id	sid	tid	token	lemma	pos
fis-1504	1	1	microsoft	microsoft	PROPN
fis-1504	1	2	word	word	NOUN
fis-1504	1	3	numero_33_art_38	numero_33_art_38	PROPN
fis-1504	1	4	y.	y.	PROPN
fis-1504	1	5	wang	wang	PROPN
fis-1504	1	6	et	et	PROPN
fis-1504	1	7	alii	alii	PROPN
fis-1504	1	8	,	,	PUNCT
fis-1504	1	9	frattura	frattura	PROPN
fis-1504	1	10	ed	ed	PROPN
fis-1504	1	11	integrità	integrità	PROPN
fis-1504	1	12	strutturale	strutturale	PROPN
fis-1504	1	13	,	,	PUNCT
fis-1504	1	14	33	33	NUM
fis-1504	1	15	(	(	PUNCT
fis-1504	1	16	2015	2015	NUM
fis-1504	1	17	)	)	PUNCT
fis-1504	1	18	345	345	NUM
fis-1504	1	19	-	-	SYM
fis-1504	1	20	356	356	NUM
fis-1504	1	21	;	;	PUNCT
fis-1504	1	22	doi	doi	NOUN
fis-1504	1	23	:	:	PUNCT
fis-1504	1	24	10.3221	10.3221	NUM
fis-1504	1	25	/	/	SYM
fis-1504	1	26	igf	igf	PROPN
fis-1504	1	27	-	-	ADJ
fis-1504	1	28	esis.33.38	esis.33.38	PROPN
fis-1504	1	29	345	345	NUM
fis-1504	1	30	focussed	focusse	VERB
fis-1504	1	31	on	on	ADP
fis-1504	1	32	multiaxial	multiaxial	ADJ
fis-1504	1	33	fatigue	fatigue	NOUN
fis-1504	1	34	critical	critical	ADJ
fis-1504	1	35	plane	plane	NOUN
fis-1504	1	36	approach	approach	NOUN
fis-1504	1	37	to	to	ADP
fis-1504	1	38	multiaxial	multiaxial	ADJ
fis-1504	1	39	variable	variable	ADJ
fis-1504	1	40	amplitude	amplitude	NOUN
fis-1504	1	41	fatigue	fatigue	NOUN
fis-1504	1	42	loading	loading	NOUN
fis-1504	1	43	yingyu	yingyu	PROPN
fis-1504	1	44	wang	wang	PROPN
fis-1504	1	45	key	key	PROPN
fis-1504	1	46	laboratory	laboratory	NOUN
fis-1504	1	47	of	of	ADP
fis-1504	1	48	fundamental	fundamental	ADJ
fis-1504	1	49	science	science	NOUN
fis-1504	1	50	for	for	ADP
fis-1504	1	51	national	national	ADJ
fis-1504	1	52	defense	defense	NOUN
fis-1504	1	53	-	-	PUNCT
fis-1504	1	54	advanced	advance	VERB
fis-1504	1	55	design	design	NOUN
fis-1504	1	56	technology	technology	NOUN
fis-1504	1	57	of	of	ADP
fis-1504	1	58	flight	flight	NOUN
fis-1504	1	59	vehicle	vehicle	NOUN
fis-1504	1	60	,	,	PUNCT
fis-1504	1	61	nanjing	nanjing	PROPN
fis-1504	1	62	university	university	PROPN
fis-1504	1	63	of	of	ADP
fis-1504	1	64	aeronautics	aeronautics	PROPN
fis-1504	1	65	and	and	CCONJ
fis-1504	1	66	astronautics	astronautic	NOUN
fis-1504	1	67	,	,	PUNCT
fis-1504	1	68	nanjing	nanjing	PROPN
fis-1504	1	69	,	,	PUNCT
fis-1504	1	70	210016	210016	NUM
fis-1504	1	71	,	,	PUNCT
fis-1504	1	72	china	china	PROPN
fis-1504	1	73	yywang@nuaa.edu.cn	yywang@nuaa.edu.cn	PROPN
fis-1504	1	74	luca	luca	PROPN
fis-1504	1	75	susmel	susmel	PROPN
fis-1504	1	76	department	department	PROPN
fis-1504	1	77	of	of	ADP
fis-1504	1	78	civil	civil	ADJ
fis-1504	1	79	and	and	CCONJ
fis-1504	1	80	structural	structural	ADJ
fis-1504	1	81	engineering	engineering	NOUN
fis-1504	1	82	,	,	PUNCT
fis-1504	1	83	the	the	DET
fis-1504	1	84	university	university	PROPN
fis-1504	1	85	of	of	ADP
fis-1504	1	86	sheffield	sheffield	PROPN
fis-1504	1	87	,	,	PUNCT
fis-1504	1	88	sheffield	sheffield	NOUN
fis-1504	1	89	s1	s1	PROPN
fis-1504	1	90	3jd	3jd	PROPN
fis-1504	1	91	,	,	PUNCT
fis-1504	1	92	uk	uk	PROPN
fis-1504	1	93	l.susmel@sheffield.ac.uk	l.susmel@sheffield.ac.uk	ADJ
fis-1504	1	94	abstract	abstract	ADJ
fis-1504	1	95	.	.	PUNCT
fis-1504	2	1	a	a	DET
fis-1504	2	2	new	new	ADJ
fis-1504	2	3	critical	critical	ADJ
fis-1504	2	4	plane	plane	NOUN
fis-1504	2	5	approach	approach	NOUN
fis-1504	2	6	based	base	VERB
fis-1504	2	7	on	on	ADP
fis-1504	2	8	the	the	DET
fis-1504	2	9	modified	modify	VERB
fis-1504	2	10	manson	manson	NOUN
fis-1504	2	11	-	-	PUNCT
fis-1504	2	12	coffin	coffin	NOUN
fis-1504	2	13	curve	curve	NOUN
fis-1504	2	14	method	method	NOUN
fis-1504	2	15	(	(	PUNCT
fis-1504	2	16	mmccm	mmccm	NOUN
fis-1504	2	17	)	)	PUNCT
fis-1504	2	18	is	be	AUX
fis-1504	2	19	presented	present	VERB
fis-1504	2	20	in	in	ADP
fis-1504	2	21	this	this	DET
fis-1504	2	22	paper	paper	NOUN
fis-1504	2	23	for	for	ADP
fis-1504	2	24	predicting	predict	VERB
fis-1504	2	25	fatigue	fatigue	NOUN
fis-1504	2	26	lifetime	lifetime	NOUN
fis-1504	2	27	under	under	ADP
fis-1504	2	28	variable	variable	ADJ
fis-1504	2	29	amplitude	amplitude	NOUN
fis-1504	2	30	(	(	PUNCT
fis-1504	2	31	va	va	NOUN
fis-1504	2	32	)	)	PUNCT
fis-1504	2	33	multiaxial	multiaxial	ADJ
fis-1504	2	34	fatigue	fatigue	NOUN
fis-1504	2	35	loading	loading	NOUN
fis-1504	2	36	.	.	PUNCT
fis-1504	3	1	the	the	DET
fis-1504	3	2	critical	critical	ADJ
fis-1504	3	3	plane	plane	NOUN
fis-1504	3	4	is	be	AUX
fis-1504	3	5	assumed	assume	VERB
fis-1504	3	6	to	to	PART
fis-1504	3	7	coincide	coincide	VERB
fis-1504	3	8	with	with	ADP
fis-1504	3	9	that	that	DET
fis-1504	3	10	material	material	NOUN
fis-1504	3	11	plane	plane	NOUN
fis-1504	3	12	experiencing	experience	VERB
fis-1504	3	13	the	the	DET
fis-1504	3	14	maximum	maximum	ADJ
fis-1504	3	15	variance	variance	NOUN
fis-1504	3	16	of	of	ADP
fis-1504	3	17	the	the	DET
fis-1504	3	18	resolved	resolve	VERB
fis-1504	3	19	shear	shear	NOUN
fis-1504	3	20	strain	strain	NOUN
fis-1504	3	21	.	.	PUNCT
fis-1504	4	1	fatigue	fatigue	NOUN
fis-1504	4	2	damage	damage	NOUN
fis-1504	4	3	is	be	AUX
fis-1504	4	4	hypothesized	hypothesize	VERB
fis-1504	4	5	to	to	PART
fis-1504	4	6	be	be	AUX
fis-1504	4	7	a	a	DET
fis-1504	4	8	function	function	NOUN
fis-1504	4	9	of	of	ADP
fis-1504	4	10	both	both	CCONJ
fis-1504	4	11	the	the	DET
fis-1504	4	12	amplitude	amplitude	NOUN
fis-1504	4	13	of	of	ADP
fis-1504	4	14	the	the	DET
fis-1504	4	15	resolved	resolve	VERB
fis-1504	4	16	shear	shear	NOUN
fis-1504	4	17	strain	strain	NOUN
fis-1504	4	18	and	and	CCONJ
fis-1504	4	19	the	the	DET
fis-1504	4	20	so	so	ADV
fis-1504	4	21	-	-	PUNCT
fis-1504	4	22	called	call	VERB
fis-1504	4	23	critical	critical	ADJ
fis-1504	4	24	plane	plane	NOUN
fis-1504	4	25	stress	stress	NOUN
fis-1504	4	26	ratio	ratio	NOUN
fis-1504	4	27	.	.	PUNCT
fis-1504	5	1	the	the	DET
fis-1504	5	2	latter	latter	ADJ
fis-1504	5	3	quantity	quantity	NOUN
fis-1504	5	4	depends	depend	VERB
fis-1504	5	5	on	on	ADP
fis-1504	5	6	the	the	DET
fis-1504	5	7	mean	mean	ADJ
fis-1504	5	8	value	value	NOUN
fis-1504	5	9	and	and	CCONJ
fis-1504	5	10	the	the	DET
fis-1504	5	11	variance	variance	NOUN
fis-1504	5	12	of	of	ADP
fis-1504	5	13	the	the	DET
fis-1504	5	14	stress	stress	NOUN
fis-1504	5	15	perpendicular	perpendicular	NOUN
fis-1504	5	16	to	to	ADP
fis-1504	5	17	the	the	DET
fis-1504	5	18	critical	critical	ADJ
fis-1504	5	19	plane	plane	NOUN
fis-1504	5	20	as	as	ADV
fis-1504	5	21	well	well	ADV
fis-1504	5	22	as	as	ADP
fis-1504	5	23	on	on	ADP
fis-1504	5	24	the	the	DET
fis-1504	5	25	variance	variance	NOUN
fis-1504	5	26	of	of	ADP
fis-1504	5	27	the	the	DET
fis-1504	5	28	shear	shear	NOUN
fis-1504	5	29	stress	stress	NOUN
fis-1504	5	30	resolved	resolve	VERB
fis-1504	5	31	along	along	ADP
fis-1504	5	32	the	the	DET
fis-1504	5	33	direction	direction	NOUN
fis-1504	5	34	experiencing	experience	VERB
fis-1504	5	35	the	the	DET
fis-1504	5	36	maximum	maximum	ADJ
fis-1504	5	37	variance	variance	NOUN
fis-1504	5	38	of	of	ADP
fis-1504	5	39	the	the	DET
fis-1504	5	40	resolved	resolve	VERB
fis-1504	5	41	shear	shear	NOUN
fis-1504	5	42	strain	strain	NOUN
fis-1504	5	43	.	.	PUNCT
fis-1504	6	1	load	load	NOUN
fis-1504	6	2	cycles	cycle	NOUN
fis-1504	6	3	are	be	AUX
fis-1504	6	4	counted	count	VERB
fis-1504	6	5	from	from	ADP
fis-1504	6	6	the	the	DET
fis-1504	6	7	resolved	resolve	VERB
fis-1504	6	8	shear	shear	NOUN
fis-1504	6	9	strain	strain	NOUN
fis-1504	6	10	time	time	NOUN
fis-1504	6	11	history	history	NOUN
fis-1504	6	12	by	by	ADP
fis-1504	6	13	using	use	VERB
fis-1504	6	14	the	the	DET
fis-1504	6	15	classic	classic	ADJ
fis-1504	6	16	rain	rain	NOUN
fis-1504	6	17	flow	flow	NOUN
fis-1504	6	18	counting	counting	NOUN
fis-1504	6	19	method	method	NOUN
fis-1504	6	20	.	.	PUNCT
fis-1504	7	1	palmgren	palmgren	NOUN
fis-1504	7	2	-	-	PUNCT
fis-1504	7	3	miner	miner	NOUN
fis-1504	7	4	’s	’s	PART
fis-1504	7	5	linear	linear	ADJ
fis-1504	7	6	damage	damage	NOUN
fis-1504	7	7	rule	rule	NOUN
fis-1504	7	8	is	be	AUX
fis-1504	7	9	applied	apply	VERB
fis-1504	7	10	to	to	PART
fis-1504	7	11	estimate	estimate	VERB
fis-1504	7	12	cumulative	cumulative	ADJ
fis-1504	7	13	fatigue	fatigue	NOUN
fis-1504	7	14	damage	damage	NOUN
fis-1504	7	15	.	.	PUNCT
fis-1504	8	1	the	the	DET
fis-1504	8	2	accuracy	accuracy	NOUN
fis-1504	8	3	and	and	CCONJ
fis-1504	8	4	reliability	reliability	NOUN
fis-1504	8	5	of	of	ADP
fis-1504	8	6	the	the	DET
fis-1504	8	7	proposed	propose	VERB
fis-1504	8	8	approach	approach	NOUN
fis-1504	8	9	is	be	AUX
fis-1504	8	10	checked	check	VERB
fis-1504	8	11	by	by	ADP
fis-1504	8	12	using	use	VERB
fis-1504	8	13	several	several	ADJ
fis-1504	8	14	experimental	experimental	ADJ
fis-1504	8	15	data	datum	NOUN
fis-1504	8	16	taken	take	VERB
fis-1504	8	17	from	from	ADP
fis-1504	8	18	the	the	DET
fis-1504	8	19	literature	literature	NOUN
fis-1504	8	20	.	.	PUNCT
fis-1504	9	1	the	the	DET
fis-1504	9	2	estimated	estimate	VERB
fis-1504	9	3	fatigue	fatigue	NOUN
fis-1504	9	4	lives	life	NOUN
fis-1504	9	5	based	base	VERB
fis-1504	9	6	on	on	ADP
fis-1504	9	7	the	the	DET
fis-1504	9	8	new	new	ADJ
fis-1504	9	9	approach	approach	NOUN
fis-1504	9	10	are	be	AUX
fis-1504	9	11	seen	see	VERB
fis-1504	9	12	to	to	PART
fis-1504	9	13	be	be	AUX
fis-1504	9	14	in	in	ADP
fis-1504	9	15	sound	sound	ADJ
fis-1504	9	16	agreement	agreement	NOUN
fis-1504	9	17	with	with	ADP
fis-1504	9	18	the	the	DET
fis-1504	9	19	experimental	experimental	ADJ
fis-1504	9	20	results	result	NOUN
fis-1504	9	21	.	.	PUNCT
fis-1504	10	1	keywords	keyword	NOUN
fis-1504	10	2	.	.	PUNCT
fis-1504	11	1	multiaxial	multiaxial	ADJ
fis-1504	11	2	fatigue	fatigue	NOUN
fis-1504	11	3	;	;	PUNCT
fis-1504	11	4	variable	variable	ADJ
fis-1504	11	5	amplitude	amplitude	NOUN
fis-1504	11	6	loading	loading	NOUN
fis-1504	11	7	;	;	PUNCT
fis-1504	11	8	critical	critical	ADJ
fis-1504	11	9	plane	plane	NOUN
fis-1504	11	10	;	;	PUNCT
fis-1504	11	11	fatigue	fatigue	NOUN
fis-1504	11	12	life	life	NOUN
fis-1504	11	13	prediction	prediction	NOUN
fis-1504	11	14	.	.	PUNCT
fis-1504	12	1	introduction	introduction	NOUN
fis-1504	12	2	atigue	atigue	NOUN
fis-1504	12	3	life	life	NOUN
fis-1504	12	4	prediction	prediction	NOUN
fis-1504	12	5	approaches	approach	NOUN
fis-1504	12	6	based	base	VERB
fis-1504	12	7	on	on	ADP
fis-1504	12	8	the	the	DET
fis-1504	12	9	concept	concept	NOUN
fis-1504	12	10	of	of	ADP
fis-1504	12	11	the	the	DET
fis-1504	12	12	critical	critical	ADJ
fis-1504	12	13	plane	plane	NOUN
fis-1504	12	14	are	be	AUX
fis-1504	12	15	generally	generally	ADV
fis-1504	12	16	considered	consider	VERB
fis-1504	12	17	to	to	PART
fis-1504	12	18	be	be	AUX
fis-1504	12	19	accurate	accurate	ADJ
fis-1504	12	20	enough	enough	ADV
fis-1504	12	21	to	to	PART
fis-1504	12	22	estimate	estimate	VERB
fis-1504	12	23	fatigue	fatigue	NOUN
fis-1504	12	24	lifetime	lifetime	NOUN
fis-1504	12	25	under	under	ADP
fis-1504	12	26	multiaxial	multiaxial	ADJ
fis-1504	12	27	load	load	NOUN
fis-1504	12	28	histories	history	NOUN
fis-1504	12	29	.	.	PUNCT
fis-1504	13	1	the	the	DET
fis-1504	13	2	critical	critical	ADJ
fis-1504	13	3	plane	plane	NOUN
fis-1504	13	4	concept	concept	NOUN
fis-1504	13	5	is	be	AUX
fis-1504	13	6	based	base	VERB
fis-1504	13	7	on	on	ADP
fis-1504	13	8	the	the	DET
fis-1504	13	9	physical	physical	ADJ
fis-1504	13	10	observation	observation	NOUN
fis-1504	13	11	that	that	PRON
fis-1504	13	12	cracks	crack	VERB
fis-1504	13	13	initiate	initiate	VERB
fis-1504	13	14	and	and	CCONJ
fis-1504	13	15	grow	grow	VERB
fis-1504	13	16	on	on	ADP
fis-1504	13	17	some	some	DET
fis-1504	13	18	specific	specific	ADJ
fis-1504	13	19	material	material	NOUN
fis-1504	13	20	planes	plane	NOUN
fis-1504	13	21	.	.	PUNCT
fis-1504	14	1	we	we	PRON
fis-1504	14	2	believe	believe	VERB
fis-1504	14	3	there	there	PRON
fis-1504	14	4	are	be	VERB
fis-1504	14	5	three	three	NUM
fis-1504	14	6	key	key	ADJ
fis-1504	14	7	aspects	aspect	NOUN
fis-1504	14	8	needed	need	VERB
fis-1504	14	9	to	to	PART
fis-1504	14	10	be	be	AUX
fis-1504	14	11	considered	consider	VERB
fis-1504	14	12	when	when	SCONJ
fis-1504	14	13	applying	apply	VERB
fis-1504	14	14	the	the	DET
fis-1504	14	15	critical	critical	ADJ
fis-1504	14	16	plane	plane	NOUN
fis-1504	14	17	approach	approach	NOUN
fis-1504	14	18	to	to	PART
fis-1504	14	19	estimate	estimate	VERB
fis-1504	14	20	fatigue	fatigue	NOUN
fis-1504	14	21	lifetime	lifetime	NOUN
fis-1504	14	22	under	under	ADP
fis-1504	14	23	multiaxial	multiaxial	ADJ
fis-1504	14	24	variable	variable	ADJ
fis-1504	14	25	amplitude	amplitude	NOUN
fis-1504	14	26	loading	loading	NOUN
fis-1504	14	27	,	,	PUNCT
fis-1504	14	28	i.e.	i.e.	X
fis-1504	14	29	:	:	PUNCT
fis-1504	14	30	(	(	PUNCT
fis-1504	14	31	i	i	NOUN
fis-1504	14	32	)	)	PUNCT
fis-1504	14	33	determining	determine	VERB
fis-1504	14	34	the	the	DET
fis-1504	14	35	orientation	orientation	NOUN
fis-1504	14	36	of	of	ADP
fis-1504	14	37	the	the	DET
fis-1504	14	38	critical	critical	ADJ
fis-1504	14	39	plane	plane	NOUN
fis-1504	14	40	,	,	PUNCT
fis-1504	14	41	(	(	PUNCT
fis-1504	14	42	ii	ii	NOUN
fis-1504	14	43	)	)	PUNCT
fis-1504	14	44	counting	count	VERB
fis-1504	14	45	the	the	DET
fis-1504	14	46	fatigue	fatigue	NOUN
fis-1504	14	47	cycles	cycle	NOUN
fis-1504	14	48	and	and	CCONJ
fis-1504	14	49	(	(	PUNCT
fis-1504	14	50	iii	iii	NOUN
fis-1504	14	51	)	)	PUNCT
fis-1504	14	52	calculating	calculate	VERB
fis-1504	14	53	the	the	DET
fis-1504	14	54	amplitude	amplitude	NOUN
fis-1504	14	55	and	and	CCONJ
fis-1504	14	56	mean	mean	ADJ
fis-1504	14	57	value	value	NOUN
fis-1504	14	58	of	of	ADP
fis-1504	14	59	the	the	DET
fis-1504	14	60	stress	stress	NOUN
fis-1504	14	61	/	/	SYM
fis-1504	14	62	strain	strain	NOUN
fis-1504	14	63	components	component	NOUN
fis-1504	14	64	relative	relative	ADJ
fis-1504	14	65	to	to	ADP
fis-1504	14	66	the	the	DET
fis-1504	14	67	critical	critical	ADJ
fis-1504	14	68	plane	plane	NOUN
fis-1504	14	69	.	.	PUNCT
fis-1504	15	1	as	as	ADP
fis-1504	15	2	to	to	ADP
fis-1504	15	3	the	the	DET
fis-1504	15	4	available	available	ADJ
fis-1504	15	5	critical	critical	ADJ
fis-1504	15	6	plane	plane	NOUN
fis-1504	15	7	approaches	approach	NOUN
fis-1504	15	8	,	,	PUNCT
fis-1504	15	9	findley	findley	PROPN
fis-1504	15	10	[	[	X
fis-1504	15	11	1	1	NUM
fis-1504	15	12	]	]	X
fis-1504	15	13	determined	determine	VERB
fis-1504	15	14	the	the	DET
fis-1504	15	15	critical	critical	ADJ
fis-1504	15	16	plane	plane	NOUN
fis-1504	15	17	by	by	ADP
fis-1504	15	18	maximizing	maximize	VERB
fis-1504	15	19	a	a	DET
fis-1504	15	20	linear	linear	ADJ
fis-1504	15	21	combination	combination	NOUN
fis-1504	15	22	of	of	ADP
fis-1504	15	23	the	the	DET
fis-1504	15	24	shear	shear	NOUN
fis-1504	15	25	stress	stress	NOUN
fis-1504	15	26	amplitude	amplitude	NOUN
fis-1504	15	27	and	and	CCONJ
fis-1504	15	28	the	the	DET
fis-1504	15	29	maximum	maximum	ADJ
fis-1504	15	30	normal	normal	ADJ
fis-1504	15	31	stress	stress	NOUN
fis-1504	15	32	.	.	PUNCT
fis-1504	16	1	brown	brown	ADJ
fis-1504	16	2	and	and	CCONJ
fis-1504	16	3	miller	miller	NOUN
fis-1504	17	1	[	[	X
fis-1504	17	2	2	2	NUM
fis-1504	17	3	]	]	PUNCT
fis-1504	17	4	defined	define	VERB
fis-1504	17	5	the	the	DET
fis-1504	17	6	critical	critical	ADJ
fis-1504	17	7	plane	plane	NOUN
fis-1504	17	8	as	as	ADP
fis-1504	17	9	the	the	DET
fis-1504	17	10	plane	plane	NOUN
fis-1504	17	11	experiencing	experience	VERB
fis-1504	17	12	the	the	DET
fis-1504	17	13	maximum	maximum	ADJ
fis-1504	17	14	shear	shear	NOUN
fis-1504	17	15	strain	strain	NOUN
fis-1504	17	16	amplitude	amplitude	NOUN
fis-1504	17	17	.	.	PUNCT
fis-1504	18	1	wang	wang	PROPN
fis-1504	18	2	and	and	CCONJ
fis-1504	18	3	brown	brown	ADJ
fis-1504	19	1	[	[	X
fis-1504	19	2	3	3	NUM
fis-1504	19	3	]	]	PUNCT
fis-1504	19	4	have	have	AUX
fis-1504	19	5	also	also	ADV
fis-1504	19	6	proposed	propose	VERB
fis-1504	19	7	a	a	DET
fis-1504	19	8	modified	modify	VERB
fis-1504	19	9	version	version	NOUN
fis-1504	19	10	of	of	ADP
fis-1504	19	11	their	their	PRON
fis-1504	19	12	criterion	criterion	NOUN
fis-1504	19	13	by	by	ADP
fis-1504	19	14	defining	define	VERB
fis-1504	19	15	the	the	DET
fis-1504	19	16	critical	critical	ADJ
fis-1504	19	17	plane	plane	NOUN
fis-1504	19	18	as	as	ADP
fis-1504	19	19	the	the	DET
fis-1504	19	20	one	one	NOUN
fis-1504	19	21	experiencing	experience	VERB
fis-1504	19	22	not	not	PART
fis-1504	19	23	only	only	ADV
fis-1504	19	24	the	the	DET
fis-1504	19	25	maximum	maximum	ADJ
fis-1504	19	26	shear	shear	NOUN
fis-1504	19	27	strain	strain	NOUN
fis-1504	19	28	range	range	NOUN
fis-1504	19	29	,	,	PUNCT
fis-1504	19	30	but	but	CCONJ
fis-1504	19	31	also	also	ADV
fis-1504	19	32	the	the	DET
fis-1504	19	33	largest	large	ADJ
fis-1504	19	34	value	value	NOUN
fis-1504	19	35	of	of	ADP
fis-1504	19	36	the	the	DET
fis-1504	19	37	normal	normal	ADJ
fis-1504	19	38	strain	strain	NOUN
fis-1504	19	39	excursion	excursion	NOUN
fis-1504	19	40	.	.	PUNCT
fis-1504	20	1	fatemi	fatemi	PROPN
fis-1504	20	2	and	and	CCONJ
fis-1504	20	3	socie	socie	VERB
fis-1504	21	1	[	[	X
fis-1504	21	2	4	4	X
fis-1504	21	3	]	]	PUNCT
fis-1504	21	4	assumed	assume	VERB
fis-1504	21	5	that	that	SCONJ
fis-1504	21	6	the	the	DET
fis-1504	21	7	critical	critical	ADJ
fis-1504	21	8	plane	plane	NOUN
fis-1504	21	9	is	be	AUX
fis-1504	21	10	the	the	DET
fis-1504	21	11	plane	plane	NOUN
fis-1504	21	12	of	of	ADP
fis-1504	21	13	maximum	maximum	ADJ
fis-1504	21	14	shear	shear	NOUN
fis-1504	21	15	strain	strain	NOUN
fis-1504	21	16	amplitude	amplitude	NOUN
fis-1504	21	17	when	when	SCONJ
fis-1504	21	18	the	the	DET
fis-1504	21	19	crack	crack	NOUN
fis-1504	21	20	initiation	initiation	NOUN
fis-1504	21	21	process	process	NOUN
fis-1504	21	22	is	be	AUX
fis-1504	21	23	mode	mode	PROPN
fis-1504	21	24	ii	ii	PROPN
fis-1504	21	25	governed	govern	VERB
fis-1504	21	26	.	.	PUNCT
fis-1504	22	1	from	from	ADP
fis-1504	22	2	the	the	DET
fis-1504	22	3	brief	brief	ADJ
fis-1504	22	4	review	review	NOUN
fis-1504	22	5	presented	present	VERB
fis-1504	22	6	above	above	ADV
fis-1504	22	7	,	,	PUNCT
fis-1504	22	8	it	it	PRON
fis-1504	22	9	f	f	PROPN
fis-1504	22	10	y.	y.	PROPN
fis-1504	22	11	wang	wang	PROPN
fis-1504	22	12	et	et	PROPN
fis-1504	22	13	alii	alii	PROPN
fis-1504	22	14	,	,	PUNCT
fis-1504	22	15	frattura	frattura	PROPN
fis-1504	22	16	ed	ed	PROPN
fis-1504	22	17	integrità	integrità	PROPN
fis-1504	22	18	strutturale	strutturale	PROPN
fis-1504	22	19	,	,	PUNCT
fis-1504	22	20	33	33	NUM
fis-1504	22	21	(	(	PUNCT
fis-1504	22	22	2015	2015	NUM
fis-1504	22	23	)	)	PUNCT
fis-1504	22	24	345	345	NUM
fis-1504	22	25	-	-	SYM
fis-1504	22	26	356	356	NUM
fis-1504	22	27	;	;	PUNCT
fis-1504	22	28	doi	doi	NOUN
fis-1504	22	29	:	:	PUNCT
fis-1504	22	30	10.3221	10.3221	NUM
fis-1504	22	31	/	/	SYM
fis-1504	22	32	igf	igf	PROPN
fis-1504	22	33	-	-	ADJ
fis-1504	22	34	esis.33.38	esis.33.38	ADJ
fis-1504	22	35	346	346	NUM
fis-1504	22	36	becomes	become	VERB
fis-1504	22	37	clear	clear	ADJ
fis-1504	22	38	that	that	SCONJ
fis-1504	22	39	there	there	PRON
fis-1504	22	40	are	be	VERB
fis-1504	22	41	different	different	ADJ
fis-1504	22	42	ways	way	NOUN
fis-1504	22	43	to	to	PART
fis-1504	22	44	define	define	VERB
fis-1504	22	45	the	the	DET
fis-1504	22	46	critical	critical	ADJ
fis-1504	22	47	plane	plane	NOUN
fis-1504	22	48	itself	itself	PRON
fis-1504	22	49	.	.	PUNCT
fis-1504	23	1	however	however	ADV
fis-1504	23	2	,	,	PUNCT
fis-1504	23	3	it	it	PRON
fis-1504	23	4	is	be	AUX
fis-1504	23	5	not	not	PART
fis-1504	23	6	an	an	DET
fis-1504	23	7	easy	easy	ADJ
fis-1504	23	8	task	task	NOUN
fis-1504	23	9	to	to	PART
fis-1504	23	10	determine	determine	VERB
fis-1504	23	11	the	the	DET
fis-1504	23	12	orientation	orientation	NOUN
fis-1504	23	13	of	of	ADP
fis-1504	23	14	the	the	DET
fis-1504	23	15	critical	critical	ADJ
fis-1504	23	16	plane	plane	NOUN
fis-1504	23	17	when	when	SCONJ
fis-1504	23	18	the	the	DET
fis-1504	23	19	applied	apply	VERB
fis-1504	23	20	multiaxial	multiaxial	ADJ
fis-1504	23	21	load	load	NOUN
fis-1504	23	22	history	history	NOUN
fis-1504	23	23	varies	vary	VERB
fis-1504	23	24	randomly	randomly	ADV
fis-1504	23	25	.	.	PUNCT
fis-1504	24	1	several	several	ADJ
fis-1504	24	2	investigations	investigation	NOUN
fis-1504	24	3	[	[	X
fis-1504	24	4	5	5	NUM
fis-1504	24	5	-	-	SYM
fis-1504	24	6	9	9	NUM
fis-1504	24	7	]	]	PUNCT
fis-1504	24	8	have	have	AUX
fis-1504	24	9	been	be	AUX
fis-1504	24	10	published	publish	VERB
fis-1504	24	11	by	by	ADP
fis-1504	24	12	focusing	focus	VERB
fis-1504	24	13	attention	attention	NOUN
fis-1504	24	14	on	on	ADP
fis-1504	24	15	the	the	DET
fis-1504	24	16	determination	determination	NOUN
fis-1504	24	17	of	of	ADP
fis-1504	24	18	the	the	DET
fis-1504	24	19	critical	critical	ADJ
fis-1504	24	20	plane	plane	NOUN
fis-1504	24	21	under	under	ADP
fis-1504	24	22	multiaxial	multiaxial	ADJ
fis-1504	24	23	random	random	ADJ
fis-1504	24	24	loading	loading	NOUN
fis-1504	24	25	.	.	PUNCT
fis-1504	25	1	susmel	susmel	NOUN
fis-1504	26	1	[	[	X
fis-1504	26	2	9	9	NUM
fis-1504	26	3	]	]	PUNCT
fis-1504	26	4	have	have	AUX
fis-1504	26	5	recently	recently	ADV
fis-1504	26	6	formalized	formalize	VERB
fis-1504	26	7	a	a	DET
fis-1504	26	8	novel	novel	ADJ
fis-1504	26	9	technique	technique	NOUN
fis-1504	26	10	,	,	PUNCT
fis-1504	26	11	the	the	DET
fis-1504	26	12	shear	shear	NOUN
fis-1504	26	13	stress	stress	NOUN
fis-1504	26	14	-	-	PUNCT
fis-1504	26	15	maximum	maximum	ADJ
fis-1504	26	16	variance	variance	NOUN
fis-1504	26	17	method	method	NOUN
fis-1504	26	18	(	(	PUNCT
fis-1504	26	19	-mvm	-mvm	ADP
fis-1504	26	20	)	)	PUNCT
fis-1504	26	21	.	.	PUNCT
fis-1504	27	1	the	the	DET
fis-1504	27	2	maximum	maximum	ADJ
fis-1504	27	3	variance	variance	NOUN
fis-1504	27	4	method	method	NOUN
fis-1504	27	5	(	(	PUNCT
fis-1504	27	6	mvm	mvm	NOUN
fis-1504	27	7	)	)	PUNCT
fis-1504	27	8	postulates	postulate	VERB
fis-1504	27	9	that	that	SCONJ
fis-1504	27	10	the	the	DET
fis-1504	27	11	critical	critical	ADJ
fis-1504	27	12	plane	plane	NOUN
fis-1504	27	13	can	can	AUX
fis-1504	27	14	be	be	AUX
fis-1504	27	15	defined	define	VERB
fis-1504	27	16	as	as	ADP
fis-1504	27	17	that	that	DET
fis-1504	27	18	plane	plane	NOUN
fis-1504	27	19	containing	contain	VERB
fis-1504	27	20	the	the	DET
fis-1504	27	21	direction	direction	NOUN
fis-1504	27	22	(	(	PUNCT
fis-1504	27	23	passing	pass	VERB
fis-1504	27	24	through	through	ADP
fis-1504	27	25	the	the	DET
fis-1504	27	26	assumed	assumed	ADJ
fis-1504	27	27	critical	critical	ADJ
fis-1504	27	28	point	point	NOUN
fis-1504	27	29	)	)	PUNCT
fis-1504	27	30	that	that	PRON
fis-1504	27	31	experiences	experience	VERB
fis-1504	27	32	the	the	DET
fis-1504	27	33	maximum	maximum	ADJ
fis-1504	27	34	variance	variance	NOUN
fis-1504	27	35	of	of	ADP
fis-1504	27	36	the	the	DET
fis-1504	27	37	resolved	resolve	VERB
fis-1504	27	38	shear	shear	NOUN
fis-1504	27	39	stress	stress	NOUN
fis-1504	27	40	.	.	PUNCT
fis-1504	28	1	the	the	DET
fis-1504	28	2	peculiarity	peculiarity	NOUN
fis-1504	28	3	of	of	ADP
fis-1504	28	4	the	the	DET
fis-1504	28	5	mvm	mvm	NOUN
fis-1504	28	6	is	be	AUX
fis-1504	28	7	that	that	SCONJ
fis-1504	28	8	it	it	PRON
fis-1504	28	9	is	be	AUX
fis-1504	28	10	not	not	PART
fis-1504	28	11	necessary	necessary	ADJ
fis-1504	28	12	to	to	PART
fis-1504	28	13	calculate	calculate	VERB
fis-1504	28	14	the	the	DET
fis-1504	28	15	stress	stress	NOUN
fis-1504	28	16	/	/	SYM
fis-1504	28	17	strain	strain	NOUN
fis-1504	28	18	components	component	NOUN
fis-1504	28	19	relative	relative	ADJ
fis-1504	28	20	to	to	ADP
fis-1504	28	21	any	any	DET
fis-1504	28	22	plane	plane	NOUN
fis-1504	28	23	passing	pass	VERB
fis-1504	28	24	through	through	ADP
fis-1504	28	25	the	the	DET
fis-1504	28	26	assumed	assume	VERB
fis-1504	28	27	critical	critical	ADJ
fis-1504	28	28	point	point	NOUN
fis-1504	28	29	to	to	PART
fis-1504	28	30	determine	determine	VERB
fis-1504	28	31	the	the	DET
fis-1504	28	32	critical	critical	ADJ
fis-1504	28	33	plane	plane	NOUN
fis-1504	28	34	itself	itself	PRON
fis-1504	28	35	.	.	PUNCT
fis-1504	29	1	therefore	therefore	ADV
fis-1504	29	2	,	,	PUNCT
fis-1504	29	3	from	from	ADP
fis-1504	29	4	a	a	DET
fis-1504	29	5	computational	computational	ADJ
fis-1504	29	6	point	point	NOUN
fis-1504	29	7	of	of	ADP
fis-1504	29	8	view	view	NOUN
fis-1504	29	9	,	,	PUNCT
fis-1504	29	10	it	it	PRON
fis-1504	29	11	is	be	AUX
fis-1504	29	12	more	more	ADV
fis-1504	29	13	efficient	efficient	ADJ
fis-1504	29	14	than	than	ADP
fis-1504	29	15	the	the	DET
fis-1504	29	16	other	other	ADJ
fis-1504	29	17	existing	exist	VERB
fis-1504	29	18	methods	method	NOUN
fis-1504	29	19	.	.	PUNCT
fis-1504	30	1	in	in	ADP
fis-1504	30	2	order	order	NOUN
fis-1504	30	3	to	to	PART
fis-1504	30	4	take	take	VERB
fis-1504	30	5	into	into	ADP
fis-1504	30	6	account	account	NOUN
fis-1504	30	7	cyclic	cyclic	ADJ
fis-1504	30	8	hardening	hardening	NOUN
fis-1504	30	9	or	or	CCONJ
fis-1504	30	10	softening	soften	VERB
fis-1504	30	11	in	in	ADP
fis-1504	30	12	the	the	DET
fis-1504	30	13	fatigue	fatigue	NOUN
fis-1504	30	14	failure	failure	NOUN
fis-1504	30	15	criteria	criterion	NOUN
fis-1504	30	16	,	,	PUNCT
fis-1504	30	17	both	both	PRON
fis-1504	30	18	stress	stress	NOUN
fis-1504	30	19	and	and	CCONJ
fis-1504	30	20	strain	strain	NOUN
fis-1504	30	21	components	component	NOUN
fis-1504	30	22	are	be	AUX
fis-1504	30	23	recommended	recommend	VERB
fis-1504	30	24	to	to	PART
fis-1504	30	25	be	be	AUX
fis-1504	30	26	used	use	VERB
fis-1504	30	27	to	to	PART
fis-1504	30	28	estimate	estimate	VERB
fis-1504	30	29	the	the	DET
fis-1504	30	30	fatigue	fatigue	NOUN
fis-1504	30	31	damage	damage	NOUN
fis-1504	30	32	extent	extent	NOUN
fis-1504	30	33	.	.	PUNCT
fis-1504	31	1	as	as	ADP
fis-1504	31	2	to	to	ADP
fis-1504	31	3	the	the	DET
fis-1504	31	4	in	in	ADP
fis-1504	31	5	-	-	PUNCT
fis-1504	31	6	field	field	NOUN
fis-1504	31	7	usage	usage	NOUN
fis-1504	31	8	of	of	ADP
fis-1504	31	9	the	the	DET
fis-1504	31	10	available	available	ADJ
fis-1504	31	11	va	va	PROPN
fis-1504	31	12	multiaxial	multiaxial	ADJ
fis-1504	31	13	fatigue	fatigue	NOUN
fis-1504	31	14	life	life	NOUN
fis-1504	31	15	estimation	estimation	NOUN
fis-1504	31	16	techniques	technique	NOUN
fis-1504	31	17	,	,	PUNCT
fis-1504	31	18	correctly	correctly	ADV
fis-1504	31	19	performing	perform	VERB
fis-1504	31	20	the	the	DET
fis-1504	31	21	cycle	cycle	NOUN
fis-1504	31	22	counting	counting	NOUN
fis-1504	31	23	under	under	ADP
fis-1504	31	24	such	such	ADJ
fis-1504	31	25	complex	complex	ADJ
fis-1504	31	26	loading	loading	NOUN
fis-1504	31	27	conditions	condition	NOUN
fis-1504	31	28	is	be	AUX
fis-1504	31	29	one	one	NUM
fis-1504	31	30	of	of	ADP
fis-1504	31	31	the	the	DET
fis-1504	31	32	trickiest	tricky	ADJ
fis-1504	31	33	aspects	aspect	NOUN
fis-1504	31	34	[	[	X
fis-1504	31	35	10	10	NUM
fis-1504	31	36	]	]	PUNCT
fis-1504	31	37	.	.	PUNCT
fis-1504	32	1	even	even	ADV
fis-1504	32	2	though	though	SCONJ
fis-1504	32	3	there	there	PRON
fis-1504	32	4	are	be	VERB
fis-1504	32	5	a	a	DET
fis-1504	32	6	few	few	ADJ
fis-1504	32	7	methods	method	NOUN
fis-1504	32	8	suitable	suitable	ADJ
fis-1504	32	9	for	for	ADP
fis-1504	32	10	counting	count	VERB
fis-1504	32	11	the	the	DET
fis-1504	32	12	cycles	cycle	NOUN
fis-1504	32	13	under	under	ADP
fis-1504	32	14	uniaxial	uniaxial	ADJ
fis-1504	32	15	loading	loading	NOUN
fis-1504	32	16	,	,	PUNCT
fis-1504	32	17	among	among	ADP
fis-1504	32	18	these	these	DET
fis-1504	32	19	the	the	DET
fis-1504	32	20	rainflow	rainflow	ADJ
fis-1504	32	21	cycle	cycle	NOUN
fis-1504	32	22	counting	counting	NOUN
fis-1504	32	23	method	method	NOUN
fis-1504	32	24	[	[	X
fis-1504	32	25	11	11	NUM
fis-1504	32	26	]	]	PUNCT
fis-1504	32	27	has	have	AUX
fis-1504	32	28	been	be	AUX
fis-1504	32	29	most	most	ADV
fis-1504	32	30	widely	widely	ADV
fis-1504	32	31	and	and	CCONJ
fis-1504	32	32	successfully	successfully	ADV
fis-1504	32	33	used	use	VERB
fis-1504	32	34	.	.	PUNCT
fis-1504	33	1	the	the	DET
fis-1504	33	2	number	number	NOUN
fis-1504	33	3	of	of	ADP
fis-1504	33	4	published	publish	VERB
fis-1504	33	5	papers	paper	NOUN
fis-1504	33	6	dealing	deal	VERB
fis-1504	33	7	with	with	ADP
fis-1504	33	8	va	va	NOUN
fis-1504	33	9	multiaxial	multiaxial	ADJ
fis-1504	33	10	loading	loading	NOUN
fis-1504	33	11	histories	history	NOUN
fis-1504	33	12	is	be	AUX
fis-1504	33	13	small	small	ADJ
fis-1504	33	14	[	[	X
fis-1504	33	15	12	12	NUM
fis-1504	33	16	]	]	PUNCT
fis-1504	33	17	.	.	PUNCT
fis-1504	34	1	bannantine	bannantine	PROPN
fis-1504	34	2	and	and	CCONJ
fis-1504	34	3	socie	socie	VERB
fis-1504	35	1	[	[	X
fis-1504	35	2	13	13	NUM
fis-1504	35	3	]	]	PUNCT
fis-1504	35	4	proposed	propose	VERB
fis-1504	35	5	a	a	DET
fis-1504	35	6	method	method	NOUN
fis-1504	35	7	based	base	VERB
fis-1504	35	8	on	on	ADP
fis-1504	35	9	the	the	DET
fis-1504	35	10	critical	critical	ADJ
fis-1504	35	11	plane	plane	NOUN
fis-1504	35	12	concept	concept	NOUN
fis-1504	35	13	and	and	CCONJ
fis-1504	35	14	the	the	DET
fis-1504	35	15	rainflow	rainflow	ADJ
fis-1504	35	16	cycle	cycle	NOUN
fis-1504	35	17	counting	counting	NOUN
fis-1504	35	18	.	.	PUNCT
fis-1504	36	1	wang	wang	PROPN
fis-1504	36	2	and	and	CCONJ
fis-1504	36	3	brown	brown	ADJ
fis-1504	37	1	[	[	X
fis-1504	37	2	14	14	NUM
fis-1504	37	3	]	]	PUNCT
fis-1504	37	4	proposed	propose	VERB
fis-1504	37	5	a	a	DET
fis-1504	37	6	cycle	cycle	NOUN
fis-1504	37	7	counting	counting	NOUN
fis-1504	37	8	method	method	NOUN
fis-1504	37	9	based	base	VERB
fis-1504	37	10	on	on	ADP
fis-1504	37	11	the	the	DET
fis-1504	37	12	rainflow	rainflow	NOUN
fis-1504	37	13	and	and	CCONJ
fis-1504	37	14	a	a	DET
fis-1504	37	15	modified	modified	ADJ
fis-1504	37	16	von	von	PROPN
fis-1504	37	17	mises	mises	PROPN
fis-1504	37	18	equivalent	equivalent	ADJ
fis-1504	37	19	strain	strain	NOUN
fis-1504	37	20	.	.	PUNCT
fis-1504	38	1	the	the	DET
fis-1504	38	2	accuracy	accuracy	NOUN
fis-1504	38	3	of	of	ADP
fis-1504	38	4	the	the	DET
fis-1504	38	5	results	result	NOUN
fis-1504	38	6	predicted	predict	VERB
fis-1504	38	7	by	by	ADP
fis-1504	38	8	using	use	VERB
fis-1504	38	9	the	the	DET
fis-1504	38	10	critical	critical	ADJ
fis-1504	38	11	plane	plane	NOUN
fis-1504	38	12	approach	approach	NOUN
fis-1504	38	13	to	to	ADP
fis-1504	38	14	a	a	DET
fis-1504	38	15	great	great	ADJ
fis-1504	38	16	extent	extent	NOUN
fis-1504	38	17	relies	rely	VERB
fis-1504	38	18	on	on	ADP
fis-1504	38	19	the	the	DET
fis-1504	38	20	determination	determination	NOUN
fis-1504	38	21	of	of	ADP
fis-1504	38	22	the	the	DET
fis-1504	38	23	amplitude	amplitude	NOUN
fis-1504	38	24	and	and	CCONJ
fis-1504	38	25	mean	mean	ADJ
fis-1504	38	26	value	value	NOUN
fis-1504	38	27	of	of	ADP
fis-1504	38	28	the	the	DET
fis-1504	38	29	normal	normal	ADJ
fis-1504	38	30	and	and	CCONJ
fis-1504	38	31	shear	shear	NOUN
fis-1504	38	32	stresses	stress	NOUN
fis-1504	38	33	and	and	CCONJ
fis-1504	38	34	strains	strain	NOUN
fis-1504	38	35	acting	act	VERB
fis-1504	38	36	on	on	ADP
fis-1504	38	37	a	a	DET
fis-1504	38	38	particular	particular	ADJ
fis-1504	38	39	plane	plane	NOUN
fis-1504	38	40	[	[	X
fis-1504	38	41	15	15	NUM
fis-1504	38	42	]	]	PUNCT
fis-1504	38	43	.	.	PUNCT
fis-1504	39	1	for	for	ADP
fis-1504	39	2	a	a	DET
fis-1504	39	3	particular	particular	ADJ
fis-1504	39	4	plane	plane	NOUN
fis-1504	39	5	under	under	ADP
fis-1504	39	6	complex	complex	ADJ
fis-1504	39	7	loading	loading	NOUN
fis-1504	39	8	,	,	PUNCT
fis-1504	39	9	the	the	DET
fis-1504	39	10	direction	direction	NOUN
fis-1504	39	11	of	of	ADP
fis-1504	39	12	the	the	DET
fis-1504	39	13	normal	normal	ADJ
fis-1504	39	14	stress	stress	NOUN
fis-1504	39	15	/	/	SYM
fis-1504	39	16	strain	strain	NOUN
fis-1504	39	17	does	do	AUX
fis-1504	39	18	not	not	PART
fis-1504	39	19	change	change	VERB
fis-1504	39	20	over	over	ADP
fis-1504	39	21	time	time	NOUN
fis-1504	39	22	,	,	PUNCT
fis-1504	39	23	since	since	SCONJ
fis-1504	39	24	just	just	ADV
fis-1504	39	25	the	the	DET
fis-1504	39	26	magnitude	magnitude	NOUN
fis-1504	39	27	of	of	ADP
fis-1504	39	28	the	the	DET
fis-1504	39	29	normal	normal	ADJ
fis-1504	39	30	stress	stress	NOUN
fis-1504	39	31	/	/	SYM
fis-1504	39	32	strain	strain	NOUN
fis-1504	39	33	vector	vector	NOUN
fis-1504	39	34	varies	varie	NOUN
fis-1504	39	35	.	.	PUNCT
fis-1504	40	1	however	however	ADV
fis-1504	40	2	,	,	PUNCT
fis-1504	40	3	in	in	ADP
fis-1504	40	4	the	the	DET
fis-1504	40	5	most	most	ADV
fis-1504	40	6	general	general	ADJ
fis-1504	40	7	case	case	NOUN
fis-1504	40	8	,	,	PUNCT
fis-1504	40	9	the	the	DET
fis-1504	40	10	shear	shear	NOUN
fis-1504	40	11	stress	stress	NOUN
fis-1504	40	12	/	/	SYM
fis-1504	40	13	strain	strain	NOUN
fis-1504	40	14	vector	vector	NOUN
fis-1504	40	15	on	on	ADP
fis-1504	40	16	this	this	DET
fis-1504	40	17	particular	particular	ADJ
fis-1504	40	18	plane	plane	NOUN
fis-1504	40	19	changes	change	NOUN
fis-1504	40	20	in	in	ADP
fis-1504	40	21	both	both	DET
fis-1504	40	22	magnitude	magnitude	NOUN
fis-1504	40	23	and	and	CCONJ
fis-1504	40	24	direction	direction	NOUN
fis-1504	40	25	.	.	PUNCT
fis-1504	41	1	therefore	therefore	ADV
fis-1504	41	2	,	,	PUNCT
fis-1504	41	3	the	the	DET
fis-1504	41	4	tip	tip	NOUN
fis-1504	41	5	of	of	ADP
fis-1504	41	6	the	the	DET
fis-1504	41	7	shear	shear	NOUN
fis-1504	41	8	stress	stress	NOUN
fis-1504	41	9	/	/	SYM
fis-1504	41	10	strain	strain	NOUN
fis-1504	41	11	vector	vector	NOUN
fis-1504	41	12	draws	draw	VERB
fis-1504	41	13	an	an	DET
fis-1504	41	14	imaginary	imaginary	ADJ
fis-1504	41	15	curve	curve	NOUN
fis-1504	41	16	on	on	ADP
fis-1504	41	17	that	that	DET
fis-1504	41	18	plane	plane	NOUN
fis-1504	41	19	.	.	PUNCT
fis-1504	42	1	in	in	ADP
fis-1504	42	2	this	this	DET
fis-1504	42	3	situation	situation	NOUN
fis-1504	42	4	,	,	PUNCT
fis-1504	42	5	it	it	PRON
fis-1504	42	6	is	be	AUX
fis-1504	42	7	not	not	PART
fis-1504	42	8	an	an	DET
fis-1504	42	9	easy	easy	ADJ
fis-1504	42	10	task	task	NOUN
fis-1504	42	11	to	to	PART
fis-1504	42	12	calculate	calculate	VERB
fis-1504	42	13	the	the	DET
fis-1504	42	14	amplitude	amplitude	NOUN
fis-1504	42	15	and	and	CCONJ
fis-1504	42	16	mean	mean	ADJ
fis-1504	42	17	value	value	NOUN
fis-1504	42	18	of	of	ADP
fis-1504	42	19	the	the	DET
fis-1504	42	20	shear	shear	NOUN
fis-1504	42	21	stress	stress	NOUN
fis-1504	42	22	/	/	SYM
fis-1504	42	23	strain	strain	NOUN
fis-1504	42	24	on	on	ADP
fis-1504	42	25	a	a	DET
fis-1504	42	26	given	give	VERB
fis-1504	42	27	plane	plane	NOUN
fis-1504	42	28	.	.	PUNCT
fis-1504	43	1	there	there	PRON
fis-1504	43	2	are	be	VERB
fis-1504	43	3	several	several	ADJ
fis-1504	43	4	techniques	technique	NOUN
fis-1504	43	5	proposed	propose	VERB
fis-1504	43	6	to	to	PART
fis-1504	43	7	address	address	VERB
fis-1504	43	8	this	this	DET
fis-1504	43	9	problem	problem	NOUN
fis-1504	43	10	,	,	PUNCT
fis-1504	43	11	namely	namely	ADV
fis-1504	43	12	the	the	DET
fis-1504	43	13	longest	long	ADJ
fis-1504	43	14	chord	chord	NOUN
fis-1504	43	15	method	method	NOUN
fis-1504	43	16	,	,	PUNCT
fis-1504	43	17	the	the	DET
fis-1504	43	18	longest	long	ADJ
fis-1504	43	19	projection	projection	NOUN
fis-1504	43	20	method	method	NOUN
fis-1504	43	21	,	,	PUNCT
fis-1504	43	22	the	the	DET
fis-1504	43	23	minimum	minimum	ADJ
fis-1504	43	24	circumscribed	circumscribed	ADJ
fis-1504	43	25	circle	circle	NOUN
fis-1504	43	26	concept	concept	NOUN
fis-1504	43	27	,	,	PUNCT
fis-1504	43	28	and	and	CCONJ
fis-1504	43	29	the	the	DET
fis-1504	43	30	minimum	minimum	ADJ
fis-1504	43	31	circumscribed	circumscribed	ADJ
fis-1504	43	32	ellipse	ellipse	NOUN
fis-1504	43	33	method	method	NOUN
fis-1504	43	34	.	.	PUNCT
fis-1504	44	1	these	these	DET
fis-1504	44	2	methods	method	NOUN
fis-1504	44	3	have	have	AUX
fis-1504	44	4	been	be	AUX
fis-1504	44	5	discussed	discuss	VERB
fis-1504	44	6	in	in	ADP
fis-1504	44	7	the	the	DET
fis-1504	44	8	refs	ref	NOUN
fis-1504	44	9	[	[	X
fis-1504	44	10	9	9	NUM
fis-1504	44	11	,	,	PUNCT
fis-1504	44	12	15	15	NUM
fis-1504	44	13	]	]	PUNCT
fis-1504	44	14	.	.	PUNCT
fis-1504	45	1	the	the	DET
fis-1504	45	2	present	present	ADJ
fis-1504	45	3	paper	paper	NOUN
fis-1504	45	4	summarizes	summarize	VERB
fis-1504	45	5	an	an	DET
fis-1504	45	6	attempt	attempt	NOUN
fis-1504	45	7	of	of	ADP
fis-1504	45	8	extending	extend	VERB
fis-1504	45	9	the	the	DET
fis-1504	45	10	use	use	NOUN
fis-1504	45	11	of	of	ADP
fis-1504	45	12	the	the	DET
fis-1504	45	13	modified	modify	VERB
fis-1504	45	14	manson	manson	NOUN
fis-1504	45	15	-	-	PUNCT
fis-1504	45	16	coffin	coffin	NOUN
fis-1504	45	17	curve	curve	NOUN
fis-1504	45	18	method	method	NOUN
fis-1504	45	19	(	(	PUNCT
fis-1504	45	20	mmccm	mmccm	NOUN
fis-1504	45	21	)	)	PUNCT
fis-1504	45	22	to	to	ADP
fis-1504	45	23	those	those	DET
fis-1504	45	24	situations	situation	NOUN
fis-1504	45	25	where	where	SCONJ
fis-1504	45	26	complex	complex	ADJ
fis-1504	45	27	variable	variable	ADJ
fis-1504	45	28	amplitude	amplitude	NOUN
fis-1504	45	29	loadings	loading	NOUN
fis-1504	45	30	are	be	AUX
fis-1504	45	31	involved	involve	VERB
fis-1504	45	32	.	.	PUNCT
fis-1504	46	1	by	by	ADP
fis-1504	46	2	making	make	VERB
fis-1504	46	3	the	the	DET
fis-1504	46	4	most	most	ADJ
fis-1504	46	5	of	of	ADP
fis-1504	46	6	our	our	PRON
fis-1504	46	7	previous	previous	ADJ
fis-1504	46	8	experience	experience	NOUN
fis-1504	46	9	[	[	X
fis-1504	46	10	10	10	NUM
fis-1504	46	11	,	,	PUNCT
fis-1504	46	12	16	16	NUM
fis-1504	46	13	-	-	SYM
fis-1504	46	14	18	18	NUM
fis-1504	46	15	]	]	PUNCT
fis-1504	46	16	,	,	PUNCT
fis-1504	46	17	now	now	ADV
fis-1504	46	18	we	we	PRON
fis-1504	46	19	intend	intend	VERB
fis-1504	46	20	to	to	PART
fis-1504	46	21	use	use	VERB
fis-1504	46	22	the	the	DET
fis-1504	46	23	stain	stain	NOUN
fis-1504	46	24	-	-	PUNCT
fis-1504	46	25	based	base	VERB
fis-1504	46	26	mvm	mvm	NOUN
fis-1504	46	27	in	in	ADP
fis-1504	46	28	conjunction	conjunction	NOUN
fis-1504	46	29	with	with	ADP
fis-1504	46	30	mmccm	mmccm	NOUN
fis-1504	46	31	to	to	PART
fis-1504	46	32	predict	predict	VERB
fis-1504	46	33	fatigue	fatigue	NOUN
fis-1504	46	34	lifetime	lifetime	NOUN
fis-1504	46	35	under	under	ADP
fis-1504	46	36	va	va	PROPN
fis-1504	46	37	multiaxial	multiaxial	ADJ
fis-1504	46	38	fatigue	fatigue	NOUN
fis-1504	46	39	loading	loading	NOUN
fis-1504	46	40	.	.	PUNCT
fis-1504	47	1	in	in	ADP
fis-1504	47	2	more	more	ADJ
fis-1504	47	3	detail	detail	NOUN
fis-1504	47	4	,	,	PUNCT
fis-1504	47	5	the	the	DET
fis-1504	47	6	mmccm	mmccm	NOUN
fis-1504	47	7	is	be	AUX
fis-1504	47	8	suggested	suggest	VERB
fis-1504	47	9	here	here	ADV
fis-1504	47	10	as	as	ADP
fis-1504	47	11	being	be	AUX
fis-1504	47	12	applied	apply	VERB
fis-1504	47	13	in	in	ADP
fis-1504	47	14	conjunction	conjunction	NOUN
fis-1504	47	15	with	with	ADP
fis-1504	47	16	the	the	DET
fis-1504	47	17	maximum	maximum	ADJ
fis-1504	47	18	variance	variance	NOUN
fis-1504	47	19	method	method	NOUN
fis-1504	47	20	(	(	PUNCT
fis-1504	47	21	mvm	mvm	NOUN
fis-1504	47	22	)	)	PUNCT
fis-1504	47	23	to	to	PART
fis-1504	47	24	estimate	estimate	VERB
fis-1504	47	25	fatigue	fatigue	NOUN
fis-1504	47	26	lifetime	lifetime	NOUN
fis-1504	47	27	by	by	ADP
fis-1504	47	28	directly	directly	ADV
fis-1504	47	29	post	post	ADJ
fis-1504	47	30	-	-	ADJ
fis-1504	47	31	processing	process	VERB
fis-1504	47	32	the	the	DET
fis-1504	47	33	strain	strain	NOUN
fis-1504	47	34	state	state	NOUN
fis-1504	47	35	relative	relative	ADJ
fis-1504	47	36	to	to	ADP
fis-1504	47	37	that	that	DET
fis-1504	47	38	material	material	NOUN
fis-1504	47	39	plane	plane	NOUN
fis-1504	47	40	containing	contain	VERB
fis-1504	47	41	the	the	DET
fis-1504	47	42	direction	direction	NOUN
fis-1504	47	43	along	along	ADP
fis-1504	47	44	which	which	PRON
fis-1504	47	45	the	the	DET
fis-1504	47	46	variance	variance	NOUN
fis-1504	47	47	of	of	ADP
fis-1504	47	48	the	the	DET
fis-1504	47	49	resolved	resolve	VERB
fis-1504	47	50	shear	shear	NOUN
fis-1504	47	51	strain	strain	NOUN
fis-1504	47	52	is	be	AUX
fis-1504	47	53	maximized	maximize	VERB
fis-1504	47	54	.	.	PUNCT
fis-1504	48	1	since	since	SCONJ
fis-1504	48	2	,	,	PUNCT
fis-1504	48	3	by	by	ADP
fis-1504	48	4	definition	definition	NOUN
fis-1504	48	5	,	,	PUNCT
fis-1504	48	6	the	the	DET
fis-1504	48	7	resolved	resolve	VERB
fis-1504	48	8	shear	shear	NOUN
fis-1504	48	9	strain	strain	NOUN
fis-1504	48	10	is	be	AUX
fis-1504	48	11	a	a	DET
fis-1504	48	12	monodimensional	monodimensional	ADJ
fis-1504	48	13	quantity	quantity	NOUN
fis-1504	48	14	,	,	PUNCT
fis-1504	48	15	the	the	DET
fis-1504	48	16	rainflow	rainflow	NOUN
fis-1504	48	17	method	method	NOUN
fis-1504	48	18	can	can	AUX
fis-1504	48	19	directly	directly	ADV
fis-1504	48	20	be	be	AUX
fis-1504	48	21	used	use	VERB
fis-1504	48	22	to	to	PART
fis-1504	48	23	count	count	VERB
fis-1504	48	24	the	the	DET
fis-1504	48	25	loading	loading	NOUN
fis-1504	48	26	cycles	cycle	NOUN
fis-1504	48	27	.	.	PUNCT
fis-1504	49	1	after	after	ADP
fis-1504	49	2	counting	count	VERB
fis-1504	49	3	the	the	DET
fis-1504	49	4	cycles	cycle	NOUN
fis-1504	49	5	and	and	CCONJ
fis-1504	49	6	estimating	estimate	VERB
fis-1504	49	7	the	the	DET
fis-1504	49	8	fatigue	fatigue	NOUN
fis-1504	49	9	damage	damage	NOUN
fis-1504	49	10	for	for	ADP
fis-1504	49	11	each	each	DET
fis-1504	49	12	counted	count	VERB
fis-1504	49	13	cycle	cycle	NOUN
fis-1504	49	14	,	,	PUNCT
fis-1504	49	15	fatigue	fatigue	NOUN
fis-1504	49	16	lifetime	lifetime	NOUN
fis-1504	49	17	can	can	AUX
fis-1504	49	18	be	be	AUX
fis-1504	49	19	predicted	predict	VERB
fis-1504	49	20	directly	directly	ADV
fis-1504	49	21	by	by	ADP
fis-1504	49	22	using	use	VERB
fis-1504	49	23	the	the	DET
fis-1504	49	24	palmgren	palmgren	NOUN
fis-1504	49	25	-	-	PUNCT
fis-1504	49	26	miner	miner	NOUN
fis-1504	49	27	’s	’s	PART
fis-1504	49	28	linear	linear	ADJ
fis-1504	49	29	damage	damage	NOUN
fis-1504	49	30	rule	rule	NOUN
fis-1504	49	31	.	.	PUNCT
fis-1504	50	1	finally	finally	ADV
fis-1504	50	2	,	,	PUNCT
fis-1504	50	3	the	the	DET
fis-1504	50	4	validation	validation	NOUN
fis-1504	50	5	of	of	ADP
fis-1504	50	6	the	the	DET
fis-1504	50	7	new	new	ADJ
fis-1504	50	8	approach	approach	NOUN
fis-1504	50	9	is	be	AUX
fis-1504	50	10	presented	present	VERB
fis-1504	50	11	.	.	PUNCT
fis-1504	51	1	the	the	DET
fis-1504	51	2	shear	shear	NOUN
fis-1504	51	3	strain_maximum	strain_maximum	ADJ
fis-1504	51	4	variance	variance	NOUN
fis-1504	51	5	method	method	NOUN
fis-1504	51	6	(	(	PUNCT
fis-1504	51	7	-mvm	-mvm	NOUN
fis-1504	51	8	)	)	PUNCT
fis-1504	51	9	he	he	PRON
fis-1504	51	10	shear	shear	VERB
fis-1504	51	11	strain	strain	NOUN
fis-1504	51	12	-	-	PUNCT
fis-1504	51	13	maximum	maximum	NOUN
fis-1504	51	14	variance	variance	NOUN
fis-1504	51	15	method	method	NOUN
fis-1504	51	16	(	(	PUNCT
fis-1504	51	17	mvm	mvm	PROPN
fis-1504	51	18	)	)	PUNCT
fis-1504	51	19	assumes	assume	VERB
fis-1504	51	20	that	that	SCONJ
fis-1504	51	21	the	the	DET
fis-1504	51	22	critical	critical	ADJ
fis-1504	51	23	plane	plane	NOUN
fis-1504	51	24	can	can	AUX
fis-1504	51	25	be	be	AUX
fis-1504	51	26	defined	define	VERB
fis-1504	51	27	as	as	ADP
fis-1504	51	28	that	that	DET
fis-1504	51	29	plane	plane	NOUN
fis-1504	51	30	containing	contain	VERB
fis-1504	51	31	the	the	DET
fis-1504	51	32	direction	direction	NOUN
fis-1504	51	33	experiencing	experience	VERB
fis-1504	51	34	the	the	DET
fis-1504	51	35	maximum	maximum	ADJ
fis-1504	51	36	variance	variance	NOUN
fis-1504	51	37	of	of	ADP
fis-1504	51	38	the	the	DET
fis-1504	51	39	resolved	resolve	VERB
fis-1504	51	40	shear	shear	NOUN
fis-1504	51	41	strain	strain	NOUN
fis-1504	51	42	.	.	PUNCT
fis-1504	52	1	in	in	ADP
fis-1504	52	2	order	order	NOUN
fis-1504	52	3	to	to	PART
fis-1504	52	4	calculate	calculate	VERB
fis-1504	52	5	the	the	DET
fis-1504	52	6	shear	shear	NOUN
fis-1504	52	7	strain	strain	NOUN
fis-1504	52	8	relative	relative	ADJ
fis-1504	52	9	to	to	ADP
fis-1504	52	10	a	a	DET
fis-1504	52	11	generic	generic	ADJ
fis-1504	52	12	material	material	NOUN
fis-1504	52	13	plane	plane	NOUN
fis-1504	52	14	,	,	PUNCT
fis-1504	52	15			PUNCT
fis-1504	52	16	,	,	PUNCT
fis-1504	52	17	and	and	CCONJ
fis-1504	52	18	resolved	resolve	VERB
fis-1504	52	19	along	along	ADP
fis-1504	52	20	a	a	DET
fis-1504	52	21	generic	generic	ADJ
fis-1504	52	22	direction	direction	NOUN
fis-1504	52	23	,	,	PUNCT
fis-1504	52	24	q	q	INTJ
fis-1504	52	25	,	,	PUNCT
fis-1504	52	26	consider	consider	VERB
fis-1504	52	27	a	a	DET
fis-1504	52	28	body	body	NOUN
fis-1504	52	29	subjected	subject	VERB
fis-1504	52	30	to	to	ADP
fis-1504	52	31	an	an	DET
fis-1504	52	32	external	external	ADJ
fis-1504	52	33	system	system	NOUN
fis-1504	52	34	of	of	ADP
fis-1504	52	35	forces	force	NOUN
fis-1504	52	36	resulting	result	VERB
fis-1504	52	37	in	in	ADP
fis-1504	52	38	a	a	DET
fis-1504	52	39	triaxial	triaxial	ADJ
fis-1504	52	40	strain	strain	NOUN
fis-1504	52	41	state	state	NOUN
fis-1504	52	42	at	at	ADP
fis-1504	52	43	point	point	NOUN
fis-1504	52	44	o	o	PROPN
fis-1504	52	45	(	(	PUNCT
fis-1504	52	46	fig	fig	NOUN
fis-1504	52	47	.	.	PUNCT
fis-1504	53	1	1a	1a	NOUN
fis-1504	53	2	)	)	PUNCT
fis-1504	53	3	.	.	PUNCT
fis-1504	54	1	point	point	NOUN
fis-1504	54	2	o	o	NOUN
fis-1504	54	3	is	be	AUX
fis-1504	54	4	taken	take	VERB
fis-1504	54	5	as	as	ADP
fis-1504	54	6	the	the	DET
fis-1504	54	7	center	center	NOUN
fis-1504	54	8	of	of	ADP
fis-1504	54	9	the	the	DET
fis-1504	54	10	absolute	absolute	ADJ
fis-1504	54	11	system	system	NOUN
fis-1504	54	12	of	of	ADP
fis-1504	54	13	coordinates	coordinate	NOUN
fis-1504	54	14	,	,	PUNCT
fis-1504	54	15	oxyz	oxyz	PROPN
fis-1504	54	16	.	.	PUNCT
fis-1504	55	1	the	the	DET
fis-1504	55	2	time	time	NOUN
fis-1504	55	3	-	-	PUNCT
fis-1504	55	4	variable	variable	ADJ
fis-1504	55	5	strain	strain	NOUN
fis-1504	55	6	state	state	NOUN
fis-1504	55	7	at	at	ADP
fis-1504	55	8	point	point	NOUN
fis-1504	55	9	o	o	NOUN
fis-1504	55	10	is	be	AUX
fis-1504	55	11	defined	define	VERB
fis-1504	55	12	through	through	ADP
fis-1504	55	13	the	the	DET
fis-1504	55	14	following	follow	VERB
fis-1504	55	15	strain	strain	NOUN
fis-1504	55	16	tensor	tensor	NOUN
fis-1504	55	17	:	:	PUNCT
fis-1504	55	18			NOUN
fis-1504	55	19			PUNCT
fis-1504	55	20	x	x	PUNCT
fis-1504	56	1	xy	xy	PROPN
fis-1504	56	2	xz	xz	PROPN
fis-1504	57	1	x	x	PUNCT
fis-1504	57	2	xy	xy	PROPN
fis-1504	58	1	xz	xz	INTJ
fis-1504	58	2	yx	yx	INTJ
fis-1504	59	1	y	y	PROPN
fis-1504	59	2	yz	yz	PROPN
fis-1504	59	3	xy	xy	PROPN
fis-1504	60	1	y	y	PROPN
fis-1504	60	2	yz	yz	PROPN
fis-1504	60	3	zx	zx	INTJ
fis-1504	60	4	zy	zy	INTJ
fis-1504	60	5	z	z	PROPN
fis-1504	60	6	xz	xz	PROPN
fis-1504	61	1	yz	yz	PROPN
fis-1504	61	2	z	z	NOUN
fis-1504	61	3	1	1	NUM
fis-1504	61	4	1	1	NUM
fis-1504	61	5	ε	ε	X
fis-1504	61	6	(	(	PUNCT
fis-1504	61	7	t	t	PROPN
fis-1504	61	8	)	)	PUNCT
fis-1504	61	9	(	(	PUNCT
fis-1504	61	10	t	t	NOUN
fis-1504	61	11	)	)	PUNCT
fis-1504	61	12	(	(	PUNCT
fis-1504	61	13	t	t	NOUN
fis-1504	61	14	)	)	PUNCT
fis-1504	61	15	2	2	NUM
fis-1504	61	16	2ε	2ε	NOUN
fis-1504	61	17	(	(	PUNCT
fis-1504	61	18	t	t	PROPN
fis-1504	61	19	)	)	PUNCT
fis-1504	61	20	ε	ε	PROPN
fis-1504	61	21	(	(	PUNCT
fis-1504	61	22	t	t	PROPN
fis-1504	61	23	)	)	PUNCT
fis-1504	61	24	ε	ε	PROPN
fis-1504	61	25	(	(	PUNCT
fis-1504	61	26	t	t	PROPN
fis-1504	61	27	)	)	PUNCT
fis-1504	61	28	1	1	NUM
fis-1504	61	29	1	1	NUM
fis-1504	61	30	ε	ε	PROPN
fis-1504	61	31	t	t	PROPN
fis-1504	61	32	ε	ε	PROPN
fis-1504	61	33	(	(	PUNCT
fis-1504	61	34	t	t	PROPN
fis-1504	61	35	)	)	PUNCT
fis-1504	61	36	ε	ε	PROPN
fis-1504	61	37	(	(	PUNCT
fis-1504	61	38	t	t	PROPN
fis-1504	61	39	)	)	PUNCT
fis-1504	61	40	ε	ε	PROPN
fis-1504	61	41	(	(	PUNCT
fis-1504	61	42	t	t	PROPN
fis-1504	61	43	)	)	PUNCT
fis-1504	61	44	γ	γ	PROPN
fis-1504	61	45	(	(	PUNCT
fis-1504	61	46	t	t	PROPN
fis-1504	61	47	)	)	PUNCT
fis-1504	61	48	ε	ε	PROPN
fis-1504	61	49	(	(	PUNCT
fis-1504	61	50	t	t	PROPN
fis-1504	61	51	)	)	PUNCT
fis-1504	61	52	γ	γ	PROPN
fis-1504	61	53	(	(	PUNCT
fis-1504	61	54	t	t	PROPN
fis-1504	61	55	)	)	PUNCT
fis-1504	61	56	2	2	NUM
fis-1504	61	57	2	2	NUM
fis-1504	61	58	ε	ε	X
fis-1504	61	59	(	(	PUNCT
fis-1504	61	60	t	t	PROPN
fis-1504	61	61	)	)	PUNCT
fis-1504	61	62	ε	ε	PROPN
fis-1504	61	63	(	(	PUNCT
fis-1504	61	64	t	t	PROPN
fis-1504	61	65	)	)	PUNCT
fis-1504	61	66	ε	ε	PROPN
fis-1504	61	67	(	(	PUNCT
fis-1504	61	68	t	t	PROPN
fis-1504	61	69	)	)	PUNCT
fis-1504	61	70	1	1	NUM
fis-1504	61	71	1	1	NUM
fis-1504	61	72	γ	γ	X
fis-1504	61	73	(	(	PUNCT
fis-1504	61	74	t	t	PROPN
fis-1504	61	75	)	)	PUNCT
fis-1504	61	76	γ	γ	PROPN
fis-1504	61	77	(	(	PUNCT
fis-1504	61	78	t	t	PROPN
fis-1504	61	79	)	)	PUNCT
fis-1504	61	80	ε	ε	PROPN
fis-1504	61	81	(	(	PUNCT
fis-1504	61	82	t	t	PROPN
fis-1504	61	83	)	)	PUNCT
fis-1504	61	84	2	2	NUM
fis-1504	61	85	2	2	NUM
fis-1504	61	86			NUM
fis-1504	61	87			X
fis-1504	61	88			PRON
fis-1504	61	89			NOUN
fis-1504	61	90			NOUN
fis-1504	61	91			NUM
fis-1504	61	92			ADJ
fis-1504	61	93			NOUN
fis-1504	61	94			PROPN
fis-1504	61	95			NOUN
fis-1504	61	96			NOUN
fis-1504	61	97			NOUN
fis-1504	61	98			PROPN
fis-1504	61	99			PROPN
fis-1504	61	100			PROPN
fis-1504	61	101			PROPN
fis-1504	61	102			NOUN
fis-1504	61	103			PROPN
fis-1504	61	104			NOUN
fis-1504	61	105			NOUN
fis-1504	61	106			NOUN
fis-1504	61	107			NOUN
fis-1504	61	108			NOUN
fis-1504	61	109			PROPN
fis-1504	61	110			PROPN
fis-1504	61	111			NOUN
fis-1504	61	112			PROPN
fis-1504	61	113			NOUN
fis-1504	61	114			PROPN
fis-1504	61	115			PROPN
fis-1504	61	116	(	(	PUNCT
fis-1504	61	117	1	1	NUM
fis-1504	61	118	)	)	PUNCT
fis-1504	61	119	t	t	PROPN
fis-1504	61	120	y.	y.	PROPN
fis-1504	61	121	wang	wang	PROPN
fis-1504	61	122	et	et	PROPN
fis-1504	61	123	alii	alii	PROPN
fis-1504	61	124	,	,	PUNCT
fis-1504	61	125	frattura	frattura	PROPN
fis-1504	61	126	ed	ed	PROPN
fis-1504	61	127	integrità	integrità	PROPN
fis-1504	61	128	strutturale	strutturale	PROPN
fis-1504	61	129	,	,	PUNCT
fis-1504	61	130	33	33	NUM
fis-1504	61	131	(	(	PUNCT
fis-1504	61	132	2015	2015	NUM
fis-1504	61	133	)	)	PUNCT
fis-1504	61	134	345	345	NUM
fis-1504	61	135	-	-	SYM
fis-1504	61	136	356	356	NUM
fis-1504	61	137	;	;	PUNCT
fis-1504	61	138	doi	doi	NOUN
fis-1504	61	139	:	:	PUNCT
fis-1504	61	140	10.3221	10.3221	NUM
fis-1504	61	141	/	/	SYM
fis-1504	61	142	igf	igf	PROPN
fis-1504	61	143	-	-	ADJ
fis-1504	61	144	esis.33.38	esis.33.38	PROPN
fis-1504	61	145	347	347	NUM
fis-1504	61	146	where	where	SCONJ
fis-1504	61	147	x	x	PROPN
fis-1504	61	148	,	,	PUNCT
fis-1504	61	149	y	y	PROPN
fis-1504	61	150	and	and	CCONJ
fis-1504	61	151	z	z	PROPN
fis-1504	61	152	are	be	AUX
fis-1504	61	153	the	the	DET
fis-1504	61	154	three	three	NUM
fis-1504	61	155	normal	normal	ADJ
fis-1504	61	156	strains	strain	NOUN
fis-1504	61	157	,	,	PUNCT
fis-1504	61	158	and	and	CCONJ
fis-1504	61	159	xy	xy	PROPN
fis-1504	61	160	,	,	PUNCT
fis-1504	61	161	xz	xz	NOUN
fis-1504	61	162	and	and	CCONJ
fis-1504	61	163	yz	yz	NOUN
fis-1504	61	164	are	be	AUX
fis-1504	61	165	the	the	DET
fis-1504	61	166	total	total	ADJ
fis-1504	61	167	shear	shear	NOUN
fis-1504	61	168	strains	strain	VERB
fis-1504	61	169	.	.	PUNCT
fis-1504	62	1	the	the	DET
fis-1504	62	2	orientation	orientation	NOUN
fis-1504	62	3	of	of	ADP
fis-1504	62	4	a	a	DET
fis-1504	62	5	generic	generic	ADJ
fis-1504	62	6	material	material	NOUN
fis-1504	62	7	plane	plane	NOUN
fis-1504	62	8	,	,	PUNCT
fis-1504	62	9			NOUN
fis-1504	62	10	,	,	PUNCT
fis-1504	62	11	having	have	VERB
fis-1504	62	12	normal	normal	ADJ
fis-1504	62	13	unit	unit	NOUN
fis-1504	62	14	vector	vector	NOUN
fis-1504	62	15	n	n	PROPN
fis-1504	62	16	can	can	AUX
fis-1504	62	17	be	be	AUX
fis-1504	62	18	defined	define	VERB
fis-1504	62	19	through	through	ADP
fis-1504	62	20	angles	angle	NOUN
fis-1504	62	21			PROPN
fis-1504	62	22	and	and	CCONJ
fis-1504	62	23			PROPN
fis-1504	62	24	(	(	PUNCT
fis-1504	62	25	fig	fig	NOUN
fis-1504	62	26	.	.	PUNCT
fis-1504	63	1	1b	1b	NUM
fis-1504	63	2	)	)	PUNCT
fis-1504	63	3	.	.	PUNCT
fis-1504	64	1			PROPN
fis-1504	64	2	is	be	AUX
fis-1504	64	3	the	the	DET
fis-1504	64	4	angle	angle	NOUN
fis-1504	64	5	between	between	ADP
fis-1504	64	6	axis	axis	NOUN
fis-1504	64	7	x	x	PUNCT
fis-1504	64	8	and	and	CCONJ
fis-1504	64	9	the	the	DET
fis-1504	64	10	projection	projection	NOUN
fis-1504	64	11	of	of	ADP
fis-1504	64	12	unit	unit	NOUN
fis-1504	64	13	vector	vector	NOUN
fis-1504	64	14	n	n	PROPN
fis-1504	64	15	on	on	ADP
fis-1504	64	16	plane	plane	NOUN
fis-1504	64	17	x	x	PROPN
fis-1504	64	18	-	-	PUNCT
fis-1504	64	19	y.	y.	NOUN
fis-1504	64	20			PROPN
fis-1504	64	21	is	be	AUX
fis-1504	64	22	the	the	DET
fis-1504	64	23	angle	angle	NOUN
fis-1504	64	24	between	between	ADP
fis-1504	64	25	n	n	NOUN
fis-1504	64	26	and	and	CCONJ
fis-1504	64	27	axis	axis	ADJ
fis-1504	64	28	z.	z.	PROPN
fis-1504	65	1	a	a	DET
fis-1504	65	2	new	new	ADJ
fis-1504	65	3	system	system	NOUN
fis-1504	65	4	of	of	ADP
fis-1504	65	5	coordinates	coordinate	NOUN
fis-1504	65	6	,	,	PUNCT
fis-1504	65	7	onab	onab	ADJ
fis-1504	65	8	,	,	PUNCT
fis-1504	65	9	can	can	AUX
fis-1504	65	10	now	now	ADV
fis-1504	65	11	be	be	AUX
fis-1504	65	12	defined	define	VERB
fis-1504	65	13	.	.	PUNCT
fis-1504	66	1	the	the	DET
fis-1504	66	2	unit	unit	NOUN
fis-1504	66	3	vectors	vector	NOUN
fis-1504	66	4	defining	define	VERB
fis-1504	66	5	the	the	DET
fis-1504	66	6	orientation	orientation	NOUN
fis-1504	66	7	of	of	ADP
fis-1504	66	8	axes	axis	NOUN
fis-1504	66	9	n	n	CCONJ
fis-1504	66	10	,	,	PUNCT
fis-1504	66	11	a	a	PRON
fis-1504	66	12	and	and	CCONJ
fis-1504	66	13	b	b	NOUN
fis-1504	66	14	can	can	AUX
fis-1504	66	15	be	be	AUX
fis-1504	66	16	expressed	express	VERB
fis-1504	66	17	as	as	SCONJ
fis-1504	66	18	follows	follow	VERB
fis-1504	66	19	:	:	PUNCT
fis-1504	66	20			NOUN
fis-1504	67	1			SYM
fis-1504	67	2			NOUN
fis-1504	67	3			SYM
fis-1504	67	4			NOUN
fis-1504	67	5			SYM
fis-1504	67	6			NOUN
fis-1504	67	7			SYM
fis-1504	67	8			NOUN
fis-1504	67	9			PROPN
fis-1504	67	10	sin	sin	NOUN
fis-1504	67	11	cos	cos	ADP
fis-1504	67	12	sin	sin	PROPN
fis-1504	67	13	sin	sin	NOUN
fis-1504	67	14	cos	cos	PROPN
fis-1504	67	15	x	x	PROPN
fis-1504	67	16	y	y	PROPN
fis-1504	67	17	z	z	PROPN
fis-1504	67	18	n	n	CCONJ
fis-1504	67	19	n	n	CCONJ
fis-1504	67	20	n	n	CCONJ
fis-1504	67	21			X
fis-1504	67	22			PROPN
fis-1504	67	23			PROPN
fis-1504	67	24			PROPN
fis-1504	67	25			PROPN
fis-1504	67	26			PROPN
fis-1504	67	27			INTJ
fis-1504	67	28			PROPN
fis-1504	67	29			ADJ
fis-1504	67	30			NOUN
fis-1504	67	31			NOUN
fis-1504	67	32			NOUN
fis-1504	68	1			X
fis-1504	68	2			ADJ
fis-1504	68	3			ADJ
fis-1504	68	4			NOUN
fis-1504	68	5			NOUN
fis-1504	68	6			NOUN
fis-1504	68	7			NOUN
fis-1504	68	8			NOUN
fis-1504	68	9			ADJ
fis-1504	68	10			NOUN
fis-1504	68	11			PROPN
fis-1504	68	12	n	n	PROPN
fis-1504	68	13	;	;	PUNCT
fis-1504	68	14			NOUN
fis-1504	68	15			PROPN
fis-1504	68	16			NOUN
fis-1504	68	17			PROPN
fis-1504	68	18	sin	sin	NOUN
fis-1504	68	19	cos	cos	NOUN
fis-1504	68	20	0	0	PROPN
fis-1504	68	21	x	x	SYM
fis-1504	68	22	y	y	PROPN
fis-1504	68	23	z	z	PROPN
fis-1504	68	24	a	a	PRON
fis-1504	68	25	a	a	DET
fis-1504	68	26	a	a	DET
fis-1504	68	27			ADJ
fis-1504	68	28			PROPN
fis-1504	68	29			PROPN
fis-1504	68	30			ADJ
fis-1504	68	31			PROPN
fis-1504	68	32			ADJ
fis-1504	68	33			NOUN
fis-1504	68	34			NOUN
fis-1504	68	35			NOUN
fis-1504	69	1			NOUN
fis-1504	69	2			NUM
fis-1504	70	1			PROPN
fis-1504	70	2			PROPN
fis-1504	70	3			NOUN
fis-1504	70	4			NOUN
fis-1504	70	5			NOUN
fis-1504	70	6			NOUN
fis-1504	70	7			NOUN
fis-1504	70	8			ADJ
fis-1504	70	9			NOUN
fis-1504	70	10			PROPN
fis-1504	70	11	a	a	PRON
fis-1504	70	12	;	;	PUNCT
fis-1504	70	13			PROPN
fis-1504	70	14			PROPN
fis-1504	70	15			NOUN
fis-1504	70	16			SYM
fis-1504	70	17			NOUN
fis-1504	70	18			SYM
fis-1504	70	19			NOUN
fis-1504	70	20			PUNCT
fis-1504	70	21			NOUN
fis-1504	70	22			PUNCT
fis-1504	70	23	cos	cos	PROPN
fis-1504	70	24	cos	cos	PROPN
fis-1504	70	25	cos	cos	PROPN
fis-1504	70	26	sin	sin	PROPN
fis-1504	70	27	sin	sin	NOUN
fis-1504	70	28	x	x	X
fis-1504	70	29	y	y	PROPN
fis-1504	70	30	z	z	PROPN
fis-1504	70	31	b	b	PROPN
fis-1504	70	32	b	b	PROPN
fis-1504	70	33	b	b	PROPN
fis-1504	70	34			X
fis-1504	71	1			PROPN
fis-1504	71	2			PROPN
fis-1504	71	3			PROPN
fis-1504	71	4			PROPN
fis-1504	71	5			PROPN
fis-1504	71	6			INTJ
fis-1504	71	7			PROPN
fis-1504	71	8			ADJ
fis-1504	71	9			NOUN
fis-1504	71	10			NOUN
fis-1504	71	11			NOUN
fis-1504	72	1			X
fis-1504	72	2			ADJ
fis-1504	72	3			ADJ
fis-1504	72	4			NOUN
fis-1504	72	5			NOUN
fis-1504	72	6			NOUN
fis-1504	72	7			NOUN
fis-1504	72	8			NOUN
fis-1504	72	9			CCONJ
fis-1504	72	10			NOUN
fis-1504	72	11			PROPN
fis-1504	72	12	b	b	PROPN
fis-1504	72	13	(	(	PUNCT
fis-1504	72	14	2	2	NUM
fis-1504	72	15	)	)	PUNCT
fis-1504	72	16	figure	figure	NOUN
fis-1504	72	17	1	1	NUM
fis-1504	72	18	:	:	PUNCT
fis-1504	72	19	generic	generic	ADJ
fis-1504	72	20	plane	plane	NOUN
fis-1504	72	21	and	and	CCONJ
fis-1504	72	22	shear	shear	NOUN
fis-1504	72	23	strain	strain	NOUN
fis-1504	72	24	resolved	resolve	VERB
fis-1504	72	25	along	along	ADP
fis-1504	72	26	one	one	NUM
fis-1504	72	27	generic	generic	ADJ
fis-1504	72	28	direction	direction	NOUN
fis-1504	72	29	in	in	ADP
fis-1504	72	30	a	a	DET
fis-1504	72	31	body	body	NOUN
fis-1504	72	32	subjected	subject	VERB
fis-1504	72	33	to	to	ADP
fis-1504	72	34	an	an	DET
fis-1504	72	35	external	external	ADJ
fis-1504	72	36	system	system	NOUN
fis-1504	72	37	of	of	ADP
fis-1504	72	38	forces	force	NOUN
fis-1504	72	39	.	.	PUNCT
fis-1504	73	1	consider	consider	VERB
fis-1504	73	2	now	now	ADV
fis-1504	73	3	a	a	DET
fis-1504	73	4	generic	generic	ADJ
fis-1504	73	5	direction	direction	NOUN
fis-1504	73	6	q	q	NOUN
fis-1504	73	7	lying	lie	VERB
fis-1504	73	8	on	on	ADP
fis-1504	73	9	plane	plane	NOUN
fis-1504	73	10			NOUN
fis-1504	73	11	and	and	CCONJ
fis-1504	73	12	passing	pass	VERB
fis-1504	73	13	through	through	ADP
fis-1504	73	14	point	point	NOUN
fis-1504	73	15	o.	o.	NOUN
fis-1504	73	16	α	α	PROPN
fis-1504	73	17	is	be	AUX
fis-1504	73	18	the	the	DET
fis-1504	73	19	angle	angle	NOUN
fis-1504	73	20	between	between	ADP
fis-1504	73	21	direction	direction	NOUN
fis-1504	73	22	q	q	NOUN
fis-1504	73	23	and	and	CCONJ
fis-1504	73	24	axis	axis	ADJ
fis-1504	73	25	a.	a.	NOUN
fis-1504	73	26	the	the	DET
fis-1504	73	27	unit	unit	NOUN
fis-1504	73	28	vector	vector	NOUN
fis-1504	73	29	defining	define	VERB
fis-1504	73	30	the	the	DET
fis-1504	73	31	orientation	orientation	NOUN
fis-1504	73	32	of	of	ADP
fis-1504	73	33	q	q	NOUN
fis-1504	73	34	can	can	AUX
fis-1504	73	35	be	be	AUX
fis-1504	73	36	calculated	calculate	VERB
fis-1504	73	37	as	as	SCONJ
fis-1504	73	38	follows	follow	VERB
fis-1504	73	39	:	:	PUNCT
fis-1504	73	40			NOUN
fis-1504	74	1			SYM
fis-1504	74	2			NOUN
fis-1504	74	3			SYM
fis-1504	74	4			NOUN
fis-1504	74	5			SYM
fis-1504	74	6			NOUN
fis-1504	74	7			SYM
fis-1504	74	8			NOUN
fis-1504	74	9			SYM
fis-1504	74	10			NOUN
fis-1504	74	11			SYM
fis-1504	74	12			NOUN
fis-1504	74	13			SYM
fis-1504	74	14			NOUN
fis-1504	74	15			SYM
fis-1504	74	16			NOUN
fis-1504	74	17			SYM
fis-1504	74	18			NOUN
fis-1504	74	19			SYM
fis-1504	74	20			NOUN
fis-1504	74	21			SYM
fis-1504	74	22			NOUN
fis-1504	74	23			PUNCT
fis-1504	74	24	cos	cos	PROPN
fis-1504	74	25	sin	sin	PROPN
fis-1504	74	26	sin	sin	PROPN
fis-1504	74	27	cos	cos	PROPN
fis-1504	74	28	cos	cos	PROPN
fis-1504	74	29	cos	cos	PROPN
fis-1504	74	30	cos	cos	PROPN
fis-1504	74	31	sin	sin	PROPN
fis-1504	74	32	cos	cos	PROPN
fis-1504	74	33	sin	sin	NOUN
fis-1504	74	34	sin	sin	NOUN
fis-1504	74	35	sin	sin	NOUN
fis-1504	74	36	x	x	PUNCT
fis-1504	74	37	y	y	PROPN
fis-1504	74	38	z	z	NOUN
fis-1504	74	39	q	q	NOUN
fis-1504	74	40	q	q	X
fis-1504	74	41	q	q	X
fis-1504	74	42			X
fis-1504	74	43			PROPN
fis-1504	74	44			X
fis-1504	74	45			X
fis-1504	74	46			ADJ
fis-1504	74	47			NOUN
fis-1504	74	48			ADJ
fis-1504	74	49			X
fis-1504	74	50			X
fis-1504	74	51			ADJ
fis-1504	74	52			X
fis-1504	74	53			PROPN
fis-1504	74	54			NUM
fis-1504	74	55			ADJ
fis-1504	74	56			PROPN
fis-1504	74	57			NOUN
fis-1504	74	58			NOUN
fis-1504	74	59			NOUN
fis-1504	74	60			NOUN
fis-1504	75	1			PROPN
fis-1504	75	2			PROPN
fis-1504	75	3			PROPN
fis-1504	75	4			PROPN
fis-1504	75	5			PROPN
fis-1504	75	6			NOUN
fis-1504	75	7			NOUN
fis-1504	75	8			NOUN
fis-1504	75	9			NOUN
fis-1504	75	10			NOUN
fis-1504	75	11			CCONJ
fis-1504	75	12			NOUN
fis-1504	75	13			PROPN
fis-1504	75	14	q	q	X
fis-1504	75	15	(	(	PUNCT
fis-1504	75	16	3	3	NUM
fis-1504	75	17	)	)	PUNCT
fis-1504	75	18	according	accord	VERB
fis-1504	75	19	to	to	ADP
fis-1504	75	20	the	the	DET
fis-1504	75	21	definition	definition	NOUN
fis-1504	75	22	reported	report	VERB
fis-1504	75	23	above	above	ADV
fis-1504	75	24	,	,	PUNCT
fis-1504	75	25	the	the	DET
fis-1504	75	26	instantaneous	instantaneous	ADJ
fis-1504	75	27	value	value	NOUN
fis-1504	75	28	of	of	ADP
fis-1504	75	29	the	the	DET
fis-1504	75	30	shear	shear	NOUN
fis-1504	75	31	strain	strain	NOUN
fis-1504	75	32	resolved	resolve	VERB
fis-1504	75	33	along	along	ADP
fis-1504	75	34	direction	direction	NOUN
fis-1504	75	35	q	q	NOUN
fis-1504	75	36	,	,	PUNCT
fis-1504	75	37	q	q	X
fis-1504	75	38	(	(	PUNCT
fis-1504	75	39	)	)	PUNCT
fis-1504	75	40	t	t	NOUN
fis-1504	75	41	,	,	PUNCT
fis-1504	75	42	can	can	AUX
fis-1504	75	43	then	then	ADV
fis-1504	75	44	be	be	AUX
fis-1504	75	45	calculated	calculate	VERB
fis-1504	75	46	as	as	ADP
fis-1504	75	47	:	:	PUNCT
fis-1504	75	48	x	x	X
fis-1504	75	49	xy	xy	PROPN
fis-1504	75	50	xz	xz	PROPN
fis-1504	75	51	q	q	PROPN
fis-1504	76	1	y	y	INTJ
fis-1504	76	2	xy	xy	PROPN
fis-1504	77	1	y	y	PROPN
fis-1504	77	2	yz	yz	PROPN
fis-1504	77	3	xz	xz	PROPN
fis-1504	78	1	yz	yz	PROPN
fis-1504	78	2	z	z	PROPN
fis-1504	78	3	1	1	NUM
fis-1504	78	4	1	1	NUM
fis-1504	78	5	ε	ε	X
fis-1504	78	6	(	(	PUNCT
fis-1504	78	7	t	t	PROPN
fis-1504	78	8	)	)	PUNCT
fis-1504	78	9	(	(	PUNCT
fis-1504	78	10	t	t	NOUN
fis-1504	78	11	)	)	PUNCT
fis-1504	78	12	(	(	PUNCT
fis-1504	78	13	t	t	NOUN
fis-1504	78	14	)	)	PUNCT
fis-1504	78	15	2	2	NUM
fis-1504	78	16	2	2	NUM
fis-1504	78	17	γ	γ	X
fis-1504	78	18	(	(	PUNCT
fis-1504	78	19	)	)	PUNCT
fis-1504	78	20	1	1	NUM
fis-1504	78	21	1	1	NUM
fis-1504	78	22	γ	γ	X
fis-1504	78	23	(	(	PUNCT
fis-1504	78	24	t	t	PROPN
fis-1504	78	25	)	)	PUNCT
fis-1504	78	26	ε	ε	PROPN
fis-1504	78	27	(	(	PUNCT
fis-1504	78	28	t	t	PROPN
fis-1504	78	29	)	)	PUNCT
fis-1504	78	30	γ	γ	PROPN
fis-1504	78	31	(	(	PUNCT
fis-1504	78	32	t	t	PROPN
fis-1504	78	33	)	)	PUNCT
fis-1504	78	34	2	2	NUM
fis-1504	78	35	2	2	NUM
fis-1504	78	36	2	2	NUM
fis-1504	78	37	1	1	NUM
fis-1504	78	38	1	1	NUM
fis-1504	78	39	γ	γ	X
fis-1504	78	40	(	(	PUNCT
fis-1504	78	41	t	t	PROPN
fis-1504	78	42	)	)	PUNCT
fis-1504	78	43	γ	γ	PROPN
fis-1504	78	44	(	(	PUNCT
fis-1504	78	45	t	t	PROPN
fis-1504	78	46	)	)	PUNCT
fis-1504	78	47	ε	ε	PROPN
fis-1504	78	48	(	(	PUNCT
fis-1504	78	49	t	t	PROPN
fis-1504	78	50	)	)	PUNCT
fis-1504	78	51	2	2	NUM
fis-1504	78	52	2	2	NUM
fis-1504	78	53	x	x	SYM
fis-1504	78	54	x	x	X
fis-1504	78	55	z	z	VERB
fis-1504	78	56	y	y	PROPN
fis-1504	78	57	z	z	PROPN
fis-1504	78	58	n	n	NOUN
fis-1504	78	59	t	t	X
fis-1504	78	60	q	q	X
fis-1504	78	61	q	q	X
fis-1504	78	62	q	q	PROPN
fis-1504	78	63	n	n	PROPN
fis-1504	78	64	n	n	NOUN
fis-1504	78	65			NUM
fis-1504	78	66			X
fis-1504	78	67			PRON
fis-1504	78	68			NOUN
fis-1504	78	69			NOUN
fis-1504	78	70			NUM
fis-1504	78	71			X
fis-1504	78	72			ADJ
fis-1504	78	73			NOUN
fis-1504	78	74			NOUN
fis-1504	78	75			NOUN
fis-1504	78	76			PROPN
fis-1504	78	77			VERB
fis-1504	78	78			PROPN
fis-1504	78	79			PROPN
fis-1504	78	80			NOUN
fis-1504	78	81			PROPN
fis-1504	78	82			NOUN
fis-1504	78	83			NOUN
fis-1504	78	84			NOUN
fis-1504	78	85			NOUN
fis-1504	78	86			PROPN
fis-1504	78	87			NOUN
fis-1504	78	88			PROPN
fis-1504	78	89			NOUN
fis-1504	78	90			PROPN
fis-1504	78	91			PROPN
fis-1504	78	92	(	(	PUNCT
fis-1504	78	93	4	4	NUM
fis-1504	78	94	)	)	PUNCT
fis-1504	78	95	in	in	ADP
fis-1504	78	96	order	order	NOUN
fis-1504	78	97	to	to	PART
fis-1504	78	98	make	make	VERB
fis-1504	78	99	the	the	DET
fis-1504	78	100	calculation	calculation	NOUN
fis-1504	78	101	easier	easy	ADJ
fis-1504	78	102	,	,	PUNCT
fis-1504	78	103	it	it	PRON
fis-1504	78	104	is	be	AUX
fis-1504	78	105	useful	useful	ADJ
fis-1504	78	106	to	to	PART
fis-1504	78	107	express	express	VERB
fis-1504	78	108	q	q	NOUN
fis-1504	78	109	(	(	PUNCT
fis-1504	78	110	)	)	PUNCT
fis-1504	78	111	t	t	NOUN
fis-1504	78	112	through	through	ADP
fis-1504	78	113	the	the	DET
fis-1504	78	114	following	follow	VERB
fis-1504	78	115	scalar	scalar	ADJ
fis-1504	78	116	product	product	NOUN
fis-1504	78	117	:	:	PUNCT
fis-1504	78	118			NOUN
fis-1504	78	119	qγ	qγ	X
fis-1504	78	120	(	(	PUNCT
fis-1504	78	121	)	)	PUNCT
fis-1504	78	122	2	2	NUM
fis-1504	78	123	t	t	NOUN
fis-1504	78	124	t	t	PRON
fis-1504	78	125	d	d	VERB
fis-1504	78	126	s	s	X
fis-1504	78	127	(	(	PUNCT
fis-1504	78	128	5	5	NUM
fis-1504	78	129	)	)	PUNCT
fis-1504	78	130	where	where	SCONJ
fis-1504	78	131	d	d	NOUN
fis-1504	78	132	is	be	AUX
fis-1504	78	133	the	the	DET
fis-1504	78	134	vector	vector	NOUN
fis-1504	78	135	of	of	ADP
fis-1504	78	136	direction	direction	NOUN
fis-1504	78	137	cosines	cosine	NOUN
fis-1504	78	138	,	,	PUNCT
fis-1504	78	139	that	that	PRON
fis-1504	78	140	is	be	AUX
fis-1504	78	141	:	:	PUNCT
fis-1504	78	142	y.	y.	PROPN
fis-1504	78	143	wang	wang	PROPN
fis-1504	78	144	et	et	PROPN
fis-1504	78	145	alii	alii	PROPN
fis-1504	78	146	,	,	PUNCT
fis-1504	78	147	frattura	frattura	PROPN
fis-1504	78	148	ed	ed	PROPN
fis-1504	78	149	integrità	integrità	PROPN
fis-1504	78	150	strutturale	strutturale	PROPN
fis-1504	78	151	,	,	PUNCT
fis-1504	78	152	33	33	NUM
fis-1504	78	153	(	(	PUNCT
fis-1504	78	154	2015	2015	NUM
fis-1504	78	155	)	)	PUNCT
fis-1504	78	156	345	345	NUM
fis-1504	78	157	-	-	SYM
fis-1504	78	158	356	356	NUM
fis-1504	78	159	;	;	PUNCT
fis-1504	78	160	doi	doi	NOUN
fis-1504	78	161	:	:	PUNCT
fis-1504	78	162	10.3221	10.3221	NUM
fis-1504	78	163	/	/	SYM
fis-1504	78	164	igf	igf	PROPN
fis-1504	78	165	-	-	ADJ
fis-1504	78	166	esis.33.38	esis.33.38	ADJ
fis-1504	78	167	348	348	NUM
fis-1504	78	168			NOUN
fis-1504	78	169			SYM
fis-1504	78	170			NOUN
fis-1504	78	171			SYM
fis-1504	78	172			NOUN
fis-1504	78	173			SYM
fis-1504	78	174			NOUN
fis-1504	78	175			SYM
fis-1504	78	176			NOUN
fis-1504	78	177			SYM
fis-1504	78	178			NOUN
fis-1504	78	179			SYM
fis-1504	78	180			NOUN
fis-1504	78	181			SYM
fis-1504	78	182			NOUN
fis-1504	78	183			SYM
fis-1504	78	184			NOUN
fis-1504	78	185			SYM
fis-1504	78	186			NOUN
fis-1504	78	187			SYM
fis-1504	78	188			NOUN
fis-1504	78	189			SYM
fis-1504	78	190			NOUN
fis-1504	78	191			SYM
fis-1504	78	192			NOUN
fis-1504	78	193			SYM
fis-1504	78	194			NOUN
fis-1504	78	195			SYM
fis-1504	78	196			NOUN
fis-1504	78	197			PUNCT
fis-1504	78	198			NOUN
fis-1504	78	199			NOUN
fis-1504	78	200	2	2	NUM
fis-1504	78	201	1	1	NUM
fis-1504	78	202	2	2	NUM
fis-1504	78	203	2	2	NUM
fis-1504	78	204	3	3	NUM
fis-1504	78	205	4	4	NUM
fis-1504	78	206	5	5	NUM
fis-1504	78	207	6	6	NUM
fis-1504	78	208	1	1	NUM
fis-1504	78	209	sin	sin	NOUN
fis-1504	78	210	θ	θ	PROPN
fis-1504	78	211	sin	sin	VERB
fis-1504	78	212	2φ	2φ	NUM
fis-1504	78	213	cos	cos	PUNCT
fis-1504	78	214	α	α	PROPN
fis-1504	78	215	sin	sin	VERB
fis-1504	78	216	2θ	2θ	NUM
fis-1504	78	217	cos	cos	PROPN
fis-1504	78	218	φ	φ	PROPN
fis-1504	78	219	sin	sin	VERB
fis-1504	78	220	α	α	PROPN
fis-1504	78	221	2	2	NUM
fis-1504	78	222	d	d	SYM
fis-1504	78	223	1	1	NUM
fis-1504	78	224	sin	sin	NOUN
fis-1504	78	225	θ	θ	PROPN
fis-1504	78	226	sin	sin	VERB
fis-1504	78	227	2φ	2φ	NUM
fis-1504	78	228	cos	cos	PUNCT
fis-1504	78	229	α	α	PROPN
fis-1504	78	230	sin	sin	VERB
fis-1504	78	231	2θ	2θ	NUM
fis-1504	78	232	sin	sin	NOUN
fis-1504	78	233	φ	φ	PROPN
fis-1504	78	234	sin	sin	VERB
fis-1504	78	235	αd	αd	PROPN
fis-1504	78	236	2	2	NUM
fis-1504	78	237	1d	1d	NUM
fis-1504	78	238	sin	sin	NOUN
fis-1504	78	239	2θ	2θ	NUM
fis-1504	78	240	sin	sin	NOUN
fis-1504	78	241	α	α	NOUN
fis-1504	78	242	2d	2d	PROPN
fis-1504	78	243	1d	1d	NUM
fis-1504	78	244	sin	sin	NOUN
fis-1504	78	245	2θ	2θ	NUM
fis-1504	78	246	sin	sin	VERB
fis-1504	78	247	2φ	2φ	NOUN
fis-1504	78	248	s	s	PART
fis-1504	78	249	2d	2d	NOUN
fis-1504	78	250	x	x	PUNCT
fis-1504	78	251	x	x	PUNCT
fis-1504	78	252	y	y	VERB
fis-1504	78	253	y	y	PROPN
fis-1504	78	254	z	z	PROPN
fis-1504	78	255	z	z	NOUN
fis-1504	78	256	x	x	PUNCT
fis-1504	78	257	y	y	NOUN
fis-1504	78	258	y	y	PROPN
fis-1504	78	259	x	x	PUNCT
fis-1504	78	260	x	x	PUNCT
fis-1504	78	261	z	z	NOUN
fis-1504	78	262	z	z	NOUN
fis-1504	78	263	x	x	SYM
fis-1504	79	1	y	y	PROPN
fis-1504	79	2	z	z	PROPN
fis-1504	79	3	z	z	PROPN
fis-1504	79	4	y	y	PROPN
fis-1504	79	5	n	n	CCONJ
fis-1504	79	6	q	q	PROPN
fis-1504	79	7	n	n	CCONJ
fis-1504	79	8	q	q	NOUN
fis-1504	79	9	n	n	CCONJ
fis-1504	79	10	q	q	NOUN
fis-1504	79	11	n	n	CCONJ
fis-1504	79	12	q	q	NOUN
fis-1504	79	13	n	n	CCONJ
fis-1504	79	14	q	q	NOUN
fis-1504	79	15	n	n	CCONJ
fis-1504	79	16	q	q	NOUN
fis-1504	79	17	n	n	CCONJ
fis-1504	79	18	q	q	NOUN
fis-1504	79	19	n	n	CCONJ
fis-1504	79	20	q	q	PROPN
fis-1504	79	21	n	n	PROPN
fis-1504	79	22	q	q	PROPN
fis-1504	79	23			PROPN
fis-1504	79	24			PROPN
fis-1504	79	25			PROPN
fis-1504	79	26			PUNCT
fis-1504	79	27			NUM
fis-1504	79	28			NUM
fis-1504	79	29			PROPN
fis-1504	79	30			PROPN
fis-1504	79	31			PROPN
fis-1504	79	32			X
fis-1504	79	33			PROPN
fis-1504	79	34			NOUN
fis-1504	79	35			NOUN
fis-1504	79	36			PROPN
fis-1504	79	37			PROPN
fis-1504	79	38			PROPN
fis-1504	79	39			ADJ
fis-1504	79	40			PROPN
fis-1504	79	41			SYM
fis-1504	79	42			NOUN
fis-1504	79	43			NOUN
fis-1504	79	44			NOUN
fis-1504	79	45			PROPN
fis-1504	79	46			PROPN
fis-1504	79	47			NOUN
fis-1504	79	48			NOUN
fis-1504	79	49			PROPN
fis-1504	79	50			NOUN
fis-1504	79	51			PROPN
fis-1504	79	52			NUM
fis-1504	79	53			ADJ
fis-1504	79	54			NOUN
fis-1504	79	55			NOUN
fis-1504	79	56			ADJ
fis-1504	79	57			NOUN
fis-1504	79	58			NOUN
fis-1504	79	59			NOUN
fis-1504	79	60			PROPN
fis-1504	79	61			PROPN
fis-1504	79	62			VERB
fis-1504	79	63			PROPN
fis-1504	79	64			PUNCT
fis-1504	79	65			DET
fis-1504	79	66			NOUN
fis-1504	79	67			PROPN
fis-1504	79	68			PROPN
fis-1504	79	69			NOUN
fis-1504	79	70			PROPN
fis-1504	79	71			PROPN
fis-1504	79	72			VERB
fis-1504	79	73			PROPN
fis-1504	79	74	d	d	PROPN
fis-1504	79	75			PROPN
fis-1504	79	76			PROPN
fis-1504	79	77			NOUN
fis-1504	79	78			SYM
fis-1504	79	79			NOUN
fis-1504	79	80			SYM
fis-1504	79	81			NOUN
fis-1504	80	1			SYM
fis-1504	80	2			NOUN
fis-1504	80	3			SYM
fis-1504	80	4			NOUN
fis-1504	80	5			SYM
fis-1504	80	6			NOUN
fis-1504	80	7			SYM
fis-1504	80	8			NOUN
fis-1504	80	9			SYM
fis-1504	80	10			NOUN
fis-1504	80	11			SYM
fis-1504	80	12			NOUN
fis-1504	80	13			SYM
fis-1504	80	14			NOUN
fis-1504	80	15			SYM
fis-1504	80	16			NOUN
fis-1504	80	17			SYM
fis-1504	80	18			NOUN
fis-1504	80	19			SYM
fis-1504	80	20			NOUN
fis-1504	80	21			SYM
fis-1504	80	22			NOUN
fis-1504	80	23			SYM
fis-1504	80	24			NOUN
fis-1504	80	25			PROPN
fis-1504	80	26	in	in	ADP
fis-1504	80	27	α	α	DET
fis-1504	80	28	sin	sin	NOUN
fis-1504	80	29	θ	θ	PROPN
fis-1504	80	30	cos	cos	PROPN
fis-1504	80	31	2φ	2φ	PROPN
fis-1504	80	32	cos	cos	PROPN
fis-1504	80	33	α	α	PROPN
fis-1504	80	34	cos	cos	PROPN
fis-1504	80	35	2θ	2θ	NUM
fis-1504	81	1	cos	cos	PROPN
fis-1504	81	2	φ	φ	PROPN
fis-1504	81	3	sin	sin	PROPN
fis-1504	81	4	α	α	PROPN
fis-1504	81	5	cos	cos	PROPN
fis-1504	81	6	θ	θ	PROPN
fis-1504	81	7	sin	sin	PROPN
fis-1504	81	8	φ	φ	PROPN
fis-1504	81	9	cos	cos	PROPN
fis-1504	81	10	α	α	PROPN
fis-1504	81	11	cos	cos	PROPN
fis-1504	81	12	2θ	2θ	NUM
fis-1504	81	13	sin	sin	NOUN
fis-1504	81	14	φ	φ	PROPN
fis-1504	81	15	sin	sin	PROPN
fis-1504	81	16	α	α	PROPN
fis-1504	81	17	cos	cos	PROPN
fis-1504	81	18	θ	θ	PROPN
fis-1504	81	19	cos	cos	PROPN
fis-1504	81	20	φ	φ	PROPN
fis-1504	81	21	cos	cos	PROPN
fis-1504	81	22	α	α	PROPN
fis-1504	81	23			PROPN
fis-1504	81	24			ADJ
fis-1504	81	25			NOUN
fis-1504	81	26			PROPN
fis-1504	81	27			NOUN
fis-1504	81	28			NOUN
fis-1504	81	29			NOUN
fis-1504	81	30			NOUN
fis-1504	81	31			NOUN
fis-1504	81	32			NOUN
fis-1504	81	33			NOUN
fis-1504	81	34			NOUN
fis-1504	81	35			NOUN
fis-1504	81	36			NOUN
fis-1504	81	37			NOUN
fis-1504	81	38			NOUN
fis-1504	81	39			NOUN
fis-1504	81	40			PROPN
fis-1504	81	41			NOUN
fis-1504	81	42			PROPN
fis-1504	81	43			PUNCT
fis-1504	81	44			ADJ
fis-1504	81	45			NOUN
fis-1504	81	46			NOUN
fis-1504	81	47			NOUN
fis-1504	81	48			VERB
fis-1504	81	49			ADJ
fis-1504	81	50			NOUN
fis-1504	81	51			PROPN
fis-1504	81	52			VERB
fis-1504	81	53			NOUN
fis-1504	81	54			VERB
fis-1504	81	55			VERB
fis-1504	81	56			NOUN
fis-1504	81	57			NUM
fis-1504	81	58			NUM
fis-1504	81	59			PROPN
fis-1504	81	60	(	(	PUNCT
fis-1504	81	61	6	6	NUM
fis-1504	81	62	)	)	PUNCT
fis-1504	81	63	and	and	CCONJ
fis-1504	81	64	s(t	s(t	NUM
fis-1504	81	65	)	)	PUNCT
fis-1504	81	66	is	be	AUX
fis-1504	81	67	a	a	DET
fis-1504	81	68	six	six	NUM
fis-1504	81	69	-	-	PUNCT
fis-1504	81	70	dimensional	dimensional	ADJ
fis-1504	81	71	vector	vector	NOUN
fis-1504	81	72	process	process	NOUN
fis-1504	81	73	depending	depend	VERB
fis-1504	81	74	on	on	ADP
fis-1504	81	75			NOUN
fis-1504	81	76	[ε	[ε	PRON
fis-1504	81	77	]	]	X
fis-1504	81	78	t	t	NOUN
fis-1504	81	79	and	and	CCONJ
fis-1504	81	80	defined	define	VERB
fis-1504	81	81	as	as	ADP
fis-1504	81	82	:	:	PUNCT
fis-1504	81	83	x	x	PUNCT
fis-1504	81	84	y	y	NOUN
fis-1504	81	85	z	z	NOUN
fis-1504	81	86	xy	xy	PROPN
fis-1504	81	87	xz	xz	PROPN
fis-1504	82	1	yz	yz	INTJ
fis-1504	82	2	1	1	NUM
fis-1504	82	3	1	1	NUM
fis-1504	82	4	1	1	NUM
fis-1504	82	5	(	(	PUNCT
fis-1504	82	6	)	)	PUNCT
fis-1504	82	7	ε	ε	PROPN
fis-1504	82	8	(	(	PUNCT
fis-1504	82	9	t	t	PROPN
fis-1504	82	10	)	)	PUNCT
fis-1504	82	11	ε	ε	PROPN
fis-1504	82	12	(	(	PUNCT
fis-1504	82	13	t	t	PROPN
fis-1504	82	14	)	)	PUNCT
fis-1504	82	15	ε	ε	PROPN
fis-1504	82	16	(	(	PUNCT
fis-1504	82	17	t	t	PROPN
fis-1504	82	18	)	)	PUNCT
fis-1504	82	19	(	(	PUNCT
fis-1504	82	20	t	t	NOUN
fis-1504	82	21	)	)	PUNCT
fis-1504	82	22	(	(	PUNCT
fis-1504	82	23	t	t	NOUN
fis-1504	82	24	)	)	PUNCT
fis-1504	82	25	γ	γ	PROPN
fis-1504	82	26	(	(	PUNCT
fis-1504	82	27	t	t	PROPN
fis-1504	82	28	)	)	PUNCT
fis-1504	82	29	2	2	NUM
fis-1504	82	30	2	2	NUM
fis-1504	82	31	2	2	NUM
fis-1504	82	32	t	t	NOUN
fis-1504	82	33			NUM
fis-1504	82	34			PROPN
fis-1504	82	35			PROPN
fis-1504	82	36			VERB
fis-1504	82	37			PROPN
fis-1504	82	38			PROPN
fis-1504	82	39	s	s	PART
fis-1504	82	40	(	(	PUNCT
fis-1504	82	41	7	7	NUM
fis-1504	82	42	)	)	PUNCT
fis-1504	82	43	according	accord	VERB
fis-1504	82	44	to	to	ADP
fis-1504	82	45	the	the	DET
fis-1504	82	46	quantities	quantity	NOUN
fis-1504	82	47	defined	define	VERB
fis-1504	82	48	above	above	ADP
fis-1504	82	49	,	,	PUNCT
fis-1504	82	50	the	the	DET
fis-1504	82	51	variance	variance	NOUN
fis-1504	82	52	of	of	ADP
fis-1504	82	53	the	the	DET
fis-1504	82	54	shear	shear	NOUN
fis-1504	82	55	strain	strain	NOUN
fis-1504	82	56	,	,	PUNCT
fis-1504	82	57	q	q	X
fis-1504	82	58	(	(	PUNCT
fis-1504	82	59	)	)	PUNCT
fis-1504	82	60	t	t	NOUN
fis-1504	82	61	,	,	PUNCT
fis-1504	82	62	resolved	resolve	VERB
fis-1504	82	63	along	along	ADP
fis-1504	82	64	direction	direction	NOUN
fis-1504	82	65	q	q	NOUN
fis-1504	82	66	can	can	AUX
fis-1504	82	67	then	then	ADV
fis-1504	82	68	be	be	AUX
fis-1504	82	69	calculated	calculate	VERB
fis-1504	82	70	directly	directly	ADV
fis-1504	82	71	as	as	ADP
fis-1504	82	72	:	:	PUNCT
fis-1504	82	73			NOUN
fis-1504	82	74			PROPN
fis-1504	82	75			NOUN
fis-1504	82	76			PROPN
fis-1504	82	77			NOUN
fis-1504	82	78	var	var	NOUN
fis-1504	82	79	var	var	NOUN
fis-1504	82	80	(	(	PUNCT
fis-1504	82	81	)	)	PUNCT
fis-1504	82	82	cov	cov	NOUN
fis-1504	82	83	,	,	PUNCT
fis-1504	82	84	(	(	PUNCT
fis-1504	82	85	)	)	PUNCT
fis-1504	82	86	2	2	NUM
fis-1504	82	87	q	q	NOUN
fis-1504	82	88	t	t	PROPN
fis-1504	82	89	k	k	PROPN
fis-1504	83	1	k	k	PROPN
fis-1504	84	1	i	i	PRON
fis-1504	84	2	j	j	VERB
fis-1504	85	1	i	i	PRON
fis-1504	85	2	j	j	PROPN
fis-1504	86	1	k	k	INTJ
fis-1504	86	2	i	i	PRON
fis-1504	87	1	j	j	PROPN
fis-1504	88	1	t	t	PROPN
fis-1504	88	2	d	d	X
fis-1504	88	3	s	s	PROPN
fis-1504	88	4	t	t	PROPN
fis-1504	88	5	d	d	X
fis-1504	88	6	d	d	PROPN
fis-1504	88	7	s	s	PROPN
fis-1504	88	8	t	t	PROPN
fis-1504	88	9	s	s	X
fis-1504	88	10	t	t	NOUN
fis-1504	88	11	c	c	NOUN
fis-1504	89	1			X
fis-1504	89	2			PUNCT
fis-1504	89	3			PROPN
fis-1504	89	4			ADJ
fis-1504	89	5			PROPN
fis-1504	90	1			NOUN
fis-1504	90	2			NUM
fis-1504	90	3			ADJ
fis-1504	90	4			ADJ
fis-1504	90	5			NOUN
fis-1504	90	6			NOUN
fis-1504	90	7			VERB
fis-1504	90	8			NOUN
fis-1504	90	9			PROPN
fis-1504	90	10			PROPN
fis-1504	90	11			X
fis-1504	90	12			PUNCT
fis-1504	91	1	d	d	X
fis-1504	91	2	d	d	X
fis-1504	91	3	(	(	PUNCT
fis-1504	91	4	8)	8)	NUM
fis-1504	91	5	where	where	SCONJ
fis-1504	91	6	[	[	X
fis-1504	91	7	c	c	X
fis-1504	91	8	]	]	X
fis-1504	91	9	is	be	AUX
fis-1504	91	10	a	a	DET
fis-1504	91	11	symmetric	symmetric	ADJ
fis-1504	91	12	square	square	ADJ
fis-1504	91	13	matrix	matrix	NOUN
fis-1504	91	14	of	of	ADP
fis-1504	91	15	order	order	NOUN
fis-1504	91	16	six	six	NUM
fis-1504	91	17	,	,	PUNCT
fis-1504	91	18	and	and	CCONJ
fis-1504	91	19	the	the	DET
fis-1504	91	20	terms	term	NOUN
fis-1504	91	21	of	of	ADP
fis-1504	91	22	the	the	DET
fis-1504	91	23	covariace	covariace	NOUN
fis-1504	91	24	matrix	matrix	NOUN
fis-1504	91	25	are	be	AUX
fis-1504	91	26	defined	define	VERB
fis-1504	91	27	as	as	ADP
fis-1504	91	28			NOUN
fis-1504	91	29			PROPN
fis-1504	91	30			NOUN
fis-1504	91	31	cov	cov	ADV
fis-1504	91	32	,	,	PUNCT
fis-1504	91	33	 	 	SPACE
fis-1504	92	1	ij	ij	INTJ
fis-1504	93	1	i	i	INTJ
fis-1504	93	2	jc	jc	PROPN
fis-1504	93	3	s	s	PROPN
fis-1504	93	4	t	t	PROPN
fis-1504	93	5	s	s	PART
fis-1504	93	6	t	t	ADJ
fis-1504	93	7			PROPN
fis-1504	93	8			NOUN
fis-1504	93	9			PROPN
fis-1504	93	10	(	(	PUNCT
fis-1504	93	11	9	9	NUM
fis-1504	93	12	)	)	PUNCT
fis-1504	93	13	where	where	SCONJ
fis-1504	93	14	,	,	PUNCT
fis-1504	93	15	when	when	SCONJ
fis-1504	93	16	i	i	PRON
fis-1504	93	17	j	j	VERB
fis-1504	93	18	then	then	ADV
fis-1504	93	19			NOUN
fis-1504	93	20			SYM
fis-1504	93	21			NOUN
fis-1504	93	22			SYM
fis-1504	93	23			NOUN
fis-1504	93	24	cov	cov	ADV
fis-1504	93	25	,	,	PUNCT
fis-1504	93	26	  	  	SPACE
fis-1504	93	27	vari	vari	X
fis-1504	93	28	j	j	PROPN
fis-1504	93	29	is	be	AUX
fis-1504	93	30	t	t	PROPN
fis-1504	93	31	s	s	PROPN
fis-1504	93	32	t	t	PROPN
fis-1504	93	33	s	s	PROPN
fis-1504	93	34	t	t	ADJ
fis-1504	93	35			VERB
fis-1504	93	36			PROPN
fis-1504	93	37			PROPN
fis-1504	93	38			PROPN
fis-1504	93	39			PROPN
fis-1504	93	40			PROPN
fis-1504	93	41	,	,	PUNCT
fis-1504	93	42	whereas	whereas	SCONJ
fis-1504	93	43	when	when	SCONJ
fis-1504	93	44	i	i	PRON
fis-1504	93	45	j	j	VERB
fis-1504	93	46	then	then	ADV
fis-1504	93	47			NOUN
fis-1504	94	1			SYM
fis-1504	94	2			NOUN
fis-1504	94	3			SYM
fis-1504	94	4			NOUN
fis-1504	94	5			SYM
fis-1504	94	6			NOUN
fis-1504	94	7	cov	cov	ADV
fis-1504	94	8	,	,	PUNCT
fis-1504	94	9	  	  	SPACE
fis-1504	94	10	cov	cov	NOUN
fis-1504	94	11	,	,	PUNCT
fis-1504	94	12	 	 	SPACE
fis-1504	94	13	i	i	PRON
fis-1504	94	14	j	j	PROPN
fis-1504	95	1	j	j	PROPN
fis-1504	95	2	is	be	AUX
fis-1504	95	3	t	t	PROPN
fis-1504	95	4	s	s	PROPN
fis-1504	95	5	t	t	PROPN
fis-1504	95	6	s	s	PROPN
fis-1504	95	7	t	t	PROPN
fis-1504	95	8	s	s	PROPN
fis-1504	95	9	t	t	ADJ
fis-1504	95	10			PUNCT
fis-1504	95	11			PROPN
fis-1504	95	12			ADJ
fis-1504	95	13			PROPN
fis-1504	95	14			VERB
fis-1504	95	15			PROPN
fis-1504	95	16	.	.	PUNCT
fis-1504	96	1	now	now	ADV
fis-1504	96	2	[	[	X
fis-1504	96	3	c	c	X
fis-1504	96	4	]	]	X
fis-1504	96	5	can	can	AUX
fis-1504	96	6	be	be	AUX
fis-1504	96	7	rewritten	rewrite	VERB
fis-1504	96	8	in	in	ADP
fis-1504	96	9	explicit	explicit	ADJ
fis-1504	96	10	form	form	NOUN
fis-1504	96	11	by	by	ADP
fis-1504	96	12	using	use	VERB
fis-1504	96	13	both	both	CCONJ
fis-1504	96	14	the	the	DET
fis-1504	96	15	variance	variance	NOUN
fis-1504	96	16	and	and	CCONJ
fis-1504	96	17	covariance	covariance	NOUN
fis-1504	96	18	terms	term	NOUN
fis-1504	96	19	:	:	PUNCT
fis-1504	96	20			ADJ
fis-1504	96	21			NOUN
fis-1504	96	22	x	x	SYM
fis-1504	96	23	x	x	PROPN
fis-1504	96	24	,	,	PUNCT
fis-1504	96	25	y	y	PROPN
fis-1504	96	26	x	x	PROPN
fis-1504	96	27	,	,	PUNCT
fis-1504	96	28	z	z	PROPN
fis-1504	96	29	x	x	NOUN
fis-1504	96	30	,	,	PUNCT
fis-1504	96	31	xy	xy	PROPN
fis-1504	96	32	x	x	PROPN
fis-1504	96	33	,	,	PUNCT
fis-1504	96	34	xz	xz	PROPN
fis-1504	96	35	x	x	PROPN
fis-1504	96	36	,	,	PUNCT
fis-1504	96	37	yz	yz	PROPN
fis-1504	96	38	x	x	PROPN
fis-1504	96	39	,	,	PUNCT
fis-1504	96	40	y	y	PROPN
fis-1504	96	41	y	y	PROPN
fis-1504	96	42	y	y	PROPN
fis-1504	96	43	,	,	PUNCT
fis-1504	96	44	z	z	PROPN
fis-1504	96	45	y	y	PROPN
fis-1504	96	46	,	,	PUNCT
fis-1504	96	47	xy	xy	PROPN
fis-1504	96	48	y	y	PROPN
fis-1504	96	49	,	,	PUNCT
fis-1504	96	50	xz	xz	PROPN
fis-1504	96	51	y	y	PROPN
fis-1504	96	52	,	,	PUNCT
fis-1504	96	53	yz	yz	PROPN
fis-1504	96	54	x	x	PROPN
fis-1504	96	55	,	,	PUNCT
fis-1504	96	56	z	z	PROPN
fis-1504	96	57	y	y	PROPN
fis-1504	96	58	,	,	PUNCT
fis-1504	96	59	z	z	PROPN
fis-1504	96	60	z	z	PROPN
fis-1504	97	1	z	z	NOUN
fis-1504	97	2	,	,	PUNCT
fis-1504	97	3	xy	xy	PROPN
fis-1504	98	1	z	z	PROPN
fis-1504	98	2	,	,	PUNCT
fis-1504	98	3	xz	xz	PROPN
fis-1504	98	4	z	z	PROPN
fis-1504	98	5	,	,	PUNCT
fis-1504	98	6	yz	yz	PROPN
fis-1504	98	7	x	x	PROPN
fis-1504	98	8	,	,	PUNCT
fis-1504	98	9	xy	xy	PROPN
fis-1504	98	10	y	y	PROPN
fis-1504	98	11	,	,	PUNCT
fis-1504	98	12	xy	xy	PROPN
fis-1504	98	13	z	z	X
fis-1504	98	14	,	,	PUNCT
fis-1504	98	15	xy	xy	PROPN
fis-1504	98	16	xy	xy	INTJ
fis-1504	98	17	xy	xy	PROPN
fis-1504	98	18	,	,	PUNCT
fis-1504	98	19	xz	xz	PROPN
fis-1504	98	20	xy	xy	PROPN
fis-1504	98	21	,	,	PUNCT
fis-1504	98	22	yz	yz	PROPN
fis-1504	98	23	x	x	PROPN
fis-1504	98	24	,	,	PUNCT
fis-1504	98	25	xz	xz	PROPN
fis-1504	98	26	y	y	PROPN
fis-1504	98	27	,	,	PUNCT
fis-1504	98	28	xz	xz	PROPN
fis-1504	98	29	z	z	PROPN
fis-1504	98	30	,	,	PUNCT
fis-1504	98	31	xz	xz	PROPN
fis-1504	98	32	xy	xy	PROPN
fis-1504	98	33	,	,	PUNCT
fis-1504	98	34	xz	xz	PROPN
fis-1504	98	35	xz	xz	PROPN
fis-1504	98	36	xz	xz	PROPN
fis-1504	98	37	,	,	PUNCT
fis-1504	98	38	yz	yz	PROPN
fis-1504	98	39	x	x	PROPN
fis-1504	98	40	,	,	PUNCT
fis-1504	98	41	yz	yz	PROPN
fis-1504	98	42	y	y	PROPN
fis-1504	98	43	,	,	PUNCT
fis-1504	98	44	yz	yz	PROPN
fis-1504	98	45	z	z	PROPN
fis-1504	98	46	,	,	PUNCT
fis-1504	98	47	yz	yz	X
fis-1504	98	48	xy	xy	PROPN
fis-1504	98	49	,	,	PUNCT
fis-1504	98	50	yz	yz	PROPN
fis-1504	98	51	xz	xz	PROPN
fis-1504	98	52	,	,	PUNCT
fis-1504	98	53	yz	yz	PROPN
fis-1504	98	54	yz	yz	PROPN
fis-1504	99	1	v	v	INTJ
fis-1504	99	2	c	c	NOUN
fis-1504	99	3	c	c	NOUN
fis-1504	99	4	c	c	NOUN
fis-1504	99	5	c	c	NOUN
fis-1504	99	6	c	c	NOUN
fis-1504	99	7	c	c	NOUN
fis-1504	99	8	v	v	NOUN
fis-1504	99	9	c	c	NOUN
fis-1504	99	10	c	c	NOUN
fis-1504	99	11	c	c	NOUN
fis-1504	99	12	c	c	NOUN
fis-1504	99	13	c	c	NOUN
fis-1504	99	14	c	c	NOUN
fis-1504	99	15	v	v	NOUN
fis-1504	99	16	c	c	NOUN
fis-1504	99	17	c	c	NOUN
fis-1504	99	18	c	c	NOUN
fis-1504	99	19	c	c	NOUN
fis-1504	99	20	c	c	NOUN
fis-1504	99	21	c	c	NOUN
fis-1504	99	22	c	c	NOUN
fis-1504	99	23	v	v	NOUN
fis-1504	99	24	c	c	NOUN
fis-1504	99	25	c	c	NOUN
fis-1504	99	26	c	c	NOUN
fis-1504	99	27	c	c	NOUN
fis-1504	99	28	c	c	NOUN
fis-1504	99	29	c	c	NOUN
fis-1504	99	30	v	v	NOUN
fis-1504	99	31	c	c	NOUN
fis-1504	99	32	c	c	NOUN
fis-1504	99	33	c	c	NOUN
fis-1504	99	34	c	c	NOUN
fis-1504	99	35	c	c	PROPN
fis-1504	99	36	c	c	PROPN
fis-1504	99	37	v	v	NUM
fis-1504	99	38			PROPN
fis-1504	99	39			ADJ
fis-1504	99	40			NOUN
fis-1504	99	41			PROPN
fis-1504	99	42			NOUN
fis-1504	99	43			NOUN
fis-1504	99	44			NOUN
fis-1504	99	45			NOUN
fis-1504	99	46			NUM
fis-1504	99	47			NOUN
fis-1504	99	48			NOUN
fis-1504	99	49			NOUN
fis-1504	99	50			NOUN
fis-1504	99	51			NOUN
fis-1504	99	52			NOUN
fis-1504	99	53			NOUN
fis-1504	99	54			NOUN
fis-1504	99	55			NOUN
fis-1504	99	56			PROPN
fis-1504	99	57			PROPN
fis-1504	99	58	(	(	PUNCT
fis-1504	99	59	10	10	NUM
fis-1504	99	60	)	)	PUNCT
fis-1504	99	61	where	where	SCONJ
fis-1504	99	62			NOUN
fis-1504	99	63	var	var	NOUN
fis-1504	99	64	    	    	SPACE
fis-1504	99	65	for	for	ADP
fis-1504	99	66	  	  	SPACE
fis-1504	99	67	,	,	PUNCT
fis-1504	99	68	  	  	SPACE
fis-1504	99	69	,	,	PUNCT
fis-1504	99	70	  	  	SPACE
fis-1504	99	71	,	,	PUNCT
fis-1504	99	72	  	  	SPACE
fis-1504	99	73	,	,	PUNCT
fis-1504	99	74	  	  	SPACE
fis-1504	99	75	,	,	PUNCT
fis-1504	99	76	 	 	SPACE
fis-1504	99	77	i	i	PRON
fis-1504	100	1	iv	iv	VERB
fis-1504	100	2	t	t	INTJ
fis-1504	101	1	i	i	PRON
fis-1504	101	2	x	x	PROPN
fis-1504	101	3	y	y	VERB
fis-1504	101	4	z	z	PROPN
fis-1504	101	5	xy	xy	PROPN
fis-1504	101	6	xz	xz	PROPN
fis-1504	101	7	yz	yz	PROPN
fis-1504	101	8			PROPN
fis-1504	101	9			PROPN
fis-1504	101	10			PROPN
fis-1504	101	11	(	(	PUNCT
fis-1504	101	12	11	11	NUM
fis-1504	101	13	)	)	PUNCT
fis-1504	101	14			NOUN
fis-1504	101	15			PUNCT
fis-1504	101	16			PROPN
fis-1504	101	17			PROPN
fis-1504	101	18	,	,	PUNCT
fis-1504	101	19	  	  	SPACE
fis-1504	101	20	covar	covar	NOUN
fis-1504	101	21	,	,	PUNCT
fis-1504	101	22	      	      	SPACE
fis-1504	101	23	for	for	ADP
fis-1504	101	24	  	  	SPACE
fis-1504	101	25	,	,	PUNCT
fis-1504	101	26	  	  	SPACE
fis-1504	101	27	,	,	PUNCT
fis-1504	101	28	  	  	SPACE
fis-1504	101	29	,	,	PUNCT
fis-1504	101	30	  	  	SPACE
fis-1504	101	31	,	,	PUNCT
fis-1504	101	32	  	  	SPACE
fis-1504	101	33	,	,	PUNCT
fis-1504	101	34	 	 	SPACE
fis-1504	101	35	i	i	PRON
fis-1504	102	1	j	j	PROPN
fis-1504	103	1	i	i	PRON
fis-1504	103	2	jc	jc	PROPN
fis-1504	104	1	t	t	PROPN
fis-1504	104	2	t	t	PROPN
fis-1504	105	1	i	i	PRON
fis-1504	105	2	x	x	PROPN
fis-1504	105	3	y	y	NOUN
fis-1504	105	4	z	z	NOUN
fis-1504	105	5	xy	xy	PROPN
fis-1504	105	6	xz	xz	X
fis-1504	105	7	yz	yz	NUM
fis-1504	106	1			PROPN
fis-1504	106	2			PROPN
fis-1504	106	3			PROPN
fis-1504	106	4			PROPN
fis-1504	106	5	(	(	PUNCT
fis-1504	106	6	12	12	NUM
fis-1504	106	7	)	)	PUNCT
fis-1504	106	8	then	then	ADV
fis-1504	106	9	eq	eq	ADP
fis-1504	106	10	.	.	PUNCT
fis-1504	107	1	(	(	PUNCT
fis-1504	107	2	8)	8)	NUM
fis-1504	107	3	can	can	AUX
fis-1504	107	4	be	be	AUX
fis-1504	107	5	rewritten	rewrite	VERB
fis-1504	107	6	in	in	ADP
fis-1504	107	7	the	the	DET
fis-1504	107	8	following	follow	VERB
fis-1504	107	9	simple	simple	ADJ
fis-1504	107	10	form	form	NOUN
fis-1504	107	11	:	:	PUNCT
fis-1504	107	12			PROPN
fis-1504	107	13			PROPN
fis-1504	107	14			NOUN
fis-1504	107	15	var	var	PROPN
fis-1504	107	16	t	t	PROPN
fis-1504	107	17	q	q	PROPN
fis-1504	107	18	t	t	PROPN
fis-1504	107	19	c	c	PROPN
fis-1504	107	20			ADP
fis-1504	108	1			PROPN
fis-1504	108	2			PROPN
fis-1504	108	3	d	d	PROPN
fis-1504	108	4	d	d	PROPN
fis-1504	108	5	(	(	PUNCT
fis-1504	108	6	13	13	NUM
fis-1504	108	7	)	)	PUNCT
fis-1504	108	8	eq	eq	NOUN
fis-1504	108	9	.	.	PUNCT
fis-1504	109	1	(	(	PUNCT
fis-1504	109	2	13	13	NUM
fis-1504	109	3	)	)	PUNCT
fis-1504	109	4	makes	make	VERB
fis-1504	109	5	it	it	PRON
fis-1504	109	6	evident	evident	ADJ
fis-1504	109	7	that	that	SCONJ
fis-1504	109	8	the	the	DET
fis-1504	109	9	determination	determination	NOUN
fis-1504	109	10	of	of	ADP
fis-1504	109	11	the	the	DET
fis-1504	109	12	direction	direction	NOUN
fis-1504	109	13	experiencing	experience	VERB
fis-1504	109	14	the	the	DET
fis-1504	109	15	maximum	maximum	ADJ
fis-1504	109	16	variance	variance	NOUN
fis-1504	109	17	of	of	ADP
fis-1504	109	18	the	the	DET
fis-1504	109	19	resolved	resolve	VERB
fis-1504	109	20	shear	shear	NOUN
fis-1504	109	21	strain	strain	NOUN
fis-1504	109	22	is	be	AUX
fis-1504	109	23	a	a	DET
fis-1504	109	24	conventional	conventional	ADJ
fis-1504	109	25	multi	multi	ADJ
fis-1504	109	26	-	-	ADJ
fis-1504	109	27	variable	variable	ADJ
fis-1504	109	28	optimization	optimization	NOUN
fis-1504	109	29	problem	problem	NOUN
fis-1504	109	30	.	.	PUNCT
fis-1504	110	1	it	it	PRON
fis-1504	110	2	can	can	AUX
fis-1504	110	3	be	be	AUX
fis-1504	110	4	solved	solve	VERB
fis-1504	110	5	satisfactorily	satisfactorily	ADV
fis-1504	110	6	by	by	ADP
fis-1504	110	7	simply	simply	ADV
fis-1504	110	8	using	use	VERB
fis-1504	110	9	the	the	DET
fis-1504	110	10	so	so	ADV
fis-1504	110	11	-	-	PUNCT
fis-1504	110	12	called	call	VERB
fis-1504	110	13	gradient	gradient	NOUN
fis-1504	110	14	ascent	ascent	NOUN
fis-1504	110	15	method	method	NOUN
fis-1504	110	16	[	[	X
fis-1504	110	17	19	19	NUM
fis-1504	110	18	]	]	PUNCT
fis-1504	110	19	.	.	PUNCT
fis-1504	111	1	fig	fig	NOUN
fis-1504	111	2	.	.	PUNCT
fis-1504	112	1	2	2	NUM
fis-1504	112	2	reports	report	VERB
fis-1504	112	3	the	the	DET
fis-1504	112	4	flowchart	flowchart	NOUN
fis-1504	112	5	summarising	summarise	VERB
fis-1504	112	6	the	the	DET
fis-1504	112	7	algorithm	algorithm	NOUN
fis-1504	112	8	which	which	PRON
fis-1504	112	9	was	be	AUX
fis-1504	112	10	proposed	propose	VERB
fis-1504	112	11	in	in	ADP
fis-1504	112	12	ref	ref	NOUN
fis-1504	112	13	.	.	PUNCT
fis-1504	113	1	[	[	X
fis-1504	113	2	9	9	NUM
fis-1504	113	3	]	]	PUNCT
fis-1504	113	4	to	to	PART
fis-1504	113	5	be	be	AUX
fis-1504	113	6	used	use	VERB
fis-1504	113	7	to	to	PART
fis-1504	113	8	determine	determine	VERB
fis-1504	113	9	the	the	DET
fis-1504	113	10	orientation	orientation	NOUN
fis-1504	113	11	of	of	ADP
fis-1504	113	12	the	the	DET
fis-1504	113	13	critical	critical	ADJ
fis-1504	113	14	plane	plane	NOUN
fis-1504	113	15	.	.	PUNCT
fis-1504	114	1	y.	y.	PROPN
fis-1504	114	2	wang	wang	PROPN
fis-1504	114	3	et	et	PROPN
fis-1504	114	4	alii	alii	PROPN
fis-1504	114	5	,	,	PUNCT
fis-1504	114	6	frattura	frattura	PROPN
fis-1504	114	7	ed	ed	PROPN
fis-1504	114	8	integrità	integrità	PROPN
fis-1504	114	9	strutturale	strutturale	PROPN
fis-1504	114	10	,	,	PUNCT
fis-1504	114	11	33	33	NUM
fis-1504	114	12	(	(	PUNCT
fis-1504	114	13	2015	2015	NUM
fis-1504	114	14	)	)	PUNCT
fis-1504	114	15	345	345	NUM
fis-1504	114	16	-	-	SYM
fis-1504	114	17	356	356	NUM
fis-1504	114	18	;	;	PUNCT
fis-1504	114	19	doi	doi	NOUN
fis-1504	114	20	:	:	PUNCT
fis-1504	114	21	10.3221	10.3221	NUM
fis-1504	114	22	/	/	SYM
fis-1504	114	23	igf	igf	PROPN
fis-1504	114	24	-	-	ADJ
fis-1504	114	25	esis.33.38	esis.33.38	PROPN
fis-1504	114	26	349	349	NUM
fis-1504	114	27	after	after	ADP
fis-1504	114	28	determining	determine	VERB
fis-1504	114	29	the	the	DET
fis-1504	114	30	direction	direction	NOUN
fis-1504	114	31	of	of	ADP
fis-1504	114	32	the	the	DET
fis-1504	114	33	maximum	maximum	ADJ
fis-1504	114	34	variance	variance	NOUN
fis-1504	114	35	,	,	PUNCT
fis-1504	114	36	the	the	DET
fis-1504	114	37	shear	shear	NOUN
fis-1504	114	38	strain	strain	NOUN
fis-1504	114	39	resolved	resolve	VERB
fis-1504	114	40	along	along	ADP
fis-1504	114	41	this	this	DET
fis-1504	114	42	direction	direction	NOUN
fis-1504	114	43	,	,	PUNCT
fis-1504	114	44	mv	mv	PROPN
fis-1504	114	45	(	(	PUNCT
fis-1504	114	46	)	)	PUNCT
fis-1504	114	47	t	t	NOUN
fis-1504	114	48	,	,	PUNCT
fis-1504	114	49	can	can	AUX
fis-1504	114	50	directly	directly	ADV
fis-1504	114	51	be	be	AUX
fis-1504	114	52	evaluated	evaluate	VERB
fis-1504	114	53	,	,	PUNCT
fis-1504	114	54	at	at	ADP
fis-1504	114	55	any	any	DET
fis-1504	114	56	instant	instant	NOUN
fis-1504	114	57	,	,	PUNCT
fis-1504	114	58	t	t	PROPN
fis-1504	114	59	,	,	PUNCT
fis-1504	114	60	of	of	ADP
fis-1504	114	61	the	the	DET
fis-1504	114	62	load	load	NOUN
fis-1504	114	63	history	history	NOUN
fis-1504	114	64	,	,	PUNCT
fis-1504	114	65	through	through	ADP
fis-1504	114	66	the	the	DET
fis-1504	114	67	following	follow	VERB
fis-1504	114	68	relationship	relationship	NOUN
fis-1504	114	69	:	:	PUNCT
fis-1504	114	70			NOUN
fis-1504	115	1			PUNCT
fis-1504	115	2	x	x	PUNCT
fis-1504	116	1	xy	xy	PROPN
fis-1504	116	2	xz	xz	PROPN
fis-1504	117	1	mv	mv	PROPN
fis-1504	117	2	xy	xy	PROPN
fis-1504	118	1	y	y	PROPN
fis-1504	118	2	yz	yz	PROPN
fis-1504	118	3	xz	xz	PROPN
fis-1504	119	1	yz	yz	PROPN
fis-1504	119	2	z	z	PROPN
fis-1504	119	3	1	1	NUM
fis-1504	119	4	1	1	NUM
fis-1504	119	5	ε	ε	X
fis-1504	119	6	(	(	PUNCT
fis-1504	119	7	t	t	PROPN
fis-1504	119	8	)	)	PUNCT
fis-1504	119	9	(	(	PUNCT
fis-1504	119	10	t	t	NOUN
fis-1504	119	11	)	)	PUNCT
fis-1504	119	12	(	(	PUNCT
fis-1504	119	13	t	t	NOUN
fis-1504	119	14	)	)	PUNCT
fis-1504	119	15	2	2	NUM
fis-1504	119	16	2	2	NUM
fis-1504	119	17	1	1	NUM
fis-1504	119	18	1	1	NUM
fis-1504	119	19	γ	γ	X
fis-1504	119	20	(	(	PUNCT
fis-1504	119	21	t	t	PROPN
fis-1504	119	22	)	)	PUNCT
fis-1504	119	23	ε	ε	PROPN
fis-1504	119	24	(	(	PUNCT
fis-1504	119	25	t	t	PROPN
fis-1504	119	26	)	)	PUNCT
fis-1504	119	27	γ	γ	PROPN
fis-1504	119	28	(	(	PUNCT
fis-1504	119	29	t	t	PROPN
fis-1504	119	30	)	)	PUNCT
fis-1504	119	31	2	2	NUM
fis-1504	119	32	2	2	NUM
fis-1504	119	33	2	2	NUM
fis-1504	119	34	1	1	NUM
fis-1504	119	35	1	1	NUM
fis-1504	119	36	γ	γ	X
fis-1504	119	37	(	(	PUNCT
fis-1504	119	38	t	t	PROPN
fis-1504	119	39	)	)	PUNCT
fis-1504	119	40	γ	γ	PROPN
fis-1504	119	41	(	(	PUNCT
fis-1504	119	42	t	t	PROPN
fis-1504	119	43	)	)	PUNCT
fis-1504	119	44	ε	ε	PROPN
fis-1504	119	45	(	(	PUNCT
fis-1504	119	46	t	t	PROPN
fis-1504	119	47	)	)	PUNCT
fis-1504	119	48	2	2	NUM
fis-1504	119	49	2	2	NUM
fis-1504	119	50	x	x	SYM
fis-1504	119	51	x	x	SYM
fis-1504	119	52	y	y	PROPN
fis-1504	119	53	z	z	PROPN
fis-1504	119	54	y	y	PROPN
fis-1504	119	55	z	z	PROPN
fis-1504	119	56	n	n	NOUN
fis-1504	119	57	t	t	X
fis-1504	119	58	q	q	X
fis-1504	119	59	q	q	X
fis-1504	119	60	q	q	PROPN
fis-1504	119	61	n	n	CCONJ
fis-1504	119	62	n	n	CCONJ
fis-1504	119	63			NUM
fis-1504	119	64			NUM
fis-1504	119	65			NUM
fis-1504	119	66			NUM
fis-1504	119	67			ADJ
fis-1504	119	68			NOUN
fis-1504	119	69			NOUN
fis-1504	119	70			NUM
fis-1504	119	71			X
fis-1504	119	72			ADJ
fis-1504	119	73			NOUN
fis-1504	119	74			NOUN
fis-1504	119	75			NOUN
fis-1504	119	76			PROPN
fis-1504	119	77			VERB
fis-1504	119	78			PROPN
fis-1504	119	79			PROPN
fis-1504	119	80			NOUN
fis-1504	119	81			PROPN
fis-1504	119	82			NOUN
fis-1504	119	83			NOUN
fis-1504	119	84			NOUN
fis-1504	119	85			NOUN
fis-1504	119	86			PROPN
fis-1504	119	87			NOUN
fis-1504	119	88			PROPN
fis-1504	119	89			NOUN
fis-1504	119	90			PROPN
fis-1504	119	91			PROPN
fis-1504	119	92	(	(	PUNCT
fis-1504	119	93	14	14	NUM
fis-1504	119	94	)	)	PUNCT
fis-1504	119	95			NOUN
fis-1504	119	96			VERB
fis-1504	119	97			PROPN
fis-1504	119	98			NOUN
fis-1504	119	99			VERB
fis-1504	119	100			PROPN
fis-1504	119	101			NOUN
fis-1504	119	102			VERB
fis-1504	119	103			PROPN
fis-1504	119	104			PROPN
fis-1504	119	105			PROPN
fis-1504	120	1			PUNCT
fis-1504	121	1			NOUN
fis-1504	121	2			PUNCT
fis-1504	122	1			NOUN
fis-1504	122	2			PROPN
fis-1504	122	3			PROPN
fis-1504	122	4			X
fis-1504	122	5			NOUN
fis-1504	122	6			NOUN
fis-1504	122	7			NOUN
fis-1504	122	8			NOUN
fis-1504	122	9			NOUN
fis-1504	122	10			NOUN
fis-1504	122	11			NOUN
fis-1504	122	12			NOUN
fis-1504	122	13			PROPN
fis-1504	122	14			ADJ
fis-1504	122	15			ADJ
fis-1504	122	16			ADJ
fis-1504	122	17			ADJ
fis-1504	122	18			PROPN
fis-1504	122	19			PROPN
fis-1504	122	20			ADV
fis-1504	122	21			PROPN
fis-1504	122	22			PROPN
fis-1504	122	23			PROPN
fis-1504	122	24			PROPN
fis-1504	122	25			X
fis-1504	122	26			NOUN
fis-1504	122	27			NOUN
fis-1504	122	28			NOUN
fis-1504	122	29			VERB
fis-1504	122	30			PROPN
fis-1504	122	31			ADJ
fis-1504	122	32			PROPN
fis-1504	122	33			PROPN
fis-1504	122	34			PROPN
fis-1504	122	35			PROPN
fis-1504	122	36			X
fis-1504	122	37			NOUN
fis-1504	122	38			NOUN
fis-1504	122	39			NOUN
fis-1504	122	40			NOUN
fis-1504	122	41			PROPN
fis-1504	122	42			PROPN
fis-1504	122	43			PROPN
fis-1504	122	44			PROPN
fis-1504	122	45	nnn	nnn	PROPN
fis-1504	122	46	nnn	nnn	PROPN
fis-1504	122	47	nnn	nnn	PROPN
fis-1504	122	48	n	n	PROPN
fis-1504	122	49	n	n	CCONJ
fis-1504	122	50	n	n	CCONJ
fis-1504	122	51	n	n	CCONJ
fis-1504	122	52	n	n	CCONJ
fis-1504	122	53	n	n	NOUN
fis-1504	122	54	t	t	NOUN
fis-1504	122	55	t	t	PROPN
fis-1504	122	56	t	t	PROPN
fis-1504	122	57	k	k	PROPN
fis-1504	122	58			ADJ
fis-1504	122	59			X
fis-1504	122	60			ADP
fis-1504	122	61			ADJ
fis-1504	122	62			NOUN
fis-1504	122	63			NUM
fis-1504	122	64			ADJ
fis-1504	122	65			PROPN
fis-1504	122	66			NUM
fis-1504	122	67			NOUN
fis-1504	122	68			X
fis-1504	122	69			ADJ
fis-1504	122	70			X
fis-1504	122	71			X
fis-1504	122	72			PROPN
fis-1504	122	73	,	,	PUNCT
fis-1504	122	74	,	,	PUNCT
fis-1504	122	75	)	)	PUNCT
fis-1504	122	76	(	(	PUNCT
fis-1504	122	77	var	var	NOUN
fis-1504	122	78	,	,	PUNCT
fis-1504	122	79	,	,	PUNCT
fis-1504	122	80	)	)	PUNCT
fis-1504	122	81	(	(	PUNCT
fis-1504	122	82	var	var	NOUN
fis-1504	122	83	,	,	PUNCT
fis-1504	122	84	,	,	PUNCT
fis-1504	122	85	)	)	PUNCT
fis-1504	122	86	(	(	PUNCT
fis-1504	122	87	var	var	NOUN
fis-1504	122	88	q	q	X
fis-1504	122	89	q	q	X
fis-1504	122	90	q	q	NOUN
fis-1504	122	91	1	1	NUM
fis-1504	122	92	1	1	NUM
fis-1504	122	93	1	1	NUM
fis-1504	122	94	figure	figure	NOUN
fis-1504	122	95	2	2	NUM
fis-1504	122	96	:	:	PUNCT
fis-1504	122	97	flowchart	flowchart	NOUN
fis-1504	122	98	summarizing	summarize	VERB
fis-1504	122	99	the	the	DET
fis-1504	122	100	algorithm	algorithm	NOUN
fis-1504	122	101	for	for	ADP
fis-1504	122	102	the	the	DET
fis-1504	122	103	determination	determination	NOUN
fis-1504	122	104	of	of	ADP
fis-1504	122	105	the	the	DET
fis-1504	122	106	critical	critical	ADJ
fis-1504	122	107	plane	plane	NOUN
fis-1504	122	108	orientation	orientation	NOUN
fis-1504	122	109	.	.	PUNCT
fis-1504	123	1	the	the	DET
fis-1504	123	2	shear	shear	NOUN
fis-1504	123	3	stress	stress	NOUN
fis-1504	123	4	resolved	resolve	VERB
fis-1504	123	5	along	along	ADP
fis-1504	123	6	the	the	DET
fis-1504	123	7	maximum	maximum	ADJ
fis-1504	123	8	variance	variance	NOUN
fis-1504	123	9	direction	direction	NOUN
fis-1504	123	10	,	,	PUNCT
fis-1504	123	11	mv	mv	PROPN
fis-1504	123	12	(	(	PUNCT
fis-1504	123	13	)	)	PUNCT
fis-1504	123	14	t	t	NOUN
fis-1504	123	15	,	,	PUNCT
fis-1504	123	16	and	and	CCONJ
fis-1504	123	17	the	the	DET
fis-1504	123	18	stress	stress	NOUN
fis-1504	123	19	normal	normal	ADJ
fis-1504	123	20	to	to	ADP
fis-1504	123	21	the	the	DET
fis-1504	123	22	plane	plane	NOUN
fis-1504	123	23	experiencing	experience	VERB
fis-1504	123	24	the	the	DET
fis-1504	123	25	maximum	maximum	ADJ
fis-1504	123	26	variance	variance	NOUN
fis-1504	123	27	of	of	ADP
fis-1504	123	28	resolved	resolve	VERB
fis-1504	123	29	shear	shear	NOUN
fis-1504	123	30	strain	strain	NOUN
fis-1504	123	31	,	,	PUNCT
fis-1504	123	32	n	n	PROPN
fis-1504	123	33	(	(	PUNCT
fis-1504	123	34	)	)	PUNCT
fis-1504	123	35	t	t	PROPN
fis-1504	123	36	,	,	PUNCT
fis-1504	123	37	can	can	AUX
fis-1504	123	38	be	be	AUX
fis-1504	123	39	evaluated	evaluate	VERB
fis-1504	123	40	,	,	PUNCT
fis-1504	123	41	at	at	ADP
fis-1504	123	42	any	any	DET
fis-1504	123	43	instant	instant	NOUN
fis-1504	123	44	,	,	PUNCT
fis-1504	123	45	t	t	PROPN
fis-1504	123	46	,	,	PUNCT
fis-1504	123	47	of	of	ADP
fis-1504	123	48	the	the	DET
fis-1504	123	49	load	load	NOUN
fis-1504	123	50	history	history	NOUN
fis-1504	123	51	,	,	PUNCT
fis-1504	123	52	through	through	ADP
fis-1504	123	53	the	the	DET
fis-1504	123	54	following	follow	VERB
fis-1504	123	55	relationships	relationship	NOUN
fis-1504	123	56	:	:	PUNCT
fis-1504	123	57			NOUN
fis-1504	123	58			PUNCT
fis-1504	123	59	x	x	PUNCT
fis-1504	124	1	xy	xy	PROPN
fis-1504	124	2	xz	xz	PROPN
fis-1504	125	1	mv	mv	PROPN
fis-1504	125	2	xy	xy	PROPN
fis-1504	126	1	y	y	PROPN
fis-1504	126	2	yz	yz	PROPN
fis-1504	126	3	xz	xz	PROPN
fis-1504	127	1	yz	yz	PROPN
fis-1504	127	2	z	z	PROPN
fis-1504	127	3	(	(	PUNCT
fis-1504	127	4	t	t	PROPN
fis-1504	127	5	)	)	PUNCT
fis-1504	127	6	(	(	PUNCT
fis-1504	127	7	t	t	NOUN
fis-1504	127	8	)	)	PUNCT
fis-1504	127	9	(	(	PUNCT
fis-1504	127	10	t	t	NOUN
fis-1504	127	11	)	)	PUNCT
fis-1504	127	12	(	(	PUNCT
fis-1504	127	13	t	t	NOUN
fis-1504	127	14	)	)	PUNCT
fis-1504	127	15	(	(	PUNCT
fis-1504	127	16	t	t	NOUN
fis-1504	127	17	)	)	PUNCT
fis-1504	127	18	(	(	PUNCT
fis-1504	127	19	t	t	NOUN
fis-1504	127	20	)	)	PUNCT
fis-1504	127	21	(	(	PUNCT
fis-1504	127	22	t	t	NOUN
fis-1504	127	23	)	)	PUNCT
fis-1504	127	24	(	(	PUNCT
fis-1504	127	25	t	t	NOUN
fis-1504	127	26	)	)	PUNCT
fis-1504	127	27	(	(	PUNCT
fis-1504	127	28	t	t	NOUN
fis-1504	127	29	)	)	PUNCT
fis-1504	127	30	x	x	PUNCT
fis-1504	128	1	x	x	PUNCT
fis-1504	128	2	y	y	PROPN
fis-1504	128	3	z	z	PROPN
fis-1504	128	4	y	y	PROPN
fis-1504	128	5	z	z	PROPN
fis-1504	128	6	n	n	NOUN
fis-1504	128	7	t	t	X
fis-1504	128	8	q	q	X
fis-1504	128	9	q	q	X
fis-1504	128	10	q	q	PROPN
fis-1504	128	11	n	n	CCONJ
fis-1504	128	12	n	n	CCONJ
fis-1504	128	13			NOUN
fis-1504	128	14			NOUN
fis-1504	128	15			NOUN
fis-1504	128	16			NOUN
fis-1504	128	17			NOUN
fis-1504	128	18			NOUN
fis-1504	128	19			NOUN
fis-1504	128	20			NOUN
fis-1504	128	21			NOUN
fis-1504	128	22			PROPN
fis-1504	128	23			PROPN
fis-1504	128	24			INTJ
fis-1504	128	25			PROPN
fis-1504	128	26			ADJ
fis-1504	128	27			NOUN
fis-1504	128	28			NOUN
fis-1504	128	29			NOUN
fis-1504	128	30			NOUN
fis-1504	128	31			PROPN
fis-1504	128	32			PROPN
fis-1504	128	33			PROPN
fis-1504	128	34			NOUN
fis-1504	128	35			PROPN
fis-1504	128	36			PROPN
fis-1504	128	37			NOUN
fis-1504	128	38			PROPN
fis-1504	128	39			NOUN
fis-1504	128	40			PROPN
fis-1504	128	41			PROPN
fis-1504	128	42			NOUN
fis-1504	128	43			PROPN
fis-1504	128	44	(	(	PUNCT
fis-1504	128	45	15	15	NUM
fis-1504	128	46	)	)	PUNCT
fis-1504	128	47	y.	y.	NOUN
fis-1504	128	48	wang	wang	PROPN
fis-1504	128	49	et	et	PROPN
fis-1504	128	50	alii	alii	PROPN
fis-1504	128	51	,	,	PUNCT
fis-1504	128	52	frattura	frattura	PROPN
fis-1504	128	53	ed	ed	PROPN
fis-1504	128	54	integrità	integrità	PROPN
fis-1504	128	55	strutturale	strutturale	PROPN
fis-1504	128	56	,	,	PUNCT
fis-1504	128	57	33	33	NUM
fis-1504	128	58	(	(	PUNCT
fis-1504	128	59	2015	2015	NUM
fis-1504	128	60	)	)	PUNCT
fis-1504	128	61	345	345	NUM
fis-1504	128	62	-	-	SYM
fis-1504	128	63	356	356	NUM
fis-1504	128	64	;	;	PUNCT
fis-1504	128	65	doi	doi	NOUN
fis-1504	128	66	:	:	PUNCT
fis-1504	129	1	10.3221	10.3221	NUM
fis-1504	129	2	/	/	SYM
fis-1504	129	3	igf	igf	PROPN
fis-1504	129	4	-	-	ADJ
fis-1504	129	5	esis.33.38	esis.33.38	PROPN
fis-1504	129	6	350	350	NUM
fis-1504	129	7			NOUN
fis-1504	129	8			PUNCT
fis-1504	129	9	x	x	PUNCT
fis-1504	130	1	xy	xy	PROPN
fis-1504	130	2	xz	xz	PROPN
fis-1504	131	1	n	n	INTJ
fis-1504	132	1	xy	xy	PROPN
fis-1504	132	2	y	y	PROPN
fis-1504	133	1	yz	yz	PROPN
fis-1504	133	2	xz	xz	PROPN
fis-1504	134	1	yz	yz	PROPN
fis-1504	134	2	z	z	PROPN
fis-1504	134	3	(	(	PUNCT
fis-1504	134	4	t	t	PROPN
fis-1504	134	5	)	)	PUNCT
fis-1504	134	6	(	(	PUNCT
fis-1504	134	7	t	t	NOUN
fis-1504	134	8	)	)	PUNCT
fis-1504	134	9	(	(	PUNCT
fis-1504	134	10	t	t	NOUN
fis-1504	134	11	)	)	PUNCT
fis-1504	134	12	(	(	PUNCT
fis-1504	134	13	t	t	NOUN
fis-1504	134	14	)	)	PUNCT
fis-1504	134	15	(	(	PUNCT
fis-1504	134	16	t	t	NOUN
fis-1504	134	17	)	)	PUNCT
fis-1504	134	18	(	(	PUNCT
fis-1504	134	19	t	t	NOUN
fis-1504	134	20	)	)	PUNCT
fis-1504	134	21	(	(	PUNCT
fis-1504	134	22	t	t	NOUN
fis-1504	134	23	)	)	PUNCT
fis-1504	134	24	(	(	PUNCT
fis-1504	134	25	t	t	NOUN
fis-1504	134	26	)	)	PUNCT
fis-1504	134	27	(	(	PUNCT
fis-1504	134	28	t	t	NOUN
fis-1504	134	29	)	)	PUNCT
fis-1504	134	30	x	x	PUNCT
fis-1504	135	1	x	x	PUNCT
fis-1504	135	2	y	y	PROPN
fis-1504	135	3	z	z	PROPN
fis-1504	135	4	y	y	PROPN
fis-1504	135	5	z	z	PROPN
fis-1504	135	6	n	n	NOUN
fis-1504	135	7	t	t	PROPN
fis-1504	135	8	n	n	CCONJ
fis-1504	135	9	n	n	CCONJ
fis-1504	135	10	n	n	CCONJ
fis-1504	135	11	n	n	CCONJ
fis-1504	135	12	n	n	CCONJ
fis-1504	135	13			NOUN
fis-1504	135	14			NOUN
fis-1504	135	15			NOUN
fis-1504	135	16			NOUN
fis-1504	135	17			NOUN
fis-1504	135	18			NOUN
fis-1504	135	19			NOUN
fis-1504	135	20			NOUN
fis-1504	135	21			NOUN
fis-1504	135	22			PROPN
fis-1504	135	23			PROPN
fis-1504	135	24			INTJ
fis-1504	135	25			PROPN
fis-1504	135	26			ADJ
fis-1504	135	27			NOUN
fis-1504	135	28			NOUN
fis-1504	135	29			NOUN
fis-1504	135	30			NOUN
fis-1504	135	31			PROPN
fis-1504	135	32			PROPN
fis-1504	135	33			PROPN
fis-1504	135	34			NOUN
fis-1504	135	35			PROPN
fis-1504	135	36			PROPN
fis-1504	135	37			NOUN
fis-1504	135	38			PROPN
fis-1504	135	39			NOUN
fis-1504	135	40			PROPN
fis-1504	135	41			PROPN
fis-1504	135	42			NOUN
fis-1504	135	43			PROPN
fis-1504	135	44	(	(	PUNCT
fis-1504	135	45	16	16	NUM
fis-1504	135	46	)	)	PUNCT
fis-1504	135	47	evaluation	evaluation	NOUN
fis-1504	135	48	of	of	ADP
fis-1504	135	49	strain	strain	NOUN
fis-1504	135	50	and	and	CCONJ
fis-1504	135	51	stress	stress	NOUN
fis-1504	135	52	components	component	NOUN
fis-1504	135	53	relative	relative	ADJ
fis-1504	135	54	to	to	ADP
fis-1504	135	55	the	the	DET
fis-1504	135	56	critical	critical	ADJ
fis-1504	135	57	plane	plane	NOUN
fis-1504	135	58	onsider	onsider	NOUN
fis-1504	135	59	the	the	DET
fis-1504	135	60	body	body	NOUN
fis-1504	135	61	subjected	subject	VERB
fis-1504	135	62	to	to	ADP
fis-1504	135	63	a	a	DET
fis-1504	135	64	complex	complex	ADJ
fis-1504	135	65	system	system	NOUN
fis-1504	135	66	of	of	ADP
fis-1504	135	67	time	time	NOUN
fis-1504	135	68	variable	variable	ADJ
fis-1504	135	69	forces	force	NOUN
fis-1504	135	70	shown	show	VERB
fis-1504	135	71	in	in	ADP
fis-1504	135	72	fig	fig	NOUN
fis-1504	135	73	.	.	PUNCT
fis-1504	136	1	3	3	X
fis-1504	136	2	.	.	X
fis-1504	136	3	the	the	DET
fis-1504	136	4	applied	apply	VERB
fis-1504	136	5	load	load	NOUN
fis-1504	136	6	history	history	NOUN
fis-1504	136	7	is	be	AUX
fis-1504	136	8	defined	define	VERB
fis-1504	136	9	in	in	ADP
fis-1504	136	10	the	the	DET
fis-1504	136	11	time	time	NOUN
fis-1504	136	12	interval	interval	NOUN
fis-1504	136	13	[	[	X
fis-1504	136	14	0	0	NUM
fis-1504	136	15	,	,	PUNCT
fis-1504	136	16	t	t	NOUN
fis-1504	136	17	]	]	PUNCT
fis-1504	136	18	and	and	CCONJ
fis-1504	136	19	it	it	PRON
fis-1504	136	20	is	be	AUX
fis-1504	136	21	assumed	assume	VERB
fis-1504	136	22	to	to	PART
fis-1504	136	23	result	result	VERB
fis-1504	136	24	in	in	ADP
fis-1504	136	25	a	a	DET
fis-1504	136	26	va	va	NOUN
fis-1504	136	27	multiaxial	multiaxial	ADJ
fis-1504	136	28	strain	strain	NOUN
fis-1504	136	29	state	state	NOUN
fis-1504	136	30	at	at	ADP
fis-1504	136	31	point	point	NOUN
fis-1504	136	32	o.	o.	INTJ
fis-1504	136	33	by	by	ADP
fis-1504	136	34	using	use	VERB
fis-1504	136	35	the	the	DET
fis-1504	136	36	-mvm	-mvm	NOUN
fis-1504	136	37	,	,	PUNCT
fis-1504	136	38	the	the	DET
fis-1504	136	39	orientation	orientation	NOUN
fis-1504	136	40	of	of	ADP
fis-1504	136	41	the	the	DET
fis-1504	136	42	potential	potential	ADJ
fis-1504	136	43	critical	critical	ADJ
fis-1504	136	44	plane	plane	NOUN
fis-1504	136	45	can	can	AUX
fis-1504	136	46	be	be	AUX
fis-1504	136	47	determined	determine	VERB
fis-1504	136	48	through	through	ADP
fis-1504	136	49	that	that	DET
fis-1504	136	50	direction	direction	NOUN
fis-1504	136	51	which	which	PRON
fis-1504	136	52	experiences	experience	VERB
fis-1504	136	53	the	the	DET
fis-1504	136	54	maximum	maximum	ADJ
fis-1504	136	55	variance	variance	NOUN
fis-1504	136	56	of	of	ADP
fis-1504	136	57	the	the	DET
fis-1504	136	58	resolved	resolve	VERB
fis-1504	136	59	shear	shear	NOUN
fis-1504	136	60	strain	strain	NOUN
fis-1504	136	61	.	.	PUNCT
fis-1504	137	1	after	after	ADP
fis-1504	137	2	determining	determine	VERB
fis-1504	137	3	the	the	DET
fis-1504	137	4	direction	direction	NOUN
fis-1504	137	5	of	of	ADP
fis-1504	137	6	maximum	maximum	ADJ
fis-1504	137	7	variance	variance	NOUN
fis-1504	137	8	(	(	PUNCT
fis-1504	137	9	mv	mv	PROPN
fis-1504	137	10	)	)	PUNCT
fis-1504	137	11	,	,	PUNCT
fis-1504	137	12	the	the	DET
fis-1504	137	13	shear	shear	NOUN
fis-1504	137	14	strain	strain	NOUN
fis-1504	137	15	resolved	resolve	VERB
fis-1504	137	16	along	along	ADP
fis-1504	137	17	this	this	DET
fis-1504	137	18	direction	direction	NOUN
fis-1504	137	19	,	,	PUNCT
fis-1504	137	20	mv	mv	PROPN
fis-1504	137	21	(	(	PUNCT
fis-1504	137	22	)	)	PUNCT
fis-1504	137	23	t	t	NOUN
fis-1504	137	24	,	,	PUNCT
fis-1504	137	25	the	the	DET
fis-1504	137	26	shear	shear	NOUN
fis-1504	137	27	stress	stress	NOUN
fis-1504	137	28	resolved	resolve	VERB
fis-1504	137	29	along	along	ADP
fis-1504	137	30	the	the	DET
fis-1504	137	31	maximum	maximum	ADJ
fis-1504	137	32	variance	variance	NOUN
fis-1504	137	33	direction	direction	NOUN
fis-1504	137	34	,	,	PUNCT
fis-1504	137	35	mv	mv	PROPN
fis-1504	137	36	(	(	PUNCT
fis-1504	137	37	)	)	PUNCT
fis-1504	137	38	t	t	NOUN
fis-1504	137	39	,	,	PUNCT
fis-1504	137	40	and	and	CCONJ
fis-1504	137	41	the	the	DET
fis-1504	137	42	stress	stress	NOUN
fis-1504	137	43	normal	normal	ADJ
fis-1504	137	44	to	to	ADP
fis-1504	137	45	the	the	DET
fis-1504	137	46	plane	plane	NOUN
fis-1504	137	47	experiencing	experience	VERB
fis-1504	137	48	the	the	DET
fis-1504	137	49	maximum	maximum	ADJ
fis-1504	137	50	variance	variance	NOUN
fis-1504	137	51	of	of	ADP
fis-1504	137	52	the	the	DET
fis-1504	137	53	resolved	resolve	VERB
fis-1504	137	54	shear	shear	NOUN
fis-1504	137	55	strain	strain	NOUN
fis-1504	137	56	,	,	PUNCT
fis-1504	137	57	n	n	PROPN
fis-1504	137	58	(	(	PUNCT
fis-1504	137	59	)	)	PUNCT
fis-1504	137	60	t	t	PROPN
fis-1504	137	61	,	,	PUNCT
fis-1504	137	62	can	can	AUX
fis-1504	137	63	be	be	AUX
fis-1504	137	64	evaluated	evaluate	VERB
fis-1504	137	65	,	,	PUNCT
fis-1504	137	66	at	at	ADP
fis-1504	137	67	any	any	DET
fis-1504	137	68	instant	instant	NOUN
fis-1504	137	69	,	,	PUNCT
fis-1504	137	70	t	t	PROPN
fis-1504	137	71	,	,	PUNCT
fis-1504	137	72	of	of	ADP
fis-1504	137	73	the	the	DET
fis-1504	137	74	load	load	NOUN
fis-1504	137	75	history	history	NOUN
fis-1504	137	76	,	,	PUNCT
fis-1504	137	77	through	through	ADP
fis-1504	137	78	eq	eq	NOUN
fis-1504	137	79	.	.	PUNCT
fis-1504	138	1	(	(	PUNCT
fis-1504	138	2	14	14	NUM
fis-1504	138	3	)	)	PUNCT
fis-1504	138	4	to	to	ADP
fis-1504	138	5	(	(	PUNCT
fis-1504	138	6	16	16	NUM
fis-1504	138	7	)	)	PUNCT
fis-1504	138	8	.	.	PUNCT
fis-1504	139	1	attention	attention	NOUN
fis-1504	139	2	can	can	AUX
fis-1504	139	3	initially	initially	ADV
fis-1504	139	4	be	be	AUX
fis-1504	139	5	focused	focus	VERB
fis-1504	139	6	on	on	ADP
fis-1504	139	7	stress	stress	NOUN
fis-1504	139	8	component	component	NOUN
fis-1504	139	9	,	,	PUNCT
fis-1504	139	10	n	n	CCONJ
fis-1504	139	11	(	(	PUNCT
fis-1504	139	12	)	)	PUNCT
fis-1504	139	13	t	t	PROPN
fis-1504	139	14	,	,	PUNCT
fis-1504	139	15	which	which	PRON
fis-1504	139	16	is	be	AUX
fis-1504	139	17	defined	define	VERB
fis-1504	139	18	in	in	ADP
fis-1504	139	19	the	the	DET
fis-1504	139	20	time	time	NOUN
fis-1504	139	21	interval	interval	NOUN
fis-1504	139	22	[	[	X
fis-1504	139	23	0	0	NUM
fis-1504	139	24	,	,	PUNCT
fis-1504	139	25	t	t	PROPN
fis-1504	139	26	]	]	PUNCT
fis-1504	139	27	.	.	PUNCT
fis-1504	140	1	the	the	DET
fis-1504	140	2	mean	mean	ADJ
fis-1504	140	3	value	value	NOUN
fis-1504	140	4	of	of	ADP
fis-1504	140	5	this	this	DET
fis-1504	140	6	stress	stress	NOUN
fis-1504	140	7	component	component	NOUN
fis-1504	140	8	is	be	AUX
fis-1504	140	9	equal	equal	ADJ
fis-1504	140	10	to	to	ADP
fis-1504	140	11	t	t	PROPN
fis-1504	140	12	n	n	CCONJ
fis-1504	140	13	,	,	PUNCT
fis-1504	140	14	 	 	SPACE
fis-1504	140	15	m	m	VERB
fis-1504	140	16	n	n	ADJ
fis-1504	140	17	0	0	NUM
fis-1504	140	18	1	1	NUM
fis-1504	140	19	σ	σ	PROPN
fis-1504	140	20	σ	σ	PROPN
fis-1504	140	21	(	(	PUNCT
fis-1504	140	22	)	)	PUNCT
fis-1504	140	23	t	t	NOUN
fis-1504	140	24	t	t	NOUN
fis-1504	140	25	dt	dt	NOUN
fis-1504	140	26			PUNCT
fis-1504	140	27	(	(	PUNCT
fis-1504	140	28	17	17	NUM
fis-1504	140	29	)	)	PUNCT
fis-1504	140	30	the	the	DET
fis-1504	140	31	equivalent	equivalent	ADJ
fis-1504	140	32	amplitude	amplitude	NOUN
fis-1504	140	33	of	of	ADP
fis-1504	140	34	n	n	PROPN
fis-1504	140	35	(	(	PUNCT
fis-1504	140	36	)	)	PUNCT
fis-1504	140	37	t	t	PROPN
fis-1504	140	38	is	be	AUX
fis-1504	140	39	suggested	suggest	VERB
fis-1504	140	40	here	here	ADV
fis-1504	140	41	as	as	ADP
fis-1504	140	42	being	be	AUX
fis-1504	140	43	calculated	calculate	VERB
fis-1504	140	44	as	as	SCONJ
fis-1504	140	45	follows	follow	VERB
fis-1504	140	46	:	:	PUNCT
fis-1504	140	47			PROPN
fis-1504	140	48	n	n	PROPN
fis-1504	140	49	,	,	PUNCT
fis-1504	140	50	a	a	DET
fis-1504	140	51	nσ	nσ	NOUN
fis-1504	140	52	2	2	NUM
fis-1504	140	53	var[σ	var[σ	NOUN
fis-1504	140	54	]	]	PUNCT
fis-1504	140	55	t	t	PROPN
fis-1504	140	56			NUM
fis-1504	140	57	(	(	PUNCT
fis-1504	140	58	18	18	NUM
fis-1504	140	59	)	)	PUNCT
fis-1504	140	60	where	where	SCONJ
fis-1504	140	61	var	var	NOUN
fis-1504	140	62	[	[	PUNCT
fis-1504	140	63	n	n	X
fis-1504	140	64	(	(	PUNCT
fis-1504	140	65	)	)	PUNCT
fis-1504	140	66	t	t	PROPN
fis-1504	140	67	]	]	PUNCT
fis-1504	140	68	is	be	AUX
fis-1504	140	69	the	the	DET
fis-1504	140	70	variance	variance	NOUN
fis-1504	140	71	of	of	ADP
fis-1504	140	72	stress	stress	NOUN
fis-1504	140	73	component	component	NOUN
fis-1504	140	74	n	n	CCONJ
fis-1504	140	75	(	(	PUNCT
fis-1504	140	76	)	)	PUNCT
fis-1504	140	77	t	t	ADJ
fis-1504	140	78	,	,	PUNCT
fis-1504	140	79	i.e.	i.e.	X
fis-1504	140	80	t	t	PROPN
fis-1504	140	81	2	2	NUM
fis-1504	140	82	n	n	CCONJ
fis-1504	140	83	n	n	CCONJ
fis-1504	140	84	n	n	CCONJ
fis-1504	140	85	,	,	PUNCT
fis-1504	140	86	m	m	VERB
fis-1504	140	87	0	0	NUM
fis-1504	140	88	1	1	NUM
fis-1504	140	89	var[σ	var[σ	NOUN
fis-1504	140	90	(	(	PUNCT
fis-1504	140	91	)	)	PUNCT
fis-1504	140	92	]	]	PUNCT
fis-1504	141	1	[	[	X
fis-1504	141	2	σ	σ	X
fis-1504	141	3	(	(	PUNCT
fis-1504	141	4	)	)	PUNCT
fis-1504	141	5	σ	σ	NOUN
fis-1504	141	6	]	]	PUNCT
fis-1504	141	7	t	t	PROPN
fis-1504	141	8	t	t	PROPN
fis-1504	141	9	t	t	PROPN
fis-1504	141	10	dt	dt	NOUN
fis-1504	141	11			NOUN
fis-1504	141	12	(	(	PUNCT
fis-1504	141	13	19	19	NUM
fis-1504	141	14	)	)	PUNCT
fis-1504	141	15	consider	consider	VERB
fis-1504	141	16	now	now	ADV
fis-1504	141	17	the	the	DET
fis-1504	141	18	shear	shear	NOUN
fis-1504	141	19	stress	stress	NOUN
fis-1504	141	20	,	,	PUNCT
fis-1504	141	21	mv	mv	PROPN
fis-1504	141	22	(	(	PUNCT
fis-1504	141	23	)	)	PUNCT
fis-1504	141	24	t	t	NOUN
fis-1504	141	25	,	,	PUNCT
fis-1504	141	26	resolved	resolve	VERB
fis-1504	141	27	along	along	ADP
fis-1504	141	28	direction	direction	NOUN
fis-1504	141	29	mv	mv	PROPN
fis-1504	141	30	.	.	PUNCT
fis-1504	142	1	owing	owe	VERB
fis-1504	142	2	to	to	ADP
fis-1504	142	3	the	the	DET
fis-1504	142	4	fact	fact	NOUN
fis-1504	142	5	that	that	SCONJ
fis-1504	142	6	also	also	ADV
fis-1504	142	7	mv	mv	PROPN
fis-1504	142	8	(	(	PUNCT
fis-1504	142	9	)	)	PUNCT
fis-1504	142	10	t	t	NOUN
fis-1504	142	11	is	be	AUX
fis-1504	142	12	a	a	DET
fis-1504	142	13	monodimensional	monodimensional	ADJ
fis-1504	142	14	stress	stress	NOUN
fis-1504	142	15	quantity	quantity	NOUN
fis-1504	142	16	defined	define	VERB
fis-1504	142	17	in	in	ADP
fis-1504	142	18	the	the	DET
fis-1504	142	19	time	time	NOUN
fis-1504	142	20	interval	interval	NOUN
fis-1504	142	21	[	[	X
fis-1504	142	22	0	0	NUM
fis-1504	142	23	,	,	PUNCT
fis-1504	142	24	t	t	PROPN
fis-1504	142	25	]	]	PUNCT
fis-1504	142	26	,	,	PUNCT
fis-1504	142	27	its	its	PRON
fis-1504	142	28	mean	mean	ADJ
fis-1504	142	29	value	value	NOUN
fis-1504	142	30	and	and	CCONJ
fis-1504	142	31	its	its	PRON
fis-1504	142	32	equivalent	equivalent	ADJ
fis-1504	142	33	amplitude	amplitude	NOUN
fis-1504	142	34	can	can	AUX
fis-1504	142	35	directly	directly	ADV
fis-1504	142	36	be	be	AUX
fis-1504	142	37	determined	determine	VERB
fis-1504	142	38	by	by	ADP
fis-1504	142	39	following	follow	VERB
fis-1504	142	40	a	a	DET
fis-1504	142	41	strategy	strategy	NOUN
fis-1504	142	42	similar	similar	ADJ
fis-1504	142	43	to	to	ADP
fis-1504	142	44	the	the	DET
fis-1504	142	45	one	one	NOUN
fis-1504	142	46	adopted	adopt	VERB
fis-1504	142	47	above	above	ADV
fis-1504	142	48	to	to	PART
fis-1504	142	49	calculate	calculate	VERB
fis-1504	142	50	n	n	CCONJ
fis-1504	142	51	,	,	PUNCT
fis-1504	142	52	m	m	NOUN
fis-1504	142	53	and	and	CCONJ
fis-1504	142	54	n	n	CCONJ
fis-1504	142	55	,	,	PUNCT
fis-1504	142	56	a	a	NOUN
fis-1504	142	57	.	.	PUNCT
fis-1504	143	1	in	in	ADP
fis-1504	143	2	particular	particular	ADJ
fis-1504	143	3	,	,	PUNCT
fis-1504	143	4	m	m	PROPN
fis-1504	143	5	is	be	AUX
fis-1504	143	6	equal	equal	ADJ
fis-1504	143	7	to	to	ADP
fis-1504	143	8	t	t	PROPN
fis-1504	143	9	m	m	PROPN
fis-1504	143	10	mv	mv	NOUN
fis-1504	143	11	0	0	NUM
fis-1504	143	12	1	1	NUM
fis-1504	143	13	τ	τ	SYM
fis-1504	143	14	τ	τ	PROPN
fis-1504	143	15	(	(	PUNCT
fis-1504	143	16	)	)	PUNCT
fis-1504	143	17	t	t	NOUN
fis-1504	143	18	t	t	NOUN
fis-1504	143	19	dt	dt	NOUN
fis-1504	143	20			PUNCT
fis-1504	143	21	(	(	PUNCT
fis-1504	143	22	20	20	NUM
fis-1504	143	23	)	)	PUNCT
fis-1504	143	24	whereas	whereas	SCONJ
fis-1504	143	25	the	the	DET
fis-1504	143	26	equivalent	equivalent	ADJ
fis-1504	143	27	amplitude	amplitude	NOUN
fis-1504	143	28	of	of	ADP
fis-1504	143	29	the	the	DET
fis-1504	143	30	shear	shear	NOUN
fis-1504	143	31	stress	stress	NOUN
fis-1504	143	32	resolved	resolve	VERB
fis-1504	143	33	along	along	ADP
fis-1504	143	34	direction	direction	NOUN
fis-1504	143	35	mv	mv	PROPN
fis-1504	143	36	takes	take	VERB
fis-1504	143	37	on	on	ADP
fis-1504	143	38	the	the	DET
fis-1504	143	39	following	follow	VERB
fis-1504	143	40	value	value	NOUN
fis-1504	143	41	:	:	PUNCT
fis-1504	143	42			PROPN
fis-1504	143	43	a	a	ADJ
fis-1504	143	44	mvτ	mvτ	VERB
fis-1504	143	45	2	2	NUM
fis-1504	143	46	var[τ	var[τ	ADV
fis-1504	143	47	]	]	PUNCT
fis-1504	143	48	t	t	PROPN
fis-1504	143	49			NUM
fis-1504	143	50	(	(	PUNCT
fis-1504	143	51	21	21	NUM
fis-1504	143	52	)	)	PUNCT
fis-1504	143	53	where	where	SCONJ
fis-1504	143	54	t	t	PROPN
fis-1504	143	55	2	2	NUM
fis-1504	143	56	mv	mv	PROPN
fis-1504	143	57	mv	mv	PROPN
fis-1504	143	58	m	m	PROPN
fis-1504	143	59	0	0	NUM
fis-1504	143	60	1	1	NUM
fis-1504	143	61	var[τ	var[τ	ADV
fis-1504	143	62	(	(	PUNCT
fis-1504	143	63	)	)	PUNCT
fis-1504	143	64	]	]	PUNCT
fis-1504	144	1	[	[	X
fis-1504	144	2	τ	τ	X
fis-1504	144	3	(	(	PUNCT
fis-1504	144	4	)	)	PUNCT
fis-1504	144	5	τ	τ	PROPN
fis-1504	144	6	]	]	PUNCT
fis-1504	144	7	t	t	PROPN
fis-1504	144	8	t	t	PROPN
fis-1504	144	9	t	t	PROPN
fis-1504	144	10	dt	dt	NOUN
fis-1504	144	11			NOUN
fis-1504	144	12	(	(	PUNCT
fis-1504	144	13	22	22	NUM
fis-1504	144	14	)	)	PUNCT
fis-1504	144	15	then	then	ADV
fis-1504	144	16	a	a	DET
fis-1504	144	17	stress	stress	NOUN
fis-1504	144	18	ratio	ratio	NOUN
fis-1504	144	19	 	 	SPACE
fis-1504	144	20	ρ	ρ	PROPN
fis-1504	144	21	,	,	PUNCT
fis-1504	144	22	which	which	PRON
fis-1504	144	23	will	will	AUX
fis-1504	144	24	be	be	AUX
fis-1504	144	25	used	use	VERB
fis-1504	144	26	to	to	PART
fis-1504	144	27	adapt	adapt	VERB
fis-1504	144	28	the	the	DET
fis-1504	144	29	manson	manson	NOUN
fis-1504	144	30	-	-	PUNCT
fis-1504	144	31	coffin	coffin	NOUN
fis-1504	144	32	curve	curve	NOUN
fis-1504	144	33	to	to	ADP
fis-1504	144	34	the	the	DET
fis-1504	144	35	degree	degree	NOUN
fis-1504	144	36	of	of	ADP
fis-1504	144	37	multi	multi	ADJ
fis-1504	144	38	-	-	NOUN
fis-1504	144	39	axiality	axiality	NOUN
fis-1504	144	40	and	and	CCONJ
fis-1504	144	41	nonproportionality	nonproportionality	NOUN
fis-1504	144	42	of	of	ADP
fis-1504	144	43	the	the	DET
fis-1504	144	44	stress	stress	NOUN
fis-1504	144	45	/	/	SYM
fis-1504	144	46	strain	strain	NOUN
fis-1504	144	47	state	state	NOUN
fis-1504	144	48	at	at	ADP
fis-1504	144	49	the	the	DET
fis-1504	144	50	assumed	assume	VERB
fis-1504	144	51	crack	crack	NOUN
fis-1504	144	52	initiation	initiation	NOUN
fis-1504	144	53	site	site	NOUN
fis-1504	144	54	can	can	AUX
fis-1504	144	55	be	be	AUX
fis-1504	144	56	defined	define	VERB
fis-1504	144	57	as	as	SCONJ
fis-1504	144	58	follows	follow	VERB
fis-1504	144	59	:	:	PUNCT
fis-1504	144	60	n	n	CCONJ
fis-1504	144	61	,	,	PUNCT
fis-1504	144	62	 	 	SPACE
fis-1504	144	63	m	m	PROPN
fis-1504	144	64	n	n	CCONJ
fis-1504	144	65	,	,	PUNCT
fis-1504	144	66	 	 	SPACE
fis-1504	144	67	a	a	DET
fis-1504	144	68	a	a	PROPN
fis-1504	144	69	σ	σ	PROPN
fis-1504	144	70	σ	σ	PROPN
fis-1504	144	71	ρ	ρ	PROPN
fis-1504	144	72	τ	τ	PROPN
fis-1504	144	73			NOUN
fis-1504	144	74			NUM
fis-1504	144	75	(	(	PUNCT
fis-1504	144	76	23	23	NUM
fis-1504	144	77	)	)	PUNCT
fis-1504	144	78	c	c	PROPN
fis-1504	144	79	y.	y.	PROPN
fis-1504	144	80	wang	wang	PROPN
fis-1504	144	81	et	et	PROPN
fis-1504	144	82	alii	alii	PROPN
fis-1504	144	83	,	,	PUNCT
fis-1504	144	84	frattura	frattura	PROPN
fis-1504	144	85	ed	ed	PROPN
fis-1504	144	86	integrità	integrità	PROPN
fis-1504	144	87	strutturale	strutturale	PROPN
fis-1504	144	88	,	,	PUNCT
fis-1504	144	89	33	33	NUM
fis-1504	144	90	(	(	PUNCT
fis-1504	144	91	2015	2015	NUM
fis-1504	144	92	)	)	PUNCT
fis-1504	144	93	345	345	NUM
fis-1504	144	94	-	-	SYM
fis-1504	144	95	356	356	NUM
fis-1504	144	96	;	;	PUNCT
fis-1504	144	97	doi	doi	NOUN
fis-1504	144	98	:	:	PUNCT
fis-1504	144	99	10.3221	10.3221	NUM
fis-1504	144	100	/	/	SYM
fis-1504	144	101	igf	igf	PROPN
fis-1504	144	102	-	-	ADJ
fis-1504	144	103	esis.33.38	esis.33.38	PROPN
fis-1504	144	104	351	351	NUM
fis-1504	144	105	to	to	PART
fis-1504	144	106	conclude	conclude	VERB
fis-1504	144	107	the	the	DET
fis-1504	144	108	present	present	ADJ
fis-1504	144	109	section	section	NOUN
fis-1504	144	110	it	it	PRON
fis-1504	144	111	is	be	AUX
fis-1504	144	112	important	important	ADJ
fis-1504	144	113	to	to	PART
fis-1504	144	114	highlight	highlight	VERB
fis-1504	144	115	that	that	PRON
fis-1504	144	116	,	,	PUNCT
fis-1504	144	117	in	in	ADP
fis-1504	144	118	general	general	ADJ
fis-1504	144	119	,	,	PUNCT
fis-1504	144	120	there	there	PRON
fis-1504	144	121	exist	exist	VERB
fis-1504	144	122	two	two	NUM
fis-1504	144	123	or	or	CCONJ
fis-1504	144	124	more	more	ADV
fis-1504	144	125	different	different	ADJ
fis-1504	144	126	directions	direction	NOUN
fis-1504	144	127	which	which	PRON
fis-1504	144	128	experience	experience	VERB
fis-1504	144	129	the	the	DET
fis-1504	144	130	maximum	maximum	ADJ
fis-1504	144	131	variance	variance	NOUN
fis-1504	144	132	of	of	ADP
fis-1504	144	133	the	the	DET
fis-1504	144	134	resolved	resolve	VERB
fis-1504	144	135	shear	shear	NOUN
fis-1504	144	136	strain	strain	NOUN
fis-1504	144	137	,	,	PUNCT
fis-1504	144	138	so	so	SCONJ
fis-1504	144	139	that	that	SCONJ
fis-1504	144	140	,	,	PUNCT
fis-1504	144	141	it	it	PRON
fis-1504	144	142	is	be	AUX
fis-1504	144	143	always	always	ADV
fis-1504	144	144	possible	possible	ADJ
fis-1504	144	145	to	to	PART
fis-1504	144	146	locate	locate	VERB
fis-1504	144	147	,	,	PUNCT
fis-1504	144	148	at	at	ADP
fis-1504	144	149	least	least	ADJ
fis-1504	144	150	,	,	PUNCT
fis-1504	144	151	two	two	NUM
fis-1504	144	152	potential	potential	ADJ
fis-1504	144	153	critical	critical	ADJ
fis-1504	144	154	planes	plane	NOUN
fis-1504	144	155	:	:	PUNCT
fis-1504	144	156	amongst	amongst	ADP
fis-1504	144	157	all	all	DET
fis-1504	144	158	the	the	DET
fis-1504	144	159	potential	potential	ADJ
fis-1504	144	160	critical	critical	ADJ
fis-1504	144	161	planes	plane	NOUN
fis-1504	144	162	,	,	PUNCT
fis-1504	144	163	the	the	DET
fis-1504	144	164	one	one	NOUN
fis-1504	144	165	which	which	PRON
fis-1504	144	166	has	have	VERB
fis-1504	144	167	to	to	PART
fis-1504	144	168	be	be	AUX
fis-1504	144	169	used	use	VERB
fis-1504	144	170	to	to	PART
fis-1504	144	171	estimate	estimate	VERB
fis-1504	144	172	fatigue	fatigue	NOUN
fis-1504	144	173	lifetime	lifetime	NOUN
fis-1504	144	174	is	be	AUX
fis-1504	144	175	that	that	PRON
fis-1504	144	176	experiencing	experience	VERB
fis-1504	144	177	the	the	DET
fis-1504	144	178	largest	large	ADJ
fis-1504	144	179	value	value	NOUN
fis-1504	144	180	of	of	ADP
fis-1504	144	181	ρ	ρ	PROPN
fis-1504	144	182	.	.	PUNCT
fis-1504	145	1	the	the	DET
fis-1504	145	2	mmccm	mmccm	NOUN
fis-1504	145	3	to	to	PART
fis-1504	145	4	address	address	VERB
fis-1504	145	5	the	the	DET
fis-1504	145	6	variable	variable	ADJ
fis-1504	145	7	amplitude	amplitude	NOUN
fis-1504	145	8	problem	problem	NOUN
fis-1504	145	9	the	the	DET
fis-1504	145	10	use	use	NOUN
fis-1504	145	11	of	of	ADP
fis-1504	145	12	the	the	DET
fis-1504	145	13	mmccm	mmccm	NOUN
fis-1504	145	14	in	in	ADP
fis-1504	145	15	those	those	DET
fis-1504	145	16	situations	situation	NOUN
fis-1504	145	17	involving	involve	VERB
fis-1504	145	18	va	va	NOUN
fis-1504	145	19	multiaxial	multiaxial	ADJ
fis-1504	145	20	load	load	NOUN
fis-1504	145	21	histories	history	NOUN
fis-1504	145	22	is	be	AUX
fis-1504	145	23	based	base	VERB
fis-1504	145	24	on	on	ADP
fis-1504	145	25	the	the	DET
fis-1504	145	26	following	follow	VERB
fis-1504	145	27	assumptions	assumption	NOUN
fis-1504	145	28	:	:	PUNCT
fis-1504	145	29	(	(	PUNCT
fis-1504	145	30	i	i	NOUN
fis-1504	145	31	)	)	PUNCT
fis-1504	145	32	initiation	initiation	NOUN
fis-1504	145	33	and	and	CCONJ
fis-1504	145	34	initial	initial	ADJ
fis-1504	145	35	propagation	propagation	NOUN
fis-1504	145	36	of	of	ADP
fis-1504	145	37	stage	stage	NOUN
fis-1504	145	38			ADP
fis-1504	145	39	cracks	crack	NOUN
fis-1504	145	40	occur	occur	VERB
fis-1504	145	41	on	on	ADP
fis-1504	145	42	that	that	DET
fis-1504	145	43	material	material	NOUN
fis-1504	145	44	plane	plane	NOUN
fis-1504	145	45	containing	contain	VERB
fis-1504	145	46	the	the	DET
fis-1504	145	47	direction	direction	NOUN
fis-1504	145	48	experiencing	experience	VERB
fis-1504	145	49	the	the	DET
fis-1504	145	50	maximum	maximum	ADJ
fis-1504	145	51	variance	variance	NOUN
fis-1504	145	52	of	of	ADP
fis-1504	145	53	the	the	DET
fis-1504	145	54	resolved	resolve	VERB
fis-1504	145	55	strain	strain	NOUN
fis-1504	145	56	,	,	PUNCT
fis-1504	145	57	mv	mv	PROPN
fis-1504	145	58	(	(	PUNCT
fis-1504	145	59	)	)	PUNCT
fis-1504	145	60	t	t	NOUN
fis-1504	145	61	;	;	PUNCT
fis-1504	145	62	(	(	PUNCT
fis-1504	145	63	ii	ii	X
fis-1504	145	64	)	)	PUNCT
fis-1504	145	65	the	the	DET
fis-1504	145	66	fatigue	fatigue	NOUN
fis-1504	145	67	damage	damage	NOUN
fis-1504	145	68	depends	depend	VERB
fis-1504	145	69	also	also	ADV
fis-1504	145	70	on	on	ADP
fis-1504	145	71	the	the	DET
fis-1504	145	72	stress	stress	NOUN
fis-1504	145	73	ratio	ratio	NOUN
fis-1504	145	74	ρ	ρ	NOUN
fis-1504	145	75	which	which	PRON
fis-1504	145	76	is	be	AUX
fis-1504	145	77	defined	define	VERB
fis-1504	145	78	in	in	ADP
fis-1504	145	79	the	the	DET
fis-1504	145	80	previous	previous	ADJ
fis-1504	145	81	section	section	NOUN
fis-1504	145	82	.	.	PUNCT
fis-1504	146	1	fig	fig	NOUN
fis-1504	146	2	.	.	PUNCT
fis-1504	147	1	3	3	NUM
fis-1504	147	2	summarizes	summarize	NOUN
fis-1504	147	3	the	the	DET
fis-1504	147	4	approach	approach	NOUN
fis-1504	147	5	proposed	propose	VERB
fis-1504	147	6	in	in	ADP
fis-1504	147	7	the	the	DET
fis-1504	147	8	present	present	ADJ
fis-1504	147	9	paper	paper	NOUN
fis-1504	147	10	to	to	PART
fis-1504	147	11	be	be	AUX
fis-1504	147	12	followed	follow	VERB
fis-1504	147	13	to	to	PART
fis-1504	147	14	estimate	estimate	VERB
fis-1504	147	15	fatigue	fatigue	NOUN
fis-1504	147	16	lifetime	lifetime	NOUN
fis-1504	147	17	of	of	ADP
fis-1504	147	18	engineering	engineering	NOUN
fis-1504	147	19	materials	material	NOUN
fis-1504	147	20	subjected	subject	VERB
fis-1504	147	21	to	to	ADP
fis-1504	147	22	in	in	ADP
fis-1504	147	23	-	-	PUNCT
fis-1504	147	24	field	field	NOUN
fis-1504	147	25	va	va	NOUN
fis-1504	147	26	multiaxial	multiaxial	ADJ
fis-1504	147	27	fatigue	fatigue	NOUN
fis-1504	147	28	loading	loading	NOUN
fis-1504	147	29	.	.	PUNCT
fis-1504	148	1	in	in	ADP
fis-1504	148	2	more	more	ADJ
fis-1504	148	3	detail	detail	NOUN
fis-1504	148	4	,	,	PUNCT
fis-1504	148	5	consider	consider	VERB
fis-1504	148	6	a	a	DET
fis-1504	148	7	body	body	NOUN
fis-1504	148	8	subjected	subject	VERB
fis-1504	148	9	to	to	ADP
fis-1504	148	10	a	a	DET
fis-1504	148	11	complex	complex	ADJ
fis-1504	148	12	system	system	NOUN
fis-1504	148	13	of	of	ADP
fis-1504	148	14	time	time	NOUN
fis-1504	148	15	variable	variable	ADJ
fis-1504	148	16	forces	force	NOUN
fis-1504	148	17	resulting	result	VERB
fis-1504	148	18	in	in	ADP
fis-1504	148	19	a	a	DET
fis-1504	148	20	va	va	NOUN
fis-1504	148	21	multiaxial	multiaxial	ADJ
fis-1504	148	22	strain	strain	NOUN
fis-1504	148	23	state	state	NOUN
fis-1504	148	24	at	at	ADP
fis-1504	148	25	the	the	DET
fis-1504	148	26	assumed	assume	VERB
fis-1504	148	27	crack	crack	NOUN
fis-1504	148	28	initiation	initiation	NOUN
fis-1504	148	29	site	site	NOUN
fis-1504	148	30	(	(	PUNCT
fis-1504	148	31	i.e.	i.e.	X
fis-1504	148	32	point	point	NOUN
fis-1504	148	33	o	o	NOUN
fis-1504	148	34	in	in	ADP
fis-1504	148	35	fig	fig	NOUN
fis-1504	148	36	.	.	PUNCT
fis-1504	149	1	3a	3a	NUM
fis-1504	149	2	)	)	PUNCT
fis-1504	149	3	.	.	PUNCT
fis-1504	150	1	initially	initially	ADV
fis-1504	150	2	,	,	PUNCT
fis-1504	150	3	by	by	ADP
fis-1504	150	4	making	make	VERB
fis-1504	150	5	use	use	NOUN
fis-1504	150	6	of	of	ADP
fis-1504	150	7	the	the	DET
fis-1504	150	8	shear	shear	NOUN
fis-1504	150	9	-mvm	-mvm	PROPN
fis-1504	150	10	,	,	PUNCT
fis-1504	150	11	the	the	DET
fis-1504	150	12	orientation	orientation	NOUN
fis-1504	150	13	of	of	ADP
fis-1504	150	14	the	the	DET
fis-1504	150	15	candidate	candidate	NOUN
fis-1504	150	16	critical	critical	ADJ
fis-1504	150	17	planes	plane	NOUN
fis-1504	150	18	can	can	AUX
fis-1504	150	19	directly	directly	ADV
fis-1504	150	20	be	be	AUX
fis-1504	150	21	determined	determine	VERB
fis-1504	150	22	through	through	ADP
fis-1504	150	23	that	that	DET
fis-1504	150	24	direction	direction	NOUN
fis-1504	150	25	,	,	PUNCT
fis-1504	150	26	mv	mv	NOUN
fis-1504	150	27	,	,	PUNCT
fis-1504	150	28	experiencing	experience	VERB
fis-1504	150	29	the	the	DET
fis-1504	150	30	maximum	maximum	ADJ
fis-1504	150	31	variance	variance	NOUN
fis-1504	150	32	of	of	ADP
fis-1504	150	33	the	the	DET
fis-1504	150	34	resolved	resolve	VERB
fis-1504	150	35	shear	shear	NOUN
fis-1504	150	36	strain	strain	NOUN
fis-1504	150	37	(	(	PUNCT
fis-1504	150	38	fig	fig	NOUN
fis-1504	150	39	.	.	PUNCT
fis-1504	151	1	3b	3b	NUM
fis-1504	151	2	)	)	PUNCT
fis-1504	151	3	.	.	PUNCT
fis-1504	152	1	after	after	ADP
fis-1504	152	2	determining	determine	VERB
fis-1504	152	3	the	the	DET
fis-1504	152	4	direction	direction	NOUN
fis-1504	152	5	of	of	ADP
fis-1504	152	6	maximum	maximum	ADJ
fis-1504	152	7	variance	variance	NOUN
fis-1504	152	8	of	of	ADP
fis-1504	152	9	the	the	DET
fis-1504	152	10	shear	shear	NOUN
fis-1504	152	11	strain	strain	NOUN
fis-1504	152	12	,	,	PUNCT
fis-1504	152	13	the	the	DET
fis-1504	152	14	shear	shear	NOUN
fis-1504	152	15	strain	strain	NOUN
fis-1504	152	16	resolved	resolve	VERB
fis-1504	152	17	along	along	ADP
fis-1504	152	18	this	this	DET
fis-1504	152	19	direction	direction	NOUN
fis-1504	152	20	,	,	PUNCT
fis-1504	152	21	mv	mv	PROPN
fis-1504	152	22	(	(	PUNCT
fis-1504	152	23	)	)	PUNCT
fis-1504	152	24	t	t	NOUN
fis-1504	152	25	,	,	PUNCT
fis-1504	152	26	the	the	DET
fis-1504	152	27	shear	shear	NOUN
fis-1504	152	28	stress	stress	NOUN
fis-1504	152	29	resolved	resolve	VERB
fis-1504	152	30	along	along	ADP
fis-1504	152	31	the	the	DET
fis-1504	152	32	maximum	maximum	ADJ
fis-1504	152	33	variance	variance	NOUN
fis-1504	152	34	direction	direction	NOUN
fis-1504	152	35	,	,	PUNCT
fis-1504	152	36	mv	mv	PROPN
fis-1504	152	37	(	(	PUNCT
fis-1504	152	38	)	)	PUNCT
fis-1504	152	39	t	t	NOUN
fis-1504	152	40	,	,	PUNCT
fis-1504	152	41	and	and	CCONJ
fis-1504	152	42	the	the	DET
fis-1504	152	43	stress	stress	NOUN
fis-1504	152	44	normal	normal	ADJ
fis-1504	152	45	to	to	ADP
fis-1504	152	46	the	the	DET
fis-1504	152	47	critical	critical	ADJ
fis-1504	152	48	planes	plane	NOUN
fis-1504	152	49	,	,	PUNCT
fis-1504	152	50	n	n	PROPN
fis-1504	152	51	(	(	PUNCT
fis-1504	152	52	)	)	PUNCT
fis-1504	152	53	t	t	PROPN
fis-1504	152	54	,	,	PUNCT
fis-1504	152	55	can	can	AUX
fis-1504	152	56	be	be	AUX
fis-1504	152	57	evaluated	evaluate	VERB
fis-1504	152	58	,	,	PUNCT
fis-1504	152	59	at	at	ADP
fis-1504	152	60	any	any	DET
fis-1504	152	61	instant	instant	NOUN
fis-1504	152	62	,	,	PUNCT
fis-1504	152	63	t	t	PROPN
fis-1504	152	64	,	,	PUNCT
fis-1504	152	65	of	of	ADP
fis-1504	152	66	the	the	DET
fis-1504	152	67	load	load	NOUN
fis-1504	152	68	history	history	NOUN
fis-1504	152	69	,	,	PUNCT
fis-1504	152	70	through	through	ADP
fis-1504	152	71	eq	eq	NOUN
fis-1504	152	72	.	.	PUNCT
fis-1504	153	1	(	(	PUNCT
fis-1504	153	2	14	14	NUM
fis-1504	153	3	)	)	PUNCT
fis-1504	153	4	to	to	ADP
fis-1504	153	5	(	(	PUNCT
fis-1504	153	6	16	16	NUM
fis-1504	153	7	)	)	PUNCT
fis-1504	153	8	(	(	PUNCT
fis-1504	153	9	figs	fig	NOUN
fis-1504	153	10	3c	3c	NUM
fis-1504	153	11	and	and	CCONJ
fis-1504	153	12	d	d	NOUN
fis-1504	153	13	)	)	PUNCT
fis-1504	153	14	.	.	PUNCT
fis-1504	154	1	subsequently	subsequently	ADV
fis-1504	154	2	,	,	PUNCT
fis-1504	154	3	the	the	DET
fis-1504	154	4	calculated	calculated	ADJ
fis-1504	154	5	values	value	NOUN
fis-1504	154	6	for	for	ADP
fis-1504	154	7	n	n	CCONJ
fis-1504	154	8	,	,	PUNCT
fis-1504	154	9	m	m	X
fis-1504	154	10	(	(	PUNCT
fis-1504	154	11	eq	eq	NOUN
fis-1504	154	12	.	.	PROPN
fis-1504	154	13	17	17	NUM
fis-1504	154	14	)	)	PUNCT
fis-1504	154	15	,	,	PUNCT
fis-1504	154	16	n	n	CCONJ
fis-1504	154	17	,	,	PUNCT
fis-1504	154	18	a	a	PROPN
fis-1504	154	19	(	(	PUNCT
fis-1504	154	20	eq	eq	NOUN
fis-1504	154	21	.	.	PROPN
fis-1504	154	22	18	18	NUM
fis-1504	154	23	)	)	PUNCT
fis-1504	154	24	and	and	CCONJ
fis-1504	154	25	a	a	NOUN
fis-1504	154	26	(	(	PUNCT
fis-1504	154	27	eq	eq	NOUN
fis-1504	154	28	.	.	PROPN
fis-1504	154	29	21	21	NUM
fis-1504	154	30	)	)	PUNCT
fis-1504	154	31	have	have	VERB
fis-1504	154	32	to	to	PART
fis-1504	154	33	be	be	AUX
fis-1504	154	34	used	use	VERB
fis-1504	154	35	to	to	PART
fis-1504	154	36	estimate	estimate	VERB
fis-1504	154	37	,	,	PUNCT
fis-1504	154	38	according	accord	VERB
fis-1504	154	39	to	to	ADP
fis-1504	154	40	eq	eq	PROPN
fis-1504	154	41	.	.	PUNCT
fis-1504	155	1	(	(	PUNCT
fis-1504	155	2	23	23	NUM
fis-1504	155	3	)	)	PUNCT
fis-1504	155	4	,	,	PUNCT
fis-1504	155	5	critical	critical	ADJ
fis-1504	155	6	plane	plane	NOUN
fis-1504	155	7	stress	stress	NOUN
fis-1504	155	8	ratio	ratio	NOUN
fis-1504	155	9	ρ	ρ	PROPN
fis-1504	155	10	.	.	PUNCT
fis-1504	156	1	according	accord	VERB
fis-1504	156	2	to	to	ADP
fis-1504	156	3	the	the	DET
fis-1504	156	4	determined	determine	VERB
fis-1504	156	5	value	value	NOUN
fis-1504	156	6	for	for	ADP
fis-1504	156	7	ρ	ρ	PROPN
fis-1504	156	8	,	,	PUNCT
fis-1504	156	9	the	the	DET
fis-1504	156	10	profile	profile	NOUN
fis-1504	156	11	of	of	ADP
fis-1504	156	12	the	the	DET
fis-1504	156	13	corresponding	corresponding	ADJ
fis-1504	156	14	modified	modify	VERB
fis-1504	156	15	manson	manson	NOUN
fis-1504	156	16	-	-	PUNCT
fis-1504	156	17	coffin	coffin	NOUN
fis-1504	156	18	curve	curve	NOUN
fis-1504	156	19	can	can	AUX
fis-1504	156	20	be	be	AUX
fis-1504	156	21	described	describe	VERB
fis-1504	156	22	by	by	ADP
fis-1504	156	23	using	use	VERB
fis-1504	156	24	the	the	DET
fis-1504	156	25	following	follow	VERB
fis-1504	156	26	general	general	ADJ
fis-1504	156	27	relationship	relationship	NOUN
fis-1504	157	1	[	[	X
fis-1504	157	2	18	18	NUM
fis-1504	157	3	]	]	SYM
fis-1504	157	4	:	:	PUNCT
fis-1504	157	5			NOUN
fis-1504	157	6			SYM
fis-1504	157	7			NOUN
fis-1504	157	8			NUM
fis-1504	157	9	'	'	PUNCT
fis-1504	157	10	(	(	PUNCT
fis-1504	157	11	)	)	PUNCT
fis-1504	157	12	f	f	PROPN
fis-1504	157	13	(	(	PUNCT
fis-1504	157	14	)	)	PUNCT
fis-1504	157	15	'	'	PUNCT
fis-1504	157	16	a	a	DET
fis-1504	157	17	f	f	X
fis-1504	157	18	f	f	PROPN
fis-1504	157	19	f(2	f(2	PROPN
fis-1504	157	20	)	)	PUNCT
fis-1504	157	21	(	(	PUNCT
fis-1504	157	22	)	)	PUNCT
fis-1504	157	23	2	2	NUM
fis-1504	157	24	cbn	cbn	NOUN
fis-1504	157	25	n	n	CCONJ
fis-1504	157	26	g	g	PROPN
fis-1504	157	27			PROPN
fis-1504	157	28			ADP
fis-1504	157	29			NUM
fis-1504	157	30			NUM
fis-1504	157	31			NOUN
fis-1504	157	32			PUNCT
fis-1504	157	33			PROPN
fis-1504	157	34	(	(	PUNCT
fis-1504	157	35	24	24	NUM
fis-1504	157	36	)	)	PUNCT
fis-1504	157	37	where	where	SCONJ
fis-1504	157	38	'	'	PUNCT
fis-1504	157	39	f	f	X
fis-1504	157	40	(	(	PUNCT
fis-1504	157	41	)	)	PUNCT
fis-1504	157	42			NOUN
fis-1504	157	43			NOUN
fis-1504	157	44	,	,	PUNCT
fis-1504	157	45	'	'	PUNCT
fis-1504	157	46	f	f	X
fis-1504	157	47	(	(	PUNCT
fis-1504	157	48	)	)	PUNCT
fis-1504	157	49			NUM
fis-1504	157	50			NOUN
fis-1504	157	51	,	,	PUNCT
fis-1504	157	52	(	(	PUNCT
fis-1504	157	53	)	)	PUNCT
fis-1504	157	54	b	b	NOUN
fis-1504	157	55			NOUN
fis-1504	157	56	,	,	PUNCT
fis-1504	157	57	(	(	PUNCT
fis-1504	157	58	)	)	PUNCT
fis-1504	157	59	c	c	NOUN
fis-1504	157	60			NOUN
fis-1504	157	61	are	be	AUX
fis-1504	157	62	material	material	NOUN
fis-1504	157	63	functions	function	NOUN
fis-1504	157	64	,	,	PUNCT
fis-1504	157	65	which	which	PRON
fis-1504	157	66	can	can	AUX
fis-1504	157	67	be	be	AUX
fis-1504	157	68	determined	determine	VERB
fis-1504	157	69	through	through	ADP
fis-1504	157	70	the	the	DET
fis-1504	157	71	following	follow	VERB
fis-1504	157	72	equations	equation	NOUN
fis-1504	157	73	[	[	X
fis-1504	157	74	18	18	NUM
fis-1504	157	75	]	]	SYM
fis-1504	157	76	:	:	PUNCT
fis-1504	157	77			NOUN
fis-1504	157	78			SYM
fis-1504	157	79			NOUN
fis-1504	157	80			PUNCT
fis-1504	157	81	0	0	SYM
fis-1504	157	82	0	0	NUM
fis-1504	157	83	b	b	PROPN
fis-1504	157	84	b	b	PROPN
fis-1504	157	85	b	b	PROPN
fis-1504	157	86	b	b	PROPN
fis-1504	157	87	b	b	PROPN
fis-1504	157	88	b	b	PROPN
fis-1504	157	89			ADP
fis-1504	157	90			ADP
fis-1504	157	91			ADJ
fis-1504	157	92			PROPN
fis-1504	157	93			NOUN
fis-1504	157	94			X
fis-1504	157	95	(	(	PUNCT
fis-1504	157	96	25	25	NUM
fis-1504	157	97	)	)	PUNCT
fis-1504	157	98			NOUN
fis-1504	157	99			PUNCT
fis-1504	157	100			NOUN
fis-1504	157	101			PUNCT
fis-1504	157	102	a	a	PRON
fis-1504	157	103	,	,	PUNCT
fis-1504	157	104	ref	ref	NOUN
fis-1504	157	105	'	'	PUNCT
fis-1504	157	106	f	f	NOUN
fis-1504	157	107	(	(	PUNCT
fis-1504	157	108	)	)	PUNCT
fis-1504	157	109	a	a	DET
fis-1504	157	110	(	(	PUNCT
fis-1504	157	111	)	)	PUNCT
fis-1504	157	112	2	2	NUM
fis-1504	157	113	b	b	NOUN
fis-1504	157	114	n	n	NOUN
fis-1504	157	115			NOUN
fis-1504	157	116			PROPN
fis-1504	157	117			NOUN
fis-1504	157	118			PROPN
fis-1504	157	119			NOUN
fis-1504	157	120			PROPN
fis-1504	157	121	(	(	PUNCT
fis-1504	157	122	26	26	NUM
fis-1504	157	123	)	)	PUNCT
fis-1504	157	124			NOUN
fis-1504	158	1			PUNCT
fis-1504	158	2			NOUN
fis-1504	158	3			SYM
fis-1504	158	4			NOUN
fis-1504	158	5			PUNCT
fis-1504	158	6	0	0	NUM
fis-1504	158	7	'	'	PUNCT
fis-1504	158	8	'	'	NOUN
fis-1504	158	9	f	f	X
fis-1504	158	10	a	a	PRON
fis-1504	158	11	,	,	PUNCT
fis-1504	158	12	ref	ref	VERB
fis-1504	158	13	a	a	DET
fis-1504	158	14	f	f	PROPN
fis-1504	158	15	a2	a2	PROPN
fis-1504	158	16	(	(	PUNCT
fis-1504	158	17	1	1	NUM
fis-1504	158	18	)	)	PUNCT
fis-1504	158	19	2	2	NUM
fis-1504	158	20	2	2	NUM
fis-1504	158	21	b	b	PROPN
fis-1504	158	22	b	b	PROPN
fis-1504	158	23	n	n	ADP
fis-1504	158	24	n	n	PRON
fis-1504	158	25			PROPN
fis-1504	158	26			X
fis-1504	158	27			X
fis-1504	158	28			X
fis-1504	158	29			VERB
fis-1504	158	30			PROPN
fis-1504	158	31			NOUN
fis-1504	158	32	(	(	PUNCT
fis-1504	158	33	27	27	NUM
fis-1504	158	34	)	)	PUNCT
fis-1504	158	35			NOUN
fis-1504	158	36			PUNCT
fis-1504	158	37			NOUN
fis-1504	158	38			VERB
fis-1504	158	39	'	'	PUNCT
fis-1504	158	40	'	'	PUNCT
fis-1504	158	41	'	'	PUNCT
fis-1504	159	1	f	f	X
fis-1504	159	2	p	p	X
fis-1504	159	3	f	f	PROPN
fis-1504	159	4	f1	f1	NOUN
fis-1504	159	5	ν	ν	NOUN
fis-1504	159	6	(	(	PUNCT
fis-1504	159	7	1	1	NUM
fis-1504	159	8	)	)	PUNCT
fis-1504	159	9			NUM
fis-1504	159	10			ADP
fis-1504	159	11			ADP
fis-1504	159	12			PROPN
fis-1504	159	13			ADP
fis-1504	159	14			PROPN
fis-1504	159	15			PROPN
fis-1504	159	16			PUNCT
fis-1504	159	17			PUNCT
fis-1504	159	18			X
fis-1504	159	19	(	(	PUNCT
fis-1504	159	20	28	28	NUM
fis-1504	159	21	)	)	PUNCT
fis-1504	159	22			NOUN
fis-1504	159	23			SYM
fis-1504	159	24			NOUN
fis-1504	159	25			PUNCT
fis-1504	159	26	0	0	SYM
fis-1504	159	27	0	0	NUM
fis-1504	160	1	c	c	NOUN
fis-1504	160	2	ρ	ρ	NOUN
fis-1504	160	3	c	c	NOUN
fis-1504	160	4	c	c	NOUN
fis-1504	161	1	c	c	NOUN
fis-1504	161	2	c	c	NOUN
fis-1504	161	3	c	c	VERB
fis-1504	161	4			PROPN
fis-1504	161	5			NUM
fis-1504	161	6			NOUN
fis-1504	161	7			X
fis-1504	161	8	(	(	PUNCT
fis-1504	161	9	29	29	NUM
fis-1504	161	10	)	)	PUNCT
fis-1504	161	11	where	where	SCONJ
fis-1504	161	12	p	p	PROPN
fis-1504	161	13	is	be	AUX
fis-1504	161	14	poisson	poisson	NOUN
fis-1504	161	15	’s	’s	PART
fis-1504	161	16	ratio	ratio	NOUN
fis-1504	161	17	for	for	ADP
fis-1504	161	18	plastic	plastic	ADJ
fis-1504	161	19	strain	strain	NOUN
fis-1504	161	20	,	,	PUNCT
fis-1504	161	21	na	na	X
fis-1504	161	22	is	be	AUX
fis-1504	161	23	the	the	DET
fis-1504	161	24	reference	reference	NOUN
fis-1504	161	25	number	number	NOUN
fis-1504	161	26	of	of	ADP
fis-1504	161	27	cycles	cycle	NOUN
fis-1504	161	28	to	to	ADP
fis-1504	161	29	failure	failure	NOUN
fis-1504	161	30	.	.	PUNCT
fis-1504	162	1	after	after	ADP
fis-1504	162	2	determining	determine	VERB
fis-1504	162	3	the	the	DET
fis-1504	162	4	appropriate	appropriate	ADJ
fis-1504	162	5	reference	reference	NOUN
fis-1504	162	6	fatigue	fatigue	NOUN
fis-1504	162	7	curve	curve	NOUN
fis-1504	162	8	as	as	ADP
fis-1504	162	9	above	above	ADV
fis-1504	162	10	,	,	PUNCT
fis-1504	162	11	by	by	ADP
fis-1504	162	12	post	post	ADJ
fis-1504	162	13	-	-	ADJ
fis-1504	162	14	processing	process	VERB
fis-1504	162	15	the	the	DET
fis-1504	162	16	shear	shear	NOUN
fis-1504	162	17	strain	strain	NOUN
fis-1504	162	18	resolved	resolve	VERB
fis-1504	162	19	along	along	ADP
fis-1504	162	20	direction	direction	NOUN
fis-1504	162	21	mv	mv	PROPN
fis-1504	162	22	,	,	PUNCT
fis-1504	162	23	the	the	DET
fis-1504	162	24	classical	classical	ADJ
fis-1504	162	25	rain	rain	NOUN
fis-1504	162	26	-	-	PUNCT
fis-1504	162	27	flow	flow	NOUN
fis-1504	162	28	method	method	NOUN
fis-1504	162	29	allows	allow	VERB
fis-1504	162	30	the	the	DET
fis-1504	162	31	corresponding	corresponding	ADJ
fis-1504	162	32	shear	shear	NOUN
fis-1504	162	33	strain	strain	NOUN
fis-1504	162	34	spectrum	spectrum	NOUN
fis-1504	162	35	to	to	PART
fis-1504	162	36	be	be	AUX
fis-1504	162	37	built	build	VERB
fis-1504	162	38	directly	directly	ADV
fis-1504	162	39	(	(	PUNCT
fis-1504	162	40	figs	fig	NOUN
fis-1504	162	41	3	3	NUM
fis-1504	162	42	g	g	NOUN
fis-1504	162	43	and	and	CCONJ
fis-1504	162	44	h	h	NOUN
fis-1504	162	45	)	)	PUNCT
fis-1504	162	46	.	.	PUNCT
fis-1504	163	1	finally	finally	ADV
fis-1504	163	2	,	,	PUNCT
fis-1504	163	3	from	from	ADP
fis-1504	163	4	such	such	ADJ
fis-1504	163	5	spectrum	spectrum	NOUN
fis-1504	163	6	fatigue	fatigue	NOUN
fis-1504	163	7	strength	strength	NOUN
fis-1504	163	8	under	under	ADP
fis-1504	163	9	va	va	NOUN
fis-1504	163	10	multiaxial	multiaxial	ADJ
fis-1504	163	11	fatigue	fatigue	NOUN
fis-1504	163	12	loading	loading	NOUN
fis-1504	163	13	can	can	AUX
fis-1504	163	14	be	be	AUX
fis-1504	163	15	predicted	predict	VERB
fis-1504	163	16	according	accord	VERB
fis-1504	163	17	to	to	ADP
fis-1504	163	18	palmgren	palmgren	NOUN
fis-1504	163	19	-	-	PUNCT
fis-1504	163	20	miner	miner	NOUN
fis-1504	163	21	’s	’s	PART
fis-1504	163	22	rule	rule	NOUN
fis-1504	163	23	(	(	PUNCT
fis-1504	163	24	fig	fig	NOUN
fis-1504	163	25	.	.	PUNCT
fis-1504	164	1	3i	3i	NUM
fis-1504	164	2	)	)	PUNCT
fis-1504	164	3	.	.	PUNCT
fis-1504	165	1	here	here	ADV
fis-1504	165	2	it	it	PRON
fis-1504	165	3	is	be	AUX
fis-1504	165	4	assumed	assume	VERB
fis-1504	165	5	that	that	SCONJ
fis-1504	165	6	breakage	breakage	NOUN
fis-1504	165	7	takes	take	VERB
fis-1504	165	8	place	place	NOUN
fis-1504	165	9	when	when	SCONJ
fis-1504	165	10	the	the	DET
fis-1504	165	11	damage	damage	NOUN
fis-1504	165	12	sum	sum	NOUN
fis-1504	165	13	equals	equal	VERB
fis-1504	165	14	unity	unity	NOUN
fis-1504	165	15	.	.	PUNCT
fis-1504	166	1	y.	y.	PROPN
fis-1504	166	2	wang	wang	PROPN
fis-1504	166	3	et	et	PROPN
fis-1504	166	4	alii	alii	PROPN
fis-1504	166	5	,	,	PUNCT
fis-1504	166	6	frattura	frattura	PROPN
fis-1504	166	7	ed	ed	PROPN
fis-1504	166	8	integrità	integrità	PROPN
fis-1504	166	9	strutturale	strutturale	PROPN
fis-1504	166	10	,	,	PUNCT
fis-1504	166	11	33	33	NUM
fis-1504	166	12	(	(	PUNCT
fis-1504	166	13	2015	2015	NUM
fis-1504	166	14	)	)	PUNCT
fis-1504	166	15	345	345	NUM
fis-1504	166	16	-	-	SYM
fis-1504	166	17	356	356	NUM
fis-1504	166	18	;	;	PUNCT
fis-1504	166	19	doi	doi	NOUN
fis-1504	166	20	:	:	PUNCT
fis-1504	166	21	10.3221	10.3221	NUM
fis-1504	166	22	/	/	SYM
fis-1504	166	23	igf	igf	PROPN
fis-1504	166	24	-	-	ADJ
fis-1504	166	25	esis.33.38	esis.33.38	ADJ
fis-1504	166	26	352	352	NUM
fis-1504	166	27	validation	validation	NOUN
fis-1504	166	28	by	by	ADP
fis-1504	166	29	experimental	experimental	ADJ
fis-1504	166	30	data	datum	NOUN
fis-1504	166	31	n	n	PRON
fis-1504	166	32	order	order	NOUN
fis-1504	166	33	to	to	PART
fis-1504	166	34	check	check	VERB
fis-1504	166	35	the	the	DET
fis-1504	166	36	accuracy	accuracy	NOUN
fis-1504	166	37	of	of	ADP
fis-1504	166	38	the	the	DET
fis-1504	166	39	proposed	propose	VERB
fis-1504	166	40	approach	approach	NOUN
fis-1504	166	41	in	in	ADP
fis-1504	166	42	estimating	estimate	VERB
fis-1504	166	43	fatigue	fatigue	NOUN
fis-1504	166	44	lifetime	lifetime	NOUN
fis-1504	166	45	under	under	ADP
fis-1504	166	46	va	va	PROPN
fis-1504	166	47	multiaxial	multiaxial	ADJ
fis-1504	166	48	fatigue	fatigue	NOUN
fis-1504	166	49	loading	loading	NOUN
fis-1504	166	50	,	,	PUNCT
fis-1504	166	51	a	a	DET
fis-1504	166	52	number	number	NOUN
fis-1504	166	53	of	of	ADP
fis-1504	166	54	experimental	experimental	ADJ
fis-1504	166	55	data	datum	NOUN
fis-1504	166	56	were	be	AUX
fis-1504	166	57	selected	select	VERB
fis-1504	166	58	from	from	ADP
fis-1504	166	59	the	the	DET
fis-1504	166	60	technical	technical	ADJ
fis-1504	166	61	literature	literature	NOUN
fis-1504	166	62	[	[	X
fis-1504	166	63	12	12	NUM
fis-1504	166	64	,	,	PUNCT
fis-1504	166	65	20	20	NUM
fis-1504	166	66	-	-	SYM
fis-1504	166	67	22	22	NUM
fis-1504	166	68	]	]	PUNCT
fis-1504	166	69	.	.	PUNCT
fis-1504	167	1	the	the	DET
fis-1504	167	2	summary	summary	NOUN
fis-1504	167	3	of	of	ADP
fis-1504	167	4	the	the	DET
fis-1504	167	5	static	static	ADJ
fis-1504	167	6	and	and	CCONJ
fis-1504	167	7	fatigue	fatigue	NOUN
fis-1504	167	8	properties	property	NOUN
fis-1504	167	9	of	of	ADP
fis-1504	167	10	the	the	DET
fis-1504	167	11	considered	consider	VERB
fis-1504	167	12	materials	material	NOUN
fis-1504	167	13	is	be	AUX
fis-1504	167	14	reported	report	VERB
fis-1504	167	15	in	in	ADP
fis-1504	167	16	tab	tab	NOUN
fis-1504	167	17	.	.	PUNCT
fis-1504	167	18	1	1	NUM
fis-1504	167	19	and	and	CCONJ
fis-1504	167	20	2	2	NUM
fis-1504	167	21	.	.	PUNCT
fis-1504	167	22	when	when	SCONJ
fis-1504	167	23	the	the	DET
fis-1504	167	24	torsional	torsional	ADJ
fis-1504	167	25	material	material	NOUN
fis-1504	167	26	constants	constant	NOUN
fis-1504	167	27	listed	list	VERB
fis-1504	167	28	in	in	ADP
fis-1504	167	29	the	the	DET
fis-1504	167	30	above	above	ADJ
fis-1504	167	31	tables	table	NOUN
fis-1504	167	32	were	be	AUX
fis-1504	167	33	not	not	PART
fis-1504	167	34	directly	directly	ADV
fis-1504	167	35	available	available	ADJ
fis-1504	167	36	in	in	ADP
fis-1504	167	37	the	the	DET
fis-1504	167	38	original	original	ADJ
fis-1504	167	39	sources	source	NOUN
fis-1504	167	40	,	,	PUNCT
fis-1504	167	41	they	they	PRON
fis-1504	167	42	were	be	AUX
fis-1504	167	43	calculated	calculate	VERB
fis-1504	167	44	as	as	SCONJ
fis-1504	167	45	follows	follow	VERB
fis-1504	167	46	[	[	X
fis-1504	167	47	23	23	NUM
fis-1504	167	48	]	]	SYM
fis-1504	167	49	:	:	PUNCT
fis-1504	167	50	2(1	2(1	NUM
fis-1504	167	51	)	)	PUNCT
fis-1504	168	1	e	e	X
fis-1504	168	2	g	g	NOUN
fis-1504	168	3			NOUN
fis-1504	168	4			NOUN
fis-1504	168	5			PUNCT
fis-1504	168	6	'	'	PUNCT
fis-1504	168	7	'	'	PUNCT
fis-1504	168	8	3f	3f	PROPN
fis-1504	168	9	f	f	PROPN
fis-1504	168	10			PROPN
fis-1504	168	11	'	'	PART
fis-1504	168	12	'	'	NUM
fis-1504	168	13	3	3	NUM
fis-1504	168	14	f	f	PROPN
fis-1504	168	15	f	f	PROPN
fis-1504	168	16			PROPN
fis-1504	168	17			NOUN
fis-1504	168	18			PROPN
fis-1504	168	19	0b	0b	PROPN
fis-1504	168	20	b	b	PROPN
fis-1504	168	21	0c	0c	PROPN
fis-1504	168	22	c	c	PROPN
fis-1504	168	23	figure	figure	NOUN
fis-1504	168	24	3	3	NUM
fis-1504	168	25	:	:	PUNCT
fis-1504	168	26	in	in	ADP
fis-1504	168	27	-	-	PUNCT
fis-1504	168	28	field	field	NOUN
fis-1504	168	29	use	use	NOUN
fis-1504	168	30	of	of	ADP
fis-1504	168	31	the	the	DET
fis-1504	168	32	mmccm	mmccm	NOUN
fis-1504	168	33	to	to	PART
fis-1504	168	34	estimate	estimate	VERB
fis-1504	168	35	fatigue	fatigue	NOUN
fis-1504	168	36	lifetime	lifetime	NOUN
fis-1504	168	37	under	under	ADP
fis-1504	168	38	va	va	PROPN
fis-1504	168	39	multiaxial	multiaxial	ADJ
fis-1504	168	40	fatigue	fatigue	NOUN
fis-1504	168	41	loading	loading	NOUN
fis-1504	168	42	.	.	PUNCT
fis-1504	169	1	the	the	DET
fis-1504	169	2	investigated	investigate	VERB
fis-1504	169	3	materials	material	NOUN
fis-1504	169	4	’	'	PUNCT
fis-1504	169	5	non	non	ADJ
fis-1504	169	6	-	-	ADJ
fis-1504	169	7	proportional	proportional	ADJ
fis-1504	169	8	hardening	hardening	NOUN
fis-1504	169	9	was	be	AUX
fis-1504	169	10	taken	take	VERB
fis-1504	169	11	into	into	ADP
fis-1504	169	12	account	account	NOUN
fis-1504	169	13	by	by	ADP
fis-1504	169	14	making	make	VERB
fis-1504	169	15	the	the	DET
fis-1504	169	16	following	follow	VERB
fis-1504	169	17	assumption	assumption	NOUN
fis-1504	169	18	[	[	X
fis-1504	169	19	23	23	NUM
fis-1504	169	20	]	]	X
fis-1504	169	21	:	:	PUNCT
fis-1504	169	22	i	i	PROPN
fis-1504	169	23	y.	y.	PROPN
fis-1504	169	24	wang	wang	PROPN
fis-1504	169	25	et	et	PROPN
fis-1504	169	26	alii	alii	PROPN
fis-1504	169	27	,	,	PUNCT
fis-1504	169	28	frattura	frattura	PROPN
fis-1504	169	29	ed	ed	PROPN
fis-1504	169	30	integrità	integrità	PROPN
fis-1504	169	31	strutturale	strutturale	PROPN
fis-1504	169	32	,	,	PUNCT
fis-1504	169	33	33	33	NUM
fis-1504	169	34	(	(	PUNCT
fis-1504	169	35	2015	2015	NUM
fis-1504	169	36	)	)	PUNCT
fis-1504	169	37	345	345	NUM
fis-1504	169	38	-	-	SYM
fis-1504	169	39	356	356	NUM
fis-1504	169	40	;	;	PUNCT
fis-1504	169	41	doi	doi	NOUN
fis-1504	169	42	:	:	PUNCT
fis-1504	170	1	10.3221	10.3221	NUM
fis-1504	170	2	/	/	SYM
fis-1504	170	3	igf	igf	PROPN
fis-1504	170	4	-	-	ADJ
fis-1504	170	5	esis.33.38	esis.33.38	ADJ
fis-1504	170	6	353	353	NUM
fis-1504	170	7	'	'	PUNCT
fis-1504	170	8	'	'	PUNCT
fis-1504	170	9	np	np	INTJ
fis-1504	170	10	1.25k	1.25k	NUM
fis-1504	170	11	k	k	ADJ
fis-1504	170	12			PROPN
fis-1504	170	13	'	'	PUNCT
fis-1504	170	14	'	'	PUNCT
fis-1504	170	15	npn	npn	NOUN
fis-1504	170	16	n	n	NOUN
fis-1504	170	17	both	both	CCONJ
fis-1504	170	18	the	the	DET
fis-1504	170	19	strain	strain	NOUN
fis-1504	170	20	loading	loading	NOUN
fis-1504	170	21	history	history	NOUN
fis-1504	170	22	and	and	CCONJ
fis-1504	170	23	the	the	DET
fis-1504	170	24	stress	stress	NOUN
fis-1504	170	25	loading	loading	NOUN
fis-1504	170	26	history	history	NOUN
fis-1504	170	27	at	at	ADP
fis-1504	170	28	the	the	DET
fis-1504	170	29	assumed	assume	VERB
fis-1504	170	30	crack	crack	NOUN
fis-1504	170	31	initiation	initiation	NOUN
fis-1504	170	32	site	site	NOUN
fis-1504	170	33	are	be	AUX
fis-1504	170	34	needed	need	VERB
fis-1504	170	35	.	.	PUNCT
fis-1504	171	1	if	if	SCONJ
fis-1504	171	2	the	the	DET
fis-1504	171	3	stress	stress	NOUN
fis-1504	171	4	loading	loading	NOUN
fis-1504	171	5	histories	history	NOUN
fis-1504	171	6	were	be	AUX
fis-1504	171	7	not	not	PART
fis-1504	171	8	given	give	VERB
fis-1504	171	9	in	in	ADP
fis-1504	171	10	the	the	DET
fis-1504	171	11	original	original	ADJ
fis-1504	171	12	sources	source	NOUN
fis-1504	171	13	,	,	PUNCT
fis-1504	171	14	they	they	PRON
fis-1504	171	15	were	be	AUX
fis-1504	171	16	calculated	calculate	VERB
fis-1504	171	17	by	by	ADP
fis-1504	171	18	using	use	VERB
fis-1504	171	19	the	the	DET
fis-1504	171	20	model	model	NOUN
fis-1504	171	21	proposed	propose	VERB
fis-1504	171	22	by	by	ADP
fis-1504	171	23	jiang	jiang	PROPN
fis-1504	171	24	and	and	CCONJ
fis-1504	171	25	sehitoglu	sehitoglu	PROPN
fis-1504	172	1	[	[	X
fis-1504	172	2	24	24	NUM
fis-1504	172	3	]	]	PUNCT
fis-1504	172	4	.	.	PUNCT
fis-1504	173	1	in	in	ADP
fis-1504	173	2	fig	fig	NOUN
fis-1504	173	3	.	.	PUNCT
fis-1504	174	1	4	4	NUM
fis-1504	174	2	,	,	PUNCT
fis-1504	174	3	the	the	DET
fis-1504	174	4	predicted	predict	VERB
fis-1504	174	5	fatigue	fatigue	NOUN
fis-1504	174	6	lives	life	NOUN
fis-1504	174	7	are	be	AUX
fis-1504	174	8	compared	compare	VERB
fis-1504	174	9	with	with	ADP
fis-1504	174	10	the	the	DET
fis-1504	174	11	experimental	experimental	ADJ
fis-1504	174	12	ones	one	NOUN
fis-1504	174	13	for	for	ADP
fis-1504	174	14	s45c	s45c	NOUN
fis-1504	174	15	steel	steel	NOUN
fis-1504	174	16	and	and	CCONJ
fis-1504	174	17	sncm630	sncm630	PROPN
fis-1504	174	18	steel	steel	NOUN
fis-1504	174	19	under	under	ADP
fis-1504	174	20	va	va	PROPN
fis-1504	174	21	multiaxial	multiaxial	ADJ
fis-1504	174	22	fatigue	fatigue	NOUN
fis-1504	174	23	loading	loading	NOUN
fis-1504	174	24	.	.	PUNCT
fis-1504	175	1	fig	fig	NOUN
fis-1504	175	2	.	.	PUNCT
fis-1504	176	1	4	4	NUM
fis-1504	176	2	also	also	ADV
fis-1504	176	3	shows	show	VERB
fis-1504	176	4	the	the	DET
fis-1504	176	5	loading	loading	NOUN
fis-1504	176	6	paths	path	NOUN
fis-1504	176	7	applied	apply	VERB
fis-1504	176	8	to	to	ADP
fis-1504	176	9	specimens	specimen	NOUN
fis-1504	176	10	made	make	VERB
fis-1504	176	11	of	of	ADP
fis-1504	176	12	s45c	s45c	NOUN
fis-1504	176	13	steel	steel	NOUN
fis-1504	176	14	and	and	CCONJ
fis-1504	176	15	sncm630	sncm630	PROPN
fis-1504	176	16	steel	steel	NOUN
fis-1504	176	17	.	.	PUNCT
fis-1504	177	1	as	as	SCONJ
fis-1504	177	2	it	it	PRON
fis-1504	177	3	can	can	AUX
fis-1504	177	4	be	be	AUX
fis-1504	177	5	seen	see	VERB
fis-1504	177	6	from	from	ADP
fis-1504	177	7	this	this	DET
fis-1504	177	8	figure	figure	NOUN
fis-1504	177	9	,	,	PUNCT
fis-1504	177	10	81	81	NUM
fis-1504	177	11	%	%	NOUN
fis-1504	177	12	of	of	ADP
fis-1504	177	13	the	the	DET
fis-1504	177	14	data	datum	NOUN
fis-1504	177	15	are	be	AUX
fis-1504	177	16	within	within	ADP
fis-1504	177	17	a	a	DET
fis-1504	177	18	scatter	scatter	NOUN
fis-1504	177	19	bands	band	NOUN
fis-1504	177	20	of	of	ADP
fis-1504	177	21	3	3	NUM
fis-1504	177	22	.	.	PUNCT
fis-1504	178	1	data	datum	NOUN
fis-1504	178	2	points	point	NOUN
fis-1504	178	3	under	under	ADP
fis-1504	178	4	loading	loading	NOUN
fis-1504	178	5	blocks	block	NOUN
fis-1504	178	6	with	with	ADP
fis-1504	178	7	a	a	DET
fis-1504	178	8	considerable	considerable	ADJ
fis-1504	178	9	portion	portion	NOUN
fis-1504	178	10	of	of	ADP
fis-1504	178	11	axial	axial	ADJ
fis-1504	178	12	loading	loading	NOUN
fis-1504	178	13	such	such	ADJ
fis-1504	178	14	as	as	ADP
fis-1504	178	15	at	at	ADP
fis-1504	178	16	,	,	PUNCT
fis-1504	178	17	ta	ta	PROPN
fis-1504	178	18	and	and	CCONJ
fis-1504	178	19	av	av	PROPN
fis-1504	178	20	are	be	AUX
fis-1504	178	21	outside	outside	ADP
fis-1504	178	22	of	of	ADP
fis-1504	178	23	the	the	DET
fis-1504	178	24	target	target	NOUN
fis-1504	178	25	scatter	scatter	NOUN
fis-1504	178	26	band	band	NOUN
fis-1504	178	27	,	,	PUNCT
fis-1504	178	28	being	be	AUX
fis-1504	178	29	on	on	ADP
fis-1504	178	30	the	the	DET
fis-1504	178	31	conservative	conservative	ADJ
fis-1504	178	32	side	side	NOUN
fis-1504	178	33	.	.	PUNCT
fis-1504	179	1	material	material	PROPN
fis-1504	179	2	ref	ref	NOUN
fis-1504	179	3	.	.	PUNCT
fis-1504	180	1	e	e	X
fis-1504	180	2	(	(	PUNCT
fis-1504	180	3	mpa	mpa	PROPN
fis-1504	180	4	)	)	PUNCT
fis-1504	180	5	g	g	PROPN
fis-1504	180	6	(	(	PUNCT
fis-1504	180	7	mpa	mpa	PROPN
fis-1504	180	8	)	)	PUNCT
fis-1504	180	9	ν	ν	X
fis-1504	180	10	s45c	s45c	NOUN
fis-1504	181	1	[	[	X
fis-1504	181	2	20	20	NUM
fis-1504	181	3	]	]	SYM
fis-1504	181	4	186,000	186,000	NUM
fis-1504	181	5	70,600	70,600	NUM
fis-1504	181	6	0.28	0.28	NUM
fis-1504	181	7	sncm630	sncm630	PROPN
fis-1504	181	8	[	[	X
fis-1504	181	9	21	21	NUM
fis-1504	181	10	]	]	SYM
fis-1504	181	11	196,000	196,000	NUM
fis-1504	181	12	77,000	77,000	NUM
fis-1504	181	13	0.273	0.273	NUM
fis-1504	181	14	1050	1050	NUM
fis-1504	181	15	qt	qt	NOUN
fis-1504	181	16	steel	steel	NOUN
fis-1504	181	17	[	[	X
fis-1504	181	18	12	12	NUM
fis-1504	181	19	]	]	SYM
fis-1504	181	20	203,000	203,000	NUM
fis-1504	181	21	81,000	81,000	NUM
fis-1504	181	22	0.27	0.27	NUM
fis-1504	181	23	304l	304l	NUM
fis-1504	181	24	steel	steel	NOUN
fis-1504	181	25	[	[	X
fis-1504	181	26	12	12	NUM
fis-1504	181	27	]	]	SYM
fis-1504	181	28	195,000	195,000	NUM
fis-1504	181	29	77,000	77,000	NUM
fis-1504	181	30	0.27	0.27	NUM
fis-1504	181	31	pure	pure	ADJ
fis-1504	181	32	titanium	titanium	NOUN
fis-1504	181	33	[	[	X
fis-1504	181	34	22	22	NUM
fis-1504	181	35	]	]	SYM
fis-1504	181	36	112,000	112,000	NUM
fis-1504	181	37	40,000	40,000	NUM
fis-1504	181	38	0.4	0.4	NUM
fis-1504	181	39	titanium	titanium	NOUN
fis-1504	181	40	alloy	alloy	NOUN
fis-1504	181	41	bt9	bt9	NOUN
fis-1504	181	42	[	[	X
fis-1504	181	43	22	22	NUM
fis-1504	181	44	]	]	SYM
fis-1504	181	45	118,000	118,000	NUM
fis-1504	181	46	43,000	43,000	NUM
fis-1504	181	47	0.37	0.37	NUM
fis-1504	181	48	table	table	NOUN
fis-1504	181	49	1	1	NUM
fis-1504	181	50	:	:	PUNCT
fis-1504	181	51	elastic	elastic	ADJ
fis-1504	181	52	static	static	ADJ
fis-1504	181	53	constants	constant	NOUN
fis-1504	181	54	for	for	ADP
fis-1504	181	55	the	the	DET
fis-1504	181	56	considered	consider	VERB
fis-1504	181	57	materials	material	NOUN
fis-1504	181	58	.	.	PUNCT
fis-1504	182	1	material	material	PROPN
fis-1504	182	2	ref	ref	NOUN
fis-1504	182	3	.	.	PUNCT
fis-1504	183	1	’f	’f	PROPN
fis-1504	183	2	’f	’f	PROPN
fis-1504	183	3	(	(	PUNCT
fis-1504	183	4	mpa	mpa	PROPN
fis-1504	183	5	)	)	PUNCT
fis-1504	183	6	b	b	PROPN
fis-1504	184	1	c	c	PROPN
fis-1504	184	2	’f	’f	PROPN
fis-1504	184	3	’f	’f	INTJ
fis-1504	184	4	(	(	PUNCT
fis-1504	184	5	mpa	mpa	NOUN
fis-1504	184	6	)	)	PUNCT
fis-1504	184	7	b0	b0	PROPN
fis-1504	184	8	c0	c0	PROPN
fis-1504	184	9	k	k	PROPN
fis-1504	184	10	’	'	PUNCT
fis-1504	184	11	(	(	PUNCT
fis-1504	184	12	mpa	mpa	PROPN
fis-1504	184	13	)	)	PUNCT
fis-1504	184	14	n	n	CCONJ
fis-1504	184	15	’	'	PUNCT
fis-1504	184	16	k’np	k’np	PROPN
fis-1504	184	17	(	(	PUNCT
fis-1504	184	18	mpa	mpa	PROPN
fis-1504	184	19	)	)	PUNCT
fis-1504	184	20	n’np	n’np	NOUN
fis-1504	184	21	s45c	s45c	NOUN
fis-1504	185	1	[	[	X
fis-1504	185	2	20	20	NUM
fis-1504	185	3	]	]	SYM
fis-1504	185	4	0.359	0.359	NUM
fis-1504	185	5	923	923	NUM
fis-1504	185	6	0.099	0.099	NUM
fis-1504	185	7	0.519	0.519	NUM
fis-1504	185	8	0.198	0.198	NUM
fis-1504	185	9	685	685	NUM
fis-1504	185	10	-0.12	-0.12	NUM
fis-1504	185	11	-0.36	-0.36	NUM
fis-1504	185	12	1215	1215	NUM
fis-1504	185	13	0.217	0.217	NUM
fis-1504	185	14	1519	1519	NUM
fis-1504	185	15	0.217	0.217	NUM
fis-1504	185	16	sncm630	sncm630	PROPN
fis-1504	186	1	[	[	X
fis-1504	186	2	21	21	NUM
fis-1504	186	3	]	]	SYM
fis-1504	186	4	1.54	1.54	NUM
fis-1504	186	5	1272	1272	NUM
fis-1504	186	6	0.073	0.073	NUM
fis-1504	186	7	0.823	0.823	NUM
fis-1504	186	8	1.51	1.51	NUM
fis-1504	186	9	858	858	NUM
fis-1504	186	10	-0.061	-0.061	PUNCT
fis-1504	186	11	0.706	0.706	NUM
fis-1504	186	12	1056	1056	NUM
fis-1504	186	13	0.054	0.054	NUM
fis-1504	186	14	1320	1320	NUM
fis-1504	186	15	0.054	0.054	NUM
fis-1504	186	16	1050	1050	NUM
fis-1504	186	17	qt	qt	PROPN
fis-1504	186	18	st	st	PROPN
fis-1504	186	19	.	.	PUNCT
fis-1504	187	1	[	[	X
fis-1504	187	2	12	12	NUM
fis-1504	187	3	]	]	SYM
fis-1504	187	4	2.01	2.01	NUM
fis-1504	187	5	1346	1346	NUM
fis-1504	187	6	0.062	0.062	NUM
fis-1504	187	7	0.725	0.725	NUM
fis-1504	187	8	3.48	3.48	NUM
fis-1504	187	9	777	777	NUM
fis-1504	187	10	-0.062	-0.062	NUM
fis-1504	188	1	0.725	0.725	NUM
fis-1504	188	2	1461	1461	NUM
fis-1504	188	3	0.06	0.06	NUM
fis-1504	188	4	1420	1420	NUM
fis-1504	188	5	0.113	0.113	NUM
fis-1504	188	6	304l	304l	NUM
fis-1504	188	7	st	st	PROPN
fis-1504	188	8	.	.	PUNCT
fis-1504	189	1	[	[	X
fis-1504	189	2	12	12	NUM
fis-1504	189	3	]	]	PUNCT
fis-1504	189	4	0.122	0.122	NUM
fis-1504	189	5	1287	1287	NUM
fis-1504	189	6	0.145	0.145	NUM
fis-1504	189	7	0.394	0.394	NUM
fis-1504	189	8	0.211	0.211	NUM
fis-1504	189	9	743	743	NUM
fis-1504	189	10	-0.145	-0.145	NUM
fis-1504	189	11	0.394	0.394	NUM
fis-1504	189	12	680	680	NUM
fis-1504	189	13	0.214	0.214	NUM
fis-1504	189	14	5056	5056	NUM
fis-1504	189	15	0.373	0.373	NUM
fis-1504	189	16	pure	pure	ADJ
fis-1504	189	17	ti	ti	NOUN
fis-1504	190	1	[	[	X
fis-1504	190	2	22	22	NUM
fis-1504	190	3	]	]	PUNCT
fis-1504	190	4	0.548	0.548	NUM
fis-1504	190	5	647	647	NUM
fis-1504	190	6	0.033	0.033	NUM
fis-1504	190	7	0.646	0.646	NUM
fis-1504	190	8	0.417	0.417	NUM
fis-1504	190	9	485	485	NUM
fis-1504	190	10	-0.069	-0.069	NOUN
fis-1504	190	11	0.523	0.523	NUM
fis-1504	190	12	bt9	bt9	NOUN
fis-1504	191	1	[	[	X
fis-1504	191	2	22	22	NUM
fis-1504	191	3	]	]	PUNCT
fis-1504	191	4	0.278	0.278	NUM
fis-1504	191	5	1180	1180	NUM
fis-1504	191	6	0.025	0.025	NUM
fis-1504	191	7	0.665	0.665	NUM
fis-1504	191	8	0.18	0.18	NUM
fis-1504	191	9	881	881	NUM
fis-1504	191	10	0.0082	0.0082	NUM
fis-1504	191	11	-0.47	-0.47	DET
fis-1504	191	12	table	table	NOUN
fis-1504	191	13	2	2	NUM
fis-1504	191	14	:	:	PUNCT
fis-1504	191	15	fatigue	fatigue	NOUN
fis-1504	191	16	constants	constant	NOUN
fis-1504	191	17	for	for	ADP
fis-1504	191	18	the	the	DET
fis-1504	191	19	considered	consider	VERB
fis-1504	191	20	materials	material	NOUN
fis-1504	191	21	.	.	PUNCT
fis-1504	192	1	figure	figure	VERB
fis-1504	192	2	4	4	NUM
fis-1504	192	3	:	:	PUNCT
fis-1504	192	4	comparison	comparison	NOUN
fis-1504	192	5	of	of	ADP
fis-1504	192	6	observed	observed	ADJ
fis-1504	192	7	and	and	CCONJ
fis-1504	192	8	predicted	predict	VERB
fis-1504	192	9	fatigue	fatigue	NOUN
fis-1504	192	10	lives	live	VERB
fis-1504	192	11	by	by	ADP
fis-1504	192	12	the	the	DET
fis-1504	192	13	mmccm	mmccm	NOUN
fis-1504	192	14	for	for	ADP
fis-1504	192	15	s45c	s45c	NOUN
fis-1504	192	16	and	and	CCONJ
fis-1504	192	17	sncm630	sncm630	PROPN
fis-1504	192	18	.	.	PUNCT
fis-1504	193	1	y.	y.	PROPN
fis-1504	193	2	wang	wang	PROPN
fis-1504	193	3	et	et	PROPN
fis-1504	193	4	alii	alii	PROPN
fis-1504	193	5	,	,	PUNCT
fis-1504	193	6	frattura	frattura	PROPN
fis-1504	193	7	ed	ed	PROPN
fis-1504	193	8	integrità	integrità	PROPN
fis-1504	193	9	strutturale	strutturale	PROPN
fis-1504	193	10	,	,	PUNCT
fis-1504	193	11	33	33	NUM
fis-1504	193	12	(	(	PUNCT
fis-1504	193	13	2015	2015	NUM
fis-1504	193	14	)	)	PUNCT
fis-1504	193	15	345	345	NUM
fis-1504	193	16	-	-	SYM
fis-1504	193	17	356	356	NUM
fis-1504	193	18	;	;	PUNCT
fis-1504	193	19	doi	doi	NOUN
fis-1504	193	20	:	:	PUNCT
fis-1504	193	21	10.3221	10.3221	NUM
fis-1504	193	22	/	/	SYM
fis-1504	193	23	igf	igf	PROPN
fis-1504	193	24	-	-	ADJ
fis-1504	193	25	esis.33.38	esis.33.38	ADJ
fis-1504	193	26	354	354	NUM
fis-1504	193	27	the	the	DET
fis-1504	193	28	predicted	predict	VERB
fis-1504	193	29	versus	versus	ADP
fis-1504	193	30	experimental	experimental	ADJ
fis-1504	193	31	fatigue	fatigue	NOUN
fis-1504	193	32	lifetime	lifetime	NOUN
fis-1504	193	33	diagram	diagram	NOUN
fis-1504	193	34	for	for	ADP
fis-1504	193	35	1050	1050	NUM
fis-1504	193	36	qt	qt	NOUN
fis-1504	193	37	steel	steel	NOUN
fis-1504	193	38	and	and	CCONJ
fis-1504	193	39	304l	304l	NUM
fis-1504	193	40	steel	steel	NOUN
fis-1504	193	41	under	under	ADP
fis-1504	193	42	discriminating	discriminate	VERB
fis-1504	193	43	axialtorsion	axialtorsion	NOUN
fis-1504	193	44	stain	stain	NOUN
fis-1504	193	45	paths	path	NOUN
fis-1504	193	46	with	with	ADP
fis-1504	193	47	random	random	ADJ
fis-1504	193	48	and	and	CCONJ
fis-1504	193	49	incremental	incremental	ADJ
fis-1504	193	50	changes	change	NOUN
fis-1504	193	51	in	in	ADP
fis-1504	193	52	straining	strain	VERB
fis-1504	193	53	direction	direction	NOUN
fis-1504	193	54	is	be	AUX
fis-1504	193	55	reported	report	VERB
fis-1504	193	56	in	in	ADP
fis-1504	193	57	fig	fig	NOUN
fis-1504	193	58	.	.	PUNCT
fis-1504	194	1	5	5	NUM
fis-1504	194	2	.	.	X
fis-1504	194	3	as	as	SCONJ
fis-1504	194	4	it	it	PRON
fis-1504	194	5	can	can	AUX
fis-1504	194	6	be	be	AUX
fis-1504	194	7	seen	see	VERB
fis-1504	194	8	from	from	ADP
fis-1504	194	9	fig	fig	NOUN
fis-1504	194	10	.	.	PUNCT
fis-1504	195	1	5	5	NUM
fis-1504	195	2	,	,	PUNCT
fis-1504	195	3	all	all	DET
fis-1504	195	4	the	the	DET
fis-1504	195	5	data	datum	NOUN
fis-1504	195	6	are	be	AUX
fis-1504	195	7	within	within	ADP
fis-1504	195	8	scatter	scatter	NOUN
fis-1504	195	9	bands	band	NOUN
fis-1504	195	10	of	of	ADP
fis-1504	195	11	3	3	NUM
fis-1504	195	12	from	from	ADP
fis-1504	195	13	predictions	prediction	NOUN
fis-1504	195	14	.	.	PUNCT
fis-1504	196	1	fig	fig	NOUN
fis-1504	196	2	.	.	PUNCT
fis-1504	197	1	6	6	NUM
fis-1504	197	2	shows	show	VERB
fis-1504	197	3	the	the	DET
fis-1504	197	4	predicted	predict	VERB
fis-1504	197	5	versus	versus	ADP
fis-1504	197	6	experimental	experimental	ADJ
fis-1504	197	7	fatigue	fatigue	NOUN
fis-1504	197	8	lifetime	lifetime	NOUN
fis-1504	197	9	diagram	diagram	NOUN
fis-1504	197	10	for	for	ADP
fis-1504	197	11	pure	pure	ADJ
fis-1504	197	12	titanium	titanium	NOUN
fis-1504	197	13	and	and	CCONJ
fis-1504	197	14	titanium	titanium	NOUN
fis-1504	197	15	alloy	alloy	NOUN
fis-1504	197	16	bt9	bt9	NOUN
fis-1504	197	17	under	under	ADP
fis-1504	197	18	step	step	NOUN
fis-1504	197	19	loading	loading	NOUN
fis-1504	197	20	and	and	CCONJ
fis-1504	197	21	block	block	NOUN
fis-1504	197	22	loading	loading	NOUN
fis-1504	197	23	composed	compose	VERB
fis-1504	197	24	of	of	ADP
fis-1504	197	25	different	different	ADJ
fis-1504	197	26	combinations	combination	NOUN
fis-1504	197	27	of	of	ADP
fis-1504	197	28	axial	axial	ADJ
fis-1504	197	29	,	,	PUNCT
fis-1504	197	30	torsion	torsion	NOUN
fis-1504	197	31	and	and	CCONJ
fis-1504	197	32	90	90	NUM
fis-1504	197	33	°	°	NOUN
fis-1504	197	34	out	out	ADP
fis-1504	197	35	-	-	PUNCT
fis-1504	197	36	of	of	ADP
fis-1504	197	37	-	-	PUNCT
fis-1504	197	38	phase	phase	NOUN
fis-1504	197	39	axial	axial	ADJ
fis-1504	197	40	-	-	PUNCT
fis-1504	197	41	torsion	torsion	NOUN
fis-1504	197	42	strain	strain	NOUN
fis-1504	197	43	paths	path	NOUN
fis-1504	197	44	.	.	PUNCT
fis-1504	198	1	as	as	SCONJ
fis-1504	198	2	it	it	PRON
fis-1504	198	3	can	can	AUX
fis-1504	198	4	be	be	AUX
fis-1504	198	5	seen	see	VERB
fis-1504	198	6	from	from	ADP
fis-1504	198	7	fig	fig	NOUN
fis-1504	198	8	.	.	PUNCT
fis-1504	199	1	6	6	NUM
fis-1504	199	2	,	,	PUNCT
fis-1504	199	3	90	90	NUM
fis-1504	199	4	%	%	NOUN
fis-1504	199	5	of	of	ADP
fis-1504	199	6	the	the	DET
fis-1504	199	7	data	datum	NOUN
fis-1504	199	8	are	be	AUX
fis-1504	199	9	within	within	ADP
fis-1504	199	10	a	a	DET
fis-1504	199	11	scatter	scatter	NOUN
fis-1504	199	12	band	band	NOUN
fis-1504	199	13	of	of	ADP
fis-1504	199	14	3	3	NUM
fis-1504	199	15	.	.	PUNCT
fis-1504	199	16	figure	figure	NOUN
fis-1504	199	17	5	5	NUM
fis-1504	199	18	:	:	PUNCT
fis-1504	199	19	comparison	comparison	NOUN
fis-1504	199	20	of	of	ADP
fis-1504	199	21	observed	observed	ADJ
fis-1504	199	22	and	and	CCONJ
fis-1504	199	23	predicted	predict	VERB
fis-1504	199	24	fatigue	fatigue	NOUN
fis-1504	199	25	lives	live	VERB
fis-1504	199	26	by	by	ADP
fis-1504	199	27	the	the	DET
fis-1504	199	28	mmccm	mmccm	NOUN
fis-1504	199	29	for	for	ADP
fis-1504	199	30	1045	1045	NUM
fis-1504	199	31	qt	qt	NOUN
fis-1504	199	32	steel	steel	NOUN
fis-1504	199	33	and	and	CCONJ
fis-1504	199	34	304l	304l	NUM
fis-1504	199	35	steel	steel	NOUN
fis-1504	199	36	.	.	PUNCT
fis-1504	200	1	figure	figure	VERB
fis-1504	200	2	6	6	NUM
fis-1504	200	3	:	:	PUNCT
fis-1504	200	4	comparison	comparison	NOUN
fis-1504	200	5	of	of	ADP
fis-1504	200	6	observed	observed	ADJ
fis-1504	200	7	and	and	CCONJ
fis-1504	200	8	predicted	predict	VERB
fis-1504	200	9	fatigue	fatigue	NOUN
fis-1504	200	10	lives	live	VERB
fis-1504	200	11	by	by	ADP
fis-1504	200	12	the	the	DET
fis-1504	200	13	mmccm	mmccm	NOUN
fis-1504	200	14	fo	fo	ADP
fis-1504	200	15	pure	pure	ADJ
fis-1504	200	16	titanium	titanium	NOUN
fis-1504	200	17	and	and	CCONJ
fis-1504	200	18	titanium	titanium	NOUN
fis-1504	200	19	alloy	alloy	NOUN
fis-1504	200	20	bt9	bt9	NOUN
fis-1504	200	21	.	.	PUNCT
fis-1504	201	1	conclusions	conclusion	NOUN
fis-1504	201	2	(	(	PUNCT
fis-1504	201	3	1	1	X
fis-1504	201	4	)	)	PUNCT
fis-1504	201	5	the	the	DET
fis-1504	201	6	mmccm	mmccm	NOUN
fis-1504	201	7	originally	originally	ADV
fis-1504	201	8	proposed	propose	VERB
fis-1504	201	9	by	by	ADP
fis-1504	201	10	susmel	susmel	PROPN
fis-1504	201	11	et	et	PROPN
fis-1504	201	12	al	al	PROPN
fis-1504	201	13	.	.	PUNCT
fis-1504	202	1	[	[	X
fis-1504	202	2	18	18	NUM
fis-1504	202	3	]	]	PUNCT
fis-1504	202	4	for	for	ADP
fis-1504	202	5	multiaxial	multiaxial	ADJ
fis-1504	202	6	constant	constant	ADJ
fis-1504	202	7	amplitude	amplitude	NOUN
fis-1504	202	8	loading	loading	NOUN
fis-1504	202	9	was	be	AUX
fis-1504	202	10	reformulated	reformulate	VERB
fis-1504	202	11	to	to	PART
fis-1504	202	12	estimate	estimate	VERB
fis-1504	202	13	fatigue	fatigue	NOUN
fis-1504	202	14	lifetime	lifetime	NOUN
fis-1504	202	15	of	of	ADP
fis-1504	202	16	components	component	NOUN
fis-1504	202	17	subjected	subject	VERB
fis-1504	202	18	to	to	ADP
fis-1504	202	19	va	va	NOUN
fis-1504	202	20	multiaxial	multiaxial	ADJ
fis-1504	202	21	fatigue	fatigue	NOUN
fis-1504	202	22	loading	loading	NOUN
fis-1504	202	23	.	.	PUNCT
fis-1504	203	1	satisfactory	satisfactory	ADJ
fis-1504	203	2	fatigue	fatigue	NOUN
fis-1504	203	3	life	life	NOUN
fis-1504	203	4	predictions	prediction	NOUN
fis-1504	203	5	were	be	AUX
fis-1504	203	6	obtained	obtain	VERB
fis-1504	203	7	by	by	ADP
fis-1504	203	8	using	use	VERB
fis-1504	203	9	the	the	DET
fis-1504	203	10	mmccm	mmccm	NOUN
fis-1504	203	11	,	,	PUNCT
fis-1504	203	12	when	when	SCONJ
fis-1504	203	13	coupled	couple	VERB
fis-1504	203	14	with	with	ADP
fis-1504	203	15	the	the	DET
fis-1504	203	16	rain	rain	NOUN
fis-1504	203	17	-	-	PUNCT
fis-1504	203	18	flow	flow	NOUN
fis-1504	203	19	cycle	cycle	NOUN
fis-1504	203	20	counting	counting	NOUN
fis-1504	203	21	method	method	NOUN
fis-1504	203	22	and	and	CCONJ
fis-1504	203	23	palmgren	palmgren	NOUN
fis-1504	203	24	-	-	PUNCT
fis-1504	203	25	miner	miner	NOUN
fis-1504	203	26	y.	y.	PROPN
fis-1504	203	27	wang	wang	PROPN
fis-1504	203	28	et	et	PROPN
fis-1504	203	29	alii	alii	PROPN
fis-1504	203	30	,	,	PUNCT
fis-1504	203	31	frattura	frattura	PROPN
fis-1504	203	32	ed	ed	PROPN
fis-1504	203	33	integrità	integrità	PROPN
fis-1504	203	34	strutturale	strutturale	PROPN
fis-1504	203	35	,	,	PUNCT
fis-1504	203	36	33	33	NUM
fis-1504	203	37	(	(	PUNCT
fis-1504	203	38	2015	2015	NUM
fis-1504	203	39	)	)	PUNCT
fis-1504	203	40	345	345	NUM
fis-1504	203	41	-	-	SYM
fis-1504	203	42	356	356	NUM
fis-1504	203	43	;	;	PUNCT
fis-1504	203	44	doi	doi	NOUN
fis-1504	203	45	:	:	PUNCT
fis-1504	203	46	10.3221	10.3221	NUM
fis-1504	203	47	/	/	SYM
fis-1504	203	48	igf	igf	PROPN
fis-1504	203	49	-	-	ADJ
fis-1504	203	50	esis.33.38	esis.33.38	ADJ
fis-1504	203	51	355	355	NUM
fis-1504	203	52	linear	linear	ADJ
fis-1504	203	53	cumulative	cumulative	ADJ
fis-1504	203	54	damage	damage	NOUN
fis-1504	203	55	rule	rule	NOUN
fis-1504	203	56	for	for	ADP
fis-1504	203	57	different	different	ADJ
fis-1504	203	58	materials	material	NOUN
fis-1504	203	59	tested	test	VERB
fis-1504	203	60	under	under	ADP
fis-1504	203	61	va	va	NOUN
fis-1504	203	62	multiaxial	multiaxial	ADJ
fis-1504	203	63	fatigue	fatigue	NOUN
fis-1504	203	64	loading	loading	NOUN
fis-1504	203	65	.	.	PUNCT
fis-1504	204	1	the	the	DET
fis-1504	204	2	critical	critical	ADJ
fis-1504	204	3	plane	plane	NOUN
fis-1504	204	4	was	be	AUX
fis-1504	204	5	determined	determine	VERB
fis-1504	204	6	by	by	ADP
fis-1504	204	7	using	use	VERB
fis-1504	204	8	the	the	DET
fis-1504	204	9	-mvm	-mvm	PROPN
fis-1504	204	10	.	.	PUNCT
fis-1504	205	1	(	(	PUNCT
fis-1504	205	2	2	2	X
fis-1504	205	3	)	)	PUNCT
fis-1504	205	4	the	the	DET
fis-1504	205	5	mvm	mvm	NOUN
fis-1504	205	6	is	be	AUX
fis-1504	205	7	an	an	DET
fis-1504	205	8	efficient	efficient	ADJ
fis-1504	205	9	and	and	CCONJ
fis-1504	205	10	valid	valid	ADJ
fis-1504	205	11	method	method	NOUN
fis-1504	205	12	to	to	PART
fis-1504	205	13	determine	determine	VERB
fis-1504	205	14	the	the	DET
fis-1504	205	15	orientation	orientation	NOUN
fis-1504	205	16	of	of	ADP
fis-1504	205	17	the	the	DET
fis-1504	205	18	critical	critical	ADJ
fis-1504	205	19	plane	plane	NOUN
fis-1504	205	20	when	when	SCONJ
fis-1504	205	21	it	it	PRON
fis-1504	205	22	is	be	AUX
fis-1504	205	23	used	use	VERB
fis-1504	205	24	to	to	PART
fis-1504	205	25	evaluate	evaluate	VERB
fis-1504	205	26	fatigue	fatigue	NOUN
fis-1504	205	27	damage	damage	NOUN
fis-1504	205	28	under	under	ADP
fis-1504	205	29	complex	complex	ADJ
fis-1504	205	30	variable	variable	ADJ
fis-1504	205	31	amplitude	amplitude	NOUN
fis-1504	205	32	multiaxial	multiaxial	ADJ
fis-1504	205	33	fatigue	fatigue	NOUN
fis-1504	205	34	loading	loading	NOUN
fis-1504	205	35	.	.	PUNCT
fis-1504	206	1	(	(	PUNCT
fis-1504	206	2	3	3	X
fis-1504	206	3	)	)	PUNCT
fis-1504	206	4	since	since	SCONJ
fis-1504	206	5	the	the	DET
fis-1504	206	6	controlling	control	VERB
fis-1504	206	7	parameter	parameter	NOUN
fis-1504	206	8	of	of	ADP
fis-1504	206	9	the	the	DET
fis-1504	206	10	mmccm	mmccm	NOUN
fis-1504	206	11	is	be	AUX
fis-1504	206	12	just	just	ADV
fis-1504	206	13	the	the	DET
fis-1504	206	14	shear	shear	NOUN
fis-1504	206	15	strain	strain	NOUN
fis-1504	206	16	resolved	resolve	VERB
fis-1504	206	17	along	along	ADP
fis-1504	206	18	the	the	DET
fis-1504	206	19	direction	direction	NOUN
fis-1504	206	20	of	of	ADP
fis-1504	206	21	maximum	maximum	ADJ
fis-1504	206	22	variance	variance	NOUN
fis-1504	206	23	of	of	ADP
fis-1504	206	24	the	the	DET
fis-1504	206	25	resolved	resolve	VERB
fis-1504	206	26	shear	shear	NOUN
fis-1504	206	27	strain	strain	NOUN
fis-1504	206	28	,	,	PUNCT
fis-1504	206	29	when	when	SCONJ
fis-1504	206	30	the	the	DET
fis-1504	206	31	mmccm	mmccm	NOUN
fis-1504	206	32	is	be	AUX
fis-1504	206	33	used	use	VERB
fis-1504	206	34	to	to	PART
fis-1504	206	35	estimate	estimate	VERB
fis-1504	206	36	fatigue	fatigue	NOUN
fis-1504	206	37	damage	damage	NOUN
fis-1504	206	38	under	under	ADP
fis-1504	206	39	variable	variable	ADJ
fis-1504	206	40	amplitude	amplitude	NOUN
fis-1504	206	41	multiaxial	multiaxial	ADJ
fis-1504	206	42	fatigue	fatigue	NOUN
fis-1504	206	43	loading	loading	NOUN
fis-1504	206	44	,	,	PUNCT
fis-1504	206	45	cycles	cycle	NOUN
fis-1504	206	46	can	can	AUX
fis-1504	206	47	directly	directly	ADV
fis-1504	206	48	be	be	AUX
fis-1504	206	49	counted	count	VERB
fis-1504	206	50	by	by	ADP
fis-1504	206	51	using	use	VERB
fis-1504	206	52	rainflow	rainflow	ADJ
fis-1504	206	53	method	method	NOUN
fis-1504	206	54	.	.	PUNCT
fis-1504	207	1	acknowledgements	acknowledgement	NOUN
fis-1504	207	2	his	his	PRON
fis-1504	207	3	work	work	NOUN
fis-1504	207	4	is	be	AUX
fis-1504	207	5	partly	partly	ADV
fis-1504	207	6	supported	support	VERB
fis-1504	207	7	by	by	ADP
fis-1504	207	8	jiangsu	jiangsu	PROPN
fis-1504	207	9	oversea	oversea	PROPN
fis-1504	207	10	research	research	PROPN
fis-1504	207	11	&	&	CCONJ
fis-1504	207	12	training	training	NOUN
fis-1504	207	13	program	program	NOUN
fis-1504	207	14	for	for	ADP
fis-1504	207	15	university	university	NOUN
fis-1504	207	16	prominent	prominent	ADJ
fis-1504	207	17	young	young	PROPN
fis-1504	207	18	&	&	CCONJ
fis-1504	207	19	middle	middle	ADJ
fis-1504	207	20	-	-	PUNCT
fis-1504	207	21	aged	aged	ADJ
fis-1504	207	22	teachers	teacher	NOUN
fis-1504	207	23	and	and	CCONJ
fis-1504	207	24	aviation	aviation	NOUN
fis-1504	207	25	science	science	NOUN
fis-1504	207	26	funds	fund	NOUN
fis-1504	207	27	of	of	ADP
fis-1504	207	28	china	china	PROPN
fis-1504	207	29	(	(	PUNCT
fis-1504	207	30	no	no	INTJ
fis-1504	207	31	.	.	PUNCT
fis-1504	208	1	2013za52008	2013za52008	NUM
fis-1504	208	2	)	)	PUNCT
fis-1504	208	3	.	.	PUNCT
fis-1504	209	1	references	reference	NOUN
fis-1504	209	2	[	[	X
fis-1504	209	3	1	1	NUM
fis-1504	209	4	]	]	X
fis-1504	209	5	findley	findley	PROPN
fis-1504	209	6	,	,	PUNCT
fis-1504	209	7	w.n	w.n	PROPN
fis-1504	209	8	.	.	PROPN
fis-1504	209	9	,	,	PUNCT
fis-1504	209	10	modified	modify	VERB
fis-1504	209	11	theory	theory	NOUN
fis-1504	209	12	of	of	ADP
fis-1504	209	13	fatigue	fatigue	NOUN
fis-1504	209	14	failure	failure	NOUN
fis-1504	209	15	under	under	ADP
fis-1504	209	16	combined	combined	ADJ
fis-1504	209	17	stress	stress	NOUN
fis-1504	209	18	,	,	PUNCT
fis-1504	209	19	in	in	ADP
fis-1504	209	20	:	:	PUNCT
fis-1504	209	21	proc	proc	NOUN
fis-1504	209	22	of	of	ADP
fis-1504	209	23	the	the	DET
fis-1504	209	24	society	society	NOUN
fis-1504	209	25	of	of	ADP
fis-1504	209	26	experimental	experimental	ADJ
fis-1504	209	27	stress	stress	NOUN
fis-1504	209	28	analysis	analysis	NOUN
fis-1504	209	29	,	,	PUNCT
fis-1504	209	30	14	14	NUM
fis-1504	209	31	(	(	PUNCT
fis-1504	209	32	1956	1956	NUM
fis-1504	209	33	)	)	PUNCT
fis-1504	209	34	35	35	NUM
fis-1504	209	35	-	-	SYM
fis-1504	209	36	46	46	NUM
fis-1504	209	37	.	.	PUNCT
fis-1504	210	1	[	[	X
fis-1504	210	2	2	2	NUM
fis-1504	210	3	]	]	X
fis-1504	210	4	brown	brown	ADJ
fis-1504	210	5	,	,	PUNCT
fis-1504	210	6	m.w	m.w	PROPN
fis-1504	210	7	.	.	PROPN
fis-1504	210	8	,	,	PUNCT
fis-1504	210	9	miller	miller	PROPN
fis-1504	210	10	,	,	PUNCT
fis-1504	210	11	k.j	k.j	PROPN
fis-1504	210	12	.	.	PROPN
fis-1504	210	13	,	,	PUNCT
fis-1504	210	14	a	a	DET
fis-1504	210	15	theory	theory	NOUN
fis-1504	210	16	for	for	ADP
fis-1504	210	17	fatigue	fatigue	NOUN
fis-1504	210	18	under	under	ADP
fis-1504	210	19	multiaxial	multiaxial	ADJ
fis-1504	210	20	stress	stress	NOUN
fis-1504	210	21	-	-	PUNCT
fis-1504	210	22	strain	strain	NOUN
fis-1504	210	23	conditions	condition	NOUN
fis-1504	210	24	,	,	PUNCT
fis-1504	210	25	in	in	ADP
fis-1504	210	26	:	:	PUNCT
fis-1504	210	27	proc	proc	NOUN
fis-1504	210	28	institution	institution	NOUN
fis-1504	210	29	of	of	ADP
fis-1504	210	30	mechanical	mechanical	ADJ
fis-1504	210	31	engineering	engineering	NOUN
fis-1504	210	32	,	,	PUNCT
fis-1504	210	33	187	187	NUM
fis-1504	210	34	(	(	PUNCT
fis-1504	210	35	1973	1973	NUM
fis-1504	210	36	)	)	PUNCT
fis-1504	210	37	745	745	NUM
fis-1504	210	38	-	-	SYM
fis-1504	210	39	56	56	NUM
fis-1504	210	40	.	.	PUNCT
fis-1504	211	1	[	[	X
fis-1504	211	2	3	3	NUM
fis-1504	211	3	]	]	X
fis-1504	211	4	wang	wang	PROPN
fis-1504	211	5	,	,	PUNCT
fis-1504	211	6	c.h	c.h	PROPN
fis-1504	211	7	.	.	PROPN
fis-1504	211	8	,	,	PUNCT
fis-1504	211	9	brown	brown	PROPN
fis-1504	211	10	,	,	PUNCT
fis-1504	211	11	m.w	m.w	PROPN
fis-1504	211	12	.	.	PROPN
fis-1504	211	13	,	,	PUNCT
fis-1504	211	14	a	a	DET
fis-1504	211	15	path	path	NOUN
fis-1504	211	16	-	-	PUNCT
fis-1504	211	17	independant	independant	ADJ
fis-1504	211	18	parameter	parameter	NOUN
fis-1504	211	19	for	for	ADP
fis-1504	211	20	fatigue	fatigue	NOUN
fis-1504	211	21	under	under	ADP
fis-1504	211	22	proportional	proportional	ADJ
fis-1504	211	23	and	and	CCONJ
fis-1504	211	24	non	non	ADJ
fis-1504	211	25	-	-	ADJ
fis-1504	211	26	proportional	proportional	ADJ
fis-1504	211	27	loading	loading	NOUN
fis-1504	211	28	,	,	PUNCT
fis-1504	211	29	fatigue	fatigue	NOUN
fis-1504	211	30	of	of	ADP
fis-1504	211	31	engineering	engineering	NOUN
fis-1504	211	32	materials	material	NOUN
fis-1504	211	33	and	and	CCONJ
fis-1504	211	34	structures	structure	NOUN
fis-1504	211	35	,	,	PUNCT
fis-1504	211	36	16	16	NUM
fis-1504	211	37	(	(	PUNCT
fis-1504	211	38	1993)1285–1293	1993)1285–1293	NUM
fis-1504	211	39	.	.	PUNCT
fis-1504	212	1	[	[	X
fis-1504	212	2	4	4	NUM
fis-1504	212	3	]	]	X
fis-1504	212	4	fatemi	fatemi	PROPN
fis-1504	212	5	,	,	PUNCT
fis-1504	212	6	a.	a.	PROPN
fis-1504	212	7	,	,	PUNCT
fis-1504	212	8	socie	socie	NOUN
fis-1504	212	9	,	,	PUNCT
fis-1504	212	10	d.f	d.f	PROPN
fis-1504	212	11	.	.	PROPN
fis-1504	212	12	,	,	PUNCT
fis-1504	212	13	a	a	DET
fis-1504	212	14	critical	critical	ADJ
fis-1504	212	15	plane	plane	NOUN
fis-1504	212	16	approach	approach	NOUN
fis-1504	212	17	to	to	ADP
fis-1504	212	18	multiaxial	multiaxial	ADJ
fis-1504	212	19	fatigue	fatigue	NOUN
fis-1504	212	20	damage	damage	NOUN
fis-1504	212	21	including	include	VERB
fis-1504	212	22	out	out	ADV
fis-1504	212	23	-	-	PUNCT
fis-1504	212	24	of	of	ADP
fis-1504	212	25	-	-	PUNCT
fis-1504	212	26	phase	phase	NOUN
fis-1504	212	27	loading	loading	NOUN
fis-1504	212	28	,	,	PUNCT
fis-1504	212	29	fatigue	fatigue	NOUN
fis-1504	212	30	fract	fract	NOUN
fis-1504	212	31	eng	eng	PROPN
fis-1504	212	32	mater	mater	NOUN
fis-1504	212	33	struct	struct	NOUN
fis-1504	212	34	,	,	PUNCT
fis-1504	212	35	11	11	NUM
fis-1504	212	36	(	(	PUNCT
fis-1504	212	37	1988	1988	NUM
fis-1504	212	38	)	)	PUNCT
fis-1504	212	39	149	149	NUM
fis-1504	212	40	-	-	SYM
fis-1504	212	41	65	65	NUM
fis-1504	212	42	.	.	PUNCT
fis-1504	213	1	[	[	X
fis-1504	213	2	5	5	NUM
fis-1504	213	3	]	]	X
fis-1504	213	4	marciniak	marciniak	PROPN
fis-1504	213	5	,	,	PUNCT
fis-1504	213	6	z.	z.	PROPN
fis-1504	213	7	,	,	PUNCT
fis-1504	213	8	rozumek	rozumek	PROPN
fis-1504	213	9	,	,	PUNCT
fis-1504	213	10	d.	d.	PROPN
fis-1504	213	11	,	,	PUNCT
fis-1504	213	12	macha	macha	PROPN
fis-1504	213	13	,	,	PUNCT
fis-1504	213	14	e.	e.	PROPN
fis-1504	213	15	,	,	PUNCT
fis-1504	213	16	verification	verification	NOUN
fis-1504	213	17	of	of	ADP
fis-1504	213	18	fatigue	fatigue	NOUN
fis-1504	213	19	critical	critical	ADJ
fis-1504	213	20	plane	plane	NOUN
fis-1504	213	21	position	position	NOUN
fis-1504	213	22	according	accord	VERB
fis-1504	213	23	to	to	ADP
fis-1504	213	24	variance	variance	NOUN
fis-1504	213	25	and	and	CCONJ
fis-1504	213	26	damage	damage	NOUN
fis-1504	213	27	accumulation	accumulation	NOUN
fis-1504	213	28	methods	method	NOUN
fis-1504	213	29	under	under	ADP
fis-1504	213	30	multiaxial	multiaxial	ADJ
fis-1504	213	31	loading	loading	NOUN
fis-1504	213	32	,	,	PUNCT
fis-1504	213	33	int	int	NOUN
fis-1504	213	34	j	j	PROPN
fis-1504	213	35	fatigue	fatigue	NOUN
fis-1504	213	36	,	,	PUNCT
fis-1504	213	37	58	58	NUM
fis-1504	213	38	(	(	PUNCT
fis-1504	213	39	2014	2014	NUM
fis-1504	213	40	)	)	PUNCT
fis-1504	213	41	84	84	NUM
fis-1504	213	42	-	-	SYM
fis-1504	213	43	93	93	NUM
fis-1504	213	44	.	.	PUNCT
fis-1504	214	1	[	[	X
fis-1504	214	2	6	6	NUM
fis-1504	214	3	]	]	SYM
fis-1504	214	4	bedkowski	bedkowski	NOUN
fis-1504	214	5	,	,	PUNCT
fis-1504	214	6	w.	w.	PROPN
fis-1504	214	7	,	,	PUNCT
fis-1504	214	8	macha	macha	PROPN
fis-1504	214	9	,	,	PUNCT
fis-1504	214	10	e.	e.	PROPN
fis-1504	214	11	,	,	PUNCT
fis-1504	214	12	ohnami	ohnami	NOUN
fis-1504	214	13	,	,	PUNCT
fis-1504	214	14	m.	m.	NOUN
fis-1504	214	15	,	,	PUNCT
fis-1504	214	16	sakane	sakane	NOUN
fis-1504	214	17	,	,	PUNCT
fis-1504	214	18	m.	m.	NOUN
fis-1504	214	19	,	,	PUNCT
fis-1504	214	20	fracture	fracture	ADJ
fis-1504	214	21	plane	plane	NOUN
fis-1504	214	22	of	of	ADP
fis-1504	214	23	cruciform	cruciform	PROPN
fis-1504	214	24	specimen	speciman	NOUN
fis-1504	214	25	in	in	ADP
fis-1504	214	26	biaxial	biaxial	ADJ
fis-1504	214	27	low	low	ADJ
fis-1504	214	28	cycle	cycle	NOUN
fis-1504	214	29	fatigue	fatigue	NOUN
fis-1504	214	30	-	-	PUNCT
fis-1504	214	31	estimate	estimate	NOUN
fis-1504	214	32	by	by	ADP
fis-1504	214	33	variance	variance	NOUN
fis-1504	214	34	method	method	NOUN
fis-1504	214	35	and	and	CCONJ
fis-1504	214	36	experimental	experimental	ADJ
fis-1504	214	37	verification	verification	NOUN
fis-1504	214	38	,	,	PUNCT
fis-1504	214	39	trans	trans	PROPN
fis-1504	214	40	asme	asme	PROPN
fis-1504	214	41	j	j	PROPN
fis-1504	214	42	eng	eng	PROPN
fis-1504	214	43	mater	mater	NOUN
fis-1504	214	44	technol	technol	NOUN
fis-1504	214	45	,	,	PUNCT
fis-1504	214	46	117	117	NUM
fis-1504	214	47	(	(	PUNCT
fis-1504	214	48	1995	1995	NUM
fis-1504	214	49	)	)	PUNCT
fis-1504	214	50	183–90	183–90	NUM
fis-1504	214	51	.	.	PUNCT
fis-1504	215	1	[	[	X
fis-1504	215	2	7	7	NUM
fis-1504	215	3	]	]	X
fis-1504	215	4	carpinteri	carpinteri	NOUN
fis-1504	215	5	,	,	PUNCT
fis-1504	215	6	a.	a.	PROPN
fis-1504	215	7	,	,	PUNCT
fis-1504	215	8	macha	macha	PROPN
fis-1504	215	9	,	,	PUNCT
fis-1504	215	10	e.	e.	PROPN
fis-1504	215	11	,	,	PUNCT
fis-1504	215	12	brighenti	brighenti	PROPN
fis-1504	215	13	,	,	PUNCT
fis-1504	215	14	r.	r.	PROPN
fis-1504	215	15	,	,	PUNCT
fis-1504	215	16	spagnoli	spagnoli	PROPN
fis-1504	215	17	,	,	PUNCT
fis-1504	215	18	a.	a.	NOUN
fis-1504	215	19	,	,	PUNCT
fis-1504	215	20	expected	expect	VERB
fis-1504	215	21	principal	principal	ADJ
fis-1504	215	22	stress	stress	NOUN
fis-1504	215	23	directions	direction	NOUN
fis-1504	215	24	under	under	ADP
fis-1504	215	25	multiaxial	multiaxial	ADJ
fis-1504	215	26	random	random	ADJ
fis-1504	215	27	loading	loading	NOUN
fis-1504	215	28	part	part	NOUN
fis-1504	215	29	i	i	NOUN
fis-1504	215	30	:	:	PUNCT
fis-1504	215	31	theoretical	theoretical	ADJ
fis-1504	215	32	aspects	aspect	NOUN
fis-1504	215	33	of	of	ADP
fis-1504	215	34	the	the	DET
fis-1504	215	35	weight	weight	NOUN
fis-1504	215	36	function	function	NOUN
fis-1504	215	37	method	method	NOUN
fis-1504	215	38	,	,	PUNCT
fis-1504	215	39	int	int	NOUN
fis-1504	215	40	j	j	PROPN
fis-1504	215	41	fatigue	fatigue	NOUN
fis-1504	215	42	,	,	PUNCT
fis-1504	215	43	21(1999	21(1999	NUM
fis-1504	215	44	)	)	PUNCT
fis-1504	215	45	83–88	83–88	NUM
fis-1504	215	46	.	.	PUNCT
fis-1504	216	1	[	[	X
fis-1504	216	2	8	8	NUM
fis-1504	216	3	]	]	X
fis-1504	216	4	carpinteri	carpinteri	NOUN
fis-1504	216	5	,	,	PUNCT
fis-1504	216	6	a.	a.	PROPN
fis-1504	216	7	,	,	PUNCT
fis-1504	216	8	macha	macha	PROPN
fis-1504	216	9	,	,	PUNCT
fis-1504	216	10	e.	e.	PROPN
fis-1504	216	11	,	,	PUNCT
fis-1504	216	12	brighenti	brighenti	PROPN
fis-1504	216	13	,	,	PUNCT
fis-1504	216	14	r.	r.	PROPN
fis-1504	216	15	,	,	PUNCT
fis-1504	216	16	spagnoli	spagnoli	PROPN
fis-1504	216	17	,	,	PUNCT
fis-1504	216	18	a.	a.	NOUN
fis-1504	216	19	,	,	PUNCT
fis-1504	216	20	expected	expect	VERB
fis-1504	216	21	principal	principal	ADJ
fis-1504	216	22	stress	stress	NOUN
fis-1504	216	23	directions	direction	NOUN
fis-1504	216	24	under	under	ADP
fis-1504	216	25	multiaxial	multiaxial	ADJ
fis-1504	216	26	random	random	ADJ
fis-1504	216	27	loading	loading	NOUN
fis-1504	216	28	part	part	NOUN
fis-1504	216	29	ii	ii	PROPN
fis-1504	216	30	:	:	PUNCT
fis-1504	216	31	numericalsimulation	numericalsimulation	NOUN
fis-1504	216	32	and	and	CCONJ
fis-1504	216	33	experimentally	experimentally	ADV
fis-1504	216	34	assessment	assessment	NOUN
fis-1504	216	35	through	through	ADP
fis-1504	216	36	the	the	DET
fis-1504	216	37	weight	weight	NOUN
fis-1504	216	38	functionmethod	functionmethod	NOUN
fis-1504	216	39	,	,	PUNCT
fis-1504	216	40	int	int	NOUN
fis-1504	216	41	.	.	PUNCT
fis-1504	217	1	j.	j.	PROPN
fis-1504	217	2	fatigue	fatigue	PROPN
fis-1504	217	3	,	,	PUNCT
fis-1504	217	4	21(1999	21(1999	NUM
fis-1504	217	5	):	):	PUNCT
fis-1504	217	6	89–96	89–96	NUM
fis-1504	217	7	.	.	PUNCT
fis-1504	218	1	[	[	X
fis-1504	218	2	9	9	NUM
fis-1504	218	3	]	]	SYM
fis-1504	218	4	susmel	susmel	NOUN
fis-1504	218	5	,	,	PUNCT
fis-1504	218	6	l.	l.	PROPN
fis-1504	218	7	,	,	PUNCT
fis-1504	218	8	a	a	DET
fis-1504	218	9	simple	simple	ADJ
fis-1504	218	10	and	and	CCONJ
fis-1504	218	11	efficient	efficient	ADJ
fis-1504	218	12	numerical	numerical	ADJ
fis-1504	218	13	algorithm	algorithm	NOUN
fis-1504	218	14	to	to	PART
fis-1504	218	15	determine	determine	VERB
fis-1504	218	16	the	the	DET
fis-1504	218	17	orientation	orientation	NOUN
fis-1504	218	18	of	of	ADP
fis-1504	218	19	the	the	DET
fis-1504	218	20	critical	critical	ADJ
fis-1504	218	21	plane	plane	NOUN
fis-1504	218	22	in	in	ADP
fis-1504	218	23	multiaxial	multiaxial	ADJ
fis-1504	218	24	fatigue	fatigue	NOUN
fis-1504	218	25	problems	problem	NOUN
fis-1504	218	26	,	,	PUNCT
fis-1504	218	27	int	int	NOUN
fis-1504	218	28	.	.	PUNCT
fis-1504	219	1	j.	j.	PROPN
fis-1504	219	2	fatigue	fatigue	PROPN
fis-1504	219	3	,	,	PUNCT
fis-1504	219	4	32	32	NUM
fis-1504	219	5	(	(	PUNCT
fis-1504	219	6	2010	2010	NUM
fis-1504	219	7	)	)	PUNCT
fis-1504	219	8	1875	1875	NUM
fis-1504	219	9	-	-	SYM
fis-1504	219	10	1883	1883	NUM
fis-1504	219	11	.	.	PUNCT
fis-1504	220	1	[	[	X
fis-1504	220	2	10	10	NUM
fis-1504	220	3	]	]	X
fis-1504	220	4	susmel	susmel	NOUN
fis-1504	220	5	,	,	PUNCT
fis-1504	220	6	l.	l.	PROPN
fis-1504	220	7	,	,	PUNCT
fis-1504	220	8	tovo	tovo	PROPN
fis-1504	220	9	,	,	PUNCT
fis-1504	220	10	r.	r.	PROPN
fis-1504	220	11	,	,	PUNCT
fis-1504	220	12	estimating	estimate	VERB
fis-1504	220	13	fatigue	fatigue	NOUN
fis-1504	220	14	damage	damage	NOUN
fis-1504	220	15	under	under	ADP
fis-1504	220	16	variable	variable	ADJ
fis-1504	220	17	amplitude	amplitude	NOUN
fis-1504	220	18	multiaxial	multiaxial	ADJ
fis-1504	220	19	fatigue	fatigue	NOUN
fis-1504	220	20	loading	loading	NOUN
fis-1504	220	21	,	,	PUNCT
fis-1504	220	22	fatigue	fatigue	NOUN
fis-1504	220	23	&	&	CCONJ
fis-1504	220	24	fracture	fracture	PROPN
fis-1504	220	25	of	of	ADP
fis-1504	220	26	engineering	engineering	NOUN
fis-1504	220	27	materials	material	NOUN
fis-1504	220	28	&	&	CCONJ
fis-1504	220	29	structures	structure	NOUN
fis-1504	220	30	,	,	PUNCT
fis-1504	220	31	34	34	NUM
fis-1504	220	32	(	(	PUNCT
fis-1504	220	33	2011	2011	NUM
fis-1504	220	34	)	)	PUNCT
fis-1504	220	35	1053	1053	NUM
fis-1504	220	36	-	-	SYM
fis-1504	220	37	1077	1077	NUM
fis-1504	220	38	.	.	PUNCT
fis-1504	221	1	[	[	X
fis-1504	221	2	11	11	NUM
fis-1504	221	3	]	]	X
fis-1504	221	4	matsuishi	matsuishi	NOUN
fis-1504	221	5	,	,	PUNCT
fis-1504	221	6	m.	m.	NOUN
fis-1504	221	7	,	,	PUNCT
fis-1504	221	8	endo	endo	NOUN
fis-1504	221	9	,	,	PUNCT
fis-1504	221	10	t.	t.	PROPN
fis-1504	221	11	,	,	PUNCT
fis-1504	221	12	fatigue	fatigue	NOUN
fis-1504	221	13	of	of	ADP
fis-1504	221	14	metals	metal	NOUN
fis-1504	221	15	subjected	subject	VERB
fis-1504	221	16	to	to	ADP
fis-1504	221	17	varying	vary	VERB
fis-1504	221	18	mar	mar	PROPN
fis-1504	221	19	.	.	PROPN
fis-1504	221	20	stress	stress	PROPN
fis-1504	221	21	,	,	PUNCT
fis-1504	221	22	presented	present	VERB
fis-1504	221	23	at	at	ADP
fis-1504	221	24	japan	japan	PROPN
fis-1504	221	25	society	society	PROPN
fis-1504	221	26	of	of	ADP
fis-1504	221	27	mechanical	mechanical	ADJ
fis-1504	221	28	engineers	engineer	NOUN
fis-1504	221	29	,	,	PUNCT
fis-1504	221	30	fukuoka	fukuoka	PROPN
fis-1504	221	31	,	,	PUNCT
fis-1504	221	32	japan	japan	PROPN
fis-1504	221	33	,	,	PUNCT
fis-1504	221	34	(	(	PUNCT
fis-1504	221	35	1968	1968	NUM
fis-1504	221	36	)	)	PUNCT
fis-1504	221	37	.	.	PUNCT
fis-1504	222	1	[	[	X
fis-1504	222	2	12	12	NUM
fis-1504	222	3	]	]	SYM
fis-1504	222	4	shamsaei	shamsaei	PROPN
fis-1504	222	5	,	,	PUNCT
fis-1504	222	6	n.	n.	NOUN
fis-1504	222	7	,	,	PUNCT
fis-1504	222	8	fatemi	fatemi	PROPN
fis-1504	222	9	,	,	PUNCT
fis-1504	222	10	a.	a.	PROPN
fis-1504	222	11	,	,	PUNCT
fis-1504	222	12	socie	socie	NOUN
fis-1504	222	13	,	,	PUNCT
fis-1504	222	14	d.f	d.f	PROPN
fis-1504	222	15	.	.	PROPN
fis-1504	222	16	,	,	PUNCT
fis-1504	222	17	multiaxial	multiaxial	ADJ
fis-1504	222	18	fatigue	fatigue	NOUN
fis-1504	222	19	evaluation	evaluation	NOUN
fis-1504	222	20	using	use	VERB
fis-1504	222	21	discriminating	discriminate	VERB
fis-1504	222	22	strain	strain	NOUN
fis-1504	222	23	paths	path	NOUN
fis-1504	222	24	.	.	PUNCT
fis-1504	223	1	int	int	NOUN
fis-1504	223	2	.	.	PUNCT
fis-1504	224	1	j.	j.	PROPN
fis-1504	224	2	fatigue	fatigue	PROPN
fis-1504	224	3	,	,	PUNCT
fis-1504	224	4	33	33	NUM
fis-1504	224	5	(	(	PUNCT
fis-1504	224	6	2011	2011	NUM
fis-1504	224	7	)	)	PUNCT
fis-1504	224	8	597	597	NUM
fis-1504	224	9	-	-	NUM
fis-1504	224	10	609	609	NUM
fis-1504	224	11	.	.	PUNCT
fis-1504	225	1	[	[	X
fis-1504	225	2	13	13	NUM
fis-1504	225	3	]	]	X
fis-1504	225	4	bannantine	bannantine	NOUN
fis-1504	225	5	,	,	PUNCT
fis-1504	225	6	j.a	j.a	PROPN
fis-1504	225	7	.	.	PROPN
fis-1504	225	8	,	,	PUNCT
fis-1504	225	9	socie	socie	PROPN
fis-1504	225	10	,	,	PUNCT
fis-1504	225	11	d.f	d.f	PROPN
fis-1504	225	12	.	.	PROPN
fis-1504	225	13	,	,	PUNCT
fis-1504	225	14	multiaxial	multiaxial	ADJ
fis-1504	225	15	fatigue	fatigue	NOUN
fis-1504	225	16	life	life	NOUN
fis-1504	225	17	estimation	estimation	NOUN
fis-1504	225	18	technique	technique	NOUN
fis-1504	225	19	,	,	PUNCT
fis-1504	225	20	in	in	ADP
fis-1504	225	21	:	:	PUNCT
fis-1504	225	22	mitchel	mitchel	PROPN
fis-1504	225	23	m	m	PROPN
fis-1504	225	24	,	,	PUNCT
fis-1504	225	25	landgraf	landgraf	PROPN
fis-1504	225	26	r	r	NOUN
fis-1504	225	27	,	,	PUNCT
fis-1504	225	28	editors	editor	NOUN
fis-1504	225	29	.	.	PUNCT
fis-1504	226	1	astm	astm	PROPN
fis-1504	226	2	symposium	symposium	NOUN
fis-1504	226	3	on	on	ADP
fis-1504	226	4	advances	advance	NOUN
fis-1504	226	5	in	in	ADP
fis-1504	226	6	fatigue	fatigue	NOUN
fis-1504	226	7	lifetime	lifetime	NOUN
fis-1504	226	8	predictive	predictive	ADJ
fis-1504	226	9	techniques	technique	NOUN
fis-1504	226	10	,	,	PUNCT
fis-1504	226	11	astm	astm	PROPN
fis-1504	226	12	stp	stp	PROPN
fis-1504	226	13	1122	1122	NUM
fis-1504	226	14	(	(	PUNCT
fis-1504	226	15	1991	1991	NUM
fis-1504	226	16	)	)	PUNCT
fis-1504	226	17	249–75	249–75	NOUN
fis-1504	226	18	.	.	PUNCT
fis-1504	227	1	[	[	X
fis-1504	227	2	14	14	NUM
fis-1504	227	3	]	]	X
fis-1504	227	4	wang	wang	PROPN
fis-1504	227	5	,	,	PUNCT
fis-1504	227	6	c.h	c.h	PROPN
fis-1504	227	7	.	.	PROPN
fis-1504	227	8	,	,	PUNCT
fis-1504	227	9	brown	brown	PROPN
fis-1504	227	10	,	,	PUNCT
fis-1504	227	11	m.w	m.w	PROPN
fis-1504	227	12	.	.	PROPN
fis-1504	227	13	,	,	PUNCT
fis-1504	227	14	life	life	NOUN
fis-1504	227	15	prediction	prediction	NOUN
fis-1504	227	16	techniques	technique	NOUN
fis-1504	227	17	for	for	ADP
fis-1504	227	18	variable	variable	ADJ
fis-1504	227	19	amplitude	amplitude	NOUN
fis-1504	227	20	multiaxial	multiaxial	ADJ
fis-1504	227	21	fatigue	fatigue	NOUN
fis-1504	227	22	–	–	PUNCT
fis-1504	227	23	part	part	NOUN
fis-1504	227	24	i	i	PRON
fis-1504	227	25	:	:	PUNCT
fis-1504	227	26	theories	theory	NOUN
fis-1504	227	27	,	,	PUNCT
fis-1504	227	28	j.	j.	PROPN
fis-1504	227	29	eng	eng	PROPN
fis-1504	227	30	.	.	PROPN
fis-1504	227	31	mater	mater	PROPN
fis-1504	227	32	.	.	PUNCT
fis-1504	228	1	technol	technol	PROPN
fis-1504	228	2	.	.	PUNCT
fis-1504	229	1	118	118	NUM
fis-1504	229	2	(	(	PUNCT
fis-1504	229	3	1996	1996	NUM
fis-1504	229	4	)	)	PUNCT
fis-1504	229	5	367–70	367–70	PROPN
fis-1504	229	6	.	.	PUNCT
fis-1504	230	1	[	[	X
fis-1504	230	2	15	15	NUM
fis-1504	230	3	]	]	X
fis-1504	230	4	papadopoulos	papadopoulos	PROPN
fis-1504	230	5	,	,	PUNCT
fis-1504	230	6	i.v	i.v	PROPN
fis-1504	230	7	.	.	PROPN
fis-1504	230	8	,	,	PUNCT
fis-1504	230	9	critical	critical	ADJ
fis-1504	230	10	plane	plane	NOUN
fis-1504	230	11	approaches	approach	VERB
fis-1504	230	12	in	in	ADP
fis-1504	230	13	high	high	ADJ
fis-1504	230	14	-	-	PUNCT
fis-1504	230	15	cycle	cycle	NOUN
fis-1504	230	16	fatigue	fatigue	NOUN
fis-1504	230	17	:	:	PUNCT
fis-1504	230	18	on	on	ADP
fis-1504	230	19	the	the	DET
fis-1504	230	20	definition	definition	NOUN
fis-1504	230	21	of	of	ADP
fis-1504	230	22	the	the	DET
fis-1504	230	23	amplitude	amplitude	NOUN
fis-1504	230	24	and	and	CCONJ
fis-1504	230	25	mean	mean	ADJ
fis-1504	230	26	value	value	NOUN
fis-1504	230	27	of	of	ADP
fis-1504	230	28	the	the	DET
fis-1504	230	29	shear	shear	NOUN
fis-1504	230	30	stress	stress	NOUN
fis-1504	230	31	acting	act	VERB
fis-1504	230	32	on	on	ADP
fis-1504	230	33	the	the	DET
fis-1504	230	34	critical	critical	ADJ
fis-1504	230	35	plane	plane	NOUN
fis-1504	230	36	,	,	PUNCT
fis-1504	230	37	fatigue	fatigue	NOUN
fis-1504	230	38	fract	fract	NOUN
fis-1504	230	39	.	.	PUNCT
fis-1504	231	1	eng	eng	PROPN
fis-1504	231	2	.	.	PUNCT
fis-1504	231	3	mater	mater	PROPN
fis-1504	231	4	.	.	PUNCT
fis-1504	231	5	struct	struct	NOUN
fis-1504	231	6	.	.	PUNCT
fis-1504	231	7	,	,	PUNCT
fis-1504	231	8	21	21	NUM
fis-1504	231	9	(	(	PUNCT
fis-1504	231	10	1998	1998	NUM
fis-1504	231	11	)	)	PUNCT
fis-1504	231	12	269	269	NUM
fis-1504	231	13	-	-	SYM
fis-1504	231	14	285	285	NUM
fis-1504	231	15	.	.	PUNCT
fis-1504	232	1	[	[	X
fis-1504	232	2	16	16	NUM
fis-1504	232	3	]	]	PUNCT
fis-1504	232	4	susmel	susmel	NOUN
fis-1504	232	5	,	,	PUNCT
fis-1504	232	6	l.	l.	PROPN
fis-1504	232	7	,	,	PUNCT
fis-1504	232	8	tovo	tovo	PROPN
fis-1504	232	9	,	,	PUNCT
fis-1504	232	10	r.	r.	PROPN
fis-1504	232	11	,	,	PUNCT
fis-1504	232	12	benasciutti	benasciutti	PROPN
fis-1504	232	13	,	,	PUNCT
fis-1504	232	14	d.	d.	PROPN
fis-1504	232	15	,	,	PUNCT
fis-1504	232	16	a	a	DET
fis-1504	232	17	novel	novel	ADJ
fis-1504	232	18	engineering	engineering	NOUN
fis-1504	232	19	method	method	NOUN
fis-1504	232	20	based	base	VERB
fis-1504	232	21	on	on	ADP
fis-1504	232	22	the	the	DET
fis-1504	232	23	critical	critical	ADJ
fis-1504	232	24	plane	plane	NOUN
fis-1504	232	25	concept	concept	NOUN
fis-1504	232	26	to	to	PART
fis-1504	232	27	estimate	estimate	VERB
fis-1504	232	28	the	the	DET
fis-1504	232	29	lifetime	lifetime	NOUN
fis-1504	232	30	of	of	ADP
fis-1504	232	31	weldments	weldment	NOUN
fis-1504	232	32	subjected	subject	VERB
fis-1504	232	33	to	to	ADP
fis-1504	232	34	variable	variable	ADJ
fis-1504	232	35	amplitude	amplitude	NOUN
fis-1504	232	36	multiaxial	multiaxial	ADJ
fis-1504	232	37	fatigue	fatigue	NOUN
fis-1504	232	38	loading	loading	NOUN
fis-1504	232	39	,	,	PUNCT
fis-1504	232	40	fatigue	fatigue	NOUN
fis-1504	232	41	&	&	CCONJ
fis-1504	232	42	fracture	fracture	PROPN
fis-1504	232	43	of	of	ADP
fis-1504	232	44	engineering	engineering	NOUN
fis-1504	232	45	materials	material	NOUN
fis-1504	232	46	&	&	CCONJ
fis-1504	232	47	structures	structure	NOUN
fis-1504	232	48	,	,	PUNCT
fis-1504	232	49	32	32	NUM
fis-1504	232	50	(	(	PUNCT
fis-1504	232	51	2009	2009	NUM
fis-1504	232	52	)	)	PUNCT
fis-1504	232	53	441	441	NUM
fis-1504	232	54	-	-	SYM
fis-1504	232	55	459	459	NUM
fis-1504	232	56	.	.	PUNCT
fis-1504	233	1	[	[	X
fis-1504	233	2	17	17	NUM
fis-1504	233	3	]	]	PUNCT
fis-1504	233	4	susmel	susmel	NOUN
fis-1504	233	5	,	,	PUNCT
fis-1504	233	6	l.	l.	PROPN
fis-1504	233	7	,	,	PUNCT
fis-1504	233	8	taylor	taylor	PROPN
fis-1504	233	9	,	,	PUNCT
fis-1504	233	10	d.	d.	PROPN
fis-1504	233	11	,	,	PUNCT
fis-1504	233	12	a	a	DET
fis-1504	233	13	critical	critical	ADJ
fis-1504	233	14	distance	distance	NOUN
fis-1504	233	15	/	/	SYM
fis-1504	233	16	plane	plane	NOUN
fis-1504	233	17	method	method	NOUN
fis-1504	233	18	to	to	PART
fis-1504	233	19	estimate	estimate	VERB
fis-1504	233	20	finite	finite	ADJ
fis-1504	233	21	life	life	NOUN
fis-1504	233	22	of	of	ADP
fis-1504	233	23	notched	notch	VERB
fis-1504	233	24	components	component	NOUN
fis-1504	233	25	under	under	ADP
fis-1504	233	26	variable	variable	NOUN
fis-1504	233	27	t	t	PROPN
fis-1504	233	28	y.	y.	PROPN
fis-1504	233	29	wang	wang	PROPN
fis-1504	233	30	et	et	PROPN
fis-1504	233	31	alii	alii	PROPN
fis-1504	233	32	,	,	PUNCT
fis-1504	233	33	frattura	frattura	PROPN
fis-1504	233	34	ed	ed	PROPN
fis-1504	233	35	integrità	integrità	PROPN
fis-1504	233	36	strutturale	strutturale	PROPN
fis-1504	233	37	,	,	PUNCT
fis-1504	233	38	33	33	NUM
fis-1504	233	39	(	(	PUNCT
fis-1504	233	40	2015	2015	NUM
fis-1504	233	41	)	)	PUNCT
fis-1504	233	42	345	345	NUM
fis-1504	233	43	-	-	SYM
fis-1504	233	44	356	356	NUM
fis-1504	233	45	;	;	PUNCT
fis-1504	233	46	doi	doi	NOUN
fis-1504	233	47	:	:	PUNCT
fis-1504	233	48	10.3221	10.3221	NUM
fis-1504	233	49	/	/	SYM
fis-1504	233	50	igf	igf	PROPN
fis-1504	233	51	-	-	ADJ
fis-1504	233	52	esis.33.38	esis.33.38	ADJ
fis-1504	233	53	356	356	NUM
fis-1504	233	54	amplitude	amplitude	NOUN
fis-1504	233	55	uniaxial	uniaxial	ADJ
fis-1504	233	56	/	/	SYM
fis-1504	233	57	multiaxial	multiaxial	ADJ
fis-1504	233	58	fatigue	fatigue	NOUN
fis-1504	233	59	loading	loading	NOUN
fis-1504	233	60	,	,	PUNCT
fis-1504	233	61	international	international	ADJ
fis-1504	233	62	journal	journal	NOUN
fis-1504	233	63	of	of	ADP
fis-1504	233	64	fatigue	fatigue	NOUN
fis-1504	233	65	,	,	PUNCT
fis-1504	233	66	38	38	NUM
fis-1504	233	67	(	(	PUNCT
fis-1504	233	68	2012	2012	NUM
fis-1504	233	69	)	)	PUNCT
fis-1504	233	70	7	7	NUM
fis-1504	233	71	-	-	SYM
fis-1504	233	72	24	24	NUM
fis-1504	233	73	.	.	PUNCT
fis-1504	234	1	[	[	X
fis-1504	234	2	18	18	NUM
fis-1504	234	3	]	]	PUNCT
fis-1504	234	4	susmel	susmel	NOUN
fis-1504	234	5	,	,	PUNCT
fis-1504	234	6	l.	l.	PROPN
fis-1504	234	7	,	,	PUNCT
fis-1504	234	8	meneghetti	meneghetti	PROPN
fis-1504	234	9	,	,	PUNCT
fis-1504	234	10	g.	g.	PROPN
fis-1504	234	11	,	,	PUNCT
fis-1504	234	12	atzori	atzori	PROPN
fis-1504	234	13	,	,	PUNCT
fis-1504	234	14	b.	b.	PROPN
fis-1504	234	15	,	,	PUNCT
fis-1504	234	16	a	a	DET
fis-1504	234	17	simple	simple	ADJ
fis-1504	234	18	and	and	CCONJ
fis-1504	234	19	efficient	efficient	ADJ
fis-1504	234	20	reformulation	reformulation	NOUN
fis-1504	234	21	of	of	ADP
fis-1504	234	22	the	the	DET
fis-1504	234	23	classical	classical	ADJ
fis-1504	234	24	manson	manson	NOUN
fis-1504	234	25	-	-	PUNCT
fis-1504	234	26	coffin	coffin	NOUN
fis-1504	234	27	curve	curve	NOUN
fis-1504	234	28	to	to	PART
fis-1504	234	29	predict	predict	VERB
fis-1504	234	30	lifetime	lifetime	NOUN
fis-1504	234	31	under	under	ADP
fis-1504	234	32	multiaxial	multiaxial	ADJ
fis-1504	234	33	fatigue	fatigue	NOUN
fis-1504	234	34	loading	loading	NOUN
fis-1504	234	35	-	-	PUNCT
fis-1504	234	36	part	part	NOUN
fis-1504	234	37	i	i	NOUN
fis-1504	234	38	:	:	PUNCT
fis-1504	234	39	plain	plain	ADJ
fis-1504	234	40	materials	material	NOUN
fis-1504	234	41	,	,	PUNCT
fis-1504	234	42	journal	journal	NOUN
fis-1504	234	43	of	of	ADP
fis-1504	234	44	engineering	engineering	NOUN
fis-1504	234	45	materials	material	NOUN
fis-1504	234	46	and	and	CCONJ
fis-1504	234	47	technology	technology	NOUN
fis-1504	234	48	,	,	PUNCT
fis-1504	234	49	131	131	NUM
fis-1504	234	50	(	(	PUNCT
fis-1504	234	51	2009	2009	NUM
fis-1504	234	52	)	)	PUNCT
fis-1504	234	53	021009	021009	NUM
fis-1504	234	54	-	-	SYM
fis-1504	234	55	1	1	NUM
fis-1504	234	56	-	-	PUNCT
fis-1504	234	57	021009	021009	NUM
fis-1504	234	58	-	-	SYM
fis-1504	234	59	9	9	NUM
fis-1504	234	60	.	.	PUNCT
fis-1504	235	1	[	[	X
fis-1504	235	2	19	19	NUM
fis-1504	235	3	]	]	PUNCT
fis-1504	235	4	snyman	snyman	NOUN
fis-1504	235	5	,	,	PUNCT
fis-1504	235	6	j.a	j.a	PROPN
fis-1504	235	7	.	.	PROPN
fis-1504	235	8	,	,	PUNCT
fis-1504	235	9	practical	practical	ADJ
fis-1504	235	10	mathematical	mathematical	ADJ
fis-1504	235	11	optimization	optimization	NOUN
fis-1504	235	12	:	:	PUNCT
fis-1504	235	13	an	an	DET
fis-1504	235	14	introduction	introduction	NOUN
fis-1504	235	15	to	to	ADP
fis-1504	235	16	basic	basic	ADJ
fis-1504	235	17	optimizaion	optimizaion	NOUN
fis-1504	235	18	theory	theory	NOUN
fis-1504	235	19	and	and	CCONJ
fis-1504	235	20	classical	classical	ADJ
fis-1504	235	21	and	and	CCONJ
fis-1504	235	22	new	new	ADJ
fis-1504	235	23	gradient	gradient	NOUN
fis-1504	235	24	-	-	PUNCT
fis-1504	235	25	based	base	VERB
fis-1504	235	26	algorithms	algorithm	NOUN
fis-1504	235	27	,	,	PUNCT
fis-1504	235	28	springer	springer	NOUN
fis-1504	235	29	publishing	publishing	NOUN
fis-1504	235	30	,	,	PUNCT
fis-1504	235	31	(	(	PUNCT
fis-1504	235	32	2005	2005	NUM
fis-1504	235	33	)	)	PUNCT
fis-1504	235	34	.	.	PUNCT
fis-1504	236	1	[	[	X
fis-1504	236	2	20	20	NUM
fis-1504	236	3	]	]	X
fis-1504	236	4	kim	kim	PROPN
fis-1504	236	5	,	,	PUNCT
fis-1504	236	6	k.s	k.s	PROPN
fis-1504	236	7	.	.	PROPN
fis-1504	236	8	,	,	PUNCT
fis-1504	236	9	park	park	PROPN
fis-1504	236	10	,	,	PUNCT
fis-1504	236	11	j.c	j.c	PROPN
fis-1504	236	12	.	.	PROPN
fis-1504	236	13	,	,	PUNCT
fis-1504	236	14	lee	lee	PROPN
fis-1504	236	15	,	,	PUNCT
fis-1504	236	16	j.w	j.w	PROPN
fis-1504	236	17	.	.	PROPN
fis-1504	236	18	,	,	PUNCT
fis-1504	236	19	multiaxial	multiaxial	ADJ
fis-1504	236	20	fatigue	fatigue	NOUN
fis-1504	236	21	under	under	ADP
fis-1504	236	22	variable	variable	ADJ
fis-1504	236	23	amplitude	amplitude	NOUN
fis-1504	236	24	loads	load	NOUN
fis-1504	236	25	,	,	PUNCT
fis-1504	236	26	trans	trans	PROPN
fis-1504	236	27	asme	asme	PROPN
fis-1504	236	28	j.	j.	PROPN
fis-1504	236	29	eng	eng	PROPN
fis-1504	236	30	.	.	PROPN
fis-1504	236	31	mater	mater	PROPN
fis-1504	236	32	.	.	PUNCT
fis-1504	237	1	technol	technol	PROPN
fis-1504	237	2	.	.	PROPN
fis-1504	237	3	,	,	PUNCT
fis-1504	237	4	121	121	NUM
fis-1504	237	5	(	(	PUNCT
fis-1504	237	6	1999	1999	NUM
fis-1504	237	7	)	)	PUNCT
fis-1504	237	8	286	286	NUM
fis-1504	237	9	-	-	SYM
fis-1504	237	10	93	93	NUM
fis-1504	237	11	.	.	PUNCT
fis-1504	238	1	[	[	X
fis-1504	238	2	21	21	NUM
fis-1504	238	3	]	]	X
fis-1504	238	4	han	han	PROPN
fis-1504	238	5	,	,	PUNCT
fis-1504	238	6	c.	c.	PROPN
fis-1504	238	7	,	,	PUNCT
fis-1504	238	8	chen	chen	PROPN
fis-1504	238	9	,	,	PUNCT
fis-1504	238	10	x.	x.	PROPN
fis-1504	238	11	,	,	PUNCT
fis-1504	238	12	kim	kim	PROPN
fis-1504	238	13	,	,	PUNCT
fis-1504	238	14	k.s	k.s	PROPN
fis-1504	238	15	.	.	PROPN
fis-1504	238	16	,	,	PUNCT
fis-1504	238	17	evaluation	evaluation	NOUN
fis-1504	238	18	of	of	ADP
fis-1504	238	19	multiaxial	multiaxial	ADJ
fis-1504	238	20	fatigue	fatigue	NOUN
fis-1504	238	21	criteria	criterion	NOUN
fis-1504	238	22	under	under	ADP
fis-1504	238	23	irregular	irregular	ADJ
fis-1504	238	24	loading	loading	NOUN
fis-1504	238	25	,	,	PUNCT
fis-1504	238	26	int	int	NOUN
fis-1504	238	27	.	.	PUNCT
fis-1504	239	1	j.	j.	PROPN
fis-1504	239	2	fatigue	fatigue	PROPN
fis-1504	239	3	,	,	PUNCT
fis-1504	239	4	24	24	NUM
fis-1504	239	5	(	(	PUNCT
fis-1504	239	6	2002	2002	NUM
fis-1504	239	7	)	)	PUNCT
fis-1504	239	8	913	913	NUM
fis-1504	239	9	-	-	SYM
fis-1504	239	10	922	922	NUM
fis-1504	239	11	.	.	PUNCT
fis-1504	240	1	[	[	X
fis-1504	240	2	22	22	NUM
fis-1504	240	3	]	]	SYM
fis-1504	240	4	shamsaei	shamsaei	PROPN
fis-1504	240	5	,	,	PUNCT
fis-1504	240	6	n.	n.	NOUN
fis-1504	240	7	,	,	PUNCT
fis-1504	240	8	gladskyi	gladskyi	NOUN
fis-1504	240	9	,	,	PUNCT
fis-1504	240	10	m.	m.	NOUN
fis-1504	240	11	,	,	PUNCT
fis-1504	240	12	panasovskyi	panasovskyi	PROPN
fis-1504	240	13	,	,	PUNCT
fis-1504	240	14	k.	k.	PROPN
fis-1504	240	15	,	,	PUNCT
fis-1504	240	16	fatemi	fatemi	PROPN
fis-1504	240	17	,	,	PUNCT
fis-1504	240	18	a.	a.	NOUN
fis-1504	240	19	,	,	PUNCT
fis-1504	240	20	multiaxial	multiaxial	ADJ
fis-1504	240	21	fatigue	fatigue	NOUN
fis-1504	240	22	of	of	ADP
fis-1504	240	23	titanium	titanium	NOUN
fis-1504	240	24	including	include	VERB
fis-1504	240	25	step	step	NOUN
fis-1504	240	26	loading	loading	NOUN
fis-1504	240	27	and	and	CCONJ
fis-1504	240	28	load	load	NOUN
fis-1504	240	29	path	path	NOUN
fis-1504	240	30	alteration	alteration	NOUN
fis-1504	240	31	and	and	CCONJ
fis-1504	240	32	sequence	sequence	NOUN
fis-1504	240	33	effects	effect	NOUN
fis-1504	240	34	,	,	PUNCT
fis-1504	240	35	int	int	NOUN
fis-1504	240	36	.	.	PUNCT
fis-1504	241	1	j.	j.	PROPN
fis-1504	241	2	fatigue	fatigue	PROPN
fis-1504	241	3	,	,	PUNCT
fis-1504	241	4	32	32	NUM
fis-1504	241	5	(	(	PUNCT
fis-1504	241	6	2010	2010	NUM
fis-1504	241	7	)	)	PUNCT
fis-1504	241	8	1862	1862	NUM
fis-1504	241	9	-	-	SYM
fis-1504	241	10	1874	1874	NUM
fis-1504	241	11	.	.	PUNCT
fis-1504	242	1	[	[	X
fis-1504	242	2	23	23	NUM
fis-1504	242	3	]	]	X
fis-1504	242	4	socie	socie	NOUN
fis-1504	242	5	,	,	PUNCT
fis-1504	242	6	d.f	d.f	PROPN
fis-1504	242	7	.	.	PROPN
fis-1504	242	8	,	,	PUNCT
fis-1504	242	9	marquis	marquis	PROPN
fis-1504	242	10	,	,	PUNCT
fis-1504	242	11	g.b	g.b	PROPN
fis-1504	242	12	.	.	PROPN
fis-1504	242	13	,	,	PUNCT
fis-1504	242	14	multiaxial	multiaxial	ADJ
fis-1504	242	15	fatigue	fatigue	NOUN
fis-1504	242	16	,	,	PUNCT
fis-1504	242	17	warrendale	warrendale	NOUN
fis-1504	242	18	,	,	PUNCT
fis-1504	242	19	usa	usa	PROPN
fis-1504	242	20	,	,	PUNCT
fis-1504	242	21	(	(	PUNCT
fis-1504	242	22	1999	1999	NUM
fis-1504	242	23	)	)	PUNCT
fis-1504	242	24	.	.	PUNCT
fis-1504	243	1	[	[	X
fis-1504	243	2	24	24	NUM
fis-1504	243	3	]	]	X
fis-1504	243	4	jiang	jiang	PROPN
fis-1504	243	5	,	,	PUNCT
fis-1504	243	6	y.	y.	PROPN
fis-1504	243	7	,	,	PUNCT
fis-1504	243	8	sehitoglu	sehitoglu	PROPN
fis-1504	243	9	,	,	PUNCT
fis-1504	243	10	h.	h.	PROPN
fis-1504	243	11	,	,	PUNCT
fis-1504	243	12	modeling	modeling	NOUN
fis-1504	243	13	of	of	ADP
fis-1504	243	14	cyclic	cyclic	ADJ
fis-1504	243	15	racheting	racheting	NOUN
fis-1504	243	16	plasticity	plasticity	NOUN
fis-1504	243	17	,	,	PUNCT
fis-1504	243	18	part	part	NOUN
fis-1504	243	19			PROPN
fis-1504	243	20	:	:	PUNCT
fis-1504	243	21	development	development	NOUN
fis-1504	243	22	of	of	ADP
fis-1504	243	23	constitutive	constitutive	ADJ
fis-1504	243	24	equations	equation	NOUN
fis-1504	243	25	,	,	PUNCT
fis-1504	243	26	journal	journal	NOUN
fis-1504	243	27	of	of	ADP
fis-1504	243	28	applied	apply	VERB
fis-1504	243	29	mechanics	mechanic	NOUN
fis-1504	243	30	,	,	PUNCT
fis-1504	243	31	63	63	NUM
fis-1504	243	32	(	(	PUNCT
fis-1504	243	33	1996	1996	NUM
fis-1504	243	34	)	)	PUNCT
fis-1504	243	35	720	720	NUM
fis-1504	243	36	-	-	SYM
fis-1504	243	37	725	725	NUM
fis-1504	243	38	.	.	PUNCT