id	sid	tid	token	lemma	pos
fis-1230	1	1	microsoft	microsoft	PROPN
fis-1230	1	2	word	word	PROPN
fis-1230	1	3	numero_28_art_2	numero_28_art_2	PROPN
fis-1230	1	4	m.	m.	NOUN
fis-1230	1	5	malnati	malnati	PROPN
fis-1230	1	6	,	,	PUNCT
fis-1230	1	7	frattura	frattura	PROPN
fis-1230	1	8	ed	ed	PROPN
fis-1230	1	9	integrità	integrità	PROPN
fis-1230	1	10	strutturale	strutturale	PROPN
fis-1230	1	11	,	,	PUNCT
fis-1230	1	12	28	28	NUM
fis-1230	1	13	(	(	PUNCT
fis-1230	1	14	2014	2014	NUM
fis-1230	1	15	)	)	PUNCT
fis-1230	1	16	12	12	NUM
fis-1230	1	17	-	-	SYM
fis-1230	1	18	18	18	NUM
fis-1230	1	19	;	;	PUNCT
fis-1230	1	20	doi	doi	NOUN
fis-1230	1	21	:	:	PUNCT
fis-1230	1	22	10.3221	10.3221	NUM
fis-1230	1	23	/	/	SYM
fis-1230	1	24	igf	igf	PROPN
fis-1230	1	25	-	-	ADJ
fis-1230	1	26	esis.28.02	esis.28.02	PROPN
fis-1230	1	27	12	12	NUM
fis-1230	1	28	a	a	DET
fis-1230	1	29	method	method	NOUN
fis-1230	1	30	for	for	ADP
fis-1230	1	31	calculation	calculation	NOUN
fis-1230	1	32	of	of	ADP
fis-1230	1	33	finite	finite	ADJ
fis-1230	1	34	fatigue	fatigue	NOUN
fis-1230	1	35	life	life	NOUN
fis-1230	1	36	under	under	ADP
fis-1230	1	37	multiaxial	multiaxial	ADJ
fis-1230	1	38	loading	loading	NOUN
fis-1230	1	39	in	in	ADP
fis-1230	1	40	high	high	ADJ
fis-1230	1	41	-	-	PUNCT
fis-1230	1	42	cycle	cycle	NOUN
fis-1230	1	43	domain	domain	NOUN
fis-1230	1	44	m.	m.	NOUN
fis-1230	1	45	malnati	malnati	PROPN
fis-1230	1	46	ruag	ruag	PROPN
fis-1230	1	47	aerospace	aerospace	PROPN
fis-1230	1	48	services	service	NOUN
fis-1230	1	49	gmbh	gmbh	PROPN
fis-1230	1	50	ruag	ruag	PROPN
fis-1230	1	51	aviation	aviation	PROPN
fis-1230	1	52	,	,	PUNCT
fis-1230	1	53	claude	claude	NOUN
fis-1230	1	54	-	-	PUNCT
fis-1230	1	55	dornier	dornier	NOUN
fis-1230	1	56	-	-	PUNCT
fis-1230	1	57	str	str	NOUN
fis-1230	1	58	.	.	PUNCT
fis-1230	1	59	,	,	PUNCT
fis-1230	1	60	82231	82231	NUM
fis-1230	1	61	wessling	wessling	NOUN
fis-1230	1	62	,	,	PUNCT
fis-1230	1	63	germany	germany	PROPN
fis-1230	1	64	mario.malnati@ruag.com	mario.malnati@ruag.com	PROPN
fis-1230	1	65	,	,	PUNCT
fis-1230	1	66	mario.malnati@yahoo.fr	mario.malnati@yahoo.fr	PROPN
fis-1230	1	67	abstract	abstract	NOUN
fis-1230	1	68	.	.	PUNCT
fis-1230	2	1	a	a	DET
fis-1230	2	2	method	method	NOUN
fis-1230	2	3	for	for	ADP
fis-1230	2	4	fatigue	fatigue	NOUN
fis-1230	2	5	life	life	NOUN
fis-1230	2	6	assessment	assessment	NOUN
fis-1230	2	7	in	in	ADP
fis-1230	2	8	high	high	ADJ
fis-1230	2	9	-	-	PUNCT
fis-1230	2	10	cycle	cycle	NOUN
fis-1230	2	11	domain	domain	NOUN
fis-1230	2	12	under	under	ADP
fis-1230	2	13	multiaxial	multiaxial	ADJ
fis-1230	2	14	loading	loading	NOUN
fis-1230	2	15	is	be	AUX
fis-1230	2	16	presented	present	VERB
fis-1230	2	17	in	in	ADP
fis-1230	2	18	this	this	DET
fis-1230	2	19	paper	paper	NOUN
fis-1230	2	20	.	.	PUNCT
fis-1230	3	1	this	this	DET
fis-1230	3	2	approach	approach	NOUN
fis-1230	3	3	allows	allow	VERB
fis-1230	3	4	fatigue	fatigue	NOUN
fis-1230	3	5	assessment	assessment	NOUN
fis-1230	3	6	under	under	ADP
fis-1230	3	7	any	any	DET
fis-1230	3	8	kind	kind	NOUN
fis-1230	3	9	of	of	ADP
fis-1230	3	10	load	load	NOUN
fis-1230	3	11	history	history	NOUN
fis-1230	3	12	,	,	PUNCT
fis-1230	3	13	without	without	ADP
fis-1230	3	14	limitations	limitation	NOUN
fis-1230	3	15	.	.	PUNCT
fis-1230	4	1	the	the	DET
fis-1230	4	2	methodology	methodology	NOUN
fis-1230	4	3	lies	lie	VERB
fis-1230	4	4	on	on	ADP
fis-1230	4	5	the	the	DET
fis-1230	4	6	construction	construction	NOUN
fis-1230	4	7	at	at	ADP
fis-1230	4	8	a	a	DET
fis-1230	4	9	macroscopic	macroscopic	ADJ
fis-1230	4	10	level	level	NOUN
fis-1230	4	11	of	of	ADP
fis-1230	4	12	an	an	DET
fis-1230	4	13	“	"	PUNCT
fis-1230	4	14	indicator	indicator	NOUN
fis-1230	4	15	”	"	PUNCT
fis-1230	4	16	in	in	ADP
fis-1230	4	17	the	the	DET
fis-1230	4	18	form	form	NOUN
fis-1230	4	19	of	of	ADP
fis-1230	4	20	a	a	DET
fis-1230	4	21	set	set	NOUN
fis-1230	4	22	of	of	ADP
fis-1230	4	23	cycles	cycle	NOUN
fis-1230	4	24	,	,	PUNCT
fis-1230	4	25	representing	represent	VERB
fis-1230	4	26	plasticity	plasticity	NOUN
fis-1230	4	27	that	that	PRON
fis-1230	4	28	can	can	AUX
fis-1230	4	29	arise	arise	VERB
fis-1230	4	30	at	at	ADP
fis-1230	4	31	mesoscopic	mesoscopic	NOUN
fis-1230	4	32	level	level	NOUN
fis-1230	4	33	throughout	throughout	ADP
fis-1230	4	34	fatigue	fatigue	NOUN
fis-1230	4	35	process	process	NOUN
fis-1230	4	36	.	.	PUNCT
fis-1230	5	1	during	during	ADP
fis-1230	5	2	the	the	DET
fis-1230	5	3	advancement	advancement	NOUN
fis-1230	5	4	of	of	ADP
fis-1230	5	5	the	the	DET
fis-1230	5	6	loading	loading	NOUN
fis-1230	5	7	history	history	NOUN
fis-1230	5	8	new	new	ADJ
fis-1230	5	9	cycles	cycle	NOUN
fis-1230	5	10	are	be	AUX
fis-1230	5	11	created	create	VERB
fis-1230	5	12	and	and	CCONJ
fis-1230	5	13	a	a	DET
fis-1230	5	14	continuous	continuous	ADJ
fis-1230	5	15	evaluation	evaluation	NOUN
fis-1230	5	16	of	of	ADP
fis-1230	5	17	the	the	DET
fis-1230	5	18	damage	damage	NOUN
fis-1230	5	19	is	be	AUX
fis-1230	5	20	made	make	VERB
fis-1230	5	21	.	.	PUNCT
fis-1230	6	1	keywords	keyword	NOUN
fis-1230	6	2	.	.	PUNCT
fis-1230	7	1	high	high	ADJ
fis-1230	7	2	-	-	PUNCT
fis-1230	7	3	cycle	cycle	NOUN
fis-1230	7	4	multiaxial	multiaxial	ADJ
fis-1230	7	5	fatigue	fatigue	NOUN
fis-1230	7	6	;	;	PUNCT
fis-1230	7	7	metal	metal	NOUN
fis-1230	7	8	fatigue	fatigue	NOUN
fis-1230	7	9	;	;	PUNCT
fis-1230	7	10	multiaxial	multiaxial	ADJ
fis-1230	7	11	rainflow	rainflow	ADJ
fis-1230	7	12	counting	counting	NOUN
fis-1230	7	13	;	;	PUNCT
fis-1230	7	14	crack	crack	VERB
fis-1230	7	15	initiation	initiation	NOUN
fis-1230	7	16	;	;	PUNCT
fis-1230	7	17	nonproportional	nonproportional	ADJ
fis-1230	7	18	loading	loading	NOUN
fis-1230	7	19	;	;	PUNCT
fis-1230	7	20	continuous	continuous	ADJ
fis-1230	7	21	damage	damage	NOUN
fis-1230	7	22	.	.	PUNCT
fis-1230	8	1	introduction	introduction	NOUN
fis-1230	8	2	umerous	umerous	ADJ
fis-1230	8	3	methods	method	NOUN
fis-1230	8	4	for	for	ADP
fis-1230	8	5	multiaxial	multiaxial	ADJ
fis-1230	8	6	fatigue	fatigue	NOUN
fis-1230	8	7	analysis	analysis	NOUN
fis-1230	8	8	exist	exist	VERB
fis-1230	8	9	in	in	ADP
fis-1230	8	10	literature	literature	NOUN
fis-1230	8	11	(	(	PUNCT
fis-1230	8	12	see	see	VERB
fis-1230	8	13	e.g.	e.g.	ADV
fis-1230	8	14	[	[	X
fis-1230	8	15	1	1	NUM
fis-1230	8	16	]	]	PUNCT
fis-1230	8	17	)	)	PUNCT
fis-1230	8	18	and	and	CCONJ
fis-1230	8	19	they	they	PRON
fis-1230	8	20	are	be	AUX
fis-1230	8	21	widely	widely	ADV
fis-1230	8	22	applied	apply	VERB
fis-1230	8	23	in	in	ADP
fis-1230	8	24	different	different	ADJ
fis-1230	8	25	industrial	industrial	ADJ
fis-1230	8	26	contexts	contexts	NOUN
fis-1230	8	27	.	.	PUNCT
fis-1230	9	1	nevertheless	nevertheless	ADV
fis-1230	9	2	many	many	ADJ
fis-1230	9	3	of	of	ADP
fis-1230	9	4	them	they	PRON
fis-1230	9	5	are	be	AUX
fis-1230	9	6	limited	limit	VERB
fis-1230	9	7	to	to	ADP
fis-1230	9	8	specific	specific	ADJ
fis-1230	9	9	loading	loading	NOUN
fis-1230	9	10	conditions	condition	NOUN
fis-1230	9	11	typically	typically	ADV
fis-1230	9	12	proportional	proportional	ADJ
fis-1230	9	13	loading	loading	NOUN
fis-1230	9	14	:	:	PUNCT
fis-1230	9	15	see	see	VERB
fis-1230	9	16	[	[	X
fis-1230	9	17	2	2	NUM
fis-1230	9	18	,	,	PUNCT
fis-1230	9	19	3	3	NUM
fis-1230	9	20	]	]	PUNCT
fis-1230	9	21	for	for	ADP
fis-1230	9	22	a	a	DET
fis-1230	9	23	review	review	NOUN
fis-1230	9	24	or	or	CCONJ
fis-1230	9	25	intended	intend	VERB
fis-1230	9	26	only	only	ADV
fis-1230	9	27	for	for	ADP
fis-1230	9	28	an	an	DET
fis-1230	9	29	evaluation	evaluation	NOUN
fis-1230	9	30	of	of	ADP
fis-1230	9	31	the	the	DET
fis-1230	9	32	unlimited	unlimited	ADJ
fis-1230	9	33	fatigue	fatigue	NOUN
fis-1230	9	34	life	life	NOUN
fis-1230	9	35	(	(	PUNCT
fis-1230	9	36	see	see	VERB
fis-1230	9	37	[	[	X
fis-1230	9	38	1	1	NUM
fis-1230	9	39	,	,	PUNCT
fis-1230	9	40	2	2	NUM
fis-1230	9	41	,	,	PUNCT
fis-1230	9	42	4	4	NUM
fis-1230	9	43	]	]	NUM
fis-1230	9	44	)	)	PUNCT
fis-1230	9	45	.	.	PUNCT
fis-1230	10	1	the	the	DET
fis-1230	10	2	motivation	motivation	NOUN
fis-1230	10	3	of	of	ADP
fis-1230	10	4	the	the	DET
fis-1230	10	5	method	method	NOUN
fis-1230	10	6	presented	present	VERB
fis-1230	10	7	in	in	ADP
fis-1230	10	8	this	this	DET
fis-1230	10	9	paper	paper	NOUN
fis-1230	10	10	comes	come	VERB
fis-1230	10	11	from	from	ADP
fis-1230	10	12	the	the	DET
fis-1230	10	13	need	need	NOUN
fis-1230	10	14	felt	feel	VERB
fis-1230	10	15	during	during	ADP
fis-1230	10	16	years	year	NOUN
fis-1230	10	17	by	by	ADP
fis-1230	10	18	the	the	DET
fis-1230	10	19	author	author	NOUN
fis-1230	10	20	in	in	ADP
fis-1230	10	21	the	the	DET
fis-1230	10	22	fatigue	fatigue	NOUN
fis-1230	10	23	assessment	assessment	NOUN
fis-1230	10	24	of	of	ADP
fis-1230	10	25	industrial	industrial	ADJ
fis-1230	10	26	structures	structure	NOUN
fis-1230	10	27	,	,	PUNCT
fis-1230	10	28	to	to	PART
fis-1230	10	29	conceive	conceive	VERB
fis-1230	10	30	a	a	DET
fis-1230	10	31	simple	simple	ADJ
fis-1230	10	32	and	and	CCONJ
fis-1230	10	33	easily	easily	ADV
fis-1230	10	34	applicable	applicable	ADJ
fis-1230	10	35	tool	tool	NOUN
fis-1230	10	36	capable	capable	ADJ
fis-1230	10	37	to	to	PART
fis-1230	10	38	estimate	estimate	VERB
fis-1230	10	39	finite	finite	ADJ
fis-1230	10	40	life	life	NOUN
fis-1230	10	41	crack	crack	VERB
fis-1230	10	42	initiation	initiation	NOUN
fis-1230	10	43	under	under	ADP
fis-1230	10	44	any	any	DET
fis-1230	10	45	kind	kind	NOUN
fis-1230	10	46	of	of	ADP
fis-1230	10	47	loading	loading	NOUN
fis-1230	10	48	,	,	PUNCT
fis-1230	10	49	in	in	ADP
fis-1230	10	50	the	the	DET
fis-1230	10	51	domain	domain	NOUN
fis-1230	10	52	of	of	ADP
fis-1230	10	53	high	high	ADJ
fis-1230	10	54	-	-	PUNCT
fis-1230	10	55	cycle	cycle	NOUN
fis-1230	10	56	fatigue	fatigue	NOUN
fis-1230	10	57	(	(	PUNCT
fis-1230	10	58	hcf	hcf	PROPN
fis-1230	10	59	)	)	PUNCT
fis-1230	10	60	.	.	PUNCT
fis-1230	11	1	every	every	DET
fis-1230	11	2	type	type	NOUN
fis-1230	11	3	of	of	ADP
fis-1230	11	4	variable	variable	ADJ
fis-1230	11	5	amplitude	amplitude	NOUN
fis-1230	11	6	multiaxial	multiaxial	ADJ
fis-1230	11	7	stress	stress	NOUN
fis-1230	11	8	history	history	NOUN
fis-1230	11	9	can	can	AUX
fis-1230	11	10	be	be	AUX
fis-1230	11	11	treated	treat	VERB
fis-1230	11	12	without	without	ADP
fis-1230	11	13	presenting	present	VERB
fis-1230	11	14	incorrect	incorrect	ADJ
fis-1230	11	15	filtering	filtering	NOUN
fis-1230	11	16	of	of	ADP
fis-1230	11	17	significant	significant	ADJ
fis-1230	11	18	cycling	cycling	NOUN
fis-1230	11	19	events	event	NOUN
fis-1230	11	20	.	.	PUNCT
fis-1230	12	1	general	general	ADJ
fis-1230	12	2	presentation	presentation	NOUN
fis-1230	12	3	of	of	ADP
fis-1230	12	4	the	the	DET
fis-1230	12	5	method	method	NOUN
fis-1230	12	6	t	t	PROPN
fis-1230	12	7	is	be	AUX
fis-1230	12	8	a	a	DET
fis-1230	12	9	widely	widely	ADV
fis-1230	12	10	recognized	recognize	VERB
fis-1230	12	11	and	and	CCONJ
fis-1230	12	12	well	well	ADV
fis-1230	12	13	accepted	accept	VERB
fis-1230	12	14	phenomenon	phenomenon	NOUN
fis-1230	12	15	[	[	X
fis-1230	12	16	5	5	NUM
fis-1230	12	17	]	]	PUNCT
fis-1230	12	18	that	that	SCONJ
fis-1230	12	19	the	the	DET
fis-1230	12	20	fatigue	fatigue	NOUN
fis-1230	12	21	damage	damage	NOUN
fis-1230	12	22	in	in	ADP
fis-1230	12	23	the	the	DET
fis-1230	12	24	hcf	hcf	PROPN
fis-1230	12	25	domain	domain	NOUN
fis-1230	12	26	is	be	AUX
fis-1230	12	27	related	relate	VERB
fis-1230	12	28	to	to	ADP
fis-1230	12	29	the	the	DET
fis-1230	12	30	amount	amount	NOUN
fis-1230	12	31	of	of	ADP
fis-1230	12	32	plasticity	plasticity	NOUN
fis-1230	12	33	created	create	VERB
fis-1230	12	34	at	at	ADP
fis-1230	12	35	least	least	ADJ
fis-1230	12	36	in	in	ADP
fis-1230	12	37	some	some	DET
fis-1230	12	38	grains	grain	NOUN
fis-1230	12	39	under	under	ADP
fis-1230	12	40	a	a	DET
fis-1230	12	41	macroscopically	macroscopically	ADV
fis-1230	12	42	elastic	elastic	ADJ
fis-1230	12	43	stress	stress	NOUN
fis-1230	12	44	history	history	NOUN
fis-1230	12	45	.	.	PUNCT
fis-1230	13	1	the	the	DET
fis-1230	13	2	ref	ref	NOUN
fis-1230	13	3	.	.	PUNCT
fis-1230	14	1	[	[	X
fis-1230	14	2	5	5	NUM
fis-1230	14	3	]	]	PUNCT
fis-1230	14	4	gives	give	VERB
fis-1230	14	5	for	for	ADP
fis-1230	14	6	instance	instance	NOUN
fis-1230	14	7	a	a	DET
fis-1230	14	8	synthetic	synthetic	ADJ
fis-1230	14	9	understanding	understanding	NOUN
fis-1230	14	10	:	:	PUNCT
fis-1230	14	11	“	"	PUNCT
fis-1230	14	12	…	…	PUNCT
fis-1230	14	13	the	the	DET
fis-1230	14	14	common	common	ADJ
fis-1230	14	15	principal	principal	ADJ
fis-1230	14	16	mechanism	mechanism	NOUN
fis-1230	14	17	responsible	responsible	ADJ
fis-1230	14	18	of	of	ADP
fis-1230	14	19	the	the	DET
fis-1230	14	20	crack	crack	NOUN
fis-1230	14	21	initiation	initiation	NOUN
fis-1230	14	22	is	be	AUX
fis-1230	14	23	the	the	DET
fis-1230	14	24	plastic	plastic	NOUN
fis-1230	14	25	strains	strain	NOUN
fis-1230	14	26	and	and	CCONJ
fis-1230	14	27	the	the	DET
fis-1230	14	28	damage	damage	NOUN
fis-1230	14	29	developed	develop	VERB
fis-1230	14	30	in	in	ADP
fis-1230	14	31	the	the	DET
fis-1230	14	32	grains	grain	NOUN
fis-1230	14	33	due	due	ADJ
fis-1230	14	34	to	to	ADP
fis-1230	14	35	irreversible	irreversible	ADJ
fis-1230	14	36	dislocations	dislocation	NOUN
fis-1230	14	37	motion	motion	NOUN
fis-1230	14	38	.	.	PUNCT
fis-1230	15	1	the	the	DET
fis-1230	15	2	essential	essential	ADJ
fis-1230	15	3	difference	difference	NOUN
fis-1230	15	4	between	between	ADP
fis-1230	15	5	hcf	hcf	PROPN
fis-1230	15	6	and	and	CCONJ
fis-1230	15	7	lcf	lcf	PROPN
fis-1230	15	8	regimes	regime	NOUN
fis-1230	15	9	is	be	AUX
fis-1230	15	10	that	that	SCONJ
fis-1230	15	11	the	the	DET
fis-1230	15	12	scale	scale	NOUN
fis-1230	15	13	of	of	ADP
fis-1230	15	14	the	the	DET
fis-1230	15	15	plastic	plastic	NOUN
fis-1230	15	16	localization	localization	NOUN
fis-1230	15	17	in	in	ADP
fis-1230	15	18	a	a	DET
fis-1230	15	19	material	material	NOUN
fis-1230	15	20	volume	volume	NOUN
fis-1230	15	21	is	be	AUX
fis-1230	15	22	mesoscopic	mesoscopic	NOUN
fis-1230	15	23	and	and	CCONJ
fis-1230	15	24	respectively	respectively	ADV
fis-1230	15	25	macroscopic	macroscopic	ADJ
fis-1230	15	26	”	"	PUNCT
fis-1230	15	27	.	.	PUNCT
fis-1230	16	1	some	some	DET
fis-1230	16	2	criteria	criterion	NOUN
fis-1230	16	3	for	for	ADP
fis-1230	16	4	the	the	DET
fis-1230	16	5	calculation	calculation	NOUN
fis-1230	16	6	of	of	ADP
fis-1230	16	7	the	the	DET
fis-1230	16	8	fatigue	fatigue	NOUN
fis-1230	16	9	life	life	NOUN
fis-1230	16	10	are	be	AUX
fis-1230	16	11	actually	actually	ADV
fis-1230	16	12	based	base	VERB
fis-1230	16	13	on	on	ADP
fis-1230	16	14	the	the	DET
fis-1230	16	15	evaluation	evaluation	NOUN
fis-1230	16	16	of	of	ADP
fis-1230	16	17	the	the	DET
fis-1230	16	18	plasticity	plasticity	NOUN
fis-1230	16	19	amount	amount	NOUN
fis-1230	16	20	.	.	PUNCT
fis-1230	17	1	they	they	PRON
fis-1230	17	2	can	can	AUX
fis-1230	17	3	be	be	AUX
fis-1230	17	4	either	either	ADV
fis-1230	17	5	direct	direct	ADJ
fis-1230	17	6	as	as	SCONJ
fis-1230	17	7	described	describe	VERB
fis-1230	17	8	for	for	ADP
fis-1230	17	9	instance	instance	NOUN
fis-1230	17	10	in	in	ADP
fis-1230	17	11	[	[	X
fis-1230	17	12	6	6	NUM
fis-1230	17	13	]	]	PUNCT
fis-1230	17	14	and	and	CCONJ
fis-1230	17	15	[	[	X
fis-1230	17	16	7	7	NUM
fis-1230	17	17	]	]	PUNCT
fis-1230	17	18	,	,	PUNCT
fis-1230	17	19	where	where	SCONJ
fis-1230	17	20	a	a	DET
fis-1230	17	21	computational	computational	ADJ
fis-1230	17	22	crystal	crystal	NOUN
fis-1230	17	23	plasticity	plasticity	NOUN
fis-1230	17	24	model	model	NOUN
fis-1230	17	25	is	be	AUX
fis-1230	17	26	used	use	VERB
fis-1230	17	27	at	at	ADP
fis-1230	17	28	a	a	DET
fis-1230	17	29	refined	refined	ADJ
fis-1230	17	30	microstructural	microstructural	ADJ
fis-1230	17	31	scale	scale	NOUN
fis-1230	17	32	or	or	CCONJ
fis-1230	17	33	indirect	indirect	ADJ
fis-1230	17	34	,	,	PUNCT
fis-1230	17	35	like	like	ADP
fis-1230	17	36	for	for	ADP
fis-1230	17	37	example	example	NOUN
fis-1230	17	38	the	the	DET
fis-1230	17	39	work	work	NOUN
fis-1230	17	40	of	of	ADP
fis-1230	17	41	jabbado	jabbado	NOUN
fis-1230	17	42	and	and	CCONJ
fis-1230	17	43	maitournam	maitournam	NOUN
fis-1230	17	44	[	[	X
fis-1230	17	45	8	8	NUM
fis-1230	17	46	]	]	PUNCT
fis-1230	17	47	where	where	SCONJ
fis-1230	17	48	a	a	DET
fis-1230	17	49	macro	macro	ADJ
fis-1230	17	50	-	-	ADJ
fis-1230	17	51	meso	meso	NOUN
fis-1230	17	52	relationship	relationship	NOUN
fis-1230	17	53	is	be	AUX
fis-1230	17	54	used	use	VERB
fis-1230	17	55	.	.	PUNCT
fis-1230	18	1	n	n	PRON
fis-1230	19	1	i	i	PRON
fis-1230	19	2	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-1230	19	3	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ
fis-1230	19	4	m.	m.	NOUN
fis-1230	19	5	malnati	malnati	PROPN
fis-1230	19	6	,	,	PUNCT
fis-1230	19	7	frattura	frattura	PROPN
fis-1230	19	8	ed	ed	PROPN
fis-1230	19	9	integrità	integrità	PROPN
fis-1230	19	10	strutturale	strutturale	PROPN
fis-1230	19	11	,	,	PUNCT
fis-1230	19	12	28	28	NUM
fis-1230	19	13	(	(	PUNCT
fis-1230	19	14	2014	2014	NUM
fis-1230	19	15	)	)	PUNCT
fis-1230	19	16	12	12	NUM
fis-1230	19	17	-	-	SYM
fis-1230	19	18	18	18	NUM
fis-1230	19	19	;	;	PUNCT
fis-1230	19	20	doi	doi	NOUN
fis-1230	19	21	:	:	PUNCT
fis-1230	19	22	10.3221	10.3221	NUM
fis-1230	19	23	/	/	SYM
fis-1230	19	24	igf	igf	PROPN
fis-1230	19	25	-	-	ADJ
fis-1230	19	26	esis.28.02	esis.28.02	ADJ
fis-1230	19	27	13	13	NUM
fis-1230	19	28	similarly	similarly	ADV
fis-1230	19	29	,	,	PUNCT
fis-1230	19	30	the	the	DET
fis-1230	19	31	methodology	methodology	NOUN
fis-1230	19	32	proposed	propose	VERB
fis-1230	19	33	in	in	ADP
fis-1230	19	34	the	the	DET
fis-1230	19	35	present	present	ADJ
fis-1230	19	36	paper	paper	NOUN
fis-1230	19	37	has	have	VERB
fis-1230	19	38	its	its	PRON
fis-1230	19	39	foundation	foundation	NOUN
fis-1230	19	40	on	on	ADP
fis-1230	19	41	a	a	DET
fis-1230	19	42	plasticity	plasticity	NOUN
fis-1230	19	43	approach	approach	NOUN
fis-1230	19	44	,	,	PUNCT
fis-1230	19	45	since	since	SCONJ
fis-1230	19	46	usage	usage	NOUN
fis-1230	19	47	is	be	AUX
fis-1230	19	48	made	make	VERB
fis-1230	19	49	of	of	ADP
fis-1230	19	50	“	"	PUNCT
fis-1230	19	51	yield	yield	NOUN
fis-1230	19	52	surfaces	surface	NOUN
fis-1230	19	53	”	"	PUNCT
fis-1230	19	54	created	create	VERB
fis-1230	19	55	in	in	ADP
fis-1230	19	56	the	the	DET
fis-1230	19	57	stress	stress	NOUN
fis-1230	19	58	space	space	NOUN
fis-1230	19	59	during	during	ADP
fis-1230	19	60	the	the	DET
fis-1230	19	61	advancement	advancement	NOUN
fis-1230	19	62	of	of	ADP
fis-1230	19	63	the	the	DET
fis-1230	19	64	stress	stress	NOUN
fis-1230	19	65	history	history	NOUN
fis-1230	19	66	.	.	PUNCT
fis-1230	20	1	but	but	CCONJ
fis-1230	20	2	on	on	ADP
fis-1230	20	3	the	the	DET
fis-1230	20	4	other	other	ADJ
fis-1230	20	5	side	side	NOUN
fis-1230	20	6	,	,	PUNCT
fis-1230	20	7	the	the	DET
fis-1230	20	8	description	description	NOUN
fis-1230	20	9	remains	remain	VERB
fis-1230	20	10	here	here	ADV
fis-1230	20	11	merely	merely	ADV
fis-1230	20	12	in	in	ADP
fis-1230	20	13	the	the	DET
fis-1230	20	14	stress	stress	NOUN
fis-1230	20	15	space	space	NOUN
fis-1230	20	16	:	:	PUNCT
fis-1230	20	17	no	no	DET
fis-1230	20	18	explicit	explicit	ADJ
fis-1230	20	19	use	use	NOUN
fis-1230	20	20	of	of	ADP
fis-1230	20	21	the	the	DET
fis-1230	20	22	mesoscopic	mesoscopic	NOUN
fis-1230	20	23	plastic	plastic	NOUN
fis-1230	20	24	strain	strain	NOUN
fis-1230	20	25	is	be	AUX
fis-1230	20	26	made	make	VERB
fis-1230	20	27	,	,	PUNCT
fis-1230	20	28	but	but	CCONJ
fis-1230	20	29	the	the	DET
fis-1230	20	30	equivalent	equivalent	ADJ
fis-1230	20	31	fatigue	fatigue	NOUN
fis-1230	20	32	stress	stress	NOUN
fis-1230	20	33	is	be	AUX
fis-1230	20	34	calculated	calculate	VERB
fis-1230	20	35	directly	directly	ADV
fis-1230	20	36	on	on	ADP
fis-1230	20	37	each	each	DET
fis-1230	20	38	created	create	VERB
fis-1230	20	39	stress	stress	NOUN
fis-1230	20	40	cycle	cycle	NOUN
fis-1230	20	41	.	.	PUNCT
fis-1230	21	1	the	the	DET
fis-1230	21	2	yield	yield	NOUN
fis-1230	21	3	surfaces	surface	NOUN
fis-1230	21	4	used	use	VERB
fis-1230	21	5	in	in	ADP
fis-1230	21	6	the	the	DET
fis-1230	21	7	present	present	ADJ
fis-1230	21	8	approach	approach	NOUN
fis-1230	21	9	just	just	ADV
fis-1230	21	10	represent	represent	VERB
fis-1230	21	11	a	a	DET
fis-1230	21	12	way	way	NOUN
fis-1230	21	13	to	to	PART
fis-1230	21	14	describe	describe	VERB
fis-1230	21	15	at	at	ADP
fis-1230	21	16	the	the	DET
fis-1230	21	17	macroscopic	macroscopic	ADJ
fis-1230	21	18	level	level	NOUN
fis-1230	21	19	the	the	DET
fis-1230	21	20	underlying	underlie	VERB
fis-1230	21	21	phenomenon	phenomenon	NOUN
fis-1230	21	22	related	relate	VERB
fis-1230	21	23	to	to	ADP
fis-1230	21	24	the	the	DET
fis-1230	21	25	plasticity	plasticity	NOUN
fis-1230	21	26	arising	arise	VERB
fis-1230	21	27	at	at	ADP
fis-1230	21	28	a	a	DET
fis-1230	21	29	mesoscopic	mesoscopic	NOUN
fis-1230	21	30	level	level	NOUN
fis-1230	21	31	.	.	PUNCT
fis-1230	22	1	from	from	ADP
fis-1230	22	2	a	a	DET
fis-1230	22	3	more	more	ADV
fis-1230	22	4	general	general	ADJ
fis-1230	22	5	point	point	NOUN
fis-1230	22	6	of	of	ADP
fis-1230	22	7	view	view	NOUN
fis-1230	22	8	,	,	PUNCT
fis-1230	22	9	the	the	DET
fis-1230	22	10	present	present	ADJ
fis-1230	22	11	work	work	NOUN
fis-1230	22	12	follows	follow	VERB
fis-1230	22	13	the	the	DET
fis-1230	22	14	same	same	ADJ
fis-1230	22	15	scope	scope	NOUN
fis-1230	22	16	of	of	ADP
fis-1230	22	17	the	the	DET
fis-1230	22	18	initial	initial	ADJ
fis-1230	22	19	work	work	NOUN
fis-1230	22	20	of	of	ADP
fis-1230	22	21	jabbado	jabbado	NOUN
fis-1230	22	22	[	[	X
fis-1230	22	23	3	3	X
fis-1230	22	24	]	]	PUNCT
fis-1230	22	25	to	to	PART
fis-1230	22	26	extend	extend	VERB
fis-1230	22	27	the	the	DET
fis-1230	22	28	endurance	endurance	NOUN
fis-1230	22	29	criterion	criterion	NOUN
fis-1230	22	30	of	of	ADP
fis-1230	22	31	dang	dang	PROPN
fis-1230	22	32	van	van	PROPN
fis-1230	22	33	[	[	X
fis-1230	22	34	9	9	NUM
fis-1230	22	35	]	]	PUNCT
fis-1230	22	36	to	to	ADP
fis-1230	22	37	a	a	DET
fis-1230	22	38	finite	finite	ADJ
fis-1230	22	39	life	life	NOUN
fis-1230	22	40	assessment	assessment	NOUN
fis-1230	22	41	using	use	VERB
fis-1230	22	42	a	a	DET
fis-1230	22	43	continuous	continuous	ADJ
fis-1230	22	44	damage	damage	NOUN
fis-1230	22	45	evaluation	evaluation	NOUN
fis-1230	22	46	.	.	PUNCT
fis-1230	23	1	nevertheless	nevertheless	ADV
fis-1230	23	2	,	,	PUNCT
fis-1230	23	3	differently	differently	ADV
fis-1230	23	4	from	from	ADP
fis-1230	23	5	[	[	X
fis-1230	23	6	3	3	X
fis-1230	23	7	]	]	X
fis-1230	23	8	a	a	DET
fis-1230	23	9	notion	notion	NOUN
fis-1230	23	10	of	of	ADP
fis-1230	23	11	stress	stress	NOUN
fis-1230	23	12	cycle	cycle	NOUN
fis-1230	23	13	is	be	AUX
fis-1230	23	14	used	use	VERB
fis-1230	23	15	here	here	ADV
fis-1230	23	16	,	,	PUNCT
fis-1230	23	17	even	even	ADV
fis-1230	23	18	though	though	SCONJ
fis-1230	23	19	the	the	DET
fis-1230	23	20	cycles	cycle	NOUN
fis-1230	23	21	are	be	AUX
fis-1230	23	22	not	not	PART
fis-1230	23	23	counted	count	VERB
fis-1230	23	24	and	and	CCONJ
fis-1230	23	25	extracted	extract	VERB
fis-1230	23	26	from	from	ADP
fis-1230	23	27	the	the	DET
fis-1230	23	28	global	global	ADJ
fis-1230	23	29	sequence	sequence	NOUN
fis-1230	23	30	as	as	SCONJ
fis-1230	23	31	it	it	PRON
fis-1230	23	32	is	be	AUX
fis-1230	23	33	done	do	VERB
fis-1230	23	34	in	in	ADP
fis-1230	23	35	a	a	DET
fis-1230	23	36	rainflow	rainflow	NOUN
fis-1230	23	37	method	method	NOUN
fis-1230	23	38	(	(	PUNCT
fis-1230	23	39	see	see	VERB
fis-1230	24	1	e.g.	e.g.	ADV
fis-1230	24	2	[	[	X
fis-1230	24	3	1	1	NUM
fis-1230	24	4	]	]	PUNCT
fis-1230	24	5	)	)	PUNCT
fis-1230	25	1	but	but	CCONJ
fis-1230	25	2	they	they	PRON
fis-1230	25	3	are	be	AUX
fis-1230	25	4	simply	simply	ADV
fis-1230	25	5	created	create	VERB
fis-1230	25	6	and	and	CCONJ
fis-1230	25	7	updated	update	VERB
fis-1230	25	8	in	in	ADP
fis-1230	25	9	a	a	DET
fis-1230	25	10	continuous	continuous	ADJ
fis-1230	25	11	way	way	NOUN
fis-1230	25	12	while	while	SCONJ
fis-1230	25	13	the	the	DET
fis-1230	25	14	stress	stress	NOUN
fis-1230	25	15	history	history	NOUN
fis-1230	25	16	advances	advance	NOUN
fis-1230	25	17	.	.	PUNCT
fis-1230	26	1	this	this	DET
fis-1230	26	2	continuous	continuous	ADJ
fis-1230	26	3	damage	damage	NOUN
fis-1230	26	4	approach	approach	NOUN
fis-1230	26	5	has	have	VERB
fis-1230	26	6	the	the	DET
fis-1230	26	7	same	same	ADJ
fis-1230	26	8	viewpoint	viewpoint	NOUN
fis-1230	26	9	of	of	ADP
fis-1230	26	10	the	the	DET
fis-1230	26	11	cited	cite	VERB
fis-1230	26	12	work	work	NOUN
fis-1230	26	13	of	of	ADP
fis-1230	26	14	jabbado	jabbado	NOUN
fis-1230	26	15	[	[	X
fis-1230	26	16	3	3	NUM
fis-1230	26	17	]	]	PUNCT
fis-1230	26	18	or	or	CCONJ
fis-1230	26	19	for	for	ADP
fis-1230	26	20	example	example	NOUN
fis-1230	26	21	of	of	ADP
fis-1230	26	22	the	the	DET
fis-1230	26	23	methodology	methodology	NOUN
fis-1230	26	24	proposed	propose	VERB
fis-1230	26	25	by	by	ADP
fis-1230	26	26	stefanov	stefanov	PROPN
fis-1230	27	1	[	[	X
fis-1230	27	2	10	10	NUM
fis-1230	27	3	]	]	PUNCT
fis-1230	27	4	.	.	PUNCT
fis-1230	28	1	on	on	ADP
fis-1230	28	2	the	the	DET
fis-1230	28	3	other	other	ADJ
fis-1230	28	4	hand	hand	NOUN
fis-1230	28	5	,	,	PUNCT
fis-1230	28	6	the	the	DET
fis-1230	28	7	principle	principle	NOUN
fis-1230	28	8	to	to	PART
fis-1230	28	9	adapt	adapt	VERB
fis-1230	28	10	a	a	DET
fis-1230	28	11	multi	multi	ADJ
fis-1230	28	12	-	-	ADJ
fis-1230	28	13	surface	surface	ADJ
fis-1230	28	14	concept	concept	NOUN
fis-1230	28	15	to	to	ADP
fis-1230	28	16	fatigue	fatigue	NOUN
fis-1230	28	17	assessment	assessment	NOUN
fis-1230	28	18	by	by	ADP
fis-1230	28	19	creating	create	VERB
fis-1230	28	20	the	the	DET
fis-1230	28	21	stress	stress	NOUN
fis-1230	28	22	cycles	cycle	NOUN
fis-1230	28	23	during	during	ADP
fis-1230	28	24	the	the	DET
fis-1230	28	25	stress	stress	NOUN
fis-1230	28	26	history	history	NOUN
fis-1230	28	27	advancement	advancement	NOUN
fis-1230	28	28	has	have	VERB
fis-1230	28	29	some	some	DET
fis-1230	28	30	similarities	similarity	NOUN
fis-1230	28	31	with	with	ADP
fis-1230	28	32	the	the	DET
fis-1230	28	33	work	work	NOUN
fis-1230	28	34	of	of	ADP
fis-1230	28	35	herbland	herbland	NOUN
fis-1230	29	1	[	[	X
fis-1230	29	2	11	11	NUM
fis-1230	29	3	]	]	PUNCT
fis-1230	29	4	.	.	PUNCT
fis-1230	30	1	construction	construction	NOUN
fis-1230	30	2	of	of	ADP
fis-1230	30	3	the	the	DET
fis-1230	30	4	stress	stress	NOUN
fis-1230	30	5	cycles	cycle	NOUN
fis-1230	30	6	he	he	PRON
fis-1230	30	7	basic	basic	ADJ
fis-1230	30	8	ingredient	ingredient	NOUN
fis-1230	30	9	of	of	ADP
fis-1230	30	10	the	the	DET
fis-1230	30	11	present	present	ADJ
fis-1230	30	12	approach	approach	NOUN
fis-1230	30	13	is	be	AUX
fis-1230	30	14	the	the	DET
fis-1230	30	15	geometrical	geometrical	ADJ
fis-1230	30	16	creation	creation	NOUN
fis-1230	30	17	of	of	ADP
fis-1230	30	18	closed	closed	ADJ
fis-1230	30	19	surfaces	surface	NOUN
fis-1230	30	20	in	in	ADP
fis-1230	30	21	the	the	DET
fis-1230	30	22	stress	stress	NOUN
fis-1230	30	23	space	space	NOUN
fis-1230	30	24	while	while	SCONJ
fis-1230	30	25	the	the	DET
fis-1230	30	26	stress	stress	NOUN
fis-1230	30	27	point	point	NOUN
fis-1230	30	28	is	be	AUX
fis-1230	30	29	moving	move	VERB
fis-1230	30	30	on	on	ADP
fis-1230	30	31	its	its	PRON
fis-1230	30	32	path	path	NOUN
fis-1230	30	33	,	,	PUNCT
fis-1230	30	34	in	in	ADP
fis-1230	30	35	a	a	DET
fis-1230	30	36	way	way	NOUN
fis-1230	30	37	identical	identical	ADJ
fis-1230	30	38	to	to	ADP
fis-1230	30	39	the	the	DET
fis-1230	30	40	classical	classical	ADJ
fis-1230	30	41	plasticity	plasticity	NOUN
fis-1230	30	42	theory	theory	NOUN
fis-1230	30	43	(	(	PUNCT
fis-1230	30	44	see	see	VERB
fis-1230	30	45	e.g.	e.g.	ADV
fis-1230	30	46	[	[	X
fis-1230	30	47	12	12	NUM
fis-1230	30	48	,	,	PUNCT
fis-1230	30	49	13	13	NUM
fis-1230	30	50	]	]	NUM
fis-1230	30	51	)	)	PUNCT
fis-1230	30	52	.	.	PUNCT
fis-1230	31	1	each	each	DET
fis-1230	31	2	created	create	VERB
fis-1230	31	3	yield	yield	NOUN
fis-1230	31	4	surface	surface	NOUN
fis-1230	31	5	is	be	AUX
fis-1230	31	6	afterward	afterward	ADV
fis-1230	31	7	associated	associate	VERB
fis-1230	31	8	to	to	ADP
fis-1230	31	9	an	an	DET
fis-1230	31	10	amount	amount	NOUN
fis-1230	31	11	of	of	ADP
fis-1230	31	12	fatigue	fatigue	NOUN
fis-1230	31	13	damage	damage	NOUN
fis-1230	31	14	,	,	PUNCT
fis-1230	31	15	evaluated	evaluate	VERB
fis-1230	31	16	using	use	VERB
fis-1230	31	17	the	the	DET
fis-1230	31	18	basic	basic	ADJ
fis-1230	31	19	fatigue	fatigue	NOUN
fis-1230	31	20	material	material	NOUN
fis-1230	31	21	properties	property	NOUN
fis-1230	31	22	.	.	PUNCT
fis-1230	32	1	this	this	DET
fis-1230	32	2	usage	usage	NOUN
fis-1230	32	3	of	of	ADP
fis-1230	32	4	the	the	DET
fis-1230	32	5	yield	yield	NOUN
fis-1230	32	6	surfaces	surface	NOUN
fis-1230	32	7	is	be	AUX
fis-1230	32	8	analogous	analogous	ADJ
fis-1230	32	9	to	to	ADP
fis-1230	32	10	what	what	PRON
fis-1230	32	11	is	be	AUX
fis-1230	32	12	done	do	VERB
fis-1230	32	13	for	for	ADP
fis-1230	32	14	the	the	DET
fis-1230	32	15	stress	stress	NOUN
fis-1230	32	16	cycles	cycle	NOUN
fis-1230	32	17	after	after	ADP
fis-1230	32	18	their	their	PRON
fis-1230	32	19	extraction	extraction	NOUN
fis-1230	32	20	by	by	ADP
fis-1230	32	21	a	a	DET
fis-1230	32	22	classical	classical	ADJ
fis-1230	32	23	cycle	cycle	NOUN
fis-1230	32	24	-	-	PUNCT
fis-1230	32	25	counting	counting	NOUN
fis-1230	32	26	,	,	PUNCT
fis-1230	32	27	like	like	ADP
fis-1230	32	28	the	the	DET
fis-1230	32	29	rainflow	rainflow	NOUN
fis-1230	32	30	method	method	NOUN
fis-1230	32	31	.	.	PUNCT
fis-1230	33	1	for	for	ADP
fis-1230	33	2	this	this	DET
fis-1230	33	3	reason	reason	NOUN
fis-1230	33	4	,	,	PUNCT
fis-1230	33	5	the	the	DET
fis-1230	33	6	terms	term	NOUN
fis-1230	33	7	“	"	PUNCT
fis-1230	33	8	yield	yield	NOUN
fis-1230	33	9	surface	surface	NOUN
fis-1230	33	10	”	"	PUNCT
fis-1230	33	11	and	and	CCONJ
fis-1230	33	12	“	"	PUNCT
fis-1230	33	13	stress	stress	NOUN
fis-1230	33	14	cycle	cycle	NOUN
fis-1230	33	15	”	"	PUNCT
fis-1230	33	16	will	will	AUX
fis-1230	33	17	be	be	AUX
fis-1230	33	18	used	use	VERB
fis-1230	33	19	hereafter	hereafter	ADV
fis-1230	33	20	as	as	ADP
fis-1230	33	21	synonyms	synonym	NOUN
fis-1230	33	22	.	.	PUNCT
fis-1230	34	1	the	the	DET
fis-1230	34	2	rules	rule	NOUN
fis-1230	34	3	described	describe	VERB
fis-1230	34	4	here	here	ADV
fis-1230	34	5	below	below	ADP
fis-1230	34	6	resume	resume	VERB
fis-1230	34	7	the	the	DET
fis-1230	34	8	stress	stress	NOUN
fis-1230	34	9	cycles	cycle	NOUN
fis-1230	34	10	creation	creation	NOUN
fis-1230	34	11	.	.	PUNCT
fis-1230	35	1			VERB
fis-1230	35	2	the	the	DET
fis-1230	35	3	equation	equation	NOUN
fis-1230	35	4	defining	define	VERB
fis-1230	35	5	a	a	DET
fis-1230	35	6	yield	yield	NOUN
fis-1230	35	7	surface	surface	NOUN
fis-1230	35	8	in	in	ADP
fis-1230	35	9	the	the	DET
fis-1230	35	10	stress	stress	NOUN
fis-1230	35	11	space	space	NOUN
fis-1230	35	12	has	have	VERB
fis-1230	35	13	the	the	DET
fis-1230	35	14	form	form	NOUN
fis-1230	35	15	fp(	fp(	ADV
fis-1230	35	16	–	–	PUNCT
fis-1230	35	17	xc	xc	X
fis-1230	35	18	)	)	PUNCT
fis-1230	35	19	=	=	SYM
fis-1230	35	20	y	y	PROPN
fis-1230	35	21	(	(	PUNCT
fis-1230	35	22	1	1	NUM
fis-1230	35	23	)	)	PUNCT
fis-1230	35	24	where	where	SCONJ
fis-1230	35	25	fp	fp	PROPN
fis-1230	35	26	is	be	AUX
fis-1230	35	27	a	a	DET
fis-1230	35	28	scalar	scalar	ADJ
fis-1230	35	29	function	function	NOUN
fis-1230	35	30	that	that	SCONJ
fis-1230	35	31	in	in	ADP
fis-1230	35	32	accordance	accordance	NOUN
fis-1230	35	33	with	with	ADP
fis-1230	35	34	the	the	DET
fis-1230	35	35	hypothesis	hypothesis	NOUN
fis-1230	35	36	used	use	VERB
fis-1230	35	37	by	by	ADP
fis-1230	35	38	jabbado	jabbado	NOUN
fis-1230	35	39	[	[	X
fis-1230	35	40	3	3	NUM
fis-1230	35	41	]	]	PUNCT
fis-1230	35	42	and	and	CCONJ
fis-1230	35	43	by	by	ADP
fis-1230	35	44	many	many	ADJ
fis-1230	35	45	classical	classical	ADJ
fis-1230	35	46	multiaxial	multiaxial	ADJ
fis-1230	35	47	criteria	criterion	NOUN
fis-1230	35	48	(	(	PUNCT
fis-1230	35	49	see	see	VERB
fis-1230	35	50	[	[	X
fis-1230	35	51	1	1	NUM
fis-1230	35	52	,	,	PUNCT
fis-1230	35	53	4	4	NUM
fis-1230	35	54	]	]	PUNCT
fis-1230	35	55	)	)	PUNCT
fis-1230	35	56	takes	take	VERB
fis-1230	35	57	the	the	DET
fis-1230	35	58	von	von	PROPN
fis-1230	35	59	mises	mises	PROPN
fis-1230	35	60	equivalent	equivalent	ADJ
fis-1230	35	61	stress	stress	NOUN
fis-1230	35	62	:	:	PUNCT
fis-1230	35	63	fp(	fp(	NOUN
fis-1230	35	64	)	)	PUNCT
fis-1230	36	1	=	=	SYM
fis-1230	37	1			NOUN
fis-1230	37	2			SYM
fis-1230	37	3			NOUN
fis-1230	37	4			SYM
fis-1230	37	5			NOUN
fis-1230	37	6	2	2	ADJ
fis-1230	37	7	2	2	NUM
fis-1230	37	8	21	21	NUM
fis-1230	37	9	2	2	NUM
fis-1230	37	10	[	[	PUNCT
fis-1230	37	11	]	]	X
fis-1230	37	12	i	i	PROPN
fis-1230	37	13	ii	ii	PROPN
fis-1230	37	14	ii	ii	PROPN
fis-1230	37	15	iii	iii	PROPN
fis-1230	37	16	iii	iii	PROPN
fis-1230	37	17	i	i	PROPN
fis-1230	37	18			PROPN
fis-1230	37	19			X
fis-1230	37	20			X
fis-1230	37	21			PROPN
fis-1230	37	22			PROPN
fis-1230	37	23			ADV
fis-1230	37	24			PROPN
fis-1230	37	25			VERB
fis-1230	37	26			NOUN
fis-1230	37	27	(	(	PUNCT
fis-1230	37	28	2	2	NUM
fis-1230	37	29	)	)	PUNCT
fis-1230	37	30	where	where	SCONJ
fis-1230	37	31	i	i	PROPN
fis-1230	37	32	,	,	PUNCT
fis-1230	37	33	ii	ii	NOUN
fis-1230	37	34	,	,	PUNCT
fis-1230	37	35	iii	iii	NOUN
fis-1230	37	36	are	be	AUX
fis-1230	37	37	the	the	DET
fis-1230	37	38	principal	principal	ADJ
fis-1230	37	39	stresses	stress	NOUN
fis-1230	37	40	of	of	ADP
fis-1230	37	41	.	.	PROPN
fis-1230	37	42	let	let	VERB
fis-1230	37	43	us	we	PRON
fis-1230	37	44	note	note	VERB
fis-1230	37	45	explicitly	explicitly	ADV
fis-1230	37	46	that	that	SCONJ
fis-1230	37	47	fp	fp	PROPN
fis-1230	37	48	is	be	AUX
fis-1230	37	49	function	function	NOUN
fis-1230	37	50	of	of	ADP
fis-1230	37	51	the	the	DET
fis-1230	37	52	only	only	ADJ
fis-1230	37	53	deviatoric	deviatoric	ADJ
fis-1230	37	54	part	part	NOUN
fis-1230	37	55	s	s	NOUN
fis-1230	37	56	of	of	ADP
fis-1230	37	57	the	the	DET
fis-1230	37	58	stress	stress	NOUN
fis-1230	37	59	tensor	tensor	NOUN
fis-1230	37	60			NOUN
fis-1230	37	61	:	:	PUNCT
fis-1230	37	62	fp(	fp(	ADJ
fis-1230	37	63	)	)	PUNCT
fis-1230	37	64	=	=	SYM
fis-1230	37	65	fp(s	fp(s	X
fis-1230	37	66	)	)	PUNCT
fis-1230	37	67	(	(	PUNCT
fis-1230	37	68	3	3	X
fis-1230	37	69	)	)	PUNCT
fis-1230	37	70	s	s	PART
fis-1230	37	71	=	=	X
fis-1230	37	72	dev	dev	X
fis-1230	37	73			PROPN
fis-1230	37	74	=	=	SYM
fis-1230	37	75			X
fis-1230	37	76	ph	ph	NOUN
fis-1230	37	77	i	i	PRON
fis-1230	37	78	where	where	SCONJ
fis-1230	37	79	ph	ph	NOUN
fis-1230	37	80	=	=	NOUN
fis-1230	37	81	tr(	tr(	NUM
fis-1230	37	82	)	)	PUNCT
fis-1230	37	83	/	/	SYM
fis-1230	37	84	3	3	NUM
fis-1230	37	85	(	(	PUNCT
fis-1230	37	86	4	4	NUM
fis-1230	37	87	)	)	PUNCT
fis-1230	37	88	hence	hence	ADV
fis-1230	37	89	each	each	DET
fis-1230	37	90	yield	yield	NOUN
fis-1230	37	91	surface	surface	NOUN
fis-1230	37	92	is	be	AUX
fis-1230	37	93	a	a	DET
fis-1230	37	94	von	von	PROPN
fis-1230	37	95	mises	mises	PROPN
fis-1230	37	96	hypersphere	hypersphere	PROPN
fis-1230	37	97	fully	fully	ADV
fis-1230	37	98	described	describe	VERB
fis-1230	37	99	by	by	ADP
fis-1230	37	100	its	its	PRON
fis-1230	37	101	centre	centre	NOUN
fis-1230	37	102	xc	xc	PROPN
fis-1230	37	103	(	(	PUNCT
fis-1230	37	104	back	back	ADJ
fis-1230	37	105	-	-	PUNCT
fis-1230	37	106	stress	stress	NOUN
fis-1230	37	107	tensor	tensor	NOUN
fis-1230	37	108	)	)	PUNCT
fis-1230	37	109	and	and	CCONJ
fis-1230	37	110	its	its	PRON
fis-1230	37	111	size	size	NOUN
fis-1230	37	112	y	y	PROPN
fis-1230	37	113	.	.	PUNCT
fis-1230	38	1			PROPN
fis-1230	38	2	in	in	ADP
fis-1230	38	3	the	the	DET
fis-1230	38	4	same	same	ADJ
fis-1230	38	5	way	way	NOUN
fis-1230	38	6	of	of	ADP
fis-1230	38	7	a	a	DET
fis-1230	38	8	classical	classical	ADJ
fis-1230	38	9	plasticity	plasticity	NOUN
fis-1230	38	10	criterion	criterion	NOUN
fis-1230	38	11	,	,	PUNCT
fis-1230	38	12	when	when	SCONJ
fis-1230	38	13	the	the	DET
fis-1230	38	14	current	current	ADJ
fis-1230	38	15	stress	stress	NOUN
fis-1230	38	16	state	state	NOUN
fis-1230	38	17	moves	move	NOUN
fis-1230	38	18	along	along	ADP
fis-1230	38	19	the	the	DET
fis-1230	38	20	stress	stress	NOUN
fis-1230	38	21	history	history	NOUN
fis-1230	38	22	a	a	DET
fis-1230	38	23	yield	yield	NOUN
fis-1230	38	24	surface	surface	NOUN
fis-1230	38	25	is	be	AUX
fis-1230	38	26	hardened	harden	VERB
fis-1230	38	27	if	if	SCONJ
fis-1230	38	28	the	the	DET
fis-1230	38	29	stress	stress	NOUN
fis-1230	38	30	lies	lie	VERB
fis-1230	38	31	on	on	ADP
fis-1230	38	32	the	the	DET
fis-1230	38	33	surface	surface	NOUN
fis-1230	38	34	itself	itself	PRON
fis-1230	38	35	and	and	CCONJ
fis-1230	38	36	is	be	AUX
fis-1230	38	37	moving	move	VERB
fis-1230	38	38	outwards	outward	NOUN
fis-1230	38	39	.	.	PUNCT
fis-1230	39	1	these	these	DET
fis-1230	39	2	conditions	condition	NOUN
fis-1230	39	3	will	will	AUX
fis-1230	39	4	be	be	AUX
fis-1230	39	5	integrated	integrate	VERB
fis-1230	39	6	in	in	ADP
fis-1230	39	7	the	the	DET
fis-1230	39	8	eqs	eqs	PROPN
fis-1230	39	9	.	.	PUNCT
fis-1230	40	1	(	(	PUNCT
fis-1230	40	2	5.a	5.a	NUM
fis-1230	40	3	)	)	PUNCT
fis-1230	40	4	,	,	PUNCT
fis-1230	40	5	(	(	PUNCT
fis-1230	40	6	5.b	5.b	NUM
fis-1230	40	7	)	)	PUNCT
fis-1230	40	8	and	and	CCONJ
fis-1230	40	9	(	(	PUNCT
fis-1230	40	10	12.a	12.a	NUM
fis-1230	40	11	)	)	PUNCT
fis-1230	40	12	,	,	PUNCT
fis-1230	40	13	(	(	PUNCT
fis-1230	40	14	12.b	12.b	NUM
fis-1230	40	15	)	)	PUNCT
fis-1230	40	16	written	write	VERB
fis-1230	40	17	below	below	ADV
fis-1230	40	18	.	.	PUNCT
fis-1230	41	1	as	as	ADP
fis-1230	41	2	a	a	DET
fis-1230	41	3	consequence	consequence	NOUN
fis-1230	41	4	the	the	DET
fis-1230	41	5	stress	stress	NOUN
fis-1230	41	6	point	point	NOUN
fis-1230	41	7	will	will	AUX
fis-1230	41	8	be	be	AUX
fis-1230	41	9	always	always	ADV
fis-1230	41	10	inside	inside	ADP
fis-1230	41	11	or	or	CCONJ
fis-1230	41	12	exactly	exactly	ADV
fis-1230	41	13	on	on	ADV
fis-1230	41	14	–	–	PUNCT
fis-1230	41	15	a	a	DET
fis-1230	41	16	yield	yield	NOUN
fis-1230	41	17	surface	surface	NOUN
fis-1230	41	18	,	,	PUNCT
fis-1230	41	19	but	but	CCONJ
fis-1230	41	20	never	never	ADV
fis-1230	41	21	outside	outside	ADV
fis-1230	41	22	.	.	PUNCT
fis-1230	42	1			VERB
fis-1230	42	2	a	a	DET
fis-1230	42	3	multi	multi	ADJ
fis-1230	42	4	-	-	ADJ
fis-1230	42	5	surface	surface	ADJ
fis-1230	42	6	model	model	NOUN
fis-1230	42	7	is	be	AUX
fis-1230	42	8	used	use	VERB
fis-1230	42	9	,	,	PUNCT
fis-1230	42	10	inspired	inspire	VERB
fis-1230	42	11	to	to	ADP
fis-1230	42	12	the	the	DET
fis-1230	42	13	one	one	NOUN
fis-1230	42	14	proposed	propose	VERB
fis-1230	42	15	by	by	ADP
fis-1230	42	16	mroz	mroz	ADJ
fis-1230	42	17	and	and	CCONJ
fis-1230	42	18	described	describe	VERB
fis-1230	42	19	e.g.	e.g.	ADV
fis-1230	42	20	in	in	ADP
fis-1230	42	21	[	[	X
fis-1230	42	22	12	12	NUM
fis-1230	42	23	]	]	PUNCT
fis-1230	42	24	.	.	PUNCT
fis-1230	43	1	in	in	ADP
fis-1230	43	2	such	such	DET
fis-1230	43	3	a	a	DET
fis-1230	43	4	model	model	NOUN
fis-1230	43	5	,	,	PUNCT
fis-1230	43	6	more	more	ADJ
fis-1230	43	7	than	than	ADP
fis-1230	43	8	one	one	NUM
fis-1230	43	9	yield	yield	NOUN
fis-1230	43	10	surface	surface	NOUN
fis-1230	43	11	can	can	AUX
fis-1230	43	12	exist	exist	VERB
fis-1230	43	13	at	at	ADP
fis-1230	43	14	the	the	DET
fis-1230	43	15	same	same	ADJ
fis-1230	43	16	time	time	NOUN
fis-1230	43	17	.	.	PUNCT
fis-1230	44	1	however	however	ADV
fis-1230	44	2	a	a	DET
fis-1230	44	3	significant	significant	ADJ
fis-1230	44	4	dissimilarity	dissimilarity	NOUN
fis-1230	44	5	with	with	ADP
fis-1230	44	6	the	the	DET
fis-1230	44	7	concept	concept	NOUN
fis-1230	44	8	of	of	ADP
fis-1230	44	9	mroz	mroz	ADJ
fis-1230	44	10	is	be	AUX
fis-1230	44	11	that	that	SCONJ
fis-1230	44	12	intersections	intersection	NOUN
fis-1230	44	13	between	between	ADP
fis-1230	44	14	surfaces	surface	NOUN
fis-1230	44	15	are	be	AUX
fis-1230	44	16	allowed	allow	VERB
fis-1230	44	17	in	in	ADP
fis-1230	44	18	the	the	DET
fis-1230	44	19	present	present	ADJ
fis-1230	44	20	approach	approach	NOUN
fis-1230	44	21	.	.	PUNCT
fis-1230	45	1	as	as	ADP
fis-1230	45	2	a	a	DET
fis-1230	45	3	consequence	consequence	NOUN
fis-1230	45	4	the	the	DET
fis-1230	45	5	existing	exist	VERB
fis-1230	45	6	surfaces	surface	NOUN
fis-1230	45	7	are	be	AUX
fis-1230	45	8	not	not	PART
fis-1230	45	9	necessarily	necessarily	ADV
fis-1230	45	10	all	all	PRON
fis-1230	45	11	nested	nested	ADJ
fis-1230	45	12	inside	inside	ADP
fis-1230	45	13	each	each	DET
fis-1230	45	14	other	other	ADJ
fis-1230	45	15	:	:	PUNCT
fis-1230	45	16	this	this	DET
fis-1230	45	17	issue	issue	NOUN
fis-1230	45	18	in	in	ADP
fis-1230	45	19	the	the	DET
fis-1230	45	20	frame	frame	NOUN
fis-1230	45	21	of	of	ADP
fis-1230	45	22	multi	multi	ADJ
fis-1230	45	23	-	-	ADJ
fis-1230	45	24	surface	surface	ADJ
fis-1230	45	25	plasticity	plasticity	NOUN
fis-1230	45	26	models	model	NOUN
fis-1230	45	27	is	be	AUX
fis-1230	45	28	discussed	discuss	VERB
fis-1230	45	29	for	for	ADP
fis-1230	45	30	instance	instance	NOUN
fis-1230	45	31	in	in	ADP
fis-1230	45	32	ref	ref	NOUN
fis-1230	45	33	.	.	PUNCT
fis-1230	46	1	[	[	X
fis-1230	46	2	14	14	NUM
fis-1230	46	3	]	]	PUNCT
fis-1230	46	4	.	.	PUNCT
fis-1230	47	1			VERB
fis-1230	47	2	the	the	DET
fis-1230	47	3	following	follow	VERB
fis-1230	47	4	hardening	harden	VERB
fis-1230	47	5	rules	rule	NOUN
fis-1230	47	6	are	be	AUX
fis-1230	47	7	used	use	VERB
fis-1230	47	8	.	.	PUNCT
fis-1230	48	1	when	when	SCONJ
fis-1230	48	2	the	the	DET
fis-1230	48	3	deviatoric	deviatoric	ADJ
fis-1230	48	4	part	part	NOUN
fis-1230	48	5	s	s	X
fis-1230	48	6	of	of	ADP
fis-1230	48	7	the	the	DET
fis-1230	48	8	stress	stress	NOUN
fis-1230	48	9	tensor	tensor	NOUN
fis-1230	48	10			PROPN
fis-1230	48	11	has	have	VERB
fis-1230	48	12	an	an	DET
fis-1230	48	13	increment	increment	NOUN
fis-1230	48	14	ds	ds	NOUN
fis-1230	48	15	,	,	PUNCT
fis-1230	48	16	among	among	ADP
fis-1230	48	17	the	the	DET
fis-1230	48	18	surfaces	surface	NOUN
fis-1230	48	19	that	that	PRON
fis-1230	48	20	are	be	AUX
fis-1230	48	21	hardened	harden	VERB
fis-1230	48	22	at	at	ADP
fis-1230	48	23	a	a	DET
fis-1230	48	24	given	give	VERB
fis-1230	48	25	instant	instant	NOUN
fis-1230	48	26	the	the	DET
fis-1230	48	27	one	one	NOUN
fis-1230	48	28	having	have	VERB
fis-1230	48	29	maximum	maximum	PROPN
fis-1230	48	30	y	y	PROPN
fis-1230	48	31	is	be	AUX
fis-1230	48	32	hardened	harden	VERB
fis-1230	48	33	by	by	ADP
fis-1230	48	34	the	the	DET
fis-1230	48	35	following	following	ADJ
fis-1230	48	36	superposed	superpose	VERB
fis-1230	48	37	isotropic	isotropic	ADJ
fis-1230	48	38	/	/	SYM
fis-1230	48	39	kinematic	kinematic	ADJ
fis-1230	48	40	hardening	harden	VERB
fis-1230	48	41	law	law	NOUN
fis-1230	48	42	:	:	PUNCT
fis-1230	48	43	t	t	PROPN
fis-1230	48	44	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-1230	48	45	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ
fis-1230	48	46	m.	m.	NOUN
fis-1230	48	47	malnati	malnati	PROPN
fis-1230	48	48	,	,	PUNCT
fis-1230	48	49	frattura	frattura	PROPN
fis-1230	48	50	ed	ed	PROPN
fis-1230	48	51	integrità	integrità	PROPN
fis-1230	48	52	strutturale	strutturale	PROPN
fis-1230	48	53	,	,	PUNCT
fis-1230	48	54	28	28	NUM
fis-1230	48	55	(	(	PUNCT
fis-1230	48	56	2014	2014	NUM
fis-1230	48	57	)	)	PUNCT
fis-1230	48	58	12	12	NUM
fis-1230	48	59	-	-	SYM
fis-1230	48	60	18	18	NUM
fis-1230	48	61	;	;	PUNCT
fis-1230	48	62	doi	doi	NOUN
fis-1230	48	63	:	:	PUNCT
fis-1230	48	64	10.3221	10.3221	NUM
fis-1230	48	65	/	/	SYM
fis-1230	48	66	igf	igf	PROPN
fis-1230	48	67	-	-	ADJ
fis-1230	48	68	esis.28.02	esis.28.02	ADJ
fis-1230	48	69	14	14	NUM
fis-1230	48	70	dxc	dxc	PROPN
fis-1230	48	71	=	=	SYM
fis-1230	48	72	1	1	NUM
fis-1230	48	73	2	2	NUM
fis-1230	48	74	h(p	h(p	NOUN
fis-1230	48	75	)	)	PUNCT
fis-1230	49	1	<	<	X
fis-1230	49	2	ds	ds	X
fis-1230	49	3	:	:	PUNCT
fis-1230	49	4	n	n	CCONJ
fis-1230	49	5	>	>	X
fis-1230	49	6	n	n	X
fis-1230	49	7	(	(	PUNCT
fis-1230	49	8	5.a	5.a	NUM
fis-1230	49	9	)	)	PUNCT
fis-1230	49	10	dy	dy	NOUN
fis-1230	49	11	=	=	SYM
fis-1230	49	12	1	1	NUM
fis-1230	49	13	2	2	NUM
fis-1230	49	14	h(p	h(p	NOUN
fis-1230	49	15	)	)	PUNCT
fis-1230	49	16	2	2	NUM
fis-1230	49	17	3	3	NUM
fis-1230	49	18	<	<	X
fis-1230	49	19	ds	ds	X
fis-1230	49	20	:	:	PUNCT
fis-1230	49	21	n	n	CCONJ
fis-1230	49	22	>	>	X
fis-1230	49	23	(	(	PUNCT
fis-1230	49	24	5.b	5.b	NUM
fis-1230	49	25	)	)	PUNCT
fis-1230	49	26	where	where	SCONJ
fis-1230	49	27	:	:	PUNCT
fis-1230	49	28	h(x	h(x	PROPN
fis-1230	49	29	)	)	PUNCT
fis-1230	49	30	=	=	PUNCT
fis-1230	49	31	1	1	NUM
fis-1230	49	32	if	if	SCONJ
fis-1230	49	33	x	x	PROPN
fis-1230	49	34	≥	≥	NOUN
fis-1230	49	35	0	0	NUM
fis-1230	49	36	,	,	PUNCT
fis-1230	49	37	h(x	h(x	PROPN
fis-1230	49	38	)	)	PUNCT
fis-1230	50	1	=	=	PUNCT
fis-1230	50	2	0	0	PUNCT
fis-1230	51	1	if	if	SCONJ
fis-1230	51	2	x	x	X
fis-1230	51	3	<	<	X
fis-1230	51	4	0	0	X
fis-1230	51	5	(	(	PUNCT
fis-1230	51	6	6	6	NUM
fis-1230	51	7	)	)	PUNCT
fis-1230	51	8	<	<	X
fis-1230	51	9	x	x	X
fis-1230	51	10	>	>	X
fis-1230	51	11	=	=	PUNCT
fis-1230	51	12	x	x	SYM
fis-1230	51	13	h(x	h(x	PROPN
fis-1230	51	14	)	)	PUNCT
fis-1230	51	15	i.e.	i.e.	X
fis-1230	51	16	<	<	X
fis-1230	51	17	x	x	X
fis-1230	51	18	>	>	X
fis-1230	51	19	=	=	PUNCT
fis-1230	51	20	x	x	SYM
fis-1230	51	21	if	if	SCONJ
fis-1230	51	22	x	x	X
fis-1230	51	23	≥	≥	NOUN
fis-1230	51	24	0	0	NUM
fis-1230	51	25	,	,	PUNCT
fis-1230	51	26	<	<	X
fis-1230	51	27	x	x	X
fis-1230	51	28	>	>	X
fis-1230	51	29	=	=	PUNCT
fis-1230	51	30	0	0	PUNCT
fis-1230	52	1	if	if	SCONJ
fis-1230	52	2	x	x	X
fis-1230	52	3	<	<	X
fis-1230	52	4	0	0	X
fis-1230	52	5	(	(	PUNCT
fis-1230	52	6	7	7	NUM
fis-1230	52	7	)	)	PUNCT
fis-1230	52	8			X
fis-1230	52	9	p(s	p(s	ADV
fis-1230	52	10	;	;	PUNCT
fis-1230	52	11	xc	xc	PROPN
fis-1230	52	12	,	,	PUNCT
fis-1230	52	13	y	y	PROPN
fis-1230	52	14	)	)	PUNCT
fis-1230	52	15	=	=	SYM
fis-1230	52	16	fp(s	fp(s	X
fis-1230	52	17	–	–	PUNCT
fis-1230	52	18	xc	xc	PROPN
fis-1230	52	19	)	)	PUNCT
fis-1230	52	20	y	y	PROPN
fis-1230	52	21	(	(	PUNCT
fis-1230	52	22	8)	8)	NUM
fis-1230	52	23	and	and	CCONJ
fis-1230	52	24	n	n	NOUN
fis-1230	52	25	is	be	AUX
fis-1230	52	26	the	the	DET
fis-1230	52	27	local	local	ADJ
fis-1230	52	28	outward	outward	ADJ
fis-1230	52	29	vector	vector	NOUN
fis-1230	52	30	normal	normal	ADJ
fis-1230	52	31	to	to	ADP
fis-1230	52	32	the	the	DET
fis-1230	52	33	surface	surface	NOUN
fis-1230	52	34	in	in	ADP
fis-1230	52	35	the	the	DET
fis-1230	52	36	deviatoric	deviatoric	ADJ
fis-1230	52	37	stress	stress	NOUN
fis-1230	52	38	space	space	NOUN
fis-1230	52	39	,	,	PUNCT
fis-1230	52	40	having	have	VERB
fis-1230	52	41	unit	unit	NOUN
fis-1230	52	42	length	length	NOUN
fis-1230	52	43	in	in	ADP
fis-1230	52	44	the	the	DET
fis-1230	52	45	following	follow	VERB
fis-1230	52	46	sense	sense	NOUN
fis-1230	52	47	:	:	PUNCT
fis-1230	52	48	n	n	X
fis-1230	52	49	:	:	PUNCT
fis-1230	52	50	n	n	X
fis-1230	52	51	=	=	SYM
fis-1230	52	52	1	1	NUM
fis-1230	52	53	(	(	PUNCT
fis-1230	52	54	9	9	NUM
fis-1230	52	55	)	)	PUNCT
fis-1230	52	56	the	the	DET
fis-1230	52	57	symbol	symbol	NOUN
fis-1230	52	58	:	:	PUNCT
fis-1230	52	59	in	in	ADP
fis-1230	52	60	eqs	eqs	PROPN
fis-1230	52	61	.	.	PUNCT
fis-1230	53	1	(	(	PUNCT
fis-1230	53	2	5.a	5.a	NUM
fis-1230	53	3	)	)	PUNCT
fis-1230	53	4	,	,	PUNCT
fis-1230	53	5	(	(	PUNCT
fis-1230	53	6	5.b	5.b	NUM
fis-1230	53	7	)	)	PUNCT
fis-1230	53	8	and	and	CCONJ
fis-1230	53	9	(	(	PUNCT
fis-1230	53	10	9	9	X
fis-1230	53	11	)	)	PUNCT
fis-1230	53	12	designates	designate	VERB
fis-1230	53	13	the	the	DET
fis-1230	53	14	following	follow	VERB
fis-1230	53	15	scalar	scalar	ADJ
fis-1230	53	16	product	product	NOUN
fis-1230	53	17	in	in	ADP
fis-1230	53	18	the	the	DET
fis-1230	53	19	stress	stress	NOUN
fis-1230	53	20	space	space	NOUN
fis-1230	53	21	,	,	PUNCT
fis-1230	53	22	between	between	ADP
fis-1230	53	23	two	two	NUM
fis-1230	53	24	tensors	tensor	NOUN
fis-1230	53	25	sa	sa	PROPN
fis-1230	53	26	,	,	PUNCT
fis-1230	53	27	sb	sb	PROPN
fis-1230	53	28	:	:	PUNCT
fis-1230	53	29	sa	sa	PROPN
fis-1230	53	30	:	:	PUNCT
fis-1230	54	1	sb	sb	PROPN
fis-1230	54	2	=	=	SYM
fis-1230	54	3	3	3	NUM
fis-1230	54	4	aij	aij	PROPN
fis-1230	54	5	bij	bij	NOUN
fis-1230	54	6	i	i	PRON
fis-1230	54	7	,	,	PUNCT
fis-1230	54	8	j	j	PROPN
fis-1230	54	9	1	1	NUM
fis-1230	54	10	s	s	NOUN
fis-1230	54	11	s	s	PART
fis-1230	54	12			ADJ
fis-1230	54	13			X
fis-1230	54	14	(	(	PUNCT
fis-1230	54	15	10	10	NUM
fis-1230	54	16	)	)	PUNCT
fis-1230	54	17	since	since	SCONJ
fis-1230	54	18	von	von	PROPN
fis-1230	54	19	mises	mises	PROPN
fis-1230	54	20	stress	stress	NOUN
fis-1230	54	21	is	be	AUX
fis-1230	54	22	used	use	VERB
fis-1230	54	23	,	,	PUNCT
fis-1230	54	24	it	it	PRON
fis-1230	54	25	is	be	AUX
fis-1230	54	26	possible	possible	ADJ
fis-1230	54	27	as	as	SCONJ
fis-1230	54	28	done	do	VERB
fis-1230	54	29	in	in	ADP
fis-1230	54	30	[	[	X
fis-1230	54	31	3	3	NUM
fis-1230	54	32	]	]	PUNCT
fis-1230	54	33	to	to	PART
fis-1230	54	34	give	give	VERB
fis-1230	54	35	to	to	ADP
fis-1230	54	36	n	n	DET
fis-1230	54	37	the	the	DET
fis-1230	54	38	following	follow	VERB
fis-1230	54	39	explicit	explicit	ADJ
fis-1230	54	40	form	form	NOUN
fis-1230	54	41	:	:	PUNCT
fis-1230	54	42	n	n	NOUN
fis-1230	54	43	=	=	SYM
fis-1230	54	44	3	3	NUM
fis-1230	54	45	2	2	NUM
fis-1230	54	46	(	(	PUNCT
fis-1230	54	47	s	s	X
fis-1230	54	48	–	–	PUNCT
fis-1230	54	49	xc	xc	PROPN
fis-1230	54	50	)	)	PUNCT
fis-1230	54	51	/	/	SYM
fis-1230	54	52	fp(s	fp(s	X
fis-1230	54	53	–	–	PUNCT
fis-1230	54	54	xc	xc	PROPN
fis-1230	54	55	)	)	PUNCT
fis-1230	54	56	(	(	PUNCT
fis-1230	54	57	11	11	NUM
fis-1230	54	58	)	)	PUNCT
fis-1230	54	59	if	if	SCONJ
fis-1230	54	60	at	at	ADP
fis-1230	54	61	a	a	DET
fis-1230	54	62	given	give	VERB
fis-1230	54	63	instant	instant	NOUN
fis-1230	54	64	the	the	DET
fis-1230	54	65	same	same	ADJ
fis-1230	54	66	maximum	maximum	NOUN
fis-1230	54	67	y	y	PROPN
fis-1230	54	68	belongs	belong	VERB
fis-1230	54	69	to	to	ADP
fis-1230	54	70	two	two	NUM
fis-1230	54	71	or	or	CCONJ
fis-1230	54	72	more	more	ADJ
fis-1230	54	73	yield	yield	NOUN
fis-1230	54	74	surfaces	surface	NOUN
fis-1230	54	75	contemporarily	contemporarily	ADV
fis-1230	54	76	then	then	ADV
fis-1230	54	77	the	the	DET
fis-1230	54	78	one	one	NOUN
fis-1230	54	79	to	to	PART
fis-1230	54	80	be	be	AUX
fis-1230	54	81	hardened	harden	VERB
fis-1230	54	82	according	accord	VERB
fis-1230	54	83	to	to	ADP
fis-1230	54	84	the	the	DET
fis-1230	54	85	eqs	eqs	PROPN
fis-1230	54	86	.	.	PUNCT
fis-1230	54	87	(	(	PUNCT
fis-1230	54	88	5.a	5.a	NUM
fis-1230	54	89	)	)	PUNCT
fis-1230	54	90	and	and	CCONJ
fis-1230	54	91	(	(	PUNCT
fis-1230	54	92	5.b	5.b	NUM
fis-1230	54	93	)	)	PUNCT
fis-1230	54	94	is	be	AUX
fis-1230	54	95	chosen	choose	VERB
fis-1230	54	96	conservatively	conservatively	ADV
fis-1230	54	97	as	as	ADP
fis-1230	54	98	the	the	DET
fis-1230	54	99	one	one	NOUN
fis-1230	54	100	having	have	VERB
fis-1230	54	101	the	the	DET
fis-1230	54	102	maximum	maximum	ADJ
fis-1230	54	103	value	value	NOUN
fis-1230	54	104	of	of	ADP
fis-1230	54	105	the	the	DET
fis-1230	54	106	scalar	scalar	ADJ
fis-1230	54	107	product	product	NOUN
fis-1230	54	108	ds	ds	NOUN
fis-1230	54	109	:	:	PUNCT
fis-1230	54	110	n.	n.	PROPN
fis-1230	54	111	additionally	additionally	ADV
fis-1230	54	112	,	,	PUNCT
fis-1230	54	113	if	if	SCONJ
fis-1230	54	114	two	two	NUM
fis-1230	54	115	or	or	CCONJ
fis-1230	54	116	more	more	ADJ
fis-1230	54	117	surfaces	surface	NOUN
fis-1230	54	118	have	have	VERB
fis-1230	54	119	not	not	PART
fis-1230	54	120	only	only	ADV
fis-1230	54	121	the	the	DET
fis-1230	54	122	same	same	ADJ
fis-1230	54	123	maximum	maximum	NOUN
fis-1230	54	124	y	y	PROPN
fis-1230	54	125	but	but	CCONJ
fis-1230	54	126	also	also	ADV
fis-1230	54	127	the	the	DET
fis-1230	54	128	same	same	ADJ
fis-1230	54	129	maximum	maximum	ADJ
fis-1230	54	130	ds	ds	ADJ
fis-1230	54	131	:	:	PUNCT
fis-1230	54	132	n	n	CCONJ
fis-1230	54	133	,	,	PUNCT
fis-1230	54	134	then	then	ADV
fis-1230	54	135	the	the	DET
fis-1230	54	136	choice	choice	NOUN
fis-1230	54	137	for	for	ADP
fis-1230	54	138	the	the	DET
fis-1230	54	139	one	one	NOUN
fis-1230	54	140	to	to	PART
fis-1230	54	141	be	be	AUX
fis-1230	54	142	hardened	harden	VERB
fis-1230	54	143	according	accord	VERB
fis-1230	54	144	to	to	ADP
fis-1230	54	145	the	the	DET
fis-1230	54	146	eqs	eqs	PROPN
fis-1230	54	147	.	.	PUNCT
fis-1230	54	148	(	(	PUNCT
fis-1230	54	149	5.a	5.a	NUM
fis-1230	54	150	)	)	PUNCT
fis-1230	54	151	and	and	CCONJ
fis-1230	54	152	(	(	PUNCT
fis-1230	54	153	5.b	5.b	NUM
fis-1230	54	154	)	)	PUNCT
fis-1230	54	155	becomes	become	VERB
fis-1230	54	156	physically	physically	ADV
fis-1230	54	157	arbitrary	arbitrary	ADJ
fis-1230	54	158	:	:	PUNCT
fis-1230	54	159	we	we	PRON
fis-1230	54	160	simply	simply	ADV
fis-1230	54	161	choose	choose	VERB
fis-1230	54	162	the	the	DET
fis-1230	54	163	one	one	NOUN
fis-1230	54	164	which	which	PRON
fis-1230	54	165	had	have	AUX
fis-1230	54	166	been	be	AUX
fis-1230	54	167	previously	previously	ADV
fis-1230	54	168	created	create	VERB
fis-1230	54	169	firstly	firstly	ADV
fis-1230	54	170	.	.	PUNCT
fis-1230	55	1	the	the	DET
fis-1230	55	2	other	other	ADJ
fis-1230	55	3	surfaces	surface	NOUN
fis-1230	55	4	that	that	PRON
fis-1230	55	5	are	be	AUX
fis-1230	55	6	hardened	harden	VERB
fis-1230	55	7	at	at	ADP
fis-1230	55	8	a	a	DET
fis-1230	55	9	given	give	VERB
fis-1230	55	10	instant	instant	NOUN
fis-1230	55	11	because	because	SCONJ
fis-1230	55	12	the	the	DET
fis-1230	55	13	stress	stress	NOUN
fis-1230	55	14	point	point	NOUN
fis-1230	55	15	lies	lie	VERB
fis-1230	55	16	on	on	ADP
fis-1230	55	17	the	the	DET
fis-1230	55	18	surface	surface	NOUN
fis-1230	55	19	and	and	CCONJ
fis-1230	55	20	is	be	AUX
fis-1230	55	21	moving	move	VERB
fis-1230	55	22	towards	towards	ADP
fis-1230	55	23	the	the	DET
fis-1230	55	24	outside	outside	NOUN
fis-1230	55	25	simply	simply	ADV
fis-1230	55	26	move	move	VERB
fis-1230	55	27	rigidly	rigidly	ADV
fis-1230	55	28	with	with	ADP
fis-1230	55	29	a	a	DET
fis-1230	55	30	pure	pure	ADJ
fis-1230	55	31	kinematic	kinematic	ADJ
fis-1230	55	32	hardening	hardening	NOUN
fis-1230	55	33	(	(	PUNCT
fis-1230	55	34	y	y	PROPN
fis-1230	55	35	remain	remain	VERB
fis-1230	55	36	constant	constant	ADJ
fis-1230	55	37	)	)	PUNCT
fis-1230	55	38	defined	define	VERB
fis-1230	55	39	by	by	ADP
fis-1230	55	40	:	:	PUNCT
fis-1230	55	41	dxc	dxc	PROPN
fis-1230	55	42	=	=	SYM
fis-1230	55	43	h(p	h(p	X
fis-1230	55	44	)	)	PUNCT
fis-1230	56	1	<	<	X
fis-1230	56	2	ds	ds	X
fis-1230	56	3	:	:	PUNCT
fis-1230	56	4	n	n	CCONJ
fis-1230	56	5	>	>	X
fis-1230	56	6	n	n	PROPN
fis-1230	56	7	(	(	PUNCT
fis-1230	56	8	12.a	12.a	NUM
fis-1230	56	9	)	)	PUNCT
fis-1230	56	10	dy	dy	NOUN
fis-1230	56	11	=	=	SYM
fis-1230	56	12	0	0	PUNCT
fis-1230	57	1	(	(	PUNCT
fis-1230	57	2	12.b	12.b	NUM
fis-1230	57	3	)	)	PUNCT
fis-1230	57	4	actually	actually	ADV
fis-1230	57	5	only	only	ADV
fis-1230	57	6	the	the	DET
fis-1230	57	7	yield	yield	NOUN
fis-1230	57	8	surface	surface	NOUN
fis-1230	57	9	selected	select	VERB
fis-1230	57	10	by	by	ADP
fis-1230	57	11	the	the	DET
fis-1230	57	12	criteria	criterion	NOUN
fis-1230	57	13	illustrated	illustrate	VERB
fis-1230	57	14	above	above	ADV
fis-1230	57	15	is	be	AUX
fis-1230	57	16	considered	consider	VERB
fis-1230	57	17	to	to	PART
fis-1230	57	18	be	be	AUX
fis-1230	57	19	plastically	plastically	ADV
fis-1230	57	20	active	active	ADJ
fis-1230	57	21	and	and	CCONJ
fis-1230	57	22	it	it	PRON
fis-1230	57	23	is	be	AUX
fis-1230	57	24	called	call	VERB
fis-1230	57	25	“	"	PUNCT
fis-1230	57	26	active	active	ADJ
fis-1230	57	27	surface	surface	NOUN
fis-1230	57	28	”	"	PUNCT
fis-1230	57	29	.	.	PUNCT
fis-1230	58	1	the	the	DET
fis-1230	58	2	other	other	ADJ
fis-1230	58	3	hardened	hardened	ADJ
fis-1230	58	4	surfaces	surface	NOUN
fis-1230	58	5	having	have	VERB
fis-1230	58	6	a	a	DET
fis-1230	58	7	pure	pure	ADJ
fis-1230	58	8	kinematic	kinematic	ADJ
fis-1230	58	9	hardening	hardening	NOUN
fis-1230	58	10	expressed	express	VERB
fis-1230	58	11	by	by	ADP
fis-1230	58	12	the	the	DET
fis-1230	58	13	eqs	eqs	PROPN
fis-1230	58	14	.	.	PUNCT
fis-1230	58	15	(	(	PUNCT
fis-1230	58	16	12.a	12.a	NUM
fis-1230	58	17	)	)	PUNCT
fis-1230	58	18	and	and	CCONJ
fis-1230	58	19	(	(	PUNCT
fis-1230	58	20	12.b	12.b	NUM
fis-1230	58	21	)	)	PUNCT
fis-1230	58	22	are	be	AUX
fis-1230	58	23	not	not	PART
fis-1230	58	24	directly	directly	ADV
fis-1230	58	25	considered	consider	VERB
fis-1230	58	26	in	in	ADP
fis-1230	58	27	the	the	DET
fis-1230	58	28	current	current	ADJ
fis-1230	58	29	global	global	ADJ
fis-1230	58	30	computation	computation	NOUN
fis-1230	58	31	of	of	ADP
fis-1230	58	32	the	the	DET
fis-1230	58	33	fatigue	fatigue	NOUN
fis-1230	58	34	damage	damage	NOUN
fis-1230	58	35	,	,	PUNCT
fis-1230	58	36	but	but	CCONJ
fis-1230	58	37	their	their	PRON
fis-1230	58	38	updated	update	VERB
fis-1230	58	39	position	position	NOUN
fis-1230	58	40	will	will	AUX
fis-1230	58	41	have	have	VERB
fis-1230	58	42	an	an	DET
fis-1230	58	43	influence	influence	NOUN
fis-1230	58	44	on	on	ADP
fis-1230	58	45	the	the	DET
fis-1230	58	46	subsequent	subsequent	ADJ
fis-1230	58	47	response	response	NOUN
fis-1230	58	48	in	in	ADP
fis-1230	58	49	fatigue	fatigue	NOUN
fis-1230	58	50	.	.	PUNCT
fis-1230	59	1	they	they	PRON
fis-1230	59	2	are	be	AUX
fis-1230	59	3	designated	designate	VERB
fis-1230	59	4	as	as	ADP
fis-1230	59	5	“	"	PUNCT
fis-1230	59	6	transported	transport	VERB
fis-1230	59	7	surfaces	surface	NOUN
fis-1230	59	8	”	"	PUNCT
fis-1230	59	9	.	.	PUNCT
fis-1230	60	1	a	a	DET
fis-1230	60	2	third	third	ADJ
fis-1230	60	3	category	category	NOUN
fis-1230	60	4	is	be	AUX
fis-1230	60	5	given	give	VERB
fis-1230	60	6	by	by	ADP
fis-1230	60	7	those	those	DET
fis-1230	60	8	surfaces	surface	NOUN
fis-1230	60	9	that	that	PRON
fis-1230	60	10	are	be	AUX
fis-1230	60	11	not	not	PART
fis-1230	60	12	moving	move	VERB
fis-1230	60	13	at	at	ADP
fis-1230	60	14	a	a	DET
fis-1230	60	15	current	current	ADJ
fis-1230	60	16	instant	instant	NOUN
fis-1230	60	17	:	:	PUNCT
fis-1230	60	18	they	they	PRON
fis-1230	60	19	are	be	AUX
fis-1230	60	20	denoted	denote	VERB
fis-1230	60	21	as	as	ADP
fis-1230	60	22	“	"	PUNCT
fis-1230	60	23	resting	rest	VERB
fis-1230	60	24	surfaces	surface	NOUN
fis-1230	60	25	”	"	PUNCT
fis-1230	60	26	since	since	SCONJ
fis-1230	60	27	the	the	DET
fis-1230	60	28	stress	stress	NOUN
fis-1230	60	29	point	point	NOUN
fis-1230	60	30	moves	move	VERB
fis-1230	60	31	internally	internally	ADV
fis-1230	60	32	.	.	PUNCT
fis-1230	61	1	the	the	DET
fis-1230	61	2	presence	presence	NOUN
fis-1230	61	3	of	of	ADP
fis-1230	61	4	the	the	DET
fis-1230	61	5	transported	transport	VERB
fis-1230	61	6	and	and	CCONJ
fis-1230	61	7	resting	rest	VERB
fis-1230	61	8	yield	yield	NOUN
fis-1230	61	9	surfaces	surface	NOUN
fis-1230	61	10	represents	represent	VERB
fis-1230	61	11	a	a	DET
fis-1230	61	12	memory	memory	NOUN
fis-1230	61	13	effect	effect	NOUN
fis-1230	61	14	in	in	ADP
fis-1230	61	15	the	the	DET
fis-1230	61	16	fatigue	fatigue	NOUN
fis-1230	61	17	process	process	NOUN
fis-1230	61	18	,	,	PUNCT
fis-1230	61	19	since	since	SCONJ
fis-1230	61	20	they	they	PRON
fis-1230	61	21	can	can	AUX
fis-1230	61	22	be	be	AUX
fis-1230	61	23	activated	activate	VERB
fis-1230	61	24	in	in	ADP
fis-1230	61	25	the	the	DET
fis-1230	61	26	subsequent	subsequent	ADJ
fis-1230	61	27	stress	stress	NOUN
fis-1230	61	28	history	history	NOUN
fis-1230	61	29	.	.	PUNCT
fis-1230	62	1	as	as	SCONJ
fis-1230	62	2	already	already	ADV
fis-1230	62	3	remarked	remark	VERB
fis-1230	62	4	above	above	ADV
fis-1230	62	5	,	,	PUNCT
fis-1230	62	6	all	all	DET
fis-1230	62	7	the	the	DET
fis-1230	62	8	existing	exist	VERB
fis-1230	62	9	surfaces	surface	NOUN
fis-1230	62	10	do	do	AUX
fis-1230	62	11	not	not	PART
fis-1230	62	12	form	form	VERB
fis-1230	62	13	obligatorily	obligatorily	ADV
fis-1230	62	14	a	a	DET
fis-1230	62	15	set	set	NOUN
fis-1230	62	16	of	of	ADP
fis-1230	62	17	nested	nested	ADJ
fis-1230	62	18	surfaces	surface	NOUN
fis-1230	62	19	but	but	CCONJ
fis-1230	62	20	they	they	PRON
fis-1230	62	21	can	can	AUX
fis-1230	62	22	intersect	intersect	VERB
fis-1230	62	23	each	each	DET
fis-1230	62	24	other	other	ADJ
fis-1230	62	25	.	.	PUNCT
fis-1230	63	1			VERB
fis-1230	63	2	an	an	DET
fis-1230	63	3	increment	increment	NOUN
fis-1230	63	4	of	of	ADP
fis-1230	63	5	plastic	plastic	ADJ
fis-1230	63	6	deformation	deformation	NOUN
fis-1230	63	7	at	at	ADP
fis-1230	63	8	the	the	DET
fis-1230	63	9	grain	grain	NOUN
fis-1230	63	10	scale	scale	NOUN
fis-1230	63	11	can	can	AUX
fis-1230	63	12	be	be	AUX
fis-1230	63	13	by	by	ADP
fis-1230	63	14	hypothesis	hypothesis	NOUN
fis-1230	63	15	created	create	VERB
fis-1230	63	16	at	at	ADP
fis-1230	63	17	each	each	DET
fis-1230	63	18	instant	instant	NOUN
fis-1230	63	19	under	under	ADP
fis-1230	63	20	a	a	DET
fis-1230	63	21	deviatoric	deviatoric	ADJ
fis-1230	63	22	stress	stress	NOUN
fis-1230	63	23	variation	variation	NOUN
fis-1230	63	24	.	.	PUNCT
fis-1230	64	1	to	to	PART
fis-1230	64	2	take	take	VERB
fis-1230	64	3	into	into	ADP
fis-1230	64	4	account	account	NOUN
fis-1230	64	5	this	this	PRON
fis-1230	64	6	,	,	PUNCT
fis-1230	64	7	if	if	SCONJ
fis-1230	64	8	the	the	DET
fis-1230	64	9	stress	stress	NOUN
fis-1230	64	10	point	point	NOUN
fis-1230	64	11	is	be	AUX
fis-1230	64	12	moving	move	VERB
fis-1230	64	13	in	in	ADP
fis-1230	64	14	such	such	DET
fis-1230	64	15	a	a	DET
fis-1230	64	16	way	way	NOUN
fis-1230	64	17	that	that	PRON
fis-1230	64	18	none	none	NOUN
fis-1230	64	19	of	of	ADP
fis-1230	64	20	the	the	DET
fis-1230	64	21	already	already	ADV
fis-1230	64	22	existing	exist	VERB
fis-1230	64	23	yield	yield	NOUN
fis-1230	64	24	surfaces	surface	NOUN
fis-1230	64	25	are	be	AUX
fis-1230	64	26	hardened	harden	VERB
fis-1230	64	27	then	then	ADV
fis-1230	64	28	a	a	DET
fis-1230	64	29	new	new	ADJ
fis-1230	64	30	surface	surface	NOUN
fis-1230	64	31	is	be	AUX
fis-1230	64	32	created	create	VERB
fis-1230	64	33	starting	start	VERB
fis-1230	64	34	from	from	ADP
fis-1230	64	35	the	the	DET
fis-1230	64	36	size	size	NOUN
fis-1230	64	37	y	y	PROPN
fis-1230	64	38	=	=	SYM
fis-1230	64	39	0	0	PUNCT
fis-1230	64	40	and	and	CCONJ
fis-1230	64	41	obeying	obey	VERB
fis-1230	64	42	to	to	ADP
fis-1230	64	43	the	the	DET
fis-1230	64	44	hardening	harden	VERB
fis-1230	64	45	law	law	NOUN
fis-1230	64	46	for	for	ADP
fis-1230	64	47	the	the	DET
fis-1230	64	48	active	active	ADJ
fis-1230	64	49	surface	surface	NOUN
fis-1230	64	50	expressed	express	VERB
fis-1230	64	51	by	by	ADP
fis-1230	64	52	eqs	eqs	PROPN
fis-1230	64	53	.	.	PUNCT
fis-1230	65	1	(	(	PUNCT
fis-1230	65	2	5.a	5.a	NUM
fis-1230	65	3	)	)	PUNCT
fis-1230	65	4	and	and	CCONJ
fis-1230	65	5	(	(	PUNCT
fis-1230	65	6	5.b	5.b	NUM
fis-1230	65	7	)	)	PUNCT
fis-1230	65	8	.	.	PUNCT
fis-1230	66	1	of	of	ADP
fis-1230	66	2	course	course	ADV
fis-1230	66	3	a	a	DET
fis-1230	66	4	first	first	ADJ
fis-1230	66	5	surface	surface	NOUN
fis-1230	66	6	is	be	AUX
fis-1230	66	7	immediately	immediately	ADV
fis-1230	66	8	created	create	VERB
fis-1230	66	9	at	at	ADP
fis-1230	66	10	the	the	DET
fis-1230	66	11	start	start	NOUN
fis-1230	66	12	of	of	ADP
fis-1230	66	13	the	the	DET
fis-1230	66	14	stress	stress	NOUN
fis-1230	66	15	history	history	NOUN
fis-1230	66	16	.	.	PUNCT
fis-1230	67	1	a	a	DET
fis-1230	67	2	problem	problem	NOUN
fis-1230	67	3	arises	arise	VERB
fis-1230	67	4	when	when	SCONJ
fis-1230	67	5	a	a	DET
fis-1230	67	6	surface	surface	NOUN
fis-1230	67	7	is	be	AUX
fis-1230	67	8	created	create	VERB
fis-1230	67	9	:	:	PUNCT
fis-1230	67	10	its	its	PRON
fis-1230	67	11	normal	normal	ADJ
fis-1230	67	12	n	n	NOUN
fis-1230	67	13	is	be	AUX
fis-1230	67	14	not	not	PART
fis-1230	67	15	defined	define	VERB
fis-1230	67	16	since	since	SCONJ
fis-1230	67	17	the	the	DET
fis-1230	67	18	surface	surface	NOUN
fis-1230	67	19	is	be	AUX
fis-1230	67	20	collapsed	collapse	VERB
fis-1230	67	21	in	in	ADP
fis-1230	67	22	a	a	DET
fis-1230	67	23	point	point	NOUN
fis-1230	67	24	(	(	PUNCT
fis-1230	67	25	y	y	PROPN
fis-1230	67	26	=	=	SYM
fis-1230	67	27	0	0	NUM
fis-1230	67	28	)	)	PUNCT
fis-1230	67	29	.	.	PUNCT
fis-1230	68	1	this	this	DET
fis-1230	68	2	problem	problem	NOUN
fis-1230	68	3	is	be	AUX
fis-1230	68	4	bypassed	bypass	VERB
fis-1230	68	5	by	by	ADP
fis-1230	68	6	defining	define	VERB
fis-1230	68	7	,	,	PUNCT
fis-1230	68	8	at	at	ADP
fis-1230	68	9	the	the	DET
fis-1230	68	10	instant	instant	NOUN
fis-1230	68	11	where	where	SCONJ
fis-1230	68	12	a	a	DET
fis-1230	68	13	yield	yield	NOUN
fis-1230	68	14	surface	surface	NOUN
fis-1230	68	15	is	be	AUX
fis-1230	68	16	created	create	VERB
fis-1230	68	17	,	,	PUNCT
fis-1230	68	18	a	a	DET
fis-1230	68	19	normal	normal	ADJ
fis-1230	68	20	driven	drive	VERB
fis-1230	68	21	by	by	ADP
fis-1230	68	22	the	the	DET
fis-1230	68	23	stress	stress	NOUN
fis-1230	68	24	variation	variation	NOUN
fis-1230	68	25	ds	ds	PROPN
fis-1230	68	26	:	:	PUNCT
fis-1230	68	27	http://www.gruppofrattura.it	http://www.gruppofrattura.it	X
fis-1230	68	28	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ
fis-1230	68	29	m.	m.	NOUN
fis-1230	68	30	malnati	malnati	PROPN
fis-1230	68	31	,	,	PUNCT
fis-1230	68	32	frattura	frattura	PROPN
fis-1230	68	33	ed	ed	PROPN
fis-1230	68	34	integrità	integrità	PROPN
fis-1230	68	35	strutturale	strutturale	PROPN
fis-1230	68	36	,	,	PUNCT
fis-1230	68	37	28	28	NUM
fis-1230	68	38	(	(	PUNCT
fis-1230	68	39	2014	2014	NUM
fis-1230	68	40	)	)	PUNCT
fis-1230	68	41	12	12	NUM
fis-1230	68	42	-	-	SYM
fis-1230	68	43	18	18	NUM
fis-1230	68	44	;	;	PUNCT
fis-1230	68	45	doi	doi	NOUN
fis-1230	68	46	:	:	PUNCT
fis-1230	69	1	10.3221	10.3221	NUM
fis-1230	69	2	/	/	SYM
fis-1230	69	3	igf	igf	PROPN
fis-1230	69	4	-	-	ADJ
fis-1230	69	5	esis.28.02	esis.28.02	ADJ
fis-1230	69	6	15	15	NUM
fis-1230	69	7	n	n	NOUN
fis-1230	69	8	=	=	SYM
fis-1230	70	1	d	d	PROPN
fis-1230	70	2	d	d	NOUN
fis-1230	70	3	:	:	PUNCT
fis-1230	70	4	d	d	X
fis-1230	70	5	s	s	X
fis-1230	70	6	s	s	X
fis-1230	70	7	s	s	NOUN
fis-1230	70	8	for	for	ADP
fis-1230	70	9	y	y	PROPN
fis-1230	70	10	=	=	SYM
fis-1230	70	11	0	0	PROPN
fis-1230	70	12	(	(	PUNCT
fis-1230	70	13	13	13	NUM
fis-1230	70	14	)	)	PUNCT
fis-1230	70	15	once	once	SCONJ
fis-1230	70	16	the	the	DET
fis-1230	70	17	rules	rule	NOUN
fis-1230	70	18	for	for	ADP
fis-1230	70	19	the	the	DET
fis-1230	70	20	creation	creation	NOUN
fis-1230	70	21	of	of	ADP
fis-1230	70	22	the	the	DET
fis-1230	70	23	stress	stress	NOUN
fis-1230	70	24	cycles	cycle	NOUN
fis-1230	70	25	are	be	AUX
fis-1230	70	26	defined	define	VERB
fis-1230	70	27	,	,	PUNCT
fis-1230	70	28	a	a	DET
fis-1230	70	29	“	"	PUNCT
fis-1230	70	30	deviatoric	deviatoric	ADJ
fis-1230	70	31	fatigue	fatigue	NOUN
fis-1230	70	32	equivalent	equivalent	ADJ
fis-1230	70	33	stress	stress	NOUN
fis-1230	70	34	”	"	PUNCT
fis-1230	70	35	y	y	PRON
fis-1230	70	36	is	be	AUX
fis-1230	70	37	calculated	calculate	VERB
fis-1230	70	38	for	for	ADP
fis-1230	70	39	the	the	DET
fis-1230	70	40	yield	yield	NOUN
fis-1230	70	41	surfaces	surface	NOUN
fis-1230	70	42	by	by	ADP
fis-1230	70	43	means	mean	NOUN
fis-1230	70	44	of	of	ADP
fis-1230	70	45	the	the	DET
fis-1230	70	46	following	follow	VERB
fis-1230	70	47	equations	equation	NOUN
fis-1230	70	48	:	:	PUNCT
fis-1230	70	49	deq	deq	PROPN
fis-1230	70	50	=	=	SYM
fis-1230	70	51	fp(dxc	fp(dxc	PROPN
fis-1230	70	52	)	)	PUNCT
fis-1230	71	1	+	+	CCONJ
fis-1230	71	2	dy	dy	NOUN
fis-1230	71	3	for	for	ADP
fis-1230	71	4	the	the	DET
fis-1230	71	5	active	active	ADJ
fis-1230	71	6	surface	surface	NOUN
fis-1230	71	7	(	(	PUNCT
fis-1230	71	8	14.a	14.a	NUM
fis-1230	71	9	)	)	PUNCT
fis-1230	71	10	deq	deq	PROPN
fis-1230	71	11	=	=	NOUN
fis-1230	71	12	0	0	PROPN
fis-1230	71	13	for	for	ADP
fis-1230	71	14	all	all	DET
fis-1230	71	15	the	the	DET
fis-1230	71	16	other	other	ADJ
fis-1230	71	17	surfaces	surface	NOUN
fis-1230	71	18	(	(	PUNCT
fis-1230	71	19	14.b	14.b	NUM
fis-1230	71	20	)	)	PUNCT
fis-1230	71	21	the	the	DET
fis-1230	71	22	eqs	eqs	PROPN
fis-1230	71	23	.	.	PUNCT
fis-1230	72	1	(	(	PUNCT
fis-1230	72	2	14.a	14.a	NUM
fis-1230	72	3	)	)	PUNCT
fis-1230	72	4	and	and	CCONJ
fis-1230	72	5	(	(	PUNCT
fis-1230	72	6	14.b	14.b	NUM
fis-1230	72	7	)	)	PUNCT
fis-1230	72	8	affirm	affirm	NOUN
fis-1230	72	9	that	that	SCONJ
fis-1230	72	10	an	an	DET
fis-1230	72	11	increment	increment	NOUN
fis-1230	72	12	of	of	ADP
fis-1230	72	13	deq	deq	PROPN
fis-1230	72	14	is	be	AUX
fis-1230	72	15	applied	apply	VERB
fis-1230	72	16	to	to	ADP
fis-1230	72	17	the	the	DET
fis-1230	72	18	active	active	ADJ
fis-1230	72	19	surface	surface	NOUN
fis-1230	72	20	only	only	ADV
fis-1230	72	21	and	and	CCONJ
fis-1230	72	22	not	not	PART
fis-1230	72	23	to	to	ADP
fis-1230	72	24	the	the	DET
fis-1230	72	25	other	other	ADJ
fis-1230	72	26	surfaces	surface	NOUN
fis-1230	72	27	:	:	PUNCT
fis-1230	72	28	for	for	ADP
fis-1230	72	29	both	both	CCONJ
fis-1230	72	30	transported	transport	VERB
fis-1230	72	31	and	and	CCONJ
fis-1230	72	32	resting	rest	VERB
fis-1230	72	33	surfaces	surface	NOUN
fis-1230	72	34	the	the	DET
fis-1230	72	35	value	value	NOUN
fis-1230	72	36	of	of	ADP
fis-1230	72	37	eq	eq	NOUN
fis-1230	72	38	does	do	AUX
fis-1230	72	39	not	not	PART
fis-1230	72	40	change	change	VERB
fis-1230	72	41	at	at	ADP
fis-1230	72	42	a	a	DET
fis-1230	72	43	given	give	VERB
fis-1230	72	44	instant	instant	NOUN
fis-1230	72	45	.	.	PUNCT
fis-1230	73	1	at	at	ADP
fis-1230	73	2	each	each	DET
fis-1230	73	3	instant	instant	NOUN
fis-1230	73	4	of	of	ADP
fis-1230	73	5	the	the	DET
fis-1230	73	6	stress	stress	NOUN
fis-1230	73	7	history	history	NOUN
fis-1230	73	8	the	the	DET
fis-1230	73	9	result	result	NOUN
fis-1230	73	10	is	be	AUX
fis-1230	73	11	thus	thus	ADV
fis-1230	73	12	the	the	DET
fis-1230	73	13	presence	presence	NOUN
fis-1230	73	14	of	of	ADP
fis-1230	73	15	a	a	DET
fis-1230	73	16	certain	certain	ADJ
fis-1230	73	17	number	number	NOUN
fis-1230	73	18	of	of	ADP
fis-1230	73	19	yield	yield	NOUN
fis-1230	73	20	surfaces	surface	NOUN
fis-1230	73	21	,	,	PUNCT
fis-1230	73	22	each	each	DET
fis-1230	73	23	one	one	NOUN
fis-1230	73	24	with	with	ADP
fis-1230	73	25	a	a	DET
fis-1230	73	26	related	related	ADJ
fis-1230	73	27	value	value	NOUN
fis-1230	73	28	of	of	ADP
fis-1230	73	29	eq	eq	NOUN
fis-1230	73	30	.	.	PUNCT
fis-1230	74	1	the	the	DET
fis-1230	74	2	following	follow	VERB
fis-1230	74	3	figures	figure	NOUN
fis-1230	74	4	show	show	VERB
fis-1230	74	5	the	the	DET
fis-1230	74	6	concept	concept	NOUN
fis-1230	74	7	illustrated	illustrate	VERB
fis-1230	74	8	above	above	ADV
fis-1230	74	9	.	.	PUNCT
fis-1230	75	1	they	they	PRON
fis-1230	75	2	are	be	AUX
fis-1230	75	3	intended	intend	VERB
fis-1230	75	4	only	only	ADV
fis-1230	75	5	as	as	ADP
fis-1230	75	6	a	a	DET
fis-1230	75	7	geometric	geometric	ADJ
fis-1230	75	8	plane	plane	NOUN
fis-1230	75	9	representation	representation	NOUN
fis-1230	75	10	of	of	ADP
fis-1230	75	11	the	the	DET
fis-1230	75	12	stress	stress	NOUN
fis-1230	75	13	cycles	cycle	NOUN
fis-1230	75	14	creation	creation	NOUN
fis-1230	75	15	process	process	NOUN
fis-1230	75	16	,	,	PUNCT
fis-1230	75	17	with	with	ADP
fis-1230	75	18	pure	pure	ADJ
fis-1230	75	19	explanation	explanation	NOUN
fis-1230	75	20	scope	scope	NOUN
fis-1230	75	21	.	.	PUNCT
fis-1230	76	1	the	the	DET
fis-1230	76	2	function	function	NOUN
fis-1230	76	3	fp	fp	PROPN
fis-1230	76	4	used	use	VERB
fis-1230	76	5	here	here	ADV
fis-1230	76	6	is	be	AUX
fis-1230	76	7	the	the	DET
fis-1230	76	8	cartesian	cartesian	ADJ
fis-1230	76	9	distance	distance	NOUN
fis-1230	76	10	in	in	ADP
fis-1230	76	11	the	the	DET
fis-1230	76	12	plane	plane	NOUN
fis-1230	76	13	,	,	PUNCT
fis-1230	76	14	so	so	SCONJ
fis-1230	76	15	that	that	SCONJ
fis-1230	76	16	the	the	DET
fis-1230	76	17	yield	yield	NOUN
fis-1230	76	18	surfaces	surface	NOUN
fis-1230	76	19	are	be	AUX
fis-1230	76	20	circles	circle	NOUN
fis-1230	76	21	.	.	PUNCT
fis-1230	77	1	during	during	ADP
fis-1230	77	2	the	the	DET
fis-1230	77	3	stress	stress	NOUN
fis-1230	77	4	advancement	advancement	NOUN
fis-1230	77	5	,	,	PUNCT
fis-1230	77	6	the	the	DET
fis-1230	77	7	size	size	NOUN
fis-1230	77	8	and	and	CCONJ
fis-1230	77	9	the	the	DET
fis-1230	77	10	center	center	NOUN
fis-1230	77	11	of	of	ADP
fis-1230	77	12	the	the	DET
fis-1230	77	13	surfaces	surface	NOUN
fis-1230	77	14	are	be	AUX
fis-1230	77	15	determined	determine	VERB
fis-1230	77	16	by	by	ADP
fis-1230	77	17	the	the	DET
fis-1230	77	18	same	same	ADJ
fis-1230	77	19	differential	differential	NOUN
fis-1230	77	20	hardening	harden	VERB
fis-1230	77	21	laws	law	NOUN
fis-1230	77	22	defined	define	VERB
fis-1230	77	23	above	above	ADP
fis-1230	77	24	:	:	PUNCT
fis-1230	77	25	eqs	eqs	X
fis-1230	77	26	.	.	PUNCT
fis-1230	78	1	(	(	PUNCT
fis-1230	78	2	5.a	5.a	NUM
fis-1230	78	3	)	)	PUNCT
fis-1230	78	4	,	,	PUNCT
fis-1230	78	5	(	(	PUNCT
fis-1230	78	6	5.b	5.b	NUM
fis-1230	78	7	)	)	PUNCT
fis-1230	78	8	for	for	ADP
fis-1230	78	9	the	the	DET
fis-1230	78	10	active	active	ADJ
fis-1230	78	11	surface	surface	NOUN
fis-1230	78	12	and	and	CCONJ
fis-1230	78	13	eqs	eqs	PROPN
fis-1230	78	14	.	.	PUNCT
fis-1230	79	1	(	(	PUNCT
fis-1230	79	2	12.a	12.a	NUM
fis-1230	79	3	)	)	PUNCT
fis-1230	79	4	,	,	PUNCT
fis-1230	79	5	(	(	PUNCT
fis-1230	79	6	12.b	12.b	NUM
fis-1230	79	7	)	)	PUNCT
fis-1230	79	8	for	for	ADP
fis-1230	79	9	transported	transport	VERB
fis-1230	79	10	and	and	CCONJ
fis-1230	79	11	resting	rest	VERB
fis-1230	79	12	surfaces	surface	NOUN
fis-1230	79	13	.	.	PUNCT
fis-1230	80	1	a	a	DET
fis-1230	80	2	closed	close	VERB
fis-1230	80	3	stress	stress	NOUN
fis-1230	80	4	sequence	sequence	NOUN
fis-1230	80	5	is	be	AUX
fis-1230	80	6	given	give	VERB
fis-1230	80	7	,	,	PUNCT
fis-1230	80	8	defined	define	VERB
fis-1230	80	9	by	by	ADP
fis-1230	80	10	the	the	DET
fis-1230	80	11	points	point	NOUN
fis-1230	80	12	numerated	numerate	VERB
fis-1230	80	13	from	from	ADP
fis-1230	80	14	1	1	NUM
fis-1230	80	15	to	to	PART
fis-1230	80	16	10	10	NUM
fis-1230	80	17	and	and	CCONJ
fis-1230	80	18	represented	represent	VERB
fis-1230	80	19	by	by	ADP
fis-1230	80	20	thick	thick	ADJ
fis-1230	80	21	continuous	continuous	ADJ
fis-1230	80	22	line	line	NOUN
fis-1230	80	23	.	.	PUNCT
fis-1230	81	1	at	at	ADP
fis-1230	81	2	four	four	NUM
fis-1230	81	3	different	different	ADJ
fis-1230	81	4	instants	instant	NOUN
fis-1230	81	5	,	,	PUNCT
fis-1230	81	6	the	the	DET
fis-1230	81	7	stress	stress	NOUN
fis-1230	81	8	cycles	cycle	NOUN
fis-1230	81	9	already	already	ADV
fis-1230	81	10	created	create	VERB
fis-1230	81	11	by	by	ADP
fis-1230	81	12	the	the	DET
fis-1230	81	13	moving	move	VERB
fis-1230	81	14	stress	stress	NOUN
fis-1230	81	15	point	point	NOUN
fis-1230	81	16	are	be	AUX
fis-1230	81	17	sketched	sketch	VERB
fis-1230	81	18	with	with	ADP
fis-1230	81	19	thin	thin	ADJ
fis-1230	81	20	continuous	continuous	ADJ
fis-1230	81	21	lines	line	NOUN
fis-1230	81	22	.	.	PUNCT
fis-1230	82	1	a	a	DET
fis-1230	82	2	dashed	dash	VERB
fis-1230	82	3	line	line	NOUN
fis-1230	82	4	represents	represent	VERB
fis-1230	82	5	the	the	DET
fis-1230	82	6	smallest	small	ADJ
fis-1230	82	7	circle	circle	NOUN
fis-1230	82	8	enclosing	enclose	VERB
fis-1230	82	9	all	all	DET
fis-1230	82	10	the	the	DET
fis-1230	82	11	points	point	NOUN
fis-1230	82	12	of	of	ADP
fis-1230	82	13	the	the	DET
fis-1230	82	14	sequence	sequence	NOUN
fis-1230	82	15	,	,	PUNCT
fis-1230	82	16	which	which	PRON
fis-1230	82	17	is	be	AUX
fis-1230	82	18	used	use	VERB
fis-1230	82	19	in	in	ADP
fis-1230	82	20	the	the	DET
fis-1230	82	21	dang	dang	ADJ
fis-1230	82	22	van	van	NOUN
fis-1230	82	23	criterion	criterion	NOUN
fis-1230	82	24	for	for	ADP
fis-1230	82	25	unlimited	unlimited	ADJ
fis-1230	82	26	endurance	endurance	NOUN
fis-1230	82	27	[	[	X
fis-1230	82	28	9	9	NUM
fis-1230	82	29	]	]	PUNCT
fis-1230	82	30	.	.	PUNCT
fis-1230	83	1	figure	figure	NOUN
fis-1230	83	2	1	1	NUM
fis-1230	83	3	:	:	PUNCT
fis-1230	83	4	the	the	DET
fis-1230	83	5	stress	stress	NOUN
fis-1230	83	6	point	point	NOUN
fis-1230	83	7	is	be	AUX
fis-1230	83	8	moving	move	VERB
fis-1230	83	9	between	between	ADP
fis-1230	83	10	states	state	NOUN
fis-1230	83	11	‘	'	PUNCT
fis-1230	83	12	1	1	NUM
fis-1230	83	13	’	'	PUNCT
fis-1230	83	14	and	and	CCONJ
fis-1230	83	15	‘	'	PUNCT
fis-1230	83	16	2	2	NUM
fis-1230	83	17	’	'	PUNCT
fis-1230	83	18	.	.	PUNCT
fis-1230	84	1	only	only	ADV
fis-1230	84	2	one	one	NUM
fis-1230	84	3	stress	stress	NOUN
fis-1230	84	4	cycle	cycle	NOUN
fis-1230	84	5	has	have	AUX
fis-1230	84	6	been	be	AUX
fis-1230	84	7	created	create	VERB
fis-1230	84	8	.	.	PUNCT
fis-1230	85	1	figure	figure	NOUN
fis-1230	85	2	2	2	NUM
fis-1230	85	3	:	:	PUNCT
fis-1230	85	4	created	create	VERB
fis-1230	85	5	stress	stress	NOUN
fis-1230	85	6	cycles	cycle	NOUN
fis-1230	85	7	when	when	SCONJ
fis-1230	85	8	the	the	DET
fis-1230	85	9	stress	stress	NOUN
fis-1230	85	10	point	point	NOUN
fis-1230	85	11	is	be	AUX
fis-1230	85	12	moving	move	VERB
fis-1230	85	13	between	between	ADP
fis-1230	85	14	states	state	NOUN
fis-1230	85	15	‘	'	PUNCT
fis-1230	85	16	5	5	NUM
fis-1230	85	17	’	'	PUNCT
fis-1230	85	18	and	and	CCONJ
fis-1230	85	19	‘	'	PUNCT
fis-1230	85	20	6	6	NUM
fis-1230	85	21	’	'	PUNCT
fis-1230	85	22	.	.	PUNCT
fis-1230	86	1	figure	figure	VERB
fis-1230	86	2	3	3	NUM
fis-1230	86	3	:	:	PUNCT
fis-1230	86	4	created	create	VERB
fis-1230	86	5	stress	stress	NOUN
fis-1230	86	6	cycles	cycle	NOUN
fis-1230	86	7	when	when	SCONJ
fis-1230	86	8	the	the	DET
fis-1230	86	9	stress	stress	NOUN
fis-1230	86	10	point	point	NOUN
fis-1230	86	11	is	be	AUX
fis-1230	86	12	moving	move	VERB
fis-1230	86	13	between	between	ADP
fis-1230	86	14	states	state	NOUN
fis-1230	86	15	‘	'	PUNCT
fis-1230	86	16	7	7	NUM
fis-1230	86	17	’	'	PUNCT
fis-1230	86	18	and	and	CCONJ
fis-1230	86	19	‘	'	PUNCT
fis-1230	86	20	8	8	NUM
fis-1230	86	21	’	'	PUNCT
fis-1230	86	22	.	.	PUNCT
fis-1230	87	1	figure	figure	VERB
fis-1230	87	2	4	4	NUM
fis-1230	87	3	:	:	PUNCT
fis-1230	87	4	stress	stress	NOUN
fis-1230	87	5	cycles	cycle	NOUN
fis-1230	87	6	at	at	ADP
fis-1230	87	7	final	final	ADJ
fis-1230	87	8	instant	instant	NOUN
fis-1230	87	9	of	of	ADP
fis-1230	87	10	the	the	DET
fis-1230	87	11	sequence	sequence	NOUN
fis-1230	87	12	:	:	PUNCT
fis-1230	87	13	the	the	DET
fis-1230	87	14	stress	stress	NOUN
fis-1230	87	15	point	point	NOUN
fis-1230	87	16	has	have	AUX
fis-1230	87	17	reached	reach	VERB
fis-1230	87	18	the	the	DET
fis-1230	87	19	instant	instant	NOUN
fis-1230	87	20	‘	'	PUNCT
fis-1230	87	21	10	10	NUM
fis-1230	87	22	’	'	PUNCT
fis-1230	87	23	.	.	PUNCT
fis-1230	88	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-1230	88	2	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ
fis-1230	88	3	m.	m.	NOUN
fis-1230	88	4	malnati	malnati	PROPN
fis-1230	88	5	,	,	PUNCT
fis-1230	88	6	frattura	frattura	PROPN
fis-1230	88	7	ed	ed	PROPN
fis-1230	88	8	integrità	integrità	PROPN
fis-1230	88	9	strutturale	strutturale	PROPN
fis-1230	88	10	,	,	PUNCT
fis-1230	88	11	28	28	NUM
fis-1230	88	12	(	(	PUNCT
fis-1230	88	13	2014	2014	NUM
fis-1230	88	14	)	)	PUNCT
fis-1230	88	15	12	12	NUM
fis-1230	88	16	-	-	SYM
fis-1230	88	17	18	18	NUM
fis-1230	88	18	;	;	PUNCT
fis-1230	88	19	doi	doi	NOUN
fis-1230	88	20	:	:	PUNCT
fis-1230	88	21	10.3221	10.3221	NUM
fis-1230	88	22	/	/	SYM
fis-1230	88	23	igf	igf	PROPN
fis-1230	88	24	-	-	ADJ
fis-1230	88	25	esis.28.02	esis.28.02	ADJ
fis-1230	88	26	16	16	NUM
fis-1230	88	27	effect	effect	NOUN
fis-1230	88	28	of	of	ADP
fis-1230	88	29	the	the	DET
fis-1230	88	30	hydrostatic	hydrostatic	ADJ
fis-1230	88	31	pressure	pressure	NOUN
fis-1230	88	32	t	t	NOUN
fis-1230	88	33	is	be	AUX
fis-1230	88	34	necessary	necessary	ADJ
fis-1230	88	35	to	to	PART
fis-1230	88	36	take	take	VERB
fis-1230	88	37	into	into	ADP
fis-1230	88	38	account	account	NOUN
fis-1230	88	39	the	the	DET
fis-1230	88	40	effect	effect	NOUN
fis-1230	88	41	of	of	ADP
fis-1230	88	42	the	the	DET
fis-1230	88	43	hydrostatic	hydrostatic	ADJ
fis-1230	88	44	pressure	pressure	NOUN
fis-1230	88	45	,	,	PUNCT
fis-1230	88	46	since	since	SCONJ
fis-1230	88	47	the	the	DET
fis-1230	88	48	deviatoric	deviatoric	ADJ
fis-1230	88	49	fatigue	fatigue	NOUN
fis-1230	88	50	equivalent	equivalent	ADJ
fis-1230	88	51	stress	stress	NOUN
fis-1230	88	52	eq	eq	NOUN
fis-1230	88	53	calculated	calculate	VERB
fis-1230	88	54	on	on	ADP
fis-1230	88	55	the	the	DET
fis-1230	88	56	fatigue	fatigue	NOUN
fis-1230	88	57	cycles	cycle	NOUN
fis-1230	88	58	as	as	SCONJ
fis-1230	88	59	defined	define	VERB
fis-1230	88	60	in	in	ADP
fis-1230	88	61	the	the	DET
fis-1230	88	62	previous	previous	ADJ
fis-1230	88	63	paragraph	paragraph	NOUN
fis-1230	88	64	can	can	AUX
fis-1230	88	65	not	not	PART
fis-1230	88	66	entirely	entirely	ADV
fis-1230	88	67	describe	describe	VERB
fis-1230	88	68	the	the	DET
fis-1230	88	69	fatigue	fatigue	NOUN
fis-1230	88	70	damage	damage	NOUN
fis-1230	88	71	process	process	NOUN
fis-1230	88	72	.	.	PUNCT
fis-1230	89	1	this	this	PRON
fis-1230	89	2	is	be	AUX
fis-1230	89	3	due	due	ADJ
fis-1230	89	4	to	to	ADP
fis-1230	89	5	the	the	DET
fis-1230	89	6	fact	fact	NOUN
fis-1230	89	7	that	that	SCONJ
fis-1230	89	8	the	the	DET
fis-1230	89	9	function	function	NOUN
fis-1230	89	10	fp	fp	AUX
fis-1230	89	11	describing	describe	VERB
fis-1230	89	12	the	the	DET
fis-1230	89	13	yield	yield	NOUN
fis-1230	89	14	surfaces	surface	NOUN
fis-1230	89	15	depends	depend	VERB
fis-1230	89	16	on	on	ADP
fis-1230	89	17	the	the	DET
fis-1230	89	18	deviatoric	deviatoric	ADJ
fis-1230	89	19	part	part	NOUN
fis-1230	89	20	only	only	ADV
fis-1230	89	21	of	of	ADP
fis-1230	89	22	the	the	DET
fis-1230	89	23	stress	stress	NOUN
fis-1230	89	24	tensor	tensor	NOUN
fis-1230	89	25	.	.	PUNCT
fis-1230	90	1	several	several	ADJ
fis-1230	90	2	possibilities	possibility	NOUN
fis-1230	90	3	arise	arise	VERB
fis-1230	90	4	.	.	PUNCT
fis-1230	91	1	it	it	PRON
fis-1230	91	2	is	be	AUX
fis-1230	91	3	chosen	choose	VERB
fis-1230	91	4	here	here	ADV
fis-1230	91	5	to	to	PART
fis-1230	91	6	give	give	VERB
fis-1230	91	7	to	to	ADP
fis-1230	91	8	the	the	DET
fis-1230	91	9	hydrostatic	hydrostatic	ADJ
fis-1230	91	10	pressure	pressure	NOUN
fis-1230	91	11	effects	effect	NOUN
fis-1230	91	12	a	a	DET
fis-1230	91	13	formulation	formulation	NOUN
fis-1230	91	14	inspired	inspire	VERB
fis-1230	91	15	by	by	ADP
fis-1230	91	16	the	the	DET
fis-1230	91	17	classical	classical	ADJ
fis-1230	91	18	hypothesis	hypothesis	NOUN
fis-1230	91	19	of	of	ADP
fis-1230	91	20	sines	sine	NOUN
fis-1230	91	21	(	(	PUNCT
fis-1230	91	22	see	see	VERB
fis-1230	91	23	e.g.	e.g.	ADV
fis-1230	91	24	[	[	X
fis-1230	91	25	1	1	NUM
fis-1230	91	26	,	,	PUNCT
fis-1230	91	27	4	4	NUM
fis-1230	91	28	]	]	PUNCT
fis-1230	91	29	)	)	PUNCT
fis-1230	91	30	in	in	ADP
fis-1230	91	31	which	which	PRON
fis-1230	91	32	the	the	DET
fis-1230	91	33	average	average	ADJ
fis-1230	91	34	hydrostatic	hydrostatic	ADJ
fis-1230	91	35	pressure	pressure	NOUN
fis-1230	91	36	during	during	ADP
fis-1230	91	37	a	a	DET
fis-1230	91	38	load	load	NOUN
fis-1230	91	39	cycle	cycle	NOUN
fis-1230	91	40	is	be	AUX
fis-1230	91	41	used	use	VERB
fis-1230	91	42	.	.	PUNCT
fis-1230	92	1	but	but	CCONJ
fis-1230	92	2	it	it	PRON
fis-1230	92	3	is	be	AUX
fis-1230	92	4	important	important	ADJ
fis-1230	92	5	to	to	PART
fis-1230	92	6	remark	remark	VERB
fis-1230	92	7	that	that	SCONJ
fis-1230	92	8	this	this	DET
fis-1230	92	9	hypothesis	hypothesis	NOUN
fis-1230	92	10	is	be	AUX
fis-1230	92	11	not	not	PART
fis-1230	92	12	the	the	DET
fis-1230	92	13	only	only	ADJ
fis-1230	92	14	possible	possible	ADJ
fis-1230	92	15	in	in	ADP
fis-1230	92	16	the	the	DET
fis-1230	92	17	frame	frame	NOUN
fis-1230	92	18	of	of	ADP
fis-1230	92	19	this	this	DET
fis-1230	92	20	methodology	methodology	NOUN
fis-1230	92	21	:	:	PUNCT
fis-1230	92	22	by	by	ADP
fis-1230	92	23	introducing	introduce	VERB
fis-1230	92	24	it	it	PRON
fis-1230	92	25	,	,	PUNCT
fis-1230	92	26	we	we	PRON
fis-1230	92	27	do	do	AUX
fis-1230	92	28	not	not	PART
fis-1230	92	29	loose	loose	VERB
fis-1230	92	30	generality	generality	NOUN
fis-1230	92	31	regarding	regard	VERB
fis-1230	92	32	the	the	DET
fis-1230	92	33	possibility	possibility	NOUN
fis-1230	92	34	to	to	PART
fis-1230	92	35	use	use	VERB
fis-1230	92	36	other	other	ADJ
fis-1230	92	37	mechanisms	mechanism	NOUN
fis-1230	92	38	of	of	ADP
fis-1230	92	39	hydrostatic	hydrostatic	ADJ
fis-1230	92	40	pressure	pressure	NOUN
fis-1230	92	41	influence	influence	NOUN
fis-1230	92	42	.	.	PUNCT
fis-1230	93	1	let	let	VERB
fis-1230	93	2	us	we	PRON
fis-1230	93	3	consider	consider	VERB
fis-1230	93	4	firstly	firstly	ADV
fis-1230	93	5	that	that	SCONJ
fis-1230	93	6	during	during	ADP
fis-1230	93	7	the	the	DET
fis-1230	93	8	advancement	advancement	NOUN
fis-1230	93	9	of	of	ADP
fis-1230	93	10	the	the	DET
fis-1230	93	11	stress	stress	NOUN
fis-1230	93	12	history	history	NOUN
fis-1230	93	13	the	the	DET
fis-1230	93	14	deviatoric	deviatoric	ADJ
fis-1230	93	15	fatigue	fatigue	NOUN
fis-1230	93	16	equivalent	equivalent	ADJ
fis-1230	93	17	stress	stress	NOUN
fis-1230	93	18	eq	eq	NOUN
fis-1230	93	19	for	for	ADP
fis-1230	93	20	a	a	DET
fis-1230	93	21	given	give	VERB
fis-1230	93	22	stress	stress	NOUN
fis-1230	93	23	cycle	cycle	NOUN
fis-1230	93	24	‘	'	PUNCT
fis-1230	93	25	j	j	NOUN
fis-1230	93	26	’	'	PUNCT
fis-1230	93	27	is	be	AUX
fis-1230	93	28	a	a	DET
fis-1230	93	29	monotonic	monotonic	ADJ
fis-1230	93	30	non	non	ADJ
fis-1230	93	31	-	-	ADJ
fis-1230	93	32	decreasing	decrease	VERB
fis-1230	93	33	function	function	NOUN
fis-1230	93	34	going	go	VERB
fis-1230	93	35	from	from	ADP
fis-1230	93	36	0	0	NUM
fis-1230	93	37	at	at	ADP
fis-1230	93	38	the	the	DET
fis-1230	93	39	initial	initial	ADJ
fis-1230	93	40	instant	instant	NOUN
fis-1230	93	41	to	to	ADP
fis-1230	93	42	its	its	PRON
fis-1230	93	43	final	final	ADJ
fis-1230	93	44	maximum	maximum	ADJ
fis-1230	93	45	value	value	NOUN
fis-1230	93	46	eq	eq	NOUN
fis-1230	93	47	,	,	PUNCT
fis-1230	93	48	j	j	PROPN
fis-1230	93	49	thus	thus	ADV
fis-1230	93	50	the	the	DET
fis-1230	93	51	evolution	evolution	NOUN
fis-1230	93	52	of	of	ADP
fis-1230	93	53	the	the	DET
fis-1230	93	54	hydrostatic	hydrostatic	ADJ
fis-1230	93	55	pressure	pressure	NOUN
fis-1230	93	56	hp	hp	NOUN
fis-1230	93	57	can	can	AUX
fis-1230	93	58	be	be	AUX
fis-1230	93	59	regarded	regard	VERB
fis-1230	93	60	as	as	ADP
fis-1230	93	61	a	a	DET
fis-1230	93	62	function	function	NOUN
fis-1230	93	63	of	of	ADP
fis-1230	93	64	eq	eq	NOUN
fis-1230	93	65	,	,	PUNCT
fis-1230	93	66	j	j	NOUN
fis-1230	93	67	,	,	PUNCT
fis-1230	93	68	so	so	SCONJ
fis-1230	93	69	that	that	SCONJ
fis-1230	93	70	it	it	PRON
fis-1230	93	71	is	be	AUX
fis-1230	93	72	possible	possible	ADJ
fis-1230	93	73	to	to	PART
fis-1230	93	74	calculate	calculate	VERB
fis-1230	93	75	for	for	ADP
fis-1230	93	76	the	the	DET
fis-1230	93	77	considered	consider	VERB
fis-1230	93	78	stress	stress	NOUN
fis-1230	93	79	cycle	cycle	NOUN
fis-1230	93	80	‘	'	PUNCT
fis-1230	93	81	j	j	NOUN
fis-1230	93	82	’	'	PUNCT
fis-1230	93	83	the	the	DET
fis-1230	93	84	average	average	ADJ
fis-1230	93	85	value	value	NOUN
fis-1230	93	86	h	h	NOUN
fis-1230	93	87	,	,	PUNCT
fis-1230	93	88	jp	jp	NOUN
fis-1230	93	89	in	in	ADP
fis-1230	93	90	the	the	DET
fis-1230	93	91	following	following	ADJ
fis-1230	93	92	way	way	NOUN
fis-1230	93	93	:	:	PUNCT
fis-1230	93	94	eq	eq	X
fis-1230	93	95	,	,	PUNCT
fis-1230	93	96	jτ	jτ	PROPN
fis-1230	93	97	h	h	PROPN
fis-1230	93	98	,	,	PUNCT
fis-1230	93	99	j	j	PROPN
fis-1230	93	100	h	h	NOUN
fis-1230	93	101	eq	eq	PROPN
fis-1230	93	102	,	,	PUNCT
fis-1230	93	103	j	j	PROPN
fis-1230	93	104	eq	eq	PROPN
fis-1230	93	105	,	,	PUNCT
fis-1230	93	106	j	j	PROPN
fis-1230	93	107	0	0	NUM
fis-1230	93	108	eq	eq	PROPN
fis-1230	93	109	,	,	PUNCT
fis-1230	93	110	j	j	PROPN
fis-1230	93	111	1	1	NUM
fis-1230	93	112	p	p	NOUN
fis-1230	93	113	p	p	X
fis-1230	93	114	(	(	PUNCT
fis-1230	93	115	τ	τ	PROPN
fis-1230	93	116	)	)	PUNCT
fis-1230	93	117	dτ	dτ	PROPN
fis-1230	94	1	τ	τ	PROPN
fis-1230	94	2			NUM
fis-1230	94	3			NUM
fis-1230	94	4			PUNCT
fis-1230	94	5	(	(	PUNCT
fis-1230	94	6	15	15	NUM
fis-1230	94	7	)	)	PUNCT
fis-1230	94	8	let	let	VERB
fis-1230	94	9	us	we	PRON
fis-1230	94	10	remark	remark	VERB
fis-1230	94	11	explicitly	explicitly	ADV
fis-1230	94	12	that	that	SCONJ
fis-1230	94	13	h	h	NOUN
fis-1230	94	14	,	,	PUNCT
fis-1230	94	15	jp	jp	NOUN
fis-1230	94	16	is	be	AUX
fis-1230	94	17	different	different	ADJ
fis-1230	94	18	for	for	ADP
fis-1230	94	19	each	each	DET
fis-1230	94	20	stress	stress	NOUN
fis-1230	94	21	cycle	cycle	NOUN
fis-1230	94	22	.	.	PUNCT
fis-1230	95	1	the	the	DET
fis-1230	95	2	quantity	quantity	NOUN
fis-1230	95	3	h	h	NOUN
fis-1230	95	4	,	,	PUNCT
fis-1230	95	5	jp	jp	NOUN
fis-1230	95	6	is	be	AUX
fis-1230	95	7	then	then	ADV
fis-1230	95	8	used	use	VERB
fis-1230	95	9	in	in	ADP
fis-1230	95	10	combination	combination	NOUN
fis-1230	95	11	with	with	ADP
fis-1230	95	12	eq	eq	NOUN
fis-1230	95	13	,	,	PUNCT
fis-1230	95	14	j	j	PROPN
fis-1230	95	15	in	in	ADP
fis-1230	95	16	order	order	NOUN
fis-1230	95	17	to	to	PART
fis-1230	95	18	evaluate	evaluate	VERB
fis-1230	95	19	the	the	DET
fis-1230	95	20	fatigue	fatigue	NOUN
fis-1230	95	21	damage	damage	NOUN
fis-1230	95	22	of	of	ADP
fis-1230	95	23	the	the	DET
fis-1230	95	24	cycle	cycle	NOUN
fis-1230	95	25	itself	itself	PRON
fis-1230	95	26	.	.	PUNCT
fis-1230	96	1	to	to	ADP
fis-1230	96	2	this	this	DET
fis-1230	96	3	scope	scope	NOUN
fis-1230	96	4	in	in	ADP
fis-1230	96	5	the	the	DET
fis-1230	96	6	frame	frame	NOUN
fis-1230	96	7	of	of	ADP
fis-1230	96	8	the	the	DET
fis-1230	96	9	present	present	ADJ
fis-1230	96	10	method	method	NOUN
fis-1230	96	11	it	it	PRON
fis-1230	96	12	is	be	AUX
fis-1230	96	13	required	require	VERB
fis-1230	96	14	to	to	PART
fis-1230	96	15	have	have	VERB
fis-1230	96	16	for	for	ADP
fis-1230	96	17	a	a	DET
fis-1230	96	18	given	give	VERB
fis-1230	96	19	material	material	NOUN
fis-1230	96	20	a	a	DET
fis-1230	96	21	relationship	relationship	NOUN
fis-1230	96	22	which	which	PRON
fis-1230	96	23	provides	provide	VERB
fis-1230	96	24	,	,	PUNCT
fis-1230	96	25	for	for	ADP
fis-1230	96	26	an	an	DET
fis-1230	96	27	uniaxial	uniaxial	ADJ
fis-1230	96	28	tension	tension	NOUN
fis-1230	96	29	/	/	SYM
fis-1230	96	30	compression	compression	NOUN
fis-1230	96	31	fatigue	fatigue	NOUN
fis-1230	96	32	problem	problem	NOUN
fis-1230	96	33	under	under	ADP
fis-1230	96	34	constant	constant	ADJ
fis-1230	96	35	amplitude	amplitude	NOUN
fis-1230	96	36	(	(	PUNCT
fis-1230	96	37	ca	ca	NOUN
fis-1230	96	38	)	)	PUNCT
fis-1230	96	39	cycles	cycle	NOUN
fis-1230	96	40	,	,	PUNCT
fis-1230	96	41	the	the	DET
fis-1230	96	42	fatigue	fatigue	NOUN
fis-1230	96	43	equivalent	equivalent	ADJ
fis-1230	96	44	stress	stress	NOUN
fis-1230	96	45	as	as	ADP
fis-1230	96	46	a	a	DET
fis-1230	96	47	function	function	NOUN
fis-1230	96	48	of	of	ADP
fis-1230	96	49	the	the	DET
fis-1230	96	50	stress	stress	NOUN
fis-1230	96	51	amplitude	amplitude	NOUN
fis-1230	96	52	sa	sa	NOUN
fis-1230	96	53	and	and	CCONJ
fis-1230	96	54	of	of	ADP
fis-1230	96	55	the	the	DET
fis-1230	96	56	average	average	ADJ
fis-1230	96	57	stress	stress	NOUN
fis-1230	96	58	s	s	PART
fis-1230	96	59	,	,	PUNCT
fis-1230	96	60	as	as	SCONJ
fis-1230	96	61	follows	follow	VERB
fis-1230	96	62	:	:	PUNCT
fis-1230	96	63	seq	seq	NOUN
fis-1230	96	64	=	=	SYM
fis-1230	96	65	seq(sa	seq(sa	ADJ
fis-1230	96	66	,	,	PUNCT
fis-1230	96	67	s	s	X
fis-1230	96	68	)	)	PUNCT
fis-1230	96	69	(	(	PUNCT
fis-1230	96	70	16	16	NUM
fis-1230	96	71	)	)	PUNCT
fis-1230	96	72	when	when	SCONJ
fis-1230	96	73	such	such	DET
fis-1230	96	74	an	an	DET
fis-1230	96	75	equation	equation	NOUN
fis-1230	96	76	is	be	AUX
fis-1230	96	77	not	not	PART
fis-1230	96	78	available	available	ADJ
fis-1230	96	79	for	for	ADP
fis-1230	96	80	a	a	DET
fis-1230	96	81	material	material	NOUN
fis-1230	96	82	,	,	PUNCT
fis-1230	96	83	then	then	ADV
fis-1230	96	84	it	it	PRON
fis-1230	96	85	is	be	AUX
fis-1230	96	86	necessary	necessary	ADJ
fis-1230	96	87	to	to	PART
fis-1230	96	88	do	do	VERB
fis-1230	96	89	a	a	DET
fis-1230	96	90	hypothesis	hypothesis	NOUN
fis-1230	96	91	to	to	PART
fis-1230	96	92	describe	describe	VERB
fis-1230	96	93	the	the	DET
fis-1230	96	94	influence	influence	NOUN
fis-1230	96	95	of	of	ADP
fis-1230	96	96	the	the	DET
fis-1230	96	97	average	average	ADJ
fis-1230	96	98	stress	stress	NOUN
fis-1230	96	99	for	for	ADP
fis-1230	96	100	uniaxial	uniaxial	ADJ
fis-1230	96	101	ca	ca	NOUN
fis-1230	96	102	cycles	cycle	NOUN
fis-1230	96	103	.	.	PUNCT
fis-1230	97	1	an	an	DET
fis-1230	97	2	“	"	PUNCT
fis-1230	97	3	equivalent	equivalent	ADJ
fis-1230	97	4	fatigue	fatigue	NOUN
fis-1230	97	5	stress	stress	NOUN
fis-1230	97	6	”	"	PUNCT
fis-1230	97	7	eq	eq	PROPN
fis-1230	97	8	,	,	PUNCT
fis-1230	97	9	j	j	PROPN
fis-1230	97	10	for	for	ADP
fis-1230	97	11	each	each	PRON
fis-1230	97	12	of	of	ADP
fis-1230	97	13	the	the	DET
fis-1230	97	14	yield	yield	NOUN
fis-1230	97	15	surfaces	surface	NOUN
fis-1230	97	16	is	be	AUX
fis-1230	97	17	then	then	ADV
fis-1230	97	18	calculated	calculate	VERB
fis-1230	97	19	by	by	ADP
fis-1230	97	20	applying	apply	VERB
fis-1230	97	21	the	the	DET
fis-1230	97	22	same	same	ADJ
fis-1230	97	23	law	law	NOUN
fis-1230	97	24	of	of	ADP
fis-1230	97	25	eq	eq	PROPN
fis-1230	97	26	.	.	PUNCT
fis-1230	98	1	(	(	PUNCT
fis-1230	98	2	16	16	NUM
fis-1230	98	3	)	)	PUNCT
fis-1230	98	4	on	on	ADP
fis-1230	98	5	the	the	DET
fis-1230	98	6	calculated	calculated	ADJ
fis-1230	98	7	eq	eq	NOUN
fis-1230	98	8	,	,	PUNCT
fis-1230	98	9	j	j	PROPN
fis-1230	98	10	and	and	CCONJ
fis-1230	98	11	3	3	NUM
fis-1230	98	12	h	h	NOUN
fis-1230	98	13	,	,	PUNCT
fis-1230	98	14	jp	jp	NOUN
fis-1230	98	15	:	:	PUNCT
fis-1230	98	16	eq	eq	VERB
fis-1230	98	17	,	,	PUNCT
fis-1230	98	18	j	j	NOUN
fis-1230	98	19	=	=	SYM
fis-1230	98	20	seq(eq	seq(eq	PROPN
fis-1230	98	21	,	,	PUNCT
fis-1230	98	22	j	j	PROPN
fis-1230	98	23	,	,	PUNCT
fis-1230	98	24	3	3	NUM
fis-1230	98	25	h	h	NOUN
fis-1230	98	26	,	,	PUNCT
fis-1230	98	27	jp	jp	NOUN
fis-1230	98	28	)	)	PUNCT
fis-1230	98	29	(	(	PUNCT
fis-1230	98	30	17	17	NUM
fis-1230	98	31	)	)	PUNCT
fis-1230	98	32	this	this	PRON
fis-1230	98	33	can	can	AUX
fis-1230	98	34	be	be	AUX
fis-1230	98	35	better	well	ADV
fis-1230	98	36	illustrated	illustrate	VERB
fis-1230	98	37	by	by	ADP
fis-1230	98	38	a	a	DET
fis-1230	98	39	simple	simple	ADJ
fis-1230	98	40	example	example	NOUN
fis-1230	98	41	:	:	PUNCT
fis-1230	98	42	in	in	ADP
fis-1230	98	43	the	the	DET
fis-1230	98	44	“	"	PUNCT
fis-1230	98	45	mmpds	mmpds	PROPN
fis-1230	98	46	”	"	PUNCT
fis-1230	98	47	handbook	handbook	NOUN
fis-1230	98	48	[	[	X
fis-1230	98	49	15	15	NUM
fis-1230	98	50	]	]	X
fis-1230	98	51	the	the	DET
fis-1230	98	52	expression	expression	NOUN
fis-1230	98	53	of	of	ADP
fis-1230	98	54	the	the	DET
fis-1230	98	55	equivalent	equivalent	ADJ
fis-1230	98	56	stress	stress	NOUN
fis-1230	98	57	for	for	ADP
fis-1230	98	58	uniaxial	uniaxial	ADJ
fis-1230	98	59	ca	ca	NOUN
fis-1230	98	60	cycles	cycle	NOUN
fis-1230	98	61	is	be	AUX
fis-1230	98	62	given	give	VERB
fis-1230	98	63	by	by	ADP
fis-1230	98	64	the	the	DET
fis-1230	98	65	following	follow	VERB
fis-1230	98	66	formula	formula	NOUN
fis-1230	98	67	:	:	PUNCT
fis-1230	98	68	seq	seq	PROPN
fis-1230	98	69	=	=	PROPN
fis-1230	98	70	smax	smax	PROPN
fis-1230	98	71	(	(	PUNCT
fis-1230	98	72	1	1	NUM
fis-1230	98	73	-	-	PUNCT
fis-1230	98	74	r)q	r)q	NOUN
fis-1230	98	75	(	(	PUNCT
fis-1230	98	76	18	18	NUM
fis-1230	98	77	)	)	PUNCT
fis-1230	98	78	where	where	SCONJ
fis-1230	98	79	r	r	NOUN
fis-1230	98	80	is	be	AUX
fis-1230	98	81	the	the	DET
fis-1230	98	82	cycle	cycle	NOUN
fis-1230	98	83	ratio	ratio	NOUN
fis-1230	98	84	r	r	NOUN
fis-1230	98	85	=	=	SYM
fis-1230	98	86	smin	smin	PROPN
fis-1230	98	87	/	/	SYM
fis-1230	98	88	smax	smax	PROPN
fis-1230	98	89	.	.	PUNCT
fis-1230	99	1	conformingly	conformingly	ADV
fis-1230	99	2	to	to	ADP
fis-1230	99	3	the	the	DET
fis-1230	99	4	eq	eq	NOUN
fis-1230	99	5	.	.	PUNCT
fis-1230	100	1	(	(	PUNCT
fis-1230	100	2	16	16	NUM
fis-1230	100	3	)	)	PUNCT
fis-1230	100	4	this	this	DET
fis-1230	100	5	equation	equation	NOUN
fis-1230	100	6	can	can	AUX
fis-1230	100	7	be	be	AUX
fis-1230	100	8	rewritten	rewrite	VERB
fis-1230	100	9	in	in	ADP
fis-1230	100	10	terms	term	NOUN
fis-1230	100	11	of	of	ADP
fis-1230	100	12	sa	sa	NOUN
fis-1230	100	13	and	and	CCONJ
fis-1230	100	14	s	s	VERB
fis-1230	100	15	:	:	PUNCT
fis-1230	100	16	seq	seq	PROPN
fis-1230	100	17	=	=	SYM
fis-1230	100	18	1	1	NUM
fis-1230	100	19	q	q	NOUN
fis-1230	100	20	as	as	ADP
fis-1230	100	21	s	s	NOUN
fis-1230	100	22	2	2	NUM
fis-1230	100	23			PROPN
fis-1230	100	24			NOUN
fis-1230	100	25			NOUN
fis-1230	100	26			PROPN
fis-1230	100	27			PROPN
fis-1230	100	28			PROPN
fis-1230	100	29	saq	saq	NOUN
fis-1230	100	30	(	(	PUNCT
fis-1230	100	31	19	19	NUM
fis-1230	100	32	)	)	PUNCT
fis-1230	100	33	the	the	DET
fis-1230	100	34	application	application	NOUN
fis-1230	100	35	of	of	ADP
fis-1230	100	36	eq	eq	PROPN
fis-1230	100	37	.	.	PUNCT
fis-1230	101	1	(	(	PUNCT
fis-1230	101	2	17	17	NUM
fis-1230	101	3	)	)	PUNCT
fis-1230	101	4	gives	give	VERB
fis-1230	101	5	for	for	ADP
fis-1230	101	6	a	a	DET
fis-1230	101	7	given	give	VERB
fis-1230	101	8	stress	stress	NOUN
fis-1230	101	9	cycle	cycle	NOUN
fis-1230	101	10	‘	'	PUNCT
fis-1230	101	11	j	j	NOUN
fis-1230	101	12	’	'	PUNCT
fis-1230	101	13	:	:	PUNCT
fis-1230	101	14			PROPN
fis-1230	101	15	eq	eq	PROPN
fis-1230	101	16	,	,	PUNCT
fis-1230	101	17	j	j	NOUN
fis-1230	102	1	=	=	SYM
fis-1230	102	2	1	1	NUM
fis-1230	102	3	q	q	NOUN
fis-1230	102	4	eq	eq	NOUN
fis-1230	102	5	,	,	PUNCT
fis-1230	102	6	j	j	PROPN
fis-1230	102	7	h	h	PROPN
fis-1230	102	8	,	,	PUNCT
fis-1230	102	9	j	j	PROPN
fis-1230	102	10	τ	τ	PROPN
fis-1230	102	11	3p	3p	NUM
fis-1230	102	12	2	2	NUM
fis-1230	102	13			PROPN
fis-1230	102	14			NOUN
fis-1230	102	15			NOUN
fis-1230	102	16			PROPN
fis-1230	102	17			PROPN
fis-1230	102	18			PROPN
fis-1230	102	19			NOUN
fis-1230	102	20	eq	eq	NOUN
fis-1230	102	21	,	,	PUNCT
fis-1230	102	22	j	j	PROPN
fis-1230	102	23	q	q	X
fis-1230	102	24	(	(	PUNCT
fis-1230	102	25	20	20	NUM
fis-1230	102	26	)	)	PUNCT
fis-1230	102	27	the	the	DET
fis-1230	102	28	so	so	ADV
fis-1230	102	29	-	-	PUNCT
fis-1230	102	30	calculated	calculate	VERB
fis-1230	102	31	equivalent	equivalent	ADJ
fis-1230	102	32	fatigue	fatigue	NOUN
fis-1230	102	33	stress	stress	NOUN
fis-1230	102	34	eq	eq	PROPN
fis-1230	102	35	,	,	PUNCT
fis-1230	102	36	j	j	PROPN
fis-1230	102	37	can	can	AUX
fis-1230	102	38	be	be	AUX
fis-1230	102	39	then	then	ADV
fis-1230	102	40	entered	enter	VERB
fis-1230	102	41	directly	directly	ADV
fis-1230	102	42	in	in	ADP
fis-1230	102	43	a	a	DET
fis-1230	102	44	seq	seq	ADJ
fis-1230	102	45	-	-	PUNCT
fis-1230	102	46	n	n	ADV
fis-1230	102	47	curve	curve	NOUN
fis-1230	102	48	available	available	ADJ
fis-1230	102	49	for	for	ADP
fis-1230	102	50	a	a	DET
fis-1230	102	51	material	material	NOUN
fis-1230	102	52	,	,	PUNCT
fis-1230	102	53	in	in	ADP
fis-1230	102	54	order	order	NOUN
fis-1230	102	55	to	to	PART
fis-1230	102	56	calculate	calculate	VERB
fis-1230	102	57	the	the	DET
fis-1230	102	58	damage	damage	NOUN
fis-1230	102	59	made	make	VERB
fis-1230	102	60	by	by	ADP
fis-1230	102	61	a	a	DET
fis-1230	102	62	single	single	ADJ
fis-1230	102	63	stress	stress	NOUN
fis-1230	102	64	cycle	cycle	NOUN
fis-1230	102	65	.	.	PUNCT
fis-1230	103	1	however	however	ADV
fis-1230	103	2	,	,	PUNCT
fis-1230	103	3	an	an	DET
fis-1230	103	4	important	important	ADJ
fis-1230	103	5	remark	remark	NOUN
fis-1230	103	6	must	must	AUX
fis-1230	103	7	be	be	AUX
fis-1230	103	8	made	make	VERB
fis-1230	103	9	:	:	PUNCT
fis-1230	103	10	in	in	ADP
fis-1230	103	11	the	the	DET
fis-1230	103	12	evaluation	evaluation	NOUN
fis-1230	103	13	of	of	ADP
fis-1230	103	14	their	their	PRON
fis-1230	103	15	damage	damage	NOUN
fis-1230	103	16	,	,	PUNCT
fis-1230	103	17	the	the	DET
fis-1230	103	18	yield	yield	NOUN
fis-1230	103	19	surfaces	surface	NOUN
fis-1230	103	20	obtained	obtain	VERB
fis-1230	103	21	by	by	ADP
fis-1230	103	22	the	the	DET
fis-1230	103	23	procedure	procedure	NOUN
fis-1230	103	24	described	describe	VERB
fis-1230	103	25	above	above	ADV
fis-1230	103	26	must	must	AUX
fis-1230	103	27	be	be	AUX
fis-1230	103	28	considered	consider	VERB
fis-1230	103	29	as	as	ADP
fis-1230	103	30	half	half	ADJ
fis-1230	103	31	-	-	PUNCT
fis-1230	103	32	cycles	cycle	NOUN
fis-1230	103	33	(	(	PUNCT
fis-1230	103	34	or	or	CCONJ
fis-1230	103	35	stress	stress	NOUN
fis-1230	103	36	-	-	PUNCT
fis-1230	103	37	reversals	reversal	NOUN
fis-1230	103	38	)	)	PUNCT
fis-1230	103	39	and	and	CCONJ
fis-1230	103	40	not	not	PART
fis-1230	103	41	as	as	ADP
fis-1230	103	42	entire	entire	ADJ
fis-1230	103	43	cycles	cycle	NOUN
fis-1230	103	44	.	.	PUNCT
fis-1230	104	1	this	this	PRON
fis-1230	104	2	can	can	AUX
fis-1230	104	3	be	be	AUX
fis-1230	104	4	well	well	INTJ
fis-1230	104	5	i	i	PRON
fis-1230	104	6	http://www.gruppofrattura.it	http://www.gruppofrattura.it	VERB
fis-1230	104	7	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ
fis-1230	104	8	m.	m.	NOUN
fis-1230	104	9	malnati	malnati	PROPN
fis-1230	104	10	,	,	PUNCT
fis-1230	104	11	frattura	frattura	PROPN
fis-1230	104	12	ed	ed	PROPN
fis-1230	104	13	integrità	integrità	PROPN
fis-1230	104	14	strutturale	strutturale	PROPN
fis-1230	104	15	,	,	PUNCT
fis-1230	104	16	28	28	NUM
fis-1230	104	17	(	(	PUNCT
fis-1230	104	18	2014	2014	NUM
fis-1230	104	19	)	)	PUNCT
fis-1230	104	20	12	12	NUM
fis-1230	104	21	-	-	SYM
fis-1230	104	22	18	18	NUM
fis-1230	104	23	;	;	PUNCT
fis-1230	104	24	doi	doi	NOUN
fis-1230	104	25	:	:	PUNCT
fis-1230	104	26	10.3221	10.3221	NUM
fis-1230	104	27	/	/	SYM
fis-1230	104	28	igf	igf	PROPN
fis-1230	104	29	-	-	ADJ
fis-1230	104	30	esis.28.02	esis.28.02	ADJ
fis-1230	104	31	17	17	NUM
fis-1230	104	32	understood	understand	VERB
fis-1230	104	33	when	when	SCONJ
fis-1230	104	34	thinking	think	VERB
fis-1230	104	35	that	that	SCONJ
fis-1230	104	36	in	in	ADP
fis-1230	104	37	the	the	DET
fis-1230	104	38	present	present	ADJ
fis-1230	104	39	approach	approach	NOUN
fis-1230	104	40	,	,	PUNCT
fis-1230	104	41	when	when	SCONJ
fis-1230	104	42	the	the	DET
fis-1230	104	43	stress	stress	NOUN
fis-1230	104	44	point	point	NOUN
fis-1230	104	45	goes	go	VERB
fis-1230	104	46	forth	forth	ADV
fis-1230	104	47	and	and	CCONJ
fis-1230	104	48	back	back	ADV
fis-1230	104	49	on	on	ADP
fis-1230	104	50	a	a	DET
fis-1230	104	51	segment	segment	NOUN
fis-1230	104	52	from	from	ADP
fis-1230	104	53	a	a	DET
fis-1230	104	54	point	point	NOUN
fis-1230	104	55	to	to	ADP
fis-1230	104	56	a	a	DET
fis-1230	104	57	second	second	ADJ
fis-1230	104	58	point	point	NOUN
fis-1230	104	59	and	and	CCONJ
fis-1230	104	60	then	then	ADV
fis-1230	104	61	back	back	ADV
fis-1230	104	62	to	to	ADP
fis-1230	104	63	the	the	DET
fis-1230	104	64	initial	initial	ADJ
fis-1230	104	65	point	point	NOUN
fis-1230	104	66	then	then	ADV
fis-1230	104	67	two	two	NUM
fis-1230	104	68	identical	identical	ADJ
fis-1230	104	69	yield	yield	NOUN
fis-1230	104	70	surfaces	surface	NOUN
fis-1230	104	71	are	be	AUX
fis-1230	104	72	created	create	VERB
fis-1230	104	73	.	.	PUNCT
fis-1230	105	1	explicitly	explicitly	ADV
fis-1230	105	2	:	:	PUNCT
fis-1230	105	3	if	if	SCONJ
fis-1230	105	4	a	a	DET
fis-1230	105	5	seq	seq	ADJ
fis-1230	105	6	-	-	PUNCT
fis-1230	105	7	n	n	PRON
fis-1230	105	8	curve	curve	NOUN
fis-1230	105	9	is	be	AUX
fis-1230	105	10	available	available	ADJ
fis-1230	105	11	in	in	ADP
fis-1230	105	12	which	which	PRON
fis-1230	105	13	n	n	ADV
fis-1230	105	14	has	have	VERB
fis-1230	105	15	the	the	DET
fis-1230	105	16	meaning	meaning	NOUN
fis-1230	105	17	of	of	ADP
fis-1230	105	18	number	number	NOUN
fis-1230	105	19	of	of	ADP
fis-1230	105	20	complete	complete	ADJ
fis-1230	105	21	cycles	cycle	NOUN
fis-1230	105	22	(	(	PUNCT
fis-1230	105	23	from	from	ADP
fis-1230	105	24	peak	peak	NOUN
fis-1230	105	25	to	to	PART
fis-1230	105	26	peak	peak	VERB
fis-1230	105	27	)	)	PUNCT
fis-1230	105	28	,	,	PUNCT
fis-1230	105	29	then	then	ADV
fis-1230	105	30	the	the	DET
fis-1230	105	31	damage	damage	NOUN
fis-1230	105	32	dj	dj	NOUN
fis-1230	105	33	associated	associate	VERB
fis-1230	105	34	to	to	ADP
fis-1230	105	35	the	the	DET
fis-1230	105	36	yield	yield	NOUN
fis-1230	105	37	surface	surface	NOUN
fis-1230	105	38	‘	'	PUNCT
fis-1230	105	39	j	j	NOUN
fis-1230	105	40	’	'	PUNCT
fis-1230	105	41	calculated	calculate	VERB
fis-1230	105	42	with	with	ADP
fis-1230	105	43	the	the	DET
fis-1230	105	44	present	present	ADJ
fis-1230	105	45	method	method	NOUN
fis-1230	105	46	will	will	AUX
fis-1230	105	47	be	be	AUX
fis-1230	105	48	:	:	PUNCT
fis-1230	105	49	dj	dj	X
fis-1230	105	50	=	=	SYM
fis-1230	105	51	j	j	PROPN
fis-1230	105	52	1	1	NUM
fis-1230	105	53	2n	2n	NUM
fis-1230	105	54	(	(	PUNCT
fis-1230	105	55	21	21	NUM
fis-1230	105	56	)	)	PUNCT
fis-1230	105	57	where	where	SCONJ
fis-1230	105	58	nj	nj	PROPN
fis-1230	105	59	is	be	AUX
fis-1230	105	60	the	the	DET
fis-1230	105	61	number	number	NOUN
fis-1230	105	62	of	of	ADP
fis-1230	105	63	cycles	cycle	NOUN
fis-1230	105	64	on	on	ADP
fis-1230	105	65	the	the	DET
fis-1230	105	66	seq	seq	NOUN
fis-1230	105	67	-	-	PUNCT
fis-1230	105	68	n	n	ADV
fis-1230	105	69	curve	curve	NOUN
fis-1230	105	70	corresponding	correspond	VERB
fis-1230	105	71	to	to	ADP
fis-1230	105	72	eq	eq	PROPN
fis-1230	105	73	,	,	PUNCT
fis-1230	105	74	j.	j.	PROPN
fis-1230	105	75	using	use	VERB
fis-1230	105	76	the	the	DET
fis-1230	105	77	palmgren	palmgren	NOUN
fis-1230	105	78	-	-	PUNCT
fis-1230	105	79	miner	miner	NOUN
fis-1230	105	80	law	law	NOUN
fis-1230	105	81	,	,	PUNCT
fis-1230	105	82	the	the	DET
fis-1230	105	83	total	total	ADJ
fis-1230	105	84	damage	damage	NOUN
fis-1230	105	85	d	d	NOUN
fis-1230	105	86	at	at	ADP
fis-1230	105	87	a	a	DET
fis-1230	105	88	given	give	VERB
fis-1230	105	89	instant	instant	NOUN
fis-1230	105	90	of	of	ADP
fis-1230	105	91	the	the	DET
fis-1230	105	92	complete	complete	ADJ
fis-1230	105	93	stress	stress	NOUN
fis-1230	105	94	history	history	NOUN
fis-1230	105	95	is	be	AUX
fis-1230	105	96	given	give	VERB
fis-1230	105	97	by	by	ADP
fis-1230	105	98	:	:	PUNCT
fis-1230	105	99	d	d	X
fis-1230	105	100	=	=	SYM
fis-1230	105	101	j	j	PROPN
fis-1230	105	102	j	j	PROPN
fis-1230	105	103	d	d	PROPN
fis-1230	105	104	(	(	PUNCT
fis-1230	105	105	22	22	NUM
fis-1230	105	106	)	)	PUNCT
fis-1230	105	107	preliminary	preliminary	ADJ
fis-1230	105	108	validation	validation	NOUN
fis-1230	105	109	of	of	ADP
fis-1230	105	110	the	the	DET
fis-1230	105	111	methodology	methodology	NOUN
fis-1230	105	112	he	he	PRON
fis-1230	105	113	approach	approach	NOUN
fis-1230	105	114	presented	present	VERB
fis-1230	105	115	in	in	ADP
fis-1230	105	116	this	this	DET
fis-1230	105	117	paper	paper	NOUN
fis-1230	105	118	needs	need	VERB
fis-1230	105	119	obviously	obviously	ADV
fis-1230	105	120	at	at	ADP
fis-1230	105	121	least	least	ADJ
fis-1230	105	122	firstly	firstly	ADV
fis-1230	105	123	a	a	DET
fis-1230	105	124	robust	robust	ADJ
fis-1230	105	125	numerical	numerical	ADJ
fis-1230	105	126	implementation	implementation	NOUN
fis-1230	105	127	and	and	CCONJ
fis-1230	105	128	secondly	secondly	ADV
fis-1230	105	129	a	a	DET
fis-1230	105	130	wide	wide	ADJ
fis-1230	105	131	validation	validation	NOUN
fis-1230	105	132	,	,	PUNCT
fis-1230	105	133	by	by	ADP
fis-1230	105	134	comparison	comparison	NOUN
fis-1230	105	135	with	with	ADP
fis-1230	105	136	data	datum	NOUN
fis-1230	105	137	coming	come	VERB
fis-1230	105	138	from	from	ADP
fis-1230	105	139	test	test	NOUN
fis-1230	105	140	or	or	CCONJ
fis-1230	105	141	literature	literature	NOUN
fis-1230	105	142	.	.	PUNCT
fis-1230	106	1	this	this	DET
fis-1230	106	2	activity	activity	NOUN
fis-1230	106	3	is	be	AUX
fis-1230	106	4	in	in	ADP
fis-1230	106	5	progress	progress	NOUN
fis-1230	106	6	,	,	PUNCT
fis-1230	106	7	in	in	ADP
fis-1230	106	8	order	order	NOUN
fis-1230	106	9	to	to	PART
fis-1230	106	10	reach	reach	VERB
fis-1230	106	11	a	a	DET
fis-1230	106	12	comprehensive	comprehensive	ADJ
fis-1230	106	13	substantiation	substantiation	NOUN
fis-1230	106	14	of	of	ADP
fis-1230	106	15	the	the	DET
fis-1230	106	16	methodology	methodology	NOUN
fis-1230	106	17	.	.	PUNCT
fis-1230	107	1	it	it	PRON
fis-1230	107	2	is	be	AUX
fis-1230	107	3	the	the	DET
fis-1230	107	4	intention	intention	NOUN
fis-1230	107	5	of	of	ADP
fis-1230	107	6	the	the	DET
fis-1230	107	7	author	author	NOUN
fis-1230	107	8	to	to	PART
fis-1230	107	9	present	present	VERB
fis-1230	107	10	the	the	DET
fis-1230	107	11	complete	complete	ADJ
fis-1230	107	12	results	result	NOUN
fis-1230	107	13	in	in	ADP
fis-1230	107	14	a	a	DET
fis-1230	107	15	forthcoming	forthcoming	ADJ
fis-1230	107	16	publication	publication	NOUN
fis-1230	107	17	.	.	PUNCT
fis-1230	108	1	at	at	ADP
fis-1230	108	2	the	the	DET
fis-1230	108	3	present	present	ADJ
fis-1230	108	4	time	time	NOUN
fis-1230	108	5	,	,	PUNCT
fis-1230	108	6	the	the	DET
fis-1230	108	7	main	main	ADJ
fis-1230	108	8	purpose	purpose	NOUN
fis-1230	108	9	of	of	ADP
fis-1230	108	10	the	the	DET
fis-1230	108	11	paper	paper	NOUN
fis-1230	108	12	is	be	AUX
fis-1230	108	13	to	to	PART
fis-1230	108	14	submit	submit	VERB
fis-1230	108	15	,	,	PUNCT
fis-1230	108	16	in	in	ADP
fis-1230	108	17	a	a	DET
fis-1230	108	18	first	first	ADJ
fis-1230	108	19	time	time	NOUN
fis-1230	108	20	,	,	PUNCT
fis-1230	108	21	this	this	DET
fis-1230	108	22	methodology	methodology	NOUN
fis-1230	108	23	to	to	ADP
fis-1230	108	24	the	the	DET
fis-1230	108	25	judgment	judgment	NOUN
fis-1230	108	26	of	of	ADP
fis-1230	108	27	the	the	DET
fis-1230	108	28	community	community	NOUN
fis-1230	108	29	working	work	VERB
fis-1230	108	30	in	in	ADP
fis-1230	108	31	the	the	DET
fis-1230	108	32	field	field	NOUN
fis-1230	108	33	of	of	ADP
fis-1230	108	34	the	the	DET
fis-1230	108	35	fatigue	fatigue	NOUN
fis-1230	108	36	analysis	analysis	NOUN
fis-1230	108	37	and	and	CCONJ
fis-1230	108	38	dealing	deal	VERB
fis-1230	108	39	with	with	ADP
fis-1230	108	40	the	the	DET
fis-1230	108	41	necessity	necessity	NOUN
fis-1230	108	42	of	of	ADP
fis-1230	108	43	treating	treat	VERB
fis-1230	108	44	complicated	complicated	ADJ
fis-1230	108	45	spectra	spectra	ADJ
fis-1230	108	46	and	and	CCONJ
fis-1230	108	47	non	non	ADJ
fis-1230	108	48	-	-	ADJ
fis-1230	108	49	proportional	proportional	ADJ
fis-1230	108	50	loading	loading	NOUN
fis-1230	108	51	in	in	ADP
fis-1230	108	52	a	a	DET
fis-1230	108	53	hcf	hcf	PROPN
fis-1230	108	54	multiaxial	multiaxial	ADJ
fis-1230	108	55	context	context	NOUN
fis-1230	108	56	.	.	PUNCT
fis-1230	109	1	nevertheless	nevertheless	ADV
fis-1230	109	2	,	,	PUNCT
fis-1230	109	3	a	a	DET
fis-1230	109	4	first	first	ADJ
fis-1230	109	5	important	important	ADJ
fis-1230	109	6	element	element	NOUN
fis-1230	109	7	of	of	ADP
fis-1230	109	8	the	the	DET
fis-1230	109	9	validation	validation	NOUN
fis-1230	109	10	process	process	NOUN
fis-1230	109	11	is	be	AUX
fis-1230	109	12	presented	present	VERB
fis-1230	109	13	here	here	ADV
fis-1230	109	14	:	:	PUNCT
fis-1230	109	15	the	the	DET
fis-1230	109	16	scope	scope	NOUN
fis-1230	109	17	is	be	AUX
fis-1230	109	18	to	to	PART
fis-1230	109	19	prove	prove	VERB
fis-1230	109	20	that	that	SCONJ
fis-1230	109	21	for	for	ADP
fis-1230	109	22	an	an	DET
fis-1230	109	23	uniaxial	uniaxial	ADJ
fis-1230	109	24	closed	closed	ADJ
fis-1230	109	25	sequence	sequence	NOUN
fis-1230	109	26	having	have	VERB
fis-1230	109	27	variable	variable	ADJ
fis-1230	109	28	amplitude	amplitude	NOUN
fis-1230	109	29	(	(	PUNCT
fis-1230	109	30	va	va	NOUN
fis-1230	109	31	)	)	PUNCT
fis-1230	109	32	cycles	cycle	NOUN
fis-1230	109	33	,	,	PUNCT
fis-1230	109	34	the	the	DET
fis-1230	109	35	present	present	ADJ
fis-1230	109	36	methodology	methodology	NOUN
fis-1230	109	37	is	be	AUX
fis-1230	109	38	equivalent	equivalent	ADJ
fis-1230	109	39	to	to	ADP
fis-1230	109	40	a	a	DET
fis-1230	109	41	classical	classical	ADJ
fis-1230	109	42	1	1	NUM
fis-1230	109	43	-	-	PUNCT
fis-1230	109	44	d	d	NOUN
fis-1230	109	45	rainflow	rainflow	NOUN
fis-1230	109	46	counting	counting	NOUN
fis-1230	109	47	(	(	PUNCT
fis-1230	109	48	see	see	VERB
fis-1230	109	49	e.g.	e.g.	ADV
fis-1230	109	50	[	[	X
fis-1230	109	51	1	1	NUM
fis-1230	109	52	]	]	PUNCT
fis-1230	109	53	)	)	PUNCT
fis-1230	109	54	in	in	ADP
fis-1230	109	55	the	the	DET
fis-1230	109	56	sense	sense	NOUN
fis-1230	109	57	that	that	SCONJ
fis-1230	109	58	the	the	DET
fis-1230	109	59	size	size	NOUN
fis-1230	109	60	eq	eq	NOUN
fis-1230	109	61	of	of	ADP
fis-1230	109	62	the	the	DET
fis-1230	109	63	yield	yield	NOUN
fis-1230	109	64	surfaces	surface	NOUN
fis-1230	109	65	is	be	AUX
fis-1230	109	66	equal	equal	ADJ
fis-1230	109	67	to	to	ADP
fis-1230	109	68	the	the	DET
fis-1230	109	69	amplitude	amplitude	NOUN
fis-1230	109	70	of	of	ADP
fis-1230	109	71	the	the	DET
fis-1230	109	72	1	1	NUM
fis-1230	109	73	-	-	PUNCT
fis-1230	109	74	d	d	NOUN
fis-1230	109	75	stress	stress	NOUN
fis-1230	109	76	cycles	cycle	NOUN
fis-1230	109	77	extracted	extract	VERB
fis-1230	109	78	by	by	ADP
fis-1230	109	79	the	the	DET
fis-1230	109	80	rainflow	rainflow	NOUN
fis-1230	109	81	.	.	PUNCT
fis-1230	110	1	this	this	PRON
fis-1230	110	2	has	have	AUX
fis-1230	110	3	been	be	AUX
fis-1230	110	4	tested	test	VERB
fis-1230	110	5	by	by	ADP
fis-1230	110	6	comparison	comparison	NOUN
fis-1230	110	7	between	between	ADP
fis-1230	110	8	the	the	DET
fis-1230	110	9	present	present	ADJ
fis-1230	110	10	procedure	procedure	NOUN
fis-1230	110	11	and	and	CCONJ
fis-1230	110	12	the	the	DET
fis-1230	110	13	rainflow	rainflow	ADJ
fis-1230	110	14	counting	counting	NOUN
fis-1230	110	15	prescribed	prescribe	VERB
fis-1230	110	16	in	in	ADP
fis-1230	110	17	[	[	X
fis-1230	110	18	16	16	NUM
fis-1230	110	19	]	]	X
fis-1230	110	20	:	:	PUNCT
fis-1230	110	21	namely	namely	ADV
fis-1230	110	22	,	,	PUNCT
fis-1230	110	23	a	a	DET
fis-1230	110	24	set	set	NOUN
fis-1230	110	25	of	of	ADP
fis-1230	110	26	10	10	NUM
fis-1230	110	27	uniaxial	uniaxial	ADJ
fis-1230	110	28	stress	stress	NOUN
fis-1230	110	29	sequences	sequence	NOUN
fis-1230	110	30	has	have	AUX
fis-1230	110	31	been	be	AUX
fis-1230	110	32	created	create	VERB
fis-1230	110	33	,	,	PUNCT
fis-1230	110	34	each	each	DET
fis-1230	110	35	one	one	NUM
fis-1230	110	36	made	make	VERB
fis-1230	110	37	of	of	ADP
fis-1230	110	38	50	50	NUM
fis-1230	110	39	stress	stress	NOUN
fis-1230	110	40	points	point	NOUN
fis-1230	110	41	randomly	randomly	ADV
fis-1230	110	42	generated	generate	VERB
fis-1230	110	43	with	with	ADP
fis-1230	110	44	probability	probability	NOUN
fis-1230	110	45	uniformly	uniformly	ADV
fis-1230	110	46	distributed	distribute	VERB
fis-1230	110	47	between	between	ADP
fis-1230	110	48	-100	-100	PROPN
fis-1230	110	49	and	and	CCONJ
fis-1230	110	50	+100	+100	NUM
fis-1230	110	51	mpa	mpa	PROPN
fis-1230	110	52	.	.	PUNCT
fis-1230	111	1	the	the	DET
fis-1230	111	2	stress	stress	NOUN
fis-1230	111	3	points	point	NOUN
fis-1230	111	4	have	have	AUX
fis-1230	111	5	been	be	AUX
fis-1230	111	6	preliminarily	preliminarily	ADV
fis-1230	111	7	discretized	discretize	VERB
fis-1230	111	8	using	use	VERB
fis-1230	111	9	a	a	DET
fis-1230	111	10	step	step	NOUN
fis-1230	111	11	of	of	ADP
fis-1230	111	12	1	1	NUM
fis-1230	111	13	mpa	mpa	NOUN
fis-1230	111	14	.	.	PUNCT
fis-1230	112	1	the	the	DET
fis-1230	112	2	cycles	cycle	NOUN
fis-1230	112	3	extracted	extract	VERB
fis-1230	112	4	from	from	ADP
fis-1230	112	5	both	both	DET
fis-1230	112	6	the	the	DET
fis-1230	112	7	rainflow	rainflow	ADJ
fis-1230	112	8	procedure	procedure	NOUN
fis-1230	112	9	[	[	X
fis-1230	112	10	16	16	NUM
fis-1230	112	11	]	]	PUNCT
fis-1230	112	12	and	and	CCONJ
fis-1230	112	13	the	the	DET
fis-1230	112	14	present	present	ADJ
fis-1230	112	15	approach	approach	NOUN
fis-1230	112	16	have	have	AUX
fis-1230	112	17	been	be	AUX
fis-1230	112	18	compared	compare	VERB
fis-1230	112	19	in	in	ADP
fis-1230	112	20	terms	term	NOUN
fis-1230	112	21	of	of	ADP
fis-1230	112	22	stress	stress	NOUN
fis-1230	112	23	amplitude	amplitude	NOUN
fis-1230	112	24	and	and	CCONJ
fis-1230	112	25	they	they	PRON
fis-1230	112	26	have	have	AUX
fis-1230	112	27	been	be	AUX
fis-1230	112	28	found	find	VERB
fis-1230	112	29	to	to	PART
fis-1230	112	30	be	be	AUX
fis-1230	112	31	strictly	strictly	ADV
fis-1230	112	32	identical	identical	ADJ
fis-1230	112	33	.	.	PUNCT
fis-1230	113	1	the	the	DET
fis-1230	113	2	figure	figure	NOUN
fis-1230	113	3	below	below	ADV
fis-1230	113	4	gives	give	VERB
fis-1230	113	5	for	for	ADP
fis-1230	113	6	one	one	NUM
fis-1230	113	7	of	of	ADP
fis-1230	113	8	the	the	DET
fis-1230	113	9	sequences	sequence	NOUN
fis-1230	113	10	the	the	DET
fis-1230	113	11	stress	stress	NOUN
fis-1230	113	12	points	point	VERB
fis-1230	113	13	as	as	ADV
fis-1230	113	14	well	well	ADV
fis-1230	113	15	as	as	ADP
fis-1230	113	16	the	the	DET
fis-1230	113	17	cycles	cycle	NOUN
fis-1230	113	18	extracted	extract	VERB
fis-1230	113	19	with	with	ADP
fis-1230	113	20	the	the	DET
fis-1230	113	21	two	two	NUM
fis-1230	113	22	methods	method	NOUN
fis-1230	113	23	.	.	PUNCT
fis-1230	114	1	figure	figure	NOUN
fis-1230	114	2	5	5	NUM
fis-1230	114	3	:	:	PUNCT
fis-1230	114	4	stress	stress	NOUN
fis-1230	114	5	points	point	NOUN
fis-1230	114	6	of	of	ADP
fis-1230	114	7	a	a	DET
fis-1230	114	8	test	test	NOUN
fis-1230	114	9	-	-	PUNCT
fis-1230	114	10	sequence	sequence	NOUN
fis-1230	114	11	and	and	CCONJ
fis-1230	114	12	amplitude	amplitude	NOUN
fis-1230	114	13	of	of	ADP
fis-1230	114	14	extracted	extract	VERB
fis-1230	114	15	cycles	cycle	NOUN
fis-1230	114	16	.	.	PUNCT
fis-1230	115	1	conclusions	conclusion	NOUN
fis-1230	115	2	n	n	CCONJ
fis-1230	115	3	the	the	DET
fis-1230	115	4	previous	previous	ADJ
fis-1230	115	5	paragraphs	paragraph	NOUN
fis-1230	115	6	a	a	DET
fis-1230	115	7	general	general	ADJ
fis-1230	115	8	approach	approach	NOUN
fis-1230	115	9	for	for	ADP
fis-1230	115	10	multiaxial	multiaxial	ADJ
fis-1230	115	11	hcf	hcf	PROPN
fis-1230	115	12	crack	crack	NOUN
fis-1230	115	13	initiation	initiation	NOUN
fis-1230	115	14	assessment	assessment	NOUN
fis-1230	115	15	has	have	AUX
fis-1230	115	16	been	be	AUX
fis-1230	115	17	presented	present	VERB
fis-1230	115	18	.	.	PUNCT
fis-1230	116	1	as	as	SCONJ
fis-1230	116	2	mentioned	mention	VERB
fis-1230	116	3	in	in	ADP
fis-1230	116	4	the	the	DET
fis-1230	116	5	preliminary	preliminary	ADJ
fis-1230	116	6	validation	validation	NOUN
fis-1230	116	7	of	of	ADP
fis-1230	116	8	the	the	DET
fis-1230	116	9	methodology	methodology	NOUN
fis-1230	116	10	paragraph	paragraph	NOUN
fis-1230	116	11	,	,	PUNCT
fis-1230	116	12	its	its	PRON
fis-1230	116	13	validation	validation	NOUN
fis-1230	116	14	by	by	ADP
fis-1230	116	15	comparison	comparison	NOUN
fis-1230	116	16	with	with	ADP
fis-1230	116	17	available	available	ADJ
fis-1230	116	18	experimental	experimental	ADJ
fis-1230	116	19	data	datum	NOUN
fis-1230	116	20	is	be	AUX
fis-1230	116	21	in	in	ADP
fis-1230	116	22	progress	progress	NOUN
fis-1230	116	23	and	and	CCONJ
fis-1230	116	24	will	will	AUX
fis-1230	116	25	be	be	AUX
fis-1230	116	26	enclosed	enclose	VERB
fis-1230	116	27	in	in	ADP
fis-1230	116	28	a	a	DET
fis-1230	116	29	future	future	ADJ
fis-1230	116	30	publication	publication	NOUN
fis-1230	116	31	.	.	PUNCT
fis-1230	117	1	t	t	PROPN
fis-1230	117	2	i	i	PRON
fis-1230	117	3	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-1230	117	4	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ
fis-1230	117	5	m.	m.	NOUN
fis-1230	117	6	malnati	malnati	PROPN
fis-1230	117	7	,	,	PUNCT
fis-1230	117	8	frattura	frattura	PROPN
fis-1230	117	9	ed	ed	PROPN
fis-1230	117	10	integrità	integrità	PROPN
fis-1230	117	11	strutturale	strutturale	PROPN
fis-1230	117	12	,	,	PUNCT
fis-1230	117	13	28	28	NUM
fis-1230	117	14	(	(	PUNCT
fis-1230	117	15	2014	2014	NUM
fis-1230	117	16	)	)	PUNCT
fis-1230	117	17	12	12	NUM
fis-1230	117	18	-	-	SYM
fis-1230	117	19	18	18	NUM
fis-1230	117	20	;	;	PUNCT
fis-1230	117	21	doi	doi	NOUN
fis-1230	117	22	:	:	PUNCT
fis-1230	117	23	10.3221	10.3221	NUM
fis-1230	117	24	/	/	SYM
fis-1230	117	25	igf	igf	PROPN
fis-1230	117	26	-	-	ADJ
fis-1230	117	27	esis.28.02	esis.28.02	ADJ
fis-1230	117	28	18	18	NUM
fis-1230	117	29	regarding	regard	VERB
fis-1230	117	30	the	the	DET
fis-1230	117	31	evolution	evolution	NOUN
fis-1230	117	32	of	of	ADP
fis-1230	117	33	this	this	DET
fis-1230	117	34	work	work	NOUN
fis-1230	117	35	a	a	DET
fis-1230	117	36	first	first	ADJ
fis-1230	117	37	significant	significant	ADJ
fis-1230	117	38	enhancement	enhancement	NOUN
fis-1230	117	39	should	should	AUX
fis-1230	117	40	be	be	AUX
fis-1230	117	41	the	the	DET
fis-1230	117	42	extension	extension	NOUN
fis-1230	117	43	to	to	PART
fis-1230	117	44	yield	yield	VERB
fis-1230	117	45	surfaces	surface	NOUN
fis-1230	117	46	more	more	ADV
fis-1230	117	47	general	general	ADJ
fis-1230	117	48	than	than	ADP
fis-1230	117	49	the	the	DET
fis-1230	117	50	only	only	ADJ
fis-1230	117	51	von	von	PROPN
fis-1230	117	52	mises	mises	PROPN
fis-1230	117	53	hypersphere	hypersphere	PROPN
fis-1230	117	54	,	,	PUNCT
fis-1230	117	55	namely	namely	ADV
fis-1230	117	56	the	the	DET
fis-1230	117	57	possibility	possibility	NOUN
fis-1230	117	58	to	to	PART
fis-1230	117	59	use	use	VERB
fis-1230	117	60	non	non	ADJ
fis-1230	117	61	-	-	ADJ
fis-1230	117	62	smooth	smooth	ADJ
fis-1230	117	63	surfaces	surface	NOUN
fis-1230	117	64	based	base	VERB
fis-1230	117	65	for	for	ADP
fis-1230	117	66	example	example	NOUN
fis-1230	117	67	on	on	ADP
fis-1230	117	68	the	the	DET
fis-1230	117	69	tresca	tresca	NOUN
fis-1230	117	70	equivalent	equivalent	ADJ
fis-1230	117	71	stress	stress	NOUN
fis-1230	117	72	.	.	PUNCT
fis-1230	118	1	references	reference	NOUN
fis-1230	118	2	[	[	X
fis-1230	118	3	1	1	NUM
fis-1230	118	4	]	]	X
fis-1230	118	5	pinho	pinho	NOUN
fis-1230	118	6	de	de	X
fis-1230	118	7	castro	castro	PROPN
fis-1230	118	8	,	,	PUNCT
fis-1230	118	9	j.t	j.t	PROPN
fis-1230	118	10	.	.	PROPN
fis-1230	118	11	,	,	PUNCT
fis-1230	118	12	meggiolaro	meggiolaro	PROPN
fis-1230	118	13	,	,	PUNCT
fis-1230	118	14	m.a	m.a	PROPN
fis-1230	118	15	.	.	PROPN
fis-1230	118	16	,	,	PUNCT
fis-1230	118	17	fadiga	fadiga	ADV
fis-1230	118	18	técnicas	técnicas	VERB
fis-1230	118	19	e	e	X
fis-1230	118	20	práticas	práticas	PROPN
fis-1230	118	21	de	de	X
fis-1230	118	22	dimensionamento	dimensionamento	PROPN
fis-1230	118	23	estrutural	estrutural	ADJ
fis-1230	118	24	sob	sob	NOUN
fis-1230	118	25	cargas	cargas	X
fis-1230	118	26	reais	reais	PROPN
fis-1230	118	27	de	de	X
fis-1230	118	28	serviço	serviço	PROPN
fis-1230	118	29	:	:	PUNCT
fis-1230	118	30	volume	volume	NOUN
fis-1230	118	31	i	i	PRON
fis-1230	118	32	iniciação	iniciação	VERB
fis-1230	118	33	de	de	ADV
fis-1230	118	34	trincas	trincas	ADV
fis-1230	118	35	,	,	PUNCT
fis-1230	118	36	isbn-13	isbn-13	PROPN
fis-1230	118	37	:	:	PUNCT
fis-1230	118	38	978	978	NUM
fis-1230	118	39	-	-	SYM
fis-1230	118	40	1449514709	1449514709	NUM
fis-1230	118	41	,	,	PUNCT
fis-1230	118	42	createspace	createspace	NOUN
fis-1230	118	43	(	(	PUNCT
fis-1230	118	44	2009	2009	NUM
fis-1230	118	45	)	)	PUNCT
fis-1230	118	46	.	.	PUNCT
fis-1230	119	1	[	[	X
fis-1230	119	2	2	2	NUM
fis-1230	119	3	]	]	PUNCT
fis-1230	119	4	weber	weber	PROPN
fis-1230	119	5	,	,	PUNCT
fis-1230	119	6	b.	b.	PROPN
fis-1230	119	7	,	,	PUNCT
fis-1230	119	8	fatigue	fatigue	NOUN
fis-1230	119	9	multiaxiale	multiaxiale	PROPN
fis-1230	119	10	des	des	PROPN
fis-1230	119	11	structures	structure	NOUN
fis-1230	119	12	industrielles	industrielles	ADP
fis-1230	119	13	sous	sous	ADJ
fis-1230	119	14	chargement	chargement	PROPN
fis-1230	119	15	quelconque	quelconque	PROPN
fis-1230	119	16	,	,	PUNCT
fis-1230	119	17	phd	phd	NOUN
fis-1230	119	18	thesis	thesis	NOUN
fis-1230	119	19	,	,	PUNCT
fis-1230	119	20	insa	insa	PROPN
fis-1230	119	21	lyon	lyon	PROPN
fis-1230	119	22	(	(	PUNCT
fis-1230	119	23	1999	1999	NUM
fis-1230	119	24	)	)	PUNCT
fis-1230	119	25	.	.	PUNCT
fis-1230	120	1	[	[	X
fis-1230	120	2	3	3	NUM
fis-1230	120	3	]	]	PUNCT
fis-1230	120	4	jabbado	jabbado	NOUN
fis-1230	120	5	,	,	PUNCT
fis-1230	120	6	m.	m.	NOUN
fis-1230	120	7	,	,	PUNCT
fis-1230	120	8	fatigue	fatigue	NOUN
fis-1230	120	9	polycyclique	polycyclique	ADJ
fis-1230	120	10	des	des	PROPN
fis-1230	120	11	structures	structure	NOUN
fis-1230	120	12	métalliques	métallique	NOUN
fis-1230	120	13	:	:	PUNCT
fis-1230	120	14	durée	durée	PROPN
fis-1230	120	15	de	de	X
fis-1230	120	16	vie	vie	X
fis-1230	120	17	sous	sous	ADJ
fis-1230	120	18	chargements	chargement	NOUN
fis-1230	120	19	variables	variable	NOUN
fis-1230	120	20	,	,	PUNCT
fis-1230	120	21	phd	phd	NOUN
fis-1230	120	22	thesis	thesis	NOUN
fis-1230	120	23	,	,	PUNCT
fis-1230	120	24	école	école	PROPN
fis-1230	120	25	polythechnique	polythechnique	NOUN
fis-1230	120	26	(	(	PUNCT
fis-1230	120	27	2006	2006	NUM
fis-1230	120	28	)	)	PUNCT
fis-1230	120	29	.	.	PUNCT
fis-1230	121	1	[	[	X
fis-1230	121	2	4	4	NUM
fis-1230	121	3	]	]	X
fis-1230	121	4	papadopoulos	papadopoulos	PROPN
fis-1230	121	5	,	,	PUNCT
fis-1230	121	6	i.v	i.v	PROPN
fis-1230	121	7	.	.	PROPN
fis-1230	121	8	,	,	PUNCT
fis-1230	121	9	davoli	davoli	ADV
fis-1230	121	10	,	,	PUNCT
fis-1230	121	11	p.	p.	NOUN
fis-1230	121	12	,	,	PUNCT
fis-1230	121	13	gorla	gorla	PROPN
fis-1230	121	14	,	,	PUNCT
fis-1230	121	15	c.	c.	NOUN
fis-1230	121	16	,	,	PUNCT
fis-1230	121	17	filippini	filippini	NOUN
fis-1230	121	18	,	,	PUNCT
fis-1230	121	19	m.	m.	NOUN
fis-1230	121	20	,	,	PUNCT
fis-1230	121	21	bernasconi	bernasconi	PROPN
fis-1230	121	22	,	,	PUNCT
fis-1230	121	23	a.	a.	PROPN
fis-1230	121	24	,	,	PUNCT
fis-1230	121	25	a	a	DET
fis-1230	121	26	comparative	comparative	ADJ
fis-1230	121	27	study	study	NOUN
fis-1230	121	28	of	of	ADP
fis-1230	121	29	multiaxial	multiaxial	ADJ
fis-1230	121	30	high	high	ADJ
fis-1230	121	31	-	-	PUNCT
fis-1230	121	32	cycle	cycle	NOUN
fis-1230	121	33	fatigue	fatigue	NOUN
fis-1230	121	34	criteria	criterion	NOUN
fis-1230	121	35	for	for	ADP
fis-1230	121	36	metals	metal	NOUN
fis-1230	121	37	.	.	PUNCT
fis-1230	122	1	international	international	ADJ
fis-1230	122	2	journal	journal	PROPN
fis-1230	122	3	of	of	ADP
fis-1230	122	4	fatigue	fatigue	NOUN
fis-1230	122	5	,	,	PUNCT
fis-1230	122	6	19(3	19(3	NUM
fis-1230	122	7	)	)	PUNCT
fis-1230	122	8	(	(	PUNCT
fis-1230	122	9	1997	1997	NUM
fis-1230	122	10	)	)	PUNCT
fis-1230	123	1	219–235	219–235	NUM
fis-1230	123	2	.	.	PUNCT
fis-1230	124	1	[	[	X
fis-1230	124	2	5	5	NUM
fis-1230	124	3	]	]	X
fis-1230	124	4	charkaluk	charkaluk	PROPN
fis-1230	124	5	,	,	PUNCT
fis-1230	124	6	e.	e.	PROPN
fis-1230	124	7	,	,	PUNCT
fis-1230	124	8	constantinescu	constantinescu	PROPN
fis-1230	124	9	.	.	PROPN
fis-1230	124	10	,	,	PUNCT
fis-1230	124	11	a.	a.	NOUN
fis-1230	124	12	,	,	PUNCT
fis-1230	124	13	dissipation	dissipation	NOUN
fis-1230	124	14	and	and	CCONJ
fis-1230	124	15	mean	mean	VERB
fis-1230	124	16	stress	stress	ADJ
fis-1230	124	17	effect	effect	NOUN
fis-1230	124	18	in	in	ADP
fis-1230	124	19	hcf	hcf	PROPN
fis-1230	124	20	and	and	CCONJ
fis-1230	124	21	lcf	lcf	PROPN
fis-1230	124	22	,	,	PUNCT
fis-1230	124	23	in	in	ADP
fis-1230	124	24	:	:	PUNCT
fis-1230	124	25	12th	12th	ADJ
fis-1230	124	26	international	international	ADJ
fis-1230	124	27	conference	conference	NOUN
fis-1230	124	28	on	on	ADP
fis-1230	124	29	fracture	fracture	NOUN
fis-1230	124	30	,	,	PUNCT
fis-1230	124	31	(	(	PUNCT
fis-1230	124	32	2009	2009	NUM
fis-1230	124	33	)	)	PUNCT
fis-1230	124	34	.	.	PUNCT
fis-1230	125	1	[	[	X
fis-1230	125	2	6	6	NUM
fis-1230	125	3	]	]	X
fis-1230	125	4	manonukul	manonukul	PROPN
fis-1230	125	5	,	,	PUNCT
fis-1230	125	6	a.	a.	PROPN
fis-1230	125	7	,	,	PUNCT
fis-1230	125	8	dunne	dunne	PROPN
fis-1230	125	9	,	,	PUNCT
fis-1230	125	10	f.	f.	PROPN
fis-1230	125	11	p.	p.	PROPN
fis-1230	125	12	e.	e.	PROPN
fis-1230	125	13	,	,	PUNCT
fis-1230	125	14	highand	highand	ADJ
fis-1230	125	15	low	low	ADJ
fis-1230	125	16	-	-	PUNCT
fis-1230	125	17	cycle	cycle	NOUN
fis-1230	125	18	fatigue	fatigue	NOUN
fis-1230	125	19	crack	crack	VERB
fis-1230	125	20	initiation	initiation	NOUN
fis-1230	125	21	using	use	VERB
fis-1230	125	22	polycrystal	polycrystal	ADJ
fis-1230	125	23	plasticity	plasticity	NOUN
fis-1230	125	24	,	,	PUNCT
fis-1230	125	25	in	in	ADP
fis-1230	125	26	:	:	PUNCT
fis-1230	125	27	proc	proc	NOUN
fis-1230	125	28	.	.	PUNCT
fis-1230	126	1	r.	r.	PROPN
fis-1230	126	2	soc	soc	PROPN
fis-1230	126	3	.	.	PUNCT
fis-1230	127	1	lond	lond	PROPN
fis-1230	127	2	.	.	PUNCT
fis-1230	128	1	a	a	DET
fis-1230	128	2	,	,	PUNCT
fis-1230	128	3	460	460	NUM
fis-1230	128	4	(	(	PUNCT
fis-1230	128	5	2004	2004	NUM
fis-1230	128	6	)	)	PUNCT
fis-1230	128	7	1881	1881	NUM
fis-1230	128	8	-	-	SYM
fis-1230	128	9	1903	1903	NUM
fis-1230	128	10	.	.	PUNCT
fis-1230	129	1	[	[	X
fis-1230	129	2	7	7	NUM
fis-1230	129	3	]	]	X
fis-1230	129	4	musinski	musinski	ADJ
fis-1230	129	5	,	,	PUNCT
fis-1230	129	6	w.d	w.d	PROPN
fis-1230	129	7	.	.	PROPN
fis-1230	129	8	,	,	PUNCT
fis-1230	129	9	mcdowell	mcdowell	PROPN
fis-1230	129	10	,	,	PUNCT
fis-1230	129	11	d.l	d.l	PROPN
fis-1230	129	12	.	.	PROPN
fis-1230	129	13	,	,	PUNCT
fis-1230	129	14	microstructure	microstructure	ADJ
fis-1230	129	15	-	-	PUNCT
fis-1230	129	16	sensitive	sensitive	ADJ
fis-1230	129	17	probabilistic	probabilistic	ADJ
fis-1230	129	18	fatigue	fatigue	NOUN
fis-1230	129	19	at	at	ADP
fis-1230	129	20	notches	notch	NOUN
fis-1230	129	21	in	in	ADP
fis-1230	129	22	in100	in100	PROPN
fis-1230	129	23	.	.	PUNCT
fis-1230	130	1	pratt	pratt	PROPN
fis-1230	130	2	&	&	CCONJ
fis-1230	130	3	whitney	whitney	PROPN
fis-1230	130	4	progress	progress	PROPN
fis-1230	130	5	report	report	NOUN
fis-1230	130	6	for	for	ADP
fis-1230	130	7	the	the	DET
fis-1230	130	8	period	period	NOUN
fis-1230	130	9	8/15/08	8/15/08	PROPN
fis-1230	130	10	-	-	SYM
fis-1230	130	11	12/31/10	12/31/10	PROPN
fis-1230	130	12	(	(	PUNCT
fis-1230	130	13	2010	2010	NUM
fis-1230	130	14	)	)	PUNCT
fis-1230	130	15	.	.	PUNCT
fis-1230	131	1	[	[	X
fis-1230	131	2	8	8	NUM
fis-1230	131	3	]	]	PUNCT
fis-1230	131	4	jabbado	jabbado	NOUN
fis-1230	131	5	,	,	PUNCT
fis-1230	131	6	m.	m.	NOUN
fis-1230	131	7	,	,	PUNCT
fis-1230	131	8	maitournam	maitournam	PROPN
fis-1230	131	9	,	,	PUNCT
fis-1230	131	10	m.h	m.h	PROPN
fis-1230	131	11	.	.	PROPN
fis-1230	131	12	,	,	PUNCT
fis-1230	131	13	a	a	DET
fis-1230	131	14	high	high	ADJ
fis-1230	131	15	-	-	PUNCT
fis-1230	131	16	cycle	cycle	NOUN
fis-1230	131	17	fatigue	fatigue	NOUN
fis-1230	131	18	life	life	NOUN
fis-1230	131	19	model	model	NOUN
fis-1230	131	20	for	for	ADP
fis-1230	131	21	variable	variable	ADJ
fis-1230	131	22	amplitude	amplitude	NOUN
fis-1230	131	23	multiaxial	multiaxial	ADJ
fis-1230	131	24	loading	loading	NOUN
fis-1230	131	25	.	.	PUNCT
fis-1230	131	26	fatigue	fatigue	NOUN
fis-1230	131	27	&	&	CCONJ
fis-1230	131	28	fracture	fracture	PROPN
fis-1230	131	29	of	of	ADP
fis-1230	131	30	engineering	engineering	NOUN
fis-1230	131	31	materials	material	NOUN
fis-1230	131	32	&	&	CCONJ
fis-1230	131	33	structures	structure	NOUN
fis-1230	131	34	,	,	PUNCT
fis-1230	131	35	31(1	31(1	NUM
fis-1230	131	36	)	)	PUNCT
fis-1230	131	37	(	(	PUNCT
fis-1230	131	38	2008	2008	NUM
fis-1230	131	39	)	)	PUNCT
fis-1230	131	40	67–75	67–75	NUM
fis-1230	131	41	.	.	PUNCT
fis-1230	132	1	[	[	X
fis-1230	132	2	9	9	NUM
fis-1230	132	3	]	]	X
fis-1230	132	4	dang	dang	PROPN
fis-1230	132	5	van	van	PROPN
fis-1230	132	6	,	,	PUNCT
fis-1230	132	7	k.	k.	PROPN
fis-1230	132	8	,	,	PUNCT
fis-1230	132	9	griveau	griveau	PROPN
fis-1230	132	10	,	,	PUNCT
fis-1230	132	11	b.	b.	PROPN
fis-1230	132	12	,	,	PUNCT
fis-1230	132	13	message	message	NOUN
fis-1230	132	14	,	,	PUNCT
fis-1230	132	15	o.	o.	PROPN
fis-1230	132	16	,	,	PUNCT
fis-1230	132	17	on	on	ADP
fis-1230	132	18	a	a	DET
fis-1230	132	19	new	new	ADJ
fis-1230	132	20	multiaxial	multiaxial	ADJ
fis-1230	132	21	fatigue	fatigue	NOUN
fis-1230	132	22	limit	limit	NOUN
fis-1230	132	23	criterion	criterion	NOUN
fis-1230	132	24	:	:	PUNCT
fis-1230	132	25	theory	theory	NOUN
fis-1230	132	26	and	and	CCONJ
fis-1230	132	27	applications	application	NOUN
fis-1230	132	28	,	,	PUNCT
fis-1230	132	29	biaxial	biaxial	NOUN
fis-1230	132	30	and	and	CCONJ
fis-1230	132	31	multiaxial	multiaxial	ADJ
fis-1230	132	32	fatigue	fatigue	NOUN
fis-1230	132	33	,	,	PUNCT
fis-1230	132	34	in	in	ADP
fis-1230	132	35	:	:	PUNCT
fis-1230	132	36	egf	egf	PROPN
fis-1230	132	37	3	3	NUM
fis-1230	132	38	,	,	PUNCT
fis-1230	132	39	ed	ed	NOUN
fis-1230	132	40	.	.	PUNCT
fis-1230	132	41	m.	m.	PROPN
fis-1230	132	42	w.	w.	PROPN
fis-1230	132	43	brown	brown	PROPN
fis-1230	132	44	and	and	CCONJ
fis-1230	132	45	k.	k.	PROPN
fis-1230	132	46	j.	j.	PROPN
fis-1230	132	47	miller	miller	PROPN
fis-1230	132	48	,	,	PUNCT
fis-1230	132	49	mechanical	mechanical	ADJ
fis-1230	132	50	engineering	engineering	NOUN
fis-1230	132	51	publications	publication	NOUN
fis-1230	132	52	,	,	PUNCT
fis-1230	132	53	london	london	PROPN
fis-1230	132	54	,	,	PUNCT
fis-1230	132	55	(	(	PUNCT
fis-1230	132	56	1989	1989	NUM
fis-1230	132	57	)	)	PUNCT
fis-1230	132	58	479–496	479–496	NUM
fis-1230	132	59	.	.	PUNCT
fis-1230	133	1	[	[	X
fis-1230	133	2	10	10	NUM
fis-1230	133	3	]	]	X
fis-1230	133	4	stefanov	stefanov	PROPN
fis-1230	133	5	,	,	PUNCT
fis-1230	133	6	s.	s.	PROPN
fis-1230	133	7	h.	h.	PROPN
fis-1230	133	8	,	,	PUNCT
fis-1230	133	9	integration	integration	NOUN
fis-1230	133	10	of	of	ADP
fis-1230	133	11	damage	damage	NOUN
fis-1230	133	12	differentials	differential	NOUN
fis-1230	133	13	(	(	PUNCT
fis-1230	133	14	idd	idd	X
fis-1230	133	15	)	)	PUNCT
fis-1230	133	16	for	for	ADP
fis-1230	133	17	fatigue	fatigue	NOUN
fis-1230	133	18	life	life	NOUN
fis-1230	133	19	assessment	assessment	NOUN
fis-1230	133	20	under	under	ADP
fis-1230	133	21	any	any	DET
fis-1230	133	22	loading	loading	NOUN
fis-1230	133	23	,	,	PUNCT
fis-1230	133	24	phd	phd	NOUN
fis-1230	133	25	thesis	thesis	NOUN
fis-1230	133	26	,	,	PUNCT
fis-1230	133	27	ltu	ltu	PROPN
fis-1230	133	28	sofia	sofia	PROPN
fis-1230	133	29	(	(	PUNCT
fis-1230	133	30	2011	2011	NUM
fis-1230	133	31	)	)	PUNCT
fis-1230	133	32	.	.	PUNCT
fis-1230	134	1	[	[	X
fis-1230	134	2	11	11	NUM
fis-1230	134	3	]	]	SYM
fis-1230	134	4	herbland	herbland	NOUN
fis-1230	134	5	,	,	PUNCT
fis-1230	134	6	t.	t.	PROPN
fis-1230	134	7	,	,	PUNCT
fis-1230	134	8	une	une	PROPN
fis-1230	134	9	méthode	méthode	PROPN
fis-1230	134	10	de	de	PROPN
fis-1230	134	11	correction	correction	PROPN
fis-1230	134	12	élastoplastique	élastoplastique	PROPN
fis-1230	134	13	pour	pour	PROPN
fis-1230	134	14	le	le	PROPN
fis-1230	134	15	calcul	calcul	PROPN
fis-1230	134	16	en	en	PROPN
fis-1230	134	17	fatigue	fatigue	PROPN
fis-1230	134	18	des	des	PROPN
fis-1230	134	19	zones	zone	NOUN
fis-1230	134	20	de	de	X
fis-1230	134	21	concentration	concentration	NOUN
fis-1230	134	22	de	de	X
fis-1230	134	23	contraintes	contrainte	VERB
fis-1230	134	24	sous	sous	ADJ
fis-1230	134	25	chargement	chargement	PROPN
fis-1230	134	26	cyclique	cyclique	ADJ
fis-1230	134	27	multiaxial	multiaxial	ADJ
fis-1230	134	28	non	non	PROPN
fis-1230	134	29	proportionnel	proportionnel	NOUN
fis-1230	134	30	,	,	PUNCT
fis-1230	134	31	phd	phd	NOUN
fis-1230	134	32	thesis	thesis	NOUN
fis-1230	134	33	,	,	PUNCT
fis-1230	134	34	école	école	PROPN
fis-1230	134	35	des	des	PROPN
fis-1230	134	36	mines	mines	PROPN
fis-1230	134	37	de	de	X
fis-1230	134	38	paris	paris	PROPN
fis-1230	134	39	(	(	PUNCT
fis-1230	134	40	2009	2009	NUM
fis-1230	134	41	)	)	PUNCT
fis-1230	134	42	.	.	PUNCT
fis-1230	135	1	[	[	X
fis-1230	135	2	12	12	NUM
fis-1230	135	3	]	]	X
fis-1230	135	4	lemaitre	lemaitre	PROPN
fis-1230	135	5	,	,	PUNCT
fis-1230	135	6	j.	j.	PROPN
fis-1230	135	7	,	,	PUNCT
fis-1230	135	8	chaboche	chaboche	PROPN
fis-1230	135	9	,	,	PUNCT
fis-1230	135	10	j.l	j.l	PROPN
fis-1230	135	11	.	.	PROPN
fis-1230	135	12	,	,	PUNCT
fis-1230	135	13	mechanics	mechanic	NOUN
fis-1230	135	14	of	of	ADP
fis-1230	135	15	solid	solid	ADJ
fis-1230	135	16	materials	material	NOUN
fis-1230	135	17	,	,	PUNCT
fis-1230	135	18	cambridge	cambridge	PROPN
fis-1230	135	19	university	university	PROPN
fis-1230	135	20	press	press	NOUN
fis-1230	135	21	,	,	PUNCT
fis-1230	135	22	(	(	PUNCT
fis-1230	135	23	1990	1990	NUM
fis-1230	135	24	)	)	PUNCT
fis-1230	135	25	.	.	PUNCT
fis-1230	136	1	[	[	X
fis-1230	136	2	13	13	NUM
fis-1230	136	3	]	]	SYM
fis-1230	136	4	lubliner	lubliner	NOUN
fis-1230	136	5	,	,	PUNCT
fis-1230	136	6	j.	j.	PROPN
fis-1230	136	7	,	,	PUNCT
fis-1230	136	8	plasticity	plasticity	NOUN
fis-1230	136	9	theory	theory	NOUN
fis-1230	136	10	,	,	PUNCT
fis-1230	136	11	macmillan	macmillan	PROPN
fis-1230	136	12	publishing	publishing	PROPN
fis-1230	136	13	company	company	NOUN
fis-1230	136	14	,	,	PUNCT
fis-1230	136	15	new	new	PROPN
fis-1230	136	16	york	york	PROPN
fis-1230	136	17	(	(	PUNCT
fis-1230	136	18	1990	1990	NUM
fis-1230	136	19	)	)	PUNCT
fis-1230	136	20	.	.	PUNCT
fis-1230	137	1	[	[	X
fis-1230	137	2	14	14	NUM
fis-1230	137	3	]	]	PUNCT
fis-1230	137	4	puzrin	puzrin	NOUN
fis-1230	137	5	,	,	PUNCT
fis-1230	137	6	a.	a.	NOUN
fis-1230	137	7	m.	m.	NOUN
fis-1230	137	8	,	,	PUNCT
fis-1230	137	9	houlsby	houlsby	ADJ
fis-1230	137	10	,	,	PUNCT
fis-1230	137	11	g.	g.	PROPN
fis-1230	137	12	t.	t.	PROPN
fis-1230	137	13	,	,	PUNCT
fis-1230	137	14	on	on	ADP
fis-1230	137	15	the	the	DET
fis-1230	137	16	non	non	ADJ
fis-1230	137	17	-	-	ADJ
fis-1230	137	18	intersection	intersection	ADJ
fis-1230	137	19	dilemma	dilemma	NOUN
fis-1230	137	20	in	in	ADP
fis-1230	137	21	multiple	multiple	ADJ
fis-1230	137	22	surface	surface	NOUN
fis-1230	137	23	plasticity	plasticity	NOUN
fis-1230	137	24	,	,	PUNCT
fis-1230	137	25	géotechnique	géotechnique	ADJ
fis-1230	137	26	,	,	PUNCT
fis-1230	137	27	51(4	51(4	NUM
fis-1230	137	28	)	)	PUNCT
fis-1230	137	29	(	(	PUNCT
fis-1230	137	30	2001	2001	NUM
fis-1230	137	31	)	)	PUNCT
fis-1230	137	32	369	369	NUM
fis-1230	137	33	-	-	SYM
fis-1230	137	34	372	372	NUM
fis-1230	137	35	.	.	PUNCT
fis-1230	138	1	[	[	X
fis-1230	138	2	15	15	NUM
fis-1230	138	3	]	]	X
fis-1230	138	4	metallic	metallic	ADJ
fis-1230	138	5	materials	material	NOUN
fis-1230	138	6	properties	property	NOUN
fis-1230	138	7	development	development	NOUN
fis-1230	138	8	and	and	CCONJ
fis-1230	138	9	standardization	standardization	NOUN
fis-1230	138	10	(	(	PUNCT
fis-1230	138	11	mmpds	mmpds	NOUN
fis-1230	138	12	)	)	PUNCT
fis-1230	138	13	handbook	handbook	NOUN
fis-1230	138	14	,	,	PUNCT
fis-1230	138	15	faa	faa	PROPN
fis-1230	138	16	,	,	PUNCT
fis-1230	138	17	u.s	u.s	PROPN
fis-1230	138	18	.	.	PROPN
fis-1230	138	19	dept	dept	PROPN
fis-1230	138	20	.	.	PROPN
fis-1230	138	21	of	of	ADP
fis-1230	138	22	transportation	transportation	NOUN
fis-1230	138	23	(	(	PUNCT
fis-1230	138	24	2003	2003	NUM
fis-1230	138	25	)	)	PUNCT
fis-1230	138	26	.	.	PUNCT
fis-1230	139	1	[	[	X
fis-1230	139	2	16	16	NUM
fis-1230	139	3	]	]	X
fis-1230	139	4	a	a	DET
fis-1230	139	5	03	03	NUM
fis-1230	139	6	-	-	SYM
fis-1230	139	7	406	406	NUM
fis-1230	139	8	produits	produit	NOUN
fis-1230	139	9	métalliques	métallique	NOUN
fis-1230	139	10	fatigue	fatigue	NOUN
fis-1230	139	11	sous	sous	PROPN
fis-1230	139	12	sollicitations	sollicitation	NOUN
fis-1230	139	13	d'amplitude	d'amplitude	PROPN
fis-1230	139	14	variable	variable	PROPN
fis-1230	139	15	méthode	méthode	PROPN
fis-1230	139	16	rainflow	rainflow	PROPN
fis-1230	139	17	de	de	PROPN
fis-1230	139	18	comptage	comptage	PROPN
fis-1230	139	19	des	des	X
fis-1230	139	20	cycles	cycle	NOUN
fis-1230	139	21	afnor	afnor	NOUN
fis-1230	139	22	(	(	PUNCT
fis-1230	139	23	association	association	NOUN
fis-1230	139	24	française	française	X
fis-1230	139	25	de	de	X
fis-1230	139	26	normalisation	normalisation	NOUN
fis-1230	139	27	)	)	PUNCT
fis-1230	139	28	,	,	PUNCT
fis-1230	139	29	(	(	PUNCT
fis-1230	139	30	1993	1993	NUM
fis-1230	139	31	)	)	PUNCT
fis-1230	139	32	.	.	PUNCT
fis-1230	140	1	http://www.gruppofrattura.it	http://www.gruppofrattura.it	PROPN
fis-1230	141	1	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	http://dx.medra.org/10.3221/igf-esis.28.02&auth=true	ADJ