id	sid	tid	token	lemma	pos
fis-1465	1	1	microsoft	microsoft	PROPN
fis-1465	1	2	word	word	NOUN
fis-1465	1	3	numero_33_art_41	numero_33_art_41	PUNCT
fis-1465	1	4	a.	a.	PROPN
fis-1465	1	5	carpinteri	carpinteri	PROPN
fis-1465	1	6	et	et	PROPN
fis-1465	1	7	alii	alii	PROPN
fis-1465	1	8	,	,	PUNCT
fis-1465	1	9	frattura	frattura	PROPN
fis-1465	1	10	ed	ed	PROPN
fis-1465	1	11	integrità	integrità	PROPN
fis-1465	1	12	strutturale	strutturale	PROPN
fis-1465	1	13	,	,	PUNCT
fis-1465	1	14	33	33	NUM
fis-1465	1	15	(	(	PUNCT
fis-1465	1	16	2015	2015	NUM
fis-1465	1	17	)	)	PUNCT
fis-1465	1	18	376	376	NUM
fis-1465	1	19	-	-	SYM
fis-1465	1	20	381	381	NUM
fis-1465	1	21	;	;	PUNCT
fis-1465	1	22	doi	doi	NOUN
fis-1465	1	23	:	:	PUNCT
fis-1465	1	24	10.3221	10.3221	NUM
fis-1465	1	25	/	/	SYM
fis-1465	1	26	igf	igf	PROPN
fis-1465	1	27	-	-	PUNCT
fis-1465	1	28	esis.33.41	esis.33.41	PROPN
fis-1465	1	29	376	376	NUM
fis-1465	1	30	focussed	focusse	VERB
fis-1465	1	31	on	on	ADP
fis-1465	1	32	multiaxial	multiaxial	ADJ
fis-1465	1	33	fatigue	fatigue	NOUN
fis-1465	1	34	time	time	NOUN
fis-1465	1	35	and	and	CCONJ
fis-1465	1	36	frequency	frequency	NOUN
fis-1465	1	37	domain	domain	NOUN
fis-1465	1	38	models	model	NOUN
fis-1465	1	39	for	for	ADP
fis-1465	1	40	multiaxial	multiaxial	ADJ
fis-1465	1	41	fatigue	fatigue	NOUN
fis-1465	1	42	life	life	NOUN
fis-1465	1	43	estimation	estimation	NOUN
fis-1465	1	44	under	under	ADP
fis-1465	1	45	random	random	ADJ
fis-1465	1	46	loading	loading	NOUN
fis-1465	1	47	andrea	andrea	PROPN
fis-1465	1	48	carpinteri	carpinteri	PROPN
fis-1465	1	49	,	,	PUNCT
fis-1465	1	50	andrea	andrea	PROPN
fis-1465	1	51	spagnoli	spagnoli	PROPN
fis-1465	1	52	,	,	PUNCT
fis-1465	1	53	camilla	camilla	PROPN
fis-1465	1	54	ronchei	ronchei	PROPN
fis-1465	1	55	,	,	PUNCT
fis-1465	1	56	sabrina	sabrina	PROPN
fis-1465	1	57	vantadori	vantadori	PROPN
fis-1465	1	58	dipartimento	dipartimento	VERB
fis-1465	1	59	di	di	NOUN
fis-1465	1	60	ingegneria	ingegneria	PROPN
fis-1465	1	61	civile	civile	NOUN
fis-1465	1	62	,	,	PUNCT
fis-1465	1	63	dell’ambiente	dell’ambiente	VERB
fis-1465	1	64	del	del	PROPN
fis-1465	1	65	territorio	territorio	PROPN
fis-1465	1	66	e	e	PROPN
fis-1465	1	67	architettura	architettura	PROPN
fis-1465	1	68	,	,	PUNCT
fis-1465	1	69	università	università	PROPN
fis-1465	1	70	di	di	PROPN
fis-1465	1	71	parma	parma	PROPN
fis-1465	1	72	spagnoli@unipr.it	spagnoli@unipr.it	PROPN
fis-1465	1	73	abstract	abstract	ADJ
fis-1465	1	74	.	.	PUNCT
fis-1465	2	1	engineering	engineering	NOUN
fis-1465	2	2	structures	structure	NOUN
fis-1465	2	3	and	and	CCONJ
fis-1465	2	4	components	component	NOUN
fis-1465	2	5	are	be	AUX
fis-1465	2	6	often	often	ADV
fis-1465	2	7	subjected	subject	VERB
fis-1465	2	8	to	to	ADP
fis-1465	2	9	random	random	ADJ
fis-1465	2	10	fatigue	fatigue	NOUN
fis-1465	2	11	loading	loading	NOUN
fis-1465	2	12	produced	produce	VERB
fis-1465	2	13	,	,	PUNCT
fis-1465	2	14	for	for	ADP
fis-1465	2	15	example	example	NOUN
fis-1465	2	16	,	,	PUNCT
fis-1465	2	17	by	by	ADP
fis-1465	2	18	wind	wind	NOUN
fis-1465	2	19	turbulences	turbulence	NOUN
fis-1465	2	20	,	,	PUNCT
fis-1465	2	21	marine	marine	ADJ
fis-1465	2	22	waves	wave	NOUN
fis-1465	2	23	and	and	CCONJ
fis-1465	2	24	vibrations	vibration	NOUN
fis-1465	2	25	.	.	PUNCT
fis-1465	3	1	the	the	DET
fis-1465	3	2	methods	method	NOUN
fis-1465	3	3	available	available	ADJ
fis-1465	3	4	in	in	ADP
fis-1465	3	5	the	the	DET
fis-1465	3	6	literature	literature	NOUN
fis-1465	3	7	for	for	ADP
fis-1465	3	8	fatigue	fatigue	NOUN
fis-1465	3	9	assessment	assessment	NOUN
fis-1465	3	10	under	under	ADP
fis-1465	3	11	random	random	ADJ
fis-1465	3	12	loading	loading	NOUN
fis-1465	3	13	are	be	AUX
fis-1465	3	14	formulated	formulate	VERB
fis-1465	3	15	in	in	ADP
fis-1465	3	16	time	time	NOUN
fis-1465	3	17	domain	domain	NOUN
fis-1465	3	18	or	or	CCONJ
fis-1465	3	19	,	,	PUNCT
fis-1465	3	20	alternatively	alternatively	ADV
fis-1465	3	21	,	,	PUNCT
fis-1465	3	22	in	in	ADP
fis-1465	3	23	frequency	frequency	NOUN
fis-1465	3	24	domain	domain	NOUN
fis-1465	3	25	.	.	PUNCT
fis-1465	4	1	the	the	DET
fis-1465	4	2	former	former	ADJ
fis-1465	4	3	methods	method	NOUN
fis-1465	4	4	require	require	VERB
fis-1465	4	5	the	the	DET
fis-1465	4	6	knowledge	knowledge	NOUN
fis-1465	4	7	of	of	ADP
fis-1465	4	8	the	the	DET
fis-1465	4	9	loading	loading	NOUN
fis-1465	4	10	time	time	NOUN
fis-1465	4	11	history	history	NOUN
fis-1465	4	12	,	,	PUNCT
fis-1465	4	13	and	and	CCONJ
fis-1465	4	14	a	a	DET
fis-1465	4	15	large	large	ADJ
fis-1465	4	16	number	number	NOUN
fis-1465	4	17	of	of	ADP
fis-1465	4	18	experimental	experimental	ADJ
fis-1465	4	19	tests	test	NOUN
fis-1465	4	20	/	/	SYM
fis-1465	4	21	numerical	numerical	ADJ
fis-1465	4	22	simulations	simulation	NOUN
fis-1465	4	23	is	be	AUX
fis-1465	4	24	needed	need	VERB
fis-1465	4	25	to	to	PART
fis-1465	4	26	obtain	obtain	VERB
fis-1465	4	27	statistically	statistically	ADV
fis-1465	4	28	reliable	reliable	ADJ
fis-1465	4	29	results	result	NOUN
fis-1465	4	30	.	.	PUNCT
fis-1465	5	1	the	the	DET
fis-1465	5	2	latter	latter	ADJ
fis-1465	5	3	methods	method	NOUN
fis-1465	5	4	are	be	AUX
fis-1465	5	5	generally	generally	ADV
fis-1465	5	6	more	more	ADV
fis-1465	5	7	advantageous	advantageous	ADJ
fis-1465	5	8	with	with	ADP
fis-1465	5	9	respect	respect	NOUN
fis-1465	5	10	to	to	ADP
fis-1465	5	11	the	the	DET
fis-1465	5	12	time	time	NOUN
fis-1465	5	13	domain	domain	NOUN
fis-1465	5	14	ones	one	NOUN
fis-1465	5	15	,	,	PUNCT
fis-1465	5	16	allowing	allow	VERB
fis-1465	5	17	a	a	DET
fis-1465	5	18	rapid	rapid	ADJ
fis-1465	5	19	fatigue	fatigue	NOUN
fis-1465	5	20	damage	damage	NOUN
fis-1465	5	21	evaluation	evaluation	NOUN
fis-1465	5	22	.	.	PUNCT
fis-1465	6	1	in	in	ADP
fis-1465	6	2	the	the	DET
fis-1465	6	3	present	present	ADJ
fis-1465	6	4	paper	paper	NOUN
fis-1465	6	5	,	,	PUNCT
fis-1465	6	6	a	a	DET
fis-1465	6	7	multiaxial	multiaxial	ADJ
fis-1465	6	8	criterion	criterion	NOUN
fis-1465	6	9	formulated	formulate	VERB
fis-1465	6	10	in	in	ADP
fis-1465	6	11	the	the	DET
fis-1465	6	12	frequency	frequency	NOUN
fis-1465	6	13	-	-	PUNCT
fis-1465	6	14	domain	domain	NOUN
fis-1465	6	15	is	be	AUX
fis-1465	6	16	presented	present	VERB
fis-1465	6	17	to	to	PART
fis-1465	6	18	estimate	estimate	VERB
fis-1465	6	19	the	the	DET
fis-1465	6	20	fatigue	fatigue	NOUN
fis-1465	6	21	lives	live	VERB
fis-1465	6	22	of	of	ADP
fis-1465	6	23	smooth	smooth	ADJ
fis-1465	6	24	metallic	metallic	ADJ
fis-1465	6	25	structures	structure	NOUN
fis-1465	6	26	subjected	subject	VERB
fis-1465	6	27	to	to	ADP
fis-1465	6	28	combined	combine	VERB
fis-1465	6	29	bending	bending	NOUN
fis-1465	6	30	and	and	CCONJ
fis-1465	6	31	torsion	torsion	NOUN
fis-1465	6	32	random	random	ADJ
fis-1465	6	33	loading	loading	NOUN
fis-1465	6	34	.	.	PUNCT
fis-1465	7	1	a	a	DET
fis-1465	7	2	comparison	comparison	NOUN
fis-1465	7	3	in	in	ADP
fis-1465	7	4	terms	term	NOUN
fis-1465	7	5	of	of	ADP
fis-1465	7	6	fatigue	fatigue	NOUN
fis-1465	7	7	life	life	NOUN
fis-1465	7	8	prediction	prediction	NOUN
fis-1465	7	9	by	by	ADP
fis-1465	7	10	employing	employ	VERB
fis-1465	7	11	a	a	DET
fis-1465	7	12	time	time	NOUN
fis-1465	7	13	domain	domain	NOUN
fis-1465	7	14	methods	method	NOUN
fis-1465	7	15	,	,	PUNCT
fis-1465	7	16	previously	previously	ADV
fis-1465	7	17	proposed	propose	VERB
fis-1465	7	18	by	by	ADP
fis-1465	7	19	the	the	DET
fis-1465	7	20	authors	author	NOUN
fis-1465	7	21	,	,	PUNCT
fis-1465	7	22	is	be	AUX
fis-1465	7	23	also	also	ADV
fis-1465	7	24	performed	perform	VERB
fis-1465	7	25	.	.	PUNCT
fis-1465	8	1	keywords	keyword	NOUN
fis-1465	8	2	.	.	PUNCT
fis-1465	9	1	multiaxial	multiaxial	ADJ
fis-1465	9	2	fatigue	fatigue	NOUN
fis-1465	9	3	.	.	PUNCT
fis-1465	10	1	critical	critical	ADJ
fis-1465	10	2	plane	plane	NOUN
fis-1465	10	3	approach	approach	NOUN
fis-1465	10	4	.	.	PUNCT
fis-1465	11	1	random	random	ADJ
fis-1465	11	2	loading	loading	NOUN
fis-1465	11	3	.	.	PUNCT
fis-1465	12	1	frequency	frequency	NOUN
fis-1465	12	2	-	-	PUNCT
fis-1465	12	3	domain	domain	NOUN
fis-1465	12	4	.	.	PUNCT
fis-1465	13	1	winde	winde	NOUN
fis-1465	13	2	-	-	PUNCT
fis-1465	13	3	band	band	NOUN
fis-1465	13	4	spectrum	spectrum	NOUN
fis-1465	13	5	.	.	PUNCT
fis-1465	14	1	introduction	introduction	NOUN
fis-1465	14	2	he	he	PRON
fis-1465	14	3	design	design	NOUN
fis-1465	14	4	of	of	ADP
fis-1465	14	5	engineering	engineering	NOUN
fis-1465	14	6	structures	structure	NOUN
fis-1465	14	7	subjected	subject	VERB
fis-1465	14	8	to	to	ADP
fis-1465	14	9	cyclic	cyclic	ADJ
fis-1465	14	10	loading	loading	NOUN
fis-1465	14	11	characterized	characterize	VERB
fis-1465	14	12	by	by	ADP
fis-1465	14	13	randomly	randomly	ADV
fis-1465	14	14	varying	vary	VERB
fis-1465	14	15	amplitudes	amplitude	NOUN
fis-1465	14	16	is	be	AUX
fis-1465	14	17	a	a	DET
fis-1465	14	18	complex	complex	ADJ
fis-1465	14	19	and	and	CCONJ
fis-1465	14	20	critical	critical	ADJ
fis-1465	14	21	issue	issue	NOUN
fis-1465	14	22	,	,	PUNCT
fis-1465	14	23	which	which	PRON
fis-1465	14	24	becomes	become	VERB
fis-1465	14	25	even	even	ADV
fis-1465	14	26	more	more	ADV
fis-1465	14	27	complex	complex	ADJ
fis-1465	14	28	in	in	ADP
fis-1465	14	29	the	the	DET
fis-1465	14	30	case	case	NOUN
fis-1465	14	31	of	of	ADP
fis-1465	14	32	multiaxial	multiaxial	ADJ
fis-1465	14	33	loading	loading	NOUN
fis-1465	14	34	.	.	PUNCT
fis-1465	15	1	in	in	ADP
fis-1465	15	2	such	such	DET
fis-1465	15	3	a	a	DET
fis-1465	15	4	case	case	NOUN
fis-1465	15	5	,	,	PUNCT
fis-1465	15	6	the	the	DET
fis-1465	15	7	procedures	procedure	NOUN
fis-1465	15	8	usually	usually	ADV
fis-1465	15	9	employed	employ	VERB
fis-1465	15	10	in	in	ADP
fis-1465	15	11	the	the	DET
fis-1465	15	12	fatigue	fatigue	NOUN
fis-1465	15	13	assessment	assessment	NOUN
fis-1465	15	14	of	of	ADP
fis-1465	15	15	structural	structural	ADJ
fis-1465	15	16	components	component	NOUN
fis-1465	15	17	are	be	AUX
fis-1465	15	18	formulated	formulate	VERB
fis-1465	15	19	in	in	ADP
fis-1465	15	20	time	time	NOUN
fis-1465	15	21	domain	domain	NOUN
fis-1465	15	22	or	or	CCONJ
fis-1465	15	23	,	,	PUNCT
fis-1465	15	24	alternatively	alternatively	ADV
fis-1465	15	25	,	,	PUNCT
fis-1465	15	26	in	in	ADP
fis-1465	15	27	frequency	frequency	NOUN
fis-1465	15	28	domain	domain	NOUN
fis-1465	15	29	.	.	PUNCT
fis-1465	16	1	the	the	DET
fis-1465	16	2	former	former	ADJ
fis-1465	16	3	procedures	procedure	NOUN
fis-1465	16	4	usually	usually	ADV
fis-1465	16	5	represent	represent	VERB
fis-1465	16	6	a	a	DET
fis-1465	16	7	generalisation	generalisation	NOUN
fis-1465	16	8	of	of	ADP
fis-1465	16	9	their	their	PRON
fis-1465	16	10	counterparts	counterpart	NOUN
fis-1465	16	11	for	for	ADP
fis-1465	16	12	constant	constant	ADJ
fis-1465	16	13	amplitude	amplitude	NOUN
fis-1465	16	14	loading	loading	NOUN
fis-1465	16	15	,	,	PUNCT
fis-1465	16	16	by	by	ADP
fis-1465	16	17	introducing	introduce	VERB
fis-1465	16	18	a	a	DET
fis-1465	16	19	cycle	cycle	NOUN
fis-1465	16	20	counting	counting	NOUN
fis-1465	16	21	method	method	NOUN
fis-1465	16	22	(	(	PUNCT
fis-1465	16	23	e.g.	e.g.	ADV
fis-1465	16	24	rainflow	rainflow	NOUN
fis-1465	16	25	method	method	NOUN
fis-1465	16	26	)	)	PUNCT
fis-1465	16	27	and	and	CCONJ
fis-1465	16	28	a	a	DET
fis-1465	16	29	damage	damage	NOUN
fis-1465	16	30	model	model	NOUN
fis-1465	16	31	(	(	PUNCT
fis-1465	16	32	e.g.	e.g.	ADV
fis-1465	16	33	the	the	DET
fis-1465	16	34	miner	miner	NOUN
fis-1465	16	35	rule	rule	NOUN
fis-1465	16	36	)	)	PUNCT
fis-1465	17	1	[	[	X
fis-1465	17	2	1	1	NUM
fis-1465	17	3	-	-	SYM
fis-1465	17	4	5	5	NUM
fis-1465	17	5	]	]	PUNCT
fis-1465	17	6	.	.	PUNCT
fis-1465	18	1	some	some	DET
fis-1465	18	2	criteria	criterion	NOUN
fis-1465	18	3	present	present	VERB
fis-1465	18	4	specific	specific	ADJ
fis-1465	18	5	cycle	cycle	NOUN
fis-1465	18	6	counting	counting	NOUN
fis-1465	18	7	methods	method	NOUN
fis-1465	18	8	to	to	PART
fis-1465	18	9	resolve	resolve	VERB
fis-1465	18	10	multiaxial	multiaxial	ADJ
fis-1465	18	11	loading	loading	NOUN
fis-1465	18	12	histories	history	NOUN
fis-1465	18	13	into	into	ADP
fis-1465	18	14	individual	individual	ADJ
fis-1465	18	15	cycles	cycle	NOUN
fis-1465	18	16	(	(	PUNCT
fis-1465	18	17	e.g.	e.g.	ADV
fis-1465	18	18	see	see	VERB
fis-1465	18	19	refs	ref	NOUN
fis-1465	18	20	[	[	X
fis-1465	18	21	2	2	NUM
fis-1465	18	22	,	,	PUNCT
fis-1465	18	23	6	6	NUM
fis-1465	18	24	]	]	NUM
fis-1465	18	25	)	)	PUNCT
fis-1465	18	26	.	.	PUNCT
fis-1465	19	1	the	the	DET
fis-1465	19	2	knowledge	knowledge	NOUN
fis-1465	19	3	of	of	ADP
fis-1465	19	4	the	the	DET
fis-1465	19	5	time	time	NOUN
fis-1465	19	6	histories	history	NOUN
fis-1465	19	7	of	of	ADP
fis-1465	19	8	the	the	DET
fis-1465	19	9	local	local	ADJ
fis-1465	19	10	stress	stress	NOUN
fis-1465	19	11	or	or	CCONJ
fis-1465	19	12	strain	strain	VERB
fis-1465	19	13	tensor	tensor	NOUN
fis-1465	19	14	components	component	NOUN
fis-1465	19	15	,	,	PUNCT
fis-1465	19	16	experimentally	experimentally	ADV
fis-1465	19	17	measured	measure	VERB
fis-1465	19	18	on	on	ADP
fis-1465	19	19	the	the	DET
fis-1465	19	20	structural	structural	ADJ
fis-1465	19	21	component	component	NOUN
fis-1465	19	22	,	,	PUNCT
fis-1465	19	23	is	be	AUX
fis-1465	19	24	required	require	VERB
fis-1465	19	25	,	,	PUNCT
fis-1465	19	26	and	and	CCONJ
fis-1465	19	27	many	many	ADJ
fis-1465	19	28	records	record	NOUN
fis-1465	19	29	are	be	AUX
fis-1465	19	30	needed	need	VERB
fis-1465	19	31	in	in	ADP
fis-1465	19	32	order	order	NOUN
fis-1465	19	33	to	to	PART
fis-1465	19	34	obtain	obtain	VERB
fis-1465	19	35	reliable	reliable	ADJ
fis-1465	19	36	statistical	statistical	ADJ
fis-1465	19	37	parameters	parameter	NOUN
fis-1465	19	38	of	of	ADP
fis-1465	19	39	the	the	DET
fis-1465	19	40	loading	loading	NOUN
fis-1465	19	41	process	process	NOUN
fis-1465	19	42	.	.	PUNCT
fis-1465	20	1	frequency	frequency	NOUN
fis-1465	20	2	-	-	PUNCT
fis-1465	20	3	based	base	VERB
fis-1465	20	4	procedures	procedure	NOUN
fis-1465	20	5	,	,	PUNCT
fis-1465	20	6	instead	instead	ADV
fis-1465	20	7	,	,	PUNCT
fis-1465	20	8	require	require	VERB
fis-1465	20	9	the	the	DET
fis-1465	20	10	knowledge	knowledge	NOUN
fis-1465	20	11	of	of	ADP
fis-1465	20	12	cycle	cycle	NOUN
fis-1465	20	13	distribution	distribution	NOUN
fis-1465	20	14	of	of	ADP
fis-1465	20	15	random	random	ADJ
fis-1465	20	16	loading	loading	NOUN
fis-1465	20	17	from	from	ADP
fis-1465	20	18	a	a	DET
fis-1465	20	19	statistical	statistical	ADJ
fis-1465	20	20	point	point	NOUN
fis-1465	20	21	of	of	ADP
fis-1465	20	22	view	view	NOUN
fis-1465	20	23	:	:	PUNCT
fis-1465	20	24	as	as	ADP
fis-1465	20	25	a	a	DET
fis-1465	20	26	matter	matter	NOUN
fis-1465	20	27	of	of	ADP
fis-1465	20	28	fact	fact	NOUN
fis-1465	20	29	,	,	PUNCT
fis-1465	20	30	starting	start	VERB
fis-1465	20	31	from	from	ADP
fis-1465	20	32	the	the	DET
fis-1465	20	33	(	(	PUNCT
fis-1465	20	34	psd	psd	NOUN
fis-1465	20	35	)	)	PUNCT
fis-1465	20	36	power	power	NOUN
fis-1465	20	37	spectral	spectral	ADJ
fis-1465	20	38	density	density	NOUN
fis-1465	20	39	function	function	NOUN
fis-1465	20	40	of	of	ADP
fis-1465	20	41	local	local	ADJ
fis-1465	20	42	stress	stress	NOUN
fis-1465	20	43	or	or	CCONJ
fis-1465	20	44	strain	strain	VERB
fis-1465	20	45	tensor	tensor	NOUN
fis-1465	20	46	components	component	NOUN
fis-1465	20	47	,	,	PUNCT
fis-1465	20	48	an	an	DET
fis-1465	20	49	estimation	estimation	NOUN
fis-1465	20	50	of	of	ADP
fis-1465	20	51	damage	damage	NOUN
fis-1465	20	52	is	be	AUX
fis-1465	20	53	directly	directly	ADV
fis-1465	20	54	obtained	obtain	VERB
fis-1465	20	55	[	[	PUNCT
fis-1465	20	56	7	7	NUM
fis-1465	20	57	-	-	SYM
fis-1465	20	58	10	10	NUM
fis-1465	20	59	]	]	PUNCT
fis-1465	20	60	.	.	PUNCT
fis-1465	21	1	in	in	ADP
fis-1465	21	2	the	the	DET
fis-1465	21	3	present	present	ADJ
fis-1465	21	4	paper	paper	NOUN
fis-1465	21	5	,	,	PUNCT
fis-1465	21	6	a	a	DET
fis-1465	21	7	stress	stress	NOUN
fis-1465	21	8	-	-	PUNCT
fis-1465	21	9	based	base	VERB
fis-1465	21	10	critical	critical	ADJ
fis-1465	21	11	plane	plane	NOUN
fis-1465	21	12	criterion	criterion	NOUN
fis-1465	21	13	formulated	formulate	VERB
fis-1465	21	14	in	in	ADP
fis-1465	21	15	the	the	DET
fis-1465	21	16	frequency	frequency	NOUN
fis-1465	21	17	-	-	PUNCT
fis-1465	21	18	domain	domain	NOUN
fis-1465	21	19	is	be	AUX
fis-1465	21	20	proposed	propose	VERB
fis-1465	21	21	to	to	PART
fis-1465	21	22	evaluate	evaluate	VERB
fis-1465	21	23	the	the	DET
fis-1465	21	24	fatigue	fatigue	NOUN
fis-1465	21	25	lives	live	VERB
fis-1465	21	26	of	of	ADP
fis-1465	21	27	smooth	smooth	ADJ
fis-1465	21	28	metallic	metallic	ADJ
fis-1465	21	29	structures	structure	NOUN
fis-1465	21	30	subjected	subject	VERB
fis-1465	21	31	to	to	ADP
fis-1465	21	32	multiaxial	multiaxial	ADJ
fis-1465	21	33	random	random	ADJ
fis-1465	21	34	loading	loading	NOUN
fis-1465	21	35	.	.	PUNCT
fis-1465	22	1	it	it	PRON
fis-1465	22	2	consists	consist	VERB
fis-1465	22	3	of	of	ADP
fis-1465	22	4	the	the	DET
fis-1465	22	5	following	follow	VERB
fis-1465	22	6	three	three	NUM
fis-1465	22	7	steps	step	NOUN
fis-1465	22	8	:	:	PUNCT
fis-1465	22	9	(	(	PUNCT
fis-1465	22	10	i	i	NOUN
fis-1465	22	11	)	)	PUNCT
fis-1465	22	12	definition	definition	NOUN
fis-1465	22	13	of	of	ADP
fis-1465	22	14	the	the	DET
fis-1465	22	15	critical	critical	ADJ
fis-1465	22	16	plane	plane	NOUN
fis-1465	22	17	;	;	PUNCT
fis-1465	22	18	(	(	PUNCT
fis-1465	22	19	ii	ii	NOUN
fis-1465	22	20	)	)	PUNCT
fis-1465	22	21	psd	psd	NOUN
fis-1465	22	22	evaluation	evaluation	NOUN
fis-1465	22	23	of	of	ADP
fis-1465	22	24	an	an	DET
fis-1465	22	25	equivalent	equivalent	ADJ
fis-1465	22	26	normal	normal	ADJ
fis-1465	22	27	stress	stress	NOUN
fis-1465	22	28	;	;	PUNCT
fis-1465	22	29	(	(	PUNCT
fis-1465	22	30	iii	iii	X
fis-1465	22	31	)	)	PUNCT
fis-1465	22	32	determination	determination	NOUN
fis-1465	22	33	of	of	ADP
fis-1465	22	34	fatigue	fatigue	NOUN
fis-1465	22	35	life	life	NOUN
fis-1465	22	36	.	.	PUNCT
fis-1465	23	1	more	more	ADV
fis-1465	23	2	precisely	precisely	ADV
fis-1465	23	3	:	:	PUNCT
fis-1465	23	4	(	(	PUNCT
fis-1465	23	5	i	i	NOUN
fis-1465	23	6	)	)	PUNCT
fis-1465	23	7	the	the	DET
fis-1465	23	8	critical	critical	ADJ
fis-1465	23	9	plane	plane	NOUN
fis-1465	23	10	is	be	AUX
fis-1465	23	11	proposed	propose	VERB
fis-1465	23	12	to	to	PART
fis-1465	23	13	be	be	AUX
fis-1465	23	14	dependent	dependent	ADJ
fis-1465	23	15	on	on	ADP
fis-1465	23	16	the	the	DET
fis-1465	23	17	psd	psd	NOUN
fis-1465	23	18	matrix	matrix	NOUN
fis-1465	23	19	of	of	ADP
fis-1465	23	20	the	the	DET
fis-1465	23	21	stress	stress	NOUN
fis-1465	23	22	tensor	tensor	NOUN
fis-1465	23	23	;	;	PUNCT
fis-1465	23	24	(	(	PUNCT
fis-1465	23	25	ii	ii	NOUN
fis-1465	23	26	)	)	PUNCT
fis-1465	23	27	on	on	ADP
fis-1465	23	28	such	such	DET
fis-1465	23	29	a	a	DET
fis-1465	23	30	verification	verification	NOUN
fis-1465	23	31	plane	plane	NOUN
fis-1465	23	32	,	,	PUNCT
fis-1465	23	33	the	the	DET
fis-1465	23	34	psd	psd	NOUN
fis-1465	23	35	of	of	ADP
fis-1465	23	36	an	an	DET
fis-1465	23	37	equivalent	equivalent	ADJ
fis-1465	23	38	stress	stress	NOUN
fis-1465	23	39	is	be	AUX
fis-1465	23	40	defined	define	VERB
fis-1465	23	41	by	by	ADP
fis-1465	23	42	a	a	DET
fis-1465	23	43	linear	linear	ADJ
fis-1465	23	44	combination	combination	NOUN
fis-1465	23	45	of	of	ADP
fis-1465	23	46	the	the	DET
fis-1465	23	47	psd	psd	NOUN
fis-1465	23	48	functions	function	NOUN
fis-1465	23	49	of	of	ADP
fis-1465	23	50	both	both	CCONJ
fis-1465	23	51	the	the	DET
fis-1465	23	52	t	t	NOUN
fis-1465	23	53	http://www.gruppofrattura.it/pdf/rivista/numero33/audioslides/spagnoli2/sp2.html	http://www.gruppofrattura.it/pdf/rivista/numero33/audioslides/spagnoli2/sp2.html	VERB
fis-1465	23	54	a.	a.	NOUN
fis-1465	23	55	carpinteri	carpinteri	PROPN
fis-1465	23	56	et	et	PROPN
fis-1465	23	57	alii	alii	PROPN
fis-1465	23	58	,	,	PUNCT
fis-1465	23	59	frattura	frattura	PROPN
fis-1465	23	60	ed	ed	PROPN
fis-1465	23	61	integrità	integrità	PROPN
fis-1465	23	62	strutturale	strutturale	PROPN
fis-1465	23	63	,	,	PUNCT
fis-1465	23	64	33	33	NUM
fis-1465	23	65	(	(	PUNCT
fis-1465	23	66	2015	2015	NUM
fis-1465	23	67	)	)	PUNCT
fis-1465	23	68	376	376	NUM
fis-1465	23	69	-	-	SYM
fis-1465	23	70	381	381	NUM
fis-1465	23	71	;	;	PUNCT
fis-1465	23	72	doi	doi	NOUN
fis-1465	23	73	:	:	PUNCT
fis-1465	23	74	10.3221	10.3221	NUM
fis-1465	23	75	/	/	SYM
fis-1465	23	76	igf	igf	PROPN
fis-1465	23	77	-	-	PUNCT
fis-1465	23	78	esis.33.41	esis.33.41	PROPN
fis-1465	23	79	377	377	NUM
fis-1465	23	80	normal	normal	ADJ
fis-1465	23	81	stress	stress	NOUN
fis-1465	23	82	and	and	CCONJ
fis-1465	23	83	shear	shear	NOUN
fis-1465	23	84	stress	stress	NOUN
fis-1465	23	85	,	,	PUNCT
fis-1465	23	86	the	the	DET
fis-1465	23	87	latter	latter	ADJ
fis-1465	23	88	projected	project	VERB
fis-1465	23	89	along	along	ADP
fis-1465	23	90	the	the	DET
fis-1465	23	91	direction	direction	NOUN
fis-1465	23	92	that	that	PRON
fis-1465	23	93	maximises	maximise	VERB
fis-1465	23	94	the	the	DET
fis-1465	23	95	variance	variance	NOUN
fis-1465	23	96	of	of	ADP
fis-1465	23	97	such	such	DET
fis-1465	23	98	a	a	DET
fis-1465	23	99	stress	stress	NOUN
fis-1465	23	100	;	;	PUNCT
fis-1465	23	101	(	(	PUNCT
fis-1465	23	102	iii	iii	X
fis-1465	23	103	)	)	PUNCT
fis-1465	23	104	the	the	DET
fis-1465	23	105	psd	psd	NOUN
fis-1465	23	106	of	of	ADP
fis-1465	23	107	the	the	DET
fis-1465	23	108	above	above	ADJ
fis-1465	23	109	equivalent	equivalent	ADJ
fis-1465	23	110	stress	stress	NOUN
fis-1465	23	111	is	be	AUX
fis-1465	23	112	used	use	VERB
fis-1465	23	113	to	to	PART
fis-1465	23	114	estimate	estimate	VERB
fis-1465	23	115	damage	damage	NOUN
fis-1465	23	116	,	,	PUNCT
fis-1465	23	117	and	and	CCONJ
fis-1465	23	118	hence	hence	ADV
fis-1465	23	119	to	to	PART
fis-1465	23	120	determine	determine	VERB
fis-1465	23	121	fatigue	fatigue	NOUN
fis-1465	23	122	life	life	NOUN
fis-1465	23	123	of	of	ADP
fis-1465	23	124	the	the	DET
fis-1465	23	125	structural	structural	ADJ
fis-1465	23	126	component	component	NOUN
fis-1465	23	127	via	via	ADP
fis-1465	23	128	the	the	DET
fis-1465	23	129	tovo	tovo	PROPN
fis-1465	23	130	-	-	PUNCT
fis-1465	23	131	benasciutti	benasciutti	ADJ
fis-1465	23	132	method	method	NOUN
fis-1465	24	1	[	[	X
fis-1465	24	2	11	11	NUM
fis-1465	24	3	]	]	PUNCT
fis-1465	24	4	.	.	PUNCT
fis-1465	25	1	the	the	DET
fis-1465	25	2	frequency	frequency	NOUN
fis-1465	25	3	-	-	PUNCT
fis-1465	25	4	based	base	VERB
fis-1465	25	5	criterion	criterion	NOUN
fis-1465	25	6	being	be	AUX
fis-1465	25	7	presented	present	VERB
fis-1465	25	8	is	be	AUX
fis-1465	25	9	applied	apply	VERB
fis-1465	25	10	to	to	ADP
fis-1465	25	11	combined	combine	VERB
fis-1465	25	12	bending	bending	NOUN
fis-1465	25	13	and	and	CCONJ
fis-1465	25	14	torsion	torsion	NOUN
fis-1465	25	15	random	random	ADJ
fis-1465	25	16	fatigue	fatigue	NOUN
fis-1465	25	17	test	test	NOUN
fis-1465	25	18	data	datum	NOUN
fis-1465	26	1	[	[	X
fis-1465	26	2	12	12	NUM
fis-1465	26	3	]	]	PUNCT
fis-1465	26	4	,	,	PUNCT
fis-1465	26	5	which	which	PRON
fis-1465	26	6	are	be	AUX
fis-1465	26	7	also	also	ADV
fis-1465	26	8	compared	compare	VERB
fis-1465	26	9	with	with	ADP
fis-1465	26	10	the	the	DET
fis-1465	26	11	results	result	NOUN
fis-1465	26	12	determined	determine	VERB
fis-1465	26	13	by	by	ADP
fis-1465	26	14	employing	employ	VERB
fis-1465	26	15	the	the	DET
fis-1465	26	16	time	time	NOUN
fis-1465	26	17	-	-	PUNCT
fis-1465	26	18	domain	domain	NOUN
fis-1465	26	19	criterion	criterion	NOUN
fis-1465	26	20	proposed	propose	VERB
fis-1465	26	21	in	in	ADP
fis-1465	26	22	refs	ref	NOUN
fis-1465	26	23	[	[	X
fis-1465	26	24	4,5	4,5	NUM
fis-1465	26	25	]	]	PUNCT
fis-1465	26	26	.	.	PUNCT
fis-1465	27	1	critical	critical	ADJ
fis-1465	27	2	(	(	PUNCT
fis-1465	27	3	verification	verification	NOUN
fis-1465	27	4	)	)	PUNCT
fis-1465	27	5	plane	plane	NOUN
fis-1465	27	6	orientation	orientation	NOUN
fis-1465	27	7	he	he	PRON
fis-1465	27	8	verification	verification	NOUN
fis-1465	27	9	plane	plane	NOUN
fis-1465	27	10	orientation	orientation	NOUN
fis-1465	27	11	,	,	PUNCT
fis-1465	27	12	named	name	VERB
fis-1465	27	13	critical	critical	ADJ
fis-1465	27	14	plane	plane	NOUN
fis-1465	27	15	,	,	PUNCT
fis-1465	27	16	is	be	AUX
fis-1465	27	17	here	here	ADV
fis-1465	27	18	assumed	assume	VERB
fis-1465	27	19	to	to	PART
fis-1465	27	20	be	be	AUX
fis-1465	27	21	dependent	dependent	ADJ
fis-1465	27	22	on	on	ADP
fis-1465	27	23	the	the	DET
fis-1465	27	24	psd	psd	NOUN
fis-1465	27	25	matrix	matrix	NOUN
fis-1465	27	26	of	of	ADP
fis-1465	27	27	the	the	DET
fis-1465	27	28	stress	stress	NOUN
fis-1465	27	29	vector	vector	NOUN
fis-1465	27	30	[	[	X
fis-1465	27	31	13	13	NUM
fis-1465	27	32	]	]	PUNCT
fis-1465	27	33	,	,	PUNCT
fis-1465	27	34	as	as	SCONJ
fis-1465	27	35	is	be	AUX
fis-1465	27	36	explained	explain	VERB
fis-1465	27	37	in	in	ADP
fis-1465	27	38	the	the	DET
fis-1465	27	39	following	following	NOUN
fis-1465	27	40	.	.	PUNCT
fis-1465	28	1	let	let	VERB
fis-1465	28	2	us	we	PRON
fis-1465	28	3	assume	assume	VERB
fis-1465	28	4	that	that	SCONJ
fis-1465	28	5	:	:	PUNCT
fis-1465	28	6	(	(	PUNCT
fis-1465	28	7	i	i	NOUN
fis-1465	28	8	)	)	PUNCT
fis-1465	28	9	the	the	DET
fis-1465	28	10	random	random	ADJ
fis-1465	28	11	features	feature	NOUN
fis-1465	28	12	of	of	ADP
fis-1465	28	13	the	the	DET
fis-1465	28	14	stress	stress	NOUN
fis-1465	28	15	tensor	tensor	NOUN
fis-1465	28	16	,	,	PUNCT
fis-1465	28	17			PROPN
fis-1465	28	18	xyz	xyz	NOUN
fis-1465	28	19	1	1	NUM
fis-1465	28	20	2	2	NUM
fis-1465	28	21	3	3	NUM
fis-1465	28	22	4	4	NUM
fis-1465	28	23	5	5	NUM
fis-1465	28	24	6	6	NUM
fis-1465	28	25	(	(	PUNCT
fis-1465	28	26	)	)	PUNCT
fis-1465	28	27	t	t	PROPN
fis-1465	28	28	t	t	PROPN
fis-1465	28	29	s	s	PROPN
fis-1465	28	30	,	,	PUNCT
fis-1465	28	31	s	s	X
fis-1465	28	32	,	,	PUNCT
fis-1465	28	33	s	s	X
fis-1465	28	34	,	,	PUNCT
fis-1465	28	35	s	s	X
fis-1465	28	36	,	,	PUNCT
fis-1465	28	37	s	s	NOUN
fis-1465	28	38	,	,	PUNCT
fis-1465	28	39	ss	ss	NOUN
fis-1465	28	40	,	,	PUNCT
fis-1465	28	41	defined	define	VERB
fis-1465	28	42	with	with	ADP
fis-1465	28	43	respect	respect	NOUN
fis-1465	28	44	to	to	ADP
fis-1465	28	45	the	the	DET
fis-1465	28	46	fixed	fix	VERB
fis-1465	28	47	frame	frame	NOUN
fis-1465	28	48	pxyz	pxyz	NOUN
fis-1465	28	49	(	(	PUNCT
fis-1465	28	50	being	be	AUX
fis-1465	28	51	p	p	NOUN
fis-1465	28	52	a	a	DET
fis-1465	28	53	point	point	NOUN
fis-1465	28	54	of	of	ADP
fis-1465	28	55	the	the	DET
fis-1465	28	56	structural	structural	ADJ
fis-1465	28	57	component	component	NOUN
fis-1465	28	58	)	)	PUNCT
fis-1465	28	59	,	,	PUNCT
fis-1465	28	60	can	can	AUX
fis-1465	28	61	be	be	AUX
fis-1465	28	62	described	describe	VERB
fis-1465	28	63	by	by	ADP
fis-1465	28	64	a	a	DET
fis-1465	28	65	six	six	NUM
fis-1465	28	66	-	-	PUNCT
fis-1465	28	67	dimensional	dimensional	ADJ
fis-1465	28	68	ergodic	ergodic	ADJ
fis-1465	28	69	stationary	stationary	ADJ
fis-1465	28	70	gaussian	gaussian	ADJ
fis-1465	28	71	stochastic	stochastic	NOUN
fis-1465	28	72	process	process	NOUN
fis-1465	28	73	with	with	ADP
fis-1465	28	74	zero	zero	NUM
fis-1465	28	75	mean	mean	NOUN
fis-1465	28	76	values	value	NOUN
fis-1465	28	77	;	;	PUNCT
fis-1465	28	78	(	(	PUNCT
fis-1465	28	79	ii	ii	X
fis-1465	28	80	)	)	PUNCT
fis-1465	28	81	the	the	DET
fis-1465	28	82	corresponding	correspond	VERB
fis-1465	28	83	psd	psd	NOUN
fis-1465	28	84	functions	function	NOUN
fis-1465	28	85	are	be	AUX
fis-1465	28	86	known	know	VERB
fis-1465	28	87	.	.	PUNCT
fis-1465	29	1	the	the	DET
fis-1465	29	2	coefficients	coefficient	NOUN
fis-1465	29	3	of	of	ADP
fis-1465	29	4	the	the	DET
fis-1465	29	5	psd	psd	NOUN
fis-1465	29	6	matrix	matrix	NOUN
fis-1465	29	7	,	,	PUNCT
fis-1465	29	8	xyz	xyz	PROPN
fis-1465	29	9	(	(	PUNCT
fis-1465	29	10	)	)	PUNCT
fis-1465	29	11	s	s	NOUN
fis-1465	29	12	,	,	PUNCT
fis-1465	29	13	are	be	AUX
fis-1465	29	14	given	give	VERB
fis-1465	29	15	by	by	ADP
fis-1465	29	16	:	:	PUNCT
fis-1465	29	17	,	,	PUNCT
fis-1465	29	18	,	,	PUNCT
fis-1465	29	19	1	1	NUM
fis-1465	29	20	(	(	PUNCT
fis-1465	29	21	)	)	PUNCT
fis-1465	29	22	(	(	PUNCT
fis-1465	29	23	)	)	PUNCT
fis-1465	29	24	2	2	NUM
fis-1465	30	1	i	i	PRON
fis-1465	30	2	i	i	PRON
fis-1465	31	1	j	j	VERB
fis-1465	32	1	i	i	PRON
fis-1465	32	2	js	js	VERB
fis-1465	32	3	r	r	NOUN
fis-1465	32	4	e	e	PROPN
fis-1465	32	5	d	d	PROPN
fis-1465	32	6			NOUN
fis-1465	32	7			NOUN
fis-1465	32	8			PROPN
fis-1465	32	9			ADJ
fis-1465	32	10			NOUN
fis-1465	32	11			VERB
fis-1465	32	12			NUM
fis-1465	32	13			NOUN
fis-1465	32	14	,	,	PUNCT
fis-1465	32	15	1	1	NUM
fis-1465	32	16	,	,	PUNCT
fis-1465	32	17	6i	6i	NUM
fis-1465	32	18	j	j	NOUN
fis-1465	33	1			NUM
fis-1465	33	2			NUM
fis-1465	33	3	(	(	PUNCT
fis-1465	33	4	1	1	NUM
fis-1465	33	5	)	)	PUNCT
fis-1465	33	6	where	where	SCONJ
fis-1465	33	7	,	,	PUNCT
fis-1465	33	8	(	(	PUNCT
fis-1465	33	9	)	)	PUNCT
fis-1465	33	10	i	i	PRON
fis-1465	33	11	jr	jr	PROPN
fis-1465	33	12			PROPN
fis-1465	33	13	are	be	AUX
fis-1465	33	14	the	the	DET
fis-1465	33	15	autoand	autoand	NOUN
fis-1465	33	16	cross	cross	ADJ
fis-1465	33	17	-	-	ADJ
fis-1465	33	18	correlation	correlation	NOUN
fis-1465	33	19	functions	function	NOUN
fis-1465	33	20	and	and	CCONJ
fis-1465	33	21			PROPN
fis-1465	33	22	is	be	AUX
fis-1465	33	23	the	the	DET
fis-1465	33	24	angular	angular	ADJ
fis-1465	33	25	frequency	frequency	NOUN
fis-1465	33	26	.	.	PUNCT
fis-1465	34	1	the	the	DET
fis-1465	34	2	psd	psd	PROPN
fis-1465	34	3	matrix	matrix	NOUN
fis-1465	34	4	with	with	ADP
fis-1465	34	5	respect	respect	NOUN
fis-1465	34	6	to	to	ADP
fis-1465	34	7	a	a	DET
fis-1465	34	8	rotated	rotate	VERB
fis-1465	34	9	coordinate	coordinate	NOUN
fis-1465	34	10	system	system	NOUN
fis-1465	34	11	px'y'z	px'y'z	PRON
fis-1465	34	12	'	'	PUNCT
fis-1465	34	13	can	can	AUX
fis-1465	34	14	be	be	AUX
fis-1465	34	15	defined	define	VERB
fis-1465	34	16	by	by	ADP
fis-1465	34	17	employing	employ	VERB
fis-1465	34	18	the	the	DET
fis-1465	34	19	xyz	xyz	NOUN
fis-1465	34	20	(	(	PUNCT
fis-1465	34	21	)	)	PUNCT
fis-1465	34	22	s	s	NOUN
fis-1465	34	23	matrix	matrix	NOUN
fis-1465	34	24	and	and	CCONJ
fis-1465	34	25	a	a	DET
fis-1465	34	26	rotation	rotation	NOUN
fis-1465	34	27	matrix	matrix	NOUN
fis-1465	34	28	c	c	NOUN
fis-1465	34	29	depending	depend	VERB
fis-1465	34	30	on	on	ADP
fis-1465	34	31	the	the	DET
fis-1465	34	32	three	three	NUM
fis-1465	34	33	rotation	rotation	NOUN
fis-1465	34	34	euler	euler	NOUN
fis-1465	34	35	angles	angle	NOUN
fis-1465	34	36	,	,	PUNCT
fis-1465	34	37	,	,	PUNCT
fis-1465	34	38			PROPN
fis-1465	34	39			X
fis-1465	34	40			NOUN
fis-1465	34	41	.	.	PUNCT
fis-1465	35	1	in	in	ADP
fis-1465	35	2	such	such	DET
fis-1465	35	3	a	a	DET
fis-1465	35	4	coordinate	coordinate	NOUN
fis-1465	35	5	system	system	NOUN
fis-1465	35	6	,	,	PUNCT
fis-1465	35	7	the	the	DET
fis-1465	35	8	corresponding	corresponding	ADJ
fis-1465	35	9	stress	stress	NOUN
fis-1465	35	10	tensor	tensor	NOUN
fis-1465	35	11	components	component	NOUN
fis-1465	35	12	and	and	CCONJ
fis-1465	35	13	psd	psd	NOUN
fis-1465	35	14	coefficients	coefficient	NOUN
fis-1465	35	15	are	be	AUX
fis-1465	35	16	indicated	indicate	VERB
fis-1465	35	17	as	as	ADP
fis-1465	35	18	'	'	PUNCT
fis-1465	35	19	is	be	AUX
fis-1465	35	20	and	and	CCONJ
fis-1465	35	21	'	'	PUNCT
fis-1465	35	22	,	,	PUNCT
fis-1465	35	23	'	'	PUNCT
fis-1465	35	24	(	(	PUNCT
fis-1465	35	25	)	)	PUNCT
fis-1465	35	26	i	i	PRON
fis-1465	35	27	js	js	VERB
fis-1465	35	28			X
fis-1465	35	29	,	,	PUNCT
fis-1465	35	30	with	with	ADP
fis-1465	35	31	'	'	PUNCT
fis-1465	35	32	,	,	PUNCT
fis-1465	35	33	'	'	PUNCT
fis-1465	35	34	1	1	NUM
fis-1465	35	35	,	,	PUNCT
fis-1465	35	36	6i	6i	NUM
fis-1465	36	1	j	j	NOUN
fis-1465	37	1			NOUN
fis-1465	37	2			INTJ
fis-1465	37	3	.	.	PUNCT
fis-1465	38	1	the	the	DET
fis-1465	38	2	above	above	ADJ
fis-1465	38	3	axes	axis	NOUN
fis-1465	38	4	are	be	AUX
fis-1465	38	5	made	make	VERB
fis-1465	38	6	to	to	PART
fis-1465	38	7	vary	vary	VERB
fis-1465	38	8	as	as	SCONJ
fis-1465	38	9	follows	follow	VERB
fis-1465	38	10	:	:	PUNCT
fis-1465	38	11	the	the	DET
fis-1465	38	12	direction	direction	NOUN
fis-1465	38	13	z	z	NOUN
fis-1465	38	14	'	'	PUNCT
fis-1465	38	15	(	(	PUNCT
fis-1465	38	16	defined	define	VERB
fis-1465	38	17	by	by	ADP
fis-1465	38	18	the	the	DET
fis-1465	38	19	angles	angle	NOUN
fis-1465	38	20	,	,	PUNCT
fis-1465	38	21			PROPN
fis-1465	38	22			X
fis-1465	38	23	)	)	PUNCT
fis-1465	38	24	is	be	AUX
fis-1465	38	25	such	such	ADJ
fis-1465	38	26	that	that	SCONJ
fis-1465	38	27	3	3	NUM
fis-1465	38	28	's	's	PART
fis-1465	38	29	experiences	experience	NOUN
fis-1465	38	30	the	the	DET
fis-1465	38	31	maximum	maximum	NOUN
fis-1465	38	32	in	in	ADP
fis-1465	38	33	a	a	DET
fis-1465	38	34	statistical	statistical	ADJ
fis-1465	38	35	sense	sense	NOUN
fis-1465	38	36	,	,	PUNCT
fis-1465	38	37	according	accord	VERB
fis-1465	38	38	to	to	ADP
fis-1465	38	39	davenport	davenport	PROPN
fis-1465	38	40	[	[	X
fis-1465	38	41	14	14	NUM
fis-1465	38	42	]	]	X
fis-1465	38	43	:	:	PUNCT
fis-1465	38	44	3	3	NUM
fis-1465	38	45	'	'	NOUN
fis-1465	38	46	0	0	NUM
fis-1465	38	47	0	0	NUM
fis-1465	38	48	0	0	NUM
fis-1465	38	49	0	0	NUM
fis-1465	38	50	0.5772	0.5772	NUM
fis-1465	38	51	max	max	NOUN
fis-1465	38	52	(	(	PUNCT
fis-1465	38	53	)	)	PUNCT
fis-1465	38	54	2	2	NUM
fis-1465	38	55	ln	ln	NOUN
fis-1465	38	56	(	(	PUNCT
fis-1465	38	57	)	)	PUNCT
fis-1465	38	58	2	2	NUM
fis-1465	38	59	ln	ln	NOUN
fis-1465	38	60	(	(	PUNCT
fis-1465	38	61	)	)	PUNCT
fis-1465	39	1	t	t	NOUN
fis-1465	39	2	t	t	X
fis-1465	39	3	e	e	X
fis-1465	39	4	s	s	PROPN
fis-1465	39	5	t	t	PROPN
fis-1465	39	6	t	t	PROPN
fis-1465	39	7	t	t	PROPN
fis-1465	39	8			PROPN
fis-1465	39	9			PROPN
fis-1465	39	10			PROPN
fis-1465	39	11			PUNCT
fis-1465	39	12			PROPN
fis-1465	39	13			NOUN
fis-1465	39	14			PROPN
fis-1465	39	15			NOUN
fis-1465	39	16			PROPN
fis-1465	40	1			PROPN
fis-1465	40	2			PROPN
fis-1465	40	3			PROPN
fis-1465	40	4	(	(	PUNCT
fis-1465	40	5	2	2	X
fis-1465	40	6	)	)	PUNCT
fis-1465	40	7	being	be	AUX
fis-1465	40	8	0	0	ADJ
fis-1465	41	1	the	the	DET
fis-1465	41	2	spectral	spectral	ADJ
fis-1465	41	3	moment	moment	NOUN
fis-1465	41	4	of	of	ADP
fis-1465	41	5	order	order	NOUN
fis-1465	41	6	0	0	NUM
fis-1465	41	7	of	of	ADP
fis-1465	41	8	the	the	DET
fis-1465	41	9	psd	psd	PROPN
fis-1465	41	10	function	function	NOUN
fis-1465	41	11	3',3	3',3	NUM
fis-1465	41	12	's	's	PART
fis-1465	41	13	,	,	PUNCT
fis-1465	41	14	0	0	PROPN
fis-1465	41	15			ADJ
fis-1465	41	16	the	the	DET
fis-1465	41	17	expected	expect	VERB
fis-1465	41	18	rate	rate	NOUN
fis-1465	41	19	of	of	ADP
fis-1465	41	20	mean	mean	ADJ
fis-1465	41	21	zero	zero	NUM
fis-1465	41	22	-	-	PUNCT
fis-1465	41	23	upcrossings	upcrossing	NOUN
fis-1465	41	24	of	of	ADP
fis-1465	41	25	3	3	NUM
fis-1465	41	26	's	's	PART
fis-1465	41	27	and	and	CCONJ
fis-1465	41	28	t	t	X
fis-1465	41	29	the	the	DET
fis-1465	41	30	observation	observation	NOUN
fis-1465	41	31	time	time	NOUN
fis-1465	41	32	interval	interval	NOUN
fis-1465	41	33	.	.	PUNCT
fis-1465	42	1	the	the	DET
fis-1465	42	2	y	y	PROPN
fis-1465	42	3	'	'	PUNCT
fis-1465	42	4	axis	axis	NOUN
fis-1465	42	5	(	(	PUNCT
fis-1465	42	6	defined	define	VERB
fis-1465	42	7	by	by	ADP
fis-1465	42	8	the	the	DET
fis-1465	42	9	angle	angle	NOUN
fis-1465	42	10			NOUN
fis-1465	42	11	)	)	PUNCT
fis-1465	42	12	is	be	AUX
fis-1465	42	13	made	make	VERB
fis-1465	42	14	to	to	PART
fis-1465	42	15	vary	vary	VERB
fis-1465	42	16	in	in	ADP
fis-1465	42	17	order	order	NOUN
fis-1465	42	18	to	to	PART
fis-1465	42	19	maximize	maximize	VERB
fis-1465	42	20	the	the	DET
fis-1465	42	21	variance	variance	NOUN
fis-1465	42	22	of	of	ADP
fis-1465	42	23	6	6	NUM
fis-1465	42	24	's	's	PART
fis-1465	42	25	:	:	PUNCT
fis-1465	42	26	2	2	NUM
fis-1465	42	27	6',6	6',6	NUM
fis-1465	42	28	'	'	NUM
fis-1465	42	29	6	6	NUM
fis-1465	42	30	'	'	NOUN
fis-1465	42	31	,	,	PUNCT
fis-1465	42	32	6	6	NUM
fis-1465	42	33	'	'	NOUN
fis-1465	42	34	0	0	NUM
fis-1465	42	35	2	2	NUM
fis-1465	42	36	0	0	NUM
fis-1465	42	37	2	2	NUM
fis-1465	42	38	(	(	PUNCT
fis-1465	42	39	,	,	PUNCT
fis-1465	42	40	)	)	PUNCT
fis-1465	43	1	max	max	PROPN
fis-1465	43	2	max	max	PROPN
fis-1465	43	3	s	s	PROPN
fis-1465	43	4	d	d	PROPN
fis-1465	43	5			PROPN
fis-1465	43	6			PROPN
fis-1465	43	7			NOUN
fis-1465	43	8			NOUN
fis-1465	43	9			X
fis-1465	43	10			X
fis-1465	43	11			NOUN
fis-1465	43	12			X
fis-1465	43	13			ADJ
fis-1465	43	14			ADJ
fis-1465	43	15			NOUN
fis-1465	43	16			NOUN
fis-1465	43	17			NOUN
fis-1465	43	18			INTJ
fis-1465	43	19			ADJ
fis-1465	43	20			PROPN
fis-1465	43	21			NOUN
fis-1465	43	22			PROPN
fis-1465	43	23			PROPN
fis-1465	43	24			PROPN
fis-1465	43	25			PROPN
fis-1465	43	26			VERB
fis-1465	43	27			PROPN
fis-1465	43	28			X
fis-1465	43	29	(	(	PUNCT
fis-1465	43	30	3	3	X
fis-1465	43	31	)	)	PUNCT
fis-1465	43	32	the	the	DET
fis-1465	43	33	directions	direction	NOUN
fis-1465	43	34	z	z	NOUN
fis-1465	43	35	'	'	PUNCT
fis-1465	43	36	and	and	CCONJ
fis-1465	43	37	y	y	NOUN
fis-1465	43	38	'	'	PUNCT
fis-1465	43	39	are	be	AUX
fis-1465	43	40	regarded	regard	VERB
fis-1465	43	41	as	as	ADP
fis-1465	43	42	the	the	DET
fis-1465	43	43	averaged	average	VERB
fis-1465	43	44	principal	principal	ADJ
fis-1465	43	45	directions	direction	NOUN
fis-1465	43	46	1̂	1̂	NOUN
fis-1465	43	47	and	and	CCONJ
fis-1465	43	48	3̂	3̂	NUM
fis-1465	43	49	,	,	PUNCT
fis-1465	43	50	respectively	respectively	ADV
fis-1465	43	51	.	.	PUNCT
fis-1465	44	1	then	then	ADV
fis-1465	44	2	,	,	PUNCT
fis-1465	44	3	the	the	DET
fis-1465	44	4	normal	normal	ADJ
fis-1465	44	5	to	to	ADP
fis-1465	44	6	the	the	DET
fis-1465	44	7	critical	critical	ADJ
fis-1465	44	8	plane	plane	NOUN
fis-1465	44	9	,	,	PUNCT
fis-1465	44	10	w	w	PROPN
fis-1465	44	11	,	,	PUNCT
fis-1465	44	12	is	be	AUX
fis-1465	44	13	defined	define	VERB
fis-1465	44	14	in	in	ADP
fis-1465	44	15	the	the	DET
fis-1465	44	16	1̂	1̂	NUM
fis-1465	44	17	3̂	3̂	NUM
fis-1465	44	18	plane	plane	NOUN
fis-1465	44	19	by	by	ADP
fis-1465	44	20	the	the	DET
fis-1465	44	21	off	off	NOUN
fis-1465	44	22	-	-	PUNCT
fis-1465	44	23	angle	angle	NOUN
fis-1465	44	24			NUM
fis-1465	44	25	(	(	PUNCT
fis-1465	44	26	clockwise	clockwise	NOUN
fis-1465	44	27	rotation	rotation	NOUN
fis-1465	44	28	)	)	PUNCT
fis-1465	44	29	,	,	PUNCT
fis-1465	44	30	function	function	NOUN
fis-1465	44	31	of	of	ADP
fis-1465	44	32	the	the	DET
fis-1465	44	33	ratio	ratio	NOUN
fis-1465	44	34	between	between	ADP
fis-1465	44	35	fully	fully	ADV
fis-1465	44	36	reversed	reverse	VERB
fis-1465	44	37	shear	shear	NOUN
fis-1465	44	38	fatigue	fatigue	NOUN
fis-1465	44	39	limit	limit	NOUN
fis-1465	44	40	and	and	CCONJ
fis-1465	44	41	normal	normal	ADJ
fis-1465	44	42	stress	stress	NOUN
fis-1465	44	43	fatigue	fatigue	NOUN
fis-1465	44	44	limit	limit	NOUN
fis-1465	44	45	:	:	PUNCT
fis-1465	44	46	2	2	NUM
fis-1465	44	47	,	,	PUNCT
fis-1465	44	48	1	1	NUM
fis-1465	44	49	,	,	PUNCT
fis-1465	44	50	1	1	NUM
fis-1465	44	51	3	3	NUM
fis-1465	44	52	1	1	NUM
fis-1465	44	53	8	8	NUM
fis-1465	44	54	af	af	PROPN
fis-1465	44	55	af	af	PROPN
fis-1465	44	56			PROPN
fis-1465	44	57			PROPN
fis-1465	44	58			PROPN
fis-1465	44	59			PROPN
fis-1465	44	60			PROPN
fis-1465	44	61			PROPN
fis-1465	44	62			NOUN
fis-1465	44	63			VERB
fis-1465	44	64			PROPN
fis-1465	44	65			PROPN
fis-1465	44	66			PROPN
fis-1465	44	67			VERB
fis-1465	45	1			PROPN
fis-1465	45	2			NOUN
fis-1465	45	3			PROPN
fis-1465	45	4			PROPN
fis-1465	45	5	(	(	PUNCT
fis-1465	45	6	4	4	NUM
fis-1465	45	7	)	)	PUNCT
fis-1465	45	8	psd	psd	NOUN
fis-1465	45	9	evaluation	evaluation	NOUN
fis-1465	45	10	of	of	ADP
fis-1465	45	11	the	the	DET
fis-1465	45	12	equivalent	equivalent	ADJ
fis-1465	45	13	normal	normal	ADJ
fis-1465	45	14	stress	stress	NOUN
fis-1465	45	15	et	et	NOUN
fis-1465	45	16	us	we	PRON
fis-1465	45	17	define	define	VERB
fis-1465	45	18	the	the	DET
fis-1465	45	19	psd	psd	NOUN
fis-1465	45	20	matrix	matrix	NOUN
fis-1465	45	21	with	with	ADP
fis-1465	45	22	respect	respect	NOUN
fis-1465	45	23	to	to	ADP
fis-1465	45	24	a	a	DET
fis-1465	45	25	coordinate	coordinate	NOUN
fis-1465	45	26	system	system	NOUN
fis-1465	45	27	puvw	puvw	NOUN
fis-1465	45	28	,	,	PUNCT
fis-1465	45	29	where	where	SCONJ
fis-1465	45	30	u	u	NOUN
fis-1465	45	31	and	and	CCONJ
fis-1465	45	32	v	v	NOUN
fis-1465	45	33	belong	belong	VERB
fis-1465	45	34	to	to	ADP
fis-1465	45	35	the	the	DET
fis-1465	45	36	critical	critical	ADJ
fis-1465	45	37	plane	plane	NOUN
fis-1465	45	38	and	and	CCONJ
fis-1465	45	39	w	w	NOUN
fis-1465	45	40	is	be	AUX
fis-1465	45	41	the	the	DET
fis-1465	45	42	normal	normal	ADJ
fis-1465	45	43	to	to	ADP
fis-1465	45	44	the	the	DET
fis-1465	45	45	critical	critical	ADJ
fis-1465	45	46	plane	plane	NOUN
fis-1465	45	47	.	.	PUNCT
fis-1465	46	1	in	in	ADP
fis-1465	46	2	such	such	DET
fis-1465	46	3	a	a	DET
fis-1465	46	4	coordinate	coordinate	NOUN
fis-1465	46	5	system	system	NOUN
fis-1465	46	6	,	,	PUNCT
fis-1465	46	7	the	the	DET
fis-1465	46	8	corresponding	corresponding	ADJ
fis-1465	46	9	stress	stress	NOUN
fis-1465	46	10	tensor	tensor	NOUN
fis-1465	46	11	components	component	NOUN
fis-1465	46	12	and	and	CCONJ
fis-1465	46	13	psd	psd	NOUN
fis-1465	46	14	coefficients	coefficient	NOUN
fis-1465	46	15	are	be	AUX
fis-1465	46	16	indicated	indicate	VERB
fis-1465	46	17	as	as	SCONJ
fis-1465	46	18	is	be	AUX
fis-1465	46	19			PROPN
fis-1465	46	20	and	and	CCONJ
fis-1465	46	21	,	,	PUNCT
fis-1465	46	22	(	(	PUNCT
fis-1465	46	23	)	)	PUNCT
fis-1465	46	24	i	i	PRON
fis-1465	46	25	js	js	VERB
fis-1465	46	26			INTJ
fis-1465	46	27			PROPN
fis-1465	46	28	,	,	PUNCT
fis-1465	46	29	with	with	ADP
fis-1465	46	30	''	''	PUNCT
fis-1465	46	31	,	,	PUNCT
fis-1465	46	32	''	''	PUNCT
fis-1465	46	33	1	1	NUM
fis-1465	46	34	,	,	PUNCT
fis-1465	46	35	6i	6i	NUM
fis-1465	47	1	j	j	NOUN
fis-1465	48	1			NOUN
fis-1465	48	2			INTJ
fis-1465	48	3	.	.	PUNCT
fis-1465	49	1	the	the	DET
fis-1465	49	2	axes	axis	NOUN
fis-1465	49	3	u	u	NOUN
fis-1465	49	4	and	and	CCONJ
fis-1465	49	5	v	v	NOUN
fis-1465	49	6	are	be	AUX
fis-1465	49	7	made	make	VERB
fis-1465	49	8	to	to	PART
fis-1465	49	9	vary	vary	VERB
fis-1465	49	10	in	in	ADP
fis-1465	49	11	the	the	DET
fis-1465	49	12	critical	critical	ADJ
fis-1465	49	13	plane	plane	NOUN
fis-1465	49	14	in	in	ADP
fis-1465	49	15	order	order	NOUN
fis-1465	49	16	to	to	PART
fis-1465	49	17	maximize	maximize	VERB
fis-1465	49	18	the	the	DET
fis-1465	49	19	variance	variance	NOUN
fis-1465	49	20	of	of	ADP
fis-1465	49	21	6s	6s	NUM
fis-1465	49	22			PROPN
fis-1465	49	23	:	:	PUNCT
fis-1465	49	24	t	t	PROPN
fis-1465	49	25	l	l	NOUN
fis-1465	49	26	a.	a.	NOUN
fis-1465	49	27	carpinteri	carpinteri	PROPN
fis-1465	49	28	et	et	PROPN
fis-1465	49	29	alii	alii	PROPN
fis-1465	49	30	,	,	PUNCT
fis-1465	49	31	frattura	frattura	PROPN
fis-1465	49	32	ed	ed	PROPN
fis-1465	49	33	integrità	integrità	PROPN
fis-1465	49	34	strutturale	strutturale	PROPN
fis-1465	49	35	,	,	PUNCT
fis-1465	49	36	33	33	NUM
fis-1465	49	37	(	(	PUNCT
fis-1465	49	38	2015	2015	NUM
fis-1465	49	39	)	)	PUNCT
fis-1465	49	40	376	376	NUM
fis-1465	49	41	-	-	SYM
fis-1465	49	42	381	381	NUM
fis-1465	49	43	;	;	PUNCT
fis-1465	49	44	doi	doi	NOUN
fis-1465	49	45	:	:	PUNCT
fis-1465	49	46	10.3221	10.3221	NUM
fis-1465	49	47	/	/	SYM
fis-1465	49	48	igf	igf	PROPN
fis-1465	49	49	-	-	PUNCT
fis-1465	49	50	esis.33.41	esis.33.41	ADJ
fis-1465	49	51	378	378	NUM
fis-1465	49	52	2	2	NUM
fis-1465	49	53	6'',6	6'',6	NUM
fis-1465	49	54	''	''	PUNCT
fis-1465	49	55	6	6	NUM
fis-1465	49	56	''	''	PUNCT
fis-1465	49	57	,	,	PUNCT
fis-1465	49	58	6	6	NUM
fis-1465	49	59	''	''	SYM
fis-1465	49	60	0	0	NUM
fis-1465	49	61	2	2	NUM
fis-1465	49	62	0	0	NUM
fis-1465	49	63	2	2	NUM
fis-1465	49	64	(	(	PUNCT
fis-1465	49	65	,	,	PUNCT
fis-1465	49	66	)	)	PUNCT
fis-1465	50	1	max	max	PROPN
fis-1465	50	2	max	max	PROPN
fis-1465	50	3	s	s	PROPN
fis-1465	50	4	d	d	PROPN
fis-1465	50	5			NUM
fis-1465	50	6			PROPN
fis-1465	50	7			NUM
fis-1465	50	8			PROPN
fis-1465	50	9			X
fis-1465	50	10			X
fis-1465	50	11			NUM
fis-1465	50	12			X
fis-1465	50	13			ADJ
fis-1465	50	14			ADJ
fis-1465	50	15			NOUN
fis-1465	50	16			NOUN
fis-1465	50	17			NOUN
fis-1465	51	1			INTJ
fis-1465	51	2			ADJ
fis-1465	51	3			PROPN
fis-1465	51	4			NOUN
fis-1465	51	5			PROPN
fis-1465	51	6			PROPN
fis-1465	51	7			PROPN
fis-1465	51	8			PROPN
fis-1465	51	9			VERB
fis-1465	51	10			PROPN
fis-1465	51	11			X
fis-1465	51	12	(	(	PUNCT
fis-1465	51	13	5	5	X
fis-1465	51	14	)	)	PUNCT
fis-1465	51	15	being	be	AUX
fis-1465	51	16			ADP
fis-1465	51	17	a	a	DET
fis-1465	51	18	counterclockwise	counterclockwise	NOUN
fis-1465	51	19	rotation	rotation	NOUN
fis-1465	51	20	about	about	ADP
fis-1465	51	21	the	the	DET
fis-1465	51	22	w	w	NOUN
fis-1465	51	23	-axis	-axis	PROPN
fis-1465	51	24	.	.	PUNCT
fis-1465	52	1	in	in	ADP
fis-1465	52	2	order	order	NOUN
fis-1465	52	3	to	to	PART
fis-1465	52	4	reduce	reduce	VERB
fis-1465	52	5	the	the	DET
fis-1465	52	6	multiaxial	multiaxial	ADJ
fis-1465	52	7	stress	stress	NOUN
fis-1465	52	8	state	state	NOUN
fis-1465	52	9	to	to	ADP
fis-1465	52	10	an	an	DET
fis-1465	52	11	equivalent	equivalent	ADJ
fis-1465	52	12	unixial	unixial	ADJ
fis-1465	52	13	stress	stress	NOUN
fis-1465	52	14	state	state	NOUN
fis-1465	52	15	,	,	PUNCT
fis-1465	52	16	we	we	PRON
fis-1465	52	17	propose	propose	VERB
fis-1465	52	18	to	to	PART
fis-1465	52	19	determine	determine	VERB
fis-1465	52	20	an	an	DET
fis-1465	52	21	equivalent	equivalent	ADJ
fis-1465	52	22	psd	psd	NOUN
fis-1465	52	23	function	function	NOUN
fis-1465	52	24	through	through	ADP
fis-1465	52	25	the	the	DET
fis-1465	52	26	following	follow	VERB
fis-1465	52	27	linear	linear	ADJ
fis-1465	52	28	combination	combination	NOUN
fis-1465	52	29	:	:	PUNCT
fis-1465	52	30	,	,	PUNCT
fis-1465	52	31	1	1	NUM
fis-1465	52	32	3	3	NUM
fis-1465	52	33	,	,	PUNCT
fis-1465	52	34	3	3	NUM
fis-1465	52	35	6	6	NUM
fis-1465	52	36	,	,	PUNCT
fis-1465	52	37	6	6	NUM
fis-1465	52	38	,	,	PUNCT
fis-1465	52	39	1	1	NUM
fis-1465	52	40	af	af	NOUN
fis-1465	52	41	eq	eq	ADP
fis-1465	52	42	af	af	PROPN
fis-1465	52	43	s	s	PROPN
fis-1465	52	44	s	s	X
fis-1465	52	45	s	s	X
fis-1465	52	46			NOUN
fis-1465	52	47			NOUN
fis-1465	52	48			NOUN
fis-1465	52	49			PROPN
fis-1465	52	50			PROPN
fis-1465	52	51			PROPN
fis-1465	52	52			PROPN
fis-1465	52	53			PROPN
fis-1465	52	54			NOUN
fis-1465	52	55			PROPN
fis-1465	52	56			PROPN
fis-1465	52	57			PROPN
fis-1465	52	58			PROPN
fis-1465	52	59			NOUN
fis-1465	53	1			PROPN
fis-1465	53	2			ADJ
fis-1465	53	3			NOUN
fis-1465	53	4	(	(	PUNCT
fis-1465	53	5	6	6	NUM
fis-1465	53	6	)	)	PUNCT
fis-1465	53	7	fatigue	fatigue	NOUN
fis-1465	53	8	life	life	NOUN
fis-1465	53	9	evaluation	evaluation	NOUN
fis-1465	53	10	for	for	ADP
fis-1465	53	11	random	random	ADJ
fis-1465	53	12	loading	loading	NOUN
fis-1465	53	13	et	et	PRON
fis-1465	53	14	us	we	PRON
fis-1465	53	15	consider	consider	VERB
fis-1465	53	16	the	the	DET
fis-1465	53	17	equivalent	equivalent	ADJ
fis-1465	53	18	psd	psd	NOUN
fis-1465	53	19	function	function	NOUN
fis-1465	53	20	related	relate	VERB
fis-1465	53	21	to	to	ADP
fis-1465	53	22	an	an	DET
fis-1465	53	23	equivalent	equivalent	ADJ
fis-1465	53	24	unixial	unixial	ADJ
fis-1465	53	25	stress	stress	NOUN
fis-1465	53	26	state	state	NOUN
fis-1465	53	27	,	,	PUNCT
fis-1465	53	28	that	that	ADV
fis-1465	53	29	is	is	ADV
fis-1465	53	30	,	,	PUNCT
fis-1465	53	31	to	to	ADP
fis-1465	53	32	a	a	DET
fis-1465	53	33	onedimensional	onedimensional	ADJ
fis-1465	53	34	stochastic	stochastic	ADJ
fis-1465	53	35	process	process	NOUN
fis-1465	53	36	.	.	PUNCT
fis-1465	54	1	in	in	ADP
fis-1465	54	2	such	such	DET
fis-1465	54	3	a	a	DET
fis-1465	54	4	case	case	NOUN
fis-1465	54	5	,	,	PUNCT
fis-1465	54	6	the	the	DET
fis-1465	54	7	expected	expect	VERB
fis-1465	54	8	fatigue	fatigue	NOUN
fis-1465	54	9	damage	damage	NOUN
fis-1465	54	10	per	per	ADP
fis-1465	54	11	unit	unit	NOUN
fis-1465	54	12	time	time	NOUN
fis-1465	54	13	,	,	PUNCT
fis-1465	54	14			ADJ
fis-1465	54	15	e	e	PROPN
fis-1465	54	16	d	d	PROPN
fis-1465	54	17	,	,	PUNCT
fis-1465	54	18	may	may	AUX
fis-1465	54	19	be	be	AUX
fis-1465	54	20	evaluated	evaluate	VERB
fis-1465	54	21	by	by	ADP
fis-1465	54	22	employing	employ	VERB
fis-1465	54	23	the	the	DET
fis-1465	54	24	following	following	ADJ
fis-1465	54	25	linear	linear	ADJ
fis-1465	54	26	cumulative	cumulative	ADJ
fis-1465	54	27	damage	damage	NOUN
fis-1465	54	28	rule	rule	NOUN
fis-1465	54	29	:	:	PUNCT
fis-1465	54	30			ADJ
fis-1465	54	31			ADP
fis-1465	54	32	1	1	NUM
fis-1465	54	33	0	0	NUM
fis-1465	54	34	(	(	PUNCT
fis-1465	54	35	)	)	PUNCT
fis-1465	54	36	k	k	PROPN
fis-1465	54	37	a	a	X
fis-1465	54	38	ae	ae	PROPN
fis-1465	54	39	d	d	PROPN
fis-1465	54	40	c	c	PROPN
fis-1465	54	41	s	s	PROPN
fis-1465	54	42	p	p	X
fis-1465	54	43	s	s	NOUN
fis-1465	54	44	ds	ds	ADJ
fis-1465	54	45			NOUN
fis-1465	54	46			PUNCT
fis-1465	54	47	(	(	PUNCT
fis-1465	54	48	7	7	X
fis-1465	54	49	)	)	PUNCT
fis-1465	54	50	being	be	AUX
fis-1465	54	51	a	a	NOUN
fis-1465	54	52	and	and	CCONJ
fis-1465	54	53	(	(	PUNCT
fis-1465	54	54	)	)	PUNCT
fis-1465	54	55	ap	ap	PROPN
fis-1465	55	1	s	s	VERB
fis-1465	55	2	the	the	DET
fis-1465	55	3	expected	expect	VERB
fis-1465	55	4	rate	rate	NOUN
fis-1465	55	5	of	of	ADP
fis-1465	55	6	occurrence	occurrence	NOUN
fis-1465	55	7	and	and	CCONJ
fis-1465	55	8	the	the	DET
fis-1465	55	9	marginal	marginal	ADJ
fis-1465	55	10	amplitude	amplitude	NOUN
fis-1465	55	11	distribution	distribution	NOUN
fis-1465	55	12	of	of	ADP
fis-1465	55	13	the	the	DET
fis-1465	55	14	counted	count	VERB
fis-1465	55	15	equivalent	equivalent	ADJ
fis-1465	55	16	stress	stress	NOUN
fis-1465	55	17	cycles	cycle	NOUN
fis-1465	55	18	,	,	PUNCT
fis-1465	55	19	respectively	respectively	ADV
fis-1465	55	20	,	,	PUNCT
fis-1465	55	21	whereas	whereas	SCONJ
fis-1465	55	22	k	k	PROPN
fis-1465	55	23	and	and	CCONJ
fis-1465	55	24	c	c	PROPN
fis-1465	55	25	are	be	AUX
fis-1465	55	26	the	the	DET
fis-1465	55	27	parameters	parameter	NOUN
fis-1465	55	28	of	of	ADP
fis-1465	55	29	the	the	DET
fis-1465	55	30	normal	normal	ADJ
fis-1465	55	31	stress	stress	NOUN
fis-1465	55	32	s	s	PROPN
fis-1465	55	33	-	-	PUNCT
fis-1465	55	34	n	n	PRON
fis-1465	55	35	curve	curve	NOUN
fis-1465	55	36	.	.	PUNCT
fis-1465	56	1	note	note	VERB
fis-1465	56	2	that	that	SCONJ
fis-1465	56	3	damage	damage	NOUN
fis-1465	56	4	estimation	estimation	NOUN
fis-1465	56	5	depends	depend	VERB
fis-1465	56	6	on	on	ADP
fis-1465	56	7	the	the	DET
fis-1465	56	8	algorithm	algorithm	NOUN
fis-1465	56	9	used	use	VERB
fis-1465	56	10	to	to	PART
fis-1465	56	11	count	count	VERB
fis-1465	56	12	loading	loading	NOUN
fis-1465	56	13	cycles	cycle	NOUN
fis-1465	56	14	,	,	PUNCT
fis-1465	56	15	that	that	ADV
fis-1465	56	16	is	is	ADV
fis-1465	56	17	,	,	PUNCT
fis-1465	56	18	it	it	PRON
fis-1465	56	19	is	be	AUX
fis-1465	56	20	related	relate	VERB
fis-1465	56	21	to	to	ADP
fis-1465	56	22	the	the	DET
fis-1465	56	23	method	method	NOUN
fis-1465	56	24	adopted	adopt	VERB
fis-1465	56	25	to	to	PART
fis-1465	56	26	estimate	estimate	VERB
fis-1465	56	27	the	the	DET
fis-1465	56	28	marginal	marginal	ADJ
fis-1465	56	29	density	density	NOUN
fis-1465	56	30	(	(	PUNCT
fis-1465	56	31	)	)	PUNCT
fis-1465	56	32	ap	ap	PROPN
fis-1465	56	33	s	s	PROPN
fis-1465	56	34	.	.	PUNCT
fis-1465	57	1	let	let	VERB
fis-1465	57	2	us	we	PRON
fis-1465	57	3	consider	consider	VERB
fis-1465	57	4	the	the	DET
fis-1465	57	5	rain	rain	NOUN
fis-1465	57	6	-	-	PUNCT
fis-1465	57	7	flow	flow	NOUN
fis-1465	57	8	counting	counting	NOUN
fis-1465	57	9	(	(	PUNCT
fis-1465	57	10	rfc	rfc	NOUN
fis-1465	57	11	)	)	PUNCT
fis-1465	57	12	procedure	procedure	NOUN
fis-1465	57	13	[	[	X
fis-1465	57	14	15	15	NUM
fis-1465	57	15	]	]	PUNCT
fis-1465	57	16	.	.	PUNCT
fis-1465	58	1	for	for	ADP
fis-1465	58	2	rfc	rfc	NOUN
fis-1465	58	3	methods	method	NOUN
fis-1465	58	4	,	,	PUNCT
fis-1465	58	5	an	an	DET
fis-1465	58	6	analytical	analytical	ADJ
fis-1465	58	7	solution	solution	NOUN
fis-1465	58	8	for	for	ADP
fis-1465	58	9	(	(	PUNCT
fis-1465	58	10	)	)	PUNCT
fis-1465	58	11	ap	ap	PROPN
fis-1465	58	12	s	s	PROPN
fis-1465	58	13	is	be	AUX
fis-1465	58	14	not	not	PART
fis-1465	58	15	available	available	ADJ
fis-1465	58	16	in	in	ADP
fis-1465	58	17	the	the	DET
fis-1465	58	18	literature	literature	NOUN
fis-1465	58	19	and	and	CCONJ
fis-1465	58	20	,	,	PUNCT
fis-1465	58	21	therefore	therefore	ADV
fis-1465	58	22	,	,	PUNCT
fis-1465	58	23	tovo	tovo	PROPN
fis-1465	58	24	and	and	CCONJ
fis-1465	58	25	benasciutti	benasciutti	ADJ
fis-1465	59	1	[	[	X
fis-1465	59	2	11	11	NUM
fis-1465	59	3	]	]	PUNCT
fis-1465	59	4	addressed	address	VERB
fis-1465	59	5	the	the	DET
fis-1465	59	6	problem	problem	NOUN
fis-1465	59	7	of	of	ADP
fis-1465	59	8	the	the	DET
fis-1465	59	9	rfc	rfc	PROPN
fis-1465	59	10	damage	damage	NOUN
fis-1465	59	11	estimation	estimation	NOUN
fis-1465	59	12	as	as	ADP
fis-1465	59	13	the	the	DET
fis-1465	59	14	search	search	NOUN
fis-1465	59	15	for	for	ADP
fis-1465	59	16	the	the	DET
fis-1465	59	17	proper	proper	ADJ
fis-1465	59	18	intermediate	intermediate	ADJ
fis-1465	59	19	value	value	NOUN
fis-1465	59	20	between	between	ADP
fis-1465	59	21	the	the	DET
fis-1465	59	22	lower	low	ADJ
fis-1465	59	23	and	and	CCONJ
fis-1465	59	24	the	the	DET
fis-1465	59	25	upper	upper	ADJ
fis-1465	59	26	bounds	bound	NOUN
fis-1465	59	27	of	of	ADP
fis-1465	59	28			ADJ
fis-1465	59	29	rfce	rfce	PROPN
fis-1465	59	30	d	d	NOUN
fis-1465	59	31	.	.	PUNCT
fis-1465	60	1	by	by	ADP
fis-1465	60	2	taking	take	VERB
fis-1465	60	3	as	as	ADP
fis-1465	60	4	counting	count	VERB
fis-1465	60	5	variable	variable	ADJ
fis-1465	60	6	an	an	DET
fis-1465	60	7	equivalent	equivalent	ADJ
fis-1465	60	8	uniaxial	uniaxial	ADJ
fis-1465	60	9	stress	stress	NOUN
fis-1465	60	10	having	have	VERB
fis-1465	60	11	the	the	DET
fis-1465	60	12	psd	psd	PROPN
fis-1465	60	13	function	function	PROPN
fis-1465	60	14	eqs	eqs	PROPN
fis-1465	60	15	proposed	propose	VERB
fis-1465	60	16	in	in	ADP
fis-1465	60	17	eq.(6	eq.(6	NOUN
fis-1465	60	18	)	)	PUNCT
fis-1465	60	19	,	,	PUNCT
fis-1465	60	20	the	the	DET
fis-1465	60	21	expected	expect	VERB
fis-1465	60	22	fatigue	fatigue	NOUN
fis-1465	60	23	damage	damage	NOUN
fis-1465	60	24			ADJ
fis-1465	60	25	rfce	rfce	PROPN
fis-1465	60	26	d	d	NOUN
fis-1465	60	27	and	and	CCONJ
fis-1465	60	28	the	the	DET
fis-1465	60	29	fatigue	fatigue	NOUN
fis-1465	60	30	life	life	NOUN
fis-1465	60	31	calt	calt	NOUN
fis-1465	60	32	are	be	AUX
fis-1465	60	33	hereafter	hereafter	ADV
fis-1465	60	34	evaluated	evaluate	VERB
fis-1465	60	35	.	.	PUNCT
fis-1465	61	1	in	in	ADP
fis-1465	61	2	particular	particular	ADJ
fis-1465	61	3	,	,	PUNCT
fis-1465	61	4	by	by	ADP
fis-1465	61	5	considering	consider	VERB
fis-1465	61	6	a	a	DET
fis-1465	61	7	critical	critical	ADJ
fis-1465	61	8	damage	damage	NOUN
fis-1465	61	9	equal	equal	ADJ
fis-1465	61	10	to	to	ADP
fis-1465	61	11	the	the	DET
fis-1465	61	12	unity	unity	NOUN
fis-1465	61	13	,	,	PUNCT
fis-1465	61	14	the	the	DET
fis-1465	61	15	calculated	calculated	ADJ
fis-1465	61	16	fatigue	fatigue	NOUN
fis-1465	61	17	life	life	NOUN
fis-1465	61	18	,	,	PUNCT
fis-1465	61	19	calt	calt	NOUN
fis-1465	61	20	,	,	PUNCT
fis-1465	61	21	is	be	AUX
fis-1465	61	22	:	:	PUNCT
fis-1465	61	23			ADJ
fis-1465	61	24			ADP
fis-1465	61	25	1	1	NUM
fis-1465	61	26	cal	cal	NOUN
fis-1465	61	27	rfc	rfc	NOUN
fis-1465	61	28	t	t	NOUN
fis-1465	61	29	e	e	PROPN
fis-1465	62	1	d	d	X
fis-1465	62	2			PROPN
fis-1465	62	3	(	(	PUNCT
fis-1465	62	4	8)	8)	NUM
fis-1465	62	5	experimental	experimental	ADJ
fis-1465	62	6	applications	application	NOUN
fis-1465	62	7	he	he	PRON
fis-1465	62	8	criterion	criterion	NOUN
fis-1465	62	9	proposed	propose	VERB
fis-1465	62	10	is	be	AUX
fis-1465	62	11	hereafter	hereafter	ADV
fis-1465	62	12	applied	apply	VERB
fis-1465	62	13	to	to	ADP
fis-1465	62	14	some	some	DET
fis-1465	62	15	results	result	NOUN
fis-1465	62	16	of	of	ADP
fis-1465	62	17	fatigue	fatigue	NOUN
fis-1465	62	18	tests	test	NOUN
fis-1465	62	19	on	on	ADP
fis-1465	62	20	round	round	ADJ
fis-1465	62	21	specimens	specimen	NOUN
fis-1465	62	22	made	make	VERB
fis-1465	62	23	of	of	ADP
fis-1465	62	24	10hnap	10hnap	PROPN
fis-1465	62	25	steel	steel	NOUN
fis-1465	62	26	,	,	PUNCT
fis-1465	62	27	subjected	subject	VERB
fis-1465	62	28	to	to	ADP
fis-1465	62	29	a	a	DET
fis-1465	62	30	combination	combination	NOUN
fis-1465	62	31	of	of	ADP
fis-1465	62	32	random	random	ADJ
fis-1465	62	33	proportional	proportional	ADJ
fis-1465	62	34	bending	bending	NOUN
fis-1465	62	35	and	and	CCONJ
fis-1465	62	36	torsion	torsion	NOUN
fis-1465	63	1	[	[	X
fis-1465	63	2	12	12	NUM
fis-1465	63	3	]	]	PUNCT
fis-1465	63	4	.	.	PUNCT
fis-1465	64	1	such	such	DET
fis-1465	64	2	a	a	DET
fis-1465	64	3	steel	steel	NOUN
fis-1465	64	4	presents	present	VERB
fis-1465	64	5	a	a	DET
fis-1465	64	6	finegrained	finegraine	VERB
fis-1465	64	7	ferritic	ferritic	ADJ
fis-1465	64	8	-	-	PUNCT
fis-1465	64	9	pearlitic	pearlitic	ADJ
fis-1465	64	10	structure	structure	NOUN
fis-1465	64	11	,	,	PUNCT
fis-1465	64	12	and	and	CCONJ
fis-1465	64	13	its	its	PRON
fis-1465	64	14	mechanical	mechanical	ADJ
fis-1465	64	15	properties	property	NOUN
fis-1465	64	16	are	be	AUX
fis-1465	64	17	as	as	SCONJ
fis-1465	64	18	follows	follow	VERB
fis-1465	64	19	:	:	PUNCT
fis-1465	64	20	tensile	tensile	NOUN
fis-1465	64	21	strength	strength	NOUN
fis-1465	64	22	mr	mr	PROPN
fis-1465	64	23	=	=	PROPN
fis-1465	64	24	566	566	NUM
fis-1465	64	25	mpa	mpa	NOUN
fis-1465	64	26	,	,	PUNCT
fis-1465	64	27	yield	yield	VERB
fis-1465	64	28	stress	stress	NOUN
fis-1465	64	29	er	er	INTJ
fis-1465	64	30	=	=	SYM
fis-1465	64	31	418	418	NUM
fis-1465	64	32	mpa	mpa	NOUN
fis-1465	64	33	,	,	PUNCT
fis-1465	64	34	young	young	ADJ
fis-1465	64	35	modulus	modulus	NOUN
fis-1465	64	36	e	e	NOUN
fis-1465	64	37	=	=	SYM
fis-1465	64	38	215	215	NUM
fis-1465	64	39	gpa	gpa	PROPN
fis-1465	64	40	,	,	PUNCT
fis-1465	64	41	poisson	poisson	NOUN
fis-1465	64	42	ratio	ratio	NOUN
fis-1465	64	43			PROPN
fis-1465	65	1	=	=	NOUN
fis-1465	65	2	0.29	0.29	NUM
fis-1465	65	3	.	.	PUNCT
fis-1465	66	1	the	the	DET
fis-1465	66	2	adopted	adopt	VERB
fis-1465	66	3	fatigue	fatigue	NOUN
fis-1465	66	4	properties	property	NOUN
fis-1465	66	5	are	be	AUX
fis-1465	66	6	:	:	PUNCT
fis-1465	66	7	normal	normal	ADJ
fis-1465	66	8	stress	stress	NOUN
fis-1465	66	9	fatigue	fatigue	NOUN
fis-1465	66	10	limit	limit	NOUN
fis-1465	66	11	(	(	PUNCT
fis-1465	66	12	under	under	ADP
fis-1465	66	13	fully	fully	ADV
fis-1465	66	14	reversed	reverse	VERB
fis-1465	66	15	bending	bending	NOUN
fis-1465	66	16	)	)	PUNCT
fis-1465	66	17	af	af	X
fis-1465	67	1	=	=	PUNCT
fis-1465	67	2	358.0	358.0	NUM
fis-1465	67	3	mpa	mpa	NOUN
fis-1465	67	4	at	at	ADP
fis-1465	67	5	6	6	NUM
fis-1465	67	6	0	0	NUM
fis-1465	67	7	1.282	1.282	NUM
fis-1465	67	8	10n	10n	NOUN
fis-1465	67	9			PROPN
fis-1465	67	10			PROPN
fis-1465	67	11	cycles	cycle	NOUN
fis-1465	68	1	[	[	X
fis-1465	68	2	12	12	NUM
fis-1465	68	3	]	]	PUNCT
fis-1465	68	4	,	,	PUNCT
fis-1465	68	5	shear	shear	NOUN
fis-1465	68	6	stress	stress	ADJ
fis-1465	68	7	fatigue	fatigue	NOUN
fis-1465	68	8	limit	limit	NOUN
fis-1465	68	9	(	(	PUNCT
fis-1465	68	10	under	under	ADP
fis-1465	68	11	fully	fully	ADV
fis-1465	68	12	reversed	reverse	VERB
fis-1465	68	13	torsion	torsion	NOUN
fis-1465	68	14	)	)	PUNCT
fis-1465	69	1	af	af	ADV
fis-1465	69	2	=	=	PUNCT
fis-1465	69	3	182.0	182.0	NUM
fis-1465	69	4	mpa	mpa	NOUN
fis-1465	69	5	at	at	ADP
fis-1465	69	6	6	6	NUM
fis-1465	69	7	0	0	NUM
fis-1465	69	8	1.282	1.282	NUM
fis-1465	69	9	10n	10n	NOUN
fis-1465	69	10			PROPN
fis-1465	69	11			PROPN
fis-1465	69	12	cycles	cycle	NOUN
fis-1465	70	1	[	[	X
fis-1465	70	2	12	12	NUM
fis-1465	70	3	]	]	PUNCT
fis-1465	70	4	,	,	PUNCT
fis-1465	70	5	inverse	inverse	NOUN
fis-1465	70	6	slope	slope	NOUN
fis-1465	70	7	of	of	ADP
fis-1465	70	8	normal	normal	ADJ
fis-1465	70	9	stress	stress	NOUN
fis-1465	70	10	s	s	PROPN
fis-1465	70	11	-	-	PUNCT
fis-1465	70	12	n	n	ADV
fis-1465	70	13	curve	curve	NOUN
fis-1465	70	14	(	(	PUNCT
fis-1465	70	15	under	under	ADP
fis-1465	70	16	push	push	NOUN
fis-1465	70	17	-	-	PUNCT
fis-1465	70	18	pull	pull	VERB
fis-1465	70	19	)	)	PUNCT
fis-1465	70	20	k	k	X
fis-1465	71	1	=	=	PUNCT
fis-1465	71	2	9.82	9.82	NUM
fis-1465	72	1	[	[	X
fis-1465	72	2	4	4	NUM
fis-1465	72	3	]	]	PUNCT
fis-1465	72	4	(	(	PUNCT
fis-1465	72	5	for	for	ADP
fis-1465	72	6	af	af	PROPN
fis-1465	72	7	=	=	SYM
fis-1465	72	8	358.0	358.0	NUM
fis-1465	72	9	mpa	mpa	NOUN
fis-1465	72	10	at	at	ADP
fis-1465	72	11	6	6	NUM
fis-1465	72	12	0	0	NUM
fis-1465	72	13	1.282	1.282	NUM
fis-1465	72	14	10n	10n	NOUN
fis-1465	72	15			PROPN
fis-1465	72	16			PROPN
fis-1465	72	17	cycles	cycle	NOUN
fis-1465	72	18	c	c	NOUN
fis-1465	73	1	=	=	SYM
fis-1465	73	2	1.54(10)31	1.54(10)31	PROPN
fis-1465	73	3	mpa9.82	mpa9.82	PROPN
fis-1465	73	4	.	.	PUNCT
fis-1465	73	5	)	)	PUNCT
fis-1465	73	6	.	.	PUNCT
fis-1465	74	1	stationary	stationary	ADJ
fis-1465	74	2	and	and	CCONJ
fis-1465	74	3	ergodic	ergodic	ADJ
fis-1465	74	4	random	random	ADJ
fis-1465	74	5	loading	loading	NOUN
fis-1465	74	6	applied	apply	VERB
fis-1465	74	7	to	to	ADP
fis-1465	74	8	the	the	DET
fis-1465	74	9	above	above	ADJ
fis-1465	74	10	specimens	specimen	NOUN
fis-1465	74	11	presents	present	NOUN
fis-1465	74	12	zero	zero	NUM
fis-1465	74	13	expected	expect	VERB
fis-1465	74	14	value	value	NOUN
fis-1465	74	15	,	,	PUNCT
fis-1465	74	16	normal	normal	ADJ
fis-1465	74	17	probability	probability	NOUN
fis-1465	74	18	distribution	distribution	NOUN
fis-1465	74	19	and	and	CCONJ
fis-1465	74	20	wide	wide	ADJ
fis-1465	74	21	-	-	PUNCT
fis-1465	74	22	band	band	NOUN
fis-1465	74	23	frequency	frequency	NOUN
fis-1465	74	24	spectrum	spectrum	NOUN
fis-1465	74	25	(	(	PUNCT
fis-1465	74	26	0	0	NUM
fis-1465	74	27	-	-	SYM
fis-1465	74	28	60	60	NUM
fis-1465	74	29	hz	hz	NOUN
fis-1465	74	30	)	)	PUNCT
fis-1465	74	31	.	.	PUNCT
fis-1465	75	1	the	the	DET
fis-1465	75	2	high	high	ADJ
fis-1465	75	3	-	-	PUNCT
fis-1465	75	4	cycle	cycle	NOUN
fis-1465	75	5	fatigue	fatigue	NOUN
fis-1465	75	6	tests	test	NOUN
fis-1465	75	7	here	here	ADV
fis-1465	75	8	examined	examine	VERB
fis-1465	75	9	are	be	AUX
fis-1465	75	10	related	relate	VERB
fis-1465	75	11	to	to	ADP
fis-1465	75	12	two	two	NUM
fis-1465	75	13	combinations	combination	NOUN
fis-1465	75	14	of	of	ADP
fis-1465	75	15	proportional	proportional	ADJ
fis-1465	75	16	torsional	torsional	NOUN
fis-1465	75	17	,	,	PUNCT
fis-1465	75	18	(	(	PUNCT
fis-1465	75	19	)	)	PUNCT
fis-1465	75	20	tm	tm	PROPN
fis-1465	75	21	t	t	PROPN
fis-1465	75	22	,	,	PUNCT
fis-1465	75	23	and	and	CCONJ
fis-1465	75	24	bending	bend	VERB
fis-1465	75	25	,	,	PUNCT
fis-1465	75	26	(	(	PUNCT
fis-1465	75	27	)	)	PUNCT
fis-1465	75	28	bm	bm	PROPN
fis-1465	75	29	t	t	PROPN
fis-1465	75	30	,	,	PUNCT
fis-1465	75	31	moments	moment	NOUN
fis-1465	75	32	,	,	PUNCT
fis-1465	75	33	namely	namely	ADV
fis-1465	75	34	:	:	PUNCT
fis-1465	75	35	21	21	NUM
fis-1465	75	36	specimens	specimen	NOUN
fis-1465	75	37	for	for	ADP
fis-1465	75	38	/	/	SYM
fis-1465	75	39	8	8	PROPN
fis-1465	75	40			VERB
fis-1465	75	41	,	,	PUNCT
fis-1465	75	42	and	and	CCONJ
fis-1465	75	43	14	14	NUM
fis-1465	75	44	specimens	specimen	NOUN
fis-1465	75	45	for	for	ADP
fis-1465	75	46	/	/	SYM
fis-1465	75	47	4	4	NOUN
fis-1465	75	48			PRON
fis-1465	75	49	(	(	PUNCT
fis-1465	75	50	fig	fig	NOUN
fis-1465	75	51	.	.	PUNCT
fis-1465	76	1	1	1	NUM
fis-1465	76	2	)	)	PUNCT
fis-1465	76	3	.	.	PUNCT
fis-1465	77	1	for	for	ADP
fis-1465	77	2	each	each	DET
fis-1465	77	3	specimen	speciman	NOUN
fis-1465	77	4	,	,	PUNCT
fis-1465	77	5	the	the	DET
fis-1465	77	6	fatigue	fatigue	NOUN
fis-1465	77	7	life	life	NOUN
fis-1465	77	8	texp	texp	NOUN
fis-1465	77	9	is	be	AUX
fis-1465	77	10	experimentally	experimentally	ADV
fis-1465	77	11	determined	determine	VERB
fis-1465	77	12	.	.	PUNCT
fis-1465	78	1	l	l	NOUN
fis-1465	78	2	t	t	PROPN
fis-1465	78	3	a.	a.	NOUN
fis-1465	78	4	carpinteri	carpinteri	PROPN
fis-1465	78	5	et	et	PROPN
fis-1465	78	6	alii	alii	PROPN
fis-1465	78	7	,	,	PUNCT
fis-1465	78	8	frattura	frattura	PROPN
fis-1465	78	9	ed	ed	PROPN
fis-1465	78	10	integrità	integrità	PROPN
fis-1465	78	11	strutturale	strutturale	PROPN
fis-1465	78	12	,	,	PUNCT
fis-1465	78	13	33	33	NUM
fis-1465	78	14	(	(	PUNCT
fis-1465	78	15	2015	2015	NUM
fis-1465	78	16	)	)	PUNCT
fis-1465	78	17	376	376	NUM
fis-1465	78	18	-	-	SYM
fis-1465	78	19	381	381	NUM
fis-1465	78	20	;	;	PUNCT
fis-1465	78	21	doi	doi	NOUN
fis-1465	78	22	:	:	PUNCT
fis-1465	78	23	10.3221	10.3221	NUM
fis-1465	78	24	/	/	SYM
fis-1465	78	25	igf	igf	PROPN
fis-1465	78	26	-	-	PUNCT
fis-1465	78	27	esis.33.41	esis.33.41	PROPN
fis-1465	78	28	379	379	NUM
fis-1465	78	29	m	m	NOUN
fis-1465	78	30	mb	mb	ADP
fis-1465	78	31			PUNCT
fis-1465	78	32	mt	mt	PROPN
fis-1465	78	33	8	8	NUM
fis-1465	78	34	90	90	NUM
fis-1465	78	35	30	30	NUM
fis-1465	78	36	r	r	NOUN
fis-1465	78	37	45	45	NUM
fis-1465	78	38	12.7	12.7	NUM
fis-1465	78	39	30	30	NUM
fis-1465	78	40	figure	figure	NOUN
fis-1465	78	41	1	1	NUM
fis-1465	78	42	:	:	PUNCT
fis-1465	78	43	fatigue	fatigue	NOUN
fis-1465	78	44	tests	test	NOUN
fis-1465	78	45	on	on	ADP
fis-1465	78	46	round	round	ADJ
fis-1465	78	47	specimens	specimen	NOUN
fis-1465	78	48	(	(	PUNCT
fis-1465	78	49	10hnap	10hnap	NUM
fis-1465	78	50	steel	steel	NOUN
fis-1465	78	51	):	):	PUNCT
fis-1465	78	52	torsion	torsion	NOUN
fis-1465	78	53	and	and	CCONJ
fis-1465	78	54	bending	bending	NOUN
fis-1465	78	55	.	.	PUNCT
fis-1465	79	1	the	the	DET
fis-1465	79	2	35	35	NUM
fis-1465	79	3	specimens	specimen	NOUN
fis-1465	79	4	tested	test	VERB
fis-1465	79	5	under	under	ADP
fis-1465	79	6	multiaxial	multiaxial	ADJ
fis-1465	79	7	loading	loading	NOUN
fis-1465	79	8	are	be	AUX
fis-1465	79	9	analysed	analyse	VERB
fis-1465	79	10	in	in	ADP
fis-1465	79	11	the	the	DET
fis-1465	79	12	following	following	NOUN
fis-1465	79	13	by	by	ADP
fis-1465	79	14	employing	employ	VERB
fis-1465	79	15	the	the	DET
fis-1465	79	16	actual	actual	ADJ
fis-1465	79	17	experimental	experimental	ADJ
fis-1465	79	18	loading	loading	NOUN
fis-1465	79	19	histories	history	NOUN
fis-1465	79	20	,	,	PUNCT
fis-1465	79	21	which	which	PRON
fis-1465	79	22	are	be	AUX
fis-1465	79	23	characterised	characterise	VERB
fis-1465	79	24	by	by	ADP
fis-1465	79	25	a	a	DET
fis-1465	79	26	sampling	sample	VERB
fis-1465	79	27	frequency	frequency	NOUN
fis-1465	79	28	of	of	ADP
fis-1465	79	29	266.67	266.67	NUM
fis-1465	79	30	hz	hz	VERB
fis-1465	79	31	and	and	CCONJ
fis-1465	79	32	a	a	DET
fis-1465	79	33	total	total	ADJ
fis-1465	79	34	duration	duration	NOUN
fis-1465	79	35	of	of	ADP
fis-1465	79	36	184.32	184.32	NUM
fis-1465	79	37	s	s	NOUN
fis-1465	80	1	[	[	X
fis-1465	80	2	12	12	NUM
fis-1465	80	3	]	]	PUNCT
fis-1465	80	4	.	.	PUNCT
fis-1465	81	1	then	then	ADV
fis-1465	81	2	,	,	PUNCT
fis-1465	81	3	the	the	DET
fis-1465	81	4	theoretical	theoretical	ADJ
fis-1465	81	5	procedure	procedure	NOUN
fis-1465	81	6	presented	present	VERB
fis-1465	81	7	in	in	ADP
fis-1465	81	8	the	the	DET
fis-1465	81	9	previous	previous	ADJ
fis-1465	81	10	sections	section	NOUN
fis-1465	81	11	is	be	AUX
fis-1465	81	12	applied	apply	VERB
fis-1465	81	13	to	to	ADP
fis-1465	81	14	such	such	ADJ
fis-1465	81	15	experimental	experimental	ADJ
fis-1465	81	16	data	datum	NOUN
fis-1465	81	17	,	,	PUNCT
fis-1465	81	18	and	and	CCONJ
fis-1465	81	19	the	the	DET
fis-1465	81	20	fatigue	fatigue	NOUN
fis-1465	81	21	life	life	NOUN
fis-1465	81	22	calt	calt	NOUN
fis-1465	81	23	is	be	AUX
fis-1465	81	24	computed	compute	VERB
fis-1465	81	25	.	.	PUNCT
fis-1465	82	1	the	the	DET
fis-1465	82	2	comparisons	comparison	NOUN
fis-1465	82	3	between	between	ADP
fis-1465	82	4	experimental	experimental	ADJ
fis-1465	82	5	data	datum	NOUN
fis-1465	82	6	and	and	CCONJ
fis-1465	82	7	theoretical	theoretical	ADJ
fis-1465	82	8	evaluations	evaluation	NOUN
fis-1465	82	9	are	be	AUX
fis-1465	82	10	illustrated	illustrate	VERB
fis-1465	82	11	in	in	ADP
fis-1465	82	12	figs	fig	NOUN
fis-1465	82	13	2	2	NUM
fis-1465	82	14	and	and	CCONJ
fis-1465	82	15	3	3	NUM
fis-1465	82	16	,	,	PUNCT
fis-1465	82	17	where	where	SCONJ
fis-1465	82	18	the	the	DET
fis-1465	82	19	solid	solid	ADJ
fis-1465	82	20	line	line	NOUN
fis-1465	82	21	indicates	indicate	VERB
fis-1465	82	22	calt	calt	NOUN
fis-1465	82	23	=	=	SYM
fis-1465	82	24	texp	texp	NOUN
fis-1465	82	25	,	,	PUNCT
fis-1465	82	26	the	the	DET
fis-1465	82	27	dashed	dash	VERB
fis-1465	82	28	lines	line	NOUN
fis-1465	82	29	correspond	correspond	VERB
fis-1465	82	30	to	to	ADP
fis-1465	82	31	/cal	/cal	PROPN
fis-1465	82	32	ext	ext	PROPN
fis-1465	82	33	t	t	PROPN
fis-1465	82	34	p	p	PROPN
fis-1465	82	35	equal	equal	ADJ
fis-1465	82	36	to	to	ADP
fis-1465	82	37	0.5	0.5	NUM
fis-1465	82	38	and	and	CCONJ
fis-1465	82	39	2	2	NUM
fis-1465	82	40	,	,	PUNCT
fis-1465	82	41	and	and	CCONJ
fis-1465	82	42	the	the	DET
fis-1465	82	43	dashdot	dashdot	ADJ
fis-1465	82	44	lines	line	NOUN
fis-1465	82	45	correspond	correspond	VERB
fis-1465	82	46	to	to	ADP
fis-1465	82	47	/cal	/cal	PROPN
fis-1465	82	48	ext	ext	PROPN
fis-1465	82	49	t	t	PROPN
fis-1465	82	50	p	p	PROPN
fis-1465	82	51	equal	equal	ADJ
fis-1465	82	52	to	to	ADP
fis-1465	82	53	0.3	0.3	NUM
fis-1465	82	54	and	and	CCONJ
fis-1465	82	55	3	3	NUM
fis-1465	82	56	.	.	PUNCT
fis-1465	83	1	a	a	DET
fis-1465	83	2	good	good	ADJ
fis-1465	83	3	agreement	agreement	NOUN
fis-1465	83	4	for	for	ADP
fis-1465	83	5	the	the	DET
fis-1465	83	6	fatigue	fatigue	NOUN
fis-1465	83	7	loading	loading	NOUN
fis-1465	83	8	examined	examine	VERB
fis-1465	83	9	can	can	AUX
fis-1465	83	10	be	be	AUX
fis-1465	83	11	observed	observe	VERB
fis-1465	83	12	.	.	PUNCT
fis-1465	84	1	t	t	PROPN
fis-1465	84	2	c	c	PROPN
fis-1465	84	3	al	al	PROPN
fis-1465	84	4	,	,	PUNCT
fis-1465	85	1	[	[	X
fis-1465	85	2	c	c	X
fis-1465	85	3	yc	yc	X
fis-1465	85	4	le	le	PROPN
fis-1465	85	5	s	s	PROPN
fis-1465	85	6	]	]	X
fis-1465	85	7	texp	texp	NOUN
fis-1465	85	8	,	,	PUNCT
fis-1465	85	9	[	[	X
fis-1465	85	10	cycles	cycle	NOUN
fis-1465	85	11	]	]	PUNCT
fis-1465	85	12	105104102	105104102	NUM
fis-1465	85	13	106	106	NUM
fis-1465	85	14	107102	107102	NUM
fis-1465	85	15	103	103	NUM
fis-1465	85	16	104	104	NUM
fis-1465	85	17	105	105	NUM
fis-1465	85	18	106	106	NUM
fis-1465	85	19	=	=	VERB
fis-1465	85	20	8	8	PUNCT
fis-1465	85	21	103	103	NUM
fis-1465	85	22	107	107	NUM
fis-1465	85	23	t	t	NOUN
fis-1465	85	24	c	c	PROPN
fis-1465	85	25	al	al	PROPN
fis-1465	85	26	,	,	PUNCT
fis-1465	86	1	[	[	X
fis-1465	86	2	c	c	X
fis-1465	86	3	yc	yc	X
fis-1465	86	4	le	le	PROPN
fis-1465	86	5	s	s	PROPN
fis-1465	86	6	]	]	X
fis-1465	86	7	texp	texp	NOUN
fis-1465	86	8	,	,	PUNCT
fis-1465	86	9	[	[	X
fis-1465	86	10	cycles	cycle	NOUN
fis-1465	86	11	]	]	PUNCT
fis-1465	86	12	105104102	105104102	NUM
fis-1465	86	13	106	106	NUM
fis-1465	86	14	107102	107102	NUM
fis-1465	86	15	103	103	NUM
fis-1465	86	16	104	104	NUM
fis-1465	86	17	105	105	NUM
fis-1465	86	18	106	106	NUM
fis-1465	86	19	=	=	NOUN
fis-1465	86	20	4	4	PROPN
fis-1465	86	21	103	103	NUM
fis-1465	86	22	107	107	NUM
fis-1465	86	23	figure	figure	NOUN
fis-1465	86	24	2	2	NUM
fis-1465	86	25	:	:	PUNCT
fis-1465	86	26	comparison	comparison	NOUN
fis-1465	86	27	between	between	ADP
fis-1465	86	28	experimental	experimental	ADJ
fis-1465	86	29	and	and	CCONJ
fis-1465	86	30	theoretical	theoretical	ADJ
fis-1465	86	31	fatigue	fatigue	NOUN
fis-1465	86	32	lives	live	VERB
fis-1465	86	33	(	(	PUNCT
fis-1465	86	34	/	/	SYM
fis-1465	86	35	8	8	PROPN
fis-1465	86	36			NUM
fis-1465	86	37	)	)	PUNCT
fis-1465	86	38	.	.	PUNCT
fis-1465	87	1	figure	figure	VERB
fis-1465	87	2	3	3	NUM
fis-1465	87	3	:	:	PUNCT
fis-1465	87	4	comparison	comparison	NOUN
fis-1465	87	5	between	between	ADP
fis-1465	87	6	experimental	experimental	ADJ
fis-1465	87	7	and	and	CCONJ
fis-1465	87	8	theoretical	theoretical	ADJ
fis-1465	87	9	fatigue	fatigue	NOUN
fis-1465	87	10	lives	live	VERB
fis-1465	87	11	(	(	PUNCT
fis-1465	87	12	/	/	SYM
fis-1465	87	13	4	4	NOUN
fis-1465	87	14			PRON
fis-1465	87	15	)	)	PUNCT
fis-1465	87	16	.	.	PUNCT
fis-1465	88	1	the	the	DET
fis-1465	88	2	comparisons	comparison	NOUN
fis-1465	88	3	presented	present	VERB
fis-1465	88	4	in	in	ADP
fis-1465	88	5	figs	fig	NOUN
fis-1465	88	6	2	2	NUM
fis-1465	88	7	and	and	CCONJ
fis-1465	88	8	3	3	NUM
fis-1465	88	9	seem	seem	VERB
fis-1465	88	10	to	to	PART
fis-1465	88	11	be	be	AUX
fis-1465	88	12	quite	quite	ADV
fis-1465	88	13	satisfactory	satisfactory	ADJ
fis-1465	88	14	,	,	PUNCT
fis-1465	88	15	with	with	ADP
fis-1465	88	16	63	63	NUM
fis-1465	88	17	%	%	NOUN
fis-1465	88	18	of	of	ADP
fis-1465	88	19	the	the	DET
fis-1465	88	20	fatigue	fatigue	NOUN
fis-1465	88	21	life	life	NOUN
fis-1465	88	22	calculation	calculation	NOUN
fis-1465	88	23	results	result	NOUN
fis-1465	88	24	included	include	VERB
fis-1465	88	25	into	into	ADP
fis-1465	88	26	the	the	DET
fis-1465	88	27	scatter	scatter	NOUN
fis-1465	88	28	band	band	NOUN
fis-1465	88	29	with	with	ADP
fis-1465	88	30	coefficient	coefficient	NOUN
fis-1465	88	31	2	2	NUM
fis-1465	88	32	,	,	PUNCT
fis-1465	88	33	whereas	whereas	SCONJ
fis-1465	88	34	66	66	NUM
fis-1465	88	35	%	%	NOUN
fis-1465	88	36	of	of	ADP
fis-1465	88	37	such	such	ADJ
fis-1465	88	38	results	result	NOUN
fis-1465	88	39	are	be	AUX
fis-1465	88	40	included	include	VERB
fis-1465	88	41	into	into	ADP
fis-1465	88	42	the	the	DET
fis-1465	88	43	scatter	scatter	NOUN
fis-1465	88	44	band	band	NOUN
fis-1465	88	45	with	with	ADP
fis-1465	88	46	coefficient	coefficient	NOUN
fis-1465	88	47	3	3	X
fis-1465	88	48	.	.	PUNCT
fis-1465	89	1	the	the	DET
fis-1465	89	2	theoretical	theoretical	ADJ
fis-1465	89	3	results	result	NOUN
fis-1465	89	4	based	base	VERB
fis-1465	89	5	on	on	ADP
fis-1465	89	6	the	the	DET
fis-1465	89	7	frequency	frequency	NOUN
fis-1465	89	8	domain	domain	NOUN
fis-1465	89	9	approach	approach	NOUN
fis-1465	89	10	are	be	AUX
fis-1465	89	11	also	also	ADV
fis-1465	89	12	compared	compare	VERB
fis-1465	89	13	with	with	ADP
fis-1465	89	14	those	those	PRON
fis-1465	89	15	determined	determine	VERB
fis-1465	89	16	by	by	ADP
fis-1465	89	17	the	the	DET
fis-1465	89	18	timedomain	timedomain	ADJ
fis-1465	89	19	criterion	criterion	NOUN
fis-1465	89	20	proposed	propose	VERB
fis-1465	89	21	in	in	ADP
fis-1465	89	22	ref	ref	NOUN
fis-1465	89	23	.	.	PUNCT
fis-1465	90	1	[	[	X
fis-1465	90	2	4	4	NUM
fis-1465	90	3	]	]	PUNCT
fis-1465	90	4	(	(	PUNCT
fis-1465	90	5	figs	fig	NOUN
fis-1465	90	6	4	4	NUM
fis-1465	90	7	-	-	SYM
fis-1465	90	8	5	5	NUM
fis-1465	90	9	)	)	PUNCT
fis-1465	90	10	.	.	PUNCT
fis-1465	91	1	note	note	VERB
fis-1465	91	2	that	that	SCONJ
fis-1465	91	3	the	the	DET
fis-1465	91	4	results	result	NOUN
fis-1465	91	5	here	here	ADV
fis-1465	91	6	presented	present	VERB
fis-1465	91	7	based	base	VERB
fis-1465	91	8	on	on	ADP
fis-1465	91	9	the	the	DET
fis-1465	91	10	time	time	NOUN
fis-1465	91	11	-	-	PUNCT
fis-1465	91	12	domain	domain	NOUN
fis-1465	91	13	criterion	criterion	NOUN
fis-1465	91	14	(	(	PUNCT
fis-1465	91	15	based	base	VERB
fis-1465	91	16	on	on	ADP
fis-1465	91	17	a	a	DET
fis-1465	91	18	non	non	ADJ
fis-1465	91	19	-	-	ADJ
fis-1465	91	20	linear	linear	ADJ
fis-1465	91	21	damage	damage	NOUN
fis-1465	91	22	accumulation	accumulation	NOUN
fis-1465	91	23	rule	rule	NOUN
fis-1465	91	24	)	)	PUNCT
fis-1465	91	25	are	be	AUX
fis-1465	91	26	slightly	slightly	ADV
fis-1465	91	27	different	different	ADJ
fis-1465	91	28	from	from	ADP
fis-1465	91	29	those	those	PRON
fis-1465	91	30	shown	show	VERB
fis-1465	91	31	in	in	ADP
fis-1465	91	32	ref	ref	NOUN
fis-1465	91	33	.	.	PUNCT
fis-1465	92	1	[	[	X
fis-1465	92	2	4	4	NUM
fis-1465	92	3	]	]	PUNCT
fis-1465	92	4	,	,	PUNCT
fis-1465	92	5	due	due	ADP
fis-1465	92	6	to	to	ADP
fis-1465	92	7	the	the	DET
fis-1465	92	8	different	different	ADJ
fis-1465	92	9	value	value	NOUN
fis-1465	92	10	adopted	adopt	VERB
fis-1465	92	11	for	for	ADP
fis-1465	92	12	the	the	DET
fis-1465	92	13	normal	normal	ADJ
fis-1465	92	14	stress	stress	NOUN
fis-1465	92	15	fatigue	fatigue	NOUN
fis-1465	92	16	limit	limit	NOUN
fis-1465	92	17	(	(	PUNCT
fis-1465	92	18	in	in	ADP
fis-1465	92	19	ref	ref	NOUN
fis-1465	92	20	.	.	PUNCT
fis-1465	93	1	[	[	X
fis-1465	93	2	4	4	NUM
fis-1465	93	3	]	]	PUNCT
fis-1465	93	4	,	,	PUNCT
fis-1465	93	5	af	af	X
fis-1465	93	6	=	=	PUNCT
fis-1465	93	7	225.0	225.0	NUM
fis-1465	93	8	mpa	mpa	NOUN
fis-1465	93	9	related	relate	VERB
fis-1465	93	10	to	to	PART
fis-1465	93	11	push	push	VERB
fis-1465	93	12	-	-	PUNCT
fis-1465	93	13	pull	pull	NOUN
fis-1465	93	14	loading	loading	NOUN
fis-1465	93	15	was	be	AUX
fis-1465	93	16	adopted	adopt	VERB
fis-1465	93	17	)	)	PUNCT
fis-1465	93	18	.	.	PUNCT
fis-1465	94	1	a.	a.	PROPN
fis-1465	94	2	carpinteri	carpinteri	PROPN
fis-1465	94	3	et	et	PROPN
fis-1465	94	4	alii	alii	PROPN
fis-1465	94	5	,	,	PUNCT
fis-1465	94	6	frattura	frattura	PROPN
fis-1465	94	7	ed	ed	PROPN
fis-1465	94	8	integrità	integrità	PROPN
fis-1465	94	9	strutturale	strutturale	PROPN
fis-1465	94	10	,	,	PUNCT
fis-1465	94	11	33	33	NUM
fis-1465	94	12	(	(	PUNCT
fis-1465	94	13	2015	2015	NUM
fis-1465	94	14	)	)	PUNCT
fis-1465	94	15	376	376	NUM
fis-1465	94	16	-	-	SYM
fis-1465	94	17	381	381	NUM
fis-1465	94	18	;	;	PUNCT
fis-1465	94	19	doi	doi	NOUN
fis-1465	94	20	:	:	PUNCT
fis-1465	94	21	10.3221	10.3221	NUM
fis-1465	94	22	/	/	SYM
fis-1465	94	23	igf	igf	PROPN
fis-1465	94	24	-	-	PUNCT
fis-1465	94	25	esis.33.41	esis.33.41	PROPN
fis-1465	94	26	380	380	NUM
fis-1465	94	27	it	it	PRON
fis-1465	94	28	can	can	AUX
fis-1465	94	29	be	be	AUX
fis-1465	94	30	observed	observe	VERB
fis-1465	94	31	that	that	SCONJ
fis-1465	94	32	better	well	ADJ
fis-1465	94	33	results	result	NOUN
fis-1465	94	34	are	be	AUX
fis-1465	94	35	derived	derive	VERB
fis-1465	94	36	by	by	ADP
fis-1465	94	37	applying	apply	VERB
fis-1465	94	38	the	the	DET
fis-1465	94	39	new	new	ADJ
fis-1465	94	40	formulation	formulation	NOUN
fis-1465	94	41	,	,	PUNCT
fis-1465	94	42	which	which	PRON
fis-1465	94	43	has	have	VERB
fis-1465	94	44	also	also	ADV
fis-1465	94	45	the	the	DET
fis-1465	94	46	capability	capability	NOUN
fis-1465	94	47	to	to	PART
fis-1465	94	48	be	be	AUX
fis-1465	94	49	more	more	ADV
fis-1465	94	50	computationally	computationally	ADV
fis-1465	94	51	-	-	PUNCT
fis-1465	94	52	efficient	efficient	ADJ
fis-1465	94	53	than	than	ADP
fis-1465	94	54	that	that	PRON
fis-1465	94	55	based	base	VERB
fis-1465	94	56	on	on	ADP
fis-1465	94	57	the	the	DET
fis-1465	94	58	time	time	NOUN
fis-1465	94	59	domain	domain	NOUN
fis-1465	94	60	.	.	PUNCT
fis-1465	95	1	t	t	PROPN
fis-1465	95	2	c	c	PROPN
fis-1465	95	3	al	al	PROPN
fis-1465	95	4	,	,	PUNCT
fis-1465	96	1	[	[	X
fis-1465	96	2	c	c	X
fis-1465	96	3	yc	yc	X
fis-1465	96	4	le	le	PROPN
fis-1465	96	5	s	s	PROPN
fis-1465	96	6	]	]	X
fis-1465	96	7	texp	texp	NOUN
fis-1465	96	8	,	,	PUNCT
fis-1465	96	9	[	[	X
fis-1465	96	10	cycles	cycle	NOUN
fis-1465	96	11	]	]	PUNCT
fis-1465	96	12	105104102	105104102	NUM
fis-1465	96	13	106	106	NUM
fis-1465	96	14	107102	107102	NUM
fis-1465	96	15	103	103	NUM
fis-1465	96	16	104	104	NUM
fis-1465	96	17	105	105	NUM
fis-1465	96	18	106	106	NUM
fis-1465	96	19	=	=	VERB
fis-1465	96	20	8	8	PUNCT
fis-1465	96	21	103	103	NUM
fis-1465	96	22	107	107	NUM
fis-1465	96	23	time	time	NOUN
fis-1465	96	24	frequency	frequency	NOUN
fis-1465	96	25	t	t	PROPN
fis-1465	96	26	c	c	PROPN
fis-1465	96	27	al	al	PROPN
fis-1465	96	28	,	,	PUNCT
fis-1465	97	1	[	[	X
fis-1465	97	2	c	c	X
fis-1465	97	3	yc	yc	X
fis-1465	97	4	le	le	PROPN
fis-1465	97	5	s	s	PROPN
fis-1465	97	6	]	]	X
fis-1465	97	7	texp	texp	NOUN
fis-1465	97	8	,	,	PUNCT
fis-1465	97	9	[	[	X
fis-1465	97	10	cycles	cycle	NOUN
fis-1465	97	11	]	]	PUNCT
fis-1465	97	12	105104102	105104102	NUM
fis-1465	97	13	106	106	NUM
fis-1465	97	14	107102	107102	NUM
fis-1465	97	15	103	103	NUM
fis-1465	97	16	104	104	NUM
fis-1465	97	17	105	105	NUM
fis-1465	97	18	106	106	NUM
fis-1465	97	19	=	=	NOUN
fis-1465	97	20	4	4	PROPN
fis-1465	97	21	103	103	NUM
fis-1465	97	22	107	107	NUM
fis-1465	97	23	time	time	NOUN
fis-1465	97	24	frequency	frequency	NOUN
fis-1465	97	25	figure	figure	NOUN
fis-1465	97	26	4	4	NUM
fis-1465	97	27	:	:	PUNCT
fis-1465	97	28	comparison	comparison	NOUN
fis-1465	97	29	between	between	ADP
fis-1465	97	30	experimental	experimental	ADJ
fis-1465	97	31	and	and	CCONJ
fis-1465	97	32	theoretical	theoretical	ADJ
fis-1465	97	33	fatigue	fatigue	NOUN
fis-1465	97	34	lives	live	VERB
fis-1465	97	35	(	(	PUNCT
fis-1465	97	36	/	/	SYM
fis-1465	97	37	8	8	PROPN
fis-1465	97	38			NUM
fis-1465	97	39	)	)	PUNCT
fis-1465	97	40	,	,	PUNCT
fis-1465	97	41	the	the	DET
fis-1465	97	42	latter	latter	ADJ
fis-1465	97	43	determined	determine	VERB
fis-1465	97	44	by	by	ADP
fis-1465	97	45	employing	employ	VERB
fis-1465	97	46	:	:	PUNCT
fis-1465	97	47	the	the	DET
fis-1465	97	48	frequency	frequency	NOUN
fis-1465	97	49	domain	domain	NOUN
fis-1465	97	50	criterion	criterion	NOUN
fis-1465	97	51	here	here	ADV
fis-1465	97	52	proposed	propose	VERB
fis-1465	97	53	(	(	PUNCT
fis-1465	97	54	see	see	VERB
fis-1465	97	55	solid	solid	ADJ
fis-1465	97	56	symbols	symbol	NOUN
fis-1465	97	57	)	)	PUNCT
fis-1465	97	58	and	and	CCONJ
fis-1465	97	59	the	the	DET
fis-1465	97	60	time	time	NOUN
fis-1465	97	61	domain	domain	NOUN
fis-1465	97	62	criterion	criterion	NOUN
fis-1465	97	63	reported	report	VERB
fis-1465	97	64	in	in	ADP
fis-1465	97	65	ref	ref	NOUN
fis-1465	97	66	.	.	PUNCT
fis-1465	98	1	[	[	X
fis-1465	98	2	4	4	X
fis-1465	98	3	]	]	PUNCT
fis-1465	98	4	(	(	PUNCT
fis-1465	98	5	see	see	VERB
fis-1465	98	6	hollow	hollow	ADJ
fis-1465	98	7	symbols	symbol	NOUN
fis-1465	98	8	)	)	PUNCT
fis-1465	98	9	.	.	PUNCT
fis-1465	99	1	figure	figure	VERB
fis-1465	99	2	5	5	NUM
fis-1465	99	3	:	:	PUNCT
fis-1465	99	4	comparison	comparison	NOUN
fis-1465	99	5	between	between	ADP
fis-1465	99	6	experimental	experimental	ADJ
fis-1465	99	7	and	and	CCONJ
fis-1465	99	8	theoretical	theoretical	ADJ
fis-1465	99	9	fatigue	fatigue	NOUN
fis-1465	99	10	lives	live	VERB
fis-1465	99	11	(	(	PUNCT
fis-1465	99	12	/	/	SYM
fis-1465	99	13	4	4	NOUN
fis-1465	99	14			PRON
fis-1465	99	15	)	)	PUNCT
fis-1465	99	16	,	,	PUNCT
fis-1465	99	17	the	the	DET
fis-1465	99	18	latter	latter	ADJ
fis-1465	99	19	determined	determine	VERB
fis-1465	99	20	by	by	ADP
fis-1465	99	21	employing	employ	VERB
fis-1465	99	22	:	:	PUNCT
fis-1465	99	23	the	the	DET
fis-1465	99	24	frequency	frequency	NOUN
fis-1465	99	25	domain	domain	NOUN
fis-1465	99	26	criterion	criterion	NOUN
fis-1465	99	27	here	here	ADV
fis-1465	99	28	proposed	propose	VERB
fis-1465	99	29	(	(	PUNCT
fis-1465	99	30	see	see	VERB
fis-1465	99	31	solid	solid	ADJ
fis-1465	99	32	symbols	symbol	NOUN
fis-1465	99	33	)	)	PUNCT
fis-1465	99	34	and	and	CCONJ
fis-1465	99	35	the	the	DET
fis-1465	99	36	time	time	NOUN
fis-1465	99	37	domain	domain	NOUN
fis-1465	99	38	criterion	criterion	NOUN
fis-1465	99	39	reported	report	VERB
fis-1465	99	40	in	in	ADP
fis-1465	99	41	ref	ref	NOUN
fis-1465	99	42	.	.	PUNCT
fis-1465	100	1	[	[	X
fis-1465	100	2	4	4	X
fis-1465	100	3	]	]	PUNCT
fis-1465	100	4	(	(	PUNCT
fis-1465	100	5	see	see	VERB
fis-1465	100	6	hollow	hollow	ADJ
fis-1465	100	7	symbols	symbol	NOUN
fis-1465	100	8	)	)	PUNCT
fis-1465	100	9	.	.	PUNCT
fis-1465	101	1	conclusions	conclusion	NOUN
fis-1465	101	2	frequency	frequency	NOUN
fis-1465	101	3	domain	domain	NOUN
fis-1465	101	4	criterion	criterion	NOUN
fis-1465	101	5	is	be	AUX
fis-1465	101	6	presented	present	VERB
fis-1465	101	7	to	to	PART
fis-1465	101	8	evaluate	evaluate	VERB
fis-1465	101	9	the	the	DET
fis-1465	101	10	fatigue	fatigue	NOUN
fis-1465	101	11	life	life	NOUN
fis-1465	101	12	of	of	ADP
fis-1465	101	13	a	a	DET
fis-1465	101	14	smooth	smooth	ADJ
fis-1465	101	15	metallic	metallic	ADJ
fis-1465	101	16	structure	structure	NOUN
fis-1465	101	17	subjected	subject	VERB
fis-1465	101	18	to	to	ADP
fis-1465	101	19	multiaxial	multiaxial	ADJ
fis-1465	101	20	random	random	ADJ
fis-1465	101	21	loading	loading	NOUN
fis-1465	101	22	.	.	PUNCT
fis-1465	102	1	the	the	DET
fis-1465	102	2	critical	critical	ADJ
fis-1465	102	3	plane	plane	NOUN
fis-1465	102	4	orientation	orientation	NOUN
fis-1465	102	5	is	be	AUX
fis-1465	102	6	determined	determine	VERB
fis-1465	102	7	through	through	ADP
fis-1465	102	8	the	the	DET
fis-1465	102	9	psd	psd	NOUN
fis-1465	102	10	matrix	matrix	NOUN
fis-1465	102	11	of	of	ADP
fis-1465	102	12	the	the	DET
fis-1465	102	13	stress	stress	NOUN
fis-1465	102	14	tensor	tensor	NOUN
fis-1465	102	15	.	.	PUNCT
fis-1465	103	1	then	then	ADV
fis-1465	103	2	,	,	PUNCT
fis-1465	103	3	an	an	DET
fis-1465	103	4	equivalent	equivalent	ADJ
fis-1465	103	5	psd	psd	NOUN
fis-1465	103	6	function	function	NOUN
fis-1465	103	7	is	be	AUX
fis-1465	103	8	defined	define	VERB
fis-1465	103	9	and	and	CCONJ
fis-1465	103	10	processed	process	VERB
fis-1465	103	11	through	through	ADP
fis-1465	103	12	a	a	DET
fis-1465	103	13	damage	damage	NOUN
fis-1465	103	14	model	model	NOUN
fis-1465	103	15	in	in	ADP
fis-1465	103	16	order	order	NOUN
fis-1465	103	17	to	to	PART
fis-1465	103	18	determine	determine	VERB
fis-1465	103	19	the	the	DET
fis-1465	103	20	fatigue	fatigue	NOUN
fis-1465	103	21	life	life	NOUN
fis-1465	103	22	of	of	ADP
fis-1465	103	23	the	the	DET
fis-1465	103	24	structural	structural	ADJ
fis-1465	103	25	component	component	NOUN
fis-1465	103	26	being	be	AUX
fis-1465	103	27	examined	examine	VERB
fis-1465	103	28	.	.	PUNCT
fis-1465	104	1	the	the	DET
fis-1465	104	2	comparison	comparison	NOUN
fis-1465	104	3	between	between	ADP
fis-1465	104	4	theoretical	theoretical	ADJ
fis-1465	104	5	and	and	CCONJ
fis-1465	104	6	experimental	experimental	ADJ
fis-1465	104	7	results	result	NOUN
fis-1465	104	8	appears	appear	VERB
fis-1465	104	9	to	to	PART
fis-1465	104	10	be	be	AUX
fis-1465	104	11	quite	quite	ADV
fis-1465	104	12	satisfactory	satisfactory	ADJ
fis-1465	104	13	for	for	ADP
fis-1465	104	14	the	the	DET
fis-1465	104	15	cases	case	NOUN
fis-1465	104	16	analysed	analyse	VERB
fis-1465	104	17	.	.	PUNCT
fis-1465	105	1	references	reference	NOUN
fis-1465	105	2	[	[	X
fis-1465	105	3	1	1	NUM
fis-1465	105	4	]	]	PUNCT
fis-1465	105	5	lagoda	lagoda	NOUN
fis-1465	105	6	,	,	PUNCT
fis-1465	105	7	t.	t.	PROPN
fis-1465	105	8	,	,	PUNCT
fis-1465	105	9	macha	macha	PROPN
fis-1465	105	10	,	,	PUNCT
fis-1465	105	11	e.	e.	PROPN
fis-1465	105	12	,	,	PUNCT
fis-1465	105	13	estimated	estimate	VERB
fis-1465	105	14	and	and	CCONJ
fis-1465	105	15	experimental	experimental	ADJ
fis-1465	105	16	fatigue	fatigue	NOUN
fis-1465	105	17	lives	life	NOUN
fis-1465	105	18	of	of	ADP
fis-1465	105	19	30crnimo8	30crnimo8	NUM
fis-1465	105	20	steel	steel	NOUN
fis-1465	105	21	under	under	ADP
fis-1465	105	22	in	in	ADP
fis-1465	105	23	-	-	PUNCT
fis-1465	105	24	phase	phase	NOUN
fis-1465	105	25	and	and	CCONJ
fis-1465	105	26	out	out	ADP
fis-1465	105	27	-	-	PUNCT
fis-1465	105	28	of	of	ADP
fis-1465	105	29	-	-	PUNCT
fis-1465	105	30	phase	phase	NOUN
fis-1465	105	31	combined	combined	ADJ
fis-1465	105	32	bending	bending	NOUN
fis-1465	105	33	and	and	CCONJ
fis-1465	105	34	torsion	torsion	NOUN
fis-1465	105	35	with	with	ADP
fis-1465	105	36	variable	variable	ADJ
fis-1465	105	37	amplitudes	amplitude	NOUN
fis-1465	105	38	,	,	PUNCT
fis-1465	105	39	fatigue	fatigue	NOUN
fis-1465	105	40	fract	fract	NOUN
fis-1465	105	41	.	.	PUNCT
fis-1465	106	1	engng	engng	PROPN
fis-1465	106	2	mater	mater	PROPN
fis-1465	106	3	.	.	PUNCT
fis-1465	106	4	struct	struct	NOUN
fis-1465	106	5	.	.	PUNCT
fis-1465	106	6	,	,	PUNCT
fis-1465	106	7	17	17	NUM
fis-1465	106	8	(	(	PUNCT
fis-1465	106	9	1994	1994	NUM
fis-1465	106	10	)	)	PUNCT
fis-1465	106	11	1307	1307	NUM
fis-1465	106	12	-	-	SYM
fis-1465	106	13	1318	1318	NUM
fis-1465	106	14	.	.	PUNCT
fis-1465	107	1	[	[	X
fis-1465	107	2	2	2	NUM
fis-1465	107	3	]	]	X
fis-1465	107	4	wang	wang	PROPN
fis-1465	107	5	,	,	PUNCT
fis-1465	107	6	c.h	c.h	PROPN
fis-1465	107	7	.	.	PROPN
fis-1465	107	8	,	,	PUNCT
fis-1465	107	9	brown	brown	PROPN
fis-1465	107	10	,	,	PUNCT
fis-1465	107	11	m.w	m.w	PROPN
fis-1465	107	12	.	.	PROPN
fis-1465	107	13	,	,	PUNCT
fis-1465	107	14	life	life	NOUN
fis-1465	107	15	prediction	prediction	NOUN
fis-1465	107	16	techniques	technique	NOUN
fis-1465	107	17	for	for	ADP
fis-1465	107	18	variable	variable	ADJ
fis-1465	107	19	amplitude	amplitude	NOUN
fis-1465	107	20	multiaxial	multiaxial	ADJ
fis-1465	107	21	fatigue	fatigue	NOUN
fis-1465	107	22	part	part	NOUN
fis-1465	107	23	1	1	NUM
fis-1465	107	24	:	:	PUNCT
fis-1465	107	25	theories	theory	NOUN
fis-1465	107	26	,	,	PUNCT
fis-1465	107	27	j.	j.	PROPN
fis-1465	107	28	eng	eng	PROPN
fis-1465	108	1	.	.	PROPN
fis-1465	108	2	mater	mater	PROPN
fis-1465	108	3	.	.	PUNCT
fis-1465	109	1	technol	technol	PROPN
fis-1465	109	2	.	.	PROPN
fis-1465	109	3	,	,	PUNCT
fis-1465	109	4	118	118	NUM
fis-1465	109	5	(	(	PUNCT
fis-1465	109	6	1996	1996	NUM
fis-1465	109	7	)	)	PUNCT
fis-1465	109	8	367	367	NUM
fis-1465	109	9	-	-	SYM
fis-1465	109	10	370	370	NUM
fis-1465	109	11	.	.	PUNCT
fis-1465	110	1	[	[	X
fis-1465	110	2	3	3	NUM
fis-1465	110	3	]	]	X
fis-1465	110	4	lagoda	lagoda	NOUN
fis-1465	110	5	,	,	PUNCT
fis-1465	110	6	t.	t.	PROPN
fis-1465	110	7	,	,	PUNCT
fis-1465	110	8	macha	macha	PROPN
fis-1465	110	9	,	,	PUNCT
fis-1465	110	10	e.	e.	PROPN
fis-1465	110	11	,	,	PUNCT
fis-1465	110	12	nieslony	nieslony	PROPN
fis-1465	110	13	,	,	PUNCT
fis-1465	110	14	a.	a.	PROPN
fis-1465	110	15	,	,	PUNCT
fis-1465	110	16	muller	muller	NOUN
fis-1465	110	17	,	,	PUNCT
fis-1465	110	18	a.	a.	PROPN
fis-1465	110	19	,	,	PUNCT
fis-1465	110	20	comparison	comparison	NOUN
fis-1465	110	21	of	of	ADP
fis-1465	110	22	calculation	calculation	NOUN
fis-1465	110	23	and	and	CCONJ
fis-1465	110	24	experimental	experimental	ADJ
fis-1465	110	25	fatigue	fatigue	NOUN
fis-1465	110	26	lives	live	VERB
fis-1465	110	27	of	of	ADP
fis-1465	110	28	some	some	DET
fis-1465	110	29	chosen	choose	VERB
fis-1465	110	30	cast	cast	NOUN
fis-1465	110	31	irons	iron	NOUN
fis-1465	110	32	under	under	ADP
fis-1465	110	33	combined	combine	VERB
fis-1465	110	34	tension	tension	NOUN
fis-1465	110	35	and	and	CCONJ
fis-1465	110	36	torsion	torsion	NOUN
fis-1465	110	37	,	,	PUNCT
fis-1465	110	38	in	in	ADP
fis-1465	110	39	:	:	PUNCT
fis-1465	110	40	m.	m.	NOUN
fis-1465	110	41	fuentes	fuentes	PROPN
fis-1465	110	42	et	et	PROPN
fis-1465	110	43	al	al	PROPN
fis-1465	110	44	.	.	PROPN
fis-1465	111	1	(	(	PUNCT
fis-1465	111	2	eds	ed	NOUN
fis-1465	111	3	.	.	PUNCT
fis-1465	111	4	)	)	PUNCT
fis-1465	112	1	,	,	PUNCT
fis-1465	112	2	proceedings	proceeding	NOUN
fis-1465	112	3	of	of	ADP
fis-1465	112	4	ecf13	ecf13	PROPN
fis-1465	112	5	application	application	NOUN
fis-1465	112	6	and	and	CCONJ
fis-1465	112	7	challenges	challenge	NOUN
fis-1465	112	8	,	,	PUNCT
fis-1465	112	9	elsevier	elsevier	NOUN
fis-1465	112	10	,	,	PUNCT
fis-1465	112	11	san	san	PROPN
fis-1465	112	12	sebastian	sebastian	PROPN
fis-1465	112	13	,	,	PUNCT
fis-1465	112	14	spain	spain	PROPN
fis-1465	112	15	,	,	PUNCT
fis-1465	112	16	(	(	PUNCT
fis-1465	112	17	2000	2000	NUM
fis-1465	112	18	)	)	PUNCT
fis-1465	112	19	6	6	NUM
fis-1465	112	20	pages	page	NOUN
fis-1465	112	21	.	.	PUNCT
fis-1465	113	1	[	[	X
fis-1465	113	2	4	4	NUM
fis-1465	113	3	]	]	X
fis-1465	113	4	carpinteri	carpinteri	NOUN
fis-1465	113	5	,	,	PUNCT
fis-1465	113	6	a.	a.	NOUN
fis-1465	113	7	,	,	PUNCT
fis-1465	113	8	spagnoli	spagnoli	PROPN
fis-1465	113	9	,	,	PUNCT
fis-1465	113	10	a.	a.	NOUN
fis-1465	113	11	,	,	PUNCT
fis-1465	113	12	vantadori	vantadori	PROPN
fis-1465	113	13	,	,	PUNCT
fis-1465	113	14	s.	s.	PROPN
fis-1465	113	15	,	,	PUNCT
fis-1465	113	16	a	a	DET
fis-1465	113	17	multiaxial	multiaxial	ADJ
fis-1465	113	18	fatigue	fatigue	NOUN
fis-1465	113	19	criterion	criterion	NOUN
fis-1465	113	20	for	for	ADP
fis-1465	113	21	random	random	ADJ
fis-1465	113	22	loading	loading	NOUN
fis-1465	113	23	,	,	PUNCT
fis-1465	113	24	fatigue	fatigue	NOUN
fis-1465	113	25	fract	fract	NOUN
fis-1465	113	26	.	.	PUNCT
fis-1465	114	1	engng	engng	PROPN
fis-1465	114	2	mater	mater	PROPN
fis-1465	114	3	.	.	PUNCT
fis-1465	114	4	struct	struct	NOUN
fis-1465	114	5	.	.	PUNCT
fis-1465	114	6	,	,	PUNCT
fis-1465	114	7	26	26	NUM
fis-1465	114	8	(	(	PUNCT
fis-1465	114	9	2003	2003	NUM
fis-1465	114	10	)	)	PUNCT
fis-1465	114	11	515	515	NUM
fis-1465	114	12	-	-	SYM
fis-1465	114	13	522	522	NUM
fis-1465	114	14	.	.	PUNCT
fis-1465	115	1	[	[	X
fis-1465	115	2	5	5	NUM
fis-1465	115	3	]	]	X
fis-1465	115	4	carpinteri	carpinteri	NOUN
fis-1465	115	5	,	,	PUNCT
fis-1465	115	6	a.	a.	NOUN
fis-1465	115	7	,	,	PUNCT
fis-1465	115	8	spagnoli	spagnoli	PROPN
fis-1465	115	9	,	,	PUNCT
fis-1465	115	10	a.	a.	NOUN
fis-1465	115	11	,	,	PUNCT
fis-1465	115	12	vantadori	vantadori	PROPN
fis-1465	115	13	,	,	PUNCT
fis-1465	115	14	s.	s.	PROPN
fis-1465	115	15	,	,	PUNCT
fis-1465	115	16	fatigue	fatigue	NOUN
fis-1465	115	17	life	life	NOUN
fis-1465	115	18	estimation	estimation	NOUN
fis-1465	115	19	under	under	ADP
fis-1465	115	20	multiaxial	multiaxial	ADJ
fis-1465	115	21	random	random	ADJ
fis-1465	115	22	loading	loading	NOUN
fis-1465	115	23	using	use	VERB
fis-1465	115	24	a	a	DET
fis-1465	115	25	critical	critical	ADJ
fis-1465	115	26	plane	plane	NOUN
fis-1465	115	27	-	-	PUNCT
fis-1465	115	28	based	base	VERB
fis-1465	115	29	criterion	criterion	NOUN
fis-1465	115	30	,	,	PUNCT
fis-1465	115	31	in	in	ADP
fis-1465	115	32	:	:	PUNCT
fis-1465	115	33	proceedings	proceeding	NOUN
fis-1465	115	34	of	of	ADP
fis-1465	115	35	the	the	DET
fis-1465	115	36	2nd	2nd	ADJ
fis-1465	115	37	int	int	NOUN
fis-1465	115	38	.	.	PUNCT
fis-1465	116	1	conference	conference	NOUN
fis-1465	116	2	on	on	ADP
fis-1465	116	3	material	material	NOUN
fis-1465	116	4	and	and	CCONJ
fis-1465	116	5	component	component	NOUN
fis-1465	116	6	performance	performance	NOUN
fis-1465	116	7	under	under	ADP
fis-1465	116	8	variable	variable	ADJ
fis-1465	116	9	amplitude	amplitude	NOUN
fis-1465	116	10	loading	loading	NOUN
fis-1465	116	11	,	,	PUNCT
fis-1465	116	12	darmstadt	darmstadt	PROPN
fis-1465	116	13	,	,	PUNCT
fis-1465	116	14	germany	germany	PROPN
fis-1465	116	15	,	,	PUNCT
fis-1465	116	16	(	(	PUNCT
fis-1465	116	17	2009	2009	NUM
fis-1465	116	18	)	)	PUNCT
fis-1465	116	19	475	475	NUM
fis-1465	116	20	-	-	SYM
fis-1465	116	21	484	484	NUM
fis-1465	116	22	.	.	PUNCT
fis-1465	117	1	a	a	DET
fis-1465	117	2	a.	a.	NOUN
fis-1465	117	3	carpinteri	carpinteri	NOUN
fis-1465	117	4	et	et	PROPN
fis-1465	117	5	alii	alii	PROPN
fis-1465	117	6	,	,	PUNCT
fis-1465	117	7	frattura	frattura	PROPN
fis-1465	117	8	ed	ed	PROPN
fis-1465	117	9	integrità	integrità	PROPN
fis-1465	117	10	strutturale	strutturale	PROPN
fis-1465	117	11	,	,	PUNCT
fis-1465	117	12	33	33	NUM
fis-1465	117	13	(	(	PUNCT
fis-1465	117	14	2015	2015	NUM
fis-1465	117	15	)	)	PUNCT
fis-1465	117	16	376	376	NUM
fis-1465	117	17	-	-	SYM
fis-1465	117	18	381	381	NUM
fis-1465	117	19	;	;	PUNCT
fis-1465	117	20	doi	doi	NOUN
fis-1465	117	21	:	:	PUNCT
fis-1465	117	22	10.3221	10.3221	NUM
fis-1465	117	23	/	/	SYM
fis-1465	117	24	igf	igf	PROPN
fis-1465	117	25	-	-	PUNCT
fis-1465	117	26	esis.33.41	esis.33.41	ADJ
fis-1465	117	27	381	381	NUM
fis-1465	117	28	[	[	SYM
fis-1465	117	29	6	6	NUM
fis-1465	117	30	]	]	X
fis-1465	117	31	bannantine	bannantine	NOUN
fis-1465	117	32	,	,	PUNCT
fis-1465	117	33	j.a	j.a	PROPN
fis-1465	117	34	.	.	PROPN
fis-1465	117	35	,	,	PUNCT
fis-1465	117	36	socie	socie	PROPN
fis-1465	117	37	,	,	PUNCT
fis-1465	117	38	d.f	d.f	PROPN
fis-1465	117	39	.	.	PROPN
fis-1465	117	40	,	,	PUNCT
fis-1465	117	41	a	a	DET
fis-1465	117	42	variable	variable	ADJ
fis-1465	117	43	amplitude	amplitude	NOUN
fis-1465	117	44	multiaxial	multiaxial	ADJ
fis-1465	117	45	fatigue	fatigue	NOUN
fis-1465	117	46	life	life	NOUN
fis-1465	117	47	prediction	prediction	NOUN
fis-1465	117	48	method	method	NOUN
fis-1465	117	49	,	,	PUNCT
fis-1465	117	50	in	in	ADP
fis-1465	117	51	:	:	PUNCT
fis-1465	117	52	k.f	k.f	PROPN
fis-1465	117	53	.	.	PROPN
fis-1465	117	54	kussmaul	kussmaul	PROPN
fis-1465	117	55	,	,	PUNCT
fis-1465	117	56	d.l	d.l	PROPN
fis-1465	117	57	.	.	PROPN
fis-1465	117	58	mcdiarmid	mcdiarmid	PROPN
fis-1465	117	59	,	,	PUNCT
fis-1465	117	60	d.f	d.f	PROPN
fis-1465	117	61	.	.	PROPN
fis-1465	117	62	socie	socie	PROPN
fis-1465	117	63	(	(	PUNCT
fis-1465	117	64	eds	ed	NOUN
fis-1465	117	65	.	.	PUNCT
fis-1465	117	66	)	)	PUNCT
fis-1465	117	67	,	,	PUNCT
fis-1465	117	68	fatigue	fatigue	NOUN
fis-1465	117	69	under	under	ADP
fis-1465	117	70	biaxial	biaxial	ADJ
fis-1465	117	71	and	and	CCONJ
fis-1465	117	72	multiaxial	multiaxial	ADJ
fis-1465	117	73	loading	loading	NOUN
fis-1465	117	74	,	,	PUNCT
fis-1465	117	75	esis	esis	NOUN
fis-1465	117	76	publication	publication	NOUN
fis-1465	117	77	10	10	NUM
fis-1465	117	78	,	,	PUNCT
fis-1465	117	79	london	london	PROPN
fis-1465	117	80	,	,	PUNCT
fis-1465	117	81	(	(	PUNCT
fis-1465	117	82	1991	1991	NUM
fis-1465	117	83	)	)	PUNCT
fis-1465	117	84	3551	3551	NUM
fis-1465	117	85	.	.	PUNCT
fis-1465	118	1	[	[	X
fis-1465	118	2	7	7	NUM
fis-1465	118	3	]	]	PUNCT
fis-1465	118	4	pitoiset	pitoiset	NOUN
fis-1465	118	5	,	,	PUNCT
fis-1465	118	6	x.	x.	NOUN
fis-1465	118	7	,	,	PUNCT
fis-1465	118	8	preumont	preumont	NOUN
fis-1465	118	9	,	,	PUNCT
fis-1465	118	10	a.	a.	NOUN
fis-1465	118	11	,	,	PUNCT
fis-1465	118	12	spectral	spectral	ADJ
fis-1465	118	13	methods	method	NOUN
fis-1465	118	14	for	for	ADP
fis-1465	118	15	multiaxial	multiaxial	ADJ
fis-1465	118	16	random	random	ADJ
fis-1465	118	17	fatigue	fatigue	NOUN
fis-1465	118	18	analysis	analysis	NOUN
fis-1465	118	19	of	of	ADP
fis-1465	118	20	metallic	metallic	ADJ
fis-1465	118	21	structures	structure	NOUN
fis-1465	118	22	,	,	PUNCT
fis-1465	118	23	int	int	NOUN
fis-1465	118	24	.	.	PUNCT
fis-1465	119	1	j.	j.	PROPN
fis-1465	119	2	fatigue	fatigue	PROPN
fis-1465	119	3	,	,	PUNCT
fis-1465	119	4	22	22	NUM
fis-1465	119	5	(	(	PUNCT
fis-1465	119	6	2000	2000	NUM
fis-1465	119	7	)	)	PUNCT
fis-1465	119	8	541–550	541–550	NUM
fis-1465	119	9	.	.	PUNCT
fis-1465	120	1	[	[	X
fis-1465	120	2	8	8	NUM
fis-1465	120	3	]	]	SYM
fis-1465	120	4	lagoda	lagoda	NOUN
fis-1465	120	5	,	,	PUNCT
fis-1465	120	6	t.	t.	PROPN
fis-1465	120	7	,	,	PUNCT
fis-1465	120	8	macha	macha	PROPN
fis-1465	120	9	,	,	PUNCT
fis-1465	120	10	e.	e.	PROPN
fis-1465	120	11	,	,	PUNCT
fis-1465	120	12	nieslony	nieslony	PROPN
fis-1465	120	13	,	,	PUNCT
fis-1465	120	14	a.	a.	NOUN
fis-1465	120	15	,	,	PUNCT
fis-1465	120	16	fatigue	fatigue	NOUN
fis-1465	120	17	life	life	NOUN
fis-1465	120	18	calculation	calculation	NOUN
fis-1465	120	19	by	by	ADP
fis-1465	120	20	means	mean	NOUN
fis-1465	120	21	of	of	ADP
fis-1465	120	22	the	the	DET
fis-1465	120	23	cycle	cycle	NOUN
fis-1465	120	24	counting	counting	NOUN
fis-1465	120	25	and	and	CCONJ
fis-1465	120	26	spectral	spectral	ADJ
fis-1465	120	27	methods	method	NOUN
fis-1465	120	28	under	under	ADP
fis-1465	120	29	multiaxial	multiaxial	ADJ
fis-1465	120	30	random	random	ADJ
fis-1465	120	31	loading	loading	NOUN
fis-1465	120	32	,	,	PUNCT
fis-1465	120	33	fatigue	fatigue	NOUN
fis-1465	120	34	fract	fract	NOUN
fis-1465	120	35	.	.	PUNCT
fis-1465	121	1	engng	engng	PROPN
fis-1465	121	2	mater	mater	PROPN
fis-1465	121	3	.	.	PUNCT
fis-1465	121	4	struct	struct	NOUN
fis-1465	121	5	.	.	PUNCT
fis-1465	121	6	,	,	PUNCT
fis-1465	121	7	28	28	NUM
fis-1465	121	8	(	(	PUNCT
fis-1465	121	9	2005	2005	NUM
fis-1465	121	10	)	)	PUNCT
fis-1465	121	11	409–420	409–420	NUM
fis-1465	121	12	.	.	PUNCT
fis-1465	122	1	[	[	X
fis-1465	122	2	9	9	NUM
fis-1465	122	3	]	]	SYM
fis-1465	122	4	cristofori	cristofori	NOUN
fis-1465	122	5	,	,	PUNCT
fis-1465	122	6	a.	a.	NOUN
fis-1465	122	7	,	,	PUNCT
fis-1465	122	8	benasciutti	benasciutti	PROPN
fis-1465	122	9	,	,	PUNCT
fis-1465	122	10	d.	d.	PROPN
fis-1465	122	11	,	,	PUNCT
fis-1465	122	12	tovo	tovo	PROPN
fis-1465	122	13	,	,	PUNCT
fis-1465	122	14	r.	r.	PROPN
fis-1465	122	15	,	,	PUNCT
fis-1465	122	16	a	a	DET
fis-1465	122	17	stress	stress	NOUN
fis-1465	122	18	invariant	invariant	ADJ
fis-1465	122	19	based	base	VERB
fis-1465	122	20	spectral	spectral	ADJ
fis-1465	122	21	method	method	NOUN
fis-1465	122	22	to	to	PART
fis-1465	122	23	estimate	estimate	VERB
fis-1465	122	24	fatigue	fatigue	NOUN
fis-1465	122	25	life	life	NOUN
fis-1465	122	26	under	under	ADP
fis-1465	122	27	multiaxial	multiaxial	ADJ
fis-1465	122	28	random	random	ADJ
fis-1465	122	29	loading	loading	NOUN
fis-1465	122	30	,	,	PUNCT
fis-1465	122	31	int	int	NOUN
fis-1465	122	32	.	.	PUNCT
fis-1465	123	1	j.	j.	PROPN
fis-1465	123	2	fatigue	fatigue	PROPN
fis-1465	123	3	,	,	PUNCT
fis-1465	123	4	33	33	NUM
fis-1465	123	5	(	(	PUNCT
fis-1465	123	6	2011	2011	NUM
fis-1465	123	7	)	)	PUNCT
fis-1465	123	8	887–899	887–899	NUM
fis-1465	123	9	.	.	PUNCT
fis-1465	124	1	[	[	X
fis-1465	124	2	10	10	NUM
fis-1465	124	3	]	]	X
fis-1465	124	4	carpinteri	carpinteri	NOUN
fis-1465	124	5	,	,	PUNCT
fis-1465	124	6	a.	a.	NOUN
fis-1465	124	7	,	,	PUNCT
fis-1465	124	8	spagnoli	spagnoli	PROPN
fis-1465	124	9	,	,	PUNCT
fis-1465	124	10	a.	a.	NOUN
fis-1465	124	11	,	,	PUNCT
fis-1465	124	12	vantadori	vantadori	PROPN
fis-1465	124	13	,	,	PUNCT
fis-1465	124	14	s.	s.	PROPN
fis-1465	124	15	,	,	PUNCT
fis-1465	124	16	reformulation	reformulation	NOUN
fis-1465	124	17	in	in	ADP
fis-1465	124	18	the	the	DET
fis-1465	124	19	frequency	frequency	NOUN
fis-1465	124	20	domain	domain	NOUN
fis-1465	124	21	of	of	ADP
fis-1465	124	22	a	a	DET
fis-1465	124	23	critical	critical	ADJ
fis-1465	124	24	plane	plane	NOUN
fis-1465	124	25	-	-	PUNCT
fis-1465	124	26	based	base	VERB
fis-1465	124	27	multiaxial	multiaxial	ADJ
fis-1465	124	28	fatigue	fatigue	NOUN
fis-1465	124	29	criterion	criterion	NOUN
fis-1465	124	30	,	,	PUNCT
fis-1465	124	31	int	int	NOUN
fis-1465	124	32	.	.	PUNCT
fis-1465	125	1	j.	j.	PROPN
fis-1465	125	2	fatigue	fatigue	PROPN
fis-1465	125	3	,	,	PUNCT
fis-1465	125	4	67	67	NUM
fis-1465	125	5	(	(	PUNCT
fis-1465	125	6	2014	2014	NUM
fis-1465	125	7	)	)	PUNCT
fis-1465	125	8	55	55	NUM
fis-1465	125	9	-	-	SYM
fis-1465	125	10	61	61	NUM
fis-1465	125	11	.	.	PUNCT
fis-1465	126	1	[	[	X
fis-1465	126	2	11	11	NUM
fis-1465	126	3	]	]	X
fis-1465	126	4	benasciutti	benasciutti	PROPN
fis-1465	126	5	,	,	PUNCT
fis-1465	126	6	d.	d.	PROPN
fis-1465	126	7	,	,	PUNCT
fis-1465	126	8	tovo	tovo	PROPN
fis-1465	126	9	,	,	PUNCT
fis-1465	126	10	r.	r.	PROPN
fis-1465	126	11	,	,	PUNCT
fis-1465	126	12	comparison	comparison	NOUN
fis-1465	126	13	of	of	ADP
fis-1465	126	14	spectral	spectral	ADJ
fis-1465	126	15	methods	method	NOUN
fis-1465	126	16	for	for	ADP
fis-1465	126	17	fatigue	fatigue	NOUN
fis-1465	126	18	analysis	analysis	NOUN
fis-1465	126	19	in	in	ADP
fis-1465	126	20	broad	broad	ADJ
fis-1465	126	21	-	-	PUNCT
fis-1465	126	22	band	band	NOUN
fis-1465	126	23	gaussian	gaussian	ADJ
fis-1465	126	24	random	random	ADJ
fis-1465	126	25	processes	process	NOUN
fis-1465	126	26	,	,	PUNCT
fis-1465	126	27	probab	probab	PROPN
fis-1465	126	28	.	.	PUNCT
fis-1465	127	1	eng	eng	PROPN
fis-1465	127	2	.	.	PROPN
fis-1465	127	3	mech	mech	PROPN
fis-1465	127	4	.	.	PROPN
fis-1465	127	5	,	,	PUNCT
fis-1465	127	6	21	21	NUM
fis-1465	127	7	(	(	PUNCT
fis-1465	127	8	2006	2006	NUM
fis-1465	127	9	)	)	PUNCT
fis-1465	127	10	287	287	NUM
fis-1465	127	11	-	-	SYM
fis-1465	127	12	299	299	NUM
fis-1465	127	13	.	.	PUNCT
fis-1465	128	1	[	[	X
fis-1465	128	2	12	12	NUM
fis-1465	128	3	]	]	PUNCT
fis-1465	128	4	achtelik	achtelik	PROPN
fis-1465	128	5	,	,	PUNCT
fis-1465	128	6	h.	h.	PROPN
fis-1465	128	7	,	,	PUNCT
fis-1465	128	8	bedkowski	bedkowski	PROPN
fis-1465	128	9	,	,	PUNCT
fis-1465	128	10	w.	w.	PROPN
fis-1465	128	11	,	,	PUNCT
fis-1465	128	12	grzelak	grzelak	PROPN
fis-1465	128	13	,	,	PUNCT
fis-1465	128	14	j.	j.	PROPN
fis-1465	128	15	,	,	PUNCT
fis-1465	128	16	macha	macha	PROPN
fis-1465	128	17	,	,	PUNCT
fis-1465	128	18	e.	e.	PROPN
fis-1465	128	19	,	,	PUNCT
fis-1465	128	20	fatigue	fatigue	NOUN
fis-1465	128	21	life	life	NOUN
fis-1465	128	22	of	of	ADP
fis-1465	128	23	10hnap	10hnap	X
fis-1465	128	24	steel	steel	NOUN
fis-1465	128	25	under	under	ADP
fis-1465	128	26	synchronous	synchronous	ADJ
fis-1465	128	27	random	random	ADJ
fis-1465	128	28	bending	bending	NOUN
fis-1465	128	29	and	and	CCONJ
fis-1465	128	30	torsion	torsion	NOUN
fis-1465	128	31	,	,	PUNCT
fis-1465	128	32	in	in	ADP
fis-1465	128	33	:	:	PUNCT
fis-1465	128	34	proceedings	proceeding	NOUN
fis-1465	128	35	4th	4th	ADJ
fis-1465	128	36	int	int	NOUN
fis-1465	128	37	.	.	PUNCT
fis-1465	129	1	conference	conference	NOUN
fis-1465	129	2	on	on	ADP
fis-1465	129	3	biaxial/	biaxial/	NUM
fis-1465	129	4	multiaxial	multiaxial	ADJ
fis-1465	129	5	fatigue	fatigue	NOUN
fis-1465	129	6	,	,	PUNCT
fis-1465	129	7	esis	esis	NOUN
fis-1465	129	8	publication	publication	NOUN
fis-1465	129	9	,	,	PUNCT
fis-1465	129	10	paris	paris	PROPN
fis-1465	129	11	,	,	PUNCT
fis-1465	129	12	(	(	PUNCT
fis-1465	129	13	1994	1994	NUM
fis-1465	129	14	)	)	PUNCT
fis-1465	129	15	421	421	NUM
fis-1465	129	16	-	-	SYM
fis-1465	129	17	434	434	NUM
fis-1465	129	18	.	.	PUNCT
fis-1465	130	1	[	[	X
fis-1465	130	2	13	13	NUM
fis-1465	130	3	]	]	PUNCT
fis-1465	130	4	pitoiset	pitoiset	NOUN
fis-1465	130	5	,	,	PUNCT
fis-1465	130	6	x.	x.	NOUN
fis-1465	130	7	,	,	PUNCT
fis-1465	130	8	rychlik	rychlik	PROPN
fis-1465	130	9	,	,	PUNCT
fis-1465	130	10	i.	i.	NOUN
fis-1465	130	11	,	,	PUNCT
fis-1465	130	12	preumont	preumont	NOUN
fis-1465	130	13	,	,	PUNCT
fis-1465	130	14	a.	a.	NOUN
fis-1465	130	15	,	,	PUNCT
fis-1465	130	16	spectral	spectral	ADJ
fis-1465	130	17	methods	method	NOUN
fis-1465	130	18	to	to	PART
fis-1465	130	19	estimate	estimate	VERB
fis-1465	130	20	local	local	ADJ
fis-1465	130	21	multiaxialfatigue	multiaxialfatigue	NOUN
fis-1465	130	22	failure	failure	NOUN
fis-1465	130	23	for	for	ADP
fis-1465	130	24	structures	structure	NOUN
fis-1465	130	25	undergoing	undergo	VERB
fis-1465	130	26	random	random	ADJ
fis-1465	130	27	vibrations	vibration	NOUN
fis-1465	130	28	,	,	PUNCT
fis-1465	130	29	fatigue	fatigue	NOUN
fis-1465	130	30	fract	fract	NOUN
fis-1465	130	31	.	.	PUNCT
fis-1465	131	1	engng	engng	PROPN
fis-1465	131	2	.	.	PUNCT
fis-1465	132	1	mater	mater	NOUN
fis-1465	132	2	.	.	PUNCT
fis-1465	132	3	struct	struct	NOUN
fis-1465	132	4	.	.	PUNCT
fis-1465	132	5	,	,	PUNCT
fis-1465	132	6	24	24	NUM
fis-1465	132	7	(	(	PUNCT
fis-1465	132	8	2001	2001	NUM
fis-1465	132	9	)	)	PUNCT
fis-1465	132	10	715	715	NUM
fis-1465	132	11	-	-	SYM
fis-1465	132	12	727	727	NUM
fis-1465	132	13	.	.	PUNCT
fis-1465	133	1	[	[	X
fis-1465	133	2	14	14	NUM
fis-1465	133	3	]	]	X
fis-1465	133	4	davenport	davenport	PROPN
fis-1465	133	5	,	,	PUNCT
fis-1465	133	6	a.g	a.g	PROPN
fis-1465	133	7	.	.	PROPN
fis-1465	133	8	,	,	PUNCT
fis-1465	133	9	note	note	VERB
fis-1465	133	10	on	on	ADP
fis-1465	133	11	the	the	DET
fis-1465	133	12	distribution	distribution	NOUN
fis-1465	133	13	of	of	ADP
fis-1465	133	14	the	the	DET
fis-1465	133	15	largest	large	ADJ
fis-1465	133	16	value	value	NOUN
fis-1465	133	17	of	of	ADP
fis-1465	133	18	a	a	DET
fis-1465	133	19	random	random	ADJ
fis-1465	133	20	function	function	NOUN
fis-1465	133	21	with	with	ADP
fis-1465	133	22	application	application	NOUN
fis-1465	133	23	to	to	ADP
fis-1465	133	24	gust	gust	NOUN
fis-1465	133	25	loading	loading	NOUN
fis-1465	133	26	,	,	PUNCT
fis-1465	133	27	in	in	ADP
fis-1465	133	28	:	:	PUNCT
fis-1465	133	29	proceedings	proceeding	NOUN
fis-1465	133	30	institution	institution	NOUN
fis-1465	133	31	of	of	ADP
fis-1465	133	32	civil	civil	ADJ
fis-1465	133	33	engineers	engineer	NOUN
fis-1465	133	34	,	,	PUNCT
fis-1465	133	35	28	28	NUM
fis-1465	133	36	(	(	PUNCT
fis-1465	133	37	1964	1964	NUM
fis-1465	133	38	)	)	PUNCT
fis-1465	133	39	187	187	NUM
fis-1465	133	40	-	-	SYM
fis-1465	133	41	196	196	NUM
fis-1465	133	42	.	.	PUNCT
fis-1465	134	1	[	[	X
fis-1465	134	2	15	15	NUM
fis-1465	134	3	]	]	PUNCT
fis-1465	134	4	anthes	anthe	NOUN
fis-1465	134	5	,	,	PUNCT
fis-1465	134	6	r.j	r.j	PROPN
fis-1465	134	7	.	.	PROPN
fis-1465	134	8	,	,	PUNCT
fis-1465	134	9	modified	modify	VERB
fis-1465	134	10	rainflow	rainflow	NOUN
fis-1465	134	11	counting	counting	NOUN
fis-1465	134	12	keeping	keep	VERB
fis-1465	134	13	the	the	DET
fis-1465	134	14	load	load	NOUN
fis-1465	134	15	sequence	sequence	NOUN
fis-1465	134	16	,	,	PUNCT
fis-1465	134	17	int	int	NOUN
fis-1465	134	18	.	.	PUNCT
fis-1465	135	1	j.	j.	PROPN
fis-1465	135	2	fatigue	fatigue	PROPN
fis-1465	135	3	,	,	PUNCT
fis-1465	135	4	19	19	NUM
fis-1465	135	5	(	(	PUNCT
fis-1465	135	6	1997	1997	NUM
fis-1465	135	7	)	)	PUNCT
fis-1465	135	8	529	529	NUM
fis-1465	135	9	-	-	SYM
fis-1465	135	10	535	535	NUM
fis-1465	135	11	.	.	PUNCT