id	sid	tid	token	lemma	pos
fis-1354	1	1	microsoft	microsoft	PROPN
fis-1354	1	2	word	word	NOUN
fis-1354	1	3	numero_31_art_7	numero_31_art_7	PROPN
fis-1354	1	4	j.a.f.o	j.a.f.o	PROPN
fis-1354	1	5	.	.	PUNCT
fis-1354	1	6	correia	correia	PROPN
fis-1354	1	7	et	et	PROPN
fis-1354	1	8	alii	alii	PROPN
fis-1354	1	9	,	,	PUNCT
fis-1354	1	10	frattura	frattura	PROPN
fis-1354	1	11	ed	ed	PROPN
fis-1354	1	12	integrità	integrità	PROPN
fis-1354	1	13	strutturale	strutturale	PROPN
fis-1354	1	14	,	,	PUNCT
fis-1354	1	15	31	31	NUM
fis-1354	1	16	(	(	PUNCT
fis-1354	1	17	2015	2015	NUM
fis-1354	1	18	)	)	PUNCT
fis-1354	1	19	80	80	NUM
fis-1354	1	20	-	-	SYM
fis-1354	1	21	96	96	NUM
fis-1354	1	22	;	;	PUNCT
fis-1354	1	23	doi	doi	NOUN
fis-1354	1	24	:	:	PUNCT
fis-1354	1	25	10.3221	10.3221	NUM
fis-1354	1	26	/	/	SYM
fis-1354	1	27	igf	igf	PROPN
fis-1354	1	28	-	-	ADJ
fis-1354	1	29	esis.31.07	esis.31.07	ADJ
fis-1354	1	30	80	80	NUM
fis-1354	1	31	modelling	model	VERB
fis-1354	1	32	probabilistic	probabilistic	ADJ
fis-1354	1	33	fatigue	fatigue	NOUN
fis-1354	1	34	crack	crack	VERB
fis-1354	1	35	propagation	propagation	NOUN
fis-1354	1	36	rates	rate	NOUN
fis-1354	1	37	for	for	ADP
fis-1354	1	38	a	a	DET
fis-1354	1	39	mild	mild	ADJ
fis-1354	1	40	structural	structural	ADJ
fis-1354	1	41	steel	steel	NOUN
fis-1354	1	42	j.a.f.o	j.a.f.o	PROPN
fis-1354	1	43	.	.	PUNCT
fis-1354	1	44	correia	correia	PROPN
fis-1354	1	45	,	,	PUNCT
fis-1354	1	46	a.m.p	a.m.p	PROPN
fis-1354	1	47	.	.	PROPN
fis-1354	1	48	de	de	PROPN
fis-1354	1	49	jesus	jesus	PROPN
fis-1354	1	50	university	university	PROPN
fis-1354	1	51	of	of	ADP
fis-1354	1	52	trás	trás	PROPN
fis-1354	1	53	-	-	PUNCT
fis-1354	1	54	os	os	NOUN
fis-1354	1	55	-	-	PUNCT
fis-1354	1	56	montes	monte	NOUN
fis-1354	1	57	e	e	PROPN
fis-1354	1	58	alto	alto	PROPN
fis-1354	1	59	douro	douro	PROPN
fis-1354	1	60	,	,	PUNCT
fis-1354	1	61	vila	vila	PROPN
fis-1354	1	62	real	real	PROPN
fis-1354	1	63	,	,	PUNCT
fis-1354	1	64	portugal	portugal	PROPN
fis-1354	1	65	ucve	ucve	ADJ
fis-1354	1	66	-	-	PUNCT
fis-1354	1	67	idmec	idmec	NOUN
fis-1354	1	68	-	-	PUNCT
fis-1354	1	69	laeta	laeta	NOUN
fis-1354	1	70	,	,	PUNCT
fis-1354	1	71	porto	porto	PROPN
fis-1354	1	72	,	,	PUNCT
fis-1354	1	73	portugal	portugal	PROPN
fis-1354	1	74	jcorreia@utad.pt	jcorreia@utad.pt	PROPN
fis-1354	1	75	,	,	PUNCT
fis-1354	1	76	ajesus@utad.pt	ajesus@utad.pt	PROPN
fis-1354	1	77	a.	a.	PROPN
fis-1354	1	78	fernández	fernández	PROPN
fis-1354	1	79	-	-	PUNCT
fis-1354	1	80	canteli	canteli	PROPN
fis-1354	1	81	university	university	PROPN
fis-1354	1	82	of	of	ADP
fis-1354	1	83	oviedo	oviedo	PROPN
fis-1354	1	84	afc@uniovi.es	afc@uniovi.es	PROPN
fis-1354	1	85	r.a.b	r.a.b	PROPN
fis-1354	1	86	.	.	PUNCT
fis-1354	2	1	calçada	calçada	PROPN
fis-1354	2	2	faculty	faculty	NOUN
fis-1354	2	3	of	of	ADP
fis-1354	2	4	engineering	engineering	NOUN
fis-1354	2	5	,	,	PUNCT
fis-1354	2	6	university	university	NOUN
fis-1354	2	7	of	of	ADP
fis-1354	2	8	porto	porto	PROPN
fis-1354	2	9	,	,	PUNCT
fis-1354	2	10	porto	porto	PROPN
fis-1354	2	11	,	,	PUNCT
fis-1354	2	12	portugal	portugal	PROPN
fis-1354	2	13	ruiabc@fe.up.pt	ruiabc@fe.up.pt	PROPN
fis-1354	2	14	abstract	abstract	NOUN
fis-1354	2	15	.	.	PUNCT
fis-1354	3	1	a	a	DET
fis-1354	3	2	class	class	NOUN
fis-1354	3	3	of	of	ADP
fis-1354	3	4	fatigue	fatigue	NOUN
fis-1354	3	5	crack	crack	NOUN
fis-1354	3	6	growth	growth	NOUN
fis-1354	3	7	models	model	NOUN
fis-1354	3	8	based	base	VERB
fis-1354	3	9	on	on	ADP
fis-1354	3	10	elastic	elastic	ADJ
fis-1354	3	11	–	–	PUNCT
fis-1354	3	12	plastic	plastic	ADJ
fis-1354	3	13	stress	stress	NOUN
fis-1354	3	14	–	–	PUNCT
fis-1354	3	15	strain	strain	NOUN
fis-1354	3	16	histories	history	NOUN
fis-1354	3	17	at	at	ADP
fis-1354	3	18	the	the	DET
fis-1354	3	19	crack	crack	NOUN
fis-1354	3	20	tip	tip	NOUN
fis-1354	3	21	region	region	NOUN
fis-1354	3	22	and	and	CCONJ
fis-1354	3	23	local	local	ADJ
fis-1354	3	24	strain	strain	NOUN
fis-1354	3	25	-	-	PUNCT
fis-1354	3	26	life	life	NOUN
fis-1354	3	27	damage	damage	NOUN
fis-1354	3	28	models	model	NOUN
fis-1354	3	29	have	have	AUX
fis-1354	3	30	been	be	AUX
fis-1354	3	31	proposed	propose	VERB
fis-1354	3	32	in	in	ADP
fis-1354	3	33	literature	literature	NOUN
fis-1354	3	34	.	.	PUNCT
fis-1354	4	1	the	the	DET
fis-1354	4	2	fatigue	fatigue	NOUN
fis-1354	4	3	crack	crack	NOUN
fis-1354	4	4	growth	growth	NOUN
fis-1354	4	5	is	be	AUX
fis-1354	4	6	regarded	regard	VERB
fis-1354	4	7	as	as	ADP
fis-1354	4	8	a	a	DET
fis-1354	4	9	process	process	NOUN
fis-1354	4	10	of	of	ADP
fis-1354	4	11	continuous	continuous	ADJ
fis-1354	4	12	crack	crack	NOUN
fis-1354	4	13	initializations	initialization	NOUN
fis-1354	4	14	over	over	ADP
fis-1354	4	15	successive	successive	ADJ
fis-1354	4	16	elementary	elementary	ADJ
fis-1354	4	17	material	material	NOUN
fis-1354	4	18	blocks	block	NOUN
fis-1354	4	19	,	,	PUNCT
fis-1354	4	20	which	which	PRON
fis-1354	4	21	may	may	AUX
fis-1354	4	22	be	be	AUX
fis-1354	4	23	governed	govern	VERB
fis-1354	4	24	by	by	ADP
fis-1354	4	25	smooth	smooth	ADJ
fis-1354	4	26	strain	strain	NOUN
fis-1354	4	27	-	-	PUNCT
fis-1354	4	28	life	life	NOUN
fis-1354	4	29	damage	damage	NOUN
fis-1354	4	30	data	datum	NOUN
fis-1354	4	31	.	.	PUNCT
fis-1354	5	1	some	some	DET
fis-1354	5	2	approaches	approach	NOUN
fis-1354	5	3	account	account	VERB
fis-1354	5	4	for	for	ADP
fis-1354	5	5	the	the	DET
fis-1354	5	6	residual	residual	ADJ
fis-1354	5	7	stresses	stress	NOUN
fis-1354	5	8	developing	develop	VERB
fis-1354	5	9	at	at	ADP
fis-1354	5	10	the	the	DET
fis-1354	5	11	crack	crack	NOUN
fis-1354	5	12	tip	tip	NOUN
fis-1354	5	13	in	in	ADP
fis-1354	5	14	the	the	DET
fis-1354	5	15	actual	actual	ADJ
fis-1354	5	16	crack	crack	NOUN
fis-1354	5	17	driving	drive	VERB
fis-1354	5	18	force	force	NOUN
fis-1354	5	19	assessment	assessment	NOUN
fis-1354	5	20	,	,	PUNCT
fis-1354	5	21	allowing	allow	VERB
fis-1354	5	22	mean	mean	ADJ
fis-1354	5	23	stresses	stress	NOUN
fis-1354	5	24	and	and	CCONJ
fis-1354	5	25	loading	load	VERB
fis-1354	5	26	sequential	sequential	ADJ
fis-1354	5	27	effects	effect	NOUN
fis-1354	5	28	to	to	PART
fis-1354	5	29	be	be	AUX
fis-1354	5	30	modelled	model	VERB
fis-1354	5	31	.	.	PUNCT
fis-1354	6	1	an	an	DET
fis-1354	6	2	extension	extension	NOUN
fis-1354	6	3	of	of	ADP
fis-1354	6	4	the	the	DET
fis-1354	6	5	fatigue	fatigue	NOUN
fis-1354	6	6	crack	crack	NOUN
fis-1354	6	7	propagation	propagation	NOUN
fis-1354	6	8	model	model	NOUN
fis-1354	6	9	originally	originally	ADV
fis-1354	6	10	proposed	propose	VERB
fis-1354	6	11	by	by	ADP
fis-1354	6	12	noroozi	noroozi	PROPN
fis-1354	6	13	et	et	PROPN
fis-1354	6	14	al	al	PROPN
fis-1354	6	15	.	.	PROPN
fis-1354	6	16	(	(	PUNCT
fis-1354	6	17	2005	2005	NUM
fis-1354	6	18	)	)	PUNCT
fis-1354	6	19	to	to	PART
fis-1354	6	20	derive	derive	VERB
fis-1354	6	21	probabilistic	probabilistic	ADJ
fis-1354	6	22	fatigue	fatigue	NOUN
fis-1354	6	23	crack	crack	NOUN
fis-1354	6	24	propagation	propagation	NOUN
fis-1354	6	25	data	datum	NOUN
fis-1354	6	26	is	be	AUX
fis-1354	6	27	proposed	propose	VERB
fis-1354	6	28	,	,	PUNCT
fis-1354	6	29	in	in	ADP
fis-1354	6	30	particular	particular	ADJ
fis-1354	6	31	concerning	concern	VERB
fis-1354	6	32	the	the	DET
fis-1354	6	33	derivation	derivation	NOUN
fis-1354	6	34	of	of	ADP
fis-1354	6	35	probabilistic	probabilistic	ADJ
fis-1354	6	36	da	da	PROPN
fis-1354	6	37	/	/	SYM
fis-1354	6	38	dn	dn	NOUN
fis-1354	6	39	-	-	PUNCT
fis-1354	6	40	δk	δk	NOUN
fis-1354	6	41	-	-	PUNCT
fis-1354	6	42	r	r	NOUN
fis-1354	6	43	fields	field	NOUN
fis-1354	6	44	.	.	PUNCT
fis-1354	7	1	the	the	DET
fis-1354	7	2	elastic	elastic	ADJ
fis-1354	7	3	-	-	PUNCT
fis-1354	7	4	plastic	plastic	NOUN
fis-1354	7	5	stresses	stress	NOUN
fis-1354	7	6	at	at	ADP
fis-1354	7	7	the	the	DET
fis-1354	7	8	vicinity	vicinity	NOUN
fis-1354	7	9	of	of	ADP
fis-1354	7	10	the	the	DET
fis-1354	7	11	crack	crack	NOUN
fis-1354	7	12	tip	tip	NOUN
fis-1354	7	13	,	,	PUNCT
fis-1354	7	14	computed	compute	VERB
fis-1354	7	15	using	use	VERB
fis-1354	7	16	simplified	simplified	ADJ
fis-1354	7	17	formulae	formulae	NOUN
fis-1354	7	18	,	,	PUNCT
fis-1354	7	19	are	be	AUX
fis-1354	7	20	compared	compare	VERB
fis-1354	7	21	with	with	ADP
fis-1354	7	22	the	the	DET
fis-1354	7	23	stresses	stress	NOUN
fis-1354	7	24	computed	compute	VERB
fis-1354	7	25	using	use	VERB
fis-1354	7	26	an	an	DET
fis-1354	7	27	elasticplastic	elasticplastic	ADJ
fis-1354	7	28	finite	finite	NOUN
fis-1354	7	29	element	element	NOUN
fis-1354	7	30	analyses	analysis	NOUN
fis-1354	7	31	for	for	ADP
fis-1354	7	32	specimens	specimen	NOUN
fis-1354	7	33	considered	consider	VERB
fis-1354	7	34	in	in	ADP
fis-1354	7	35	the	the	DET
fis-1354	7	36	experimental	experimental	ADJ
fis-1354	7	37	program	program	NOUN
fis-1354	7	38	proposed	propose	VERB
fis-1354	7	39	to	to	PART
fis-1354	7	40	derive	derive	VERB
fis-1354	7	41	the	the	DET
fis-1354	7	42	fatigue	fatigue	NOUN
fis-1354	7	43	crack	crack	VERB
fis-1354	7	44	propagation	propagation	NOUN
fis-1354	7	45	data	datum	NOUN
fis-1354	7	46	.	.	PUNCT
fis-1354	8	1	using	use	VERB
fis-1354	8	2	probabilistic	probabilistic	ADJ
fis-1354	8	3	strain	strain	NOUN
fis-1354	8	4	-	-	PUNCT
fis-1354	8	5	life	life	NOUN
fis-1354	8	6	data	datum	NOUN
fis-1354	8	7	available	available	ADJ
fis-1354	8	8	for	for	ADP
fis-1354	8	9	the	the	DET
fis-1354	8	10	s355	s355	PROPN
fis-1354	8	11	structural	structural	ADJ
fis-1354	8	12	mild	mild	ADJ
fis-1354	8	13	steel	steel	NOUN
fis-1354	8	14	,	,	PUNCT
fis-1354	8	15	probabilistic	probabilistic	ADJ
fis-1354	8	16	crack	crack	NOUN
fis-1354	8	17	propagation	propagation	NOUN
fis-1354	8	18	fields	field	NOUN
fis-1354	8	19	are	be	AUX
fis-1354	8	20	generated	generate	VERB
fis-1354	8	21	,	,	PUNCT
fis-1354	8	22	for	for	ADP
fis-1354	8	23	several	several	ADJ
fis-1354	8	24	stress	stress	NOUN
fis-1354	8	25	ratios	ratio	NOUN
fis-1354	8	26	,	,	PUNCT
fis-1354	8	27	and	and	CCONJ
fis-1354	8	28	compared	compare	VERB
fis-1354	8	29	with	with	ADP
fis-1354	8	30	experimental	experimental	ADJ
fis-1354	8	31	fatigue	fatigue	NOUN
fis-1354	8	32	crack	crack	VERB
fis-1354	8	33	propagation	propagation	NOUN
fis-1354	8	34	data	datum	NOUN
fis-1354	8	35	.	.	PUNCT
fis-1354	9	1	a	a	DET
fis-1354	9	2	satisfactory	satisfactory	ADJ
fis-1354	9	3	agreement	agreement	NOUN
fis-1354	9	4	between	between	ADP
fis-1354	9	5	the	the	DET
fis-1354	9	6	predicted	predict	VERB
fis-1354	9	7	probabilistic	probabilistic	ADJ
fis-1354	9	8	fields	field	NOUN
fis-1354	9	9	and	and	CCONJ
fis-1354	9	10	experimental	experimental	ADJ
fis-1354	9	11	data	datum	NOUN
fis-1354	9	12	is	be	AUX
fis-1354	9	13	observed	observe	VERB
fis-1354	9	14	.	.	PUNCT
fis-1354	10	1	keywords	keyword	NOUN
fis-1354	10	2	.	.	PUNCT
fis-1354	11	1	fatigue	fatigue	NOUN
fis-1354	11	2	,	,	PUNCT
fis-1354	11	3	crack	crack	VERB
fis-1354	11	4	propagation	propagation	NOUN
fis-1354	11	5	,	,	PUNCT
fis-1354	11	6	fracture	fracture	NOUN
fis-1354	11	7	mechanics	mechanic	NOUN
fis-1354	11	8	,	,	PUNCT
fis-1354	11	9	local	local	ADJ
fis-1354	11	10	approach	approach	NOUN
fis-1354	11	11	,	,	PUNCT
fis-1354	11	12	probabilistic	probabilistic	ADJ
fis-1354	11	13	approach	approach	NOUN
fis-1354	11	14	,	,	PUNCT
fis-1354	11	15	finite	finite	PROPN
fis-1354	11	16	element	element	NOUN
fis-1354	11	17	modelling	modelling	NOUN
fis-1354	11	18	.	.	PUNCT
fis-1354	12	1	introduction	introduction	NOUN
fis-1354	12	2	atigue	atigue	NOUN
fis-1354	12	3	of	of	ADP
fis-1354	12	4	materials	material	NOUN
fis-1354	12	5	and	and	CCONJ
fis-1354	12	6	structures	structure	NOUN
fis-1354	12	7	has	have	AUX
fis-1354	12	8	been	be	AUX
fis-1354	12	9	investigated	investigate	VERB
fis-1354	12	10	for	for	ADP
fis-1354	12	11	more	more	ADJ
fis-1354	12	12	than	than	ADP
fis-1354	12	13	150	150	NUM
fis-1354	12	14	years	year	NOUN
fis-1354	13	1	[	[	X
fis-1354	13	2	2	2	NUM
fis-1354	13	3	]	]	PUNCT
fis-1354	13	4	.	.	PUNCT
fis-1354	14	1	although	although	SCONJ
fis-1354	14	2	it	it	PRON
fis-1354	14	3	still	still	ADV
fis-1354	14	4	attracts	attract	VERB
fis-1354	14	5	a	a	DET
fis-1354	14	6	lot	lot	NOUN
fis-1354	14	7	of	of	ADP
fis-1354	14	8	attention	attention	NOUN
fis-1354	14	9	of	of	ADP
fis-1354	14	10	engineers	engineer	NOUN
fis-1354	14	11	and	and	CCONJ
fis-1354	14	12	scientists	scientist	NOUN
fis-1354	14	13	.	.	PUNCT
fis-1354	15	1	concerning	concern	VERB
fis-1354	15	2	the	the	DET
fis-1354	15	3	investigation	investigation	NOUN
fis-1354	15	4	of	of	ADP
fis-1354	15	5	the	the	DET
fis-1354	15	6	fatigue	fatigue	NOUN
fis-1354	15	7	crack	crack	VERB
fis-1354	15	8	propagation	propagation	NOUN
fis-1354	15	9	,	,	PUNCT
fis-1354	15	10	significant	significant	ADJ
fis-1354	15	11	developments	development	NOUN
fis-1354	15	12	were	be	AUX
fis-1354	15	13	carried	carry	VERB
fis-1354	15	14	out	out	ADP
fis-1354	15	15	since	since	SCONJ
fis-1354	15	16	the	the	DET
fis-1354	15	17	original	original	ADJ
fis-1354	15	18	paris	paris	PROPN
fis-1354	15	19	et	et	PROPN
fis-1354	15	20	al	al	PROPN
fis-1354	15	21	.	.	PUNCT
fis-1354	16	1	[	[	X
fis-1354	16	2	3	3	X
fis-1354	16	3	]	]	X
fis-1354	16	4	milestone	milestone	NOUN
fis-1354	16	5	contribution	contribution	NOUN
fis-1354	16	6	.	.	PUNCT
fis-1354	17	1	paris	paris	PROPN
fis-1354	17	2	et	et	PROPN
fis-1354	17	3	al	al	PROPN
fis-1354	17	4	.	.	PUNCT
fis-1354	18	1	[	[	X
fis-1354	18	2	3	3	X
fis-1354	18	3	]	]	PUNCT
fis-1354	18	4	was	be	AUX
fis-1354	18	5	pioneer	pioneer	NOUN
fis-1354	18	6	suggesting	suggest	VERB
fis-1354	18	7	the	the	DET
fis-1354	18	8	stress	stress	NOUN
fis-1354	18	9	intensity	intensity	NOUN
fis-1354	18	10	factor	factor	NOUN
fis-1354	18	11	range	range	NOUN
fis-1354	18	12	as	as	ADP
fis-1354	18	13	a	a	DET
fis-1354	18	14	crack	crack	NOUN
fis-1354	18	15	driving	drive	VERB
fis-1354	18	16	force	force	NOUN
fis-1354	18	17	parameter	parameter	NOUN
fis-1354	18	18	.	.	PUNCT
fis-1354	19	1	the	the	DET
fis-1354	19	2	so	so	ADV
fis-1354	19	3	-	-	PUNCT
fis-1354	19	4	called	call	VERB
fis-1354	19	5	paris	paris	PROPN
fis-1354	19	6	’s	’s	PART
fis-1354	19	7	law	law	NOUN
fis-1354	19	8	stated	state	VERB
fis-1354	19	9	this	this	DET
fis-1354	19	10	relation	relation	NOUN
fis-1354	19	11	f	f	PROPN
fis-1354	19	12	j.a.f.o	j.a.f.o	PROPN
fis-1354	19	13	.	.	PUNCT
fis-1354	19	14	correia	correia	PROPN
fis-1354	19	15	et	et	PROPN
fis-1354	19	16	alii	alii	PROPN
fis-1354	19	17	,	,	PUNCT
fis-1354	19	18	frattura	frattura	PROPN
fis-1354	19	19	ed	ed	PROPN
fis-1354	19	20	integrità	integrità	PROPN
fis-1354	19	21	strutturale	strutturale	PROPN
fis-1354	19	22	,	,	PUNCT
fis-1354	19	23	31	31	NUM
fis-1354	19	24	(	(	PUNCT
fis-1354	19	25	2015	2015	NUM
fis-1354	19	26	)	)	PUNCT
fis-1354	19	27	80	80	NUM
fis-1354	19	28	-	-	SYM
fis-1354	19	29	96	96	NUM
fis-1354	19	30	;	;	PUNCT
fis-1354	19	31	doi	doi	NOUN
fis-1354	19	32	:	:	PUNCT
fis-1354	19	33	10.3221	10.3221	NUM
fis-1354	19	34	/	/	SYM
fis-1354	19	35	igf	igf	PROPN
fis-1354	19	36	-	-	ADJ
fis-1354	19	37	esis.31.07	esis.31.07	PROPN
fis-1354	19	38	81	81	NUM
fis-1354	19	39	in	in	ADP
fis-1354	19	40	a	a	DET
fis-1354	19	41	very	very	ADV
fis-1354	19	42	simple	simple	ADJ
fis-1354	19	43	form	form	NOUN
fis-1354	19	44	:	:	PUNCT
fis-1354	19	45	the	the	DET
fis-1354	19	46	power	power	NOUN
fis-1354	19	47	function	function	NOUN
fis-1354	19	48	.	.	PUNCT
fis-1354	20	1	it	it	PRON
fis-1354	20	2	has	have	AUX
fis-1354	20	3	been	be	AUX
fis-1354	20	4	rather	rather	ADV
fis-1354	20	5	documented	document	VERB
fis-1354	20	6	in	in	ADP
fis-1354	20	7	the	the	DET
fis-1354	20	8	literature	literature	NOUN
fis-1354	20	9	the	the	DET
fis-1354	20	10	paris	paris	PROPN
fis-1354	20	11	’s	’s	PART
fis-1354	20	12	law	law	NOUN
fis-1354	20	13	limitations	limitation	NOUN
fis-1354	20	14	[	[	X
fis-1354	20	15	4	4	NUM
fis-1354	20	16	]	]	PUNCT
fis-1354	20	17	:	:	PUNCT
fis-1354	21	1	i	i	X
fis-1354	21	2	)	)	PUNCT
fis-1354	21	3	it	it	PRON
fis-1354	21	4	only	only	ADV
fis-1354	21	5	models	model	VERB
fis-1354	21	6	stable	stable	ADJ
fis-1354	21	7	fatigue	fatigue	NOUN
fis-1354	21	8	crack	crack	NOUN
fis-1354	21	9	propagation	propagation	NOUN
fis-1354	21	10	behaviour	behaviour	NOUN
fis-1354	21	11	(	(	PUNCT
fis-1354	21	12	propagation	propagation	NOUN
fis-1354	21	13	regime	regime	PROPN
fis-1354	21	14	ii	ii	PROPN
fis-1354	21	15	)	)	PUNCT
fis-1354	21	16	and	and	CCONJ
fis-1354	21	17	ii	ii	NOUN
fis-1354	21	18	)	)	PUNCT
fis-1354	21	19	does	do	AUX
fis-1354	21	20	not	not	PART
fis-1354	21	21	account	account	VERB
fis-1354	21	22	for	for	ADP
fis-1354	21	23	stress	stress	NOUN
fis-1354	21	24	ratio	ratio	NOUN
fis-1354	21	25	effects	effect	NOUN
fis-1354	21	26	.	.	PUNCT
fis-1354	22	1	many	many	ADJ
fis-1354	22	2	alternative	alternative	ADJ
fis-1354	22	3	fatigue	fatigue	NOUN
fis-1354	22	4	crack	crack	NOUN
fis-1354	22	5	propagation	propagation	NOUN
fis-1354	22	6	relations	relation	NOUN
fis-1354	22	7	have	have	AUX
fis-1354	22	8	been	be	AUX
fis-1354	22	9	proposed	propose	VERB
fis-1354	22	10	to	to	PART
fis-1354	22	11	overcome	overcome	VERB
fis-1354	22	12	the	the	DET
fis-1354	22	13	limitations	limitation	NOUN
fis-1354	22	14	of	of	ADP
fis-1354	22	15	the	the	DET
fis-1354	22	16	paris	paris	PROPN
fis-1354	22	17	’s	’s	PART
fis-1354	22	18	law	law	NOUN
fis-1354	22	19	and	and	CCONJ
fis-1354	22	20	also	also	ADV
fis-1354	22	21	to	to	PART
fis-1354	22	22	deal	deal	VERB
fis-1354	22	23	with	with	ADP
fis-1354	22	24	variable	variable	ADJ
fis-1354	22	25	amplitude	amplitude	NOUN
fis-1354	22	26	loading	loading	NOUN
fis-1354	22	27	.	.	PUNCT
fis-1354	23	1	nevertheless	nevertheless	ADV
fis-1354	23	2	,	,	PUNCT
fis-1354	23	3	the	the	DET
fis-1354	23	4	paris	paris	PROPN
fis-1354	23	5	’s	’s	PART
fis-1354	23	6	law	law	NOUN
fis-1354	23	7	still	still	ADV
fis-1354	23	8	has	have	AUX
fis-1354	23	9	been	be	AUX
fis-1354	23	10	intensively	intensively	ADV
fis-1354	23	11	used	use	VERB
fis-1354	23	12	to	to	PART
fis-1354	23	13	model	model	VERB
fis-1354	23	14	fatigue	fatigue	NOUN
fis-1354	23	15	crack	crack	VERB
fis-1354	23	16	growth	growth	NOUN
fis-1354	23	17	under	under	ADP
fis-1354	23	18	constant	constant	ADJ
fis-1354	23	19	amplitude	amplitude	NOUN
fis-1354	23	20	loading	loading	NOUN
fis-1354	23	21	due	due	ADP
fis-1354	23	22	to	to	ADP
fis-1354	23	23	its	its	PRON
fis-1354	23	24	attractive	attractive	ADJ
fis-1354	23	25	simplicity	simplicity	NOUN
fis-1354	23	26	.	.	PUNCT
fis-1354	24	1	the	the	DET
fis-1354	24	2	number	number	NOUN
fis-1354	24	3	of	of	ADP
fis-1354	24	4	parameters	parameter	NOUN
fis-1354	24	5	involved	involve	VERB
fis-1354	24	6	in	in	ADP
fis-1354	24	7	the	the	DET
fis-1354	24	8	more	more	ADV
fis-1354	24	9	comprehensive	comprehensive	ADJ
fis-1354	24	10	fatigue	fatigue	NOUN
fis-1354	24	11	crack	crack	NOUN
fis-1354	24	12	propagation	propagation	NOUN
fis-1354	24	13	models	model	NOUN
fis-1354	24	14	may	may	AUX
fis-1354	24	15	increase	increase	VERB
fis-1354	24	16	significantly	significantly	ADV
fis-1354	24	17	which	which	PRON
fis-1354	24	18	makes	make	VERB
fis-1354	24	19	their	their	PRON
fis-1354	24	20	evaluation	evaluation	NOUN
fis-1354	24	21	a	a	DET
fis-1354	24	22	costly	costly	ADJ
fis-1354	24	23	task	task	NOUN
fis-1354	24	24	and	and	CCONJ
fis-1354	24	25	very	very	ADV
fis-1354	24	26	often	often	ADV
fis-1354	24	27	discouraging	discourage	VERB
fis-1354	24	28	engineers	engineer	NOUN
fis-1354	24	29	of	of	ADP
fis-1354	24	30	their	their	PRON
fis-1354	24	31	application	application	NOUN
fis-1354	24	32	.	.	PUNCT
fis-1354	25	1	fatigue	fatigue	NOUN
fis-1354	25	2	crack	crack	VERB
fis-1354	25	3	growth	growth	NOUN
fis-1354	25	4	testing	testing	NOUN
fis-1354	25	5	is	be	AUX
fis-1354	25	6	costly	costly	ADJ
fis-1354	25	7	and	and	CCONJ
fis-1354	25	8	alternative	alternative	ADJ
fis-1354	25	9	less	less	ADV
fis-1354	25	10	expensive	expensive	ADJ
fis-1354	25	11	approaches	approach	NOUN
fis-1354	25	12	to	to	PART
fis-1354	25	13	derive	derive	VERB
fis-1354	25	14	fatigue	fatigue	NOUN
fis-1354	25	15	crack	crack	NOUN
fis-1354	25	16	growth	growth	NOUN
fis-1354	25	17	data	datum	NOUN
fis-1354	25	18	are	be	AUX
fis-1354	25	19	consequently	consequently	ADV
fis-1354	25	20	welcome	welcome	ADJ
fis-1354	25	21	.	.	PUNCT
fis-1354	26	1	local	local	ADJ
fis-1354	26	2	strain	strain	NOUN
fis-1354	26	3	-	-	PUNCT
fis-1354	26	4	based	base	VERB
fis-1354	26	5	approaches	approach	NOUN
fis-1354	26	6	[	[	X
fis-1354	26	7	5	5	NUM
fis-1354	26	8	-	-	SYM
fis-1354	26	9	8	8	NUM
fis-1354	26	10	]	]	PUNCT
fis-1354	26	11	were	be	AUX
fis-1354	26	12	originally	originally	ADV
fis-1354	26	13	proposed	propose	VERB
fis-1354	26	14	to	to	PART
fis-1354	26	15	model	model	VERB
fis-1354	26	16	fatigue	fatigue	NOUN
fis-1354	26	17	crack	crack	VERB
fis-1354	26	18	initiation	initiation	NOUN
fis-1354	26	19	on	on	ADP
fis-1354	26	20	notched	notch	VERB
fis-1354	26	21	components	component	NOUN
fis-1354	27	1	[	[	X
fis-1354	27	2	9	9	NUM
fis-1354	27	3	]	]	PUNCT
fis-1354	27	4	.	.	PUNCT
fis-1354	28	1	a	a	DET
fis-1354	28	2	link	link	NOUN
fis-1354	28	3	between	between	ADP
fis-1354	28	4	the	the	DET
fis-1354	28	5	local	local	ADJ
fis-1354	28	6	strain	strain	NOUN
fis-1354	28	7	-	-	PUNCT
fis-1354	28	8	based	base	VERB
fis-1354	28	9	approaches	approach	NOUN
fis-1354	28	10	to	to	ADP
fis-1354	28	11	fatigue	fatigue	NOUN
fis-1354	28	12	and	and	CCONJ
fis-1354	28	13	the	the	DET
fis-1354	28	14	fracture	fracture	PROPN
fis-1354	28	15	mechanics	mechanic	NOUN
fis-1354	28	16	based	base	VERB
fis-1354	28	17	fatigue	fatigue	NOUN
fis-1354	28	18	crack	crack	NOUN
fis-1354	28	19	propagation	propagation	NOUN
fis-1354	28	20	models	model	NOUN
fis-1354	28	21	has	have	AUX
fis-1354	28	22	been	be	AUX
fis-1354	28	23	proposed	propose	VERB
fis-1354	28	24	by	by	ADP
fis-1354	28	25	some	some	DET
fis-1354	28	26	authors	author	NOUN
fis-1354	28	27	[	[	X
fis-1354	28	28	1	1	NUM
fis-1354	28	29	,	,	PUNCT
fis-1354	28	30	10	10	NUM
fis-1354	28	31	-	-	SYM
fis-1354	28	32	14	14	NUM
fis-1354	28	33	]	]	PUNCT
fis-1354	28	34	.	.	PUNCT
fis-1354	29	1	glinka	glinka	PROPN
fis-1354	30	1	[	[	X
fis-1354	30	2	13	13	NUM
fis-1354	30	3	]	]	PUNCT
fis-1354	30	4	was	be	AUX
fis-1354	30	5	one	one	NUM
fis-1354	30	6	of	of	ADP
fis-1354	30	7	the	the	DET
fis-1354	30	8	first	first	ADJ
fis-1354	30	9	researchers	researcher	NOUN
fis-1354	30	10	to	to	PART
fis-1354	30	11	use	use	VERB
fis-1354	30	12	the	the	DET
fis-1354	30	13	local	local	ADJ
fis-1354	30	14	strain	strain	NOUN
fis-1354	30	15	approaches	approach	NOUN
fis-1354	30	16	to	to	ADP
fis-1354	30	17	model	model	NOUN
fis-1354	30	18	fatigue	fatigue	NOUN
fis-1354	30	19	crack	crack	VERB
fis-1354	30	20	propagation	propagation	NOUN
fis-1354	30	21	.	.	PUNCT
fis-1354	31	1	the	the	DET
fis-1354	31	2	original	original	ADJ
fis-1354	31	3	idea	idea	NOUN
fis-1354	31	4	of	of	ADP
fis-1354	31	5	glinka	glinka	PROPN
fis-1354	31	6	was	be	AUX
fis-1354	31	7	later	later	ADV
fis-1354	31	8	followed	follow	VERB
fis-1354	31	9	and	and	CCONJ
fis-1354	31	10	developed	develop	VERB
fis-1354	31	11	by	by	ADP
fis-1354	31	12	his	his	PRON
fis-1354	31	13	collaborators	collaborator	NOUN
fis-1354	31	14	,	,	PUNCT
fis-1354	31	15	such	such	ADJ
fis-1354	31	16	as	as	ADP
fis-1354	31	17	noroozi	noroozi	PROPN
fis-1354	31	18	et	et	PROPN
fis-1354	31	19	al	al	PROPN
fis-1354	31	20	.	.	PUNCT
fis-1354	32	1	[	[	X
fis-1354	32	2	1	1	NUM
fis-1354	32	3	,	,	PUNCT
fis-1354	32	4	10	10	NUM
fis-1354	32	5	-	-	SYM
fis-1354	32	6	11	11	NUM
fis-1354	32	7	]	]	PUNCT
fis-1354	32	8	,	,	PUNCT
fis-1354	32	9	using	use	VERB
fis-1354	32	10	crack	crack	NOUN
fis-1354	32	11	tip	tip	NOUN
fis-1354	32	12	residual	residual	ADJ
fis-1354	32	13	stress	stress	NOUN
fis-1354	32	14	concepts	concept	NOUN
fis-1354	32	15	to	to	PART
fis-1354	32	16	explain	explain	VERB
fis-1354	32	17	stress	stress	NOUN
fis-1354	32	18	ratio	ratio	NOUN
fis-1354	32	19	effects	effect	NOUN
fis-1354	32	20	as	as	ADV
fis-1354	32	21	well	well	ADV
fis-1354	32	22	as	as	ADP
fis-1354	32	23	loading	loading	NOUN
fis-1354	32	24	interaction	interaction	NOUN
fis-1354	32	25	effects	effect	NOUN
fis-1354	32	26	on	on	ADP
fis-1354	32	27	fatigue	fatigue	NOUN
fis-1354	32	28	crack	crack	NOUN
fis-1354	32	29	growth	growth	NOUN
fis-1354	32	30	rates	rate	NOUN
fis-1354	32	31	.	.	PUNCT
fis-1354	33	1	peeker	peeker	NOUN
fis-1354	33	2	and	and	CCONJ
fis-1354	33	3	niemi	niemi	PROPN
fis-1354	34	1	[	[	X
fis-1354	34	2	12	12	NUM
fis-1354	34	3	]	]	PUNCT
fis-1354	34	4	,	,	PUNCT
fis-1354	34	5	based	base	VERB
fis-1354	34	6	on	on	ADP
fis-1354	34	7	the	the	DET
fis-1354	34	8	original	original	ADJ
fis-1354	34	9	idea	idea	NOUN
fis-1354	34	10	of	of	ADP
fis-1354	34	11	glinka	glinka	PROPN
fis-1354	34	12	,	,	PUNCT
fis-1354	34	13	made	make	VERB
fis-1354	34	14	also	also	ADV
fis-1354	34	15	independent	independent	ADJ
fis-1354	34	16	contributions	contribution	NOUN
fis-1354	34	17	,	,	PUNCT
fis-1354	34	18	using	use	VERB
fis-1354	34	19	crack	crack	NOUN
fis-1354	34	20	closure	closure	NOUN
fis-1354	34	21	concepts	concept	NOUN
fis-1354	34	22	to	to	PART
fis-1354	34	23	explain	explain	VERB
fis-1354	34	24	stress	stress	NOUN
fis-1354	34	25	r	r	NOUN
fis-1354	34	26	-	-	PUNCT
fis-1354	34	27	ratio	ratio	NOUN
fis-1354	34	28	and	and	CCONJ
fis-1354	34	29	load	load	NOUN
fis-1354	34	30	interaction	interaction	NOUN
fis-1354	34	31	effects	effect	NOUN
fis-1354	34	32	.	.	PUNCT
fis-1354	35	1	in	in	ADP
fis-1354	35	2	general	general	ADJ
fis-1354	35	3	,	,	PUNCT
fis-1354	35	4	elastoplastic	elastoplastic	ADJ
fis-1354	35	5	stress	stress	NOUN
fis-1354	35	6	analysis	analysis	NOUN
fis-1354	35	7	at	at	ADP
fis-1354	35	8	the	the	DET
fis-1354	35	9	crack	crack	NOUN
fis-1354	35	10	tip	tip	NOUN
fis-1354	35	11	vicinity	vicinity	NOUN
fis-1354	35	12	has	have	AUX
fis-1354	35	13	been	be	AUX
fis-1354	35	14	performed	perform	VERB
fis-1354	35	15	using	use	VERB
fis-1354	35	16	analytical	analytical	ADJ
fis-1354	35	17	approaches	approach	NOUN
fis-1354	35	18	,	,	PUNCT
fis-1354	35	19	however	however	ADV
fis-1354	35	20	numerical	numerical	ADJ
fis-1354	35	21	approaches	approach	NOUN
fis-1354	35	22	based	base	VERB
fis-1354	35	23	on	on	ADP
fis-1354	35	24	finite	finite	ADJ
fis-1354	35	25	element	element	NOUN
fis-1354	35	26	analysis	analysis	NOUN
fis-1354	35	27	were	be	AUX
fis-1354	35	28	followed	follow	VERB
fis-1354	35	29	by	by	ADP
fis-1354	35	30	hurley	hurley	PROPN
fis-1354	35	31	and	and	CCONJ
fis-1354	35	32	evans	evans	PROPN
fis-1354	36	1	[	[	X
fis-1354	36	2	14	14	NUM
fis-1354	36	3	]	]	PUNCT
fis-1354	36	4	.	.	PUNCT
fis-1354	37	1	the	the	DET
fis-1354	37	2	underlying	underlie	VERB
fis-1354	37	3	concept	concept	NOUN
fis-1354	37	4	behind	behind	ADP
fis-1354	37	5	the	the	DET
fis-1354	37	6	proposed	propose	VERB
fis-1354	37	7	local	local	ADJ
fis-1354	37	8	approaches	approach	NOUN
fis-1354	37	9	for	for	ADP
fis-1354	37	10	fatigue	fatigue	NOUN
fis-1354	37	11	crack	crack	NOUN
fis-1354	37	12	propagation	propagation	NOUN
fis-1354	37	13	modelling	modelling	NOUN
fis-1354	37	14	consists	consist	VERB
fis-1354	37	15	of	of	ADP
fis-1354	37	16	assuming	assume	VERB
fis-1354	37	17	fatigue	fatigue	NOUN
fis-1354	37	18	crack	crack	VERB
fis-1354	37	19	propagation	propagation	NOUN
fis-1354	37	20	as	as	ADP
fis-1354	37	21	a	a	DET
fis-1354	37	22	process	process	NOUN
fis-1354	37	23	of	of	ADP
fis-1354	37	24	continuous	continuous	ADJ
fis-1354	37	25	failure	failure	NOUN
fis-1354	37	26	of	of	ADP
fis-1354	37	27	consecutive	consecutive	ADJ
fis-1354	37	28	representative	representative	ADJ
fis-1354	37	29	material	material	NOUN
fis-1354	37	30	elements	element	NOUN
fis-1354	37	31	(	(	PUNCT
fis-1354	37	32	continuous	continuous	ADJ
fis-1354	37	33	re	re	NOUN
fis-1354	37	34	-	-	NOUN
fis-1354	37	35	initializations	initialization	NOUN
fis-1354	37	36	)	)	PUNCT
fis-1354	37	37	.	.	PUNCT
fis-1354	38	1	such	such	DET
fis-1354	38	2	a	a	DET
fis-1354	38	3	kind	kind	NOUN
fis-1354	38	4	of	of	ADP
fis-1354	38	5	approaches	approach	NOUN
fis-1354	38	6	has	have	AUX
fis-1354	38	7	been	be	AUX
fis-1354	38	8	demonstrated	demonstrate	VERB
fis-1354	38	9	to	to	PART
fis-1354	38	10	correlate	correlate	VERB
fis-1354	38	11	fatigue	fatigue	NOUN
fis-1354	38	12	crack	crack	NOUN
fis-1354	38	13	propagation	propagation	NOUN
fis-1354	38	14	data	datum	NOUN
fis-1354	38	15	from	from	ADP
fis-1354	38	16	several	several	ADJ
fis-1354	38	17	sources	source	NOUN
fis-1354	38	18	,	,	PUNCT
fis-1354	38	19	including	include	VERB
fis-1354	38	20	the	the	DET
fis-1354	38	21	stress	stress	NOUN
fis-1354	38	22	ratio	ratio	NOUN
fis-1354	38	23	effects	effect	NOUN
fis-1354	38	24	[	[	X
fis-1354	38	25	1	1	NUM
fis-1354	38	26	,	,	PUNCT
fis-1354	38	27	10	10	NUM
fis-1354	38	28	-	-	SYM
fis-1354	38	29	14	14	NUM
fis-1354	38	30	]	]	PUNCT
fis-1354	38	31	.	.	PUNCT
fis-1354	39	1	the	the	DET
fis-1354	39	2	crack	crack	NOUN
fis-1354	39	3	tip	tip	NOUN
fis-1354	39	4	stress	stress	NOUN
fis-1354	39	5	-	-	PUNCT
fis-1354	39	6	strain	strain	NOUN
fis-1354	39	7	fields	field	NOUN
fis-1354	39	8	are	be	AUX
fis-1354	39	9	computed	compute	VERB
fis-1354	39	10	using	use	VERB
fis-1354	39	11	elastoplastic	elastoplastic	ADJ
fis-1354	39	12	analysis	analysis	NOUN
fis-1354	39	13	,	,	PUNCT
fis-1354	39	14	which	which	PRON
fis-1354	39	15	are	be	AUX
fis-1354	39	16	applied	apply	VERB
fis-1354	39	17	together	together	ADV
fis-1354	39	18	a	a	DET
fis-1354	39	19	fatigue	fatigue	NOUN
fis-1354	39	20	damage	damage	NOUN
fis-1354	39	21	law	law	NOUN
fis-1354	39	22	to	to	PART
fis-1354	39	23	predict	predict	VERB
fis-1354	39	24	the	the	DET
fis-1354	39	25	failure	failure	NOUN
fis-1354	39	26	of	of	ADP
fis-1354	39	27	the	the	DET
fis-1354	39	28	representative	representative	ADJ
fis-1354	39	29	material	material	NOUN
fis-1354	39	30	elements	element	NOUN
fis-1354	39	31	.	.	PUNCT
fis-1354	40	1	the	the	DET
fis-1354	40	2	simplified	simplified	ADJ
fis-1354	40	3	method	method	NOUN
fis-1354	40	4	of	of	ADP
fis-1354	40	5	neuber	neuber	NOUN
fis-1354	40	6	[	[	X
fis-1354	40	7	15	15	NUM
fis-1354	40	8	]	]	PUNCT
fis-1354	40	9	or	or	CCONJ
fis-1354	40	10	moftakhar	moftakhar	ADV
fis-1354	40	11	et	et	PROPN
fis-1354	40	12	al	al	PROPN
fis-1354	40	13	.	.	PUNCT
fis-1354	41	1	[	[	X
fis-1354	41	2	16	16	NUM
fis-1354	41	3	]	]	X
fis-1354	41	4	may	may	AUX
fis-1354	41	5	be	be	AUX
fis-1354	41	6	used	use	VERB
fis-1354	41	7	to	to	PART
fis-1354	41	8	compute	compute	VERB
fis-1354	41	9	the	the	DET
fis-1354	41	10	elastoplastic	elastoplastic	ADJ
fis-1354	41	11	stress	stress	NOUN
fis-1354	41	12	field	field	NOUN
fis-1354	41	13	at	at	ADP
fis-1354	41	14	the	the	DET
fis-1354	41	15	crack	crack	NOUN
fis-1354	41	16	tip	tip	NOUN
fis-1354	41	17	vicinity	vicinity	NOUN
fis-1354	41	18	using	use	VERB
fis-1354	41	19	the	the	DET
fis-1354	41	20	elastic	elastic	ADJ
fis-1354	41	21	stress	stress	NOUN
fis-1354	41	22	distribution	distribution	NOUN
fis-1354	41	23	given	give	VERB
fis-1354	41	24	by	by	ADP
fis-1354	41	25	the	the	DET
fis-1354	41	26	fracture	fracture	ADJ
fis-1354	41	27	mechanics	mechanic	NOUN
fis-1354	41	28	[	[	X
fis-1354	41	29	1	1	NUM
fis-1354	41	30	,	,	PUNCT
fis-1354	41	31	16	16	NUM
fis-1354	41	32	-	-	SYM
fis-1354	41	33	17	17	NUM
fis-1354	41	34	]	]	PUNCT
fis-1354	41	35	.	.	PUNCT
fis-1354	42	1	this	this	DET
fis-1354	42	2	paper	paper	NOUN
fis-1354	42	3	proposes	propose	VERB
fis-1354	42	4	an	an	DET
fis-1354	42	5	assessment	assessment	NOUN
fis-1354	42	6	and	and	CCONJ
fis-1354	42	7	extension	extension	NOUN
fis-1354	42	8	of	of	ADP
fis-1354	42	9	the	the	DET
fis-1354	42	10	model	model	NOUN
fis-1354	42	11	proposed	propose	VERB
fis-1354	42	12	by	by	ADP
fis-1354	42	13	noroozi	noroozi	PROPN
fis-1354	42	14	et	et	PROPN
fis-1354	42	15	al	al	PROPN
fis-1354	42	16	.	.	PUNCT
fis-1354	43	1	[	[	X
fis-1354	43	2	1	1	NUM
fis-1354	43	3	,	,	PUNCT
fis-1354	43	4	10	10	NUM
fis-1354	43	5	-	-	SYM
fis-1354	43	6	11	11	NUM
fis-1354	43	7	]	]	PUNCT
fis-1354	43	8	to	to	PART
fis-1354	43	9	predict	predict	VERB
fis-1354	43	10	the	the	DET
fis-1354	43	11	fatigue	fatigue	NOUN
fis-1354	43	12	crack	crack	VERB
fis-1354	43	13	propagation	propagation	NOUN
fis-1354	43	14	rates	rate	NOUN
fis-1354	43	15	,	,	PUNCT
fis-1354	43	16	based	base	VERB
fis-1354	43	17	on	on	ADP
fis-1354	43	18	local	local	ADJ
fis-1354	43	19	strain	strain	NOUN
fis-1354	43	20	approach	approach	NOUN
fis-1354	43	21	to	to	ADP
fis-1354	43	22	fatigue	fatigue	NOUN
fis-1354	43	23	.	.	PUNCT
fis-1354	44	1	this	this	DET
fis-1354	44	2	model	model	NOUN
fis-1354	44	3	has	have	AUX
fis-1354	44	4	been	be	AUX
fis-1354	44	5	denoted	denote	VERB
fis-1354	44	6	as	as	ADP
fis-1354	44	7	unigrow	unigrow	PROPN
fis-1354	44	8	model	model	NOUN
fis-1354	44	9	and	and	CCONJ
fis-1354	44	10	classified	classify	VERB
fis-1354	44	11	as	as	ADP
fis-1354	44	12	a	a	DET
fis-1354	44	13	residual	residual	ADJ
fis-1354	44	14	stress	stress	NOUN
fis-1354	44	15	based	base	VERB
fis-1354	44	16	crack	crack	NOUN
fis-1354	44	17	propagation	propagation	NOUN
fis-1354	44	18	model	model	NOUN
fis-1354	44	19	[	[	X
fis-1354	44	20	18	18	NUM
fis-1354	44	21	]	]	PUNCT
fis-1354	44	22	.	.	PUNCT
fis-1354	45	1	the	the	DET
fis-1354	45	2	model	model	NOUN
fis-1354	45	3	is	be	AUX
fis-1354	45	4	applied	apply	VERB
fis-1354	45	5	in	in	ADP
fis-1354	45	6	this	this	DET
fis-1354	45	7	paper	paper	NOUN
fis-1354	45	8	to	to	PART
fis-1354	45	9	derive	derive	VERB
fis-1354	45	10	probabilistic	probabilistic	ADJ
fis-1354	45	11	fatigue	fatigue	NOUN
fis-1354	45	12	crack	crack	NOUN
fis-1354	45	13	propagation	propagation	NOUN
fis-1354	45	14	da	da	PROPN
fis-1354	45	15	/	/	SYM
fis-1354	45	16	dn	dn	NOUN
fis-1354	45	17	-	-	PUNCT
fis-1354	45	18	δk	δk	ADJ
fis-1354	45	19	fields	field	NOUN
fis-1354	45	20	for	for	ADP
fis-1354	45	21	the	the	DET
fis-1354	45	22	s355	s355	PROPN
fis-1354	45	23	structural	structural	ADJ
fis-1354	45	24	mild	mild	ADJ
fis-1354	45	25	steel	steel	NOUN
fis-1354	45	26	,	,	PUNCT
fis-1354	45	27	for	for	ADP
fis-1354	45	28	distinct	distinct	ADJ
fis-1354	45	29	stress	stress	NOUN
fis-1354	45	30	r	r	NOUN
fis-1354	45	31	-	-	PUNCT
fis-1354	45	32	ratios	ratio	NOUN
fis-1354	45	33	(	(	PUNCT
fis-1354	45	34	p	p	NOUN
fis-1354	45	35	-	-	PUNCT
fis-1354	45	36	da	da	NOUN
fis-1354	45	37	/	/	SYM
fis-1354	45	38	dn	dn	NOUN
fis-1354	45	39	-	-	PUNCT
fis-1354	45	40	δk	δk	NOUN
fis-1354	45	41	-	-	PUNCT
fis-1354	45	42	r	r	NOUN
fis-1354	45	43	)	)	PUNCT
fis-1354	45	44	.	.	PUNCT
fis-1354	46	1	results	result	NOUN
fis-1354	46	2	are	be	AUX
fis-1354	46	3	compared	compare	VERB
fis-1354	46	4	with	with	ADP
fis-1354	46	5	available	available	ADJ
fis-1354	46	6	experimental	experimental	ADJ
fis-1354	46	7	fatigue	fatigue	NOUN
fis-1354	46	8	crack	crack	VERB
fis-1354	46	9	propagation	propagation	NOUN
fis-1354	46	10	data	datum	NOUN
fis-1354	46	11	from	from	ADP
fis-1354	46	12	testing	testing	NOUN
fis-1354	46	13	of	of	ADP
fis-1354	46	14	compact	compact	ADJ
fis-1354	46	15	tension	tension	NOUN
fis-1354	46	16	specimens	specimen	NOUN
fis-1354	47	1	[	[	X
fis-1354	47	2	19	19	NUM
fis-1354	47	3	]	]	PUNCT
fis-1354	47	4	.	.	PUNCT
fis-1354	48	1	a	a	DET
fis-1354	48	2	central	central	ADJ
fis-1354	48	3	parameter	parameter	NOUN
fis-1354	48	4	in	in	ADP
fis-1354	48	5	the	the	DET
fis-1354	48	6	unigrow	unigrow	PROPN
fis-1354	48	7	model	model	NOUN
fis-1354	48	8	is	be	AUX
fis-1354	48	9	the	the	DET
fis-1354	48	10	material	material	ADJ
fis-1354	48	11	representative	representative	ADJ
fis-1354	48	12	element	element	NOUN
fis-1354	48	13	size	size	NOUN
fis-1354	48	14	,	,	PUNCT
fis-1354	48	15	ρ	ρ	PROPN
fis-1354	48	16	*	*	PROPN
fis-1354	48	17	,	,	PUNCT
fis-1354	48	18	which	which	PRON
fis-1354	48	19	is	be	AUX
fis-1354	48	20	tuned	tune	VERB
fis-1354	48	21	in	in	ADP
fis-1354	48	22	this	this	DET
fis-1354	48	23	research	research	NOUN
fis-1354	48	24	by	by	ADP
fis-1354	48	25	means	mean	NOUN
fis-1354	48	26	of	of	ADP
fis-1354	48	27	a	a	DET
fis-1354	48	28	trial	trial	NOUN
fis-1354	48	29	and	and	CCONJ
fis-1354	48	30	error	error	NOUN
fis-1354	48	31	procedure	procedure	NOUN
fis-1354	48	32	.	.	PUNCT
fis-1354	49	1	the	the	DET
fis-1354	49	2	elastoplastic	elastoplastic	ADJ
fis-1354	49	3	stresses	stress	NOUN
fis-1354	49	4	at	at	ADP
fis-1354	49	5	the	the	DET
fis-1354	49	6	vicinity	vicinity	NOUN
fis-1354	49	7	of	of	ADP
fis-1354	49	8	the	the	DET
fis-1354	49	9	crack	crack	NOUN
fis-1354	49	10	tip	tip	NOUN
fis-1354	49	11	are	be	AUX
fis-1354	49	12	computed	compute	VERB
fis-1354	49	13	using	use	VERB
fis-1354	49	14	both	both	CCONJ
fis-1354	49	15	simplified	simplified	ADJ
fis-1354	49	16	formulae	formulae	ADJ
fis-1354	49	17	and	and	CCONJ
fis-1354	49	18	elastoplastic	elastoplastic	ADJ
fis-1354	49	19	finite	finite	PROPN
fis-1354	49	20	element	element	NOUN
fis-1354	49	21	analyses	analysis	NOUN
fis-1354	49	22	for	for	ADP
fis-1354	49	23	comparison	comparison	NOUN
fis-1354	49	24	purposes	purpose	NOUN
fis-1354	49	25	.	.	PUNCT
fis-1354	50	1	the	the	DET
fis-1354	50	2	deterministic	deterministic	ADJ
fis-1354	50	3	strain	strain	NOUN
fis-1354	50	4	-	-	PUNCT
fis-1354	50	5	life	life	NOUN
fis-1354	50	6	damage	damage	NOUN
fis-1354	50	7	relation	relation	NOUN
fis-1354	50	8	adopted	adopt	VERB
fis-1354	50	9	in	in	ADP
fis-1354	50	10	the	the	DET
fis-1354	50	11	original	original	ADJ
fis-1354	50	12	unigrow	unigrow	NOUN
fis-1354	50	13	model	model	NOUN
fis-1354	50	14	is	be	AUX
fis-1354	50	15	replaced	replace	VERB
fis-1354	50	16	by	by	ADP
fis-1354	50	17	a	a	DET
fis-1354	50	18	probabilistic	probabilistic	ADJ
fis-1354	50	19	counterpart	counterpart	NOUN
fis-1354	50	20	.	.	PUNCT
fis-1354	51	1	the	the	DET
fis-1354	51	2	probabilistic	probabilistic	ADJ
fis-1354	51	3	model	model	NOUN
fis-1354	51	4	as	as	SCONJ
fis-1354	51	5	proposed	propose	VERB
fis-1354	51	6	by	by	ADP
fis-1354	51	7	castillo	castillo	PROPN
fis-1354	51	8	and	and	CCONJ
fis-1354	51	9	fernández	fernández	PROPN
fis-1354	51	10	-	-	PUNCT
fis-1354	51	11	canteli	canteli	PROPN
fis-1354	52	1	[	[	X
fis-1354	52	2	20	20	NUM
fis-1354	52	3	]	]	PUNCT
fis-1354	52	4	for	for	ADP
fis-1354	52	5	the	the	DET
fis-1354	52	6	strain	strain	NOUN
fis-1354	52	7	-	-	PUNCT
fis-1354	52	8	life	life	NOUN
fis-1354	52	9	field	field	NOUN
fis-1354	52	10	,	,	PUNCT
fis-1354	52	11	based	base	VERB
fis-1354	52	12	on	on	ADP
fis-1354	52	13	weibull	weibull	PROPN
fis-1354	52	14	distribution	distribution	NOUN
fis-1354	52	15	,	,	PUNCT
fis-1354	52	16	was	be	AUX
fis-1354	52	17	generalized	generalize	VERB
fis-1354	52	18	in	in	ADP
fis-1354	52	19	order	order	NOUN
fis-1354	52	20	to	to	PART
fis-1354	52	21	incorporate	incorporate	VERB
fis-1354	52	22	a	a	DET
fis-1354	52	23	damage	damage	NOUN
fis-1354	52	24	parameter	parameter	NOUN
fis-1354	52	25	definition	definition	NOUN
fis-1354	52	26	able	able	ADJ
fis-1354	52	27	to	to	PART
fis-1354	52	28	account	account	VERB
fis-1354	52	29	for	for	ADP
fis-1354	52	30	mean	mean	ADJ
fis-1354	52	31	stress	stress	NOUN
fis-1354	52	32	effects	effect	NOUN
fis-1354	52	33	.	.	PUNCT
fis-1354	53	1	in	in	ADP
fis-1354	53	2	particular	particular	ADJ
fis-1354	53	3	,	,	PUNCT
fis-1354	53	4	the	the	DET
fis-1354	53	5	smith	smith	PROPN
fis-1354	53	6	-	-	PUNCT
fis-1354	53	7	watson	watson	NOUN
fis-1354	53	8	-	-	PUNCT
fis-1354	53	9	topper	topper	NOUN
fis-1354	53	10	damage	damage	NOUN
fis-1354	53	11	parameter	parameter	NOUN
fis-1354	53	12	was	be	AUX
fis-1354	53	13	selected	select	VERB
fis-1354	53	14	resulting	result	VERB
fis-1354	53	15	the	the	DET
fis-1354	53	16	p	p	PROPN
fis-1354	53	17	-	-	PUNCT
fis-1354	53	18	swt	swt	NOUN
fis-1354	53	19	-	-	PUNCT
fis-1354	53	20	n	n	PROPN
fis-1354	53	21	which	which	PRON
fis-1354	53	22	was	be	AUX
fis-1354	53	23	applied	apply	VERB
fis-1354	53	24	to	to	PART
fis-1354	53	25	derive	derive	VERB
fis-1354	53	26	the	the	DET
fis-1354	53	27	probabilistic	probabilistic	ADJ
fis-1354	53	28	crack	crack	NOUN
fis-1354	53	29	propagation	propagation	NOUN
fis-1354	53	30	fields	field	NOUN
fis-1354	53	31	.	.	PUNCT
fis-1354	54	1	theoretical	theoretical	ADJ
fis-1354	54	2	background	background	NOUN
fis-1354	54	3	n	n	CCONJ
fis-1354	54	4	this	this	DET
fis-1354	54	5	section	section	NOUN
fis-1354	54	6	,	,	PUNCT
fis-1354	54	7	an	an	DET
fis-1354	54	8	overview	overview	NOUN
fis-1354	54	9	of	of	ADP
fis-1354	54	10	the	the	DET
fis-1354	54	11	unigrow	unigrow	PROPN
fis-1354	54	12	model	model	NOUN
fis-1354	54	13	that	that	PRON
fis-1354	54	14	has	have	AUX
fis-1354	54	15	been	be	AUX
fis-1354	54	16	proposed	propose	VERB
fis-1354	54	17	to	to	PART
fis-1354	54	18	predict	predict	VERB
fis-1354	54	19	the	the	DET
fis-1354	54	20	fatigue	fatigue	NOUN
fis-1354	54	21	crack	crack	VERB
fis-1354	54	22	growth	growth	NOUN
fis-1354	54	23	by	by	ADP
fis-1354	54	24	means	mean	NOUN
fis-1354	54	25	of	of	ADP
fis-1354	54	26	a	a	DET
fis-1354	54	27	local	local	ADJ
fis-1354	54	28	approach	approach	NOUN
fis-1354	54	29	to	to	ADP
fis-1354	54	30	fatigue	fatigue	NOUN
fis-1354	54	31	,	,	PUNCT
fis-1354	54	32	is	be	AUX
fis-1354	54	33	presented	present	VERB
fis-1354	54	34	.	.	PUNCT
fis-1354	55	1	also	also	ADV
fis-1354	55	2	,	,	PUNCT
fis-1354	55	3	a	a	DET
fis-1354	55	4	recently	recently	ADV
fis-1354	55	5	proposed	propose	VERB
fis-1354	55	6	probabilistic	probabilistic	ADJ
fis-1354	55	7	strain	strain	NOUN
fis-1354	55	8	-	-	PUNCT
fis-1354	55	9	life	life	NOUN
fis-1354	55	10	model	model	NOUN
fis-1354	55	11	is	be	AUX
fis-1354	55	12	introduced	introduce	VERB
fis-1354	55	13	.	.	PUNCT
fis-1354	56	1	an	an	DET
fis-1354	56	2	extension	extension	NOUN
fis-1354	56	3	/	/	SYM
fis-1354	56	4	generalization	generalization	NOUN
fis-1354	56	5	of	of	ADP
fis-1354	56	6	the	the	DET
fis-1354	56	7	probabilistic	probabilistic	ADJ
fis-1354	56	8	strain	strain	NOUN
fis-1354	56	9	-	-	PUNCT
fis-1354	56	10	life	life	NOUN
fis-1354	56	11	approach	approach	NOUN
fis-1354	56	12	,	,	PUNCT
fis-1354	56	13	to	to	PART
fis-1354	56	14	account	account	VERB
fis-1354	56	15	for	for	ADP
fis-1354	56	16	mean	mean	ADJ
fis-1354	56	17	stress	stress	NOUN
fis-1354	56	18	effects	effect	NOUN
fis-1354	56	19	,	,	PUNCT
fis-1354	56	20	is	be	AUX
fis-1354	56	21	proposed	propose	VERB
fis-1354	56	22	which	which	PRON
fis-1354	56	23	will	will	AUX
fis-1354	56	24	be	be	AUX
fis-1354	56	25	applied	apply	VERB
fis-1354	56	26	latter	latter	ADV
fis-1354	56	27	,	,	PUNCT
fis-1354	56	28	in	in	ADP
fis-1354	56	29	this	this	DET
fis-1354	56	30	chapter	chapter	NOUN
fis-1354	56	31	,	,	PUNCT
fis-1354	56	32	in	in	ADP
fis-1354	56	33	conjunction	conjunction	NOUN
fis-1354	56	34	with	with	ADP
fis-1354	56	35	the	the	DET
fis-1354	56	36	unigrow	unigrow	PROPN
fis-1354	56	37	model	model	NOUN
fis-1354	56	38	to	to	PART
fis-1354	56	39	predict	predict	VERB
fis-1354	56	40	probabilistic	probabilistic	ADJ
fis-1354	56	41	fatigue	fatigue	NOUN
fis-1354	56	42	crack	crack	NOUN
fis-1354	56	43	propagation	propagation	NOUN
fis-1354	56	44	data	datum	NOUN
fis-1354	56	45	.	.	PUNCT
fis-1354	57	1	overview	overview	NOUN
fis-1354	57	2	of	of	ADP
fis-1354	57	3	the	the	DET
fis-1354	57	4	deterministic	deterministic	ADJ
fis-1354	57	5	unigrow	unigrow	PROPN
fis-1354	57	6	model	model	NOUN
fis-1354	57	7	the	the	DET
fis-1354	57	8	unigrow	unigrow	PROPN
fis-1354	57	9	model	model	NOUN
fis-1354	57	10	as	as	SCONJ
fis-1354	57	11	proposed	propose	VERB
fis-1354	57	12	by	by	ADP
fis-1354	57	13	noroozi	noroozi	PROPN
fis-1354	57	14	et	et	PROPN
fis-1354	57	15	al	al	PROPN
fis-1354	57	16	.	.	PUNCT
fis-1354	58	1	[	[	X
fis-1354	58	2	1	1	X
fis-1354	58	3	]	]	PUNCT
fis-1354	58	4	is	be	AUX
fis-1354	58	5	supported	support	VERB
fis-1354	58	6	on	on	ADP
fis-1354	58	7	the	the	DET
fis-1354	58	8	following	following	ADJ
fis-1354	58	9	assumptions	assumption	NOUN
fis-1354	58	10	:	:	PUNCT
fis-1354	58	11	the	the	DET
fis-1354	58	12	material	material	NOUN
fis-1354	58	13	is	be	AUX
fis-1354	58	14	composed	compose	VERB
fis-1354	58	15	of	of	ADP
fis-1354	58	16	elementary	elementary	ADJ
fis-1354	58	17	particles	particle	NOUN
fis-1354	58	18	of	of	ADP
fis-1354	58	19	a	a	DET
fis-1354	58	20	finite	finite	ADJ
fis-1354	58	21	dimension	dimension	NOUN
fis-1354	58	22	ρ	ρ	PROPN
fis-1354	58	23	*	*	VERB
fis-1354	58	24	also	also	ADV
fis-1354	58	25	called	call	VERB
fis-1354	58	26	material	material	ADJ
fis-1354	58	27	representative	representative	ADJ
fis-1354	58	28	elements	element	NOUN
fis-1354	58	29	,	,	PUNCT
fis-1354	58	30	below	below	ADP
fis-1354	58	31	which	which	DET
fis-1354	58	32	material	material	NOUN
fis-1354	58	33	can	can	AUX
fis-1354	58	34	not	not	PART
fis-1354	58	35	be	be	AUX
fis-1354	58	36	regarded	regard	VERB
fis-1354	58	37	as	as	ADP
fis-1354	58	38	a	a	DET
fis-1354	58	39	continuum	continuum	ADJ
fis-1354	58	40	,	,	PUNCT
fis-1354	58	41	fig	fig	NOUN
fis-1354	58	42	.	.	PUNCT
fis-1354	59	1	1.a	1.a	NUM
fis-1354	59	2	)	)	PUNCT
fis-1354	59	3	;	;	PUNCT
fis-1354	59	4	the	the	DET
fis-1354	59	5	fatigue	fatigue	NOUN
fis-1354	59	6	crack	crack	NOUN
fis-1354	59	7	tip	tip	NOUN
fis-1354	59	8	is	be	AUX
fis-1354	59	9	considered	consider	VERB
fis-1354	59	10	equivalent	equivalent	ADJ
fis-1354	59	11	to	to	ADP
fis-1354	59	12	a	a	DET
fis-1354	59	13	notch	notch	NOUN
fis-1354	59	14	with	with	ADP
fis-1354	59	15	a	a	DET
fis-1354	59	16	radius	radius	NOUN
fis-1354	59	17	equal	equal	ADJ
fis-1354	59	18	to	to	ADP
fis-1354	59	19	ρ	ρ	PROPN
fis-1354	59	20	*	*	PROPN
fis-1354	59	21	,	,	PUNCT
fis-1354	59	22	fig	fig	NOUN
fis-1354	59	23	.	.	PUNCT
fis-1354	60	1	1.b	1.b	NUM
fis-1354	60	2	)	)	PUNCT
fis-1354	60	3	.	.	PUNCT
fis-1354	61	1	i	i	PRON
fis-1354	61	2	j.a.f.o	j.a.f.o	PROPN
fis-1354	61	3	.	.	PUNCT
fis-1354	61	4	correia	correia	PROPN
fis-1354	61	5	et	et	PROPN
fis-1354	61	6	alii	alii	PROPN
fis-1354	61	7	,	,	PUNCT
fis-1354	61	8	frattura	frattura	PROPN
fis-1354	61	9	ed	ed	PROPN
fis-1354	61	10	integrità	integrità	PROPN
fis-1354	61	11	strutturale	strutturale	PROPN
fis-1354	61	12	,	,	PUNCT
fis-1354	61	13	31	31	NUM
fis-1354	61	14	(	(	PUNCT
fis-1354	61	15	2015	2015	NUM
fis-1354	61	16	)	)	PUNCT
fis-1354	61	17	80	80	NUM
fis-1354	61	18	-	-	SYM
fis-1354	61	19	96	96	NUM
fis-1354	61	20	;	;	PUNCT
fis-1354	61	21	doi	doi	NOUN
fis-1354	61	22	:	:	PUNCT
fis-1354	61	23	10.3221	10.3221	NUM
fis-1354	61	24	/	/	SYM
fis-1354	61	25	igf	igf	PROPN
fis-1354	61	26	-	-	NOUN
fis-1354	61	27	esis.31.07	esis.31.07	PROPN
fis-1354	61	28	82	82	NUM
fis-1354	61	29	the	the	DET
fis-1354	61	30	fatigue	fatigue	NOUN
fis-1354	61	31	crack	crack	VERB
fis-1354	61	32	growth	growth	NOUN
fis-1354	61	33	results	result	NOUN
fis-1354	61	34	from	from	ADP
fis-1354	61	35	a	a	DET
fis-1354	61	36	process	process	NOUN
fis-1354	61	37	of	of	ADP
fis-1354	61	38	successive	successive	ADJ
fis-1354	61	39	crack	crack	NOUN
fis-1354	61	40	increments	increment	NOUN
fis-1354	61	41	due	due	ADP
fis-1354	61	42	to	to	PART
fis-1354	61	43	crack	crack	VERB
fis-1354	61	44	re	re	NOUN
fis-1354	61	45	-	-	NOUN
fis-1354	61	46	initializations	initialization	NOUN
fis-1354	61	47	over	over	ADP
fis-1354	61	48	the	the	DET
fis-1354	61	49	distance	distance	NOUN
fis-1354	61	50	ρ	ρ	NOUN
fis-1354	61	51	*	*	NOUN
fis-1354	61	52	.	.	PUNCT
fis-1354	62	1	thus	thus	ADV
fis-1354	62	2	,	,	PUNCT
fis-1354	62	3	the	the	DET
fis-1354	62	4	fatigue	fatigue	NOUN
fis-1354	62	5	crack	crack	VERB
fis-1354	62	6	growth	growth	NOUN
fis-1354	62	7	rate	rate	NOUN
fis-1354	62	8	can	can	AUX
fis-1354	62	9	be	be	AUX
fis-1354	62	10	established	establish	VERB
fis-1354	62	11	according	accord	VERB
fis-1354	62	12	the	the	DET
fis-1354	62	13	following	follow	VERB
fis-1354	62	14	relation	relation	NOUN
fis-1354	62	15	:	:	PUNCT
fis-1354	62	16	fn	fn	NOUN
fis-1354	62	17	ρ	ρ	NUM
fis-1354	62	18	dn	dn	PROPN
fis-1354	62	19	da	da	PROPN
fis-1354	63	1	*	*	PUNCT
fis-1354	63	2			NUM
fis-1354	63	3	(	(	PUNCT
fis-1354	63	4	1	1	NUM
fis-1354	63	5	)	)	PUNCT
fis-1354	63	6	where	where	SCONJ
fis-1354	63	7	nf	nf	NOUN
fis-1354	63	8	is	be	AUX
fis-1354	63	9	the	the	DET
fis-1354	63	10	number	number	NOUN
fis-1354	63	11	of	of	ADP
fis-1354	63	12	cycles	cycle	NOUN
fis-1354	63	13	required	require	VERB
fis-1354	63	14	to	to	PART
fis-1354	63	15	fail	fail	VERB
fis-1354	63	16	the	the	DET
fis-1354	63	17	material	material	ADJ
fis-1354	63	18	representative	representative	NOUN
fis-1354	63	19	element	element	NOUN
fis-1354	63	20	,	,	PUNCT
fis-1354	63	21	which	which	PRON
fis-1354	63	22	can	can	AUX
fis-1354	63	23	be	be	AUX
fis-1354	63	24	computed	compute	VERB
fis-1354	63	25	using	use	VERB
fis-1354	63	26	a	a	DET
fis-1354	63	27	fatigue	fatigue	NOUN
fis-1354	63	28	damage	damage	NOUN
fis-1354	63	29	relation	relation	NOUN
fis-1354	63	30	such	such	ADJ
fis-1354	63	31	as	as	ADP
fis-1354	63	32	the	the	DET
fis-1354	63	33	so	so	ADV
fis-1354	63	34	-	-	PUNCT
fis-1354	63	35	called	call	VERB
fis-1354	63	36	strain	strain	NOUN
fis-1354	63	37	-	-	PUNCT
fis-1354	63	38	life	life	NOUN
fis-1354	63	39	relations	relation	NOUN
fis-1354	63	40	.	.	PUNCT
fis-1354	64	1	(	(	PUNCT
fis-1354	64	2	a	a	X
fis-1354	64	3	)	)	PUNCT
fis-1354	64	4	(	(	PUNCT
fis-1354	64	5	b	b	X
fis-1354	64	6	)	)	PUNCT
fis-1354	64	7	figure	figure	NOUN
fis-1354	64	8	1	1	NUM
fis-1354	64	9	:	:	PUNCT
fis-1354	64	10	crack	crack	VERB
fis-1354	64	11	configuration	configuration	NOUN
fis-1354	64	12	according	accord	VERB
fis-1354	64	13	to	to	ADP
fis-1354	64	14	the	the	DET
fis-1354	64	15	unigrow	unigrow	PROPN
fis-1354	64	16	model	model	NOUN
fis-1354	64	17	:	:	PUNCT
fis-1354	64	18	a	a	X
fis-1354	64	19	)	)	PUNCT
fis-1354	64	20	crack	crack	VERB
fis-1354	64	21	and	and	CCONJ
fis-1354	64	22	the	the	DET
fis-1354	64	23	discrete	discrete	ADJ
fis-1354	64	24	elementary	elementary	ADJ
fis-1354	64	25	material	material	NOUN
fis-1354	64	26	blocks	block	NOUN
fis-1354	64	27	;	;	PUNCT
fis-1354	64	28	b	b	X
fis-1354	64	29	)	)	PUNCT
fis-1354	64	30	crack	crack	VERB
fis-1354	64	31	geometry	geometry	NOUN
fis-1354	64	32	at	at	ADP
fis-1354	64	33	the	the	DET
fis-1354	64	34	tensile	tensile	NOUN
fis-1354	64	35	maximum	maximum	ADJ
fis-1354	64	36	and	and	CCONJ
fis-1354	64	37	compressive	compressive	ADJ
fis-1354	64	38	minimum	minimum	ADJ
fis-1354	64	39	loads	load	NOUN
fis-1354	65	1	[	[	X
fis-1354	65	2	1	1	NUM
fis-1354	65	3	]	]	PUNCT
fis-1354	65	4	.	.	PUNCT
fis-1354	66	1	noroozi	noroozi	PROPN
fis-1354	66	2	et	et	PROPN
fis-1354	66	3	al	al	PROPN
fis-1354	66	4	.	.	PUNCT
fis-1354	67	1	[	[	X
fis-1354	67	2	1	1	X
fis-1354	67	3	]	]	PUNCT
fis-1354	67	4	suggested	suggest	VERB
fis-1354	67	5	the	the	DET
fis-1354	67	6	use	use	NOUN
fis-1354	67	7	of	of	ADP
fis-1354	67	8	a	a	DET
fis-1354	67	9	strain	strain	NOUN
fis-1354	67	10	-	-	PUNCT
fis-1354	67	11	life	life	NOUN
fis-1354	67	12	relation	relation	NOUN
fis-1354	67	13	based	base	VERB
fis-1354	67	14	on	on	ADP
fis-1354	67	15	smith	smith	PROPN
fis-1354	67	16	,	,	PUNCT
fis-1354	67	17	watson	watson	PROPN
fis-1354	67	18	and	and	CCONJ
fis-1354	67	19	topper	topper	NOUN
fis-1354	67	20	fatigue	fatigue	NOUN
fis-1354	67	21	damage	damage	NOUN
fis-1354	67	22	parameter	parameter	NOUN
fis-1354	68	1	[	[	X
fis-1354	68	2	8	8	NUM
fis-1354	68	3	]	]	SYM
fis-1354	68	4	:	:	PUNCT
fis-1354	68	5			NOUN
fis-1354	69	1			SYM
fis-1354	69	2			NOUN
fis-1354	69	3			SYM
fis-1354	69	4			NOUN
fis-1354	69	5			PROPN
fis-1354	69	6	cb	cb	PROPN
fis-1354	69	7	fff	fff	PROPN
fis-1354	69	8	b	b	PROPN
fis-1354	70	1	ff	ff	PROPN
fis-1354	70	2	nεσenσswtεσ	nεσenσswtεσ	PROPN
fis-1354	70	3			PROPN
fis-1354	70	4	2''2'2δ	2''2'2δ	NUM
fis-1354	70	5	22	22	NUM
fis-1354	70	6	max	max	NOUN
fis-1354	70	7	(	(	PUNCT
fis-1354	70	8	2	2	NUM
fis-1354	70	9	)	)	PUNCT
fis-1354	70	10	alternatively	alternatively	ADV
fis-1354	70	11	,	,	PUNCT
fis-1354	70	12	peeker	peeker	NOUN
fis-1354	70	13	and	and	CCONJ
fis-1354	70	14	niemi	niemi	PROPN
fis-1354	71	1	[	[	X
fis-1354	71	2	12	12	NUM
fis-1354	71	3	]	]	PUNCT
fis-1354	71	4	in	in	ADP
fis-1354	71	5	a	a	DET
fis-1354	71	6	similar	similar	ADJ
fis-1354	71	7	approach	approach	NOUN
fis-1354	71	8	for	for	ADP
fis-1354	71	9	the	the	DET
fis-1354	71	10	fatigue	fatigue	NOUN
fis-1354	71	11	crack	crack	NOUN
fis-1354	71	12	propagation	propagation	NOUN
fis-1354	71	13	suggested	suggest	VERB
fis-1354	71	14	the	the	DET
fis-1354	71	15	use	use	NOUN
fis-1354	71	16	of	of	ADP
fis-1354	71	17	the	the	DET
fis-1354	71	18	morrow	morrow	NOUN
fis-1354	71	19	’s	’s	PART
fis-1354	71	20	equation	equation	NOUN
fis-1354	71	21	[	[	X
fis-1354	71	22	7	7	X
fis-1354	71	23	]	]	PUNCT
fis-1354	71	24	to	to	PART
fis-1354	71	25	compute	compute	VERB
fis-1354	71	26	the	the	DET
fis-1354	71	27	failure	failure	NOUN
fis-1354	71	28	of	of	ADP
fis-1354	71	29	the	the	DET
fis-1354	71	30	material	material	NOUN
fis-1354	71	31	representative	representative	NOUN
fis-1354	71	32	element	element	NOUN
fis-1354	71	33	:	:	PUNCT
fis-1354	71	34			NOUN
fis-1354	71	35			PROPN
fis-1354	71	36			NOUN
fis-1354	71	37			VERB
fis-1354	71	38	'	'	PART
fis-1354	71	39	2	2	NUM
fis-1354	71	40	'	'	NUM
fis-1354	71	41	2	2	NUM
fis-1354	71	42	2	2	NUM
fis-1354	71	43	b	b	NOUN
fis-1354	71	44	cf	cf	NOUN
fis-1354	71	45	m	m	NOUN
fis-1354	71	46	f	f	NOUN
fis-1354	72	1	f	f	PROPN
fis-1354	72	2	fn	fn	NOUN
fis-1354	72	3	n	n	ADV
fis-1354	72	4	e	e	X
fis-1354	72	5			PROPN
fis-1354	72	6			PROPN
fis-1354	72	7			PROPN
fis-1354	72	8			PROPN
fis-1354	72	9			PROPN
fis-1354	72	10			PROPN
fis-1354	72	11			ADJ
fis-1354	72	12			PROPN
fis-1354	72	13	(	(	PUNCT
fis-1354	72	14	3	3	NUM
fis-1354	72	15	)	)	PUNCT
fis-1354	72	16	the	the	DET
fis-1354	72	17	morrow	morrow	NOUN
fis-1354	72	18	’s	’s	PART
fis-1354	72	19	equation	equation	NOUN
fis-1354	72	20	was	be	AUX
fis-1354	72	21	derived	derive	VERB
fis-1354	72	22	from	from	ADP
fis-1354	72	23	the	the	DET
fis-1354	72	24	coffin	coffin	NOUN
fis-1354	72	25	-	-	PUNCT
fis-1354	72	26	manson	manson	NOUN
fis-1354	72	27	relation	relation	NOUN
fis-1354	72	28	[	[	X
fis-1354	72	29	6	6	NUM
fis-1354	72	30	,	,	PUNCT
fis-1354	72	31	7	7	NUM
fis-1354	72	32	]	]	PUNCT
fis-1354	72	33	of	of	ADP
fis-1354	72	34	the	the	DET
fis-1354	72	35	material	material	NOUN
fis-1354	72	36	,	,	PUNCT
fis-1354	72	37	and	and	CCONJ
fis-1354	72	38	allows	allow	VERB
fis-1354	72	39	mean	mean	VERB
fis-1354	72	40	stress	stress	NOUN
fis-1354	72	41	effects	effect	NOUN
fis-1354	72	42	to	to	PART
fis-1354	72	43	be	be	AUX
fis-1354	72	44	accounted	account	VERB
fis-1354	72	45	for	for	ADP
fis-1354	72	46	:	:	PUNCT
fis-1354	72	47			NOUN
fis-1354	72	48			PROPN
fis-1354	72	49			NOUN
fis-1354	73	1	cff	cff	NOUN
fis-1354	74	1	b	b	X
fis-1354	74	2	f	f	X
fis-1354	74	3	f	f	PROPN
fis-1354	74	4	nεn	nεn	PROPN
fis-1354	74	5	e	e	PROPN
fis-1354	74	6	σε	σε	ADP
fis-1354	74	7	2'2	2'2	NUM
fis-1354	74	8	'	'	PART
fis-1354	74	9	2	2	NUM
fis-1354	74	10	δ	δ	NOUN
fis-1354	74	11			PUNCT
fis-1354	74	12	(	(	PUNCT
fis-1354	74	13	4	4	X
fis-1354	74	14	)	)	PUNCT
fis-1354	74	15	swt	swt	PROPN
fis-1354	74	16	-	-	PUNCT
fis-1354	74	17	life	life	NOUN
fis-1354	74	18	equation	equation	NOUN
fis-1354	74	19	,	,	PUNCT
fis-1354	74	20	eq	eq	NOUN
fis-1354	74	21	.	.	PUNCT
fis-1354	75	1	(	(	PUNCT
fis-1354	75	2	2	2	NUM
fis-1354	75	3	)	)	PUNCT
fis-1354	75	4	,	,	PUNCT
fis-1354	75	5	was	be	AUX
fis-1354	75	6	originally	originally	ADV
fis-1354	75	7	derived	derive	VERB
fis-1354	75	8	by	by	ADP
fis-1354	75	9	the	the	DET
fis-1354	75	10	multiplication	multiplication	NOUN
fis-1354	75	11	of	of	ADP
fis-1354	75	12	the	the	DET
fis-1354	75	13	coffin	coffin	NOUN
fis-1354	75	14	-	-	PUNCT
fis-1354	75	15	manson	manson	NOUN
fis-1354	75	16	eq	eq	NOUN
fis-1354	75	17	.	.	PUNCT
fis-1354	76	1	(	(	PUNCT
fis-1354	76	2	4	4	NUM
fis-1354	76	3	)	)	PUNCT
fis-1354	76	4	by	by	ADP
fis-1354	76	5	the	the	DET
fis-1354	76	6	basquin	basquin	NOUN
fis-1354	76	7	relation	relation	NOUN
fis-1354	77	1	[	[	X
fis-1354	77	2	21	21	NUM
fis-1354	77	3	]	]	PUNCT
fis-1354	77	4	available	available	ADJ
fis-1354	77	5	for	for	ADP
fis-1354	77	6	a	a	DET
fis-1354	77	7	stress	stress	NOUN
fis-1354	77	8	r	r	NOUN
fis-1354	77	9	-	-	PUNCT
fis-1354	77	10	ratio	ratio	NOUN
fis-1354	77	11	equal	equal	ADJ
fis-1354	77	12	to	to	ADP
fis-1354	77	13	−1	−1	ADV
fis-1354	77	14	:	:	PUNCT
fis-1354	77	15			PROPN
fis-1354	77	16	bff	bff	VERB
fis-1354	77	17	nσσ	nσσ	PROPN
fis-1354	77	18	σ	σ	PROPN
fis-1354	77	19	2	2	PROPN
fis-1354	77	20	'	'	PART
fis-1354	77	21	2	2	NUM
fis-1354	77	22	δ	δ	NOUN
fis-1354	77	23	max	max	NOUN
fis-1354	77	24			PROPN
fis-1354	78	1	(	(	PUNCT
fis-1354	78	2	5	5	NUM
fis-1354	78	3	)	)	PUNCT
fis-1354	78	4	in	in	ADP
fis-1354	78	5	the	the	DET
fis-1354	78	6	previous	previous	ADJ
fis-1354	78	7	two	two	NUM
fis-1354	78	8	equations	equation	NOUN
fis-1354	78	9	,	,	PUNCT
fis-1354	78	10	fσ	fσ	PRON
fis-1354	78	11	'	'	PUNCT
fis-1354	78	12	and	and	CCONJ
fis-1354	78	13	b	b	X
fis-1354	78	14	represents	represent	NOUN
fis-1354	78	15	,	,	PUNCT
fis-1354	78	16	respectively	respectively	ADV
fis-1354	78	17	,	,	PUNCT
fis-1354	78	18	the	the	DET
fis-1354	78	19	fatigue	fatigue	NOUN
fis-1354	78	20	strength	strength	NOUN
fis-1354	78	21	coefficient	coefficient	NOUN
fis-1354	78	22	and	and	CCONJ
fis-1354	78	23	exponent	exponent	NOUN
fis-1354	78	24	;	;	PUNCT
fis-1354	78	25	fε	fε	NOUN
fis-1354	78	26	'	'	PUNCT
fis-1354	78	27	and	and	CCONJ
fis-1354	78	28	c	c	NOUN
fis-1354	78	29	represents	represent	VERB
fis-1354	78	30	,	,	PUNCT
fis-1354	78	31	respectively	respectively	ADV
fis-1354	78	32	,	,	PUNCT
fis-1354	78	33	the	the	DET
fis-1354	78	34	fatigue	fatigue	NOUN
fis-1354	78	35	ductility	ductility	NOUN
fis-1354	78	36	coefficient	coefficient	NOUN
fis-1354	78	37	and	and	CCONJ
fis-1354	78	38	exponent	exponent	NOUN
fis-1354	78	39	and	and	CCONJ
fis-1354	78	40	e	e	NOUN
fis-1354	78	41	is	be	AUX
fis-1354	78	42	the	the	DET
fis-1354	78	43	young	young	ADJ
fis-1354	78	44	modulus	modulus	NOUN
fis-1354	78	45	.	.	PUNCT
fis-1354	79	1	the	the	DET
fis-1354	79	2	maximum	maximum	ADJ
fis-1354	79	3	stress	stress	NOUN
fis-1354	79	4	,	,	PUNCT
fis-1354	79	5	σmax	σmax	NOUN
fis-1354	79	6	,	,	PUNCT
fis-1354	79	7	mean	mean	VERB
fis-1354	79	8	stress	stress	NOUN
fis-1354	79	9	,	,	PUNCT
fis-1354	79	10	σm	σm	NOUN
fis-1354	79	11	,	,	PUNCT
fis-1354	79	12	and	and	CCONJ
fis-1354	79	13	the	the	DET
fis-1354	79	14	strain	strain	NOUN
fis-1354	79	15	range	range	NOUN
fis-1354	79	16	,	,	PUNCT
fis-1354	79	17	ε	ε	PRON
fis-1354	79	18	have	have	VERB
fis-1354	79	19	to	to	PART
fis-1354	79	20	be	be	AUX
fis-1354	79	21	evaluated	evaluate	VERB
fis-1354	79	22	as	as	ADP
fis-1354	79	23	the	the	DET
fis-1354	79	24	average	average	ADJ
fis-1354	79	25	values	value	NOUN
fis-1354	79	26	at	at	ADP
fis-1354	79	27	the	the	DET
fis-1354	79	28	elementary	elementary	ADJ
fis-1354	79	29	material	material	NOUN
fis-1354	79	30	block	block	NOUN
fis-1354	79	31	size	size	NOUN
fis-1354	79	32	,	,	PUNCT
fis-1354	79	33	ρ	ρ	PROPN
fis-1354	79	34	*	*	PUNCT
fis-1354	79	35	,	,	PUNCT
fis-1354	79	36	taking	take	VERB
fis-1354	79	37	into	into	ADP
fis-1354	79	38	account	account	NOUN
fis-1354	79	39	an	an	DET
fis-1354	79	40	elastoplastic	elastoplastic	ADJ
fis-1354	79	41	analysis	analysis	NOUN
fis-1354	79	42	.	.	PUNCT
fis-1354	80	1	to	to	PART
fis-1354	80	2	compute	compute	VERB
fis-1354	80	3	the	the	DET
fis-1354	80	4	elastoplastic	elastoplastic	ADJ
fis-1354	80	5	stresses	stress	NOUN
fis-1354	80	6	and	and	CCONJ
fis-1354	80	7	strains	strain	VERB
fis-1354	80	8	at	at	ADP
fis-1354	80	9	the	the	DET
fis-1354	80	10	elementary	elementary	ADJ
fis-1354	80	11	material	material	NOUN
fis-1354	80	12	blocks	block	NOUN
fis-1354	80	13	ahead	ahead	ADV
fis-1354	80	14	of	of	ADP
fis-1354	80	15	the	the	DET
fis-1354	80	16	crack	crack	NOUN
fis-1354	80	17	tip	tip	NOUN
fis-1354	80	18	,	,	PUNCT
fis-1354	80	19	noroozi	noroozi	PROPN
fis-1354	80	20	et	et	PROPN
fis-1354	80	21	al	al	PROPN
fis-1354	80	22	.	.	PUNCT
fis-1354	81	1	[	[	X
fis-1354	81	2	1,10	1,10	NUM
fis-1354	81	3	]	]	PUNCT
fis-1354	81	4	proposed	propose	VERB
fis-1354	81	5	the	the	DET
fis-1354	81	6	following	follow	VERB
fis-1354	81	7	analytical	analytical	ADJ
fis-1354	81	8	procedure	procedure	NOUN
fis-1354	81	9	:	:	PUNCT
fis-1354	81	10	the	the	DET
fis-1354	81	11	elastic	elastic	ADJ
fis-1354	81	12	stresses	stress	NOUN
fis-1354	81	13	are	be	AUX
fis-1354	81	14	computed	compute	VERB
fis-1354	81	15	ahead	ahead	ADV
fis-1354	81	16	of	of	ADP
fis-1354	81	17	the	the	DET
fis-1354	81	18	crack	crack	NOUN
fis-1354	81	19	tip	tip	NOUN
fis-1354	81	20	,	,	PUNCT
fis-1354	81	21	using	use	VERB
fis-1354	81	22	the	the	DET
fis-1354	81	23	creager	creager	PROPN
fis-1354	81	24	-	-	PUNCT
fis-1354	81	25	paris	paris	PROPN
fis-1354	81	26	solution	solution	NOUN
fis-1354	82	1	[	[	X
fis-1354	82	2	22	22	NUM
fis-1354	82	3	]	]	PUNCT
fis-1354	82	4	for	for	ADP
fis-1354	82	5	a	a	DET
fis-1354	82	6	crack	crack	NOUN
fis-1354	82	7	with	with	ADP
fis-1354	82	8	a	a	DET
fis-1354	82	9	tip	tip	NOUN
fis-1354	82	10	radius	radius	NOUN
fis-1354	82	11	ρ	ρ	PROPN
fis-1354	82	12	*	*	PROPN
fis-1354	82	13	,	,	PUNCT
fis-1354	82	14	using	use	VERB
fis-1354	82	15	the	the	DET
fis-1354	82	16	applied	apply	VERB
fis-1354	82	17	stress	stress	NOUN
fis-1354	82	18	intensity	intensity	NOUN
fis-1354	82	19	factors	factor	NOUN
fis-1354	82	20	.	.	PUNCT
fis-1354	83	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	83	2	.	.	PUNCT
fis-1354	83	3	correia	correia	PROPN
fis-1354	83	4	et	et	PROPN
fis-1354	83	5	alii	alii	PROPN
fis-1354	83	6	,	,	PUNCT
fis-1354	83	7	frattura	frattura	PROPN
fis-1354	83	8	ed	ed	PROPN
fis-1354	83	9	integrità	integrità	PROPN
fis-1354	83	10	strutturale	strutturale	PROPN
fis-1354	83	11	,	,	PUNCT
fis-1354	83	12	31	31	NUM
fis-1354	83	13	(	(	PUNCT
fis-1354	83	14	2015	2015	NUM
fis-1354	83	15	)	)	PUNCT
fis-1354	83	16	80	80	NUM
fis-1354	83	17	-	-	SYM
fis-1354	83	18	96	96	NUM
fis-1354	83	19	;	;	PUNCT
fis-1354	83	20	doi	doi	NOUN
fis-1354	83	21	:	:	PUNCT
fis-1354	83	22	10.3221	10.3221	NUM
fis-1354	83	23	/	/	SYM
fis-1354	83	24	igf	igf	PROPN
fis-1354	83	25	-	-	ADJ
fis-1354	83	26	esis.31.07	esis.31.07	PROPN
fis-1354	83	27	83	83	NUM
fis-1354	83	28	the	the	DET
fis-1354	83	29	actual	actual	ADJ
fis-1354	83	30	elastoplastic	elastoplastic	ADJ
fis-1354	83	31	stresses	stress	NOUN
fis-1354	83	32	and	and	CCONJ
fis-1354	83	33	strains	strain	NOUN
fis-1354	83	34	,	,	PUNCT
fis-1354	83	35	ahead	ahead	ADV
fis-1354	83	36	of	of	ADP
fis-1354	83	37	the	the	DET
fis-1354	83	38	crack	crack	NOUN
fis-1354	83	39	tip	tip	NOUN
fis-1354	83	40	,	,	PUNCT
fis-1354	83	41	are	be	AUX
fis-1354	83	42	computed	compute	VERB
fis-1354	83	43	using	use	VERB
fis-1354	83	44	the	the	DET
fis-1354	83	45	neuber	neuber	NOUN
fis-1354	84	1	[	[	X
fis-1354	84	2	15	15	NUM
fis-1354	84	3	]	]	PUNCT
fis-1354	84	4	or	or	CCONJ
fis-1354	84	5	glinka	glinka	PROPN
fis-1354	84	6	’s	’s	PART
fis-1354	84	7	approaches	approach	NOUN
fis-1354	84	8	[	[	X
fis-1354	84	9	23	23	NUM
fis-1354	84	10	]	]	PUNCT
fis-1354	84	11	.	.	PUNCT
fis-1354	85	1	multiaxial	multiaxial	ADJ
fis-1354	85	2	approaches	approach	NOUN
fis-1354	85	3	may	may	AUX
fis-1354	85	4	be	be	AUX
fis-1354	85	5	adopted	adopt	VERB
fis-1354	85	6	using	use	VERB
fis-1354	85	7	the	the	DET
fis-1354	85	8	procedures	procedure	NOUN
fis-1354	85	9	presented	present	VERB
fis-1354	85	10	by	by	ADP
fis-1354	85	11	moftakhar	moftakhar	PROPN
fis-1354	85	12	et	et	PROPN
fis-1354	85	13	al	al	PROPN
fis-1354	85	14	.	.	PUNCT
fis-1354	86	1	[	[	X
fis-1354	86	2	16	16	NUM
fis-1354	86	3	]	]	PUNCT
fis-1354	86	4	and	and	CCONJ
fis-1354	86	5	reinhard	reinhard	PROPN
fis-1354	86	6	et	et	PROPN
fis-1354	86	7	al	al	PROPN
fis-1354	86	8	.	.	PUNCT
fis-1354	87	1	[	[	X
fis-1354	87	2	17	17	NUM
fis-1354	87	3	]	]	PUNCT
fis-1354	87	4	.	.	PUNCT
fis-1354	88	1	the	the	DET
fis-1354	88	2	residual	residual	ADJ
fis-1354	88	3	stress	stress	NOUN
fis-1354	88	4	distribution	distribution	NOUN
fis-1354	88	5	ahead	ahead	ADV
fis-1354	88	6	of	of	ADP
fis-1354	88	7	the	the	DET
fis-1354	88	8	crack	crack	NOUN
fis-1354	88	9	tip	tip	NOUN
fis-1354	88	10	is	be	AUX
fis-1354	88	11	computed	compute	VERB
fis-1354	88	12	using	use	VERB
fis-1354	88	13	the	the	DET
fis-1354	88	14	actual	actual	ADJ
fis-1354	88	15	elastoplastic	elastoplastic	ADJ
fis-1354	88	16	stresses	stress	NOUN
fis-1354	88	17	computed	compute	VERB
fis-1354	88	18	at	at	ADP
fis-1354	88	19	the	the	DET
fis-1354	88	20	end	end	NOUN
fis-1354	88	21	of	of	ADP
fis-1354	88	22	the	the	DET
fis-1354	88	23	first	first	ADJ
fis-1354	88	24	load	load	NOUN
fis-1354	88	25	reversal	reversal	NOUN
fis-1354	88	26	and	and	CCONJ
fis-1354	88	27	subsequent	subsequent	ADJ
fis-1354	88	28	cyclic	cyclic	ADJ
fis-1354	88	29	elastoplastic	elastoplastic	ADJ
fis-1354	88	30	stress	stress	NOUN
fis-1354	88	31	range	range	NOUN
fis-1354	88	32	,	,	PUNCT
fis-1354	88	33	along	along	ADP
fis-1354	88	34	the	the	DET
fis-1354	88	35	y	y	PROPN
fis-1354	88	36	direction	direction	NOUN
fis-1354	88	37	:	:	PUNCT
fis-1354	88	38	σσσ	σσσ	NOUN
fis-1354	88	39	r	r	NOUN
fis-1354	88	40	δmax	δmax	NOUN
fis-1354	88	41			PROPN
fis-1354	88	42	(	(	PUNCT
fis-1354	88	43	6	6	NUM
fis-1354	88	44	)	)	PUNCT
fis-1354	88	45	the	the	DET
fis-1354	88	46	residual	residual	ADJ
fis-1354	88	47	stress	stress	NOUN
fis-1354	88	48	distribution	distribution	NOUN
fis-1354	88	49	computed	compute	VERB
fis-1354	88	50	ahead	ahead	ADV
fis-1354	88	51	of	of	ADP
fis-1354	88	52	the	the	DET
fis-1354	88	53	crack	crack	NOUN
fis-1354	88	54	tip	tip	NOUN
fis-1354	88	55	is	be	AUX
fis-1354	88	56	assumed	assume	VERB
fis-1354	88	57	to	to	PART
fis-1354	88	58	be	be	AUX
fis-1354	88	59	applied	apply	VERB
fis-1354	88	60	on	on	ADP
fis-1354	88	61	crack	crack	NOUN
fis-1354	88	62	faces	face	NOUN
fis-1354	88	63	,	,	PUNCT
fis-1354	88	64	behind	behind	ADP
fis-1354	88	65	the	the	DET
fis-1354	88	66	crack	crack	NOUN
fis-1354	88	67	tip	tip	NOUN
fis-1354	88	68	,	,	PUNCT
fis-1354	88	69	in	in	ADP
fis-1354	88	70	a	a	DET
fis-1354	88	71	symmetric	symmetric	ADJ
fis-1354	88	72	way	way	NOUN
fis-1354	88	73	with	with	ADP
fis-1354	88	74	respect	respect	NOUN
fis-1354	88	75	to	to	ADP
fis-1354	88	76	the	the	DET
fis-1354	88	77	crack	crack	NOUN
fis-1354	88	78	tip	tip	NOUN
fis-1354	88	79	.	.	PUNCT
fis-1354	89	1	the	the	DET
fis-1354	89	2	compressive	compressive	ADJ
fis-1354	89	3	stress	stress	NOUN
fis-1354	89	4	distribution	distribution	NOUN
fis-1354	89	5	,	,	PUNCT
fis-1354	89	6	acting	act	VERB
fis-1354	89	7	on	on	ADP
fis-1354	89	8	crack	crack	NOUN
fis-1354	89	9	faces	face	NOUN
fis-1354	89	10	,	,	PUNCT
fis-1354	89	11	is	be	AUX
fis-1354	89	12	equivalent	equivalent	ADJ
fis-1354	89	13	to	to	ADP
fis-1354	89	14	a	a	DET
fis-1354	89	15	residual	residual	ADJ
fis-1354	89	16	stress	stress	NOUN
fis-1354	89	17	intensity	intensity	NOUN
fis-1354	89	18	factor	factor	NOUN
fis-1354	89	19	which	which	PRON
fis-1354	89	20	is	be	AUX
fis-1354	89	21	used	use	VERB
fis-1354	89	22	to	to	PART
fis-1354	89	23	correct	correct	VERB
fis-1354	89	24	the	the	DET
fis-1354	89	25	applied	apply	VERB
fis-1354	89	26	stress	stress	NOUN
fis-1354	89	27	intensity	intensity	NOUN
fis-1354	89	28	factor	factor	NOUN
fis-1354	89	29	range	range	NOUN
fis-1354	89	30	leading	lead	VERB
fis-1354	89	31	to	to	ADP
fis-1354	89	32	a	a	DET
fis-1354	89	33	total	total	ADJ
fis-1354	89	34	(	(	PUNCT
fis-1354	89	35	effective	effective	ADJ
fis-1354	89	36	)	)	PUNCT
fis-1354	89	37	stress	stress	NOUN
fis-1354	89	38	intensity	intensity	NOUN
fis-1354	89	39	factor	factor	NOUN
fis-1354	89	40	range	range	NOUN
fis-1354	89	41	,	,	PUNCT
fis-1354	89	42	which	which	PRON
fis-1354	89	43	excludes	exclude	VERB
fis-1354	89	44	the	the	DET
fis-1354	89	45	effects	effect	NOUN
fis-1354	89	46	of	of	ADP
fis-1354	89	47	the	the	DET
fis-1354	89	48	compressive	compressive	ADJ
fis-1354	89	49	stresses	stress	NOUN
fis-1354	89	50	.	.	PUNCT
fis-1354	90	1	the	the	DET
fis-1354	90	2	residual	residual	ADJ
fis-1354	90	3	stress	stress	NOUN
fis-1354	90	4	intensity	intensity	NOUN
fis-1354	90	5	factor	factor	NOUN
fis-1354	90	6	,	,	PUNCT
fis-1354	90	7	kr	kr	PROPN
fis-1354	90	8	,	,	PUNCT
fis-1354	90	9	is	be	AUX
fis-1354	90	10	computed	compute	VERB
fis-1354	90	11	using	use	VERB
fis-1354	90	12	the	the	DET
fis-1354	90	13	weight	weight	NOUN
fis-1354	90	14	function	function	NOUN
fis-1354	90	15	method	method	NOUN
fis-1354	90	16	[	[	X
fis-1354	90	17	24	24	NUM
fis-1354	90	18	]	]	X
fis-1354	90	19	:	:	PUNCT
fis-1354	90	20			NOUN
fis-1354	90	21			SYM
fis-1354	90	22			NOUN
fis-1354	90	23			NOUN
fis-1354	90	24	a	a	DET
fis-1354	90	25	rr	rr	NOUN
fis-1354	90	26	dxaxmxσk	dxaxmxσk	NOUN
fis-1354	90	27	0	0	NUM
fis-1354	90	28	,	,	PUNCT
fis-1354	90	29	(	(	PUNCT
fis-1354	90	30	7	7	X
fis-1354	90	31	)	)	PUNCT
fis-1354	90	32	where	where	SCONJ
fis-1354	90	33			NOUN
fis-1354	90	34	a	a	PROPN
fis-1354	90	35	,	,	PUNCT
fis-1354	90	36	xm	xm	PROPN
fis-1354	90	37	is	be	AUX
fis-1354	90	38	the	the	DET
fis-1354	90	39	weight	weight	NOUN
fis-1354	90	40	function	function	NOUN
fis-1354	90	41	[	[	X
fis-1354	90	42	24	24	NUM
fis-1354	90	43	]	]	PUNCT
fis-1354	90	44	and	and	CCONJ
fis-1354	90	45			NOUN
fis-1354	90	46	xr	xr	NOUN
fis-1354	90	47	is	be	AUX
fis-1354	90	48	the	the	DET
fis-1354	90	49	residual	residual	ADJ
fis-1354	90	50	stress	stress	NOUN
fis-1354	90	51	field	field	NOUN
fis-1354	90	52	computed	compute	VERB
fis-1354	90	53	from	from	ADP
fis-1354	90	54	the	the	DET
fis-1354	90	55	elastoplastic	elastoplastic	ADJ
fis-1354	90	56	stress	stress	NOUN
fis-1354	90	57	analysis	analysis	NOUN
fis-1354	90	58	(	(	PUNCT
fis-1354	90	59	see	see	VERB
fis-1354	90	60	eq	eq	ADP
fis-1354	90	61	.	.	PUNCT
fis-1354	91	1	(	(	PUNCT
fis-1354	91	2	6	6	NUM
fis-1354	91	3	)	)	PUNCT
fis-1354	91	4	)	)	PUNCT
fis-1354	91	5	.	.	PUNCT
fis-1354	92	1	the	the	DET
fis-1354	92	2	applied	apply	VERB
fis-1354	92	3	stress	stress	NOUN
fis-1354	92	4	intensity	intensity	NOUN
fis-1354	92	5	factors	factor	NOUN
fis-1354	92	6	(	(	PUNCT
fis-1354	92	7	maximum	maximum	ADJ
fis-1354	92	8	and	and	CCONJ
fis-1354	92	9	range	range	NOUN
fis-1354	92	10	values	value	NOUN
fis-1354	92	11	)	)	PUNCT
fis-1354	92	12	are	be	AUX
fis-1354	92	13	then	then	ADV
fis-1354	92	14	corrected	correct	VERB
fis-1354	92	15	using	use	VERB
fis-1354	92	16	the	the	DET
fis-1354	92	17	residual	residual	ADJ
fis-1354	92	18	stress	stress	NOUN
fis-1354	92	19	intensity	intensity	NOUN
fis-1354	92	20	factor	factor	NOUN
fis-1354	92	21	,	,	PUNCT
fis-1354	92	22	resulting	result	VERB
fis-1354	92	23	the	the	DET
fis-1354	92	24	total	total	ADJ
fis-1354	92	25	kmax	kmax	NOUN
fis-1354	92	26	,	,	PUNCT
fis-1354	92	27	tot	tot	NOUN
fis-1354	92	28	and	and	CCONJ
fis-1354	92	29	ktot	ktot	ADJ
fis-1354	92	30	values	value	NOUN
fis-1354	92	31	[	[	X
fis-1354	92	32	1,10	1,10	NUM
fis-1354	92	33	]	]	PUNCT
fis-1354	92	34	.	.	PUNCT
fis-1354	93	1	for	for	ADP
fis-1354	93	2	positive	positive	ADJ
fis-1354	93	3	stress	stress	NOUN
fis-1354	93	4	r	r	NOUN
fis-1354	93	5	-	-	PUNCT
fis-1354	93	6	ratios	ratio	NOUN
fis-1354	93	7	,	,	PUNCT
fis-1354	93	8	which	which	PRON
fis-1354	93	9	is	be	AUX
fis-1354	93	10	the	the	DET
fis-1354	93	11	range	range	NOUN
fis-1354	93	12	covered	cover	VERB
fis-1354	93	13	by	by	ADP
fis-1354	93	14	the	the	DET
fis-1354	93	15	experimental	experimental	ADJ
fis-1354	93	16	data	datum	NOUN
fis-1354	93	17	used	use	VERB
fis-1354	93	18	in	in	ADP
fis-1354	93	19	this	this	DET
fis-1354	93	20	research	research	NOUN
fis-1354	93	21	,	,	PUNCT
fis-1354	93	22	kmax	kmax	PROPN
fis-1354	93	23	,	,	PUNCT
fis-1354	93	24	tot	tot	NOUN
fis-1354	93	25	and	and	CCONJ
fis-1354	93	26	ktot	ktot	NOUN
fis-1354	93	27	may	may	AUX
fis-1354	93	28	be	be	AUX
fis-1354	93	29	computed	compute	VERB
fis-1354	93	30	as	as	SCONJ
fis-1354	93	31	follows	follow	VERB
fis-1354	93	32	:	:	PUNCT
fis-1354	93	33	rappliedtot	rappliedtot	VERB
fis-1354	93	34	rappliedtot	rappliedtot	PROPN
fis-1354	93	35	kkk	kkk	PROPN
fis-1354	93	36	kkk	kkk	PROPN
fis-1354	93	37			PROPN
fis-1354	94	1			PROPN
fis-1354	94	2	δδ	δδ	ADP
fis-1354	94	3	max	max	PROPN
fis-1354	94	4	,	,	PUNCT
fis-1354	94	5	max	max	PROPN
fis-1354	94	6	,	,	PUNCT
fis-1354	94	7	(	(	PUNCT
fis-1354	94	8	8)	8)	NUM
fis-1354	94	9	where	where	SCONJ
fis-1354	94	10	kr	kr	PROPN
fis-1354	94	11	assumes	assume	VERB
fis-1354	94	12	a	a	DET
fis-1354	94	13	negative	negative	ADJ
fis-1354	94	14	value	value	NOUN
fis-1354	94	15	corresponding	correspond	VERB
fis-1354	94	16	to	to	ADP
fis-1354	94	17	the	the	DET
fis-1354	94	18	compressive	compressive	ADJ
fis-1354	94	19	stress	stress	NOUN
fis-1354	94	20	field	field	NOUN
fis-1354	94	21	.	.	PUNCT
fis-1354	95	1	for	for	ADP
fis-1354	95	2	high	high	ADJ
fis-1354	95	3	stress	stress	NOUN
fis-1354	95	4	r	r	NOUN
fis-1354	95	5	-	-	PUNCT
fis-1354	95	6	ratios	ratio	NOUN
fis-1354	95	7	,	,	PUNCT
fis-1354	95	8	the	the	DET
fis-1354	95	9	compressive	compressive	NOUN
fis-1354	95	10	stresses	stress	VERB
fis-1354	95	11	ahead	ahead	ADV
fis-1354	95	12	of	of	ADP
fis-1354	95	13	the	the	DET
fis-1354	95	14	crack	crack	NOUN
fis-1354	95	15	tip	tip	NOUN
fis-1354	95	16	may	may	AUX
fis-1354	95	17	be	be	AUX
fis-1354	95	18	neglected	neglect	VERB
fis-1354	95	19	and	and	CCONJ
fis-1354	95	20	the	the	DET
fis-1354	95	21	applied	apply	VERB
fis-1354	95	22	stress	stress	NOUN
fis-1354	95	23	intensity	intensity	NOUN
fis-1354	95	24	factor	factor	NOUN
fis-1354	95	25	range	range	NOUN
fis-1354	95	26	is	be	AUX
fis-1354	95	27	assumed	assume	VERB
fis-1354	95	28	fully	fully	ADV
fis-1354	95	29	effective	effective	ADJ
fis-1354	95	30	;	;	PUNCT
fis-1354	95	31	for	for	ADP
fis-1354	95	32	low	low	ADJ
fis-1354	95	33	stress	stress	NOUN
fis-1354	95	34	r	r	NOUN
fis-1354	95	35	-	-	PUNCT
fis-1354	95	36	ratios	ratio	NOUN
fis-1354	95	37	the	the	DET
fis-1354	95	38	compressive	compressive	NOUN
fis-1354	95	39	stresses	stress	VERB
fis-1354	95	40	increases	increase	NOUN
fis-1354	95	41	and	and	CCONJ
fis-1354	95	42	the	the	DET
fis-1354	95	43	effectiveness	effectiveness	NOUN
fis-1354	95	44	of	of	ADP
fis-1354	95	45	the	the	DET
fis-1354	95	46	applied	apply	VERB
fis-1354	95	47	stress	stress	NOUN
fis-1354	95	48	intensity	intensity	NOUN
fis-1354	95	49	factor	factor	NOUN
fis-1354	95	50	range	range	NOUN
fis-1354	95	51	decreases	decrease	VERB
fis-1354	95	52	accordingly	accordingly	ADV
fis-1354	95	53	.	.	PUNCT
fis-1354	96	1	using	use	VERB
fis-1354	96	2	the	the	DET
fis-1354	96	3	total	total	ADJ
fis-1354	96	4	values	value	NOUN
fis-1354	96	5	of	of	ADP
fis-1354	96	6	the	the	DET
fis-1354	96	7	stress	stress	NOUN
fis-1354	96	8	intensity	intensity	NOUN
fis-1354	96	9	factors	factor	NOUN
fis-1354	96	10	,	,	PUNCT
fis-1354	96	11	the	the	DET
fis-1354	96	12	first	first	ADJ
fis-1354	96	13	and	and	CCONJ
fis-1354	96	14	second	second	ADJ
fis-1354	96	15	steps	step	NOUN
fis-1354	96	16	before	before	ADV
fis-1354	96	17	are	be	AUX
fis-1354	96	18	repeated	repeat	VERB
fis-1354	96	19	to	to	PART
fis-1354	96	20	determine	determine	VERB
fis-1354	96	21	the	the	DET
fis-1354	96	22	corrected	correct	VERB
fis-1354	96	23	values	value	NOUN
fis-1354	96	24	for	for	ADP
fis-1354	96	25	the	the	DET
fis-1354	96	26	maximum	maximum	ADJ
fis-1354	96	27	actual	actual	ADJ
fis-1354	96	28	stress	stress	NOUN
fis-1354	96	29	and	and	CCONJ
fis-1354	96	30	actual	actual	ADJ
fis-1354	96	31	strain	strain	NOUN
fis-1354	96	32	range	range	NOUN
fis-1354	96	33	at	at	ADP
fis-1354	96	34	the	the	DET
fis-1354	96	35	material	material	ADJ
fis-1354	96	36	representative	representative	ADJ
fis-1354	96	37	elements	element	NOUN
fis-1354	96	38	.	.	PUNCT
fis-1354	97	1	then	then	ADV
fis-1354	97	2	,	,	PUNCT
fis-1354	97	3	eq	eq	ADJ
fis-1354	97	4	.	.	PUNCT
fis-1354	98	1	(	(	PUNCT
fis-1354	98	2	2	2	X
fis-1354	98	3	)	)	PUNCT
fis-1354	98	4	is	be	AUX
fis-1354	98	5	applied	apply	VERB
fis-1354	98	6	together	together	ADV
fis-1354	98	7	with	with	ADP
fis-1354	98	8	eq	eq	NOUN
fis-1354	98	9	.	.	PUNCT
fis-1354	99	1	(	(	PUNCT
fis-1354	99	2	1	1	X
fis-1354	99	3	)	)	PUNCT
fis-1354	99	4	to	to	PART
fis-1354	99	5	compute	compute	VERB
fis-1354	99	6	the	the	DET
fis-1354	99	7	fatigue	fatigue	NOUN
fis-1354	99	8	crack	crack	VERB
fis-1354	99	9	growth	growth	NOUN
fis-1354	99	10	rates	rate	NOUN
fis-1354	99	11	.	.	PUNCT
fis-1354	100	1	the	the	DET
fis-1354	100	2	described	describe	VERB
fis-1354	100	3	methodology	methodology	NOUN
fis-1354	100	4	does	do	AUX
fis-1354	100	5	not	not	PART
fis-1354	100	6	lead	lead	VERB
fis-1354	100	7	to	to	ADP
fis-1354	100	8	close	close	ADJ
fis-1354	100	9	-	-	PUNCT
fis-1354	100	10	form	form	NOUN
fis-1354	100	11	(	(	PUNCT
fis-1354	100	12	explicit	explicit	ADJ
fis-1354	100	13	)	)	PUNCT
fis-1354	100	14	solutions	solution	NOUN
fis-1354	100	15	for	for	ADP
fis-1354	100	16	the	the	DET
fis-1354	100	17	fatigue	fatigue	NOUN
fis-1354	100	18	crack	crack	VERB
fis-1354	100	19	propagation	propagation	NOUN
fis-1354	100	20	rates	rate	NOUN
fis-1354	100	21	.	.	PUNCT
fis-1354	101	1	nevertheless	nevertheless	ADV
fis-1354	101	2	,	,	PUNCT
fis-1354	101	3	adopting	adopt	VERB
fis-1354	101	4	some	some	DET
fis-1354	101	5	simplified	simplified	ADJ
fis-1354	101	6	assumptions	assumption	NOUN
fis-1354	101	7	about	about	ADP
fis-1354	101	8	the	the	DET
fis-1354	101	9	elastoplastic	elastoplastic	ADJ
fis-1354	101	10	conditions	condition	NOUN
fis-1354	101	11	,	,	PUNCT
fis-1354	101	12	such	such	ADJ
fis-1354	101	13	as	as	ADP
fis-1354	101	14	predominantly	predominantly	ADV
fis-1354	101	15	elastic	elastic	ADJ
fis-1354	101	16	behaviour	behaviour	NOUN
fis-1354	101	17	of	of	ADP
fis-1354	101	18	the	the	DET
fis-1354	101	19	material	material	NOUN
fis-1354	101	20	at	at	ADP
fis-1354	101	21	the	the	DET
fis-1354	101	22	crack	crack	NOUN
fis-1354	101	23	tip	tip	NOUN
fis-1354	101	24	or	or	CCONJ
fis-1354	101	25	predominantly	predominantly	ADV
fis-1354	101	26	plastic	plastic	ADJ
fis-1354	101	27	behaviour	behaviour	NOUN
fis-1354	101	28	of	of	ADP
fis-1354	101	29	the	the	DET
fis-1354	101	30	material	material	NOUN
fis-1354	101	31	at	at	ADP
fis-1354	101	32	the	the	DET
fis-1354	101	33	crack	crack	NOUN
fis-1354	101	34	tip	tip	NOUN
fis-1354	101	35	,	,	PUNCT
fis-1354	101	36	it	it	PRON
fis-1354	101	37	is	be	AUX
fis-1354	101	38	possible	possible	ADJ
fis-1354	101	39	to	to	PART
fis-1354	101	40	derive	derive	VERB
fis-1354	101	41	those	those	DET
fis-1354	101	42	close	close	ADJ
fis-1354	101	43	-	-	PUNCT
fis-1354	101	44	form	form	NOUN
fis-1354	101	45	solutions	solution	NOUN
fis-1354	101	46	for	for	ADP
fis-1354	101	47	the	the	DET
fis-1354	101	48	stress	stress	NOUN
fis-1354	101	49	-	-	PUNCT
fis-1354	101	50	strain	strain	NOUN
fis-1354	101	51	histories	history	NOUN
fis-1354	101	52	at	at	ADP
fis-1354	101	53	the	the	DET
fis-1354	101	54	crack	crack	NOUN
fis-1354	101	55	tip	tip	NOUN
fis-1354	101	56	and	and	CCONJ
fis-1354	101	57	for	for	ADP
fis-1354	101	58	the	the	DET
fis-1354	101	59	number	number	NOUN
fis-1354	101	60	of	of	ADP
fis-1354	101	61	cycles	cycle	NOUN
fis-1354	101	62	to	to	ADP
fis-1354	101	63	failure	failure	NOUN
fis-1354	101	64	of	of	ADP
fis-1354	101	65	the	the	DET
fis-1354	101	66	material	material	NOUN
fis-1354	101	67	representative	representative	NOUN
fis-1354	101	68	element	element	NOUN
fis-1354	101	69	.	.	PUNCT
fis-1354	102	1	in	in	ADP
fis-1354	102	2	these	these	DET
fis-1354	102	3	cases	case	NOUN
fis-1354	102	4	,	,	PUNCT
fis-1354	102	5	the	the	DET
fis-1354	102	6	fatigue	fatigue	NOUN
fis-1354	102	7	crack	crack	VERB
fis-1354	102	8	propagation	propagation	NOUN
fis-1354	102	9	rates	rate	NOUN
fis-1354	102	10	may	may	AUX
fis-1354	102	11	be	be	AUX
fis-1354	102	12	expressed	express	VERB
fis-1354	102	13	in	in	ADP
fis-1354	102	14	the	the	DET
fis-1354	102	15	following	follow	VERB
fis-1354	102	16	two	two	NUM
fis-1354	102	17	-	-	PUNCT
fis-1354	102	18	parameters	parameter	NOUN
fis-1354	102	19	crack	crack	VERB
fis-1354	102	20	driving	driving	NOUN
fis-1354	102	21	relation	relation	NOUN
fis-1354	102	22	[	[	X
fis-1354	102	23	1	1	NUM
fis-1354	102	24	,	,	PUNCT
fis-1354	102	25	10	10	NUM
fis-1354	102	26	]	]	SYM
fis-1354	102	27	:	:	PUNCT
fis-1354	102	28			NOUN
fis-1354	102	29			SYM
fis-1354	102	30			NOUN
fis-1354	102	31			NOUN
fis-1354	102	32	γq	γq	NOUN
fis-1354	102	33	tot	tot	VERB
fis-1354	102	34	p	p	NOUN
fis-1354	102	35	tot	tot	NOUN
fis-1354	102	36	kkc	kkc	VERB
fis-1354	102	37	dn	dn	ADP
fis-1354	102	38	da	da	PROPN
fis-1354	102	39	δmax,	δmax,	NOUN
fis-1354	102	40	(	(	PUNCT
fis-1354	102	41	9	9	NUM
fis-1354	102	42	)	)	PUNCT
fis-1354	102	43	where	where	SCONJ
fis-1354	102	44	c	c	X
fis-1354	102	45	,	,	PUNCT
fis-1354	102	46	p	p	X
fis-1354	102	47	,	,	PUNCT
fis-1354	102	48	q	q	PUNCT
fis-1354	102	49	and	and	CCONJ
fis-1354	102	50	γ	γ	NOUN
fis-1354	102	51	are	be	AUX
fis-1354	102	52	constants	constant	NOUN
fis-1354	102	53	to	to	PART
fis-1354	102	54	be	be	AUX
fis-1354	102	55	correlated	correlate	VERB
fis-1354	102	56	with	with	ADP
fis-1354	102	57	the	the	DET
fis-1354	102	58	cyclic	cyclic	ADJ
fis-1354	102	59	constants	constant	NOUN
fis-1354	102	60	of	of	ADP
fis-1354	102	61	the	the	DET
fis-1354	102	62	material	material	NOUN
fis-1354	102	63	in	in	ADP
fis-1354	102	64	a	a	DET
fis-1354	102	65	form	form	NOUN
fis-1354	102	66	depending	depend	VERB
fis-1354	102	67	on	on	ADP
fis-1354	102	68	the	the	DET
fis-1354	102	69	elastoplastic	elastoplastic	ADJ
fis-1354	102	70	conditions	condition	NOUN
fis-1354	102	71	at	at	ADP
fis-1354	102	72	the	the	DET
fis-1354	102	73	crack	crack	NOUN
fis-1354	102	74	tip	tip	NOUN
fis-1354	102	75	.	.	PUNCT
fis-1354	103	1	this	this	DET
fis-1354	103	2	two	two	NUM
fis-1354	103	3	-	-	PUNCT
fis-1354	103	4	parameters	parameter	NOUN
fis-1354	103	5	(	(	PUNCT
fis-1354	103	6	kmax	kmax	PROPN
fis-1354	103	7	and	and	CCONJ
fis-1354	103	8	k	k	NOUN
fis-1354	103	9	)	)	PUNCT
fis-1354	103	10	fatigue	fatigue	NOUN
fis-1354	103	11	crack	crack	NOUN
fis-1354	103	12	propagation	propagation	NOUN
fis-1354	103	13	relation	relation	NOUN
fis-1354	103	14	allows	allow	VERB
fis-1354	103	15	the	the	DET
fis-1354	103	16	simulation	simulation	NOUN
fis-1354	103	17	of	of	ADP
fis-1354	103	18	mean	mean	ADJ
fis-1354	103	19	stress	stress	NOUN
fis-1354	103	20	effects	effect	NOUN
fis-1354	103	21	on	on	ADP
fis-1354	103	22	fatigue	fatigue	NOUN
fis-1354	103	23	crack	crack	NOUN
fis-1354	103	24	propagation	propagation	NOUN
fis-1354	103	25	rates	rate	NOUN
fis-1354	103	26	.	.	PUNCT
fis-1354	104	1	the	the	DET
fis-1354	104	2	crack	crack	NOUN
fis-1354	104	3	propagation	propagation	NOUN
fis-1354	104	4	models	model	NOUN
fis-1354	104	5	based	base	VERB
fis-1354	104	6	on	on	ADP
fis-1354	104	7	a	a	DET
fis-1354	104	8	two	two	NUM
fis-1354	104	9	parameters	parameter	NOUN
fis-1354	104	10	crack	crack	VERB
fis-1354	104	11	driving	driving	NOUN
fis-1354	104	12	force	force	NOUN
fis-1354	104	13	has	have	AUX
fis-1354	104	14	been	be	AUX
fis-1354	104	15	recently	recently	ADV
fis-1354	104	16	followed	follow	VERB
fis-1354	104	17	by	by	ADP
fis-1354	104	18	several	several	ADJ
fis-1354	104	19	authors	author	NOUN
fis-1354	104	20	[	[	X
fis-1354	104	21	25	25	NUM
fis-1354	104	22	,	,	PUNCT
fis-1354	104	23	26	26	NUM
fis-1354	104	24	]	]	PUNCT
fis-1354	104	25	.	.	PUNCT
fis-1354	105	1	probabilistic	probabilistic	PROPN
fis-1354	105	2	ε	ε	PROPN
fis-1354	105	3	–	–	PUNCT
fis-1354	105	4	n	n	NUM
fis-1354	105	5	and	and	CCONJ
fis-1354	105	6	swt	swt	PROPN
fis-1354	105	7	–	–	PUNCT
fis-1354	105	8	n	n	NUM
fis-1354	105	9	fields	field	VERB
fis-1354	105	10	the	the	DET
fis-1354	105	11	fatigue	fatigue	NOUN
fis-1354	105	12	crack	crack	VERB
fis-1354	105	13	propagation	propagation	NOUN
fis-1354	105	14	modelling	modelling	NOUN
fis-1354	105	15	based	base	VERB
fis-1354	105	16	on	on	ADP
fis-1354	105	17	local	local	ADJ
fis-1354	105	18	approaches	approach	NOUN
fis-1354	105	19	requires	require	VERB
fis-1354	105	20	a	a	DET
fis-1354	105	21	fatigue	fatigue	NOUN
fis-1354	105	22	damage	damage	NOUN
fis-1354	105	23	relation	relation	NOUN
fis-1354	105	24	to	to	PART
fis-1354	105	25	compute	compute	VERB
fis-1354	105	26	the	the	DET
fis-1354	105	27	number	number	NOUN
fis-1354	105	28	of	of	ADP
fis-1354	105	29	cycles	cycle	NOUN
fis-1354	105	30	to	to	PART
fis-1354	105	31	fail	fail	VERB
fis-1354	105	32	the	the	DET
fis-1354	105	33	elementary	elementary	ADJ
fis-1354	105	34	material	material	NOUN
fis-1354	105	35	blocks	block	NOUN
fis-1354	105	36	.	.	PUNCT
fis-1354	106	1	in	in	ADP
fis-1354	106	2	this	this	DET
fis-1354	106	3	paper	paper	NOUN
fis-1354	106	4	,	,	PUNCT
fis-1354	106	5	probabilistic	probabilistic	ADJ
fis-1354	106	6	fatigue	fatigue	NOUN
fis-1354	106	7	damage	damage	NOUN
fis-1354	106	8	models	model	NOUN
fis-1354	106	9	are	be	AUX
fis-1354	106	10	proposed	propose	VERB
fis-1354	106	11	rather	rather	ADV
fis-1354	106	12	than	than	ADP
fis-1354	106	13	the	the	DET
fis-1354	106	14	deterministic	deterministic	ADJ
fis-1354	106	15	swt	swt	PROPN
fis-1354	106	16	–	–	PUNCT
fis-1354	106	17	n	n	CCONJ
fis-1354	106	18	,	,	PUNCT
fis-1354	106	19	coffin	coffin	NOUN
fis-1354	106	20	-	-	PUNCT
fis-1354	106	21	manson	manson	PROPN
fis-1354	106	22	or	or	CCONJ
fis-1354	106	23	morrow	morrow	NOUN
fis-1354	106	24	models	model	NOUN
fis-1354	106	25	often	often	ADV
fis-1354	106	26	used	use	VERB
fis-1354	106	27	in	in	ADP
fis-1354	106	28	the	the	DET
fis-1354	106	29	literature	literature	NOUN
fis-1354	106	30	.	.	PUNCT
fis-1354	107	1	the	the	DET
fis-1354	107	2	probabilistic	probabilistic	ADJ
fis-1354	107	3	εa	εa	NOUN
fis-1354	107	4	–	–	PUNCT
fis-1354	107	5	n	n	PRON
fis-1354	107	6	model	model	NOUN
fis-1354	107	7	proposed	propose	VERB
fis-1354	107	8	by	by	ADP
fis-1354	107	9	castillo	castillo	PROPN
fis-1354	107	10	and	and	CCONJ
fis-1354	107	11	fernández	fernández	PROPN
fis-1354	107	12	-	-	PUNCT
fis-1354	107	13	canteli	canteli	PROPN
fis-1354	108	1	[	[	X
fis-1354	108	2	20	20	NUM
fis-1354	108	3	]	]	PUNCT
fis-1354	108	4	is	be	AUX
fis-1354	108	5	used	use	VERB
fis-1354	108	6	.	.	PUNCT
fis-1354	109	1	however	however	ADV
fis-1354	109	2	,	,	PUNCT
fis-1354	109	3	and	and	CCONJ
fis-1354	109	4	since	since	SCONJ
fis-1354	109	5	this	this	DET
fis-1354	109	6	probabilistic	probabilistic	ADJ
fis-1354	109	7	εa	εa	NOUN
fis-1354	109	8	–	–	PUNCT
fis-1354	109	9	n	n	PRON
fis-1354	109	10	model	model	NOUN
fis-1354	109	11	does	do	AUX
fis-1354	109	12	not	not	PART
fis-1354	109	13	account	account	VERB
fis-1354	109	14	for	for	ADP
fis-1354	109	15	mean	mean	ADJ
fis-1354	109	16	stress	stress	NOUN
fis-1354	109	17	effects	effect	NOUN
fis-1354	109	18	,	,	PUNCT
fis-1354	109	19	an	an	DET
fis-1354	109	20	alternative	alternative	ADJ
fis-1354	109	21	probabilistic	probabilistic	ADJ
fis-1354	109	22	swt	swt	PROPN
fis-1354	109	23	–	–	PUNCT
fis-1354	109	24	n	n	PRON
fis-1354	109	25	field	field	NOUN
fis-1354	109	26	is	be	AUX
fis-1354	109	27	also	also	ADV
fis-1354	109	28	proposed	propose	VERB
fis-1354	109	29	,	,	PUNCT
fis-1354	109	30	as	as	ADP
fis-1354	109	31	an	an	DET
fis-1354	109	32	extension	extension	NOUN
fis-1354	109	33	of	of	ADP
fis-1354	109	34	the	the	DET
fis-1354	109	35	p	p	NOUN
fis-1354	109	36	–	–	PUNCT
fis-1354	109	37	εa	εa	NOUN
fis-1354	109	38	–	–	PUNCT
fis-1354	110	1	n	n	PRON
fis-1354	110	2	field	field	NOUN
fis-1354	110	3	suggested	suggest	VERB
fis-1354	110	4	by	by	ADP
fis-1354	110	5	castillo	castillo	PROPN
fis-1354	110	6	and	and	CCONJ
fis-1354	110	7	fernández	fernández	PROPN
fis-1354	110	8	-	-	PUNCT
fis-1354	110	9	canteli	canteli	PROPN
fis-1354	111	1	[	[	X
fis-1354	111	2	20	20	NUM
fis-1354	111	3	]	]	PUNCT
fis-1354	111	4	,	,	PUNCT
fis-1354	111	5	to	to	PART
fis-1354	111	6	account	account	VERB
fis-1354	111	7	for	for	ADP
fis-1354	111	8	mean	mean	ADJ
fis-1354	111	9	stress	stress	NOUN
fis-1354	111	10	effects	effect	NOUN
fis-1354	111	11	.	.	PUNCT
fis-1354	112	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	112	2	.	.	PROPN
fis-1354	112	3	correia	correia	PROPN
fis-1354	112	4	et	et	PROPN
fis-1354	112	5	alii	alii	PROPN
fis-1354	112	6	,	,	PUNCT
fis-1354	112	7	frattura	frattura	PROPN
fis-1354	112	8	ed	ed	PROPN
fis-1354	112	9	integrità	integrità	PROPN
fis-1354	112	10	strutturale	strutturale	PROPN
fis-1354	112	11	,	,	PUNCT
fis-1354	112	12	31	31	NUM
fis-1354	112	13	(	(	PUNCT
fis-1354	112	14	2015	2015	NUM
fis-1354	112	15	)	)	PUNCT
fis-1354	112	16	80	80	NUM
fis-1354	112	17	-	-	SYM
fis-1354	112	18	96	96	NUM
fis-1354	112	19	;	;	PUNCT
fis-1354	112	20	doi	doi	NOUN
fis-1354	112	21	:	:	PUNCT
fis-1354	112	22	10.3221	10.3221	NUM
fis-1354	112	23	/	/	SYM
fis-1354	112	24	igf	igf	PROPN
fis-1354	112	25	-	-	ADJ
fis-1354	112	26	esis.31.07	esis.31.07	PROPN
fis-1354	112	27	84	84	NUM
fis-1354	112	28	castillo	castillo	PROPN
fis-1354	112	29	and	and	CCONJ
fis-1354	112	30	fernández	fernández	PROPN
fis-1354	112	31	-	-	PUNCT
fis-1354	112	32	canteli	canteli	PROPN
fis-1354	113	1	[	[	X
fis-1354	113	2	20	20	NUM
fis-1354	113	3	]	]	PUNCT
fis-1354	113	4	proposed	propose	VERB
fis-1354	113	5	a	a	DET
fis-1354	113	6	probabilistic	probabilistic	ADJ
fis-1354	113	7	model	model	NOUN
fis-1354	113	8	to	to	PART
fis-1354	113	9	describe	describe	VERB
fis-1354	113	10	the	the	DET
fis-1354	113	11	strain	strain	NOUN
fis-1354	113	12	-	-	PUNCT
fis-1354	113	13	life	life	NOUN
fis-1354	113	14	field	field	NOUN
fis-1354	113	15	of	of	ADP
fis-1354	113	16	the	the	DET
fis-1354	113	17	material	material	NOUN
fis-1354	113	18	(	(	PUNCT
fis-1354	113	19	p	p	NOUN
fis-1354	113	20	-	-	PUNCT
fis-1354	113	21	εa	εa	NOUN
fis-1354	113	22	-	-	PUNCT
fis-1354	113	23	n	n	NOUN
fis-1354	113	24	field	field	NOUN
fis-1354	113	25	)	)	PUNCT
fis-1354	113	26	,	,	PUNCT
fis-1354	113	27	based	base	VERB
fis-1354	113	28	on	on	ADP
fis-1354	113	29	weibull	weibull	NOUN
fis-1354	113	30	distribution	distribution	NOUN
fis-1354	113	31	.	.	PUNCT
fis-1354	114	1	the	the	DET
fis-1354	114	2	model	model	NOUN
fis-1354	114	3	assumes	assume	VERB
fis-1354	114	4	that	that	SCONJ
fis-1354	114	5	the	the	DET
fis-1354	114	6	fatigue	fatigue	NOUN
fis-1354	114	7	life	life	NOUN
fis-1354	114	8	,	,	PUNCT
fis-1354	114	9	nf	nf	NOUN
fis-1354	114	10	,	,	PUNCT
fis-1354	114	11	and	and	CCONJ
fis-1354	114	12	the	the	DET
fis-1354	114	13	total	total	ADJ
fis-1354	114	14	strain	strain	NOUN
fis-1354	114	15	amplitude	amplitude	NOUN
fis-1354	114	16	,	,	PUNCT
fis-1354	114	17	εa	εa	NOUN
fis-1354	114	18	,	,	PUNCT
fis-1354	114	19	are	be	AUX
fis-1354	114	20	random	random	ADJ
fis-1354	114	21	variables	variable	NOUN
fis-1354	114	22	.	.	PUNCT
fis-1354	115	1	based	base	VERB
fis-1354	115	2	on	on	ADP
fis-1354	115	3	several	several	ADJ
fis-1354	115	4	physical	physical	ADJ
fis-1354	115	5	and	and	CCONJ
fis-1354	115	6	statistical	statistical	ADJ
fis-1354	115	7	considerations	consideration	NOUN
fis-1354	115	8	,	,	PUNCT
fis-1354	115	9	such	such	ADJ
fis-1354	115	10	as	as	ADP
fis-1354	115	11	the	the	DET
fis-1354	115	12	weakest	weak	ADJ
fis-1354	115	13	link	link	NOUN
fis-1354	115	14	principle	principle	NOUN
fis-1354	115	15	,	,	PUNCT
fis-1354	115	16	stability	stability	NOUN
fis-1354	115	17	,	,	PUNCT
fis-1354	115	18	limit	limit	NOUN
fis-1354	115	19	behaviour	behaviour	NOUN
fis-1354	115	20	,	,	PUNCT
fis-1354	115	21	range	range	NOUN
fis-1354	115	22	of	of	ADP
fis-1354	115	23	the	the	DET
fis-1354	115	24	variables	variable	NOUN
fis-1354	115	25	and	and	CCONJ
fis-1354	115	26	compatibility	compatibility	NOUN
fis-1354	115	27	,	,	PUNCT
fis-1354	115	28	castillo	castillo	PROPN
fis-1354	115	29	and	and	CCONJ
fis-1354	115	30	fernández	fernández	PROPN
fis-1354	115	31	-	-	PUNCT
fis-1354	115	32	canteli	canteli	PROPN
fis-1354	116	1	[	[	X
fis-1354	116	2	20	20	NUM
fis-1354	116	3	]	]	PUNCT
fis-1354	116	4	derived	derive	VERB
fis-1354	116	5	a	a	DET
fis-1354	116	6	strain	strain	NOUN
fis-1354	116	7	-	-	PUNCT
fis-1354	116	8	life	life	NOUN
fis-1354	116	9	model	model	NOUN
fis-1354	116	10	,	,	PUNCT
fis-1354	116	11	which	which	PRON
fis-1354	116	12	shows	show	VERB
fis-1354	116	13	exactly	exactly	ADV
fis-1354	116	14	the	the	DET
fis-1354	116	15	same	same	ADJ
fis-1354	116	16	formulation	formulation	NOUN
fis-1354	116	17	as	as	SCONJ
fis-1354	116	18	proposed	propose	VERB
fis-1354	116	19	the	the	DET
fis-1354	116	20	authors	author	NOUN
fis-1354	116	21	for	for	ADP
fis-1354	116	22	the	the	DET
fis-1354	116	23	stress	stress	NOUN
fis-1354	116	24	-	-	PUNCT
fis-1354	116	25	life	life	NOUN
fis-1354	116	26	field	field	NOUN
fis-1354	116	27	.	.	PUNCT
fis-1354	117	1	the	the	DET
fis-1354	117	2	interested	interested	ADJ
fis-1354	117	3	readers	reader	NOUN
fis-1354	117	4	can	can	AUX
fis-1354	117	5	see	see	VERB
fis-1354	117	6	the	the	DET
fis-1354	117	7	detailed	detailed	ADJ
fis-1354	117	8	assumptions	assumption	NOUN
fis-1354	117	9	in	in	ADP
fis-1354	117	10	castillo	castillo	PROPN
fis-1354	117	11	et	et	PROPN
fis-1354	117	12	al	al	PROPN
fis-1354	117	13	.	.	PUNCT
fis-1354	118	1	[	[	X
fis-1354	118	2	27	27	NUM
fis-1354	118	3	,	,	PUNCT
fis-1354	118	4	28	28	NUM
fis-1354	118	5	]	]	PUNCT
fis-1354	118	6	,	,	PUNCT
fis-1354	118	7	where	where	SCONJ
fis-1354	118	8	the	the	DET
fis-1354	118	9	stress	stress	NOUN
fis-1354	118	10	version	version	NOUN
fis-1354	118	11	of	of	ADP
fis-1354	118	12	the	the	DET
fis-1354	118	13	model	model	NOUN
fis-1354	118	14	has	have	AUX
fis-1354	118	15	been	be	AUX
fis-1354	118	16	studied	study	VERB
fis-1354	118	17	and	and	CCONJ
fis-1354	118	18	successfully	successfully	ADV
fis-1354	118	19	applied	apply	VERB
fis-1354	118	20	to	to	ADP
fis-1354	118	21	different	different	ADJ
fis-1354	118	22	cases	case	NOUN
fis-1354	118	23	of	of	ADP
fis-1354	118	24	lifetime	lifetime	NOUN
fis-1354	118	25	problems	problem	NOUN
fis-1354	118	26	.	.	PUNCT
fis-1354	119	1	this	this	PRON
fis-1354	119	2	leads	lead	VERB
fis-1354	119	3	to	to	ADP
fis-1354	119	4	the	the	DET
fis-1354	119	5	weibull	weibull	PROPN
fis-1354	119	6	strain	strain	NOUN
fis-1354	119	7	-	-	PUNCT
fis-1354	119	8	life	life	NOUN
fis-1354	119	9	model	model	NOUN
fis-1354	119	10	[	[	X
fis-1354	119	11	28	28	NUM
fis-1354	119	12	]	]	X
fis-1354	119	13	:	:	PUNCT
fis-1354	119	14			NOUN
fis-1354	119	15			SYM
fis-1354	119	16			NOUN
fis-1354	119	17			SYM
fis-1354	119	18			NOUN
fis-1354	119	19			SYM
fis-1354	119	20			NOUN
fis-1354	119	21			PUNCT
fis-1354	119	22	0	0	PUNCT
fis-1354	119	23	0	0	NUM
fis-1354	120	1	*	*	PUNCT
fis-1354	120	2	*	*	PUNCT
fis-1354	120	3	0	0	NUM
fis-1354	120	4	0	0	NUM
fis-1354	120	5	log	log	NOUN
fis-1354	120	6	log	log	NOUN
fis-1354	120	7	(	(	PUNCT
fis-1354	120	8	;	;	PUNCT
fis-1354	120	9	)	)	PUNCT
fis-1354	120	10	1	1	NUM
fis-1354	120	11	exp	exp	NOUN
fis-1354	120	12	log	log	NOUN
fis-1354	120	13	log	log	NOUN
fis-1354	120	14	f	f	PROPN
fis-1354	120	15	a	a	PRON
fis-1354	120	16	a	a	DET
fis-1354	120	17	f	f	NOUN
fis-1354	120	18	a	a	DET
fis-1354	120	19	f	f	X
fis-1354	120	20	a	a	DET
fis-1354	120	21	a	a	PROPN
fis-1354	120	22	n	n	NOUN
fis-1354	120	23	n	n	NOUN
fis-1354	120	24	p	p	NOUN
fis-1354	120	25	f	f	PROPN
fis-1354	120	26	n	n	CCONJ
fis-1354	120	27	n	n	CCONJ
fis-1354	120	28	n	n	PRON
fis-1354	120	29			PROPN
fis-1354	120	30			PROPN
fis-1354	120	31			PROPN
fis-1354	120	32			ADJ
fis-1354	120	33			PROPN
fis-1354	120	34			PROPN
fis-1354	120	35			PROPN
fis-1354	120	36			PROPN
fis-1354	120	37			ADJ
fis-1354	120	38			NOUN
fis-1354	120	39			VERB
fis-1354	121	1			NOUN
fis-1354	122	1			NUM
fis-1354	122	2			PROPN
fis-1354	123	1			PROPN
fis-1354	123	2			PROPN
fis-1354	123	3			NOUN
fis-1354	123	4			NOUN
fis-1354	123	5			X
fis-1354	123	6			X
fis-1354	123	7			PROPN
fis-1354	123	8			PROPN
fis-1354	123	9			PROPN
fis-1354	123	10			NUM
fis-1354	123	11	(	(	PUNCT
fis-1354	123	12	10	10	NUM
fis-1354	123	13	)	)	PUNCT
fis-1354	123	14	where	where	SCONJ
fis-1354	123	15	p	p	NOUN
fis-1354	123	16	is	be	AUX
fis-1354	123	17	the	the	DET
fis-1354	123	18	probability	probability	NOUN
fis-1354	123	19	of	of	ADP
fis-1354	123	20	failure	failure	NOUN
fis-1354	123	21	,	,	PUNCT
fis-1354	123	22	n0	n0	ADJ
fis-1354	123	23	and	and	CCONJ
fis-1354	123	24	εa0	εa0	NOUN
fis-1354	123	25	are	be	AUX
fis-1354	123	26	normalizing	normalize	VERB
fis-1354	123	27	values	value	NOUN
fis-1354	123	28	,	,	PUNCT
fis-1354	123	29	and	and	CCONJ
fis-1354	123	30	λ	λ	PROPN
fis-1354	123	31	,	,	PUNCT
fis-1354	123	32	δ	δ	PROPN
fis-1354	123	33	and	and	CCONJ
fis-1354	123	34	β	β	X
fis-1354	123	35	are	be	AUX
fis-1354	123	36	the	the	DET
fis-1354	123	37	non	non	ADJ
fis-1354	123	38	-	-	ADJ
fis-1354	123	39	dimensional	dimensional	ADJ
fis-1354	123	40	weibull	weibull	NOUN
fis-1354	123	41	model	model	NOUN
fis-1354	123	42	parameters	parameter	NOUN
fis-1354	123	43	.	.	PUNCT
fis-1354	124	1	their	their	PRON
fis-1354	124	2	physical	physical	ADJ
fis-1354	124	3	meanings	meaning	NOUN
fis-1354	124	4	(	(	PUNCT
fis-1354	124	5	see	see	VERB
fis-1354	124	6	fig	fig	NOUN
fis-1354	124	7	.	.	PUNCT
fis-1354	125	1	2	2	NUM
fis-1354	125	2	)	)	PUNCT
fis-1354	125	3	are	be	AUX
fis-1354	125	4	:	:	PUNCT
fis-1354	125	5	n0	n0	ADJ
fis-1354	125	6	:	:	PUNCT
fis-1354	125	7	threshold	threshold	NOUN
fis-1354	125	8	value	value	NOUN
fis-1354	125	9	of	of	ADP
fis-1354	125	10	lifetime	lifetime	NOUN
fis-1354	125	11	;	;	PUNCT
fis-1354	125	12	εa0	εa0	PROPN
fis-1354	125	13	:	:	PUNCT
fis-1354	125	14	endurance	endurance	NOUN
fis-1354	125	15	limit	limit	NOUN
fis-1354	125	16	of	of	ADP
fis-1354	125	17	εa	εa	NOUN
fis-1354	125	18	;	;	PUNCT
fis-1354	125	19	λ	λ	NOUN
fis-1354	125	20	:	:	PUNCT
fis-1354	125	21	parameter	parameter	NOUN
fis-1354	125	22	defining	define	VERB
fis-1354	125	23	the	the	DET
fis-1354	125	24	position	position	NOUN
fis-1354	125	25	of	of	ADP
fis-1354	125	26	the	the	DET
fis-1354	125	27	corresponding	corresponding	ADJ
fis-1354	125	28	zero	zero	NUM
fis-1354	125	29	-	-	PUNCT
fis-1354	125	30	percentile	percentile	NOUN
fis-1354	125	31	curve	curve	NOUN
fis-1354	125	32	;	;	PUNCT
fis-1354	125	33	δ	δ	NOUN
fis-1354	125	34	:	:	PUNCT
fis-1354	125	35	scale	scale	NOUN
fis-1354	125	36	parameter	parameter	NOUN
fis-1354	125	37	;	;	PUNCT
fis-1354	125	38	β	β	X
fis-1354	125	39	:	:	PUNCT
fis-1354	125	40	shape	shape	NOUN
fis-1354	125	41	parameter	parameter	NOUN
fis-1354	125	42	.	.	PUNCT
fis-1354	126	1	note	note	VERB
fis-1354	126	2	that	that	SCONJ
fis-1354	126	3	the	the	DET
fis-1354	126	4	strain	strain	NOUN
fis-1354	126	5	-	-	PUNCT
fis-1354	126	6	life	life	NOUN
fis-1354	126	7	model	model	NOUN
fis-1354	126	8	(	(	PUNCT
fis-1354	126	9	eq	eq	NOUN
fis-1354	126	10	.	.	PROPN
fis-1354	126	11	(	(	PUNCT
fis-1354	126	12	10	10	NUM
fis-1354	126	13	)	)	PUNCT
fis-1354	126	14	)	)	PUNCT
fis-1354	126	15	has	have	VERB
fis-1354	126	16	a	a	DET
fis-1354	126	17	dimensionless	dimensionless	NOUN
fis-1354	126	18	form	form	NOUN
fis-1354	126	19	and	and	CCONJ
fis-1354	126	20	reveals	reveal	VERB
fis-1354	126	21	that	that	SCONJ
fis-1354	126	22	the	the	DET
fis-1354	126	23	probability	probability	NOUN
fis-1354	126	24	of	of	ADP
fis-1354	126	25	failure	failure	NOUN
fis-1354	126	26	p	p	NOUN
fis-1354	126	27	depends	depend	VERB
fis-1354	126	28	only	only	ADV
fis-1354	126	29	on	on	ADP
fis-1354	126	30	the	the	DET
fis-1354	126	31	product	product	NOUN
fis-1354	126	32	*	*	PUNCT
fis-1354	126	33	*	*	PUNCT
fis-1354	126	34	af	af	X
fis-1354	126	35	εn	εn	ADJ
fis-1354	126	36	,	,	PUNCT
fis-1354	126	37	where	where	SCONJ
fis-1354	126	38			NOUN
fis-1354	127	1	0	0	NOUN
fis-1354	127	2	*	*	PUNCT
fis-1354	127	3	log	log	NOUN
fis-1354	127	4	nnn	nnn	PROPN
fis-1354	128	1	ff	ff	NOUN
fis-1354	128	2			PROPN
fis-1354	128	3	and	and	CCONJ
fis-1354	128	4			NOUN
fis-1354	129	1	0	0	NOUN
fis-1354	129	2	*	*	PUNCT
fis-1354	129	3	log	log	NOUN
fis-1354	129	4	aaa	aaa	NOUN
fis-1354	129	5	εεε	εεε	NOUN
fis-1354	129	6			PRON
fis-1354	129	7	,	,	PUNCT
fis-1354	129	8	that	that	PRON
fis-1354	129	9	is	be	AUX
fis-1354	129	10	:	:	PUNCT
fis-1354	129	11	*	*	PUNCT
fis-1354	129	12	*	*	PUNCT
fis-1354	129	13	*	*	PUNCT
fis-1354	130	1	*	*	PUNCT
fis-1354	130	2	*	*	PUNCT
fis-1354	130	3	~	~	PUNCT
fis-1354	130	4	(	(	PUNCT
fis-1354	130	5	,	,	PUNCT
fis-1354	130	6	,	,	PUNCT
fis-1354	130	7	)	)	PUNCT
fis-1354	130	8	~	~	PUNCT
fis-1354	130	9	,	,	PUNCT
fis-1354	130	10	,	,	PUNCT
fis-1354	130	11	f	f	PROPN
fis-1354	131	1	a	a	PRON
fis-1354	131	2	f	f	X
fis-1354	131	3	a	a	DET
fis-1354	131	4	a	a	PROPN
fis-1354	131	5	n	n	ADV
fis-1354	131	6	w	w	PROPN
fis-1354	131	7	n	n	PROPN
fis-1354	131	8	w	w	PROPN
fis-1354	131	9			ADJ
fis-1354	131	10			NOUN
fis-1354	131	11			ADJ
fis-1354	131	12			PROPN
fis-1354	131	13			PROPN
fis-1354	131	14			PROPN
fis-1354	131	15			PROPN
fis-1354	131	16			PROPN
fis-1354	131	17			NOUN
fis-1354	131	18			PROPN
fis-1354	131	19			PROPN
fis-1354	131	20			PROPN
fis-1354	131	21			PROPN
fis-1354	132	1			PROPN
fis-1354	132	2			NOUN
fis-1354	132	3	(	(	PUNCT
fis-1354	132	4	11	11	NUM
fis-1354	132	5	)	)	PUNCT
fis-1354	132	6	i.e.	i.e.	X
fis-1354	132	7	,	,	PUNCT
fis-1354	132	8	*	*	PUNCT
fis-1354	132	9	*	*	PUNCT
fis-1354	132	10	af	af	NOUN
fis-1354	132	11	εn	εn	ADJ
fis-1354	132	12	has	have	VERB
fis-1354	132	13	a	a	DET
fis-1354	132	14	weibull	weibull	NOUN
fis-1354	132	15	distribution	distribution	NOUN
fis-1354	132	16	.	.	PUNCT
fis-1354	133	1	this	this	DET
fis-1354	133	2	model	model	NOUN
fis-1354	133	3	provides	provide	VERB
fis-1354	133	4	a	a	DET
fis-1354	133	5	complete	complete	ADJ
fis-1354	133	6	analytical	analytical	ADJ
fis-1354	133	7	description	description	NOUN
fis-1354	133	8	of	of	ADP
fis-1354	133	9	the	the	DET
fis-1354	133	10	statistical	statistical	ADJ
fis-1354	133	11	properties	property	NOUN
fis-1354	133	12	of	of	ADP
fis-1354	133	13	the	the	DET
fis-1354	133	14	physical	physical	ADJ
fis-1354	133	15	problem	problem	NOUN
fis-1354	133	16	being	be	AUX
fis-1354	133	17	dealt	deal	VERB
fis-1354	133	18	with	with	ADP
fis-1354	133	19	,	,	PUNCT
fis-1354	133	20	including	include	VERB
fis-1354	133	21	the	the	DET
fis-1354	133	22	quantile	quantile	ADJ
fis-1354	133	23	curves	curve	NOUN
fis-1354	133	24	without	without	ADP
fis-1354	133	25	the	the	DET
fis-1354	133	26	need	need	NOUN
fis-1354	133	27	of	of	ADP
fis-1354	133	28	separating	separate	VERB
fis-1354	133	29	the	the	DET
fis-1354	133	30	total	total	ADJ
fis-1354	133	31	strain	strain	NOUN
fis-1354	133	32	in	in	ADP
fis-1354	133	33	its	its	PRON
fis-1354	133	34	elastic	elastic	ADJ
fis-1354	133	35	and	and	CCONJ
fis-1354	133	36	plastic	plastic	ADJ
fis-1354	133	37	components	component	NOUN
fis-1354	133	38	but	but	CCONJ
fis-1354	133	39	dealing	deal	VERB
fis-1354	133	40	with	with	ADP
fis-1354	133	41	the	the	DET
fis-1354	133	42	total	total	ADJ
fis-1354	133	43	strains	strain	VERB
fis-1354	133	44	directly	directly	ADV
fis-1354	133	45	[	[	X
fis-1354	133	46	20	20	NUM
fis-1354	133	47	]	]	PUNCT
fis-1354	133	48	.	.	PUNCT
fis-1354	134	1	with	with	ADP
fis-1354	134	2	respect	respect	NOUN
fis-1354	134	3	to	to	ADP
fis-1354	134	4	the	the	DET
fis-1354	134	5	conventional	conventional	ADJ
fis-1354	134	6	coffin	coffin	NOUN
fis-1354	134	7	-	-	PUNCT
fis-1354	134	8	manson	manson	NOUN
fis-1354	134	9	approach	approach	NOUN
fis-1354	134	10	,	,	PUNCT
fis-1354	134	11	the	the	DET
fis-1354	134	12	strain	strain	NOUN
fis-1354	134	13	-	-	PUNCT
fis-1354	134	14	life	life	NOUN
fis-1354	134	15	probabilistic	probabilistic	ADJ
fis-1354	134	16	model	model	NOUN
fis-1354	134	17	show	show	VERB
fis-1354	134	18	some	some	DET
fis-1354	134	19	advantages	advantage	NOUN
fis-1354	134	20	:	:	PUNCT
fis-1354	134	21	it	it	PRON
fis-1354	134	22	arises	arise	VERB
fis-1354	134	23	from	from	ADP
fis-1354	134	24	sound	sound	ADJ
fis-1354	134	25	statistical	statistical	ADJ
fis-1354	134	26	and	and	CCONJ
fis-1354	134	27	physical	physical	ADJ
fis-1354	134	28	assumptions	assumption	NOUN
fis-1354	134	29	and	and	CCONJ
fis-1354	134	30	not	not	PART
fis-1354	134	31	from	from	ADP
fis-1354	134	32	an	an	DET
fis-1354	134	33	empirical	empirical	ADJ
fis-1354	134	34	arbitrary	arbitrary	ADJ
fis-1354	134	35	assumption	assumption	NOUN
fis-1354	134	36	;	;	PUNCT
fis-1354	134	37	it	it	PRON
fis-1354	134	38	provides	provide	VERB
fis-1354	134	39	a	a	DET
fis-1354	134	40	probabilistic	probabilistic	ADJ
fis-1354	134	41	definition	definition	NOUN
fis-1354	134	42	of	of	ADP
fis-1354	134	43	the	the	DET
fis-1354	134	44	whole	whole	ADJ
fis-1354	134	45	strain	strain	NOUN
fis-1354	134	46	-	-	PUNCT
fis-1354	134	47	life	life	NOUN
fis-1354	134	48	field	field	NOUN
fis-1354	134	49	;	;	PUNCT
fis-1354	134	50	it	it	PRON
fis-1354	134	51	does	do	AUX
fis-1354	134	52	not	not	PART
fis-1354	134	53	need	need	VERB
fis-1354	134	54	to	to	PART
fis-1354	134	55	consider	consider	VERB
fis-1354	134	56	separately	separately	ADV
fis-1354	134	57	the	the	DET
fis-1354	134	58	elastic	elastic	ADJ
fis-1354	134	59	and	and	CCONJ
fis-1354	134	60	the	the	DET
fis-1354	134	61	plastic	plastic	NOUN
fis-1354	134	62	strains	strain	NOUN
fis-1354	134	63	;	;	PUNCT
fis-1354	134	64	the	the	DET
fis-1354	134	65	run	run	NOUN
fis-1354	134	66	-	-	PUNCT
fis-1354	134	67	outs	out	NOUN
fis-1354	134	68	can	can	AUX
fis-1354	134	69	also	also	ADV
fis-1354	134	70	be	be	AUX
fis-1354	134	71	used	use	VERB
fis-1354	134	72	in	in	ADP
fis-1354	134	73	the	the	DET
fis-1354	134	74	analysis	analysis	NOUN
fis-1354	134	75	,	,	PUNCT
fis-1354	134	76	and	and	CCONJ
fis-1354	134	77	facilitates	facilitate	VERB
fis-1354	134	78	damage	damage	NOUN
fis-1354	134	79	analysis	analysis	NOUN
fis-1354	134	80	.	.	PUNCT
fis-1354	135	1	log	log	NOUN
fis-1354	135	2	 	 	SPACE
fis-1354	135	3	nf	nf	NOUN
fis-1354	135	4	  	  	SPACE
fis-1354	135	5	c	c	NOUN
fis-1354	135	6	=	=	VERB
fis-1354	135	7	log	log	NOUN
fis-1354	135	8	 	 	SPACE
fis-1354	135	9	εa0	εa0	NOUN
fis-1354	136	1	lo	lo	PROPN
fis-1354	136	2	g	g	PROPN
fis-1354	136	3	 	 	SPACE
fis-1354	136	4	ε	ε	PROPN
fis-1354	136	5	a	a	DET
fis-1354	136	6	b	b	PROPN
fis-1354	136	7	=	=	SYM
fis-1354	136	8	lo	lo	PROPN
fis-1354	136	9	g	g	PROPN
fis-1354	136	10	 	 	SPACE
fis-1354	136	11	n	n	ADV
fis-1354	136	12	0	0	NUM
fis-1354	136	13	   	   	SPACE
fis-1354	136	14	p=0	p=0	PROPN
fis-1354	136	15	  	  	SPACE
fis-1354	136	16	p=0.05	p=0.05	NOUN
fis-1354	136	17	  	  	SPACE
fis-1354	136	18	p=0.5	p=0.5	NOUN
fis-1354	136	19	  	  	SPACE
fis-1354	136	20	p=0.95	p=0.95	NOUN
fis-1354	136	21	figure	figure	NOUN
fis-1354	136	22	2	2	NUM
fis-1354	136	23	:	:	PUNCT
fis-1354	136	24	percentile	percentile	ADJ
fis-1354	136	25	curves	curve	NOUN
fis-1354	136	26	representing	represent	VERB
fis-1354	136	27	the	the	DET
fis-1354	136	28	relationship	relationship	NOUN
fis-1354	136	29	between	between	ADP
fis-1354	136	30	dimensionless	dimensionless	NOUN
fis-1354	136	31	lifetime	lifetime	NOUN
fis-1354	136	32	,	,	PUNCT
fis-1354	136	33	nf	nf	NOUN
fis-1354	136	34	*	*	PUNCT
fis-1354	136	35	,	,	PUNCT
fis-1354	136	36	and	and	CCONJ
fis-1354	136	37	the	the	DET
fis-1354	136	38	strain	strain	NOUN
fis-1354	136	39	amplitude	amplitude	NOUN
fis-1354	136	40	,	,	PUNCT
fis-1354	136	41	εa	εa	NOUN
fis-1354	136	42	*	*	NOUN
fis-1354	136	43	:	:	PUNCT
fis-1354	136	44	p	p	X
fis-1354	136	45	-	-	PUNCT
fis-1354	136	46	εa	εa	NOUN
fis-1354	136	47	-	-	PUNCT
fis-1354	136	48	n	n	NOUN
fis-1354	136	49	field	field	NOUN
fis-1354	136	50	.	.	PUNCT
fis-1354	137	1	the	the	DET
fis-1354	137	2	swt	swt	PROPN
fis-1354	137	3	(=	(=	PROPN
fis-1354	137	4	σmax.εa	σmax.εa	PROPN
fis-1354	137	5	)	)	PUNCT
fis-1354	137	6	parameter	parameter	NOUN
fis-1354	137	7	was	be	AUX
fis-1354	137	8	proposed	propose	VERB
fis-1354	137	9	by	by	ADP
fis-1354	137	10	smith	smith	PROPN
fis-1354	137	11	et	et	PROPN
fis-1354	137	12	al	al	PROPN
fis-1354	137	13	.	.	PUNCT
fis-1354	138	1	[	[	X
fis-1354	138	2	8	8	NUM
fis-1354	138	3	]	]	PUNCT
fis-1354	138	4	in	in	ADP
fis-1354	138	5	order	order	NOUN
fis-1354	138	6	to	to	PART
fis-1354	138	7	account	account	VERB
fis-1354	138	8	for	for	ADP
fis-1354	138	9	mean	mean	ADJ
fis-1354	138	10	stress	stress	NOUN
fis-1354	138	11	effects	effect	NOUN
fis-1354	138	12	on	on	ADP
fis-1354	138	13	fatigue	fatigue	NOUN
fis-1354	138	14	life	life	NOUN
fis-1354	138	15	prediction	prediction	NOUN
fis-1354	138	16	.	.	PUNCT
fis-1354	139	1	any	any	DET
fis-1354	139	2	combination	combination	NOUN
fis-1354	139	3	of	of	ADP
fis-1354	139	4	maximum	maximum	ADJ
fis-1354	139	5	stress	stress	NOUN
fis-1354	139	6	and	and	CCONJ
fis-1354	139	7	strain	strain	VERB
fis-1354	139	8	amplitude	amplitude	NOUN
fis-1354	139	9	that	that	PRON
fis-1354	139	10	leads	lead	VERB
fis-1354	139	11	to	to	ADP
fis-1354	139	12	the	the	DET
fis-1354	139	13	same	same	ADJ
fis-1354	139	14	swt	swt	PROPN
fis-1354	139	15	parameter	parameter	NOUN
fis-1354	139	16	should	should	AUX
fis-1354	139	17	lead	lead	VERB
fis-1354	139	18	j.a.f.o	j.a.f.o	PROPN
fis-1354	139	19	.	.	PUNCT
fis-1354	139	20	correia	correia	PROPN
fis-1354	139	21	et	et	PROPN
fis-1354	139	22	alii	alii	PROPN
fis-1354	139	23	,	,	PUNCT
fis-1354	139	24	frattura	frattura	PROPN
fis-1354	139	25	ed	ed	PROPN
fis-1354	139	26	integrità	integrità	PROPN
fis-1354	139	27	strutturale	strutturale	PROPN
fis-1354	139	28	,	,	PUNCT
fis-1354	139	29	31	31	NUM
fis-1354	139	30	(	(	PUNCT
fis-1354	139	31	2015	2015	NUM
fis-1354	139	32	)	)	PUNCT
fis-1354	139	33	80	80	NUM
fis-1354	139	34	-	-	SYM
fis-1354	139	35	96	96	NUM
fis-1354	139	36	;	;	PUNCT
fis-1354	139	37	doi	doi	NOUN
fis-1354	139	38	:	:	PUNCT
fis-1354	139	39	10.3221	10.3221	NUM
fis-1354	139	40	/	/	SYM
fis-1354	139	41	igf	igf	PROPN
fis-1354	139	42	-	-	ADJ
fis-1354	139	43	esis.31.07	esis.31.07	PROPN
fis-1354	139	44	85	85	NUM
fis-1354	139	45	to	to	ADP
fis-1354	139	46	the	the	DET
fis-1354	139	47	same	same	ADJ
fis-1354	139	48	fatigue	fatigue	NOUN
fis-1354	139	49	life	life	NOUN
fis-1354	139	50	.	.	PUNCT
fis-1354	140	1	the	the	DET
fis-1354	140	2	swt	swt	PROPN
fis-1354	140	3	-	-	PUNCT
fis-1354	140	4	n	n	PROPN
fis-1354	140	5	and	and	CCONJ
fis-1354	140	6	εa	εa	X
fis-1354	140	7	-n	-n	PUNCT
fis-1354	140	8	fields	field	NOUN
fis-1354	140	9	exhibit	exhibit	VERB
fis-1354	140	10	similar	similar	ADJ
fis-1354	140	11	characteristics	characteristic	NOUN
fis-1354	140	12	.	.	PUNCT
fis-1354	141	1	therefore	therefore	ADV
fis-1354	141	2	the	the	DET
fis-1354	141	3	p	p	PROPN
fis-1354	141	4	-	-	PUNCT
fis-1354	141	5	ε	ε	VERB
fis-1354	141	6	-	-	PUNCT
fis-1354	141	7	n	n	PRON
fis-1354	141	8	field	field	NOUN
fis-1354	141	9	proposed	propose	VERB
fis-1354	141	10	by	by	ADP
fis-1354	141	11	castillo	castillo	PROPN
fis-1354	141	12	and	and	CCONJ
fis-1354	141	13	fernández	fernández	PROPN
fis-1354	141	14	-	-	PUNCT
fis-1354	141	15	canteli	canteli	PROPN
fis-1354	142	1	[	[	X
fis-1354	142	2	20	20	NUM
fis-1354	142	3	]	]	PUNCT
fis-1354	142	4	may	may	AUX
fis-1354	142	5	be	be	AUX
fis-1354	142	6	extended	extend	VERB
fis-1354	142	7	to	to	PART
fis-1354	142	8	represent	represent	VERB
fis-1354	142	9	the	the	DET
fis-1354	142	10	p	p	PROPN
fis-1354	142	11	-	-	PUNCT
fis-1354	142	12	swt	swt	VERB
fis-1354	142	13	-	-	PUNCT
fis-1354	142	14	n	n	NOUN
fis-1354	142	15	field	field	NOUN
fis-1354	142	16	as	as	ADP
fis-1354	142	17	:	:	PUNCT
fis-1354	142	18			NOUN
fis-1354	142	19			PROPN
fis-1354	142	20			NOUN
fis-1354	142	21			SYM
fis-1354	142	22			NOUN
fis-1354	142	23			SYM
fis-1354	142	24			NOUN
fis-1354	142	25			PUNCT
fis-1354	142	26	0	0	PUNCT
fis-1354	142	27	0	0	NUM
fis-1354	142	28	*	*	PUNCT
fis-1354	142	29	*	*	PUNCT
fis-1354	142	30	0	0	NUM
fis-1354	142	31	0	0	NUM
fis-1354	142	32	log	log	NOUN
fis-1354	142	33	log	log	NOUN
fis-1354	142	34	(	(	PUNCT
fis-1354	142	35	;	;	PUNCT
fis-1354	142	36	)	)	PUNCT
fis-1354	142	37	1	1	NUM
fis-1354	142	38	exp	exp	NOUN
fis-1354	142	39	log	log	NOUN
fis-1354	142	40	log	log	NOUN
fis-1354	143	1	f	f	PROPN
fis-1354	143	2	f	f	PROPN
fis-1354	143	3	f	f	PROPN
fis-1354	143	4	n	n	CCONJ
fis-1354	143	5	n	n	PROPN
fis-1354	143	6	swt	swt	PROPN
fis-1354	143	7	swt	swt	PROPN
fis-1354	144	1	p	p	PROPN
fis-1354	144	2	f	f	PROPN
fis-1354	144	3	n	n	PROPN
fis-1354	144	4	swt	swt	PROPN
fis-1354	144	5	n	n	CCONJ
fis-1354	144	6	n	n	PROPN
fis-1354	144	7	swt	swt	PROPN
fis-1354	144	8	swt	swt	PROPN
fis-1354	144	9			PROPN
fis-1354	144	10			NOUN
fis-1354	144	11			NUM
fis-1354	144	12			X
fis-1354	144	13			NOUN
fis-1354	144	14			PART
fis-1354	145	1			NOUN
fis-1354	146	1			NUM
fis-1354	146	2			PROPN
fis-1354	147	1			PROPN
fis-1354	147	2			PROPN
fis-1354	147	3			NOUN
fis-1354	147	4			NOUN
fis-1354	147	5			X
fis-1354	147	6			X
fis-1354	147	7			PROPN
fis-1354	147	8			PROPN
fis-1354	147	9			PROPN
fis-1354	147	10			NUM
fis-1354	147	11	(	(	PUNCT
fis-1354	147	12	12	12	NUM
fis-1354	147	13	)	)	PUNCT
fis-1354	147	14	where	where	SCONJ
fis-1354	147	15	p	p	NOUN
fis-1354	147	16	is	be	AUX
fis-1354	147	17	the	the	DET
fis-1354	147	18	probability	probability	NOUN
fis-1354	147	19	of	of	ADP
fis-1354	147	20	failure	failure	NOUN
fis-1354	147	21	,	,	PUNCT
fis-1354	147	22	n0	n0	ADJ
fis-1354	147	23	and	and	CCONJ
fis-1354	147	24	swt0	swt0	NOUN
fis-1354	147	25	are	be	AUX
fis-1354	147	26	normalizing	normalize	VERB
fis-1354	147	27	values	value	NOUN
fis-1354	147	28	,	,	PUNCT
fis-1354	147	29	and	and	CCONJ
fis-1354	147	30	λ	λ	PROPN
fis-1354	147	31	,	,	PUNCT
fis-1354	147	32	δ	δ	PROPN
fis-1354	147	33	and	and	CCONJ
fis-1354	147	34	β	β	X
fis-1354	147	35	are	be	AUX
fis-1354	147	36	the	the	DET
fis-1354	147	37	non	non	ADJ
fis-1354	147	38	-	-	ADJ
fis-1354	147	39	dimensional	dimensional	ADJ
fis-1354	147	40	weibull	weibull	NOUN
fis-1354	147	41	model	model	NOUN
fis-1354	147	42	parameters	parameter	NOUN
fis-1354	147	43	.	.	PUNCT
fis-1354	148	1	similarly	similarly	ADV
fis-1354	148	2	to	to	ADP
fis-1354	148	3	the	the	DET
fis-1354	148	4	p	p	PROPN
fis-1354	148	5	-	-	PUNCT
fis-1354	148	6	ε	ε	VERB
fis-1354	148	7	-	-	PUNCT
fis-1354	148	8	n	n	PRON
fis-1354	148	9	field	field	NOUN
fis-1354	148	10	,	,	PUNCT
fis-1354	148	11	the	the	DET
fis-1354	148	12	physical	physical	ADJ
fis-1354	148	13	meaning	meaning	NOUN
fis-1354	148	14	of	of	ADP
fis-1354	148	15	the	the	DET
fis-1354	148	16	parameters	parameter	NOUN
fis-1354	148	17	from	from	ADP
fis-1354	148	18	eq	eq	PROPN
fis-1354	148	19	.	.	PUNCT
fis-1354	149	1	(	(	PUNCT
fis-1354	149	2	12	12	NUM
fis-1354	149	3	)	)	PUNCT
fis-1354	149	4	(	(	PUNCT
fis-1354	149	5	see	see	VERB
fis-1354	149	6	fig	fig	NOUN
fis-1354	149	7	.	.	PUNCT
fis-1354	150	1	3	3	X
fis-1354	150	2	)	)	PUNCT
fis-1354	150	3	are	be	AUX
fis-1354	150	4	:	:	PUNCT
fis-1354	150	5	n0	n0	ADJ
fis-1354	150	6	:	:	PUNCT
fis-1354	150	7	threshold	threshold	NOUN
fis-1354	150	8	value	value	NOUN
fis-1354	150	9	of	of	ADP
fis-1354	150	10	lifetime	lifetime	NOUN
fis-1354	150	11	;	;	PUNCT
fis-1354	150	12	swt0	swt0	NOUN
fis-1354	150	13	:	:	PUNCT
fis-1354	150	14	fatigue	fatigue	NOUN
fis-1354	150	15	limit	limit	NOUN
fis-1354	150	16	of	of	ADP
fis-1354	150	17	swt	swt	PROPN
fis-1354	150	18	;	;	PUNCT
fis-1354	150	19	λ	λ	PROPN
fis-1354	150	20	,	,	PUNCT
fis-1354	150	21	δ	δ	PROPN
fis-1354	150	22	and	and	CCONJ
fis-1354	150	23	β	β	X
fis-1354	150	24	:	:	PUNCT
fis-1354	150	25	weibull	weibull	NOUN
fis-1354	150	26	distribution	distribution	NOUN
fis-1354	150	27	parameters	parameter	NOUN
fis-1354	150	28	.	.	PUNCT
fis-1354	151	1	eq	eq	ADJ
fis-1354	151	2	.	.	PUNCT
fis-1354	152	1	(	(	PUNCT
fis-1354	152	2	12	12	NUM
fis-1354	152	3	)	)	PUNCT
fis-1354	152	4	has	have	VERB
fis-1354	152	5	also	also	ADV
fis-1354	152	6	a	a	DET
fis-1354	152	7	dimensionless	dimensionless	NOUN
fis-1354	152	8	form	form	NOUN
fis-1354	152	9	and	and	CCONJ
fis-1354	152	10	reveals	reveal	VERB
fis-1354	152	11	that	that	SCONJ
fis-1354	152	12	the	the	DET
fis-1354	152	13	probability	probability	NOUN
fis-1354	152	14	of	of	ADP
fis-1354	152	15	failure	failure	NOUN
fis-1354	152	16	p	p	NOUN
fis-1354	152	17	depends	depend	VERB
fis-1354	152	18	only	only	ADV
fis-1354	152	19	on	on	ADP
fis-1354	152	20	the	the	DET
fis-1354	152	21	*	*	ADJ
fis-1354	152	22	*	*	ADJ
fis-1354	152	23	swtn	swtn	PROPN
fis-1354	152	24	f	f	PROPN
fis-1354	152	25	product	product	NOUN
fis-1354	152	26	,	,	PUNCT
fis-1354	152	27	where	where	SCONJ
fis-1354	152	28			NOUN
fis-1354	153	1	0	0	NOUN
fis-1354	153	2	*	*	PUNCT
fis-1354	153	3	log	log	NOUN
fis-1354	153	4	nnn	nnn	PROPN
fis-1354	154	1	ff	ff	NOUN
fis-1354	154	2			PROPN
fis-1354	154	3	and	and	CCONJ
fis-1354	154	4			NOUN
fis-1354	155	1	0	0	NOUN
fis-1354	155	2	*	*	PUNCT
fis-1354	155	3	log	log	PROPN
fis-1354	155	4	swtswtswt	swtswtswt	PROPN
fis-1354	156	1			INTJ
fis-1354	156	2	that	that	PRON
fis-1354	156	3	is	be	AUX
fis-1354	156	4	:	:	PUNCT
fis-1354	156	5	*	*	PUNCT
fis-1354	157	1	*	*	PUNCT
fis-1354	158	1	*	*	PUNCT
fis-1354	159	1	*	*	PUNCT
fis-1354	159	2	*	*	PUNCT
fis-1354	159	3	~	~	PUNCT
fis-1354	159	4	(	(	PUNCT
fis-1354	159	5	,	,	PUNCT
fis-1354	159	6	,	,	PUNCT
fis-1354	159	7	)	)	PUNCT
fis-1354	159	8	~	~	PUNCT
fis-1354	159	9	,	,	PUNCT
fis-1354	159	10	,	,	PUNCT
fis-1354	159	11	f	f	PROPN
fis-1354	159	12	fn	fn	PROPN
fis-1354	160	1	swt	swt	PROPN
fis-1354	160	2	w	w	PROPN
fis-1354	160	3	n	n	PROPN
fis-1354	160	4	w	w	PROPN
fis-1354	160	5	swt	swt	PROPN
fis-1354	160	6	swt	swt	PROPN
fis-1354	160	7			X
fis-1354	160	8			NUM
fis-1354	160	9			NUM
fis-1354	160	10			PROPN
fis-1354	160	11			PROPN
fis-1354	160	12			NOUN
fis-1354	160	13			PROPN
fis-1354	160	14			PROPN
fis-1354	160	15			PROPN
fis-1354	160	16			PROPN
fis-1354	161	1			PROPN
fis-1354	161	2			NOUN
fis-1354	161	3	(	(	PUNCT
fis-1354	161	4	13	13	NUM
fis-1354	161	5	)	)	PUNCT
fis-1354	161	6	i.e.	i.e.	X
fis-1354	161	7	,	,	PUNCT
fis-1354	161	8	*	*	PUNCT
fis-1354	161	9	*	*	PUNCT
fis-1354	161	10	swtn	swtn	PROPN
fis-1354	161	11	f	f	PROPN
fis-1354	161	12	follows	follow	VERB
fis-1354	161	13	a	a	DET
fis-1354	161	14	weibull	weibull	NOUN
fis-1354	161	15	distribution	distribution	NOUN
fis-1354	161	16	.	.	PUNCT
fis-1354	162	1	the	the	DET
fis-1354	162	2	parameters	parameter	NOUN
fis-1354	162	3	log	log	VERB
fis-1354	162	4	n0	n0	ADJ
fis-1354	162	5	and	and	CCONJ
fis-1354	162	6	log	log	VERB
fis-1354	162	7	εa0	εa0	PROPN
fis-1354	162	8	of	of	ADP
fis-1354	162	9	the	the	DET
fis-1354	162	10	p	p	NOUN
fis-1354	162	11	-	-	PUNCT
fis-1354	162	12	εa	εa	NOUN
fis-1354	162	13	-	-	PUNCT
fis-1354	162	14	n	n	PRON
fis-1354	162	15	model	model	NOUN
fis-1354	162	16	,	,	PUNCT
fis-1354	162	17	log	log	NOUN
fis-1354	162	18	n0	n0	NOUN
fis-1354	162	19	and	and	CCONJ
fis-1354	162	20	log	log	VERB
fis-1354	162	21	swt0	swt0	NOUN
fis-1354	162	22	of	of	ADP
fis-1354	162	23	the	the	DET
fis-1354	162	24	p	p	PROPN
fis-1354	162	25	-	-	PUNCT
fis-1354	162	26	swt	swt	PROPN
fis-1354	162	27	-	-	PUNCT
fis-1354	162	28	n	n	NOUN
fis-1354	162	29	model	model	NOUN
fis-1354	162	30	can	can	AUX
fis-1354	162	31	be	be	AUX
fis-1354	162	32	estimated	estimate	VERB
fis-1354	162	33	by	by	ADP
fis-1354	162	34	least	least	ADJ
fis-1354	162	35	square	square	ADJ
fis-1354	162	36	method	method	NOUN
fis-1354	162	37	.	.	PUNCT
fis-1354	163	1	the	the	DET
fis-1354	163	2	weibull	weibull	PROPN
fis-1354	163	3	parameters	parameter	NOUN
fis-1354	163	4	can	can	AUX
fis-1354	163	5	be	be	AUX
fis-1354	163	6	estimated	estimate	VERB
fis-1354	163	7	using	use	VERB
fis-1354	163	8	the	the	DET
fis-1354	163	9	maximum	maximum	ADJ
fis-1354	163	10	likelihood	likelihood	NOUN
fis-1354	163	11	method	method	NOUN
fis-1354	163	12	[	[	X
fis-1354	163	13	27	27	NUM
fis-1354	163	14	,	,	PUNCT
fis-1354	163	15	28	28	NUM
fis-1354	163	16	]	]	PUNCT
fis-1354	163	17	.	.	PUNCT
fis-1354	164	1	log	log	VERB
fis-1354	164	2	nf	nf	PROPN
fis-1354	164	3	*	*	PROPN
fis-1354	164	4	swt0	swt0	PROPN
fis-1354	164	5	n0	n0	PROPN
fis-1354	164	6	  	  	SPACE
fis-1354	164	7	p=0	p=0	PROPN
fis-1354	164	8	p=0.05	p=0.05	NOUN
fis-1354	164	9	p=0.5	p=0.5	NOUN
fis-1354	164	10	p=0.95lo	p=0.95lo	VERB
fis-1354	164	11	g	g	PROPN
fis-1354	164	12	 	 	SPACE
fis-1354	164	13	s	s	PROPN
fis-1354	164	14	w	w	PROPN
fis-1354	164	15	t	t	PROPN
fis-1354	164	16	*	*	PUNCT
fis-1354	164	17	   	   	SPACE
fis-1354	164	18	figure	figure	NOUN
fis-1354	164	19	3	3	NUM
fis-1354	164	20	:	:	PUNCT
fis-1354	164	21	percentile	percentile	ADJ
fis-1354	164	22	curves	curve	NOUN
fis-1354	164	23	representing	represent	VERB
fis-1354	164	24	the	the	DET
fis-1354	164	25	relationship	relationship	NOUN
fis-1354	164	26	between	between	ADP
fis-1354	164	27	dimensionless	dimensionless	NOUN
fis-1354	164	28	lifetime	lifetime	NOUN
fis-1354	164	29	,	,	PUNCT
fis-1354	164	30	nf	nf	NOUN
fis-1354	164	31	*	*	PUNCT
fis-1354	164	32	,	,	PUNCT
fis-1354	164	33	and	and	CCONJ
fis-1354	164	34	the	the	DET
fis-1354	164	35	swt	swt	PROPN
fis-1354	164	36	*	*	PROPN
fis-1354	164	37	damage	damage	NOUN
fis-1354	164	38	parameter	parameter	NOUN
fis-1354	164	39	:	:	PUNCT
fis-1354	164	40	pswt	pswt	NOUN
fis-1354	164	41	-	-	PUNCT
fis-1354	164	42	nf	nf	NOUN
fis-1354	164	43	field	field	NOUN
fis-1354	164	44	.	.	PUNCT
fis-1354	165	1	procedure	procedure	NOUN
fis-1354	165	2	to	to	PART
fis-1354	165	3	generate	generate	VERB
fis-1354	165	4	probabilistic	probabilistic	ADJ
fis-1354	165	5	fatigue	fatigue	NOUN
fis-1354	165	6	crack	crack	NOUN
fis-1354	165	7	propagation	propagation	NOUN
fis-1354	165	8	fields	field	NOUN
fis-1354	165	9	he	he	PRON
fis-1354	165	10	procedure	procedure	NOUN
fis-1354	165	11	proposed	propose	VERB
fis-1354	165	12	to	to	PART
fis-1354	165	13	derive	derive	VERB
fis-1354	165	14	probabilistic	probabilistic	ADJ
fis-1354	165	15	fatigue	fatigue	NOUN
fis-1354	165	16	crack	crack	NOUN
fis-1354	165	17	propagation	propagation	NOUN
fis-1354	165	18	fields	field	NOUN
fis-1354	165	19	may	may	AUX
fis-1354	165	20	be	be	AUX
fis-1354	165	21	summarized	summarize	VERB
fis-1354	165	22	into	into	ADP
fis-1354	165	23	the	the	DET
fis-1354	165	24	following	follow	VERB
fis-1354	165	25	steps	step	NOUN
fis-1354	165	26	:	:	PUNCT
fis-1354	165	27	1	1	NUM
fis-1354	165	28	)	)	PUNCT
fis-1354	165	29	estimation	estimation	NOUN
fis-1354	165	30	of	of	ADP
fis-1354	165	31	the	the	DET
fis-1354	165	32	weibull	weibull	PROPN
fis-1354	165	33	parameters	parameter	NOUN
fis-1354	165	34	for	for	ADP
fis-1354	165	35	the	the	DET
fis-1354	165	36	p	p	PROPN
fis-1354	165	37	-	-	PUNCT
fis-1354	165	38	swt	swt	NOUN
fis-1354	165	39	-	-	PUNCT
fis-1354	165	40	n	n	NOUN
fis-1354	165	41	or	or	CCONJ
fis-1354	165	42	p	p	NOUN
fis-1354	165	43	-	-	PUNCT
fis-1354	165	44	εa	εa	NOUN
fis-1354	165	45	-	-	PUNCT
fis-1354	165	46	n	n	NOUN
fis-1354	165	47	fields	field	NOUN
fis-1354	165	48	,	,	PUNCT
fis-1354	165	49	using	use	VERB
fis-1354	165	50	experimental	experimental	ADJ
fis-1354	165	51	εa	εa	NOUN
fis-1354	165	52	-	-	PUNCT
fis-1354	165	53	n	n	NOUN
fis-1354	165	54	or	or	CCONJ
fis-1354	165	55	swt	swt	PROPN
fis-1354	165	56	-	-	PUNCT
fis-1354	165	57	n	n	PROPN
fis-1354	165	58	data	datum	NOUN
fis-1354	165	59	from	from	ADP
fis-1354	165	60	smooth	smooth	ADJ
fis-1354	165	61	specimens	specimen	NOUN
fis-1354	165	62	;	;	PUNCT
fis-1354	165	63	2	2	X
fis-1354	165	64	)	)	PUNCT
fis-1354	165	65	application	application	NOUN
fis-1354	165	66	of	of	ADP
fis-1354	165	67	the	the	DET
fis-1354	165	68	unigrow	unigrow	PROPN
fis-1354	165	69	model	model	NOUN
fis-1354	165	70	together	together	ADV
fis-1354	165	71	with	with	ADP
fis-1354	165	72	the	the	DET
fis-1354	165	73	probabilistic	probabilistic	ADJ
fis-1354	165	74	fatigue	fatigue	NOUN
fis-1354	165	75	damage	damage	NOUN
fis-1354	165	76	models	model	NOUN
fis-1354	165	77	;	;	PUNCT
fis-1354	165	78	3	3	X
fis-1354	165	79	)	)	PUNCT
fis-1354	165	80	computation	computation	NOUN
fis-1354	165	81	of	of	ADP
fis-1354	165	82	the	the	DET
fis-1354	165	83	p	p	NOUN
fis-1354	165	84	-	-	PUNCT
fis-1354	165	85	da	da	ADJ
fis-1354	165	86	/	/	SYM
fis-1354	165	87	dn-k	dn-k	NOUN
fis-1354	165	88	-	-	PUNCT
fis-1354	165	89	r	r	NOUN
fis-1354	165	90	fields	field	NOUN
fis-1354	165	91	.	.	PUNCT
fis-1354	166	1	the	the	DET
fis-1354	166	2	unigrow	unigrow	PROPN
fis-1354	166	3	model	model	NOUN
fis-1354	166	4	was	be	AUX
fis-1354	166	5	implemented	implement	VERB
fis-1354	166	6	in	in	ADP
fis-1354	166	7	a	a	DET
fis-1354	166	8	worksheet	worksheet	NOUN
fis-1354	166	9	,	,	PUNCT
fis-1354	166	10	supported	support	VERB
fis-1354	166	11	on	on	ADP
fis-1354	166	12	vba	vba	PROPN
fis-1354	166	13	programming	programming	NOUN
fis-1354	166	14	,	,	PUNCT
fis-1354	166	15	specifically	specifically	ADV
fis-1354	166	16	developed	develop	VERB
fis-1354	166	17	for	for	ADP
fis-1354	166	18	compact	compact	ADJ
fis-1354	166	19	tension	tension	NOUN
fis-1354	166	20	(	(	PUNCT
fis-1354	166	21	ct	ct	NOUN
fis-1354	166	22	)	)	PUNCT
fis-1354	166	23	specimens	specimen	NOUN
fis-1354	166	24	.	.	PUNCT
fis-1354	167	1	the	the	DET
fis-1354	167	2	input	input	NOUN
fis-1354	167	3	data	datum	NOUN
fis-1354	167	4	are	be	AUX
fis-1354	167	5	the	the	DET
fis-1354	167	6	material	material	ADJ
fis-1354	167	7	properties	property	NOUN
fis-1354	167	8	,	,	PUNCT
fis-1354	167	9	loads	load	NOUN
fis-1354	167	10	,	,	PUNCT
fis-1354	167	11	dimensions	dimension	NOUN
fis-1354	167	12	of	of	ADP
fis-1354	167	13	the	the	DET
fis-1354	167	14	ct	ct	PROPN
fis-1354	167	15	specimen	speciman	NOUN
fis-1354	167	16	,	,	PUNCT
fis-1354	167	17	including	include	VERB
fis-1354	167	18	the	the	DET
fis-1354	167	19	initial	initial	ADJ
fis-1354	167	20	and	and	CCONJ
fis-1354	167	21	final	final	ADJ
fis-1354	167	22	crack	crack	NOUN
fis-1354	167	23	size	size	NOUN
fis-1354	167	24	to	to	PART
fis-1354	167	25	be	be	AUX
fis-1354	167	26	simulated	simulate	VERB
fis-1354	167	27	.	.	PUNCT
fis-1354	168	1	additionally	additionally	ADV
fis-1354	168	2	,	,	PUNCT
fis-1354	168	3	the	the	DET
fis-1354	168	4	elementary	elementary	ADJ
fis-1354	168	5	material	material	NOUN
fis-1354	168	6	block	block	NOUN
fis-1354	168	7	size	size	NOUN
fis-1354	168	8	,	,	PUNCT
fis-1354	168	9	ρ	ρ	PROPN
fis-1354	168	10	*	*	PROPN
fis-1354	168	11	,	,	PUNCT
fis-1354	168	12	is	be	AUX
fis-1354	168	13	required	require	VERB
fis-1354	168	14	.	.	PUNCT
fis-1354	169	1	this	this	DET
fis-1354	169	2	parameter	parameter	NOUN
fis-1354	169	3	may	may	AUX
fis-1354	169	4	be	be	AUX
fis-1354	169	5	evaluated	evaluate	VERB
fis-1354	169	6	by	by	ADP
fis-1354	169	7	a	a	DET
fis-1354	169	8	trial	trial	NOUN
fis-1354	169	9	and	and	CCONJ
fis-1354	169	10	error	error	NOUN
fis-1354	169	11	procedure	procedure	NOUN
fis-1354	169	12	in	in	ADP
fis-1354	169	13	order	order	NOUN
fis-1354	169	14	the	the	DET
fis-1354	169	15	numerical	numerical	ADJ
fis-1354	169	16	results	result	NOUN
fis-1354	169	17	fit	fit	VERB
fis-1354	169	18	satisfactorily	satisfactorily	ADV
fis-1354	169	19	the	the	DET
fis-1354	169	20	t	t	PROPN
fis-1354	169	21	j.a.f.o	j.a.f.o	PROPN
fis-1354	169	22	.	.	PUNCT
fis-1354	170	1	correia	correia	PROPN
fis-1354	170	2	et	et	PROPN
fis-1354	170	3	alii	alii	PROPN
fis-1354	170	4	,	,	PUNCT
fis-1354	170	5	frattura	frattura	PROPN
fis-1354	170	6	ed	ed	PROPN
fis-1354	170	7	integrità	integrità	PROPN
fis-1354	170	8	strutturale	strutturale	PROPN
fis-1354	170	9	,	,	PUNCT
fis-1354	170	10	31	31	NUM
fis-1354	170	11	(	(	PUNCT
fis-1354	170	12	2015	2015	NUM
fis-1354	170	13	)	)	PUNCT
fis-1354	170	14	80	80	NUM
fis-1354	170	15	-	-	SYM
fis-1354	170	16	96	96	NUM
fis-1354	170	17	;	;	PUNCT
fis-1354	170	18	doi	doi	NOUN
fis-1354	170	19	:	:	PUNCT
fis-1354	170	20	10.3221	10.3221	NUM
fis-1354	170	21	/	/	SYM
fis-1354	170	22	igf	igf	PROPN
fis-1354	170	23	-	-	ADJ
fis-1354	170	24	esis.31.07	esis.31.07	ADJ
fis-1354	170	25	86	86	NUM
fis-1354	170	26	experimental	experimental	ADJ
fis-1354	170	27	data	datum	NOUN
fis-1354	170	28	.	.	PUNCT
fis-1354	171	1	fig	fig	NOUN
fis-1354	171	2	.	.	PUNCT
fis-1354	172	1	4	4	NUM
fis-1354	172	2	gives	give	VERB
fis-1354	172	3	a	a	DET
fis-1354	172	4	general	general	ADJ
fis-1354	172	5	overview	overview	NOUN
fis-1354	172	6	of	of	ADP
fis-1354	172	7	the	the	DET
fis-1354	172	8	procedure	procedure	NOUN
fis-1354	172	9	.	.	PUNCT
fis-1354	173	1	the	the	DET
fis-1354	173	2	probabilistic	probabilistic	ADJ
fis-1354	173	3	fatigue	fatigue	NOUN
fis-1354	173	4	crack	crack	NOUN
fis-1354	173	5	propagation	propagation	NOUN
fis-1354	173	6	fields	field	NOUN
fis-1354	173	7	were	be	AUX
fis-1354	173	8	evaluated	evaluate	VERB
fis-1354	173	9	using	use	VERB
fis-1354	173	10	,	,	PUNCT
fis-1354	173	11	alternatively	alternatively	ADV
fis-1354	173	12	,	,	PUNCT
fis-1354	173	13	the	the	DET
fis-1354	173	14	probabilistic	probabilistic	ADJ
fis-1354	173	15	ε	ε	PROPN
fis-1354	173	16	-	-	PUNCT
fis-1354	173	17	n	n	NOUN
fis-1354	173	18	and	and	CCONJ
fis-1354	173	19	swt	swt	PROPN
fis-1354	173	20	-	-	PUNCT
fis-1354	173	21	n	n	NOUN
fis-1354	173	22	fields	field	NOUN
fis-1354	173	23	.	.	PUNCT
fis-1354	174	1	the	the	DET
fis-1354	174	2	residual	residual	ADJ
fis-1354	174	3	stress	stress	NOUN
fis-1354	174	4	fields	field	NOUN
fis-1354	174	5	ahead	ahead	ADV
fis-1354	174	6	of	of	ADP
fis-1354	174	7	the	the	DET
fis-1354	174	8	crack	crack	NOUN
fis-1354	174	9	tip	tip	NOUN
fis-1354	174	10	were	be	AUX
fis-1354	174	11	evaluated	evaluate	VERB
fis-1354	174	12	in	in	ADP
fis-1354	174	13	this	this	DET
fis-1354	174	14	paper	paper	NOUN
fis-1354	174	15	using	use	VERB
fis-1354	174	16	an	an	DET
fis-1354	174	17	elastoplastic	elastoplastic	ADJ
fis-1354	174	18	finite	finite	NOUN
fis-1354	174	19	element	element	NOUN
fis-1354	174	20	model	model	NOUN
fis-1354	174	21	of	of	ADP
fis-1354	174	22	the	the	DET
fis-1354	174	23	ct	ct	PROPN
fis-1354	174	24	specimens	specimen	NOUN
fis-1354	174	25	.	.	PUNCT
fis-1354	175	1	end	end	VERB
fis-1354	175	2	yes	yes	INTJ
fis-1354	175	3	elastic	elastic	ADJ
fis-1354	175	4	 	 	SPACE
fis-1354	175	5	stress	stress	NOUN
fis-1354	175	6	analysis	analysis	NOUN
fis-1354	175	7	creager‐paris	creager‐paris	NOUN
fis-1354	175	8	 	 	SPACE
fis-1354	175	9	solution	solution	NOUN
fis-1354	175	10	elastoplastic	elastoplastic	NOUN
fis-1354	175	11	 	 	SPACE
fis-1354	175	12	stresses	stress	VERB
fis-1354	175	13	 	 	SPACE
fis-1354	175	14	analysis	analysis	NOUN
fis-1354	175	15	neuber	neuber	NOUN
fis-1354	175	16	 	 	SPACE
fis-1354	175	17	or	or	CCONJ
fis-1354	175	18	 	 	SPACE
fis-1354	175	19	glinka	glinka	PROPN
fis-1354	175	20	 	 	SPACE
fis-1354	175	21	approach	approach	NOUN
fis-1354	175	22	elastoplastic	elastoplastic	NOUN
fis-1354	175	23	 	 	SPACE
fis-1354	175	24	stress	stress	NOUN
fis-1354	175	25	  	  	SPACE
fis-1354	175	26	analysis	analysis	NOUN
fis-1354	175	27	  	  	SPACE
fis-1354	175	28	fem	fem	NOUN
fis-1354	175	29	σr=	σr=	PROPN
fis-1354	175	30	 	 	SPACE
fis-1354	175	31	σmax	σmax	NOUN
fis-1354	175	32	 	 	SPACE
fis-1354	175	33	‐	‐	NOUN
fis-1354	175	34	 	 	SPACE
fis-1354	175	35	σ	σ	PROPN
fis-1354	175	36	    	    	SPACE
fis-1354	175	37	kr	kr	PROPN
fis-1354	175	38	 	 	SPACE
fis-1354	175	39	(	(	PUNCT
fis-1354	175	40	weight	weight	NOUN
fis-1354	175	41	 	 	SPACE
fis-1354	175	42	function	function	NOUN
fis-1354	175	43	 	 	SPACE
fis-1354	175	44	method	method	NOUN
fis-1354	175	45	)	)	PUNCT
fis-1354	175	46	    	    	SPACE
fis-1354	175	47	kmax	kmax	PROPN
fis-1354	175	48	,	,	PUNCT
fis-1354	175	49	tot	tot	NOUN
fis-1354	175	50	 	 	SPACE
fis-1354	175	51	and	and	CCONJ
fis-1354	175	52	 	 	SPACE
fis-1354	175	53	ktot	ktot	ADJ
fis-1354	175	54	    	    	SPACE
fis-1354	175	55	σmax	σmax	NOUN
fis-1354	175	56	 	 	SPACE
fis-1354	175	57	and	and	CCONJ
fis-1354	175	58	 	 	SPACE
fis-1354	175	59	ε/2	ε/2	ADV
fis-1354	175	60	  	  	SPACE
fis-1354	175	61	p‐ε‐n	p‐ε‐n	VERB
fis-1354	175	62	weibull	weibull	PROPN
fis-1354	175	63	 	 	SPACE
fis-1354	175	64	field	field	NOUN
fis-1354	175	65	p‐swt‐n	p‐swt‐n	PROPN
fis-1354	175	66	weibull	weibull	NOUN
fis-1354	175	67	 	 	SPACE
fis-1354	175	68	field	field	NOUN
fis-1354	175	69	  	  	SPACE
fis-1354	175	70	ε‐n	ε‐n	NOUN
fis-1354	175	71	 	 	SPACE
fis-1354	175	72	exp	exp	NOUN
fis-1354	175	73	.	.	PUNCT
fis-1354	175	74	 	 	SPACE
fis-1354	175	75	data	data	PROPN
fis-1354	175	76	da	da	PROPN
fis-1354	175	77	/	/	SYM
fis-1354	175	78	dn	dn	NOUN
fis-1354	175	79	=	=	NOUN
fis-1354	175	80	ρ*/nf	ρ*/nf	PROPN
fis-1354	175	81	  	  	SPACE
fis-1354	175	82	p‐da	p‐da	NOUN
fis-1354	175	83	/	/	SYM
fis-1354	175	84	dn‐k‐r	dn‐k‐r	NOUN
fis-1354	175	85	 	 	SPACE
fis-1354	175	86	field	field	NOUN
fis-1354	175	87	  	  	SPACE
fis-1354	175	88	iterate	iterate	NOUN
fis-1354	175	89	 	 	SPACE
fis-1354	175	90	ρ	ρ	PROPN
fis-1354	175	91	*	*	NOUN
fis-1354	175	92	  	  	SPACE
fis-1354	175	93	(	(	PUNCT
fis-1354	175	94	p‐da	p‐da	NOUN
fis-1354	175	95	/	/	SYM
fis-1354	175	96	dn‐k‐r)predicted	dn‐k‐r)predicte	VERB
fis-1354	175	97	 	 	SPACE
fis-1354	175	98	vs.	vs.	NOUN
fis-1354	175	99	 	 	SPACE
fis-1354	175	100	(	(	PUNCT
fis-1354	175	101	da	da	ADJ
fis-1354	175	102	/	/	SYM
fis-1354	175	103	dn‐k‐r)exp	dn‐k‐r)exp	PROPN
fis-1354	175	104	.	.	PUNCT
fis-1354	175	105	    	    	SPACE
fis-1354	175	106	satisfactory	satisfactory	ADJ
fis-1354	175	107	?	?	PUNCT
fis-1354	176	1	no	no	DET
fis-1354	176	2	first	first	ADJ
fis-1354	176	3	 	 	SPACE
fis-1354	176	4	estimate	estimate	NOUN
fis-1354	176	5	 	 	SPACE
fis-1354	176	6	of	of	ADP
fis-1354	176	7	 	 	SPACE
fis-1354	176	8	ρ	ρ	PROPN
fis-1354	176	9	*	*	NOUN
fis-1354	176	10	figure	figure	NOUN
fis-1354	176	11	4	4	NUM
fis-1354	176	12	:	:	PUNCT
fis-1354	176	13	procedure	procedure	NOUN
fis-1354	176	14	to	to	PART
fis-1354	176	15	generate	generate	VERB
fis-1354	176	16	probabilistic	probabilistic	ADJ
fis-1354	176	17	fatigue	fatigue	NOUN
fis-1354	176	18	crack	crack	NOUN
fis-1354	176	19	propagation	propagation	NOUN
fis-1354	176	20	fields	field	NOUN
fis-1354	176	21	.	.	PUNCT
fis-1354	177	1	experimental	experimental	ADJ
fis-1354	177	2	fatigue	fatigue	NOUN
fis-1354	177	3	data	datum	NOUN
fis-1354	177	4	of	of	ADP
fis-1354	177	5	the	the	DET
fis-1354	177	6	s355	s355	PROPN
fis-1354	177	7	mild	mild	ADJ
fis-1354	177	8	steel	steel	NOUN
fis-1354	177	9	he	he	PRON
fis-1354	177	10	fatigue	fatigue	NOUN
fis-1354	177	11	behaviour	behaviour	NOUN
fis-1354	177	12	of	of	ADP
fis-1354	177	13	the	the	DET
fis-1354	177	14	s355	s355	PROPN
fis-1354	177	15	mid	mid	ADJ
fis-1354	177	16	steel	steel	NOUN
fis-1354	177	17	was	be	AUX
fis-1354	177	18	evaluated	evaluate	VERB
fis-1354	177	19	by	by	ADP
fis-1354	177	20	de	de	X
fis-1354	177	21	jesus	jesus	PROPN
fis-1354	177	22	et	et	PROPN
fis-1354	177	23	al	al	PROPN
fis-1354	177	24	.	.	PUNCT
fis-1354	178	1	[	[	X
fis-1354	178	2	19	19	NUM
fis-1354	178	3	]	]	PUNCT
fis-1354	178	4	,	,	PUNCT
fis-1354	178	5	based	base	VERB
fis-1354	178	6	on	on	ADP
fis-1354	178	7	experimental	experimental	ADJ
fis-1354	178	8	results	result	NOUN
fis-1354	178	9	from	from	ADP
fis-1354	178	10	fatigue	fatigue	NOUN
fis-1354	178	11	tests	test	NOUN
fis-1354	178	12	of	of	ADP
fis-1354	178	13	smooth	smooth	ADJ
fis-1354	178	14	specimens	specimen	NOUN
fis-1354	178	15	and	and	CCONJ
fis-1354	178	16	fatigue	fatigue	NOUN
fis-1354	178	17	crack	crack	VERB
fis-1354	178	18	propagation	propagation	NOUN
fis-1354	178	19	tests	test	NOUN
fis-1354	178	20	.	.	PUNCT
fis-1354	179	1	the	the	DET
fis-1354	179	2	fatigue	fatigue	NOUN
fis-1354	179	3	tests	test	NOUN
fis-1354	179	4	of	of	ADP
fis-1354	179	5	smooth	smooth	ADJ
fis-1354	179	6	specimens	specimen	NOUN
fis-1354	179	7	were	be	AUX
fis-1354	179	8	carried	carry	VERB
fis-1354	179	9	out	out	ADP
fis-1354	179	10	according	accord	VERB
fis-1354	179	11	to	to	ADP
fis-1354	179	12	the	the	DET
fis-1354	179	13	astme606	astme606	PROPN
fis-1354	179	14	standard	standard	NOUN
fis-1354	179	15	[	[	X
fis-1354	179	16	29	29	NUM
fis-1354	179	17	]	]	PUNCT
fis-1354	179	18	,	,	PUNCT
fis-1354	179	19	under	under	ADP
fis-1354	179	20	strain	strain	NOUN
fis-1354	179	21	-	-	PUNCT
fis-1354	179	22	controlled	control	VERB
fis-1354	179	23	conditions	condition	NOUN
fis-1354	179	24	.	.	PUNCT
fis-1354	180	1	tab	tab	NOUN
fis-1354	180	2	.	.	PROPN
fis-1354	180	3	1	1	NUM
fis-1354	180	4	and	and	CCONJ
fis-1354	180	5	2	2	NUM
fis-1354	180	6	summarize	summarize	VERB
fis-1354	180	7	the	the	DET
fis-1354	180	8	elastic	elastic	ADJ
fis-1354	180	9	(	(	PUNCT
fis-1354	180	10	e	e	NOUN
fis-1354	180	11	:	:	PUNCT
fis-1354	180	12	young	young	ADJ
fis-1354	180	13	modulus	modulus	NOUN
fis-1354	180	14	)	)	PUNCT
fis-1354	180	15	and	and	CCONJ
fis-1354	180	16	monotonic	monotonic	ADJ
fis-1354	180	17	strength	strength	NOUN
fis-1354	180	18	properties	property	NOUN
fis-1354	180	19	(	(	PUNCT
fis-1354	180	20	fy	fy	NOUN
fis-1354	180	21	:	:	PUNCT
fis-1354	180	22	yield	yield	NOUN
fis-1354	180	23	strength	strength	NOUN
fis-1354	180	24	;	;	PUNCT
fis-1354	180	25	fu	fu	ADJ
fis-1354	180	26	:	:	PUNCT
fis-1354	180	27	tensile	tensile	NOUN
fis-1354	180	28	strength	strength	NOUN
fis-1354	180	29	)	)	PUNCT
fis-1354	180	30	as	as	ADV
fis-1354	180	31	well	well	ADV
fis-1354	180	32	as	as	ADP
fis-1354	180	33	the	the	DET
fis-1354	180	34	cyclic	cyclic	ADJ
fis-1354	180	35	elastoplastic	elastoplastic	ADJ
fis-1354	180	36	constants	constant	NOUN
fis-1354	180	37	(	(	PUNCT
fis-1354	180	38	k	k	NOUN
fis-1354	180	39	’	'	PUNCT
fis-1354	180	40	:	:	PUNCT
fis-1354	180	41	cyclic	cyclic	NOUN
fis-1354	180	42	strain	strain	AUX
fis-1354	180	43	hardening	harden	VERB
fis-1354	180	44	coefficient	coefficient	NOUN
fis-1354	180	45	;	;	PUNCT
fis-1354	180	46	n	n	CCONJ
fis-1354	180	47	’	'	PUNCT
fis-1354	180	48	:	:	PUNCT
fis-1354	180	49	cyclic	cyclic	NOUN
fis-1354	180	50	strain	strain	VERB
fis-1354	180	51	hardening	harden	VERB
fis-1354	180	52	exponent	exponent	NOUN
fis-1354	180	53	)	)	PUNCT
fis-1354	180	54	and	and	CCONJ
fis-1354	180	55	the	the	DET
fis-1354	180	56	strain	strain	NOUN
fis-1354	180	57	-	-	PUNCT
fis-1354	180	58	life	life	NOUN
fis-1354	180	59	constants	constant	NOUN
fis-1354	180	60	(	(	PUNCT
fis-1354	180	61	refer	refer	VERB
fis-1354	180	62	to	to	ADP
fis-1354	180	63	eq	eq	NOUN
fis-1354	180	64	.	.	PUNCT
fis-1354	181	1	(	(	PUNCT
fis-1354	181	2	3)–(5	3)–(5	NOUN
fis-1354	181	3	)	)	PUNCT
fis-1354	181	4	)	)	PUNCT
fis-1354	181	5	.	.	PUNCT
fis-1354	182	1	the	the	DET
fis-1354	182	2	crack	crack	NOUN
fis-1354	182	3	propagation	propagation	NOUN
fis-1354	182	4	tests	test	NOUN
fis-1354	182	5	were	be	AUX
fis-1354	182	6	performed	perform	VERB
fis-1354	182	7	using	use	VERB
fis-1354	182	8	compact	compact	ADJ
fis-1354	182	9	tension	tension	NOUN
fis-1354	182	10	(	(	PUNCT
fis-1354	182	11	ct	ct	NOUN
fis-1354	182	12	)	)	PUNCT
fis-1354	182	13	specimens	specimen	NOUN
fis-1354	182	14	,	,	PUNCT
fis-1354	182	15	according	accord	VERB
fis-1354	182	16	to	to	ADP
fis-1354	182	17	the	the	DET
fis-1354	182	18	procedures	procedure	NOUN
fis-1354	182	19	of	of	ADP
fis-1354	182	20	the	the	DET
fis-1354	182	21	astm	astm	PROPN
fis-1354	182	22	e647	e647	PROPN
fis-1354	182	23	standard	standard	NOUN
fis-1354	182	24	[	[	X
fis-1354	182	25	30	30	NUM
fis-1354	182	26	]	]	PUNCT
fis-1354	182	27	,	,	PUNCT
fis-1354	182	28	under	under	ADP
fis-1354	182	29	load	load	NOUN
fis-1354	182	30	-	-	PUNCT
fis-1354	182	31	controlled	control	VERB
fis-1354	182	32	conditions	condition	NOUN
fis-1354	182	33	.	.	PUNCT
fis-1354	183	1	fig	fig	NOUN
fis-1354	183	2	.	.	PUNCT
fis-1354	184	1	5	5	NUM
fis-1354	184	2	t	t	PROPN
fis-1354	184	3	j.a.f.o	j.a.f.o	PROPN
fis-1354	184	4	.	.	PUNCT
fis-1354	185	1	correia	correia	PROPN
fis-1354	185	2	et	et	PROPN
fis-1354	185	3	alii	alii	PROPN
fis-1354	185	4	,	,	PUNCT
fis-1354	185	5	frattura	frattura	PROPN
fis-1354	185	6	ed	ed	PROPN
fis-1354	185	7	integrità	integrità	PROPN
fis-1354	185	8	strutturale	strutturale	PROPN
fis-1354	185	9	,	,	PUNCT
fis-1354	185	10	31	31	NUM
fis-1354	185	11	(	(	PUNCT
fis-1354	185	12	2015	2015	NUM
fis-1354	185	13	)	)	PUNCT
fis-1354	185	14	80	80	NUM
fis-1354	185	15	-	-	SYM
fis-1354	185	16	96	96	NUM
fis-1354	185	17	;	;	PUNCT
fis-1354	185	18	doi	doi	NOUN
fis-1354	185	19	:	:	PUNCT
fis-1354	186	1	10.3221	10.3221	NUM
fis-1354	186	2	/	/	SYM
fis-1354	186	3	igf	igf	PROPN
fis-1354	186	4	-	-	ADJ
fis-1354	186	5	esis.31.07	esis.31.07	ADJ
fis-1354	186	6	87	87	NUM
fis-1354	186	7	presents	present	VERB
fis-1354	186	8	the	the	DET
fis-1354	186	9	experimental	experimental	ADJ
fis-1354	186	10	fatigue	fatigue	NOUN
fis-1354	186	11	crack	crack	VERB
fis-1354	186	12	propagation	propagation	NOUN
fis-1354	186	13	rates	rate	NOUN
fis-1354	186	14	obtained	obtain	VERB
fis-1354	186	15	for	for	ADP
fis-1354	186	16	the	the	DET
fis-1354	186	17	s355	s355	PROPN
fis-1354	186	18	steel	steel	NOUN
fis-1354	186	19	,	,	PUNCT
fis-1354	186	20	where	where	SCONJ
fis-1354	186	21	stress	stress	NOUN
fis-1354	186	22	ratio	ratio	NOUN
fis-1354	186	23	effects	effect	NOUN
fis-1354	186	24	on	on	ADP
fis-1354	186	25	fatigue	fatigue	NOUN
fis-1354	186	26	crack	crack	NOUN
fis-1354	186	27	propagation	propagation	NOUN
fis-1354	186	28	rates	rate	NOUN
fis-1354	186	29	are	be	AUX
fis-1354	186	30	shown	show	VERB
fis-1354	186	31	.	.	PUNCT
fis-1354	187	1	an	an	DET
fis-1354	187	2	increase	increase	NOUN
fis-1354	187	3	in	in	ADP
fis-1354	187	4	fatigue	fatigue	NOUN
fis-1354	187	5	crack	crack	NOUN
fis-1354	187	6	propagation	propagation	NOUN
fis-1354	187	7	rates	rate	NOUN
fis-1354	187	8	is	be	AUX
fis-1354	187	9	clear	clear	ADJ
fis-1354	187	10	,	,	PUNCT
fis-1354	187	11	when	when	SCONJ
fis-1354	187	12	the	the	DET
fis-1354	187	13	stress	stress	NOUN
fis-1354	187	14	ratio	ratio	NOUN
fis-1354	187	15	changes	change	NOUN
fis-1354	187	16	from	from	ADP
fis-1354	187	17	0	0	NUM
fis-1354	187	18	to	to	ADP
fis-1354	187	19	any	any	DET
fis-1354	187	20	positive	positive	ADJ
fis-1354	187	21	stress	stress	NOUN
fis-1354	187	22	ratios	ratio	NOUN
fis-1354	187	23	considered	consider	VERB
fis-1354	187	24	in	in	ADP
fis-1354	187	25	the	the	DET
fis-1354	187	26	experimental	experimental	ADJ
fis-1354	187	27	program	program	NOUN
fis-1354	187	28	.	.	PUNCT
fis-1354	188	1	also	also	ADV
fis-1354	188	2	,	,	PUNCT
fis-1354	188	3	it	it	PRON
fis-1354	188	4	is	be	AUX
fis-1354	188	5	clear	clear	ADJ
fis-1354	188	6	that	that	SCONJ
fis-1354	188	7	all	all	DET
fis-1354	188	8	the	the	DET
fis-1354	188	9	positive	positive	ADJ
fis-1354	188	10	stress	stress	NOUN
fis-1354	188	11	ratios	ratio	NOUN
fis-1354	188	12	resulted	result	VERB
fis-1354	188	13	in	in	ADP
fis-1354	188	14	similar	similar	ADJ
fis-1354	188	15	crack	crack	NOUN
fis-1354	188	16	propagation	propagation	NOUN
fis-1354	188	17	rates	rate	NOUN
fis-1354	188	18	.	.	PUNCT
fis-1354	189	1	this	this	DET
fis-1354	189	2	behaviour	behaviour	NOUN
fis-1354	189	3	is	be	AUX
fis-1354	189	4	consistent	consistent	ADJ
fis-1354	189	5	with	with	ADP
fis-1354	189	6	a	a	DET
fis-1354	189	7	crack	crack	NOUN
fis-1354	189	8	closure	closure	NOUN
fis-1354	189	9	effect	effect	NOUN
fis-1354	189	10	that	that	PRON
fis-1354	189	11	occurs	occur	VERB
fis-1354	189	12	between	between	ADP
fis-1354	189	13	rσ=0.0	rσ=0.0	NOUN
fis-1354	189	14	and	and	CCONJ
fis-1354	189	15	rσ=0.25	rσ=0.25	NOUN
fis-1354	189	16	.	.	PUNCT
fis-1354	190	1	for	for	ADP
fis-1354	190	2	rσ=0.0	rσ=0.0	NOUN
fis-1354	190	3	there	there	PRON
fis-1354	190	4	is	be	VERB
fis-1354	190	5	some	some	DET
fis-1354	190	6	crack	crack	NOUN
fis-1354	190	7	closure	closure	NOUN
fis-1354	190	8	,	,	PUNCT
fis-1354	190	9	the	the	DET
fis-1354	190	10	applied	apply	VERB
fis-1354	190	11	stress	stress	NOUN
fis-1354	190	12	intensity	intensity	NOUN
fis-1354	190	13	factor	factor	NOUN
fis-1354	190	14	range	range	NOUN
fis-1354	190	15	being	be	AUX
fis-1354	190	16	not	not	PART
fis-1354	190	17	fully	fully	ADV
fis-1354	190	18	effective	effective	ADJ
fis-1354	190	19	.	.	PUNCT
fis-1354	191	1	for	for	ADP
fis-1354	191	2	rσ=0.25	rσ=0.25	NOUN
fis-1354	191	3	and	and	CCONJ
fis-1354	191	4	higher	high	ADJ
fis-1354	191	5	,	,	PUNCT
fis-1354	191	6	there	there	PRON
fis-1354	191	7	is	be	VERB
fis-1354	191	8	no	no	DET
fis-1354	191	9	crack	crack	NOUN
fis-1354	191	10	closure	closure	NOUN
fis-1354	191	11	,	,	PUNCT
fis-1354	191	12	the	the	DET
fis-1354	191	13	applied	apply	VERB
fis-1354	191	14	stress	stress	NOUN
fis-1354	191	15	intensity	intensity	NOUN
fis-1354	191	16	factor	factor	NOUN
fis-1354	191	17	range	range	NOUN
fis-1354	191	18	being	be	AUX
fis-1354	191	19	fully	fully	ADV
fis-1354	191	20	effective	effective	ADJ
fis-1354	191	21	.	.	PUNCT
fis-1354	192	1	details	detail	NOUN
fis-1354	192	2	about	about	ADP
fis-1354	192	3	the	the	DET
fis-1354	192	4	properties	property	NOUN
fis-1354	192	5	evaluation	evaluation	NOUN
fis-1354	192	6	for	for	ADP
fis-1354	192	7	the	the	DET
fis-1354	192	8	s355	s355	PROPN
fis-1354	192	9	steel	steel	NOUN
fis-1354	192	10	can	can	AUX
fis-1354	192	11	be	be	AUX
fis-1354	192	12	found	find	VERB
fis-1354	192	13	in	in	ADP
fis-1354	192	14	reference	reference	NOUN
fis-1354	192	15	[	[	X
fis-1354	192	16	19	19	NUM
fis-1354	192	17	]	]	PUNCT
fis-1354	192	18	.	.	PUNCT
fis-1354	193	1	e	e	X
fis-1354	193	2	[	[	X
fis-1354	193	3	gpa	gpa	PROPN
fis-1354	193	4	]	]	X
fis-1354	193	5	fu	fu	NOUN
fis-1354	194	1	[	[	X
fis-1354	194	2	mpa	mpa	X
fis-1354	194	3	]	]	X
fis-1354	194	4	fy	fy	PROPN
fis-1354	195	1	[	[	X
fis-1354	195	2	mpa	mpa	X
fis-1354	195	3	]	]	X
fis-1354	195	4	k	k	NOUN
fis-1354	195	5	’	'	PUNCT
fis-1354	195	6	[	[	X
fis-1354	195	7	mpa	mpa	X
fis-1354	195	8	]	]	X
fis-1354	195	9	n	n	CCONJ
fis-1354	195	10	’	'	PUNCT
fis-1354	195	11	211.60	211.60	NUM
fis-1354	195	12	744.80	744.80	NUM
fis-1354	195	13	422.00	422.00	NUM
fis-1354	195	14	595.85	595.85	NUM
fis-1354	195	15	0.0757	0.0757	NUM
fis-1354	195	16	table	table	NOUN
fis-1354	195	17	1	1	NUM
fis-1354	195	18	:	:	PUNCT
fis-1354	195	19	monotonic	monotonic	ADJ
fis-1354	195	20	and	and	CCONJ
fis-1354	195	21	cyclic	cyclic	ADJ
fis-1354	195	22	elastoplastic	elastoplastic	ADJ
fis-1354	195	23	properties	property	NOUN
fis-1354	195	24	of	of	ADP
fis-1354	195	25	the	the	DET
fis-1354	195	26	s355	s355	PROPN
fis-1354	195	27	mid	mid	ADJ
fis-1354	195	28	steel	steel	NOUN
fis-1354	195	29	.	.	PUNCT
fis-1354	196	1	’f	’f	PROPN
fis-1354	197	1	[	[	X
fis-1354	197	2	mpa	mpa	X
fis-1354	197	3	]	]	X
fis-1354	197	4	b	b	X
fis-1354	197	5	’f	’f	PROPN
fis-1354	197	6	c	c	PROPN
fis-1354	197	7	952.20	952.20	NUM
fis-1354	197	8	-0.0890	-0.0890	NOUN
fis-1354	197	9	0.7371	0.7371	NUM
fis-1354	197	10	-06640	-06640	PROPN
fis-1354	197	11	table	table	NOUN
fis-1354	197	12	2	2	NUM
fis-1354	197	13	:	:	PUNCT
fis-1354	197	14	morrow	morrow	NOUN
fis-1354	197	15	constants	constant	NOUN
fis-1354	197	16	of	of	ADP
fis-1354	197	17	the	the	DET
fis-1354	197	18	s355	s355	PROPN
fis-1354	197	19	mid	mid	ADJ
fis-1354	197	20	steel	steel	NOUN
fis-1354	197	21	.	.	PUNCT
fis-1354	197	22			PUNCT
fis-1354	198	1	k	k	X
fis-1354	198	2	 	 	SPACE
fis-1354	199	1	[	[	X
fis-1354	199	2	n.mm‐1.5	n.mm‐1.5	X
fis-1354	199	3	]	]	X
fis-1354	199	4	da	da	X
fis-1354	199	5	/d	/d	PUNCT
fis-1354	199	6	n	n	NOUN
fis-1354	199	7	 	 	SPACE
fis-1354	199	8	[	[	PUNCT
fis-1354	199	9	m	m	VERB
fis-1354	199	10	m	m	VERB
fis-1354	199	11	/c	/c	PUNCT
fis-1354	200	1	yc	yc	X
fis-1354	200	2	le	le	X
fis-1354	200	3	]	]	PUNCT
fis-1354	200	4	p‐00‐01	p‐00‐01	X
fis-1354	200	5	 	 	SPACE
fis-1354	200	6	(	(	PUNCT
fis-1354	200	7	r=0.0	r=0.0	NOUN
fis-1354	200	8	)	)	PUNCT
fis-1354	200	9	p‐00‐03	p‐00‐03	PROPN
fis-1354	200	10	 	 	SPACE
fis-1354	200	11	(	(	PUNCT
fis-1354	200	12	r=0.0	r=0.0	NOUN
fis-1354	200	13	)	)	PUNCT
fis-1354	200	14	p‐25‐01	p‐25‐01	PROPN
fis-1354	200	15	 	 	SPACE
fis-1354	200	16	(	(	PUNCT
fis-1354	200	17	r=0.25	r=0.25	NOUN
fis-1354	200	18	)	)	PUNCT
fis-1354	200	19	p‐25‐02	p‐25‐02	PROPN
fis-1354	200	20	 	 	SPACE
fis-1354	200	21	(	(	PUNCT
fis-1354	200	22	r=0.25	r=0.25	NOUN
fis-1354	200	23	)	)	PUNCT
fis-1354	201	1	p‐05‐01	p‐05‐01	NOUN
fis-1354	201	2	 	 	SPACE
fis-1354	201	3	(	(	PUNCT
fis-1354	201	4	r=0.5	r=0.5	NOUN
fis-1354	201	5	)	)	PUNCT
fis-1354	201	6	p‐05‐02	p‐05‐02	PROPN
fis-1354	201	7	 	 	SPACE
fis-1354	201	8	(	(	PUNCT
fis-1354	201	9	r=0.5	r=0.5	NOUN
fis-1354	201	10	)	)	PUNCT
fis-1354	201	11	1.0e‐6	1.0e‐6	NUM
fis-1354	201	12	1.0e‐4	1.0e‐4	NUM
fis-1354	201	13	400	400	NUM
fis-1354	201	14	500	500	NUM
fis-1354	201	15	1500	1500	NUM
fis-1354	201	16	1.0e‐5	1.0e‐5	NUM
fis-1354	201	17	1.0e‐3	1.0e‐3	NUM
fis-1354	201	18	1000	1000	NUM
fis-1354	201	19	1.0e‐2	1.0e‐2	NUM
fis-1354	201	20	figure	figure	NOUN
fis-1354	201	21	5	5	NUM
fis-1354	201	22	:	:	PUNCT
fis-1354	201	23	experimental	experimental	ADJ
fis-1354	201	24	fatigue	fatigue	NOUN
fis-1354	201	25	crack	crack	VERB
fis-1354	201	26	propagation	propagation	NOUN
fis-1354	201	27	data	datum	NOUN
fis-1354	201	28	of	of	ADP
fis-1354	201	29	the	the	DET
fis-1354	201	30	s355	s355	PROPN
fis-1354	201	31	steel	steel	NOUN
fis-1354	201	32	for	for	ADP
fis-1354	201	33	distinct	distinct	ADJ
fis-1354	201	34	stress	stress	NOUN
fis-1354	201	35	ratios	ratio	NOUN
fis-1354	201	36	:	:	PUNCT
fis-1354	201	37	experimental	experimental	ADJ
fis-1354	201	38	results	result	NOUN
fis-1354	201	39	.	.	PUNCT
fis-1354	202	1	1.0e‐04	1.0e‐04	PRON
fis-1354	203	1	1.0e‐03	1.0e‐03	NOUN
fis-1354	203	2	1.0e‐02	1.0e‐02	NUM
fis-1354	204	1	1.0e‐01	1.0e‐01	NUM
fis-1354	204	2	1.0e+01	1.0e+01	NUM
fis-1354	205	1	1.0e+02	1.0e+02	DET
fis-1354	205	2	1.0e+03	1.0e+03	NUM
fis-1354	205	3	1.0e+04	1.0e+04	NUM
fis-1354	205	4	1.0e+05	1.0e+05	NUM
fis-1354	205	5	1.0e+06	1.0e+06	NUM
fis-1354	205	6	1.0e+0	1.0e+0	NOUN
fis-1354	205	7	cycles	cycle	NOUN
fis-1354	205	8	 	 	SPACE
fis-1354	205	9	to	to	ADP
fis-1354	205	10	 	 	SPACE
fis-1354	205	11	failure	failure	NOUN
fis-1354	205	12	,	,	PUNCT
fis-1354	205	13	 	 	SPACE
fis-1354	205	14	n	n	PRON
fis-1354	205	15	f	f	PROPN
fis-1354	205	16			X
fis-1354	205	17	/2	/2	PROPN
fis-1354	205	18	 	 	SPACE
fis-1354	205	19	[	[	PUNCT
fis-1354	205	20	‐	‐	X
fis-1354	205	21	]	]	PUNCT
fis-1354	205	22	p=1	p=1	NOUN
fis-1354	205	23	%	%	NOUN
fis-1354	205	24	p=5	p=5	NOUN
fis-1354	205	25	%	%	NOUN
fis-1354	205	26	p=50	p=50	ADJ
fis-1354	205	27	%	%	NOUN
fis-1354	205	28	p=95	p=95	NOUN
fis-1354	205	29	%	%	NOUN
fis-1354	205	30	p=99	p=99	ADJ
fis-1354	205	31	%	%	NOUN
fis-1354	205	32	experimental	experimental	ADJ
fis-1354	205	33	 	 	SPACE
fis-1354	205	34	data	datum	NOUN
fis-1354	205	35	postulated	postulate	VERB
fis-1354	205	36	 	 	SPACE
fis-1354	205	37	data	datum	NOUN
fis-1354	205	38	b	b	NOUN
fis-1354	205	39	 	 	SPACE
fis-1354	205	40	=	=	NOUN
fis-1354	205	41	 	 	SPACE
fis-1354	205	42	‐3.2593	‐3.2593	NOUN
fis-1354	205	43	c	c	NOUN
fis-1354	205	44	 	 	SPACE
fis-1354	205	45	=	=	NOUN
fis-1354	205	46	 	 	SPACE
fis-1354	205	47	‐9.1053	‐9.1053	ADJ
fis-1354	205	48	β	β	NOUN
fis-1354	205	49	 	 	SPACE
fis-1354	205	50	=	=	NOUN
fis-1354	205	51	 	 	SPACE
fis-1354	205	52	4.6952	4.6952	NUM
fis-1354	205	53	λ	λ	NOUN
fis-1354	205	54	 	 	SPACE
fis-1354	205	55	=	=	NOUN
fis-1354	205	56	 	 	SPACE
fis-1354	205	57	36.6676	36.6676	NUM
fis-1354	205	58			NUM
fis-1354	205	59	 	 	SPACE
fis-1354	205	60	=	=	NOUN
fis-1354	205	61	 	 	SPACE
fis-1354	205	62	5.8941	5.8941	NUM
fis-1354	205	63	0.1	0.1	NUM
fis-1354	205	64	1	1	NUM
fis-1354	205	65	10	10	NUM
fis-1354	205	66	100	100	NUM
fis-1354	205	67	1.0e+01	1.0e+01	NUM
fis-1354	205	68	1.0e+02	1.0e+02	PRON
fis-1354	205	69	1.0e+03	1.0e+03	NUM
fis-1354	205	70	1.0e+04	1.0e+04	NUM
fis-1354	205	71	1.0e+05	1.0e+05	NUM
fis-1354	205	72	1.0e+06	1.0e+06	NUM
fis-1354	205	73	1.0e+0	1.0e+0	NOUN
fis-1354	205	74	cycles	cycle	NOUN
fis-1354	205	75	 	 	SPACE
fis-1354	205	76	to	to	ADP
fis-1354	205	77	 	 	SPACE
fis-1354	205	78	failure	failure	NOUN
fis-1354	205	79	,	,	PUNCT
fis-1354	205	80	 	 	SPACE
fis-1354	205	81	n	n	PRON
fis-1354	205	82	f	f	PROPN
fis-1354	205	83	sw	sw	PROPN
fis-1354	205	84	t	t	PROPN
fis-1354	205	85	 	 	SPACE
fis-1354	205	86	[	[	PUNCT
fis-1354	205	87	m	m	VERB
fis-1354	205	88	p	p	NOUN
fis-1354	205	89	a	a	X
fis-1354	205	90	]	]	X
fis-1354	205	91	p=1	p=1	NOUN
fis-1354	205	92	%	%	NOUN
fis-1354	205	93	p=5	p=5	NOUN
fis-1354	205	94	%	%	NOUN
fis-1354	205	95	  	  	SPACE
fis-1354	205	96	p=50	p=50	ADJ
fis-1354	205	97	%	%	NOUN
fis-1354	205	98	p=95	p=95	NOUN
fis-1354	205	99	%	%	NOUN
fis-1354	205	100	p=99	p=99	ADJ
fis-1354	205	101	%	%	NOUN
fis-1354	205	102	experimental	experimental	ADJ
fis-1354	205	103	 	 	SPACE
fis-1354	205	104	data	datum	NOUN
fis-1354	205	105	postulated	postulate	VERB
fis-1354	205	106	 	 	SPACE
fis-1354	205	107	data	datum	NOUN
fis-1354	205	108	b	b	NOUN
fis-1354	205	109	 	 	SPACE
fis-1354	205	110	=	=	NOUN
fis-1354	205	111	 	 	SPACE
fis-1354	205	112	‐4.1079	‐4.1079	PROPN
fis-1354	205	113	c	c	NOUN
fis-1354	205	114	 	 	SPACE
fis-1354	205	115	=	=	NOUN
fis-1354	205	116	 	 	SPACE
fis-1354	205	117	‐4.4317	‐4.4317	VERB
fis-1354	205	118	β	β	PRON
fis-1354	205	119	 	 	SPACE
fis-1354	205	120	=	=	NOUN
fis-1354	205	121	 	 	SPACE
fis-1354	205	122	3.6226	3.6226	NUM
fis-1354	205	123	λ	λ	NOUN
fis-1354	205	124	 	 	SPACE
fis-1354	205	125	=	=	NOUN
fis-1354	205	126	 	 	SPACE
fis-1354	205	127	53.8423	53.8423	NUM
fis-1354	205	128			NUM
fis-1354	205	129	=	=	NOUN
fis-1354	205	130	 	 	SPACE
fis-1354	205	131	7.2698	7.2698	NUM
fis-1354	205	132	figure	figure	NOUN
fis-1354	205	133	6	6	NUM
fis-1354	205	134	:	:	PUNCT
fis-1354	205	135	p	p	X
fis-1354	205	136	-	-	PUNCT
fis-1354	205	137	ε	ε	VERB
fis-1354	205	138	-	-	PUNCT
fis-1354	205	139	n	n	PRON
fis-1354	205	140	field	field	NOUN
fis-1354	205	141	for	for	ADP
fis-1354	205	142	the	the	DET
fis-1354	205	143	s355	s355	PROPN
fis-1354	205	144	steel	steel	NOUN
fis-1354	205	145	.	.	PUNCT
fis-1354	206	1	figure	figure	VERB
fis-1354	206	2	7	7	NUM
fis-1354	206	3	:	:	PUNCT
fis-1354	206	4	p	p	PROPN
fis-1354	206	5	-	-	PUNCT
fis-1354	206	6	swt	swt	VERB
fis-1354	206	7	-	-	PUNCT
fis-1354	206	8	n	n	NOUN
fis-1354	206	9	field	field	NOUN
fis-1354	206	10	for	for	ADP
fis-1354	206	11	the	the	DET
fis-1354	206	12	s355	s355	PROPN
fis-1354	206	13	steel	steel	NOUN
fis-1354	206	14	.	.	PUNCT
fis-1354	207	1	the	the	DET
fis-1354	207	2	p	p	PROPN
fis-1354	207	3	-	-	PUNCT
fis-1354	207	4	ε	ε	VERB
fis-1354	207	5	-	-	PUNCT
fis-1354	207	6	n	n	NOUN
fis-1354	207	7	and	and	CCONJ
fis-1354	207	8	p	p	PROPN
fis-1354	207	9	-	-	PUNCT
fis-1354	207	10	swt	swt	VERB
fis-1354	207	11	-	-	PUNCT
fis-1354	207	12	n	n	NOUN
fis-1354	207	13	fields	field	NOUN
fis-1354	207	14	of	of	ADP
fis-1354	207	15	the	the	DET
fis-1354	207	16	s355	s355	PROPN
fis-1354	207	17	steel	steel	NOUN
fis-1354	207	18	are	be	AUX
fis-1354	207	19	presented	present	VERB
fis-1354	207	20	in	in	ADP
fis-1354	207	21	figs	fig	NOUN
fis-1354	207	22	.	.	PUNCT
fis-1354	208	1	6	6	NUM
fis-1354	208	2	and	and	CCONJ
fis-1354	208	3	7	7	NUM
fis-1354	208	4	,	,	PUNCT
fis-1354	208	5	respectively	respectively	ADV
fis-1354	208	6	.	.	PUNCT
fis-1354	209	1	the	the	DET
fis-1354	209	2	constants	constant	NOUN
fis-1354	209	3	of	of	ADP
fis-1354	209	4	the	the	DET
fis-1354	209	5	weibull	weibull	PROPN
fis-1354	209	6	fields	field	NOUN
fis-1354	209	7	are	be	AUX
fis-1354	209	8	also	also	ADV
fis-1354	209	9	referred	refer	VERB
fis-1354	209	10	in	in	ADP
fis-1354	209	11	the	the	DET
fis-1354	209	12	figures	figure	NOUN
fis-1354	209	13	.	.	PUNCT
fis-1354	210	1	the	the	DET
fis-1354	210	2	extrapolations	extrapolation	NOUN
fis-1354	210	3	using	use	VERB
fis-1354	210	4	the	the	DET
fis-1354	210	5	weibull	weibull	NOUN
fis-1354	210	6	field	field	NOUN
fis-1354	210	7	should	should	AUX
fis-1354	210	8	be	be	AUX
fis-1354	210	9	avoided	avoid	VERB
fis-1354	210	10	for	for	ADP
fis-1354	210	11	highand	highand	ADJ
fis-1354	210	12	low	low	ADJ
fis-1354	210	13	-	-	PUNCT
fis-1354	210	14	cycle	cycle	NOUN
fis-1354	210	15	fatigue	fatigue	NOUN
fis-1354	210	16	lives	live	VERB
fis-1354	210	17	.	.	PUNCT
fis-1354	211	1	since	since	SCONJ
fis-1354	211	2	the	the	DET
fis-1354	211	3	number	number	NOUN
fis-1354	211	4	of	of	ADP
fis-1354	211	5	cycles	cycle	NOUN
fis-1354	211	6	to	to	PART
fis-1354	211	7	fail	fail	VERB
fis-1354	211	8	the	the	DET
fis-1354	211	9	representative	representative	ADJ
fis-1354	211	10	volume	volume	NOUN
fis-1354	211	11	element	element	NOUN
fis-1354	211	12	,	,	PUNCT
fis-1354	211	13	in	in	ADP
fis-1354	211	14	the	the	DET
fis-1354	211	15	crack	crack	NOUN
fis-1354	211	16	propagation	propagation	NOUN
fis-1354	211	17	regime	regime	NOUN
fis-1354	211	18	,	,	PUNCT
fis-1354	211	19	may	may	PROPN
fis-1354	211	20	j.a.f.o	j.a.f.o	PROPN
fis-1354	211	21	.	.	PUNCT
fis-1354	212	1	correia	correia	PROPN
fis-1354	212	2	et	et	PROPN
fis-1354	212	3	alii	alii	PROPN
fis-1354	212	4	,	,	PUNCT
fis-1354	212	5	frattura	frattura	PROPN
fis-1354	212	6	ed	ed	PROPN
fis-1354	212	7	integrità	integrità	PROPN
fis-1354	212	8	strutturale	strutturale	PROPN
fis-1354	212	9	,	,	PUNCT
fis-1354	212	10	31	31	NUM
fis-1354	212	11	(	(	PUNCT
fis-1354	212	12	2015	2015	NUM
fis-1354	212	13	)	)	PUNCT
fis-1354	212	14	80	80	NUM
fis-1354	212	15	-	-	SYM
fis-1354	212	16	96	96	NUM
fis-1354	212	17	;	;	PUNCT
fis-1354	212	18	doi	doi	NOUN
fis-1354	212	19	:	:	PUNCT
fis-1354	212	20	10.3221	10.3221	NUM
fis-1354	212	21	/	/	SYM
fis-1354	212	22	igf	igf	PROPN
fis-1354	212	23	-	-	PUNCT
fis-1354	212	24	esis.31.07	esis.31.07	PROPN
fis-1354	212	25	88	88	NUM
fis-1354	212	26	be	be	AUX
fis-1354	212	27	low	low	ADJ
fis-1354	212	28	,	,	PUNCT
fis-1354	212	29	it	it	PRON
fis-1354	212	30	was	be	AUX
fis-1354	212	31	decided	decide	VERB
fis-1354	212	32	to	to	PART
fis-1354	212	33	postulate	postulate	VERB
fis-1354	212	34	some	some	DET
fis-1354	212	35	fatigue	fatigue	NOUN
fis-1354	212	36	data	datum	NOUN
fis-1354	212	37	at	at	ADP
fis-1354	212	38	the	the	DET
fis-1354	212	39	lowto	lowto	NOUN
fis-1354	212	40	very	very	ADV
fis-1354	212	41	low	low	ADJ
fis-1354	212	42	-	-	PUNCT
fis-1354	212	43	cycle	cycle	NOUN
fis-1354	212	44	fatigue	fatigue	NOUN
fis-1354	212	45	domain	domain	NOUN
fis-1354	212	46	,	,	PUNCT
fis-1354	212	47	using	use	VERB
fis-1354	212	48	the	the	DET
fis-1354	212	49	morrow	morrow	NOUN
fis-1354	212	50	equation	equation	NOUN
fis-1354	212	51	of	of	ADP
fis-1354	212	52	the	the	DET
fis-1354	212	53	material	material	NOUN
fis-1354	212	54	,	,	PUNCT
fis-1354	212	55	for	for	ADP
fis-1354	212	56	that	that	DET
fis-1354	212	57	purpose	purpose	NOUN
fis-1354	212	58	.	.	PUNCT
fis-1354	213	1	the	the	DET
fis-1354	213	2	morrow	morrow	NOUN
fis-1354	213	3	equation	equation	NOUN
fis-1354	213	4	is	be	AUX
fis-1354	213	5	more	more	ADV
fis-1354	213	6	reliable	reliable	ADJ
fis-1354	213	7	to	to	PART
fis-1354	213	8	perform	perform	VERB
fis-1354	213	9	extrapolations	extrapolation	NOUN
fis-1354	213	10	for	for	ADP
fis-1354	213	11	very	very	ADV
fis-1354	213	12	low	low	ADJ
fis-1354	213	13	number	number	NOUN
fis-1354	213	14	of	of	ADP
fis-1354	213	15	cycles	cycle	NOUN
fis-1354	213	16	than	than	ADP
fis-1354	213	17	the	the	DET
fis-1354	213	18	weibull	weibull	PROPN
fis-1354	213	19	field	field	NOUN
fis-1354	213	20	since	since	SCONJ
fis-1354	213	21	the	the	DET
fis-1354	213	22	weibull	weibull	PROPN
fis-1354	213	23	field	field	NOUN
fis-1354	213	24	shows	show	VERB
fis-1354	213	25	an	an	DET
fis-1354	213	26	abnormal	abnormal	ADJ
fis-1354	213	27	asymptotic	asymptotic	ADJ
fis-1354	213	28	behaviour	behaviour	NOUN
fis-1354	213	29	for	for	ADP
fis-1354	213	30	very	very	ADV
fis-1354	213	31	lowcycle	lowcycle	NOUN
fis-1354	213	32	fatigue	fatigue	NOUN
fis-1354	213	33	.	.	PUNCT
fis-1354	214	1	probabilistic	probabilistic	ADJ
fis-1354	214	2	fatigue	fatigue	NOUN
fis-1354	214	3	crack	crack	VERB
fis-1354	214	4	propagation	propagation	NOUN
fis-1354	214	5	rates	rate	NOUN
fis-1354	214	6	predictions	prediction	NOUN
fis-1354	214	7	he	he	PRON
fis-1354	214	8	probabilistic	probabilistic	VERB
fis-1354	214	9	fatigue	fatigue	NOUN
fis-1354	214	10	crack	crack	NOUN
fis-1354	214	11	propagation	propagation	NOUN
fis-1354	214	12	rates	rate	NOUN
fis-1354	214	13	predictions	prediction	NOUN
fis-1354	214	14	were	be	AUX
fis-1354	214	15	based	base	VERB
fis-1354	214	16	on	on	ADP
fis-1354	214	17	the	the	DET
fis-1354	214	18	application	application	NOUN
fis-1354	214	19	of	of	ADP
fis-1354	214	20	the	the	DET
fis-1354	214	21	unigrow	unigrow	PROPN
fis-1354	214	22	model	model	NOUN
fis-1354	214	23	to	to	ADP
fis-1354	214	24	the	the	DET
fis-1354	214	25	ct	ct	PROPN
fis-1354	214	26	specimens	specimen	NOUN
fis-1354	214	27	.	.	PUNCT
fis-1354	215	1	the	the	DET
fis-1354	215	2	elementary	elementary	ADJ
fis-1354	215	3	material	material	PROPN
fis-1354	215	4	block	block	NOUN
fis-1354	215	5	size	size	NOUN
fis-1354	215	6	,	,	PUNCT
fis-1354	215	7	ρ	ρ	PROPN
fis-1354	215	8	*	*	PROPN
fis-1354	215	9	,	,	PUNCT
fis-1354	215	10	is	be	AUX
fis-1354	215	11	required	require	VERB
fis-1354	215	12	.	.	PUNCT
fis-1354	216	1	a	a	DET
fis-1354	216	2	trial	trial	NOUN
fis-1354	216	3	and	and	CCONJ
fis-1354	216	4	error	error	NOUN
fis-1354	216	5	procedure	procedure	NOUN
fis-1354	216	6	was	be	AUX
fis-1354	216	7	adopted	adopt	VERB
fis-1354	216	8	in	in	ADP
fis-1354	216	9	order	order	NOUN
fis-1354	216	10	to	to	PART
fis-1354	216	11	result	result	VERB
fis-1354	216	12	a	a	DET
fis-1354	216	13	good	good	ADJ
fis-1354	216	14	agreement	agreement	NOUN
fis-1354	216	15	between	between	ADP
fis-1354	216	16	the	the	DET
fis-1354	216	17	numerical	numerical	ADJ
fis-1354	216	18	and	and	CCONJ
fis-1354	216	19	experimental	experimental	ADJ
fis-1354	216	20	da	da	PROPN
fis-1354	216	21	/	/	SYM
fis-1354	216	22	dn	dn	NOUN
fis-1354	216	23	vs.	vs.	X
fis-1354	216	24	k	k	NOUN
fis-1354	216	25	data	datum	NOUN
fis-1354	216	26	,	,	PUNCT
fis-1354	216	27	for	for	ADP
fis-1354	216	28	the	the	DET
fis-1354	216	29	materials	material	NOUN
fis-1354	216	30	under	under	ADP
fis-1354	216	31	consideration	consideration	NOUN
fis-1354	216	32	(	(	PUNCT
fis-1354	216	33	see	see	VERB
fis-1354	216	34	fig	fig	NOUN
fis-1354	216	35	.	.	PUNCT
fis-1354	217	1	4	4	NUM
fis-1354	217	2	)	)	PUNCT
fis-1354	217	3	.	.	PUNCT
fis-1354	218	1	the	the	DET
fis-1354	218	2	probabilistic	probabilistic	ADJ
fis-1354	218	3	fatigue	fatigue	NOUN
fis-1354	218	4	crack	crack	NOUN
fis-1354	218	5	propagation	propagation	NOUN
fis-1354	218	6	fields	field	NOUN
fis-1354	218	7	were	be	AUX
fis-1354	218	8	evaluated	evaluate	VERB
fis-1354	218	9	using	use	VERB
fis-1354	218	10	both	both	CCONJ
fis-1354	218	11	the	the	DET
fis-1354	218	12	probabilistic	probabilistic	ADJ
fis-1354	218	13	εa	εa	NOUN
fis-1354	218	14	-	-	PUNCT
fis-1354	218	15	n	n	NOUN
fis-1354	218	16	and	and	CCONJ
fis-1354	218	17	swt	swt	PROPN
fis-1354	218	18	-	-	PUNCT
fis-1354	218	19	n	n	NOUN
fis-1354	218	20	fields	field	NOUN
fis-1354	218	21	,	,	PUNCT
fis-1354	218	22	for	for	ADP
fis-1354	218	23	comparison	comparison	NOUN
fis-1354	218	24	purposes	purpose	NOUN
fis-1354	218	25	.	.	PUNCT
fis-1354	219	1	the	the	DET
fis-1354	219	2	procedure	procedure	NOUN
fis-1354	219	3	to	to	PART
fis-1354	219	4	generate	generate	VERB
fis-1354	219	5	the	the	DET
fis-1354	219	6	probabilistic	probabilistic	ADJ
fis-1354	219	7	fatigue	fatigue	NOUN
fis-1354	219	8	crack	crack	NOUN
fis-1354	219	9	propagation	propagation	NOUN
fis-1354	219	10	fields	field	NOUN
fis-1354	219	11	was	be	AUX
fis-1354	219	12	aforementioned	aforementione	VERB
fis-1354	219	13	and	and	CCONJ
fis-1354	219	14	illustrated	illustrate	VERB
fis-1354	219	15	in	in	ADP
fis-1354	219	16	the	the	DET
fis-1354	219	17	fig	fig	NOUN
fis-1354	219	18	.	.	PUNCT
fis-1354	220	1	5	5	X
fis-1354	220	2	.	.	X
fis-1354	220	3	finite	finite	PROPN
fis-1354	220	4	element	element	NOUN
fis-1354	220	5	analysis	analysis	NOUN
fis-1354	220	6	of	of	ADP
fis-1354	220	7	the	the	DET
fis-1354	220	8	ct	ct	PROPN
fis-1354	220	9	geometry	geometry	NOUN
fis-1354	220	10	in	in	ADP
fis-1354	220	11	order	order	NOUN
fis-1354	220	12	to	to	PART
fis-1354	220	13	assess	assess	VERB
fis-1354	220	14	the	the	DET
fis-1354	220	15	accuracy	accuracy	NOUN
fis-1354	220	16	of	of	ADP
fis-1354	220	17	the	the	DET
fis-1354	220	18	simplified	simplified	ADJ
fis-1354	220	19	elastoplastic	elastoplastic	ADJ
fis-1354	220	20	analysis	analysis	NOUN
fis-1354	220	21	proposed	propose	VERB
fis-1354	220	22	in	in	ADP
fis-1354	220	23	the	the	DET
fis-1354	220	24	unigrow	unigrow	PROPN
fis-1354	220	25	model	model	NOUN
fis-1354	220	26	for	for	ADP
fis-1354	220	27	the	the	DET
fis-1354	220	28	residual	residual	ADJ
fis-1354	220	29	stress	stress	NOUN
fis-1354	220	30	estimation	estimation	NOUN
fis-1354	220	31	,	,	PUNCT
fis-1354	220	32	a	a	DET
fis-1354	220	33	bi	bi	ADJ
fis-1354	220	34	-	-	ADJ
fis-1354	220	35	dimensional	dimensional	ADJ
fis-1354	220	36	parametric	parametric	ADJ
fis-1354	220	37	finite	finite	PROPN
fis-1354	220	38	element	element	NOUN
fis-1354	220	39	model	model	NOUN
fis-1354	220	40	of	of	ADP
fis-1354	220	41	the	the	DET
fis-1354	220	42	ct	ct	PROPN
fis-1354	220	43	specimen	speciman	NOUN
fis-1354	220	44	was	be	AUX
fis-1354	220	45	built	build	VERB
fis-1354	220	46	and	and	CCONJ
fis-1354	220	47	used	use	VERB
fis-1354	220	48	in	in	ADP
fis-1354	220	49	an	an	DET
fis-1354	220	50	elastoplastic	elastoplastic	ADJ
fis-1354	220	51	finite	finite	ADJ
fis-1354	220	52	analysis	analysis	NOUN
fis-1354	220	53	,	,	PUNCT
fis-1354	220	54	using	use	VERB
fis-1354	220	55	ansys	ansys	PROPN
fis-1354	220	56	®	®	NOUN
fis-1354	220	57	12.0	12.0	NUM
fis-1354	220	58	commercial	commercial	ADJ
fis-1354	220	59	code	code	NOUN
fis-1354	221	1	[	[	X
fis-1354	221	2	31	31	NUM
fis-1354	221	3	]	]	PUNCT
fis-1354	221	4	.	.	PUNCT
fis-1354	222	1	fig	fig	NOUN
fis-1354	222	2	.	.	PUNCT
fis-1354	223	1	8	8	NUM
fis-1354	223	2	illustrates	illustrate	VERB
fis-1354	223	3	the	the	DET
fis-1354	223	4	typical	typical	ADJ
fis-1354	223	5	finite	finite	PROPN
fis-1354	223	6	element	element	NOUN
fis-1354	223	7	mesh	mesh	NOUN
fis-1354	223	8	of	of	ADP
fis-1354	223	9	the	the	DET
fis-1354	223	10	ct	ct	PROPN
fis-1354	223	11	geometry	geometry	NOUN
fis-1354	223	12	with	with	ADP
fis-1354	223	13	the	the	DET
fis-1354	223	14	respective	respective	ADJ
fis-1354	223	15	boundary	boundary	ADJ
fis-1354	223	16	conditions	condition	NOUN
fis-1354	223	17	.	.	PUNCT
fis-1354	224	1	figure	figure	VERB
fis-1354	224	2	8	8	NUM
fis-1354	224	3	:	:	PUNCT
fis-1354	224	4	typical	typical	ADJ
fis-1354	224	5	finite	finite	ADJ
fis-1354	224	6	element	element	NOUN
fis-1354	224	7	mesh	mesh	NOUN
fis-1354	224	8	of	of	ADP
fis-1354	224	9	the	the	DET
fis-1354	224	10	ct	ct	PROPN
fis-1354	224	11	specimen	speciman	NOUN
fis-1354	224	12	,	,	PUNCT
fis-1354	224	13	using	use	VERB
fis-1354	224	14	6	6	NUM
fis-1354	224	15	-	-	PUNCT
fis-1354	224	16	noded	nod	VERB
fis-1354	224	17	quadratic	quadratic	ADJ
fis-1354	224	18	triangular	triangular	NOUN
fis-1354	224	19	plane	plane	NOUN
fis-1354	224	20	stress	stress	NOUN
fis-1354	224	21	elements	element	NOUN
fis-1354	224	22	.	.	PUNCT
fis-1354	225	1	only	only	ADV
fis-1354	225	2	½	½	NOUN
fis-1354	225	3	of	of	ADP
fis-1354	225	4	the	the	DET
fis-1354	225	5	geometry	geometry	NOUN
fis-1354	225	6	is	be	AUX
fis-1354	225	7	modelled	model	VERB
fis-1354	225	8	,	,	PUNCT
fis-1354	225	9	taking	take	VERB
fis-1354	225	10	into	into	ADP
fis-1354	225	11	account	account	NOUN
fis-1354	225	12	the	the	DET
fis-1354	225	13	existing	exist	VERB
fis-1354	225	14	plane	plane	NOUN
fis-1354	225	15	of	of	ADP
fis-1354	225	16	symmetry	symmetry	NOUN
fis-1354	225	17	.	.	PUNCT
fis-1354	226	1	plane	plane	NOUN
fis-1354	226	2	stress	stress	NOUN
fis-1354	226	3	conditions	condition	NOUN
fis-1354	226	4	were	be	AUX
fis-1354	226	5	assumed	assume	VERB
fis-1354	226	6	since	since	SCONJ
fis-1354	226	7	the	the	DET
fis-1354	226	8	thickness	thickness	NOUN
fis-1354	226	9	of	of	ADP
fis-1354	226	10	specimens	specimen	NOUN
fis-1354	226	11	are	be	AUX
fis-1354	226	12	relatively	relatively	ADV
fis-1354	226	13	reduced	reduce	VERB
fis-1354	226	14	(	(	PUNCT
fis-1354	226	15	b=8	b=8	NOUN
fis-1354	226	16	mm	mm	NUM
fis-1354	226	17	)	)	PUNCT
fis-1354	226	18	.	.	PUNCT
fis-1354	227	1	plane	plane	NOUN
fis-1354	227	2	stress	stress	NOUN
fis-1354	227	3	quadratic	quadratic	ADJ
fis-1354	227	4	6	6	NUM
fis-1354	227	5	-	-	PUNCT
fis-1354	227	6	noded	nod	VERB
fis-1354	227	7	triangular	triangular	NOUN
fis-1354	227	8	elements	element	NOUN
fis-1354	227	9	were	be	AUX
fis-1354	227	10	used	use	VERB
fis-1354	227	11	in	in	ADP
fis-1354	227	12	the	the	DET
fis-1354	227	13	analysis	analysis	NOUN
fis-1354	227	14	(	(	PUNCT
fis-1354	227	15	solid183	solid183	PROPN
fis-1354	227	16	)	)	PUNCT
fis-1354	227	17	,	,	PUNCT
fis-1354	227	18	with	with	ADP
fis-1354	227	19	3	3	NUM
fis-1354	227	20	integration	integration	NOUN
fis-1354	227	21	points	point	NOUN
fis-1354	227	22	.	.	PUNCT
fis-1354	228	1	in	in	ADP
fis-1354	228	2	order	order	NOUN
fis-1354	228	3	to	to	PART
fis-1354	228	4	simulate	simulate	VERB
fis-1354	228	5	the	the	DET
fis-1354	228	6	pin	pin	NOUN
fis-1354	228	7	loading	loading	NOUN
fis-1354	228	8	,	,	PUNCT
fis-1354	228	9	rigid	rigid	ADJ
fis-1354	228	10	-	-	PUNCT
fis-1354	228	11	toflexible	toflexible	ADJ
fis-1354	228	12	contact	contact	NOUN
fis-1354	228	13	was	be	AUX
fis-1354	228	14	used	use	VERB
fis-1354	228	15	with	with	ADP
fis-1354	228	16	a	a	DET
fis-1354	228	17	friction	friction	NOUN
fis-1354	228	18	coefficient	coefficient	NOUN
fis-1354	228	19	,	,	PUNCT
fis-1354	228	20	µ=0.3	µ=0.3	PROPN
fis-1354	228	21	.	.	PUNCT
fis-1354	229	1	the	the	DET
fis-1354	229	2	pin	pin	NOUN
fis-1354	229	3	was	be	AUX
fis-1354	229	4	modelled	model	VERB
fis-1354	229	5	as	as	ADP
fis-1354	229	6	a	a	DET
fis-1354	229	7	rigid	rigid	ADJ
fis-1354	229	8	circle	circle	NOUN
fis-1354	229	9	controlled	control	VERB
fis-1354	229	10	by	by	ADP
fis-1354	229	11	a	a	DET
fis-1354	229	12	pilot	pilot	NOUN
fis-1354	229	13	node	node	NOUN
fis-1354	229	14	,	,	PUNCT
fis-1354	229	15	using	use	VERB
fis-1354	229	16	targe169	targe169	PROPN
fis-1354	229	17	elements	element	NOUN
fis-1354	229	18	.	.	PUNCT
fis-1354	230	1	the	the	DET
fis-1354	230	2	surface	surface	NOUN
fis-1354	230	3	of	of	ADP
fis-1354	230	4	the	the	DET
fis-1354	230	5	holes	hole	NOUN
fis-1354	230	6	was	be	AUX
fis-1354	230	7	modelled	model	VERB
fis-1354	230	8	as	as	ADP
fis-1354	230	9	a	a	DET
fis-1354	230	10	flexible	flexible	ADJ
fis-1354	230	11	surface	surface	NOUN
fis-1354	230	12	using	use	VERB
fis-1354	230	13	conta172	conta172	PROPN
fis-1354	230	14	elements	element	NOUN
fis-1354	230	15	.	.	PUNCT
fis-1354	231	1	the	the	DET
fis-1354	231	2	augmented	augment	VERB
fis-1354	231	3	lagrange	lagrange	PROPN
fis-1354	231	4	contact	contact	NOUN
fis-1354	231	5	algorithm	algorithm	NOUN
fis-1354	231	6	was	be	AUX
fis-1354	231	7	used	use	VERB
fis-1354	231	8	.	.	PUNCT
fis-1354	232	1	the	the	DET
fis-1354	232	2	associative	associative	PROPN
fis-1354	232	3	von	von	PROPN
fis-1354	232	4	mises	mises	PROPN
fis-1354	232	5	(	(	PUNCT
fis-1354	232	6	j2	j2	PROPN
fis-1354	232	7	)	)	PUNCT
fis-1354	232	8	yield	yield	NOUN
fis-1354	232	9	theory	theory	NOUN
fis-1354	232	10	with	with	ADP
fis-1354	232	11	multilinear	multilinear	PROPN
fis-1354	232	12	kinematic	kinematic	ADJ
fis-1354	232	13	hardening	hardening	NOUN
fis-1354	232	14	was	be	AUX
fis-1354	232	15	used	use	VERB
fis-1354	232	16	to	to	PART
fis-1354	232	17	model	model	VERB
fis-1354	232	18	the	the	DET
fis-1354	232	19	plastic	plastic	ADJ
fis-1354	232	20	behaviour	behaviour	NOUN
fis-1354	232	21	.	.	PUNCT
fis-1354	233	1	fig	fig	NOUN
fis-1354	233	2	.	.	PUNCT
fis-1354	234	1	9	9	NUM
fis-1354	234	2	shows	show	VERB
fis-1354	234	3	the	the	DET
fis-1354	234	4	superposition	superposition	NOUN
fis-1354	234	5	of	of	ADP
fis-1354	234	6	the	the	DET
fis-1354	234	7	rambergosgood	rambergosgood	NOUN
fis-1354	234	8	relation	relation	NOUN
fis-1354	234	9	[	[	X
fis-1354	234	10	32	32	NUM
fis-1354	234	11	]	]	PUNCT
fis-1354	234	12	with	with	ADP
fis-1354	234	13	the	the	DET
fis-1354	234	14	response	response	NOUN
fis-1354	234	15	of	of	ADP
fis-1354	234	16	a	a	DET
fis-1354	234	17	finite	finite	ADJ
fis-1354	234	18	element	element	NOUN
fis-1354	234	19	model	model	NOUN
fis-1354	234	20	reproducing	reproduce	VERB
fis-1354	234	21	a	a	DET
fis-1354	234	22	uniaxial	uniaxial	ADJ
fis-1354	234	23	stress	stress	NOUN
fis-1354	234	24	state	state	NOUN
fis-1354	234	25	(	(	PUNCT
fis-1354	234	26	single	single	ADJ
fis-1354	234	27	cubic	cubic	ADJ
fis-1354	234	28	element	element	NOUN
fis-1354	234	29	t	t	PROPN
fis-1354	234	30	j.a.f.o	j.a.f.o	PROPN
fis-1354	234	31	.	.	PUNCT
fis-1354	235	1	correia	correia	PROPN
fis-1354	235	2	et	et	PROPN
fis-1354	235	3	alii	alii	PROPN
fis-1354	235	4	,	,	PUNCT
fis-1354	235	5	frattura	frattura	PROPN
fis-1354	235	6	ed	ed	PROPN
fis-1354	235	7	integrità	integrità	PROPN
fis-1354	235	8	strutturale	strutturale	PROPN
fis-1354	235	9	,	,	PUNCT
fis-1354	235	10	31	31	NUM
fis-1354	235	11	(	(	PUNCT
fis-1354	235	12	2015	2015	NUM
fis-1354	235	13	)	)	PUNCT
fis-1354	235	14	80	80	NUM
fis-1354	235	15	-	-	SYM
fis-1354	235	16	96	96	NUM
fis-1354	235	17	;	;	PUNCT
fis-1354	235	18	doi	doi	NOUN
fis-1354	235	19	:	:	PUNCT
fis-1354	235	20	10.3221	10.3221	NUM
fis-1354	235	21	/	/	SYM
fis-1354	235	22	igf	igf	PROPN
fis-1354	235	23	-	-	ADJ
fis-1354	235	24	esis.31.07	esis.31.07	PROPN
fis-1354	235	25	89	89	NUM
fis-1354	235	26	model	model	NOUN
fis-1354	235	27	)	)	PUNCT
fis-1354	235	28	.	.	PUNCT
fis-1354	236	1	besides	besides	SCONJ
fis-1354	236	2	the	the	DET
fis-1354	236	3	symmetry	symmetry	NOUN
fis-1354	236	4	boundary	boundary	ADJ
fis-1354	236	5	conditions	condition	NOUN
fis-1354	236	6	,	,	PUNCT
fis-1354	236	7	the	the	DET
fis-1354	236	8	pilot	pilot	NOUN
fis-1354	236	9	node	node	NOUN
fis-1354	236	10	controlling	control	VERB
fis-1354	236	11	the	the	DET
fis-1354	236	12	pin	pin	NOUN
fis-1354	236	13	displacement	displacement	NOUN
fis-1354	236	14	was	be	AUX
fis-1354	236	15	restricted	restrict	VERB
fis-1354	236	16	along	along	ADP
fis-1354	236	17	the	the	DET
fis-1354	236	18	loading	loading	NOUN
fis-1354	236	19	direction	direction	NOUN
fis-1354	236	20	.	.	PUNCT
fis-1354	237	1	finally	finally	ADV
fis-1354	237	2	,	,	PUNCT
fis-1354	237	3	the	the	DET
fis-1354	237	4	load	load	NOUN
fis-1354	237	5	was	be	AUX
fis-1354	237	6	applied	apply	VERB
fis-1354	237	7	directly	directly	ADV
fis-1354	237	8	to	to	ADP
fis-1354	237	9	the	the	DET
fis-1354	237	10	pilot	pilot	NOUN
fis-1354	237	11	node	node	NOUN
fis-1354	237	12	.	.	PUNCT
fis-1354	238	1	it	it	PRON
fis-1354	238	2	is	be	AUX
fis-1354	238	3	interesting	interesting	ADJ
fis-1354	238	4	to	to	PART
fis-1354	238	5	note	note	VERB
fis-1354	238	6	that	that	SCONJ
fis-1354	238	7	the	the	DET
fis-1354	238	8	crack	crack	NOUN
fis-1354	238	9	was	be	AUX
fis-1354	238	10	modelled	model	VERB
fis-1354	238	11	with	with	ADP
fis-1354	238	12	a	a	DET
fis-1354	238	13	tip	tip	NOUN
fis-1354	238	14	radius	radius	NOUN
fis-1354	238	15	of	of	ADP
fis-1354	238	16	ρ	ρ	PROPN
fis-1354	238	17	*	*	PROPN
fis-1354	238	18	,	,	PUNCT
fis-1354	238	19	according	accord	VERB
fis-1354	238	20	the	the	DET
fis-1354	238	21	assumptions	assumption	NOUN
fis-1354	238	22	of	of	ADP
fis-1354	238	23	fig	fig	NOUN
fis-1354	238	24	.	.	PUNCT
fis-1354	239	1	1b	1b	NUM
fis-1354	239	2	.	.	PUNCT
fis-1354	240	1	the	the	DET
fis-1354	240	2	mesh	mesh	NOUN
fis-1354	240	3	size	size	NOUN
fis-1354	240	4	at	at	ADP
fis-1354	240	5	crack	crack	NOUN
fis-1354	240	6	tip	tip	NOUN
fis-1354	240	7	was	be	AUX
fis-1354	240	8	calibrated	calibrate	VERB
fis-1354	240	9	using	use	VERB
fis-1354	240	10	a	a	DET
fis-1354	240	11	convergence	convergence	NOUN
fis-1354	240	12	study	study	NOUN
fis-1354	240	13	taking	take	VERB
fis-1354	240	14	into	into	ADP
fis-1354	240	15	account	account	NOUN
fis-1354	240	16	the	the	DET
fis-1354	240	17	elastic	elastic	ADJ
fis-1354	240	18	stresses	stress	NOUN
fis-1354	240	19	along	along	ADP
fis-1354	240	20	the	the	DET
fis-1354	240	21	crack	crack	NOUN
fis-1354	240	22	plane	plane	NOUN
fis-1354	240	23	(	(	PUNCT
fis-1354	240	24	σx	σx	NOUN
fis-1354	240	25	:	:	PUNCT
fis-1354	240	26	crack	crack	VERB
fis-1354	240	27	plane	plane	NOUN
fis-1354	240	28	direction	direction	NOUN
fis-1354	240	29	;	;	PUNCT
fis-1354	240	30	σy	σy	NOUN
fis-1354	240	31	:	:	PUNCT
fis-1354	240	32	crack	crack	VERB
fis-1354	240	33	plane	plane	NOUN
fis-1354	240	34	normal	normal	ADJ
fis-1354	240	35	direction	direction	NOUN
fis-1354	240	36	)	)	PUNCT
fis-1354	240	37	.	.	PUNCT
fis-1354	241	1	fig	fig	NOUN
fis-1354	241	2	.	.	PUNCT
fis-1354	242	1	10	10	NUM
fis-1354	242	2	illustrates	illustrate	VERB
fis-1354	242	3	the	the	DET
fis-1354	242	4	crack	crack	NOUN
fis-1354	242	5	tip	tip	NOUN
fis-1354	242	6	meshes	mesh	NOUN
fis-1354	242	7	considered	consider	VERB
fis-1354	242	8	in	in	ADP
fis-1354	242	9	this	this	DET
fis-1354	242	10	convergence	convergence	NOUN
fis-1354	242	11	study	study	NOUN
fis-1354	242	12	and	and	CCONJ
fis-1354	242	13	mesh	mesh	NOUN
fis-1354	242	14	2	2	NUM
fis-1354	242	15	was	be	AUX
fis-1354	242	16	the	the	DET
fis-1354	242	17	one	one	NOUN
fis-1354	242	18	adopted	adopt	VERB
fis-1354	242	19	for	for	ADP
fis-1354	242	20	the	the	DET
fis-1354	242	21	numerical	numerical	ADJ
fis-1354	242	22	simulations	simulation	NOUN
fis-1354	242	23	.	.	PUNCT
fis-1354	243	1	tab	tab	NOUN
fis-1354	243	2	.	.	PUNCT
fis-1354	244	1	3	3	NUM
fis-1354	244	2	presents	present	VERB
fis-1354	244	3	the	the	DET
fis-1354	244	4	maximum	maximum	ADJ
fis-1354	244	5	elastic	elastic	ADJ
fis-1354	244	6	stresses	stress	NOUN
fis-1354	244	7	(	(	PUNCT
fis-1354	244	8	σx	σx	NOUN
fis-1354	244	9	and	and	CCONJ
fis-1354	244	10	σy	σy	NOUN
fis-1354	244	11	)	)	PUNCT
fis-1354	244	12	ahead	ahead	ADV
fis-1354	244	13	of	of	ADP
fis-1354	244	14	the	the	DET
fis-1354	244	15	crack	crack	NOUN
fis-1354	244	16	tip	tip	NOUN
fis-1354	244	17	,	,	PUNCT
fis-1354	244	18	resulting	result	VERB
fis-1354	244	19	from	from	ADP
fis-1354	244	20	distinct	distinct	ADJ
fis-1354	244	21	mesh	mesh	NOUN
fis-1354	244	22	densities	density	NOUN
fis-1354	244	23	,	,	PUNCT
fis-1354	244	24	for	for	ADP
fis-1354	244	25	the	the	DET
fis-1354	244	26	s355	s355	PROPN
fis-1354	244	27	steel	steel	NOUN
fis-1354	244	28	.	.	PUNCT
fis-1354	245	1	the	the	DET
fis-1354	245	2	results	result	NOUN
fis-1354	245	3	are	be	AUX
fis-1354	245	4	compared	compare	VERB
fis-1354	245	5	between	between	ADP
fis-1354	245	6	the	the	DET
fis-1354	245	7	adopted	adopt	VERB
fis-1354	245	8	reference	reference	NOUN
fis-1354	245	9	mesh	mesh	NOUN
fis-1354	245	10	2	2	NUM
fis-1354	245	11	and	and	CCONJ
fis-1354	245	12	the	the	DET
fis-1354	245	13	other	other	ADJ
fis-1354	245	14	tested	test	VERB
fis-1354	245	15	meshes	mesh	NOUN
fis-1354	245	16	.	.	PUNCT
fis-1354	246	1	mesh	mesh	NOUN
fis-1354	246	2	2	2	NUM
fis-1354	246	3	gives	give	VERB
fis-1354	246	4	a	a	DET
fis-1354	246	5	good	good	ADJ
fis-1354	246	6	compromise	compromise	NOUN
fis-1354	246	7	between	between	ADP
fis-1354	246	8	computational	computational	ADJ
fis-1354	246	9	cost	cost	NOUN
fis-1354	246	10	and	and	CCONJ
fis-1354	246	11	stability	stability	NOUN
fis-1354	246	12	of	of	ADP
fis-1354	246	13	the	the	DET
fis-1354	246	14	solution	solution	NOUN
fis-1354	246	15	.	.	PUNCT
fis-1354	247	1	0	0	NUM
fis-1354	248	1	100	100	NUM
fis-1354	248	2	200	200	NUM
fis-1354	248	3	300	300	NUM
fis-1354	248	4	400	400	NUM
fis-1354	248	5	500	500	NUM
fis-1354	248	6	600	600	NUM
fis-1354	248	7	700	700	NUM
fis-1354	248	8	0.00e+00	0.00e+00	NUM
fis-1354	248	9	1.00e‐02	1.00e‐02	NUM
fis-1354	248	10	2.00e‐02	2.00e‐02	NUM
fis-1354	249	1	3.00e‐02	3.00e‐02	NUM
fis-1354	249	2	4.00e‐02	4.00e‐02	NUM
fis-1354	249	3	5.00e‐02	5.00e‐02	NUM
fis-1354	249	4	strain	strain	NOUN
fis-1354	249	5	 	 	SPACE
fis-1354	250	1	[	[	X
fis-1354	250	2	‐	‐	X
fis-1354	250	3	]	]	X
fis-1354	250	4	st	st	PROPN
fis-1354	250	5	re	re	PROPN
fis-1354	250	6	ss	ss	PROPN
fis-1354	250	7	 	 	SPACE
fis-1354	250	8	[	[	PUNCT
fis-1354	250	9	m	m	VERB
fis-1354	250	10	p	p	NOUN
fis-1354	250	11	a	a	X
fis-1354	250	12	]	]	X
fis-1354	250	13	ramberg‐osgood	ramberg‐osgood	NOUN
fis-1354	250	14	fem	fem	NOUN
fis-1354	250	15	 	 	SPACE
fis-1354	250	16	‐	‐	VERB
fis-1354	250	17	 	 	SPACE
fis-1354	250	18	multi	multi	ADJ
fis-1354	250	19	l	l	NOUN
fis-1354	250	20	inear	inear	NOUN
fis-1354	250	21	figure	figure	VERB
fis-1354	250	22	9	9	NUM
fis-1354	250	23	:	:	PUNCT
fis-1354	250	24	cyclic	cyclic	ADJ
fis-1354	250	25	curve	curve	NOUN
fis-1354	250	26	of	of	ADP
fis-1354	250	27	the	the	DET
fis-1354	250	28	s355	s355	PROPN
fis-1354	250	29	steel	steel	NOUN
fis-1354	250	30	.	.	PUNCT
fis-1354	251	1	mesh	mesh	NOUN
fis-1354	251	2	5	5	NUM
fis-1354	251	3	mesh	mesh	NOUN
fis-1354	251	4	4	4	NUM
fis-1354	251	5	mesh	mesh	NOUN
fis-1354	251	6	1	1	NUM
fis-1354	251	7	mesh	mesh	NOUN
fis-1354	251	8	2	2	NUM
fis-1354	251	9	mesh	mesh	NOUN
fis-1354	251	10	3	3	NUM
fis-1354	251	11	figure	figure	NOUN
fis-1354	251	12	10	10	NUM
fis-1354	251	13	:	:	PUNCT
fis-1354	251	14	finite	finite	PROPN
fis-1354	251	15	element	element	NOUN
fis-1354	251	16	meshes	mesh	NOUN
fis-1354	251	17	used	use	VERB
fis-1354	251	18	in	in	ADP
fis-1354	251	19	the	the	DET
fis-1354	251	20	convergence	convergence	NOUN
fis-1354	251	21	study	study	NOUN
fis-1354	251	22	for	for	ADP
fis-1354	251	23	the	the	DET
fis-1354	251	24	s355	s355	PROPN
fis-1354	251	25	steel	steel	NOUN
fis-1354	251	26	(	(	PUNCT
fis-1354	251	27	ρ*=55	ρ*=55	PROPN
fis-1354	251	28	µm	µm	NOUN
fis-1354	251	29	)	)	PUNCT
fis-1354	251	30	.	.	PUNCT
fis-1354	252	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	252	2	.	.	PUNCT
fis-1354	252	3	correia	correia	PROPN
fis-1354	252	4	et	et	PROPN
fis-1354	252	5	alii	alii	PROPN
fis-1354	252	6	,	,	PUNCT
fis-1354	252	7	frattura	frattura	PROPN
fis-1354	252	8	ed	ed	PROPN
fis-1354	252	9	integrità	integrità	PROPN
fis-1354	252	10	strutturale	strutturale	PROPN
fis-1354	252	11	,	,	PUNCT
fis-1354	252	12	31	31	NUM
fis-1354	252	13	(	(	PUNCT
fis-1354	252	14	2015	2015	NUM
fis-1354	252	15	)	)	PUNCT
fis-1354	252	16	80	80	NUM
fis-1354	252	17	-	-	SYM
fis-1354	252	18	96	96	NUM
fis-1354	252	19	;	;	PUNCT
fis-1354	252	20	doi	doi	NOUN
fis-1354	252	21	:	:	PUNCT
fis-1354	252	22	10.3221	10.3221	NUM
fis-1354	252	23	/	/	SYM
fis-1354	252	24	igf	igf	PROPN
fis-1354	252	25	-	-	ADJ
fis-1354	252	26	esis.31.07	esis.31.07	ADJ
fis-1354	252	27	90	90	NUM
fis-1354	252	28	maximum	maximum	ADJ
fis-1354	252	29	stress	stress	NOUN
fis-1354	252	30	mesh	mesh	NOUN
fis-1354	252	31	5	5	NUM
fis-1354	252	32	mesh	mesh	NOUN
fis-1354	252	33	4	4	NUM
fis-1354	252	34	mesh	mesh	NOUN
fis-1354	252	35	1	1	NUM
fis-1354	252	36	mesh	mesh	NOUN
fis-1354	252	37	2	2	NUM
fis-1354	252	38	mesh	mesh	NOUN
fis-1354	252	39	3	3	NUM
fis-1354	252	40	y	y	PROPN
fis-1354	253	1	[	[	X
fis-1354	253	2	mpa	mpa	X
fis-1354	253	3	]	]	X
fis-1354	253	4	1637.00	1637.00	NUM
fis-1354	253	5	1772.00	1772.00	NUM
fis-1354	253	6	1797.00	1797.00	NUM
fis-1354	253	7	1926.90	1926.90	NUM
fis-1354	253	8	1928.80	1928.80	NUM
fis-1354	253	9	dev	dev	NOUN
fis-1354	253	10	.	.	PUNCT
fis-1354	254	1	[	[	X
fis-1354	254	2	%	%	X
fis-1354	254	3	]	]	X
fis-1354	254	4	-15.04	-15.04	X
fis-1354	254	5	-9.04	-9.04	PROPN
fis-1354	254	6	-6.71	-6.71	VERB
fis-1354	254	7	0.10	0.10	NUM
fis-1354	254	8	x	x	PROPN
fis-1354	255	1	[	[	X
fis-1354	255	2	mpa	mpa	X
fis-1354	255	3	]	]	X
fis-1354	255	4	419.70	419.70	NUM
fis-1354	255	5	423.83	423.83	NUM
fis-1354	255	6	416.67	416.67	NUM
fis-1354	255	7	417.89	417.89	NUM
fis-1354	255	8	417.78	417.78	NUM
fis-1354	255	9	dev	dev	NOUN
fis-1354	255	10	.	.	PUNCT
fis-1354	256	1	[	[	X
fis-1354	256	2	%	%	X
fis-1354	256	3	]	]	X
fis-1354	256	4	2.83	2.83	NUM
fis-1354	256	5	1.42	1.42	NUM
fis-1354	256	6	-0.29	-0.29	NUM
fis-1354	256	7	-0.03	-0.03	NUM
fis-1354	256	8	table	table	NOUN
fis-1354	256	9	3	3	NUM
fis-1354	256	10	:	:	PUNCT
fis-1354	256	11	maximum	maximum	ADJ
fis-1354	256	12	elastic	elastic	ADJ
fis-1354	256	13	stresses	stress	NOUN
fis-1354	256	14	for	for	ADP
fis-1354	256	15	distinct	distinct	ADJ
fis-1354	256	16	finite	finite	PROPN
fis-1354	256	17	element	element	NOUN
fis-1354	256	18	mesh	mesh	NOUN
fis-1354	256	19	densities	density	NOUN
fis-1354	256	20	for	for	ADP
fis-1354	256	21	the	the	DET
fis-1354	256	22	s355	s355	PROPN
fis-1354	256	23	steel	steel	NOUN
fis-1354	256	24	(	(	PUNCT
fis-1354	256	25	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	256	26	,	,	PUNCT
fis-1354	256	27	a=10	a=10	PROPN
fis-1354	256	28	mm	mm	PROPN
fis-1354	256	29	,	,	PUNCT
fis-1354	256	30	ρ*=55	ρ*=55	PROPN
fis-1354	256	31	µm	µm	NOUN
fis-1354	256	32	)	)	PUNCT
fis-1354	256	33	.	.	PUNCT
fis-1354	257	1	the	the	DET
fis-1354	257	2	finite	finite	PROPN
fis-1354	257	3	element	element	NOUN
fis-1354	257	4	model	model	NOUN
fis-1354	257	5	was	be	AUX
fis-1354	257	6	used	use	VERB
fis-1354	257	7	to	to	PART
fis-1354	257	8	simulate	simulate	VERB
fis-1354	257	9	a	a	DET
fis-1354	257	10	loading	loading	NOUN
fis-1354	257	11	and	and	CCONJ
fis-1354	257	12	unloading	unloading	NOUN
fis-1354	257	13	sequence	sequence	NOUN
fis-1354	257	14	.	.	PUNCT
fis-1354	258	1	the	the	DET
fis-1354	258	2	residual	residual	ADJ
fis-1354	258	3	stresses	stress	NOUN
fis-1354	258	4	are	be	AUX
fis-1354	258	5	computed	compute	VERB
fis-1354	258	6	from	from	ADP
fis-1354	258	7	the	the	DET
fis-1354	258	8	stress	stress	NOUN
fis-1354	258	9	field	field	NOUN
fis-1354	258	10	at	at	ADP
fis-1354	258	11	the	the	DET
fis-1354	258	12	end	end	NOUN
fis-1354	258	13	of	of	ADP
fis-1354	258	14	the	the	DET
fis-1354	258	15	unloading	unloading	NOUN
fis-1354	258	16	load	load	NOUN
fis-1354	258	17	step	step	NOUN
fis-1354	258	18	.	.	PUNCT
fis-1354	259	1	alternatively	alternatively	ADV
fis-1354	259	2	,	,	PUNCT
fis-1354	259	3	the	the	DET
fis-1354	259	4	simplified	simplified	ADJ
fis-1354	259	5	analytical	analytical	ADJ
fis-1354	259	6	solution	solution	NOUN
fis-1354	259	7	based	base	VERB
fis-1354	259	8	on	on	ADP
fis-1354	259	9	multiaxial	multiaxial	ADJ
fis-1354	259	10	neuber	neuber	NOUN
fis-1354	259	11	’s	’s	PART
fis-1354	259	12	approach	approach	NOUN
fis-1354	259	13	[	[	X
fis-1354	259	14	15	15	NUM
fis-1354	259	15	]	]	PUNCT
fis-1354	259	16	was	be	AUX
fis-1354	259	17	implemented	implement	VERB
fis-1354	259	18	for	for	ADP
fis-1354	259	19	comparison	comparison	NOUN
fis-1354	259	20	purposes	purpose	NOUN
fis-1354	259	21	.	.	PUNCT
fis-1354	260	1	in	in	ADP
fis-1354	260	2	this	this	DET
fis-1354	260	3	case	case	NOUN
fis-1354	260	4	,	,	PUNCT
fis-1354	260	5	the	the	DET
fis-1354	260	6	residual	residual	ADJ
fis-1354	260	7	stresses	stress	NOUN
fis-1354	260	8	resulted	result	VERB
fis-1354	260	9	from	from	ADP
fis-1354	260	10	the	the	DET
fis-1354	260	11	subtraction	subtraction	NOUN
fis-1354	260	12	of	of	ADP
fis-1354	260	13	the	the	DET
fis-1354	260	14	cyclic	cyclic	ADJ
fis-1354	260	15	elastoplastic	elastoplastic	ADJ
fis-1354	260	16	stress	stress	NOUN
fis-1354	260	17	range	range	NOUN
fis-1354	260	18	to	to	ADP
fis-1354	260	19	the	the	DET
fis-1354	260	20	maximum	maximum	ADJ
fis-1354	260	21	elastoplastic	elastoplastic	ADJ
fis-1354	260	22	stress	stress	NOUN
fis-1354	260	23	,	,	PUNCT
fis-1354	260	24	both	both	PRON
fis-1354	260	25	computed	compute	VERB
fis-1354	260	26	in	in	ADP
fis-1354	260	27	an	an	DET
fis-1354	260	28	independent	independent	ADJ
fis-1354	260	29	way	way	NOUN
fis-1354	260	30	.	.	PUNCT
fis-1354	261	1	the	the	DET
fis-1354	261	2	finite	finite	PROPN
fis-1354	261	3	element	element	NOUN
fis-1354	261	4	model	model	NOUN
fis-1354	261	5	was	be	AUX
fis-1354	261	6	initially	initially	ADV
fis-1354	261	7	applied	apply	VERB
fis-1354	261	8	to	to	PART
fis-1354	261	9	perform	perform	VERB
fis-1354	261	10	elastic	elastic	ADJ
fis-1354	261	11	and	and	CCONJ
fis-1354	261	12	elastoplastic	elastoplastic	ADJ
fis-1354	261	13	stress	stress	NOUN
fis-1354	261	14	analyses	analysis	NOUN
fis-1354	261	15	in	in	ADP
fis-1354	261	16	order	order	NOUN
fis-1354	261	17	to	to	PART
fis-1354	261	18	allow	allow	VERB
fis-1354	261	19	the	the	DET
fis-1354	261	20	comparison	comparison	NOUN
fis-1354	261	21	of	of	ADP
fis-1354	261	22	the	the	DET
fis-1354	261	23	elastic	elastic	ADJ
fis-1354	261	24	and	and	CCONJ
fis-1354	261	25	elastoplastic	elastoplastic	ADJ
fis-1354	261	26	stress	stress	NOUN
fis-1354	261	27	distributions	distribution	NOUN
fis-1354	261	28	,	,	PUNCT
fis-1354	261	29	respectively	respectively	ADV
fis-1354	261	30	with	with	ADP
fis-1354	261	31	the	the	DET
fis-1354	261	32	creager	creager	PROPN
fis-1354	261	33	-	-	PUNCT
fis-1354	261	34	paris	paris	PROPN
fis-1354	261	35	solution	solution	NOUN
fis-1354	261	36	[	[	X
fis-1354	261	37	22	22	NUM
fis-1354	261	38	]	]	PUNCT
fis-1354	261	39	and	and	CCONJ
fis-1354	261	40	multiaxial	multiaxial	ADJ
fis-1354	261	41	neuber	neuber	NOUN
fis-1354	261	42	’s	’s	PART
fis-1354	261	43	approach	approach	NOUN
fis-1354	261	44	[	[	X
fis-1354	261	45	15	15	NUM
fis-1354	261	46	]	]	PUNCT
fis-1354	261	47	.	.	PUNCT
fis-1354	262	1	according	accord	VERB
fis-1354	262	2	to	to	ADP
fis-1354	262	3	the	the	DET
fis-1354	262	4	unigrow	unigrow	PROPN
fis-1354	262	5	model	model	NOUN
fis-1354	262	6	,	,	PUNCT
fis-1354	262	7	the	the	DET
fis-1354	262	8	compressive	compressive	ADJ
fis-1354	262	9	residual	residual	ADJ
fis-1354	262	10	stresses	stress	NOUN
fis-1354	262	11	computed	compute	VERB
fis-1354	262	12	ahead	ahead	ADV
fis-1354	262	13	the	the	DET
fis-1354	262	14	crack	crack	NOUN
fis-1354	262	15	tip	tip	NOUN
fis-1354	262	16	are	be	AUX
fis-1354	262	17	assumed	assume	VERB
fis-1354	262	18	to	to	PART
fis-1354	262	19	be	be	AUX
fis-1354	262	20	applied	apply	VERB
fis-1354	262	21	symmetrically	symmetrically	ADV
fis-1354	262	22	,	,	PUNCT
fis-1354	262	23	in	in	ADP
fis-1354	262	24	the	the	DET
fis-1354	262	25	crack	crack	NOUN
fis-1354	262	26	faces	face	NOUN
fis-1354	262	27	.	.	PUNCT
fis-1354	263	1	using	use	VERB
fis-1354	263	2	the	the	DET
fis-1354	263	3	weight	weight	NOUN
fis-1354	263	4	function	function	NOUN
fis-1354	263	5	method	method	NOUN
fis-1354	263	6	[	[	X
fis-1354	263	7	24	24	NUM
fis-1354	263	8	]	]	PUNCT
fis-1354	263	9	,	,	PUNCT
fis-1354	263	10	the	the	DET
fis-1354	263	11	residual	residual	ADJ
fis-1354	263	12	stress	stress	NOUN
fis-1354	263	13	intensity	intensity	NOUN
fis-1354	263	14	factor	factor	NOUN
fis-1354	263	15	,	,	PUNCT
fis-1354	263	16	kr	kr	PROPN
fis-1354	263	17	,	,	PUNCT
fis-1354	263	18	was	be	AUX
fis-1354	263	19	computed	compute	VERB
fis-1354	263	20	for	for	ADP
fis-1354	263	21	the	the	DET
fis-1354	263	22	stress	stress	NOUN
fis-1354	263	23	r	r	NOUN
fis-1354	263	24	-	-	PUNCT
fis-1354	263	25	ratios	ratio	NOUN
fis-1354	263	26	considered	consider	VERB
fis-1354	263	27	in	in	ADP
fis-1354	263	28	the	the	DET
fis-1354	263	29	experimental	experimental	ADJ
fis-1354	263	30	program	program	NOUN
fis-1354	263	31	.	.	PUNCT
fis-1354	264	1	the	the	DET
fis-1354	264	2	elastic	elastic	ADJ
fis-1354	264	3	stress	stress	NOUN
fis-1354	264	4	distributions	distribution	NOUN
fis-1354	264	5	from	from	ADP
fis-1354	264	6	the	the	DET
fis-1354	264	7	numerical	numerical	ADJ
fis-1354	264	8	and	and	CCONJ
fis-1354	264	9	analytical	analytical	ADJ
fis-1354	264	10	solutions	solution	NOUN
fis-1354	264	11	for	for	ADP
fis-1354	264	12	the	the	DET
fis-1354	264	13	ct	ct	PROPN
fis-1354	264	14	specimens	specimen	NOUN
fis-1354	264	15	made	make	VERB
fis-1354	264	16	of	of	ADP
fis-1354	264	17	the	the	DET
fis-1354	264	18	s355	s355	PROPN
fis-1354	264	19	steel	steel	NOUN
fis-1354	264	20	are	be	AUX
fis-1354	264	21	compared	compare	VERB
fis-1354	264	22	in	in	ADP
fis-1354	264	23	fig	fig	NOUN
fis-1354	264	24	.	.	PUNCT
fis-1354	265	1	11	11	NUM
fis-1354	265	2	.	.	X
fis-1354	265	3	fig	fig	NOUN
fis-1354	265	4	.	.	PUNCT
fis-1354	266	1	12	12	NUM
fis-1354	266	2	compares	compare	VERB
fis-1354	266	3	the	the	DET
fis-1354	266	4	elastoplastic	elastoplastic	ADJ
fis-1354	266	5	stress	stress	NOUN
fis-1354	266	6	distributions	distribution	NOUN
fis-1354	266	7	.	.	PUNCT
fis-1354	267	1	the	the	DET
fis-1354	267	2	results	result	NOUN
fis-1354	267	3	were	be	AUX
fis-1354	267	4	computed	compute	VERB
fis-1354	267	5	for	for	ADP
fis-1354	267	6	a	a	DET
fis-1354	267	7	crack	crack	NOUN
fis-1354	267	8	tip	tip	NOUN
fis-1354	267	9	radius	radius	NOUN
fis-1354	267	10	,	,	PUNCT
fis-1354	267	11	ρ*=5.5×10	ρ*=5.5×10	NOUN
fis-1354	267	12	-	-	SYM
fis-1354	267	13	5	5	NUM
fis-1354	267	14	m	m	NOUN
fis-1354	267	15	,	,	PUNCT
fis-1354	267	16	which	which	PRON
fis-1354	267	17	was	be	AUX
fis-1354	267	18	found	find	VERB
fis-1354	267	19	to	to	PART
fis-1354	267	20	be	be	AUX
fis-1354	267	21	the	the	DET
fis-1354	267	22	best	good	ADJ
fis-1354	267	23	value	value	NOUN
fis-1354	267	24	for	for	ADP
fis-1354	267	25	the	the	DET
fis-1354	267	26	s355	s355	PROPN
fis-1354	267	27	steel	steel	NOUN
fis-1354	267	28	,	,	PUNCT
fis-1354	267	29	that	that	PRON
fis-1354	267	30	gives	give	VERB
fis-1354	267	31	the	the	DET
fis-1354	267	32	best	good	ADJ
fis-1354	267	33	predictions	prediction	NOUN
fis-1354	267	34	for	for	ADP
fis-1354	267	35	the	the	DET
fis-1354	267	36	crack	crack	NOUN
fis-1354	267	37	growth	growth	NOUN
fis-1354	267	38	rates	rate	NOUN
fis-1354	267	39	,	,	PUNCT
fis-1354	267	40	based	base	VERB
fis-1354	267	41	on	on	ADP
fis-1354	267	42	swt	swt	PROPN
fis-1354	267	43	fatigue	fatigue	PROPN
fis-1354	267	44	damage	damage	NOUN
fis-1354	267	45	probabilistic	probabilistic	ADJ
fis-1354	267	46	field	field	NOUN
fis-1354	267	47	.	.	PUNCT
fis-1354	268	1	0.0e+00	0.0e+00	NOUN
fis-1354	268	2	8.0e+08	8.0e+08	NUM
fis-1354	268	3	1.6e+09	1.6e+09	NUM
fis-1354	268	4	2.4e+09	2.4e+09	NUM
fis-1354	268	5	3.2e+09	3.2e+09	NUM
fis-1354	268	6	4.0e+09	4.0e+09	NOUN
fis-1354	268	7	0.0e+00	0.0e+00	NOUN
fis-1354	269	1	2.0e‐04	2.0e‐04	NUM
fis-1354	269	2	4.0e‐04	4.0e‐04	NOUN
fis-1354	270	1	6.0e‐04	6.0e‐04	NOUN
fis-1354	271	1	8.0e‐04	8.0e‐04	NUM
fis-1354	271	2	1.0e‐03	1.0e‐03	ADJ
fis-1354	271	3	distance	distance	NOUN
fis-1354	271	4	 	 	SPACE
fis-1354	271	5	from	from	ADP
fis-1354	271	6	 	 	SPACE
fis-1354	271	7	the	the	DET
fis-1354	271	8	 	 	SPACE
fis-1354	271	9	crack	crack	NOUN
fis-1354	271	10	 	 	SPACE
fis-1354	271	11	tip	tip	NOUN
fis-1354	271	12	 	 	SPACE
fis-1354	272	1	[	[	X
fis-1354	272	2	m	m	X
fis-1354	272	3	]	]	X
fis-1354	272	4	el	el	PROPN
fis-1354	272	5	as	as	ADP
fis-1354	272	6	ti	ti	PROPN
fis-1354	272	7	c	c	PROPN
fis-1354	272	8	  	  	SPACE
fis-1354	272	9	st	st	PROPN
fis-1354	272	10	re	re	PROPN
fis-1354	272	11	ss	ss	PROPN
fis-1354	272	12	,	,	PUNCT
fis-1354	272	13	  	  	SPACE
fis-1354	272	14			PROPN
fis-1354	272	15	y	y	NOUN
fis-1354	272	16	  	  	SPACE
fis-1354	273	1	[	[	X
fis-1354	273	2	p	p	X
fis-1354	273	3	a	a	X
fis-1354	273	4	]	]	X
fis-1354	273	5	fem	fem	X
fis-1354	273	6	 	 	SPACE
fis-1354	273	7	(	(	PUNCT
fis-1354	273	8	a=10	a=10	NOUN
fis-1354	273	9	mm	mm	NOUN
fis-1354	273	10	)	)	PUNCT
fis-1354	273	11	creager‐paris	creager‐paris	PROPN
fis-1354	273	12	 	 	SPACE
fis-1354	273	13	(	(	PUNCT
fis-1354	273	14	a=10	a=10	NOUN
fis-1354	273	15	mm	mm	NOUN
fis-1354	273	16	)	)	PUNCT
fis-1354	273	17	fem	fem	NOUN
fis-1354	273	18	 	 	SPACE
fis-1354	273	19	(	(	PUNCT
fis-1354	273	20	a=15	a=15	NOUN
fis-1354	273	21	mm	mm	NOUN
fis-1354	273	22	)	)	PUNCT
fis-1354	273	23	creager‐paris	creager‐paris	PROPN
fis-1354	273	24	 	 	SPACE
fis-1354	273	25	(	(	PUNCT
fis-1354	273	26	a=15	a=15	NOUN
fis-1354	273	27	mm	mm	NOUN
fis-1354	273	28	)	)	PUNCT
fis-1354	273	29	fem	fem	PROPN
fis-1354	273	30	 	 	SPACE
fis-1354	273	31	(	(	PUNCT
fis-1354	273	32	a=20	a=20	PROPN
fis-1354	273	33	mm	mm	NOUN
fis-1354	273	34	)	)	PUNCT
fis-1354	273	35	creager‐paris	creager‐paris	PROPN
fis-1354	273	36	 	 	SPACE
fis-1354	273	37	(	(	PUNCT
fis-1354	273	38	a=20	a=20	PROPN
fis-1354	273	39	mm	mm	NOUN
fis-1354	273	40	)	)	PUNCT
fis-1354	273	41	r=0.0	r=0.0	NOUN
fis-1354	273	42	0.0e+00	0.0e+00	NUM
fis-1354	273	43	2.0e+08	2.0e+08	NUM
fis-1354	273	44	4.0e+08	4.0e+08	NUM
fis-1354	273	45	6.0e+08	6.0e+08	NUM
fis-1354	273	46	8.0e+08	8.0e+08	NUM
fis-1354	273	47	0.0e+00	0.0e+00	NOUN
fis-1354	274	1	2.0e‐04	2.0e‐04	NUM
fis-1354	275	1	4.0e‐04	4.0e‐04	NOUN
fis-1354	276	1	6.0e‐04	6.0e‐04	NOUN
fis-1354	277	1	8.0e‐04	8.0e‐04	NUM
fis-1354	277	2	1.0e‐03	1.0e‐03	ADJ
fis-1354	277	3	distance	distance	NOUN
fis-1354	277	4	 	 	SPACE
fis-1354	277	5	from	from	ADP
fis-1354	277	6	 	 	SPACE
fis-1354	277	7	the	the	DET
fis-1354	277	8	 	 	SPACE
fis-1354	277	9	crack	crack	NOUN
fis-1354	277	10	 	 	SPACE
fis-1354	277	11	tip	tip	NOUN
fis-1354	277	12	 	 	SPACE
fis-1354	278	1	[	[	X
fis-1354	278	2	m	m	X
fis-1354	278	3	]	]	X
fis-1354	278	4	el	el	PROPN
fis-1354	278	5	as	as	ADP
fis-1354	278	6	ti	ti	PROPN
fis-1354	278	7	c	c	PROPN
fis-1354	278	8	  	  	SPACE
fis-1354	278	9	st	st	PROPN
fis-1354	278	10	re	re	PROPN
fis-1354	278	11	ss	ss	PROPN
fis-1354	278	12	,	,	PUNCT
fis-1354	278	13	  	  	SPACE
fis-1354	278	14			PROPN
fis-1354	278	15	x	x	PRON
fis-1354	278	16	  	  	SPACE
fis-1354	279	1	[	[	X
fis-1354	279	2	p	p	X
fis-1354	279	3	a	a	X
fis-1354	279	4	]	]	X
fis-1354	279	5	fem	fem	X
fis-1354	279	6	 	 	SPACE
fis-1354	279	7	(	(	PUNCT
fis-1354	279	8	a=10	a=10	NOUN
fis-1354	279	9	mm	mm	NOUN
fis-1354	279	10	)	)	PUNCT
fis-1354	279	11	creager‐paris	creager‐paris	PROPN
fis-1354	279	12	 	 	SPACE
fis-1354	279	13	(	(	PUNCT
fis-1354	279	14	a=10	a=10	NOUN
fis-1354	279	15	mm	mm	NOUN
fis-1354	279	16	)	)	PUNCT
fis-1354	279	17	fem	fem	NOUN
fis-1354	279	18	 	 	SPACE
fis-1354	279	19	(	(	PUNCT
fis-1354	279	20	a=15	a=15	NOUN
fis-1354	279	21	mm	mm	NOUN
fis-1354	279	22	)	)	PUNCT
fis-1354	279	23	creager‐paris	creager‐paris	PROPN
fis-1354	279	24	 	 	SPACE
fis-1354	279	25	(	(	PUNCT
fis-1354	279	26	a=15	a=15	NOUN
fis-1354	279	27	mm	mm	NOUN
fis-1354	279	28	)	)	PUNCT
fis-1354	279	29	fem	fem	PROPN
fis-1354	279	30	 	 	SPACE
fis-1354	279	31	(	(	PUNCT
fis-1354	279	32	a=20	a=20	PROPN
fis-1354	279	33	mm	mm	NOUN
fis-1354	279	34	)	)	PUNCT
fis-1354	279	35	creager‐paris	creager‐paris	PROPN
fis-1354	279	36	 	 	SPACE
fis-1354	279	37	(	(	PUNCT
fis-1354	279	38	a=20	a=20	PROPN
fis-1354	279	39	mm	mm	NOUN
fis-1354	279	40	)	)	PUNCT
fis-1354	279	41	r=0.0	r=0.0	NOUN
fis-1354	279	42	a	a	DET
fis-1354	279	43	)	)	PUNCT
fis-1354	279	44	σy	σy	NOUN
fis-1354	279	45	stress	stress	NOUN
fis-1354	279	46	distribution	distribution	NOUN
fis-1354	279	47	(	(	PUNCT
fis-1354	279	48	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	279	49	,	,	PUNCT
fis-1354	279	50	ρ*=55	ρ*=55	PROPN
fis-1354	279	51	µm	µm	NOUN
fis-1354	279	52	)	)	PUNCT
fis-1354	279	53	.	.	PUNCT
fis-1354	280	1	b	b	X
fis-1354	280	2	)	)	PUNCT
fis-1354	280	3	σx	σx	ADP
fis-1354	280	4	stress	stress	ADJ
fis-1354	280	5	distribution	distribution	NOUN
fis-1354	280	6	(	(	PUNCT
fis-1354	280	7	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	280	8	,	,	PUNCT
fis-1354	280	9	ρ*=55	ρ*=55	PROPN
fis-1354	280	10	µm	µm	NOUN
fis-1354	280	11	)	)	PUNCT
fis-1354	280	12	.	.	PUNCT
fis-1354	281	1	figure	figure	VERB
fis-1354	281	2	11	11	NUM
fis-1354	281	3	:	:	PUNCT
fis-1354	281	4	elastic	elastic	ADJ
fis-1354	281	5	stress	stress	NOUN
fis-1354	281	6	distribution	distribution	NOUN
fis-1354	281	7	ahead	ahead	ADV
fis-1354	281	8	of	of	ADP
fis-1354	281	9	the	the	DET
fis-1354	281	10	crack	crack	NOUN
fis-1354	281	11	tip	tip	NOUN
fis-1354	281	12	and	and	CCONJ
fis-1354	281	13	along	along	ADP
fis-1354	281	14	the	the	DET
fis-1354	281	15	crack	crack	NOUN
fis-1354	281	16	plane	plane	NOUN
fis-1354	281	17	line	line	NOUN
fis-1354	281	18	(	(	PUNCT
fis-1354	281	19	y=0	y=0	NOUN
fis-1354	281	20	)	)	PUNCT
fis-1354	281	21	for	for	ADP
fis-1354	281	22	ct	ct	PROPN
fis-1354	281	23	specimens	specimen	NOUN
fis-1354	281	24	made	make	VERB
fis-1354	281	25	of	of	ADP
fis-1354	281	26	the	the	DET
fis-1354	281	27	s355	s355	PROPN
fis-1354	281	28	steel	steel	NOUN
fis-1354	281	29	:	:	PUNCT
fis-1354	281	30	comparison	comparison	NOUN
fis-1354	281	31	between	between	ADP
fis-1354	281	32	analytical	analytical	ADJ
fis-1354	281	33	and	and	CCONJ
fis-1354	281	34	numerical	numerical	ADJ
fis-1354	281	35	results	result	NOUN
fis-1354	281	36	.	.	PUNCT
fis-1354	282	1	distinct	distinct	ADJ
fis-1354	282	2	crack	crack	NOUN
fis-1354	282	3	sizes	size	NOUN
fis-1354	282	4	considered	consider	VERB
fis-1354	282	5	.	.	PUNCT
fis-1354	283	1	0.0e+00	0.0e+00	PUNCT
fis-1354	283	2	2.0e+08	2.0e+08	NUM
fis-1354	283	3	4.0e+08	4.0e+08	NUM
fis-1354	283	4	6.0e+08	6.0e+08	NUM
fis-1354	283	5	8.0e+08	8.0e+08	NUM
fis-1354	283	6	0.0e+00	0.0e+00	NOUN
fis-1354	284	1	1.0e‐03	1.0e‐03	NUM
fis-1354	284	2	2.0e‐03	2.0e‐03	NUM
fis-1354	285	1	3.0e‐03	3.0e‐03	NUM
fis-1354	286	1	4.0e‐03	4.0e‐03	NOUN
fis-1354	286	2	5.0e‐03	5.0e‐03	NUM
fis-1354	286	3	6.0e‐03	6.0e‐03	NUM
fis-1354	286	4	distance	distance	NOUN
fis-1354	286	5	 	 	SPACE
fis-1354	286	6	from	from	ADP
fis-1354	286	7	 	 	SPACE
fis-1354	286	8	the	the	DET
fis-1354	286	9	 	 	SPACE
fis-1354	286	10	crack	crack	NOUN
fis-1354	286	11	 	 	SPACE
fis-1354	286	12	tip	tip	NOUN
fis-1354	286	13	 	 	SPACE
fis-1354	287	1	[	[	X
fis-1354	287	2	m	m	X
fis-1354	287	3	]	]	X
fis-1354	287	4	el	el	PROPN
fis-1354	287	5	as	as	ADP
fis-1354	287	6	to	to	ADP
fis-1354	287	7	p	p	PROPN
fis-1354	287	8	la	la	PROPN
fis-1354	287	9	st	st	PROPN
fis-1354	287	10	ic	ic	PROPN
fis-1354	287	11	 	 	SPACE
fis-1354	287	12	s	s	PART
fis-1354	287	13	tr	tr	NOUN
fis-1354	287	14	e	e	PROPN
fis-1354	287	15	ss	ss	NOUN
fis-1354	287	16	,	,	PUNCT
fis-1354	287	17	  	  	SPACE
fis-1354	287	18			PROPN
fis-1354	287	19	y	y	NOUN
fis-1354	287	20	  	  	SPACE
fis-1354	288	1	[	[	X
fis-1354	288	2	p	p	X
fis-1354	288	3	a	a	X
fis-1354	288	4	]	]	X
fis-1354	288	5	fem	fem	X
fis-1354	288	6	 	 	SPACE
fis-1354	288	7	(	(	PUNCT
fis-1354	288	8	a=10	a=10	NOUN
fis-1354	288	9	mm	mm	NOUN
fis-1354	288	10	)	)	PUNCT
fis-1354	288	11	neuber	neuber	NOUN
fis-1354	288	12	 	 	SPACE
fis-1354	288	13	(	(	PUNCT
fis-1354	288	14	a=10	a=10	NOUN
fis-1354	288	15	mm	mm	NOUN
fis-1354	288	16	)	)	PUNCT
fis-1354	288	17	fem	fem	NOUN
fis-1354	288	18	 	 	SPACE
fis-1354	288	19	(	(	PUNCT
fis-1354	288	20	a=15	a=15	NOUN
fis-1354	288	21	mm	mm	NOUN
fis-1354	288	22	)	)	PUNCT
fis-1354	288	23	neuber	neuber	NOUN
fis-1354	288	24	 	 	SPACE
fis-1354	288	25	(	(	PUNCT
fis-1354	288	26	a=15	a=15	NOUN
fis-1354	288	27	mm	mm	NOUN
fis-1354	288	28	)	)	PUNCT
fis-1354	288	29	fem	fem	PROPN
fis-1354	288	30	 	 	SPACE
fis-1354	288	31	(	(	PUNCT
fis-1354	288	32	a=20	a=20	PROPN
fis-1354	288	33	mm	mm	NOUN
fis-1354	288	34	)	)	PUNCT
fis-1354	288	35	neuber	neuber	NOUN
fis-1354	288	36	 	 	SPACE
fis-1354	288	37	(	(	PUNCT
fis-1354	288	38	a=20	a=20	PROPN
fis-1354	288	39	mm	mm	NOUN
fis-1354	288	40	)	)	PUNCT
fis-1354	288	41	r=0.0	r=0.0	NOUN
fis-1354	288	42	0.0e+00	0.0e+00	NOUN
fis-1354	288	43	1.0e+08	1.0e+08	NUM
fis-1354	288	44	2.0e+08	2.0e+08	NUM
fis-1354	288	45	3.0e+08	3.0e+08	NUM
fis-1354	288	46	4.0e+08	4.0e+08	NUM
fis-1354	288	47	5.0e+08	5.0e+08	NUM
fis-1354	288	48	0.0e+00	0.0e+00	NUM
fis-1354	289	1	1.0e‐03	1.0e‐03	NUM
fis-1354	289	2	2.0e‐03	2.0e‐03	NUM
fis-1354	290	1	3.0e‐03	3.0e‐03	NUM
fis-1354	291	1	4.0e‐03	4.0e‐03	NOUN
fis-1354	291	2	5.0e‐03	5.0e‐03	NUM
fis-1354	291	3	6.0e‐03	6.0e‐03	NUM
fis-1354	291	4	distance	distance	NOUN
fis-1354	291	5	 	 	SPACE
fis-1354	291	6	from	from	ADP
fis-1354	291	7	 	 	SPACE
fis-1354	291	8	the	the	DET
fis-1354	291	9	 	 	SPACE
fis-1354	291	10	crack	crack	NOUN
fis-1354	291	11	 	 	SPACE
fis-1354	291	12	tip	tip	NOUN
fis-1354	291	13	 	 	SPACE
fis-1354	292	1	[	[	X
fis-1354	292	2	m	m	X
fis-1354	292	3	]	]	X
fis-1354	292	4	el	el	PROPN
fis-1354	292	5	as	as	ADP
fis-1354	292	6	to	to	ADP
fis-1354	292	7	p	p	PROPN
fis-1354	292	8	la	la	PROPN
fis-1354	292	9	st	st	PROPN
fis-1354	292	10	ic	ic	PROPN
fis-1354	292	11	 	 	SPACE
fis-1354	292	12	s	s	PART
fis-1354	292	13	tr	tr	NOUN
fis-1354	292	14	e	e	PROPN
fis-1354	292	15	ss	ss	NOUN
fis-1354	292	16	,	,	PUNCT
fis-1354	292	17	  	  	SPACE
fis-1354	292	18			PROPN
fis-1354	292	19	x	x	PRON
fis-1354	292	20	  	  	SPACE
fis-1354	293	1	[	[	X
fis-1354	293	2	p	p	X
fis-1354	293	3	a	a	X
fis-1354	293	4	]	]	X
fis-1354	293	5	fem	fem	X
fis-1354	293	6	 	 	SPACE
fis-1354	293	7	(	(	PUNCT
fis-1354	293	8	a=10	a=10	NOUN
fis-1354	293	9	mm	mm	NOUN
fis-1354	293	10	)	)	PUNCT
fis-1354	293	11	neuber	neuber	NOUN
fis-1354	293	12	 	 	SPACE
fis-1354	293	13	(	(	PUNCT
fis-1354	293	14	a=10	a=10	NOUN
fis-1354	293	15	mm	mm	NOUN
fis-1354	293	16	)	)	PUNCT
fis-1354	293	17	fem	fem	NOUN
fis-1354	293	18	 	 	SPACE
fis-1354	293	19	(	(	PUNCT
fis-1354	293	20	a=15	a=15	NOUN
fis-1354	293	21	mm	mm	NOUN
fis-1354	293	22	)	)	PUNCT
fis-1354	293	23	neuber	neuber	NOUN
fis-1354	293	24	 	 	SPACE
fis-1354	293	25	(	(	PUNCT
fis-1354	293	26	a=15	a=15	NOUN
fis-1354	293	27	mm	mm	NOUN
fis-1354	293	28	)	)	PUNCT
fis-1354	293	29	fem	fem	PROPN
fis-1354	293	30	 	 	SPACE
fis-1354	293	31	(	(	PUNCT
fis-1354	293	32	a=20	a=20	PROPN
fis-1354	293	33	mm	mm	NOUN
fis-1354	293	34	)	)	PUNCT
fis-1354	293	35	neuber	neuber	NOUN
fis-1354	293	36	 	 	SPACE
fis-1354	293	37	(	(	PUNCT
fis-1354	293	38	a=20	a=20	PROPN
fis-1354	293	39	mm	mm	NOUN
fis-1354	293	40	)	)	PUNCT
fis-1354	293	41	r=0.0	r=0.0	NOUN
fis-1354	293	42	a	a	DET
fis-1354	293	43	)	)	PUNCT
fis-1354	293	44	σy	σy	NOUN
fis-1354	293	45	stress	stress	NOUN
fis-1354	293	46	distribution	distribution	NOUN
fis-1354	293	47	(	(	PUNCT
fis-1354	293	48	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	293	49	,	,	PUNCT
fis-1354	293	50	ρ*=55	ρ*=55	PROPN
fis-1354	293	51	µm	µm	NOUN
fis-1354	293	52	)	)	PUNCT
fis-1354	293	53	.	.	PUNCT
fis-1354	294	1	b	b	X
fis-1354	294	2	)	)	PUNCT
fis-1354	294	3	σx	σx	ADP
fis-1354	294	4	stress	stress	ADJ
fis-1354	294	5	distribution	distribution	NOUN
fis-1354	294	6	(	(	PUNCT
fis-1354	294	7	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	294	8	,	,	PUNCT
fis-1354	294	9	ρ*=55	ρ*=55	PROPN
fis-1354	294	10	µm	µm	NOUN
fis-1354	294	11	)	)	PUNCT
fis-1354	294	12	.	.	PUNCT
fis-1354	295	1	figure	figure	NOUN
fis-1354	295	2	12	12	NUM
fis-1354	295	3	:	:	PUNCT
fis-1354	295	4	elastoplastic	elastoplastic	ADJ
fis-1354	295	5	stress	stress	NOUN
fis-1354	295	6	distribution	distribution	NOUN
fis-1354	295	7	ahead	ahead	ADV
fis-1354	295	8	of	of	ADP
fis-1354	295	9	the	the	DET
fis-1354	295	10	crack	crack	NOUN
fis-1354	295	11	tip	tip	NOUN
fis-1354	295	12	along	along	ADP
fis-1354	295	13	the	the	DET
fis-1354	295	14	crack	crack	NOUN
fis-1354	295	15	plane	plane	NOUN
fis-1354	295	16	line	line	NOUN
fis-1354	295	17	(	(	PUNCT
fis-1354	295	18	y=0	y=0	NOUN
fis-1354	295	19	)	)	PUNCT
fis-1354	295	20	for	for	ADP
fis-1354	295	21	ct	ct	PROPN
fis-1354	295	22	specimens	specimen	NOUN
fis-1354	295	23	made	make	VERB
fis-1354	295	24	of	of	ADP
fis-1354	295	25	s355	s355	PROPN
fis-1354	295	26	steel	steel	NOUN
fis-1354	295	27	:	:	PUNCT
fis-1354	295	28	comparison	comparison	NOUN
fis-1354	295	29	between	between	ADP
fis-1354	295	30	analytical	analytical	ADJ
fis-1354	295	31	and	and	CCONJ
fis-1354	295	32	numerical	numerical	ADJ
fis-1354	295	33	results	result	NOUN
fis-1354	295	34	.	.	PUNCT
fis-1354	296	1	distinct	distinct	ADJ
fis-1354	296	2	crack	crack	NOUN
fis-1354	296	3	sizes	size	NOUN
fis-1354	296	4	considered	consider	VERB
fis-1354	296	5	.	.	PUNCT
fis-1354	297	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	297	2	.	.	PUNCT
fis-1354	297	3	correia	correia	PROPN
fis-1354	297	4	et	et	PROPN
fis-1354	297	5	alii	alii	PROPN
fis-1354	297	6	,	,	PUNCT
fis-1354	297	7	frattura	frattura	PROPN
fis-1354	297	8	ed	ed	PROPN
fis-1354	297	9	integrità	integrità	PROPN
fis-1354	297	10	strutturale	strutturale	PROPN
fis-1354	297	11	,	,	PUNCT
fis-1354	297	12	31	31	NUM
fis-1354	297	13	(	(	PUNCT
fis-1354	297	14	2015	2015	NUM
fis-1354	297	15	)	)	PUNCT
fis-1354	297	16	80	80	NUM
fis-1354	297	17	-	-	SYM
fis-1354	297	18	96	96	NUM
fis-1354	297	19	;	;	PUNCT
fis-1354	297	20	doi	doi	NOUN
fis-1354	297	21	:	:	PUNCT
fis-1354	297	22	10.3221	10.3221	NUM
fis-1354	297	23	/	/	SYM
fis-1354	297	24	igf	igf	PROPN
fis-1354	297	25	-	-	ADJ
fis-1354	297	26	esis.31.07	esis.31.07	NOUN
fis-1354	297	27	91	91	NUM
fis-1354	297	28	the	the	DET
fis-1354	297	29	residual	residual	ADJ
fis-1354	297	30	stress	stress	NOUN
fis-1354	297	31	distributions	distribution	NOUN
fis-1354	297	32	are	be	AUX
fis-1354	297	33	illustrated	illustrate	VERB
fis-1354	297	34	in	in	ADP
fis-1354	297	35	fig	fig	NOUN
fis-1354	297	36	.	.	PUNCT
fis-1354	298	1	13	13	NUM
fis-1354	298	2	,	,	PUNCT
fis-1354	298	3	for	for	ADP
fis-1354	298	4	distinct	distinct	ADJ
fis-1354	298	5	crack	crack	NOUN
fis-1354	298	6	sizes	size	NOUN
fis-1354	298	7	and	and	CCONJ
fis-1354	298	8	stress	stress	VERB
fis-1354	298	9	r	r	NOUN
fis-1354	298	10	-	-	PUNCT
fis-1354	298	11	ratios	ratio	NOUN
fis-1354	298	12	,	,	PUNCT
fis-1354	298	13	for	for	ADP
fis-1354	298	14	the	the	DET
fis-1354	298	15	ct	ct	PROPN
fis-1354	298	16	specimens	specimen	NOUN
fis-1354	298	17	made	make	VERB
fis-1354	298	18	of	of	ADP
fis-1354	298	19	s355	s355	PROPN
fis-1354	298	20	steel	steel	NOUN
fis-1354	298	21	and	and	CCONJ
fis-1354	298	22	assuming	assume	VERB
fis-1354	298	23	ρ*=5.5×10	ρ*=5.5×10	NUM
fis-1354	298	24	-	-	SYM
fis-1354	298	25	5	5	NUM
fis-1354	298	26	m.	m.	NOUN
fis-1354	298	27	these	these	DET
fis-1354	298	28	residual	residual	ADJ
fis-1354	298	29	stresses	stress	NOUN
fis-1354	298	30	were	be	AUX
fis-1354	298	31	computed	compute	VERB
fis-1354	298	32	using	use	VERB
fis-1354	298	33	both	both	CCONJ
fis-1354	298	34	analytical	analytical	ADJ
fis-1354	298	35	and	and	CCONJ
fis-1354	298	36	numerical	numerical	ADJ
fis-1354	298	37	solutions	solution	NOUN
fis-1354	298	38	.	.	PUNCT
fis-1354	299	1	‐5.0e+08	‐5.0e+08	NUM
fis-1354	299	2	‐4.0e+08	‐4.0e+08	NUM
fis-1354	299	3	‐3.0e+08	‐3.0e+08	NUM
fis-1354	299	4	‐2.0e+08	‐2.0e+08	NUM
fis-1354	299	5	‐1.0e+08	‐1.0e+08	PROPN
fis-1354	299	6	0.0e+00	0.0e+00	NUM
fis-1354	299	7	1.0e+08	1.0e+08	NUM
fis-1354	299	8	2.0e+08	2.0e+08	NUM
fis-1354	299	9	0.0e+00	0.0e+00	NUM
fis-1354	299	10	5.0e‐04	5.0e‐04	INTJ
fis-1354	300	1	1.0e‐03	1.0e‐03	NUM
fis-1354	300	2	1.5e‐03	1.5e‐03	NUM
fis-1354	301	1	2.0e‐03	2.0e‐03	NUM
fis-1354	302	1	2.5e‐03	2.5e‐03	ADJ
fis-1354	302	2	3.0e‐03	3.0e‐03	NUM
fis-1354	302	3	distance	distance	NOUN
fis-1354	302	4	 	 	SPACE
fis-1354	302	5	from	from	ADP
fis-1354	302	6	 	 	SPACE
fis-1354	302	7	the	the	DET
fis-1354	302	8	 	 	SPACE
fis-1354	302	9	crack	crack	NOUN
fis-1354	302	10	 	 	SPACE
fis-1354	302	11	tip	tip	NOUN
fis-1354	302	12	 	 	SPACE
fis-1354	303	1	[	[	X
fis-1354	303	2	m	m	X
fis-1354	303	3	]	]	X
fis-1354	303	4			X
fis-1354	303	5	re	re	X
fis-1354	303	6	si	si	PROPN
fis-1354	303	7	d	d	PROPN
fis-1354	303	8	u	u	PROPN
fis-1354	303	9	al	al	PROPN
fis-1354	303	10	 	 	SPACE
fis-1354	303	11	[	[	PUNCT
fis-1354	303	12	p	p	X
fis-1354	303	13	a	a	X
fis-1354	303	14	]	]	X
fis-1354	303	15	fem	fem	X
fis-1354	303	16	 	 	SPACE
fis-1354	303	17	(	(	PUNCT
fis-1354	303	18	a=10	a=10	NOUN
fis-1354	303	19	mm	mm	NOUN
fis-1354	303	20	)	)	PUNCT
fis-1354	303	21	neuber	neuber	NOUN
fis-1354	303	22	 	 	SPACE
fis-1354	303	23	(	(	PUNCT
fis-1354	303	24	a=10	a=10	NOUN
fis-1354	303	25	mm	mm	NOUN
fis-1354	303	26	)	)	PUNCT
fis-1354	303	27	fem	fem	NOUN
fis-1354	303	28	 	 	SPACE
fis-1354	303	29	(	(	PUNCT
fis-1354	303	30	a=15	a=15	NOUN
fis-1354	303	31	mm	mm	NOUN
fis-1354	303	32	)	)	PUNCT
fis-1354	303	33	neuber	neuber	NOUN
fis-1354	303	34	 	 	SPACE
fis-1354	303	35	(	(	PUNCT
fis-1354	303	36	a=15	a=15	NOUN
fis-1354	303	37	mm	mm	NOUN
fis-1354	303	38	)	)	PUNCT
fis-1354	303	39	fem	fem	PROPN
fis-1354	303	40	 	 	SPACE
fis-1354	303	41	(	(	PUNCT
fis-1354	303	42	a=20	a=20	PROPN
fis-1354	303	43	mm	mm	NOUN
fis-1354	303	44	)	)	PUNCT
fis-1354	303	45	neuber	neuber	NOUN
fis-1354	303	46	 	 	SPACE
fis-1354	303	47	(	(	PUNCT
fis-1354	303	48	a=20	a=20	PROPN
fis-1354	303	49	mm	mm	NOUN
fis-1354	303	50	)	)	PUNCT
fis-1354	303	51	r=0.0	r=0.0	NOUN
fis-1354	303	52	‐5.0e+08	‐5.0e+08	ADP
fis-1354	303	53	‐4.0e+08	‐4.0e+08	NUM
fis-1354	303	54	‐3.0e+08	‐3.0e+08	NUM
fis-1354	304	1	‐2.0e+08	‐2.0e+08	NUM
fis-1354	304	2	‐1.0e+08	‐1.0e+08	PROPN
fis-1354	304	3	0.0e+00	0.0e+00	NUM
fis-1354	304	4	1.0e+08	1.0e+08	NUM
fis-1354	304	5	2.0e+08	2.0e+08	NUM
fis-1354	304	6	0.0e+00	0.0e+00	NUM
fis-1354	305	1	5.0e‐04	5.0e‐04	INTJ
fis-1354	306	1	1.0e‐03	1.0e‐03	NUM
fis-1354	306	2	1.5e‐03	1.5e‐03	NUM
fis-1354	307	1	2.0e‐03	2.0e‐03	NUM
fis-1354	308	1	2.5e‐03	2.5e‐03	ADJ
fis-1354	308	2	3.0e‐03	3.0e‐03	NUM
fis-1354	308	3	distance	distance	NOUN
fis-1354	308	4	 	 	SPACE
fis-1354	308	5	from	from	ADP
fis-1354	308	6	 	 	SPACE
fis-1354	308	7	the	the	DET
fis-1354	308	8	 	 	SPACE
fis-1354	308	9	crack	crack	NOUN
fis-1354	308	10	 	 	SPACE
fis-1354	308	11	tip	tip	NOUN
fis-1354	308	12	 	 	SPACE
fis-1354	309	1	[	[	X
fis-1354	309	2	m	m	X
fis-1354	309	3	]	]	X
fis-1354	309	4			X
fis-1354	309	5	re	re	X
fis-1354	309	6	si	si	PROPN
fis-1354	309	7	d	d	PROPN
fis-1354	309	8	u	u	PROPN
fis-1354	309	9	al	al	PROPN
fis-1354	309	10	 	 	SPACE
fis-1354	309	11	[	[	PUNCT
fis-1354	309	12	p	p	X
fis-1354	309	13	a	a	X
fis-1354	309	14	]	]	X
fis-1354	309	15	fem	fem	X
fis-1354	309	16	 	 	SPACE
fis-1354	309	17	(	(	PUNCT
fis-1354	309	18	a=10	a=10	NOUN
fis-1354	309	19	mm	mm	NOUN
fis-1354	309	20	)	)	PUNCT
fis-1354	309	21	neuber	neuber	NOUN
fis-1354	309	22	 	 	SPACE
fis-1354	309	23	(	(	PUNCT
fis-1354	309	24	a=10	a=10	NOUN
fis-1354	309	25	mm	mm	NOUN
fis-1354	309	26	)	)	PUNCT
fis-1354	309	27	fem	fem	NOUN
fis-1354	309	28	 	 	SPACE
fis-1354	309	29	(	(	PUNCT
fis-1354	309	30	a=15	a=15	NOUN
fis-1354	309	31	mm	mm	NOUN
fis-1354	309	32	)	)	PUNCT
fis-1354	309	33	neuber	neuber	NOUN
fis-1354	309	34	 	 	SPACE
fis-1354	309	35	(	(	PUNCT
fis-1354	309	36	a=15	a=15	NOUN
fis-1354	309	37	mm	mm	NOUN
fis-1354	309	38	)	)	PUNCT
fis-1354	309	39	fem	fem	PROPN
fis-1354	309	40	 	 	SPACE
fis-1354	309	41	(	(	PUNCT
fis-1354	309	42	a=20	a=20	PROPN
fis-1354	309	43	mm	mm	NOUN
fis-1354	309	44	)	)	PUNCT
fis-1354	309	45	neuber	neuber	NOUN
fis-1354	309	46	 	 	SPACE
fis-1354	309	47	(	(	PUNCT
fis-1354	309	48	a=20	a=20	PROPN
fis-1354	309	49	mm	mm	NOUN
fis-1354	309	50	)	)	PUNCT
fis-1354	309	51	r=0.25	r=0.25	NOUN
fis-1354	309	52	a	a	PRON
fis-1354	309	53	)	)	PUNCT
fis-1354	309	54	rσ=0.0	rσ=0.0	NOUN
fis-1354	309	55	(	(	PUNCT
fis-1354	309	56	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	309	57	,	,	PUNCT
fis-1354	309	58	ρ*=55	ρ*=55	PROPN
fis-1354	309	59	µm	µm	NOUN
fis-1354	309	60	)	)	PUNCT
fis-1354	309	61	.	.	PUNCT
fis-1354	310	1	b	b	X
fis-1354	310	2	)	)	PUNCT
fis-1354	310	3	rσ=0.25	rσ=0.25	NOUN
fis-1354	310	4	(	(	PUNCT
fis-1354	310	5	fmax=7185.5n	fmax=7185.5n	PROPN
fis-1354	310	6	,	,	PUNCT
fis-1354	310	7	ρ*=55	ρ*=55	NOUN
fis-1354	310	8	µm	µm	NOUN
fis-1354	310	9	)	)	PUNCT
fis-1354	310	10	.	.	PUNCT
fis-1354	311	1	‐5.0e+08	‐5.0e+08	NUM
fis-1354	311	2	‐4.0e+08	‐4.0e+08	NUM
fis-1354	311	3	‐3.0e+08	‐3.0e+08	NUM
fis-1354	312	1	‐2.0e+08	‐2.0e+08	NUM
fis-1354	312	2	‐1.0e+08	‐1.0e+08	PROPN
fis-1354	312	3	0.0e+00	0.0e+00	NUM
fis-1354	312	4	1.0e+08	1.0e+08	NUM
fis-1354	312	5	2.0e+08	2.0e+08	NUM
fis-1354	312	6	3.0e+08	3.0e+08	NUM
fis-1354	312	7	0.0e+00	0.0e+00	NUM
fis-1354	313	1	1.0e‐03	1.0e‐03	NOUN
fis-1354	313	2	2.0e‐03	2.0e‐03	NUM
fis-1354	314	1	3.0e‐03	3.0e‐03	NUM
fis-1354	315	1	4.0e‐03	4.0e‐03	NOUN
fis-1354	315	2	5.0e‐03	5.0e‐03	NUM
fis-1354	315	3	6.0e‐03	6.0e‐03	NUM
fis-1354	315	4	distance	distance	NOUN
fis-1354	315	5	 	 	SPACE
fis-1354	315	6	from	from	ADP
fis-1354	315	7	 	 	SPACE
fis-1354	315	8	the	the	DET
fis-1354	315	9	 	 	SPACE
fis-1354	315	10	crack	crack	NOUN
fis-1354	315	11	 	 	SPACE
fis-1354	315	12	tip	tip	NOUN
fis-1354	315	13	 	 	SPACE
fis-1354	316	1	[	[	X
fis-1354	316	2	m	m	X
fis-1354	316	3	]	]	X
fis-1354	316	4			X
fis-1354	316	5	re	re	X
fis-1354	316	6	si	si	PROPN
fis-1354	316	7	d	d	PROPN
fis-1354	316	8	u	u	PROPN
fis-1354	316	9	al	al	PROPN
fis-1354	316	10	 	 	SPACE
fis-1354	316	11	[	[	PUNCT
fis-1354	316	12	p	p	X
fis-1354	316	13	a	a	X
fis-1354	316	14	]	]	X
fis-1354	316	15	fem	fem	X
fis-1354	316	16	 	 	SPACE
fis-1354	316	17	(	(	PUNCT
fis-1354	316	18	a=10	a=10	NOUN
fis-1354	316	19	mm	mm	NOUN
fis-1354	316	20	)	)	PUNCT
fis-1354	316	21	neuber	neuber	NOUN
fis-1354	316	22	 	 	SPACE
fis-1354	316	23	(	(	PUNCT
fis-1354	316	24	a=10	a=10	NOUN
fis-1354	316	25	mm	mm	NOUN
fis-1354	316	26	)	)	PUNCT
fis-1354	316	27	fem	fem	NOUN
fis-1354	316	28	 	 	SPACE
fis-1354	316	29	(	(	PUNCT
fis-1354	316	30	a=15	a=15	NOUN
fis-1354	316	31	mm	mm	NOUN
fis-1354	316	32	)	)	PUNCT
fis-1354	316	33	neuber	neuber	NOUN
fis-1354	316	34	 	 	SPACE
fis-1354	316	35	(	(	PUNCT
fis-1354	316	36	a=15	a=15	NOUN
fis-1354	316	37	mm	mm	NOUN
fis-1354	316	38	)	)	PUNCT
fis-1354	316	39	fem	fem	PROPN
fis-1354	316	40	 	 	SPACE
fis-1354	316	41	(	(	PUNCT
fis-1354	316	42	a=20	a=20	PROPN
fis-1354	316	43	mm	mm	NOUN
fis-1354	316	44	)	)	PUNCT
fis-1354	316	45	neuber	neuber	NOUN
fis-1354	316	46	 	 	SPACE
fis-1354	316	47	(	(	PUNCT
fis-1354	316	48	a=20	a=20	PROPN
fis-1354	316	49	mm	mm	NOUN
fis-1354	316	50	)	)	PUNCT
fis-1354	316	51	r=0.5	r=0.5	VERB
fis-1354	316	52	c	c	NOUN
fis-1354	316	53	)	)	PUNCT
fis-1354	316	54	rσ=0.5	rσ=0.5	NOUN
fis-1354	316	55	(	(	PUNCT
fis-1354	316	56	fmax=10778.2n	fmax=10778.2n	PROPN
fis-1354	316	57	,	,	PUNCT
fis-1354	316	58	ρ*=55	ρ*=55	PROPN
fis-1354	316	59	µm	µm	NOUN
fis-1354	316	60	)	)	PUNCT
fis-1354	316	61	.	.	PUNCT
fis-1354	317	1	figure	figure	VERB
fis-1354	317	2	13	13	NUM
fis-1354	317	3	:	:	PUNCT
fis-1354	317	4	residual	residual	ADJ
fis-1354	317	5	stress	stress	NOUN
fis-1354	317	6	distribution	distribution	NOUN
fis-1354	317	7	ahead	ahead	ADV
fis-1354	317	8	of	of	ADP
fis-1354	317	9	the	the	DET
fis-1354	317	10	crack	crack	NOUN
fis-1354	317	11	tip	tip	NOUN
fis-1354	317	12	along	along	ADP
fis-1354	317	13	the	the	DET
fis-1354	317	14	crack	crack	NOUN
fis-1354	317	15	plane	plane	NOUN
fis-1354	317	16	line	line	NOUN
fis-1354	317	17	(	(	PUNCT
fis-1354	317	18	y=0	y=0	NOUN
fis-1354	317	19	)	)	PUNCT
fis-1354	317	20	for	for	ADP
fis-1354	317	21	ct	ct	PROPN
fis-1354	317	22	specimens	specimen	NOUN
fis-1354	317	23	made	make	VERB
fis-1354	317	24	of	of	ADP
fis-1354	317	25	s355	s355	PROPN
fis-1354	317	26	steel	steel	NOUN
fis-1354	317	27	:	:	PUNCT
fis-1354	317	28	comparison	comparison	NOUN
fis-1354	317	29	between	between	ADP
fis-1354	317	30	analytical	analytical	ADJ
fis-1354	317	31	and	and	CCONJ
fis-1354	317	32	numerical	numerical	ADJ
fis-1354	317	33	results	result	NOUN
fis-1354	317	34	.	.	PUNCT
fis-1354	318	1	distinct	distinct	ADJ
fis-1354	318	2	stress	stress	NOUN
fis-1354	318	3	ratios	ratio	NOUN
fis-1354	318	4	and	and	CCONJ
fis-1354	318	5	crack	crack	VERB
fis-1354	318	6	sizes	size	NOUN
fis-1354	318	7	considered	consider	VERB
fis-1354	318	8	.	.	PUNCT
fis-1354	319	1	a	a	DET
fis-1354	319	2	)	)	PUNCT
fis-1354	319	3	stress	stress	NOUN
fis-1354	319	4	field	field	NOUN
fis-1354	319	5	,	,	PUNCT
fis-1354	319	6	in	in	ADP
fis-1354	319	7	mpa	mpa	PROPN
fis-1354	319	8	,	,	PUNCT
fis-1354	319	9	at	at	ADP
fis-1354	319	10	the	the	DET
fis-1354	319	11	end	end	NOUN
fis-1354	319	12	of	of	ADP
fis-1354	319	13	the	the	DET
fis-1354	319	14	1st	1st	ADJ
fis-1354	319	15	loading	loading	NOUN
fis-1354	319	16	reversal	reversal	NOUN
fis-1354	319	17	.	.	PUNCT
fis-1354	320	1	b	b	X
fis-1354	320	2	)	)	PUNCT
fis-1354	320	3	stress	stress	NOUN
fis-1354	320	4	field	field	NOUN
fis-1354	320	5	,	,	PUNCT
fis-1354	320	6	in	in	ADP
fis-1354	320	7	mpa	mpa	PROPN
fis-1354	320	8	,	,	PUNCT
fis-1354	320	9	at	at	ADP
fis-1354	320	10	the	the	DET
fis-1354	320	11	end	end	NOUN
fis-1354	320	12	of	of	ADP
fis-1354	320	13	the	the	DET
fis-1354	320	14	1st	1st	ADJ
fis-1354	320	15	unloading	unloading	NOUN
fis-1354	320	16	reversal	reversal	NOUN
fis-1354	320	17	.	.	PUNCT
fis-1354	321	1	c	c	X
fis-1354	321	2	)	)	PUNCT
fis-1354	321	3	strain	strain	NOUN
fis-1354	321	4	field	field	NOUN
fis-1354	321	5	at	at	ADP
fis-1354	321	6	the	the	DET
fis-1354	321	7	end	end	NOUN
fis-1354	321	8	of	of	ADP
fis-1354	321	9	the	the	DET
fis-1354	321	10	1st	1st	ADJ
fis-1354	321	11	loading	loading	NOUN
fis-1354	321	12	reversal	reversal	NOUN
fis-1354	321	13	.	.	PUNCT
fis-1354	322	1	d	d	X
fis-1354	322	2	)	)	PUNCT
fis-1354	322	3	strain	strain	NOUN
fis-1354	322	4	field	field	NOUN
fis-1354	322	5	at	at	ADP
fis-1354	322	6	the	the	DET
fis-1354	322	7	end	end	NOUN
fis-1354	322	8	of	of	ADP
fis-1354	322	9	the	the	DET
fis-1354	322	10	1st	1st	ADJ
fis-1354	322	11	unloading	unloading	NOUN
fis-1354	322	12	reversal	reversal	NOUN
fis-1354	322	13	.	.	PUNCT
fis-1354	323	1	figure	figure	NOUN
fis-1354	323	2	14	14	NUM
fis-1354	323	3	:	:	PUNCT
fis-1354	323	4	stress	stress	NOUN
fis-1354	323	5	and	and	CCONJ
fis-1354	323	6	strain	strain	ADJ
fis-1354	323	7	fields	field	NOUN
fis-1354	323	8	,	,	PUNCT
fis-1354	323	9	along	along	ADP
fis-1354	323	10	the	the	DET
fis-1354	323	11	load	load	NOUN
fis-1354	323	12	direction	direction	NOUN
fis-1354	323	13	,	,	PUNCT
fis-1354	323	14	obtained	obtain	VERB
fis-1354	323	15	for	for	ADP
fis-1354	323	16	the	the	DET
fis-1354	323	17	ct	ct	PROPN
fis-1354	323	18	specimens	specimen	NOUN
fis-1354	323	19	made	make	VERB
fis-1354	323	20	of	of	ADP
fis-1354	323	21	s355	s355	PROPN
fis-1354	323	22	steel	steel	NOUN
fis-1354	323	23	,	,	PUNCT
fis-1354	323	24	resulting	result	VERB
fis-1354	323	25	from	from	ADP
fis-1354	323	26	elastoplastic	elastoplastic	ADJ
fis-1354	323	27	finite	finite	PROPN
fis-1354	323	28	element	element	NOUN
fis-1354	323	29	analysis	analysis	NOUN
fis-1354	323	30	(	(	PUNCT
fis-1354	323	31	ρ*=55	ρ*=55	NOUN
fis-1354	323	32	µm	µm	NOUN
fis-1354	323	33	,	,	PUNCT
fis-1354	323	34	a=15	a=15	PROPN
fis-1354	323	35	mm	mm	PROPN
fis-1354	323	36	,	,	PUNCT
fis-1354	323	37	rσ=0.0	rσ=0.0	NOUN
fis-1354	323	38	,	,	PUNCT
fis-1354	323	39	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	323	40	)	)	PUNCT
fis-1354	323	41	.	.	PUNCT
fis-1354	324	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	324	2	.	.	PUNCT
fis-1354	324	3	correia	correia	PROPN
fis-1354	324	4	et	et	PROPN
fis-1354	324	5	alii	alii	PROPN
fis-1354	324	6	,	,	PUNCT
fis-1354	324	7	frattura	frattura	PROPN
fis-1354	324	8	ed	ed	PROPN
fis-1354	324	9	integrità	integrità	PROPN
fis-1354	324	10	strutturale	strutturale	PROPN
fis-1354	324	11	,	,	PUNCT
fis-1354	324	12	31	31	NUM
fis-1354	324	13	(	(	PUNCT
fis-1354	324	14	2015	2015	NUM
fis-1354	324	15	)	)	PUNCT
fis-1354	324	16	80	80	NUM
fis-1354	324	17	-	-	SYM
fis-1354	324	18	96	96	NUM
fis-1354	324	19	;	;	PUNCT
fis-1354	324	20	doi	doi	NOUN
fis-1354	324	21	:	:	PUNCT
fis-1354	324	22	10.3221	10.3221	NUM
fis-1354	324	23	/	/	SYM
fis-1354	324	24	igf	igf	PROPN
fis-1354	324	25	-	-	ADJ
fis-1354	324	26	esis.31.07	esis.31.07	PROPN
fis-1354	324	27	92	92	NUM
fis-1354	324	28	the	the	DET
fis-1354	324	29	stress	stress	NOUN
fis-1354	324	30	and	and	CCONJ
fis-1354	324	31	strain	strain	VERB
fis-1354	324	32	fields	field	NOUN
fis-1354	324	33	along	along	ADP
fis-1354	324	34	the	the	DET
fis-1354	324	35	y	y	PROPN
fis-1354	324	36	(	(	PUNCT
fis-1354	324	37	load	load	NOUN
fis-1354	324	38	)	)	PUNCT
fis-1354	324	39	direction	direction	NOUN
fis-1354	324	40	assuming	assume	VERB
fis-1354	324	41	a	a	DET
fis-1354	324	42	material	material	NOUN
fis-1354	324	43	representative	representative	NOUN
fis-1354	324	44	element	element	NOUN
fis-1354	324	45	of	of	ADP
fis-1354	324	46	ρ*=55	ρ*=55	PROPN
fis-1354	324	47	µm	µm	NOUN
fis-1354	324	48	,	,	PUNCT
fis-1354	324	49	a	a	DET
fis-1354	324	50	crack	crack	NOUN
fis-1354	324	51	size	size	NOUN
fis-1354	324	52	a=15	a=15	NOUN
fis-1354	324	53	mm	mm	PROPN
fis-1354	324	54	,	,	PUNCT
fis-1354	324	55	a	a	DET
fis-1354	324	56	maximum	maximum	ADJ
fis-1354	324	57	load	load	NOUN
fis-1354	324	58	fmax=5443.5n	fmax=5443.5n	PROPN
fis-1354	324	59	,	,	PUNCT
fis-1354	324	60	and	and	CCONJ
fis-1354	324	61	a	a	DET
fis-1354	324	62	stress	stress	NOUN
fis-1354	324	63	r	r	NOUN
fis-1354	324	64	-	-	PUNCT
fis-1354	324	65	ratio	ratio	NOUN
fis-1354	324	66	,	,	PUNCT
fis-1354	324	67	rσ=0.0	rσ=0.0	NOUN
fis-1354	324	68	,	,	PUNCT
fis-1354	324	69	obtained	obtain	VERB
fis-1354	324	70	for	for	ADP
fis-1354	324	71	the	the	DET
fis-1354	324	72	ct	ct	PROPN
fis-1354	324	73	specimens	specimen	NOUN
fis-1354	324	74	using	use	VERB
fis-1354	324	75	the	the	DET
fis-1354	324	76	elastoplastic	elastoplastic	ADJ
fis-1354	324	77	finite	finite	ADJ
fis-1354	324	78	element	element	NOUN
fis-1354	324	79	analysis	analysis	NOUN
fis-1354	324	80	,	,	PUNCT
fis-1354	324	81	are	be	AUX
fis-1354	324	82	illustrated	illustrate	VERB
fis-1354	324	83	in	in	ADP
fis-1354	324	84	fig	fig	NOUN
fis-1354	324	85	.	.	PUNCT
fis-1354	325	1	14	14	NUM
fis-1354	325	2	.	.	PUNCT
fis-1354	326	1	it	it	PRON
fis-1354	326	2	is	be	AUX
fis-1354	326	3	clear	clear	ADJ
fis-1354	326	4	the	the	DET
fis-1354	326	5	compressive	compressive	ADJ
fis-1354	326	6	stress	stress	NOUN
fis-1354	326	7	field	field	NOUN
fis-1354	326	8	at	at	ADP
fis-1354	326	9	the	the	DET
fis-1354	326	10	crack	crack	NOUN
fis-1354	326	11	tip	tip	NOUN
fis-1354	326	12	vicinity	vicinity	NOUN
fis-1354	326	13	and	and	CCONJ
fis-1354	326	14	at	at	ADP
fis-1354	326	15	some	some	DET
fis-1354	326	16	extension	extension	NOUN
fis-1354	326	17	of	of	ADP
fis-1354	326	18	the	the	DET
fis-1354	326	19	crack	crack	NOUN
fis-1354	326	20	wake	wake	NOUN
fis-1354	326	21	.	.	PUNCT
fis-1354	327	1	the	the	DET
fis-1354	327	2	stress	stress	NOUN
fis-1354	327	3	and	and	CCONJ
fis-1354	327	4	strain	strain	NOUN
fis-1354	327	5	fields	field	NOUN
fis-1354	327	6	are	be	AUX
fis-1354	327	7	shown	show	VERB
fis-1354	327	8	at	at	ADP
fis-1354	327	9	the	the	DET
fis-1354	327	10	end	end	NOUN
fis-1354	327	11	of	of	ADP
fis-1354	327	12	the	the	DET
fis-1354	327	13	first	first	ADJ
fis-1354	327	14	loading	loading	NOUN
fis-1354	327	15	reversal	reversal	NOUN
fis-1354	327	16	and	and	CCONJ
fis-1354	327	17	at	at	ADP
fis-1354	327	18	the	the	DET
fis-1354	327	19	end	end	NOUN
fis-1354	327	20	of	of	ADP
fis-1354	327	21	the	the	DET
fis-1354	327	22	unloading	unloading	NOUN
fis-1354	327	23	reversal	reversal	NOUN
fis-1354	327	24	.	.	PUNCT
fis-1354	328	1	fig	fig	NOUN
fis-1354	328	2	.	.	PUNCT
fis-1354	329	1	15	15	NUM
fis-1354	329	2	presents	present	VERB
fis-1354	329	3	the	the	DET
fis-1354	329	4	residual	residual	ADJ
fis-1354	329	5	stress	stress	NOUN
fis-1354	329	6	intensity	intensity	NOUN
fis-1354	329	7	factor	factor	NOUN
fis-1354	329	8	as	as	ADP
fis-1354	329	9	a	a	DET
fis-1354	329	10	function	function	NOUN
fis-1354	329	11	of	of	ADP
fis-1354	329	12	the	the	DET
fis-1354	329	13	applied	apply	VERB
fis-1354	329	14	stress	stress	NOUN
fis-1354	329	15	intensity	intensity	NOUN
fis-1354	329	16	factor	factor	NOUN
fis-1354	329	17	range	range	NOUN
fis-1354	329	18	obtained	obtain	VERB
fis-1354	329	19	for	for	ADP
fis-1354	329	20	the	the	DET
fis-1354	329	21	ct	ct	PROPN
fis-1354	329	22	specimens	specimen	NOUN
fis-1354	329	23	made	make	VERB
fis-1354	329	24	of	of	ADP
fis-1354	329	25	s355	s355	PROPN
fis-1354	329	26	steel	steel	NOUN
fis-1354	329	27	,	,	PUNCT
fis-1354	329	28	using	use	VERB
fis-1354	329	29	the	the	DET
fis-1354	329	30	numerical	numerical	ADJ
fis-1354	329	31	analysis	analysis	NOUN
fis-1354	329	32	.	.	PUNCT
fis-1354	330	1	kresidual	kresidual	PROPN
fis-1354	330	2	 	 	SPACE
fis-1354	330	3	=	=	NOUN
fis-1354	330	4	 	 	SPACE
fis-1354	330	5	‐0.3935kapplied	‐0.3935kapplie	VERB
fis-1354	330	6	 	 	SPACE
fis-1354	330	7	+	+	ADJ
fis-1354	330	8	 	 	SPACE
fis-1354	330	9	94.978	94.978	NUM
fis-1354	330	10	r	r	NOUN
fis-1354	330	11	2	2	NUM
fis-1354	330	12	 	 	SPACE
fis-1354	330	13	=	=	NOUN
fis-1354	330	14	 	 	SPACE
fis-1354	330	15	0.9987	0.9987	NUM
fis-1354	330	16	kresidual	kresidual	NOUN
fis-1354	330	17	 	 	SPACE
fis-1354	330	18	=	=	NOUN
fis-1354	330	19	 	 	SPACE
fis-1354	330	20	‐0.3264kapplied	‐0.3264kapplie	VERB
fis-1354	330	21	 	 	SPACE
fis-1354	330	22	+	+	ADJ
fis-1354	330	23	 	 	SPACE
fis-1354	330	24	83.854	83.854	NUM
fis-1354	330	25	r	r	NOUN
fis-1354	330	26	2	2	NUM
fis-1354	330	27	 	 	SPACE
fis-1354	330	28	=	=	NOUN
fis-1354	330	29	 	 	SPACE
fis-1354	330	30	0.9994	0.9994	NUM
fis-1354	330	31	kresidual	kresidual	NOUN
fis-1354	330	32	 	 	SPACE
fis-1354	330	33	=	=	SYM
fis-1354	330	34	 	 	SPACE
fis-1354	330	35	‐0.2212kapplied	‐0.2212kapplied	ADJ
fis-1354	330	36	 	 	SPACE
fis-1354	330	37	+	+	NOUN
fis-1354	330	38	 	 	SPACE
fis-1354	330	39	49.136	49.136	NUM
fis-1354	330	40	r	r	NOUN
fis-1354	330	41	2	2	NUM
fis-1354	330	42	 	 	SPACE
fis-1354	330	43	=	=	NOUN
fis-1354	330	44	 	 	SPACE
fis-1354	330	45	0.9999	0.9999	NUM
fis-1354	330	46	‐500	‐500	NOUN
fis-1354	330	47	‐400	‐400	NOUN
fis-1354	330	48	‐300	‐300	NOUN
fis-1354	330	49	‐200	‐200	ADP
fis-1354	330	50	‐100	‐100	PROPN
fis-1354	330	51	0	0	NUM
fis-1354	330	52	0	0	NUM
fis-1354	330	53	200	200	NUM
fis-1354	330	54	400	400	NUM
fis-1354	330	55	600	600	NUM
fis-1354	330	56	800	800	NUM
fis-1354	330	57	1000	1000	NUM
fis-1354	330	58	1200	1200	NUM
fis-1354	330	59	1400	1400	NUM
fis-1354	330	60	kapplied	kapplie	VERB
fis-1354	330	61	[	[	PUNCT
fis-1354	330	62	n.mm	n.mm	NOUN
fis-1354	330	63	‐1.5	‐1.5	NOUN
fis-1354	330	64	]	]	X
fis-1354	330	65	k	k	X
fis-1354	330	66	re	re	X
fis-1354	330	67	si	si	PROPN
fis-1354	330	68	d	d	PROPN
fis-1354	330	69	u	u	PROPN
fis-1354	330	70	al	al	PROPN
fis-1354	330	71	 	 	SPACE
fis-1354	330	72	[	[	PUNCT
fis-1354	330	73	n	n	NOUN
fis-1354	330	74	.m	.m	NOUN
fis-1354	330	75	m	m	VERB
fis-1354	330	76	‐1	‐1	NUM
fis-1354	330	77	.5	.5	NUM
fis-1354	330	78	]	]	PUNCT
fis-1354	330	79	r=0.0	r=0.0	ADJ
fis-1354	330	80	r=0.25	r=0.25	NOUN
fis-1354	330	81	r=0.5	r=0.5	NOUN
fis-1354	330	82	figure	figure	NOUN
fis-1354	330	83	15	15	NUM
fis-1354	330	84	:	:	PUNCT
fis-1354	330	85	residual	residual	ADJ
fis-1354	330	86	stress	stress	NOUN
fis-1354	330	87	intensity	intensity	NOUN
fis-1354	330	88	factor	factor	NOUN
fis-1354	330	89	as	as	ADP
fis-1354	330	90	a	a	DET
fis-1354	330	91	function	function	NOUN
fis-1354	330	92	of	of	ADP
fis-1354	330	93	the	the	DET
fis-1354	330	94	applied	apply	VERB
fis-1354	330	95	stress	stress	NOUN
fis-1354	330	96	intensity	intensity	NOUN
fis-1354	330	97	factor	factor	NOUN
fis-1354	330	98	range	range	NOUN
fis-1354	330	99	obtained	obtain	VERB
fis-1354	330	100	for	for	ADP
fis-1354	330	101	the	the	DET
fis-1354	330	102	s355	s355	PROPN
fis-1354	330	103	steel	steel	NOUN
fis-1354	330	104	(	(	PUNCT
fis-1354	330	105	ρ*=5.5×10	ρ*=5.5×10	NOUN
fis-1354	330	106	-	-	SYM
fis-1354	330	107	5	5	NUM
fis-1354	330	108	m	m	NOUN
fis-1354	330	109	)	)	PUNCT
fis-1354	330	110	.	.	PUNCT
fis-1354	331	1	the	the	DET
fis-1354	331	2	elastic	elastic	ADJ
fis-1354	331	3	stress	stress	NOUN
fis-1354	331	4	distributions	distribution	NOUN
fis-1354	331	5	presented	present	VERB
fis-1354	331	6	a	a	DET
fis-1354	331	7	satisfactory	satisfactory	ADJ
fis-1354	331	8	agreement	agreement	NOUN
fis-1354	331	9	between	between	ADP
fis-1354	331	10	the	the	DET
fis-1354	331	11	analytical	analytical	ADJ
fis-1354	331	12	and	and	CCONJ
fis-1354	331	13	numerical	numerical	ADJ
fis-1354	331	14	results	result	NOUN
fis-1354	331	15	,	,	PUNCT
fis-1354	331	16	for	for	ADP
fis-1354	331	17	several	several	ADJ
fis-1354	331	18	crack	crack	NOUN
fis-1354	331	19	sizes	size	NOUN
fis-1354	331	20	(	(	PUNCT
fis-1354	331	21	measured	measure	VERB
fis-1354	331	22	from	from	ADP
fis-1354	331	23	loading	loading	NOUN
fis-1354	331	24	line	line	NOUN
fis-1354	331	25	)	)	PUNCT
fis-1354	331	26	,	,	PUNCT
fis-1354	331	27	within	within	ADP
fis-1354	331	28	a	a	DET
fis-1354	331	29	small	small	ADJ
fis-1354	331	30	distance	distance	NOUN
fis-1354	331	31	from	from	ADP
fis-1354	331	32	the	the	DET
fis-1354	331	33	crack	crack	NOUN
fis-1354	331	34	tip	tip	NOUN
fis-1354	331	35	.	.	PUNCT
fis-1354	332	1	for	for	ADP
fis-1354	332	2	higher	high	ADJ
fis-1354	332	3	distances	distance	NOUN
fis-1354	332	4	,	,	PUNCT
fis-1354	332	5	slight	slight	ADJ
fis-1354	332	6	deviations	deviation	NOUN
fis-1354	332	7	are	be	AUX
fis-1354	332	8	found	find	VERB
fis-1354	332	9	for	for	ADP
fis-1354	332	10	σy	σy	NOUN
fis-1354	332	11	stresses	stress	NOUN
fis-1354	332	12	.	.	PUNCT
fis-1354	333	1	for	for	ADP
fis-1354	333	2	σx	σx	NOUN
fis-1354	333	3	stresses	stress	NOUN
fis-1354	333	4	,	,	PUNCT
fis-1354	333	5	the	the	DET
fis-1354	333	6	maximum	maximum	ADJ
fis-1354	333	7	deviation	deviation	NOUN
fis-1354	333	8	is	be	AUX
fis-1354	333	9	found	find	VERB
fis-1354	333	10	in	in	ADP
fis-1354	333	11	the	the	DET
fis-1354	333	12	maximum	maximum	ADJ
fis-1354	333	13	absolute	absolute	ADJ
fis-1354	333	14	value	value	NOUN
fis-1354	333	15	.	.	PUNCT
fis-1354	334	1	for	for	ADP
fis-1354	334	2	small	small	ADJ
fis-1354	334	3	and	and	CCONJ
fis-1354	334	4	high	high	ADJ
fis-1354	334	5	distances	distance	NOUN
fis-1354	334	6	from	from	ADP
fis-1354	334	7	the	the	DET
fis-1354	334	8	crack	crack	NOUN
fis-1354	334	9	tip	tip	NOUN
fis-1354	334	10	,	,	PUNCT
fis-1354	334	11	the	the	DET
fis-1354	334	12	deviations	deviation	NOUN
fis-1354	334	13	on	on	ADP
fis-1354	334	14	σx	σx	NOUN
fis-1354	334	15	stresses	stress	NOUN
fis-1354	334	16	are	be	AUX
fis-1354	334	17	minimal	minimal	ADJ
fis-1354	334	18	.	.	PUNCT
fis-1354	335	1	additional	additional	ADJ
fis-1354	335	2	simulations	simulation	NOUN
fis-1354	335	3	with	with	ADP
fis-1354	335	4	further	further	ADJ
fis-1354	335	5	mesh	mesh	NOUN
fis-1354	335	6	refinements	refinement	NOUN
fis-1354	335	7	did	do	AUX
fis-1354	335	8	not	not	PART
fis-1354	335	9	produce	produce	VERB
fis-1354	335	10	noticeable	noticeable	ADJ
fis-1354	335	11	changes	change	NOUN
fis-1354	335	12	in	in	ADP
fis-1354	335	13	the	the	DET
fis-1354	335	14	elastic	elastic	ADJ
fis-1354	335	15	stress	stress	NOUN
fis-1354	335	16	distributions	distribution	NOUN
fis-1354	335	17	,	,	PUNCT
fis-1354	335	18	demonstrating	demonstrate	VERB
fis-1354	335	19	a	a	DET
fis-1354	335	20	good	good	ADJ
fis-1354	335	21	mesh	mesh	NOUN
fis-1354	335	22	refinement	refinement	NOUN
fis-1354	335	23	.	.	PUNCT
fis-1354	336	1	besides	besides	SCONJ
fis-1354	336	2	the	the	DET
fis-1354	336	3	numerical	numerical	ADJ
fis-1354	336	4	solution	solution	NOUN
fis-1354	336	5	for	for	ADP
fis-1354	336	6	the	the	DET
fis-1354	336	7	elastoplastic	elastoplastic	ADJ
fis-1354	336	8	analysis	analysis	NOUN
fis-1354	336	9	,	,	PUNCT
fis-1354	336	10	results	result	NOUN
fis-1354	336	11	from	from	ADP
fis-1354	336	12	the	the	DET
fis-1354	336	13	multiaxial	multiaxial	ADJ
fis-1354	336	14	neuber	neuber	NOUN
fis-1354	336	15	’s	’s	PART
fis-1354	336	16	analysis	analysis	NOUN
fis-1354	336	17	are	be	AUX
fis-1354	336	18	also	also	ADV
fis-1354	336	19	considered	consider	VERB
fis-1354	336	20	.	.	PUNCT
fis-1354	337	1	despite	despite	SCONJ
fis-1354	337	2	the	the	DET
fis-1354	337	3	same	same	ADJ
fis-1354	337	4	global	global	ADJ
fis-1354	337	5	trends	trend	NOUN
fis-1354	337	6	are	be	AUX
fis-1354	337	7	observed	observe	VERB
fis-1354	337	8	for	for	ADP
fis-1354	337	9	the	the	DET
fis-1354	337	10	σy	σy	NOUN
fis-1354	337	11	and	and	CCONJ
fis-1354	337	12	σx	σx	ADP
fis-1354	337	13	stress	stress	NOUN
fis-1354	337	14	distributions	distribution	NOUN
fis-1354	337	15	,	,	PUNCT
fis-1354	337	16	deviations	deviation	NOUN
fis-1354	337	17	in	in	ADP
fis-1354	337	18	maximum	maximum	ADJ
fis-1354	337	19	absolute	absolute	ADJ
fis-1354	337	20	values	value	NOUN
fis-1354	337	21	are	be	AUX
fis-1354	337	22	verified	verify	VERB
fis-1354	337	23	in	in	ADP
fis-1354	337	24	the	the	DET
fis-1354	337	25	elastoplastic	elastoplastic	ADJ
fis-1354	337	26	stresses	stress	NOUN
fis-1354	337	27	.	.	PUNCT
fis-1354	338	1	in	in	ADP
fis-1354	338	2	general	general	ADJ
fis-1354	338	3	,	,	PUNCT
fis-1354	338	4	the	the	DET
fis-1354	338	5	analytical	analytical	ADJ
fis-1354	338	6	solutions	solution	NOUN
fis-1354	338	7	lead	lead	VERB
fis-1354	338	8	to	to	ADP
fis-1354	338	9	maximum	maximum	ADJ
fis-1354	338	10	absolute	absolute	ADJ
fis-1354	338	11	stresses	stress	NOUN
fis-1354	338	12	higher	high	ADJ
fis-1354	338	13	than	than	ADP
fis-1354	338	14	the	the	DET
fis-1354	338	15	elastoplastic	elastoplastic	ADJ
fis-1354	338	16	fe	fe	NOUN
fis-1354	338	17	analysis	analysis	NOUN
fis-1354	338	18	.	.	PUNCT
fis-1354	339	1	σx	σx	NOUN
fis-1354	339	2	stresses	stress	NOUN
fis-1354	339	3	are	be	AUX
fis-1354	339	4	more	more	ADV
fis-1354	339	5	stepped	step	VERB
fis-1354	339	6	than	than	ADP
fis-1354	339	7	the	the	DET
fis-1354	339	8	corresponding	corresponding	ADJ
fis-1354	339	9	numerical	numerical	ADJ
fis-1354	339	10	stresses	stress	NOUN
fis-1354	339	11	near	near	ADP
fis-1354	339	12	the	the	DET
fis-1354	339	13	crack	crack	NOUN
fis-1354	339	14	tip	tip	NOUN
fis-1354	339	15	.	.	PUNCT
fis-1354	340	1	also	also	ADV
fis-1354	340	2	,	,	PUNCT
fis-1354	340	3	the	the	DET
fis-1354	340	4	analytical	analytical	ADJ
fis-1354	340	5	solution	solution	NOUN
fis-1354	340	6	shows	show	VERB
fis-1354	340	7	some	some	DET
fis-1354	340	8	instability	instability	NOUN
fis-1354	340	9	near	near	ADP
fis-1354	340	10	the	the	DET
fis-1354	340	11	crack	crack	NOUN
fis-1354	340	12	tip	tip	NOUN
fis-1354	340	13	.	.	PUNCT
fis-1354	341	1	the	the	DET
fis-1354	341	2	analysis	analysis	NOUN
fis-1354	341	3	of	of	ADP
fis-1354	341	4	the	the	DET
fis-1354	341	5	σy	σy	NOUN
fis-1354	341	6	stress	stress	NOUN
fis-1354	341	7	distribution	distribution	NOUN
fis-1354	341	8	shows	show	VERB
fis-1354	341	9	an	an	DET
fis-1354	341	10	inflection	inflection	NOUN
fis-1354	341	11	point	point	NOUN
fis-1354	341	12	which	which	PRON
fis-1354	341	13	is	be	AUX
fis-1354	341	14	related	relate	VERB
fis-1354	341	15	to	to	ADP
fis-1354	341	16	the	the	DET
fis-1354	341	17	size	size	NOUN
fis-1354	341	18	of	of	ADP
fis-1354	341	19	the	the	DET
fis-1354	341	20	plastic	plastic	NOUN
fis-1354	341	21	zone	zone	NOUN
fis-1354	341	22	.	.	PUNCT
fis-1354	342	1	the	the	DET
fis-1354	342	2	analytical	analytical	ADJ
fis-1354	342	3	solution	solution	NOUN
fis-1354	342	4	does	do	AUX
fis-1354	342	5	not	not	PART
fis-1354	342	6	show	show	VERB
fis-1354	342	7	this	this	DET
fis-1354	342	8	behaviour	behaviour	NOUN
fis-1354	342	9	,	,	PUNCT
fis-1354	342	10	which	which	PRON
fis-1354	342	11	is	be	AUX
fis-1354	342	12	a	a	DET
fis-1354	342	13	clear	clear	ADJ
fis-1354	342	14	limitation	limitation	NOUN
fis-1354	342	15	of	of	ADP
fis-1354	342	16	the	the	DET
fis-1354	342	17	analytical	analytical	ADJ
fis-1354	342	18	approach	approach	NOUN
fis-1354	342	19	.	.	PUNCT
fis-1354	343	1	the	the	DET
fis-1354	343	2	compressive	compressive	ADJ
fis-1354	343	3	residual	residual	ADJ
fis-1354	343	4	stresses	stress	NOUN
fis-1354	343	5	decrease	decrease	VERB
fis-1354	343	6	progressively	progressively	ADV
fis-1354	343	7	with	with	ADP
fis-1354	343	8	increasing	increase	VERB
fis-1354	343	9	stress	stress	NOUN
fis-1354	343	10	ratio	ratio	NOUN
fis-1354	343	11	,	,	PUNCT
fis-1354	343	12	making	make	VERB
fis-1354	343	13	the	the	DET
fis-1354	343	14	applied	apply	VERB
fis-1354	343	15	stress	stress	NOUN
fis-1354	343	16	intensity	intensity	NOUN
fis-1354	343	17	range	range	VERB
fis-1354	343	18	more	more	ADV
fis-1354	343	19	effective	effective	ADJ
fis-1354	343	20	.	.	PUNCT
fis-1354	344	1	the	the	DET
fis-1354	344	2	extension	extension	NOUN
fis-1354	344	3	of	of	ADP
fis-1354	344	4	the	the	DET
fis-1354	344	5	compressive	compressive	ADJ
fis-1354	344	6	residual	residual	ADJ
fis-1354	344	7	stresses	stress	NOUN
fis-1354	344	8	increases	increase	VERB
fis-1354	344	9	with	with	ADP
fis-1354	344	10	the	the	DET
fis-1354	344	11	crack	crack	NOUN
fis-1354	344	12	size	size	NOUN
fis-1354	344	13	.	.	PUNCT
fis-1354	345	1	the	the	DET
fis-1354	345	2	numerical	numerical	PROPN
fis-1354	345	3	model	model	NOUN
fis-1354	345	4	always	always	ADV
fis-1354	345	5	predicts	predict	VERB
fis-1354	345	6	a	a	DET
fis-1354	345	7	compressive	compressive	ADJ
fis-1354	345	8	stress	stress	NOUN
fis-1354	345	9	region	region	NOUN
fis-1354	345	10	which	which	PRON
fis-1354	345	11	is	be	AUX
fis-1354	345	12	lower	low	ADJ
fis-1354	345	13	than	than	ADP
fis-1354	345	14	that	that	PRON
fis-1354	345	15	predicted	predict	VERB
fis-1354	345	16	using	use	VERB
fis-1354	345	17	the	the	DET
fis-1354	345	18	analytical	analytical	ADJ
fis-1354	345	19	model	model	NOUN
fis-1354	345	20	.	.	PUNCT
fis-1354	346	1	the	the	DET
fis-1354	346	2	comparison	comparison	NOUN
fis-1354	346	3	between	between	ADP
fis-1354	346	4	the	the	DET
fis-1354	346	5	numerical	numerical	ADJ
fis-1354	346	6	and	and	CCONJ
fis-1354	346	7	analytical	analytical	ADJ
fis-1354	346	8	results	result	NOUN
fis-1354	346	9	highlighted	highlight	VERB
fis-1354	346	10	some	some	DET
fis-1354	346	11	inconsistencies	inconsistency	NOUN
fis-1354	346	12	in	in	ADP
fis-1354	346	13	the	the	DET
fis-1354	346	14	analytical	analytical	ADJ
fis-1354	346	15	results	result	NOUN
fis-1354	346	16	.	.	PUNCT
fis-1354	347	1	the	the	DET
fis-1354	347	2	analytical	analytical	ADJ
fis-1354	347	3	procedure	procedure	NOUN
fis-1354	347	4	produces	produce	VERB
fis-1354	347	5	reliable	reliable	ADJ
fis-1354	347	6	results	result	NOUN
fis-1354	347	7	at	at	ADP
fis-1354	347	8	the	the	DET
fis-1354	347	9	crack	crack	NOUN
fis-1354	347	10	notch	notch	NOUN
fis-1354	347	11	root	root	NOUN
fis-1354	347	12	,	,	PUNCT
fis-1354	347	13	but	but	CCONJ
fis-1354	347	14	the	the	DET
fis-1354	347	15	residual	residual	ADJ
fis-1354	347	16	stress	stress	NOUN
fis-1354	347	17	distribution	distribution	NOUN
fis-1354	347	18	along	along	ADP
fis-1354	347	19	the	the	DET
fis-1354	347	20	crack	crack	NOUN
fis-1354	347	21	front	front	ADJ
fis-1354	347	22	path	path	NOUN
fis-1354	347	23	(	(	PUNCT
fis-1354	347	24	away	away	ADV
fis-1354	347	25	from	from	ADP
fis-1354	347	26	the	the	DET
fis-1354	347	27	crack	crack	NOUN
fis-1354	347	28	notch	notch	NOUN
fis-1354	347	29	root	root	NOUN
fis-1354	347	30	)	)	PUNCT
fis-1354	347	31	seems	seem	VERB
fis-1354	347	32	to	to	PART
fis-1354	347	33	be	be	AUX
fis-1354	347	34	inconsistent	inconsistent	ADJ
fis-1354	347	35	,	,	PUNCT
fis-1354	347	36	which	which	PRON
fis-1354	347	37	is	be	AUX
fis-1354	347	38	in	in	ADP
fis-1354	347	39	part	part	NOUN
fis-1354	347	40	justified	justify	VERB
fis-1354	347	41	by	by	ADP
fis-1354	347	42	the	the	DET
fis-1354	347	43	incapacity	incapacity	NOUN
fis-1354	347	44	of	of	ADP
fis-1354	347	45	the	the	DET
fis-1354	347	46	analytical	analytical	ADJ
fis-1354	347	47	model	model	NOUN
fis-1354	347	48	to	to	PART
fis-1354	347	49	handle	handle	VERB
fis-1354	347	50	the	the	DET
fis-1354	347	51	stress	stress	NOUN
fis-1354	347	52	redistribution	redistribution	NOUN
fis-1354	347	53	due	due	ADP
fis-1354	347	54	to	to	ADP
fis-1354	347	55	yielding	yield	VERB
fis-1354	347	56	.	.	PUNCT
fis-1354	348	1	therefore	therefore	ADV
fis-1354	348	2	,	,	PUNCT
fis-1354	348	3	the	the	DET
fis-1354	348	4	numerical	numerical	ADJ
fis-1354	348	5	solution	solution	NOUN
fis-1354	348	6	,	,	PUNCT
fis-1354	348	7	for	for	ADP
fis-1354	348	8	the	the	DET
fis-1354	348	9	residual	residual	ADJ
fis-1354	348	10	stresses	stress	NOUN
fis-1354	348	11	,	,	PUNCT
fis-1354	348	12	was	be	AUX
fis-1354	348	13	adopted	adopt	VERB
fis-1354	348	14	in	in	ADP
fis-1354	348	15	the	the	DET
fis-1354	348	16	crack	crack	NOUN
fis-1354	348	17	propagation	propagation	NOUN
fis-1354	348	18	prediction	prediction	NOUN
fis-1354	348	19	,	,	PUNCT
fis-1354	348	20	based	base	VERB
fis-1354	348	21	on	on	ADP
fis-1354	348	22	the	the	DET
fis-1354	348	23	unigrow	unigrow	PROPN
fis-1354	348	24	model	model	PROPN
fis-1354	348	25	.	.	PUNCT
fis-1354	349	1	a	a	DET
fis-1354	349	2	linear	linear	ADJ
fis-1354	349	3	correlation	correlation	NOUN
fis-1354	349	4	between	between	ADP
fis-1354	349	5	the	the	DET
fis-1354	349	6	residual	residual	ADJ
fis-1354	349	7	stress	stress	NOUN
fis-1354	349	8	intensity	intensity	NOUN
fis-1354	349	9	factor	factor	NOUN
fis-1354	349	10	and	and	CCONJ
fis-1354	349	11	the	the	DET
fis-1354	349	12	applied	apply	VERB
fis-1354	349	13	stress	stress	NOUN
fis-1354	349	14	range	range	NOUN
fis-1354	349	15	is	be	AUX
fis-1354	349	16	verified	verify	VERB
fis-1354	349	17	,	,	PUNCT
fis-1354	349	18	for	for	ADP
fis-1354	349	19	each	each	DET
fis-1354	349	20	stress	stress	NOUN
fis-1354	349	21	rratio	rratio	NOUN
fis-1354	349	22	.	.	PUNCT
fis-1354	350	1	this	this	DET
fis-1354	350	2	linear	linear	PROPN
fis-1354	350	3	relation	relation	NOUN
fis-1354	350	4	agrees	agree	VERB
fis-1354	350	5	with	with	ADP
fis-1354	350	6	the	the	DET
fis-1354	350	7	proposition	proposition	NOUN
fis-1354	350	8	by	by	ADP
fis-1354	350	9	noroozi	noroozi	PROPN
fis-1354	350	10	et	et	PROPN
fis-1354	350	11	al	al	PROPN
fis-1354	350	12	.	.	PUNCT
fis-1354	351	1	[	[	X
fis-1354	351	2	10	10	NUM
fis-1354	351	3	]	]	PUNCT
fis-1354	351	4	.	.	PUNCT
fis-1354	352	1	p	p	X
fis-1354	352	2	-	-	PUNCT
fis-1354	352	3	da	da	ADJ
fis-1354	352	4	/	/	SYM
fis-1354	352	5	dn-k	dn-k	NOUN
fis-1354	352	6	-	-	PUNCT
fis-1354	352	7	r	r	NOUN
fis-1354	352	8	results	result	NOUN
fis-1354	352	9	and	and	CCONJ
fis-1354	352	10	discussion	discussion	NOUN
fis-1354	352	11	the	the	DET
fis-1354	352	12	unigrow	unigrow	PROPN
fis-1354	352	13	model	model	NOUN
fis-1354	352	14	was	be	AUX
fis-1354	352	15	applied	apply	VERB
fis-1354	352	16	to	to	PART
fis-1354	352	17	compute	compute	VERB
fis-1354	352	18	the	the	DET
fis-1354	352	19	fatigue	fatigue	NOUN
fis-1354	352	20	crack	crack	VERB
fis-1354	352	21	propagation	propagation	NOUN
fis-1354	352	22	for	for	ADP
fis-1354	352	23	the	the	DET
fis-1354	352	24	same	same	ADJ
fis-1354	352	25	experimental	experimental	ADJ
fis-1354	352	26	conditions	condition	NOUN
fis-1354	352	27	used	use	VERB
fis-1354	352	28	to	to	PART
fis-1354	352	29	derive	derive	VERB
fis-1354	352	30	the	the	DET
fis-1354	352	31	aforementioned	aforementioned	ADJ
fis-1354	352	32	fatigue	fatigue	NOUN
fis-1354	352	33	crack	crack	VERB
fis-1354	352	34	propagation	propagation	NOUN
fis-1354	352	35	data	datum	NOUN
fis-1354	352	36	.	.	PUNCT
fis-1354	353	1	the	the	DET
fis-1354	353	2	residual	residual	ADJ
fis-1354	353	3	stress	stress	NOUN
fis-1354	353	4	intensity	intensity	NOUN
fis-1354	353	5	factor	factor	NOUN
fis-1354	353	6	was	be	AUX
fis-1354	353	7	computed	compute	VERB
fis-1354	353	8	based	base	VERB
fis-1354	353	9	on	on	ADP
fis-1354	353	10	compressive	compressive	ADJ
fis-1354	353	11	residual	residual	ADJ
fis-1354	353	12	stress	stress	NOUN
fis-1354	353	13	distribution	distribution	NOUN
fis-1354	353	14	from	from	ADP
fis-1354	353	15	the	the	DET
fis-1354	353	16	finite	finite	ADJ
fis-1354	353	17	element	element	NOUN
fis-1354	353	18	analysis	analysis	NOUN
fis-1354	353	19	,	,	PUNCT
fis-1354	353	20	and	and	CCONJ
fis-1354	353	21	using	use	VERB
fis-1354	353	22	the	the	DET
fis-1354	353	23	weight	weight	NOUN
fis-1354	353	24	function	function	NOUN
fis-1354	353	25	method	method	NOUN
fis-1354	353	26	[	[	X
fis-1354	353	27	24	24	NUM
fis-1354	353	28	]	]	PUNCT
fis-1354	353	29	,	,	PUNCT
fis-1354	353	30	as	as	SCONJ
fis-1354	353	31	proposed	propose	VERB
fis-1354	353	32	in	in	ADP
fis-1354	353	33	the	the	DET
fis-1354	353	34	unigrow	unigrow	PROPN
fis-1354	353	35	model	model	PROPN
fis-1354	353	36	.	.	PUNCT
fis-1354	354	1	the	the	DET
fis-1354	354	2	strain	strain	ADJ
fis-1354	354	3	range	range	NOUN
fis-1354	354	4	and	and	CCONJ
fis-1354	354	5	maximum	maximum	ADJ
fis-1354	354	6	stress	stress	NOUN
fis-1354	354	7	required	require	VERB
fis-1354	354	8	by	by	ADP
fis-1354	354	9	the	the	DET
fis-1354	354	10	probabilistic	probabilistic	ADJ
fis-1354	354	11	strain	strain	NOUN
fis-1354	354	12	-	-	PUNCT
fis-1354	354	13	life	life	NOUN
fis-1354	354	14	or	or	CCONJ
fis-1354	354	15	swt	swt	PROPN
fis-1354	354	16	-	-	PUNCT
fis-1354	354	17	life	life	NOUN
fis-1354	354	18	j.a.f.o	j.a.f.o	PROPN
fis-1354	354	19	.	.	PUNCT
fis-1354	355	1	correia	correia	PROPN
fis-1354	355	2	et	et	PROPN
fis-1354	355	3	alii	alii	PROPN
fis-1354	355	4	,	,	PUNCT
fis-1354	355	5	frattura	frattura	PROPN
fis-1354	355	6	ed	ed	PROPN
fis-1354	355	7	integrità	integrità	PROPN
fis-1354	355	8	strutturale	strutturale	PROPN
fis-1354	355	9	,	,	PUNCT
fis-1354	355	10	31	31	NUM
fis-1354	355	11	(	(	PUNCT
fis-1354	355	12	2015	2015	NUM
fis-1354	355	13	)	)	PUNCT
fis-1354	355	14	80	80	NUM
fis-1354	355	15	-	-	SYM
fis-1354	355	16	96	96	NUM
fis-1354	355	17	;	;	PUNCT
fis-1354	355	18	doi	doi	NOUN
fis-1354	355	19	:	:	PUNCT
fis-1354	355	20	10.3221	10.3221	NUM
fis-1354	355	21	/	/	SYM
fis-1354	355	22	igf	igf	PROPN
fis-1354	355	23	-	-	ADJ
fis-1354	355	24	esis.31.07	esis.31.07	ADJ
fis-1354	355	25	93	93	NUM
fis-1354	355	26	models	model	NOUN
fis-1354	355	27	were	be	AUX
fis-1354	355	28	assessed	assess	VERB
fis-1354	355	29	using	use	VERB
fis-1354	355	30	the	the	DET
fis-1354	355	31	analytical	analytical	ADJ
fis-1354	355	32	approach	approach	NOUN
fis-1354	355	33	,	,	PUNCT
fis-1354	355	34	applied	apply	VERB
fis-1354	355	35	to	to	ADP
fis-1354	355	36	the	the	DET
fis-1354	355	37	first	first	ADJ
fis-1354	355	38	elementary	elementary	ADJ
fis-1354	355	39	material	material	NOUN
fis-1354	355	40	block	block	NOUN
fis-1354	355	41	,	,	PUNCT
fis-1354	355	42	keeping	keep	VERB
fis-1354	355	43	the	the	DET
fis-1354	355	44	original	original	ADJ
fis-1354	355	45	structure	structure	NOUN
fis-1354	355	46	of	of	ADP
fis-1354	355	47	the	the	DET
fis-1354	355	48	unigrow	unigrow	PROPN
fis-1354	355	49	model	model	PROPN
fis-1354	355	50	.	.	PUNCT
fis-1354	356	1	average	average	ADJ
fis-1354	356	2	strain	strain	NOUN
fis-1354	356	3	and	and	CCONJ
fis-1354	356	4	stress	stress	NOUN
fis-1354	356	5	values	value	NOUN
fis-1354	356	6	,	,	PUNCT
fis-1354	356	7	along	along	ADP
fis-1354	356	8	the	the	DET
fis-1354	356	9	first	first	ADJ
fis-1354	356	10	elementary	elementary	ADJ
fis-1354	356	11	material	material	NOUN
fis-1354	356	12	block	block	NOUN
fis-1354	356	13	,	,	PUNCT
fis-1354	356	14	were	be	AUX
fis-1354	356	15	used	use	VERB
fis-1354	356	16	instead	instead	ADV
fis-1354	356	17	of	of	ADP
fis-1354	356	18	peak	peak	NOUN
fis-1354	356	19	values	value	NOUN
fis-1354	356	20	.	.	PUNCT
fis-1354	357	1	the	the	DET
fis-1354	357	2	analytical	analytical	ADJ
fis-1354	357	3	solution	solution	NOUN
fis-1354	357	4	produces	produce	VERB
fis-1354	357	5	reliable	reliable	ADJ
fis-1354	357	6	results	result	NOUN
fis-1354	357	7	at	at	ADP
fis-1354	357	8	the	the	DET
fis-1354	357	9	crack	crack	NOUN
fis-1354	357	10	tip	tip	NOUN
fis-1354	357	11	notch	notch	NOUN
fis-1354	357	12	root	root	NOUN
fis-1354	357	13	as	as	SCONJ
fis-1354	357	14	verified	verify	VERB
fis-1354	357	15	in	in	ADP
fis-1354	357	16	previous	previous	ADJ
fis-1354	357	17	section	section	NOUN
fis-1354	357	18	.	.	PUNCT
fis-1354	358	1	the	the	DET
fis-1354	358	2	original	original	ADJ
fis-1354	358	3	structure	structure	NOUN
fis-1354	358	4	of	of	ADP
fis-1354	358	5	the	the	DET
fis-1354	358	6	unigrow	unigrow	PROPN
fis-1354	358	7	model	model	NOUN
fis-1354	358	8	has	have	VERB
fis-1354	358	9	some	some	DET
fis-1354	358	10	advantages	advantage	NOUN
fis-1354	358	11	:	:	PUNCT
fis-1354	358	12	i	i	X
fis-1354	358	13	)	)	PUNCT
fis-1354	358	14	a	a	DET
fis-1354	358	15	direct	direct	ADJ
fis-1354	358	16	correspondence	correspondence	NOUN
fis-1354	358	17	with	with	ADP
fis-1354	358	18	fracture	fracture	NOUN
fis-1354	358	19	mechanics	mechanic	NOUN
fis-1354	358	20	based	base	VERB
fis-1354	358	21	analyses	analysis	NOUN
fis-1354	358	22	,	,	PUNCT
fis-1354	358	23	which	which	PRON
fis-1354	358	24	facilitates	facilitate	VERB
fis-1354	358	25	the	the	DET
fis-1354	358	26	physical	physical	ADJ
fis-1354	358	27	understanding	understanding	NOUN
fis-1354	358	28	of	of	ADP
fis-1354	358	29	the	the	DET
fis-1354	358	30	process	process	NOUN
fis-1354	358	31	;	;	PUNCT
fis-1354	358	32	ii	ii	X
fis-1354	358	33	)	)	PUNCT
fis-1354	358	34	allows	allow	VERB
fis-1354	358	35	close	close	ADJ
fis-1354	358	36	form	form	NOUN
fis-1354	358	37	solutions	solution	NOUN
fis-1354	358	38	for	for	ADP
fis-1354	358	39	fatigue	fatigue	NOUN
fis-1354	358	40	crack	crack	NOUN
fis-1354	358	41	propagation	propagation	NOUN
fis-1354	358	42	laws	law	NOUN
fis-1354	358	43	in	in	ADP
fis-1354	358	44	the	the	DET
fis-1354	358	45	same	same	ADJ
fis-1354	358	46	format	format	NOUN
fis-1354	358	47	of	of	ADP
fis-1354	358	48	existing	exist	VERB
fis-1354	358	49	fracture	fracture	NOUN
fis-1354	358	50	mechanics	mechanic	NOUN
fis-1354	358	51	approaches	approach	NOUN
fis-1354	358	52	;	;	PUNCT
fis-1354	358	53	iii	iii	X
fis-1354	358	54	)	)	PUNCT
fis-1354	358	55	requires	require	VERB
fis-1354	358	56	inexpensive	inexpensive	ADJ
fis-1354	358	57	computations	computation	NOUN
fis-1354	358	58	.	.	PUNCT
fis-1354	359	1	the	the	DET
fis-1354	359	2	elastoplastic	elastoplastic	ADJ
fis-1354	359	3	finite	finite	PROPN
fis-1354	359	4	element	element	NOUN
fis-1354	359	5	analysis	analysis	NOUN
fis-1354	359	6	was	be	AUX
fis-1354	359	7	used	use	VERB
fis-1354	359	8	for	for	ADP
fis-1354	359	9	the	the	DET
fis-1354	359	10	derivation	derivation	NOUN
fis-1354	359	11	of	of	ADP
fis-1354	359	12	the	the	DET
fis-1354	359	13	residual	residual	ADJ
fis-1354	359	14	stresses	stress	NOUN
fis-1354	359	15	which	which	PRON
fis-1354	359	16	were	be	AUX
fis-1354	359	17	afterwards	afterwards	ADV
fis-1354	359	18	used	use	VERB
fis-1354	359	19	for	for	ADP
fis-1354	359	20	the	the	DET
fis-1354	359	21	computation	computation	NOUN
fis-1354	359	22	of	of	ADP
fis-1354	359	23	the	the	DET
fis-1354	359	24	residual	residual	ADJ
fis-1354	359	25	stress	stress	NOUN
fis-1354	359	26	intensity	intensity	NOUN
fis-1354	359	27	factor	factor	NOUN
fis-1354	359	28	,	,	PUNCT
fis-1354	359	29	using	use	VERB
fis-1354	359	30	the	the	DET
fis-1354	359	31	weight	weight	NOUN
fis-1354	359	32	function	function	NOUN
fis-1354	359	33	method	method	NOUN
fis-1354	359	34	.	.	PUNCT
fis-1354	360	1	the	the	DET
fis-1354	360	2	p	p	PROPN
fis-1354	360	3	-	-	PUNCT
fis-1354	360	4	swt	swt	PROPN
fis-1354	360	5	-	-	PUNCT
fis-1354	360	6	n	n	NOUN
fis-1354	360	7	or	or	CCONJ
fis-1354	360	8	the	the	DET
fis-1354	360	9	p	p	NOUN
fis-1354	360	10	-	-	PUNCT
fis-1354	360	11	εa	εa	NOUN
fis-1354	360	12	-	-	PUNCT
fis-1354	360	13	n	n	NOUN
fis-1354	360	14	fields	field	NOUN
fis-1354	360	15	were	be	AUX
fis-1354	360	16	used	use	VERB
fis-1354	360	17	to	to	PART
fis-1354	360	18	derive	derive	VERB
fis-1354	360	19	the	the	DET
fis-1354	360	20	probabilistic	probabilistic	ADJ
fis-1354	360	21	fatigue	fatigue	NOUN
fis-1354	360	22	crack	crack	VERB
fis-1354	360	23	propagation	propagation	NOUN
fis-1354	360	24	fields	field	NOUN
fis-1354	360	25	(	(	PUNCT
fis-1354	360	26	p	p	NOUN
fis-1354	360	27	-	-	PUNCT
fis-1354	360	28	da	da	ADJ
fis-1354	360	29	/	/	SYM
fis-1354	360	30	dn-k	dn-k	NOUN
fis-1354	360	31	-	-	PUNCT
fis-1354	360	32	r	r	NOUN
fis-1354	360	33	fields	field	NOUN
fis-1354	360	34	)	)	PUNCT
fis-1354	360	35	.	.	PUNCT
fis-1354	361	1	for	for	ADP
fis-1354	361	2	each	each	DET
fis-1354	361	3	case	case	NOUN
fis-1354	361	4	,	,	PUNCT
fis-1354	361	5	an	an	DET
fis-1354	361	6	independent	independent	ADJ
fis-1354	361	7	identification	identification	NOUN
fis-1354	361	8	of	of	ADP
fis-1354	361	9	the	the	DET
fis-1354	361	10	elementary	elementary	ADJ
fis-1354	361	11	material	material	PROPN
fis-1354	361	12	block	block	NOUN
fis-1354	361	13	size	size	NOUN
fis-1354	361	14	,	,	PUNCT
fis-1354	361	15	ρ	ρ	PROPN
fis-1354	361	16	*	*	PROPN
fis-1354	361	17	,	,	PUNCT
fis-1354	361	18	was	be	AUX
fis-1354	361	19	performed	perform	VERB
fis-1354	361	20	.	.	PUNCT
fis-1354	362	1	fig	fig	NOUN
fis-1354	362	2	.	.	PUNCT
fis-1354	363	1	16	16	NUM
fis-1354	363	2	shows	show	VERB
fis-1354	363	3	the	the	DET
fis-1354	363	4	probabilistic	probabilistic	ADJ
fis-1354	363	5	fatigue	fatigue	NOUN
fis-1354	363	6	crack	crack	VERB
fis-1354	363	7	propagation	propagation	NOUN
fis-1354	363	8	fields	field	NOUN
fis-1354	363	9	that	that	PRON
fis-1354	363	10	were	be	AUX
fis-1354	363	11	obtained	obtain	VERB
fis-1354	363	12	,	,	PUNCT
fis-1354	363	13	for	for	ADP
fis-1354	363	14	the	the	DET
fis-1354	363	15	s355	s355	PROPN
fis-1354	363	16	steel	steel	NOUN
fis-1354	363	17	,	,	PUNCT
fis-1354	363	18	using	use	VERB
fis-1354	363	19	the	the	DET
fis-1354	363	20	p	p	NOUN
fis-1354	363	21	-	-	PUNCT
fis-1354	363	22	εa	εa	NOUN
fis-1354	363	23	-	-	PUNCT
fis-1354	363	24	n	n	NOUN
fis-1354	363	25	field	field	NOUN
fis-1354	363	26	.	.	PUNCT
fis-1354	364	1	fig	fig	NOUN
fis-1354	364	2	.	.	PUNCT
fis-1354	365	1	17	17	NUM
fis-1354	365	2	illustrates	illustrate	VERB
fis-1354	365	3	the	the	DET
fis-1354	365	4	probabilistic	probabilistic	ADJ
fis-1354	365	5	fatigue	fatigue	NOUN
fis-1354	365	6	crack	crack	NOUN
fis-1354	365	7	propagation	propagation	NOUN
fis-1354	365	8	fields	field	NOUN
fis-1354	365	9	predicted	predict	VERB
fis-1354	365	10	for	for	ADP
fis-1354	365	11	the	the	DET
fis-1354	365	12	s355	s355	PROPN
fis-1354	365	13	steel	steel	NOUN
fis-1354	365	14	,	,	PUNCT
fis-1354	365	15	resulting	result	VERB
fis-1354	365	16	from	from	ADP
fis-1354	365	17	the	the	DET
fis-1354	365	18	p	p	PROPN
fis-1354	365	19	-	-	PUNCT
fis-1354	365	20	swt	swt	VERB
fis-1354	365	21	-	-	PUNCT
fis-1354	365	22	n	n	NOUN
fis-1354	365	23	field	field	NOUN
fis-1354	365	24	.	.	PUNCT
fis-1354	366	1	an	an	DET
fis-1354	366	2	elementary	elementary	ADJ
fis-1354	366	3	material	material	NOUN
fis-1354	366	4	block	block	NOUN
fis-1354	366	5	size	size	NOUN
fis-1354	366	6	of	of	ADP
fis-1354	366	7	5.5×10	5.5×10	PROPN
fis-1354	366	8	-	-	SYM
fis-1354	366	9	5	5	NUM
fis-1354	366	10	m	m	NOUN
fis-1354	366	11	was	be	AUX
fis-1354	366	12	found	find	VERB
fis-1354	366	13	suitable	suitable	ADJ
fis-1354	366	14	for	for	ADP
fis-1354	366	15	both	both	PRON
fis-1354	366	16	p	p	PROPN
fis-1354	366	17	-	-	PUNCT
fis-1354	366	18	swt	swt	VERB
fis-1354	366	19	-	-	PUNCT
fis-1354	366	20	n	n	PROPN
fis-1354	366	21	and	and	CCONJ
fis-1354	366	22	p	p	NOUN
fis-1354	366	23	-	-	PUNCT
fis-1354	366	24	εa	εa	NOUN
fis-1354	366	25	-	-	PUNCT
fis-1354	366	26	n	n	NOUN
fis-1354	366	27	damage	damage	NOUN
fis-1354	366	28	fields	field	NOUN
fis-1354	366	29	.	.	PUNCT
fis-1354	367	1	concerning	concern	VERB
fis-1354	367	2	the	the	DET
fis-1354	367	3	p	p	NOUN
fis-1354	367	4	-	-	PUNCT
fis-1354	367	5	da	da	ADJ
fis-1354	367	6	/	/	SYM
fis-1354	367	7	dn-k	dn-k	NOUN
fis-1354	367	8	-	-	PUNCT
fis-1354	367	9	r	r	NOUN
fis-1354	367	10	fields	field	NOUN
fis-1354	367	11	predicted	predict	VERB
fis-1354	367	12	for	for	ADP
fis-1354	367	13	the	the	DET
fis-1354	367	14	s355	s355	PROPN
fis-1354	367	15	steel	steel	NOUN
fis-1354	367	16	,	,	PUNCT
fis-1354	367	17	the	the	DET
fis-1354	367	18	field	field	NOUN
fis-1354	367	19	that	that	PRON
fis-1354	367	20	resulted	result	VERB
fis-1354	367	21	from	from	ADP
fis-1354	367	22	the	the	DET
fis-1354	367	23	p	p	PROPN
fis-1354	367	24	-	-	PUNCT
fis-1354	367	25	swt	swt	VERB
fis-1354	367	26	-	-	PUNCT
fis-1354	367	27	n	n	NOUN
fis-1354	367	28	damage	damage	NOUN
fis-1354	367	29	model	model	NOUN
fis-1354	367	30	produced	produce	VERB
fis-1354	367	31	the	the	DET
fis-1354	367	32	best	good	ADJ
fis-1354	367	33	results	result	NOUN
fis-1354	367	34	.	.	PUNCT
fis-1354	368	1	this	this	DET
fis-1354	368	2	observation	observation	NOUN
fis-1354	368	3	is	be	AUX
fis-1354	368	4	justified	justify	VERB
fis-1354	368	5	by	by	ADP
fis-1354	368	6	the	the	DET
fis-1354	368	7	fact	fact	NOUN
fis-1354	368	8	that	that	SCONJ
fis-1354	368	9	the	the	DET
fis-1354	368	10	s355	s355	PROPN
fis-1354	368	11	steel	steel	NOUN
fis-1354	368	12	shows	show	VERB
fis-1354	368	13	a	a	DET
fis-1354	368	14	markedly	markedly	ADV
fis-1354	368	15	stress	stress	NOUN
fis-1354	368	16	ratio	ratio	NOUN
fis-1354	368	17	influence	influence	NOUN
fis-1354	368	18	on	on	ADP
fis-1354	368	19	fatigue	fatigue	NOUN
fis-1354	368	20	crack	crack	NOUN
fis-1354	368	21	propagation	propagation	NOUN
fis-1354	368	22	rates	rate	NOUN
fis-1354	368	23	,	,	PUNCT
fis-1354	368	24	requiring	require	VERB
fis-1354	368	25	a	a	DET
fis-1354	368	26	fatigue	fatigue	NOUN
fis-1354	368	27	damage	damage	NOUN
fis-1354	368	28	model	model	NOUN
fis-1354	368	29	that	that	PRON
fis-1354	368	30	is	be	AUX
fis-1354	368	31	able	able	ADJ
fis-1354	368	32	to	to	PART
fis-1354	368	33	account	account	VERB
fis-1354	368	34	for	for	ADP
fis-1354	368	35	the	the	DET
fis-1354	368	36	mean	mean	ADJ
fis-1354	368	37	stress	stress	NOUN
fis-1354	368	38	effects	effect	NOUN
fis-1354	368	39	.	.	PUNCT
fis-1354	369	1			PUNCT
fis-1354	370	1	k	k	X
fis-1354	370	2	 	 	SPACE
fis-1354	371	1	[	[	X
fis-1354	371	2	n.mm‐3/2	n.mm‐3/2	X
fis-1354	371	3	]	]	X
fis-1354	371	4	d	d	X
fis-1354	371	5	a	a	X
fis-1354	371	6	/d	/d	SYM
fis-1354	371	7	n	n	NOUN
fis-1354	371	8	 	 	SPACE
fis-1354	371	9	[	[	PUNCT
fis-1354	371	10	m	m	VERB
fis-1354	371	11	m	m	VERB
fis-1354	371	12	/c	/c	PUNCT
fis-1354	371	13	yc	yc	X
fis-1354	371	14	le	le	X
fis-1354	371	15	]	]	PUNCT
fis-1354	371	16	experimental	experimental	ADJ
fis-1354	371	17	 	 	SPACE
fis-1354	371	18	data	datum	NOUN
fis-1354	371	19	:	:	PUNCT
fis-1354	371	20	 	 	SPACE
fis-1354	371	21	r=0.0	r=0.0	ADJ
fis-1354	371	22	p=0.01	p=0.01	PRON
fis-1354	371	23	p=0.05	p=0.05	PROPN
fis-1354	371	24	p=0.50	p=0.50	PROPN
fis-1354	371	25	p=0.95	p=0.95	NOUN
fis-1354	371	26	p=0.99	p=0.99	VERB
fis-1354	371	27	1.0e‐6	1.0e‐6	NUM
fis-1354	371	28	1.0e‐3	1.0e‐3	NUM
fis-1354	371	29	1.0e‐2	1.0e‐2	NUM
fis-1354	371	30	200	200	NUM
fis-1354	371	31	1500500	1500500	NUM
fis-1354	371	32	1.0e‐4	1.0e‐4	NUM
fis-1354	371	33	1.0e‐5	1.0e‐5	NUM
fis-1354	371	34	1000	1000	NUM
fis-1354	371	35			NOUN
fis-1354	372	1	k	k	X
fis-1354	372	2	 	 	SPACE
fis-1354	373	1	[	[	X
fis-1354	373	2	n.mm‐3/2	n.mm‐3/2	X
fis-1354	373	3	]	]	X
fis-1354	373	4	d	d	X
fis-1354	373	5	a	a	X
fis-1354	373	6	/d	/d	SYM
fis-1354	373	7	n	n	NOUN
fis-1354	373	8	 	 	SPACE
fis-1354	373	9	[	[	PUNCT
fis-1354	373	10	m	m	VERB
fis-1354	373	11	m	m	VERB
fis-1354	373	12	/c	/c	PUNCT
fis-1354	373	13	yc	yc	X
fis-1354	373	14	le	le	X
fis-1354	373	15	]	]	PUNCT
fis-1354	373	16	experimental	experimental	ADJ
fis-1354	373	17	 	 	SPACE
fis-1354	373	18	data	datum	NOUN
fis-1354	373	19	:	:	PUNCT
fis-1354	373	20	 	 	SPACE
fis-1354	373	21	r=0.25	r=0.25	NOUN
fis-1354	373	22	p=0.01	p=0.01	PRON
fis-1354	373	23	p=0.05	p=0.05	PROPN
fis-1354	373	24	p=0.50	p=0.50	PROPN
fis-1354	373	25	p=0.95	p=0.95	NOUN
fis-1354	373	26	p=0.99	p=0.99	VERB
fis-1354	373	27	1.0e‐6	1.0e‐6	NUM
fis-1354	373	28	1.0e‐3	1.0e‐3	NUM
fis-1354	373	29	1.0e‐2	1.0e‐2	NUM
fis-1354	373	30	200	200	NUM
fis-1354	373	31	1500500	1500500	NUM
fis-1354	373	32	1.0e‐4	1.0e‐4	NUM
fis-1354	373	33	1.0e‐5	1.0e‐5	NUM
fis-1354	373	34	1000	1000	NUM
fis-1354	373	35	a	a	DET
fis-1354	373	36	)	)	PUNCT
fis-1354	373	37	b	b	NOUN
fis-1354	373	38	)	)	PUNCT
fis-1354	373	39			PUNCT
fis-1354	374	1	k	k	X
fis-1354	374	2	 	 	SPACE
fis-1354	375	1	[	[	X
fis-1354	375	2	n.mm‐3/2	n.mm‐3/2	X
fis-1354	375	3	]	]	X
fis-1354	375	4	d	d	X
fis-1354	375	5	a	a	X
fis-1354	375	6	/d	/d	SYM
fis-1354	375	7	n	n	NOUN
fis-1354	375	8	 	 	SPACE
fis-1354	375	9	[	[	PUNCT
fis-1354	375	10	m	m	VERB
fis-1354	375	11	m	m	VERB
fis-1354	375	12	/c	/c	PUNCT
fis-1354	375	13	yc	yc	X
fis-1354	375	14	le	le	X
fis-1354	375	15	]	]	PUNCT
fis-1354	375	16	experimental	experimental	ADJ
fis-1354	375	17	 	 	SPACE
fis-1354	375	18	data	datum	NOUN
fis-1354	375	19	:	:	PUNCT
fis-1354	375	20	 	 	SPACE
fis-1354	375	21	r=0.5	r=0.5	VERB
fis-1354	375	22	p=0.01	p=0.01	DET
fis-1354	375	23	p=0.05	p=0.05	NOUN
fis-1354	375	24	p=0.50	p=0.50	PROPN
fis-1354	375	25	p=0.95	p=0.95	NOUN
fis-1354	375	26	p=0.99	p=0.99	VERB
fis-1354	375	27	1.0e‐6	1.0e‐6	NUM
fis-1354	375	28	1.0e‐3	1.0e‐3	NUM
fis-1354	375	29	1.0e‐2	1.0e‐2	NUM
fis-1354	375	30	200	200	NUM
fis-1354	375	31	1500500	1500500	NUM
fis-1354	375	32	1.0e‐4	1.0e‐4	NUM
fis-1354	375	33	1.0e‐5	1.0e‐5	NUM
fis-1354	375	34	1000	1000	NUM
fis-1354	375	35	c	c	NOUN
fis-1354	375	36	)	)	PUNCT
fis-1354	375	37	figure	figure	NOUN
fis-1354	375	38	16	16	NUM
fis-1354	375	39	:	:	PUNCT
fis-1354	375	40	probabilistic	probabilistic	ADJ
fis-1354	375	41	prediction	prediction	NOUN
fis-1354	375	42	of	of	ADP
fis-1354	375	43	the	the	DET
fis-1354	375	44	fatigue	fatigue	NOUN
fis-1354	375	45	crack	crack	VERB
fis-1354	375	46	propagation	propagation	NOUN
fis-1354	375	47	based	base	VERB
fis-1354	375	48	the	the	DET
fis-1354	375	49	p	p	PROPN
fis-1354	375	50	-	-	PUNCT
fis-1354	375	51	ε	ε	VERB
fis-1354	375	52	-	-	PUNCT
fis-1354	375	53	n	n	PRON
fis-1354	375	54	field	field	NOUN
fis-1354	375	55	,	,	PUNCT
fis-1354	375	56	for	for	ADP
fis-1354	375	57	the	the	DET
fis-1354	375	58	s355	s355	PROPN
fis-1354	375	59	steel	steel	NOUN
fis-1354	375	60	:	:	PUNCT
fis-1354	375	61	a	a	X
fis-1354	375	62	)	)	PUNCT
fis-1354	375	63	rσ=0	rσ=0	NOUN
fis-1354	375	64	;	;	PUNCT
fis-1354	375	65	b	b	X
fis-1354	375	66	)	)	PUNCT
fis-1354	375	67	rσ=0.25	rσ=0.25	NOUN
fis-1354	375	68	;	;	PUNCT
fis-1354	375	69	c	c	X
fis-1354	375	70	)	)	PUNCT
fis-1354	375	71	rσ=0.5	rσ=0.5	NOUN
fis-1354	375	72	.	.	PUNCT
fis-1354	376	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	376	2	.	.	PUNCT
fis-1354	376	3	correia	correia	PROPN
fis-1354	376	4	et	et	PROPN
fis-1354	376	5	alii	alii	PROPN
fis-1354	376	6	,	,	PUNCT
fis-1354	376	7	frattura	frattura	PROPN
fis-1354	376	8	ed	ed	PROPN
fis-1354	376	9	integrità	integrità	PROPN
fis-1354	376	10	strutturale	strutturale	PROPN
fis-1354	376	11	,	,	PUNCT
fis-1354	376	12	31	31	NUM
fis-1354	376	13	(	(	PUNCT
fis-1354	376	14	2015	2015	NUM
fis-1354	376	15	)	)	PUNCT
fis-1354	376	16	80	80	NUM
fis-1354	376	17	-	-	SYM
fis-1354	376	18	96	96	NUM
fis-1354	376	19	;	;	PUNCT
fis-1354	376	20	doi	doi	NOUN
fis-1354	376	21	:	:	PUNCT
fis-1354	376	22	10.3221	10.3221	NUM
fis-1354	376	23	/	/	SYM
fis-1354	376	24	igf	igf	PROPN
fis-1354	376	25	-	-	ADJ
fis-1354	376	26	esis.31.07	esis.31.07	PROPN
fis-1354	376	27	94	94	NUM
fis-1354	376	28			NOUN
fis-1354	377	1	k	k	X
fis-1354	377	2	 	 	SPACE
fis-1354	378	1	[	[	X
fis-1354	378	2	n.mm‐3/2	n.mm‐3/2	X
fis-1354	378	3	]	]	X
fis-1354	378	4	da	da	X
fis-1354	378	5	/d	/d	PUNCT
fis-1354	378	6	n	n	VERB
fis-1354	378	7	 	 	SPACE
fis-1354	378	8	[	[	PUNCT
fis-1354	378	9	m	m	VERB
fis-1354	378	10	m	m	VERB
fis-1354	378	11	/c	/c	PUNCT
fis-1354	378	12	yc	yc	X
fis-1354	378	13	le	le	X
fis-1354	378	14	]	]	PUNCT
fis-1354	378	15	experimental	experimental	ADJ
fis-1354	378	16	 	 	SPACE
fis-1354	378	17	data	datum	NOUN
fis-1354	378	18	:	:	PUNCT
fis-1354	378	19	 	 	SPACE
fis-1354	378	20	r=0.0	r=0.0	ADJ
fis-1354	378	21	p=0.01	p=0.01	PRON
fis-1354	378	22	p=0.05	p=0.05	PROPN
fis-1354	378	23	p=0.50	p=0.50	PROPN
fis-1354	378	24	p=0.95	p=0.95	NOUN
fis-1354	378	25	p=0.99	p=0.99	VERB
fis-1354	378	26	1.0e‐6	1.0e‐6	NUM
fis-1354	378	27	1.0e‐3	1.0e‐3	NUM
fis-1354	378	28	1.0e‐2	1.0e‐2	NUM
fis-1354	378	29	200	200	NUM
fis-1354	378	30	1500500	1500500	NUM
fis-1354	378	31	1.0e‐4	1.0e‐4	NUM
fis-1354	378	32	1.0e‐5	1.0e‐5	NUM
fis-1354	378	33	1000	1000	NUM
fis-1354	378	34			NOUN
fis-1354	379	1	k	k	X
fis-1354	379	2	 	 	SPACE
fis-1354	380	1	[	[	X
fis-1354	380	2	n.mm‐3/2	n.mm‐3/2	X
fis-1354	380	3	]	]	X
fis-1354	380	4	d	d	X
fis-1354	380	5	a	a	X
fis-1354	380	6	/d	/d	SYM
fis-1354	380	7	n	n	NOUN
fis-1354	380	8	 	 	SPACE
fis-1354	380	9	[	[	PUNCT
fis-1354	380	10	m	m	VERB
fis-1354	380	11	m	m	VERB
fis-1354	380	12	/c	/c	PUNCT
fis-1354	380	13	yc	yc	X
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fis-1354	380	16	experimental	experimental	ADJ
fis-1354	380	17	 	 	SPACE
fis-1354	380	18	data	datum	NOUN
fis-1354	380	19	:	:	PUNCT
fis-1354	380	20	 	 	SPACE
fis-1354	380	21	r=0.25	r=0.25	NOUN
fis-1354	380	22	p=0.01	p=0.01	PRON
fis-1354	380	23	p=0.05	p=0.05	PROPN
fis-1354	380	24	p=0.50	p=0.50	PROPN
fis-1354	380	25	p=0.95	p=0.95	NOUN
fis-1354	380	26	p=0.99	p=0.99	VERB
fis-1354	380	27	1.0e‐6	1.0e‐6	NUM
fis-1354	380	28	1.0e‐3	1.0e‐3	NUM
fis-1354	380	29	1.0e‐2	1.0e‐2	NUM
fis-1354	380	30	200	200	NUM
fis-1354	380	31	1500500	1500500	NUM
fis-1354	380	32	1.0e‐4	1.0e‐4	NUM
fis-1354	380	33	1.0e‐5	1.0e‐5	NUM
fis-1354	380	34	1000	1000	NUM
fis-1354	380	35	a	a	DET
fis-1354	380	36	)	)	PUNCT
fis-1354	380	37	b	b	NOUN
fis-1354	380	38	)	)	PUNCT
fis-1354	380	39			PUNCT
fis-1354	381	1	k	k	X
fis-1354	381	2	 	 	SPACE
fis-1354	382	1	[	[	X
fis-1354	382	2	n.mm‐3/2	n.mm‐3/2	X
fis-1354	382	3	]	]	X
fis-1354	382	4	d	d	X
fis-1354	382	5	a	a	X
fis-1354	382	6	/d	/d	SYM
fis-1354	382	7	n	n	NOUN
fis-1354	382	8	 	 	SPACE
fis-1354	382	9	[	[	PUNCT
fis-1354	382	10	m	m	VERB
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fis-1354	382	12	/c	/c	PUNCT
fis-1354	382	13	yc	yc	X
fis-1354	382	14	le	le	X
fis-1354	382	15	]	]	PUNCT
fis-1354	382	16	experimental	experimental	ADJ
fis-1354	382	17	 	 	SPACE
fis-1354	382	18	data	datum	NOUN
fis-1354	382	19	:	:	PUNCT
fis-1354	382	20	 	 	SPACE
fis-1354	382	21	r=0.5	r=0.5	VERB
fis-1354	382	22	p=0.01	p=0.01	DET
fis-1354	382	23	p=0.05	p=0.05	NOUN
fis-1354	382	24	p=0.50	p=0.50	PROPN
fis-1354	382	25	p=0.95	p=0.95	NOUN
fis-1354	382	26	p=0.99	p=0.99	VERB
fis-1354	382	27	1.0e‐6	1.0e‐6	NUM
fis-1354	382	28	1.0e‐3	1.0e‐3	NUM
fis-1354	382	29	1.0e‐2	1.0e‐2	NUM
fis-1354	382	30	200	200	NUM
fis-1354	382	31	1500500	1500500	NUM
fis-1354	382	32	1.0e‐4	1.0e‐4	NUM
fis-1354	382	33	1.0e‐5	1.0e‐5	NUM
fis-1354	382	34	1000	1000	NUM
fis-1354	382	35	c	c	NOUN
fis-1354	382	36	)	)	PUNCT
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fis-1354	382	42	of	of	ADP
fis-1354	382	43	the	the	DET
fis-1354	382	44	fatigue	fatigue	NOUN
fis-1354	382	45	crack	crack	VERB
fis-1354	382	46	propagation	propagation	NOUN
fis-1354	382	47	based	base	VERB
fis-1354	382	48	the	the	DET
fis-1354	382	49	p	p	PROPN
fis-1354	382	50	-	-	PUNCT
fis-1354	382	51	swt	swt	VERB
fis-1354	382	52	-	-	PUNCT
fis-1354	382	53	n	n	NOUN
fis-1354	382	54	field	field	NOUN
fis-1354	382	55	,	,	PUNCT
fis-1354	382	56	for	for	ADP
fis-1354	382	57	the	the	DET
fis-1354	382	58	s355	s355	PROPN
fis-1354	382	59	steel	steel	NOUN
fis-1354	382	60	:	:	PUNCT
fis-1354	382	61	a	a	X
fis-1354	382	62	)	)	PUNCT
fis-1354	382	63	rσ=0	rσ=0	NOUN
fis-1354	382	64	;	;	PUNCT
fis-1354	382	65	b	b	X
fis-1354	382	66	)	)	PUNCT
fis-1354	382	67	rσ=0.25	rσ=0.25	NOUN
fis-1354	382	68	;	;	PUNCT
fis-1354	382	69	c	c	X
fis-1354	382	70	)	)	PUNCT
fis-1354	382	71	rσ=0.5	rσ=0.5	NOUN
fis-1354	382	72	.	.	PUNCT
fis-1354	383	1	conclusions	conclusion	NOUN
fis-1354	383	2	n	n	PRON
fis-1354	383	3	assessment	assessment	NOUN
fis-1354	383	4	of	of	ADP
fis-1354	383	5	the	the	DET
fis-1354	383	6	unigrow	unigrow	PROPN
fis-1354	383	7	model	model	NOUN
fis-1354	383	8	was	be	AUX
fis-1354	383	9	presented	present	VERB
fis-1354	383	10	in	in	ADP
fis-1354	383	11	this	this	DET
fis-1354	383	12	paper	paper	NOUN
fis-1354	383	13	,	,	PUNCT
fis-1354	383	14	based	base	VERB
fis-1354	383	15	on	on	ADP
fis-1354	383	16	available	available	ADJ
fis-1354	383	17	experimental	experimental	ADJ
fis-1354	383	18	data	datum	NOUN
fis-1354	383	19	for	for	ADP
fis-1354	383	20	the	the	DET
fis-1354	383	21	s355	s355	PROPN
fis-1354	383	22	mild	mild	ADJ
fis-1354	383	23	steel	steel	NOUN
fis-1354	383	24	.	.	PUNCT
fis-1354	384	1	the	the	DET
fis-1354	384	2	unigrow	unigrow	PROPN
fis-1354	384	3	model	model	NOUN
fis-1354	384	4	was	be	AUX
fis-1354	384	5	also	also	ADV
fis-1354	384	6	extended	extend	VERB
fis-1354	384	7	to	to	PART
fis-1354	384	8	predict	predict	VERB
fis-1354	384	9	probabilistic	probabilistic	ADJ
fis-1354	384	10	fatigue	fatigue	NOUN
fis-1354	384	11	crack	crack	VERB
fis-1354	384	12	propagation	propagation	NOUN
fis-1354	384	13	fields	field	NOUN
fis-1354	384	14	,	,	PUNCT
fis-1354	384	15	replacing	replace	VERB
fis-1354	384	16	the	the	DET
fis-1354	384	17	deterministic	deterministic	ADJ
fis-1354	384	18	swt	swt	PROPN
fis-1354	384	19	-	-	PUNCT
fis-1354	384	20	n	n	NOUN
fis-1354	384	21	relation	relation	NOUN
fis-1354	384	22	proposed	propose	VERB
fis-1354	384	23	in	in	ADP
fis-1354	384	24	the	the	DET
fis-1354	384	25	unigrow	unigrow	PROPN
fis-1354	384	26	model	model	NOUN
fis-1354	384	27	by	by	ADP
fis-1354	384	28	p	p	PROPN
fis-1354	384	29	-	-	PUNCT
fis-1354	384	30	swt	swt	PROPN
fis-1354	384	31	-	-	PUNCT
fis-1354	384	32	n	n	NOUN
fis-1354	384	33	or	or	CCONJ
fis-1354	384	34	p	p	NOUN
fis-1354	384	35	-	-	PUNCT
fis-1354	384	36	εa	εa	NOUN
fis-1354	384	37	-	-	PUNCT
fis-1354	384	38	n	n	NOUN
fis-1354	384	39	fields	field	NOUN
fis-1354	384	40	.	.	PUNCT
fis-1354	385	1	the	the	DET
fis-1354	385	2	pswt	pswt	PROPN
fis-1354	385	3	-	-	PUNCT
fis-1354	385	4	n	n	NOUN
fis-1354	385	5	field	field	NOUN
fis-1354	385	6	was	be	AUX
fis-1354	385	7	firstly	firstly	ADV
fis-1354	385	8	proposed	propose	VERB
fis-1354	385	9	in	in	ADP
fis-1354	385	10	the	the	DET
fis-1354	385	11	present	present	ADJ
fis-1354	385	12	paper	paper	NOUN
fis-1354	385	13	,	,	PUNCT
fis-1354	385	14	as	as	ADP
fis-1354	385	15	a	a	DET
fis-1354	385	16	generalization	generalization	NOUN
fis-1354	385	17	of	of	ADP
fis-1354	385	18	the	the	DET
fis-1354	385	19	p	p	NOUN
fis-1354	385	20	-	-	PUNCT
fis-1354	385	21	εa	εa	NOUN
fis-1354	385	22	-	-	PUNCT
fis-1354	385	23	n	n	NOUN
fis-1354	385	24	field	field	NOUN
fis-1354	385	25	,	,	PUNCT
fis-1354	385	26	in	in	ADP
fis-1354	385	27	order	order	NOUN
fis-1354	385	28	to	to	PART
fis-1354	385	29	take	take	VERB
fis-1354	385	30	into	into	ADP
fis-1354	385	31	account	account	NOUN
fis-1354	385	32	the	the	DET
fis-1354	385	33	mean	mean	ADJ
fis-1354	385	34	stress	stress	NOUN
fis-1354	385	35	effects	effect	NOUN
fis-1354	385	36	.	.	PUNCT
fis-1354	386	1	elastoplastic	elastoplastic	ADJ
fis-1354	386	2	finite	finite	PROPN
fis-1354	386	3	element	element	NOUN
fis-1354	386	4	analysis	analysis	NOUN
fis-1354	386	5	was	be	AUX
fis-1354	386	6	used	use	VERB
fis-1354	386	7	to	to	PART
fis-1354	386	8	compute	compute	VERB
fis-1354	386	9	the	the	DET
fis-1354	386	10	residual	residual	ADJ
fis-1354	386	11	stress	stress	NOUN
fis-1354	386	12	field	field	NOUN
fis-1354	386	13	which	which	PRON
fis-1354	386	14	is	be	AUX
fis-1354	386	15	a	a	DET
fis-1354	386	16	more	more	ADV
fis-1354	386	17	accurate	accurate	ADJ
fis-1354	386	18	than	than	ADP
fis-1354	386	19	using	use	VERB
fis-1354	386	20	the	the	DET
fis-1354	386	21	analytical	analytical	ADJ
fis-1354	386	22	elastoplastic	elastoplastic	ADJ
fis-1354	386	23	formulae	formulae	NOUN
fis-1354	386	24	that	that	PRON
fis-1354	386	25	does	do	AUX
fis-1354	386	26	not	not	PART
fis-1354	386	27	account	account	VERB
fis-1354	386	28	for	for	ADP
fis-1354	386	29	stress	stress	NOUN
fis-1354	386	30	redistribution	redistribution	NOUN
fis-1354	386	31	due	due	ADP
fis-1354	386	32	to	to	ADP
fis-1354	386	33	yielding	yield	VERB
fis-1354	386	34	.	.	PUNCT
fis-1354	387	1	the	the	DET
fis-1354	387	2	predicted	predict	VERB
fis-1354	387	3	p	p	NOUN
fis-1354	387	4	-	-	PUNCT
fis-1354	387	5	da	da	ADJ
fis-1354	387	6	/	/	SYM
fis-1354	387	7	dn-k	dn-k	NOUN
fis-1354	387	8	-	-	PUNCT
fis-1354	387	9	r	r	NOUN
fis-1354	387	10	field	field	NOUN
fis-1354	387	11	for	for	ADP
fis-1354	387	12	the	the	DET
fis-1354	387	13	s355	s355	PROPN
fis-1354	387	14	steel	steel	NOUN
fis-1354	387	15	,	,	PUNCT
fis-1354	387	16	based	base	VERB
fis-1354	387	17	on	on	ADP
fis-1354	387	18	the	the	DET
fis-1354	387	19	material	material	NOUN
fis-1354	387	20	p	p	PROPN
fis-1354	387	21	-	-	PUNCT
fis-1354	387	22	swt	swt	VERB
fis-1354	387	23	-	-	PUNCT
fis-1354	387	24	n	n	NOUN
fis-1354	387	25	field	field	NOUN
fis-1354	387	26	,	,	PUNCT
fis-1354	387	27	showed	show	VERB
fis-1354	387	28	a	a	DET
fis-1354	387	29	satisfactory	satisfactory	ADJ
fis-1354	387	30	agreement	agreement	NOUN
fis-1354	387	31	with	with	ADP
fis-1354	387	32	the	the	DET
fis-1354	387	33	available	available	ADJ
fis-1354	387	34	experimental	experimental	ADJ
fis-1354	387	35	data	datum	NOUN
fis-1354	387	36	.	.	PUNCT
fis-1354	388	1	the	the	DET
fis-1354	388	2	proposed	propose	VERB
fis-1354	388	3	p	p	NOUN
fis-1354	388	4	-	-	PUNCT
fis-1354	388	5	da	da	ADJ
fis-1354	388	6	/	/	SYM
fis-1354	388	7	dn-k	dn-k	NOUN
fis-1354	388	8	-	-	PUNCT
fis-1354	388	9	r	r	NOUN
fis-1354	388	10	fields	field	NOUN
fis-1354	388	11	were	be	AUX
fis-1354	388	12	able	able	ADJ
fis-1354	388	13	to	to	PART
fis-1354	388	14	model	model	VERB
fis-1354	388	15	conveniently	conveniently	ADV
fis-1354	388	16	the	the	DET
fis-1354	388	17	stress	stress	NOUN
fis-1354	388	18	rratio	rratio	NOUN
fis-1354	388	19	effects	effect	NOUN
fis-1354	388	20	on	on	ADP
fis-1354	388	21	crack	crack	NOUN
fis-1354	388	22	propagation	propagation	NOUN
fis-1354	388	23	rates	rate	NOUN
fis-1354	388	24	as	as	ADV
fis-1354	388	25	well	well	ADV
fis-1354	388	26	as	as	ADP
fis-1354	388	27	to	to	PART
fis-1354	388	28	represent	represent	VERB
fis-1354	388	29	the	the	DET
fis-1354	388	30	scatter	scatter	NOUN
fis-1354	388	31	on	on	ADP
fis-1354	388	32	these	these	DET
fis-1354	388	33	fatigue	fatigue	NOUN
fis-1354	388	34	crack	crack	VERB
fis-1354	388	35	propagation	propagation	NOUN
fis-1354	388	36	rates	rate	NOUN
fis-1354	388	37	.	.	PUNCT
fis-1354	389	1	the	the	DET
fis-1354	389	2	elementary	elementary	ADJ
fis-1354	389	3	material	material	PROPN
fis-1354	389	4	block	block	NOUN
fis-1354	389	5	size	size	NOUN
fis-1354	389	6	found	find	VERB
fis-1354	389	7	for	for	ADP
fis-1354	389	8	the	the	DET
fis-1354	389	9	material	material	NOUN
fis-1354	389	10	is	be	AUX
fis-1354	389	11	within	within	ADP
fis-1354	389	12	the	the	DET
fis-1354	389	13	same	same	ADJ
fis-1354	389	14	order	order	NOUN
fis-1354	389	15	of	of	ADP
fis-1354	389	16	magnitude	magnitude	NOUN
fis-1354	389	17	for	for	ADP
fis-1354	389	18	this	this	DET
fis-1354	389	19	parameter	parameter	NOUN
fis-1354	389	20	found	find	VERB
fis-1354	389	21	by	by	ADP
fis-1354	389	22	noroozi	noroozi	PROPN
fis-1354	389	23	et	et	PROPN
fis-1354	389	24	al	al	PROPN
fis-1354	389	25	.	.	PUNCT
fis-1354	390	1	[	[	X
fis-1354	390	2	10	10	NUM
fis-1354	390	3	]	]	PUNCT
fis-1354	390	4	.	.	PUNCT
fis-1354	391	1	acknowledgements	acknowledgement	NOUN
fis-1354	391	2	he	he	PRON
fis-1354	391	3	authors	author	NOUN
fis-1354	391	4	acknowledge	acknowledge	VERB
fis-1354	391	5	the	the	DET
fis-1354	391	6	portuguese	portuguese	ADJ
fis-1354	391	7	science	science	PROPN
fis-1354	391	8	foundation	foundation	PROPN
fis-1354	391	9	(	(	PUNCT
fis-1354	391	10	fct	fct	PROPN
fis-1354	391	11	)	)	PUNCT
fis-1354	391	12	for	for	ADP
fis-1354	391	13	the	the	DET
fis-1354	391	14	financial	financial	ADJ
fis-1354	391	15	support	support	NOUN
fis-1354	391	16	through	through	ADP
fis-1354	391	17	the	the	DET
fis-1354	391	18	doctoral	doctoral	ADJ
fis-1354	391	19	grant	grant	NOUN
fis-1354	391	20	sfrh	sfrh	NOUN
fis-1354	391	21	/	/	SYM
fis-1354	391	22	bd/66497/2009	bd/66497/2009	NOUN
fis-1354	391	23	.	.	PUNCT
fis-1354	392	1	a	a	DET
fis-1354	392	2	t	t	PROPN
fis-1354	392	3	j.a.f.o	j.a.f.o	PROPN
fis-1354	392	4	.	.	PUNCT
fis-1354	393	1	correia	correia	PROPN
fis-1354	393	2	et	et	PROPN
fis-1354	393	3	alii	alii	PROPN
fis-1354	393	4	,	,	PUNCT
fis-1354	393	5	frattura	frattura	PROPN
fis-1354	393	6	ed	ed	PROPN
fis-1354	393	7	integrità	integrità	PROPN
fis-1354	393	8	strutturale	strutturale	PROPN
fis-1354	393	9	,	,	PUNCT
fis-1354	393	10	31	31	NUM
fis-1354	393	11	(	(	PUNCT
fis-1354	393	12	2015	2015	NUM
fis-1354	393	13	)	)	PUNCT
fis-1354	393	14	80	80	NUM
fis-1354	393	15	-	-	SYM
fis-1354	393	16	96	96	NUM
fis-1354	393	17	;	;	PUNCT
fis-1354	393	18	doi	doi	NOUN
fis-1354	393	19	:	:	PUNCT
fis-1354	393	20	10.3221	10.3221	NUM
fis-1354	393	21	/	/	SYM
fis-1354	393	22	igf	igf	PROPN
fis-1354	393	23	-	-	ADJ
fis-1354	393	24	esis.31.07	esis.31.07	ADJ
fis-1354	393	25	95	95	NUM
fis-1354	393	26	references	reference	NOUN
fis-1354	393	27	[	[	X
fis-1354	393	28	1	1	NUM
fis-1354	393	29	]	]	SYM
fis-1354	393	30	noroozi	noroozi	PROPN
fis-1354	393	31	,	,	PUNCT
fis-1354	393	32	a.h	a.h	PROPN
fis-1354	393	33	.	.	PROPN
fis-1354	393	34	,	,	PUNCT
fis-1354	393	35	glinka	glinka	PROPN
fis-1354	393	36	,	,	PUNCT
fis-1354	393	37	g.	g.	PROPN
fis-1354	393	38	,	,	PUNCT
fis-1354	393	39	lambert	lambert	PROPN
fis-1354	393	40	,	,	PUNCT
fis-1354	393	41	s.	s.	PROPN
fis-1354	393	42	,	,	PUNCT
fis-1354	393	43	a	a	DET
fis-1354	393	44	two	two	NUM
fis-1354	393	45	parameter	parameter	NOUN
fis-1354	393	46	driving	driving	NOUN
fis-1354	393	47	force	force	NOUN
fis-1354	393	48	for	for	ADP
fis-1354	393	49	fatigue	fatigue	NOUN
fis-1354	393	50	crack	crack	NOUN
fis-1354	393	51	growth	growth	NOUN
fis-1354	393	52	analysis	analysis	NOUN
fis-1354	393	53	,	,	PUNCT
fis-1354	393	54	international	international	ADJ
fis-1354	393	55	journal	journal	NOUN
fis-1354	393	56	of	of	ADP
fis-1354	393	57	fatigue	fatigue	NOUN
fis-1354	393	58	,	,	PUNCT
fis-1354	393	59	27	27	NUM
fis-1354	393	60	(	(	PUNCT
fis-1354	393	61	2005)1277	2005)1277	NUM
fis-1354	393	62	-	-	PUNCT
fis-1354	393	63	1296	1296	NUM
fis-1354	393	64	.	.	PUNCT
fis-1354	394	1	[	[	X
fis-1354	394	2	2	2	NUM
fis-1354	394	3	]	]	PUNCT
fis-1354	394	4	schütz	schütz	NOUN
fis-1354	394	5	,	,	PUNCT
fis-1354	394	6	w.	w.	PROPN
fis-1354	394	7	,	,	PUNCT
fis-1354	394	8	a	a	DET
fis-1354	394	9	history	history	NOUN
fis-1354	394	10	of	of	ADP
fis-1354	394	11	fatigue	fatigue	NOUN
fis-1354	394	12	,	,	PUNCT
fis-1354	394	13	engineering	engineering	NOUN
fis-1354	394	14	fracture	fracture	NOUN
fis-1354	394	15	mechanics	mechanic	NOUN
fis-1354	394	16	,	,	PUNCT
fis-1354	394	17	54	54	NUM
fis-1354	394	18	(	(	PUNCT
fis-1354	394	19	1996	1996	NUM
fis-1354	394	20	)	)	PUNCT
fis-1354	394	21	263	263	NUM
fis-1354	394	22	-	-	SYM
fis-1354	394	23	300	300	NUM
fis-1354	394	24	.	.	PUNCT
fis-1354	395	1	[	[	X
fis-1354	395	2	3	3	NUM
fis-1354	395	3	]	]	X
fis-1354	395	4	paris	paris	PROPN
fis-1354	395	5	,	,	PUNCT
fis-1354	395	6	p.c	p.c	PROPN
fis-1354	395	7	.	.	PROPN
fis-1354	395	8	,	,	PUNCT
fis-1354	395	9	gomez	gomez	PROPN
fis-1354	395	10	,	,	PUNCT
fis-1354	395	11	m.	m.	NOUN
fis-1354	395	12	,	,	PUNCT
fis-1354	395	13	anderson	anderson	PROPN
fis-1354	395	14	,	,	PUNCT
fis-1354	395	15	w.e	w.e	PROPN
fis-1354	395	16	.	.	PROPN
fis-1354	395	17	,	,	PUNCT
fis-1354	395	18	a	a	DET
fis-1354	395	19	rational	rational	ADJ
fis-1354	395	20	analytic	analytic	ADJ
fis-1354	395	21	theory	theory	NOUN
fis-1354	395	22	of	of	ADP
fis-1354	395	23	fatigue	fatigue	NOUN
fis-1354	395	24	,	,	PUNCT
fis-1354	395	25	trend	trend	NOUN
fis-1354	395	26	engineering	engineering	NOUN
fis-1354	395	27	,	,	PUNCT
fis-1354	395	28	13	13	NUM
fis-1354	395	29	(	(	PUNCT
fis-1354	395	30	1961	1961	NUM
fis-1354	395	31	)	)	PUNCT
fis-1354	395	32	9	9	NUM
fis-1354	395	33	-	-	SYM
fis-1354	395	34	14	14	NUM
fis-1354	395	35	.	.	PUNCT
fis-1354	396	1	[	[	X
fis-1354	396	2	4	4	NUM
fis-1354	396	3	]	]	X
fis-1354	396	4	beden	beden	ADJ
fis-1354	396	5	,	,	PUNCT
fis-1354	396	6	s.m	s.m	PROPN
fis-1354	396	7	.	.	PROPN
fis-1354	396	8	,	,	PUNCT
fis-1354	396	9	abdullah	abdullah	PROPN
fis-1354	396	10	,	,	PUNCT
fis-1354	396	11	s.	s.	PROPN
fis-1354	396	12	,	,	PUNCT
fis-1354	396	13	ariffin	ariffin	PROPN
fis-1354	396	14	,	,	PUNCT
fis-1354	396	15	a.k	a.k	PROPN
fis-1354	396	16	.	.	PROPN
fis-1354	396	17	,	,	PUNCT
fis-1354	396	18	review	review	NOUN
fis-1354	396	19	of	of	ADP
fis-1354	396	20	fatigue	fatigue	NOUN
fis-1354	396	21	crack	crack	VERB
fis-1354	396	22	propagation	propagation	NOUN
fis-1354	396	23	models	model	NOUN
fis-1354	396	24	for	for	ADP
fis-1354	396	25	metallic	metallic	ADJ
fis-1354	396	26	components	component	NOUN
fis-1354	396	27	,	,	PUNCT
fis-1354	396	28	european	european	PROPN
fis-1354	396	29	journal	journal	PROPN
fis-1354	396	30	of	of	ADP
fis-1354	396	31	scientific	scientific	ADJ
fis-1354	396	32	research	research	NOUN
fis-1354	396	33	,	,	PUNCT
fis-1354	396	34	28	28	NUM
fis-1354	396	35	(	(	PUNCT
fis-1354	396	36	2009	2009	NUM
fis-1354	396	37	)	)	PUNCT
fis-1354	396	38	364	364	NUM
fis-1354	396	39	-	-	SYM
fis-1354	396	40	397	397	NUM
fis-1354	396	41	.	.	PUNCT
fis-1354	397	1	[	[	X
fis-1354	397	2	5	5	NUM
fis-1354	397	3	]	]	PUNCT
fis-1354	397	4	coffin	coffin	NOUN
fis-1354	397	5	,	,	PUNCT
fis-1354	397	6	l.f	l.f	PROPN
fis-1354	397	7	.	.	PROPN
fis-1354	397	8	,	,	PUNCT
fis-1354	397	9	a	a	DET
fis-1354	397	10	study	study	NOUN
fis-1354	397	11	of	of	ADP
fis-1354	397	12	the	the	DET
fis-1354	397	13	effects	effect	NOUN
fis-1354	397	14	of	of	ADP
fis-1354	397	15	the	the	DET
fis-1354	397	16	cyclic	cyclic	ADJ
fis-1354	397	17	thermal	thermal	ADJ
fis-1354	397	18	stresses	stress	NOUN
fis-1354	397	19	on	on	ADP
fis-1354	397	20	a	a	DET
fis-1354	397	21	ductile	ductile	NOUN
fis-1354	397	22	metal	metal	NOUN
fis-1354	397	23	,	,	PUNCT
fis-1354	397	24	translations	translation	NOUN
fis-1354	397	25	of	of	ADP
fis-1354	397	26	the	the	DET
fis-1354	397	27	asme	asme	PROPN
fis-1354	397	28	,	,	PUNCT
fis-1354	397	29	76	76	NUM
fis-1354	397	30	(	(	PUNCT
fis-1354	397	31	1954	1954	NUM
fis-1354	397	32	)	)	PUNCT
fis-1354	397	33	931	931	NUM
fis-1354	397	34	-	-	SYM
fis-1354	397	35	950	950	NUM
fis-1354	397	36	.	.	PUNCT
fis-1354	398	1	[	[	X
fis-1354	398	2	6	6	NUM
fis-1354	398	3	]	]	X
fis-1354	398	4	manson	manson	PROPN
fis-1354	398	5	,	,	PUNCT
fis-1354	398	6	s.s	s.s	PROPN
fis-1354	398	7	.	.	PROPN
fis-1354	398	8	,	,	PUNCT
fis-1354	398	9	behaviour	behaviour	NOUN
fis-1354	398	10	of	of	ADP
fis-1354	398	11	materials	material	NOUN
fis-1354	398	12	under	under	ADP
fis-1354	398	13	conditions	condition	NOUN
fis-1354	398	14	of	of	ADP
fis-1354	398	15	thermal	thermal	ADJ
fis-1354	398	16	stress	stress	NOUN
fis-1354	398	17	,	,	PUNCT
fis-1354	398	18	naca	naca	ADJ
fis-1354	398	19	tn-2933	tn-2933	NOUN
fis-1354	398	20	,	,	PUNCT
fis-1354	398	21	national	national	ADJ
fis-1354	398	22	advisory	advisory	ADJ
fis-1354	398	23	committee	committee	NOUN
fis-1354	398	24	for	for	ADP
fis-1354	398	25	aeronautics	aeronautic	NOUN
fis-1354	398	26	,	,	PUNCT
fis-1354	398	27	(	(	PUNCT
fis-1354	398	28	1954	1954	NUM
fis-1354	398	29	)	)	PUNCT
fis-1354	398	30	.	.	PUNCT
fis-1354	399	1	[	[	X
fis-1354	399	2	7	7	X
fis-1354	399	3	]	]	X
fis-1354	399	4	morrow	morrow	NOUN
fis-1354	399	5	,	,	PUNCT
fis-1354	399	6	j.d	j.d	PROPN
fis-1354	399	7	.	.	PROPN
fis-1354	399	8	,	,	PUNCT
fis-1354	399	9	cyclic	cyclic	ADJ
fis-1354	399	10	plastic	plastic	NOUN
fis-1354	399	11	strain	strain	NOUN
fis-1354	399	12	energy	energy	NOUN
fis-1354	399	13	and	and	CCONJ
fis-1354	399	14	fatigue	fatigue	NOUN
fis-1354	399	15	of	of	ADP
fis-1354	399	16	metals	metal	NOUN
fis-1354	399	17	,	,	PUNCT
fis-1354	399	18	int	int	NOUN
fis-1354	399	19	.	.	PUNCT
fis-1354	400	1	friction	friction	NOUN
fis-1354	400	2	,	,	PUNCT
fis-1354	400	3	damping	damp	VERB
fis-1354	400	4	and	and	CCONJ
fis-1354	400	5	cyclic	cyclic	ADJ
fis-1354	400	6	plasticity	plasticity	NOUN
fis-1354	400	7	,	,	PUNCT
fis-1354	400	8	astm	astm	PROPN
fis-1354	400	9	stp	stp	PROPN
fis-1354	400	10	378	378	NUM
fis-1354	400	11	,	,	PUNCT
fis-1354	400	12	(	(	PUNCT
fis-1354	400	13	1965	1965	NUM
fis-1354	400	14	)	)	PUNCT
fis-1354	400	15	45	45	NUM
fis-1354	400	16	-	-	SYM
fis-1354	400	17	87	87	NUM
fis-1354	400	18	.	.	PUNCT
fis-1354	401	1	[	[	X
fis-1354	401	2	8	8	NUM
fis-1354	401	3	]	]	X
fis-1354	401	4	smith	smith	PROPN
fis-1354	401	5	,	,	PUNCT
fis-1354	401	6	k.n	k.n	PROPN
fis-1354	401	7	.	.	PROPN
fis-1354	401	8	,	,	PUNCT
fis-1354	401	9	watson	watson	PROPN
fis-1354	401	10	,	,	PUNCT
fis-1354	401	11	p.	p.	NOUN
fis-1354	401	12	,	,	PUNCT
fis-1354	401	13	topper	topper	NOUN
fis-1354	401	14	,	,	PUNCT
fis-1354	401	15	t.h	t.h	PROPN
fis-1354	401	16	.	.	PROPN
fis-1354	401	17	,	,	PUNCT
fis-1354	401	18	a	a	DET
fis-1354	401	19	stress	stress	NOUN
fis-1354	401	20	-	-	PUNCT
fis-1354	401	21	strain	strain	NOUN
fis-1354	401	22	function	function	NOUN
fis-1354	401	23	for	for	ADP
fis-1354	401	24	the	the	DET
fis-1354	401	25	fatigue	fatigue	NOUN
fis-1354	401	26	of	of	ADP
fis-1354	401	27	metals	metal	NOUN
fis-1354	401	28	,	,	PUNCT
fis-1354	401	29	journal	journal	NOUN
fis-1354	401	30	of	of	ADP
fis-1354	401	31	materials	material	NOUN
fis-1354	401	32	,	,	PUNCT
fis-1354	401	33	5(4	5(4	NUM
fis-1354	401	34	)	)	PUNCT
fis-1354	401	35	(	(	PUNCT
fis-1354	401	36	1970	1970	NUM
fis-1354	401	37	)	)	PUNCT
fis-1354	401	38	767	767	NUM
fis-1354	401	39	-	-	SYM
fis-1354	401	40	778	778	NUM
fis-1354	401	41	.	.	PUNCT
fis-1354	402	1	[	[	X
fis-1354	402	2	9	9	NUM
fis-1354	402	3	]	]	SYM
fis-1354	402	4	shang	shang	PROPN
fis-1354	402	5	,	,	PUNCT
fis-1354	402	6	d.-g	d.-g	PROPN
fis-1354	402	7	.	.	PUNCT
fis-1354	402	8	,	,	PUNCT
fis-1354	402	9	wang	wang	PROPN
fis-1354	402	10	,	,	PUNCT
fis-1354	402	11	d.-k	d.-k	PROPN
fis-1354	402	12	.	.	PUNCT
fis-1354	402	13	,	,	PUNCT
fis-1354	402	14	li	li	PROPN
fis-1354	402	15	,	,	PUNCT
fis-1354	402	16	m.	m.	NOUN
fis-1354	402	17	,	,	PUNCT
fis-1354	402	18	yao	yao	PROPN
fis-1354	402	19	,	,	PUNCT
fis-1354	402	20	w.-x	w.-x	PROPN
fis-1354	402	21	.	.	PUNCT
fis-1354	402	22	,	,	PUNCT
fis-1354	402	23	local	local	ADJ
fis-1354	402	24	stress	stress	NOUN
fis-1354	402	25	–	–	PUNCT
fis-1354	402	26	strain	strain	NOUN
fis-1354	402	27	field	field	NOUN
fis-1354	402	28	intensity	intensity	NOUN
fis-1354	402	29	approach	approach	NOUN
fis-1354	402	30	to	to	ADP
fis-1354	402	31	fatigue	fatigue	NOUN
fis-1354	402	32	life	life	NOUN
fis-1354	402	33	prediction	prediction	NOUN
fis-1354	402	34	under	under	ADP
fis-1354	402	35	random	random	ADJ
fis-1354	402	36	cyclic	cyclic	ADJ
fis-1354	402	37	loading	loading	NOUN
fis-1354	402	38	,	,	PUNCT
fis-1354	402	39	international	international	ADJ
fis-1354	402	40	journal	journal	NOUN
fis-1354	402	41	of	of	ADP
fis-1354	402	42	fatigue	fatigue	NOUN
fis-1354	402	43	,	,	PUNCT
fis-1354	402	44	23	23	NUM
fis-1354	402	45	(	(	PUNCT
fis-1354	402	46	2001	2001	NUM
fis-1354	402	47	)	)	PUNCT
fis-1354	402	48	903–910	903–910	NUM
fis-1354	402	49	.	.	PUNCT
fis-1354	403	1	[	[	X
fis-1354	403	2	10	10	NUM
fis-1354	403	3	]	]	X
fis-1354	403	4	noroozi	noroozi	PROPN
fis-1354	403	5	,	,	PUNCT
fis-1354	403	6	a.h	a.h	PROPN
fis-1354	403	7	.	.	PROPN
fis-1354	403	8	,	,	PUNCT
fis-1354	403	9	glinka	glinka	PROPN
fis-1354	403	10	,	,	PUNCT
fis-1354	403	11	g.	g.	PROPN
fis-1354	403	12	,	,	PUNCT
fis-1354	403	13	lambert	lambert	PROPN
fis-1354	403	14	,	,	PUNCT
fis-1354	403	15	s.	s.	PROPN
fis-1354	403	16	,	,	PUNCT
fis-1354	403	17	a	a	DET
fis-1354	403	18	study	study	NOUN
fis-1354	403	19	of	of	ADP
fis-1354	403	20	the	the	DET
fis-1354	403	21	stress	stress	NOUN
fis-1354	403	22	ratio	ratio	NOUN
fis-1354	403	23	effects	effect	NOUN
fis-1354	403	24	on	on	ADP
fis-1354	403	25	fatigue	fatigue	NOUN
fis-1354	403	26	crack	crack	NOUN
fis-1354	403	27	growth	growth	NOUN
fis-1354	403	28	using	use	VERB
fis-1354	403	29	the	the	DET
fis-1354	403	30	unified	unified	ADJ
fis-1354	403	31	two	two	NUM
fis-1354	403	32	-	-	PUNCT
fis-1354	403	33	parameter	parameter	NOUN
fis-1354	403	34	fatigue	fatigue	NOUN
fis-1354	403	35	crack	crack	VERB
fis-1354	403	36	growth	growth	NOUN
fis-1354	403	37	driving	driving	NOUN
fis-1354	403	38	force	force	NOUN
fis-1354	403	39	,	,	PUNCT
fis-1354	403	40	international	international	ADJ
fis-1354	403	41	journal	journal	NOUN
fis-1354	403	42	of	of	ADP
fis-1354	403	43	fatigue	fatigue	NOUN
fis-1354	403	44	,	,	PUNCT
fis-1354	403	45	29	29	NUM
fis-1354	403	46	(	(	PUNCT
fis-1354	403	47	2007	2007	NUM
fis-1354	403	48	)	)	PUNCT
fis-1354	403	49	1616	1616	NUM
fis-1354	403	50	-	-	SYM
fis-1354	403	51	1633	1633	NUM
fis-1354	403	52	.	.	PUNCT
fis-1354	404	1	[	[	X
fis-1354	404	2	11	11	NUM
fis-1354	404	3	]	]	SYM
fis-1354	404	4	noroozi	noroozi	PROPN
fis-1354	404	5	,	,	PUNCT
fis-1354	404	6	a.h	a.h	PROPN
fis-1354	404	7	.	.	PROPN
fis-1354	404	8	,	,	PUNCT
fis-1354	404	9	glinka	glinka	PROPN
fis-1354	404	10	,	,	PUNCT
fis-1354	404	11	g.	g.	PROPN
fis-1354	404	12	,	,	PUNCT
fis-1354	404	13	lambert	lambert	PROPN
fis-1354	404	14	,	,	PUNCT
fis-1354	404	15	s.	s.	PROPN
fis-1354	404	16	,	,	PUNCT
fis-1354	404	17	prediction	prediction	NOUN
fis-1354	404	18	of	of	ADP
fis-1354	404	19	fatigue	fatigue	NOUN
fis-1354	404	20	crack	crack	VERB
fis-1354	404	21	growth	growth	NOUN
fis-1354	404	22	under	under	ADP
fis-1354	404	23	constant	constant	ADJ
fis-1354	404	24	amplitude	amplitude	NOUN
fis-1354	404	25	loading	loading	NOUN
fis-1354	404	26	and	and	CCONJ
fis-1354	404	27	a	a	DET
fis-1354	404	28	single	single	ADJ
fis-1354	404	29	overload	overload	NOUN
fis-1354	404	30	based	base	VERB
fis-1354	404	31	on	on	ADP
fis-1354	404	32	elasto	elasto	NOUN
fis-1354	404	33	-	-	PUNCT
fis-1354	404	34	plastic	plastic	NOUN
fis-1354	404	35	crack	crack	NOUN
fis-1354	404	36	tip	tip	NOUN
fis-1354	404	37	stresses	stress	NOUN
fis-1354	404	38	and	and	CCONJ
fis-1354	404	39	strains	strain	NOUN
fis-1354	404	40	,	,	PUNCT
fis-1354	404	41	engineering	engineering	NOUN
fis-1354	404	42	fracture	fracture	NOUN
fis-1354	404	43	mechanics	mechanic	NOUN
fis-1354	404	44	,	,	PUNCT
fis-1354	404	45	75	75	NUM
fis-1354	404	46	(	(	PUNCT
fis-1354	404	47	2008	2008	NUM
fis-1354	404	48	)	)	PUNCT
fis-1354	404	49	188206	188206	NUM
fis-1354	404	50	.	.	PUNCT
fis-1354	405	1	[	[	X
fis-1354	405	2	12	12	NUM
fis-1354	405	3	]	]	PUNCT
fis-1354	405	4	peeker	peeker	NOUN
fis-1354	405	5	,	,	PUNCT
fis-1354	405	6	e.	e.	PROPN
fis-1354	405	7	,	,	PUNCT
fis-1354	405	8	niemi	niemi	PROPN
fis-1354	405	9	,	,	PUNCT
fis-1354	405	10	e.	e.	PROPN
fis-1354	405	11	,	,	PUNCT
fis-1354	405	12	fatigue	fatigue	NOUN
fis-1354	405	13	crack	crack	NOUN
fis-1354	405	14	propagation	propagation	NOUN
fis-1354	405	15	model	model	NOUN
fis-1354	405	16	based	base	VERB
fis-1354	405	17	on	on	ADP
fis-1354	405	18	a	a	DET
fis-1354	405	19	local	local	ADJ
fis-1354	405	20	strain	strain	NOUN
fis-1354	405	21	approach	approach	NOUN
fis-1354	405	22	,	,	PUNCT
fis-1354	405	23	journal	journal	NOUN
fis-1354	405	24	of	of	ADP
fis-1354	405	25	constructional	constructional	ADJ
fis-1354	405	26	steel	steel	NOUN
fis-1354	405	27	research	research	NOUN
fis-1354	405	28	,	,	PUNCT
fis-1354	405	29	49	49	NUM
fis-1354	405	30	(	(	PUNCT
fis-1354	405	31	1999	1999	NUM
fis-1354	405	32	)	)	PUNCT
fis-1354	405	33	139–155	139–155	NUM
fis-1354	405	34	.	.	PUNCT
fis-1354	406	1	[	[	X
fis-1354	406	2	13	13	NUM
fis-1354	406	3	]	]	PUNCT
fis-1354	406	4	glinka	glinka	PROPN
fis-1354	406	5	,	,	PUNCT
fis-1354	406	6	g.	g.	PROPN
fis-1354	406	7	,	,	PUNCT
fis-1354	406	8	a	a	DET
fis-1354	406	9	notch	notch	ADJ
fis-1354	406	10	stress	stress	NOUN
fis-1354	406	11	-	-	PUNCT
fis-1354	406	12	strain	strain	NOUN
fis-1354	406	13	analysis	analysis	NOUN
fis-1354	406	14	approach	approach	NOUN
fis-1354	406	15	to	to	ADP
fis-1354	406	16	fatigue	fatigue	NOUN
fis-1354	406	17	crack	crack	NOUN
fis-1354	406	18	growth	growth	NOUN
fis-1354	406	19	,	,	PUNCT
fis-1354	406	20	engineering	engineering	NOUN
fis-1354	406	21	fracture	fracture	NOUN
fis-1354	406	22	mechanics	mechanic	NOUN
fis-1354	406	23	,	,	PUNCT
fis-1354	406	24	21	21	NUM
fis-1354	406	25	(	(	PUNCT
fis-1354	406	26	1985	1985	NUM
fis-1354	406	27	)	)	PUNCT
fis-1354	406	28	245	245	NUM
fis-1354	406	29	-	-	SYM
fis-1354	406	30	261	261	NUM
fis-1354	406	31	.	.	PUNCT
fis-1354	407	1	[	[	X
fis-1354	407	2	14	14	NUM
fis-1354	407	3	]	]	X
fis-1354	407	4	hurley	hurley	PROPN
fis-1354	407	5	,	,	PUNCT
fis-1354	407	6	p.j	p.j	PROPN
fis-1354	407	7	.	.	PROPN
fis-1354	407	8	,	,	PUNCT
fis-1354	407	9	evans	evans	PROPN
fis-1354	407	10	,	,	PUNCT
fis-1354	407	11	w.j	w.j	PROPN
fis-1354	407	12	.	.	PROPN
fis-1354	407	13	,	,	PUNCT
fis-1354	407	14	a	a	DET
fis-1354	407	15	methodology	methodology	NOUN
fis-1354	407	16	for	for	ADP
fis-1354	407	17	predicting	predict	VERB
fis-1354	407	18	fatigue	fatigue	NOUN
fis-1354	407	19	crack	crack	VERB
fis-1354	407	20	propagation	propagation	NOUN
fis-1354	407	21	rates	rate	NOUN
fis-1354	407	22	in	in	ADP
fis-1354	407	23	titanium	titanium	NOUN
fis-1354	407	24	based	base	VERB
fis-1354	407	25	on	on	ADP
fis-1354	407	26	damage	damage	NOUN
fis-1354	407	27	accumulation	accumulation	NOUN
fis-1354	407	28	,	,	PUNCT
fis-1354	407	29	scripta	scripta	PROPN
fis-1354	407	30	materialia	materialia	PROPN
fis-1354	407	31	,	,	PUNCT
fis-1354	407	32	56	56	NUM
fis-1354	407	33	(	(	PUNCT
fis-1354	407	34	2007	2007	NUM
fis-1354	407	35	)	)	PUNCT
fis-1354	407	36	681–684	681–684	NUM
fis-1354	407	37	.	.	PUNCT
fis-1354	408	1	[	[	X
fis-1354	408	2	15	15	NUM
fis-1354	408	3	]	]	X
fis-1354	408	4	neuber	neuber	PROPN
fis-1354	408	5	,	,	PUNCT
fis-1354	408	6	h.	h.	PROPN
fis-1354	408	7	,	,	PUNCT
fis-1354	408	8	theory	theory	NOUN
fis-1354	408	9	of	of	ADP
fis-1354	408	10	stress	stress	ADJ
fis-1354	408	11	concentration	concentration	NOUN
fis-1354	408	12	for	for	ADP
fis-1354	408	13	shear	shear	NOUN
fis-1354	408	14	-	-	PUNCT
fis-1354	408	15	strained	strain	VERB
fis-1354	408	16	prismatic	prismatic	ADJ
fis-1354	408	17	bodies	body	NOUN
fis-1354	408	18	with	with	ADP
fis-1354	408	19	arbitrary	arbitrary	ADJ
fis-1354	408	20	nonlinear	nonlinear	ADJ
fis-1354	408	21	stress	stress	NOUN
fis-1354	408	22	–	–	PUNCT
fis-1354	408	23	strain	strain	NOUN
fis-1354	408	24	law	law	NOUN
fis-1354	408	25	,	,	PUNCT
fis-1354	408	26	trans	trans	PROPN
fis-1354	408	27	.	.	PROPN
fis-1354	409	1	asme	asme	PROPN
fis-1354	409	2	journal	journal	PROPN
fis-1354	409	3	of	of	ADP
fis-1354	409	4	applied	apply	VERB
fis-1354	409	5	mechanics	mechanic	NOUN
fis-1354	409	6	,	,	PUNCT
fis-1354	409	7	28	28	NUM
fis-1354	409	8	(	(	PUNCT
fis-1354	409	9	1961	1961	NUM
fis-1354	409	10	)	)	PUNCT
fis-1354	409	11	544–551	544–551	NUM
fis-1354	409	12	.	.	PUNCT
fis-1354	410	1	[	[	X
fis-1354	410	2	16	16	NUM
fis-1354	410	3	]	]	SYM
fis-1354	410	4	moftakhar	moftakhar	PROPN
fis-1354	410	5	,	,	PUNCT
fis-1354	410	6	a.	a.	NOUN
fis-1354	410	7	,	,	PUNCT
fis-1354	410	8	buczynski	buczynski	PROPN
fis-1354	410	9	,	,	PUNCT
fis-1354	410	10	a.	a.	NOUN
fis-1354	410	11	,	,	PUNCT
fis-1354	410	12	glinka	glinka	PROPN
fis-1354	410	13	,	,	PUNCT
fis-1354	410	14	g.	g.	PROPN
fis-1354	410	15	,	,	PUNCT
fis-1354	410	16	calculation	calculation	NOUN
fis-1354	410	17	of	of	ADP
fis-1354	410	18	elasto	elasto	NOUN
fis-1354	410	19	-	-	PUNCT
fis-1354	410	20	plastic	plastic	NOUN
fis-1354	410	21	strains	strain	NOUN
fis-1354	410	22	and	and	CCONJ
fis-1354	410	23	stresses	stress	NOUN
fis-1354	410	24	in	in	ADP
fis-1354	410	25	notches	notch	NOUN
fis-1354	410	26	under	under	ADP
fis-1354	410	27	multiaxial	multiaxial	ADJ
fis-1354	410	28	loading	loading	NOUN
fis-1354	410	29	,	,	PUNCT
fis-1354	410	30	international	international	ADJ
fis-1354	410	31	journal	journal	NOUN
fis-1354	410	32	of	of	ADP
fis-1354	410	33	fracture	fracture	NOUN
fis-1354	410	34	,	,	PUNCT
fis-1354	410	35	70	70	NUM
fis-1354	410	36	(	(	PUNCT
fis-1354	410	37	1995	1995	NUM
fis-1354	410	38	)	)	PUNCT
fis-1354	410	39	357	357	NUM
fis-1354	410	40	-	-	SYM
fis-1354	410	41	373	373	NUM
fis-1354	410	42	.	.	PUNCT
fis-1354	411	1	[	[	X
fis-1354	411	2	17	17	NUM
fis-1354	411	3	]	]	X
fis-1354	411	4	reinhard	reinhard	PROPN
fis-1354	411	5	,	,	PUNCT
fis-1354	411	6	w.	w.	PROPN
fis-1354	411	7	,	,	PUNCT
fis-1354	411	8	moftakhar	moftakhar	PROPN
fis-1354	411	9	,	,	PUNCT
fis-1354	411	10	a.	a.	NOUN
fis-1354	411	11	,	,	PUNCT
fis-1354	411	12	glinka	glinka	PROPN
fis-1354	411	13	,	,	PUNCT
fis-1354	411	14	g.	g.	PROPN
fis-1354	411	15	,	,	PUNCT
fis-1354	411	16	an	an	DET
fis-1354	411	17	efficient	efficient	ADJ
fis-1354	411	18	method	method	NOUN
fis-1354	411	19	for	for	ADP
fis-1354	411	20	calculating	calculate	VERB
fis-1354	411	21	multiaxial	multiaxial	ADJ
fis-1354	411	22	elasto	elasto	NOUN
fis-1354	411	23	-	-	PUNCT
fis-1354	411	24	plastic	plastic	NOUN
fis-1354	411	25	notch	notch	NOUN
fis-1354	411	26	tip	tip	NOUN
fis-1354	411	27	strains	strain	NOUN
fis-1354	411	28	and	and	CCONJ
fis-1354	411	29	stresses	stress	NOUN
fis-1354	411	30	under	under	ADP
fis-1354	411	31	proportional	proportional	ADJ
fis-1354	411	32	loading	loading	NOUN
fis-1354	411	33	,	,	PUNCT
fis-1354	411	34	fatigue	fatigue	NOUN
fis-1354	411	35	and	and	CCONJ
fis-1354	411	36	fracture	fracture	NOUN
fis-1354	411	37	mechanics	mechanic	NOUN
fis-1354	411	38	,	,	PUNCT
fis-1354	411	39	astm	astm	PROPN
fis-1354	411	40	stp	stp	PROPN
fis-1354	411	41	1296	1296	NUM
fis-1354	411	42	,	,	PUNCT
fis-1354	411	43	r.s	r.s	PROPN
fis-1354	411	44	.	.	PROPN
fis-1354	411	45	piascik	piascik	PROPN
fis-1354	411	46	,	,	PUNCT
fis-1354	411	47	j.c	j.c	PROPN
fis-1354	411	48	.	.	PROPN
fis-1354	411	49	newman	newman	PROPN
fis-1354	411	50	,	,	PUNCT
fis-1354	411	51	n.e	n.e	PROPN
fis-1354	411	52	.	.	PUNCT
fis-1354	411	53	dowling	dowling	PROPN
fis-1354	411	54	,	,	PUNCT
fis-1354	411	55	eds	eds	PROPN
fis-1354	411	56	.	.	PROPN
fis-1354	411	57	,	,	PUNCT
fis-1354	411	58	american	american	ADJ
fis-1354	411	59	society	society	NOUN
fis-1354	411	60	for	for	ADP
fis-1354	411	61	testing	testing	NOUN
fis-1354	411	62	and	and	CCONJ
fis-1354	411	63	materials	material	NOUN
fis-1354	411	64	,	,	PUNCT
fis-1354	411	65	27	27	NUM
fis-1354	411	66	(	(	PUNCT
fis-1354	411	67	1997	1997	NUM
fis-1354	411	68	)	)	PUNCT
fis-1354	411	69	613	613	NUM
fis-1354	411	70	-	-	SYM
fis-1354	411	71	629	629	NUM
fis-1354	411	72	.	.	PUNCT
fis-1354	412	1	[	[	X
fis-1354	412	2	18	18	NUM
fis-1354	412	3	]	]	PUNCT
fis-1354	412	4	mikheevskiy	mikheevskiy	NOUN
fis-1354	412	5	,	,	PUNCT
fis-1354	412	6	s.	s.	PROPN
fis-1354	412	7	,	,	PUNCT
fis-1354	412	8	glinka	glinka	PROPN
fis-1354	412	9	,	,	PUNCT
fis-1354	412	10	g.	g.	PROPN
fis-1354	412	11	,	,	PUNCT
fis-1354	412	12	elastic	elastic	ADJ
fis-1354	412	13	–	–	PUNCT
fis-1354	412	14	plastic	plastic	NOUN
fis-1354	412	15	fatigue	fatigue	NOUN
fis-1354	412	16	crack	crack	VERB
fis-1354	412	17	growth	growth	NOUN
fis-1354	412	18	analysis	analysis	NOUN
fis-1354	412	19	under	under	ADP
fis-1354	412	20	variable	variable	ADJ
fis-1354	412	21	amplitude	amplitude	NOUN
fis-1354	412	22	loading	loading	NOUN
fis-1354	412	23	spectra	spectra	NOUN
fis-1354	412	24	,	,	PUNCT
fis-1354	412	25	”	"	PUNCT
fis-1354	412	26	international	international	ADJ
fis-1354	412	27	journal	journal	NOUN
fis-1354	412	28	of	of	ADP
fis-1354	412	29	fatigue	fatigue	NOUN
fis-1354	412	30	,	,	PUNCT
fis-1354	412	31	31	31	NUM
fis-1354	412	32	(	(	PUNCT
fis-1354	412	33	2009	2009	NUM
fis-1354	412	34	)	)	PUNCT
fis-1354	412	35	1828–1836	1828–1836	NUM
fis-1354	412	36	.	.	PUNCT
fis-1354	413	1	[	[	X
fis-1354	413	2	19	19	NUM
fis-1354	413	3	]	]	X
fis-1354	413	4	de	de	X
fis-1354	413	5	jesus	jesus	PROPN
fis-1354	413	6	,	,	PUNCT
fis-1354	413	7	a.m.p	a.m.p	PROPN
fis-1354	413	8	.	.	PROPN
fis-1354	413	9	,	,	PUNCT
fis-1354	413	10	matos	matos	PROPN
fis-1354	413	11	,	,	PUNCT
fis-1354	413	12	r.	r.	PROPN
fis-1354	413	13	,	,	PUNCT
fis-1354	413	14	fontoura	fontoura	NOUN
fis-1354	413	15	,	,	PUNCT
fis-1354	413	16	b.f.c	b.f.c	PROPN
fis-1354	413	17	.	.	PUNCT
fis-1354	413	18	,	,	PUNCT
fis-1354	413	19	rebelo	rebelo	NOUN
fis-1354	413	20	,	,	PUNCT
fis-1354	413	21	c.	c.	NOUN
fis-1354	413	22	,	,	PUNCT
fis-1354	413	23	simões	simões	ADJ
fis-1354	413	24	da	da	PROPN
fis-1354	413	25	silva	silva	PROPN
fis-1354	413	26	,	,	PUNCT
fis-1354	413	27	l.	l.	PROPN
fis-1354	413	28	,	,	PUNCT
fis-1354	413	29	veljkovic	veljkovic	PROPN
fis-1354	413	30	,	,	PUNCT
fis-1354	413	31	m.	m.	NOUN
fis-1354	413	32	,	,	PUNCT
fis-1354	413	33	a	a	DET
fis-1354	413	34	comparison	comparison	NOUN
fis-1354	413	35	of	of	ADP
fis-1354	413	36	the	the	DET
fis-1354	413	37	fatigue	fatigue	NOUN
fis-1354	413	38	behavior	behavior	NOUN
fis-1354	413	39	between	between	ADP
fis-1354	413	40	s355	s355	PROPN
fis-1354	413	41	and	and	CCONJ
fis-1354	413	42	s690	s690	PROPN
fis-1354	413	43	steel	steel	NOUN
fis-1354	413	44	grades	grade	NOUN
fis-1354	413	45	,	,	PUNCT
fis-1354	413	46	journal	journal	NOUN
fis-1354	413	47	of	of	ADP
fis-1354	413	48	constructional	constructional	ADJ
fis-1354	413	49	steel	steel	NOUN
fis-1354	413	50	research	research	NOUN
fis-1354	413	51	,	,	PUNCT
fis-1354	413	52	79	79	NUM
fis-1354	413	53	(	(	PUNCT
fis-1354	413	54	2012	2012	NUM
fis-1354	413	55	)	)	PUNCT
fis-1354	413	56	140–150	140–150	NUM
fis-1354	413	57	.	.	PUNCT
fis-1354	414	1	[	[	X
fis-1354	414	2	20	20	NUM
fis-1354	414	3	]	]	X
fis-1354	414	4	castillo	castillo	PROPN
fis-1354	414	5	,	,	PUNCT
fis-1354	414	6	e.	e.	PROPN
fis-1354	414	7	,	,	PUNCT
fis-1354	414	8	fernández	fernández	PROPN
fis-1354	414	9	-	-	PUNCT
fis-1354	414	10	canteli	canteli	PROPN
fis-1354	414	11	,	,	PUNCT
fis-1354	414	12	a.	a.	NOUN
fis-1354	414	13	,	,	PUNCT
fis-1354	414	14	a	a	DET
fis-1354	414	15	unified	unified	ADJ
fis-1354	414	16	statistical	statistical	ADJ
fis-1354	414	17	methodology	methodology	NOUN
fis-1354	414	18	for	for	ADP
fis-1354	414	19	modeling	model	VERB
fis-1354	414	20	fatigue	fatigue	NOUN
fis-1354	414	21	damage	damage	NOUN
fis-1354	414	22	,	,	PUNCT
fis-1354	414	23	springer	springer	NOUN
fis-1354	414	24	,	,	PUNCT
fis-1354	414	25	(	(	PUNCT
fis-1354	414	26	2009	2009	NUM
fis-1354	414	27	)	)	PUNCT
fis-1354	414	28	.	.	PUNCT
fis-1354	415	1	[	[	X
fis-1354	415	2	21	21	NUM
fis-1354	415	3	]	]	X
fis-1354	415	4	basquin	basquin	NOUN
fis-1354	415	5	,	,	PUNCT
fis-1354	415	6	o.h	o.h	PROPN
fis-1354	415	7	.	.	PROPN
fis-1354	415	8	,	,	PUNCT
fis-1354	415	9	the	the	DET
fis-1354	415	10	exponential	exponential	ADJ
fis-1354	415	11	law	law	NOUN
fis-1354	415	12	of	of	ADP
fis-1354	415	13	endurance	endurance	NOUN
fis-1354	415	14	tests	test	NOUN
fis-1354	415	15	,	,	PUNCT
fis-1354	415	16	in	in	ADP
fis-1354	415	17	:	:	PUNCT
fis-1354	415	18	proc	proc	NOUN
fis-1354	415	19	.	.	PUNCT
fis-1354	415	20	annual	annual	ADJ
fis-1354	415	21	meeting	meeting	NOUN
fis-1354	415	22	,	,	PUNCT
fis-1354	415	23	american	american	ADJ
fis-1354	415	24	society	society	NOUN
fis-1354	415	25	for	for	ADP
fis-1354	415	26	testing	testing	NOUN
fis-1354	415	27	materials	material	NOUN
fis-1354	415	28	,	,	PUNCT
fis-1354	415	29	10	10	NUM
fis-1354	415	30	(	(	PUNCT
fis-1354	415	31	1910	1910	NUM
fis-1354	415	32	)	)	PUNCT
fis-1354	415	33	625	625	NUM
fis-1354	415	34	-	-	SYM
fis-1354	415	35	630	630	NUM
fis-1354	415	36	.	.	PUNCT
fis-1354	416	1	[	[	X
fis-1354	416	2	22	22	NUM
fis-1354	416	3	]	]	X
fis-1354	416	4	creager	creager	PROPN
fis-1354	416	5	,	,	PUNCT
fis-1354	416	6	m.	m.	NOUN
fis-1354	416	7	,	,	PUNCT
fis-1354	416	8	paris	paris	PROPN
fis-1354	416	9	,	,	PUNCT
fis-1354	416	10	p.c	p.c	PROPN
fis-1354	416	11	.	.	PROPN
fis-1354	416	12	,	,	PUNCT
fis-1354	416	13	elastic	elastic	ADJ
fis-1354	416	14	field	field	NOUN
fis-1354	416	15	equations	equation	NOUN
fis-1354	416	16	for	for	ADP
fis-1354	416	17	blunt	blunt	ADJ
fis-1354	416	18	cracks	crack	NOUN
fis-1354	416	19	with	with	ADP
fis-1354	416	20	reference	reference	NOUN
fis-1354	416	21	to	to	AUX
fis-1354	416	22	stress	stress	VERB
fis-1354	416	23	corrosion	corrosion	NOUN
fis-1354	416	24	cracking	cracking	NOUN
fis-1354	416	25	,	,	PUNCT
fis-1354	416	26	international	international	ADJ
fis-1354	416	27	journal	journal	NOUN
fis-1354	416	28	of	of	ADP
fis-1354	416	29	fracture	fracture	PROPN
fis-1354	416	30	mechanics	mechanic	NOUN
fis-1354	416	31	,	,	PUNCT
fis-1354	416	32	3	3	NUM
fis-1354	416	33	(	(	PUNCT
fis-1354	416	34	1967	1967	NUM
fis-1354	416	35	)	)	PUNCT
fis-1354	416	36	247–252	247–252	NUM
fis-1354	416	37	.	.	PUNCT
fis-1354	417	1	[	[	X
fis-1354	417	2	23	23	NUM
fis-1354	417	3	]	]	X
fis-1354	417	4	molski	molski	NOUN
fis-1354	417	5	,	,	PUNCT
fis-1354	417	6	k.	k.	PROPN
fis-1354	417	7	,	,	PUNCT
fis-1354	417	8	glinka	glinka	PROPN
fis-1354	417	9	,	,	PUNCT
fis-1354	417	10	g.	g.	PROPN
fis-1354	417	11	,	,	PUNCT
fis-1354	417	12	a	a	DET
fis-1354	417	13	method	method	NOUN
fis-1354	417	14	of	of	ADP
fis-1354	417	15	elastic	elastic	ADJ
fis-1354	417	16	-	-	PUNCT
fis-1354	417	17	plastic	plastic	NOUN
fis-1354	417	18	stress	stress	NOUN
fis-1354	417	19	and	and	CCONJ
fis-1354	417	20	strain	strain	VERB
fis-1354	417	21	calculation	calculation	NOUN
fis-1354	417	22	at	at	ADP
fis-1354	417	23	a	a	DET
fis-1354	417	24	notch	notch	ADJ
fis-1354	417	25	root	root	NOUN
fis-1354	417	26	,	,	PUNCT
fis-1354	417	27	materials	material	NOUN
fis-1354	417	28	science	science	NOUN
fis-1354	417	29	and	and	CCONJ
fis-1354	417	30	engineering	engineering	NOUN
fis-1354	417	31	,	,	PUNCT
fis-1354	417	32	50	50	NUM
fis-1354	417	33	(	(	PUNCT
fis-1354	417	34	1981	1981	NUM
fis-1354	417	35	)	)	PUNCT
fis-1354	417	36	93	93	NUM
fis-1354	417	37	-	-	SYM
fis-1354	417	38	100	100	NUM
fis-1354	417	39	.	.	PUNCT
fis-1354	418	1	[	[	X
fis-1354	418	2	24	24	NUM
fis-1354	418	3	]	]	PUNCT
fis-1354	418	4	glinka	glinka	PROPN
fis-1354	418	5	,	,	PUNCT
fis-1354	418	6	g.	g.	PROPN
fis-1354	418	7	,	,	PUNCT
fis-1354	418	8	development	development	NOUN
fis-1354	418	9	of	of	ADP
fis-1354	418	10	weight	weight	NOUN
fis-1354	418	11	functions	function	NOUN
fis-1354	418	12	and	and	CCONJ
fis-1354	418	13	computer	computer	NOUN
fis-1354	418	14	integration	integration	NOUN
fis-1354	418	15	procedures	procedure	NOUN
fis-1354	418	16	for	for	ADP
fis-1354	418	17	calculating	calculate	VERB
fis-1354	418	18	stress	stress	NOUN
fis-1354	418	19	intensity	intensity	NOUN
fis-1354	418	20	factors	factor	NOUN
fis-1354	418	21	around	around	ADP
fis-1354	418	22	cracks	crack	NOUN
fis-1354	418	23	subjected	subject	VERB
fis-1354	418	24	to	to	ADP
fis-1354	418	25	complex	complex	ADJ
fis-1354	418	26	stress	stress	NOUN
fis-1354	418	27	fields	field	NOUN
fis-1354	418	28	,	,	PUNCT
fis-1354	418	29	progress	progress	NOUN
fis-1354	418	30	report	report	NOUN
fis-1354	418	31	no.1	no.1	NOUN
fis-1354	418	32	:	:	PUNCT
fis-1354	418	33	stress	stress	NOUN
fis-1354	418	34	and	and	CCONJ
fis-1354	418	35	fatigue	fatigue	NOUN
fis-1354	418	36	-	-	PUNCT
fis-1354	418	37	fracture	fracture	NOUN
fis-1354	418	38	design	design	NOUN
fis-1354	418	39	,	,	PUNCT
fis-1354	418	40	petersburg	petersburg	PROPN
fis-1354	418	41	ontario	ontario	PROPN
fis-1354	418	42	,	,	PUNCT
fis-1354	418	43	canada	canada	PROPN
fis-1354	418	44	,	,	PUNCT
fis-1354	418	45	(	(	PUNCT
fis-1354	418	46	1996	1996	NUM
fis-1354	418	47	)	)	PUNCT
fis-1354	418	48	.	.	PUNCT
fis-1354	419	1	[	[	X
fis-1354	419	2	25	25	NUM
fis-1354	419	3	]	]	X
fis-1354	419	4	sadananda	sadananda	PROPN
fis-1354	419	5	,	,	PUNCT
fis-1354	419	6	k.	k.	PROPN
fis-1354	419	7	,	,	PUNCT
fis-1354	419	8	vasudevan	vasudevan	PROPN
fis-1354	419	9	,	,	PUNCT
fis-1354	419	10	a.k	a.k	PROPN
fis-1354	419	11	.	.	PROPN
fis-1354	419	12	,	,	PUNCT
fis-1354	419	13	kang	kang	PROPN
fis-1354	419	14	,	,	PUNCT
fis-1354	419	15	i.w	i.w	PROPN
fis-1354	419	16	.	.	PROPN
fis-1354	419	17	,	,	PUNCT
fis-1354	419	18	effect	effect	NOUN
fis-1354	419	19	of	of	ADP
fis-1354	419	20	superimposed	superimpose	VERB
fis-1354	419	21	monotonic	monotonic	ADJ
fis-1354	419	22	fracture	fracture	NOUN
fis-1354	419	23	modes	mode	NOUN
fis-1354	419	24	on	on	ADP
fis-1354	419	25	the	the	DET
fis-1354	419	26	δk	δk	PROPN
fis-1354	419	27	and	and	CCONJ
fis-1354	419	28	kmax	kmax	ADJ
fis-1354	419	29	parameters	parameter	NOUN
fis-1354	419	30	of	of	ADP
fis-1354	419	31	fatigue	fatigue	NOUN
fis-1354	419	32	crack	crack	NOUN
fis-1354	419	33	propagation	propagation	NOUN
fis-1354	419	34	,	,	PUNCT
fis-1354	419	35	acta	acta	PROPN
fis-1354	419	36	materialia	materialia	PROPN
fis-1354	419	37	,	,	PUNCT
fis-1354	419	38	51(22	51(22	NUM
fis-1354	419	39	)	)	PUNCT
fis-1354	419	40	(	(	PUNCT
fis-1354	419	41	2003	2003	NUM
fis-1354	419	42	)	)	PUNCT
fis-1354	419	43	3399	3399	NUM
fis-1354	419	44	-	-	SYM
fis-1354	419	45	3414	3414	NUM
fis-1354	419	46	.	.	PUNCT
fis-1354	420	1	j.a.f.o	j.a.f.o	PROPN
fis-1354	420	2	.	.	PROPN
fis-1354	420	3	correia	correia	PROPN
fis-1354	420	4	et	et	PROPN
fis-1354	420	5	alii	alii	PROPN
fis-1354	420	6	,	,	PUNCT
fis-1354	420	7	frattura	frattura	PROPN
fis-1354	420	8	ed	ed	PROPN
fis-1354	420	9	integrità	integrità	PROPN
fis-1354	420	10	strutturale	strutturale	PROPN
fis-1354	420	11	,	,	PUNCT
fis-1354	420	12	31	31	NUM
fis-1354	420	13	(	(	PUNCT
fis-1354	420	14	2015	2015	NUM
fis-1354	420	15	)	)	PUNCT
fis-1354	420	16	80	80	NUM
fis-1354	420	17	-	-	SYM
fis-1354	420	18	96	96	NUM
fis-1354	420	19	;	;	PUNCT
fis-1354	420	20	doi	doi	NOUN
fis-1354	420	21	:	:	PUNCT
fis-1354	420	22	10.3221	10.3221	NUM
fis-1354	420	23	/	/	SYM
fis-1354	420	24	igf	igf	PROPN
fis-1354	420	25	-	-	ADJ
fis-1354	420	26	esis.31.07	esis.31.07	ADJ
fis-1354	420	27	96	96	NUM
fis-1354	421	1	[	[	SYM
fis-1354	421	2	26	26	NUM
fis-1354	421	3	]	]	X
fis-1354	421	4	kajawski	kajawski	PROPN
fis-1354	421	5	,	,	PUNCT
fis-1354	421	6	d.	d.	PROPN
fis-1354	421	7	,	,	PUNCT
fis-1354	421	8	a	a	DET
fis-1354	421	9	new	new	ADJ
fis-1354	421	10	(	(	PUNCT
fis-1354	421	11	δk+kmax)0.5	δk+kmax)0.5	ADJ
fis-1354	421	12	driving	drive	VERB
fis-1354	421	13	force	force	NOUN
fis-1354	421	14	parameter	parameter	NOUN
fis-1354	421	15	for	for	ADP
fis-1354	421	16	crack	crack	NOUN
fis-1354	421	17	growth	growth	NOUN
fis-1354	421	18	in	in	ADP
fis-1354	421	19	aluminum	aluminum	NOUN
fis-1354	421	20	alloys	alloy	NOUN
fis-1354	421	21	,	,	PUNCT
fis-1354	421	22	international	international	ADJ
fis-1354	421	23	journal	journal	NOUN
fis-1354	421	24	of	of	ADP
fis-1354	421	25	fatigue	fatigue	NOUN
fis-1354	421	26	,	,	PUNCT
fis-1354	421	27	23(8	23(8	NUM
fis-1354	421	28	)	)	PUNCT
fis-1354	421	29	(	(	PUNCT
fis-1354	421	30	2001	2001	NUM
fis-1354	421	31	)	)	PUNCT
fis-1354	421	32	733	733	NUM
fis-1354	421	33	-	-	SYM
fis-1354	421	34	740	740	NUM
fis-1354	421	35	.	.	PUNCT
fis-1354	422	1	[	[	X
fis-1354	422	2	27	27	NUM
fis-1354	422	3	]	]	X
fis-1354	422	4	castillo	castillo	PROPN
fis-1354	422	5	,	,	PUNCT
fis-1354	422	6	e.	e.	PROPN
fis-1354	422	7	,	,	PUNCT
fis-1354	422	8	galambos	galambos	PROPN
fis-1354	422	9	,	,	PUNCT
fis-1354	422	10	j.	j.	PROPN
fis-1354	422	11	,	,	PUNCT
fis-1354	422	12	lifetime	lifetime	NOUN
fis-1354	422	13	regression	regression	NOUN
fis-1354	422	14	models	model	NOUN
fis-1354	422	15	based	base	VERB
fis-1354	422	16	on	on	ADP
fis-1354	422	17	a	a	DET
fis-1354	422	18	functional	functional	ADJ
fis-1354	422	19	equation	equation	NOUN
fis-1354	422	20	of	of	ADP
fis-1354	422	21	physical	physical	ADJ
fis-1354	422	22	nature	nature	NOUN
fis-1354	422	23	”	"	PUNCT
fis-1354	422	24	,	,	PUNCT
fis-1354	422	25	journal	journal	NOUN
fis-1354	422	26	of	of	ADP
fis-1354	422	27	applied	apply	VERB
fis-1354	422	28	probability	probability	NOUN
fis-1354	422	29	,	,	PUNCT
fis-1354	422	30	24	24	NUM
fis-1354	422	31	(	(	PUNCT
fis-1354	422	32	1987	1987	NUM
fis-1354	422	33	)	)	PUNCT
fis-1354	422	34	160	160	NUM
fis-1354	422	35	-	-	SYM
fis-1354	422	36	169	169	NUM
fis-1354	422	37	.	.	PUNCT
fis-1354	423	1	[	[	X
fis-1354	423	2	28	28	NUM
fis-1354	423	3	]	]	X
fis-1354	423	4	castillo	castillo	PROPN
fis-1354	423	5	,	,	PUNCT
fis-1354	423	6	e.	e.	PROPN
fis-1354	423	7	,	,	PUNCT
fis-1354	423	8	fernández	fernández	PROPN
fis-1354	423	9	-	-	PUNCT
fis-1354	423	10	canteli	canteli	PROPN
fis-1354	423	11	,	,	PUNCT
fis-1354	423	12	a.	a.	NOUN
fis-1354	423	13	,	,	PUNCT
fis-1354	423	14	hadi	hadi	PROPN
fis-1354	423	15	,	,	PUNCT
fis-1354	423	16	a.s	a.s	PROPN
fis-1354	423	17	.	.	PROPN
fis-1354	423	18	,	,	PUNCT
fis-1354	423	19	lópez	lópez	NOUN
fis-1354	423	20	-	-	PUNCT
fis-1354	423	21	anelle	anelle	NOUN
fis-1354	423	22	,	,	PUNCT
fis-1354	423	23	m.	m.	NOUN
fis-1354	423	24	,	,	PUNCT
fis-1354	423	25	a	a	DET
fis-1354	423	26	fatigue	fatigue	NOUN
fis-1354	423	27	model	model	NOUN
fis-1354	423	28	with	with	ADP
fis-1354	423	29	local	local	ADJ
fis-1354	423	30	sensitivity	sensitivity	NOUN
fis-1354	423	31	analysis	analysis	NOUN
fis-1354	423	32	,	,	PUNCT
fis-1354	423	33	fatigue	fatigue	NOUN
fis-1354	423	34	and	and	CCONJ
fis-1354	423	35	fracture	fracture	NOUN
fis-1354	423	36	of	of	ADP
fis-1354	423	37	engineering	engineering	NOUN
fis-1354	423	38	material	material	NOUN
fis-1354	423	39	and	and	CCONJ
fis-1354	423	40	structure	structure	NOUN
fis-1354	423	41	,	,	PUNCT
fis-1354	423	42	30	30	NUM
fis-1354	423	43	(	(	PUNCT
fis-1354	423	44	2006	2006	NUM
fis-1354	423	45	)	)	PUNCT
fis-1354	423	46	149–168	149–168	NUM
fis-1354	423	47	.	.	PUNCT
fis-1354	424	1	[	[	X
fis-1354	424	2	29	29	NUM
fis-1354	424	3	]	]	PUNCT
fis-1354	424	4	astm	astm	PROPN
fis-1354	424	5	e606	e606	PROPN
fis-1354	424	6	:	:	PUNCT
fis-1354	424	7	standard	standard	ADJ
fis-1354	424	8	practice	practice	NOUN
fis-1354	424	9	for	for	ADP
fis-1354	424	10	strain	strain	NOUN
fis-1354	424	11	-	-	PUNCT
fis-1354	424	12	controlled	control	VERB
fis-1354	424	13	fatigue	fatigue	NOUN
fis-1354	424	14	testing	testing	NOUN
fis-1354	424	15	,	,	PUNCT
fis-1354	424	16	annual	annual	ADJ
fis-1354	424	17	book	book	NOUN
fis-1354	424	18	of	of	ADP
fis-1354	424	19	astm	astm	PROPN
fis-1354	424	20	standards	standard	NOUN
fis-1354	424	21	,	,	PUNCT
fis-1354	424	22	astm	astm	PROPN
fis-1354	424	23	,	,	PUNCT
fis-1354	424	24	west	west	PROPN
fis-1354	424	25	conshohocken	conshohocken	PROPN
fis-1354	424	26	,	,	PUNCT
fis-1354	424	27	pa	pa	PROPN
fis-1354	424	28	,	,	PUNCT
fis-1354	424	29	usa	usa	PROPN
fis-1354	424	30	,	,	PUNCT
fis-1354	424	31	03.01	03.01	NUM
fis-1354	424	32	(	(	PUNCT
fis-1354	424	33	1998	1998	NUM
fis-1354	424	34	)	)	PUNCT
fis-1354	425	1	[	[	X
fis-1354	425	2	30	30	NUM
fis-1354	425	3	]	]	X
fis-1354	425	4	astm	astm	PROPN
fis-1354	425	5	e647	e647	PROPN
fis-1354	425	6	:	:	PUNCT
fis-1354	425	7	standard	standard	ADJ
fis-1354	425	8	test	test	NOUN
fis-1354	425	9	method	method	NOUN
fis-1354	425	10	for	for	ADP
fis-1354	425	11	measurement	measurement	NOUN
fis-1354	425	12	of	of	ADP
fis-1354	425	13	fatigue	fatigue	NOUN
fis-1354	425	14	crack	crack	VERB
fis-1354	425	15	growth	growth	NOUN
fis-1354	425	16	rates	rate	NOUN
fis-1354	425	17	,	,	PUNCT
fis-1354	425	18	annual	annual	ADJ
fis-1354	425	19	book	book	NOUN
fis-1354	425	20	of	of	ADP
fis-1354	425	21	astm	astm	PROPN
fis-1354	425	22	standards	standard	NOUN
fis-1354	425	23	,	,	PUNCT
fis-1354	425	24	astm	astm	PROPN
fis-1354	425	25	,	,	PUNCT
fis-1354	425	26	west	west	PROPN
fis-1354	425	27	conshohocken	conshohocken	PROPN
fis-1354	425	28	,	,	PUNCT
fis-1354	425	29	pa	pa	PROPN
fis-1354	425	30	,	,	PUNCT
fis-1354	425	31	usa	usa	PROPN
fis-1354	425	32	,	,	PUNCT
fis-1354	425	33	03.01	03.01	NUM
fis-1354	425	34	(	(	PUNCT
fis-1354	425	35	2000	2000	NUM
fis-1354	425	36	)	)	PUNCT
fis-1354	425	37	.	.	PUNCT
fis-1354	426	1	[	[	X
fis-1354	426	2	31	31	NUM
fis-1354	426	3	]	]	PUNCT
fis-1354	426	4	sas	sas	PROPN
fis-1354	426	5	,	,	PUNCT
fis-1354	426	6	ansys	ansys	PROPN
fis-1354	426	7	,	,	PUNCT
fis-1354	426	8	swanson	swanson	NOUN
fis-1354	426	9	analysis	analysis	NOUN
fis-1354	426	10	systems	system	NOUN
fis-1354	426	11	,	,	PUNCT
fis-1354	426	12	inc	inc	PROPN
fis-1354	426	13	.	.	PROPN
fis-1354	426	14	,	,	PUNCT
fis-1354	426	15	houston	houston	PROPN
fis-1354	426	16	,	,	PUNCT
fis-1354	426	17	version	version	NOUN
fis-1354	426	18	12.0	12.0	NUM
fis-1354	426	19	,	,	PUNCT
fis-1354	426	20	(	(	PUNCT
fis-1354	426	21	2011	2011	NUM
fis-1354	426	22	)	)	PUNCT
fis-1354	426	23	.	.	PUNCT
fis-1354	427	1	[	[	X
fis-1354	427	2	32	32	NUM
fis-1354	427	3	]	]	PUNCT
fis-1354	427	4	ramberg	ramberg	PROPN
fis-1354	427	5	,	,	PUNCT
fis-1354	427	6	w.	w.	PROPN
fis-1354	427	7	,	,	PUNCT
fis-1354	427	8	osgood	osgood	PROPN
fis-1354	427	9	,	,	PUNCT
fis-1354	427	10	w.r	w.r	PROPN
fis-1354	427	11	.	.	PROPN
fis-1354	427	12	,	,	PUNCT
fis-1354	427	13	description	description	NOUN
fis-1354	427	14	of	of	ADP
fis-1354	427	15	the	the	DET
fis-1354	427	16	stress	stress	NOUN
fis-1354	427	17	-	-	PUNCT
fis-1354	427	18	strain	strain	NOUN
fis-1354	427	19	curves	curve	NOUN
fis-1354	427	20	by	by	ADP
fis-1354	427	21	the	the	DET
fis-1354	427	22	three	three	NUM
fis-1354	427	23	parameters	parameter	NOUN
fis-1354	427	24	,	,	PUNCT
fis-1354	427	25	naca	naca	PROPN
fis-1354	427	26	tn-902	tn-902	PROPN
fis-1354	427	27	,	,	PUNCT
fis-1354	427	28	national	national	ADJ
fis-1354	427	29	advisory	advisory	ADJ
fis-1354	427	30	committee	committee	NOUN
fis-1354	427	31	for	for	ADP
fis-1354	427	32	aeronautics	aeronautic	NOUN
fis-1354	427	33	,	,	PUNCT
fis-1354	427	34	(	(	PUNCT
fis-1354	427	35	1943	1943	NUM
fis-1354	427	36	)	)	PUNCT
fis-1354	427	37	.	.	PUNCT