id	sid	tid	token	lemma	pos
fis-1243	1	1	microsoft	microsoft	PROPN
fis-1243	1	2	word	word	NOUN
fis-1243	1	3	numero_29_art_11	numero_29_art_11	PROPN
fis-1243	1	4	n.a	n.a	PROPN
fis-1243	1	5	.	.	PROPN
fis-1243	1	6	nodargi	nodargi	PROPN
fis-1243	1	7	et	et	PROPN
fis-1243	1	8	alii	alii	PROPN
fis-1243	1	9	,	,	PUNCT
fis-1243	1	10	frattura	frattura	PROPN
fis-1243	1	11	ed	ed	PROPN
fis-1243	1	12	integrità	integrità	PROPN
fis-1243	1	13	strutturale	strutturale	PROPN
fis-1243	1	14	,	,	PUNCT
fis-1243	1	15	29	29	NUM
fis-1243	1	16	(	(	PUNCT
fis-1243	1	17	2014	2014	NUM
fis-1243	1	18	)	)	PUNCT
fis-1243	1	19	111	111	NUM
fis-1243	1	20	-	-	SYM
fis-1243	1	21	127	127	NUM
fis-1243	1	22	;	;	PUNCT
fis-1243	1	23	doi	doi	NOUN
fis-1243	1	24	:	:	PUNCT
fis-1243	1	25	10.3221	10.3221	NUM
fis-1243	1	26	/	/	SYM
fis-1243	1	27	igf	igf	PROPN
fis-1243	1	28	-	-	PUNCT
fis-1243	1	29	esis.29.11	esis.29.11	VERB
fis-1243	1	30	111	111	NUM
fis-1243	1	31	focussed	focusse	VERB
fis-1243	1	32	on	on	ADP
fis-1243	1	33	:	:	PUNCT
fis-1243	1	34	computational	computational	ADJ
fis-1243	1	35	mechanics	mechanic	NOUN
fis-1243	1	36	and	and	CCONJ
fis-1243	1	37	mechanics	mechanic	NOUN
fis-1243	1	38	of	of	ADP
fis-1243	1	39	materials	material	NOUN
fis-1243	1	40	in	in	ADP
fis-1243	1	41	italy	italy	PROPN
fis-1243	1	42	state	state	NOUN
fis-1243	1	43	update	update	NOUN
fis-1243	1	44	algorithm	algorithm	NOUN
fis-1243	1	45	for	for	ADP
fis-1243	1	46	associative	associative	ADJ
fis-1243	1	47	elastic	elastic	ADJ
fis-1243	1	48	-	-	PUNCT
fis-1243	1	49	plastic	plastic	NOUN
fis-1243	1	50	pressure	pressure	NOUN
fis-1243	1	51	-	-	PUNCT
fis-1243	1	52	insensitive	insensitive	ADJ
fis-1243	1	53	materials	material	NOUN
fis-1243	1	54	by	by	ADP
fis-1243	1	55	incremental	incremental	ADJ
fis-1243	1	56	energy	energy	NOUN
fis-1243	1	57	minimization	minimization	NOUN
fis-1243	1	58	n.a	n.a	PROPN
fis-1243	1	59	.	.	PROPN
fis-1243	1	60	nodargi	nodargi	PROPN
fis-1243	1	61	,	,	PUNCT
fis-1243	1	62	e.	e.	PROPN
fis-1243	1	63	artioli	artioli	PROPN
fis-1243	1	64	,	,	PUNCT
fis-1243	1	65	f.	f.	PROPN
fis-1243	1	66	caselli	caselli	PROPN
fis-1243	1	67	,	,	PUNCT
fis-1243	1	68	p.	p.	PROPN
fis-1243	1	69	bisegna	bisegna	PROPN
fis-1243	1	70	department	department	PROPN
fis-1243	1	71	of	of	ADP
fis-1243	1	72	civil	civil	ADJ
fis-1243	1	73	engineering	engineering	NOUN
fis-1243	1	74	and	and	CCONJ
fis-1243	1	75	computer	computer	NOUN
fis-1243	1	76	science	science	PROPN
fis-1243	1	77	university	university	PROPN
fis-1243	1	78	of	of	ADP
fis-1243	1	79	rome	rome	PROPN
fis-1243	1	80	“	"	PUNCT
fis-1243	1	81	tor	tor	NOUN
fis-1243	1	82	vergata	vergata	NOUN
fis-1243	1	83	”	"	PUNCT
fis-1243	1	84	,	,	PUNCT
fis-1243	1	85	via	via	ADP
fis-1243	1	86	del	del	PROPN
fis-1243	1	87	politecnico	politecnico	PROPN
fis-1243	1	88	1	1	NUM
fis-1243	1	89	,	,	PUNCT
fis-1243	1	90	00133	00133	NUM
fis-1243	1	91	rome	rome	PROPN
fis-1243	1	92	,	,	PUNCT
fis-1243	1	93	italy	italy	PROPN
fis-1243	1	94	{	{	PUNCT
fis-1243	1	95	nodargi	nodargi	PROPN
fis-1243	1	96	,	,	PUNCT
fis-1243	1	97	artioli	artioli	NOUN
fis-1243	1	98	,	,	PUNCT
fis-1243	1	99	caselli	caselli	ADV
fis-1243	1	100	,	,	PUNCT
fis-1243	1	101	bisegna}@ing.uniroma2.it	bisegna}@ing.uniroma2.it	DET
fis-1243	1	102	abstract	abstract	NOUN
fis-1243	1	103	.	.	PUNCT
fis-1243	2	1	this	this	DET
fis-1243	2	2	work	work	NOUN
fis-1243	2	3	presents	present	VERB
fis-1243	2	4	a	a	DET
fis-1243	2	5	new	new	ADJ
fis-1243	2	6	state	state	NOUN
fis-1243	2	7	update	update	NOUN
fis-1243	2	8	algorithm	algorithm	NOUN
fis-1243	2	9	for	for	ADP
fis-1243	2	10	small	small	ADJ
fis-1243	2	11	-	-	PUNCT
fis-1243	2	12	strain	strain	NOUN
fis-1243	2	13	associative	associative	ADJ
fis-1243	2	14	elastic	elastic	ADJ
fis-1243	2	15	-	-	PUNCT
fis-1243	2	16	plastic	plastic	NOUN
fis-1243	2	17	constitutive	constitutive	ADJ
fis-1243	2	18	models	model	NOUN
fis-1243	2	19	,	,	PUNCT
fis-1243	2	20	treating	treat	VERB
fis-1243	2	21	in	in	ADP
fis-1243	2	22	a	a	DET
fis-1243	2	23	unified	unified	ADJ
fis-1243	2	24	manner	manner	NOUN
fis-1243	2	25	a	a	DET
fis-1243	2	26	wide	wide	ADJ
fis-1243	2	27	class	class	NOUN
fis-1243	2	28	of	of	ADP
fis-1243	2	29	deviatoric	deviatoric	ADJ
fis-1243	2	30	yield	yield	NOUN
fis-1243	2	31	functions	function	NOUN
fis-1243	2	32	with	with	ADP
fis-1243	2	33	linear	linear	ADJ
fis-1243	2	34	or	or	CCONJ
fis-1243	2	35	nonlinear	nonlinear	ADJ
fis-1243	2	36	strain	strain	NOUN
fis-1243	2	37	-	-	PUNCT
fis-1243	2	38	hardening	hardening	NOUN
fis-1243	2	39	.	.	PUNCT
fis-1243	3	1	the	the	DET
fis-1243	3	2	algorithm	algorithm	NOUN
fis-1243	3	3	is	be	AUX
fis-1243	3	4	based	base	VERB
fis-1243	3	5	on	on	ADP
fis-1243	3	6	an	an	DET
fis-1243	3	7	incremental	incremental	ADJ
fis-1243	3	8	energy	energy	NOUN
fis-1243	3	9	minimization	minimization	NOUN
fis-1243	3	10	approach	approach	NOUN
fis-1243	3	11	,	,	PUNCT
fis-1243	3	12	in	in	ADP
fis-1243	3	13	the	the	DET
fis-1243	3	14	framework	framework	NOUN
fis-1243	3	15	of	of	ADP
fis-1243	3	16	generalized	generalized	ADJ
fis-1243	3	17	standard	standard	ADJ
fis-1243	3	18	materials	material	NOUN
fis-1243	3	19	with	with	ADP
fis-1243	3	20	convex	convex	NOUN
fis-1243	3	21	free	free	ADJ
fis-1243	3	22	energy	energy	NOUN
fis-1243	3	23	and	and	CCONJ
fis-1243	3	24	dissipation	dissipation	NOUN
fis-1243	3	25	potential	potential	NOUN
fis-1243	3	26	.	.	PUNCT
fis-1243	4	1	an	an	DET
fis-1243	4	2	efficient	efficient	ADJ
fis-1243	4	3	method	method	NOUN
fis-1243	4	4	for	for	ADP
fis-1243	4	5	the	the	DET
fis-1243	4	6	computation	computation	NOUN
fis-1243	4	7	of	of	ADP
fis-1243	4	8	the	the	DET
fis-1243	4	9	latter	latter	ADJ
fis-1243	4	10	,	,	PUNCT
fis-1243	4	11	its	its	PRON
fis-1243	4	12	gradient	gradient	NOUN
fis-1243	4	13	and	and	CCONJ
fis-1243	4	14	its	its	PRON
fis-1243	4	15	hessian	hessian	NOUN
fis-1243	4	16	is	be	AUX
fis-1243	4	17	provided	provide	VERB
fis-1243	4	18	,	,	PUNCT
fis-1243	4	19	using	use	VERB
fis-1243	4	20	haigh	haigh	NOUN
fis-1243	4	21	-	-	PUNCT
fis-1243	4	22	westergaard	westergaard	NOUN
fis-1243	4	23	stress	stress	NOUN
fis-1243	4	24	invariants	invariant	NOUN
fis-1243	4	25	.	.	PUNCT
fis-1243	5	1	numerical	numerical	ADJ
fis-1243	5	2	results	result	NOUN
fis-1243	5	3	on	on	ADP
fis-1243	5	4	a	a	DET
fis-1243	5	5	single	single	ADJ
fis-1243	5	6	material	material	NOUN
fis-1243	5	7	point	point	NOUN
fis-1243	5	8	loading	loading	NOUN
fis-1243	5	9	history	history	NOUN
fis-1243	5	10	and	and	CCONJ
fis-1243	5	11	finite	finite	ADJ
fis-1243	5	12	element	element	NOUN
fis-1243	5	13	simulations	simulation	NOUN
fis-1243	5	14	are	be	AUX
fis-1243	5	15	reported	report	VERB
fis-1243	5	16	to	to	PART
fis-1243	5	17	prove	prove	VERB
fis-1243	5	18	the	the	DET
fis-1243	5	19	effectiveness	effectiveness	NOUN
fis-1243	5	20	and	and	CCONJ
fis-1243	5	21	the	the	DET
fis-1243	5	22	versatility	versatility	NOUN
fis-1243	5	23	of	of	ADP
fis-1243	5	24	the	the	DET
fis-1243	5	25	method	method	NOUN
fis-1243	5	26	.	.	PUNCT
fis-1243	6	1	its	its	PRON
fis-1243	6	2	merit	merit	NOUN
fis-1243	6	3	turns	turn	VERB
fis-1243	6	4	out	out	ADP
fis-1243	6	5	to	to	PART
fis-1243	6	6	be	be	AUX
fis-1243	6	7	complementary	complementary	ADJ
fis-1243	6	8	to	to	ADP
fis-1243	6	9	the	the	DET
fis-1243	6	10	classical	classical	ADJ
fis-1243	6	11	return	return	NOUN
fis-1243	6	12	map	map	NOUN
fis-1243	6	13	strategy	strategy	NOUN
fis-1243	6	14	,	,	PUNCT
fis-1243	6	15	because	because	SCONJ
fis-1243	6	16	no	no	DET
fis-1243	6	17	convergence	convergence	NOUN
fis-1243	6	18	difficulties	difficulty	NOUN
fis-1243	6	19	arise	arise	VERB
fis-1243	6	20	if	if	SCONJ
fis-1243	6	21	the	the	DET
fis-1243	6	22	stress	stress	NOUN
fis-1243	6	23	is	be	AUX
fis-1243	6	24	close	close	ADJ
fis-1243	6	25	to	to	ADP
fis-1243	6	26	high	high	ADJ
fis-1243	6	27	curvature	curvature	NOUN
fis-1243	6	28	points	point	NOUN
fis-1243	6	29	of	of	ADP
fis-1243	6	30	the	the	DET
fis-1243	6	31	yield	yield	NOUN
fis-1243	6	32	surface	surface	NOUN
fis-1243	6	33	.	.	PUNCT
fis-1243	7	1	keywords	keyword	NOUN
fis-1243	7	2	.	.	PUNCT
fis-1243	8	1	plasticity	plasticity	NOUN
fis-1243	8	2	;	;	PUNCT
fis-1243	8	3	hardening	harden	VERB
fis-1243	8	4	;	;	PUNCT
fis-1243	8	5	incremental	incremental	ADJ
fis-1243	8	6	energy	energy	NOUN
fis-1243	8	7	minimization	minimization	NOUN
fis-1243	8	8	;	;	PUNCT
fis-1243	8	9	dissipation	dissipation	NOUN
fis-1243	8	10	;	;	PUNCT
fis-1243	8	11	state	state	NOUN
fis-1243	8	12	update	update	NOUN
fis-1243	8	13	algorithm	algorithm	NOUN
fis-1243	8	14	;	;	PUNCT
fis-1243	8	15	haigh	haigh	NOUN
fis-1243	8	16	-	-	PUNCT
fis-1243	8	17	westergaard	westergaard	NOUN
fis-1243	8	18	coordinates	coordinate	NOUN
fis-1243	8	19	.	.	PUNCT
fis-1243	9	1	introduction	introduction	NOUN
fis-1243	9	2	he	he	PRON
fis-1243	9	3	solution	solution	NOUN
fis-1243	9	4	of	of	ADP
fis-1243	9	5	inelastic	inelastic	ADJ
fis-1243	9	6	structural	structural	ADJ
fis-1243	9	7	boundary	boundary	ADJ
fis-1243	9	8	value	value	NOUN
fis-1243	9	9	problems	problem	NOUN
fis-1243	9	10	in	in	ADP
fis-1243	9	11	a	a	DET
fis-1243	9	12	typical	typical	ADJ
fis-1243	9	13	finite	finite	ADJ
fis-1243	9	14	element	element	NOUN
fis-1243	9	15	implementation	implementation	NOUN
fis-1243	9	16	requires	require	VERB
fis-1243	9	17	the	the	DET
fis-1243	9	18	integration	integration	NOUN
fis-1243	9	19	of	of	ADP
fis-1243	9	20	the	the	DET
fis-1243	9	21	material	material	ADJ
fis-1243	9	22	constitutive	constitutive	ADJ
fis-1243	9	23	law	law	NOUN
fis-1243	9	24	at	at	ADP
fis-1243	9	25	each	each	DET
fis-1243	9	26	gauss	gauss	ADJ
fis-1243	9	27	point	point	NOUN
fis-1243	9	28	.	.	PUNCT
fis-1243	10	1	the	the	DET
fis-1243	10	2	complexity	complexity	NOUN
fis-1243	10	3	of	of	ADP
fis-1243	10	4	hardening	harden	VERB
fis-1243	10	5	elastic	elastic	ADJ
fis-1243	10	6	-	-	PUNCT
fis-1243	10	7	plastic	plastic	NOUN
fis-1243	10	8	constitutive	constitutive	ADJ
fis-1243	10	9	equations	equation	NOUN
fis-1243	10	10	requires	require	VERB
fis-1243	10	11	their	their	PRON
fis-1243	10	12	time	time	NOUN
fis-1243	10	13	discretization	discretization	NOUN
fis-1243	10	14	and	and	CCONJ
fis-1243	10	15	numerical	numerical	ADJ
fis-1243	10	16	integration	integration	NOUN
fis-1243	10	17	on	on	ADP
fis-1243	10	18	a	a	DET
fis-1243	10	19	sequence	sequence	NOUN
fis-1243	10	20	of	of	ADP
fis-1243	10	21	finite	finite	ADJ
fis-1243	10	22	time	time	NOUN
fis-1243	10	23	steps	step	NOUN
fis-1243	10	24	.	.	PUNCT
fis-1243	11	1	this	this	DET
fis-1243	11	2	procedure	procedure	NOUN
fis-1243	11	3	is	be	AUX
fis-1243	11	4	referred	refer	VERB
fis-1243	11	5	to	to	ADP
fis-1243	11	6	as	as	ADP
fis-1243	11	7	the	the	DET
fis-1243	11	8	state	state	NOUN
fis-1243	11	9	update	update	NOUN
fis-1243	11	10	algorithm	algorithm	NOUN
fis-1243	11	11	.	.	PUNCT
fis-1243	12	1	the	the	DET
fis-1243	12	2	most	most	ADV
fis-1243	12	3	traditional	traditional	ADJ
fis-1243	12	4	way	way	NOUN
fis-1243	12	5	to	to	PART
fis-1243	12	6	formulate	formulate	VERB
fis-1243	12	7	the	the	DET
fis-1243	12	8	associative	associative	ADJ
fis-1243	12	9	plasticity	plasticity	NOUN
fis-1243	12	10	constitutive	constitutive	ADJ
fis-1243	12	11	law	law	NOUN
fis-1243	12	12	is	be	AUX
fis-1243	12	13	based	base	VERB
fis-1243	12	14	on	on	ADP
fis-1243	12	15	the	the	DET
fis-1243	12	16	assumption	assumption	NOUN
fis-1243	12	17	of	of	ADP
fis-1243	12	18	a	a	DET
fis-1243	12	19	convex	convex	NOUN
fis-1243	12	20	yield	yield	NOUN
fis-1243	12	21	function	function	NOUN
fis-1243	12	22	and	and	CCONJ
fis-1243	12	23	the	the	DET
fis-1243	12	24	adoption	adoption	NOUN
fis-1243	12	25	of	of	ADP
fis-1243	12	26	a	a	DET
fis-1243	12	27	normality	normality	NOUN
fis-1243	12	28	law	law	NOUN
fis-1243	12	29	to	to	PART
fis-1243	12	30	determine	determine	VERB
fis-1243	12	31	the	the	DET
fis-1243	12	32	plastic	plastic	ADJ
fis-1243	12	33	flow	flow	NOUN
fis-1243	12	34	.	.	PUNCT
fis-1243	13	1	a	a	DET
fis-1243	13	2	widely	widely	ADV
fis-1243	13	3	used	use	VERB
fis-1243	13	4	class	class	NOUN
fis-1243	13	5	of	of	ADP
fis-1243	13	6	constitutive	constitutive	ADJ
fis-1243	13	7	updates	update	NOUN
fis-1243	13	8	exploiting	exploit	VERB
fis-1243	13	9	this	this	DET
fis-1243	13	10	framework	framework	NOUN
fis-1243	13	11	is	be	AUX
fis-1243	13	12	the	the	DET
fis-1243	13	13	so	so	ADV
fis-1243	13	14	-	-	PUNCT
fis-1243	13	15	called	call	VERB
fis-1243	13	16	return	return	NOUN
fis-1243	13	17	mapping	mapping	NOUN
fis-1243	13	18	algorithms	algorithm	NOUN
fis-1243	13	19	.	.	PUNCT
fis-1243	14	1	while	while	SCONJ
fis-1243	14	2	the	the	DET
fis-1243	14	3	basic	basic	ADJ
fis-1243	14	4	idea	idea	NOUN
fis-1243	14	5	dates	date	VERB
fis-1243	14	6	back	back	ADV
fis-1243	14	7	to	to	ADP
fis-1243	14	8	the	the	DET
fis-1243	14	9	work	work	NOUN
fis-1243	14	10	of	of	ADP
fis-1243	14	11	wilkins	wilkins	PROPN
fis-1243	14	12	[	[	X
fis-1243	14	13	1	1	NUM
fis-1243	14	14	]	]	PUNCT
fis-1243	14	15	,	,	PUNCT
fis-1243	14	16	all	all	DET
fis-1243	14	17	the	the	DET
fis-1243	14	18	return	return	NOUN
fis-1243	14	19	mapping	mapping	NOUN
fis-1243	14	20	algorithms	algorithm	NOUN
fis-1243	14	21	share	share	VERB
fis-1243	14	22	the	the	DET
fis-1243	14	23	use	use	NOUN
fis-1243	14	24	of	of	ADP
fis-1243	14	25	an	an	DET
fis-1243	14	26	elastic	elastic	ADJ
fis-1243	14	27	-	-	PUNCT
fis-1243	14	28	predictor	predictor	NOUN
fis-1243	14	29	,	,	PUNCT
fis-1243	14	30	plastic	plastic	NOUN
fis-1243	14	31	-	-	PUNCT
fis-1243	14	32	corrector	corrector	NOUN
fis-1243	14	33	strategy	strategy	NOUN
fis-1243	14	34	.	.	PUNCT
fis-1243	15	1	in	in	ADP
fis-1243	15	2	particular	particular	ADJ
fis-1243	15	3	,	,	PUNCT
fis-1243	15	4	in	in	ADP
fis-1243	15	5	a	a	DET
fis-1243	15	6	first	first	ADJ
fis-1243	15	7	step	step	NOUN
fis-1243	15	8	the	the	DET
fis-1243	15	9	algorithm	algorithm	NOUN
fis-1243	15	10	checks	check	VERB
fis-1243	15	11	whether	whether	SCONJ
fis-1243	15	12	the	the	DET
fis-1243	15	13	elastic	elastic	ADJ
fis-1243	15	14	trial	trial	NOUN
fis-1243	15	15	state	state	NOUN
fis-1243	15	16	is	be	AUX
fis-1243	15	17	plastically	plastically	ADV
fis-1243	15	18	admissible	admissible	ADJ
fis-1243	15	19	.	.	PUNCT
fis-1243	16	1	if	if	SCONJ
fis-1243	16	2	such	such	ADJ
fis-1243	16	3	is	be	AUX
fis-1243	16	4	not	not	PART
fis-1243	16	5	the	the	DET
fis-1243	16	6	case	case	NOUN
fis-1243	16	7	,	,	PUNCT
fis-1243	16	8	a	a	DET
fis-1243	16	9	solution	solution	NOUN
fis-1243	16	10	for	for	ADP
fis-1243	16	11	the	the	DET
fis-1243	16	12	time	time	NOUN
fis-1243	16	13	-	-	PUNCT
fis-1243	16	14	discrete	discrete	ADJ
fis-1243	16	15	plastic	plastic	NOUN
fis-1243	16	16	evolution	evolution	NOUN
fis-1243	16	17	equations	equation	NOUN
fis-1243	16	18	is	be	AUX
fis-1243	16	19	sought	seek	VERB
fis-1243	16	20	for	for	ADP
fis-1243	16	21	in	in	ADP
fis-1243	16	22	the	the	DET
fis-1243	16	23	plastic	plastic	ADJ
fis-1243	16	24	corrector	corrector	NOUN
fis-1243	16	25	step	step	NOUN
fis-1243	16	26	.	.	PUNCT
fis-1243	17	1	from	from	ADP
fis-1243	17	2	a	a	DET
fis-1243	17	3	geometric	geometric	ADJ
fis-1243	17	4	standpoint	standpoint	NOUN
fis-1243	17	5	,	,	PUNCT
fis-1243	17	6	the	the	DET
fis-1243	17	7	return	return	NOUN
fis-1243	17	8	map	map	NOUN
fis-1243	17	9	algorithm	algorithm	NOUN
fis-1243	17	10	amounts	amount	VERB
fis-1243	17	11	to	to	ADP
fis-1243	17	12	finding	find	VERB
fis-1243	17	13	the	the	DET
fis-1243	17	14	closest	close	ADJ
fis-1243	17	15	point	point	NOUN
fis-1243	17	16	projection	projection	NOUN
fis-1243	17	17	,	,	PUNCT
fis-1243	17	18	in	in	ADP
fis-1243	17	19	a	a	DET
fis-1243	17	20	suitable	suitable	ADJ
fis-1243	17	21	norm	norm	NOUN
fis-1243	17	22	,	,	PUNCT
fis-1243	17	23	of	of	ADP
fis-1243	17	24	the	the	DET
fis-1243	17	25	elastic	elastic	ADJ
fis-1243	17	26	trial	trial	NOUN
fis-1243	17	27	state	state	NOUN
fis-1243	17	28	on	on	ADP
fis-1243	17	29	the	the	DET
fis-1243	17	30	yield	yield	NOUN
fis-1243	17	31	domain	domain	NOUN
fis-1243	17	32	.	.	PUNCT
fis-1243	18	1	to	to	ADP
fis-1243	18	2	this	this	DET
fis-1243	18	3	purpose	purpose	NOUN
fis-1243	18	4	,	,	PUNCT
fis-1243	18	5	a	a	DET
fis-1243	18	6	typical	typical	ADJ
fis-1243	18	7	method	method	NOUN
fis-1243	18	8	pursued	pursue	VERB
fis-1243	18	9	among	among	ADP
fis-1243	18	10	others	other	NOUN
fis-1243	18	11	in	in	ADP
fis-1243	18	12	[	[	PUNCT
fis-1243	18	13	2	2	NUM
fis-1243	18	14	-	-	SYM
fis-1243	18	15	6	6	NUM
fis-1243	18	16	]	]	PUNCT
fis-1243	18	17	consists	consist	VERB
fis-1243	18	18	in	in	ADP
fis-1243	18	19	the	the	DET
fis-1243	18	20	iterative	iterative	NOUN
fis-1243	18	21	t	t	PROPN
fis-1243	18	22	n.a	n.a	PROPN
fis-1243	18	23	.	.	PROPN
fis-1243	18	24	nodargi	nodargi	PROPN
fis-1243	18	25	et	et	PROPN
fis-1243	18	26	alii	alii	PROPN
fis-1243	18	27	,	,	PUNCT
fis-1243	18	28	frattura	frattura	PROPN
fis-1243	18	29	ed	ed	PROPN
fis-1243	18	30	integrità	integrità	PROPN
fis-1243	18	31	strutturale	strutturale	PROPN
fis-1243	18	32	,	,	PUNCT
fis-1243	18	33	29	29	NUM
fis-1243	18	34	(	(	PUNCT
fis-1243	18	35	2014	2014	NUM
fis-1243	18	36	)	)	PUNCT
fis-1243	18	37	111	111	NUM
fis-1243	18	38	-	-	SYM
fis-1243	18	39	127	127	NUM
fis-1243	18	40	;	;	PUNCT
fis-1243	18	41	doi	doi	NOUN
fis-1243	18	42	:	:	PUNCT
fis-1243	18	43	10.3221	10.3221	NUM
fis-1243	18	44	/	/	SYM
fis-1243	18	45	igf	igf	PROPN
fis-1243	18	46	-	-	PUNCT
fis-1243	18	47	esis.29.11	esis.29.11	ADJ
fis-1243	18	48	112	112	NUM
fis-1243	18	49	solution	solution	NOUN
fis-1243	18	50	by	by	ADP
fis-1243	18	51	a	a	DET
fis-1243	18	52	newton	newton	PROPN
fis-1243	18	53	-	-	PUNCT
fis-1243	18	54	raphson	raphson	NOUN
fis-1243	18	55	scheme	scheme	NOUN
fis-1243	18	56	.	.	PUNCT
fis-1243	19	1	that	that	DET
fis-1243	19	2	strategy	strategy	NOUN
fis-1243	19	3	appears	appear	VERB
fis-1243	19	4	to	to	PART
fis-1243	19	5	be	be	AUX
fis-1243	19	6	attractive	attractive	ADJ
fis-1243	19	7	because	because	SCONJ
fis-1243	19	8	of	of	ADP
fis-1243	19	9	the	the	DET
fis-1243	19	10	quadratic	quadratic	ADJ
fis-1243	19	11	rate	rate	NOUN
fis-1243	19	12	of	of	ADP
fis-1243	19	13	convergence	convergence	NOUN
fis-1243	19	14	of	of	ADP
fis-1243	19	15	newton	newton	PROPN
fis-1243	19	16	method	method	PROPN
fis-1243	19	17	,	,	PUNCT
fis-1243	19	18	preserved	preserve	VERB
fis-1243	19	19	by	by	ADP
fis-1243	19	20	the	the	DET
fis-1243	19	21	adoption	adoption	NOUN
fis-1243	19	22	of	of	ADP
fis-1243	19	23	an	an	DET
fis-1243	19	24	algorithmically	algorithmically	ADV
fis-1243	19	25	consistent	consistent	ADJ
fis-1243	19	26	tangent	tangent	NOUN
fis-1243	19	27	operator	operator	NOUN
fis-1243	19	28	.	.	PUNCT
fis-1243	20	1	details	detail	NOUN
fis-1243	20	2	on	on	ADP
fis-1243	20	3	the	the	DET
fis-1243	20	4	subject	subject	NOUN
fis-1243	20	5	can	can	AUX
fis-1243	20	6	be	be	AUX
fis-1243	20	7	found	find	VERB
fis-1243	20	8	in	in	ADP
fis-1243	20	9	several	several	ADJ
fis-1243	20	10	recent	recent	ADJ
fis-1243	20	11	textbooks	textbook	NOUN
fis-1243	20	12	,	,	PUNCT
fis-1243	20	13	e.g.	e.g.	ADV
fis-1243	20	14	[	[	X
fis-1243	20	15	7	7	NUM
fis-1243	20	16	-	-	SYM
fis-1243	20	17	11	11	NUM
fis-1243	20	18	]	]	PUNCT
fis-1243	20	19	.	.	PUNCT
fis-1243	21	1	however	however	ADV
fis-1243	21	2	,	,	PUNCT
fis-1243	21	3	in	in	ADP
fis-1243	21	4	many	many	ADJ
fis-1243	21	5	cases	case	NOUN
fis-1243	21	6	of	of	ADP
fis-1243	21	7	practical	practical	ADJ
fis-1243	21	8	interest	interest	NOUN
fis-1243	21	9	,	,	PUNCT
fis-1243	21	10	the	the	DET
fis-1243	21	11	localconvergence	localconvergence	NOUN
fis-1243	21	12	characteristic	characteristic	NOUN
fis-1243	21	13	of	of	ADP
fis-1243	21	14	newton	newton	PROPN
fis-1243	21	15	schemes	scheme	NOUN
fis-1243	21	16	does	do	AUX
fis-1243	21	17	not	not	PART
fis-1243	21	18	guarantee	guarantee	VERB
fis-1243	21	19	global	global	ADJ
fis-1243	21	20	convergence	convergence	NOUN
fis-1243	21	21	[	[	X
fis-1243	21	22	12	12	NUM
fis-1243	21	23	-	-	SYM
fis-1243	21	24	14	14	NUM
fis-1243	21	25	]	]	PUNCT
fis-1243	21	26	.	.	PUNCT
fis-1243	22	1	for	for	ADP
fis-1243	22	2	instance	instance	NOUN
fis-1243	22	3	,	,	PUNCT
fis-1243	22	4	convergence	convergence	NOUN
fis-1243	22	5	may	may	AUX
fis-1243	22	6	not	not	PART
fis-1243	22	7	be	be	AUX
fis-1243	22	8	attained	attain	VERB
fis-1243	22	9	for	for	ADP
fis-1243	22	10	elastic	elastic	ADJ
fis-1243	22	11	trial	trial	NOUN
fis-1243	22	12	stress	stress	NOUN
fis-1243	22	13	in	in	ADP
fis-1243	22	14	the	the	DET
fis-1243	22	15	neighborhood	neighborhood	NOUN
fis-1243	22	16	of	of	ADP
fis-1243	22	17	high	high	ADJ
fis-1243	22	18	curvature	curvature	NOUN
fis-1243	22	19	points	point	NOUN
fis-1243	22	20	of	of	ADP
fis-1243	22	21	the	the	DET
fis-1243	22	22	yield	yield	NOUN
fis-1243	22	23	surface	surface	NOUN
fis-1243	22	24	[	[	X
fis-1243	22	25	15	15	NUM
fis-1243	22	26	]	]	PUNCT
fis-1243	22	27	.	.	PUNCT
fis-1243	23	1	in	in	ADP
fis-1243	23	2	the	the	DET
fis-1243	23	3	literature	literature	NOUN
fis-1243	23	4	,	,	PUNCT
fis-1243	23	5	various	various	ADJ
fis-1243	23	6	techniques	technique	NOUN
fis-1243	23	7	have	have	AUX
fis-1243	23	8	been	be	AUX
fis-1243	23	9	proposed	propose	VERB
fis-1243	23	10	to	to	PART
fis-1243	23	11	avoid	avoid	VERB
fis-1243	23	12	this	this	DET
fis-1243	23	13	drawback	drawback	NOUN
fis-1243	23	14	,	,	PUNCT
fis-1243	23	15	as	as	SCONJ
fis-1243	23	16	the	the	DET
fis-1243	23	17	use	use	NOUN
fis-1243	23	18	of	of	ADP
fis-1243	23	19	line	line	NOUN
fis-1243	23	20	search	search	NOUN
fis-1243	23	21	methods	method	NOUN
fis-1243	23	22	,	,	PUNCT
fis-1243	23	23	sub	sub	ADJ
fis-1243	23	24	-	-	ADJ
fis-1243	23	25	stepping	stepping	ADJ
fis-1243	23	26	,	,	PUNCT
fis-1243	23	27	adaptive	adaptive	ADJ
fis-1243	23	28	sub	sub	ADJ
fis-1243	23	29	-	-	ADJ
fis-1243	23	30	stepping	stepping	ADJ
fis-1243	23	31	,	,	PUNCT
fis-1243	23	32	or	or	CCONJ
fis-1243	23	33	other	other	ADJ
fis-1243	23	34	ad	ad	NOUN
fis-1243	23	35	-	-	PUNCT
fis-1243	23	36	hoc	hoc	X
fis-1243	23	37	integration	integration	NOUN
fis-1243	23	38	algorithms	algorithm	NOUN
fis-1243	23	39	,	,	PUNCT
fis-1243	23	40	see	see	VERB
fis-1243	23	41	for	for	ADP
fis-1243	23	42	example	example	NOUN
fis-1243	24	1	[	[	X
fis-1243	24	2	16	16	NUM
fis-1243	24	3	-	-	SYM
fis-1243	24	4	21	21	NUM
fis-1243	24	5	]	]	PUNCT
fis-1243	24	6	.	.	PUNCT
fis-1243	25	1	an	an	DET
fis-1243	25	2	alternative	alternative	ADJ
fis-1243	25	3	approach	approach	NOUN
fis-1243	25	4	is	be	AUX
fis-1243	25	5	to	to	PART
fis-1243	25	6	set	set	VERB
fis-1243	25	7	the	the	DET
fis-1243	25	8	elastic	elastic	ADJ
fis-1243	25	9	-	-	PUNCT
fis-1243	25	10	plastic	plastic	NOUN
fis-1243	25	11	problem	problem	NOUN
fis-1243	25	12	in	in	ADP
fis-1243	25	13	the	the	DET
fis-1243	25	14	framework	framework	NOUN
fis-1243	25	15	of	of	ADP
fis-1243	25	16	normal	normal	ADJ
fis-1243	25	17	-	-	PUNCT
fis-1243	25	18	dissipative	dissipative	ADJ
fis-1243	25	19	standard	standard	ADJ
fis-1243	25	20	media	medium	NOUN
fis-1243	25	21	in	in	ADP
fis-1243	25	22	the	the	DET
fis-1243	25	23	sense	sense	NOUN
fis-1243	25	24	of	of	ADP
fis-1243	25	25	halphen	halphen	ADV
fis-1243	25	26	and	and	CCONJ
fis-1243	25	27	nguyen	nguyen	NOUN
fis-1243	26	1	[	[	X
fis-1243	26	2	22	22	NUM
fis-1243	26	3	]	]	PUNCT
fis-1243	26	4	.	.	PUNCT
fis-1243	27	1	the	the	DET
fis-1243	27	2	evolution	evolution	NOUN
fis-1243	27	3	of	of	ADP
fis-1243	27	4	internal	internal	ADJ
fis-1243	27	5	variables	variable	NOUN
fis-1243	27	6	is	be	AUX
fis-1243	27	7	assumed	assume	VERB
fis-1243	27	8	to	to	PART
fis-1243	27	9	be	be	AUX
fis-1243	27	10	governed	govern	VERB
fis-1243	27	11	by	by	ADP
fis-1243	27	12	a	a	DET
fis-1243	27	13	convex	convex	ADJ
fis-1243	27	14	scalar	scalar	ADJ
fis-1243	27	15	dissipation	dissipation	NOUN
fis-1243	27	16	function	function	NOUN
fis-1243	27	17	which	which	PRON
fis-1243	27	18	is	be	AUX
fis-1243	27	19	the	the	DET
fis-1243	27	20	support	support	NOUN
fis-1243	27	21	function	function	NOUN
fis-1243	27	22	of	of	ADP
fis-1243	27	23	the	the	DET
fis-1243	27	24	elastic	elastic	ADJ
fis-1243	27	25	domain	domain	NOUN
fis-1243	27	26	(	(	PUNCT
fis-1243	27	27	e.g.	e.g.	ADV
fis-1243	27	28	,	,	PUNCT
fis-1243	27	29	[	[	X
fis-1243	27	30	23	23	NUM
fis-1243	27	31	]	]	PUNCT
fis-1243	27	32	)	)	PUNCT
fis-1243	27	33	.	.	PUNCT
fis-1243	28	1	consequently	consequently	ADV
fis-1243	28	2	,	,	PUNCT
fis-1243	28	3	the	the	DET
fis-1243	28	4	flow	flow	NOUN
fis-1243	28	5	law	law	NOUN
fis-1243	28	6	results	result	VERB
fis-1243	28	7	in	in	ADP
fis-1243	28	8	a	a	DET
fis-1243	28	9	statement	statement	NOUN
fis-1243	28	10	of	of	ADP
fis-1243	28	11	the	the	DET
fis-1243	28	12	classical	classical	ADJ
fis-1243	28	13	postulate	postulate	NOUN
fis-1243	28	14	of	of	ADP
fis-1243	28	15	maximum	maximum	ADJ
fis-1243	28	16	plastic	plastic	ADJ
fis-1243	28	17	dissipation	dissipation	NOUN
fis-1243	28	18	[	[	X
fis-1243	28	19	7	7	NUM
fis-1243	28	20	]	]	PUNCT
fis-1243	28	21	.	.	PUNCT
fis-1243	29	1	exploiting	exploit	VERB
fis-1243	29	2	this	this	DET
fis-1243	29	3	formulation	formulation	NOUN
fis-1243	29	4	,	,	PUNCT
fis-1243	29	5	several	several	ADJ
fis-1243	29	6	state	state	NOUN
fis-1243	29	7	update	update	NOUN
fis-1243	29	8	algorithms	algorithm	NOUN
fis-1243	29	9	have	have	AUX
fis-1243	29	10	been	be	AUX
fis-1243	29	11	proposed	propose	VERB
fis-1243	29	12	,	,	PUNCT
fis-1243	29	13	either	either	CCONJ
fis-1243	29	14	at	at	ADP
fis-1243	29	15	local	local	ADJ
fis-1243	29	16	level	level	NOUN
fis-1243	29	17	[	[	X
fis-1243	29	18	24	24	NUM
fis-1243	29	19	-	-	SYM
fis-1243	29	20	26	26	NUM
fis-1243	29	21	]	]	PUNCT
fis-1243	29	22	or	or	CCONJ
fis-1243	29	23	at	at	ADP
fis-1243	29	24	finite	finite	ADJ
fis-1243	29	25	element	element	NOUN
fis-1243	29	26	level	level	NOUN
fis-1243	29	27	[	[	X
fis-1243	29	28	27	27	NUM
fis-1243	29	29	,	,	PUNCT
fis-1243	29	30	28	28	NUM
fis-1243	29	31	]	]	PUNCT
fis-1243	29	32	.	.	PUNCT
fis-1243	30	1	conceptually	conceptually	ADV
fis-1243	30	2	,	,	PUNCT
fis-1243	30	3	the	the	DET
fis-1243	30	4	underlying	underlie	VERB
fis-1243	30	5	basic	basic	ADJ
fis-1243	30	6	idea	idea	NOUN
fis-1243	30	7	is	be	AUX
fis-1243	30	8	that	that	SCONJ
fis-1243	30	9	the	the	DET
fis-1243	30	10	evolution	evolution	NOUN
fis-1243	30	11	of	of	ADP
fis-1243	30	12	internal	internal	ADJ
fis-1243	30	13	variables	variable	NOUN
fis-1243	30	14	in	in	ADP
fis-1243	30	15	a	a	DET
fis-1243	30	16	finite	finite	ADJ
fis-1243	30	17	time	time	NOUN
fis-1243	30	18	step	step	NOUN
fis-1243	30	19	incrementally	incrementally	ADV
fis-1243	30	20	minimizes	minimize	VERB
fis-1243	30	21	a	a	DET
fis-1243	30	22	suitable	suitable	ADJ
fis-1243	30	23	convex	convex	NOUN
fis-1243	30	24	functional	functional	ADJ
fis-1243	30	25	,	,	PUNCT
fis-1243	30	26	given	give	VERB
fis-1243	30	27	by	by	ADP
fis-1243	30	28	the	the	DET
fis-1243	30	29	sum	sum	NOUN
fis-1243	30	30	of	of	ADP
fis-1243	30	31	the	the	DET
fis-1243	30	32	internal	internal	ADJ
fis-1243	30	33	energy	energy	NOUN
fis-1243	30	34	and	and	CCONJ
fis-1243	30	35	the	the	DET
fis-1243	30	36	dissipation	dissipation	NOUN
fis-1243	30	37	function	function	NOUN
fis-1243	30	38	.	.	PUNCT
fis-1243	31	1	this	this	DET
fis-1243	31	2	paper	paper	NOUN
fis-1243	31	3	focuses	focus	VERB
fis-1243	31	4	on	on	ADP
fis-1243	31	5	the	the	DET
fis-1243	31	6	incremental	incremental	ADJ
fis-1243	31	7	energy	energy	NOUN
fis-1243	31	8	formulation	formulation	NOUN
fis-1243	31	9	,	,	PUNCT
fis-1243	31	10	for	for	ADP
fis-1243	31	11	elastic	elastic	ADJ
fis-1243	31	12	-	-	PUNCT
fis-1243	31	13	plastic	plastic	NOUN
fis-1243	31	14	hardening	hardening	NOUN
fis-1243	31	15	materials	material	NOUN
fis-1243	31	16	characterized	characterize	VERB
fis-1243	31	17	by	by	ADP
fis-1243	31	18	isotropic	isotropic	ADJ
fis-1243	31	19	deviatoric	deviatoric	ADJ
fis-1243	31	20	yield	yield	NOUN
fis-1243	31	21	function	function	NOUN
fis-1243	31	22	and	and	CCONJ
fis-1243	31	23	associative	associative	ADJ
fis-1243	31	24	flow	flow	NOUN
fis-1243	31	25	law	law	NOUN
fis-1243	31	26	,	,	PUNCT
fis-1243	31	27	in	in	ADP
fis-1243	31	28	the	the	DET
fis-1243	31	29	framework	framework	NOUN
fis-1243	31	30	of	of	ADP
fis-1243	31	31	infinitesimal	infinitesimal	ADJ
fis-1243	31	32	deformation	deformation	NOUN
fis-1243	31	33	.	.	PUNCT
fis-1243	32	1	a	a	DET
fis-1243	32	2	two	two	NUM
fis-1243	32	3	-	-	PUNCT
fis-1243	32	4	step	step	NOUN
fis-1243	32	5	algorithm	algorithm	NOUN
fis-1243	32	6	is	be	AUX
fis-1243	32	7	proposed	propose	VERB
fis-1243	32	8	to	to	PART
fis-1243	32	9	perform	perform	VERB
fis-1243	32	10	the	the	DET
fis-1243	32	11	material	material	ADJ
fis-1243	32	12	state	state	NOUN
fis-1243	32	13	update	update	NOUN
fis-1243	32	14	.	.	PUNCT
fis-1243	33	1	in	in	ADP
fis-1243	33	2	the	the	DET
fis-1243	33	3	first	first	ADJ
fis-1243	33	4	step	step	NOUN
fis-1243	33	5	,	,	PUNCT
fis-1243	33	6	an	an	DET
fis-1243	33	7	elastic	elastic	ADJ
fis-1243	33	8	prediction	prediction	NOUN
fis-1243	33	9	of	of	ADP
fis-1243	33	10	the	the	DET
fis-1243	33	11	updated	update	VERB
fis-1243	33	12	material	material	NOUN
fis-1243	33	13	state	state	NOUN
fis-1243	33	14	is	be	AUX
fis-1243	33	15	carried	carry	VERB
fis-1243	33	16	out	out	ADP
fis-1243	33	17	.	.	PUNCT
fis-1243	34	1	in	in	ADP
fis-1243	34	2	case	case	NOUN
fis-1243	34	3	it	it	PRON
fis-1243	34	4	is	be	AUX
fis-1243	34	5	not	not	PART
fis-1243	34	6	plastically	plastically	ADV
fis-1243	34	7	admissible	admissible	ADJ
fis-1243	34	8	,	,	PUNCT
fis-1243	34	9	the	the	DET
fis-1243	34	10	newton	newton	PROPN
fis-1243	34	11	-	-	PUNCT
fis-1243	34	12	raphson	raphson	NOUN
fis-1243	34	13	method	method	NOUN
fis-1243	34	14	is	be	AUX
fis-1243	34	15	adopted	adopt	VERB
fis-1243	34	16	to	to	PART
fis-1243	34	17	solve	solve	VERB
fis-1243	34	18	the	the	DET
fis-1243	34	19	constitutive	constitutive	ADJ
fis-1243	34	20	variational	variational	ADJ
fis-1243	34	21	problem	problem	NOUN
fis-1243	34	22	.	.	PUNCT
fis-1243	35	1	an	an	DET
fis-1243	35	2	efficient	efficient	ADJ
fis-1243	35	3	strategy	strategy	NOUN
fis-1243	35	4	to	to	PART
fis-1243	35	5	compute	compute	VERB
fis-1243	35	6	the	the	DET
fis-1243	35	7	dissipation	dissipation	NOUN
fis-1243	35	8	function	function	NOUN
fis-1243	35	9	is	be	AUX
fis-1243	35	10	proposed	propose	VERB
fis-1243	35	11	.	.	PUNCT
fis-1243	36	1	in	in	ADP
fis-1243	36	2	particular	particular	ADJ
fis-1243	36	3	,	,	PUNCT
fis-1243	36	4	adopting	adopt	VERB
fis-1243	36	5	the	the	DET
fis-1243	36	6	haigh	haigh	NOUN
fis-1243	36	7	-	-	PUNCT
fis-1243	36	8	westergaard	westergaard	NOUN
fis-1243	36	9	representation	representation	NOUN
fis-1243	36	10	(	(	PUNCT
fis-1243	36	11	e.g.	e.g.	ADV
fis-1243	36	12	see	see	VERB
fis-1243	36	13	[	[	X
fis-1243	36	14	29	29	NUM
fis-1243	36	15	-	-	SYM
fis-1243	36	16	31	31	NUM
fis-1243	36	17	]	]	PUNCT
fis-1243	36	18	)	)	PUNCT
fis-1243	36	19	,	,	PUNCT
fis-1243	36	20	the	the	DET
fis-1243	36	21	problem	problem	NOUN
fis-1243	36	22	is	be	AUX
fis-1243	36	23	reduced	reduce	VERB
fis-1243	36	24	to	to	ADP
fis-1243	36	25	a	a	DET
fis-1243	36	26	non	non	ADJ
fis-1243	36	27	-	-	ADJ
fis-1243	36	28	linear	linear	ADJ
fis-1243	36	29	scalar	scalar	ADJ
fis-1243	36	30	equation	equation	NOUN
fis-1243	36	31	.	.	PUNCT
fis-1243	37	1	moreover	moreover	ADV
fis-1243	37	2	closed	closed	ADJ
fis-1243	37	3	-	-	PUNCT
fis-1243	37	4	form	form	NOUN
fis-1243	37	5	expressions	expression	NOUN
fis-1243	37	6	of	of	ADP
fis-1243	37	7	the	the	DET
fis-1243	37	8	gradient	gradient	NOUN
fis-1243	37	9	and	and	CCONJ
fis-1243	37	10	of	of	ADP
fis-1243	37	11	the	the	DET
fis-1243	37	12	hessian	hessian	NOUN
fis-1243	37	13	of	of	ADP
fis-1243	37	14	haigh	haigh	NOUN
fis-1243	37	15	-	-	PUNCT
fis-1243	37	16	westergaard	westergaard	NOUN
fis-1243	37	17	coordinates	coordinate	NOUN
fis-1243	37	18	,	,	PUNCT
fis-1243	37	19	as	as	ADV
fis-1243	37	20	well	well	ADV
fis-1243	37	21	as	as	ADP
fis-1243	37	22	of	of	ADP
fis-1243	37	23	the	the	DET
fis-1243	37	24	dissipation	dissipation	NOUN
fis-1243	37	25	function	function	NOUN
fis-1243	37	26	,	,	PUNCT
fis-1243	37	27	are	be	AUX
fis-1243	37	28	presented	present	VERB
fis-1243	37	29	.	.	PUNCT
fis-1243	38	1	with	with	ADP
fis-1243	38	2	the	the	DET
fis-1243	38	3	aim	aim	NOUN
fis-1243	38	4	of	of	ADP
fis-1243	38	5	proving	prove	VERB
fis-1243	38	6	the	the	DET
fis-1243	38	7	robustness	robustness	NOUN
fis-1243	38	8	and	and	CCONJ
fis-1243	38	9	stability	stability	NOUN
fis-1243	38	10	of	of	ADP
fis-1243	38	11	the	the	DET
fis-1243	38	12	proposed	propose	VERB
fis-1243	38	13	algorithm	algorithm	NOUN
fis-1243	38	14	,	,	PUNCT
fis-1243	38	15	numerical	numerical	ADJ
fis-1243	38	16	tests	test	NOUN
fis-1243	38	17	on	on	ADP
fis-1243	38	18	a	a	DET
fis-1243	38	19	single	single	ADJ
fis-1243	38	20	integration	integration	NOUN
fis-1243	38	21	point	point	NOUN
fis-1243	38	22	and	and	CCONJ
fis-1243	38	23	fe	fe	NOUN
fis-1243	38	24	simulations	simulation	NOUN
fis-1243	38	25	are	be	AUX
fis-1243	38	26	provided	provide	VERB
fis-1243	38	27	.	.	PUNCT
fis-1243	39	1	this	this	DET
fis-1243	39	2	numerical	numerical	ADJ
fis-1243	39	3	approach	approach	NOUN
fis-1243	39	4	appears	appear	VERB
fis-1243	39	5	to	to	PART
fis-1243	39	6	be	be	AUX
fis-1243	39	7	complementary	complementary	ADJ
fis-1243	39	8	to	to	ADP
fis-1243	39	9	the	the	DET
fis-1243	39	10	classical	classical	ADJ
fis-1243	39	11	return	return	NOUN
fis-1243	39	12	map	map	NOUN
fis-1243	39	13	strategy	strategy	NOUN
fis-1243	39	14	,	,	PUNCT
fis-1243	39	15	because	because	SCONJ
fis-1243	39	16	no	no	DET
fis-1243	39	17	convergence	convergence	NOUN
fis-1243	39	18	difficulties	difficulty	NOUN
fis-1243	39	19	arise	arise	VERB
fis-1243	39	20	if	if	SCONJ
fis-1243	39	21	the	the	DET
fis-1243	39	22	stress	stress	NOUN
fis-1243	39	23	is	be	AUX
fis-1243	39	24	close	close	ADJ
fis-1243	39	25	to	to	ADP
fis-1243	39	26	points	point	NOUN
fis-1243	39	27	of	of	ADP
fis-1243	39	28	the	the	DET
fis-1243	39	29	yield	yield	NOUN
fis-1243	39	30	surface	surface	NOUN
fis-1243	39	31	with	with	ADP
fis-1243	39	32	high	high	ADJ
fis-1243	39	33	curvature	curvature	NOUN
fis-1243	39	34	.	.	PUNCT
fis-1243	40	1	the	the	DET
fis-1243	40	2	paper	paper	NOUN
fis-1243	40	3	is	be	AUX
fis-1243	40	4	organized	organize	VERB
fis-1243	40	5	as	as	SCONJ
fis-1243	40	6	follows	follow	VERB
fis-1243	40	7	:	:	PUNCT
fis-1243	40	8	a	a	DET
fis-1243	40	9	first	first	ADJ
fis-1243	40	10	part	part	NOUN
fis-1243	40	11	is	be	AUX
fis-1243	40	12	concerned	concern	VERB
fis-1243	40	13	with	with	ADP
fis-1243	40	14	a	a	DET
fis-1243	40	15	brief	brief	ADJ
fis-1243	40	16	discussion	discussion	NOUN
fis-1243	40	17	on	on	ADP
fis-1243	40	18	the	the	DET
fis-1243	40	19	incremental	incremental	ADJ
fis-1243	40	20	energy	energy	NOUN
fis-1243	40	21	minimization	minimization	NOUN
fis-1243	40	22	in	in	ADP
fis-1243	40	23	hardening	harden	VERB
fis-1243	40	24	elastoplasticity	elastoplasticity	NOUN
fis-1243	40	25	.	.	PUNCT
fis-1243	41	1	then	then	ADV
fis-1243	41	2	the	the	DET
fis-1243	41	3	computation	computation	NOUN
fis-1243	41	4	algorithm	algorithm	NOUN
fis-1243	41	5	of	of	ADP
fis-1243	41	6	dissipation	dissipation	NOUN
fis-1243	41	7	function	function	NOUN
fis-1243	41	8	and	and	CCONJ
fis-1243	41	9	the	the	DET
fis-1243	41	10	proposed	propose	VERB
fis-1243	41	11	state	state	NOUN
fis-1243	41	12	update	update	NOUN
fis-1243	41	13	algorithm	algorithm	NOUN
fis-1243	41	14	are	be	AUX
fis-1243	41	15	extensively	extensively	ADV
fis-1243	41	16	treated	treat	VERB
fis-1243	41	17	.	.	PUNCT
fis-1243	42	1	finally	finally	ADV
fis-1243	42	2	a	a	DET
fis-1243	42	3	selected	select	VERB
fis-1243	42	4	number	number	NOUN
fis-1243	42	5	of	of	ADP
fis-1243	42	6	numerical	numerical	ADJ
fis-1243	42	7	tests	test	NOUN
fis-1243	42	8	are	be	AUX
fis-1243	42	9	reported	report	VERB
fis-1243	42	10	.	.	PUNCT
fis-1243	43	1	incremental	incremental	ADJ
fis-1243	43	2	energy	energy	NOUN
fis-1243	43	3	minimization	minimization	NOUN
fis-1243	43	4	formulation	formulation	NOUN
fis-1243	43	5	et	et	NOUN
fis-1243	43	6	nε	nε	NOUN
fis-1243	43	7			PUNCT
fis-1243	43	8	be	be	AUX
fis-1243	43	9	the	the	DET
fis-1243	43	10	total	total	ADJ
fis-1243	43	11	strain	strain	NOUN
fis-1243	43	12	at	at	ADP
fis-1243	43	13	a	a	DET
fis-1243	43	14	fixed	fix	VERB
fis-1243	43	15	point	point	NOUN
fis-1243	43	16	x	x	ADP
fis-1243	43	17			NOUN
fis-1243	43	18	of	of	ADP
fis-1243	43	19	a	a	DET
fis-1243	43	20	solid	solid	ADJ
fis-1243	43	21	dimn	dimn	PROPN
fis-1243	43	22			ADV
fis-1243	43	23	,	,	PUNCT
fis-1243	43	24	in	in	ADP
fis-1243	43	25	practice	practice	NOUN
fis-1243	43	26	a	a	DET
fis-1243	43	27	gauss	gauss	ADJ
fis-1243	43	28	point	point	NOUN
fis-1243	43	29	in	in	ADP
fis-1243	43	30	a	a	DET
fis-1243	43	31	typical	typical	ADJ
fis-1243	43	32	finite	finite	ADJ
fis-1243	43	33	element	element	NOUN
fis-1243	43	34	solution	solution	NOUN
fis-1243	43	35	.	.	PUNCT
fis-1243	44	1	in	in	ADP
fis-1243	44	2	the	the	DET
fis-1243	44	3	case	case	NOUN
fis-1243	44	4	of	of	ADP
fis-1243	44	5	infinitesimal	infinitesimal	ADJ
fis-1243	44	6	deformation	deformation	NOUN
fis-1243	44	7	,	,	PUNCT
fis-1243	44	8	the	the	DET
fis-1243	44	9	total	total	ADJ
fis-1243	44	10	strain	strain	NOUN
fis-1243	44	11	ε	ε	PROPN
fis-1243	44	12	,	,	PUNCT
fis-1243	44	13	i.e.	i.e.	X
fis-1243	44	14	the	the	DET
fis-1243	44	15	symmetric	symmetric	ADJ
fis-1243	44	16	part	part	NOUN
fis-1243	44	17	of	of	ADP
fis-1243	44	18	the	the	DET
fis-1243	44	19	displacement	displacement	ADJ
fis-1243	44	20	gradient	gradient	NOUN
fis-1243	44	21	,	,	PUNCT
fis-1243	44	22	is	be	AUX
fis-1243	44	23	additively	additively	ADV
fis-1243	44	24	decomposed	decompose	VERB
fis-1243	44	25	as	as	ADP
fis-1243	44	26	:	:	PUNCT
fis-1243	44	27	e	e	X
fis-1243	44	28	p	p	ADV
fis-1243	44	29	ε	ε	PROPN
fis-1243	44	30	ε	ε	PROPN
fis-1243	44	31	ε	ε	PROPN
fis-1243	44	32	(	(	PUNCT
fis-1243	44	33	1	1	NUM
fis-1243	44	34	)	)	PUNCT
fis-1243	44	35	where	where	SCONJ
fis-1243	44	36	eε	eε	PROPN
fis-1243	44	37	and	and	CCONJ
fis-1243	44	38	pε	pε	PROPN
fis-1243	44	39	are	be	AUX
fis-1243	44	40	the	the	DET
fis-1243	44	41	elastic	elastic	ADJ
fis-1243	44	42	and	and	CCONJ
fis-1243	44	43	plastic	plastic	NOUN
fis-1243	44	44	parts	part	NOUN
fis-1243	44	45	,	,	PUNCT
fis-1243	44	46	respectively	respectively	ADV
fis-1243	44	47	.	.	PUNCT
fis-1243	45	1	the	the	DET
fis-1243	45	2	kinematic	kinematic	ADJ
fis-1243	45	3	description	description	NOUN
fis-1243	45	4	of	of	ADP
fis-1243	45	5	the	the	DET
fis-1243	45	6	material	material	NOUN
fis-1243	45	7	state	state	NOUN
fis-1243	45	8	is	be	AUX
fis-1243	45	9	completed	complete	VERB
fis-1243	45	10	by	by	ADP
fis-1243	45	11	a	a	DET
fis-1243	45	12	set	set	NOUN
fis-1243	45	13	of	of	ADP
fis-1243	45	14	strain	strain	NOUN
fis-1243	45	15	-	-	PUNCT
fis-1243	45	16	like	like	ADJ
fis-1243	45	17	internal	internal	ADJ
fis-1243	45	18	variables	variable	NOUN
fis-1243	45	19	nα	nα	ADJ
fis-1243	45	20			NUM
fis-1243	45	21	.	.	PUNCT
fis-1243	46	1	the	the	DET
fis-1243	46	2	corresponding	corresponding	ADJ
fis-1243	46	3	conjugated	conjugate	VERB
fis-1243	46	4	stress	stress	NOUN
fis-1243	46	5	-	-	PUNCT
fis-1243	46	6	like	like	ADJ
fis-1243	46	7	variables	variable	NOUN
fis-1243	46	8	are	be	AUX
fis-1243	46	9	the	the	DET
fis-1243	46	10	stress	stress	NOUN
fis-1243	46	11	nσ	nσ	PROPN
fis-1243	46	12			PUNCT
fis-1243	46	13	and	and	CCONJ
fis-1243	46	14	the	the	DET
fis-1243	46	15	stress	stress	NOUN
fis-1243	46	16	-	-	PUNCT
fis-1243	46	17	like	like	ADJ
fis-1243	46	18	internal	internal	ADJ
fis-1243	46	19	variables	variable	NOUN
fis-1243	46	20	nq	nq	NOUN
fis-1243	46	21			PUNCT
fis-1243	46	22	,	,	PUNCT
fis-1243	46	23	respectively	respectively	ADV
fis-1243	46	24	.	.	PUNCT
fis-1243	47	1	by	by	ADP
fis-1243	47	2	standard	standard	ADJ
fis-1243	47	3	thermodynamic	thermodynamic	ADJ
fis-1243	47	4	arguments	argument	NOUN
fis-1243	47	5	,	,	PUNCT
fis-1243	47	6	the	the	DET
fis-1243	47	7	stress	stress	NOUN
fis-1243	47	8	-	-	PUNCT
fis-1243	47	9	like	like	ADJ
fis-1243	47	10	variables	variable	NOUN
fis-1243	47	11	are	be	AUX
fis-1243	47	12	derived	derive	VERB
fis-1243	47	13	from	from	ADP
fis-1243	47	14	an	an	DET
fis-1243	47	15	helmholtz	helmholtz	NOUN
fis-1243	47	16	free	free	ADJ
fis-1243	47	17	energy	energy	NOUN
fis-1243	47	18	function	function	NOUN
fis-1243	47	19			NOUN
fis-1243	47	20	e	e	PROPN
fis-1243	47	21	,	,	PUNCT
fis-1243	47	22	.	.	PROPN
fis-1243	47	23	ε	ε	PROPN
fis-1243	47	24	α	α	PROPN
fis-1243	47	25	assuming	assume	VERB
fis-1243	47	26	the	the	DET
fis-1243	47	27	latter	latter	ADJ
fis-1243	47	28	to	to	PART
fis-1243	47	29	be	be	AUX
fis-1243	47	30	strictly	strictly	ADV
fis-1243	47	31	convex	convex	ADJ
fis-1243	47	32	,	,	PUNCT
fis-1243	47	33	the	the	DET
fis-1243	47	34	constitutive	constitutive	ADJ
fis-1243	47	35	equations	equation	NOUN
fis-1243	47	36	follow	follow	VERB
fis-1243	47	37			NOUN
fis-1243	47	38			SYM
fis-1243	48	1			NOUN
fis-1243	49	1	e	e	PUNCT
fis-1243	50	1	e	e	X
fis-1243	51	1	e	e	PROPN
fis-1243	51	2	,	,	PUNCT
fis-1243	51	3	,	,	PUNCT
fis-1243	51	4	,	,	PUNCT
fis-1243	51	5			NOUN
fis-1243	51	6			PROPN
fis-1243	51	7	αε	αε	PROPN
fis-1243	51	8	σ	σ	PROPN
fis-1243	51	9	ε	ε	PROPN
fis-1243	51	10	α	α	PRON
fis-1243	51	11	q	q	PROPN
fis-1243	51	12	ε	ε	PROPN
fis-1243	51	13	α	α	PROPN
fis-1243	51	14	(	(	PUNCT
fis-1243	51	15	2	2	NUM
fis-1243	51	16	)	)	PUNCT
fis-1243	51	17	where	where	SCONJ
fis-1243	51	18	(	(	PUNCT
fis-1243	51	19	•)	•)	PROPN
fis-1243	51	20	is	be	AUX
fis-1243	51	21	the	the	DET
fis-1243	51	22	sub	sub	ADJ
fis-1243	51	23	-	-	ADJ
fis-1243	51	24	differential	differential	ADJ
fis-1243	51	25	operator	operator	NOUN
fis-1243	51	26	of	of	ADP
fis-1243	51	27	non	non	ADJ
fis-1243	51	28	-	-	ADJ
fis-1243	51	29	smooth	smooth	ADJ
fis-1243	51	30	convex	convex	NOUN
fis-1243	51	31	functions	function	NOUN
fis-1243	51	32	(	(	PUNCT
fis-1243	51	33	see	see	VERB
fis-1243	51	34	[	[	X
fis-1243	51	35	22	22	NUM
fis-1243	51	36	,	,	PUNCT
fis-1243	51	37	32	32	NUM
fis-1243	51	38	]	]	PUNCT
fis-1243	51	39	and	and	CCONJ
fis-1243	51	40	references	reference	NOUN
fis-1243	51	41	therein	therein	ADV
fis-1243	51	42	)	)	PUNCT
fis-1243	51	43	.	.	PUNCT
fis-1243	52	1	in	in	ADP
fis-1243	52	2	the	the	DET
fis-1243	52	3	context	context	NOUN
fis-1243	52	4	of	of	ADP
fis-1243	52	5	elastic	elastic	ADJ
fis-1243	52	6	-	-	PUNCT
fis-1243	52	7	plastic	plastic	NOUN
fis-1243	52	8	materials	material	NOUN
fis-1243	52	9	,	,	PUNCT
fis-1243	52	10	the	the	DET
fis-1243	52	11	generalized	generalized	ADJ
fis-1243	52	12	stresses	stress	NOUN
fis-1243	52	13	σ	σ	NOUN
fis-1243	52	14	,	,	PUNCT
fis-1243	52	15	q	q	PROPN
fis-1243	52	16	are	be	AUX
fis-1243	52	17	constrained	constrain	VERB
fis-1243	52	18	to	to	PART
fis-1243	52	19	belong	belong	VERB
fis-1243	52	20	to	to	ADP
fis-1243	52	21	an	an	DET
fis-1243	52	22	admissible	admissible	ADJ
fis-1243	52	23	set	set	NOUN
fis-1243	52	24	,	,	PUNCT
fis-1243	52	25	denoted	denote	VERB
fis-1243	52	26	as	as	ADP
fis-1243	52	27	elastic	elastic	ADJ
fis-1243	52	28	domain	domain	NOUN
fis-1243	52	29	and	and	CCONJ
fis-1243	52	30	introduced	introduce	VERB
fis-1243	52	31	by	by	ADP
fis-1243	52	32	means	mean	NOUN
fis-1243	52	33	of	of	ADP
fis-1243	52	34	the	the	DET
fis-1243	52	35	yield	yield	NOUN
fis-1243	52	36	function	function	NOUN
fis-1243	52	37			PROPN
fis-1243	52	38	,f	,f	PUNCT
fis-1243	53	1	σ	σ	PROPN
fis-1243	53	2	q	q	X
fis-1243	53	3	:	:	PUNCT
fis-1243	53	4			NOUN
fis-1243	53	5			SYM
fis-1243	53	6			NOUN
fis-1243	53	7			NOUN
fis-1243	53	8			PROPN
fis-1243	53	9	,	,	PUNCT
fis-1243	53	10	:	:	PUNCT
fis-1243	53	11	,	,	PUNCT
fis-1243	53	12	0n	0n	NOUN
fis-1243	53	13	n	n	CCONJ
fis-1243	53	14	fk	fk	INTJ
fis-1243	53	15			PROPN
fis-1243	53	16			NUM
fis-1243	53	17			PROPN
fis-1243	53	18			PROPN
fis-1243	53	19	σ	σ	PROPN
fis-1243	53	20	q	q	PROPN
fis-1243	53	21	σ	σ	PROPN
fis-1243	53	22	q	q	PROPN
fis-1243	53	23			PUNCT
fis-1243	53	24	(	(	PUNCT
fis-1243	53	25	3	3	X
fis-1243	53	26	)	)	PUNCT
fis-1243	53	27	hereafter	hereafter	ADV
fis-1243	53	28	we	we	PRON
fis-1243	53	29	suppose	suppose	VERB
fis-1243	53	30	the	the	DET
fis-1243	53	31	yield	yield	NOUN
fis-1243	53	32	function	function	NOUN
fis-1243	53	33	to	to	PART
fis-1243	53	34	be	be	AUX
fis-1243	53	35	convex	convex	ADJ
fis-1243	53	36	;	;	PUNCT
fis-1243	53	37	consequently	consequently	ADV
fis-1243	53	38	the	the	DET
fis-1243	53	39	elastic	elastic	ADJ
fis-1243	53	40	domain	domain	NOUN
fis-1243	53	41	is	be	AUX
fis-1243	53	42	convex	convex	ADJ
fis-1243	53	43	itself	itself	PRON
fis-1243	53	44	.	.	PUNCT
fis-1243	54	1	l	l	PROPN
fis-1243	54	2	n.a	n.a	PROPN
fis-1243	54	3	.	.	PROPN
fis-1243	54	4	nodargi	nodargi	PROPN
fis-1243	54	5	et	et	PROPN
fis-1243	54	6	alii	alii	PROPN
fis-1243	54	7	,	,	PUNCT
fis-1243	54	8	frattura	frattura	PROPN
fis-1243	54	9	ed	ed	PROPN
fis-1243	54	10	integrità	integrità	PROPN
fis-1243	54	11	strutturale	strutturale	PROPN
fis-1243	54	12	,	,	PUNCT
fis-1243	54	13	29	29	NUM
fis-1243	54	14	(	(	PUNCT
fis-1243	54	15	2014	2014	NUM
fis-1243	54	16	)	)	PUNCT
fis-1243	54	17	111	111	NUM
fis-1243	54	18	-	-	SYM
fis-1243	54	19	127	127	NUM
fis-1243	54	20	;	;	PUNCT
fis-1243	54	21	doi	doi	NOUN
fis-1243	54	22	:	:	PUNCT
fis-1243	54	23	10.3221	10.3221	NUM
fis-1243	54	24	/	/	SYM
fis-1243	54	25	igf	igf	PROPN
fis-1243	54	26	-	-	PUNCT
fis-1243	54	27	esis.29.11	esis.29.11	PROPN
fis-1243	54	28	113	113	NUM
fis-1243	54	29	the	the	DET
fis-1243	54	30	model	model	NOUN
fis-1243	54	31	is	be	AUX
fis-1243	54	32	supplemented	supplement	VERB
fis-1243	54	33	by	by	ADP
fis-1243	54	34	the	the	DET
fis-1243	54	35	evolution	evolution	NOUN
fis-1243	54	36	law	law	NOUN
fis-1243	54	37	of	of	ADP
fis-1243	54	38	plastic	plastic	ADJ
fis-1243	54	39	strain	strain	NOUN
fis-1243	54	40	pε	pε	NOUN
fis-1243	54	41	and	and	CCONJ
fis-1243	54	42	strain	strain	NOUN
fis-1243	54	43	-	-	PUNCT
fis-1243	54	44	like	like	ADJ
fis-1243	54	45	internal	internal	ADJ
fis-1243	54	46	variables	variable	NOUN
fis-1243	54	47	α	α	X
fis-1243	54	48	.	.	PUNCT
fis-1243	55	1	with	with	ADP
fis-1243	55	2	the	the	DET
fis-1243	55	3	assumption	assumption	NOUN
fis-1243	55	4	of	of	ADP
fis-1243	55	5	normal	normal	ADJ
fis-1243	55	6	-	-	PUNCT
fis-1243	55	7	dissipative	dissipative	ADJ
fis-1243	55	8	or	or	CCONJ
fis-1243	55	9	standard	standard	ADJ
fis-1243	55	10	material	material	ADJ
fis-1243	55	11	behavior	behavior	NOUN
fis-1243	55	12	,	,	PUNCT
fis-1243	55	13	i.e.	i.e.	X
fis-1243	55	14	of	of	ADP
fis-1243	55	15	associative	associative	ADJ
fis-1243	55	16	plastic	plastic	NOUN
fis-1243	55	17	flow	flow	NOUN
fis-1243	55	18	,	,	PUNCT
fis-1243	55	19	it	it	PRON
fis-1243	55	20	is	be	AUX
fis-1243	55	21	customary	customary	ADJ
fis-1243	55	22	to	to	PART
fis-1243	55	23	introduce	introduce	VERB
fis-1243	55	24	a	a	DET
fis-1243	55	25	scalar	scalar	ADJ
fis-1243	55	26	dissipation	dissipation	NOUN
fis-1243	55	27	function	function	NOUN
fis-1243	55	28	defined	define	VERB
fis-1243	55	29	as	as	ADP
fis-1243	55	30	the	the	DET
fis-1243	55	31	support	support	NOUN
fis-1243	55	32	function	function	NOUN
fis-1243	55	33	of	of	ADP
fis-1243	55	34	the	the	DET
fis-1243	55	35	elastic	elastic	ADJ
fis-1243	55	36	domain	domain	NOUN
fis-1243	56	1			NOUN
fis-1243	56	2			SYM
fis-1243	56	3			NOUN
fis-1243	56	4			PUNCT
fis-1243	56	5			PROPN
fis-1243	56	6	p	p	PROPN
fis-1243	56	7	p	p	NOUN
fis-1243	56	8	,	,	PUNCT
fis-1243	56	9	,	,	PUNCT
fis-1243	56	10	sup	sup	PROPN
fis-1243	56	11	k	k	PROPN
fis-1243	56	12	d	d	PROPN
fis-1243	56	13			NOUN
fis-1243	56	14			PROPN
fis-1243	56	15			PROPN
fis-1243	56	16			PUNCT
fis-1243	56	17			PROPN
fis-1243	56	18	σ	σ	PROPN
fis-1243	56	19	q	q	PROPN
fis-1243	56	20	ε	ε	PROPN
fis-1243	56	21	α	α	PROPN
fis-1243	56	22	σ	σ	NOUN
fis-1243	56	23	ε	ε	PROPN
fis-1243	56	24	q	q	NOUN
fis-1243	56	25	α	α	NOUN
fis-1243	56	26			NOUN
fis-1243	56	27			NOUN
fis-1243	56	28			NOUN
fis-1243	56	29	(	(	PUNCT
fis-1243	56	30	4	4	NUM
fis-1243	56	31	)	)	PUNCT
fis-1243	56	32	and	and	CCONJ
fis-1243	56	33	to	to	PART
fis-1243	56	34	express	express	VERB
fis-1243	56	35	the	the	DET
fis-1243	56	36	evolution	evolution	NOUN
fis-1243	56	37	law	law	NOUN
fis-1243	56	38	in	in	ADP
fis-1243	56	39	the	the	DET
fis-1243	56	40	form	form	NOUN
fis-1243	56	41	:	:	PUNCT
fis-1243	56	42			NOUN
fis-1243	56	43			PROPN
fis-1243	56	44			NOUN
fis-1243	56	45	p	p	VERB
fis-1243	56	46	p	p	X
fis-1243	56	47	p	p	X
fis-1243	56	48	,	,	PUNCT
fis-1243	56	49	,	,	PUNCT
fis-1243	56	50	,	,	PUNCT
fis-1243	56	51	d	d	PROPN
fis-1243	56	52	d	d	PROPN
fis-1243	56	53	αε	αε	PROPN
fis-1243	56	54	σ	σ	PROPN
fis-1243	56	55	ε	ε	PROPN
fis-1243	56	56	α	α	PRON
fis-1243	56	57	q	q	PROPN
fis-1243	56	58	ε	ε	PROPN
fis-1243	57	1	α	α	ADJ
fis-1243	57	2			ADJ
fis-1243	57	3			NOUN
fis-1243	57	4			NOUN
fis-1243	57	5			NOUN
fis-1243	57	6	(	(	PUNCT
fis-1243	57	7	5	5	X
fis-1243	57	8	)	)	PUNCT
fis-1243	57	9	it	it	PRON
fis-1243	57	10	is	be	AUX
fis-1243	57	11	worth	worth	ADJ
fis-1243	57	12	noting	note	VERB
fis-1243	57	13	that	that	SCONJ
fis-1243	57	14	the	the	DET
fis-1243	57	15	dissipation	dissipation	NOUN
fis-1243	57	16	function	function	NOUN
fis-1243	57	17	is	be	AUX
fis-1243	57	18	convex	convex	NOUN
fis-1243	57	19	,	,	PUNCT
fis-1243	57	20	non	non	ADJ
fis-1243	57	21	-	-	ADJ
fis-1243	57	22	negative	negative	ADJ
fis-1243	57	23	,	,	PUNCT
fis-1243	57	24	zero	zero	NUM
fis-1243	57	25	only	only	ADV
fis-1243	57	26	at	at	ADP
fis-1243	57	27	the	the	DET
fis-1243	57	28	origin	origin	NOUN
fis-1243	57	29	and	and	CCONJ
fis-1243	57	30	positively	positively	ADV
fis-1243	57	31	homogeneous	homogeneous	ADJ
fis-1243	57	32	of	of	ADP
fis-1243	57	33	degree	degree	NOUN
fis-1243	57	34	one	one	NUM
fis-1243	57	35	;	;	PUNCT
fis-1243	57	36	moreover	moreover	ADV
fis-1243	57	37	it	it	PRON
fis-1243	57	38	is	be	AUX
fis-1243	57	39	nondifferentiable	nondifferentiable	ADJ
fis-1243	57	40	at	at	ADP
fis-1243	57	41	the	the	DET
fis-1243	57	42	origin	origin	NOUN
fis-1243	57	43	,	,	PUNCT
fis-1243	57	44	where	where	SCONJ
fis-1243	57	45	its	its	PRON
fis-1243	57	46	sub	sub	ADJ
fis-1243	57	47	-	-	ADJ
fis-1243	57	48	differential	differential	ADJ
fis-1243	57	49	set	set	NOUN
fis-1243	57	50	coincides	coincide	VERB
fis-1243	57	51	with	with	ADP
fis-1243	57	52	the	the	DET
fis-1243	57	53	elastic	elastic	ADJ
fis-1243	57	54	domain	domain	NOUN
fis-1243	57	55	[	[	X
fis-1243	57	56	7	7	NUM
fis-1243	57	57	]	]	PUNCT
fis-1243	57	58	.	.	PUNCT
fis-1243	58	1	substituting	substitute	VERB
fis-1243	58	2	the	the	DET
fis-1243	58	3	decomposition	decomposition	NOUN
fis-1243	58	4	(	(	PUNCT
fis-1243	58	5	1	1	X
fis-1243	58	6	)	)	PUNCT
fis-1243	58	7	in	in	ADP
fis-1243	58	8	the	the	DET
fis-1243	58	9	constitutive	constitutive	ADJ
fis-1243	58	10	law	law	NOUN
fis-1243	58	11	(	(	PUNCT
fis-1243	58	12	2	2	NUM
fis-1243	58	13	)	)	PUNCT
fis-1243	58	14	and	and	CCONJ
fis-1243	58	15	adding	add	VERB
fis-1243	58	16	the	the	DET
fis-1243	58	17	result	result	NOUN
fis-1243	58	18	to	to	ADP
fis-1243	58	19	(	(	PUNCT
fis-1243	58	20	5	5	NUM
fis-1243	58	21	)	)	PUNCT
fis-1243	58	22	,	,	PUNCT
fis-1243	58	23	the	the	DET
fis-1243	58	24	constitutive	constitutive	ADJ
fis-1243	58	25	differential	differential	ADJ
fis-1243	58	26	equations	equation	NOUN
fis-1243	58	27	are	be	AUX
fis-1243	58	28	obtained	obtain	VERB
fis-1243	58	29	:	:	PUNCT
fis-1243	58	30			NOUN
fis-1243	58	31			PROPN
fis-1243	58	32			NOUN
fis-1243	58	33			SYM
fis-1243	58	34			NOUN
fis-1243	58	35			PUNCT
fis-1243	58	36			NOUN
fis-1243	59	1			PUNCT
fis-1243	59	2	p	p	NOUN
fis-1243	60	1	p	p	X
fis-1243	60	2	p	p	X
fis-1243	60	3	p	p	PROPN
fis-1243	60	4	p	p	PROPN
fis-1243	60	5	p	p	X
fis-1243	60	6	,	,	PUNCT
fis-1243	60	7	,	,	PUNCT
fis-1243	60	8	,	,	PUNCT
fis-1243	60	9	,	,	PUNCT
fis-1243	60	10	d	d	PROPN
fis-1243	60	11	d	d	X
fis-1243	60	12			PROPN
fis-1243	60	13			DET
fis-1243	60	14			ADJ
fis-1243	60	15			PROPN
fis-1243	60	16			VERB
fis-1243	60	17			ADJ
fis-1243	60	18			ADJ
fis-1243	60	19			PROPN
fis-1243	60	20			VERB
fis-1243	60	21			ADJ
fis-1243	60	22	ε	ε	PROPN
fis-1243	60	23	ε	ε	PROPN
fis-1243	60	24	α	α	PROPN
fis-1243	60	25	α	α	NOUN
fis-1243	60	26	ε	ε	PROPN
fis-1243	60	27	ε	ε	PROPN
fis-1243	60	28	α	α	NOUN
fis-1243	60	29	ε	ε	PROPN
fis-1243	60	30	α	α	NOUN
fis-1243	60	31	0	0	NUM
fis-1243	60	32	ε	ε	PROPN
fis-1243	60	33	ε	ε	PROPN
fis-1243	60	34	α	α	NOUN
fis-1243	60	35	ε	ε	PROPN
fis-1243	60	36	α	α	NOUN
fis-1243	60	37	0	0	NUM
fis-1243	60	38			NOUN
fis-1243	60	39			NOUN
fis-1243	60	40			NOUN
fis-1243	60	41			NOUN
fis-1243	60	42			NOUN
fis-1243	60	43			NOUN
fis-1243	60	44			X
fis-1243	60	45			X
fis-1243	60	46	(	(	PUNCT
fis-1243	60	47	6	6	X
fis-1243	60	48	)	)	PUNCT
fis-1243	60	49	often	often	ADV
fis-1243	60	50	referred	refer	VERB
fis-1243	60	51	to	to	ADP
fis-1243	60	52	as	as	ADP
fis-1243	60	53	biot	biot	NOUN
fis-1243	60	54	’s	’s	PART
fis-1243	60	55	equation	equation	NOUN
fis-1243	60	56	of	of	ADP
fis-1243	60	57	standard	standard	ADJ
fis-1243	60	58	dissipative	dissipative	ADJ
fis-1243	60	59	systems	system	NOUN
fis-1243	60	60	,	,	PUNCT
fis-1243	60	61	see	see	VERB
fis-1243	60	62	[	[	X
fis-1243	60	63	22	22	NUM
fis-1243	60	64	,	,	PUNCT
fis-1243	60	65	24	24	NUM
fis-1243	60	66	,	,	PUNCT
fis-1243	60	67	33	33	NUM
fis-1243	60	68	]	]	PUNCT
fis-1243	60	69	for	for	ADP
fis-1243	60	70	instance	instance	NOUN
fis-1243	60	71	.	.	PUNCT
fis-1243	61	1	we	we	PRON
fis-1243	61	2	now	now	ADV
fis-1243	61	3	proceed	proceed	VERB
fis-1243	61	4	with	with	ADP
fis-1243	61	5	the	the	DET
fis-1243	61	6	numerical	numerical	ADJ
fis-1243	61	7	approximation	approximation	NOUN
fis-1243	61	8	of	of	ADP
fis-1243	61	9	the	the	DET
fis-1243	61	10	rate	rate	NOUN
fis-1243	61	11	eq	eq	ADJ
fis-1243	61	12	.	.	PUNCT
fis-1243	62	1	(	(	PUNCT
fis-1243	62	2	6	6	NUM
fis-1243	62	3	)	)	PUNCT
fis-1243	62	4	.	.	PUNCT
fis-1243	63	1	in	in	ADP
fis-1243	63	2	particular	particular	ADJ
fis-1243	63	3	,	,	PUNCT
fis-1243	63	4	we	we	PRON
fis-1243	63	5	adopt	adopt	VERB
fis-1243	63	6	a	a	DET
fis-1243	63	7	backward	backward	ADJ
fis-1243	63	8	euler	euler	NOUN
fis-1243	63	9	integration	integration	NOUN
fis-1243	63	10	scheme	scheme	NOUN
fis-1243	63	11	and	and	CCONJ
fis-1243	63	12	assume	assume	VERB
fis-1243	63	13	that	that	SCONJ
fis-1243	63	14	plastic	plastic	ADJ
fis-1243	63	15	strain	strain	NOUN
fis-1243	63	16	pε	pε	NOUN
fis-1243	63	17	and	and	CCONJ
fis-1243	63	18	strain	strain	NOUN
fis-1243	63	19	-	-	PUNCT
fis-1243	63	20	like	like	ADJ
fis-1243	63	21	internal	internal	ADJ
fis-1243	63	22	variables	variable	NOUN
fis-1243	63	23	α	α	PRON
fis-1243	63	24	vary	vary	VERB
fis-1243	63	25	linearly	linearly	ADV
fis-1243	63	26	in	in	ADP
fis-1243	63	27	each	each	DET
fis-1243	63	28	time	time	NOUN
fis-1243	63	29	step	step	NOUN
fis-1243	63	30	1	1	NUM
fis-1243	63	31	]	]	X
fis-1243	63	32	[	[	PUNCT
fis-1243	63	33	,	,	PUNCT
fis-1243	63	34	n	n	CCONJ
fis-1243	63	35	ntt	ntt	PROPN
fis-1243	63	36			VERB
fis-1243	63	37	.	.	PUNCT
fis-1243	64	1	consequently	consequently	ADV
fis-1243	64	2	,	,	PUNCT
fis-1243	64	3	by	by	ADP
fis-1243	64	4	exploiting	exploit	VERB
fis-1243	64	5	the	the	DET
fis-1243	64	6	degree	degree	NOUN
fis-1243	64	7	-	-	PUNCT
fis-1243	64	8	one	one	NUM
fis-1243	64	9	positive	positive	ADJ
fis-1243	64	10	homogeneity	homogeneity	NOUN
fis-1243	64	11	of	of	ADP
fis-1243	64	12	the	the	DET
fis-1243	64	13	dissipation	dissipation	NOUN
fis-1243	64	14	function	function	NOUN
fis-1243	64	15	,	,	PUNCT
fis-1243	64	16	the	the	DET
fis-1243	64	17	incremental	incremental	ADJ
fis-1243	64	18	form	form	NOUN
fis-1243	64	19	of	of	ADP
fis-1243	64	20	(	(	PUNCT
fis-1243	64	21	6	6	NUM
fis-1243	64	22	)	)	PUNCT
fis-1243	64	23	follows	follow	VERB
fis-1243	64	24	:	:	PUNCT
fis-1243	64	25			NOUN
fis-1243	64	26			SYM
fis-1243	64	27			NOUN
fis-1243	64	28			SYM
fis-1243	64	29			NOUN
fis-1243	64	30			PUNCT
fis-1243	64	31			NOUN
fis-1243	65	1			PUNCT
fis-1243	66	1	p	p	NOUN
fis-1243	67	1	p	p	X
fis-1243	67	2	p	p	X
fis-1243	67	3	p	p	X
fis-1243	67	4	p	p	PROPN
fis-1243	67	5	1	1	NUM
fis-1243	67	6	p	p	NOUN
fis-1243	67	7	p	p	NOUN
fis-1243	67	8	p	p	NOUN
fis-1243	67	9	1	1	NUM
fis-1243	67	10	,	,	PUNCT
fis-1243	67	11	,	,	PUNCT
fis-1243	67	12	,	,	PUNCT
fis-1243	67	13	,	,	PUNCT
fis-1243	67	14	n	n	CCONJ
fis-1243	67	15	n	n	CCONJ
fis-1243	67	16	n	n	CCONJ
fis-1243	67	17	n	n	CCONJ
fis-1243	67	18	n	n	CCONJ
fis-1243	67	19	n	n	NOUN
fis-1243	67	20	d	d	NOUN
fis-1243	67	21	d	d	PROPN
fis-1243	67	22			PROPN
fis-1243	67	23			PROPN
fis-1243	67	24			PROPN
fis-1243	67	25			PROPN
fis-1243	67	26			PROPN
fis-1243	67	27			X
fis-1243	67	28			PUNCT
fis-1243	67	29			PROPN
fis-1243	67	30			PROPN
fis-1243	67	31			PROPN
fis-1243	67	32			NOUN
fis-1243	67	33			PRON
fis-1243	67	34			NOUN
fis-1243	67	35			PROPN
fis-1243	67	36			PROPN
fis-1243	67	37			X
fis-1243	67	38			X
fis-1243	67	39			PROPN
fis-1243	67	40			PROPN
fis-1243	67	41			PROPN
fis-1243	67	42			NOUN
fis-1243	67	43			PRON
fis-1243	67	44			NOUN
fis-1243	67	45			PROPN
fis-1243	67	46			PROPN
fis-1243	67	47			X
fis-1243	67	48			X
fis-1243	68	1	ε	ε	PROPN
fis-1243	68	2	ε	ε	PROPN
fis-1243	68	3	α	α	PROPN
fis-1243	68	4	α	α	NOUN
fis-1243	68	5	ε	ε	PROPN
fis-1243	68	6	ε	ε	PROPN
fis-1243	68	7	ε	ε	PROPN
fis-1243	68	8	α	α	PROPN
fis-1243	68	9	α	α	NOUN
fis-1243	68	10	ε	ε	PROPN
fis-1243	68	11	α	α	NOUN
fis-1243	68	12	0	0	NUM
fis-1243	69	1	ε	ε	PROPN
fis-1243	69	2	ε	ε	PROPN
fis-1243	69	3	ε	ε	PROPN
fis-1243	69	4	α	α	PROPN
fis-1243	69	5	α	α	NOUN
fis-1243	69	6	ε	ε	PROPN
fis-1243	69	7	α	α	NOUN
fis-1243	69	8	0	0	NUM
fis-1243	69	9			X
fis-1243	69	10			X
fis-1243	69	11	(	(	PUNCT
fis-1243	69	12	7	7	NUM
fis-1243	69	13	)	)	PUNCT
fis-1243	69	14	with	with	ADP
fis-1243	69	15	the	the	DET
fis-1243	69	16	notation	notation	NOUN
fis-1243	69	17			NOUN
fis-1243	69	18			PROPN
fis-1243	69	19			NOUN
fis-1243	69	20	•	•	PUNCT
fis-1243	69	21	•	•	X
fis-1243	69	22	|	|	ADV
fis-1243	69	23	nt	not	PART
fis-1243	69	24	tn	tn	NOUN
fis-1243	69	25			NUM
fis-1243	69	26	,	,	PUNCT
fis-1243	69	27			NOUN
fis-1243	69	28			SYM
fis-1243	69	29			NOUN
fis-1243	69	30			PROPN
fis-1243	69	31	11	11	NUM
fis-1243	69	32	•	•	NUM
fis-1243	69	33	•	•	NOUN
fis-1243	70	1	|	|	ADV
fis-1243	70	2	nt	not	PART
fis-1243	70	3	tn	tn	NOUN
fis-1243	70	4			PROPN
fis-1243	70	5			PRON
fis-1243	70	6	,	,	PUNCT
fis-1243	70	7			PROPN
fis-1243	70	8			SYM
fis-1243	70	9			NOUN
fis-1243	70	10			SYM
fis-1243	70	11			NOUN
fis-1243	70	12	1	1	ADJ
fis-1243	70	13	•	•	NUM
fis-1243	70	14	•	•	NOUN
fis-1243	70	15	•	•	NUM
fis-1243	70	16	n	n	PRON
fis-1243	70	17	n	n	NOUN
fis-1243	70	18			PUNCT
fis-1243	70	19			PROPN
fis-1243	70	20			PROPN
fis-1243	70	21	.	.	PUNCT
fis-1243	71	1	eq	eq	ADP
fis-1243	71	2	.	.	PUNCT
fis-1243	72	1	(	(	PUNCT
fis-1243	72	2	7	7	X
fis-1243	72	3	)	)	PUNCT
fis-1243	72	4	represent	represent	VERB
fis-1243	72	5	the	the	DET
fis-1243	72	6	euler	euler	NOUN
fis-1243	72	7	-	-	PUNCT
fis-1243	72	8	lagrange	lagrange	NOUN
fis-1243	72	9	first	first	ADJ
fis-1243	72	10	order	order	NOUN
fis-1243	72	11	conditions	condition	NOUN
fis-1243	72	12	associated	associate	VERB
fis-1243	72	13	to	to	ADP
fis-1243	72	14	the	the	DET
fis-1243	72	15	incremental	incremental	ADJ
fis-1243	72	16	minimization	minimization	NOUN
fis-1243	72	17	problem	problem	NOUN
fis-1243	73	1			PROPN
fis-1243	73	2			PROPN
fis-1243	73	3			NOUN
fis-1243	73	4			SYM
fis-1243	73	5			NOUN
fis-1243	73	6			NOUN
fis-1243	73	7			PROPN
fis-1243	73	8	p	p	X
fis-1243	73	9	e	e	PROPN
fis-1243	73	10	,	,	PUNCT
fis-1243	73	11	trial	trial	NOUN
fis-1243	73	12	p	p	NOUN
fis-1243	73	13	trial	trial	NOUN
fis-1243	73	14	p	p	NOUN
fis-1243	73	15	1	1	NUM
fis-1243	73	16	1	1	NUM
fis-1243	73	17	,	,	PUNCT
fis-1243	73	18	inf	inf	NOUN
fis-1243	73	19	,	,	PUNCT
fis-1243	73	20	,	,	PUNCT
fis-1243	73	21	n	n	CCONJ
fis-1243	73	22	n	n	PROPN
fis-1243	73	23	d	d	PROPN
fis-1243	73	24			ADV
fis-1243	73	25			PUNCT
fis-1243	73	26			NOUN
fis-1243	73	27			X
fis-1243	74	1			PROPN
fis-1243	74	2			PROPN
fis-1243	74	3			NOUN
fis-1243	74	4			PRON
fis-1243	74	5			NOUN
fis-1243	74	6			PRON
fis-1243	74	7			PUNCT
fis-1243	74	8			X
fis-1243	74	9	ε	ε	PROPN
fis-1243	74	10	α	α	NOUN
fis-1243	74	11	ε	ε	PROPN
fis-1243	74	12	ε	ε	PROPN
fis-1243	74	13	α	α	PROPN
fis-1243	74	14	α	α	X
fis-1243	74	15	ε	ε	PROPN
fis-1243	74	16	α	α	PROPN
fis-1243	74	17	(	(	PUNCT
fis-1243	74	18	8)	8)	NUM
fis-1243	74	19	where	where	SCONJ
fis-1243	74	20	e	e	NOUN
fis-1243	74	21	,	,	PUNCT
fis-1243	74	22	trial	trial	NOUN
fis-1243	74	23	p	p	NOUN
fis-1243	74	24	1	1	NUM
fis-1243	74	25	1n	1n	NUM
fis-1243	74	26	n	n	CCONJ
fis-1243	74	27	n	n	NOUN
fis-1243	74	28			ADJ
fis-1243	74	29	ε	ε	ADJ
fis-1243	74	30	ε	ε	PROPN
fis-1243	74	31	ε	ε	PROPN
fis-1243	74	32	,	,	PUNCT
fis-1243	74	33	trial	trial	NOUN
fis-1243	74	34	1n	1n	NUM
fis-1243	74	35	n	n	NUM
fis-1243	74	36	α	α	PROPN
fis-1243	74	37	α	α	NOUN
fis-1243	74	38	define	define	VERB
fis-1243	74	39	the	the	DET
fis-1243	74	40	elastic	elastic	ADJ
fis-1243	74	41	trial	trial	NOUN
fis-1243	74	42	state	state	NOUN
fis-1243	74	43	,	,	PUNCT
fis-1243	74	44	i.e.	i.e.	X
fis-1243	74	45	the	the	DET
fis-1243	74	46	material	material	NOUN
fis-1243	74	47	state	state	NOUN
fis-1243	74	48	corresponding	correspond	VERB
fis-1243	74	49	to	to	ADP
fis-1243	74	50	no	no	DET
fis-1243	74	51	plastic	plastic	ADJ
fis-1243	74	52	evolution	evolution	NOUN
fis-1243	74	53	.	.	PUNCT
fis-1243	75	1	therefore	therefore	ADV
fis-1243	75	2	,	,	PUNCT
fis-1243	75	3	the	the	DET
fis-1243	75	4	incremental	incremental	ADJ
fis-1243	75	5	minimization	minimization	NOUN
fis-1243	75	6	problem	problem	NOUN
fis-1243	75	7	(	(	PUNCT
fis-1243	75	8	8)	8)	NUM
fis-1243	75	9	determines	determine	VERB
fis-1243	75	10	the	the	DET
fis-1243	75	11	internal	internal	ADJ
fis-1243	75	12	state	state	NOUN
fis-1243	75	13	of	of	ADP
fis-1243	75	14	the	the	DET
fis-1243	75	15	material	material	NOUN
fis-1243	75	16	for	for	ADP
fis-1243	75	17	finite	finite	ADJ
fis-1243	75	18	increments	increment	NOUN
fis-1243	75	19	of	of	ADP
fis-1243	75	20	time	time	NOUN
fis-1243	75	21	.	.	PUNCT
fis-1243	76	1	we	we	PRON
fis-1243	76	2	remark	remark	VERB
fis-1243	76	3	that	that	SCONJ
fis-1243	76	4	the	the	DET
fis-1243	76	5	present	present	ADJ
fis-1243	76	6	formulation	formulation	NOUN
fis-1243	76	7	is	be	AUX
fis-1243	76	8	similar	similar	ADJ
fis-1243	76	9	to	to	ADP
fis-1243	76	10	the	the	DET
fis-1243	76	11	one	one	NOUN
fis-1243	76	12	proposed	propose	VERB
fis-1243	76	13	in	in	ADP
fis-1243	76	14	[	[	X
fis-1243	76	15	24	24	NUM
fis-1243	76	16	]	]	PUNCT
fis-1243	76	17	,	,	PUNCT
fis-1243	76	18	under	under	ADP
fis-1243	76	19	the	the	DET
fis-1243	76	20	assumption	assumption	NOUN
fis-1243	76	21	of	of	ADP
fis-1243	76	22	rateindependent	rateindependent	NOUN
fis-1243	76	23	evolution	evolution	NOUN
fis-1243	76	24	and	and	CCONJ
fis-1243	76	25	linear	linear	ADJ
fis-1243	76	26	variation	variation	NOUN
fis-1243	76	27	in	in	ADP
fis-1243	76	28	time	time	NOUN
fis-1243	76	29	of	of	ADP
fis-1243	76	30	plastic	plastic	ADJ
fis-1243	76	31	strain	strain	NOUN
fis-1243	76	32	pε	pε	NOUN
fis-1243	76	33	and	and	CCONJ
fis-1243	76	34	strain	strain	NOUN
fis-1243	76	35	-	-	PUNCT
fis-1243	76	36	like	like	ADJ
fis-1243	76	37	internal	internal	ADJ
fis-1243	76	38	variables	variable	NOUN
fis-1243	76	39	α	α	X
fis-1243	76	40	.	.	PUNCT
fis-1243	77	1	computation	computation	NOUN
fis-1243	77	2	of	of	ADP
fis-1243	77	3	the	the	DET
fis-1243	77	4	dissipation	dissipation	NOUN
fis-1243	77	5	function	function	VERB
fis-1243	77	6	inematic	inematic	ADJ
fis-1243	77	7	and	and	CCONJ
fis-1243	77	8	isotropic	isotropic	ADJ
fis-1243	77	9	hardening	hardening	NOUN
fis-1243	77	10	are	be	AUX
fis-1243	77	11	distinguished	distinguish	VERB
fis-1243	77	12	by	by	ADP
fis-1243	77	13	assuming	assume	VERB
fis-1243	77	14	that	that	SCONJ
fis-1243	77	15	the	the	DET
fis-1243	77	16	yield	yield	NOUN
fis-1243	77	17	function	function	NOUN
fis-1243	77	18	can	can	AUX
fis-1243	77	19	be	be	AUX
fis-1243	77	20	represented	represent	VERB
fis-1243	77	21	as	as	ADP
fis-1243	77	22			NOUN
fis-1243	77	23	k	k	PART
fis-1243	78	1	i	i	PRON
fis-1243	78	2	,	,	PUNCT
fis-1243	78	3	f	f	PROPN
fis-1243	78	4	qσ	qσ	PROPN
fis-1243	78	5	q	q	PROPN
fis-1243	78	6	,	,	PUNCT
fis-1243	78	7	where	where	SCONJ
fis-1243	78	8	kq	kq	PROPN
fis-1243	79	1	[	[	X
fis-1243	79	2	resp	resp	NOUN
fis-1243	79	3	.	.	PUNCT
fis-1243	79	4	,	,	PUNCT
fis-1243	79	5	iq	iq	INTJ
fis-1243	79	6	]	]	PUNCT
fis-1243	79	7	is	be	AUX
fis-1243	79	8	the	the	DET
fis-1243	79	9	stress	stress	NOUN
fis-1243	79	10	-	-	PUNCT
fis-1243	79	11	like	like	ADJ
fis-1243	79	12	kinematical	kinematical	ADJ
fis-1243	80	1	[	[	X
fis-1243	80	2	resp	resp	NOUN
fis-1243	80	3	.	.	PUNCT
fis-1243	80	4	,	,	PUNCT
fis-1243	80	5	isotropic	isotropic	NOUN
fis-1243	80	6	]	]	PUNCT
fis-1243	80	7	hardening	harden	VERB
fis-1243	80	8	variable	variable	NOUN
fis-1243	80	9	.	.	PUNCT
fis-1243	81	1	accordingly	accordingly	ADV
fis-1243	81	2	,	,	PUNCT
fis-1243	81	3	the	the	DET
fis-1243	81	4	dissipation	dissipation	NOUN
fis-1243	81	5	function	function	NOUN
fis-1243	81	6	is	be	AUX
fis-1243	81	7	given	give	VERB
fis-1243	81	8	by	by	ADP
fis-1243	81	9			NOUN
fis-1243	81	10			PROPN
fis-1243	81	11			NOUN
fis-1243	81	12			SYM
fis-1243	81	13			NOUN
fis-1243	81	14			PUNCT
fis-1243	82	1			PROPN
fis-1243	83	1			PROPN
fis-1243	83	2	k	k	NOUN
fis-1243	84	1	i	i	PRON
fis-1243	84	2	k	k	INTJ
fis-1243	85	1	i	i	PRON
fis-1243	85	2	p	p	X
fis-1243	86	1	p	p	X
fis-1243	86	2	k	k	PROPN
fis-1243	87	1	i	i	PRON
fis-1243	87	2	k	k	PROPN
fis-1243	88	1	k	k	PROPN
fis-1243	89	1	i	i	PRON
fis-1243	89	2	i	i	PRON
fis-1243	89	3	,	,	PUNCT
fis-1243	89	4	,	,	PUNCT
fis-1243	89	5	,	,	PUNCT
fis-1243	89	6	0	0	NUM
fis-1243	89	7	,	,	PUNCT
fis-1243	89	8	,	,	PUNCT
fis-1243	89	9	sup	sup	NOUN
fis-1243	89	10	q	q	PROPN
fis-1243	89	11	f	f	X
fis-1243	89	12	q	q	NOUN
fis-1243	90	1	d	d	X
fis-1243	90	2	q	q	NOUN
fis-1243	90	3			PUNCT
fis-1243	90	4			VERB
fis-1243	90	5			NOUN
fis-1243	90	6			PUNCT
fis-1243	90	7			PUNCT
fis-1243	90	8			X
fis-1243	90	9			NUM
fis-1243	90	10			NOUN
fis-1243	90	11			PUNCT
fis-1243	90	12			PUNCT
fis-1243	90	13			PROPN
fis-1243	90	14			PUNCT
fis-1243	90	15	σ	σ	PROPN
fis-1243	90	16	q	q	PROPN
fis-1243	90	17	σ	σ	PROPN
fis-1243	90	18	q	q	PROPN
fis-1243	90	19	ε	ε	PROPN
fis-1243	90	20	α	α	PROPN
fis-1243	90	21	σ	σ	X
fis-1243	90	22	ε	ε	PROPN
fis-1243	90	23	q	q	PROPN
fis-1243	90	24	α	α	PROPN
fis-1243	90	25	(	(	PUNCT
fis-1243	90	26	9	9	NUM
fis-1243	90	27	)	)	PUNCT
fis-1243	91	1	where	where	SCONJ
fis-1243	91	2	kα	kα	PROPN
fis-1243	92	1	[	[	X
fis-1243	92	2	resp	resp	NOUN
fis-1243	92	3	.	.	PUNCT
fis-1243	92	4	,	,	PUNCT
fis-1243	93	1	i	i	PROPN
fis-1243	93	2	]	]	PUNCT
fis-1243	93	3	is	be	AUX
fis-1243	93	4	the	the	DET
fis-1243	93	5	strain	strain	NOUN
fis-1243	93	6	-	-	PUNCT
fis-1243	93	7	like	like	ADJ
fis-1243	93	8	kinematical	kinematical	ADJ
fis-1243	94	1	[	[	X
fis-1243	94	2	resp	resp	NOUN
fis-1243	94	3	.	.	PUNCT
fis-1243	94	4	,	,	PUNCT
fis-1243	94	5	isotropic	isotropic	NOUN
fis-1243	94	6	]	]	PUNCT
fis-1243	94	7	hardening	harden	VERB
fis-1243	94	8	variable	variable	NOUN
fis-1243	94	9	.	.	PUNCT
fis-1243	95	1	setting	set	VERB
fis-1243	95	2			PRON
fis-1243	95	3	k	k	ADJ
fis-1243	95	4	σ	σ	NOUN
fis-1243	95	5	σ	σ	PROPN
fis-1243	95	6	q	q	PROPN
fis-1243	95	7	,	,	PUNCT
fis-1243	95	8	it	it	PRON
fis-1243	95	9	results	result	VERB
fis-1243	95	10			NOUN
fis-1243	95	11			PUNCT
fis-1243	95	12			NUM
fis-1243	95	13			NUM
fis-1243	95	14			PROPN
fis-1243	96	1			PROPN
fis-1243	96	2	k	k	INTJ
fis-1243	97	1	i	i	PRON
fis-1243	97	2	i	i	PRON
fis-1243	98	1	p	p	VERB
fis-1243	99	1	p	p	X
fis-1243	100	1	p	p	X
fis-1243	101	1	k	k	X
fis-1243	102	1	i	i	PRON
fis-1243	102	2	k	k	PROPN
fis-1243	103	1	k	k	PROPN
fis-1243	104	1	i	i	PRON
fis-1243	104	2	i	i	PRON
fis-1243	104	3	{	{	PUNCT
fis-1243	104	4	,	,	PUNCT
fis-1243	104	5	,	,	PUNCT
fis-1243	104	6	}	}	PUNCT
fis-1243	104	7	(	(	PUNCT
fis-1243	104	8	,	,	PUNCT
fis-1243	104	9	)	)	PUNCT
fis-1243	104	10	0	0	NUM
fis-1243	104	11	,	,	PUNCT
fis-1243	104	12	,	,	PUNCT
fis-1243	104	13	sup	sup	INTJ
fis-1243	104	14	(	(	PUNCT
fis-1243	104	15	)	)	PUNCT
fis-1243	104	16	q	q	PROPN
fis-1243	105	1	f	f	X
fis-1243	105	2	q	q	PUNCT
fis-1243	106	1	d	d	X
fis-1243	106	2	q	q	NOUN
fis-1243	106	3			NOUN
fis-1243	106	4			NOUN
fis-1243	106	5			NOUN
fis-1243	106	6			PUNCT
fis-1243	106	7			X
fis-1243	106	8			NUM
fis-1243	106	9			NOUN
fis-1243	106	10			ADV
fis-1243	106	11			PROPN
fis-1243	106	12			NOUN
fis-1243	106	13			PRON
fis-1243	106	14			NOUN
fis-1243	106	15			X
fis-1243	106	16			PUNCT
fis-1243	106	17	σ	σ	PROPN
fis-1243	106	18	q	q	PROPN
fis-1243	106	19	σ	σ	PROPN
fis-1243	106	20	ε	ε	PROPN
fis-1243	106	21	α	α	PROPN
fis-1243	106	22	σ	σ	X
fis-1243	106	23	ε	ε	PROPN
fis-1243	106	24	q	q	PROPN
fis-1243	106	25	ε	ε	PROPN
fis-1243	106	26	α	α	PROPN
fis-1243	106	27	(	(	PUNCT
fis-1243	106	28	10	10	NUM
fis-1243	106	29	)	)	PUNCT
fis-1243	106	30	k	k	PROPN
fis-1243	106	31	n.a	n.a	PROPN
fis-1243	106	32	.	.	PROPN
fis-1243	106	33	nodargi	nodargi	PROPN
fis-1243	106	34	et	et	PROPN
fis-1243	106	35	alii	alii	PROPN
fis-1243	106	36	,	,	PUNCT
fis-1243	106	37	frattura	frattura	PROPN
fis-1243	106	38	ed	ed	PROPN
fis-1243	106	39	integrità	integrità	PROPN
fis-1243	106	40	strutturale	strutturale	PROPN
fis-1243	106	41	,	,	PUNCT
fis-1243	106	42	29	29	NUM
fis-1243	106	43	(	(	PUNCT
fis-1243	106	44	2014	2014	NUM
fis-1243	106	45	)	)	PUNCT
fis-1243	106	46	111	111	NUM
fis-1243	106	47	-	-	SYM
fis-1243	106	48	127	127	NUM
fis-1243	106	49	;	;	PUNCT
fis-1243	106	50	doi	doi	NOUN
fis-1243	106	51	:	:	PUNCT
fis-1243	106	52	10.3221	10.3221	NUM
fis-1243	106	53	/	/	SYM
fis-1243	106	54	igf	igf	PROPN
fis-1243	106	55	-	-	PUNCT
fis-1243	106	56	esis.29.11	esis.29.11	PROPN
fis-1243	106	57	114	114	NUM
fis-1243	106	58	whence	whence	NOUN
fis-1243	106	59	it	it	PRON
fis-1243	106	60	follows	follow	VERB
fis-1243	106	61	that	that	SCONJ
fis-1243	106	62	p	p	PROPN
fis-1243	106	63	k	k	PROPN
fis-1243	106	64			PROPN
fis-1243	106	65	α	α	PROPN
fis-1243	106	66	ε	ε	PROPN
fis-1243	106	67	(	(	PUNCT
fis-1243	106	68	11	11	NUM
fis-1243	106	69	)	)	PUNCT
fis-1243	106	70	and	and	CCONJ
fis-1243	106	71			NOUN
fis-1243	107	1			PUNCT
fis-1243	107	2			PROPN
fis-1243	107	3			PROPN
fis-1243	107	4			NOUN
fis-1243	107	5			PUNCT
fis-1243	107	6			PROPN
fis-1243	108	1			PROPN
fis-1243	109	1	i	i	PRON
fis-1243	109	2	i	i	PRON
fis-1243	110	1	p	p	X
fis-1243	110	2	p	p	X
fis-1243	111	1	i	i	PRON
fis-1243	111	2	i	i	PRON
fis-1243	111	3	i	i	VERB
fis-1243	111	4	ˆ	ˆ	X
fis-1243	111	5	,	,	PUNCT
fis-1243	111	6	ˆ	ˆ	ADV
fis-1243	111	7	,	,	PUNCT
fis-1243	111	8	0	0	NUM
fis-1243	111	9	ˆ	ˆ	NOUN
fis-1243	111	10	,	,	PUNCT
fis-1243	111	11	sup	sup	NOUN
fis-1243	111	12	q	q	PROPN
fis-1243	111	13	f	f	X
fis-1243	111	14	q	q	NOUN
fis-1243	112	1	d	d	X
fis-1243	112	2	q	q	NOUN
fis-1243	112	3			NOUN
fis-1243	112	4			NOUN
fis-1243	112	5			NOUN
fis-1243	112	6			X
fis-1243	112	7			NUM
fis-1243	112	8			NOUN
fis-1243	112	9			ADV
fis-1243	112	10			PUNCT
fis-1243	112	11	σ	σ	PROPN
fis-1243	112	12	σ	σ	PROPN
fis-1243	112	13	ε	ε	PROPN
fis-1243	112	14	σ	σ	PROPN
fis-1243	112	15	ε	ε	PROPN
fis-1243	112	16	(	(	PUNCT
fis-1243	112	17	12	12	NUM
fis-1243	112	18	)	)	PUNCT
fis-1243	112	19	with	with	ADP
fis-1243	112	20	the	the	DET
fis-1243	112	21	assumption	assumption	NOUN
fis-1243	112	22	that	that	SCONJ
fis-1243	112	23	the	the	DET
fis-1243	112	24	yield	yield	NOUN
fis-1243	112	25	function	function	NOUN
fis-1243	112	26	is	be	AUX
fis-1243	112	27	isotropic	isotropic	ADJ
fis-1243	112	28	,	,	PUNCT
fis-1243	112	29	it	it	PRON
fis-1243	112	30	can	can	AUX
fis-1243	112	31	be	be	AUX
fis-1243	112	32	represented	represent	VERB
fis-1243	112	33	,	,	PUNCT
fis-1243	112	34	with	with	ADP
fis-1243	112	35	a	a	DET
fis-1243	112	36	slight	slight	ADJ
fis-1243	112	37	abuse	abuse	NOUN
fis-1243	112	38	of	of	ADP
fis-1243	112	39	notation	notation	NOUN
fis-1243	112	40	,	,	PUNCT
fis-1243	112	41	as	as	ADP
fis-1243	112	42			PROPN
fis-1243	112	43	ˆ	ˆ	NOUN
fis-1243	112	44	ˆ	ˆ	NOUN
fis-1243	112	45	ˆ	ˆ	PUNCT
fis-1243	112	46	i	i	PRON
fis-1243	112	47	,	,	PUNCT
fis-1243	112	48	,	,	PUNCT
fis-1243	112	49	,	,	PUNCT
fis-1243	112	50	f	f	PROPN
fis-1243	112	51	q	q	X
fis-1243	112	52			ADP
fis-1243	112	53	σ	σ	PROPN
fis-1243	112	54	σ	σ	PROPN
fis-1243	112	55	σ	σ	PROPN
fis-1243	112	56	,	,	PUNCT
fis-1243	112	57	where	where	SCONJ
fis-1243	112	58	ˆσ	ˆσ	NOUN
fis-1243	112	59	,	,	PUNCT
fis-1243	112	60	ˆ	ˆ	PRON
fis-1243	112	61	0	0	NOUN
fis-1243	112	62	σ	σ	X
fis-1243	112	63	,	,	PUNCT
fis-1243	112	64			ADJ
fis-1243	112	65	ˆ	ˆ	NOUN
fis-1243	112	66	0	0	NUM
fis-1243	112	67	,	,	PUNCT
fis-1243	112	68	3	3	NUM
fis-1243	112	69	σ	σ	ADP
fis-1243	112	70	are	be	AUX
fis-1243	112	71	the	the	DET
fis-1243	112	72	haigh	haigh	NOUN
fis-1243	112	73	-	-	PUNCT
fis-1243	112	74	westergaard	westergaard	NOUN
fis-1243	112	75	coordinates	coordinate	NOUN
fis-1243	112	76	of	of	ADP
fis-1243	112	77	σ̂	σ̂	PROPN
fis-1243	112	78	(	(	PUNCT
fis-1243	112	79	see	see	VERB
fis-1243	112	80	appendix	appendix	NOUN
fis-1243	112	81	a	a	PRON
fis-1243	112	82	)	)	PUNCT
fis-1243	112	83	.	.	PUNCT
fis-1243	113	1	since	since	SCONJ
fis-1243	113	2	the	the	DET
fis-1243	113	3	maximum	maximum	NOUN
fis-1243	113	4	of	of	ADP
fis-1243	113	5	the	the	DET
fis-1243	113	6	scalar	scalar	ADJ
fis-1243	113	7	product	product	NOUN
fis-1243	113	8	of	of	ADP
fis-1243	113	9	two	two	NUM
fis-1243	113	10	symmetric	symmetric	ADJ
fis-1243	113	11	tensors	tensor	NOUN
fis-1243	113	12	is	be	AUX
fis-1243	113	13	attained	attain	VERB
fis-1243	113	14	when	when	SCONJ
fis-1243	113	15	they	they	PRON
fis-1243	113	16	are	be	AUX
fis-1243	113	17	coaxial	coaxial	ADJ
fis-1243	113	18	(	(	PUNCT
fis-1243	113	19	see	see	VERB
fis-1243	113	20	,	,	PUNCT
fis-1243	113	21	e.g.	e.g.	ADV
fis-1243	113	22	,	,	PUNCT
fis-1243	113	23	[	[	X
fis-1243	113	24	34	34	NUM
fis-1243	113	25	]	]	PUNCT
fis-1243	113	26	)	)	PUNCT
fis-1243	113	27	,	,	PUNCT
fis-1243	113	28	in	in	ADP
fis-1243	113	29	(	(	PUNCT
fis-1243	113	30	12	12	NUM
fis-1243	113	31	)	)	PUNCT
fis-1243	113	32	it	it	PRON
fis-1243	113	33	is	be	AUX
fis-1243	113	34	possible	possible	ADJ
fis-1243	113	35	to	to	PART
fis-1243	113	36	assume	assume	VERB
fis-1243	113	37	that	that	SCONJ
fis-1243	113	38	σ̂	σ̂	PROPN
fis-1243	113	39	is	be	AUX
fis-1243	113	40	coaxial	coaxial	ADJ
fis-1243	113	41	with	with	ADP
fis-1243	113	42	pε	pε	PROPN
fis-1243	113	43	and	and	CCONJ
fis-1243	113	44	to	to	PART
fis-1243	113	45	express	express	VERB
fis-1243	113	46	their	their	PRON
fis-1243	113	47	scalar	scalar	ADJ
fis-1243	113	48	product	product	NOUN
fis-1243	113	49	making	make	VERB
fis-1243	113	50	use	use	NOUN
fis-1243	113	51	of	of	ADP
fis-1243	113	52	the	the	DET
fis-1243	113	53	haigh	haigh	NOUN
fis-1243	113	54	-	-	PUNCT
fis-1243	113	55	westergaard	westergaard	NOUN
fis-1243	113	56	representation	representation	NOUN
fis-1243	113	57	.	.	PUNCT
fis-1243	114	1	accordingly	accordingly	ADV
fis-1243	114	2	,	,	PUNCT
fis-1243	114	3	the	the	DET
fis-1243	114	4	dissipation	dissipation	NOUN
fis-1243	114	5	function	function	NOUN
fis-1243	114	6	is	be	AUX
fis-1243	114	7	given	give	VERB
fis-1243	114	8	by	by	ADP
fis-1243	114	9			NOUN
fis-1243	114	10			PUNCT
fis-1243	114	11			PROPN
fis-1243	115	1			PROPN
fis-1243	115	2			NOUN
fis-1243	115	3			PUNCT
fis-1243	115	4			PROPN
fis-1243	115	5	p	p	PROPN
fis-1243	115	6	p	p	NOUN
fis-1243	115	7	p	p	NOUN
fis-1243	115	8	ˆ	ˆ	ADJ
fis-1243	115	9	ˆ	ˆ	ADV
fis-1243	115	10	ˆ	ˆ	ADV
fis-1243	115	11	i	i	PRON
fis-1243	115	12	ˆ	ˆ	VERB
fis-1243	115	13	ˆ	ˆ	ADV
fis-1243	115	14	ˆ	ˆ	ADV
fis-1243	116	1	i	i	PRON
fis-1243	116	2	p	p	NOUN
fis-1243	116	3	ˆ	ˆ	ADV
fis-1243	116	4	ˆ	ˆ	ADV
fis-1243	117	1	ˆi	ˆi	X
fis-1243	118	1	i	i	PRON
fis-1243	118	2	i	i	PRON
fis-1243	118	3	,	,	PUNCT
fis-1243	118	4	,	,	PUNCT
fis-1243	118	5	,	,	PUNCT
fis-1243	118	6	,	,	PUNCT
fis-1243	118	7	,	,	PUNCT
fis-1243	118	8	,	,	PUNCT
fis-1243	118	9	0	0	NUM
fis-1243	118	10	,	,	PUNCT
fis-1243	118	11	sup	sup	PROPN
fis-1243	118	12	cos	cos	PROPN
fis-1243	118	13	(	(	PUNCT
fis-1243	118	14	)	)	PUNCT
fis-1243	118	15	q	q	PROPN
fis-1243	119	1	f	f	X
fis-1243	119	2	q	q	PUNCT
fis-1243	119	3	d	d	X
fis-1243	119	4	q	q	NOUN
fis-1243	119	5			NOUN
fis-1243	119	6			X
fis-1243	119	7			PROPN
fis-1243	119	8			VERB
fis-1243	119	9			VERB
fis-1243	119	10			NOUN
fis-1243	119	11			X
fis-1243	119	12			ADP
fis-1243	119	13			VERB
fis-1243	119	14			X
fis-1243	119	15			ADP
fis-1243	119	16			PROPN
fis-1243	119	17			X
fis-1243	119	18			X
fis-1243	119	19			PRON
fis-1243	119	20			NOUN
fis-1243	119	21			ADJ
fis-1243	119	22			NOUN
fis-1243	119	23			PUNCT
fis-1243	119	24			X
fis-1243	120	1			PROPN
fis-1243	120	2			ADJ
fis-1243	120	3			PROPN
fis-1243	120	4			VERB
fis-1243	120	5			PUNCT
fis-1243	120	6	σ	σ	PROPN
fis-1243	120	7	σ	σ	PROPN
fis-1243	120	8	σ	σ	PROPN
fis-1243	120	9	σ	σ	PROPN
fis-1243	120	10	σ	σ	PROPN
fis-1243	120	11	σ	σ	PROPN
fis-1243	120	12	σ	σ	PROPN
fis-1243	120	13	σ	σ	PROPN
fis-1243	120	14	σε	σε	PROPN
fis-1243	120	15	ε	ε	PROPN
fis-1243	120	16	ε	ε	PROPN
fis-1243	120	17	ε	ε	PROPN
fis-1243	120	18	(	(	PUNCT
fis-1243	120	19	13	13	NUM
fis-1243	120	20	)	)	PUNCT
fis-1243	120	21	where	where	SCONJ
fis-1243	120	22	p	p	NOUN
fis-1243	120	23	ε	ε	PROPN
fis-1243	120	24	,	,	PUNCT
fis-1243	120	25	p	p	PROPN
fis-1243	120	26	0	0	PROPN
fis-1243	120	27			SYM
fis-1243	120	28			NUM
fis-1243	120	29	ε	ε	PROPN
fis-1243	120	30	,	,	PUNCT
fis-1243	120	31			ADJ
fis-1243	120	32	p	p	PROPN
fis-1243	120	33	0	0	NUM
fis-1243	120	34	,	,	PUNCT
fis-1243	120	35	3	3	PROPN
fis-1243	120	36			NOUN
fis-1243	120	37			NOUN
fis-1243	120	38			PROPN
fis-1243	120	39	ε	ε	PROPN
fis-1243	120	40	are	be	AUX
fis-1243	120	41	the	the	DET
fis-1243	120	42	haigh	haigh	NOUN
fis-1243	120	43	-	-	PUNCT
fis-1243	120	44	westergaard	westergaard	NOUN
fis-1243	120	45	coordinates	coordinate	NOUN
fis-1243	120	46	of	of	ADP
fis-1243	120	47	pε	pε	PROPN
fis-1243	120	48	.	.	PUNCT
fis-1243	121	1	deviatoric	deviatoric	ADJ
fis-1243	121	2	yield	yield	NOUN
fis-1243	121	3	function	function	NOUN
fis-1243	121	4	,	,	PUNCT
fis-1243	121	5	perfect	perfect	ADJ
fis-1243	121	6	plasticity	plasticity	NOUN
fis-1243	121	7	or	or	CCONJ
fis-1243	121	8	kinematic	kinematic	ADJ
fis-1243	121	9	hardening	harden	VERB
fis-1243	121	10	the	the	DET
fis-1243	121	11	yield	yield	NOUN
fis-1243	121	12	function	function	NOUN
fis-1243	121	13	is	be	AUX
fis-1243	121	14	assumed	assume	VERB
fis-1243	121	15	to	to	PART
fis-1243	121	16	be	be	AUX
fis-1243	121	17	of	of	ADP
fis-1243	121	18	the	the	DET
fis-1243	121	19	form	form	NOUN
fis-1243	121	20			NOUN
fis-1243	121	21			SYM
fis-1243	121	22			NOUN
fis-1243	121	23			PROPN
fis-1243	121	24	0ˆ	0ˆ	ADJ
fis-1243	121	25	ˆ	ˆ	VERB
fis-1243	121	26	ˆ	ˆ	ADV
fis-1243	121	27	ˆ	ˆ	NOUN
fis-1243	121	28	ˆ	ˆ	ADP
fis-1243	121	29	y	y	PROPN
fis-1243	121	30	,	,	PUNCT
fis-1243	121	31	,	,	PUNCT
fis-1243	122	1	f	f	PROPN
fis-1243	122	2	g	g	PROPN
fis-1243	122	3	c	c	X
fis-1243	122	4			ADP
fis-1243	122	5			PROPN
fis-1243	122	6			PROPN
fis-1243	122	7			PROPN
fis-1243	122	8			PROPN
fis-1243	122	9	σ	σ	PROPN
fis-1243	122	10	σ	σ	PROPN
fis-1243	122	11	σ	σ	PROPN
fis-1243	122	12	σ	σ	PROPN
fis-1243	122	13	σ	σ	PROPN
fis-1243	122	14	(	(	PUNCT
fis-1243	122	15	14	14	NUM
fis-1243	122	16	)	)	PUNCT
fis-1243	122	17	where	where	SCONJ
fis-1243	122	18	g	g	PROPN
fis-1243	122	19	is	be	AUX
fis-1243	122	20	a	a	DET
fis-1243	122	21	2c	2c	NOUN
fis-1243	122	22	,	,	PUNCT
fis-1243	122	23	positive	positive	ADJ
fis-1243	122	24	,	,	PUNCT
fis-1243	122	25	even	even	ADV
fis-1243	122	26	,	,	PUNCT
fis-1243	122	27	periodic	periodic	ADJ
fis-1243	122	28	function	function	NOUN
fis-1243	122	29	with	with	ADP
fis-1243	122	30	period	period	NOUN
fis-1243	122	31	2	2	NUM
fis-1243	122	32	3	3	PROPN
fis-1243	122	33	,	,	PUNCT
fis-1243	122	34	such	such	ADJ
fis-1243	122	35	that	that	SCONJ
fis-1243	122	36	0	0	NUM
fis-1243	122	37	g	g	NOUN
fis-1243	122	38	g	g	PROPN
fis-1243	122	39			ADV
fis-1243	122	40			PROPN
fis-1243	122	41	.	.	PUNCT
fis-1243	123	1	the	the	DET
fis-1243	123	2	latter	latter	ADJ
fis-1243	123	3	condition	condition	NOUN
fis-1243	123	4	guarantees	guarantee	VERB
fis-1243	123	5	that	that	SCONJ
fis-1243	123	6	curves	curve	NOUN
fis-1243	123	7	of	of	ADP
fis-1243	123	8	polar	polar	ADJ
fis-1243	123	9	equation	equation	NOUN
fis-1243	123	10			PROPN
fis-1243	123	11	ˆ	ˆ	NOUN
fis-1243	123	12	ˆ	ˆ	ADJ
fis-1243	123	13	constg	constg	PROPN
fis-1243	123	14			PROPN
fis-1243	124	1	σ	σ	NOUN
fis-1243	124	2	σ	σ	PROPN
fis-1243	124	3	are	be	AUX
fis-1243	124	4	convex	convex	ADJ
fis-1243	124	5	.	.	PUNCT
fis-1243	125	1	moreover	moreover	ADV
fis-1243	125	2	,	,	PUNCT
fis-1243	125	3	0y	0y	NUM
fis-1243	125	4	and	and	CCONJ
fis-1243	125	5	c	c	NOUN
fis-1243	125	6	are	be	AUX
fis-1243	125	7	positive	positive	ADJ
fis-1243	125	8	constants	constant	NOUN
fis-1243	125	9	;	;	PUNCT
fis-1243	125	10	usually	usually	ADV
fis-1243	125	11	,	,	PUNCT
fis-1243	125	12	2	2	NUM
fis-1243	125	13	3c	3c	NUM
fis-1243	125	14			NOUN
fis-1243	125	15	:	:	PUNCT
fis-1243	125	16	in	in	ADP
fis-1243	125	17	that	that	DET
fis-1243	125	18	case	case	NOUN
fis-1243	125	19	,	,	PUNCT
fis-1243	125	20	0y	0y	PRON
fis-1243	125	21	can	can	AUX
fis-1243	125	22	be	be	AUX
fis-1243	125	23	interpreted	interpret	VERB
fis-1243	125	24	as	as	ADP
fis-1243	125	25	the	the	DET
fis-1243	125	26	initial	initial	ADJ
fis-1243	125	27	yield	yield	NOUN
fis-1243	125	28	limit	limit	NOUN
fis-1243	125	29	in	in	ADP
fis-1243	125	30	tension	tension	NOUN
fis-1243	125	31	if	if	SCONJ
fis-1243	125	32			NOUN
fis-1243	125	33	0	0	NOUN
fis-1243	125	34	1	1	NUM
fis-1243	125	35	g	g	NOUN
fis-1243	125	36			NOUN
fis-1243	125	37	,	,	PUNCT
fis-1243	125	38	or	or	CCONJ
fis-1243	125	39	in	in	ADP
fis-1243	125	40	compression	compression	NOUN
fis-1243	125	41	if	if	SCONJ
fis-1243	125	42			NOUN
fis-1243	125	43	3	3	VERB
fis-1243	125	44	1	1	NUM
fis-1243	125	45	g	g	NOUN
fis-1243	125	46			PROPN
fis-1243	125	47			PROPN
fis-1243	125	48	.	.	PUNCT
fis-1243	126	1	according	accord	VERB
fis-1243	126	2	to	to	ADP
fis-1243	126	3	(	(	PUNCT
fis-1243	126	4	14	14	NUM
fis-1243	126	5	)	)	PUNCT
fis-1243	126	6	,	,	PUNCT
fis-1243	126	7	the	the	DET
fis-1243	126	8	dissipation	dissipation	NOUN
fis-1243	126	9	function	function	NOUN
fis-1243	126	10	is	be	AUX
fis-1243	126	11	given	give	VERB
fis-1243	126	12	by	by	ADP
fis-1243	126	13			NOUN
fis-1243	126	14			PUNCT
fis-1243	126	15			PROPN
fis-1243	127	1			PROPN
fis-1243	127	2			NOUN
fis-1243	127	3			SYM
fis-1243	127	4			NOUN
fis-1243	127	5			NOUN
fis-1243	127	6	p	p	VERB
fis-1243	127	7	p	p	NOUN
fis-1243	127	8	p	p	NOUN
fis-1243	127	9	ˆ	ˆ	ADV
fis-1243	127	10	ˆ	ˆ	NOUN
fis-1243	127	11	ˆ	ˆ	NOUN
fis-1243	127	12	ˆ	ˆ	NOUN
fis-1243	127	13	ˆ	ˆ	ADP
fis-1243	127	14	y0	y0	PROPN
fis-1243	127	15	p	p	NOUN
fis-1243	127	16	ˆ	ˆ	ADJ
fis-1243	127	17	ˆ	ˆ	NOUN
fis-1243	127	18	ˆ	ˆ	ADV
fis-1243	127	19	,	,	PUNCT
fis-1243	127	20	,	,	PUNCT
fis-1243	127	21	sup	sup	PROPN
fis-1243	127	22	cos	cos	PROPN
fis-1243	127	23	g	g	PROPN
fis-1243	127	24	c	c	PROPN
fis-1243	127	25	d	d	PROPN
fis-1243	127	26			X
fis-1243	127	27			X
fis-1243	127	28			PROPN
fis-1243	127	29			ADP
fis-1243	127	30			X
fis-1243	127	31			X
fis-1243	127	32			NOUN
fis-1243	127	33			X
fis-1243	127	34			X
fis-1243	127	35			ADP
fis-1243	127	36			PROPN
fis-1243	127	37			PROPN
fis-1243	127	38			PROPN
fis-1243	127	39			X
fis-1243	127	40			ADJ
fis-1243	127	41			NOUN
fis-1243	127	42			NOUN
fis-1243	128	1			NUM
fis-1243	128	2			ADV
fis-1243	128	3			PROPN
fis-1243	128	4	σ	σ	PROPN
fis-1243	128	5	σ	σ	PROPN
fis-1243	128	6	σ	σ	PROPN
fis-1243	128	7	σ	σ	PROPN
fis-1243	128	8	σ	σ	PROPN
fis-1243	128	9	σ	σ	PROPN
fis-1243	128	10	σ	σ	PROPN
fis-1243	128	11	σε	σε	PROPN
fis-1243	128	12	ε	ε	PROPN
fis-1243	128	13	ε	ε	PROPN
fis-1243	128	14	ε	ε	PROPN
fis-1243	128	15	(	(	PUNCT
fis-1243	128	16	15	15	NUM
fis-1243	128	17	)	)	PUNCT
fis-1243	128	18	this	this	PRON
fis-1243	128	19	implies	imply	VERB
fis-1243	128	20	:	:	PUNCT
fis-1243	128	21			NOUN
fis-1243	128	22			PROPN
fis-1243	128	23			NOUN
fis-1243	128	24	p	p	VERB
fis-1243	128	25	p	p	NOUN
fis-1243	128	26	p	p	NOUN
fis-1243	128	27	0	0	NUM
fis-1243	128	28	p	p	NOUN
fis-1243	128	29	y0	y0	PROPN
fis-1243	128	30	,	,	PUNCT
fis-1243	128	31	d	d	PROPN
fis-1243	128	32	c	c	PROPN
fis-1243	128	33	d	d	PROPN
fis-1243	128	34			X
fis-1243	128	35			X
fis-1243	128	36			PROPN
fis-1243	128	37			PROPN
fis-1243	128	38			X
fis-1243	128	39			X
fis-1243	129	1			NUM
fis-1243	129	2			NOUN
fis-1243	129	3			ADJ
fis-1243	129	4	ε	ε	PROPN
fis-1243	129	5	ε	ε	PROPN
fis-1243	129	6	ε	ε	PROPN
fis-1243	129	7	ε	ε	PROPN
fis-1243	129	8			X
fis-1243	129	9	(	(	PUNCT
fis-1243	129	10	16	16	NUM
fis-1243	129	11	)	)	PUNCT
fis-1243	129	12	where	where	SCONJ
fis-1243	129	13			NOUN
fis-1243	129	14			SYM
fis-1243	129	15			NOUN
fis-1243	129	16			SYM
fis-1243	129	17			NOUN
fis-1243	129	18			ADJ
fis-1243	129	19	p	p	PROPN
fis-1243	129	20	p	p	NOUN
fis-1243	129	21	ˆ	ˆ	ADV
fis-1243	129	22	ˆ	ˆ	NOUN
fis-1243	129	23	ˆ	ˆ	NOUN
fis-1243	129	24	ˆ	ˆ	NOUN
fis-1243	129	25	ˆ	ˆ	NOUN
fis-1243	129	26	ˆ	ˆ	ADV
fis-1243	129	27	{	{	PUNCT
fis-1243	129	28	,	,	PUNCT
fis-1243	129	29	}	}	SYM
fis-1243	129	30	1	1	NUM
fis-1243	129	31	sup	sup	NOUN
fis-1243	129	32	cos	cos	PROPN
fis-1243	129	33	g	g	PROPN
fis-1243	129	34	d	d	PROPN
fis-1243	129	35			ADP
fis-1243	129	36			PROPN
fis-1243	129	37			ADP
fis-1243	129	38			PROPN
fis-1243	129	39			PROPN
fis-1243	129	40			PROPN
fis-1243	129	41			PROPN
fis-1243	129	42			PROPN
fis-1243	129	43			PROPN
fis-1243	129	44			PUNCT
fis-1243	130	1			NUM
fis-1243	130	2			NUM
fis-1243	130	3			PROPN
fis-1243	130	4	σ	σ	PROPN
fis-1243	130	5	σ	σ	PROPN
fis-1243	130	6	σ	σ	PROPN
fis-1243	130	7	σ	σ	PROPN
fis-1243	130	8	σ	σ	PROPN
fis-1243	130	9	σε	σε	PROPN
fis-1243	130	10	ε	ε	PROPN
fis-1243	130	11			X
fis-1243	130	12	(	(	PUNCT
fis-1243	130	13	17	17	NUM
fis-1243	130	14	)	)	PUNCT
fis-1243	130	15	or	or	CCONJ
fis-1243	130	16	,	,	PUNCT
fis-1243	130	17	equivalently	equivalently	ADV
fis-1243	130	18	,	,	PUNCT
fis-1243	130	19			NOUN
fis-1243	130	20			PUNCT
fis-1243	130	21			PROPN
fis-1243	131	1			PROPN
fis-1243	131	2			NOUN
fis-1243	131	3			SYM
fis-1243	131	4			NOUN
fis-1243	132	1			PUNCT
fis-1243	132	2	p	p	X
fis-1243	132	3	p	p	NOUN
fis-1243	132	4	ˆ	ˆ	ADJ
fis-1243	132	5	ˆ	ˆ	ADV
fis-1243	132	6	ˆ	ˆ	NOUN
fis-1243	132	7	cos	cos	ADP
fis-1243	132	8	supd	supd	NOUN
fis-1243	132	9	g	g	NOUN
fis-1243	132	10			X
fis-1243	132	11			X
fis-1243	132	12			PROPN
fis-1243	132	13			PROPN
fis-1243	132	14			PROPN
fis-1243	132	15			PUNCT
fis-1243	132	16			ADP
fis-1243	132	17			PROPN
fis-1243	132	18			PROPN
fis-1243	132	19			NUM
fis-1243	132	20			NOUN
fis-1243	132	21			NUM
fis-1243	132	22			PROPN
fis-1243	132	23	σ	σ	PROPN
fis-1243	132	24	σ	σ	PROPN
fis-1243	132	25	ε	ε	PROPN
fis-1243	132	26	ε	ε	PROPN
fis-1243	132	27	σ	σ	PROPN
fis-1243	132	28			NOUN
fis-1243	132	29	(	(	PUNCT
fis-1243	132	30	18	18	NUM
fis-1243	132	31	)	)	PUNCT
fis-1243	132	32	it	it	PRON
fis-1243	132	33	is	be	AUX
fis-1243	132	34	worth	worth	ADJ
fis-1243	132	35	noting	note	VERB
fis-1243	132	36	that	that	SCONJ
fis-1243	132	37	d	d	PROPN
fis-1243	132	38	is	be	AUX
fis-1243	132	39	the	the	DET
fis-1243	132	40	support	support	NOUN
fis-1243	132	41	function	function	NOUN
fis-1243	132	42	of	of	ADP
fis-1243	132	43	the	the	DET
fis-1243	132	44	convex	convex	NOUN
fis-1243	132	45	set	set	NOUN
fis-1243	132	46	of	of	ADP
fis-1243	132	47	polar	polar	ADJ
fis-1243	132	48	coordinates	coordinate	NOUN
fis-1243	132	49			NOUN
fis-1243	133	1			SYM
fis-1243	133	2			NOUN
fis-1243	133	3			ADJ
fis-1243	133	4	ˆ	ˆ	NOUN
fis-1243	133	5	ˆ	ˆ	ADV
fis-1243	133	6	ˆ	ˆ	NOUN
fis-1243	133	7	ˆ	ˆ	ADJ
fis-1243	133	8	,	,	PUNCT
fis-1243	133	9	:	:	PUNCT
fis-1243	133	10	1g	1g	NUM
fis-1243	133	11			X
fis-1243	133	12			ADP
fis-1243	133	13			PROPN
fis-1243	133	14	σ	σ	PROPN
fis-1243	133	15	σ	σ	PROPN
fis-1243	133	16	σ	σ	PROPN
fis-1243	133	17	σ	σ	PROPN
fis-1243	133	18	.	.	PUNCT
fis-1243	134	1	because	because	SCONJ
fis-1243	134	2	the	the	DET
fis-1243	134	3	supremum	supremum	NOUN
fis-1243	134	4	is	be	AUX
fis-1243	134	5	attained	attain	VERB
fis-1243	134	6	on	on	ADP
fis-1243	134	7	the	the	DET
fis-1243	134	8	boundary	boundary	NOUN
fis-1243	134	9	of	of	ADP
fis-1243	134	10	that	that	DET
fis-1243	134	11	set	set	NOUN
fis-1243	134	12	,	,	PUNCT
fis-1243	134	13	a	a	DET
fis-1243	134	14	simple	simple	ADJ
fis-1243	134	15	computation	computation	NOUN
fis-1243	134	16	yields	yield	VERB
fis-1243	134	17			NOUN
fis-1243	134	18			SYM
fis-1243	134	19			NOUN
fis-1243	134	20			SYM
fis-1243	134	21			NOUN
fis-1243	134	22			SYM
fis-1243	134	23			NOUN
fis-1243	134	24	p	p	VERB
fis-1243	134	25	pˆ	pˆ	VERB
fis-1243	134	26	ˆ	ˆ	PROPN
fis-1243	134	27	ˆ	ˆ	ADJ
fis-1243	134	28	ˆsin	ˆsin	NOUN
fis-1243	134	29	cos	cos	PROPN
fis-1243	134	30	0	0	PROPN
fis-1243	134	31	g	g	PROPN
fis-1243	134	32	g	g	X
fis-1243	134	33			X
fis-1243	134	34			X
fis-1243	134	35			PROPN
fis-1243	134	36			PROPN
fis-1243	134	37			PROPN
fis-1243	134	38			X
fis-1243	134	39			PUNCT
fis-1243	134	40			PROPN
fis-1243	134	41			PUNCT
fis-1243	134	42			PROPN
fis-1243	134	43	σ	σ	PROPN
fis-1243	134	44	σ	σ	PROPN
fis-1243	134	45	σ	σ	PROPN
fis-1243	134	46	σε	σε	PROPN
fis-1243	134	47	ε	ε	PROPN
fis-1243	134	48	(	(	PUNCT
fis-1243	134	49	19	19	NUM
fis-1243	134	50	)	)	PUNCT
fis-1243	134	51	which	which	PRON
fis-1243	134	52	can	can	AUX
fis-1243	134	53	be	be	AUX
fis-1243	134	54	recast	recast	VERB
fis-1243	134	55	as	as	ADP
fis-1243	134	56	:	:	PUNCT
fis-1243	134	57	n.a	n.a	PROPN
fis-1243	134	58	.	.	PROPN
fis-1243	134	59	nodargi	nodargi	PROPN
fis-1243	134	60	et	et	PROPN
fis-1243	134	61	alii	alii	PROPN
fis-1243	134	62	,	,	PUNCT
fis-1243	134	63	frattura	frattura	PROPN
fis-1243	134	64	ed	ed	PROPN
fis-1243	134	65	integrità	integrità	PROPN
fis-1243	134	66	strutturale	strutturale	PROPN
fis-1243	134	67	,	,	PUNCT
fis-1243	134	68	29	29	NUM
fis-1243	134	69	(	(	PUNCT
fis-1243	134	70	2014	2014	NUM
fis-1243	134	71	)	)	PUNCT
fis-1243	134	72	111	111	NUM
fis-1243	134	73	-	-	SYM
fis-1243	134	74	127	127	NUM
fis-1243	134	75	;	;	PUNCT
fis-1243	134	76	doi	doi	NOUN
fis-1243	134	77	:	:	PUNCT
fis-1243	134	78	10.3221	10.3221	NUM
fis-1243	134	79	/	/	SYM
fis-1243	134	80	igf	igf	PROPN
fis-1243	134	81	-	-	PUNCT
fis-1243	134	82	esis.29.11	esis.29.11	PROPN
fis-1243	134	83	115	115	NUM
fis-1243	134	84			NOUN
fis-1243	134	85			PUNCT
fis-1243	134	86			NOUN
fis-1243	135	1			PUNCT
fis-1243	135	2	p	p	NOUN
fis-1243	135	3	ˆ	ˆ	ADJ
fis-1243	135	4	ˆ	ˆ	ADV
fis-1243	135	5	ˆ	ˆ	ADV
fis-1243	135	6	arctan	arctan	PROPN
fis-1243	135	7	g	g	PROPN
fis-1243	135	8	g	g	PROPN
fis-1243	135	9			PROPN
fis-1243	135	10			X
fis-1243	135	11			PROPN
fis-1243	135	12			PROPN
fis-1243	135	13			PROPN
fis-1243	136	1			PROPN
fis-1243	136	2			PROPN
fis-1243	136	3	σ	σ	NOUN
fis-1243	136	4	σ	σ	PROPN
fis-1243	136	5	ε	ε	PROPN
fis-1243	136	6	σ	σ	PROPN
fis-1243	136	7	(	(	PUNCT
fis-1243	136	8	20	20	NUM
fis-1243	136	9	)	)	PUNCT
fis-1243	136	10	this	this	PRON
fis-1243	136	11	is	be	AUX
fis-1243	136	12	a	a	DET
fis-1243	136	13	scalar	scalar	ADJ
fis-1243	136	14	equation	equation	NOUN
fis-1243	136	15	in	in	ADP
fis-1243	136	16	the	the	DET
fis-1243	136	17	unknown	unknown	ADJ
fis-1243	136	18			ADJ
fis-1243	136	19	ˆ	ˆ	NOUN
fis-1243	136	20	0	0	NUM
fis-1243	136	21	,	,	PUNCT
fis-1243	136	22	3	3	NUM
fis-1243	136	23	σ	σ	ADP
fis-1243	136	24	,	,	PUNCT
fis-1243	136	25	which	which	PRON
fis-1243	136	26	implicitly	implicitly	ADV
fis-1243	136	27	defines	define	VERB
fis-1243	136	28	a	a	DET
fis-1243	136	29	function	function	NOUN
fis-1243	136	30			NOUN
fis-1243	136	31	pˆ	pˆ	PUNCT
fis-1243	137	1			NOUN
fis-1243	137	2	σ	σ	PROPN
fis-1243	137	3	ε	ε	PROPN
fis-1243	137	4	.	.	PUNCT
fis-1243	138	1	by	by	ADP
fis-1243	138	2	applying	apply	VERB
fis-1243	138	3	dini	dini	NOUN
fis-1243	138	4	’s	’s	PART
fis-1243	138	5	theorem	theorem	NOUN
fis-1243	138	6	,	,	PUNCT
fis-1243	138	7	its	its	PRON
fis-1243	138	8	first	first	ADJ
fis-1243	138	9	derivative	derivative	NOUN
fis-1243	138	10	turns	turn	VERB
fis-1243	138	11	out	out	ADP
fis-1243	138	12	to	to	PART
fis-1243	138	13	be	be	AUX
fis-1243	138	14	:	:	PUNCT
fis-1243	138	15			NOUN
fis-1243	138	16	p	p	VERB
fis-1243	138	17	2	2	NUM
fis-1243	138	18	2	2	NUM
fis-1243	138	19	ˆd	ˆd	NOUN
fis-1243	138	20	d	d	NOUN
fis-1243	138	21	g	g	NOUN
fis-1243	138	22	g	g	PROPN
fis-1243	138	23	g	g	PROPN
fis-1243	138	24	g	g	PROPN
fis-1243	138	25	g	g	PROPN
fis-1243	138	26			PROPN
fis-1243	138	27			PROPN
fis-1243	138	28			PROPN
fis-1243	138	29			PROPN
fis-1243	139	1			PROPN
fis-1243	139	2			VERB
fis-1243	139	3	σ	σ	PROPN
fis-1243	139	4	ε	ε	PROPN
fis-1243	139	5	(	(	PUNCT
fis-1243	139	6	21	21	NUM
fis-1243	139	7	)	)	PUNCT
fis-1243	139	8	where	where	SCONJ
fis-1243	139	9	g	g	PROPN
fis-1243	139	10	and	and	CCONJ
fis-1243	139	11	its	its	PRON
fis-1243	139	12	derivatives	derivative	NOUN
fis-1243	139	13	are	be	AUX
fis-1243	139	14	computed	compute	VERB
fis-1243	139	15	at	at	ADP
fis-1243	139	16			NOUN
fis-1243	139	17	pˆ	pˆ	PUNCT
fis-1243	140	1			NOUN
fis-1243	140	2	σ	σ	PROPN
fis-1243	140	3	ε	ε	PROPN
fis-1243	140	4	.	.	PUNCT
fis-1243	141	1	noting	note	VERB
fis-1243	141	2	that	that	SCONJ
fis-1243	141	3	pˆ	pˆ	PROPN
fis-1243	141	4			PROPN
fis-1243	141	5			PROPN
fis-1243	141	6	σ	σ	PROPN
fis-1243	141	7	ε	ε	PROPN
fis-1243	141	8	can	can	AUX
fis-1243	141	9	be	be	AUX
fis-1243	141	10	assumed	assume	VERB
fis-1243	141	11	to	to	PART
fis-1243	141	12	belong	belong	VERB
fis-1243	141	13	to	to	ADP
fis-1243	141	14			ADJ
fis-1243	141	15	3	3	NOUN
fis-1243	141	16	,	,	PUNCT
fis-1243	141	17	3	3	PROPN
fis-1243	141	18			ADV
fis-1243	141	19	,	,	PUNCT
fis-1243	141	20	by	by	ADP
fis-1243	141	21	(	(	PUNCT
fis-1243	141	22	20	20	NUM
fis-1243	141	23	)	)	PUNCT
fis-1243	141	24	it	it	PRON
fis-1243	141	25	follows	follow	VERB
fis-1243	141	26	that	that	SCONJ
fis-1243	141	27			NOUN
fis-1243	141	28			SYM
fis-1243	141	29			NOUN
fis-1243	141	30	p	p	VERB
fis-1243	141	31	pˆ	pˆ	ADP
fis-1243	141	32	ˆ2	ˆ2	PROPN
fis-1243	141	33	2	2	NUM
fis-1243	141	34	2	2	NUM
fis-1243	141	35	2	2	NUM
fis-1243	141	36	cos	cos	X
fis-1243	141	37	,	,	PUNCT
fis-1243	141	38	sin	sin	VERB
fis-1243	141	39	g	g	PROPN
fis-1243	141	40	g	g	PROPN
fis-1243	141	41	g	g	PROPN
fis-1243	141	42	g	g	PROPN
fis-1243	141	43	g	g	PROPN
fis-1243	141	44	g	g	PROPN
fis-1243	141	45			PROPN
fis-1243	141	46			X
fis-1243	141	47			PROPN
fis-1243	141	48			PROPN
fis-1243	141	49			X
fis-1243	141	50			PUNCT
fis-1243	141	51			VERB
fis-1243	141	52			NOUN
fis-1243	141	53			PROPN
fis-1243	141	54			NOUN
fis-1243	141	55			PROPN
fis-1243	141	56			ADJ
fis-1243	141	57			PUNCT
fis-1243	141	58			PROPN
fis-1243	141	59	σ	σ	PROPN
fis-1243	141	60	σε	σε	PROPN
fis-1243	141	61	ε	ε	PROPN
fis-1243	141	62	(	(	PUNCT
fis-1243	141	63	22	22	NUM
fis-1243	141	64	)	)	PUNCT
fis-1243	141	65	whence	whence	NOUN
fis-1243	141	66	,	,	PUNCT
fis-1243	141	67	recalling	recall	VERB
fis-1243	141	68	(	(	PUNCT
fis-1243	141	69	18	18	NUM
fis-1243	141	70	)	)	PUNCT
fis-1243	141	71	and	and	CCONJ
fis-1243	141	72	(	(	PUNCT
fis-1243	141	73	21	21	NUM
fis-1243	141	74	)	)	PUNCT
fis-1243	141	75	,	,	PUNCT
fis-1243	141	76	p	p	X
fis-1243	141	77	(	(	PUNCT
fis-1243	141	78	)	)	PUNCT
fis-1243	141	79	d	d	NOUN
fis-1243	141	80			X
fis-1243	141	81			NOUN
fis-1243	141	82			NOUN
fis-1243	141	83			PUNCT
fis-1243	141	84	and	and	CCONJ
fis-1243	141	85	its	its	PRON
fis-1243	141	86	first	first	ADJ
fis-1243	141	87	and	and	CCONJ
fis-1243	141	88	second	second	ADJ
fis-1243	141	89	derivatives	derivative	NOUN
fis-1243	141	90	with	with	ADP
fis-1243	141	91	respect	respect	NOUN
fis-1243	141	92	to	to	ADP
fis-1243	141	93	p	p	PROPN
fis-1243	141	94			PROPN
fis-1243	141	95	easily	easily	ADV
fis-1243	141	96	follow	follow	VERB
fis-1243	141	97	:	:	PUNCT
fis-1243	141	98			NOUN
fis-1243	141	99			SYM
fis-1243	141	100			NOUN
fis-1243	141	101			SYM
fis-1243	141	102			NOUN
fis-1243	141	103			PUNCT
fis-1243	141	104			NOUN
fis-1243	141	105			PUNCT
fis-1243	141	106	p	p	NOUN
fis-1243	142	1	p	p	X
fis-1243	142	2	p	p	PROPN
fis-1243	142	3	4	4	NUM
fis-1243	142	4	2	2	NUM
fis-1243	142	5	2	2	NUM
fis-1243	142	6	3	3	NUM
fis-1243	142	7	2	2	NUM
fis-1243	142	8	2	2	NUM
fis-1243	142	9	2	2	NUM
fis-1243	142	10	2	2	NUM
fis-1243	142	11	3	3	NUM
fis-1243	142	12	2	2	NUM
fis-1243	142	13	2	2	NUM
fis-1243	142	14	21	21	NUM
fis-1243	142	15	,	,	PUNCT
fis-1243	142	16	,	,	PUNCT
fis-1243	142	17	g	g	PROPN
fis-1243	142	18	g	g	PROPN
fis-1243	142	19	g	g	PROPN
fis-1243	142	20	g	g	PROPN
fis-1243	142	21	g	g	PROPN
fis-1243	142	22	g	g	PROPN
fis-1243	143	1	d	d	PROPN
fis-1243	143	2	d	d	PROPN
fis-1243	143	3	d	d	X
fis-1243	143	4	g	g	NOUN
fis-1243	143	5	g	g	PROPN
fis-1243	143	6	g	g	PROPN
fis-1243	143	7	g	g	PROPN
fis-1243	143	8	g	g	PROPN
fis-1243	143	9	g	g	PROPN
fis-1243	143	10	g	g	PROPN
fis-1243	143	11	g	g	PROPN
fis-1243	143	12	g	g	PROPN
fis-1243	143	13	g	g	PROPN
fis-1243	143	14			PROPN
fis-1243	143	15			X
fis-1243	143	16			PROPN
fis-1243	143	17			PROPN
fis-1243	143	18			X
fis-1243	143	19			X
fis-1243	144	1			CCONJ
fis-1243	144	2			ADP
fis-1243	144	3			ADP
fis-1243	144	4			ADJ
fis-1243	144	5			PUNCT
fis-1243	144	6			PROPN
fis-1243	144	7			PROPN
fis-1243	144	8			NUM
fis-1243	144	9			PROPN
fis-1243	144	10			PROPN
fis-1243	144	11			ADV
fis-1243	144	12			PROPN
fis-1243	144	13			VERB
fis-1243	144	14			ADV
fis-1243	144	15			PUNCT
fis-1243	144	16	ε	ε	PROPN
fis-1243	144	17	ε	ε	PROPN
fis-1243	144	18	ε	ε	PROPN
fis-1243	144	19			PROPN
fis-1243	144	20			PROPN
fis-1243	144	21			NOUN
fis-1243	144	22	(	(	PUNCT
fis-1243	144	23	23	23	NUM
fis-1243	144	24	)	)	PUNCT
fis-1243	144	25	where	where	SCONJ
fis-1243	144	26	the	the	DET
fis-1243	144	27	derivatives	derivative	NOUN
fis-1243	144	28	on	on	ADP
fis-1243	144	29	the	the	DET
fis-1243	144	30	right	right	ADJ
fis-1243	144	31	-	-	PUNCT
fis-1243	144	32	hand	hand	NOUN
fis-1243	144	33	sides	side	NOUN
fis-1243	144	34	of	of	ADP
fis-1243	144	35	(	(	PUNCT
fis-1243	144	36	23	23	NUM
fis-1243	144	37	)	)	PUNCT
fis-1243	144	38	are	be	AUX
fis-1243	144	39	performed	perform	VERB
fis-1243	144	40	with	with	ADP
fis-1243	144	41	respect	respect	NOUN
fis-1243	144	42	to	to	ADP
fis-1243	144	43	ˆσ	ˆσ	NOUN
fis-1243	144	44	and	and	CCONJ
fis-1243	144	45	computed	compute	VERB
fis-1243	144	46	at	at	ADP
fis-1243	144	47			NOUN
fis-1243	144	48	pˆ	pˆ	PUNCT
fis-1243	145	1			NOUN
fis-1243	145	2	σ	σ	PROPN
fis-1243	145	3	ε	ε	PROPN
fis-1243	145	4	.	.	PUNCT
fis-1243	146	1	finally	finally	ADV
fis-1243	146	2	the	the	DET
fis-1243	146	3	gradient	gradient	NOUN
fis-1243	146	4	and	and	CCONJ
fis-1243	146	5	the	the	DET
fis-1243	146	6	hessian	hessian	NOUN
fis-1243	146	7	of	of	ADP
fis-1243	146	8			PROPN
fis-1243	146	9	pd	pd	PROPN
fis-1243	146	10	ε	ε	PROPN
fis-1243	146	11	are	be	AUX
fis-1243	146	12	straightforwardly	straightforwardly	ADV
fis-1243	146	13	obtained	obtain	VERB
fis-1243	146	14	from	from	ADP
fis-1243	146	15	(	(	PUNCT
fis-1243	146	16	16	16	NUM
fis-1243	146	17	):	):	PUNCT
fis-1243	146	18			NOUN
fis-1243	146	19			PROPN
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fis-1243	148	1	p	p	X
fis-1243	148	2	p	p	NOUN
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fis-1243	149	1	p	p	NOUN
fis-1243	149	2	p	p	X
fis-1243	150	1	p	p	X
fis-1243	150	2	p	p	PROPN
fis-1243	150	3	p	p	PROPN
fis-1243	150	4	p	p	PROPN
fis-1243	150	5	p	p	PROPN
fis-1243	150	6	p	p	X
fis-1243	150	7	p	p	X
fis-1243	150	8	p	p	NOUN
fis-1243	150	9	0	0	NUM
fis-1243	151	1	y	y	PROPN
fis-1243	151	2	y	y	PROPN
fis-1243	151	3	d	d	NOUN
fis-1243	151	4	c	c	PROPN
fis-1243	152	1	d	d	X
fis-1243	152	2	d	d	PROPN
fis-1243	152	3	d	d	X
fis-1243	152	4	c	c	NOUN
fis-1243	153	1	d	d	X
fis-1243	153	2	d	d	X
fis-1243	153	3	d	d	X
fis-1243	153	4	d	d	X
fis-1243	153	5			PROPN
fis-1243	153	6			NOUN
fis-1243	153	7			ADP
fis-1243	153	8			PROPN
fis-1243	153	9			PROPN
fis-1243	153	10			X
fis-1243	153	11			ADP
fis-1243	153	12			PROPN
fis-1243	153	13			PROPN
fis-1243	153	14			ADP
fis-1243	153	15			ADP
fis-1243	153	16			PROPN
fis-1243	153	17			PROPN
fis-1243	153	18			PROPN
fis-1243	153	19			PROPN
fis-1243	153	20			PROPN
fis-1243	153	21			X
fis-1243	153	22			X
fis-1243	153	23			X
fis-1243	153	24			X
fis-1243	153	25			X
fis-1243	153	26			X
fis-1243	153	27			X
fis-1243	153	28			X
fis-1243	153	29			X
fis-1243	153	30			X
fis-1243	153	31			X
fis-1243	153	32			X
fis-1243	153	33			NOUN
fis-1243	153	34			NOUN
fis-1243	153	35			PROPN
fis-1243	153	36			NOUN
fis-1243	153	37			PUNCT
fis-1243	153	38			PRON
fis-1243	153	39			PROPN
fis-1243	153	40			PROPN
fis-1243	153	41			PROPN
fis-1243	153	42			PROPN
fis-1243	153	43			NOUN
fis-1243	153	44			ADJ
fis-1243	153	45			NOUN
fis-1243	153	46			PUNCT
fis-1243	153	47			PROPN
fis-1243	153	48			NUM
fis-1243	153	49			NOUN
fis-1243	153	50			NUM
fis-1243	153	51			PUNCT
fis-1243	153	52			PROPN
fis-1243	153	53			ADJ
fis-1243	153	54			PUNCT
fis-1243	153	55			VERB
fis-1243	153	56			PROPN
fis-1243	153	57	ε	ε	PROPN
fis-1243	153	58	ε	ε	PROPN
fis-1243	153	59	ε	ε	PROPN
fis-1243	153	60	ε	ε	PROPN
fis-1243	153	61	ε	ε	PROPN
fis-1243	153	62	ε	ε	PROPN
fis-1243	153	63	ε	ε	PROPN
fis-1243	153	64	ε	ε	PROPN
fis-1243	153	65	ε	ε	PROPN
fis-1243	153	66	ε	ε	PROPN
fis-1243	153	67	ε	ε	PROPN
fis-1243	153	68	ε	ε	PROPN
fis-1243	153	69			PROPN
fis-1243	153	70			PROPN
fis-1243	153	71			PROPN
fis-1243	153	72			PROPN
fis-1243	153	73			PROPN
fis-1243	153	74			NOUN
fis-1243	153	75			PUNCT
fis-1243	153	76	(	(	PUNCT
fis-1243	153	77	24	24	NUM
fis-1243	153	78	)	)	PUNCT
fis-1243	153	79	simple	simple	ADJ
fis-1243	153	80	expressions	expression	NOUN
fis-1243	153	81	for	for	ADP
fis-1243	153	82	the	the	DET
fis-1243	153	83	gradient	gradient	NOUN
fis-1243	153	84	and	and	CCONJ
fis-1243	153	85	the	the	DET
fis-1243	153	86	hessian	hessian	NOUN
fis-1243	153	87	of	of	ADP
fis-1243	153	88	p	p	PROPN
fis-1243	153	89	ε	ε	PROPN
fis-1243	153	90	and	and	CCONJ
fis-1243	153	91	p	p	PROPN
fis-1243	153	92			PROPN
fis-1243	153	93	are	be	AUX
fis-1243	153	94	given	give	VERB
fis-1243	153	95	in	in	ADP
fis-1243	153	96	appendix	appendix	ADJ
fis-1243	153	97	a.	a.	NOUN
fis-1243	153	98	the	the	DET
fis-1243	153	99	same	same	ADJ
fis-1243	153	100	argument	argument	NOUN
fis-1243	153	101	holds	hold	VERB
fis-1243	153	102	if	if	SCONJ
fis-1243	153	103	kinematic	kinematic	ADJ
fis-1243	153	104	hardening	hardening	NOUN
fis-1243	153	105	is	be	AUX
fis-1243	153	106	present	present	ADJ
fis-1243	153	107	.	.	PUNCT
fis-1243	154	1	deviatoric	deviatoric	ADJ
fis-1243	154	2	yield	yield	NOUN
fis-1243	154	3	function	function	NOUN
fis-1243	154	4	,	,	PUNCT
fis-1243	154	5	isotropic	isotropic	NOUN
fis-1243	154	6	hardening	harden	VERB
fis-1243	154	7	the	the	DET
fis-1243	154	8	yield	yield	NOUN
fis-1243	154	9	function	function	NOUN
fis-1243	154	10	is	be	AUX
fis-1243	154	11	assumed	assume	VERB
fis-1243	154	12	to	to	PART
fis-1243	154	13	be	be	AUX
fis-1243	154	14			NOUN
fis-1243	154	15			PUNCT
fis-1243	154	16			NOUN
fis-1243	154	17			SYM
fis-1243	154	18			NOUN
fis-1243	154	19			PROPN
fis-1243	154	20	0ˆ	0ˆ	ADJ
fis-1243	154	21	ˆ	ˆ	VERB
fis-1243	154	22	ˆ	ˆ	ADV
fis-1243	154	23	ˆ	ˆ	ADV
fis-1243	155	1	ˆi	ˆi	X
fis-1243	155	2	y	y	PROPN
fis-1243	155	3	i	i	PROPN
fis-1243	155	4	,	,	PUNCT
fis-1243	155	5	,	,	PUNCT
fis-1243	155	6	,	,	PUNCT
fis-1243	155	7	f	f	PROPN
fis-1243	155	8	q	q	X
fis-1243	155	9	g	g	PROPN
fis-1243	155	10	c	c	NOUN
fis-1243	155	11	q	q	X
fis-1243	155	12			ADP
fis-1243	155	13			PROPN
fis-1243	155	14			PROPN
fis-1243	155	15			PROPN
fis-1243	155	16			PROPN
fis-1243	155	17			PROPN
fis-1243	155	18	σ	σ	PROPN
fis-1243	155	19	σ	σ	PROPN
fis-1243	155	20	σ	σ	PROPN
fis-1243	155	21	σ	σ	PROPN
fis-1243	155	22	σ	σ	PROPN
fis-1243	155	23	(	(	PUNCT
fis-1243	155	24	25	25	NUM
fis-1243	155	25	)	)	PUNCT
fis-1243	155	26	whence	whence	ADP
fis-1243	155	27	the	the	DET
fis-1243	155	28	dissipation	dissipation	NOUN
fis-1243	155	29	function	function	NOUN
fis-1243	155	30	follows	follow	VERB
fis-1243	155	31	:	:	PUNCT
fis-1243	155	32			NOUN
fis-1243	155	33			PUNCT
fis-1243	155	34			PROPN
fis-1243	156	1			PROPN
fis-1243	156	2			NOUN
fis-1243	156	3			SYM
fis-1243	156	4			NOUN
fis-1243	156	5			SYM
fis-1243	156	6			NOUN
fis-1243	156	7			NOUN
fis-1243	156	8	p	p	VERB
fis-1243	156	9	p	p	NOUN
fis-1243	156	10	p	p	NOUN
fis-1243	156	11	ˆ	ˆ	ADJ
fis-1243	156	12	ˆ	ˆ	ADV
fis-1243	156	13	ˆ	ˆ	ADV
fis-1243	157	1	i	i	PRON
fis-1243	157	2	ˆ	ˆ	ADV
fis-1243	157	3	ˆ	ˆ	ADV
fis-1243	157	4	y	y	PROPN
fis-1243	157	5	i0	i0	PROPN
fis-1243	157	6	p	p	PROPN
fis-1243	157	7	ˆ	ˆ	ADV
fis-1243	157	8	ˆ	ˆ	ADV
fis-1243	158	1	ˆi	ˆi	X
fis-1243	159	1	i	i	PRON
fis-1243	159	2	i	i	PRON
fis-1243	159	3	,	,	PUNCT
fis-1243	159	4	,	,	PUNCT
fis-1243	159	5	,	,	PUNCT
fis-1243	159	6	,	,	PUNCT
fis-1243	159	7	sup	sup	PROPN
fis-1243	159	8	cos	cos	PROPN
fis-1243	159	9	q	q	PROPN
fis-1243	159	10	g	g	PROPN
fis-1243	159	11	c	c	PROPN
fis-1243	159	12	q	q	PROPN
fis-1243	159	13	qd	qd	PROPN
fis-1243	160	1	σ	σ	PROPN
fis-1243	160	2	σ	σ	PROPN
fis-1243	160	3	σ	σ	PROPN
fis-1243	160	4	σ	σ	PROPN
fis-1243	160	5	σ	σ	PROPN
fis-1243	160	6	σ	σ	PROPN
fis-1243	160	7	σ	σ	PROPN
fis-1243	160	8	σε	σε	PROPN
fis-1243	160	9	ε	ε	PROPN
fis-1243	160	10	ε	ε	PROPN
fis-1243	160	11	ε	ε	PROPN
fis-1243	160	12			NOUN
fis-1243	160	13			ADP
fis-1243	160	14			PROPN
fis-1243	160	15			ADP
fis-1243	160	16			PROPN
fis-1243	160	17			PRON
fis-1243	160	18			NOUN
fis-1243	160	19			VERB
fis-1243	160	20			VERB
fis-1243	160	21			X
fis-1243	160	22			ADP
fis-1243	160	23			PROPN
fis-1243	160	24			X
fis-1243	160	25			X
fis-1243	160	26			PRON
fis-1243	160	27			NOUN
fis-1243	160	28			X
fis-1243	160	29			NUM
fis-1243	160	30			NOUN
fis-1243	160	31			PUNCT
fis-1243	160	32			X
fis-1243	161	1			PROPN
fis-1243	161	2			ADJ
fis-1243	161	3			PROPN
fis-1243	161	4			PUNCT
fis-1243	161	5			X
fis-1243	161	6	(	(	PUNCT
fis-1243	161	7	26	26	NUM
fis-1243	161	8	)	)	PUNCT
fis-1243	161	9	this	this	PRON
fis-1243	161	10	implies	imply	VERB
fis-1243	161	11	:	:	PUNCT
fis-1243	162	1			NOUN
fis-1243	162	2			PUNCT
fis-1243	162	3			PROPN
fis-1243	163	1			PROPN
fis-1243	163	2			NOUN
fis-1243	163	3			SYM
fis-1243	163	4			NOUN
fis-1243	163	5			NOUN
fis-1243	163	6	p	p	VERB
fis-1243	163	7	p	p	NOUN
fis-1243	163	8	p	p	NOUN
fis-1243	163	9	0	0	PUNCT
fis-1243	164	1	i	i	NOUN
fis-1243	164	2	y0	y0	VERB
fis-1243	164	3	p	p	VERB
fis-1243	165	1	i	i	PRON
fis-1243	165	2	y	y	INTJ
fis-1243	166	1	i	i	PRON
fis-1243	166	2	i	i	PRON
fis-1243	166	3	i0	i0	PROPN
fis-1243	166	4	,	,	PUNCT
fis-1243	166	5	,	,	PUNCT
fis-1243	166	6	sup	sup	NOUN
fis-1243	166	7	q	q	PROPN
fis-1243	167	1	d	d	X
fis-1243	167	2	c	c	NOUN
fis-1243	167	3	q	q	NOUN
fis-1243	167	4	d	d	X
fis-1243	167	5	q	q	NOUN
fis-1243	167	6			X
fis-1243	167	7			NOUN
fis-1243	167	8			X
fis-1243	167	9			X
fis-1243	167	10			X
fis-1243	167	11			PROPN
fis-1243	167	12			X
fis-1243	167	13			PUNCT
fis-1243	167	14			NOUN
fis-1243	167	15			X
fis-1243	167	16			NOUN
fis-1243	167	17			NUM
fis-1243	167	18			PUNCT
fis-1243	167	19			X
fis-1243	168	1			PROPN
fis-1243	168	2			PROPN
fis-1243	168	3			PUNCT
fis-1243	168	4			PUNCT
fis-1243	168	5	ε	ε	PROPN
fis-1243	168	6	ε	ε	PROPN
fis-1243	168	7	ε	ε	PROPN
fis-1243	168	8	ε	ε	PROPN
fis-1243	168	9			X
fis-1243	168	10	(	(	PUNCT
fis-1243	168	11	27	27	NUM
fis-1243	168	12	)	)	PUNCT
fis-1243	168	13	accordingly	accordingly	ADV
fis-1243	168	14	,	,	PUNCT
fis-1243	168	15	the	the	DET
fis-1243	168	16	dissipation	dissipation	NOUN
fis-1243	168	17	function	function	NOUN
fis-1243	168	18	turns	turn	VERB
fis-1243	168	19	out	out	ADP
fis-1243	168	20	to	to	PART
fis-1243	168	21	be	be	AUX
fis-1243	168	22	:	:	PUNCT
fis-1243	168	23			NOUN
fis-1243	168	24			SYM
fis-1243	168	25			NOUN
fis-1243	168	26			SYM
fis-1243	168	27			NOUN
fis-1243	168	28			PUNCT
fis-1243	168	29			NOUN
fis-1243	168	30			PUNCT
fis-1243	169	1	p	p	X
fis-1243	169	2	p	p	NOUN
fis-1243	169	3	0	0	NUM
fis-1243	170	1	p	p	X
fis-1243	170	2	p	p	X
fis-1243	170	3	p	p	X
fis-1243	170	4	p	p	X
fis-1243	170	5	0	0	PUNCT
fis-1243	170	6	y	y	INTJ
fis-1243	171	1	i	i	PRON
fis-1243	171	2	i	i	PRON
fis-1243	172	1	p	p	VERB
fis-1243	173	1	i	i	PRON
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fis-1243	174	1	i	i	PRON
fis-1243	175	1	if	if	SCONJ
fis-1243	175	2	,	,	PUNCT
fis-1243	175	3	if	if	SCONJ
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fis-1243	175	5	c	c	NOUN
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fis-1243	176	2	d	d	X
fis-1243	176	3	c	c	PROPN
fis-1243	176	4	d	d	X
fis-1243	176	5	c	c	PROPN
fis-1243	176	6	d	d	X
fis-1243	176	7			X
fis-1243	176	8			X
fis-1243	176	9			X
fis-1243	176	10			ADP
fis-1243	176	11			PROPN
fis-1243	176	12			X
fis-1243	176	13			PROPN
fis-1243	176	14			X
fis-1243	176	15			PROPN
fis-1243	176	16			X
fis-1243	176	17			ADP
fis-1243	176	18			PROPN
fis-1243	176	19			PROPN
fis-1243	176	20			X
fis-1243	176	21			X
fis-1243	176	22			X
fis-1243	176	23			X
fis-1243	176	24			X
fis-1243	176	25			NOUN
fis-1243	176	26			PUNCT
fis-1243	177	1			X
fis-1243	178	1			INTJ
fis-1243	178	2			PROPN
fis-1243	178	3			NOUN
fis-1243	178	4			NUM
fis-1243	178	5			NOUN
fis-1243	179	1			X
fis-1243	179	2			PUNCT
fis-1243	179	3	ε	ε	PROPN
fis-1243	179	4	ε	ε	PROPN
fis-1243	179	5	ε	ε	PROPN
fis-1243	179	6	ε	ε	PROPN
fis-1243	179	7	ε	ε	PROPN
fis-1243	179	8	ε	ε	PROPN
fis-1243	179	9	ε	ε	PROPN
fis-1243	179	10			PROPN
fis-1243	179	11			PROPN
fis-1243	179	12			NOUN
fis-1243	179	13	(	(	PUNCT
fis-1243	179	14	28	28	NUM
fis-1243	179	15	)	)	PUNCT
fis-1243	179	16	n.a	n.a	PROPN
fis-1243	179	17	.	.	PROPN
fis-1243	179	18	nodargi	nodargi	PROPN
fis-1243	179	19	et	et	PROPN
fis-1243	179	20	alii	alii	PROPN
fis-1243	179	21	,	,	PUNCT
fis-1243	179	22	frattura	frattura	PROPN
fis-1243	179	23	ed	ed	PROPN
fis-1243	179	24	integrità	integrità	PROPN
fis-1243	179	25	strutturale	strutturale	PROPN
fis-1243	179	26	,	,	PUNCT
fis-1243	179	27	29	29	NUM
fis-1243	179	28	(	(	PUNCT
fis-1243	179	29	2014	2014	NUM
fis-1243	179	30	)	)	PUNCT
fis-1243	179	31	111	111	NUM
fis-1243	179	32	-	-	SYM
fis-1243	179	33	127	127	NUM
fis-1243	179	34	;	;	PUNCT
fis-1243	179	35	doi	doi	NOUN
fis-1243	179	36	:	:	PUNCT
fis-1243	179	37	10.3221	10.3221	NUM
fis-1243	179	38	/	/	SYM
fis-1243	179	39	igf	igf	PROPN
fis-1243	179	40	-	-	PUNCT
fis-1243	179	41	esis.29.11	esis.29.11	PROPN
fis-1243	179	42	116	116	NUM
fis-1243	179	43	whence	whence	NOUN
fis-1243	179	44	it	it	PRON
fis-1243	179	45	is	be	AUX
fis-1243	179	46	finite	finite	NOUN
fis-1243	179	47	provided	provide	VERB
fis-1243	179	48	that	that	SCONJ
fis-1243	179	49			NOUN
fis-1243	179	50	p	p	VERB
fis-1243	179	51	pi	pi	NOUN
fis-1243	179	52	0c	0c	NOUN
fis-1243	179	53	d	d	NOUN
fis-1243	179	54			ADP
fis-1243	179	55			PROPN
fis-1243	179	56			PROPN
fis-1243	179	57			X
fis-1243	179	58			X
fis-1243	179	59			NUM
fis-1243	179	60			NUM
fis-1243	179	61	ε	ε	PROPN
fis-1243	179	62	ε	ε	PROPN
fis-1243	179	63			NOUN
fis-1243	179	64	.	.	PUNCT
fis-1243	180	1	in	in	ADP
fis-1243	180	2	case	case	NOUN
fis-1243	180	3	of	of	ADP
fis-1243	180	4	hardening	harden	VERB
fis-1243	180	5	material	material	NOUN
fis-1243	180	6	,	,	PUNCT
fis-1243	180	7	recalling	recall	VERB
fis-1243	180	8	(	(	PUNCT
fis-1243	180	9	25	25	NUM
fis-1243	180	10	)	)	PUNCT
fis-1243	180	11	,	,	PUNCT
fis-1243	180	12	the	the	DET
fis-1243	180	13	solution	solution	NOUN
fis-1243	180	14	0i	0i	PROPN
fis-1243	180	15	yq	yq	PROPN
fis-1243	180	16			PROPN
fis-1243	180	17	of	of	ADP
fis-1243	180	18	the	the	DET
fis-1243	180	19	supremum	supremum	NOUN
fis-1243	180	20	in	in	ADP
fis-1243	180	21	(	(	PUNCT
fis-1243	180	22	27	27	NUM
fis-1243	180	23	)	)	PUNCT
fis-1243	180	24	is	be	AUX
fis-1243	180	25	unfeasible	unfeasible	ADJ
fis-1243	180	26	.	.	PUNCT
fis-1243	181	1	hence	hence	ADV
fis-1243	181	2	it	it	PRON
fis-1243	181	3	can	can	AUX
fis-1243	181	4	be	be	AUX
fis-1243	181	5	assumed	assume	VERB
fis-1243	181	6	that	that	SCONJ
fis-1243	181	7	(	(	PUNCT
fis-1243	181	8	16	16	NUM
fis-1243	181	9	)	)	PUNCT
fis-1243	181	10	prevails	prevail	NOUN
fis-1243	181	11	,	,	PUNCT
fis-1243	181	12	complemented	complement	VERB
fis-1243	181	13	with	with	ADP
fis-1243	181	14			NOUN
fis-1243	181	15			PROPN
fis-1243	181	16			NOUN
fis-1243	181	17	p	p	VERB
fis-1243	181	18	p	p	NOUN
fis-1243	181	19	0	0	NUM
fis-1243	182	1	p	p	X
fis-1243	183	1	i	i	PRON
fis-1243	183	2	y	y	PROPN
fis-1243	183	3	1	1	NUM
fis-1243	183	4	c	c	NOUN
fis-1243	183	5	d	d	NOUN
fis-1243	183	6	d	d	ADV
fis-1243	183	7			ADV
fis-1243	183	8			PROPN
fis-1243	183	9			PROPN
fis-1243	183	10			PUNCT
fis-1243	183	11			X
fis-1243	184	1			NUM
fis-1243	185	1			NOUN
fis-1243	185	2			NOUN
fis-1243	185	3	ε	ε	PROPN
fis-1243	185	4	ε	ε	PROPN
fis-1243	185	5	ε	ε	NOUN
fis-1243	185	6	(	(	PUNCT
fis-1243	185	7	29	29	NUM
fis-1243	185	8	)	)	PUNCT
fis-1243	185	9	the	the	DET
fis-1243	185	10	same	same	ADJ
fis-1243	185	11	treatment	treatment	NOUN
fis-1243	185	12	holds	hold	VERB
fis-1243	185	13	if	if	SCONJ
fis-1243	185	14	also	also	ADV
fis-1243	185	15	kinematic	kinematic	VERB
fis-1243	185	16	hardening	hardening	NOUN
fis-1243	185	17	is	be	AUX
fis-1243	185	18	present	present	ADJ
fis-1243	185	19	.	.	PUNCT
fis-1243	186	1	state	state	NOUN
fis-1243	186	2	update	update	NOUN
fis-1243	186	3	algorithm	algorithm	NOUN
fis-1243	186	4	n	n	CCONJ
fis-1243	186	5	this	this	DET
fis-1243	186	6	section	section	NOUN
fis-1243	186	7	,	,	PUNCT
fis-1243	186	8	under	under	ADP
fis-1243	186	9	the	the	DET
fis-1243	186	10	assumption	assumption	NOUN
fis-1243	186	11	of	of	ADP
fis-1243	186	12	deviatoric	deviatoric	ADJ
fis-1243	186	13	yield	yield	NOUN
fis-1243	186	14	function	function	NOUN
fis-1243	186	15	,	,	PUNCT
fis-1243	186	16	we	we	PRON
fis-1243	186	17	introduce	introduce	VERB
fis-1243	186	18	a	a	DET
fis-1243	186	19	reduced	reduced	ADJ
fis-1243	186	20	formulation	formulation	NOUN
fis-1243	186	21	for	for	ADP
fis-1243	186	22	the	the	DET
fis-1243	186	23	incremental	incremental	ADJ
fis-1243	186	24	minimization	minimization	NOUN
fis-1243	186	25	problem	problem	NOUN
fis-1243	186	26	(	(	PUNCT
fis-1243	186	27	8)	8)	NUM
fis-1243	186	28	and	and	CCONJ
fis-1243	186	29	discuss	discuss	VERB
fis-1243	186	30	the	the	DET
fis-1243	186	31	state	state	NOUN
fis-1243	186	32	update	update	NOUN
fis-1243	186	33	algorithm	algorithm	NOUN
fis-1243	186	34	proposed	propose	VERB
fis-1243	186	35	for	for	ADP
fis-1243	186	36	its	its	PRON
fis-1243	186	37	solution	solution	NOUN
fis-1243	186	38	.	.	PUNCT
fis-1243	187	1	the	the	DET
fis-1243	187	2	following	follow	VERB
fis-1243	187	3	common	common	ADJ
fis-1243	187	4	choice	choice	NOUN
fis-1243	187	5	for	for	ADP
fis-1243	187	6	the	the	DET
fis-1243	187	7	free	free	ADJ
fis-1243	187	8	energy	energy	NOUN
fis-1243	187	9	function	function	NOUN
fis-1243	187	10	e	e	NOUN
fis-1243	187	11	(	(	PUNCT
fis-1243	187	12	,	,	PUNCT
fis-1243	187	13	)	)	PUNCT
fis-1243	187	14			NOUN
fis-1243	187	15	ε	ε	PROPN
fis-1243	187	16	α	α	PROPN
fis-1243	187	17	is	be	AUX
fis-1243	187	18	made	make	VERB
fis-1243	187	19	:	:	PUNCT
fis-1243	187	20			NOUN
fis-1243	187	21			SYM
fis-1243	187	22			NOUN
fis-1243	187	23			PUNCT
fis-1243	187	24			NOUN
fis-1243	188	1	e	e	PUNCT
fis-1243	188	2	e	e	NOUN
fis-1243	188	3	,	,	PUNCT
fis-1243	188	4	w	w	PROPN
fis-1243	189	1			ADJ
fis-1243	190	1	ε	ε	ADJ
fis-1243	190	2	α	α	NOUN
fis-1243	190	3	ε	ε	PROPN
fis-1243	190	4	α	α	X
fis-1243	190	5	(	(	PUNCT
fis-1243	190	6	30	30	NUM
fis-1243	190	7	)	)	PUNCT
fis-1243	190	8	where	where	SCONJ
fis-1243	190	9	w	w	NOUN
fis-1243	190	10	and	and	CCONJ
fis-1243	190	11			NOUN
fis-1243	190	12	,	,	PUNCT
fis-1243	190	13	respectively	respectively	ADV
fis-1243	190	14	,	,	PUNCT
fis-1243	190	15	denote	denote	VERB
fis-1243	190	16	the	the	DET
fis-1243	190	17	elastic	elastic	ADJ
fis-1243	190	18	and	and	CCONJ
fis-1243	190	19	hardening	harden	VERB
fis-1243	190	20	potentials	potential	NOUN
fis-1243	190	21	,	,	PUNCT
fis-1243	190	22	and	and	CCONJ
fis-1243	190	23	may	may	AUX
fis-1243	190	24	account	account	VERB
fis-1243	190	25	for	for	ADP
fis-1243	190	26	nonlinear	nonlinear	ADJ
fis-1243	190	27	elastic	elastic	ADJ
fis-1243	190	28	and/or	and/or	CCONJ
fis-1243	190	29	hardening	harden	VERB
fis-1243	190	30	behavior	behavior	NOUN
fis-1243	190	31	.	.	PUNCT
fis-1243	191	1	the	the	DET
fis-1243	191	2	contributions	contribution	NOUN
fis-1243	191	3	from	from	ADP
fis-1243	191	4	kinematic	kinematic	ADJ
fis-1243	191	5	and	and	CCONJ
fis-1243	191	6	isotropic	isotropic	ADJ
fis-1243	191	7	hardening	hardening	NOUN
fis-1243	191	8	are	be	AUX
fis-1243	191	9	distinguished	distinguish	VERB
fis-1243	191	10	in	in	ADP
fis-1243	191	11	the	the	DET
fis-1243	191	12	latter	latter	ADJ
fis-1243	191	13	,	,	PUNCT
fis-1243	191	14	as	as	SCONJ
fis-1243	191	15	follows	follow	VERB
fis-1243	191	16	:	:	PUNCT
fis-1243	191	17			NOUN
fis-1243	192	1			SYM
fis-1243	192	2			NOUN
fis-1243	192	3			SYM
fis-1243	192	4			NOUN
fis-1243	192	5	k	k	X
fis-1243	192	6	k	k	NOUN
fis-1243	192	7	i	i	PRON
fis-1243	192	8	i	i	NOUN
fis-1243	192	9	α	α	VERB
fis-1243	192	10	α	α	NUM
fis-1243	192	11			NOUN
fis-1243	192	12			NOUN
fis-1243	192	13	(	(	PUNCT
fis-1243	192	14	31	31	NUM
fis-1243	192	15	)	)	PUNCT
fis-1243	192	16	as	as	ADP
fis-1243	192	17	a	a	DET
fis-1243	192	18	consequence	consequence	NOUN
fis-1243	192	19	,	,	PUNCT
fis-1243	192	20	substituting	substitute	VERB
fis-1243	192	21	kα	kα	PROPN
fis-1243	193	1	[	[	X
fis-1243	193	2	resp	resp	NOUN
fis-1243	193	3	.	.	PUNCT
fis-1243	193	4	,	,	PUNCT
fis-1243	194	1	i	i	PROPN
fis-1243	194	2	]	]	PUNCT
fis-1243	194	3	from	from	ADP
fis-1243	194	4	(	(	PUNCT
fis-1243	194	5	11	11	NUM
fis-1243	194	6	)	)	PUNCT
fis-1243	195	1	[	[	X
fis-1243	195	2	resp.(29	resp.(29	NOUN
fis-1243	195	3	)	)	PUNCT
fis-1243	195	4	]	]	PUNCT
fis-1243	195	5	,	,	PUNCT
fis-1243	195	6	the	the	DET
fis-1243	195	7	incremental	incremental	ADJ
fis-1243	195	8	energy	energy	NOUN
fis-1243	195	9	problem	problem	NOUN
fis-1243	195	10	(	(	PUNCT
fis-1243	195	11	8)	8)	NUM
fis-1243	195	12	is	be	AUX
fis-1243	195	13	transformed	transform	VERB
fis-1243	195	14	into	into	ADP
fis-1243	195	15	:	:	PUNCT
fis-1243	195	16			PROPN
fis-1243	195	17			PROPN
fis-1243	195	18			NOUN
fis-1243	195	19			SYM
fis-1243	195	20			NOUN
fis-1243	195	21			PUNCT
fis-1243	195	22			NOUN
fis-1243	196	1			NOUN
fis-1243	196	2			SYM
fis-1243	196	3			NOUN
fis-1243	196	4			ADJ
fis-1243	196	5	0p	0p	NOUN
fis-1243	196	6	p	p	PROPN
fis-1243	196	7	e	e	PROPN
fis-1243	196	8	,	,	PUNCT
fis-1243	196	9	trial	trial	NOUN
fis-1243	196	10	p	p	NOUN
fis-1243	196	11	trial	trial	NOUN
fis-1243	196	12	p	p	NOUN
fis-1243	196	13	trial	trial	NOUN
fis-1243	197	1	p	p	NOUN
fis-1243	197	2	p	p	PROPN
fis-1243	197	3	1	1	NUM
fis-1243	197	4	k	k	PROPN
fis-1243	197	5	k	k	X
fis-1243	197	6	,	,	PUNCT
fis-1243	197	7	1	1	NUM
fis-1243	197	8	i	i	PRON
fis-1243	197	9	i	i	PRON
fis-1243	197	10	,	,	PUNCT
fis-1243	197	11	1	1	NUM
fis-1243	197	12	y	y	PROPN
fis-1243	197	13	0	0	NUM
fis-1243	197	14	inf	inf	PROPN
fis-1243	197	15	n	n	PROPN
fis-1243	197	16	n	n	NOUN
fis-1243	197	17	nw	nw	NOUN
fis-1243	197	18	d	d	PROPN
fis-1243	197	19	d	d	PROPN
fis-1243	197	20			X
fis-1243	197	21			X
fis-1243	197	22			X
fis-1243	197	23			NOUN
fis-1243	197	24			PROPN
fis-1243	197	25			PROPN
fis-1243	197	26			PUNCT
fis-1243	197	27			PUNCT
fis-1243	198	1			PROPN
fis-1243	198	2			PROPN
fis-1243	198	3			PROPN
fis-1243	198	4			NOUN
fis-1243	198	5			VERB
fis-1243	198	6			PROPN
fis-1243	198	7			NOUN
fis-1243	198	8			PROPN
fis-1243	198	9			PUNCT
fis-1243	198	10			NOUN
fis-1243	198	11			PRON
fis-1243	198	12			PUNCT
fis-1243	198	13	ε	ε	PROPN
fis-1243	198	14	ε	ε	PROPN
fis-1243	198	15	ε	ε	PROPN
fis-1243	198	16	ε	ε	PROPN
fis-1243	198	17	α	α	NOUN
fis-1243	198	18	ε	ε	PROPN
fis-1243	198	19	ε	ε	PROPN
fis-1243	198	20	ε	ε	PROPN
fis-1243	198	21			PROPN
fis-1243	198	22			PROPN
fis-1243	198	23	(	(	PUNCT
fis-1243	198	24	32	32	NUM
fis-1243	198	25	)	)	PUNCT
fis-1243	198	26	under	under	ADP
fis-1243	198	27	isotropy	isotropy	ADJ
fis-1243	198	28	assumption	assumption	NOUN
fis-1243	198	29	,	,	PUNCT
fis-1243	198	30	the	the	DET
fis-1243	198	31	elastic	elastic	ADJ
fis-1243	198	32	potential	potential	NOUN
fis-1243	198	33	is	be	AUX
fis-1243	198	34	decomposed	decompose	VERB
fis-1243	198	35	as	as	ADP
fis-1243	198	36	:	:	PUNCT
fis-1243	198	37			NOUN
fis-1243	198	38			PROPN
fis-1243	198	39			NOUN
fis-1243	198	40			PUNCT
fis-1243	198	41			NOUN
fis-1243	198	42	e	e	PUNCT
fis-1243	198	43	e	e	X
fis-1243	198	44	e	e	X
fis-1243	198	45	sph	sph	PROPN
fis-1243	198	46	devtrw	devtrw	PROPN
fis-1243	198	47	w	w	PROPN
fis-1243	198	48	w	w	PROPN
fis-1243	198	49	ε	ε	PROPN
fis-1243	198	50	ε	ε	PROPN
fis-1243	198	51	e	e	X
fis-1243	198	52	(	(	PUNCT
fis-1243	198	53	33	33	NUM
fis-1243	198	54	)	)	PUNCT
fis-1243	198	55	where	where	SCONJ
fis-1243	198	56	sphw	sphw	NOUN
fis-1243	198	57	and	and	CCONJ
fis-1243	198	58	devw	devw	PROPN
fis-1243	198	59	denote	denote	VERB
fis-1243	198	60	the	the	DET
fis-1243	198	61	spherical	spherical	ADJ
fis-1243	198	62	and	and	CCONJ
fis-1243	198	63	deviatoric	deviatoric	ADJ
fis-1243	198	64	parts	part	NOUN
fis-1243	198	65	of	of	ADP
fis-1243	198	66	w	w	PROPN
fis-1243	198	67	,	,	PUNCT
fis-1243	198	68	ee	ee	PROPN
fis-1243	198	69	denotes	denote	VERB
fis-1243	198	70	the	the	DET
fis-1243	198	71	deviatoric	deviatoric	ADJ
fis-1243	198	72	part	part	NOUN
fis-1243	198	73	of	of	ADP
fis-1243	198	74	eε	eε	PROPN
fis-1243	198	75	,	,	PUNCT
fis-1243	198	76	and	and	CCONJ
fis-1243	198	77	tr	tr	NOUN
fis-1243	198	78	denotes	denote	VERB
fis-1243	198	79	the	the	DET
fis-1243	198	80	trace	trace	NOUN
fis-1243	198	81	operator	operator	NOUN
fis-1243	198	82	.	.	PUNCT
fis-1243	199	1	moreover	moreover	ADV
fis-1243	199	2	,	,	PUNCT
fis-1243	199	3	without	without	ADP
fis-1243	199	4	loss	loss	NOUN
fis-1243	199	5	of	of	ADP
fis-1243	199	6	generality	generality	NOUN
fis-1243	199	7	,	,	PUNCT
fis-1243	199	8	the	the	DET
fis-1243	199	9	kinematic	kinematic	ADJ
fis-1243	199	10	hardening	harden	VERB
fis-1243	199	11	potential	potential	NOUN
fis-1243	199	12	is	be	AUX
fis-1243	199	13	assumed	assume	VERB
fis-1243	199	14	to	to	PART
fis-1243	199	15	depend	depend	VERB
fis-1243	199	16	only	only	ADV
fis-1243	199	17	on	on	ADP
fis-1243	199	18	the	the	DET
fis-1243	199	19	deviatoric	deviatoric	ADJ
fis-1243	199	20	part	part	NOUN
fis-1243	199	21	of	of	ADP
fis-1243	199	22	k	k	PROPN
fis-1243	199	23	.α	.α	PROPN
fis-1243	199	24	therefore	therefore	ADV
fis-1243	199	25	the	the	DET
fis-1243	199	26	incremental	incremental	ADJ
fis-1243	199	27	energy	energy	NOUN
fis-1243	199	28	problem	problem	NOUN
fis-1243	199	29	(	(	PUNCT
fis-1243	199	30	32	32	NUM
fis-1243	199	31	)	)	PUNCT
fis-1243	199	32	is	be	AUX
fis-1243	199	33	further	far	ADV
fis-1243	199	34	reduced	reduce	VERB
fis-1243	199	35	to	to	ADP
fis-1243	199	36	:	:	PUNCT
fis-1243	200	1			PROPN
fis-1243	200	2			NOUN
fis-1243	200	3			PUNCT
fis-1243	200	4			PROPN
fis-1243	200	5			PROPN
fis-1243	200	6			NOUN
fis-1243	201	1			SYM
fis-1243	201	2			NOUN
fis-1243	201	3			PUNCT
fis-1243	201	4			NOUN
fis-1243	202	1			NOUN
fis-1243	203	1			SYM
fis-1243	203	2			NOUN
fis-1243	203	3			ADJ
fis-1243	203	4	0p	0p	NOUN
fis-1243	203	5	e	e	NOUN
fis-1243	203	6	,	,	PUNCT
fis-1243	203	7	trial	trial	NOUN
fis-1243	203	8	e	e	NOUN
fis-1243	203	9	,	,	PUNCT
fis-1243	203	10	trial	trial	NOUN
fis-1243	203	11	p	p	NOUN
fis-1243	203	12	trial	trial	NOUN
fis-1243	203	13	p	p	NOUN
fis-1243	203	14	trial	trial	NOUN
fis-1243	203	15	p	p	PROPN
fis-1243	203	16	p	p	PROPN
fis-1243	203	17	sph	sph	PROPN
fis-1243	203	18	1	1	NUM
fis-1243	203	19	dev	dev	NOUN
fis-1243	203	20	1	1	NUM
fis-1243	203	21	k	k	PROPN
fis-1243	203	22	k	k	X
fis-1243	203	23	,	,	PUNCT
fis-1243	204	1	1	1	NUM
fis-1243	204	2	i	i	PRON
fis-1243	204	3	i	i	PRON
fis-1243	204	4	,	,	PUNCT
fis-1243	204	5	1	1	NUM
fis-1243	204	6	ytr	ytr	PROPN
fis-1243	204	7	infn	infn	PROPN
fis-1243	204	8	n	n	PROPN
fis-1243	204	9	n	n	PROPN
fis-1243	204	10	nw	nw	PROPN
fis-1243	204	11	w	w	PROPN
fis-1243	204	12	d	d	PROPN
fis-1243	204	13	d	d	NOUN
fis-1243	204	14			VERB
fis-1243	204	15			PUNCT
fis-1243	204	16			ADV
fis-1243	204	17			PUNCT
fis-1243	204	18			PUNCT
fis-1243	204	19			PROPN
fis-1243	204	20			ADJ
fis-1243	204	21			PROPN
fis-1243	204	22			NOUN
fis-1243	204	23			ADV
fis-1243	204	24			PROPN
fis-1243	204	25			NOUN
fis-1243	204	26			PROPN
fis-1243	204	27			PUNCT
fis-1243	204	28			NOUN
fis-1243	204	29			ADV
fis-1243	204	30			ADJ
fis-1243	204	31	e	e	X
fis-1243	204	32	ε	ε	X
fis-1243	204	33	e	e	X
fis-1243	204	34	e	e	X
fis-1243	204	35	α	α	PROPN
fis-1243	204	36	e	e	PROPN
fis-1243	204	37	ε	ε	PROPN
fis-1243	204	38	e	e	VERB
fis-1243	204	39			PROPN
fis-1243	204	40			PROPN
fis-1243	204	41	(	(	PUNCT
fis-1243	204	42	34	34	NUM
fis-1243	204	43	)	)	PUNCT
fis-1243	204	44	where	where	SCONJ
fis-1243	204	45	pe	pe	NOUN
fis-1243	204	46	is	be	AUX
fis-1243	204	47	the	the	DET
fis-1243	204	48	deviatoric	deviatoric	ADJ
fis-1243	204	49	part	part	NOUN
fis-1243	204	50	of	of	ADP
fis-1243	204	51	pε	pε	PROPN
fis-1243	204	52	.	.	PUNCT
fis-1243	205	1	recalling	recall	VERB
fis-1243	205	2	that	that	SCONJ
fis-1243	205	3	the	the	DET
fis-1243	205	4	dissipation	dissipation	NOUN
fis-1243	205	5	function	function	VERB
fis-1243	205	6			NOUN
fis-1243	205	7	pd	pd	PROPN
fis-1243	205	8	e	e	VERB
fis-1243	205	9	is	be	AUX
fis-1243	205	10	singular	singular	ADJ
fis-1243	205	11	at	at	ADP
fis-1243	205	12	the	the	DET
fis-1243	205	13	origin	origin	NOUN
fis-1243	205	14	p	p	NOUN
fis-1243	205	15	e	e	X
fis-1243	205	16	0	0	NUM
fis-1243	205	17	,	,	PUNCT
fis-1243	205	18	the	the	DET
fis-1243	205	19	state	state	NOUN
fis-1243	205	20	update	update	NOUN
fis-1243	205	21	algorithm	algorithm	NOUN
fis-1243	205	22	first	first	ADV
fis-1243	205	23	computes	compute	VERB
fis-1243	205	24	an	an	DET
fis-1243	205	25	elastic	elastic	ADJ
fis-1243	205	26	predictor	predictor	NOUN
fis-1243	205	27	.	.	PUNCT
fis-1243	206	1	in	in	ADP
fis-1243	206	2	case	case	NOUN
fis-1243	206	3	the	the	DET
fis-1243	206	4	corresponding	correspond	VERB
fis-1243	206	5	state	state	NOUN
fis-1243	206	6	is	be	AUX
fis-1243	206	7	plastically	plastically	ADV
fis-1243	206	8	admissible	admissible	ADJ
fis-1243	206	9	,	,	PUNCT
fis-1243	206	10	the	the	DET
fis-1243	206	11	step	step	NOUN
fis-1243	206	12	is	be	AUX
fis-1243	206	13	elastic	elastic	ADJ
fis-1243	206	14	and	and	CCONJ
fis-1243	206	15	the	the	DET
fis-1243	206	16	infimum	infimum	NOUN
fis-1243	206	17	in	in	ADP
fis-1243	206	18	(	(	PUNCT
fis-1243	206	19	34	34	NUM
fis-1243	206	20	)	)	PUNCT
fis-1243	206	21	is	be	AUX
fis-1243	206	22	attained	attain	VERB
fis-1243	206	23	at	at	ADP
fis-1243	206	24	the	the	DET
fis-1243	206	25	origin	origin	NOUN
fis-1243	206	26	.	.	PUNCT
fis-1243	207	1	conversely	conversely	ADV
fis-1243	207	2	,	,	PUNCT
fis-1243	207	3	having	having	AUX
fis-1243	207	4	excluded	exclude	VERB
fis-1243	207	5	the	the	DET
fis-1243	207	6	singularity	singularity	NOUN
fis-1243	207	7	,	,	PUNCT
fis-1243	207	8	a	a	DET
fis-1243	207	9	smooth	smooth	ADJ
fis-1243	207	10	incremental	incremental	ADJ
fis-1243	207	11	energy	energy	NOUN
fis-1243	207	12	minimization	minimization	NOUN
fis-1243	207	13	problem	problem	NOUN
fis-1243	207	14	can	can	AUX
fis-1243	207	15	be	be	AUX
fis-1243	207	16	solved	solve	VERB
fis-1243	207	17	.	.	PUNCT
fis-1243	208	1	by	by	ADP
fis-1243	208	2	introducing	introduce	VERB
fis-1243	208	3	the	the	DET
fis-1243	208	4	linear	linear	ADJ
fis-1243	208	5	projector	projector	NOUN
fis-1243	208	6	operator	operator	NOUN
fis-1243	208	7	on	on	ADP
fis-1243	208	8	the	the	DET
fis-1243	208	9	deviatoric	deviatoric	ADJ
fis-1243	208	10	tensor	tensor	NOUN
fis-1243	208	11	subspace	subspace	NOUN
fis-1243	208	12	dev	dev	PROPN
fis-1243	208	13	/	/	PUNCT
fis-1243	208	14	3	3	NUM
fis-1243	208	15			PROPN
fis-1243	208	16	i	i	PROPN
fis-1243	208	17	i	i	PROPN
fis-1243	208	18			PROPN
fis-1243	208	19	,	,	PUNCT
fis-1243	208	20	the	the	DET
fis-1243	208	21	euler	euler	NOUN
fis-1243	208	22	-	-	PUNCT
fis-1243	208	23	lagrange	lagrange	NOUN
fis-1243	208	24	equation	equation	NOUN
fis-1243	208	25	of	of	ADP
fis-1243	208	26	(	(	PUNCT
fis-1243	208	27	34	34	NUM
fis-1243	208	28	)	)	PUNCT
fis-1243	208	29	is	be	AUX
fis-1243	208	30	:	:	PUNCT
fis-1243	208	31			NOUN
fis-1243	208	32			SYM
fis-1243	208	33			NOUN
fis-1243	208	34			PUNCT
fis-1243	208	35			NOUN
fis-1243	208	36			NOUN
fis-1243	209	1			SYM
fis-1243	209	2			NOUN
fis-1243	209	3			NOUN
fis-1243	209	4	0	0	VERB
fis-1243	209	5	0	0	NUM
fis-1243	209	6	e	e	NOUN
fis-1243	209	7	,	,	PUNCT
fis-1243	209	8	trial	trial	NOUN
fis-1243	209	9	p	p	NOUN
fis-1243	209	10	trial	trial	NOUN
fis-1243	209	11	p	p	NOUN
fis-1243	209	12	trial	trial	NOUN
fis-1243	209	13	p	p	PROPN
fis-1243	209	14	p	p	PROPN
fis-1243	209	15	dev	dev	PROPN
fis-1243	209	16	dev	dev	NOUN
fis-1243	209	17	1	1	NUM
fis-1243	209	18	k	k	PROPN
fis-1243	209	19	k	k	X
fis-1243	209	20	,	,	PUNCT
fis-1243	209	21	1	1	NUM
fis-1243	210	1	i	i	PRON
fis-1243	210	2	i	i	PRON
fis-1243	210	3	,	,	PUNCT
fis-1243	210	4	1	1	NUM
fis-1243	210	5	y	y	PROPN
fis-1243	210	6	y	y	PROPN
fis-1243	210	7	,	,	PUNCT
fis-1243	210	8	1	1	NUM
fis-1243	210	9	t	t	PROPN
fis-1243	210	10	n	n	NOUN
fis-1243	210	11	n	n	NOUN
fis-1243	210	12	nw	nw	NOUN
fis-1243	210	13	d	d	NOUN
fis-1243	210	14	d	d	ADV
fis-1243	210	15			PROPN
fis-1243	210	16			NOUN
fis-1243	210	17			PUNCT
fis-1243	210	18			PUNCT
fis-1243	210	19			PROPN
fis-1243	210	20			PROPN
fis-1243	210	21			PROPN
fis-1243	210	22			NOUN
fis-1243	210	23			PROPN
fis-1243	210	24			PROPN
fis-1243	210	25			NOUN
fis-1243	210	26			PROPN
fis-1243	210	27			PROPN
fis-1243	210	28			PUNCT
fis-1243	210	29			PUNCT
fis-1243	210	30			NOUN
fis-1243	210	31			ADJ
fis-1243	210	32			NOUN
fis-1243	210	33	e	e	PROPN
fis-1243	210	34	e	e	NOUN
fis-1243	210	35	α	α	NOUN
fis-1243	210	36	e	e	X
fis-1243	210	37	e	e	X
fis-1243	210	38	e	e	X
fis-1243	210	39	0	0	PROPN
fis-1243	210	40			PROPN
fis-1243	210	41	(	(	PUNCT
fis-1243	210	42	35	35	NUM
fis-1243	210	43	)	)	PUNCT
fis-1243	210	44	where	where	SCONJ
fis-1243	210	45	the	the	DET
fis-1243	210	46	gradients	gradient	NOUN
fis-1243	210	47	of	of	ADP
fis-1243	210	48	devw	devw	PROPN
fis-1243	210	49	,	,	PUNCT
fis-1243	210	50	k	k	PROPN
fis-1243	210	51	,	,	PUNCT
fis-1243	210	52	and	and	CCONJ
fis-1243	210	53	d	d	NOUN
fis-1243	210	54	are	be	AUX
fis-1243	210	55	taken	take	VERB
fis-1243	210	56	,	,	PUNCT
fis-1243	210	57	respectively	respectively	ADV
fis-1243	210	58	,	,	PUNCT
fis-1243	210	59	with	with	ADP
fis-1243	210	60	respect	respect	NOUN
fis-1243	210	61	to	to	ADP
fis-1243	210	62	ee	ee	PROPN
fis-1243	210	63	,	,	PUNCT
fis-1243	210	64	kα	kα	X
fis-1243	210	65	,	,	PUNCT
fis-1243	210	66	and	and	CCONJ
fis-1243	210	67	pe	pe	PROPN
fis-1243	210	68	.	.	PUNCT
fis-1243	211	1	eq	eq	X
fis-1243	211	2	.	.	PUNCT
fis-1243	212	1	(	(	PUNCT
fis-1243	212	2	35	35	NUM
fis-1243	212	3	)	)	PUNCT
fis-1243	212	4	is	be	AUX
fis-1243	212	5	solved	solve	VERB
fis-1243	212	6	by	by	ADP
fis-1243	212	7	the	the	DET
fis-1243	212	8	newton	newton	PROPN
fis-1243	212	9	-	-	PUNCT
fis-1243	212	10	raphson	raphson	PROPN
fis-1243	212	11	method	method	NOUN
fis-1243	212	12	,	,	PUNCT
fis-1243	212	13	using	use	VERB
fis-1243	212	14	the	the	DET
fis-1243	212	15	consistent	consistent	ADJ
fis-1243	212	16	tangent	tangent	NOUN
fis-1243	212	17	:	:	PUNCT
fis-1243	213	1			NOUN
fis-1243	213	2			SYM
fis-1243	213	3			NOUN
fis-1243	213	4			PUNCT
fis-1243	213	5			NOUN
fis-1243	213	6			NOUN
fis-1243	213	7			SYM
fis-1243	213	8			NOUN
fis-1243	213	9			ADJ
fis-1243	213	10			PROPN
fis-1243	213	11			NOUN
fis-1243	213	12			PUNCT
fis-1243	213	13			NOUN
fis-1243	213	14			PUNCT
fis-1243	213	15			NOUN
fis-1243	214	1			PUNCT
fis-1243	214	2	0	0	NUM
fis-1243	214	3	0	0	NUM
fis-1243	214	4	0	0	NUM
fis-1243	214	5	0	0	NUM
fis-1243	214	6	e	e	NOUN
fis-1243	214	7	,	,	PUNCT
fis-1243	214	8	trial	trial	NOUN
fis-1243	214	9	p	p	NOUN
fis-1243	214	10	trial	trial	NOUN
fis-1243	214	11	p	p	NOUN
fis-1243	214	12	trial	trial	NOUN
fis-1243	214	13	p	p	PROPN
fis-1243	214	14	p	p	PROPN
fis-1243	214	15	dev	dev	PROPN
fis-1243	214	16	dev	dev	NOUN
fis-1243	214	17	1	1	NUM
fis-1243	214	18	k	k	PROPN
fis-1243	214	19	k	k	X
fis-1243	214	20	,	,	PUNCT
fis-1243	214	21	1	1	NUM
fis-1243	215	1	i	i	PRON
fis-1243	215	2	i	i	PRON
fis-1243	215	3	,	,	PUNCT
fis-1243	215	4	1	1	NUM
fis-1243	215	5	y	y	PROPN
fis-1243	215	6	y	y	PROPN
fis-1243	215	7	trial	trial	NOUN
fis-1243	215	8	p	p	NOUN
fis-1243	215	9	2	2	NUM
fis-1243	215	10	p	p	NOUN
fis-1243	215	11	p	p	X
fis-1243	216	1	i	i	PRON
fis-1243	216	2	i	i	PRON
fis-1243	216	3	,	,	PUNCT
fis-1243	216	4	1	1	NUM
fis-1243	216	5	y	y	PROPN
fis-1243	216	6	y	y	PROPN
fis-1243	216	7	dev	dev	PROPN
fis-1243	216	8	1	1	NUM
fis-1243	216	9	.	.	PUNCT
fis-1243	217	1	t	t	PROPN
fis-1243	217	2	n	n	CCONJ
fis-1243	217	3	n	n	PROPN
fis-1243	217	4	n	n	CCONJ
fis-1243	217	5	n	n	NOUN
fis-1243	217	6	w	w	NOUN
fis-1243	217	7	d	d	PROPN
fis-1243	217	8	d	d	PROPN
fis-1243	217	9	d	d	PROPN
fis-1243	217	10	d	d	PROPN
fis-1243	217	11	d	d	PROPN
fis-1243	217	12			X
fis-1243	217	13			X
fis-1243	217	14			X
fis-1243	217	15			NOUN
fis-1243	217	16			X
fis-1243	217	17			PROPN
fis-1243	217	18			ADV
fis-1243	217	19			ADV
fis-1243	217	20			PUNCT
fis-1243	217	21			PUNCT
fis-1243	218	1			PROPN
fis-1243	218	2			PROPN
fis-1243	218	3			PROPN
fis-1243	218	4			PROPN
fis-1243	218	5			NOUN
fis-1243	218	6			PROPN
fis-1243	218	7			PROPN
fis-1243	218	8			NOUN
fis-1243	218	9			PROPN
fis-1243	218	10			PROPN
fis-1243	218	11			PUNCT
fis-1243	218	12			PUNCT
fis-1243	219	1			NOUN
fis-1243	219	2			NOUN
fis-1243	219	3			PROPN
fis-1243	219	4			PROPN
fis-1243	219	5			PROPN
fis-1243	219	6			PUNCT
fis-1243	219	7			NOUN
fis-1243	219	8			NOUN
fis-1243	219	9			PRON
fis-1243	219	10			NUM
fis-1243	219	11			X
fis-1243	219	12	e	e	X
fis-1243	219	13	e	e	X
fis-1243	219	14	α	α	NOUN
fis-1243	219	15	e	e	X
fis-1243	219	16	e	e	X
fis-1243	219	17	e	e	X
fis-1243	219	18	e	e	X
fis-1243	219	19	e	e	X
fis-1243	219	20	e	e	X
fis-1243	219	21			PROPN
fis-1243	219	22			PROPN
fis-1243	219	23			PROPN
fis-1243	219	24			NOUN
fis-1243	219	25			PROPN
fis-1243	219	26			PROPN
fis-1243	219	27	(	(	PUNCT
fis-1243	219	28	36	36	NUM
fis-1243	219	29	)	)	PUNCT
fis-1243	219	30	i	i	PRON
fis-1243	219	31	n.a	n.a	PROPN
fis-1243	219	32	.	.	PROPN
fis-1243	219	33	nodargi	nodargi	PROPN
fis-1243	219	34	et	et	PROPN
fis-1243	219	35	alii	alii	PROPN
fis-1243	219	36	,	,	PUNCT
fis-1243	219	37	frattura	frattura	PROPN
fis-1243	219	38	ed	ed	PROPN
fis-1243	219	39	integrità	integrità	PROPN
fis-1243	219	40	strutturale	strutturale	PROPN
fis-1243	219	41	,	,	PUNCT
fis-1243	219	42	29	29	NUM
fis-1243	219	43	(	(	PUNCT
fis-1243	219	44	2014	2014	NUM
fis-1243	219	45	)	)	PUNCT
fis-1243	219	46	111	111	NUM
fis-1243	219	47	-	-	SYM
fis-1243	219	48	127	127	NUM
fis-1243	219	49	;	;	PUNCT
fis-1243	219	50	doi	doi	NOUN
fis-1243	219	51	:	:	PUNCT
fis-1243	219	52	10.3221	10.3221	NUM
fis-1243	219	53	/	/	SYM
fis-1243	219	54	igf	igf	PROPN
fis-1243	219	55	-	-	PUNCT
fis-1243	219	56	esis.29.11	esis.29.11	PROPN
fis-1243	219	57	117	117	NUM
fis-1243	219	58	a	a	DET
fis-1243	219	59	convenient	convenient	ADJ
fis-1243	219	60	initial	initial	ADJ
fis-1243	219	61	guess	guess	NOUN
fis-1243	219	62	is	be	AUX
fis-1243	219	63	computed	compute	VERB
fis-1243	219	64	by	by	ADP
fis-1243	219	65	substituting	substitute	VERB
fis-1243	219	66	p	p	NOUN
fis-1243	219	67	p	p	PROPN
fis-1243	219	68	p	p	NOUN
fis-1243	219	69	,	,	PUNCT
fis-1243	219	70			ADP
fis-1243	219	71			NOUN
fis-1243	219	72			PUNCT
fis-1243	219	73			X
fis-1243	220	1			NUM
fis-1243	220	2	e	e	X
fis-1243	220	3	e	e	X
fis-1243	220	4	e	e	NOUN
fis-1243	220	5	u	u	NOUN
fis-1243	220	6	with	with	ADP
fis-1243	220	7	deviatoric	deviatoric	ADJ
fis-1243	220	8	unit	unit	NOUN
fis-1243	220	9	pe	pe	PROPN
fis-1243	220	10	u	u	NOUN
fis-1243	220	11	,	,	PUNCT
fis-1243	220	12	in	in	ADP
fis-1243	220	13	(	(	PUNCT
fis-1243	220	14	34	34	NUM
fis-1243	220	15	)	)	PUNCT
fis-1243	220	16	.	.	PUNCT
fis-1243	221	1	exploiting	exploit	VERB
fis-1243	221	2	the	the	DET
fis-1243	221	3	degree	degree	NOUN
fis-1243	221	4	-	-	PUNCT
fis-1243	221	5	one	one	NUM
fis-1243	221	6	positive	positive	ADJ
fis-1243	221	7	homogeneity	homogeneity	NOUN
fis-1243	221	8	of	of	ADP
fis-1243	221	9	the	the	DET
fis-1243	221	10	dissipation	dissipation	NOUN
fis-1243	221	11	function	function	NOUN
fis-1243	221	12	,	,	PUNCT
fis-1243	221	13	the	the	DET
fis-1243	221	14	taylor	taylor	PROPN
fis-1243	221	15	expansion	expansion	NOUN
fis-1243	221	16	about	about	ADP
fis-1243	221	17	p	p	PROPN
fis-1243	221	18	0	0	NOUN
fis-1243	221	19			NOUN
fis-1243	221	20			NUM
fis-1243	221	21	e	e	NOUN
fis-1243	221	22	of	of	ADP
fis-1243	221	23	the	the	DET
fis-1243	221	24	corresponding	corresponding	PROPN
fis-1243	221	25	euler	euler	PROPN
fis-1243	221	26	-	-	PUNCT
fis-1243	221	27	lagrange	lagrange	NOUN
fis-1243	221	28	condition	condition	NOUN
fis-1243	221	29	results	result	VERB
fis-1243	221	30	in	in	ADP
fis-1243	221	31	a	a	DET
fis-1243	221	32	scalar	scalar	ADJ
fis-1243	221	33	algebraic	algebraic	ADJ
fis-1243	221	34	equation	equation	NOUN
fis-1243	221	35	for	for	ADP
fis-1243	221	36	the	the	DET
fis-1243	221	37	lode	lode	PROPN
fis-1243	221	38	angle	angle	NOUN
fis-1243	221	39	p	p	X
fis-1243	221	40			PROPN
fis-1243	221	41	e	e	X
fis-1243	221	42	u	u	PROPN
fis-1243	221	43	.	.	PUNCT
fis-1243	222	1	once	once	ADV
fis-1243	222	2	computed	compute	VERB
fis-1243	222	3	pe	pe	NOUN
fis-1243	222	4	satisfying	satisfying	ADJ
fis-1243	222	5	(	(	PUNCT
fis-1243	222	6	35	35	NUM
fis-1243	222	7	)	)	PUNCT
fis-1243	222	8	,	,	PUNCT
fis-1243	222	9	the	the	DET
fis-1243	222	10	algorithmic	algorithmic	ADJ
fis-1243	222	11	consistent	consistent	ADJ
fis-1243	222	12	elastoplastic	elastoplastic	ADJ
fis-1243	222	13	tangent	tangent	NOUN
fis-1243	222	14	is	be	AUX
fis-1243	222	15	given	give	VERB
fis-1243	222	16	by	by	ADP
fis-1243	222	17	:	:	PUNCT
fis-1243	222	18			PROPN
fis-1243	222	19	ep	ep	PROPN
fis-1243	222	20	1	1	NUM
fis-1243	222	21	sph	sph	PROPN
fis-1243	222	22	dev	dev	PROPN
fis-1243	222	23	dev	dev	PROPN
fis-1243	222	24	dev	dev	PROPN
fis-1243	222	25	dev	dev	PROPN
fis-1243	222	26	tw	tw	PROPN
fis-1243	222	27	w	w	PROPN
fis-1243	222	28	w	w	NOUN
fis-1243	222	29			ADP
fis-1243	222	30			PUNCT
fis-1243	222	31			X
fis-1243	222	32			PROPN
fis-1243	222	33	i	i	PROPN
fis-1243	222	34	i	i	PROPN
fis-1243	222	35			PROPN
fis-1243	222	36			ADP
fis-1243	222	37			PROPN
fis-1243	222	38			PROPN
fis-1243	222	39	(	(	PUNCT
fis-1243	222	40	37	37	NUM
fis-1243	222	41	)	)	PUNCT
fis-1243	222	42	remark	remark	NOUN
fis-1243	222	43	.	.	PUNCT
fis-1243	223	1	the	the	DET
fis-1243	223	2	present	present	ADJ
fis-1243	223	3	formulation	formulation	NOUN
fis-1243	223	4	,	,	PUNCT
fis-1243	223	5	when	when	SCONJ
fis-1243	223	6	specialized	specialize	VERB
fis-1243	223	7	to	to	ADP
fis-1243	223	8	particular	particular	ADJ
fis-1243	223	9	choices	choice	NOUN
fis-1243	223	10	of	of	ADP
fis-1243	223	11	yield	yield	NOUN
fis-1243	223	12	function	function	NOUN
fis-1243	223	13	and	and	CCONJ
fis-1243	223	14	elastic	elastic	ADJ
fis-1243	223	15	/	/	SYM
fis-1243	223	16	hardening	harden	VERB
fis-1243	223	17	potentials	potential	NOUN
fis-1243	223	18	,	,	PUNCT
fis-1243	223	19	gets	get	AUX
fis-1243	223	20	simplified	simplify	VERB
fis-1243	223	21	.	.	PUNCT
fis-1243	224	1	as	as	ADP
fis-1243	224	2	an	an	DET
fis-1243	224	3	example	example	NOUN
fis-1243	224	4	,	,	PUNCT
fis-1243	224	5	we	we	PRON
fis-1243	224	6	consider	consider	VERB
fis-1243	224	7	a	a	DET
fis-1243	224	8	linear	linear	ADJ
fis-1243	224	9	elastic	elastic	ADJ
fis-1243	224	10	and	and	CCONJ
fis-1243	224	11	hardening	harden	VERB
fis-1243	224	12	behavior	behavior	NOUN
fis-1243	224	13	with	with	ADP
fis-1243	224	14	von	von	PROPN
fis-1243	224	15	mises	mises	PROPN
fis-1243	224	16	criterion	criterion	NOUN
fis-1243	224	17	.	.	PUNCT
fis-1243	225	1	the	the	DET
fis-1243	225	2	helmoltz	helmoltz	NOUN
fis-1243	225	3	free	free	ADJ
fis-1243	225	4	energy	energy	NOUN
fis-1243	225	5	and	and	CCONJ
fis-1243	225	6	the	the	DET
fis-1243	225	7	hardening	hardening	NOUN
fis-1243	225	8	potentials	potential	NOUN
fis-1243	225	9	are	be	AUX
fis-1243	225	10	given	give	VERB
fis-1243	225	11	by	by	ADP
fis-1243	225	12	:	:	PUNCT
fis-1243	225	13	e	e	NOUN
fis-1243	225	14	e	e	X
fis-1243	225	15	2	2	NUM
fis-1243	225	16	e	e	SYM
fis-1243	225	17	2	2	NUM
fis-1243	225	18	2	2	NUM
fis-1243	225	19	2	2	NUM
fis-1243	226	1	k	k	NOUN
fis-1243	226	2	k	k	PROPN
fis-1243	227	1	k	k	PROPN
fis-1243	227	2	k	k	PROPN
fis-1243	228	1	i	i	PRON
fis-1243	228	2	i	i	PRON
fis-1243	229	1	i	i	PRON
fis-1243	229	2	i	i	VERB
fis-1243	229	3	1	1	NUM
fis-1243	229	4	1	1	NUM
fis-1243	229	5	1	1	NUM
fis-1243	229	6	(	(	PUNCT
fis-1243	229	7	)	)	PUNCT
fis-1243	229	8	(	(	PUNCT
fis-1243	229	9	tr	tr	NOUN
fis-1243	229	10	)	)	PUNCT
fis-1243	229	11	g	g	NOUN
fis-1243	229	12	,	,	PUNCT
fis-1243	229	13	(	(	PUNCT
fis-1243	229	14	)	)	PUNCT
fis-1243	229	15	,	,	PUNCT
fis-1243	229	16	(	(	PUNCT
fis-1243	229	17	2	2	X
fis-1243	229	18	)	)	PUNCT
fis-1243	229	19	32	32	NUM
fis-1243	230	1	k	k	NOUN
fis-1243	230	2	h	h	NOUN
fis-1243	231	1	k	k	PROPN
fis-1243	231	2	h	h	NOUN
fis-1243	231	3	k	k	PROPN
fis-1243	231	4			X
fis-1243	231	5			NOUN
fis-1243	231	6			PUNCT
fis-1243	231	7			PROPN
fis-1243	231	8	ε	ε	PROPN
fis-1243	231	9	ε	ε	PROPN
fis-1243	231	10	e	e	NOUN
fis-1243	231	11	α	α	PROPN
fis-1243	231	12	α	α	PROPN
fis-1243	231	13			PROPN
fis-1243	232	1			PROPN
fis-1243	232	2			PROPN
fis-1243	232	3	(	(	PUNCT
fis-1243	232	4	38	38	NUM
fis-1243	232	5	)	)	PUNCT
fis-1243	232	6	the	the	DET
fis-1243	232	7	yield	yield	NOUN
fis-1243	232	8	function	function	NOUN
fis-1243	232	9	and	and	CCONJ
fis-1243	232	10	the	the	DET
fis-1243	232	11	relevant	relevant	ADJ
fis-1243	232	12	dissipation	dissipation	NOUN
fis-1243	232	13	function	function	NOUN
fis-1243	232	14	are	be	AUX
fis-1243	232	15	given	give	VERB
fis-1243	232	16	by	by	ADP
fis-1243	232	17	:	:	PUNCT
fis-1243	232	18			PROPN
fis-1243	232	19			PROPN
fis-1243	232	20			NOUN
fis-1243	232	21			PROPN
fis-1243	232	22	0	0	PUNCT
fis-1243	233	1	p	p	NOUN
fis-1243	233	2	p	p	NOUN
fis-1243	233	3	ˆ	ˆ	ADJ
fis-1243	233	4	ˆ	ˆ	ADV
fis-1243	233	5	ˆ	ˆ	ADV
fis-1243	233	6	ˆi	ˆi	X
fis-1243	233	7	y	y	NOUN
fis-1243	233	8	i	i	PROPN
fis-1243	233	9	y0	y0	PROPN
fis-1243	233	10	,	,	PUNCT
fis-1243	233	11	(	(	PUNCT
fis-1243	233	12	)	)	PUNCT
fis-1243	233	13	,	,	PUNCT
fis-1243	233	14	,	,	PUNCT
fis-1243	233	15	,	,	PUNCT
fis-1243	233	16	f	f	PROPN
fis-1243	233	17	cq	cq	INTJ
fis-1243	233	18	dq	dq	PROPN
fis-1243	233	19	c	c	X
fis-1243	233	20			ADP
fis-1243	233	21			PROPN
fis-1243	233	22			PART
fis-1243	233	23			PROPN
fis-1243	233	24			PROPN
fis-1243	233	25			NOUN
fis-1243	233	26	σ	σ	PROPN
fis-1243	233	27	σ	σ	PROPN
fis-1243	233	28	σ	σ	PROPN
fis-1243	233	29	σ	σ	PROPN
fis-1243	233	30	ε	ε	PROPN
fis-1243	233	31	ε	ε	PROPN
fis-1243	233	32			PROPN
fis-1243	233	33	(	(	PUNCT
fis-1243	233	34	39	39	NUM
fis-1243	233	35	)	)	PUNCT
fis-1243	233	36	the	the	DET
fis-1243	233	37	euler	euler	NOUN
fis-1243	233	38	-	-	PUNCT
fis-1243	233	39	lagrange	lagrange	NOUN
fis-1243	233	40	eq	eq	NOUN
fis-1243	233	41	.	.	PUNCT
fis-1243	234	1	(	(	PUNCT
fis-1243	234	2	35	35	NUM
fis-1243	234	3	)	)	PUNCT
fis-1243	234	4	becomes	become	VERB
fis-1243	234	5	:	:	PUNCT
fis-1243	234	6			NOUN
fis-1243	234	7			SYM
fis-1243	234	8			NOUN
fis-1243	234	9			SYM
fis-1243	234	10			NOUN
fis-1243	234	11			PUNCT
fis-1243	234	12	0	0	NUM
fis-1243	235	1	p	p	NOUN
fis-1243	235	2	e	e	NOUN
fis-1243	235	3	,	,	PUNCT
fis-1243	235	4	trial	trial	NOUN
fis-1243	235	5	p	p	NOUN
fis-1243	235	6	trial	trial	NOUN
fis-1243	235	7	p	p	NOUN
fis-1243	235	8	trial	trial	NOUN
fis-1243	235	9	p	p	NOUN
fis-1243	235	10	1	1	NUM
fis-1243	235	11	k	k	NOUN
fis-1243	235	12	k	k	X
fis-1243	235	13	,	,	PUNCT
fis-1243	235	14	1	1	NUM
fis-1243	235	15	i	i	PRON
fis-1243	235	16	i	i	PRON
fis-1243	235	17	,	,	PUNCT
fis-1243	235	18	1	1	NUM
fis-1243	235	19	y	y	NOUN
fis-1243	235	20	y0	y0	NOUN
fis-1243	235	21	p	p	NOUN
fis-1243	235	22	2	2	NUM
fis-1243	235	23	2	2	NUM
fis-1243	235	24	1	1	NUM
fis-1243	235	25	3n	3n	NUM
fis-1243	235	26	n	n	PRON
fis-1243	235	27	ng	ng	PROPN
fis-1243	235	28	k	k	PROPN
fis-1243	235	29	k	k	PROPN
fis-1243	235	30	c	c	PROPN
fis-1243	236	1	c	c	PROPN
fis-1243	236	2			PROPN
fis-1243	236	3			NOUN
fis-1243	236	4			VERB
fis-1243	236	5			VERB
fis-1243	236	6			PROPN
fis-1243	236	7			PROPN
fis-1243	236	8			PROPN
fis-1243	236	9			ADJ
fis-1243	236	10			PROPN
fis-1243	236	11			PROPN
fis-1243	236	12			NOUN
fis-1243	236	13			PROPN
fis-1243	236	14			PROPN
fis-1243	236	15			PUNCT
fis-1243	236	16			PUNCT
fis-1243	236	17			PROPN
fis-1243	236	18			PROPN
fis-1243	236	19			PUNCT
fis-1243	236	20	e	e	X
fis-1243	236	21	e	e	X
fis-1243	236	22	e	e	X
fis-1243	236	23	α	α	X
fis-1243	236	24	e	e	NOUN
fis-1243	236	25	ε	ε	X
fis-1243	236	26	0	0	NUM
fis-1243	236	27	e	e	PROPN
fis-1243	236	28			PROPN
fis-1243	236	29			PROPN
fis-1243	236	30			PROPN
fis-1243	236	31			PROPN
fis-1243	236	32	(	(	PUNCT
fis-1243	236	33	40	40	NUM
fis-1243	236	34	)	)	PUNCT
fis-1243	236	35	introducing	introduce	VERB
fis-1243	236	36	the	the	DET
fis-1243	236	37	deviatoric	deviatoric	ADJ
fis-1243	236	38	trial	trial	NOUN
fis-1243	236	39	back	back	ADJ
fis-1243	236	40	-	-	PUNCT
fis-1243	236	41	stress	stress	NOUN
fis-1243	236	42	trial	trial	NOUN
fis-1243	236	43	e	e	NOUN
fis-1243	236	44	,	,	PUNCT
fis-1243	236	45	trial	trial	NOUN
fis-1243	236	46	trial	trial	NOUN
fis-1243	236	47	1	1	NUM
fis-1243	236	48	1	1	NUM
fis-1243	236	49	k	k	PROPN
fis-1243	236	50	k	k	X
fis-1243	236	51	,	,	PUNCT
fis-1243	236	52	122	122	NUM
fis-1243	236	53	3	3	NUM
fis-1243	236	54	,	,	PUNCT
fis-1243	236	55	n	n	CCONJ
fis-1243	236	56	n	n	PRON
fis-1243	236	57	ng	ng	PROPN
fis-1243	236	58	k	k	PROPN
fis-1243	236	59			PROPN
fis-1243	236	60			ADV
fis-1243	236	61	s	s	ADJ
fis-1243	236	62	e	e	NOUN
fis-1243	236	63	α	α	NOUN
fis-1243	236	64	noting	note	VERB
fis-1243	236	65	that	that	SCONJ
fis-1243	236	66	the	the	DET
fis-1243	236	67	latter	latter	ADJ
fis-1243	236	68	results	result	NOUN
fis-1243	236	69	to	to	PART
fis-1243	236	70	be	be	AUX
fis-1243	236	71	parallel	parallel	ADJ
fis-1243	236	72	to	to	ADP
fis-1243	236	73	pe	pe	NOUN
fis-1243	236	74	and	and	CCONJ
fis-1243	236	75	multiplying	multiplying	NOUN
fis-1243	236	76	(	(	PUNCT
fis-1243	236	77	40	40	NUM
fis-1243	236	78	)	)	PUNCT
fis-1243	236	79	by	by	ADP
fis-1243	236	80	p	p	NOUN
fis-1243	236	81	p	p	NOUN
fis-1243	236	82	e	e	VERB
fis-1243	236	83	e	e	PROPN
fis-1243	236	84			PROPN
fis-1243	236	85	,	,	PUNCT
fis-1243	236	86	the	the	DET
fis-1243	236	87	following	follow	VERB
fis-1243	236	88	solution	solution	NOUN
fis-1243	236	89	for	for	ADP
fis-1243	236	90	pe	pe	PROPN
fis-1243	236	91	is	be	AUX
fis-1243	236	92	obtained	obtain	VERB
fis-1243	236	93	:	:	PUNCT
fis-1243	236	94			ADJ
fis-1243	236	95	trial	trial	ADJ
fis-1243	236	96	trial	trial	NOUN
fis-1243	236	97	pp	pp	ADP
fis-1243	236	98	1trial	1trial	NUM
fis-1243	236	99	y0	y0	NOUN
fis-1243	237	1	i	i	PRON
fis-1243	237	2	i	i	PRON
fis-1243	237	3	,	,	PUNCT
fis-1243	237	4	1p	1p	PROPN
fis-1243	237	5	p	p	ADJ
fis-1243	237	6	1trial	1trial	NUM
fis-1243	237	7	k1	k1	NOUN
fis-1243	237	8	,	,	PUNCT
fis-1243	237	9	(	(	PUNCT
fis-1243	237	10	2	2	NUM
fis-1243	237	11	2	2	NUM
fis-1243	237	12	3	3	NUM
fis-1243	237	13	)	)	PUNCT
fis-1243	237	14	n	n	CCONJ
fis-1243	237	15	n	n	CCONJ
fis-1243	237	16	n	n	CCONJ
fis-1243	237	17	n	n	NOUN
fis-1243	237	18	c	c	NOUN
fis-1243	237	19	k	k	PROPN
fis-1243	237	20	c	c	PROPN
fis-1243	237	21	g	g	PROPN
fis-1243	237	22	k	k	PROPN
fis-1243	237	23			PUNCT
fis-1243	237	24			PUNCT
fis-1243	237	25			NOUN
fis-1243	237	26			VERB
fis-1243	237	27			PUNCT
fis-1243	237	28			PROPN
fis-1243	237	29			PROPN
fis-1243	237	30			VERB
fis-1243	237	31			VERB
fis-1243	237	32			ADV
fis-1243	237	33			VERB
fis-1243	237	34			PROPN
fis-1243	237	35			NUM
fis-1243	237	36			NOUN
fis-1243	238	1			NUM
fis-1243	238	2			PROPN
fis-1243	238	3	s	s	VERB
fis-1243	238	4	εe	εe	ADP
fis-1243	238	5	e	e	PROPN
fis-1243	238	6	s	s	PROPN
fis-1243	238	7	e	e	NOUN
fis-1243	238	8	s	s	NOUN
fis-1243	238	9			NOUN
fis-1243	238	10			PROPN
fis-1243	238	11			PROPN
fis-1243	238	12			PROPN
fis-1243	238	13			ADV
fis-1243	238	14			PROPN
fis-1243	238	15			NOUN
fis-1243	238	16			ADP
fis-1243	238	17			NOUN
fis-1243	238	18			NOUN
fis-1243	238	19	(	(	PUNCT
fis-1243	238	20	41	41	NUM
fis-1243	238	21	)	)	PUNCT
fis-1243	238	22	as	as	ADP
fis-1243	238	23	a	a	DET
fis-1243	238	24	consequence	consequence	NOUN
fis-1243	238	25	,	,	PUNCT
fis-1243	238	26	the	the	DET
fis-1243	238	27	well	well	ADV
fis-1243	238	28	-	-	PUNCT
fis-1243	238	29	known	know	VERB
fis-1243	238	30	expression	expression	NOUN
fis-1243	238	31	(	(	PUNCT
fis-1243	238	32	see	see	VERB
fis-1243	238	33	,	,	PUNCT
fis-1243	238	34	e.g.	e.g.	ADV
fis-1243	238	35	,	,	PUNCT
fis-1243	238	36	[	[	X
fis-1243	238	37	35	35	NUM
fis-1243	238	38	]	]	PUNCT
fis-1243	238	39	)	)	PUNCT
fis-1243	238	40	for	for	ADP
fis-1243	238	41	the	the	DET
fis-1243	238	42	algorithmic	algorithmic	ADJ
fis-1243	238	43	consistent	consistent	ADJ
fis-1243	238	44	elastoplastic	elastoplastic	ADJ
fis-1243	238	45	tangent	tangent	NOUN
fis-1243	238	46	results	result	NOUN
fis-1243	238	47	:	:	PUNCT
fis-1243	238	48	trial	trial	NOUN
fis-1243	238	49	trialp	trialp	NOUN
fis-1243	238	50	p	p	NOUN
fis-1243	238	51	1	1	NUM
fis-1243	238	52	1ep	1ep	NOUN
fis-1243	238	53	devtrial	devtrial	ADJ
fis-1243	238	54	trial	trial	NOUN
fis-1243	238	55	trial	trial	NOUN
fis-1243	238	56	trial2	trial2	NOUN
fis-1243	238	57	k	k	PROPN
fis-1243	238	58	i1	i1	PROPN
fis-1243	238	59	1	1	NUM
fis-1243	238	60	1	1	NUM
fis-1243	238	61	1	1	NUM
fis-1243	238	62	2	2	NUM
fis-1243	238	63	1	1	NUM
fis-1243	238	64	2	2	NUM
fis-1243	238	65	2	2	NUM
fis-1243	238	66	2	2	NUM
fis-1243	238	67	2	2	NUM
fis-1243	238	68	2	2	NUM
fis-1243	238	69	3	3	NUM
fis-1243	238	70	n	n	CCONJ
fis-1243	238	71	n	n	CCONJ
fis-1243	238	72	n	n	CCONJ
fis-1243	238	73	n	n	CCONJ
fis-1243	238	74	n	n	CCONJ
fis-1243	238	75	n	n	ADV
fis-1243	238	76	g	g	NOUN
fis-1243	238	77	g	g	PROPN
fis-1243	238	78	g	g	PROPN
fis-1243	238	79	g	g	PROPN
fis-1243	238	80	g	g	PROPN
fis-1243	238	81	k	k	PROPN
fis-1243	238	82	c	c	PROPN
fis-1243	238	83	k	k	PROPN
fis-1243	238	84	k	k	PROPN
fis-1243	238	85			PROPN
fis-1243	238	86			PROPN
fis-1243	238	87			PROPN
fis-1243	238	88			PROPN
fis-1243	238	89			PUNCT
fis-1243	238	90			PUNCT
fis-1243	238	91			PROPN
fis-1243	238	92			PROPN
fis-1243	238	93			NOUN
fis-1243	238	94			X
fis-1243	238	95			PUNCT
fis-1243	238	96			PROPN
fis-1243	238	97			PROPN
fis-1243	238	98			PROPN
fis-1243	238	99			PROPN
fis-1243	238	100			PROPN
fis-1243	238	101			PROPN
fis-1243	238	102			PROPN
fis-1243	238	103			PROPN
fis-1243	238	104			NOUN
fis-1243	238	105			PROPN
fis-1243	239	1			PROPN
fis-1243	239	2			PROPN
fis-1243	239	3			PROPN
fis-1243	239	4			NOUN
fis-1243	239	5			ADP
fis-1243	239	6			NOUN
fis-1243	239	7	e	e	X
fis-1243	239	8	e	e	NOUN
fis-1243	239	9	s	s	X
fis-1243	239	10	s	s	X
fis-1243	239	11	i	i	PRON
fis-1243	240	1	i	i	PRON
fis-1243	240	2	s	s	VERB
fis-1243	240	3	s	s	X
fis-1243	240	4	s	s	X
fis-1243	240	5	s	s	NOUN
fis-1243	240	6			PROPN
fis-1243	240	7			NOUN
fis-1243	240	8			PROPN
fis-1243	241	1			SCONJ
fis-1243	241	2			X
fis-1243	241	3			PROPN
fis-1243	241	4			PROPN
fis-1243	241	5			PRON
fis-1243	241	6			NOUN
fis-1243	241	7			NOUN
fis-1243	241	8			PROPN
fis-1243	241	9			PROPN
fis-1243	241	10			PROPN
fis-1243	241	11			PROPN
fis-1243	241	12			PROPN
fis-1243	241	13			PROPN
fis-1243	241	14			PROPN
fis-1243	241	15	(	(	PUNCT
fis-1243	241	16	42	42	NUM
fis-1243	241	17	)	)	PUNCT
fis-1243	241	18	numerical	numerical	ADJ
fis-1243	241	19	tests	test	NOUN
fis-1243	241	20	n	n	CCONJ
fis-1243	241	21	this	this	DET
fis-1243	241	22	section	section	NOUN
fis-1243	241	23	we	we	PRON
fis-1243	241	24	assess	assess	VERB
fis-1243	241	25	the	the	DET
fis-1243	241	26	numerical	numerical	ADJ
fis-1243	241	27	reliability	reliability	NOUN
fis-1243	241	28	and	and	CCONJ
fis-1243	241	29	robustness	robustness	NOUN
fis-1243	241	30	of	of	ADP
fis-1243	241	31	the	the	DET
fis-1243	241	32	proposed	propose	VERB
fis-1243	241	33	state	state	NOUN
fis-1243	241	34	update	update	NOUN
fis-1243	241	35	algorithm	algorithm	NOUN
fis-1243	241	36	.	.	PUNCT
fis-1243	242	1	its	its	PRON
fis-1243	242	2	convergence	convergence	NOUN
fis-1243	242	3	properties	property	NOUN
fis-1243	242	4	are	be	AUX
fis-1243	242	5	explored	explore	VERB
fis-1243	242	6	by	by	ADP
fis-1243	242	7	a	a	DET
fis-1243	242	8	single	single	ADJ
fis-1243	242	9	increment	increment	NOUN
fis-1243	242	10	test	test	NOUN
fis-1243	242	11	and	and	CCONJ
fis-1243	242	12	compared	compare	VERB
fis-1243	242	13	with	with	ADP
fis-1243	242	14	the	the	DET
fis-1243	242	15	performances	performance	NOUN
fis-1243	242	16	of	of	ADP
fis-1243	242	17	the	the	DET
fis-1243	242	18	classical	classical	ADJ
fis-1243	242	19	return	return	NOUN
fis-1243	242	20	mapping	mapping	NOUN
fis-1243	242	21	approach	approach	NOUN
fis-1243	242	22	.	.	PUNCT
fis-1243	243	1	the	the	DET
fis-1243	243	2	numerical	numerical	ADJ
fis-1243	243	3	results	result	NOUN
fis-1243	243	4	prove	prove	VERB
fis-1243	243	5	that	that	SCONJ
fis-1243	243	6	the	the	DET
fis-1243	243	7	two	two	NUM
fis-1243	243	8	strategies	strategy	NOUN
fis-1243	243	9	have	have	VERB
fis-1243	243	10	complementary	complementary	ADJ
fis-1243	243	11	convergence	convergence	NOUN
fis-1243	243	12	properties	property	NOUN
fis-1243	243	13	.	.	PUNCT
fis-1243	244	1	then	then	ADV
fis-1243	244	2	,	,	PUNCT
fis-1243	244	3	we	we	PRON
fis-1243	244	4	consider	consider	VERB
fis-1243	244	5	the	the	DET
fis-1243	244	6	integration	integration	NOUN
fis-1243	244	7	of	of	ADP
fis-1243	244	8	a	a	DET
fis-1243	244	9	non	non	ADJ
fis-1243	244	10	-	-	ADJ
fis-1243	244	11	proportional	proportional	ADJ
fis-1243	244	12	stress	stress	NOUN
fis-1243	244	13	-	-	PUNCT
fis-1243	244	14	strain	strain	NOUN
fis-1243	244	15	loading	loading	NOUN
fis-1243	244	16	history	history	NOUN
fis-1243	244	17	of	of	ADP
fis-1243	244	18	a	a	DET
fis-1243	244	19	material	material	NOUN
fis-1243	244	20	point	point	NOUN
fis-1243	244	21	,	,	PUNCT
fis-1243	244	22	and	and	CCONJ
fis-1243	244	23	finite	finite	ADJ
fis-1243	244	24	element	element	NOUN
fis-1243	244	25	simulations	simulation	NOUN
fis-1243	244	26	.	.	PUNCT
fis-1243	245	1	single	single	ADJ
fis-1243	245	2	increment	increment	NOUN
fis-1243	245	3	test	test	NOUN
fis-1243	245	4	in	in	ADP
fis-1243	245	5	[	[	X
fis-1243	245	6	17	17	NUM
fis-1243	245	7	]	]	SYM
fis-1243	245	8	armero	armero	NOUN
fis-1243	245	9	and	and	CCONJ
fis-1243	245	10	pérez	pérez	NOUN
fis-1243	245	11	-	-	PUNCT
fis-1243	245	12	foguet	foguet	NOUN
fis-1243	245	13	assess	assess	VERB
fis-1243	245	14	the	the	DET
fis-1243	245	15	converge	converge	NOUN
fis-1243	245	16	properties	property	NOUN
fis-1243	245	17	of	of	ADP
fis-1243	245	18	return	return	NOUN
fis-1243	245	19	mapping	mapping	NOUN
fis-1243	245	20	algorithms	algorithm	NOUN
fis-1243	245	21	by	by	ADP
fis-1243	245	22	using	use	VERB
fis-1243	245	23	the	the	DET
fis-1243	245	24	following	follow	VERB
fis-1243	245	25	single	single	ADJ
fis-1243	245	26	increment	increment	NOUN
fis-1243	245	27	test	test	NOUN
fis-1243	245	28	.	.	PUNCT
fis-1243	246	1	assuming	assume	VERB
fis-1243	246	2	the	the	DET
fis-1243	246	3	initial	initial	ADJ
fis-1243	246	4	state	state	NOUN
fis-1243	246	5	to	to	PART
fis-1243	246	6	be	be	AUX
fis-1243	246	7	virgin	virgin	ADJ
fis-1243	246	8	,	,	PUNCT
fis-1243	246	9	a	a	DET
fis-1243	246	10	total	total	ADJ
fis-1243	246	11	strain	strain	NOUN
fis-1243	246	12	ε	ε	PROPN
fis-1243	246	13	(	(	PUNCT
fis-1243	246	14	coinciding	coincide	VERB
fis-1243	246	15	with	with	ADP
fis-1243	246	16	the	the	DET
fis-1243	246	17	elastic	elastic	ADJ
fis-1243	246	18	trial	trial	NOUN
fis-1243	246	19	strain	strain	NOUN
fis-1243	246	20	e	e	NOUN
fis-1243	246	21	,	,	PUNCT
fis-1243	246	22	trialε	trialε	NOUN
fis-1243	246	23	)	)	PUNCT
fis-1243	246	24	is	be	AUX
fis-1243	246	25	applied	apply	VERB
fis-1243	246	26	to	to	ADP
fis-1243	246	27	the	the	DET
fis-1243	246	28	gauss	gauss	ADJ
fis-1243	246	29	point	point	NOUN
fis-1243	246	30	.	.	PUNCT
fis-1243	247	1	the	the	DET
fis-1243	247	2	total	total	ADJ
fis-1243	247	3	strain	strain	NOUN
fis-1243	247	4	is	be	AUX
fis-1243	247	5	defined	define	VERB
fis-1243	247	6	in	in	ADP
fis-1243	247	7	terms	term	NOUN
fis-1243	247	8	of	of	ADP
fis-1243	247	9	its	its	PRON
fis-1243	247	10	haigh	haigh	NOUN
fis-1243	247	11	-	-	PUNCT
fis-1243	247	12	westergaard	westergaard	NOUN
fis-1243	247	13	coordinates	coordinate	NOUN
fis-1243	247	14	in	in	ADP
fis-1243	247	15	the	the	DET
fis-1243	247	16	deviatoric	deviatoric	ADJ
fis-1243	247	17	plane	plane	NOUN
fis-1243	247	18	,	,	PUNCT
fis-1243	247	19	namely	namely	ADV
fis-1243	247	20	ε	ε	PUNCT
fis-1243	247	21	and	and	CCONJ
fis-1243	247	22	ε	ε	INTJ
fis-1243	247	23	.	.	PUNCT
fis-1243	248	1	a	a	PRON
fis-1243	248	2	von	von	PROPN
fis-1243	248	3	mises	mises	PROPN
fis-1243	248	4	–	–	PUNCT
fis-1243	248	5	tresca	tresca	NOUN
fis-1243	248	6	yield	yield	NOUN
fis-1243	248	7	function	function	NOUN
fis-1243	248	8	with	with	ADP
fis-1243	248	9	20	20	NUM
fis-1243	248	10	m	m	NOUN
fis-1243	248	11			NOUN
fis-1243	248	12	(	(	PUNCT
fis-1243	248	13	see	see	VERB
fis-1243	248	14	appendix	appendix	NOUN
fis-1243	248	15	b	b	NOUN
fis-1243	248	16	)	)	PUNCT
fis-1243	248	17	is	be	AUX
fis-1243	248	18	adopted	adopt	VERB
fis-1243	248	19	and	and	CCONJ
fis-1243	248	20	this	this	DET
fis-1243	248	21	choice	choice	NOUN
fis-1243	248	22	corresponds	correspond	VERB
fis-1243	248	23	to	to	ADP
fis-1243	248	24	a	a	DET
fis-1243	248	25	yield	yield	NOUN
fis-1243	248	26	surface	surface	NOUN
fis-1243	248	27	with	with	ADP
fis-1243	248	28	high	high	ADJ
fis-1243	248	29	curvature	curvature	NOUN
fis-1243	248	30	points	point	NOUN
fis-1243	248	31	close	close	ADV
fis-1243	248	32	to	to	ADP
fis-1243	248	33	°	°	NUM
fis-1243	248	34	,	,	PUNCT
fis-1243	248	35	00	00	NUM
fis-1243	248	36	6	6	NUM
fis-1243	248	37	°	°	PROPN
fis-1243	248	38			X
fis-1243	248	39	σ	σ	NOUN
fis-1243	248	40	and	and	CCONJ
fis-1243	248	41	low	low	ADJ
fis-1243	248	42	curvature	curvature	NOUN
fis-1243	248	43	in	in	ADP
fis-1243	248	44	between	between	ADP
fis-1243	248	45	.	.	PUNCT
fis-1243	249	1	because	because	SCONJ
fis-1243	249	2	of	of	ADP
fis-1243	249	3	the	the	DET
fis-1243	249	4	symmetry	symmetry	NOUN
fis-1243	249	5	of	of	ADP
fis-1243	249	6	the	the	DET
fis-1243	249	7	resulting	result	VERB
fis-1243	249	8	yield	yield	NOUN
fis-1243	249	9	surface	surface	NOUN
fis-1243	249	10	,	,	PUNCT
fis-1243	249	11	only	only	ADV
fis-1243	249	12	lode	lode	ADJ
fis-1243	249	13	angle	angle	NOUN
fis-1243	249	14	°	°	PROPN
fis-1243	249	15	,	,	PUNCT
fis-1243	249	16	°	°	PROPN
fis-1243	249	17	0	0	NUM
fis-1243	249	18	0	0	NUM
fis-1243	249	19	]	]	X
fis-1243	249	20	[	[	PUNCT
fis-1243	249	21	3	3	NUM
fis-1243	249	22	ε	ε	PRON
fis-1243	249	23	need	need	VERB
fis-1243	249	24	to	to	PART
fis-1243	249	25	be	be	AUX
fis-1243	249	26	considered	consider	VERB
fis-1243	249	27	.	.	PUNCT
fis-1243	250	1	isotropic	isotropic	ADJ
fis-1243	250	2	linear	linear	ADJ
fis-1243	250	3	elastic	elastic	ADJ
fis-1243	250	4	constitutive	constitutive	ADJ
fis-1243	250	5	law	law	NOUN
fis-1243	250	6	,	,	PUNCT
fis-1243	250	7	with	with	ADP
fis-1243	250	8	bulk	bulk	ADJ
fis-1243	250	9	modulus	modulus	NOUN
fis-1243	250	10	164.206	164.206	NUM
fis-1243	250	11	gpak	gpak	NOUN
fis-1243	250	12			ADJ
fis-1243	250	13	and	and	CCONJ
fis-1243	250	14	shear	shear	ADJ
fis-1243	250	15	modulus	modulus	ADJ
fis-1243	250	16	89.1938	89.1938	NUM
fis-1243	250	17	gpag	gpag	NOUN
fis-1243	250	18			NOUN
fis-1243	250	19	,	,	PUNCT
fis-1243	250	20	and	and	CCONJ
fis-1243	250	21	perfect	perfect	ADJ
fis-1243	250	22	plasticity	plasticity	NOUN
fis-1243	250	23	,	,	PUNCT
fis-1243	250	24	with	with	ADP
fis-1243	250	25	yield	yield	NOUN
fis-1243	250	26	stress	stress	NOUN
fis-1243	250	27	y0	y0	PROPN
fis-1243	250	28	0.45	0.45	NUM
fis-1243	250	29	gpa	gpa	NOUN
fis-1243	250	30			ADV
fis-1243	250	31	,	,	PUNCT
fis-1243	250	32	are	be	AUX
fis-1243	250	33	considered	consider	VERB
fis-1243	250	34	.	.	PUNCT
fis-1243	251	1	i	i	PRON
fis-1243	251	2	n.a	n.a	PROPN
fis-1243	251	3	.	.	PROPN
fis-1243	251	4	nodargi	nodargi	PROPN
fis-1243	251	5	et	et	PROPN
fis-1243	251	6	alii	alii	PROPN
fis-1243	251	7	,	,	PUNCT
fis-1243	251	8	frattura	frattura	PROPN
fis-1243	251	9	ed	ed	PROPN
fis-1243	251	10	integrità	integrità	PROPN
fis-1243	251	11	strutturale	strutturale	PROPN
fis-1243	251	12	,	,	PUNCT
fis-1243	251	13	29	29	NUM
fis-1243	251	14	(	(	PUNCT
fis-1243	251	15	2014	2014	NUM
fis-1243	251	16	)	)	PUNCT
fis-1243	251	17	111	111	NUM
fis-1243	251	18	-	-	SYM
fis-1243	251	19	127	127	NUM
fis-1243	251	20	;	;	PUNCT
fis-1243	251	21	doi	doi	NOUN
fis-1243	251	22	:	:	PUNCT
fis-1243	251	23	10.3221	10.3221	NUM
fis-1243	251	24	/	/	SYM
fis-1243	251	25	igf	igf	PROPN
fis-1243	251	26	-	-	PUNCT
fis-1243	251	27	esis.29.11	esis.29.11	VERB
fis-1243	251	28	118	118	NUM
fis-1243	251	29	fig	fig	NOUN
fis-1243	251	30	.	.	PUNCT
fis-1243	252	1	1	1	NUM
fis-1243	252	2	compares	compare	VERB
fis-1243	252	3	the	the	DET
fis-1243	252	4	performances	performance	NOUN
fis-1243	252	5	of	of	ADP
fis-1243	252	6	the	the	DET
fis-1243	252	7	return	return	NOUN
fis-1243	252	8	mapping	mapping	NOUN
fis-1243	252	9	and	and	CCONJ
fis-1243	252	10	incremental	incremental	ADJ
fis-1243	252	11	energy	energy	NOUN
fis-1243	252	12	minimization	minimization	NOUN
fis-1243	252	13	algorithms	algorithm	NOUN
fis-1243	252	14	in	in	ADP
fis-1243	252	15	terms	term	NOUN
fis-1243	252	16	of	of	ADP
fis-1243	252	17	number	number	NOUN
fis-1243	252	18	of	of	ADP
fis-1243	252	19	iterations	iteration	NOUN
fis-1243	252	20	needed	need	VERB
fis-1243	252	21	for	for	ADP
fis-1243	252	22	convergence	convergence	NOUN
fis-1243	252	23	.	.	PUNCT
fis-1243	253	1	in	in	ADP
fis-1243	253	2	fig	fig	NOUN
fis-1243	253	3	.	.	PUNCT
fis-1243	254	1	1(a	1(a	NUM
fis-1243	254	2	)	)	PUNCT
fis-1243	255	1	it	it	PRON
fis-1243	255	2	is	be	AUX
fis-1243	255	3	clear	clear	ADJ
fis-1243	255	4	that	that	SCONJ
fis-1243	255	5	when	when	SCONJ
fis-1243	255	6	the	the	DET
fis-1243	255	7	elastic	elastic	ADJ
fis-1243	255	8	trial	trial	NOUN
fis-1243	255	9	state	state	NOUN
fis-1243	255	10	in	in	ADP
fis-1243	255	11	stress	stress	NOUN
fis-1243	255	12	space	space	NOUN
fis-1243	255	13	is	be	AUX
fis-1243	255	14	close	close	ADJ
fis-1243	255	15	to	to	ADP
fis-1243	255	16	high	high	ADJ
fis-1243	255	17	curvature	curvature	NOUN
fis-1243	255	18	points	point	NOUN
fis-1243	255	19	of	of	ADP
fis-1243	255	20	the	the	DET
fis-1243	255	21	yield	yield	NOUN
fis-1243	255	22	surface	surface	NOUN
fis-1243	255	23	,	,	PUNCT
fis-1243	255	24	i.e.	i.e.	X
fis-1243	255	25	for	for	ADP
fis-1243	255	26	0	0	PROPN
fis-1243	255	27			PROPN
fis-1243	255	28			PUNCT
fis-1243	255	29	σ	σ	PROPN
fis-1243	255	30	ε	ε	PROPN
fis-1243	255	31	,	,	PUNCT
fis-1243	255	32	the	the	DET
fis-1243	255	33	return	return	NOUN
fis-1243	255	34	mapping	mapping	NOUN
fis-1243	255	35	algorithm	algorithm	NOUN
fis-1243	255	36	has	have	VERB
fis-1243	255	37	convergence	convergence	NOUN
fis-1243	255	38	difficulty	difficulty	NOUN
fis-1243	255	39	.	.	PUNCT
fis-1243	256	1	as	as	SCONJ
fis-1243	256	2	depicted	depict	VERB
fis-1243	256	3	in	in	ADP
fis-1243	256	4	fig	fig	NOUN
fis-1243	256	5	.	.	PUNCT
fis-1243	257	1	1(b	1(b	NUM
fis-1243	257	2	)	)	PUNCT
fis-1243	257	3	,	,	PUNCT
fis-1243	257	4	for	for	ADP
fis-1243	257	5	the	the	DET
fis-1243	257	6	same	same	ADJ
fis-1243	257	7	elastic	elastic	ADJ
fis-1243	257	8	trial	trial	NOUN
fis-1243	257	9	state	state	NOUN
fis-1243	257	10	the	the	DET
fis-1243	257	11	proposed	propose	VERB
fis-1243	257	12	state	state	NOUN
fis-1243	257	13	update	update	NOUN
fis-1243	257	14	algorithm	algorithm	NOUN
fis-1243	257	15	needs	need	VERB
fis-1243	257	16	1	1	NUM
fis-1243	257	17	-	-	SYM
fis-1243	257	18	3	3	NUM
fis-1243	257	19	iterations	iteration	NOUN
fis-1243	257	20	to	to	PART
fis-1243	257	21	reach	reach	VERB
fis-1243	257	22	convergence	convergence	NOUN
fis-1243	257	23	.	.	PUNCT
fis-1243	258	1	a	a	DET
fis-1243	258	2	converse	converse	NOUN
fis-1243	258	3	situation	situation	NOUN
fis-1243	258	4	happens	happen	VERB
fis-1243	258	5	around	around	ADV
fis-1243	258	6	30	30	NUM
fis-1243	258	7			NOUN
fis-1243	258	8			PUNCT
fis-1243	258	9	σ	σ	NUM
fis-1243	258	10	ε	ε	PROPN
fis-1243	258	11	.	.	PUNCT
fis-1243	259	1	this	this	DET
fis-1243	259	2	result	result	NOUN
fis-1243	259	3	is	be	AUX
fis-1243	259	4	explained	explain	VERB
fis-1243	259	5	observing	observe	VERB
fis-1243	259	6	that	that	DET
fis-1243	259	7	high	high	ADJ
fis-1243	259	8	curvature	curvature	NOUN
fis-1243	259	9	points	point	NOUN
fis-1243	259	10	in	in	ADP
fis-1243	259	11	the	the	DET
fis-1243	259	12	yield	yield	NOUN
fis-1243	259	13	surface	surface	NOUN
fis-1243	259	14	correspond	correspond	NOUN
fis-1243	259	15	to	to	ADP
fis-1243	259	16	low	low	ADJ
fis-1243	259	17	curvature	curvature	NOUN
fis-1243	259	18	points	point	NOUN
fis-1243	259	19	in	in	ADP
fis-1243	259	20	the	the	DET
fis-1243	259	21	graph	graph	NOUN
fis-1243	259	22	of	of	ADP
fis-1243	259	23	the	the	DET
fis-1243	259	24	dissipation	dissipation	NOUN
fis-1243	259	25	function	function	NOUN
fis-1243	259	26	,	,	PUNCT
fis-1243	259	27	and	and	CCONJ
fis-1243	259	28	viceversa	viceversa	ADJ
fis-1243	259	29	(	(	PUNCT
fis-1243	259	30	see	see	VERB
fis-1243	259	31	appendix	appendix	NOUN
fis-1243	259	32	b	b	NOUN
fis-1243	259	33	)	)	PUNCT
fis-1243	259	34	.	.	PUNCT
fis-1243	260	1	(	(	PUNCT
fis-1243	260	2	a	a	X
fis-1243	260	3	)	)	PUNCT
fis-1243	260	4	(	(	PUNCT
fis-1243	260	5	b	b	X
fis-1243	260	6	)	)	PUNCT
fis-1243	260	7	figure	figure	NOUN
fis-1243	260	8	1	1	NUM
fis-1243	260	9	:	:	PUNCT
fis-1243	260	10	single	single	ADJ
fis-1243	260	11	increment	increment	NOUN
fis-1243	260	12	test	test	NOUN
fis-1243	260	13	.	.	PUNCT
fis-1243	261	1	number	number	NOUN
fis-1243	261	2	of	of	ADP
fis-1243	261	3	iterations	iteration	NOUN
fis-1243	261	4	needed	need	VERB
fis-1243	261	5	for	for	ADP
fis-1243	261	6	convergence	convergence	NOUN
fis-1243	261	7	for	for	ADP
fis-1243	261	8	von	von	PROPN
fis-1243	261	9	mises	mises	PROPN
fis-1243	261	10	–	–	PUNCT
fis-1243	261	11	tresca	tresca	NOUN
fis-1243	261	12	yield	yield	NOUN
fis-1243	261	13	surface	surface	NOUN
fis-1243	261	14	(	(	PUNCT
fis-1243	261	15	m=20	m=20	PROPN
fis-1243	261	16	)	)	PUNCT
fis-1243	261	17	by	by	ADP
fis-1243	261	18	:	:	PUNCT
fis-1243	261	19	(	(	PUNCT
fis-1243	261	20	a	a	X
fis-1243	261	21	)	)	PUNCT
fis-1243	261	22	return	return	NOUN
fis-1243	261	23	mapping	mapping	NOUN
fis-1243	261	24	algorithm	algorithm	NOUN
fis-1243	261	25	[	[	X
fis-1243	261	26	17	17	NUM
fis-1243	261	27	]	]	X
fis-1243	261	28	;	;	PUNCT
fis-1243	261	29	(	(	PUNCT
fis-1243	261	30	b	b	X
fis-1243	261	31	)	)	PUNCT
fis-1243	261	32	proposed	propose	VERB
fis-1243	261	33	incremental	incremental	ADJ
fis-1243	261	34	energy	energy	NOUN
fis-1243	261	35	minimization	minimization	NOUN
fis-1243	261	36	algorithm	algorithm	NOUN
fis-1243	261	37	.	.	PUNCT
fis-1243	262	1	pointwise	pointwise	VERB
fis-1243	262	2	mixed	mix	VERB
fis-1243	262	3	stress	stress	NOUN
fis-1243	262	4	-	-	PUNCT
fis-1243	262	5	strain	strain	NOUN
fis-1243	262	6	test	test	NOUN
fis-1243	262	7	in	in	ADP
fis-1243	262	8	order	order	NOUN
fis-1243	262	9	to	to	PART
fis-1243	262	10	explore	explore	VERB
fis-1243	262	11	the	the	DET
fis-1243	262	12	algorithm	algorithm	NOUN
fis-1243	262	13	effectiveness	effectiveness	NOUN
fis-1243	262	14	,	,	PUNCT
fis-1243	262	15	we	we	PRON
fis-1243	262	16	consider	consider	VERB
fis-1243	262	17	a	a	DET
fis-1243	262	18	pointwise	pointwise	ADJ
fis-1243	262	19	mixed	mix	VERB
fis-1243	262	20	stress	stress	NOUN
fis-1243	262	21	-	-	PUNCT
fis-1243	262	22	strain	strain	NOUN
fis-1243	262	23	test	test	NOUN
fis-1243	262	24	as	as	SCONJ
fis-1243	262	25	reported	report	VERB
fis-1243	262	26	in	in	ADP
fis-1243	262	27	[	[	X
fis-1243	262	28	36	36	NUM
fis-1243	262	29	]	]	PUNCT
fis-1243	262	30	.	.	PUNCT
fis-1243	263	1	in	in	ADP
fis-1243	263	2	particular	particular	ADJ
fis-1243	263	3	,	,	PUNCT
fis-1243	263	4	a	a	DET
fis-1243	263	5	non	non	ADJ
fis-1243	263	6	-	-	ADJ
fis-1243	263	7	proportional	proportional	ADJ
fis-1243	263	8	stress	stress	NOUN
fis-1243	263	9	-	-	PUNCT
fis-1243	263	10	strain	strain	NOUN
fis-1243	263	11	history	history	NOUN
fis-1243	263	12	is	be	AUX
fis-1243	263	13	adopted	adopt	VERB
fis-1243	263	14	.	.	PUNCT
fis-1243	264	1	the	the	DET
fis-1243	264	2	two	two	NUM
fis-1243	264	3	controlled	control	VERB
fis-1243	264	4	strain	strain	NOUN
fis-1243	264	5	components	component	NOUN
fis-1243	264	6	,	,	PUNCT
fis-1243	264	7	x	x	PROPN
fis-1243	264	8	and	and	CCONJ
fis-1243	264	9	xy	xy	PROPN
fis-1243	264	10	,	,	PUNCT
fis-1243	264	11	follow	follow	VERB
fis-1243	264	12	the	the	DET
fis-1243	264	13	loading	loading	NOUN
fis-1243	264	14	history	history	NOUN
fis-1243	264	15	described	describe	VERB
fis-1243	264	16	in	in	ADP
fis-1243	264	17	tab	tab	PROPN
fis-1243	264	18	.	.	PUNCT
fis-1243	265	1	1	1	NUM
fis-1243	265	2	,	,	PUNCT
fis-1243	265	3	whereas	whereas	SCONJ
fis-1243	265	4	the	the	DET
fis-1243	265	5	four	four	NUM
fis-1243	265	6	controlled	control	VERB
fis-1243	265	7	stress	stress	NOUN
fis-1243	265	8	components	component	NOUN
fis-1243	265	9	,	,	PUNCT
fis-1243	265	10	y	y	PROPN
fis-1243	265	11	,	,	PUNCT
fis-1243	265	12	z	z	PROPN
fis-1243	265	13	,	,	PUNCT
fis-1243	265	14	xz	xz	PROPN
fis-1243	265	15	,	,	PUNCT
fis-1243	265	16	yz	yz	PROPN
fis-1243	265	17	,	,	PUNCT
fis-1243	265	18	are	be	AUX
fis-1243	265	19	held	hold	VERB
fis-1243	265	20	identically	identically	ADV
fis-1243	265	21	equal	equal	ADJ
fis-1243	265	22	to	to	ADP
fis-1243	265	23	zero	zero	NUM
fis-1243	265	24	.	.	PUNCT
fis-1243	266	1	the	the	DET
fis-1243	266	2	strains	strain	NOUN
fis-1243	266	3	are	be	AUX
fis-1243	266	4	varied	varied	ADJ
fis-1243	266	5	proportionally	proportionally	ADV
fis-1243	266	6	to	to	ADP
fis-1243	266	7	the	the	DET
fis-1243	266	8	first	first	ADJ
fis-1243	266	9	yielding	yield	VERB
fis-1243	266	10	value	value	NOUN
fis-1243	266	11	in	in	ADP
fis-1243	266	12	a	a	DET
fis-1243	266	13	uniaxial	uniaxial	ADJ
fis-1243	266	14	loading	loading	NOUN
fis-1243	266	15	history	history	NOUN
fis-1243	266	16	y0	y0	NOUN
fis-1243	266	17	.	.	PUNCT
fis-1243	267	1	isotropic	isotropic	ADJ
fis-1243	267	2	linear	linear	ADJ
fis-1243	267	3	elastic	elastic	ADJ
fis-1243	267	4	constitutive	constitutive	ADJ
fis-1243	267	5	law	law	NOUN
fis-1243	267	6	with	with	ADP
fis-1243	267	7	young	young	ADJ
fis-1243	267	8	modulus	modulus	NOUN
fis-1243	267	9	100	100	NUM
fis-1243	267	10	mpae	mpae	NOUN
fis-1243	267	11			PROPN
fis-1243	267	12	and	and	CCONJ
fis-1243	267	13	poisson	poisson	PROPN
fis-1243	267	14	coefficient	coefficient	NOUN
fis-1243	267	15	0.3	0.3	X
fis-1243	267	16			NOUN
fis-1243	267	17	is	be	AUX
fis-1243	267	18	assumed	assume	VERB
fis-1243	267	19	.	.	PUNCT
fis-1243	268	1	we	we	PRON
fis-1243	268	2	consider	consider	VERB
fis-1243	268	3	a	a	DET
fis-1243	268	4	von	von	PROPN
fis-1243	268	5	mises	mises	PROPN
fis-1243	268	6	yield	yield	VERB
fis-1243	268	7	function	function	NOUN
fis-1243	268	8	(	(	PUNCT
fis-1243	268	9	see	see	VERB
fis-1243	268	10	appendix	appendix	NOUN
fis-1243	268	11	b	b	NOUN
fis-1243	268	12	)	)	PUNCT
fis-1243	268	13	characterized	characterize	VERB
fis-1243	268	14	by	by	ADP
fis-1243	268	15	yield	yield	NOUN
fis-1243	268	16	stress	stress	NOUN
fis-1243	268	17	y0	y0	PROPN
fis-1243	268	18	15	15	NUM
fis-1243	268	19	mpa	mpa	NOUN
fis-1243	268	20			NOUN
fis-1243	268	21	,	,	PUNCT
fis-1243	269	1	linear	linear	ADJ
fis-1243	269	2	kinematic	kinematic	NOUN
fis-1243	269	3	and	and	CCONJ
fis-1243	269	4	isotropic	isotropic	NOUN
fis-1243	269	5	with	with	ADP
fis-1243	269	6	hardening	harden	VERB
fis-1243	269	7	modulus	modulus	NOUN
fis-1243	269	8	k	k	PROPN
fis-1243	269	9	10	10	NUM
fis-1243	269	10	mpah	mpah	NOUN
fis-1243	270	1			NOUN
fis-1243	271	1	and	and	CCONJ
fis-1243	271	2	i	i	PRON
fis-1243	271	3	10	10	NUM
fis-1243	271	4	mpah	mpah	NOUN
fis-1243	271	5			NUM
fis-1243	271	6	respectively	respectively	ADV
fis-1243	271	7	.	.	PUNCT
fis-1243	272	1	in	in	ADP
fis-1243	272	2	fig	fig	NOUN
fis-1243	272	3	.	.	PUNCT
fis-1243	273	1	2	2	NUM
fis-1243	274	1	the	the	DET
fis-1243	274	2	numerical	numerical	ADJ
fis-1243	274	3	solution	solution	NOUN
fis-1243	274	4	,	,	PUNCT
fis-1243	274	5	expressed	express	VERB
fis-1243	274	6	in	in	ADP
fis-1243	274	7	terms	term	NOUN
fis-1243	274	8	of	of	ADP
fis-1243	274	9	the	the	DET
fis-1243	274	10	stress	stress	NOUN
fis-1243	274	11	-	-	PUNCT
fis-1243	274	12	strain	strain	NOUN
fis-1243	274	13	history	history	NOUN
fis-1243	274	14	,	,	PUNCT
fis-1243	274	15	proves	prove	VERB
fis-1243	274	16	to	to	PART
fis-1243	274	17	be	be	AUX
fis-1243	274	18	in	in	ADP
fis-1243	274	19	perfect	perfect	ADJ
fis-1243	274	20	agreement	agreement	NOUN
fis-1243	274	21	with	with	ADP
fis-1243	274	22	the	the	DET
fis-1243	274	23	analytical	analytical	ADJ
fis-1243	274	24	one	one	NOUN
fis-1243	274	25	(	(	PUNCT
fis-1243	274	26	for	for	ADP
fis-1243	274	27	example	example	NOUN
fis-1243	274	28	,	,	PUNCT
fis-1243	274	29	see	see	VERB
fis-1243	274	30	[	[	X
fis-1243	274	31	35	35	NUM
fis-1243	274	32	]	]	SYM
fis-1243	274	33	)	)	PUNCT
fis-1243	274	34	.	.	PUNCT
fis-1243	275	1	time	time	NOUN
fis-1243	275	2	unit	unit	NOUN
fis-1243	275	3	0	0	NUM
fis-1243	275	4	1	1	NUM
fis-1243	275	5	2	2	NUM
fis-1243	275	6	3	3	NUM
fis-1243	275	7	4	4	NUM
fis-1243	275	8	5	5	NUM
fis-1243	275	9	6	6	NUM
fis-1243	275	10	7	7	NUM
fis-1243	275	11	x	x	SYM
fis-1243	275	12	y0/	y0/	PROPN
fis-1243	275	13			PROPN
fis-1243	275	14	0	0	NUM
fis-1243	275	15	5	5	NUM
fis-1243	275	16	5	5	NUM
fis-1243	275	17	-5	-5	INTJ
fis-1243	275	18	-5	-5	INTJ
fis-1243	275	19	5	5	NUM
fis-1243	275	20	5	5	NUM
fis-1243	275	21	0	0	NUM
fis-1243	275	22	xy	xy	NOUN
fis-1243	275	23	y0/	y0/	NOUN
fis-1243	275	24			PROPN
fis-1243	275	25	0	0	NUM
fis-1243	275	26	0	0	NUM
fis-1243	275	27	5	5	NUM
fis-1243	275	28	5	5	NUM
fis-1243	275	29	-5	-5	INTJ
fis-1243	275	30	-5	-5	ADJ
fis-1243	275	31	0	0	NUM
fis-1243	275	32	0	0	NUM
fis-1243	275	33	table	table	NOUN
fis-1243	275	34	1	1	NUM
fis-1243	275	35	:	:	PUNCT
fis-1243	275	36	pointwise	pointwise	VERB
fis-1243	275	37	mixed	mixed	ADJ
fis-1243	275	38	stress	stress	NOUN
fis-1243	275	39	-	-	PUNCT
fis-1243	275	40	strain	strain	NOUN
fis-1243	275	41	test	test	NOUN
fis-1243	275	42	.	.	PUNCT
fis-1243	276	1	controlled	control	VERB
fis-1243	276	2	strain	strain	NOUN
fis-1243	276	3	history	history	NOUN
fis-1243	276	4	:	:	PUNCT
fis-1243	276	5	in	in	ADP
fis-1243	276	6	between	between	ADP
fis-1243	276	7	two	two	NUM
fis-1243	276	8	next	next	ADJ
fis-1243	276	9	time	time	NOUN
fis-1243	276	10	units	unit	NOUN
fis-1243	276	11	,	,	PUNCT
fis-1243	276	12	strain	strain	ADJ
fis-1243	276	13	components	component	NOUN
fis-1243	276	14	vary	vary	VERB
fis-1243	276	15	linearly	linearly	ADV
fis-1243	276	16	.	.	PUNCT
fis-1243	277	1	n.a	n.a	PROPN
fis-1243	277	2	.	.	PROPN
fis-1243	277	3	nodargi	nodargi	PROPN
fis-1243	277	4	et	et	PROPN
fis-1243	277	5	alii	alii	PROPN
fis-1243	277	6	,	,	PUNCT
fis-1243	277	7	frattura	frattura	PROPN
fis-1243	277	8	ed	ed	PROPN
fis-1243	277	9	integrità	integrità	PROPN
fis-1243	277	10	strutturale	strutturale	PROPN
fis-1243	277	11	,	,	PUNCT
fis-1243	277	12	29	29	NUM
fis-1243	277	13	(	(	PUNCT
fis-1243	277	14	2014	2014	NUM
fis-1243	277	15	)	)	PUNCT
fis-1243	277	16	111	111	NUM
fis-1243	277	17	-	-	SYM
fis-1243	277	18	127	127	NUM
fis-1243	277	19	;	;	PUNCT
fis-1243	277	20	doi	doi	NOUN
fis-1243	277	21	:	:	PUNCT
fis-1243	277	22	10.3221	10.3221	NUM
fis-1243	277	23	/	/	SYM
fis-1243	277	24	igf	igf	PROPN
fis-1243	277	25	-	-	PUNCT
fis-1243	277	26	esis.29.11	esis.29.11	PROPN
fis-1243	277	27	119	119	NUM
fis-1243	277	28	figure	figure	NOUN
fis-1243	277	29	2	2	NUM
fis-1243	277	30	:	:	PUNCT
fis-1243	277	31	pointwise	pointwise	VERB
fis-1243	277	32	mixed	mixed	ADJ
fis-1243	277	33	stress	stress	NOUN
fis-1243	277	34	-	-	PUNCT
fis-1243	277	35	strain	strain	NOUN
fis-1243	277	36	test	test	NOUN
fis-1243	277	37	.	.	PUNCT
fis-1243	278	1	comparison	comparison	NOUN
fis-1243	278	2	between	between	ADP
fis-1243	278	3	analytic	analytic	ADJ
fis-1243	278	4	and	and	CCONJ
fis-1243	278	5	numerical	numerical	ADJ
fis-1243	278	6	solution	solution	NOUN
fis-1243	278	7	for	for	ADP
fis-1243	278	8	von	von	PROPN
fis-1243	278	9	mises	mises	PROPN
fis-1243	278	10	yield	yield	VERB
fis-1243	278	11	surface	surface	NOUN
fis-1243	278	12	.	.	PUNCT
fis-1243	279	1	a	a	PRON
fis-1243	279	2	)	)	PUNCT
fis-1243	279	3	u	u	NOUN
fis-1243	279	4	c	c	NOUN
fis-1243	279	5	)	)	PUNCT
fis-1243	279	6	0	0	NUM
fis-1243	279	7	0.04	0.04	NUM
fis-1243	279	8	0.08	0.08	NUM
fis-1243	279	9	0.12	0.12	NUM
fis-1243	279	10	0.16	0.16	NUM
fis-1243	279	11	0	0	NUM
fis-1243	279	12	0.5	0.5	NUM
fis-1243	279	13	1	1	NUM
fis-1243	279	14	1.5	1.5	NUM
fis-1243	279	15	2	2	NUM
fis-1243	279	16	2.5	2.5	NUM
fis-1243	279	17	3	3	NUM
fis-1243	279	18	3.5	3.5	NUM
fis-1243	279	19	r	r	NOUN
fis-1243	279	20	ea	ea	NOUN
fis-1243	279	21	ct	ct	NUM
fis-1243	279	22	io	io	PROPN
fis-1243	280	1	n	n	PROPN
fis-1243	281	1	[	[	X
fis-1243	281	2	k	k	X
fis-1243	281	3	n	n	X
fis-1243	281	4	]	]	X
fis-1243	281	5	deflection	deflection	NOUN
fis-1243	281	6	[	[	X
fis-1243	281	7	mm	mm	X
fis-1243	281	8	]	]	X
fis-1243	281	9	present	present	ADJ
fis-1243	281	10	reference	reference	NOUN
fis-1243	281	11	b	b	NOUN
fis-1243	281	12	)	)	PUNCT
fis-1243	281	13	figure	figure	NOUN
fis-1243	281	14	3	3	NUM
fis-1243	281	15	:	:	PUNCT
fis-1243	281	16	stretching	stretch	VERB
fis-1243	281	17	of	of	ADP
fis-1243	281	18	a	a	DET
fis-1243	281	19	perforated	perforate	VERB
fis-1243	281	20	rectangular	rectangular	ADJ
fis-1243	281	21	plate	plate	NOUN
fis-1243	281	22	.	.	PUNCT
fis-1243	282	1	(	(	PUNCT
fis-1243	282	2	a	a	X
fis-1243	282	3	)	)	PUNCT
fis-1243	282	4	geometry	geometry	NOUN
fis-1243	282	5	,	,	PUNCT
fis-1243	282	6	boundary	boundary	ADJ
fis-1243	282	7	conditions	condition	NOUN
fis-1243	282	8	and	and	CCONJ
fis-1243	282	9	finite	finite	ADJ
fis-1243	282	10	element	element	NOUN
fis-1243	282	11	mesh	mesh	NOUN
fis-1243	282	12	;	;	PUNCT
fis-1243	282	13	(	(	PUNCT
fis-1243	282	14	b	b	X
fis-1243	282	15	)	)	PUNCT
fis-1243	282	16	comparison	comparison	NOUN
fis-1243	282	17	of	of	ADP
fis-1243	282	18	reaction	reaction	NOUN
fis-1243	282	19	-	-	PUNCT
fis-1243	282	20	deflection	deflection	NOUN
fis-1243	282	21	diagram	diagram	NOUN
fis-1243	282	22	between	between	ADP
fis-1243	282	23	the	the	DET
fis-1243	282	24	proposed	propose	VERB
fis-1243	282	25	algorithm	algorithm	NOUN
fis-1243	282	26	and	and	CCONJ
fis-1243	282	27	reference	reference	NOUN
fis-1243	282	28	solution	solution	NOUN
fis-1243	282	29	[	[	X
fis-1243	282	30	10	10	NUM
fis-1243	282	31	]	]	X
fis-1243	282	32	;	;	PUNCT
fis-1243	282	33	(	(	PUNCT
fis-1243	282	34	c	c	X
fis-1243	282	35	)	)	PUNCT
fis-1243	282	36	contour	contour	NOUN
fis-1243	282	37	plot	plot	NOUN
fis-1243	282	38	of	of	ADP
fis-1243	282	39	accumulated	accumulate	VERB
fis-1243	282	40	equivalent	equivalent	ADJ
fis-1243	282	41	plastic	plastic	NOUN
fis-1243	282	42	strain	strain	NOUN
fis-1243	282	43	pε	pε	NOUN
fis-1243	282	44	at	at	ADP
fis-1243	282	45	load	load	NOUN
fis-1243	282	46	level	level	NOUN
fis-1243	282	47	15	15	NUM
fis-1243	282	48	%	%	NOUN
fis-1243	282	49	,	,	PUNCT
fis-1243	282	50	45	45	NUM
fis-1243	282	51	%	%	NOUN
fis-1243	282	52	,	,	PUNCT
fis-1243	282	53	75	75	NUM
fis-1243	282	54	%	%	NOUN
fis-1243	282	55	,	,	PUNCT
fis-1243	282	56	100	100	NUM
fis-1243	282	57	%	%	NOUN
fis-1243	282	58	.	.	PUNCT
fis-1243	283	1	n.a	n.a	PROPN
fis-1243	283	2	.	.	PROPN
fis-1243	283	3	nodargi	nodargi	PROPN
fis-1243	283	4	et	et	PROPN
fis-1243	283	5	alii	alii	PROPN
fis-1243	283	6	,	,	PUNCT
fis-1243	283	7	frattura	frattura	PROPN
fis-1243	283	8	ed	ed	PROPN
fis-1243	283	9	integrità	integrità	PROPN
fis-1243	283	10	strutturale	strutturale	PROPN
fis-1243	283	11	,	,	PUNCT
fis-1243	283	12	29	29	NUM
fis-1243	283	13	(	(	PUNCT
fis-1243	283	14	2014	2014	NUM
fis-1243	283	15	)	)	PUNCT
fis-1243	283	16	111	111	NUM
fis-1243	283	17	-	-	SYM
fis-1243	283	18	127	127	NUM
fis-1243	283	19	;	;	PUNCT
fis-1243	283	20	doi	doi	NOUN
fis-1243	283	21	:	:	PUNCT
fis-1243	283	22	10.3221	10.3221	NUM
fis-1243	283	23	/	/	SYM
fis-1243	283	24	igf	igf	PROPN
fis-1243	283	25	-	-	PUNCT
fis-1243	283	26	esis.29.11	esis.29.11	PROPN
fis-1243	283	27	120	120	NUM
fis-1243	283	28	stretching	stretching	NOUN
fis-1243	283	29	of	of	ADP
fis-1243	283	30	a	a	DET
fis-1243	283	31	perforated	perforate	VERB
fis-1243	283	32	rectangular	rectangular	ADJ
fis-1243	283	33	plate	plate	NOUN
fis-1243	283	34	a	a	DET
fis-1243	283	35	classical	classical	ADJ
fis-1243	283	36	benchmark	benchmark	NOUN
fis-1243	283	37	for	for	ADP
fis-1243	283	38	the	the	DET
fis-1243	283	39	implementation	implementation	NOUN
fis-1243	283	40	of	of	ADP
fis-1243	283	41	plasticity	plasticity	NOUN
fis-1243	283	42	models	model	NOUN
fis-1243	283	43	is	be	AUX
fis-1243	283	44	the	the	DET
fis-1243	283	45	stretching	stretching	NOUN
fis-1243	283	46	of	of	ADP
fis-1243	283	47	a	a	DET
fis-1243	283	48	thin	thin	ADJ
fis-1243	283	49	perforated	perforated	ADJ
fis-1243	283	50	plate	plate	NOUN
fis-1243	283	51	along	along	ADP
fis-1243	283	52	its	its	PRON
fis-1243	283	53	longituindal	longituindal	ADJ
fis-1243	283	54	axis	axis	NOUN
fis-1243	283	55	(	(	PUNCT
fis-1243	283	56	see	see	VERB
fis-1243	283	57	[	[	X
fis-1243	283	58	10	10	NUM
fis-1243	283	59	]	]	PUNCT
fis-1243	283	60	,	,	PUNCT
fis-1243	283	61	for	for	ADP
fis-1243	283	62	instance	instance	NOUN
fis-1243	283	63	)	)	PUNCT
fis-1243	283	64	.	.	PUNCT
fis-1243	284	1	this	this	DET
fis-1243	284	2	problem	problem	NOUN
fis-1243	284	3	is	be	AUX
fis-1243	284	4	solved	solve	VERB
fis-1243	284	5	under	under	ADP
fis-1243	284	6	the	the	DET
fis-1243	284	7	usual	usual	ADJ
fis-1243	284	8	assumption	assumption	NOUN
fis-1243	284	9	of	of	ADP
fis-1243	284	10	plane	plane	NOUN
fis-1243	284	11	stress	stress	NOUN
fis-1243	284	12	,	,	PUNCT
fis-1243	284	13	which	which	PRON
fis-1243	284	14	is	be	AUX
fis-1243	284	15	straightforwardly	straightforwardly	ADV
fis-1243	284	16	imposed	impose	VERB
fis-1243	284	17	within	within	ADP
fis-1243	284	18	the	the	DET
fis-1243	284	19	present	present	ADJ
fis-1243	284	20	formulation	formulation	NOUN
fis-1243	284	21	.	.	PUNCT
fis-1243	285	1	to	to	ADP
fis-1243	285	2	this	this	DET
fis-1243	285	3	end	end	NOUN
fis-1243	285	4	,	,	PUNCT
fis-1243	285	5	it	it	PRON
fis-1243	285	6	suffices	suffice	VERB
fis-1243	285	7	to	to	PART
fis-1243	285	8	minimize	minimize	VERB
fis-1243	285	9	the	the	DET
fis-1243	285	10	incremental	incremental	ADJ
fis-1243	285	11	energy	energy	NOUN
fis-1243	285	12	functional	functional	ADJ
fis-1243	285	13	in	in	ADP
fis-1243	285	14	(	(	PUNCT
fis-1243	285	15	34	34	NUM
fis-1243	285	16	)	)	PUNCT
fis-1243	285	17	also	also	ADV
fis-1243	285	18	with	with	ADP
fis-1243	285	19	respect	respect	NOUN
fis-1243	285	20	to	to	ADP
fis-1243	285	21	the	the	DET
fis-1243	285	22	total	total	ADJ
fis-1243	285	23	strain	strain	NOUN
fis-1243	285	24	component	component	NOUN
fis-1243	285	25	normal	normal	ADJ
fis-1243	285	26	to	to	ADP
fis-1243	285	27	the	the	DET
fis-1243	285	28	stress	stress	NOUN
fis-1243	285	29	plane	plane	NOUN
fis-1243	285	30	.	.	PUNCT
fis-1243	286	1	the	the	DET
fis-1243	286	2	plate	plate	NOUN
fis-1243	286	3	is	be	AUX
fis-1243	286	4	20	20	NUM
fis-1243	286	5	mm	mm	NOUN
fis-1243	286	6	wide	wide	ADV
fis-1243	286	7	,	,	PUNCT
fis-1243	286	8	36	36	NUM
fis-1243	286	9	mm	mm	NOUN
fis-1243	286	10	high	high	ADJ
fis-1243	286	11	,	,	PUNCT
fis-1243	286	12	1	1	NUM
fis-1243	286	13	mm	mm	NOUN
fis-1243	286	14	thick	thick	ADJ
fis-1243	286	15	and	and	CCONJ
fis-1243	286	16	presents	present	VERB
fis-1243	286	17	a	a	DET
fis-1243	286	18	circular	circular	ADJ
fis-1243	286	19	hole	hole	NOUN
fis-1243	286	20	of	of	ADP
fis-1243	286	21	radius	radius	NOUN
fis-1243	286	22	10	10	NUM
fis-1243	286	23	mm	mm	NOUN
fis-1243	286	24	at	at	ADP
fis-1243	286	25	its	its	PRON
fis-1243	286	26	center	center	NOUN
fis-1243	286	27	.	.	PUNCT
fis-1243	287	1	the	the	DET
fis-1243	287	2	geometry	geometry	NOUN
fis-1243	287	3	and	and	CCONJ
fis-1243	287	4	boundary	boundary	ADJ
fis-1243	287	5	conditions	condition	NOUN
fis-1243	287	6	are	be	AUX
fis-1243	287	7	depicted	depict	VERB
fis-1243	287	8	in	in	ADP
fis-1243	287	9	fig	fig	NOUN
fis-1243	287	10	.	.	PUNCT
fis-1243	288	1	3(a	3(a	NUM
fis-1243	288	2	)	)	PUNCT
fis-1243	288	3	.	.	PUNCT
fis-1243	289	1	the	the	DET
fis-1243	289	2	material	material	NOUN
fis-1243	289	3	is	be	AUX
fis-1243	289	4	supposed	suppose	VERB
fis-1243	289	5	to	to	PART
fis-1243	289	6	be	be	AUX
fis-1243	289	7	isotropic	isotropic	ADJ
fis-1243	289	8	linear	linear	ADJ
fis-1243	289	9	elastic	elastic	NOUN
fis-1243	289	10	,	,	PUNCT
fis-1243	289	11	with	with	ADP
fis-1243	289	12	young	young	ADJ
fis-1243	289	13	modulus	modulus	NOUN
fis-1243	289	14	70	70	NUM
fis-1243	289	15	gpae	gpae	NOUN
fis-1243	289	16			PROPN
fis-1243	289	17	and	and	CCONJ
fis-1243	289	18	poisson	poisson	PROPN
fis-1243	289	19	coefficient	coefficient	NOUN
fis-1243	289	20	0.2	0.2	PROPN
fis-1243	289	21			PROPN
fis-1243	289	22	.	.	PUNCT
fis-1243	290	1	a	a	DET
fis-1243	290	2	von	von	PROPN
fis-1243	290	3	mises	mises	PROPN
fis-1243	290	4	yield	yield	VERB
fis-1243	290	5	criterion	criterion	NOUN
fis-1243	290	6	(	(	PUNCT
fis-1243	290	7	see	see	VERB
fis-1243	290	8	appendix	appendix	NOUN
fis-1243	290	9	b	b	NOUN
fis-1243	290	10	)	)	PUNCT
fis-1243	290	11	,	,	PUNCT
fis-1243	290	12	with	with	ADP
fis-1243	290	13	yield	yield	NOUN
fis-1243	290	14	stress	stress	NOUN
fis-1243	290	15	y0	y0	PROPN
fis-1243	290	16	0.243	0.243	NUM
fis-1243	290	17	gpa	gpa	NOUN
fis-1243	291	1			ADJ
fis-1243	291	2	and	and	CCONJ
fis-1243	291	3	linear	linear	ADJ
fis-1243	291	4	isotropic	isotropic	NOUN
fis-1243	291	5	hardening	hardening	NOUN
fis-1243	291	6	of	of	ADP
fis-1243	291	7	modulus	modulus	NOUN
fis-1243	291	8	i	i	PRON
fis-1243	291	9	0.2	0.2	NUM
fis-1243	291	10	gpah	gpah	NOUN
fis-1243	291	11			PROPN
fis-1243	291	12	,	,	PUNCT
fis-1243	291	13	is	be	AUX
fis-1243	291	14	adopted	adopt	VERB
fis-1243	291	15	.	.	PUNCT
fis-1243	292	1	because	because	SCONJ
fis-1243	292	2	of	of	ADP
fis-1243	292	3	the	the	DET
fis-1243	292	4	symmetry	symmetry	NOUN
fis-1243	292	5	,	,	PUNCT
fis-1243	292	6	only	only	ADV
fis-1243	292	7	one	one	NUM
fis-1243	292	8	quarter	quarter	NOUN
fis-1243	292	9	of	of	ADP
fis-1243	292	10	the	the	DET
fis-1243	292	11	plate	plate	NOUN
fis-1243	292	12	is	be	AUX
fis-1243	292	13	considered	consider	VERB
fis-1243	292	14	in	in	ADP
fis-1243	292	15	the	the	DET
fis-1243	292	16	analysis	analysis	NOUN
fis-1243	292	17	by	by	ADP
fis-1243	292	18	applying	apply	VERB
fis-1243	292	19	the	the	DET
fis-1243	292	20	appropriate	appropriate	ADJ
fis-1243	292	21	boundary	boundary	ADJ
fis-1243	292	22	condition	condition	NOUN
fis-1243	292	23	on	on	ADP
fis-1243	292	24	the	the	DET
fis-1243	292	25	symmetry	symmetry	NOUN
fis-1243	292	26	edges	edge	VERB
fis-1243	292	27	.	.	PUNCT
fis-1243	293	1	the	the	DET
fis-1243	293	2	finite	finite	PROPN
fis-1243	293	3	element	element	NOUN
fis-1243	293	4	mesh	mesh	NOUN
fis-1243	293	5	adopted	adopt	VERB
fis-1243	293	6	is	be	AUX
fis-1243	293	7	constituted	constitute	VERB
fis-1243	293	8	by	by	ADP
fis-1243	293	9	576	576	NUM
fis-1243	293	10	opt	opt	NOUN
fis-1243	293	11	triangular	triangular	NOUN
fis-1243	293	12	elements	element	NOUN
fis-1243	293	13	(	(	PUNCT
fis-1243	293	14	see	see	VERB
fis-1243	293	15	[	[	X
fis-1243	293	16	38	38	NUM
fis-1243	293	17	]	]	PUNCT
fis-1243	293	18	,	,	PUNCT
fis-1243	293	19	for	for	ADP
fis-1243	293	20	instance	instance	NOUN
fis-1243	293	21	)	)	PUNCT
fis-1243	293	22	,	,	PUNCT
fis-1243	293	23	with	with	ADP
fis-1243	293	24	a	a	DET
fis-1243	293	25	total	total	ADJ
fis-1243	293	26	number	number	NOUN
fis-1243	293	27	of	of	ADP
fis-1243	293	28	325	325	NUM
fis-1243	293	29	nodes	node	NOUN
fis-1243	293	30	.	.	PUNCT
fis-1243	294	1	the	the	DET
fis-1243	294	2	analysis	analysis	NOUN
fis-1243	294	3	is	be	AUX
fis-1243	294	4	conducted	conduct	VERB
fis-1243	294	5	under	under	ADP
fis-1243	294	6	displacement	displacement	ADJ
fis-1243	294	7	control	control	NOUN
fis-1243	294	8	,	,	PUNCT
fis-1243	294	9	assigning	assign	VERB
fis-1243	294	10	a	a	DET
fis-1243	294	11	vertical	vertical	ADJ
fis-1243	294	12	displacement	displacement	NOUN
fis-1243	294	13	on	on	ADP
fis-1243	294	14	the	the	DET
fis-1243	294	15	top	top	ADJ
fis-1243	294	16	constrained	constrain	VERB
fis-1243	294	17	edge	edge	NOUN
fis-1243	294	18	.	.	PUNCT
fis-1243	295	1	in	in	ADP
fis-1243	295	2	fig	fig	NOUN
fis-1243	295	3	.	.	PUNCT
fis-1243	296	1	3(b	3(b	NUM
fis-1243	296	2	)	)	PUNCT
fis-1243	296	3	the	the	DET
fis-1243	296	4	diagram	diagram	NOUN
fis-1243	296	5	of	of	ADP
fis-1243	296	6	the	the	DET
fis-1243	296	7	total	total	ADJ
fis-1243	296	8	reaction	reaction	NOUN
fis-1243	296	9	force	force	NOUN
fis-1243	296	10	versus	versus	ADP
fis-1243	296	11	the	the	DET
fis-1243	296	12	prescribed	prescribed	ADJ
fis-1243	296	13	displacement	displacement	NOUN
fis-1243	296	14	is	be	AUX
fis-1243	296	15	reported	report	VERB
fis-1243	296	16	.	.	PUNCT
fis-1243	297	1	the	the	DET
fis-1243	297	2	numerical	numerical	ADJ
fis-1243	297	3	solution	solution	NOUN
fis-1243	297	4	is	be	AUX
fis-1243	297	5	in	in	ADP
fis-1243	297	6	good	good	ADJ
fis-1243	297	7	agreement	agreement	NOUN
fis-1243	297	8	with	with	ADP
fis-1243	297	9	the	the	DET
fis-1243	297	10	reference	reference	NOUN
fis-1243	297	11	one	one	NUM
fis-1243	297	12	[	[	X
fis-1243	297	13	10	10	NUM
fis-1243	297	14	]	]	PUNCT
fis-1243	297	15	.	.	PUNCT
fis-1243	298	1	in	in	ADP
fis-1243	298	2	fig	fig	NOUN
fis-1243	298	3	.	.	PUNCT
fis-1243	299	1	3(c	3(c	NUM
fis-1243	299	2	)	)	PUNCT
fis-1243	299	3	the	the	DET
fis-1243	299	4	evolution	evolution	NOUN
fis-1243	299	5	of	of	ADP
fis-1243	299	6	the	the	DET
fis-1243	299	7	accumulated	accumulate	VERB
fis-1243	299	8	equivalent	equivalent	ADJ
fis-1243	299	9	plastic	plastic	NOUN
fis-1243	299	10	strain	strain	NOUN
fis-1243	299	11	p	p	NOUN
fis-1243	299	12	p	p	NOUN
fis-1243	299	13	0	0	NUM
fis-1243	299	14	2	2	NUM
fis-1243	299	15	3	3	NUM
fis-1243	299	16	t	t	NOUN
fis-1243	299	17	dt	dt	NOUN
fis-1243	299	18	ε	ε	PROPN
fis-1243	299	19	ε	ε	VERB
fis-1243	299	20	corresponding	correspond	VERB
fis-1243	299	21	to	to	ADP
fis-1243	299	22	different	different	ADJ
fis-1243	299	23	load	load	NOUN
fis-1243	299	24	levels	level	NOUN
fis-1243	299	25	is	be	AUX
fis-1243	299	26	shown	show	VERB
fis-1243	299	27	.	.	PUNCT
fis-1243	300	1	figure	figure	VERB
fis-1243	300	2	3	3	NUM
fis-1243	300	3	:	:	PUNCT
fis-1243	300	4	pinching	pinch	VERB
fis-1243	300	5	of	of	ADP
fis-1243	300	6	a	a	DET
fis-1243	300	7	cylindrical	cylindrical	ADJ
fis-1243	300	8	shell	shell	NOUN
fis-1243	300	9	with	with	ADP
fis-1243	300	10	diaphragms	diaphragm	NOUN
fis-1243	300	11	.	.	PUNCT
fis-1243	301	1	(	(	PUNCT
fis-1243	301	2	a	a	X
fis-1243	301	3	)	)	PUNCT
fis-1243	301	4	geometry	geometry	NOUN
fis-1243	301	5	,	,	PUNCT
fis-1243	301	6	boundary	boundary	ADJ
fis-1243	301	7	conditions	condition	NOUN
fis-1243	301	8	and	and	CCONJ
fis-1243	301	9	finite	finite	ADJ
fis-1243	301	10	element	element	NOUN
fis-1243	301	11	mesh	mesh	NOUN
fis-1243	301	12	;	;	PUNCT
fis-1243	301	13	(	(	PUNCT
fis-1243	301	14	b	b	X
fis-1243	301	15	)	)	PUNCT
fis-1243	301	16	deformed	deform	VERB
fis-1243	301	17	configuration	configuration	NOUN
fis-1243	301	18	;	;	PUNCT
fis-1243	301	19	(	(	PUNCT
fis-1243	301	20	c	c	X
fis-1243	301	21	)	)	PUNCT
fis-1243	301	22	comparison	comparison	NOUN
fis-1243	301	23	of	of	ADP
fis-1243	301	24	load	load	NOUN
fis-1243	301	25	-	-	PUNCT
fis-1243	301	26	displacement	displacement	ADJ
fis-1243	301	27	diagram	diagram	NOUN
fis-1243	301	28	between	between	ADP
fis-1243	301	29	the	the	DET
fis-1243	301	30	proposed	propose	VERB
fis-1243	301	31	algorithm	algorithm	NOUN
fis-1243	301	32	and	and	CCONJ
fis-1243	301	33	reference	reference	NOUN
fis-1243	301	34	solution	solution	NOUN
fis-1243	301	35	(	(	PUNCT
fis-1243	301	36	see	see	VERB
fis-1243	301	37	[	[	X
fis-1243	301	38	39	39	NUM
fis-1243	301	39	]	]	NUM
fis-1243	301	40	)	)	PUNCT
fis-1243	301	41	.	.	PUNCT
fis-1243	302	1	pinching	pinch	VERB
fis-1243	302	2	of	of	ADP
fis-1243	302	3	a	a	DET
fis-1243	302	4	cylindrical	cylindrical	ADJ
fis-1243	302	5	shell	shell	NOUN
fis-1243	302	6	with	with	ADP
fis-1243	302	7	diaphragms	diaphragm	NOUN
fis-1243	302	8	in	in	ADP
fis-1243	302	9	this	this	DET
fis-1243	302	10	section	section	NOUN
fis-1243	302	11	we	we	PRON
fis-1243	302	12	consider	consider	VERB
fis-1243	302	13	the	the	DET
fis-1243	302	14	application	application	NOUN
fis-1243	302	15	of	of	ADP
fis-1243	302	16	the	the	DET
fis-1243	302	17	proposed	propose	VERB
fis-1243	302	18	state	state	NOUN
fis-1243	302	19	update	update	NOUN
fis-1243	302	20	algorithm	algorithm	NOUN
fis-1243	302	21	to	to	ADP
fis-1243	302	22	a	a	DET
fis-1243	302	23	geometrically	geometrically	ADV
fis-1243	302	24	nonlinear	nonlinear	ADJ
fis-1243	302	25	problem	problem	NOUN
fis-1243	302	26	.	.	PUNCT
fis-1243	303	1	in	in	ADP
fis-1243	303	2	particular	particular	ADJ
fis-1243	303	3	,	,	PUNCT
fis-1243	303	4	we	we	PRON
fis-1243	303	5	refer	refer	VERB
fis-1243	303	6	to	to	ADP
fis-1243	303	7	the	the	DET
fis-1243	303	8	problem	problem	NOUN
fis-1243	303	9	of	of	ADP
fis-1243	303	10	a	a	DET
fis-1243	303	11	cylindrical	cylindrical	ADJ
fis-1243	303	12	shell	shell	NOUN
fis-1243	303	13	,	,	PUNCT
fis-1243	303	14	constrained	constrain	VERB
fis-1243	303	15	by	by	ADP
fis-1243	303	16	rigid	rigid	ADJ
fis-1243	303	17	diaphragms	diaphragm	NOUN
fis-1243	303	18	at	at	ADP
fis-1243	303	19	end	end	NOUN
fis-1243	303	20	-	-	PUNCT
fis-1243	303	21	sections	section	NOUN
fis-1243	303	22	,	,	PUNCT
fis-1243	303	23	and	and	CCONJ
fis-1243	303	24	pinched	pinch	VERB
fis-1243	303	25	by	by	ADP
fis-1243	303	26	concentrated	concentrated	ADJ
fis-1243	303	27	forces	force	NOUN
fis-1243	303	28	in	in	ADP
fis-1243	303	29	the	the	DET
fis-1243	303	30	mid	mid	NOUN
fis-1243	303	31	-	-	NOUN
fis-1243	303	32	section	section	NOUN
fis-1243	303	33	[	[	X
fis-1243	303	34	39	39	NUM
fis-1243	303	35	]	]	PUNCT
fis-1243	303	36	.	.	PUNCT
fis-1243	304	1	the	the	DET
fis-1243	304	2	cylinder	cylinder	NOUN
fis-1243	304	3	has	have	VERB
fis-1243	304	4	radius	radius	NOUN
fis-1243	304	5	of	of	ADP
fis-1243	304	6	300	300	NUM
fis-1243	304	7	consistent	consistent	ADJ
fis-1243	304	8	units	unit	NOUN
fis-1243	304	9	(	(	PUNCT
fis-1243	304	10	c.u	c.u	PROPN
fis-1243	304	11	.	.	PROPN
fis-1243	304	12	)	)	PUNCT
fis-1243	304	13	,	,	PUNCT
fis-1243	304	14	while	while	SCONJ
fis-1243	304	15	its	its	PRON
fis-1243	304	16	total	total	ADJ
fis-1243	304	17	length	length	NOUN
fis-1243	304	18	is	be	AUX
fis-1243	304	19	of	of	ADP
fis-1243	304	20	600	600	NUM
fis-1243	304	21	c.u	c.u	NOUN
fis-1243	304	22	.	.	PUNCT
fis-1243	305	1	the	the	DET
fis-1243	305	2	initial	initial	ADJ
fis-1243	305	3	shell	shell	NOUN
fis-1243	305	4	thickness	thickness	NOUN
fis-1243	305	5	is	be	AUX
fis-1243	305	6	3	3	NUM
fis-1243	305	7	c.u	c.u	PROPN
fis-1243	305	8	.	.	PROPN
fis-1243	305	9	fig	fig	PROPN
fis-1243	305	10	.	.	PUNCT
fis-1243	306	1	4(a	4(a	NUM
fis-1243	306	2	)	)	PUNCT
fis-1243	306	3	shows	show	VERB
fis-1243	306	4	the	the	DET
fis-1243	306	5	geometry	geometry	NOUN
fis-1243	306	6	and	and	CCONJ
fis-1243	306	7	boundary	boundary	ADJ
fis-1243	306	8	conditions	condition	NOUN
fis-1243	306	9	(	(	PUNCT
fis-1243	306	10	we	we	PRON
fis-1243	306	11	assume	assume	VERB
fis-1243	306	12	that	that	SCONJ
fis-1243	306	13	the	the	DET
fis-1243	306	14	presence	presence	NOUN
fis-1243	306	15	of	of	ADP
fis-1243	306	16	rigid	rigid	ADJ
fis-1243	306	17	diaphragms	diaphragm	NOUN
fis-1243	306	18	constrains	constrain	VERB
fis-1243	306	19	the	the	DET
fis-1243	306	20	in	in	ADP
fis-1243	306	21	-	-	PUNCT
fis-1243	306	22	plane	plane	NOUN
fis-1243	306	23	degrees	degree	NOUN
fis-1243	306	24	of	of	ADP
fis-1243	306	25	freedom	freedom	NOUN
fis-1243	306	26	of	of	ADP
fis-1243	306	27	the	the	DET
fis-1243	306	28	cylinder	cylinder	NOUN
fis-1243	306	29	end	end	NOUN
fis-1243	306	30	sections	section	NOUN
fis-1243	306	31	)	)	PUNCT
fis-1243	306	32	.	.	PUNCT
fis-1243	307	1	we	we	PRON
fis-1243	307	2	assume	assume	VERB
fis-1243	307	3	the	the	DET
fis-1243	307	4	material	material	NOUN
fis-1243	307	5	to	to	PART
fis-1243	307	6	be	be	AUX
fis-1243	307	7	isotropic	isotropic	ADJ
fis-1243	307	8	linear	linear	ADJ
fis-1243	307	9	elastic	elastic	NOUN
fis-1243	307	10	,	,	PUNCT
fis-1243	307	11	with	with	ADP
fis-1243	307	12	young	young	ADJ
fis-1243	307	13	modulus	modulus	ADJ
fis-1243	307	14	3000e	3000e	NUM
fis-1243	307	15			PROPN
fis-1243	307	16	c.u	c.u	PROPN
fis-1243	307	17	.	.	PROPN
fis-1243	307	18	and	and	CCONJ
fis-1243	307	19	poisson	poisson	PROPN
fis-1243	307	20	coefficient	coefficient	NOUN
fis-1243	307	21	0.3	0.3	X
fis-1243	308	1			INTJ
fis-1243	308	2	.	.	PUNCT
fis-1243	309	1	a	a	DET
fis-1243	309	2	von	von	PROPN
fis-1243	309	3	mises	mises	PROPN
fis-1243	309	4	yield	yield	VERB
fis-1243	309	5	criterion	criterion	NOUN
fis-1243	309	6	(	(	PUNCT
fis-1243	309	7	see	see	VERB
fis-1243	309	8	appendix	appendix	NOUN
fis-1243	309	9	b	b	NOUN
fis-1243	309	10	)	)	PUNCT
fis-1243	309	11	,	,	PUNCT
fis-1243	309	12	with	with	ADP
fis-1243	309	13	yield	yield	NOUN
fis-1243	309	14	stress	stress	NOUN
fis-1243	309	15	y0	y0	PROPN
fis-1243	309	16	24.3	24.3	NUM
fis-1243	309	17			PROPN
fis-1243	309	18	c.u	c.u	PROPN
fis-1243	309	19	.	.	PROPN
fis-1243	309	20	and	and	CCONJ
fis-1243	309	21	linear	linear	PROPN
fis-1243	309	22	isotropic	isotropic	NOUN
fis-1243	309	23	hardening	hardening	NOUN
fis-1243	309	24	of	of	ADP
fis-1243	309	25	modulus	modulus	NOUN
fis-1243	309	26	i	i	PROPN
fis-1243	309	27	300h	300h	PROPN
fis-1243	309	28			PROPN
fis-1243	309	29	c.u	c.u	PROPN
fis-1243	309	30	.	.	PROPN
fis-1243	309	31	,	,	PUNCT
fis-1243	309	32	is	be	AUX
fis-1243	309	33	adopted	adopt	VERB
fis-1243	309	34	,	,	PUNCT
fis-1243	309	35	under	under	ADP
fis-1243	309	36	plane	plane	NOUN
fis-1243	309	37	-	-	PUNCT
fis-1243	309	38	stress	stress	NOUN
fis-1243	309	39	assumption	assumption	NOUN
fis-1243	309	40	.	.	PUNCT
fis-1243	310	1	due	due	ADP
fis-1243	310	2	to	to	ADP
fis-1243	310	3	symmetry	symmetry	NOUN
fis-1243	310	4	,	,	PUNCT
fis-1243	310	5	only	only	ADV
fis-1243	310	6	one	one	NUM
fis-1243	310	7	-	-	PUNCT
fis-1243	310	8	eighth	eighth	NOUN
fis-1243	310	9	of	of	ADP
fis-1243	310	10	the	the	DET
fis-1243	310	11	cylinder	cylinder	NOUN
fis-1243	310	12	is	be	AUX
fis-1243	310	13	considered	consider	VERB
fis-1243	310	14	in	in	ADP
fis-1243	310	15	the	the	DET
fis-1243	310	16	analysis	analysis	NOUN
fis-1243	310	17	by	by	ADP
fis-1243	310	18	applying	apply	VERB
fis-1243	310	19	appropriate	appropriate	ADJ
fis-1243	310	20	boundary	boundary	ADJ
fis-1243	310	21	conditions	condition	NOUN
fis-1243	310	22	on	on	ADP
fis-1243	310	23	the	the	DET
fis-1243	310	24	symmetry	symmetry	NOUN
fis-1243	310	25	edges	edge	VERB
fis-1243	310	26	.	.	PUNCT
fis-1243	311	1	the	the	DET
fis-1243	311	2	geometrical	geometrical	ADJ
fis-1243	311	3	nonlinearity	nonlinearity	NOUN
fis-1243	311	4	is	be	AUX
fis-1243	311	5	treated	treat	VERB
fis-1243	311	6	by	by	ADP
fis-1243	311	7	a	a	DET
fis-1243	311	8	corotational	corotational	ADJ
fis-1243	311	9	approach	approach	NOUN
fis-1243	311	10	[	[	X
fis-1243	311	11	40	40	NUM
fis-1243	311	12	,	,	PUNCT
fis-1243	311	13	41	41	NUM
fis-1243	311	14	]	]	PUNCT
fis-1243	311	15	,	,	PUNCT
fis-1243	311	16	and	and	CCONJ
fis-1243	311	17	the	the	DET
fis-1243	311	18	n.a	n.a	PROPN
fis-1243	311	19	.	.	PROPN
fis-1243	311	20	nodargi	nodargi	PROPN
fis-1243	311	21	et	et	PROPN
fis-1243	311	22	alii	alii	PROPN
fis-1243	311	23	,	,	PUNCT
fis-1243	311	24	frattura	frattura	PROPN
fis-1243	311	25	ed	ed	PROPN
fis-1243	311	26	integrità	integrità	PROPN
fis-1243	311	27	strutturale	strutturale	PROPN
fis-1243	311	28	,	,	PUNCT
fis-1243	311	29	29	29	NUM
fis-1243	311	30	(	(	PUNCT
fis-1243	311	31	2014	2014	NUM
fis-1243	311	32	)	)	PUNCT
fis-1243	311	33	111	111	NUM
fis-1243	311	34	-	-	SYM
fis-1243	311	35	127	127	NUM
fis-1243	311	36	;	;	PUNCT
fis-1243	311	37	doi	doi	NOUN
fis-1243	311	38	:	:	PUNCT
fis-1243	311	39	10.3221	10.3221	NUM
fis-1243	311	40	/	/	SYM
fis-1243	311	41	igf	igf	PROPN
fis-1243	311	42	-	-	PUNCT
fis-1243	311	43	esis.29.11	esis.29.11	PROPN
fis-1243	311	44	121	121	NUM
fis-1243	311	45	finite	finite	NOUN
fis-1243	311	46	element	element	NOUN
fis-1243	311	47	mesh	mesh	NOUN
fis-1243	311	48	is	be	AUX
fis-1243	311	49	constituted	constitute	VERB
fis-1243	311	50	by	by	ADP
fis-1243	311	51	24×24	24×24	NUM
fis-1243	311	52	opt	opt	NOUN
fis-1243	311	53	-	-	PUNCT
fis-1243	311	54	dkt	dkt	VERB
fis-1243	311	55	triangular	triangular	NOUN
fis-1243	311	56	elements	element	NOUN
fis-1243	311	57	(	(	PUNCT
fis-1243	311	58	see	see	VERB
fis-1243	311	59	[	[	X
fis-1243	311	60	38	38	NUM
fis-1243	311	61	,	,	PUNCT
fis-1243	311	62	42	42	NUM
fis-1243	311	63	]	]	PUNCT
fis-1243	311	64	,	,	PUNCT
fis-1243	311	65	for	for	ADP
fis-1243	311	66	instance	instance	NOUN
fis-1243	311	67	)	)	PUNCT
fis-1243	311	68	.	.	PUNCT
fis-1243	312	1	the	the	DET
fis-1243	312	2	analysis	analysis	NOUN
fis-1243	312	3	is	be	AUX
fis-1243	312	4	conducted	conduct	VERB
fis-1243	312	5	under	under	ADP
fis-1243	312	6	displacement	displacement	ADJ
fis-1243	312	7	control	control	NOUN
fis-1243	312	8	,	,	PUNCT
fis-1243	312	9	up	up	ADP
fis-1243	312	10	to	to	ADP
fis-1243	312	11	a	a	DET
fis-1243	312	12	total	total	ADJ
fis-1243	312	13	displacement	displacement	NOUN
fis-1243	312	14	of	of	ADP
fis-1243	312	15	300	300	NUM
fis-1243	312	16	c.u	c.u	NOUN
fis-1243	312	17	.	.	PROPN
fis-1243	312	18	,	,	PUNCT
fis-1243	312	19	coinciding	coincide	VERB
fis-1243	312	20	with	with	ADP
fis-1243	312	21	the	the	DET
fis-1243	312	22	cylinder	cylinder	NOUN
fis-1243	312	23	radius	radius	NOUN
fis-1243	312	24	.	.	PUNCT
fis-1243	313	1	fig	fig	NOUN
fis-1243	313	2	.	.	PUNCT
fis-1243	314	1	4(b	4(b	NUM
fis-1243	314	2	)	)	PUNCT
fis-1243	314	3	depicts	depict	VERB
fis-1243	314	4	the	the	DET
fis-1243	314	5	deformed	deform	VERB
fis-1243	314	6	configuration	configuration	NOUN
fis-1243	314	7	at	at	ADP
fis-1243	314	8	the	the	DET
fis-1243	314	9	final	final	ADJ
fis-1243	314	10	load	load	NOUN
fis-1243	314	11	level	level	NOUN
fis-1243	314	12	,	,	PUNCT
fis-1243	314	13	while	while	SCONJ
fis-1243	314	14	in	in	ADP
fis-1243	314	15	fig	fig	NOUN
fis-1243	314	16	.	.	PUNCT
fis-1243	315	1	4(c	4(c	NUM
fis-1243	315	2	)	)	PUNCT
fis-1243	315	3	load	load	NOUN
fis-1243	315	4	-	-	PUNCT
fis-1243	315	5	displacement	displacement	NOUN
fis-1243	315	6	diagram	diagram	NOUN
fis-1243	315	7	is	be	AUX
fis-1243	315	8	plotted	plot	VERB
fis-1243	315	9	.	.	PUNCT
fis-1243	316	1	the	the	DET
fis-1243	316	2	numerical	numerical	ADJ
fis-1243	316	3	solution	solution	NOUN
fis-1243	316	4	appears	appear	VERB
fis-1243	316	5	to	to	PART
fis-1243	316	6	be	be	AUX
fis-1243	316	7	in	in	ADP
fis-1243	316	8	good	good	ADJ
fis-1243	316	9	agreement	agreement	NOUN
fis-1243	316	10	with	with	ADP
fis-1243	316	11	the	the	DET
fis-1243	316	12	reference	reference	NOUN
fis-1243	316	13	one	one	NUM
fis-1243	317	1	[	[	X
fis-1243	317	2	39	39	NUM
fis-1243	317	3	]	]	PUNCT
fis-1243	317	4	.	.	PUNCT
fis-1243	318	1	the	the	DET
fis-1243	318	2	slight	slight	ADJ
fis-1243	318	3	difference	difference	NOUN
fis-1243	318	4	at	at	ADP
fis-1243	318	5	high	high	ADJ
fis-1243	318	6	displacement	displacement	ADJ
fis-1243	318	7	values	value	NOUN
fis-1243	318	8	may	may	AUX
fis-1243	318	9	be	be	AUX
fis-1243	318	10	attributed	attribute	VERB
fis-1243	318	11	to	to	ADP
fis-1243	318	12	different	different	ADJ
fis-1243	318	13	finite	finite	ADJ
fis-1243	318	14	-	-	ADJ
fis-1243	318	15	element	element	ADJ
fis-1243	318	16	types	type	NOUN
fis-1243	318	17	used	use	VERB
fis-1243	318	18	in	in	ADP
fis-1243	318	19	the	the	DET
fis-1243	318	20	computations	computation	NOUN
fis-1243	318	21	.	.	PUNCT
fis-1243	319	1	conclusions	conclusion	NOUN
fis-1243	319	2	new	new	ADJ
fis-1243	319	3	state	state	NOUN
fis-1243	319	4	update	update	NOUN
fis-1243	319	5	algorithm	algorithm	NOUN
fis-1243	319	6	for	for	ADP
fis-1243	319	7	small	small	ADJ
fis-1243	319	8	-	-	PUNCT
fis-1243	319	9	strain	strain	NOUN
fis-1243	319	10	associative	associative	ADJ
fis-1243	319	11	elastic	elastic	ADJ
fis-1243	319	12	-	-	PUNCT
fis-1243	319	13	plastic	plastic	NOUN
fis-1243	319	14	constitutive	constitutive	ADJ
fis-1243	319	15	models	model	NOUN
fis-1243	319	16	was	be	AUX
fis-1243	319	17	presented	present	VERB
fis-1243	319	18	.	.	PUNCT
fis-1243	320	1	it	it	PRON
fis-1243	320	2	is	be	AUX
fis-1243	320	3	set	set	VERB
fis-1243	320	4	within	within	ADP
fis-1243	320	5	the	the	DET
fis-1243	320	6	theoretical	theoretical	ADJ
fis-1243	320	7	framework	framework	NOUN
fis-1243	320	8	of	of	ADP
fis-1243	320	9	generalized	generalized	ADJ
fis-1243	320	10	standard	standard	ADJ
fis-1243	320	11	materials	material	NOUN
fis-1243	320	12	with	with	ADP
fis-1243	320	13	internal	internal	ADJ
fis-1243	320	14	variables	variable	NOUN
fis-1243	320	15	,	,	PUNCT
fis-1243	320	16	under	under	ADP
fis-1243	320	17	the	the	DET
fis-1243	320	18	assumption	assumption	NOUN
fis-1243	320	19	of	of	ADP
fis-1243	320	20	rate	rate	NOUN
fis-1243	320	21	independence	independence	NOUN
fis-1243	320	22	.	.	PUNCT
fis-1243	321	1	the	the	DET
fis-1243	321	2	evolution	evolution	NOUN
fis-1243	321	3	of	of	ADP
fis-1243	321	4	internal	internal	ADJ
fis-1243	321	5	variables	variable	NOUN
fis-1243	321	6	in	in	ADP
fis-1243	321	7	a	a	DET
fis-1243	321	8	finite	finite	ADJ
fis-1243	321	9	time	time	NOUN
fis-1243	321	10	step	step	NOUN
fis-1243	321	11	obeys	obey	VERB
fis-1243	321	12	an	an	DET
fis-1243	321	13	incremental	incremental	ADJ
fis-1243	321	14	minimization	minimization	NOUN
fis-1243	321	15	principle	principle	NOUN
fis-1243	321	16	involving	involve	VERB
fis-1243	321	17	a	a	DET
fis-1243	321	18	suitable	suitable	ADJ
fis-1243	321	19	convex	convex	NOUN
fis-1243	321	20	functional	functional	ADJ
fis-1243	321	21	,	,	PUNCT
fis-1243	321	22	given	give	VERB
fis-1243	321	23	by	by	ADP
fis-1243	321	24	the	the	DET
fis-1243	321	25	sum	sum	NOUN
fis-1243	321	26	of	of	ADP
fis-1243	321	27	internal	internal	ADJ
fis-1243	321	28	energy	energy	NOUN
fis-1243	321	29	and	and	CCONJ
fis-1243	321	30	dissipation	dissipation	NOUN
fis-1243	321	31	function	function	NOUN
fis-1243	321	32	.	.	PUNCT
fis-1243	322	1	an	an	DET
fis-1243	322	2	efficient	efficient	ADJ
fis-1243	322	3	strategy	strategy	NOUN
fis-1243	322	4	to	to	PART
fis-1243	322	5	compute	compute	VERB
fis-1243	322	6	the	the	DET
fis-1243	322	7	latter	latter	ADJ
fis-1243	322	8	and	and	CCONJ
fis-1243	322	9	its	its	PRON
fis-1243	322	10	gradient	gradient	NOUN
fis-1243	322	11	and	and	CCONJ
fis-1243	322	12	hessian	hessian	NOUN
fis-1243	322	13	is	be	AUX
fis-1243	322	14	proposed	propose	VERB
fis-1243	322	15	,	,	PUNCT
fis-1243	322	16	using	use	VERB
fis-1243	322	17	haigh	haigh	NOUN
fis-1243	322	18	-	-	PUNCT
fis-1243	322	19	westergaard	westergaard	NOUN
fis-1243	322	20	stress	stress	NOUN
fis-1243	322	21	invariants	invariant	NOUN
fis-1243	322	22	,	,	PUNCT
fis-1243	322	23	for	for	ADP
fis-1243	322	24	an	an	DET
fis-1243	322	25	ample	ample	ADJ
fis-1243	322	26	class	class	NOUN
fis-1243	322	27	of	of	ADP
fis-1243	322	28	isotropic	isotropic	ADJ
fis-1243	322	29	deviatoric	deviatoric	ADJ
fis-1243	322	30	yield	yield	NOUN
fis-1243	322	31	functions	function	NOUN
fis-1243	322	32	with	with	ADP
fis-1243	322	33	linear	linear	ADJ
fis-1243	322	34	or	or	CCONJ
fis-1243	322	35	nonlinear	nonlinear	ADJ
fis-1243	322	36	strain	strain	NOUN
fis-1243	322	37	-	-	PUNCT
fis-1243	322	38	hardening	hardening	NOUN
fis-1243	322	39	.	.	PUNCT
fis-1243	323	1	numerical	numerical	ADJ
fis-1243	323	2	results	result	NOUN
fis-1243	323	3	proved	prove	VERB
fis-1243	323	4	the	the	DET
fis-1243	323	5	effectiveness	effectiveness	NOUN
fis-1243	323	6	and	and	CCONJ
fis-1243	323	7	the	the	DET
fis-1243	323	8	versatility	versatility	NOUN
fis-1243	323	9	of	of	ADP
fis-1243	323	10	the	the	DET
fis-1243	323	11	methodology	methodology	NOUN
fis-1243	323	12	on	on	ADP
fis-1243	323	13	a	a	DET
fis-1243	323	14	single	single	ADJ
fis-1243	323	15	material	material	NOUN
fis-1243	323	16	point	point	NOUN
fis-1243	323	17	state	state	NOUN
fis-1243	323	18	update	update	NOUN
fis-1243	323	19	,	,	PUNCT
fis-1243	323	20	for	for	ADP
fis-1243	323	21	a	a	DET
fis-1243	323	22	given	give	VERB
fis-1243	323	23	loading	loading	NOUN
fis-1243	323	24	history	history	NOUN
fis-1243	323	25	under	under	ADP
fis-1243	323	26	mixed	mixed	ADJ
fis-1243	323	27	stress	stress	NOUN
fis-1243	323	28	/	/	SYM
fis-1243	323	29	strain	strain	NOUN
fis-1243	323	30	control	control	NOUN
fis-1243	323	31	,	,	PUNCT
fis-1243	323	32	and	and	CCONJ
fis-1243	323	33	showed	show	VERB
fis-1243	323	34	its	its	PRON
fis-1243	323	35	reliability	reliability	NOUN
fis-1243	323	36	as	as	ADP
fis-1243	323	37	an	an	DET
fis-1243	323	38	efficient	efficient	ADJ
fis-1243	323	39	constitutive	constitutive	NOUN
fis-1243	323	40	solver	solver	NOUN
fis-1243	323	41	in	in	ADP
fis-1243	323	42	conjunction	conjunction	NOUN
fis-1243	323	43	with	with	ADP
fis-1243	323	44	finite	finite	ADJ
fis-1243	323	45	element	element	NOUN
fis-1243	323	46	simulations	simulation	NOUN
fis-1243	323	47	.	.	PUNCT
fis-1243	324	1	the	the	DET
fis-1243	324	2	proposed	propose	VERB
fis-1243	324	3	algorithm	algorithm	NOUN
fis-1243	324	4	turned	turn	VERB
fis-1243	324	5	out	out	ADP
fis-1243	324	6	to	to	PART
fis-1243	324	7	be	be	AUX
fis-1243	324	8	complementary	complementary	ADJ
fis-1243	324	9	to	to	ADP
fis-1243	324	10	the	the	DET
fis-1243	324	11	classical	classical	ADJ
fis-1243	324	12	return	return	NOUN
fis-1243	324	13	mapping	mapping	NOUN
fis-1243	324	14	strategy	strategy	NOUN
fis-1243	324	15	,	,	PUNCT
fis-1243	324	16	because	because	SCONJ
fis-1243	324	17	no	no	DET
fis-1243	324	18	convergence	convergence	NOUN
fis-1243	324	19	difficulties	difficulty	NOUN
fis-1243	324	20	arise	arise	VERB
fis-1243	324	21	if	if	SCONJ
fis-1243	324	22	the	the	DET
fis-1243	324	23	stress	stress	NOUN
fis-1243	324	24	is	be	AUX
fis-1243	324	25	close	close	ADJ
fis-1243	324	26	to	to	ADP
fis-1243	324	27	points	point	NOUN
fis-1243	324	28	of	of	ADP
fis-1243	324	29	the	the	DET
fis-1243	324	30	yield	yield	NOUN
fis-1243	324	31	surface	surface	NOUN
fis-1243	324	32	with	with	ADP
fis-1243	324	33	high	high	ADJ
fis-1243	324	34	curvature	curvature	NOUN
fis-1243	324	35	.	.	PUNCT
fis-1243	325	1	hence	hence	ADV
fis-1243	325	2	it	it	PRON
fis-1243	325	3	may	may	AUX
fis-1243	325	4	improve	improve	VERB
fis-1243	325	5	the	the	DET
fis-1243	325	6	robustness	robustness	NOUN
fis-1243	325	7	of	of	ADP
fis-1243	325	8	available	available	ADJ
fis-1243	325	9	plastic	plastic	NOUN
fis-1243	325	10	solvers	solver	NOUN
fis-1243	325	11	through	through	ADP
fis-1243	325	12	a	a	DET
fis-1243	325	13	hybrid	hybrid	ADJ
fis-1243	325	14	approach	approach	NOUN
fis-1243	325	15	.	.	PUNCT
fis-1243	326	1	future	future	ADJ
fis-1243	326	2	work	work	NOUN
fis-1243	326	3	will	will	AUX
fis-1243	326	4	involve	involve	VERB
fis-1243	326	5	the	the	DET
fis-1243	326	6	modeling	modeling	NOUN
fis-1243	326	7	of	of	ADP
fis-1243	326	8	pressure	pressure	NOUN
fis-1243	326	9	-	-	PUNCT
fis-1243	326	10	sensitive	sensitive	ADJ
fis-1243	326	11	yield	yield	NOUN
fis-1243	326	12	surfaces	surface	NOUN
fis-1243	326	13	and	and	CCONJ
fis-1243	326	14	non	non	ADJ
fis-1243	326	15	-	-	ADJ
fis-1243	326	16	associative	associative	ADJ
fis-1243	326	17	plastic	plastic	NOUN
fis-1243	326	18	flow	flow	NOUN
fis-1243	326	19	rules	rule	NOUN
fis-1243	326	20	,	,	PUNCT
fis-1243	326	21	and	and	CCONJ
fis-1243	326	22	the	the	DET
fis-1243	326	23	testing	testing	NOUN
fis-1243	326	24	of	of	ADP
fis-1243	326	25	the	the	DET
fis-1243	326	26	solution	solution	NOUN
fis-1243	326	27	algorithm	algorithm	NOUN
fis-1243	326	28	on	on	ADP
fis-1243	326	29	extensive	extensive	ADJ
fis-1243	326	30	large	large	ADJ
fis-1243	326	31	-	-	PUNCT
fis-1243	326	32	scale	scale	NOUN
fis-1243	326	33	fe	fe	NOUN
fis-1243	326	34	simulations	simulation	NOUN
fis-1243	326	35	of	of	ADP
fis-1243	326	36	engineering	engineering	NOUN
fis-1243	326	37	-	-	PUNCT
fis-1243	326	38	relevant	relevant	ADJ
fis-1243	326	39	problems	problem	NOUN
fis-1243	326	40	.	.	PUNCT
fis-1243	327	1	acknowledgment	acknowledgment	NOUN
fis-1243	327	2	he	he	PRON
fis-1243	327	3	financial	financial	ADJ
fis-1243	327	4	support	support	NOUN
fis-1243	327	5	of	of	ADP
fis-1243	327	6	prin	prin	PROPN
fis-1243	327	7	2010	2010	NUM
fis-1243	327	8	-	-	SYM
fis-1243	327	9	11	11	NUM
fis-1243	327	10	,	,	PUNCT
fis-1243	327	11	project	project	NOUN
fis-1243	327	12	“	"	PUNCT
fis-1243	327	13	advanced	advanced	ADJ
fis-1243	327	14	mechanical	mechanical	ADJ
fis-1243	327	15	modeling	modeling	NOUN
fis-1243	327	16	of	of	ADP
fis-1243	327	17	new	new	ADJ
fis-1243	327	18	materials	material	NOUN
fis-1243	327	19	and	and	CCONJ
fis-1243	327	20	technologies	technology	NOUN
fis-1243	327	21	for	for	ADP
fis-1243	327	22	the	the	DET
fis-1243	327	23	solution	solution	NOUN
fis-1243	327	24	of	of	ADP
fis-1243	327	25	2020	2020	NUM
fis-1243	327	26	european	european	ADJ
fis-1243	327	27	challenges	challenge	NOUN
fis-1243	327	28	”	"	PUNCT
fis-1243	327	29	cup	cup	NOUN
fis-1243	327	30	n.	n.	PROPN
fis-1243	327	31	f11j12000210001	f11j12000210001	PROPN
fis-1243	327	32	is	be	AUX
fis-1243	327	33	gratefully	gratefully	ADV
fis-1243	327	34	acknowledged	acknowledge	VERB
fis-1243	327	35	.	.	PUNCT
fis-1243	328	1	references	reference	NOUN
fis-1243	328	2	[	[	X
fis-1243	328	3	1	1	NUM
fis-1243	328	4	]	]	PUNCT
fis-1243	328	5	wilkins	wilkin	NOUN
fis-1243	328	6	,	,	PUNCT
fis-1243	328	7	m.l	m.l	PROPN
fis-1243	328	8	.	.	PROPN
fis-1243	328	9	,	,	PUNCT
fis-1243	328	10	calculation	calculation	NOUN
fis-1243	328	11	of	of	ADP
fis-1243	328	12	elastic	elastic	ADJ
fis-1243	328	13	-	-	PUNCT
fis-1243	328	14	plastic	plastic	NOUN
fis-1243	328	15	flow	flow	NOUN
fis-1243	328	16	,	,	PUNCT
fis-1243	328	17	methods	method	NOUN
fis-1243	328	18	of	of	ADP
fis-1243	328	19	computational	computational	ADJ
fis-1243	328	20	physics	physics	NOUN
fis-1243	328	21	,	,	PUNCT
fis-1243	328	22	academic	academic	ADJ
fis-1243	328	23	press	press	NOUN
fis-1243	328	24	,	,	PUNCT
fis-1243	328	25	new	new	PROPN
fis-1243	328	26	york	york	PROPN
fis-1243	328	27	,	,	PUNCT
fis-1243	328	28	3	3	NUM
fis-1243	328	29	(	(	PUNCT
fis-1243	328	30	1964	1964	NUM
fis-1243	328	31	)	)	PUNCT
fis-1243	328	32	.	.	PUNCT
fis-1243	329	1	[	[	X
fis-1243	329	2	2	2	NUM
fis-1243	329	3	]	]	X
fis-1243	329	4	simo	simo	PROPN
fis-1243	329	5	,	,	PUNCT
fis-1243	329	6	j.c	j.c	PROPN
fis-1243	329	7	.	.	PROPN
fis-1243	329	8	,	,	PUNCT
fis-1243	329	9	taylor	taylor	PROPN
fis-1243	329	10	,	,	PUNCT
fis-1243	329	11	r.l	r.l	PROPN
fis-1243	329	12	.	.	PROPN
fis-1243	329	13	,	,	PUNCT
fis-1243	329	14	consistent	consistent	ADJ
fis-1243	329	15	tangent	tangent	NOUN
fis-1243	329	16	operators	operator	NOUN
fis-1243	329	17	for	for	ADP
fis-1243	329	18	rate	rate	NOUN
fis-1243	329	19	-	-	PUNCT
fis-1243	329	20	independent	independent	ADJ
fis-1243	329	21	elastoplasticity	elastoplasticity	NOUN
fis-1243	329	22	,	,	PUNCT
fis-1243	329	23	comput	comput	NOUN
fis-1243	329	24	.	.	PUNCT
fis-1243	329	25	meth	meth	NOUN
fis-1243	329	26	.	.	PUNCT
fis-1243	330	1	appl	appl	PROPN
fis-1243	330	2	.	.	PROPN
fis-1243	330	3	mech	mech	PROPN
fis-1243	330	4	.	.	PUNCT
fis-1243	331	1	eng	eng	PROPN
fis-1243	331	2	.	.	PROPN
fis-1243	331	3	,	,	PUNCT
fis-1243	331	4	48	48	NUM
fis-1243	331	5	(	(	PUNCT
fis-1243	331	6	1985	1985	NUM
fis-1243	331	7	)	)	PUNCT
fis-1243	331	8	101–118	101–118	NUM
fis-1243	331	9	.	.	PUNCT
fis-1243	332	1	[	[	X
fis-1243	332	2	3	3	NUM
fis-1243	332	3	]	]	X
fis-1243	332	4	simo	simo	PROPN
fis-1243	332	5	,	,	PUNCT
fis-1243	332	6	j.c	j.c	PROPN
fis-1243	332	7	.	.	PROPN
fis-1243	332	8	,	,	PUNCT
fis-1243	332	9	taylor	taylor	PROPN
fis-1243	332	10	,	,	PUNCT
fis-1243	332	11	r.l	r.l	PROPN
fis-1243	332	12	.	.	PROPN
fis-1243	332	13	,	,	PUNCT
fis-1243	332	14	a	a	DET
fis-1243	332	15	return	return	NOUN
fis-1243	332	16	mapping	mapping	NOUN
fis-1243	332	17	algorithm	algorithm	NOUN
fis-1243	332	18	for	for	ADP
fis-1243	332	19	plane	plane	NOUN
fis-1243	332	20	stress	stress	NOUN
fis-1243	332	21	elastoplasticity	elastoplasticity	NOUN
fis-1243	332	22	,	,	PUNCT
fis-1243	332	23	int	int	NOUN
fis-1243	332	24	.	.	PUNCT
fis-1243	332	25	j.	j.	PROPN
fis-1243	332	26	numer	numer	PROPN
fis-1243	332	27	.	.	PUNCT
fis-1243	332	28	methods	methods	PROPN
fis-1243	332	29	eng	eng	PROPN
fis-1243	332	30	.	.	PROPN
fis-1243	332	31	,	,	PUNCT
fis-1243	332	32	22	22	NUM
fis-1243	332	33	(	(	PUNCT
fis-1243	332	34	1986	1986	NUM
fis-1243	332	35	)	)	PUNCT
fis-1243	332	36	649–670	649–670	NUM
fis-1243	332	37	.	.	PUNCT
fis-1243	333	1	[	[	X
fis-1243	333	2	4	4	NUM
fis-1243	333	3	]	]	X
fis-1243	333	4	ortiz	ortiz	PROPN
fis-1243	333	5	,	,	PUNCT
fis-1243	333	6	m.	m.	NOUN
fis-1243	333	7	,	,	PUNCT
fis-1243	333	8	popov	popov	PROPN
fis-1243	333	9	,	,	PUNCT
fis-1243	333	10	e.p	e.p	PROPN
fis-1243	333	11	.	.	PROPN
fis-1243	333	12	,	,	PUNCT
fis-1243	333	13	accuracy	accuracy	NOUN
fis-1243	333	14	and	and	CCONJ
fis-1243	333	15	stability	stability	NOUN
fis-1243	333	16	of	of	ADP
fis-1243	333	17	integration	integration	NOUN
fis-1243	333	18	algorithms	algorithm	NOUN
fis-1243	333	19	for	for	ADP
fis-1243	333	20	elastoplastic	elastoplastic	ADJ
fis-1243	333	21	constitutive	constitutive	ADJ
fis-1243	333	22	relations	relation	NOUN
fis-1243	333	23	,	,	PUNCT
fis-1243	333	24	int	int	PROPN
fis-1243	333	25	.	.	PUNCT
fis-1243	334	1	j.	j.	PROPN
fis-1243	334	2	numer	numer	PROPN
fis-1243	334	3	.	.	PUNCT
fis-1243	335	1	methods	methods	PROPN
fis-1243	335	2	eng	eng	PROPN
fis-1243	335	3	.	.	PROPN
fis-1243	335	4	,	,	PUNCT
fis-1243	335	5	21	21	NUM
fis-1243	335	6	(	(	PUNCT
fis-1243	335	7	1985	1985	NUM
fis-1243	335	8	)	)	PUNCT
fis-1243	335	9	1561–1576	1561–1576	NUM
fis-1243	335	10	.	.	PUNCT
fis-1243	336	1	[	[	X
fis-1243	336	2	5	5	NUM
fis-1243	336	3	]	]	X
fis-1243	336	4	ortiz	ortiz	PROPN
fis-1243	336	5	,	,	PUNCT
fis-1243	336	6	m.	m.	NOUN
fis-1243	336	7	,	,	PUNCT
fis-1243	336	8	simo	simo	PROPN
fis-1243	336	9	,	,	PUNCT
fis-1243	336	10	j.c	j.c	PROPN
fis-1243	336	11	.	.	PROPN
fis-1243	336	12	,	,	PUNCT
fis-1243	336	13	an	an	DET
fis-1243	336	14	analysis	analysis	NOUN
fis-1243	336	15	of	of	ADP
fis-1243	336	16	a	a	DET
fis-1243	336	17	new	new	ADJ
fis-1243	336	18	class	class	NOUN
fis-1243	336	19	of	of	ADP
fis-1243	336	20	integration	integration	NOUN
fis-1243	336	21	algorithm	algorithm	NOUN
fis-1243	336	22	for	for	ADP
fis-1243	336	23	elastoplastic	elastoplastic	ADJ
fis-1243	336	24	constitutive	constitutive	ADJ
fis-1243	336	25	relations	relation	NOUN
fis-1243	336	26	,	,	PUNCT
fis-1243	336	27	int	int	PROPN
fis-1243	336	28	.	.	PUNCT
fis-1243	337	1	j.	j.	PROPN
fis-1243	337	2	numer	numer	PROPN
fis-1243	337	3	.	.	PUNCT
fis-1243	338	1	methods	methods	PROPN
fis-1243	338	2	eng	eng	PROPN
fis-1243	338	3	.	.	PROPN
fis-1243	338	4	,	,	PUNCT
fis-1243	338	5	23	23	NUM
fis-1243	338	6	(	(	PUNCT
fis-1243	338	7	1986	1986	NUM
fis-1243	338	8	)	)	PUNCT
fis-1243	339	1	353–366	353–366	NUM
fis-1243	339	2	.	.	PUNCT
fis-1243	340	1	[	[	X
fis-1243	340	2	6	6	NUM
fis-1243	340	3	]	]	X
fis-1243	340	4	ortiz	ortiz	PROPN
fis-1243	340	5	,	,	PUNCT
fis-1243	340	6	m.	m.	NOUN
fis-1243	340	7	,	,	PUNCT
fis-1243	340	8	martin	martin	PROPN
fis-1243	340	9	,	,	PUNCT
fis-1243	340	10	j.b	j.b	PROPN
fis-1243	340	11	.	.	PROPN
fis-1243	340	12	,	,	PUNCT
fis-1243	340	13	simmetry	simmetry	NOUN
fis-1243	340	14	-	-	PUNCT
fis-1243	340	15	preserving	preserve	VERB
fis-1243	340	16	return	return	NOUN
fis-1243	340	17	mapping	mapping	NOUN
fis-1243	340	18	algorithms	algorithm	NOUN
fis-1243	340	19	and	and	CCONJ
fis-1243	340	20	minimum	minimum	NOUN
fis-1243	340	21	work	work	NOUN
fis-1243	340	22	paths	path	NOUN
fis-1243	340	23	:	:	PUNCT
fis-1243	340	24	a	a	DET
fis-1243	340	25	unification	unification	NOUN
fis-1243	340	26	of	of	ADP
fis-1243	340	27	concepts	concept	NOUN
fis-1243	340	28	,	,	PUNCT
fis-1243	340	29	int	int	NOUN
fis-1243	340	30	.	.	PUNCT
fis-1243	341	1	j.	j.	PROPN
fis-1243	341	2	numer	numer	PROPN
fis-1243	341	3	.	.	PUNCT
fis-1243	342	1	methods	methods	PROPN
fis-1243	342	2	eng	eng	PROPN
fis-1243	342	3	.	.	PROPN
fis-1243	342	4	,	,	PUNCT
fis-1243	342	5	28	28	NUM
fis-1243	342	6	(	(	PUNCT
fis-1243	342	7	1989	1989	NUM
fis-1243	342	8	)	)	PUNCT
fis-1243	342	9	1839–1853	1839–1853	NUM
fis-1243	342	10	.	.	PUNCT
fis-1243	343	1	[	[	X
fis-1243	343	2	7	7	NUM
fis-1243	343	3	]	]	SYM
fis-1243	343	4	han	han	PROPN
fis-1243	343	5	,	,	PUNCT
fis-1243	343	6	w.	w.	PROPN
fis-1243	343	7	,	,	PUNCT
fis-1243	343	8	reddy	reddy	PROPN
fis-1243	343	9	,	,	PUNCT
fis-1243	343	10	b.d	b.d	PROPN
fis-1243	343	11	.	.	PROPN
fis-1243	343	12	,	,	PUNCT
fis-1243	343	13	plasticity	plasticity	NOUN
fis-1243	343	14	:	:	PUNCT
fis-1243	343	15	mathematical	mathematical	ADJ
fis-1243	343	16	theory	theory	NOUN
fis-1243	343	17	and	and	CCONJ
fis-1243	343	18	numerical	numerical	ADJ
fis-1243	343	19	analysis	analysis	NOUN
fis-1243	343	20	,	,	PUNCT
fis-1243	343	21	interdisciplinary	interdisciplinary	ADJ
fis-1243	343	22	applied	apply	VERB
fis-1243	343	23	mathematics	mathematic	NOUN
fis-1243	343	24	:	:	PUNCT
fis-1243	343	25	mechanics	mechanic	NOUN
fis-1243	343	26	and	and	CCONJ
fis-1243	343	27	materials	material	NOUN
fis-1243	343	28	,	,	PUNCT
fis-1243	343	29	vol	vol	NOUN
fis-1243	343	30	.	.	NOUN
fis-1243	343	31	9	9	NUM
fis-1243	343	32	.	.	X
fis-1243	343	33	springer	springer	NOUN
fis-1243	343	34	,	,	PUNCT
fis-1243	343	35	new	new	PROPN
fis-1243	343	36	york	york	PROPN
fis-1243	343	37	,	,	PUNCT
fis-1243	343	38	(	(	PUNCT
fis-1243	343	39	1999	1999	NUM
fis-1243	343	40	)	)	PUNCT
fis-1243	343	41	.	.	PUNCT
fis-1243	344	1	[	[	X
fis-1243	344	2	8	8	NUM
fis-1243	344	3	]	]	X
fis-1243	344	4	simo	simo	PROPN
fis-1243	344	5	,	,	PUNCT
fis-1243	344	6	j.c	j.c	PROPN
fis-1243	344	7	.	.	PROPN
fis-1243	344	8	,	,	PUNCT
fis-1243	344	9	hughes	hughes	PROPN
fis-1243	344	10	,	,	PUNCT
fis-1243	344	11	t.j.r	t.j.r	PROPN
fis-1243	344	12	.	.	PROPN
fis-1243	344	13	,	,	PUNCT
fis-1243	344	14	computation	computation	NOUN
fis-1243	344	15	inelasticity	inelasticity	NOUN
fis-1243	344	16	,	,	PUNCT
fis-1243	344	17	springer	springer	NOUN
fis-1243	344	18	,	,	PUNCT
fis-1243	344	19	new	new	PROPN
fis-1243	344	20	york	york	PROPN
fis-1243	344	21	,	,	PUNCT
fis-1243	344	22	(	(	PUNCT
fis-1243	344	23	1998	1998	NUM
fis-1243	344	24	)	)	PUNCT
fis-1243	344	25	.	.	PUNCT
fis-1243	345	1	[	[	X
fis-1243	345	2	9	9	NUM
fis-1243	345	3	]	]	X
fis-1243	345	4	simo	simo	PROPN
fis-1243	345	5	,	,	PUNCT
fis-1243	345	6	j.c	j.c	PROPN
fis-1243	345	7	.	.	PROPN
fis-1243	345	8	,	,	PUNCT
fis-1243	345	9	numerical	numerical	ADJ
fis-1243	345	10	analysis	analysis	NOUN
fis-1243	345	11	of	of	ADP
fis-1243	345	12	classical	classical	ADJ
fis-1243	345	13	plasticity	plasticity	NOUN
fis-1243	345	14	,	,	PUNCT
fis-1243	345	15	in	in	ADP
fis-1243	345	16	handbook	handbook	NOUN
fis-1243	345	17	for	for	ADP
fis-1243	345	18	numerical	numerical	ADJ
fis-1243	345	19	analysis	analysis	NOUN
fis-1243	345	20	,	,	PUNCT
fis-1243	345	21	ciarlet	ciarlet	NOUN
fis-1243	345	22	pg	pg	PROPN
fis-1243	345	23	,	,	PUNCT
fis-1243	345	24	lions	lion	NOUN
fis-1243	345	25	jj	jj	PROPN
fis-1243	345	26	(	(	PUNCT
fis-1243	345	27	eds	eds	PROPN
fis-1243	345	28	.	.	PUNCT
fis-1243	345	29	)	)	PUNCT
fis-1243	345	30	,	,	PUNCT
fis-1243	345	31	vol	vol	NOUN
fis-1243	345	32	.	.	PROPN
fis-1243	345	33	iv	iv	NUM
fis-1243	345	34	,	,	PUNCT
fis-1243	345	35	elsevier	elsevier	NOUN
fis-1243	345	36	,	,	PUNCT
fis-1243	345	37	amsterdam	amsterdam	PROPN
fis-1243	345	38	,	,	PUNCT
fis-1243	345	39	(	(	PUNCT
fis-1243	345	40	1998	1998	NUM
fis-1243	345	41	)	)	PUNCT
fis-1243	345	42	.	.	PUNCT
fis-1243	346	1	[	[	X
fis-1243	346	2	10	10	NUM
fis-1243	346	3	]	]	X
fis-1243	346	4	de	de	PROPN
fis-1243	346	5	souza	souza	PROPN
fis-1243	346	6	neto	neto	PROPN
fis-1243	346	7	,	,	PUNCT
fis-1243	346	8	e.a	e.a	PROPN
fis-1243	346	9	.	.	PROPN
fis-1243	346	10	,	,	PUNCT
fis-1243	346	11	perić	perić	PROPN
fis-1243	346	12	,	,	PUNCT
fis-1243	346	13	d.	d.	PROPN
fis-1243	346	14	,	,	PUNCT
fis-1243	346	15	owen	owen	PROPN
fis-1243	346	16	,	,	PUNCT
fis-1243	346	17	d.r.j	d.r.j	PROPN
fis-1243	346	18	.	.	PROPN
fis-1243	346	19	,	,	PUNCT
fis-1243	346	20	computational	computational	ADJ
fis-1243	346	21	methods	method	NOUN
fis-1243	346	22	for	for	ADP
fis-1243	346	23	plasticity	plasticity	NOUN
fis-1243	346	24	:	:	PUNCT
fis-1243	346	25	theory	theory	NOUN
fis-1243	346	26	and	and	CCONJ
fis-1243	346	27	applications	application	NOUN
fis-1243	346	28	,	,	PUNCT
fis-1243	346	29	john	john	PROPN
fis-1243	346	30	wiley	wiley	PROPN
fis-1243	346	31	&	&	CCONJ
fis-1243	346	32	sons	sons	PROPN
fis-1243	346	33	,	,	PUNCT
fis-1243	346	34	ltd	ltd	PROPN
fis-1243	346	35	,	,	PUNCT
fis-1243	346	36	chichester	chichester	PROPN
fis-1243	346	37	,	,	PUNCT
fis-1243	346	38	(	(	PUNCT
fis-1243	346	39	2008	2008	NUM
fis-1243	346	40	)	)	PUNCT
fis-1243	346	41	.	.	PUNCT
fis-1243	347	1	a	a	DET
fis-1243	347	2	t	t	PROPN
fis-1243	347	3	n.a	n.a	PROPN
fis-1243	347	4	.	.	PROPN
fis-1243	347	5	nodargi	nodargi	PROPN
fis-1243	347	6	et	et	PROPN
fis-1243	347	7	alii	alii	PROPN
fis-1243	347	8	,	,	PUNCT
fis-1243	347	9	frattura	frattura	PROPN
fis-1243	347	10	ed	ed	PROPN
fis-1243	347	11	integrità	integrità	PROPN
fis-1243	347	12	strutturale	strutturale	PROPN
fis-1243	347	13	,	,	PUNCT
fis-1243	347	14	29	29	NUM
fis-1243	347	15	(	(	PUNCT
fis-1243	347	16	2014	2014	NUM
fis-1243	347	17	)	)	PUNCT
fis-1243	347	18	111	111	NUM
fis-1243	347	19	-	-	SYM
fis-1243	347	20	127	127	NUM
fis-1243	347	21	;	;	PUNCT
fis-1243	347	22	doi	doi	NOUN
fis-1243	347	23	:	:	PUNCT
fis-1243	347	24	10.3221	10.3221	NUM
fis-1243	347	25	/	/	SYM
fis-1243	347	26	igf	igf	PROPN
fis-1243	347	27	-	-	PUNCT
fis-1243	347	28	esis.29.11	esis.29.11	PROPN
fis-1243	347	29	122	122	NUM
fis-1243	347	30	[	[	SYM
fis-1243	347	31	11	11	NUM
fis-1243	347	32	]	]	SYM
fis-1243	347	33	borja	borja	PROPN
fis-1243	347	34	,	,	PUNCT
fis-1243	347	35	r.i	r.i	PROPN
fis-1243	347	36	.	.	PROPN
fis-1243	347	37	,	,	PUNCT
fis-1243	347	38	plasticity	plasticity	NOUN
fis-1243	347	39	–	–	PUNCT
fis-1243	347	40	modeling	modeling	NOUN
fis-1243	347	41	&	&	CCONJ
fis-1243	347	42	computation	computation	NOUN
fis-1243	347	43	,	,	PUNCT
fis-1243	347	44	springer	springer	NOUN
fis-1243	347	45	,	,	PUNCT
fis-1243	347	46	berlin	berlin	PROPN
fis-1243	347	47	,	,	PUNCT
fis-1243	347	48	(	(	PUNCT
fis-1243	347	49	2013	2013	NUM
fis-1243	347	50	)	)	PUNCT
fis-1243	347	51	.	.	PUNCT
fis-1243	348	1	[	[	X
fis-1243	348	2	12	12	NUM
fis-1243	348	3	]	]	X
fis-1243	348	4	bićanić	bićanić	NOUN
fis-1243	348	5	,	,	PUNCT
fis-1243	348	6	n.	n.	PROPN
fis-1243	348	7	,	,	PUNCT
fis-1243	348	8	pearce	pearce	PROPN
fis-1243	348	9	,	,	PUNCT
fis-1243	348	10	c.j	c.j	PROPN
fis-1243	348	11	.	.	PROPN
fis-1243	348	12	,	,	PUNCT
fis-1243	348	13	computational	computational	ADJ
fis-1243	348	14	aspects	aspect	NOUN
fis-1243	348	15	of	of	ADP
fis-1243	348	16	a	a	DET
fis-1243	348	17	softening	soften	VERB
fis-1243	348	18	plasticity	plasticity	NOUN
fis-1243	348	19	model	model	NOUN
fis-1243	348	20	for	for	ADP
fis-1243	348	21	plain	plain	ADJ
fis-1243	348	22	concrete	concrete	NOUN
fis-1243	348	23	,	,	PUNCT
fis-1243	348	24	mechanics	mechanic	NOUN
fis-1243	348	25	of	of	ADP
fis-1243	348	26	cohesive	cohesive	ADJ
fis-1243	348	27	and	and	CCONJ
fis-1243	348	28	frictional	frictional	ADJ
fis-1243	348	29	materials	material	NOUN
fis-1243	348	30	,	,	PUNCT
fis-1243	348	31	1	1	NUM
fis-1243	348	32	(	(	PUNCT
fis-1243	348	33	1996	1996	NUM
fis-1243	348	34	)	)	PUNCT
fis-1243	349	1	75–94	75–94	X
fis-1243	349	2	.	.	PUNCT
fis-1243	350	1	[	[	X
fis-1243	350	2	13	13	NUM
fis-1243	350	3	]	]	SYM
fis-1243	350	4	de	de	PROPN
fis-1243	350	5	souza	souza	PROPN
fis-1243	350	6	neto	neto	PROPN
fis-1243	350	7	,	,	PUNCT
fis-1243	350	8	e.a	e.a	PROPN
fis-1243	350	9	.	.	PROPN
fis-1243	350	10	,	,	PUNCT
fis-1243	350	11	perić	perić	PROPN
fis-1243	350	12	,	,	PUNCT
fis-1243	350	13	d.	d.	PROPN
fis-1243	350	14	,	,	PUNCT
fis-1243	350	15	owen	owen	PROPN
fis-1243	350	16	,	,	PUNCT
fis-1243	350	17	d.r.j	d.r.j	PROPN
fis-1243	350	18	.	.	PROPN
fis-1243	350	19	,	,	PUNCT
fis-1243	350	20	a	a	DET
fis-1243	350	21	model	model	NOUN
fis-1243	350	22	for	for	ADP
fis-1243	350	23	elastoplastic	elastoplastic	ADJ
fis-1243	350	24	damage	damage	NOUN
fis-1243	350	25	at	at	ADP
fis-1243	350	26	finite	finite	ADJ
fis-1243	350	27	strains	strain	NOUN
fis-1243	350	28	:	:	PUNCT
fis-1243	350	29	algorithmic	algorithmic	ADJ
fis-1243	350	30	issues	issue	NOUN
fis-1243	350	31	and	and	CCONJ
fis-1243	350	32	applications	application	NOUN
fis-1243	350	33	,	,	PUNCT
fis-1243	350	34	eng	eng	PROPN
fis-1243	350	35	.	.	PUNCT
fis-1243	350	36	comput	comput	PROPN
fis-1243	350	37	.	.	PUNCT
fis-1243	350	38	,	,	PUNCT
fis-1243	350	39	11	11	NUM
fis-1243	350	40	(	(	PUNCT
fis-1243	350	41	1994	1994	NUM
fis-1243	350	42	)	)	PUNCT
fis-1243	350	43	257–281	257–281	NUM
fis-1243	350	44	.	.	PUNCT
fis-1243	351	1	[	[	X
fis-1243	351	2	14	14	NUM
fis-1243	351	3	]	]	X
fis-1243	351	4	pérez	pérez	NOUN
fis-1243	351	5	-	-	PUNCT
fis-1243	351	6	foguet	foguet	PROPN
fis-1243	351	7	,	,	PUNCT
fis-1243	351	8	a.	a.	NOUN
fis-1243	351	9	,	,	PUNCT
fis-1243	351	10	rodríguez	rodríguez	NOUN
fis-1243	351	11	-	-	PUNCT
fis-1243	351	12	ferran	ferran	PROPN
fis-1243	351	13	,	,	PUNCT
fis-1243	351	14	a.	a.	PROPN
fis-1243	351	15	,	,	PUNCT
fis-1243	351	16	huerta	huerta	PROPN
fis-1243	351	17	,	,	PUNCT
fis-1243	351	18	a.	a.	NOUN
fis-1243	351	19	,	,	PUNCT
fis-1243	351	20	consistent	consistent	ADJ
fis-1243	351	21	tangent	tangent	NOUN
fis-1243	351	22	matrices	matrix	NOUN
fis-1243	351	23	for	for	ADP
fis-1243	351	24	substepping	substeppe	VERB
fis-1243	351	25	schemes	scheme	NOUN
fis-1243	351	26	.	.	PUNCT
fis-1243	352	1	comput	comput	NOUN
fis-1243	352	2	.	.	PUNCT
fis-1243	353	1	meth	meth	NOUN
fis-1243	353	2	.	.	PUNCT
fis-1243	354	1	appl	appl	PROPN
fis-1243	354	2	.	.	PROPN
fis-1243	354	3	mech	mech	PROPN
fis-1243	354	4	.	.	PUNCT
fis-1243	355	1	eng	eng	PROPN
fis-1243	355	2	.	.	PROPN
fis-1243	355	3	,	,	PUNCT
fis-1243	355	4	190	190	NUM
fis-1243	355	5	(	(	PUNCT
fis-1243	355	6	2001	2001	NUM
fis-1243	355	7	)	)	PUNCT
fis-1243	355	8	4627–4647	4627–4647	NUM
fis-1243	355	9	.	.	PUNCT
fis-1243	356	1	[	[	X
fis-1243	356	2	15	15	NUM
fis-1243	356	3	]	]	SYM
fis-1243	356	4	armero	armero	NOUN
fis-1243	356	5	,	,	PUNCT
fis-1243	356	6	f.	f.	PROPN
fis-1243	356	7	,	,	PUNCT
fis-1243	356	8	pérez	pérez	NOUN
fis-1243	356	9	-	-	PUNCT
fis-1243	356	10	foguet	foguet	PROPN
fis-1243	356	11	,	,	PUNCT
fis-1243	356	12	a.	a.	NOUN
fis-1243	356	13	,	,	PUNCT
fis-1243	356	14	on	on	ADP
fis-1243	356	15	the	the	DET
fis-1243	356	16	formulation	formulation	NOUN
fis-1243	356	17	of	of	ADP
fis-1243	356	18	closest	close	ADJ
fis-1243	356	19	-	-	PUNCT
fis-1243	356	20	point	point	NOUN
fis-1243	356	21	projection	projection	NOUN
fis-1243	356	22	algorithms	algorithm	NOUN
fis-1243	356	23	in	in	ADP
fis-1243	356	24	elastoplasticity	elastoplasticity	NOUN
fis-1243	356	25	.	.	PUNCT
fis-1243	357	1	part	part	NOUN
fis-1243	358	1	i	i	PRON
fis-1243	358	2	:	:	PUNCT
fis-1243	358	3	the	the	DET
fis-1243	358	4	variational	variational	ADJ
fis-1243	358	5	structure	structure	NOUN
fis-1243	358	6	,	,	PUNCT
fis-1243	358	7	int	int	NOUN
fis-1243	358	8	.	.	PUNCT
fis-1243	359	1	j.	j.	PROPN
fis-1243	359	2	numer	numer	PROPN
fis-1243	359	3	.	.	PUNCT
fis-1243	360	1	methods	methods	PROPN
fis-1243	360	2	eng	eng	PROPN
fis-1243	360	3	.	.	PROPN
fis-1243	360	4	,	,	PUNCT
fis-1243	360	5	53	53	NUM
fis-1243	360	6	(	(	PUNCT
fis-1243	360	7	2002	2002	NUM
fis-1243	360	8	)	)	PUNCT
fis-1243	361	1	297–329	297–329	NUM
fis-1243	361	2	.	.	PUNCT
fis-1243	362	1	[	[	X
fis-1243	362	2	16	16	NUM
fis-1243	362	3	]	]	X
fis-1243	362	4	abbo	abbo	PROPN
fis-1243	362	5	,	,	PUNCT
fis-1243	362	6	a.j	a.j	PROPN
fis-1243	362	7	.	.	PROPN
fis-1243	362	8	,	,	PUNCT
fis-1243	362	9	sloan	sloan	PROPN
fis-1243	362	10	,	,	PUNCT
fis-1243	362	11	s.w	s.w	PROPN
fis-1243	362	12	.	.	PROPN
fis-1243	362	13	,	,	PUNCT
fis-1243	362	14	an	an	DET
fis-1243	362	15	automatic	automatic	ADJ
fis-1243	362	16	load	load	NOUN
fis-1243	362	17	stepping	step	VERB
fis-1243	362	18	algorithm	algorithm	NOUN
fis-1243	362	19	with	with	ADP
fis-1243	362	20	error	error	NOUN
fis-1243	362	21	control	control	NOUN
fis-1243	362	22	,	,	PUNCT
fis-1243	362	23	int	int	NOUN
fis-1243	362	24	.	.	PUNCT
fis-1243	363	1	j.	j.	PROPN
fis-1243	363	2	numer	numer	PROPN
fis-1243	363	3	.	.	PUNCT
fis-1243	364	1	methods	methods	PROPN
fis-1243	364	2	eng	eng	PROPN
fis-1243	364	3	.	.	PROPN
fis-1243	364	4	,	,	PUNCT
fis-1243	364	5	39	39	NUM
fis-1243	364	6	(	(	PUNCT
fis-1243	364	7	1996	1996	NUM
fis-1243	364	8	)	)	PUNCT
fis-1243	364	9	1737–1759	1737–1759	NOUN
fis-1243	364	10	.	.	PUNCT
fis-1243	365	1	[	[	X
fis-1243	365	2	17	17	NUM
fis-1243	365	3	]	]	SYM
fis-1243	365	4	armero	armero	NOUN
fis-1243	365	5	,	,	PUNCT
fis-1243	365	6	f.	f.	PROPN
fis-1243	365	7	,	,	PUNCT
fis-1243	365	8	pérez	pérez	NOUN
fis-1243	365	9	-	-	PUNCT
fis-1243	365	10	foguet	foguet	PROPN
fis-1243	365	11	,	,	PUNCT
fis-1243	365	12	a.	a.	NOUN
fis-1243	365	13	,	,	PUNCT
fis-1243	365	14	on	on	ADP
fis-1243	365	15	the	the	DET
fis-1243	365	16	formulation	formulation	NOUN
fis-1243	365	17	of	of	ADP
fis-1243	365	18	closest	close	ADJ
fis-1243	365	19	-	-	PUNCT
fis-1243	365	20	point	point	NOUN
fis-1243	365	21	projection	projection	NOUN
fis-1243	365	22	algorithms	algorithm	NOUN
fis-1243	365	23	in	in	ADP
fis-1243	365	24	elastoplasticity	elastoplasticity	NOUN
fis-1243	365	25	.	.	PUNCT
fis-1243	366	1	part	part	NOUN
fis-1243	366	2	ii	ii	PROPN
fis-1243	366	3	:	:	PUNCT
fis-1243	366	4	globally	globally	ADV
fis-1243	366	5	convergent	convergent	ADJ
fis-1243	366	6	schemes	scheme	NOUN
fis-1243	366	7	,	,	PUNCT
fis-1243	366	8	int	int	NOUN
fis-1243	366	9	.	.	PUNCT
fis-1243	367	1	j.	j.	PROPN
fis-1243	367	2	numer	numer	PROPN
fis-1243	367	3	.	.	PUNCT
fis-1243	368	1	methods	methods	PROPN
fis-1243	368	2	eng	eng	PROPN
fis-1243	368	3	.	.	PROPN
fis-1243	368	4	,	,	PUNCT
fis-1243	368	5	53	53	NUM
fis-1243	368	6	(	(	PUNCT
fis-1243	368	7	2002	2002	NUM
fis-1243	368	8	)	)	PUNCT
fis-1243	369	1	331–374	331–374	NUM
fis-1243	369	2	.	.	PUNCT
fis-1243	370	1	[	[	X
fis-1243	370	2	18	18	NUM
fis-1243	370	3	]	]	SYM
fis-1243	370	4	dutko	dutko	PROPN
fis-1243	370	5	,	,	PUNCT
fis-1243	370	6	m	m	PROPN
fis-1243	370	7	,	,	PUNCT
fis-1243	370	8	perić	perić	NOUN
fis-1243	370	9	,	,	PUNCT
fis-1243	370	10	d	d	PROPN
fis-1243	370	11	,	,	PUNCT
fis-1243	370	12	owen	owen	PROPN
fis-1243	370	13	,	,	PUNCT
fis-1243	370	14	drj	drj	PROPN
fis-1243	370	15	,	,	PUNCT
fis-1243	370	16	universal	universal	ADJ
fis-1243	370	17	anisotropic	anisotropic	NOUN
fis-1243	370	18	yield	yield	NOUN
fis-1243	370	19	criterion	criterion	NOUN
fis-1243	370	20	based	base	VERB
fis-1243	370	21	on	on	ADP
fis-1243	370	22	superquadratic	superquadratic	ADJ
fis-1243	370	23	functional	functional	ADJ
fis-1243	370	24	representation	representation	NOUN
fis-1243	370	25	:	:	PUNCT
fis-1243	370	26	part	part	NOUN
fis-1243	370	27	i.	i.	PROPN
fis-1243	370	28	algorithmic	algorithmic	ADJ
fis-1243	370	29	issues	issue	NOUN
fis-1243	370	30	and	and	CCONJ
fis-1243	370	31	accuracy	accuracy	NOUN
fis-1243	370	32	analysis	analysis	NOUN
fis-1243	370	33	,	,	PUNCT
fis-1243	370	34	comput	comput	NOUN
fis-1243	370	35	.	.	PUNCT
fis-1243	371	1	meth	meth	NOUN
fis-1243	371	2	.	.	PUNCT
fis-1243	372	1	appl	appl	PROPN
fis-1243	372	2	.	.	PROPN
fis-1243	372	3	mech	mech	PROPN
fis-1243	372	4	.	.	PUNCT
fis-1243	373	1	eng	eng	PROPN
fis-1243	373	2	.	.	PROPN
fis-1243	373	3	,	,	PUNCT
fis-1243	373	4	109	109	NUM
fis-1243	373	5	(	(	PUNCT
fis-1243	373	6	1993	1993	NUM
fis-1243	373	7	)	)	PUNCT
fis-1243	374	1	73–93	73–93	NUM
fis-1243	374	2	.	.	PUNCT
fis-1243	375	1	[	[	X
fis-1243	375	2	19	19	NUM
fis-1243	375	3	]	]	X
fis-1243	375	4	owen	owen	PROPN
fis-1243	375	5	,	,	PUNCT
fis-1243	375	6	d.r.j	d.r.j	PROPN
fis-1243	375	7	.	.	PROPN
fis-1243	375	8	,	,	PUNCT
fis-1243	375	9	hinton	hinton	PROPN
fis-1243	375	10	,	,	PUNCT
fis-1243	375	11	e.	e.	PROPN
fis-1243	375	12	,	,	PUNCT
fis-1243	375	13	finite	finite	VERB
fis-1243	375	14	elements	element	NOUN
fis-1243	375	15	in	in	ADP
fis-1243	375	16	plasticity	plasticity	NOUN
fis-1243	375	17	,	,	PUNCT
fis-1243	375	18	pineridge	pineridge	NOUN
fis-1243	375	19	press	press	NOUN
fis-1243	375	20	,	,	PUNCT
fis-1243	375	21	swansea	swansea	NOUN
fis-1243	375	22	,	,	PUNCT
fis-1243	375	23	(	(	PUNCT
fis-1243	375	24	1980	1980	NUM
fis-1243	375	25	)	)	PUNCT
fis-1243	375	26	.	.	PUNCT
fis-1243	376	1	[	[	X
fis-1243	376	2	20	20	NUM
fis-1243	376	3	]	]	X
fis-1243	376	4	sloan	sloan	PROPN
fis-1243	376	5	s.w	s.w	AUX
fis-1243	376	6	.	.	PROPN
fis-1243	376	7	,	,	PUNCT
fis-1243	376	8	substepping	substeppe	VERB
fis-1243	376	9	schemes	scheme	NOUN
fis-1243	376	10	for	for	ADP
fis-1243	376	11	the	the	DET
fis-1243	376	12	numerical	numerical	ADJ
fis-1243	376	13	integration	integration	NOUN
fis-1243	376	14	of	of	ADP
fis-1243	376	15	elastoplastic	elastoplastic	ADJ
fis-1243	376	16	stress	stress	NOUN
fis-1243	376	17	-	-	PUNCT
fis-1243	376	18	strain	strain	NOUN
fis-1243	376	19	relations	relation	NOUN
fis-1243	376	20	,	,	PUNCT
fis-1243	376	21	int	int	PROPN
fis-1243	376	22	.	.	PUNCT
fis-1243	377	1	j.	j.	PROPN
fis-1243	377	2	numer	numer	PROPN
fis-1243	377	3	.	.	PUNCT
fis-1243	378	1	methods	methods	PROPN
fis-1243	378	2	eng	eng	PROPN
fis-1243	378	3	.	.	PROPN
fis-1243	378	4	,	,	PUNCT
fis-1243	378	5	24	24	NUM
fis-1243	378	6	(	(	PUNCT
fis-1243	378	7	1987	1987	NUM
fis-1243	378	8	)	)	PUNCT
fis-1243	379	1	893–911	893–911	NUM
fis-1243	379	2	.	.	PUNCT
fis-1243	380	1	[	[	X
fis-1243	380	2	21	21	NUM
fis-1243	380	3	]	]	X
fis-1243	380	4	rosati	rosati	PROPN
fis-1243	380	5	,	,	PUNCT
fis-1243	380	6	l.	l.	PROPN
fis-1243	380	7	,	,	PUNCT
fis-1243	380	8	valoroso	valoroso	ADV
fis-1243	380	9	,	,	PUNCT
fis-1243	380	10	n.	n.	NOUN
fis-1243	380	11	,	,	PUNCT
fis-1243	380	12	a	a	DET
fis-1243	380	13	return	return	NOUN
fis-1243	380	14	map	map	NOUN
fis-1243	380	15	algorithm	algorithm	NOUN
fis-1243	380	16	for	for	ADP
fis-1243	380	17	general	general	ADJ
fis-1243	380	18	isotropic	isotropic	NOUN
fis-1243	380	19	elasto	elasto	NOUN
fis-1243	380	20	/	/	SYM
fis-1243	380	21	visco	visco	ADJ
fis-1243	380	22	-	-	PUNCT
fis-1243	380	23	plastic	plastic	NOUN
fis-1243	380	24	materials	material	NOUN
fis-1243	380	25	in	in	ADP
fis-1243	380	26	principal	principal	ADJ
fis-1243	380	27	space	space	NOUN
fis-1243	380	28	,	,	PUNCT
fis-1243	380	29	int	int	NOUN
fis-1243	380	30	.	.	PUNCT
fis-1243	381	1	j.	j.	PROPN
fis-1243	381	2	numer	numer	PROPN
fis-1243	381	3	.	.	PUNCT
fis-1243	382	1	methods	methods	PROPN
fis-1243	382	2	eng	eng	PROPN
fis-1243	382	3	.	.	PROPN
fis-1243	382	4	,	,	PUNCT
fis-1243	382	5	60	60	NUM
fis-1243	382	6	(	(	PUNCT
fis-1243	382	7	2004	2004	NUM
fis-1243	382	8	)	)	PUNCT
fis-1243	383	1	461–498	461–498	NUM
fis-1243	383	2	.	.	PUNCT
fis-1243	384	1	[	[	X
fis-1243	384	2	22	22	NUM
fis-1243	384	3	]	]	PUNCT
fis-1243	384	4	halphen	halphen	ADV
fis-1243	384	5	,	,	PUNCT
fis-1243	384	6	b.	b.	PROPN
fis-1243	384	7	,	,	PUNCT
fis-1243	384	8	nguyen	nguyen	PROPN
fis-1243	384	9	,	,	PUNCT
fis-1243	384	10	q.s	q.s	PROPN
fis-1243	384	11	.	.	PROPN
fis-1243	384	12	,	,	PUNCT
fis-1243	384	13	sur	sur	PROPN
fis-1243	384	14	les	les	X
fis-1243	384	15	matériaux	matériaux	PROPN
fis-1243	384	16	standards	standard	NOUN
fis-1243	384	17	généralizés	généralizé	NOUN
fis-1243	384	18	,	,	PUNCT
fis-1243	384	19	journal	journal	PROPN
fis-1243	384	20	de	de	X
fis-1243	384	21	mécanique	mécanique	PROPN
fis-1243	384	22	,	,	PUNCT
fis-1243	384	23	14	14	NUM
fis-1243	384	24	(	(	PUNCT
fis-1243	384	25	1975	1975	NUM
fis-1243	384	26	)	)	PUNCT
fis-1243	385	1	39–63	39–63	NUM
fis-1243	385	2	.	.	PUNCT
fis-1243	386	1	[	[	X
fis-1243	386	2	23	23	NUM
fis-1243	386	3	]	]	X
fis-1243	386	4	eve	eve	NOUN
fis-1243	386	5	,	,	PUNCT
fis-1243	386	6	r.a	r.a	PROPN
fis-1243	386	7	.	.	PROPN
fis-1243	386	8	,	,	PUNCT
fis-1243	386	9	reddy	reddy	PROPN
fis-1243	386	10	,	,	PUNCT
fis-1243	386	11	b.d	b.d	PROPN
fis-1243	386	12	.	.	PROPN
fis-1243	386	13	,	,	PUNCT
fis-1243	386	14	rockafellar	rockafellar	PROPN
fis-1243	386	15	rt	rt	PROPN
fis-1243	386	16	,	,	PUNCT
fis-1243	386	17	an	an	DET
fis-1243	386	18	internal	internal	ADJ
fis-1243	386	19	variable	variable	ADJ
fis-1243	386	20	theory	theory	NOUN
fis-1243	386	21	of	of	ADP
fis-1243	386	22	plasticity	plasticity	NOUN
fis-1243	386	23	based	base	VERB
fis-1243	386	24	on	on	ADP
fis-1243	386	25	the	the	DET
fis-1243	386	26	maximum	maximum	ADJ
fis-1243	386	27	plastic	plastic	ADJ
fis-1243	386	28	work	work	NOUN
fis-1243	386	29	inequality	inequality	NOUN
fis-1243	386	30	,	,	PUNCT
fis-1243	386	31	q.	q.	PROPN
fis-1243	386	32	appl	appl	PROPN
fis-1243	386	33	.	.	PROPN
fis-1243	386	34	math	math	PROPN
fis-1243	386	35	.	.	PUNCT
fis-1243	386	36	,	,	PUNCT
fis-1243	386	37	48	48	NUM
fis-1243	386	38	(	(	PUNCT
fis-1243	386	39	1990	1990	NUM
fis-1243	386	40	)	)	PUNCT
fis-1243	386	41	59–83	59–83	NUM
fis-1243	386	42	.	.	PUNCT
fis-1243	387	1	[	[	X
fis-1243	387	2	24	24	NUM
fis-1243	387	3	]	]	PUNCT
fis-1243	387	4	miehe	miehe	PROPN
fis-1243	387	5	,	,	PUNCT
fis-1243	387	6	c.	c.	PROPN
fis-1243	387	7	,	,	PUNCT
fis-1243	387	8	schotte	schotte	PROPN
fis-1243	387	9	,	,	PUNCT
fis-1243	387	10	j.	j.	PROPN
fis-1243	387	11	,	,	PUNCT
fis-1243	387	12	lambrecht	lambrecht	NOUN
fis-1243	387	13	m.	m.	NOUN
fis-1243	387	14	,	,	PUNCT
fis-1243	387	15	homogenization	homogenization	NOUN
fis-1243	387	16	of	of	ADP
fis-1243	387	17	inelastic	inelastic	ADJ
fis-1243	387	18	solid	solid	ADJ
fis-1243	387	19	materials	material	NOUN
fis-1243	387	20	at	at	ADP
fis-1243	387	21	finite	finite	ADJ
fis-1243	387	22	strains	strain	NOUN
fis-1243	387	23	based	base	VERB
fis-1243	387	24	on	on	ADP
fis-1243	387	25	incremental	incremental	ADJ
fis-1243	387	26	minimization	minimization	NOUN
fis-1243	387	27	principles	principle	NOUN
fis-1243	387	28	.	.	PUNCT
fis-1243	388	1	application	application	NOUN
fis-1243	388	2	to	to	AUX
fis-1243	388	3	texture	texture	VERB
fis-1243	388	4	analysis	analysis	NOUN
fis-1243	388	5	of	of	ADP
fis-1243	388	6	polycrystals	polycrystal	NOUN
fis-1243	388	7	,	,	PUNCT
fis-1243	388	8	j.	j.	PROPN
fis-1243	388	9	mech	mech	PROPN
fis-1243	388	10	.	.	PUNCT
fis-1243	389	1	phys	phy	NOUN
fis-1243	389	2	.	.	PUNCT
fis-1243	390	1	solids	solid	NOUN
fis-1243	390	2	,	,	PUNCT
fis-1243	390	3	50	50	NUM
fis-1243	390	4	(	(	PUNCT
fis-1243	390	5	2002	2002	NUM
fis-1243	390	6	)	)	PUNCT
fis-1243	390	7	2123–2167	2123–2167	NUM
fis-1243	390	8	.	.	PUNCT
fis-1243	391	1	[	[	X
fis-1243	391	2	25	25	NUM
fis-1243	391	3	]	]	PUNCT
fis-1243	391	4	mosler	mosler	NOUN
fis-1243	391	5	,	,	PUNCT
fis-1243	391	6	j.	j.	PROPN
fis-1243	391	7	,	,	PUNCT
fis-1243	391	8	variationally	variationally	ADV
fis-1243	391	9	consistent	consistent	ADJ
fis-1243	391	10	modeling	modeling	NOUN
fis-1243	391	11	of	of	ADP
fis-1243	391	12	finite	finite	ADJ
fis-1243	391	13	strain	strain	NOUN
fis-1243	391	14	plasticity	plasticity	NOUN
fis-1243	391	15	theory	theory	NOUN
fis-1243	391	16	with	with	ADP
fis-1243	391	17	non	non	ADJ
fis-1243	391	18	-	-	ADJ
fis-1243	391	19	linear	linear	ADJ
fis-1243	391	20	kinematic	kinematic	ADJ
fis-1243	391	21	hardening	hardening	NOUN
fis-1243	391	22	,	,	PUNCT
fis-1243	391	23	comput	comput	NOUN
fis-1243	391	24	.	.	PUNCT
fis-1243	392	1	meth	meth	NOUN
fis-1243	392	2	.	.	PUNCT
fis-1243	393	1	appl	appl	PROPN
fis-1243	393	2	.	.	PROPN
fis-1243	393	3	mech	mech	PROPN
fis-1243	393	4	.	.	PUNCT
fis-1243	394	1	eng	eng	PROPN
fis-1243	394	2	.	.	PROPN
fis-1243	394	3	,	,	PUNCT
fis-1243	394	4	199	199	NUM
fis-1243	394	5	(	(	PUNCT
fis-1243	394	6	2010	2010	NUM
fis-1243	394	7	)	)	PUNCT
fis-1243	394	8	2753–2764	2753–2764	NOUN
fis-1243	394	9	.	.	PUNCT
fis-1243	395	1	[	[	X
fis-1243	395	2	26	26	NUM
fis-1243	395	3	]	]	X
fis-1243	395	4	petryk	petryk	PROPN
fis-1243	395	5	,	,	PUNCT
fis-1243	395	6	h	h	NOUN
fis-1243	395	7	,	,	PUNCT
fis-1243	395	8	incremental	incremental	ADJ
fis-1243	395	9	energy	energy	NOUN
fis-1243	395	10	minimization	minimization	NOUN
fis-1243	395	11	in	in	ADP
fis-1243	395	12	dissipative	dissipative	ADJ
fis-1243	395	13	solids	solid	NOUN
fis-1243	395	14	,	,	PUNCT
fis-1243	395	15	c.	c.	PROPN
fis-1243	395	16	r.	r.	PROPN
fis-1243	395	17	mec	mec	PROPN
fis-1243	395	18	.	.	PROPN
fis-1243	395	19	,	,	PUNCT
fis-1243	395	20	331	331	NUM
fis-1243	395	21	(	(	PUNCT
fis-1243	395	22	2003	2003	NUM
fis-1243	395	23	)	)	PUNCT
fis-1243	396	1	469–474	469–474	NUM
fis-1243	396	2	.	.	PUNCT
fis-1243	397	1	[	[	X
fis-1243	397	2	27	27	NUM
fis-1243	397	3	]	]	SYM
fis-1243	397	4	comi	comi	NOUN
fis-1243	397	5	,	,	PUNCT
fis-1243	397	6	c.	c.	NOUN
fis-1243	397	7	,	,	PUNCT
fis-1243	397	8	perego	perego	PROPN
fis-1243	397	9	,	,	PUNCT
fis-1243	397	10	u.	u.	PROPN
fis-1243	397	11	,	,	PUNCT
fis-1243	397	12	a	a	DET
fis-1243	397	13	unified	unified	ADJ
fis-1243	397	14	approach	approach	NOUN
fis-1243	397	15	for	for	ADP
fis-1243	397	16	variationally	variationally	ADV
fis-1243	397	17	consistent	consistent	ADJ
fis-1243	397	18	finite	finite	ADJ
fis-1243	397	19	elements	element	NOUN
fis-1243	397	20	in	in	ADP
fis-1243	397	21	elastoplasticity	elastoplasticity	NOUN
fis-1243	397	22	,	,	PUNCT
fis-1243	397	23	comput	comput	NOUN
fis-1243	397	24	.	.	PUNCT
fis-1243	398	1	meth	meth	NOUN
fis-1243	398	2	.	.	PUNCT
fis-1243	399	1	appl	appl	PROPN
fis-1243	399	2	.	.	PROPN
fis-1243	399	3	mech	mech	PROPN
fis-1243	399	4	.	.	PUNCT
fis-1243	400	1	eng	eng	PROPN
fis-1243	400	2	.	.	PROPN
fis-1243	400	3	,	,	PUNCT
fis-1243	400	4	121	121	NUM
fis-1243	400	5	(	(	PUNCT
fis-1243	400	6	1995	1995	NUM
fis-1243	400	7	)	)	PUNCT
fis-1243	401	1	323–344	323–344	NUM
fis-1243	401	2	.	.	PUNCT
fis-1243	402	1	[	[	X
fis-1243	402	2	28	28	NUM
fis-1243	402	3	]	]	X
fis-1243	402	4	reddy	reddy	PROPN
fis-1243	402	5	,	,	PUNCT
fis-1243	402	6	b.d	b.d	PROPN
fis-1243	402	7	.	.	PROPN
fis-1243	402	8	,	,	PUNCT
fis-1243	402	9	martin	martin	PROPN
fis-1243	402	10	j.b	j.b	PROPN
fis-1243	402	11	.	.	PROPN
fis-1243	402	12	,	,	PUNCT
fis-1243	402	13	algorithms	algorithm	NOUN
fis-1243	402	14	for	for	ADP
fis-1243	402	15	the	the	DET
fis-1243	402	16	solution	solution	NOUN
fis-1243	402	17	of	of	ADP
fis-1243	402	18	internal	internal	ADJ
fis-1243	402	19	variable	variable	ADJ
fis-1243	402	20	problems	problem	NOUN
fis-1243	402	21	in	in	ADP
fis-1243	402	22	plasticity	plasticity	NOUN
fis-1243	402	23	,	,	PUNCT
fis-1243	402	24	comput	comput	NOUN
fis-1243	402	25	.	.	PUNCT
fis-1243	403	1	meth	meth	NOUN
fis-1243	403	2	.	.	PUNCT
fis-1243	404	1	appl	appl	PROPN
fis-1243	404	2	.	.	PROPN
fis-1243	404	3	mech	mech	PROPN
fis-1243	404	4	.	.	PUNCT
fis-1243	405	1	eng	eng	PROPN
fis-1243	405	2	.	.	PROPN
fis-1243	405	3	,	,	PUNCT
fis-1243	405	4	93	93	NUM
fis-1243	405	5	(	(	PUNCT
fis-1243	405	6	1991	1991	NUM
fis-1243	405	7	)	)	PUNCT
fis-1243	405	8	253–273	253–273	NUM
fis-1243	405	9	.	.	PUNCT
fis-1243	406	1	[	[	X
fis-1243	406	2	29	29	NUM
fis-1243	406	3	]	]	SYM
fis-1243	406	4	nayak	nayak	PROPN
fis-1243	406	5	,	,	PUNCT
fis-1243	406	6	g.c	g.c	PROPN
fis-1243	406	7	.	.	PROPN
fis-1243	406	8	,	,	PUNCT
fis-1243	406	9	zienkiewicz	zienkiewicz	PROPN
fis-1243	406	10	,	,	PUNCT
fis-1243	406	11	o.c	o.c	PROPN
fis-1243	406	12	.	.	PROPN
fis-1243	406	13	,	,	PUNCT
fis-1243	406	14	convenient	convenient	ADJ
fis-1243	406	15	forms	form	NOUN
fis-1243	406	16	of	of	ADP
fis-1243	406	17	stress	stress	NOUN
fis-1243	406	18	invariants	invariant	NOUN
fis-1243	406	19	for	for	ADP
fis-1243	406	20	plasticity	plasticity	NOUN
fis-1243	406	21	,	,	PUNCT
fis-1243	406	22	proceedings	proceeding	NOUN
fis-1243	406	23	of	of	ADP
fis-1243	406	24	the	the	DET
fis-1243	406	25	asce	asce	PROPN
fis-1243	406	26	journal	journal	PROPN
fis-1243	406	27	of	of	ADP
fis-1243	406	28	the	the	DET
fis-1243	406	29	structural	structural	ADJ
fis-1243	406	30	division	division	NOUN
fis-1243	406	31	,	,	PUNCT
fis-1243	406	32	98(st4	98(st4	NUM
fis-1243	406	33	)	)	PUNCT
fis-1243	406	34	(	(	PUNCT
fis-1243	406	35	1972	1972	NUM
fis-1243	406	36	)	)	PUNCT
fis-1243	406	37	949–953	949–953	NUM
fis-1243	406	38	.	.	PUNCT
fis-1243	407	1	[	[	X
fis-1243	407	2	30	30	NUM
fis-1243	407	3	]	]	X
fis-1243	407	4	matzenmiller	matzenmiller	NOUN
fis-1243	407	5	,	,	PUNCT
fis-1243	407	6	a.	a.	PROPN
fis-1243	407	7	,	,	PUNCT
fis-1243	407	8	taylor	taylor	PROPN
fis-1243	407	9	,	,	PUNCT
fis-1243	407	10	r.l	r.l	PROPN
fis-1243	407	11	.	.	PROPN
fis-1243	407	12	,	,	PUNCT
fis-1243	407	13	a	a	DET
fis-1243	407	14	return	return	NOUN
fis-1243	407	15	mapping	mapping	NOUN
fis-1243	407	16	for	for	ADP
fis-1243	407	17	isotropic	isotropic	ADJ
fis-1243	407	18	elastoplasticity	elastoplasticity	NOUN
fis-1243	407	19	,	,	PUNCT
fis-1243	407	20	int	int	NOUN
fis-1243	407	21	.	.	PUNCT
fis-1243	408	1	j.	j.	PROPN
fis-1243	408	2	numer	numer	PROPN
fis-1243	408	3	.	.	PUNCT
fis-1243	409	1	methods	methods	PROPN
fis-1243	409	2	eng	eng	PROPN
fis-1243	409	3	.	.	PROPN
fis-1243	409	4	,	,	PUNCT
fis-1243	409	5	37	37	NUM
fis-1243	409	6	(	(	PUNCT
fis-1243	409	7	1994	1994	NUM
fis-1243	409	8	)	)	PUNCT
fis-1243	409	9	813–826	813–826	NUM
fis-1243	409	10	.	.	PUNCT
fis-1243	410	1	[	[	X
fis-1243	410	2	31	31	NUM
fis-1243	410	3	]	]	SYM
fis-1243	410	4	panteghini	panteghini	NOUN
fis-1243	410	5	,	,	PUNCT
fis-1243	410	6	a.	a.	NOUN
fis-1243	410	7	,	,	PUNCT
fis-1243	410	8	lagioia	lagioia	PROPN
fis-1243	410	9	,	,	PUNCT
fis-1243	410	10	r.	r.	PROPN
fis-1243	410	11	,	,	PUNCT
fis-1243	410	12	a	a	DET
fis-1243	410	13	fully	fully	ADV
fis-1243	410	14	convex	convex	ADJ
fis-1243	410	15	reformulation	reformulation	NOUN
fis-1243	410	16	of	of	ADP
fis-1243	410	17	the	the	DET
fis-1243	410	18	original	original	ADJ
fis-1243	410	19	matsuoka	matsuoka	NOUN
fis-1243	410	20	-	-	PUNCT
fis-1243	410	21	nakai	nakai	NOUN
fis-1243	410	22	failure	failure	NOUN
fis-1243	410	23	criterion	criterion	NOUN
fis-1243	410	24	and	and	CCONJ
fis-1243	410	25	its	its	PRON
fis-1243	410	26	implicit	implicit	ADJ
fis-1243	410	27	numerically	numerically	ADV
fis-1243	410	28	efficient	efficient	ADJ
fis-1243	410	29	integration	integration	NOUN
fis-1243	410	30	algorithm	algorithm	NOUN
fis-1243	410	31	,	,	PUNCT
fis-1243	410	32	int	int	NOUN
fis-1243	410	33	.	.	PUNCT
fis-1243	411	1	j.	j.	PROPN
fis-1243	411	2	numer	numer	PROPN
fis-1243	411	3	.	.	PUNCT
fis-1243	412	1	anal	anal	PROPN
fis-1243	412	2	.	.	PUNCT
fis-1243	413	1	methods	method	NOUN
fis-1243	413	2	geomech	geomech	PROPN
fis-1243	413	3	.	.	PUNCT
fis-1243	413	4	,	,	PUNCT
fis-1243	413	5	38	38	NUM
fis-1243	413	6	(	(	PUNCT
fis-1243	413	7	2014	2014	NUM
fis-1243	413	8	)	)	PUNCT
fis-1243	414	1	593–614	593–614	NUM
fis-1243	414	2	.	.	PUNCT
fis-1243	415	1	[	[	X
fis-1243	415	2	32	32	NUM
fis-1243	415	3	]	]	X
fis-1243	415	4	moreau	moreau	PROPN
fis-1243	415	5	,	,	PUNCT
fis-1243	415	6	j.j	j.j	PROPN
fis-1243	415	7	.	.	PROPN
fis-1243	415	8	,	,	PUNCT
fis-1243	415	9	on	on	ADP
fis-1243	415	10	unilateral	unilateral	ADJ
fis-1243	415	11	constraints	constraint	NOUN
fis-1243	415	12	,	,	PUNCT
fis-1243	415	13	friction	friction	NOUN
fis-1243	415	14	and	and	CCONJ
fis-1243	415	15	plasticity	plasticity	NOUN
fis-1243	415	16	,	,	PUNCT
fis-1243	415	17	springer	springer	NOUN
fis-1243	415	18	,	,	PUNCT
fis-1243	415	19	berlin	berlin	PROPN
fis-1243	415	20	(	(	PUNCT
fis-1243	415	21	1974	1974	NUM
fis-1243	415	22	)	)	PUNCT
fis-1243	415	23	.	.	PUNCT
fis-1243	416	1	[	[	X
fis-1243	416	2	33	33	NUM
fis-1243	416	3	]	]	X
fis-1243	416	4	biot	biot	PROPN
fis-1243	416	5	,	,	PUNCT
fis-1243	416	6	m.a	m.a	PROPN
fis-1243	416	7	.	.	PROPN
fis-1243	416	8	,	,	PUNCT
fis-1243	416	9	mechanics	mechanic	NOUN
fis-1243	416	10	of	of	ADP
fis-1243	416	11	incremental	incremental	ADJ
fis-1243	416	12	deformations	deformation	NOUN
fis-1243	416	13	,	,	PUNCT
fis-1243	416	14	wiley	wiley	NOUN
fis-1243	416	15	,	,	PUNCT
fis-1243	416	16	new	new	PROPN
fis-1243	416	17	york	york	PROPN
fis-1243	416	18	(	(	PUNCT
fis-1243	416	19	1965	1965	NUM
fis-1243	416	20	)	)	PUNCT
fis-1243	416	21	.	.	PUNCT
fis-1243	417	1	[	[	X
fis-1243	417	2	34	34	NUM
fis-1243	417	3	]	]	PUNCT
fis-1243	417	4	piccolroaz	piccolroaz	NOUN
fis-1243	417	5	,	,	PUNCT
fis-1243	417	6	a.	a.	NOUN
fis-1243	417	7	,	,	PUNCT
fis-1243	417	8	bigoni	bigoni	PROPN
fis-1243	417	9	,	,	PUNCT
fis-1243	417	10	d.	d.	PROPN
fis-1243	417	11	,	,	PUNCT
fis-1243	417	12	yield	yield	VERB
fis-1243	417	13	criteria	criterion	NOUN
fis-1243	417	14	for	for	ADP
fis-1243	417	15	quasibrittle	quasibrittle	ADJ
fis-1243	417	16	and	and	CCONJ
fis-1243	417	17	frictional	frictional	ADJ
fis-1243	417	18	materials	material	NOUN
fis-1243	417	19	:	:	PUNCT
fis-1243	417	20	a	a	DET
fis-1243	417	21	generalization	generalization	NOUN
fis-1243	417	22	to	to	ADP
fis-1243	417	23	surfaces	surface	NOUN
fis-1243	417	24	with	with	ADP
fis-1243	417	25	corners	corner	NOUN
fis-1243	417	26	,	,	PUNCT
fis-1243	417	27	int	int	NOUN
fis-1243	417	28	.	.	PUNCT
fis-1243	418	1	j.	j.	PROPN
fis-1243	418	2	solids	solids	PROPN
fis-1243	418	3	struct	struct	NOUN
fis-1243	418	4	.	.	PUNCT
fis-1243	418	5	,	,	PUNCT
fis-1243	418	6	46	46	NUM
fis-1243	418	7	(	(	PUNCT
fis-1243	418	8	2009	2009	NUM
fis-1243	418	9	)	)	PUNCT
fis-1243	418	10	3587–3596	3587–3596	NUM
fis-1243	418	11	.	.	PUNCT
fis-1243	419	1	[	[	X
fis-1243	419	2	35	35	NUM
fis-1243	419	3	]	]	PUNCT
fis-1243	419	4	wriggers	wrigger	NOUN
fis-1243	419	5	,	,	PUNCT
fis-1243	419	6	p.	p.	NOUN
fis-1243	419	7	,	,	PUNCT
fis-1243	419	8	nonlinear	nonlinear	ADJ
fis-1243	419	9	finite	finite	ADJ
fis-1243	419	10	element	element	NOUN
fis-1243	419	11	methods	method	NOUN
fis-1243	419	12	,	,	PUNCT
fis-1243	419	13	springer	springer	NOUN
fis-1243	419	14	,	,	PUNCT
fis-1243	419	15	berlin	berlin	PROPN
fis-1243	419	16	,	,	PUNCT
fis-1243	419	17	(	(	PUNCT
fis-1243	419	18	2008	2008	NUM
fis-1243	419	19	)	)	PUNCT
fis-1243	419	20	.	.	PUNCT
fis-1243	420	1	[	[	X
fis-1243	420	2	36	36	NUM
fis-1243	420	3	]	]	SYM
fis-1243	420	4	artioli	artioli	NOUN
fis-1243	420	5	,	,	PUNCT
fis-1243	420	6	e.	e.	PROPN
fis-1243	420	7	,	,	PUNCT
fis-1243	420	8	auricchio	auricchio	PROPN
fis-1243	420	9	,	,	PUNCT
fis-1243	420	10	f.	f.	PROPN
fis-1243	420	11	,	,	PUNCT
fis-1243	420	12	beirão	beirão	PROPN
fis-1243	420	13	da	da	PROPN
fis-1243	420	14	veiga	veiga	PROPN
fis-1243	420	15	,	,	PUNCT
fis-1243	420	16	l.	l.	PROPN
fis-1243	420	17	,	,	PUNCT
fis-1243	420	18	a	a	DET
fis-1243	420	19	novel	novel	NOUN
fis-1243	420	20	‘	'	PUNCT
fis-1243	420	21	optimal	optimal	ADJ
fis-1243	420	22	’	'	PUNCT
fis-1243	420	23	exponential	exponential	NOUN
fis-1243	420	24	-	-	PUNCT
fis-1243	420	25	based	base	VERB
fis-1243	420	26	integration	integration	NOUN
fis-1243	420	27	algorithm	algorithm	NOUN
fis-1243	420	28	for	for	ADP
fis-1243	420	29	vonmises	vonmise	NOUN
fis-1243	420	30	plasticity	plasticity	VERB
fis-1243	420	31	with	with	ADP
fis-1243	420	32	linear	linear	ADJ
fis-1243	420	33	hardening	hardening	NOUN
fis-1243	420	34	:	:	PUNCT
fis-1243	420	35	theoretical	theoretical	ADJ
fis-1243	420	36	analysis	analysis	NOUN
fis-1243	420	37	on	on	ADP
fis-1243	420	38	yield	yield	NOUN
fis-1243	420	39	consistency	consistency	NOUN
fis-1243	420	40	,	,	PUNCT
fis-1243	420	41	accuracy	accuracy	NOUN
fis-1243	420	42	,	,	PUNCT
fis-1243	420	43	convergence	convergence	NOUN
fis-1243	420	44	and	and	CCONJ
fis-1243	420	45	numerical	numerical	ADJ
fis-1243	420	46	investigations	investigation	NOUN
fis-1243	420	47	,	,	PUNCT
fis-1243	420	48	int	int	NOUN
fis-1243	420	49	.	.	PUNCT
fis-1243	421	1	j.	j.	PROPN
fis-1243	421	2	numer	numer	PROPN
fis-1243	421	3	.	.	PUNCT
fis-1243	422	1	methods	methods	PROPN
fis-1243	422	2	eng	eng	PROPN
fis-1243	422	3	.	.	PROPN
fis-1243	422	4	,	,	PUNCT
fis-1243	422	5	67	67	NUM
fis-1243	422	6	(	(	PUNCT
fis-1243	422	7	2006	2006	NUM
fis-1243	422	8	)	)	PUNCT
fis-1243	422	9	449–498	449–498	NUM
fis-1243	422	10	.	.	PUNCT
fis-1243	423	1	[	[	X
fis-1243	423	2	37	37	NUM
fis-1243	423	3	]	]	SYM
fis-1243	423	4	klinkel	klinkel	PROPN
fis-1243	423	5	,	,	PUNCT
fis-1243	423	6	s.	s.	PROPN
fis-1243	423	7	,	,	PUNCT
fis-1243	423	8	govindjee	govindjee	PROPN
fis-1243	423	9	,	,	PUNCT
fis-1243	423	10	s.	s.	PROPN
fis-1243	423	11	,	,	PUNCT
fis-1243	423	12	using	use	VERB
fis-1243	423	13	finite	finite	NOUN
fis-1243	423	14	strain	strain	NOUN
fis-1243	423	15	3d	3d	NUM
fis-1243	423	16	-	-	PUNCT
fis-1243	423	17	material	material	NOUN
fis-1243	423	18	models	model	NOUN
fis-1243	423	19	in	in	ADP
fis-1243	423	20	beam	beam	NOUN
fis-1243	423	21	and	and	CCONJ
fis-1243	423	22	shell	shell	ADJ
fis-1243	423	23	elements	element	NOUN
fis-1243	423	24	,	,	PUNCT
fis-1243	423	25	eng	eng	PROPN
fis-1243	423	26	.	.	PUNCT
fis-1243	423	27	comput	comput	PROPN
fis-1243	423	28	.	.	PUNCT
fis-1243	423	29	,	,	PUNCT
fis-1243	423	30	19	19	NUM
fis-1243	423	31	(	(	PUNCT
fis-1243	423	32	2002	2002	NUM
fis-1243	423	33	)	)	PUNCT
fis-1243	424	1	254–271	254–271	NUM
fis-1243	424	2	.	.	PUNCT
fis-1243	425	1	[	[	X
fis-1243	425	2	38	38	NUM
fis-1243	425	3	]	]	PUNCT
fis-1243	425	4	felippa	felippa	PROPN
fis-1243	425	5	,	,	PUNCT
fis-1243	425	6	c.a	c.a	PROPN
fis-1243	425	7	.	.	PROPN
fis-1243	425	8	,	,	PUNCT
fis-1243	425	9	a	a	DET
fis-1243	425	10	study	study	NOUN
fis-1243	425	11	of	of	ADP
fis-1243	425	12	optimal	optimal	ADJ
fis-1243	425	13	membrane	membrane	NOUN
fis-1243	425	14	triangles	triangle	NOUN
fis-1243	425	15	with	with	ADP
fis-1243	425	16	drilling	drilling	NOUN
fis-1243	425	17	freedoms	freedom	NOUN
fis-1243	425	18	,	,	PUNCT
fis-1243	425	19	comput	comput	NOUN
fis-1243	425	20	.	.	PUNCT
fis-1243	425	21	meth	meth	NOUN
fis-1243	425	22	.	.	PUNCT
fis-1243	426	1	appl	appl	PROPN
fis-1243	426	2	.	.	PROPN
fis-1243	426	3	mech	mech	PROPN
fis-1243	426	4	.	.	PUNCT
fis-1243	427	1	eng	eng	PROPN
fis-1243	427	2	.	.	PROPN
fis-1243	427	3	,	,	PUNCT
fis-1243	427	4	192	192	NUM
fis-1243	427	5	(	(	PUNCT
fis-1243	427	6	2003	2003	NUM
fis-1243	427	7	)	)	PUNCT
fis-1243	427	8	2125–2168	2125–2168	NUM
fis-1243	427	9	.	.	PUNCT
fis-1243	428	1	[	[	X
fis-1243	428	2	39	39	NUM
fis-1243	428	3	]	]	PUNCT
fis-1243	428	4	areias	areia	NOUN
fis-1243	428	5	,	,	PUNCT
fis-1243	428	6	p.	p.	PROPN
fis-1243	428	7	,	,	PUNCT
fis-1243	428	8	garção	garção	PROPN
fis-1243	428	9	,	,	PUNCT
fis-1243	428	10	j.	j.	PROPN
fis-1243	428	11	,	,	PUNCT
fis-1243	428	12	pires	pire	NOUN
fis-1243	428	13	,	,	PUNCT
fis-1243	428	14	e.b	e.b	PROPN
fis-1243	428	15	.	.	PROPN
fis-1243	428	16	,	,	PUNCT
fis-1243	428	17	infante	infante	PROPN
fis-1243	428	18	barbosa	barbosa	PROPN
fis-1243	428	19	j	j	PROPN
fis-1243	428	20	,	,	PUNCT
fis-1243	428	21	exact	exact	ADJ
fis-1243	428	22	corotational	corotational	ADJ
fis-1243	428	23	shell	shell	NOUN
fis-1243	428	24	for	for	ADP
fis-1243	428	25	finite	finite	ADJ
fis-1243	428	26	strains	strain	NOUN
fis-1243	428	27	and	and	CCONJ
fis-1243	428	28	fracture	fracture	NOUN
fis-1243	428	29	,	,	PUNCT
fis-1243	428	30	comput	comput	NOUN
fis-1243	428	31	.	.	PUNCT
fis-1243	429	1	mech	mech	PROPN
fis-1243	429	2	.	.	PROPN
fis-1243	430	1	,	,	PUNCT
fis-1243	431	1	48	48	NUM
fis-1243	431	2	(	(	PUNCT
fis-1243	431	3	2011	2011	NUM
fis-1243	431	4	)	)	PUNCT
fis-1243	431	5	384–406	384–406	NUM
fis-1243	431	6	.	.	PUNCT
fis-1243	432	1	n.a	n.a	PROPN
fis-1243	432	2	.	.	PROPN
fis-1243	432	3	nodargi	nodargi	PROPN
fis-1243	432	4	et	et	PROPN
fis-1243	432	5	alii	alii	PROPN
fis-1243	432	6	,	,	PUNCT
fis-1243	432	7	frattura	frattura	PROPN
fis-1243	432	8	ed	ed	PROPN
fis-1243	432	9	integrità	integrità	PROPN
fis-1243	432	10	strutturale	strutturale	PROPN
fis-1243	432	11	,	,	PUNCT
fis-1243	432	12	29	29	NUM
fis-1243	432	13	(	(	PUNCT
fis-1243	432	14	2014	2014	NUM
fis-1243	432	15	)	)	PUNCT
fis-1243	432	16	111	111	NUM
fis-1243	432	17	-	-	SYM
fis-1243	432	18	127	127	NUM
fis-1243	432	19	;	;	PUNCT
fis-1243	432	20	doi	doi	NOUN
fis-1243	432	21	:	:	PUNCT
fis-1243	432	22	10.3221	10.3221	NUM
fis-1243	432	23	/	/	SYM
fis-1243	432	24	igf	igf	PROPN
fis-1243	432	25	-	-	PUNCT
fis-1243	432	26	esis.29.11	esis.29.11	PROPN
fis-1243	432	27	123	123	NUM
fis-1243	432	28	[	[	X
fis-1243	432	29	40	40	NUM
fis-1243	432	30	]	]	PUNCT
fis-1243	432	31	caselli	caselli	PROPN
fis-1243	432	32	,	,	PUNCT
fis-1243	432	33	f.	f.	PROPN
fis-1243	432	34	,	,	PUNCT
fis-1243	432	35	bisegna	bisegna	VERB
fis-1243	432	36	,	,	PUNCT
fis-1243	432	37	p.	p.	NOUN
fis-1243	432	38	,	,	PUNCT
fis-1243	432	39	polar	polar	ADJ
fis-1243	432	40	decomposition	decomposition	NOUN
fis-1243	432	41	based	base	VERB
fis-1243	432	42	corotational	corotational	ADJ
fis-1243	432	43	framework	framework	NOUN
fis-1243	432	44	for	for	ADP
fis-1243	432	45	triangular	triangular	ADJ
fis-1243	432	46	shell	shell	NOUN
fis-1243	432	47	elements	element	NOUN
fis-1243	432	48	with	with	ADP
fis-1243	432	49	distributed	distribute	VERB
fis-1243	432	50	loads	load	NOUN
fis-1243	432	51	,	,	PUNCT
fis-1243	432	52	int	int	NOUN
fis-1243	432	53	.	.	PUNCT
fis-1243	433	1	j.	j.	PROPN
fis-1243	433	2	numer	numer	PROPN
fis-1243	433	3	.	.	PUNCT
fis-1243	434	1	methods	methods	PROPN
fis-1243	434	2	eng	eng	PROPN
fis-1243	434	3	.	.	PROPN
fis-1243	434	4	,	,	PUNCT
fis-1243	434	5	95	95	NUM
fis-1243	434	6	(	(	PUNCT
fis-1243	434	7	2013	2013	NUM
fis-1243	434	8	)	)	PUNCT
fis-1243	434	9	499–528	499–528	NUM
fis-1243	434	10	.	.	PUNCT
fis-1243	435	1	[	[	X
fis-1243	435	2	41	41	NUM
fis-1243	435	3	]	]	X
fis-1243	435	4	caselli	caselli	ADV
fis-1243	435	5	,	,	PUNCT
fis-1243	435	6	f.	f.	PROPN
fis-1243	435	7	,	,	PUNCT
fis-1243	435	8	bisegna	bisegna	VERB
fis-1243	435	9	,	,	PUNCT
fis-1243	435	10	p.	p.	NOUN
fis-1243	435	11	,	,	PUNCT
fis-1243	435	12	a	a	DET
fis-1243	435	13	corotational	corotational	ADJ
fis-1243	435	14	flat	flat	ADJ
fis-1243	435	15	triangular	triangular	NOUN
fis-1243	435	16	element	element	NOUN
fis-1243	435	17	for	for	ADP
fis-1243	435	18	large	large	ADJ
fis-1243	435	19	strain	strain	NOUN
fis-1243	435	20	analysis	analysis	NOUN
fis-1243	435	21	of	of	ADP
fis-1243	435	22	thin	thin	ADJ
fis-1243	435	23	shells	shell	NOUN
fis-1243	435	24	with	with	ADP
fis-1243	435	25	application	application	NOUN
fis-1243	435	26	to	to	ADP
fis-1243	435	27	soft	soft	ADJ
fis-1243	435	28	biological	biological	ADJ
fis-1243	435	29	tissues	tissue	NOUN
fis-1243	435	30	,	,	PUNCT
fis-1243	435	31	comput	comput	NOUN
fis-1243	435	32	.	.	PUNCT
fis-1243	436	1	mech	mech	PROPN
fis-1243	436	2	.	.	PUNCT
fis-1243	436	3	,	,	PUNCT
fis-1243	436	4	(	(	PUNCT
fis-1243	436	5	2014	2014	NUM
fis-1243	436	6	)	)	PUNCT
fis-1243	436	7	doi	doi	NOUN
fis-1243	436	8	:	:	PUNCT
fis-1243	436	9	10.1007	10.1007	NUM
fis-1243	436	10	/	/	SYM
fis-1243	436	11	s00466	s00466	PROPN
fis-1243	436	12	-	-	PUNCT
fis-1243	436	13	014	014	NUM
fis-1243	436	14	-	-	PUNCT
fis-1243	436	15	1038	1038	NUM
fis-1243	436	16	-	-	SYM
fis-1243	436	17	9	9	NUM
fis-1243	436	18	.	.	PUNCT
fis-1243	437	1	[	[	X
fis-1243	437	2	42	42	NUM
fis-1243	437	3	]	]	X
fis-1243	437	4	batoz	batoz	ADV
fis-1243	437	5	,	,	PUNCT
fis-1243	437	6	j.l	j.l	PROPN
fis-1243	437	7	.	.	PROPN
fis-1243	437	8	,	,	PUNCT
fis-1243	437	9	bathe	bathe	VERB
fis-1243	437	10	k.j	k.j	PROPN
fis-1243	437	11	.	.	PROPN
fis-1243	437	12	,	,	PUNCT
fis-1243	437	13	ho	ho	PROPN
fis-1243	437	14	l.w	l.w	PROPN
fis-1243	437	15	.	.	PROPN
fis-1243	437	16	,	,	PUNCT
fis-1243	437	17	a	a	DET
fis-1243	437	18	study	study	NOUN
fis-1243	437	19	of	of	ADP
fis-1243	437	20	three	three	NUM
fis-1243	437	21	-	-	PUNCT
fis-1243	437	22	node	node	NOUN
fis-1243	437	23	triangular	triangular	NOUN
fis-1243	437	24	plate	plate	NOUN
fis-1243	437	25	bending	bend	VERB
fis-1243	437	26	elements	element	NOUN
fis-1243	437	27	,	,	PUNCT
fis-1243	437	28	int	int	NOUN
fis-1243	437	29	.	.	PUNCT
fis-1243	438	1	j.	j.	PROPN
fis-1243	438	2	numer	numer	PROPN
fis-1243	438	3	.	.	PUNCT
fis-1243	439	1	methods	methods	PROPN
fis-1243	439	2	eng	eng	PROPN
fis-1243	439	3	.	.	PROPN
fis-1243	439	4	,	,	PUNCT
fis-1243	439	5	15	15	NUM
fis-1243	439	6	(	(	PUNCT
fis-1243	439	7	1980	1980	NUM
fis-1243	439	8	)	)	PUNCT
fis-1243	439	9	1771–1812	1771–1812	NUM
fis-1243	439	10	.	.	PUNCT
fis-1243	440	1	[	[	X
fis-1243	440	2	43	43	NUM
fis-1243	440	3	]	]	X
fis-1243	440	4	del	del	PROPN
fis-1243	440	5	piero	piero	PROPN
fis-1243	440	6	,	,	PUNCT
fis-1243	440	7	g.	g.	PROPN
fis-1243	440	8	,	,	PUNCT
fis-1243	440	9	some	some	DET
fis-1243	440	10	properties	property	NOUN
fis-1243	440	11	of	of	ADP
fis-1243	440	12	the	the	DET
fis-1243	440	13	set	set	NOUN
fis-1243	440	14	of	of	ADP
fis-1243	440	15	fourth	fourth	ADJ
fis-1243	440	16	-	-	PUNCT
fis-1243	440	17	order	order	NOUN
fis-1243	440	18	tensors	tensor	NOUN
fis-1243	440	19	,	,	PUNCT
fis-1243	440	20	with	with	ADP
fis-1243	440	21	application	application	NOUN
fis-1243	440	22	to	to	ADP
fis-1243	440	23	elasticity	elasticity	NOUN
fis-1243	440	24	,	,	PUNCT
fis-1243	440	25	j.	j.	PROPN
fis-1243	440	26	elast	elast	PROPN
fis-1243	440	27	.	.	PUNCT
fis-1243	440	28	,	,	PUNCT
fis-1243	440	29	9	9	NUM
fis-1243	440	30	(	(	PUNCT
fis-1243	440	31	1979	1979	NUM
fis-1243	440	32	)	)	PUNCT
fis-1243	440	33	245–261	245–261	NUM
fis-1243	440	34	.	.	PUNCT
fis-1243	441	1	[	[	X
fis-1243	441	2	44	44	NUM
fis-1243	441	3	]	]	SYM
fis-1243	441	4	lode	lode	PROPN
fis-1243	441	5	,	,	PUNCT
fis-1243	441	6	w.	w.	PROPN
fis-1243	441	7	,	,	PUNCT
fis-1243	441	8	versuche	versuche	PROPN
fis-1243	441	9	über	über	PROPN
fis-1243	441	10	den	den	PROPN
fis-1243	441	11	einfuss	einfuss	ADJ
fis-1243	441	12	der	der	NOUN
fis-1243	441	13	mittleren	mittleren	PROPN
fis-1243	441	14	hauptspannung	hauptspannung	PROPN
fis-1243	441	15	auf	auf	PROPN
fis-1243	441	16	das	das	PROPN
fis-1243	441	17	fliessen	fliessen	PROPN
fis-1243	441	18	der	der	PROPN
fis-1243	441	19	metalle	metalle	PROPN
fis-1243	441	20	eisen	eisen	NOUN
fis-1243	441	21	kupfer	kupfer	PROPN
fis-1243	441	22	und	und	NOUN
fis-1243	441	23	nickel	nickel	NOUN
fis-1243	441	24	,	,	PUNCT
fis-1243	441	25	zeitung	zeitung	PROPN
fis-1243	441	26	phys	phy	NOUN
fis-1243	441	27	.	.	PUNCT
fis-1243	441	28	,	,	PUNCT
fis-1243	441	29	36	36	NUM
fis-1243	441	30	(	(	PUNCT
fis-1243	441	31	1926	1926	NUM
fis-1243	441	32	)	)	PUNCT
fis-1243	441	33	913–939	913–939	NUM
fis-1243	441	34	.	.	PUNCT
fis-1243	442	1	[	[	X
fis-1243	442	2	45	45	NUM
fis-1243	442	3	]	]	SYM
fis-1243	442	4	asensio	asensio	PROPN
fis-1243	442	5	,	,	PUNCT
fis-1243	442	6	g.	g.	PROPN
fis-1243	442	7	,	,	PUNCT
fis-1243	442	8	moreno	moreno	PROPN
fis-1243	442	9	,	,	PUNCT
fis-1243	442	10	c.	c.	PROPN
fis-1243	442	11	,	,	PUNCT
fis-1243	442	12	linearization	linearization	NOUN
fis-1243	442	13	and	and	CCONJ
fis-1243	442	14	return	return	VERB
fis-1243	442	15	mapping	mapping	NOUN
fis-1243	442	16	algorithms	algorithm	NOUN
fis-1243	442	17	for	for	ADP
fis-1243	442	18	elastoplasticity	elastoplasticity	NOUN
fis-1243	442	19	models	model	NOUN
fis-1243	442	20	,	,	PUNCT
fis-1243	442	21	int	int	NOUN
fis-1243	442	22	.	.	PUNCT
fis-1243	443	1	j.	j.	PROPN
fis-1243	443	2	numer	numer	PROPN
fis-1243	443	3	.	.	PUNCT
fis-1243	444	1	methods	methods	PROPN
fis-1243	444	2	eng	eng	PROPN
fis-1243	444	3	.	.	PROPN
fis-1243	444	4	,	,	PUNCT
fis-1243	444	5	53	53	NUM
fis-1243	444	6	(	(	PUNCT
fis-1243	444	7	2002	2002	NUM
fis-1243	444	8	)	)	PUNCT
fis-1243	445	1	331–374	331–374	NUM
fis-1243	445	2	.	.	PUNCT
fis-1243	446	1	appendix	appendix	VERB
fis-1243	446	2	a	a	DET
fis-1243	446	3	:	:	PUNCT
fis-1243	446	4	haigh	haigh	NOUN
fis-1243	446	5	-	-	PUNCT
fis-1243	446	6	westergaard	westergaard	NOUN
fis-1243	446	7	coordinates	coordinate	NOUN
fis-1243	446	8	and	and	CCONJ
fis-1243	446	9	their	their	PRON
fis-1243	446	10	derivatives	derivative	NOUN
fis-1243	446	11	he	he	PRON
fis-1243	446	12	analysis	analysis	NOUN
fis-1243	446	13	of	of	ADP
fis-1243	446	14	isotropic	isotropic	ADJ
fis-1243	446	15	yield	yield	NOUN
fis-1243	446	16	functions	function	NOUN
fis-1243	446	17	can	can	AUX
fis-1243	446	18	be	be	AUX
fis-1243	446	19	pursued	pursue	VERB
fis-1243	446	20	by	by	ADP
fis-1243	446	21	disregarding	disregard	VERB
fis-1243	446	22	the	the	DET
fis-1243	446	23	orientation	orientation	NOUN
fis-1243	446	24	of	of	ADP
fis-1243	446	25	the	the	DET
fis-1243	446	26	stress	stress	NOUN
fis-1243	446	27	/	/	SYM
fis-1243	446	28	strain	strain	NOUN
fis-1243	446	29	principal	principal	ADJ
fis-1243	446	30	axes	axis	NOUN
fis-1243	446	31	and	and	CCONJ
fis-1243	446	32	using	use	VERB
fis-1243	446	33	three	three	NUM
fis-1243	446	34	isotropic	isotropic	ADJ
fis-1243	446	35	invariants	invariant	NOUN
fis-1243	446	36	.	.	PUNCT
fis-1243	447	1	the	the	DET
fis-1243	447	2	most	most	ADV
fis-1243	447	3	common	common	ADJ
fis-1243	447	4	invariants	invariant	NOUN
fis-1243	447	5	are	be	AUX
fis-1243	447	6	:	:	PUNCT
fis-1243	447	7	2	2	NUM
fis-1243	447	8	3	3	NUM
fis-1243	447	9	1	1	NUM
fis-1243	447	10	2	2	NUM
fis-1243	447	11	3	3	NUM
fis-1243	447	12	1	1	NUM
fis-1243	447	13	1	1	NUM
fis-1243	447	14	tr	tr	VERB
fis-1243	447	15	,	,	PUNCT
fis-1243	447	16	tr	tr	VERB
fis-1243	447	17	,	,	PUNCT
fis-1243	447	18	tr	tr	VERB
fis-1243	447	19	2	2	NUM
fis-1243	447	20	3	3	NUM
fis-1243	448	1	i	i	NOUN
fis-1243	448	2	j	j	PROPN
fis-1243	449	1	j	j	PROPN
fis-1243	449	2			PROPN
fis-1243	449	3	ε	ε	PROPN
fis-1243	449	4	e	e	X
fis-1243	449	5	e	e	X
fis-1243	449	6	(	(	PUNCT
fis-1243	449	7	a1	a1	PROPN
fis-1243	449	8	)	)	PUNCT
fis-1243	449	9	where	where	SCONJ
fis-1243	449	10	ε	ε	PROPN
fis-1243	449	11	is	be	AUX
fis-1243	449	12	a	a	DET
fis-1243	449	13	symmetric	symmetric	ADJ
fis-1243	449	14	second	second	ADJ
fis-1243	449	15	-	-	PUNCT
fis-1243	449	16	order	order	NOUN
fis-1243	449	17	tensor	tensor	NOUN
fis-1243	449	18	and	and	CCONJ
fis-1243	449	19	e	e	NOUN
fis-1243	449	20	is	be	AUX
fis-1243	449	21	its	its	PRON
fis-1243	449	22	deviatoric	deviatoric	ADJ
fis-1243	449	23	part	part	NOUN
fis-1243	449	24	,	,	PUNCT
fis-1243	449	25	defined	define	VERB
fis-1243	449	26	by	by	ADP
fis-1243	449	27	:	:	PUNCT
fis-1243	449	28	1	1	NUM
fis-1243	449	29	1	1	NUM
fis-1243	449	30	3	3	NUM
fis-1243	449	31	3	3	NUM
fis-1243	450	1	i	i	PRON
fis-1243	450	2			VERB
fis-1243	450	3			NOUN
fis-1243	450	4			PROPN
fis-1243	450	5			PROPN
fis-1243	450	6			PROPN
fis-1243	450	7			PROPN
fis-1243	450	8			PROPN
fis-1243	450	9			PROPN
fis-1243	450	10	e	e	X
fis-1243	450	11	ε	ε	PROPN
fis-1243	450	12	i	i	PRON
fis-1243	450	13	i	i	INTJ
fis-1243	450	14	i	i	PROPN
fis-1243	450	15	ε	ε	PROPN
fis-1243	450	16	(	(	PUNCT
fis-1243	450	17	a2	a2	PROPN
fis-1243	450	18	)	)	PUNCT
fis-1243	450	19	i	i	PRON
fis-1243	450	20	is	be	AUX
fis-1243	450	21	the	the	DET
fis-1243	450	22	second	second	ADJ
fis-1243	450	23	-	-	PUNCT
fis-1243	450	24	order	order	NOUN
fis-1243	450	25	identity	identity	NOUN
fis-1243	450	26	tensor	tensor	NOUN
fis-1243	450	27	,	,	PUNCT
fis-1243	450	28			X
fis-1243	450	29	is	be	AUX
fis-1243	450	30	the	the	DET
fis-1243	450	31	usual	usual	ADJ
fis-1243	450	32	dyadic	dyadic	ADJ
fis-1243	450	33	product	product	NOUN
fis-1243	450	34	between	between	ADP
fis-1243	450	35	second	second	ADJ
fis-1243	450	36	-	-	PUNCT
fis-1243	450	37	order	order	NOUN
fis-1243	450	38	tensors	tensor	NOUN
fis-1243	450	39	,	,	PUNCT
fis-1243	450	40	and	and	CCONJ
fis-1243	450	41			PROPN
fis-1243	450	42	is	be	AUX
fis-1243	450	43	the	the	DET
fis-1243	450	44	fourthorder	fourthorder	NOUN
fis-1243	450	45	identity	identity	NOUN
fis-1243	450	46	on	on	ADP
fis-1243	450	47	second	second	ADJ
fis-1243	450	48	-	-	PUNCT
fis-1243	450	49	order	order	NOUN
fis-1243	450	50	symmetric	symmetric	ADJ
fis-1243	450	51	tensors	tensor	NOUN
fis-1243	450	52	.	.	PUNCT
fis-1243	451	1	the	the	DET
fis-1243	451	2	gradients	gradient	NOUN
fis-1243	451	3	and	and	CCONJ
fis-1243	451	4	the	the	DET
fis-1243	451	5	hessians	hessian	NOUN
fis-1243	451	6	of	of	ADP
fis-1243	451	7	those	those	DET
fis-1243	451	8	invariants	invariant	NOUN
fis-1243	451	9	are	be	AUX
fis-1243	451	10	given	give	VERB
fis-1243	451	11	by	by	ADP
fis-1243	451	12	:	:	PUNCT
fis-1243	451	13			NOUN
fis-1243	451	14			SYM
fis-1243	451	15	1	1	NUM
fis-1243	451	16	1	1	NUM
fis-1243	451	17	2	2	NUM
fis-1243	451	18	2	2	NUM
fis-1243	451	19	2	2	NUM
fis-1243	451	20	2	2	NUM
fis-1243	451	21	3	3	NUM
fis-1243	451	22	3	3	NUM
fis-1243	451	23	,	,	PUNCT
fis-1243	451	24	1	1	NUM
fis-1243	451	25	,	,	PUNCT
fis-1243	451	26	3	3	NUM
fis-1243	451	27	2	2	NUM
fis-1243	451	28	2	2	NUM
fis-1243	451	29	,	,	PUNCT
fis-1243	451	30	3	3	NUM
fis-1243	451	31	3	3	NUM
fis-1243	451	32	i	i	PRON
fis-1243	451	33	i	i	PRON
fis-1243	451	34	j	j	PROPN
fis-1243	452	1	j	j	PROPN
fis-1243	452	2	j	j	PROPN
fis-1243	452	3	j	j	PROPN
fis-1243	452	4	j	j	PROPN
fis-1243	452	5			PROPN
fis-1243	452	6			NUM
fis-1243	452	7			NOUN
fis-1243	452	8			NUM
fis-1243	452	9			NOUN
fis-1243	452	10			NUM
fis-1243	452	11			ADJ
fis-1243	452	12			PROPN
fis-1243	452	13			NOUN
fis-1243	452	14			ADJ
fis-1243	452	15			PROPN
fis-1243	452	16			NUM
fis-1243	452	17			PROPN
fis-1243	452	18			PROPN
fis-1243	452	19			PROPN
fis-1243	452	20			ADV
fis-1243	452	21			PROPN
fis-1243	452	22			ADP
fis-1243	452	23			PROPN
fis-1243	452	24			ADP
fis-1243	453	1	i	i	NOUN
fis-1243	453	2	e	e	VERB
fis-1243	454	1	i	i	PRON
fis-1243	454	2	i	i	PRON
fis-1243	455	1	e	e	VERB
fis-1243	455	2	i	i	NOUN
fis-1243	455	3	e	e	VERB
fis-1243	456	1	i	i	PRON
fis-1243	456	2	i	i	NOUN
fis-1243	456	3	e	e	VERB
fis-1243	457	1	e	e	X
fis-1243	457	2	i	i	PRON
fis-1243	458	1	i	i	PRON
fis-1243	458	2	e	e	VERB
fis-1243	459	1			PROPN
fis-1243	459	2			PROPN
fis-1243	459	3			PROPN
fis-1243	459	4	(	(	PUNCT
fis-1243	459	5	a3	a3	NOUN
fis-1243	459	6	)	)	PUNCT
fis-1243	459	7	here	here	ADV
fis-1243	459	8	(	(	PUNCT
fis-1243	459	9	•)	•)	NOUN
fis-1243	459	10	denotes	denote	VERB
fis-1243	459	11	the	the	DET
fis-1243	459	12	derivative	derivative	NOUN
fis-1243	459	13	with	with	ADP
fis-1243	459	14	respect	respect	NOUN
fis-1243	459	15	to	to	ADP
fis-1243	459	16	ε	ε	PROPN
fis-1243	459	17	,	,	PUNCT
fis-1243	459	18			PROPN
fis-1243	459	19	is	be	AUX
fis-1243	459	20	the	the	DET
fis-1243	459	21	fourth	fourth	ADJ
fis-1243	459	22	-	-	PUNCT
fis-1243	459	23	order	order	NOUN
fis-1243	459	24	null	null	ADJ
fis-1243	459	25	tensor	tensor	NOUN
fis-1243	459	26	,	,	PUNCT
fis-1243	459	27			PROPN
fis-1243	459	28	denote	denote	VERB
fis-1243	459	29	the	the	DET
fis-1243	459	30	square	square	ADJ
fis-1243	459	31	tensor	tensor	NOUN
fis-1243	459	32	product	product	NOUN
fis-1243	459	33	between	between	ADP
fis-1243	459	34	second	second	ADJ
fis-1243	459	35	-	-	PUNCT
fis-1243	459	36	order	order	NOUN
fis-1243	459	37	tensors	tensor	NOUN
fis-1243	459	38	[	[	X
fis-1243	459	39	43	43	NUM
fis-1243	459	40	]	]	PUNCT
fis-1243	459	41	.	.	PUNCT
fis-1243	460	1	the	the	DET
fis-1243	460	2	analysis	analysis	NOUN
fis-1243	460	3	presented	present	VERB
fis-1243	460	4	herein	herein	NOUN
fis-1243	460	5	is	be	AUX
fis-1243	460	6	however	however	ADV
fis-1243	460	7	greatly	greatly	ADV
fis-1243	460	8	simplified	simplify	VERB
fis-1243	460	9	by	by	ADP
fis-1243	460	10	using	use	VERB
fis-1243	460	11	another	another	DET
fis-1243	460	12	set	set	NOUN
fis-1243	460	13	of	of	ADP
fis-1243	460	14	invariants	invariant	NOUN
fis-1243	460	15	,	,	PUNCT
fis-1243	460	16	known	know	VERB
fis-1243	460	17	as	as	ADP
fis-1243	460	18	haighwestergaard	haighwestergaard	ADJ
fis-1243	460	19	coordinates	coordinate	NOUN
fis-1243	460	20	[	[	X
fis-1243	460	21	29	29	NUM
fis-1243	460	22	,	,	PUNCT
fis-1243	460	23	44	44	NUM
fis-1243	460	24	]	]	PUNCT
fis-1243	460	25	,	,	PUNCT
fis-1243	460	26	defined	define	VERB
fis-1243	460	27	by	by	ADP
fis-1243	460	28	:	:	PUNCT
fis-1243	460	29	31	31	NUM
fis-1243	460	30	2	2	NUM
fis-1243	460	31	3/2	3/2	NUM
fis-1243	460	32	2	2	NUM
fis-1243	460	33	1	1	NUM
fis-1243	460	34	3	3	NUM
fis-1243	460	35	3	3	NUM
fis-1243	460	36	,	,	PUNCT
fis-1243	460	37	2	2	NUM
fis-1243	460	38	,	,	PUNCT
fis-1243	460	39	arccos	arcco	VERB
fis-1243	460	40	3	3	NUM
fis-1243	460	41	23	23	NUM
fis-1243	460	42	ji	ji	PROPN
fis-1243	460	43	j	j	PROPN
fis-1243	460	44	j	j	PROPN
fis-1243	460	45			PROPN
fis-1243	460	46			ADP
fis-1243	460	47			PROPN
fis-1243	460	48			NOUN
fis-1243	460	49			PROPN
fis-1243	461	1			PROPN
fis-1243	462	1			PRON
fis-1243	463	1			NOUN
fis-1243	464	1			PROPN
fis-1243	464	2			PROPN
fis-1243	465	1			PROPN
fis-1243	465	2			PROPN
fis-1243	465	3	(	(	PUNCT
fis-1243	465	4	a4	a4	NOUN
fis-1243	465	5	)	)	PUNCT
fis-1243	465	6	the	the	DET
fis-1243	465	7	gradients	gradient	NOUN
fis-1243	465	8	and	and	CCONJ
fis-1243	465	9	hessians	hessian	NOUN
fis-1243	465	10	of	of	ADP
fis-1243	465	11			NOUN
fis-1243	465	12	and	and	CCONJ
fis-1243	465	13			NOUN
fis-1243	465	14	are	be	AUX
fis-1243	465	15	straightforwardly	straightforwardly	ADV
fis-1243	465	16	derived	derive	VERB
fis-1243	465	17	:	:	PUNCT
fis-1243	465	18	2	2	NUM
fis-1243	465	19	2	2	NUM
fis-1243	465	20	2	2	NUM
fis-1243	465	21	2	2	NUM
fis-1243	465	22	3	3	NUM
fis-1243	465	23	,	,	PUNCT
fis-1243	465	24	3	3	NUM
fis-1243	465	25	,	,	PUNCT
fis-1243	465	26	j	j	PROPN
fis-1243	466	1	j	j	PROPN
fis-1243	466	2	j	j	PROPN
fis-1243	466	3	j	j	PROPN
fis-1243	466	4			NOUN
fis-1243	466	5			VERB
fis-1243	466	6			X
fis-1243	466	7			X
fis-1243	466	8			X
fis-1243	466	9			X
fis-1243	466	10			ADP
fis-1243	466	11			PROPN
fis-1243	466	12			NUM
fis-1243	466	13			NOUN
fis-1243	466	14			NUM
fis-1243	466	15			NOUN
fis-1243	466	16			NOUN
fis-1243	466	17			NOUN
fis-1243	466	18			ADJ
fis-1243	466	19			NOUN
fis-1243	466	20			NUM
fis-1243	466	21			NOUN
fis-1243	466	22			PROPN
fis-1243	466	23			PROPN
fis-1243	466	24	i	i	PRON
fis-1243	466	25			PROPN
fis-1243	466	26	(	(	PUNCT
fis-1243	466	27	a5	a5	PROPN
fis-1243	466	28	)	)	PUNCT
fis-1243	466	29	whereas	whereas	SCONJ
fis-1243	466	30	the	the	DET
fis-1243	466	31	derivation	derivation	NOUN
fis-1243	466	32	of	of	ADP
fis-1243	466	33			NOUN
fis-1243	466	34	and	and	CCONJ
fis-1243	466	35			NOUN
fis-1243	466	36	is	be	AUX
fis-1243	466	37	somewhat	somewhat	ADV
fis-1243	466	38	more	more	ADV
fis-1243	466	39	involved	involved	ADJ
fis-1243	466	40	.	.	PUNCT
fis-1243	467	1	to	to	ADP
fis-1243	467	2	this	this	DET
fis-1243	467	3	end	end	NOUN
fis-1243	467	4	,	,	PUNCT
fis-1243	467	5	the	the	DET
fis-1243	467	6	argument	argument	NOUN
fis-1243	467	7	in	in	ADP
fis-1243	467	8	[	[	X
fis-1243	467	9	45	45	NUM
fis-1243	467	10	]	]	PUNCT
fis-1243	467	11	is	be	AUX
fis-1243	467	12	briefly	briefly	ADV
fis-1243	467	13	sketched	sketch	VERB
fis-1243	467	14	,	,	PUNCT
fis-1243	467	15	and	and	CCONJ
fis-1243	467	16	the	the	DET
fis-1243	467	17	trihedron	trihedron	NOUN
fis-1243	467	18	1	1	NUM
fis-1243	467	19	2	2	NUM
fis-1243	467	20	3	3	NUM
fis-1243	467	21	{	{	PUNCT
fis-1243	467	22	,	,	PUNCT
fis-1243	467	23	,	,	PUNCT
fis-1243	467	24	}	}	PUNCT
fis-1243	467	25	f	f	PROPN
fis-1243	467	26	f	f	PROPN
fis-1243	467	27	f	f	PROPN
fis-1243	467	28	of	of	ADP
fis-1243	467	29	second	second	ADJ
fis-1243	467	30	-	-	PUNCT
fis-1243	467	31	order	order	NOUN
fis-1243	467	32	symmetric	symmetric	ADJ
fis-1243	467	33	tensors	tensor	NOUN
fis-1243	467	34	is	be	AUX
fis-1243	467	35	introduced	introduce	VERB
fis-1243	467	36	:	:	PUNCT
fis-1243	467	37	1	1	NUM
fis-1243	467	38	2	2	NUM
fis-1243	467	39	3	3	NUM
fis-1243	467	40	,	,	PUNCT
fis-1243	467	41	,	,	PUNCT
fis-1243	467	42			ADP
fis-1243	467	43			ADV
fis-1243	467	44			ADJ
fis-1243	467	45			NOUN
fis-1243	467	46			X
fis-1243	468	1			NUM
fis-1243	468	2	f	f	PROPN
fis-1243	468	3	f	f	PROPN
fis-1243	468	4	f	f	PROPN
fis-1243	468	5	(	(	PUNCT
fis-1243	468	6	a6	a6	NOUN
fis-1243	468	7	)	)	PUNCT
fis-1243	468	8	using	use	VERB
fis-1243	468	9	(	(	PUNCT
fis-1243	468	10	a4	a4	NOUN
fis-1243	468	11	)	)	PUNCT
fis-1243	468	12	,	,	PUNCT
fis-1243	468	13	(	(	PUNCT
fis-1243	468	14	a5	a5	PROPN
fis-1243	468	15	)	)	PUNCT
fis-1243	468	16	and	and	CCONJ
fis-1243	468	17	(	(	PUNCT
fis-1243	468	18	a3	a3	NOUN
fis-1243	468	19	)	)	PUNCT
fis-1243	468	20	,	,	PUNCT
fis-1243	468	21	it	it	PRON
fis-1243	468	22	turns	turn	VERB
fis-1243	468	23	out	out	ADP
fis-1243	468	24	that	that	SCONJ
fis-1243	468	25	:	:	PUNCT
fis-1243	468	26	t	t	PROPN
fis-1243	468	27	n.a	n.a	PROPN
fis-1243	468	28	.	.	PROPN
fis-1243	468	29	nodargi	nodargi	PROPN
fis-1243	468	30	et	et	PROPN
fis-1243	468	31	alii	alii	PROPN
fis-1243	468	32	,	,	PUNCT
fis-1243	468	33	frattura	frattura	PROPN
fis-1243	468	34	ed	ed	PROPN
fis-1243	468	35	integrità	integrità	PROPN
fis-1243	468	36	strutturale	strutturale	PROPN
fis-1243	468	37	,	,	PUNCT
fis-1243	468	38	29	29	NUM
fis-1243	468	39	(	(	PUNCT
fis-1243	468	40	2014	2014	NUM
fis-1243	468	41	)	)	PUNCT
fis-1243	468	42	111	111	NUM
fis-1243	468	43	-	-	SYM
fis-1243	468	44	127	127	NUM
fis-1243	468	45	;	;	PUNCT
fis-1243	468	46	doi	doi	NOUN
fis-1243	468	47	:	:	PUNCT
fis-1243	468	48	10.3221	10.3221	NUM
fis-1243	468	49	/	/	SYM
fis-1243	468	50	igf	igf	PROPN
fis-1243	468	51	-	-	PUNCT
fis-1243	468	52	esis.29.11	esis.29.11	PROPN
fis-1243	468	53	124	124	NUM
fis-1243	468	54	31	31	NUM
fis-1243	468	55	2	2	NUM
fis-1243	468	56	2	2	NUM
fis-1243	468	57	1	1	NUM
fis-1243	468	58	2	2	NUM
fis-1243	468	59	3	3	NUM
fis-1243	468	60	2	2	NUM
fis-1243	468	61	cos3	cos3	NOUN
fis-1243	468	62	6	6	NUM
fis-1243	468	63	,	,	PUNCT
fis-1243	468	64	,	,	PUNCT
fis-1243	468	65	sin	sin	VERB
fis-1243	468	66	3	3	NUM
fis-1243	468	67	sin	sin	NOUN
fis-1243	468	68	33	33	NUM
fis-1243	468	69	3	3	NUM
fis-1243	468	70	ji	ji	PROPN
fis-1243	468	71	j	j	PROPN
fis-1243	468	72	j	j	PROPN
fis-1243	468	73			ADP
fis-1243	468	74			ADP
fis-1243	468	75			PROPN
fis-1243	468	76			ADP
fis-1243	468	77			PROPN
fis-1243	468	78			PUNCT
fis-1243	468	79			PROPN
fis-1243	468	80			NOUN
fis-1243	468	81			NOUN
fis-1243	469	1			NUM
fis-1243	470	1			NOUN
fis-1243	471	1			NOUN
fis-1243	472	1			NUM
fis-1243	472	2			PROPN
fis-1243	472	3			NOUN
fis-1243	472	4	i	i	PRON
fis-1243	472	5	e	e	NOUN
fis-1243	472	6	f	f	PROPN
fis-1243	472	7	f	f	PROPN
fis-1243	472	8	f	f	PROPN
fis-1243	472	9	(	(	PUNCT
fis-1243	472	10	a7	a7	PROPN
fis-1243	472	11	)	)	PUNCT
fis-1243	472	12	the	the	DET
fis-1243	472	13	latter	latter	ADJ
fis-1243	472	14	equation	equation	NOUN
fis-1243	472	15	yields	yield	NOUN
fis-1243	472	16	by	by	ADP
fis-1243	472	17	(	(	PUNCT
fis-1243	472	18	a3	a3	NOUN
fis-1243	472	19	)	)	PUNCT
fis-1243	472	20	and	and	CCONJ
fis-1243	472	21	(	(	PUNCT
fis-1243	472	22	a4	a4	NUM
fis-1243	472	23	):	):	PUNCT
fis-1243	472	24	2	2	NUM
fis-1243	472	25	3	3	NUM
fis-1243	472	26	2	2	NUM
fis-1243	472	27	2	2	NUM
fis-1243	472	28	1	1	NUM
fis-1243	472	29	6	6	NUM
fis-1243	472	30	6	6	NUM
fis-1243	472	31	cos3	cos3	PROPN
fis-1243	472	32	3	3	NUM
fis-1243	472	33	sin	sin	NOUN
fis-1243	472	34	3	3	NUM
fis-1243	472	35	6	6	NUM
fis-1243	472	36	3	3	NUM
fis-1243	472	37			PROPN
fis-1243	472	38			PROPN
fis-1243	472	39			PROPN
fis-1243	472	40			ADJ
fis-1243	472	41			PROPN
fis-1243	472	42			PROPN
fis-1243	472	43			PROPN
fis-1243	472	44			PROPN
fis-1243	472	45			NOUN
fis-1243	472	46			VERB
fis-1243	472	47			PROPN
fis-1243	472	48	f	f	PROPN
fis-1243	472	49	f	f	PROPN
fis-1243	472	50	f	f	PROPN
fis-1243	472	51	f	f	PROPN
fis-1243	472	52	(	(	PUNCT
fis-1243	472	53	a8	a8	PROPN
fis-1243	472	54	)	)	PUNCT
fis-1243	472	55	whence	whence	NOUN
fis-1243	472	56			PROPN
fis-1243	472	57	follows	follow	VERB
fis-1243	472	58	by	by	ADP
fis-1243	472	59	(	(	PUNCT
fis-1243	472	60	a6	a6	NOUN
fis-1243	472	61	)	)	PUNCT
fis-1243	472	62	.	.	PUNCT
fis-1243	473	1	on	on	ADP
fis-1243	473	2	the	the	DET
fis-1243	473	3	other	other	ADJ
fis-1243	473	4	hand	hand	NOUN
fis-1243	473	5	,	,	PUNCT
fis-1243	473	6	eq	eq	NOUN
fis-1243	473	7	.	.	PUNCT
fis-1243	474	1	(	(	PUNCT
fis-1243	474	2	a7	a7	PROPN
fis-1243	474	3	)	)	PUNCT
fis-1243	474	4	can	can	AUX
fis-1243	474	5	be	be	AUX
fis-1243	474	6	recast	recast	VERB
fis-1243	474	7	as	as	ADP
fis-1243	474	8	3	3	NUM
fis-1243	474	9	3	3	NUM
fis-1243	474	10	2	2	NUM
fis-1243	474	11	2	2	NUM
fis-1243	474	12	6	6	NUM
fis-1243	474	13	sin	sin	NOUN
fis-1243	474	14	3	3	NUM
fis-1243	474	15	cos3	cos3	PROPN
fis-1243	474	16	j	j	PROPN
fis-1243	474	17			PROPN
fis-1243	474	18			PROPN
fis-1243	474	19			PART
fis-1243	475	1			PROPN
fis-1243	475	2			PROPN
fis-1243	475	3			PROPN
fis-1243	475	4	f	f	PROPN
fis-1243	475	5	f	f	X
fis-1243	475	6	(	(	PUNCT
fis-1243	475	7	a9	a9	PROPN
fis-1243	475	8	)	)	PUNCT
fis-1243	475	9	and	and	CCONJ
fis-1243	475	10	,	,	PUNCT
fis-1243	475	11	by	by	ADP
fis-1243	475	12	differentiating	differentiate	VERB
fis-1243	475	13	with	with	ADP
fis-1243	475	14	respect	respect	NOUN
fis-1243	475	15	to	to	ADP
fis-1243	475	16	ε	ε	PROPN
fis-1243	475	17	,	,	PUNCT
fis-1243	475	18	it	it	PRON
fis-1243	475	19	leads	lead	VERB
fis-1243	475	20	to	to	ADP
fis-1243	475	21	:	:	PUNCT
fis-1243	475	22			NOUN
fis-1243	475	23			PROPN
fis-1243	475	24	3	3	NUM
fis-1243	475	25	3	3	NUM
fis-1243	475	26	3	3	NUM
fis-1243	475	27	2	2	NUM
fis-1243	475	28	3	3	NUM
fis-1243	475	29	2	2	NUM
fis-1243	475	30	2	2	NUM
fis-1243	475	31	3	3	NUM
fis-1243	475	32	6	6	NUM
fis-1243	475	33	2	2	NUM
fis-1243	475	34	6	6	NUM
fis-1243	475	35	sin	sin	NOUN
fis-1243	475	36	3	3	NUM
fis-1243	475	37	cos3	cos3	PROPN
fis-1243	475	38	3	3	NUM
fis-1243	475	39	cos3	cos3	PROPN
fis-1243	475	40	sin	sin	VERB
fis-1243	475	41	3	3	NUM
fis-1243	475	42	j	j	PROPN
fis-1243	475	43	j	j	PROPN
fis-1243	475	44			ADP
fis-1243	475	45			PROPN
fis-1243	475	46			X
fis-1243	475	47			PROPN
fis-1243	475	48			PROPN
fis-1243	475	49			PROPN
fis-1243	476	1			ADP
fis-1243	476	2			PART
fis-1243	476	3			PROPN
fis-1243	476	4			NOUN
fis-1243	476	5			ADJ
fis-1243	476	6			ADJ
fis-1243	476	7			NOUN
fis-1243	476	8			NOUN
fis-1243	476	9			PUNCT
fis-1243	476	10			X
fis-1243	476	11			NUM
fis-1243	476	12			PROPN
fis-1243	476	13			PROPN
fis-1243	476	14	f	f	NOUN
fis-1243	476	15	f	f	PROPN
fis-1243	476	16	f	f	PROPN
fis-1243	476	17	f	f	PROPN
fis-1243	476	18	(	(	PUNCT
fis-1243	476	19	a10	a10	PROPN
fis-1243	476	20	)	)	PUNCT
fis-1243	476	21	noting	note	VERB
fis-1243	476	22	that	that	SCONJ
fis-1243	476	23	by	by	ADP
fis-1243	476	24	(	(	PUNCT
fis-1243	476	25	a9	a9	PROPN
fis-1243	476	26	)	)	PUNCT
fis-1243	476	27	,	,	PUNCT
fis-1243	476	28	(	(	PUNCT
fis-1243	476	29	a3	a3	NOUN
fis-1243	476	30	)	)	PUNCT
fis-1243	476	31	and	and	CCONJ
fis-1243	476	32	(	(	PUNCT
fis-1243	476	33	a7	a7	PROPN
fis-1243	476	34	)	)	PUNCT
fis-1243	476	35	it	it	PRON
fis-1243	476	36	turns	turn	VERB
fis-1243	476	37	out	out	ADP
fis-1243	476	38	that	that	SCONJ
fis-1243	476	39	:	:	PUNCT
fis-1243	476	40			NOUN
fis-1243	476	41			SYM
fis-1243	476	42			NOUN
fis-1243	476	43			PROPN
fis-1243	476	44	2	2	NUM
fis-1243	476	45	3	3	NUM
fis-1243	476	46	3	3	NUM
fis-1243	476	47	2	2	NUM
fis-1243	476	48	3	3	NUM
fis-1243	476	49	1	1	NUM
fis-1243	476	50	2	2	NUM
fis-1243	476	51	2	2	NUM
fis-1243	476	52	1	1	NUM
fis-1243	476	53	1	1	NUM
fis-1243	476	54	2	2	NUM
fis-1243	476	55	2	2	NUM
fis-1243	476	56	1	1	NUM
fis-1243	476	57	sin	sin	NOUN
fis-1243	476	58	3	3	NUM
fis-1243	476	59	cos3	cos3	PROPN
fis-1243	476	60	6	6	NUM
fis-1243	476	61	2	2	NUM
fis-1243	476	62	3	3	NUM
fis-1243	476	63	3	3	NUM
fis-1243	476	64	j	j	PROPN
fis-1243	476	65	j	j	PROPN
fis-1243	476	66			ADP
fis-1243	476	67			PROPN
fis-1243	476	68			PROPN
fis-1243	476	69			ADP
fis-1243	477	1			PROPN
fis-1243	477	2			PROPN
fis-1243	477	3			PROPN
fis-1243	477	4			PROPN
fis-1243	477	5			PROPN
fis-1243	477	6			PROPN
fis-1243	477	7			PROPN
fis-1243	477	8			ADV
fis-1243	477	9			PROPN
fis-1243	477	10			SYM
fis-1243	477	11			PROPN
fis-1243	477	12			PROPN
fis-1243	478	1			PROPN
fis-1243	478	2			PROPN
fis-1243	479	1	f	f	PROPN
fis-1243	480	1	f	f	PROPN
fis-1243	480	2	f	f	PROPN
fis-1243	481	1	f	f	X
fis-1243	481	2	f	f	X
fis-1243	482	1	f	f	PROPN
fis-1243	483	1	f	f	PROPN
fis-1243	484	1	f	f	X
fis-1243	484	2	f	f	PROPN
fis-1243	484	3	f	f	PROPN
fis-1243	484	4			PROPN
fis-1243	484	5	(	(	PUNCT
fis-1243	484	6	a11	a11	PROPN
fis-1243	484	7	)	)	PUNCT
fis-1243	484	8	and	and	CCONJ
fis-1243	484	9	by	by	ADP
fis-1243	484	10	(	(	PUNCT
fis-1243	484	11	a6	a6	NOUN
fis-1243	484	12	)	)	PUNCT
fis-1243	484	13	,	,	PUNCT
fis-1243	484	14	(	(	PUNCT
fis-1243	484	15	a5	a5	PROPN
fis-1243	484	16	)	)	PUNCT
fis-1243	484	17	and	and	CCONJ
fis-1243	484	18	(	(	PUNCT
fis-1243	484	19	a3	a3	NOUN
fis-1243	484	20	)	)	PUNCT
fis-1243	485	1	it	it	PRON
fis-1243	485	2	turns	turn	VERB
fis-1243	485	3	out	out	ADP
fis-1243	485	4	that	that	SCONJ
fis-1243	485	5	:	:	PUNCT
fis-1243	485	6			NOUN
fis-1243	485	7	2	2	NOUN
fis-1243	485	8	1	1	NUM
fis-1243	485	9	1	1	NUM
fis-1243	485	10	2	2	NUM
fis-1243	485	11	2	2	NUM
fis-1243	485	12	3	3	NUM
fis-1243	485	13	1	1	NUM
fis-1243	485	14	,	,	PUNCT
fis-1243	485	15			ADP
fis-1243	485	16			ADP
fis-1243	485	17			PROPN
fis-1243	485	18			PROPN
fis-1243	485	19			PROPN
fis-1243	485	20			ADP
fis-1243	485	21			PROPN
fis-1243	485	22			NOUN
fis-1243	485	23			PROPN
fis-1243	485	24			PROPN
fis-1243	485	25			PRON
fis-1243	485	26			PROPN
fis-1243	485	27			ADP
fis-1243	485	28			PROPN
fis-1243	485	29			NUM
fis-1243	485	30			PROPN
fis-1243	485	31			PUNCT
fis-1243	485	32	f	f	NOUN
fis-1243	485	33	f	f	PROPN
fis-1243	485	34	f	f	PROPN
fis-1243	485	35	f	f	PROPN
fis-1243	485	36	f	f	PROPN
fis-1243	485	37	f	f	PROPN
fis-1243	485	38	(	(	PUNCT
fis-1243	485	39	a12	a12	NUM
fis-1243	485	40	)	)	PUNCT
fis-1243	485	41	it	it	PRON
fis-1243	485	42	is	be	AUX
fis-1243	485	43	a	a	DET
fis-1243	485	44	simple	simple	ADJ
fis-1243	485	45	matter	matter	NOUN
fis-1243	485	46	to	to	PART
fis-1243	485	47	verify	verify	VERB
fis-1243	485	48	that	that	SCONJ
fis-1243	485	49	(	(	PUNCT
fis-1243	485	50	a10	a10	NOUN
fis-1243	485	51	)	)	PUNCT
fis-1243	485	52	yields	yield	NOUN
fis-1243	485	53	:	:	PUNCT
fis-1243	486	1			NOUN
fis-1243	486	2	1	1	NOUN
fis-1243	486	3	2	2	NUM
fis-1243	486	4	2	2	NUM
fis-1243	486	5	12	12	NUM
fis-1243	486	6	1	1	NUM
fis-1243	486	7	cos3	cos3	PROPN
fis-1243	486	8	3	3	NUM
fis-1243	486	9	2	2	NUM
fis-1243	486	10	sin	sin	NOUN
fis-1243	486	11	3	3	NUM
fis-1243	486	12	ij	ij	NOUN
fis-1243	487	1	i	i	PRON
fis-1243	487	2	j	j	VERB
fis-1243	487	3			PROPN
fis-1243	487	4			ADP
fis-1243	487	5			PROPN
fis-1243	488	1			PROPN
fis-1243	489	1			PROPN
fis-1243	489	2			PROPN
fis-1243	489	3			PROPN
fis-1243	489	4			VERB
fis-1243	489	5			PUNCT
fis-1243	489	6			NOUN
fis-1243	489	7			NOUN
fis-1243	489	8	f	f	NOUN
fis-1243	490	1	f	f	PROPN
fis-1243	490	2	f	f	PROPN
fis-1243	490	3	f	f	PROPN
fis-1243	490	4	f	f	PROPN
fis-1243	490	5	f	f	PROPN
fis-1243	490	6			PUNCT
fis-1243	490	7	(	(	PUNCT
fis-1243	490	8	a13	a13	PROPN
fis-1243	490	9	)	)	PUNCT
fis-1243	490	10	where	where	SCONJ
fis-1243	490	11	cos3	cos3	PROPN
fis-1243	490	12	2	2	NUM
fis-1243	490	13	2	2	NUM
fis-1243	490	14	0	0	NUM
fis-1243	490	15	2	2	NUM
fis-1243	490	16	2	2	NUM
fis-1243	490	17	cos3	cos3	NOUN
fis-1243	490	18	3sin	3sin	NUM
fis-1243	490	19	3	3	NUM
fis-1243	490	20	0	0	NUM
fis-1243	490	21	3sin	3sin	NUM
fis-1243	490	22	3	3	NUM
fis-1243	490	23	3cos3	3cos3	NUM
fis-1243	490	24			X
fis-1243	490	25			X
fis-1243	490	26			PROPN
fis-1243	490	27			PROPN
fis-1243	490	28			PROPN
fis-1243	490	29			PROPN
fis-1243	490	30			PROPN
fis-1243	491	1			PROPN
fis-1243	491	2			PROPN
fis-1243	491	3			NOUN
fis-1243	491	4			NOUN
fis-1243	491	5			NOUN
fis-1243	491	6			PROPN
fis-1243	492	1			PROPN
fis-1243	492	2			NOUN
fis-1243	493	1			PROPN
fis-1243	493	2			CCONJ
fis-1243	494	1			PROPN
fis-1243	494	2			PROPN
fis-1243	494	3	(	(	PUNCT
fis-1243	494	4	a14	a14	NOUN
fis-1243	494	5	)	)	PUNCT
fis-1243	494	6	alternative	alternative	ADJ
fis-1243	494	7	expressions	expression	NOUN
fis-1243	494	8	for	for	ADP
fis-1243	494	9			NOUN
fis-1243	494	10	and	and	CCONJ
fis-1243	494	11			NOUN
fis-1243	494	12	,	,	PUNCT
fis-1243	494	13	more	more	ADV
fis-1243	494	14	effective	effective	ADJ
fis-1243	494	15	from	from	ADP
fis-1243	494	16	a	a	DET
fis-1243	494	17	computational	computational	ADJ
fis-1243	494	18	point	point	NOUN
fis-1243	494	19	of	of	ADP
fis-1243	494	20	view	view	NOUN
fis-1243	494	21	,	,	PUNCT
fis-1243	494	22	are	be	AUX
fis-1243	494	23	:	:	PUNCT
fis-1243	494	24			NOUN
fis-1243	494	25			PROPN
fis-1243	494	26	3	3	NUM
fis-1243	494	27	22	22	NUM
fis-1243	494	28	23	23	NUM
fis-1243	494	29	2	2	NUM
fis-1243	494	30	2	2	NUM
fis-1243	494	31	22	22	NUM
fis-1243	494	32	2	2	NUM
fis-1243	494	33	3	3	NUM
fis-1243	494	34	2	2	NUM
fis-1243	494	35	2	2	NUM
fis-1243	494	36	3	3	NUM
fis-1243	494	37	3	3	NUM
fis-1243	494	38	2	2	NUM
fis-1243	494	39	3	3	NUM
fis-1243	494	40	3	3	NUM
fis-1243	494	41	3	3	NUM
fis-1243	494	42	4	4	NUM
fis-1243	494	43	1	1	NUM
fis-1243	494	44	cos3	cos3	PROPN
fis-1243	494	45	6	6	NUM
fis-1243	494	46	sin	sin	NOUN
fis-1243	494	47	3	3	NUM
fis-1243	494	48	1	1	NUM
fis-1243	494	49	1	1	NUM
fis-1243	494	50	cos3	cos3	PROPN
fis-1243	494	51	6	6	NUM
fis-1243	494	52	cos3	cos3	PROPN
fis-1243	494	53	2cos	2cos	PROPN
fis-1243	494	54	3	3	NUM
fis-1243	494	55	5	5	NUM
fis-1243	494	56	sin	sin	NOUN
fis-1243	494	57	3	3	NUM
fis-1243	494	58	sin	sin	NOUN
fis-1243	494	59	3	3	NUM
fis-1243	494	60	3	3	NUM
fis-1243	494	61	6	6	NUM
fis-1243	494	62	18cos3	18cos3	NUM
fis-1243	494	63	j	j	PROPN
fis-1243	494	64	j	j	PROPN
fis-1243	494	65	j	j	PROPN
fis-1243	495	1	j	j	PROPN
fis-1243	495	2	j	j	PROPN
fis-1243	495	3	j	j	PROPN
fis-1243	495	4	j	j	PROPN
fis-1243	496	1	j	j	PROPN
fis-1243	496	2	j	j	PROPN
fis-1243	496	3	j	j	PROPN
fis-1243	496	4	j	j	PROPN
fis-1243	496	5	j	j	X
fis-1243	496	6			PROPN
fis-1243	496	7			PROPN
fis-1243	496	8			ADP
fis-1243	496	9			PROPN
fis-1243	496	10			ADP
fis-1243	496	11			PROPN
fis-1243	496	12			X
fis-1243	496	13			PROPN
fis-1243	496	14			PROPN
fis-1243	496	15			ADP
fis-1243	496	16			PROPN
fis-1243	496	17			ADP
fis-1243	496	18			ADP
fis-1243	496	19			PROPN
fis-1243	496	20			ADP
fis-1243	496	21			PROPN
fis-1243	496	22			ADP
fis-1243	496	23			ADP
fis-1243	496	24			PROPN
fis-1243	496	25			NOUN
fis-1243	496	26			NOUN
fis-1243	496	27			PROPN
fis-1243	496	28			NOUN
fis-1243	496	29			NOUN
fis-1243	496	30			PROPN
fis-1243	496	31			NOUN
fis-1243	496	32			VERB
fis-1243	496	33			PROPN
fis-1243	496	34			PROPN
fis-1243	496	35			PROPN
fis-1243	496	36			ADJ
fis-1243	496	37			PROPN
fis-1243	496	38			NUM
fis-1243	496	39			PROPN
fis-1243	496	40			PROPN
fis-1243	496	41			VERB
fis-1243	496	42			PROPN
fis-1243	496	43			ADJ
fis-1243	496	44			PROPN
fis-1243	496	45			PROPN
fis-1243	496	46			NUM
fis-1243	496	47			NOUN
fis-1243	496	48			NUM
fis-1243	496	49			NOUN
fis-1243	496	50			PROPN
fis-1243	496	51			NOUN
fis-1243	496	52			NOUN
fis-1243	496	53			NOUN
fis-1243	496	54			NUM
fis-1243	496	55			VERB
fis-1243	496	56			PROPN
fis-1243	496	57			PROPN
fis-1243	496	58			VERB
fis-1243	496	59			NOUN
fis-1243	496	60			NOUN
fis-1243	496	61			PROPN
fis-1243	496	62			PROPN
fis-1243	496	63	(	(	PUNCT
fis-1243	496	64	a15	a15	PROPN
fis-1243	496	65	)	)	PUNCT
fis-1243	496	66	the	the	DET
fis-1243	496	67	expressions	expression	NOUN
fis-1243	496	68	for	for	ADP
fis-1243	496	69			NOUN
fis-1243	496	70	and	and	CCONJ
fis-1243	496	71			NOUN
fis-1243	496	72	derived	derive	VERB
fis-1243	496	73	in	in	ADP
fis-1243	496	74	(	(	PUNCT
fis-1243	496	75	a8	a8	PROPN
fis-1243	496	76	)	)	PUNCT
fis-1243	496	77	,	,	PUNCT
fis-1243	496	78	(	(	PUNCT
fis-1243	496	79	a6	a6	NOUN
fis-1243	496	80	)	)	PUNCT
fis-1243	496	81	and	and	CCONJ
fis-1243	496	82	(	(	PUNCT
fis-1243	496	83	a13	a13	PROPN
fis-1243	496	84	)	)	PUNCT
fis-1243	496	85	,	,	PUNCT
fis-1243	496	86	or	or	CCONJ
fis-1243	496	87	the	the	DET
fis-1243	496	88	alternative	alternative	ADJ
fis-1243	496	89	expressions	expression	NOUN
fis-1243	496	90	in	in	ADP
fis-1243	496	91	(	(	PUNCT
fis-1243	496	92	a15	a15	NOUN
fis-1243	496	93	)	)	PUNCT
fis-1243	496	94	,	,	PUNCT
fis-1243	496	95	get	get	AUX
fis-1243	496	96	greatly	greatly	ADV
fis-1243	496	97	simplified	simplified	ADJ
fis-1243	496	98	when	when	SCONJ
fis-1243	496	99	computed	compute	VERB
fis-1243	496	100	in	in	ADP
fis-1243	496	101	an	an	DET
fis-1243	496	102	orthonormal	orthonormal	ADJ
fis-1243	496	103	basis	basis	NOUN
fis-1243	496	104	of	of	ADP
fis-1243	496	105	eigenvectors	eigenvector	NOUN
fis-1243	496	106	of	of	ADP
fis-1243	496	107	ε	ε	PROPN
fis-1243	496	108	.	.	PUNCT
fis-1243	497	1	the	the	DET
fis-1243	497	2	tensor	tensor	NOUN
fis-1243	497	3	1f	1f	PROPN
fis-1243	497	4	is	be	AUX
fis-1243	497	5	spherical	spherical	ADJ
fis-1243	497	6	,	,	PUNCT
fis-1243	497	7	thus	thus	ADV
fis-1243	497	8	it	it	PRON
fis-1243	497	9	is	be	AUX
fis-1243	497	10	represented	represent	VERB
fis-1243	497	11	by	by	ADP
fis-1243	497	12			NOUN
fis-1243	497	13	diag	diag	PROPN
fis-1243	497	14	1;1;1	1;1;1	NUM
fis-1243	497	15	3	3	NUM
fis-1243	497	16	where	where	SCONJ
fis-1243	497	17			NOUN
fis-1243	497	18	diag	diag	PUNCT
fis-1243	497	19	•	•	NUM
fis-1243	497	20	denotes	denote	VERB
fis-1243	497	21	the	the	DET
fis-1243	497	22	diagonal	diagonal	ADJ
fis-1243	497	23	matrix	matrix	NOUN
fis-1243	497	24	with	with	ADP
fis-1243	497	25	the	the	DET
fis-1243	497	26	enclosed	enclose	VERB
fis-1243	497	27	eigenvalues	eigenvalue	NOUN
fis-1243	497	28	.	.	PUNCT
fis-1243	498	1	recalling	recall	VERB
fis-1243	498	2	(	(	PUNCT
fis-1243	498	3	a7	a7	PROPN
fis-1243	498	4	)	)	PUNCT
fis-1243	498	5	,	,	PUNCT
fis-1243	498	6	2f	2f	NUM
fis-1243	498	7	is	be	AUX
fis-1243	498	8	n.a	n.a	PROPN
fis-1243	498	9	.	.	PROPN
fis-1243	498	10	nodargi	nodargi	PROPN
fis-1243	498	11	et	et	PROPN
fis-1243	498	12	alii	alii	PROPN
fis-1243	498	13	,	,	PUNCT
fis-1243	498	14	frattura	frattura	PROPN
fis-1243	498	15	ed	ed	PROPN
fis-1243	498	16	integrità	integrità	PROPN
fis-1243	498	17	strutturale	strutturale	PROPN
fis-1243	498	18	,	,	PUNCT
fis-1243	498	19	29	29	NUM
fis-1243	498	20	(	(	PUNCT
fis-1243	498	21	2014	2014	NUM
fis-1243	498	22	)	)	PUNCT
fis-1243	498	23	111	111	NUM
fis-1243	498	24	-	-	SYM
fis-1243	498	25	127	127	NUM
fis-1243	498	26	;	;	PUNCT
fis-1243	498	27	doi	doi	NOUN
fis-1243	498	28	:	:	PUNCT
fis-1243	498	29	10.3221	10.3221	NUM
fis-1243	498	30	/	/	SYM
fis-1243	498	31	igf	igf	PROPN
fis-1243	498	32	-	-	PUNCT
fis-1243	498	33	esis.29.11	esis.29.11	PROPN
fis-1243	498	34	125	125	NUM
fis-1243	498	35	represented	represent	VERB
fis-1243	498	36	by	by	ADP
fis-1243	498	37			NOUN
fis-1243	498	38	1	1	PROPN
fis-1243	498	39	2	2	NUM
fis-1243	498	40	3diag	3diag	NUM
fis-1243	498	41	;	;	PUNCT
fis-1243	498	42	,	,	PUNCT
fis-1243	498	43	;	;	PUNCT
fis-1243	498	44	e	e	X
fis-1243	498	45	e	e	X
fis-1243	498	46	e	e	NOUN
fis-1243	498	47			ADP
fis-1243	498	48	where	where	SCONJ
fis-1243	498	49	i	i	PRON
fis-1243	498	50	,	,	PUNCT
fis-1243	498	51	1	1	NUM
fis-1243	498	52	,	,	PUNCT
fis-1243	498	53	...	...	PUNCT
fis-1243	498	54	,	,	PUNCT
fis-1243	499	1	3ie	3ie	NOUN
fis-1243	499	2			NOUN
fis-1243	499	3	are	be	AUX
fis-1243	499	4	the	the	DET
fis-1243	499	5	eigenvalues	eigenvalue	NOUN
fis-1243	499	6	of	of	ADP
fis-1243	499	7	e	e	NOUN
fis-1243	499	8	,	,	PUNCT
fis-1243	499	9	which	which	PRON
fis-1243	499	10	are	be	AUX
fis-1243	499	11	the	the	DET
fis-1243	499	12	roots	root	NOUN
fis-1243	499	13	of	of	ADP
fis-1243	499	14	the	the	DET
fis-1243	499	15	characteristic	characteristic	ADJ
fis-1243	499	16	polynomial	polynomial	NOUN
fis-1243	499	17	of	of	ADP
fis-1243	499	18	e	e	NOUN
fis-1243	499	19	:	:	PUNCT
fis-1243	499	20	3	3	NUM
fis-1243	499	21	2	2	NUM
fis-1243	499	22	3	3	NUM
fis-1243	499	23	0j	0j	NOUN
fis-1243	499	24	j	j	PROPN
fis-1243	499	25			NOUN
fis-1243	499	26			PUNCT
fis-1243	499	27			ADJ
fis-1243	499	28			PROPN
fis-1243	499	29	(	(	PUNCT
fis-1243	499	30	a16	a16	PROPN
fis-1243	499	31	)	)	PUNCT
fis-1243	499	32	using	use	VERB
fis-1243	499	33	(	(	PUNCT
fis-1243	499	34	a4	a4	NOUN
fis-1243	499	35	)	)	PUNCT
fis-1243	499	36	,	,	PUNCT
fis-1243	499	37	it	it	PRON
fis-1243	499	38	is	be	AUX
fis-1243	499	39	a	a	DET
fis-1243	499	40	simple	simple	ADJ
fis-1243	499	41	matter	matter	NOUN
fis-1243	499	42	to	to	PART
fis-1243	499	43	verify	verify	VERB
fis-1243	499	44	that	that	SCONJ
fis-1243	499	45	those	those	DET
fis-1243	499	46	roots	root	NOUN
fis-1243	499	47	are	be	AUX
fis-1243	499	48			NOUN
fis-1243	499	49	2	2	ADJ
fis-1243	499	50	3	3	NUM
fis-1243	499	51	cos	cos	NOUN
fis-1243	499	52	2	2	NUM
fis-1243	499	53	3	3	NUM
fis-1243	499	54	,	,	PUNCT
fis-1243	499	55	k	k	VERB
fis-1243	499	56			PROPN
fis-1243	499	57			ADP
fis-1243	499	58			PROPN
fis-1243	499	59	0	0	NOUN
fis-1243	499	60	,	,	PUNCT
fis-1243	499	61	-1,1	-1,1	PROPN
fis-1243	499	62	.k	.k	NOUN
fis-1243	500	1			NOUN
fis-1243	500	2	as	as	ADP
fis-1243	500	3	a	a	DET
fis-1243	500	4	consequence	consequence	NOUN
fis-1243	500	5	,	,	PUNCT
fis-1243	500	6	2f	2f	NUM
fis-1243	500	7	is	be	AUX
fis-1243	500	8	represented	represent	VERB
fis-1243	500	9	by	by	ADP
fis-1243	500	10	:	:	PUNCT
fis-1243	500	11			NOUN
fis-1243	501	1			PROPN
fis-1243	501	2			NOUN
fis-1243	501	3			PROPN
fis-1243	501	4	2	2	NUM
fis-1243	501	5	cos	cos	NOUN
fis-1243	501	6	0	0	NUM
fis-1243	501	7	0	0	NUM
fis-1243	501	8	2	2	NUM
fis-1243	501	9	0	0	NUM
fis-1243	501	10	cos	cos	PROPN
fis-1243	501	11	2	2	NUM
fis-1243	501	12	3	3	NUM
fis-1243	501	13	0	0	NUM
fis-1243	501	14	3	3	NUM
fis-1243	501	15	0	0	NUM
fis-1243	501	16	0	0	NUM
fis-1243	501	17	cos	cos	PROPN
fis-1243	501	18	2	2	NUM
fis-1243	501	19	3	3	NUM
fis-1243	501	20			NOUN
fis-1243	501	21			X
fis-1243	501	22			PROPN
fis-1243	501	23			X
fis-1243	501	24			PROPN
fis-1243	501	25			NOUN
fis-1243	501	26			PROPN
fis-1243	501	27			PROPN
fis-1243	501	28			NOUN
fis-1243	501	29			PROPN
fis-1243	501	30			PROPN
fis-1243	502	1			PROPN
fis-1243	502	2			PROPN
fis-1243	502	3			NOUN
fis-1243	502	4	f	f	X
fis-1243	502	5	(	(	PUNCT
fis-1243	502	6	a17	a17	PROPN
fis-1243	502	7	)	)	PUNCT
fis-1243	502	8	in	in	ADP
fis-1243	502	9	passing	pass	VERB
fis-1243	502	10	,	,	PUNCT
fis-1243	502	11	it	it	PRON
fis-1243	502	12	is	be	AUX
fis-1243	502	13	noted	note	VERB
fis-1243	502	14	that	that	SCONJ
fis-1243	502	15			PROPN
fis-1243	502	16	may	may	AUX
fis-1243	502	17	be	be	AUX
fis-1243	502	18	assumed	assume	VERB
fis-1243	502	19	to	to	PART
fis-1243	502	20	belong	belong	VERB
fis-1243	502	21	to	to	ADP
fis-1243	502	22	[	[	X
fis-1243	502	23	0	0	NUM
fis-1243	502	24	,	,	PUNCT
fis-1243	502	25	3]	3]	NUM
fis-1243	502	26	,	,	PUNCT
fis-1243	502	27	implying	imply	VERB
fis-1243	502	28	that	that	SCONJ
fis-1243	502	29	the	the	DET
fis-1243	502	30	eigenvalues	eigenvalue	NOUN
fis-1243	502	31	of	of	ADP
fis-1243	502	32	e	e	NOUN
fis-1243	502	33	are	be	AUX
fis-1243	502	34	sorted	sort	VERB
fis-1243	502	35	in	in	ADP
fis-1243	502	36	descending	descend	VERB
fis-1243	502	37	order	order	NOUN
fis-1243	502	38	.	.	PUNCT
fis-1243	503	1	substituting	substitute	VERB
fis-1243	503	2	1f	1f	NUM
fis-1243	503	3	and	and	CCONJ
fis-1243	503	4	2f	2f	NUM
fis-1243	503	5	into	into	ADP
fis-1243	503	6	(	(	PUNCT
fis-1243	503	7	a8	a8	PROPN
fis-1243	503	8	)	)	PUNCT
fis-1243	503	9	,	,	PUNCT
fis-1243	503	10	it	it	PRON
fis-1243	503	11	turns	turn	VERB
fis-1243	503	12	out	out	ADP
fis-1243	503	13	that	that	SCONJ
fis-1243	503	14	3f	3f	PROPN
fis-1243	503	15	is	be	AUX
fis-1243	503	16	represented	represent	VERB
fis-1243	503	17	by	by	ADP
fis-1243	503	18	:	:	PUNCT
fis-1243	503	19			NOUN
fis-1243	503	20			PROPN
fis-1243	503	21			NOUN
fis-1243	503	22			PROPN
fis-1243	503	23	3	3	NUM
fis-1243	503	24	sin	sin	NOUN
fis-1243	503	25	0	0	NUM
fis-1243	503	26	0	0	NUM
fis-1243	503	27	2	2	NUM
fis-1243	503	28	0	0	NUM
fis-1243	503	29	sin	sin	NOUN
fis-1243	503	30	2	2	NUM
fis-1243	503	31	3	3	NUM
fis-1243	503	32	0	0	NUM
fis-1243	503	33	3	3	NUM
fis-1243	503	34	0	0	NUM
fis-1243	503	35	0	0	NUM
fis-1243	503	36	sin	sin	NOUN
fis-1243	503	37	2	2	NUM
fis-1243	503	38	3	3	NUM
fis-1243	503	39			NOUN
fis-1243	503	40			X
fis-1243	503	41			PROPN
fis-1243	504	1			X
fis-1243	504	2			PROPN
fis-1243	504	3			NOUN
fis-1243	504	4			PROPN
fis-1243	504	5			PROPN
fis-1243	504	6			VERB
fis-1243	504	7			PROPN
fis-1243	504	8			PROPN
fis-1243	504	9			PROPN
fis-1243	505	1			PROPN
fis-1243	505	2			PROPN
fis-1243	505	3			NOUN
fis-1243	505	4	f	f	X
fis-1243	505	5	(	(	PUNCT
fis-1243	505	6	a18	a18	PROPN
fis-1243	505	7	)	)	PUNCT
fis-1243	505	8	analogously	analogously	ADV
fis-1243	505	9	,	,	PUNCT
fis-1243	505	10	substituting	substitute	VERB
fis-1243	505	11	the	the	DET
fis-1243	505	12	above	above	ADJ
fis-1243	505	13	representations	representation	NOUN
fis-1243	505	14	into	into	ADP
fis-1243	505	15	(	(	PUNCT
fis-1243	505	16	a13	a13	PROPN
fis-1243	505	17	)	)	PUNCT
fis-1243	505	18	,	,	PUNCT
fis-1243	505	19	the	the	DET
fis-1243	505	20	representation	representation	NOUN
fis-1243	505	21	of	of	ADP
fis-1243	505	22			NOUN
fis-1243	505	23	is	be	AUX
fis-1243	505	24	obtained	obtain	VERB
fis-1243	505	25	.	.	PUNCT
fis-1243	506	1	the	the	DET
fis-1243	506	2	only	only	ADJ
fis-1243	506	3	nonzero	nonzero	ADJ
fis-1243	506	4	terms	term	NOUN
fis-1243	506	5	turn	turn	VERB
fis-1243	506	6	out	out	ADP
fis-1243	506	7	to	to	PART
fis-1243	506	8	be	be	AUX
fis-1243	506	9	:	:	PUNCT
fis-1243	506	10			NOUN
fis-1243	506	11			SYM
fis-1243	506	12			NOUN
fis-1243	507	1			SYM
fis-1243	507	2			NOUN
fis-1243	507	3			SYM
fis-1243	507	4			NOUN
fis-1243	507	5			SYM
fis-1243	507	6			NOUN
fis-1243	507	7			SYM
fis-1243	507	8			NOUN
fis-1243	507	9			SYM
fis-1243	507	10			NOUN
fis-1243	507	11			SYM
fis-1243	507	12			NOUN
fis-1243	507	13			SYM
fis-1243	507	14			NOUN
fis-1243	507	15			SYM
fis-1243	507	16			NOUN
fis-1243	507	17			SYM
fis-1243	507	18			NOUN
fis-1243	507	19			SYM
fis-1243	507	20			NOUN
fis-1243	507	21			SYM
fis-1243	507	22			NOUN
fis-1243	507	23			SYM
fis-1243	507	24			NOUN
fis-1243	507	25			SYM
fis-1243	507	26			NOUN
fis-1243	507	27			SYM
fis-1243	507	28			NOUN
fis-1243	507	29			SYM
fis-1243	507	30			NOUN
fis-1243	507	31			PROPN
fis-1243	507	32	21111	21111	NUM
fis-1243	507	33	2233	2233	NUM
fis-1243	507	34	3322	3322	NUM
fis-1243	507	35	22222	22222	NUM
fis-1243	507	36	3311	3311	NUM
fis-1243	507	37	1133	1133	NUM
fis-1243	507	38	23333	23333	NUM
fis-1243	507	39	1122	1122	NUM
fis-1243	507	40	2211	2211	NUM
fis-1243	507	41	22323	22323	NUM
fis-1243	507	42	2332	2332	NUM
fis-1243	507	43	3223	3223	NUM
fis-1243	507	44	3232	3232	NUM
fis-1243	507	45	23131	23131	NUM
fis-1243	507	46	3113	3113	NUM
fis-1243	507	47	1331	1331	NUM
fis-1243	507	48	1313	1313	NUM
fis-1243	507	49	2	2	NUM
fis-1243	507	50	sin	sin	NOUN
fis-1243	507	51	2	2	NUM
fis-1243	507	52	3	3	NUM
fis-1243	507	53	2	2	NUM
fis-1243	507	54	2	2	NUM
fis-1243	507	55	sin	sin	NOUN
fis-1243	507	56	2	2	NUM
fis-1243	507	57	3	3	NUM
fis-1243	507	58	3	3	NUM
fis-1243	507	59	2	2	NUM
fis-1243	507	60	2	2	NUM
fis-1243	507	61	sin	sin	NOUN
fis-1243	507	62	2	2	NUM
fis-1243	507	63	3	3	NUM
fis-1243	507	64	3	3	NUM
fis-1243	507	65	1	1	NUM
fis-1243	507	66	cot	cot	NOUN
fis-1243	507	67	2	2	NUM
fis-1243	507	68	1	1	NUM
fis-1243	507	69	cot	cot	NOUN
fis-1243	507	70	2	2	NUM
fis-1243	507	71			NOUN
fis-1243	507	72			X
fis-1243	507	73			PROPN
fis-1243	507	74			PROPN
fis-1243	507	75			ADP
fis-1243	507	76			PROPN
fis-1243	507	77			X
fis-1243	507	78			PROPN
fis-1243	507	79			PROPN
fis-1243	507	80			PROPN
fis-1243	507	81			ADP
fis-1243	507	82			X
fis-1243	507	83			X
fis-1243	507	84			PROPN
fis-1243	507	85			PROPN
fis-1243	507	86			PROPN
fis-1243	507	87			ADP
fis-1243	507	88			X
fis-1243	507	89			X
fis-1243	507	90			PROPN
fis-1243	507	91			PROPN
fis-1243	507	92			PROPN
fis-1243	507	93			ADP
fis-1243	507	94			PROPN
fis-1243	507	95			X
fis-1243	507	96			PROPN
fis-1243	507	97			PROPN
fis-1243	507	98			PROPN
fis-1243	508	1			ADP
fis-1243	508	2			PROPN
fis-1243	509	1			NUM
fis-1243	509	2			NOUN
fis-1243	509	3			NUM
fis-1243	509	4			NOUN
fis-1243	509	5			NUM
fis-1243	509	6			NOUN
fis-1243	509	7			NUM
fis-1243	509	8			NUM
fis-1243	509	9			NOUN
fis-1243	509	10			NUM
fis-1243	509	11			NOUN
fis-1243	509	12			PROPN
fis-1243	509	13			PROPN
fis-1243	509	14			PROPN
fis-1243	510	1			ADJ
fis-1243	510	2			PROPN
fis-1243	510	3			VERB
fis-1243	510	4			NUM
fis-1243	511	1			NUM
fis-1243	511	2			NOUN
fis-1243	511	3			NUM
fis-1243	511	4			NOUN
fis-1243	511	5			PROPN
fis-1243	511	6			PROPN
fis-1243	511	7			CCONJ
fis-1243	511	8			PROPN
fis-1243	511	9			NOUN
fis-1243	511	10			NOUN
fis-1243	511	11			NUM
fis-1243	511	12			NOUN
fis-1243	512	1			NUM
fis-1243	512	2			NOUN
fis-1243	512	3			NUM
fis-1243	512	4			NOUN
fis-1243	513	1			NUM
fis-1243	513	2			NOUN
fis-1243	513	3			NUM
fis-1243	513	4			NOUN
fis-1243	514	1			NUM
fis-1243	514	2			NOUN
fis-1243	514	3			NUM
fis-1243	514	4			PROPN
fis-1243	514	5			PROPN
fis-1243	514	6			PROPN
fis-1243	514	7			NOUN
fis-1243	514	8			SYM
fis-1243	514	9			NOUN
fis-1243	514	10			SYM
fis-1243	514	11			NOUN
fis-1243	514	12			SYM
fis-1243	514	13			NOUN
fis-1243	514	14			PROPN
fis-1243	514	15	21212	21212	NUM
fis-1243	514	16	1221	1221	NUM
fis-1243	514	17	2112	2112	NUM
fis-1243	514	18	2121	2121	NUM
fis-1243	514	19	2	2	NUM
fis-1243	514	20	3	3	NUM
fis-1243	514	21	1	1	NUM
fis-1243	514	22	2	2	NUM
fis-1243	514	23	cot	cot	NOUN
fis-1243	514	24	2	2	NUM
fis-1243	514	25	3	3	NUM
fis-1243	514	26			NOUN
fis-1243	514	27			X
fis-1243	514	28			X
fis-1243	514	29			PROPN
fis-1243	514	30			PROPN
fis-1243	514	31			PROPN
fis-1243	514	32			PROPN
fis-1243	514	33			ADP
fis-1243	514	34			NOUN
fis-1243	514	35			PROPN
fis-1243	514	36			PROPN
fis-1243	514	37			PROPN
fis-1243	515	1			PROPN
fis-1243	515	2			PROPN
fis-1243	515	3			VERB
fis-1243	515	4			NUM
fis-1243	515	5			NUM
fis-1243	515	6			NOUN
fis-1243	515	7			NUM
fis-1243	515	8			NOUN
fis-1243	516	1			NUM
fis-1243	516	2			NOUN
fis-1243	516	3			PROPN
fis-1243	516	4			PROPN
fis-1243	516	5			CCONJ
fis-1243	516	6			PROPN
fis-1243	516	7			PROPN
fis-1243	516	8	(	(	PUNCT
fis-1243	516	9	a19	a19	PROPN
fis-1243	516	10	)	)	PUNCT
fis-1243	516	11	expressions	expression	NOUN
fis-1243	516	12	(	(	PUNCT
fis-1243	516	13	a18	a18	PROPN
fis-1243	516	14	)	)	PUNCT
fis-1243	516	15	was	be	AUX
fis-1243	516	16	reported	report	VERB
fis-1243	516	17	in	in	ADP
fis-1243	516	18	[	[	X
fis-1243	516	19	45	45	NUM
fis-1243	516	20	]	]	PUNCT
fis-1243	516	21	;	;	PUNCT
fis-1243	516	22	to	to	ADP
fis-1243	516	23	the	the	DET
fis-1243	516	24	best	good	ADJ
fis-1243	516	25	of	of	ADP
fis-1243	516	26	authors	author	NOUN
fis-1243	516	27	’	'	PUNCT
fis-1243	516	28	knowledge	knowledge	NOUN
fis-1243	516	29	,	,	PUNCT
fis-1243	516	30	(	(	PUNCT
fis-1243	516	31	a19	a19	PROPN
fis-1243	516	32	)	)	PUNCT
fis-1243	516	33	is	be	AUX
fis-1243	516	34	new	new	ADJ
fis-1243	516	35	.	.	PUNCT
fis-1243	517	1	it	it	PRON
fis-1243	517	2	is	be	AUX
fis-1243	517	3	emphasized	emphasize	VERB
fis-1243	517	4	that	that	SCONJ
fis-1243	517	5	the	the	DET
fis-1243	517	6	singularity	singularity	NOUN
fis-1243	517	7	of	of	ADP
fis-1243	517	8			NOUN
fis-1243	517	9	at	at	ADP
fis-1243	517	10	integer	integer	NOUN
fis-1243	517	11	multiples	multiple	NOUN
fis-1243	517	12	of	of	ADP
fis-1243	517	13	3	3	PROPN
fis-1243	517	14	,	,	PUNCT
fis-1243	517	15	due	due	ADP
fis-1243	517	16	to	to	ADP
fis-1243	517	17	the	the	DET
fis-1243	517	18	sin3	sin3	PROPN
fis-1243	517	19	term	term	NOUN
fis-1243	517	20	in	in	ADP
fis-1243	517	21	the	the	DET
fis-1243	517	22	denominator	denominator	NOUN
fis-1243	517	23	of	of	ADP
fis-1243	517	24	(	(	PUNCT
fis-1243	517	25	a8	a8	PROPN
fis-1243	517	26	)	)	PUNCT
fis-1243	517	27	or	or	CCONJ
fis-1243	517	28	(	(	PUNCT
fis-1243	517	29	a15	a15	NOUN
fis-1243	517	30	)	)	PUNCT
fis-1243	517	31	,	,	PUNCT
fis-1243	517	32	turns	turn	VERB
fis-1243	517	33	out	out	ADP
fis-1243	517	34	to	to	PART
fis-1243	517	35	be	be	AUX
fis-1243	517	36	removable	removable	ADJ
fis-1243	517	37	,	,	PUNCT
fis-1243	517	38	because	because	SCONJ
fis-1243	517	39	it	it	PRON
fis-1243	517	40	disappears	disappear	VERB
fis-1243	517	41	in	in	ADP
fis-1243	517	42	(	(	PUNCT
fis-1243	517	43	a18	a18	PROPN
fis-1243	517	44	)	)	PUNCT
fis-1243	517	45	.	.	PUNCT
fis-1243	518	1	on	on	ADP
fis-1243	518	2	the	the	DET
fis-1243	518	3	other	other	ADJ
fis-1243	518	4	hand	hand	NOUN
fis-1243	518	5	,	,	PUNCT
fis-1243	518	6	the	the	DET
fis-1243	518	7	“	"	PUNCT
fis-1243	518	8	shear	shear	NOUN
fis-1243	518	9	components	component	NOUN
fis-1243	518	10	”	"	PUNCT
fis-1243	518	11	of	of	ADP
fis-1243	518	12			NOUN
fis-1243	518	13	are	be	AUX
fis-1243	518	14	indeed	indeed	ADV
fis-1243	518	15	singular	singular	ADJ
fis-1243	518	16	at	at	ADP
fis-1243	518	17	integer	integer	NOUN
fis-1243	518	18	multiples	multiple	NOUN
fis-1243	518	19	of	of	ADP
fis-1243	518	20	3	3	PROPN
fis-1243	518	21	,	,	PUNCT
fis-1243	518	22	as	as	ADP
fis-1243	518	23	apparent	apparent	ADJ
fis-1243	518	24	by	by	ADP
fis-1243	518	25	(	(	PUNCT
fis-1243	518	26	a19	a19	PROPN
fis-1243	518	27	)	)	PUNCT
fis-1243	518	28	.	.	PUNCT
fis-1243	519	1	however	however	ADV
fis-1243	519	2	,	,	PUNCT
fis-1243	519	3			NOUN
fis-1243	519	4	only	only	ADV
fis-1243	519	5	appears	appear	VERB
fis-1243	519	6	in	in	ADP
fis-1243	519	7	(	(	PUNCT
fis-1243	519	8	24	24	NUM
fis-1243	519	9	)	)	PUNCT
fis-1243	519	10	,	,	PUNCT
fis-1243	519	11	multiplied	multiply	VERB
fis-1243	519	12	by	by	ADP
fis-1243	519	13	d	d	PROPN
fis-1243	519	14	.	.	PUNCT
fis-1243	520	1	using	use	VERB
fis-1243	520	2	(	(	PUNCT
fis-1243	520	3	23	23	NUM
fis-1243	520	4	)	)	PUNCT
fis-1243	520	5	and	and	CCONJ
fis-1243	520	6	recalling	recall	VERB
fis-1243	520	7	that	that	SCONJ
fis-1243	520	8	'	'	PUNCT
fis-1243	520	9	g	g	NOUN
fis-1243	520	10	vanishes	vanish	VERB
fis-1243	520	11	at	at	ADP
fis-1243	520	12	integer	integer	NOUN
fis-1243	520	13	multiple	multiple	NOUN
fis-1243	520	14	of	of	ADP
fis-1243	520	15	/	/	SYM
fis-1243	520	16	3	3	PROPN
fis-1243	520	17	,	,	PUNCT
fis-1243	520	18	it	it	PRON
fis-1243	520	19	turns	turn	VERB
fis-1243	520	20	out	out	ADP
fis-1243	520	21	that	that	SCONJ
fis-1243	520	22	the	the	DET
fis-1243	520	23	product	product	NOUN
fis-1243	520	24	d	d	X
fis-1243	520	25			X
fis-1243	520	26	has	have	VERB
fis-1243	520	27	removable	removable	ADJ
fis-1243	520	28	singularities	singularity	NOUN
fis-1243	520	29	there	there	ADV
fis-1243	520	30	,	,	PUNCT
fis-1243	520	31	thus	thus	ADV
fis-1243	520	32	allowing	allow	VERB
fis-1243	520	33	for	for	ADP
fis-1243	520	34	a	a	DET
fis-1243	520	35	stable	stable	ADJ
fis-1243	520	36	numerical	numerical	ADJ
fis-1243	520	37	computation	computation	NOUN
fis-1243	520	38	of	of	ADP
fis-1243	520	39	d	d	PROPN
fis-1243	520	40	.	.	PUNCT
fis-1243	521	1	appendix	appendix	PROPN
fis-1243	521	2	b	b	NOUN
fis-1243	521	3	:	:	PUNCT
fis-1243	521	4	gallery	gallery	NOUN
fis-1243	521	5	of	of	ADP
fis-1243	521	6	deviatoric	deviatoric	ADJ
fis-1243	521	7	yield	yield	NOUN
fis-1243	521	8	functions	function	NOUN
fis-1243	521	9	von	von	PROPN
fis-1243	521	10	mises	mises	PROPN
fis-1243	521	11	yield	yield	VERB
fis-1243	521	12	function	function	NOUN
fis-1243	521	13	eferring	eferre	VERB
fis-1243	521	14	to	to	ADP
fis-1243	521	15	the	the	DET
fis-1243	521	16	form	form	NOUN
fis-1243	521	17	reported	report	VERB
fis-1243	521	18	in	in	ADP
fis-1243	521	19	(	(	PUNCT
fis-1243	521	20	14	14	NUM
fis-1243	521	21	)	)	PUNCT
fis-1243	521	22	and	and	CCONJ
fis-1243	521	23	(	(	PUNCT
fis-1243	521	24	25	25	NUM
fis-1243	521	25	)	)	PUNCT
fis-1243	521	26	,	,	PUNCT
fis-1243	521	27	the	the	DET
fis-1243	521	28	von	von	PROPN
fis-1243	521	29	mises	mises	PROPN
fis-1243	521	30	yield	yield	NOUN
fis-1243	521	31	function	function	NOUN
fis-1243	521	32	is	be	AUX
fis-1243	521	33	obtained	obtain	VERB
fis-1243	521	34	by	by	ADP
fis-1243	521	35	assuming	assume	VERB
fis-1243	521	36	(	(	PUNCT
fis-1243	521	37	see	see	VERB
fis-1243	521	38	[	[	X
fis-1243	521	39	45	45	NUM
fis-1243	521	40	]	]	PUNCT
fis-1243	521	41	,	,	PUNCT
fis-1243	521	42	for	for	ADP
fis-1243	521	43	instance	instance	NOUN
fis-1243	521	44	):	):	PUNCT
fis-1243	521	45			PROPN
fis-1243	521	46	ˆ	ˆ	NOUN
fis-1243	521	47	1	1	NUM
fis-1243	521	48	g	g	NOUN
fis-1243	521	49			X
fis-1243	521	50	σ	σ	PROPN
fis-1243	521	51	(	(	PUNCT
fis-1243	521	52	b1	b1	PROPN
fis-1243	521	53	)	)	PUNCT
fis-1243	521	54	r	r	PROPN
fis-1243	521	55	n.a	n.a	PROPN
fis-1243	521	56	.	.	PROPN
fis-1243	521	57	nodargi	nodargi	PROPN
fis-1243	521	58	et	et	PROPN
fis-1243	521	59	alii	alii	PROPN
fis-1243	521	60	,	,	PUNCT
fis-1243	521	61	frattura	frattura	PROPN
fis-1243	521	62	ed	ed	PROPN
fis-1243	521	63	integrità	integrità	PROPN
fis-1243	521	64	strutturale	strutturale	PROPN
fis-1243	521	65	,	,	PUNCT
fis-1243	521	66	29	29	NUM
fis-1243	521	67	(	(	PUNCT
fis-1243	521	68	2014	2014	NUM
fis-1243	521	69	)	)	PUNCT
fis-1243	521	70	111	111	NUM
fis-1243	521	71	-	-	SYM
fis-1243	521	72	127	127	NUM
fis-1243	521	73	;	;	PUNCT
fis-1243	521	74	doi	doi	NOUN
fis-1243	521	75	:	:	PUNCT
fis-1243	521	76	10.3221	10.3221	NUM
fis-1243	521	77	/	/	SYM
fis-1243	521	78	igf	igf	PROPN
fis-1243	521	79	-	-	PUNCT
fis-1243	521	80	esis.29.11	esis.29.11	ADJ
fis-1243	521	81	126	126	NUM
fis-1243	521	82	figure	figure	NOUN
fis-1243	521	83	5	5	NUM
fis-1243	521	84	:	:	PUNCT
fis-1243	521	85	von	von	PROPN
fis-1243	521	86	mises	mises	PROPN
fis-1243	521	87	yield	yield	VERB
fis-1243	521	88	function	function	NOUN
fis-1243	521	89	.	.	PUNCT
fis-1243	522	1	(	(	PUNCT
fis-1243	522	2	a	a	X
fis-1243	522	3	)	)	PUNCT
fis-1243	522	4	yield	yield	NOUN
fis-1243	522	5	surface	surface	NOUN
fis-1243	522	6	;	;	PUNCT
fis-1243	522	7	(	(	PUNCT
fis-1243	522	8	b	b	X
fis-1243	522	9	)	)	PUNCT
fis-1243	522	10	dissipation	dissipation	NOUN
fis-1243	522	11	function	function	NOUN
fis-1243	522	12	graph	graph	NOUN
fis-1243	522	13	.	.	PUNCT
fis-1243	523	1	figure	figure	NOUN
fis-1243	523	2	6	6	NUM
fis-1243	523	3	:	:	PUNCT
fis-1243	523	4	von	von	PROPN
fis-1243	523	5	mises	mises	PROPN
fis-1243	523	6	–	–	PUNCT
fis-1243	523	7	tresca	tresca	NOUN
fis-1243	523	8	(	(	PUNCT
fis-1243	523	9	20	20	NUM
fis-1243	523	10	m	m	NOUN
fis-1243	523	11			NUM
fis-1243	523	12	)	)	PUNCT
fis-1243	523	13	yield	yield	NOUN
fis-1243	523	14	function	function	NOUN
fis-1243	523	15	.	.	PUNCT
fis-1243	524	1	(	(	PUNCT
fis-1243	524	2	a	a	X
fis-1243	524	3	)	)	PUNCT
fis-1243	524	4	yield	yield	NOUN
fis-1243	524	5	surface	surface	NOUN
fis-1243	524	6	;	;	PUNCT
fis-1243	524	7	(	(	PUNCT
fis-1243	524	8	b	b	X
fis-1243	524	9	)	)	PUNCT
fis-1243	524	10	deviatoric	deviatoric	ADJ
fis-1243	524	11	section	section	NOUN
fis-1243	524	12	of	of	ADP
fis-1243	524	13	the	the	DET
fis-1243	524	14	yield	yield	NOUN
fis-1243	524	15	surface	surface	NOUN
fis-1243	524	16	;	;	PUNCT
fis-1243	524	17	(	(	PUNCT
fis-1243	524	18	c	c	X
fis-1243	524	19	)	)	PUNCT
fis-1243	524	20	dissipation	dissipation	NOUN
fis-1243	524	21	function	function	NOUN
fis-1243	524	22	graph	graph	NOUN
fis-1243	524	23	;	;	PUNCT
fis-1243	524	24	(	(	PUNCT
fis-1243	524	25	d	d	X
fis-1243	524	26	)	)	PUNCT
fis-1243	524	27	unitary	unitary	ADJ
fis-1243	524	28	level	level	NOUN
fis-1243	524	29	set	set	NOUN
fis-1243	524	30	of	of	ADP
fis-1243	524	31	the	the	DET
fis-1243	524	32	dissipation	dissipation	NOUN
fis-1243	524	33	function	function	NOUN
fis-1243	524	34	.	.	PUNCT
fis-1243	525	1	fig	fig	NOUN
fis-1243	525	2	.	.	PUNCT
fis-1243	526	1	5	5	NUM
fis-1243	526	2	shows	show	VERB
fis-1243	526	3	the	the	DET
fis-1243	526	4	corresponding	correspond	VERB
fis-1243	526	5	yield	yield	NOUN
fis-1243	526	6	surface	surface	NOUN
fis-1243	526	7	and	and	CCONJ
fis-1243	526	8	dissipation	dissipation	NOUN
fis-1243	526	9	function	function	NOUN
fis-1243	526	10	graph	graph	NOUN
fis-1243	526	11	.	.	PUNCT
fis-1243	527	1	it	it	PRON
fis-1243	527	2	is	be	AUX
fis-1243	527	3	worth	worth	ADJ
fis-1243	527	4	noting	note	VERB
fis-1243	527	5	that	that	SCONJ
fis-1243	527	6	the	the	DET
fis-1243	527	7	dissipation	dissipation	NOUN
fis-1243	527	8	function	function	NOUN
fis-1243	527	9	results	result	VERB
fis-1243	527	10	convex	convex	PROPN
fis-1243	527	11	,	,	PUNCT
fis-1243	527	12	non	non	ADJ
fis-1243	527	13	-	-	ADJ
fis-1243	527	14	negative	negative	ADJ
fis-1243	527	15	,	,	PUNCT
fis-1243	527	16	zero	zero	NUM
fis-1243	527	17	only	only	ADV
fis-1243	527	18	at	at	ADP
fis-1243	527	19	the	the	DET
fis-1243	527	20	origin	origin	NOUN
fis-1243	527	21	and	and	CCONJ
fis-1243	527	22	positively	positively	ADV
fis-1243	527	23	homogeneous	homogeneous	ADJ
fis-1243	527	24	of	of	ADP
fis-1243	527	25	degree	degree	NOUN
fis-1243	527	26	one	one	NUM
fis-1243	527	27	.	.	PUNCT
fis-1243	528	1	the	the	DET
fis-1243	528	2	latter	latter	ADJ
fis-1243	528	3	feature	feature	NOUN
fis-1243	528	4	is	be	AUX
fis-1243	528	5	clear	clear	ADJ
fis-1243	528	6	from	from	ADP
fis-1243	528	7	its	its	PRON
fis-1243	528	8	cone	cone	NOUN
fis-1243	528	9	-	-	PUNCT
fis-1243	528	10	like	like	ADJ
fis-1243	528	11	graph	graph	NOUN
fis-1243	528	12	.	.	PUNCT
fis-1243	529	1	von	von	PROPN
fis-1243	529	2	mises	mises	PROPN
fis-1243	529	3	–	–	PUNCT
fis-1243	529	4	tresca	tresca	NOUN
fis-1243	529	5	yield	yield	NOUN
fis-1243	529	6	function	function	NOUN
fis-1243	529	7	the	the	DET
fis-1243	529	8	von	von	PROPN
fis-1243	529	9	mises	mises	PROPN
fis-1243	529	10	–	–	PUNCT
fis-1243	529	11	tresca	tresca	NOUN
fis-1243	529	12	yield	yield	NOUN
fis-1243	529	13	function	function	NOUN
fis-1243	529	14	corresponds	correspond	VERB
fis-1243	529	15	to	to	ADP
fis-1243	529	16	the	the	DET
fis-1243	529	17	choice	choice	NOUN
fis-1243	529	18	(	(	PUNCT
fis-1243	529	19	see	see	VERB
fis-1243	529	20	[	[	X
fis-1243	529	21	17	17	NUM
fis-1243	529	22	]	]	PUNCT
fis-1243	529	23	and	and	CCONJ
fis-1243	529	24	references	reference	NOUN
fis-1243	529	25	therein	therein	ADV
fis-1243	529	26	):	):	PUNCT
fis-1243	529	27	(	(	PUNCT
fis-1243	529	28	a	a	X
fis-1243	529	29	)	)	PUNCT
fis-1243	529	30	(	(	PUNCT
fis-1243	529	31	b	b	X
fis-1243	529	32	)	)	PUNCT
fis-1243	529	33	(	(	PUNCT
fis-1243	529	34	a	a	X
fis-1243	529	35	)	)	PUNCT
fis-1243	529	36	(	(	PUNCT
fis-1243	529	37	b	b	X
fis-1243	529	38	)	)	PUNCT
fis-1243	529	39	(	(	PUNCT
fis-1243	529	40	c	c	X
fis-1243	529	41	)	)	PUNCT
fis-1243	529	42	(	(	PUNCT
fis-1243	529	43	d	d	X
fis-1243	529	44	)	)	PUNCT
fis-1243	529	45	n.a	n.a	PROPN
fis-1243	529	46	.	.	PROPN
fis-1243	529	47	nodargi	nodargi	PROPN
fis-1243	529	48	et	et	PROPN
fis-1243	529	49	alii	alii	PROPN
fis-1243	529	50	,	,	PUNCT
fis-1243	529	51	frattura	frattura	PROPN
fis-1243	529	52	ed	ed	PROPN
fis-1243	529	53	integrità	integrità	PROPN
fis-1243	529	54	strutturale	strutturale	PROPN
fis-1243	529	55	,	,	PUNCT
fis-1243	529	56	29	29	NUM
fis-1243	529	57	(	(	PUNCT
fis-1243	529	58	2014	2014	NUM
fis-1243	529	59	)	)	PUNCT
fis-1243	529	60	111	111	NUM
fis-1243	529	61	-	-	SYM
fis-1243	529	62	127	127	NUM
fis-1243	529	63	;	;	PUNCT
fis-1243	529	64	doi	doi	NOUN
fis-1243	529	65	:	:	PUNCT
fis-1243	529	66	10.3221	10.3221	NUM
fis-1243	529	67	/	/	SYM
fis-1243	529	68	igf	igf	PROPN
fis-1243	529	69	-	-	PUNCT
fis-1243	529	70	esis.29.11	esis.29.11	PROPN
fis-1243	529	71	127	127	NUM
fis-1243	529	72			NOUN
fis-1243	529	73			SYM
fis-1243	529	74			NOUN
fis-1243	529	75			PUNCT
fis-1243	529	76			NOUN
fis-1243	529	77			NOUN
fis-1243	529	78	1	1	NUM
fis-1243	529	79	2	2	NUM
fis-1243	529	80	1	1	NUM
fis-1243	529	81	22	22	NUM
fis-1243	529	82	2	2	NUM
fis-1243	529	83	2	2	NUM
fis-1243	529	84	ˆ	ˆ	NOUN
fis-1243	529	85	1	1	NUM
fis-1243	529	86	2	2	NUM
fis-1243	529	87	3	3	NUM
fis-1243	529	88	2	2	NUM
fis-1243	529	89	2	2	NUM
fis-1243	529	90	3	3	NUM
fis-1243	529	91	3	3	NUM
fis-1243	529	92	m	m	NOUN
fis-1243	529	93	m	m	VERB
fis-1243	529	94	mm	mm	INTJ
fis-1243	529	95	m	m	PROPN
fis-1243	529	96	mdg	mdg	PROPN
fis-1243	529	97	d	d	X
fis-1243	529	98	d	d	NOUN
fis-1243	529	99			PROPN
fis-1243	529	100			PROPN
fis-1243	529	101			ADJ
fis-1243	529	102	σ	σ	PROPN
fis-1243	529	103	(	(	PUNCT
fis-1243	529	104	b2	b2	NOUN
fis-1243	529	105	)	)	PUNCT
fis-1243	529	106	where	where	SCONJ
fis-1243	529	107			NOUN
fis-1243	529	108			SYM
fis-1243	529	109			NOUN
fis-1243	529	110			SYM
fis-1243	529	111			NOUN
fis-1243	529	112			SYM
fis-1243	529	113			NOUN
fis-1243	529	114			SYM
fis-1243	529	115			NOUN
fis-1243	529	116			PUNCT
fis-1243	529	117			NOUN
fis-1243	529	118	ˆ	ˆ	NOUN
fis-1243	529	119	ˆ	ˆ	NOUN
fis-1243	529	120	ˆ	ˆ	NOUN
fis-1243	529	121	ˆ	ˆ	ADJ
fis-1243	529	122	ˆ2	ˆ2	VERB
fis-1243	529	123	ˆ1	ˆ1	NOUN
fis-1243	529	124	3cos	3cos	PROPN
fis-1243	529	125	cos	cos	NOUN
fis-1243	529	126	2	2	NUM
fis-1243	529	127	3	3	NUM
fis-1243	529	128	,	,	PUNCT
fis-1243	529	129	cos	cos	PROPN
fis-1243	529	130	2	2	NUM
fis-1243	529	131	3	3	NUM
fis-1243	529	132	cos	cos	PROPN
fis-1243	529	133	2	2	NUM
fis-1243	529	134	3	3	NUM
fis-1243	529	135	,	,	PUNCT
fis-1243	529	136	cos	cos	PROPN
fis-1243	529	137	2	2	NUM
fis-1243	529	138	3	3	NUM
fis-1243	529	139	cosd	cosd	NOUN
fis-1243	529	140	d	d	X
fis-1243	529	141	d	d	NOUN
fis-1243	529	142			X
fis-1243	529	143			X
fis-1243	529	144			X
fis-1243	529	145			X
fis-1243	529	146			X
fis-1243	529	147			ADJ
fis-1243	529	148			PROPN
fis-1243	529	149			PROPN
fis-1243	529	150			PROPN
fis-1243	529	151			PROPN
fis-1243	529	152			PROPN
fis-1243	529	153			NOUN
fis-1243	530	1			NOUN
fis-1243	531	1			PROPN
fis-1243	531	2			PROPN
fis-1243	531	3	σ	σ	VERB
fis-1243	531	4	σ	σ	PROPN
fis-1243	531	5	σ	σ	PROPN
fis-1243	531	6	σ	σ	PROPN
fis-1243	531	7	σ	σ	PROPN
fis-1243	531	8	σ	σ	PROPN
fis-1243	531	9	(	(	PUNCT
fis-1243	531	10	b3	b3	PROPN
fis-1243	531	11	)	)	PUNCT
fis-1243	531	12	the	the	DET
fis-1243	531	13	material	material	NOUN
fis-1243	531	14	parameter	parameter	NOUN
fis-1243	531	15	m	m	PROPN
fis-1243	531	16	determines	determine	VERB
fis-1243	531	17	the	the	DET
fis-1243	531	18	shape	shape	NOUN
fis-1243	531	19	of	of	ADP
fis-1243	531	20	the	the	DET
fis-1243	531	21	yield	yield	NOUN
fis-1243	531	22	surface	surface	NOUN
fis-1243	531	23	.	.	PUNCT
fis-1243	532	1	in	in	ADP
fis-1243	532	2	particular	particular	ADJ
fis-1243	532	3	in	in	ADP
fis-1243	532	4	the	the	DET
fis-1243	532	5	limit	limit	NOUN
fis-1243	532	6	of	of	ADP
fis-1243	532	7	0	0	NUM
fis-1243	532	8	m	m	NOUN
fis-1243	532	9			NOUN
fis-1243	532	10	[	[	PUNCT
fis-1243	532	11	resp	resp	NOUN
fis-1243	532	12	.	.	PUNCT
fis-1243	532	13	,	,	PUNCT
fis-1243	532	14	m	m	AUX
fis-1243	532	15			NOUN
fis-1243	532	16	]	]	PUNCT
fis-1243	532	17	the	the	DET
fis-1243	532	18	von	von	PROPN
fis-1243	532	19	mises	mises	PROPN
fis-1243	532	20	circle	circle	PROPN
fis-1243	533	1	[	[	X
fis-1243	533	2	resp	resp	NOUN
fis-1243	533	3	.	.	PUNCT
fis-1243	534	1	the	the	DET
fis-1243	534	2	tresca	tresca	NOUN
fis-1243	534	3	hexagon	hexagon	NOUN
fis-1243	534	4	]	]	PUNCT
fis-1243	534	5	is	be	AUX
fis-1243	534	6	recovered	recover	VERB
fis-1243	534	7	.	.	PUNCT
fis-1243	535	1	high	high	ADJ
fis-1243	535	2	curvature	curvature	NOUN
fis-1243	535	3	of	of	ADP
fis-1243	535	4	the	the	DET
fis-1243	535	5	yield	yield	NOUN
fis-1243	535	6	surface	surface	NOUN
fis-1243	535	7	corresponds	correspond	VERB
fis-1243	535	8	to	to	ADP
fis-1243	535	9	high	high	ADJ
fis-1243	535	10	values	value	NOUN
fis-1243	535	11	of	of	ADP
fis-1243	535	12	the	the	DET
fis-1243	535	13	parameter	parameter	NOUN
fis-1243	535	14	m	m	PROPN
fis-1243	535	15	.	.	PUNCT
fis-1243	536	1	for	for	ADP
fis-1243	536	2	20	20	NUM
fis-1243	536	3	m	m	NOUN
fis-1243	536	4			NOUN
fis-1243	536	5	the	the	DET
fis-1243	536	6	discrepancy	discrepancy	NOUN
fis-1243	536	7	between	between	ADP
fis-1243	536	8	this	this	DET
fis-1243	536	9	yield	yield	NOUN
fis-1243	536	10	surface	surface	NOUN
fis-1243	536	11	and	and	CCONJ
fis-1243	536	12	the	the	DET
fis-1243	536	13	tresca	tresca	NOUN
fis-1243	536	14	hexagon	hexagon	NOUN
fis-1243	536	15	is	be	AUX
fis-1243	536	16	less	less	ADJ
fis-1243	536	17	than	than	ADP
fis-1243	536	18	2	2	NUM
fis-1243	536	19	per	per	ADP
fis-1243	536	20	cent	cent	NOUN
fis-1243	536	21	[	[	X
fis-1243	536	22	17	17	NUM
fis-1243	536	23	]	]	SYM
fis-1243	536	24	:	:	PUNCT
fis-1243	536	25	fig	fig	NOUN
fis-1243	536	26	.	.	PUNCT
fis-1243	537	1	6	6	NUM
fis-1243	537	2	depicts	depict	VERB
fis-1243	537	3	the	the	DET
fis-1243	537	4	von	von	PROPN
fis-1243	537	5	mises	mises	PROPN
fis-1243	537	6	–	–	PUNCT
fis-1243	537	7	tresca	tresca	NOUN
fis-1243	537	8	yield	yield	NOUN
fis-1243	537	9	surface	surface	NOUN
fis-1243	537	10	and	and	CCONJ
fis-1243	537	11	the	the	DET
fis-1243	537	12	corresponding	corresponding	ADJ
fis-1243	537	13	dissipation	dissipation	NOUN
fis-1243	537	14	function	function	NOUN
fis-1243	537	15	graph	graph	NOUN
fis-1243	537	16	.	.	PUNCT
fis-1243	538	1	fig	fig	NOUN
fis-1243	538	2	.	.	PUNCT
fis-1243	539	1	6(b	6(b	NUM
fis-1243	539	2	,	,	PUNCT
fis-1243	539	3	d	d	X
fis-1243	539	4	)	)	PUNCT
fis-1243	539	5	show	show	VERB
fis-1243	539	6	that	that	SCONJ
fis-1243	539	7	high	high	ADJ
fis-1243	539	8	curvature	curvature	NOUN
fis-1243	539	9	points	point	NOUN
fis-1243	539	10	in	in	ADP
fis-1243	539	11	the	the	DET
fis-1243	539	12	yield	yield	NOUN
fis-1243	539	13	surface	surface	NOUN
fis-1243	539	14	correspond	correspond	NOUN
fis-1243	539	15	to	to	ADP
fis-1243	539	16	low	low	ADJ
fis-1243	539	17	curvature	curvature	NOUN
fis-1243	539	18	points	point	NOUN
fis-1243	539	19	in	in	ADP
fis-1243	539	20	the	the	DET
fis-1243	539	21	graph	graph	NOUN
fis-1243	539	22	of	of	ADP
fis-1243	539	23	the	the	DET
fis-1243	539	24	dissipation	dissipation	NOUN
fis-1243	539	25	function	function	NOUN
fis-1243	539	26	,	,	PUNCT
fis-1243	539	27	and	and	CCONJ
fis-1243	539	28	vice	vice	NOUN
fis-1243	539	29	-	-	NOUN
fis-1243	539	30	versa	versa	ADJ
fis-1243	539	31	.	.	PUNCT