id	sid	tid	token	lemma	pos
fis-2233	1	1	microsoft	microsoft	PROPN
fis-2233	1	2	word	word	NOUN
fis-2233	1	3	ecf22_206	ecf22_206	PROPN
fis-2233	1	4	as	as	ADP
fis-2233	1	5	d.	d.	PROPN
fis-2233	1	6	benasciutti	benasciutti	PROPN
fis-2233	1	7	et	et	PROPN
fis-2233	1	8	alii	alii	PROPN
fis-2233	1	9	,	,	PUNCT
fis-2233	1	10	frattura	frattura	PROPN
fis-2233	1	11	ed	ed	PROPN
fis-2233	1	12	integrità	integrità	PROPN
fis-2233	1	13	strutturale	strutturale	PROPN
fis-2233	1	14	,	,	PUNCT
fis-2233	1	15	47	47	NUM
fis-2233	1	16	(	(	PUNCT
fis-2233	1	17	2019	2019	NUM
fis-2233	1	18	)	)	PUNCT
fis-2233	1	19	348	348	NUM
fis-2233	1	20	-	-	SYM
fis-2233	1	21	366	366	NUM
fis-2233	1	22	;	;	PUNCT
fis-2233	1	23	doi	doi	NOUN
fis-2233	1	24	:	:	PUNCT
fis-2233	1	25	10.3221	10.3221	NUM
fis-2233	1	26	/	/	SYM
fis-2233	1	27	igf	igf	PROPN
fis-2233	1	28	-	-	ADJ
fis-2233	1	29	esis.47.26	esis.47.26	ADJ
fis-2233	1	30	348	348	NUM
fis-2233	1	31	the	the	DET
fis-2233	1	32	“	"	PUNCT
fis-2233	1	33	projection	projection	NOUN
fis-2233	1	34	-	-	PUNCT
fis-2233	1	35	by	by	ADP
fis-2233	1	36	-	-	PUNCT
fis-2233	1	37	projection	projection	NOUN
fis-2233	1	38	”	"	PUNCT
fis-2233	1	39	(	(	PUNCT
fis-2233	1	40	pbp	pbp	NOUN
fis-2233	1	41	)	)	PUNCT
fis-2233	1	42	criterion	criterion	NOUN
fis-2233	1	43	for	for	ADP
fis-2233	1	44	multiaxial	multiaxial	ADJ
fis-2233	1	45	random	random	ADJ
fis-2233	1	46	fatigue	fatigue	NOUN
fis-2233	1	47	loadings	loading	NOUN
fis-2233	1	48	:	:	PUNCT
fis-2233	1	49	guidelines	guideline	NOUN
fis-2233	1	50	to	to	ADP
fis-2233	1	51	practical	practical	ADJ
fis-2233	1	52	implementation	implementation	NOUN
fis-2233	1	53	d.	d.	PROPN
fis-2233	1	54	benasciutti	benasciutti	PROPN
fis-2233	1	55	,	,	PUNCT
fis-2233	1	56	d.	d.	PROPN
fis-2233	1	57	zanellati	zanellati	PROPN
fis-2233	1	58	,	,	PUNCT
fis-2233	1	59	a.	a.	PROPN
fis-2233	1	60	cristofori	cristofori	PROPN
fis-2233	1	61	university	university	PROPN
fis-2233	1	62	of	of	ADP
fis-2233	1	63	ferrara	ferrara	NOUN
fis-2233	1	64	,	,	PUNCT
fis-2233	1	65	department	department	NOUN
fis-2233	1	66	of	of	ADP
fis-2233	1	67	engineering	engineering	NOUN
fis-2233	1	68	,	,	PUNCT
fis-2233	1	69	via	via	ADP
fis-2233	1	70	saragat	saragat	ADJ
fis-2233	1	71	1	1	NUM
fis-2233	1	72	,	,	PUNCT
fis-2233	1	73	44122	44122	NUM
fis-2233	1	74	,	,	PUNCT
fis-2233	1	75	ferrara	ferrara	NOUN
fis-2233	1	76	,	,	PUNCT
fis-2233	1	77	italy	italy	PROPN
fis-2233	1	78	denis.benasciutti@unife.it	denis.benasciutti@unife.it	NOUN
fis-2233	1	79	,	,	PUNCT
fis-2233	1	80	davide.zanellati@unife.it	davide.zanellati@unife.it	NOUN
fis-2233	1	81	,	,	PUNCT
fis-2233	1	82	alessandro.cristofori@unife.it	alessandro.cristofori@unife.it	NOUN
fis-2233	1	83	abstract	abstract	NOUN
fis-2233	1	84	.	.	PUNCT
fis-2233	2	1	this	this	DET
fis-2233	2	2	work	work	NOUN
fis-2233	2	3	is	be	AUX
fis-2233	2	4	motivated	motivate	VERB
fis-2233	2	5	by	by	ADP
fis-2233	2	6	the	the	DET
fis-2233	2	7	increasing	increase	VERB
fis-2233	2	8	interest	interest	NOUN
fis-2233	2	9	towards	towards	ADP
fis-2233	2	10	the	the	DET
fis-2233	2	11	application	application	NOUN
fis-2233	2	12	of	of	ADP
fis-2233	2	13	the	the	DET
fis-2233	2	14	“	"	PUNCT
fis-2233	2	15	projection	projection	NOUN
fis-2233	2	16	-	-	PUNCT
fis-2233	2	17	by	by	ADP
fis-2233	2	18	-	-	PUNCT
fis-2233	2	19	projection	projection	NOUN
fis-2233	2	20	”	"	PUNCT
fis-2233	2	21	(	(	PUNCT
fis-2233	2	22	pbp	pbp	NOUN
fis-2233	2	23	)	)	PUNCT
fis-2233	2	24	spectral	spectral	ADJ
fis-2233	2	25	method	method	NOUN
fis-2233	2	26	in	in	ADP
fis-2233	2	27	finite	finite	ADJ
fis-2233	2	28	element	element	NOUN
fis-2233	2	29	(	(	PUNCT
fis-2233	2	30	fe	fe	NOUN
fis-2233	2	31	)	)	PUNCT
fis-2233	2	32	analysis	analysis	NOUN
fis-2233	2	33	of	of	ADP
fis-2233	2	34	components	component	NOUN
fis-2233	2	35	under	under	ADP
fis-2233	2	36	multiaxial	multiaxial	ADJ
fis-2233	2	37	random	random	ADJ
fis-2233	2	38	loadings	loading	NOUN
fis-2233	2	39	.	.	PUNCT
fis-2233	3	1	to	to	PART
fis-2233	3	2	help	help	VERB
fis-2233	3	3	users	user	NOUN
fis-2233	3	4	and	and	CCONJ
fis-2233	3	5	engineers	engineer	NOUN
fis-2233	3	6	in	in	ADP
fis-2233	3	7	developing	develop	VERB
fis-2233	3	8	their	their	PRON
fis-2233	3	9	software	software	NOUN
fis-2233	3	10	routines	routine	NOUN
fis-2233	3	11	,	,	PUNCT
fis-2233	3	12	this	this	DET
fis-2233	3	13	paper	paper	NOUN
fis-2233	3	14	presents	present	VERB
fis-2233	3	15	a	a	DET
fis-2233	3	16	set	set	NOUN
fis-2233	3	17	of	of	ADP
fis-2233	3	18	numerical	numerical	ADJ
fis-2233	3	19	case	case	NOUN
fis-2233	3	20	studies	study	NOUN
fis-2233	3	21	to	to	PART
fis-2233	3	22	be	be	AUX
fis-2233	3	23	used	use	VERB
fis-2233	3	24	as	as	ADP
fis-2233	3	25	a	a	DET
fis-2233	3	26	guideline	guideline	NOUN
fis-2233	3	27	to	to	PART
fis-2233	3	28	implement	implement	VERB
fis-2233	3	29	the	the	DET
fis-2233	3	30	pbp	pbp	NOUN
fis-2233	3	31	method	method	NOUN
fis-2233	3	32	.	.	PUNCT
fis-2233	4	1	the	the	DET
fis-2233	4	2	sequence	sequence	NOUN
fis-2233	4	3	of	of	ADP
fis-2233	4	4	analysis	analysis	NOUN
fis-2233	4	5	steps	step	NOUN
fis-2233	4	6	in	in	ADP
fis-2233	4	7	the	the	DET
fis-2233	4	8	method	method	NOUN
fis-2233	4	9	are	be	AUX
fis-2233	4	10	first	first	ADV
fis-2233	4	11	summarized	summarize	VERB
fis-2233	4	12	and	and	CCONJ
fis-2233	4	13	explained	explain	VERB
fis-2233	4	14	.	.	PUNCT
fis-2233	5	1	a	a	DET
fis-2233	5	2	first	first	PROPN
fis-2233	5	3	numerical	numerical	ADJ
fis-2233	5	4	example	example	NOUN
fis-2233	5	5	is	be	AUX
fis-2233	5	6	then	then	ADV
fis-2233	5	7	illustrated	illustrate	VERB
fis-2233	5	8	,	,	PUNCT
fis-2233	5	9	in	in	ADP
fis-2233	5	10	which	which	PRON
fis-2233	5	11	various	various	ADJ
fis-2233	5	12	types	type	NOUN
fis-2233	5	13	of	of	ADP
fis-2233	5	14	biaxial	biaxial	ADJ
fis-2233	5	15	random	random	ADJ
fis-2233	5	16	stress	stress	NOUN
fis-2233	5	17	are	be	AUX
fis-2233	5	18	applied	apply	VERB
fis-2233	5	19	to	to	ADP
fis-2233	5	20	three	three	NUM
fis-2233	5	21	materials	material	NOUN
fis-2233	5	22	with	with	ADP
fis-2233	5	23	different	different	ADJ
fis-2233	5	24	tension	tension	NOUN
fis-2233	5	25	/	/	SYM
fis-2233	5	26	torsion	torsion	NOUN
fis-2233	5	27	fatigue	fatigue	NOUN
fis-2233	5	28	properties	property	NOUN
fis-2233	5	29	.	.	PUNCT
fis-2233	6	1	results	result	NOUN
fis-2233	6	2	of	of	ADP
fis-2233	6	3	each	each	DET
fis-2233	6	4	analysis	analysis	NOUN
fis-2233	6	5	step	step	NOUN
fis-2233	6	6	are	be	AUX
fis-2233	6	7	displayed	display	VERB
fis-2233	6	8	explicitly	explicitly	ADV
fis-2233	6	9	to	to	PART
fis-2233	6	10	allow	allow	VERB
fis-2233	6	11	a	a	DET
fis-2233	6	12	plain	plain	ADJ
fis-2233	6	13	understanding	understanding	NOUN
fis-2233	6	14	of	of	ADP
fis-2233	6	15	how	how	SCONJ
fis-2233	6	16	the	the	DET
fis-2233	6	17	pbp	pbp	NOUN
fis-2233	6	18	method	method	NOUN
fis-2233	6	19	works	work	VERB
fis-2233	6	20	.	.	PUNCT
fis-2233	7	1	the	the	DET
fis-2233	7	2	examples	example	NOUN
fis-2233	7	3	are	be	AUX
fis-2233	7	4	chosen	choose	VERB
fis-2233	7	5	with	with	ADP
fis-2233	7	6	the	the	DET
fis-2233	7	7	purpose	purpose	NOUN
fis-2233	7	8	to	to	PART
fis-2233	7	9	show	show	VERB
fis-2233	7	10	the	the	DET
fis-2233	7	11	capability	capability	NOUN
fis-2233	7	12	of	of	ADP
fis-2233	7	13	the	the	DET
fis-2233	7	14	method	method	NOUN
fis-2233	7	15	to	to	PART
fis-2233	7	16	take	take	VERB
fis-2233	7	17	into	into	ADP
fis-2233	7	18	account	account	NOUN
fis-2233	7	19	the	the	DET
fis-2233	7	20	effect	effect	NOUN
fis-2233	7	21	of	of	ADP
fis-2233	7	22	correlation	correlation	NOUN
fis-2233	7	23	degree	degree	NOUN
fis-2233	7	24	among	among	ADP
fis-2233	7	25	stress	stress	NOUN
fis-2233	7	26	components	component	NOUN
fis-2233	7	27	,	,	PUNCT
fis-2233	7	28	and	and	CCONJ
fis-2233	7	29	the	the	DET
fis-2233	7	30	relationship	relationship	NOUN
fis-2233	7	31	between	between	ADP
fis-2233	7	32	material	material	NOUN
fis-2233	7	33	and	and	CCONJ
fis-2233	7	34	multiaxial	multiaxial	ADJ
fis-2233	7	35	stress	stress	NOUN
fis-2233	7	36	in	in	ADP
fis-2233	7	37	relation	relation	NOUN
fis-2233	7	38	to	to	ADP
fis-2233	7	39	the	the	DET
fis-2233	7	40	tension	tension	NOUN
fis-2233	7	41	/	/	SYM
fis-2233	7	42	torsion	torsion	NOUN
fis-2233	7	43	fatigue	fatigue	NOUN
fis-2233	7	44	properties	property	NOUN
fis-2233	7	45	.	.	PUNCT
fis-2233	8	1	a	a	DET
fis-2233	8	2	case	case	NOUN
fis-2233	8	3	study	study	NOUN
fis-2233	8	4	is	be	AUX
fis-2233	8	5	finally	finally	ADV
fis-2233	8	6	discussed	discuss	VERB
fis-2233	8	7	,	,	PUNCT
fis-2233	8	8	in	in	ADP
fis-2233	8	9	which	which	PRON
fis-2233	8	10	the	the	DET
fis-2233	8	11	method	method	NOUN
fis-2233	8	12	is	be	AUX
fis-2233	8	13	applied	apply	VERB
fis-2233	8	14	to	to	ADP
fis-2233	8	15	a	a	DET
fis-2233	8	16	fe	fe	ADJ
fis-2233	8	17	structural	structural	ADJ
fis-2233	8	18	durability	durability	NOUN
fis-2233	8	19	analysis	analysis	NOUN
fis-2233	8	20	of	of	ADP
fis-2233	8	21	a	a	DET
fis-2233	8	22	simple	simple	ADJ
fis-2233	8	23	structure	structure	NOUN
fis-2233	8	24	subjected	subject	VERB
fis-2233	8	25	to	to	ADP
fis-2233	8	26	random	random	ADJ
fis-2233	8	27	excitations	excitation	NOUN
fis-2233	8	28	.	.	PUNCT
fis-2233	9	1	the	the	DET
fis-2233	9	2	example	example	NOUN
fis-2233	9	3	describes	describe	VERB
fis-2233	9	4	the	the	DET
fis-2233	9	5	flowchart	flowchart	NOUN
fis-2233	9	6	and	and	CCONJ
fis-2233	9	7	the	the	DET
fis-2233	9	8	program	program	NOUN
fis-2233	9	9	by	by	ADP
fis-2233	9	10	which	which	PRON
fis-2233	9	11	to	to	PART
fis-2233	9	12	implement	implement	VERB
fis-2233	9	13	the	the	DET
fis-2233	9	14	method	method	NOUN
fis-2233	9	15	through	through	ADP
fis-2233	9	16	ansys	ansys	PROPN
fis-2233	9	17	apdl	apdl	PROPN
fis-2233	9	18	software	software	PROPN
fis-2233	9	19	.	.	PUNCT
fis-2233	10	1	this	this	DET
fis-2233	10	2	final	final	ADJ
fis-2233	10	3	example	example	NOUN
fis-2233	10	4	illustrates	illustrate	VERB
fis-2233	10	5	how	how	SCONJ
fis-2233	10	6	the	the	DET
fis-2233	10	7	pbp	pbp	NOUN
fis-2233	10	8	method	method	NOUN
fis-2233	10	9	is	be	AUX
fis-2233	10	10	an	an	DET
fis-2233	10	11	efficient	efficient	ADJ
fis-2233	10	12	tool	tool	NOUN
fis-2233	10	13	to	to	PART
fis-2233	10	14	analyze	analyze	VERB
fis-2233	10	15	multiaxial	multiaxial	ADJ
fis-2233	10	16	random	random	ADJ
fis-2233	10	17	stresses	stress	NOUN
fis-2233	10	18	in	in	ADP
fis-2233	10	19	complex	complex	ADJ
fis-2233	10	20	structures	structure	NOUN
fis-2233	10	21	.	.	PUNCT
fis-2233	11	1	keywords	keyword	NOUN
fis-2233	11	2	.	.	PUNCT
fis-2233	12	1	multiaxial	multiaxial	ADJ
fis-2233	12	2	fatigue	fatigue	NOUN
fis-2233	12	3	;	;	PUNCT
fis-2233	12	4	random	random	ADJ
fis-2233	12	5	stress	stress	NOUN
fis-2233	12	6	;	;	PUNCT
fis-2233	12	7	frequency	frequency	NOUN
fis-2233	12	8	-	-	PUNCT
fis-2233	12	9	domain	domain	NOUN
fis-2233	12	10	approach	approach	NOUN
fis-2233	12	11	;	;	PUNCT
fis-2233	12	12	power	power	NOUN
fis-2233	12	13	spectral	spectral	ADJ
fis-2233	12	14	density	density	NOUN
fis-2233	12	15	(	(	PUNCT
fis-2233	12	16	psd	psd	PROPN
fis-2233	12	17	)	)	PUNCT
fis-2233	12	18	;	;	PUNCT
fis-2233	12	19	finite	finite	PROPN
fis-2233	12	20	element	element	NOUN
fis-2233	12	21	method	method	NOUN
fis-2233	12	22	.	.	PUNCT
fis-2233	13	1	citation	citation	NOUN
fis-2233	13	2	:	:	PUNCT
fis-2233	14	1	benasciutti	benasciutti	PROPN
fis-2233	14	2	,	,	PUNCT
fis-2233	14	3	d.	d.	PROPN
fis-2233	14	4	zanellati	zanellati	PROPN
fis-2233	14	5	,	,	PUNCT
fis-2233	14	6	d.	d.	PROPN
fis-2233	14	7	,	,	PUNCT
fis-2233	14	8	cristofori	cristofori	PROPN
fis-2233	14	9	,	,	PUNCT
fis-2233	14	10	a.	a.	PROPN
fis-2233	14	11	,	,	PUNCT
fis-2233	14	12	the	the	DET
fis-2233	14	13	“	"	PUNCT
fis-2233	14	14	projection	projection	NOUN
fis-2233	14	15	-	-	PUNCT
fis-2233	14	16	by	by	ADP
fis-2233	14	17	-	-	PUNCT
fis-2233	14	18	projection	projection	NOUN
fis-2233	14	19	”	"	PUNCT
fis-2233	14	20	(	(	PUNCT
fis-2233	14	21	pbp	pbp	NOUN
fis-2233	14	22	)	)	PUNCT
fis-2233	14	23	criterion	criterion	NOUN
fis-2233	14	24	for	for	ADP
fis-2233	14	25	multiaxial	multiaxial	ADJ
fis-2233	14	26	random	random	ADJ
fis-2233	14	27	fatigue	fatigue	NOUN
fis-2233	14	28	loadings	loading	NOUN
fis-2233	14	29	:	:	PUNCT
fis-2233	14	30	guidelines	guideline	NOUN
fis-2233	14	31	to	to	ADP
fis-2233	14	32	practical	practical	ADJ
fis-2233	14	33	implementation	implementation	NOUN
fis-2233	14	34	,	,	PUNCT
fis-2233	14	35	frattura	frattura	PROPN
fis-2233	14	36	ed	ed	PROPN
fis-2233	14	37	integrità	integrità	PROPN
fis-2233	14	38	strutturale	strutturale	PROPN
fis-2233	14	39	,	,	PUNCT
fis-2233	14	40	47	47	NUM
fis-2233	14	41	(	(	PUNCT
fis-2233	14	42	2019	2019	NUM
fis-2233	14	43	)	)	PUNCT
fis-2233	14	44	348	348	NUM
fis-2233	14	45	-	-	SYM
fis-2233	14	46	366	366	NUM
fis-2233	14	47	.	.	PUNCT
fis-2233	14	48	received	receive	VERB
fis-2233	14	49	:	:	PUNCT
fis-2233	14	50	29.10.2018	29.10.2018	NUM
fis-2233	14	51	accepted	accept	VERB
fis-2233	14	52	:	:	PUNCT
fis-2233	14	53	30.11.2018	30.11.2018	NUM
fis-2233	14	54	published	publish	VERB
fis-2233	14	55	:	:	PUNCT
fis-2233	14	56	01.01.2019	01.01.2019	X
fis-2233	15	1	copyright	copyright	NOUN
fis-2233	15	2	:	:	PUNCT
fis-2233	15	3	©	©	PROPN
fis-2233	15	4	2019	2019	NUM
fis-2233	15	5	this	this	PRON
fis-2233	15	6	is	be	AUX
fis-2233	15	7	an	an	DET
fis-2233	15	8	open	open	ADJ
fis-2233	15	9	access	access	NOUN
fis-2233	15	10	article	article	NOUN
fis-2233	15	11	under	under	ADP
fis-2233	15	12	the	the	DET
fis-2233	15	13	terms	term	NOUN
fis-2233	15	14	of	of	ADP
fis-2233	15	15	the	the	DET
fis-2233	15	16	cc	cc	NOUN
fis-2233	15	17	-	-	PUNCT
fis-2233	15	18	by	by	ADP
fis-2233	15	19	4.0	4.0	NUM
fis-2233	15	20	,	,	PUNCT
fis-2233	15	21	which	which	PRON
fis-2233	15	22	permits	permit	VERB
fis-2233	15	23	unrestricted	unrestricted	ADJ
fis-2233	15	24	use	use	NOUN
fis-2233	15	25	,	,	PUNCT
fis-2233	15	26	distribution	distribution	NOUN
fis-2233	15	27	,	,	PUNCT
fis-2233	15	28	and	and	CCONJ
fis-2233	15	29	reproduction	reproduction	NOUN
fis-2233	15	30	in	in	ADP
fis-2233	15	31	any	any	DET
fis-2233	15	32	medium	medium	NOUN
fis-2233	15	33	,	,	PUNCT
fis-2233	15	34	provided	provide	VERB
fis-2233	15	35	the	the	DET
fis-2233	15	36	original	original	ADJ
fis-2233	15	37	author	author	NOUN
fis-2233	15	38	and	and	CCONJ
fis-2233	15	39	source	source	NOUN
fis-2233	15	40	are	be	AUX
fis-2233	15	41	credited	credit	VERB
fis-2233	15	42	.	.	PUNCT
fis-2233	16	1	introduction	introduction	NOUN
fis-2233	16	2	t	t	PROPN
fis-2233	16	3	may	may	AUX
fis-2233	16	4	happen	happen	VERB
fis-2233	16	5	that	that	SCONJ
fis-2233	16	6	a	a	DET
fis-2233	16	7	new	new	ADJ
fis-2233	16	8	multiaxial	multiaxial	ADJ
fis-2233	16	9	fatigue	fatigue	NOUN
fis-2233	16	10	criterion	criterion	NOUN
fis-2233	16	11	,	,	PUNCT
fis-2233	16	12	first	first	ADV
fis-2233	16	13	published	publish	VERB
fis-2233	16	14	as	as	ADP
fis-2233	16	15	an	an	DET
fis-2233	16	16	article	article	NOUN
fis-2233	16	17	in	in	ADP
fis-2233	16	18	a	a	DET
fis-2233	16	19	scientific	scientific	ADJ
fis-2233	16	20	journal	journal	NOUN
fis-2233	16	21	,	,	PUNCT
fis-2233	16	22	gains	gain	VERB
fis-2233	16	23	an	an	DET
fis-2233	16	24	increasing	increase	VERB
fis-2233	16	25	interest	interest	NOUN
fis-2233	16	26	also	also	ADV
fis-2233	16	27	in	in	ADP
fis-2233	16	28	the	the	DET
fis-2233	16	29	technical	technical	ADJ
fis-2233	16	30	community	community	NOUN
fis-2233	16	31	,	,	PUNCT
fis-2233	16	32	among	among	ADP
fis-2233	16	33	engineers	engineer	NOUN
fis-2233	16	34	or	or	CCONJ
fis-2233	16	35	developers	developer	NOUN
fis-2233	16	36	of	of	ADP
fis-2233	16	37	fatigue	fatigue	NOUN
fis-2233	16	38	-	-	PUNCT
fis-2233	16	39	based	base	VERB
fis-2233	16	40	software	software	NOUN
fis-2233	16	41	.	.	PUNCT
fis-2233	17	1	it	it	PRON
fis-2233	17	2	may	may	AUX
fis-2233	17	3	also	also	ADV
fis-2233	17	4	happen	happen	VERB
fis-2233	17	5	,	,	PUNCT
fis-2233	17	6	though	though	ADV
fis-2233	17	7	,	,	PUNCT
fis-2233	17	8	that	that	SCONJ
fis-2233	17	9	the	the	DET
fis-2233	17	10	scientific	scientific	ADJ
fis-2233	17	11	article	article	NOUN
fis-2233	17	12	(	(	PUNCT
fis-2233	17	13	clearly	clearly	ADV
fis-2233	17	14	more	more	ADV
fis-2233	17	15	focused	focused	ADJ
fis-2233	17	16	in	in	ADP
fis-2233	17	17	explaining	explain	VERB
fis-2233	17	18	the	the	DET
fis-2233	17	19	theory	theory	NOUN
fis-2233	17	20	than	than	ADP
fis-2233	17	21	providing	provide	VERB
fis-2233	17	22	detailed	detailed	ADJ
fis-2233	17	23	results	result	NOUN
fis-2233	17	24	or	or	CCONJ
fis-2233	17	25	case	case	NOUN
fis-2233	17	26	studies	study	NOUN
fis-2233	17	27	)	)	PUNCT
fis-2233	17	28	does	do	AUX
fis-2233	17	29	not	not	PART
fis-2233	17	30	give	give	VERB
fis-2233	17	31	enough	enough	ADJ
fis-2233	17	32	practical	practical	ADJ
fis-2233	17	33	information	information	NOUN
fis-2233	17	34	to	to	PART
fis-2233	17	35	allow	allow	VERB
fis-2233	17	36	users	user	NOUN
fis-2233	17	37	or	or	CCONJ
fis-2233	17	38	engineers	engineer	NOUN
fis-2233	17	39	to	to	PART
fis-2233	17	40	implement	implement	VERB
fis-2233	17	41	correctly	correctly	ADV
fis-2233	17	42	the	the	DET
fis-2233	17	43	criterion	criterion	NOUN
fis-2233	17	44	on	on	ADP
fis-2233	17	45	their	their	PRON
fis-2233	17	46	i	i	PROPN
fis-2233	17	47	http://www.gruppofrattura.it/va/47/2233.mp4	http://www.gruppofrattura.it/va/47/2233.mp4	PROPN
fis-2233	17	48	d.	d.	PROPN
fis-2233	17	49	benasciutti	benasciutti	PROPN
fis-2233	17	50	et	et	PROPN
fis-2233	17	51	alii	alii	PROPN
fis-2233	17	52	,	,	PUNCT
fis-2233	17	53	frattura	frattura	PROPN
fis-2233	17	54	ed	ed	PROPN
fis-2233	17	55	integrità	integrità	PROPN
fis-2233	17	56	strutturale	strutturale	PROPN
fis-2233	17	57	,	,	PUNCT
fis-2233	17	58	47	47	NUM
fis-2233	17	59	(	(	PUNCT
fis-2233	17	60	2019	2019	NUM
fis-2233	17	61	)	)	PUNCT
fis-2233	17	62	348	348	NUM
fis-2233	17	63	-	-	SYM
fis-2233	17	64	366	366	NUM
fis-2233	17	65	;	;	PUNCT
fis-2233	17	66	doi	doi	NOUN
fis-2233	17	67	:	:	PUNCT
fis-2233	17	68	10.3221	10.3221	NUM
fis-2233	17	69	/	/	SYM
fis-2233	17	70	igf	igf	PROPN
fis-2233	17	71	-	-	ADJ
fis-2233	17	72	esis.47.26	esis.47.26	ADJ
fis-2233	17	73	349	349	NUM
fis-2233	17	74	own	own	ADJ
fis-2233	17	75	.	.	PUNCT
fis-2233	18	1	users	user	NOUN
fis-2233	18	2	,	,	PUNCT
fis-2233	18	3	in	in	ADP
fis-2233	18	4	implementing	implement	VERB
fis-2233	18	5	the	the	DET
fis-2233	18	6	criterion	criterion	NOUN
fis-2233	18	7	,	,	PUNCT
fis-2233	18	8	may	may	AUX
fis-2233	18	9	feel	feel	VERB
fis-2233	18	10	not	not	PART
fis-2233	18	11	sure	sure	ADJ
fis-2233	18	12	to	to	PART
fis-2233	18	13	have	have	AUX
fis-2233	18	14	correctly	correctly	ADV
fis-2233	18	15	understood	understand	VERB
fis-2233	18	16	the	the	DET
fis-2233	18	17	basic	basic	ADJ
fis-2233	18	18	principles	principle	NOUN
fis-2233	18	19	of	of	ADP
fis-2233	18	20	the	the	DET
fis-2233	18	21	method	method	NOUN
fis-2233	18	22	and	and	CCONJ
fis-2233	18	23	have	have	VERB
fis-2233	18	24	doubts	doubt	NOUN
fis-2233	18	25	that	that	SCONJ
fis-2233	18	26	their	their	PRON
fis-2233	18	27	own	own	ADJ
fis-2233	18	28	programs	program	NOUN
fis-2233	18	29	are	be	AUX
fis-2233	18	30	really	really	ADV
fis-2233	18	31	free	free	ADJ
fis-2233	18	32	from	from	ADP
fis-2233	18	33	errors	error	NOUN
fis-2233	18	34	and/or	and/or	CCONJ
fis-2233	18	35	misinterpretations	misinterpretation	NOUN
fis-2233	18	36	,	,	PUNCT
fis-2233	18	37	and	and	CCONJ
fis-2233	18	38	that	that	SCONJ
fis-2233	18	39	they	they	PRON
fis-2233	18	40	return	return	VERB
fis-2233	18	41	a	a	DET
fis-2233	18	42	output	output	NOUN
fis-2233	18	43	truly	truly	ADV
fis-2233	18	44	correct	correct	ADJ
fis-2233	18	45	.	.	PUNCT
fis-2233	19	1	the	the	DET
fis-2233	19	2	possibility	possibility	NOUN
fis-2233	19	3	to	to	PART
fis-2233	19	4	have	have	AUX
fis-2233	19	5	access	access	NOUN
fis-2233	19	6	to	to	ADP
fis-2233	19	7	detailed	detailed	ADJ
fis-2233	19	8	results	result	NOUN
fis-2233	19	9	for	for	ADP
fis-2233	19	10	a	a	DET
fis-2233	19	11	number	number	NOUN
fis-2233	19	12	of	of	ADP
fis-2233	19	13	simple	simple	ADJ
fis-2233	19	14	case	case	NOUN
fis-2233	19	15	studies	study	NOUN
fis-2233	19	16	,	,	PUNCT
fis-2233	19	17	to	to	PART
fis-2233	19	18	be	be	AUX
fis-2233	19	19	used	use	VERB
fis-2233	19	20	as	as	ADP
fis-2233	19	21	a	a	DET
fis-2233	19	22	reference	reference	NOUN
fis-2233	19	23	,	,	PUNCT
fis-2233	19	24	may	may	AUX
fis-2233	19	25	thus	thus	ADV
fis-2233	19	26	help	help	VERB
fis-2233	19	27	to	to	PART
fis-2233	19	28	solve	solve	VERB
fis-2233	19	29	possible	possible	ADJ
fis-2233	19	30	doubts	doubt	NOUN
fis-2233	19	31	.	.	PUNCT
fis-2233	20	1	the	the	DET
fis-2233	20	2	“	"	PUNCT
fis-2233	20	3	projection	projection	NOUN
fis-2233	20	4	-	-	PUNCT
fis-2233	20	5	by	by	ADP
fis-2233	20	6	-	-	PUNCT
fis-2233	20	7	projection	projection	NOUN
fis-2233	20	8	”	"	PUNCT
fis-2233	20	9	(	(	PUNCT
fis-2233	20	10	pbp	pbp	NOUN
fis-2233	20	11	)	)	PUNCT
fis-2233	20	12	method	method	NOUN
fis-2233	20	13	is	be	AUX
fis-2233	20	14	fatigue	fatigue	NOUN
fis-2233	20	15	criterion	criterion	NOUN
fis-2233	20	16	for	for	ADP
fis-2233	20	17	multiaxial	multiaxial	ADJ
fis-2233	20	18	loadings	loading	NOUN
fis-2233	20	19	.	.	PUNCT
fis-2233	21	1	it	it	PRON
fis-2233	21	2	has	have	AUX
fis-2233	21	3	first	first	ADV
fis-2233	21	4	been	be	AUX
fis-2233	21	5	proposed	propose	VERB
fis-2233	21	6	about	about	ADP
fis-2233	21	7	ten	ten	NUM
fis-2233	21	8	years	year	NOUN
fis-2233	21	9	ago	ago	ADV
fis-2233	21	10	[	[	X
fis-2233	21	11	1,2	1,2	NUM
fis-2233	21	12	]	]	PUNCT
fis-2233	21	13	as	as	ADP
fis-2233	21	14	a	a	DET
fis-2233	21	15	conventional	conventional	ADJ
fis-2233	21	16	time	time	NOUN
fis-2233	21	17	-	-	PUNCT
fis-2233	21	18	domain	domain	NOUN
fis-2233	21	19	criterion	criterion	NOUN
fis-2233	21	20	,	,	PUNCT
fis-2233	21	21	in	in	ADP
fis-2233	21	22	which	which	PRON
fis-2233	21	23	stress	stress	NOUN
fis-2233	21	24	time	time	NOUN
fis-2233	21	25	-	-	PUNCT
fis-2233	21	26	histories	history	NOUN
fis-2233	21	27	are	be	AUX
fis-2233	21	28	processed	process	VERB
fis-2233	21	29	directly	directly	ADV
fis-2233	21	30	.	.	PUNCT
fis-2233	22	1	it	it	PRON
fis-2233	22	2	was	be	AUX
fis-2233	22	3	then	then	ADV
fis-2233	22	4	reformulated	reformulate	VERB
fis-2233	22	5	in	in	ADP
fis-2233	22	6	the	the	DET
fis-2233	22	7	frequency	frequency	NOUN
fis-2233	22	8	-	-	PUNCT
fis-2233	22	9	domain	domain	NOUN
fis-2233	22	10	to	to	PART
fis-2233	22	11	address	address	VERB
fis-2233	22	12	multiaxial	multiaxial	ADJ
fis-2233	22	13	random	random	ADJ
fis-2233	22	14	loadings	loading	NOUN
fis-2233	23	1	[	[	X
fis-2233	23	2	3,4	3,4	NUM
fis-2233	23	3	]	]	PUNCT
fis-2233	23	4	.	.	PUNCT
fis-2233	24	1	indeed	indeed	ADV
fis-2233	24	2	,	,	PUNCT
fis-2233	24	3	like	like	ADP
fis-2233	24	4	for	for	ADP
fis-2233	24	5	other	other	ADJ
fis-2233	24	6	multiaxial	multiaxial	ADJ
fis-2233	24	7	criteria	criterion	NOUN
fis-2233	24	8	,	,	PUNCT
fis-2233	24	9	a	a	DET
fis-2233	24	10	time	time	NOUN
fis-2233	24	11	-	-	PUNCT
fis-2233	24	12	domain	domain	NOUN
fis-2233	24	13	definition	definition	NOUN
fis-2233	24	14	may	may	AUX
fis-2233	24	15	become	become	VERB
fis-2233	24	16	computationally	computationally	ADV
fis-2233	24	17	time	time	NOUN
fis-2233	24	18	-	-	PUNCT
fis-2233	24	19	consuming	consume	VERB
fis-2233	24	20	(	(	PUNCT
fis-2233	24	21	and	and	CCONJ
fis-2233	24	22	thus	thus	ADV
fis-2233	24	23	impractical	impractical	ADJ
fis-2233	24	24	)	)	PUNCT
fis-2233	24	25	,	,	PUNCT
fis-2233	24	26	for	for	ADP
fis-2233	24	27	example	example	NOUN
fis-2233	24	28	when	when	SCONJ
fis-2233	24	29	considering	consider	VERB
fis-2233	24	30	medium	medium	ADJ
fis-2233	24	31	-	-	PUNCT
fis-2233	24	32	to	to	ADP
fis-2233	24	33	-	-	PUNCT
fis-2233	24	34	large	large	ADJ
fis-2233	24	35	finite	finite	ADJ
fis-2233	24	36	element	element	NOUN
fis-2233	24	37	models	model	NOUN
fis-2233	24	38	,	,	PUNCT
fis-2233	24	39	in	in	ADP
fis-2233	24	40	which	which	PRON
fis-2233	24	41	it	it	PRON
fis-2233	24	42	is	be	AUX
fis-2233	24	43	required	require	VERB
fis-2233	24	44	to	to	PART
fis-2233	24	45	process	process	VERB
fis-2233	24	46	long	long	ADV
fis-2233	24	47	digitalized	digitalize	VERB
fis-2233	24	48	multiaxial	multiaxial	ADJ
fis-2233	24	49	timehistories	timehistorie	NOUN
fis-2233	24	50	in	in	ADP
fis-2233	24	51	hundreds	hundred	NOUN
fis-2233	24	52	or	or	CCONJ
fis-2233	24	53	thousands	thousand	NOUN
fis-2233	24	54	of	of	ADP
fis-2233	24	55	nodes	node	NOUN
fis-2233	24	56	[	[	X
fis-2233	24	57	5	5	NUM
fis-2233	24	58	]	]	PUNCT
fis-2233	24	59	.	.	PUNCT
fis-2233	25	1	this	this	PRON
fis-2233	25	2	is	be	AUX
fis-2233	25	3	perhaps	perhaps	ADV
fis-2233	25	4	the	the	DET
fis-2233	25	5	main	main	ADJ
fis-2233	25	6	limitation	limitation	NOUN
fis-2233	25	7	(	(	PUNCT
fis-2233	25	8	along	along	ADP
fis-2233	25	9	with	with	ADP
fis-2233	25	10	others	other	NOUN
fis-2233	25	11	theoretical	theoretical	ADJ
fis-2233	25	12	issues	issue	NOUN
fis-2233	25	13	here	here	ADV
fis-2233	25	14	not	not	PART
fis-2233	25	15	mentioned	mention	VERB
fis-2233	25	16	)	)	PUNCT
fis-2233	25	17	that	that	PRON
fis-2233	25	18	motivated	motivate	VERB
fis-2233	25	19	the	the	DET
fis-2233	25	20	researchers	researcher	NOUN
fis-2233	25	21	’	'	PUNCT
fis-2233	25	22	effort	effort	NOUN
fis-2233	25	23	of	of	ADP
fis-2233	25	24	reformulating	reformulate	VERB
fis-2233	25	25	multiaxial	multiaxial	ADJ
fis-2233	25	26	criteria	criterion	NOUN
fis-2233	25	27	(	(	PUNCT
fis-2233	25	28	pbp	pbp	NOUN
fis-2233	25	29	included	include	VERB
fis-2233	25	30	)	)	PUNCT
fis-2233	25	31	from	from	ADP
fis-2233	25	32	timeto	timeto	NOUN
fis-2233	25	33	frequency	frequency	NOUN
fis-2233	25	34	-	-	PUNCT
fis-2233	25	35	domain	domain	NOUN
fis-2233	25	36	.	.	PUNCT
fis-2233	26	1	unlike	unlike	ADP
fis-2233	26	2	their	their	PRON
fis-2233	26	3	time	time	NOUN
fis-2233	26	4	-	-	PUNCT
fis-2233	26	5	domain	domain	NOUN
fis-2233	26	6	counterparts	counterpart	NOUN
fis-2233	26	7	,	,	PUNCT
fis-2233	26	8	frequency	frequency	NOUN
fis-2233	26	9	-	-	PUNCT
fis-2233	26	10	domain	domain	NOUN
fis-2233	26	11	multiaxial	multiaxial	ADJ
fis-2233	26	12	criteria	criterion	NOUN
fis-2233	26	13	(	(	PUNCT
fis-2233	26	14	also	also	ADV
fis-2233	26	15	called	call	VERB
fis-2233	26	16	multiaxial	multiaxial	ADJ
fis-2233	26	17	spectral	spectral	ADJ
fis-2233	26	18	methods	method	NOUN
fis-2233	26	19	)	)	PUNCT
fis-2233	26	20	are	be	AUX
fis-2233	26	21	indeed	indeed	ADV
fis-2233	26	22	able	able	ADJ
fis-2233	26	23	to	to	PART
fis-2233	26	24	reduce	reduce	VERB
fis-2233	26	25	the	the	DET
fis-2233	26	26	overall	overall	ADJ
fis-2233	26	27	computational	computational	ADJ
fis-2233	26	28	time	time	NOUN
fis-2233	26	29	drastically	drastically	ADV
fis-2233	26	30	,	,	PUNCT
fis-2233	26	31	while	while	SCONJ
fis-2233	26	32	keeping	keep	VERB
fis-2233	26	33	high	high	ADJ
fis-2233	26	34	levels	level	NOUN
fis-2233	26	35	of	of	ADP
fis-2233	26	36	accuracy	accuracy	NOUN
fis-2233	26	37	.	.	PUNCT
fis-2233	27	1	in	in	ADP
fis-2233	27	2	multiaxial	multiaxial	ADJ
fis-2233	27	3	spectral	spectral	ADJ
fis-2233	27	4	methods	method	NOUN
fis-2233	27	5	,	,	PUNCT
fis-2233	27	6	the	the	DET
fis-2233	27	7	fatigue	fatigue	NOUN
fis-2233	27	8	damage	damage	NOUN
fis-2233	27	9	and	and	CCONJ
fis-2233	27	10	life	life	NOUN
fis-2233	27	11	are	be	AUX
fis-2233	27	12	estimated	estimate	VERB
fis-2233	27	13	directly	directly	ADV
fis-2233	27	14	from	from	ADP
fis-2233	27	15	power	power	NOUN
fis-2233	27	16	spectral	spectral	ADJ
fis-2233	27	17	density	density	NOUN
fis-2233	27	18	(	(	PUNCT
fis-2233	27	19	psd	psd	NOUN
fis-2233	27	20	)	)	PUNCT
fis-2233	27	21	data	datum	NOUN
fis-2233	27	22	(	(	PUNCT
fis-2233	27	23	i.e.	i.e.	X
fis-2233	27	24	spectra	spectra	ADJ
fis-2233	27	25	and	and	CCONJ
fis-2233	27	26	crossspectra	crossspectra	ADJ
fis-2233	27	27	)	)	PUNCT
fis-2233	27	28	,	,	PUNCT
fis-2233	27	29	which	which	PRON
fis-2233	27	30	characterize	characterize	VERB
fis-2233	27	31	a	a	DET
fis-2233	27	32	multiaxial	multiaxial	ADJ
fis-2233	27	33	random	random	ADJ
fis-2233	27	34	stress	stress	NOUN
fis-2233	27	35	in	in	ADP
fis-2233	27	36	the	the	DET
fis-2233	27	37	frequency	frequency	NOUN
fis-2233	27	38	-	-	PUNCT
fis-2233	27	39	domain	domain	NOUN
fis-2233	27	40	[	[	X
fis-2233	27	41	5	5	NUM
fis-2233	27	42	]	]	PUNCT
fis-2233	27	43	.	.	PUNCT
fis-2233	28	1	this	this	DET
fis-2233	28	2	approach	approach	NOUN
fis-2233	28	3	proves	prove	VERB
fis-2233	28	4	to	to	PART
fis-2233	28	5	be	be	AUX
fis-2233	28	6	computationally	computationally	ADV
fis-2233	28	7	efficient	efficient	ADJ
fis-2233	28	8	especially	especially	ADV
fis-2233	28	9	if	if	SCONJ
fis-2233	28	10	it	it	PRON
fis-2233	28	11	can	can	AUX
fis-2233	28	12	exploit	exploit	VERB
fis-2233	28	13	results	result	NOUN
fis-2233	28	14	of	of	ADP
fis-2233	28	15	fe	fe	ADJ
fis-2233	28	16	structural	structural	ADJ
fis-2233	28	17	dynamic	dynamic	ADJ
fis-2233	28	18	analyses	analysis	NOUN
fis-2233	28	19	.	.	PUNCT
fis-2233	29	1	it	it	PRON
fis-2233	29	2	has	have	AUX
fis-2233	29	3	furthermore	furthermore	ADV
fis-2233	29	4	been	be	AUX
fis-2233	29	5	demonstrated	demonstrate	VERB
fis-2233	29	6	that	that	SCONJ
fis-2233	29	7	the	the	DET
fis-2233	29	8	pbp	pbp	NOUN
fis-2233	29	9	method	method	NOUN
fis-2233	29	10	,	,	PUNCT
fis-2233	29	11	unlike	unlike	ADP
fis-2233	29	12	other	other	ADJ
fis-2233	29	13	frequency	frequency	NOUN
fis-2233	29	14	-	-	PUNCT
fis-2233	29	15	domain	domain	NOUN
fis-2233	29	16	criteria	criterion	NOUN
fis-2233	29	17	,	,	PUNCT
fis-2233	29	18	is	be	AUX
fis-2233	29	19	sensitive	sensitive	ADJ
fis-2233	29	20	to	to	ADP
fis-2233	29	21	the	the	DET
fis-2233	29	22	local	local	ADJ
fis-2233	29	23	state	state	NOUN
fis-2233	29	24	of	of	ADP
fis-2233	29	25	stress	stress	NOUN
fis-2233	29	26	in	in	ADP
fis-2233	29	27	a	a	DET
fis-2233	29	28	structure	structure	NOUN
fis-2233	29	29	as	as	SCONJ
fis-2233	29	30	it	it	PRON
fis-2233	29	31	correctly	correctly	ADV
fis-2233	29	32	takes	take	VERB
fis-2233	29	33	into	into	ADP
fis-2233	29	34	account	account	NOUN
fis-2233	29	35	the	the	DET
fis-2233	29	36	degree	degree	NOUN
fis-2233	29	37	of	of	ADP
fis-2233	29	38	correlation	correlation	NOUN
fis-2233	29	39	between	between	ADP
fis-2233	29	40	stress	stress	NOUN
fis-2233	29	41	components	component	NOUN
fis-2233	29	42	.	.	PUNCT
fis-2233	30	1	at	at	ADP
fis-2233	30	2	the	the	DET
fis-2233	30	3	same	same	ADJ
fis-2233	30	4	time	time	NOUN
fis-2233	30	5	,	,	PUNCT
fis-2233	30	6	the	the	DET
fis-2233	30	7	method	method	NOUN
fis-2233	30	8	can	can	AUX
fis-2233	30	9	also	also	ADV
fis-2233	30	10	account	account	VERB
fis-2233	30	11	for	for	ADP
fis-2233	30	12	different	different	ADJ
fis-2233	30	13	material	material	NOUN
fis-2233	30	14	behaviors	behavior	NOUN
fis-2233	30	15	depending	depend	VERB
fis-2233	30	16	on	on	ADP
fis-2233	30	17	different	different	ADJ
fis-2233	30	18	types	type	NOUN
fis-2233	30	19	of	of	ADP
fis-2233	30	20	multiaxial	multiaxial	ADJ
fis-2233	30	21	stress	stress	NOUN
fis-2233	30	22	[	[	X
fis-2233	30	23	1	1	NUM
fis-2233	30	24	-	-	SYM
fis-2233	30	25	4	4	NUM
fis-2233	30	26	]	]	PUNCT
fis-2233	30	27	.	.	PUNCT
fis-2233	31	1	this	this	PRON
fis-2233	31	2	is	be	AUX
fis-2233	31	3	of	of	ADP
fis-2233	31	4	great	great	ADJ
fis-2233	31	5	relevance	relevance	NOUN
fis-2233	31	6	in	in	ADP
fis-2233	31	7	engineering	engineering	NOUN
fis-2233	31	8	applications	application	NOUN
fis-2233	31	9	,	,	PUNCT
fis-2233	31	10	in	in	ADP
fis-2233	31	11	which	which	PRON
fis-2233	31	12	several	several	ADJ
fis-2233	31	13	materials	material	NOUN
fis-2233	31	14	need	need	VERB
fis-2233	31	15	to	to	PART
fis-2233	31	16	be	be	AUX
fis-2233	31	17	scrutinized	scrutinize	VERB
fis-2233	31	18	and	and	CCONJ
fis-2233	31	19	compared	compare	VERB
fis-2233	31	20	for	for	ADP
fis-2233	31	21	the	the	DET
fis-2233	31	22	same	same	ADJ
fis-2233	31	23	component	component	NOUN
fis-2233	31	24	geometry	geometry	NOUN
fis-2233	31	25	,	,	PUNCT
fis-2233	31	26	or	or	CCONJ
fis-2233	31	27	it	it	PRON
fis-2233	31	28	is	be	AUX
fis-2233	31	29	required	require	VERB
fis-2233	31	30	to	to	PART
fis-2233	31	31	perform	perform	VERB
fis-2233	31	32	a	a	DET
fis-2233	31	33	geometric	geometric	ADJ
fis-2233	31	34	optimization	optimization	NOUN
fis-2233	31	35	to	to	PART
fis-2233	31	36	make	make	VERB
fis-2233	31	37	the	the	DET
fis-2233	31	38	best	good	ADJ
fis-2233	31	39	use	use	NOUN
fis-2233	31	40	of	of	ADP
fis-2233	31	41	a	a	DET
fis-2233	31	42	given	give	VERB
fis-2233	31	43	material	material	NOUN
fis-2233	31	44	.	.	PUNCT
fis-2233	32	1	though	though	SCONJ
fis-2233	32	2	the	the	DET
fis-2233	32	3	pbp	pbp	PROPN
fis-2233	32	4	spectral	spectral	ADJ
fis-2233	32	5	method	method	NOUN
fis-2233	32	6	has	have	AUX
fis-2233	32	7	been	be	AUX
fis-2233	32	8	presented	present	VERB
fis-2233	32	9	in	in	ADP
fis-2233	32	10	a	a	DET
fis-2233	32	11	number	number	NOUN
fis-2233	32	12	of	of	ADP
fis-2233	32	13	scientific	scientific	ADJ
fis-2233	32	14	articles	article	NOUN
fis-2233	32	15	published	publish	VERB
fis-2233	32	16	so	so	ADV
fis-2233	32	17	far	far	ADV
fis-2233	32	18	[	[	X
fis-2233	32	19	3,4	3,4	NUM
fis-2233	32	20	]	]	PUNCT
fis-2233	32	21	,	,	PUNCT
fis-2233	32	22	it	it	PRON
fis-2233	32	23	is	be	AUX
fis-2233	32	24	our	our	PRON
fis-2233	32	25	belief	belief	NOUN
fis-2233	32	26	that	that	SCONJ
fis-2233	32	27	this	this	DET
fis-2233	32	28	work	work	NOUN
fis-2233	32	29	–	–	PUNCT
fis-2233	32	30	entirely	entirely	ADV
fis-2233	32	31	devoted	devoted	ADJ
fis-2233	32	32	to	to	ADP
fis-2233	32	33	its	its	PRON
fis-2233	32	34	practical	practical	ADJ
fis-2233	32	35	application	application	NOUN
fis-2233	32	36	–	–	PUNCT
fis-2233	32	37	would	would	AUX
fis-2233	32	38	be	be	AUX
fis-2233	32	39	helpful	helpful	ADJ
fis-2233	32	40	to	to	ADP
fis-2233	32	41	anyone	anyone	PRON
fis-2233	32	42	who	who	PRON
fis-2233	32	43	wishes	wish	VERB
fis-2233	32	44	to	to	PART
fis-2233	32	45	implement	implement	VERB
fis-2233	32	46	the	the	DET
fis-2233	32	47	method	method	NOUN
fis-2233	32	48	on	on	ADP
fis-2233	32	49	his	his	PRON
fis-2233	32	50	own	own	ADJ
fis-2233	32	51	.	.	PUNCT
fis-2233	33	1	after	after	ADP
fis-2233	33	2	summarizing	summarize	VERB
fis-2233	33	3	some	some	DET
fis-2233	33	4	theoretical	theoretical	ADJ
fis-2233	33	5	formulas	formula	NOUN
fis-2233	33	6	to	to	PART
fis-2233	33	7	characterize	characterize	VERB
fis-2233	33	8	deviatoric	deviatoric	NOUN
fis-2233	33	9	and	and	CCONJ
fis-2233	33	10	hydrostatic	hydrostatic	ADJ
fis-2233	33	11	stress	stress	NOUN
fis-2233	33	12	components	component	NOUN
fis-2233	33	13	in	in	ADP
fis-2233	33	14	frequency	frequency	NOUN
fis-2233	33	15	-	-	PUNCT
fis-2233	33	16	domain	domain	NOUN
fis-2233	33	17	,	,	PUNCT
fis-2233	33	18	the	the	DET
fis-2233	33	19	work	work	NOUN
fis-2233	33	20	discusses	discuss	VERB
fis-2233	33	21	all	all	DET
fis-2233	33	22	the	the	DET
fis-2233	33	23	steps	step	NOUN
fis-2233	33	24	necessary	necessary	ADJ
fis-2233	33	25	to	to	PART
fis-2233	33	26	implement	implement	VERB
fis-2233	33	27	the	the	DET
fis-2233	33	28	pbp	pbp	NOUN
fis-2233	33	29	method	method	NOUN
fis-2233	33	30	.	.	PUNCT
fis-2233	34	1	a	a	DET
fis-2233	34	2	first	first	ADJ
fis-2233	34	3	numerical	numerical	ADJ
fis-2233	34	4	case	case	NOUN
fis-2233	34	5	study	study	NOUN
fis-2233	34	6	is	be	AUX
fis-2233	34	7	considered	consider	VERB
fis-2233	34	8	,	,	PUNCT
fis-2233	34	9	in	in	ADP
fis-2233	34	10	which	which	PRON
fis-2233	34	11	various	various	ADJ
fis-2233	34	12	biaxial	biaxial	NOUN
fis-2233	34	13	stress	stress	NOUN
fis-2233	34	14	states	state	NOUN
fis-2233	34	15	are	be	AUX
fis-2233	34	16	applied	apply	VERB
fis-2233	34	17	to	to	ADP
fis-2233	34	18	three	three	NUM
fis-2233	34	19	different	different	ADJ
fis-2233	34	20	materials	material	NOUN
fis-2233	34	21	.	.	PUNCT
fis-2233	35	1	each	each	DET
fis-2233	35	2	analysis	analysis	NOUN
fis-2233	35	3	step	step	NOUN
fis-2233	35	4	is	be	AUX
fis-2233	35	5	commented	comment	VERB
fis-2233	35	6	on	on	ADP
fis-2233	35	7	in	in	ADP
fis-2233	35	8	detail	detail	NOUN
fis-2233	35	9	to	to	PART
fis-2233	35	10	give	give	VERB
fis-2233	35	11	an	an	DET
fis-2233	35	12	exhaustive	exhaustive	ADJ
fis-2233	35	13	description	description	NOUN
fis-2233	35	14	of	of	ADP
fis-2233	35	15	the	the	DET
fis-2233	35	16	procedure	procedure	NOUN
fis-2233	35	17	.	.	PUNCT
fis-2233	36	1	finally	finally	ADV
fis-2233	36	2	,	,	PUNCT
fis-2233	36	3	the	the	DET
fis-2233	36	4	case	case	NOUN
fis-2233	36	5	of	of	ADP
fis-2233	36	6	a	a	DET
fis-2233	36	7	simple	simple	ADJ
fis-2233	36	8	2d	2d	NOUN
fis-2233	36	9	structure	structure	NOUN
fis-2233	36	10	subjected	subject	VERB
fis-2233	36	11	to	to	ADP
fis-2233	36	12	random	random	ADJ
fis-2233	36	13	excitations	excitation	NOUN
fis-2233	36	14	is	be	AUX
fis-2233	36	15	considered	consider	VERB
fis-2233	36	16	to	to	PART
fis-2233	36	17	show	show	VERB
fis-2233	36	18	how	how	SCONJ
fis-2233	36	19	the	the	DET
fis-2233	36	20	pbp	pbp	NOUN
fis-2233	36	21	method	method	NOUN
fis-2233	36	22	can	can	AUX
fis-2233	36	23	be	be	AUX
fis-2233	36	24	easily	easily	ADV
fis-2233	36	25	embedded	embed	VERB
fis-2233	36	26	into	into	ADP
fis-2233	36	27	a	a	DET
fis-2233	36	28	fe	fe	NOUN
fis-2233	36	29	durability	durability	NOUN
fis-2233	36	30	analysis	analysis	NOUN
fis-2233	36	31	.	.	PUNCT
fis-2233	37	1	frequency	frequency	NOUN
fis-2233	37	2	-	-	PUNCT
fis-2233	37	3	domain	domain	NOUN
fis-2233	37	4	description	description	NOUN
fis-2233	37	5	of	of	ADP
fis-2233	37	6	a	a	DET
fis-2233	37	7	multiaxial	multiaxial	ADJ
fis-2233	37	8	random	random	ADJ
fis-2233	37	9	stress	stress	NOUN
fis-2233	37	10	efore	efore	NOUN
fis-2233	37	11	discussing	discuss	VERB
fis-2233	37	12	the	the	DET
fis-2233	37	13	pbp	pbp	NOUN
fis-2233	37	14	criterion	criterion	NOUN
fis-2233	37	15	and	and	CCONJ
fis-2233	37	16	the	the	DET
fis-2233	37	17	numerical	numerical	ADJ
fis-2233	37	18	examples	example	NOUN
fis-2233	37	19	,	,	PUNCT
fis-2233	37	20	it	it	PRON
fis-2233	37	21	is	be	AUX
fis-2233	37	22	useful	useful	ADJ
fis-2233	37	23	to	to	PART
fis-2233	37	24	summarize	summarize	VERB
fis-2233	37	25	the	the	DET
fis-2233	37	26	main	main	ADJ
fis-2233	37	27	quantities	quantity	NOUN
fis-2233	37	28	used	use	VERB
fis-2233	37	29	in	in	ADP
fis-2233	37	30	the	the	DET
fis-2233	37	31	following	follow	VERB
fis-2233	37	32	(	(	PUNCT
fis-2233	37	33	a	a	DET
fis-2233	37	34	nomenclature	nomenclature	NOUN
fis-2233	37	35	is	be	AUX
fis-2233	37	36	also	also	ADV
fis-2233	37	37	given	give	VERB
fis-2233	37	38	at	at	ADP
fis-2233	37	39	the	the	DET
fis-2233	37	40	end	end	NOUN
fis-2233	37	41	of	of	ADP
fis-2233	37	42	the	the	DET
fis-2233	37	43	article	article	NOUN
fis-2233	37	44	)	)	PUNCT
fis-2233	37	45	.	.	PUNCT
fis-2233	38	1	the	the	DET
fis-2233	38	2	next	next	ADJ
fis-2233	38	3	paragraphs	paragraph	NOUN
fis-2233	38	4	will	will	AUX
fis-2233	38	5	assume	assume	VERB
fis-2233	38	6	that	that	SCONJ
fis-2233	38	7	the	the	DET
fis-2233	38	8	reader	reader	NOUN
fis-2233	38	9	is	be	AUX
fis-2233	38	10	somehow	somehow	ADV
fis-2233	38	11	familiar	familiar	ADJ
fis-2233	38	12	with	with	ADP
fis-2233	38	13	the	the	DET
fis-2233	38	14	basic	basic	ADJ
fis-2233	38	15	concepts	concept	NOUN
fis-2233	38	16	and	and	CCONJ
fis-2233	38	17	terminology	terminology	NOUN
fis-2233	38	18	of	of	ADP
fis-2233	38	19	the	the	DET
fis-2233	38	20	frequency	frequency	NOUN
fis-2233	38	21	-	-	PUNCT
fis-2233	38	22	domain	domain	NOUN
fis-2233	38	23	approach	approach	NOUN
fis-2233	38	24	to	to	ADP
fis-2233	38	25	random	random	ADJ
fis-2233	38	26	processes	process	NOUN
fis-2233	38	27	.	.	PUNCT
fis-2233	39	1	otherwise	otherwise	ADV
fis-2233	39	2	,	,	PUNCT
fis-2233	39	3	a	a	DET
fis-2233	39	4	short	short	ADJ
fis-2233	39	5	review	review	NOUN
fis-2233	39	6	is	be	AUX
fis-2233	39	7	provided	provide	VERB
fis-2233	39	8	in	in	ADP
fis-2233	39	9	appendix	appendix	ADJ
fis-2233	39	10	a.	a.	NOUN
fis-2233	39	11	equations	equation	NOUN
fis-2233	39	12	will	will	AUX
fis-2233	39	13	be	be	AUX
fis-2233	39	14	developed	develop	VERB
fis-2233	39	15	for	for	ADP
fis-2233	39	16	a	a	DET
fis-2233	39	17	biaxial	biaxial	ADJ
fis-2233	39	18	stress	stress	NOUN
fis-2233	39	19	state	state	NOUN
fis-2233	39	20	;	;	PUNCT
fis-2233	39	21	extension	extension	NOUN
fis-2233	39	22	to	to	ADP
fis-2233	39	23	a	a	DET
fis-2233	39	24	three	three	NUM
fis-2233	39	25	-	-	PUNCT
fis-2233	39	26	dimensional	dimensional	ADJ
fis-2233	39	27	stress	stress	NOUN
fis-2233	39	28	state	state	NOUN
fis-2233	39	29	is	be	AUX
fis-2233	39	30	straightforward	straightforward	ADJ
fis-2233	39	31	.	.	PUNCT
fis-2233	40	1	description	description	NOUN
fis-2233	40	2	of	of	ADP
fis-2233	40	3	multiaxial	multiaxial	ADJ
fis-2233	40	4	stress	stress	NOUN
fis-2233	40	5	state	state	NOUN
fis-2233	40	6	in	in	ADP
fis-2233	40	7	physical	physical	ADJ
fis-2233	40	8	space	space	NOUN
fis-2233	40	9	assume	assume	VERB
fis-2233	40	10	that	that	SCONJ
fis-2233	40	11	σ(t	σ(t	PROPN
fis-2233	40	12	)	)	PUNCT
fis-2233	40	13	represents	represent	VERB
fis-2233	40	14	the	the	DET
fis-2233	40	15	time	time	NOUN
fis-2233	40	16	-	-	PUNCT
fis-2233	40	17	varying	vary	VERB
fis-2233	40	18	stress	stress	NOUN
fis-2233	40	19	tensor	tensor	NOUN
fis-2233	40	20	in	in	ADP
fis-2233	40	21	a	a	DET
fis-2233	40	22	point	point	NOUN
fis-2233	40	23	of	of	ADP
fis-2233	40	24	a	a	DET
fis-2233	40	25	mechanical	mechanical	ADJ
fis-2233	40	26	component	component	NOUN
fis-2233	40	27	(	(	PUNCT
fis-2233	40	28	t	t	PROPN
fis-2233	40	29	is	be	AUX
fis-2233	40	30	the	the	DET
fis-2233	40	31	time	time	NOUN
fis-2233	40	32	variable	variable	NOUN
fis-2233	40	33	)	)	PUNCT
fis-2233	40	34	.	.	PUNCT
fis-2233	41	1	if	if	SCONJ
fis-2233	41	2	the	the	DET
fis-2233	41	3	point	point	NOUN
fis-2233	41	4	is	be	AUX
fis-2233	41	5	located	locate	VERB
fis-2233	41	6	on	on	ADP
fis-2233	41	7	the	the	DET
fis-2233	41	8	surface	surface	NOUN
fis-2233	41	9	,	,	PUNCT
fis-2233	41	10	where	where	SCONJ
fis-2233	41	11	fatigue	fatigue	NOUN
fis-2233	41	12	cracks	crack	NOUN
fis-2233	41	13	usually	usually	ADV
fis-2233	41	14	nucleate	nucleate	VERB
fis-2233	41	15	,	,	PUNCT
fis-2233	41	16	the	the	DET
fis-2233	41	17	tensor	tensor	NOUN
fis-2233	41	18	σ(t	σ(t	PROPN
fis-2233	41	19	)	)	PUNCT
fis-2233	41	20	will	will	AUX
fis-2233	41	21	have	have	VERB
fis-2233	41	22	three	three	NUM
fis-2233	41	23	non	non	ADJ
fis-2233	41	24	-	-	ADJ
fis-2233	41	25	redundant	redundant	ADJ
fis-2233	41	26	stress	stress	NOUN
fis-2233	41	27	components	component	NOUN
fis-2233	41	28	σx(t	σx(t	NOUN
fis-2233	41	29	)	)	PUNCT
fis-2233	41	30	,	,	PUNCT
fis-2233	41	31	σy(t	σy(t	PROPN
fis-2233	41	32	)	)	PUNCT
fis-2233	41	33	,	,	PUNCT
fis-2233	41	34	τxy(t	τxy(t	PROPN
fis-2233	41	35	)	)	PUNCT
fis-2233	41	36	(	(	PUNCT
fis-2233	41	37	i.e.	i.e.	X
fis-2233	41	38	biaxial	biaxial	NOUN
fis-2233	41	39	or	or	CCONJ
fis-2233	41	40	plane	plane	NOUN
fis-2233	41	41	stress	stress	NOUN
fis-2233	41	42	)	)	PUNCT
fis-2233	41	43	,	,	PUNCT
fis-2233	41	44	where	where	SCONJ
fis-2233	41	45	σ	σ	PROPN
fis-2233	41	46	and	and	CCONJ
fis-2233	41	47	τ	τ	PROPN
fis-2233	41	48	are	be	AUX
fis-2233	41	49	normal	normal	ADJ
fis-2233	41	50	and	and	CCONJ
fis-2233	41	51	shear	shear	ADJ
fis-2233	41	52	stress	stress	NOUN
fis-2233	41	53	,	,	PUNCT
fis-2233	41	54	respectively	respectively	ADV
fis-2233	41	55	.	.	PUNCT
fis-2233	42	1	each	each	PRON
fis-2233	42	2	stress	stress	VERB
fis-2233	42	3	σx(t	σx(t	NOUN
fis-2233	42	4	)	)	PUNCT
fis-2233	42	5	,	,	PUNCT
fis-2233	42	6	σy(t	σy(t	PROPN
fis-2233	42	7	)	)	PUNCT
fis-2233	42	8	,	,	PUNCT
fis-2233	42	9	τxy(t	τxy(t	PROPN
fis-2233	42	10	)	)	PUNCT
fis-2233	42	11	is	be	AUX
fis-2233	42	12	assumed	assume	VERB
fis-2233	42	13	to	to	PART
fis-2233	42	14	be	be	AUX
fis-2233	42	15	a	a	DET
fis-2233	42	16	zero	zero	NUM
fis-2233	42	17	-	-	PUNCT
fis-2233	42	18	mean	mean	NOUN
fis-2233	42	19	and	and	CCONJ
fis-2233	42	20	covariant	covariant	ADJ
fis-2233	42	21	stationary	stationary	ADJ
fis-2233	42	22	random	random	ADJ
fis-2233	42	23	stress	stress	NOUN
fis-2233	42	24	(	(	PUNCT
fis-2233	42	25	the	the	DET
fis-2233	42	26	term	term	NOUN
fis-2233	42	27	“	"	PUNCT
fis-2233	42	28	stationary	stationary	ADJ
fis-2233	42	29	”	"	PUNCT
fis-2233	42	30	means	mean	NOUN
fis-2233	42	31	,	,	PUNCT
fis-2233	42	32	roughly	roughly	ADV
fis-2233	42	33	speaking	speak	VERB
fis-2233	42	34	,	,	PUNCT
fis-2233	42	35	that	that	SCONJ
fis-2233	42	36	the	the	DET
fis-2233	42	37	random	random	ADJ
fis-2233	42	38	stress	stress	NOUN
fis-2233	42	39	has	have	AUX
fis-2233	42	40	statistical	statistical	ADJ
fis-2233	42	41	properties	property	NOUN
fis-2233	42	42	almost	almost	ADV
fis-2233	42	43	constant	constant	ADJ
fis-2233	42	44	over	over	ADP
fis-2233	42	45	time	time	NOUN
fis-2233	42	46	)	)	PUNCT
fis-2233	42	47	.	.	PUNCT
fis-2233	43	1	the	the	DET
fis-2233	43	2	stress	stress	NOUN
fis-2233	43	3	components	component	NOUN
fis-2233	43	4	in	in	ADP
fis-2233	43	5	σ(t	σ(t	PROPN
fis-2233	43	6	)	)	PUNCT
fis-2233	43	7	are	be	AUX
fis-2233	43	8	usually	usually	ADV
fis-2233	43	9	reordered	reorder	VERB
fis-2233	43	10	into	into	ADP
fis-2233	43	11	a	a	DET
fis-2233	43	12	stress	stress	NOUN
fis-2233	43	13	vector	vector	NOUN
fis-2233	43	14	x(t)=(σx(t	x(t)=(σx(t	NOUN
fis-2233	43	15	)	)	PUNCT
fis-2233	43	16	,	,	PUNCT
fis-2233	43	17	σy(t	σy(t	PROPN
fis-2233	43	18	)	)	PUNCT
fis-2233	43	19	,	,	PUNCT
fis-2233	43	20	τxy(t	τxy(t	PROPN
fis-2233	43	21	)	)	PUNCT
fis-2233	43	22	)	)	PUNCT
fis-2233	43	23	,	,	PUNCT
fis-2233	43	24	also	also	ADV
fis-2233	43	25	written	write	VERB
fis-2233	43	26	as	as	ADP
fis-2233	43	27	x(t)=(x1(t	x(t)=(x1(t	PROPN
fis-2233	43	28	)	)	PUNCT
fis-2233	43	29	,	,	PUNCT
fis-2233	43	30	x2(t	x2(t	PROPN
fis-2233	43	31	)	)	PUNCT
fis-2233	43	32	,	,	PUNCT
fis-2233	43	33	x3(t	x3(t	PROPN
fis-2233	43	34	)	)	PUNCT
fis-2233	43	35	)	)	PUNCT
fis-2233	43	36	.	.	PUNCT
fis-2233	44	1	this	this	DET
fis-2233	44	2	vector	vector	NOUN
fis-2233	44	3	is	be	AUX
fis-2233	44	4	characterized	characterize	VERB
fis-2233	44	5	in	in	ADP
fis-2233	44	6	the	the	DET
fis-2233	44	7	frequency	frequency	NOUN
fis-2233	44	8	-	-	PUNCT
fis-2233	44	9	domain	domain	NOUN
fis-2233	44	10	by	by	ADP
fis-2233	44	11	the	the	DET
fis-2233	44	12	two	two	NUM
fis-2233	44	13	-	-	PUNCT
fis-2233	44	14	sided	sided	ADJ
fis-2233	44	15	psd	psd	NOUN
fis-2233	44	16	matrix	matrix	NOUN
fis-2233	44	17	:	:	PUNCT
fis-2233	44	18			PROPN
fis-2233	44	19			PROPN
fis-2233	44	20			PROPN
fis-2233	44	21			PROPN
fis-2233	44	22			X
fis-2233	44	23			NOUN
fis-2233	44	24			NOUN
fis-2233	44	25			NOUN
fis-2233	44	26			VERB
fis-2233	44	27			PROPN
fis-2233	44	28			NOUN
fis-2233	44	29	)	)	PUNCT
fis-2233	44	30	(	(	PUNCT
fis-2233	44	31	)	)	PUNCT
fis-2233	44	32	(	(	PUNCT
fis-2233	44	33	)	)	PUNCT
fis-2233	44	34	(	(	PUNCT
fis-2233	44	35	)	)	PUNCT
fis-2233	44	36	(	(	PUNCT
fis-2233	44	37	)	)	PUNCT
fis-2233	44	38	(	(	PUNCT
fis-2233	44	39	)	)	PUNCT
fis-2233	44	40	(	(	PUNCT
fis-2233	44	41	)	)	PUNCT
fis-2233	44	42	(	(	PUNCT
fis-2233	44	43	)	)	PUNCT
fis-2233	44	44	(	(	PUNCT
fis-2233	44	45	)	)	PUNCT
fis-2233	44	46	(	(	PUNCT
fis-2233	44	47	)	)	PUNCT
fis-2233	44	48	(	(	PUNCT
fis-2233	44	49	*	*	PUNCT
fis-2233	44	50	,	,	PUNCT
fis-2233	44	51	*	*	PUNCT
fis-2233	44	52	,	,	PUNCT
fis-2233	44	53	,	,	PUNCT
fis-2233	44	54	*	*	PUNCT
fis-2233	44	55	,	,	PUNCT
fis-2233	44	56	,	,	PUNCT
fis-2233	44	57	,	,	PUNCT
fis-2233	44	58	fsfsfs	fsfsfs	PROPN
fis-2233	44	59	fsfsfs	fsfsfs	PROPN
fis-2233	44	60	fsfsfs	fsfsfs	PROPN
fis-2233	44	61	f	f	PROPN
fis-2233	44	62	xyxyyyxyxx	xyxyyyxyxx	PROPN
fis-2233	44	63	xyyyyyyyxx	xyyyyyyyxx	PROPN
fis-2233	44	64	xyxxyyxxxx	xyxxyyxxxx	PROPN
fis-2233	44	65	s	s	X
fis-2233	44	66	(	(	PUNCT
fis-2233	44	67	1	1	NUM
fis-2233	44	68	)	)	PUNCT
fis-2233	44	69	b	b	PROPN
fis-2233	44	70	d.	d.	PROPN
fis-2233	44	71	benasciutti	benasciutti	PROPN
fis-2233	44	72	et	et	PROPN
fis-2233	44	73	alii	alii	PROPN
fis-2233	44	74	,	,	PUNCT
fis-2233	44	75	frattura	frattura	PROPN
fis-2233	44	76	ed	ed	PROPN
fis-2233	44	77	integrità	integrità	PROPN
fis-2233	44	78	strutturale	strutturale	PROPN
fis-2233	44	79	,	,	PUNCT
fis-2233	44	80	47	47	NUM
fis-2233	44	81	(	(	PUNCT
fis-2233	44	82	2019	2019	NUM
fis-2233	44	83	)	)	PUNCT
fis-2233	44	84	348	348	NUM
fis-2233	44	85	-	-	SYM
fis-2233	44	86	366	366	NUM
fis-2233	44	87	;	;	PUNCT
fis-2233	44	88	doi	doi	NOUN
fis-2233	44	89	:	:	PUNCT
fis-2233	44	90	10.3221	10.3221	NUM
fis-2233	44	91	/	/	SYM
fis-2233	44	92	igf	igf	PROPN
fis-2233	44	93	-	-	ADJ
fis-2233	44	94	esis.47.26	esis.47.26	ADJ
fis-2233	44	95	350	350	NUM
fis-2233	44	96	in	in	ADP
fis-2233	44	97	which	which	PRON
fis-2233	44	98	diagonal	diagonal	ADJ
fis-2233	44	99	terms	term	NOUN
fis-2233	44	100	are	be	AUX
fis-2233	44	101	auto	auto	NOUN
fis-2233	44	102	-	-	PUNCT
fis-2233	44	103	spectra	spectra	NOUN
fis-2233	44	104	and	and	CCONJ
fis-2233	44	105	out	out	ADP
fis-2233	44	106	-	-	PUNCT
fis-2233	44	107	of	of	ADP
fis-2233	44	108	-	-	PUNCT
fis-2233	44	109	diagonal	diagonal	ADJ
fis-2233	44	110	terms	term	NOUN
fis-2233	44	111	cross	cross	ADJ
fis-2233	44	112	-	-	NOUN
fis-2233	44	113	spectra	spectra	ADJ
fis-2233	44	114	;	;	PUNCT
fis-2233	44	115	f	f	PROPN
fis-2233	44	116	is	be	AUX
fis-2233	44	117	the	the	DET
fis-2233	44	118	frequency	frequency	NOUN
fis-2233	44	119	(	(	PUNCT
fis-2233	44	120	hz	hz	PROPN
fis-2233	44	121	)	)	PUNCT
fis-2233	44	122	.	.	PUNCT
fis-2233	45	1	matrix	matrix	NOUN
fis-2233	45	2	s(f	s(f	PROPN
fis-2233	45	3	)	)	PUNCT
fis-2233	45	4	is	be	AUX
fis-2233	45	5	hermitian	hermitian	ADJ
fis-2233	45	6	(	(	PUNCT
fis-2233	45	7	see	see	VERB
fis-2233	45	8	appendix	appendix	NOUN
fis-2233	45	9	a	a	PRON
fis-2233	45	10	)	)	PUNCT
fis-2233	45	11	.	.	PUNCT
fis-2233	46	1	the	the	DET
fis-2233	46	2	psd	psd	NOUN
fis-2233	46	3	matrix	matrix	NOUN
fis-2233	46	4	allows	allow	VERB
fis-2233	46	5	the	the	DET
fis-2233	46	6	covariance	covariance	NOUN
fis-2233	46	7	matrix	matrix	NOUN
fis-2233	46	8	c	c	NOUN
fis-2233	46	9	(	(	PUNCT
fis-2233	46	10	symmetric	symmetric	ADJ
fis-2233	46	11	)	)	PUNCT
fis-2233	46	12	to	to	PART
fis-2233	46	13	be	be	AUX
fis-2233	46	14	computed	compute	VERB
fis-2233	46	15	:	:	PUNCT
fis-2233	46	16			ADJ
fis-2233	46	17			PROPN
fis-2233	46	18			PROPN
fis-2233	46	19			PROPN
fis-2233	46	20			X
fis-2233	46	21			NOUN
fis-2233	46	22			NOUN
fis-2233	46	23			NOUN
fis-2233	46	24			VERB
fis-2233	46	25			PROPN
fis-2233	46	26			PROPN
fis-2233	46	27	xyyyxyxy	xyyyxyxy	PROPN
fis-2233	46	28	,	,	PUNCT
fis-2233	46	29	xx	xx	PROPN
fis-2233	46	30	xyyyyyxxyy	xyyyyyxxyy	PROPN
fis-2233	46	31	xyxxyyxxxx	xyxxyyxxxx	PROPN
fis-2233	46	32	ccc	ccc	PROPN
fis-2233	46	33	ccc	ccc	PROPN
fis-2233	46	34	ccc	ccc	PROPN
fis-2233	46	35	,	,	PUNCT
fis-2233	46	36	,	,	PUNCT
fis-2233	46	37	,	,	PUNCT
fis-2233	46	38	,	,	PUNCT
fis-2233	46	39	,	,	PUNCT
fis-2233	46	40	c	c	X
fis-2233	46	41	(	(	PUNCT
fis-2233	46	42	2	2	NUM
fis-2233	46	43	)	)	PUNCT
fis-2233	46	44	the	the	DET
fis-2233	46	45	i	i	PROPN
fis-2233	46	46	-	-	PUNCT
fis-2233	46	47	th	th	X
fis-2233	46	48	diagonal	diagonal	ADJ
fis-2233	46	49	term	term	NOUN
fis-2233	46	50	cii	cii	PROPN
fis-2233	46	51	=	=	PROPN
fis-2233	46	52	var(xi(t	var(xi(t	PROPN
fis-2233	46	53	)	)	PUNCT
fis-2233	46	54	)	)	PUNCT
fis-2233	46	55	is	be	AUX
fis-2233	46	56	the	the	DET
fis-2233	46	57	variance	variance	NOUN
fis-2233	46	58	of	of	ADP
fis-2233	46	59	stress	stress	NOUN
fis-2233	46	60	xi(t	xi(t	PUNCT
fis-2233	46	61	)	)	PUNCT
fis-2233	46	62	,	,	PUNCT
fis-2233	46	63	the	the	DET
fis-2233	46	64	ij	ij	NOUN
fis-2233	46	65	-	-	PUNCT
fis-2233	46	66	th	th	X
fis-2233	46	67	out	out	ADP
fis-2233	46	68	-	-	PUNCT
fis-2233	46	69	of	of	ADP
fis-2233	46	70	-	-	PUNCT
fis-2233	46	71	diagonal	diagonal	ADJ
fis-2233	46	72	term	term	NOUN
fis-2233	46	73	is	be	AUX
fis-2233	46	74	the	the	DET
fis-2233	46	75	covariance	covariance	NOUN
fis-2233	46	76	cij	cij	PROPN
fis-2233	46	77	=	=	PROPN
fis-2233	46	78	cov(xi(t	cov(xi(t	PROPN
fis-2233	46	79	)	)	PUNCT
fis-2233	46	80	,	,	PUNCT
fis-2233	46	81	xj(t	xj(t	NUM
fis-2233	46	82	)	)	PUNCT
fis-2233	46	83	)	)	PUNCT
fis-2233	46	84	between	between	ADP
fis-2233	46	85	xi(t	xi(t	NOUN
fis-2233	46	86	)	)	PUNCT
fis-2233	46	87	and	and	CCONJ
fis-2233	46	88	xj(t	xj(t	NUM
fis-2233	46	89	)	)	PUNCT
fis-2233	46	90	.	.	PUNCT
fis-2233	47	1	normalizing	normalize	VERB
fis-2233	47	2	the	the	DET
fis-2233	47	3	covariance	covariance	NOUN
fis-2233	47	4	cij	cij	PROPN
fis-2233	47	5	allows	allow	VERB
fis-2233	47	6	a	a	DET
fis-2233	47	7	correlation	correlation	NOUN
fis-2233	47	8	coefficient	coefficient	NOUN
fis-2233	47	9	to	to	PART
fis-2233	47	10	be	be	AUX
fis-2233	47	11	defined	define	VERB
fis-2233	47	12	as	as	ADP
fis-2233	47	13	jjiiijij	jjiiijij	PROPN
fis-2233	47	14	cccr	cccr	PROPN
fis-2233	47	15	/	/	PUNCT
fis-2233	47	16	.	.	PUNCT
fis-2233	48	1	the	the	DET
fis-2233	48	2	correlation	correlation	NOUN
fis-2233	48	3	coefficient	coefficient	NOUN
fis-2233	48	4	represents	represent	VERB
fis-2233	48	5	,	,	PUNCT
fis-2233	48	6	for	for	ADP
fis-2233	48	7	multiaxial	multiaxial	ADJ
fis-2233	48	8	random	random	ADJ
fis-2233	48	9	loadings	loading	NOUN
fis-2233	48	10	,	,	PUNCT
fis-2233	48	11	the	the	DET
fis-2233	48	12	statistical	statistical	ADJ
fis-2233	48	13	equivalent	equivalent	NOUN
fis-2233	48	14	of	of	ADP
fis-2233	48	15	the	the	DET
fis-2233	48	16	phase	phase	NOUN
fis-2233	48	17	angle	angle	NOUN
fis-2233	48	18	for	for	ADP
fis-2233	48	19	sinusoidal	sinusoidal	ADJ
fis-2233	48	20	loadings	loading	NOUN
fis-2233	48	21	.	.	PUNCT
fis-2233	49	1	it	it	PRON
fis-2233	49	2	discriminates	discriminate	VERB
fis-2233	49	3	between	between	ADP
fis-2233	49	4	two	two	NUM
fis-2233	49	5	limiting	limit	VERB
fis-2233	49	6	cases	case	NOUN
fis-2233	49	7	:	:	PUNCT
fis-2233	49	8	rij=1	rij=1	ADJ
fis-2233	49	9	for	for	ADP
fis-2233	49	10	perfectly	perfectly	ADV
fis-2233	49	11	correlated	correlate	VERB
fis-2233	49	12	processes	process	NOUN
fis-2233	49	13	(	(	PUNCT
fis-2233	49	14	i.e.	i.e.	X
fis-2233	49	15	proportional	proportional	ADJ
fis-2233	49	16	stresses	stress	NOUN
fis-2233	49	17	)	)	PUNCT
fis-2233	49	18	,	,	PUNCT
fis-2233	49	19	rij=0	rij=0	VERB
fis-2233	49	20	for	for	ADP
fis-2233	49	21	uncorrelated	uncorrelated	ADJ
fis-2233	49	22	processes	process	NOUN
fis-2233	49	23	(	(	PUNCT
fis-2233	49	24	i.e.	i.e.	X
fis-2233	49	25	not	not	PART
fis-2233	49	26	-	-	PUNCT
fis-2233	49	27	proportional	proportional	ADJ
fis-2233	49	28	stresses	stress	NOUN
fis-2233	49	29	)	)	PUNCT
fis-2233	49	30	.	.	PUNCT
fis-2233	50	1	description	description	NOUN
fis-2233	50	2	of	of	ADP
fis-2233	50	3	deviatoric	deviatoric	ADJ
fis-2233	50	4	and	and	CCONJ
fis-2233	50	5	hydrostatic	hydrostatic	ADJ
fis-2233	50	6	stress	stress	NOUN
fis-2233	50	7	the	the	DET
fis-2233	50	8	pbp	pbp	NOUN
fis-2233	50	9	method	method	NOUN
fis-2233	50	10	is	be	AUX
fis-2233	50	11	an	an	DET
fis-2233	50	12	invariant	invariant	NOUN
fis-2233	50	13	-	-	PUNCT
fis-2233	50	14	based	base	VERB
fis-2233	50	15	multiaxial	multiaxial	ADJ
fis-2233	50	16	criterion	criterion	NOUN
fis-2233	50	17	,	,	PUNCT
fis-2233	50	18	so	so	CCONJ
fis-2233	50	19	a	a	DET
fis-2233	50	20	frequency	frequency	NOUN
fis-2233	50	21	-	-	PUNCT
fis-2233	50	22	domain	domain	NOUN
fis-2233	50	23	description	description	NOUN
fis-2233	50	24	of	of	ADP
fis-2233	50	25	the	the	DET
fis-2233	50	26	deviatoric	deviatoric	ADJ
fis-2233	50	27	and	and	CCONJ
fis-2233	50	28	hydrostatic	hydrostatic	ADJ
fis-2233	50	29	stresses	stress	NOUN
fis-2233	50	30	is	be	AUX
fis-2233	50	31	needed	need	VERB
fis-2233	50	32	.	.	PUNCT
fis-2233	51	1	the	the	DET
fis-2233	51	2	pbp	pbp	NOUN
fis-2233	51	3	criterion	criterion	NOUN
fis-2233	51	4	works	work	VERB
fis-2233	51	5	with	with	ADP
fis-2233	51	6	the	the	DET
fis-2233	51	7	amplitude	amplitude	NOUN
fis-2233	51	8	a2,j	a2,j	PROPN
fis-2233	51	9	of	of	ADP
fis-2233	51	10	the	the	DET
fis-2233	51	11	square	square	ADJ
fis-2233	51	12	root	root	NOUN
fis-2233	51	13	of	of	ADP
fis-2233	51	14	the	the	DET
fis-2233	51	15	second	second	ADJ
fis-2233	51	16	invariant	invariant	ADJ
fis-2233	51	17	j2	j2	NOUN
fis-2233	51	18	of	of	ADP
fis-2233	51	19	the	the	DET
fis-2233	51	20	deviatoric	deviatoric	ADJ
fis-2233	51	21	stress	stress	NOUN
fis-2233	51	22	tensor	tensor	NOUN
fis-2233	51	23	σ'(t	σ'(t	NOUN
fis-2233	51	24	)	)	PUNCT
fis-2233	51	25	,	,	PUNCT
fis-2233	51	26	where	where	SCONJ
fis-2233	51	27	the	the	DET
fis-2233	51	28	decomposition	decomposition	NOUN
fis-2233	51	29	σ(t)=σ'(t)+σh(t)i	σ(t)=σ'(t)+σh(t)i	VERB
fis-2233	51	30	into	into	ADP
fis-2233	51	31	deviatoric	deviatoric	ADJ
fis-2233	51	32	and	and	CCONJ
fis-2233	51	33	hydrostatic	hydrostatic	ADJ
fis-2233	51	34	tensors	tensor	NOUN
fis-2233	51	35	is	be	AUX
fis-2233	51	36	used	use	VERB
fis-2233	51	37	.	.	PUNCT
fis-2233	52	1	the	the	DET
fis-2233	52	2	definition	definition	NOUN
fis-2233	52	3	)	)	PUNCT
fis-2233	52	4	(	(	PUNCT
fis-2233	52	5	)	)	PUNCT
fis-2233	52	6	(	(	PUNCT
fis-2233	52	7	)	)	PUNCT
fis-2233	52	8	(	(	PUNCT
fis-2233	52	9	2	2	NUM
fis-2233	52	10	tttj	tttj	NOUN
fis-2233	52	11	ss	ss	PRON
fis-2233	52	12			PROPN
fis-2233	52	13	relates	relate	VERB
fis-2233	52	14	the	the	DET
fis-2233	52	15	second	second	ADJ
fis-2233	52	16	invariant	invariant	NOUN
fis-2233	52	17	to	to	ADP
fis-2233	52	18	the	the	DET
fis-2233	52	19	stress	stress	NOUN
fis-2233	52	20	vector	vector	NOUN
fis-2233	52	21	s(t)=(s1(t	s(t)=(s1(t	PROPN
fis-2233	52	22	)	)	PUNCT
fis-2233	52	23	,	,	PUNCT
fis-2233	52	24	s2(t	s2(t	PROPN
fis-2233	52	25	)	)	PUNCT
fis-2233	52	26	,	,	PUNCT
fis-2233	52	27	s3(t	s3(t	NUM
fis-2233	52	28	)	)	PUNCT
fis-2233	52	29	)	)	PUNCT
fis-2233	52	30	in	in	ADP
fis-2233	52	31	the	the	DET
fis-2233	52	32	threedimensional	threedimensional	ADJ
fis-2233	52	33	deviatoric	deviatoric	ADJ
fis-2233	52	34	space	space	NOUN
fis-2233	52	35	.	.	PUNCT
fis-2233	53	1	the	the	DET
fis-2233	53	2	following	follow	VERB
fis-2233	53	3	transformation	transformation	NOUN
fis-2233	53	4	rules	rule	NOUN
fis-2233	53	5	apply	apply	VERB
fis-2233	53	6	[	[	X
fis-2233	53	7	6	6	NUM
fis-2233	53	8	]	]	SYM
fis-2233	53	9	:	:	PUNCT
fis-2233	53	10			NOUN
fis-2233	53	11			PROPN
fis-2233	53	12	3	3	NUM
fis-2233	53	13	)	)	PUNCT
fis-2233	53	14	(	(	PUNCT
fis-2233	53	15	)	)	PUNCT
fis-2233	53	16	(	(	PUNCT
fis-2233	53	17	)	)	PUNCT
fis-2233	53	18	(	(	PUNCT
fis-2233	53	19	100	100	NUM
fis-2233	53	20	0	0	NUM
fis-2233	53	21	2	2	NUM
fis-2233	53	22	1	1	NUM
fis-2233	53	23	0	0	NUM
fis-2233	53	24	0	0	NUM
fis-2233	53	25	32	32	NUM
fis-2233	53	26	1	1	NUM
fis-2233	53	27	3	3	NUM
fis-2233	53	28	1	1	NUM
fis-2233	53	29	where	where	SCONJ
fis-2233	53	30	)	)	PUNCT
fis-2233	53	31	(	(	PUNCT
fis-2233	53	32	)	)	PUNCT
fis-2233	53	33	(	(	PUNCT
fis-2233	53	34	)	)	PUNCT
fis-2233	53	35	(	(	PUNCT
fis-2233	53	36	)	)	PUNCT
fis-2233	53	37	(	(	PUNCT
fis-2233	53	38	)	)	PUNCT
fis-2233	53	39	(	(	PUNCT
fis-2233	53	40	)	)	PUNCT
fis-2233	53	41	(	(	PUNCT
fis-2233	53	42	2	2	NUM
fis-2233	53	43	1	1	NUM
fis-2233	53	44	)	)	PUNCT
fis-2233	53	45	(	(	PUNCT
fis-2233	53	46	2	2	NUM
fis-2233	53	47	1	1	NUM
fis-2233	53	48	)	)	PUNCT
fis-2233	53	49	(	(	PUNCT
fis-2233	53	50	)	)	PUNCT
fis-2233	53	51	(	(	PUNCT
fis-2233	53	52	)	)	PUNCT
fis-2233	53	53	(	(	PUNCT
fis-2233	53	54	2	2	NUM
fis-2233	53	55	32	32	NUM
fis-2233	53	56	1	1	NUM
fis-2233	53	57	)	)	PUNCT
fis-2233	53	58	(	(	PUNCT
fis-2233	53	59	2	2	NUM
fis-2233	53	60	3	3	NUM
fis-2233	53	61	)	)	PUNCT
fis-2233	53	62	(	(	PUNCT
fis-2233	53	63	3	3	NUM
fis-2233	53	64	2	2	NUM
fis-2233	53	65	1	1	NUM
fis-2233	53	66	tt	tt	PROPN
fis-2233	53	67	t	t	NOUN
fis-2233	53	68	tt	tt	PROPN
fis-2233	53	69	ttts	ttts	PROPN
fis-2233	53	70	ttts	ttts	PROPN
fis-2233	53	71	tttts	tttt	VERB
fis-2233	53	72	yyxx	yyxx	PROPN
fis-2233	53	73	h	h	PROPN
fis-2233	53	74	xyxy	xyxy	PROPN
fis-2233	53	75	yyyy	yyyy	PROPN
fis-2233	53	76	yyxxxx	yyxxxx	PROPN
fis-2233	53	77			NOUN
fis-2233	53	78			X
fis-2233	53	79			X
fis-2233	53	80			X
fis-2233	53	81			PROPN
fis-2233	53	82			ADV
fis-2233	53	83			ADJ
fis-2233	53	84			PROPN
fis-2233	53	85			PROPN
fis-2233	54	1			PUNCT
fis-2233	54	2			PUNCT
fis-2233	55	1			NOUN
fis-2233	55	2			PROPN
fis-2233	55	3			PROPN
fis-2233	55	4			X
fis-2233	55	5			NOUN
fis-2233	55	6			NOUN
fis-2233	55	7			NOUN
fis-2233	55	8			NOUN
fis-2233	55	9			NOUN
fis-2233	55	10			NOUN
fis-2233	55	11			VERB
fis-2233	55	12			PROPN
fis-2233	55	13			NOUN
fis-2233	55	14			AUX
fis-2233	55	15			SYM
fis-2233	55	16			NUM
fis-2233	55	17			NUM
fis-2233	55	18			PROPN
fis-2233	55	19			NUM
fis-2233	55	20			NUM
fis-2233	55	21			NUM
fis-2233	55	22			NUM
fis-2233	55	23			NOUN
fis-2233	55	24			PROPN
fis-2233	55	25			PROPN
fis-2233	55	26			PROPN
fis-2233	55	27	axas	axas	NOUN
fis-2233	55	28	(	(	PUNCT
fis-2233	55	29	3	3	NUM
fis-2233	55	30	)	)	PUNCT
fis-2233	55	31	expressions	expression	NOUN
fis-2233	55	32	(	(	PUNCT
fis-2233	55	33	3	3	X
fis-2233	55	34	)	)	PUNCT
fis-2233	55	35	allow	allow	VERB
fis-2233	55	36	both	both	CCONJ
fis-2233	55	37	the	the	DET
fis-2233	55	38	hydrostatic	hydrostatic	ADJ
fis-2233	55	39	and	and	CCONJ
fis-2233	55	40	deviatoric	deviatoric	ADJ
fis-2233	55	41	stress	stress	NOUN
fis-2233	55	42	components	component	NOUN
fis-2233	55	43	to	to	PART
fis-2233	55	44	be	be	AUX
fis-2233	55	45	directly	directly	ADV
fis-2233	55	46	computed	compute	VERB
fis-2233	55	47	from	from	ADP
fis-2233	55	48	the	the	DET
fis-2233	55	49	stress	stress	NOUN
fis-2233	55	50	vector	vector	NOUN
fis-2233	55	51	x(t	x(t	PROPN
fis-2233	55	52	)	)	PUNCT
fis-2233	55	53	in	in	ADP
fis-2233	55	54	the	the	DET
fis-2233	55	55	physical	physical	ADJ
fis-2233	55	56	space	space	NOUN
fis-2233	55	57	.	.	PUNCT
fis-2233	56	1	when	when	SCONJ
fis-2233	56	2	the	the	DET
fis-2233	56	3	stress	stress	NOUN
fis-2233	56	4	tensor	tensor	NOUN
fis-2233	56	5	σ(t	σ(t	PROPN
fis-2233	56	6	)	)	PUNCT
fis-2233	56	7	changes	change	NOUN
fis-2233	56	8	over	over	ADP
fis-2233	56	9	time	time	NOUN
fis-2233	56	10	,	,	PUNCT
fis-2233	56	11	the	the	DET
fis-2233	56	12	tip	tip	NOUN
fis-2233	56	13	of	of	ADP
fis-2233	56	14	vector	vector	NOUN
fis-2233	56	15	s(t	s(t	PROPN
fis-2233	56	16	)	)	PUNCT
fis-2233	56	17	describes	describe	VERB
fis-2233	56	18	a	a	DET
fis-2233	56	19	curve	curve	NOUN
fis-2233	56	20	(	(	PUNCT
fis-2233	56	21	loading	loading	NOUN
fis-2233	56	22	path	path	NOUN
fis-2233	56	23			PROPN
fis-2233	56	24	)	)	PUNCT
fis-2233	56	25	in	in	ADP
fis-2233	56	26	the	the	DET
fis-2233	56	27	deviatoric	deviatoric	ADJ
fis-2233	56	28	space	space	NOUN
fis-2233	56	29	.	.	PUNCT
fis-2233	57	1	in	in	ADP
fis-2233	57	2	a	a	DET
fis-2233	57	3	time	time	NOUN
fis-2233	57	4	-	-	PUNCT
fis-2233	57	5	domain	domain	NOUN
fis-2233	57	6	approach	approach	NOUN
fis-2233	57	7	,	,	PUNCT
fis-2233	57	8	conventional	conventional	ADJ
fis-2233	57	9	definitions	definition	NOUN
fis-2233	57	10	(	(	PUNCT
fis-2233	57	11	e.g.	e.g.	ADV
fis-2233	57	12	longest	long	ADJ
fis-2233	57	13	chord	chord	NOUN
fis-2233	57	14	,	,	PUNCT
fis-2233	57	15	minimum	minimum	ADJ
fis-2233	57	16	circumscribed	circumscribe	VERB
fis-2233	57	17	circle	circle	NOUN
fis-2233	57	18	,	,	PUNCT
fis-2233	57	19	etc	etc	X
fis-2233	57	20	.	.	X
fis-2233	58	1	[	[	X
fis-2233	58	2	6	6	NUM
fis-2233	58	3	]	]	PUNCT
fis-2233	58	4	)	)	PUNCT
fis-2233	58	5	are	be	AUX
fis-2233	58	6	used	use	VERB
fis-2233	58	7	to	to	PART
fis-2233	58	8	identify	identify	VERB
fis-2233	58	9	the	the	DET
fis-2233	58	10	amplitude	amplitude	NOUN
fis-2233	58	11	a2,j	a2,j	PROPN
fis-2233	58	12	of	of	ADP
fis-2233	58	13	the	the	DET
fis-2233	58	14	loading	loading	NOUN
fis-2233	58	15	path	path	NOUN
fis-2233	58	16	.	.	PUNCT
fis-2233	59	1	in	in	ADP
fis-2233	59	2	a	a	DET
fis-2233	59	3	frequency	frequency	NOUN
fis-2233	59	4	-	-	PUNCT
fis-2233	59	5	domain	domain	NOUN
fis-2233	59	6	approach	approach	NOUN
fis-2233	59	7	,	,	PUNCT
fis-2233	59	8	this	this	DET
fis-2233	59	9	time	time	NOUN
fis-2233	59	10	-	-	PUNCT
fis-2233	59	11	domain	domain	NOUN
fis-2233	59	12	procedure	procedure	NOUN
fis-2233	59	13	is	be	AUX
fis-2233	59	14	replaced	replace	VERB
fis-2233	59	15	by	by	ADP
fis-2233	59	16	a	a	DET
fis-2233	59	17	spectral	spectral	ADJ
fis-2233	59	18	characterization	characterization	NOUN
fis-2233	59	19	of	of	ADP
fis-2233	59	20	the	the	DET
fis-2233	59	21	stress	stress	NOUN
fis-2233	59	22	quantities	quantity	NOUN
fis-2233	59	23	in	in	ADP
fis-2233	59	24	eq	eq	ADP
fis-2233	59	25	.	.	PUNCT
fis-2233	60	1	(	(	PUNCT
fis-2233	60	2	3	3	NUM
fis-2233	60	3	)	)	PUNCT
fis-2233	60	4	.	.	PUNCT
fis-2233	61	1	as	as	ADP
fis-2233	61	2	a	a	DET
fis-2233	61	3	first	first	ADJ
fis-2233	61	4	step	step	NOUN
fis-2233	61	5	,	,	PUNCT
fis-2233	61	6	the	the	DET
fis-2233	61	7	correlation	correlation	NOUN
fis-2233	61	8	matrix	matrix	NOUN
fis-2233	61	9	of	of	ADP
fis-2233	61	10	s(t	s(t	PROPN
fis-2233	61	11	)	)	PUNCT
fis-2233	61	12	is	be	AUX
fis-2233	61	13	defined	define	VERB
fis-2233	61	14	as	as	ADP
fis-2233	61	15	:	:	PUNCT
fis-2233	61	16			NOUN
fis-2233	61	17			SYM
fis-2233	61	18			NOUN
fis-2233	61	19			NOUN
fis-2233	61	20			PUNCT
fis-2233	61	21			NOUN
fis-2233	61	22	tttt	tttt	PROPN
fis-2233	61	23	ttette	ttette	PROPN
fis-2233	61	24	araaxxassr	araaxxassr	PROPN
fis-2233	61	25	'	'	PART
fis-2233	61	26			ADJ
fis-2233	61	27	)	)	PUNCT
fis-2233	61	28	(	(	PUNCT
fis-2233	61	29	)	)	PUNCT
fis-2233	61	30	(	(	PUNCT
fis-2233	61	31	)	)	PUNCT
fis-2233	61	32	(	(	PUNCT
fis-2233	61	33	)	)	PUNCT
fis-2233	61	34	(	(	PUNCT
fis-2233	61	35	)	)	PUNCT
fis-2233	61	36	(	(	PUNCT
fis-2233	61	37	)	)	PUNCT
fis-2233	61	38	(	(	PUNCT
fis-2233	61	39			NOUN
fis-2233	61	40	(	(	PUNCT
fis-2233	61	41	4	4	NUM
fis-2233	61	42	)	)	PUNCT
fis-2233	61	43	where	where	SCONJ
fis-2233	61	44	r(	r(	NOUN
fis-2233	61	45	)	)	PUNCT
fis-2233	61	46	is	be	AUX
fis-2233	61	47	the	the	DET
fis-2233	61	48	correlation	correlation	NOUN
fis-2233	61	49	matrix	matrix	NOUN
fis-2233	61	50	of	of	ADP
fis-2233	61	51	x(t	x(t	PROPN
fis-2233	61	52	)	)	PUNCT
fis-2233	61	53	,	,	PUNCT
fis-2233	61	54	with	with	ADP
fis-2233	61	55			NUM
fis-2233	61	56	a	a	DET
fis-2233	61	57	time	time	NOUN
fis-2233	61	58	lag	lag	NOUN
fis-2233	61	59	(	(	PUNCT
fis-2233	61	60	see	see	VERB
fis-2233	61	61	appendix	appendix	NOUN
fis-2233	61	62	a	a	PRON
fis-2233	61	63	)	)	PUNCT
fis-2233	61	64	.	.	PUNCT
fis-2233	62	1	the	the	DET
fis-2233	62	2	(	(	PUNCT
fis-2233	62	3	symmetric	symmetric	ADJ
fis-2233	62	4	)	)	PUNCT
fis-2233	62	5	covariance	covariance	NOUN
fis-2233	62	6	matrix	matrix	NOUN
fis-2233	62	7	of	of	ADP
fis-2233	62	8	s(t	s(t	PROPN
fis-2233	62	9	)	)	PUNCT
fis-2233	62	10	results	result	NOUN
fis-2233	62	11	in	in	ADP
fis-2233	62	12	the	the	DET
fis-2233	62	13	special	special	ADJ
fis-2233	62	14	case	case	NOUN
fis-2233	62	15	=0	=0	NOUN
fis-2233	62	16	:	:	PUNCT
fis-2233	62	17			ADJ
fis-2233	62	18			NOUN
fis-2233	62	19			NOUN
fis-2233	62	20			PROPN
fis-2233	62	21			PROPN
fis-2233	62	22			PROPN
fis-2233	62	23			X
fis-2233	62	24			NOUN
fis-2233	62	25			NOUN
fis-2233	62	26			NOUN
fis-2233	62	27			NOUN
fis-2233	62	28			PROPN
fis-2233	62	29			NOUN
fis-2233	62	30	33	33	NUM
fis-2233	62	31	2322	2322	NUM
fis-2233	62	32	131211	131211	NUM
fis-2233	62	33	'	'	PUNCT
fis-2233	62	34	sym	sym	NOUN
fis-2233	62	35	''	''	PUNCT
fis-2233	62	36	'	'	PUNCT
fis-2233	62	37	''	''	PUNCT
fis-2233	62	38	'	'	PUNCT
fis-2233	62	39	)	)	PUNCT
fis-2233	62	40	(	(	PUNCT
fis-2233	62	41	)	)	PUNCT
fis-2233	62	42	(	(	PUNCT
fis-2233	62	43	c	c	X
fis-2233	62	44	cc	cc	PROPN
fis-2233	62	45	ccc	ccc	PROPN
fis-2233	62	46	tte	tte	PROPN
fis-2233	62	47	tt	tt	PROPN
fis-2233	62	48	cacassc	cacassc	PROPN
fis-2233	62	49	(	(	PUNCT
fis-2233	62	50	5	5	X
fis-2233	62	51	)	)	PUNCT
fis-2233	62	52	d.	d.	PROPN
fis-2233	62	53	benasciutti	benasciutti	PROPN
fis-2233	62	54	et	et	PROPN
fis-2233	62	55	alii	alii	PROPN
fis-2233	62	56	,	,	PUNCT
fis-2233	62	57	frattura	frattura	PROPN
fis-2233	62	58	ed	ed	PROPN
fis-2233	62	59	integrità	integrità	PROPN
fis-2233	62	60	strutturale	strutturale	PROPN
fis-2233	62	61	,	,	PUNCT
fis-2233	62	62	47	47	NUM
fis-2233	62	63	(	(	PUNCT
fis-2233	62	64	2019	2019	NUM
fis-2233	62	65	)	)	PUNCT
fis-2233	62	66	348	348	NUM
fis-2233	62	67	-	-	SYM
fis-2233	62	68	366	366	NUM
fis-2233	62	69	;	;	PUNCT
fis-2233	62	70	doi	doi	NOUN
fis-2233	62	71	:	:	PUNCT
fis-2233	62	72	10.3221	10.3221	NUM
fis-2233	62	73	/	/	SYM
fis-2233	62	74	igf	igf	PROPN
fis-2233	62	75	-	-	ADJ
fis-2233	62	76	esis.47.26	esis.47.26	ADJ
fis-2233	62	77	351	351	NUM
fis-2233	62	78	where	where	SCONJ
fis-2233	62	79	c	c	NOUN
fis-2233	62	80	=	=	SYM
fis-2233	62	81	r(	r(	NOUN
fis-2233	62	82	)	)	PUNCT
fis-2233	62	83	is	be	AUX
fis-2233	62	84	the	the	DET
fis-2233	62	85	covariance	covariance	NOUN
fis-2233	62	86	matrix	matrix	NOUN
fis-2233	62	87	of	of	ADP
fis-2233	62	88	x(t	x(t	PROPN
fis-2233	62	89	)	)	PUNCT
fis-2233	62	90	,	,	PUNCT
fis-2233	62	91	see	see	VERB
fis-2233	62	92	eq	eq	ADP
fis-2233	62	93	.	.	PUNCT
fis-2233	63	1	(	(	PUNCT
fis-2233	63	2	2	2	NUM
fis-2233	63	3	)	)	PUNCT
fis-2233	63	4	.	.	PUNCT
fis-2233	64	1	similarly	similarly	ADV
fis-2233	64	2	to	to	ADP
fis-2233	64	3	x(t	x(t	PROPN
fis-2233	64	4	)	)	PUNCT
fis-2233	64	5	,	,	PUNCT
fis-2233	64	6	the	the	DET
fis-2233	64	7	psd	psd	PROPN
fis-2233	64	8	matrix	matrix	NOUN
fis-2233	64	9	s'(f	s'(f	VERB
fis-2233	64	10	)	)	PUNCT
fis-2233	64	11	of	of	ADP
fis-2233	64	12	vector	vector	NOUN
fis-2233	64	13	s(t	s(t	PROPN
fis-2233	64	14	)	)	PUNCT
fis-2233	64	15	is	be	AUX
fis-2233	64	16	the	the	DET
fis-2233	64	17	fourier	fourier	ADJ
fis-2233	64	18	transform	transform	NOUN
fis-2233	64	19	of	of	ADP
fis-2233	64	20	the	the	DET
fis-2233	64	21	correlation	correlation	NOUN
fis-2233	64	22	matrix	matrix	NOUN
fis-2233	64	23	r'(	r'(	NOUN
fis-2233	64	24	)	)	PUNCT
fis-2233	64	25	in	in	ADP
fis-2233	64	26	eq	eq	ADP
fis-2233	64	27	.	.	PUNCT
fis-2233	65	1	(	(	PUNCT
fis-2233	65	2	4	4	NUM
fis-2233	65	3	):	):	PUNCT
fis-2233	65	4			NOUN
fis-2233	65	5			PUNCT
fis-2233	65	6			PROPN
fis-2233	65	7			PROPN
fis-2233	65	8			PROPN
fis-2233	65	9			PROPN
fis-2233	65	10			PROPN
fis-2233	65	11			PROPN
fis-2233	65	12			PROPN
fis-2233	65	13			PROPN
fis-2233	65	14	tt	tt	PROPN
fis-2233	65	15	)	)	PUNCT
fis-2233	65	16	(	(	PUNCT
fis-2233	65	17	)	)	PUNCT
fis-2233	65	18	(	(	PUNCT
fis-2233	65	19	)	)	PUNCT
fis-2233	65	20	(	(	PUNCT
fis-2233	65	21	'	'	PUNCT
fis-2233	65	22	asaaraarar	asaaraarar	PROPN
fis-2233	65	23	's	's	PART
fis-2233	65	24			PRON
fis-2233	65	25	ff	ff	PROPN
fis-2233	65	26	t	t	PROPN
fis-2233	65	27			NOUN
fis-2233	65	28	(	(	PUNCT
fis-2233	65	29	6	6	NUM
fis-2233	65	30	)	)	PUNCT
fis-2233	65	31	the	the	DET
fis-2233	65	32	previous	previous	ADJ
fis-2233	65	33	result	result	NOUN
fis-2233	65	34	yields	yield	NOUN
fis-2233	65	35	by	by	ADP
fis-2233	65	36	the	the	DET
fis-2233	65	37	fact	fact	NOUN
fis-2233	65	38	that	that	SCONJ
fis-2233	65	39	the	the	DET
fis-2233	65	40	fourier	fourier	NOUN
fis-2233	65	41	transform	transform	VERB
fis-2233	65	42			PROPN
fis-2233	65	43			PROPN
fis-2233	65	44	is	be	AUX
fis-2233	65	45	a	a	DET
fis-2233	65	46	linear	linear	ADJ
fis-2233	65	47	operator	operator	NOUN
fis-2233	65	48	and	and	CCONJ
fis-2233	65	49	a	a	PRON
fis-2233	65	50	is	be	AUX
fis-2233	65	51	a	a	DET
fis-2233	65	52	matrix	matrix	NOUN
fis-2233	65	53	of	of	ADP
fis-2233	65	54	constants	constant	NOUN
fis-2233	65	55	.	.	PUNCT
fis-2233	66	1	by	by	ADP
fis-2233	66	2	following	follow	VERB
fis-2233	66	3	the	the	DET
fis-2233	66	4	same	same	ADJ
fis-2233	66	5	procedure	procedure	NOUN
fis-2233	66	6	,	,	PUNCT
fis-2233	66	7	it	it	PRON
fis-2233	66	8	is	be	AUX
fis-2233	66	9	straightforward	straightforward	ADJ
fis-2233	66	10	to	to	PART
fis-2233	66	11	find	find	VERB
fis-2233	66	12	the	the	DET
fis-2233	66	13	psd	psd	NOUN
fis-2233	66	14	expression	expression	NOUN
fis-2233	66	15	of	of	ADP
fis-2233	66	16	the	the	DET
fis-2233	66	17	hydrostatic	hydrostatic	ADJ
fis-2233	66	18	stress	stress	NOUN
fis-2233	66	19	σh(t	σh(t	NUM
fis-2233	66	20	):	):	PUNCT
fis-2233	66	21			PROPN
fis-2233	66	22			NOUN
fis-2233	66	23	)(re2	)(re2	NOUN
fis-2233	66	24	)	)	PUNCT
fis-2233	66	25	(	(	PUNCT
fis-2233	66	26	)	)	PUNCT
fis-2233	66	27	(	(	PUNCT
fis-2233	66	28	9	9	NUM
fis-2233	66	29	1	1	NUM
fis-2233	66	30	)	)	PUNCT
fis-2233	66	31	(	(	PUNCT
fis-2233	66	32	,	,	PUNCT
fis-2233	66	33	h	h	NOUN
fis-2233	67	1	fsfsfsfs	fsfsfsfs	INTJ
fis-2233	67	2	yyxxyyxx	yyxxyyxx	PROPN
fis-2233	67	3			PROPN
fis-2233	67	4	(	(	PUNCT
fis-2233	67	5	7	7	X
fis-2233	67	6	)	)	PUNCT
fis-2233	67	7	its	its	PRON
fis-2233	67	8	zero	zero	NUM
fis-2233	67	9	-	-	PUNCT
fis-2233	67	10	order	order	NOUN
fis-2233	67	11	spectral	spectral	ADJ
fis-2233	67	12	moment	moment	NOUN
fis-2233	67	13	(	(	PUNCT
fis-2233	67	14	i.e.	i.e.	X
fis-2233	67	15	area	area	NOUN
fis-2233	67	16	of	of	ADP
fis-2233	67	17	sh	sh	PROPN
fis-2233	67	18	(	(	PUNCT
fis-2233	67	19	f	f	PROPN
fis-2233	67	20	)	)	PUNCT
fis-2233	67	21	)	)	PUNCT
fis-2233	67	22	gives	give	VERB
fis-2233	67	23	the	the	DET
fis-2233	67	24	variance	variance	NOUN
fis-2233	67	25	:	:	PUNCT
fis-2233	67	26			NOUN
fis-2233	67	27			SYM
fis-2233	67	28			PROPN
fis-2233	68	1	yyxxyyxxhh	yyxxyyxxhh	PROPN
fis-2233	68	2	cvvtvarv	cvvtvarv	NOUN
fis-2233	68	3	,	,	PUNCT
fis-2233	68	4	2	2	NUM
fis-2233	68	5	9	9	NUM
fis-2233	68	6	1	1	NUM
fis-2233	68	7	)	)	PUNCT
fis-2233	68	8	(	(	PUNCT
fis-2233	68	9			PROPN
fis-2233	68	10			X
fis-2233	68	11	(	(	PUNCT
fis-2233	68	12	8)	8)	NUM
fis-2233	68	13	expressions	expression	NOUN
fis-2233	68	14	(	(	PUNCT
fis-2233	68	15	6)-(7	6)-(7	NOUN
fis-2233	68	16	)	)	PUNCT
fis-2233	68	17	characterize	characterize	VERB
fis-2233	68	18	the	the	DET
fis-2233	68	19	deviatoric	deviatoric	ADJ
fis-2233	68	20	and	and	CCONJ
fis-2233	68	21	hydrostatic	hydrostatic	ADJ
fis-2233	68	22	stress	stress	NOUN
fis-2233	68	23	in	in	ADP
fis-2233	68	24	the	the	DET
fis-2233	68	25	frequency	frequency	NOUN
fis-2233	68	26	-	-	PUNCT
fis-2233	68	27	domain	domain	NOUN
fis-2233	68	28	completely	completely	ADV
fis-2233	68	29	.	.	PUNCT
fis-2233	69	1	analysis	analysis	NOUN
fis-2233	69	2	steps	step	NOUN
fis-2233	69	3	of	of	ADP
fis-2233	69	4	the	the	DET
fis-2233	69	5	pbp	pbp	NOUN
fis-2233	69	6	criterion	criterion	NOUN
fis-2233	69	7	his	his	PRON
fis-2233	69	8	section	section	NOUN
fis-2233	69	9	summarizes	summarize	VERB
fis-2233	69	10	the	the	DET
fis-2233	69	11	main	main	ADJ
fis-2233	69	12	analysis	analysis	NOUN
fis-2233	69	13	steps	step	NOUN
fis-2233	69	14	to	to	PART
fis-2233	69	15	be	be	AUX
fis-2233	69	16	followed	follow	VERB
fis-2233	69	17	when	when	SCONJ
fis-2233	69	18	implementing	implement	VERB
fis-2233	69	19	the	the	DET
fis-2233	69	20	pbp	pbp	NOUN
fis-2233	69	21	criterion	criterion	NOUN
fis-2233	69	22	(	(	PUNCT
fis-2233	69	23	see	see	VERB
fis-2233	69	24	fig	fig	NOUN
fis-2233	69	25	.	.	PUNCT
fis-2233	70	1	1	1	NUM
fis-2233	70	2	)	)	PUNCT
fis-2233	70	3	.	.	PUNCT
fis-2233	71	1	if	if	SCONJ
fis-2233	71	2	the	the	DET
fis-2233	71	3	pbp	pbp	NOUN
fis-2233	71	4	method	method	NOUN
fis-2233	71	5	is	be	AUX
fis-2233	71	6	applied	apply	VERB
fis-2233	71	7	to	to	ADP
fis-2233	71	8	the	the	DET
fis-2233	71	9	output	output	NOUN
fis-2233	71	10	of	of	ADP
fis-2233	71	11	a	a	DET
fis-2233	71	12	fe	fe	NOUN
fis-2233	71	13	analysis	analysis	NOUN
fis-2233	71	14	,	,	PUNCT
fis-2233	71	15	the	the	DET
fis-2233	71	16	steps	step	NOUN
fis-2233	71	17	have	have	VERB
fis-2233	71	18	to	to	PART
fis-2233	71	19	be	be	AUX
fis-2233	71	20	repeated	repeat	VERB
fis-2233	71	21	for	for	ADP
fis-2233	71	22	each	each	DET
fis-2233	71	23	nodal	nodal	NOUN
fis-2233	71	24	result	result	NOUN
fis-2233	71	25	in	in	ADP
fis-2233	71	26	the	the	DET
fis-2233	71	27	model	model	NOUN
fis-2233	71	28	.	.	PUNCT
fis-2233	72	1	the	the	DET
fis-2233	72	2	input	input	NOUN
fis-2233	72	3	data	datum	NOUN
fis-2233	72	4	required	require	VERB
fis-2233	72	5	by	by	ADP
fis-2233	72	6	the	the	DET
fis-2233	72	7	analysis	analysis	NOUN
fis-2233	72	8	are	be	AUX
fis-2233	72	9	:	:	PUNCT
fis-2233	72	10			NOUN
fis-2233	72	11	psd	psd	PROPN
fis-2233	72	12	matrix	matrix	NOUN
fis-2233	72	13	s(f	s(f	PROPN
fis-2233	72	14	)	)	PUNCT
fis-2233	72	15	of	of	ADP
fis-2233	72	16	the	the	DET
fis-2233	72	17	biaxial	biaxial	ADJ
fis-2233	72	18	stress	stress	NOUN
fis-2233	72	19	(	(	PUNCT
fis-2233	72	20	σx(t	σx(t	NOUN
fis-2233	72	21	)	)	PUNCT
fis-2233	72	22	,	,	PUNCT
fis-2233	72	23	σy(t	σy(t	PROPN
fis-2233	72	24	)	)	PUNCT
fis-2233	72	25	,	,	PUNCT
fis-2233	72	26	τxy(t	τxy(t	PROPN
fis-2233	72	27	)	)	PUNCT
fis-2233	72	28	)	)	PUNCT
fis-2233	72	29	,	,	PUNCT
fis-2233	72	30	along	along	ADP
fis-2233	72	31	with	with	ADP
fis-2233	72	32	the	the	DET
fis-2233	72	33	covariance	covariance	NOUN
fis-2233	72	34	matrix	matrix	NOUN
fis-2233	72	35	c	c	NOUN
fis-2233	72	36	in	in	ADP
fis-2233	72	37	eq	eq	ADP
fis-2233	72	38	.	.	PUNCT
fis-2233	73	1	(	(	PUNCT
fis-2233	73	2	2	2	X
fis-2233	73	3	)	)	PUNCT
fis-2233	73	4	calculated	calculate	VERB
fis-2233	73	5	from	from	ADP
fis-2233	73	6	s(f	s(f	PROPN
fis-2233	73	7	)	)	PUNCT
fis-2233	73	8	.	.	PUNCT
fis-2233	74	1	the	the	DET
fis-2233	74	2	stress	stress	NOUN
fis-2233	74	3	may	may	AUX
fis-2233	74	4	refer	refer	VERB
fis-2233	74	5	to	to	ADP
fis-2233	74	6	a	a	DET
fis-2233	74	7	physical	physical	ADJ
fis-2233	74	8	point	point	NOUN
fis-2233	74	9	in	in	ADP
fis-2233	74	10	a	a	DET
fis-2233	74	11	structure	structure	NOUN
fis-2233	74	12	,	,	PUNCT
fis-2233	74	13	or	or	CCONJ
fis-2233	74	14	to	to	ADP
fis-2233	74	15	a	a	DET
fis-2233	74	16	node	node	NOUN
fis-2233	74	17	in	in	ADP
fis-2233	74	18	a	a	DET
fis-2233	74	19	fe	fe	NOUN
fis-2233	74	20	model	model	NOUN
fis-2233	74	21	(	(	PUNCT
fis-2233	74	22	in	in	ADP
fis-2233	74	23	which	which	PRON
fis-2233	74	24	case	case	NOUN
fis-2233	74	25	matrix	matrix	NOUN
fis-2233	74	26	s(f	s(f	PROPN
fis-2233	74	27	)	)	PUNCT
fis-2233	74	28	is	be	AUX
fis-2233	74	29	output	output	NOUN
fis-2233	74	30	directly	directly	ADV
fis-2233	74	31	by	by	ADP
fis-2233	74	32	a	a	DET
fis-2233	74	33	fe	fe	NOUN
fis-2233	74	34	analysis	analysis	NOUN
fis-2233	74	35	)	)	PUNCT
fis-2233	74	36	.	.	PUNCT
fis-2233	75	1	if	if	SCONJ
fis-2233	75	2	s(f	s(f	PROPN
fis-2233	75	3	)	)	PUNCT
fis-2233	75	4	is	be	AUX
fis-2233	75	5	not	not	PART
fis-2233	75	6	known	know	VERB
fis-2233	75	7	,	,	PUNCT
fis-2233	75	8	it	it	PRON
fis-2233	75	9	may	may	AUX
fis-2233	75	10	be	be	AUX
fis-2233	75	11	estimated	estimate	VERB
fis-2233	75	12	from	from	ADP
fis-2233	75	13	measured	measure	VERB
fis-2233	75	14	time	time	NOUN
fis-2233	75	15	-	-	PUNCT
fis-2233	75	16	histories	history	NOUN
fis-2233	75	17	;	;	PUNCT
fis-2233	75	18			PRON
fis-2233	75	19	parameters	parameter	NOUN
fis-2233	75	20	of	of	ADP
fis-2233	75	21	tension	tension	NOUN
fis-2233	75	22	and	and	CCONJ
fis-2233	75	23	torsion	torsion	NOUN
fis-2233	75	24	s	s	NOUN
fis-2233	75	25	-	-	PUNCT
fis-2233	75	26	n	n	PRON
fis-2233	75	27	curves	curve	NOUN
fis-2233	75	28	:	:	PUNCT
fis-2233	75	29	strength	strength	NOUN
fis-2233	75	30	amplitudes	amplitude	NOUN
fis-2233	75	31	σa	σa	PROPN
fis-2233	75	32	,	,	PUNCT
fis-2233	75	33	τa	τa	VERB
fis-2233	75	34	at	at	ADP
fis-2233	75	35	na=2106	na=2106	PROPN
fis-2233	75	36	cycles	cycle	NOUN
fis-2233	75	37	and	and	CCONJ
fis-2233	75	38	inverse	inverse	NOUN
fis-2233	75	39	slopes	slope	NOUN
fis-2233	75	40	kσ	kσ	PROPN
fis-2233	75	41	,	,	PUNCT
fis-2233	75	42	kτ	kτ	PROPN
fis-2233	75	43	.	.	PUNCT
fis-2233	76	1	the	the	DET
fis-2233	76	2	s	s	PROPN
fis-2233	76	3	-	-	PUNCT
fis-2233	76	4	n	n	PRON
fis-2233	76	5	lines	line	NOUN
fis-2233	76	6	may	may	AUX
fis-2233	76	7	represent	represent	VERB
fis-2233	76	8	design	design	NOUN
fis-2233	76	9	curves	curve	NOUN
fis-2233	76	10	at	at	ADP
fis-2233	76	11	prescribed	prescribed	ADJ
fis-2233	76	12	survival	survival	NOUN
fis-2233	76	13	probability	probability	NOUN
fis-2233	76	14	(	(	PUNCT
fis-2233	76	15	97.7	97.7	NUM
fis-2233	76	16	%	%	NOUN
fis-2233	76	17	)	)	PUNCT
fis-2233	76	18	.	.	PUNCT
fis-2233	77	1	figure	figure	VERB
fis-2233	77	2	1	1	NUM
fis-2233	77	3	:	:	PUNCT
fis-2233	77	4	analysis	analysis	NOUN
fis-2233	77	5	steps	step	NOUN
fis-2233	77	6	and	and	CCONJ
fis-2233	77	7	quantities	quantity	NOUN
fis-2233	77	8	involved	involve	VERB
fis-2233	77	9	by	by	ADP
fis-2233	77	10	the	the	DET
fis-2233	77	11	pbp	pbp	NOUN
fis-2233	77	12	spectral	spectral	ADJ
fis-2233	77	13	method	method	NOUN
fis-2233	77	14	in	in	ADP
fis-2233	77	15	frequency	frequency	NOUN
fis-2233	77	16	-	-	PUNCT
fis-2233	77	17	domain	domain	NOUN
fis-2233	77	18	.	.	PUNCT
fis-2233	78	1	step	step	NOUN
fis-2233	78	2	1	1	NUM
fis-2233	78	3	–	–	PUNCT
fis-2233	78	4	from	from	ADP
fis-2233	78	5	stress	stress	NOUN
fis-2233	78	6	vector	vector	NOUN
fis-2233	78	7	to	to	ADP
fis-2233	78	8	deviatoric	deviatoric	VERB
fis-2233	78	9	/	/	SYM
fis-2233	78	10	hydrostatic	hydrostatic	ADJ
fis-2233	78	11	stress	stress	NOUN
fis-2233	78	12	the	the	DET
fis-2233	78	13	first	first	ADJ
fis-2233	78	14	step	step	NOUN
fis-2233	78	15	is	be	AUX
fis-2233	78	16	to	to	PART
fis-2233	78	17	characterize	characterize	VERB
fis-2233	78	18	the	the	DET
fis-2233	78	19	stress	stress	NOUN
fis-2233	78	20	vector	vector	NOUN
fis-2233	78	21	s(t	s(t	PROPN
fis-2233	78	22	)	)	PUNCT
fis-2233	78	23	by	by	ADP
fis-2233	78	24	its	its	PRON
fis-2233	78	25	psd	psd	NOUN
fis-2233	78	26	matrix	matrix	NOUN
fis-2233	78	27	s'(f	s'(f	VERB
fis-2233	78	28	)	)	PUNCT
fis-2233	78	29	in	in	ADP
fis-2233	78	30	eq	eq	ADP
fis-2233	78	31	.	.	PUNCT
fis-2233	79	1	(	(	PUNCT
fis-2233	79	2	6	6	NUM
fis-2233	79	3	)	)	PUNCT
fis-2233	79	4	,	,	PUNCT
fis-2233	79	5	and	and	CCONJ
fis-2233	79	6	by	by	ADP
fis-2233	79	7	its	its	PRON
fis-2233	79	8	covariance	covariance	NOUN
fis-2233	79	9	matrix	matrix	NOUN
fis-2233	79	10	c	c	NOUN
fis-2233	79	11	'	'	PUNCT
fis-2233	79	12	,	,	PUNCT
fis-2233	79	13	see	see	VERB
fis-2233	79	14	eq	eq	NOUN
fis-2233	79	15	.	.	PUNCT
fis-2233	80	1	(	(	PUNCT
fis-2233	80	2	5	5	NUM
fis-2233	80	3	)	)	PUNCT
fis-2233	80	4	or	or	CCONJ
fis-2233	80	5	equivalently	equivalently	ADV
fis-2233	80	6	compute	compute	VERB
fis-2233	80	7	c	c	NOUN
fis-2233	80	8	'	'	PUNCT
fis-2233	80	9	from	from	ADP
fis-2233	80	10	s'(f	s'(f	ADJ
fis-2233	80	11	)	)	PUNCT
fis-2233	80	12	.	.	PUNCT
fis-2233	81	1	then	then	ADV
fis-2233	81	2	,	,	PUNCT
fis-2233	81	3	characterize	characterize	VERB
fis-2233	81	4	the	the	DET
fis-2233	81	5	hydrostatic	hydrostatic	ADJ
fis-2233	81	6	stress	stress	NOUN
fis-2233	81	7	σh(t	σh(t	PUNCT
fis-2233	81	8	)	)	PUNCT
fis-2233	81	9	by	by	ADP
fis-2233	81	10	its	its	PRON
fis-2233	81	11	power	power	NOUN
fis-2233	81	12	spectrum	spectrum	NOUN
fis-2233	81	13	sh(f	sh(f	PRON
fis-2233	81	14	)	)	PUNCT
fis-2233	81	15	in	in	ADP
fis-2233	81	16	eq	eq	ADP
fis-2233	81	17	.	.	PUNCT
fis-2233	82	1	(	(	PUNCT
fis-2233	82	2	7	7	NUM
fis-2233	82	3	)	)	PUNCT
fis-2233	82	4	,	,	PUNCT
fis-2233	82	5	and	and	CCONJ
fis-2233	82	6	by	by	ADP
fis-2233	82	7	its	its	PRON
fis-2233	82	8	variance	variance	NOUN
fis-2233	82	9	vh	vh	NOUN
fis-2233	82	10	,	,	PUNCT
fis-2233	82	11	see	see	VERB
fis-2233	82	12	eq	eq	ADP
fis-2233	82	13	.	.	PUNCT
fis-2233	83	1	(	(	PUNCT
fis-2233	83	2	8)	8)	NUM
fis-2233	83	3	.	.	PUNCT
fis-2233	83	4	input	input	NOUN
fis-2233	83	5	stress	stress	NOUN
fis-2233	83	6	 	 	SPACE
fis-2233	83	7	psd	psd	PROPN
fis-2233	83	8	covariance	covariance	NOUN
fis-2233	83	9	 	 	SPACE
fis-2233	83	10	matrix	matrix	NOUN
fis-2233	83	11	s(f	s(f	PROPN
fis-2233	83	12	)	)	PUNCT
fis-2233	83	13	,	,	PUNCT
fis-2233	83	14	 	 	SPACE
fis-2233	83	15	c	c	NOUN
fis-2233	83	16	material	material	NOUN
fis-2233	83	17	 	 	SPACE
fis-2233	83	18	properties	property	NOUN
fis-2233	83	19	σa	σa	VERB
fis-2233	83	20	,	,	PUNCT
fis-2233	83	21	 	 	SPACE
fis-2233	83	22	τa	τa	VERB
fis-2233	83	23	(	(	PUNCT
fis-2233	83	24	at	at	ADP
fis-2233	83	25	 	 	SPACE
fis-2233	83	26	na	na	ADV
fis-2233	83	27	cycles	cycles	PROPN
fis-2233	83	28	)	)	PUNCT
fis-2233	83	29	kσ	kσ	PROPN
fis-2233	83	30	,	,	PUNCT
fis-2233	83	31	 	 	SPACE
fis-2233	83	32	kτ	kτ	PROPN
fis-2233	83	33	analysis	analysis	NOUN
fis-2233	83	34	 	 	SPACE
fis-2233	83	35	steps	step	VERB
fis-2233	83	36	output	output	NOUN
fis-2233	83	37	deviatoric	deviatoric	NOUN
fis-2233	83	38	/	/	SYM
fis-2233	83	39	hydrostatic	hydrostatic	ADJ
fis-2233	83	40	1	1	NUM
fis-2233	83	41	principal	principal	NOUN
fis-2233	83	42	 	 	SPACE
fis-2233	83	43	system	system	NOUN
fis-2233	83	44	i‐th	i‐th	VERB
fis-2233	83	45	damage	damage	NOUN
fis-2233	83	46	d1	d1	NOUN
fis-2233	83	47	,	,	PUNCT
fis-2233	83	48	 	 	SPACE
fis-2233	83	49	d2	d2	PROPN
fis-2233	83	50	,	,	PUNCT
fis-2233	83	51	 	 	SPACE
fis-2233	83	52	d3	d3	PROPN
fis-2233	83	53	reference	reference	NOUN
fis-2233	83	54	 	 	SPACE
fis-2233	83	55	s‐n	s‐n	PROPN
fis-2233	83	56	 	 	SPACE
fis-2233	83	57	line	line	NOUN
fis-2233	83	58	ρref	ρref	NOUN
fis-2233	83	59	,	,	PUNCT
fis-2233	83	60	jaref	jaref	NOUN
fis-2233	83	61	,	,	PUNCT
fis-2233	83	62	 	 	SPACE
fis-2233	83	63	kref	kref	NOUN
fis-2233	83	64	total	total	NOUN
fis-2233	83	65	 	 	SPACE
fis-2233	83	66	damage	damage	NOUN
fis-2233	83	67	dtot	dtot	ADJ
fis-2233	83	68	3	3	NUM
fis-2233	83	69	3	3	NUM
fis-2233	83	70	2	2	NUM
fis-2233	83	71	4	4	NUM
fis-2233	83	72	5	5	NUM
fis-2233	83	73	tf	tf	NOUN
fis-2233	83	74	=	=	NOUN
fis-2233	83	75	dcr	dcr	ADJ
fis-2233	83	76	/	/	SYM
fis-2233	83	77	dtot	dtot	ADJ
fis-2233	83	78	fatigue	fatigue	NOUN
fis-2233	83	79	 	 	SPACE
fis-2233	83	80	life	life	NOUN
fis-2233	83	81	4	4	NUM
fis-2233	83	82	psd	psd	NOUN
fis-2233	83	83	 	 	SPACE
fis-2233	83	84	(	(	PUNCT
fis-2233	83	85	deviatoric	deviatoric	NOUN
fis-2233	83	86	)	)	PUNCT
fis-2233	83	87	psd	psd	NOUN
fis-2233	83	88	 	 	SPACE
fis-2233	83	89	(	(	PUNCT
fis-2233	83	90	projections	projection	NOUN
fis-2233	83	91	)	)	PUNCT
fis-2233	83	92	s'(f	s'(f	ADJ
fis-2233	83	93	)	)	PUNCT
fis-2233	83	94	s'p(f	s'p(f	NOUN
fis-2233	83	95	)	)	PUNCT
fis-2233	84	1	c	c	X
fis-2233	84	2	'	'	PUNCT
fis-2233	84	3	,	,	PUNCT
fis-2233	84	4	 	 	SPACE
fis-2233	84	5	vh	vh	PROPN
fis-2233	84	6	c'p11	c'p11	PROPN
fis-2233	84	7	,	,	PUNCT
fis-2233	84	8	 	 	SPACE
fis-2233	84	9	c'p22	c'p22	NOUN
fis-2233	84	10	,	,	PUNCT
fis-2233	84	11	 	 	SPACE
fis-2233	84	12	c'p33	c'p33	NOUN
fis-2233	84	13	u	u	NOUN
fis-2233	84	14	2	2	NUM
fis-2233	84	15	2	2	NUM
fis-2233	84	16	t	t	NOUN
fis-2233	84	17	d.	d.	PROPN
fis-2233	84	18	benasciutti	benasciutti	PROPN
fis-2233	84	19	et	et	PROPN
fis-2233	84	20	alii	alii	PROPN
fis-2233	84	21	,	,	PUNCT
fis-2233	84	22	frattura	frattura	PROPN
fis-2233	84	23	ed	ed	PROPN
fis-2233	84	24	integrità	integrità	PROPN
fis-2233	84	25	strutturale	strutturale	PROPN
fis-2233	84	26	,	,	PUNCT
fis-2233	84	27	47	47	NUM
fis-2233	84	28	(	(	PUNCT
fis-2233	84	29	2019	2019	NUM
fis-2233	84	30	)	)	PUNCT
fis-2233	84	31	348	348	NUM
fis-2233	84	32	-	-	SYM
fis-2233	84	33	366	366	NUM
fis-2233	84	34	;	;	PUNCT
fis-2233	84	35	doi	doi	NOUN
fis-2233	84	36	:	:	PUNCT
fis-2233	84	37	10.3221	10.3221	NUM
fis-2233	84	38	/	/	SYM
fis-2233	84	39	igf	igf	PROPN
fis-2233	84	40	-	-	ADJ
fis-2233	84	41	esis.47.26	esis.47.26	ADJ
fis-2233	84	42	352	352	NUM
fis-2233	84	43	step	step	NOUN
fis-2233	84	44	2	2	NUM
fis-2233	84	45	–	–	PUNCT
fis-2233	84	46	from	from	ADP
fis-2233	84	47	the	the	DET
fis-2233	84	48	original	original	ADJ
fis-2233	84	49	coordinate	coordinate	NOUN
fis-2233	84	50	system	system	NOUN
fis-2233	84	51	to	to	ADP
fis-2233	84	52	the	the	DET
fis-2233	84	53	(	(	PUNCT
fis-2233	84	54	rotated	rotated	ADJ
fis-2233	84	55	)	)	PUNCT
fis-2233	84	56	principal	principal	ADJ
fis-2233	84	57	coordinate	coordinate	NOUN
fis-2233	84	58	system	system	NOUN
fis-2233	84	59	in	in	ADP
fis-2233	84	60	general	general	ADJ
fis-2233	84	61	,	,	PUNCT
fis-2233	84	62	matrix	matrix	NOUN
fis-2233	84	63	c	c	NOUN
fis-2233	84	64	'	'	PUNCT
fis-2233	84	65	is	be	AUX
fis-2233	84	66	not	not	PART
fis-2233	84	67	diagonal	diagonal	ADJ
fis-2233	84	68	,	,	PUNCT
fis-2233	84	69	i.e.	i.e.	X
fis-2233	84	70	some	some	DET
fis-2233	84	71	correlation	correlation	NOUN
fis-2233	84	72	exists	exist	VERB
fis-2233	84	73	between	between	ADP
fis-2233	84	74	the	the	DET
fis-2233	84	75	stress	stress	ADJ
fis-2233	84	76	components	component	NOUN
fis-2233	84	77	of	of	ADP
fis-2233	84	78	s(t	s(t	PROPN
fis-2233	84	79	)	)	PUNCT
fis-2233	84	80	.	.	PUNCT
fis-2233	85	1	if	if	SCONJ
fis-2233	85	2	this	this	PRON
fis-2233	85	3	happens	happen	VERB
fis-2233	85	4	,	,	PUNCT
fis-2233	85	5	it	it	PRON
fis-2233	85	6	is	be	AUX
fis-2233	85	7	necessary	necessary	ADJ
fis-2233	85	8	to	to	PART
fis-2233	85	9	compute	compute	VERB
fis-2233	85	10	a	a	DET
fis-2233	85	11	new	new	ADJ
fis-2233	85	12	covariance	covariance	NOUN
fis-2233	85	13	matrix	matrix	NOUN
fis-2233	85	14	c'p	c'p	VERB
fis-2233	85	15	in	in	ADP
fis-2233	85	16	which	which	PRON
fis-2233	85	17	all	all	DET
fis-2233	85	18	cross	cross	NOUN
fis-2233	85	19	-	-	NOUN
fis-2233	85	20	correlations	correlation	NOUN
fis-2233	85	21	(	(	PUNCT
fis-2233	85	22	out	out	NOUN
fis-2233	85	23	-	-	PUNCT
fis-2233	85	24	of	of	ADP
fis-2233	85	25	-	-	PUNCT
fis-2233	85	26	diagonal	diagonal	ADJ
fis-2233	85	27	elements	element	NOUN
fis-2233	85	28	)	)	PUNCT
fis-2233	85	29	are	be	AUX
fis-2233	85	30	zero	zero	NUM
fis-2233	85	31	.	.	PUNCT
fis-2233	86	1	this	this	DET
fis-2233	86	2	outcome	outcome	NOUN
fis-2233	86	3	yields	yield	NOUN
fis-2233	86	4	by	by	ADP
fis-2233	86	5	solving	solve	VERB
fis-2233	86	6	the	the	DET
fis-2233	86	7	following	follow	VERB
fis-2233	86	8	eigenvalue	eigenvalue	PROPN
fis-2233	86	9	/	/	SYM
fis-2233	86	10	eigenvector	eigenvector	NOUN
fis-2233	86	11	problem	problem	NOUN
fis-2233	86	12	for	for	ADP
fis-2233	86	13	c	c	NOUN
fis-2233	86	14	'	'	PUNCT
fis-2233	86	15	:	:	PUNCT
fis-2233	86	16			PROPN
fis-2233	86	17			PROPN
fis-2233	86	18			PROPN
fis-2233	86	19			PROPN
fis-2233	86	20			X
fis-2233	86	21			NOUN
fis-2233	86	22			NOUN
fis-2233	86	23			NOUN
fis-2233	86	24			X
fis-2233	86	25			PROPN
fis-2233	86	26			ADV
fis-2233	86	27			PROPN
fis-2233	86	28	33	33	NUM
fis-2233	86	29	22	22	NUM
fis-2233	86	30	11	11	NUM
fis-2233	86	31	t	t	NOUN
fis-2233	86	32	00	00	NUM
fis-2233	86	33	00	00	NUM
fis-2233	86	34	00	00	NUM
fis-2233	86	35	'	'	PUNCT
fis-2233	86	36	''	''	PUNCT
fis-2233	87	1	p	p	X
fis-2233	87	2	p	p	X
fis-2233	87	3	p	p	X
fis-2233	87	4	pp	pp	ADJ
fis-2233	87	5	c	c	NOUN
fis-2233	87	6	'	'	PUNCT
fis-2233	87	7	c	c	NOUN
fis-2233	87	8	'	'	PUNCT
fis-2233	87	9	c	c	NOUN
fis-2233	87	10	cucuc	cucuc	NOUN
fis-2233	87	11	(	(	PUNCT
fis-2233	87	12	9	9	X
fis-2233	87	13	)	)	PUNCT
fis-2233	87	14	the	the	DET
fis-2233	87	15	eigenvalues	eigenvalue	NOUN
fis-2233	87	16	are	be	AUX
fis-2233	87	17	in	in	ADP
fis-2233	87	18	the	the	DET
fis-2233	87	19	main	main	ADJ
fis-2233	87	20	diagonal	diagonal	NOUN
fis-2233	87	21	of	of	ADP
fis-2233	87	22	c'p	c'p	ADV
fis-2233	87	23	,	,	PUNCT
fis-2233	87	24	the	the	DET
fis-2233	87	25	eigenvectors	eigenvector	NOUN
fis-2233	87	26	are	be	AUX
fis-2233	87	27	the	the	DET
fis-2233	87	28	columns	column	NOUN
fis-2233	87	29	of	of	ADP
fis-2233	87	30	u.	u.	NOUN
fis-2233	87	31	in	in	ADP
fis-2233	87	32	a	a	DET
fis-2233	87	33	time	time	NOUN
fis-2233	87	34	-	-	PUNCT
fis-2233	87	35	domain	domain	NOUN
fis-2233	87	36	perspective	perspective	NOUN
fis-2233	87	37	,	,	PUNCT
fis-2233	87	38	the	the	DET
fis-2233	87	39	eigenvalue	eigenvalue	PROPN
fis-2233	87	40	/	/	SYM
fis-2233	87	41	eigenvector	eigenvector	NOUN
fis-2233	87	42	problem	problem	NOUN
fis-2233	87	43	(	(	PUNCT
fis-2233	87	44	9	9	X
fis-2233	87	45	)	)	PUNCT
fis-2233	87	46	can	can	AUX
fis-2233	87	47	be	be	AUX
fis-2233	87	48	viewed	view	VERB
fis-2233	87	49	as	as	ADP
fis-2233	87	50	the	the	DET
fis-2233	87	51	projection	projection	NOUN
fis-2233	87	52	of	of	ADP
fis-2233	87	53	the	the	DET
fis-2233	87	54	loading	loading	NOUN
fis-2233	87	55	path	path	NOUN
fis-2233	87	56			PROPN
fis-2233	87	57	along	along	ADP
fis-2233	87	58	the	the	DET
fis-2233	87	59	axes	axis	NOUN
fis-2233	87	60	of	of	ADP
fis-2233	87	61	a	a	DET
fis-2233	87	62	new	new	ADJ
fis-2233	87	63	(	(	PUNCT
fis-2233	87	64	rotated	rotate	VERB
fis-2233	87	65	)	)	PUNCT
fis-2233	87	66	“	"	PUNCT
fis-2233	87	67	principal	principal	ADJ
fis-2233	87	68	coordinate	coordinate	NOUN
fis-2233	87	69	system	system	NOUN
fis-2233	87	70	”	"	PUNCT
fis-2233	87	71	.	.	PUNCT
fis-2233	88	1	the	the	DET
fis-2233	88	2	new	new	ADJ
fis-2233	88	3	system	system	NOUN
fis-2233	88	4	is	be	AUX
fis-2233	88	5	located	locate	VERB
fis-2233	88	6	by	by	ADP
fis-2233	88	7	a	a	DET
fis-2233	88	8	rotation	rotation	NOUN
fis-2233	88	9	angle	angle	NOUN
fis-2233	88	10	(	(	PUNCT
fis-2233	88	11	whose	whose	DET
fis-2233	88	12	direction	direction	NOUN
fis-2233	88	13	cosines	cosine	NOUN
fis-2233	88	14	are	be	AUX
fis-2233	88	15	the	the	DET
fis-2233	88	16	eigenvectors	eigenvector	NOUN
fis-2233	88	17	in	in	ADP
fis-2233	88	18	the	the	DET
fis-2233	88	19	column	column	NOUN
fis-2233	88	20	of	of	ADP
fis-2233	88	21	matrix	matrix	NOUN
fis-2233	88	22	u	u	NOUN
fis-2233	88	23	)	)	PUNCT
fis-2233	88	24	from	from	ADP
fis-2233	88	25	the	the	DET
fis-2233	88	26	original	original	ADJ
fis-2233	88	27	system	system	NOUN
fis-2233	88	28	in	in	ADP
fis-2233	88	29	which	which	PRON
fis-2233	88	30	s(t	s(t	PROPN
fis-2233	88	31	)	)	PUNCT
fis-2233	88	32	is	be	AUX
fis-2233	88	33	initially	initially	ADV
fis-2233	88	34	defined	define	VERB
fis-2233	88	35	.	.	PUNCT
fis-2233	89	1	projecting	project	VERB
fis-2233	89	2	the	the	DET
fis-2233	89	3	loading	loading	NOUN
fis-2233	89	4	path	path	NOUN
fis-2233	89	5	into	into	ADP
fis-2233	89	6	the	the	DET
fis-2233	89	7	new	new	ADJ
fis-2233	89	8	coordinate	coordinate	NOUN
fis-2233	89	9	system	system	NOUN
fis-2233	89	10	yields	yield	VERB
fis-2233	89	11	3	3	NUM
fis-2233	89	12	new	new	ADJ
fis-2233	89	13	stress	stress	NOUN
fis-2233	89	14	components	component	NOUN
fis-2233	89	15	ωp	ωp	PROPN
fis-2233	89	16	,	,	PUNCT
fis-2233	89	17	i(t	i(t	PROPN
fis-2233	89	18	)	)	PUNCT
fis-2233	89	19	(	(	PUNCT
fis-2233	89	20	i=1	i=1	X
fis-2233	89	21	,	,	PUNCT
fis-2233	89	22	2	2	NUM
fis-2233	89	23	,	,	PUNCT
fis-2233	89	24	3	3	NUM
fis-2233	89	25	)	)	PUNCT
fis-2233	89	26	,	,	PUNCT
fis-2233	89	27	which	which	PRON
fis-2233	89	28	are	be	AUX
fis-2233	89	29	grouped	group	VERB
fis-2233	89	30	in	in	ADP
fis-2233	89	31	the	the	DET
fis-2233	89	32	vector	vector	NOUN
fis-2233	89	33	ω(t)=(ωp,1(t	ω(t)=(ωp,1(t	ADJ
fis-2233	89	34	)	)	PUNCT
fis-2233	89	35	,	,	PUNCT
fis-2233	89	36	ωp,2(t	ωp,2(t	NOUN
fis-2233	89	37	)	)	PUNCT
fis-2233	89	38	,	,	PUNCT
fis-2233	89	39	ωp,3(t	ωp,3(t	NUM
fis-2233	89	40	)	)	PUNCT
fis-2233	89	41	)	)	PUNCT
fis-2233	89	42	.	.	PUNCT
fis-2233	90	1	since	since	SCONJ
fis-2233	90	2	matrix	matrix	NOUN
fis-2233	90	3	c'p	c'p	VERB
fis-2233	90	4	is	be	AUX
fis-2233	90	5	diagonal	diagonal	ADJ
fis-2233	90	6	,	,	PUNCT
fis-2233	90	7	the	the	DET
fis-2233	90	8	stress	stress	NOUN
fis-2233	90	9	components	component	NOUN
fis-2233	90	10	in	in	ADP
fis-2233	90	11	ω(t	ω(t	NOUN
fis-2233	90	12	)	)	PUNCT
fis-2233	90	13	are	be	AUX
fis-2233	90	14	completely	completely	ADV
fis-2233	90	15	uncorrelated	uncorrelated	ADJ
fis-2233	90	16	,	,	PUNCT
fis-2233	90	17	that	that	PRON
fis-2233	90	18	is	be	AUX
fis-2233	90	19	cov(ωp	cov(ωp	NOUN
fis-2233	90	20	,	,	PUNCT
fis-2233	90	21	h(t	h(t	PROPN
fis-2233	90	22	)	)	PUNCT
fis-2233	90	23	,	,	PUNCT
fis-2233	90	24	ωp	ωp	INTJ
fis-2233	90	25	,	,	PUNCT
fis-2233	90	26	k(t))=0	k(t))=0	VERB
fis-2233	90	27	for	for	ADP
fis-2233	90	28	any	any	DET
fis-2233	90	29	h≠k	h≠k	NOUN
fis-2233	90	30	.	.	PUNCT
fis-2233	91	1	the	the	DET
fis-2233	91	2	diagonal	diagonal	ADJ
fis-2233	91	3	elements	element	NOUN
fis-2233	91	4	in	in	ADP
fis-2233	91	5	c'p	c'p	ADV
fis-2233	91	6	are	be	AUX
fis-2233	91	7	the	the	DET
fis-2233	91	8	variances	variance	NOUN
fis-2233	91	9	cpii	cpii	NOUN
fis-2233	91	10	=	=	SYM
fis-2233	91	11	var(ωp	var(ωp	NOUN
fis-2233	91	12	,	,	PUNCT
fis-2233	91	13	i(t	i(t	PROPN
fis-2233	91	14	)	)	PUNCT
fis-2233	91	15	)	)	PUNCT
fis-2233	91	16	.	.	PUNCT
fis-2233	92	1	fig	fig	NOUN
fis-2233	92	2	.	.	PUNCT
fis-2233	93	1	2	2	NUM
fis-2233	93	2	shows	show	VERB
fis-2233	93	3	an	an	DET
fis-2233	93	4	example	example	NOUN
fis-2233	93	5	for	for	ADP
fis-2233	93	6	a	a	DET
fis-2233	93	7	tension	tension	NOUN
fis-2233	93	8	/	/	SYM
fis-2233	93	9	torsion	torsion	NOUN
fis-2233	93	10	loading	loading	NOUN
fis-2233	93	11	.	.	PUNCT
fis-2233	94	1	the	the	DET
fis-2233	94	2	non	non	ADJ
fis-2233	94	3	-	-	ADJ
fis-2233	94	4	null	null	ADJ
fis-2233	94	5	deviatoric	deviatoric	ADJ
fis-2233	94	6	stress	stress	NOUN
fis-2233	94	7	components	component	NOUN
fis-2233	94	8	s1(t	s1(t	NOUN
fis-2233	94	9	)	)	PUNCT
fis-2233	94	10	,	,	PUNCT
fis-2233	94	11	s3(t	s3(t	NUM
fis-2233	94	12	)	)	PUNCT
fis-2233	94	13	give	give	VERB
fis-2233	94	14	the	the	DET
fis-2233	94	15	twodimensional	twodimensional	ADJ
fis-2233	94	16	loading	loading	NOUN
fis-2233	94	17	path	path	NOUN
fis-2233	94	18	.	.	PROPN
fis-2233	94	19	once	once	ADV
fis-2233	94	20	projected	project	VERB
fis-2233	94	21	in	in	ADP
fis-2233	94	22	the	the	DET
fis-2233	94	23	principal	principal	ADJ
fis-2233	94	24	system	system	NOUN
fis-2233	94	25	this	this	DET
fis-2233	94	26	path	path	NOUN
fis-2233	94	27	gives	give	VERB
fis-2233	94	28	rise	rise	NOUN
fis-2233	94	29	to	to	ADP
fis-2233	94	30	two	two	NUM
fis-2233	94	31	stress	stress	NOUN
fis-2233	94	32	projections	projection	NOUN
fis-2233	94	33	ωp,1(t	ωp,1(t	PROPN
fis-2233	94	34	)	)	PUNCT
fis-2233	94	35	,	,	PUNCT
fis-2233	94	36	ωp,3(t	ωp,3(t	NUM
fis-2233	94	37	)	)	PUNCT
fis-2233	94	38	.	.	PUNCT
fis-2233	95	1	both	both	DET
fis-2233	95	2	vectors	vector	NOUN
fis-2233	95	3	s(t	s(t	PROPN
fis-2233	95	4	)	)	PUNCT
fis-2233	95	5	and	and	CCONJ
fis-2233	95	6	ω(t	ω(t	NOUN
fis-2233	95	7	)	)	PUNCT
fis-2233	95	8	then	then	ADV
fis-2233	95	9	share	share	VERB
fis-2233	95	10	the	the	DET
fis-2233	95	11	same	same	ADJ
fis-2233	95	12	loading	loading	NOUN
fis-2233	95	13	path	path	NOUN
fis-2233	95	14	in	in	ADP
fis-2233	95	15	the	the	DET
fis-2233	95	16	deviatoric	deviatoric	ADJ
fis-2233	95	17	space	space	NOUN
fis-2233	95	18	.	.	PUNCT
fis-2233	96	1	figure	figure	VERB
fis-2233	96	2	2	2	NUM
fis-2233	96	3	:	:	PUNCT
fis-2233	96	4	example	example	NOUN
fis-2233	96	5	of	of	ADP
fis-2233	96	6	random	random	ADJ
fis-2233	96	7	loading	loading	NOUN
fis-2233	96	8	path	path	NOUN
fis-2233	96	9			PROPN
fis-2233	96	10	in	in	ADP
fis-2233	96	11	the	the	DET
fis-2233	96	12	two	two	NUM
fis-2233	96	13	-	-	PUNCT
fis-2233	96	14	dimensional	dimensional	ADJ
fis-2233	96	15	deviatoric	deviatoric	ADJ
fis-2233	96	16	space	space	NOUN
fis-2233	96	17	,	,	PUNCT
fis-2233	96	18	resulting	result	VERB
fis-2233	96	19	from	from	ADP
fis-2233	96	20	a	a	DET
fis-2233	96	21	tension	tension	NOUN
fis-2233	96	22	/	/	SYM
fis-2233	96	23	torsion	torsion	NOUN
fis-2233	96	24	loading	loading	NOUN
fis-2233	96	25	.	.	PUNCT
fis-2233	97	1	the	the	DET
fis-2233	97	2	rotated	rotated	ADJ
fis-2233	97	3	“	"	PUNCT
fis-2233	97	4	principal	principal	ADJ
fis-2233	97	5	coordinate	coordinate	NOUN
fis-2233	97	6	system	system	NOUN
fis-2233	97	7	”	"	PUNCT
fis-2233	97	8	is	be	AUX
fis-2233	97	9	located	locate	VERB
fis-2233	97	10	by	by	ADP
fis-2233	97	11	axes	axis	NOUN
fis-2233	97	12	(	(	PUNCT
fis-2233	97	13	s1,0	s1,0	PROPN
fis-2233	97	14	,	,	PUNCT
fis-2233	97	15	s3,0	s3,0	PROPN
fis-2233	97	16	)	)	PUNCT
fis-2233	97	17	and	and	CCONJ
fis-2233	97	18	it	it	PRON
fis-2233	97	19	is	be	AUX
fis-2233	97	20	used	use	VERB
fis-2233	97	21	to	to	PART
fis-2233	97	22	obtain	obtain	VERB
fis-2233	97	23	the	the	DET
fis-2233	97	24	stress	stress	NOUN
fis-2233	97	25	projections	projection	NOUN
fis-2233	97	26	ωp,1(t	ωp,1(t	PROPN
fis-2233	97	27	)	)	PUNCT
fis-2233	97	28	,	,	PUNCT
fis-2233	97	29	ωp,3(t	ωp,3(t	NUM
fis-2233	97	30	)	)	PUNCT
fis-2233	97	31	.	.	PUNCT
fis-2233	98	1	in	in	ADP
fis-2233	98	2	a	a	DET
fis-2233	98	3	frequency	frequency	NOUN
fis-2233	98	4	-	-	PUNCT
fis-2233	98	5	domain	domain	NOUN
fis-2233	98	6	approach	approach	NOUN
fis-2233	98	7	,	,	PUNCT
fis-2233	98	8	the	the	DET
fis-2233	98	9	direct	direct	ADJ
fis-2233	98	10	projection	projection	NOUN
fis-2233	98	11			PROPN
fis-2233	98	12	is	be	AUX
fis-2233	98	13	yet	yet	ADV
fis-2233	98	14	not	not	PART
fis-2233	98	15	necessary	necessary	ADJ
fis-2233	98	16	,	,	PUNCT
fis-2233	98	17	as	as	SCONJ
fis-2233	98	18	it	it	PRON
fis-2233	98	19	is	be	AUX
fis-2233	98	20	replaced	replace	VERB
fis-2233	98	21	by	by	ADP
fis-2233	98	22	a	a	DET
fis-2233	98	23	“	"	PUNCT
fis-2233	98	24	rotation	rotation	NOUN
fis-2233	98	25	”	"	PUNCT
fis-2233	98	26	of	of	ADP
fis-2233	98	27	the	the	DET
fis-2233	98	28	psd	psd	NOUN
fis-2233	98	29	matrix	matrix	NOUN
fis-2233	98	30	from	from	ADP
fis-2233	98	31	the	the	DET
fis-2233	98	32	“	"	PUNCT
fis-2233	98	33	old	old	ADJ
fis-2233	98	34	”	"	PUNCT
fis-2233	98	35	to	to	ADP
fis-2233	98	36	the	the	DET
fis-2233	98	37	“	"	PUNCT
fis-2233	98	38	new	new	ADJ
fis-2233	98	39	”	"	PUNCT
fis-2233	98	40	coordinate	coordinate	NOUN
fis-2233	98	41	system	system	NOUN
fis-2233	98	42	.	.	PUNCT
fis-2233	99	1	indeed	indeed	ADV
fis-2233	99	2	,	,	PUNCT
fis-2233	99	3	vector	vector	NOUN
fis-2233	99	4	ω(t	ω(t	NOUN
fis-2233	99	5	)	)	PUNCT
fis-2233	99	6	is	be	AUX
fis-2233	99	7	characterized	characterize	VERB
fis-2233	99	8	in	in	ADP
fis-2233	99	9	the	the	DET
fis-2233	99	10	frequency	frequency	NOUN
fis-2233	99	11	-	-	PUNCT
fis-2233	99	12	domain	domain	NOUN
fis-2233	99	13	by	by	ADP
fis-2233	99	14	the	the	DET
fis-2233	99	15	psd	psd	PROPN
fis-2233	99	16	matrix	matrix	NOUN
fis-2233	99	17	s'p(f	s'p(f	PROPN
fis-2233	99	18	)	)	PUNCT
fis-2233	99	19	,	,	PUNCT
fis-2233	99	20	which	which	PRON
fis-2233	99	21	turns	turn	VERB
fis-2233	99	22	out	out	ADP
fis-2233	99	23	by	by	ADP
fis-2233	99	24	“	"	PUNCT
fis-2233	99	25	projecting	project	VERB
fis-2233	99	26	”	"	PUNCT
fis-2233	99	27	the	the	DET
fis-2233	99	28	spectral	spectral	ADJ
fis-2233	99	29	matrix	matrix	NOUN
fis-2233	99	30	s'(f	s'(f	VERB
fis-2233	99	31	)	)	PUNCT
fis-2233	99	32	in	in	ADP
fis-2233	99	33	the	the	DET
fis-2233	99	34	new	new	ADJ
fis-2233	99	35	rotated	rotate	VERB
fis-2233	99	36	principal	principal	ADJ
fis-2233	99	37	system	system	NOUN
fis-2233	99	38	:	:	PUNCT
fis-2233	99	39			NOUN
fis-2233	100	1			SYM
fis-2233	100	2			NOUN
fis-2233	100	3			SYM
fis-2233	100	4			NOUN
fis-2233	100	5			PUNCT
fis-2233	100	6			PROPN
fis-2233	101	1			PROPN
fis-2233	101	2			PROPN
fis-2233	101	3			PROPN
fis-2233	101	4			X
fis-2233	101	5			NOUN
fis-2233	101	6			NOUN
fis-2233	101	7			NOUN
fis-2233	101	8			VERB
fis-2233	101	9			PROPN
fis-2233	101	10			ADJ
fis-2233	101	11			ADV
fis-2233	101	12			ADV
fis-2233	101	13			ADJ
fis-2233	101	14	)	)	PUNCT
fis-2233	101	15	(	(	PUNCT
fis-2233	101	16	00	00	NUM
fis-2233	101	17	0)(0	0)(0	NUM
fis-2233	101	18	00	00	NUM
fis-2233	101	19	)	)	PUNCT
fis-2233	101	20	(	(	PUNCT
fis-2233	101	21	'	'	PUNCT
fis-2233	101	22	''	''	PUNCT
fis-2233	101	23	33	33	NUM
fis-2233	101	24	22	22	NUM
fis-2233	101	25	11	11	NUM
fis-2233	101	26	p	p	NOUN
fis-2233	101	27	t	t	PROPN
fis-2233	101	28	p	p	X
fis-2233	101	29	fs	fs	ADP
fis-2233	101	30	fs	fs	X
fis-2233	101	31	fs	fs	ADP
fis-2233	101	32	fff	fff	PROPN
fis-2233	101	33	p	p	PROPN
fis-2233	102	1	p	p	X
fis-2233	102	2	p	p	X
fis-2233	102	3	susus	susus	NOUN
fis-2233	102	4	(	(	PUNCT
fis-2233	102	5	10	10	NUM
fis-2233	102	6	)	)	PUNCT
fis-2233	102	7	1000	1000	NUM
fis-2233	102	8	1500	1500	NUM
fis-2233	102	9	2000	2000	NUM
fis-2233	102	10	2500	2500	NUM
fis-2233	102	11	s3(t	s3(t	NUM
fis-2233	102	12	)	)	PUNCT
fis-2233	102	13	t	t	PROPN
fis-2233	102	14	t	t	NOUN
fis-2233	102	15	s1	s1	PROPN
fis-2233	102	16	(	(	PUNCT
fis-2233	102	17	t	t	PROPN
fis-2233	102	18	)	)	PUNCT
fis-2233	102	19	s1	s1	PROPN
fis-2233	102	20	s3	s3	PROPN
fis-2233	102	21	load	load	NOUN
fis-2233	102	22	path	path	NOUN
fis-2233	102	23	ψ	ψ	X
fis-2233	102	24	xx(t	xx(t	NOUN
fis-2233	102	25	)	)	PUNCT
fis-2233	102	26	τxy(t	τxy(t	PROPN
fis-2233	102	27	)	)	PUNCT
fis-2233	102	28	t	t	PROPN
fis-2233	102	29	t	t	PROPN
fis-2233	102	30	d.	d.	PROPN
fis-2233	102	31	benasciutti	benasciutti	PROPN
fis-2233	102	32	et	et	PROPN
fis-2233	102	33	alii	alii	PROPN
fis-2233	102	34	,	,	PUNCT
fis-2233	102	35	frattura	frattura	PROPN
fis-2233	102	36	ed	ed	PROPN
fis-2233	102	37	integrità	integrità	PROPN
fis-2233	102	38	strutturale	strutturale	PROPN
fis-2233	102	39	,	,	PUNCT
fis-2233	102	40	47	47	NUM
fis-2233	102	41	(	(	PUNCT
fis-2233	102	42	2019	2019	NUM
fis-2233	102	43	)	)	PUNCT
fis-2233	102	44	348	348	NUM
fis-2233	102	45	-	-	SYM
fis-2233	102	46	366	366	NUM
fis-2233	102	47	;	;	PUNCT
fis-2233	102	48	doi	doi	NOUN
fis-2233	102	49	:	:	PUNCT
fis-2233	102	50	10.3221	10.3221	NUM
fis-2233	102	51	/	/	SYM
fis-2233	102	52	igf	igf	PROPN
fis-2233	102	53	-	-	PUNCT
fis-2233	102	54	esis.47.26	esis.47.26	ADJ
fis-2233	102	55	353	353	NUM
fis-2233	102	56	matrix	matrix	NOUN
fis-2233	102	57	s'p(f	s'p(f	NOUN
fis-2233	102	58	)	)	PUNCT
fis-2233	102	59	is	be	AUX
fis-2233	102	60	diagonal	diagonal	ADJ
fis-2233	102	61	,	,	PUNCT
fis-2233	102	62	by	by	ADP
fis-2233	102	63	definition	definition	NOUN
fis-2233	102	64	,	,	PUNCT
fis-2233	102	65	and	and	CCONJ
fis-2233	102	66	it	it	PRON
fis-2233	102	67	collects	collect	VERB
fis-2233	102	68	the	the	DET
fis-2233	102	69	auto	auto	NOUN
fis-2233	102	70	-	-	PUNCT
fis-2233	102	71	spectra	spectra	NOUN
fis-2233	102	72	s'ii(f	s'ii(f	NOUN
fis-2233	102	73	)	)	PUNCT
fis-2233	102	74	of	of	ADP
fis-2233	102	75	stress	stress	NOUN
fis-2233	102	76	projection	projection	PROPN
fis-2233	102	77	ωp	ωp	PROPN
fis-2233	102	78	,	,	PUNCT
fis-2233	102	79	i(t	i(t	PROPN
fis-2233	102	80	)	)	PUNCT
fis-2233	102	81	,	,	PUNCT
fis-2233	102	82	i=1	i=1	PROPN
fis-2233	102	83	,	,	PUNCT
fis-2233	102	84	2	2	NUM
fis-2233	102	85	,	,	PUNCT
fis-2233	102	86	3	3	NUM
fis-2233	102	87	.	.	NOUN
fis-2233	103	1	thanks	thank	NOUN
fis-2233	103	2	to	to	ADP
fis-2233	103	3	the	the	DET
fis-2233	103	4	fact	fact	NOUN
fis-2233	103	5	that	that	SCONJ
fis-2233	103	6	,	,	PUNCT
fis-2233	103	7	in	in	ADP
fis-2233	103	8	the	the	DET
fis-2233	103	9	principal	principal	ADJ
fis-2233	103	10	system	system	NOUN
fis-2233	103	11	,	,	PUNCT
fis-2233	103	12	the	the	DET
fis-2233	103	13	stress	stress	NOUN
fis-2233	103	14	projections	projection	NOUN
fis-2233	103	15	ωp	ωp	PRON
fis-2233	103	16	,	,	PUNCT
fis-2233	103	17	i(t	i(t	PROPN
fis-2233	103	18	)	)	PUNCT
fis-2233	103	19	are	be	AUX
fis-2233	103	20	completely	completely	ADV
fis-2233	103	21	uncorrelated	uncorrelated	ADJ
fis-2233	103	22	,	,	PUNCT
fis-2233	103	23	their	their	PRON
fis-2233	103	24	fatigue	fatigue	NOUN
fis-2233	103	25	damage	damage	NOUN
fis-2233	103	26	can	can	AUX
fis-2233	103	27	be	be	AUX
fis-2233	103	28	computed	compute	VERB
fis-2233	103	29	separately	separately	ADV
fis-2233	103	30	.	.	PUNCT
fis-2233	104	1	knowing	know	VERB
fis-2233	104	2	the	the	DET
fis-2233	104	3	power	power	NOUN
fis-2233	104	4	spectra	spectra	PROPN
fis-2233	104	5	s'pii(f	s'pii(f	PROPN
fis-2233	104	6	)	)	PUNCT
fis-2233	104	7	,	,	PUNCT
fis-2233	104	8	the	the	DET
fis-2233	104	9	damage	damage	NOUN
fis-2233	104	10	can	can	AUX
fis-2233	104	11	be	be	AUX
fis-2233	104	12	estimated	estimate	VERB
fis-2233	104	13	through	through	ADP
fis-2233	104	14	spectral	spectral	ADJ
fis-2233	104	15	methods	method	NOUN
fis-2233	104	16	for	for	ADP
fis-2233	104	17	uniaxial	uniaxial	ADJ
fis-2233	104	18	loadings	loading	NOUN
fis-2233	104	19	(	(	PUNCT
fis-2233	104	20	see	see	VERB
fis-2233	104	21	step	step	NOUN
fis-2233	104	22	4	4	NUM
fis-2233	104	23	)	)	PUNCT
fis-2233	104	24	.	.	PUNCT
fis-2233	105	1	to	to	ADP
fis-2233	105	2	this	this	DET
fis-2233	105	3	end	end	NOUN
fis-2233	105	4	,	,	PUNCT
fis-2233	105	5	each	each	DET
fis-2233	105	6	spectrum	spectrum	NOUN
fis-2233	105	7	needs	need	VERB
fis-2233	105	8	to	to	PART
fis-2233	105	9	be	be	AUX
fis-2233	105	10	characterized	characterize	VERB
fis-2233	105	11	by	by	ADP
fis-2233	105	12	several	several	ADJ
fis-2233	105	13	parameters	parameter	NOUN
fis-2233	105	14	(	(	PUNCT
fis-2233	105	15	see	see	VERB
fis-2233	105	16	appendix	appendix	NOUN
fis-2233	105	17	a	a	PRON
fis-2233	105	18	):	):	PUNCT
fis-2233	105	19	spectral	spectral	ADJ
fis-2233	105	20	moments	moment	NOUN
fis-2233	105	21	(	(	PUNCT
fis-2233	105	22	λ0i	λ0i	PROPN
fis-2233	105	23	,	,	PUNCT
fis-2233	105	24	λ1i	λ1i	X
fis-2233	105	25	,	,	PUNCT
fis-2233	105	26	λ2i	λ2i	PROPN
fis-2233	105	27	,	,	PUNCT
fis-2233	105	28	λ4i	λ4i	PROPN
fis-2233	105	29	)	)	PUNCT
fis-2233	105	30	,	,	PUNCT
fis-2233	105	31	bandwidth	bandwidth	ADJ
fis-2233	105	32	parameters	parameter	NOUN
fis-2233	105	33	(	(	PUNCT
fis-2233	105	34	α1i	α1i	NOUN
fis-2233	105	35	,	,	PUNCT
fis-2233	105	36	α2i	α2i	NOUN
fis-2233	105	37	)	)	PUNCT
fis-2233	105	38	,	,	PUNCT
fis-2233	105	39	frequency	frequency	NOUN
fis-2233	105	40	of	of	ADP
fis-2233	105	41	up	up	ADV
fis-2233	105	42	-	-	PUNCT
fis-2233	105	43	crossing	crossing	NOUN
fis-2233	105	44	and	and	CCONJ
fis-2233	105	45	peaks	peak	NOUN
fis-2233	105	46	(	(	PUNCT
fis-2233	105	47	ν0,i	ν0,i	PROPN
fis-2233	105	48	,	,	PUNCT
fis-2233	105	49	νp	νp	NOUN
fis-2233	105	50	,	,	PUNCT
fis-2233	105	51	i	i	NOUN
fis-2233	105	52	)	)	PUNCT
fis-2233	105	53	.	.	PUNCT
fis-2233	106	1	step	step	NOUN
fis-2233	106	2	3	3	NUM
fis-2233	106	3	–	–	PUNCT
fis-2233	106	4	reference	reference	NOUN
fis-2233	106	5	s	s	PROPN
fis-2233	106	6	-	-	PUNCT
fis-2233	106	7	n	n	PRON
fis-2233	106	8	line	line	NOUN
fis-2233	106	9	in	in	ADP
fis-2233	106	10	the	the	DET
fis-2233	106	11	modified	modify	VERB
fis-2233	106	12	wöhler	wöhl	ADJ
fis-2233	106	13	diagram	diagram	NOUN
fis-2233	106	14	the	the	DET
fis-2233	106	15	fatigue	fatigue	NOUN
fis-2233	106	16	damage	damage	NOUN
fis-2233	106	17	for	for	ADP
fis-2233	106	18	each	each	DET
fis-2233	106	19	projected	project	VERB
fis-2233	106	20	stress	stress	NOUN
fis-2233	106	21	ωp	ωp	PROPN
fis-2233	106	22	,	,	PUNCT
fis-2233	106	23	i(t	i(t	PROPN
fis-2233	106	24	)	)	PUNCT
fis-2233	106	25	is	be	AUX
fis-2233	106	26	calculated	calculate	VERB
fis-2233	106	27	on	on	ADP
fis-2233	106	28	a	a	DET
fis-2233	106	29	“	"	PUNCT
fis-2233	106	30	reference	reference	NOUN
fis-2233	106	31	s	s	NOUN
fis-2233	106	32	-	-	PUNCT
fis-2233	106	33	n	n	ADV
fis-2233	106	34	curve	curve	NOUN
fis-2233	106	35	”	"	PUNCT
fis-2233	106	36	in	in	ADP
fis-2233	106	37	a	a	DET
fis-2233	106	38	modified	modify	VERB
fis-2233	106	39	wöhler	wöhl	ADJ
fis-2233	106	40	diagram	diagram	NOUN
fis-2233	106	41	(	(	PUNCT
fis-2233	106	42	mwd	mwd	PROPN
fis-2233	106	43	)	)	PUNCT
fis-2233	107	1	[	[	X
fis-2233	107	2	7	7	NUM
fis-2233	107	3	]	]	PUNCT
fis-2233	107	4	.	.	PUNCT
fis-2233	108	1	this	this	DET
fis-2233	108	2	diagram	diagram	NOUN
fis-2233	108	3	relates	relate	VERB
fis-2233	108	4	the	the	DET
fis-2233	108	5	number	number	NOUN
fis-2233	108	6	of	of	ADP
fis-2233	108	7	cycles	cycle	NOUN
fis-2233	108	8	to	to	ADP
fis-2233	108	9	failure	failure	NOUN
fis-2233	108	10	,	,	PUNCT
fis-2233	108	11	n	n	CCONJ
fis-2233	108	12	,	,	PUNCT
fis-2233	108	13	to	to	ADP
fis-2233	108	14	the	the	DET
fis-2233	108	15	amplitude	amplitude	NOUN
fis-2233	108	16	of	of	ADP
fis-2233	108	17	the	the	DET
fis-2233	108	18	square	square	ADJ
fis-2233	108	19	root	root	NOUN
fis-2233	108	20	of	of	ADP
fis-2233	108	21	second	second	ADJ
fis-2233	108	22	invariant	invariant	NOUN
fis-2233	108	23	of	of	ADP
fis-2233	108	24	stress	stress	NOUN
fis-2233	108	25	deviator	deviator	NOUN
fis-2233	108	26	,	,	PUNCT
fis-2233	108	27	ajj	ajj	PROPN
fis-2233	108	28	a2	a2	PROPN
fis-2233	108	29	,	,	PUNCT
fis-2233	108	30	(	(	PUNCT
fis-2233	108	31	from	from	ADP
fis-2233	108	32	now	now	ADV
fis-2233	108	33	on	on	ADV
fis-2233	108	34	,	,	PUNCT
fis-2233	108	35	this	this	DET
fis-2233	108	36	simplified	simplified	ADJ
fis-2233	108	37	notation	notation	NOUN
fis-2233	108	38	will	will	AUX
fis-2233	108	39	be	be	AUX
fis-2233	108	40	used	use	VERB
fis-2233	108	41	to	to	PART
fis-2233	108	42	avoid	avoid	VERB
fis-2233	108	43	the	the	DET
fis-2233	108	44	square	square	ADJ
fis-2233	108	45	root	root	NOUN
fis-2233	108	46	symbol	symbol	NOUN
fis-2233	108	47	)	)	PUNCT
fis-2233	108	48	.	.	PUNCT
fis-2233	109	1	fig	fig	NOUN
fis-2233	109	2	.	.	PUNCT
fis-2233	110	1	3	3	NUM
fis-2233	110	2	depicts	depict	VERB
fis-2233	110	3	the	the	DET
fis-2233	110	4	relationship	relationship	NOUN
fis-2233	110	5	between	between	ADP
fis-2233	110	6	the	the	DET
fis-2233	110	7	mwd	mwd	PROPN
fis-2233	110	8	and	and	CCONJ
fis-2233	110	9	the	the	DET
fis-2233	110	10	wöhler	wöhl	ADJ
fis-2233	110	11	diagram	diagram	NOUN
fis-2233	110	12	.	.	PUNCT
fis-2233	111	1	the	the	DET
fis-2233	111	2	figure	figure	NOUN
fis-2233	111	3	shows	show	VERB
fis-2233	111	4	,	,	PUNCT
fis-2233	111	5	on	on	ADP
fis-2233	111	6	the	the	DET
fis-2233	111	7	right	right	NOUN
fis-2233	111	8	,	,	PUNCT
fis-2233	111	9	the	the	DET
fis-2233	111	10	reference	reference	NOUN
fis-2233	111	11	sn	sn	PROPN
fis-2233	111	12	line	line	NOUN
fis-2233	111	13	along	along	ADP
fis-2233	111	14	with	with	ADP
fis-2233	111	15	the	the	DET
fis-2233	111	16	tension	tension	NOUN
fis-2233	111	17	and	and	CCONJ
fis-2233	111	18	torsion	torsion	NOUN
fis-2233	111	19	s	s	NOUN
fis-2233	111	20	-	-	PUNCT
fis-2233	111	21	n	n	PRON
fis-2233	111	22	lines	line	NOUN
fis-2233	111	23	in	in	ADP
fis-2233	111	24	the	the	DET
fis-2233	111	25	mwd	mwd	PROPN
fis-2233	111	26	,	,	PUNCT
fis-2233	111	27	and	and	CCONJ
fis-2233	111	28	it	it	PRON
fis-2233	111	29	also	also	ADV
fis-2233	111	30	clarifies	clarify	VERB
fis-2233	111	31	how	how	SCONJ
fis-2233	111	32	the	the	DET
fis-2233	111	33	tension	tension	NOUN
fis-2233	111	34	/	/	SYM
fis-2233	111	35	torsion	torsion	NOUN
fis-2233	111	36	lines	line	NOUN
fis-2233	111	37	in	in	ADP
fis-2233	111	38	mwd	mwd	PROPN
fis-2233	111	39	have	have	VERB
fis-2233	111	40	to	to	PART
fis-2233	111	41	be	be	AUX
fis-2233	111	42	sketched	sketch	VERB
fis-2233	111	43	from	from	ADP
fis-2233	111	44	the	the	DET
fis-2233	111	45	corresponding	corresponding	ADJ
fis-2233	111	46	lines	line	NOUN
fis-2233	111	47	in	in	ADP
fis-2233	111	48	the	the	DET
fis-2233	111	49	wöhler	wöhl	ADJ
fis-2233	111	50	diagram	diagram	NOUN
fis-2233	111	51	on	on	ADP
fis-2233	111	52	the	the	DET
fis-2233	111	53	left	left	NOUN
fis-2233	111	54	.	.	PUNCT
fis-2233	112	1	from	from	ADP
fis-2233	112	2	the	the	DET
fis-2233	112	3	first	first	ADJ
fis-2233	112	4	and	and	CCONJ
fis-2233	112	5	third	third	ADJ
fis-2233	112	6	expression	expression	NOUN
fis-2233	112	7	in	in	ADP
fis-2233	112	8	eq	eq	ADP
fis-2233	112	9	.	.	PUNCT
fis-2233	113	1	(	(	PUNCT
fis-2233	113	2	3	3	NUM
fis-2233	113	3	)	)	PUNCT
fis-2233	113	4	,	,	PUNCT
fis-2233	113	5	in	in	ADP
fis-2233	113	6	the	the	DET
fis-2233	113	7	mwd	mwd	PROPN
fis-2233	113	8	the	the	DET
fis-2233	113	9	reference	reference	NOUN
fis-2233	113	10	strength	strength	NOUN
fis-2233	113	11	amplitudes	amplitude	NOUN
fis-2233	113	12	at	at	ADP
fis-2233	113	13	na	na	ADP
fis-2233	113	14	cycles	cycle	NOUN
fis-2233	113	15	are	be	AUX
fis-2233	113	16	3/	3/	NUM
fis-2233	113	17	,	,	PUNCT
fis-2233	113	18	aaj	aaj	NOUN
fis-2233	113	19			NOUN
fis-2233	113	20			NOUN
fis-2233	113	21	and	and	CCONJ
fis-2233	113	22	aaj	aaj	PROPN
fis-2233	113	23			PROPN
fis-2233	113	24			PROPN
fis-2233	113	25	,	,	PUNCT
fis-2233	113	26	,	,	PUNCT
fis-2233	113	27	where	where	SCONJ
fis-2233	113	28	σa	σa	VERB
fis-2233	113	29	and	and	CCONJ
fis-2233	113	30	τa	τa	VERB
fis-2233	113	31	are	be	AUX
fis-2233	113	32	the	the	DET
fis-2233	113	33	amplitudes	amplitude	NOUN
fis-2233	113	34	for	for	ADP
fis-2233	113	35	fully	fully	ADV
fis-2233	113	36	-	-	PUNCT
fis-2233	113	37	reversed	reverse	VERB
fis-2233	113	38	axial	axial	ADJ
fis-2233	113	39	and	and	CCONJ
fis-2233	113	40	torsion	torsion	NOUN
fis-2233	113	41	loading	loading	NOUN
fis-2233	113	42	,	,	PUNCT
fis-2233	113	43	respectively	respectively	ADV
fis-2233	113	44	.	.	PUNCT
fis-2233	114	1	the	the	DET
fis-2233	114	2	inverse	inverse	NOUN
fis-2233	114	3	slopes	slope	NOUN
fis-2233	114	4	for	for	ADP
fis-2233	114	5	tension	tension	NOUN
fis-2233	114	6	and	and	CCONJ
fis-2233	114	7	torsion	torsion	NOUN
fis-2233	114	8	remain	remain	VERB
fis-2233	114	9	unchanged	unchanged	ADJ
fis-2233	114	10	.	.	PUNCT
fis-2233	115	1	fig	fig	NOUN
fis-2233	115	2	.	.	PUNCT
fis-2233	116	1	3	3	NUM
fis-2233	116	2	considers	consider	VERB
fis-2233	116	3	the	the	DET
fis-2233	116	4	case	case	NOUN
fis-2233	116	5	in	in	ADP
fis-2233	116	6	which	which	PRON
fis-2233	116	7	3aa	3aa	ADJ
fis-2233	116	8			X
fis-2233	116	9			NOUN
fis-2233	116	10	and	and	CCONJ
fis-2233	116	11	kτ	kτ	PROPN
fis-2233	116	12	>	>	PROPN
fis-2233	116	13	kσ	kσ	PROPN
fis-2233	116	14	.	.	PUNCT
fis-2233	117	1	other	other	ADJ
fis-2233	117	2	arrangements	arrangement	NOUN
fis-2233	117	3	of	of	ADP
fis-2233	117	4	s	s	NOUN
fis-2233	117	5	-	-	PUNCT
fis-2233	117	6	n	n	PRON
fis-2233	117	7	lines	line	NOUN
fis-2233	117	8	are	be	AUX
fis-2233	117	9	yet	yet	ADV
fis-2233	117	10	possible	possible	ADJ
fis-2233	117	11	depending	depend	VERB
fis-2233	117	12	on	on	ADP
fis-2233	117	13	the	the	DET
fis-2233	117	14	combination	combination	NOUN
fis-2233	117	15	of	of	ADP
fis-2233	117	16	fatigue	fatigue	NOUN
fis-2233	117	17	properties	property	NOUN
fis-2233	117	18	characterizing	characterize	VERB
fis-2233	117	19	a	a	DET
fis-2233	117	20	specific	specific	ADJ
fis-2233	117	21	material	material	NOUN
fis-2233	117	22	.	.	PUNCT
fis-2233	118	1	the	the	DET
fis-2233	118	2	list	list	NOUN
fis-2233	118	3	in	in	ADP
fis-2233	118	4	tab	tab	NOUN
fis-2233	118	5	.	.	PUNCT
fis-2233	118	6	1	1	NUM
fis-2233	118	7	shows	show	VERB
fis-2233	118	8	that	that	SCONJ
fis-2233	118	9	materials	material	NOUN
fis-2233	118	10	are	be	AUX
fis-2233	118	11	indeed	indeed	ADV
fis-2233	118	12	characterized	characterize	VERB
fis-2233	118	13	by	by	ADP
fis-2233	118	14	s	s	NOUN
fis-2233	118	15	-	-	PUNCT
fis-2233	118	16	n	n	NOUN
fis-2233	118	17	properties	property	NOUN
fis-2233	118	18	over	over	ADP
fis-2233	118	19	a	a	DET
fis-2233	118	20	wide	wide	ADJ
fis-2233	118	21	range	range	NOUN
fis-2233	118	22	[	[	X
fis-2233	118	23	8	8	NUM
fis-2233	118	24	]	]	PUNCT
fis-2233	118	25	.	.	PUNCT
fis-2233	119	1	material	material	PROPN
fis-2233	119	2	ref	ref	NOUN
fis-2233	119	3	.	.	PUNCT
fis-2233	120	1	type	type	NOUN
fis-2233	120	2	of	of	ADP
fis-2233	120	3	loading	loading	NOUN
fis-2233	120	4	σa	σa	PROPN
fis-2233	120	5	τa	τa	ADP
fis-2233	120	6	kσ	kσ	PROPN
fis-2233	120	7	kτ	kτ	PROPN
fis-2233	120	8	σa	σa	PROPN
fis-2233	120	9	/	/	SYM
fis-2233	120	10	τa	τa	PROPN
fis-2233	120	11	kσ	kσ	PROPN
fis-2233	120	12	/	/	SYM
fis-2233	120	13	kτ	kτ	PROPN
fis-2233	120	14	aluminium	aluminium	NOUN
fis-2233	120	15	alloy	alloy	NOUN
fis-2233	120	16	alcumg1	alcumg1	NOUN
fis-2233	121	1	[	[	X
fis-2233	121	2	9	9	NUM
fis-2233	121	3	]	]	SYM
fis-2233	121	4	b	b	NOUN
fis-2233	121	5	,	,	PUNCT
fis-2233	121	6	t	t	PROPN
fis-2233	121	7	161	161	NUM
fis-2233	121	8	97	97	NUM
fis-2233	121	9	7.027	7.027	NUM
fis-2233	121	10	6.868	6.868	NUM
fis-2233	121	11	1.66	1.66	NUM
fis-2233	121	12	0.98	0.98	NUM
fis-2233	121	13	carbon	carbon	NOUN
fis-2233	121	14	steel	steel	NOUN
fis-2233	121	15	c40	c40	NOUN
fis-2233	121	16	(	(	PUNCT
fis-2233	121	17	sae1040	sae1040	PROPN
fis-2233	121	18	)	)	PUNCT
fis-2233	122	1	[	[	X
fis-2233	122	2	10	10	NUM
fis-2233	122	3	]	]	X
fis-2233	122	4	a	a	X
fis-2233	122	5	,	,	PUNCT
fis-2233	122	6	t	t	PROPN
fis-2233	122	7	264.2	264.2	NUM
fis-2233	122	8	195.8	195.8	NUM
fis-2233	122	9	17.09	17.09	NUM
fis-2233	122	10	18.2	18.2	NUM
fis-2233	122	11	1.35	1.35	NUM
fis-2233	122	12	1.06	1.06	NUM
fis-2233	122	13	structural	structural	ADJ
fis-2233	122	14	steel	steel	NOUN
fis-2233	122	15	csn	csn	NOUN
fis-2233	122	16	41	41	NUM
fis-2233	122	17	1523	1523	NUM
fis-2233	122	18	(	(	PUNCT
fis-2233	122	19	s355	s355	PROPN
fis-2233	122	20	type	type	NOUN
fis-2233	122	21	)	)	PUNCT
fis-2233	123	1	[	[	X
fis-2233	123	2	11	11	NUM
fis-2233	123	3	]	]	SYM
fis-2233	123	4	b	b	NOUN
fis-2233	123	5	,	,	PUNCT
fis-2233	123	6	t	t	PROPN
fis-2233	123	7	231.7	231.7	NUM
fis-2233	123	8	144.5	144.5	NUM
fis-2233	123	9	21.21	21.21	NUM
fis-2233	123	10	15.04	15.04	NUM
fis-2233	123	11	1.60	1.60	NUM
fis-2233	123	12	0.71	0.71	NUM
fis-2233	123	13	medium	medium	NOUN
fis-2233	123	14	alloy	alloy	NOUN
fis-2233	123	15	steel	steel	NOUN
fis-2233	123	16	34crmo4	34crmo4	NUM
fis-2233	124	1	[	[	X
fis-2233	124	2	11	11	NUM
fis-2233	124	3	]	]	SYM
fis-2233	124	4	b	b	NOUN
fis-2233	124	5	,	,	PUNCT
fis-2233	124	6	t	t	PROPN
fis-2233	124	7	375	375	NUM
fis-2233	124	8	261.1	261.1	NUM
fis-2233	124	9	15.33	15.33	NUM
fis-2233	124	10	11.36	11.36	NUM
fis-2233	124	11	1.44	1.44	NUM
fis-2233	124	12	0.74	0.74	NUM
fis-2233	124	13	low	low	ADJ
fis-2233	124	14	-	-	PUNCT
fis-2233	124	15	alloy	alloy	NOUN
fis-2233	124	16	steel	steel	NOUN
fis-2233	124	17	s20c	s20c	NOUN
fis-2233	125	1	(	(	PUNCT
fis-2233	125	2	aisi	aisi	PROPN
fis-2233	125	3	1020	1020	NUM
fis-2233	125	4	type	type	NOUN
fis-2233	125	5	)	)	PUNCT
fis-2233	126	1	[	[	X
fis-2233	126	2	9	9	NUM
fis-2233	126	3	]	]	SYM
fis-2233	126	4	b	b	NOUN
fis-2233	126	5	,	,	PUNCT
fis-2233	126	6	t	t	PROPN
fis-2233	126	7	227	227	NUM
fis-2233	126	8	97.8	97.8	NUM
fis-2233	126	9	6.17	6.17	NUM
fis-2233	126	10	6.06	6.06	NUM
fis-2233	126	11	2.32	2.32	NUM
fis-2233	126	12	0.98	0.98	NUM
fis-2233	126	13	aluminium	aluminium	NOUN
fis-2233	126	14	alloy	alloy	NOUN
fis-2233	126	15	d-30	d-30	NOUN
fis-2233	126	16	[	[	X
fis-2233	126	17	9	9	NUM
fis-2233	126	18	]	]	SYM
fis-2233	126	19	b	b	NOUN
fis-2233	126	20	,	,	PUNCT
fis-2233	126	21	t	t	PROPN
fis-2233	126	22	180	180	NUM
fis-2233	126	23	120	120	NUM
fis-2233	126	24	10.753	10.753	NUM
fis-2233	126	25	9.174	9.174	NUM
fis-2233	126	26	1.5	1.5	NUM
fis-2233	126	27	0.85	0.85	NUM
fis-2233	126	28	structural	structural	ADJ
fis-2233	126	29	steel	steel	NOUN
fis-2233	126	30	18g2a	18g2a	NUM
fis-2233	126	31	(	(	PUNCT
fis-2233	126	32	s255	s255	PROPN
fis-2233	126	33	j0	j0	PROPN
fis-2233	126	34	)	)	PUNCT
fis-2233	127	1	[	[	X
fis-2233	127	2	12	12	NUM
fis-2233	127	3	]	]	SYM
fis-2233	127	4	b	b	NOUN
fis-2233	127	5	,	,	PUNCT
fis-2233	127	6	t	t	PROPN
fis-2233	127	7	189.6	189.6	NUM
fis-2233	127	8	141.9	141.9	NUM
fis-2233	127	9	7.9	7.9	NUM
fis-2233	127	10	12.3	12.3	NUM
fis-2233	127	11	1.34	1.34	NUM
fis-2233	127	12	1.56	1.56	NUM
fis-2233	127	13	brass	brass	NOUN
fis-2233	127	14	cuzn40pb2	cuzn40pb2	NOUN
fis-2233	128	1	[	[	X
fis-2233	128	2	9	9	NUM
fis-2233	128	3	]	]	SYM
fis-2233	128	4	b	b	NOUN
fis-2233	128	5	,	,	PUNCT
fis-2233	128	6	t	t	PROPN
fis-2233	128	7	216	216	NUM
fis-2233	128	8	187	187	NUM
fis-2233	128	9	5.857	5.857	NUM
fis-2233	128	10	17.172	17.172	NUM
fis-2233	128	11	1.16	1.16	NUM
fis-2233	128	12	2.93	2.93	NUM
fis-2233	128	13	carbon	carbon	NOUN
fis-2233	128	14	steel	steel	NOUN
fis-2233	128	15	c40	c40	NOUN
fis-2233	128	16	(	(	PUNCT
fis-2233	128	17	sae1040	sae1040	NOUN
fis-2233	128	18	)	)	PUNCT
fis-2233	128	19	*	*	PUNCT
fis-2233	129	1	[	[	X
fis-2233	129	2	10	10	NUM
fis-2233	129	3	]	]	X
fis-2233	129	4	a	a	X
fis-2233	129	5	,	,	PUNCT
fis-2233	129	6	t	t	PROPN
fis-2233	129	7	117.8	117.8	NUM
fis-2233	129	8	152.8	152.8	NUM
fis-2233	129	9	4.62	4.62	NUM
fis-2233	129	10	8.2	8.2	NUM
fis-2233	129	11	0.77	0.77	NUM
fis-2233	129	12	1.77	1.77	NUM
fis-2233	129	13	carbon	carbon	NOUN
fis-2233	129	14	steel	steel	NOUN
fis-2233	129	15	ck	ck	PROPN
fis-2233	129	16	45	45	NUM
fis-2233	129	17	(	(	PUNCT
fis-2233	129	18	sae1045	sae1045	ADV
fis-2233	129	19	)	)	PUNCT
fis-2233	129	20	*	*	PUNCT
fis-2233	130	1	[	[	X
fis-2233	130	2	13	13	NUM
fis-2233	130	3	]	]	PUNCT
fis-2233	130	4	,	,	PUNCT
fis-2233	130	5	[	[	X
fis-2233	130	6	14	14	NUM
fis-2233	130	7	]	]	SYM
fis-2233	130	8	b	b	PROPN
fis-2233	130	9	,	,	PUNCT
fis-2233	130	10	t	t	PROPN
fis-2233	130	11	357	357	NUM
fis-2233	130	12	226	226	NUM
fis-2233	130	13	7.7	7.7	NUM
fis-2233	130	14	13.4	13.4	NUM
fis-2233	130	15	1.58	1.58	NUM
fis-2233	130	16	1.74	1.74	NUM
fis-2233	130	17	table	table	NOUN
fis-2233	130	18	1	1	NUM
fis-2233	130	19	:	:	PUNCT
fis-2233	130	20	fatigue	fatigue	NOUN
fis-2233	130	21	parameters	parameter	NOUN
fis-2233	130	22	for	for	ADP
fis-2233	130	23	several	several	ADJ
fis-2233	130	24	plain	plain	ADJ
fis-2233	130	25	materials	material	NOUN
fis-2233	130	26	or	or	CCONJ
fis-2233	130	27	notched	notch	VERB
fis-2233	130	28	specimen	speciman	NOUN
fis-2233	130	29	)	)	PUNCT
fis-2233	130	30	.	.	PUNCT
fis-2233	131	1	*	*	PUNCT
fis-2233	131	2	v	v	X
fis-2233	131	3	-	-	PUNCT
fis-2233	131	4	notched	notch	VERB
fis-2233	131	5	(	(	PUNCT
fis-2233	131	6	r=0.5	r=0.5	NOUN
fis-2233	131	7	mm	mm	NOUN
fis-2233	131	8	)	)	PUNCT
fis-2233	131	9	the	the	DET
fis-2233	131	10	reference	reference	NOUN
fis-2233	131	11	s	s	PROPN
fis-2233	131	12	-	-	PUNCT
fis-2233	131	13	n	n	PRON
fis-2233	131	14	line	line	NOUN
fis-2233	131	15	in	in	ADP
fis-2233	131	16	the	the	DET
fis-2233	131	17	mwd	mwd	PROPN
fis-2233	131	18	is	be	AUX
fis-2233	131	19	located	locate	VERB
fis-2233	131	20	by	by	ADP
fis-2233	131	21	the	the	DET
fis-2233	131	22	stress	stress	NOUN
fis-2233	131	23	ratio	ratio	NOUN
fis-2233	131	24	[	[	X
fis-2233	131	25	3,4	3,4	NUM
fis-2233	131	26	]	]	SYM
fis-2233	131	27	:	:	PUNCT
fis-2233	131	28			NOUN
fis-2233	131	29			PROPN
fis-2233	131	30			X
fis-2233	131	31			NOUN
fis-2233	131	32			ADV
fis-2233	131	33			NUM
fis-2233	131	34	3	3	NUM
fis-2233	131	35	1	1	NUM
fis-2233	131	36	,	,	PUNCT
fis-2233	131	37	2	2	NUM
fis-2233	131	38	2	2	NUM
fis-2233	131	39	3	3	NUM
fis-2233	131	40	i	i	PRON
fis-2233	131	41	iip	iip	VERB
fis-2233	131	42	h	h	PROPN
fis-2233	131	43	,	,	PUNCT
fis-2233	131	44	mh	mh	PROPN
fis-2233	131	45	ref	ref	NOUN
fis-2233	132	1	c	c	PROPN
fis-2233	132	2	v	v	PROPN
fis-2233	132	3			NOUN
fis-2233	132	4	(	(	PUNCT
fis-2233	132	5	11	11	NUM
fis-2233	132	6	)	)	PUNCT
fis-2233	132	7	which	which	PRON
fis-2233	132	8	is	be	AUX
fis-2233	132	9	a	a	DET
fis-2233	132	10	function	function	NOUN
fis-2233	132	11	of	of	ADP
fis-2233	132	12	the	the	DET
fis-2233	132	13	mean	mean	ADJ
fis-2233	132	14	value	value	NOUN
fis-2233	132	15	σh	σh	PROPN
fis-2233	132	16	,	,	PUNCT
fis-2233	132	17	m	m	NOUN
fis-2233	132	18	and	and	CCONJ
fis-2233	132	19	variance	variance	PROPN
fis-2233	132	20	vh	vh	PROPN
fis-2233	132	21	of	of	ADP
fis-2233	132	22	the	the	DET
fis-2233	132	23	hydrostatic	hydrostatic	ADJ
fis-2233	132	24	stress	stress	NOUN
fis-2233	132	25	σh(t	σh(t	PRON
fis-2233	132	26	)	)	PUNCT
fis-2233	132	27	,	,	PUNCT
fis-2233	132	28	and	and	CCONJ
fis-2233	132	29	of	of	ADP
fis-2233	132	30	the	the	DET
fis-2233	132	31	square	square	ADJ
fis-2233	132	32	root	root	NOUN
fis-2233	132	33	of	of	ADP
fis-2233	132	34	the	the	DET
fis-2233	132	35	sum	sum	NOUN
fis-2233	132	36	of	of	ADP
fis-2233	132	37	variances	variance	NOUN
fis-2233	132	38	cp	cp	PROPN
fis-2233	132	39	,	,	PUNCT
fis-2233	132	40	ii	ii	PROPN
fis-2233	132	41	of	of	ADP
fis-2233	132	42	stress	stress	NOUN
fis-2233	132	43	projections	projection	NOUN
fis-2233	132	44	ωp	ωp	PROPN
fis-2233	132	45	,	,	PUNCT
fis-2233	132	46	i(t	i(t	PROPN
fis-2233	132	47	)	)	PUNCT
fis-2233	132	48	.	.	PUNCT
fis-2233	133	1	parameter	parameter	PROPN
fis-2233	133	2	ρref	ρref	PROPN
fis-2233	133	3	only	only	ADV
fis-2233	133	4	depends	depend	VERB
fis-2233	133	5	on	on	ADP
fis-2233	133	6	the	the	DET
fis-2233	133	7	multiaxial	multiaxial	ADJ
fis-2233	133	8	stress	stress	NOUN
fis-2233	133	9	,	,	PUNCT
fis-2233	133	10	not	not	PART
fis-2233	133	11	on	on	ADP
fis-2233	133	12	material	material	NOUN
fis-2233	133	13	.	.	PUNCT
fis-2233	134	1	in	in	ADP
fis-2233	134	2	eq	eq	ADP
fis-2233	134	3	.	.	PUNCT
fis-2233	135	1	(	(	PUNCT
fis-2233	135	2	11	11	NUM
fis-2233	135	3	)	)	PUNCT
fis-2233	135	4	,	,	PUNCT
fis-2233	135	5	the	the	DET
fis-2233	135	6	numerator	numerator	NOUN
fis-2233	135	7	approximates	approximate	VERB
fis-2233	135	8	the	the	DET
fis-2233	135	9	maximum	maximum	NOUN
fis-2233	135	10	of	of	ADP
fis-2233	135	11	hydrostatic	hydrostatic	ADJ
fis-2233	135	12	stress	stress	NOUN
fis-2233	135	13	,	,	PUNCT
fis-2233	135	14	whereas	whereas	SCONJ
fis-2233	135	15	the	the	DET
fis-2233	135	16	denominator	denominator	NOUN
fis-2233	135	17	estimates	estimate	VERB
fis-2233	135	18	the	the	DET
fis-2233	135	19	equivalent	equivalent	ADJ
fis-2233	135	20	amplitude	amplitude	NOUN
fis-2233	135	21	of	of	ADP
fis-2233	135	22	cycles	cycle	NOUN
fis-2233	135	23	counted	count	VERB
fis-2233	135	24	in	in	ADP
fis-2233	135	25	each	each	DET
fis-2233	135	26	projection	projection	NOUN
fis-2233	135	27	.	.	PUNCT
fis-2233	136	1	if	if	SCONJ
fis-2233	136	2	all	all	DET
fis-2233	136	3	stress	stress	NOUN
fis-2233	136	4	components	component	NOUN
fis-2233	136	5	have	have	VERB
fis-2233	136	6	a	a	DET
fis-2233	136	7	zero	zero	NUM
fis-2233	136	8	mean	mean	NOUN
fis-2233	136	9	value	value	NOUN
fis-2233	136	10	,	,	PUNCT
fis-2233	136	11	it	it	PRON
fis-2233	136	12	is	be	AUX
fis-2233	136	13	σh	σh	PROPN
fis-2233	136	14	,	,	PUNCT
fis-2233	136	15	m=0	m=0	PROPN
fis-2233	136	16	.	.	PUNCT
fis-2233	137	1	in	in	ADP
fis-2233	137	2	case	case	NOUN
fis-2233	137	3	of	of	ADP
fis-2233	137	4	constant	constant	ADJ
fis-2233	137	5	amplitude	amplitude	NOUN
fis-2233	137	6	multiaxial	multiaxial	ADJ
fis-2233	137	7	loading	loading	NOUN
fis-2233	137	8	(	(	PUNCT
fis-2233	137	9	sinusoidal	sinusoidal	NOUN
fis-2233	137	10	)	)	PUNCT
fis-2233	137	11	,	,	PUNCT
fis-2233	137	12	the	the	DET
fis-2233	137	13	expression	expression	NOUN
fis-2233	137	14	(	(	PUNCT
fis-2233	137	15	11	11	NUM
fis-2233	137	16	)	)	PUNCT
fis-2233	137	17	returns	return	VERB
fis-2233	137	18	the	the	DET
fis-2233	137	19	definition	definition	NOUN
fis-2233	137	20	of	of	ADP
fis-2233	137	21	ρref	ρref	NOUN
fis-2233	137	22	given	give	VERB
fis-2233	137	23	in	in	ADP
fis-2233	137	24	[	[	X
fis-2233	137	25	1,2	1,2	NUM
fis-2233	137	26	]	]	PUNCT
fis-2233	137	27	for	for	ADP
fis-2233	137	28	the	the	DET
fis-2233	137	29	time	time	NOUN
fis-2233	137	30	-	-	PUNCT
fis-2233	137	31	domain	domain	NOUN
fis-2233	137	32	criterion	criterion	NOUN
fis-2233	137	33	.	.	PUNCT
fis-2233	138	1	d.	d.	PROPN
fis-2233	138	2	benasciutti	benasciutti	PROPN
fis-2233	138	3	et	et	PROPN
fis-2233	138	4	alii	alii	PROPN
fis-2233	138	5	,	,	PUNCT
fis-2233	138	6	frattura	frattura	PROPN
fis-2233	138	7	ed	ed	PROPN
fis-2233	138	8	integrità	integrità	PROPN
fis-2233	138	9	strutturale	strutturale	PROPN
fis-2233	138	10	,	,	PUNCT
fis-2233	138	11	47	47	NUM
fis-2233	138	12	(	(	PUNCT
fis-2233	138	13	2019	2019	NUM
fis-2233	138	14	)	)	PUNCT
fis-2233	138	15	348	348	NUM
fis-2233	138	16	-	-	SYM
fis-2233	138	17	366	366	NUM
fis-2233	138	18	;	;	PUNCT
fis-2233	138	19	doi	doi	NOUN
fis-2233	138	20	:	:	PUNCT
fis-2233	138	21	10.3221	10.3221	NUM
fis-2233	138	22	/	/	SYM
fis-2233	138	23	igf	igf	PROPN
fis-2233	138	24	-	-	PUNCT
fis-2233	138	25	esis.47.26	esis.47.26	ADJ
fis-2233	138	26	354	354	NUM
fis-2233	138	27	parameter	parameter	NOUN
fis-2233	138	28	ρref	ρref	NOUN
fis-2233	138	29	quantifies	quantifie	NOUN
fis-2233	138	30	the	the	DET
fis-2233	138	31	relative	relative	ADJ
fis-2233	138	32	contribution	contribution	NOUN
fis-2233	138	33	of	of	ADP
fis-2233	138	34	hydrostatic	hydrostatic	ADJ
fis-2233	138	35	to	to	PART
fis-2233	138	36	deviatoric	deviatoric	VERB
fis-2233	138	37	stress	stress	NOUN
fis-2233	138	38	components	component	NOUN
fis-2233	138	39	in	in	ADP
fis-2233	138	40	a	a	DET
fis-2233	138	41	multiaxial	multiaxial	ADJ
fis-2233	138	42	stress	stress	NOUN
fis-2233	138	43	.	.	PUNCT
fis-2233	139	1	two	two	NUM
fis-2233	139	2	limiting	limit	VERB
fis-2233	139	3	cases	case	NOUN
fis-2233	139	4	exist	exist	VERB
fis-2233	139	5	for	for	ADP
fis-2233	139	6	uniaxial	uniaxial	ADJ
fis-2233	139	7	loading	loading	NOUN
fis-2233	139	8	:	:	PUNCT
fis-2233	139	9	a	a	DET
fis-2233	139	10	stress	stress	NOUN
fis-2233	139	11	ratio	ratio	NOUN
fis-2233	139	12	ρref=1	ρref=1	PROPN
fis-2233	139	13	for	for	ADP
fis-2233	139	14	tension	tension	NOUN
fis-2233	139	15	or	or	CCONJ
fis-2233	139	16	bending	bend	VERB
fis-2233	139	17	(	(	PUNCT
fis-2233	139	18	only	only	ADV
fis-2233	139	19	normal	normal	ADJ
fis-2233	139	20	stress	stress	NOUN
fis-2233	139	21	)	)	PUNCT
fis-2233	139	22	,	,	PUNCT
fis-2233	139	23	ρref=0	ρref=0	PUNCT
fis-2233	140	1	for	for	ADP
fis-2233	140	2	torsion	torsion	NOUN
fis-2233	140	3	(	(	PUNCT
fis-2233	140	4	only	only	ADV
fis-2233	140	5	shear	shear	NOUN
fis-2233	140	6	stress	stress	NOUN
fis-2233	140	7	)	)	PUNCT
fis-2233	140	8	.	.	PUNCT
fis-2233	141	1	a	a	DET
fis-2233	141	2	purely	purely	ADV
fis-2233	141	3	hydrostatic	hydrostatic	ADJ
fis-2233	141	4	state	state	NOUN
fis-2233	141	5	of	of	ADP
fis-2233	141	6	stress	stress	NOUN
fis-2233	141	7	would	would	AUX
fis-2233	141	8	have	have	VERB
fis-2233	141	9	ρref.	ρref.	NOUN
fis-2233	141	10	on	on	ADP
fis-2233	141	11	either	either	CCONJ
fis-2233	141	12	two	two	NUM
fis-2233	141	13	limiting	limit	VERB
fis-2233	141	14	cases	case	NOUN
fis-2233	141	15	(	(	PUNCT
fis-2233	141	16	i.e.	i.e.	X
fis-2233	141	17	ρref	ρref	ADJ
fis-2233	141	18	=	=	NOUN
fis-2233	141	19	0	0	NUM
fis-2233	141	20	or	or	CCONJ
fis-2233	141	21	1	1	NUM
fis-2233	141	22	)	)	PUNCT
fis-2233	141	23	,	,	PUNCT
fis-2233	141	24	the	the	DET
fis-2233	141	25	reference	reference	NOUN
fis-2233	141	26	s	s	PROPN
fis-2233	141	27	-	-	PUNCT
fis-2233	141	28	n	n	PRON
fis-2233	141	29	line	line	NOUN
fis-2233	141	30	coincides	coincide	VERB
fis-2233	141	31	with	with	ADP
fis-2233	141	32	the	the	DET
fis-2233	141	33	line	line	NOUN
fis-2233	141	34	of	of	ADP
fis-2233	141	35	the	the	DET
fis-2233	141	36	corresponding	corresponding	ADJ
fis-2233	141	37	uniaxial	uniaxial	ADJ
fis-2233	141	38	loading	loading	NOUN
fis-2233	141	39	(	(	PUNCT
fis-2233	141	40	tension	tension	NOUN
fis-2233	141	41	or	or	CCONJ
fis-2233	141	42	torsion	torsion	NOUN
fis-2233	141	43	)	)	PUNCT
fis-2233	141	44	.	.	PUNCT
fis-2233	142	1	in	in	ADP
fis-2233	142	2	any	any	DET
fis-2233	142	3	other	other	ADJ
fis-2233	142	4	case	case	NOUN
fis-2233	142	5	in	in	ADP
fis-2233	142	6	which	which	PRON
fis-2233	142	7	the	the	DET
fis-2233	142	8	loading	loading	NOUN
fis-2233	142	9	is	be	AUX
fis-2233	142	10	multiaxial	multiaxial	ADJ
fis-2233	142	11	(	(	PUNCT
fis-2233	142	12	i.e.	i.e.	X
fis-2233	142	13	for	for	ADP
fis-2233	142	14	any	any	DET
fis-2233	142	15	other	other	ADJ
fis-2233	142	16	value	value	NOUN
fis-2233	142	17	0≤ρref≤1	0≤ρref≤1	NUM
fis-2233	142	18	)	)	PUNCT
fis-2233	142	19	,	,	PUNCT
fis-2233	142	20	the	the	DET
fis-2233	142	21	reference	reference	NOUN
fis-2233	142	22	s	s	PROPN
fis-2233	142	23	-	-	PUNCT
fis-2233	142	24	n	n	PRON
fis-2233	142	25	curve	curve	NOUN
fis-2233	142	26	would	would	AUX
fis-2233	142	27	lie	lie	VERB
fis-2233	142	28	between	between	ADP
fis-2233	142	29	those	those	PRON
fis-2233	142	30	for	for	ADP
fis-2233	142	31	tension	tension	NOUN
fis-2233	142	32	and	and	CCONJ
fis-2233	142	33	torsion	torsion	NOUN
fis-2233	142	34	,	,	PUNCT
fis-2233	142	35	its	its	PRON
fis-2233	142	36	position	position	NOUN
fis-2233	142	37	being	be	AUX
fis-2233	142	38	established	establish	VERB
fis-2233	142	39	by	by	ADP
fis-2233	142	40	ρref	ρref	PROPN
fis-2233	142	41	.	.	PUNCT
fis-2233	143	1	figure	figure	VERB
fis-2233	143	2	3	3	NUM
fis-2233	143	3	:	:	PUNCT
fis-2233	143	4	relationship	relationship	NOUN
fis-2233	143	5	between	between	ADP
fis-2233	143	6	s	s	NOUN
fis-2233	143	7	-	-	PUNCT
fis-2233	143	8	n	n	PRON
fis-2233	143	9	lines	line	NOUN
fis-2233	143	10	in	in	ADP
fis-2233	143	11	wöhler	wöhl	ADJ
fis-2233	143	12	diagram	diagram	NOUN
fis-2233	143	13	(	(	PUNCT
fis-2233	143	14	left	left	ADV
fis-2233	143	15	)	)	PUNCT
fis-2233	143	16	and	and	CCONJ
fis-2233	143	17	modified	modify	VERB
fis-2233	143	18	wöhler	wöhl	ADJ
fis-2233	143	19	diagram	diagram	NOUN
fis-2233	143	20	(	(	PUNCT
fis-2233	143	21	right	right	NOUN
fis-2233	143	22	)	)	PUNCT
fis-2233	143	23	.	.	PUNCT
fis-2233	144	1	the	the	DET
fis-2233	144	2	reference	reference	NOUN
fis-2233	144	3	s	s	PROPN
fis-2233	144	4	-	-	PUNCT
fis-2233	144	5	n	n	PRON
fis-2233	144	6	line	line	NOUN
fis-2233	144	7	for	for	ADP
fis-2233	144	8	a	a	DET
fis-2233	144	9	general	general	ADJ
fis-2233	144	10	multiaxial	multiaxial	ADJ
fis-2233	144	11	stress	stress	NOUN
fis-2233	144	12	(	(	PUNCT
fis-2233	144	13	ρ	ρ	NOUN
fis-2233	144	14	=	=	NOUN
fis-2233	144	15	ρref	ρref	NOUN
fis-2233	144	16	)	)	PUNCT
fis-2233	144	17	is	be	AUX
fis-2233	144	18	also	also	ADV
fis-2233	144	19	shown	show	VERB
fis-2233	144	20	.	.	PUNCT
fis-2233	145	1	symbol	symbol	PROPN
fis-2233	145	2	ja	ja	PROPN
fis-2233	145	3	stands	stand	VERB
fis-2233	145	4	for	for	ADP
fis-2233	145	5	a2,j	a2,j	PROPN
fis-2233	145	6	.	.	PUNCT
fis-2233	146	1	in	in	ADP
fis-2233	146	2	a	a	DET
fis-2233	146	3	log	log	NOUN
fis-2233	146	4	-	-	PUNCT
fis-2233	146	5	log	log	NOUN
fis-2233	146	6	diagram	diagram	NOUN
fis-2233	146	7	,	,	PUNCT
fis-2233	146	8	the	the	DET
fis-2233	146	9	reference	reference	NOUN
fis-2233	146	10	s	s	PROPN
fis-2233	146	11	-	-	PUNCT
fis-2233	146	12	n	n	PRON
fis-2233	146	13	line	line	NOUN
fis-2233	146	14	is	be	AUX
fis-2233	146	15	expressed	express	VERB
fis-2233	146	16	by	by	ADP
fis-2233	146	17	the	the	DET
fis-2233	146	18	equation	equation	NOUN
fis-2233	146	19	refcnj	refcnj	VERB
fis-2233	146	20	refk	refk	PROPN
fis-2233	146	21	a	a	PRON
fis-2233	146	22	,	,	PUNCT
fis-2233	146	23	where	where	SCONJ
fis-2233	146	24	cref	cref	NOUN
fis-2233	146	25	=	=	SYM
fis-2233	146	26	na·(ja	na·(ja	PROPN
fis-2233	146	27	,	,	PUNCT
fis-2233	146	28	ref)kref	ref)kref	PROPN
fis-2233	146	29	is	be	AUX
fis-2233	146	30	a	a	DET
fis-2233	146	31	strength	strength	NOUN
fis-2233	146	32	constant	constant	ADJ
fis-2233	146	33	;	;	PUNCT
fis-2233	146	34	ja	ja	PROPN
fis-2233	146	35	,	,	PUNCT
fis-2233	146	36	ref	ref	NOUN
fis-2233	146	37	is	be	AUX
fis-2233	146	38	the	the	DET
fis-2233	146	39	amplitude	amplitude	NOUN
fis-2233	146	40	strength	strength	NOUN
fis-2233	146	41	(	(	PUNCT
fis-2233	146	42	at	at	ADP
fis-2233	146	43	na	na	ADP
fis-2233	146	44	cycles	cycle	NOUN
fis-2233	146	45	)	)	PUNCT
fis-2233	146	46	and	and	CCONJ
fis-2233	146	47	kref	kref	VERB
fis-2233	146	48	the	the	DET
fis-2233	146	49	inverse	inverse	NOUN
fis-2233	146	50	slope	slope	NOUN
fis-2233	146	51	.	.	PUNCT
fis-2233	147	1	they	they	PRON
fis-2233	147	2	are	be	AUX
fis-2233	147	3	linearly	linearly	ADV
fis-2233	147	4	interpolated	interpolate	VERB
fis-2233	147	5	as	as	ADP
fis-2233	147	6	[	[	X
fis-2233	147	7	7	7	NUM
fis-2233	147	8	]	]	X
fis-2233	147	9	:	:	PUNCT
fis-2233	147	10			NOUN
fis-2233	147	11			SYM
fis-2233	147	12			NOUN
fis-2233	147	13			NOUN
fis-2233	147	14			X
fis-2233	147	15			X
fis-2233	147	16			ADP
fis-2233	147	17	kkkk	kkkk	PROPN
fis-2233	147	18	jjjj	jjjj	PROPN
fis-2233	147	19	refref	refref	PROPN
fis-2233	147	20	aarefa	aarefa	PROPN
fis-2233	147	21	,	,	PUNCT
fis-2233	147	22	a	a	DET
fis-2233	147	23	,	,	PUNCT
fis-2233	147	24	ref	ref	NOUN
fis-2233	147	25			PROPN
fis-2233	147	26			PROPN
fis-2233	147	27	,	,	PUNCT
fis-2233	147	28	,	,	PUNCT
fis-2233	147	29	(	(	PUNCT
fis-2233	147	30	12	12	NUM
fis-2233	147	31	)	)	PUNCT
fis-2233	147	32	from	from	ADP
fis-2233	147	33	the	the	DET
fis-2233	147	34	amplitude	amplitude	NOUN
fis-2233	147	35	strengths	strength	NOUN
fis-2233	147	36	ja,	ja,	PROPN
fis-2233	147	37	,	,	PUNCT
fis-2233	147	38	ja	ja	PROPN
fis-2233	147	39	,	,	PUNCT
fis-2233	147	40	τ	τ	PROPN
fis-2233	147	41	and	and	CCONJ
fis-2233	147	42	inverse	inverse	NOUN
fis-2233	147	43	slopes	slope	NOUN
fis-2233	147	44	kσ	kσ	PROPN
fis-2233	147	45	,	,	PUNCT
fis-2233	147	46	kτ	kτ	PROPN
fis-2233	147	47	of	of	ADP
fis-2233	147	48	the	the	DET
fis-2233	147	49	tension	tension	NOUN
fis-2233	147	50	and	and	CCONJ
fis-2233	147	51	torsion	torsion	NOUN
fis-2233	147	52	s	s	NOUN
fis-2233	147	53	-	-	PUNCT
fis-2233	147	54	n	n	PRON
fis-2233	147	55	curves	curve	NOUN
fis-2233	147	56	.	.	PUNCT
fis-2233	148	1	step	step	NOUN
fis-2233	148	2	4	4	NUM
fis-2233	148	3	–	–	PUNCT
fis-2233	148	4	fatigue	fatigue	NOUN
fis-2233	148	5	damage	damage	NOUN
fis-2233	148	6	calculated	calculate	VERB
fis-2233	148	7	for	for	ADP
fis-2233	148	8	each	each	DET
fis-2233	148	9	stress	stress	NOUN
fis-2233	148	10	projection	projection	NOUN
fis-2233	148	11	each	each	DET
fis-2233	148	12	stress	stress	NOUN
fis-2233	148	13	projection	projection	NOUN
fis-2233	148	14	ωp	ωp	PROPN
fis-2233	148	15	,	,	PUNCT
fis-2233	148	16	i(t	i(t	PROPN
fis-2233	148	17	)	)	PUNCT
fis-2233	148	18	,	,	PUNCT
fis-2233	148	19	obtained	obtain	VERB
fis-2233	148	20	in	in	ADP
fis-2233	148	21	step	step	NOUN
fis-2233	148	22	2	2	NUM
fis-2233	148	23	,	,	PUNCT
fis-2233	148	24	is	be	AUX
fis-2233	148	25	a	a	DET
fis-2233	148	26	uniaxial	uniaxial	ADJ
fis-2233	148	27	random	random	ADJ
fis-2233	148	28	stress	stress	NOUN
fis-2233	148	29	.	.	PUNCT
fis-2233	149	1	its	its	PRON
fis-2233	149	2	damage	damage	NOUN
fis-2233	149	3	in	in	ADP
fis-2233	149	4	time	time	NOUN
fis-2233	149	5	unit	unit	NOUN
fis-2233	149	6	(	(	PUNCT
fis-2233	149	7	damage	damage	NOUN
fis-2233	149	8	/	/	SYM
fis-2233	149	9	s	s	NOUN
fis-2233	149	10	)	)	PUNCT
fis-2233	149	11	,	,	PUNCT
fis-2233	149	12	say	say	VERB
fis-2233	149	13	d(ωp	d(ωp	PROPN
fis-2233	149	14	,	,	PUNCT
fis-2233	149	15	i(t	i(t	PROPN
fis-2233	149	16	)	)	PUNCT
fis-2233	149	17	)	)	PUNCT
fis-2233	149	18	,	,	PUNCT
fis-2233	149	19	can	can	AUX
fis-2233	149	20	be	be	AUX
fis-2233	149	21	estimated	estimate	VERB
fis-2233	149	22	in	in	ADP
fis-2233	149	23	the	the	DET
fis-2233	149	24	frequency	frequency	NOUN
fis-2233	149	25	-	-	PUNCT
fis-2233	149	26	domain	domain	NOUN
fis-2233	149	27	by	by	ADP
fis-2233	149	28	uniaxial	uniaxial	ADJ
fis-2233	149	29	spectral	spectral	ADJ
fis-2233	149	30	methods	method	NOUN
fis-2233	149	31	.	.	PUNCT
fis-2233	150	1	no	no	DET
fis-2233	150	2	restriction	restriction	NOUN
fis-2233	150	3	is	be	AUX
fis-2233	150	4	imposed	impose	VERB
fis-2233	150	5	on	on	ADP
fis-2233	150	6	which	which	DET
fis-2233	150	7	method	method	NOUN
fis-2233	150	8	to	to	PART
fis-2233	150	9	use	use	VERB
fis-2233	150	10	from	from	ADP
fis-2233	150	11	those	those	PRON
fis-2233	150	12	available	available	ADJ
fis-2233	150	13	in	in	ADP
fis-2233	150	14	the	the	DET
fis-2233	150	15	literature	literature	NOUN
fis-2233	150	16	[	[	X
fis-2233	150	17	15,16	15,16	NUM
fis-2233	150	18	]	]	PUNCT
fis-2233	150	19	,	,	PUNCT
fis-2233	150	20	although	although	SCONJ
fis-2233	150	21	“	"	PUNCT
fis-2233	150	22	wide	wide	ADJ
fis-2233	150	23	-	-	PUNCT
fis-2233	150	24	band	band	NOUN
fis-2233	150	25	methods	method	NOUN
fis-2233	150	26	”	"	PUNCT
fis-2233	150	27	are	be	AUX
fis-2233	150	28	recommended	recommend	VERB
fis-2233	150	29	if	if	SCONJ
fis-2233	150	30	the	the	DET
fis-2233	150	31	psd	psd	NOUN
fis-2233	150	32	of	of	ADP
fis-2233	150	33	each	each	DET
fis-2233	150	34	projection	projection	NOUN
fis-2233	150	35	ωp	ωp	PROPN
fis-2233	150	36	,	,	PUNCT
fis-2233	150	37	i(t	i(t	PROPN
fis-2233	150	38	)	)	PUNCT
fis-2233	150	39	is	be	AUX
fis-2233	150	40	not	not	PART
fis-2233	150	41	narrow	narrow	ADJ
fis-2233	150	42	-	-	PUNCT
fis-2233	150	43	band	band	NOUN
fis-2233	150	44	.	.	PUNCT
fis-2233	151	1	for	for	ADP
fis-2233	151	2	example	example	NOUN
fis-2233	151	3	,	,	PUNCT
fis-2233	151	4	fairly	fairly	ADV
fis-2233	151	5	accurate	accurate	ADJ
fis-2233	151	6	estimations	estimation	NOUN
fis-2233	151	7	are	be	AUX
fis-2233	151	8	given	give	VERB
fis-2233	151	9	by	by	ADP
fis-2233	151	10	the	the	DET
fis-2233	151	11	“	"	PUNCT
fis-2233	151	12	tovo	tovo	PROPN
fis-2233	151	13	-	-	PUNCT
fis-2233	151	14	benasciutti	benasciutti	NOUN
fis-2233	151	15	(	(	PUNCT
fis-2233	151	16	tb	tb	NOUN
fis-2233	151	17	)	)	PUNCT
fis-2233	151	18	method	method	NOUN
fis-2233	151	19	”	"	PUNCT
fis-2233	152	1	[	[	X
fis-2233	152	2	15,16	15,16	NUM
fis-2233	152	3	]	]	PUNCT
fis-2233	152	4	:	:	PUNCT
fis-2233	152	5			NOUN
fis-2233	152	6			SYM
fis-2233	152	7			NOUN
fis-2233	152	8			PUNCT
fis-2233	152	9			NOUN
fis-2233	152	10			NOUN
fis-2233	152	11			PROPN
fis-2233	152	12			NOUN
fis-2233	152	13			PROPN
fis-2233	152	14			NOUN
fis-2233	152	15			NOUN
fis-2233	152	16			PROPN
fis-2233	152	17	2	2	NUM
fis-2233	152	18	12	12	NUM
fis-2233	152	19	i0	i0	PROPN
fis-2233	152	20	1	1	NUM
fis-2233	152	21	0	0	NUM
fis-2233	152	22	refk	refk	NOUN
fis-2233	152	23	,	,	PUNCT
fis-2233	152	24	ref	ref	NOUN
fis-2233	152	25	,	,	PUNCT
fis-2233	152	26	itb	itb	NOUN
fis-2233	152	27	,	,	PUNCT
fis-2233	152	28	ip	ip	NOUN
fis-2233	152	29	,	,	PUNCT
fis-2233	152	30	itb	itb	NOUN
fis-2233	152	31	k	k	X
fis-2233	152	32	γcd	γcd	NOUN
fis-2233	152	33	ref	ref	X
fis-2233	152	34	(	(	PUNCT
fis-2233	152	35	13	13	NUM
fis-2233	152	36	)	)	PUNCT
fis-2233	152	37	where	where	SCONJ
fis-2233	152	38	γ(-	γ(-	X
fis-2233	152	39	)	)	PUNCT
fis-2233	152	40	is	be	AUX
fis-2233	152	41	the	the	DET
fis-2233	152	42	gamma	gamma	NOUN
fis-2233	152	43	function	function	NOUN
fis-2233	152	44	and	and	CCONJ
fis-2233	152	45	ηtb	ηtb	PROPN
fis-2233	152	46	,	,	PUNCT
fis-2233	152	47	i	i	PRON
fis-2233	152	48	is	be	AUX
fis-2233	152	49	a	a	DET
fis-2233	152	50	correction	correction	NOUN
fis-2233	152	51	factor	factor	NOUN
fis-2233	152	52	that	that	PRON
fis-2233	152	53	accounts	account	VERB
fis-2233	152	54	for	for	ADP
fis-2233	152	55	the	the	DET
fis-2233	152	56	spectral	spectral	ADJ
fis-2233	152	57	bandwidth	bandwidth	NOUN
fis-2233	152	58	of	of	ADP
fis-2233	152	59	sp	sp	NOUN
fis-2233	152	60	,	,	PUNCT
fis-2233	152	61	i(f	i(f	PROPN
fis-2233	152	62	)	)	PUNCT
fis-2233	152	63	and	and	CCONJ
fis-2233	152	64	it	it	PRON
fis-2233	152	65	depends	depend	VERB
fis-2233	152	66	on	on	ADP
fis-2233	152	67	a	a	DET
fis-2233	152	68	proper	proper	ADJ
fis-2233	152	69	weighting	weighting	NOUN
fis-2233	152	70	coefficient	coefficient	NOUN
fis-2233	152	71	bapp	bapp	VERB
fis-2233	152	72	(	(	PUNCT
fis-2233	152	73	for	for	ADP
fis-2233	152	74	their	their	PRON
fis-2233	152	75	expressions	expression	NOUN
fis-2233	152	76	,	,	PUNCT
fis-2233	152	77	see	see	VERB
fis-2233	152	78	[	[	X
fis-2233	152	79	15,16	15,16	NUM
fis-2233	152	80	]	]	PUNCT
fis-2233	152	81	)	)	PUNCT
fis-2233	152	82	.	.	PUNCT
fis-2233	153	1	in	in	ADP
fis-2233	153	2	the	the	DET
fis-2233	153	3	limiting	limit	VERB
fis-2233	153	4	case	case	NOUN
fis-2233	153	5	of	of	ADP
fis-2233	153	6	narrow	narrow	ADJ
fis-2233	153	7	-	-	PUNCT
fis-2233	153	8	band	band	NOUN
fis-2233	153	9	psd	psd	NOUN
fis-2233	153	10	,	,	PUNCT
fis-2233	153	11	ηtb	ηtb	ADJ
fis-2233	153	12	,	,	PUNCT
fis-2233	153	13	i→1	i→1	X
fis-2233	153	14	.	.	PUNCT
fis-2233	153	15	eqn	eqn	PROPN
fis-2233	153	16	.	.	PUNCT
fis-2233	154	1	(	(	PUNCT
fis-2233	154	2	13	13	NUM
fis-2233	154	3	)	)	PUNCT
fis-2233	154	4	has	have	AUX
fis-2233	154	5	been	be	AUX
fis-2233	154	6	proved	prove	VERB
fis-2233	154	7	to	to	PART
fis-2233	154	8	provide	provide	VERB
fis-2233	154	9	estimations	estimation	NOUN
fis-2233	154	10	close	close	ADJ
fis-2233	154	11	to	to	ADP
fis-2233	154	12	those	those	PRON
fis-2233	154	13	from	from	ADP
fis-2233	154	14	dirlik	dirlik	NOUN
fis-2233	154	15	’s	’s	PART
fis-2233	154	16	method	method	NOUN
fis-2233	154	17	,	,	PUNCT
fis-2233	154	18	which	which	PRON
fis-2233	154	19	the	the	DET
fis-2233	154	20	reader	reader	NOUN
fis-2233	154	21	may	may	AUX
fis-2233	154	22	be	be	AUX
fis-2233	154	23	more	more	ADV
fis-2233	154	24	familiar	familiar	ADJ
fis-2233	154	25	to	to	ADP
fis-2233	154	26	[	[	X
fis-2233	154	27	17	17	NUM
fis-2233	154	28	]	]	SYM
fis-2233	154	29	:	:	PUNCT
fis-2233	154	30			NOUN
fis-2233	154	31			SYM
fis-2233	154	32			NOUN
fis-2233	154	33			SYM
fis-2233	154	34			NOUN
fis-2233	155	1			SYM
fis-2233	155	2			NOUN
fis-2233	155	3			ADJ
fis-2233	155	4			PROPN
fis-2233	155	5			PRON
fis-2233	155	6			NOUN
fis-2233	155	7			VERB
fis-2233	155	8			PROPN
fis-2233	155	9			NOUN
fis-2233	155	10			VERB
fis-2233	155	11			PROPN
fis-2233	155	12			NOUN
fis-2233	155	13			PROPN
fis-2233	155	14			NOUN
fis-2233	155	15			PUNCT
fis-2233	156	1	i	i	PROPN
fis-2233	156	2	k	k	PROPN
fis-2233	156	3	ii	ii	PROPN
fis-2233	156	4	refk	refk	NOUN
fis-2233	156	5	ref	ref	NOUN
fis-2233	157	1	k	k	PROPN
fis-2233	157	2	ii	ii	PROPN
fis-2233	157	3	k	k	PROPN
fis-2233	157	4	,	,	PUNCT
fis-2233	157	5	i	i	PRON
fis-2233	157	6	ref	ref	VERB
fis-2233	157	7	p	p	PRON
fis-2233	157	8	,	,	PUNCT
fis-2233	157	9	i	i	PRON
fis-2233	157	10	ipdk	ipdk	VERB
fis-2233	157	11	drd	drd	PROPN
fis-2233	157	12	k	k	PROPN
fis-2233	157	13	kqd	kqd	PROPN
fis-2233	157	14	c	c	PROPN
fis-2233	158	1	d	d	X
fis-2233	158	2	refrefrefref	refrefrefref	NOUN
fis-2233	158	3	,	,	PUNCT
fis-2233	158	4	3,2,10	3,2,10	NUM
fis-2233	158	5	,	,	PUNCT
fis-2233	158	6	2	2	NUM
fis-2233	158	7	121	121	NUM
fis-2233	158	8			NOUN
fis-2233	158	9	(	(	PUNCT
fis-2233	158	10	14	14	NUM
fis-2233	158	11	)	)	PUNCT
fis-2233	158	12	parameters	parameter	NOUN
fis-2233	158	13	d1,i	d1,i	PROPN
fis-2233	158	14	,	,	PUNCT
fis-2233	158	15	d2,i	d2,i	PROPN
fis-2233	158	16	,	,	PUNCT
fis-2233	158	17	d3,i	d3,i	PROPN
fis-2233	158	18	,	,	PUNCT
fis-2233	158	19	qi	qi	PROPN
fis-2233	158	20	,	,	PUNCT
fis-2233	158	21	ri	ri	PROPN
fis-2233	158	22	are	be	AUX
fis-2233	158	23	best	well	ADV
fis-2233	158	24	-	-	PUNCT
fis-2233	158	25	fitting	fit	VERB
fis-2233	158	26	coefficients	coefficient	NOUN
fis-2233	158	27	;	;	PUNCT
fis-2233	158	28	their	their	PRON
fis-2233	158	29	expressions	expression	NOUN
fis-2233	158	30	can	can	AUX
fis-2233	158	31	easily	easily	ADV
fis-2233	158	32	be	be	AUX
fis-2233	158	33	found	find	VERB
fis-2233	158	34	in	in	ADP
fis-2233	158	35	the	the	DET
fis-2233	158	36	literature	literature	NOUN
fis-2233	158	37	(	(	PUNCT
fis-2233	158	38	see	see	VERB
fis-2233	158	39	,	,	PUNCT
fis-2233	158	40	for	for	ADP
fis-2233	158	41	example	example	NOUN
fis-2233	158	42	,	,	PUNCT
fis-2233	158	43	[	[	X
fis-2233	158	44	15	15	NUM
fis-2233	158	45	-	-	SYM
fis-2233	158	46	17	17	NUM
fis-2233	158	47	]	]	PUNCT
fis-2233	158	48	)	)	PUNCT
fis-2233	158	49	.	.	PUNCT
fis-2233	159	1	ja(log	ja(log	PROPN
fis-2233	159	2	)	)	PUNCT
fis-2233	160	1	n	n	CCONJ
fis-2233	160	2	(	(	PUNCT
fis-2233	160	3	log)n	log)n	PROPN
fis-2233	160	4	(	(	PUNCT
fis-2233	160	5	log	log	NOUN
fis-2233	160	6	)	)	PUNCT
fis-2233	160	7	σ	σ	PROPN
fis-2233	160	8	,	,	PUNCT
fis-2233	160	9	τ(log	τ(log	PROPN
fis-2233	160	10	)	)	PUNCT
fis-2233	160	11	σa	σa	NOUN
fis-2233	160	12	ρ=0	ρ=0	SYM
fis-2233	160	13	(	(	PUNCT
fis-2233	160	14	torsion	torsion	NOUN
fis-2233	160	15	)	)	PUNCT
fis-2233	160	16	ρ=1	ρ=1	ADJ
fis-2233	160	17	(	(	PUNCT
fis-2233	160	18	tension	tension	NOUN
fis-2233	160	19	)	)	PUNCT
fis-2233	160	20	ρ	ρ	NOUN
fis-2233	160	21	=	=	PROPN
fis-2233	160	22	ρref	ρref	PROPN
fis-2233	160	23	ja	ja	PROPN
fis-2233	160	24	,	,	PUNCT
fis-2233	160	25	τ	τ	PROPN
fis-2233	160	26	ja,	ja,	PRON
fis-2233	160	27	ja	ja	PROPN
fis-2233	160	28	,	,	PUNCT
fis-2233	160	29	ref	ref	NOUN
fis-2233	160	30	τa	τa	ADP
fis-2233	160	31	torsion	torsion	NOUN
fis-2233	160	32	tension	tension	NOUN
fis-2233	161	1	σa/3	σa/3	CCONJ
fis-2233	161	2	kσ	kσ	PROPN
fis-2233	161	3	kτ	kτ	PROPN
fis-2233	161	4	kref	kref	PROPN
fis-2233	161	5	tension	tension	NOUN
fis-2233	161	6	(	(	PUNCT
fis-2233	161	7	scaled	scale	VERB
fis-2233	161	8	)	)	PUNCT
fis-2233	162	1	kτ	kτ	PROPN
fis-2233	163	1	kσ	kσ	PROPN
fis-2233	163	2	d.	d.	PROPN
fis-2233	163	3	benasciutti	benasciutti	PROPN
fis-2233	163	4	et	et	PROPN
fis-2233	163	5	alii	alii	PROPN
fis-2233	163	6	,	,	PUNCT
fis-2233	163	7	frattura	frattura	PROPN
fis-2233	163	8	ed	ed	PROPN
fis-2233	163	9	integrità	integrità	PROPN
fis-2233	163	10	strutturale	strutturale	PROPN
fis-2233	163	11	,	,	PUNCT
fis-2233	163	12	47	47	NUM
fis-2233	163	13	(	(	PUNCT
fis-2233	163	14	2019	2019	NUM
fis-2233	163	15	)	)	PUNCT
fis-2233	163	16	348	348	NUM
fis-2233	163	17	-	-	SYM
fis-2233	163	18	366	366	NUM
fis-2233	163	19	;	;	PUNCT
fis-2233	163	20	doi	doi	NOUN
fis-2233	163	21	:	:	PUNCT
fis-2233	163	22	10.3221	10.3221	NUM
fis-2233	163	23	/	/	SYM
fis-2233	163	24	igf	igf	PROPN
fis-2233	163	25	-	-	ADJ
fis-2233	163	26	esis.47.26	esis.47.26	ADJ
fis-2233	163	27	355	355	NUM
fis-2233	163	28	step	step	NOUN
fis-2233	163	29	5	5	NUM
fis-2233	163	30	–	–	PUNCT
fis-2233	163	31	estimating	estimate	VERB
fis-2233	163	32	the	the	DET
fis-2233	163	33	total	total	ADJ
fis-2233	163	34	fatigue	fatigue	NOUN
fis-2233	163	35	damage	damage	NOUN
fis-2233	163	36	once	once	SCONJ
fis-2233	163	37	the	the	DET
fis-2233	163	38	fatigue	fatigue	NOUN
fis-2233	163	39	damage	damage	NOUN
fis-2233	163	40	d(ωp	d(ωp	PROPN
fis-2233	163	41	,	,	PUNCT
fis-2233	163	42	i(t	i(t	PROPN
fis-2233	163	43	)	)	PUNCT
fis-2233	163	44	)	)	PUNCT
fis-2233	163	45	for	for	ADP
fis-2233	163	46	every	every	DET
fis-2233	163	47	projection	projection	NOUN
fis-2233	163	48	has	have	AUX
fis-2233	163	49	been	be	AUX
fis-2233	163	50	calculated	calculate	VERB
fis-2233	163	51	,	,	PUNCT
fis-2233	163	52	the	the	DET
fis-2233	163	53	total	total	ADJ
fis-2233	163	54	damage	damage	NOUN
fis-2233	163	55	d(ω	d(ω	PROPN
fis-2233	163	56	)	)	PUNCT
fis-2233	163	57	caused	cause	VERB
fis-2233	163	58	by	by	ADP
fis-2233	163	59	stress	stress	NOUN
fis-2233	163	60	vector	vector	NOUN
fis-2233	163	61	ω(t	ω(t	NOUN
fis-2233	163	62	)	)	PUNCT
fis-2233	163	63	(	(	PUNCT
fis-2233	163	64	which	which	PRON
fis-2233	163	65	coincides	coincide	VERB
fis-2233	163	66	with	with	ADP
fis-2233	163	67	the	the	DET
fis-2233	163	68	damage	damage	NOUN
fis-2233	163	69	of	of	ADP
fis-2233	163	70	the	the	DET
fis-2233	163	71	multiaxial	multiaxial	ADJ
fis-2233	163	72	stress	stress	NOUN
fis-2233	163	73	x(t	x(t	PROPN
fis-2233	163	74	)	)	PUNCT
fis-2233	163	75	)	)	PUNCT
fis-2233	163	76	can	can	AUX
fis-2233	163	77	be	be	AUX
fis-2233	163	78	estimated	estimate	VERB
fis-2233	163	79	by	by	ADP
fis-2233	163	80	the	the	DET
fis-2233	163	81	following	follow	VERB
fis-2233	163	82	expression	expression	NOUN
fis-2233	163	83	:	:	PUNCT
fis-2233	163	84			NOUN
fis-2233	163	85			PROPN
fis-2233	163	86	2	2	NUM
fis-2233	163	87	3	3	NUM
fis-2233	163	88	1i	1i	NOUN
fis-2233	163	89	2	2	NUM
fis-2233	163	90	)	)	PUNCT
fis-2233	163	91	(	(	PUNCT
fis-2233	163	92	ref	ref	NOUN
fis-2233	163	93	ref	ref	VERB
fis-2233	164	1	k	k	PROPN
fis-2233	164	2	k	k	PROPN
fis-2233	164	3	p	p	X
fis-2233	164	4	,	,	PUNCT
fis-2233	164	5	idd	idd	X
fis-2233	164	6			NOUN
fis-2233	164	7			PROPN
fis-2233	165	1			PROPN
fis-2233	165	2			PROPN
fis-2233	165	3			X
fis-2233	165	4			NOUN
fis-2233	165	5			NOUN
fis-2233	165	6			NOUN
fis-2233	165	7			NOUN
fis-2233	165	8			PROPN
fis-2233	165	9			NOUN
fis-2233	165	10			NOUN
fis-2233	165	11			PROPN
fis-2233	165	12			PROPN
fis-2233	165	13			PROPN
fis-2233	165	14			NOUN
fis-2233	165	15			PUNCT
fis-2233	165	16			X
fis-2233	166	1			NUM
fis-2233	166	2	(	(	PUNCT
fis-2233	166	3	15	15	NUM
fis-2233	166	4	)	)	PUNCT
fis-2233	166	5	this	this	DET
fis-2233	166	6	expression	expression	NOUN
fis-2233	166	7	employs	employ	VERB
fis-2233	166	8	a	a	DET
fis-2233	166	9	non	non	ADJ
fis-2233	166	10	-	-	ADJ
fis-2233	166	11	linear	linear	ADJ
fis-2233	166	12	combination	combination	NOUN
fis-2233	166	13	rule	rule	NOUN
fis-2233	166	14	to	to	PART
fis-2233	166	15	handle	handle	VERB
fis-2233	166	16	damaging	damaging	ADJ
fis-2233	166	17	events	event	NOUN
fis-2233	166	18	in	in	ADP
fis-2233	166	19	uncorrelated	uncorrelated	ADJ
fis-2233	166	20	stress	stress	NOUN
fis-2233	166	21	projections	projection	NOUN
fis-2233	166	22	.	.	PUNCT
fis-2233	167	1	this	this	DET
fis-2233	167	2	law	law	NOUN
fis-2233	167	3	is	be	AUX
fis-2233	167	4	able	able	ADJ
fis-2233	167	5	to	to	PART
fis-2233	167	6	account	account	VERB
fis-2233	167	7	for	for	ADP
fis-2233	167	8	the	the	DET
fis-2233	167	9	phase	phase	NOUN
fis-2233	167	10	shift	shift	NOUN
fis-2233	167	11	between	between	ADP
fis-2233	167	12	stress	stress	NOUN
fis-2233	167	13	components	component	NOUN
fis-2233	167	14	.	.	PUNCT
fis-2233	168	1	its	its	PRON
fis-2233	168	2	validity	validity	NOUN
fis-2233	168	3	versus	versus	ADP
fis-2233	168	4	experimental	experimental	ADJ
fis-2233	168	5	data	datum	NOUN
fis-2233	168	6	has	have	AUX
fis-2233	168	7	been	be	AUX
fis-2233	168	8	checked	check	VERB
fis-2233	168	9	in	in	ADP
fis-2233	168	10	previous	previous	ADJ
fis-2233	168	11	publications	publication	NOUN
fis-2233	169	1	[	[	X
fis-2233	169	2	3	3	NUM
fis-2233	169	3	]	]	PUNCT
fis-2233	169	4	.	.	PUNCT
fis-2233	170	1	eqn	eqn	PROPN
fis-2233	170	2	.	.	PUNCT
fis-2233	171	1	(	(	PUNCT
fis-2233	171	2	15	15	NUM
fis-2233	171	3	)	)	PUNCT
fis-2233	171	4	is	be	AUX
fis-2233	171	5	very	very	ADV
fis-2233	171	6	general	general	ADJ
fis-2233	171	7	.	.	PUNCT
fis-2233	172	1	its	its	PRON
fis-2233	172	2	mathematical	mathematical	ADJ
fis-2233	172	3	expression	expression	NOUN
fis-2233	172	4	depends	depend	VERB
fis-2233	172	5	on	on	ADP
fis-2233	172	6	the	the	DET
fis-2233	172	7	particular	particular	ADJ
fis-2233	172	8	spectral	spectral	ADJ
fis-2233	172	9	method	method	NOUN
fis-2233	172	10	used	use	VERB
fis-2233	172	11	for	for	ADP
fis-2233	172	12	estimating	estimate	VERB
fis-2233	172	13	d(ωp	d(ωp	NOUN
fis-2233	172	14	,	,	PUNCT
fis-2233	172	15	i(t	i(t	PROPN
fis-2233	172	16	)	)	PUNCT
fis-2233	172	17	)	)	PUNCT
fis-2233	172	18	.	.	PUNCT
fis-2233	173	1	if	if	SCONJ
fis-2233	173	2	the	the	DET
fis-2233	173	3	“	"	PUNCT
fis-2233	173	4	tb	tb	ADP
fis-2233	173	5	method	method	NOUN
fis-2233	173	6	”	"	PUNCT
fis-2233	173	7	is	be	AUX
fis-2233	173	8	considered	consider	VERB
fis-2233	173	9	:	:	PUNCT
fis-2233	173	10			NOUN
fis-2233	173	11			SYM
fis-2233	173	12			NOUN
fis-2233	173	13			NOUN
fis-2233	173	14			NOUN
fis-2233	173	15	ref	ref	NOUN
fis-2233	173	16	ref	ref	NOUN
fis-2233	173	17	k	k	PROPN
fis-2233	173	18	k	k	PROPN
fis-2233	173	19	,	,	PUNCT
fis-2233	173	20	itb	itb	NOUN
fis-2233	173	21	,	,	PUNCT
fis-2233	173	22	i	i	PRON
fis-2233	173	23	ref	ref	AUX
fis-2233	173	24	reftb	reftb	VERB
fis-2233	173	25	k	k	PROPN
fis-2233	173	26	γcd	γcd	PROPN
fis-2233	174	1			PROPN
fis-2233	174	2			INTJ
fis-2233	175	1			PROPN
fis-2233	175	2			INTJ
fis-2233	175	3			NUM
fis-2233	175	4			ADP
fis-2233	175	5			VERB
fis-2233	175	6			VERB
fis-2233	176	1			PROPN
fis-2233	176	2			PROPN
fis-2233	176	3			PROPN
fis-2233	176	4			NOUN
fis-2233	176	5			NOUN
fis-2233	176	6			X
fis-2233	177	1			NUM
fis-2233	177	2			PROPN
fis-2233	177	3	3	3	NUM
fis-2233	177	4	1i	1i	NOUN
fis-2233	177	5	2	2	NUM
fis-2233	177	6	0i0	0i0	NUM
fis-2233	177	7	,	,	PUNCT
fis-2233	177	8	1	1	NUM
fis-2233	177	9	2	2	NUM
fis-2233	177	10	2	2	NUM
fis-2233	177	11	1	1	NUM
fis-2233	177	12			PROPN
fis-2233	177	13	(	(	PUNCT
fis-2233	177	14	16	16	NUM
fis-2233	177	15	)	)	PUNCT
fis-2233	177	16	the	the	DET
fis-2233	177	17	dirlik	dirlik	NOUN
fis-2233	177	18	’s	’s	PART
fis-2233	177	19	method	method	NOUN
fis-2233	177	20	yields	yield	NOUN
fis-2233	177	21	,	,	PUNCT
fis-2233	177	22	instead	instead	ADV
fis-2233	177	23	,	,	PUNCT
fis-2233	177	24	a	a	DET
fis-2233	177	25	slightly	slightly	ADV
fis-2233	177	26	more	more	ADV
fis-2233	177	27	complex	complex	ADJ
fis-2233	177	28	equation	equation	NOUN
fis-2233	177	29	:	:	PUNCT
fis-2233	177	30			NOUN
fis-2233	177	31			SYM
fis-2233	177	32			NOUN
fis-2233	177	33			SYM
fis-2233	177	34			NOUN
fis-2233	177	35			PUNCT
fis-2233	177	36			NOUN
fis-2233	177	37			PROPN
fis-2233	177	38	2	2	NUM
fis-2233	177	39	3	3	NUM
fis-2233	177	40	1i	1i	NOUN
fis-2233	177	41	2	2	NUM
fis-2233	177	42	,	,	PUNCT
fis-2233	177	43	3,2,1i0	3,2,1i0	NUM
fis-2233	177	44	,	,	PUNCT
fis-2233	177	45	2	2	NUM
fis-2233	177	46	ip	ip	NOUN
fis-2233	177	47	,	,	PUNCT
fis-2233	177	48	1	1	NUM
fis-2233	177	49	2	2	NUM
fis-2233	177	50	121	121	NUM
fis-2233	177	51	ref	ref	NOUN
fis-2233	177	52	ref	ref	NOUN
fis-2233	177	53	refrefrefref	refrefrefref	PROPN
fis-2233	178	1	k	k	PROPN
fis-2233	178	2	k	k	PROPN
fis-2233	179	1	i	i	PRON
fis-2233	179	2	k	k	PROPN
fis-2233	179	3	ii	ii	PROPN
fis-2233	179	4	refk	refk	NOUN
fis-2233	179	5	ref	ref	NOUN
fis-2233	179	6	k	k	PROPN
fis-2233	179	7	ii	ii	PROPN
fis-2233	179	8	k	k	PROPN
fis-2233	179	9	refdk	refdk	PROPN
fis-2233	179	10	drd	drd	PROPN
fis-2233	179	11	k	k	PROPN
fis-2233	179	12	kqdcd	kqdcd	PROPN
fis-2233	180	1			X
fis-2233	180	2			X
fis-2233	180	3			NUM
fis-2233	180	4			NOUN
fis-2233	180	5			PROPN
fis-2233	180	6			NUM
fis-2233	180	7			PROPN
fis-2233	180	8			NUM
fis-2233	180	9			NUM
fis-2233	180	10			ADV
fis-2233	180	11			PROPN
fis-2233	180	12			PROPN
fis-2233	181	1			PROPN
fis-2233	181	2			NOUN
fis-2233	182	1			PROPN
fis-2233	183	1			PROPN
fis-2233	184	1			PROPN
fis-2233	184	2			PROPN
fis-2233	185	1			PROPN
fis-2233	185	2			NOUN
fis-2233	185	3			PROPN
fis-2233	185	4			PROPN
fis-2233	185	5			PRON
fis-2233	185	6			NOUN
fis-2233	185	7			VERB
fis-2233	185	8			PROPN
fis-2233	185	9			NOUN
fis-2233	185	10			VERB
fis-2233	185	11			PROPN
fis-2233	185	12			PROPN
fis-2233	185	13			PROPN
fis-2233	185	14			NOUN
fis-2233	185	15			NOUN
fis-2233	185	16			X
fis-2233	185	17			NUM
fis-2233	185	18			PROPN
fis-2233	185	19			PROPN
fis-2233	185	20	(	(	PUNCT
fis-2233	185	21	17	17	NUM
fis-2233	185	22	)	)	PUNCT
fis-2233	185	23	the	the	DET
fis-2233	185	24	fatigue	fatigue	NOUN
fis-2233	185	25	life	life	NOUN
fis-2233	185	26	(	(	PUNCT
fis-2233	185	27	time	time	NOUN
fis-2233	185	28	to	to	ADP
fis-2233	185	29	failure	failure	NOUN
fis-2233	185	30	)	)	PUNCT
fis-2233	185	31	is	be	AUX
fis-2233	185	32	tf	tf	NOUN
fis-2233	185	33	=	=	PROPN
fis-2233	185	34	dcr	dcr	X
fis-2233	185	35	/	/	SYM
fis-2233	185	36	d(ω	d(ω	PROPN
fis-2233	185	37	)	)	PUNCT
fis-2233	185	38	,	,	PUNCT
fis-2233	185	39	where	where	SCONJ
fis-2233	185	40	dcr	dcr	PROPN
fis-2233	185	41	is	be	AUX
fis-2233	185	42	a	a	DET
fis-2233	185	43	critical	critical	ADJ
fis-2233	185	44	damage	damage	NOUN
fis-2233	185	45	value	value	NOUN
fis-2233	185	46	(=	(=	NOUN
fis-2233	185	47	1	1	NUM
fis-2233	185	48	in	in	ADP
fis-2233	185	49	palmgren	palmgren	NOUN
fis-2233	185	50	-	-	PUNCT
fis-2233	185	51	miner	miner	NOUN
fis-2233	185	52	rule	rule	NOUN
fis-2233	185	53	)	)	PUNCT
fis-2233	185	54	.	.	PUNCT
fis-2233	186	1	as	as	ADP
fis-2233	186	2	a	a	DET
fis-2233	186	3	final	final	ADJ
fis-2233	186	4	remark	remark	NOUN
fis-2233	186	5	,	,	PUNCT
fis-2233	186	6	it	it	PRON
fis-2233	186	7	is	be	AUX
fis-2233	186	8	worth	worth	ADJ
fis-2233	186	9	to	to	PART
fis-2233	186	10	observe	observe	VERB
fis-2233	186	11	that	that	SCONJ
fis-2233	186	12	the	the	DET
fis-2233	186	13	pbp	pbp	NOUN
fis-2233	186	14	criterion	criterion	NOUN
fis-2233	186	15	provides	provide	VERB
fis-2233	186	16	damage	damage	NOUN
fis-2233	186	17	estimations	estimation	NOUN
fis-2233	186	18	that	that	PRON
fis-2233	186	19	are	be	AUX
fis-2233	186	20	consistent	consistent	ADJ
fis-2233	186	21	with	with	ADP
fis-2233	186	22	those	those	PRON
fis-2233	186	23	for	for	ADP
fis-2233	186	24	simple	simple	ADJ
fis-2233	186	25	uniaxial	uniaxial	ADJ
fis-2233	186	26	random	random	ADJ
fis-2233	186	27	loadings	loading	NOUN
fis-2233	186	28	(	(	PUNCT
fis-2233	186	29	tension	tension	NOUN
fis-2233	186	30	or	or	CCONJ
fis-2233	186	31	torsion	torsion	NOUN
fis-2233	186	32	)	)	PUNCT
fis-2233	186	33	.	.	PUNCT
fis-2233	187	1	for	for	ADP
fis-2233	187	2	a	a	DET
fis-2233	187	3	pure	pure	ADJ
fis-2233	187	4	axial	axial	ADJ
fis-2233	187	5	loading	loading	NOUN
fis-2233	187	6	(	(	PUNCT
fis-2233	187	7	e.g.	e.g.	ADV
fis-2233	187	8	σxx(t)≠0	σxx(t)≠0	NOUN
fis-2233	187	9	and	and	CCONJ
fis-2233	187	10	σyy(t)=τxy(t)=0	σyy(t)=τxy(t)=0	NOUN
fis-2233	187	11	)	)	PUNCT
fis-2233	187	12	,	,	PUNCT
fis-2233	187	13	the	the	DET
fis-2233	187	14	only	only	ADJ
fis-2233	187	15	non	non	ADJ
fis-2233	187	16	-	-	ADJ
fis-2233	187	17	null	null	ADJ
fis-2233	187	18	deviatoric	deviatoric	ADJ
fis-2233	187	19	component	component	NOUN
fis-2233	187	20	is	be	AUX
fis-2233	187	21	c'11	c'11	NOUN
fis-2233	187	22	=	=	X
fis-2233	187	23	vxx/3	vxx/3	PROPN
fis-2233	187	24	,	,	PUNCT
fis-2233	187	25	while	while	SCONJ
fis-2233	187	26	the	the	DET
fis-2233	187	27	variance	variance	NOUN
fis-2233	187	28	of	of	ADP
fis-2233	187	29	hydrostatic	hydrostatic	ADJ
fis-2233	187	30	stress	stress	NOUN
fis-2233	187	31	is	be	AUX
fis-2233	187	32	vh	vh	PROPN
fis-2233	187	33	=	=	PROPN
fis-2233	187	34	vxx/9	vxx/9	PROPN
fis-2233	187	35	,	,	PUNCT
fis-2233	187	36	which	which	PRON
fis-2233	187	37	results	result	VERB
fis-2233	187	38	in	in	ADP
fis-2233	187	39	ρref=1	ρref=1	PROPN
fis-2233	187	40	and	and	CCONJ
fis-2233	187	41	3	3	NUM
fis-2233	187	42	/	/	SYM
fis-2233	187	43	refa	refa	NOUN
fis-2233	187	44	,	,	PUNCT
fis-2233	187	45	aj	aj	PROPN
fis-2233	187	46			PROPN
fis-2233	187	47	,	,	PUNCT
fis-2233	187	48	kref	kref	PROPN
fis-2233	187	49	=	=	SYM
fis-2233	187	50	kσ	kσ	PROPN
fis-2233	187	51	.	.	PUNCT
fis-2233	188	1	the	the	DET
fis-2233	188	2	only	only	ADJ
fis-2233	188	3	non	non	ADJ
fis-2233	188	4	-	-	ADJ
fis-2233	188	5	null	null	ADJ
fis-2233	188	6	projection	projection	NOUN
fis-2233	188	7	is	be	AUX
fis-2233	188	8	3/)()(1	3/)()(1	NUM
fis-2233	188	9	tt	tt	PROPN
fis-2233	188	10	xxp	xxp	PROPN
fis-2233	188	11	,	,	PUNCT
fis-2233	188	12			NUM
fis-2233	188	13	and	and	CCONJ
fis-2233	188	14	the	the	DET
fis-2233	188	15	total	total	ADJ
fis-2233	188	16	damage	damage	NOUN
fis-2233	188	17	d(ω)=d1(ωp,1(t	d(ω)=d1(ωp,1(t	NOUN
fis-2233	188	18	)	)	PUNCT
fis-2233	188	19	)	)	PUNCT
fis-2233	189	1	equals	equal	VERB
fis-2233	189	2	the	the	DET
fis-2233	189	3	damage	damage	NOUN
fis-2233	189	4	that	that	PRON
fis-2233	189	5	would	would	AUX
fis-2233	189	6	be	be	AUX
fis-2233	189	7	obtained	obtain	VERB
fis-2233	189	8	by	by	ADP
fis-2233	189	9	applying	apply	VERB
fis-2233	189	10	eqs	eqs	PROPN
fis-2233	189	11	.	.	PUNCT
fis-2233	190	1	(	(	PUNCT
fis-2233	190	2	13	13	NUM
fis-2233	190	3	)	)	PUNCT
fis-2233	190	4	or	or	CCONJ
fis-2233	190	5	(	(	PUNCT
fis-2233	190	6	14	14	NUM
fis-2233	190	7	)	)	PUNCT
fis-2233	190	8	to	to	ADP
fis-2233	190	9	the	the	DET
fis-2233	190	10	uniaxial	uniaxial	ADJ
fis-2233	190	11	random	random	ADJ
fis-2233	190	12	stress	stress	NOUN
fis-2233	190	13	σxx(t	σxx(t	PROPN
fis-2233	190	14	)	)	PUNCT
fis-2233	190	15	.	.	PUNCT
fis-2233	191	1	for	for	ADP
fis-2233	191	2	a	a	DET
fis-2233	191	3	pure	pure	ADJ
fis-2233	191	4	torsion	torsion	NOUN
fis-2233	191	5	loading	loading	NOUN
fis-2233	191	6	(	(	PUNCT
fis-2233	191	7	τxy(t)≠0	τxy(t)≠0	PROPN
fis-2233	191	8	and	and	CCONJ
fis-2233	191	9	σxx(t)=σyy(t)=0	σxx(t)=σyy(t)=0	VERB
fis-2233	191	10	)	)	PUNCT
fis-2233	191	11	,	,	PUNCT
fis-2233	191	12	the	the	DET
fis-2233	191	13	only	only	ADJ
fis-2233	191	14	non	non	ADJ
fis-2233	191	15	-	-	ADJ
fis-2233	191	16	null	null	ADJ
fis-2233	191	17	projection	projection	NOUN
fis-2233	191	18	is	be	AUX
fis-2233	191	19	ωp,3(t)=τxy(t	ωp,3(t)=τxy(t	NOUN
fis-2233	191	20	)	)	PUNCT
fis-2233	191	21	,	,	PUNCT
fis-2233	191	22	while	while	SCONJ
fis-2233	191	23	the	the	DET
fis-2233	191	24	hydrostatic	hydrostatic	ADJ
fis-2233	191	25	stress	stress	NOUN
fis-2233	191	26	is	be	AUX
fis-2233	191	27	zero	zero	NUM
fis-2233	191	28	(	(	PUNCT
fis-2233	191	29	vh=0	vh=0	NOUN
fis-2233	191	30	)	)	PUNCT
fis-2233	191	31	and	and	CCONJ
fis-2233	191	32	ρref=0	ρref=0	X
fis-2233	191	33	.	.	PUNCT
fis-2233	192	1	the	the	DET
fis-2233	192	2	reference	reference	NOUN
fis-2233	192	3	s	s	PROPN
fis-2233	192	4	-	-	PUNCT
fis-2233	192	5	n	n	PRON
fis-2233	192	6	line	line	NOUN
fis-2233	192	7	thus	thus	ADV
fis-2233	192	8	coincides	coincide	VERB
fis-2233	192	9	with	with	ADP
fis-2233	192	10	the	the	DET
fis-2233	192	11	torsion	torsion	NOUN
fis-2233	192	12	line	line	NOUN
fis-2233	192	13	(	(	PUNCT
fis-2233	192	14	ja	ja	PROPN
fis-2233	192	15	,	,	PUNCT
fis-2233	192	16	ref	ref	NOUN
fis-2233	192	17	=	=	SYM
fis-2233	192	18	τa	τa	ADJ
fis-2233	192	19	,	,	PUNCT
fis-2233	192	20	kref	kref	PROPN
fis-2233	192	21	=	=	SYM
fis-2233	192	22	kτ	kτ	NOUN
fis-2233	192	23	)	)	PUNCT
fis-2233	192	24	,	,	PUNCT
fis-2233	192	25	while	while	SCONJ
fis-2233	192	26	the	the	DET
fis-2233	192	27	total	total	ADJ
fis-2233	192	28	damage	damage	NOUN
fis-2233	192	29	d(ω)=d3(ωp,3(t	d(ω)=d3(ωp,3(t	NOUN
fis-2233	192	30	)	)	PUNCT
fis-2233	192	31	)	)	PUNCT
fis-2233	192	32	matches	match	VERB
fis-2233	192	33	the	the	DET
fis-2233	192	34	damage	damage	NOUN
fis-2233	192	35	of	of	ADP
fis-2233	192	36	the	the	DET
fis-2233	192	37	shear	shear	NOUN
fis-2233	192	38	stress	stress	NOUN
fis-2233	192	39	.	.	PUNCT
fis-2233	193	1	practical	practical	ADJ
fis-2233	193	2	implementation	implementation	NOUN
fis-2233	193	3	of	of	ADP
fis-2233	193	4	pbp	pbp	NOUN
fis-2233	193	5	criterion	criterion	NOUN
fis-2233	193	6	:	:	PUNCT
fis-2233	193	7	numerical	numerical	ADJ
fis-2233	193	8	examples	example	NOUN
fis-2233	193	9	test	test	NOUN
fis-2233	193	10	cases	case	NOUN
fis-2233	193	11	with	with	ADP
fis-2233	193	12	biaxial	biaxial	ADJ
fis-2233	193	13	stress	stress	NOUN
fis-2233	193	14	o	o	NOUN
fis-2233	193	15	further	far	ADV
fis-2233	193	16	clarify	clarify	VERB
fis-2233	193	17	the	the	DET
fis-2233	193	18	analysis	analysis	NOUN
fis-2233	193	19	steps	step	NOUN
fis-2233	193	20	sketched	sketch	VERB
fis-2233	193	21	in	in	ADP
fis-2233	193	22	fig	fig	NOUN
fis-2233	193	23	.	.	PUNCT
fis-2233	194	1	1	1	NUM
fis-2233	194	2	,	,	PUNCT
fis-2233	194	3	the	the	DET
fis-2233	194	4	pbp	pbp	NOUN
fis-2233	194	5	method	method	NOUN
fis-2233	194	6	is	be	AUX
fis-2233	194	7	now	now	ADV
fis-2233	194	8	applied	apply	VERB
fis-2233	194	9	to	to	ADP
fis-2233	194	10	some	some	DET
fis-2233	194	11	simple	simple	ADJ
fis-2233	194	12	case	case	NOUN
fis-2233	194	13	studies	study	NOUN
fis-2233	194	14	,	,	PUNCT
fis-2233	194	15	in	in	ADP
fis-2233	194	16	which	which	PRON
fis-2233	194	17	4	4	NUM
fis-2233	194	18	types	type	NOUN
fis-2233	194	19	of	of	ADP
fis-2233	194	20	biaxial	biaxial	NOUN
fis-2233	194	21	stress	stress	NOUN
fis-2233	194	22	are	be	AUX
fis-2233	194	23	combined	combine	VERB
fis-2233	194	24	with	with	ADP
fis-2233	194	25	3	3	NUM
fis-2233	194	26	types	type	NOUN
fis-2233	194	27	of	of	ADP
fis-2233	194	28	material	material	NOUN
fis-2233	194	29	fatigue	fatigue	NOUN
fis-2233	194	30	properties	property	NOUN
fis-2233	194	31	.	.	PUNCT
fis-2233	195	1	the	the	DET
fis-2233	195	2	decision	decision	NOUN
fis-2233	195	3	to	to	PART
fis-2233	195	4	use	use	VERB
fis-2233	195	5	simple	simple	ADJ
fis-2233	195	6	case	case	NOUN
fis-2233	195	7	studies	study	NOUN
fis-2233	195	8	is	be	AUX
fis-2233	195	9	no	no	DET
fis-2233	195	10	coincidence	coincidence	NOUN
fis-2233	195	11	.	.	PUNCT
fis-2233	196	1	in	in	ADP
fis-2233	196	2	fact	fact	NOUN
fis-2233	196	3	,	,	PUNCT
fis-2233	196	4	it	it	PRON
fis-2233	196	5	permits	permit	VERB
fis-2233	196	6	a	a	DET
fis-2233	196	7	much	much	ADV
fis-2233	196	8	clearer	clear	ADJ
fis-2233	196	9	monitoring	monitoring	NOUN
fis-2233	196	10	of	of	ADP
fis-2233	196	11	results	result	NOUN
fis-2233	196	12	in	in	ADP
fis-2233	196	13	each	each	DET
fis-2233	196	14	analysis	analysis	NOUN
fis-2233	196	15	step	step	NOUN
fis-2233	196	16	,	,	PUNCT
fis-2233	196	17	which	which	PRON
fis-2233	196	18	in	in	ADP
fis-2233	196	19	turn	turn	NOUN
fis-2233	196	20	makes	make	VERB
fis-2233	196	21	the	the	DET
fis-2233	196	22	understanding	understanding	NOUN
fis-2233	196	23	of	of	ADP
fis-2233	196	24	the	the	DET
fis-2233	196	25	pbp	pbp	NOUN
fis-2233	196	26	method	method	NOUN
fis-2233	196	27	much	much	ADV
fis-2233	196	28	easier	easy	ADJ
fis-2233	196	29	.	.	PUNCT
fis-2233	197	1	on	on	ADP
fis-2233	197	2	the	the	DET
fis-2233	197	3	other	other	ADJ
fis-2233	197	4	hand	hand	NOUN
fis-2233	197	5	,	,	PUNCT
fis-2233	197	6	the	the	DET
fis-2233	197	7	case	case	NOUN
fis-2233	197	8	studies	study	NOUN
fis-2233	197	9	here	here	ADV
fis-2233	197	10	analyzed	analyze	VERB
fis-2233	197	11	–	–	PUNCT
fis-2233	197	12	though	though	SCONJ
fis-2233	197	13	simple	simple	ADJ
fis-2233	197	14	–	–	PUNCT
fis-2233	197	15	do	do	AUX
fis-2233	197	16	synthesize	synthesize	VERB
fis-2233	197	17	combinations	combination	NOUN
fis-2233	197	18	of	of	ADP
fis-2233	197	19	materials	material	NOUN
fis-2233	197	20	and	and	CCONJ
fis-2233	197	21	stress	stress	NOUN
fis-2233	197	22	states	state	NOUN
fis-2233	197	23	that	that	PRON
fis-2233	197	24	are	be	AUX
fis-2233	197	25	actually	actually	ADV
fis-2233	197	26	encountered	encounter	VERB
fis-2233	197	27	in	in	ADP
fis-2233	197	28	mechanical	mechanical	ADJ
fis-2233	197	29	components	component	NOUN
fis-2233	197	30	subjected	subject	VERB
fis-2233	197	31	to	to	ADP
fis-2233	197	32	multiaxial	multiaxial	ADJ
fis-2233	197	33	loadings	loading	NOUN
fis-2233	197	34	.	.	PUNCT
fis-2233	198	1	the	the	DET
fis-2233	198	2	examples	example	NOUN
fis-2233	198	3	,	,	PUNCT
fis-2233	198	4	in	in	ADP
fis-2233	198	5	particular	particular	ADJ
fis-2233	198	6	,	,	PUNCT
fis-2233	198	7	are	be	AUX
fis-2233	198	8	also	also	ADV
fis-2233	198	9	specifically	specifically	ADV
fis-2233	198	10	conceived	conceive	VERB
fis-2233	198	11	so	so	ADV
fis-2233	198	12	to	to	PART
fis-2233	198	13	better	well	ADV
fis-2233	198	14	emphasize	emphasize	VERB
fis-2233	198	15	some	some	DET
fis-2233	198	16	peculiarities	peculiarity	NOUN
fis-2233	198	17	of	of	ADP
fis-2233	198	18	the	the	DET
fis-2233	198	19	pbp	pbp	NOUN
fis-2233	198	20	method	method	NOUN
fis-2233	198	21	.	.	PUNCT
fis-2233	199	1	each	each	DET
fis-2233	199	2	biaxial	biaxial	NOUN
fis-2233	199	3	stress	stress	NOUN
fis-2233	199	4	has	have	VERB
fis-2233	199	5	components	component	NOUN
fis-2233	199	6	σxx(t	σxx(t	PROPN
fis-2233	199	7	)	)	PUNCT
fis-2233	199	8	,	,	PUNCT
fis-2233	199	9	σyy(t	σyy(t	PROPN
fis-2233	199	10	)	)	PUNCT
fis-2233	199	11	,	,	PUNCT
fis-2233	199	12	τxy(t	τxy(t	PROPN
fis-2233	199	13	)	)	PUNCT
fis-2233	199	14	that	that	PRON
fis-2233	199	15	are	be	AUX
fis-2233	199	16	zero	zero	NUM
fis-2233	199	17	-	-	PUNCT
fis-2233	199	18	mean	mean	ADJ
fis-2233	199	19	stationary	stationary	NOUN
fis-2233	199	20	and	and	CCONJ
fis-2233	199	21	gaussian	gaussian	ADJ
fis-2233	199	22	,	,	PUNCT
fis-2233	199	23	and	and	CCONJ
fis-2233	199	24	with	with	ADP
fis-2233	199	25	a	a	DET
fis-2233	199	26	band	band	NOUN
fis-2233	199	27	-	-	PUNCT
fis-2233	199	28	limited	limit	VERB
fis-2233	199	29	rectangular	rectangular	ADJ
fis-2233	199	30	psd	psd	NOUN
fis-2233	199	31	,	,	PUNCT
fis-2233	199	32	see	see	VERB
fis-2233	199	33	fig	fig	NOUN
fis-2233	199	34	.	.	PUNCT
fis-2233	200	1	4	4	X
fis-2233	200	2	.	.	X
fis-2233	200	3	also	also	ADV
fis-2233	200	4	the	the	DET
fis-2233	200	5	use	use	NOUN
fis-2233	200	6	of	of	ADP
fis-2233	200	7	a	a	DET
fis-2233	200	8	rectangular	rectangular	ADJ
fis-2233	200	9	psd	psd	NOUN
fis-2233	200	10	,	,	PUNCT
fis-2233	200	11	in	in	ADP
fis-2233	200	12	place	place	NOUN
fis-2233	200	13	of	of	ADP
fis-2233	200	14	other	other	ADJ
fis-2233	200	15	more	more	ADV
fis-2233	200	16	realistic	realistic	ADJ
fis-2233	200	17	(	(	PUNCT
fis-2233	200	18	but	but	CCONJ
fis-2233	200	19	irregular	irregular	ADJ
fis-2233	200	20	)	)	PUNCT
fis-2233	200	21	spectra	spectra	NOUN
fis-2233	200	22	,	,	PUNCT
fis-2233	200	23	contributes	contribute	VERB
fis-2233	200	24	to	to	PART
fis-2233	200	25	make	make	VERB
fis-2233	200	26	results	result	NOUN
fis-2233	200	27	much	much	ADV
fis-2233	200	28	easier	easy	ADJ
fis-2233	200	29	to	to	PART
fis-2233	200	30	be	be	AUX
fis-2233	200	31	understood	understand	VERB
fis-2233	200	32	.	.	PUNCT
fis-2233	201	1	the	the	DET
fis-2233	201	2	rectangular	rectangular	ADJ
fis-2233	201	3	one	one	NUM
fis-2233	201	4	-	-	PUNCT
fis-2233	201	5	sided	side	VERB
fis-2233	201	6	psds	psds	NOUN
fis-2233	201	7	are	be	AUX
fis-2233	201	8	centered	center	VERB
fis-2233	201	9	on	on	ADP
fis-2233	201	10	frequency	frequency	NOUN
fis-2233	201	11	fc=30	fc=30	PROPN
fis-2233	201	12	hz	hz	VERB
fis-2233	201	13	and	and	CCONJ
fis-2233	201	14	are	be	AUX
fis-2233	201	15	characterized	characterize	VERB
fis-2233	201	16	by	by	ADP
fis-2233	201	17	a	a	DET
fis-2233	201	18	fixed	fix	VERB
fis-2233	201	19	maximum	maximum	ADJ
fis-2233	201	20	-	-	PUNCT
fis-2233	201	21	to	to	ADP
fis-2233	201	22	-	-	PUNCT
fis-2233	201	23	minimum	minimum	NOUN
fis-2233	201	24	ratio	ratio	NOUN
fis-2233	201	25	fmax	fmax	PROPN
fis-2233	201	26	/	/	SYM
fis-2233	201	27	fmin=15	fmin=15	PROPN
fis-2233	201	28	,	,	PUNCT
fis-2233	201	29	which	which	PRON
fis-2233	201	30	guarantees	guarantee	VERB
fis-2233	201	31	that	that	SCONJ
fis-2233	201	32	psds	psds	NOUN
fis-2233	201	33	are	be	AUX
fis-2233	201	34	wide	wide	ADJ
fis-2233	201	35	-	-	PUNCT
fis-2233	201	36	band	band	NOUN
fis-2233	201	37	with	with	ADP
fis-2233	201	38	α1=	α1=	PROPN
fis-2233	201	39	0.893	0.893	NUM
fis-2233	201	40	,	,	PUNCT
fis-2233	201	41	α2=	α2=	NOUN
fis-2233	201	42	0.771	0.771	NUM
fis-2233	201	43	(	(	PUNCT
fis-2233	201	44	these	these	DET
fis-2233	201	45	parameters	parameter	NOUN
fis-2233	201	46	remain	remain	VERB
fis-2233	201	47	unchanged	unchanged	ADJ
fis-2233	201	48	for	for	ADP
fis-2233	201	49	the	the	DET
fis-2233	201	50	power	power	NOUN
fis-2233	201	51	spectra	spectra	NOUN
fis-2233	201	52	of	of	ADP
fis-2233	201	53	deviatoric	deviatoric	ADJ
fis-2233	201	54	and	and	CCONJ
fis-2233	201	55	hydrostatic	hydrostatic	ADJ
fis-2233	201	56	stress	stress	NOUN
fis-2233	201	57	,	,	PUNCT
fis-2233	201	58	t	t	PROPN
fis-2233	201	59	d.	d.	PROPN
fis-2233	201	60	benasciutti	benasciutti	PROPN
fis-2233	201	61	et	et	PROPN
fis-2233	201	62	alii	alii	PROPN
fis-2233	201	63	,	,	PUNCT
fis-2233	201	64	frattura	frattura	PROPN
fis-2233	201	65	ed	ed	PROPN
fis-2233	201	66	integrità	integrità	PROPN
fis-2233	201	67	strutturale	strutturale	PROPN
fis-2233	201	68	,	,	PUNCT
fis-2233	201	69	47	47	NUM
fis-2233	201	70	(	(	PUNCT
fis-2233	201	71	2019	2019	NUM
fis-2233	201	72	)	)	PUNCT
fis-2233	201	73	348	348	NUM
fis-2233	201	74	-	-	SYM
fis-2233	201	75	366	366	NUM
fis-2233	201	76	;	;	PUNCT
fis-2233	201	77	doi	doi	NOUN
fis-2233	201	78	:	:	PUNCT
fis-2233	201	79	10.3221	10.3221	NUM
fis-2233	201	80	/	/	SYM
fis-2233	201	81	igf	igf	PROPN
fis-2233	201	82	-	-	ADJ
fis-2233	201	83	esis.47.26	esis.47.26	ADJ
fis-2233	201	84	356	356	NUM
fis-2233	201	85	as	as	SCONJ
fis-2233	201	86	we	we	PRON
fis-2233	201	87	as	as	ADP
fis-2233	201	88	for	for	ADP
fis-2233	201	89	stress	stress	NOUN
fis-2233	201	90	projections	projection	NOUN
fis-2233	201	91	)	)	PUNCT
fis-2233	201	92	.	.	PUNCT
fis-2233	202	1	being	be	AUX
fis-2233	202	2	the	the	DET
fis-2233	202	3	frequency	frequency	NOUN
fis-2233	202	4	range	range	NOUN
fis-2233	202	5	fixed	fix	VERB
fis-2233	202	6	,	,	PUNCT
fis-2233	202	7	each	each	DET
fis-2233	202	8	psd	psd	NOUN
fis-2233	202	9	is	be	AUX
fis-2233	202	10	fully	fully	ADV
fis-2233	202	11	defined	define	VERB
fis-2233	202	12	by	by	ADP
fis-2233	202	13	the	the	DET
fis-2233	202	14	height	height	NOUN
fis-2233	202	15	h	h	NOUN
fis-2233	202	16	of	of	ADP
fis-2233	202	17	each	each	DET
fis-2233	202	18	rectangle	rectangle	NOUN
fis-2233	202	19	.	.	PUNCT
fis-2233	203	1	through	through	ADP
fis-2233	203	2	the	the	DET
fis-2233	203	3	rectangle	rectangle	NOUN
fis-2233	203	4	area	area	NOUN
fis-2233	203	5	,	,	PUNCT
fis-2233	203	6	the	the	DET
fis-2233	203	7	height	height	NOUN
fis-2233	203	8	controls	control	VERB
fis-2233	203	9	the	the	DET
fis-2233	203	10	variance	variance	NOUN
fis-2233	203	11	vii	vii	PROPN
fis-2233	203	12	=	=	SYM
fis-2233	203	13	hi	hi	PROPN
fis-2233	203	14	,	,	PUNCT
fis-2233	203	15	i·(fmax	i·(fmax	NOUN
fis-2233	203	16	–	–	PUNCT
fis-2233	203	17	fmin	fmin	NOUN
fis-2233	203	18	)	)	PUNCT
fis-2233	203	19	of	of	ADP
fis-2233	203	20	auto	auto	NOUN
fis-2233	203	21	-	-	PUNCT
fis-2233	203	22	psds	psds	NOUN
fis-2233	203	23	and	and	CCONJ
fis-2233	203	24	the	the	DET
fis-2233	203	25	covariance	covariance	NOUN
fis-2233	203	26	cij	cij	PROPN
fis-2233	203	27	=	=	PROPN
fis-2233	203	28	hi	hi	PROPN
fis-2233	203	29	,	,	PUNCT
fis-2233	203	30	j·(fmax	j·(fmax	PROPN
fis-2233	203	31	–	–	PUNCT
fis-2233	203	32	fmin	fmin	NOUN
fis-2233	203	33	)	)	PUNCT
fis-2233	203	34	of	of	ADP
fis-2233	203	35	cross	cross	NOUN
fis-2233	203	36	-	-	ADJ
fis-2233	203	37	psds	psds	ADJ
fis-2233	203	38	(	(	PUNCT
fis-2233	203	39	subscript	subscript	NOUN
fis-2233	203	40	i	i	PRON
fis-2233	203	41	and	and	CCONJ
fis-2233	203	42	j	j	PROPN
fis-2233	203	43	stands	stand	VERB
fis-2233	203	44	for	for	ADP
fis-2233	203	45	the	the	DET
fis-2233	203	46	stress	stress	NOUN
fis-2233	203	47	component	component	NOUN
fis-2233	203	48	xx	xx	PROPN
fis-2233	203	49	,	,	PUNCT
fis-2233	203	50	yy	yy	PROPN
fis-2233	203	51	and	and	CCONJ
fis-2233	203	52	xy	xy	NOUN
fis-2233	203	53	)	)	PUNCT
fis-2233	203	54	.	.	PUNCT
fis-2233	204	1	it	it	PRON
fis-2233	204	2	is	be	AUX
fis-2233	204	3	easy	easy	ADJ
fis-2233	204	4	to	to	PART
fis-2233	204	5	derive	derive	VERB
fis-2233	204	6	the	the	DET
fis-2233	204	7	relationship	relationship	NOUN
fis-2233	204	8	jjiijiji	jjiijiji	PROPN
fis-2233	204	9	hhrh	hhrh	PROPN
fis-2233	204	10	,	,	PUNCT
fis-2233	204	11	,	,	PUNCT
fis-2233	204	12	,	,	PUNCT
fis-2233	204	13	,	,	PUNCT
fis-2233	204	14			PROPN
fis-2233	204	15	between	between	ADP
fis-2233	204	16	the	the	DET
fis-2233	204	17	cross	cross	ADJ
fis-2233	204	18	-	-	ADJ
fis-2233	204	19	psd	psd	ADJ
fis-2233	204	20	height	height	NOUN
fis-2233	204	21	and	and	CCONJ
fis-2233	204	22	the	the	DET
fis-2233	204	23	correlation	correlation	NOUN
fis-2233	204	24	coefficient	coefficient	NOUN
fis-2233	204	25	ri	ri	PROPN
fis-2233	204	26	,	,	PUNCT
fis-2233	204	27	j.	j.	PROPN
fis-2233	205	1	the	the	DET
fis-2233	205	2	height	height	NOUN
fis-2233	205	3	hi	hi	INTJ
fis-2233	205	4	,	,	PUNCT
fis-2233	205	5	j	j	PROPN
fis-2233	205	6	is	be	AUX
fis-2233	205	7	then	then	ADV
fis-2233	205	8	bounded	bound	VERB
fis-2233	205	9	as	as	ADP
fis-2233	205	10	jiji	jiji	PROPN
fis-2233	205	11	hhh	hhh	PROPN
fis-2233	205	12			X
fis-2233	205	13	,	,	PUNCT
fis-2233	205	14	0	0	NUM
fis-2233	205	15	,	,	PUNCT
fis-2233	205	16	see	see	VERB
fis-2233	205	17	fig	fig	NOUN
fis-2233	205	18	.	.	PUNCT
fis-2233	206	1	4	4	X
fis-2233	206	2	.	.	X
fis-2233	206	3	the	the	DET
fis-2233	206	4	cross	cross	ADJ
fis-2233	206	5	-	-	ADJ
fis-2233	206	6	psd	psd	ADJ
fis-2233	206	7	height	height	NOUN
fis-2233	206	8	varies	vary	VERB
fis-2233	206	9	according	accord	VERB
fis-2233	206	10	to	to	ADP
fis-2233	206	11	the	the	DET
fis-2233	206	12	different	different	ADJ
fis-2233	206	13	correlation	correlation	NOUN
fis-2233	206	14	degrees	degree	NOUN
fis-2233	206	15	in	in	ADP
fis-2233	206	16	the	the	DET
fis-2233	206	17	range	range	NOUN
fis-2233	206	18	ri	ri	PROPN
fis-2233	206	19	,	,	PUNCT
fis-2233	206	20	j=01	j=01	PROPN
fis-2233	206	21	.	.	PROPN
fis-2233	206	22	figure	figure	NOUN
fis-2233	206	23	4	4	NUM
fis-2233	206	24	:	:	PUNCT
fis-2233	206	25	example	example	NOUN
fis-2233	206	26	of	of	ADP
fis-2233	206	27	one	one	NUM
fis-2233	206	28	-	-	PUNCT
fis-2233	206	29	sided	side	VERB
fis-2233	206	30	autoand	autoand	NOUN
fis-2233	206	31	cross	cross	NOUN
fis-2233	206	32	-	-	NOUN
fis-2233	206	33	psd	psd	ADJ
fis-2233	206	34	for	for	ADP
fis-2233	206	35	a	a	DET
fis-2233	206	36	tension	tension	NOUN
fis-2233	206	37	-	-	PUNCT
fis-2233	206	38	torsion	torsion	NOUN
fis-2233	206	39	loading	loading	NOUN
fis-2233	206	40	with	with	ADP
fis-2233	206	41	non	non	ADJ
fis-2233	206	42	-	-	ADJ
fis-2233	206	43	zero	zero	NUM
fis-2233	206	44	correlation	correlation	NOUN
fis-2233	206	45	rxx	rxx	VERB
fis-2233	206	46	,	,	PUNCT
fis-2233	206	47	xy	xy	PROPN
fis-2233	206	48	(	(	PUNCT
fis-2233	206	49	stress	stress	NOUN
fis-2233	206	50	case	case	NOUN
fis-2233	206	51	3	3	NUM
fis-2233	206	52	)	)	PUNCT
fis-2233	206	53	.	.	PUNCT
fis-2233	207	1	combining	combine	VERB
fis-2233	207	2	the	the	DET
fis-2233	207	3	stress	stress	NOUN
fis-2233	207	4	cases	case	NOUN
fis-2233	207	5	(	(	PUNCT
fis-2233	207	6	1	1	NUM
fis-2233	207	7	,	,	PUNCT
fis-2233	207	8	2	2	NUM
fis-2233	207	9	,	,	PUNCT
fis-2233	207	10	3	3	NUM
fis-2233	207	11	,	,	PUNCT
fis-2233	207	12	4	4	NUM
fis-2233	207	13	)	)	PUNCT
fis-2233	207	14	in	in	ADP
fis-2233	207	15	tab	tab	NOUN
fis-2233	207	16	.	.	PUNCT
fis-2233	207	17	2	2	NUM
fis-2233	207	18	with	with	ADP
fis-2233	207	19	the	the	DET
fis-2233	207	20	materials	material	NOUN
fis-2233	207	21	models	model	NOUN
fis-2233	207	22	(	(	PUNCT
fis-2233	207	23	a	a	DET
fis-2233	207	24	,	,	PUNCT
fis-2233	207	25	b	b	NOUN
fis-2233	207	26	,	,	PUNCT
fis-2233	207	27	c	c	NOUN
fis-2233	207	28	)	)	PUNCT
fis-2233	207	29	in	in	ADP
fis-2233	207	30	tab	tab	NOUN
fis-2233	207	31	.	.	PUNCT
fis-2233	208	1	3	3	NUM
fis-2233	208	2	results	result	NOUN
fis-2233	208	3	in	in	ADP
fis-2233	208	4	the	the	DET
fis-2233	208	5	whole	whole	ADJ
fis-2233	208	6	set	set	NOUN
fis-2233	208	7	of	of	ADP
fis-2233	208	8	load	load	NOUN
fis-2233	208	9	cases	case	NOUN
fis-2233	208	10	(	(	PUNCT
fis-2233	208	11	1a	1a	NOUN
fis-2233	208	12	,	,	PUNCT
fis-2233	208	13	2a	2a	NUM
fis-2233	208	14	,	,	PUNCT
fis-2233	208	15	3b	3b	NUM
fis-2233	208	16	,	,	PUNCT
fis-2233	208	17	…	…	PUNCT
fis-2233	208	18	)	)	PUNCT
fis-2233	208	19	in	in	ADP
fis-2233	208	20	tab	tab	NOUN
fis-2233	208	21	.	.	PUNCT
fis-2233	208	22	4	4	NUM
fis-2233	208	23	,	,	PUNCT
fis-2233	208	24	which	which	PRON
fis-2233	208	25	are	be	AUX
fis-2233	208	26	examined	examine	VERB
fis-2233	208	27	in	in	ADP
fis-2233	208	28	the	the	DET
fis-2233	208	29	numerical	numerical	ADJ
fis-2233	208	30	examples	example	NOUN
fis-2233	208	31	.	.	PUNCT
fis-2233	209	1	the	the	DET
fis-2233	209	2	stress	stress	NOUN
fis-2233	209	3	cases	case	NOUN
fis-2233	209	4	in	in	ADP
fis-2233	209	5	tab	tab	NOUN
fis-2233	209	6	.	.	PUNCT
fis-2233	209	7	2	2	NUM
fis-2233	209	8	are	be	AUX
fis-2233	209	9	:	:	PUNCT
fis-2233	209	10			PRON
fis-2233	209	11	case	case	NOUN
fis-2233	209	12	1	1	NUM
fis-2233	209	13	:	:	PUNCT
fis-2233	209	14	proportional	proportional	ADJ
fis-2233	209	15	normal	normal	ADJ
fis-2233	209	16	stresses	stress	NOUN
fis-2233	209	17	σxx(t	σxx(t	PROPN
fis-2233	209	18	)	)	PUNCT
fis-2233	209	19	,	,	PUNCT
fis-2233	209	20	σyy(t	σyy(t	PROPN
fis-2233	209	21	)	)	PUNCT
fis-2233	209	22	,	,	PUNCT
fis-2233	209	23	i.e.	i.e.	X
fis-2233	209	24	correlation	correlation	NOUN
fis-2233	209	25	degree	degree	NOUN
fis-2233	209	26	equal	equal	ADJ
fis-2233	209	27	to	to	ADP
fis-2233	209	28	one	one	NUM
fis-2233	209	29	(	(	PUNCT
fis-2233	209	30	“	"	PUNCT
fis-2233	209	31	in	in	ADP
fis-2233	209	32	-	-	PUNCT
fis-2233	209	33	phase	phase	NOUN
fis-2233	209	34	loading	loading	NOUN
fis-2233	209	35	”	"	PUNCT
fis-2233	209	36	)	)	PUNCT
fis-2233	209	37	;	;	PUNCT
fis-2233	209	38			PRON
fis-2233	209	39	case	case	NOUN
fis-2233	209	40	2	2	NUM
fis-2233	209	41	:	:	PUNCT
fis-2233	209	42	not	not	PART
fis-2233	209	43	-	-	PUNCT
fis-2233	209	44	proportional	proportional	ADJ
fis-2233	209	45	normal	normal	ADJ
fis-2233	209	46	stresses	stress	NOUN
fis-2233	209	47	σxx(t	σxx(t	PROPN
fis-2233	209	48	)	)	PUNCT
fis-2233	209	49	,	,	PUNCT
fis-2233	209	50	σyy(t	σyy(t	PROPN
fis-2233	209	51	)	)	PUNCT
fis-2233	209	52	,	,	PUNCT
fis-2233	209	53	i.e.	i.e.	X
fis-2233	209	54	correlation	correlation	NOUN
fis-2233	209	55	degree	degree	NOUN
fis-2233	209	56	equal	equal	ADJ
fis-2233	209	57	to	to	ADP
fis-2233	209	58	zero	zero	NUM
fis-2233	209	59	(	(	PUNCT
fis-2233	209	60	“	"	PUNCT
fis-2233	209	61	out	out	ADP
fis-2233	209	62	-	-	PUNCT
fis-2233	209	63	of	of	ADP
fis-2233	209	64	-	-	PUNCT
fis-2233	209	65	phase	phase	NOUN
fis-2233	209	66	loading	loading	NOUN
fis-2233	209	67	”	"	PUNCT
fis-2233	209	68	)	)	PUNCT
fis-2233	209	69	;	;	PUNCT
fis-2233	209	70			PRON
fis-2233	209	71	case	case	NOUN
fis-2233	209	72	3	3	NUM
fis-2233	209	73	:	:	PUNCT
fis-2233	209	74	tension	tension	NOUN
fis-2233	209	75	-	-	PUNCT
fis-2233	209	76	torsion	torsion	NOUN
fis-2233	209	77	loading	loading	NOUN
fis-2233	209	78	with	with	ADP
fis-2233	209	79	proportional	proportional	ADJ
fis-2233	209	80	stresses	stress	NOUN
fis-2233	209	81	σxx(t	σxx(t	PROPN
fis-2233	209	82	)	)	PUNCT
fis-2233	209	83	,	,	PUNCT
fis-2233	209	84	τxy(t	τxy(t	PROPN
fis-2233	209	85	)	)	PUNCT
fis-2233	209	86	,	,	PUNCT
fis-2233	209	87	i.e.	i.e.	X
fis-2233	209	88	correlation	correlation	NOUN
fis-2233	209	89	degree	degree	NOUN
fis-2233	209	90	equal	equal	ADJ
fis-2233	209	91	to	to	ADP
fis-2233	209	92	one	one	NUM
fis-2233	209	93	;	;	PUNCT
fis-2233	209	94			DET
fis-2233	209	95	case	case	NOUN
fis-2233	209	96	4	4	NUM
fis-2233	209	97	:	:	PUNCT
fis-2233	209	98	tension	tension	NOUN
fis-2233	209	99	-	-	PUNCT
fis-2233	209	100	torsion	torsion	NOUN
fis-2233	209	101	loading	loading	NOUN
fis-2233	209	102	with	with	ADP
fis-2233	209	103	not	not	PART
fis-2233	209	104	-	-	PUNCT
fis-2233	209	105	proportional	proportional	ADJ
fis-2233	209	106	stresses	stress	NOUN
fis-2233	209	107	σxx(t	σxx(t	PROPN
fis-2233	209	108	)	)	PUNCT
fis-2233	209	109	,	,	PUNCT
fis-2233	209	110	τxy(t	τxy(t	PROPN
fis-2233	209	111	)	)	PUNCT
fis-2233	209	112	,	,	PUNCT
fis-2233	209	113	i.e.	i.e.	X
fis-2233	209	114	correlation	correlation	NOUN
fis-2233	209	115	degree	degree	NOUN
fis-2233	209	116	equal	equal	ADJ
fis-2233	209	117	to	to	ADP
fis-2233	209	118	zero	zero	NUM
fis-2233	209	119	.	.	PUNCT
fis-2233	210	1	all	all	ADV
fis-2233	210	2	through	through	ADP
fis-2233	210	3	the	the	DET
fis-2233	210	4	examples	example	NOUN
fis-2233	210	5	,	,	PUNCT
fis-2233	210	6	the	the	DET
fis-2233	210	7	normal	normal	ADJ
fis-2233	210	8	stresses	stress	NOUN
fis-2233	210	9	have	have	VERB
fis-2233	210	10	variance	variance	NOUN
fis-2233	210	11	vxx	vxx	NOUN
fis-2233	210	12	=	=	NOUN
fis-2233	210	13	vyy=3	vyy=3	NOUN
fis-2233	210	14	and	and	CCONJ
fis-2233	210	15	the	the	DET
fis-2233	210	16	shearing	shearing	NOUN
fis-2233	210	17	stress	stress	NOUN
fis-2233	210	18	vxy=1	vxy=1	PROPN
fis-2233	210	19	,	,	PUNCT
fis-2233	210	20	so	so	SCONJ
fis-2233	210	21	that	that	SCONJ
fis-2233	210	22	all	all	DET
fis-2233	210	23	components	component	NOUN
fis-2233	210	24	of	of	ADP
fis-2233	210	25	the	the	DET
fis-2233	210	26	stress	stress	NOUN
fis-2233	210	27	deviator	deviator	NOUN
fis-2233	210	28	share	share	VERB
fis-2233	210	29	the	the	DET
fis-2233	210	30	same	same	ADJ
fis-2233	210	31	unitary	unitary	ADJ
fis-2233	210	32	variance	variance	NOUN
fis-2233	210	33	.	.	PUNCT
fis-2233	211	1	no	no	INTJ
fis-2233	211	2	.	.	PUNCT
fis-2233	212	1	of	of	ADP
fis-2233	212	2	stress	stress	NOUN
fis-2233	212	3	case	case	NOUN
fis-2233	212	4	description	description	NOUN
fis-2233	212	5	vxx	vxx	PROPN
fis-2233	212	6	vyy	vyy	PROPN
fis-2233	212	7	cxy	cxy	PROPN
fis-2233	212	8	rxx	rxx	PROPN
fis-2233	212	9	,	,	PUNCT
fis-2233	212	10	yy	yy	PROPN
fis-2233	212	11	rxx	rxx	PROPN
fis-2233	212	12	,	,	PUNCT
fis-2233	212	13	xy	xy	PROPN
fis-2233	212	14	ryy	ryy	PROPN
fis-2233	212	15	,	,	PUNCT
fis-2233	212	16	xy	xy	PROPN
fis-2233	212	17	1	1	NUM
fis-2233	212	18	biaxial	biaxial	ADJ
fis-2233	212	19	tension	tension	NOUN
fis-2233	212	20	(	(	PUNCT
fis-2233	212	21	correlated	correlate	VERB
fis-2233	212	22	)	)	PUNCT
fis-2233	212	23	3	3	NUM
fis-2233	212	24	3	3	NUM
fis-2233	212	25	0	0	NUM
fis-2233	212	26	1	1	NUM
fis-2233	212	27	0	0	NUM
fis-2233	212	28	0	0	NUM
fis-2233	212	29	2	2	NUM
fis-2233	212	30	biaxial	biaxial	NOUN
fis-2233	212	31	tension	tension	NOUN
fis-2233	212	32	(	(	PUNCT
fis-2233	212	33	not	not	PART
fis-2233	212	34	correlated	correlate	VERB
fis-2233	212	35	)	)	PUNCT
fis-2233	212	36	3	3	NUM
fis-2233	212	37	3	3	NUM
fis-2233	212	38	0	0	NUM
fis-2233	212	39	0	0	NUM
fis-2233	212	40	0	0	NUM
fis-2233	212	41	0	0	NUM
fis-2233	212	42	3	3	NUM
fis-2233	212	43	bending	bend	VERB
fis-2233	212	44	-	-	PUNCT
fis-2233	212	45	torsion	torsion	NOUN
fis-2233	212	46	(	(	PUNCT
fis-2233	212	47	correlated	correlate	VERB
fis-2233	212	48	)	)	PUNCT
fis-2233	212	49	3	3	NUM
fis-2233	212	50	0	0	NUM
fis-2233	212	51	1	1	NUM
fis-2233	212	52	0	0	NUM
fis-2233	212	53	1	1	NUM
fis-2233	212	54	0	0	NUM
fis-2233	212	55	4	4	NUM
fis-2233	212	56	bending	bend	VERB
fis-2233	212	57	-	-	PUNCT
fis-2233	212	58	torsion	torsion	NOUN
fis-2233	212	59	(	(	PUNCT
fis-2233	212	60	not	not	PART
fis-2233	212	61	correlated	correlate	VERB
fis-2233	212	62	)	)	PUNCT
fis-2233	212	63	3	3	NUM
fis-2233	212	64	0	0	NUM
fis-2233	212	65	1	1	NUM
fis-2233	212	66	0	0	NUM
fis-2233	212	67	0	0	NUM
fis-2233	212	68	0	0	NUM
fis-2233	212	69	table	table	NOUN
fis-2233	212	70	2	2	NUM
fis-2233	212	71	:	:	PUNCT
fis-2233	212	72	variance	variance	NOUN
fis-2233	212	73	and	and	CCONJ
fis-2233	212	74	correlation	correlation	NOUN
fis-2233	212	75	degree	degree	NOUN
fis-2233	212	76	characterizing	characterize	VERB
fis-2233	212	77	the	the	DET
fis-2233	212	78	biaxial	biaxial	NOUN
fis-2233	212	79	stress	stress	NOUN
fis-2233	212	80	states	state	NOUN
fis-2233	212	81	considered	consider	VERB
fis-2233	212	82	in	in	ADP
fis-2233	212	83	numerical	numerical	ADJ
fis-2233	212	84	simulations	simulation	NOUN
fis-2233	212	85	.	.	PUNCT
fis-2233	213	1	three	three	NUM
fis-2233	213	2	hypothetical	hypothetical	ADJ
fis-2233	213	3	material	material	NOUN
fis-2233	213	4	models	model	NOUN
fis-2233	213	5	,	,	PUNCT
fis-2233	213	6	with	with	ADP
fis-2233	213	7	different	different	ADJ
fis-2233	213	8	fatigue	fatigue	NOUN
fis-2233	213	9	properties	property	NOUN
fis-2233	213	10	,	,	PUNCT
fis-2233	213	11	are	be	AUX
fis-2233	213	12	investigated	investigate	VERB
fis-2233	213	13	:	:	PUNCT
fis-2233	213	14			ADV
fis-2233	213	15	material	material	VERB
fis-2233	213	16	a	a	X
fis-2233	213	17	:	:	PUNCT
fis-2233	213	18	this	this	DET
fis-2233	213	19	material	material	NOUN
fis-2233	213	20	has	have	VERB
fis-2233	213	21	tension	tension	NOUN
fis-2233	213	22	and	and	CCONJ
fis-2233	213	23	torsion	torsion	NOUN
fis-2233	213	24	s	s	NOUN
fis-2233	213	25	-	-	PUNCT
fis-2233	213	26	n	n	PRON
fis-2233	213	27	lines	line	NOUN
fis-2233	213	28	with	with	ADP
fis-2233	213	29	identical	identical	ADJ
fis-2233	213	30	slope	slope	NOUN
fis-2233	213	31	(	(	PUNCT
fis-2233	213	32	k=kτ	k=kτ	NOUN
fis-2233	213	33	)	)	PUNCT
fis-2233	213	34	and	and	CCONJ
fis-2233	213	35	with	with	ADP
fis-2233	213	36	amplitude	amplitude	NOUN
fis-2233	213	37	strengths	strength	NOUN
fis-2233	213	38	σa	σa	VERB
fis-2233	213	39	and	and	CCONJ
fis-2233	213	40	τa	τa	NOUN
fis-2233	213	41	=	=	NOUN
fis-2233	213	42	σa/√3	σa/√3	NOUN
fis-2233	213	43	,	,	PUNCT
fis-2233	213	44	i.e.	i.e.	X
fis-2233	213	45	the	the	DET
fis-2233	213	46	torsion	torsion	NOUN
fis-2233	213	47	line	line	NOUN
fis-2233	213	48	is	be	AUX
fis-2233	213	49	scaled	scale	VERB
fis-2233	213	50	by	by	ADP
fis-2233	213	51	3	3	NUM
fis-2233	213	52	.	.	PUNCT
fis-2233	214	1	in	in	ADP
fis-2233	214	2	the	the	DET
fis-2233	214	3	mwd	mwd	PROPN
fis-2233	214	4	,	,	PUNCT
fis-2233	214	5	the	the	DET
fis-2233	214	6	tension	tension	NOUN
fis-2233	214	7	and	and	CCONJ
fis-2233	214	8	torsion	torsion	NOUN
fis-2233	214	9	s	s	NOUN
fis-2233	214	10	-	-	PUNCT
fis-2233	214	11	n	n	PRON
fis-2233	214	12	lines	line	NOUN
fis-2233	214	13	overlap	overlap	VERB
fis-2233	214	14	each	each	DET
fis-2233	214	15	other	other	ADJ
fis-2233	214	16	,	,	PUNCT
fis-2233	214	17	and	and	CCONJ
fis-2233	214	18	they	they	PRON
fis-2233	214	19	also	also	ADV
fis-2233	214	20	overlap	overlap	VERB
fis-2233	214	21	the	the	DET
fis-2233	214	22	reference	reference	NOUN
fis-2233	214	23	line	line	NOUN
fis-2233	214	24	for	for	ADP
fis-2233	214	25	any	any	DET
fis-2233	214	26	value	value	NOUN
fis-2233	214	27	of	of	ADP
fis-2233	214	28	ρref	ρref	NOUN
fis-2233	214	29	.	.	PUNCT
fis-2233	215	1	this	this	DET
fis-2233	215	2	material	material	NOUN
fis-2233	215	3	model	model	NOUN
fis-2233	215	4	has	have	AUX
fis-2233	215	5	specifically	specifically	ADV
fis-2233	215	6	been	be	AUX
fis-2233	215	7	conceived	conceive	VERB
fis-2233	215	8	for	for	ADP
fis-2233	215	9	being	be	AUX
fis-2233	215	10	not	not	PART
fis-2233	215	11	sensitive	sensitive	ADJ
fis-2233	215	12	to	to	ADP
fis-2233	215	13	the	the	DET
fis-2233	215	14	type	type	NOUN
fis-2233	215	15	of	of	ADP
fis-2233	215	16	applied	apply	VERB
fis-2233	215	17	multiaxial	multiaxial	ADJ
fis-2233	215	18	stress	stress	NOUN
fis-2233	215	19	(	(	PUNCT
fis-2233	215	20	i.e.	i.e.	X
fis-2233	215	21	the	the	DET
fis-2233	215	22	material	material	NOUN
fis-2233	215	23	is	be	AUX
fis-2233	215	24	not	not	PART
fis-2233	215	25	sensitive	sensitive	ADJ
fis-2233	215	26	to	to	PART
fis-2233	215	27	ρref	ρref	VERB
fis-2233	215	28	)	)	PUNCT
fis-2233	215	29	.	.	PUNCT
fis-2233	216	1	this	this	DET
fis-2233	216	2	situation	situation	NOUN
fis-2233	216	3	reflects	reflect	VERB
fis-2233	216	4	the	the	DET
fis-2233	216	5	hypothesis	hypothesis	NOUN
fis-2233	216	6	that	that	PRON
fis-2233	216	7	the	the	DET
fis-2233	216	8	material	material	NOUN
fis-2233	216	9	obeys	obey	VERB
fis-2233	216	10	the	the	DET
fis-2233	216	11	von	von	PROPN
fis-2233	216	12	mises	mises	PROPN
fis-2233	216	13	equation	equation	NOUN
fis-2233	216	14	under	under	ADP
fis-2233	216	15	fatigue	fatigue	NOUN
fis-2233	216	16	loadings	loading	NOUN
fis-2233	216	17	,	,	PUNCT
fis-2233	216	18	and	and	CCONJ
fis-2233	216	19	it	it	PRON
fis-2233	216	20	is	be	AUX
fis-2233	216	21	only	only	ADV
fis-2233	216	22	sensitive	sensitive	ADJ
fis-2233	216	23	to	to	ADP
fis-2233	216	24	the	the	DET
fis-2233	216	25	deviatoric	deviatoric	ADJ
fis-2233	216	26	stress	stress	NOUN
fis-2233	216	27	component	component	NOUN
fis-2233	216	28	while	while	SCONJ
fis-2233	216	29	not	not	PART
fis-2233	216	30	sensitive	sensitive	ADJ
fis-2233	216	31	to	to	ADP
fis-2233	216	32	hydrostatic	hydrostatic	ADJ
fis-2233	216	33	stress	stress	NOUN
fis-2233	216	34	;	;	PUNCT
fis-2233	216	35			ADJ
fis-2233	216	36	material	material	NOUN
fis-2233	216	37	b	b	NOUN
fis-2233	216	38	:	:	PUNCT
fis-2233	216	39	this	this	DET
fis-2233	216	40	material	material	NOUN
fis-2233	216	41	model	model	NOUN
fis-2233	216	42	has	have	VERB
fis-2233	216	43	tension	tension	NOUN
fis-2233	216	44	and	and	CCONJ
fis-2233	216	45	torsion	torsion	NOUN
fis-2233	216	46	s	s	NOUN
fis-2233	216	47	-	-	PUNCT
fis-2233	216	48	n	n	PRON
fis-2233	216	49	lines	line	NOUN
fis-2233	216	50	with	with	ADP
fis-2233	216	51	identical	identical	ADJ
fis-2233	216	52	slope	slope	NOUN
fis-2233	216	53	(	(	PUNCT
fis-2233	216	54	k=kτ	k=kτ	NOUN
fis-2233	216	55	)	)	PUNCT
fis-2233	216	56	,	,	PUNCT
fis-2233	216	57	but	but	CCONJ
fis-2233	216	58	with	with	ADP
fis-2233	216	59	fatigue	fatigue	NOUN
fis-2233	216	60	strengths	strength	NOUN
fis-2233	216	61	not	not	PART
fis-2233	216	62	scaled	scale	VERB
fis-2233	216	63	as	as	ADP
fis-2233	216	64	in	in	ADP
fis-2233	216	65	von	von	PROPN
fis-2233	216	66	mises	mises	PROPN
fis-2233	216	67	criterion	criterion	NOUN
fis-2233	216	68	,	,	PUNCT
fis-2233	216	69	that	that	PRON
fis-2233	216	70	is	be	AUX
fis-2233	216	71	τa≠σa/√3	τa≠σa/√3	NOUN
fis-2233	216	72	.	.	PUNCT
fis-2233	217	1	unlike	unlike	ADP
fis-2233	217	2	material	material	NOUN
fis-2233	217	3	a	a	PRON
fis-2233	217	4	,	,	PUNCT
fis-2233	217	5	this	this	DET
fis-2233	217	6	material	material	NOUN
fis-2233	217	7	has	have	VERB
fis-2233	217	8	a	a	DET
fis-2233	217	9	fatigue	fatigue	NOUN
fis-2233	217	10	strength	strength	NOUN
fis-2233	217	11	that	that	PRON
fis-2233	217	12	depends	depend	VERB
fis-2233	217	13	on	on	ADP
fis-2233	217	14	the	the	DET
fis-2233	217	15	hydrostatic	hydrostatic	ADJ
fis-2233	217	16	stress	stress	NOUN
fis-2233	217	17	;	;	PUNCT
fis-2233	218	1			ADJ
fis-2233	218	2	material	material	NOUN
fis-2233	218	3	c	c	NOUN
fis-2233	218	4	:	:	PUNCT
fis-2233	218	5	this	this	DET
fis-2233	218	6	material	material	NOUN
fis-2233	218	7	model	model	NOUN
fis-2233	218	8	has	have	VERB
fis-2233	218	9	arbitrary	arbitrary	ADJ
fis-2233	218	10	tension	tension	NOUN
fis-2233	218	11	and	and	CCONJ
fis-2233	218	12	torsion	torsion	NOUN
fis-2233	218	13	s	s	NOUN
fis-2233	218	14	-	-	PUNCT
fis-2233	218	15	n	n	PRON
fis-2233	218	16	lines	line	NOUN
fis-2233	218	17	,	,	PUNCT
fis-2233	218	18	i.e.	i.e.	X
fis-2233	218	19	fatigue	fatigue	NOUN
fis-2233	218	20	strengths	strength	NOUN
fis-2233	218	21	as	as	ADP
fis-2233	218	22	per	per	ADP
fis-2233	218	23	material	material	NOUN
fis-2233	218	24	b	b	NOUN
fis-2233	218	25	,	,	PUNCT
fis-2233	218	26	but	but	CCONJ
fis-2233	218	27	with	with	ADP
fis-2233	218	28	different	different	ADJ
fis-2233	218	29	slopes	slope	NOUN
fis-2233	218	30	for	for	ADP
fis-2233	218	31	tension	tension	NOUN
fis-2233	218	32	and	and	CCONJ
fis-2233	218	33	torsion	torsion	NOUN
fis-2233	218	34	(	(	PUNCT
fis-2233	218	35	k≠kτ	k≠kτ	PROPN
fis-2233	218	36	)	)	PUNCT
fis-2233	218	37	.	.	PUNCT
fis-2233	219	1	this	this	PRON
fis-2233	219	2	is	be	AUX
fis-2233	219	3	the	the	DET
fis-2233	219	4	most	most	ADV
fis-2233	219	5	general	general	ADJ
fis-2233	219	6	situation	situation	NOUN
fis-2233	219	7	.	.	PUNCT
fis-2233	220	1	like	like	ADP
fis-2233	220	2	material	material	PROPN
fis-2233	220	3	a	a	X
fis-2233	220	4	,	,	PUNCT
fis-2233	220	5	this	this	DET
fis-2233	220	6	material	material	NOUN
fis-2233	220	7	is	be	AUX
fis-2233	220	8	sensitive	sensitive	ADJ
fis-2233	220	9	to	to	ADP
fis-2233	220	10	the	the	DET
fis-2233	220	11	hydrostatic	hydrostatic	ADJ
fis-2233	220	12	stress	stress	NOUN
fis-2233	220	13	,	,	PUNCT
fis-2233	220	14	too	too	ADV
fis-2233	220	15	.	.	PUNCT
fis-2233	221	1	in	in	ADP
fis-2233	221	2	tab	tab	PROPN
fis-2233	221	3	.	.	PUNCT
fis-2233	222	1	3	3	NUM
fis-2233	222	2	,	,	PUNCT
fis-2233	222	3	the	the	DET
fis-2233	222	4	tension	tension	NOUN
fis-2233	222	5	s	s	NOUN
fis-2233	222	6	-	-	PUNCT
fis-2233	222	7	n	n	PRON
fis-2233	222	8	curve	curve	NOUN
fis-2233	222	9	is	be	AUX
fis-2233	222	10	kept	keep	VERB
fis-2233	222	11	fixed	fix	VERB
fis-2233	222	12	,	,	PUNCT
fis-2233	222	13	while	while	SCONJ
fis-2233	222	14	only	only	ADV
fis-2233	222	15	the	the	DET
fis-2233	222	16	torsion	torsion	NOUN
fis-2233	222	17	line	line	NOUN
fis-2233	222	18	moves	move	VERB
fis-2233	222	19	upward	upward	ADV
fis-2233	222	20	from	from	ADP
fis-2233	222	21	case	case	NOUN
fis-2233	222	22	a	a	PRON
fis-2233	222	23	to	to	ADP
fis-2233	222	24	c.	c.	PROPN
fis-2233	222	25	f	f	PROPN
fis-2233	222	26	gxx(f	gxx(f	PROPN
fis-2233	222	27	)	)	PUNCT
fis-2233	222	28	hxx	hxx	PROPN
fis-2233	222	29	fc	fc	PROPN
fis-2233	222	30	f	f	PROPN
fis-2233	222	31	gxy(f	gxy(f	PROPN
fis-2233	222	32	)	)	PUNCT
fis-2233	222	33	hxy	hxy	NOUN
fis-2233	222	34	fc	fc	PROPN
fis-2233	222	35	f	f	PROPN
fis-2233	222	36	re{gxx	re{gxx	PROPN
fis-2233	222	37	,	,	PUNCT
fis-2233	222	38	yy(f	yy(f	NUM
fis-2233	222	39	)	)	PUNCT
fis-2233	222	40	}	}	PUNCT
fis-2233	222	41	hxx	hxx	PROPN
fis-2233	222	42	,	,	PUNCT
fis-2233	222	43	yy	yy	PROPN
fis-2233	222	44	fc	fc	PROPN
fis-2233	223	1	xyxxxyxxyyxx	xyxxxyxxyyxx	PROPN
fis-2233	223	2	hhrh	hhrh	PROPN
fis-2233	223	3			PROPN
fis-2233	223	4	,	,	PUNCT
fis-2233	223	5	,	,	PUNCT
fis-2233	223	6	d.	d.	PROPN
fis-2233	223	7	benasciutti	benasciutti	PROPN
fis-2233	223	8	et	et	PROPN
fis-2233	223	9	alii	alii	PROPN
fis-2233	223	10	,	,	PUNCT
fis-2233	223	11	frattura	frattura	PROPN
fis-2233	223	12	ed	ed	PROPN
fis-2233	223	13	integrità	integrità	PROPN
fis-2233	223	14	strutturale	strutturale	PROPN
fis-2233	223	15	,	,	PUNCT
fis-2233	223	16	47	47	NUM
fis-2233	223	17	(	(	PUNCT
fis-2233	223	18	2019	2019	NUM
fis-2233	223	19	)	)	PUNCT
fis-2233	223	20	348	348	NUM
fis-2233	223	21	-	-	SYM
fis-2233	223	22	366	366	NUM
fis-2233	223	23	;	;	PUNCT
fis-2233	223	24	doi	doi	NOUN
fis-2233	223	25	:	:	PUNCT
fis-2233	223	26	10.3221	10.3221	NUM
fis-2233	223	27	/	/	SYM
fis-2233	223	28	igf	igf	PROPN
fis-2233	223	29	-	-	PUNCT
fis-2233	223	30	esis.47.26	esis.47.26	ADJ
fis-2233	223	31	357	357	NUM
fis-2233	223	32	material	material	NOUN
fis-2233	223	33	type	type	NOUN
fis-2233	223	34	description	description	NOUN
fis-2233	223	35	na	na	INTJ
fis-2233	223	36	a	a	PROPN
fis-2233	223	37	mpa	mpa	PROPN
fis-2233	223	38	)	)	PUNCT
fis-2233	223	39	a	a	PROPN
fis-2233	223	40	(	(	PUNCT
fis-2233	223	41	mpa	mpa	PROPN
fis-2233	223	42	)	)	PUNCT
fis-2233	223	43	k	k	NOUN
fis-2233	223	44	k	k	PROPN
fis-2233	223	45	a	a	DET
fis-2233	223	46	parallel	parallel	ADJ
fis-2233	223	47	s	s	NOUN
fis-2233	223	48	-	-	PUNCT
fis-2233	223	49	n	n	PRON
fis-2233	223	50	lines	line	NOUN
fis-2233	223	51	,	,	PUNCT
fis-2233	223	52	scaled	scale	VERB
fis-2233	223	53	by	by	ADP
fis-2233	223	54	3	3	NUM
fis-2233	223	55	2106	2106	NOUN
fis-2233	223	56	100	100	NUM
fis-2233	223	57	57.7	57.7	NUM
fis-2233	223	58	3	3	NUM
fis-2233	223	59	3	3	NUM
fis-2233	223	60	b	b	NOUN
fis-2233	223	61	parallel	parallel	ADJ
fis-2233	223	62	s	s	NOUN
fis-2233	223	63	-	-	PUNCT
fis-2233	223	64	n	n	PRON
fis-2233	223	65	lines	line	NOUN
fis-2233	223	66	,	,	PUNCT
fis-2233	223	67	not	not	PART
fis-2233	223	68	scaled	scale	VERB
fis-2233	223	69	by	by	ADP
fis-2233	223	70	3	3	NUM
fis-2233	223	71	2106	2106	NOUN
fis-2233	223	72	100	100	NUM
fis-2233	223	73	70	70	NUM
fis-2233	223	74	3	3	NUM
fis-2233	223	75	3	3	NUM
fis-2233	223	76	c	c	NOUN
fis-2233	223	77	arbitrary	arbitrary	ADJ
fis-2233	223	78	s	s	NOUN
fis-2233	223	79	-	-	PUNCT
fis-2233	223	80	n	n	PRON
fis-2233	223	81	lines	line	NOUN
fis-2233	223	82	2106	2106	NOUN
fis-2233	223	83	100	100	NUM
fis-2233	223	84	70	70	NUM
fis-2233	223	85	3	3	NUM
fis-2233	223	86	5	5	NUM
fis-2233	223	87	table	table	NOUN
fis-2233	223	88	3	3	NUM
fis-2233	223	89	:	:	PUNCT
fis-2233	223	90	fatigue	fatigue	NOUN
fis-2233	223	91	properties	property	NOUN
fis-2233	223	92	of	of	ADP
fis-2233	223	93	three	three	NUM
fis-2233	223	94	different	different	ADJ
fis-2233	223	95	material	material	NOUN
fis-2233	223	96	models	model	NOUN
fis-2233	223	97	,	,	PUNCT
fis-2233	223	98	considered	consider	VERB
fis-2233	223	99	in	in	ADP
fis-2233	223	100	numerical	numerical	ADJ
fis-2233	223	101	simulations	simulation	NOUN
fis-2233	223	102	.	.	PUNCT
fis-2233	224	1	tab	tab	NOUN
fis-2233	224	2	.	.	PUNCT
fis-2233	225	1	4	4	NUM
fis-2233	225	2	gathers	gather	VERB
fis-2233	225	3	the	the	DET
fis-2233	225	4	results	result	NOUN
fis-2233	225	5	of	of	ADP
fis-2233	225	6	all	all	DET
fis-2233	225	7	the	the	DET
fis-2233	225	8	load	load	NOUN
fis-2233	225	9	cases	case	NOUN
fis-2233	225	10	examined	examine	VERB
fis-2233	225	11	.	.	PUNCT
fis-2233	226	1	in	in	ADP
fis-2233	226	2	particular	particular	ADJ
fis-2233	226	3	,	,	PUNCT
fis-2233	226	4	it	it	PRON
fis-2233	226	5	collects	collect	VERB
fis-2233	226	6	some	some	DET
fis-2233	226	7	quantities	quantity	NOUN
fis-2233	226	8	calculated	calculate	VERB
fis-2233	226	9	throughout	throughout	ADP
fis-2233	226	10	the	the	DET
fis-2233	226	11	analysis	analysis	NOUN
fis-2233	226	12	:	:	PUNCT
fis-2233	226	13	the	the	DET
fis-2233	226	14	non	non	ADJ
fis-2233	226	15	-	-	ADJ
fis-2233	226	16	zero	zero	NUM
fis-2233	226	17	elements	element	NOUN
fis-2233	226	18	of	of	ADP
fis-2233	226	19	covariance	covariance	NOUN
fis-2233	226	20	matrix	matrix	NOUN
fis-2233	226	21	c	c	NOUN
fis-2233	226	22	’	'	PUNCT
fis-2233	226	23	in	in	ADP
fis-2233	226	24	deviatoric	deviatoric	ADJ
fis-2233	226	25	space	space	NOUN
fis-2233	226	26	and	and	CCONJ
fis-2233	226	27	the	the	DET
fis-2233	226	28	variance	variance	NOUN
fis-2233	226	29	of	of	ADP
fis-2233	226	30	hydrostatic	hydrostatic	ADJ
fis-2233	226	31	stress	stress	NOUN
fis-2233	226	32	(	(	PUNCT
fis-2233	226	33	step	step	NOUN
fis-2233	226	34	1	1	NUM
fis-2233	226	35	)	)	PUNCT
fis-2233	226	36	,	,	PUNCT
fis-2233	226	37	the	the	DET
fis-2233	226	38	non	non	ADJ
fis-2233	226	39	-	-	ADJ
fis-2233	226	40	zero	zero	NUM
fis-2233	226	41	elements	element	NOUN
fis-2233	226	42	of	of	ADP
fis-2233	226	43	covariance	covariance	NOUN
fis-2233	226	44	matrix	matrix	NOUN
fis-2233	226	45	c’p	c’p	NOUN
fis-2233	226	46	in	in	ADP
fis-2233	226	47	the	the	DET
fis-2233	226	48	principal	principal	ADJ
fis-2233	226	49	coordinate	coordinate	NOUN
fis-2233	226	50	system	system	NOUN
fis-2233	226	51	(	(	PUNCT
fis-2233	226	52	step	step	NOUN
fis-2233	226	53	2	2	NUM
fis-2233	226	54	)	)	PUNCT
fis-2233	226	55	,	,	PUNCT
fis-2233	226	56	the	the	DET
fis-2233	226	57	parameters	parameter	NOUN
fis-2233	226	58	of	of	ADP
fis-2233	226	59	the	the	DET
fis-2233	226	60	reference	reference	NOUN
fis-2233	226	61	s	s	PROPN
fis-2233	226	62	-	-	PUNCT
fis-2233	226	63	n	n	PRON
fis-2233	226	64	curve	curve	NOUN
fis-2233	226	65	in	in	ADP
fis-2233	226	66	the	the	DET
fis-2233	226	67	mwd	mwd	PROPN
fis-2233	226	68	(	(	PUNCT
fis-2233	226	69	step	step	NOUN
fis-2233	226	70	3	3	NUM
fis-2233	226	71	)	)	PUNCT
fis-2233	226	72	,	,	PUNCT
fis-2233	226	73	the	the	DET
fis-2233	226	74	damage	damage	NOUN
fis-2233	226	75	of	of	ADP
fis-2233	226	76	each	each	DET
fis-2233	226	77	stress	stress	NOUN
fis-2233	226	78	projection	projection	NOUN
fis-2233	226	79	(	(	PUNCT
fis-2233	226	80	estimated	estimate	VERB
fis-2233	226	81	by	by	ADP
fis-2233	226	82	narrow	narrow	ADJ
fis-2233	226	83	-	-	PUNCT
fis-2233	226	84	band	band	NOUN
fis-2233	226	85	formula	formula	NOUN
fis-2233	226	86	and	and	CCONJ
fis-2233	226	87	tb	tb	ADP
fis-2233	226	88	method	method	NOUN
fis-2233	226	89	)	)	PUNCT
fis-2233	226	90	(	(	PUNCT
fis-2233	226	91	step	step	NOUN
fis-2233	226	92	4	4	NUM
fis-2233	226	93	)	)	PUNCT
fis-2233	226	94	,	,	PUNCT
fis-2233	226	95	the	the	DET
fis-2233	226	96	total	total	ADJ
fis-2233	226	97	damage	damage	NOUN
fis-2233	226	98	estimated	estimate	VERB
fis-2233	226	99	by	by	ADP
fis-2233	226	100	pbp	pbp	NOUN
fis-2233	226	101	method	method	NOUN
fis-2233	226	102	using	use	VERB
fis-2233	226	103	the	the	DET
fis-2233	226	104	narrow	narrow	ADJ
fis-2233	226	105	-	-	PUNCT
fis-2233	226	106	band	band	NOUN
fis-2233	226	107	formula	formula	NOUN
fis-2233	226	108	or	or	CCONJ
fis-2233	226	109	tb	tb	ADP
fis-2233	226	110	method	method	NOUN
fis-2233	226	111	(	(	PUNCT
fis-2233	226	112	final	final	ADJ
fis-2233	226	113	analysis	analysis	NOUN
fis-2233	226	114	output	output	NOUN
fis-2233	226	115	)	)	PUNCT
fis-2233	226	116	.	.	PUNCT
fis-2233	227	1	—	—	PUNCT
fis-2233	227	2	—	—	PUNCT
fis-2233	227	3	—	—	PUNCT
fis-2233	227	4	—	—	PUNCT
fis-2233	227	5	—	—	PUNCT
fis-2233	227	6	—	—	PUNCT
fis-2233	227	7	—	—	PUNCT
fis-2233	227	8	—	—	PUNCT
fis-2233	227	9	step	step	NOUN
fis-2233	227	10	1	1	NUM
fis-2233	227	11	—	—	PUNCT
fis-2233	227	12	—	—	PUNCT
fis-2233	227	13	—	—	PUNCT
fis-2233	227	14	—	—	PUNCT
fis-2233	227	15	—	—	PUNCT
fis-2233	227	16	—	—	PUNCT
fis-2233	227	17	—	—	PUNCT
fis-2233	227	18	—	—	PUNCT
fis-2233	227	19	–	–	PUNCT
fis-2233	227	20	–	–	PUNCT
fis-2233	227	21	step	step	NOUN
fis-2233	227	22	2	2	NUM
fis-2233	227	23	–	–	PUNCT
fis-2233	227	24	–	–	PUNCT
fis-2233	227	25	–	–	PUNCT
fis-2233	227	26	–	–	PUNCT
fis-2233	227	27	–	–	PUNCT
fis-2233	227	28	–	–	PUNCT
fis-2233	227	29	–	–	PUNCT
fis-2233	227	30	step	step	NOUN
fis-2233	227	31	3	3	NUM
fis-2233	227	32	–	–	PUNCT
fis-2233	227	33	–	–	PUNCT
fis-2233	227	34	–	–	PUNCT
fis-2233	227	35	–	–	PUNCT
fis-2233	227	36	–	–	PUNCT
fis-2233	227	37	–	–	PUNCT
fis-2233	227	38	–	–	PUNCT
fis-2233	227	39	–	–	PUNCT
fis-2233	227	40	step	step	NOUN
fis-2233	227	41	4	4	NUM
fis-2233	227	42	–	–	PUNCT
fis-2233	227	43	–	–	PUNCT
fis-2233	227	44	–	–	PUNCT
fis-2233	227	45	output	output	NOUN
fis-2233	227	46	case	case	NOUN
fis-2233	227	47	no	no	INTJ
fis-2233	227	48	.	.	PUNCT
fis-2233	227	49	c'11	c'11	PROPN
fis-2233	227	50	c'22	c'22	NUM
fis-2233	227	51	c'33	c'33	NOUN
fis-2233	227	52	c'12	c'12	PROPN
fis-2233	227	53	c'13	c'13	PROPN
fis-2233	227	54	c'23	c'23	PROPN
fis-2233	227	55	vh	vh	PROPN
fis-2233	227	56	a	a	DET
fis-2233	227	57	c'p22	c'p22	NOUN
fis-2233	227	58	c'p33	c'p33	NOUN
fis-2233	227	59	ρref	ρref	PROPN
fis-2233	227	60	ja	ja	PROPN
fis-2233	227	61	,	,	PUNCT
fis-2233	227	62	ref	ref	NOUN
fis-2233	227	63	kref	kref	NOUN
fis-2233	227	64	dtb,2	dtb,2	NOUN
fis-2233	227	65	(	(	PUNCT
fis-2233	227	66	dnb,2	dnb,2	ADJ
fis-2233	227	67	)	)	PUNCT
fis-2233	227	68	dtb,3	dtb,3	ADJ
fis-2233	227	69	(	(	PUNCT
fis-2233	227	70	dnb,3	dnb,3	NOUN
fis-2233	227	71	)	)	PUNCT
fis-2233	227	72	dtb	dtb	NOUN
fis-2233	227	73	(	(	PUNCT
fis-2233	227	74	dnb	dnb	PROPN
fis-2233	227	75	)	)	PUNCT
fis-2233	227	76	1a	1a	NOUN
fis-2233	227	77	0.25	0.25	NUM
fis-2233	227	78	0.75	0.75	NUM
fis-2233	227	79	0	0	NUM
fis-2233	227	80	0.433	0.433	NUM
fis-2233	227	81	0	0	NUM
fis-2233	227	82	0	0	NUM
fis-2233	227	83	1.333	1.333	NUM
fis-2233	227	84	0	0	NUM
fis-2233	227	85	1	1	NUM
fis-2233	227	86	2.0	2.0	NUM
fis-2233	227	87	57.7	57.7	NUM
fis-2233	227	88	3	3	NUM
fis-2233	227	89	0	0	NUM
fis-2233	227	90	(	(	PUNCT
fis-2233	227	91	0	0	NUM
fis-2233	227	92	)	)	PUNCT
fis-2233	227	93	2.756	2.756	NUM
fis-2233	227	94	(	(	PUNCT
fis-2233	227	95	3.283	3.283	NUM
fis-2233	227	96	)	)	PUNCT
fis-2233	227	97	2.756	2.756	NUM
fis-2233	227	98	(	(	PUNCT
fis-2233	227	99	3.283	3.283	NUM
fis-2233	227	100	)	)	PUNCT
fis-2233	227	101	2a	2a	NUM
fis-2233	227	102	1.25	1.25	NUM
fis-2233	227	103	0.75	0.75	NUM
fis-2233	227	104	0	0	NUM
fis-2233	227	105	-0.433	-0.433	NUM
fis-2233	227	106	0	0	NUM
fis-2233	227	107	0	0	NUM
fis-2233	227	108	0.667	0.667	NUM
fis-2233	227	109	0.50	0.50	NUM
fis-2233	227	110	1.50	1.50	NUM
fis-2233	227	111	1.0	1.0	NUM
fis-2233	227	112	57.7	57.7	NUM
fis-2233	227	113	3	3	NUM
fis-2233	227	114	0.974	0.974	NUM
fis-2233	227	115	(	(	PUNCT
fis-2233	227	116	1.161	1.161	NUM
fis-2233	227	117	)	)	PUNCT
fis-2233	227	118	5.063	5.063	NUM
fis-2233	227	119	(	(	PUNCT
fis-2233	227	120	6.032	6.032	NUM
fis-2233	227	121	)	)	PUNCT
fis-2233	227	122	7.796	7.796	NUM
fis-2233	227	123	(	(	PUNCT
fis-2233	227	124	9.287	9.287	NUM
fis-2233	227	125	)	)	PUNCT
fis-2233	227	126	3a	3a	NUM
fis-2233	227	127	1	1	NUM
fis-2233	227	128	0	0	NUM
fis-2233	227	129	1	1	NUM
fis-2233	227	130	0	0	NUM
fis-2233	227	131	1	1	NUM
fis-2233	227	132	0	0	NUM
fis-2233	227	133	0.333	0.333	NUM
fis-2233	227	134	0	0	NUM
fis-2233	227	135	2	2	NUM
fis-2233	227	136	0.707b	0.707b	NOUN
fis-2233	227	137	57.7	57.7	NUM
fis-2233	227	138	3	3	NUM
fis-2233	227	139	0	0	NUM
fis-2233	227	140	(	(	PUNCT
fis-2233	227	141	0	0	NUM
fis-2233	227	142	)	)	PUNCT
fis-2233	227	143	7.796	7.796	NUM
fis-2233	227	144	(	(	PUNCT
fis-2233	227	145	9.287	9.287	NUM
fis-2233	227	146	)	)	PUNCT
fis-2233	227	147	7.796	7.796	NUM
fis-2233	227	148	(	(	PUNCT
fis-2233	227	149	9.287	9.287	NUM
fis-2233	227	150	)	)	PUNCT
fis-2233	227	151	3b	3b	NOUN
fis-2233	227	152	1	1	NUM
fis-2233	227	153	0	0	NUM
fis-2233	227	154	1	1	NUM
fis-2233	227	155	0	0	NUM
fis-2233	227	156	1	1	NUM
fis-2233	227	157	0	0	NUM
fis-2233	227	158	0.333	0.333	NUM
fis-2233	227	159	0	0	NUM
fis-2233	227	160	2	2	NUM
fis-2233	227	161	0.707b	0.707b	NOUN
fis-2233	227	162	61.3	61.3	NUM
fis-2233	227	163	3	3	NUM
fis-2233	227	164	0	0	NUM
fis-2233	227	165	(	(	PUNCT
fis-2233	227	166	0	0	NUM
fis-2233	227	167	)	)	PUNCT
fis-2233	227	168	6.504	6.504	NUM
fis-2233	227	169	(	(	PUNCT
fis-2233	227	170	7.748	7.748	NUM
fis-2233	227	171	)	)	PUNCT
fis-2233	227	172	6.504	6.504	NUM
fis-2233	227	173	(	(	PUNCT
fis-2233	227	174	7.748	7.748	NUM
fis-2233	227	175	)	)	PUNCT
fis-2233	227	176	3c	3c	NUM
fis-2233	227	177	1	1	NUM
fis-2233	227	178	0	0	NUM
fis-2233	227	179	1	1	NUM
fis-2233	227	180	0	0	NUM
fis-2233	227	181	1	1	NUM
fis-2233	227	182	0	0	NUM
fis-2233	227	183	0.333	0.333	NUM
fis-2233	227	184	0	0	NUM
fis-2233	227	185	2	2	NUM
fis-2233	227	186	0.707b	0.707b	NOUN
fis-2233	227	187	61.3	61.3	NUM
fis-2233	227	188	3.586c	3.586c	NUM
fis-2233	227	189	0	0	NUM
fis-2233	227	190	(	(	PUNCT
fis-2233	227	191	0	0	NUM
fis-2233	227	192	)	)	PUNCT
fis-2233	227	193	1.054	1.054	NUM
fis-2233	227	194	(	(	PUNCT
fis-2233	227	195	1.308	1.308	NUM
fis-2233	227	196	)	)	PUNCT
fis-2233	227	197	1.054	1.054	NUM
fis-2233	227	198	(	(	PUNCT
fis-2233	227	199	1.308	1.308	NUM
fis-2233	227	200	)	)	PUNCT
fis-2233	227	201	4a	4a	NOUN
fis-2233	227	202	1	1	NUM
fis-2233	227	203	0	0	NUM
fis-2233	227	204	1	1	NUM
fis-2233	227	205	0	0	NUM
fis-2233	227	206	0	0	NUM
fis-2233	227	207	0	0	NUM
fis-2233	227	208	0.333	0.333	NUM
fis-2233	227	209	1	1	NUM
fis-2233	227	210	1	1	NUM
fis-2233	227	211	0.707b	0.707b	NOUN
fis-2233	227	212	57.7	57.7	NUM
fis-2233	227	213	3	3	NUM
fis-2233	227	214	2.756	2.756	NUM
fis-2233	227	215	(	(	PUNCT
fis-2233	227	216	3.283	3.283	NUM
fis-2233	227	217	)	)	PUNCT
fis-2233	227	218	2.756	2.756	NUM
fis-2233	227	219	(	(	PUNCT
fis-2233	227	220	3.283	3.283	NUM
fis-2233	227	221	)	)	PUNCT
fis-2233	227	222	7.796	7.796	NUM
fis-2233	227	223	(	(	PUNCT
fis-2233	227	224	9.287	9.287	NUM
fis-2233	227	225	)	)	PUNCT
fis-2233	227	226	4b	4b	NOUN
fis-2233	227	227	1	1	NUM
fis-2233	227	228	0	0	NUM
fis-2233	227	229	1	1	NUM
fis-2233	227	230	0	0	NUM
fis-2233	227	231	0	0	NUM
fis-2233	227	232	0	0	NUM
fis-2233	227	233	0.333	0.333	NUM
fis-2233	227	234	1	1	NUM
fis-2233	227	235	1	1	NUM
fis-2233	227	236	0.707b	0.707b	NOUN
fis-2233	227	237	61.3	61.3	NUM
fis-2233	227	238	3	3	NUM
fis-2233	227	239	2.300	2.300	NUM
fis-2233	227	240	(	(	PUNCT
fis-2233	227	241	2.740	2.740	NUM
fis-2233	227	242	)	)	PUNCT
fis-2233	227	243	2.300	2.300	NUM
fis-2233	227	244	(	(	PUNCT
fis-2233	227	245	2.740	2.740	NUM
fis-2233	227	246	)	)	PUNCT
fis-2233	227	247	6.505	6.505	NUM
fis-2233	227	248	(	(	PUNCT
fis-2233	227	249	7.749	7.749	NUM
fis-2233	227	250	)	)	PUNCT
fis-2233	227	251	4c	4c	NOUN
fis-2233	227	252	1	1	NUM
fis-2233	227	253	0	0	NUM
fis-2233	227	254	1	1	NUM
fis-2233	227	255	0	0	NUM
fis-2233	227	256	0	0	NUM
fis-2233	227	257	0	0	NUM
fis-2233	227	258	0.333	0.333	NUM
fis-2233	227	259	1	1	NUM
fis-2233	227	260	1	1	NUM
fis-2233	227	261	0.707b	0.707b	NOUN
fis-2233	227	262	61.3	61.3	NUM
fis-2233	227	263	3.586c	3.586c	NUM
fis-2233	227	264	0.304	0.304	NUM
fis-2233	227	265	(	(	PUNCT
fis-2233	227	266	0.377	0.377	NUM
fis-2233	227	267	)	)	PUNCT
fis-2233	227	268	0.304	0.304	NUM
fis-2233	227	269	(	(	PUNCT
fis-2233	227	270	0.377	0.377	NUM
fis-2233	227	271	)	)	PUNCT
fis-2233	227	272	1.054	1.054	NUM
fis-2233	227	273	(	(	PUNCT
fis-2233	227	274	1.308	1.308	NUM
fis-2233	227	275	)	)	PUNCT
fis-2233	227	276	table	table	NOUN
fis-2233	227	277	4	4	NUM
fis-2233	227	278	:	:	PUNCT
fis-2233	227	279	summary	summary	NOUN
fis-2233	227	280	of	of	ADP
fis-2233	227	281	step	step	NOUN
fis-2233	227	282	-	-	PUNCT
fis-2233	227	283	by	by	ADP
fis-2233	227	284	-	-	PUNCT
fis-2233	227	285	step	step	NOUN
fis-2233	227	286	results	result	NOUN
fis-2233	227	287	(	(	PUNCT
fis-2233	227	288	only	only	ADV
fis-2233	227	289	non	non	ADJ
fis-2233	227	290	-	-	ADJ
fis-2233	227	291	zero	zero	NUM
fis-2233	227	292	values	value	NOUN
fis-2233	227	293	)	)	PUNCT
fis-2233	227	294	of	of	ADP
fis-2233	227	295	numerical	numerical	ADJ
fis-2233	227	296	case	case	NOUN
fis-2233	227	297	studies	study	NOUN
fis-2233	227	298	.	.	PUNCT
fis-2233	228	1	in	in	ADP
fis-2233	228	2	step	step	NOUN
fis-2233	228	3	4	4	NUM
fis-2233	228	4	and	and	CCONJ
fis-2233	228	5	output	output	NOUN
fis-2233	228	6	,	,	PUNCT
fis-2233	228	7	the	the	DET
fis-2233	228	8	damage	damage	NOUN
fis-2233	228	9	values	value	NOUN
fis-2233	228	10	are	be	AUX
fis-2233	228	11	multiplied	multiply	VERB
fis-2233	228	12	by	by	ADP
fis-2233	228	13	1010	1010	NUM
fis-2233	228	14	(	(	PUNCT
fis-2233	228	15	notes	note	VERB
fis-2233	228	16	:	:	PUNCT
fis-2233	228	17	a	a	DET
fis-2233	228	18	1.333=4/3	1.333=4/3	NUM
fis-2233	228	19	,	,	PUNCT
fis-2233	228	20	0.667=2/3	0.667=2/3	NUM
fis-2233	228	21	,	,	PUNCT
fis-2233	228	22	0.333=1/3	0.333=1/3	NOUN
fis-2233	228	23	;	;	PUNCT
fis-2233	228	24	b	b	NUM
fis-2233	228	25	2/1707.0	2/1707.0	NUM
fis-2233	228	26			NUM
fis-2233	228	27	;	;	PUNCT
fis-2233	229	1	c	c	PROPN
fis-2233	229	2	25586.3	25586.3	NUM
fis-2233	229	3			NOUN
fis-2233	229	4	)	)	PUNCT
fis-2233	229	5	.	.	PUNCT
fis-2233	230	1	load	load	NOUN
fis-2233	230	2	case	case	NOUN
fis-2233	230	3	1a	1a	NOUN
fis-2233	230	4	and	and	CCONJ
fis-2233	230	5	2a	2a	NUM
fis-2233	230	6	refer	refer	VERB
fis-2233	230	7	to	to	ADP
fis-2233	230	8	biaxial	biaxial	ADJ
fis-2233	230	9	normal	normal	ADJ
fis-2233	230	10	stresses	stress	NOUN
fis-2233	230	11	applied	apply	VERB
fis-2233	230	12	to	to	PART
fis-2233	230	13	material	material	VERB
fis-2233	230	14	a	a	PRON
fis-2233	230	15	;	;	PUNCT
fis-2233	230	16	case	case	NOUN
fis-2233	230	17	1a	1a	NOUN
fis-2233	230	18	has	have	VERB
fis-2233	230	19	“	"	PUNCT
fis-2233	230	20	in	in	ADP
fis-2233	230	21	-	-	PUNCT
fis-2233	230	22	phase	phase	NOUN
fis-2233	230	23	”	"	PUNCT
fis-2233	230	24	stresses	stress	NOUN
fis-2233	230	25	(	(	PUNCT
fis-2233	230	26	rxx	rxx	PROPN
fis-2233	230	27	,	,	PUNCT
fis-2233	230	28	yy=1	yy=1	PROPN
fis-2233	230	29	)	)	PUNCT
fis-2233	230	30	,	,	PUNCT
fis-2233	230	31	case	case	NOUN
fis-2233	230	32	2a	2a	NUM
fis-2233	230	33	“	"	PUNCT
fis-2233	230	34	out	out	ADP
fis-2233	230	35	-	-	PUNCT
fis-2233	230	36	of	of	ADP
fis-2233	230	37	-	-	PUNCT
fis-2233	230	38	phase	phase	NOUN
fis-2233	230	39	”	"	PUNCT
fis-2233	230	40	stresses	stress	NOUN
fis-2233	230	41	(	(	PUNCT
fis-2233	230	42	rxx	rxx	PROPN
fis-2233	230	43	,	,	PUNCT
fis-2233	230	44	yy=0	yy=0	NOUN
fis-2233	230	45	)	)	PUNCT
fis-2233	230	46	.	.	PUNCT
fis-2233	231	1	the	the	DET
fis-2233	231	2	comparison	comparison	NOUN
fis-2233	231	3	of	of	ADP
fis-2233	231	4	damage	damage	NOUN
fis-2233	231	5	values	value	NOUN
fis-2233	231	6	shows	show	VERB
fis-2233	231	7	that	that	SCONJ
fis-2233	231	8	case	case	NOUN
fis-2233	231	9	2a	2a	NUM
fis-2233	231	10	is	be	AUX
fis-2233	231	11	more	more	ADV
fis-2233	231	12	damaging	damaging	ADJ
fis-2233	231	13	than	than	ADP
fis-2233	231	14	case	case	NOUN
fis-2233	231	15	1a	1a	NUM
fis-2233	231	16	.	.	PUNCT
fis-2233	232	1	this	this	DET
fis-2233	232	2	result	result	NOUN
fis-2233	232	3	is	be	AUX
fis-2233	232	4	due	due	ADJ
fis-2233	232	5	to	to	ADP
fis-2233	232	6	the	the	DET
fis-2233	232	7	greater	great	ADJ
fis-2233	232	8	contribution	contribution	NOUN
fis-2233	232	9	of	of	ADP
fis-2233	232	10	deviatoric	deviatoric	ADJ
fis-2233	232	11	stress	stress	NOUN
fis-2233	232	12	components	component	NOUN
fis-2233	232	13	in	in	ADP
fis-2233	232	14	case	case	NOUN
fis-2233	232	15	2a	2a	NUM
fis-2233	232	16	compared	compare	VERB
fis-2233	232	17	to	to	AUX
fis-2233	232	18	case	case	NOUN
fis-2233	232	19	1a	1a	NUM
fis-2233	232	20	(	(	PUNCT
fis-2233	232	21	see	see	VERB
fis-2233	232	22	step	step	NOUN
fis-2233	232	23	2	2	NUM
fis-2233	232	24	in	in	ADP
fis-2233	232	25	tab	tab	NOUN
fis-2233	232	26	.	.	PUNCT
fis-2233	233	1	4	4	NUM
fis-2233	233	2	)	)	PUNCT
fis-2233	233	3	,	,	PUNCT
fis-2233	233	4	whereas	whereas	SCONJ
fis-2233	233	5	it	it	PRON
fis-2233	233	6	does	do	AUX
fis-2233	233	7	not	not	PART
fis-2233	233	8	depend	depend	VERB
fis-2233	233	9	on	on	ADP
fis-2233	233	10	the	the	DET
fis-2233	233	11	hydrostatic	hydrostatic	ADJ
fis-2233	233	12	stress	stress	NOUN
fis-2233	233	13	component	component	NOUN
fis-2233	233	14	,	,	PUNCT
fis-2233	233	15	which	which	PRON
fis-2233	233	16	is	be	AUX
fis-2233	233	17	higher	high	ADJ
fis-2233	233	18	in	in	ADP
fis-2233	233	19	case	case	NOUN
fis-2233	233	20	1a	1a	NOUN
fis-2233	233	21	.	.	PUNCT
fis-2233	234	1	though	though	SCONJ
fis-2233	234	2	the	the	DET
fis-2233	234	3	hydrostatic	hydrostatic	ADJ
fis-2233	234	4	stress	stress	NOUN
fis-2233	234	5	affects	affect	VERB
fis-2233	234	6	the	the	DET
fis-2233	234	7	damage	damage	NOUN
fis-2233	234	8	by	by	ADP
fis-2233	234	9	changing	change	VERB
fis-2233	234	10	the	the	DET
fis-2233	234	11	s	s	NOUN
fis-2233	234	12	-	-	PUNCT
fis-2233	234	13	n	n	PRON
fis-2233	234	14	reference	reference	NOUN
fis-2233	234	15	curve	curve	NOUN
fis-2233	234	16	via	via	ADP
fis-2233	234	17	ρref	ρref	ADJ
fis-2233	234	18	value	value	NOUN
fis-2233	234	19	,	,	PUNCT
fis-2233	234	20	material	material	NOUN
fis-2233	234	21	a	a	PRON
fis-2233	234	22	has	have	AUX
fis-2233	234	23	specifically	specifically	ADV
fis-2233	234	24	been	be	AUX
fis-2233	234	25	conceived	conceive	VERB
fis-2233	234	26	for	for	ADP
fis-2233	234	27	no	no	DET
fis-2233	234	28	reaction	reaction	NOUN
fis-2233	234	29	to	to	ADP
fis-2233	234	30	a	a	DET
fis-2233	234	31	change	change	NOUN
fis-2233	234	32	in	in	ADP
fis-2233	234	33	the	the	DET
fis-2233	234	34	hydrostatic	hydrostatic	ADJ
fis-2233	234	35	stress	stress	NOUN
fis-2233	234	36	.	.	PUNCT
fis-2233	235	1	the	the	DET
fis-2233	235	2	comparison	comparison	NOUN
fis-2233	235	3	case	case	NOUN
fis-2233	235	4	1a	1a	PROPN
fis-2233	235	5	vs.	vs.	ADP
fis-2233	235	6	2a	2a	NUM
fis-2233	235	7	shows	show	VERB
fis-2233	235	8	that	that	SCONJ
fis-2233	235	9	not	not	PART
fis-2233	235	10	-	-	PUNCT
fis-2233	235	11	proportional	proportional	ADJ
fis-2233	235	12	stress	stress	NOUN
fis-2233	235	13	lead	lead	VERB
fis-2233	235	14	to	to	ADP
fis-2233	235	15	a	a	DET
fis-2233	235	16	greater	great	ADJ
fis-2233	235	17	damage	damage	NOUN
fis-2233	235	18	.	.	PUNCT
fis-2233	236	1	this	this	DET
fis-2233	236	2	effect	effect	NOUN
fis-2233	236	3	of	of	ADP
fis-2233	236	4	stress	stress	NOUN
fis-2233	236	5	correlation	correlation	NOUN
fis-2233	236	6	can	can	AUX
fis-2233	236	7	not	not	PART
fis-2233	236	8	be	be	AUX
fis-2233	236	9	generalized	generalize	VERB
fis-2233	236	10	,	,	PUNCT
fis-2233	236	11	yet	yet	ADV
fis-2233	236	12	.	.	PUNCT
fis-2233	237	1	it	it	PRON
fis-2233	237	2	closely	closely	ADV
fis-2233	237	3	depends	depend	VERB
fis-2233	237	4	on	on	ADP
fis-2233	237	5	the	the	DET
fis-2233	237	6	material	material	NOUN
fis-2233	237	7	type	type	NOUN
fis-2233	237	8	.	.	PUNCT
fis-2233	238	1	for	for	ADP
fis-2233	238	2	example	example	NOUN
fis-2233	238	3	,	,	PUNCT
fis-2233	238	4	tab	tab	NOUN
fis-2233	238	5	.	.	PUNCT
fis-2233	238	6	4	4	NUM
fis-2233	238	7	makes	make	VERB
fis-2233	238	8	clear	clear	ADJ
fis-2233	238	9	that	that	SCONJ
fis-2233	238	10	a	a	DET
fis-2233	238	11	different	different	ADJ
fis-2233	238	12	material	material	NOUN
fis-2233	238	13	(	(	PUNCT
fis-2233	238	14	b	b	NOUN
fis-2233	238	15	or	or	CCONJ
fis-2233	238	16	c	c	NOUN
fis-2233	238	17	)	)	PUNCT
fis-2233	238	18	would	would	AUX
fis-2233	238	19	behave	behave	VERB
fis-2233	238	20	differently	differently	ADV
fis-2233	238	21	.	.	PUNCT
fis-2233	239	1	for	for	ADP
fis-2233	239	2	example	example	NOUN
fis-2233	239	3	,	,	PUNCT
fis-2233	239	4	case	case	NOUN
fis-2233	239	5	3b	3b	NOUN
fis-2233	239	6	and	and	CCONJ
fis-2233	239	7	4b	4b	PROPN
fis-2233	239	8	highlight	highlight	VERB
fis-2233	239	9	that	that	PRON
fis-2233	239	10	damage	damage	NOUN
fis-2233	239	11	in	in	ADP
fis-2233	239	12	material	material	PROPN
fis-2233	239	13	b	b	PROPN
fis-2233	239	14	is	be	AUX
fis-2233	239	15	not	not	PART
fis-2233	239	16	correlated	correlate	VERB
fis-2233	239	17	to	to	ADP
fis-2233	239	18	the	the	DET
fis-2233	239	19	proportionality	proportionality	NOUN
fis-2233	239	20	degree	degree	NOUN
fis-2233	239	21	.	.	PUNCT
fis-2233	240	1	d.	d.	PROPN
fis-2233	240	2	benasciutti	benasciutti	PROPN
fis-2233	240	3	et	et	PROPN
fis-2233	240	4	alii	alii	PROPN
fis-2233	240	5	,	,	PUNCT
fis-2233	240	6	frattura	frattura	PROPN
fis-2233	240	7	ed	ed	PROPN
fis-2233	240	8	integrità	integrità	PROPN
fis-2233	240	9	strutturale	strutturale	PROPN
fis-2233	240	10	,	,	PUNCT
fis-2233	240	11	47	47	NUM
fis-2233	240	12	(	(	PUNCT
fis-2233	240	13	2019	2019	NUM
fis-2233	240	14	)	)	PUNCT
fis-2233	240	15	348	348	NUM
fis-2233	240	16	-	-	SYM
fis-2233	240	17	366	366	NUM
fis-2233	240	18	;	;	PUNCT
fis-2233	240	19	doi	doi	NOUN
fis-2233	240	20	:	:	PUNCT
fis-2233	240	21	10.3221	10.3221	NUM
fis-2233	240	22	/	/	SYM
fis-2233	240	23	igf	igf	PROPN
fis-2233	240	24	-	-	ADJ
fis-2233	240	25	esis.47.26	esis.47.26	ADJ
fis-2233	240	26	358	358	NUM
fis-2233	240	27	in	in	ADP
fis-2233	240	28	tab	tab	NOUN
fis-2233	240	29	.	.	PUNCT
fis-2233	241	1	4	4	NUM
fis-2233	241	2	,	,	PUNCT
fis-2233	241	3	it	it	PRON
fis-2233	241	4	is	be	AUX
fis-2233	241	5	worth	worth	ADJ
fis-2233	241	6	noting	note	VERB
fis-2233	241	7	that	that	SCONJ
fis-2233	241	8	cases	case	NOUN
fis-2233	241	9	2a	2a	NUM
fis-2233	241	10	and	and	CCONJ
fis-2233	241	11	3a	3a	NUM
fis-2233	241	12	yield	yield	VERB
fis-2233	241	13	the	the	DET
fis-2233	241	14	same	same	ADJ
fis-2233	241	15	damage	damage	NOUN
fis-2233	241	16	value	value	NOUN
fis-2233	241	17	.	.	PUNCT
fis-2233	242	1	this	this	DET
fis-2233	242	2	outcome	outcome	NOUN
fis-2233	242	3	may	may	AUX
fis-2233	242	4	be	be	AUX
fis-2233	242	5	explained	explain	VERB
fis-2233	242	6	by	by	ADP
fis-2233	242	7	considering	consider	VERB
fis-2233	242	8	the	the	DET
fis-2233	242	9	role	role	NOUN
fis-2233	242	10	of	of	ADP
fis-2233	242	11	deviatoric	deviatoric	ADJ
fis-2233	242	12	and	and	CCONJ
fis-2233	242	13	hydrostatic	hydrostatic	ADJ
fis-2233	242	14	stress	stress	NOUN
fis-2233	242	15	components	component	NOUN
fis-2233	242	16	.	.	PUNCT
fis-2233	243	1	on	on	ADP
fis-2233	243	2	one	one	NUM
fis-2233	243	3	side	side	NOUN
fis-2233	243	4	,	,	PUNCT
fis-2233	243	5	either	either	DET
fis-2233	243	6	cases	case	NOUN
fis-2233	243	7	have	have	VERB
fis-2233	243	8	in	in	ADP
fis-2233	243	9	common	common	ADJ
fis-2233	243	10	(	(	PUNCT
fis-2233	243	11	see	see	VERB
fis-2233	243	12	step	step	NOUN
fis-2233	243	13	2	2	NUM
fis-2233	243	14	in	in	ADP
fis-2233	243	15	tab	tab	NOUN
fis-2233	243	16	.	.	PUNCT
fis-2233	244	1	4	4	NUM
fis-2233	244	2	)	)	PUNCT
fis-2233	244	3	the	the	DET
fis-2233	244	4	sum	sum	NOUN
fis-2233	244	5	(	(	PUNCT
fis-2233	244	6	c'p22+c'p33	c'p22+c'p33	NOUN
fis-2233	244	7	)	)	PUNCT
fis-2233	244	8	of	of	ADP
fis-2233	244	9	variances	variance	NOUN
fis-2233	244	10	of	of	ADP
fis-2233	244	11	deviatoric	deviatoric	ADJ
fis-2233	244	12	stress	stress	NOUN
fis-2233	244	13	components	component	NOUN
fis-2233	244	14	in	in	ADP
fis-2233	244	15	the	the	DET
fis-2233	244	16	principal	principal	ADJ
fis-2233	244	17	coordinate	coordinate	NOUN
fis-2233	244	18	system	system	NOUN
fis-2233	244	19	(	(	PUNCT
fis-2233	244	20	the	the	DET
fis-2233	244	21	third	third	ADJ
fis-2233	244	22	projection	projection	NOUN
fis-2233	244	23	has	have	AUX
fis-2233	244	24	c'p11=0	c'p11=0	PROPN
fis-2233	244	25	)	)	PUNCT
fis-2233	244	26	.	.	PUNCT
fis-2233	245	1	this	this	DET
fis-2233	245	2	sum	sum	NOUN
fis-2233	245	3	represents	represent	VERB
fis-2233	245	4	a	a	DET
fis-2233	245	5	sort	sort	NOUN
fis-2233	245	6	of	of	ADP
fis-2233	245	7	“	"	PUNCT
fis-2233	245	8	total	total	ADJ
fis-2233	245	9	variance	variance	NOUN
fis-2233	245	10	”	"	PUNCT
fis-2233	245	11	of	of	ADP
fis-2233	245	12	stress	stress	NOUN
fis-2233	245	13	projections	projection	NOUN
fis-2233	245	14	ωp,2(t	ωp,2(t	NOUN
fis-2233	245	15	)	)	PUNCT
fis-2233	245	16	,	,	PUNCT
fis-2233	245	17	ωp,3(t	ωp,3(t	NUM
fis-2233	245	18	)	)	PUNCT
fis-2233	245	19	and	and	CCONJ
fis-2233	245	20	it	it	PRON
fis-2233	245	21	enters	enter	VERB
fis-2233	245	22	the	the	DET
fis-2233	245	23	damage	damage	NOUN
fis-2233	245	24	expression	expression	NOUN
fis-2233	245	25	(	(	PUNCT
fis-2233	245	26	16	16	NUM
fis-2233	245	27	)	)	PUNCT
fis-2233	245	28	in	in	ADP
fis-2233	245	29	the	the	DET
fis-2233	245	30	special	special	ADJ
fis-2233	245	31	case	case	NOUN
fis-2233	245	32	in	in	ADP
fis-2233	245	33	which	which	PRON
fis-2233	245	34	the	the	DET
fis-2233	245	35	bandwidth	bandwidth	ADJ
fis-2233	245	36	parameters	parameter	NOUN
fis-2233	245	37	ηtb	ηtb	ADJ
fis-2233	245	38	,	,	PUNCT
fis-2233	245	39	i	i	PRON
fis-2233	245	40	,	,	PUNCT
fis-2233	245	41	ν0,i	ν0,i	NOUN
fis-2233	245	42	take	take	NOUN
fis-2233	245	43	on	on	ADP
fis-2233	245	44	identical	identical	ADJ
fis-2233	245	45	values	value	NOUN
fis-2233	245	46	for	for	ADP
fis-2233	245	47	all	all	DET
fis-2233	245	48	stress	stress	NOUN
fis-2233	245	49	projections	projection	NOUN
fis-2233	245	50	(	(	PUNCT
fis-2233	245	51	a	a	DET
fis-2233	245	52	case	case	NOUN
fis-2233	245	53	that	that	PRON
fis-2233	245	54	actually	actually	ADV
fis-2233	245	55	occurs	occur	VERB
fis-2233	245	56	in	in	ADP
fis-2233	245	57	all	all	DET
fis-2233	245	58	stress	stress	ADJ
fis-2233	245	59	states	state	NOUN
fis-2233	245	60	of	of	ADP
fis-2233	245	61	tab	tab	NOUN
fis-2233	245	62	.	.	PUNCT
fis-2233	245	63	2	2	NUM
fis-2233	245	64	)	)	PUNCT
fis-2233	245	65	.	.	PUNCT
fis-2233	246	1	it	it	PRON
fis-2233	246	2	is	be	AUX
fis-2233	246	3	trivial	trivial	ADJ
fis-2233	246	4	to	to	PART
fis-2233	246	5	verify	verify	VERB
fis-2233	246	6	that	that	DET
fis-2233	246	7	damage	damage	NOUN
fis-2233	246	8	d(ω	d(ω	PROPN
fis-2233	246	9	)	)	PUNCT
fis-2233	246	10	is	be	AUX
fis-2233	246	11	proportional	proportional	ADJ
fis-2233	246	12	to	to	ADP
fis-2233	246	13	2/	2/	NUM
fis-2233	246	14	3322	3322	NUM
fis-2233	246	15	ref)(2	ref)(2	PROPN
fis-2233	247	1	k	k	PROPN
fis-2233	247	2	pp	pp	ADP
fis-2233	247	3	cc	cc	PROPN
fis-2233	247	4			PROPN
fis-2233	247	5	.	.	PUNCT
fis-2233	248	1	on	on	ADP
fis-2233	248	2	the	the	DET
fis-2233	248	3	other	other	ADJ
fis-2233	248	4	side	side	NOUN
fis-2233	248	5	,	,	PUNCT
fis-2233	248	6	damage	damage	NOUN
fis-2233	248	7	(	(	PUNCT
fis-2233	248	8	16	16	NUM
fis-2233	248	9	)	)	PUNCT
fis-2233	248	10	is	be	AUX
fis-2233	248	11	computed	compute	VERB
fis-2233	248	12	on	on	ADP
fis-2233	248	13	the	the	DET
fis-2233	248	14	same	same	ADJ
fis-2233	248	15	s	s	NOUN
fis-2233	248	16	-	-	PUNCT
fis-2233	248	17	n	n	PRON
fis-2233	248	18	curve	curve	NOUN
fis-2233	248	19	for	for	ADP
fis-2233	248	20	both	both	DET
fis-2233	248	21	case	case	NOUN
fis-2233	248	22	2a	2a	NUM
fis-2233	248	23	and	and	CCONJ
fis-2233	248	24	3a	3a	NUM
fis-2233	248	25	,	,	PUNCT
fis-2233	248	26	despite	despite	SCONJ
fis-2233	248	27	they	they	PRON
fis-2233	248	28	have	have	VERB
fis-2233	248	29	a	a	DET
fis-2233	248	30	different	different	ADJ
fis-2233	248	31	variance	variance	NOUN
fis-2233	248	32	vh	vh	NOUN
fis-2233	248	33	for	for	ADP
fis-2233	248	34	the	the	DET
fis-2233	248	35	hydrostatic	hydrostatic	ADJ
fis-2233	248	36	stress	stress	NOUN
fis-2233	248	37	and	and	CCONJ
fis-2233	248	38	,	,	PUNCT
fis-2233	248	39	hence	hence	ADV
fis-2233	248	40	,	,	PUNCT
fis-2233	248	41	a	a	DET
fis-2233	248	42	different	different	ADJ
fis-2233	248	43	ρref	ρref	ADJ
fis-2233	248	44	value	value	NOUN
fis-2233	248	45	(	(	PUNCT
fis-2233	248	46	see	see	VERB
fis-2233	248	47	tab	tab	NOUN
fis-2233	248	48	.	.	PUNCT
fis-2233	249	1	4	4	NUM
fis-2233	249	2	)	)	PUNCT
fis-2233	249	3	.	.	PUNCT
fis-2233	250	1	however	however	ADV
fis-2233	250	2	,	,	PUNCT
fis-2233	250	3	as	as	SCONJ
fis-2233	250	4	already	already	ADV
fis-2233	250	5	said	say	VERB
fis-2233	250	6	,	,	PUNCT
fis-2233	250	7	for	for	ADP
fis-2233	250	8	material	material	NOUN
fis-2233	250	9	a	a	DET
fis-2233	250	10	the	the	DET
fis-2233	250	11	hydrostatic	hydrostatic	ADJ
fis-2233	250	12	stress	stress	NOUN
fis-2233	250	13	has	have	VERB
fis-2233	250	14	no	no	DET
fis-2233	250	15	effect	effect	NOUN
fis-2233	250	16	on	on	ADP
fis-2233	250	17	damage	damage	NOUN
fis-2233	250	18	.	.	PUNCT
fis-2233	251	1	cases	case	NOUN
fis-2233	251	2	3a	3a	NUM
fis-2233	251	3	,	,	PUNCT
fis-2233	251	4	3b	3b	NUM
fis-2233	251	5	and	and	CCONJ
fis-2233	251	6	3c	3c	NUM
fis-2233	251	7	emphasize	emphasize	VERB
fis-2233	251	8	the	the	DET
fis-2233	251	9	effect	effect	NOUN
fis-2233	251	10	of	of	ADP
fis-2233	251	11	different	different	ADJ
fis-2233	251	12	materials	material	NOUN
fis-2233	251	13	under	under	ADP
fis-2233	251	14	the	the	DET
fis-2233	251	15	same	same	ADJ
fis-2233	251	16	tension	tension	NOUN
fis-2233	251	17	-	-	PUNCT
fis-2233	251	18	torsion	torsion	NOUN
fis-2233	251	19	loading	loading	NOUN
fis-2233	251	20	(	(	PUNCT
fis-2233	251	21	stress	stress	NOUN
fis-2233	251	22	case	case	NOUN
fis-2233	251	23	3	3	NUM
fis-2233	251	24	)	)	PUNCT
fis-2233	251	25	.	.	PUNCT
fis-2233	252	1	it	it	PRON
fis-2233	252	2	is	be	AUX
fis-2233	252	3	not	not	PART
fis-2233	252	4	surprising	surprising	ADJ
fis-2233	252	5	that	that	SCONJ
fis-2233	252	6	a	a	DET
fis-2233	252	7	change	change	NOUN
fis-2233	252	8	of	of	ADP
fis-2233	252	9	material	material	NOUN
fis-2233	252	10	type	type	NOUN
fis-2233	252	11	determines	determine	VERB
fis-2233	252	12	a	a	DET
fis-2233	252	13	change	change	NOUN
fis-2233	252	14	in	in	ADP
fis-2233	252	15	the	the	DET
fis-2233	252	16	estimated	estimate	VERB
fis-2233	252	17	damage	damage	NOUN
fis-2233	252	18	,	,	PUNCT
fis-2233	252	19	too	too	ADV
fis-2233	252	20	.	.	PUNCT
fis-2233	253	1	this	this	DET
fis-2233	253	2	result	result	NOUN
fis-2233	253	3	is	be	AUX
fis-2233	253	4	governed	govern	VERB
fis-2233	253	5	by	by	ADP
fis-2233	253	6	the	the	DET
fis-2233	253	7	reference	reference	NOUN
fis-2233	253	8	s	s	PROPN
fis-2233	253	9	-	-	PUNCT
fis-2233	253	10	n	n	PRON
fis-2233	253	11	line	line	NOUN
fis-2233	253	12	,	,	PUNCT
fis-2233	253	13	which	which	PRON
fis-2233	253	14	takes	take	VERB
fis-2233	253	15	on	on	ADP
fis-2233	253	16	different	different	ADJ
fis-2233	253	17	positions	position	NOUN
fis-2233	253	18	for	for	ADP
fis-2233	253	19	each	each	DET
fis-2233	253	20	material	material	NOUN
fis-2233	253	21	type	type	NOUN
fis-2233	253	22	,	,	PUNCT
fis-2233	253	23	as	as	SCONJ
fis-2233	253	24	confirmed	confirm	VERB
fis-2233	253	25	by	by	ADP
fis-2233	253	26	the	the	DET
fis-2233	253	27	dissimilar	dissimilar	ADJ
fis-2233	253	28	values	value	NOUN
fis-2233	253	29	of	of	ADP
fis-2233	253	30	parameters	parameter	NOUN
fis-2233	253	31	ja	ja	PROPN
fis-2233	253	32	,	,	PUNCT
fis-2233	253	33	ref	ref	NOUN
fis-2233	253	34	,	,	PUNCT
fis-2233	253	35	kref	kref	PROPN
fis-2233	253	36	(	(	PUNCT
fis-2233	253	37	see	see	VERB
fis-2233	253	38	step	step	NOUN
fis-2233	253	39	3	3	NUM
fis-2233	253	40	in	in	ADP
fis-2233	253	41	tab	tab	NOUN
fis-2233	253	42	.	.	PUNCT
fis-2233	254	1	4	4	NUM
fis-2233	254	2	)	)	PUNCT
fis-2233	254	3	.	.	PUNCT
fis-2233	255	1	for	for	ADP
fis-2233	255	2	example	example	NOUN
fis-2233	255	3	,	,	PUNCT
fis-2233	255	4	the	the	DET
fis-2233	255	5	damage	damage	NOUN
fis-2233	255	6	increases	increase	VERB
fis-2233	255	7	from	from	ADP
fis-2233	255	8	material	material	NOUN
fis-2233	255	9	a	a	DET
fis-2233	255	10	to	to	ADP
fis-2233	255	11	c	c	NOUN
fis-2233	255	12	,	,	PUNCT
fis-2233	255	13	in	in	ADP
fis-2233	255	14	relation	relation	NOUN
fis-2233	255	15	to	to	ADP
fis-2233	255	16	the	the	DET
fis-2233	255	17	different	different	ADJ
fis-2233	255	18	positions	position	NOUN
fis-2233	255	19	assumed	assume	VERB
fis-2233	255	20	by	by	ADP
fis-2233	255	21	the	the	DET
fis-2233	255	22	reference	reference	NOUN
fis-2233	255	23	s	s	PROPN
fis-2233	255	24	-	-	PUNCT
fis-2233	255	25	n	n	PRON
fis-2233	255	26	line	line	NOUN
fis-2233	255	27	.	.	PUNCT
fis-2233	256	1	figure	figure	NOUN
fis-2233	256	2	5	5	NUM
fis-2233	256	3	:	:	PUNCT
fis-2233	256	4	effect	effect	NOUN
fis-2233	256	5	of	of	ADP
fis-2233	256	6	hydrostatic	hydrostatic	ADJ
fis-2233	256	7	stress	stress	NOUN
fis-2233	256	8	on	on	ADP
fis-2233	256	9	fatigue	fatigue	NOUN
fis-2233	256	10	damage	damage	NOUN
fis-2233	256	11	for	for	ADP
fis-2233	256	12	different	different	ADJ
fis-2233	256	13	materials	material	NOUN
fis-2233	256	14	undergoing	undergo	VERB
fis-2233	256	15	a	a	DET
fis-2233	256	16	tension	tension	NOUN
fis-2233	256	17	-	-	PUNCT
fis-2233	256	18	torsion	torsion	NOUN
fis-2233	256	19	loading	loading	NOUN
fis-2233	256	20	with	with	ADP
fis-2233	256	21	cs1+cs3	cs1+cs3	PROPN
fis-2233	256	22	=	=	SYM
fis-2233	256	23	1	1	X
fis-2233	256	24	.	.	PUNCT
fis-2233	257	1	the	the	DET
fis-2233	257	2	graph	graph	NOUN
fis-2233	257	3	in	in	ADP
fis-2233	257	4	fig	fig	NOUN
fis-2233	257	5	.	.	PUNCT
fis-2233	257	6	5	5	NUM
fis-2233	257	7	allows	allow	VERB
fis-2233	257	8	the	the	DET
fis-2233	257	9	role	role	NOUN
fis-2233	257	10	of	of	ADP
fis-2233	257	11	material	material	NOUN
fis-2233	257	12	properties	property	NOUN
fis-2233	257	13	to	to	PART
fis-2233	257	14	be	be	AUX
fis-2233	257	15	further	far	ADV
fis-2233	257	16	pointed	point	VERB
fis-2233	257	17	out	out	ADP
fis-2233	257	18	.	.	PUNCT
fis-2233	258	1	the	the	DET
fis-2233	258	2	figure	figure	NOUN
fis-2233	258	3	depicts	depict	VERB
fis-2233	258	4	the	the	DET
fis-2233	258	5	trend	trend	NOUN
fis-2233	258	6	of	of	ADP
fis-2233	258	7	the	the	DET
fis-2233	258	8	fatigue	fatigue	NOUN
fis-2233	258	9	damage	damage	NOUN
fis-2233	258	10	dtb(ω	dtb(ω	NOUN
fis-2233	258	11	)	)	PUNCT
fis-2233	258	12	in	in	ADP
fis-2233	258	13	the	the	DET
fis-2233	258	14	case	case	NOUN
fis-2233	258	15	of	of	ADP
fis-2233	258	16	a	a	DET
fis-2233	258	17	tension	tension	NOUN
fis-2233	258	18	-	-	PUNCT
fis-2233	258	19	torsion	torsion	NOUN
fis-2233	258	20	loading	loading	NOUN
fis-2233	258	21	,	,	PUNCT
fis-2233	258	22	as	as	ADP
fis-2233	258	23	a	a	DET
fis-2233	258	24	function	function	NOUN
fis-2233	258	25	of	of	ADP
fis-2233	258	26	ρref	ρref	NOUN
fis-2233	258	27	in	in	ADP
fis-2233	258	28	the	the	DET
fis-2233	258	29	range	range	NOUN
fis-2233	258	30	01	01	NUM
fis-2233	258	31	.	.	PUNCT
fis-2233	259	1	parameter	parameter	PROPN
fis-2233	259	2	ρref	ρref	PROPN
fis-2233	259	3	synthesizes	synthesize	VERB
fis-2233	259	4	different	different	ADJ
fis-2233	259	5	types	type	NOUN
fis-2233	259	6	of	of	ADP
fis-2233	259	7	tension	tension	NOUN
fis-2233	259	8	-	-	PUNCT
fis-2233	259	9	torsion	torsion	NOUN
fis-2233	259	10	multiaxial	multiaxial	ADJ
fis-2233	259	11	loading	loading	NOUN
fis-2233	259	12	,	,	PUNCT
fis-2233	259	13	bounded	bound	VERB
fis-2233	259	14	by	by	ADP
fis-2233	259	15	the	the	DET
fis-2233	259	16	limiting	limit	VERB
fis-2233	259	17	uniaxial	uniaxial	ADJ
fis-2233	259	18	case	case	NOUN
fis-2233	259	19	of	of	ADP
fis-2233	259	20	pure	pure	ADJ
fis-2233	259	21	torsion	torsion	NOUN
fis-2233	259	22	(	(	PUNCT
fis-2233	259	23	ρref=0	ρref=0	NUM
fis-2233	259	24	)	)	PUNCT
fis-2233	259	25	to	to	ADP
fis-2233	259	26	pure	pure	ADJ
fis-2233	259	27	tension	tension	NOUN
fis-2233	259	28	(	(	PUNCT
fis-2233	259	29	ρref=1	ρref=1	PROPN
fis-2233	259	30	)	)	PUNCT
fis-2233	259	31	.	.	PUNCT
fis-2233	260	1	the	the	DET
fis-2233	260	2	psd	psd	NOUN
fis-2233	260	3	of	of	ADP
fis-2233	260	4	normal	normal	ADJ
fis-2233	260	5	and	and	CCONJ
fis-2233	260	6	shearing	shearing	NOUN
fis-2233	260	7	stress	stress	NOUN
fis-2233	260	8	are	be	AUX
fis-2233	260	9	suitably	suitably	ADV
fis-2233	260	10	normalized	normalize	VERB
fis-2233	260	11	so	so	ADV
fis-2233	260	12	to	to	PART
fis-2233	260	13	keep	keep	VERB
fis-2233	260	14	constant	constant	ADJ
fis-2233	260	15	the	the	DET
fis-2233	260	16	variance	variance	NOUN
fis-2233	260	17	sum	sum	NOUN
fis-2233	260	18	cs1+cs3=1	cs1+cs3=1	PROPN
fis-2233	260	19	,	,	PUNCT
fis-2233	260	20	as	as	ADV
fis-2233	260	21	well	well	ADV
fis-2233	260	22	as	as	ADP
fis-2233	260	23	the	the	DET
fis-2233	260	24	corresponding	corresponding	ADJ
fis-2233	260	25	sum	sum	NOUN
fis-2233	260	26	constc	constc	NOUN
fis-2233	260	27	iip	iip	PROPN
fis-2233	260	28			PROPN
fis-2233	260	29	,	,	PUNCT
fis-2233	260	30	for	for	ADP
fis-2233	260	31	stress	stress	NOUN
fis-2233	260	32	projections	projection	NOUN
fis-2233	260	33	.	.	PUNCT
fis-2233	261	1	this	this	PRON
fis-2233	261	2	makes	make	VERB
fis-2233	261	3	the	the	DET
fis-2233	261	4	damage	damage	NOUN
fis-2233	261	5	only	only	ADV
fis-2233	261	6	a	a	DET
fis-2233	261	7	function	function	NOUN
fis-2233	261	8	of	of	ADP
fis-2233	261	9	the	the	DET
fis-2233	261	10	hydrostatic	hydrostatic	ADJ
fis-2233	261	11	stress	stress	NOUN
fis-2233	261	12	via	via	ADP
fis-2233	261	13	ρref	ρref	NOUN
fis-2233	261	14	.	.	PUNCT
fis-2233	262	1	predictably	predictably	ADV
fis-2233	262	2	,	,	PUNCT
fis-2233	262	3	the	the	DET
fis-2233	262	4	trends	trend	NOUN
fis-2233	262	5	in	in	ADP
fis-2233	262	6	fig	fig	NOUN
fis-2233	262	7	.	.	PUNCT
fis-2233	263	1	5	5	NUM
fis-2233	263	2	confirm	confirm	VERB
fis-2233	263	3	how	how	SCONJ
fis-2233	263	4	different	different	ADJ
fis-2233	263	5	materials	material	NOUN
fis-2233	263	6	respond	respond	VERB
fis-2233	263	7	differently	differently	ADV
fis-2233	263	8	to	to	ADP
fis-2233	263	9	the	the	DET
fis-2233	263	10	same	same	ADJ
fis-2233	263	11	multiaxial	multiaxial	ADJ
fis-2233	263	12	loading	loading	NOUN
fis-2233	263	13	.	.	PUNCT
fis-2233	264	1	while	while	SCONJ
fis-2233	264	2	materials	material	NOUN
fis-2233	264	3	b	b	PROPN
fis-2233	264	4	and	and	CCONJ
fis-2233	264	5	c	c	PROPN
fis-2233	264	6	show	show	VERB
fis-2233	264	7	a	a	DET
fis-2233	264	8	moderate	moderate	ADJ
fis-2233	264	9	-	-	PUNCT
fis-2233	264	10	to	to	ADP
fis-2233	264	11	-	-	PUNCT
fis-2233	264	12	great	great	ADJ
fis-2233	264	13	sensitivity	sensitivity	NOUN
fis-2233	264	14	to	to	ADP
fis-2233	264	15	the	the	DET
fis-2233	264	16	type	type	NOUN
fis-2233	264	17	of	of	ADP
fis-2233	264	18	loading	loading	NOUN
fis-2233	264	19	,	,	PUNCT
fis-2233	264	20	material	material	VERB
fis-2233	264	21	a	a	DET
fis-2233	264	22	shows	show	NOUN
fis-2233	264	23	no	no	DET
fis-2233	264	24	sensitivity	sensitivity	NOUN
fis-2233	264	25	at	at	ADV
fis-2233	264	26	all	all	ADV
fis-2233	264	27	.	.	PUNCT
fis-2233	265	1	in	in	ADP
fis-2233	265	2	particular	particular	ADJ
fis-2233	265	3	,	,	PUNCT
fis-2233	265	4	fig	fig	NOUN
fis-2233	265	5	.	.	PUNCT
fis-2233	265	6	5	5	NUM
fis-2233	265	7	makes	make	VERB
fis-2233	265	8	crystalline	crystalline	NOUN
fis-2233	265	9	clear	clear	ADJ
fis-2233	265	10	that	that	SCONJ
fis-2233	265	11	material	material	NOUN
fis-2233	265	12	a	a	PRON
fis-2233	265	13	is	be	AUX
fis-2233	265	14	unable	unable	ADJ
fis-2233	265	15	to	to	PART
fis-2233	265	16	discriminate	discriminate	VERB
fis-2233	265	17	between	between	ADP
fis-2233	265	18	different	different	ADJ
fis-2233	265	19	multiaxial	multiaxial	ADJ
fis-2233	265	20	states	state	NOUN
fis-2233	265	21	of	of	ADP
fis-2233	265	22	stress	stress	NOUN
fis-2233	265	23	;	;	PUNCT
fis-2233	265	24	the	the	DET
fis-2233	265	25	estimated	estimate	VERB
fis-2233	265	26	damage	damage	NOUN
fis-2233	265	27	is	be	AUX
fis-2233	265	28	constant	constant	ADJ
fis-2233	265	29	and	and	CCONJ
fis-2233	265	30	always	always	ADV
fis-2233	265	31	equal	equal	ADJ
fis-2233	265	32	to	to	ADP
fis-2233	265	33	the	the	DET
fis-2233	265	34	value	value	NOUN
fis-2233	265	35	for	for	ADP
fis-2233	265	36	torsion	torsion	NOUN
fis-2233	265	37	loading	loading	NOUN
fis-2233	265	38	.	.	PUNCT
fis-2233	266	1	materials	material	NOUN
fis-2233	266	2	like	like	ADP
fis-2233	266	3	a	a	PRON
fis-2233	266	4	,	,	PUNCT
fis-2233	266	5	however	however	ADV
fis-2233	266	6	,	,	PUNCT
fis-2233	266	7	may	may	AUX
fis-2233	266	8	be	be	AUX
fis-2233	266	9	very	very	ADV
fis-2233	266	10	common	common	ADJ
fis-2233	266	11	in	in	ADP
fis-2233	266	12	engineering	engineering	NOUN
fis-2233	266	13	applications	application	NOUN
fis-2233	266	14	.	.	PUNCT
fis-2233	267	1	it	it	PRON
fis-2233	267	2	may	may	AUX
fis-2233	267	3	characterize	characterize	VERB
fis-2233	267	4	those	those	DET
fis-2233	267	5	unfortunate	unfortunate	ADJ
fis-2233	267	6	situations	situation	NOUN
fis-2233	267	7	in	in	ADP
fis-2233	267	8	which	which	PRON
fis-2233	267	9	only	only	ADV
fis-2233	267	10	the	the	DET
fis-2233	267	11	tension	tension	NOUN
fis-2233	267	12	s	s	NOUN
fis-2233	267	13	-	-	PUNCT
fis-2233	267	14	n	n	PRON
fis-2233	267	15	curve	curve	NOUN
fis-2233	267	16	is	be	AUX
fis-2233	267	17	available	available	ADJ
fis-2233	267	18	from	from	ADP
fis-2233	267	19	experiments	experiment	NOUN
fis-2233	267	20	,	,	PUNCT
fis-2233	267	21	whereas	whereas	SCONJ
fis-2233	267	22	the	the	DET
fis-2233	267	23	torsion	torsion	NOUN
fis-2233	267	24	s	s	NOUN
fis-2233	267	25	-	-	PUNCT
fis-2233	267	26	n	n	PRON
fis-2233	267	27	curve	curve	NOUN
fis-2233	267	28	is	be	AUX
fis-2233	267	29	only	only	ADV
fis-2233	267	30	approximated	approximate	VERB
fis-2233	267	31	by	by	ADP
fis-2233	267	32	taking	take	VERB
fis-2233	267	33	a	a	DET
fis-2233	267	34	line	line	NOUN
fis-2233	267	35	parallel	parallel	ADJ
fis-2233	267	36	and	and	CCONJ
fis-2233	267	37	moved	move	VERB
fis-2233	267	38	downward	downward	ADV
fis-2233	267	39	by	by	ADP
fis-2233	267	40	3	3	NUM
fis-2233	267	41	(	(	PUNCT
fis-2233	267	42	von	von	PROPN
fis-2233	267	43	mises	mises	PROPN
fis-2233	267	44	rule	rule	PROPN
fis-2233	267	45	)	)	PUNCT
fis-2233	267	46	.	.	PUNCT
fis-2233	268	1	although	although	SCONJ
fis-2233	268	2	not	not	PART
fis-2233	268	3	recommended	recommend	VERB
fis-2233	268	4	,	,	PUNCT
fis-2233	268	5	this	this	DET
fis-2233	268	6	a	a	DET
fis-2233	268	7	-	-	PUNCT
fis-2233	268	8	type	type	NOUN
fis-2233	268	9	material	material	NOUN
fis-2233	268	10	represents	represent	VERB
fis-2233	268	11	the	the	DET
fis-2233	268	12	only	only	ADJ
fis-2233	268	13	solution	solution	NOUN
fis-2233	268	14	feasible	feasible	ADJ
fis-2233	268	15	for	for	ADP
fis-2233	268	16	applying	apply	VERB
fis-2233	268	17	the	the	DET
fis-2233	268	18	pbp	pbp	NOUN
fis-2233	268	19	criterion	criterion	NOUN
fis-2233	268	20	,	,	PUNCT
fis-2233	268	21	if	if	SCONJ
fis-2233	268	22	no	no	DET
fis-2233	268	23	fatigue	fatigue	NOUN
fis-2233	268	24	data	datum	NOUN
fis-2233	268	25	for	for	ADP
fis-2233	268	26	torsion	torsion	NOUN
fis-2233	268	27	loading	loading	NOUN
fis-2233	268	28	are	be	AUX
fis-2233	268	29	available	available	ADJ
fis-2233	268	30	.	.	PUNCT
fis-2233	269	1	it	it	PRON
fis-2233	269	2	has	have	VERB
fis-2233	269	3	to	to	PART
fis-2233	269	4	be	be	AUX
fis-2233	269	5	emphasized	emphasize	VERB
fis-2233	269	6	that	that	SCONJ
fis-2233	269	7	such	such	DET
fis-2233	269	8	a	a	DET
fis-2233	269	9	“	"	PUNCT
fis-2233	269	10	von	von	PROPN
fis-2233	269	11	mises	mises	PROPN
fis-2233	269	12	approximation	approximation	NOUN
fis-2233	269	13	”	"	PUNCT
fis-2233	269	14	is	be	AUX
fis-2233	269	15	even	even	ADV
fis-2233	269	16	hypothesized	hypothesized	ADJ
fis-2233	269	17	(	(	PUNCT
fis-2233	269	18	implicitly	implicitly	ADV
fis-2233	269	19	)	)	PUNCT
fis-2233	269	20	in	in	ADP
fis-2233	269	21	some	some	DET
fis-2233	269	22	multiaxial	multiaxial	ADJ
fis-2233	269	23	criteria	criterion	NOUN
fis-2233	269	24	(	(	PUNCT
fis-2233	269	25	e.g.	e.g.	ADV
fis-2233	269	26	[	[	X
fis-2233	269	27	18	18	NUM
fis-2233	269	28	]	]	NUM
fis-2233	269	29	)	)	PUNCT
fis-2233	269	30	,	,	PUNCT
fis-2233	269	31	which	which	PRON
fis-2233	269	32	may	may	AUX
fis-2233	269	33	thus	thus	ADV
fis-2233	269	34	lead	lead	VERB
fis-2233	269	35	to	to	ADP
fis-2233	269	36	unrealistic	unrealistic	ADJ
fis-2233	269	37	estimations	estimation	NOUN
fis-2233	269	38	(	(	PUNCT
fis-2233	269	39	see	see	VERB
fis-2233	269	40	[	[	X
fis-2233	269	41	4,8	4,8	NUM
fis-2233	269	42	]	]	PUNCT
fis-2233	269	43	)	)	PUNCT
fis-2233	269	44	.	.	PUNCT
fis-2233	270	1	fe	fe	PROPN
fis-2233	270	2	durability	durability	NOUN
fis-2233	270	3	analysis	analysis	NOUN
fis-2233	270	4	an	an	DET
fis-2233	270	5	l	l	ADV
fis-2233	270	6	-	-	ADJ
fis-2233	270	7	shaped	shape	VERB
fis-2233	270	8	structure	structure	NOUN
fis-2233	270	9	under	under	ADP
fis-2233	270	10	random	random	ADJ
fis-2233	270	11	acceleration	acceleration	NOUN
fis-2233	270	12	d.	d.	PROPN
fis-2233	270	13	benasciutti	benasciutti	PROPN
fis-2233	270	14	et	et	PROPN
fis-2233	270	15	alii	alii	PROPN
fis-2233	270	16	,	,	PUNCT
fis-2233	270	17	frattura	frattura	PROPN
fis-2233	270	18	ed	ed	PROPN
fis-2233	270	19	integrità	integrità	PROPN
fis-2233	270	20	strutturale	strutturale	PROPN
fis-2233	270	21	,	,	PUNCT
fis-2233	270	22	47	47	NUM
fis-2233	270	23	(	(	PUNCT
fis-2233	270	24	2019	2019	NUM
fis-2233	270	25	)	)	PUNCT
fis-2233	270	26	348	348	NUM
fis-2233	270	27	-	-	SYM
fis-2233	270	28	366	366	NUM
fis-2233	270	29	;	;	PUNCT
fis-2233	270	30	doi	doi	NOUN
fis-2233	270	31	:	:	PUNCT
fis-2233	270	32	10.3221	10.3221	NUM
fis-2233	270	33	/	/	SYM
fis-2233	270	34	igf	igf	PROPN
fis-2233	270	35	-	-	ADJ
fis-2233	270	36	esis.47.26	esis.47.26	ADJ
fis-2233	270	37	359	359	NUM
fis-2233	270	38	the	the	DET
fis-2233	270	39	purpose	purpose	NOUN
fis-2233	270	40	of	of	ADP
fis-2233	270	41	this	this	DET
fis-2233	270	42	second	second	ADJ
fis-2233	270	43	example	example	NOUN
fis-2233	270	44	is	be	AUX
fis-2233	270	45	to	to	PART
fis-2233	270	46	illustrate	illustrate	VERB
fis-2233	270	47	how	how	SCONJ
fis-2233	270	48	the	the	DET
fis-2233	270	49	pbp	pbp	NOUN
fis-2233	270	50	method	method	NOUN
fis-2233	270	51	can	can	AUX
fis-2233	270	52	easily	easily	ADV
fis-2233	270	53	be	be	AUX
fis-2233	270	54	embedded	embed	VERB
fis-2233	270	55	into	into	ADP
fis-2233	270	56	a	a	DET
fis-2233	270	57	fe	fe	NOUN
fis-2233	270	58	durability	durability	NOUN
fis-2233	270	59	analysis	analysis	NOUN
fis-2233	270	60	of	of	ADP
fis-2233	270	61	a	a	DET
fis-2233	270	62	structure	structure	NOUN
fis-2233	270	63	undergoing	undergo	VERB
fis-2233	270	64	random	random	ADJ
fis-2233	270	65	vibrations	vibration	NOUN
fis-2233	270	66	.	.	PUNCT
fis-2233	271	1	the	the	DET
fis-2233	271	2	example	example	NOUN
fis-2233	271	3	considers	consider	VERB
fis-2233	271	4	an	an	DET
fis-2233	271	5	l	l	ADV
fis-2233	271	6	-	-	ADJ
fis-2233	271	7	shaped	shape	VERB
fis-2233	271	8	structure	structure	NOUN
fis-2233	271	9	made	make	VERB
fis-2233	271	10	of	of	ADP
fis-2233	271	11	steel	steel	NOUN
fis-2233	271	12	,	,	PUNCT
fis-2233	271	13	whose	whose	DET
fis-2233	271	14	geometry	geometry	NOUN
fis-2233	271	15	imitates	imitate	VERB
fis-2233	271	16	that	that	SCONJ
fis-2233	271	17	one	one	NOUN
fis-2233	271	18	already	already	ADV
fis-2233	271	19	studied	study	VERB
fis-2233	271	20	in	in	ADP
fis-2233	271	21	[	[	X
fis-2233	271	22	18	18	NUM
fis-2233	271	23	]	]	X
fis-2233	271	24	;	;	PUNCT
fis-2233	271	25	some	some	DET
fis-2233	271	26	dimensions	dimension	NOUN
fis-2233	271	27	have	have	AUX
fis-2233	271	28	been	be	AUX
fis-2233	271	29	slightly	slightly	ADV
fis-2233	271	30	changed	change	VERB
fis-2233	271	31	[	[	X
fis-2233	271	32	19	19	NUM
fis-2233	271	33	]	]	PUNCT
fis-2233	271	34	to	to	PART
fis-2233	271	35	enhance	enhance	VERB
fis-2233	271	36	stress	stress	NOUN
fis-2233	271	37	concentration	concentration	NOUN
fis-2233	271	38	effect	effect	NOUN
fis-2233	271	39	at	at	ADP
fis-2233	271	40	the	the	DET
fis-2233	271	41	hole	hole	NOUN
fis-2233	271	42	and	and	CCONJ
fis-2233	271	43	two	two	NUM
fis-2233	271	44	lateral	lateral	ADJ
fis-2233	271	45	notches	notch	NOUN
fis-2233	271	46	.	.	PUNCT
fis-2233	272	1	a	a	DET
fis-2233	272	2	finite	finite	ADJ
fis-2233	272	3	element	element	NOUN
fis-2233	272	4	model	model	NOUN
fis-2233	272	5	with	with	ADP
fis-2233	272	6	“	"	PUNCT
fis-2233	272	7	shell	shell	ADJ
fis-2233	272	8	”	"	PUNCT
fis-2233	272	9	elements	element	NOUN
fis-2233	272	10	is	be	AUX
fis-2233	272	11	used	use	VERB
fis-2233	272	12	to	to	PART
fis-2233	272	13	discretize	discretize	VERB
fis-2233	272	14	the	the	DET
fis-2233	272	15	structure	structure	NOUN
fis-2233	272	16	.	.	PUNCT
fis-2233	273	1	a	a	DET
fis-2233	273	2	mapped	map	VERB
fis-2233	273	3	mesh	mesh	NOUN
fis-2233	273	4	is	be	AUX
fis-2233	273	5	generated	generate	VERB
fis-2233	273	6	in	in	ADP
fis-2233	273	7	the	the	DET
fis-2233	273	8	notch	notch	ADJ
fis-2233	273	9	regions	region	NOUN
fis-2233	273	10	.	.	PUNCT
fis-2233	274	1	the	the	DET
fis-2233	274	2	average	average	ADJ
fis-2233	274	3	elements	element	NOUN
fis-2233	274	4	size	size	NOUN
fis-2233	274	5	is	be	AUX
fis-2233	274	6	3.5	3.5	NUM
fis-2233	274	7	mm	mm	NOUN
fis-2233	274	8	;	;	PUNCT
fis-2233	274	9	the	the	DET
fis-2233	274	10	smallest	small	ADJ
fis-2233	274	11	element	element	NOUN
fis-2233	274	12	dimension	dimension	NOUN
fis-2233	274	13	of	of	ADP
fis-2233	274	14	0.8	0.8	NUM
fis-2233	274	15	mm	mm	NOUN
fis-2233	274	16	appears	appear	VERB
fis-2233	274	17	in	in	ADP
fis-2233	274	18	regions	region	NOUN
fis-2233	274	19	of	of	ADP
fis-2233	274	20	mesh	mesh	NOUN
fis-2233	274	21	refinement	refinement	NOUN
fis-2233	274	22	at	at	ADP
fis-2233	274	23	notch	notch	ADJ
fis-2233	274	24	tip	tip	NOUN
fis-2233	274	25	.	.	PUNCT
fis-2233	275	1	the	the	DET
fis-2233	275	2	model	model	NOUN
fis-2233	275	3	has	have	VERB
fis-2233	275	4	a	a	DET
fis-2233	275	5	total	total	NOUN
fis-2233	275	6	of	of	ADP
fis-2233	275	7	1529	1529	NUM
fis-2233	275	8	elements	element	NOUN
fis-2233	275	9	and	and	CCONJ
fis-2233	275	10	1687	1687	NUM
fis-2233	275	11	nodes	node	NOUN
fis-2233	275	12	.	.	PUNCT
fis-2233	276	1	the	the	DET
fis-2233	276	2	structure	structure	NOUN
fis-2233	276	3	is	be	AUX
fis-2233	276	4	clamped	clamp	VERB
fis-2233	276	5	at	at	ADP
fis-2233	276	6	both	both	DET
fis-2233	276	7	ends	end	NOUN
fis-2233	276	8	,	,	PUNCT
fis-2233	276	9	at	at	ADP
fis-2233	276	10	which	which	PRON
fis-2233	276	11	a	a	DET
fis-2233	276	12	random	random	ADJ
fis-2233	276	13	acceleration	acceleration	NOUN
fis-2233	276	14	is	be	AUX
fis-2233	276	15	imposed	impose	VERB
fis-2233	276	16	along	along	ADP
fis-2233	276	17	the	the	DET
fis-2233	276	18	direction	direction	NOUN
fis-2233	276	19	normal	normal	ADJ
fis-2233	276	20	to	to	ADP
fis-2233	276	21	the	the	DET
fis-2233	276	22	specimen	speciman	NOUN
fis-2233	276	23	plane	plane	NOUN
fis-2233	276	24	.	.	PUNCT
fis-2233	277	1	input	input	NOUN
fis-2233	277	2	accelerations	acceleration	NOUN
fis-2233	277	3	have	have	VERB
fis-2233	277	4	a	a	DET
fis-2233	277	5	band	band	NOUN
fis-2233	277	6	-	-	PUNCT
fis-2233	277	7	limited	limited	ADJ
fis-2233	277	8	(	(	PUNCT
fis-2233	277	9	rectangular	rectangular	ADJ
fis-2233	277	10	)	)	PUNCT
fis-2233	277	11	one	one	NUM
fis-2233	277	12	-	-	PUNCT
fis-2233	277	13	sided	side	VERB
fis-2233	277	14	psd	psd	NOUN
fis-2233	277	15	,	,	PUNCT
fis-2233	277	16	ranging	range	VERB
fis-2233	277	17	from	from	ADP
fis-2233	277	18	1	1	NUM
fis-2233	277	19	to	to	ADP
fis-2233	277	20	200	200	NUM
fis-2233	277	21	hz	hz	NOUN
fis-2233	277	22	,	,	PUNCT
fis-2233	277	23	with	with	ADP
fis-2233	277	24	height	height	NOUN
fis-2233	277	25	25π	25π	NOUN
fis-2233	277	26	(	(	PUNCT
fis-2233	277	27	m	m	NOUN
fis-2233	277	28	/	/	SYM
fis-2233	277	29	s2)2·hz-1	s2)2·hz-1	NOUN
fis-2233	277	30	(	(	PUNCT
fis-2233	277	31	as	as	ADP
fis-2233	277	32	in	in	ADP
fis-2233	277	33	[	[	X
fis-2233	277	34	18	18	NUM
fis-2233	277	35	]	]	NUM
fis-2233	277	36	)	)	PUNCT
fis-2233	277	37	.	.	PUNCT
fis-2233	278	1	input	input	NOUN
fis-2233	278	2	accelerations	acceleration	NOUN
fis-2233	278	3	applied	apply	VERB
fis-2233	278	4	at	at	ADP
fis-2233	278	5	the	the	DET
fis-2233	278	6	two	two	NUM
fis-2233	278	7	clamped	clamp	VERB
fis-2233	278	8	ends	end	NOUN
fis-2233	278	9	are	be	AUX
fis-2233	278	10	fully	fully	ADV
fis-2233	278	11	correlated	correlate	VERB
fis-2233	278	12	(	(	PUNCT
fis-2233	278	13	their	their	PRON
fis-2233	278	14	cross	cross	NOUN
fis-2233	278	15	-	-	ADJ
fis-2233	278	16	psd	psd	NOUN
fis-2233	278	17	is	be	AUX
fis-2233	278	18	different	different	ADJ
fis-2233	278	19	from	from	ADP
fis-2233	278	20	zero	zero	NUM
fis-2233	278	21	)	)	PUNCT
fis-2233	278	22	.	.	PUNCT
fis-2233	279	1	figure	figure	VERB
fis-2233	279	2	6	6	NUM
fis-2233	279	3	:	:	PUNCT
fis-2233	279	4	geometry	geometry	NOUN
fis-2233	279	5	and	and	CCONJ
fis-2233	279	6	finite	finite	ADJ
fis-2233	279	7	element	element	NOUN
fis-2233	279	8	model	model	NOUN
fis-2233	279	9	of	of	ADP
fis-2233	279	10	the	the	DET
fis-2233	279	11	l	l	ADV
fis-2233	279	12	-	-	PUNCT
fis-2233	279	13	shaped	shape	VERB
fis-2233	279	14	beam	beam	NOUN
fis-2233	279	15	.	.	PUNCT
fis-2233	280	1	thickness	thickness	NOUN
fis-2233	280	2	is	be	AUX
fis-2233	280	3	0.5	0.5	NUM
fis-2233	280	4	mm	mm	NOUN
fis-2233	280	5	.	.	PUNCT
fis-2233	281	1	a	a	DET
fis-2233	281	2	frequency	frequency	NOUN
fis-2233	281	3	-	-	PUNCT
fis-2233	281	4	domain	domain	NOUN
fis-2233	281	5	spectrum	spectrum	NOUN
fis-2233	281	6	analysis	analysis	NOUN
fis-2233	281	7	is	be	AUX
fis-2233	281	8	carried	carry	VERB
fis-2233	281	9	out	out	ADP
fis-2233	281	10	through	through	ADP
fis-2233	281	11	fe	fe	NOUN
fis-2233	281	12	simulations	simulation	NOUN
fis-2233	281	13	to	to	PART
fis-2233	281	14	determine	determine	VERB
fis-2233	281	15	the	the	DET
fis-2233	281	16	structure	structure	NOUN
fis-2233	281	17	natural	natural	ADJ
fis-2233	281	18	frequencies	frequency	NOUN
fis-2233	281	19	and	and	CCONJ
fis-2233	281	20	the	the	DET
fis-2233	281	21	stress	stress	NOUN
fis-2233	281	22	psd	psd	NOUN
fis-2233	281	23	matrix	matrix	NOUN
fis-2233	281	24	in	in	ADP
fis-2233	281	25	every	every	DET
fis-2233	281	26	fe	fe	X
fis-2233	281	27	node	node	NOUN
fis-2233	281	28	.	.	PUNCT
fis-2233	282	1	stress	stress	PROPN
fis-2233	282	2	spectra	spectra	PROPN
fis-2233	282	3	are	be	AUX
fis-2233	282	4	next	next	ADV
fis-2233	282	5	processed	process	VERB
fis-2233	282	6	by	by	ADP
fis-2233	282	7	the	the	DET
fis-2233	282	8	pbp	pbp	NOUN
fis-2233	282	9	method	method	NOUN
fis-2233	282	10	to	to	PART
fis-2233	282	11	determine	determine	VERB
fis-2233	282	12	the	the	DET
fis-2233	282	13	total	total	ADJ
fis-2233	282	14	fatigue	fatigue	NOUN
fis-2233	282	15	damage	damage	NOUN
fis-2233	282	16	caused	cause	VERB
fis-2233	282	17	,	,	PUNCT
fis-2233	282	18	in	in	ADP
fis-2233	282	19	each	each	DET
fis-2233	282	20	node	node	NOUN
fis-2233	282	21	,	,	PUNCT
fis-2233	282	22	by	by	ADP
fis-2233	282	23	the	the	DET
fis-2233	282	24	local	local	ADJ
fis-2233	282	25	multiaxial	multiaxial	ADJ
fis-2233	282	26	state	state	NOUN
fis-2233	282	27	of	of	ADP
fis-2233	282	28	stress	stress	NOUN
fis-2233	282	29	.	.	PUNCT
fis-2233	283	1	the	the	DET
fis-2233	283	2	whole	whole	ADJ
fis-2233	283	3	numerical	numerical	ADJ
fis-2233	283	4	analysis	analysis	NOUN
fis-2233	283	5	is	be	AUX
fis-2233	283	6	performed	perform	VERB
fis-2233	283	7	by	by	ADP
fis-2233	283	8	software	software	NOUN
fis-2233	283	9	ansys	ansys	PROPN
fis-2233	283	10	with	with	ADP
fis-2233	283	11	apdl	apdl	NOUN
fis-2233	283	12	language	language	NOUN
fis-2233	283	13	,	,	PUNCT
fis-2233	283	14	which	which	PRON
fis-2233	283	15	is	be	AUX
fis-2233	283	16	also	also	ADV
fis-2233	283	17	used	use	VERB
fis-2233	283	18	to	to	PART
fis-2233	283	19	implement	implement	VERB
fis-2233	283	20	the	the	DET
fis-2233	283	21	pbp	pbp	NOUN
fis-2233	283	22	method	method	NOUN
fis-2233	283	23	.	.	PUNCT
fis-2233	284	1	appendix	appendix	NOUN
fis-2233	284	2	b	b	PUNCT
fis-2233	284	3	provides	provide	VERB
fis-2233	284	4	more	more	ADJ
fis-2233	284	5	details	detail	NOUN
fis-2233	284	6	on	on	ADP
fis-2233	284	7	the	the	DET
fis-2233	284	8	numerical	numerical	ADJ
fis-2233	284	9	algorithm	algorithm	NOUN
fis-2233	284	10	.	.	PUNCT
fis-2233	285	1	this	this	DET
fis-2233	285	2	analysis	analysis	NOUN
fis-2233	285	3	strategy	strategy	NOUN
fis-2233	285	4	,	,	PUNCT
fis-2233	285	5	in	in	ADP
fis-2233	285	6	which	which	PRON
fis-2233	285	7	all	all	DET
fis-2233	285	8	calculations	calculation	NOUN
fis-2233	285	9	are	be	AUX
fis-2233	285	10	carried	carry	VERB
fis-2233	285	11	out	out	ADP
fis-2233	285	12	in	in	ADP
fis-2233	285	13	ansys	ansys	PROPN
fis-2233	285	14	software	software	PROPN
fis-2233	285	15	,	,	PUNCT
fis-2233	285	16	simplifies	simplify	VERB
fis-2233	285	17	the	the	DET
fis-2233	285	18	overall	overall	ADJ
fis-2233	285	19	data	datum	NOUN
fis-2233	285	20	management	management	NOUN
fis-2233	285	21	and	and	CCONJ
fis-2233	285	22	thus	thus	ADV
fis-2233	285	23	represents	represent	VERB
fis-2233	285	24	an	an	DET
fis-2233	285	25	enhancement	enhancement	NOUN
fis-2233	285	26	of	of	ADP
fis-2233	285	27	the	the	DET
fis-2233	285	28	two	two	NUM
fis-2233	285	29	-	-	PUNCT
fis-2233	285	30	phase	phase	NOUN
fis-2233	285	31	procedure	procedure	NOUN
fis-2233	285	32	followed	follow	VERB
fis-2233	285	33	in	in	ADP
fis-2233	285	34	[	[	X
fis-2233	285	35	4	4	NUM
fis-2233	285	36	]	]	PUNCT
fis-2233	285	37	,	,	PUNCT
fis-2233	285	38	in	in	ADP
fis-2233	285	39	which	which	PRON
fis-2233	285	40	nodal	nodal	NOUN
fis-2233	285	41	fe	fe	X
fis-2233	285	42	results	result	NOUN
fis-2233	285	43	(	(	PUNCT
fis-2233	285	44	psd	psd	NOUN
fis-2233	285	45	matrices	matrix	NOUN
fis-2233	285	46	)	)	PUNCT
fis-2233	285	47	were	be	AUX
fis-2233	285	48	first	first	ADV
fis-2233	285	49	calculated	calculate	VERB
fis-2233	285	50	in	in	ADP
fis-2233	285	51	ansys	ansys	PROPN
fis-2233	285	52	,	,	PUNCT
fis-2233	285	53	then	then	ADV
fis-2233	285	54	exported	export	VERB
fis-2233	285	55	and	and	CCONJ
fis-2233	285	56	post	post	VERB
fis-2233	285	57	-	-	ADJ
fis-2233	285	58	processed	process	VERB
fis-2233	285	59	in	in	ADP
fis-2233	285	60	matlab	matlab	PROPN
fis-2233	285	61	to	to	PART
fis-2233	285	62	apply	apply	VERB
fis-2233	285	63	the	the	DET
fis-2233	285	64	pbp	pbp	NOUN
fis-2233	285	65	criterion	criterion	NOUN
fis-2233	285	66	.	.	PUNCT
fis-2233	286	1	the	the	DET
fis-2233	286	2	first	first	ADJ
fis-2233	286	3	five	five	NUM
fis-2233	286	4	natural	natural	ADJ
fis-2233	286	5	frequencies	frequency	NOUN
fis-2233	286	6	returned	return	VERB
fis-2233	286	7	by	by	ADP
fis-2233	286	8	modal	modal	ADJ
fis-2233	286	9	analysis	analysis	NOUN
fis-2233	286	10	are	be	AUX
fis-2233	286	11	:	:	PUNCT
fis-2233	286	12	f1=16.1	f1=16.1	ADJ
fis-2233	286	13	hz	hz	VERB
fis-2233	286	14	,	,	PUNCT
fis-2233	286	15	f2=67.3	f2=67.3	PROPN
fis-2233	286	16	hz	hz	NOUN
fis-2233	286	17	,	,	PUNCT
fis-2233	286	18	f3=82.2	f3=82.2	PROPN
fis-2233	286	19	hz	hz	NOUN
fis-2233	286	20	,	,	PUNCT
fis-2233	286	21	f4=175.7	f4=175.7	PRON
fis-2233	286	22	hz	hz	VERB
fis-2233	286	23	,	,	PUNCT
fis-2233	286	24	f5=178.6	f5=178.6	PROPN
fis-2233	286	25	hz	hz	PROPN
fis-2233	286	26	.	.	PUNCT
fis-2233	287	1	in	in	ADP
fis-2233	287	2	each	each	DET
fis-2233	287	3	node	node	NOUN
fis-2233	287	4	the	the	DET
fis-2233	287	5	state	state	NOUN
fis-2233	287	6	of	of	ADP
fis-2233	287	7	stress	stress	NOUN
fis-2233	287	8	turns	turn	VERB
fis-2233	287	9	to	to	PART
fis-2233	287	10	be	be	AUX
fis-2233	287	11	biaxial	biaxial	ADJ
fis-2233	287	12	.	.	PUNCT
fis-2233	288	1	fig	fig	NOUN
fis-2233	288	2	.	.	PUNCT
fis-2233	289	1	7	7	NUM
fis-2233	289	2	displays	display	VERB
fis-2233	289	3	an	an	DET
fis-2233	289	4	example	example	NOUN
fis-2233	289	5	of	of	ADP
fis-2233	289	6	autoand	autoand	NOUN
fis-2233	289	7	cross	cross	NOUN
fis-2233	289	8	-	-	NOUN
fis-2233	289	9	psds	psds	ADJ
fis-2233	289	10	in	in	ADP
fis-2233	289	11	a	a	DET
fis-2233	289	12	node	node	NOUN
fis-2233	289	13	close	close	ADV
fis-2233	289	14	to	to	ADP
fis-2233	289	15	the	the	DET
fis-2233	289	16	round	round	NOUN
fis-2233	289	17	notch	notch	NOUN
fis-2233	289	18	.	.	PUNCT
fis-2233	290	1	results	result	NOUN
fis-2233	290	2	refer	refer	VERB
fis-2233	290	3	to	to	ADP
fis-2233	290	4	the	the	DET
fis-2233	290	5	“	"	PUNCT
fis-2233	290	6	top	top	ADJ
fis-2233	290	7	”	"	PUNCT
fis-2233	290	8	layer	layer	NOUN
fis-2233	290	9	of	of	ADP
fis-2233	290	10	shell	shell	ADJ
fis-2233	290	11	elements	element	NOUN
fis-2233	290	12	.	.	PUNCT
fis-2233	291	1	for	for	ADP
fis-2233	291	2	fatigue	fatigue	NOUN
fis-2233	291	3	damage	damage	NOUN
fis-2233	291	4	estimation	estimation	NOUN
fis-2233	291	5	,	,	PUNCT
fis-2233	291	6	two	two	NUM
fis-2233	291	7	different	different	ADJ
fis-2233	291	8	types	type	NOUN
fis-2233	291	9	of	of	ADP
fis-2233	291	10	material	material	NOUN
fis-2233	291	11	(	(	PUNCT
fis-2233	291	12	material	material	NOUN
fis-2233	291	13	1	1	NUM
fis-2233	291	14	and	and	CCONJ
fis-2233	291	15	2	2	NUM
fis-2233	291	16	)	)	PUNCT
fis-2233	291	17	were	be	AUX
fis-2233	291	18	considered	consider	VERB
fis-2233	291	19	for	for	ADP
fis-2233	291	20	the	the	DET
fis-2233	291	21	structure	structure	NOUN
fis-2233	291	22	.	.	PUNCT
fis-2233	292	1	material	material	NOUN
fis-2233	292	2	1	1	NUM
fis-2233	292	3	(	(	PUNCT
fis-2233	292	4	likewise	likewise	ADV
fis-2233	292	5	material	material	VERB
fis-2233	292	6	a	a	PRON
fis-2233	292	7	in	in	ADP
fis-2233	292	8	tab	tab	NOUN
fis-2233	292	9	.	.	PUNCT
fis-2233	292	10	2	2	NUM
fis-2233	292	11	)	)	PUNCT
fis-2233	292	12	is	be	AUX
fis-2233	292	13	only	only	ADV
fis-2233	292	14	sensitive	sensitive	ADJ
fis-2233	292	15	to	to	ADP
fis-2233	292	16	deviatoric	deviatoric	ADJ
fis-2233	292	17	stress	stress	NOUN
fis-2233	292	18	components	component	NOUN
fis-2233	292	19	,	,	PUNCT
fis-2233	292	20	whereas	whereas	SCONJ
fis-2233	292	21	material	material	NOUN
fis-2233	292	22	2	2	NUM
fis-2233	292	23	(	(	PUNCT
fis-2233	292	24	likewise	likewise	ADV
fis-2233	292	25	material	material	ADJ
fis-2233	292	26	c	c	PROPN
fis-2233	292	27	in	in	ADP
fis-2233	292	28	tab	tab	NOUN
fis-2233	292	29	.	.	PUNCT
fis-2233	293	1	2	2	NUM
fis-2233	293	2	)	)	PUNCT
fis-2233	293	3	is	be	AUX
fis-2233	293	4	also	also	ADV
fis-2233	293	5	sensitive	sensitive	ADJ
fis-2233	293	6	to	to	ADP
fis-2233	293	7	hydrostatic	hydrostatic	ADJ
fis-2233	293	8	stress	stress	NOUN
fis-2233	293	9	component	component	NOUN
fis-2233	293	10	.	.	PUNCT
fis-2233	294	1	the	the	DET
fis-2233	294	2	material	material	NOUN
fis-2233	294	3	properties	property	NOUN
fis-2233	294	4	used	use	VERB
fis-2233	294	5	in	in	ADP
fis-2233	294	6	simulations	simulation	NOUN
fis-2233	294	7	are	be	AUX
fis-2233	294	8	:	:	PUNCT
fis-2233	294	9	σa=300	σa=300	PROPN
fis-2233	294	10	mpa	mpa	PROPN
fis-2233	294	11	,	,	PUNCT
fis-2233	294	12	τa=300/3=173	τa=300/3=173	PUNCT
fis-2233	294	13	mpa	mpa	PROPN
fis-2233	294	14	,	,	PUNCT
fis-2233	294	15	k=kτ=8	k=kτ=8	PROPN
fis-2233	294	16	(	(	PUNCT
fis-2233	294	17	material	material	NOUN
fis-2233	294	18	1	1	NUM
fis-2233	294	19	)	)	PUNCT
fis-2233	294	20	;	;	PUNCT
fis-2233	294	21	σa=300	σa=300	PROPN
fis-2233	294	22	mpa	mpa	PROPN
fis-2233	294	23	,	,	PUNCT
fis-2233	294	24	τa=290	τa=290	PROPN
fis-2233	294	25	mpa	mpa	PROPN
fis-2233	294	26	,	,	PUNCT
fis-2233	294	27	k=8	k=8	PROPN
fis-2233	294	28	,	,	PUNCT
fis-2233	294	29	kτ=5	kτ=5	NOUN
fis-2233	294	30	(	(	PUNCT
fis-2233	294	31	material	material	NOUN
fis-2233	294	32	2	2	NUM
fis-2233	294	33	)	)	PUNCT
fis-2233	294	34	.	.	PUNCT
fis-2233	295	1	fig	fig	NOUN
fis-2233	295	2	.	.	PUNCT
fis-2233	296	1	8	8	NUM
fis-2233	296	2	displays	display	VERB
fis-2233	296	3	the	the	DET
fis-2233	296	4	damage	damage	NOUN
fis-2233	296	5	maps	map	NOUN
fis-2233	296	6	for	for	ADP
fis-2233	296	7	either	either	DET
fis-2233	296	8	material	material	NOUN
fis-2233	296	9	.	.	PUNCT
fis-2233	297	1	the	the	DET
fis-2233	297	2	damage	damage	NOUN
fis-2233	297	3	is	be	AUX
fis-2233	297	4	estimated	estimate	VERB
fis-2233	297	5	by	by	ADP
fis-2233	297	6	pbp	pbp	NOUN
fis-2233	297	7	-	-	NOUN
fis-2233	297	8	tb	tb	NOUN
fis-2233	297	9	method	method	NOUN
fis-2233	297	10	in	in	ADP
fis-2233	297	11	eq	eq	ADP
fis-2233	297	12	.	.	PUNCT
fis-2233	298	1	(	(	PUNCT
fis-2233	298	2	16	16	NUM
fis-2233	298	3	)	)	PUNCT
fis-2233	299	1	and	and	CCONJ
fis-2233	299	2	refers	refer	VERB
fis-2233	299	3	to	to	ADP
fis-2233	299	4	the	the	DET
fis-2233	299	5	“	"	PUNCT
fis-2233	299	6	top	top	ADJ
fis-2233	299	7	”	"	PUNCT
fis-2233	299	8	layer	layer	NOUN
fis-2233	299	9	of	of	ADP
fis-2233	299	10	shell	shell	ADJ
fis-2233	299	11	elements	element	NOUN
fis-2233	299	12	.	.	PUNCT
fis-2233	300	1	left	leave	VERB
fis-2233	300	2	figs	fig	NOUN
fis-2233	300	3	.	.	PUNCT
fis-2233	301	1	(	(	PUNCT
fis-2233	301	2	a	a	X
fis-2233	301	3	)	)	PUNCT
fis-2233	301	4	show	show	VERB
fis-2233	301	5	the	the	DET
fis-2233	301	6	damage	damage	NOUN
fis-2233	301	7	d	d	NOUN
fis-2233	301	8	in	in	ADP
fis-2233	301	9	linear	linear	ADJ
fis-2233	301	10	scale	scale	NOUN
fis-2233	301	11	to	to	PART
fis-2233	301	12	better	well	ADV
fis-2233	301	13	highlight	highlight	VERB
fis-2233	301	14	the	the	DET
fis-2233	301	15	locations	location	NOUN
fis-2233	301	16	of	of	ADP
fis-2233	301	17	the	the	DET
fis-2233	301	18	most	most	ADJ
fis-2233	301	19	damage	damage	NOUN
fis-2233	301	20	points	point	NOUN
fis-2233	301	21	;	;	PUNCT
fis-2233	301	22	right	right	ADJ
fis-2233	301	23	figs	fig	NOUN
fis-2233	301	24	.	.	PUNCT
fis-2233	302	1	(	(	PUNCT
fis-2233	302	2	b	b	X
fis-2233	302	3	)	)	PUNCT
fis-2233	302	4	show	show	VERB
fis-2233	302	5	the	the	DET
fis-2233	302	6	logarithmic	logarithmic	ADJ
fis-2233	302	7	values	value	NOUN
fis-2233	302	8	log10(d	log10(d	NOUN
fis-2233	302	9	)	)	PUNCT
fis-2233	302	10	to	to	PART
fis-2233	302	11	allow	allow	VERB
fis-2233	302	12	the	the	DET
fis-2233	302	13	differences	difference	NOUN
fis-2233	302	14	in	in	ADP
fis-2233	302	15	the	the	DET
fis-2233	302	16	overall	overall	ADJ
fis-2233	302	17	damage	damage	NOUN
fis-2233	302	18	distribution	distribution	NOUN
fis-2233	302	19	to	to	PART
fis-2233	302	20	be	be	AUX
fis-2233	302	21	appreciated	appreciate	VERB
fis-2233	302	22	best	well	ADV
fis-2233	302	23	.	.	PUNCT
fis-2233	303	1	the	the	DET
fis-2233	303	2	comparison	comparison	NOUN
fis-2233	303	3	of	of	ADP
fis-2233	303	4	figures	figure	NOUN
fis-2233	303	5	makes	make	VERB
fis-2233	303	6	evident	evident	ADJ
fis-2233	303	7	how	how	SCONJ
fis-2233	303	8	the	the	DET
fis-2233	303	9	damage	damage	NOUN
fis-2233	303	10	distribution	distribution	NOUN
fis-2233	303	11	does	do	AUX
fis-2233	303	12	change	change	VERB
fis-2233	303	13	with	with	ADP
fis-2233	303	14	material	material	NOUN
fis-2233	303	15	type	type	NOUN
fis-2233	303	16	.	.	PUNCT
fis-2233	304	1	in	in	ADP
fis-2233	304	2	particular	particular	ADJ
fis-2233	304	3	,	,	PUNCT
fis-2233	304	4	the	the	DET
fis-2233	304	5	location	location	NOUN
fis-2233	304	6	of	of	ADP
fis-2233	304	7	the	the	DET
fis-2233	304	8	most	most	ADV
fis-2233	304	9	damaged	damaged	ADJ
fis-2233	304	10	point	point	NOUN
fis-2233	304	11	in	in	ADP
fis-2233	304	12	the	the	DET
fis-2233	304	13	structure	structure	NOUN
fis-2233	304	14	shifts	shift	NOUN
fis-2233	304	15	in	in	ADP
fis-2233	304	16	accordance	accordance	NOUN
fis-2233	304	17	to	to	ADP
fis-2233	304	18	the	the	DET
fis-2233	304	19	degree	degree	NOUN
fis-2233	304	20	by	by	SCONJ
fis-2233	304	21	which	which	DET
fis-2233	304	22	material	material	NOUN
fis-2233	304	23	is	be	AUX
fis-2233	304	24	sensitive	sensitive	ADJ
fis-2233	304	25	to	to	ADP
fis-2233	304	26	the	the	DET
fis-2233	304	27	hydrostatic	hydrostatic	ADJ
fis-2233	304	28	stress	stress	NOUN
fis-2233	304	29	value	value	NOUN
fis-2233	304	30	.	.	PUNCT
fis-2233	305	1	d.	d.	PROPN
fis-2233	305	2	benasciutti	benasciutti	PROPN
fis-2233	305	3	et	et	PROPN
fis-2233	305	4	alii	alii	PROPN
fis-2233	305	5	,	,	PUNCT
fis-2233	305	6	frattura	frattura	PROPN
fis-2233	305	7	ed	ed	PROPN
fis-2233	305	8	integrità	integrità	PROPN
fis-2233	305	9	strutturale	strutturale	PROPN
fis-2233	305	10	,	,	PUNCT
fis-2233	305	11	47	47	NUM
fis-2233	305	12	(	(	PUNCT
fis-2233	305	13	2019	2019	NUM
fis-2233	305	14	)	)	PUNCT
fis-2233	305	15	348	348	NUM
fis-2233	305	16	-	-	SYM
fis-2233	305	17	366	366	NUM
fis-2233	305	18	;	;	PUNCT
fis-2233	305	19	doi	doi	NOUN
fis-2233	305	20	:	:	PUNCT
fis-2233	305	21	10.3221	10.3221	NUM
fis-2233	305	22	/	/	SYM
fis-2233	305	23	igf	igf	PROPN
fis-2233	305	24	-	-	ADJ
fis-2233	305	25	esis.47.26	esis.47.26	ADJ
fis-2233	305	26	360	360	NUM
fis-2233	305	27	figure	figure	NOUN
fis-2233	305	28	7	7	NUM
fis-2233	305	29	:	:	PUNCT
fis-2233	305	30	autoand	autoand	NOUN
fis-2233	305	31	cross	cross	NOUN
fis-2233	305	32	-	-	NOUN
fis-2233	305	33	psd	psd	ADJ
fis-2233	305	34	(	(	PUNCT
fis-2233	305	35	one	one	NUM
fis-2233	305	36	-	-	PUNCT
fis-2233	305	37	sided	sided	ADJ
fis-2233	305	38	)	)	PUNCT
fis-2233	305	39	in	in	ADP
fis-2233	305	40	a	a	DET
fis-2233	305	41	node	node	NOUN
fis-2233	305	42	close	close	ADV
fis-2233	305	43	to	to	ADP
fis-2233	305	44	the	the	DET
fis-2233	305	45	round	round	NOUN
fis-2233	305	46	notch	notch	NOUN
fis-2233	305	47	.	.	PUNCT
fis-2233	306	1	figure	figure	NOUN
fis-2233	306	2	8	8	NUM
fis-2233	306	3	:	:	PUNCT
fis-2233	306	4	comparison	comparison	NOUN
fis-2233	306	5	of	of	ADP
fis-2233	306	6	damage	damage	NOUN
fis-2233	306	7	maps	map	NOUN
fis-2233	306	8	for	for	ADP
fis-2233	306	9	material	material	NOUN
fis-2233	306	10	1	1	NUM
fis-2233	306	11	vs.	vs.	X
fis-2233	306	12	material	material	NOUN
fis-2233	306	13	2	2	NUM
fis-2233	306	14	.	.	PUNCT
fis-2233	306	15	figs	fig	NOUN
fis-2233	306	16	.	.	PUNCT
fis-2233	307	1	(	(	PUNCT
fis-2233	307	2	b	b	X
fis-2233	307	3	)	)	PUNCT
fis-2233	307	4	plots	plot	NOUN
fis-2233	307	5	of	of	ADP
fis-2233	307	6	log10(d	log10(d	NOUN
fis-2233	307	7	)	)	PUNCT
fis-2233	307	8	from	from	ADP
fis-2233	307	9	figs	fig	NOUN
fis-2233	307	10	.	.	PUNCT
fis-2233	308	1	(	(	PUNCT
fis-2233	308	2	a	a	X
fis-2233	308	3	)	)	PUNCT
fis-2233	308	4	.	.	PUNCT
fis-2233	309	1	indeed	indeed	ADV
fis-2233	309	2	,	,	PUNCT
fis-2233	309	3	in	in	ADP
fis-2233	309	4	a	a	DET
fis-2233	309	5	fe	fe	NOUN
fis-2233	309	6	model	model	NOUN
fis-2233	309	7	the	the	DET
fis-2233	309	8	stress	stress	NOUN
fis-2233	309	9	ratio	ratio	NOUN
fis-2233	309	10	ρref	ρref	NOUN
fis-2233	309	11	may	may	AUX
fis-2233	309	12	vary	vary	VERB
fis-2233	309	13	over	over	ADP
fis-2233	309	14	a	a	DET
fis-2233	309	15	range	range	NOUN
fis-2233	309	16	of	of	ADP
fis-2233	309	17	values	value	NOUN
fis-2233	309	18	,	,	PUNCT
fis-2233	309	19	which	which	PRON
fis-2233	309	20	depend	depend	VERB
fis-2233	309	21	on	on	ADP
fis-2233	309	22	the	the	DET
fis-2233	309	23	variation	variation	NOUN
fis-2233	309	24	of	of	ADP
fis-2233	309	25	the	the	DET
fis-2233	309	26	local	local	ADJ
fis-2233	309	27	multiaxial	multiaxial	ADJ
fis-2233	309	28	state	state	NOUN
fis-2233	309	29	of	of	ADP
fis-2233	309	30	stress	stress	NOUN
fis-2233	309	31	among	among	ADP
fis-2233	309	32	nodes	node	NOUN
fis-2233	309	33	.	.	PUNCT
fis-2233	310	1	fig	fig	NOUN
fis-2233	310	2	.	.	PUNCT
fis-2233	311	1	9(a	9(a	X
fis-2233	311	2	)	)	PUNCT
fis-2233	311	3	illustrates	illustrate	VERB
fis-2233	311	4	the	the	DET
fis-2233	311	5	distribution	distribution	NOUN
fis-2233	311	6	of	of	ADP
fis-2233	311	7	ρref	ρref	ADJ
fis-2233	311	8	values	value	NOUN
fis-2233	311	9	obtained	obtain	VERB
fis-2233	311	10	in	in	ADP
fis-2233	311	11	numerical	numerical	ADJ
fis-2233	311	12	simulations	simulation	NOUN
fis-2233	311	13	.	.	PUNCT
fis-2233	312	1	this	this	DET
fis-2233	312	2	distribution	distribution	NOUN
fis-2233	312	3	holds	hold	VERB
fis-2233	312	4	for	for	ADP
fis-2233	312	5	both	both	DET
fis-2233	312	6	materials	material	NOUN
fis-2233	312	7	,	,	PUNCT
fis-2233	312	8	being	be	AUX
fis-2233	312	9	ρref	ρref	VERB
fis-2233	312	10	only	only	ADV
fis-2233	312	11	a	a	DET
fis-2233	312	12	function	function	NOUN
fis-2233	312	13	of	of	ADP
fis-2233	312	14	the	the	DET
fis-2233	312	15	local	local	ADJ
fis-2233	312	16	stress	stress	NOUN
fis-2233	312	17	,	,	PUNCT
fis-2233	312	18	not	not	PART
fis-2233	312	19	of	of	ADP
fis-2233	312	20	material	material	NOUN
fis-2233	312	21	.	.	PUNCT
fis-2233	313	1	the	the	DET
fis-2233	313	2	figure	figure	NOUN
fis-2233	313	3	also	also	ADV
fis-2233	313	4	marks	mark	VERB
fis-2233	313	5	the	the	DET
fis-2233	313	6	values	value	NOUN
fis-2233	313	7	at	at	ADP
fis-2233	313	8	which	which	PRON
fis-2233	313	9	the	the	DET
fis-2233	313	10	multiaxial	multiaxial	ADJ
fis-2233	313	11	stress	stress	NOUN
fis-2233	313	12	is	be	AUX
fis-2233	313	13	close	close	ADJ
fis-2233	313	14	to	to	ADP
fis-2233	313	15	uniaxial	uniaxial	ADJ
fis-2233	313	16	tension	tension	NOUN
fis-2233	313	17	or	or	CCONJ
fis-2233	313	18	torsion	torsion	NOUN
fis-2233	313	19	,	,	PUNCT
fis-2233	313	20	and	and	CCONJ
fis-2233	313	21	the	the	DET
fis-2233	313	22	regions	region	NOUN
fis-2233	313	23	a	a	DET
fis-2233	313	24	,	,	PUNCT
fis-2233	313	25	b	b	NOUN
fis-2233	313	26	,	,	PUNCT
fis-2233	313	27	c	c	NOUN
fis-2233	313	28	,	,	PUNCT
fis-2233	313	29	d	d	PROPN
fis-2233	313	30	identified	identify	VERB
fis-2233	313	31	in	in	ADP
fis-2233	313	32	fig	fig	NOUN
fis-2233	313	33	.	.	PUNCT
fis-2233	314	1	8(a	8(a	NUM
fis-2233	314	2	)	)	PUNCT
fis-2233	314	3	(	(	PUNCT
fis-2233	314	4	top	top	NOUN
fis-2233	314	5	)	)	PUNCT
fis-2233	314	6	.	.	PUNCT
fis-2233	315	1	the	the	DET
fis-2233	315	2	values	value	NOUN
fis-2233	315	3	of	of	ADP
fis-2233	315	4	ρref	ρref	NOUN
fis-2233	315	5	then	then	ADV
fis-2233	315	6	measure	measure	NOUN
fis-2233	315	7	if	if	SCONJ
fis-2233	315	8	the	the	DET
fis-2233	315	9	stress	stress	NOUN
fis-2233	315	10	in	in	ADP
fis-2233	315	11	a	a	DET
fis-2233	315	12	point	point	NOUN
fis-2233	315	13	is	be	AUX
fis-2233	315	14	more	more	ADJ
fis-2233	315	15	tension	tension	NOUN
fis-2233	315	16	-	-	PUNCT
fis-2233	315	17	like	like	ADJ
fis-2233	315	18	or	or	CCONJ
fis-2233	315	19	torsion	torsion	NOUN
fis-2233	315	20	-	-	PUNCT
fis-2233	315	21	like	like	ADJ
fis-2233	315	22	.	.	PUNCT
fis-2233	316	1	the	the	DET
fis-2233	316	2	capability	capability	NOUN
fis-2233	316	3	of	of	ADP
fis-2233	316	4	the	the	DET
fis-2233	316	5	pbp	pbp	NOUN
fis-2233	316	6	criterion	criterion	NOUN
fis-2233	316	7	to	to	PART
fis-2233	316	8	capture	capture	VERB
fis-2233	316	9	the	the	DET
fis-2233	316	10	material	material	NOUN
fis-2233	316	11	sensitivity	sensitivity	NOUN
fis-2233	316	12	to	to	ADP
fis-2233	316	13	the	the	DET
fis-2233	316	14	local	local	ADJ
fis-2233	316	15	stress	stress	NOUN
fis-2233	316	16	state	state	NOUN
fis-2233	316	17	is	be	AUX
fis-2233	316	18	well	well	ADV
fis-2233	316	19	summarized	summarize	VERB
fis-2233	316	20	by	by	ADP
fis-2233	316	21	the	the	DET
fis-2233	316	22	graph	graph	NOUN
fis-2233	316	23	in	in	ADP
fis-2233	316	24	fig	fig	NOUN
fis-2233	316	25	.	.	PUNCT
fis-2233	317	1	9(b	9(b	NUM
fis-2233	317	2	)	)	PUNCT
fis-2233	317	3	,	,	PUNCT
fis-2233	317	4	which	which	PRON
fis-2233	317	5	plots	plot	VERB
fis-2233	317	6	the	the	DET
fis-2233	317	7	values	value	NOUN
fis-2233	317	8	of	of	ADP
fis-2233	317	9	the	the	DET
fis-2233	317	10	damage	damage	NOUN
fis-2233	317	11	ratio	ratio	NOUN
fis-2233	317	12	dmat2	dmat2	NOUN
fis-2233	317	13	/	/	SYM
fis-2233	317	14	dmat1	dmat1	NOUN
fis-2233	317	15	vs.	vs.	ADP
fis-2233	317	16	ρref	ρref	NOUN
fis-2233	317	17	for	for	ADP
fis-2233	317	18	each	each	DET
fis-2233	317	19	node	node	NOUN
fis-2233	317	20	of	of	ADP
fis-2233	317	21	the	the	DET
fis-2233	317	22	fe	fe	PROPN
fis-2233	317	23	model	model	NOUN
fis-2233	317	24	.	.	PUNCT
fis-2233	318	1	if	if	SCONJ
fis-2233	318	2	the	the	DET
fis-2233	318	3	pbp	pbp	NOUN
fis-2233	318	4	were	be	AUX
fis-2233	318	5	not	not	PART
fis-2233	318	6	sensitive	sensitive	ADJ
fis-2233	318	7	to	to	ADP
fis-2233	318	8	the	the	DET
fis-2233	318	9	material	material	NOUN
fis-2233	318	10	which	which	PRON
fis-2233	318	11	the	the	DET
fis-2233	318	12	structure	structure	NOUN
fis-2233	318	13	is	be	AUX
fis-2233	318	14	made	make	VERB
fis-2233	318	15	of	of	ADP
fis-2233	318	16	,	,	PUNCT
fis-2233	318	17	the	the	DET
fis-2233	318	18	fe	fe	NOUN
fis-2233	318	19	analysis	analysis	NOUN
fis-2233	318	20	would	would	AUX
fis-2233	318	21	return	return	VERB
fis-2233	318	22	the	the	DET
fis-2233	318	23	same	same	ADJ
fis-2233	318	24	damage	damage	NOUN
fis-2233	318	25	value	value	NOUN
fis-2233	318	26	in	in	ADP
fis-2233	318	27	every	every	DET
fis-2233	318	28	node	node	NOUN
fis-2233	318	29	regardless	regardless	ADV
fis-2233	318	30	of	of	ADP
fis-2233	318	31	the	the	DET
fis-2233	318	32	material	material	NOUN
fis-2233	318	33	type	type	NOUN
fis-2233	318	34	,	,	PUNCT
fis-2233	318	35	and	and	CCONJ
fis-2233	318	36	in	in	ADP
fis-2233	318	37	turn	turn	NOUN
fis-2233	318	38	all	all	DET
fis-2233	318	39	the	the	DET
fis-2233	318	40	dots	dot	NOUN
fis-2233	318	41	in	in	ADP
fis-2233	318	42	fig	fig	NOUN
fis-2233	318	43	.	.	PUNCT
fis-2233	319	1	9(b	9(b	NUM
fis-2233	319	2	)	)	PUNCT
fis-2233	319	3	would	would	AUX
fis-2233	319	4	lie	lie	VERB
fis-2233	319	5	on	on	ADP
fis-2233	319	6	the	the	DET
fis-2233	319	7	dashed	dash	VERB
fis-2233	319	8	horizontal	horizontal	ADJ
fis-2233	319	9	line	line	NOUN
fis-2233	319	10	.	.	PUNCT
fis-2233	320	1	0	0	NUM
fis-2233	320	2	50	50	NUM
fis-2233	320	3	100	100	NUM
fis-2233	320	4	150	150	NUM
fis-2233	320	5	200	200	NUM
fis-2233	320	6	10	10	NUM
fis-2233	320	7	-4	-4	SYM
fis-2233	320	8	10	10	NUM
fis-2233	320	9	-2	-2	NOUN
fis-2233	320	10	10	10	NUM
fis-2233	320	11	0	0	NUM
fis-2233	320	12	10	10	NUM
fis-2233	320	13	2	2	NUM
fis-2233	320	14	10	10	NUM
fis-2233	320	15	4	4	NUM
fis-2233	320	16	auto	auto	NOUN
fis-2233	320	17	-	-	PUNCT
fis-2233	320	18	psds	psds	NOUN
fis-2233	320	19	frequency	frequency	NOUN
fis-2233	320	20	,	,	PUNCT
fis-2233	320	21	f	f	PROPN
fis-2233	321	1	[	[	X
fis-2233	321	2	hz	hz	X
fis-2233	321	3	]	]	X
fis-2233	321	4	st	st	PROPN
fis-2233	322	1	re	re	AUX
fis-2233	322	2	ss	ss	PROPN
fis-2233	322	3	p	p	NOUN
fis-2233	322	4	s	s	PROPN
fis-2233	322	5	d	d	X
fis-2233	322	6	[	[	PUNCT
fis-2233	322	7	(	(	PUNCT
fis-2233	322	8	p	p	PROPN
fis-2233	322	9	a2	a2	PROPN
fis-2233	322	10	)	)	PUNCT
fis-2233	322	11	/	/	SYM
fis-2233	323	1	h	h	NOUN
fis-2233	324	1	z	z	X
fis-2233	324	2	]	]	X
fis-2233	324	3	g	g	NOUN
fis-2233	324	4	xx	xx	NUM
fis-2233	324	5	g	g	PROPN
fis-2233	324	6	yy	yy	INTJ
fis-2233	324	7	g	g	PROPN
fis-2233	324	8	xy	xy	PROPN
fis-2233	324	9	0	0	NUM
fis-2233	324	10	50	50	NUM
fis-2233	324	11	100	100	NUM
fis-2233	324	12	150	150	NUM
fis-2233	324	13	200	200	NUM
fis-2233	324	14	10	10	NUM
fis-2233	324	15	-4	-4	SYM
fis-2233	324	16	10	10	NUM
fis-2233	324	17	-2	-2	NOUN
fis-2233	324	18	10	10	NUM
fis-2233	324	19	0	0	NUM
fis-2233	324	20	10	10	NUM
fis-2233	324	21	2	2	NUM
fis-2233	324	22	10	10	NUM
fis-2233	324	23	4	4	NUM
fis-2233	324	24	cross	cross	ADJ
fis-2233	324	25	-	-	ADJ
fis-2233	324	26	psds	psds	ADJ
fis-2233	324	27	frequency	frequency	NOUN
fis-2233	324	28	,	,	PUNCT
fis-2233	324	29	f	f	PROPN
fis-2233	325	1	[	[	X
fis-2233	325	2	hz	hz	X
fis-2233	325	3	]	]	X
fis-2233	325	4	st	st	PROPN
fis-2233	326	1	re	re	AUX
fis-2233	326	2	ss	ss	PROPN
fis-2233	326	3	p	p	NOUN
fis-2233	326	4	s	s	PROPN
fis-2233	326	5	d	d	X
fis-2233	326	6	[	[	PUNCT
fis-2233	326	7	(	(	PUNCT
fis-2233	326	8	p	p	PROPN
fis-2233	326	9	a2	a2	PROPN
fis-2233	326	10	)	)	PUNCT
fis-2233	326	11	/	/	SYM
fis-2233	327	1	h	h	NOUN
fis-2233	328	1	z	z	X
fis-2233	328	2	]	]	X
fis-2233	328	3	re{g	re{g	PROPN
fis-2233	328	4	xx	xx	PROPN
fis-2233	328	5	,	,	PUNCT
fis-2233	328	6	yy	yy	PROPN
fis-2233	328	7	}	}	PUNCT
fis-2233	328	8	re{g	re{g	PROPN
fis-2233	328	9	xx	xx	PROPN
fis-2233	328	10	,	,	PUNCT
fis-2233	328	11	xy	xy	PROPN
fis-2233	328	12	}	}	PUNCT
fis-2233	328	13	re{g	re{g	PROPN
fis-2233	328	14	yy	yy	PROPN
fis-2233	328	15	,	,	PUNCT
fis-2233	328	16	xy	xy	PROPN
fis-2233	328	17	}	}	PUNCT
fis-2233	328	18	.10e‐15	.10e‐15	PUNCT
fis-2233	328	19	      	      	SPACE
fis-2233	328	20	.82e‐04	.82e‐04	PUNCT
fis-2233	328	21	      	      	SPACE
fis-2233	328	22	.16e‐03	.16e‐03	SYM
fis-2233	328	23	      	      	SPACE
fis-2233	328	24	.25e‐03	.25e‐03	PUNCT
fis-2233	328	25	      	      	SPACE
fis-2233	328	26	.33e‐03	.33e‐03	SYM
fis-2233	328	27	      	      	SPACE
fis-2233	328	28	.41e‐03	.41e‐03	PUNCT
fis-2233	328	29	      	      	SPACE
fis-2233	328	30	.49e‐03	.49e‐03	PRON
fis-2233	328	31	      	      	SPACE
fis-2233	328	32	.57e‐03	.57e‐03	NOUN
fis-2233	328	33	      	      	SPACE
fis-2233	328	34	.66e‐03	.66e‐03	NOUN
fis-2233	328	35	      	      	SPACE
fis-2233	328	36	.74e‐03	.74e‐03	PUNCT
fis-2233	328	37	      	      	SPACE
fis-2233	328	38	.82e‐03	.82e‐03	PUNCT
fis-2233	328	39	      	      	SPACE
fis-2233	328	40	.90e‐03	.90e‐03	PUNCT
fis-2233	328	41	      	      	SPACE
fis-2233	328	42	.98e‐03	.98e‐03	PUNCT
fis-2233	328	43	      	      	SPACE
fis-2233	328	44	.11e‐02	.11e‐02	SYM
fis-2233	328	45	      	      	SPACE
fis-2233	328	46	.11e‐02	.11e‐02	SYM
fis-2233	328	47	      	      	SPACE
fis-2233	328	48	.12e‐02	.12e‐02	SYM
fis-2233	328	49	      	      	SPACE
fis-2233	328	50	material	material	NOUN
fis-2233	328	51	 	 	SPACE
fis-2233	328	52	1	1	NUM
fis-2233	328	53	material	material	NOUN
fis-2233	328	54	 	 	SPACE
fis-2233	328	55	2	2	NUM
fis-2233	328	56	(	(	PUNCT
fis-2233	328	57	a	a	NOUN
fis-2233	328	58	)	)	PUNCT
fis-2233	328	59	(	(	PUNCT
fis-2233	328	60	b	b	NOUN
fis-2233	328	61	)	)	PUNCT
fis-2233	328	62	.41e‐16	.41e‐16	PUNCT
fis-2233	328	63	      	      	SPACE
fis-2233	328	64	.18e‐04	.18e‐04	SYM
fis-2233	328	65	      	      	SPACE
fis-2233	328	66	.36e‐04	.36e‐04	PUNCT
fis-2233	328	67	      	      	SPACE
fis-2233	328	68	.54e‐04	.54e‐04	PUNCT
fis-2233	328	69	      	      	SPACE
fis-2233	328	70	.72e‐04	.72e‐04	PUNCT
fis-2233	328	71	      	      	SPACE
fis-2233	328	72	.90e‐04	.90e‐04	PUNCT
fis-2233	328	73	      	      	SPACE
fis-2233	328	74	.11e‐03	.11e‐03	PUNCT
fis-2233	328	75	      	      	SPACE
fis-2233	328	76	.13e‐03	.13e‐03	PUNCT
fis-2233	328	77	      	      	SPACE
fis-2233	328	78	.14e‐03	.14e‐03	PUNCT
fis-2233	328	79	      	      	SPACE
fis-2233	328	80	.16e‐03	.16e‐03	SYM
fis-2233	328	81	      	      	SPACE
fis-2233	328	82	.18e‐03	.18e‐03	PUNCT
fis-2233	328	83	      	      	SPACE
fis-2233	328	84	.20e‐03	.20e‐03	PUNCT
fis-2233	328	85	      	      	SPACE
fis-2233	328	86	.22e‐03	.22e‐03	PUNCT
fis-2233	328	87	      	      	SPACE
fis-2233	328	88	.23e‐03	.23e‐03	NOUN
fis-2233	328	89	      	      	SPACE
fis-2233	328	90	.25e‐03	.25e‐03	NOUN
fis-2233	328	91	      	      	SPACE
fis-2233	328	92	.27e‐03	.27e‐03	NOUN
fis-2233	328	93	      	      	SPACE
fis-2233	328	94	‐16.38	‐16.38	ADP
fis-2233	328	95	       	       	SPACE
fis-2233	328	96	‐15.53	‐15.53	NOUN
fis-2233	328	97	       	       	SPACE
fis-2233	328	98	‐14.68	‐14.68	NOUN
fis-2233	328	99	       	       	SPACE
fis-2233	328	100	‐13.82	‐13.82	NOUN
fis-2233	328	101	       	       	SPACE
fis-2233	328	102	‐12.97	‐12.97	NOUN
fis-2233	328	103	       	       	SPACE
fis-2233	328	104	‐12.11	‐12.11	NOUN
fis-2233	328	105	       	       	SPACE
fis-2233	328	106	‐11.26	‐11.26	NOUN
fis-2233	328	107	       	       	SPACE
fis-2233	328	108	‐10.4	‐10.4	NOUN
fis-2233	328	109	        	        	SPACE
fis-2233	328	110	‐9.55	‐9.55	NOUN
fis-2233	328	111	        	        	SPACE
fis-2233	328	112	‐8.7	‐8.7	NOUN
fis-2233	328	113	         	         	SPACE
fis-2233	328	114	‐7.84	‐7.84	ADV
fis-2233	328	115	        	        	SPACE
fis-2233	328	116	‐6.99	‐6.99	PROPN
fis-2233	328	117	        	        	SPACE
fis-2233	328	118	‐6.13	‐6.13	NOUN
fis-2233	328	119	        	        	SPACE
fis-2233	328	120	‐5.28	‐5.28	ADV
fis-2233	328	121	        	        	SPACE
fis-2233	328	122	‐4.42	‐4.42	NOUN
fis-2233	328	123	        	        	SPACE
fis-2233	328	124	‐3.57	‐3.57	NOUN
fis-2233	328	125	        	        	SPACE
fis-2233	328	126	‐15.99	‐15.99	NOUN
fis-2233	328	127	      	      	SPACE
fis-2233	328	128	‐15.12	‐15.12	NOUN
fis-2233	328	129	      	      	SPACE
fis-2233	328	130	‐14.25	‐14.25	PROPN
fis-2233	328	131	      	      	SPACE
fis-2233	328	132	‐13.38	‐13.38	NOUN
fis-2233	328	133	      	      	SPACE
fis-2233	328	134	‐12.51	‐12.51	PRON
fis-2233	328	135	      	      	SPACE
fis-2233	328	136	‐11.63	‐11.63	NOUN
fis-2233	328	137	      	      	SPACE
fis-2233	328	138	‐10.76	‐10.76	PROPN
fis-2233	328	139	      	      	SPACE
fis-2233	328	140	‐9.89	‐9.89	NOUN
fis-2233	328	141	        	        	SPACE
fis-2233	328	142	‐9.02	‐9.02	NOUN
fis-2233	328	143	        	        	SPACE
fis-2233	328	144	‐8.14	‐8.14	NOUN
fis-2233	328	145	        	        	SPACE
fis-2233	328	146	‐7.27	‐7.27	NOUN
fis-2233	328	147	        	        	SPACE
fis-2233	328	148	‐6.4	‐6.4	NOUN
fis-2233	328	149	         	         	SPACE
fis-2233	328	150	‐5.53	‐5.53	NOUN
fis-2233	328	151	        	        	SPACE
fis-2233	328	152	‐4.65	‐4.65	NUM
fis-2233	328	153	        	        	SPACE
fis-2233	328	154	‐3.78	‐3.78	PROPN
fis-2233	328	155	        	        	SPACE
fis-2233	328	156	‐2.91	‐2.91	PROPN
fis-2233	328	157	        	        	SPACE
fis-2233	328	158	a	a	DET
fis-2233	328	159	c	c	PROPN
fis-2233	328	160	b	b	PROPN
fis-2233	328	161	d	d	X
fis-2233	328	162	d.	d.	PROPN
fis-2233	328	163	benasciutti	benasciutti	PROPN
fis-2233	328	164	et	et	PROPN
fis-2233	328	165	alii	alii	PROPN
fis-2233	328	166	,	,	PUNCT
fis-2233	328	167	frattura	frattura	PROPN
fis-2233	328	168	ed	ed	PROPN
fis-2233	328	169	integrità	integrità	PROPN
fis-2233	328	170	strutturale	strutturale	PROPN
fis-2233	328	171	,	,	PUNCT
fis-2233	328	172	47	47	NUM
fis-2233	328	173	(	(	PUNCT
fis-2233	328	174	2019	2019	NUM
fis-2233	328	175	)	)	PUNCT
fis-2233	328	176	348	348	NUM
fis-2233	328	177	-	-	SYM
fis-2233	328	178	366	366	NUM
fis-2233	328	179	;	;	PUNCT
fis-2233	328	180	doi	doi	NOUN
fis-2233	328	181	:	:	PUNCT
fis-2233	328	182	10.3221	10.3221	NUM
fis-2233	328	183	/	/	SYM
fis-2233	328	184	igf	igf	PROPN
fis-2233	328	185	-	-	ADJ
fis-2233	328	186	esis.47.26	esis.47.26	ADJ
fis-2233	328	187	361	361	NUM
fis-2233	328	188	(	(	PUNCT
fis-2233	328	189	a	a	NOUN
fis-2233	328	190	)	)	PUNCT
fis-2233	328	191	(	(	PUNCT
fis-2233	328	192	b	b	X
fis-2233	328	193	)	)	PUNCT
fis-2233	328	194	figure	figure	NOUN
fis-2233	328	195	9	9	NUM
fis-2233	328	196	:	:	PUNCT
fis-2233	328	197	(	(	PUNCT
fis-2233	328	198	a	a	X
fis-2233	328	199	)	)	PUNCT
fis-2233	328	200	distribution	distribution	NOUN
fis-2233	328	201	of	of	ADP
fis-2233	328	202	ρref	ρref	ADJ
fis-2233	328	203	values	value	NOUN
fis-2233	328	204	in	in	ADP
fis-2233	328	205	fe	fe	NOUN
fis-2233	328	206	nodes	node	NOUN
fis-2233	328	207	;	;	PUNCT
fis-2233	328	208	(	(	PUNCT
fis-2233	328	209	b	b	X
fis-2233	328	210	)	)	PUNCT
fis-2233	328	211	damage	damage	NOUN
fis-2233	328	212	ratio	ratio	NOUN
fis-2233	328	213	dmat2	dmat2	NOUN
fis-2233	328	214	/	/	SYM
fis-2233	328	215	dmat1	dmat1	NOUN
fis-2233	328	216	vs.	vs.	ADP
fis-2233	328	217	ρref	ρref	NOUN
fis-2233	328	218	values	value	NOUN
fis-2233	328	219	(	(	PUNCT
fis-2233	328	220	each	each	DET
fis-2233	328	221	point	point	NOUN
fis-2233	328	222	refers	refer	VERB
fis-2233	328	223	to	to	ADP
fis-2233	328	224	one	one	NUM
fis-2233	328	225	nodal	nodal	NOUN
fis-2233	328	226	result	result	NOUN
fis-2233	328	227	)	)	PUNCT
fis-2233	328	228	.	.	PUNCT
fis-2233	329	1	likewise	likewise	ADV
fis-2233	329	2	,	,	PUNCT
fis-2233	329	3	the	the	DET
fis-2233	329	4	trend	trend	NOUN
fis-2233	329	5	in	in	ADP
fis-2233	329	6	fig	fig	NOUN
fis-2233	329	7	.	.	PUNCT
fis-2233	330	1	9(b	9(b	NUM
fis-2233	330	2	)	)	PUNCT
fis-2233	330	3	remarks	remark	VERB
fis-2233	330	4	how	how	SCONJ
fis-2233	330	5	much	much	ADV
fis-2233	330	6	the	the	DET
fis-2233	330	7	fatigue	fatigue	NOUN
fis-2233	330	8	damage	damage	NOUN
fis-2233	330	9	(	(	PUNCT
fis-2233	330	10	via	via	ADP
fis-2233	330	11	pbp	pbp	NOUN
fis-2233	330	12	criterion	criterion	NOUN
fis-2233	330	13	)	)	PUNCT
fis-2233	330	14	is	be	AUX
fis-2233	330	15	influenced	influence	VERB
fis-2233	330	16	by	by	ADP
fis-2233	330	17	the	the	DET
fis-2233	330	18	hydrostatic	hydrostatic	ADJ
fis-2233	330	19	stress	stress	NOUN
fis-2233	330	20	via	via	ADP
fis-2233	330	21	ρref	ρref	ADJ
fis-2233	330	22	values	value	NOUN
fis-2233	330	23	.	.	PUNCT
fis-2233	331	1	being	be	AUX
fis-2233	331	2	dependent	dependent	ADJ
fis-2233	331	3	on	on	ADP
fis-2233	331	4	hydrostatic	hydrostatic	ADJ
fis-2233	331	5	stress	stress	NOUN
fis-2233	331	6	,	,	PUNCT
fis-2233	331	7	material	material	NOUN
fis-2233	331	8	2	2	NUM
fis-2233	331	9	is	be	AUX
fis-2233	331	10	characterized	characterize	VERB
fis-2233	331	11	by	by	ADP
fis-2233	331	12	damage	damage	NOUN
fis-2233	331	13	values	value	NOUN
fis-2233	331	14	that	that	PRON
fis-2233	331	15	depend	depend	VERB
fis-2233	331	16	upon	upon	SCONJ
fis-2233	331	17	ρref	ρref	NOUN
fis-2233	331	18	more	more	ADV
fis-2233	331	19	clearly	clearly	ADV
fis-2233	331	20	and	and	CCONJ
fis-2233	331	21	that	that	PRON
fis-2233	331	22	differ	differ	VERB
fis-2233	331	23	by	by	ADP
fis-2233	331	24	up	up	ADP
fis-2233	331	25	to	to	ADP
fis-2233	331	26	an	an	DET
fis-2233	331	27	order	order	NOUN
fis-2233	331	28	of	of	ADP
fis-2233	331	29	magnitude	magnitude	NOUN
fis-2233	331	30	from	from	ADP
fis-2233	331	31	those	those	PRON
fis-2233	331	32	characterizing	characterize	VERB
fis-2233	331	33	material	material	NOUN
fis-2233	331	34	1	1	NUM
fis-2233	331	35	.	.	PUNCT
fis-2233	332	1	though	though	SCONJ
fis-2233	332	2	simple	simple	ADJ
fis-2233	332	3	,	,	PUNCT
fis-2233	332	4	the	the	DET
fis-2233	332	5	numerical	numerical	ADJ
fis-2233	332	6	example	example	NOUN
fis-2233	332	7	discussed	discuss	VERB
fis-2233	332	8	so	so	ADV
fis-2233	332	9	far	far	ADV
fis-2233	332	10	shows	show	NOUN
fis-2233	332	11	,	,	PUNCT
fis-2233	332	12	in	in	ADP
fis-2233	332	13	fact	fact	NOUN
fis-2233	332	14	,	,	PUNCT
fis-2233	332	15	the	the	DET
fis-2233	332	16	ability	ability	NOUN
fis-2233	332	17	of	of	ADP
fis-2233	332	18	the	the	DET
fis-2233	332	19	pbp	pbp	NOUN
fis-2233	332	20	method	method	NOUN
fis-2233	332	21	to	to	PART
fis-2233	332	22	capture	capture	VERB
fis-2233	332	23	the	the	DET
fis-2233	332	24	material	material	NOUN
fis-2233	332	25	sensitivity	sensitivity	NOUN
fis-2233	332	26	to	to	ADP
fis-2233	332	27	the	the	DET
fis-2233	332	28	local	local	ADJ
fis-2233	332	29	multiaxial	multiaxial	ADJ
fis-2233	332	30	stress	stress	NOUN
fis-2233	332	31	in	in	ADP
fis-2233	332	32	a	a	DET
fis-2233	332	33	structure	structure	NOUN
fis-2233	332	34	.	.	PUNCT
fis-2233	333	1	this	this	DET
fis-2233	333	2	result	result	NOUN
fis-2233	333	3	is	be	AUX
fis-2233	333	4	of	of	ADP
fis-2233	333	5	great	great	ADJ
fis-2233	333	6	relevance	relevance	NOUN
fis-2233	333	7	in	in	ADP
fis-2233	333	8	engineering	engineering	NOUN
fis-2233	333	9	applications	application	NOUN
fis-2233	333	10	,	,	PUNCT
fis-2233	333	11	especially	especially	ADV
fis-2233	333	12	at	at	ADP
fis-2233	333	13	early	early	ADJ
fis-2233	333	14	design	design	NOUN
fis-2233	333	15	phases	phase	NOUN
fis-2233	333	16	,	,	PUNCT
fis-2233	333	17	when	when	SCONJ
fis-2233	333	18	it	it	PRON
fis-2233	333	19	is	be	AUX
fis-2233	333	20	desirable	desirable	ADJ
fis-2233	333	21	to	to	PART
fis-2233	333	22	compare	compare	VERB
fis-2233	333	23	the	the	DET
fis-2233	333	24	performance	performance	NOUN
fis-2233	333	25	of	of	ADP
fis-2233	333	26	different	different	ADJ
fis-2233	333	27	materials	material	NOUN
fis-2233	333	28	for	for	ADP
fis-2233	333	29	the	the	DET
fis-2233	333	30	same	same	ADJ
fis-2233	333	31	component	component	NOUN
fis-2233	333	32	or	or	CCONJ
fis-2233	333	33	,	,	PUNCT
fis-2233	333	34	by	by	ADP
fis-2233	333	35	contrast	contrast	NOUN
fis-2233	333	36	,	,	PUNCT
fis-2233	333	37	it	it	PRON
fis-2233	333	38	is	be	AUX
fis-2233	333	39	required	require	VERB
fis-2233	333	40	to	to	PART
fis-2233	333	41	identify	identify	VERB
fis-2233	333	42	a	a	DET
fis-2233	333	43	material	material	NOUN
fis-2233	333	44	whose	whose	DET
fis-2233	333	45	fatigue	fatigue	NOUN
fis-2233	333	46	properties	property	NOUN
fis-2233	333	47	are	be	AUX
fis-2233	333	48	the	the	DET
fis-2233	333	49	most	most	ADV
fis-2233	333	50	suitable	suitable	ADJ
fis-2233	333	51	for	for	ADP
fis-2233	333	52	a	a	DET
fis-2233	333	53	given	give	VERB
fis-2233	333	54	component	component	NOUN
fis-2233	333	55	subjected	subject	VERB
fis-2233	333	56	to	to	ADP
fis-2233	333	57	a	a	DET
fis-2233	333	58	known	know	VERB
fis-2233	333	59	vibration	vibration	NOUN
fis-2233	333	60	input	input	NOUN
fis-2233	333	61	.	.	PUNCT
fis-2233	334	1	concluding	conclude	VERB
fis-2233	334	2	remarks	remark	NOUN
fis-2233	334	3	he	he	PRON
fis-2233	334	4	writing	write	VERB
fis-2233	334	5	of	of	ADP
fis-2233	334	6	this	this	DET
fis-2233	334	7	article	article	NOUN
fis-2233	334	8	was	be	AUX
fis-2233	334	9	primarily	primarily	ADV
fis-2233	334	10	motivated	motivate	VERB
fis-2233	334	11	by	by	ADP
fis-2233	334	12	the	the	DET
fis-2233	334	13	aim	aim	NOUN
fis-2233	334	14	to	to	PART
fis-2233	334	15	provide	provide	VERB
fis-2233	334	16	engineers	engineer	NOUN
fis-2233	334	17	engaged	engage	VERB
fis-2233	334	18	in	in	ADP
fis-2233	334	19	vibration	vibration	NOUN
fis-2233	334	20	fatigue	fatigue	NOUN
fis-2233	334	21	with	with	ADP
fis-2233	334	22	a	a	DET
fis-2233	334	23	practical	practical	ADJ
fis-2233	334	24	guide	guide	NOUN
fis-2233	334	25	to	to	PART
fis-2233	334	26	apply	apply	VERB
fis-2233	334	27	the	the	DET
fis-2233	334	28	pbp	pbp	NOUN
fis-2233	334	29	spectral	spectral	ADJ
fis-2233	334	30	method	method	NOUN
fis-2233	334	31	.	.	PUNCT
fis-2233	335	1	after	after	ADP
fis-2233	335	2	a	a	DET
fis-2233	335	3	summary	summary	NOUN
fis-2233	335	4	of	of	ADP
fis-2233	335	5	the	the	DET
fis-2233	335	6	main	main	ADJ
fis-2233	335	7	analysis	analysis	NOUN
fis-2233	335	8	steps	step	NOUN
fis-2233	335	9	of	of	ADP
fis-2233	335	10	the	the	DET
fis-2233	335	11	pbp	pbp	NOUN
fis-2233	335	12	criterion	criterion	NOUN
fis-2233	335	13	,	,	PUNCT
fis-2233	335	14	the	the	DET
fis-2233	335	15	article	article	NOUN
fis-2233	335	16	applied	apply	VERB
fis-2233	335	17	the	the	DET
fis-2233	335	18	criterion	criterion	NOUN
fis-2233	335	19	to	to	ADP
fis-2233	335	20	some	some	DET
fis-2233	335	21	simple	simple	ADJ
fis-2233	335	22	numerical	numerical	ADJ
fis-2233	335	23	case	case	NOUN
fis-2233	335	24	studies	study	NOUN
fis-2233	335	25	,	,	PUNCT
fis-2233	335	26	in	in	ADP
fis-2233	335	27	which	which	PRON
fis-2233	335	28	three	three	NUM
fis-2233	335	29	material	material	ADJ
fis-2233	335	30	types	type	NOUN
fis-2233	335	31	are	be	AUX
fis-2233	335	32	subjected	subject	VERB
fis-2233	335	33	to	to	ADP
fis-2233	335	34	four	four	NUM
fis-2233	335	35	different	different	ADJ
fis-2233	335	36	types	type	NOUN
fis-2233	335	37	of	of	ADP
fis-2233	335	38	biaxial	biaxial	ADJ
fis-2233	335	39	random	random	ADJ
fis-2233	335	40	stress	stress	NOUN
fis-2233	335	41	(	(	PUNCT
fis-2233	335	42	e.g.	e.g.	ADV
fis-2233	335	43	tension	tension	NOUN
fis-2233	335	44	-	-	PUNCT
fis-2233	335	45	tension	tension	NOUN
fis-2233	335	46	,	,	PUNCT
fis-2233	335	47	tension	tension	NOUN
fis-2233	335	48	-	-	PUNCT
fis-2233	335	49	torsion	torsion	NOUN
fis-2233	335	50	,	,	PUNCT
fis-2233	335	51	“	"	PUNCT
fis-2233	335	52	in	in	ADP
fis-2233	335	53	-	-	PUNCT
fis-2233	335	54	phase	phase	NOUN
fis-2233	335	55	”	"	PUNCT
fis-2233	335	56	or	or	CCONJ
fis-2233	335	57	“	"	PUNCT
fis-2233	335	58	out	out	ADP
fis-2233	335	59	-	-	PUNCT
fis-2233	335	60	of	of	ADP
fis-2233	335	61	-	-	PUNCT
fis-2233	335	62	phase	phase	NOUN
fis-2233	335	63	”	"	PUNCT
fis-2233	335	64	)	)	PUNCT
fis-2233	335	65	.	.	PUNCT
fis-2233	336	1	a	a	DET
fis-2233	336	2	simple	simple	ADJ
fis-2233	336	3	rectangular	rectangular	ADJ
fis-2233	336	4	psd	psd	NOUN
fis-2233	336	5	for	for	ADP
fis-2233	336	6	the	the	DET
fis-2233	336	7	stress	stress	NOUN
fis-2233	336	8	is	be	AUX
fis-2233	336	9	considered	consider	VERB
fis-2233	336	10	to	to	PART
fis-2233	336	11	allow	allow	VERB
fis-2233	336	12	a	a	DET
fis-2233	336	13	much	much	ADV
fis-2233	336	14	easier	easy	ADJ
fis-2233	336	15	understanding	understanding	NOUN
fis-2233	336	16	and	and	CCONJ
fis-2233	336	17	interpretation	interpretation	NOUN
fis-2233	336	18	of	of	ADP
fis-2233	336	19	the	the	DET
fis-2233	336	20	obtained	obtain	VERB
fis-2233	336	21	results	result	NOUN
fis-2233	336	22	.	.	PUNCT
fis-2233	337	1	the	the	DET
fis-2233	337	2	results	result	NOUN
fis-2233	337	3	of	of	ADP
fis-2233	337	4	each	each	DET
fis-2233	337	5	analysis	analysis	NOUN
fis-2233	337	6	step	step	NOUN
fis-2233	337	7	were	be	AUX
fis-2233	337	8	listed	list	VERB
fis-2233	337	9	in	in	ADP
fis-2233	337	10	detail	detail	NOUN
fis-2233	337	11	to	to	PART
fis-2233	337	12	serve	serve	VERB
fis-2233	337	13	as	as	ADP
fis-2233	337	14	a	a	DET
fis-2233	337	15	benchmark	benchmark	NOUN
fis-2233	337	16	for	for	ADP
fis-2233	337	17	users	user	NOUN
fis-2233	337	18	interested	interested	ADJ
fis-2233	337	19	in	in	ADP
fis-2233	337	20	implementing	implement	VERB
fis-2233	337	21	the	the	DET
fis-2233	337	22	pbp	pbp	NOUN
fis-2233	337	23	method	method	NOUN
fis-2233	337	24	by	by	ADP
fis-2233	337	25	their	their	PRON
fis-2233	337	26	own	own	ADJ
fis-2233	337	27	.	.	PUNCT
fis-2233	338	1	results	result	NOUN
fis-2233	338	2	are	be	AUX
fis-2233	338	3	also	also	ADV
fis-2233	338	4	used	use	VERB
fis-2233	338	5	to	to	PART
fis-2233	338	6	highlight	highlight	VERB
fis-2233	338	7	the	the	DET
fis-2233	338	8	main	main	ADJ
fis-2233	338	9	features	feature	NOUN
fis-2233	338	10	characterizing	characterize	VERB
fis-2233	338	11	the	the	DET
fis-2233	338	12	pbp	pbp	NOUN
fis-2233	338	13	criterion	criterion	NOUN
fis-2233	338	14	.	.	PUNCT
fis-2233	339	1	for	for	ADP
fis-2233	339	2	example	example	NOUN
fis-2233	339	3	,	,	PUNCT
fis-2233	339	4	the	the	DET
fis-2233	339	5	examples	example	NOUN
fis-2233	339	6	allow	allow	VERB
fis-2233	339	7	the	the	DET
fis-2233	339	8	role	role	NOUN
fis-2233	339	9	of	of	ADP
fis-2233	339	10	material	material	NOUN
fis-2233	339	11	sensitivity	sensitivity	NOUN
fis-2233	339	12	to	to	ADP
fis-2233	339	13	hydrostatic	hydrostatic	ADJ
fis-2233	339	14	and	and	CCONJ
fis-2233	339	15	deviatoric	deviatoric	ADJ
fis-2233	339	16	stress	stress	NOUN
fis-2233	339	17	to	to	PART
fis-2233	339	18	be	be	AUX
fis-2233	339	19	clearly	clearly	ADV
fis-2233	339	20	pointed	point	VERB
fis-2233	339	21	out	out	ADP
fis-2233	339	22	.	.	PUNCT
fis-2233	340	1	the	the	DET
fis-2233	340	2	case	case	NOUN
fis-2233	340	3	studies	study	NOUN
fis-2233	340	4	make	make	VERB
fis-2233	340	5	apparent	apparent	ADJ
fis-2233	340	6	the	the	DET
fis-2233	340	7	capability	capability	NOUN
fis-2233	340	8	of	of	ADP
fis-2233	340	9	the	the	DET
fis-2233	340	10	pbp	pbp	NOUN
fis-2233	340	11	method	method	NOUN
fis-2233	340	12	to	to	PART
fis-2233	340	13	take	take	VERB
fis-2233	340	14	into	into	ADP
fis-2233	340	15	account	account	NOUN
fis-2233	340	16	the	the	DET
fis-2233	340	17	correlation	correlation	NOUN
fis-2233	340	18	degree	degree	NOUN
fis-2233	340	19	between	between	ADP
fis-2233	340	20	stress	stress	NOUN
fis-2233	340	21	components	component	NOUN
fis-2233	340	22	,	,	PUNCT
fis-2233	340	23	as	as	ADV
fis-2233	340	24	well	well	ADV
fis-2233	340	25	as	as	ADP
fis-2233	340	26	the	the	DET
fis-2233	340	27	different	different	ADJ
fis-2233	340	28	material	material	NOUN
fis-2233	340	29	behavior	behavior	NOUN
fis-2233	340	30	as	as	ADP
fis-2233	340	31	a	a	DET
fis-2233	340	32	function	function	NOUN
fis-2233	340	33	of	of	ADP
fis-2233	340	34	the	the	DET
fis-2233	340	35	various	various	ADJ
fis-2233	340	36	states	state	NOUN
fis-2233	340	37	of	of	ADP
fis-2233	340	38	stress	stress	NOUN
fis-2233	340	39	.	.	PUNCT
fis-2233	341	1	the	the	DET
fis-2233	341	2	article	article	NOUN
fis-2233	341	3	concludes	conclude	VERB
fis-2233	341	4	by	by	ADP
fis-2233	341	5	an	an	DET
fis-2233	341	6	example	example	NOUN
fis-2233	341	7	in	in	ADP
fis-2233	341	8	which	which	PRON
fis-2233	341	9	the	the	DET
fis-2233	341	10	pbp	pbp	NOUN
fis-2233	341	11	method	method	NOUN
fis-2233	341	12	is	be	AUX
fis-2233	341	13	applied	apply	VERB
fis-2233	341	14	to	to	ADP
fis-2233	341	15	the	the	DET
fis-2233	341	16	fe	fe	NOUN
fis-2233	341	17	-	-	PUNCT
fis-2233	341	18	based	base	VERB
fis-2233	341	19	fatigue	fatigue	NOUN
fis-2233	341	20	analysis	analysis	NOUN
fis-2233	341	21	of	of	ADP
fis-2233	341	22	a	a	DET
fis-2233	341	23	thin	thin	ADJ
fis-2233	341	24	structure	structure	NOUN
fis-2233	341	25	submitted	submit	VERB
fis-2233	341	26	to	to	ADP
fis-2233	341	27	a	a	DET
fis-2233	341	28	random	random	ADJ
fis-2233	341	29	acceleration	acceleration	NOUN
fis-2233	341	30	.	.	PUNCT
fis-2233	342	1	this	this	DET
fis-2233	342	2	example	example	NOUN
fis-2233	342	3	shows	show	VERB
fis-2233	342	4	the	the	DET
fis-2233	342	5	advantage	advantage	NOUN
fis-2233	342	6	of	of	ADP
fis-2233	342	7	the	the	DET
fis-2233	342	8	pbp	pbp	NOUN
fis-2233	342	9	method	method	NOUN
fis-2233	342	10	in	in	ADP
fis-2233	342	11	cae	cae	NOUN
fis-2233	342	12	-	-	PUNCT
fis-2233	342	13	based	base	VERB
fis-2233	342	14	design	design	NOUN
fis-2233	342	15	of	of	ADP
fis-2233	342	16	structural	structural	ADJ
fis-2233	342	17	components	component	NOUN
fis-2233	342	18	undergoing	undergo	VERB
fis-2233	342	19	multiaxial	multiaxial	ADJ
fis-2233	342	20	fatigue	fatigue	NOUN
fis-2233	342	21	loading	loading	NOUN
fis-2233	342	22	.	.	PUNCT
fis-2233	343	1	it	it	PRON
fis-2233	343	2	emphasizes	emphasize	VERB
fis-2233	343	3	,	,	PUNCT
fis-2233	343	4	in	in	ADP
fis-2233	343	5	particular	particular	ADJ
fis-2233	343	6	,	,	PUNCT
fis-2233	343	7	how	how	SCONJ
fis-2233	343	8	the	the	DET
fis-2233	343	9	method	method	NOUN
fis-2233	343	10	proves	prove	VERB
fis-2233	343	11	to	to	PART
fis-2233	343	12	be	be	AUX
fis-2233	343	13	an	an	DET
fis-2233	343	14	efficient	efficient	ADJ
fis-2233	343	15	tool	tool	NOUN
fis-2233	343	16	in	in	ADP
fis-2233	343	17	the	the	DET
fis-2233	343	18	design	design	NOUN
fis-2233	343	19	of	of	ADP
fis-2233	343	20	complex	complex	ADJ
fis-2233	343	21	structures	structure	NOUN
fis-2233	343	22	,	,	PUNCT
fis-2233	343	23	e.g.	e.g.	ADV
fis-2233	343	24	for	for	ADP
fis-2233	343	25	discriminating	discriminate	VERB
fis-2233	343	26	among	among	ADP
fis-2233	343	27	materials	material	NOUN
fis-2233	343	28	with	with	ADP
fis-2233	343	29	different	different	ADJ
fis-2233	343	30	fatigue	fatigue	NOUN
fis-2233	343	31	properties	property	NOUN
fis-2233	343	32	,	,	PUNCT
fis-2233	343	33	or	or	CCONJ
fis-2233	343	34	for	for	ADP
fis-2233	343	35	identifying	identify	VERB
fis-2233	343	36	the	the	DET
fis-2233	343	37	material	material	NOUN
fis-2233	343	38	with	with	ADP
fis-2233	343	39	the	the	DET
fis-2233	343	40	most	most	ADV
fis-2233	343	41	suitable	suitable	ADJ
fis-2233	343	42	properties	property	NOUN
fis-2233	343	43	.	.	PUNCT
fis-2233	344	1	references	reference	NOUN
fis-2233	344	2	[	[	X
fis-2233	344	3	1	1	NUM
fis-2233	344	4	]	]	PUNCT
fis-2233	344	5	cristofori	cristofori	NOUN
fis-2233	344	6	,	,	PUNCT
fis-2233	344	7	a.	a.	NOUN
fis-2233	344	8	(	(	PUNCT
fis-2233	344	9	2007	2007	NUM
fis-2233	344	10	)	)	PUNCT
fis-2233	344	11	.	.	PUNCT
fis-2233	345	1	a	a	DET
fis-2233	345	2	new	new	ADJ
fis-2233	345	3	perspective	perspective	NOUN
fis-2233	345	4	in	in	ADP
fis-2233	345	5	multiaxial	multiaxial	ADJ
fis-2233	345	6	fatigue	fatigue	NOUN
fis-2233	345	7	damage	damage	NOUN
fis-2233	345	8	estimation	estimation	NOUN
fis-2233	345	9	.	.	PUNCT
fis-2233	346	1	phd	phd	NOUN
fis-2233	346	2	thesis	thesis	PROPN
fis-2233	346	3	,	,	PUNCT
fis-2233	346	4	university	university	NOUN
fis-2233	346	5	of	of	ADP
fis-2233	346	6	ferrara	ferrara	NOUN
fis-2233	346	7	.	.	PUNCT
fis-2233	347	1	[	[	X
fis-2233	347	2	2	2	NUM
fis-2233	347	3	]	]	SYM
fis-2233	347	4	cristofori	cristofori	NOUN
fis-2233	347	5	,	,	PUNCT
fis-2233	347	6	a.	a.	NOUN
fis-2233	347	7	,	,	PUNCT
fis-2233	347	8	susmel	susmel	NOUN
fis-2233	347	9	,	,	PUNCT
fis-2233	347	10	l.	l.	PROPN
fis-2233	347	11	,	,	PUNCT
fis-2233	347	12	tovo	tovo	PROPN
fis-2233	347	13	,	,	PUNCT
fis-2233	347	14	r.	r.	PROPN
fis-2233	347	15	(	(	PUNCT
fis-2233	347	16	2008	2008	NUM
fis-2233	347	17	)	)	PUNCT
fis-2233	347	18	.	.	PUNCT
fis-2233	348	1	a	a	DET
fis-2233	348	2	stress	stress	NOUN
fis-2233	348	3	invariant	invariant	ADJ
fis-2233	348	4	based	base	VERB
fis-2233	348	5	criterion	criterion	NOUN
fis-2233	348	6	to	to	PART
fis-2233	348	7	estimate	estimate	VERB
fis-2233	348	8	fatigue	fatigue	NOUN
fis-2233	348	9	damage	damage	NOUN
fis-2233	348	10	under	under	ADP
fis-2233	348	11	multiaxial	multiaxial	ADJ
fis-2233	348	12	loading	loading	NOUN
fis-2233	348	13	,	,	PUNCT
fis-2233	348	14	int	int	NOUN
fis-2233	348	15	.	.	PUNCT
fis-2233	349	1	j.	j.	PROPN
fis-2233	349	2	fatigue	fatigue	PROPN
fis-2233	349	3	,	,	PUNCT
fis-2233	349	4	30(9	30(9	NUM
fis-2233	349	5	)	)	PUNCT
fis-2233	349	6	,	,	PUNCT
fis-2233	349	7	pp	pp	PROPN
fis-2233	349	8	.	.	PUNCT
fis-2233	350	1	1646–1658	1646–1658	NUM
fis-2233	350	2	.	.	PUNCT
fis-2233	351	1	doi	doi	NOUN
fis-2233	351	2	:	:	PUNCT
fis-2233	351	3	10.1016	10.1016	NUM
fis-2233	351	4	/	/	SYM
fis-2233	351	5	j.ijfatigue.2007.11.006	j.ijfatigue.2007.11.006	PROPN
fis-2233	351	6	0	0	NUM
fis-2233	351	7	0.5	0.5	NUM
fis-2233	351	8	1	1	NUM
fis-2233	351	9	1.5	1.5	NUM
fis-2233	351	10	0	0	NUM
fis-2233	351	11	50	50	NUM
fis-2233	351	12	100	100	NUM
fis-2233	351	13	150	150	NUM
fis-2233	351	14	200	200	NUM
fis-2233	351	15	250	250	NUM
fis-2233	351	16	300	300	NUM
fis-2233	351	17			NOUN
fis-2233	351	18	ref	ref	NOUN
fis-2233	351	19	n	n	PRON
fis-2233	351	20	o	o	NOUN
fis-2233	351	21	.	.	PUNCT
fis-2233	352	1	o	o	X
fis-2233	352	2	f	f	X
fis-2233	352	3	co	co	VERB
fis-2233	352	4	u	u	PROPN
fis-2233	352	5	n	n	X
fis-2233	352	6	te	te	PROPN
fis-2233	352	7	d	d	X
fis-2233	352	8	n	n	NOUN
fis-2233	352	9	o	o	X
fis-2233	352	10	d	d	X
fis-2233	352	11	e	e	NOUN
fis-2233	352	12	s	s	NOUN
fis-2233	352	13	tensiontorsion	tensiontorsion	NOUN
fis-2233	353	1	a‐b	a‐b	ADP
fis-2233	353	2	(	(	PUNCT
fis-2233	353	3	ρref>1	ρref>1	NOUN
fis-2233	353	4	)	)	PUNCT
fis-2233	353	5	c‐d	c‐d	PROPN
fis-2233	353	6	(	(	PUNCT
fis-2233	353	7	ρref=0.5‐0.9	ρref=0.5‐0.9	NOUN
fis-2233	353	8	)	)	PUNCT
fis-2233	353	9	0	0	NUM
fis-2233	353	10	0.5	0.5	NUM
fis-2233	353	11	1	1	NUM
fis-2233	353	12	1.5	1.5	NUM
fis-2233	353	13	10	10	NUM
fis-2233	353	14	-2	-2	NOUN
fis-2233	353	15	10	10	NUM
fis-2233	353	16	-1	-1	SYM
fis-2233	353	17	10	10	NUM
fis-2233	353	18	0	0	NUM
fis-2233	353	19	10	10	NUM
fis-2233	353	20	1	1	NUM
fis-2233	353	21	10	10	NUM
fis-2233	353	22	2	2	NUM
fis-2233	353	23			ADP
fis-2233	353	24	ref	ref	NOUN
fis-2233	354	1	d	d	PROPN
fis-2233	354	2	m	m	VERB
fis-2233	354	3	a	a	DET
fis-2233	354	4	t2	t2	NOUN
fis-2233	354	5	/d	/d	PUNCT
fis-2233	354	6	m	m	VERB
fis-2233	354	7	a	a	DET
fis-2233	354	8	t1	t1	PROPN
fis-2233	354	9	t	t	PROPN
fis-2233	354	10	d.	d.	PROPN
fis-2233	354	11	benasciutti	benasciutti	PROPN
fis-2233	354	12	et	et	PROPN
fis-2233	354	13	alii	alii	PROPN
fis-2233	354	14	,	,	PUNCT
fis-2233	354	15	frattura	frattura	PROPN
fis-2233	354	16	ed	ed	PROPN
fis-2233	354	17	integrità	integrità	PROPN
fis-2233	354	18	strutturale	strutturale	PROPN
fis-2233	354	19	,	,	PUNCT
fis-2233	354	20	47	47	NUM
fis-2233	354	21	(	(	PUNCT
fis-2233	354	22	2019	2019	NUM
fis-2233	354	23	)	)	PUNCT
fis-2233	354	24	348	348	NUM
fis-2233	354	25	-	-	SYM
fis-2233	354	26	366	366	NUM
fis-2233	354	27	;	;	PUNCT
fis-2233	354	28	doi	doi	NOUN
fis-2233	354	29	:	:	PUNCT
fis-2233	354	30	10.3221	10.3221	NUM
fis-2233	354	31	/	/	SYM
fis-2233	354	32	igf	igf	PROPN
fis-2233	354	33	-	-	ADJ
fis-2233	354	34	esis.47.26	esis.47.26	ADJ
fis-2233	354	35	362	362	NUM
fis-2233	355	1	[	[	X
fis-2233	355	2	3	3	NUM
fis-2233	355	3	]	]	SYM
fis-2233	355	4	cristofori	cristofori	NOUN
fis-2233	355	5	,	,	PUNCT
fis-2233	355	6	a.	a.	NOUN
fis-2233	355	7	,	,	PUNCT
fis-2233	355	8	benasciutti	benasciutti	PROPN
fis-2233	355	9	,	,	PUNCT
fis-2233	355	10	d.	d.	PROPN
fis-2233	355	11	,	,	PUNCT
fis-2233	355	12	tovo	tovo	PROPN
fis-2233	355	13	,	,	PUNCT
fis-2233	355	14	r.	r.	PROPN
fis-2233	355	15	(	(	PUNCT
fis-2233	355	16	2011	2011	NUM
fis-2233	355	17	)	)	PUNCT
fis-2233	355	18	.	.	PUNCT
fis-2233	356	1	a	a	DET
fis-2233	356	2	stress	stress	NOUN
fis-2233	356	3	invariant	invariant	ADJ
fis-2233	356	4	based	base	VERB
fis-2233	356	5	spectral	spectral	ADJ
fis-2233	356	6	method	method	NOUN
fis-2233	356	7	to	to	PART
fis-2233	356	8	estimate	estimate	VERB
fis-2233	356	9	fatigue	fatigue	NOUN
fis-2233	356	10	life	life	NOUN
fis-2233	356	11	under	under	ADP
fis-2233	356	12	multiaxial	multiaxial	ADJ
fis-2233	356	13	random	random	ADJ
fis-2233	356	14	loading	loading	NOUN
fis-2233	356	15	,	,	PUNCT
fis-2233	356	16	int	int	NOUN
fis-2233	356	17	.	.	PUNCT
fis-2233	357	1	j.	j.	PROPN
fis-2233	357	2	fatigue	fatigue	PROPN
fis-2233	357	3	,	,	PUNCT
fis-2233	357	4	33(7	33(7	NUM
fis-2233	357	5	)	)	PUNCT
fis-2233	357	6	,	,	PUNCT
fis-2233	357	7	pp	pp	ADP
fis-2233	357	8	.	.	PUNCT
fis-2233	358	1	887–899	887–899	NUM
fis-2233	358	2	.	.	PUNCT
fis-2233	359	1	doi	doi	NOUN
fis-2233	359	2	:	:	PUNCT
fis-2233	359	3	10.1016	10.1016	NUM
fis-2233	359	4	/	/	SYM
fis-2233	359	5	j.ijfatigue.2011.01.013	j.ijfatigue.2011.01.013	X
fis-2233	360	1	[	[	X
fis-2233	360	2	4	4	NUM
fis-2233	360	3	]	]	SYM
fis-2233	360	4	cristofori	cristofori	NOUN
fis-2233	360	5	,	,	PUNCT
fis-2233	360	6	a.	a.	NOUN
fis-2233	360	7	,	,	PUNCT
fis-2233	360	8	benasciutti	benasciutti	PROPN
fis-2233	360	9	,	,	PUNCT
fis-2233	360	10	d.	d.	PROPN
fis-2233	360	11	(	(	PUNCT
fis-2233	360	12	2014	2014	NUM
fis-2233	360	13	)	)	PUNCT
fis-2233	360	14	.	.	PUNCT
fis-2233	361	1	“	"	PUNCT
fis-2233	361	2	projection	projection	NOUN
fis-2233	361	3	-	-	PUNCT
fis-2233	361	4	by	by	ADP
fis-2233	361	5	-	-	PUNCT
fis-2233	361	6	projection	projection	NOUN
fis-2233	361	7	”	"	PUNCT
fis-2233	361	8	approach	approach	NOUN
fis-2233	361	9	:	:	PUNCT
fis-2233	361	10	a	a	DET
fis-2233	361	11	spectral	spectral	ADJ
fis-2233	361	12	method	method	NOUN
fis-2233	361	13	for	for	ADP
fis-2233	361	14	multiaxial	multiaxial	ADJ
fis-2233	361	15	random	random	ADJ
fis-2233	361	16	fatigue	fatigue	NOUN
fis-2233	361	17	,	,	PUNCT
fis-2233	361	18	sae	sae	PROPN
fis-2233	361	19	technical	technical	PROPN
fis-2233	361	20	paper	paper	PROPN
fis-2233	361	21	2014	2014	NUM
fis-2233	361	22	-	-	SYM
fis-2233	361	23	01	01	NUM
fis-2233	361	24	-	-	PUNCT
fis-2233	361	25	0924	0924	NUM
fis-2233	361	26	.	.	PUNCT
fis-2233	362	1	doi	doi	NOUN
fis-2233	362	2	:	:	PUNCT
fis-2233	362	3	10.4271/2014	10.4271/2014	NUM
fis-2233	362	4	-	-	PUNCT
fis-2233	362	5	01	01	NUM
fis-2233	362	6	-	-	PUNCT
fis-2233	362	7	0924	0924	NUM
fis-2233	362	8	[	[	X
fis-2233	362	9	5	5	NUM
fis-2233	362	10	]	]	X
fis-2233	362	11	benasciutti	benasciutti	PROPN
fis-2233	362	12	,	,	PUNCT
fis-2233	362	13	d.	d.	PROPN
fis-2233	362	14	,	,	PUNCT
fis-2233	362	15	sherratt	sherratt	PROPN
fis-2233	362	16	,	,	PUNCT
fis-2233	362	17	f.	f.	PROPN
fis-2233	362	18	,	,	PUNCT
fis-2233	362	19	cristofori	cristofori	PROPN
fis-2233	362	20	,	,	PUNCT
fis-2233	362	21	a.	a.	NOUN
fis-2233	362	22	(	(	PUNCT
fis-2233	362	23	2016	2016	NUM
fis-2233	362	24	)	)	PUNCT
fis-2233	362	25	.	.	PUNCT
fis-2233	363	1	recent	recent	ADJ
fis-2233	363	2	developments	development	NOUN
fis-2233	363	3	in	in	ADP
fis-2233	363	4	frequency	frequency	NOUN
fis-2233	363	5	domain	domain	NOUN
fis-2233	363	6	multi	multi	ADJ
fis-2233	363	7	-	-	ADJ
fis-2233	363	8	axial	axial	ADJ
fis-2233	363	9	fatigue	fatigue	NOUN
fis-2233	363	10	analysis	analysis	NOUN
fis-2233	363	11	.	.	PUNCT
fis-2233	364	1	int	int	NOUN
fis-2233	364	2	.	.	PUNCT
fis-2233	365	1	j.	j.	PROPN
fis-2233	365	2	fatigue	fatigue	PROPN
fis-2233	365	3	,	,	PUNCT
fis-2233	365	4	91	91	NUM
fis-2233	365	5	,	,	PUNCT
fis-2233	365	6	pp	pp	ADJ
fis-2233	365	7	.	.	PUNCT
fis-2233	366	1	397–413	397–413	NUM
fis-2233	366	2	.	.	PUNCT
fis-2233	367	1	doi	doi	NOUN
fis-2233	367	2	:	:	PUNCT
fis-2233	367	3	10.1016	10.1016	NUM
fis-2233	367	4	/	/	SYM
fis-2233	367	5	j.ijfatigue.2016.04.012	j.ijfatigue.2016.04.012	NOUN
fis-2233	368	1	[	[	X
fis-2233	368	2	6	6	NUM
fis-2233	368	3	]	]	X
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fis-2233	368	5	,	,	PUNCT
fis-2233	368	6	i.v	i.v	PROPN
fis-2233	368	7	.	.	PROPN
fis-2233	368	8	,	,	PUNCT
fis-2233	368	9	davoli	davoli	ADV
fis-2233	368	10	,	,	PUNCT
fis-2233	368	11	p.	p.	NOUN
fis-2233	368	12	,	,	PUNCT
fis-2233	368	13	gorla	gorla	PROPN
fis-2233	368	14	,	,	PUNCT
fis-2233	368	15	c.	c.	NOUN
fis-2233	368	16	,	,	PUNCT
fis-2233	368	17	filippini	filippini	NOUN
fis-2233	368	18	,	,	PUNCT
fis-2233	368	19	m.	m.	NOUN
fis-2233	368	20	,	,	PUNCT
fis-2233	368	21	bernasconi	bernasconi	PROPN
fis-2233	368	22	,	,	PUNCT
fis-2233	368	23	a.	a.	NOUN
fis-2233	368	24	(	(	PUNCT
fis-2233	368	25	1997	1997	NUM
fis-2233	368	26	)	)	PUNCT
fis-2233	368	27	.	.	PUNCT
fis-2233	369	1	a	a	DET
fis-2233	369	2	comparative	comparative	ADJ
fis-2233	369	3	study	study	NOUN
fis-2233	369	4	of	of	ADP
fis-2233	369	5	multiaxial	multiaxial	ADJ
fis-2233	369	6	highcycle	highcycle	NOUN
fis-2233	369	7	fatigue	fatigue	NOUN
fis-2233	369	8	criteria	criterion	NOUN
fis-2233	369	9	for	for	ADP
fis-2233	369	10	metals	metal	NOUN
fis-2233	369	11	,	,	PUNCT
fis-2233	369	12	int	int	NOUN
fis-2233	369	13	j.	j.	PROPN
fis-2233	369	14	fatigue	fatigue	PROPN
fis-2233	369	15	,	,	PUNCT
fis-2233	369	16	19(3	19(3	NUM
fis-2233	369	17	)	)	PUNCT
fis-2233	369	18	,	,	PUNCT
fis-2233	369	19	pp	pp	ADJ
fis-2233	369	20	.	.	PUNCT
fis-2233	370	1	219–35	219–35	NUM
fis-2233	370	2	.	.	PUNCT
fis-2233	371	1	doi	doi	NOUN
fis-2233	371	2	:	:	PUNCT
fis-2233	371	3	10.1016	10.1016	NUM
fis-2233	371	4	/	/	SYM
fis-2233	371	5	s0142	s0142	NOUN
fis-2233	371	6	-	-	PUNCT
fis-2233	371	7	1123(96)00064	1123(96)00064	NUM
fis-2233	371	8	-	-	PUNCT
fis-2233	371	9	3	3	NUM
fis-2233	371	10	[	[	X
fis-2233	371	11	7	7	NUM
fis-2233	371	12	]	]	X
fis-2233	371	13	susmel	susmel	NOUN
fis-2233	371	14	,	,	PUNCT
fis-2233	371	15	l	l	NOUN
fis-2233	371	16	,	,	PUNCT
fis-2233	371	17	lazzarin	lazzarin	NOUN
fis-2233	371	18	,	,	PUNCT
fis-2233	371	19	p.	p.	NOUN
fis-2233	371	20	(	(	PUNCT
fis-2233	371	21	2002	2002	NUM
fis-2233	371	22	)	)	PUNCT
fis-2233	371	23	.	.	PUNCT
fis-2233	372	1	a	a	DET
fis-2233	372	2	bi	bi	ADJ
fis-2233	372	3	-	-	ADJ
fis-2233	372	4	parametric	parametric	ADJ
fis-2233	372	5	wöhler	wöhl	ADJ
fis-2233	372	6	curve	curve	NOUN
fis-2233	372	7	for	for	ADP
fis-2233	372	8	high	high	ADJ
fis-2233	372	9	cycle	cycle	NOUN
fis-2233	372	10	multiaxial	multiaxial	ADJ
fis-2233	372	11	fatigue	fatigue	NOUN
fis-2233	372	12	assessment	assessment	NOUN
fis-2233	372	13	,	,	PUNCT
fis-2233	372	14	fatigue	fatigue	NOUN
fis-2233	372	15	fract	fract	NOUN
fis-2233	372	16	.	.	PUNCT
fis-2233	373	1	engng	engng	PROPN
fis-2233	373	2	.	.	PUNCT
fis-2233	374	1	mater	mater	NOUN
fis-2233	374	2	.	.	PUNCT
fis-2233	374	3	struct	struct	NOUN
fis-2233	374	4	.	.	PUNCT
fis-2233	374	5	,	,	PUNCT
fis-2233	374	6	25	25	NUM
fis-2233	374	7	,	,	PUNCT
fis-2233	374	8	pp	pp	ADJ
fis-2233	374	9	.	.	PUNCT
fis-2233	375	1	63–78	63–78	NOUN
fis-2233	375	2	.	.	PUNCT
fis-2233	376	1	doi	doi	NOUN
fis-2233	376	2	:	:	PUNCT
fis-2233	376	3	10.1046	10.1046	NUM
fis-2233	376	4	/	/	SYM
fis-2233	376	5	j.1460	j.1460	NOUN
fis-2233	376	6	-	-	PUNCT
fis-2233	376	7	2695.2002.00462.x	2695.2002.00462.x	NUM
fis-2233	377	1	[	[	X
fis-2233	377	2	8	8	NUM
fis-2233	377	3	]	]	X
fis-2233	377	4	benasciutti	benasciutti	PROPN
fis-2233	377	5	,	,	PUNCT
fis-2233	377	6	d.	d.	PROPN
fis-2233	377	7	(	(	PUNCT
fis-2233	377	8	2014	2014	NUM
fis-2233	377	9	)	)	PUNCT
fis-2233	377	10	.	.	PUNCT
fis-2233	378	1	some	some	DET
fis-2233	378	2	analytical	analytical	ADJ
fis-2233	378	3	expressions	expression	NOUN
fis-2233	378	4	to	to	PART
fis-2233	378	5	measure	measure	VERB
fis-2233	378	6	the	the	DET
fis-2233	378	7	accuracy	accuracy	NOUN
fis-2233	378	8	of	of	ADP
fis-2233	378	9	the	the	DET
fis-2233	378	10	“	"	PUNCT
fis-2233	378	11	equivalent	equivalent	ADJ
fis-2233	378	12	von	von	PROPN
fis-2233	378	13	mises	mises	PROPN
fis-2233	378	14	stress	stress	PROPN
fis-2233	378	15	”	"	PUNCT
fis-2233	378	16	in	in	ADP
fis-2233	378	17	vibration	vibration	NOUN
fis-2233	378	18	multiaxial	multiaxial	ADJ
fis-2233	378	19	fatigue	fatigue	NOUN
fis-2233	378	20	,	,	PUNCT
fis-2233	378	21	j.	j.	PROPN
fis-2233	378	22	sound	sound	PROPN
fis-2233	378	23	vib	vib	PROPN
fis-2233	378	24	.	.	PROPN
fis-2233	378	25	,	,	PUNCT
fis-2233	378	26	333(18	333(18	NUM
fis-2233	378	27	)	)	PUNCT
fis-2233	378	28	,	,	PUNCT
fis-2233	378	29	pp	pp	ADP
fis-2233	378	30	.	.	PUNCT
fis-2233	379	1	4326–4340	4326–4340	NUM
fis-2233	379	2	.	.	PUNCT
fis-2233	380	1	doi	doi	NOUN
fis-2233	380	2	:	:	PUNCT
fis-2233	380	3	10.1016	10.1016	NUM
fis-2233	380	4	/	/	SYM
fis-2233	380	5	j.jsv.2014.04.047	j.jsv.2014.04.047	PROPN
fis-2233	381	1	[	[	X
fis-2233	381	2	9	9	NUM
fis-2233	381	3	]	]	SYM
fis-2233	381	4	kurek	kurek	NOUN
fis-2233	381	5	,	,	PUNCT
fis-2233	381	6	m.	m.	NOUN
fis-2233	381	7	,	,	PUNCT
fis-2233	381	8	łagoda	łagoda	PROPN
fis-2233	381	9	,	,	PUNCT
fis-2233	381	10	t.	t.	PROPN
fis-2233	381	11	(	(	PUNCT
fis-2233	381	12	2011	2011	NUM
fis-2233	381	13	)	)	PUNCT
fis-2233	381	14	.	.	PUNCT
fis-2233	382	1	comparison	comparison	NOUN
fis-2233	382	2	of	of	ADP
fis-2233	382	3	the	the	DET
fis-2233	382	4	fatigue	fatigue	NOUN
fis-2233	382	5	characteristics	characteristic	NOUN
fis-2233	382	6	for	for	ADP
fis-2233	382	7	some	some	DET
fis-2233	382	8	selected	select	VERB
fis-2233	382	9	structural	structural	ADJ
fis-2233	382	10	materials	material	NOUN
fis-2233	382	11	under	under	ADP
fis-2233	382	12	bending	bending	NOUN
fis-2233	382	13	and	and	CCONJ
fis-2233	382	14	torsion	torsion	NOUN
fis-2233	382	15	,	,	PUNCT
fis-2233	382	16	mater	mater	NOUN
fis-2233	382	17	.	.	PUNCT
fis-2233	383	1	sci	sci	PROPN
fis-2233	383	2	.	.	PROPN
fis-2233	383	3	,	,	PUNCT
fis-2233	383	4	47(3	47(3	NOUN
fis-2233	383	5	)	)	PUNCT
fis-2233	383	6	,	,	PUNCT
fis-2233	383	7	pp	pp	ADP
fis-2233	383	8	.	.	PUNCT
fis-2233	384	1	334–344	334–344	NUM
fis-2233	384	2	.	.	PUNCT
fis-2233	384	3	doi	doi	NOUN
fis-2233	384	4	:	:	PUNCT
fis-2233	384	5	10.1007	10.1007	NUM
fis-2233	384	6	/	/	SYM
fis-2233	384	7	s11003	s11003	NOUN
fis-2233	384	8	-	-	PUNCT
fis-2233	384	9	011	011	NUM
fis-2233	384	10	-	-	PUNCT
fis-2233	384	11	9401	9401	NUM
fis-2233	384	12	-	-	PUNCT
fis-2233	384	13	x	x	PUNCT
fis-2233	385	1	[	[	X
fis-2233	385	2	10	10	NUM
fis-2233	385	3	]	]	X
fis-2233	385	4	atzori	atzori	PROPN
fis-2233	385	5	,	,	PUNCT
fis-2233	385	6	b.	b.	PROPN
fis-2233	385	7	,	,	PUNCT
fis-2233	385	8	berto	berto	PROPN
fis-2233	385	9	,	,	PUNCT
fis-2233	385	10	f.	f.	PROPN
fis-2233	385	11	,	,	PUNCT
fis-2233	385	12	lazzarin	lazzarin	PROPN
fis-2233	385	13	,	,	PUNCT
fis-2233	385	14	p.	p.	NOUN
fis-2233	385	15	,	,	PUNCT
fis-2233	385	16	quaresimin	quaresimin	NOUN
fis-2233	385	17	,	,	PUNCT
fis-2233	385	18	m.	m.	NOUN
fis-2233	385	19	(	(	PUNCT
fis-2233	385	20	2006	2006	NUM
fis-2233	385	21	)	)	PUNCT
fis-2233	385	22	.	.	PUNCT
fis-2233	386	1	multiaxial	multiaxial	ADJ
fis-2233	386	2	fatigue	fatigue	NOUN
fis-2233	386	3	behaviour	behaviour	NOUN
fis-2233	386	4	of	of	ADP
fis-2233	386	5	a	a	DET
fis-2233	386	6	severely	severely	ADV
fis-2233	386	7	notched	notch	VERB
fis-2233	386	8	carbon	carbon	NOUN
fis-2233	386	9	steel	steel	NOUN
fis-2233	386	10	,	,	PUNCT
fis-2233	386	11	int	int	NOUN
fis-2233	386	12	.	.	PUNCT
fis-2233	387	1	j.	j.	PROPN
fis-2233	387	2	fatigue	fatigue	PROPN
fis-2233	387	3	,	,	PUNCT
fis-2233	387	4	28	28	NUM
fis-2233	387	5	,	,	PUNCT
fis-2233	387	6	pp	pp	ADJ
fis-2233	387	7	.	.	PUNCT
fis-2233	388	1	485–493	485–493	NUM
fis-2233	388	2	.	.	PUNCT
fis-2233	388	3	doi:10.1016	doi:10.1016	PROPN
fis-2233	388	4	/	/	SYM
fis-2233	388	5	j.ijfatigue.2005.05.010	j.ijfatigue.2005.05.010	PROPN
fis-2233	389	1	[	[	X
fis-2233	389	2	11	11	NUM
fis-2233	389	3	]	]	SYM
fis-2233	389	4	papuga	papuga	PROPN
fis-2233	389	5	,	,	PUNCT
fis-2233	389	6	j.	j.	PROPN
fis-2233	389	7	,	,	PUNCT
fis-2233	389	8	růžička	růžička	PROPN
fis-2233	389	9	,	,	PUNCT
fis-2233	389	10	m.	m.	NOUN
fis-2233	389	11	(	(	PUNCT
fis-2233	389	12	2009	2009	NUM
fis-2233	389	13	)	)	PUNCT
fis-2233	389	14	.	.	PUNCT
fis-2233	390	1	aiming	aim	VERB
fis-2233	390	2	at	at	ADP
fis-2233	390	3	stress	stress	NOUN
fis-2233	390	4	-	-	PUNCT
fis-2233	390	5	based	base	VERB
fis-2233	390	6	critical	critical	ADJ
fis-2233	390	7	plane	plane	NOUN
fis-2233	390	8	multiaxial	multiaxial	ADJ
fis-2233	390	9	method	method	NOUN
fis-2233	390	10	for	for	ADP
fis-2233	390	11	finite	finite	ADJ
fis-2233	390	12	life	life	NOUN
fis-2233	390	13	calculation	calculation	NOUN
fis-2233	390	14	,	,	PUNCT
fis-2233	390	15	in	in	ADP
fis-2233	390	16	:	:	PUNCT
fis-2233	390	17	c.m	c.m	PROPN
fis-2233	390	18	.	.	PROPN
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fis-2233	390	20	,	,	PUNCT
fis-2233	390	21	p.c	p.c	PROPN
fis-2233	390	22	.	.	PROPN
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fis-2233	390	24	(	(	PUNCT
fis-2233	390	25	eds	ed	NOUN
fis-2233	390	26	.	.	PUNCT
fis-2233	390	27	)	)	PUNCT
fis-2233	391	1	,	,	PUNCT
fis-2233	391	2	proceedings	proceeding	NOUN
fis-2233	391	3	of	of	ADP
fis-2233	391	4	the	the	DET
fis-2233	391	5	second	second	ADJ
fis-2233	391	6	int	int	NOUN
fis-2233	391	7	.	.	PUNCT
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fis-2233	392	2	on	on	ADP
fis-2233	392	3	material	material	NOUN
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fis-2233	392	6	performance	performance	NOUN
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fis-2233	392	9	amplitude	amplitude	NOUN
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fis-2233	392	11	,	,	PUNCT
fis-2233	392	12	darmstadt	darmstadt	PROPN
fis-2233	392	13	,	,	PUNCT
fis-2233	392	14	pp	pp	ADJ
fis-2233	392	15	.	.	PUNCT
fis-2233	393	1	465–474	465–474	NUM
fis-2233	393	2	.	.	PUNCT
fis-2233	394	1	[	[	X
fis-2233	394	2	12	12	NUM
fis-2233	394	3	]	]	PUNCT
fis-2233	394	4	niełsony	niełsony	NOUN
fis-2233	394	5	,	,	PUNCT
fis-2233	394	6	a.	a.	NOUN
fis-2233	394	7	(	(	PUNCT
fis-2233	394	8	2010	2010	NUM
fis-2233	394	9	)	)	PUNCT
fis-2233	394	10	.	.	PUNCT
fis-2233	395	1	comparison	comparison	NOUN
fis-2233	395	2	of	of	ADP
fis-2233	395	3	some	some	DET
fis-2233	395	4	selected	select	VERB
fis-2233	395	5	multiaxial	multiaxial	ADJ
fis-2233	395	6	fatigue	fatigue	NOUN
fis-2233	395	7	failure	failure	NOUN
fis-2233	395	8	criteria	criterion	NOUN
fis-2233	395	9	dedicated	dedicate	VERB
fis-2233	395	10	for	for	ADP
fis-2233	395	11	spectral	spectral	ADJ
fis-2233	395	12	method	method	NOUN
fis-2233	395	13	,	,	PUNCT
fis-2233	395	14	j.	j.	PROPN
fis-2233	395	15	theor	theor	PROPN
fis-2233	395	16	.	.	PUNCT
fis-2233	396	1	appl	appl	PROPN
fis-2233	396	2	.	.	PROPN
fis-2233	396	3	mech	mech	PROPN
fis-2233	396	4	.	.	PUNCT
fis-2233	396	5	,	,	PUNCT
fis-2233	396	6	48(1	48(1	NOUN
fis-2233	396	7	)	)	PUNCT
fis-2233	396	8	,	,	PUNCT
fis-2233	396	9	pp	pp	ADP
fis-2233	396	10	.	.	PUNCT
fis-2233	397	1	233–254	233–254	NUM
fis-2233	397	2	.	.	PUNCT
fis-2233	398	1	[	[	X
fis-2233	398	2	13	13	NUM
fis-2233	398	3	]	]	PUNCT
fis-2233	398	4	simbürger	simbürger	NOUN
fis-2233	398	5	,	,	PUNCT
fis-2233	398	6	a.	a.	NOUN
fis-2233	398	7	(	(	PUNCT
fis-2233	398	8	1975	1975	NUM
fis-2233	398	9	)	)	PUNCT
fis-2233	398	10	.	.	PUNCT
fis-2233	399	1	festigkeitsverhalten	festigkeitsverhalten	ADJ
fis-2233	399	2	zäher	zäher	PROPN
fis-2233	399	3	werkstoffe	werkstoffe	PROPN
fis-2233	399	4	bei	bei	PROPN
fis-2233	399	5	einer	einer	NOUN
fis-2233	399	6	mehrachsigen	mehrachsigen	NOUN
fis-2233	399	7	,	,	PUNCT
fis-2233	399	8	phasenverschobenen	phasenverschobenen	ADJ
fis-2233	399	9	schwingbeanspruchung	schwingbeanspruchung	PROPN
fis-2233	399	10	mit	mit	PROPN
fis-2233	399	11	körperfesten	körperfesten	VERB
fis-2233	399	12	und	und	VERB
fis-2233	399	13	veränderlichen	veränderlichen	ADJ
fis-2233	399	14	hauptspannungsrichtungen	hauptspannungsrichtungen	NOUN
fis-2233	399	15	,	,	PUNCT
fis-2233	399	16	lbf	lbf	PROPN
fis-2233	399	17	frauhofer	frauhofer	PROPN
fis-2233	399	18	institute	institute	PROPN
fis-2233	399	19	,	,	PUNCT
fis-2233	399	20	darmstadt	darmstadt	PROPN
fis-2233	399	21	,	,	PUNCT
fis-2233	399	22	report	report	VERB
fis-2233	399	23	no	no	INTJ
fis-2233	399	24	.	.	PUNCT
fis-2233	400	1	fb-121	fb-121	PROPN
fis-2233	400	2	(	(	PUNCT
fis-2233	400	3	in	in	ADP
fis-2233	400	4	german	german	NOUN
fis-2233	400	5	)	)	PUNCT
fis-2233	400	6	.	.	PUNCT
fis-2233	401	1	[	[	X
fis-2233	401	2	14	14	NUM
fis-2233	401	3	]	]	PUNCT
fis-2233	401	4	niełsony	niełsony	NOUN
fis-2233	401	5	,	,	PUNCT
fis-2233	401	6	a.	a.	NOUN
fis-2233	401	7	,	,	PUNCT
fis-2233	401	8	sonsino	sonsino	PROPN
fis-2233	401	9	,	,	PUNCT
fis-2233	401	10	c.m	c.m	PROPN
fis-2233	401	11	.	.	PROPN
fis-2233	401	12	(	(	PUNCT
fis-2233	401	13	2008	2008	NUM
fis-2233	401	14	)	)	PUNCT
fis-2233	401	15	.	.	PUNCT
fis-2233	402	1	comparison	comparison	NOUN
fis-2233	402	2	of	of	ADP
fis-2233	402	3	some	some	DET
fis-2233	402	4	selected	select	VERB
fis-2233	402	5	multiaxial	multiaxial	ADJ
fis-2233	402	6	fatigue	fatigue	NOUN
fis-2233	402	7	assessment	assessment	NOUN
fis-2233	402	8	criteria	criterion	NOUN
fis-2233	402	9	,	,	PUNCT
fis-2233	402	10	lbf	lbf	PROPN
fis-2233	402	11	fraunhofer	fraunhofer	PROPN
fis-2233	402	12	institute	institute	PROPN
fis-2233	402	13	,	,	PUNCT
fis-2233	402	14	darmstadt	darmstadt	PROPN
fis-2233	402	15	,	,	PUNCT
fis-2233	402	16	report	report	NOUN
fis-2233	402	17	no	no	INTJ
fis-2233	402	18	.	.	PUNCT
fis-2233	403	1	fb-234	fb-234	PROPN
fis-2233	403	2	.	.	PUNCT
fis-2233	404	1	[	[	X
fis-2233	404	2	15	15	NUM
fis-2233	404	3	]	]	X
fis-2233	404	4	benasciutti	benasciutti	PROPN
fis-2233	404	5	,	,	PUNCT
fis-2233	404	6	d.	d.	PROPN
fis-2233	404	7	,	,	PUNCT
fis-2233	404	8	tovo	tovo	PROPN
fis-2233	404	9	,	,	PUNCT
fis-2233	404	10	r.	r.	PROPN
fis-2233	404	11	(	(	PUNCT
fis-2233	404	12	2005	2005	NUM
fis-2233	404	13	)	)	PUNCT
fis-2233	404	14	.	.	PUNCT
fis-2233	405	1	spectral	spectral	ADJ
fis-2233	405	2	methods	method	NOUN
fis-2233	405	3	for	for	ADP
fis-2233	405	4	lifetime	lifetime	NOUN
fis-2233	405	5	prediction	prediction	NOUN
fis-2233	405	6	under	under	ADP
fis-2233	405	7	wide	wide	ADJ
fis-2233	405	8	-	-	PUNCT
fis-2233	405	9	band	band	NOUN
fis-2233	405	10	stationary	stationary	ADJ
fis-2233	405	11	random	random	ADJ
fis-2233	405	12	processes	process	NOUN
fis-2233	405	13	,	,	PUNCT
fis-2233	405	14	int	int	NOUN
fis-2233	405	15	.	.	PUNCT
fis-2233	406	1	j.	j.	PROPN
fis-2233	406	2	fatigue	fatigue	PROPN
fis-2233	406	3	,	,	PUNCT
fis-2233	406	4	27(8	27(8	NUM
fis-2233	406	5	)	)	PUNCT
fis-2233	406	6	,	,	PUNCT
fis-2233	406	7	pp	pp	ADP
fis-2233	406	8	.	.	PUNCT
fis-2233	407	1	867–877	867–877	NUM
fis-2233	407	2	.	.	PUNCT
fis-2233	408	1	doi	doi	NOUN
fis-2233	408	2	:	:	PUNCT
fis-2233	408	3	10.1016	10.1016	NUM
fis-2233	408	4	/	/	SYM
fis-2233	408	5	j.ijfatigue.2004.10.007	j.ijfatigue.2004.10.007	PROPN
fis-2233	409	1	[	[	X
fis-2233	409	2	16	16	NUM
fis-2233	409	3	]	]	X
fis-2233	409	4	benasciutti	benasciutti	PROPN
fis-2233	409	5	,	,	PUNCT
fis-2233	409	6	d.	d.	PROPN
fis-2233	409	7	,	,	PUNCT
fis-2233	409	8	tovo	tovo	PROPN
fis-2233	409	9	,	,	PUNCT
fis-2233	409	10	r.	r.	PROPN
fis-2233	409	11	(	(	PUNCT
fis-2233	409	12	2006	2006	NUM
fis-2233	409	13	)	)	PUNCT
fis-2233	409	14	.	.	PUNCT
fis-2233	410	1	comparison	comparison	NOUN
fis-2233	410	2	of	of	ADP
fis-2233	410	3	spectral	spectral	ADJ
fis-2233	410	4	methods	method	NOUN
fis-2233	410	5	for	for	ADP
fis-2233	410	6	fatigue	fatigue	NOUN
fis-2233	410	7	analysis	analysis	NOUN
fis-2233	410	8	of	of	ADP
fis-2233	410	9	broad	broad	ADJ
fis-2233	410	10	-	-	PUNCT
fis-2233	410	11	band	band	NOUN
fis-2233	410	12	gaussian	gaussian	ADJ
fis-2233	410	13	random	random	ADJ
fis-2233	410	14	processes	process	NOUN
fis-2233	410	15	,	,	PUNCT
fis-2233	410	16	probab	probab	PROPN
fis-2233	410	17	.	.	PUNCT
fis-2233	411	1	eng	eng	PROPN
fis-2233	411	2	.	.	PROPN
fis-2233	411	3	mech	mech	PROPN
fis-2233	411	4	.	.	PROPN
fis-2233	411	5	,	,	PUNCT
fis-2233	411	6	21(4	21(4	NUM
fis-2233	411	7	)	)	PUNCT
fis-2233	411	8	,	,	PUNCT
fis-2233	411	9	pp	pp	ADJ
fis-2233	411	10	.	.	PUNCT
fis-2233	412	1	287–299	287–299	NUM
fis-2233	412	2	.	.	PUNCT
fis-2233	413	1	doi	doi	NOUN
fis-2233	413	2	:	:	PUNCT
fis-2233	413	3	10.1016	10.1016	NUM
fis-2233	413	4	/	/	SYM
fis-2233	413	5	j.probengmech.2005.10.003	j.probengmech.2005.10.003	PROPN
fis-2233	414	1	[	[	X
fis-2233	414	2	17	17	NUM
fis-2233	414	3	]	]	PUNCT
fis-2233	414	4	dirlik	dirlik	NOUN
fis-2233	414	5	,	,	PUNCT
fis-2233	414	6	t.	t.	PROPN
fis-2233	414	7	(	(	PUNCT
fis-2233	414	8	1985	1985	NUM
fis-2233	414	9	)	)	PUNCT
fis-2233	414	10	.	.	PUNCT
fis-2233	415	1	application	application	NOUN
fis-2233	415	2	of	of	ADP
fis-2233	415	3	computers	computer	NOUN
fis-2233	415	4	in	in	ADP
fis-2233	415	5	fatigue	fatigue	NOUN
fis-2233	415	6	analysis	analysis	NOUN
fis-2233	415	7	.	.	PUNCT
fis-2233	416	1	phd	phd	NOUN
fis-2233	416	2	thesis	thesis	NOUN
fis-2233	416	3	,	,	PUNCT
fis-2233	416	4	dept	dept	NOUN
fis-2233	416	5	.	.	PROPN
fis-2233	416	6	of	of	ADP
fis-2233	416	7	engineering	engineering	PROPN
fis-2233	416	8	,	,	PUNCT
fis-2233	416	9	university	university	PROPN
fis-2233	416	10	of	of	ADP
fis-2233	416	11	warwick	warwick	PROPN
fis-2233	416	12	,	,	PUNCT
fis-2233	416	13	uk	uk	PROPN
fis-2233	416	14	.	.	PUNCT
fis-2233	417	1	[	[	X
fis-2233	417	2	18	18	NUM
fis-2233	417	3	]	]	PUNCT
fis-2233	417	4	pitoiset	pitoiset	NOUN
fis-2233	417	5	,	,	PUNCT
fis-2233	417	6	x.	x.	NOUN
fis-2233	417	7	,	,	PUNCT
fis-2233	417	8	preumont	preumont	NOUN
fis-2233	417	9	,	,	PUNCT
fis-2233	417	10	a.	a.	NOUN
fis-2233	417	11	(	(	PUNCT
fis-2233	417	12	2000	2000	NUM
fis-2233	417	13	)	)	PUNCT
fis-2233	417	14	.	.	PUNCT
fis-2233	418	1	spectral	spectral	ADJ
fis-2233	418	2	methods	method	NOUN
fis-2233	418	3	for	for	ADP
fis-2233	418	4	multiaxial	multiaxial	ADJ
fis-2233	418	5	random	random	ADJ
fis-2233	418	6	fatigue	fatigue	NOUN
fis-2233	418	7	analysis	analysis	NOUN
fis-2233	418	8	of	of	ADP
fis-2233	418	9	metallic	metallic	ADJ
fis-2233	418	10	structures	structure	NOUN
fis-2233	418	11	,	,	PUNCT
fis-2233	418	12	int	int	NOUN
fis-2233	418	13	.	.	PUNCT
fis-2233	419	1	j.	j.	PROPN
fis-2233	419	2	fatigue	fatigue	PROPN
fis-2233	419	3	,	,	PUNCT
fis-2233	419	4	22	22	NUM
fis-2233	419	5	,	,	PUNCT
fis-2233	419	6	pp	pp	ADJ
fis-2233	419	7	.	.	PUNCT
fis-2233	420	1	541–550	541–550	NUM
fis-2233	420	2	.	.	PUNCT
fis-2233	421	1	doi	doi	NOUN
fis-2233	421	2	:	:	PUNCT
fis-2233	421	3	10.1016	10.1016	NUM
fis-2233	421	4	/	/	SYM
fis-2233	421	5	s0142	s0142	PRON
fis-2233	421	6	-	-	PUNCT
fis-2233	421	7	1123(00)00038	1123(00)00038	NUM
fis-2233	421	8	-	-	SYM
fis-2233	421	9	4	4	NUM
fis-2233	421	10	[	[	SYM
fis-2233	421	11	19	19	NUM
fis-2233	421	12	]	]	X
fis-2233	421	13	benasciutti	benasciutti	PROPN
fis-2233	421	14	d.	d.	PROPN
fis-2233	421	15	,	,	PUNCT
fis-2233	421	16	carlet	carlet	PROPN
fis-2233	421	17	m.	m.	NOUN
fis-2233	421	18	,	,	PUNCT
fis-2233	421	19	zanellati	zanellati	PROPN
fis-2233	421	20	d.	d.	PROPN
fis-2233	421	21	(	(	PUNCT
fis-2233	421	22	2018	2018	NUM
fis-2233	421	23	)	)	PUNCT
fis-2233	421	24	a	a	DET
fis-2233	421	25	bandwidth	bandwidth	ADJ
fis-2233	421	26	correction	correction	NOUN
fis-2233	421	27	to	to	ADP
fis-2233	421	28	the	the	DET
fis-2233	421	29	allegri	allegri	PROPN
fis-2233	421	30	-	-	PUNCT
fis-2233	421	31	zhang	zhang	PROPN
fis-2233	421	32	solution	solution	NOUN
fis-2233	421	33	for	for	ADP
fis-2233	421	34	accelerated	accelerate	VERB
fis-2233	421	35	random	random	ADJ
fis-2233	421	36	vibration	vibration	NOUN
fis-2233	421	37	testing	testing	NOUN
fis-2233	421	38	.	.	PUNCT
fis-2233	422	1	matec	matec	ADJ
fis-2233	422	2	web	web	NOUN
fis-2233	422	3	of	of	ADP
fis-2233	422	4	conferences	conference	NOUN
fis-2233	422	5	,	,	PUNCT
fis-2233	422	6	165	165	NUM
fis-2233	422	7	,	,	PUNCT
fis-2233	422	8	pp	pp	ADJ
fis-2233	422	9	.	.	PUNCT
fis-2233	422	10	07006	07006	NUM
fis-2233	422	11	.	.	PUNCT
fis-2233	423	1	doi	doi	NOUN
fis-2233	423	2	:	:	PUNCT
fis-2233	423	3	10.1051	10.1051	NUM
fis-2233	423	4	/	/	SYM
fis-2233	423	5	matecconf/201816507006	matecconf/201816507006	NOUN
fis-2233	424	1	[	[	X
fis-2233	424	2	20	20	NUM
fis-2233	424	3	]	]	PUNCT
fis-2233	424	4	bendat	bendat	PROPN
fis-2233	424	5	,	,	PUNCT
fis-2233	424	6	j.s	j.s	PROPN
fis-2233	424	7	.	.	PROPN
fis-2233	424	8	,	,	PUNCT
fis-2233	424	9	piersol	piersol	PROPN
fis-2233	424	10	,	,	PUNCT
fis-2233	424	11	a.g	a.g	PROPN
fis-2233	424	12	.	.	PROPN
fis-2233	424	13	(	(	PUNCT
fis-2233	424	14	2010	2010	NUM
fis-2233	424	15	)	)	PUNCT
fis-2233	424	16	.	.	PUNCT
fis-2233	425	1	random	random	ADJ
fis-2233	425	2	data	datum	NOUN
fis-2233	425	3	.	.	PUNCT
fis-2233	426	1	analysis	analysis	NOUN
fis-2233	426	2	and	and	CCONJ
fis-2233	426	3	measurements	measurement	NOUN
fis-2233	426	4	procedures	procedure	NOUN
fis-2233	426	5	,	,	PUNCT
fis-2233	426	6	4th	4th	ADJ
fis-2233	426	7	ed	ed	NOUN
fis-2233	426	8	.	.	PROPN
fis-2233	426	9	,	,	PUNCT
fis-2233	426	10	wiley	wiley	PROPN
fis-2233	426	11	,	,	PUNCT
fis-2233	426	12	usa	usa	PROPN
fis-2233	426	13	.	.	PUNCT
fis-2233	427	1	[	[	X
fis-2233	427	2	21	21	NUM
fis-2233	427	3	]	]	X
fis-2233	427	4	lutes	lute	NOUN
fis-2233	427	5	,	,	PUNCT
fis-2233	427	6	l.d	l.d	PROPN
fis-2233	427	7	.	.	PROPN
fis-2233	427	8	,	,	PUNCT
fis-2233	427	9	sarkani	sarkani	PROPN
fis-2233	427	10	,	,	PUNCT
fis-2233	427	11	s.	s.	PROPN
fis-2233	427	12	(	(	PUNCT
fis-2233	427	13	2004	2004	NUM
fis-2233	427	14	)	)	PUNCT
fis-2233	427	15	.	.	PUNCT
fis-2233	428	1	random	random	ADJ
fis-2233	428	2	vibrations	vibration	NOUN
fis-2233	428	3	:	:	PUNCT
fis-2233	428	4	analysis	analysis	NOUN
fis-2233	428	5	of	of	ADP
fis-2233	428	6	structural	structural	ADJ
fis-2233	428	7	and	and	CCONJ
fis-2233	428	8	mechanical	mechanical	ADJ
fis-2233	428	9	systems	system	NOUN
fis-2233	428	10	,	,	PUNCT
fis-2233	428	11	elsevier	elsevier	PROPN
fis-2233	428	12	,	,	PUNCT
fis-2233	428	13	usa	usa	PROPN
fis-2233	428	14	.	.	PUNCT
fis-2233	429	1	[	[	X
fis-2233	429	2	22	22	NUM
fis-2233	429	3	]	]	X
fis-2233	429	4	garbow	garbow	NOUN
fis-2233	429	5	,	,	PUNCT
fis-2233	429	6	b.s	b.s	PROPN
fis-2233	429	7	.	.	PROPN
fis-2233	429	8	(	(	PUNCT
fis-2233	429	9	1974	1974	NUM
fis-2233	429	10	)	)	PUNCT
fis-2233	429	11	.	.	PUNCT
fis-2233	430	1	eispack	eispack	NOUN
fis-2233	430	2	–	–	PUNCT
fis-2233	430	3	a	a	DET
fis-2233	430	4	package	package	NOUN
fis-2233	430	5	of	of	ADP
fis-2233	430	6	matrix	matrix	NOUN
fis-2233	430	7	eigensystem	eigensystem	NOUN
fis-2233	430	8	routines	routine	NOUN
fis-2233	430	9	,	,	PUNCT
fis-2233	430	10	comput	comput	NOUN
fis-2233	430	11	.	.	PUNCT
fis-2233	431	1	phys	phy	NOUN
fis-2233	431	2	.	.	PUNCT
fis-2233	432	1	commun	commun	PROPN
fis-2233	432	2	.	.	PROPN
fis-2233	432	3	,	,	PUNCT
fis-2233	432	4	7(4	7(4	NUM
fis-2233	432	5	)	)	PUNCT
fis-2233	432	6	,	,	PUNCT
fis-2233	432	7	pp	pp	ADP
fis-2233	432	8	.	.	PUNCT
fis-2233	433	1	179	179	NUM
fis-2233	433	2	–	–	PUNCT
fis-2233	433	3	184	184	NUM
fis-2233	433	4	.	.	PUNCT
fis-2233	433	5	doi	doi	NOUN
fis-2233	433	6	:	:	PUNCT
fis-2233	434	1	10.1016/0010	10.1016/0010	NUM
fis-2233	434	2	-	-	SYM
fis-2233	434	3	4655(74)90086	4655(74)90086	NUM
fis-2233	434	4	-	-	SYM
fis-2233	434	5	1	1	NUM
fis-2233	434	6	[	[	X
fis-2233	434	7	23	23	NUM
fis-2233	434	8	]	]	X
fis-2233	434	9	smith	smith	PROPN
fis-2233	434	10	,	,	PUNCT
fis-2233	434	11	b.t	b.t	PROPN
fis-2233	434	12	.	.	PROPN
fis-2233	434	13	,	,	PUNCT
fis-2233	434	14	boyle	boyle	PROPN
fis-2233	434	15	,	,	PUNCT
fis-2233	434	16	j.m	j.m	PROPN
fis-2233	434	17	.	.	PROPN
fis-2233	434	18	,	,	PUNCT
fis-2233	434	19	garbow	garbow	NOUN
fis-2233	434	20	,	,	PUNCT
fis-2233	434	21	b.s	b.s	PROPN
fis-2233	434	22	.	.	PROPN
fis-2233	434	23	,	,	PUNCT
fis-2233	434	24	ikebe	ikebe	NOUN
fis-2233	434	25	,	,	PUNCT
fis-2233	434	26	y.	y.	NOUN
fis-2233	434	27	,	,	PUNCT
fis-2233	434	28	moler	moler	PROPN
fis-2233	434	29	,	,	PUNCT
fis-2233	434	30	c.b	c.b	PROPN
fis-2233	434	31	.	.	PROPN
fis-2233	434	32	(	(	PUNCT
fis-2233	434	33	1974	1974	NUM
fis-2233	434	34	)	)	PUNCT
fis-2233	434	35	.	.	PUNCT
fis-2233	435	1	matrix	matrix	NOUN
fis-2233	435	2	eigensystem	eigensystem	NOUN
fis-2233	435	3	routines	routine	NOUN
fis-2233	435	4	–	–	PUNCT
fis-2233	435	5	eispack	eispack	NOUN
fis-2233	435	6	guide	guide	NOUN
fis-2233	435	7	,	,	PUNCT
fis-2233	435	8	2nd	2nd	ADJ
fis-2233	435	9	ed	ed	NOUN
fis-2233	435	10	.	.	PUNCT
fis-2233	435	11	,	,	PUNCT
fis-2233	435	12	lecture	lecture	NOUN
fis-2233	435	13	notes	note	NOUN
fis-2233	435	14	in	in	ADP
fis-2233	435	15	computer	computer	NOUN
fis-2233	435	16	science	science	NOUN
fis-2233	435	17	,	,	PUNCT
fis-2233	435	18	springer	springer	NOUN
fis-2233	435	19	,	,	PUNCT
fis-2233	435	20	berlin	berlin	PROPN
fis-2233	435	21	.	.	PUNCT
fis-2233	436	1	doi	doi	PROPN
fis-2233	436	2	:	:	PUNCT
fis-2233	436	3	10.1007/3	10.1007/3	NUM
fis-2233	436	4	-	-	PUNCT
fis-2233	436	5	540	540	NUM
fis-2233	436	6	-	-	PUNCT
fis-2233	436	7	07546	07546	NUM
fis-2233	436	8	-	-	SYM
fis-2233	436	9	1	1	NUM
fis-2233	437	1	[	[	X
fis-2233	437	2	24	24	NUM
fis-2233	437	3	]	]	X
fis-2233	437	4	martin	martin	PROPN
fis-2233	437	5	,	,	PUNCT
fis-2233	437	6	r.s	r.s	PROPN
fis-2233	437	7	.	.	PROPN
fis-2233	437	8	,	,	PUNCT
fis-2233	437	9	reinsch	reinsch	ADJ
fis-2233	437	10	,	,	PUNCT
fis-2233	437	11	c.	c.	NOUN
fis-2233	437	12	,	,	PUNCT
fis-2233	437	13	and	and	CCONJ
fis-2233	437	14	wilkinson	wilkinson	PROPN
fis-2233	437	15	,	,	PUNCT
fis-2233	437	16	j.h	j.h	PROPN
fis-2233	437	17	.	.	PROPN
fis-2233	437	18	(	(	PUNCT
fis-2233	437	19	1968	1968	NUM
fis-2233	437	20	)	)	PUNCT
fis-2233	437	21	.	.	PUNCT
fis-2233	438	1	householder	householder	PROPN
fis-2233	438	2	's	's	PART
fis-2233	438	3	tridiagonalization	tridiagonalization	NOUN
fis-2233	438	4	of	of	ADP
fis-2233	438	5	a	a	DET
fis-2233	438	6	symmetric	symmetric	ADJ
fis-2233	438	7	matrix	matrix	NOUN
fis-2233	438	8	,	,	PUNCT
fis-2233	438	9	num	num	PROPN
fis-2233	438	10	.	.	PROPN
fis-2233	438	11	math	math	NOUN
fis-2233	438	12	.	.	PUNCT
fis-2233	439	1	,	,	PUNCT
fis-2233	440	1	11	11	NUM
fis-2233	440	2	,	,	PUNCT
fis-2233	440	3	pp	pp	ADJ
fis-2233	440	4	.	.	PUNCT
fis-2233	441	1	181–195	181–195	NUM
fis-2233	441	2	.	.	PUNCT
fis-2233	442	1	(	(	PUNCT
fis-2233	442	2	reprinted	reprint	VERB
fis-2233	442	3	in	in	ADP
fis-2233	442	4	:	:	PUNCT
fis-2233	442	5	wilkinson	wilkinson	PROPN
fis-2233	442	6	,	,	PUNCT
fis-2233	442	7	j.h	j.h	PROPN
fis-2233	442	8	.	.	PROPN
fis-2233	442	9	,	,	PUNCT
fis-2233	442	10	reinsch	reinsch	ADJ
fis-2233	442	11	,	,	PUNCT
fis-2233	442	12	c.	c.	NOUN
fis-2233	442	13	(	(	PUNCT
fis-2233	442	14	1971	1971	NUM
fis-2233	442	15	)	)	PUNCT
fis-2233	442	16	.	.	PUNCT
fis-2233	443	1	handbook	handbook	NOUN
fis-2233	443	2	for	for	ADP
fis-2233	443	3	automatic	automatic	ADJ
fis-2233	443	4	computation	computation	NOUN
fis-2233	443	5	,	,	PUNCT
fis-2233	443	6	vol	vol	NOUN
fis-2233	443	7	.	.	PUNCT
fis-2233	443	8	ii	ii	PROPN
fis-2233	443	9	,	,	PUNCT
fis-2233	443	10	linear	linear	PROPN
fis-2233	443	11	algebra	algebra	PROPN
fis-2233	443	12	,	,	PUNCT
fis-2233	443	13	contribution	contribution	NOUN
fis-2233	443	14	ii/2	ii/2	PROPN
fis-2233	443	15	,	,	PUNCT
fis-2233	443	16	pp	pp	ADJ
fis-2233	443	17	.	.	PUNCT
fis-2233	444	1	212–226	212–226	NUM
fis-2233	444	2	,	,	PUNCT
fis-2233	444	3	springer	springer	NOUN
fis-2233	444	4	)	)	PUNCT
fis-2233	444	5	.	.	PUNCT
fis-2233	445	1	[	[	X
fis-2233	445	2	25	25	NUM
fis-2233	445	3	]	]	SYM
fis-2233	445	4	bowdler	bowdler	NOUN
fis-2233	445	5	,	,	PUNCT
fis-2233	445	6	h.	h.	PROPN
fis-2233	445	7	,	,	PUNCT
fis-2233	445	8	martin	martin	PROPN
fis-2233	445	9	,	,	PUNCT
fis-2233	445	10	r.s	r.s	PROPN
fis-2233	445	11	.	.	PROPN
fis-2233	445	12	,	,	PUNCT
fis-2233	445	13	reinsch	reinsch	ADJ
fis-2233	445	14	,	,	PUNCT
fis-2233	445	15	c.	c.	NOUN
fis-2233	445	16	,	,	PUNCT
fis-2233	445	17	and	and	CCONJ
fis-2233	445	18	wilkinson	wilkinson	PROPN
fis-2233	445	19	,	,	PUNCT
fis-2233	445	20	j.h	j.h	PROPN
fis-2233	445	21	.	.	PROPN
fis-2233	445	22	(	(	PUNCT
fis-2233	445	23	1968	1968	NUM
fis-2233	445	24	)	)	PUNCT
fis-2233	445	25	.	.	PUNCT
fis-2233	446	1	the	the	DET
fis-2233	446	2	qr	qr	NOUN
fis-2233	446	3	and	and	CCONJ
fis-2233	446	4	ql	ql	ADP
fis-2233	446	5	algorithms	algorithm	NOUN
fis-2233	446	6	for	for	ADP
fis-2233	446	7	symmetric	symmetric	ADJ
fis-2233	446	8	matrices	matrix	NOUN
fis-2233	446	9	,	,	PUNCT
fis-2233	446	10	num	num	PROPN
fis-2233	446	11	.	.	PROPN
fis-2233	446	12	math	math	NOUN
fis-2233	446	13	.	.	PUNCT
fis-2233	447	1	11	11	NUM
fis-2233	447	2	,	,	PUNCT
fis-2233	447	3	pp	pp	ADJ
fis-2233	447	4	.	.	PUNCT
fis-2233	448	1	293–306	293–306	NUM
fis-2233	448	2	.	.	PUNCT
fis-2233	449	1	(	(	PUNCT
fis-2233	449	2	reprinted	reprint	VERB
fis-2233	449	3	in	in	ADP
fis-2233	449	4	:	:	PUNCT
fis-2233	449	5	wilkinson	wilkinson	PROPN
fis-2233	449	6	,	,	PUNCT
fis-2233	449	7	j.h	j.h	PROPN
fis-2233	449	8	.	.	PROPN
fis-2233	449	9	,	,	PUNCT
fis-2233	449	10	reinsch	reinsch	ADJ
fis-2233	449	11	,	,	PUNCT
fis-2233	449	12	c.	c.	NOUN
fis-2233	449	13	(	(	PUNCT
fis-2233	449	14	1971	1971	NUM
fis-2233	449	15	)	)	PUNCT
fis-2233	449	16	.	.	PUNCT
fis-2233	450	1	handbook	handbook	NOUN
fis-2233	450	2	for	for	ADP
fis-2233	450	3	automatic	automatic	ADJ
fis-2233	450	4	computation	computation	NOUN
fis-2233	450	5	,	,	PUNCT
fis-2233	450	6	vol	vol	NOUN
fis-2233	450	7	.	.	PUNCT
fis-2233	450	8	ii	ii	PROPN
fis-2233	450	9	,	,	PUNCT
fis-2233	450	10	linear	linear	PROPN
fis-2233	450	11	algebra	algebra	PROPN
fis-2233	450	12	,	,	PUNCT
fis-2233	450	13	contribution	contribution	NOUN
fis-2233	450	14	ii/3	ii/3	PROPN
fis-2233	450	15	,	,	PUNCT
fis-2233	450	16	pp	pp	ADP
fis-2233	450	17	.	.	PUNCT
fis-2233	451	1	227–240	227–240	NUM
fis-2233	451	2	,	,	PUNCT
fis-2233	451	3	springer	springer	NOUN
fis-2233	451	4	)	)	PUNCT
fis-2233	451	5	.	.	PUNCT
fis-2233	452	1	[	[	X
fis-2233	452	2	26	26	NUM
fis-2233	452	3	]	]	X
fis-2233	452	4	abramowitz	abramowitz	PROPN
fis-2233	452	5	,	,	PUNCT
fis-2233	452	6	m.	m.	NOUN
fis-2233	452	7	,	,	PUNCT
fis-2233	452	8	stegun	stegun	NOUN
fis-2233	452	9	,	,	PUNCT
fis-2233	452	10	i.a	i.a	PROPN
fis-2233	452	11	.	.	PROPN
fis-2233	452	12	(	(	PUNCT
fis-2233	452	13	1965	1965	NUM
fis-2233	452	14	)	)	PUNCT
fis-2233	452	15	.	.	PUNCT
fis-2233	453	1	handbook	handbook	NOUN
fis-2233	453	2	of	of	ADP
fis-2233	453	3	mathematical	mathematical	ADJ
fis-2233	453	4	functions	function	NOUN
fis-2233	453	5	,	,	PUNCT
fis-2233	453	6	with	with	ADP
fis-2233	453	7	formulas	formula	NOUN
fis-2233	453	8	,	,	PUNCT
fis-2233	453	9	graphs	graph	NOUN
fis-2233	453	10	,	,	PUNCT
fis-2233	453	11	and	and	CCONJ
fis-2233	453	12	mathematical	mathematical	ADJ
fis-2233	453	13	tables	table	NOUN
fis-2233	453	14	,	,	PUNCT
fis-2233	453	15	tenth	tenth	ADJ
fis-2233	453	16	ed	ed	NOUN
fis-2233	453	17	.	.	PROPN
fis-2233	453	18	,	,	PUNCT
fis-2233	453	19	dover	dover	PROPN
fis-2233	453	20	.	.	PUNCT
fis-2233	453	21	appendix	appendix	VERB
fis-2233	453	22	a	a	DET
fis-2233	453	23	–	–	PUNCT
fis-2233	453	24	spectral	spectral	ADJ
fis-2233	453	25	description	description	NOUN
fis-2233	453	26	of	of	ADP
fis-2233	453	27	uniaxial	uniaxial	ADJ
fis-2233	453	28	and	and	CCONJ
fis-2233	453	29	multiaxial	multiaxial	ADJ
fis-2233	453	30	random	random	ADJ
fis-2233	453	31	stress	stress	NOUN
fis-2233	453	32	d.	d.	PROPN
fis-2233	453	33	benasciutti	benasciutti	PROPN
fis-2233	453	34	et	et	PROPN
fis-2233	453	35	alii	alii	PROPN
fis-2233	453	36	,	,	PUNCT
fis-2233	453	37	frattura	frattura	PROPN
fis-2233	453	38	ed	ed	PROPN
fis-2233	453	39	integrità	integrità	PROPN
fis-2233	453	40	strutturale	strutturale	PROPN
fis-2233	453	41	,	,	PUNCT
fis-2233	453	42	47	47	NUM
fis-2233	453	43	(	(	PUNCT
fis-2233	453	44	2019	2019	NUM
fis-2233	453	45	)	)	PUNCT
fis-2233	453	46	348	348	NUM
fis-2233	453	47	-	-	SYM
fis-2233	453	48	366	366	NUM
fis-2233	453	49	;	;	PUNCT
fis-2233	453	50	doi	doi	NOUN
fis-2233	453	51	:	:	PUNCT
fis-2233	453	52	10.3221	10.3221	NUM
fis-2233	453	53	/	/	SYM
fis-2233	453	54	igf	igf	PROPN
fis-2233	453	55	-	-	ADJ
fis-2233	453	56	esis.47.26	esis.47.26	ADJ
fis-2233	453	57	363	363	NUM
fis-2233	453	58	let	let	VERB
fis-2233	453	59	x(t	x(t	PROPN
fis-2233	453	60	)	)	PUNCT
fis-2233	453	61	be	be	AUX
fis-2233	453	62	a	a	DET
fis-2233	453	63	zero	zero	NUM
fis-2233	453	64	-	-	PUNCT
fis-2233	453	65	mean	mean	NOUN
fis-2233	453	66	uniaxial	uniaxial	ADJ
fis-2233	453	67	random	random	ADJ
fis-2233	453	68	stress	stress	NOUN
fis-2233	453	69	.	.	PUNCT
fis-2233	454	1	it	it	PRON
fis-2233	454	2	is	be	AUX
fis-2233	454	3	characterized	characterize	VERB
fis-2233	454	4	,	,	PUNCT
fis-2233	454	5	in	in	ADP
fis-2233	454	6	time	time	NOUN
fis-2233	454	7	-	-	PUNCT
fis-2233	454	8	domain	domain	NOUN
fis-2233	454	9	,	,	PUNCT
fis-2233	454	10	by	by	ADP
fis-2233	454	11	the	the	DET
fis-2233	454	12	autocorrelation	autocorrelation	NOUN
fis-2233	454	13	function	function	NOUN
fis-2233	454	14	r()=e[x(t)·x(t+	r()=e[x(t)·x(t+	PROPN
fis-2233	454	15	)	)	PUNCT
fis-2233	454	16	]	]	PUNCT
fis-2233	455	1	(	(	PUNCT
fis-2233	455	2			NUM
fis-2233	455	3	is	be	AUX
fis-2233	455	4	a	a	DET
fis-2233	455	5	time	time	NOUN
fis-2233	455	6	lag	lag	NOUN
fis-2233	455	7	)	)	PUNCT
fis-2233	455	8	and	and	CCONJ
fis-2233	455	9	,	,	PUNCT
fis-2233	455	10	in	in	ADP
fis-2233	455	11	frequency	frequency	NOUN
fis-2233	455	12	-	-	PUNCT
fis-2233	455	13	domain	domain	NOUN
fis-2233	455	14	,	,	PUNCT
fis-2233	455	15	by	by	ADP
fis-2233	455	16	a	a	DET
fis-2233	455	17	two	two	NUM
fis-2233	455	18	-	-	PUNCT
fis-2233	455	19	sided	side	VERB
fis-2233	455	20	power	power	NOUN
fis-2233	455	21	spectral	spectral	ADJ
fis-2233	455	22	density	density	NOUN
fis-2233	455	23	(	(	PUNCT
fis-2233	455	24	psd	psd	NOUN
fis-2233	455	25	)	)	PUNCT
fis-2233	455	26	function	function	NOUN
fis-2233	455	27	s(f	s(f	PROPN
fis-2233	455	28	)	)	PUNCT
fis-2233	455	29	,	,	PUNCT
fis-2233	455	30	∞<f<∞.	∞<f<∞.	PROPN
fis-2233	455	31	both	both	DET
fis-2233	455	32	functions	function	NOUN
fis-2233	455	33	constitute	constitute	VERB
fis-2233	455	34	a	a	DET
fis-2233	455	35	fourier	fourier	NOUN
fis-2233	455	36	transform	transform	NOUN
fis-2233	455	37	pair	pair	NOUN
fis-2233	455	38	(	(	PUNCT
fis-2233	455	39	wiener	wiener	NOUN
fis-2233	455	40	–	–	PUNCT
fis-2233	455	41	khintchine	khintchine	NOUN
fis-2233	455	42	relations	relation	NOUN
fis-2233	455	43	)	)	PUNCT
fis-2233	456	1	[	[	X
fis-2233	456	2	20	20	NUM
fis-2233	456	3	]	]	PUNCT
fis-2233	456	4	:	:	PUNCT
fis-2233	456	5			PROPN
fis-2233	456	6			VERB
fis-2233	456	7			NOUN
fis-2233	456	8			ADJ
fis-2233	456	9			NOUN
fis-2233	456	10			PROPN
fis-2233	456	11			ADJ
fis-2233	456	12			PROPN
fis-2233	456	13			PROPN
fis-2233	456	14	fefsrerfs	fefsrerfs	PROPN
fis-2233	456	15	fifi	fifi	PROPN
fis-2233	456	16	d)()(d	d)()(d	PROPN
fis-2233	456	17	)	)	PUNCT
fis-2233	456	18	(	(	PUNCT
fis-2233	456	19	)	)	PUNCT
fis-2233	456	20	(	(	PUNCT
fis-2233	456	21	22	22	NUM
fis-2233	456	22			ADJ
fis-2233	456	23			NOUN
fis-2233	456	24	(	(	PUNCT
fis-2233	456	25	18	18	NUM
fis-2233	456	26	)	)	PUNCT
fis-2233	456	27	in	in	ADP
fis-2233	456	28	practical	practical	ADJ
fis-2233	456	29	applications	application	NOUN
fis-2233	456	30	,	,	PUNCT
fis-2233	456	31	where	where	SCONJ
fis-2233	456	32	negative	negative	ADJ
fis-2233	456	33	frequencies	frequency	NOUN
fis-2233	456	34	have	have	VERB
fis-2233	456	35	no	no	DET
fis-2233	456	36	direct	direct	ADJ
fis-2233	456	37	physical	physical	ADJ
fis-2233	456	38	meaning	meaning	NOUN
fis-2233	456	39	,	,	PUNCT
fis-2233	456	40	the	the	DET
fis-2233	456	41	two	two	NUM
fis-2233	456	42	-	-	PUNCT
fis-2233	456	43	sided	sided	ADJ
fis-2233	456	44	spectrum	spectrum	NOUN
fis-2233	456	45	s(f	s(f	PROPN
fis-2233	456	46	)	)	PUNCT
fis-2233	456	47	is	be	AUX
fis-2233	456	48	replaced	replace	VERB
fis-2233	456	49	by	by	ADP
fis-2233	456	50	a	a	DET
fis-2233	456	51	one	one	NUM
fis-2233	456	52	-	-	PUNCT
fis-2233	456	53	sided	sided	ADJ
fis-2233	456	54	spectrum	spectrum	NOUN
fis-2233	456	55	limited	limit	VERB
fis-2233	456	56	to	to	ADP
fis-2233	456	57	positive	positive	ADJ
fis-2233	456	58	frequencies	frequency	NOUN
fis-2233	456	59	only	only	ADV
fis-2233	456	60	,	,	PUNCT
fis-2233	456	61	which	which	PRON
fis-2233	456	62	is	be	AUX
fis-2233	456	63	defined	define	VERB
fis-2233	456	64	as	as	ADP
fis-2233	456	65	g(f)=2s(f	g(f)=2s(f	PROPN
fis-2233	456	66	)	)	PUNCT
fis-2233	456	67	,	,	PUNCT
fis-2233	456	68	0	0	NUM
fis-2233	456	69	<	<	NOUN
fis-2233	456	70	f<∞	f<∞	NOUN
fis-2233	456	71	and	and	CCONJ
fis-2233	456	72	zero	zero	NUM
fis-2233	456	73	elsewhere	elsewhere	ADV
fis-2233	456	74	.	.	PUNCT
fis-2233	457	1	it	it	PRON
fis-2233	457	2	is	be	AUX
fis-2233	457	3	customary	customary	ADJ
fis-2233	457	4	to	to	PART
fis-2233	457	5	describe	describe	VERB
fis-2233	457	6	s(f	s(f	PROPN
fis-2233	457	7	)	)	PUNCT
fis-2233	457	8	or	or	CCONJ
fis-2233	457	9	g(f	g(f	PROPN
fis-2233	457	10	)	)	PUNCT
fis-2233	457	11	by	by	ADP
fis-2233	457	12	the	the	DET
fis-2233	457	13	set	set	NOUN
fis-2233	457	14	of	of	ADP
fis-2233	457	15	spectral	spectral	ADJ
fis-2233	457	16	moments	moment	NOUN
fis-2233	458	1	[	[	X
fis-2233	458	2	21	21	NUM
fis-2233	458	3	]	]	X
fis-2233	458	4	:	:	PUNCT
fis-2233	458	5	...	...	PUNCT
fis-2233	458	6	,	,	PUNCT
fis-2233	458	7	2,1,0d)(d	2,1,0d)(d	NUM
fis-2233	458	8	)	)	PUNCT
fis-2233	458	9	(	(	PUNCT
fis-2233	458	10	0	0	NUM
fis-2233	458	11			NUM
fis-2233	458	12			VERB
fis-2233	458	13			ADJ
fis-2233	458	14			NOUN
fis-2233	458	15			NOUN
fis-2233	458	16	nffgfffsf	nffgfffsf	ADJ
fis-2233	458	17	nn	nn	X
fis-2233	459	1	n	n	PROPN
fis-2233	459	2	(	(	PUNCT
fis-2233	459	3	19	19	NUM
fis-2233	459	4	)	)	PUNCT
fis-2233	459	5	eqn	eqn	NOUN
fis-2233	459	6	.	.	PUNCT
fis-2233	460	1	(	(	PUNCT
fis-2233	460	2	19	19	NUM
fis-2233	460	3	)	)	PUNCT
fis-2233	460	4	shows	show	VERB
fis-2233	460	5	that	that	SCONJ
fis-2233	460	6	the	the	DET
fis-2233	460	7	variance	variance	NOUN
fis-2233	460	8	of	of	ADP
fis-2233	460	9	x(t	x(t	PROPN
fis-2233	460	10	)	)	PUNCT
fis-2233	460	11	is	be	AUX
fis-2233	460	12	the	the	DET
fis-2233	460	13	zero	zero	NUM
fis-2233	460	14	-	-	PUNCT
fis-2233	460	15	order	order	NOUN
fis-2233	460	16	moment	moment	NOUN
fis-2233	460	17	var(x(t))=r(0)=λ0	var(x(t))=r(0)=λ0	NOUN
fis-2233	460	18	,	,	PUNCT
fis-2233	460	19	which	which	PRON
fis-2233	460	20	corresponds	correspond	VERB
fis-2233	460	21	to	to	ADP
fis-2233	460	22	the	the	DET
fis-2233	460	23	area	area	NOUN
fis-2233	460	24	of	of	ADP
fis-2233	460	25	g(f	g(f	PROPN
fis-2233	460	26	)	)	PUNCT
fis-2233	460	27	.	.	PUNCT
fis-2233	461	1	if	if	SCONJ
fis-2233	461	2	x(t	x(t	PROPN
fis-2233	461	3	)	)	PUNCT
fis-2233	461	4	is	be	AUX
fis-2233	461	5	gaussian	gaussian	ADJ
fis-2233	461	6	,	,	PUNCT
fis-2233	461	7	the	the	DET
fis-2233	461	8	frequency	frequency	NOUN
fis-2233	461	9	of	of	ADP
fis-2233	461	10	zero	zero	NUM
fis-2233	461	11	up	up	ADJ
fis-2233	461	12	-	-	PUNCT
fis-2233	461	13	crossings	crossing	NOUN
fis-2233	461	14	,	,	PUNCT
fis-2233	461	15	ν0	ν0	PROPN
fis-2233	461	16	,	,	PUNCT
fis-2233	461	17	and	and	CCONJ
fis-2233	461	18	the	the	DET
fis-2233	461	19	frequency	frequency	NOUN
fis-2233	461	20	of	of	ADP
fis-2233	461	21	peaks	peak	NOUN
fis-2233	461	22	,	,	PUNCT
fis-2233	461	23	ν0	ν0	PROPN
fis-2233	461	24	,	,	PUNCT
fis-2233	461	25	are	be	AUX
fis-2233	461	26	[	[	X
fis-2233	461	27	21	21	NUM
fis-2233	461	28	]	]	SYM
fis-2233	461	29	:	:	PUNCT
fis-2233	461	30	2	2	NUM
fis-2233	461	31	4	4	NUM
fis-2233	461	32	p	p	NOUN
fis-2233	461	33	0	0	NUM
fis-2233	461	34	2	2	NUM
fis-2233	461	35	0	0	NUM
fis-2233	461	36	;	;	PUNCT
fis-2233	461	37			ADJ
fis-2233	461	38			PROPN
fis-2233	461	39			ADJ
fis-2233	461	40			NOUN
fis-2233	461	41			NUM
fis-2233	461	42	(	(	PUNCT
fis-2233	461	43	20	20	NUM
fis-2233	461	44	)	)	PUNCT
fis-2233	461	45	spectral	spectral	ADJ
fis-2233	461	46	moments	moment	NOUN
fis-2233	461	47	are	be	AUX
fis-2233	461	48	also	also	ADV
fis-2233	461	49	combined	combine	VERB
fis-2233	461	50	into	into	ADP
fis-2233	461	51	bandwidth	bandwidth	ADJ
fis-2233	461	52	parameters	parameter	NOUN
fis-2233	461	53	,	,	PUNCT
fis-2233	461	54	as	as	ADP
fis-2233	461	55	for	for	ADP
fis-2233	461	56	example	example	NOUN
fis-2233	461	57	[	[	X
fis-2233	461	58	21	21	NUM
fis-2233	461	59	]	]	X
fis-2233	461	60	:	:	PUNCT
fis-2233	461	61	40	40	NUM
fis-2233	461	62	2	2	NUM
fis-2233	461	63	2	2	NUM
fis-2233	461	64	20	20	NUM
fis-2233	461	65	1	1	NUM
fis-2233	461	66	1	1	NUM
fis-2233	461	67	,	,	PUNCT
fis-2233	461	68			VERB
fis-2233	461	69			ADJ
fis-2233	461	70			NOUN
fis-2233	461	71			NOUN
fis-2233	461	72			ADJ
fis-2233	461	73			NOUN
fis-2233	461	74			NUM
fis-2233	461	75	(	(	PUNCT
fis-2233	461	76	21	21	NUM
fis-2233	461	77	)	)	PUNCT
fis-2233	461	78	where	where	SCONJ
fis-2233	461	79	0≤αm≤1	0≤αm≤1	NUM
fis-2233	461	80	and	and	CCONJ
fis-2233	461	81	α1≥α2	α1≥α2	PROPN
fis-2233	461	82	.	.	NOUN
fis-2233	461	83	bandwidth	bandwidth	ADJ
fis-2233	461	84	parameters	parameter	NOUN
fis-2233	461	85	summarize	summarize	VERB
fis-2233	461	86	the	the	DET
fis-2233	461	87	shape	shape	NOUN
fis-2233	461	88	of	of	ADP
fis-2233	461	89	a	a	DET
fis-2233	461	90	psd	psd	NOUN
fis-2233	461	91	.	.	PUNCT
fis-2233	462	1	two	two	NUM
fis-2233	462	2	limiting	limit	VERB
fis-2233	462	3	cases	case	NOUN
fis-2233	462	4	exist	exist	VERB
fis-2233	462	5	:	:	PUNCT
fis-2233	462	6	a	a	DET
fis-2233	462	7	narrow	narrow	ADJ
fis-2233	462	8	-	-	PUNCT
fis-2233	462	9	band	band	NOUN
fis-2233	462	10	psd	psd	NOUN
fis-2233	462	11	with	with	ADP
fis-2233	462	12	α1→1	α1→1	PROPN
fis-2233	462	13	,	,	PUNCT
fis-2233	462	14	α2→1	α2→1	NOUN
fis-2233	462	15	,	,	PUNCT
fis-2233	462	16	a	a	DET
fis-2233	462	17	wide	wide	ADJ
fis-2233	462	18	-	-	PUNCT
fis-2233	462	19	band	band	NOUN
fis-2233	462	20	psd	psd	NOUN
fis-2233	462	21	with	with	ADP
fis-2233	462	22	α1<1	α1<1	PROPN
fis-2233	462	23	,	,	PUNCT
fis-2233	462	24	α2<1	α2<1	PROPN
fis-2233	462	25	.	.	PUNCT
fis-2233	463	1	the	the	DET
fis-2233	463	2	quantities	quantity	NOUN
fis-2233	463	3	in	in	ADP
fis-2233	463	4	eq	eq	ADP
fis-2233	463	5	.	.	PUNCT
fis-2233	464	1	(	(	PUNCT
fis-2233	464	2	19)-(21	19)-(21	ADV
fis-2233	464	3	)	)	PUNCT
fis-2233	464	4	enter	enter	VERB
fis-2233	464	5	the	the	DET
fis-2233	464	6	analytical	analytical	ADJ
fis-2233	464	7	expressions	expression	NOUN
fis-2233	464	8	used	use	VERB
fis-2233	464	9	by	by	ADP
fis-2233	464	10	spectral	spectral	ADJ
fis-2233	464	11	methods	method	NOUN
fis-2233	464	12	for	for	ADP
fis-2233	464	13	estimating	estimate	VERB
fis-2233	464	14	the	the	DET
fis-2233	464	15	fatigue	fatigue	NOUN
fis-2233	464	16	damage	damage	NOUN
fis-2233	464	17	.	.	PUNCT
fis-2233	465	1	the	the	DET
fis-2233	465	2	previous	previous	ADJ
fis-2233	465	3	definitions	definition	NOUN
fis-2233	465	4	can	can	AUX
fis-2233	465	5	be	be	AUX
fis-2233	465	6	generalized	generalize	VERB
fis-2233	465	7	to	to	ADP
fis-2233	465	8	a	a	DET
fis-2233	465	9	biaxial	biaxial	NOUN
fis-2233	465	10	stress	stress	NOUN
fis-2233	465	11	x(t)=(σx(t	x(t)=(σx(t	NOUN
fis-2233	465	12	)	)	PUNCT
fis-2233	465	13	,	,	PUNCT
fis-2233	465	14	σy(t	σy(t	PROPN
fis-2233	465	15	)	)	PUNCT
fis-2233	465	16	,	,	PUNCT
fis-2233	465	17	τxy(t	τxy(t	PROPN
fis-2233	465	18	)	)	PUNCT
fis-2233	465	19	)	)	PUNCT
fis-2233	465	20	.	.	PUNCT
fis-2233	466	1	by	by	ADP
fis-2233	466	2	analogy	analogy	NOUN
fis-2233	466	3	with	with	ADP
fis-2233	466	4	eq	eq	NOUN
fis-2233	466	5	.	.	PUNCT
fis-2233	467	1	(	(	PUNCT
fis-2233	467	2	18	18	NUM
fis-2233	467	3	)	)	PUNCT
fis-2233	467	4	,	,	PUNCT
fis-2233	467	5	x(t	x(t	PROPN
fis-2233	467	6	)	)	PUNCT
fis-2233	467	7	is	be	AUX
fis-2233	467	8	characterized	characterize	VERB
fis-2233	467	9	in	in	ADP
fis-2233	467	10	time	time	NOUN
fis-2233	467	11	-	-	PUNCT
fis-2233	467	12	domain	domain	NOUN
fis-2233	467	13	by	by	ADP
fis-2233	467	14	a	a	DET
fis-2233	467	15	correlation	correlation	NOUN
fis-2233	467	16	matrix	matrix	NOUN
fis-2233	467	17	r()=e[x(t)·x(t+	r()=e[x(t)·x(t+	NOUN
fis-2233	467	18	)	)	PUNCT
fis-2233	467	19	]	]	PUNCT
fis-2233	467	20	and	and	CCONJ
fis-2233	467	21	in	in	ADP
fis-2233	467	22	frequency	frequency	NOUN
fis-2233	467	23	-	-	PUNCT
fis-2233	467	24	domain	domain	NOUN
fis-2233	467	25	by	by	ADP
fis-2233	467	26	a	a	DET
fis-2233	467	27	psd	psd	NOUN
fis-2233	467	28	matrix	matrix	NOUN
fis-2233	467	29	,	,	PUNCT
fis-2233	467	30	which	which	PRON
fis-2233	467	31	are	be	AUX
fis-2233	467	32	a	a	DET
fis-2233	467	33	fourier	fourier	NOUN
fis-2233	467	34	transform	transform	NOUN
fis-2233	467	35	pair	pair	NOUN
fis-2233	467	36	:	:	PUNCT
fis-2233	467	37			PROPN
fis-2233	467	38			VERB
fis-2233	468	1			NOUN
fis-2233	468	2			ADJ
fis-2233	468	3			NOUN
fis-2233	468	4			PROPN
fis-2233	468	5			ADJ
fis-2233	468	6			PROPN
fis-2233	468	7			PROPN
fis-2233	468	8	fefef	fefef	PROPN
fis-2233	468	9	fifi	fifi	PROPN
fis-2233	468	10	d)()(d	d)()(d	PROPN
fis-2233	468	11	)	)	PUNCT
fis-2233	468	12	(	(	PUNCT
fis-2233	468	13	)	)	PUNCT
fis-2233	468	14	(	(	PUNCT
fis-2233	468	15	22	22	NUM
fis-2233	468	16			ADJ
fis-2233	468	17			ADJ
fis-2233	468	18	srrs	srrs	NOUN
fis-2233	468	19	(	(	PUNCT
fis-2233	468	20	22	22	NUM
fis-2233	468	21	)	)	PUNCT
fis-2233	468	22	in	in	ADP
fis-2233	468	23	(	(	PUNCT
fis-2233	468	24	22	22	NUM
fis-2233	468	25	)	)	PUNCT
fis-2233	468	26	,	,	PUNCT
fis-2233	468	27	rii()=e[xi(t)·xi(t+	rii()=e[xi(t)·xi(t+	NOUN
fis-2233	468	28	)	)	PUNCT
fis-2233	468	29	]	]	PUNCT
fis-2233	468	30	(	(	PUNCT
fis-2233	468	31	i=1	i=1	X
fis-2233	468	32	,	,	PUNCT
fis-2233	468	33	2	2	NUM
fis-2233	468	34	,	,	PUNCT
fis-2233	468	35	3	3	NUM
fis-2233	468	36	)	)	PUNCT
fis-2233	468	37	is	be	AUX
fis-2233	468	38	the	the	DET
fis-2233	468	39	auto	auto	NOUN
fis-2233	468	40	-	-	PUNCT
fis-2233	468	41	correlation	correlation	NOUN
fis-2233	468	42	function	function	NOUN
fis-2233	468	43	of	of	ADP
fis-2233	468	44	xi(t	xi(t	NOUN
fis-2233	468	45	)	)	PUNCT
fis-2233	468	46	(	(	PUNCT
fis-2233	468	47	i=1	i=1	X
fis-2233	468	48	,	,	PUNCT
fis-2233	468	49	2	2	NUM
fis-2233	468	50	,	,	PUNCT
fis-2233	468	51	3	3	NUM
fis-2233	468	52	)	)	PUNCT
fis-2233	468	53	and	and	CCONJ
fis-2233	468	54	rij()=e[xi(t)·xj(t+	rij()=e[xi(t)·xj(t+	PROPN
fis-2233	468	55	)	)	PUNCT
fis-2233	468	56	]	]	PUNCT
fis-2233	468	57	(	(	PUNCT
fis-2233	468	58	i≠j	i≠j	NOUN
fis-2233	468	59	)	)	PUNCT
fis-2233	469	1	is	be	AUX
fis-2233	469	2	the	the	DET
fis-2233	469	3	cross	cross	ADJ
fis-2233	469	4	-	-	ADJ
fis-2233	469	5	correlation	correlation	ADJ
fis-2233	469	6	functions	function	NOUN
fis-2233	469	7	between	between	ADP
fis-2233	469	8	xi(t	xi(t	NOUN
fis-2233	469	9	)	)	PUNCT
fis-2233	469	10	and	and	CCONJ
fis-2233	469	11	xj(t	xj(t	NUM
fis-2233	469	12	)	)	PUNCT
fis-2233	469	13	.	.	PUNCT
fis-2233	470	1	in	in	ADP
fis-2233	470	2	general	general	ADJ
fis-2233	470	3	rji()≠rij(	rji()≠rij(	PROPN
fis-2233	470	4	)	)	PUNCT
fis-2233	470	5	.	.	PUNCT
fis-2233	471	1	the	the	DET
fis-2233	471	2	psd	psd	PROPN
fis-2233	471	3	matrix	matrix	NOUN
fis-2233	471	4	takes	take	VERB
fis-2233	471	5	the	the	DET
fis-2233	471	6	form	form	NOUN
fis-2233	471	7	:	:	PUNCT
fis-2233	471	8			ADJ
fis-2233	471	9			PROPN
fis-2233	471	10			PROPN
fis-2233	471	11			PROPN
fis-2233	471	12			X
fis-2233	471	13			NOUN
fis-2233	471	14			NOUN
fis-2233	471	15			NOUN
fis-2233	471	16			VERB
fis-2233	471	17			PROPN
fis-2233	471	18			NOUN
fis-2233	471	19	)	)	PUNCT
fis-2233	471	20	(	(	PUNCT
fis-2233	471	21	)	)	PUNCT
fis-2233	471	22	(	(	PUNCT
fis-2233	471	23	)	)	PUNCT
fis-2233	471	24	(	(	PUNCT
fis-2233	471	25	)	)	PUNCT
fis-2233	471	26	(	(	PUNCT
fis-2233	471	27	)	)	PUNCT
fis-2233	471	28	(	(	PUNCT
fis-2233	471	29	)	)	PUNCT
fis-2233	471	30	(	(	PUNCT
fis-2233	471	31	)	)	PUNCT
fis-2233	471	32	(	(	PUNCT
fis-2233	471	33	)	)	PUNCT
fis-2233	471	34	(	(	PUNCT
fis-2233	471	35	)	)	PUNCT
fis-2233	471	36	(	(	PUNCT
fis-2233	471	37	)	)	PUNCT
fis-2233	471	38	(	(	PUNCT
fis-2233	471	39	*	*	PUNCT
fis-2233	471	40	,	,	PUNCT
fis-2233	471	41	*	*	PUNCT
fis-2233	471	42	,	,	PUNCT
fis-2233	471	43	,	,	PUNCT
fis-2233	471	44	*	*	PUNCT
fis-2233	471	45	,	,	PUNCT
fis-2233	471	46	,	,	PUNCT
fis-2233	471	47	,	,	PUNCT
fis-2233	471	48	fsfsfs	fsfsfs	PROPN
fis-2233	471	49	fsfsfs	fsfsfs	PROPN
fis-2233	471	50	fsfsfs	fsfsfs	PROPN
fis-2233	471	51	f	f	PROPN
fis-2233	471	52	xyxyyyxyxx	xyxyyyxyxx	PROPN
fis-2233	471	53	xyyyyyyyxx	xyyyyyyyxx	PROPN
fis-2233	471	54	xyxxyyxxxx	xyxxyyxxxx	PROPN
fis-2233	471	55	s	s	X
fis-2233	471	56	(	(	PUNCT
fis-2233	471	57	23	23	NUM
fis-2233	471	58	)	)	PUNCT
fis-2233	471	59	diagonal	diagonal	ADJ
fis-2233	471	60	elements	element	NOUN
fis-2233	471	61	are	be	AUX
fis-2233	471	62	auto	auto	NOUN
fis-2233	471	63	-	-	PUNCT
fis-2233	471	64	psds	psds	NOUN
fis-2233	471	65	,	,	PUNCT
fis-2233	471	66	out	out	ADP
fis-2233	471	67	-	-	PUNCT
fis-2233	471	68	of	of	ADP
fis-2233	471	69	-	-	PUNCT
fis-2233	471	70	diagonal	diagonal	ADJ
fis-2233	471	71	elements	element	NOUN
fis-2233	471	72	are	be	AUX
fis-2233	471	73	cross	cross	ADJ
fis-2233	471	74	-	-	ADJ
fis-2233	471	75	psds	psds	ADJ
fis-2233	471	76	.	.	PUNCT
fis-2233	472	1	each	each	DET
fis-2233	472	2	auto	auto	NOUN
fis-2233	472	3	-	-	PUNCT
fis-2233	472	4	psd	psd	NOUN
fis-2233	472	5	shh(f	shh(f	NOUN
fis-2233	472	6	)	)	PUNCT
fis-2233	472	7	is	be	AUX
fis-2233	472	8	a	a	DET
fis-2233	472	9	non	non	ADJ
fis-2233	472	10	-	-	ADJ
fis-2233	472	11	negative	negative	ADJ
fis-2233	472	12	realvalued	realvalue	VERB
fis-2233	472	13	even	even	ADV
fis-2233	472	14	function	function	NOUN
fis-2233	472	15	of	of	ADP
fis-2233	472	16	f.	f.	PROPN
fis-2233	472	17	cross	cross	PROPN
fis-2233	472	18	-	-	ADJ
fis-2233	472	19	psds	psds	ADJ
fis-2233	472	20	are	be	AUX
fis-2233	472	21	complex	complex	ADV
fis-2233	472	22	-	-	PUNCT
fis-2233	472	23	valued	value	VERB
fis-2233	472	24	functions	function	NOUN
fis-2233	472	25	of	of	ADP
fis-2233	472	26	f	f	PROPN
fis-2233	472	27	and	and	CCONJ
fis-2233	472	28	can	can	AUX
fis-2233	472	29	be	be	AUX
fis-2233	472	30	written	write	VERB
fis-2233	472	31	as	as	ADP
fis-2233	472	32	)	)	PUNCT
fis-2233	472	33	(	(	PUNCT
fis-2233	472	34	)	)	PUNCT
fis-2233	472	35	(	(	PUNCT
fis-2233	472	36	)	)	PUNCT
fis-2233	472	37	(	(	PUNCT
fis-2233	472	38	fisfsfs	fisfsfs	PROPN
fis-2233	472	39	q	q	X
fis-2233	472	40	hk	hk	PROPN
fis-2233	472	41	c	c	PROPN
fis-2233	472	42	hkhk	hkhk	NOUN
fis-2233	472	43			ADV
fis-2233	472	44	,	,	PUNCT
fis-2233	472	45	where	where	SCONJ
fis-2233	472	46	i	i	PRON
fis-2233	472	47	is	be	AUX
fis-2233	472	48	the	the	DET
fis-2233	472	49	imaginary	imaginary	ADJ
fis-2233	472	50	unit	unit	NOUN
fis-2233	472	51	.	.	PUNCT
fis-2233	473	1	the	the	DET
fis-2233	473	2	real	real	ADJ
fis-2233	473	3	part	part	NOUN
fis-2233	473	4			PROPN
fis-2233	473	5	)(re	)(re	NOUN
fis-2233	473	6	)	)	PUNCT
fis-2233	473	7	(	(	PUNCT
fis-2233	473	8	fsfs	fsfs	PROPN
fis-2233	473	9	hk	hk	PROPN
fis-2233	474	1	c	c	PROPN
fis-2233	474	2	hk	hk	PROPN
fis-2233	475	1			PROPN
fis-2233	475	2	(	(	PUNCT
fis-2233	475	3	“	"	PUNCT
fis-2233	475	4	co	co	NOUN
fis-2233	475	5	-	-	NOUN
fis-2233	475	6	spectrum	spectrum	NOUN
fis-2233	475	7	”	"	PUNCT
fis-2233	475	8	)	)	PUNCT
fis-2233	475	9	is	be	AUX
fis-2233	475	10	a	a	DET
fis-2233	475	11	real	real	ADV
fis-2233	475	12	-	-	PUNCT
fis-2233	475	13	valued	value	VERB
fis-2233	475	14	even	even	ADV
fis-2233	475	15	function	function	NOUN
fis-2233	475	16	of	of	ADP
fis-2233	475	17	f	f	PROPN
fis-2233	475	18	,	,	PUNCT
fis-2233	475	19	the	the	DET
fis-2233	475	20	d.	d.	PROPN
fis-2233	475	21	benasciutti	benasciutti	PROPN
fis-2233	475	22	et	et	PROPN
fis-2233	475	23	alii	alii	PROPN
fis-2233	475	24	,	,	PUNCT
fis-2233	475	25	frattura	frattura	PROPN
fis-2233	475	26	ed	ed	PROPN
fis-2233	475	27	integrità	integrità	PROPN
fis-2233	475	28	strutturale	strutturale	PROPN
fis-2233	475	29	,	,	PUNCT
fis-2233	475	30	47	47	NUM
fis-2233	475	31	(	(	PUNCT
fis-2233	475	32	2019	2019	NUM
fis-2233	475	33	)	)	PUNCT
fis-2233	475	34	348	348	NUM
fis-2233	475	35	-	-	SYM
fis-2233	475	36	366	366	NUM
fis-2233	475	37	;	;	PUNCT
fis-2233	475	38	doi	doi	NOUN
fis-2233	475	39	:	:	PUNCT
fis-2233	475	40	10.3221	10.3221	NUM
fis-2233	475	41	/	/	SYM
fis-2233	475	42	igf	igf	PROPN
fis-2233	475	43	-	-	ADJ
fis-2233	475	44	esis.47.26	esis.47.26	ADJ
fis-2233	475	45	364	364	NUM
fis-2233	475	46	imaginary	imaginary	ADJ
fis-2233	475	47	part	part	NOUN
fis-2233	475	48			ADJ
fis-2233	475	49	)(im	)(im	NOUN
fis-2233	475	50	)	)	PUNCT
fis-2233	475	51	(	(	PUNCT
fis-2233	475	52	fsfs	fsfs	PROPN
fis-2233	475	53	hk	hk	PROPN
fis-2233	475	54	q	q	PROPN
fis-2233	475	55	hk	hk	PROPN
fis-2233	475	56			PROPN
fis-2233	475	57	(	(	PUNCT
fis-2233	475	58	“	"	PUNCT
fis-2233	475	59	quad	quad	ADJ
fis-2233	475	60	-	-	PUNCT
fis-2233	475	61	spectrum	spectrum	NOUN
fis-2233	475	62	”	"	PUNCT
fis-2233	475	63	)	)	PUNCT
fis-2233	475	64	is	be	AUX
fis-2233	475	65	a	a	DET
fis-2233	475	66	real	real	ADV
fis-2233	475	67	-	-	PUNCT
fis-2233	475	68	valued	value	VERB
fis-2233	475	69	odd	odd	ADJ
fis-2233	475	70	function	function	NOUN
fis-2233	475	71	of	of	ADP
fis-2233	475	72	f.	f.	PROPN
fis-2233	475	73	the	the	DET
fis-2233	475	74	cross	cross	NOUN
fis-2233	475	75	-	-	NOUN
fis-2233	475	76	psd	psd	ADJ
fis-2233	475	77	can	can	AUX
fis-2233	475	78	be	be	AUX
fis-2233	475	79	positive	positive	ADJ
fis-2233	475	80	or	or	CCONJ
fis-2233	475	81	negative	negative	ADJ
fis-2233	475	82	.	.	PUNCT
fis-2233	476	1	matrix	matrix	NOUN
fis-2233	476	2	s(f	s(f	PROPN
fis-2233	476	3	)	)	PUNCT
fis-2233	476	4	is	be	AUX
fis-2233	476	5	hermitian	hermitian	ADJ
fis-2233	476	6	because	because	SCONJ
fis-2233	476	7	)	)	PUNCT
fis-2233	476	8	(	(	PUNCT
fis-2233	476	9	)	)	PUNCT
fis-2233	476	10	(	(	PUNCT
fis-2233	476	11	fsfs	fsfs	PROPN
fis-2233	476	12	*	*	PUNCT
fis-2233	476	13	hkkh	hkkh	PROPN
fis-2233	476	14			INTJ
fis-2233	476	15	,	,	PUNCT
fis-2233	476	16	where	where	SCONJ
fis-2233	476	17	*	*	PUNCT
fis-2233	476	18	means	mean	VERB
fis-2233	476	19	complex	complex	ADJ
fis-2233	476	20	conjugate	conjugate	NOUN
fis-2233	476	21	.	.	PUNCT
fis-2233	477	1	finally	finally	ADV
fis-2233	477	2	,	,	PUNCT
fis-2233	477	3	the	the	DET
fis-2233	477	4	values	value	NOUN
fis-2233	477	5	of	of	ADP
fis-2233	477	6	the	the	DET
fis-2233	477	7	cross	cross	NOUN
fis-2233	477	8	-	-	ADJ
fis-2233	477	9	psd	psd	NOUN
fis-2233	477	10	are	be	AUX
fis-2233	477	11	also	also	ADV
fis-2233	477	12	bounded	bound	VERB
fis-2233	477	13	by	by	ADP
fis-2233	477	14	the	the	DET
fis-2233	477	15	schwartz	schwartz	NOUN
fis-2233	477	16	's	's	PART
fis-2233	477	17	inequality	inequality	NOUN
fis-2233	477	18	)	)	PUNCT
fis-2233	477	19	(	(	PUNCT
fis-2233	477	20	)	)	PUNCT
fis-2233	477	21	(	(	PUNCT
fis-2233	477	22	)	)	PUNCT
fis-2233	477	23	(	(	PUNCT
fis-2233	477	24	fsfsfs	fsfsfs	PROPN
fis-2233	477	25	kkhhhk	kkhhhk	PROPN
fis-2233	477	26			NOUN
fis-2233	477	27	,	,	PUNCT
fis-2233	477	28	which	which	PRON
fis-2233	477	29	implies	imply	VERB
fis-2233	477	30	that	that	SCONJ
fis-2233	477	31	shk(f	shk(f	NOUN
fis-2233	477	32	)	)	PUNCT
fis-2233	477	33	must	must	AUX
fis-2233	477	34	be	be	AUX
fis-2233	477	35	zero	zero	NUM
fis-2233	477	36	at	at	ADP
fis-2233	477	37	any	any	DET
fis-2233	477	38	frequency	frequency	NOUN
fis-2233	477	39	where	where	SCONJ
fis-2233	477	40	either	either	CCONJ
fis-2233	477	41	shh(f	shh(f	NOUN
fis-2233	477	42	)	)	PUNCT
fis-2233	477	43	or	or	CCONJ
fis-2233	477	44	skk(f	skk(f	NOUN
fis-2233	477	45	)	)	PUNCT
fis-2233	477	46	is	be	AUX
fis-2233	477	47	zero	zero	NUM
fis-2233	477	48	too	too	ADV
fis-2233	477	49	,	,	PUNCT
fis-2233	477	50	whereas	whereas	SCONJ
fis-2233	477	51	it	it	PRON
fis-2233	477	52	maximum	maximum	ADV
fis-2233	477	53	depends	depend	VERB
fis-2233	477	54	on	on	ADP
fis-2233	477	55	the	the	DET
fis-2233	477	56	values	value	NOUN
fis-2233	477	57	of	of	ADP
fis-2233	477	58	the	the	DET
fis-2233	477	59	auto	auto	NOUN
fis-2233	477	60	-	-	PUNCT
fis-2233	477	61	psds	psds	NOUN
fis-2233	477	62	.	.	PUNCT
fis-2233	478	1	also	also	ADV
fis-2233	478	2	in	in	ADP
fis-2233	478	3	the	the	DET
fis-2233	478	4	multiaxial	multiaxial	ADJ
fis-2233	478	5	case	case	NOUN
fis-2233	478	6	,	,	PUNCT
fis-2233	478	7	a	a	DET
fis-2233	478	8	one	one	NUM
fis-2233	478	9	-	-	PUNCT
fis-2233	478	10	sided	side	VERB
fis-2233	478	11	psd	psd	NOUN
fis-2233	478	12	matrix	matrix	NOUN
fis-2233	478	13	can	can	AUX
fis-2233	478	14	be	be	AUX
fis-2233	478	15	introduced	introduce	VERB
fis-2233	478	16	:	:	PUNCT
fis-2233	478	17	g(f)=2·s(f	g(f)=2·s(f	X
fis-2233	478	18	)	)	PUNCT
fis-2233	478	19	for	for	ADP
fis-2233	478	20	f>0	f>0	ADJ
fis-2233	478	21	,	,	PUNCT
fis-2233	478	22	zero	zero	NUM
fis-2233	478	23	elsewhere	elsewhere	ADV
fis-2233	478	24	.	.	PUNCT
fis-2233	479	1	similarly	similarly	ADV
fis-2233	479	2	to	to	ADP
fis-2233	479	3	eq	eq	PROPN
fis-2233	479	4	.	.	PUNCT
fis-2233	480	1	(	(	PUNCT
fis-2233	480	2	19	19	NUM
fis-2233	480	3	)	)	PUNCT
fis-2233	480	4	,	,	PUNCT
fis-2233	480	5	a	a	DET
fis-2233	480	6	matrix	matrix	NOUN
fis-2233	480	7	of	of	ADP
fis-2233	480	8	spectral	spectral	ADJ
fis-2233	480	9	moments	moment	NOUN
fis-2233	480	10	of	of	ADP
fis-2233	480	11	s(f	s(f	PROPN
fis-2233	480	12	)	)	PUNCT
fis-2233	480	13	is	be	AUX
fis-2233	480	14	defined	define	VERB
fis-2233	480	15	as	as	ADP
fis-2233	480	16	:	:	PUNCT
fis-2233	480	17	...	...	PUNCT
fis-2233	480	18	,	,	PUNCT
fis-2233	480	19	2,1,0d)(d	2,1,0d)(d	NUM
fis-2233	480	20	)	)	PUNCT
fis-2233	480	21	(	(	PUNCT
fis-2233	480	22	0	0	NUM
fis-2233	480	23			NUM
fis-2233	480	24			VERB
fis-2233	480	25			ADJ
fis-2233	480	26			NOUN
fis-2233	480	27			NOUN
fis-2233	480	28	nffffff	nffffff	PROPN
fis-2233	480	29	nn	nn	PROPN
fis-2233	481	1	n	n	PROPN
fis-2233	481	2	gsλ	gsλ	NOUN
fis-2233	481	3	(	(	PUNCT
fis-2233	481	4	24	24	NUM
fis-2233	481	5	)	)	PUNCT
fis-2233	481	6	diagonal	diagonal	ADJ
fis-2233	481	7	elements	element	NOUN
fis-2233	481	8	λn	λn	NOUN
fis-2233	481	9	,	,	PUNCT
fis-2233	481	10	hh	hh	PROPN
fis-2233	481	11	are	be	AUX
fis-2233	481	12	the	the	DET
fis-2233	481	13	moments	moment	NOUN
fis-2233	481	14	of	of	ADP
fis-2233	481	15	auto	auto	NOUN
fis-2233	481	16	-	-	PUNCT
fis-2233	481	17	psds	psds	NOUN
fis-2233	481	18	,	,	PUNCT
fis-2233	481	19	out	out	ADP
fis-2233	481	20	-	-	PUNCT
fis-2233	481	21	of	of	ADP
fis-2233	481	22	-	-	PUNCT
fis-2233	481	23	diagonal	diagonal	ADJ
fis-2233	481	24	elements	element	NOUN
fis-2233	481	25	λn	λn	NOUN
fis-2233	481	26	,	,	PUNCT
fis-2233	481	27	hk	hk	PROPN
fis-2233	481	28	(	(	PUNCT
fis-2233	481	29	h≠k	h≠k	PROPN
fis-2233	481	30	)	)	PUNCT
fis-2233	481	31	the	the	DET
fis-2233	481	32	moments	moment	NOUN
fis-2233	481	33	of	of	ADP
fis-2233	481	34	cross	cross	NOUN
fis-2233	481	35	-	-	ADJ
fis-2233	481	36	psds	psds	ADJ
fis-2233	481	37	:	:	PUNCT
fis-2233	481	38	)	)	PUNCT
fis-2233	481	39	(	(	PUNCT
fis-2233	481	40	d)(d)(;d	d)(d)(;d	PROPN
fis-2233	481	41	)	)	PUNCT
fis-2233	481	42	(	(	PUNCT
fis-2233	481	43	c	c	NOUN
fis-2233	481	44	,	,	PUNCT
fis-2233	481	45	,	,	PUNCT
fis-2233	481	46	khffsfffsfffsf	khffsfffsfffsf	PROPN
fis-2233	481	47	hk	hk	PROPN
fis-2233	481	48	n	n	PROPN
fis-2233	481	49	hk	hk	PROPN
fis-2233	482	1	n	n	PROPN
fis-2233	482	2	hknhh	hknhh	VERB
fis-2233	483	1	n	n	PRON
fis-2233	483	2	hhn	hhn	PROPN
fis-2233	483	3			PROPN
fis-2233	483	4			PROPN
fis-2233	483	5			NUM
fis-2233	483	6			NOUN
fis-2233	483	7			ADJ
fis-2233	483	8			NOUN
fis-2233	483	9			ADJ
fis-2233	483	10			X
fis-2233	483	11			ADJ
fis-2233	483	12			PROPN
fis-2233	483	13			NOUN
fis-2233	483	14	(	(	PUNCT
fis-2233	483	15	25	25	NUM
fis-2233	483	16	)	)	PUNCT
fis-2233	483	17	eqn	eqn	NOUN
fis-2233	483	18	.	.	PUNCT
fis-2233	484	1	(	(	PUNCT
fis-2233	484	2	25	25	NUM
fis-2233	484	3	)	)	PUNCT
fis-2233	484	4	shows	show	VERB
fis-2233	484	5	that	that	SCONJ
fis-2233	484	6	the	the	DET
fis-2233	484	7	cross	cross	PROPN
fis-2233	484	8	spectral	spectral	ADJ
fis-2233	484	9	moment	moment	NOUN
fis-2233	484	10	λn	λn	NOUN
fis-2233	484	11	,	,	PUNCT
fis-2233	484	12	hk	hk	PROPN
fis-2233	484	13	is	be	AUX
fis-2233	484	14	only	only	ADV
fis-2233	484	15	function	function	NOUN
fis-2233	484	16	of	of	ADP
fis-2233	484	17	the	the	DET
fis-2233	484	18	co	co	NOUN
fis-2233	484	19	-	-	NOUN
fis-2233	484	20	spectrum	spectrum	NOUN
fis-2233	484	21	)	)	PUNCT
fis-2233	484	22	(	(	PUNCT
fis-2233	484	23	fsc	fsc	PROPN
fis-2233	484	24	hk	hk	PROPN
fis-2233	484	25	,	,	PUNCT
fis-2233	484	26	as	as	ADP
fis-2233	484	27	the	the	DET
fis-2233	484	28	quad	quad	ADV
fis-2233	484	29	-	-	PUNCT
fis-2233	484	30	spectrum	spectrum	NOUN
fis-2233	484	31	)	)	PUNCT
fis-2233	484	32	(	(	PUNCT
fis-2233	484	33	fsq	fsq	NOUN
fis-2233	484	34	hk	hk	PROPN
fis-2233	484	35	is	be	AUX
fis-2233	484	36	an	an	DET
fis-2233	484	37	odd	odd	ADJ
fis-2233	484	38	function	function	NOUN
fis-2233	484	39	of	of	ADP
fis-2233	484	40	f	f	PROPN
fis-2233	484	41	and	and	CCONJ
fis-2233	484	42	it	it	PRON
fis-2233	484	43	simplifies	simplify	VERB
fis-2233	484	44	in	in	ADP
fis-2233	484	45	the	the	DET
fis-2233	484	46	integral	integral	ADJ
fis-2233	484	47	computation	computation	NOUN
fis-2233	484	48	(	(	PUNCT
fis-2233	484	49	25	25	NUM
fis-2233	484	50	)	)	PUNCT
fis-2233	484	51	(	(	PUNCT
fis-2233	484	52	this	this	DET
fis-2233	484	53	finding	finding	NOUN
fis-2233	484	54	has	have	AUX
fis-2233	484	55	somehow	somehow	ADV
fis-2233	484	56	to	to	PART
fis-2233	484	57	be	be	AUX
fis-2233	484	58	expected	expect	VERB
fis-2233	484	59	,	,	PUNCT
fis-2233	484	60	since	since	SCONJ
fis-2233	484	61	spectral	spectral	ADJ
fis-2233	484	62	moments	moment	NOUN
fis-2233	484	63	are	be	AUX
fis-2233	484	64	real	real	ADJ
fis-2233	484	65	numbers	number	NOUN
fis-2233	484	66	)	)	PUNCT
fis-2233	484	67	.	.	PUNCT
fis-2233	485	1	eqns	eqns	PROPN
fis-2233	485	2	.	.	PUNCT
fis-2233	486	1	(	(	PUNCT
fis-2233	486	2	22	22	NUM
fis-2233	486	3	)	)	PUNCT
fis-2233	486	4	and	and	CCONJ
fis-2233	486	5	(	(	PUNCT
fis-2233	486	6	24	24	NUM
fis-2233	486	7	)	)	PUNCT
fis-2233	486	8	show	show	VERB
fis-2233	486	9	that	that	SCONJ
fis-2233	486	10	=0	=0	NOUN
fis-2233	486	11	yields	yield	NOUN
fis-2233	486	12	the	the	DET
fis-2233	486	13	covariance	covariance	NOUN
fis-2233	486	14	matrix	matrix	NOUN
fis-2233	486	15	c	c	NOUN
fis-2233	486	16	,	,	PUNCT
fis-2233	486	17	which	which	PRON
fis-2233	486	18	also	also	ADV
fis-2233	486	19	coincides	coincide	VERB
fis-2233	486	20	with	with	ADP
fis-2233	486	21	the	the	DET
fis-2233	486	22	matrix	matrix	NOUN
fis-2233	486	23	λ0	λ0	NOUN
fis-2233	486	24	of	of	ADP
fis-2233	486	25	zero	zero	NUM
fis-2233	486	26	-	-	PUNCT
fis-2233	486	27	order	order	NOUN
fis-2233	486	28	moments	moment	NOUN
fis-2233	486	29	.	.	PUNCT
fis-2233	487	1	variance	variance	NOUN
fis-2233	487	2	and	and	CCONJ
fis-2233	487	3	covariance	covariance	NOUN
fis-2233	487	4	terms	term	NOUN
fis-2233	487	5	are	be	AUX
fis-2233	487	6	:	:	PUNCT
fis-2233	487	7			PROPN
fis-2233	487	8			PROPN
fis-2233	487	9			NOUN
fis-2233	487	10	)(,)(d)(;)(d	)(,)(d)(;)(d	PROPN
fis-2233	487	11	)	)	PUNCT
fis-2233	487	12	(	(	PUNCT
fis-2233	487	13	c	c	X
fis-2233	487	14	,	,	PUNCT
fis-2233	487	15	0	0	NUM
fis-2233	487	16	c	c	NOUN
fis-2233	487	17	,	,	PUNCT
fis-2233	487	18	0	0	NUM
fis-2233	487	19	txtxcovcffstxvarcffs	txtxcovcffstxvarcff	NOUN
fis-2233	487	20	khhkhkhkhhhhhhh	khhkhkhkhhhhhhh	VERB
fis-2233	487	21			PROPN
fis-2233	487	22			NOUN
fis-2233	487	23			X
fis-2233	487	24			ADJ
fis-2233	487	25			NOUN
fis-2233	487	26			ADJ
fis-2233	487	27			NOUN
fis-2233	487	28			NOUN
fis-2233	487	29	(	(	PUNCT
fis-2233	487	30	27	27	NUM
fis-2233	487	31	)	)	PUNCT
fis-2233	487	32	this	this	DET
fis-2233	487	33	final	final	ADJ
fis-2233	487	34	result	result	NOUN
fis-2233	487	35	also	also	ADV
fis-2233	487	36	confirms	confirm	VERB
fis-2233	487	37	how	how	SCONJ
fis-2233	487	38	cross	cross	ADJ
fis-2233	487	39	-	-	ADJ
fis-2233	487	40	psds	psds	ADJ
fis-2233	487	41	(	(	PUNCT
fis-2233	487	42	which	which	PRON
fis-2233	487	43	are	be	AUX
fis-2233	487	44	complex	complex	ADJ
fis-2233	487	45	-	-	PUNCT
fis-2233	487	46	values	value	NOUN
fis-2233	487	47	functions	function	NOUN
fis-2233	487	48	)	)	PUNCT
fis-2233	487	49	are	be	AUX
fis-2233	487	50	not	not	PART
fis-2233	487	51	involved	involve	VERB
fis-2233	487	52	in	in	ADP
fis-2233	487	53	the	the	DET
fis-2233	487	54	covariance	covariance	NOUN
fis-2233	487	55	matrix	matrix	NOUN
fis-2233	487	56	(	(	PUNCT
fis-2233	487	57	which	which	PRON
fis-2233	487	58	is	be	AUX
fis-2233	487	59	real	real	ADV
fis-2233	487	60	-	-	PUNCT
fis-2233	487	61	valued	value	VERB
fis-2233	487	62	)	)	PUNCT
fis-2233	487	63	.	.	PUNCT
fis-2233	488	1	appendix	appendix	PROPN
fis-2233	488	2	b	b	NOUN
fis-2233	488	3	–	–	PUNCT
fis-2233	488	4	implementation	implementation	NOUN
fis-2233	488	5	of	of	ADP
fis-2233	488	6	pbp	pbp	NOUN
fis-2233	488	7	method	method	NOUN
fis-2233	488	8	in	in	ADP
fis-2233	488	9	ansys	ansys	PROPN
fis-2233	488	10	apdl	apdl	PROPN
fis-2233	488	11	ig	ig	PROPN
fis-2233	488	12	.	.	PROPN
fis-2233	488	13	10	10	NUM
fis-2233	488	14	displays	display	VERB
fis-2233	488	15	the	the	DET
fis-2233	488	16	flowchart	flowchart	NOUN
fis-2233	488	17	of	of	ADP
fis-2233	488	18	the	the	DET
fis-2233	488	19	pbp	pbp	NOUN
fis-2233	488	20	method	method	NOUN
fis-2233	488	21	,	,	PUNCT
fis-2233	488	22	along	along	ADP
fis-2233	488	23	with	with	ADP
fis-2233	488	24	the	the	DET
fis-2233	488	25	scripts	script	NOUN
fis-2233	488	26	used	use	VERB
fis-2233	488	27	to	to	PART
fis-2233	488	28	implement	implement	VERB
fis-2233	488	29	the	the	DET
fis-2233	488	30	method	method	NOUN
fis-2233	488	31	in	in	ADP
fis-2233	488	32	ansys	ansys	PROPN
fis-2233	488	33	software	software	PROPN
fis-2233	488	34	.	.	PUNCT
fis-2233	489	1	the	the	DET
fis-2233	489	2	relationship	relationship	NOUN
fis-2233	489	3	with	with	ADP
fis-2233	489	4	the	the	DET
fis-2233	489	5	previous	previous	ADJ
fis-2233	489	6	approach	approach	NOUN
fis-2233	489	7	in	in	ADP
fis-2233	489	8	matlab	matlab	PROPN
fis-2233	489	9	is	be	AUX
fis-2233	489	10	also	also	ADV
fis-2233	489	11	shown	show	VERB
fis-2233	489	12	for	for	ADP
fis-2233	489	13	comparison	comparison	NOUN
fis-2233	489	14	.	.	PUNCT
fis-2233	490	1	in	in	ADP
fis-2233	490	2	both	both	DET
fis-2233	490	3	approaches	approach	NOUN
fis-2233	490	4	,	,	PUNCT
fis-2233	490	5	the	the	DET
fis-2233	490	6	analysis	analysis	NOUN
fis-2233	490	7	is	be	AUX
fis-2233	490	8	developed	develop	VERB
fis-2233	490	9	in	in	ADP
fis-2233	490	10	two	two	NUM
fis-2233	490	11	separate	separate	ADJ
fis-2233	490	12	phases	phase	NOUN
fis-2233	490	13	that	that	PRON
fis-2233	490	14	must	must	AUX
fis-2233	490	15	be	be	AUX
fis-2233	490	16	executed	execute	VERB
fis-2233	490	17	in	in	ADP
fis-2233	490	18	sequence	sequence	NOUN
fis-2233	490	19	.	.	PUNCT
fis-2233	491	1	the	the	DET
fis-2233	491	2	first	first	ADJ
fis-2233	491	3	phase	phase	NOUN
fis-2233	491	4	is	be	AUX
fis-2233	491	5	managed	manage	VERB
fis-2233	491	6	in	in	ADP
fis-2233	491	7	ansys	ansys	PROPN
fis-2233	491	8	by	by	ADP
fis-2233	491	9	a	a	DET
fis-2233	491	10	main	main	ADJ
fis-2233	491	11	program	program	NOUN
fis-2233	491	12	that	that	PRON
fis-2233	491	13	generates	generate	VERB
fis-2233	491	14	the	the	DET
fis-2233	491	15	finite	finite	PROPN
fis-2233	491	16	element	element	NOUN
fis-2233	491	17	model	model	NOUN
fis-2233	491	18	(	(	PUNCT
fis-2233	491	19	mesh	mesh	NOUN
fis-2233	491	20	and	and	CCONJ
fis-2233	491	21	boundary	boundary	ADJ
fis-2233	491	22	conditions	condition	NOUN
fis-2233	491	23	)	)	PUNCT
fis-2233	491	24	and	and	CCONJ
fis-2233	491	25	computes	compute	VERB
fis-2233	491	26	the	the	DET
fis-2233	491	27	stress	stress	NOUN
fis-2233	491	28	psds	psds	NOUN
fis-2233	491	29	in	in	ADP
fis-2233	491	30	each	each	DET
fis-2233	491	31	node	node	NOUN
fis-2233	491	32	(	(	PUNCT
fis-2233	491	33	“	"	PUNCT
fis-2233	491	34	do	do	AUX
fis-2233	491	35	/	/	SYM
fis-2233	491	36	endo	endo	NOUN
fis-2233	491	37	”	"	PUNCT
fis-2233	491	38	loop	loop	NOUN
fis-2233	491	39	)	)	PUNCT
fis-2233	491	40	through	through	ADP
fis-2233	491	41	the	the	DET
fis-2233	491	42	procedure	procedure	NOUN
fis-2233	491	43	of	of	ADP
fis-2233	491	44	random	random	ADJ
fis-2233	491	45	vibration	vibration	NOUN
fis-2233	491	46	analysis	analysis	NOUN
fis-2233	491	47	.	.	PUNCT
fis-2233	492	1	throughout	throughout	ADP
fis-2233	492	2	this	this	DET
fis-2233	492	3	phase	phase	NOUN
fis-2233	492	4	,	,	PUNCT
fis-2233	492	5	the	the	DET
fis-2233	492	6	stress	stress	NOUN
fis-2233	492	7	psd	psd	NOUN
fis-2233	492	8	for	for	ADP
fis-2233	492	9	each	each	DET
fis-2233	492	10	node	node	NOUN
fis-2233	492	11	is	be	AUX
fis-2233	492	12	stored	store	VERB
fis-2233	492	13	into	into	ADP
fis-2233	492	14	a	a	DET
fis-2233	492	15	text	text	NOUN
fis-2233	492	16	file	file	NOUN
fis-2233	492	17	(	(	PUNCT
fis-2233	492	18	function	function	NOUN
fis-2233	492	19	“	"	PUNCT
fis-2233	492	20	psdcovdata2text.mac	psdcovdata2text.mac	NOUN
fis-2233	492	21	”	"	PUNCT
fis-2233	492	22	)	)	PUNCT
fis-2233	492	23	.	.	PUNCT
fis-2233	493	1	all	all	DET
fis-2233	493	2	text	text	NOUN
fis-2233	493	3	files	file	NOUN
fis-2233	493	4	are	be	AUX
fis-2233	493	5	gathered	gather	VERB
fis-2233	493	6	in	in	ADP
fis-2233	493	7	a	a	DET
fis-2233	493	8	subfolder	subfolder	NOUN
fis-2233	493	9	for	for	ADP
fis-2233	493	10	subsequent	subsequent	ADJ
fis-2233	493	11	processing	processing	NOUN
fis-2233	493	12	.	.	PUNCT
fis-2233	494	1	similarly	similarly	ADV
fis-2233	494	2	,	,	PUNCT
fis-2233	494	3	also	also	ADV
fis-2233	494	4	the	the	DET
fis-2233	494	5	finite	finite	PROPN
fis-2233	494	6	element	element	NOUN
fis-2233	494	7	model	model	NOUN
fis-2233	494	8	is	be	AUX
fis-2233	494	9	saved	save	VERB
fis-2233	494	10	into	into	ADP
fis-2233	494	11	a	a	DET
fis-2233	494	12	*	*	NOUN
fis-2233	494	13	.cdb	.cdb	NOUN
fis-2233	494	14	file	file	NOUN
fis-2233	494	15	.	.	PUNCT
fis-2233	495	1	the	the	DET
fis-2233	495	2	list	list	NOUN
fis-2233	495	3	of	of	ADP
fis-2233	495	4	nodes	node	NOUN
fis-2233	495	5	and	and	CCONJ
fis-2233	495	6	elements	element	NOUN
fis-2233	495	7	need	need	VERB
fis-2233	495	8	to	to	PART
fis-2233	495	9	be	be	AUX
fis-2233	495	10	exported	export	VERB
fis-2233	495	11	and	and	CCONJ
fis-2233	495	12	stored	store	VERB
fis-2233	495	13	(	(	PUNCT
fis-2233	495	14	function	function	NOUN
fis-2233	495	15	“	"	PUNCT
fis-2233	495	16	fenode_elem.mac	fenode_elem.mac	NOUN
fis-2233	495	17	”	"	PUNCT
fis-2233	495	18	)	)	PUNCT
fis-2233	495	19	only	only	ADV
fis-2233	495	20	if	if	SCONJ
fis-2233	495	21	the	the	DET
fis-2233	495	22	next	next	ADJ
fis-2233	495	23	analysis	analysis	NOUN
fis-2233	495	24	phase	phase	NOUN
fis-2233	495	25	is	be	AUX
fis-2233	495	26	performed	perform	VERB
fis-2233	495	27	in	in	ADP
fis-2233	495	28	matlab	matlab	PROPN
fis-2233	495	29	.	.	PUNCT
fis-2233	496	1	the	the	DET
fis-2233	496	2	second	second	ADJ
fis-2233	496	3	phase	phase	NOUN
fis-2233	496	4	,	,	PUNCT
fis-2233	496	5	carried	carry	VERB
fis-2233	496	6	out	out	ADP
fis-2233	496	7	either	either	CCONJ
fis-2233	496	8	in	in	ADP
fis-2233	496	9	ansys	ansys	PROPN
fis-2233	496	10	or	or	CCONJ
fis-2233	496	11	in	in	ADP
fis-2233	496	12	matlab	matlab	PROPN
fis-2233	496	13	,	,	PUNCT
fis-2233	496	14	computes	compute	VERB
fis-2233	496	15	the	the	DET
fis-2233	496	16	damage	damage	NOUN
fis-2233	496	17	in	in	ADP
fis-2233	496	18	each	each	DET
fis-2233	496	19	node	node	NOUN
fis-2233	496	20	according	accord	VERB
fis-2233	496	21	to	to	ADP
fis-2233	496	22	the	the	DET
fis-2233	496	23	pbp	pbp	NOUN
fis-2233	496	24	method	method	NOUN
fis-2233	496	25	.	.	PUNCT
fis-2233	497	1	in	in	ADP
fis-2233	497	2	ansys	ansys	PROPN
fis-2233	497	3	,	,	PUNCT
fis-2233	497	4	this	this	DET
fis-2233	497	5	phase	phase	NOUN
fis-2233	497	6	is	be	AUX
fis-2233	497	7	managed	manage	VERB
fis-2233	497	8	by	by	ADP
fis-2233	497	9	a	a	DET
fis-2233	497	10	main	main	ADJ
fis-2233	497	11	program	program	NOUN
fis-2233	497	12	through	through	ADP
fis-2233	497	13	a	a	DET
fis-2233	497	14	“	"	PUNCT
fis-2233	497	15	do	do	AUX
fis-2233	497	16	/	/	SYM
fis-2233	497	17	endo	endo	NOUN
fis-2233	497	18	”	"	PUNCT
fis-2233	497	19	loop	loop	NOUN
fis-2233	497	20	,	,	PUNCT
fis-2233	497	21	in	in	ADP
fis-2233	497	22	which	which	PRON
fis-2233	497	23	the	the	DET
fis-2233	497	24	stress	stress	PROPN
fis-2233	497	25	psd	psd	PROPN
fis-2233	497	26	data	datum	NOUN
fis-2233	497	27	for	for	ADP
fis-2233	497	28	each	each	DET
fis-2233	497	29	node	node	NOUN
fis-2233	497	30	are	be	AUX
fis-2233	497	31	first	first	ADV
fis-2233	497	32	retrieved	retrieve	VERB
fis-2233	497	33	from	from	ADP
fis-2233	497	34	text	text	NOUN
fis-2233	497	35	files	file	NOUN
fis-2233	497	36	(	(	PUNCT
fis-2233	497	37	function	function	NOUN
fis-2233	497	38	“	"	PUNCT
fis-2233	497	39	text2psdcovdata.mac	text2psdcovdata.mac	NOUN
fis-2233	497	40	”	"	PUNCT
fis-2233	497	41	)	)	PUNCT
fis-2233	497	42	and	and	CCONJ
fis-2233	497	43	then	then	ADV
fis-2233	497	44	used	use	VERB
fis-2233	497	45	as	as	ADP
fis-2233	497	46	input	input	NOUN
fis-2233	497	47	for	for	ADP
fis-2233	497	48	subsequent	subsequent	ADJ
fis-2233	497	49	analysis	analysis	NOUN
fis-2233	497	50	.	.	PUNCT
fis-2233	498	1	also	also	ADV
fis-2233	498	2	the	the	DET
fis-2233	498	3	s	s	NOUN
fis-2233	498	4	-	-	PUNCT
fis-2233	498	5	n	n	PRON
fis-2233	498	6	material	material	NOUN
fis-2233	498	7	properties	property	NOUN
fis-2233	498	8	are	be	AUX
fis-2233	498	9	specified	specify	VERB
fis-2233	498	10	at	at	ADP
fis-2233	498	11	the	the	DET
fis-2233	498	12	beginning	beginning	NOUN
fis-2233	498	13	of	of	ADP
fis-2233	498	14	the	the	DET
fis-2233	498	15	analysis	analysis	NOUN
fis-2233	498	16	.	.	PUNCT
fis-2233	499	1	at	at	ADP
fis-2233	499	2	the	the	DET
fis-2233	499	3	end	end	NOUN
fis-2233	499	4	of	of	ADP
fis-2233	499	5	second	second	ADJ
fis-2233	499	6	phase	phase	NOUN
fis-2233	499	7	,	,	PUNCT
fis-2233	499	8	results	result	NOUN
fis-2233	499	9	are	be	AUX
fis-2233	499	10	displayed	display	VERB
fis-2233	499	11	as	as	ADP
fis-2233	499	12	a	a	DET
fis-2233	499	13	contour	contour	NOUN
fis-2233	499	14	plot	plot	NOUN
fis-2233	499	15	(	(	PUNCT
fis-2233	499	16	damage	damage	NOUN
fis-2233	499	17	map	map	NOUN
fis-2233	499	18	)	)	PUNCT
fis-2233	499	19	,	,	PUNCT
fis-2233	499	20	or	or	CCONJ
fis-2233	499	21	written	write	VERB
fis-2233	499	22	into	into	ADP
fis-2233	499	23	a	a	DET
fis-2233	499	24	text	text	NOUN
fis-2233	499	25	file	file	NOUN
fis-2233	499	26	(	(	PUNCT
fis-2233	499	27	function	function	NOUN
fis-2233	499	28	“	"	PUNCT
fis-2233	499	29	pbpresults2text.mac	pbpresults2text.mac	NOUN
fis-2233	499	30	”	"	PUNCT
fis-2233	499	31	)	)	PUNCT
fis-2233	499	32	.	.	PUNCT
fis-2233	500	1	f	f	PROPN
fis-2233	500	2	d.	d.	PROPN
fis-2233	500	3	benasciutti	benasciutti	PROPN
fis-2233	500	4	et	et	PROPN
fis-2233	500	5	alii	alii	PROPN
fis-2233	500	6	,	,	PUNCT
fis-2233	500	7	frattura	frattura	PROPN
fis-2233	500	8	ed	ed	PROPN
fis-2233	500	9	integrità	integrità	PROPN
fis-2233	500	10	strutturale	strutturale	PROPN
fis-2233	500	11	,	,	PUNCT
fis-2233	500	12	47	47	NUM
fis-2233	500	13	(	(	PUNCT
fis-2233	500	14	2019	2019	NUM
fis-2233	500	15	)	)	PUNCT
fis-2233	500	16	348	348	NUM
fis-2233	500	17	-	-	SYM
fis-2233	500	18	366	366	NUM
fis-2233	500	19	;	;	PUNCT
fis-2233	500	20	doi	doi	NOUN
fis-2233	500	21	:	:	PUNCT
fis-2233	500	22	10.3221	10.3221	NUM
fis-2233	500	23	/	/	SYM
fis-2233	500	24	igf	igf	PROPN
fis-2233	500	25	-	-	ADJ
fis-2233	500	26	esis.47.26	esis.47.26	ADJ
fis-2233	500	27	365	365	NUM
fis-2233	500	28	figure	figure	NOUN
fis-2233	500	29	10	10	NUM
fis-2233	500	30	:	:	PUNCT
fis-2233	500	31	flowchart	flowchart	NOUN
fis-2233	500	32	of	of	ADP
fis-2233	500	33	the	the	DET
fis-2233	500	34	apdl	apdl	PROPN
fis-2233	500	35	script	script	NOUN
fis-2233	500	36	to	to	PART
fis-2233	500	37	implement	implement	VERB
fis-2233	500	38	the	the	DET
fis-2233	500	39	pbp	pbp	NOUN
fis-2233	500	40	in	in	ADP
fis-2233	500	41	ansys	ansys	PROPN
fis-2233	500	42	software	software	PROPN
fis-2233	500	43	.	.	PUNCT
fis-2233	501	1	the	the	DET
fis-2233	501	2	relationship	relationship	NOUN
fis-2233	501	3	with	with	ADP
fis-2233	501	4	the	the	DET
fis-2233	501	5	previous	previous	ADJ
fis-2233	501	6	matlab	matlab	NOUN
fis-2233	501	7	-	-	PUNCT
fis-2233	501	8	based	base	VERB
fis-2233	501	9	procedure	procedure	NOUN
fis-2233	501	10	(	(	PUNCT
fis-2233	501	11	sketched	sketch	VERB
fis-2233	501	12	on	on	ADP
fis-2233	501	13	the	the	DET
fis-2233	501	14	right	right	NOUN
fis-2233	501	15	)	)	PUNCT
fis-2233	501	16	is	be	AUX
fis-2233	501	17	shown	show	VERB
fis-2233	501	18	.	.	PUNCT
fis-2233	502	1	the	the	DET
fis-2233	502	2	first	first	ADJ
fis-2233	502	3	phase	phase	NOUN
fis-2233	502	4	must	must	AUX
fis-2233	502	5	be	be	AUX
fis-2233	502	6	run	run	VERB
fis-2233	502	7	one	one	NUM
fis-2233	502	8	time	time	NOUN
fis-2233	502	9	only	only	ADV
fis-2233	502	10	.	.	PUNCT
fis-2233	503	1	once	once	ADV
fis-2233	503	2	stress	stress	NOUN
fis-2233	503	3	psds	psds	NOUN
fis-2233	503	4	have	have	AUX
fis-2233	503	5	been	be	AUX
fis-2233	503	6	calculated	calculate	VERB
fis-2233	503	7	and	and	CCONJ
fis-2233	503	8	stored	store	VERB
fis-2233	503	9	,	,	PUNCT
fis-2233	503	10	the	the	DET
fis-2233	503	11	second	second	ADJ
fis-2233	503	12	analysis	analysis	NOUN
fis-2233	503	13	phase	phase	NOUN
fis-2233	503	14	is	be	AUX
fis-2233	503	15	performed	perform	VERB
fis-2233	503	16	to	to	PART
fis-2233	503	17	compute	compute	VERB
fis-2233	503	18	the	the	DET
fis-2233	503	19	fatigue	fatigue	NOUN
fis-2233	503	20	damage	damage	NOUN
fis-2233	503	21	.	.	PUNCT
fis-2233	504	1	this	this	DET
fis-2233	504	2	phase	phase	NOUN
fis-2233	504	3	is	be	AUX
fis-2233	504	4	repeated	repeat	VERB
fis-2233	504	5	as	as	ADP
fis-2233	504	6	many	many	ADJ
fis-2233	504	7	times	time	NOUN
fis-2233	504	8	as	as	SCONJ
fis-2233	504	9	are	be	AUX
fis-2233	504	10	the	the	DET
fis-2233	504	11	combinations	combination	NOUN
fis-2233	504	12	of	of	ADP
fis-2233	504	13	s	s	NOUN
fis-2233	504	14	-	-	PUNCT
fis-2233	504	15	n	n	NOUN
fis-2233	504	16	properties	property	NOUN
fis-2233	504	17	that	that	PRON
fis-2233	504	18	need	need	VERB
fis-2233	504	19	to	to	PART
fis-2233	504	20	be	be	AUX
fis-2233	504	21	scrutinized	scrutinize	VERB
fis-2233	504	22	.	.	PUNCT
fis-2233	505	1	in	in	ADP
fis-2233	505	2	terms	term	NOUN
fis-2233	505	3	of	of	ADP
fis-2233	505	4	computation	computation	NOUN
fis-2233	505	5	time	time	NOUN
fis-2233	505	6	,	,	PUNCT
fis-2233	505	7	the	the	DET
fis-2233	505	8	first	first	ADJ
fis-2233	505	9	phase	phase	NOUN
fis-2233	505	10	may	may	AUX
fis-2233	505	11	be	be	AUX
fis-2233	505	12	slightly	slightly	ADV
fis-2233	505	13	longer	long	ADJ
fis-2233	505	14	than	than	ADP
fis-2233	505	15	the	the	DET
fis-2233	505	16	second	second	ADJ
fis-2233	505	17	one	one	NOUN
fis-2233	505	18	(	(	PUNCT
fis-2233	505	19	especially	especially	ADV
fis-2233	505	20	with	with	ADP
fis-2233	505	21	low	low	ADJ
fis-2233	505	22	ram	ram	NOUN
fis-2233	505	23	memory	memory	NOUN
fis-2233	505	24	)	)	PUNCT
fis-2233	505	25	.	.	PUNCT
fis-2233	506	1	just	just	ADV
fis-2233	506	2	to	to	PART
fis-2233	506	3	provide	provide	VERB
fis-2233	506	4	an	an	DET
fis-2233	506	5	order	order	NOUN
fis-2233	506	6	-	-	PUNCT
fis-2233	506	7	of	of	ADP
fis-2233	506	8	-	-	PUNCT
fis-2233	506	9	magnitude	magnitude	NOUN
fis-2233	506	10	estimate	estimate	NOUN
fis-2233	506	11	,	,	PUNCT
fis-2233	506	12	for	for	ADP
fis-2233	506	13	the	the	DET
fis-2233	506	14	model	model	NOUN
fis-2233	506	15	in	in	ADP
fis-2233	506	16	fig	fig	NOUN
fis-2233	506	17	.	.	PUNCT
fis-2233	507	1	6	6	NUM
fis-2233	507	2	,	,	PUNCT
fis-2233	507	3	determining	determine	VERB
fis-2233	507	4	the	the	DET
fis-2233	507	5	nodal	nodal	NOUN
fis-2233	507	6	stress	stress	NOUN
fis-2233	507	7	psds	psds	NOUN
fis-2233	507	8	takes	take	VERB
fis-2233	507	9	about	about	ADV
fis-2233	507	10	4	4	NUM
fis-2233	507	11	minutes	minute	NOUN
fis-2233	507	12	,	,	PUNCT
fis-2233	507	13	while	while	SCONJ
fis-2233	507	14	applying	apply	VERB
fis-2233	507	15	the	the	DET
fis-2233	507	16	pbp	pbp	NOUN
fis-2233	507	17	method	method	NOUN
fis-2233	507	18	takes	take	VERB
fis-2233	507	19	about	about	ADV
fis-2233	507	20	3	3	NUM
fis-2233	507	21	minutes	minute	NOUN
fis-2233	507	22	on	on	ADP
fis-2233	507	23	a	a	DET
fis-2233	507	24	64	64	NUM
fis-2233	507	25	-	-	PUNCT
fis-2233	507	26	bit	bit	NOUN
fis-2233	507	27	workstation	workstation	NOUN
fis-2233	507	28	(	(	PUNCT
fis-2233	507	29	cpu	cpu	NOUN
fis-2233	507	30	3.80	3.80	NUM
fis-2233	507	31	ghz	ghz	NOUN
fis-2233	507	32	,	,	PUNCT
fis-2233	507	33	32	32	NUM
fis-2233	507	34	gb	gb	NOUN
fis-2233	507	35	ram	ram	NOUN
fis-2233	507	36	)	)	PUNCT
fis-2233	507	37	.	.	PUNCT
fis-2233	508	1	compared	compare	VERB
fis-2233	508	2	to	to	ADP
fis-2233	508	3	the	the	DET
fis-2233	508	4	ansys	ansys	PROPN
fis-2233	508	5	/	/	SYM
fis-2233	508	6	matlab	matlab	PROPN
fis-2233	508	7	mixed	mixed	ADJ
fis-2233	508	8	procedure	procedure	NOUN
fis-2233	508	9	,	,	PUNCT
fis-2233	508	10	the	the	DET
fis-2233	508	11	new	new	ADJ
fis-2233	508	12	approach	approach	NOUN
fis-2233	508	13	entirely	entirely	ADV
fis-2233	508	14	based	base	VERB
fis-2233	508	15	on	on	ADP
fis-2233	508	16	ansys	ansys	PROPN
fis-2233	508	17	has	have	VERB
fis-2233	508	18	the	the	DET
fis-2233	508	19	great	great	ADJ
fis-2233	508	20	advantage	advantage	NOUN
fis-2233	508	21	to	to	PART
fis-2233	508	22	exploit	exploit	VERB
fis-2233	508	23	the	the	DET
fis-2233	508	24	graphical	graphical	ADJ
fis-2233	508	25	capabilities	capability	NOUN
fis-2233	508	26	of	of	ADP
fis-2233	508	27	the	the	DET
fis-2233	508	28	commercial	commercial	ADJ
fis-2233	508	29	software	software	NOUN
fis-2233	508	30	in	in	ADP
fis-2233	508	31	displaying	display	VERB
fis-2233	508	32	the	the	DET
fis-2233	508	33	damage	damage	NOUN
fis-2233	508	34	contour	contour	NOUN
fis-2233	508	35	maps	map	NOUN
fis-2233	508	36	,	,	PUNCT
fis-2233	508	37	especially	especially	ADV
fis-2233	508	38	in	in	ADP
fis-2233	508	39	3d	3d	PROPN
fis-2233	508	40	complex	complex	ADJ
fis-2233	508	41	finite	finite	ADJ
fis-2233	508	42	element	element	NOUN
fis-2233	508	43	models	model	NOUN
fis-2233	508	44	.	.	PUNCT
fis-2233	509	1	another	another	DET
fis-2233	509	2	little	little	ADJ
fis-2233	509	3	advantage	advantage	NOUN
fis-2233	509	4	,	,	PUNCT
fis-2233	509	5	though	though	SCONJ
fis-2233	509	6	trivial	trivial	ADJ
fis-2233	509	7	,	,	PUNCT
fis-2233	509	8	is	be	AUX
fis-2233	509	9	that	that	SCONJ
fis-2233	509	10	only	only	ADV
fis-2233	509	11	one	one	NUM
fis-2233	509	12	type	type	NOUN
fis-2233	509	13	of	of	ADP
fis-2233	509	14	software	software	NOUN
fis-2233	509	15	is	be	AUX
fis-2233	509	16	needed	need	VERB
fis-2233	509	17	to	to	PART
fis-2233	509	18	carry	carry	VERB
fis-2233	509	19	out	out	ADP
fis-2233	509	20	the	the	DET
fis-2233	509	21	whole	whole	ADJ
fis-2233	509	22	calculation	calculation	NOUN
fis-2233	509	23	.	.	PUNCT
fis-2233	510	1	on	on	ADP
fis-2233	510	2	the	the	DET
fis-2233	510	3	other	other	ADJ
fis-2233	510	4	hand	hand	NOUN
fis-2233	510	5	,	,	PUNCT
fis-2233	510	6	the	the	DET
fis-2233	510	7	main	main	ADJ
fis-2233	510	8	disadvantage	disadvantage	NOUN
fis-2233	510	9	of	of	ADP
fis-2233	510	10	using	use	VERB
fis-2233	510	11	ansys	ansys	PROPN
fis-2233	510	12	as	as	SCONJ
fis-2233	510	13	the	the	DET
fis-2233	510	14	only	only	ADJ
fis-2233	510	15	computation	computation	NOUN
fis-2233	510	16	tool	tool	NOUN
fis-2233	510	17	is	be	AUX
fis-2233	510	18	due	due	ADJ
fis-2233	510	19	to	to	ADP
fis-2233	510	20	a	a	DET
fis-2233	510	21	greater	great	ADJ
fis-2233	510	22	complexity	complexity	NOUN
fis-2233	510	23	and	and	CCONJ
fis-2233	510	24	less	less	ADJ
fis-2233	510	25	flexibility	flexibility	NOUN
fis-2233	510	26	of	of	ADP
fis-2233	510	27	apdl	apdl	ADJ
fis-2233	510	28	language	language	NOUN
fis-2233	510	29	in	in	ADP
fis-2233	510	30	performing	perform	VERB
fis-2233	510	31	the	the	DET
fis-2233	510	32	fatigue	fatigue	NOUN
fis-2233	510	33	damage	damage	NOUN
fis-2233	510	34	calculations	calculation	NOUN
fis-2233	510	35	required	require	VERB
fis-2233	510	36	in	in	ADP
fis-2233	510	37	the	the	DET
fis-2233	510	38	pbp	pbp	NOUN
fis-2233	510	39	method	method	NOUN
fis-2233	510	40	.	.	PUNCT
fis-2233	511	1	although	although	SCONJ
fis-2233	511	2	the	the	DET
fis-2233	511	3	apdl	apdl	ADJ
fis-2233	511	4	language	language	NOUN
fis-2233	511	5	–	–	PUNCT
fis-2233	511	6	as	as	ADP
fis-2233	511	7	matlab	matlab	PROPN
fis-2233	511	8	–	–	PUNCT
fis-2233	511	9	can	can	AUX
fis-2233	511	10	execute	execute	VERB
fis-2233	511	11	a	a	DET
fis-2233	511	12	lot	lot	NOUN
fis-2233	511	13	of	of	ADP
fis-2233	511	14	algebraic	algebraic	ADJ
fis-2233	511	15	and	and	CCONJ
fis-2233	511	16	trigonometric	trigonometric	ADJ
fis-2233	511	17	functions	function	NOUN
fis-2233	511	18	,	,	PUNCT
fis-2233	511	19	and	and	CCONJ
fis-2233	511	20	it	it	PRON
fis-2233	511	21	can	can	AUX
fis-2233	511	22	even	even	ADV
fis-2233	511	23	manage	manage	VERB
fis-2233	511	24	“	"	PUNCT
fis-2233	511	25	do	do	AUX
fis-2233	511	26	/	/	SYM
fis-2233	511	27	endo	endo	NOUN
fis-2233	511	28	”	"	PUNCT
fis-2233	511	29	and	and	CCONJ
fis-2233	511	30	“	"	PUNCT
fis-2233	511	31	dowhile	dowhile	VERB
fis-2233	511	32	/	/	SYM
fis-2233	511	33	endo	endo	NOUN
fis-2233	511	34	”	"	PUNCT
fis-2233	511	35	loops	loop	NOUN
fis-2233	511	36	,	,	PUNCT
fis-2233	511	37	it	it	PRON
fis-2233	511	38	does	do	AUX
fis-2233	511	39	not	not	PART
fis-2233	511	40	have	have	VERB
fis-2233	511	41	functions	function	NOUN
fis-2233	511	42	to	to	PART
fis-2233	511	43	compute	compute	VERB
fis-2233	511	44	the	the	DET
fis-2233	511	45	eigenvalues	eigenvalue	NOUN
fis-2233	511	46	/	/	SYM
fis-2233	511	47	eigenvalues	eigenvalue	NOUN
fis-2233	511	48	of	of	ADP
fis-2233	511	49	a	a	DET
fis-2233	511	50	square	square	ADJ
fis-2233	511	51	matrix	matrix	NOUN
fis-2233	511	52	or	or	CCONJ
fis-2233	511	53	the	the	DET
fis-2233	511	54	gamma	gamma	NOUN
fis-2233	511	55	function	function	NOUN
fis-2233	511	56	γ(-	γ(-	PROPN
fis-2233	511	57	)	)	PUNCT
fis-2233	511	58	directly	directly	ADV
fis-2233	511	59	.	.	PUNCT
fis-2233	512	1	therefore	therefore	ADV
fis-2233	512	2	,	,	PUNCT
fis-2233	512	3	an	an	DET
fis-2233	512	4	apdl	apdl	ADJ
fis-2233	512	5	macro	macro	NOUN
fis-2233	512	6	(	(	PUNCT
fis-2233	512	7	called	call	VERB
fis-2233	512	8	“	"	PUNCT
fis-2233	512	9	eigen.mac	eigen.mac	NOUN
fis-2233	512	10	”	"	PUNCT
fis-2233	512	11	)	)	PUNCT
fis-2233	512	12	has	have	AUX
fis-2233	512	13	been	be	AUX
fis-2233	512	14	written	write	VERB
fis-2233	512	15	to	to	PART
fis-2233	512	16	deal	deal	VERB
fis-2233	512	17	with	with	ADP
fis-2233	512	18	eigenvalues	eigenvalue	NOUN
fis-2233	512	19	/	/	SYM
fis-2233	512	20	eigenvalues	eigenvalue	NOUN
fis-2233	512	21	computation	computation	NOUN
fis-2233	512	22	.	.	PUNCT
fis-2233	513	1	this	this	DET
fis-2233	513	2	macro	macro	NOUN
fis-2233	513	3	took	take	VERB
fis-2233	513	4	the	the	DET
fis-2233	513	5	cue	cue	NOUN
fis-2233	513	6	from	from	ADP
fis-2233	513	7	the	the	DET
fis-2233	513	8	software	software	NOUN
fis-2233	513	9	library	library	NOUN
fis-2233	513	10	eispack	eispack	NOUN
fis-2233	513	11	,	,	PUNCT
fis-2233	513	12	written	write	VERB
fis-2233	513	13	in	in	ADP
fis-2233	513	14	fortran	fortran	NOUN
fis-2233	513	15	[	[	X
fis-2233	513	16	22,23	22,23	NOUN
fis-2233	513	17	]	]	X
fis-2233	513	18	.	.	PUNCT
fis-2233	514	1	in	in	ADP
fis-2233	514	2	particular	particular	ADJ
fis-2233	514	3	,	,	PUNCT
fis-2233	514	4	the	the	DET
fis-2233	514	5	functions	function	NOUN
fis-2233	514	6	involved	involve	VERB
fis-2233	514	7	are	be	AUX
fis-2233	514	8	:	:	PUNCT
fis-2233	514	9	tred2	tred2	NOUN
fis-2233	514	10	for	for	ADP
fis-2233	514	11	tridiagonalization	tridiagonalization	NOUN
fis-2233	514	12	of	of	ADP
fis-2233	514	13	a	a	DET
fis-2233	514	14	symmetric	symmetric	ADJ
fis-2233	514	15	matrix	matrix	NOUN
fis-2233	514	16	[	[	X
fis-2233	514	17	24	24	NUM
fis-2233	514	18	]	]	PUNCT
fis-2233	514	19	,	,	PUNCT
fis-2233	514	20	tql2	tql2	PROPN
fis-2233	514	21	for	for	ADP
fis-2233	514	22	the	the	DET
fis-2233	514	23	qr	qr	PROPN
fis-2233	514	24	eigenvalue	eigenvalue	PROPN
fis-2233	514	25	algorithm	algorithm	NOUN
fis-2233	514	26	[	[	X
fis-2233	514	27	25	25	NUM
fis-2233	514	28	]	]	PUNCT
fis-2233	514	29	.	.	PUNCT
fis-2233	515	1	instead	instead	ADV
fis-2233	515	2	,	,	PUNCT
fis-2233	515	3	the	the	DET
fis-2233	515	4	gamma	gamma	PROPN
fis-2233	515	5	function	function	PROPN
fis-2233	515	6	γ	γ	X
fis-2233	515	7	(	(	PUNCT
fis-2233	515	8	–	–	PUNCT
fis-2233	515	9	)	)	PUNCT
fis-2233	515	10	was	be	AUX
fis-2233	515	11	computed	compute	VERB
fis-2233	515	12	by	by	ADP
fis-2233	515	13	means	mean	NOUN
fis-2233	515	14	of	of	ADP
fis-2233	515	15	stirling	stirling	NOUN
fis-2233	515	16	’s	’s	PART
fis-2233	515	17	approximation	approximation	NOUN
fis-2233	515	18	formula	formula	NOUN
fis-2233	515	19	,	,	PUNCT
fis-2233	515	20	see	see	VERB
fis-2233	515	21	for	for	ADP
fis-2233	515	22	example	example	NOUN
fis-2233	515	23	[	[	X
fis-2233	515	24	26	26	NUM
fis-2233	515	25	]	]	PUNCT
fis-2233	515	26	.	.	PUNCT
fis-2233	516	1	to	to	PART
fis-2233	516	2	conclude	conclude	VERB
fis-2233	516	3	,	,	PUNCT
fis-2233	516	4	it	it	PRON
fis-2233	516	5	is	be	AUX
fis-2233	516	6	worth	worth	ADJ
fis-2233	516	7	emphasizing	emphasize	VERB
fis-2233	516	8	that	that	SCONJ
fis-2233	516	9	the	the	DET
fis-2233	516	10	flowchart	flowchart	NOUN
fis-2233	516	11	here	here	ADV
fis-2233	516	12	described	describe	VERB
fis-2233	516	13	for	for	ADP
fis-2233	516	14	ansys	ansys	PROPN
fis-2233	516	15	software	software	PROPN
fis-2233	516	16	is	be	AUX
fis-2233	516	17	very	very	ADV
fis-2233	516	18	general	general	ADJ
fis-2233	516	19	and	and	CCONJ
fis-2233	516	20	it	it	PRON
fis-2233	516	21	can	can	AUX
fis-2233	516	22	easily	easily	ADV
fis-2233	516	23	be	be	AUX
fis-2233	516	24	adapted	adapt	VERB
fis-2233	516	25	to	to	ADP
fis-2233	516	26	any	any	DET
fis-2233	516	27	other	other	ADJ
fis-2233	516	28	finite	finite	ADJ
fis-2233	516	29	element	element	NOUN
fis-2233	516	30	code	code	NOUN
fis-2233	516	31	that	that	PRON
fis-2233	516	32	perhaps	perhaps	ADV
fis-2233	516	33	the	the	DET
fis-2233	516	34	reader	reader	NOUN
fis-2233	516	35	knows	know	VERB
fis-2233	516	36	better	well	ADV
fis-2233	516	37	.	.	PUNCT
fis-2233	517	1	nomenclature	nomenclature	VERB
fis-2233	517	2	a	a	DET
fis-2233	517	3	matrix	matrix	NOUN
fis-2233	517	4	of	of	ADP
fis-2233	517	5	constants	constant	NOUN
fis-2233	517	6	c	c	NOUN
fis-2233	517	7	,	,	PUNCT
fis-2233	517	8	c	c	X
fis-2233	517	9	’	'	PUNCT
fis-2233	517	10	covariance	covariance	NOUN
fis-2233	517	11	matrix	matrix	NOUN
fis-2233	517	12	of	of	ADP
fis-2233	517	13	x(t	x(t	PROPN
fis-2233	517	14	)	)	PUNCT
fis-2233	517	15	and	and	CCONJ
fis-2233	517	16	s(t	s(t	NUM
fis-2233	517	17	)	)	PUNCT
fis-2233	517	18	c'p	c'p	VERB
fis-2233	517	19	covariance	covariance	NOUN
fis-2233	517	20	matrix	matrix	NOUN
fis-2233	517	21	in	in	ADP
fis-2233	517	22	the	the	DET
fis-2233	517	23	principal	principal	ADJ
fis-2233	517	24	coordinate	coordinate	NOUN
fis-2233	517	25	system	system	NOUN
fis-2233	517	26	dtb(ωp	dtb(ωp	PROPN
fis-2233	517	27	,	,	PUNCT
fis-2233	517	28	i(t	i(t	PROPN
fis-2233	517	29	)	)	PUNCT
fis-2233	517	30	)	)	PUNCT
fis-2233	517	31	damage	damage	NOUN
fis-2233	517	32	of	of	ADP
fis-2233	517	33	stress	stress	NOUN
fis-2233	517	34	projection	projection	PROPN
fis-2233	517	35	ωp	ωp	PROPN
fis-2233	517	36	,	,	PUNCT
fis-2233	517	37	i(t	i(t	PROPN
fis-2233	517	38	)	)	PUNCT
fis-2233	517	39	by	by	ADP
fis-2233	517	40	tb	tb	ADP
fis-2233	517	41	method	method	PROPN
fis-2233	517	42	d.	d.	PROPN
fis-2233	517	43	benasciutti	benasciutti	PROPN
fis-2233	517	44	et	et	PROPN
fis-2233	517	45	alii	alii	PROPN
fis-2233	517	46	,	,	PUNCT
fis-2233	517	47	frattura	frattura	PROPN
fis-2233	517	48	ed	ed	PROPN
fis-2233	517	49	integrità	integrità	PROPN
fis-2233	517	50	strutturale	strutturale	PROPN
fis-2233	517	51	,	,	PUNCT
fis-2233	517	52	47	47	NUM
fis-2233	517	53	(	(	PUNCT
fis-2233	517	54	2019	2019	NUM
fis-2233	517	55	)	)	PUNCT
fis-2233	517	56	348	348	NUM
fis-2233	517	57	-	-	SYM
fis-2233	517	58	366	366	NUM
fis-2233	517	59	;	;	PUNCT
fis-2233	517	60	doi	doi	NOUN
fis-2233	517	61	:	:	PUNCT
fis-2233	517	62	10.3221	10.3221	NUM
fis-2233	517	63	/	/	SYM
fis-2233	517	64	igf	igf	PROPN
fis-2233	517	65	-	-	ADJ
fis-2233	517	66	esis.47.26	esis.47.26	ADJ
fis-2233	517	67	366	366	NUM
fis-2233	517	68	d(ω	d(ω	PROPN
fis-2233	517	69	)	)	PUNCT
fis-2233	517	70	total	total	ADJ
fis-2233	517	71	damage	damage	NOUN
fis-2233	517	72	for	for	ADP
fis-2233	517	73	stress	stress	ADJ
fis-2233	517	74	vector	vector	NOUN
fis-2233	517	75	ω(t	ω(t	NOUN
fis-2233	517	76	)	)	PUNCT
fis-2233	517	77	e	e	X
fis-2233	517	78	[	[	X
fis-2233	517	79	–	–	PUNCT
fis-2233	517	80	]	]	PUNCT
fis-2233	517	81	expected	expect	VERB
fis-2233	517	82	value	value	NOUN
fis-2233	517	83	g(f	g(f	PROPN
fis-2233	517	84	)	)	PUNCT
fis-2233	517	85	one	one	NUM
fis-2233	517	86	-	-	PUNCT
fis-2233	517	87	sided	sided	ADJ
fis-2233	517	88	psd	psd	NOUN
fis-2233	517	89	matrix	matrix	NOUN
fis-2233	517	90	of	of	ADP
fis-2233	517	91	x(t	x(t	PROPN
fis-2233	517	92	)	)	PUNCT
fis-2233	517	93	kσ	kσ	PROPN
fis-2233	517	94	,	,	PUNCT
fis-2233	517	95	kτ	kτ	PROPN
fis-2233	517	96	inverse	inverse	NOUN
fis-2233	517	97	slope	slope	NOUN
fis-2233	517	98	of	of	ADP
fis-2233	517	99	tension	tension	NOUN
fis-2233	517	100	and	and	CCONJ
fis-2233	517	101	torsion	torsion	NOUN
fis-2233	517	102	s	s	NOUN
fis-2233	517	103	-	-	PUNCT
fis-2233	517	104	n	n	NOUN
fis-2233	517	105	curve	curve	NOUN
fis-2233	517	106	ajj	ajj	PROPN
fis-2233	517	107	a2	a2	PROPN
fis-2233	517	108	,	,	PUNCT
fis-2233	517	109	amplitude	amplitude	NOUN
fis-2233	517	110	of	of	ADP
fis-2233	517	111	the	the	DET
fis-2233	517	112	square	square	ADJ
fis-2233	517	113	root	root	NOUN
fis-2233	517	114	of	of	ADP
fis-2233	517	115	second	second	ADJ
fis-2233	517	116	invariant	invariant	NOUN
fis-2233	517	117	of	of	ADP
fis-2233	517	118	stress	stress	NOUN
fis-2233	517	119	deviator	deviator	NOUN
fis-2233	517	120	ja,	ja,	PROPN
fis-2233	517	121	,	,	PUNCT
fis-2233	517	122	ja	ja	PROPN
fis-2233	517	123	,	,	PUNCT
fis-2233	517	124	τ	τ	PROPN
fis-2233	517	125	,	,	PUNCT
fis-2233	517	126	k	k	PROPN
fis-2233	517	127	,	,	PUNCT
fis-2233	517	128	kτ	kτ	PROPN
fis-2233	517	129	amplitude	amplitude	NOUN
fis-2233	517	130	strengths	strength	NOUN
fis-2233	517	131	and	and	CCONJ
fis-2233	517	132	inverse	inverse	NOUN
fis-2233	517	133	slopes	slope	NOUN
fis-2233	517	134	of	of	ADP
fis-2233	517	135	the	the	DET
fis-2233	517	136	tension	tension	NOUN
fis-2233	517	137	and	and	CCONJ
fis-2233	517	138	torsion	torsion	NOUN
fis-2233	517	139	s	s	NOUN
fis-2233	517	140	-	-	PUNCT
fis-2233	517	141	n	n	NOUN
fis-2233	517	142	curves	curve	NOUN
fis-2233	517	143	in	in	ADP
fis-2233	517	144	mwd	mwd	PROPN
fis-2233	517	145	ja	ja	PROPN
fis-2233	517	146	,	,	PUNCT
fis-2233	517	147	ref	ref	NOUN
fis-2233	517	148	,	,	PUNCT
fis-2233	517	149	kref	kref	ADJ
fis-2233	517	150	amplitude	amplitude	NOUN
fis-2233	517	151	strength	strength	NOUN
fis-2233	517	152	and	and	CCONJ
fis-2233	517	153	inverse	inverse	NOUN
fis-2233	517	154	slope	slope	NOUN
fis-2233	517	155	of	of	ADP
fis-2233	517	156	the	the	DET
fis-2233	517	157	reference	reference	NOUN
fis-2233	517	158	s	s	PROPN
fis-2233	517	159	-	-	PUNCT
fis-2233	517	160	n	n	DET
fis-2233	517	161	curve	curve	NOUN
fis-2233	517	162	in	in	ADP
fis-2233	517	163	mwd	mwd	PROPN
fis-2233	517	164	na	na	PART
fis-2233	517	165	reference	reference	NOUN
fis-2233	517	166	number	number	NOUN
fis-2233	517	167	of	of	ADP
fis-2233	517	168	cycles	cycle	NOUN
fis-2233	517	169	rij	rij	ADJ
fis-2233	517	170	correlation	correlation	NOUN
fis-2233	517	171	coefficient	coefficient	NOUN
fis-2233	517	172	between	between	ADP
fis-2233	517	173	xi(t	xi(t	NOUN
fis-2233	517	174	)	)	PUNCT
fis-2233	517	175	and	and	CCONJ
fis-2233	517	176	xj(t	xj(t	NUM
fis-2233	517	177	)	)	PUNCT
fis-2233	517	178	r(	r(	NOUN
fis-2233	517	179	)	)	PUNCT
fis-2233	517	180	correlation	correlation	NOUN
fis-2233	517	181	matrix	matrix	NOUN
fis-2233	517	182	of	of	ADP
fis-2233	517	183	x(t	x(t	PROPN
fis-2233	517	184	)	)	PUNCT
fis-2233	518	1	r'(	r'(	ADJ
fis-2233	518	2	)	)	PUNCT
fis-2233	518	3	correlation	correlation	NOUN
fis-2233	518	4	matrix	matrix	NOUN
fis-2233	518	5	of	of	ADP
fis-2233	518	6	s(t	s(t	PROPN
fis-2233	518	7	)	)	PUNCT
fis-2233	518	8	s(t	s(t	PROPN
fis-2233	518	9	)	)	PUNCT
fis-2233	518	10	deviatoric	deviatoric	ADJ
fis-2233	518	11	stress	stress	NOUN
fis-2233	518	12	vector	vector	NOUN
fis-2233	518	13	sh(f	sh(f	NOUN
fis-2233	518	14	)	)	PUNCT
fis-2233	518	15	two	two	NUM
fis-2233	518	16	-	-	PUNCT
fis-2233	518	17	sided	side	VERB
fis-2233	518	18	psd	psd	NOUN
fis-2233	518	19	of	of	ADP
fis-2233	518	20	hydrostatic	hydrostatic	ADJ
fis-2233	518	21	stress	stress	NOUN
fis-2233	518	22	σh(t	σh(t	NOUN
fis-2233	518	23	)	)	PUNCT
fis-2233	518	24	s(f	s(f	PROPN
fis-2233	518	25	)	)	PUNCT
fis-2233	518	26	two	two	NUM
fis-2233	518	27	-	-	PUNCT
fis-2233	518	28	sided	side	VERB
fis-2233	518	29	psd	psd	NOUN
fis-2233	518	30	matrix	matrix	NOUN
fis-2233	518	31	of	of	ADP
fis-2233	518	32	x(t	x(t	PROPN
fis-2233	518	33	)	)	PUNCT
fis-2233	518	34	s'(f	s'(f	VERB
fis-2233	518	35	)	)	PUNCT
fis-2233	518	36	two	two	NUM
fis-2233	518	37	-	-	PUNCT
fis-2233	518	38	sided	sided	ADJ
fis-2233	518	39	psd	psd	NOUN
fis-2233	518	40	matrix	matrix	NOUN
fis-2233	518	41	of	of	ADP
fis-2233	518	42	s(t	s(t	PROPN
fis-2233	518	43	)	)	PUNCT
fis-2233	518	44	s'p(f	s'p(f	NOUN
fis-2233	518	45	)	)	PUNCT
fis-2233	518	46	two	two	NUM
fis-2233	518	47	-	-	PUNCT
fis-2233	518	48	sided	side	VERB
fis-2233	518	49	psd	psd	NOUN
fis-2233	518	50	matrix	matrix	NOUN
fis-2233	518	51	in	in	ADP
fis-2233	518	52	the	the	DET
fis-2233	518	53	principal	principal	ADJ
fis-2233	518	54	coordinate	coordinate	NOUN
fis-2233	518	55	system	system	NOUN
fis-2233	518	56	tf	tf	X
fis-2233	518	57	time	time	NOUN
fis-2233	518	58	to	to	ADP
fis-2233	518	59	failure	failure	NOUN
fis-2233	518	60	(	(	PUNCT
fis-2233	518	61	seconds	second	NOUN
fis-2233	518	62	)	)	PUNCT
fis-2233	518	63	u	u	NOUN
fis-2233	518	64	matrix	matrix	NOUN
fis-2233	518	65	of	of	ADP
fis-2233	518	66	eigenvectors	eigenvector	NOUN
fis-2233	518	67	(	(	PUNCT
fis-2233	518	68	rotation	rotation	NOUN
fis-2233	518	69	matrix	matrix	NOUN
fis-2233	518	70	)	)	PUNCT
fis-2233	518	71	var(xi(t	var(xi(t	NOUN
fis-2233	518	72	)	)	PUNCT
fis-2233	518	73	)	)	PUNCT
fis-2233	518	74	variance	variance	NOUN
fis-2233	518	75	of	of	ADP
fis-2233	518	76	stress	stress	NOUN
fis-2233	518	77	xi(t	xi(t	NOUN
fis-2233	518	78	)	)	PUNCT
fis-2233	518	79	vh	vh	NUM
fis-2233	518	80	variance	variance	NOUN
fis-2233	518	81	of	of	ADP
fis-2233	518	82	hydrostatic	hydrostatic	ADJ
fis-2233	518	83	stress	stress	NOUN
fis-2233	518	84	σh(t	σh(t	NOUN
fis-2233	518	85	)	)	PUNCT
fis-2233	518	86	x(t	x(t	PROPN
fis-2233	518	87	)	)	PUNCT
fis-2233	518	88	stress	stress	NOUN
fis-2233	518	89	vector	vector	NOUN
fis-2233	518	90	in	in	ADP
fis-2233	518	91	physical	physical	ADJ
fis-2233	518	92	space	space	NOUN
fis-2233	518	93			NUM
fis-2233	518	94	time	time	NOUN
fis-2233	518	95	lag	lag	VERB
fis-2233	518	96	ηtb	ηtb	PROPN
fis-2233	518	97	,	,	PUNCT
fis-2233	518	98	i	i	PRON
fis-2233	518	99	bandwidth	bandwidth	ADJ
fis-2233	518	100	correction	correction	NOUN
fis-2233	518	101	factor	factor	NOUN
fis-2233	518	102	for	for	ADP
fis-2233	518	103	the	the	DET
fis-2233	518	104	psd	psd	NOUN
fis-2233	518	105	of	of	ADP
fis-2233	518	106	stress	stress	NOUN
fis-2233	518	107	projection	projection	PROPN
fis-2233	518	108	ωp	ωp	PROPN
fis-2233	518	109	,	,	PUNCT
fis-2233	518	110	i(t	i(t	PROPN
fis-2233	518	111	)	)	PUNCT
fis-2233	518	112	ρref	ρref	NOUN
fis-2233	518	113	stress	stress	NOUN
fis-2233	518	114	ratio	ratio	NOUN
fis-2233	518	115	σa	σa	PROPN
fis-2233	518	116	,	,	PUNCT
fis-2233	518	117	τa	τa	VERB
fis-2233	518	118	strength	strength	NOUN
fis-2233	518	119	amplitudes	amplitude	NOUN
fis-2233	518	120	at	at	ADP
fis-2233	518	121	na	na	ADP
fis-2233	518	122	cycles	cycle	NOUN
fis-2233	518	123	σh(t	σh(t	NUM
fis-2233	518	124	)	)	PUNCT
fis-2233	518	125	hydrostatic	hydrostatic	ADJ
fis-2233	518	126	stress	stress	NOUN
fis-2233	518	127	σx(t	σx(t	NOUN
fis-2233	518	128	)	)	PUNCT
fis-2233	518	129	,	,	PUNCT
fis-2233	518	130	σy(t	σy(t	PROPN
fis-2233	518	131	)	)	PUNCT
fis-2233	518	132	,	,	PUNCT
fis-2233	518	133	τxy(t	τxy(t	PROPN
fis-2233	518	134	)	)	PUNCT
fis-2233	518	135	stress	stress	NOUN
fis-2233	518	136	components	component	NOUN
fis-2233	518	137	σ(t	σ(t	NOUN
fis-2233	518	138	)	)	PUNCT
fis-2233	518	139	stress	stress	NOUN
fis-2233	518	140	tensor	tensor	NOUN
fis-2233	518	141	σ'(t	σ'(t	NOUN
fis-2233	518	142	)	)	PUNCT
fis-2233	518	143	deviatoric	deviatoric	ADJ
fis-2233	518	144	stress	stress	NOUN
fis-2233	518	145	tensor	tensor	NOUN
fis-2233	518	146	ωp,1(t	ωp,1(t	PROPN
fis-2233	518	147	)	)	PUNCT
fis-2233	518	148	,	,	PUNCT
fis-2233	518	149	ωp,2(t	ωp,2(t	NOUN
fis-2233	518	150	)	)	PUNCT
fis-2233	518	151	,	,	PUNCT
fis-2233	518	152	ωp,3(t	ωp,3(t	NUM
fis-2233	518	153	)	)	PUNCT
fis-2233	518	154	stress	stress	NOUN
fis-2233	518	155	projections	projection	NOUN
fis-2233	518	156	ω(t	ω(t	NOUN
fis-2233	518	157	)	)	PUNCT
fis-2233	518	158	vector	vector	NOUN
fis-2233	518	159	of	of	ADP
fis-2233	518	160	stress	stress	NOUN
fis-2233	518	161	projections	projection	NOUN
fis-2233	518	162	mwd	mwd	PROPN
fis-2233	518	163	modified	modify	VERB
fis-2233	518	164	wöhler	wöhl	ADJ
fis-2233	518	165	diagram	diagram	NOUN
fis-2233	518	166	<	<	X
fis-2233	518	167	<	<	X
fis-2233	518	168	/ascii85encodepages	/ascii85encodepage	NOUN
fis-2233	518	169	false	false	ADJ
fis-2233	518	170	/allowtransparency	/allowtransparency	NOUN
fis-2233	518	171	false	false	ADJ
fis-2233	518	172	/autopositionepsfiles	/autopositionepsfile	NOUN
fis-2233	518	173	true	true	ADJ
fis-2233	518	174	/autorotatepages	/autorotatepage	NOUN
fis-2233	518	175	/none	/none	PUNCT
fis-2233	518	176	/binding	/binding	PUNCT
fis-2233	519	1	/left	/left	ADJ
fis-2233	520	1	/calgrayprofile	/calgrayprofile	VERB
fis-2233	520	2	(	(	PUNCT
fis-2233	520	3	dot	dot	NOUN
fis-2233	520	4	gain	gain	NOUN
fis-2233	520	5	20	20	NUM
fis-2233	520	6	%	%	NOUN
fis-2233	520	7	)	)	PUNCT
fis-2233	520	8	/calrgbprofile	/calrgbprofile	PUNCT
fis-2233	521	1	(	(	PUNCT
fis-2233	521	2	srgb	srgb	PROPN
fis-2233	521	3	iec61966	iec61966	NOUN
fis-2233	521	4	-	-	PUNCT
fis-2233	521	5	2.1	2.1	NUM
fis-2233	521	6	)	)	PUNCT
fis-2233	521	7	/calcmykprofile	/calcmykprofile	PUNCT
fis-2233	522	1	(	(	PUNCT
fis-2233	522	2	u.s	u.s	PROPN
fis-2233	522	3	.	.	PROPN
fis-2233	522	4	web	web	NOUN
fis-2233	522	5	coated	coat	VERB
fis-2233	522	6	\050swop\051	\050swop\051	ADJ
fis-2233	522	7	v2	v2	NOUN
fis-2233	522	8	)	)	PUNCT
fis-2233	522	9	/srgbprofile	/srgbprofile	PUNCT
fis-2233	522	10	(	(	PUNCT
fis-2233	522	11	srgb	srgb	PROPN
fis-2233	522	12	iec61966	iec61966	NOUN
fis-2233	522	13	-	-	PUNCT
fis-2233	522	14	2.1	2.1	NUM
fis-2233	522	15	)	)	PUNCT
fis-2233	522	16	/cannotembedfontpolicy	/cannotembedfontpolicy	PUNCT
fis-2233	523	1	/error	/error	INTJ
fis-2233	523	2	/compatibilitylevel	/compatibilitylevel	NOUN
fis-2233	524	1	1.4	1.4	NUM
fis-2233	524	2	/compressobjects	/compressobject	NOUN
fis-2233	524	3	/tags	/tag	VERB
fis-2233	524	4	/compresspages	/compresspage	NOUN
fis-2233	524	5	true	true	ADJ
fis-2233	524	6	/convertimagestoindexed	/convertimagestoindexed	ADJ
fis-2233	524	7	true	true	ADJ
fis-2233	524	8	/passthroughjpegimages	/passthroughjpegimage	NOUN
fis-2233	524	9	true	true	ADJ
fis-2233	524	10	/createjobticket	/createjobticket	NOUN
fis-2233	524	11	false	false	ADJ
fis-2233	524	12	/defaultrenderingintent	/defaultrenderingintent	NOUN
fis-2233	524	13	/default	/default	PUNCT
fis-2233	524	14	/detectblends	/detectblend	NOUN
fis-2233	524	15	true	true	ADJ
fis-2233	524	16	/detectcurves	/detectcurve	VERB
fis-2233	525	1	0.0000	0.0000	NUM
fis-2233	525	2	/colorconversionstrategy	/colorconversionstrategy	NOUN
fis-2233	525	3	/cmyk	/cmyk	PUNCT
fis-2233	526	1	/dothumbnails	/dothumbnail	VERB
fis-2233	527	1	false	false	ADJ
fis-2233	527	2	/embedallfonts	/embedallfont	NOUN
fis-2233	527	3	true	true	ADJ
fis-2233	527	4	/embedopentype	/embedopentype	PUNCT
fis-2233	527	5	false	false	ADJ
fis-2233	527	6	/parseiccprofilesincomments	/parseiccprofilesincomment	NOUN
fis-2233	527	7	true	true	ADJ
fis-2233	527	8	/embedjoboptions	/embedjoboption	NOUN
fis-2233	527	9	true	true	ADJ
fis-2233	527	10	/dscreportinglevel	/dscreportinglevel	NOUN
fis-2233	527	11	0	0	NUM
fis-2233	527	12	/emitdscwarnings	/emitdscwarning	NOUN
fis-2233	527	13	false	false	ADJ
fis-2233	527	14	/endpage	/endpage	NOUN
fis-2233	527	15	-1	-1	NOUN
fis-2233	527	16	/imagememory	/imagememory	NUM
fis-2233	527	17	1048576	1048576	NUM
fis-2233	527	18	/lockdistillerparams	/lockdistillerparams	NOUN
fis-2233	527	19	false	false	ADJ
fis-2233	527	20	/maxsubsetpct	/maxsubsetpct	ADJ
fis-2233	527	21	100	100	NUM
fis-2233	527	22	/optimize	/optimize	NOUN
fis-2233	527	23	true	true	ADJ
fis-2233	527	24	/opm	/opm	NOUN
fis-2233	527	25	1	1	NUM
fis-2233	527	26	/parsedsccomments	/parsedsccomment	NOUN
fis-2233	527	27	true	true	ADJ
fis-2233	527	28	/parsedsccommentsfordocinfo	/parsedsccommentsfordocinfo	VERB
fis-2233	527	29	true	true	ADJ
fis-2233	527	30	/preservecopypage	/preservecopypage	NOUN
fis-2233	527	31	true	true	ADJ
fis-2233	527	32	/preservedicmykvalues	/preservedicmykvalue	NOUN
fis-2233	527	33	true	true	ADJ
fis-2233	527	34	/preserveepsinfo	/preserveepsinfo	NOUN
fis-2233	527	35	true	true	ADJ
fis-2233	527	36	/preserveflatness	/preserveflatness	NOUN
fis-2233	527	37	true	true	ADJ
fis-2233	527	38	/preservehalftoneinfo	/preservehalftoneinfo	PUNCT
fis-2233	527	39	false	false	ADJ
fis-2233	527	40	/preserveopicomments	/preserveopicomment	NOUN
fis-2233	527	41	true	true	ADJ
fis-2233	527	42	/preserveoverprintsettings	/preserveoverprintsetting	NOUN
fis-2233	527	43	true	true	ADJ
fis-2233	527	44	/startpage	/startpage	NOUN
fis-2233	527	45	1	1	NUM
fis-2233	527	46	/subsetfonts	/subsetfont	NOUN
fis-2233	527	47	true	true	ADJ
fis-2233	527	48	/transferfunctioninfo	/transferfunctioninfo	PUNCT
fis-2233	527	49	/apply	/apply	PUNCT
fis-2233	527	50	/ucrandbginfo	/ucrandbginfo	PUNCT
fis-2233	528	1	/preserve	/preserve	NOUN
fis-2233	528	2	/useprologue	/useprologue	NOUN
fis-2233	528	3	false	false	ADJ
fis-2233	528	4	/colorsettingsfile	/colorsettingsfile	NOUN
fis-2233	528	5	(	(	PUNCT
fis-2233	528	6	)	)	PUNCT
fis-2233	528	7	/alwaysembed	/alwaysembe	VERB
fis-2233	528	8	[	[	PUNCT
fis-2233	528	9	true	true	ADJ
fis-2233	528	10	]	]	PUNCT
fis-2233	528	11	/neverembed	/neverembed	PUNCT
fis-2233	529	1	[	[	PUNCT
fis-2233	529	2	true	true	ADJ
fis-2233	529	3	]	]	PUNCT
fis-2233	529	4	/antialiascolorimages	/antialiascolorimages	X
fis-2233	529	5	false	false	ADJ
fis-2233	529	6	/cropcolorimages	/cropcolorimages	PUNCT
fis-2233	529	7	true	true	ADJ
fis-2233	529	8	/colorimageminresolution	/colorimageminresolution	PUNCT
fis-2233	529	9	300	300	NUM
fis-2233	529	10	/colorimageminresolutionpolicy	/colorimageminresolutionpolicy	NOUN
fis-2233	529	11	/ok	/ok	ADJ
fis-2233	530	1	/downsamplecolorimages	/downsamplecolorimage	VERB
fis-2233	531	1	true	true	ADJ
fis-2233	531	2	/colorimagedownsampletype	/colorimagedownsampletype	PUNCT
fis-2233	531	3	/bicubic	/bicubic	NOUN
fis-2233	531	4	/colorimageresolution	/colorimageresolution	NOUN
fis-2233	532	1	300	300	NUM
fis-2233	532	2	/colorimagedepth	/colorimagedepth	PRON
fis-2233	532	3	-1	-1	INTJ
fis-2233	532	4	/colorimagemindownsampledepth	/colorimagemindownsampledepth	SYM
fis-2233	532	5	1	1	NUM
fis-2233	532	6	/colorimagedownsamplethreshold	/colorimagedownsamplethreshold	SYM
fis-2233	532	7	1.50000	1.50000	NUM
fis-2233	532	8	/encodecolorimages	/encodecolorimage	NOUN
fis-2233	532	9	true	true	ADJ
fis-2233	532	10	/colorimagefilter	/colorimagefilter	PUNCT
fis-2233	532	11	/dctencode	/dctencode	PUNCT
fis-2233	533	1	/autofiltercolorimages	/autofiltercolorimage	NOUN
fis-2233	533	2	true	true	ADJ
fis-2233	533	3	/colorimageautofilterstrategy	/colorimageautofilterstrategy	PUNCT
fis-2233	533	4	/jpeg	/jpeg	PUNCT
fis-2233	533	5	/coloracsimagedict	/coloracsimagedict	PUNCT
fis-2233	534	1	<	<	X
fis-2233	534	2	<	<	X
fis-2233	534	3	/qfactor	/qfactor	NOUN
fis-2233	534	4	0.15	0.15	NUM
fis-2233	534	5	/hsamples	/hsample	NOUN
fis-2233	535	1	[	[	X
fis-2233	535	2	1	1	NUM
fis-2233	535	3	1	1	NUM
fis-2233	535	4	1	1	NUM
fis-2233	535	5	1	1	NUM
fis-2233	535	6	]	]	PUNCT
fis-2233	535	7	/vsamples	/vsample	NOUN
fis-2233	536	1	[	[	X
fis-2233	536	2	1	1	NUM
fis-2233	536	3	1	1	NUM
fis-2233	536	4	1	1	NUM
fis-2233	536	5	1	1	NUM
fis-2233	536	6	]	]	PUNCT
fis-2233	536	7	>	>	PUNCT
fis-2233	536	8	>	>	X
fis-2233	536	9	/colorimagedict	/colorimagedict	PUNCT
fis-2233	537	1	<	<	X
fis-2233	537	2	<	<	X
fis-2233	537	3	/qfactor	/qfactor	NOUN
fis-2233	537	4	0.15	0.15	NUM
fis-2233	537	5	/hsamples	/hsample	NOUN
fis-2233	538	1	[	[	X
fis-2233	538	2	1	1	NUM
fis-2233	538	3	1	1	NUM
fis-2233	538	4	1	1	NUM
fis-2233	538	5	1	1	NUM
fis-2233	538	6	]	]	PUNCT
fis-2233	538	7	/vsamples	/vsample	NOUN
fis-2233	539	1	[	[	X
fis-2233	539	2	1	1	NUM
fis-2233	539	3	1	1	NUM
fis-2233	539	4	1	1	NUM
fis-2233	539	5	1	1	NUM
fis-2233	539	6	]	]	PUNCT
fis-2233	539	7	>	>	PUNCT
fis-2233	539	8	>	>	X
fis-2233	539	9	/jpeg2000coloracsimagedict	/jpeg2000coloracsimagedict	PUNCT
fis-2233	540	1	<	<	X
fis-2233	540	2	<	<	X
fis-2233	540	3	/tilewidth	/tilewidth	PUNCT
fis-2233	540	4	256	256	NUM
fis-2233	540	5	/tileheight	/tileheight	NUM
fis-2233	540	6	256	256	NUM
fis-2233	540	7	/quality	/quality	NOUN
fis-2233	540	8	30	30	NUM
fis-2233	540	9	>	>	PUNCT
fis-2233	540	10	>	>	X
fis-2233	540	11	/jpeg2000colorimagedict	/jpeg2000colorimagedict	PUNCT
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fis-2233	540	13	<	<	X
fis-2233	540	14	/tilewidth	/tilewidth	PUNCT
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fis-2233	540	16	/tileheight	/tileheight	NUM
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fis-2233	540	18	/quality	/quality	NOUN
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fis-2233	540	20	>	>	PUNCT
fis-2233	540	21	>	>	X
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fis-2233	540	23	false	false	ADJ
fis-2233	540	24	/cropgrayimages	/cropgrayimage	NOUN
fis-2233	540	25	true	true	ADJ
fis-2233	540	26	/grayimageminresolution	/grayimageminresolution	ADV
fis-2233	540	27	300	300	NUM
fis-2233	540	28	/grayimageminresolutionpolicy	/grayimageminresolutionpolicy	NOUN
fis-2233	540	29	/ok	/ok	ADJ
fis-2233	540	30	/downsamplegrayimages	/downsamplegrayimages	PUNCT
fis-2233	541	1	true	true	ADJ
fis-2233	541	2	/grayimagedownsampletype	/grayimagedownsampletype	INTJ
fis-2233	541	3	/bicubic	/bicubic	NOUN
fis-2233	541	4	/grayimageresolution	/grayimageresolution	NOUN
fis-2233	541	5	300	300	NUM
fis-2233	541	6	/grayimagedepth	/grayimagedepth	PUNCT
fis-2233	541	7	-1	-1	PUNCT
fis-2233	541	8	/grayimagemindownsampledepth	/grayimagemindownsampledepth	PUNCT
fis-2233	542	1	2	2	NUM
fis-2233	542	2	/grayimagedownsamplethreshold	/grayimagedownsamplethreshold	NUM
fis-2233	542	3	1.50000	1.50000	NUM
fis-2233	542	4	/encodegrayimages	/encodegrayimage	NOUN
fis-2233	542	5	true	true	ADJ
fis-2233	542	6	/grayimagefilter	/grayimagefilter	NOUN
fis-2233	542	7	/dctencode	/dctencode	PUNCT
fis-2233	543	1	/autofiltergrayimages	/autofiltergrayimages	VERB
fis-2233	543	2	true	true	ADJ
fis-2233	543	3	/grayimageautofilterstrategy	/grayimageautofilterstrategy	INTJ
fis-2233	543	4	/jpeg	/jpeg	PUNCT
fis-2233	543	5	/grayacsimagedict	/grayacsimagedict	PUNCT
fis-2233	544	1	<	<	X
fis-2233	544	2	<	<	X
fis-2233	544	3	/qfactor	/qfactor	NOUN
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fis-2233	544	5	/hsamples	/hsample	NOUN
fis-2233	545	1	[	[	X
fis-2233	545	2	1	1	NUM
fis-2233	545	3	1	1	NUM
fis-2233	545	4	1	1	NUM
fis-2233	545	5	1	1	NUM
fis-2233	545	6	]	]	PUNCT
fis-2233	545	7	/vsamples	/vsample	NOUN
fis-2233	546	1	[	[	X
fis-2233	546	2	1	1	NUM
fis-2233	546	3	1	1	NUM
fis-2233	546	4	1	1	NUM
fis-2233	546	5	1	1	NUM
fis-2233	546	6	]	]	PUNCT
fis-2233	546	7	>	>	PUNCT
fis-2233	546	8	>	>	X
fis-2233	546	9	/grayimagedict	/grayimagedict	PUNCT
fis-2233	547	1	<	<	X
fis-2233	547	2	<	<	X
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fis-2233	547	5	/hsamples	/hsample	NOUN
fis-2233	548	1	[	[	X
fis-2233	548	2	1	1	NUM
fis-2233	548	3	1	1	NUM
fis-2233	548	4	1	1	NUM
fis-2233	548	5	1	1	NUM
fis-2233	548	6	]	]	PUNCT
fis-2233	548	7	/vsamples	/vsample	NOUN
fis-2233	549	1	[	[	X
fis-2233	549	2	1	1	NUM
fis-2233	549	3	1	1	NUM
fis-2233	549	4	1	1	NUM
fis-2233	549	5	1	1	NUM
fis-2233	549	6	]	]	PUNCT
fis-2233	549	7	>	>	X
fis-2233	549	8	>	>	X
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fis-2233	550	1	<	<	X
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fis-2233	550	5	/tileheight	/tileheight	NUM
fis-2233	550	6	256	256	NUM
fis-2233	550	7	/quality	/quality	NOUN
fis-2233	550	8	30	30	NUM
fis-2233	550	9	>	>	PUNCT
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fis-2233	550	28	/monoimageminresolutionpolicy	/monoimageminresolutionpolicy	PUNCT
fis-2233	551	1	/ok	/ok	PROPN
fis-2233	551	2	/downsamplemonoimages	/downsamplemonoimage	VERB
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fis-2233	552	2	/monoimagedownsampletype	/monoimagedownsampletype	PUNCT
fis-2233	552	3	/bicubic	/bicubic	NOUN
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fis-2233	552	5	1200	1200	NUM
fis-2233	552	6	/monoimagedepth	/monoimagedepth	PRON
fis-2233	552	7	-1	-1	PUNCT
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fis-2233	553	2	1.50000	1.50000	NUM
fis-2233	553	3	/encodemonoimages	/encodemonoimage	NOUN
fis-2233	553	4	true	true	ADJ
fis-2233	553	5	/monoimagefilter	/monoimagefilter	ADP
fis-2233	553	6	/ccittfaxencode	/ccittfaxencode	INTJ
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fis-2233	554	1	<	<	X
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fis-2233	554	3	/k	/k	PUNCT
fis-2233	554	4	-1	-1	INTJ
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fis-2233	554	7	/allowpsxobjects	/allowpsxobjects	PROPN
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fis-2233	556	11	)	)	PUNCT
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fis-2233	565	3	>	>	X
fis-2233	565	4	/fra	/fra	PUNCT
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fis-2233	566	3	>	>	X
fis-2233	566	4	/gre	/gre	PUNCT
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fis-2233	566	7	>	>	X
fis-2233	566	8	/heb	/heb	X
fis-2233	566	9	<	<	X
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fis-2233	566	11	>	>	X
fis-2233	566	12	/hrv	/hrv	PROPN
fis-2233	567	1	(	(	PUNCT
fis-2233	567	2	za	za	PROPN
fis-2233	567	3	stvaranje	stvaranje	PROPN
fis-2233	567	4	adobe	adobe	PROPN
fis-2233	567	5	pdf	pdf	PROPN
fis-2233	567	6	dokumenata	dokumenata	PROPN
fis-2233	567	7	najpogodnijih	najpogodnijih	PROPN
fis-2233	567	8	za	za	PROPN
fis-2233	567	9	visokokvalitetni	visokokvalitetni	VERB
fis-2233	567	10	ispis	ispis	ADJ
fis-2233	567	11	prije	prije	NOUN
fis-2233	567	12	tiskanja	tiskanja	PROPN
fis-2233	567	13	koristite	koristite	PROPN
fis-2233	567	14	ove	ove	NOUN
fis-2233	567	15	postavke	postavke	NOUN
fis-2233	567	16	.	.	PUNCT
fis-2233	568	1	stvoreni	stvoreni	ADJ
fis-2233	568	2	pdf	pdf	NOUN
fis-2233	568	3	dokumenti	dokumenti	PROPN
fis-2233	568	4	mogu	mogu	PROPN
fis-2233	568	5	se	se	X
fis-2233	568	6	otvoriti	otvoriti	PROPN
fis-2233	568	7	acrobat	acrobat	PROPN
fis-2233	569	1	i	i	PRON
fis-2233	569	2	adobe	adobe	PROPN
fis-2233	569	3	reader	reader	PROPN
fis-2233	569	4	5.0	5.0	NUM
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fis-2233	575	3	>	>	X
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fis-2233	576	3	>	>	X
fis-2233	576	4	/nld	/nld	PUNCT
fis-2233	577	1	(	(	PUNCT
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fis-2233	577	21	kwaliteit	kwaliteit	PROPN
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fis-2233	578	5	documenten	documenten	NOUN
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fis-2233	578	7	worden	worden	PROPN
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fis-2233	578	10	acrobat	acrobat	PROPN
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fis-2233	579	1	/nor	/nor	PUNCT
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fis-2233	583	3	>	>	X
fis-2233	583	4	/sve	/sve	PROPN
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fis-2233	583	7	>	>	X
fis-2233	583	8	/tur	/tur	X
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fis-2233	583	15	>	>	X
fis-2233	583	16	/enu	/enu	PUNCT
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fis-2233	583	18	use	use	VERB
fis-2233	583	19	these	these	DET
fis-2233	583	20	settings	setting	NOUN
fis-2233	583	21	to	to	PART
fis-2233	583	22	create	create	VERB
fis-2233	583	23	adobe	adobe	PROPN
fis-2233	583	24	pdf	pdf	PROPN
fis-2233	583	25	documents	document	NOUN
fis-2233	583	26	best	well	ADV
fis-2233	583	27	suited	suit	VERB
fis-2233	583	28	for	for	ADP
fis-2233	583	29	high	high	ADJ
fis-2233	583	30	-	-	PUNCT
fis-2233	583	31	quality	quality	NOUN
fis-2233	583	32	prepress	prepress	NOUN
fis-2233	583	33	printing	printing	NOUN
fis-2233	583	34	.	.	PUNCT
fis-2233	584	1	created	create	VERB
fis-2233	584	2	pdf	pdf	NOUN
fis-2233	584	3	documents	document	NOUN
fis-2233	584	4	can	can	AUX
fis-2233	584	5	be	be	AUX
fis-2233	584	6	opened	open	VERB
fis-2233	584	7	with	with	ADP
fis-2233	584	8	acrobat	acrobat	PROPN
fis-2233	584	9	and	and	CCONJ
fis-2233	584	10	adobe	adobe	PROPN
fis-2233	584	11	reader	reader	PROPN
fis-2233	584	12	5.0	5.0	NUM
fis-2233	584	13	and	and	CCONJ
fis-2233	584	14	later	later	ADV
fis-2233	584	15	.	.	PUNCT
fis-2233	584	16	)	)	PUNCT
fis-2233	585	1	>	>	PUNCT
fis-2233	585	2	>	>	X
fis-2233	585	3	/namespace	/namespace	PUNCT
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fis-2233	586	3	adobe	adobe	PROPN
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fis-2233	586	5	(	(	PUNCT
fis-2233	586	6	common	common	ADJ
fis-2233	586	7	)	)	PUNCT
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fis-2233	586	9	1.0	1.0	NUM
fis-2233	586	10	)	)	PUNCT
fis-2233	586	11	]	]	PUNCT
fis-2233	587	1	/othernamespaces	/othernamespace	VERB
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fis-2233	587	3	<	<	X
fis-2233	587	4	<	<	X
fis-2233	587	5	/asreaderspreads	/asreaderspreads	X
fis-2233	587	6	false	false	ADJ
fis-2233	587	7	/cropimagestoframes	/cropimagestoframe	NOUN
fis-2233	587	8	true	true	ADJ
fis-2233	587	9	/errorcontrol	/errorcontrol	NOUN
fis-2233	588	1	/warnandcontinue	/warnandcontinue	PUNCT
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fis-2233	588	3	false	false	ADJ
fis-2233	588	4	/includeguidesgrids	/includeguidesgrid	NOUN
fis-2233	588	5	false	false	ADJ
fis-2233	588	6	/includenonprinting	/includenonprinting	NOUN
fis-2233	588	7	false	false	ADJ
fis-2233	588	8	/includeslug	/includeslug	INTJ
fis-2233	588	9	false	false	ADJ
fis-2233	588	10	/namespace	/namespace	NOUN
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fis-2233	589	10	)	)	PUNCT
fis-2233	589	11	]	]	PUNCT
fis-2233	589	12	/omitplacedbitmaps	/omitplacedbitmaps	PUNCT
fis-2233	590	1	false	false	ADJ
fis-2233	590	2	/omitplacedeps	/omitplacedeps	INTJ
fis-2233	590	3	false	false	ADJ
fis-2233	590	4	/omitplacedpdf	/omitplacedpdf	PUNCT
fis-2233	590	5	false	false	ADJ
fis-2233	590	6	/simulateoverprint	/simulateoverprint	NOUN
fis-2233	590	7	/legacy	/legacy	PUNCT
fis-2233	591	1	>	>	PUNCT
fis-2233	591	2	>	>	X
fis-2233	592	1	<	<	X
fis-2233	592	2	<	<	X
fis-2233	592	3	/addbleedmarks	/addbleedmarks	X
fis-2233	592	4	false	false	ADJ
fis-2233	592	5	/addcolorbars	/addcolorbars	INTJ
fis-2233	592	6	false	false	ADJ
fis-2233	592	7	/addcropmarks	/addcropmarks	PUNCT
fis-2233	592	8	false	false	ADJ
fis-2233	592	9	/addpageinfo	/addpageinfo	INTJ
fis-2233	592	10	false	false	ADJ
fis-2233	592	11	/addregmarks	/addregmark	NOUN
fis-2233	592	12	false	false	ADJ
fis-2233	592	13	/convertcolors	/convertcolor	NOUN
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fis-2233	592	15	/destinationprofilename	/destinationprofilename	PUNCT
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fis-2233	592	20	/downsample16bitimages	/downsample16bitimage	NOUN
fis-2233	592	21	true	true	ADJ
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fis-2233	593	3	/presetselector	/presetselector	X
fis-2233	593	4	/mediumresolution	/mediumresolution	NOUN
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fis-2233	593	6	>	>	X
fis-2233	593	7	/formelements	/formelement	NOUN
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fis-2233	594	2	/generatestructure	/generatestructure	PUNCT
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fis-2233	594	4	/includebookmarks	/includebookmark	NOUN
fis-2233	594	5	false	false	ADJ
fis-2233	594	6	/includehyperlinks	/includehyperlinks	INTJ
fis-2233	594	7	false	false	ADJ
fis-2233	594	8	/includeinteractive	/includeinteractive	ADJ
fis-2233	594	9	false	false	ADJ
fis-2233	594	10	/includelayers	/includelayer	NOUN
fis-2233	594	11	false	false	ADJ
fis-2233	594	12	/includeprofiles	/includeprofiles	INTJ
fis-2233	594	13	false	false	ADJ
fis-2233	594	14	/multimediahandling	/multimediahandling	NOUN
fis-2233	595	1	/useobjectsettings	/useobjectsettings	PRON
fis-2233	596	1	/namespace	/namespace	PUNCT
fis-2233	597	1	[	[	PUNCT
fis-2233	597	2	(	(	PUNCT
fis-2233	597	3	adobe	adobe	PROPN
fis-2233	597	4	)	)	PUNCT
fis-2233	597	5	(	(	PUNCT
fis-2233	597	6	creativesuite	creativesuite	NOUN
fis-2233	597	7	)	)	PUNCT
fis-2233	597	8	(	(	PUNCT
fis-2233	597	9	2.0	2.0	NUM
fis-2233	597	10	)	)	PUNCT
fis-2233	597	11	]	]	PUNCT
fis-2233	598	1	/pdfxoutputintentprofileselector	/pdfxoutputintentprofileselector	INTJ
fis-2233	598	2	/documentcmyk	/documentcmyk	PUNCT
fis-2233	599	1	/preserveediting	/preserveedite	VERB
fis-2233	599	2	true	true	ADJ
fis-2233	599	3	/untaggedcmykhandling	/untaggedcmykhandling	NOUN
fis-2233	599	4	/leaveuntagged	/leaveuntagge	VERB
fis-2233	599	5	/untaggedrgbhandling	/untaggedrgbhandling	NOUN
fis-2233	599	6	/usedocumentprofile	/usedocumentprofile	INTJ
fis-2233	599	7	/usedocumentbleed	/usedocumentbleed	NOUN
fis-2233	600	1	false	false	ADJ
fis-2233	600	2	>	>	PUNCT
fis-2233	600	3	>	>	X
fis-2233	600	4	]	]	PUNCT
fis-2233	600	5	>	>	PUNCT
fis-2233	600	6	>	>	X
fis-2233	600	7	setdistillerparams	setdistillerparam	NOUN
fis-2233	601	1	<	<	X
fis-2233	601	2	<	<	X
fis-2233	601	3	/hwresolution	/hwresolution	NOUN
fis-2233	602	1	[	[	X
fis-2233	602	2	2400	2400	NUM
fis-2233	602	3	2400	2400	NUM
fis-2233	602	4	]	]	PUNCT
fis-2233	602	5	/pagesize	/pagesize	X
fis-2233	603	1	[	[	X
fis-2233	603	2	612.000	612.000	NUM
fis-2233	603	3	792.000	792.000	NUM
fis-2233	603	4	]	]	PUNCT
fis-2233	603	5	>	>	PUNCT
fis-2233	603	6	>	>	X
fis-2233	603	7	setpagedevice	setpagedevice	PROPN