	NUM
fis-125	395	18	(	(	PUNCT
fis-125	395	19	2008	2008	NUM
fis-125	395	20	)	)	PUNCT
fis-125	395	21	5	5	NUM
fis-125	395	22	.	.	PUNCT
fis-125	396	1	[	[	X
fis-125	396	2	4	4	NUM
fis-125	396	3	]	]	X
fis-125	396	4	g.a	g.a	PROPN
fis-125	396	5	.	.	PROPN
fis-125	396	6	francfort	francfort	PROPN
fis-125	396	7	,	,	PUNCT
fis-125	396	8	j.-j	j.-j	PROPN
fis-125	396	9	.	.	PUNCT
fis-125	397	1	marigo	marigo	PROPN
fis-125	397	2	,	,	PUNCT
fis-125	397	3	eur	eur	PROPN
fis-125	397	4	.	.	PUNCT
fis-125	398	1	j.	j.	PROPN
fis-125	398	2	mech	mech	PROPN
fis-125	398	3	.	.	PUNCT
fis-125	399	1	a	a	DET
fis-125	399	2	/	/	SYM
fis-125	399	3	solids	solid	NOUN
fis-125	399	4	,	,	PUNCT
fis-125	399	5	12	12	NUM
fis-125	399	6	(	(	PUNCT
fis-125	399	7	1993	1993	NUM
fis-125	399	8	)	)	PUNCT
fis-125	399	9	149	149	NUM
fis-125	399	10	.	.	PUNCT
fis-125	400	1	[	[	X
fis-125	400	2	5	5	NUM
fis-125	400	3	]	]	X
fis-125	400	4	lasry	lasry	PROPN
fis-125	400	5	,	,	PUNCT
fis-125	400	6	belytschko	belytschko	PROPN
fis-125	400	7	,	,	PUNCT
fis-125	400	8	int	int	PROPN
fis-125	400	9	.	.	PUNCT
fis-125	401	1	j.	j.	PROPN
fis-125	401	2	solids	solids	PROPN
fis-125	401	3	structures	structure	NOUN
fis-125	401	4	,	,	PUNCT
fis-125	401	5	24	24	NUM
fis-125	401	6	(	(	PUNCT
fis-125	401	7	1988	1988	NUM
fis-125	401	8	)	)	PUNCT
fis-125	401	9	581	581	NUM
fis-125	401	10	.	.	PUNCT
fis-125	402	1	[	[	X
fis-125	402	2	6	6	NUM
fis-125	402	3	]	]	X
fis-125	402	4	lorentz	lorentz	PROPN
fis-125	402	5	,	,	PUNCT
fis-125	402	6	s.	s.	PROPN
fis-125	402	7	andrieux	andrieux	PROPN
fis-125	402	8	,	,	PUNCT
fis-125	402	9	int	int	PROPN
fis-125	402	10	.	.	PUNCT
fis-125	403	1	j.	j.	PROPN
fis-125	403	2	solids	solids	PROPN
fis-125	403	3	struct	struct	NOUN
fis-125	403	4	.	.	PUNCT
fis-125	403	5	,	,	PUNCT
fis-125	403	6	40	40	NUM
fis-125	403	7	(	(	PUNCT
fis-125	403	8	2003	2003	NUM
fis-125	403	9	)	)	PUNCT
fis-125	403	10	2905	2905	NUM
fis-125	403	11	.	.	PUNCT
fis-125	404	1	[	[	X
fis-125	404	2	7	7	X
fis-125	404	3	]	]	X
fis-125	404	4	j.-j	j.-j	PROPN
fis-125	404	5	.	.	PUNCT
fis-125	404	6	marigo	marigo	PROPN
fis-125	404	7	,	,	PUNCT
fis-125	404	8	nuclear	nuclear	ADJ
fis-125	404	9	engineering	engineering	NOUN
fis-125	404	10	and	and	CCONJ
fis-125	404	11	design	design	NOUN
fis-125	404	12	,	,	PUNCT
fis-125	404	13	114	114	NUM
fis-125	404	14	(	(	PUNCT
fis-125	404	15	1989	1989	NUM
fis-125	404	16	)	)	PUNCT
fis-125	404	17	249	249	NUM
fis-125	404	18	.	.	PUNCT
fis-125	405	1	[	[	X
fis-125	405	2	8	8	NUM
fis-125	405	3	]	]	X
fis-125	405	4	j.-j	j.-j	PROPN
fis-125	405	5	.	.	PUNCT
fis-125	406	1	marigo	marigo	PROPN
fis-125	406	2	,	,	PUNCT
fis-125	406	3	in	in	ADP
fis-125	406	4	:	:	PUNCT
fis-125	406	5	continuum	continuum	ADJ
fis-125	406	6	thermodynamics	thermodynamic	NOUN
fis-125	406	7	:	:	PUNCT
fis-125	406	8	the	the	DET
fis-125	406	9	art	art	NOUN
fis-125	406	10	and	and	CCONJ
fis-125	406	11	science	science	NOUN
fis-125	406	12	of	of	ADP
fis-125	406	13	modelling	model	VERB
fis-125	406	14	material	material	NOUN
fis-125	406	15	behaviour	behaviour	NOUN
fis-125	406	16	,	,	PUNCT
fis-125	406	17	volume	volume	NOUN
fis-125	406	18	76	76	NUM
fis-125	406	19	of	of	ADP
fis-125	406	20	solids	solid	NOUN
fis-125	406	21	mechanics	mechanic	NOUN
fis-125	406	22	and	and	CCONJ
fis-125	406	23	its	its	PRON
fis-125	406	24	applications	application	NOUN
fis-125	406	25	:	:	PUNCT
fis-125	406	26	paul	paul	PROPN
fis-125	406	27	germain	germain	PROPN
fis-125	406	28	's	's	PART
fis-125	406	29	anniversary	anniversary	NOUN
fis-125	406	30	,	,	PUNCT
fis-125	406	31	g.	g.	PROPN
fis-125	406	32	a.	a.	PROPN
fis-125	406	33	maugin	maugin	PROPN
fis-125	406	34	,	,	PUNCT
fis-125	406	35	r.	r.	PROPN
fis-125	406	36	drouot	drouot	PROPN
fis-125	406	37	,	,	PUNCT
fis-125	406	38	and	and	CCONJ
fis-125	406	39	f.	f.	PROPN
fis-125	406	40	sidoroff	sidoroff	PROPN
fis-125	406	41	,	,	PUNCT
fis-125	406	42	editors	editor	NOUN
fis-125	406	43	,	,	PUNCT
fis-125	406	44	kluwer	kluwer	NOUN
fis-125	406	45	acad	acad	PROPN
fis-125	406	46	.	.	PUNCT
fis-125	407	1	publ	publ	PROPN
fis-125	407	2	.	.	PUNCT
fis-125	407	3	,	,	PUNCT
fis-125	407	4	(	(	PUNCT
fis-125	407	5	2000	2000	NUM
fis-125	407	6	)	)	PUNCT
fis-125	407	7	.	.	PUNCT
fis-125	408	1	[	[	X
fis-125	408	2	9	9	NUM
fis-125	408	3	]	]	PUNCT
fis-125	408	4	q.	q.	PROPN
fis-125	408	5	s.	s.	PROPN
fis-125	408	6	nguyen	nguyen	PROPN
fis-125	408	7	,	,	PUNCT
fis-125	408	8	stability	stability	NOUN
fis-125	408	9	and	and	CCONJ
fis-125	408	10	nonlinear	nonlinear	ADJ
fis-125	408	11	solid	solid	ADJ
fis-125	408	12	mechanics	mechanic	NOUN
fis-125	408	13	,	,	PUNCT
fis-125	408	14	wiley	wiley	PROPN
fis-125	408	15	&	&	CCONJ
fis-125	408	16	son	son	PROPN
fis-125	408	17	,	,	PUNCT
fis-125	408	18	london	london	PROPN
fis-125	408	19	,	,	PUNCT
fis-125	408	20	(	(	PUNCT
fis-125	408	21	2000	2000	NUM
fis-125	408	22	)	)	PUNCT
fis-125	408	23	.	.	PUNCT
fis-125	409	1	[	[	X
fis-125	409	2	10	10	NUM
fis-125	409	3	]	]	PUNCT
fis-125	409	4	k.	k.	PROPN
fis-125	409	5	pham	pham	PROPN
fis-125	409	6	,	,	PUNCT
fis-125	409	7	j.-j	j.-j	PROPN
fis-125	409	8	.	.	PUNCT
fis-125	409	9	marigo	marigo	PROPN
fis-125	409	10	,	,	PUNCT
fis-125	409	11	comptes	compte	VERB
fis-125	409	12	rendus	rendus	PROPN
fis-125	409	13	mécanique	mécanique	PROPN
fis-125	409	14	,	,	PUNCT
fis-125	409	15	338(4	338(4	NUM
fis-125	409	16	)	)	PUNCT
fis-125	409	17	(	(	PUNCT
fis-125	409	18	2010	2010	NUM
fis-125	409	19	)	)	PUNCT
fis-125	409	20	191	191	NUM
fis-125	409	21	.	.	PUNCT
fis-125	410	1	[	[	X
fis-125	410	2	11	11	NUM
fis-125	410	3	]	]	PUNCT
fis-125	410	4	k.	k.	PROPN
fis-125	410	5	pham	pham	PROPN
fis-125	410	6	,	,	PUNCT
fis-125	410	7	j.-j	j.-j	PROPN
fis-125	410	8	.	.	PUNCT
fis-125	410	9	marigo	marigo	PROPN
fis-125	410	10	,	,	PUNCT
fis-125	410	11	comptes	compte	VERB
fis-125	410	12	rendus	rendus	PROPN
fis-125	410	13	mécanique	mécanique	PROPN
fis-125	410	14	,	,	PUNCT
fis-125	410	15	338(4	338(4	NUM
fis-125	410	16	)	)	PUNCT
fis-125	410	17	(	(	PUNCT
fis-125	410	18	2010	2010	NUM
fis-125	410	19	)	)	PUNCT
fis-125	410	20	199	199	NUM
fis-125	410	21	.	.	PUNCT
fis-125	411	1	[	[	X
fis-125	411	2	12	12	NUM
fis-125	411	3	]	]	PUNCT
fis-125	411	4	k.	k.	PROPN
fis-125	411	5	pham	pham	PROPN
fis-125	411	6	,	,	PUNCT
fis-125	411	7	j.-j	j.-j	PROPN
fis-125	411	8	.	.	PUNCT
fis-125	412	1	marigo	marigo	PROPN
fis-125	412	2	,	,	PUNCT
fis-125	412	3	c.	c.	PROPN
fis-125	412	4	maurini	maurini	PROPN
fis-125	412	5	,	,	PUNCT
fis-125	412	6	j.	j.	PROPN
fis-125	412	7	mech	mech	PROPN
fis-125	412	8	.	.	PUNCT
fis-125	413	1	phys	phy	NOUN
fis-125	413	2	.	.	PUNCT
fis-125	414	1	solids	solids	PROPN
fis-125	414	2	,	,	PUNCT
fis-125	414	3	59(6	59(6	NUM
fis-125	414	4	)	)	PUNCT
fis-125	414	5	(	(	PUNCT
fis-125	414	6	2011	2011	NUM
fis-125	414	7	)	)	PUNCT
fis-125	414	8	1163	1163	NUM
fis-125	414	9	.	.	PUNCT
fis-125	415	1	[	[	X
fis-125	415	2	13	13	NUM
fis-125	415	3	]	]	X
fis-125	415	4	g.	g.	PROPN
fis-125	415	5	pijaudier	pijaudier	PROPN
fis-125	415	6	-	-	PUNCT
fis-125	415	7	cabot	cabot	PROPN
fis-125	415	8	,	,	PUNCT
fis-125	415	9	z.	z.	PROPN
fis-125	415	10	p.	p.	PROPN
fis-125	415	11	bažant	bažant	PROPN
fis-125	415	12	,	,	PUNCT
fis-125	415	13	j.	j.	PROPN
fis-125	415	14	eng	eng	PROPN
fis-125	415	15	.	.	PROPN
fis-125	415	16	mech	mech	PROPN
fis-125	415	17	.	.	PROPN
fis-125	415	18	,	,	PUNCT
fis-125	415	19	113	113	NUM
fis-125	415	20	(	(	PUNCT
fis-125	415	21	1987	1987	NUM
fis-125	415	22	)	)	PUNCT
fis-125	415	23	1512	1512	NUM
fis-125	415	24	.	.	PUNCT
fis-125	416	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-125	416	2	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	http://dx.medra.org/10.3221/igf-esis.19.01&auth=true	PROPN