id	sid	tid	token	lemma	pos
fis-1486	1	1	microsoft	microsoft	PROPN
fis-1486	1	2	word	word	NOUN
fis-1486	1	3	numero_33_art_20	numero_33_art_20	ADP
fis-1486	1	4	c.	c.	PROPN
fis-1486	1	5	montebello	montebello	PROPN
fis-1486	1	6	et	et	PROPN
fis-1486	1	7	alii	alii	PROPN
fis-1486	1	8	,	,	PUNCT
fis-1486	1	9	frattura	frattura	PROPN
fis-1486	1	10	ed	ed	PROPN
fis-1486	1	11	integrità	integrità	PROPN
fis-1486	1	12	strutturale	strutturale	PROPN
fis-1486	1	13	,	,	PUNCT
fis-1486	1	14	33	33	NUM
fis-1486	1	15	(	(	PUNCT
fis-1486	1	16	2015	2015	NUM
fis-1486	1	17	)	)	PUNCT
fis-1486	1	18	159	159	NUM
fis-1486	1	19	-	-	SYM
fis-1486	1	20	166	166	NUM
fis-1486	1	21	;	;	PUNCT
fis-1486	1	22	doi	doi	NOUN
fis-1486	1	23	:	:	PUNCT
fis-1486	1	24	10.3221	10.3221	NUM
fis-1486	1	25	/	/	SYM
fis-1486	1	26	igf	igf	PROPN
fis-1486	1	27	-	-	ADJ
fis-1486	1	28	esis.33.20	esis.33.20	PROPN
fis-1486	1	29	159	159	NUM
fis-1486	1	30	focussed	focusse	VERB
fis-1486	1	31	on	on	ADP
fis-1486	1	32	characterization	characterization	NOUN
fis-1486	1	33	of	of	ADP
fis-1486	1	34	crack	crack	NOUN
fis-1486	1	35	tip	tip	NOUN
fis-1486	1	36	fields	field	NOUN
fis-1486	1	37	multi	multi	ADJ
fis-1486	1	38	-	-	ADJ
fis-1486	1	39	scale	scale	ADJ
fis-1486	1	40	approach	approach	NOUN
fis-1486	1	41	for	for	ADP
fis-1486	1	42	the	the	DET
fis-1486	1	43	analysis	analysis	NOUN
fis-1486	1	44	of	of	ADP
fis-1486	1	45	the	the	DET
fis-1486	1	46	stress	stress	NOUN
fis-1486	1	47	fields	field	NOUN
fis-1486	1	48	at	at	ADP
fis-1486	1	49	a	a	DET
fis-1486	1	50	contact	contact	NOUN
fis-1486	1	51	edge	edge	NOUN
fis-1486	1	52	in	in	ADP
fis-1486	1	53	fretting	fret	VERB
fis-1486	1	54	fatigue	fatigue	NOUN
fis-1486	1	55	conditions	condition	NOUN
fis-1486	1	56	with	with	ADP
fis-1486	1	57	a	a	DET
fis-1486	1	58	crack	crack	NOUN
fis-1486	1	59	analogue	analogue	NOUN
fis-1486	1	60	approach	approach	NOUN
fis-1486	1	61	c.	c.	PROPN
fis-1486	1	62	montebello	montebello	PROPN
fis-1486	1	63	,	,	PUNCT
fis-1486	1	64	s.	s.	PROPN
fis-1486	1	65	pommier	pommier	PROPN
fis-1486	1	66	lmt	lmt	PROPN
fis-1486	1	67	(	(	PUNCT
fis-1486	1	68	ens	en	NOUN
fis-1486	1	69	cachan	cachan	PROPN
fis-1486	1	70	/	/	SYM
fis-1486	1	71	cnrs	cnrs	NOUN
fis-1486	1	72	/	/	SYM
fis-1486	1	73	université	université	PROPN
fis-1486	1	74	paris	paris	PROPN
fis-1486	1	75	saclay	saclay	PROPN
fis-1486	1	76	)	)	PUNCT
fis-1486	1	77	claudio.montebello@ens-cachan.fr	claudio.montebello@ens-cachan.fr	PROPN
fis-1486	1	78	,	,	PUNCT
fis-1486	1	79	sylvie.pommier@ens-cachan.fr	sylvie.pommier@ens-cachan.fr	PROPN
fis-1486	1	80	k.	k.	PROPN
fis-1486	1	81	demmou	demmou	PROPN
fis-1486	1	82	,	,	PUNCT
fis-1486	1	83	j.	j.	PROPN
fis-1486	1	84	leroux	leroux	PROPN
fis-1486	1	85	,	,	PUNCT
fis-1486	1	86	j.	j.	PROPN
fis-1486	1	87	mériaux	mériaux	PROPN
fis-1486	1	88	snecma	snecma	PROPN
fis-1486	1	89	villaroche	villaroche	NOUN
fis-1486	1	90	karim.demmou@snecma.fr	karim.demmou@snecma.fr	PROPN
fis-1486	1	91	,	,	PUNCT
fis-1486	1	92	julien.leroux@snecma.fr	julien.leroux@snecma.fr	PROPN
fis-1486	1	93	,	,	PUNCT
fis-1486	1	94	jean.meriaux@snecma.fr	jean.meriaux@snecma.fr	NOUN
fis-1486	1	95	abstract	abstract	NOUN
fis-1486	1	96	.	.	PUNCT
fis-1486	2	1	this	this	DET
fis-1486	2	2	paper	paper	NOUN
fis-1486	2	3	describes	describe	VERB
fis-1486	2	4	a	a	DET
fis-1486	2	5	novel	novel	ADJ
fis-1486	2	6	method	method	NOUN
fis-1486	2	7	to	to	PART
fis-1486	2	8	model	model	VERB
fis-1486	2	9	the	the	DET
fis-1486	2	10	stress	stress	NOUN
fis-1486	2	11	gradient	gradient	ADJ
fis-1486	2	12	effect	effect	NOUN
fis-1486	2	13	in	in	ADP
fis-1486	2	14	fretting	fret	VERB
fis-1486	2	15	-	-	PUNCT
fis-1486	2	16	fatigue	fatigue	NOUN
fis-1486	2	17	.	.	PUNCT
fis-1486	3	1	the	the	DET
fis-1486	3	2	analysis	analysis	NOUN
fis-1486	3	3	of	of	ADP
fis-1486	3	4	the	the	DET
fis-1486	3	5	mechanical	mechanical	ADJ
fis-1486	3	6	fields	field	NOUN
fis-1486	3	7	in	in	ADP
fis-1486	3	8	the	the	DET
fis-1486	3	9	proximity	proximity	NOUN
fis-1486	3	10	of	of	ADP
fis-1486	3	11	the	the	DET
fis-1486	3	12	contact	contact	NOUN
fis-1486	3	13	edges	edge	NOUN
fis-1486	3	14	allows	allow	VERB
fis-1486	3	15	to	to	PART
fis-1486	3	16	extract	extract	VERB
fis-1486	3	17	nonlocal	nonlocal	ADJ
fis-1486	3	18	intensity	intensity	NOUN
fis-1486	3	19	factors	factor	NOUN
fis-1486	3	20	that	that	PRON
fis-1486	3	21	take	take	VERB
fis-1486	3	22	into	into	ADP
fis-1486	3	23	account	account	NOUN
fis-1486	3	24	the	the	DET
fis-1486	3	25	stress	stress	NOUN
fis-1486	3	26	gradient	gradient	NOUN
fis-1486	3	27	evolution	evolution	NOUN
fis-1486	3	28	.	.	PUNCT
fis-1486	4	1	for	for	ADP
fis-1486	4	2	this	this	DET
fis-1486	4	3	purpose	purpose	NOUN
fis-1486	4	4	,	,	PUNCT
fis-1486	4	5	the	the	DET
fis-1486	4	6	kinetic	kinetic	ADJ
fis-1486	4	7	field	field	NOUN
fis-1486	4	8	around	around	ADP
fis-1486	4	9	the	the	DET
fis-1486	4	10	contact	contact	NOUN
fis-1486	4	11	ends	end	VERB
fis-1486	4	12	is	be	AUX
fis-1486	4	13	partitioned	partition	VERB
fis-1486	4	14	into	into	ADP
fis-1486	4	15	a	a	DET
fis-1486	4	16	summation	summation	NOUN
fis-1486	4	17	of	of	ADP
fis-1486	4	18	multiple	multiple	ADJ
fis-1486	4	19	terms	term	NOUN
fis-1486	4	20	,	,	PUNCT
fis-1486	4	21	each	each	DET
fis-1486	4	22	one	one	NOUN
fis-1486	4	23	expressed	express	VERB
fis-1486	4	24	as	as	ADP
fis-1486	4	25	the	the	DET
fis-1486	4	26	product	product	NOUN
fis-1486	4	27	between	between	ADP
fis-1486	4	28	nonlocal	nonlocal	ADJ
fis-1486	4	29	intensity	intensity	NOUN
fis-1486	4	30	factors	factor	NOUN
fis-1486	4	31	,	,	PUNCT
fis-1486	4	32	is	be	AUX
fis-1486	4	33	,	,	PUNCT
fis-1486	4	34	ia	ia	PROPN
fis-1486	4	35	,	,	PUNCT
fis-1486	4	36	ic	ic	PROPN
fis-1486	4	37	,	,	PUNCT
fis-1486	4	38	depending	depend	VERB
fis-1486	4	39	on	on	ADP
fis-1486	4	40	the	the	DET
fis-1486	4	41	macroscopic	macroscopic	ADJ
fis-1486	4	42	loads	load	NOUN
fis-1486	4	43	applied	apply	VERB
fis-1486	4	44	to	to	ADP
fis-1486	4	45	the	the	DET
fis-1486	4	46	mechanical	mechanical	ADJ
fis-1486	4	47	assembly	assembly	NOUN
fis-1486	4	48	,	,	PUNCT
fis-1486	4	49	and	and	CCONJ
fis-1486	4	50	spatial	spatial	ADJ
fis-1486	4	51	reference	reference	NOUN
fis-1486	4	52	fields	field	NOUN
fis-1486	4	53	,	,	PUNCT
fis-1486	4	54	ds	ds	ADJ
fis-1486	4	55	,	,	PUNCT
fis-1486	4	56	da	da	PROPN
fis-1486	4	57	,	,	PUNCT
fis-1486	4	58	dc	dc	PROPN
fis-1486	4	59	,	,	PUNCT
fis-1486	4	60	depending	depend	VERB
fis-1486	4	61	on	on	ADP
fis-1486	4	62	the	the	DET
fis-1486	4	63	local	local	ADJ
fis-1486	4	64	geometry	geometry	NOUN
fis-1486	4	65	of	of	ADP
fis-1486	4	66	the	the	DET
fis-1486	4	67	part	part	NOUN
fis-1486	4	68	.	.	PUNCT
fis-1486	5	1	this	this	DET
fis-1486	5	2	description	description	NOUN
fis-1486	5	3	is	be	AUX
fis-1486	5	4	obtained	obtain	VERB
fis-1486	5	5	through	through	ADP
fis-1486	5	6	nonintrusive	nonintrusive	ADJ
fis-1486	5	7	post	post	NOUN
fis-1486	5	8	-	-	ADJ
fis-1486	5	9	processing	processing	NOUN
fis-1486	5	10	of	of	ADP
fis-1486	5	11	fe	fe	NOUN
fis-1486	5	12	computation	computation	NOUN
fis-1486	5	13	and	and	CCONJ
fis-1486	5	14	is	be	AUX
fis-1486	5	15	conceived	conceive	VERB
fis-1486	5	16	in	in	ADP
fis-1486	5	17	order	order	NOUN
fis-1486	5	18	to	to	PART
fis-1486	5	19	be	be	AUX
fis-1486	5	20	easily	easily	ADV
fis-1486	5	21	implementable	implementable	ADJ
fis-1486	5	22	in	in	ADP
fis-1486	5	23	the	the	DET
fis-1486	5	24	industrial	industrial	ADJ
fis-1486	5	25	context	context	NOUN
fis-1486	5	26	.	.	PUNCT
fis-1486	6	1	by	by	ADP
fis-1486	6	2	using	use	VERB
fis-1486	6	3	as	as	ADP
fis-1486	6	4	input	input	NOUN
fis-1486	6	5	the	the	DET
fis-1486	6	6	macroscopic	macroscopic	ADJ
fis-1486	6	7	load	load	NOUN
fis-1486	6	8	,	,	PUNCT
fis-1486	6	9	the	the	DET
fis-1486	6	10	procedure	procedure	NOUN
fis-1486	6	11	consists	consist	VERB
fis-1486	6	12	in	in	ADP
fis-1486	6	13	computing	compute	VERB
fis-1486	6	14	a	a	DET
fis-1486	6	15	set	set	NOUN
fis-1486	6	16	of	of	ADP
fis-1486	6	17	nonlocal	nonlocal	ADJ
fis-1486	6	18	stress	stress	NOUN
fis-1486	6	19	intensity	intensity	NOUN
fis-1486	6	20	factors	factor	NOUN
fis-1486	6	21	,	,	PUNCT
fis-1486	6	22	which	which	PRON
fis-1486	6	23	are	be	AUX
fis-1486	6	24	an	an	DET
fis-1486	6	25	index	index	NOUN
fis-1486	6	26	of	of	ADP
fis-1486	6	27	the	the	DET
fis-1486	6	28	severity	severity	NOUN
fis-1486	6	29	of	of	ADP
fis-1486	6	30	the	the	DET
fis-1486	6	31	stress	stress	NOUN
fis-1486	6	32	field	field	NOUN
fis-1486	6	33	in	in	ADP
fis-1486	6	34	the	the	DET
fis-1486	6	35	proximity	proximity	NOUN
fis-1486	6	36	of	of	ADP
fis-1486	6	37	the	the	DET
fis-1486	6	38	contact	contact	NOUN
fis-1486	6	39	edges	edge	NOUN
fis-1486	6	40	.	.	PUNCT
fis-1486	7	1	this	this	DET
fis-1486	7	2	description	description	NOUN
fis-1486	7	3	has	have	VERB
fis-1486	7	4	two	two	NUM
fis-1486	7	5	main	main	ADJ
fis-1486	7	6	advantages	advantage	NOUN
fis-1486	7	7	.	.	PUNCT
fis-1486	8	1	first	first	ADV
fis-1486	8	2	,	,	PUNCT
fis-1486	8	3	the	the	DET
fis-1486	8	4	nonlocal	nonlocal	ADJ
fis-1486	8	5	stress	stress	NOUN
fis-1486	8	6	intensity	intensity	NOUN
fis-1486	8	7	factors	factor	NOUN
fis-1486	8	8	are	be	AUX
fis-1486	8	9	independent	independent	ADJ
fis-1486	8	10	from	from	ADP
fis-1486	8	11	the	the	DET
fis-1486	8	12	geometry	geometry	NOUN
fis-1486	8	13	used	use	VERB
fis-1486	8	14	.	.	PUNCT
fis-1486	9	1	secondly	secondly	ADV
fis-1486	9	2	,	,	PUNCT
fis-1486	9	3	the	the	DET
fis-1486	9	4	procedure	procedure	NOUN
fis-1486	9	5	is	be	AUX
fis-1486	9	6	easily	easily	ADV
fis-1486	9	7	applicable	applicable	ADJ
fis-1486	9	8	to	to	ADP
fis-1486	9	9	industrial	industrial	ADJ
fis-1486	9	10	scale	scale	NOUN
fis-1486	9	11	fe	fe	PROPN
fis-1486	9	12	model	model	NOUN
fis-1486	9	13	..	..	PUNCT
fis-1486	9	14	keywords	keyword	NOUN
fis-1486	9	15	.	.	PUNCT
fis-1486	10	1	fretting	fret	VERB
fis-1486	10	2	fatigue	fatigue	NOUN
fis-1486	10	3	;	;	PUNCT
fis-1486	10	4	contact	contact	NOUN
fis-1486	10	5	;	;	PUNCT
fis-1486	10	6	fatigue	fatigue	NOUN
fis-1486	10	7	.	.	PUNCT
fis-1486	11	1	introduction	introduction	NOUN
fis-1486	11	2	omputational	omputational	ADJ
fis-1486	11	3	models	model	NOUN
fis-1486	11	4	for	for	ADP
fis-1486	11	5	fatigue	fatigue	NOUN
fis-1486	11	6	damage	damage	NOUN
fis-1486	11	7	analysis	analysis	NOUN
fis-1486	11	8	in	in	ADP
fis-1486	11	9	presence	presence	NOUN
fis-1486	11	10	of	of	ADP
fis-1486	11	11	a	a	DET
fis-1486	11	12	steep	steep	ADJ
fis-1486	11	13	stress	stress	NOUN
fis-1486	11	14	gradient	gradient	NOUN
fis-1486	11	15	still	still	ADV
fis-1486	11	16	remain	remain	VERB
fis-1486	11	17	poorly	poorly	ADV
fis-1486	11	18	effective	effective	ADJ
fis-1486	11	19	.	.	PUNCT
fis-1486	12	1	this	this	PRON
fis-1486	12	2	is	be	AUX
fis-1486	12	3	the	the	DET
fis-1486	12	4	case	case	NOUN
fis-1486	12	5	of	of	ADP
fis-1486	12	6	fretting	fret	VERB
fis-1486	12	7	-	-	PUNCT
fis-1486	12	8	fatigue	fatigue	NOUN
fis-1486	12	9	where	where	SCONJ
fis-1486	12	10	a	a	DET
fis-1486	12	11	local	local	ADJ
fis-1486	12	12	stress	stress	NOUN
fis-1486	12	13	concentration	concentration	NOUN
fis-1486	12	14	is	be	AUX
fis-1486	12	15	introduced	introduce	VERB
fis-1486	12	16	by	by	ADP
fis-1486	12	17	contacting	contact	VERB
fis-1486	12	18	components	component	NOUN
fis-1486	12	19	experiencing	experience	VERB
fis-1486	12	20	small	small	ADJ
fis-1486	12	21	amplitude	amplitude	NOUN
fis-1486	12	22	relative	relative	ADJ
fis-1486	12	23	motion	motion	NOUN
fis-1486	12	24	.	.	PUNCT
fis-1486	13	1	this	this	DET
fis-1486	13	2	phenomenon	phenomenon	NOUN
fis-1486	13	3	is	be	AUX
fis-1486	13	4	a	a	DET
fis-1486	13	5	major	major	ADJ
fis-1486	13	6	concern	concern	NOUN
fis-1486	13	7	for	for	ADP
fis-1486	13	8	the	the	DET
fis-1486	13	9	aerospace	aerospace	NOUN
fis-1486	13	10	industry	industry	NOUN
fis-1486	13	11	,	,	PUNCT
fis-1486	13	12	in	in	ADP
fis-1486	13	13	particular	particular	ADJ
fis-1486	13	14	for	for	ADP
fis-1486	13	15	aircraft	aircraft	NOUN
fis-1486	13	16	engine	engine	NOUN
fis-1486	13	17	applications	application	NOUN
fis-1486	13	18	where	where	SCONJ
fis-1486	13	19	there	there	PRON
fis-1486	13	20	are	be	VERB
fis-1486	13	21	several	several	ADJ
fis-1486	13	22	components	component	NOUN
fis-1486	13	23	that	that	PRON
fis-1486	13	24	may	may	AUX
fis-1486	13	25	suffer	suffer	VERB
fis-1486	13	26	fretting	fret	VERB
fis-1486	13	27	-	-	PUNCT
fis-1486	13	28	fatigue	fatigue	NOUN
fis-1486	13	29	failure	failure	NOUN
fis-1486	13	30	like	like	ADP
fis-1486	13	31	the	the	DET
fis-1486	13	32	dovetail	dovetail	NOUN
fis-1486	13	33	blade	blade	NOUN
fis-1486	13	34	-	-	PUNCT
fis-1486	13	35	root	root	NOUN
fis-1486	13	36	connections	connection	NOUN
fis-1486	13	37	.	.	PUNCT
fis-1486	14	1	in	in	ADP
fis-1486	14	2	the	the	DET
fis-1486	14	3	last	last	ADJ
fis-1486	14	4	years	year	NOUN
fis-1486	14	5	several	several	ADJ
fis-1486	14	6	fatigue	fatigue	NOUN
fis-1486	14	7	criteria	criterion	NOUN
fis-1486	14	8	have	have	AUX
fis-1486	14	9	been	be	AUX
fis-1486	14	10	developed	develop	VERB
fis-1486	14	11	aiming	aim	VERB
fis-1486	14	12	at	at	ADP
fis-1486	14	13	improving	improve	VERB
fis-1486	14	14	the	the	DET
fis-1486	14	15	accuracy	accuracy	NOUN
fis-1486	14	16	of	of	ADP
fis-1486	14	17	the	the	DET
fis-1486	14	18	fatigue	fatigue	NOUN
fis-1486	14	19	life	life	NOUN
fis-1486	14	20	prediction	prediction	NOUN
fis-1486	14	21	in	in	ADP
fis-1486	14	22	the	the	DET
fis-1486	14	23	presence	presence	NOUN
fis-1486	14	24	of	of	ADP
fis-1486	14	25	a	a	DET
fis-1486	14	26	severe	severe	ADJ
fis-1486	14	27	stress	stress	NOUN
fis-1486	14	28	gradient	gradient	NOUN
fis-1486	14	29	.	.	PUNCT
fis-1486	15	1	almost	almost	ADV
fis-1486	15	2	all	all	PRON
fis-1486	15	3	of	of	ADP
fis-1486	15	4	them	they	PRON
fis-1486	15	5	can	can	AUX
fis-1486	15	6	be	be	AUX
fis-1486	15	7	divided	divide	VERB
fis-1486	15	8	into	into	ADP
fis-1486	15	9	two	two	NUM
fis-1486	15	10	major	major	ADJ
fis-1486	15	11	families	family	NOUN
fis-1486	15	12	.	.	PUNCT
fis-1486	16	1	on	on	ADP
fis-1486	16	2	the	the	DET
fis-1486	16	3	one	one	NUM
fis-1486	16	4	hand	hand	NOUN
fis-1486	16	5	,	,	PUNCT
fis-1486	16	6	the	the	DET
fis-1486	16	7	nonlocal	nonlocal	ADJ
fis-1486	16	8	stress	stress	NOUN
fis-1486	16	9	fatigue	fatigue	NOUN
fis-1486	16	10	models	model	NOUN
fis-1486	16	11	[	[	X
fis-1486	16	12	1	1	NUM
fis-1486	16	13	,	,	PUNCT
fis-1486	16	14	2	2	NUM
fis-1486	16	15	]	]	PUNCT
fis-1486	16	16	employ	employ	VERB
fis-1486	16	17	an	an	DET
fis-1486	16	18	averaged	averaged	ADJ
fis-1486	16	19	quantity	quantity	NOUN
fis-1486	16	20	as	as	ADP
fis-1486	16	21	input	input	NOUN
fis-1486	16	22	for	for	ADP
fis-1486	16	23	the	the	DET
fis-1486	16	24	prediction	prediction	NOUN
fis-1486	16	25	criterion	criterion	NOUN
fis-1486	16	26	in	in	SCONJ
fis-1486	16	27	order	order	NOUN
fis-1486	16	28	to	to	ADP
fis-1486	16	29	c	c	PROPN
fis-1486	16	30	c.	c.	PROPN
fis-1486	16	31	montebello	montebello	PROPN
fis-1486	16	32	et	et	PROPN
fis-1486	16	33	alii	alii	PROPN
fis-1486	16	34	,	,	PUNCT
fis-1486	16	35	frattura	frattura	PROPN
fis-1486	16	36	ed	ed	PROPN
fis-1486	16	37	integrità	integrità	PROPN
fis-1486	16	38	strutturale	strutturale	PROPN
fis-1486	16	39	,	,	PUNCT
fis-1486	16	40	33	33	NUM
fis-1486	16	41	(	(	PUNCT
fis-1486	16	42	2015	2015	NUM
fis-1486	16	43	)	)	PUNCT
fis-1486	16	44	159	159	NUM
fis-1486	16	45	-	-	SYM
fis-1486	16	46	166	166	NUM
fis-1486	16	47	;	;	PUNCT
fis-1486	16	48	doi	doi	NOUN
fis-1486	16	49	:	:	PUNCT
fis-1486	16	50	10.3221	10.3221	NUM
fis-1486	16	51	/	/	SYM
fis-1486	16	52	igf	igf	PROPN
fis-1486	16	53	-	-	ADJ
fis-1486	16	54	esis.33.20	esis.33.20	PROPN
fis-1486	16	55	160	160	NUM
fis-1486	16	56	mitigate	mitigate	VERB
fis-1486	16	57	the	the	DET
fis-1486	16	58	effect	effect	NOUN
fis-1486	16	59	of	of	ADP
fis-1486	16	60	the	the	DET
fis-1486	16	61	strong	strong	ADJ
fis-1486	16	62	stress	stress	NOUN
fis-1486	16	63	gradient	gradient	NOUN
fis-1486	16	64	.	.	PUNCT
fis-1486	17	1	on	on	ADP
fis-1486	17	2	the	the	DET
fis-1486	17	3	other	other	ADJ
fis-1486	17	4	hand	hand	NOUN
fis-1486	17	5	,	,	PUNCT
fis-1486	17	6	a	a	DET
fis-1486	17	7	different	different	ADJ
fis-1486	17	8	approach	approach	NOUN
fis-1486	17	9	consists	consist	VERB
fis-1486	17	10	in	in	ADP
fis-1486	17	11	computing	compute	VERB
fis-1486	17	12	the	the	DET
fis-1486	17	13	evolution	evolution	NOUN
fis-1486	17	14	of	of	ADP
fis-1486	17	15	the	the	DET
fis-1486	17	16	stress	stress	NOUN
fis-1486	17	17	intensity	intensity	NOUN
fis-1486	17	18	factors	factor	NOUN
fis-1486	17	19	,	,	PUNCT
fis-1486	17	20	∆k	∆k	PROPN
fis-1486	17	21	,	,	PUNCT
fis-1486	17	22	as	as	ADP
fis-1486	17	23	a	a	DET
fis-1486	17	24	function	function	NOUN
fis-1486	17	25	of	of	ADP
fis-1486	17	26	the	the	DET
fis-1486	17	27	crack	crack	NOUN
fis-1486	17	28	length	length	NOUN
fis-1486	17	29	to	to	PART
fis-1486	17	30	analyse	analyse	VERB
fis-1486	17	31	whether	whether	SCONJ
fis-1486	17	32	the	the	DET
fis-1486	17	33	crack	crack	NOUN
fis-1486	17	34	will	will	AUX
fis-1486	17	35	stop	stop	VERB
fis-1486	17	36	or	or	CCONJ
fis-1486	17	37	not	not	PART
fis-1486	17	38	[	[	X
fis-1486	17	39	3	3	NUM
fis-1486	17	40	,	,	PUNCT
fis-1486	17	41	4	4	NUM
fis-1486	17	42	]	]	PUNCT
fis-1486	17	43	.	.	PUNCT
fis-1486	18	1	even	even	ADV
fis-1486	18	2	though	though	SCONJ
fis-1486	18	3	both	both	PRON
fis-1486	18	4	the	the	DET
fis-1486	18	5	approaches	approach	NOUN
fis-1486	18	6	show	show	VERB
fis-1486	18	7	good	good	ADJ
fis-1486	18	8	results	result	NOUN
fis-1486	18	9	in	in	ADP
fis-1486	18	10	terms	term	NOUN
fis-1486	18	11	of	of	ADP
fis-1486	18	12	life	life	NOUN
fis-1486	18	13	prediction	prediction	NOUN
fis-1486	18	14	accuracy	accuracy	NOUN
fis-1486	18	15	some	some	DET
fis-1486	18	16	important	important	ADJ
fis-1486	18	17	limitations	limitation	NOUN
fis-1486	18	18	make	make	VERB
fis-1486	18	19	them	they	PRON
fis-1486	18	20	difficult	difficult	ADJ
fis-1486	18	21	to	to	PART
fis-1486	18	22	implement	implement	VERB
fis-1486	18	23	in	in	ADP
fis-1486	18	24	the	the	DET
fis-1486	18	25	industrial	industrial	ADJ
fis-1486	18	26	context	context	NOUN
fis-1486	18	27	.	.	PUNCT
fis-1486	19	1	for	for	ADP
fis-1486	19	2	instance	instance	NOUN
fis-1486	19	3	,	,	PUNCT
fis-1486	19	4	the	the	DET
fis-1486	19	5	analysis	analysis	NOUN
fis-1486	19	6	of	of	ADP
fis-1486	19	7	the	the	DET
fis-1486	19	8	∆k	∆k	PROPN
fis-1486	19	9	evolution	evolution	NOUN
fis-1486	19	10	at	at	ADP
fis-1486	19	11	the	the	DET
fis-1486	19	12	crack	crack	NOUN
fis-1486	19	13	tip	tip	NOUN
fis-1486	19	14	implies	imply	VERB
fis-1486	19	15	to	to	PART
fis-1486	19	16	set	set	VERB
fis-1486	19	17	up	up	ADP
fis-1486	19	18	a	a	DET
fis-1486	19	19	computational	computational	ADJ
fis-1486	19	20	strategy	strategy	NOUN
fis-1486	19	21	to	to	PART
fis-1486	19	22	determine	determine	VERB
fis-1486	19	23	the	the	DET
fis-1486	19	24	crack	crack	NOUN
fis-1486	19	25	path	path	NOUN
fis-1486	19	26	resulting	result	VERB
fis-1486	19	27	from	from	ADP
fis-1486	19	28	the	the	DET
fis-1486	19	29	macroscopic	macroscopic	ADJ
fis-1486	19	30	load	load	NOUN
fis-1486	19	31	application	application	NOUN
fis-1486	19	32	.	.	PUNCT
fis-1486	20	1	this	this	DET
fis-1486	20	2	operation	operation	NOUN
fis-1486	20	3	is	be	AUX
fis-1486	20	4	heavily	heavily	ADV
fis-1486	20	5	time	time	NOUN
fis-1486	20	6	-	-	PUNCT
fis-1486	20	7	consuming	consume	VERB
fis-1486	20	8	.	.	PUNCT
fis-1486	21	1	on	on	ADP
fis-1486	21	2	the	the	DET
fis-1486	21	3	other	other	ADJ
fis-1486	21	4	hand	hand	NOUN
fis-1486	21	5	,	,	PUNCT
fis-1486	21	6	the	the	DET
fis-1486	21	7	methods	method	NOUN
fis-1486	21	8	based	base	VERB
fis-1486	21	9	on	on	ADP
fis-1486	21	10	an	an	DET
fis-1486	21	11	averaged	average	VERB
fis-1486	21	12	quantity	quantity	NOUN
fis-1486	21	13	over	over	ADP
fis-1486	21	14	a	a	DET
fis-1486	21	15	critical	critical	ADJ
fis-1486	21	16	distance	distance	NOUN
fis-1486	21	17	require	require	VERB
fis-1486	21	18	an	an	DET
fis-1486	21	19	accurate	accurate	ADJ
fis-1486	21	20	description	description	NOUN
fis-1486	21	21	of	of	ADP
fis-1486	21	22	the	the	DET
fis-1486	21	23	stress	stress	NOUN
fis-1486	21	24	gradient	gradient	ADJ
fis-1486	21	25	evolution	evolution	NOUN
fis-1486	21	26	that	that	PRON
fis-1486	21	27	is	be	AUX
fis-1486	21	28	obtainable	obtainable	ADJ
fis-1486	21	29	only	only	ADV
fis-1486	21	30	by	by	ADP
fis-1486	21	31	using	use	VERB
fis-1486	21	32	a	a	DET
fis-1486	21	33	really	really	ADV
fis-1486	21	34	fine	fine	ADJ
fis-1486	21	35	mesh	mesh	NOUN
fis-1486	21	36	(	(	PUNCT
fis-1486	21	37	micron	micron	NOUN
fis-1486	21	38	size	size	NOUN
fis-1486	21	39	range	range	NOUN
fis-1486	21	40	)	)	PUNCT
fis-1486	21	41	,	,	PUNCT
fis-1486	21	42	condition	condition	NOUN
fis-1486	21	43	difficult	difficult	ADJ
fis-1486	21	44	to	to	PART
fis-1486	21	45	reproduce	reproduce	VERB
fis-1486	21	46	in	in	ADP
fis-1486	21	47	industrial	industrial	ADJ
fis-1486	21	48	fem	fem	NOUN
fis-1486	21	49	models	model	NOUN
fis-1486	21	50	.	.	PUNCT
fis-1486	22	1	model	model	NOUN
fis-1486	22	2	background	background	NOUN
fis-1486	22	3	retting	retting	NOUN
fis-1486	22	4	-	-	PUNCT
fis-1486	22	5	fatigue	fatigue	NOUN
fis-1486	22	6	is	be	AUX
fis-1486	22	7	a	a	DET
fis-1486	22	8	special	special	ADJ
fis-1486	22	9	damage	damage	NOUN
fis-1486	22	10	process	process	NOUN
fis-1486	22	11	that	that	PRON
fis-1486	22	12	occurs	occur	VERB
fis-1486	22	13	at	at	ADP
fis-1486	22	14	the	the	DET
fis-1486	22	15	contact	contact	NOUN
fis-1486	22	16	area	area	NOUN
fis-1486	22	17	between	between	ADP
fis-1486	22	18	two	two	NUM
fis-1486	22	19	materials	material	NOUN
fis-1486	22	20	under	under	ADP
fis-1486	22	21	load	load	NOUN
fis-1486	22	22	and	and	CCONJ
fis-1486	22	23	subject	subject	ADJ
fis-1486	22	24	to	to	ADP
fis-1486	22	25	minute	minute	ADJ
fis-1486	22	26	relative	relative	ADJ
fis-1486	22	27	motion	motion	NOUN
fis-1486	22	28	by	by	ADP
fis-1486	22	29	vibration	vibration	NOUN
fis-1486	22	30	or	or	CCONJ
fis-1486	22	31	some	some	DET
fis-1486	22	32	other	other	ADJ
fis-1486	22	33	force	force	NOUN
fis-1486	22	34	.	.	PUNCT
fis-1486	23	1	one	one	NUM
fis-1486	23	2	of	of	ADP
fis-1486	23	3	the	the	DET
fis-1486	23	4	main	main	ADJ
fis-1486	23	5	peculiarities	peculiarity	NOUN
fis-1486	23	6	of	of	ADP
fis-1486	23	7	this	this	DET
fis-1486	23	8	phenomenon	phenomenon	NOUN
fis-1486	23	9	is	be	AUX
fis-1486	23	10	the	the	DET
fis-1486	23	11	fact	fact	NOUN
fis-1486	23	12	that	that	SCONJ
fis-1486	23	13	the	the	DET
fis-1486	23	14	contact	contact	NOUN
fis-1486	23	15	introduces	introduce	VERB
fis-1486	23	16	a	a	DET
fis-1486	23	17	severe	severe	ADJ
fis-1486	23	18	and	and	CCONJ
fis-1486	23	19	extremely	extremely	ADV
fis-1486	23	20	localized	localized	ADJ
fis-1486	23	21	stress	stress	NOUN
fis-1486	23	22	gradient	gradient	NOUN
fis-1486	23	23	in	in	ADP
fis-1486	23	24	the	the	DET
fis-1486	23	25	vicinity	vicinity	NOUN
fis-1486	23	26	of	of	ADP
fis-1486	23	27	the	the	DET
fis-1486	23	28	contact	contact	NOUN
fis-1486	23	29	edge	edge	NOUN
fis-1486	23	30	.	.	PUNCT
fis-1486	24	1	the	the	DET
fis-1486	24	2	feature	feature	NOUN
fis-1486	24	3	presented	present	VERB
fis-1486	24	4	above	above	ADV
fis-1486	24	5	is	be	AUX
fis-1486	24	6	the	the	DET
fis-1486	24	7	same	same	ADJ
fis-1486	24	8	that	that	PRON
fis-1486	24	9	characterizes	characterize	VERB
fis-1486	24	10	cracks	crack	NOUN
fis-1486	24	11	or	or	CCONJ
fis-1486	24	12	notches	notch	NOUN
fis-1486	24	13	where	where	SCONJ
fis-1486	24	14	a	a	DET
fis-1486	24	15	steep	steep	ADJ
fis-1486	24	16	stress	stress	NOUN
fis-1486	24	17	gradient	gradient	NOUN
fis-1486	24	18	is	be	AUX
fis-1486	24	19	present	present	ADJ
fis-1486	24	20	as	as	ADV
fis-1486	24	21	well	well	ADV
fis-1486	24	22	.	.	PUNCT
fis-1486	25	1	as	as	ADP
fis-1486	25	2	a	a	DET
fis-1486	25	3	consequence	consequence	NOUN
fis-1486	25	4	the	the	DET
fis-1486	25	5	mechanical	mechanical	ADJ
fis-1486	25	6	fields	field	NOUN
fis-1486	25	7	generated	generate	VERB
fis-1486	25	8	close	close	ADV
fis-1486	25	9	to	to	ADP
fis-1486	25	10	the	the	DET
fis-1486	25	11	contact	contact	NOUN
fis-1486	25	12	edge	edge	NOUN
fis-1486	25	13	and	and	CCONJ
fis-1486	25	14	the	the	DET
fis-1486	25	15	ones	one	NOUN
fis-1486	25	16	arising	arise	VERB
fis-1486	25	17	at	at	ADP
fis-1486	25	18	the	the	DET
fis-1486	25	19	crack	crack	NOUN
fis-1486	25	20	tip	tip	NOUN
fis-1486	25	21	are	be	AUX
fis-1486	25	22	comparable	comparable	ADJ
fis-1486	25	23	.	.	PUNCT
fis-1486	26	1	this	this	DET
fis-1486	26	2	analogy	analogy	NOUN
fis-1486	26	3	can	can	AUX
fis-1486	26	4	be	be	AUX
fis-1486	26	5	exploited	exploit	VERB
fis-1486	26	6	to	to	PART
fis-1486	26	7	apply	apply	VERB
fis-1486	26	8	the	the	DET
fis-1486	26	9	mathematical	mathematical	ADJ
fis-1486	26	10	tools	tool	NOUN
fis-1486	26	11	already	already	ADV
fis-1486	26	12	developed	develop	VERB
fis-1486	26	13	for	for	ADP
fis-1486	26	14	fracture	fracture	NOUN
fis-1486	26	15	mechanics	mechanic	NOUN
fis-1486	26	16	to	to	ADP
fis-1486	26	17	fretting	fret	VERB
fis-1486	26	18	fatigue	fatigue	NOUN
fis-1486	26	19	.	.	PUNCT
fis-1486	27	1	giannakopoulos	giannakopoulos	PROPN
fis-1486	27	2	has	have	AUX
fis-1486	27	3	been	be	AUX
fis-1486	27	4	the	the	DET
fis-1486	27	5	first	first	ADJ
fis-1486	27	6	author	author	NOUN
fis-1486	27	7	to	to	PART
fis-1486	27	8	quantify	quantify	VERB
fis-1486	27	9	from	from	ADP
fis-1486	27	10	an	an	DET
fis-1486	27	11	analytical	analytical	ADJ
fis-1486	27	12	point	point	NOUN
fis-1486	27	13	of	of	ADP
fis-1486	27	14	view	view	NOUN
fis-1486	27	15	this	this	DET
fis-1486	27	16	analogy	analogy	NOUN
fis-1486	28	1	[	[	X
fis-1486	28	2	5	5	NUM
fis-1486	28	3	,	,	PUNCT
fis-1486	28	4	6	6	NUM
fis-1486	28	5	]	]	PUNCT
fis-1486	28	6	.	.	PUNCT
fis-1486	29	1	two	two	NUM
fis-1486	29	2	different	different	ADJ
fis-1486	29	3	contact	contact	NOUN
fis-1486	29	4	configuration	configuration	NOUN
fis-1486	29	5	are	be	AUX
fis-1486	29	6	studied	study	VERB
fis-1486	29	7	:	:	PUNCT
fis-1486	29	8	(	(	PUNCT
fis-1486	29	9	i	i	NOUN
fis-1486	29	10	)	)	PUNCT
fis-1486	29	11	flat	flat	ADJ
fis-1486	29	12	punch	punch	VERB
fis-1486	29	13	over	over	ADP
fis-1486	29	14	a	a	DET
fis-1486	29	15	planar	planar	ADJ
fis-1486	29	16	surface	surface	NOUN
fis-1486	29	17	which	which	PRON
fis-1486	29	18	creates	create	VERB
fis-1486	29	19	a	a	DET
fis-1486	29	20	stress	stress	NOUN
fis-1486	29	21	singularity	singularity	NOUN
fis-1486	29	22	at	at	ADP
fis-1486	29	23	the	the	DET
fis-1486	29	24	contact	contact	NOUN
fis-1486	29	25	tip	tip	NOUN
fis-1486	29	26	(	(	PUNCT
fis-1486	29	27	crack	crack	VERB
fis-1486	29	28	analogue	analogue	NOUN
fis-1486	29	29	)	)	PUNCT
fis-1486	29	30	and	and	CCONJ
fis-1486	29	31	(	(	PUNCT
fis-1486	29	32	ii	ii	NOUN
fis-1486	29	33	)	)	PUNCT
fis-1486	29	34	round	round	NOUN
fis-1486	29	35	punch	punch	NOUN
fis-1486	29	36	over	over	ADP
fis-1486	29	37	a	a	DET
fis-1486	29	38	planar	planar	ADJ
fis-1486	29	39	surface	surface	NOUN
fis-1486	29	40	characterized	characterize	VERB
fis-1486	29	41	by	by	ADP
fis-1486	29	42	a	a	DET
fis-1486	29	43	smooth	smooth	ADJ
fis-1486	29	44	transition	transition	NOUN
fis-1486	29	45	to	to	ADP
fis-1486	29	46	zero	zero	NUM
fis-1486	29	47	pressure	pressure	NOUN
fis-1486	29	48	at	at	ADP
fis-1486	29	49	the	the	DET
fis-1486	29	50	contact	contact	NOUN
fis-1486	29	51	area	area	NOUN
fis-1486	29	52	edges	edge	NOUN
fis-1486	29	53	(	(	PUNCT
fis-1486	29	54	notch	notch	ADJ
fis-1486	29	55	analogue	analogue	NOUN
fis-1486	29	56	)	)	PUNCT
fis-1486	29	57	.	.	PUNCT
fis-1486	30	1	among	among	ADP
fis-1486	30	2	the	the	DET
fis-1486	30	3	different	different	ADJ
fis-1486	30	4	approaches	approach	NOUN
fis-1486	30	5	available	available	ADJ
fis-1486	30	6	in	in	ADP
fis-1486	30	7	fracture	fracture	PROPN
fis-1486	30	8	mechanics	mechanic	NOUN
fis-1486	30	9	one	one	NUM
fis-1486	30	10	in	in	ADP
fis-1486	30	11	particular	particular	ADJ
fis-1486	30	12	can	can	AUX
fis-1486	30	13	be	be	AUX
fis-1486	30	14	really	really	ADV
fis-1486	30	15	useful	useful	ADJ
fis-1486	30	16	to	to	PART
fis-1486	30	17	describe	describe	VERB
fis-1486	30	18	the	the	DET
fis-1486	30	19	stress	stress	NOUN
fis-1486	30	20	gradient	gradient	ADJ
fis-1486	30	21	effect	effect	NOUN
fis-1486	30	22	in	in	ADP
fis-1486	30	23	fretting	fret	VERB
fis-1486	30	24	-	-	PUNCT
fis-1486	30	25	fatigue	fatigue	NOUN
fis-1486	30	26	.	.	PUNCT
fis-1486	31	1	an	an	DET
fis-1486	31	2	original	original	ADJ
fis-1486	31	3	model	model	NOUN
fis-1486	31	4	has	have	AUX
fis-1486	31	5	been	be	AUX
fis-1486	31	6	proposed	propose	VERB
fis-1486	31	7	by	by	ADP
fis-1486	31	8	pommier	pommier	NOUN
fis-1486	31	9	[	[	X
fis-1486	31	10	7	7	NUM
fis-1486	31	11	,	,	PUNCT
fis-1486	31	12	8	8	NUM
fis-1486	31	13	]	]	PUNCT
fis-1486	31	14	aiming	aim	VERB
fis-1486	31	15	at	at	ADP
fis-1486	31	16	describing	describe	VERB
fis-1486	31	17	mixedmode	mixedmode	ADJ
fis-1486	31	18	cyclic	cyclic	ADJ
fis-1486	31	19	elastic	elastic	ADJ
fis-1486	31	20	-	-	PUNCT
fis-1486	31	21	plastic	plastic	NOUN
fis-1486	31	22	behavior	behavior	NOUN
fis-1486	31	23	of	of	ADP
fis-1486	31	24	the	the	DET
fis-1486	31	25	crack	crack	NOUN
fis-1486	31	26	tip	tip	NOUN
fis-1486	31	27	at	at	ADP
fis-1486	31	28	the	the	DET
fis-1486	31	29	global	global	ADJ
fis-1486	31	30	scale	scale	NOUN
fis-1486	31	31	.	.	PUNCT
fis-1486	32	1	the	the	DET
fis-1486	32	2	purpose	purpose	NOUN
fis-1486	32	3	was	be	AUX
fis-1486	32	4	to	to	PART
fis-1486	32	5	establish	establish	VERB
fis-1486	32	6	a	a	DET
fis-1486	32	7	reasonably	reasonably	ADV
fis-1486	32	8	precise	precise	ADJ
fis-1486	32	9	model	model	NOUN
fis-1486	32	10	but	but	CCONJ
fis-1486	32	11	condensed	condense	VERB
fis-1486	32	12	into	into	ADP
fis-1486	32	13	a	a	DET
fis-1486	32	14	set	set	NOUN
fis-1486	32	15	of	of	ADP
fis-1486	32	16	partial	partial	ADJ
fis-1486	32	17	differential	differential	NOUN
fis-1486	32	18	equations	equation	NOUN
fis-1486	32	19	so	so	SCONJ
fis-1486	32	20	as	as	SCONJ
fis-1486	32	21	to	to	PART
fis-1486	32	22	avoid	avoid	VERB
fis-1486	32	23	huge	huge	ADJ
fis-1486	32	24	elastic	elastic	ADJ
fis-1486	32	25	-	-	PUNCT
fis-1486	32	26	plastic	plastic	NOUN
fis-1486	32	27	fe	fe	NOUN
fis-1486	32	28	computations	computation	NOUN
fis-1486	32	29	.	.	PUNCT
fis-1486	33	1	the	the	DET
fis-1486	33	2	model	model	NOUN
fis-1486	33	3	proposed	propose	VERB
fis-1486	33	4	hereunder	hereunder	NOUN
fis-1486	33	5	exploits	exploit	VERB
fis-1486	33	6	the	the	DET
fis-1486	33	7	results	result	NOUN
fis-1486	33	8	obtained	obtain	VERB
fis-1486	33	9	by	by	ADP
fis-1486	33	10	giannakopoulos	giannakopoulos	PROPN
fis-1486	34	1	[	[	X
fis-1486	34	2	5	5	NUM
fis-1486	34	3	,	,	PUNCT
fis-1486	34	4	6	6	NUM
fis-1486	34	5	]	]	PUNCT
fis-1486	34	6	and	and	CCONJ
fis-1486	34	7	pommier	pommier	NOUN
fis-1486	35	1	[	[	X
fis-1486	35	2	7	7	NUM
fis-1486	35	3	,	,	PUNCT
fis-1486	35	4	8	8	NUM
fis-1486	35	5	]	]	PUNCT
fis-1486	35	6	.	.	PUNCT
fis-1486	36	1	a	a	DET
fis-1486	36	2	description	description	NOUN
fis-1486	36	3	of	of	ADP
fis-1486	36	4	fretting	fret	VERB
fis-1486	36	5	-	-	PUNCT
fis-1486	36	6	fatigue	fatigue	NOUN
fis-1486	36	7	using	use	VERB
fis-1486	36	8	nonlocal	nonlocal	ADJ
fis-1486	36	9	quantities	quantity	NOUN
fis-1486	36	10	has	have	AUX
fis-1486	36	11	been	be	AUX
fis-1486	36	12	developed	develop	VERB
fis-1486	36	13	.	.	PUNCT
fis-1486	37	1	the	the	DET
fis-1486	37	2	tools	tool	NOUN
fis-1486	37	3	employed	employ	VERB
fis-1486	37	4	to	to	PART
fis-1486	37	5	describe	describe	VERB
fis-1486	37	6	the	the	DET
fis-1486	37	7	elastic	elastic	ADJ
fis-1486	37	8	-	-	PUNCT
fis-1486	37	9	plastic	plastic	NOUN
fis-1486	37	10	behavior	behavior	NOUN
fis-1486	37	11	of	of	ADP
fis-1486	37	12	the	the	DET
fis-1486	37	13	crack	crack	NOUN
fis-1486	37	14	tip	tip	NOUN
fis-1486	37	15	at	at	ADP
fis-1486	37	16	the	the	DET
fis-1486	37	17	global	global	ADJ
fis-1486	37	18	scale	scale	NOUN
fis-1486	37	19	are	be	AUX
fis-1486	37	20	redefine	redefine	ADJ
fis-1486	37	21	and	and	CCONJ
fis-1486	37	22	adapted	adapt	VERB
fis-1486	37	23	to	to	ADP
fis-1486	37	24	fretting	fret	VERB
fis-1486	37	25	fatigue	fatigue	NOUN
fis-1486	37	26	contact	contact	NOUN
fis-1486	37	27	problem	problem	NOUN
fis-1486	37	28	via	via	ADP
fis-1486	37	29	the	the	DET
fis-1486	37	30	crack	crack	NOUN
fis-1486	37	31	analogue	analogue	NOUN
fis-1486	37	32	approach	approach	NOUN
fis-1486	37	33	.	.	PUNCT
fis-1486	38	1	field	field	NOUN
fis-1486	38	2	partitioning	partition	VERB
fis-1486	38	3	the	the	DET
fis-1486	38	4	model	model	NOUN
fis-1486	38	5	presented	present	VERB
fis-1486	38	6	here	here	ADV
fis-1486	38	7	,	,	PUNCT
fis-1486	38	8	is	be	AUX
fis-1486	38	9	based	base	VERB
fis-1486	38	10	on	on	ADP
fis-1486	38	11	the	the	DET
fis-1486	38	12	post	post	NOUN
fis-1486	38	13	-	-	NOUN
fis-1486	38	14	treatment	treatment	NOUN
fis-1486	38	15	of	of	ADP
fis-1486	38	16	the	the	DET
fis-1486	38	17	velocity	velocity	NOUN
fis-1486	38	18	field	field	NOUN
fis-1486	38	19	generated	generate	VERB
fis-1486	38	20	by	by	ADP
fis-1486	38	21	fretting	fret	VERB
fis-1486	38	22	-	-	PUNCT
fis-1486	38	23	fatigue	fatigue	NOUN
fis-1486	38	24	close	close	ADV
fis-1486	38	25	to	to	ADP
fis-1486	38	26	the	the	DET
fis-1486	38	27	contact	contact	NOUN
fis-1486	38	28	edges	edge	NOUN
fis-1486	38	29	.	.	PUNCT
fis-1486	39	1	the	the	DET
fis-1486	39	2	velocity	velocity	NOUN
fis-1486	39	3	field	field	NOUN
fis-1486	39	4	is	be	AUX
fis-1486	39	5	partitioned	partition	VERB
fis-1486	39	6	into	into	ADP
fis-1486	39	7	a	a	DET
fis-1486	39	8	summation	summation	NOUN
fis-1486	39	9	of	of	ADP
fis-1486	39	10	multiple	multiple	ADJ
fis-1486	39	11	terms	term	NOUN
fis-1486	39	12	,	,	PUNCT
fis-1486	39	13	each	each	DET
fis-1486	39	14	one	one	NOUN
fis-1486	39	15	expressed	express	VERB
fis-1486	39	16	as	as	ADP
fis-1486	39	17	the	the	DET
fis-1486	39	18	product	product	NOUN
fis-1486	39	19	between	between	ADP
fis-1486	39	20	nonlocal	nonlocal	ADJ
fis-1486	39	21	intensity	intensity	NOUN
fis-1486	39	22	factors	factor	NOUN
fis-1486	39	23	,	,	PUNCT
fis-1486	39	24	is	be	AUX
fis-1486	39	25	,	,	PUNCT
fis-1486	39	26	ia	ia	PROPN
fis-1486	39	27	,	,	PUNCT
fis-1486	39	28	ic	ic	PROPN
fis-1486	39	29	,	,	PUNCT
fis-1486	39	30	depending	depend	VERB
fis-1486	39	31	on	on	ADP
fis-1486	39	32	the	the	DET
fis-1486	39	33	macroscopic	macroscopic	ADJ
fis-1486	39	34	loads	load	NOUN
fis-1486	39	35	applied	apply	VERB
fis-1486	39	36	to	to	ADP
fis-1486	39	37	the	the	DET
fis-1486	39	38	mechanical	mechanical	ADJ
fis-1486	39	39	assembly	assembly	NOUN
fis-1486	39	40	,	,	PUNCT
fis-1486	39	41	and	and	CCONJ
fis-1486	39	42	spatial	spatial	ADJ
fis-1486	39	43	reference	reference	NOUN
fis-1486	39	44	fields	field	NOUN
fis-1486	39	45	,	,	PUNCT
fis-1486	39	46	ds	ds	ADJ
fis-1486	39	47	,	,	PUNCT
fis-1486	39	48	da	da	PROPN
fis-1486	39	49	,	,	PUNCT
fis-1486	39	50	dc	dc	PROPN
fis-1486	39	51	,	,	PUNCT
fis-1486	39	52	depending	depend	VERB
fis-1486	39	53	on	on	ADP
fis-1486	39	54	the	the	DET
fis-1486	39	55	local	local	ADJ
fis-1486	39	56	geometry	geometry	NOUN
fis-1486	39	57	of	of	ADP
fis-1486	39	58	the	the	DET
fis-1486	39	59	part	part	NOUN
fis-1486	39	60	,	,	PUNCT
fis-1486	39	61			PROPN
fis-1486	39	62			SYM
fis-1486	39	63			NOUN
fis-1486	40	1			SYM
fis-1486	40	2			NOUN
fis-1486	40	3			SYM
fis-1486	40	4			NOUN
fis-1486	40	5			SYM
fis-1486	40	6			NOUN
fis-1486	40	7			SYM
fis-1486	40	8			NOUN
fis-1486	40	9			PUNCT
fis-1486	40	10			PROPN
fis-1486	40	11			PROPN
fis-1486	40	12	,	,	PUNCT
fis-1486	40	13			PROPN
fis-1486	40	14			VERB
fis-1486	40	15			NOUN
fis-1486	40	16			NOUN
fis-1486	40	17	s	s	NUM
fis-1486	40	18	s	s	VERB
fis-1486	40	19	a	a	PRON
fis-1486	40	20	a	a	DET
fis-1486	40	21	c	c	NOUN
fis-1486	40	22	cv	cv	PROPN
fis-1486	40	23	x	x	X
fis-1486	40	24	t	t	PROPN
fis-1486	41	1	i	i	PRON
fis-1486	41	2	t	t	PROPN
fis-1486	42	1	d	d	NOUN
fis-1486	42	2	x	x	X
fis-1486	43	1	i	i	NOUN
fis-1486	43	2	t	t	NOUN
fis-1486	44	1	d	d	NOUN
fis-1486	44	2	x	x	X
fis-1486	45	1	i	i	NOUN
fis-1486	45	2	t	t	X
fis-1486	46	1	d	d	X
fis-1486	46	2	x	x	X
fis-1486	46	3	(	(	PUNCT
fis-1486	46	4	1	1	NUM
fis-1486	46	5	)	)	PUNCT
fis-1486	46	6	from	from	ADP
fis-1486	46	7	the	the	DET
fis-1486	46	8	practical	practical	ADJ
fis-1486	46	9	point	point	NOUN
fis-1486	46	10	of	of	ADP
fis-1486	46	11	view	view	NOUN
fis-1486	46	12	,	,	PUNCT
fis-1486	46	13	the	the	DET
fis-1486	46	14	velocity	velocity	NOUN
fis-1486	46	15	field	field	NOUN
fis-1486	46	16	is	be	AUX
fis-1486	46	17	obtained	obtain	VERB
fis-1486	46	18	through	through	ADP
fis-1486	46	19	a	a	DET
fis-1486	46	20	finite	finite	ADJ
fis-1486	46	21	element	element	NOUN
fis-1486	46	22	computation	computation	NOUN
fis-1486	46	23	.	.	PUNCT
fis-1486	47	1	in	in	ADP
fis-1486	47	2	fig	fig	NOUN
fis-1486	47	3	.	.	PUNCT
fis-1486	48	1	1	1	NUM
fis-1486	48	2	an	an	DET
fis-1486	48	3	example	example	NOUN
fis-1486	48	4	of	of	ADP
fis-1486	48	5	a	a	DET
fis-1486	48	6	fe	fe	NOUN
fis-1486	48	7	model	model	NOUN
fis-1486	48	8	used	use	VERB
fis-1486	48	9	in	in	ADP
fis-1486	48	10	the	the	DET
fis-1486	48	11	analysis	analysis	NOUN
fis-1486	48	12	,	,	PUNCT
fis-1486	48	13	is	be	AUX
fis-1486	48	14	presented	present	VERB
fis-1486	48	15	.	.	PUNCT
fis-1486	49	1	a	a	DET
fis-1486	49	2	cylinder	cylinder	NOUN
fis-1486	49	3	-	-	PUNCT
fis-1486	49	4	plain	plain	ADJ
fis-1486	49	5	contact	contact	NOUN
fis-1486	49	6	configuration	configuration	NOUN
fis-1486	49	7	is	be	AUX
fis-1486	49	8	employed	employ	VERB
fis-1486	49	9	.	.	PUNCT
fis-1486	50	1	this	this	DET
fis-1486	50	2	choice	choice	NOUN
fis-1486	50	3	is	be	AUX
fis-1486	50	4	driven	drive	VERB
fis-1486	50	5	by	by	ADP
fis-1486	50	6	the	the	DET
fis-1486	50	7	fact	fact	NOUN
fis-1486	50	8	that	that	SCONJ
fis-1486	50	9	the	the	DET
fis-1486	50	10	numerical	numerical	ADJ
fis-1486	50	11	procedure	procedure	NOUN
fis-1486	50	12	is	be	AUX
fis-1486	50	13	validated	validate	VERB
fis-1486	50	14	by	by	ADP
fis-1486	50	15	comparing	compare	VERB
fis-1486	50	16	it	it	PRON
fis-1486	50	17	with	with	ADP
fis-1486	50	18	experimental	experimental	ADJ
fis-1486	50	19	tests	test	NOUN
fis-1486	50	20	[	[	X
fis-1486	50	21	9	9	NUM
fis-1486	50	22	-	-	SYM
fis-1486	50	23	11	11	NUM
fis-1486	50	24	]	]	PUNCT
fis-1486	50	25	,	,	PUNCT
fis-1486	50	26	carried	carry	VERB
fis-1486	50	27	out	out	ADP
fis-1486	50	28	with	with	ADP
fis-1486	50	29	a	a	DET
fis-1486	50	30	cylinder	cylinder	NOUN
fis-1486	50	31	-	-	PUNCT
fis-1486	50	32	plain	plain	NOUN
fis-1486	50	33	apparatus	apparatus	NOUN
fis-1486	50	34	.	.	PUNCT
fis-1486	51	1	in	in	ADP
fis-1486	51	2	other	other	ADJ
fis-1486	51	3	word	word	NOUN
fis-1486	51	4	the	the	DET
fis-1486	51	5	fe	fe	PROPN
fis-1486	51	6	model	model	NOUN
fis-1486	51	7	needs	need	VERB
fis-1486	51	8	to	to	PART
fis-1486	51	9	be	be	AUX
fis-1486	51	10	as	as	ADV
fis-1486	51	11	close	close	ADJ
fis-1486	51	12	as	as	ADP
fis-1486	51	13	possible	possible	ADJ
fis-1486	51	14	to	to	ADP
fis-1486	51	15	the	the	DET
fis-1486	51	16	experimental	experimental	ADJ
fis-1486	51	17	setting	setting	NOUN
fis-1486	51	18	.	.	PUNCT
fis-1486	52	1	concerning	concern	VERB
fis-1486	52	2	the	the	DET
fis-1486	52	3	main	main	ADJ
fis-1486	52	4	parameters	parameter	NOUN
fis-1486	52	5	used	use	VERB
fis-1486	52	6	in	in	ADP
fis-1486	52	7	the	the	DET
fis-1486	52	8	fe	fe	PROPN
fis-1486	52	9	model	model	NOUN
fis-1486	52	10	definition	definition	NOUN
fis-1486	52	11	,	,	PUNCT
fis-1486	52	12	it	it	PRON
fis-1486	52	13	consists	consist	VERB
fis-1486	52	14	in	in	ADP
fis-1486	52	15	an	an	DET
fis-1486	52	16	elastic	elastic	ADJ
fis-1486	52	17	quasi	quasi	ADJ
fis-1486	52	18	-	-	ADJ
fis-1486	52	19	static	static	ADJ
fis-1486	52	20	computation	computation	NOUN
fis-1486	52	21	and	and	CCONJ
fis-1486	52	22	plane	plane	NOUN
fis-1486	52	23	strain	strain	NOUN
fis-1486	52	24	linear	linear	ADJ
fis-1486	52	25	elastic	elastic	ADJ
fis-1486	52	26	quadrilateral	quadrilateral	ADJ
fis-1486	52	27	elements	element	NOUN
fis-1486	52	28	are	be	AUX
fis-1486	52	29	employed	employ	VERB
fis-1486	52	30	.	.	PUNCT
fis-1486	53	1	to	to	PART
fis-1486	53	2	handle	handle	VERB
fis-1486	53	3	the	the	DET
fis-1486	53	4	contact	contact	NOUN
fis-1486	53	5	at	at	ADP
fis-1486	53	6	the	the	DET
fis-1486	53	7	interface	interface	NOUN
fis-1486	53	8	,	,	PUNCT
fis-1486	53	9	the	the	DET
fis-1486	53	10	technique	technique	NOUN
fis-1486	53	11	employed	employ	VERB
fis-1486	53	12	is	be	AUX
fis-1486	53	13	the	the	DET
fis-1486	53	14	lagrange	lagrange	NOUN
fis-1486	53	15	multipliers	multiplier	NOUN
fis-1486	53	16	,	,	PUNCT
fis-1486	53	17	which	which	PRON
fis-1486	53	18	assures	assure	VERB
fis-1486	53	19	the	the	DET
fis-1486	53	20	best	good	ADJ
fis-1486	53	21	accuracy	accuracy	NOUN
fis-1486	53	22	.	.	PUNCT
fis-1486	54	1	to	to	ADP
fis-1486	54	2	modelling	model	VERB
fis-1486	54	3	the	the	DET
fis-1486	54	4	friction	friction	NOUN
fis-1486	54	5	,	,	PUNCT
fis-1486	54	6	coulomb	coulomb	PROPN
fis-1486	54	7	’s	’s	PART
fis-1486	54	8	friction	friction	NOUN
fis-1486	54	9	law	law	NOUN
fis-1486	54	10	is	be	AUX
fis-1486	54	11	employed	employ	VERB
fis-1486	54	12	.	.	PUNCT
fis-1486	55	1	with	with	ADP
fis-1486	55	2	regard	regard	NOUN
fis-1486	55	3	to	to	ADP
fis-1486	55	4	the	the	DET
fis-1486	55	5	mesh	mesh	NOUN
fis-1486	55	6	used	use	VERB
fis-1486	55	7	,	,	PUNCT
fis-1486	55	8	it	it	PRON
fis-1486	55	9	is	be	AUX
fis-1486	55	10	a	a	DET
fis-1486	55	11	structured	structured	ADJ
fis-1486	55	12	mesh	mesh	NOUN
fis-1486	55	13	characterized	characterize	VERB
fis-1486	55	14	by	by	ADP
fis-1486	55	15	an	an	DET
fis-1486	55	16	average	average	ADJ
fis-1486	55	17	length	length	NOUN
fis-1486	55	18	of	of	ADP
fis-1486	55	19	5	5	NUM
fis-1486	55	20	-	-	SYM
fis-1486	55	21	10	10	NUM
fis-1486	55	22	microns	micron	NOUN
fis-1486	55	23	.	.	PUNCT
fis-1486	56	1	the	the	DET
fis-1486	56	2	loads	load	NOUN
fis-1486	56	3	applied	apply	VERB
fis-1486	56	4	to	to	ADP
fis-1486	56	5	the	the	DET
fis-1486	56	6	pad	pad	NOUN
fis-1486	56	7	to	to	PART
fis-1486	56	8	reproduce	reproduce	VERB
fis-1486	56	9	fretting	fret	VERB
fis-1486	56	10	-	-	PUNCT
fis-1486	56	11	fatigue	fatigue	NOUN
fis-1486	56	12	consist	consist	NOUN
fis-1486	56	13	in	in	ADP
fis-1486	56	14	a	a	DET
fis-1486	56	15	constant	constant	ADJ
fis-1486	56	16	normal	normal	ADJ
fis-1486	56	17	load	load	NOUN
fis-1486	56	18	(	(	PUNCT
fis-1486	56	19	p	p	NOUN
fis-1486	56	20	)	)	PUNCT
fis-1486	56	21	and	and	CCONJ
fis-1486	56	22	a	a	DET
fis-1486	56	23	cyclic	cyclic	ADJ
fis-1486	56	24	tangential	tangential	ADJ
fis-1486	56	25	load	load	NOUN
fis-1486	56	26	(	(	PUNCT
fis-1486	56	27	q	q	NOUN
fis-1486	56	28	)	)	PUNCT
fis-1486	56	29	.	.	PUNCT
fis-1486	57	1	a	a	DET
fis-1486	57	2	cyclic	cyclic	ADJ
fis-1486	57	3	bulk	bulk	ADJ
fis-1486	57	4	load	load	NOUN
fis-1486	57	5	(	(	PUNCT
fis-1486	57	6	σfa	σfa	PROPN
fis-1486	57	7	)	)	PUNCT
fis-1486	57	8	is	be	AUX
fis-1486	57	9	applied	apply	VERB
fis-1486	57	10	to	to	ADP
fis-1486	57	11	the	the	DET
fis-1486	57	12	specimen	speciman	NOUN
fis-1486	57	13	to	to	PART
fis-1486	57	14	reproduce	reproduce	VERB
fis-1486	57	15	the	the	DET
fis-1486	57	16	fatigue	fatigue	NOUN
fis-1486	57	17	effect	effect	NOUN
fis-1486	57	18	.	.	PUNCT
fis-1486	58	1	once	once	SCONJ
fis-1486	58	2	the	the	DET
fis-1486	58	3	velocity	velocity	NOUN
fis-1486	58	4	field	field	NOUN
fis-1486	58	5	is	be	AUX
fis-1486	58	6	computed	compute	VERB
fis-1486	58	7	,	,	PUNCT
fis-1486	58	8	the	the	DET
fis-1486	58	9	following	follow	VERB
fis-1486	58	10	step	step	NOUN
fis-1486	58	11	is	be	AUX
fis-1486	58	12	to	to	PART
fis-1486	58	13	partition	partition	VERB
fis-1486	58	14	it	it	PRON
fis-1486	58	15	in	in	ADP
fis-1486	58	16	order	order	NOUN
fis-1486	58	17	to	to	PART
fis-1486	58	18	extract	extract	VERB
fis-1486	58	19	the	the	DET
fis-1486	58	20	nonlocal	nonlocal	ADJ
fis-1486	58	21	intensity	intensity	NOUN
fis-1486	58	22	factors	factor	NOUN
fis-1486	58	23	.	.	PUNCT
fis-1486	59	1	since	since	SCONJ
fis-1486	59	2	the	the	DET
fis-1486	59	3	most	most	ADV
fis-1486	59	4	critical	critical	ADJ
fis-1486	59	5	zone	zone	NOUN
fis-1486	59	6	in	in	ADP
fis-1486	59	7	fretting	fret	VERB
fis-1486	59	8	-	-	PUNCT
fis-1486	59	9	fatigue	fatigue	NOUN
fis-1486	59	10	is	be	AUX
fis-1486	59	11	situated	situate	VERB
fis-1486	59	12	close	close	ADV
fis-1486	59	13	to	to	ADP
fis-1486	59	14	the	the	DET
fis-1486	59	15	contact	contact	NOUN
fis-1486	59	16	edge	edge	NOUN
fis-1486	59	17	,	,	PUNCT
fis-1486	59	18	only	only	ADV
fis-1486	59	19	the	the	DET
fis-1486	59	20	value	value	NOUN
fis-1486	59	21	of	of	ADP
fis-1486	59	22	the	the	DET
fis-1486	59	23	velocity	velocity	NOUN
fis-1486	59	24	field	field	NOUN
fis-1486	59	25	inside	inside	ADP
fis-1486	59	26	a	a	DET
fis-1486	59	27	circular	circular	ADJ
fis-1486	59	28	region	region	NOUN
fis-1486	59	29	ω	ω	NOUN
fis-1486	59	30	,	,	PUNCT
fis-1486	59	31	of	of	ADP
fis-1486	59	32	radius	radius	NOUN
fis-1486	59	33	r	r	NOUN
fis-1486	59	34	,	,	PUNCT
fis-1486	59	35	centered	center	VERB
fis-1486	59	36	at	at	ADP
fis-1486	59	37	the	the	DET
fis-1486	59	38	contact	contact	NOUN
fis-1486	59	39	tip	tip	NOUN
fis-1486	59	40	is	be	AUX
fis-1486	59	41	retained	retain	VERB
fis-1486	59	42	.	.	PUNCT
fis-1486	60	1	f	f	PROPN
fis-1486	60	2	c.	c.	PROPN
fis-1486	60	3	montebello	montebello	PROPN
fis-1486	60	4	et	et	PROPN
fis-1486	60	5	alii	alii	PROPN
fis-1486	60	6	,	,	PUNCT
fis-1486	60	7	frattura	frattura	PROPN
fis-1486	60	8	ed	ed	PROPN
fis-1486	60	9	integrità	integrità	PROPN
fis-1486	60	10	strutturale	strutturale	PROPN
fis-1486	60	11	,	,	PUNCT
fis-1486	60	12	33	33	NUM
fis-1486	60	13	(	(	PUNCT
fis-1486	60	14	2015	2015	NUM
fis-1486	60	15	)	)	PUNCT
fis-1486	60	16	159	159	NUM
fis-1486	60	17	-	-	SYM
fis-1486	60	18	166	166	NUM
fis-1486	60	19	;	;	PUNCT
fis-1486	60	20	doi	doi	NOUN
fis-1486	60	21	:	:	PUNCT
fis-1486	60	22	10.3221	10.3221	NUM
fis-1486	60	23	/	/	SYM
fis-1486	60	24	igf	igf	PROPN
fis-1486	60	25	-	-	ADJ
fis-1486	60	26	esis.33.20	esis.33.20	PROPN
fis-1486	60	27	161	161	NUM
fis-1486	60	28	figure	figure	NOUN
fis-1486	60	29	1	1	NUM
fis-1486	60	30	:	:	SYM
fis-1486	60	31	fe	fe	NOUN
fis-1486	60	32	model	model	NOUN
fis-1486	60	33	and	and	CCONJ
fis-1486	60	34	fretting	fret	VERB
fis-1486	60	35	-	-	PUNCT
fis-1486	60	36	fatigue	fatigue	NOUN
fis-1486	60	37	loading	loading	NOUN
fis-1486	60	38	variation	variation	NOUN
fis-1486	60	39	.	.	PUNCT
fis-1486	61	1	to	to	PART
fis-1486	61	2	obtain	obtain	VERB
fis-1486	61	3	the	the	DET
fis-1486	61	4	partition	partition	NOUN
fis-1486	61	5	presented	present	VERB
fis-1486	61	6	in	in	ADP
fis-1486	61	7	eq	eq	ADP
fis-1486	61	8	.	.	PUNCT
fis-1486	62	1	(	(	PUNCT
fis-1486	62	2	1	1	NUM
fis-1486	62	3	)	)	PUNCT
fis-1486	62	4	,	,	PUNCT
fis-1486	62	5	the	the	DET
fis-1486	62	6	first	first	ADJ
fis-1486	62	7	step	step	NOUN
fis-1486	62	8	is	be	AUX
fis-1486	62	9	the	the	DET
fis-1486	62	10	determination	determination	NOUN
fis-1486	62	11	of	of	ADP
fis-1486	62	12	the	the	DET
fis-1486	62	13	reference	reference	NOUN
fis-1486	62	14	fields	field	NOUN
fis-1486	62	15	(	(	PUNCT
fis-1486	62	16	da	da	NOUN
fis-1486	62	17	and	and	CCONJ
fis-1486	62	18	ds	ds	ADJ
fis-1486	62	19	)	)	PUNCT
fis-1486	62	20	.	.	PUNCT
fis-1486	63	1	ds	ds	PROPN
fis-1486	63	2	is	be	AUX
fis-1486	63	3	selected	select	VERB
fis-1486	63	4	as	as	ADP
fis-1486	63	5	the	the	DET
fis-1486	63	6	field	field	NOUN
fis-1486	63	7	generated	generate	VERB
fis-1486	63	8	by	by	ADP
fis-1486	63	9	a	a	DET
fis-1486	63	10	δp	δp	NOUN
fis-1486	63	11	,	,	PUNCT
fis-1486	63	12	while	while	SCONJ
fis-1486	63	13	da	da	NOUN
fis-1486	63	14	as	as	ADP
fis-1486	63	15	the	the	DET
fis-1486	63	16	one	one	NOUN
fis-1486	63	17	produced	produce	VERB
fis-1486	63	18	by	by	ADP
fis-1486	63	19	a	a	DET
fis-1486	63	20	δq	δq	NOUN
fis-1486	63	21	in	in	ADP
fis-1486	63	22	a	a	DET
fis-1486	63	23	situation	situation	NOUN
fis-1486	63	24	where	where	SCONJ
fis-1486	63	25	all	all	DET
fis-1486	63	26	the	the	DET
fis-1486	63	27	contact	contact	NOUN
fis-1486	63	28	surface	surface	NOUN
fis-1486	63	29	is	be	AUX
fis-1486	63	30	in	in	ADP
fis-1486	63	31	a	a	DET
fis-1486	63	32	stick	stick	NOUN
fis-1486	63	33	condition	condition	NOUN
fis-1486	63	34	.	.	PUNCT
fis-1486	64	1	further	further	ADJ
fis-1486	64	2	details	detail	NOUN
fis-1486	64	3	of	of	ADP
fis-1486	64	4	the	the	DET
fis-1486	64	5	procedure	procedure	NOUN
fis-1486	64	6	followed	follow	VERB
fis-1486	64	7	can	can	AUX
fis-1486	64	8	be	be	AUX
fis-1486	64	9	found	find	VERB
fis-1486	64	10	in	in	ADP
fis-1486	64	11	[	[	X
fis-1486	64	12	9	9	NUM
fis-1486	64	13	]	]	PUNCT
fis-1486	64	14	.	.	PUNCT
fis-1486	65	1	by	by	ADP
fis-1486	65	2	expressing	express	VERB
fis-1486	65	3	the	the	DET
fis-1486	65	4	reference	reference	NOUN
fis-1486	65	5	fields	field	NOUN
fis-1486	65	6	in	in	ADP
fis-1486	65	7	polar	polar	ADJ
fis-1486	65	8	coordinates	coordinate	NOUN
fis-1486	65	9	,	,	PUNCT
fis-1486	65	10	their	their	PRON
fis-1486	65	11	radial	radial	ADJ
fis-1486	65	12	and	and	CCONJ
fis-1486	65	13	tangential	tangential	ADJ
fis-1486	65	14	evolution	evolution	NOUN
fis-1486	65	15	with	with	ADP
fis-1486	65	16	respect	respect	NOUN
fis-1486	65	17	to	to	ADP
fis-1486	65	18	the	the	DET
fis-1486	65	19	crack	crack	NOUN
fis-1486	65	20	tip	tip	NOUN
fis-1486	65	21	can	can	AUX
fis-1486	65	22	be	be	AUX
fis-1486	65	23	obtained	obtain	VERB
fis-1486	65	24	.	.	PUNCT
fis-1486	66	1			NOUN
fis-1486	66	2			SYM
fis-1486	66	3			NOUN
fis-1486	66	4			SYM
fis-1486	66	5			NOUN
fis-1486	66	6			SYM
fis-1486	66	7			NOUN
fis-1486	66	8	,	,	NOUN
fis-1486	67	1			VERB
fis-1486	67	2	s	s	NOUN
fis-1486	67	3	s	s	NOUN
fis-1486	67	4	s	s	NOUN
fis-1486	67	5	sd	sd	NOUN
fis-1486	67	6	x	x	SYM
fis-1486	67	7	d	d	NOUN
fis-1486	67	8	r	r	NOUN
fis-1486	67	9	f	f	NOUN
fis-1486	67	10	r	r	NOUN
fis-1486	67	11	g	g	NOUN
fis-1486	67	12	(	(	PUNCT
fis-1486	67	13	2	2	NUM
fis-1486	67	14	)	)	PUNCT
fis-1486	67	15			NOUN
fis-1486	67	16			SYM
fis-1486	67	17			NOUN
fis-1486	67	18			SYM
fis-1486	67	19			NOUN
fis-1486	67	20			SYM
fis-1486	67	21			NOUN
fis-1486	67	22	,	,	NOUN
fis-1486	68	1			X
fis-1486	68	2	a	a	NOUN
fis-1486	68	3	a	a	DET
fis-1486	68	4	a	a	DET
fis-1486	68	5	ad	ad	NOUN
fis-1486	68	6	x	x	NOUN
fis-1486	68	7	d	d	NOUN
fis-1486	68	8	r	r	NOUN
fis-1486	68	9	f	f	NOUN
fis-1486	68	10	r	r	NOUN
fis-1486	68	11	g	g	NOUN
fis-1486	68	12	(	(	PUNCT
fis-1486	68	13	3	3	NUM
fis-1486	68	14	)	)	PUNCT
fis-1486	68	15	to	to	PART
fis-1486	68	16	express	express	VERB
fis-1486	68	17	the	the	DET
fis-1486	68	18	reference	reference	NOUN
fis-1486	68	19	fields	field	NOUN
fis-1486	68	20	as	as	ADP
fis-1486	68	21	a	a	DET
fis-1486	68	22	product	product	NOUN
fis-1486	68	23	between	between	ADP
fis-1486	68	24	two	two	NUM
fis-1486	68	25	functions	function	NOUN
fis-1486	68	26	depending	depend	VERB
fis-1486	68	27	separately	separately	ADV
fis-1486	68	28	on	on	ADP
fis-1486	68	29	r	r	NOUN
fis-1486	68	30	and	and	CCONJ
fis-1486	68	31	θ	θ	PROPN
fis-1486	68	32	,	,	PUNCT
fis-1486	68	33	the	the	DET
fis-1486	68	34	karhunen	karhunen	NOUN
fis-1486	68	35	-	-	PUNCT
fis-1486	68	36	loeve	loeve	NOUN
fis-1486	68	37	decomposition	decomposition	NOUN
fis-1486	68	38	[	[	X
fis-1486	68	39	10	10	NUM
fis-1486	68	40	]	]	PUNCT
fis-1486	68	41	is	be	AUX
fis-1486	68	42	employed	employ	VERB
fis-1486	68	43	.	.	PUNCT
fis-1486	69	1	figure	figure	NOUN
fis-1486	69	2	2	2	NUM
fis-1486	69	3	:	:	PUNCT
fis-1486	69	4	radial	radial	ADJ
fis-1486	69	5	and	and	CCONJ
fis-1486	69	6	tangential	tangential	ADJ
fis-1486	69	7	evolution	evolution	NOUN
fis-1486	69	8	of	of	ADP
fis-1486	69	9	ds	ds	PROPN
fis-1486	69	10	.	.	PROPN
fis-1486	70	1	in	in	ADP
fis-1486	70	2	fig	fig	NOUN
fis-1486	70	3	.	.	PUNCT
fis-1486	71	1	2	2	NUM
fis-1486	71	2	and	and	CCONJ
fis-1486	71	3	3	3	NUM
fis-1486	71	4	the	the	DET
fis-1486	71	5	radial	radial	ADJ
fis-1486	71	6	and	and	CCONJ
fis-1486	71	7	tangential	tangential	ADJ
fis-1486	71	8	evolution	evolution	NOUN
fis-1486	71	9	of	of	ADP
fis-1486	71	10	ds	ds	NOUN
fis-1486	71	11	and	and	CCONJ
fis-1486	71	12	da	da	PROPN
fis-1486	71	13	are	be	AUX
fis-1486	71	14	presented	present	VERB
fis-1486	71	15	.	.	PUNCT
fis-1486	72	1	clearly	clearly	ADV
fis-1486	72	2	the	the	DET
fis-1486	72	3	analogy	analogy	NOUN
fis-1486	72	4	between	between	ADP
fis-1486	72	5	crack	crack	NOUN
fis-1486	72	6	and	and	CCONJ
fis-1486	72	7	contact	contact	NOUN
fis-1486	72	8	problems	problem	NOUN
fis-1486	72	9	is	be	AUX
fis-1486	72	10	justified	justify	VERB
fis-1486	72	11	.	.	PUNCT
fis-1486	73	1	furthermore	furthermore	ADV
fis-1486	73	2	,	,	PUNCT
fis-1486	73	3	both	both	DET
fis-1486	73	4	reference	reference	NOUN
fis-1486	73	5	fields	field	NOUN
fis-1486	73	6	are	be	AUX
fis-1486	73	7	normalized	normalize	VERB
fis-1486	73	8	in	in	ADP
fis-1486	73	9	order	order	NOUN
fis-1486	73	10	to	to	PART
fis-1486	73	11	correspond	correspond	VERB
fis-1486	73	12	to	to	ADP
fis-1486	73	13	the	the	DET
fis-1486	73	14	displacement	displacement	ADJ
fis-1486	73	15	field	field	NOUN
fis-1486	73	16	obtained	obtain	VERB
fis-1486	73	17	at	at	ADP
fis-1486	73	18	the	the	DET
fis-1486	73	19	crack	crack	NOUN
fis-1486	73	20	tip	tip	NOUN
fis-1486	73	21	during	during	ADP
fis-1486	73	22	an	an	DET
fis-1486	73	23	elastic	elastic	ADJ
fis-1486	73	24	loading	loading	NOUN
fis-1486	73	25	phase	phase	NOUN
fis-1486	73	26	with	with	ADP
fis-1486	73	27	either	either	CCONJ
fis-1486	73	28	δki	δki	PROPN
fis-1486	73	29	or	or	CCONJ
fis-1486	73	30	δkii	δkii	ADJ
fis-1486	73	31	equal	equal	ADJ
fis-1486	73	32	to	to	ADP
fis-1486	73	33	1mpa	1mpa	NUM
fis-1486	73	34	.	.	PUNCT
fis-1486	74	1	c.	c.	PROPN
fis-1486	74	2	montebello	montebello	PROPN
fis-1486	74	3	et	et	PROPN
fis-1486	74	4	alii	alii	PROPN
fis-1486	74	5	,	,	PUNCT
fis-1486	74	6	frattura	frattura	PROPN
fis-1486	74	7	ed	ed	PROPN
fis-1486	74	8	integrità	integrità	PROPN
fis-1486	74	9	strutturale	strutturale	PROPN
fis-1486	74	10	,	,	PUNCT
fis-1486	74	11	33	33	NUM
fis-1486	74	12	(	(	PUNCT
fis-1486	74	13	2015	2015	NUM
fis-1486	74	14	)	)	PUNCT
fis-1486	74	15	159	159	NUM
fis-1486	74	16	-	-	SYM
fis-1486	74	17	166	166	NUM
fis-1486	74	18	;	;	PUNCT
fis-1486	74	19	doi	doi	NOUN
fis-1486	74	20	:	:	PUNCT
fis-1486	74	21	10.3221	10.3221	NUM
fis-1486	74	22	/	/	SYM
fis-1486	74	23	igf	igf	PROPN
fis-1486	74	24	-	-	ADJ
fis-1486	74	25	esis.33.20	esis.33.20	PROPN
fis-1486	74	26	162	162	NUM
fis-1486	74	27	figure	figure	NOUN
fis-1486	74	28	3	3	NUM
fis-1486	74	29	:	:	PUNCT
fis-1486	74	30	radial	radial	ADJ
fis-1486	74	31	and	and	CCONJ
fis-1486	74	32	tangential	tangential	ADJ
fis-1486	74	33	evolution	evolution	NOUN
fis-1486	74	34	of	of	ADP
fis-1486	74	35	da	da	PROPN
fis-1486	74	36	.	.	PUNCT
fis-1486	75	1	the	the	DET
fis-1486	75	2	projection	projection	NOUN
fis-1486	75	3	of	of	ADP
fis-1486	75	4	the	the	DET
fis-1486	75	5	reference	reference	NOUN
fis-1486	75	6	fields	field	NOUN
fis-1486	75	7	on	on	ADP
fis-1486	75	8	the	the	DET
fis-1486	75	9	velocity	velocity	NOUN
fis-1486	75	10	field	field	NOUN
fis-1486	75	11	allows	allow	VERB
fis-1486	75	12	us	we	PRON
fis-1486	75	13	to	to	PART
fis-1486	75	14	extract	extract	VERB
fis-1486	75	15	is	be	AUX
fis-1486	75	16	and	and	CCONJ
fis-1486	75	17	ia	ia	PROPN
fis-1486	75	18	as	as	SCONJ
fis-1486	75	19	follows	follow	VERB
fis-1486	75	20	:	:	PUNCT
fis-1486	75	21			NOUN
fis-1486	75	22			PROPN
fis-1486	75	23	˙	˙	NOUN
fis-1486	75	24	,	,	PUNCT
fis-1486	75	25			PROPN
fis-1486	75	26			NUM
fis-1486	75	27			NUM
fis-1486	75	28			NOUN
fis-1486	76	1			PROPN
fis-1486	76	2			NUM
fis-1486	76	3			NUM
fis-1486	76	4			NUM
fis-1486	76	5	ω	ω	NUM
fis-1486	76	6	ω	ω	NOUN
fis-1486	76	7			NOUN
fis-1486	76	8	ns	ns	INTJ
fis-1486	77	1	ss	ss	INTJ
fis-1486	78	1	i	i	PRON
fis-1486	78	2	t	t	PROPN
fis-1486	78	3	is	be	AUX
fis-1486	78	4	i	i	PRON
fis-1486	78	5	t	t	PROPN
fis-1486	79	1	n	n	PROPN
fis-1486	79	2	s	s	PROPN
fis-1486	79	3	ss	ss	NOUN
fis-1486	79	4	s	s	VERB
fis-1486	79	5	i	i	INTJ
fis-1486	79	6	ii	ii	NOUN
fis-1486	79	7	v	v	INTJ
fis-1486	79	8	d	d	X
fis-1486	79	9	v	v	PROPN
fis-1486	80	1	d	d	NOUN
fis-1486	80	2	i	i	PRON
fis-1486	81	1	t	t	VERB
fis-1486	82	1	i	i	NOUN
fis-1486	83	1	d	d	NOUN
fis-1486	83	2	dd	dd	NOUN
fis-1486	83	3	d	d	X
fis-1486	83	4	(	(	PUNCT
fis-1486	83	5	4	4	NUM
fis-1486	83	6	)	)	PUNCT
fis-1486	83	7			NOUN
fis-1486	83	8			PROPN
fis-1486	83	9	˙	˙	NOUN
fis-1486	83	10	,	,	PUNCT
fis-1486	83	11			PROPN
fis-1486	83	12			NUM
fis-1486	83	13			NUM
fis-1486	83	14			NOUN
fis-1486	84	1			PROPN
fis-1486	84	2			NUM
fis-1486	84	3			NUM
fis-1486	84	4			NUM
fis-1486	84	5	ω	ω	NUM
fis-1486	84	6	ω	ω	NOUN
fis-1486	84	7			NOUN
fis-1486	84	8	na	na	INTJ
fis-1486	84	9	aa	aa	INTJ
fis-1486	85	1	i	i	PRON
fis-1486	85	2	t	t	PROPN
fis-1486	85	3	ia	ia	PROPN
fis-1486	86	1	i	i	PRON
fis-1486	86	2	t	t	PROPN
fis-1486	86	3	n	n	PROPN
fis-1486	86	4	a	a	DET
fis-1486	86	5	aa	aa	NOUN
fis-1486	87	1	a	a	PRON
fis-1486	87	2	i	i	NOUN
fis-1486	87	3	ii	ii	NOUN
fis-1486	87	4	v	v	NOUN
fis-1486	87	5	d	d	X
fis-1486	87	6	v	v	PROPN
fis-1486	88	1	d	d	NOUN
fis-1486	88	2	i	i	PRON
fis-1486	89	1	t	t	VERB
fis-1486	90	1	i	i	NOUN
fis-1486	91	1	d	d	NOUN
fis-1486	91	2	dd	dd	NOUN
fis-1486	91	3	d	d	X
fis-1486	91	4	(	(	PUNCT
fis-1486	91	5	5	5	NUM
fis-1486	91	6	)	)	PUNCT
fis-1486	91	7	a	a	DET
fis-1486	91	8	first	first	ADJ
fis-1486	91	9	approximation	approximation	NOUN
fis-1486	91	10	of	of	ADP
fis-1486	91	11	the	the	DET
fis-1486	91	12	velocity	velocity	NOUN
fis-1486	91	13	field	field	NOUN
fis-1486	91	14	is	be	AUX
fis-1486	91	15	therefore	therefore	ADV
fis-1486	91	16	obtained	obtain	VERB
fis-1486	91	17	:	:	PUNCT
fis-1486	91	18			NOUN
fis-1486	91	19			PROPN
fis-1486	91	20			NOUN
fis-1486	91	21			SYM
fis-1486	91	22			NOUN
fis-1486	91	23			SYM
fis-1486	91	24			NOUN
fis-1486	91	25			PUNCT
fis-1486	91	26			NOUN
fis-1486	91	27			PROPN
fis-1486	91	28	,	,	PUNCT
fis-1486	91	29			PROPN
fis-1486	91	30			VERB
fis-1486	91	31	e	e	PRON
fis-1486	91	32	s	s	PART
fis-1486	91	33	s	s	X
fis-1486	92	1	a	a	DET
fis-1486	92	2	av	av	NOUN
fis-1486	92	3	x	x	PUNCT
fis-1486	92	4	t	t	NOUN
fis-1486	93	1	i	i	PRON
fis-1486	93	2	t	t	PROPN
fis-1486	94	1	d	d	NOUN
fis-1486	94	2	x	x	X
fis-1486	95	1	i	i	NOUN
fis-1486	95	2	t	t	X
fis-1486	96	1	d	d	X
fis-1486	96	2	x	x	X
fis-1486	96	3	(	(	PUNCT
fis-1486	96	4	6	6	NUM
fis-1486	96	5	)	)	PUNCT
fis-1486	96	6	ve	ve	AUX
fis-1486	96	7	is	be	AUX
fis-1486	96	8	the	the	DET
fis-1486	96	9	elastic	elastic	ADJ
fis-1486	96	10	approximation	approximation	NOUN
fis-1486	96	11	of	of	ADP
fis-1486	96	12	the	the	DET
fis-1486	96	13	velocity	velocity	NOUN
fis-1486	96	14	field	field	NOUN
fis-1486	96	15	.	.	PUNCT
fis-1486	97	1	since	since	SCONJ
fis-1486	97	2	the	the	DET
fis-1486	97	3	friction	friction	NOUN
fis-1486	97	4	between	between	ADP
fis-1486	97	5	the	the	DET
fis-1486	97	6	contacting	contact	VERB
fis-1486	97	7	bodies	body	NOUN
fis-1486	97	8	introduces	introduce	VERB
fis-1486	97	9	a	a	DET
fis-1486	97	10	nonlinearity	nonlinearity	NOUN
fis-1486	97	11	in	in	ADP
fis-1486	97	12	the	the	DET
fis-1486	97	13	system	system	NOUN
fis-1486	97	14	a	a	DET
fis-1486	97	15	third	third	ADJ
fis-1486	97	16	term	term	NOUN
fis-1486	97	17	,	,	PUNCT
fis-1486	97	18	vc	vc	INTJ
fis-1486	97	19	,	,	PUNCT
fis-1486	97	20	has	have	VERB
fis-1486	97	21	to	to	PART
fis-1486	97	22	be	be	AUX
fis-1486	97	23	added	add	VERB
fis-1486	97	24	to	to	ADP
fis-1486	97	25	the	the	DET
fis-1486	97	26	approximation	approximation	NOUN
fis-1486	97	27	presented	present	VERB
fis-1486	97	28	in	in	ADP
fis-1486	97	29	eq	eq	ADP
fis-1486	97	30	.	.	PUNCT
fis-1486	98	1	(	(	PUNCT
fis-1486	98	2	6	6	NUM
fis-1486	98	3	)	)	PUNCT
fis-1486	98	4	,	,	PUNCT
fis-1486	98	5			NOUN
fis-1486	99	1			SYM
fis-1486	99	2			NOUN
fis-1486	99	3			PUNCT
fis-1486	99	4			PROPN
fis-1486	99	5			PROPN
fis-1486	99	6	,	,	PUNCT
fis-1486	99	7	,	,	PUNCT
fis-1486	99	8	,	,	PUNCT
fis-1486	99	9			PRON
fis-1486	99	10	c	c	VERB
fis-1486	99	11	ev	ev	X
fis-1486	99	12	x	x	PROPN
fis-1486	99	13	t	t	PROPN
fis-1486	99	14	v	v	NUM
fis-1486	99	15	x	x	SYM
fis-1486	99	16	t	t	PROPN
fis-1486	99	17	v	v	NOUN
fis-1486	99	18	x	x	X
fis-1486	99	19	t	t	PROPN
fis-1486	99	20	(	(	PUNCT
fis-1486	99	21	7	7	NUM
fis-1486	99	22	)	)	PUNCT
fis-1486	99	23	here	here	ADV
fis-1486	99	24	,	,	PUNCT
fis-1486	99	25	the	the	DET
fis-1486	99	26	karhumen	karhumen	NOUN
fis-1486	99	27	-	-	PUNCT
fis-1486	99	28	loeve	loeve	NOUN
fis-1486	99	29	decomposition	decomposition	NOUN
fis-1486	99	30	is	be	AUX
fis-1486	99	31	used	use	VERB
fis-1486	99	32	twice	twice	ADV
fis-1486	99	33	:	:	PUNCT
fis-1486	99	34	the	the	DET
fis-1486	99	35	first	first	ADJ
fis-1486	99	36	time	time	NOUN
fis-1486	99	37	to	to	PART
fis-1486	99	38	partition	partition	VERB
fis-1486	99	39	the	the	DET
fis-1486	99	40	residual	residual	ADJ
fis-1486	99	41	velocity	velocity	NOUN
fis-1486	99	42	field	field	NOUN
fis-1486	99	43	in	in	ADP
fis-1486	99	44	a	a	DET
fis-1486	99	45	product	product	NOUN
fis-1486	99	46	between	between	ADP
fis-1486	99	47	two	two	NUM
fis-1486	99	48	functions	function	NOUN
fis-1486	99	49	depending	depend	VERB
fis-1486	99	50	separately	separately	ADV
fis-1486	99	51	on	on	ADP
fis-1486	99	52	time	time	NOUN
fis-1486	99	53	and	and	CCONJ
fis-1486	99	54	space	space	NOUN
fis-1486	99	55	,	,	PUNCT
fis-1486	100	1			PROPN
fis-1486	100	2			SYM
fis-1486	100	3			NOUN
fis-1486	100	4			SYM
fis-1486	100	5			NOUN
fis-1486	100	6			SYM
fis-1486	100	7			NOUN
fis-1486	100	8			SYM
fis-1486	100	9			NOUN
fis-1486	100	10			PUNCT
fis-1486	100	11			PROPN
fis-1486	100	12			PROPN
fis-1486	100	13	,	,	PUNCT
fis-1486	100	14			X
fis-1486	100	15			ADJ
fis-1486	100	16	c	c	X
fis-1486	100	17	c	c	NOUN
fis-1486	100	18	c	c	NOUN
fis-1486	100	19	c	c	PROPN
fis-1486	100	20	c	c	PROPN
fis-1486	100	21	cv	cv	PROPN
fis-1486	100	22	x	x	X
fis-1486	100	23	t	t	PROPN
fis-1486	101	1	i	i	PRON
fis-1486	101	2	t	t	PROPN
fis-1486	102	1	d	d	NOUN
fis-1486	102	2	x	x	X
fis-1486	103	1	i	i	PRON
fis-1486	103	2	t	t	X
fis-1486	103	3	f	f	NOUN
fis-1486	103	4	r	r	NOUN
fis-1486	103	5	g	g	PROPN
fis-1486	103	6	(	(	PUNCT
fis-1486	103	7	7	7	NUM
fis-1486	103	8	)	)	PUNCT
fis-1486	103	9	and	and	CCONJ
fis-1486	103	10	the	the	DET
fis-1486	103	11	second	second	ADJ
fis-1486	103	12	time	time	NOUN
fis-1486	103	13	to	to	PART
fis-1486	103	14	analyze	analyze	VERB
fis-1486	103	15	the	the	DET
fis-1486	103	16	evolution	evolution	NOUN
fis-1486	103	17	of	of	ADP
fis-1486	103	18	dc	dc	PROPN
fis-1486	103	19	with	with	ADP
fis-1486	103	20	respect	respect	NOUN
fis-1486	103	21	to	to	ADP
fis-1486	103	22	r	r	NOUN
fis-1486	103	23	and	and	CCONJ
fis-1486	103	24	θ	θ	NOUN
fis-1486	103	25	,	,	PUNCT
fis-1486	103	26	as	as	SCONJ
fis-1486	103	27	presented	present	VERB
fis-1486	103	28	in	in	ADP
fis-1486	103	29	fig	fig	NOUN
fis-1486	103	30	.	.	PUNCT
fis-1486	104	1	4	4	X
fis-1486	104	2	.	.	X
fis-1486	104	3	also	also	ADV
fis-1486	104	4	in	in	ADP
fis-1486	104	5	this	this	DET
fis-1486	104	6	case	case	NOUN
fis-1486	104	7	the	the	DET
fis-1486	104	8	field	field	NOUN
fis-1486	104	9	is	be	AUX
fis-1486	104	10	normalized	normalize	VERB
fis-1486	104	11	in	in	ADP
fis-1486	104	12	order	order	NOUN
fis-1486	104	13	to	to	PART
fis-1486	104	14	assure	assure	VERB
fis-1486	104	15	that	that	SCONJ
fis-1486	104	16	fc(r=0	fc(r=0	ADJ
fis-1486	104	17	)	)	PUNCT
fis-1486	104	18	is	be	AUX
fis-1486	104	19	equal	equal	ADJ
fis-1486	104	20	to	to	ADP
fis-1486	104	21	1	1	NUM
fis-1486	104	22	.	.	PUNCT
fis-1486	105	1	by	by	ADP
fis-1486	105	2	contrast	contrast	NOUN
fis-1486	105	3	with	with	ADP
fis-1486	105	4	the	the	DET
fis-1486	105	5	elastic	elastic	ADJ
fis-1486	105	6	reference	reference	NOUN
fis-1486	105	7	fields	field	NOUN
fis-1486	105	8	,	,	PUNCT
fis-1486	105	9	here	here	ADV
fis-1486	105	10	the	the	DET
fis-1486	105	11	intensity	intensity	NOUN
fis-1486	105	12	decreases	decrease	VERB
fis-1486	105	13	quickly	quickly	ADV
fis-1486	105	14	far	far	ADV
fis-1486	105	15	from	from	ADP
fis-1486	105	16	the	the	DET
fis-1486	105	17	contact	contact	NOUN
fis-1486	105	18	confirming	confirm	VERB
fis-1486	105	19	the	the	DET
fis-1486	105	20	extremely	extremely	ADV
fis-1486	105	21	localized	localized	ADJ
fis-1486	105	22	effect	effect	NOUN
fis-1486	105	23	of	of	ADP
fis-1486	105	24	friction	friction	NOUN
fis-1486	105	25	.	.	PUNCT
fis-1486	106	1	the	the	DET
fis-1486	106	2	error	error	NOUN
fis-1486	106	3	introduced	introduce	VERB
fis-1486	106	4	by	by	ADP
fis-1486	106	5	the	the	DET
fis-1486	106	6	approximation	approximation	NOUN
fis-1486	106	7	can	can	AUX
fis-1486	106	8	be	be	AUX
fis-1486	106	9	defined	define	VERB
fis-1486	106	10	as	as	SCONJ
fis-1486	106	11	follows	follow	VERB
fis-1486	106	12	:	:	PUNCT
fis-1486	106	13			NOUN
fis-1486	107	1			SYM
fis-1486	107	2			NOUN
fis-1486	107	3			SYM
fis-1486	107	4			NOUN
fis-1486	107	5			PUNCT
fis-1486	107	6			NOUN
fis-1486	107	7			PROPN
fis-1486	107	8	2	2	NUM
fis-1486	107	9	2	2	NUM
fis-1486	107	10	,	,	PUNCT
fis-1486	107	11	,	,	PUNCT
fis-1486	107	12	,	,	PUNCT
fis-1486	107	13			PROPN
fis-1486	107	14			X
fis-1486	107	15			PROPN
fis-1486	107	16			X
fis-1486	107	17			PUNCT
fis-1486	107	18	ω	ω	NOUN
fis-1486	107	19	ω	ω	X
fis-1486	107	20	e	e	X
fis-1486	107	21	e	e	X
fis-1486	107	22	v	v	X
fis-1486	107	23	x	x	SYM
fis-1486	107	24	t	t	NOUN
fis-1486	107	25	v	v	NOUN
fis-1486	107	26	x	x	SYM
fis-1486	107	27	t	t	PROPN
fis-1486	107	28	ξ	ξ	PROPN
fis-1486	107	29	t	t	NOUN
fis-1486	107	30	v	v	X
fis-1486	107	31	x	x	SYM
fis-1486	107	32	t	t	PROPN
fis-1486	107	33	(	(	PUNCT
fis-1486	107	34	8)	8)	NUM
fis-1486	107	35			NOUN
fis-1486	107	36			SYM
fis-1486	107	37			NOUN
fis-1486	107	38			SYM
fis-1486	107	39			NOUN
fis-1486	107	40			SYM
fis-1486	107	41			NOUN
fis-1486	107	42			PUNCT
fis-1486	107	43			NOUN
fis-1486	107	44			PROPN
fis-1486	107	45	2	2	NUM
fis-1486	107	46	2	2	NUM
fis-1486	107	47	,	,	PUNCT
fis-1486	107	48	,	,	PUNCT
fis-1486	107	49	,	,	PUNCT
fis-1486	107	50	,	,	PUNCT
fis-1486	107	51			PROPN
fis-1486	107	52			PROPN
fis-1486	107	53			NOUN
fis-1486	107	54			PROPN
fis-1486	107	55			X
fis-1486	107	56			PROPN
fis-1486	107	57	ω	ω	NOUN
fis-1486	107	58	ω	ω	X
fis-1486	108	1	e	e	X
fis-1486	108	2	c	c	PROPN
fis-1486	108	3	t	t	PROPN
fis-1486	108	4	v	v	NOUN
fis-1486	108	5	x	x	SYM
fis-1486	108	6	t	t	PROPN
fis-1486	108	7	v	v	NUM
fis-1486	108	8	x	x	SYM
fis-1486	108	9	t	t	PROPN
fis-1486	108	10	v	v	NOUN
fis-1486	108	11	x	x	SYM
fis-1486	108	12	t	t	PROPN
fis-1486	108	13	ξ	ξ	PROPN
fis-1486	108	14	t	t	NOUN
fis-1486	108	15	v	v	X
fis-1486	108	16	x	x	SYM
fis-1486	108	17	t	t	PROPN
fis-1486	108	18	(	(	PUNCT
fis-1486	108	19	9	9	NUM
fis-1486	108	20	)	)	PUNCT
fis-1486	108	21	where	where	SCONJ
fis-1486	108	22	e	e	NOUN
fis-1486	108	23	is	be	AUX
fis-1486	108	24	the	the	DET
fis-1486	108	25	error	error	NOUN
fis-1486	108	26	introduced	introduce	VERB
fis-1486	108	27	considering	consider	VERB
fis-1486	108	28	just	just	ADV
fis-1486	108	29	the	the	DET
fis-1486	108	30	elastic	elastic	ADJ
fis-1486	108	31	approximation	approximation	NOUN
fis-1486	108	32	while	while	SCONJ
fis-1486	108	33	in	in	ADP
fis-1486	108	34	t	t	ADP
fis-1486	108	35	all	all	DET
fis-1486	108	36	the	the	DET
fis-1486	108	37	terms	term	NOUN
fis-1486	108	38	presented	present	VERB
fis-1486	108	39	in	in	ADP
fis-1486	108	40	eq	eq	ADP
fis-1486	108	41	.	.	PUNCT
fis-1486	109	1	(	(	PUNCT
fis-1486	109	2	1	1	X
fis-1486	109	3	)	)	PUNCT
fis-1486	109	4	are	be	AUX
fis-1486	109	5	taken	take	VERB
fis-1486	109	6	into	into	ADP
fis-1486	109	7	account	account	NOUN
fis-1486	109	8	.	.	PUNCT
fis-1486	110	1	in	in	ADP
fis-1486	110	2	fig	fig	NOUN
fis-1486	110	3	.	.	PUNCT
fis-1486	111	1	5	5	NUM
fis-1486	111	2	the	the	DET
fis-1486	111	3	evolution	evolution	NOUN
fis-1486	111	4	of	of	ADP
fis-1486	111	5	the	the	DET
fis-1486	111	6	error	error	NOUN
fis-1486	111	7	during	during	ADP
fis-1486	111	8	a	a	DET
fis-1486	111	9	fretting	fret	VERB
fis-1486	111	10	-	-	PUNCT
fis-1486	111	11	simulation	simulation	NOUN
fis-1486	111	12	is	be	AUX
fis-1486	111	13	shown	show	VERB
fis-1486	111	14	.	.	PUNCT
fis-1486	112	1	it	it	PRON
fis-1486	112	2	is	be	AUX
fis-1486	112	3	worth	worth	ADJ
fis-1486	112	4	noting	note	VERB
fis-1486	112	5	that	that	SCONJ
fis-1486	112	6	the	the	DET
fis-1486	112	7	total	total	ADJ
fis-1486	112	8	error	error	NOUN
fis-1486	112	9	falls	fall	VERB
fis-1486	112	10	below	below	ADP
fis-1486	112	11	5	5	NUM
fis-1486	112	12	%	%	NOUN
fis-1486	112	13	.	.	PUNCT
fis-1486	113	1	c.	c.	PROPN
fis-1486	113	2	montebello	montebello	PROPN
fis-1486	113	3	et	et	PROPN
fis-1486	113	4	alii	alii	PROPN
fis-1486	113	5	,	,	PUNCT
fis-1486	113	6	frattura	frattura	PROPN
fis-1486	113	7	ed	ed	PROPN
fis-1486	113	8	integrità	integrità	PROPN
fis-1486	113	9	strutturale	strutturale	PROPN
fis-1486	113	10	,	,	PUNCT
fis-1486	113	11	33	33	NUM
fis-1486	113	12	(	(	PUNCT
fis-1486	113	13	2015	2015	NUM
fis-1486	113	14	)	)	PUNCT
fis-1486	113	15	159	159	NUM
fis-1486	113	16	-	-	SYM
fis-1486	113	17	166	166	NUM
fis-1486	113	18	;	;	PUNCT
fis-1486	113	19	doi	doi	NOUN
fis-1486	113	20	:	:	PUNCT
fis-1486	113	21	10.3221	10.3221	NUM
fis-1486	113	22	/	/	SYM
fis-1486	113	23	igf	igf	PROPN
fis-1486	113	24	-	-	ADJ
fis-1486	113	25	esis.33.20	esis.33.20	PROPN
fis-1486	113	26	163	163	NUM
fis-1486	113	27	figure	figure	NOUN
fis-1486	113	28	4	4	NUM
fis-1486	113	29	:	:	PUNCT
fis-1486	113	30	radial	radial	ADJ
fis-1486	113	31	and	and	CCONJ
fis-1486	113	32	tangential	tangential	ADJ
fis-1486	113	33	evolution	evolution	NOUN
fis-1486	113	34	of	of	ADP
fis-1486	113	35	dc	dc	PROPN
fis-1486	113	36	.	.	PUNCT
fis-1486	113	37	figure	figure	VERB
fis-1486	113	38	5	5	NUM
fis-1486	113	39	:	:	PUNCT
fis-1486	113	40	error	error	NOUN
fis-1486	113	41	evolution	evolution	NOUN
fis-1486	113	42	during	during	ADP
fis-1486	113	43	fretting	fret	VERB
fis-1486	113	44	-	-	PUNCT
fis-1486	113	45	fatigue	fatigue	NOUN
fis-1486	113	46	simulation	simulation	NOUN
fis-1486	113	47	.	.	PUNCT
fis-1486	114	1	the	the	DET
fis-1486	114	2	maximum	maximum	NOUN
fis-1486	114	3	of	of	ADP
fis-1486	114	4	the	the	DET
fis-1486	114	5	cumulative	cumulative	ADJ
fis-1486	114	6	integral	integral	NOUN
fis-1486	114	7	of	of	ADP
fis-1486	114	8	the	the	DET
fis-1486	114	9	intensity	intensity	NOUN
fis-1486	114	10	factors	factor	NOUN
fis-1486	114	11	rate	rate	NOUN
fis-1486	114	12	is	be	AUX
fis-1486	114	13	computed	compute	VERB
fis-1486	114	14	in	in	SCONJ
fis-1486	114	15	order	order	NOUN
fis-1486	114	16	to	to	PART
fis-1486	114	17	obtain	obtain	VERB
fis-1486	114	18	,	,	PUNCT
fis-1486	114	19	ia	ia	PROPN
fis-1486	114	20	,	,	PUNCT
fis-1486	114	21	is	be	AUX
fis-1486	114	22	,	,	PUNCT
fis-1486	114	23	ic	ic	PROPN
fis-1486	114	24	.	.	PUNCT
fis-1486	115	1	to	to	PART
fis-1486	115	2	resume	resume	VERB
fis-1486	115	3	for	for	ADP
fis-1486	115	4	any	any	DET
fis-1486	115	5	given	give	VERB
fis-1486	115	6	macroscopic	macroscopic	ADJ
fis-1486	115	7	load	load	NOUN
fis-1486	115	8	combination	combination	NOUN
fis-1486	115	9	(	(	PUNCT
fis-1486	115	10	p	p	X
fis-1486	115	11	,	,	PUNCT
fis-1486	115	12	q	q	X
fis-1486	115	13	,	,	PUNCT
fis-1486	115	14	σfa	σfa	PROPN
fis-1486	115	15	)	)	PUNCT
fis-1486	115	16	,	,	PUNCT
fis-1486	115	17	a	a	DET
fis-1486	115	18	univocal	univocal	ADJ
fis-1486	115	19	set	set	NOUN
fis-1486	115	20	of	of	ADP
fis-1486	115	21	nonlocal	nonlocal	ADJ
fis-1486	115	22	intensity	intensity	NOUN
fis-1486	115	23	factors	factor	NOUN
fis-1486	115	24	(	(	PUNCT
fis-1486	115	25	ia	ia	PROPN
fis-1486	115	26	,	,	PUNCT
fis-1486	115	27	is	be	AUX
fis-1486	115	28	,	,	PUNCT
fis-1486	115	29	ic	ic	PRON
fis-1486	115	30	)	)	PUNCT
fis-1486	115	31	is	be	AUX
fis-1486	115	32	found	find	VERB
fis-1486	115	33	which	which	PRON
fis-1486	115	34	characterizes	characterize	VERB
fis-1486	115	35	completely	completely	ADV
fis-1486	115	36	the	the	DET
fis-1486	115	37	stress	stress	NOUN
fis-1486	115	38	field	field	NOUN
fis-1486	115	39	close	close	ADV
fis-1486	115	40	to	to	ADP
fis-1486	115	41	the	the	DET
fis-1486	115	42	contact	contact	NOUN
fis-1486	115	43	edge	edge	NOUN
fis-1486	115	44	.	.	PUNCT
fis-1486	116	1	experimental	experimental	ADJ
fis-1486	116	2	validation	validation	NOUN
fis-1486	116	3	he	he	PRON
fis-1486	116	4	procedure	procedure	NOUN
fis-1486	116	5	described	describe	VERB
fis-1486	116	6	in	in	ADP
fis-1486	116	7	the	the	DET
fis-1486	116	8	previous	previous	ADJ
fis-1486	116	9	section	section	NOUN
fis-1486	116	10	has	have	AUX
fis-1486	116	11	been	be	AUX
fis-1486	116	12	validated	validate	VERB
fis-1486	116	13	by	by	ADP
fis-1486	116	14	comparing	compare	VERB
fis-1486	116	15	it	it	PRON
fis-1486	116	16	to	to	ADP
fis-1486	116	17	the	the	DET
fis-1486	116	18	experimental	experimental	ADJ
fis-1486	116	19	results	result	NOUN
fis-1486	116	20	coming	come	VERB
fis-1486	116	21	from	from	ADP
fis-1486	116	22	the	the	DET
fis-1486	116	23	work	work	NOUN
fis-1486	116	24	of	of	ADP
fis-1486	116	25	fouvry	fouvry	NOUN
fis-1486	117	1	[	[	X
fis-1486	117	2	2	2	NUM
fis-1486	117	3	]	]	PUNCT
fis-1486	117	4	.	.	PUNCT
fis-1486	118	1	the	the	DET
fis-1486	118	2	author	author	NOUN
fis-1486	118	3	performs	perform	VERB
fis-1486	118	4	several	several	ADJ
fis-1486	118	5	plain	plain	ADJ
fis-1486	118	6	fretting	fret	VERB
fis-1486	118	7	tests	test	NOUN
fis-1486	118	8	using	use	VERB
fis-1486	118	9	a	a	DET
fis-1486	118	10	cylinder	cylinder	NOUN
fis-1486	118	11	-	-	PUNCT
fis-1486	118	12	plain	plain	NOUN
fis-1486	118	13	apparatus	apparatus	NOUN
fis-1486	118	14	in	in	ADP
fis-1486	118	15	order	order	NOUN
fis-1486	118	16	to	to	PART
fis-1486	118	17	determine	determine	VERB
fis-1486	118	18	different	different	ADJ
fis-1486	118	19	crack	crack	NOUN
fis-1486	118	20	initiation	initiation	NOUN
fis-1486	118	21	frontiers	frontier	NOUN
fis-1486	118	22	as	as	ADP
fis-1486	118	23	a	a	DET
fis-1486	118	24	function	function	NOUN
fis-1486	118	25	of	of	ADP
fis-1486	118	26	the	the	DET
fis-1486	118	27	pad	pad	NOUN
fis-1486	118	28	radius	radius	NOUN
fis-1486	118	29	used	use	VERB
fis-1486	118	30	.	.	PUNCT
fis-1486	119	1	the	the	DET
fis-1486	119	2	material	material	NOUN
fis-1486	119	3	employed	employ	VERB
fis-1486	119	4	in	in	ADP
fis-1486	119	5	the	the	DET
fis-1486	119	6	experimental	experimental	ADJ
fis-1486	119	7	campaign	campaign	NOUN
fis-1486	119	8	is	be	AUX
fis-1486	119	9	35	35	NUM
fis-1486	119	10	ni	ni	PROPN
fis-1486	119	11	cr	cr	PROPN
fis-1486	119	12	mo	mo	PROPN
fis-1486	119	13	16	16	NUM
fis-1486	119	14	low	low	ADJ
fis-1486	119	15	-	-	PUNCT
fis-1486	119	16	alloyed	alloy	VERB
fis-1486	119	17	steel	steel	NOUN
fis-1486	119	18	with	with	ADP
fis-1486	119	19	the	the	DET
fis-1486	119	20	following	follow	VERB
fis-1486	119	21	properties	property	NOUN
fis-1486	119	22	:	:	PUNCT
fis-1486	119	23	o	o	PROPN
fis-1486	119	24	young	young	PROPN
fis-1486	119	25	’s	’s	PART
fis-1486	119	26	modulus	modulus	NOUN
fis-1486	119	27	=	=	SYM
fis-1486	119	28	205000	205000	NUM
fis-1486	119	29	mpa	mpa	NOUN
fis-1486	119	30	o	o	PROPN
fis-1486	119	31	poisson	poisson	PROPN
fis-1486	119	32	’s	’s	PART
fis-1486	119	33	ratio	ratio	NOUN
fis-1486	119	34	=	=	PUNCT
fis-1486	119	35	0.3	0.3	NUM
fis-1486	119	36	o	o	NOUN
fis-1486	119	37	yeld	yeld	PROPN
fis-1486	119	38	stress	stress	NOUN
fis-1486	119	39	(	(	PUNCT
fis-1486	119	40	0.2	0.2	NUM
fis-1486	119	41	%	%	NOUN
fis-1486	119	42	)	)	PUNCT
fis-1486	120	1	=	=	SYM
fis-1486	120	2	950	950	NUM
fis-1486	120	3	mpa	mpa	NOUN
fis-1486	120	4	o	o	NOUN
fis-1486	121	1	ultimate	ultimate	ADJ
fis-1486	121	2	stress=	stress=	NUM
fis-1486	121	3	1130	1130	NUM
fis-1486	121	4	mpa	mpa	NOUN
fis-1486	121	5	o	o	NOUN
fis-1486	121	6	traction	traction	PROPN
fis-1486	121	7	compression	compression	NOUN
fis-1486	121	8	fatigue	fatigue	NOUN
fis-1486	121	9	limit	limit	NOUN
fis-1486	121	10	(	(	PUNCT
fis-1486	121	11	r=-1	r=-1	ADJ
fis-1486	121	12	,	,	PUNCT
fis-1486	121	13	107	107	NUM
fis-1486	121	14	cycles	cycle	NOUN
fis-1486	121	15	)	)	PUNCT
fis-1486	121	16	=	=	SYM
fis-1486	121	17	575	575	NUM
fis-1486	121	18	mpa	mpa	NOUN
fis-1486	121	19	o	o	NOUN
fis-1486	121	20	shear	shear	NOUN
fis-1486	121	21	fatigue	fatigue	NOUN
fis-1486	121	22	limit	limit	NOUN
fis-1486	121	23	(	(	PUNCT
fis-1486	121	24	r=-1	r=-1	ADJ
fis-1486	121	25	,	,	PUNCT
fis-1486	121	26	107	107	NUM
fis-1486	121	27	cycles	cycle	NOUN
fis-1486	121	28	)	)	PUNCT
fis-1486	121	29	=	=	SYM
fis-1486	121	30	386	386	NUM
fis-1486	121	31	mpa	mpa	NOUN
fis-1486	121	32	o	o	NOUN
fis-1486	121	33	long	long	ADJ
fis-1486	121	34	crack	crack	NOUN
fis-1486	121	35	threshold	threshold	NOUN
fis-1486	121	36	,	,	PUNCT
fis-1486	121	37	δk0	δk0	PROPN
fis-1486	121	38	=	=	PUNCT
fis-1486	121	39	3.2	3.2	NUM
fis-1486	121	40	concerning	concern	VERB
fis-1486	121	41	the	the	DET
fis-1486	121	42	test	test	NOUN
fis-1486	121	43	apparatus	apparatus	NOUN
fis-1486	121	44	,	,	PUNCT
fis-1486	121	45	the	the	DET
fis-1486	121	46	plain	plain	ADJ
fis-1486	121	47	fretting	fret	VERB
fis-1486	121	48	tests	test	NOUN
fis-1486	121	49	are	be	AUX
fis-1486	121	50	carried	carry	VERB
fis-1486	121	51	out	out	ADP
fis-1486	121	52	using	use	VERB
fis-1486	121	53	a	a	DET
fis-1486	121	54	tension	tension	NOUN
fis-1486	121	55	-	-	PUNCT
fis-1486	121	56	compression	compression	NOUN
fis-1486	121	57	hydraulic	hydraulic	ADJ
fis-1486	121	58	system	system	NOUN
fis-1486	121	59	as	as	SCONJ
fis-1486	121	60	presented	present	VERB
fis-1486	121	61	in	in	ADP
fis-1486	121	62	fig	fig	NOUN
fis-1486	121	63	.	.	PUNCT
fis-1486	122	1	6	6	NUM
fis-1486	122	2	.	.	X
fis-1486	122	3	the	the	DET
fis-1486	122	4	normal	normal	ADJ
fis-1486	122	5	force	force	NOUN
fis-1486	122	6	(	(	PUNCT
fis-1486	122	7	p	p	NOUN
fis-1486	122	8	)	)	PUNCT
fis-1486	122	9	is	be	AUX
fis-1486	122	10	kept	keep	VERB
fis-1486	122	11	constant	constant	ADJ
fis-1486	122	12	,	,	PUNCT
fis-1486	122	13	while	while	SCONJ
fis-1486	122	14	a	a	DET
fis-1486	122	15	purely	purely	ADV
fis-1486	122	16	alternating	alternate	VERB
fis-1486	122	17	cyclic	cyclic	ADJ
fis-1486	122	18	displacement	displacement	NOUN
fis-1486	122	19	(	(	PUNCT
fis-1486	122	20	δ	δ	NOUN
fis-1486	122	21	)	)	PUNCT
fis-1486	122	22	is	be	AUX
fis-1486	122	23	imposed	impose	VERB
fis-1486	122	24	.	.	PUNCT
fis-1486	123	1	as	as	ADP
fis-1486	123	2	a	a	DET
fis-1486	123	3	consequence	consequence	NOUN
fis-1486	123	4	,	,	PUNCT
fis-1486	123	5	a	a	DET
fis-1486	123	6	cyclic	cyclic	ADJ
fis-1486	123	7	tangential	tangential	ADJ
fis-1486	123	8	load	load	NOUN
fis-1486	123	9	(	(	PUNCT
fis-1486	123	10	q	q	X
fis-1486	123	11	)	)	PUNCT
fis-1486	123	12	is	be	AUX
fis-1486	123	13	generated	generate	VERB
fis-1486	123	14	at	at	ADP
fis-1486	123	15	the	the	DET
fis-1486	123	16	contact	contact	NOUN
fis-1486	123	17	surface	surface	NOUN
fis-1486	123	18	.	.	PUNCT
fis-1486	124	1	after	after	ADP
fis-1486	124	2	a	a	DET
fis-1486	124	3	certain	certain	ADJ
fis-1486	124	4	number	number	NOUN
fis-1486	124	5	of	of	ADP
fis-1486	124	6	cycles	cycle	NOUN
fis-1486	124	7	,	,	PUNCT
fis-1486	124	8	usually	usually	ADV
fis-1486	124	9	105	105	NUM
fis-1486	124	10	or	or	CCONJ
fis-1486	124	11	106	106	NUM
fis-1486	124	12	,	,	PUNCT
fis-1486	124	13	the	the	DET
fis-1486	124	14	test	test	NOUN
fis-1486	124	15	is	be	AUX
fis-1486	124	16	stopped	stop	VERB
fis-1486	124	17	and	and	CCONJ
fis-1486	124	18	the	the	DET
fis-1486	124	19	specimen	speciman	NOUN
fis-1486	124	20	is	be	AUX
fis-1486	124	21	cut	cut	VERB
fis-1486	124	22	along	along	ADP
fis-1486	124	23	the	the	DET
fis-1486	124	24	median	median	ADJ
fis-1486	124	25	axis	axis	NOUN
fis-1486	124	26	of	of	ADP
fis-1486	124	27	the	the	DET
fis-1486	124	28	fretting	fret	VERB
fis-1486	124	29	scar	scar	NOUN
fis-1486	124	30	in	in	ADP
fis-1486	124	31	order	order	NOUN
fis-1486	124	32	to	to	PART
fis-1486	124	33	verify	verify	VERB
fis-1486	124	34	whether	whether	SCONJ
fis-1486	124	35	the	the	DET
fis-1486	124	36	crack	crack	NOUN
fis-1486	124	37	is	be	AUX
fis-1486	124	38	initiated	initiate	VERB
fis-1486	124	39	or	or	CCONJ
fis-1486	124	40	not	not	PART
fis-1486	124	41	.	.	PUNCT
fis-1486	125	1	this	this	DET
fis-1486	125	2	procedure	procedure	NOUN
fis-1486	125	3	is	be	AUX
fis-1486	125	4	repeated	repeat	VERB
fis-1486	125	5	several	several	ADJ
fis-1486	125	6	times	time	NOUN
fis-1486	125	7	to	to	PART
fis-1486	125	8	find	find	VERB
fis-1486	125	9	the	the	DET
fis-1486	125	10	tangential	tangential	ADJ
fis-1486	125	11	load	load	NOUN
fis-1486	125	12	amplitudes	amplitude	NOUN
fis-1486	125	13	(	(	PUNCT
fis-1486	125	14	q∗	q∗	NOUN
fis-1486	125	15	)	)	PUNCT
fis-1486	125	16	that	that	PRON
fis-1486	125	17	provokes	provoke	VERB
fis-1486	125	18	crack	crack	VERB
fis-1486	125	19	initiation	initiation	NOUN
fis-1486	125	20	for	for	ADP
fis-1486	125	21	a	a	DET
fis-1486	125	22	given	give	VERB
fis-1486	125	23	normal	normal	ADJ
fis-1486	125	24	load	load	NOUN
fis-1486	125	25	.	.	PUNCT
fis-1486	126	1	here	here	ADV
fis-1486	126	2	,	,	PUNCT
fis-1486	126	3	the	the	DET
fis-1486	126	4	crack	crack	NOUN
fis-1486	126	5	is	be	AUX
fis-1486	126	6	considered	consider	VERB
fis-1486	126	7	“	"	PUNCT
fis-1486	126	8	initiated	initiate	VERB
fis-1486	126	9	”	"	PUNCT
fis-1486	126	10	if	if	SCONJ
fis-1486	126	11	its	its	PRON
fis-1486	126	12	projected	project	VERB
fis-1486	126	13	length	length	NOUN
fis-1486	126	14	is	be	AUX
fis-1486	126	15	higher	high	ADJ
fis-1486	126	16	than	than	ADP
fis-1486	126	17	10	10	NUM
fis-1486	126	18	μm	μm	NOUN
fis-1486	126	19	.	.	PUNCT
fis-1486	127	1	t	t	PROPN
fis-1486	127	2	c.	c.	PROPN
fis-1486	127	3	montebello	montebello	PROPN
fis-1486	127	4	et	et	PROPN
fis-1486	127	5	alii	alii	PROPN
fis-1486	127	6	,	,	PUNCT
fis-1486	127	7	frattura	frattura	PROPN
fis-1486	127	8	ed	ed	PROPN
fis-1486	127	9	integrità	integrità	PROPN
fis-1486	127	10	strutturale	strutturale	PROPN
fis-1486	127	11	,	,	PUNCT
fis-1486	127	12	33	33	NUM
fis-1486	127	13	(	(	PUNCT
fis-1486	127	14	2015	2015	NUM
fis-1486	127	15	)	)	PUNCT
fis-1486	127	16	159	159	NUM
fis-1486	127	17	-	-	SYM
fis-1486	127	18	166	166	NUM
fis-1486	127	19	;	;	PUNCT
fis-1486	127	20	doi	doi	NOUN
fis-1486	127	21	:	:	PUNCT
fis-1486	128	1	10.3221	10.3221	NUM
fis-1486	128	2	/	/	SYM
fis-1486	128	3	igf	igf	PROPN
fis-1486	128	4	-	-	ADJ
fis-1486	128	5	esis.33.20	esis.33.20	PROPN
fis-1486	128	6	164	164	NUM
fis-1486	128	7	to	to	PART
fis-1486	128	8	highlight	highlight	VERB
fis-1486	128	9	the	the	DET
fis-1486	128	10	stress	stress	NOUN
fis-1486	128	11	gradient	gradient	ADJ
fis-1486	128	12	effect	effect	NOUN
fis-1486	128	13	,	,	PUNCT
fis-1486	128	14	this	this	DET
fis-1486	128	15	process	process	NOUN
fis-1486	128	16	is	be	AUX
fis-1486	128	17	reiterated	reiterate	VERB
fis-1486	128	18	for	for	ADP
fis-1486	128	19	different	different	ADJ
fis-1486	128	20	cylinder	cylinder	NOUN
fis-1486	128	21	radii	radius	NOUN
fis-1486	128	22	.	.	PUNCT
fis-1486	129	1	varying	vary	VERB
fis-1486	129	2	the	the	DET
fis-1486	129	3	normal	normal	ADJ
fis-1486	129	4	force	force	NOUN
fis-1486	129	5	,	,	PUNCT
fis-1486	129	6	the	the	DET
fis-1486	129	7	normal	normal	ADJ
fis-1486	129	8	pressure	pressure	NOUN
fis-1486	129	9	(	(	PUNCT
fis-1486	129	10	p0	p0	NOUN
fis-1486	129	11	)	)	PUNCT
fis-1486	129	12	at	at	ADP
fis-1486	129	13	the	the	DET
fis-1486	129	14	contact	contact	NOUN
fis-1486	129	15	surface	surface	NOUN
fis-1486	129	16	is	be	AUX
fis-1486	129	17	kept	keep	VERB
fis-1486	129	18	constant	constant	ADJ
fis-1486	129	19	and	and	CCONJ
fis-1486	129	20	,	,	PUNCT
fis-1486	129	21	therefore	therefore	ADV
fis-1486	129	22	,	,	PUNCT
fis-1486	129	23	the	the	DET
fis-1486	129	24	eventual	eventual	ADJ
fis-1486	129	25	difference	difference	NOUN
fis-1486	129	26	in	in	ADP
fis-1486	129	27	the	the	DET
fis-1486	129	28	initiation	initiation	NOUN
fis-1486	129	29	threshold	threshold	NOUN
fis-1486	129	30	needs	need	VERB
fis-1486	129	31	to	to	PART
fis-1486	129	32	be	be	AUX
fis-1486	129	33	caused	cause	VERB
fis-1486	129	34	by	by	ADP
fis-1486	129	35	different	different	ADJ
fis-1486	129	36	stress	stress	NOUN
fis-1486	129	37	gradients	gradient	NOUN
fis-1486	129	38	generated	generate	VERB
fis-1486	129	39	by	by	ADP
fis-1486	129	40	the	the	DET
fis-1486	129	41	change	change	NOUN
fis-1486	129	42	in	in	ADP
fis-1486	129	43	geometry	geometry	NOUN
fis-1486	129	44	.	.	PUNCT
fis-1486	130	1	figure	figure	VERB
fis-1486	130	2	6	6	NUM
fis-1486	130	3	:	:	PUNCT
fis-1486	130	4	schematic	schematic	ADJ
fis-1486	130	5	representation	representation	NOUN
fis-1486	130	6	of	of	ADP
fis-1486	130	7	a	a	DET
fis-1486	130	8	plain	plain	ADJ
fis-1486	130	9	fretting	fret	VERB
fis-1486	130	10	apparatus	apparatus	NOUN
fis-1486	130	11	.	.	PUNCT
fis-1486	131	1	in	in	ADP
fis-1486	131	2	fig	fig	NOUN
fis-1486	131	3	.	.	PUNCT
fis-1486	132	1	7	7	NUM
fis-1486	132	2	,	,	PUNCT
fis-1486	132	3	the	the	DET
fis-1486	132	4	experimental	experimental	ADJ
fis-1486	132	5	crack	crack	NOUN
fis-1486	132	6	initiation	initiation	NOUN
fis-1486	132	7	frontiers	frontier	NOUN
fis-1486	132	8	are	be	AUX
fis-1486	132	9	presented	present	VERB
fis-1486	132	10	.	.	PUNCT
fis-1486	133	1	it	it	PRON
fis-1486	133	2	is	be	AUX
fis-1486	133	3	clear	clear	ADJ
fis-1486	133	4	that	that	SCONJ
fis-1486	133	5	the	the	DET
fis-1486	133	6	gradient	gradient	ADJ
fis-1486	133	7	effect	effect	NOUN
fis-1486	133	8	plays	play	VERB
fis-1486	133	9	an	an	DET
fis-1486	133	10	important	important	ADJ
fis-1486	133	11	role	role	NOUN
fis-1486	133	12	.	.	PUNCT
fis-1486	134	1	in	in	ADP
fis-1486	134	2	particular	particular	ADJ
fis-1486	134	3	it	it	PRON
fis-1486	134	4	is	be	AUX
fis-1486	134	5	evident	evident	ADJ
fis-1486	134	6	that	that	SCONJ
fis-1486	134	7	the	the	DET
fis-1486	134	8	biggest	big	ADJ
fis-1486	134	9	is	be	AUX
fis-1486	134	10	the	the	DET
fis-1486	134	11	pad	pad	NOUN
fis-1486	134	12	radius	radius	NOUN
fis-1486	134	13	the	the	DET
fis-1486	134	14	worst	bad	ADJ
fis-1486	134	15	is	be	AUX
fis-1486	134	16	the	the	DET
fis-1486	134	17	effect	effect	NOUN
fis-1486	134	18	in	in	ADP
fis-1486	134	19	term	term	NOUN
fis-1486	134	20	of	of	ADP
fis-1486	134	21	crack	crack	NOUN
fis-1486	134	22	initiation	initiation	NOUN
fis-1486	134	23	threshold	threshold	NOUN
fis-1486	134	24	.	.	PUNCT
fis-1486	135	1	to	to	PART
fis-1486	135	2	interpret	interpret	VERB
fis-1486	135	3	this	this	DET
fis-1486	135	4	tendency	tendency	NOUN
fis-1486	135	5	,	,	PUNCT
fis-1486	135	6	it	it	PRON
fis-1486	135	7	is	be	AUX
fis-1486	135	8	important	important	ADJ
fis-1486	135	9	to	to	PART
fis-1486	135	10	notice	notice	VERB
fis-1486	135	11	that	that	SCONJ
fis-1486	135	12	two	two	NUM
fis-1486	135	13	factors	factor	NOUN
fis-1486	135	14	influence	influence	VERB
fis-1486	135	15	crack	crack	VERB
fis-1486	135	16	nucleation	nucleation	NOUN
fis-1486	135	17	;	;	PUNCT
fis-1486	135	18	(	(	PUNCT
fis-1486	135	19	i	i	NOUN
fis-1486	135	20	)	)	PUNCT
fis-1486	135	21	the	the	DET
fis-1486	135	22	maximum	maximum	ADJ
fis-1486	135	23	stress	stress	NOUN
fis-1486	135	24	at	at	ADP
fis-1486	135	25	the	the	DET
fis-1486	135	26	hot	hot	ADJ
fis-1486	135	27	spot	spot	NOUN
fis-1486	135	28	and	and	CCONJ
fis-1486	135	29	(	(	PUNCT
fis-1486	135	30	ii	ii	NOUN
fis-1486	135	31	)	)	PUNCT
fis-1486	135	32	the	the	DET
fis-1486	135	33	material	material	NOUN
fis-1486	135	34	process	process	NOUN
fis-1486	135	35	volume	volume	NOUN
fis-1486	135	36	over	over	ADP
fis-1486	135	37	which	which	PRON
fis-1486	135	38	the	the	DET
fis-1486	135	39	maximum	maximum	ADJ
fis-1486	135	40	stress	stress	NOUN
fis-1486	135	41	operates	operate	VERB
fis-1486	135	42	.	.	PUNCT
fis-1486	136	1	the	the	DET
fis-1486	136	2	increase	increase	NOUN
fis-1486	136	3	in	in	ADP
fis-1486	136	4	pad	pad	NOUN
fis-1486	136	5	dimension	dimension	NOUN
fis-1486	136	6	extends	extend	VERB
fis-1486	136	7	the	the	DET
fis-1486	136	8	influence	influence	NOUN
fis-1486	136	9	of	of	ADP
fis-1486	136	10	contact	contact	NOUN
fis-1486	136	11	stress	stress	NOUN
fis-1486	136	12	below	below	ADP
fis-1486	136	13	the	the	DET
fis-1486	136	14	surface	surface	NOUN
fis-1486	136	15	,	,	PUNCT
fis-1486	136	16	and	and	CCONJ
fis-1486	136	17	therefore	therefore	ADV
fis-1486	136	18	increases	increase	VERB
fis-1486	136	19	the	the	DET
fis-1486	136	20	process	process	NOUN
fis-1486	136	21	volume	volume	NOUN
fis-1486	136	22	.	.	PUNCT
fis-1486	137	1	figure	figure	VERB
fis-1486	137	2	7	7	NUM
fis-1486	137	3	:	:	PUNCT
fis-1486	137	4	crack	crack	VERB
fis-1486	137	5	initiation	initiation	NOUN
fis-1486	137	6	frontier	frontier	NOUN
fis-1486	137	7	for	for	ADP
fis-1486	137	8	35nicrmo16	35nicrmo16	NUM
fis-1486	137	9	low	low	ADJ
fis-1486	137	10	-	-	PUNCT
fis-1486	137	11	alloyed	alloy	VERB
fis-1486	137	12	steel	steel	NOUN
fis-1486	137	13	.	.	PUNCT
fis-1486	138	1	application	application	NOUN
fis-1486	138	2	of	of	ADP
fis-1486	138	3	the	the	DET
fis-1486	138	4	methodology	methodology	NOUN
fis-1486	138	5	.	.	PUNCT
fis-1486	139	1	the	the	DET
fis-1486	139	2	steps	step	NOUN
fis-1486	139	3	followed	follow	VERB
fis-1486	139	4	in	in	ADP
fis-1486	139	5	the	the	DET
fis-1486	139	6	application	application	NOUN
fis-1486	139	7	of	of	ADP
fis-1486	139	8	the	the	DET
fis-1486	139	9	numerical	numerical	ADJ
fis-1486	139	10	algorithm	algorithm	PROPN
fis-1486	139	11	presented	present	VERB
fis-1486	139	12	above	above	ADV
fis-1486	139	13	are	be	AUX
fis-1486	139	14	the	the	DET
fis-1486	139	15	followings	following	NOUN
fis-1486	139	16	(	(	PUNCT
fis-1486	139	17	fig	fig	NOUN
fis-1486	139	18	.	.	PUNCT
fis-1486	140	1	8)	8)	NUM
fis-1486	140	2	:	:	PUNCT
fis-1486	140	3	1	1	NUM
fis-1486	140	4	.	.	PUNCT
fis-1486	141	1	the	the	DET
fis-1486	141	2	experimental	experimental	ADJ
fis-1486	141	3	data	datum	NOUN
fis-1486	141	4	highlight	highlight	VERB
fis-1486	141	5	different	different	ADJ
fis-1486	141	6	crack	crack	NOUN
fis-1486	141	7	initiation	initiation	NOUN
fis-1486	141	8	frontiers	frontier	NOUN
fis-1486	141	9	expressed	express	VERB
fis-1486	141	10	in	in	ADP
fis-1486	141	11	(	(	PUNCT
fis-1486	141	12	qmax	qmax	NOUN
fis-1486	141	13	-	-	PUNCT
fis-1486	141	14	p0	p0	NOUN
fis-1486	141	15	)	)	PUNCT
fis-1486	141	16	coordinates	coordinate	NOUN
fis-1486	141	17	.	.	PUNCT
fis-1486	142	1	for	for	ADP
fis-1486	142	2	each	each	DET
fis-1486	142	3	point	point	NOUN
fis-1486	142	4	belonging	belong	VERB
fis-1486	142	5	to	to	ADP
fis-1486	142	6	these	these	DET
fis-1486	142	7	frontiers	frontier	NOUN
fis-1486	142	8	the	the	DET
fis-1486	142	9	macroscopic	macroscopic	ADJ
fis-1486	142	10	load	load	NOUN
fis-1486	142	11	to	to	PART
fis-1486	142	12	apply	apply	VERB
fis-1486	142	13	in	in	ADP
fis-1486	142	14	the	the	DET
fis-1486	142	15	fe	fe	NOUN
fis-1486	142	16	model	model	NOUN
fis-1486	142	17	are	be	AUX
fis-1486	142	18	computed	compute	VERB
fis-1486	142	19	.	.	PUNCT
fis-1486	143	1	for	for	ADP
fis-1486	143	2	cylinderplain	cylinderplain	NOUN
fis-1486	143	3	contact	contact	NOUN
fis-1486	143	4	configuration	configuration	NOUN
fis-1486	143	5	,	,	PUNCT
fis-1486	143	6	analytical	analytical	ADJ
fis-1486	143	7	expressions	expression	NOUN
fis-1486	143	8	linking	link	VERB
fis-1486	143	9	qmax	qmax	NOUN
fis-1486	143	10	-	-	PUNCT
fis-1486	143	11	p0	p0	NOUN
fis-1486	143	12	to	to	ADP
fis-1486	143	13	p	p	NOUN
fis-1486	143	14	and	and	CCONJ
fis-1486	143	15	q	q	NOUN
fis-1486	143	16	are	be	AUX
fis-1486	143	17	available	available	ADJ
fis-1486	143	18	.	.	PUNCT
fis-1486	144	1	2	2	X
fis-1486	144	2	.	.	X
fis-1486	144	3	a	a	DET
fis-1486	144	4	fe	fe	NOUN
fis-1486	144	5	computation	computation	NOUN
fis-1486	144	6	is	be	AUX
fis-1486	144	7	run	run	VERB
fis-1486	144	8	and	and	CCONJ
fis-1486	144	9	the	the	DET
fis-1486	144	10	velocity	velocity	NOUN
fis-1486	144	11	field	field	NOUN
fis-1486	144	12	is	be	AUX
fis-1486	144	13	computed	compute	VERB
fis-1486	144	14	.	.	PUNCT
fis-1486	145	1	the	the	DET
fis-1486	145	2	forces	force	NOUN
fis-1486	145	3	used	use	VERB
fis-1486	145	4	as	as	ADP
fis-1486	145	5	input	input	NOUN
fis-1486	145	6	to	to	PART
fis-1486	145	7	load	load	VERB
fis-1486	145	8	the	the	DET
fis-1486	145	9	structure	structure	NOUN
fis-1486	145	10	are	be	AUX
fis-1486	145	11	the	the	DET
fis-1486	145	12	ones	one	NOUN
fis-1486	145	13	found	find	VERB
fis-1486	145	14	in	in	ADP
fis-1486	145	15	the	the	DET
fis-1486	145	16	previous	previous	ADJ
fis-1486	145	17	step	step	NOUN
fis-1486	145	18	.	.	PUNCT
fis-1486	146	1	3	3	X
fis-1486	146	2	.	.	X
fis-1486	146	3	the	the	DET
fis-1486	146	4	velocity	velocity	NOUN
fis-1486	146	5	field	field	NOUN
fis-1486	146	6	is	be	AUX
fis-1486	146	7	partitioned	partition	VERB
fis-1486	146	8	as	as	SCONJ
fis-1486	146	9	presented	present	VERB
fis-1486	146	10	in	in	ADP
fis-1486	146	11	eq	eq	ADP
fis-1486	146	12	.	.	PUNCT
fis-1486	147	1	(	(	PUNCT
fis-1486	147	2	1	1	NUM
fis-1486	147	3	)	)	PUNCT
fis-1486	147	4	.	.	PUNCT
fis-1486	148	1	4	4	X
fis-1486	148	2	.	.	X
fis-1486	148	3	the	the	DET
fis-1486	148	4	nonlocal	nonlocal	ADJ
fis-1486	148	5	stress	stress	NOUN
fis-1486	148	6	intensity	intensity	NOUN
fis-1486	148	7	factors	factor	NOUN
fis-1486	148	8	are	be	AUX
fis-1486	148	9	extracted	extract	VERB
fis-1486	148	10	and	and	CCONJ
fis-1486	148	11	a	a	DET
fis-1486	148	12	nonlocal	nonlocal	ADJ
fis-1486	148	13	crack	crack	NOUN
fis-1486	148	14	initiation	initiation	NOUN
fis-1486	148	15	map	map	NOUN
fis-1486	148	16	is	be	AUX
fis-1486	148	17	defined	define	VERB
fis-1486	148	18	.	.	PUNCT
fis-1486	149	1	before	before	SCONJ
fis-1486	149	2	to	to	PART
fis-1486	149	3	comment	comment	VERB
fis-1486	149	4	the	the	DET
fis-1486	149	5	results	result	NOUN
fis-1486	149	6	shown	show	VERB
fis-1486	149	7	in	in	ADP
fis-1486	149	8	fig	fig	NOUN
fis-1486	149	9	.	.	PUNCT
fis-1486	150	1	8	8	NUM
fis-1486	150	2	,	,	PUNCT
fis-1486	150	3	it	it	PRON
fis-1486	150	4	is	be	AUX
fis-1486	150	5	worth	worth	ADJ
fis-1486	150	6	noting	note	VERB
fis-1486	150	7	that	that	SCONJ
fis-1486	150	8	only	only	ADV
fis-1486	150	9	the	the	DET
fis-1486	150	10	elastic	elastic	ADJ
fis-1486	150	11	nonlocal	nonlocal	ADJ
fis-1486	150	12	stress	stress	NOUN
fis-1486	150	13	intensity	intensity	NOUN
fis-1486	150	14	factors	factor	NOUN
fis-1486	150	15	(	(	PUNCT
fis-1486	150	16	iais	iais	PROPN
fis-1486	150	17	)	)	PUNCT
fis-1486	150	18	are	be	AUX
fis-1486	150	19	used	use	VERB
fis-1486	150	20	in	in	ADP
fis-1486	150	21	the	the	DET
fis-1486	150	22	description	description	NOUN
fis-1486	150	23	of	of	ADP
fis-1486	150	24	the	the	DET
fis-1486	150	25	crack	crack	NOUN
fis-1486	150	26	initiation	initiation	NOUN
fis-1486	150	27	frontiers	frontier	NOUN
fis-1486	150	28	for	for	ADP
fis-1486	150	29	two	two	NUM
fis-1486	150	30	reasons	reason	NOUN
fis-1486	150	31	.	.	PUNCT
fis-1486	151	1	the	the	DET
fis-1486	151	2	third	third	ADJ
fis-1486	151	3	term	term	NOUN
fis-1486	151	4	,	,	PUNCT
fis-1486	151	5	ic	ic	PROPN
fis-1486	151	6	,	,	PUNCT
fis-1486	151	7	describe	describe	VERB
fis-1486	151	8	the	the	DET
fis-1486	151	9	nonlinear	nonlinear	ADJ
fis-1486	151	10	effect	effect	NOUN
fis-1486	151	11	of	of	ADP
fis-1486	151	12	friction	friction	NOUN
fis-1486	151	13	,	,	PUNCT
fis-1486	151	14	which	which	PRON
fis-1486	151	15	is	be	AUX
fis-1486	151	16	extremely	extremely	ADV
fis-1486	151	17	localized	localize	VERB
fis-1486	151	18	as	as	SCONJ
fis-1486	151	19	confirmed	confirm	VERB
fis-1486	151	20	by	by	ADP
fis-1486	151	21	fig	fig	NOUN
fis-1486	151	22	.	.	PUNCT
fis-1486	152	1	4	4	NUM
fis-1486	152	2	.	.	X
fis-1486	153	1	as	as	ADP
fis-1486	153	2	a	a	DET
fis-1486	153	3	consequence	consequence	NOUN
fis-1486	153	4	the	the	DET
fis-1486	153	5	elastic	elastic	ADJ
fis-1486	153	6	nonlocal	nonlocal	ADJ
fis-1486	153	7	intensity	intensity	NOUN
fis-1486	153	8	c.	c.	PROPN
fis-1486	153	9	montebello	montebello	PROPN
fis-1486	153	10	et	et	PROPN
fis-1486	153	11	alii	alii	PROPN
fis-1486	153	12	,	,	PUNCT
fis-1486	153	13	frattura	frattura	PROPN
fis-1486	153	14	ed	ed	PROPN
fis-1486	153	15	integrità	integrità	PROPN
fis-1486	153	16	strutturale	strutturale	PROPN
fis-1486	153	17	,	,	PUNCT
fis-1486	153	18	33	33	NUM
fis-1486	153	19	(	(	PUNCT
fis-1486	153	20	2015	2015	NUM
fis-1486	153	21	)	)	PUNCT
fis-1486	153	22	159	159	NUM
fis-1486	153	23	-	-	SYM
fis-1486	153	24	166	166	NUM
fis-1486	153	25	;	;	PUNCT
fis-1486	153	26	doi	doi	NOUN
fis-1486	153	27	:	:	PUNCT
fis-1486	153	28	10.3221	10.3221	NUM
fis-1486	153	29	/	/	SYM
fis-1486	153	30	igf	igf	PROPN
fis-1486	153	31	-	-	ADJ
fis-1486	153	32	esis.33.20	esis.33.20	ADJ
fis-1486	153	33	165	165	NUM
fis-1486	153	34	factors	factor	NOUN
fis-1486	153	35	,	,	PUNCT
fis-1486	153	36	is	be	AUX
fis-1486	153	37	and	and	CCONJ
fis-1486	153	38	ia	ia	PROPN
fis-1486	153	39	,	,	PUNCT
fis-1486	153	40	are	be	AUX
fis-1486	153	41	sufficient	sufficient	ADJ
fis-1486	153	42	to	to	PART
fis-1486	153	43	univocally	univocally	ADV
fis-1486	153	44	characterize	characterize	VERB
fis-1486	153	45	the	the	DET
fis-1486	153	46	contact	contact	NOUN
fis-1486	153	47	edge	edge	NOUN
fis-1486	153	48	stress	stress	NOUN
fis-1486	153	49	condition	condition	NOUN
fis-1486	153	50	.	.	PUNCT
fis-1486	154	1	this	this	DET
fis-1486	154	2	approach	approach	NOUN
fis-1486	154	3	is	be	AUX
fis-1486	154	4	analogue	analogue	NOUN
fis-1486	154	5	to	to	ADP
fis-1486	154	6	the	the	DET
fis-1486	154	7	one	one	NOUN
fis-1486	154	8	followed	follow	VERB
fis-1486	154	9	in	in	ADP
fis-1486	154	10	fracture	fracture	NOUN
fis-1486	154	11	mechanics	mechanic	NOUN
fis-1486	154	12	where	where	SCONJ
fis-1486	154	13	the	the	DET
fis-1486	154	14	hypothesis	hypothesis	NOUN
fis-1486	154	15	of	of	ADP
fis-1486	154	16	small	small	ADJ
fis-1486	154	17	scale	scale	NOUN
fis-1486	154	18	yielding	yield	VERB
fis-1486	154	19	permits	permit	NOUN
fis-1486	154	20	to	to	PART
fis-1486	154	21	use	use	VERB
fis-1486	154	22	an	an	DET
fis-1486	154	23	elastic	elastic	ADJ
fis-1486	154	24	stress	stress	NOUN
fis-1486	154	25	intensity	intensity	NOUN
fis-1486	154	26	factor	factor	NOUN
fis-1486	154	27	,	,	PUNCT
fis-1486	154	28	k	k	PROPN
fis-1486	154	29	,	,	PUNCT
fis-1486	154	30	to	to	PART
fis-1486	154	31	describe	describe	VERB
fis-1486	154	32	the	the	DET
fis-1486	154	33	mechanical	mechanical	ADJ
fis-1486	154	34	field	field	NOUN
fis-1486	154	35	close	close	ADJ
fis-1486	154	36	to	to	ADP
fis-1486	154	37	the	the	DET
fis-1486	154	38	crack	crack	NOUN
fis-1486	154	39	tip	tip	NOUN
fis-1486	154	40	.	.	PUNCT
fis-1486	155	1	on	on	ADP
fis-1486	155	2	the	the	DET
fis-1486	155	3	other	other	ADJ
fis-1486	155	4	hand	hand	NOUN
fis-1486	155	5	,	,	PUNCT
fis-1486	155	6	all	all	DET
fis-1486	155	7	the	the	DET
fis-1486	155	8	test	test	NOUN
fis-1486	155	9	data	datum	NOUN
fis-1486	155	10	are	be	AUX
fis-1486	155	11	obtained	obtain	VERB
fis-1486	155	12	assuring	assure	VERB
fis-1486	155	13	that	that	SCONJ
fis-1486	155	14	the	the	DET
fis-1486	155	15	contact	contact	NOUN
fis-1486	155	16	is	be	AUX
fis-1486	155	17	in	in	ADP
fis-1486	155	18	a	a	DET
fis-1486	155	19	partial	partial	ADJ
fis-1486	155	20	slip	slip	NOUN
fis-1486	155	21	regime	regime	NOUN
fis-1486	155	22	.	.	PUNCT
fis-1486	156	1	as	as	SCONJ
fis-1486	156	2	explained	explain	VERB
fis-1486	156	3	by	by	ADP
fis-1486	156	4	vinsdbo	vinsdbo	NOUN
fis-1486	156	5	and	and	CCONJ
fis-1486	156	6	sodemberg	sodemberg	NOUN
fis-1486	156	7	in	in	ADP
fis-1486	156	8	[	[	PUNCT
fis-1486	156	9	11	11	NUM
fis-1486	156	10	]	]	PUNCT
fis-1486	156	11	,	,	PUNCT
fis-1486	156	12	in	in	ADP
fis-1486	156	13	this	this	DET
fis-1486	156	14	condition	condition	NOUN
fis-1486	156	15	the	the	DET
fis-1486	156	16	wear	wear	NOUN
fis-1486	156	17	rate	rate	NOUN
fis-1486	156	18	due	due	ADP
fis-1486	156	19	to	to	ADP
fis-1486	156	20	friction	friction	NOUN
fis-1486	156	21	is	be	AUX
fis-1486	156	22	negligible	negligible	ADJ
fis-1486	156	23	.	.	PUNCT
fis-1486	157	1	the	the	DET
fis-1486	157	2	outcome	outcome	NOUN
fis-1486	157	3	of	of	ADP
fis-1486	157	4	the	the	DET
fis-1486	157	5	application	application	NOUN
fis-1486	157	6	of	of	ADP
fis-1486	157	7	the	the	DET
fis-1486	157	8	numerical	numerical	ADJ
fis-1486	157	9	algorithm	algorithm	NOUN
fis-1486	157	10	to	to	PART
fis-1486	157	11	extract	extract	VERB
fis-1486	157	12	nonlocal	nonlocal	ADJ
fis-1486	157	13	intensity	intensity	NOUN
fis-1486	157	14	factors	factor	NOUN
fis-1486	157	15	(	(	PUNCT
fis-1486	157	16	fig	fig	NOUN
fis-1486	157	17	.	.	PUNCT
fis-1486	158	1	8)	8)	NUM
fis-1486	158	2	,	,	PUNCT
fis-1486	158	3	shows	show	VERB
fis-1486	158	4	clearly	clearly	ADV
fis-1486	158	5	how	how	SCONJ
fis-1486	158	6	these	these	DET
fis-1486	158	7	quantities	quantity	NOUN
fis-1486	158	8	are	be	AUX
fis-1486	158	9	objective	objective	ADJ
fis-1486	158	10	quantities	quantity	NOUN
fis-1486	158	11	through	through	ADP
fis-1486	158	12	which	which	PRON
fis-1486	158	13	is	be	AUX
fis-1486	158	14	possible	possible	ADJ
fis-1486	158	15	to	to	PART
fis-1486	158	16	take	take	VERB
fis-1486	158	17	into	into	ADP
fis-1486	158	18	account	account	NOUN
fis-1486	158	19	the	the	DET
fis-1486	158	20	gradient	gradient	ADJ
fis-1486	158	21	effect	effect	NOUN
fis-1486	158	22	efficiently	efficiently	ADV
fis-1486	158	23	.	.	PUNCT
fis-1486	159	1	the	the	DET
fis-1486	159	2	different	different	ADJ
fis-1486	159	3	crack	crack	NOUN
fis-1486	159	4	initiation	initiation	NOUN
fis-1486	159	5	frontiers	frontier	NOUN
fis-1486	159	6	displayed	display	VERB
fis-1486	159	7	in	in	ADP
fis-1486	159	8	a	a	DET
fis-1486	159	9	classical	classical	ADJ
fis-1486	159	10	qmax	qmax	NOUN
fis-1486	159	11	-	-	PUNCT
fis-1486	159	12	p0	p0	NOUN
fis-1486	159	13	crack	crack	NOUN
fis-1486	159	14	initiation	initiation	NOUN
fis-1486	159	15	map	map	NOUN
fis-1486	159	16	,	,	PUNCT
fis-1486	159	17	merge	merge	VERB
fis-1486	159	18	into	into	ADP
fis-1486	159	19	a	a	DET
fis-1486	159	20	single	single	ADJ
fis-1486	159	21	one	one	NOUN
fis-1486	159	22	if	if	SCONJ
fis-1486	159	23	the	the	DET
fis-1486	159	24	nonlocal	nonlocal	ADJ
fis-1486	159	25	intensity	intensity	NOUN
fis-1486	159	26	factors	factor	NOUN
fis-1486	159	27	are	be	AUX
fis-1486	159	28	used	use	VERB
fis-1486	159	29	.	.	PUNCT
fis-1486	160	1	figure	figure	VERB
fis-1486	160	2	8	8	NUM
fis-1486	160	3	:	:	PUNCT
fis-1486	160	4	different	different	ADJ
fis-1486	160	5	steps	step	NOUN
fis-1486	160	6	in	in	ADP
fis-1486	160	7	the	the	DET
fis-1486	160	8	application	application	NOUN
fis-1486	160	9	of	of	ADP
fis-1486	160	10	the	the	DET
fis-1486	160	11	numerical	numerical	ADJ
fis-1486	160	12	algorithm	algorithm	NOUN
fis-1486	160	13	.	.	PUNCT
fis-1486	161	1	conclusions	conclusion	NOUN
fis-1486	161	2	and	and	CCONJ
fis-1486	161	3	prospects	prospect	NOUN
fis-1486	162	1	n	n	PRON
fis-1486	162	2	order	order	NOUN
fis-1486	162	3	to	to	PART
fis-1486	162	4	apply	apply	VERB
fis-1486	162	5	the	the	DET
fis-1486	162	6	methodology	methodology	NOUN
fis-1486	162	7	described	describe	VERB
fis-1486	162	8	above	above	ADV
fis-1486	162	9	,	,	PUNCT
fis-1486	162	10	it	it	PRON
fis-1486	162	11	is	be	AUX
fis-1486	162	12	useful	useful	ADJ
fis-1486	162	13	to	to	PART
fis-1486	162	14	remember	remember	VERB
fis-1486	162	15	the	the	DET
fis-1486	162	16	main	main	ADJ
fis-1486	162	17	challenges	challenge	NOUN
fis-1486	162	18	that	that	PRON
fis-1486	162	19	the	the	DET
fis-1486	162	20	industrial	industrial	ADJ
fis-1486	162	21	sector	sector	NOUN
fis-1486	162	22	has	have	VERB
fis-1486	162	23	to	to	PART
fis-1486	162	24	handle	handle	VERB
fis-1486	162	25	when	when	SCONJ
fis-1486	162	26	the	the	DET
fis-1486	162	27	structures	structure	NOUN
fis-1486	162	28	are	be	AUX
fis-1486	162	29	interested	interested	ADJ
fis-1486	162	30	by	by	ADP
fis-1486	162	31	fretting	fret	VERB
fis-1486	162	32	fatigue	fatigue	NOUN
fis-1486	162	33	problems	problem	NOUN
fis-1486	162	34	.	.	PUNCT
fis-1486	163	1	the	the	DET
fis-1486	163	2	first	first	ADJ
fis-1486	163	3	main	main	ADJ
fis-1486	163	4	problem	problem	NOUN
fis-1486	163	5	is	be	AUX
fis-1486	163	6	related	relate	VERB
fis-1486	163	7	to	to	ADP
fis-1486	163	8	the	the	DET
fis-1486	163	9	fact	fact	NOUN
fis-1486	163	10	that	that	SCONJ
fis-1486	163	11	fretting	fret	VERB
fis-1486	163	12	-	-	PUNCT
fis-1486	163	13	fatigue	fatigue	NOUN
fis-1486	163	14	introduces	introduce	VERB
fis-1486	163	15	a	a	DET
fis-1486	163	16	severe	severe	ADJ
fis-1486	163	17	stress	stress	NOUN
fis-1486	163	18	gradient	gradient	NOUN
fis-1486	163	19	at	at	ADP
fis-1486	163	20	the	the	DET
fis-1486	163	21	contact	contact	NOUN
fis-1486	163	22	interface	interface	NOUN
fis-1486	163	23	that	that	PRON
fis-1486	163	24	depends	depend	VERB
fis-1486	163	25	on	on	ADP
fis-1486	163	26	the	the	DET
fis-1486	163	27	local	local	ADJ
fis-1486	163	28	geometry	geometry	NOUN
fis-1486	163	29	of	of	ADP
fis-1486	163	30	the	the	DET
fis-1486	163	31	part	part	NOUN
fis-1486	163	32	.	.	PUNCT
fis-1486	164	1	the	the	DET
fis-1486	164	2	fatigue	fatigue	NOUN
fis-1486	164	3	life	life	NOUN
fis-1486	164	4	of	of	ADP
fis-1486	164	5	the	the	DET
fis-1486	164	6	part	part	NOUN
fis-1486	164	7	depends	depend	VERB
fis-1486	164	8	on	on	ADP
fis-1486	164	9	the	the	DET
fis-1486	164	10	stress	stress	NOUN
fis-1486	164	11	gradient	gradient	NOUN
fis-1486	164	12	,	,	PUNCT
fis-1486	164	13	which	which	PRON
fis-1486	164	14	in	in	ADP
fis-1486	164	15	turn	turn	NOUN
fis-1486	164	16	depends	depend	VERB
fis-1486	164	17	on	on	ADP
fis-1486	164	18	the	the	DET
fis-1486	164	19	local	local	ADJ
fis-1486	164	20	geometry	geometry	NOUN
fis-1486	164	21	.	.	PUNCT
fis-1486	165	1	as	as	ADP
fis-1486	165	2	a	a	DET
fis-1486	165	3	consequence	consequence	NOUN
fis-1486	165	4	,	,	PUNCT
fis-1486	165	5	if	if	SCONJ
fis-1486	165	6	the	the	DET
fis-1486	165	7	example	example	NOUN
fis-1486	165	8	of	of	ADP
fis-1486	165	9	an	an	DET
fis-1486	165	10	aircraft	aircraft	NOUN
fis-1486	165	11	engine	engine	NOUN
fis-1486	165	12	is	be	AUX
fis-1486	165	13	considered	consider	VERB
fis-1486	165	14	,	,	PUNCT
fis-1486	165	15	the	the	DET
fis-1486	165	16	manufacturer	manufacturer	NOUN
fis-1486	165	17	has	have	VERB
fis-1486	165	18	to	to	PART
fis-1486	165	19	certify	certify	VERB
fis-1486	165	20	experimentally	experimentally	ADV
fis-1486	165	21	several	several	ADJ
fis-1486	165	22	parts	part	NOUN
fis-1486	165	23	to	to	PART
fis-1486	165	24	show	show	VERB
fis-1486	165	25	that	that	SCONJ
fis-1486	165	26	no	no	DET
fis-1486	165	27	catastrophic	catastrophic	ADJ
fis-1486	165	28	failures	failure	NOUN
fis-1486	165	29	occur	occur	VERB
fis-1486	165	30	.	.	PUNCT
fis-1486	166	1	the	the	DET
fis-1486	166	2	limitation	limitation	NOUN
fis-1486	166	3	here	here	ADV
fis-1486	166	4	is	be	AUX
fis-1486	166	5	that	that	SCONJ
fis-1486	166	6	the	the	DET
fis-1486	166	7	certification	certification	NOUN
fis-1486	166	8	performed	perform	VERB
fis-1486	166	9	for	for	ADP
fis-1486	166	10	a	a	DET
fis-1486	166	11	given	give	VERB
fis-1486	166	12	part	part	NOUN
fis-1486	166	13	can	can	AUX
fis-1486	166	14	not	not	PART
fis-1486	166	15	be	be	AUX
fis-1486	166	16	used	use	VERB
fis-1486	166	17	for	for	ADP
fis-1486	166	18	another	another	DET
fis-1486	166	19	part	part	NOUN
fis-1486	166	20	sharing	share	VERB
fis-1486	166	21	the	the	DET
fis-1486	166	22	same	same	ADJ
fis-1486	166	23	properties	property	NOUN
fis-1486	166	24	except	except	SCONJ
fis-1486	166	25	for	for	ADP
fis-1486	166	26	the	the	DET
fis-1486	166	27	geometry	geometry	NOUN
fis-1486	166	28	.	.	PUNCT
fis-1486	167	1	this	this	PRON
fis-1486	167	2	is	be	AUX
fis-1486	167	3	a	a	DET
fis-1486	167	4	big	big	ADJ
fis-1486	167	5	limitation	limitation	NOUN
fis-1486	167	6	because	because	SCONJ
fis-1486	167	7	it	it	PRON
fis-1486	167	8	forces	force	VERB
fis-1486	167	9	the	the	DET
fis-1486	167	10	manufacturer	manufacturer	NOUN
fis-1486	167	11	to	to	PART
fis-1486	167	12	multiply	multiply	VERB
fis-1486	167	13	the	the	DET
fis-1486	167	14	experimental	experimental	ADJ
fis-1486	167	15	tests	test	NOUN
fis-1486	167	16	to	to	PART
fis-1486	167	17	certify	certify	VERB
fis-1486	167	18	all	all	DET
fis-1486	167	19	the	the	DET
fis-1486	167	20	different	different	ADJ
fis-1486	167	21	components	component	NOUN
fis-1486	167	22	.	.	PUNCT
fis-1486	168	1	with	with	ADP
fis-1486	168	2	the	the	DET
fis-1486	168	3	methodology	methodology	NOUN
fis-1486	168	4	introduced	introduce	VERB
fis-1486	168	5	here	here	ADV
fis-1486	168	6	,	,	PUNCT
fis-1486	168	7	we	we	PRON
fis-1486	168	8	propose	propose	VERB
fis-1486	168	9	a	a	DET
fis-1486	168	10	possible	possible	ADJ
fis-1486	168	11	solution	solution	NOUN
fis-1486	168	12	to	to	ADP
fis-1486	168	13	this	this	DET
fis-1486	168	14	problem	problem	NOUN
fis-1486	168	15	.	.	PUNCT
fis-1486	169	1	if	if	SCONJ
fis-1486	169	2	the	the	DET
fis-1486	169	3	nonlocal	nonlocal	ADJ
fis-1486	169	4	stress	stress	NOUN
fis-1486	169	5	intensity	intensity	NOUN
fis-1486	169	6	factors	factor	NOUN
fis-1486	169	7	are	be	AUX
fis-1486	169	8	used	use	VERB
fis-1486	169	9	to	to	PART
fis-1486	169	10	describe	describe	VERB
fis-1486	169	11	the	the	DET
fis-1486	169	12	mechanical	mechanical	ADJ
fis-1486	169	13	field	field	NOUN
fis-1486	169	14	arising	arise	VERB
fis-1486	169	15	close	close	ADV
fis-1486	169	16	to	to	ADP
fis-1486	169	17	the	the	DET
fis-1486	169	18	contact	contact	NOUN
fis-1486	169	19	edges	edge	NOUN
fis-1486	169	20	,	,	PUNCT
fis-1486	169	21	the	the	DET
fis-1486	169	22	gradient	gradient	ADJ
fis-1486	169	23	effect	effect	NOUN
fis-1486	169	24	is	be	AUX
fis-1486	169	25	taken	take	VERB
fis-1486	169	26	into	into	ADP
fis-1486	169	27	account	account	NOUN
fis-1486	169	28	and	and	CCONJ
fis-1486	169	29	the	the	DET
fis-1486	169	30	change	change	NOUN
fis-1486	169	31	in	in	ADP
fis-1486	169	32	geometry	geometry	NOUN
fis-1486	169	33	is	be	AUX
fis-1486	169	34	no	no	PRON
fis-1486	169	35	more	more	ADJ
fis-1486	169	36	a	a	DET
fis-1486	169	37	problem	problem	NOUN
fis-1486	169	38	.	.	PUNCT
fis-1486	170	1	a	a	DET
fis-1486	170	2	second	second	ADJ
fis-1486	170	3	important	important	ADJ
fis-1486	170	4	complication	complication	NOUN
fis-1486	170	5	is	be	AUX
fis-1486	170	6	due	due	ADJ
fis-1486	170	7	to	to	ADP
fis-1486	170	8	the	the	DET
fis-1486	170	9	fact	fact	NOUN
fis-1486	170	10	that	that	SCONJ
fis-1486	170	11	the	the	DET
fis-1486	170	12	few	few	ADJ
fis-1486	170	13	multi	multi	ADJ
fis-1486	170	14	-	-	ADJ
fis-1486	170	15	axial	axial	ADJ
fis-1486	170	16	fatigue	fatigue	NOUN
fis-1486	170	17	criteria	criterion	NOUN
fis-1486	170	18	suited	suit	VERB
fis-1486	170	19	to	to	PART
fis-1486	170	20	be	be	AUX
fis-1486	170	21	used	use	VERB
fis-1486	170	22	for	for	ADP
fis-1486	170	23	fretting	fret	VERB
fis-1486	170	24	fatigue	fatigue	NOUN
fis-1486	170	25	[	[	X
fis-1486	170	26	14	14	NUM
fis-1486	170	27	]	]	PUNCT
fis-1486	170	28	,	,	PUNCT
fis-1486	170	29	need	need	VERB
fis-1486	170	30	a	a	DET
fis-1486	170	31	really	really	ADV
fis-1486	170	32	precise	precise	ADJ
fis-1486	170	33	description	description	NOUN
fis-1486	170	34	of	of	ADP
fis-1486	170	35	the	the	DET
fis-1486	170	36	stress	stress	NOUN
fis-1486	170	37	gradient	gradient	NOUN
fis-1486	170	38	evolution	evolution	NOUN
fis-1486	170	39	.	.	PUNCT
fis-1486	171	1	the	the	DET
fis-1486	171	2	only	only	ADJ
fis-1486	171	3	way	way	NOUN
fis-1486	171	4	to	to	PART
fis-1486	171	5	obtain	obtain	VERB
fis-1486	171	6	it	it	PRON
fis-1486	171	7	is	be	AUX
fis-1486	171	8	by	by	ADP
fis-1486	171	9	using	use	VERB
fis-1486	171	10	fe	fe	ADJ
fis-1486	171	11	computations	computation	NOUN
fis-1486	171	12	characterized	characterize	VERB
fis-1486	171	13	by	by	ADP
fis-1486	171	14	extremely	extremely	ADV
fis-1486	171	15	fine	fine	ADJ
fis-1486	171	16	meshes	mesh	NOUN
fis-1486	171	17	.	.	PUNCT
fis-1486	172	1	this	this	DET
fis-1486	172	2	requirement	requirement	NOUN
fis-1486	172	3	is	be	AUX
fis-1486	172	4	not	not	PART
fis-1486	172	5	compatible	compatible	ADJ
fis-1486	172	6	with	with	ADP
fis-1486	172	7	industrial	industrial	ADJ
fis-1486	172	8	constraints	constraint	NOUN
fis-1486	172	9	.	.	PUNCT
fis-1486	173	1	the	the	DET
fis-1486	173	2	methodology	methodology	NOUN
fis-1486	173	3	presented	present	VERB
fis-1486	173	4	here	here	ADV
fis-1486	173	5	is	be	AUX
fis-1486	173	6	well	well	ADV
fis-1486	173	7	-	-	PUNCT
fis-1486	173	8	suited	suit	VERB
fis-1486	173	9	for	for	ADP
fis-1486	173	10	a	a	DET
fis-1486	173	11	multi	multi	ADJ
fis-1486	173	12	-	-	ADJ
fis-1486	173	13	scale	scale	ADJ
fis-1486	173	14	approach	approach	NOUN
fis-1486	173	15	.	.	PUNCT
fis-1486	174	1	the	the	DET
fis-1486	174	2	nonlocal	nonlocal	ADJ
fis-1486	174	3	stress	stress	NOUN
fis-1486	174	4	intensity	intensity	NOUN
fis-1486	174	5	factors	factor	NOUN
fis-1486	174	6	can	can	AUX
fis-1486	174	7	be	be	AUX
fis-1486	174	8	extracted	extract	VERB
fis-1486	174	9	from	from	ADP
fis-1486	174	10	rough	rough	ADJ
fis-1486	174	11	meshes	mesh	NOUN
fis-1486	174	12	.	.	PUNCT
fis-1486	175	1	in	in	ADP
fis-1486	175	2	addition	addition	NOUN
fis-1486	175	3	,	,	PUNCT
fis-1486	175	4	since	since	SCONJ
fis-1486	175	5	the	the	DET
fis-1486	175	6	procedure	procedure	NOUN
fis-1486	175	7	is	be	AUX
fis-1486	175	8	not	not	PART
fis-1486	175	9	intrusive	intrusive	ADJ
fis-1486	175	10	,	,	PUNCT
fis-1486	175	11	it	it	PRON
fis-1486	175	12	can	can	AUX
fis-1486	175	13	be	be	AUX
fis-1486	175	14	easily	easily	ADV
fis-1486	175	15	implemented	implement	VERB
fis-1486	175	16	in	in	ADP
fis-1486	175	17	industrial	industrial	ADJ
fis-1486	175	18	procedures	procedure	NOUN
fis-1486	175	19	.	.	PUNCT
fis-1486	176	1	i	i	PRON
fis-1486	176	2	c.	c.	PROPN
fis-1486	176	3	montebello	montebello	PROPN
fis-1486	176	4	et	et	PROPN
fis-1486	176	5	alii	alii	PROPN
fis-1486	176	6	,	,	PUNCT
fis-1486	176	7	frattura	frattura	PROPN
fis-1486	176	8	ed	ed	PROPN
fis-1486	176	9	integrità	integrità	PROPN
fis-1486	176	10	strutturale	strutturale	PROPN
fis-1486	176	11	,	,	PUNCT
fis-1486	176	12	33	33	NUM
fis-1486	176	13	(	(	PUNCT
fis-1486	176	14	2015	2015	NUM
fis-1486	176	15	)	)	PUNCT
fis-1486	176	16	159	159	NUM
fis-1486	176	17	-	-	SYM
fis-1486	176	18	166	166	NUM
fis-1486	176	19	;	;	PUNCT
fis-1486	176	20	doi	doi	NOUN
fis-1486	176	21	:	:	PUNCT
fis-1486	176	22	10.3221	10.3221	NUM
fis-1486	176	23	/	/	SYM
fis-1486	176	24	igf	igf	PROPN
fis-1486	176	25	-	-	ADJ
fis-1486	176	26	esis.33.20	esis.33.20	PROPN
fis-1486	176	27	166	166	NUM
fis-1486	176	28	the	the	DET
fis-1486	176	29	future	future	ADJ
fis-1486	176	30	works	work	NOUN
fis-1486	176	31	will	will	AUX
fis-1486	176	32	focus	focus	VERB
fis-1486	176	33	on	on	ADP
fis-1486	176	34	the	the	DET
fis-1486	176	35	development	development	NOUN
fis-1486	176	36	of	of	ADP
fis-1486	176	37	a	a	DET
fis-1486	176	38	fatigue	fatigue	NOUN
fis-1486	176	39	criterion	criterion	NOUN
fis-1486	176	40	that	that	PRON
fis-1486	176	41	take	take	VERB
fis-1486	176	42	as	as	SCONJ
fis-1486	176	43	input	input	NOUN
fis-1486	176	44	the	the	DET
fis-1486	176	45	nonlocal	nonlocal	ADJ
fis-1486	176	46	stress	stress	NOUN
fis-1486	176	47	intensity	intensity	NOUN
fis-1486	176	48	factors	factor	NOUN
fis-1486	176	49	extracted	extract	VERB
fis-1486	176	50	from	from	ADP
fis-1486	176	51	the	the	DET
fis-1486	176	52	post	post	NOUN
fis-1486	176	53	-	-	NOUN
fis-1486	176	54	treatment	treatment	NOUN
fis-1486	176	55	of	of	ADP
fis-1486	176	56	the	the	DET
fis-1486	176	57	velocity	velocity	NOUN
fis-1486	176	58	field	field	NOUN
fis-1486	176	59	.	.	PUNCT
fis-1486	177	1	in	in	ADP
fis-1486	177	2	this	this	DET
fis-1486	177	3	way	way	NOUN
fis-1486	177	4	it	it	PRON
fis-1486	177	5	should	should	AUX
fis-1486	177	6	be	be	AUX
fis-1486	177	7	possible	possible	ADJ
fis-1486	177	8	to	to	PART
fis-1486	177	9	place	place	VERB
fis-1486	177	10	the	the	DET
fis-1486	177	11	position	position	NOUN
fis-1486	177	12	of	of	ADP
fis-1486	177	13	the	the	DET
fis-1486	177	14	crack	crack	NOUN
fis-1486	177	15	initiation	initiation	NOUN
fis-1486	177	16	frontier	frontier	NOUN
fis-1486	177	17	easily	easily	ADV
fis-1486	177	18	.	.	PUNCT
fis-1486	178	1	the	the	DET
fis-1486	178	2	second	second	ADJ
fis-1486	178	3	main	main	ADJ
fis-1486	178	4	objective	objective	NOUN
fis-1486	178	5	is	be	AUX
fis-1486	178	6	to	to	PART
fis-1486	178	7	apply	apply	VERB
fis-1486	178	8	the	the	DET
fis-1486	178	9	procedure	procedure	NOUN
fis-1486	178	10	to	to	ADP
fis-1486	178	11	an	an	DET
fis-1486	178	12	industrial	industrial	ADJ
fis-1486	178	13	part	part	NOUN
fis-1486	178	14	.	.	PUNCT
fis-1486	179	1	in	in	ADP
fis-1486	179	2	particular	particular	ADJ
fis-1486	179	3	the	the	DET
fis-1486	179	4	disc	disc	NOUN
fis-1486	179	5	-	-	PUNCT
fis-1486	179	6	blade	blade	NOUN
fis-1486	179	7	root	root	NOUN
fis-1486	179	8	attachment	attachment	NOUN
fis-1486	179	9	will	will	AUX
fis-1486	179	10	be	be	AUX
fis-1486	179	11	analyzed	analyze	VERB
fis-1486	179	12	.	.	PUNCT
fis-1486	180	1	the	the	DET
fis-1486	180	2	authors	author	NOUN
fis-1486	180	3	acknowledge	acknowledge	VERB
fis-1486	180	4	snecma	snecma	PROPN
fis-1486	180	5	(	(	PUNCT
fis-1486	180	6	safran	safran	NOUN
fis-1486	180	7	group	group	NOUN
fis-1486	180	8	)	)	PUNCT
fis-1486	180	9	for	for	ADP
fis-1486	180	10	its	its	PRON
fis-1486	180	11	financial	financial	ADJ
fis-1486	180	12	support	support	NOUN
fis-1486	180	13	,	,	PUNCT
fis-1486	180	14	within	within	ADP
fis-1486	180	15	the	the	DET
fis-1486	180	16	irg	irg	PROPN
fis-1486	180	17	cognac	cognac	PROPN
fis-1486	180	18	project	project	NOUN
fis-1486	180	19	framework	framework	NOUN
fis-1486	180	20	.	.	PUNCT
fis-1486	181	1	references	reference	NOUN
fis-1486	181	2	[	[	X
fis-1486	181	3	1	1	NUM
fis-1486	181	4	]	]	PUNCT
fis-1486	181	5	araújo	araújo	PROPN
fis-1486	181	6	,	,	PUNCT
fis-1486	181	7	j.	j.	PROPN
fis-1486	181	8	,	,	PUNCT
fis-1486	181	9	susmel	susmel	PROPN
fis-1486	181	10	,	,	PUNCT
fis-1486	181	11	l.	l.	PROPN
fis-1486	181	12	,	,	PUNCT
fis-1486	181	13	taylor	taylor	PROPN
fis-1486	181	14	,	,	PUNCT
fis-1486	181	15	d.	d.	PROPN
fis-1486	181	16	,	,	PUNCT
fis-1486	181	17	ferro	ferro	PROPN
fis-1486	181	18	,	,	PUNCT
fis-1486	181	19	j.	j.	PROPN
fis-1486	181	20	,	,	PUNCT
fis-1486	181	21	mamiya	mamiya	PROPN
fis-1486	181	22	,	,	PUNCT
fis-1486	181	23	e.	e.	PROPN
fis-1486	181	24	,	,	PUNCT
fis-1486	181	25	on	on	ADP
fis-1486	181	26	the	the	DET
fis-1486	181	27	use	use	NOUN
fis-1486	181	28	of	of	ADP
fis-1486	181	29	the	the	DET
fis-1486	181	30	theory	theory	NOUN
fis-1486	181	31	of	of	ADP
fis-1486	181	32	critical	critical	ADJ
fis-1486	181	33	distances	distance	NOUN
fis-1486	181	34	and	and	CCONJ
fis-1486	181	35	the	the	DET
fis-1486	181	36	modified	modify	VERB
fis-1486	181	37	wöhler	wöhl	ADJ
fis-1486	181	38	curve	curve	NOUN
fis-1486	181	39	method	method	NOUN
fis-1486	181	40	to	to	PART
fis-1486	181	41	estimate	estimate	VERB
fis-1486	181	42	fretting	fret	VERB
fis-1486	181	43	fatigue	fatigue	NOUN
fis-1486	181	44	strength	strength	NOUN
fis-1486	181	45	of	of	ADP
fis-1486	181	46	cylindrical	cylindrical	ADJ
fis-1486	181	47	contacts	contact	NOUN
fis-1486	181	48	,	,	PUNCT
fis-1486	181	49	international	international	ADJ
fis-1486	181	50	journal	journal	NOUN
fis-1486	181	51	of	of	ADP
fis-1486	181	52	fatigue	fatigue	NOUN
fis-1486	181	53	,	,	PUNCT
fis-1486	181	54	29	29	NUM
fis-1486	181	55	(	(	PUNCT
fis-1486	181	56	1	1	NUM
fis-1486	181	57	)	)	PUNCT
fis-1486	181	58	(	(	PUNCT
fis-1486	181	59	2007	2007	NUM
fis-1486	181	60	)	)	PUNCT
fis-1486	181	61	95	95	NUM
fis-1486	181	62	-	-	SYM
fis-1486	181	63	107	107	NUM
fis-1486	181	64	.	.	PUNCT
fis-1486	182	1	[	[	X
fis-1486	182	2	2	2	NUM
fis-1486	182	3	]	]	PUNCT
fis-1486	182	4	fouvry	fouvry	NOUN
fis-1486	182	5	,	,	PUNCT
fis-1486	182	6	s.	s.	PROPN
fis-1486	182	7	,	,	PUNCT
fis-1486	182	8	gallien	gallien	PROPN
fis-1486	182	9	,	,	PUNCT
fis-1486	182	10	h.	h.	PROPN
fis-1486	182	11	,	,	PUNCT
fis-1486	182	12	berthel	berthel	PROPN
fis-1486	182	13	,	,	PUNCT
fis-1486	182	14	b.	b.	PROPN
fis-1486	182	15	,	,	PUNCT
fis-1486	182	16	from	from	ADP
fis-1486	182	17	unito	unito	ADJ
fis-1486	182	18	multi	multi	ADJ
fis-1486	182	19	-	-	ADJ
fis-1486	182	20	axial	axial	ADJ
fis-1486	182	21	fretting	fret	VERB
fis-1486	182	22	-	-	PUNCT
fis-1486	182	23	fatigue	fatigue	NOUN
fis-1486	182	24	crack	crack	NOUN
fis-1486	182	25	nucleation	nucleation	NOUN
fis-1486	182	26	:	:	PUNCT
fis-1486	182	27	development	development	NOUN
fis-1486	182	28	of	of	ADP
fis-1486	182	29	a	a	DET
fis-1486	182	30	stress	stress	NOUN
fis-1486	182	31	-	-	PUNCT
fis-1486	182	32	gradient	gradient	NOUN
fis-1486	182	33	-	-	PUNCT
fis-1486	182	34	dependent	dependent	ADJ
fis-1486	182	35	critical	critical	ADJ
fis-1486	182	36	distance	distance	NOUN
fis-1486	182	37	approach	approach	NOUN
fis-1486	182	38	,	,	PUNCT
fis-1486	182	39	international	international	ADJ
fis-1486	182	40	journal	journal	NOUN
fis-1486	182	41	of	of	ADP
fis-1486	182	42	fatigue	fatigue	NOUN
fis-1486	182	43	,	,	PUNCT
fis-1486	182	44	62(0	62(0	NOUN
fis-1486	182	45	)	)	PUNCT
fis-1486	182	46	(	(	PUNCT
fis-1486	182	47	2014	2014	NUM
fis-1486	182	48	)	)	PUNCT
fis-1486	182	49	194	194	NUM
fis-1486	182	50	-	-	SYM
fis-1486	182	51	209	209	NUM
fis-1486	182	52	.	.	PUNCT
fis-1486	183	1	[	[	X
fis-1486	183	2	3	3	NUM
fis-1486	183	3	]	]	X
fis-1486	183	4	fouvry	fouvry	NOUN
fis-1486	183	5	,	,	PUNCT
fis-1486	183	6	s.	s.	PROPN
fis-1486	183	7	,	,	PUNCT
fis-1486	183	8	nowell	nowell	PROPN
fis-1486	183	9	,	,	PUNCT
fis-1486	183	10	d.	d.	PROPN
fis-1486	183	11	,	,	PUNCT
fis-1486	183	12	kubiak	kubiak	PROPN
fis-1486	183	13	,	,	PUNCT
fis-1486	183	14	k.	k.	PROPN
fis-1486	183	15	,	,	PUNCT
fis-1486	183	16	hills	hills	PROPN
fis-1486	183	17	,	,	PUNCT
fis-1486	183	18	d.	d.	PROPN
fis-1486	183	19	,	,	PUNCT
fis-1486	183	20	prediction	prediction	NOUN
fis-1486	183	21	of	of	ADP
fis-1486	183	22	fretting	fret	VERB
fis-1486	183	23	crack	crack	NOUN
fis-1486	183	24	propagation	propagation	NOUN
fis-1486	183	25	based	base	VERB
fis-1486	183	26	on	on	ADP
fis-1486	183	27	a	a	DET
fis-1486	183	28	short	short	ADJ
fis-1486	183	29	crack	crack	NOUN
fis-1486	183	30	methodology	methodology	NOUN
fis-1486	183	31	,	,	PUNCT
fis-1486	183	32	engineering	engineering	NOUN
fis-1486	183	33	fracture	fracture	NOUN
fis-1486	183	34	mechanics	mechanic	NOUN
fis-1486	183	35	,	,	PUNCT
fis-1486	183	36	75	75	NUM
fis-1486	183	37	(	(	PUNCT
fis-1486	183	38	6	6	NUM
fis-1486	183	39	)	)	PUNCT
fis-1486	183	40	(	(	PUNCT
fis-1486	183	41	2008	2008	NUM
fis-1486	183	42	)	)	PUNCT
fis-1486	183	43	1605	1605	NUM
fis-1486	183	44	-	-	SYM
fis-1486	183	45	1622	1622	NUM
fis-1486	183	46	.	.	PUNCT
fis-1486	184	1	[	[	X
fis-1486	184	2	4	4	NUM
fis-1486	184	3	]	]	SYM
fis-1486	184	4	dini	dini	NOUN
fis-1486	184	5	,	,	PUNCT
fis-1486	184	6	d.	d.	PROPN
fis-1486	184	7	,	,	PUNCT
fis-1486	184	8	nowell	nowell	PROPN
fis-1486	184	9	,	,	PUNCT
fis-1486	184	10	d.	d.	PROPN
fis-1486	184	11	,	,	PUNCT
fis-1486	184	12	dyson	dyson	PROPN
fis-1486	184	13	,	,	PUNCT
fis-1486	184	14	i.	i.	PROPN
fis-1486	184	15	n.	n.	PROPN
fis-1486	184	16	,	,	PUNCT
fis-1486	184	17	the	the	DET
fis-1486	184	18	use	use	NOUN
fis-1486	184	19	of	of	ADP
fis-1486	184	20	notch	notch	ADJ
fis-1486	184	21	and	and	CCONJ
fis-1486	184	22	short	short	ADJ
fis-1486	184	23	crack	crack	NOUN
fis-1486	184	24	approaches	approach	NOUN
fis-1486	184	25	to	to	ADP
fis-1486	184	26	fretting	fret	VERB
fis-1486	184	27	fatigue	fatigue	NOUN
fis-1486	184	28	threshold	threshold	NOUN
fis-1486	184	29	prediction	prediction	NOUN
fis-1486	184	30	:	:	PUNCT
fis-1486	184	31	theory	theory	NOUN
fis-1486	184	32	and	and	CCONJ
fis-1486	184	33	experimental	experimental	ADJ
fis-1486	184	34	validation	validation	NOUN
fis-1486	184	35	,	,	PUNCT
fis-1486	184	36	tribology	tribology	NOUN
fis-1486	184	37	international	international	NOUN
fis-1486	184	38	,	,	PUNCT
fis-1486	184	39	39(10	39(10	NUM
fis-1486	184	40	)	)	PUNCT
fis-1486	184	41	(	(	PUNCT
fis-1486	184	42	2006	2006	NUM
fis-1486	184	43	)	)	PUNCT
fis-1486	184	44	1158	1158	NUM
fis-1486	184	45	-	-	SYM
fis-1486	184	46	1165	1165	NUM
fis-1486	184	47	.	.	PUNCT
fis-1486	185	1	[	[	X
fis-1486	185	2	5	5	NUM
fis-1486	185	3	]	]	PUNCT
fis-1486	185	4	giannakopoulos	giannakopoulos	PROPN
fis-1486	185	5	,	,	PUNCT
fis-1486	185	6	a.	a.	NOUN
fis-1486	185	7	,	,	PUNCT
fis-1486	185	8	lindley	lindley	NOUN
fis-1486	185	9	,	,	PUNCT
fis-1486	185	10	t.	t.	PROPN
fis-1486	185	11	,	,	PUNCT
fis-1486	185	12	suresh	suresh	PROPN
fis-1486	185	13	,	,	PUNCT
fis-1486	185	14	s.	s.	PROPN
fis-1486	185	15	,	,	PUNCT
fis-1486	185	16	aspects	aspect	NOUN
fis-1486	185	17	of	of	ADP
fis-1486	185	18	equivalence	equivalence	NOUN
fis-1486	185	19	between	between	ADP
fis-1486	185	20	contact	contact	NOUN
fis-1486	185	21	mechanics	mechanic	NOUN
fis-1486	185	22	and	and	CCONJ
fis-1486	185	23	fracture	fracture	NOUN
fis-1486	185	24	mechanics	mechanic	NOUN
fis-1486	185	25	:	:	PUNCT
fis-1486	185	26	theoretical	theoretical	ADJ
fis-1486	185	27	connections	connection	NOUN
fis-1486	185	28	and	and	CCONJ
fis-1486	185	29	a	a	DET
fis-1486	185	30	life	life	NOUN
fis-1486	185	31	-	-	PUNCT
fis-1486	185	32	prediction	prediction	NOUN
fis-1486	185	33	methodology	methodology	NOUN
fis-1486	185	34	for	for	ADP
fis-1486	185	35	fretting	fret	VERB
fis-1486	185	36	-	-	PUNCT
fis-1486	185	37	fatigue	fatigue	NOUN
fis-1486	185	38	,	,	PUNCT
fis-1486	185	39	acta	acta	PROPN
fis-1486	185	40	mater	mater	NOUN
fis-1486	185	41	,	,	PUNCT
fis-1486	185	42	46(9	46(9	NUM
fis-1486	185	43	)	)	PUNCT
fis-1486	185	44	(	(	PUNCT
fis-1486	185	45	1998	1998	NUM
fis-1486	185	46	)	)	PUNCT
fis-1486	185	47	2955	2955	NUM
fis-1486	185	48	-	-	SYM
fis-1486	185	49	68	68	NUM
fis-1486	185	50	.	.	PUNCT
fis-1486	186	1	[	[	X
fis-1486	186	2	6	6	NUM
fis-1486	186	3	]	]	PUNCT
fis-1486	186	4	giannakopoulos	giannakopoulos	PROPN
fis-1486	186	5	,	,	PUNCT
fis-1486	186	6	a.	a.	PROPN
fis-1486	186	7	,	,	PUNCT
fis-1486	186	8	suresh	suresh	PROPN
fis-1486	186	9	,	,	PUNCT
fis-1486	186	10	s.	s.	PROPN
fis-1486	186	11	,	,	PUNCT
fis-1486	186	12	chenut	chenut	NOUN
fis-1486	186	13	,	,	PUNCT
fis-1486	186	14	s.	s.	PROPN
fis-1486	186	15	,	,	PUNCT
fis-1486	186	16	similarities	similarity	NOUN
fis-1486	186	17	of	of	ADP
fis-1486	186	18	stress	stress	ADJ
fis-1486	186	19	concentrations	concentration	NOUN
fis-1486	186	20	in	in	ADP
fis-1486	186	21	contact	contact	NOUN
fis-1486	186	22	at	at	ADP
fis-1486	186	23	round	round	ADJ
fis-1486	186	24	punches	punch	NOUN
fis-1486	186	25	and	and	CCONJ
fis-1486	186	26	fatigue	fatigue	NOUN
fis-1486	186	27	at	at	ADP
fis-1486	186	28	notches	notch	NOUN
fis-1486	186	29	:	:	PUNCT
fis-1486	186	30	implication	implication	NOUN
fis-1486	186	31	to	to	ADP
fis-1486	186	32	fretting	fret	VERB
fis-1486	186	33	fatigue	fatigue	NOUN
fis-1486	186	34	crack	crack	NOUN
fis-1486	186	35	initiation	initiation	NOUN
fis-1486	186	36	,	,	PUNCT
fis-1486	186	37	fatigue	fatigue	NOUN
fis-1486	186	38	fract	fract	NOUN
fis-1486	186	39	eng	eng	PROPN
fis-1486	186	40	mater	mater	PROPN
fis-1486	186	41	struct	struct	NOUN
fis-1486	186	42	,	,	PUNCT
fis-1486	186	43	23(7	23(7	NUM
fis-1486	186	44	)	)	PUNCT
fis-1486	186	45	(	(	PUNCT
fis-1486	186	46	2000	2000	NUM
fis-1486	186	47	)	)	PUNCT
fis-1486	186	48	561	561	NUM
fis-1486	186	49	-	-	SYM
fis-1486	186	50	71	71	NUM
fis-1486	186	51	.	.	PUNCT
fis-1486	187	1	[	[	X
fis-1486	187	2	7	7	NUM
fis-1486	187	3	]	]	SYM
fis-1486	187	4	pommier	pommier	NOUN
fis-1486	187	5	,	,	PUNCT
fis-1486	187	6	s.	s.	PROPN
fis-1486	187	7	,	,	PUNCT
fis-1486	187	8	hamam	hamam	PROPN
fis-1486	187	9	,	,	PUNCT
fis-1486	187	10	r.	r.	PROPN
fis-1486	187	11	,	,	PUNCT
fis-1486	187	12	incremental	incremental	ADJ
fis-1486	187	13	model	model	NOUN
fis-1486	187	14	for	for	ADP
fis-1486	187	15	fatigue	fatigue	NOUN
fis-1486	187	16	crack	crack	NOUN
fis-1486	187	17	growth	growth	NOUN
fis-1486	187	18	based	base	VERB
fis-1486	187	19	on	on	ADP
fis-1486	187	20	a	a	DET
fis-1486	187	21	displacement	displacement	ADJ
fis-1486	187	22	partitioning	partitioning	NOUN
fis-1486	187	23	hypothesis	hypothesis	NOUN
fis-1486	187	24	of	of	ADP
fis-1486	187	25	mode	mode	NOUN
fis-1486	187	26	i	i	PRON
fis-1486	187	27	elastic	elastic	ADJ
fis-1486	187	28	-	-	PUNCT
fis-1486	187	29	plastic	plastic	NOUN
fis-1486	187	30	displacement	displacement	NOUN
fis-1486	187	31	fields	field	NOUN
fis-1486	187	32	,	,	PUNCT
fis-1486	187	33	fatigue	fatigue	NOUN
fis-1486	187	34	&	&	CCONJ
fis-1486	187	35	fracture	fracture	PROPN
fis-1486	187	36	of	of	ADP
fis-1486	187	37	engineering	engineering	NOUN
fis-1486	187	38	materials	material	NOUN
fis-1486	187	39	&	&	CCONJ
fis-1486	187	40	structures	structure	NOUN
fis-1486	187	41	,	,	PUNCT
fis-1486	187	42	30	30	NUM
fis-1486	187	43	(	(	PUNCT
fis-1486	187	44	7	7	NUM
fis-1486	187	45	)	)	PUNCT
fis-1486	187	46	(	(	PUNCT
fis-1486	187	47	2007	2007	NUM
fis-1486	187	48	)	)	PUNCT
fis-1486	187	49	582	582	NUM
fis-1486	187	50	-	-	SYM
fis-1486	187	51	598	598	NUM
fis-1486	187	52	.	.	PUNCT
fis-1486	188	1	[	[	X
fis-1486	188	2	8	8	NUM
fis-1486	188	3	]	]	SYM
fis-1486	188	4	pommier	pommier	NOUN
fis-1486	188	5	,	,	PUNCT
fis-1486	188	6	s.	s.	PROPN
fis-1486	188	7	,	,	PUNCT
fis-1486	188	8	lopez	lopez	NOUN
fis-1486	188	9	-	-	PUNCT
fis-1486	188	10	crespo	crespo	NOUN
fis-1486	188	11	,	,	PUNCT
fis-1486	188	12	p.	p.	PROPN
fis-1486	188	13	,	,	PUNCT
fis-1486	188	14	decreuse	decreuse	NOUN
fis-1486	188	15	,	,	PUNCT
fis-1486	188	16	p.y	p.y	PROPN
fis-1486	188	17	.	.	PROPN
fis-1486	188	18	,	,	PUNCT
fis-1486	188	19	a	a	DET
fis-1486	188	20	multi	multi	ADJ
fis-1486	188	21	-	-	ADJ
fis-1486	188	22	scale	scale	ADJ
fis-1486	188	23	approach	approach	NOUN
fis-1486	188	24	to	to	PART
fis-1486	188	25	condense	condense	VERB
fis-1486	188	26	the	the	DET
fis-1486	188	27	cyclic	cyclic	ADJ
fis-1486	188	28	elastic	elastic	ADJ
fis-1486	188	29	-	-	PUNCT
fis-1486	188	30	plastic	plastic	NOUN
fis-1486	188	31	behaviour	behaviour	NOUN
fis-1486	188	32	of	of	ADP
fis-1486	188	33	the	the	DET
fis-1486	188	34	crack	crack	NOUN
fis-1486	188	35	tip	tip	NOUN
fis-1486	188	36	region	region	NOUN
fis-1486	188	37	into	into	ADP
fis-1486	188	38	an	an	DET
fis-1486	188	39	extended	extended	ADJ
fis-1486	188	40	constitutive	constitutive	ADJ
fis-1486	188	41	model	model	NOUN
fis-1486	188	42	,	,	PUNCT
fis-1486	188	43	fatigue	fatigue	NOUN
fis-1486	188	44	&	&	CCONJ
fis-1486	188	45	fracture	fracture	PROPN
fis-1486	188	46	of	of	ADP
fis-1486	188	47	engineering	engineering	NOUN
fis-1486	188	48	materials	material	NOUN
fis-1486	188	49	&	&	CCONJ
fis-1486	188	50	structures	structure	NOUN
fis-1486	188	51	,	,	PUNCT
fis-1486	188	52	32(11	32(11	NUM
fis-1486	188	53	)	)	PUNCT
fis-1486	188	54	(	(	PUNCT
fis-1486	188	55	2009	2009	NUM
fis-1486	188	56	)	)	PUNCT
fis-1486	188	57	899	899	NUM
fis-1486	188	58	-	-	SYM
fis-1486	188	59	915	915	NUM
fis-1486	188	60	.	.	PUNCT
fis-1486	189	1	[	[	X
fis-1486	189	2	9	9	NUM
fis-1486	189	3	]	]	SYM
fis-1486	189	4	montebello	montebello	PROPN
fis-1486	189	5	,	,	PUNCT
fis-1486	189	6	c.	c.	PROPN
fis-1486	189	7	,	,	PUNCT
fis-1486	189	8	pommier	pommier	NOUN
fis-1486	189	9	,	,	PUNCT
fis-1486	189	10	s.	s.	PROPN
fis-1486	189	11	,	,	PUNCT
fis-1486	189	12	demmou	demmou	ADV
fis-1486	189	13	,	,	PUNCT
fis-1486	189	14	k.	k.	PROPN
fis-1486	189	15	,	,	PUNCT
fis-1486	189	16	leroux	leroux	PROPN
fis-1486	189	17	,	,	PUNCT
fis-1486	189	18	j.	j.	PROPN
fis-1486	189	19	,	,	PUNCT
fis-1486	189	20	meriaux	meriaux	PROPN
fis-1486	189	21	,	,	PUNCT
fis-1486	189	22	j.	j.	PROPN
fis-1486	189	23	,	,	PUNCT
fis-1486	189	24	analysis	analysis	NOUN
fis-1486	189	25	of	of	ADP
fis-1486	189	26	the	the	DET
fis-1486	189	27	stress	stress	NOUN
fis-1486	189	28	gradient	gradient	ADJ
fis-1486	189	29	effect	effect	NOUN
fis-1486	189	30	in	in	ADP
fis-1486	189	31	frettingfatigue	frettingfatigue	NOUN
fis-1486	189	32	through	through	ADP
fis-1486	189	33	nonlocal	nonlocal	ADJ
fis-1486	189	34	intensity	intensity	NOUN
fis-1486	189	35	factors	factor	NOUN
fis-1486	189	36	,	,	PUNCT
fis-1486	189	37	internation	internation	NOUN
fis-1486	189	38	journal	journal	NOUN
fis-1486	189	39	of	of	ADP
fis-1486	189	40	fatigue	fatigue	NOUN
fis-1486	189	41	,	,	PUNCT
fis-1486	189	42	(	(	PUNCT
fis-1486	189	43	2015	2015	NUM
fis-1486	189	44	)	)	PUNCT
fis-1486	189	45	.	.	PUNCT
fis-1486	190	1	[	[	X
fis-1486	190	2	10	10	NUM
fis-1486	190	3	]	]	SYM
fis-1486	190	4	loéve	loéve	NOUN
fis-1486	190	5	,	,	PUNCT
fis-1486	190	6	m.	m.	NOUN
fis-1486	190	7	,	,	PUNCT
fis-1486	190	8	probability	probability	NOUN
fis-1486	190	9	theory	theory	NOUN
fis-1486	190	10	,	,	PUNCT
fis-1486	190	11	van	van	PROPN
fis-1486	190	12	nostrand	nostrand	PROPN
fis-1486	190	13	,	,	PUNCT
fis-1486	190	14	new	new	PROPN
fis-1486	190	15	york	york	PROPN
fis-1486	190	16	,	,	PUNCT
fis-1486	190	17	(	(	PUNCT
fis-1486	190	18	1955	1955	NUM
fis-1486	190	19	)	)	PUNCT
fis-1486	190	20	.	.	PUNCT
fis-1486	191	1	[	[	X
fis-1486	191	2	11	11	NUM
fis-1486	191	3	]	]	PUNCT
fis-1486	191	4	vingsbo	vingsbo	NOUN
fis-1486	191	5	,	,	PUNCT
fis-1486	191	6	o.	o.	PROPN
fis-1486	191	7	,	,	PUNCT
fis-1486	191	8	söderberg	söderberg	PROPN
fis-1486	191	9	,	,	PUNCT
fis-1486	191	10	s.	s.	PROPN
fis-1486	191	11	,	,	PUNCT
fis-1486	191	12	on	on	ADP
fis-1486	191	13	fretting	fret	VERB
fis-1486	191	14	maps	map	NOUN
fis-1486	191	15	,	,	PUNCT
fis-1486	191	16	wear	wear	VERB
fis-1486	191	17	,	,	PUNCT
fis-1486	191	18	126(2	126(2	NUM
fis-1486	191	19	)	)	PUNCT
fis-1486	191	20	(	(	PUNCT
fis-1486	191	21	1988	1988	NUM
fis-1486	191	22	)	)	PUNCT
fis-1486	191	23	131	131	NUM
fis-1486	191	24	-	-	SYM
fis-1486	191	25	147	147	NUM
fis-1486	191	26	.	.	PUNCT