id	sid	tid	token	lemma	pos
fis-119	1	1	microsoft	microsoft	PROPN
fis-119	1	2	word	word	PROPN
fis-119	1	3	numero	numero	PROPN
fis-119	1	4	18	18	NUM
fis-119	1	5	articolo	articolo	PROPN
fis-119	1	6	1.doc	1.doc	PROPN
fis-119	1	7	g.	g.	PROPN
fis-119	1	8	del	del	PROPN
fis-119	1	9	piero	piero	PROPN
fis-119	1	10	et	et	PROPN
fis-119	1	11	alii	alii	PROPN
fis-119	1	12	,	,	PUNCT
fis-119	1	13	frattura	frattura	PROPN
fis-119	1	14	ed	ed	PROPN
fis-119	1	15	integrità	integrità	PROPN
fis-119	1	16	strutturale	strutturale	PROPN
fis-119	1	17	,	,	PUNCT
fis-119	1	18	18	18	NUM
fis-119	1	19	(	(	PUNCT
fis-119	1	20	2011	2011	NUM
fis-119	1	21	)	)	PUNCT
fis-119	1	22	5	5	NUM
fis-119	1	23	-	-	SYM
fis-119	1	24	13	13	NUM
fis-119	1	25	;	;	PUNCT
fis-119	1	26	doi	doi	NOUN
fis-119	1	27	:	:	PUNCT
fis-119	1	28	10.3221	10.3221	NUM
fis-119	1	29	/	/	SYM
fis-119	1	30	igf	igf	PROPN
fis-119	1	31	-	-	NOUN
fis-119	1	32	esis.18.01	esis.18.01	PROPN
fis-119	1	33	5	5	NUM
fis-119	1	34	the	the	DET
fis-119	1	35	variational	variational	ADJ
fis-119	1	36	theory	theory	NOUN
fis-119	1	37	of	of	ADP
fis-119	1	38	fracture	fracture	NOUN
fis-119	1	39	:	:	PUNCT
fis-119	1	40	diffuse	diffuse	VERB
fis-119	1	41	cohesive	cohesive	ADJ
fis-119	1	42	energy	energy	NOUN
fis-119	1	43	and	and	CCONJ
fis-119	1	44	elastic	elastic	ADJ
fis-119	1	45	-	-	PUNCT
fis-119	1	46	plastic	plastic	NOUN
fis-119	1	47	rupture	rupture	NOUN
fis-119	1	48	gianpietro	gianpietro	NOUN
fis-119	1	49	del	del	PROPN
fis-119	1	50	piero	piero	PROPN
fis-119	1	51	dipartimento	dipartimento	ADP
fis-119	1	52	di	di	PROPN
fis-119	1	53	ingegneria	ingegneria	PROPN
fis-119	1	54	,	,	PUNCT
fis-119	1	55	università	università	PROPN
fis-119	1	56	di	di	PROPN
fis-119	1	57	ferrara	ferrara	PROPN
fis-119	1	58	,	,	PUNCT
fis-119	1	59	ferrara	ferrara	NOUN
fis-119	1	60	(	(	PUNCT
fis-119	1	61	italy	italy	PROPN
fis-119	1	62	)	)	PUNCT
fis-119	1	63	dlpgpt@unife.it	dlpgpt@unife.it	PROPN
fis-119	1	64	giovanni	giovanni	PROPN
fis-119	1	65	lancioni	lancioni	PROPN
fis-119	1	66	dipartimento	dipartimento	PROPN
fis-119	1	67	di	di	X
fis-119	1	68	architettura	architettura	NOUN
fis-119	1	69	,	,	PUNCT
fis-119	1	70	costruzioni	costruzioni	PROPN
fis-119	1	71	e	e	X
fis-119	1	72	strutture	strutture	PROPN
fis-119	1	73	,	,	PUNCT
fis-119	1	74	università	università	PROPN
fis-119	1	75	politecnica	politecnica	PROPN
fis-119	1	76	delle	delle	PROPN
fis-119	1	77	marche	marche	PROPN
fis-119	1	78	,	,	PUNCT
fis-119	1	79	ancona	ancona	PROPN
fis-119	1	80	(	(	PUNCT
fis-119	1	81	italy	italy	PROPN
fis-119	1	82	)	)	PUNCT
fis-119	1	83	riccardo	riccardo	PROPN
fis-119	1	84	march	march	PROPN
fis-119	1	85	istituto	istituto	X
fis-119	1	86	per	per	X
fis-119	1	87	le	le	X
fis-119	1	88	applicazioni	applicazioni	PROPN
fis-119	1	89	del	del	PROPN
fis-119	1	90	calcolo	calcolo	PROPN
fis-119	1	91	,	,	PUNCT
fis-119	1	92	cnr	cnr	PROPN
fis-119	1	93	,	,	PUNCT
fis-119	1	94	roma	roma	PROPN
fis-119	1	95	(	(	PUNCT
fis-119	1	96	italy	italy	PROPN
fis-119	1	97	)	)	PUNCT
fis-119	1	98	abstract	abstract	NOUN
fis-119	1	99	.	.	PUNCT
fis-119	2	1	this	this	DET
fis-119	2	2	communication	communication	NOUN
fis-119	2	3	anticipates	anticipate	VERB
fis-119	2	4	some	some	DET
fis-119	2	5	results	result	NOUN
fis-119	2	6	of	of	ADP
fis-119	2	7	a	a	DET
fis-119	2	8	work	work	NOUN
fis-119	2	9	in	in	ADP
fis-119	2	10	progress	progress	NOUN
fis-119	2	11	[	[	X
fis-119	2	12	1	1	NUM
fis-119	2	13	]	]	PUNCT
fis-119	2	14	,	,	PUNCT
fis-119	2	15	addressed	address	VERB
fis-119	2	16	to	to	PART
fis-119	2	17	explore	explore	VERB
fis-119	2	18	the	the	DET
fis-119	2	19	efficiency	efficiency	NOUN
fis-119	2	20	of	of	ADP
fis-119	2	21	the	the	DET
fis-119	2	22	diffuse	diffuse	NOUN
fis-119	2	23	cohesive	cohesive	ADJ
fis-119	2	24	energy	energy	NOUN
fis-119	2	25	model	model	NOUN
fis-119	2	26	for	for	ADP
fis-119	2	27	describing	describe	VERB
fis-119	2	28	the	the	DET
fis-119	2	29	phenomena	phenomenon	NOUN
fis-119	2	30	of	of	ADP
fis-119	2	31	fracture	fracture	NOUN
fis-119	2	32	and	and	CCONJ
fis-119	2	33	yielding	yield	VERB
fis-119	2	34	.	.	PUNCT
fis-119	3	1	a	a	DET
fis-119	3	2	first	first	ADJ
fis-119	3	3	local	local	ADJ
fis-119	3	4	model	model	NOUN
fis-119	3	5	is	be	AUX
fis-119	3	6	partially	partially	ADV
fis-119	3	7	successful	successful	ADJ
fis-119	3	8	,	,	PUNCT
fis-119	3	9	but	but	CCONJ
fis-119	3	10	fails	fail	VERB
fis-119	3	11	to	to	PART
fis-119	3	12	reproduce	reproduce	VERB
fis-119	3	13	the	the	DET
fis-119	3	14	strain	strain	NOUN
fis-119	3	15	softening	soften	VERB
fis-119	3	16	regime	regime	NOUN
fis-119	3	17	.	.	PUNCT
fis-119	4	1	a	a	DET
fis-119	4	2	more	more	ADV
fis-119	4	3	robust	robust	ADJ
fis-119	4	4	non	non	ADJ
fis-119	4	5	-	-	ADJ
fis-119	4	6	local	local	ADJ
fis-119	4	7	model	model	NOUN
fis-119	4	8	,	,	PUNCT
fis-119	4	9	obtained	obtain	VERB
fis-119	4	10	by	by	ADP
fis-119	4	11	adding	add	VERB
fis-119	4	12	an	an	DET
fis-119	4	13	energy	energy	NOUN
fis-119	4	14	term	term	NOUN
fis-119	4	15	depending	depend	VERB
fis-119	4	16	on	on	ADP
fis-119	4	17	the	the	DET
fis-119	4	18	deformation	deformation	NOUN
fis-119	4	19	gradient	gradient	NOUN
fis-119	4	20	,	,	PUNCT
fis-119	4	21	describes	describe	VERB
fis-119	4	22	many	many	ADJ
fis-119	4	23	typical	typical	ADJ
fis-119	4	24	features	feature	NOUN
fis-119	4	25	of	of	ADP
fis-119	4	26	the	the	DET
fis-119	4	27	inelastic	inelastic	ADJ
fis-119	4	28	response	response	NOUN
fis-119	4	29	observed	observe	VERB
fis-119	4	30	in	in	ADP
fis-119	4	31	experiments	experiment	NOUN
fis-119	4	32	,	,	PUNCT
fis-119	4	33	including	include	VERB
fis-119	4	34	strain	strain	NOUN
fis-119	4	35	localization	localization	NOUN
fis-119	4	36	and	and	CCONJ
fis-119	4	37	necking	neck	VERB
fis-119	4	38	.	.	PUNCT
fis-119	5	1	fracture	fracture	NOUN
fis-119	5	2	occurs	occur	VERB
fis-119	5	3	as	as	ADP
fis-119	5	4	the	the	DET
fis-119	5	5	result	result	NOUN
fis-119	5	6	of	of	ADP
fis-119	5	7	extreme	extreme	ADJ
fis-119	5	8	strain	strain	NOUN
fis-119	5	9	localization	localization	NOUN
fis-119	5	10	.	.	PUNCT
fis-119	6	1	the	the	DET
fis-119	6	2	model	model	NOUN
fis-119	6	3	predicts	predict	VERB
fis-119	6	4	different	different	ADJ
fis-119	6	5	fracture	fracture	NOUN
fis-119	6	6	modes	mode	NOUN
fis-119	6	7	,	,	PUNCT
fis-119	6	8	brittle	brittle	ADJ
fis-119	6	9	and	and	CCONJ
fis-119	6	10	ductile	ductile	VERB
fis-119	6	11	,	,	PUNCT
fis-119	6	12	depending	depend	VERB
fis-119	6	13	on	on	ADP
fis-119	6	14	the	the	DET
fis-119	6	15	analytical	analytical	ADJ
fis-119	6	16	form	form	NOUN
fis-119	6	17	of	of	ADP
fis-119	6	18	the	the	DET
fis-119	6	19	cohesive	cohesive	ADJ
fis-119	6	20	energy	energy	NOUN
fis-119	6	21	function	function	NOUN
fis-119	6	22	.	.	PUNCT
fis-119	7	1	sommario	sommario	PROPN
fis-119	7	2	.	.	PUNCT
fis-119	8	1	nella	nella	PROPN
fis-119	8	2	presente	presente	PROPN
fis-119	8	3	comunicazione	comunicazione	PROPN
fis-119	8	4	si	si	PROPN
fis-119	8	5	anticipano	anticipano	PROPN
fis-119	8	6	alcuni	alcuni	PROPN
fis-119	8	7	risultati	risultati	PROPN
fis-119	8	8	del	del	X
fis-119	8	9	lavoro	lavoro	X
fis-119	9	1	[	[	X
fis-119	9	2	1	1	NUM
fis-119	9	3	]	]	PUNCT
fis-119	9	4	,	,	PUNCT
fis-119	9	5	in	in	ADP
fis-119	9	6	preparazione	preparazione	NOUN
fis-119	9	7	,	,	PUNCT
fis-119	9	8	in	in	ADP
fis-119	9	9	cui	cui	NOUN
fis-119	9	10	si	si	X
fis-119	9	11	analizza	analizza	PROPN
fis-119	9	12	l’efficienza	l’efficienza	PROPN
fis-119	9	13	del	del	PROPN
fis-119	9	14	modello	modello	PROPN
fis-119	9	15	dell’energia	dell’energia	PROPN
fis-119	9	16	coesiva	coesiva	PROPN
fis-119	9	17	diffusa	diffusa	PROPN
fis-119	9	18	nel	nel	PROPN
fis-119	9	19	descrivere	descrivere	PROPN
fis-119	9	20	i	i	PROPN
fis-119	9	21	fenomeni	fenomeni	PROPN
fis-119	9	22	di	di	NOUN
fis-119	9	23	plasticizzazione	plasticizzazione	NOUN
fis-119	9	24	e	e	NOUN
fis-119	9	25	rottura	rottura	NOUN
fis-119	9	26	.	.	PUNCT
fis-119	10	1	un	un	PROPN
fis-119	10	2	primo	primo	PROPN
fis-119	10	3	modello	modello	PROPN
fis-119	10	4	locale	locale	PROPN
fis-119	10	5	dà	dà	PROPN
fis-119	10	6	risultati	risultati	PROPN
fis-119	10	7	parzialmente	parzialmente	PROPN
fis-119	10	8	soddisfacenti	soddisfacenti	PROPN
fis-119	10	9	,	,	PUNCT
fis-119	10	10	ma	ma	PROPN
fis-119	10	11	si	si	PROPN
fis-119	10	12	rivela	rivela	PROPN
fis-119	10	13	incapace	incapace	PROPN
fis-119	10	14	di	di	PROPN
fis-119	10	15	descrivere	descrivere	PROPN
fis-119	10	16	il	il	PROPN
fis-119	10	17	regime	regime	PROPN
fis-119	10	18	di	di	PROPN
fis-119	10	19	strain	strain	PROPN
fis-119	10	20	softening	soften	VERB
fis-119	10	21	.	.	PUNCT
fis-119	11	1	un	un	PROPN
fis-119	11	2	più	più	PROPN
fis-119	11	3	robusto	robusto	PROPN
fis-119	11	4	modello	modello	PROPN
fis-119	11	5	non	non	PROPN
fis-119	11	6	locale	locale	PROPN
fis-119	11	7	,	,	PUNCT
fis-119	11	8	ottenuto	ottenuto	PROPN
fis-119	11	9	aggiungendo	aggiungendo	PROPN
fis-119	11	10	un	un	PROPN
fis-119	11	11	termine	termine	PROPN
fis-119	11	12	energetico	energetico	PROPN
fis-119	11	13	dipendente	dipendente	PROPN
fis-119	11	14	dal	dal	NOUN
fis-119	11	15	gradiente	gradiente	PROPN
fis-119	11	16	della	della	NOUN
fis-119	11	17	deformazione	deformazione	NOUN
fis-119	11	18	,	,	PUNCT
fis-119	11	19	riesce	riesce	PROPN
fis-119	11	20	a	a	DET
fis-119	11	21	descrivere	descrivere	PROPN
fis-119	11	22	molte	molte	PROPN
fis-119	11	23	peculiarità	peculiarità	PROPN
fis-119	11	24	della	della	PROPN
fis-119	11	25	risposta	risposta	PROPN
fis-119	11	26	anelastica	anelastica	PROPN
fis-119	11	27	osservate	osservate	PROPN
fis-119	11	28	sperimentalmente	sperimentalmente	PROPN
fis-119	11	29	,	,	PUNCT
fis-119	11	30	incluse	incluse	NOUN
fis-119	11	31	la	la	ADJ
fis-119	11	32	localizzazione	localizzazione	NOUN
fis-119	11	33	della	della	NOUN
fis-119	11	34	deformazione	deformazione	NOUN
fis-119	11	35	e	e	AUX
fis-119	11	36	il	il	X
fis-119	11	37	necking	neck	VERB
fis-119	11	38	.	.	PUNCT
fis-119	12	1	la	la	PROPN
fis-119	12	2	frattura	frattura	PROPN
fis-119	12	3	avviene	avviene	PROPN
fis-119	12	4	per	per	ADP
fis-119	12	5	estrema	estrema	X
fis-119	12	6	localizzazione	localizzazione	NOUN
fis-119	12	7	.	.	PUNCT
fis-119	13	1	il	il	PROPN
fis-119	13	2	modello	modello	PROPN
fis-119	13	3	prevede	prevede	PROPN
fis-119	13	4	la	la	PROPN
fis-119	13	5	possibilità	possibilità	PROPN
fis-119	13	6	di	di	PROPN
fis-119	13	7	diversi	diversi	PROPN
fis-119	13	8	modi	modi	PROPN
fis-119	13	9	di	di	PROPN
fis-119	13	10	frattura	frattura	PROPN
fis-119	13	11	,	,	PUNCT
fis-119	13	12	duttile	duttile	VERB
fis-119	13	13	o	o	PROPN
fis-119	13	14	fragile	fragile	ADJ
fis-119	13	15	,	,	PUNCT
fis-119	13	16	a	a	DET
fis-119	13	17	seconda	seconda	PROPN
fis-119	13	18	della	della	PROPN
fis-119	13	19	forma	forma	PROPN
fis-119	13	20	analitica	analitica	PROPN
fis-119	13	21	ipotizzata	ipotizzata	VERB
fis-119	13	22	per	per	ADP
fis-119	13	23	l’energia	l’energia	PROPN
fis-119	13	24	coesiva	coesiva	NOUN
fis-119	13	25	.	.	PUNCT
fis-119	14	1	keywords	keyword	NOUN
fis-119	14	2	.	.	PUNCT
fis-119	15	1	fracture	fracture	NOUN
fis-119	15	2	mechanics	mechanic	NOUN
fis-119	15	3	;	;	PUNCT
fis-119	15	4	energy	energy	NOUN
fis-119	15	5	methods	method	NOUN
fis-119	15	6	;	;	PUNCT
fis-119	15	7	elastic	elastic	ADJ
fis-119	15	8	-	-	PUNCT
fis-119	15	9	plastic	plastic	NOUN
fis-119	15	10	rupture	rupture	NOUN
fis-119	15	11	;	;	PUNCT
fis-119	15	12	variational	variational	ADJ
fis-119	15	13	theory	theory	NOUN
fis-119	15	14	of	of	ADP
fis-119	15	15	fracture	fracture	NOUN
fis-119	15	16	.	.	PUNCT
fis-119	16	1	introduction	introduction	NOUN
fis-119	16	2	leading	lead	VERB
fis-119	16	3	idea	idea	NOUN
fis-119	16	4	in	in	ADP
fis-119	16	5	fracture	fracture	NOUN
fis-119	16	6	mechanics	mechanic	NOUN
fis-119	16	7	is	be	AUX
fis-119	16	8	that	that	SCONJ
fis-119	16	9	the	the	DET
fis-119	16	10	growth	growth	NOUN
fis-119	16	11	of	of	ADP
fis-119	16	12	a	a	DET
fis-119	16	13	fracture	fracture	NOUN
fis-119	16	14	surface	surface	NOUN
fis-119	16	15	is	be	AUX
fis-119	16	16	decided	decide	VERB
fis-119	16	17	by	by	ADP
fis-119	16	18	the	the	DET
fis-119	16	19	competition	competition	NOUN
fis-119	16	20	between	between	ADP
fis-119	16	21	the	the	DET
fis-119	16	22	strain	strain	NOUN
fis-119	16	23	energy	energy	NOUN
fis-119	16	24	lost	lose	VERB
fis-119	16	25	in	in	ADP
fis-119	16	26	,	,	PUNCT
fis-119	16	27	and	and	CCONJ
fis-119	16	28	the	the	DET
fis-119	16	29	amount	amount	NOUN
fis-119	16	30	of	of	ADP
fis-119	16	31	fracture	fracture	NOUN
fis-119	16	32	energy	energy	NOUN
fis-119	16	33	required	require	VERB
fis-119	16	34	to	to	ADP
fis-119	16	35	,	,	PUNCT
fis-119	16	36	the	the	DET
fis-119	16	37	creation	creation	NOUN
fis-119	16	38	of	of	ADP
fis-119	16	39	a	a	DET
fis-119	16	40	new	new	ADJ
fis-119	16	41	fracture	fracture	NOUN
fis-119	16	42	surface	surface	NOUN
fis-119	17	1	[	[	X
fis-119	17	2	2	2	NUM
fis-119	17	3	]	]	PUNCT
fis-119	17	4	.	.	PUNCT
fis-119	18	1	however	however	ADV
fis-119	18	2	,	,	PUNCT
fis-119	18	3	it	it	PRON
fis-119	18	4	was	be	AUX
fis-119	18	5	soon	soon	ADV
fis-119	18	6	clear	clear	ADJ
fis-119	18	7	that	that	SCONJ
fis-119	18	8	this	this	DET
fis-119	18	9	idea	idea	NOUN
fis-119	18	10	is	be	AUX
fis-119	18	11	appropriate	appropriate	ADJ
fis-119	18	12	to	to	ADP
fis-119	18	13	the	the	DET
fis-119	18	14	description	description	NOUN
fis-119	18	15	of	of	ADP
fis-119	18	16	brittle	brittle	ADJ
fis-119	18	17	fracture	fracture	NOUN
fis-119	18	18	,	,	PUNCT
fis-119	18	19	typically	typically	ADV
fis-119	18	20	exhibited	exhibit	VERB
fis-119	18	21	in	in	ADP
fis-119	18	22	large	large	ADJ
fis-119	18	23	-	-	PUNCT
fis-119	18	24	size	size	NOUN
fis-119	18	25	bodies	body	NOUN
fis-119	18	26	,	,	PUNCT
fis-119	18	27	but	but	CCONJ
fis-119	18	28	is	be	AUX
fis-119	18	29	unfit	unfit	ADJ
fis-119	18	30	to	to	PART
fis-119	18	31	describe	describe	VERB
fis-119	18	32	the	the	DET
fis-119	18	33	ductile	ductile	NOUN
fis-119	18	34	fracture	fracture	NOUN
fis-119	18	35	modes	mode	NOUN
fis-119	18	36	which	which	PRON
fis-119	18	37	prevail	prevail	VERB
fis-119	18	38	in	in	ADP
fis-119	18	39	small	small	ADJ
fis-119	18	40	-	-	PUNCT
fis-119	18	41	size	size	NOUN
fis-119	18	42	bodies	body	NOUN
fis-119	18	43	.	.	PUNCT
fis-119	19	1	this	this	DET
fis-119	19	2	size	size	NOUN
fis-119	19	3	effect	effect	NOUN
fis-119	19	4	is	be	AUX
fis-119	19	5	captured	capture	VERB
fis-119	19	6	by	by	ADP
fis-119	19	7	the	the	DET
fis-119	19	8	cohesive	cohesive	ADJ
fis-119	19	9	energy	energy	NOUN
fis-119	19	10	models	model	NOUN
fis-119	19	11	[	[	X
fis-119	19	12	3	3	NUM
fis-119	19	13	,	,	PUNCT
fis-119	19	14	4	4	NUM
fis-119	19	15	]	]	PUNCT
fis-119	19	16	.	.	PUNCT
fis-119	20	1	a	a	DET
fis-119	20	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	NOUN
fis-119	20	3	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	20	4	g.	g.	PROPN
fis-119	20	5	del	del	PROPN
fis-119	20	6	piero	piero	PROPN
fis-119	20	7	et	et	PROPN
fis-119	20	8	alii	alii	PROPN
fis-119	20	9	,	,	PUNCT
fis-119	20	10	frattura	frattura	PROPN
fis-119	20	11	ed	ed	PROPN
fis-119	20	12	integrità	integrità	PROPN
fis-119	20	13	strutturale	strutturale	PROPN
fis-119	20	14	,	,	PUNCT
fis-119	20	15	18	18	NUM
fis-119	20	16	(	(	PUNCT
fis-119	20	17	2011	2011	NUM
fis-119	20	18	)	)	PUNCT
fis-119	20	19	5	5	NUM
fis-119	20	20	-	-	SYM
fis-119	20	21	13	13	NUM
fis-119	20	22	;	;	PUNCT
fis-119	20	23	doi	doi	NOUN
fis-119	20	24	:	:	PUNCT
fis-119	20	25	10.3221	10.3221	NUM
fis-119	20	26	/	/	SYM
fis-119	20	27	igf	igf	PROPN
fis-119	20	28	-	-	NOUN
fis-119	20	29	esis.18.01	esis.18.01	PROPN
fis-119	20	30	6	6	NUM
fis-119	20	31	other	other	ADJ
fis-119	20	32	basic	basic	ADJ
fis-119	20	33	problems	problem	NOUN
fis-119	20	34	,	,	PUNCT
fis-119	20	35	such	such	ADJ
fis-119	20	36	as	as	ADP
fis-119	20	37	the	the	DET
fis-119	20	38	formation	formation	NOUN
fis-119	20	39	of	of	ADP
fis-119	20	40	a	a	DET
fis-119	20	41	fracture	fracture	NOUN
fis-119	20	42	in	in	ADP
fis-119	20	43	an	an	DET
fis-119	20	44	initially	initially	ADV
fis-119	20	45	unfractured	unfracture	VERB
fis-119	20	46	body	body	NOUN
fis-119	20	47	,	,	PUNCT
fis-119	20	48	were	be	AUX
fis-119	20	49	neglected	neglect	VERB
fis-119	20	50	for	for	ADP
fis-119	20	51	long	long	ADJ
fis-119	20	52	time	time	NOUN
fis-119	20	53	,	,	PUNCT
fis-119	20	54	and	and	CCONJ
fis-119	20	55	ony	ony	PROPN
fis-119	20	56	recently	recently	ADV
fis-119	20	57	came	come	VERB
fis-119	20	58	to	to	ADP
fis-119	20	59	the	the	DET
fis-119	20	60	attention	attention	NOUN
fis-119	20	61	of	of	ADP
fis-119	20	62	the	the	DET
fis-119	20	63	scientific	scientific	ADJ
fis-119	20	64	community	community	NOUN
fis-119	20	65	.	.	PUNCT
fis-119	21	1	the	the	DET
fis-119	21	2	use	use	NOUN
fis-119	21	3	of	of	ADP
fis-119	21	4	variational	variational	ADJ
fis-119	21	5	techniques	technique	NOUN
fis-119	21	6	for	for	ADP
fis-119	21	7	energy	energy	NOUN
fis-119	21	8	minimization	minimization	NOUN
fis-119	21	9	was	be	AUX
fis-119	21	10	introduced	introduce	VERB
fis-119	21	11	first	first	ADV
fis-119	21	12	for	for	ADP
fis-119	21	13	griffith	griffith	PROPN
fis-119	21	14	’s	’s	PART
fis-119	21	15	fracture	fracture	PROPN
fis-119	21	16	model	model	NOUN
fis-119	21	17	[	[	X
fis-119	21	18	5	5	NUM
fis-119	21	19	]	]	PUNCT
fis-119	21	20	,	,	PUNCT
fis-119	21	21	and	and	CCONJ
fis-119	21	22	extended	extend	VERB
fis-119	21	23	later	later	ADV
fis-119	21	24	to	to	PART
fis-119	21	25	cohesive	cohesive	VERB
fis-119	21	26	energy	energy	NOUN
fis-119	21	27	models	model	NOUN
fis-119	21	28	[	[	X
fis-119	21	29	6	6	NUM
fis-119	21	30	,	,	PUNCT
fis-119	21	31	7	7	NUM
fis-119	21	32	]	]	PUNCT
fis-119	21	33	.	.	PUNCT
fis-119	22	1	from	from	ADP
fis-119	22	2	the	the	DET
fis-119	22	3	engineering	engineering	NOUN
fis-119	22	4	side	side	NOUN
fis-119	22	5	,	,	PUNCT
fis-119	22	6	it	it	PRON
fis-119	22	7	became	become	VERB
fis-119	22	8	clear	clear	ADJ
fis-119	22	9	that	that	SCONJ
fis-119	22	10	an	an	DET
fis-119	22	11	appropriate	appropriate	ADJ
fis-119	22	12	choice	choice	NOUN
fis-119	22	13	of	of	ADP
fis-119	22	14	the	the	DET
fis-119	22	15	analytic	analytic	ADJ
fis-119	22	16	form	form	NOUN
fis-119	22	17	of	of	ADP
fis-119	22	18	the	the	DET
fis-119	22	19	cohesive	cohesive	ADJ
fis-119	22	20	energy	energy	NOUN
fis-119	22	21	may	may	AUX
fis-119	22	22	lead	lead	VERB
fis-119	22	23	to	to	ADP
fis-119	22	24	a	a	DET
fis-119	22	25	unified	unified	ADJ
fis-119	22	26	description	description	NOUN
fis-119	22	27	of	of	ADP
fis-119	22	28	the	the	DET
fis-119	22	29	phenomena	phenomenon	NOUN
fis-119	22	30	of	of	ADP
fis-119	22	31	yielding	yield	VERB
fis-119	22	32	,	,	PUNCT
fis-119	22	33	damage	damage	NOUN
fis-119	22	34	,	,	PUNCT
fis-119	22	35	and	and	CCONJ
fis-119	22	36	fracture	fracture	NOUN
fis-119	22	37	[	[	X
fis-119	22	38	8	8	NUM
fis-119	22	39	,	,	PUNCT
fis-119	22	40	9	9	NUM
fis-119	22	41	]	]	PUNCT
fis-119	22	42	.	.	PUNCT
fis-119	23	1	a	a	DET
fis-119	23	2	very	very	ADV
fis-119	23	3	recent	recent	ADJ
fis-119	23	4	research	research	NOUN
fis-119	23	5	trend	trend	NOUN
fis-119	23	6	consists	consist	VERB
fis-119	23	7	in	in	ADP
fis-119	23	8	questioning	question	VERB
fis-119	23	9	the	the	DET
fis-119	23	10	surfacic	surfacic	ADJ
fis-119	23	11	character	character	NOUN
fis-119	23	12	of	of	ADP
fis-119	23	13	the	the	DET
fis-119	23	14	fracture	fracture	NOUN
fis-119	23	15	energy	energy	NOUN
fis-119	23	16	,	,	PUNCT
fis-119	23	17	and	and	CCONJ
fis-119	23	18	in	in	ADP
fis-119	23	19	exploring	explore	VERB
fis-119	23	20	the	the	DET
fis-119	23	21	alternative	alternative	ADJ
fis-119	23	22	possibility	possibility	NOUN
fis-119	23	23	of	of	ADP
fis-119	23	24	an	an	DET
fis-119	23	25	energy	energy	NOUN
fis-119	23	26	diffused	diffuse	VERB
fis-119	23	27	over	over	ADP
fis-119	23	28	the	the	DET
fis-119	23	29	volume	volume	NOUN
fis-119	23	30	.	.	PUNCT
fis-119	24	1	an	an	DET
fis-119	24	2	example	example	NOUN
fis-119	24	3	is	be	AUX
fis-119	24	4	the	the	DET
fis-119	24	5	paper	paper	NOUN
fis-119	25	1	[	[	X
fis-119	25	2	10	10	NUM
fis-119	25	3	]	]	PUNCT
fis-119	25	4	,	,	PUNCT
fis-119	25	5	in	in	ADP
fis-119	25	6	which	which	PRON
fis-119	25	7	,	,	PUNCT
fis-119	25	8	in	in	ADP
fis-119	25	9	the	the	DET
fis-119	25	10	context	context	NOUN
fis-119	25	11	of	of	ADP
fis-119	25	12	a	a	DET
fis-119	25	13	damage	damage	NOUN
fis-119	25	14	model	model	NOUN
fis-119	25	15	,	,	PUNCT
fis-119	25	16	a	a	DET
fis-119	25	17	rather	rather	ADV
fis-119	25	18	detailed	detailed	ADJ
fis-119	25	19	description	description	NOUN
fis-119	25	20	of	of	ADP
fis-119	25	21	the	the	DET
fis-119	25	22	process	process	NOUN
fis-119	25	23	zone	zone	NOUN
fis-119	25	24	preceding	precede	VERB
fis-119	25	25	the	the	DET
fis-119	25	26	final	final	ADJ
fis-119	25	27	rupture	rupture	NOUN
fis-119	25	28	is	be	AUX
fis-119	25	29	obtained	obtain	VERB
fis-119	25	30	.	.	PUNCT
fis-119	26	1	in	in	ADP
fis-119	26	2	this	this	DET
fis-119	26	3	communication	communication	NOUN
fis-119	26	4	a	a	DET
fis-119	26	5	diffuse	diffuse	ADJ
fis-119	26	6	cohesive	cohesive	ADJ
fis-119	26	7	energy	energy	NOUN
fis-119	26	8	is	be	AUX
fis-119	26	9	considered	consider	VERB
fis-119	26	10	,	,	PUNCT
fis-119	26	11	and	and	CCONJ
fis-119	26	12	fracture	fracture	NOUN
fis-119	26	13	is	be	AUX
fis-119	26	14	regarded	regard	VERB
fis-119	26	15	as	as	ADP
fis-119	26	16	the	the	DET
fis-119	26	17	extreme	extreme	ADJ
fis-119	26	18	stage	stage	NOUN
fis-119	26	19	of	of	ADP
fis-119	26	20	the	the	DET
fis-119	26	21	localization	localization	NOUN
fis-119	26	22	of	of	ADP
fis-119	26	23	inelastic	inelastic	ADJ
fis-119	26	24	deformation	deformation	NOUN
fis-119	26	25	.	.	PUNCT
fis-119	27	1	in	in	ADP
fis-119	27	2	a	a	DET
fis-119	27	3	one	one	NUM
fis-119	27	4	-	-	PUNCT
fis-119	27	5	dimensional	dimensional	ADJ
fis-119	27	6	context	context	NOUN
fis-119	27	7	,	,	PUNCT
fis-119	27	8	we	we	PRON
fis-119	27	9	assume	assume	VERB
fis-119	27	10	that	that	SCONJ
fis-119	27	11	at	at	ADP
fis-119	27	12	every	every	DET
fis-119	27	13	point	point	NOUN
fis-119	27	14	of	of	ADP
fis-119	27	15	the	the	DET
fis-119	27	16	bar	bar	NOUN
fis-119	27	17	the	the	DET
fis-119	27	18	energy	energy	NOUN
fis-119	27	19	density	density	NOUN
fis-119	27	20	is	be	AUX
fis-119	27	21	the	the	DET
fis-119	27	22	sum	sum	NOUN
fis-119	27	23	of	of	ADP
fis-119	27	24	an	an	DET
fis-119	27	25	elastic	elastic	ADJ
fis-119	27	26	and	and	CCONJ
fis-119	27	27	a	a	DET
fis-119	27	28	cohesive	cohesive	ADJ
fis-119	27	29	part	part	NOUN
fis-119	27	30	.	.	PUNCT
fis-119	28	1	an	an	DET
fis-119	28	2	incremental	incremental	ADJ
fis-119	28	3	energy	energy	NOUN
fis-119	28	4	minimization	minimization	NOUN
fis-119	28	5	is	be	AUX
fis-119	28	6	performed	perform	VERB
fis-119	28	7	,	,	PUNCT
fis-119	28	8	under	under	ADP
fis-119	28	9	the	the	DET
fis-119	28	10	only	only	ADJ
fis-119	28	11	assumption	assumption	NOUN
fis-119	28	12	that	that	SCONJ
fis-119	28	13	the	the	DET
fis-119	28	14	cohesive	cohesive	ADJ
fis-119	28	15	energy	energy	NOUN
fis-119	28	16	is	be	AUX
fis-119	28	17	totally	totally	ADV
fis-119	28	18	dissipative	dissipative	ADJ
fis-119	28	19	.	.	PUNCT
fis-119	29	1	with	with	ADP
fis-119	29	2	this	this	DET
fis-119	29	3	simple	simple	ADJ
fis-119	29	4	model	model	NOUN
fis-119	29	5	,	,	PUNCT
fis-119	29	6	a	a	DET
fis-119	29	7	rather	rather	ADV
fis-119	29	8	accurate	accurate	ADJ
fis-119	29	9	description	description	NOUN
fis-119	29	10	of	of	ADP
fis-119	29	11	the	the	DET
fis-119	29	12	inelastic	inelastic	ADJ
fis-119	29	13	response	response	NOUN
fis-119	29	14	of	of	ADP
fis-119	29	15	the	the	DET
fis-119	29	16	bar	bar	NOUN
fis-119	29	17	,	,	PUNCT
fis-119	29	18	from	from	ADP
fis-119	29	19	the	the	DET
fis-119	29	20	onset	onset	NOUN
fis-119	29	21	of	of	ADP
fis-119	29	22	the	the	DET
fis-119	29	23	inelastic	inelastic	ADJ
fis-119	29	24	regime	regime	NOUN
fis-119	29	25	up	up	ADP
fis-119	29	26	to	to	ADP
fis-119	29	27	rupture	rupture	NOUN
fis-119	29	28	,	,	PUNCT
fis-119	29	29	is	be	AUX
fis-119	29	30	obtained	obtain	VERB
fis-119	29	31	.	.	PUNCT
fis-119	30	1	the	the	DET
fis-119	30	2	strain	strain	NOUN
fis-119	30	3	-	-	PUNCT
fis-119	30	4	softening	soften	VERB
fis-119	30	5	case	case	NOUN
fis-119	30	6	is	be	AUX
fis-119	30	7	not	not	PART
fis-119	30	8	adequately	adequately	ADV
fis-119	30	9	described	describe	VERB
fis-119	30	10	,	,	PUNCT
fis-119	30	11	but	but	CCONJ
fis-119	30	12	this	this	DET
fis-119	30	13	inconvenience	inconvenience	NOUN
fis-119	30	14	is	be	AUX
fis-119	30	15	repaired	repair	VERB
fis-119	30	16	with	with	ADP
fis-119	30	17	the	the	DET
fis-119	30	18	introduction	introduction	NOUN
fis-119	30	19	of	of	ADP
fis-119	30	20	a	a	DET
fis-119	30	21	non	non	ADJ
fis-119	30	22	-	-	ADJ
fis-119	30	23	local	local	ADJ
fis-119	30	24	energy	energy	NOUN
fis-119	30	25	term	term	NOUN
fis-119	30	26	of	of	ADP
fis-119	30	27	the	the	DET
fis-119	30	28	gradient	gradient	NOUN
fis-119	30	29	type	type	NOUN
fis-119	30	30	.	.	PUNCT
fis-119	31	1	the	the	DET
fis-119	31	2	traditional	traditional	ADJ
fis-119	31	3	elements	element	NOUN
fis-119	31	4	of	of	ADP
fis-119	31	5	elastic	elastic	ADJ
fis-119	31	6	-	-	PUNCT
fis-119	31	7	plastic	plastic	NOUN
fis-119	31	8	response	response	NOUN
fis-119	31	9	,	,	PUNCT
fis-119	31	10	such	such	ADJ
fis-119	31	11	as	as	ADP
fis-119	31	12	the	the	DET
fis-119	31	13	yield	yield	NOUN
fis-119	31	14	condition	condition	NOUN
fis-119	31	15	,	,	PUNCT
fis-119	31	16	the	the	DET
fis-119	31	17	flow	flow	NOUN
fis-119	31	18	law	law	NOUN
fis-119	31	19	,	,	PUNCT
fis-119	31	20	the	the	DET
fis-119	31	21	hardening	harden	VERB
fis-119	31	22	law	law	NOUN
fis-119	31	23	,	,	PUNCT
fis-119	31	24	the	the	DET
fis-119	31	25	elastic	elastic	ADJ
fis-119	31	26	unloading	unloading	NOUN
fis-119	31	27	,	,	PUNCT
fis-119	31	28	come	come	VERB
fis-119	31	29	out	out	ADP
fis-119	31	30	of	of	ADP
fis-119	31	31	the	the	DET
fis-119	31	32	model	model	NOUN
fis-119	31	33	as	as	ADP
fis-119	31	34	necessary	necessary	ADJ
fis-119	31	35	conditions	condition	NOUN
fis-119	31	36	for	for	ADP
fis-119	31	37	an	an	DET
fis-119	31	38	energy	energy	NOUN
fis-119	31	39	minimum	minimum	NOUN
fis-119	31	40	.	.	PUNCT
fis-119	32	1	we	we	PRON
fis-119	32	2	also	also	ADV
fis-119	32	3	find	find	VERB
fis-119	32	4	that	that	SCONJ
fis-119	32	5	a	a	DET
fis-119	32	6	convex	convex	ADJ
fis-119	32	7	shape	shape	NOUN
fis-119	32	8	of	of	ADP
fis-119	32	9	the	the	DET
fis-119	32	10	cohesive	cohesive	ADJ
fis-119	32	11	energy	energy	NOUN
fis-119	32	12	favorizes	favorize	VERB
fis-119	32	13	a	a	DET
fis-119	32	14	uniform	uniform	ADJ
fis-119	32	15	distribution	distribution	NOUN
fis-119	32	16	of	of	ADP
fis-119	32	17	inelastic	inelastic	ADJ
fis-119	32	18	strain	strain	NOUN
fis-119	32	19	and	and	CCONJ
fis-119	32	20	a	a	DET
fis-119	32	21	work	work	NOUN
fis-119	32	22	-	-	PUNCT
fis-119	32	23	hardening	harden	VERB
fis-119	32	24	response	response	NOUN
fis-119	32	25	,	,	PUNCT
fis-119	32	26	while	while	SCONJ
fis-119	32	27	a	a	DET
fis-119	32	28	concave	concave	NOUN
fis-119	32	29	shape	shape	NOUN
fis-119	32	30	is	be	AUX
fis-119	32	31	responsible	responsible	ADJ
fis-119	32	32	of	of	ADP
fis-119	32	33	the	the	DET
fis-119	32	34	localization	localization	NOUN
fis-119	32	35	of	of	ADP
fis-119	32	36	the	the	DET
fis-119	32	37	inelastic	inelastic	ADJ
fis-119	32	38	strain	strain	NOUN
fis-119	32	39	,	,	PUNCT
fis-119	32	40	which	which	PRON
fis-119	32	41	,	,	PUNCT
fis-119	32	42	in	in	ADP
fis-119	32	43	turn	turn	NOUN
fis-119	32	44	,	,	PUNCT
fis-119	32	45	produces	produce	VERB
fis-119	32	46	the	the	DET
fis-119	32	47	phenomena	phenomenon	NOUN
fis-119	32	48	of	of	ADP
fis-119	32	49	strain	strain	NOUN
fis-119	32	50	softening	soften	VERB
fis-119	32	51	and	and	CCONJ
fis-119	32	52	necking	neck	VERB
fis-119	32	53	.	.	PUNCT
fis-119	33	1	rupture	rupture	NOUN
fis-119	33	2	takes	take	VERB
fis-119	33	3	place	place	NOUN
fis-119	33	4	when	when	SCONJ
fis-119	33	5	the	the	DET
fis-119	33	6	localization	localization	NOUN
fis-119	33	7	becomes	become	VERB
fis-119	33	8	extreme	extreme	ADJ
fis-119	33	9	.	.	PUNCT
fis-119	34	1	if	if	SCONJ
fis-119	34	2	the	the	DET
fis-119	34	3	cohesive	cohesive	ADJ
fis-119	34	4	energy	energy	NOUN
fis-119	34	5	is	be	AUX
fis-119	34	6	approximated	approximate	VERB
fis-119	34	7	by	by	ADP
fis-119	34	8	a	a	DET
fis-119	34	9	piecewise	piecewise	NOUN
fis-119	34	10	polynomial	polynomial	ADJ
fis-119	34	11	function	function	NOUN
fis-119	34	12	,	,	PUNCT
fis-119	34	13	its	its	PRON
fis-119	34	14	expression	expression	NOUN
fis-119	34	15	becomes	become	VERB
fis-119	34	16	a	a	DET
fis-119	34	17	function	function	NOUN
fis-119	34	18	of	of	ADP
fis-119	34	19	a	a	DET
fis-119	34	20	small	small	ADJ
fis-119	34	21	number	number	NOUN
fis-119	34	22	of	of	ADP
fis-119	34	23	material	material	NOUN
fis-119	34	24	parameters	parameter	NOUN
fis-119	34	25	.	.	PUNCT
fis-119	35	1	the	the	DET
fis-119	35	2	first	first	ADJ
fis-119	35	3	results	result	NOUN
fis-119	35	4	of	of	ADP
fis-119	35	5	a	a	DET
fis-119	35	6	series	series	NOUN
fis-119	35	7	of	of	ADP
fis-119	35	8	numerical	numerical	ADJ
fis-119	35	9	simulations	simulation	NOUN
fis-119	35	10	show	show	VERB
fis-119	35	11	that	that	SCONJ
fis-119	35	12	an	an	DET
fis-119	35	13	appropriate	appropriate	ADJ
fis-119	35	14	choice	choice	NOUN
fis-119	35	15	of	of	ADP
fis-119	35	16	these	these	DET
fis-119	35	17	parameters	parameter	NOUN
fis-119	35	18	provides	provide	VERB
fis-119	35	19	a	a	DET
fis-119	35	20	good	good	ADJ
fis-119	35	21	approximation	approximation	NOUN
fis-119	35	22	of	of	ADP
fis-119	35	23	the	the	DET
fis-119	35	24	experimental	experimental	ADJ
fis-119	35	25	response	response	NOUN
fis-119	35	26	curves	curve	NOUN
fis-119	35	27	.	.	PUNCT
fis-119	36	1	this	this	PRON
fis-119	36	2	seems	seem	VERB
fis-119	36	3	to	to	PART
fis-119	36	4	confirm	confirm	VERB
fis-119	36	5	the	the	DET
fis-119	36	6	efficiency	efficiency	NOUN
fis-119	36	7	and	and	CCONJ
fis-119	36	8	flexibility	flexibility	NOUN
fis-119	36	9	of	of	ADP
fis-119	36	10	the	the	DET
fis-119	36	11	proposed	propose	VERB
fis-119	36	12	model	model	NOUN
fis-119	36	13	.	.	PUNCT
fis-119	37	1	the	the	DET
fis-119	37	2	local	local	ADJ
fis-119	37	3	model	model	NOUN
fis-119	37	4	onsider	onsider	PROPN
fis-119	37	5	a	a	DET
fis-119	37	6	bar	bar	NOUN
fis-119	37	7	of	of	ADP
fis-119	37	8	length	length	NOUN
fis-119	37	9	l	l	NOUN
fis-119	37	10	,	,	PUNCT
fis-119	37	11	with	with	ADP
fis-119	37	12	constant	constant	ADJ
fis-119	37	13	cross	cross	NOUN
fis-119	37	14	section	section	NOUN
fis-119	37	15	,	,	PUNCT
fis-119	37	16	free	free	ADJ
fis-119	37	17	of	of	ADP
fis-119	37	18	external	external	ADJ
fis-119	37	19	loads	load	NOUN
fis-119	37	20	,	,	PUNCT
fis-119	37	21	and	and	CCONJ
fis-119	37	22	subject	subject	ADJ
fis-119	37	23	to	to	ADP
fis-119	37	24	the	the	DET
fis-119	37	25	axial	axial	ADJ
fis-119	37	26	displacements	displacement	NOUN
fis-119	37	27	u(0	u(0	NOUN
fis-119	37	28	)	)	PUNCT
fis-119	37	29	=	=	SYM
fis-119	37	30	0	0	NUM
fis-119	37	31	,	,	PUNCT
fis-119	37	32	u(l	u(l	NOUN
fis-119	37	33	)	)	PUNCT
fis-119	37	34	=	=	SYM
fis-119	37	35	l	l	X
fis-119	37	36	,	,	PUNCT
fis-119	37	37	(	(	PUNCT
fis-119	37	38	1	1	X
fis-119	37	39	)	)	PUNCT
fis-119	37	40	at	at	ADP
fis-119	37	41	the	the	DET
fis-119	37	42	endpoints	endpoint	NOUN
fis-119	37	43	x	x	PUNCT
fis-119	38	1			NOUN
fis-119	38	2	0	0	PUNCT
fis-119	39	1	and	and	CCONJ
fis-119	39	2	x	x	SYM
fis-119	40	1			NOUN
fis-119	40	2	l.	l.	NOUN
fis-119	40	3	the	the	DET
fis-119	40	4	bar	bar	NOUN
fis-119	40	5	’s	’s	PART
fis-119	40	6	deformation	deformation	NOUN
fis-119	40	7	is	be	AUX
fis-119	40	8	measured	measure	VERB
fis-119	40	9	by	by	ADP
fis-119	40	10	the	the	DET
fis-119	40	11	derivative	derivative	ADJ
fis-119	40	12	u	u	NOUN
fis-119	40	13	of	of	ADP
fis-119	40	14	the	the	DET
fis-119	40	15	axial	axial	ADJ
fis-119	40	16	displacement	displacement	NOUN
fis-119	40	17	u.	u.	NOUN
fis-119	41	1	we	we	PRON
fis-119	41	2	assume	assume	VERB
fis-119	41	3	that	that	SCONJ
fis-119	41	4	,	,	PUNCT
fis-119	41	5	at	at	ADP
fis-119	41	6	every	every	DET
fis-119	41	7	point	point	NOUN
fis-119	41	8	x	x	PUNCT
fis-119	41	9	of	of	ADP
fis-119	41	10	the	the	DET
fis-119	41	11	bar	bar	NOUN
fis-119	41	12	’s	’s	PART
fis-119	41	13	axis	axis	NOUN
fis-119	41	14	,	,	PUNCT
fis-119	41	15	the	the	DET
fis-119	41	16	deformation	deformation	NOUN
fis-119	41	17	u	u	NOUN
fis-119	41	18			PROPN
fis-119	41	19	(	(	PUNCT
fis-119	41	20	x	x	X
fis-119	41	21	)	)	PUNCT
fis-119	41	22	can	can	AUX
fis-119	41	23	be	be	AUX
fis-119	41	24	split	split	VERB
fis-119	41	25	into	into	ADP
fis-119	41	26	the	the	DET
fis-119	41	27	sum	sum	NOUN
fis-119	41	28	of	of	ADP
fis-119	41	29	an	an	DET
fis-119	41	30	elastic	elastic	ADJ
fis-119	41	31	part	part	NOUN
fis-119	41	32	(x	(x	PROPN
fis-119	41	33	)	)	PUNCT
fis-119	41	34	and	and	CCONJ
fis-119	41	35	of	of	ADP
fis-119	41	36	an	an	DET
fis-119	41	37	inelastic	inelastic	ADJ
fis-119	41	38	part	part	NOUN
fis-119	41	39	(x	(x	PUNCT
fis-119	41	40	):	):	PUNCT
fis-119	41	41	u	u	PRON
fis-119	41	42			PROPN
fis-119	41	43	(	(	PUNCT
fis-119	41	44	x	x	X
fis-119	41	45	)	)	PUNCT
fis-119	41	46	=	=	SYM
fis-119	41	47	(x	(x	PROPN
fis-119	41	48	)	)	PUNCT
fis-119	41	49	+	+	NUM
fis-119	41	50	(x	(x	NUM
fis-119	41	51	)	)	PUNCT
fis-119	41	52	,	,	PUNCT
fis-119	41	53	(	(	PUNCT
fis-119	41	54	2	2	X
fis-119	41	55	)	)	PUNCT
fis-119	41	56	and	and	CCONJ
fis-119	41	57	that	that	SCONJ
fis-119	41	58	the	the	DET
fis-119	41	59	total	total	ADJ
fis-119	41	60	energy	energy	NOUN
fis-119	41	61	of	of	ADP
fis-119	41	62	the	the	DET
fis-119	41	63	bar	bar	NOUN
fis-119	41	64	has	have	VERB
fis-119	41	65	the	the	DET
fis-119	41	66	form	form	NOUN
fis-119	41	67			PUNCT
fis-119	41	68			PROPN
fis-119	41	69	l	l	NOUN
fis-119	41	70	dxxxwe	dxxxwe	PROPN
fis-119	41	71	0	0	NUM
fis-119	41	72	)	)	PUNCT
fis-119	41	73	)	)	PUNCT
fis-119	41	74	)	)	PUNCT
fis-119	41	75	(	(	PUNCT
fis-119	41	76	(	(	PUNCT
fis-119	41	77	)	)	PUNCT
fis-119	41	78	)	)	PUNCT
fis-119	41	79	(	(	PUNCT
fis-119	41	80	(	(	PUNCT
fis-119	41	81	(	(	PUNCT
fis-119	41	82	)	)	PUNCT
fis-119	41	83	,	,	PUNCT
fis-119	41	84	(	(	PUNCT
fis-119	41	85			NOUN
fis-119	41	86	(	(	PUNCT
fis-119	41	87	3	3	NUM
fis-119	41	88	)	)	PUNCT
fis-119	41	89	where	where	SCONJ
fis-119	41	90	w	w	NOUN
fis-119	41	91	and	and	CCONJ
fis-119	41	92			NOUN
fis-119	41	93	are	be	AUX
fis-119	41	94	the	the	DET
fis-119	41	95	volume	volume	NOUN
fis-119	41	96	densities	density	NOUN
fis-119	41	97	of	of	ADP
fis-119	41	98	the	the	DET
fis-119	41	99	elastic	elastic	ADJ
fis-119	41	100	strain	strain	NOUN
fis-119	41	101	energy	energy	NOUN
fis-119	41	102	and	and	CCONJ
fis-119	41	103	of	of	ADP
fis-119	41	104	the	the	DET
fis-119	41	105	cohesive	cohesive	ADJ
fis-119	41	106	energy	energy	NOUN
fis-119	41	107	,	,	PUNCT
fis-119	41	108	respectively	respectively	ADV
fis-119	41	109	.	.	PUNCT
fis-119	42	1	we	we	PRON
fis-119	42	2	also	also	ADV
fis-119	42	3	assume	assume	VERB
fis-119	42	4	that	that	SCONJ
fis-119	42	5	w	w	NOUN
fis-119	42	6	can	can	AUX
fis-119	42	7	be	be	AUX
fis-119	42	8	recovered	recover	VERB
fis-119	42	9	,	,	PUNCT
fis-119	42	10	while	while	SCONJ
fis-119	42	11			VERB
fis-119	42	12	is	be	AUX
fis-119	42	13	totally	totally	ADV
fis-119	42	14	dissipated	dissipate	VERB
fis-119	42	15	.	.	PUNCT
fis-119	43	1	the	the	DET
fis-119	43	2	last	last	ADJ
fis-119	43	3	assumption	assumption	NOUN
fis-119	43	4	requires	require	VERB
fis-119	43	5	that	that	SCONJ
fis-119	43	6	the	the	DET
fis-119	43	7	cohesive	cohesive	ADJ
fis-119	43	8	power	power	NOUN
fis-119	43	9	((x	((x	PROPN
fis-119	43	10	,	,	PUNCT
fis-119	43	11	t	t	PROPN
fis-119	43	12	)	)	PUNCT
fis-119	43	13	)	)	PUNCT
fis-119	43	14	)	)	PUNCT
fis-119	43	15	,	,	PUNCT
fis-119	43	16	(	(	PUNCT
fis-119	43	17	tx	tx	PART
fis-119	43	18	be	be	AUX
fis-119	43	19	non	non	ADJ
fis-119	43	20	-	-	ADJ
fis-119	43	21	negative	negative	ADJ
fis-119	43	22	for	for	ADP
fis-119	43	23	all	all	DET
fis-119	43	24	x	x	X
fis-119	43	25	and	and	CCONJ
fis-119	43	26	at	at	ADP
fis-119	43	27	all	all	PRON
fis-119	43	28	instants	instant	NOUN
fis-119	43	29	t	t	PROPN
fis-119	43	30	,	,	PUNCT
fis-119	43	31	and	and	CCONJ
fis-119	43	32	if	if	SCONJ
fis-119	43	33	we	we	PRON
fis-119	43	34	assume	assume	VERB
fis-119	43	35	that	that	SCONJ
fis-119	43	36			PROPN
fis-119	43	37	is	be	AUX
fis-119	43	38	an	an	DET
fis-119	43	39	increasing	increase	VERB
fis-119	43	40	function	function	NOUN
fis-119	43	41	of	of	ADP
fis-119	43	42			NOUN
fis-119	43	43	we	we	PRON
fis-119	43	44	get	get	VERB
fis-119	43	45	the	the	DET
fis-119	43	46	dissipation	dissipation	NOUN
fis-119	43	47	inequality	inequality	NOUN
fis-119	43	48	0	0	NUM
fis-119	43	49	)	)	PUNCT
fis-119	43	50	,	,	PUNCT
fis-119	43	51	(	(	PUNCT
fis-119	43	52	tx	tx	ADP
fis-119	43	53	(	(	PUNCT
fis-119	43	54	4	4	NUM
fis-119	43	55	)	)	PUNCT
fis-119	43	56	to	to	PART
fis-119	43	57	be	be	AUX
fis-119	43	58	satisfied	satisfied	ADJ
fis-119	43	59	for	for	ADP
fis-119	43	60	all	all	DET
fis-119	43	61	x	x	X
fis-119	43	62	and	and	CCONJ
fis-119	43	63	at	at	ADV
fis-119	43	64	all	all	PRON
fis-119	43	65	t.	t.	NOUN
fis-119	43	66	in	in	ADP
fis-119	43	67	the	the	DET
fis-119	43	68	spirit	spirit	NOUN
fis-119	43	69	of	of	ADP
fis-119	43	70	the	the	DET
fis-119	43	71	calculus	calculus	NOUN
fis-119	43	72	of	of	ADP
fis-119	43	73	variations	variation	NOUN
fis-119	43	74	,	,	PUNCT
fis-119	43	75	the	the	DET
fis-119	43	76	equilibrium	equilibrium	NOUN
fis-119	43	77	configurations	configuration	NOUN
fis-119	43	78	of	of	ADP
fis-119	43	79	the	the	DET
fis-119	43	80	bar	bar	NOUN
fis-119	43	81	are	be	AUX
fis-119	43	82	identified	identify	VERB
fis-119	43	83	with	with	ADP
fis-119	43	84	the	the	DET
fis-119	43	85	stationary	stationary	ADJ
fis-119	43	86	points	point	NOUN
fis-119	43	87	of	of	ADP
fis-119	43	88	the	the	DET
fis-119	43	89	energy	energy	NOUN
fis-119	43	90	0	0	NUM
fis-119	43	91	)	)	PUNCT
fis-119	43	92	)	)	PUNCT
fis-119	43	93	(	(	PUNCT
fis-119	43	94	)	)	PUNCT
fis-119	43	95	)	)	PUNCT
fis-119	43	96	(	(	PUNCT
fis-119	43	97	(	(	PUNCT
fis-119	43	98	'	'	NUM
fis-119	43	99	)	)	PUNCT
fis-119	43	100	(	(	PUNCT
fis-119	43	101	)	)	PUNCT
fis-119	43	102	)	)	PUNCT
fis-119	43	103	(	(	PUNCT
fis-119	43	104	(	(	PUNCT
fis-119	43	105	'	'	PUNCT
fis-119	43	106	(	(	PUNCT
fis-119	43	107	)	)	PUNCT
fis-119	43	108	,	,	PUNCT
fis-119	43	109	,	,	PUNCT
fis-119	43	110	,	,	PUNCT
fis-119	43	111	(	(	PUNCT
fis-119	43	112	0	0	NUM
fis-119	43	113			PROPN
fis-119	43	114			PUNCT
fis-119	43	115	dxxxxxwe	dxxxxxwe	PROPN
fis-119	43	116	l	l	PROPN
fis-119	43	117			NUM
fis-119	43	118	(	(	PUNCT
fis-119	43	119	5	5	NUM
fis-119	43	120	)	)	PUNCT
fis-119	43	121	c	c	NOUN
fis-119	43	122	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	43	123	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	43	124	g.	g.	PROPN
fis-119	43	125	del	del	PROPN
fis-119	43	126	piero	piero	PROPN
fis-119	43	127	et	et	PROPN
fis-119	43	128	alii	alii	PROPN
fis-119	43	129	,	,	PUNCT
fis-119	43	130	frattura	frattura	PROPN
fis-119	43	131	ed	ed	PROPN
fis-119	43	132	integrità	integrità	PROPN
fis-119	43	133	strutturale	strutturale	PROPN
fis-119	43	134	,	,	PUNCT
fis-119	43	135	18	18	NUM
fis-119	43	136	(	(	PUNCT
fis-119	43	137	2011	2011	NUM
fis-119	43	138	)	)	PUNCT
fis-119	43	139	5	5	NUM
fis-119	43	140	-	-	SYM
fis-119	43	141	13	13	NUM
fis-119	43	142	;	;	PUNCT
fis-119	43	143	doi	doi	NOUN
fis-119	43	144	:	:	PUNCT
fis-119	43	145	10.3221	10.3221	NUM
fis-119	43	146	/	/	SYM
fis-119	43	147	igf	igf	PROPN
fis-119	43	148	-	-	NOUN
fis-119	43	149	esis.18.01	esis.18.01	PROPN
fis-119	43	150	7	7	NUM
fis-119	43	151	with	with	ADP
fis-119	43	152	the	the	DET
fis-119	43	153	inequality	inequality	NOUN
fis-119	43	154	due	due	ADP
fis-119	43	155	to	to	ADP
fis-119	43	156	the	the	DET
fis-119	43	157	presence	presence	NOUN
fis-119	43	158	of	of	ADP
fis-119	43	159	the	the	DET
fis-119	43	160	dissipation	dissipation	NOUN
fis-119	43	161	inequality	inequality	NOUN
fis-119	43	162	(	(	PUNCT
fis-119	43	163	4	4	NUM
fis-119	43	164	)	)	PUNCT
fis-119	43	165	,	,	PUNCT
fis-119	43	166	which	which	PRON
fis-119	43	167	requires	require	VERB
fis-119	43	168	the	the	DET
fis-119	43	169	restriction	restriction	NOUN
fis-119	43	170			PROPN
fis-119	43	171	(x	(x	PRON
fis-119	43	172	)	)	PUNCT
fis-119	43	173			NUM
fis-119	43	174	0	0	NUM
fis-119	43	175	(	(	PUNCT
fis-119	43	176	6	6	NUM
fis-119	43	177	)	)	PUNCT
fis-119	43	178	on	on	ADP
fis-119	43	179	the	the	DET
fis-119	43	180	perturbations	perturbation	NOUN
fis-119	43	181	.	.	PROPN
fis-119	43	182	the	the	DET
fis-119	43	183	analysis	analysis	NOUN
fis-119	43	184	of	of	ADP
fis-119	43	185	the	the	DET
fis-119	43	186	first	first	ADJ
fis-119	43	187	variation	variation	NOUN
fis-119	43	188	leads	lead	VERB
fis-119	43	189	to	to	ADP
fis-119	43	190	the	the	DET
fis-119	43	191	following	follow	VERB
fis-119	43	192	characterization	characterization	NOUN
fis-119	43	193	of	of	ADP
fis-119	43	194	the	the	DET
fis-119	43	195	equilibrium	equilibrium	NOUN
fis-119	43	196	configurations	configuration	NOUN
fis-119	44	1	[	[	X
fis-119	44	2	dlm	dlm	X
fis-119	44	3	]	]	X
fis-119	44	4	:	:	PUNCT
fis-119	44	5			X
fis-119	44	6	the	the	DET
fis-119	44	7	elastic	elastic	ADJ
fis-119	44	8	deformation	deformation	NOUN
fis-119	44	9	(x	(x	PROPN
fis-119	44	10	)	)	PUNCT
fis-119	44	11	and	and	CCONJ
fis-119	44	12	the	the	DET
fis-119	44	13	axial	axial	ADJ
fis-119	44	14	force	force	NOUN
fis-119	44	15			PUNCT
fis-119	44	16			NOUN
fis-119	44	17	=	=	PUNCT
fis-119	44	18	w	w	PROPN
fis-119	44	19			PROPN
fis-119	44	20	(	(	PUNCT
fis-119	44	21	(x	(x	PROPN
fis-119	44	22	)	)	PUNCT
fis-119	44	23	)	)	PUNCT
fis-119	44	24	(	(	PUNCT
fis-119	44	25	7	7	X
fis-119	44	26	)	)	PUNCT
fis-119	44	27	are	be	AUX
fis-119	44	28	constant	constant	ADJ
fis-119	44	29	all	all	ADV
fis-119	44	30	over	over	ADP
fis-119	44	31	the	the	DET
fis-119	44	32	bar,	bar,	PROPN
fis-119	44	33			PROPN
fis-119	44	34	the	the	DET
fis-119	44	35	axial	axial	ADJ
fis-119	44	36	force	force	NOUN
fis-119	44	37	can	can	AUX
fis-119	44	38	not	not	PART
fis-119	44	39	exceed	exceed	VERB
fis-119	44	40	a	a	DET
fis-119	44	41	limit	limit	NOUN
fis-119	44	42	depending	depend	VERB
fis-119	44	43	on	on	ADP
fis-119	44	44	the	the	DET
fis-119	44	45	current	current	ADJ
fis-119	44	46	inelastic	inelastic	ADJ
fis-119	44	47	deformation	deformation	NOUN
fis-119	44	48	:	:	PUNCT
fis-119	44	49			NOUN
fis-119	44	50			NOUN
fis-119	44	51	((x	((x	PRON
fis-119	44	52	)	)	PUNCT
fis-119	44	53	)	)	PUNCT
fis-119	44	54	.	.	PUNCT
fis-119	45	1	(	(	PUNCT
fis-119	45	2	8)	8)	NUM
fis-119	45	3			VERB
fis-119	45	4	the	the	DET
fis-119	45	5	equilibrium	equilibrium	NOUN
fis-119	45	6	condition	condition	NOUN
fis-119	45	7	(	(	PUNCT
fis-119	45	8	8)	8)	NUM
fis-119	45	9	is	be	AUX
fis-119	45	10	in	in	ADP
fis-119	45	11	fact	fact	NOUN
fis-119	45	12	a	a	DET
fis-119	45	13	yield	yield	NOUN
fis-119	45	14	condition	condition	NOUN
fis-119	45	15	.	.	PUNCT
fis-119	46	1	it	it	PRON
fis-119	46	2	is	be	AUX
fis-119	46	3	remarkable	remarkable	ADJ
fis-119	46	4	that	that	SCONJ
fis-119	46	5	it	it	PRON
fis-119	46	6	has	have	AUX
fis-119	46	7	not	not	PART
fis-119	46	8	been	be	AUX
fis-119	46	9	postulated	postulate	VERB
fis-119	46	10	,	,	PUNCT
fis-119	46	11	but	but	CCONJ
fis-119	46	12	deduced	deduce	VERB
fis-119	46	13	from	from	ADP
fis-119	46	14	the	the	DET
fis-119	46	15	variational	variational	ADJ
fis-119	46	16	procedure	procedure	NOUN
fis-119	46	17	.	.	PUNCT
fis-119	47	1	the	the	DET
fis-119	47	2	energy	energy	NOUN
fis-119	47	3	minimization	minimization	NOUN
fis-119	47	4	is	be	AUX
fis-119	47	5	insufficient	insufficient	ADJ
fis-119	47	6	to	to	PART
fis-119	47	7	determine	determine	VERB
fis-119	47	8	the	the	DET
fis-119	47	9	evolution	evolution	NOUN
fis-119	47	10	of	of	ADP
fis-119	47	11	the	the	DET
fis-119	47	12	deformation	deformation	NOUN
fis-119	47	13	under	under	ADP
fis-119	47	14	a	a	DET
fis-119	47	15	loading	loading	NOUN
fis-119	47	16	process	process	NOUN
fis-119	47	17			NOUN
fis-119	47	18	=	=	PUNCT
fis-119	47	19	(t	(t	NOUN
fis-119	47	20	)	)	PUNCT
fis-119	47	21	.	.	PUNCT
fis-119	48	1	to	to	PART
fis-119	48	2	do	do	VERB
fis-119	48	3	this	this	PRON
fis-119	48	4	,	,	PUNCT
fis-119	48	5	it	it	PRON
fis-119	48	6	is	be	AUX
fis-119	48	7	necessary	necessary	ADJ
fis-119	48	8	to	to	PART
fis-119	48	9	formulate	formulate	VERB
fis-119	48	10	an	an	DET
fis-119	48	11	incremental	incremental	ADJ
fis-119	48	12	equilibrium	equilibrium	NOUN
fis-119	48	13	problem	problem	NOUN
fis-119	48	14	,	,	PUNCT
fis-119	48	15	in	in	ADP
fis-119	48	16	which	which	PRON
fis-119	48	17	at	at	ADP
fis-119	48	18	any	any	DET
fis-119	48	19	time	time	NOUN
fis-119	48	20	t	t	NOUN
fis-119	48	21	the	the	DET
fis-119	48	22	deformations	deformation	NOUN
fis-119	48	23	(t	(t	NOUN
fis-119	48	24	)	)	PUNCT
fis-119	48	25	and	and	CCONJ
fis-119	48	26	(x	(x	NUM
fis-119	48	27	,	,	PUNCT
fis-119	48	28	t	t	PROPN
fis-119	48	29	)	)	PUNCT
fis-119	48	30	are	be	AUX
fis-119	48	31	supposed	suppose	VERB
fis-119	48	32	to	to	PART
fis-119	48	33	be	be	AUX
fis-119	48	34	known	know	VERB
fis-119	48	35	,	,	PUNCT
fis-119	48	36	and	and	CCONJ
fis-119	48	37	the	the	DET
fis-119	48	38	unknowns	unknown	NOUN
fis-119	48	39	are	be	AUX
fis-119	48	40	the	the	DET
fis-119	48	41	deformation	deformation	NOUN
fis-119	48	42	increments	increment	NOUN
fis-119	48	43	)	)	PUNCT
fis-119	48	44	,	,	PUNCT
fis-119	48	45	(	(	PUNCT
fis-119	48	46	)	)	PUNCT
fis-119	48	47	,	,	PUNCT
fis-119	48	48	(	(	PUNCT
fis-119	48	49	txt	txt	NOUN
fis-119	48	50			NOUN
fis-119	48	51			NOUN
fis-119	48	52	,	,	PUNCT
fis-119	48	53	produced	produce	VERB
fis-119	48	54	by	by	ADP
fis-119	48	55	a	a	DET
fis-119	48	56	given	give	VERB
fis-119	48	57	load	load	NOUN
fis-119	48	58	increment	increment	NOUN
fis-119	48	59	)	)	PUNCT
fis-119	48	60	(	(	PUNCT
fis-119	48	61	t	t	X
fis-119	48	62	.	.	PUNCT
fis-119	49	1	one	one	NUM
fis-119	49	2	considers	consider	VERB
fis-119	49	3	the	the	DET
fis-119	49	4	expansion	expansion	NOUN
fis-119	49	5	)	)	PUNCT
fis-119	49	6	(	(	PUNCT
fis-119	49	7	)	)	PUNCT
fis-119	49	8	)	)	PUNCT
fis-119	49	9	(	(	PUNCT
fis-119	49	10	)	)	PUNCT
fis-119	49	11	,	,	PUNCT
fis-119	49	12	(	(	PUNCT
fis-119	49	13	(	(	PUNCT
fis-119	49	14	)	)	PUNCT
fis-119	49	15	)	)	PUNCT
fis-119	49	16	(	(	PUNCT
fis-119	49	17	)	)	PUNCT
fis-119	49	18	,	,	PUNCT
fis-119	49	19	(	(	PUNCT
fis-119	49	20	(	(	PUNCT
fis-119	49	21	)	)	PUNCT
fis-119	49	22	)	)	PUNCT
fis-119	49	23	(	(	PUNCT
fis-119	49	24	)	)	PUNCT
fis-119	49	25	,	,	PUNCT
fis-119	49	26	(	(	PUNCT
fis-119	49	27	(	(	PUNCT
fis-119	49	28	)	)	PUNCT
fis-119	49	29	)	)	PUNCT
fis-119	49	30	(	(	PUNCT
fis-119	49	31	)	)	PUNCT
fis-119	49	32	,	,	PUNCT
fis-119	49	33	(	(	PUNCT
fis-119	49	34	(	(	PUNCT
fis-119	49	35	22	22	NUM
fis-119	49	36	2	2	NUM
fis-119	49	37	1	1	NUM
fis-119	49	38			NUM
fis-119	49	39	ottettettette	ottettettette	NOUN
fis-119	49	40			NOUN
fis-119	49	41			NUM
fis-119	49	42	(	(	PUNCT
fis-119	49	43	9	9	NUM
fis-119	49	44	)	)	PUNCT
fis-119	49	45	and	and	CCONJ
fis-119	49	46	minimizes	minimize	VERB
fis-119	49	47	for	for	ADP
fis-119	49	48	sufficiently	sufficiently	ADV
fis-119	49	49	small	small	ADJ
fis-119	49	50	to	to	PART
fis-119	49	51	legitimate	legitimate	VERB
fis-119	49	52	the	the	DET
fis-119	49	53	truncation	truncation	NOUN
fis-119	49	54	at	at	ADP
fis-119	49	55	the	the	DET
fis-119	49	56	second	second	ADJ
fis-119	49	57	-	-	PUNCT
fis-119	49	58	order	order	NOUN
fis-119	49	59	term	term	NOUN
fis-119	49	60	.	.	PUNCT
fis-119	50	1	the	the	DET
fis-119	50	2	term	term	NOUN
fis-119	50	3	of	of	ADP
fis-119	50	4	order	order	NOUN
fis-119	50	5	zero	zero	PRON
fis-119	50	6	being	be	AUX
fis-119	50	7	known	know	VERB
fis-119	50	8	,	,	PUNCT
fis-119	50	9	a	a	DET
fis-119	50	10	first	first	ADJ
fis-119	50	11	-	-	PUNCT
fis-119	50	12	order	order	NOUN
fis-119	50	13	approximation	approximation	NOUN
fis-119	50	14	involves	involve	VERB
fis-119	50	15	the	the	DET
fis-119	50	16	minimization	minimization	NOUN
fis-119	50	17	of	of	ADP
fis-119	50	18	the	the	DET
fis-119	50	19	function	function	NOUN
fis-119	50	20			VERB
fis-119	50	21	dxxttxttltte	dxxttxttltte	NOUN
fis-119	50	22	l	l	PROPN
fis-119	50	23	)	)	PUNCT
fis-119	50	24	)	)	PUNCT
fis-119	50	25	(	(	PUNCT
fis-119	50	26	)	)	PUNCT
fis-119	50	27	)	)	PUNCT
fis-119	50	28	(	(	PUNCT
fis-119	50	29	)	)	PUNCT
fis-119	50	30	,	,	PUNCT
fis-119	50	31	(	(	PUNCT
fis-119	50	32	(	(	PUNCT
fis-119	50	33	'	'	PUNCT
fis-119	50	34	(	(	PUNCT
fis-119	50	35	)	)	PUNCT
fis-119	50	36	(	(	PUNCT
fis-119	50	37	)	)	PUNCT
fis-119	50	38	(	(	PUNCT
fis-119	50	39	)	)	PUNCT
fis-119	50	40	)	)	PUNCT
fis-119	50	41	(	(	PUNCT
fis-119	50	42	)	)	PUNCT
fis-119	50	43	,	,	PUNCT
fis-119	50	44	(	(	PUNCT
fis-119	50	45	(	(	PUNCT
fis-119	50	46	0	0	NUM
fis-119	50	47			PRON
fis-119	51	1			PROPN
fis-119	51	2			PROPN
fis-119	51	3	(	(	PUNCT
fis-119	51	4	10	10	NUM
fis-119	51	5	)	)	PUNCT
fis-119	51	6	in	in	ADP
fis-119	51	7	it	it	PRON
fis-119	51	8	,	,	PUNCT
fis-119	51	9	everything	everything	PRON
fis-119	51	10	is	be	AUX
fis-119	51	11	known	know	VERB
fis-119	51	12	except	except	SCONJ
fis-119	51	13	)	)	PUNCT
fis-119	52	1	(	(	PUNCT
fis-119	52	2	x	x	X
fis-119	52	3	.	.	PUNCT
fis-119	53	1	then	then	ADV
fis-119	53	2	e	e	NOUN
fis-119	53	3	is	be	AUX
fis-119	53	4	an	an	DET
fis-119	53	5	affine	affine	ADJ
fis-119	53	6	function	function	NOUN
fis-119	53	7	of	of	ADP
fis-119	53	8			NOUN
fis-119	53	9	,	,	PUNCT
fis-119	53	10	and	and	CCONJ
fis-119	53	11	a	a	DET
fis-119	53	12	proper	proper	ADJ
fis-119	53	13	use	use	NOUN
fis-119	53	14	of	of	ADP
fis-119	53	15	the	the	DET
fis-119	53	16	dissipation	dissipation	NOUN
fis-119	53	17	inequality	inequality	NOUN
fis-119	53	18	leads	lead	VERB
fis-119	53	19	to	to	ADP
fis-119	53	20	the	the	DET
fis-119	53	21	kuhn	kuhn	PROPN
fis-119	53	22	-	-	PUNCT
fis-119	53	23	tucker	tucker	PROPN
fis-119	53	24	conditions	condition	NOUN
fis-119	53	25	0	0	NUM
fis-119	53	26	)	)	PUNCT
fis-119	53	27	(	(	PUNCT
fis-119	53	28	x	x	X
fis-119	53	29	,	,	PUNCT
fis-119	53	30	0	0	NUM
fis-119	53	31	)	)	PUNCT
fis-119	53	32	)	)	PUNCT
fis-119	53	33	(	(	PUNCT
fis-119	53	34	(	(	PUNCT
fis-119	53	35	'	'	PUNCT
fis-119	53	36			PROPN
fis-119	53	37	x	x	SYM
fis-119	53	38	,	,	PUNCT
fis-119	53	39	0	0	NUM
fis-119	53	40	)	)	PUNCT
fis-119	53	41	(	(	PUNCT
fis-119	53	42	)	)	PUNCT
fis-119	53	43	)	)	PUNCT
fis-119	53	44	)	)	PUNCT
fis-119	53	45	(	(	PUNCT
fis-119	53	46	(	(	PUNCT
fis-119	53	47	'	'	PUNCT
fis-119	53	48	(	(	PUNCT
fis-119	53	49			PROPN
fis-119	53	50	xx	xx	NUM
fis-119	53	51			PROPN
fis-119	53	52			NOUN
fis-119	53	53	(	(	PUNCT
fis-119	53	54	11	11	NUM
fis-119	53	55	)	)	PUNCT
fis-119	53	56	as	as	ADP
fis-119	53	57	necessary	necessary	ADJ
fis-119	53	58	conditions	condition	NOUN
fis-119	53	59	for	for	ADP
fis-119	53	60	a	a	DET
fis-119	53	61	minimum	minimum	NOUN
fis-119	53	62	.	.	PUNCT
fis-119	54	1	the	the	DET
fis-119	54	2	first	first	ADJ
fis-119	54	3	two	two	NUM
fis-119	54	4	conditions	condition	NOUN
fis-119	54	5	are	be	AUX
fis-119	54	6	(	(	PUNCT
fis-119	54	7	4	4	NUM
fis-119	54	8	)	)	PUNCT
fis-119	54	9	and	and	CCONJ
fis-119	54	10	(	(	PUNCT
fis-119	54	11	8)	8)	NUM
fis-119	54	12	,	,	PUNCT
fis-119	54	13	respectively	respectively	ADV
fis-119	54	14	.	.	PUNCT
fis-119	55	1	the	the	DET
fis-119	55	2	third	third	ADJ
fis-119	55	3	condition	condition	NOUN
fis-119	55	4	,	,	PUNCT
fis-119	55	5	the	the	DET
fis-119	55	6	complementarity	complementarity	NOUN
fis-119	55	7	condition	condition	NOUN
fis-119	55	8	,	,	PUNCT
fis-119	55	9	states	state	VERB
fis-119	55	10	that	that	SCONJ
fis-119	55	11	when	when	SCONJ
fis-119	55	12			NOUN
fis-119	55	13	is	be	AUX
fis-119	55	14	positive	positive	ADJ
fis-119	55	15	the	the	DET
fis-119	55	16	force	force	NOUN
fis-119	55	17			NOUN
fis-119	55	18	must	must	AUX
fis-119	55	19	lie	lie	VERB
fis-119	55	20	on	on	ADP
fis-119	55	21	the	the	DET
fis-119	55	22	border	border	NOUN
fis-119	55	23	of	of	ADP
fis-119	55	24	the	the	DET
fis-119	55	25	yield	yield	NOUN
fis-119	55	26	surface	surface	NOUN
fis-119	55	27	,	,	PUNCT
fis-119	55	28	and	and	CCONJ
fis-119	55	29	that	that	SCONJ
fis-119	55	30	when	when	SCONJ
fis-119	55	31			PROPN
fis-119	55	32	lies	lie	VERB
fis-119	55	33	at	at	ADP
fis-119	55	34	the	the	DET
fis-119	55	35	interior	interior	NOUN
fis-119	55	36	of	of	ADP
fis-119	55	37	the	the	DET
fis-119	55	38	yield	yield	NOUN
fis-119	55	39	surface	surface	NOUN
fis-119	55	40	then	then	ADV
fis-119	55	41			NOUN
fis-119	55	42	must	must	AUX
fis-119	55	43	be	be	AUX
fis-119	55	44	zero	zero	NUM
fis-119	55	45	.	.	PUNCT
fis-119	56	1	again	again	ADV
fis-119	56	2	,	,	PUNCT
fis-119	56	3	it	it	PRON
fis-119	56	4	is	be	AUX
fis-119	56	5	remarkable	remarkable	ADJ
fis-119	56	6	that	that	SCONJ
fis-119	56	7	these	these	DET
fis-119	56	8	distinctive	distinctive	ADJ
fis-119	56	9	aspects	aspect	NOUN
fis-119	56	10	of	of	ADP
fis-119	56	11	plastic	plastic	ADJ
fis-119	56	12	response	response	NOUN
fis-119	56	13	have	have	AUX
fis-119	56	14	not	not	PART
fis-119	56	15	been	be	AUX
fis-119	56	16	postulated	postulate	VERB
fis-119	56	17	,	,	PUNCT
fis-119	56	18	but	but	CCONJ
fis-119	56	19	deduced	deduce	VERB
fis-119	56	20	from	from	ADP
fis-119	56	21	incremental	incremental	ADJ
fis-119	56	22	energy	energy	NOUN
fis-119	56	23	minimization	minimization	NOUN
fis-119	56	24	.	.	PUNCT
fis-119	57	1	conditions	condition	NOUN
fis-119	57	2	(	(	PUNCT
fis-119	57	3	11	11	NUM
fis-119	57	4	)	)	PUNCT
fis-119	57	5	are	be	AUX
fis-119	57	6	still	still	ADV
fis-119	57	7	insufficient	insufficient	ADJ
fis-119	57	8	to	to	PART
fis-119	57	9	determine	determine	VERB
fis-119	57	10	the	the	DET
fis-119	57	11	evolution	evolution	NOUN
fis-119	57	12	of	of	ADP
fis-119	57	13	the	the	DET
fis-119	57	14	deformation	deformation	NOUN
fis-119	57	15	.	.	PUNCT
fis-119	58	1	this	this	PRON
fis-119	58	2	is	be	AUX
fis-119	58	3	done	do	VERB
fis-119	58	4	by	by	ADP
fis-119	58	5	minimizing	minimize	VERB
fis-119	58	6	the	the	DET
fis-119	58	7	second	second	ADJ
fis-119	58	8	-	-	PUNCT
fis-119	58	9	order	order	NOUN
fis-119	58	10	term	term	NOUN
fis-119	58	11	of	of	ADP
fis-119	58	12	(	(	PUNCT
fis-119	58	13	9	9	NUM
fis-119	58	14	)	)	PUNCT
fis-119	58	15	dxxtxtxttltte	dxxtxtxttltte	NOUN
fis-119	58	16	l	l	NOUN
fis-119	58	17	)	)	PUNCT
fis-119	58	18	)	)	PUNCT
fis-119	58	19	(	(	PUNCT
fis-119	58	20	)	)	PUNCT
fis-119	58	21	(	(	PUNCT
fis-119	58	22	)	)	PUNCT
fis-119	58	23	(	(	PUNCT
fis-119	58	24	)	)	PUNCT
fis-119	58	25	)	)	PUNCT
fis-119	58	26	,	,	PUNCT
fis-119	58	27	(	(	PUNCT
fis-119	58	28	(	(	PUNCT
fis-119	58	29	''	''	PUNCT
fis-119	58	30	(	(	PUNCT
fis-119	58	31	)	)	PUNCT
fis-119	58	32	(	(	PUNCT
fis-119	58	33	)	)	PUNCT
fis-119	58	34	(	(	PUNCT
fis-119	58	35	)	)	PUNCT
fis-119	58	36	)	)	PUNCT
fis-119	58	37	(	(	PUNCT
fis-119	58	38	)	)	PUNCT
fis-119	58	39	,	,	PUNCT
fis-119	58	40	(	(	PUNCT
fis-119	58	41	(	(	PUNCT
fis-119	58	42	0	0	NOUN
fis-119	58	43			PRON
fis-119	58	44			ADP
fis-119	58	45			PROPN
fis-119	58	46	(	(	PUNCT
fis-119	58	47	12	12	NUM
fis-119	58	48	)	)	PUNCT
fis-119	58	49	which	which	PRON
fis-119	58	50	is	be	AUX
fis-119	58	51	a	a	DET
fis-119	58	52	quadratic	quadratic	ADJ
fis-119	58	53	function	function	NOUN
fis-119	58	54	of	of	ADP
fis-119	58	55			NUM
fis-119	58	56	.	.	PUNCT
fis-119	59	1	the	the	DET
fis-119	59	2	new	new	ADJ
fis-119	59	3	minimization	minimization	NOUN
fis-119	59	4	provides	provide	VERB
fis-119	59	5	a	a	DET
fis-119	59	6	second	second	ADJ
fis-119	59	7	set	set	NOUN
fis-119	59	8	of	of	ADP
fis-119	59	9	kuhn	kuhn	PROPN
fis-119	59	10	-	-	PUNCT
fis-119	59	11	tucker	tucker	PROPN
fis-119	59	12	conditions	condition	NOUN
fis-119	59	13	0	0	NUM
fis-119	59	14	)	)	PUNCT
fis-119	59	15	(	(	PUNCT
fis-119	59	16	x	x	X
fis-119	59	17	,	,	PUNCT
fis-119	59	18	0	0	NUM
fis-119	59	19	)	)	PUNCT
fis-119	59	20	(	(	PUNCT
fis-119	59	21	)	)	PUNCT
fis-119	59	22	)	)	PUNCT
fis-119	59	23	(	(	PUNCT
fis-119	59	24	(	(	PUNCT
fis-119	59	25	''	''	PUNCT
fis-119	59	26			PROPN
fis-119	59	27			NOUN
fis-119	59	28	xx	xx	NUM
fis-119	59	29	,	,	PUNCT
fis-119	59	30	0	0	NUM
fis-119	59	31	)	)	PUNCT
fis-119	59	32	(	(	PUNCT
fis-119	59	33	)	)	PUNCT
fis-119	59	34	)	)	PUNCT
fis-119	59	35	(	(	PUNCT
fis-119	59	36	)	)	PUNCT
fis-119	59	37	)	)	PUNCT
fis-119	59	38	(	(	PUNCT
fis-119	59	39	(	(	PUNCT
fis-119	59	40	''	''	PUNCT
fis-119	59	41	(	(	PUNCT
fis-119	59	42			PROPN
fis-119	59	43	xxx	xxx	PROPN
fis-119	59	44			PROPN
fis-119	59	45			NUM
fis-119	59	46	,	,	PUNCT
fis-119	59	47	x	x	X
fis-119	59	48	(	(	PUNCT
fis-119	59	49	13	13	NUM
fis-119	59	50	)	)	PUNCT
fis-119	59	51	to	to	PART
fis-119	59	52	be	be	AUX
fis-119	59	53	satisfied	satisfied	ADJ
fis-119	59	54	at	at	ADP
fis-119	59	55	the	the	DET
fis-119	59	56	portion	portion	NOUN
fis-119	59	57			NOUN
fis-119	59	58	of	of	ADP
fis-119	59	59	the	the	DET
fis-119	59	60	bar	bar	NOUN
fis-119	59	61	at	at	ADP
fis-119	59	62	which	which	PRON
fis-119	59	63	(	(	PUNCT
fis-119	59	64	8)	8)	NUM
fis-119	59	65	is	be	AUX
fis-119	59	66	satisfied	satisfied	ADJ
fis-119	59	67	as	as	ADP
fis-119	59	68	an	an	DET
fis-119	59	69	equality	equality	NOUN
fis-119	59	70	.	.	PUNCT
fis-119	60	1	indeed	indeed	ADV
fis-119	60	2	,	,	PUNCT
fis-119	60	3	we	we	PRON
fis-119	60	4	already	already	ADV
fis-119	60	5	know	know	VERB
fis-119	60	6	that	that	DET
fis-119	60	7			NUM
fis-119	60	8	=	=	NOUN
fis-119	60	9	0	0	NUM
fis-119	60	10	out	out	ADP
fis-119	60	11	of	of	ADP
fis-119	60	12	.	.	NOUN
fis-119	60	13	in	in	ADP
fis-119	60	14	(	(	PUNCT
fis-119	60	15	13	13	NUM
fis-119	60	16	)	)	PUNCT
fis-119	60	17	,	,	PUNCT
fis-119	60	18	the	the	DET
fis-119	60	19	first	first	ADJ
fis-119	60	20	condition	condition	NOUN
fis-119	60	21	is	be	AUX
fis-119	60	22	again	again	ADV
fis-119	60	23	the	the	DET
fis-119	60	24	dissipation	dissipation	NOUN
fis-119	60	25	inequality	inequality	NOUN
fis-119	60	26	(	(	PUNCT
fis-119	60	27	4	4	NUM
fis-119	60	28	)	)	PUNCT
fis-119	60	29	.	.	PUNCT
fis-119	61	1	the	the	DET
fis-119	61	2	second	second	ADJ
fis-119	61	3	condition	condition	NOUN
fis-119	61	4	provides	provide	VERB
fis-119	61	5	a	a	DET
fis-119	61	6	relation	relation	NOUN
fis-119	61	7	between	between	ADP
fis-119	61	8	the	the	DET
fis-119	61	9	increments	increment	NOUN
fis-119	61	10	of	of	ADP
fis-119	61	11	the	the	DET
fis-119	61	12	force	force	NOUN
fis-119	61	13	and	and	CCONJ
fis-119	61	14	of	of	ADP
fis-119	61	15	the	the	DET
fis-119	61	16	inelastic	inelastic	ADJ
fis-119	61	17	deformation	deformation	NOUN
fis-119	61	18	.	.	PUNCT
fis-119	62	1	by	by	ADP
fis-119	62	2	the	the	DET
fis-119	62	3	complementarity	complementarity	NOUN
fis-119	62	4	condition	condition	NOUN
fis-119	62	5	(	(	PUNCT
fis-119	62	6	13)3	13)3	NUM
fis-119	62	7	,	,	PUNCT
fis-119	62	8	inequality	inequality	NOUN
fis-119	62	9	(	(	PUNCT
fis-119	62	10	13)2	13)2	NUM
fis-119	62	11	is	be	AUX
fis-119	62	12	satisfied	satisfied	ADJ
fis-119	62	13	as	as	ADP
fis-119	62	14	an	an	DET
fis-119	62	15	equality	equality	NOUN
fis-119	62	16	when	when	SCONJ
fis-119	62	17			X
fis-119	62	18	>	>	X
fis-119	62	19	0	0	X
fis-119	62	20	.	.	PUNCT
fis-119	63	1	this	this	DET
fis-119	63	2	equality	equality	NOUN
fis-119	63	3	provides	provide	VERB
fis-119	63	4	the	the	DET
fis-119	63	5	flow	flow	NOUN
fis-119	63	6	rule	rule	NOUN
fis-119	63	7	for	for	ADP
fis-119	63	8	the	the	DET
fis-119	63	9	inelastic	inelastic	ADJ
fis-119	63	10	strain	strain	NOUN
fis-119	63	11	rate	rate	NOUN
fis-119	63	12	in	in	ADP
fis-119	63	13	the	the	DET
fis-119	63	14	regime	regime	NOUN
fis-119	63	15	of	of	ADP
fis-119	63	16	inelastic	inelastic	ADJ
fis-119	63	17	deformation	deformation	NOUN
fis-119	63	18	.	.	PUNCT
fis-119	64	1	condition	condition	NOUN
fis-119	64	2	(	(	PUNCT
fis-119	64	3	13)3	13)3	NUM
fis-119	64	4	is	be	AUX
fis-119	64	5	the	the	DET
fis-119	64	6	consistency	consistency	NOUN
fis-119	64	7	condition	condition	NOUN
fis-119	64	8	,	,	PUNCT
fis-119	64	9	which	which	PRON
fis-119	64	10	says	say	VERB
fis-119	64	11	that	that	SCONJ
fis-119	64	12	the	the	DET
fis-119	64	13	inelastic	inelastic	ADJ
fis-119	64	14	deformation	deformation	NOUN
fis-119	64	15	can	can	AUX
fis-119	64	16	not	not	PART
fis-119	64	17	increase	increase	VERB
fis-119	64	18	when	when	SCONJ
fis-119	64	19	a	a	DET
fis-119	64	20	http://www.gruppofrattura.it	http://www.gruppofrattura.it	NOUN
fis-119	64	21	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	64	22	g.	g.	PROPN
fis-119	64	23	del	del	PROPN
fis-119	64	24	piero	piero	PROPN
fis-119	64	25	et	et	PROPN
fis-119	64	26	alii	alii	PROPN
fis-119	64	27	,	,	PUNCT
fis-119	64	28	frattura	frattura	PROPN
fis-119	64	29	ed	ed	PROPN
fis-119	64	30	integrità	integrità	PROPN
fis-119	64	31	strutturale	strutturale	PROPN
fis-119	64	32	,	,	PUNCT
fis-119	64	33	18	18	NUM
fis-119	64	34	(	(	PUNCT
fis-119	64	35	2011	2011	NUM
fis-119	64	36	)	)	PUNCT
fis-119	64	37	5	5	NUM
fis-119	64	38	-	-	SYM
fis-119	64	39	13	13	NUM
fis-119	64	40	;	;	PUNCT
fis-119	64	41	doi	doi	NOUN
fis-119	64	42	:	:	PUNCT
fis-119	64	43	10.3221	10.3221	NUM
fis-119	64	44	/	/	SYM
fis-119	64	45	igf	igf	PROPN
fis-119	64	46	-	-	NOUN
fis-119	64	47	esis.18.01	esis.18.01	ADJ
fis-119	64	48	8	8	NUM
fis-119	64	49	point	point	NOUN
fis-119	64	50	x	x	PUNCT
fis-119	64	51	tends	tend	VERB
fis-119	64	52	to	to	PART
fis-119	64	53	re	re	VERB
fis-119	64	54	-	-	VERB
fis-119	64	55	enter	enter	VERB
fis-119	64	56	the	the	DET
fis-119	64	57	elastic	elastic	ADJ
fis-119	64	58	range	range	NOUN
fis-119	64	59	(	(	PUNCT
fis-119	64	60	8)	8)	NUM
fis-119	64	61	.	.	PUNCT
fis-119	65	1	this	this	DET
fis-119	65	2	condition	condition	NOUN
fis-119	65	3	determines	determine	VERB
fis-119	65	4	the	the	DET
fis-119	65	5	property	property	NOUN
fis-119	65	6	of	of	ADP
fis-119	65	7	elastic	elastic	ADJ
fis-119	65	8	unloading	unloading	NOUN
fis-119	65	9	.	.	PUNCT
fis-119	66	1	again	again	ADV
fis-119	66	2	,	,	PUNCT
fis-119	66	3	these	these	DET
fis-119	66	4	typical	typical	ADJ
fis-119	66	5	properties	property	NOUN
fis-119	66	6	of	of	ADP
fis-119	66	7	plastic	plastic	ADJ
fis-119	66	8	response	response	NOUN
fis-119	66	9	are	be	AUX
fis-119	66	10	not	not	PART
fis-119	66	11	assumed	assume	VERB
fis-119	66	12	,	,	PUNCT
fis-119	66	13	but	but	CCONJ
fis-119	66	14	come	come	VERB
fis-119	66	15	as	as	ADP
fis-119	66	16	results	result	NOUN
fis-119	66	17	of	of	ADP
fis-119	66	18	the	the	DET
fis-119	66	19	second	second	ADJ
fis-119	66	20	-	-	PUNCT
fis-119	66	21	order	order	NOUN
fis-119	66	22	incremental	incremental	ADJ
fis-119	66	23	minimization	minimization	NOUN
fis-119	66	24	.	.	PUNCT
fis-119	67	1	together	together	ADV
fis-119	67	2	with	with	ADP
fis-119	67	3	the	the	DET
fis-119	67	4	necessary	necessary	ADJ
fis-119	67	5	condition	condition	NOUN
fis-119	67	6			PROPN
fis-119	67	7	((x	((x	PROPN
fis-119	67	8	)	)	PUNCT
fis-119	67	9	)	)	PUNCT
fis-119	67	10			NUM
fis-119	67	11	0	0	NUM
fis-119	67	12	(	(	PUNCT
fis-119	67	13	14)	14)	NUM
fis-119	67	14	imposed	impose	VERB
fis-119	67	15	by	by	ADP
fis-119	67	16	the	the	DET
fis-119	67	17	non	non	ADJ
fis-119	67	18	-	-	NOUN
fis-119	67	19	negativeness	negativeness	NOUN
fis-119	67	20	of	of	ADP
fis-119	67	21	the	the	DET
fis-119	67	22	second	second	ADJ
fis-119	67	23	variation	variation	NOUN
fis-119	67	24	,	,	PUNCT
fis-119	67	25	conditions	condition	NOUN
fis-119	67	26	(	(	PUNCT
fis-119	67	27	11	11	NUM
fis-119	67	28	)	)	PUNCT
fis-119	67	29	and	and	CCONJ
fis-119	67	30	(	(	PUNCT
fis-119	67	31	13	13	NUM
fis-119	67	32	)	)	PUNCT
fis-119	67	33	determine	determine	VERB
fis-119	67	34	the	the	DET
fis-119	67	35	solution	solution	NOUN
fis-119	67	36	(	(	PUNCT
fis-119	67	37			X
fis-119	67	38	,	,	PUNCT
fis-119	67	39			NOUN
fis-119	67	40	)	)	PUNCT
fis-119	67	41	of	of	ADP
fis-119	67	42	the	the	DET
fis-119	67	43	incremental	incremental	ADJ
fis-119	67	44	problem	problem	NOUN
fis-119	67	45	.	.	PUNCT
fis-119	68	1	here	here	ADV
fis-119	68	2	we	we	PRON
fis-119	68	3	summarize	summarize	VERB
fis-119	68	4	some	some	DET
fis-119	68	5	properties	property	NOUN
fis-119	68	6	of	of	ADP
fis-119	68	7	the	the	DET
fis-119	68	8	continuations	continuation	NOUN
fis-119	68	9	.	.	PUNCT
fis-119	69	1	for	for	ADP
fis-119	69	2	a	a	DET
fis-119	69	3	more	more	ADV
fis-119	69	4	detailed	detailed	ADJ
fis-119	69	5	analysis	analysis	NOUN
fis-119	69	6	we	we	PRON
fis-119	69	7	refer	refer	VERB
fis-119	69	8	to	to	ADP
fis-119	69	9	the	the	DET
fis-119	69	10	main	main	ADJ
fis-119	69	11	paper	paper	NOUN
fis-119	69	12	[	[	X
fis-119	69	13	1	1	NUM
fis-119	69	14	]	]	PUNCT
fis-119	69	15	.	.	PUNCT
fis-119	70	1			X
fis-119	70	2	if	if	SCONJ
fis-119	70	3	at	at	ADP
fis-119	70	4	the	the	DET
fis-119	70	5	time	time	NOUN
fis-119	70	6	t	t	NOUN
fis-119	70	7	=	=	SYM
fis-119	70	8	0	0	NUM
fis-119	70	9	we	we	PRON
fis-119	70	10	start	start	VERB
fis-119	70	11	with	with	ADP
fis-119	70	12	(0)=0	(0)=0	NOUN
fis-119	70	13	from	from	ADP
fis-119	70	14	the	the	DET
fis-119	70	15	natural	natural	ADJ
fis-119	70	16	configuration	configuration	NOUN
fis-119	70	17	(x	(x	PROPN
fis-119	70	18	)	)	PUNCT
fis-119	70	19	=	=	SYM
fis-119	70	20	(x	(x	PUNCT
fis-119	70	21	)	)	PUNCT
fis-119	70	22	=	=	SYM
fis-119	71	1	0	0	NUM
fis-119	71	2	,	,	PUNCT
fis-119	71	3	from	from	ADP
fis-119	71	4	the	the	DET
fis-119	71	5	constitutive	constitutive	ADJ
fis-119	71	6	assumption	assumption	NOUN
fis-119	71	7	(0	(0	PROPN
fis-119	71	8	)	)	PUNCT
fis-119	71	9	>	>	X
fis-119	71	10	0	0	PUNCT
fis-119	72	1	we	we	PRON
fis-119	72	2	have	have	VERB
fis-119	72	3	that	that	PRON
fis-119	72	4	,	,	PUNCT
fis-119	72	5	initially	initially	ADV
fis-119	72	6	,	,	PUNCT
fis-119	72	7	inequality	inequality	NOUN
fis-119	72	8	(	(	PUNCT
fis-119	72	9	8)	8)	NUM
fis-119	72	10	is	be	AUX
fis-119	72	11	strict	strict	ADJ
fis-119	72	12	.	.	PUNCT
fis-119	73	1	then	then	ADV
fis-119	73	2			NOUN
fis-119	73	3	is	be	AUX
fis-119	73	4	zero	zero	NUM
fis-119	73	5	,	,	PUNCT
fis-119	73	6	and	and	CCONJ
fis-119	73	7	a	a	DET
fis-119	73	8	purely	purely	ADV
fis-119	73	9	elastic	elastic	ADJ
fis-119	73	10	evolution	evolution	NOUN
fis-119	73	11	occurs	occur	VERB
fis-119	73	12	.	.	PUNCT
fis-119	74	1	this	this	DET
fis-119	74	2	elastic	elastic	ADJ
fis-119	74	3	regime	regime	NOUN
fis-119	74	4	ends	end	VERB
fis-119	74	5	when	when	SCONJ
fis-119	74	6	,	,	PUNCT
fis-119	74	7	with	with	ADP
fis-119	74	8	growing	grow	VERB
fis-119	74	9			NOUN
fis-119	74	10	,	,	PUNCT
fis-119	74	11	the	the	DET
fis-119	74	12	force	force	NOUN
fis-119	74	13			PROPN
fis-119	74	14	reaches	reach	VERB
fis-119	74	15	the	the	DET
fis-119	74	16	limit	limit	NOUN
fis-119	74	17	value	value	NOUN
fis-119	74	18			PROPN
fis-119	74	19	=	=	SYM
fis-119	74	20	(0	(0	PROPN
fis-119	74	21	)	)	PUNCT
fis-119	74	22	,	,	PUNCT
fis-119	74	23	corresponding	correspond	VERB
fis-119	74	24	to	to	ADP
fis-119	74	25	the	the	DET
fis-119	74	26	boundary	boundary	NOUN
fis-119	74	27	of	of	ADP
fis-119	74	28	the	the	DET
fis-119	74	29	elastic	elastic	ADJ
fis-119	74	30	range	range	NOUN
fis-119	74	31	.	.	PUNCT
fis-119	75	1	this	this	DET
fis-119	75	2	event	event	NOUN
fis-119	75	3	marks	mark	VERB
fis-119	75	4	the	the	DET
fis-119	75	5	onset	onset	NOUN
fis-119	75	6	of	of	ADP
fis-119	75	7	the	the	DET
fis-119	75	8	inelastic	inelastic	ADJ
fis-119	75	9	regime	regime	NOUN
fis-119	75	10	.	.	PUNCT
fis-119	76	1			ADP
fis-119	76	2	the	the	DET
fis-119	76	3	response	response	NOUN
fis-119	76	4	in	in	ADP
fis-119	76	5	the	the	DET
fis-119	76	6	inelastic	inelastic	ADJ
fis-119	76	7	regime	regime	NOUN
fis-119	76	8	strongly	strongly	ADV
fis-119	76	9	depends	depend	VERB
fis-119	76	10	on	on	ADP
fis-119	76	11	the	the	DET
fis-119	76	12	sign	sign	NOUN
fis-119	76	13	of	of	ADP
fis-119	76	14	(0	(0	PROPN
fis-119	76	15	)	)	PUNCT
fis-119	76	16	.	.	PUNCT
fis-119	77	1	if	if	SCONJ
fis-119	77	2	(0	(0	NUM
fis-119	77	3	)	)	PUNCT
fis-119	77	4	is	be	AUX
fis-119	77	5	positive	positive	ADJ
fis-119	77	6	,	,	PUNCT
fis-119	77	7	the	the	DET
fis-119	77	8	deformation	deformation	NOUN
fis-119	77	9	is	be	AUX
fis-119	77	10	homogeneous	homogeneous	ADJ
fis-119	77	11	,	,	PUNCT
fis-119	77	12	that	that	ADV
fis-119	77	13	is	is	ADV
fis-119	77	14	,	,	PUNCT
fis-119	77	15	both	both	CCONJ
fis-119	77	16			PROPN
fis-119	77	17	and	and	CCONJ
fis-119	77	18			NOUN
fis-119	77	19	are	be	AUX
fis-119	77	20	constant	constant	ADJ
fis-119	77	21	all	all	ADV
fis-119	77	22	over	over	ADP
fis-119	77	23	the	the	DET
fis-119	77	24	bar	bar	NOUN
fis-119	77	25	.	.	PUNCT
fis-119	78	1	if	if	SCONJ
fis-119	78	2	0	0	PROPN
fis-119	78	3	,	,	PUNCT
fis-119	78	4	the	the	DET
fis-119	78	5	inelastic	inelastic	ADJ
fis-119	78	6	deformation	deformation	NOUN
fis-119	78	7	is	be	AUX
fis-119	78	8	given	give	VERB
fis-119	78	9	by	by	ADP
fis-119	78	10	the	the	DET
fis-119	78	11	solution	solution	NOUN
fis-119	78	12	of	of	ADP
fis-119	78	13	the	the	DET
fis-119	78	14	differential	differential	ADJ
fis-119	78	15	equation	equation	NOUN
fis-119	78	16	)	)	PUNCT
fis-119	78	17	(	(	PUNCT
fis-119	78	18	)	)	PUNCT
fis-119	78	19	)	)	PUNCT
fis-119	78	20	(	(	PUNCT
fis-119	78	21	)	)	PUNCT
fis-119	78	22	(	(	PUNCT
fis-119	78	23	(	(	PUNCT
fis-119	78	24	''	''	PUNCT
fis-119	78	25	)	)	PUNCT
fis-119	78	26	)	)	PUNCT
fis-119	78	27	(	(	PUNCT
fis-119	78	28	(	(	PUNCT
fis-119	78	29	''	''	PUNCT
fis-119	78	30	)	)	PUNCT
fis-119	78	31	)	)	PUNCT
fis-119	78	32	(	(	PUNCT
fis-119	78	33	)	)	PUNCT
fis-119	78	34	(	(	PUNCT
fis-119	78	35	(	(	PUNCT
fis-119	78	36	''	''	PUNCT
fis-119	78	37	)	)	PUNCT
fis-119	78	38	(	(	PUNCT
fis-119	78	39	t	t	PROPN
fis-119	78	40	ttwt	ttwt	PROPN
fis-119	78	41	ttw	ttw	PROPN
fis-119	78	42	t	t	PROPN
fis-119	78	43			PROPN
fis-119	78	44			NOUN
fis-119	78	45			NOUN
fis-119	78	46			NOUN
fis-119	78	47			PROPN
fis-119	78	48			NOUN
fis-119	78	49			NUM
fis-119	78	50	(	(	PUNCT
fis-119	78	51	15	15	NUM
fis-119	78	52	)	)	PUNCT
fis-119	78	53	joined	join	VERB
fis-119	78	54	with	with	ADP
fis-119	78	55	an	an	DET
fis-119	78	56	appropriate	appropriate	ADJ
fis-119	78	57	initial	initial	ADJ
fis-119	78	58	condition	condition	NOUN
fis-119	78	59	.	.	PUNCT
fis-119	79	1	the	the	DET
fis-119	79	2	slope	slope	NOUN
fis-119	79	3	of	of	ADP
fis-119	79	4	the	the	DET
fis-119	79	5	force	force	NOUN
fis-119	79	6	-	-	PUNCT
fis-119	79	7	elongation	elongation	NOUN
fis-119	79	8	response	response	NOUN
fis-119	79	9	curve	curve	NOUN
fis-119	79	10	is	be	AUX
fis-119	79	11	given	give	VERB
fis-119	79	12	by	by	ADP
fis-119	79	13	)	)	PUNCT
fis-119	79	14	(	(	PUNCT
fis-119	79	15	)	)	PUNCT
fis-119	79	16	)	)	PUNCT
fis-119	79	17	(	(	PUNCT
fis-119	79	18	)	)	PUNCT
fis-119	79	19	(	(	PUNCT
fis-119	79	20	(	(	PUNCT
fis-119	79	21	''	''	PUNCT
fis-119	79	22	)	)	PUNCT
fis-119	79	23	)	)	PUNCT
fis-119	79	24	(	(	PUNCT
fis-119	79	25	(	(	PUNCT
fis-119	79	26	''	''	PUNCT
fis-119	79	27	)	)	PUNCT
fis-119	79	28	)	)	PUNCT
fis-119	79	29	(	(	PUNCT
fis-119	79	30	)	)	PUNCT
fis-119	79	31	(	(	PUNCT
fis-119	79	32	(	(	PUNCT
fis-119	79	33	''	''	PUNCT
fis-119	79	34	)	)	PUNCT
fis-119	79	35	)	)	PUNCT
fis-119	79	36	(	(	PUNCT
fis-119	79	37	(	(	PUNCT
fis-119	79	38	''	''	PUNCT
fis-119	79	39	)	)	PUNCT
fis-119	79	40	(	(	PUNCT
fis-119	79	41	t	t	NOUN
fis-119	79	42	ttwt	ttwt	NOUN
fis-119	79	43	ttwt	ttwt	PROPN
fis-119	79	44	t	t	PROPN
fis-119	79	45			PROPN
fis-119	79	46			NOUN
fis-119	79	47			NOUN
fis-119	79	48			PROPN
fis-119	79	49			NOUN
fis-119	79	50			PROPN
fis-119	79	51			NOUN
fis-119	79	52			NUM
fis-119	79	53	(	(	PUNCT
fis-119	79	54	16	16	NUM
fis-119	79	55	)	)	PUNCT
fis-119	79	56	the	the	DET
fis-119	79	57	slope	slope	NOUN
fis-119	79	58	is	be	AUX
fis-119	79	59	positive	positive	ADJ
fis-119	79	60	,	,	PUNCT
fis-119	79	61	that	that	ADV
fis-119	79	62	is	is	ADV
fis-119	79	63	,	,	PUNCT
fis-119	79	64	the	the	DET
fis-119	79	65	inelastic	inelastic	ADJ
fis-119	79	66	regime	regime	NOUN
fis-119	79	67	starts	start	VERB
fis-119	79	68	with	with	ADP
fis-119	79	69	a	a	DET
fis-119	79	70	work	work	NOUN
fis-119	79	71	-	-	PUNCT
fis-119	79	72	hardening	harden	VERB
fis-119	79	73	response	response	NOUN
fis-119	79	74	.	.	PUNCT
fis-119	80	1	if	if	SCONJ
fis-119	80	2	0	0	NUM
fis-119	80	3	,	,	PUNCT
fis-119	80	4	elastic	elastic	ADJ
fis-119	80	5	unloading	unloading	NOUN
fis-119	80	6	takes	take	VERB
fis-119	80	7	place.	place.	PROPN
fis-119	80	8			PROPN
fis-119	80	9	if	if	SCONJ
fis-119	80	10	(0	(0	NUM
fis-119	80	11	)	)	PUNCT
fis-119	80	12	is	be	AUX
fis-119	80	13	zero	zero	NUM
fis-119	80	14	,	,	PUNCT
fis-119	80	15	the	the	DET
fis-119	80	16	initial	initial	ADJ
fis-119	80	17	response	response	NOUN
fis-119	80	18	is	be	AUX
fis-119	80	19	perfectly	perfectly	ADV
fis-119	80	20	plastic	plastic	ADJ
fis-119	80	21	.	.	PUNCT
fis-119	81	1	the	the	DET
fis-119	81	2	force	force	NOUN
fis-119	81	3	is	be	AUX
fis-119	81	4	constant	constant	ADJ
fis-119	81	5	in	in	ADP
fis-119	81	6	time	time	NOUN
fis-119	81	7	,	,	PUNCT
fis-119	81	8	0	0	NUM
fis-119	81	9	)	)	PUNCT
fis-119	81	10	(	(	PUNCT
fis-119	81	11	t	t	ADV
fis-119	81	12	,	,	PUNCT
fis-119	81	13	the	the	DET
fis-119	81	14	total	total	ADJ
fis-119	81	15	inelastic	inelastic	ADJ
fis-119	81	16	deformation	deformation	NOUN
fis-119	81	17	rate	rate	NOUN
fis-119	81	18	is	be	AUX
fis-119	81	19	equal	equal	ADJ
fis-119	81	20	to	to	ADP
fis-119	81	21	the	the	DET
fis-119	81	22	total	total	ADJ
fis-119	81	23	elongation	elongation	NOUN
fis-119	81	24	rate	rate	NOUN
fis-119	81	25	)	)	PUNCT
fis-119	81	26	(	(	PUNCT
fis-119	81	27	tl	tl	INTJ
fis-119	81	28	,	,	PUNCT
fis-119	81	29	while	while	SCONJ
fis-119	81	30	the	the	DET
fis-119	81	31	punctual	punctual	ADJ
fis-119	81	32	distribution	distribution	NOUN
fis-119	81	33	of	of	ADP
fis-119	81	34	)	)	PUNCT
fis-119	81	35	(	(	PUNCT
fis-119	81	36	t	t	PROPN
fis-119	81	37	remains	remain	VERB
fis-119	81	38	undetermined	undetermined	ADJ
fis-119	81	39	.	.	PUNCT
fis-119	82	1			X
fis-119	82	2	finally	finally	ADV
fis-119	82	3	,	,	PUNCT
fis-119	82	4	if	if	SCONJ
fis-119	82	5	(0	(0	NUM
fis-119	82	6	)	)	PUNCT
fis-119	82	7	is	be	AUX
fis-119	82	8	negative	negative	ADJ
fis-119	82	9	the	the	DET
fis-119	82	10	necessary	necessary	ADJ
fis-119	82	11	condition	condition	NOUN
fis-119	82	12	for	for	ADP
fis-119	82	13	equilibrium	equilibrium	NOUN
fis-119	82	14	(	(	PUNCT
fis-119	82	15	14	14	NUM
fis-119	82	16	)	)	PUNCT
fis-119	82	17	is	be	AUX
fis-119	82	18	violated	violate	VERB
fis-119	82	19	.	.	PUNCT
fis-119	83	1	the	the	DET
fis-119	83	2	deformation	deformation	NOUN
fis-119	83	3	tends	tend	VERB
fis-119	83	4	to	to	PART
fis-119	83	5	concentrate	concentrate	VERB
fis-119	83	6	on	on	ADP
fis-119	83	7	a	a	DET
fis-119	83	8	very	very	ADV
fis-119	83	9	small	small	ADJ
fis-119	83	10	portion	portion	NOUN
fis-119	83	11	of	of	ADP
fis-119	83	12	the	the	DET
fis-119	83	13	bar	bar	NOUN
fis-119	83	14	,	,	PUNCT
fis-119	83	15	and	and	CCONJ
fis-119	83	16	the	the	DET
fis-119	83	17	slope	slope	NOUN
fis-119	83	18	)	)	PUNCT
fis-119	83	19	(	(	PUNCT
fis-119	83	20	/	/	SYM
fis-119	83	21	)	)	PUNCT
fis-119	83	22	(	(	PUNCT
fis-119	83	23	tt	tt	PROPN
fis-119	83	24			PROPN
fis-119	83	25			NOUN
fis-119	83	26	tends	tend	VERB
fis-119	83	27	to	to	ADP
fis-119	83	28	.	.	PRON
fis-119	83	29	this	this	PRON
fis-119	83	30	is	be	AUX
fis-119	83	31	the	the	DET
fis-119	83	32	model	model	NOUN
fis-119	83	33	’s	’s	PART
fis-119	83	34	representation	representation	NOUN
fis-119	83	35	of	of	ADP
fis-119	83	36	the	the	DET
fis-119	83	37	catastrophic	catastrophic	ADJ
fis-119	83	38	failure	failure	NOUN
fis-119	83	39	of	of	ADP
fis-119	83	40	the	the	DET
fis-119	83	41	bar	bar	NOUN
fis-119	83	42	.	.	PUNCT
fis-119	84	1	the	the	DET
fis-119	84	2	work	work	NOUN
fis-119	84	3	-	-	PUNCT
fis-119	84	4	hardening	harden	VERB
fis-119	84	5	regime	regime	NOUN
fis-119	84	6	ends	end	VERB
fis-119	84	7	if	if	SCONJ
fis-119	84	8	,	,	PUNCT
fis-119	84	9	with	with	ADP
fis-119	84	10	growing	grow	VERB
fis-119	84	11	inelastic	inelastic	ADJ
fis-119	84	12	deformation	deformation	NOUN
fis-119	84	13	,	,	PUNCT
fis-119	84	14	((t	((t	NOUN
fis-119	84	15	)	)	PUNCT
fis-119	84	16	)	)	PUNCT
fis-119	85	1	becomes	become	VERB
fis-119	85	2	equal	equal	ADJ
fis-119	85	3	to	to	ADP
fis-119	85	4	zero	zero	NUM
fis-119	85	5	.	.	PUNCT
fis-119	86	1	of	of	ADP
fis-119	86	2	course	course	NOUN
fis-119	86	3	,	,	PUNCT
fis-119	86	4	this	this	PRON
fis-119	86	5	may	may	AUX
fis-119	86	6	or	or	CCONJ
fis-119	86	7	may	may	AUX
fis-119	86	8	not	not	PART
fis-119	86	9	be	be	AUX
fis-119	86	10	possible	possible	ADJ
fis-119	86	11	,	,	PUNCT
fis-119	86	12	according	accord	VERB
fis-119	86	13	to	to	ADP
fis-119	86	14	the	the	DET
fis-119	86	15	shape	shape	NOUN
fis-119	86	16	assumed	assume	VERB
fis-119	86	17	for	for	ADP
fis-119	86	18	the	the	DET
fis-119	86	19	function	function	NOUN
fis-119	86	20			PROPN
fis-119	86	21			PUNCT
fis-119	86	22	figure	figure	VERB
fis-119	86	23	1	1	NUM
fis-119	86	24	:	:	PUNCT
fis-119	86	25	force	force	NOUN
fis-119	86	26	-	-	PUNCT
fis-119	86	27	elongation	elongation	NOUN
fis-119	86	28	response	response	NOUN
fis-119	86	29	curves	curve	NOUN
fis-119	86	30	at	at	ADP
fis-119	86	31	the	the	DET
fis-119	86	32	onset	onset	NOUN
fis-119	86	33	of	of	ADP
fis-119	86	34	the	the	DET
fis-119	86	35	inelastic	inelastic	ADJ
fis-119	86	36	regime	regime	NOUN
fis-119	86	37	,	,	PUNCT
fis-119	86	38	for	for	ADP
fis-119	86	39	different	different	ADJ
fis-119	86	40	signs	sign	NOUN
fis-119	86	41	of	of	ADP
fis-119	86	42	(0	(0	NUM
fis-119	86	43	)	)	PUNCT
fis-119	86	44			VERB
fis-119	86	45	the	the	DET
fis-119	86	46	main	main	ADJ
fis-119	86	47	result	result	NOUN
fis-119	86	48	of	of	ADP
fis-119	86	49	the	the	DET
fis-119	86	50	local	local	ADJ
fis-119	86	51	model	model	NOUN
fis-119	86	52	is	be	AUX
fis-119	86	53	that	that	SCONJ
fis-119	86	54	the	the	DET
fis-119	86	55	initial	initial	ADJ
fis-119	86	56	part	part	NOUN
fis-119	86	57	of	of	ADP
fis-119	86	58	the	the	DET
fis-119	86	59	inelastic	inelastic	ADJ
fis-119	86	60	response	response	NOUN
fis-119	86	61	is	be	AUX
fis-119	86	62	determined	determine	VERB
fis-119	86	63	by	by	ADP
fis-119	86	64	the	the	DET
fis-119	86	65	sign	sign	NOUN
fis-119	86	66	of	of	ADP
fis-119	86	67	the	the	DET
fis-119	86	68	second	second	ADJ
fis-119	86	69	derivative	derivative	ADJ
fis-119	86	70			NOUN
fis-119	86	71	(0	(0	VERB
fis-119	86	72	)	)	PUNCT
fis-119	86	73	.	.	PUNCT
fis-119	87	1	that	that	PRON
fis-119	87	2	is	be	AUX
fis-119	87	3	,	,	PUNCT
fis-119	87	4	by	by	ADP
fis-119	87	5	the	the	DET
fis-119	87	6	initial	initial	ADJ
fis-119	87	7	convexity	convexity	NOUN
fis-119	87	8	or	or	CCONJ
fis-119	87	9	concavity	concavity	NOUN
fis-119	87	10	of	of	ADP
fis-119	87	11	the	the	DET
fis-119	87	12	cohesive	cohesive	ADJ
fis-119	87	13	energy	energy	NOUN
fis-119	87	14	.	.	PUNCT
fis-119	88	1	the	the	DET
fis-119	88	2	predictions	prediction	NOUN
fis-119	88	3	of	of	ADP
fis-119	88	4	the	the	DET
fis-119	88	5	local	local	ADJ
fis-119	88	6	model	model	NOUN
fis-119	88	7	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	88	8	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	88	9	g.	g.	PROPN
fis-119	88	10	del	del	PROPN
fis-119	88	11	piero	piero	PROPN
fis-119	88	12	et	et	PROPN
fis-119	88	13	alii	alii	PROPN
fis-119	88	14	,	,	PUNCT
fis-119	88	15	frattura	frattura	PROPN
fis-119	88	16	ed	ed	PROPN
fis-119	88	17	integrità	integrità	PROPN
fis-119	88	18	strutturale	strutturale	PROPN
fis-119	88	19	,	,	PUNCT
fis-119	88	20	18	18	NUM
fis-119	88	21	(	(	PUNCT
fis-119	88	22	2011	2011	NUM
fis-119	88	23	)	)	PUNCT
fis-119	88	24	5	5	NUM
fis-119	88	25	-	-	SYM
fis-119	88	26	13	13	NUM
fis-119	88	27	;	;	PUNCT
fis-119	88	28	doi	doi	NOUN
fis-119	88	29	:	:	PUNCT
fis-119	88	30	10.3221	10.3221	NUM
fis-119	88	31	/	/	SYM
fis-119	88	32	igf	igf	PROPN
fis-119	88	33	-	-	NOUN
fis-119	88	34	esis.18.01	esis.18.01	PROPN
fis-119	88	35	9	9	NUM
fis-119	88	36	at	at	ADP
fis-119	88	37	the	the	DET
fis-119	88	38	onset	onset	NOUN
fis-119	88	39	of	of	ADP
fis-119	88	40	the	the	DET
fis-119	88	41	inelastic	inelastic	ADJ
fis-119	88	42	regime	regime	NOUN
fis-119	88	43	are	be	AUX
fis-119	88	44	summarized	summarize	VERB
fis-119	88	45	in	in	ADP
fis-119	88	46	fig.1	fig.1	PROPN
fis-119	88	47	.	.	PUNCT
fis-119	89	1	the	the	DET
fis-119	89	2	subsequent	subsequent	ADJ
fis-119	89	3	part	part	NOUN
fis-119	89	4	of	of	ADP
fis-119	89	5	the	the	DET
fis-119	89	6	response	response	NOUN
fis-119	89	7	curve	curve	NOUN
fis-119	89	8	depends	depend	VERB
fis-119	89	9	on	on	ADP
fis-119	89	10	the	the	DET
fis-119	89	11	analytic	analytic	ADJ
fis-119	89	12	expression	expression	NOUN
fis-119	89	13	of	of	ADP
fis-119	89	14	the	the	DET
fis-119	89	15	cohesive	cohesive	ADJ
fis-119	89	16	energy	energy	NOUN
fis-119	89	17	away	away	NOUN
fis-119	89	18	from	from	ADP
fis-119	89	19	the	the	DET
fis-119	89	20	origin	origin	NOUN
fis-119	89	21	.	.	PUNCT
fis-119	90	1	anyway	anyway	ADV
fis-119	90	2	,	,	PUNCT
fis-119	90	3	the	the	DET
fis-119	90	4	picture	picture	NOUN
fis-119	90	5	shows	show	VERB
fis-119	90	6	a	a	DET
fis-119	90	7	major	major	ADJ
fis-119	90	8	defect	defect	NOUN
fis-119	90	9	of	of	ADP
fis-119	90	10	the	the	DET
fis-119	90	11	model	model	NOUN
fis-119	90	12	,	,	PUNCT
fis-119	90	13	that	that	ADV
fis-119	90	14	is	is	ADV
fis-119	90	15	,	,	PUNCT
fis-119	90	16	the	the	DET
fis-119	90	17	incapability	incapability	NOUN
fis-119	90	18	of	of	ADP
fis-119	90	19	reproducing	reproduce	VERB
fis-119	90	20	the	the	DET
fis-119	90	21	regime	regime	NOUN
fis-119	90	22	of	of	ADP
fis-119	90	23	strain	strain	NOUN
fis-119	90	24	softening	soften	VERB
fis-119	90	25	,	,	PUNCT
fis-119	90	26	in	in	ADP
fis-119	90	27	which	which	PRON
fis-119	90	28	the	the	DET
fis-119	90	29	response	response	NOUN
fis-119	90	30	curve	curve	NOUN
fis-119	90	31	exhibits	exhibit	VERB
fis-119	90	32	a	a	DET
fis-119	90	33	negative	negative	ADJ
fis-119	90	34	slope	slope	NOUN
fis-119	90	35	.	.	PUNCT
fis-119	91	1	indeed	indeed	ADV
fis-119	91	2	,	,	PUNCT
fis-119	91	3	catastrophic	catastrophic	ADJ
fis-119	91	4	failure	failure	NOUN
fis-119	91	5	occurs	occur	VERB
fis-119	91	6	as	as	ADV
fis-119	91	7	soon	soon	ADV
fis-119	91	8	as	as	SCONJ
fis-119	91	9			PROPN
fis-119	91	10	(0	(0	VERB
fis-119	91	11	)	)	PUNCT
fis-119	91	12	takes	take	VERB
fis-119	91	13	a	a	DET
fis-119	91	14	negative	negative	ADJ
fis-119	91	15	value	value	NOUN
fis-119	91	16	.	.	PUNCT
fis-119	92	1			VERB
fis-119	92	2	the	the	DET
fis-119	92	3	non	non	ADJ
fis-119	92	4	-	-	ADJ
fis-119	92	5	local	local	ADJ
fis-119	92	6	model	model	NOUN
fis-119	92	7	he	he	PRON
fis-119	92	8	reproduction	reproduction	NOUN
fis-119	92	9	of	of	ADP
fis-119	92	10	strain	strain	NOUN
fis-119	92	11	softening	soften	VERB
fis-119	92	12	becomes	become	VERB
fis-119	92	13	possible	possible	ADJ
fis-119	92	14	in	in	ADP
fis-119	92	15	the	the	DET
fis-119	92	16	non	non	ADJ
fis-119	92	17	-	-	ADJ
fis-119	92	18	local	local	ADJ
fis-119	92	19	model	model	NOUN
fis-119	92	20	obtained	obtain	VERB
fis-119	92	21	by	by	ADP
fis-119	92	22	adding	add	VERB
fis-119	92	23	to	to	ADP
fis-119	92	24	the	the	DET
fis-119	92	25	energy	energy	NOUN
fis-119	92	26	(	(	PUNCT
fis-119	92	27	3	3	X
fis-119	92	28	)	)	PUNCT
fis-119	92	29	a	a	DET
fis-119	92	30	term	term	NOUN
fis-119	92	31	proportional	proportional	ADJ
fis-119	92	32	to	to	ADP
fis-119	92	33	the	the	DET
fis-119	92	34	square	square	NOUN
fis-119	92	35	of	of	ADP
fis-119	92	36	the	the	DET
fis-119	92	37	gradient	gradient	NOUN
fis-119	92	38	of	of	ADP
fis-119	92	39	the	the	DET
fis-119	92	40	inelastic	inelastic	ADJ
fis-119	92	41	deformation	deformation	NOUN
fis-119	92	42			X
fis-119	92	43			PROPN
fis-119	92	44	l	l	NOUN
fis-119	92	45	dxxxwe	dxxxwe	PROPN
fis-119	92	46	0	0	NUM
fis-119	92	47	)	)	PUNCT
fis-119	92	48	)	)	PUNCT
fis-119	92	49	)	)	PUNCT
fis-119	92	50	(	(	PUNCT
fis-119	92	51	(	(	PUNCT
fis-119	92	52	)	)	PUNCT
fis-119	92	53	)	)	PUNCT
fis-119	92	54	(	(	PUNCT
fis-119	92	55	(	(	PUNCT
fis-119	92	56	(	(	PUNCT
fis-119	92	57	)	)	PUNCT
fis-119	92	58	,	,	PUNCT
fis-119	92	59	(	(	PUNCT
fis-119	92	60			NOUN
fis-119	93	1	+	+	CCONJ
fis-119	93	2			PUNCT
fis-119	93	3	l	l	NOUN
fis-119	93	4	dxx	dxx	NOUN
fis-119	93	5	0	0	NUM
fis-119	93	6	2	2	NUM
fis-119	93	7	2	2	NUM
fis-119	93	8	1	1	NUM
fis-119	93	9	)	)	PUNCT
fis-119	93	10	(	(	PUNCT
fis-119	93	11	'	'	PUNCT
fis-119	93	12			NOUN
fis-119	93	13	(	(	PUNCT
fis-119	93	14	17	17	NUM
fis-119	93	15	)	)	PUNCT
fis-119	93	16	where	where	SCONJ
fis-119	93	17			NOUN
fis-119	93	18	is	be	AUX
fis-119	93	19	a	a	DET
fis-119	93	20	small	small	ADJ
fis-119	93	21	positive	positive	ADJ
fis-119	93	22	constant	constant	NOUN
fis-119	93	23	.	.	PUNCT
fis-119	94	1	the	the	DET
fis-119	94	2	addition	addition	NOUN
fis-119	94	3	of	of	ADP
fis-119	94	4	the	the	DET
fis-119	94	5	new	new	ADJ
fis-119	94	6	term	term	NOUN
fis-119	94	7	brings	bring	VERB
fis-119	94	8	additional	additional	ADJ
fis-119	94	9	terms	term	NOUN
fis-119	94	10	to	to	ADP
fis-119	94	11	the	the	DET
fis-119	94	12	yield	yield	NOUN
fis-119	94	13	condition	condition	NOUN
fis-119	94	14	(	(	PUNCT
fis-119	94	15	8)	8)	NUM
fis-119	94	16			NOUN
fis-119	94	17			PROPN
fis-119	94	18			NOUN
fis-119	94	19	((x	((x	PRON
fis-119	94	20	)	)	PUNCT
fis-119	94	21	)	)	PUNCT
fis-119	94	22	(x	(x	VERB
fis-119	94	23	)	)	PUNCT
fis-119	94	24	(	(	PUNCT
fis-119	94	25	18)	18)	NUM
fis-119	94	26	and	and	CCONJ
fis-119	94	27	to	to	ADP
fis-119	94	28	the	the	DET
fis-119	94	29	kuhn	kuhn	PROPN
fis-119	94	30	-	-	PUNCT
fis-119	94	31	tucker	tucker	PROPN
fis-119	94	32	conditions	condition	NOUN
fis-119	94	33	(	(	PUNCT
fis-119	94	34	11	11	NUM
fis-119	94	35	)	)	PUNCT
fis-119	94	36	0	0	NUM
fis-119	94	37	)	)	PUNCT
fis-119	94	38	(	(	PUNCT
fis-119	94	39	x	x	X
fis-119	94	40	,	,	PUNCT
fis-119	94	41	0	0	NUM
fis-119	94	42	)	)	PUNCT
fis-119	94	43	(	(	PUNCT
fis-119	94	44	''	''	PUNCT
fis-119	94	45	)	)	PUNCT
fis-119	94	46	)	)	PUNCT
fis-119	94	47	(	(	PUNCT
fis-119	94	48	(	(	PUNCT
fis-119	94	49	'	'	PUNCT
fis-119	94	50			PROPN
fis-119	94	51	xx	xx	X
fis-119	95	1			ADJ
fis-119	95	2	,	,	PUNCT
fis-119	95	3	0	0	NUM
fis-119	95	4	)	)	PUNCT
fis-119	95	5	(	(	PUNCT
fis-119	95	6	)	)	PUNCT
fis-119	95	7	)	)	PUNCT
fis-119	95	8	(	(	PUNCT
fis-119	95	9	''	''	PUNCT
fis-119	95	10	)	)	PUNCT
fis-119	95	11	)	)	PUNCT
fis-119	96	1	(	(	PUNCT
fis-119	96	2	(	(	PUNCT
fis-119	96	3	'	'	PUNCT
fis-119	96	4	(	(	PUNCT
fis-119	96	5			VERB
fis-119	96	6	xxx	xxx	NOUN
fis-119	96	7			PROPN
fis-119	96	8			NOUN
fis-119	96	9	(	(	PUNCT
fis-119	96	10	19	19	NUM
fis-119	96	11	)	)	PUNCT
fis-119	96	12	and	and	CCONJ
fis-119	96	13	(	(	PUNCT
fis-119	96	14	13	13	NUM
fis-119	96	15	)	)	PUNCT
fis-119	96	16	0	0	NUM
fis-119	96	17	)	)	PUNCT
fis-119	96	18	(	(	PUNCT
fis-119	96	19	x	x	X
fis-119	96	20	,	,	PUNCT
fis-119	96	21	0	0	NUM
fis-119	96	22	)	)	PUNCT
fis-119	96	23	(	(	PUNCT
fis-119	96	24	''	''	PUNCT
fis-119	96	25	)	)	PUNCT
fis-119	96	26	(	(	PUNCT
fis-119	96	27	)	)	PUNCT
fis-119	96	28	)	)	PUNCT
fis-119	96	29	(	(	PUNCT
fis-119	96	30	(	(	PUNCT
fis-119	96	31	''	''	PUNCT
fis-119	96	32			PROPN
fis-119	96	33	xxx	xxx	PROPN
fis-119	97	1			PROPN
fis-119	97	2			PROPN
fis-119	97	3	,	,	PUNCT
fis-119	97	4	0	0	NUM
fis-119	97	5	)	)	PUNCT
fis-119	97	6	(	(	PUNCT
fis-119	97	7	)	)	PUNCT
fis-119	97	8	)	)	PUNCT
fis-119	97	9	(	(	PUNCT
fis-119	97	10	''	''	PUNCT
fis-119	97	11	)	)	PUNCT
fis-119	97	12	(	(	PUNCT
fis-119	97	13	)	)	PUNCT
fis-119	97	14	)	)	PUNCT
fis-119	97	15	(	(	PUNCT
fis-119	97	16	(	(	PUNCT
fis-119	97	17	''	''	PUNCT
fis-119	97	18	(	(	PUNCT
fis-119	97	19			VERB
fis-119	97	20	xxxx	xxxx	PROPN
fis-119	98	1			PROPN
fis-119	98	2			PROPN
fis-119	98	3	,	,	PUNCT
fis-119	98	4	x	x	X
fis-119	98	5	(	(	PUNCT
fis-119	98	6	20	20	NUM
fis-119	98	7	)	)	PUNCT
fis-119	98	8	it	it	PRON
fis-119	98	9	also	also	ADV
fis-119	98	10	adds	add	VERB
fis-119	98	11	a	a	DET
fis-119	98	12	positive	positive	ADJ
fis-119	98	13	term	term	NOUN
fis-119	98	14	to	to	ADP
fis-119	98	15	the	the	DET
fis-119	98	16	second	second	ADJ
fis-119	98	17	variation	variation	NOUN
fis-119	98	18	.	.	PUNCT
fis-119	99	1	then	then	ADV
fis-119	99	2	the	the	DET
fis-119	99	3	necessary	necessary	ADJ
fis-119	99	4	condition	condition	NOUN
fis-119	99	5	(	(	PUNCT
fis-119	99	6	14	14	NUM
fis-119	99	7	)	)	PUNCT
fis-119	99	8	is	be	AUX
fis-119	99	9	relaxed	relax	VERB
fis-119	99	10	,	,	PUNCT
fis-119	99	11	and	and	CCONJ
fis-119	99	12	this	this	PRON
fis-119	99	13	is	be	AUX
fis-119	99	14	the	the	DET
fis-119	99	15	reason	reason	NOUN
fis-119	99	16	why	why	SCONJ
fis-119	99	17	a	a	DET
fis-119	99	18	description	description	NOUN
fis-119	99	19	of	of	ADP
fis-119	99	20	strain	strain	NOUN
fis-119	99	21	-	-	PUNCT
fis-119	99	22	softening	softening	NOUN
fis-119	99	23	becomes	become	VERB
fis-119	99	24	possible	possible	ADJ
fis-119	99	25	.	.	PUNCT
fis-119	100	1	at	at	ADP
fis-119	100	2	the	the	DET
fis-119	100	3	onset	onset	NOUN
fis-119	100	4	of	of	ADP
fis-119	100	5	the	the	DET
fis-119	100	6	inelastic	inelastic	ADJ
fis-119	100	7	regime	regime	NOUN
fis-119	100	8	,	,	PUNCT
fis-119	100	9	due	due	ADP
fis-119	100	10	to	to	ADP
fis-119	100	11	the	the	DET
fis-119	100	12	additional	additional	ADJ
fis-119	100	13	boundary	boundary	ADJ
fis-119	100	14	conditions	condition	NOUN
fis-119	100	15	required	require	VERB
fis-119	100	16	by	by	ADP
fis-119	100	17	the	the	DET
fis-119	100	18	supplementary	supplementary	ADJ
fis-119	100	19	gradient	gradient	NOUN
fis-119	100	20	term	term	NOUN
fis-119	100	21	,	,	PUNCT
fis-119	100	22	the	the	DET
fis-119	100	23	inelastic	inelastic	ADJ
fis-119	100	24	deformation	deformation	NOUN
fis-119	100	25	is	be	AUX
fis-119	100	26	not	not	PART
fis-119	100	27	anymore	anymore	ADV
fis-119	100	28	constant	constant	ADJ
fis-119	100	29	all	all	ADV
fis-119	100	30	over	over	ADP
fis-119	100	31	the	the	DET
fis-119	100	32	bar	bar	NOUN
fis-119	100	33	.	.	PUNCT
fis-119	101	1	the	the	DET
fis-119	101	2	choice	choice	NOUN
fis-119	101	3	of	of	ADP
fis-119	101	4	the	the	DET
fis-119	101	5	additional	additional	ADJ
fis-119	101	6	boundary	boundary	ADJ
fis-119	101	7	conditions	condition	NOUN
fis-119	101	8	is	be	AUX
fis-119	101	9	a	a	DET
fis-119	101	10	delicate	delicate	ADJ
fis-119	101	11	point	point	NOUN
fis-119	101	12	.	.	PUNCT
fis-119	102	1	our	our	PRON
fis-119	102	2	choice	choice	NOUN
fis-119	102	3	of	of	ADP
fis-119	102	4	taking	take	VERB
fis-119	102	5			NOUN
fis-119	102	6	(l	(l	PUNCT
fis-119	102	7	)	)	PUNCT
fis-119	102	8	=	=	SYM
fis-119	102	9	(0	(0	PROPN
fis-119	102	10	)	)	PUNCT
fis-119	102	11	=	=	SYM
fis-119	102	12	0	0	PUNCT
fis-119	103	1	(	(	PUNCT
fis-119	103	2	21)	21)	NUM
fis-119	103	3	is	be	AUX
fis-119	103	4	discussed	discuss	VERB
fis-119	103	5	in	in	ADP
fis-119	103	6	detail	detail	NOUN
fis-119	103	7	in	in	ADP
fis-119	103	8	the	the	DET
fis-119	103	9	paper	paper	NOUN
fis-119	103	10	[	[	X
fis-119	103	11	1	1	NUM
fis-119	103	12	]	]	PUNCT
fis-119	103	13	.	.	PUNCT
fis-119	104	1	with	with	ADP
fis-119	104	2	these	these	DET
fis-119	104	3	conditions	condition	NOUN
fis-119	104	4	,	,	PUNCT
fis-119	104	5	for	for	ADP
fis-119	104	6	the	the	DET
fis-119	104	7	inelastic	inelastic	ADJ
fis-119	104	8	strain	strain	NOUN
fis-119	104	9	rate	rate	NOUN
fis-119	104	10	we	we	PRON
fis-119	104	11	get	get	VERB
fis-119	104	12	the	the	DET
fis-119	104	13	expression	expression	NOUN
fis-119	104	14	xk	xk	PROPN
fis-119	104	15	xl	xl	PROPN
fis-119	104	16	x	x	PROPN
fis-119	104	17	sinh	sinh	PROPN
fis-119	104	18	2	2	NUM
fis-119	104	19	tanh	tanh	PROPN
fis-119	104	20	2	2	NUM
fis-119	104	21	tanh	tanh	NOUN
fis-119	104	22	)	)	PUNCT
fis-119	104	23	0	0	NUM
fis-119	104	24	(	(	PUNCT
fis-119	104	25	''	''	PUNCT
fis-119	104	26	)	)	PUNCT
fis-119	104	27	(	(	PUNCT
fis-119	104	28			PROPN
fis-119	104	29			NOUN
fis-119	104	30			PRON
fis-119	104	31			PROPN
fis-119	104	32			PROPN
fis-119	104	33			NOUN
fis-119	104	34			PROPN
fis-119	104	35			PUNCT
fis-119	104	36			PROPN
fis-119	104	37			PROPN
fis-119	104	38			NOUN
fis-119	104	39	,	,	PUNCT
fis-119	104	40	(	(	PUNCT
fis-119	104	41	22	22	NUM
fis-119	104	42	)	)	PUNCT
fis-119	104	43	with	with	ADP
fis-119	104	44			NOUN
fis-119	104	45	=(	=(	NOUN
fis-119	104	46	(0	(0	NUM
fis-119	104	47	)	)	PUNCT
fis-119	104	48	/)1/2	/)1/2	PUNCT
fis-119	104	49	,	,	PUNCT
fis-119	104	50	if	if	SCONJ
fis-119	104	51	(0	(0	PROPN
fis-119	104	52	)	)	PUNCT
fis-119	104	53	>	>	X
fis-119	104	54	0	0	NUM
fis-119	104	55	,	,	PUNCT
fis-119	104	56	and	and	PROPN
fis-119	104	57	)	)	PUNCT
fis-119	104	58	(	(	PUNCT
fis-119	104	59	2	2	NUM
fis-119	104	60	)	)	PUNCT
fis-119	104	61	(	(	PUNCT
fis-119	104	62	xlxx	xlxx	PROPN
fis-119	104	63			ADJ
fis-119	104	64			X
fis-119	104	65			PROPN
fis-119	104	66			NOUN
fis-119	104	67	(	(	PUNCT
fis-119	104	68	23	23	NUM
fis-119	104	69	)	)	PUNCT
fis-119	104	70	if	if	SCONJ
fis-119	104	71	(0	(0	NUM
fis-119	104	72	)	)	PUNCT
fis-119	104	73	=	=	SYM
fis-119	105	1	0	0	X
fis-119	105	2	.	.	PUNCT
fis-119	106	1	in	in	ADP
fis-119	106	2	both	both	DET
fis-119	106	3	cases	case	NOUN
fis-119	106	4	,	,	PUNCT
fis-119	106	5	the	the	DET
fis-119	106	6	added	add	VERB
fis-119	106	7	energy	energy	NOUN
fis-119	106	8	term	term	NOUN
fis-119	106	9	has	have	VERB
fis-119	106	10	the	the	DET
fis-119	106	11	effect	effect	NOUN
fis-119	106	12	of	of	ADP
fis-119	106	13	increasing	increase	VERB
fis-119	106	14	the	the	DET
fis-119	106	15	slope	slope	NOUN
fis-119	106	16	of	of	ADP
fis-119	106	17	the	the	DET
fis-119	106	18	force	force	NOUN
fis-119	106	19	-	-	PUNCT
fis-119	106	20	elongation	elongation	NOUN
fis-119	106	21	response	response	NOUN
fis-119	106	22	curve	curve	NOUN
fis-119	106	23	.	.	PUNCT
fis-119	107	1	in	in	ADP
fis-119	107	2	particular	particular	ADJ
fis-119	107	3	,	,	PUNCT
fis-119	107	4	for	for	ADP
fis-119	107	5	(0	(0	NUM
fis-119	107	6	)	)	PUNCT
fis-119	107	7	=	=	SYM
fis-119	107	8	0	0	PUNCT
fis-119	108	1	a	a	DET
fis-119	108	2	hardening	harden	VERB
fis-119	108	3	response	response	NOUN
fis-119	108	4	takes	take	VERB
fis-119	108	5	the	the	DET
fis-119	108	6	place	place	NOUN
fis-119	108	7	of	of	ADP
fis-119	108	8	the	the	DET
fis-119	108	9	perfectly	perfectly	ADV
fis-119	108	10	plastic	plastic	ADJ
fis-119	108	11	response	response	NOUN
fis-119	108	12	predicted	predict	VERB
fis-119	108	13	by	by	ADP
fis-119	108	14	the	the	DET
fis-119	108	15	local	local	ADJ
fis-119	108	16	model	model	NOUN
fis-119	108	17	.	.	PUNCT
fis-119	109	1	for	for	ADP
fis-119	109	2	(0	(0	NUM
fis-119	109	3	)	)	PUNCT
fis-119	109	4	<	<	X
fis-119	109	5	0	0	NUM
fis-119	109	6	,	,	PUNCT
fis-119	109	7	there	there	PRON
fis-119	109	8	are	be	VERB
fis-119	109	9	two	two	NUM
fis-119	109	10	types	type	NOUN
fis-119	109	11	of	of	ADP
fis-119	109	12	solutions	solution	NOUN
fis-119	109	13	:	:	PUNCT
fis-119	109	14	the	the	DET
fis-119	109	15	full	full	ADJ
fis-119	109	16	-	-	PUNCT
fis-119	109	17	size	size	NOUN
fis-119	109	18	solution	solution	NOUN
fis-119	109	19	xk	xk	PROPN
fis-119	109	20	lkxk	lkxk	PROPN
fis-119	109	21	x	x	PUNCT
fis-119	109	22	sin	sin	NOUN
fis-119	109	23	2	2	NUM
fis-119	109	24	tan	tan	NOUN
fis-119	109	25	2	2	NUM
fis-119	109	26	tan	tan	NOUN
fis-119	109	27	)	)	PUNCT
fis-119	109	28	0	0	NUM
fis-119	109	29	(	(	PUNCT
fis-119	109	30	''	''	PUNCT
fis-119	109	31	)	)	PUNCT
fis-119	109	32	(	(	PUNCT
fis-119	109	33			PROPN
fis-119	109	34			NOUN
fis-119	109	35			PRON
fis-119	109	36			PROPN
fis-119	109	37			PROPN
fis-119	109	38			NOUN
fis-119	109	39			ADJ
fis-119	109	40			PROPN
fis-119	109	41			PROPN
fis-119	109	42			NOUN
fis-119	109	43	,	,	PUNCT
fis-119	109	44	(	(	PUNCT
fis-119	109	45	24	24	NUM
fis-119	109	46	)	)	PUNCT
fis-119	109	47	with	with	ADP
fis-119	109	48	k	k	PROPN
fis-119	109	49	=(	=(	PROPN
fis-119	109	50	(0	(0	PROPN
fis-119	109	51	)	)	PUNCT
fis-119	109	52	/)1/2	/)1/2	PUNCT
fis-119	109	53	,	,	PUNCT
fis-119	109	54	if	if	SCONJ
fis-119	109	55	kl	kl	PROPN
fis-119	109	56	<	<	X
fis-119	109	57	2	2	NUM
fis-119	109	58	,	,	PUNCT
fis-119	109	59	and	and	CCONJ
fis-119	109	60	the	the	DET
fis-119	109	61	localized	localized	ADJ
fis-119	109	62	solution	solution	NOUN
fis-119	109	63			PROPN
fis-119	109	64	)	)	PUNCT
fis-119	109	65	)	)	PUNCT
fis-119	109	66	(	(	PUNCT
fis-119	109	67	cos1	cos1	PROPN
fis-119	109	68	(	(	PUNCT
fis-119	109	69	)	)	PUNCT
fis-119	109	70	0	0	NUM
fis-119	109	71	(	(	PUNCT
fis-119	109	72	''	''	PUNCT
fis-119	109	73	)	)	PUNCT
fis-119	109	74	(	(	PUNCT
fis-119	109	75	axkx	axkx	ADV
fis-119	109	76			PUNCT
fis-119	109	77			X
fis-119	109	78			PROPN
fis-119	109	79			NOUN
fis-119	109	80	,	,	PUNCT
fis-119	109	81	(	(	PUNCT
fis-119	109	82	25	25	NUM
fis-119	109	83	)	)	PUNCT
fis-119	109	84	t	t	PROPN
fis-119	109	85	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	109	86	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	109	87	g.	g.	PROPN
fis-119	109	88	del	del	PROPN
fis-119	109	89	piero	piero	PROPN
fis-119	109	90	et	et	PROPN
fis-119	109	91	alii	alii	PROPN
fis-119	109	92	,	,	PUNCT
fis-119	109	93	frattura	frattura	PROPN
fis-119	109	94	ed	ed	PROPN
fis-119	109	95	integrità	integrità	PROPN
fis-119	109	96	strutturale	strutturale	PROPN
fis-119	109	97	,	,	PUNCT
fis-119	109	98	18	18	NUM
fis-119	109	99	(	(	PUNCT
fis-119	109	100	2011	2011	NUM
fis-119	109	101	)	)	PUNCT
fis-119	109	102	5	5	NUM
fis-119	109	103	-	-	SYM
fis-119	109	104	13	13	NUM
fis-119	109	105	;	;	PUNCT
fis-119	109	106	doi	doi	NOUN
fis-119	109	107	:	:	PUNCT
fis-119	109	108	10.3221	10.3221	NUM
fis-119	109	109	/	/	SYM
fis-119	109	110	igf	igf	PROPN
fis-119	109	111	-	-	NOUN
fis-119	109	112	esis.18.01	esis.18.01	PROPN
fis-119	109	113	10	10	NUM
fis-119	109	114	if	if	SCONJ
fis-119	109	115	kl	kl	PROPN
fis-119	109	116	>	>	X
fis-119	109	117	2.the	2.the	DET
fis-119	109	118	latter	latter	ADJ
fis-119	109	119	are	be	AUX
fis-119	109	120	concentrated	concentrate	VERB
fis-119	109	121	on	on	ADP
fis-119	109	122	an	an	DET
fis-119	109	123	interval	interval	NOUN
fis-119	109	124	(	(	PUNCT
fis-119	109	125	a	a	PRON
fis-119	109	126	,	,	PUNCT
fis-119	109	127	a	a	DET
fis-119	109	128	+	+	NUM
fis-119	109	129	ly	ly	NOUN
fis-119	109	130	)	)	PUNCT
fis-119	109	131	of	of	ADP
fis-119	109	132	length	length	NOUN
fis-119	109	133	ly	ly	X
fis-119	109	134	=	=	SYM
fis-119	109	135	2	2	NUM
fis-119	109	136	/k	/k	PUNCT
fis-119	109	137	<	<	AUX
fis-119	109	138	l.	l.	X
fis-119	109	139	the	the	DET
fis-119	109	140	initial	initial	ADJ
fis-119	109	141	slope	slope	NOUN
fis-119	109	142	of	of	ADP
fis-119	109	143	the	the	DET
fis-119	109	144	inelastic	inelastic	ADJ
fis-119	109	145	response	response	NOUN
fis-119	109	146	curve	curve	NOUN
fis-119	109	147	is	be	AUX
fis-119	109	148	positive	positive	ADJ
fis-119	109	149	for	for	ADP
fis-119	109	150	kl	kl	INTJ
fis-119	109	151	<	<	X
fis-119	109	152			PROPN
fis-119	109	153	,	,	PUNCT
fis-119	109	154	and	and	CCONJ
fis-119	109	155	negative	negative	ADJ
fis-119	109	156	for	for	ADP
fis-119	109	157	kl	kl	PROPN
fis-119	109	158	>	>	X
fis-119	109	159	.	.	X
fis-119	110	1	it	it	PRON
fis-119	110	2	is	be	AUX
fis-119	110	3	usual	usual	ADJ
fis-119	110	4	to	to	PART
fis-119	110	5	consider	consider	VERB
fis-119	110	6	the	the	DET
fis-119	110	7	material	material	NOUN
fis-119	110	8	constant	constant	ADJ
fis-119	110	9	li	li	PROPN
fis-119	110	10	=	=	SYM
fis-119	110	11			PROPN
fis-119	110	12	/	/	SYM
fis-119	110	13	k	k	X
fis-119	110	14	(	(	PUNCT
fis-119	110	15	26	26	NUM
fis-119	110	16	)	)	PUNCT
fis-119	110	17	as	as	ADP
fis-119	110	18	an	an	DET
fis-119	110	19	internal	internal	ADJ
fis-119	110	20	length	length	NOUN
fis-119	110	21	of	of	ADP
fis-119	110	22	the	the	DET
fis-119	110	23	material	material	NOUN
fis-119	110	24	.	.	PUNCT
fis-119	111	1	from	from	ADP
fis-119	111	2	the	the	DET
fis-119	111	3	preceding	precede	VERB
fis-119	111	4	analysis	analysis	NOUN
fis-119	111	5	it	it	PRON
fis-119	111	6	follows	follow	VERB
fis-119	111	7	that	that	SCONJ
fis-119	111	8	the	the	DET
fis-119	111	9	inelastic	inelastic	ADJ
fis-119	111	10	regime	regime	NOUN
fis-119	111	11	starts	start	VERB
fis-119	111	12	with	with	ADP
fis-119	111	13			PROPN
fis-119	111	14	a	a	DET
fis-119	111	15	full	full	ADJ
fis-119	111	16	-	-	PUNCT
fis-119	111	17	size	size	NOUN
fis-119	111	18	solution	solution	NOUN
fis-119	111	19	and	and	CCONJ
fis-119	111	20	a	a	DET
fis-119	111	21	work	work	NOUN
fis-119	111	22	-	-	PUNCT
fis-119	111	23	hardening	harden	VERB
fis-119	111	24	response	response	NOUN
fis-119	111	25	if	if	SCONJ
fis-119	111	26	l	l	PROPN
fis-119	111	27	<	<	X
fis-119	111	28	li	li	X
fis-119	111	29	,	,	PUNCT
fis-119	111	30			PROPN
fis-119	111	31	a	a	DET
fis-119	111	32	full	full	ADJ
fis-119	111	33	-	-	PUNCT
fis-119	111	34	size	size	NOUN
fis-119	111	35	solution	solution	NOUN
fis-119	111	36	and	and	CCONJ
fis-119	111	37	a	a	DET
fis-119	111	38	strain	strain	NOUN
fis-119	111	39	-	-	PUNCT
fis-119	111	40	softening	soften	VERB
fis-119	111	41	response	response	NOUN
fis-119	111	42	if	if	SCONJ
fis-119	111	43	li	li	PROPN
fis-119	111	44	<	<	X
fis-119	111	45	l	l	X
fis-119	111	46	<	<	X
fis-119	111	47	2	2	NUM
fis-119	111	48	li	li	NOUN
fis-119	111	49	,	,	PUNCT
fis-119	111	50			PROPN
fis-119	111	51	a	a	DET
fis-119	111	52	localized	localized	ADJ
fis-119	111	53	solution	solution	NOUN
fis-119	111	54	and	and	CCONJ
fis-119	111	55	a	a	DET
fis-119	111	56	strain	strain	NOUN
fis-119	111	57	-	-	PUNCT
fis-119	111	58	softening	soften	VERB
fis-119	111	59	response	response	NOUN
fis-119	111	60	if	if	SCONJ
fis-119	111	61	l	l	PROPN
fis-119	111	62	>	>	X
fis-119	111	63	2	2	NUM
fis-119	111	64	li	li	NOUN
fis-119	111	65	.	.	PUNCT
fis-119	112	1	catastrophic	catastrophic	ADJ
fis-119	112	2	failure	failure	NOUN
fis-119	112	3	again	again	ADV
fis-119	112	4	occurs	occur	VERB
fis-119	112	5	when	when	SCONJ
fis-119	112	6	the	the	DET
fis-119	112	7	slope	slope	NOUN
fis-119	112	8	of	of	ADP
fis-119	112	9	the	the	DET
fis-119	112	10	response	response	NOUN
fis-119	112	11	curve	curve	NOUN
fis-119	112	12	becomes	become	VERB
fis-119	112	13	.	.	ADP
fis-119	112	14	this	this	PRON
fis-119	112	15	never	never	ADV
fis-119	112	16	happens	happen	VERB
fis-119	112	17	for	for	ADP
fis-119	112	18	l	l	NOUN
fis-119	112	19	<	<	X
fis-119	112	20	li	li	PROPN
fis-119	112	21	.	.	PUNCT
fis-119	113	1	for	for	ADP
fis-119	113	2	li	li	PROPN
fis-119	113	3	<	<	X
fis-119	113	4	l	l	X
fis-119	113	5	<	<	X
fis-119	113	6	2	2	NUM
fis-119	113	7	li	li	NOUN
fis-119	113	8	,	,	PUNCT
fis-119	113	9	this	this	PRON
fis-119	113	10	happens	happen	VERB
fis-119	113	11	when	when	SCONJ
fis-119	113	12	0	0	NUM
fis-119	113	13	)	)	PUNCT
fis-119	113	14	(	(	PUNCT
fis-119	113	15	''	''	PUNCT
fis-119	113	16	2/	2/	NUM
fis-119	113	17	2	2	NUM
fis-119	113	18	/	/	SYM
fis-119	113	19	tan	tan	NOUN
fis-119	113	20	1)0	1)0	NUM
fis-119	113	21	(	(	PUNCT
fis-119	113	22	''	''	PUNCT
fis-119	113	23			NOUN
fis-119	113	24			VERB
fis-119	113	25			PRON
fis-119	113	26			PROPN
fis-119	113	27			PROPN
fis-119	113	28			NOUN
fis-119	113	29			PROPN
fis-119	113	30	cw	cw	PROPN
fis-119	113	31	kl	kl	PROPN
fis-119	113	32	kl	kl	PROPN
fis-119	113	33			PROPN
fis-119	113	34	(	(	PUNCT
fis-119	113	35	27	27	NUM
fis-119	113	36	)	)	PUNCT
fis-119	113	37	where	where	SCONJ
fis-119	113	38	c	c	VERB
fis-119	113	39	is	be	AUX
fis-119	113	40	the	the	DET
fis-119	113	41	elongation	elongation	NOUN
fis-119	113	42	at	at	ADP
fis-119	113	43	the	the	DET
fis-119	113	44	onset	onset	NOUN
fis-119	113	45	of	of	ADP
fis-119	113	46	the	the	DET
fis-119	113	47	inelastic	inelastic	ADJ
fis-119	113	48	regime	regime	NOUN
fis-119	113	49	.	.	PUNCT
fis-119	114	1	for	for	ADP
fis-119	114	2	l	l	PROPN
fis-119	114	3	>	>	X
fis-119	114	4	2	2	NUM
fis-119	114	5	li	li	NOUN
fis-119	114	6	,	,	PUNCT
fis-119	114	7	this	this	PRON
fis-119	114	8	happens	happen	VERB
fis-119	114	9	when	when	SCONJ
fis-119	114	10	0)('')0	0)('')0	NUM
fis-119	114	11	(	(	PUNCT
fis-119	114	12	''	''	PUNCT
fis-119	114	13			PROPN
fis-119	114	14	c	c	PROPN
fis-119	114	15	y	y	PROPN
fis-119	114	16	w	w	PROPN
fis-119	114	17	l	l	PROPN
fis-119	114	18	l	l	X
fis-119	114	19			X
fis-119	114	20	(	(	PUNCT
fis-119	114	21	28	28	NUM
fis-119	114	22	)	)	PUNCT
fis-119	114	23	the	the	DET
fis-119	114	24	occurrence	occurrence	NOUN
fis-119	114	25	of	of	ADP
fis-119	114	26	catastrophic	catastrophic	ADJ
fis-119	114	27	rupture	rupture	NOUN
fis-119	114	28	at	at	ADP
fis-119	114	29	the	the	DET
fis-119	114	30	onset	onset	NOUN
fis-119	114	31	is	be	AUX
fis-119	114	32	the	the	DET
fis-119	114	33	response	response	NOUN
fis-119	114	34	predicted	predict	VERB
fis-119	114	35	by	by	ADP
fis-119	114	36	griffth	griffth	PROPN
fis-119	114	37	’s	’s	PART
fis-119	114	38	theory	theory	NOUN
fis-119	114	39	of	of	ADP
fis-119	114	40	brittle	brittle	ADJ
fis-119	114	41	fracture	fracture	NOUN
fis-119	114	42	.	.	PUNCT
fis-119	115	1	for	for	ADP
fis-119	115	2	all	all	DET
fis-119	115	3	remaining	remain	VERB
fis-119	115	4	situations	situation	NOUN
fis-119	115	5	,	,	PUNCT
fis-119	115	6	the	the	DET
fis-119	115	7	subsequent	subsequent	ADJ
fis-119	115	8	response	response	NOUN
fis-119	115	9	depends	depend	VERB
fis-119	115	10	on	on	ADP
fis-119	115	11	the	the	DET
fis-119	115	12	behavior	behavior	NOUN
fis-119	115	13	of	of	ADP
fis-119	115	14			PROPN
fis-119	115	15	away	away	ADV
fis-119	115	16	from	from	ADP
fis-119	115	17	the	the	DET
fis-119	115	18	origin	origin	NOUN
fis-119	115	19	.	.	PUNCT
fis-119	116	1	depending	depend	VERB
fis-119	116	2	on	on	ADP
fis-119	116	3	the	the	DET
fis-119	116	4	form	form	NOUN
fis-119	116	5	assumed	assume	VERB
fis-119	116	6	for	for	ADP
fis-119	116	7	as	as	PROPN
fis-119	116	8	a	a	DET
fis-119	116	9	function	function	NOUN
fis-119	116	10	of	of	ADP
fis-119	116	11			NUM
fis-119	116	12	,	,	PUNCT
fis-119	116	13	it	it	PRON
fis-119	116	14	may	may	AUX
fis-119	116	15	happen	happen	VERB
fis-119	116	16	that	that	SCONJ
fis-119	116	17	an	an	DET
fis-119	116	18	initially	initially	ADV
fis-119	116	19	full	full	ADJ
fis-119	116	20	-	-	PUNCT
fis-119	116	21	size	size	NOUN
fis-119	116	22	solution	solution	NOUN
fis-119	116	23	localizes	localize	VERB
fis-119	116	24	for	for	ADP
fis-119	116	25	some	some	DET
fis-119	116	26			PROPN
fis-119	116	27	>	>	X
fis-119	116	28	c	c	X
fis-119	116	29	,	,	PUNCT
fis-119	116	30	and	and	CCONJ
fis-119	116	31	in	in	ADP
fis-119	116	32	some	some	DET
fis-119	116	33	cases	case	NOUN
fis-119	116	34	it	it	PRON
fis-119	116	35	may	may	AUX
fis-119	116	36	also	also	ADV
fis-119	116	37	happen	happen	VERB
fis-119	116	38	that	that	SCONJ
fis-119	116	39	a	a	DET
fis-119	116	40	localized	localized	ADJ
fis-119	116	41	solution	solution	NOUN
fis-119	116	42	becomes	become	VERB
fis-119	116	43	full	full	ADJ
fis-119	116	44	-	-	PUNCT
fis-119	116	45	size	size	NOUN
fis-119	116	46	.	.	PUNCT
fis-119	117	1	catastrophic	catastrophic	ADJ
fis-119	117	2	fracture	fracture	NOUN
fis-119	117	3	may	may	AUX
fis-119	117	4	take	take	VERB
fis-119	117	5	place	place	NOUN
fis-119	117	6	in	in	ADP
fis-119	117	7	both	both	CCONJ
fis-119	117	8	localized	localized	ADJ
fis-119	117	9	and	and	CCONJ
fis-119	117	10	full	full	ADJ
fis-119	117	11	-	-	PUNCT
fis-119	117	12	size	size	NOUN
fis-119	117	13	solutions.	solutions.	PROPN
fis-119	117	14	numerical	numerical	ADJ
fis-119	117	15	simulations	simulation	NOUN
fis-119	117	16	ith	ith	VERB
fis-119	117	17	an	an	DET
fis-119	117	18	appropriate	appropriate	ADJ
fis-119	117	19	choice	choice	NOUN
fis-119	117	20	of	of	ADP
fis-119	117	21	the	the	DET
fis-119	117	22	expression	expression	NOUN
fis-119	117	23	of	of	ADP
fis-119	117	24			PROPN
fis-119	117	25	,	,	PUNCT
fis-119	117	26	the	the	DET
fis-119	117	27	non	non	ADJ
fis-119	117	28	-	-	ADJ
fis-119	117	29	local	local	ADJ
fis-119	117	30	model	model	NOUN
fis-119	117	31	gives	give	VERB
fis-119	117	32	the	the	DET
fis-119	117	33	possibility	possibility	NOUN
fis-119	117	34	of	of	ADP
fis-119	117	35	describing	describe	VERB
fis-119	117	36	many	many	ADJ
fis-119	117	37	experimental	experimental	ADJ
fis-119	117	38	situations	situation	NOUN
fis-119	117	39	in	in	ADP
fis-119	117	40	which	which	DET
fis-119	117	41	rupture	rupture	NOUN
fis-119	117	42	is	be	AUX
fis-119	117	43	preceded	precede	VERB
fis-119	117	44	by	by	ADP
fis-119	117	45	more	more	ADJ
fis-119	117	46	or	or	CCONJ
fis-119	117	47	less	less	ADV
fis-119	117	48	extended	extended	ADJ
fis-119	117	49	regimes	regime	NOUN
fis-119	117	50	of	of	ADP
fis-119	117	51	inelastic	inelastic	ADJ
fis-119	117	52	deformation	deformation	NOUN
fis-119	117	53	,	,	PUNCT
fis-119	117	54	as	as	ADV
fis-119	117	55	well	well	ADV
fis-119	117	56	as	as	ADP
fis-119	117	57	many	many	ADJ
fis-119	117	58	intermediate	intermediate	ADJ
fis-119	117	59	situations	situation	NOUN
fis-119	117	60	between	between	ADP
fis-119	117	61	the	the	DET
fis-119	117	62	extreme	extreme	ADJ
fis-119	117	63	cases	case	NOUN
fis-119	117	64	of	of	ADP
fis-119	117	65	a	a	DET
fis-119	117	66	totally	totally	ADV
fis-119	117	67	brittle	brittle	ADJ
fis-119	117	68	and	and	CCONJ
fis-119	117	69	a	a	DET
fis-119	117	70	totally	totally	ADV
fis-119	117	71	ductile	ductile	ADJ
fis-119	117	72	response	response	NOUN
fis-119	117	73	.	.	PUNCT
fis-119	118	1	however	however	ADV
fis-119	118	2	,	,	PUNCT
fis-119	118	3	the	the	DET
fis-119	118	4	non	non	ADJ
fis-119	118	5	-	-	ADJ
fis-119	118	6	homogeneous	homogeneous	ADJ
fis-119	118	7	character	character	NOUN
fis-119	118	8	of	of	ADP
fis-119	118	9	the	the	DET
fis-119	118	10	solutions	solution	NOUN
fis-119	118	11	in	in	ADP
fis-119	118	12	the	the	DET
fis-119	118	13	non	non	ADJ
fis-119	118	14	-	-	ADJ
fis-119	118	15	local	local	ADJ
fis-119	118	16	model	model	NOUN
fis-119	118	17	makes	make	VERB
fis-119	118	18	hopeless	hopeless	ADJ
fis-119	118	19	any	any	DET
fis-119	118	20	attempt	attempt	NOUN
fis-119	118	21	of	of	ADP
fis-119	118	22	describing	describe	VERB
fis-119	118	23	the	the	DET
fis-119	118	24	evolution	evolution	NOUN
fis-119	118	25	of	of	ADP
fis-119	118	26	the	the	DET
fis-119	118	27	inelastic	inelastic	ADJ
fis-119	118	28	deformation	deformation	NOUN
fis-119	118	29	by	by	ADP
fis-119	118	30	a	a	DET
fis-119	118	31	simple	simple	ADJ
fis-119	118	32	differential	differential	NOUN
fis-119	118	33	equation	equation	NOUN
fis-119	118	34	,	,	PUNCT
fis-119	118	35	like	like	ADP
fis-119	118	36	eq	eq	NOUN
fis-119	118	37	.	.	PUNCT
fis-119	119	1	(	(	PUNCT
fis-119	119	2	15	15	NUM
fis-119	119	3	)	)	PUNCT
fis-119	119	4	in	in	ADP
fis-119	119	5	the	the	DET
fis-119	119	6	case	case	NOUN
fis-119	119	7	of	of	ADP
fis-119	119	8	the	the	DET
fis-119	119	9	local	local	ADJ
fis-119	119	10	model	model	NOUN
fis-119	119	11	.	.	PUNCT
fis-119	120	1	for	for	ADP
fis-119	120	2	this	this	DET
fis-119	120	3	reason	reason	NOUN
fis-119	120	4	,	,	PUNCT
fis-119	120	5	we	we	PRON
fis-119	120	6	made	make	VERB
fis-119	120	7	a	a	DET
fis-119	120	8	series	series	NOUN
fis-119	120	9	of	of	ADP
fis-119	120	10	numerical	numerical	ADJ
fis-119	120	11	simulations	simulation	NOUN
fis-119	120	12	.	.	PUNCT
fis-119	121	1	here	here	ADV
fis-119	121	2	we	we	PRON
fis-119	121	3	present	present	VERB
fis-119	121	4	the	the	DET
fis-119	121	5	current	current	ADJ
fis-119	121	6	status	status	NOUN
fis-119	121	7	of	of	ADP
fis-119	121	8	our	our	PRON
fis-119	121	9	study	study	NOUN
fis-119	121	10	,	,	PUNCT
fis-119	121	11	which	which	PRON
fis-119	121	12	is	be	AUX
fis-119	121	13	still	still	ADV
fis-119	121	14	in	in	ADP
fis-119	121	15	progress	progress	NOUN
fis-119	121	16	.	.	PUNCT
fis-119	122	1	the	the	DET
fis-119	122	2	purpose	purpose	NOUN
fis-119	122	3	of	of	ADP
fis-119	122	4	our	our	PRON
fis-119	122	5	simulations	simulation	NOUN
fis-119	122	6	was	be	AUX
fis-119	122	7	to	to	PART
fis-119	122	8	determine	determine	VERB
fis-119	122	9	the	the	DET
fis-119	122	10	shape	shape	NOUN
fis-119	122	11	of	of	ADP
fis-119	122	12	the	the	DET
fis-119	122	13	function	function	NOUN
fis-119	122	14			X
fis-119	122	15	giving	give	VERB
fis-119	122	16	the	the	DET
fis-119	122	17	best	good	ADJ
fis-119	122	18	reproducion	reproducion	NOUN
fis-119	122	19	of	of	ADP
fis-119	122	20	the	the	DET
fis-119	122	21	response	response	NOUN
fis-119	122	22	curves	curve	NOUN
fis-119	122	23	of	of	ADP
fis-119	122	24	two	two	NUM
fis-119	122	25	experimental	experimental	ADJ
fis-119	122	26	tests	test	NOUN
fis-119	122	27	,	,	PUNCT
fis-119	122	28	one	one	NUM
fis-119	122	29	on	on	ADP
fis-119	122	30	a	a	DET
fis-119	122	31	steel	steel	NOUN
fis-119	122	32	bar	bar	NOUN
fis-119	122	33	and	and	CCONJ
fis-119	122	34	one	one	NUM
fis-119	122	35	on	on	ADP
fis-119	122	36	a	a	DET
fis-119	122	37	concrete	concrete	ADJ
fis-119	122	38	specimen	speciman	NOUN
fis-119	122	39	.	.	PUNCT
fis-119	123	1	for	for	ADP
fis-119	123	2			PROPN
fis-119	123	3	we	we	PRON
fis-119	123	4	chose	choose	VERB
fis-119	123	5	a	a	DET
fis-119	123	6	piecewise	piecewise	NOUN
fis-119	123	7	polynomial	polynomial	ADJ
fis-119	123	8	c2	c2	PROPN
fis-119	123	9	representation	representation	NOUN
fis-119	123	10	.	.	PUNCT
fis-119	124	1	this	this	PRON
fis-119	124	2	was	be	AUX
fis-119	124	3	obtained	obtain	VERB
fis-119	124	4	by	by	ADP
fis-119	124	5	subdividing	subdivide	VERB
fis-119	124	6	the	the	DET
fis-119	124	7	domain	domain	NOUN
fis-119	124	8	{	{	PUNCT
fis-119	124	9			NUM
fis-119	124	10			NUM
fis-119	124	11	0	0	NUM
fis-119	124	12	}	}	PUNCT
fis-119	124	13	into	into	ADP
fis-119	124	14	n	n	PROPN
fis-119	124	15	intervals	interval	NOUN
fis-119	124	16	,	,	PUNCT
fis-119	124	17	in	in	SCONJ
fis-119	124	18	each	each	PRON
fis-119	124	19	of	of	ADP
fis-119	124	20	which	which	PRON
fis-119	124	21			PROPN
fis-119	124	22	was	be	AUX
fis-119	124	23	taken	take	VERB
fis-119	124	24	to	to	PART
fis-119	124	25	be	be	AUX
fis-119	124	26	a	a	DET
fis-119	124	27	third	third	ADJ
fis-119	124	28	-	-	PUNCT
fis-119	124	29	order	order	NOUN
fis-119	124	30	polynomial	polynomial	ADJ
fis-119	124	31	,	,	PUNCT
fis-119	124	32	and	and	CCONJ
fis-119	124	33	by	by	ADP
fis-119	124	34	imposing	impose	VERB
fis-119	124	35	the	the	DET
fis-119	124	36	continuity	continuity	NOUN
fis-119	124	37	of	of	ADP
fis-119	124	38	the	the	DET
fis-119	124	39	function	function	NOUN
fis-119	124	40	and	and	CCONJ
fis-119	124	41	of	of	ADP
fis-119	124	42	its	its	PRON
fis-119	124	43	first	first	ADJ
fis-119	124	44	and	and	CCONJ
fis-119	124	45	second	second	ADJ
fis-119	124	46	derivatives	derivative	NOUN
fis-119	124	47	at	at	ADP
fis-119	124	48	the	the	DET
fis-119	124	49	nodal	nodal	ADJ
fis-119	124	50	points	point	NOUN
fis-119	124	51	of	of	ADP
fis-119	124	52	the	the	DET
fis-119	124	53	subdivision	subdivision	NOUN
fis-119	124	54	.	.	PUNCT
fis-119	125	1	the	the	DET
fis-119	125	2	number	number	NOUN
fis-119	125	3	and	and	CCONJ
fis-119	125	4	position	position	NOUN
fis-119	125	5	of	of	ADP
fis-119	125	6	the	the	DET
fis-119	125	7	nodal	nodal	NOUN
fis-119	125	8	points	point	NOUN
fis-119	125	9	determine	determine	VERB
fis-119	125	10	the	the	DET
fis-119	125	11	accuracy	accuracy	NOUN
fis-119	125	12	of	of	ADP
fis-119	125	13	the	the	DET
fis-119	125	14	approximation	approximation	NOUN
fis-119	125	15	.	.	PUNCT
fis-119	126	1	the	the	DET
fis-119	126	2	advantage	advantage	NOUN
fis-119	126	3	of	of	ADP
fis-119	126	4	a	a	DET
fis-119	126	5	better	well	ADJ
fis-119	126	6	approximation	approximation	NOUN
fis-119	126	7	obtained	obtain	VERB
fis-119	126	8	with	with	ADP
fis-119	126	9	large	large	ADJ
fis-119	126	10	n	n	NOUN
fis-119	126	11	is	be	AUX
fis-119	126	12	paid	pay	VERB
fis-119	126	13	with	with	ADP
fis-119	126	14	the	the	DET
fis-119	126	15	disadvantage	disadvantage	NOUN
fis-119	126	16	of	of	ADP
fis-119	126	17	working	work	VERB
fis-119	126	18	with	with	ADP
fis-119	126	19	a	a	DET
fis-119	126	20	larger	large	ADJ
fis-119	126	21	number	number	NOUN
fis-119	126	22	of	of	ADP
fis-119	126	23	material	material	NOUN
fis-119	126	24	constants	constant	NOUN
fis-119	126	25	.	.	PUNCT
fis-119	127	1	for	for	ADP
fis-119	127	2	the	the	DET
fis-119	127	3	steel	steel	NOUN
fis-119	127	4	bar	bar	NOUN
fis-119	127	5	we	we	PRON
fis-119	127	6	made	make	VERB
fis-119	127	7	two	two	NUM
fis-119	127	8	series	series	NOUN
fis-119	127	9	of	of	ADP
fis-119	127	10	simulations	simulation	NOUN
fis-119	127	11	,	,	PUNCT
fis-119	127	12	one	one	NUM
fis-119	127	13	with	with	ADP
fis-119	127	14	n	n	NOUN
fis-119	127	15	=	=	SYM
fis-119	127	16	3	3	NUM
fis-119	127	17	and	and	CCONJ
fis-119	127	18	one	one	NUM
fis-119	127	19	with	with	ADP
fis-119	127	20	n	n	NOUN
fis-119	127	21	=	=	SYM
fis-119	127	22	6	6	NUM
fis-119	127	23	.	.	PUNCT
fis-119	128	1	the	the	DET
fis-119	128	2	results	result	NOUN
fis-119	128	3	of	of	ADP
fis-119	128	4	the	the	DET
fis-119	128	5	first	first	ADJ
fis-119	128	6	series	series	NOUN
fis-119	128	7	are	be	AUX
fis-119	128	8	shown	show	VERB
fis-119	128	9	in	in	ADP
fis-119	128	10	fig	fig	NOUN
fis-119	128	11	.	.	PUNCT
fis-119	129	1	2	2	X
fis-119	129	2	.	.	X
fis-119	129	3	in	in	ADP
fis-119	129	4	it	it	PRON
fis-119	129	5	,	,	PUNCT
fis-119	129	6	we	we	PRON
fis-119	129	7	see	see	VERB
fis-119	129	8	the	the	DET
fis-119	129	9	response	response	NOUN
fis-119	129	10	curves	curve	NOUN
fis-119	129	11	obtained	obtain	VERB
fis-119	129	12	numerically	numerically	ADV
fis-119	129	13	for	for	ADP
fis-119	129	14	a	a	DET
fis-119	129	15	bar	bar	NOUN
fis-119	129	16	length	length	NOUN
fis-119	129	17	l	l	NOUN
fis-119	129	18	equal	equal	ADJ
fis-119	129	19	to	to	ADP
fis-119	129	20	40	40	NUM
fis-119	129	21	,	,	PUNCT
fis-119	129	22	80	80	NUM
fis-119	129	23	,	,	PUNCT
fis-119	129	24	160	160	NUM
fis-119	129	25	mm	mm	NOUN
fis-119	129	26	.	.	PUNCT
fis-119	130	1	they	they	PRON
fis-119	130	2	show	show	VERB
fis-119	130	3	that	that	SCONJ
fis-119	130	4	a	a	DET
fis-119	130	5	short	short	ADJ
fis-119	130	6	bar	bar	NOUN
fis-119	130	7	is	be	AUX
fis-119	130	8	more	more	ADV
fis-119	130	9	ductile	ductile	NOUN
fis-119	130	10	than	than	ADP
fis-119	130	11	a	a	DET
fis-119	130	12	long	long	ADJ
fis-119	130	13	bar	bar	NOUN
fis-119	130	14	,	,	PUNCT
fis-119	130	15	since	since	SCONJ
fis-119	130	16	for	for	ADP
fis-119	130	17	short	short	ADJ
fis-119	130	18	bars	bar	NOUN
fis-119	130	19	catastrophic	catastrophic	ADJ
fis-119	130	20	failure	failure	NOUN
fis-119	130	21	takes	take	VERB
fis-119	130	22	place	place	NOUN
fis-119	130	23	for	for	ADP
fis-119	130	24	larger	large	ADJ
fis-119	130	25	.	.	ADP
fis-119	131	1	this	this	PRON
fis-119	131	2	is	be	AUX
fis-119	131	3	a	a	DET
fis-119	131	4	manifestation	manifestation	NOUN
fis-119	131	5	of	of	ADP
fis-119	131	6	the	the	DET
fis-119	131	7	size	size	NOUN
fis-119	131	8	effect	effect	NOUN
fis-119	131	9	.	.	PUNCT
fis-119	132	1	in	in	ADP
fis-119	132	2	the	the	DET
fis-119	132	3	same	same	ADJ
fis-119	132	4	figure	figure	NOUN
fis-119	132	5	,	,	PUNCT
fis-119	132	6	the	the	DET
fis-119	132	7	curve	curve	NOUN
fis-119	132	8	for	for	ADP
fis-119	132	9	l	l	NOUN
fis-119	132	10	=	=	SYM
fis-119	132	11	80	80	NUM
fis-119	132	12	mm	mm	NOUN
fis-119	132	13	is	be	AUX
fis-119	132	14	compared	compare	VERB
fis-119	132	15	with	with	ADP
fis-119	132	16	the	the	DET
fis-119	132	17	experimental	experimental	ADJ
fis-119	132	18	curve	curve	NOUN
fis-119	132	19	,	,	PUNCT
fis-119	132	20	represented	represent	VERB
fis-119	132	21	by	by	ADP
fis-119	132	22	the	the	DET
fis-119	132	23	dotted	dotted	ADJ
fis-119	132	24	line	line	NOUN
fis-119	132	25	,	,	PUNCT
fis-119	132	26	for	for	ADP
fis-119	132	27	a	a	DET
fis-119	132	28	bar	bar	NOUN
fis-119	132	29	of	of	ADP
fis-119	132	30	the	the	DET
fis-119	132	31	same	same	ADJ
fis-119	132	32	length	length	NOUN
fis-119	132	33	.	.	PUNCT
fis-119	133	1	we	we	PRON
fis-119	133	2	see	see	VERB
fis-119	133	3	a	a	DET
fis-119	133	4	very	very	ADV
fis-119	133	5	good	good	ADJ
fis-119	133	6	agreement	agreement	NOUN
fis-119	133	7	,	,	PUNCT
fis-119	133	8	except	except	SCONJ
fis-119	133	9	for	for	ADP
fis-119	133	10	the	the	DET
fis-119	133	11	initial	initial	ADJ
fis-119	133	12	horizontal	horizontal	ADJ
fis-119	133	13	plateau	plateau	NOUN
fis-119	133	14	exhibited	exhibit	VERB
fis-119	133	15	by	by	ADP
fis-119	133	16	the	the	DET
fis-119	133	17	experimental	experimental	ADJ
fis-119	133	18	curve	curve	NOUN
fis-119	133	19	and	and	CCONJ
fis-119	133	20	not	not	PART
fis-119	133	21	reproduced	reproduce	VERB
fis-119	133	22	in	in	ADP
fis-119	133	23	the	the	DET
fis-119	133	24	simulation	simulation	NOUN
fis-119	133	25	.	.	PUNCT
fis-119	134	1	the	the	DET
fis-119	134	2	second	second	ADJ
fis-119	134	3	series	series	NOUN
fis-119	134	4	of	of	ADP
fis-119	134	5	simulations	simulation	NOUN
fis-119	134	6	was	be	AUX
fis-119	134	7	done	do	VERB
fis-119	134	8	with	with	ADP
fis-119	134	9	the	the	DET
fis-119	134	10	purpose	purpose	NOUN
fis-119	134	11	of	of	ADP
fis-119	134	12	eliminating	eliminate	VERB
fis-119	134	13	this	this	DET
fis-119	134	14	discrepancy	discrepancy	NOUN
fis-119	134	15	,	,	PUNCT
fis-119	134	16	by	by	ADP
fis-119	134	17	increasing	increase	VERB
fis-119	134	18	the	the	DET
fis-119	134	19	number	number	NOUN
fis-119	134	20	n	n	NOUN
fis-119	134	21	of	of	ADP
fis-119	134	22	parameters	parameter	NOUN
fis-119	134	23	.	.	PUNCT
fis-119	135	1	the	the	DET
fis-119	135	2	result	result	NOUN
fis-119	135	3	is	be	AUX
fis-119	135	4	shown	show	VERB
fis-119	135	5	in	in	ADP
fis-119	135	6	fig	fig	NOUN
fis-119	135	7	.	.	PUNCT
fis-119	136	1	3	3	NUM
fis-119	136	2	,	,	PUNCT
fis-119	136	3	where	where	SCONJ
fis-119	136	4	we	we	PRON
fis-119	136	5	see	see	VERB
fis-119	136	6	an	an	DET
fis-119	136	7	almost	almost	ADV
fis-119	136	8	perfect	perfect	ADJ
fis-119	136	9	agreement	agreement	NOUN
fis-119	136	10	between	between	ADP
fis-119	136	11	experiment	experiment	NOUN
fis-119	136	12	and	and	CCONJ
fis-119	136	13	simulation.	simulation.	PROPN
fis-119	136	14	w	w	PROPN
fis-119	136	15	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	136	16	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	136	17	g.	g.	PROPN
fis-119	136	18	del	del	PROPN
fis-119	136	19	piero	piero	PROPN
fis-119	136	20	et	et	PROPN
fis-119	136	21	alii	alii	PROPN
fis-119	136	22	,	,	PUNCT
fis-119	136	23	frattura	frattura	PROPN
fis-119	136	24	ed	ed	PROPN
fis-119	136	25	integrità	integrità	PROPN
fis-119	136	26	strutturale	strutturale	PROPN
fis-119	136	27	,	,	PUNCT
fis-119	136	28	18	18	NUM
fis-119	136	29	(	(	PUNCT
fis-119	136	30	2011	2011	NUM
fis-119	136	31	)	)	PUNCT
fis-119	136	32	5	5	NUM
fis-119	136	33	-	-	SYM
fis-119	136	34	13	13	NUM
fis-119	136	35	;	;	PUNCT
fis-119	136	36	doi	doi	NOUN
fis-119	136	37	:	:	PUNCT
fis-119	136	38	10.3221	10.3221	NUM
fis-119	136	39	/	/	SYM
fis-119	136	40	igf	igf	PROPN
fis-119	136	41	-	-	ADJ
fis-119	136	42	esis.18.01	esis.18.01	PROPN
fis-119	136	43	11	11	NUM
fis-119	136	44			NOUN
fis-119	136	45	figure	figure	NOUN
fis-119	136	46	2	2	NUM
fis-119	136	47	:	:	PUNCT
fis-119	136	48	response	response	NOUN
fis-119	136	49	curves	curve	NOUN
fis-119	136	50	for	for	ADP
fis-119	136	51	a	a	DET
fis-119	136	52	steel	steel	NOUN
fis-119	136	53	bar	bar	NOUN
fis-119	136	54	in	in	ADP
fis-119	136	55	numerical	numerical	ADJ
fis-119	136	56	simulations	simulation	NOUN
fis-119	136	57	with	with	ADP
fis-119	136	58	n	n	NOUN
fis-119	136	59	=	=	SYM
fis-119	136	60	3	3	NUM
fis-119	136	61	and	and	CCONJ
fis-119	136	62	different	different	ADJ
fis-119	136	63	values	value	NOUN
fis-119	136	64	of	of	ADP
fis-119	136	65	l	l	NOUN
fis-119	136	66	,	,	PUNCT
fis-119	136	67	and	and	CCONJ
fis-119	136	68	experimental	experimental	ADJ
fis-119	136	69	response	response	NOUN
fis-119	136	70	curve	curve	NOUN
fis-119	136	71	(	(	PUNCT
fis-119	136	72	the	the	DET
fis-119	136	73	dotted	dotted	ADJ
fis-119	136	74	line	line	NOUN
fis-119	136	75	)	)	PUNCT
fis-119	136	76	for	for	ADP
fis-119	136	77	l	l	NOUN
fis-119	136	78	=	=	SYM
fis-119	136	79	80	80	NUM
fis-119	136	80	mm	mm	NOUN
fis-119	136	81	.	.	PUNCT
fis-119	137	1			PROPN
fis-119	137	2			PUNCT
fis-119	137	3	figure	figure	VERB
fis-119	137	4	3	3	NUM
fis-119	137	5	:	:	PUNCT
fis-119	137	6	force	force	NOUN
fis-119	137	7	-	-	PUNCT
fis-119	137	8	elongation	elongation	NOUN
fis-119	137	9	response	response	NOUN
fis-119	137	10	curve	curve	NOUN
fis-119	137	11	for	for	ADP
fis-119	137	12	a	a	DET
fis-119	137	13	steel	steel	NOUN
fis-119	137	14	bar	bar	NOUN
fis-119	137	15	in	in	ADP
fis-119	137	16	a	a	DET
fis-119	137	17	numerical	numerical	ADJ
fis-119	137	18	simulation	simulation	NOUN
fis-119	137	19	with	with	ADP
fis-119	137	20	n	n	PROPN
fis-119	137	21	=	=	SYM
fis-119	137	22	6	6	NUM
fis-119	137	23	and	and	CCONJ
fis-119	137	24	l	l	NOUN
fis-119	137	25	=	=	SYM
fis-119	137	26	80	80	NUM
fis-119	137	27	mm	mm	NUM
fis-119	137	28	,	,	PUNCT
fis-119	137	29	compared	compare	VERB
fis-119	137	30	with	with	ADP
fis-119	137	31	the	the	DET
fis-119	137	32	experimental	experimental	ADJ
fis-119	137	33	response	response	NOUN
fis-119	137	34	curve	curve	NOUN
fis-119	137	35	(	(	PUNCT
fis-119	137	36	the	the	DET
fis-119	137	37	dotted	dotted	ADJ
fis-119	137	38	line	line	NOUN
fis-119	137	39	)	)	PUNCT
fis-119	137	40	(	(	PUNCT
fis-119	137	41	a	a	X
fis-119	137	42	)	)	PUNCT
fis-119	137	43	.	.	PUNCT
fis-119	138	1	detail	detail	NOUN
fis-119	138	2	of	of	ADP
fis-119	138	3	the	the	DET
fis-119	138	4	plateau	plateau	NOUN
fis-119	138	5	at	at	ADP
fis-119	138	6	the	the	DET
fis-119	138	7	onset	onset	NOUN
fis-119	138	8	of	of	ADP
fis-119	138	9	the	the	DET
fis-119	138	10	inelastic	inelastic	ADJ
fis-119	138	11	regime	regime	NOUN
fis-119	138	12	(	(	PUNCT
fis-119	138	13	b	b	NOUN
fis-119	138	14	)	)	PUNCT
fis-119	138	15	for	for	ADP
fis-119	138	16	the	the	DET
fis-119	138	17	concrete	concrete	ADJ
fis-119	138	18	specimen	speciman	NOUN
fis-119	138	19	,	,	PUNCT
fis-119	138	20	at	at	ADP
fis-119	138	21	present	present	ADJ
fis-119	138	22	the	the	DET
fis-119	138	23	simulations	simulation	NOUN
fis-119	138	24	are	be	AUX
fis-119	138	25	still	still	ADV
fis-119	138	26	in	in	ADP
fis-119	138	27	progress	progress	NOUN
fis-119	138	28	.	.	PUNCT
fis-119	139	1	a	a	DET
fis-119	139	2	first	first	ADJ
fis-119	139	3	result	result	NOUN
fis-119	139	4	is	be	AUX
fis-119	139	5	shown	show	VERB
fis-119	139	6	in	in	ADP
fis-119	139	7	fig	fig	NOUN
fis-119	139	8	.	.	PUNCT
fis-119	140	1	4	4	X
fis-119	140	2	.	.	X
fis-119	140	3	while	while	SCONJ
fis-119	140	4	the	the	DET
fis-119	140	5	general	general	ADJ
fis-119	140	6	trend	trend	NOUN
fis-119	140	7	of	of	ADP
fis-119	140	8	the	the	DET
fis-119	140	9	response	response	NOUN
fis-119	140	10	is	be	AUX
fis-119	140	11	well	well	ADV
fis-119	140	12	reproduced	reproduce	VERB
fis-119	140	13	,	,	PUNCT
fis-119	140	14	just	just	ADV
fis-119	140	15	after	after	SCONJ
fis-119	140	16	the	the	DET
fis-119	140	17	onset	onset	NOUN
fis-119	140	18	of	of	ADP
fis-119	140	19	the	the	DET
fis-119	140	20	inelastic	inelastic	ADJ
fis-119	140	21	deformation	deformation	NOUN
fis-119	140	22	a	a	DET
fis-119	140	23	sharp	sharp	ADJ
fis-119	140	24	change	change	NOUN
fis-119	140	25	of	of	ADP
fis-119	140	26	the	the	DET
fis-119	140	27	slope	slope	NOUN
fis-119	140	28	occurs	occur	VERB
fis-119	140	29	in	in	ADP
fis-119	140	30	the	the	DET
fis-119	140	31	simulation	simulation	NOUN
fis-119	140	32	but	but	CCONJ
fis-119	140	33	not	not	PART
fis-119	140	34	in	in	ADP
fis-119	140	35	the	the	DET
fis-119	140	36	experiment	experiment	NOUN
fis-119	140	37	.	.	PUNCT
fis-119	141	1	a	a	DET
fis-119	141	2	larger	large	ADJ
fis-119	141	3	n	n	NOUN
fis-119	141	4	is	be	AUX
fis-119	141	5	probably	probably	ADV
fis-119	141	6	necessary	necessary	ADJ
fis-119	141	7	to	to	PART
fis-119	141	8	eliminate	eliminate	VERB
fis-119	141	9	this	this	DET
fis-119	141	10	discrepancy	discrepancy	NOUN
fis-119	141	11	.	.	PUNCT
fis-119	142	1	the	the	DET
fis-119	142	2	distribution	distribution	NOUN
fis-119	142	3	of	of	ADP
fis-119	142	4	the	the	DET
fis-119	142	5	inelastic	inelastic	ADJ
fis-119	142	6	deformation	deformation	NOUN
fis-119	142	7	(x	(x	PUNCT
fis-119	142	8	)	)	PUNCT
fis-119	142	9	along	along	ADP
fis-119	142	10	the	the	DET
fis-119	142	11	bar	bar	NOUN
fis-119	142	12	’s	’s	PART
fis-119	142	13	axis	axis	NOUN
fis-119	142	14	is	be	AUX
fis-119	142	15	shown	show	VERB
fis-119	142	16	in	in	ADP
fis-119	142	17	fig	fig	NOUN
fis-119	142	18	.	.	PUNCT
fis-119	143	1	5	5	NUM
fis-119	143	2	for	for	ADP
fis-119	143	3	different	different	ADJ
fis-119	143	4	values	value	NOUN
fis-119	143	5	of	of	ADP
fis-119	143	6	.	.	NOUN
fis-119	143	7	the	the	DET
fis-119	143	8	resemblance	resemblance	NOUN
fis-119	143	9	with	with	ADP
fis-119	143	10	the	the	DET
fis-119	143	11	measurements	measurement	NOUN
fis-119	143	12	by	by	ADP
fis-119	143	13	miklowitz	miklowitz	NOUN
fis-119	143	14	made	make	VERB
fis-119	143	15	many	many	ADJ
fis-119	143	16	decades	decade	NOUN
fis-119	143	17	ago	ago	ADV
fis-119	143	18	[	[	X
fis-119	143	19	11	11	NUM
fis-119	143	20	]	]	PUNCT
fis-119	143	21	,	,	PUNCT
fis-119	143	22	is	be	AUX
fis-119	143	23	impressive	impressive	ADJ
fis-119	143	24	.	.	PUNCT
fis-119	144	1	both	both	DET
fis-119	144	2	diagrams	diagram	NOUN
fis-119	144	3	show	show	VERB
fis-119	144	4	a	a	DET
fis-119	144	5	progressive	progressive	ADJ
fis-119	144	6	concentration	concentration	NOUN
fis-119	144	7	of	of	ADP
fis-119	144	8	inelastic	inelastic	ADJ
fis-119	144	9	deformation	deformation	NOUN
fis-119	144	10	at	at	ADP
fis-119	144	11	the	the	DET
fis-119	144	12	central	central	ADJ
fis-119	144	13	zone	zone	NOUN
fis-119	144	14	of	of	ADP
fis-119	144	15	the	the	DET
fis-119	144	16	bar	bar	NOUN
fis-119	144	17	.	.	PUNCT
fis-119	145	1	if	if	SCONJ
fis-119	145	2	we	we	PRON
fis-119	145	3	imagine	imagine	VERB
fis-119	145	4	that	that	SCONJ
fis-119	145	5	,	,	PUNCT
fis-119	145	6	by	by	ADP
fis-119	145	7	a	a	DET
fis-119	145	8	sort	sort	NOUN
fis-119	145	9	of	of	ADP
fis-119	145	10	poisson	poisson	NOUN
fis-119	145	11	effect	effect	NOUN
fis-119	145	12	,	,	PUNCT
fis-119	145	13	axial	axial	ADJ
fis-119	145	14	elongation	elongation	NOUN
fis-119	145	15	is	be	AUX
fis-119	145	16	accompanied	accompany	VERB
fis-119	145	17	by	by	ADP
fis-119	145	18	a	a	DET
fis-119	145	19	proportional	proportional	ADJ
fis-119	145	20	transversal	transversal	NOUN
fis-119	145	21	contraction	contraction	NOUN
fis-119	145	22	,	,	PUNCT
fis-119	145	23	we	we	PRON
fis-119	145	24	have	have	VERB
fis-119	145	25	that	that	SCONJ
fis-119	145	26	a	a	DET
fis-119	145	27	concentration	concentration	NOUN
fis-119	145	28	of	of	ADP
fis-119	145	29	axial	axial	ADJ
fis-119	145	30	deformation	deformation	NOUN
fis-119	145	31	is	be	AUX
fis-119	145	32	accompanied	accompany	VERB
fis-119	145	33	by	by	ADP
fis-119	145	34	the	the	DET
fis-119	145	35	necking	necking	NOUN
fis-119	145	36	of	of	ADP
fis-119	145	37	the	the	DET
fis-119	145	38	cross	cross	NOUN
fis-119	145	39	section	section	NOUN
fis-119	145	40	.	.	PUNCT
fis-119	146	1	therefore	therefore	ADV
fis-119	146	2	,	,	PUNCT
fis-119	146	3	the	the	DET
fis-119	146	4	proposed	propose	VERB
fis-119	146	5	model	model	NOUN
fis-119	146	6	provides	provide	VERB
fis-119	146	7	a	a	DET
fis-119	146	8	good	good	ADJ
fis-119	146	9	description	description	NOUN
fis-119	146	10	of	of	ADP
fis-119	146	11	the	the	DET
fis-119	146	12	phenomenon	phenomenon	NOUN
fis-119	146	13	of	of	ADP
fis-119	146	14	necking	neck	VERB
fis-119	146	15	observed	observe	VERB
fis-119	146	16	in	in	ADP
fis-119	146	17	bars	bar	NOUN
fis-119	146	18	subjected	subject	VERB
fis-119	146	19	to	to	ADP
fis-119	146	20	a	a	DET
fis-119	146	21	tensile	tensile	NOUN
fis-119	146	22	load	load	NOUN
fis-119	146	23	.	.	PUNCT
fis-119	147	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	147	2	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	147	3	g.	g.	PROPN
fis-119	147	4	del	del	PROPN
fis-119	147	5	piero	piero	PROPN
fis-119	147	6	et	et	PROPN
fis-119	147	7	alii	alii	PROPN
fis-119	147	8	,	,	PUNCT
fis-119	147	9	frattura	frattura	PROPN
fis-119	147	10	ed	ed	PROPN
fis-119	147	11	integrità	integrità	PROPN
fis-119	147	12	strutturale	strutturale	PROPN
fis-119	147	13	,	,	PUNCT
fis-119	147	14	18	18	NUM
fis-119	147	15	(	(	PUNCT
fis-119	147	16	2011	2011	NUM
fis-119	147	17	)	)	PUNCT
fis-119	147	18	5	5	NUM
fis-119	147	19	-	-	SYM
fis-119	147	20	13	13	NUM
fis-119	147	21	;	;	PUNCT
fis-119	147	22	doi	doi	NOUN
fis-119	147	23	:	:	PUNCT
fis-119	147	24	10.3221	10.3221	NUM
fis-119	147	25	/	/	SYM
fis-119	147	26	igf	igf	PROPN
fis-119	147	27	-	-	NOUN
fis-119	147	28	esis.18.01	esis.18.01	PROPN
fis-119	147	29	12	12	NUM
fis-119	147	30			NOUN
fis-119	147	31	figure	figure	NOUN
fis-119	147	32	4	4	NUM
fis-119	147	33	:	:	PUNCT
fis-119	147	34	force	force	NOUN
fis-119	147	35	-	-	PUNCT
fis-119	147	36	elongation	elongation	NOUN
fis-119	147	37	response	response	NOUN
fis-119	147	38	curve	curve	NOUN
fis-119	147	39	for	for	ADP
fis-119	147	40	a	a	DET
fis-119	147	41	concrete	concrete	ADJ
fis-119	147	42	specimen	speciman	NOUN
fis-119	147	43	in	in	ADP
fis-119	147	44	a	a	DET
fis-119	147	45	numerical	numerical	ADJ
fis-119	147	46	simulation	simulation	NOUN
fis-119	147	47	with	with	ADP
fis-119	147	48	n	n	NOUN
fis-119	147	49	=	=	SYM
fis-119	147	50	4	4	NUM
fis-119	147	51	compared	compare	VERB
fis-119	147	52	with	with	ADP
fis-119	147	53	the	the	DET
fis-119	147	54	experimental	experimental	ADJ
fis-119	147	55	curve	curve	NOUN
fis-119	147	56	(	(	PUNCT
fis-119	147	57	the	the	DET
fis-119	147	58	dotted	dotted	ADJ
fis-119	147	59	line	line	NOUN
fis-119	147	60	)	)	PUNCT
fis-119	147	61			AUX
fis-119	147	62	figure	figure	VERB
fis-119	147	63	5	5	NUM
fis-119	147	64	:	:	PUNCT
fis-119	147	65	the	the	DET
fis-119	147	66	inelastic	inelastic	ADJ
fis-119	147	67	deformation	deformation	NOUN
fis-119	147	68			NUM
fis-119	147	69	as	as	ADP
fis-119	147	70	a	a	DET
fis-119	147	71	function	function	NOUN
fis-119	147	72	of	of	ADP
fis-119	147	73	x	x	PRON
fis-119	147	74	,	,	PUNCT
fis-119	147	75	for	for	ADP
fis-119	147	76	different	different	ADJ
fis-119	147	77	values	value	NOUN
fis-119	147	78	of	of	ADP
fis-119	147	79	the	the	DET
fis-119	147	80	total	total	ADJ
fis-119	147	81	elongation	elongation	NOUN
fis-119	147	82	.	.	ADP
fis-119	147	83	the	the	DET
fis-119	147	84	first	first	ADJ
fis-119	147	85	diagram	diagram	NOUN
fis-119	147	86	shows	show	VERB
fis-119	147	87	the	the	DET
fis-119	147	88	results	result	NOUN
fis-119	147	89	of	of	ADP
fis-119	147	90	the	the	DET
fis-119	147	91	numerical	numerical	ADJ
fis-119	147	92	simulations	simulation	NOUN
fis-119	147	93	,	,	PUNCT
fis-119	147	94	and	and	CCONJ
fis-119	147	95	the	the	DET
fis-119	147	96	second	second	NOUN
fis-119	147	97	shows	show	VERB
fis-119	147	98	the	the	DET
fis-119	147	99	experimental	experimental	ADJ
fis-119	147	100	measurements	measurement	NOUN
fis-119	147	101	reported	report	VERB
fis-119	147	102	in	in	ADP
fis-119	147	103	[	[	X
fis-119	147	104	11	11	NUM
fis-119	147	105	]	]	PUNCT
fis-119	147	106	.	.	PUNCT
fis-119	148	1	references	reference	NOUN
fis-119	148	2	[	[	X
fis-119	148	3	1	1	NUM
fis-119	148	4	]	]	X
fis-119	148	5	g.	g.	PROPN
fis-119	148	6	del	del	PROPN
fis-119	148	7	piero	piero	PROPN
fis-119	148	8	,	,	PUNCT
fis-119	148	9	g.	g.	PROPN
fis-119	148	10	lancioni	lancioni	PROPN
fis-119	148	11	,	,	PUNCT
fis-119	148	12	r.	r.	PROPN
fis-119	148	13	march	march	PROPN
fis-119	148	14	,	,	PUNCT
fis-119	148	15	a	a	DET
fis-119	148	16	diffuse	diffuse	NOUN
fis-119	148	17	cohesive	cohesive	ADJ
fis-119	148	18	energy	energy	NOUN
fis-119	148	19	approach	approach	NOUN
fis-119	148	20	to	to	ADP
fis-119	148	21	fracture	fracture	NOUN
fis-119	148	22	and	and	CCONJ
fis-119	148	23	plasticity	plasticity	NOUN
fis-119	148	24	:	:	PUNCT
fis-119	148	25	the	the	DET
fis-119	148	26	onedimensional	onedimensional	ADJ
fis-119	148	27	case	case	NOUN
fis-119	148	28	.	.	PUNCT
fis-119	149	1	in	in	ADP
fis-119	149	2	preparation	preparation	NOUN
fis-119	149	3	(	(	PUNCT
fis-119	149	4	2011	2011	NUM
fis-119	149	5	)	)	PUNCT
fis-119	149	6	.	.	PUNCT
fis-119	150	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	150	2	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	PROPN
fis-119	150	3	g.	g.	PROPN
fis-119	150	4	del	del	PROPN
fis-119	150	5	piero	piero	PROPN
fis-119	150	6	et	et	PROPN
fis-119	150	7	alii	alii	PROPN
fis-119	150	8	,	,	PUNCT
fis-119	150	9	frattura	frattura	PROPN
fis-119	150	10	ed	ed	PROPN
fis-119	150	11	integrità	integrità	PROPN
fis-119	150	12	strutturale	strutturale	PROPN
fis-119	150	13	,	,	PUNCT
fis-119	150	14	18	18	NUM
fis-119	150	15	(	(	PUNCT
fis-119	150	16	2011	2011	NUM
fis-119	150	17	)	)	PUNCT
fis-119	150	18	5	5	NUM
fis-119	150	19	-	-	SYM
fis-119	150	20	13	13	NUM
fis-119	150	21	;	;	PUNCT
fis-119	150	22	doi	doi	NOUN
fis-119	150	23	:	:	PUNCT
fis-119	150	24	10.3221	10.3221	NUM
fis-119	150	25	/	/	SYM
fis-119	150	26	igf	igf	PROPN
fis-119	150	27	-	-	NOUN
fis-119	150	28	esis.18.01	esis.18.01	PROPN
fis-119	150	29	13	13	NUM
fis-119	150	30	[	[	X
fis-119	150	31	2	2	NUM
fis-119	150	32	]	]	SYM
fis-119	150	33	a.a	a.a	PROPN
fis-119	150	34	.	.	PROPN
fis-119	150	35	griffith	griffith	PROPN
fis-119	150	36	,	,	PUNCT
fis-119	150	37	phil	phil	PROPN
fis-119	150	38	.	.	PUNCT
fis-119	151	1	trans	trans	PROPN
fis-119	151	2	.	.	PROPN
fis-119	152	1	roy	roy	PROPN
fis-119	152	2	.	.	PROPN
fis-119	152	3	soc	soc	PROPN
fis-119	152	4	.	.	PUNCT
fis-119	153	1	a221	a221	PROPN
fis-119	153	2	,	,	PUNCT
fis-119	153	3	163	163	NUM
fis-119	153	4	-	-	SYM
fis-119	153	5	198	198	NUM
fis-119	153	6	(	(	PUNCT
fis-119	153	7	1920	1920	NUM
fis-119	153	8	)	)	PUNCT
fis-119	153	9	.	.	PUNCT
fis-119	154	1	[	[	X
fis-119	154	2	3	3	X
fis-119	154	3	]	]	X
fis-119	154	4	d.	d.	PROPN
fis-119	154	5	dugdale	dugdale	PROPN
fis-119	154	6	,	,	PUNCT
fis-119	154	7	j.	j.	PROPN
fis-119	154	8	mech	mech	PROPN
fis-119	154	9	.	.	PUNCT
fis-119	155	1	phys	phy	NOUN
fis-119	155	2	.	.	PUNCT
fis-119	156	1	solids	solid	NOUN
fis-119	156	2	,	,	PUNCT
fis-119	156	3	8	8	NUM
fis-119	156	4	(	(	PUNCT
fis-119	156	5	1960)100	1960)100	PROPN
fis-119	156	6	.	.	PUNCT
fis-119	157	1	[	[	X
fis-119	157	2	4	4	X
fis-119	157	3	]	]	X
fis-119	157	4	g.i	g.i	PROPN
fis-119	157	5	.	.	PROPN
fis-119	157	6	barenblatt	barenblatt	PROPN
fis-119	157	7	,	,	PUNCT
fis-119	157	8	adv	adv	PROPN
fis-119	157	9	.	.	PUNCT
fis-119	157	10	appl	appl	PROPN
fis-119	157	11	.	.	PROPN
fis-119	157	12	mech	mech	PROPN
fis-119	157	13	.	.	PUNCT
fis-119	158	1	,	,	PUNCT
fis-119	158	2	7	7	NUM
fis-119	158	3	(	(	PUNCT
fis-119	158	4	1962	1962	NUM
fis-119	158	5	)	)	PUNCT
fis-119	158	6	55	55	NUM
fis-119	158	7	.	.	PUNCT
fis-119	159	1	[	[	X
fis-119	159	2	5	5	NUM
fis-119	159	3	]	]	X
fis-119	159	4	g.a	g.a	PROPN
fis-119	159	5	.	.	PROPN
fis-119	159	6	francfort	francfort	PROPN
fis-119	159	7	,	,	PUNCT
fis-119	159	8	j.-j	j.-j	PROPN
fis-119	159	9	.	.	PUNCT
fis-119	159	10	marigo	marigo	PROPN
fis-119	159	11	,	,	PUNCT
fis-119	159	12	j.	j.	PROPN
fis-119	159	13	mech	mech	PROPN
fis-119	159	14	phys	phys	PROPN
fis-119	159	15	.	.	PUNCT
fis-119	160	1	solids	solid	NOUN
fis-119	160	2	,	,	PUNCT
fis-119	160	3	46	46	NUM
fis-119	160	4	(	(	PUNCT
fis-119	160	5	1998	1998	NUM
fis-119	160	6	)	)	PUNCT
fis-119	160	7	1319	1319	NUM
fis-119	160	8	.	.	PUNCT
fis-119	161	1	[	[	X
fis-119	161	2	6	6	NUM
fis-119	161	3	]	]	PUNCT
fis-119	161	4	j.-j	j.-j	PROPN
fis-119	161	5	.	.	PUNCT
fis-119	161	6	marigo	marigo	PROPN
fis-119	161	7	,	,	PUNCT
fis-119	161	8	l.	l.	PROPN
fis-119	161	9	truskinovsky	truskinovsky	PROPN
fis-119	161	10	,	,	PUNCT
fis-119	161	11	cont	cont	PROPN
fis-119	161	12	.	.	PUNCT
fis-119	161	13	mech	mech	PROPN
fis-119	161	14	.	.	PUNCT
fis-119	162	1	thermodyn	thermodyn	NOUN
fis-119	162	2	,	,	PUNCT
fis-119	162	3	16	16	NUM
fis-119	162	4	(	(	PUNCT
fis-119	162	5	2004	2004	NUM
fis-119	162	6	)	)	PUNCT
fis-119	162	7	391	391	NUM
fis-119	162	8	.	.	PUNCT
fis-119	163	1	[	[	X
fis-119	163	2	7	7	X
fis-119	163	3	]	]	X
fis-119	163	4	m.	m.	NOUN
fis-119	163	5	charlotte	charlotte	PROPN
fis-119	163	6	,	,	PUNCT
fis-119	163	7	j.	j.	PROPN
fis-119	163	8	laverne	laverne	PROPN
fis-119	163	9	,	,	PUNCT
fis-119	163	10	j.-j	j.-j	PROPN
fis-119	163	11	.	.	PUNCT
fis-119	164	1	marigo	marigo	PROPN
fis-119	164	2	,	,	PUNCT
fis-119	164	3	eur	eur	PROPN
fis-119	164	4	.	.	PUNCT
fis-119	165	1	j.	j.	PROPN
fis-119	165	2	mech	mech	PROPN
fis-119	165	3	.	.	PROPN
fis-119	165	4	,	,	PUNCT
fis-119	165	5	a/25	a/25	PROPN
fis-119	165	6	(	(	PUNCT
fis-119	165	7	2006	2006	NUM
fis-119	165	8	)	)	PUNCT
fis-119	165	9	649	649	NUM
fis-119	165	10	.	.	PUNCT
fis-119	166	1	[	[	X
fis-119	166	2	8	8	NUM
fis-119	166	3	]	]	X
fis-119	166	4	g.	g.	PROPN
fis-119	166	5	del	del	PROPN
fis-119	166	6	piero	piero	PROPN
fis-119	166	7	,	,	PUNCT
fis-119	166	8	l.	l.	PROPN
fis-119	166	9	truskinovsky	truskinovsky	PROPN
fis-119	166	10	,	,	PUNCT
fis-119	166	11	cont	cont	PROPN
fis-119	166	12	.	.	PUNCT
fis-119	166	13	mech	mech	PROPN
fis-119	166	14	.	.	PUNCT
fis-119	167	1	thermodynamics	thermodynamic	NOUN
fis-119	167	2	,	,	PUNCT
fis-119	167	3	21	21	NUM
fis-119	167	4	(	(	PUNCT
fis-119	167	5	2009	2009	NUM
fis-119	167	6	)	)	PUNCT
fis-119	167	7	141	141	NUM
fis-119	167	8	.	.	PUNCT
fis-119	168	1	[	[	X
fis-119	168	2	9	9	NUM
fis-119	168	3	]	]	X
fis-119	168	4	l.	l.	PROPN
fis-119	168	5	freddi	freddi	PROPN
fis-119	168	6	,	,	PUNCT
fis-119	168	7	g.	g.	PROPN
fis-119	168	8	royer	royer	PROPN
fis-119	168	9	-	-	PUNCT
fis-119	168	10	carfagni	carfagni	PROPN
fis-119	168	11	,	,	PUNCT
fis-119	168	12	j.	j.	PROPN
fis-119	168	13	mech	mech	PROPN
fis-119	168	14	.	.	PUNCT
fis-119	169	1	phys	phy	NOUN
fis-119	169	2	.	.	PUNCT
fis-119	170	1	solids	solid	NOUN
fis-119	170	2	,	,	PUNCT
fis-119	170	3	58	58	NUM
fis-119	170	4	(	(	PUNCT
fis-119	170	5	2010	2010	NUM
fis-119	170	6	)	)	PUNCT
fis-119	170	7	1154	1154	NUM
fis-119	170	8	.	.	PUNCT
fis-119	171	1	[	[	X
fis-119	171	2	10	10	NUM
fis-119	171	3	]	]	PUNCT
fis-119	171	4	k.	k.	PROPN
fis-119	171	5	pham	pham	PROPN
fis-119	171	6	,	,	PUNCT
fis-119	171	7	h.	h.	PROPN
fis-119	171	8	amor	amor	PROPN
fis-119	171	9	,	,	PUNCT
fis-119	171	10	j.-j	j.-j	PROPN
fis-119	171	11	.	.	PUNCT
fis-119	172	1	marigo	marigo	PROPN
fis-119	172	2	,	,	PUNCT
fis-119	172	3	c.	c.	PROPN
fis-119	172	4	maurini	maurini	PROPN
fis-119	172	5	,	,	PUNCT
fis-119	172	6	int	int	NOUN
fis-119	172	7	.	.	PUNCT
fis-119	173	1	j.	j.	PROPN
fis-119	173	2	damage	damage	NOUN
fis-119	173	3	mechanics	mechanic	NOUN
fis-119	173	4	,	,	PUNCT
fis-119	173	5	20	20	NUM
fis-119	173	6	(	(	PUNCT
fis-119	173	7	2011	2011	NUM
fis-119	173	8	)	)	PUNCT
fis-119	173	9	618	618	NUM
fis-119	173	10	.	.	PUNCT
fis-119	174	1	[	[	X
fis-119	174	2	11	11	NUM
fis-119	174	3	]	]	PUNCT
fis-119	174	4	j.	j.	PROPN
fis-119	174	5	miklowitz	miklowitz	PROPN
fis-119	174	6	,	,	PUNCT
fis-119	174	7	in	in	ADP
fis-119	174	8	:	:	PUNCT
fis-119	174	9	proc	proc	NOUN
fis-119	174	10	.	.	PUNCT
fis-119	175	1	nat	nat	NOUN
fis-119	175	2	.	.	PUNCT
fis-119	176	1	meeting	meeting	NOUN
fis-119	176	2	of	of	ADP
fis-119	176	3	the	the	DET
fis-119	176	4	applied	apply	VERB
fis-119	176	5	mechanics	mechanic	NOUN
fis-119	176	6	division	division	NOUN
fis-119	176	7	,	,	PUNCT
fis-119	176	8	asme	asme	PROPN
fis-119	176	9	,	,	PUNCT
fis-119	176	10	ann	ann	PROPN
fis-119	176	11	harbor	harbor	PROPN
fis-119	176	12	,	,	PUNCT
fis-119	176	13	mich	mich	PROPN
fis-119	176	14	,	,	PUNCT
fis-119	176	15	(	(	PUNCT
fis-119	176	16	1949	1949	NUM
fis-119	176	17	)	)	PUNCT
fis-119	176	18	159	159	NUM
fis-119	176	19	.	.	PUNCT
fis-119	177	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-119	177	2	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	http://dx.medra.org/10.3221/igf-esis.18.01&auth=true	NOUN