id	sid	tid	token	lemma	pos
fis-1316	1	1	microsoft	microsoft	PROPN
fis-1316	1	2	word	word	NOUN
fis-1316	1	3	numero_30_art_20	numero_30_art_20	ADP
fis-1316	1	4	c.	c.	PROPN
fis-1316	1	5	madrigal	madrigal	PROPN
fis-1316	1	6	et	et	PROPN
fis-1316	1	7	alii	alii	PROPN
fis-1316	1	8	,	,	PUNCT
fis-1316	1	9	frattura	frattura	PROPN
fis-1316	1	10	ed	ed	PROPN
fis-1316	1	11	integrità	integrità	PROPN
fis-1316	1	12	strutturale	strutturale	PROPN
fis-1316	1	13	,	,	PUNCT
fis-1316	1	14	30	30	NUM
fis-1316	1	15	(	(	PUNCT
fis-1316	1	16	2014	2014	NUM
fis-1316	1	17	)	)	PUNCT
fis-1316	1	18	163	163	NUM
fis-1316	1	19	-	-	SYM
fis-1316	1	20	161	161	NUM
fis-1316	1	21	;	;	PUNCT
fis-1316	1	22	doi	doi	NOUN
fis-1316	1	23	:	:	PUNCT
fis-1316	1	24	10.3221	10.3221	NUM
fis-1316	1	25	/	/	SYM
fis-1316	1	26	igf	igf	PROPN
fis-1316	1	27	-	-	PROPN
fis-1316	1	28	esis.30.20	esis.30.20	NOUN
fis-1316	1	29	153	153	NUM
fis-1316	1	30	focussed	focusse	VERB
fis-1316	1	31	on	on	ADP
fis-1316	1	32	:	:	PUNCT
fis-1316	1	33	fracture	fracture	ADJ
fis-1316	1	34	and	and	CCONJ
fis-1316	1	35	structural	structural	ADJ
fis-1316	1	36	integrity	integrity	NOUN
fis-1316	1	37	related	relate	VERB
fis-1316	1	38	issues	issue	NOUN
fis-1316	1	39	numerical	numerical	ADJ
fis-1316	1	40	implementation	implementation	NOUN
fis-1316	1	41	of	of	ADP
fis-1316	1	42	a	a	DET
fis-1316	1	43	multiaxial	multiaxial	ADJ
fis-1316	1	44	cyclic	cyclic	NOUN
fis-1316	1	45	plasticity	plasticity	NOUN
fis-1316	1	46	model	model	NOUN
fis-1316	1	47	for	for	ADP
fis-1316	1	48	the	the	DET
fis-1316	1	49	local	local	ADJ
fis-1316	1	50	strain	strain	NOUN
fis-1316	1	51	method	method	NOUN
fis-1316	1	52	in	in	ADP
fis-1316	1	53	low	low	ADJ
fis-1316	1	54	cycle	cycle	NOUN
fis-1316	1	55	fatigue	fatigue	NOUN
fis-1316	1	56	c.	c.	PROPN
fis-1316	1	57	madrigal	madrigal	PROPN
fis-1316	1	58	,	,	PUNCT
fis-1316	1	59	v.	v.	PROPN
fis-1316	1	60	chaves	chave	NOUN
fis-1316	1	61	,	,	PUNCT
fis-1316	1	62	a.	a.	PROPN
fis-1316	1	63	navarro	navarro	PROPN
fis-1316	1	64	university	university	PROPN
fis-1316	1	65	of	of	ADP
fis-1316	1	66	seville	seville	PROPN
fis-1316	1	67	,	,	PUNCT
fis-1316	1	68	dpto	dpto	PROPN
fis-1316	1	69	.	.	PUNCT
fis-1316	2	1	ing	ing	ADJ
fis-1316	2	2	.	.	PUNCT
fis-1316	3	1	mecánica	mecánica	PROPN
fis-1316	3	2	y	y	PROPN
fis-1316	3	3	fabricación	fabricación	PROPN
fis-1316	3	4	,	,	PUNCT
fis-1316	3	5	escuela	escuela	PROPN
fis-1316	3	6	técnica	técnica	PROPN
fis-1316	3	7	superior	superior	PROPN
fis-1316	3	8	de	de	PROPN
fis-1316	3	9	ingeniería	ingeniería	PROPN
fis-1316	3	10	.	.	PUNCT
fis-1316	3	11	avda	avda	PROPN
fis-1316	3	12	.	.	PUNCT
fis-1316	4	1	camino	camino	PROPN
fis-1316	4	2	de	de	PROPN
fis-1316	4	3	los	los	PROPN
fis-1316	4	4	descubrimientos	descubrimientos	PROPN
fis-1316	4	5	,	,	PUNCT
fis-1316	4	6	s	s	X
fis-1316	4	7	/	/	SYM
fis-1316	4	8	n.	n.	NOUN
fis-1316	4	9	41092	41092	NUM
fis-1316	4	10	.	.	PUNCT
fis-1316	5	1	seville	seville	NOUN
fis-1316	5	2	.	.	PUNCT
fis-1316	6	1	cmadrigal@us.es	cmadrigal@us.es	PROPN
fis-1316	6	2	abstract	abstract	PROPN
fis-1316	6	3	.	.	PUNCT
fis-1316	7	1	very	very	ADV
fis-1316	7	2	often	often	ADV
fis-1316	7	3	computations	computation	NOUN
fis-1316	7	4	on	on	ADP
fis-1316	7	5	structural	structural	ADJ
fis-1316	7	6	elements	element	NOUN
fis-1316	7	7	or	or	CCONJ
fis-1316	7	8	machine	machine	NOUN
fis-1316	7	9	components	component	NOUN
fis-1316	7	10	subjected	subject	VERB
fis-1316	7	11	to	to	ADP
fis-1316	7	12	variable	variable	ADJ
fis-1316	7	13	loading	loading	NOUN
fis-1316	7	14	require	require	NOUN
fis-1316	7	15	using	use	VERB
fis-1316	7	16	an	an	DET
fis-1316	7	17	advanced	advanced	ADJ
fis-1316	7	18	finite	finite	ADJ
fis-1316	7	19	element	element	NOUN
fis-1316	7	20	model	model	NOUN
fis-1316	7	21	.	.	PUNCT
fis-1316	8	1	this	this	DET
fis-1316	8	2	paper	paper	NOUN
fis-1316	8	3	reports	report	VERB
fis-1316	8	4	the	the	DET
fis-1316	8	5	numerical	numerical	ADJ
fis-1316	8	6	implementation	implementation	NOUN
fis-1316	8	7	of	of	ADP
fis-1316	8	8	a	a	DET
fis-1316	8	9	model	model	NOUN
fis-1316	8	10	for	for	ADP
fis-1316	8	11	multiaxial	multiaxial	ADJ
fis-1316	8	12	cyclic	cyclic	ADJ
fis-1316	8	13	elasticplastic	elasticplastic	ADJ
fis-1316	8	14	behaviour	behaviour	NOUN
fis-1316	8	15	developed	develop	VERB
fis-1316	8	16	to	to	PART
fis-1316	8	17	extend	extend	VERB
fis-1316	8	18	the	the	DET
fis-1316	8	19	tools	tool	NOUN
fis-1316	8	20	of	of	ADP
fis-1316	8	21	the	the	DET
fis-1316	8	22	local	local	ADJ
fis-1316	8	23	deformation	deformation	NOUN
fis-1316	8	24	method	method	NOUN
fis-1316	8	25	under	under	ADP
fis-1316	8	26	fatigue	fatigue	NOUN
fis-1316	8	27	to	to	ADP
fis-1316	8	28	multiaxial	multiaxial	ADJ
fis-1316	8	29	conditions	condition	NOUN
fis-1316	8	30	.	.	PUNCT
fis-1316	9	1	a	a	DET
fis-1316	9	2	basic	basic	ADJ
fis-1316	9	3	computer	computer	NOUN
fis-1316	9	4	code	code	NOUN
fis-1316	9	5	for	for	ADP
fis-1316	9	6	axialtorsional	axialtorsional	ADJ
fis-1316	9	7	loads	load	NOUN
fis-1316	9	8	was	be	AUX
fis-1316	9	9	developed	develop	VERB
fis-1316	9	10	with	with	ADP
fis-1316	9	11	the	the	DET
fis-1316	9	12	commercial	commercial	ADJ
fis-1316	9	13	software	software	NOUN
fis-1316	9	14	matlab	matlab	PROPN
fis-1316	9	15	and	and	CCONJ
fis-1316	9	16	a	a	DET
fis-1316	9	17	more	more	ADV
fis-1316	9	18	sophisticated	sophisticated	ADJ
fis-1316	9	19	code	code	NOUN
fis-1316	9	20	based	base	VERB
fis-1316	9	21	on	on	ADP
fis-1316	9	22	the	the	DET
fis-1316	9	23	finite	finite	PROPN
fis-1316	9	24	element	element	NOUN
fis-1316	9	25	model	model	NOUN
fis-1316	9	26	for	for	ADP
fis-1316	9	27	general	general	ADJ
fis-1316	9	28	multiaxial	multiaxial	ADJ
fis-1316	9	29	loads	load	NOUN
fis-1316	9	30	was	be	AUX
fis-1316	9	31	developed	develop	VERB
fis-1316	9	32	as	as	ADP
fis-1316	9	33	a	a	DET
fis-1316	9	34	umat	umat	ADJ
fis-1316	9	35	subroutine	subroutine	NOUN
fis-1316	9	36	in	in	ADP
fis-1316	9	37	abaqus	abaqus	PROPN
fis-1316	9	38	.	.	PUNCT
fis-1316	10	1	stress	stress	NOUN
fis-1316	10	2	integration	integration	NOUN
fis-1316	10	3	was	be	AUX
fis-1316	10	4	introduced	introduce	VERB
fis-1316	10	5	in	in	ADP
fis-1316	10	6	the	the	DET
fis-1316	10	7	two	two	NUM
fis-1316	10	8	usual	usual	ADJ
fis-1316	10	9	forms	form	NOUN
fis-1316	10	10	:	:	PUNCT
fis-1316	10	11	implicitly	implicitly	ADV
fis-1316	10	12	and	and	CCONJ
fis-1316	10	13	explicitly	explicitly	ADV
fis-1316	10	14	.	.	PUNCT
fis-1316	11	1	a	a	DET
fis-1316	11	2	comparison	comparison	NOUN
fis-1316	11	3	of	of	ADP
fis-1316	11	4	the	the	DET
fis-1316	11	5	results	result	NOUN
fis-1316	11	6	obtained	obtain	VERB
fis-1316	11	7	with	with	ADP
fis-1316	11	8	the	the	DET
fis-1316	11	9	implicit	implicit	ADJ
fis-1316	11	10	and	and	CCONJ
fis-1316	11	11	explicit	explicit	ADJ
fis-1316	11	12	formulations	formulation	NOUN
fis-1316	11	13	revealed	reveal	VERB
fis-1316	11	14	that	that	SCONJ
fis-1316	11	15	,	,	PUNCT
fis-1316	11	16	under	under	ADP
fis-1316	11	17	certain	certain	ADJ
fis-1316	11	18	loading	loading	NOUN
fis-1316	11	19	conditions	condition	NOUN
fis-1316	11	20	,	,	PUNCT
fis-1316	11	21	the	the	DET
fis-1316	11	22	outcome	outcome	NOUN
fis-1316	11	23	of	of	ADP
fis-1316	11	24	the	the	DET
fis-1316	11	25	process	process	NOUN
fis-1316	11	26	depends	depend	VERB
fis-1316	11	27	on	on	ADP
fis-1316	11	28	the	the	DET
fis-1316	11	29	particular	particular	ADJ
fis-1316	11	30	integration	integration	NOUN
fis-1316	11	31	scheme	scheme	NOUN
fis-1316	11	32	used	use	VERB
fis-1316	11	33	.	.	PUNCT
fis-1316	12	1	keywords	keyword	NOUN
fis-1316	12	2	.	.	PUNCT
fis-1316	13	1	cyclic	cyclic	ADJ
fis-1316	13	2	plasticity	plasticity	NOUN
fis-1316	13	3	;	;	PUNCT
fis-1316	13	4	numerical	numerical	ADJ
fis-1316	13	5	implementation	implementation	NOUN
fis-1316	13	6	;	;	PUNCT
fis-1316	13	7	multiaxial	multiaxial	ADJ
fis-1316	13	8	fatigue	fatigue	NOUN
fis-1316	13	9	;	;	PUNCT
fis-1316	13	10	umat	umat	ADJ
fis-1316	13	11	user	user	NOUN
fis-1316	13	12	subroutine	subroutine	NOUN
fis-1316	13	13	.	.	PUNCT
fis-1316	14	1	introduction	introduction	NOUN
fis-1316	14	2	he	he	PRON
fis-1316	14	3	cyclic	cyclic	ADJ
fis-1316	14	4	plastic	plastic	NOUN
fis-1316	14	5	behaviour	behaviour	NOUN
fis-1316	14	6	of	of	ADP
fis-1316	14	7	some	some	DET
fis-1316	14	8	materials	material	NOUN
fis-1316	14	9	can	can	AUX
fis-1316	14	10	be	be	AUX
fis-1316	14	11	defined	define	VERB
fis-1316	14	12	via	via	ADP
fis-1316	14	13	so	so	ADV
fis-1316	14	14	-	-	PUNCT
fis-1316	14	15	called	call	VERB
fis-1316	14	16	“	"	PUNCT
fis-1316	14	17	cyclic	cyclic	ADJ
fis-1316	14	18	stress	stress	NOUN
fis-1316	14	19	-	-	PUNCT
fis-1316	14	20	strain	strain	NOUN
fis-1316	14	21	curves	curve	NOUN
fis-1316	14	22	”	"	PUNCT
fis-1316	14	23	,	,	PUNCT
fis-1316	14	24	which	which	PRON
fis-1316	14	25	are	be	AUX
fis-1316	14	26	widely	widely	ADV
fis-1316	14	27	used	use	VERB
fis-1316	14	28	in	in	ADP
fis-1316	14	29	fatigue	fatigue	NOUN
fis-1316	14	30	studies	study	NOUN
fis-1316	14	31	to	to	PART
fis-1316	14	32	introduce	introduce	VERB
fis-1316	14	33	steady	steady	ADJ
fis-1316	14	34	-	-	PUNCT
fis-1316	14	35	state	state	NOUN
fis-1316	14	36	cyclic	cyclic	ADJ
fis-1316	14	37	behaviour	behaviour	NOUN
fis-1316	14	38	in	in	ADP
fis-1316	14	39	computations	computation	NOUN
fis-1316	14	40	of	of	ADP
fis-1316	14	41	fatigue	fatigue	NOUN
fis-1316	14	42	life	life	NOUN
fis-1316	14	43	at	at	ADP
fis-1316	14	44	small	small	ADJ
fis-1316	14	45	numbers	number	NOUN
fis-1316	14	46	of	of	ADP
fis-1316	14	47	cycles	cycle	NOUN
fis-1316	14	48	in	in	ADP
fis-1316	14	49	the	the	DET
fis-1316	14	50	local	local	ADJ
fis-1316	14	51	strain	strain	NOUN
fis-1316	14	52	method	method	NOUN
fis-1316	15	1	[	[	X
fis-1316	15	2	1–3	1–3	NOUN
fis-1316	15	3	]	]	PUNCT
fis-1316	15	4	.	.	PUNCT
fis-1316	16	1	using	use	VERB
fis-1316	16	2	cyclic	cyclic	ADJ
fis-1316	16	3	stress	stress	NOUN
fis-1316	16	4	-	-	PUNCT
fis-1316	16	5	strain	strain	NOUN
fis-1316	16	6	curves	curve	NOUN
fis-1316	16	7	in	in	ADP
fis-1316	16	8	combination	combination	NOUN
fis-1316	16	9	with	with	ADP
fis-1316	16	10	hysteresis	hysteresis	NOUN
fis-1316	16	11	cycles	cycle	NOUN
fis-1316	16	12	,	,	PUNCT
fis-1316	16	13	neuber	neuber	PROPN
fis-1316	16	14	’s	’s	PART
fis-1316	16	15	rule	rule	NOUN
fis-1316	16	16	,	,	PUNCT
fis-1316	16	17	memory	memory	NOUN
fis-1316	16	18	rule	rule	NOUN
fis-1316	16	19	and	and	CCONJ
fis-1316	16	20	n	n	ADJ
fis-1316	16	21			NOUN
fis-1316	16	22	curves	curve	NOUN
fis-1316	16	23	allows	allow	VERB
fis-1316	16	24	one	one	NUM
fis-1316	16	25	to	to	PART
fis-1316	16	26	calculate	calculate	VERB
fis-1316	16	27	local	local	ADJ
fis-1316	16	28	stresses	stress	NOUN
fis-1316	16	29	and	and	CCONJ
fis-1316	16	30	strains	strain	VERB
fis-1316	16	31	at	at	ADP
fis-1316	16	32	the	the	DET
fis-1316	16	33	edge	edge	NOUN
fis-1316	16	34	of	of	ADP
fis-1316	16	35	a	a	DET
fis-1316	16	36	notch	notch	NOUN
fis-1316	16	37	and	and	CCONJ
fis-1316	16	38	lives	live	VERB
fis-1316	16	39	under	under	ADP
fis-1316	16	40	uniaxial	uniaxial	ADJ
fis-1316	16	41	loading	loading	NOUN
fis-1316	16	42	.	.	PUNCT
fis-1316	17	1	this	this	PRON
fis-1316	17	2	is	be	AUX
fis-1316	17	3	in	in	ADP
fis-1316	17	4	fact	fact	NOUN
fis-1316	17	5	the	the	DET
fis-1316	17	6	procedure	procedure	NOUN
fis-1316	17	7	of	of	ADP
fis-1316	17	8	choice	choice	NOUN
fis-1316	17	9	for	for	ADP
fis-1316	17	10	a	a	DET
fis-1316	17	11	number	number	NOUN
fis-1316	17	12	of	of	ADP
fis-1316	17	13	sectors	sector	NOUN
fis-1316	17	14	in	in	ADP
fis-1316	17	15	the	the	DET
fis-1316	17	16	automobile	automobile	NOUN
fis-1316	17	17	,	,	PUNCT
fis-1316	17	18	aeronautical	aeronautical	NOUN
fis-1316	17	19	and	and	CCONJ
fis-1316	17	20	aerospatial	aerospatial	ADJ
fis-1316	17	21	industries	industry	NOUN
fis-1316	17	22	.	.	PUNCT
fis-1316	18	1	in	in	ADP
fis-1316	18	2	previous	previous	ADJ
fis-1316	18	3	work	work	NOUN
fis-1316	18	4	[	[	X
fis-1316	18	5	4–8	4–8	NOUN
fis-1316	18	6	]	]	X
fis-1316	18	7	,	,	PUNCT
fis-1316	18	8	we	we	PRON
fis-1316	18	9	developed	develop	VERB
fis-1316	18	10	a	a	DET
fis-1316	18	11	plasticity	plasticity	NOUN
fis-1316	18	12	model	model	NOUN
fis-1316	18	13	to	to	PART
fis-1316	18	14	simulate	simulate	VERB
fis-1316	18	15	the	the	DET
fis-1316	18	16	behaviour	behaviour	NOUN
fis-1316	18	17	of	of	ADP
fis-1316	18	18	materials	material	NOUN
fis-1316	18	19	under	under	ADP
fis-1316	18	20	multiaxial	multiaxial	ADJ
fis-1316	18	21	loads	load	NOUN
fis-1316	18	22	from	from	ADP
fis-1316	18	23	cyclic	cyclic	ADJ
fis-1316	18	24	stress	stress	NOUN
fis-1316	18	25	-	-	PUNCT
fis-1316	18	26	strain	strain	NOUN
fis-1316	18	27	curves	curve	NOUN
fis-1316	18	28	obtained	obtain	VERB
fis-1316	18	29	in	in	ADP
fis-1316	18	30	uniaxial	uniaxial	ADJ
fis-1316	18	31	loading	loading	NOUN
fis-1316	18	32	tests	test	NOUN
fis-1316	18	33	with	with	ADP
fis-1316	18	34	a	a	DET
fis-1316	18	35	view	view	NOUN
fis-1316	18	36	to	to	ADP
fis-1316	18	37	extending	extend	VERB
fis-1316	18	38	the	the	DET
fis-1316	18	39	applicability	applicability	NOUN
fis-1316	18	40	of	of	ADP
fis-1316	18	41	the	the	DET
fis-1316	18	42	local	local	ADJ
fis-1316	18	43	strain	strain	NOUN
fis-1316	18	44	method	method	NOUN
fis-1316	18	45	to	to	ADP
fis-1316	18	46	multiaxial	multiaxial	ADJ
fis-1316	18	47	loading	loading	NOUN
fis-1316	18	48	.	.	PUNCT
fis-1316	19	1	this	this	DET
fis-1316	19	2	computational	computational	ADJ
fis-1316	19	3	procedure	procedure	NOUN
fis-1316	19	4	for	for	ADP
fis-1316	19	5	fatigue	fatigue	NOUN
fis-1316	19	6	life	life	NOUN
fis-1316	19	7	is	be	AUX
fis-1316	19	8	included	include	VERB
fis-1316	19	9	in	in	ADP
fis-1316	19	10	some	some	DET
fis-1316	19	11	commercial	commercial	ADJ
fis-1316	19	12	software	software	NOUN
fis-1316	19	13	packages	package	NOUN
fis-1316	19	14	.	.	PUNCT
fis-1316	20	1	in	in	ADP
fis-1316	20	2	fact	fact	NOUN
fis-1316	20	3	,	,	PUNCT
fis-1316	20	4	any	any	DET
fis-1316	20	5	custom	custom	NOUN
fis-1316	20	6	model	model	NOUN
fis-1316	20	7	to	to	PART
fis-1316	20	8	be	be	AUX
fis-1316	20	9	used	use	VERB
fis-1316	20	10	for	for	ADP
fis-1316	20	11	this	this	DET
fis-1316	20	12	purpose	purpose	NOUN
fis-1316	20	13	should	should	AUX
fis-1316	20	14	run	run	VERB
fis-1316	20	15	in	in	ADP
fis-1316	20	16	at	at	ADV
fis-1316	20	17	least	least	ADV
fis-1316	20	18	one	one	NUM
fis-1316	20	19	.	.	PUNCT
fis-1316	21	1	also	also	ADV
fis-1316	21	2	,	,	PUNCT
fis-1316	21	3	validating	validate	VERB
fis-1316	21	4	a	a	DET
fis-1316	21	5	mathematical	mathematical	ADJ
fis-1316	21	6	model	model	NOUN
fis-1316	21	7	for	for	ADP
fis-1316	21	8	fatigue	fatigue	NOUN
fis-1316	21	9	life	life	NOUN
fis-1316	21	10	entails	entail	VERB
fis-1316	21	11	performing	perform	VERB
fis-1316	21	12	numerical	numerical	ADJ
fis-1316	21	13	simulations	simulation	NOUN
fis-1316	21	14	for	for	ADP
fis-1316	21	15	comparison	comparison	NOUN
fis-1316	21	16	with	with	ADP
fis-1316	21	17	experimental	experimental	ADJ
fis-1316	21	18	results	result	NOUN
fis-1316	21	19	in	in	ADP
fis-1316	21	20	order	order	NOUN
fis-1316	21	21	to	to	PART
fis-1316	21	22	define	define	VERB
fis-1316	21	23	the	the	DET
fis-1316	21	24	scope	scope	NOUN
fis-1316	21	25	of	of	ADP
fis-1316	21	26	the	the	DET
fis-1316	21	27	model	model	NOUN
fis-1316	21	28	.	.	PUNCT
fis-1316	22	1	for	for	ADP
fis-1316	22	2	these	these	DET
fis-1316	22	3	reasons	reason	NOUN
fis-1316	22	4	,	,	PUNCT
fis-1316	22	5	in	in	ADP
fis-1316	22	6	this	this	DET
fis-1316	22	7	work	work	NOUN
fis-1316	22	8	we	we	PRON
fis-1316	22	9	implemented	implement	VERB
fis-1316	22	10	the	the	DET
fis-1316	22	11	proposed	propose	VERB
fis-1316	22	12	model	model	NOUN
fis-1316	22	13	in	in	ADP
fis-1316	22	14	two	two	NUM
fis-1316	22	15	different	different	ADJ
fis-1316	22	16	commercial	commercial	ADJ
fis-1316	22	17	software	software	NOUN
fis-1316	22	18	packages	package	NOUN
fis-1316	22	19	,	,	PUNCT
fis-1316	22	20	namely	namely	ADV
fis-1316	22	21	:	:	PUNCT
fis-1316	22	22	matlab	matlab	PROPN
fis-1316	22	23	,	,	PUNCT
fis-1316	22	24	which	which	PRON
fis-1316	22	25	is	be	AUX
fis-1316	22	26	useful	useful	ADJ
fis-1316	22	27	for	for	ADP
fis-1316	22	28	computations	computation	NOUN
fis-1316	22	29	at	at	ADP
fis-1316	22	30	specific	specific	ADJ
fis-1316	22	31	points	point	NOUN
fis-1316	22	32	under	under	ADP
fis-1316	22	33	combined	combined	ADJ
fis-1316	22	34	tensile	tensile	ADJ
fis-1316	22	35	–	–	PUNCT
fis-1316	22	36	torsional	torsional	ADJ
fis-1316	22	37	loads	load	NOUN
fis-1316	22	38	,	,	PUNCT
fis-1316	22	39	and	and	CCONJ
fis-1316	22	40	abaqus	abaqus	NOUN
fis-1316	22	41	/	/	SYM
fis-1316	22	42	standard	standard	NOUN
fis-1316	22	43	,	,	PUNCT
fis-1316	22	44	which	which	PRON
fis-1316	22	45	was	be	AUX
fis-1316	22	46	used	use	VERB
fis-1316	22	47	to	to	PART
fis-1316	22	48	produce	produce	VERB
fis-1316	22	49	a	a	DET
fis-1316	22	50	umat	umat	ADJ
fis-1316	22	51	subroutine	subroutine	NOUN
fis-1316	22	52	for	for	ADP
fis-1316	22	53	whole	whole	ADJ
fis-1316	22	54	elements	element	NOUN
fis-1316	22	55	under	under	ADP
fis-1316	22	56	general	general	ADJ
fis-1316	22	57	multiaxial	multiaxial	ADJ
fis-1316	22	58	loads	load	NOUN
fis-1316	22	59	.	.	PUNCT
fis-1316	23	1	t	t	PROPN
fis-1316	23	2	c.	c.	PROPN
fis-1316	23	3	madrigal	madrigal	PROPN
fis-1316	23	4	et	et	PROPN
fis-1316	23	5	alii	alii	PROPN
fis-1316	23	6	,	,	PUNCT
fis-1316	23	7	frattura	frattura	PROPN
fis-1316	23	8	ed	ed	PROPN
fis-1316	23	9	integrità	integrità	PROPN
fis-1316	23	10	strutturale	strutturale	PROPN
fis-1316	23	11	,	,	PUNCT
fis-1316	23	12	30	30	NUM
fis-1316	23	13	(	(	PUNCT
fis-1316	23	14	2014	2014	NUM
fis-1316	23	15	)	)	PUNCT
fis-1316	23	16	163	163	NUM
fis-1316	23	17	-	-	SYM
fis-1316	23	18	161	161	NUM
fis-1316	23	19	;	;	PUNCT
fis-1316	23	20	doi	doi	NOUN
fis-1316	23	21	:	:	PUNCT
fis-1316	23	22	10.3221	10.3221	NUM
fis-1316	23	23	/	/	SYM
fis-1316	23	24	igf	igf	PROPN
fis-1316	23	25	-	-	ADJ
fis-1316	23	26	esis.30.20	esis.30.20	PROPN
fis-1316	23	27	154	154	NUM
fis-1316	23	28	model	model	NOUN
fis-1316	23	29	he	he	PRON
fis-1316	23	30	stress	stress	NOUN
fis-1316	23	31	tensor	tensor	NOUN
fis-1316	23	32	is	be	AUX
fis-1316	23	33	represented	represent	VERB
fis-1316	23	34	by	by	ADP
fis-1316	23	35	a	a	DET
fis-1316	23	36	point	point	NOUN
fis-1316	23	37	in	in	ADP
fis-1316	23	38	the	the	DET
fis-1316	23	39	stress	stress	NOUN
fis-1316	23	40	space	space	NOUN
fis-1316	23	41	.	.	PUNCT
fis-1316	24	1	applying	apply	VERB
fis-1316	24	2	a	a	DET
fis-1316	24	3	load	load	NOUN
fis-1316	24	4	causes	cause	VERB
fis-1316	24	5	the	the	DET
fis-1316	24	6	point	point	NOUN
fis-1316	24	7	to	to	PART
fis-1316	24	8	move	move	VERB
fis-1316	24	9	to	to	ADP
fis-1316	24	10	another	another	DET
fis-1316	24	11	location	location	NOUN
fis-1316	24	12	in	in	ADP
fis-1316	24	13	the	the	DET
fis-1316	24	14	space	space	NOUN
fis-1316	24	15	.	.	PUNCT
fis-1316	25	1	the	the	DET
fis-1316	25	2	proposed	propose	VERB
fis-1316	25	3	model	model	NOUN
fis-1316	25	4	assumes	assume	VERB
fis-1316	25	5	that	that	SCONJ
fis-1316	25	6	the	the	DET
fis-1316	25	7	plastic	plastic	ADJ
fis-1316	25	8	strain	strain	NOUN
fis-1316	25	9	caused	cause	VERB
fis-1316	25	10	by	by	ADP
fis-1316	25	11	the	the	DET
fis-1316	25	12	applied	apply	VERB
fis-1316	25	13	load	load	NOUN
fis-1316	25	14	depends	depend	VERB
fis-1316	25	15	on	on	ADP
fis-1316	25	16	the	the	DET
fis-1316	25	17	distance	distance	NOUN
fis-1316	25	18	between	between	ADP
fis-1316	25	19	the	the	DET
fis-1316	25	20	starting	starting	NOUN
fis-1316	25	21	and	and	CCONJ
fis-1316	25	22	ending	end	VERB
fis-1316	25	23	point	point	NOUN
fis-1316	25	24	in	in	ADP
fis-1316	25	25	the	the	DET
fis-1316	25	26	stress	stress	NOUN
fis-1316	25	27	space	space	NOUN
fis-1316	25	28	.	.	PUNCT
fis-1316	26	1	if	if	SCONJ
fis-1316	26	2	a	a	DET
fis-1316	26	3	load	load	NOUN
fis-1316	26	4	-	-	PUNCT
fis-1316	26	5	free	free	ADJ
fis-1316	26	6	initial	initial	ADJ
fis-1316	26	7	state	state	NOUN
fis-1316	26	8	(	(	PUNCT
fis-1316	26	9	i.e.	i.e.	X
fis-1316	26	10	,	,	PUNCT
fis-1316	26	11	the	the	DET
fis-1316	26	12	space	space	NOUN
fis-1316	26	13	origin	origin	NOUN
fis-1316	26	14	)	)	PUNCT
fis-1316	26	15	is	be	AUX
fis-1316	26	16	assumed	assume	VERB
fis-1316	26	17	,	,	PUNCT
fis-1316	26	18	then	then	ADV
fis-1316	26	19	application	application	NOUN
fis-1316	26	20	of	of	ADP
fis-1316	26	21	a	a	DET
fis-1316	26	22	load	load	NOUN
fis-1316	26	23	at	at	ADP
fis-1316	26	24	a	a	DET
fis-1316	26	25	given	give	VERB
fis-1316	26	26	point	point	NOUN
fis-1316	26	27	will	will	AUX
fis-1316	26	28	result	result	VERB
fis-1316	26	29	in	in	ADP
fis-1316	26	30	the	the	DET
fis-1316	26	31	point	point	NOUN
fis-1316	26	32	being	be	AUX
fis-1316	26	33	displaced	displace	VERB
fis-1316	26	34	and	and	CCONJ
fis-1316	26	35	in	in	ADP
fis-1316	26	36	the	the	DET
fis-1316	26	37	distance	distance	NOUN
fis-1316	26	38	from	from	ADP
fis-1316	26	39	the	the	DET
fis-1316	26	40	origin	origin	NOUN
fis-1316	26	41	dictating	dictate	VERB
fis-1316	26	42	the	the	DET
fis-1316	26	43	beginning	beginning	NOUN
fis-1316	26	44	of	of	ADP
fis-1316	26	45	plastic	plastic	ADJ
fis-1316	26	46	behaviour	behaviour	NOUN
fis-1316	26	47	.	.	PUNCT
fis-1316	27	1	thus	thus	ADV
fis-1316	27	2	,	,	PUNCT
fis-1316	27	3	the	the	DET
fis-1316	27	4	yield	yield	NOUN
fis-1316	27	5	criterion	criterion	NOUN
fis-1316	27	6	establishes	establish	VERB
fis-1316	27	7	that	that	SCONJ
fis-1316	27	8	plastic	plastic	NOUN
fis-1316	27	9	behaviour	behaviour	NOUN
fis-1316	27	10	starts	start	VERB
fis-1316	27	11	when	when	SCONJ
fis-1316	27	12	the	the	DET
fis-1316	27	13	distance	distance	NOUN
fis-1316	27	14	q	q	NOUN
fis-1316	27	15	reaches	reach	VERB
fis-1316	27	16	a	a	DET
fis-1316	27	17	value	value	NOUN
fis-1316	27	18	 	 	SPACE
fis-1316	27	19	k	k	PROPN
fis-1316	27	20	,	,	PUNCT
fis-1316	27	21	which	which	PRON
fis-1316	27	22	is	be	AUX
fis-1316	27	23	a	a	DET
fis-1316	27	24	property	property	NOUN
fis-1316	27	25	of	of	ADP
fis-1316	27	26	the	the	DET
fis-1316	27	27	material	material	NOUN
fis-1316	27	28	dependent	dependent	ADJ
fis-1316	27	29	on	on	ADP
fis-1316	27	30	its	its	PRON
fis-1316	27	31	extent	extent	NOUN
fis-1316	27	32	of	of	ADP
fis-1316	27	33	cumulative	cumulative	ADJ
fis-1316	27	34	hardening	hardening	NOUN
fis-1316	27	35	.	.	PUNCT
fis-1316	28	1	q	q	PUNCT
fis-1316	28	2	is	be	AUX
fis-1316	28	3	calculated	calculate	VERB
fis-1316	28	4	from	from	ADP
fis-1316	28	5	the	the	DET
fis-1316	28	6	following	follow	VERB
fis-1316	28	7	equation	equation	NOUN
fis-1316	28	8	:	:	PUNCT
fis-1316	28	9	i	i	PROPN
fis-1316	28	10	j	j	PROPN
fis-1316	28	11	ijq	ijq	VERB
fis-1316	28	12	g	g	PROPN
fis-1316	28	13	k	k	PROPN
fis-1316	28	14			PROPN
fis-1316	28	15			PROPN
fis-1316	28	16	σ	σ	NOUN
fis-1316	28	17	(	(	PUNCT
fis-1316	28	18	1	1	X
fis-1316	28	19	)	)	PUNCT
fis-1316	28	20	where	where	SCONJ
fis-1316	28	21	ijg	ijg	NOUN
fis-1316	28	22	are	be	AUX
fis-1316	28	23	the	the	DET
fis-1316	28	24	components	component	NOUN
fis-1316	28	25	of	of	ADP
fis-1316	28	26	the	the	DET
fis-1316	28	27	fundamental	fundamental	ADJ
fis-1316	28	28	or	or	CCONJ
fis-1316	28	29	metric	metric	ADJ
fis-1316	28	30	tensor	tensor	NOUN
fis-1316	28	31	g	g	NOUN
fis-1316	28	32	in	in	ADP
fis-1316	28	33	the	the	DET
fis-1316	28	34	stress	stress	NOUN
fis-1316	28	35	space	space	NOUN
fis-1316	28	36	.	.	PUNCT
fis-1316	29	1	this	this	DET
fis-1316	29	2	formula	formula	NOUN
fis-1316	29	3	contains	contain	VERB
fis-1316	29	4	einstein	einstein	PROPN
fis-1316	29	5	’s	’s	PART
fis-1316	29	6	summation	summation	PROPN
fis-1316	29	7	convention	convention	NOUN
fis-1316	29	8	and	and	CCONJ
fis-1316	29	9	can	can	AUX
fis-1316	29	10	be	be	AUX
fis-1316	29	11	rewritten	rewrite	VERB
fis-1316	29	12	in	in	ADP
fis-1316	29	13	the	the	DET
fis-1316	29	14	form	form	NOUN
fis-1316	29	15	of	of	ADP
fis-1316	29	16	a	a	DET
fis-1316	29	17	pseudo	pseudo	NOUN
fis-1316	29	18	-	-	NOUN
fis-1316	29	19	vector	vector	NOUN
fis-1316	29	20	with	with	ADP
fis-1316	29	21	the	the	DET
fis-1316	29	22	following	follow	VERB
fis-1316	29	23	components	component	NOUN
fis-1316	29	24	:	:	PUNCT
fis-1316	29	25	1	1	NUM
fis-1316	29	26	       	       	SPACE
fis-1316	29	27	2	2	NUM
fis-1316	29	28	       	       	SPACE
fis-1316	29	29	3	3	NUM
fis-1316	29	30	       	       	SPACE
fis-1316	29	31	4	4	NUM
fis-1316	29	32	       	       	SPACE
fis-1316	29	33	5	5	NUM
fis-1316	29	34	  	  	SPACE
fis-1316	29	35	6	6	NUM
fis-1316	29	36	         	         	SPACE
fis-1316	29	37	7	7	NUM
fis-1316	29	38	         	         	SPACE
fis-1316	29	39	8	8	NUM
fis-1316	29	40	         	         	SPACE
fis-1316	29	41	9	9	NUM
fis-1316	29	42	      	      	SPACE
fis-1316	29	43	x	x	SYM
fis-1316	30	1	y	y	NOUN
fis-1316	30	2	z	z	NOUN
fis-1316	31	1	xy	xy	PROPN
fis-1316	32	1	yx	yx	INTJ
fis-1316	33	1	yz	yz	INTJ
fis-1316	34	1	zy	zy	PROPN
fis-1316	34	2	zx	zx	PROPN
fis-1316	34	3	xz	xz	PROPN
fis-1316	34	4			PROPN
fis-1316	34	5			X
fis-1316	34	6			NOUN
fis-1316	34	7			NOUN
fis-1316	34	8			NOUN
fis-1316	34	9			NOUN
fis-1316	34	10			NOUN
fis-1316	34	11			NOUN
fis-1316	34	12			ADJ
fis-1316	34	13			PROPN
fis-1316	34	14			PROPN
fis-1316	34	15			PROPN
fis-1316	34	16			PROPN
fis-1316	34	17			PROPN
fis-1316	34	18			PROPN
fis-1316	34	19			PROPN
fis-1316	34	20			PROPN
fis-1316	34	21			NOUN
fis-1316	34	22	(	(	PUNCT
fis-1316	34	23	2	2	NUM
fis-1316	34	24	)	)	PUNCT
fis-1316	34	25	figure	figure	NOUN
fis-1316	34	26	1	1	NUM
fis-1316	34	27	:	:	PUNCT
fis-1316	34	28	successive	successive	ADJ
fis-1316	34	29	unloading	unloading	NOUN
fis-1316	34	30	process	process	NOUN
fis-1316	34	31	.	.	PUNCT
fis-1316	35	1	applying	apply	VERB
fis-1316	35	2	a	a	DET
fis-1316	35	3	load	load	NOUN
fis-1316	35	4	to	to	ADP
fis-1316	35	5	a	a	DET
fis-1316	35	6	load	load	NOUN
fis-1316	35	7	-	-	PUNCT
fis-1316	35	8	free	free	ADJ
fis-1316	35	9	specimen	speciman	NOUN
fis-1316	35	10	causes	cause	VERB
fis-1316	35	11	the	the	DET
fis-1316	35	12	point	point	NOUN
fis-1316	35	13	representing	represent	VERB
fis-1316	35	14	the	the	DET
fis-1316	35	15	stress	stress	NOUN
fis-1316	35	16	state	state	NOUN
fis-1316	35	17	at	at	ADP
fis-1316	35	18	each	each	DET
fis-1316	35	19	time	time	NOUN
fis-1316	35	20	to	to	PART
fis-1316	35	21	move	move	VERB
fis-1316	35	22	from	from	ADP
fis-1316	35	23	the	the	DET
fis-1316	35	24	origin	origin	NOUN
fis-1316	35	25	and	and	CCONJ
fis-1316	35	26	result	result	VERB
fis-1316	35	27	in	in	ADP
fis-1316	35	28	an	an	DET
fis-1316	35	29	elastic	elastic	ADJ
fis-1316	35	30	deformation	deformation	NOUN
fis-1316	35	31	.	.	PUNCT
fis-1316	36	1	the	the	DET
fis-1316	36	2	distance	distance	NOUN
fis-1316	36	3	from	from	ADP
fis-1316	36	4	the	the	DET
fis-1316	36	5	origin	origin	NOUN
fis-1316	36	6	increases	increase	VERB
fis-1316	36	7	with	with	ADP
fis-1316	36	8	increasing	increase	VERB
fis-1316	36	9	loading	loading	NOUN
fis-1316	36	10	until	until	SCONJ
fis-1316	36	11	the	the	DET
fis-1316	36	12	point	point	NOUN
fis-1316	36	13	reaches	reach	VERB
fis-1316	36	14	the	the	DET
fis-1316	36	15	yield	yield	NOUN
fis-1316	36	16	surface	surface	NOUN
fis-1316	36	17	,	,	PUNCT
fis-1316	36	18	which	which	PRON
fis-1316	36	19	is	be	AUX
fis-1316	36	20	a	a	DET
fis-1316	36	21	hypersphere	hypersphere	NOUN
fis-1316	36	22	centred	centre	VERB
fis-1316	36	23	in	in	ADP
fis-1316	36	24	the	the	DET
fis-1316	36	25	origin	origin	NOUN
fis-1316	36	26	.	.	PUNCT
fis-1316	37	1	under	under	ADP
fis-1316	37	2	sustained	sustained	ADJ
fis-1316	37	3	loading	loading	NOUN
fis-1316	37	4	,	,	PUNCT
fis-1316	37	5	the	the	DET
fis-1316	37	6	hypersphere	hypersphere	NOUN
fis-1316	37	7	increases	increase	VERB
fis-1316	37	8	in	in	ADP
fis-1316	37	9	size	size	NOUN
fis-1316	37	10	but	but	CCONJ
fis-1316	37	11	continues	continue	VERB
fis-1316	37	12	to	to	PART
fis-1316	37	13	contain	contain	VERB
fis-1316	37	14	the	the	DET
fis-1316	37	15	load	load	NOUN
fis-1316	37	16	point	point	NOUN
fis-1316	37	17	.	.	PUNCT
fis-1316	38	1	if	if	SCONJ
fis-1316	38	2	the	the	DET
fis-1316	38	3	load	load	NOUN
fis-1316	38	4	is	be	AUX
fis-1316	38	5	removed	remove	VERB
fis-1316	38	6	,	,	PUNCT
fis-1316	38	7	however	however	ADV
fis-1316	38	8	,	,	PUNCT
fis-1316	38	9	the	the	DET
fis-1316	38	10	point	point	NOUN
fis-1316	38	11	approaches	approach	VERB
fis-1316	38	12	the	the	DET
fis-1316	38	13	origin	origin	NOUN
fis-1316	38	14	and	and	CCONJ
fis-1316	38	15	the	the	DET
fis-1316	38	16	previous	previous	ADJ
fis-1316	38	17	equations	equation	NOUN
fis-1316	38	18	are	be	AUX
fis-1316	38	19	inapplicable	inapplicable	ADJ
fis-1316	38	20	as	as	SCONJ
fis-1316	38	21	the	the	DET
fis-1316	38	22	distance	distance	NOUN
fis-1316	38	23	ceases	cease	VERB
fis-1316	38	24	to	to	PART
fis-1316	38	25	be	be	AUX
fis-1316	38	26	measured	measure	VERB
fis-1316	38	27	with	with	ADP
fis-1316	38	28	respect	respect	NOUN
fis-1316	38	29	to	to	ADP
fis-1316	38	30	the	the	DET
fis-1316	38	31	origin	origin	NOUN
fis-1316	38	32	;	;	PUNCT
fis-1316	38	33	also	also	ADV
fis-1316	38	34	,	,	PUNCT
fis-1316	38	35	a	a	DET
fis-1316	38	36	new	new	ADJ
fis-1316	38	37	hypersphere	hypersphere	NOUN
fis-1316	38	38	forms	form	NOUN
fis-1316	38	39	tangentially	tangentially	ADV
fis-1316	38	40	to	to	ADP
fis-1316	38	41	the	the	DET
fis-1316	38	42	previous	previous	ADJ
fis-1316	38	43	one	one	NUM
fis-1316	38	44	at	at	ADP
fis-1316	38	45	the	the	DET
fis-1316	38	46	return	return	NOUN
fis-1316	38	47	point	point	NOUN
fis-1316	38	48	mσ	mσ	INTJ
fis-1316	38	49	(	(	PUNCT
fis-1316	38	50	see	see	VERB
fis-1316	38	51	fig	fig	NOUN
fis-1316	38	52	.	.	PUNCT
fis-1316	39	1	1	1	NUM
fis-1316	39	2	)	)	PUNCT
fis-1316	39	3	,	,	PUNCT
fis-1316	40	1	which	which	PRON
fis-1316	40	2	illustrates	illustrate	VERB
fis-1316	40	3	the	the	DET
fis-1316	40	4	situation	situation	NOUN
fis-1316	40	5	with	with	ADP
fis-1316	40	6	two	two	NUM
fis-1316	40	7	successive	successive	ADJ
fis-1316	40	8	unloading	unloading	NOUN
fis-1316	40	9	events	event	NOUN
fis-1316	40	10	.	.	PUNCT
fis-1316	41	1	the	the	DET
fis-1316	41	2	unloading	unloading	NOUN
fis-1316	41	3	distance	distance	NOUN
fis-1316	41	4	is	be	AUX
fis-1316	41	5	defined	define	VERB
fis-1316	41	6	as	as	ADP
fis-1316	41	7	the	the	DET
fis-1316	41	8	diameter	diameter	NOUN
fis-1316	41	9	q	q	PROPN
fis-1316	41	10	of	of	ADP
fis-1316	41	11	the	the	DET
fis-1316	41	12	new	new	ADJ
fis-1316	41	13	inner	inner	ADJ
fis-1316	41	14	hypersphere	hypersphere	NOUN
fis-1316	41	15	,	,	PUNCT
fis-1316	41	16	which	which	PRON
fis-1316	41	17	is	be	AUX
fis-1316	41	18	calculated	calculate	VERB
fis-1316	41	19	from	from	ADP
fis-1316	41	20			NOUN
fis-1316	41	21			PROPN
fis-1316	41	22			PROPN
fis-1316	41	23			PROPN
fis-1316	41	24			NOUN
fis-1316	42	1			PROPN
fis-1316	42	2	0	0	NUM
fis-1316	42	3	  	  	SPACE
fis-1316	42	4	cos	co	NOUN
fis-1316	42	5	2	2	NUM
fis-1316	43	1	i	i	PRON
fis-1316	43	2	mi	mi	VERB
fis-1316	44	1	i	i	PRON
fis-1316	44	2	mim	mim	PROPN
fis-1316	44	3	cai	cai	PROPN
fis-1316	44	4	mi	mi	PROPN
fis-1316	44	5	cai	cai	PROPN
fis-1316	44	6	mi	mi	PROPN
fis-1316	44	7	q	q	PROPN
fis-1316	44	8	q	q	X
fis-1316	44	9			X
fis-1316	44	10			X
fis-1316	44	11			X
fis-1316	44	12			X
fis-1316	44	13			X
fis-1316	44	14			X
fis-1316	44	15			X
fis-1316	44	16			X
fis-1316	44	17			X
fis-1316	44	18			NOUN
fis-1316	44	19			NUM
fis-1316	44	20			NUM
fis-1316	44	21			PROPN
fis-1316	44	22			PROPN
fis-1316	44	23			PROPN
fis-1316	44	24	σ	σ	PROPN
fis-1316	44	25	σ	σ	PROPN
fis-1316	44	26	(	(	PUNCT
fis-1316	44	27	3	3	NUM
fis-1316	44	28	)	)	PUNCT
fis-1316	44	29	where	where	SCONJ
fis-1316	44	30	mσ	mσ	PROPN
fis-1316	44	31	is	be	AUX
fis-1316	44	32	the	the	DET
fis-1316	44	33	return	return	NOUN
fis-1316	44	34	point	point	NOUN
fis-1316	44	35	,	,	PUNCT
fis-1316	44	36	caσ	caσ	NOUN
fis-1316	44	37	the	the	DET
fis-1316	44	38	centre	centre	NOUN
fis-1316	44	39	of	of	ADP
fis-1316	44	40	the	the	DET
fis-1316	44	41	previous	previous	ADJ
fis-1316	44	42	hypersphere	hypersphere	NOUN
fis-1316	44	43	of	of	ADP
fis-1316	44	44	diameter	diameter	NOUN
fis-1316	44	45	0q	0q	NOUN
fis-1316	44	46	and	and	CCONJ
fis-1316	44	47			X
fis-1316	44	48	the	the	DET
fis-1316	44	49	angle	angle	NOUN
fis-1316	44	50	between	between	ADP
fis-1316	44	51	the	the	DET
fis-1316	44	52	   	   	SPACE
fis-1316	44	53	mσ	mσ	PROPN
fis-1316	44	54	σ	σ	PROPN
fis-1316	44	55	segment	segment	NOUN
fis-1316	44	56	and	and	CCONJ
fis-1316	44	57	the	the	DET
fis-1316	44	58	line	line	NOUN
fis-1316	44	59	joining	join	VERB
fis-1316	44	60	mσ	mσ	NOUN
fis-1316	44	61	with	with	ADP
fis-1316	44	62	caσ	caσ	PROPN
fis-1316	44	63	.	.	PUNCT
fis-1316	45	1	the	the	DET
fis-1316	45	2	amount	amount	NOUN
fis-1316	45	3	of	of	ADP
fis-1316	45	4	plastic	plastic	ADJ
fis-1316	45	5	strain	strain	NOUN
fis-1316	45	6	resulting	result	VERB
fis-1316	45	7	from	from	ADP
fis-1316	45	8	loading	loading	NOUN
fis-1316	45	9	or	or	CCONJ
fis-1316	45	10	unloading	unloading	NOUN
fis-1316	45	11	is	be	AUX
fis-1316	45	12	given	give	VERB
fis-1316	45	13	by	by	ADP
fis-1316	45	14	the	the	DET
fis-1316	45	15	following	follow	VERB
fis-1316	45	16	flow	flow	NOUN
fis-1316	45	17	rule	rule	NOUN
fis-1316	45	18	:	:	PUNCT
fis-1316	46	1	p	p	X
fis-1316	46	2	j	j	PROPN
fis-1316	46	3	i	i	PRON
fis-1316	46	4	i	i	PROPN
fis-1316	46	5	jd	jd	VERB
fis-1316	46	6	n	n	CCONJ
fis-1316	46	7	n	n	CCONJ
fis-1316	46	8	d	d	ADJ
fis-1316	46	9			NOUN
fis-1316	46	10			NOUN
fis-1316	46	11	(	(	PUNCT
fis-1316	46	12	4	4	NUM
fis-1316	46	13	)	)	PUNCT
fis-1316	46	14	t	t	PROPN
fis-1316	46	15	c.	c.	PROPN
fis-1316	46	16	madrigal	madrigal	PROPN
fis-1316	46	17	et	et	PROPN
fis-1316	46	18	alii	alii	PROPN
fis-1316	46	19	,	,	PUNCT
fis-1316	46	20	frattura	frattura	PROPN
fis-1316	46	21	ed	ed	PROPN
fis-1316	46	22	integrità	integrità	PROPN
fis-1316	46	23	strutturale	strutturale	PROPN
fis-1316	46	24	,	,	PUNCT
fis-1316	46	25	30	30	NUM
fis-1316	46	26	(	(	PUNCT
fis-1316	46	27	2014	2014	NUM
fis-1316	46	28	)	)	PUNCT
fis-1316	46	29	163	163	NUM
fis-1316	46	30	-	-	SYM
fis-1316	46	31	161	161	NUM
fis-1316	46	32	;	;	PUNCT
fis-1316	46	33	doi	doi	NOUN
fis-1316	46	34	:	:	PUNCT
fis-1316	46	35	10.3221	10.3221	NUM
fis-1316	46	36	/	/	SYM
fis-1316	46	37	igf	igf	PROPN
fis-1316	46	38	-	-	PROPN
fis-1316	46	39	esis.30.20	esis.30.20	PROPN
fis-1316	46	40	155	155	NUM
fis-1316	46	41	where	where	SCONJ
fis-1316	46	42			NOUN
fis-1316	46	43	is	be	AUX
fis-1316	46	44	equal	equal	ADJ
fis-1316	46	45	to	to	ADP
fis-1316	46	46			NOUN
fis-1316	46	47	φ	φ	PUNCT
fis-1316	46	48	q	q	NOUN
fis-1316	46	49	under	under	ADP
fis-1316	46	50	loading	loading	NOUN
fis-1316	46	51	conditions	condition	NOUN
fis-1316	46	52	and	and	CCONJ
fis-1316	46	53			NOUN
fis-1316	46	54			PUNCT
fis-1316	47	1	2/	2/	NUM
fis-1316	47	2	cosq	cosq	PROPN
fis-1316	47	3			PROPN
fis-1316	47	4	under	under	ADP
fis-1316	47	5	unloading	unload	VERB
fis-1316	47	6	conditions	condition	NOUN
fis-1316	47	7	.	.	PUNCT
fis-1316	48	1			NOUN
fis-1316	48	2	φ	φ	PRON
fis-1316	49	1	q	q	NOUN
fis-1316	49	2	and	and	CCONJ
fis-1316	49	3			PROPN
fis-1316	49	4	q	q	NOUN
fis-1316	49	5	are	be	AUX
fis-1316	49	6	the	the	DET
fis-1316	49	7	hardening	harden	VERB
fis-1316	49	8	modulus	modulus	NOUN
fis-1316	49	9	of	of	ADP
fis-1316	49	10	the	the	DET
fis-1316	49	11	material	material	NOUN
fis-1316	49	12	with	with	ADP
fis-1316	49	13	and	and	CCONJ
fis-1316	49	14	without	without	ADP
fis-1316	49	15	loading	loading	NOUN
fis-1316	49	16	,	,	PUNCT
fis-1316	49	17	respectively	respectively	ADV
fis-1316	49	18	,	,	PUNCT
fis-1316	49	19	and	and	CCONJ
fis-1316	49	20	can	can	AUX
fis-1316	49	21	be	be	AUX
fis-1316	49	22	calculated	calculate	VERB
fis-1316	49	23	numerically	numerically	ADV
fis-1316	49	24	or	or	CCONJ
fis-1316	49	25	empirically	empirically	ADV
fis-1316	49	26	from	from	ADP
fis-1316	49	27	the	the	DET
fis-1316	49	28	cyclic	cyclic	ADJ
fis-1316	49	29	stress	stress	NOUN
fis-1316	49	30	-	-	PUNCT
fis-1316	49	31	strain	strain	NOUN
fis-1316	49	32	curve	curve	NOUN
fis-1316	49	33	of	of	ADP
fis-1316	49	34	the	the	DET
fis-1316	49	35	material	material	NOUN
fis-1316	49	36	under	under	ADP
fis-1316	49	37	uniaxial	uniaxial	ADJ
fis-1316	49	38	loading	loading	NOUN
fis-1316	49	39	;	;	PUNCT
fis-1316	49	40	and	and	CCONJ
fis-1316	49	41	n	n	PRON
fis-1316	49	42	is	be	AUX
fis-1316	49	43	the	the	DET
fis-1316	49	44	vector	vector	NOUN
fis-1316	49	45	normal	normal	ADJ
fis-1316	49	46	to	to	ADP
fis-1316	49	47	the	the	DET
fis-1316	49	48	yield	yield	NOUN
fis-1316	49	49	surface	surface	NOUN
fis-1316	49	50	,	,	PUNCT
fis-1316	49	51	which	which	PRON
fis-1316	49	52	is	be	AUX
fis-1316	49	53	defined	define	VERB
fis-1316	49	54	by	by	ADP
fis-1316	49	55	its	its	PRON
fis-1316	49	56	gradient	gradient	NOUN
fis-1316	49	57	,	,	PUNCT
fis-1316	49	58	i.e.	i.e.	X
fis-1316	49	59	,	,	PUNCT
fis-1316	49	60	by	by	ADP
fis-1316	49	61	the	the	DET
fis-1316	49	62	gradient	gradient	NOUN
fis-1316	49	63	of	of	ADP
fis-1316	49	64	the	the	DET
fis-1316	49	65	distance	distance	NOUN
fis-1316	49	66	function	function	NOUN
fis-1316	49	67	in	in	ADP
fis-1316	49	68	eq	eq	ADP
fis-1316	49	69	.	.	PUNCT
fis-1316	50	1	(	(	PUNCT
fis-1316	50	2	1	1	NUM
fis-1316	50	3	)	)	PUNCT
fis-1316	50	4	under	under	ADP
fis-1316	50	5	loads	load	NOUN
fis-1316	50	6	1	1	NUM
fis-1316	50	7	  	  	SPACE
fis-1316	50	8	j	j	NOUN
fis-1316	51	1	i	i	PRON
fis-1316	51	2	i	i	PRON
fis-1316	51	3	iji	iji	VERB
fis-1316	51	4	q	q	PROPN
fis-1316	51	5	n	n	CCONJ
fis-1316	51	6	g	g	NOUN
fis-1316	51	7	q	q	X
fis-1316	51	8	q	q	X
fis-1316	51	9			X
fis-1316	51	10			X
fis-1316	51	11			NOUN
fis-1316	52	1			PRON
fis-1316	53	1			PROPN
fis-1316	54	1			PROPN
fis-1316	54	2			ADJ
fis-1316	54	3	(	(	PUNCT
fis-1316	54	4	5	5	NUM
fis-1316	54	5	)	)	PUNCT
fis-1316	54	6	and	and	CCONJ
fis-1316	54	7	eq	eq	NOUN
fis-1316	54	8	.	.	PUNCT
fis-1316	55	1	(	(	PUNCT
fis-1316	55	2	3	3	X
fis-1316	55	3	)	)	PUNCT
fis-1316	55	4	in	in	ADP
fis-1316	55	5	their	their	PRON
fis-1316	55	6	absence	absence	NOUN
fis-1316	55	7			NOUN
fis-1316	55	8			PUNCT
fis-1316	55	9			NOUN
fis-1316	55	10			NOUN
fis-1316	55	11	0	0	NUM
fis-1316	55	12	2	2	NUM
fis-1316	55	13	2	2	NUM
fis-1316	55	14	 	 	SPACE
fis-1316	56	1	i	i	PRON
fis-1316	57	1	i	i	PROPN
fis-1316	57	2	mi	mi	PROPN
fis-1316	57	3	cai	cai	X
fis-1316	57	4	min	min	PROPN
fis-1316	57	5	q	q	PROPN
fis-1316	57	6	q	q	X
fis-1316	57	7			X
fis-1316	57	8			X
fis-1316	57	9			PROPN
fis-1316	57	10			NOUN
fis-1316	57	11			PROPN
fis-1316	57	12			PROPN
fis-1316	57	13			NOUN
fis-1316	57	14	(	(	PUNCT
fis-1316	57	15	6	6	NUM
fis-1316	57	16	)	)	PUNCT
fis-1316	57	17	the	the	DET
fis-1316	57	18	stress	stress	NOUN
fis-1316	57	19	corresponding	correspond	VERB
fis-1316	57	20	to	to	ADP
fis-1316	57	21	a	a	DET
fis-1316	57	22	given	give	VERB
fis-1316	57	23	deformation	deformation	NOUN
fis-1316	57	24	increment	increment	NOUN
fis-1316	57	25	can	can	AUX
fis-1316	57	26	be	be	AUX
fis-1316	57	27	calculated	calculate	VERB
fis-1316	57	28	by	by	ADP
fis-1316	57	29	expanding	expand	VERB
fis-1316	57	30	eq	eq	ADP
fis-1316	57	31	.	.	PUNCT
fis-1316	58	1	(	(	PUNCT
fis-1316	58	2	4	4	NUM
fis-1316	58	3	)	)	PUNCT
fis-1316	58	4	with	with	ADP
fis-1316	58	5	the	the	DET
fis-1316	58	6	elastic	elastic	ADJ
fis-1316	58	7	strain	strain	NOUN
fis-1316	58	8	as	as	SCONJ
fis-1316	58	9	defined	define	VERB
fis-1316	58	10	in	in	ADP
fis-1316	58	11	hooke	hooke	PROPN
fis-1316	58	12	’s	’s	PART
fis-1316	58	13	law	law	NOUN
fis-1316	58	14	and	and	CCONJ
fis-1316	58	15	solving	solve	VERB
fis-1316	58	16	the	the	DET
fis-1316	58	17	resulting	result	VERB
fis-1316	58	18	expression	expression	NOUN
fis-1316	58	19	as	as	SCONJ
fis-1316	58	20	follows	follow	VERB
fis-1316	58	21	:	:	PUNCT
fis-1316	58	22			NOUN
fis-1316	58	23			PUNCT
fis-1316	58	24	1j	1j	NUM
fis-1316	59	1	ij	ij	INTJ
fis-1316	60	1	i	i	PRON
fis-1316	60	2	j	j	PROPN
fis-1316	61	1	i	i	PROPN
fis-1316	61	2	d	d	PROPN
fis-1316	61	3	h	h	PROPN
fis-1316	61	4	n	n	CCONJ
fis-1316	61	5	n	n	ADP
fis-1316	61	6	d	d	NOUN
fis-1316	61	7			NOUN
fis-1316	61	8			PROPN
fis-1316	61	9			PROPN
fis-1316	61	10			PRON
fis-1316	61	11			PUNCT
fis-1316	61	12	(	(	PUNCT
fis-1316	61	13	7	7	NUM
fis-1316	61	14	)	)	PUNCT
fis-1316	61	15	where	where	SCONJ
fis-1316	61	16	 	 	SPACE
fis-1316	61	17	ijh	ijh	VERB
fis-1316	61	18	denotes	denote	NOUN
fis-1316	61	19	the	the	DET
fis-1316	61	20	components	component	NOUN
fis-1316	61	21	of	of	ADP
fis-1316	61	22	the	the	DET
fis-1316	61	23	(	(	PUNCT
fis-1316	61	24	9	9	NUM
fis-1316	61	25	9)	9)	NUM
fis-1316	61	26	hooke	hooke	NOUN
fis-1316	61	27	matrix	matrix	NOUN
fis-1316	61	28	.	.	PUNCT
fis-1316	62	1	a	a	DET
fis-1316	62	2	more	more	ADV
fis-1316	62	3	detailed	detailed	ADJ
fis-1316	62	4	description	description	NOUN
fis-1316	62	5	of	of	ADP
fis-1316	62	6	the	the	DET
fis-1316	62	7	model	model	NOUN
fis-1316	62	8	can	can	AUX
fis-1316	62	9	be	be	AUX
fis-1316	62	10	found	find	VERB
fis-1316	62	11	elsewhere	elsewhere	ADV
fis-1316	62	12	[	[	X
fis-1316	62	13	4	4	NUM
fis-1316	62	14	-	-	SYM
fis-1316	62	15	8	8	NUM
fis-1316	62	16	]	]	PUNCT
fis-1316	62	17	.	.	PUNCT
fis-1316	63	1	matrix	matrix	NOUN
fis-1316	63	2	notation	notation	NOUN
fis-1316	63	3	s	s	VERB
fis-1316	63	4	shown	show	VERB
fis-1316	63	5	in	in	ADP
fis-1316	63	6	the	the	DET
fis-1316	63	7	previous	previous	ADJ
fis-1316	63	8	section	section	NOUN
fis-1316	63	9	,	,	PUNCT
fis-1316	63	10	the	the	DET
fis-1316	63	11	proposed	propose	VERB
fis-1316	63	12	model	model	NOUN
fis-1316	63	13	was	be	AUX
fis-1316	63	14	defined	define	VERB
fis-1316	63	15	in	in	ADP
fis-1316	63	16	9	9	NUM
fis-1316	63	17	dimensions	dimension	NOUN
fis-1316	63	18	because	because	SCONJ
fis-1316	63	19	the	the	DET
fis-1316	63	20	stress	stress	NOUN
fis-1316	63	21	tensor	tensor	NOUN
fis-1316	63	22	had	have	VERB
fis-1316	63	23	9	9	NUM
fis-1316	63	24	components	component	NOUN
fis-1316	63	25	.	.	PUNCT
fis-1316	64	1	however	however	ADV
fis-1316	64	2	,	,	PUNCT
fis-1316	64	3	the	the	DET
fis-1316	64	4	symmetry	symmetry	NOUN
fis-1316	64	5	of	of	ADP
fis-1316	64	6	the	the	DET
fis-1316	64	7	tensor	tensor	NOUN
fis-1316	64	8	made	make	VERB
fis-1316	64	9	using	use	VERB
fis-1316	64	10	a	a	DET
fis-1316	64	11	reduced	reduce	VERB
fis-1316	64	12	number	number	NOUN
fis-1316	64	13	of	of	ADP
fis-1316	64	14	dimensions	dimension	NOUN
fis-1316	64	15	(	(	PUNCT
fis-1316	64	16	6	6	NUM
fis-1316	64	17	)	)	PUNCT
fis-1316	64	18	more	more	ADV
fis-1316	64	19	practical	practical	ADJ
fis-1316	64	20	.	.	PUNCT
fis-1316	65	1	this	this	PRON
fis-1316	65	2	required	require	VERB
fis-1316	65	3	rewriting	rewrite	VERB
fis-1316	65	4	the	the	DET
fis-1316	65	5	previous	previous	ADJ
fis-1316	65	6	equations	equation	NOUN
fis-1316	65	7	in	in	ADP
fis-1316	65	8	matrix	matrix	NOUN
fis-1316	65	9	form	form	NOUN
fis-1316	65	10	and	and	CCONJ
fis-1316	65	11	using	use	VERB
fis-1316	65	12	an	an	DET
fis-1316	65	13	ancillary	ancillary	ADJ
fis-1316	65	14	matrix	matrix	NOUN
fis-1316	65	15	s	s	VERB
fis-1316	65	16	to	to	PART
fis-1316	65	17	provide	provide	VERB
fis-1316	65	18	for	for	ADP
fis-1316	65	19	duplicate	duplicate	ADJ
fis-1316	65	20	tangential	tangential	ADJ
fis-1316	65	21	terms	term	NOUN
fis-1316	65	22	:	:	PUNCT
fis-1316	65	23	1	1	NUM
fis-1316	65	24	0	0	NUM
fis-1316	65	25	0	0	NUM
fis-1316	65	26	0	0	NUM
fis-1316	65	27	0	0	NUM
fis-1316	65	28	0	0	NUM
fis-1316	65	29	0	0	NUM
fis-1316	65	30	1	1	NUM
fis-1316	65	31	0	0	NUM
fis-1316	65	32	0	0	NUM
fis-1316	65	33	0	0	NUM
fis-1316	65	34	0	0	NUM
fis-1316	65	35	0	0	NUM
fis-1316	65	36	0	0	NUM
fis-1316	65	37	1	1	NUM
fis-1316	65	38	0	0	NUM
fis-1316	65	39	0	0	NUM
fis-1316	65	40	0	0	NUM
fis-1316	66	1	=	=	SYM
fis-1316	66	2	0	0	NUM
fis-1316	66	3	0	0	NUM
fis-1316	66	4	0	0	NUM
fis-1316	66	5	2	2	NUM
fis-1316	66	6	0	0	NUM
fis-1316	66	7	0	0	NUM
fis-1316	66	8	0	0	NUM
fis-1316	66	9	0	0	NUM
fis-1316	66	10	0	0	NUM
fis-1316	66	11	0	0	NUM
fis-1316	66	12	2	2	NUM
fis-1316	66	13	0	0	NUM
fis-1316	66	14	0	0	NUM
fis-1316	66	15	0	0	NUM
fis-1316	66	16	0	0	NUM
fis-1316	66	17	0	0	NUM
fis-1316	66	18	0	0	NUM
fis-1316	66	19	2	2	NUM
fis-1316	66	20			NUM
fis-1316	66	21			ADJ
fis-1316	66	22			NOUN
fis-1316	66	23			PROPN
fis-1316	66	24			NOUN
fis-1316	66	25			NOUN
fis-1316	66	26			NOUN
fis-1316	66	27			NOUN
fis-1316	66	28			NOUN
fis-1316	66	29			NOUN
fis-1316	66	30			NOUN
fis-1316	66	31			NOUN
fis-1316	66	32			NOUN
fis-1316	66	33			NOUN
fis-1316	66	34			NOUN
fis-1316	66	35			NOUN
fis-1316	66	36			NOUN
fis-1316	66	37			PROPN
fis-1316	66	38			PROPN
fis-1316	66	39	s	s	PART
fis-1316	66	40	with	with	ADP
fis-1316	66	41	this	this	DET
fis-1316	66	42	definition	definition	NOUN
fis-1316	66	43	,	,	PUNCT
fis-1316	66	44	eq	eq	NOUN
fis-1316	66	45	.	.	PUNCT
fis-1316	67	1	(	(	PUNCT
fis-1316	67	2	1	1	X
fis-1316	67	3	)	)	PUNCT
fis-1316	67	4	is	be	AUX
fis-1316	67	5	written	write	VERB
fis-1316	67	6	in	in	ADP
fis-1316	67	7	matrix	matrix	NOUN
fis-1316	67	8	form	form	NOUN
fis-1316	67	9	as	as	ADP
fis-1316	67	10	 	 	SPACE
fis-1316	67	11	q	q	NOUN
fis-1316	68	1			NOUN
fis-1316	69	1			NUM
fis-1316	69	2	t	t	NOUN
fis-1316	69	3	tσ	tσ	INTJ
fis-1316	70	1	σ	σ	X
fis-1316	70	2	s	s	PROPN
fis-1316	70	3	gsσ	gsσ	NOUN
fis-1316	70	4	(	(	PUNCT
fis-1316	70	5	8)	8)	NUM
fis-1316	70	6	and	and	CCONJ
fis-1316	70	7	its	its	PRON
fis-1316	70	8	differential	differential	ADJ
fis-1316	70	9	q	q	X
fis-1316	70	10	ddq	ddq	PROPN
fis-1316	70	11			NUM
fis-1316	70	12			NOUN
fis-1316	70	13			PROPN
fis-1316	70	14			NUM
fis-1316	70	15	σ	σ	PROPN
fis-1316	70	16	sn	sn	PROPN
fis-1316	70	17	σ	σ	PROPN
fis-1316	70	18	(	(	PUNCT
fis-1316	70	19	9	9	NUM
fis-1316	70	20	)	)	PUNCT
fis-1316	70	21	under	under	ADP
fis-1316	70	22	unloading	unloading	NOUN
fis-1316	70	23	conditions	condition	NOUN
fis-1316	70	24	,	,	PUNCT
fis-1316	70	25	diameter	diameter	NOUN
fis-1316	70	26	q	q	NOUN
fis-1316	70	27	was	be	AUX
fis-1316	70	28	expressed	express	VERB
fis-1316	70	29	as	as	ADP
fis-1316	70	30			NOUN
fis-1316	70	31			PROPN
fis-1316	70	32			NOUN
fis-1316	70	33			SYM
fis-1316	70	34			NOUN
fis-1316	70	35			SYM
fis-1316	70	36			NOUN
fis-1316	70	37			NOUN
fis-1316	70	38	0	0	NUM
fis-1316	70	39	2	2	NUM
fis-1316	70	40	m	m	NOUN
fis-1316	70	41	m	m	VERB
fis-1316	70	42	ca	ca	NOUN
fis-1316	70	43	m	m	NOUN
fis-1316	70	44	m	m	VERB
fis-1316	70	45	q	q	ADJ
fis-1316	70	46	q	q	ADJ
fis-1316	70	47			PROPN
fis-1316	70	48			PROPN
fis-1316	70	49			PROPN
fis-1316	70	50			PROPN
fis-1316	70	51			PROPN
fis-1316	70	52	t	t	PROPN
fis-1316	70	53	t	t	PROPN
fis-1316	70	54	t	t	PROPN
fis-1316	70	55	t	t	PROPN
fis-1316	70	56	σ	σ	PROPN
fis-1316	70	57	σ	σ	PROPN
fis-1316	70	58	s	s	PROPN
fis-1316	70	59	gs	gs	PROPN
fis-1316	70	60	σ	σ	PROPN
fis-1316	70	61	σ	σ	PROPN
fis-1316	70	62	σ	σ	PROPN
fis-1316	70	63	σ	σ	PROPN
fis-1316	70	64	s	s	PROPN
fis-1316	70	65	gs	gs	PROPN
fis-1316	70	66	σ	σ	PROPN
fis-1316	70	67	σ	σ	PROPN
fis-1316	70	68	(	(	PUNCT
fis-1316	70	69	10	10	NUM
fis-1316	70	70	)	)	PUNCT
fis-1316	70	71	or	or	CCONJ
fis-1316	70	72	,	,	PUNCT
fis-1316	70	73	in	in	ADP
fis-1316	70	74	differential	differential	ADJ
fis-1316	70	75	form	form	NOUN
fis-1316	70	76	,	,	PUNCT
fis-1316	70	77	as	as	ADP
fis-1316	70	78	2	2	NUM
fis-1316	70	79	  	  	SPACE
fis-1316	70	80	q	q	NOUN
fis-1316	71	1	d	d	X
fis-1316	71	2	cos	cos	ADP
fis-1316	71	3	dq	dq	PROPN
fis-1316	71	4			NOUN
fis-1316	71	5			ADJ
fis-1316	71	6			NOUN
fis-1316	71	7			PROPN
fis-1316	71	8	σ	σ	NOUN
fis-1316	71	9	sn	sn	PROPN
fis-1316	71	10	σ	σ	PROPN
fis-1316	71	11	(	(	PUNCT
fis-1316	71	12	11	11	NUM
fis-1316	71	13	)	)	PUNCT
fis-1316	71	14	a	a	DET
fis-1316	71	15	c.	c.	PROPN
fis-1316	71	16	madrigal	madrigal	PROPN
fis-1316	71	17	et	et	PROPN
fis-1316	71	18	alii	alii	PROPN
fis-1316	71	19	,	,	PUNCT
fis-1316	71	20	frattura	frattura	PROPN
fis-1316	71	21	ed	ed	PROPN
fis-1316	71	22	integrità	integrità	PROPN
fis-1316	71	23	strutturale	strutturale	PROPN
fis-1316	71	24	,	,	PUNCT
fis-1316	71	25	30	30	NUM
fis-1316	71	26	(	(	PUNCT
fis-1316	71	27	2014	2014	NUM
fis-1316	71	28	)	)	PUNCT
fis-1316	71	29	163	163	NUM
fis-1316	71	30	-	-	SYM
fis-1316	71	31	161	161	NUM
fis-1316	71	32	;	;	PUNCT
fis-1316	71	33	doi	doi	NOUN
fis-1316	71	34	:	:	PUNCT
fis-1316	71	35	10.3221	10.3221	NUM
fis-1316	71	36	/	/	SYM
fis-1316	71	37	igf	igf	PROPN
fis-1316	71	38	-	-	PROPN
fis-1316	71	39	esis.30.20	esis.30.20	PROPN
fis-1316	71	40	156	156	NUM
fis-1316	71	41	the	the	DET
fis-1316	71	42	flow	flow	NOUN
fis-1316	71	43	rule	rule	NOUN
fis-1316	71	44	took	take	VERB
fis-1316	71	45	the	the	DET
fis-1316	71	46	form	form	NOUN
fis-1316	71	47			NOUN
fis-1316	71	48	pd	pd	PROPN
fis-1316	71	49	d	d	NOUN
fis-1316	71	50	ε	ε	X
fis-1316	71	51	sn	sn	PROPN
fis-1316	71	52	sn	sn	PROPN
fis-1316	71	53	σ	σ	PROPN
fis-1316	71	54	(	(	PUNCT
fis-1316	71	55	12	12	NUM
fis-1316	71	56	)	)	PUNCT
fis-1316	71	57	where	where	SCONJ
fis-1316	71	58			NOUN
fis-1316	71	59	is	be	AUX
fis-1316	71	60	equal	equal	ADJ
fis-1316	71	61	to	to	ADP
fis-1316	71	62			PROPN
fis-1316	71	63	φ	φ	PRON
fis-1316	72	1	q	q	NOUN
fis-1316	73	1	with	with	ADP
fis-1316	73	2	loading	loading	NOUN
fis-1316	73	3	and	and	CCONJ
fis-1316	73	4			NOUN
fis-1316	73	5			PUNCT
fis-1316	74	1	2/	2/	NUM
fis-1316	74	2	cosq	cosq	PROPN
fis-1316	74	3			PROPN
fis-1316	74	4	in	in	ADP
fis-1316	74	5	the	the	DET
fis-1316	74	6	absence	absence	NOUN
fis-1316	74	7	of	of	ADP
fis-1316	74	8	loads	load	NOUN
fis-1316	74	9	.	.	PUNCT
fis-1316	75	1	the	the	DET
fis-1316	75	2	normal	normal	ADJ
fis-1316	75	3	vector	vector	NOUN
fis-1316	75	4	was	be	AUX
fis-1316	75	5	formulated	formulate	VERB
fis-1316	75	6	as	as	ADP
fis-1316	75	7	q	q	NOUN
fis-1316	75	8			NUM
fis-1316	75	9	gsσ	gsσ	NOUN
fis-1316	75	10	n	n	CCONJ
fis-1316	75	11	(	(	PUNCT
fis-1316	75	12	13	13	NUM
fis-1316	75	13	)	)	PUNCT
fis-1316	75	14	with	with	ADP
fis-1316	75	15	loads	load	NOUN
fis-1316	75	16	and	and	CCONJ
fis-1316	75	17	as	as	ADP
fis-1316	75	18			NOUN
fis-1316	75	19			PROPN
fis-1316	75	20			NOUN
fis-1316	75	21			NOUN
fis-1316	75	22	0	0	NUM
fis-1316	75	23	2	2	NUM
fis-1316	75	24	2	2	NUM
fis-1316	75	25	m	m	VERB
fis-1316	75	26	ca	ca	AUX
fis-1316	75	27	mq	mq	PROPN
fis-1316	75	28	q	q	PROPN
fis-1316	76	1			PROPN
fis-1316	76	2			PROPN
fis-1316	76	3			PROPN
fis-1316	76	4	n	n	VERB
fis-1316	76	5	gs	gs	PROPN
fis-1316	76	6	σ	σ	PROPN
fis-1316	76	7	σ	σ	PROPN
fis-1316	76	8	gs	gs	PROPN
fis-1316	76	9	σ	σ	PROPN
fis-1316	76	10	σ	σ	PROPN
fis-1316	76	11	(	(	PUNCT
fis-1316	76	12	14	14	NUM
fis-1316	76	13	)	)	PUNCT
fis-1316	76	14	without	without	ADP
fis-1316	76	15	them	they	PRON
fis-1316	76	16	.	.	PUNCT
fis-1316	77	1	combining	combine	VERB
fis-1316	77	2	the	the	DET
fis-1316	77	3	elastic	elastic	ADJ
fis-1316	77	4	and	and	CCONJ
fis-1316	77	5	plastic	plastic	NOUN
fis-1316	77	6	terms	term	NOUN
fis-1316	77	7	,	,	PUNCT
fis-1316	77	8	and	and	CCONJ
fis-1316	77	9	inversion	inversion	NOUN
fis-1316	77	10	,	,	PUNCT
fis-1316	77	11	yielded	yield	VERB
fis-1316	77	12	the	the	DET
fis-1316	77	13	stress	stress	NOUN
fis-1316	77	14	increment	increment	NOUN
fis-1316	77	15	:	:	PUNCT
fis-1316	77	16			NOUN
fis-1316	77	17			PROPN
fis-1316	77	18	1	1	NUM
fis-1316	77	19	d	d	NOUN
fis-1316	77	20	d	d	PROPN
fis-1316	77	21			ADJ
fis-1316	77	22			PUNCT
fis-1316	77	23	σ	σ	PROPN
fis-1316	77	24	h	h	PROPN
fis-1316	77	25	sn	sn	PROPN
fis-1316	77	26	sn	sn	PROPN
fis-1316	77	27	ε	ε	PROPN
fis-1316	77	28	(	(	PUNCT
fis-1316	77	29	15	15	NUM
fis-1316	77	30	)	)	PUNCT
fis-1316	77	31	where	where	SCONJ
fis-1316	77	32	h	h	NOUN
fis-1316	77	33	is	be	AUX
fis-1316	77	34	a	a	DET
fis-1316	77	35	(	(	PUNCT
fis-1316	77	36	6	6	NUM
fis-1316	77	37	6)	6)	NUM
fis-1316	77	38	hooke	hooke	NOUN
fis-1316	77	39	matrix	matrix	NOUN
fis-1316	77	40	.	.	PUNCT
fis-1316	78	1	numerical	numerical	ADJ
fis-1316	78	2	implementation	implementation	NOUN
fis-1316	78	3	he	he	PRON
fis-1316	78	4	previous	previous	ADJ
fis-1316	78	5	equations	equation	NOUN
fis-1316	78	6	were	be	AUX
fis-1316	78	7	implemented	implement	VERB
fis-1316	78	8	numerically	numerically	ADV
fis-1316	78	9	in	in	ADP
fis-1316	78	10	two	two	NUM
fis-1316	78	11	different	different	ADJ
fis-1316	78	12	commercial	commercial	ADJ
fis-1316	78	13	software	software	NOUN
fis-1316	78	14	packages	package	NOUN
fis-1316	78	15	.	.	PUNCT
fis-1316	79	1	thus	thus	ADV
fis-1316	79	2	,	,	PUNCT
fis-1316	79	3	matlab	matlab	PROPN
fis-1316	79	4	was	be	AUX
fis-1316	79	5	used	use	VERB
fis-1316	79	6	to	to	PART
fis-1316	79	7	implement	implement	VERB
fis-1316	79	8	the	the	DET
fis-1316	79	9	particular	particular	ADJ
fis-1316	79	10	equations	equation	NOUN
fis-1316	79	11	for	for	ADP
fis-1316	79	12	combined	combined	ADJ
fis-1316	79	13	axial	axial	ADJ
fis-1316	79	14	–	–	PUNCT
fis-1316	79	15	torsional	torsional	ADJ
fis-1316	79	16	loads	load	NOUN
fis-1316	79	17	,	,	PUNCT
fis-1316	79	18	which	which	PRON
fis-1316	79	19	accurately	accurately	ADV
fis-1316	79	20	reflect	reflect	VERB
fis-1316	79	21	the	the	DET
fis-1316	79	22	behaviour	behaviour	NOUN
fis-1316	79	23	of	of	ADP
fis-1316	79	24	a	a	DET
fis-1316	79	25	material	material	NOUN
fis-1316	79	26	under	under	ADP
fis-1316	79	27	multiaxial	multiaxial	ADJ
fis-1316	79	28	loads	load	NOUN
fis-1316	79	29	and	and	CCONJ
fis-1316	79	30	considerably	considerably	ADV
fis-1316	79	31	simplify	simplify	VERB
fis-1316	79	32	the	the	DET
fis-1316	79	33	model	model	NOUN
fis-1316	79	34	equations	equation	NOUN
fis-1316	79	35	.	.	PUNCT
fis-1316	80	1	this	this	PRON
fis-1316	80	2	enables	enable	VERB
fis-1316	80	3	easy	easy	ADJ
fis-1316	80	4	numerical	numerical	ADJ
fis-1316	80	5	integration	integration	NOUN
fis-1316	80	6	by	by	ADP
fis-1316	80	7	effect	effect	NOUN
fis-1316	80	8	of	of	ADP
fis-1316	80	9	the	the	DET
fis-1316	80	10	vector	vector	NOUN
fis-1316	80	11	space	space	NOUN
fis-1316	80	12	being	be	AUX
fis-1316	80	13	reduced	reduce	VERB
fis-1316	80	14	to	to	ADP
fis-1316	80	15	two	two	NUM
fis-1316	80	16	dimensions	dimension	NOUN
fis-1316	80	17	.	.	PUNCT
fis-1316	81	1	also	also	ADV
fis-1316	81	2	,	,	PUNCT
fis-1316	81	3	most	most	ADJ
fis-1316	81	4	experimental	experimental	ADJ
fis-1316	81	5	results	result	NOUN
fis-1316	81	6	at	at	ADP
fis-1316	81	7	low	low	ADJ
fis-1316	81	8	cycle	cycle	NOUN
fis-1316	81	9	fatigue	fatigue	NOUN
fis-1316	81	10	under	under	ADP
fis-1316	81	11	multiaxial	multiaxial	ADJ
fis-1316	81	12	loads	load	NOUN
fis-1316	81	13	are	be	AUX
fis-1316	81	14	obtained	obtain	VERB
fis-1316	81	15	by	by	ADP
fis-1316	81	16	subjecting	subject	VERB
fis-1316	81	17	hollow	hollow	ADJ
fis-1316	81	18	tubes	tube	NOUN
fis-1316	81	19	to	to	ADP
fis-1316	81	20	combined	combined	ADJ
fis-1316	81	21	tensile	tensile	ADJ
fis-1316	81	22	–	–	PUNCT
fis-1316	81	23	torsional	torsional	ADJ
fis-1316	81	24	loads	load	NOUN
fis-1316	81	25	;	;	PUNCT
fis-1316	81	26	as	as	ADP
fis-1316	81	27	a	a	DET
fis-1316	81	28	consequence	consequence	NOUN
fis-1316	81	29	,	,	PUNCT
fis-1316	81	30	these	these	DET
fis-1316	81	31	simulations	simulation	NOUN
fis-1316	81	32	are	be	AUX
fis-1316	81	33	highly	highly	ADV
fis-1316	81	34	suitable	suitable	ADJ
fis-1316	81	35	for	for	ADP
fis-1316	81	36	expeditious	expeditious	ADJ
fis-1316	81	37	validation	validation	NOUN
fis-1316	81	38	of	of	ADP
fis-1316	81	39	models	model	NOUN
fis-1316	81	40	.	.	PUNCT
fis-1316	82	1	figure	figure	NOUN
fis-1316	82	2	2	2	NUM
fis-1316	82	3	:	:	PUNCT
fis-1316	82	4	flow	flow	VERB
fis-1316	82	5	chart	chart	NOUN
fis-1316	82	6	for	for	ADP
fis-1316	82	7	the	the	DET
fis-1316	82	8	code	code	NOUN
fis-1316	82	9	.	.	PUNCT
fis-1316	83	1	t	t	PROPN
fis-1316	83	2	c.	c.	PROPN
fis-1316	83	3	madrigal	madrigal	PROPN
fis-1316	83	4	et	et	PROPN
fis-1316	83	5	alii	alii	PROPN
fis-1316	83	6	,	,	PUNCT
fis-1316	83	7	frattura	frattura	PROPN
fis-1316	83	8	ed	ed	PROPN
fis-1316	83	9	integrità	integrità	PROPN
fis-1316	83	10	strutturale	strutturale	PROPN
fis-1316	83	11	,	,	PUNCT
fis-1316	83	12	30	30	NUM
fis-1316	83	13	(	(	PUNCT
fis-1316	83	14	2014	2014	NUM
fis-1316	83	15	)	)	PUNCT
fis-1316	83	16	163	163	NUM
fis-1316	83	17	-	-	SYM
fis-1316	83	18	161	161	NUM
fis-1316	83	19	;	;	PUNCT
fis-1316	83	20	doi	doi	NOUN
fis-1316	83	21	:	:	PUNCT
fis-1316	83	22	10.3221	10.3221	NUM
fis-1316	83	23	/	/	SYM
fis-1316	83	24	igf	igf	PROPN
fis-1316	83	25	-	-	PROPN
fis-1316	83	26	esis.30.20	esis.30.20	PROPN
fis-1316	83	27	157	157	NUM
fis-1316	83	28	calculating	calculate	VERB
fis-1316	83	29	the	the	DET
fis-1316	83	30	amount	amount	NOUN
fis-1316	83	31	of	of	ADP
fis-1316	83	32	deformation	deformation	NOUN
fis-1316	83	33	in	in	ADP
fis-1316	83	34	a	a	DET
fis-1316	83	35	whole	whole	ADJ
fis-1316	83	36	element	element	NOUN
fis-1316	83	37	entails	entail	VERB
fis-1316	83	38	implementing	implement	VERB
fis-1316	83	39	the	the	DET
fis-1316	83	40	proposed	propose	VERB
fis-1316	83	41	equations	equation	NOUN
fis-1316	83	42	in	in	ADP
fis-1316	83	43	finite	finite	ADJ
fis-1316	83	44	element	element	NOUN
fis-1316	83	45	software	software	NOUN
fis-1316	83	46	.	.	PUNCT
fis-1316	84	1	we	we	PRON
fis-1316	84	2	used	use	VERB
fis-1316	84	3	a	a	DET
fis-1316	84	4	umat	umat	ADJ
fis-1316	84	5	subroutine	subroutine	NOUN
fis-1316	84	6	for	for	ADP
fis-1316	84	7	abaqus	abaqus	NOUN
fis-1316	84	8	/	/	SYM
fis-1316	84	9	standard	standard	NOUN
fis-1316	84	10	for	for	ADP
fis-1316	84	11	this	this	DET
fis-1316	84	12	purpose	purpose	NOUN
fis-1316	84	13	.	.	PUNCT
fis-1316	85	1	the	the	DET
fis-1316	85	2	scheme	scheme	NOUN
fis-1316	85	3	of	of	ADP
fis-1316	85	4	fig	fig	NOUN
fis-1316	85	5	.	.	PUNCT
fis-1316	86	1	2	2	NUM
fis-1316	86	2	depicts	depict	VERB
fis-1316	86	3	a	a	DET
fis-1316	86	4	very	very	ADV
fis-1316	86	5	simplified	simplified	ADJ
fis-1316	86	6	version	version	NOUN
fis-1316	86	7	of	of	ADP
fis-1316	86	8	the	the	DET
fis-1316	86	9	flow	flow	NOUN
fis-1316	86	10	chart	chart	NOUN
fis-1316	86	11	for	for	ADP
fis-1316	86	12	the	the	DET
fis-1316	86	13	code	code	NOUN
fis-1316	86	14	.	.	PUNCT
fis-1316	87	1	on	on	ADP
fis-1316	87	2	calling	call	VERB
fis-1316	87	3	the	the	DET
fis-1316	87	4	subroutine	subroutine	NOUN
fis-1316	87	5	,	,	PUNCT
fis-1316	87	6	the	the	DET
fis-1316	87	7	software	software	NOUN
fis-1316	87	8	feeds	feed	VERB
fis-1316	87	9	it	it	PRON
fis-1316	87	10	with	with	ADP
fis-1316	87	11	a	a	DET
fis-1316	87	12	given	give	VERB
fis-1316	87	13	total	total	ADJ
fis-1316	87	14	strain	strain	NOUN
fis-1316	87	15	increment	increment	NOUN
fis-1316	87	16	that	that	PRON
fis-1316	87	17	is	be	AUX
fis-1316	87	18	used	use	VERB
fis-1316	87	19	to	to	PART
fis-1316	87	20	calculate	calculate	VERB
fis-1316	87	21	the	the	DET
fis-1316	87	22	corresponding	corresponding	ADJ
fis-1316	87	23	stress	stress	NOUN
fis-1316	87	24	increment	increment	NOUN
fis-1316	87	25	.	.	PUNCT
fis-1316	88	1	the	the	DET
fis-1316	88	2	procedure	procedure	NOUN
fis-1316	88	3	is	be	AUX
fis-1316	88	4	identical	identical	ADJ
fis-1316	88	5	with	with	ADP
fis-1316	88	6	and	and	CCONJ
fis-1316	88	7	without	without	ADP
fis-1316	88	8	loads	load	NOUN
fis-1316	88	9	.	.	PUNCT
fis-1316	89	1	the	the	DET
fis-1316	89	2	total	total	ADJ
fis-1316	89	3	strain	strain	NOUN
fis-1316	89	4	increment	increment	NOUN
fis-1316	89	5	is	be	AUX
fis-1316	89	6	used	use	VERB
fis-1316	89	7	in	in	ADP
fis-1316	89	8	combination	combination	NOUN
fis-1316	89	9	with	with	ADP
fis-1316	89	10	eq	eq	NOUN
fis-1316	89	11	.	.	PUNCT
fis-1316	90	1	(	(	PUNCT
fis-1316	90	2	9	9	NUM
fis-1316	90	3	)	)	PUNCT
fis-1316	90	4	and	and	CCONJ
fis-1316	90	5	(	(	PUNCT
fis-1316	90	6	11	11	NUM
fis-1316	90	7	)	)	PUNCT
fis-1316	90	8	to	to	PART
fis-1316	90	9	calculate	calculate	VERB
fis-1316	90	10	the	the	DET
fis-1316	90	11	distance	distance	NOUN
fis-1316	90	12	increment	increment	NOUN
fis-1316	90	13	(	(	PUNCT
fis-1316	90	14	dq	dq	NOUN
fis-1316	90	15	or	or	CCONJ
fis-1316	90	16	dq	dq	PROPN
fis-1316	90	17	)	)	PUNCT
fis-1316	90	18	.	.	PUNCT
fis-1316	91	1	if	if	SCONJ
fis-1316	91	2	the	the	DET
fis-1316	91	3	increment	increment	NOUN
fis-1316	91	4	is	be	AUX
fis-1316	91	5	positive	positive	ADJ
fis-1316	91	6	,	,	PUNCT
fis-1316	91	7	then	then	ADV
fis-1316	91	8	the	the	DET
fis-1316	91	9	hypersphere	hypersphere	NOUN
fis-1316	91	10	continues	continue	VERB
fis-1316	91	11	to	to	PART
fis-1316	91	12	grow	grow	VERB
fis-1316	91	13	and	and	CCONJ
fis-1316	91	14	eq	eq	NOUN
fis-1316	91	15	.	.	PUNCT
fis-1316	92	1	(	(	PUNCT
fis-1316	92	2	15	15	NUM
fis-1316	92	3	)	)	PUNCT
fis-1316	92	4	is	be	AUX
fis-1316	92	5	integrated	integrate	VERB
fis-1316	92	6	to	to	PART
fis-1316	92	7	calculate	calculate	VERB
fis-1316	92	8	the	the	DET
fis-1316	92	9	associated	associated	ADJ
fis-1316	92	10	stress	stress	NOUN
fis-1316	92	11	increment	increment	NOUN
fis-1316	92	12	.	.	PUNCT
fis-1316	93	1	under	under	ADP
fis-1316	93	2	unloading	unloading	NOUN
fis-1316	93	3	conditions	condition	NOUN
fis-1316	93	4	,	,	PUNCT
fis-1316	93	5	the	the	DET
fis-1316	93	6	hypersphere	hypersphere	NOUN
fis-1316	93	7	must	must	AUX
fis-1316	93	8	be	be	AUX
fis-1316	93	9	checked	check	VERB
fis-1316	93	10	not	not	PART
fis-1316	93	11	to	to	PART
fis-1316	93	12	grow	grow	VERB
fis-1316	93	13	as	as	ADV
fis-1316	93	14	much	much	ADJ
fis-1316	93	15	as	as	SCONJ
fis-1316	93	16	needed	need	VERB
fis-1316	93	17	to	to	PART
fis-1316	93	18	exceed	exceed	VERB
fis-1316	93	19	the	the	DET
fis-1316	93	20	size	size	NOUN
fis-1316	93	21	of	of	ADP
fis-1316	93	22	the	the	DET
fis-1316	93	23	following	follow	VERB
fis-1316	93	24	outer	outer	NOUN
fis-1316	93	25	hypersphere	hypersphere	ADV
fis-1316	93	26	otherwise	otherwise	ADV
fis-1316	93	27	,	,	PUNCT
fis-1316	93	28	unloading	unloading	NOUN
fis-1316	93	29	is	be	AUX
fis-1316	93	30	finished	finish	VERB
fis-1316	93	31	,	,	PUNCT
fis-1316	93	32	the	the	DET
fis-1316	93	33	inner	inner	ADJ
fis-1316	93	34	hypersphere	hypersphere	NOUN
fis-1316	93	35	is	be	AUX
fis-1316	93	36	closed	close	VERB
fis-1316	93	37	and	and	CCONJ
fis-1316	93	38	the	the	DET
fis-1316	93	39	process	process	NOUN
fis-1316	93	40	continues	continue	VERB
fis-1316	93	41	with	with	ADP
fis-1316	93	42	the	the	DET
fis-1316	93	43	outer	outer	ADJ
fis-1316	93	44	hypersphere	hypersphere	NOUN
fis-1316	93	45	in	in	ADP
fis-1316	93	46	order	order	NOUN
fis-1316	93	47	to	to	PART
fis-1316	93	48	record	record	VERB
fis-1316	93	49	the	the	DET
fis-1316	93	50	memory	memory	NOUN
fis-1316	93	51	effect	effect	NOUN
fis-1316	93	52	.	.	PUNCT
fis-1316	94	1	if	if	SCONJ
fis-1316	94	2	dq	dq	PROPN
fis-1316	94	3	(	(	PUNCT
fis-1316	94	4	or	or	CCONJ
fis-1316	94	5	dq	dq	PROPN
fis-1316	94	6	)	)	PUNCT
fis-1316	94	7	is	be	AUX
fis-1316	94	8	negative	negative	ADJ
fis-1316	94	9	,	,	PUNCT
fis-1316	94	10	then	then	ADV
fis-1316	94	11	unloading	unloading	NOUN
fis-1316	94	12	starts	start	NOUN
fis-1316	94	13	and	and	CCONJ
fis-1316	94	14	an	an	DET
fis-1316	94	15	inner	inner	ADJ
fis-1316	94	16	hypersphere	hypersphere	NOUN
fis-1316	94	17	forms	form	NOUN
fis-1316	94	18	tangentially	tangentially	ADV
fis-1316	94	19	to	to	ADP
fis-1316	94	20	the	the	DET
fis-1316	94	21	previous	previous	ADJ
fis-1316	94	22	one	one	NUM
fis-1316	94	23	at	at	ADP
fis-1316	94	24	the	the	DET
fis-1316	94	25	load	load	NOUN
fis-1316	94	26	return	return	NOUN
fis-1316	94	27	point	point	NOUN
fis-1316	94	28	.	.	PUNCT
fis-1316	95	1	integration	integration	NOUN
fis-1316	95	2	e	e	PROPN
fis-1316	95	3	used	use	VERB
fis-1316	95	4	two	two	NUM
fis-1316	95	5	different	different	ADJ
fis-1316	95	6	integration	integration	NOUN
fis-1316	95	7	modes	mode	NOUN
fis-1316	95	8	.	.	PUNCT
fis-1316	96	1	the	the	DET
fis-1316	96	2	explicit	explicit	ADJ
fis-1316	96	3	formulation	formulation	NOUN
fis-1316	96	4	was	be	AUX
fis-1316	96	5	more	more	ADV
fis-1316	96	6	simple	simple	ADJ
fis-1316	96	7	and	and	CCONJ
fis-1316	96	8	expeditious	expeditious	ADJ
fis-1316	96	9	but	but	CCONJ
fis-1316	96	10	conditionally	conditionally	ADV
fis-1316	96	11	stable	stable	ADJ
fis-1316	96	12	;	;	PUNCT
fis-1316	96	13	also	also	ADV
fis-1316	96	14	,	,	PUNCT
fis-1316	96	15	the	the	DET
fis-1316	96	16	precision	precision	NOUN
fis-1316	96	17	was	be	AUX
fis-1316	96	18	dependent	dependent	ADJ
fis-1316	96	19	on	on	ADP
fis-1316	96	20	the	the	DET
fis-1316	96	21	size	size	NOUN
fis-1316	96	22	increment	increment	NOUN
fis-1316	96	23	chosen	choose	VERB
fis-1316	96	24	—	—	PUNCT
fis-1316	96	25	which	which	PRON
fis-1316	96	26	should	should	AUX
fis-1316	96	27	therefore	therefore	ADV
fis-1316	96	28	be	be	AUX
fis-1316	96	29	not	not	PART
fis-1316	96	30	too	too	ADV
fis-1316	96	31	large	large	ADJ
fis-1316	96	32	.	.	PUNCT
fis-1316	97	1	the	the	DET
fis-1316	97	2	implicit	implicit	ADJ
fis-1316	97	3	formulation	formulation	NOUN
fis-1316	97	4	was	be	AUX
fis-1316	97	5	more	more	ADV
fis-1316	97	6	computationally	computationally	ADV
fis-1316	97	7	expensive	expensive	ADJ
fis-1316	97	8	but	but	CCONJ
fis-1316	97	9	afforded	afford	VERB
fis-1316	97	10	a	a	DET
fis-1316	97	11	greater	great	ADJ
fis-1316	97	12	integration	integration	NOUN
fis-1316	97	13	step	step	NOUN
fis-1316	97	14	and	and	CCONJ
fis-1316	97	15	led	lead	VERB
fis-1316	97	16	to	to	ADP
fis-1316	97	17	faster	fast	ADJ
fis-1316	97	18	solutions	solution	NOUN
fis-1316	97	19	;	;	PUNCT
fis-1316	97	20	also	also	ADV
fis-1316	97	21	,	,	PUNCT
fis-1316	97	22	it	it	PRON
fis-1316	97	23	was	be	AUX
fis-1316	97	24	unconditionally	unconditionally	ADV
fis-1316	97	25	stable	stable	ADJ
fis-1316	97	26	and	and	CCONJ
fis-1316	97	27	ensured	ensure	VERB
fis-1316	97	28	that	that	SCONJ
fis-1316	97	29	the	the	DET
fis-1316	97	30	increment	increment	NOUN
fis-1316	97	31	end	end	NOUN
fis-1316	97	32	-	-	PUNCT
fis-1316	97	33	point	point	NOUN
fis-1316	97	34	was	be	AUX
fis-1316	97	35	on	on	ADP
fis-1316	97	36	the	the	DET
fis-1316	97	37	yield	yield	NOUN
fis-1316	97	38	surface	surface	NOUN
fis-1316	97	39	by	by	ADP
fis-1316	97	40	effect	effect	NOUN
fis-1316	97	41	of	of	ADP
fis-1316	97	42	all	all	DET
fis-1316	97	43	terms	term	NOUN
fis-1316	97	44	and	and	CCONJ
fis-1316	97	45	variables	variable	NOUN
fis-1316	97	46	being	be	AUX
fis-1316	97	47	assessed	assess	VERB
fis-1316	97	48	at	at	ADP
fis-1316	97	49	the	the	DET
fis-1316	97	50	end	end	NOUN
fis-1316	97	51	of	of	ADP
fis-1316	97	52	the	the	DET
fis-1316	97	53	increment	increment	NOUN
fis-1316	97	54	.	.	PUNCT
fis-1316	98	1	explicit	explicit	ADJ
fis-1316	98	2	formulation	formulation	NOUN
fis-1316	98	3	the	the	DET
fis-1316	98	4	explicit	explicit	ADJ
fis-1316	98	5	formulation	formulation	NOUN
fis-1316	98	6	was	be	AUX
fis-1316	98	7	based	base	VERB
fis-1316	98	8	on	on	ADP
fis-1316	98	9	euler	euler	PROPN
fis-1316	98	10	’s	’s	PART
fis-1316	98	11	direct	direct	ADJ
fis-1316	98	12	first	first	ADJ
fis-1316	98	13	-	-	PUNCT
fis-1316	98	14	order	order	NOUN
fis-1316	98	15	scheme	scheme	NOUN
fis-1316	98	16	,	,	PUNCT
fis-1316	98	17	which	which	PRON
fis-1316	98	18	involves	involve	VERB
fis-1316	98	19	updating	update	VERB
fis-1316	98	20	stresses	stress	NOUN
fis-1316	98	21	at	at	ADP
fis-1316	98	22	the	the	DET
fis-1316	98	23	end	end	NOUN
fis-1316	98	24	of	of	ADP
fis-1316	98	25	step	step	NOUN
fis-1316	98	26	1nσ	1nσ	NUM
fis-1316	98	27	from	from	ADP
fis-1316	98	28	those	those	PRON
fis-1316	98	29	at	at	ADP
fis-1316	98	30	the	the	DET
fis-1316	98	31	start	start	NOUN
fis-1316	98	32	(	(	PUNCT
fis-1316	98	33	i.e.	i.e.	X
fis-1316	98	34	,	,	PUNCT
fis-1316	98	35	those	those	PRON
fis-1316	98	36	calculated	calculate	VERB
fis-1316	98	37	at	at	ADP
fis-1316	98	38	the	the	DET
fis-1316	98	39	previous	previous	ADJ
fis-1316	98	40	step	step	NOUN
fis-1316	98	41	,	,	PUNCT
fis-1316	98	42	nσ	nσ	NOUN
fis-1316	98	43	):	):	PUNCT
fis-1316	98	44	1	1	NUM
fis-1316	98	45	d	d	NOUN
fis-1316	98	46	 	 	SPACE
fis-1316	98	47	n	n	CCONJ
fis-1316	98	48	n	n	NOUN
fis-1316	98	49			NOUN
fis-1316	98	50	σ	σ	PROPN
fis-1316	98	51	σ	σ	PROPN
fis-1316	98	52	σ	σ	PROPN
fis-1316	98	53	(	(	PUNCT
fis-1316	98	54	16	16	NUM
fis-1316	98	55	)	)	PUNCT
fis-1316	98	56	where	where	SCONJ
fis-1316	98	57	the	the	DET
fis-1316	98	58	stress	stress	NOUN
fis-1316	98	59	increment	increment	NOUN
fis-1316	98	60	resulting	result	VERB
fis-1316	98	61	from	from	ADP
fis-1316	98	62	the	the	DET
fis-1316	98	63	total	total	ADJ
fis-1316	98	64	deformation	deformation	NOUN
fis-1316	98	65	increment	increment	NOUN
fis-1316	98	66	,	,	PUNCT
fis-1316	98	67	d	d	PROPN
fis-1316	98	68	ε	ε	PROPN
fis-1316	98	69	,	,	PUNCT
fis-1316	98	70	was	be	AUX
fis-1316	98	71	calculated	calculate	VERB
fis-1316	98	72	from	from	ADP
fis-1316	98	73	eq	eq	PROPN
fis-1316	98	74	.	.	PUNCT
fis-1316	99	1	(	(	PUNCT
fis-1316	99	2	15	15	NUM
fis-1316	99	3	)	)	PUNCT
fis-1316	99	4	.	.	PUNCT
fis-1316	100	1	it	it	PRON
fis-1316	100	2	should	should	AUX
fis-1316	100	3	be	be	AUX
fis-1316	100	4	borne	bear	VERB
fis-1316	100	5	in	in	ADP
fis-1316	100	6	mind	mind	NOUN
fis-1316	100	7	that	that	SCONJ
fis-1316	100	8	all	all	DET
fis-1316	100	9	properties	property	NOUN
fis-1316	100	10	included	include	VERB
fis-1316	100	11	in	in	ADP
fis-1316	100	12	the	the	DET
fis-1316	100	13	equations	equation	NOUN
fis-1316	100	14	are	be	AUX
fis-1316	100	15	assessed	assess	VERB
fis-1316	100	16	at	at	ADP
fis-1316	100	17	the	the	DET
fis-1316	100	18	start	start	NOUN
fis-1316	100	19	of	of	ADP
fis-1316	100	20	the	the	DET
fis-1316	100	21	increment	increment	NOUN
fis-1316	100	22	,	,	PUNCT
fis-1316	100	23	which	which	PRON
fis-1316	100	24	can	can	AUX
fis-1316	100	25	lead	lead	VERB
fis-1316	100	26	to	to	ADP
fis-1316	100	27	gross	gross	ADJ
fis-1316	100	28	errors	error	NOUN
fis-1316	100	29	if	if	SCONJ
fis-1316	100	30	the	the	DET
fis-1316	100	31	deformation	deformation	NOUN
fis-1316	100	32	step	step	NOUN
fis-1316	100	33	is	be	AUX
fis-1316	100	34	very	very	ADV
fis-1316	100	35	large	large	ADJ
fis-1316	100	36	.	.	PUNCT
fis-1316	101	1	implicit	implicit	ADJ
fis-1316	101	2	formulation	formulation	NOUN
fis-1316	101	3	one	one	NUM
fis-1316	101	4	of	of	ADP
fis-1316	101	5	the	the	DET
fis-1316	101	6	most	most	ADV
fis-1316	101	7	widely	widely	ADV
fis-1316	101	8	used	use	VERB
fis-1316	101	9	methods	method	NOUN
fis-1316	101	10	for	for	ADP
fis-1316	101	11	implicit	implicit	ADJ
fis-1316	101	12	integration	integration	NOUN
fis-1316	101	13	is	be	AUX
fis-1316	101	14	based	base	VERB
fis-1316	101	15	on	on	ADP
fis-1316	101	16	radial	radial	ADJ
fis-1316	101	17	return	return	NOUN
fis-1316	102	1	[	[	X
fis-1316	102	2	9–11	9–11	NOUN
fis-1316	102	3	]	]	PUNCT
fis-1316	102	4	,	,	PUNCT
fis-1316	102	5	which	which	PRON
fis-1316	102	6	forces	force	VERB
fis-1316	102	7	the	the	DET
fis-1316	102	8	stress	stress	NOUN
fis-1316	102	9	point	point	NOUN
fis-1316	102	10	to	to	PART
fis-1316	102	11	remain	remain	VERB
fis-1316	102	12	on	on	ADP
fis-1316	102	13	the	the	DET
fis-1316	102	14	yield	yield	NOUN
fis-1316	102	15	surface	surface	NOUN
fis-1316	102	16	.	.	PUNCT
fis-1316	103	1	stresses	stress	NOUN
fis-1316	103	2	at	at	ADP
fis-1316	103	3	the	the	DET
fis-1316	103	4	end	end	NOUN
fis-1316	103	5	of	of	ADP
fis-1316	103	6	the	the	DET
fis-1316	103	7	increment	increment	NOUN
fis-1316	103	8	are	be	AUX
fis-1316	103	9	calculated	calculate	VERB
fis-1316	103	10	with	with	ADP
fis-1316	103	11	provision	provision	NOUN
fis-1316	103	12	for	for	ADP
fis-1316	103	13	the	the	DET
fis-1316	103	14	fact	fact	NOUN
fis-1316	103	15	that	that	SCONJ
fis-1316	103	16	the	the	DET
fis-1316	103	17	deformation	deformation	NOUN
fis-1316	103	18	increment	increment	NOUN
fis-1316	103	19	can	can	AUX
fis-1316	103	20	be	be	AUX
fis-1316	103	21	split	split	VERB
fis-1316	103	22	into	into	ADP
fis-1316	103	23	an	an	DET
fis-1316	103	24	elastic	elastic	ADJ
fis-1316	103	25	component	component	NOUN
fis-1316	103	26	and	and	CCONJ
fis-1316	103	27	a	a	DET
fis-1316	103	28	plastic	plastic	ADJ
fis-1316	103	29	component	component	NOUN
fis-1316	103	30	.	.	PUNCT
fis-1316	104	1	therefore	therefore	ADV
fis-1316	104	2	,	,	PUNCT
fis-1316	104	3	1	1	NUM
fis-1316	104	4	e	e	NOUN
fis-1316	104	5	e	e	X
fis-1316	104	6	e	e	X
fis-1316	104	7	e	e	X
fis-1316	104	8	p	p	PROPN
fis-1316	104	9	n	n	PROPN
fis-1316	104	10	n	n	PRON
fis-1316	104	11	nd	nd	NOUN
fis-1316	104	12	d	d	NOUN
fis-1316	104	13	d	d	X
fis-1316	105	1			NUM
fis-1316	105	2			ADV
fis-1316	105	3			PROPN
fis-1316	105	4			ADJ
fis-1316	105	5	ε	ε	ADJ
fis-1316	105	6	ε	ε	PROPN
fis-1316	105	7	ε	ε	PROPN
fis-1316	105	8	ε	ε	PROPN
fis-1316	105	9	ε	ε	PROPN
fis-1316	105	10	ε	ε	PROPN
fis-1316	105	11	(	(	PUNCT
fis-1316	105	12	17	17	NUM
fis-1316	105	13	)	)	PUNCT
fis-1316	105	14	so	so	ADV
fis-1316	105	15	thus	thus	ADV
fis-1316	105	16			NOUN
fis-1316	105	17	1	1	NOUN
fis-1316	106	1	e	e	X
fis-1316	106	2	p	p	PRON
fis-1316	106	3	tr	tr	PROPN
fis-1316	106	4	p	p	NOUN
fis-1316	106	5	n	n	CCONJ
fis-1316	106	6	n	n	NOUN
fis-1316	106	7	d	d	NOUN
fis-1316	106	8	d	d	X
fis-1316	106	9	d	d	X
fis-1316	107	1			NUM
fis-1316	107	2			ADV
fis-1316	107	3			PROPN
fis-1316	107	4			PROPN
fis-1316	108	1	σ	σ	ADJ
fis-1316	108	2	d	d	X
fis-1316	108	3	ε	ε	PROPN
fis-1316	108	4	ε	ε	PROPN
fis-1316	108	5	d	d	X
fis-1316	108	6	ε	ε	PROPN
fis-1316	108	7	σ	σ	PROPN
fis-1316	108	8	d	d	PROPN
fis-1316	108	9	ε	ε	PROPN
fis-1316	108	10	(	(	PUNCT
fis-1316	108	11	18	18	NUM
fis-1316	108	12	)	)	PUNCT
fis-1316	108	13	where	where	SCONJ
fis-1316	108	14	 	 	SPACE
fis-1316	108	15	d	d	NOUN
fis-1316	108	16	is	be	AUX
fis-1316	108	17	the	the	DET
fis-1316	108	18	elastic	elastic	ADJ
fis-1316	108	19	constant	constant	ADJ
fis-1316	108	20	matrix	matrix	NOUN
fis-1316	108	21	and	and	CCONJ
fis-1316	108	22	trσ	trσ	VERB
fis-1316	108	23	the	the	DET
fis-1316	108	24	trial	trial	NOUN
fis-1316	108	25	stress	stress	NOUN
fis-1316	108	26	or	or	CCONJ
fis-1316	108	27	elastic	elastic	ADJ
fis-1316	108	28	estimator	estimator	NOUN
fis-1316	108	29	,	,	PUNCT
fis-1316	108	30	which	which	PRON
fis-1316	108	31	coincides	coincide	VERB
fis-1316	108	32	with	with	ADP
fis-1316	108	33	the	the	DET
fis-1316	108	34	stress	stress	NOUN
fis-1316	108	35	level	level	NOUN
fis-1316	108	36	that	that	PRON
fis-1316	108	37	would	would	AUX
fis-1316	108	38	be	be	AUX
fis-1316	108	39	reached	reach	VERB
fis-1316	108	40	if	if	SCONJ
fis-1316	108	41	the	the	DET
fis-1316	108	42	strain	strain	NOUN
fis-1316	108	43	increment	increment	NOUN
fis-1316	108	44	were	be	AUX
fis-1316	108	45	purely	purely	ADV
fis-1316	108	46	elastic	elastic	ADJ
fis-1316	108	47	.	.	PUNCT
fis-1316	109	1	since	since	SCONJ
fis-1316	109	2	part	part	NOUN
fis-1316	109	3	of	of	ADP
fis-1316	109	4	the	the	DET
fis-1316	109	5	deformation	deformation	NOUN
fis-1316	109	6	is	be	AUX
fis-1316	109	7	plastic	plastic	ADJ
fis-1316	109	8	,	,	PUNCT
fis-1316	109	9	the	the	DET
fis-1316	109	10	test	test	NOUN
fis-1316	109	11	stress	stress	NOUN
fis-1316	109	12	falls	fall	VERB
fis-1316	109	13	off	off	ADP
fis-1316	109	14	the	the	DET
fis-1316	109	15	yield	yield	NOUN
fis-1316	109	16	surface	surface	NOUN
fis-1316	109	17	and	and	CCONJ
fis-1316	109	18	must	must	AUX
fis-1316	109	19	be	be	AUX
fis-1316	109	20	combined	combine	VERB
fis-1316	109	21	with	with	ADP
fis-1316	109	22	the	the	DET
fis-1316	109	23	second	second	ADJ
fis-1316	109	24	term	term	NOUN
fis-1316	109	25	(	(	PUNCT
fis-1316	109	26	the	the	DET
fis-1316	109	27	plastic	plastic	ADJ
fis-1316	109	28	corrector	corrector	NOUN
fis-1316	109	29	)	)	PUNCT
fis-1316	109	30	to	to	PART
fis-1316	109	31	bring	bring	VERB
fis-1316	109	32	it	it	PRON
fis-1316	109	33	back	back	ADV
fis-1316	109	34	on	on	ADP
fis-1316	109	35	the	the	DET
fis-1316	109	36	surface	surface	NOUN
fis-1316	109	37	.	.	PUNCT
fis-1316	110	1	these	these	DET
fis-1316	110	2	non	non	ADJ
fis-1316	110	3	-	-	ADJ
fis-1316	110	4	linear	linear	ADJ
fis-1316	110	5	equations	equation	NOUN
fis-1316	110	6	can	can	AUX
fis-1316	110	7	be	be	AUX
fis-1316	110	8	solved	solve	VERB
fis-1316	110	9	by	by	ADP
fis-1316	110	10	using	use	VERB
fis-1316	110	11	the	the	DET
fis-1316	110	12	newton	newton	PROPN
fis-1316	110	13	–	–	PUNCT
fis-1316	110	14	raphson	raphson	NOUN
fis-1316	110	15	method	method	NOUN
fis-1316	110	16	,	,	PUNCT
fis-1316	110	17	which	which	PRON
fis-1316	110	18	uses	use	VERB
fis-1316	110	19	an	an	DET
fis-1316	110	20	iterative	iterative	ADJ
fis-1316	110	21	procedure	procedure	NOUN
fis-1316	110	22	to	to	PART
fis-1316	110	23	calculate	calculate	VERB
fis-1316	110	24	stresses	stress	NOUN
fis-1316	110	25	at	at	ADP
fis-1316	110	26	the	the	DET
fis-1316	110	27	end	end	NOUN
fis-1316	110	28	of	of	ADP
fis-1316	110	29	the	the	DET
fis-1316	110	30	increment	increment	NOUN
fis-1316	110	31	,	,	PUNCT
fis-1316	110	32	1nσ	1nσ	PROPN
fis-1316	110	33	.	.	PUNCT
fis-1316	111	1	in	in	ADP
fis-1316	111	2	what	what	PRON
fis-1316	111	3	follows	follow	VERB
fis-1316	111	4	,	,	PUNCT
fis-1316	111	5	1nσ	1nσ	PROPN
fis-1316	111	6	is	be	AUX
fis-1316	111	7	denoted	denote	VERB
fis-1316	111	8	in	in	ADP
fis-1316	111	9	simplified	simplified	ADJ
fis-1316	111	10	form	form	NOUN
fis-1316	111	11	by	by	ADP
fis-1316	111	12	σ	σ	PROPN
fis-1316	111	13	.	.	PUNCT
fis-1316	112	1	the	the	DET
fis-1316	112	2	final	final	ADJ
fis-1316	112	3	stress	stress	NOUN
fis-1316	112	4	at	at	ADP
fis-1316	112	5	the	the	DET
fis-1316	112	6	end	end	NOUN
fis-1316	112	7	of	of	ADP
fis-1316	112	8	the	the	DET
fis-1316	112	9	increment	increment	NOUN
fis-1316	112	10	will	will	AUX
fis-1316	112	11	be	be	AUX
fis-1316	112	12	the	the	DET
fis-1316	112	13	σ	σ	PROPN
fis-1316	112	14	value	value	NOUN
fis-1316	112	15	reached	reach	VERB
fis-1316	112	16	at	at	ADP
fis-1316	112	17	the	the	DET
fis-1316	112	18	end	end	NOUN
fis-1316	112	19	of	of	ADP
fis-1316	112	20	the	the	DET
fis-1316	112	21	iterative	iterative	NOUN
fis-1316	112	22	process	process	NOUN
fis-1316	112	23	.	.	PUNCT
fis-1316	113	1	such	such	DET
fis-1316	113	2	a	a	DET
fis-1316	113	3	value	value	NOUN
fis-1316	113	4	is	be	AUX
fis-1316	113	5	calculated	calculate	VERB
fis-1316	113	6	from	from	ADP
fis-1316	113	7	a	a	DET
fis-1316	113	8	residual	residual	ADJ
fis-1316	113	9	stress	stress	NOUN
fis-1316	113	10	ψ	ψ	AUX
fis-1316	113	11	given	give	VERB
fis-1316	113	12	by	by	ADP
fis-1316	113	13	0tr	0tr	ADJ
fis-1316	113	14	pd	pd	PROPN
fis-1316	113	15			NOUN
fis-1316	113	16			VERB
fis-1316	113	17	ψ	ψ	PROPN
fis-1316	113	18	σ	σ	PROPN
fis-1316	113	19	σ	σ	PROPN
fis-1316	113	20	d	d	X
fis-1316	113	21	ε	ε	PROPN
fis-1316	113	22	(	(	PUNCT
fis-1316	113	23	19	19	NUM
fis-1316	113	24	)	)	PUNCT
fis-1316	113	25	substitution	substitution	NOUN
fis-1316	113	26	of	of	ADP
fis-1316	113	27	the	the	DET
fis-1316	113	28	plastic	plastic	ADJ
fis-1316	113	29	strain	strain	NOUN
fis-1316	113	30	increment	increment	NOUN
fis-1316	113	31	(	(	PUNCT
fis-1316	113	32	eq	eq	NOUN
fis-1316	113	33	.	.	PUNCT
fis-1316	114	1	(	(	PUNCT
fis-1316	114	2	12	12	NUM
fis-1316	114	3	)	)	PUNCT
fis-1316	114	4	)	)	PUNCT
fis-1316	114	5	into	into	ADP
fis-1316	114	6	which	which	PRON
fis-1316	114	7	yields	yield	VERB
fis-1316	114	8			PROPN
fis-1316	114	9			NOUN
fis-1316	114	10	0	0	CCONJ
fis-1316	115	1	0tr	0tr	ADJ
fis-1316	115	2			PUNCT
fis-1316	115	3			NOUN
fis-1316	115	4			ADV
fis-1316	115	5			ADJ
fis-1316	115	6			PROPN
fis-1316	115	7	ψ	ψ	PROPN
fis-1316	115	8	σ	σ	PROPN
fis-1316	115	9	σ	σ	PROPN
fis-1316	115	10	d	d	X
fis-1316	115	11	sn	sn	PROPN
fis-1316	115	12	sn	sn	PROPN
fis-1316	115	13	σ	σ	PROPN
fis-1316	115	14	σ	σ	PROPN
fis-1316	115	15	(	(	PUNCT
fis-1316	115	16	20	20	NUM
fis-1316	115	17	)	)	PUNCT
fis-1316	115	18	w	w	PROPN
fis-1316	115	19	c.	c.	PROPN
fis-1316	115	20	madrigal	madrigal	PROPN
fis-1316	115	21	et	et	PROPN
fis-1316	115	22	alii	alii	PROPN
fis-1316	115	23	,	,	PUNCT
fis-1316	115	24	frattura	frattura	PROPN
fis-1316	115	25	ed	ed	PROPN
fis-1316	115	26	integrità	integrità	PROPN
fis-1316	115	27	strutturale	strutturale	PROPN
fis-1316	115	28	,	,	PUNCT
fis-1316	115	29	30	30	NUM
fis-1316	115	30	(	(	PUNCT
fis-1316	115	31	2014	2014	NUM
fis-1316	115	32	)	)	PUNCT
fis-1316	115	33	163	163	NUM
fis-1316	115	34	-	-	SYM
fis-1316	115	35	161	161	NUM
fis-1316	115	36	;	;	PUNCT
fis-1316	115	37	doi	doi	NOUN
fis-1316	115	38	:	:	PUNCT
fis-1316	115	39	10.3221	10.3221	NUM
fis-1316	115	40	/	/	SYM
fis-1316	115	41	igf	igf	PROPN
fis-1316	115	42	-	-	PROPN
fis-1316	115	43	esis.30.20	esis.30.20	PROPN
fis-1316	115	44	158	158	NUM
fis-1316	115	45	where	where	SCONJ
fis-1316	115	46	the	the	DET
fis-1316	115	47	stress	stress	NOUN
fis-1316	115	48	differential	differential	ADJ
fis-1316	115	49	term	term	NOUN
fis-1316	115	50	is	be	AUX
fis-1316	115	51	simply	simply	ADV
fis-1316	115	52	the	the	DET
fis-1316	115	53	difference	difference	NOUN
fis-1316	115	54	between	between	ADP
fis-1316	115	55	the	the	DET
fis-1316	115	56	values	value	NOUN
fis-1316	115	57	at	at	ADP
fis-1316	115	58	the	the	DET
fis-1316	115	59	start	start	NOUN
fis-1316	115	60	(	(	PUNCT
fis-1316	115	61	0σ	0σ	NOUN
fis-1316	115	62	)	)	PUNCT
fis-1316	115	63	and	and	CCONJ
fis-1316	115	64	end	end	NOUN
fis-1316	115	65	of	of	ADP
fis-1316	115	66	the	the	DET
fis-1316	115	67	increment	increment	NOUN
fis-1316	115	68	.	.	PUNCT
fis-1316	116	1	the	the	DET
fis-1316	116	2	residual	residual	ADJ
fis-1316	116	3	stress	stress	NOUN
fis-1316	116	4	can	can	AUX
fis-1316	116	5	be	be	AUX
fis-1316	116	6	approximated	approximate	VERB
fis-1316	116	7	via	via	ADP
fis-1316	116	8	the	the	DET
fis-1316	116	9	taylor	taylor	PROPN
fis-1316	116	10	series	series	PROPN
fis-1316	116	11	0	0	PROPN
fis-1316	117	1			PROPN
fis-1316	117	2			ADP
fis-1316	117	3			ADJ
fis-1316	117	4			PROPN
fis-1316	117	5			PROPN
fis-1316	117	6	ψ	ψ	SYM
fis-1316	117	7	ψ	ψ	PROPN
fis-1316	117	8	σ	σ	PROPN
fis-1316	117	9	σ	σ	PROPN
fis-1316	117	10	(	(	PUNCT
fis-1316	117	11	21	21	NUM
fis-1316	117	12	)	)	PUNCT
fis-1316	117	13	which	which	PRON
fis-1316	117	14	can	can	AUX
fis-1316	117	15	be	be	AUX
fis-1316	117	16	solved	solve	VERB
fis-1316	117	17	for	for	SCONJ
fis-1316	117	18	the	the	DET
fis-1316	117	19	stress	stress	NOUN
fis-1316	117	20	increment	increment	NOUN
fis-1316	117	21	upon	upon	SCONJ
fis-1316	117	22	each	each	DET
fis-1316	117	23	iteration	iteration	NOUN
fis-1316	117	24	:	:	PUNCT
fis-1316	117	25	1	1	NUM
fis-1316	117	26			NOUN
fis-1316	118	1			NUM
fis-1316	118	2			NOUN
fis-1316	118	3			NOUN
fis-1316	118	4			NOUN
fis-1316	118	5	ψ	ψ	X
fis-1316	118	6	ψσ	ψσ	ADP
fis-1316	118	7	σ	σ	PROPN
fis-1316	118	8	(	(	PUNCT
fis-1316	118	9	22	22	NUM
fis-1316	118	10	)	)	PUNCT
fis-1316	118	11	the	the	DET
fis-1316	118	12	final	final	ADJ
fis-1316	118	13	stress	stress	NOUN
fis-1316	118	14	is	be	AUX
fis-1316	118	15	updated	update	VERB
fis-1316	118	16	in	in	ADP
fis-1316	118	17	each	each	DET
fis-1316	118	18	iteration	iteration	NOUN
fis-1316	118	19	by	by	ADP
fis-1316	118	20	using	use	VERB
fis-1316	118	21	the	the	DET
fis-1316	118	22	increment	increment	NOUN
fis-1316	118	23	in	in	ADP
fis-1316	118	24	(	(	PUNCT
fis-1316	118	25	22	22	NUM
fis-1316	118	26	)	)	PUNCT
fis-1316	118	27	.	.	PUNCT
fis-1316	119	1	thus	thus	ADV
fis-1316	119	2	,	,	PUNCT
fis-1316	119	3	1k	1k	PROPN
fis-1316	119	4	k	k	NOUN
fis-1316	119	5			NUM
fis-1316	119	6			NOUN
fis-1316	119	7	σ	σ	PROPN
fis-1316	119	8	σ	σ	PROPN
fis-1316	119	9	σ	σ	PROPN
fis-1316	119	10	(	(	PUNCT
fis-1316	119	11	23	23	NUM
fis-1316	119	12	)	)	PUNCT
fis-1316	119	13	and	and	CCONJ
fis-1316	119	14	the	the	DET
fis-1316	119	15	updated	update	VERB
fis-1316	119	16	stress	stress	NOUN
fis-1316	119	17	is	be	AUX
fis-1316	119	18	used	use	VERB
fis-1316	119	19	to	to	PART
fis-1316	119	20	recalculate	recalculate	VERB
fis-1316	119	21	the	the	DET
fis-1316	119	22	residual	residual	ADJ
fis-1316	119	23	and	and	CCONJ
fis-1316	119	24	update	update	VERB
fis-1316	119	25	the	the	DET
fis-1316	119	26	stress	stress	NOUN
fis-1316	119	27	iteratively	iteratively	ADV
fis-1316	119	28	until	until	SCONJ
fis-1316	119	29	the	the	DET
fis-1316	119	30	preset	preset	ADJ
fis-1316	119	31	tolerance	tolerance	NOUN
fis-1316	119	32	level	level	NOUN
fis-1316	119	33	is	be	AUX
fis-1316	119	34	reached	reach	VERB
fis-1316	119	35	.	.	PUNCT
fis-1316	120	1	1210tr	1210tr	ADJ
fis-1316	120	2	pd	pd	PROPN
fis-1316	120	3			PROPN
fis-1316	120	4			PROPN
fis-1316	120	5			PROPN
fis-1316	120	6	ψ	ψ	PROPN
fis-1316	120	7	σ	σ	PROPN
fis-1316	120	8	σ	σ	PROPN
fis-1316	120	9	d	d	X
fis-1316	120	10	ε	ε	PROPN
fis-1316	120	11	(	(	PUNCT
fis-1316	120	12	24	24	NUM
fis-1316	120	13	)	)	PUNCT
fis-1316	120	14	each	each	DET
fis-1316	120	15	iteration	iteration	NOUN
fis-1316	120	16	updates	update	VERB
fis-1316	120	17	all	all	DET
fis-1316	120	18	terms	term	NOUN
fis-1316	120	19	in	in	ADP
fis-1316	120	20	the	the	DET
fis-1316	120	21	equations	equation	NOUN
fis-1316	120	22	.	.	PUNCT
fis-1316	121	1	as	as	ADP
fis-1316	121	2	a	a	DET
fis-1316	121	3	result	result	NOUN
fis-1316	121	4	,	,	PUNCT
fis-1316	121	5	the	the	DET
fis-1316	121	6	stress	stress	NOUN
fis-1316	121	7	at	at	ADP
fis-1316	121	8	the	the	DET
fis-1316	121	9	end	end	NOUN
fis-1316	121	10	of	of	ADP
fis-1316	121	11	the	the	DET
fis-1316	121	12	increment	increment	NOUN
fis-1316	121	13	,	,	PUNCT
fis-1316	121	14	1nσ	1nσ	NUM
fis-1316	121	15	,	,	PUNCT
fis-1316	121	16	is	be	AUX
fis-1316	121	17	calculated	calculate	VERB
fis-1316	121	18	from	from	ADP
fis-1316	121	19	the	the	DET
fis-1316	121	20	material	material	NOUN
fis-1316	121	21	properties	property	NOUN
fis-1316	121	22	at	at	ADP
fis-1316	121	23	the	the	DET
fis-1316	121	24	corresponding	corresponding	ADJ
fis-1316	121	25	stress	stress	NOUN
fis-1316	121	26	level	level	NOUN
fis-1316	121	27	.	.	PUNCT
fis-1316	122	1	validation	validation	NOUN
fis-1316	122	2	of	of	ADP
fis-1316	122	3	the	the	DET
fis-1316	122	4	code	code	NOUN
fis-1316	122	5	he	he	PRON
fis-1316	122	6	proposed	propose	VERB
fis-1316	122	7	code	code	NOUN
fis-1316	122	8	was	be	AUX
fis-1316	122	9	validated	validate	VERB
fis-1316	122	10	by	by	ADP
fis-1316	122	11	comparison	comparison	NOUN
fis-1316	122	12	of	of	ADP
fis-1316	122	13	its	its	PRON
fis-1316	122	14	numerical	numerical	ADJ
fis-1316	122	15	output	output	NOUN
fis-1316	122	16	with	with	ADP
fis-1316	122	17	experimental	experimental	ADJ
fis-1316	122	18	values	value	NOUN
fis-1316	122	19	.	.	PUNCT
fis-1316	123	1	a	a	DET
fis-1316	123	2	number	number	NOUN
fis-1316	123	3	of	of	ADP
fis-1316	123	4	simulations	simulation	NOUN
fis-1316	123	5	spanning	span	VERB
fis-1316	123	6	a	a	DET
fis-1316	123	7	wide	wide	ADJ
fis-1316	123	8	range	range	NOUN
fis-1316	123	9	of	of	ADP
fis-1316	123	10	complexity	complexity	NOUN
fis-1316	123	11	from	from	ADP
fis-1316	123	12	uniaxial	uniaxial	ADJ
fis-1316	123	13	,	,	PUNCT
fis-1316	123	14	proportional	proportional	ADJ
fis-1316	123	15	loads	load	NOUN
fis-1316	123	16	to	to	ADP
fis-1316	123	17	complex	complex	ADJ
fis-1316	123	18	,	,	PUNCT
fis-1316	123	19	non	non	ADJ
fis-1316	123	20	-	-	ADJ
fis-1316	123	21	proportional	proportional	ADJ
fis-1316	123	22	loads	load	NOUN
fis-1316	123	23	were	be	AUX
fis-1316	123	24	conducted	conduct	VERB
fis-1316	123	25	to	to	ADP
fis-1316	123	26	this	this	DET
fis-1316	123	27	end	end	NOUN
fis-1316	123	28	.	.	PUNCT
fis-1316	124	1	by	by	ADP
fis-1316	124	2	way	way	NOUN
fis-1316	124	3	of	of	ADP
fis-1316	124	4	example	example	NOUN
fis-1316	124	5	,	,	PUNCT
fis-1316	124	6	fig	fig	NOUN
fis-1316	124	7	.	.	PUNCT
fis-1316	124	8	3	3	NUM
fis-1316	124	9	shows	show	VERB
fis-1316	124	10	the	the	DET
fis-1316	124	11	simulation	simulation	NOUN
fis-1316	124	12	of	of	ADP
fis-1316	124	13	a	a	DET
fis-1316	124	14	complex	complex	ADJ
fis-1316	124	15	loading	loading	NOUN
fis-1316	124	16	history	history	NOUN
fis-1316	124	17	reported	report	VERB
fis-1316	124	18	by	by	ADP
fis-1316	124	19	lamba	lamba	NOUN
fis-1316	124	20	et	et	PROPN
fis-1316	124	21	al	al	PROPN
fis-1316	124	22	.	.	PUNCT
fis-1316	125	1	[	[	X
fis-1316	125	2	12	12	NUM
fis-1316	125	3	]	]	PUNCT
fis-1316	125	4	.	.	PUNCT
fis-1316	126	1	the	the	DET
fis-1316	126	2	process	process	NOUN
fis-1316	126	3	,	,	PUNCT
fis-1316	126	4	implemented	implement	VERB
fis-1316	126	5	in	in	ADP
fis-1316	126	6	abaqus	abaqus	NOUN
fis-1316	126	7	,	,	PUNCT
fis-1316	126	8	involved	involve	VERB
fis-1316	126	9	modelling	model	VERB
fis-1316	126	10	a	a	DET
fis-1316	126	11	tube	tube	NOUN
fis-1316	126	12	mimicking	mimic	VERB
fis-1316	126	13	the	the	DET
fis-1316	126	14	straight	straight	ADJ
fis-1316	126	15	portion	portion	NOUN
fis-1316	126	16	of	of	ADP
fis-1316	126	17	the	the	DET
fis-1316	126	18	gauge	gauge	NOUN
fis-1316	126	19	cross	cross	NOUN
fis-1316	126	20	-	-	NOUN
fis-1316	126	21	section	section	NOUN
fis-1316	126	22	of	of	ADP
fis-1316	126	23	the	the	DET
fis-1316	126	24	specimens	specimen	NOUN
fis-1316	126	25	used	use	VERB
fis-1316	126	26	in	in	ADP
fis-1316	126	27	the	the	DET
fis-1316	126	28	experimental	experimental	ADJ
fis-1316	126	29	tests	test	NOUN
fis-1316	126	30	that	that	PRON
fis-1316	126	31	was	be	AUX
fis-1316	126	32	1.15	1.15	NUM
fis-1316	126	33	 	 	SPACE
fis-1316	126	34	cm	cm	NOUN
fis-1316	126	35	in	in	ADP
fis-1316	126	36	outer	outer	ADJ
fis-1316	126	37	radius	radius	NOUN
fis-1316	126	38	,	,	PUNCT
fis-1316	126	39	0.95	0.95	NUM
fis-1316	126	40	 	 	SPACE
fis-1316	126	41	cm	cm	NOUN
fis-1316	126	42	in	in	ADP
fis-1316	126	43	inner	inner	ADJ
fis-1316	126	44	radius	radius	NOUN
fis-1316	126	45	and	and	CCONJ
fis-1316	126	46	3.6	3.6	NUM
fis-1316	126	47	 	 	SPACE
fis-1316	126	48	cm	cm	NOUN
fis-1316	126	49	in	in	ADP
fis-1316	126	50	length	length	NOUN
fis-1316	126	51	.	.	PUNCT
fis-1316	127	1	the	the	DET
fis-1316	127	2	mesh	mesh	NOUN
fis-1316	127	3	was	be	AUX
fis-1316	127	4	constructed	construct	VERB
fis-1316	127	5	from	from	ADP
fis-1316	127	6	three	three	NUM
fis-1316	127	7	-	-	PUNCT
fis-1316	127	8	dimensional	dimensional	ADJ
fis-1316	127	9	c3d20r	c3d20r	PROPN
fis-1316	127	10	solid	solid	ADJ
fis-1316	127	11	elements	element	NOUN
fis-1316	127	12	,	,	PUNCT
fis-1316	127	13	which	which	PRON
fis-1316	127	14	allow	allow	VERB
fis-1316	127	15	the	the	DET
fis-1316	127	16	presence	presence	NOUN
fis-1316	127	17	of	of	ADP
fis-1316	127	18	a	a	DET
fis-1316	127	19	thickness	thickness	NOUN
fis-1316	127	20	stress	stress	NOUN
fis-1316	127	21	gradient	gradient	NOUN
fis-1316	127	22	.	.	PUNCT
fis-1316	128	1	boundary	boundary	ADJ
fis-1316	128	2	conditions	condition	NOUN
fis-1316	128	3	were	be	AUX
fis-1316	128	4	applied	apply	VERB
fis-1316	128	5	by	by	ADP
fis-1316	128	6	linking	link	VERB
fis-1316	128	7	the	the	DET
fis-1316	128	8	upper	upper	ADJ
fis-1316	128	9	and	and	CCONJ
fis-1316	128	10	lower	low	ADJ
fis-1316	128	11	surface	surface	NOUN
fis-1316	128	12	to	to	ADP
fis-1316	128	13	a	a	DET
fis-1316	128	14	reference	reference	NOUN
fis-1316	128	15	node	node	NOUN
fis-1316	128	16	each	each	PRON
fis-1316	128	17	allowing	allow	VERB
fis-1316	128	18	for	for	ADP
fis-1316	128	19	radial	radial	ADJ
fis-1316	128	20	motion	motion	NOUN
fis-1316	128	21	.	.	PUNCT
fis-1316	129	1	the	the	DET
fis-1316	129	2	reference	reference	NOUN
fis-1316	129	3	node	node	VERB
fis-1316	129	4	for	for	ADP
fis-1316	129	5	the	the	DET
fis-1316	129	6	lower	low	ADJ
fis-1316	129	7	surface	surface	NOUN
fis-1316	129	8	was	be	AUX
fis-1316	129	9	fixed	fix	VERB
fis-1316	129	10	whereas	whereas	SCONJ
fis-1316	129	11	that	that	PRON
fis-1316	129	12	for	for	ADP
fis-1316	129	13	the	the	DET
fis-1316	129	14	upper	upper	ADJ
fis-1316	129	15	surface	surface	NOUN
fis-1316	129	16	was	be	AUX
fis-1316	129	17	allowed	allow	VERB
fis-1316	129	18	to	to	PART
fis-1316	129	19	move	move	VERB
fis-1316	129	20	vertically	vertically	ADV
fis-1316	129	21	and	and	CCONJ
fis-1316	129	22	rotate	rotate	VERB
fis-1316	129	23	about	about	ADP
fis-1316	129	24	the	the	DET
fis-1316	129	25	same	same	ADJ
fis-1316	129	26	axis	axis	NOUN
fis-1316	129	27	in	in	ADP
fis-1316	129	28	order	order	NOUN
fis-1316	129	29	to	to	PART
fis-1316	129	30	facilitate	facilitate	VERB
fis-1316	129	31	recording	recording	NOUN
fis-1316	129	32	of	of	ADP
fis-1316	129	33	the	the	DET
fis-1316	129	34	whole	whole	ADJ
fis-1316	129	35	loading	loading	NOUN
fis-1316	129	36	history	history	NOUN
fis-1316	129	37	.	.	PUNCT
fis-1316	130	1	therefore	therefore	ADV
fis-1316	130	2	,	,	PUNCT
fis-1316	130	3	the	the	DET
fis-1316	130	4	boundary	boundary	ADJ
fis-1316	130	5	conditions	condition	NOUN
fis-1316	130	6	involved	involve	VERB
fis-1316	130	7	node	node	ADJ
fis-1316	130	8	displacement	displacement	NOUN
fis-1316	130	9	rather	rather	ADV
fis-1316	130	10	than	than	ADP
fis-1316	130	11	deformation	deformation	NOUN
fis-1316	130	12	.	.	PUNCT
fis-1316	131	1	figure	figure	NOUN
fis-1316	131	2	3	3	NUM
fis-1316	131	3	:	:	PUNCT
fis-1316	131	4	loading	load	VERB
fis-1316	131	5	history	history	NOUN
fis-1316	131	6	imposed	impose	VERB
fis-1316	131	7	in	in	ADP
fis-1316	131	8	the	the	DET
fis-1316	131	9	experiments	experiment	NOUN
fis-1316	131	10	and	and	CCONJ
fis-1316	131	11	simulations	simulation	NOUN
fis-1316	131	12	.	.	PUNCT
fis-1316	132	1	t	t	PROPN
fis-1316	132	2	c.	c.	PROPN
fis-1316	132	3	madrigal	madrigal	PROPN
fis-1316	132	4	et	et	PROPN
fis-1316	132	5	alii	alii	PROPN
fis-1316	132	6	,	,	PUNCT
fis-1316	132	7	frattura	frattura	PROPN
fis-1316	132	8	ed	ed	PROPN
fis-1316	132	9	integrità	integrità	PROPN
fis-1316	132	10	strutturale	strutturale	PROPN
fis-1316	132	11	,	,	PUNCT
fis-1316	132	12	30	30	NUM
fis-1316	132	13	(	(	PUNCT
fis-1316	132	14	2014	2014	NUM
fis-1316	132	15	)	)	PUNCT
fis-1316	132	16	163	163	NUM
fis-1316	132	17	-	-	SYM
fis-1316	132	18	161	161	NUM
fis-1316	132	19	;	;	PUNCT
fis-1316	132	20	doi	doi	NOUN
fis-1316	132	21	:	:	PUNCT
fis-1316	132	22	10.3221	10.3221	NUM
fis-1316	132	23	/	/	SYM
fis-1316	132	24	igf	igf	PROPN
fis-1316	132	25	-	-	PROPN
fis-1316	132	26	esis.30.20	esis.30.20	PROPN
fis-1316	132	27	159	159	NUM
fis-1316	132	28	fig	fig	NOUN
fis-1316	132	29	.	.	PUNCT
fis-1316	133	1	3	3	NUM
fis-1316	133	2	shows	show	VERB
fis-1316	133	3	the	the	DET
fis-1316	133	4	loading	loading	NOUN
fis-1316	133	5	history	history	NOUN
fis-1316	133	6	together	together	ADV
fis-1316	133	7	with	with	ADP
fis-1316	133	8	the	the	DET
fis-1316	133	9	deformations	deformation	NOUN
fis-1316	133	10	imposed	impose	VERB
fis-1316	133	11	in	in	ADP
fis-1316	133	12	the	the	DET
fis-1316	133	13	tests	test	NOUN
fis-1316	133	14	and	and	CCONJ
fis-1316	133	15	the	the	DET
fis-1316	133	16	matlab	matlab	PROPN
fis-1316	133	17	simulation	simulation	NOUN
fis-1316	133	18	.	.	PUNCT
fis-1316	134	1	as	as	SCONJ
fis-1316	134	2	can	can	AUX
fis-1316	134	3	be	be	AUX
fis-1316	134	4	seen	see	VERB
fis-1316	134	5	,	,	PUNCT
fis-1316	134	6	the	the	DET
fis-1316	134	7	amount	amount	NOUN
fis-1316	134	8	of	of	ADP
fis-1316	134	9	deformation	deformation	NOUN
fis-1316	134	10	recorded	record	VERB
fis-1316	134	11	by	by	ADP
fis-1316	134	12	the	the	DET
fis-1316	134	13	abaqus	abaqus	PROPN
fis-1316	134	14	simulation	simulation	NOUN
fis-1316	134	15	was	be	AUX
fis-1316	134	16	not	not	PART
fis-1316	134	17	identical	identical	ADJ
fis-1316	134	18	with	with	ADP
fis-1316	134	19	that	that	PRON
fis-1316	134	20	applied	apply	VERB
fis-1316	134	21	in	in	ADP
fis-1316	134	22	the	the	DET
fis-1316	134	23	tests	test	NOUN
fis-1316	134	24	.	.	PUNCT
fis-1316	135	1	this	this	PRON
fis-1316	135	2	was	be	AUX
fis-1316	135	3	a	a	DET
fis-1316	135	4	result	result	NOUN
fis-1316	135	5	of	of	ADP
fis-1316	135	6	the	the	DET
fis-1316	135	7	boundary	boundary	ADJ
fis-1316	135	8	conditions	condition	NOUN
fis-1316	135	9	in	in	ADP
fis-1316	135	10	abaqus	abaqus	NOUN
fis-1316	135	11	being	be	AUX
fis-1316	135	12	imposed	impose	VERB
fis-1316	135	13	via	via	ADP
fis-1316	135	14	displacements	displacement	NOUN
fis-1316	135	15	rather	rather	ADV
fis-1316	135	16	than	than	ADP
fis-1316	135	17	directly	directly	ADV
fis-1316	135	18	as	as	ADP
fis-1316	135	19	deformations	deformation	NOUN
fis-1316	135	20	.	.	PUNCT
fis-1316	136	1	the	the	DET
fis-1316	136	2	axial	axial	ADJ
fis-1316	136	3	displacement	displacement	NOUN
fis-1316	136	4	to	to	PART
fis-1316	136	5	be	be	AUX
fis-1316	136	6	applied	apply	VERB
fis-1316	136	7	was	be	AUX
fis-1316	136	8	calculated	calculate	VERB
fis-1316	136	9	as	as	ADP
fis-1316	136	10	the	the	DET
fis-1316	136	11	product	product	NOUN
fis-1316	136	12	of	of	ADP
fis-1316	136	13	the	the	DET
fis-1316	136	14	gauge	gauge	ADJ
fis-1316	136	15	length	length	NOUN
fis-1316	136	16	by	by	ADP
fis-1316	136	17	the	the	DET
fis-1316	136	18	desired	desire	VERB
fis-1316	136	19	axial	axial	ADJ
fis-1316	136	20	strain	strain	NOUN
fis-1316	136	21	.	.	PUNCT
fis-1316	137	1	the	the	DET
fis-1316	137	2	shear	shear	NOUN
fis-1316	137	3	strain	strain	NOUN
fis-1316	137	4	was	be	AUX
fis-1316	137	5	calculated	calculate	VERB
fis-1316	137	6	from	from	ADP
fis-1316	137	7	the	the	DET
fis-1316	137	8	relation	relation	NOUN
fis-1316	137	9	between	between	ADP
fis-1316	137	10	the	the	DET
fis-1316	137	11	rotation	rotation	NOUN
fis-1316	137	12	angle	angle	NOUN
fis-1316	137	13			PROPN
fis-1316	137	14	and	and	CCONJ
fis-1316	137	15	the	the	DET
fis-1316	137	16	cross	cross	NOUN
fis-1316	137	17	-	-	NOUN
fis-1316	137	18	section	section	NOUN
fis-1316	137	19	of	of	ADP
fis-1316	137	20	radius	radius	NOUN
fis-1316	137	21	(	(	PUNCT
fis-1316	137	22	r	r	NOUN
fis-1316	137	23	)	)	PUNCT
fis-1316	137	24	and	and	CCONJ
fis-1316	137	25	gauge	gauge	ADJ
fis-1316	137	26	length	length	NOUN
fis-1316	137	27	(	(	PUNCT
fis-1316	137	28	l	l	NOUN
fis-1316	137	29	):	):	PUNCT
fis-1316	137	30	  	  	SPACE
fis-1316	137	31	/l	/l	PUNCT
fis-1316	137	32	r	r	NUM
fis-1316	137	33			PROPN
fis-1316	137	34	.	.	PUNCT
fis-1316	138	1	the	the	DET
fis-1316	138	2	resulting	result	VERB
fis-1316	138	3	estimates	estimate	NOUN
fis-1316	138	4	led	lead	VERB
fis-1316	138	5	to	to	ADP
fis-1316	138	6	axial	axial	ADJ
fis-1316	138	7	strains	strain	NOUN
fis-1316	138	8	nearly	nearly	ADV
fis-1316	138	9	identical	identical	ADJ
fis-1316	138	10	with	with	ADP
fis-1316	138	11	the	the	DET
fis-1316	138	12	experimentally	experimentally	ADV
fis-1316	138	13	determined	determine	VERB
fis-1316	138	14	values	value	NOUN
fis-1316	138	15	and	and	CCONJ
fis-1316	138	16	shear	shear	NOUN
fis-1316	138	17	strains	strain	VERB
fis-1316	138	18	slightly	slightly	ADV
fis-1316	138	19	lower	low	ADJ
fis-1316	138	20	than	than	ADP
fis-1316	138	21	their	their	PRON
fis-1316	138	22	experimental	experimental	ADJ
fis-1316	138	23	counterparts	counterpart	NOUN
fis-1316	138	24	.	.	PUNCT
fis-1316	139	1	figure	figure	VERB
fis-1316	139	2	4	4	NUM
fis-1316	139	3	:	:	PUNCT
fis-1316	139	4	comparison	comparison	NOUN
fis-1316	139	5	of	of	ADP
fis-1316	139	6	the	the	DET
fis-1316	139	7	experimental	experimental	ADJ
fis-1316	139	8	and	and	CCONJ
fis-1316	139	9	numerical	numerical	ADJ
fis-1316	139	10	results	result	NOUN
fis-1316	139	11	for	for	ADP
fis-1316	139	12	the	the	DET
fis-1316	139	13	loading	loading	NOUN
fis-1316	139	14	history	history	NOUN
fis-1316	139	15	shown	show	VERB
fis-1316	139	16	in	in	ADP
fis-1316	139	17	fig	fig	NOUN
fis-1316	139	18	.	.	PUNCT
fis-1316	140	1	3	3	X
fis-1316	140	2	.	.	X
fis-1316	140	3	the	the	DET
fis-1316	140	4	abaqus	abaqus	PROPN
fis-1316	140	5	and	and	CCONJ
fis-1316	140	6	matlab	matlab	PROPN
fis-1316	140	7	predictions	prediction	NOUN
fis-1316	140	8	are	be	AUX
fis-1316	140	9	compared	compare	VERB
fis-1316	140	10	with	with	ADP
fis-1316	140	11	the	the	DET
fis-1316	140	12	experimental	experimental	ADJ
fis-1316	140	13	results	result	NOUN
fis-1316	140	14	of	of	ADP
fis-1316	140	15	lamba	lamba	NOUN
fis-1316	140	16	et	et	PROPN
fis-1316	140	17	al	al	PROPN
fis-1316	140	18	.	.	PUNCT
fis-1316	141	1	[	[	X
fis-1316	141	2	1	1	X
fis-1316	141	3	]	]	PUNCT
fis-1316	141	4	in	in	ADP
fis-1316	141	5	fig	fig	NOUN
fis-1316	141	6	.	.	PUNCT
fis-1316	142	1	4	4	X
fis-1316	142	2	.	.	X
fis-1316	142	3	as	as	SCONJ
fis-1316	142	4	can	can	AUX
fis-1316	142	5	be	be	AUX
fis-1316	142	6	seen	see	VERB
fis-1316	142	7	,	,	PUNCT
fis-1316	142	8	both	both	DET
fis-1316	142	9	numerical	numerical	ADJ
fis-1316	142	10	simulations	simulation	NOUN
fis-1316	142	11	led	lead	VERB
fis-1316	142	12	to	to	ADP
fis-1316	142	13	very	very	ADV
fis-1316	142	14	similar	similar	ADJ
fis-1316	142	15	results	result	NOUN
fis-1316	142	16	that	that	PRON
fis-1316	142	17	were	be	AUX
fis-1316	142	18	also	also	ADV
fis-1316	142	19	similar	similar	ADJ
fis-1316	142	20	to	to	ADP
fis-1316	142	21	the	the	DET
fis-1316	142	22	experimental	experimental	ADJ
fis-1316	142	23	values	value	NOUN
fis-1316	142	24	.	.	PUNCT
fis-1316	143	1	the	the	DET
fis-1316	143	2	two	two	NUM
fis-1316	143	3	curves	curve	NOUN
fis-1316	143	4	differed	differ	VERB
fis-1316	143	5	in	in	ADP
fis-1316	143	6	the	the	DET
fis-1316	143	7	torsional	torsional	ADJ
fis-1316	143	8	branch	branch	NOUN
fis-1316	143	9	by	by	ADP
fis-1316	143	10	effect	effect	NOUN
fis-1316	143	11	of	of	ADP
fis-1316	143	12	slight	slight	ADJ
fis-1316	143	13	differences	difference	NOUN
fis-1316	143	14	in	in	ADP
fis-1316	143	15	their	their	PRON
fis-1316	143	16	imposed	impose	VERB
fis-1316	143	17	shear	shear	NOUN
fis-1316	143	18	deformation	deformation	NOUN
fis-1316	143	19	.	.	PUNCT
fis-1316	144	1	the	the	DET
fis-1316	144	2	difference	difference	NOUN
fis-1316	144	3	could	could	AUX
fis-1316	144	4	be	be	AUX
fis-1316	144	5	lessened	lessen	VERB
fis-1316	144	6	by	by	ADP
fis-1316	144	7	using	use	VERB
fis-1316	144	8	a	a	DET
fis-1316	144	9	finer	fine	ADJ
fis-1316	144	10	mesh	mesh	NOUN
fis-1316	144	11	containing	contain	VERB
fis-1316	144	12	several	several	ADJ
fis-1316	144	13	elements	element	NOUN
fis-1316	144	14	across	across	ADP
fis-1316	144	15	its	its	PRON
fis-1316	144	16	thickness	thickness	NOUN
fis-1316	144	17	in	in	ADP
fis-1316	144	18	order	order	NOUN
fis-1316	144	19	to	to	PART
fis-1316	144	20	more	more	ADV
fis-1316	144	21	accurately	accurately	ADV
fis-1316	144	22	simulate	simulate	VERB
fis-1316	144	23	its	its	PRON
fis-1316	144	24	deformation	deformation	NOUN
fis-1316	144	25	gradient	gradient	NOUN
fis-1316	144	26	.	.	PUNCT
fis-1316	145	1	influence	influence	NOUN
fis-1316	145	2	of	of	ADP
fis-1316	145	3	the	the	DET
fis-1316	145	4	integration	integration	NOUN
fis-1316	145	5	mode	mode	NOUN
fis-1316	145	6	nce	nce	NOUN
fis-1316	145	7	the	the	DET
fis-1316	145	8	required	require	VERB
fis-1316	145	9	equations	equation	NOUN
fis-1316	145	10	were	be	AUX
fis-1316	145	11	implemented	implement	VERB
fis-1316	145	12	and	and	CCONJ
fis-1316	145	13	the	the	DET
fis-1316	145	14	resulting	result	VERB
fis-1316	145	15	code	code	NOUN
fis-1316	145	16	was	be	AUX
fis-1316	145	17	verified	verify	VERB
fis-1316	145	18	,	,	PUNCT
fis-1316	145	19	the	the	DET
fis-1316	145	20	influence	influence	NOUN
fis-1316	145	21	of	of	ADP
fis-1316	145	22	the	the	DET
fis-1316	145	23	particular	particular	ADJ
fis-1316	145	24	integration	integration	NOUN
fis-1316	145	25	mode	mode	NOUN
fis-1316	145	26	used	use	VERB
fis-1316	145	27	on	on	ADP
fis-1316	145	28	the	the	DET
fis-1316	145	29	numerical	numerical	ADJ
fis-1316	145	30	results	result	NOUN
fis-1316	145	31	was	be	AUX
fis-1316	145	32	examined	examine	VERB
fis-1316	145	33	in	in	ADP
fis-1316	145	34	various	various	ADJ
fis-1316	145	35	types	type	NOUN
fis-1316	145	36	of	of	ADP
fis-1316	145	37	tests	test	NOUN
fis-1316	145	38	.	.	PUNCT
fis-1316	146	1	with	with	ADP
fis-1316	146	2	uniaxial	uniaxial	ADJ
fis-1316	146	3	and	and	CCONJ
fis-1316	146	4	proportional	proportional	ADJ
fis-1316	146	5	loads	load	NOUN
fis-1316	146	6	,	,	PUNCT
fis-1316	146	7	the	the	DET
fis-1316	146	8	integration	integration	NOUN
fis-1316	146	9	mode	mode	NOUN
fis-1316	146	10	had	have	VERB
fis-1316	146	11	no	no	DET
fis-1316	146	12	effect	effect	NOUN
fis-1316	146	13	on	on	ADP
fis-1316	146	14	the	the	DET
fis-1316	146	15	results	result	NOUN
fis-1316	146	16	.	.	PUNCT
fis-1316	147	1	fig	fig	NOUN
fis-1316	147	2	.	.	PUNCT
fis-1316	148	1	5	5	NUM
fis-1316	148	2	illustrates	illustrate	VERB
fis-1316	148	3	a	a	DET
fis-1316	148	4	simulated	simulated	ADJ
fis-1316	148	5	test	test	NOUN
fis-1316	148	6	involving	involve	VERB
fis-1316	148	7	proportional	proportional	ADJ
fis-1316	148	8	loads	load	NOUN
fis-1316	148	9	and	and	CCONJ
fis-1316	148	10	both	both	DET
fis-1316	148	11	integration	integration	NOUN
fis-1316	148	12	modes	mode	NOUN
fis-1316	148	13	.	.	PUNCT
fis-1316	149	1	the	the	DET
fis-1316	149	2	graph	graph	NOUN
fis-1316	149	3	only	only	ADV
fis-1316	149	4	shows	show	VERB
fis-1316	149	5	the	the	DET
fis-1316	149	6	torsional	torsional	ADJ
fis-1316	149	7	loops	loop	NOUN
fis-1316	149	8	.	.	PUNCT
fis-1316	150	1	as	as	SCONJ
fis-1316	150	2	can	can	AUX
fis-1316	150	3	be	be	AUX
fis-1316	150	4	seen	see	VERB
fis-1316	150	5	,	,	PUNCT
fis-1316	150	6	the	the	DET
fis-1316	150	7	curves	curve	NOUN
fis-1316	150	8	were	be	AUX
fis-1316	150	9	virtually	virtually	ADV
fis-1316	150	10	indistinguishable	indistinguishable	ADJ
fis-1316	150	11	.	.	PUNCT
fis-1316	151	1	on	on	ADP
fis-1316	151	2	the	the	DET
fis-1316	151	3	other	other	ADJ
fis-1316	151	4	hand	hand	NOUN
fis-1316	151	5	,	,	PUNCT
fis-1316	151	6	the	the	DET
fis-1316	151	7	outcome	outcome	NOUN
fis-1316	151	8	of	of	ADP
fis-1316	151	9	the	the	DET
fis-1316	151	10	tests	test	NOUN
fis-1316	151	11	with	with	ADP
fis-1316	151	12	non	non	ADJ
fis-1316	151	13	-	-	ADJ
fis-1316	151	14	proportional	proportional	ADJ
fis-1316	151	15	loads	load	NOUN
fis-1316	151	16	was	be	AUX
fis-1316	151	17	strongly	strongly	ADV
fis-1316	151	18	affected	affect	VERB
fis-1316	151	19	by	by	ADP
fis-1316	151	20	the	the	DET
fis-1316	151	21	integration	integration	NOUN
fis-1316	151	22	mode	mode	NOUN
fis-1316	151	23	used	use	VERB
fis-1316	151	24	.	.	PUNCT
fis-1316	152	1	fig	fig	NOUN
fis-1316	152	2	.	.	PUNCT
fis-1316	153	1	6	6	NUM
fis-1316	153	2	shows	show	VERB
fis-1316	153	3	its	its	PRON
fis-1316	153	4	influence	influence	NOUN
fis-1316	153	5	on	on	ADP
fis-1316	153	6	the	the	DET
fis-1316	153	7	results	result	NOUN
fis-1316	153	8	of	of	ADP
fis-1316	153	9	a	a	DET
fis-1316	153	10	90	90	NOUN
fis-1316	153	11	out	out	ADP
fis-1316	153	12	-	-	PUNCT
fis-1316	153	13	of	of	ADP
fis-1316	153	14	-	-	PUNCT
fis-1316	153	15	phase	phase	NOUN
fis-1316	153	16	loading	loading	NOUN
fis-1316	153	17	test	test	NOUN
fis-1316	153	18	.	.	PUNCT
fis-1316	154	1	thus	thus	ADV
fis-1316	154	2	,	,	PUNCT
fis-1316	154	3	explicit	explicit	ADJ
fis-1316	154	4	integration	integration	NOUN
fis-1316	154	5	failed	fail	VERB
fis-1316	154	6	to	to	PART
fis-1316	154	7	predict	predict	VERB
fis-1316	154	8	the	the	DET
fis-1316	154	9	empirically	empirically	ADV
fis-1316	154	10	observed	observe	VERB
fis-1316	154	11	levelling	levelling	NOUN
fis-1316	154	12	of	of	ADP
fis-1316	154	13	stresses	stress	NOUN
fis-1316	154	14	.	.	PUNCT
fis-1316	155	1	by	by	ADP
fis-1316	155	2	contrast	contrast	NOUN
fis-1316	155	3	,	,	PUNCT
fis-1316	155	4	implicit	implicit	ADJ
fis-1316	155	5	integration	integration	NOUN
fis-1316	155	6	of	of	ADP
fis-1316	155	7	the	the	DET
fis-1316	155	8	same	same	ADJ
fis-1316	155	9	load	load	NOUN
fis-1316	155	10	history	history	NOUN
fis-1316	155	11	led	lead	VERB
fis-1316	155	12	to	to	ADP
fis-1316	155	13	a	a	DET
fis-1316	155	14	stable	stable	ADJ
fis-1316	155	15	stress	stress	NOUN
fis-1316	155	16	orbit	orbit	NOUN
fis-1316	155	17	.	.	PUNCT
fis-1316	156	1	this	this	PRON
fis-1316	156	2	was	be	AUX
fis-1316	156	3	a	a	DET
fis-1316	156	4	result	result	NOUN
fis-1316	156	5	of	of	ADP
fis-1316	156	6	the	the	DET
fis-1316	156	7	out	out	NOUN
fis-1316	156	8	-	-	PUNCT
fis-1316	156	9	of	of	ADP
fis-1316	156	10	-	-	PUNCT
fis-1316	156	11	phase	phase	NOUN
fis-1316	156	12	test	test	NOUN
fis-1316	156	13	involving	involve	VERB
fis-1316	156	14	a	a	DET
fis-1316	156	15	continuous	continuous	ADJ
fis-1316	156	16	neutral	neutral	ADJ
fis-1316	156	17	load	load	NOUN
fis-1316	156	18	once	once	SCONJ
fis-1316	156	19	stresses	stress	NOUN
fis-1316	156	20	peaked	peak	VERB
fis-1316	156	21	.	.	PUNCT
fis-1316	157	1	explicit	explicit	ADJ
fis-1316	157	2	integration	integration	NOUN
fis-1316	157	3	calculated	calculate	VERB
fis-1316	157	4	the	the	DET
fis-1316	157	5	increment	increment	NOUN
fis-1316	157	6	from	from	ADP
fis-1316	157	7	the	the	DET
fis-1316	157	8	values	value	NOUN
fis-1316	157	9	of	of	ADP
fis-1316	157	10	the	the	DET
fis-1316	157	11	variables	variable	NOUN
fis-1316	157	12	at	at	ADP
fis-1316	157	13	the	the	DET
fis-1316	157	14	start	start	NOUN
fis-1316	157	15	.	.	PUNCT
fis-1316	158	1	with	with	ADP
fis-1316	158	2	a	a	DET
fis-1316	158	3	neutral	neutral	ADJ
fis-1316	158	4	load	load	NOUN
fis-1316	158	5	,	,	PUNCT
fis-1316	158	6	this	this	PRON
fis-1316	158	7	caused	cause	VERB
fis-1316	158	8	the	the	DET
fis-1316	158	9	loading	loading	NOUN
fis-1316	158	10	point	point	NOUN
fis-1316	158	11	in	in	ADP
fis-1316	158	12	the	the	DET
fis-1316	158	13	stress	stress	NOUN
fis-1316	158	14	space	space	NOUN
fis-1316	158	15	to	to	PART
fis-1316	158	16	move	move	VERB
fis-1316	158	17	tangentially	tangentially	ADV
fis-1316	158	18	to	to	ADP
fis-1316	158	19	the	the	DET
fis-1316	158	20	yield	yield	NOUN
fis-1316	158	21	surface	surface	NOUN
fis-1316	158	22	at	at	ADP
fis-1316	158	23	the	the	DET
fis-1316	158	24	start	start	NOUN
fis-1316	158	25	of	of	ADP
fis-1316	158	26	the	the	DET
fis-1316	158	27	step	step	NOUN
fis-1316	158	28	.	.	PUNCT
fis-1316	159	1	with	with	ADP
fis-1316	159	2	a	a	DET
fis-1316	159	3	finite	finite	ADJ
fis-1316	159	4	increment	increment	NOUN
fis-1316	159	5	,	,	PUNCT
fis-1316	159	6	the	the	DET
fis-1316	159	7	end	end	NOUN
fis-1316	159	8	point	point	NOUN
fis-1316	159	9	obviously	obviously	ADV
fis-1316	159	10	lay	lie	VERB
fis-1316	159	11	off	off	ADP
fis-1316	159	12	the	the	DET
fis-1316	159	13	yield	yield	NOUN
fis-1316	159	14	surface	surface	NOUN
fis-1316	159	15	,	,	PUNCT
fis-1316	159	16	the	the	DET
fis-1316	159	17	displacement	displacement	NOUN
fis-1316	159	18	from	from	ADP
fis-1316	159	19	each	each	DET
fis-1316	159	20	increasing	increase	VERB
fis-1316	159	21	on	on	ADP
fis-1316	159	22	each	each	DET
fis-1316	159	23	successive	successive	ADJ
fis-1316	159	24	integration	integration	NOUN
fis-1316	159	25	step	step	NOUN
fis-1316	159	26	.	.	PUNCT
fis-1316	160	1	explicit	explicit	ADJ
fis-1316	160	2	integration	integration	NOUN
fis-1316	160	3	should	should	AUX
fis-1316	160	4	therefore	therefore	ADV
fis-1316	160	5	be	be	AUX
fis-1316	160	6	avoided	avoid	VERB
fis-1316	160	7	when	when	SCONJ
fis-1316	160	8	the	the	DET
fis-1316	160	9	loading	loading	NOUN
fis-1316	160	10	history	history	NOUN
fis-1316	160	11	includes	include	VERB
fis-1316	160	12	a	a	DET
fis-1316	160	13	substantial	substantial	ADJ
fis-1316	160	14	neutral	neutral	ADJ
fis-1316	160	15	load	load	NOUN
fis-1316	160	16	.	.	PUNCT
fis-1316	161	1	implicit	implicit	ADJ
fis-1316	161	2	integration	integration	NOUN
fis-1316	161	3	corrects	correct	VERB
fis-1316	161	4	the	the	DET
fis-1316	161	5	initial	initial	ADJ
fis-1316	161	6	estimate	estimate	NOUN
fis-1316	161	7	by	by	ADP
fis-1316	161	8	forcing	force	VERB
fis-1316	161	9	the	the	DET
fis-1316	161	10	point	point	NOUN
fis-1316	161	11	to	to	PART
fis-1316	161	12	return	return	VERB
fis-1316	161	13	to	to	ADP
fis-1316	161	14	the	the	DET
fis-1316	161	15	yield	yield	NOUN
fis-1316	161	16	surface	surface	NOUN
fis-1316	161	17	iteratively	iteratively	ADV
fis-1316	161	18	before	before	SCONJ
fis-1316	161	19	a	a	DET
fis-1316	161	20	new	new	ADJ
fis-1316	161	21	step	step	NOUN
fis-1316	161	22	is	be	AUX
fis-1316	161	23	taken	take	VERB
fis-1316	161	24	.	.	PUNCT
fis-1316	162	1	therefore	therefore	ADV
fis-1316	162	2	,	,	PUNCT
fis-1316	162	3	implicit	implicit	ADJ
fis-1316	162	4	integration	integration	NOUN
fis-1316	162	5	is	be	AUX
fis-1316	162	6	mandatory	mandatory	ADJ
fis-1316	162	7	in	in	ADP
fis-1316	162	8	simulating	simulate	VERB
fis-1316	162	9	out	out	ADP
fis-1316	162	10	-	-	PUNCT
fis-1316	162	11	of	of	ADP
fis-1316	162	12	-	-	PUNCT
fis-1316	162	13	phase	phase	NOUN
fis-1316	162	14	loading	loading	NOUN
fis-1316	162	15	tests	test	NOUN
fis-1316	162	16	.	.	PUNCT
fis-1316	163	1	o	o	X
fis-1316	163	2	c.	c.	PROPN
fis-1316	163	3	madrigal	madrigal	PROPN
fis-1316	163	4	et	et	PROPN
fis-1316	163	5	alii	alii	PROPN
fis-1316	163	6	,	,	PUNCT
fis-1316	163	7	frattura	frattura	PROPN
fis-1316	163	8	ed	ed	PROPN
fis-1316	163	9	integrità	integrità	PROPN
fis-1316	163	10	strutturale	strutturale	PROPN
fis-1316	163	11	,	,	PUNCT
fis-1316	163	12	30	30	NUM
fis-1316	163	13	(	(	PUNCT
fis-1316	163	14	2014	2014	NUM
fis-1316	163	15	)	)	PUNCT
fis-1316	163	16	163	163	NUM
fis-1316	163	17	-	-	SYM
fis-1316	163	18	161	161	NUM
fis-1316	163	19	;	;	PUNCT
fis-1316	163	20	doi	doi	NOUN
fis-1316	163	21	:	:	PUNCT
fis-1316	163	22	10.3221	10.3221	NUM
fis-1316	163	23	/	/	SYM
fis-1316	163	24	igf	igf	PROPN
fis-1316	163	25	-	-	PROPN
fis-1316	163	26	esis.30.20	esis.30.20	PROPN
fis-1316	163	27	160	160	NUM
fis-1316	163	28	figure	figure	NOUN
fis-1316	163	29	5	5	NUM
fis-1316	163	30	:	:	PUNCT
fis-1316	163	31	implicit	implicit	ADJ
fis-1316	163	32	and	and	CCONJ
fis-1316	163	33	explicit	explicit	ADJ
fis-1316	163	34	simulation	simulation	NOUN
fis-1316	163	35	of	of	ADP
fis-1316	163	36	a	a	DET
fis-1316	163	37	proportional	proportional	ADJ
fis-1316	163	38	test	test	NOUN
fis-1316	163	39	.	.	PUNCT
fis-1316	164	1	torsional	torsional	ADJ
fis-1316	164	2	branch	branch	NOUN
fis-1316	164	3	.	.	PUNCT
fis-1316	165	1	figure	figure	VERB
fis-1316	165	2	6	6	NUM
fis-1316	165	3	:	:	PUNCT
fis-1316	165	4	simulations	simulation	NOUN
fis-1316	165	5	of	of	ADP
fis-1316	165	6	a	a	DET
fis-1316	165	7	90	90	NOUN
fis-1316	165	8	out	out	ADP
fis-1316	165	9	-	-	PUNCT
fis-1316	165	10	of	of	ADP
fis-1316	165	11	-	-	PUNCT
fis-1316	165	12	phase	phase	NOUN
fis-1316	165	13	test	test	NOUN
fis-1316	165	14	.	.	PUNCT
fis-1316	166	1	conclusions	conclusion	NOUN
fis-1316	166	2	mplementing	mplemente	VERB
fis-1316	166	3	a	a	DET
fis-1316	166	4	non	non	ADJ
fis-1316	166	5	-	-	ADJ
fis-1316	166	6	standard	standard	ADJ
fis-1316	166	7	plasticity	plasticity	NOUN
fis-1316	166	8	model	model	NOUN
fis-1316	166	9	in	in	ADP
fis-1316	166	10	commercial	commercial	ADJ
fis-1316	166	11	software	software	NOUN
fis-1316	166	12	enabled	enable	VERB
fis-1316	166	13	application	application	NOUN
fis-1316	166	14	of	of	ADP
fis-1316	166	15	constitutive	constitutive	ADJ
fis-1316	166	16	equations	equation	NOUN
fis-1316	166	17	to	to	ADP
fis-1316	166	18	elements	element	NOUN
fis-1316	166	19	under	under	ADP
fis-1316	166	20	various	various	ADJ
fis-1316	166	21	types	type	NOUN
fis-1316	166	22	of	of	ADP
fis-1316	166	23	loads	load	NOUN
fis-1316	166	24	.	.	PUNCT
fis-1316	167	1	a	a	DET
fis-1316	167	2	simplified	simplify	VERB
fis-1316	167	3	matlab	matlab	PROPN
fis-1316	167	4	scheme	scheme	NOUN
fis-1316	167	5	allowed	allow	VERB
fis-1316	167	6	the	the	DET
fis-1316	167	7	stress	stress	NOUN
fis-1316	167	8	status	status	NOUN
fis-1316	167	9	at	at	ADP
fis-1316	167	10	a	a	DET
fis-1316	167	11	preset	preset	ADJ
fis-1316	167	12	point	point	NOUN
fis-1316	167	13	under	under	ADP
fis-1316	167	14	axial	axial	ADJ
fis-1316	167	15	and	and	CCONJ
fis-1316	167	16	torsional	torsional	ADJ
fis-1316	167	17	loading	loading	NOUN
fis-1316	167	18	to	to	PART
fis-1316	167	19	be	be	AUX
fis-1316	167	20	determined	determine	VERB
fis-1316	167	21	;	;	PUNCT
fis-1316	167	22	also	also	ADV
fis-1316	167	23	,	,	PUNCT
fis-1316	167	24	a	a	DET
fis-1316	167	25	umat	umat	ADJ
fis-1316	167	26	subroutine	subroutine	NOUN
fis-1316	167	27	in	in	ADP
fis-1316	167	28	abaqus	abaqus	PROPN
fis-1316	167	29	/	/	SYM
fis-1316	167	30	standard	standard	NOUN
fis-1316	167	31	allowed	allow	VERB
fis-1316	167	32	simulation	simulation	NOUN
fis-1316	167	33	of	of	ADP
fis-1316	167	34	components	component	NOUN
fis-1316	167	35	subjected	subject	VERB
fis-1316	167	36	to	to	ADP
fis-1316	167	37	general	general	ADJ
fis-1316	167	38	multiaxial	multiaxial	ADJ
fis-1316	167	39	loads	load	NOUN
fis-1316	167	40	.	.	PUNCT
fis-1316	168	1	stresses	stress	NOUN
fis-1316	168	2	in	in	ADP
fis-1316	168	3	both	both	DET
fis-1316	168	4	codes	code	NOUN
fis-1316	168	5	were	be	AUX
fis-1316	168	6	integrated	integrate	VERB
fis-1316	168	7	explicitly	explicitly	ADV
fis-1316	168	8	and	and	CCONJ
fis-1316	168	9	implicitly	implicitly	ADV
fis-1316	168	10	.	.	PUNCT
fis-1316	169	1	the	the	DET
fis-1316	169	2	codes	code	NOUN
fis-1316	169	3	were	be	AUX
fis-1316	169	4	validated	validate	VERB
fis-1316	169	5	by	by	ADP
fis-1316	169	6	simulating	simulate	VERB
fis-1316	169	7	various	various	ADJ
fis-1316	169	8	loading	loading	NOUN
fis-1316	169	9	histories	history	NOUN
fis-1316	169	10	and	and	CCONJ
fis-1316	169	11	comparing	compare	VERB
fis-1316	169	12	the	the	DET
fis-1316	169	13	outcome	outcome	NOUN
fis-1316	169	14	with	with	ADP
fis-1316	169	15	experimental	experimental	ADJ
fis-1316	169	16	values	value	NOUN
fis-1316	169	17	.	.	PUNCT
fis-1316	170	1	based	base	VERB
fis-1316	170	2	on	on	ADP
fis-1316	170	3	the	the	DET
fis-1316	170	4	results	result	NOUN
fis-1316	170	5	,	,	PUNCT
fis-1316	170	6	the	the	DET
fis-1316	170	7	umat	umat	ADJ
fis-1316	170	8	subroutine	subroutine	NOUN
fis-1316	170	9	is	be	AUX
fis-1316	170	10	accurate	accurate	ADJ
fis-1316	170	11	and	and	CCONJ
fis-1316	170	12	applicable	applicable	ADJ
fis-1316	170	13	to	to	ADP
fis-1316	170	14	any	any	DET
fis-1316	170	15	type	type	NOUN
fis-1316	170	16	of	of	ADP
fis-1316	170	17	multiaxial	multiaxial	ADJ
fis-1316	170	18	load	load	NOUN
fis-1316	170	19	,	,	PUNCT
fis-1316	170	20	whether	whether	SCONJ
fis-1316	170	21	proportional	proportional	ADJ
fis-1316	170	22	or	or	CCONJ
fis-1316	170	23	otherwise	otherwise	ADV
fis-1316	170	24	.	.	PUNCT
fis-1316	171	1	the	the	DET
fis-1316	171	2	integration	integration	NOUN
fis-1316	171	3	mode	mode	NOUN
fis-1316	171	4	used	use	VERB
fis-1316	171	5	was	be	AUX
fis-1316	171	6	found	find	VERB
fis-1316	171	7	to	to	PART
fis-1316	171	8	have	have	VERB
fis-1316	171	9	a	a	DET
fis-1316	171	10	strong	strong	ADJ
fis-1316	171	11	impact	impact	NOUN
fis-1316	171	12	on	on	ADP
fis-1316	171	13	the	the	DET
fis-1316	171	14	simulated	simulate	VERB
fis-1316	171	15	results	result	NOUN
fis-1316	171	16	for	for	ADP
fis-1316	171	17	non	non	ADJ
fis-1316	171	18	-	-	ADJ
fis-1316	171	19	proportional	proportional	ADJ
fis-1316	171	20	loading	loading	NOUN
fis-1316	171	21	histories	history	NOUN
fis-1316	171	22	involving	involve	VERB
fis-1316	171	23	substantial	substantial	ADJ
fis-1316	171	24	segments	segment	NOUN
fis-1316	171	25	of	of	ADP
fis-1316	171	26	neutral	neutral	ADJ
fis-1316	171	27	loads	load	NOUN
fis-1316	171	28	.	.	PUNCT
fis-1316	172	1	under	under	ADP
fis-1316	172	2	these	these	DET
fis-1316	172	3	conditions	condition	NOUN
fis-1316	172	4	,	,	PUNCT
fis-1316	172	5	the	the	DET
fis-1316	172	6	explicit	explicit	ADJ
fis-1316	172	7	scheme	scheme	NOUN
fis-1316	172	8	can	can	AUX
fis-1316	172	9	not	not	PART
fis-1316	172	10	retain	retain	VERB
fis-1316	172	11	i	i	PRON
fis-1316	172	12	c.	c.	PROPN
fis-1316	172	13	madrigal	madrigal	PROPN
fis-1316	172	14	et	et	PROPN
fis-1316	172	15	alii	alii	PROPN
fis-1316	172	16	,	,	PUNCT
fis-1316	172	17	frattura	frattura	PROPN
fis-1316	172	18	ed	ed	PROPN
fis-1316	172	19	integrità	integrità	PROPN
fis-1316	172	20	strutturale	strutturale	PROPN
fis-1316	172	21	,	,	PUNCT
fis-1316	172	22	30	30	NUM
fis-1316	172	23	(	(	PUNCT
fis-1316	172	24	2014	2014	NUM
fis-1316	172	25	)	)	PUNCT
fis-1316	172	26	163	163	NUM
fis-1316	172	27	-	-	SYM
fis-1316	172	28	161	161	NUM
fis-1316	172	29	;	;	PUNCT
fis-1316	172	30	doi	doi	NOUN
fis-1316	172	31	:	:	PUNCT
fis-1316	172	32	10.3221	10.3221	NUM
fis-1316	172	33	/	/	SYM
fis-1316	172	34	igf	igf	PROPN
fis-1316	172	35	-	-	PROPN
fis-1316	172	36	esis.30.20	esis.30.20	NOUN
fis-1316	172	37	161	161	NUM
fis-1316	172	38	stresses	stress	NOUN
fis-1316	172	39	on	on	ADP
fis-1316	172	40	the	the	DET
fis-1316	172	41	yield	yield	NOUN
fis-1316	172	42	surface	surface	NOUN
fis-1316	172	43	and	and	CCONJ
fis-1316	172	44	considerable	considerable	ADJ
fis-1316	172	45	errors	error	NOUN
fis-1316	172	46	in	in	ADP
fis-1316	172	47	the	the	DET
fis-1316	172	48	simulated	simulated	ADJ
fis-1316	172	49	values	value	NOUN
fis-1316	172	50	arise	arise	VERB
fis-1316	172	51	as	as	ADP
fis-1316	172	52	a	a	DET
fis-1316	172	53	result	result	NOUN
fis-1316	172	54	.	.	PUNCT
fis-1316	173	1	with	with	ADP
fis-1316	173	2	uniaxial	uniaxial	ADJ
fis-1316	173	3	,	,	PUNCT
fis-1316	173	4	proportional	proportional	ADJ
fis-1316	173	5	loads	load	NOUN
fis-1316	173	6	,	,	PUNCT
fis-1316	173	7	however	however	ADV
fis-1316	173	8	,	,	PUNCT
fis-1316	173	9	the	the	DET
fis-1316	173	10	two	two	NUM
fis-1316	173	11	integration	integration	NOUN
fis-1316	173	12	modes	mode	NOUN
fis-1316	173	13	provide	provide	VERB
fis-1316	173	14	essentially	essentially	ADV
fis-1316	173	15	identical	identical	ADJ
fis-1316	173	16	results	result	NOUN
fis-1316	173	17	.	.	PUNCT
fis-1316	174	1	acknowledgements	acknowledgement	NOUN
fis-1316	174	2	he	he	PRON
fis-1316	174	3	authors	author	NOUN
fis-1316	174	4	would	would	AUX
fis-1316	174	5	like	like	VERB
fis-1316	174	6	to	to	PART
fis-1316	174	7	thank	thank	VERB
fis-1316	174	8	the	the	DET
fis-1316	174	9	spanish	spanish	ADJ
fis-1316	174	10	ministry	ministry	PROPN
fis-1316	174	11	of	of	ADP
fis-1316	174	12	education	education	NOUN
fis-1316	174	13	for	for	ADP
fis-1316	174	14	its	its	PRON
fis-1316	174	15	financial	financial	ADJ
fis-1316	174	16	support	support	NOUN
fis-1316	174	17	through	through	ADP
fis-1316	174	18	grant	grant	NOUN
fis-1316	174	19	dpi2011	dpi2011	ADV
fis-1316	174	20	-	-	PUNCT
fis-1316	174	21	27019	27019	NUM
fis-1316	174	22	.	.	PUNCT
fis-1316	175	1	references	reference	NOUN
fis-1316	175	2	[	[	X
fis-1316	175	3	1	1	NUM
fis-1316	175	4	]	]	X
fis-1316	175	5	wetzel	wetzel	PROPN
fis-1316	175	6	,	,	PUNCT
fis-1316	175	7	r.	r.	PROPN
fis-1316	175	8	m.	m.	PROPN
fis-1316	175	9	,	,	PUNCT
fis-1316	175	10	fatigue	fatigue	NOUN
fis-1316	175	11	under	under	ADP
fis-1316	175	12	complex	complex	ADJ
fis-1316	175	13	loading	loading	NOUN
fis-1316	175	14	:	:	PUNCT
fis-1316	175	15	analyses	analysis	NOUN
fis-1316	175	16	and	and	CCONJ
fis-1316	175	17	experiments	experiment	NOUN
fis-1316	175	18	,	,	PUNCT
fis-1316	175	19	advances	advance	NOUN
fis-1316	175	20	in	in	ADP
fis-1316	175	21	engineering	engineer	VERB
fis-1316	175	22	6	6	NUM
fis-1316	175	23	,	,	PUNCT
fis-1316	175	24	society	society	NOUN
fis-1316	175	25	of	of	ADP
fis-1316	175	26	automotive	automotive	ADJ
fis-1316	175	27	engineers	engineer	NOUN
fis-1316	175	28	,	,	PUNCT
fis-1316	175	29	(	(	PUNCT
fis-1316	175	30	1977	1977	NUM
fis-1316	175	31	)	)	PUNCT
fis-1316	175	32	.	.	PUNCT
fis-1316	176	1	[	[	X
fis-1316	176	2	2	2	NUM
fis-1316	176	3	]	]	PUNCT
fis-1316	176	4	dowling	dowling	NOUN
fis-1316	176	5	,	,	PUNCT
fis-1316	176	6	n.	n.	PROPN
fis-1316	176	7	e.	e.	PROPN
fis-1316	176	8	,	,	PUNCT
fis-1316	176	9	mechanical	mechanical	ADJ
fis-1316	176	10	behavior	behavior	NOUN
fis-1316	176	11	of	of	ADP
fis-1316	176	12	materials	material	NOUN
fis-1316	176	13	.	.	PUNCT
fis-1316	177	1	engineering	engineering	NOUN
fis-1316	177	2	methods	method	NOUN
fis-1316	177	3	for	for	ADP
fis-1316	177	4	deformation	deformation	NOUN
fis-1316	177	5	,	,	PUNCT
fis-1316	177	6	fracture	fracture	NOUN
fis-1316	177	7	,	,	PUNCT
fis-1316	177	8	and	and	CCONJ
fis-1316	177	9	fatigue	fatigue	NOUN
fis-1316	177	10	,	,	PUNCT
fis-1316	177	11	prentice	prentice	NOUN
fis-1316	177	12	-	-	PUNCT
fis-1316	177	13	hall	hall	NOUN
fis-1316	177	14	,	,	PUNCT
fis-1316	177	15	(	(	PUNCT
fis-1316	177	16	1993	1993	NUM
fis-1316	177	17	)	)	PUNCT
fis-1316	177	18	.	.	PUNCT
fis-1316	178	1	[	[	X
fis-1316	178	2	3	3	NUM
fis-1316	178	3	]	]	X
fis-1316	178	4	bannantine	bannantine	NOUN
fis-1316	178	5	,	,	PUNCT
fis-1316	178	6	j.	j.	PROPN
fis-1316	178	7	a.	a.	PROPN
fis-1316	178	8	,	,	PUNCT
fis-1316	178	9	comer	comer	PROPN
fis-1316	178	10	,	,	PUNCT
fis-1316	178	11	j.	j.	PROPN
fis-1316	178	12	j.	j.	PROPN
fis-1316	178	13	,	,	PUNCT
fis-1316	178	14	handrock	handrock	PROPN
fis-1316	178	15	,	,	PUNCT
fis-1316	178	16	j.	j.	PROPN
fis-1316	178	17	,	,	PUNCT
fis-1316	178	18	fundamentals	fundamental	NOUN
fis-1316	178	19	of	of	ADP
fis-1316	178	20	metals	metal	NOUN
fis-1316	178	21	fatigue	fatigue	NOUN
fis-1316	178	22	analysis	analysis	NOUN
fis-1316	178	23	,	,	PUNCT
fis-1316	178	24	prentice	prentice	NOUN
fis-1316	178	25	-	-	PUNCT
fis-1316	178	26	hall	hall	NOUN
fis-1316	178	27	,	,	PUNCT
fis-1316	178	28	inc	inc	PROPN
fis-1316	178	29	.	.	PROPN
fis-1316	178	30	,	,	PUNCT
fis-1316	178	31	(	(	PUNCT
fis-1316	178	32	1990	1990	NUM
fis-1316	178	33	)	)	PUNCT
fis-1316	178	34	.	.	PUNCT
fis-1316	179	1	[	[	X
fis-1316	179	2	4	4	NUM
fis-1316	179	3	]	]	PUNCT
fis-1316	179	4	navarro	navarro	PROPN
fis-1316	179	5	,	,	PUNCT
fis-1316	179	6	a.	a.	NOUN
fis-1316	179	7	,	,	PUNCT
fis-1316	179	8	brown	brown	PROPN
fis-1316	179	9	,	,	PUNCT
fis-1316	179	10	m.	m.	PROPN
fis-1316	179	11	w.	w.	PROPN
fis-1316	179	12	,	,	PUNCT
fis-1316	179	13	a	a	DET
fis-1316	179	14	constitutive	constitutive	ADJ
fis-1316	179	15	model	model	NOUN
fis-1316	179	16	for	for	ADP
fis-1316	179	17	elastic	elastic	ADJ
fis-1316	179	18	-	-	PUNCT
fis-1316	179	19	plastic	plastic	NOUN
fis-1316	179	20	deformation	deformation	NOUN
fis-1316	179	21	under	under	ADP
fis-1316	179	22	cycling	cycle	VERB
fis-1316	179	23	multiaxial	multiaxial	ADJ
fis-1316	179	24	straining	straining	NOUN
fis-1316	179	25	,	,	PUNCT
fis-1316	179	26	fatigue	fatigue	NOUN
fis-1316	179	27	fract	fract	NOUN
fis-1316	179	28	.	.	PUNCT
fis-1316	180	1	eng	eng	PROPN
fis-1316	180	2	.	.	PUNCT
fis-1316	180	3	mater	mater	PROPN
fis-1316	180	4	.	.	PUNCT
fis-1316	180	5	struct	struct	NOUN
fis-1316	180	6	.	.	PUNCT
fis-1316	180	7	,	,	PUNCT
fis-1316	180	8	20	20	NUM
fis-1316	180	9	(	(	PUNCT
fis-1316	180	10	1997	1997	NUM
fis-1316	180	11	)	)	PUNCT
fis-1316	181	1	747–758	747–758	NUM
fis-1316	181	2	.	.	PUNCT
fis-1316	182	1	[	[	X
fis-1316	182	2	5	5	NUM
fis-1316	182	3	]	]	PUNCT
fis-1316	182	4	navarro	navarro	PROPN
fis-1316	182	5	,	,	PUNCT
fis-1316	182	6	a.	a.	NOUN
fis-1316	182	7	,	,	PUNCT
fis-1316	182	8	giráldez	giráldez	PROPN
fis-1316	182	9	,	,	PUNCT
fis-1316	182	10	j.	j.	PROPN
fis-1316	182	11	m.	m.	PROPN
fis-1316	182	12	,	,	PUNCT
fis-1316	182	13	vallellano	vallellano	PROPN
fis-1316	182	14	,	,	PUNCT
fis-1316	182	15	c.	c.	PROPN
fis-1316	182	16	,	,	PUNCT
fis-1316	182	17	a	a	DET
fis-1316	182	18	constitutive	constitutive	ADJ
fis-1316	182	19	model	model	NOUN
fis-1316	182	20	for	for	ADP
fis-1316	182	21	elastoplastic	elastoplastic	ADJ
fis-1316	182	22	deformation	deformation	NOUN
fis-1316	182	23	under	under	ADP
fis-1316	182	24	variable	variable	ADJ
fis-1316	182	25	amplitude	amplitude	NOUN
fis-1316	182	26	multiaxial	multiaxial	ADJ
fis-1316	182	27	cyclic	cyclic	ADJ
fis-1316	182	28	loading	loading	NOUN
fis-1316	182	29	,	,	PUNCT
fis-1316	182	30	int	int	NOUN
fis-1316	182	31	.	.	PUNCT
fis-1316	183	1	j.	j.	PROPN
fis-1316	183	2	fatigue	fatigue	PROPN
fis-1316	183	3	,	,	PUNCT
fis-1316	183	4	27	27	NUM
fis-1316	183	5	(	(	PUNCT
fis-1316	183	6	2005	2005	NUM
fis-1316	183	7	)	)	PUNCT
fis-1316	183	8	838–846	838–846	NUM
fis-1316	183	9	.	.	PUNCT
fis-1316	184	1	[	[	X
fis-1316	184	2	6	6	NUM
fis-1316	184	3	]	]	PUNCT
fis-1316	184	4	navarro	navarro	PROPN
fis-1316	184	5	,	,	PUNCT
fis-1316	184	6	a.	a.	NOUN
fis-1316	184	7	,	,	PUNCT
fis-1316	184	8	madrigal	madrigal	PROPN
fis-1316	184	9	,	,	PUNCT
fis-1316	184	10	c.	c.	PROPN
fis-1316	184	11	,	,	PUNCT
fis-1316	184	12	ecuaciones	ecuacione	VERB
fis-1316	184	13	de	de	X
fis-1316	184	14	flujo	flujo	X
fis-1316	184	15	plástico	plástico	PROPN
fis-1316	184	16	para	para	PROPN
fis-1316	184	17	el	el	PROPN
fis-1316	184	18	método	método	PROPN
fis-1316	184	19	de	de	PROPN
fis-1316	184	20	las	las	PROPN
fis-1316	184	21	deformaciones	deformaciones	PROPN
fis-1316	184	22	locales	locale	VERB
fis-1316	184	23	con	con	PROPN
fis-1316	184	24	carga	carga	PROPN
fis-1316	184	25	multiaxial	multiaxial	ADJ
fis-1316	184	26	,	,	PUNCT
fis-1316	184	27	anal	anal	NOUN
fis-1316	184	28	.	.	PUNCT
fis-1316	185	1	mec	mec	PROPN
fis-1316	185	2	.	.	PROPN
fis-1316	185	3	fract	fract	PROPN
fis-1316	185	4	,	,	PUNCT
fis-1316	185	5	26	26	NUM
fis-1316	185	6	-	-	PUNCT
fis-1316	185	7	ii	ii	NOUN
fis-1316	185	8	(	(	PUNCT
fis-1316	185	9	2009	2009	NUM
fis-1316	185	10	)	)	PUNCT
fis-1316	185	11	417–423	417–423	NUM
fis-1316	185	12	.	.	PUNCT
fis-1316	186	1	[	[	X
fis-1316	186	2	7	7	NUM
fis-1316	186	3	]	]	X
fis-1316	186	4	madrigal	madrigal	PROPN
fis-1316	186	5	,	,	PUNCT
fis-1316	186	6	c.	c.	PROPN
fis-1316	186	7	,	,	PUNCT
fis-1316	186	8	navarro	navarro	PROPN
fis-1316	186	9	,	,	PUNCT
fis-1316	186	10	a.	a.	PROPN
fis-1316	186	11	,	,	PUNCT
fis-1316	186	12	distancia	distancia	PROPN
fis-1316	186	13	en	en	PROPN
fis-1316	186	14	el	el	PROPN
fis-1316	186	15	espacio	espacio	PROPN
fis-1316	186	16	de	de	PROPN
fis-1316	186	17	tensiones	tensiones	PROPN
fis-1316	186	18	y	y	PROPN
fis-1316	186	19	criterios	criterios	PROPN
fis-1316	186	20	de	de	X
fis-1316	186	21	plastificación	plastificación	PROPN
fis-1316	186	22	,	,	PUNCT
fis-1316	186	23	anal	anal	NOUN
fis-1316	186	24	.	.	PUNCT
fis-1316	187	1	mec	mec	PROPN
fis-1316	187	2	.	.	PROPN
fis-1316	187	3	fract	fract	PROPN
fis-1316	187	4	,	,	PUNCT
fis-1316	187	5	28	28	NUM
fis-1316	187	6	-	-	SYM
fis-1316	187	7	ii	ii	PROPN
fis-1316	187	8	(	(	PUNCT
fis-1316	187	9	2011	2011	NUM
fis-1316	187	10	)	)	PUNCT
fis-1316	187	11	571–576	571–576	NUM
fis-1316	187	12	.	.	PUNCT
fis-1316	188	1	[	[	X
fis-1316	188	2	8	8	NUM
fis-1316	188	3	]	]	X
fis-1316	188	4	madrigal	madrigal	PROPN
fis-1316	188	5	,	,	PUNCT
fis-1316	188	6	c.	c.	PROPN
fis-1316	188	7	,	,	PUNCT
fis-1316	188	8	chaves	chave	NOUN
fis-1316	188	9	,	,	PUNCT
fis-1316	188	10	v.	v.	PROPN
fis-1316	188	11	,	,	PUNCT
fis-1316	188	12	navarro	navarro	PROPN
fis-1316	188	13	,	,	PUNCT
fis-1316	188	14	a.	a.	PROPN
fis-1316	188	15	,	,	PUNCT
fis-1316	188	16	aplicación	aplicación	PROPN
fis-1316	188	17	de	de	PROPN
fis-1316	188	18	ecuaciones	ecuaciones	PROPN
fis-1316	188	19	de	de	X
fis-1316	188	20	flujo	flujo	PROPN
fis-1316	188	21	plástico	plástico	PROPN
fis-1316	188	22	basadas	basadas	X
fis-1316	188	23	en	en	X
fis-1316	188	24	la	la	X
fis-1316	188	25	distancia	distancia	PROPN
fis-1316	188	26	en	en	PROPN
fis-1316	188	27	el	el	PROPN
fis-1316	188	28	espacio	espacio	PROPN
fis-1316	188	29	de	de	PROPN
fis-1316	188	30	tensiones	tensiones	PROPN
fis-1316	188	31	a	a	DET
fis-1316	188	32	ensayos	ensayos	ADJ
fis-1316	188	33	cíclicos	cíclico	NOUN
fis-1316	188	34	en	en	ADP
fis-1316	188	35	acero	acero	PROPN
fis-1316	188	36	f125	f125	PROPN
fis-1316	188	37	,	,	PUNCT
fis-1316	188	38	anal	anal	NOUN
fis-1316	188	39	.	.	PUNCT
fis-1316	188	40	mec	mec	PROPN
fis-1316	188	41	.	.	PROPN
fis-1316	188	42	fract	fract	PROPN
fis-1316	188	43	,	,	PUNCT
fis-1316	188	44	30	30	NUM
fis-1316	188	45	-	-	SYM
fis-1316	188	46	i	i	PRON
fis-1316	188	47	(	(	PUNCT
fis-1316	188	48	2013	2013	NUM
fis-1316	188	49	)	)	PUNCT
fis-1316	188	50	187–192	187–192	NUM
fis-1316	188	51	.	.	PUNCT
fis-1316	189	1	[	[	X
fis-1316	189	2	9	9	NUM
fis-1316	189	3	]	]	SYM
fis-1316	189	4	doghri	doghri	PROPN
fis-1316	189	5	,	,	PUNCT
fis-1316	189	6	i.	i.	PROPN
fis-1316	189	7	,	,	PUNCT
fis-1316	189	8	fully	fully	ADV
fis-1316	189	9	implicit	implicit	ADJ
fis-1316	189	10	integration	integration	NOUN
fis-1316	189	11	and	and	CCONJ
fis-1316	189	12	consistent	consistent	ADJ
fis-1316	189	13	tantent	tantent	ADJ
fis-1316	189	14	modulus	modulus	NOUN
fis-1316	189	15	in	in	ADP
fis-1316	189	16	elasto	elasto	NOUN
fis-1316	189	17	-	-	PUNCT
fis-1316	189	18	plasticity	plasticity	NOUN
fis-1316	189	19	,	,	PUNCT
fis-1316	189	20	int	int	NOUN
fis-1316	189	21	.	.	PUNCT
fis-1316	190	1	j.	j.	PROPN
fis-1316	190	2	numer	numer	PROPN
fis-1316	190	3	.	.	PUNCT
fis-1316	190	4	meth	meth	PROPN
fis-1316	190	5	.	.	PUNCT
fis-1316	191	1	eng	eng	PROPN
fis-1316	191	2	.	.	PROPN
fis-1316	191	3	,	,	PUNCT
fis-1316	191	4	36	36	NUM
fis-1316	191	5	(	(	PUNCT
fis-1316	191	6	1993	1993	NUM
fis-1316	191	7	)	)	PUNCT
fis-1316	191	8	3915–3932	3915–3932	NUM
fis-1316	191	9	.	.	PUNCT
fis-1316	192	1	[	[	X
fis-1316	192	2	10	10	NUM
fis-1316	192	3	]	]	X
fis-1316	192	4	hopperstad	hopperstad	NOUN
fis-1316	192	5	,	,	PUNCT
fis-1316	192	6	o.	o.	PROPN
fis-1316	192	7	s.	s.	PROPN
fis-1316	192	8	,	,	PUNCT
fis-1316	192	9	remseth	remseth	PROPN
fis-1316	192	10	,	,	PUNCT
fis-1316	192	11	s.	s.	PROPN
fis-1316	192	12	,	,	PUNCT
fis-1316	192	13	a	a	DET
fis-1316	192	14	return	return	NOUN
fis-1316	192	15	mapping	mapping	NOUN
fis-1316	192	16	algorithm	algorithm	NOUN
fis-1316	192	17	for	for	ADP
fis-1316	192	18	a	a	DET
fis-1316	192	19	class	class	NOUN
fis-1316	192	20	of	of	ADP
fis-1316	192	21	cyclic	cyclic	ADJ
fis-1316	192	22	plastticity	plastticity	NOUN
fis-1316	192	23	models	model	NOUN
fis-1316	192	24	,	,	PUNCT
fis-1316	192	25	int	int	NOUN
fis-1316	192	26	.	.	PUNCT
fis-1316	193	1	j.	j.	PROPN
fis-1316	193	2	numer	numer	PROPN
fis-1316	193	3	.	.	PUNCT
fis-1316	193	4	meth	meth	PROPN
fis-1316	193	5	.	.	PUNCT
fis-1316	194	1	eng	eng	PROPN
fis-1316	194	2	.	.	PROPN
fis-1316	194	3	,	,	PUNCT
fis-1316	194	4	38	38	NUM
fis-1316	194	5	(	(	PUNCT
fis-1316	194	6	1995	1995	NUM
fis-1316	194	7	)	)	PUNCT
fis-1316	195	1	549–564	549–564	NUM
fis-1316	195	2	.	.	PUNCT
fis-1316	196	1	[	[	X
fis-1316	196	2	11	11	NUM
fis-1316	196	3	]	]	X
fis-1316	196	4	kobayashi	kobayashi	PROPN
fis-1316	196	5	,	,	PUNCT
fis-1316	196	6	m.	m.	NOUN
fis-1316	196	7	,	,	PUNCT
fis-1316	196	8	ohno	ohno	PROPN
fis-1316	196	9	,	,	PUNCT
fis-1316	196	10	n.	n.	NOUN
fis-1316	196	11	,	,	PUNCT
fis-1316	196	12	implementation	implementation	NOUN
fis-1316	196	13	of	of	ADP
fis-1316	196	14	cyclic	cyclic	ADJ
fis-1316	196	15	plasticity	plasticity	NOUN
fis-1316	196	16	models	model	NOUN
fis-1316	196	17	based	base	VERB
fis-1316	196	18	on	on	ADP
fis-1316	196	19	a	a	DET
fis-1316	196	20	general	general	ADJ
fis-1316	196	21	form	form	NOUN
fis-1316	196	22	of	of	ADP
fis-1316	196	23	kinematic	kinematic	ADJ
fis-1316	196	24	hardening	hardening	NOUN
fis-1316	196	25	,	,	PUNCT
fis-1316	196	26	int	int	NOUN
fis-1316	196	27	.	.	PUNCT
fis-1316	197	1	j.	j.	PROPN
fis-1316	197	2	numer	numer	PROPN
fis-1316	197	3	.	.	PUNCT
fis-1316	197	4	meth	meth	PROPN
fis-1316	197	5	.	.	PUNCT
fis-1316	198	1	eng	eng	PROPN
fis-1316	198	2	.	.	PROPN
fis-1316	198	3	,	,	PUNCT
fis-1316	198	4	53	53	NUM
fis-1316	198	5	,	,	PUNCT
fis-1316	198	6	(	(	PUNCT
fis-1316	198	7	2002	2002	NUM
fis-1316	198	8	)	)	PUNCT
fis-1316	198	9	2217–2238	2217–2238	NUM
fis-1316	198	10	.	.	PUNCT
fis-1316	199	1	[	[	X
fis-1316	199	2	12	12	NUM
fis-1316	199	3	]	]	X
fis-1316	199	4	lamba	lamba	NOUN
fis-1316	199	5	,	,	PUNCT
fis-1316	199	6	h.	h.	PROPN
fis-1316	199	7	s.	s.	PROPN
fis-1316	199	8	,	,	PUNCT
fis-1316	199	9	sidebottom	sidebottom	PROPN
fis-1316	199	10	,	,	PUNCT
fis-1316	199	11	o.	o.	NOUN
fis-1316	199	12	m.	m.	NOUN
fis-1316	199	13	,	,	PUNCT
fis-1316	199	14	cyclic	cyclic	ADJ
fis-1316	199	15	plasticity	plasticity	NOUN
fis-1316	199	16	for	for	ADP
fis-1316	199	17	nonproportional	nonproportional	ADJ
fis-1316	199	18	paths	path	NOUN
fis-1316	199	19	:	:	PUNCT
fis-1316	199	20	part	part	NOUN
fis-1316	199	21	1	1	NUM
fis-1316	199	22	cyclic	cyclic	ADJ
fis-1316	199	23	hardening	hardening	NOUN
fis-1316	199	24	,	,	PUNCT
fis-1316	199	25	erasure	erasure	NOUN
fis-1316	199	26	of	of	ADP
fis-1316	199	27	memory	memory	NOUN
fis-1316	199	28	,	,	PUNCT
fis-1316	199	29	and	and	CCONJ
fis-1316	199	30	subsequent	subsequent	ADJ
fis-1316	199	31	strain	strain	NOUN
fis-1316	199	32	hardening	harden	VERB
fis-1316	199	33	experiments	experiment	NOUN
fis-1316	199	34	,	,	PUNCT
fis-1316	199	35	j.	j.	PROPN
fis-1316	199	36	eng	eng	PROPN
fis-1316	199	37	.	.	PROPN
fis-1316	199	38	mater	mater	PROPN
fis-1316	199	39	.	.	PUNCT
fis-1316	200	1	technol	technol	PROPN
fis-1316	200	2	.	.	PROPN
fis-1316	200	3	,	,	PUNCT
fis-1316	200	4	100	100	NUM
fis-1316	200	5	(	(	PUNCT
fis-1316	200	6	1978	1978	NUM
fis-1316	200	7	)	)	PUNCT
fis-1316	201	1	96–103	96–103	NUM
fis-1316	201	2	.	.	PUNCT
fis-1316	201	3	t	t	PROPN