id	sid	tid	token	lemma	pos
fis-1267	1	1	microsoft	microsoft	PROPN
fis-1267	1	2	word	word	PROPN
fis-1267	1	3	numero_29_art_31	numero_29_art_31	PROPN
fis-1267	1	4	g.	g.	PROPN
fis-1267	1	5	maurelli	maurelli	PROPN
fis-1267	1	6	et	et	PROPN
fis-1267	1	7	alii	alii	PROPN
fis-1267	1	8	,	,	PUNCT
fis-1267	1	9	frattura	frattura	PROPN
fis-1267	1	10	ed	ed	PROPN
fis-1267	1	11	integrità	integrità	PROPN
fis-1267	1	12	strutturale	strutturale	PROPN
fis-1267	1	13	,	,	PUNCT
fis-1267	1	14	29	29	NUM
fis-1267	1	15	(	(	PUNCT
fis-1267	1	16	2014	2014	NUM
fis-1267	1	17	)	)	PUNCT
fis-1267	1	18	351	351	NUM
fis-1267	1	19	-	-	SYM
fis-1267	1	20	363	363	NUM
fis-1267	1	21	;	;	PUNCT
fis-1267	1	22	doi	doi	NOUN
fis-1267	1	23	:	:	PUNCT
fis-1267	1	24	10.3221	10.3221	NUM
fis-1267	1	25	/	/	SYM
fis-1267	1	26	igf	igf	PROPN
fis-1267	1	27	-	-	PUNCT
fis-1267	1	28	esis.29.31	esis.29.31	PROPN
fis-1267	1	29	351	351	NUM
fis-1267	1	30	focussed	focusse	VERB
fis-1267	1	31	on	on	ADP
fis-1267	1	32	:	:	PUNCT
fis-1267	1	33	computational	computational	ADJ
fis-1267	1	34	mechanics	mechanic	NOUN
fis-1267	1	35	and	and	CCONJ
fis-1267	1	36	mechanics	mechanic	NOUN
fis-1267	1	37	of	of	ADP
fis-1267	1	38	materials	material	NOUN
fis-1267	1	39	in	in	ADP
fis-1267	1	40	italy	italy	PROPN
fis-1267	1	41	mixed	mixed	ADJ
fis-1267	1	42	methods	method	NOUN
fis-1267	1	43	for	for	ADP
fis-1267	1	44	viscoelastodynamics	viscoelastodynamic	NOUN
fis-1267	1	45	and	and	CCONJ
fis-1267	1	46	topology	topology	NOUN
fis-1267	1	47	optimization	optimization	NOUN
fis-1267	1	48	giacomo	giacomo	NOUN
fis-1267	1	49	maurelli	maurelli	PROPN
fis-1267	1	50	,	,	PUNCT
fis-1267	1	51	nadia	nadia	PROPN
fis-1267	1	52	maini	maini	PROPN
fis-1267	1	53	,	,	PUNCT
fis-1267	1	54	paolo	paolo	PROPN
fis-1267	1	55	venini	venini	PROPN
fis-1267	1	56	department	department	PROPN
fis-1267	1	57	of	of	ADP
fis-1267	1	58	civil	civil	ADJ
fis-1267	1	59	engineering	engineering	NOUN
fis-1267	1	60	and	and	CCONJ
fis-1267	1	61	architecture	architecture	NOUN
fis-1267	1	62	,	,	PUNCT
fis-1267	1	63	university	university	NOUN
fis-1267	1	64	of	of	ADP
fis-1267	1	65	pavia	pavia	PROPN
fis-1267	1	66	,	,	PUNCT
fis-1267	1	67	via	via	ADP
fis-1267	1	68	ferrata	ferrata	NOUN
fis-1267	1	69	3	3	NUM
fis-1267	1	70	,	,	PUNCT
fis-1267	1	71	27100	27100	NUM
fis-1267	1	72	pavia	pavia	NOUN
fis-1267	1	73	,	,	PUNCT
fis-1267	1	74	italy	italy	PROPN
fis-1267	1	75	paolo.venini@unipv.it	paolo.venini@unipv.it	NOUN
fis-1267	1	76	abstract	abstract	ADJ
fis-1267	1	77	.	.	PUNCT
fis-1267	2	1	a	a	DET
fis-1267	2	2	truly	truly	ADV
fis-1267	2	3	-	-	PUNCT
fis-1267	2	4	mixed	mix	VERB
fis-1267	2	5	approach	approach	NOUN
fis-1267	2	6	for	for	ADP
fis-1267	2	7	the	the	DET
fis-1267	2	8	analysis	analysis	NOUN
fis-1267	2	9	of	of	ADP
fis-1267	2	10	viscoelastic	viscoelastic	ADJ
fis-1267	2	11	structures	structure	NOUN
fis-1267	2	12	and	and	CCONJ
fis-1267	2	13	continua	continua	PROPN
fis-1267	2	14	is	be	AUX
fis-1267	2	15	presented	present	VERB
fis-1267	2	16	.	.	PUNCT
fis-1267	3	1	an	an	DET
fis-1267	3	2	additive	additive	ADJ
fis-1267	3	3	decomposition	decomposition	NOUN
fis-1267	3	4	of	of	ADP
fis-1267	3	5	the	the	DET
fis-1267	3	6	stress	stress	NOUN
fis-1267	3	7	state	state	NOUN
fis-1267	3	8	into	into	ADP
fis-1267	3	9	a	a	DET
fis-1267	3	10	viscoelastic	viscoelastic	ADJ
fis-1267	3	11	part	part	NOUN
fis-1267	3	12	and	and	CCONJ
fis-1267	3	13	a	a	DET
fis-1267	3	14	purely	purely	ADV
fis-1267	3	15	elastic	elastic	ADJ
fis-1267	3	16	one	one	NOUN
fis-1267	3	17	is	be	AUX
fis-1267	3	18	introduced	introduce	VERB
fis-1267	3	19	along	along	ADP
fis-1267	3	20	with	with	ADP
fis-1267	3	21	an	an	DET
fis-1267	3	22	hellinger	hellinger	NOUN
fis-1267	3	23	-	-	PUNCT
fis-1267	3	24	reissner	reissner	NOUN
fis-1267	3	25	variational	variational	ADJ
fis-1267	3	26	principle	principle	NOUN
fis-1267	3	27	wherein	wherein	SCONJ
fis-1267	3	28	the	the	DET
fis-1267	3	29	stress	stress	NOUN
fis-1267	3	30	represents	represent	VERB
fis-1267	3	31	the	the	DET
fis-1267	3	32	main	main	ADJ
fis-1267	3	33	variable	variable	NOUN
fis-1267	3	34	of	of	ADP
fis-1267	3	35	the	the	DET
fis-1267	3	36	formulation	formulation	NOUN
fis-1267	3	37	whereas	whereas	SCONJ
fis-1267	3	38	the	the	DET
fis-1267	3	39	kinematic	kinematic	ADJ
fis-1267	3	40	descriptor	descriptor	NOUN
fis-1267	3	41	(	(	PUNCT
fis-1267	3	42	that	that	SCONJ
fis-1267	3	43	in	in	ADP
fis-1267	3	44	the	the	DET
fis-1267	3	45	case	case	NOUN
fis-1267	3	46	at	at	ADP
fis-1267	3	47	hand	hand	NOUN
fis-1267	3	48	is	be	AUX
fis-1267	3	49	the	the	DET
fis-1267	3	50	velocity	velocity	NOUN
fis-1267	3	51	field	field	NOUN
fis-1267	3	52	)	)	PUNCT
fis-1267	3	53	acts	act	VERB
fis-1267	3	54	as	as	ADP
fis-1267	3	55	lagrange	lagrange	PROPN
fis-1267	3	56	multiplier	multiplier	ADV
fis-1267	3	57	.	.	PUNCT
fis-1267	4	1	the	the	DET
fis-1267	4	2	resulting	result	VERB
fis-1267	4	3	problem	problem	NOUN
fis-1267	4	4	is	be	AUX
fis-1267	4	5	a	a	DET
fis-1267	4	6	differential	differential	ADJ
fis-1267	4	7	algebraic	algebraic	ADJ
fis-1267	4	8	equation	equation	NOUN
fis-1267	4	9	(	(	PUNCT
fis-1267	4	10	dae	dae	NOUN
fis-1267	4	11	)	)	PUNCT
fis-1267	4	12	because	because	SCONJ
fis-1267	4	13	of	of	ADP
fis-1267	4	14	the	the	DET
fis-1267	4	15	need	need	NOUN
fis-1267	4	16	to	to	PART
fis-1267	4	17	introduce	introduce	VERB
fis-1267	4	18	static	static	ADJ
fis-1267	4	19	lagrange	lagrange	NOUN
fis-1267	4	20	multipliers	multiplier	NOUN
fis-1267	4	21	to	to	PART
fis-1267	4	22	comply	comply	VERB
fis-1267	4	23	with	with	ADP
fis-1267	4	24	the	the	DET
fis-1267	4	25	cauchy	cauchy	ADJ
fis-1267	4	26	boundary	boundary	ADJ
fis-1267	4	27	condition	condition	NOUN
fis-1267	4	28	on	on	ADP
fis-1267	4	29	the	the	DET
fis-1267	4	30	stress	stress	NOUN
fis-1267	4	31	.	.	PUNCT
fis-1267	5	1	the	the	DET
fis-1267	5	2	associated	associated	PROPN
fis-1267	5	3	eigenvalue	eigenvalue	PROPN
fis-1267	5	4	problem	problem	NOUN
fis-1267	5	5	is	be	AUX
fis-1267	5	6	known	know	VERB
fis-1267	5	7	in	in	ADP
fis-1267	5	8	the	the	DET
fis-1267	5	9	literature	literature	NOUN
fis-1267	5	10	as	as	ADP
fis-1267	5	11	constrained	constrain	VERB
fis-1267	5	12	eigenvalue	eigenvalue	NOUN
fis-1267	5	13	problem	problem	NOUN
fis-1267	5	14	and	and	CCONJ
fis-1267	5	15	poses	pose	VERB
fis-1267	5	16	several	several	ADJ
fis-1267	5	17	difficulties	difficulty	NOUN
fis-1267	5	18	for	for	ADP
fis-1267	5	19	its	its	PRON
fis-1267	5	20	solution	solution	NOUN
fis-1267	5	21	that	that	PRON
fis-1267	5	22	are	be	AUX
fis-1267	5	23	addressed	address	VERB
fis-1267	5	24	in	in	ADP
fis-1267	5	25	the	the	DET
fis-1267	5	26	paper	paper	NOUN
fis-1267	5	27	.	.	PUNCT
fis-1267	6	1	the	the	DET
fis-1267	6	2	second	second	ADJ
fis-1267	6	3	part	part	NOUN
fis-1267	6	4	of	of	ADP
fis-1267	6	5	the	the	DET
fis-1267	6	6	paper	paper	NOUN
fis-1267	6	7	proposes	propose	VERB
fis-1267	6	8	a	a	DET
fis-1267	6	9	topology	topology	NOUN
fis-1267	6	10	optimization	optimization	NOUN
fis-1267	6	11	approach	approach	NOUN
fis-1267	6	12	for	for	ADP
fis-1267	6	13	the	the	DET
fis-1267	6	14	rationale	rationale	NOUN
fis-1267	6	15	design	design	NOUN
fis-1267	6	16	of	of	ADP
fis-1267	6	17	viscoelastic	viscoelastic	ADJ
fis-1267	6	18	structures	structure	NOUN
fis-1267	6	19	and	and	CCONJ
fis-1267	6	20	continua	continuum	NOUN
fis-1267	6	21	.	.	PUNCT
fis-1267	7	1	details	detail	NOUN
fis-1267	7	2	concerning	concern	VERB
fis-1267	7	3	density	density	NOUN
fis-1267	7	4	interpolation	interpolation	NOUN
fis-1267	7	5	,	,	PUNCT
fis-1267	7	6	compliance	compliance	NOUN
fis-1267	7	7	problems	problem	NOUN
fis-1267	7	8	and	and	CCONJ
fis-1267	7	9	eigenvalue	eigenvalue	NOUN
fis-1267	7	10	-	-	PUNCT
fis-1267	7	11	based	base	VERB
fis-1267	7	12	objectives	objective	NOUN
fis-1267	7	13	are	be	AUX
fis-1267	7	14	given	give	VERB
fis-1267	7	15	.	.	PUNCT
fis-1267	8	1	worked	work	VERB
fis-1267	8	2	numerical	numerical	ADJ
fis-1267	8	3	examples	example	NOUN
fis-1267	8	4	are	be	AUX
fis-1267	8	5	presented	present	VERB
fis-1267	8	6	concerning	concern	VERB
fis-1267	8	7	both	both	CCONJ
fis-1267	8	8	the	the	DET
fis-1267	8	9	dynamic	dynamic	ADJ
fis-1267	8	10	analysis	analysis	NOUN
fis-1267	8	11	of	of	ADP
fis-1267	8	12	viscoelastic	viscoelastic	ADJ
fis-1267	8	13	structures	structure	NOUN
fis-1267	8	14	and	and	CCONJ
fis-1267	8	15	their	their	PRON
fis-1267	8	16	topology	topology	NOUN
fis-1267	8	17	optimization	optimization	NOUN
fis-1267	8	18	.	.	PUNCT
fis-1267	9	1	keywords	keyword	NOUN
fis-1267	9	2	.	.	PUNCT
fis-1267	10	1	viscoelasticity	viscoelasticity	NOUN
fis-1267	10	2	;	;	PUNCT
fis-1267	10	3	mixed	mixed	ADJ
fis-1267	10	4	finite	finite	ADJ
fis-1267	10	5	elements	element	NOUN
fis-1267	10	6	;	;	PUNCT
fis-1267	10	7	topology	topology	NOUN
fis-1267	10	8	optimization	optimization	NOUN
fis-1267	10	9	.	.	PUNCT
fis-1267	11	1	introduction	introduction	NOUN
fis-1267	11	2	iscoelasticity	iscoelasticity	NOUN
fis-1267	11	3	is	be	AUX
fis-1267	11	4	a	a	DET
fis-1267	11	5	constitutive	constitutive	ADJ
fis-1267	11	6	feature	feature	NOUN
fis-1267	11	7	of	of	ADP
fis-1267	11	8	materials	material	NOUN
fis-1267	11	9	that	that	PRON
fis-1267	11	10	finds	find	VERB
fis-1267	11	11	applications	application	NOUN
fis-1267	11	12	in	in	ADP
fis-1267	11	13	several	several	ADJ
fis-1267	11	14	areas	area	NOUN
fis-1267	11	15	such	such	ADJ
fis-1267	11	16	as	as	ADP
fis-1267	11	17	structural	structural	ADJ
fis-1267	11	18	engineering	engineering	NOUN
fis-1267	11	19	(	(	PUNCT
fis-1267	11	20	concrete	concrete	NOUN
fis-1267	11	21	)	)	PUNCT
fis-1267	11	22	,	,	PUNCT
fis-1267	11	23	biomedics	biomedic	NOUN
fis-1267	11	24	(	(	PUNCT
fis-1267	11	25	soft	soft	ADJ
fis-1267	11	26	tissues	tissue	NOUN
fis-1267	11	27	)	)	PUNCT
fis-1267	11	28	and	and	CCONJ
fis-1267	11	29	also	also	ADV
fis-1267	11	30	synthetic	synthetic	ADJ
fis-1267	11	31	materials	material	NOUN
fis-1267	11	32	and	and	CCONJ
fis-1267	11	33	polymers	polymer	NOUN
fis-1267	11	34	fabrication	fabrication	NOUN
fis-1267	11	35	[	[	X
fis-1267	11	36	1	1	NUM
fis-1267	11	37	]	]	PUNCT
fis-1267	11	38	.	.	PUNCT
fis-1267	12	1	from	from	ADP
fis-1267	12	2	a	a	DET
fis-1267	12	3	modeling	modeling	NOUN
fis-1267	12	4	viewpoint	viewpoint	NOUN
fis-1267	12	5	,	,	PUNCT
fis-1267	12	6	the	the	DET
fis-1267	12	7	most	most	ADV
fis-1267	12	8	classic	classic	ADJ
fis-1267	12	9	approach	approach	NOUN
fis-1267	12	10	to	to	ADP
fis-1267	12	11	viscoelasticity	viscoelasticity	NOUN
fis-1267	12	12	is	be	AUX
fis-1267	12	13	based	base	VERB
fis-1267	12	14	on	on	ADP
fis-1267	12	15	hereditary	hereditary	ADJ
fis-1267	12	16	integral	integral	ADJ
fis-1267	12	17	formulations	formulation	NOUN
fis-1267	12	18	that	that	PRON
fis-1267	12	19	rely	rely	VERB
fis-1267	12	20	on	on	ADP
fis-1267	12	21	the	the	DET
fis-1267	12	22	interpretation	interpretation	NOUN
fis-1267	12	23	of	of	ADP
fis-1267	12	24	viscoelastic	viscoelastic	ADJ
fis-1267	12	25	materials	material	NOUN
fis-1267	12	26	as	as	ADP
fis-1267	12	27	materials	material	NOUN
fis-1267	12	28	with	with	ADP
fis-1267	12	29	memory	memory	NOUN
fis-1267	12	30	:	:	PUNCT
fis-1267	12	31	the	the	DET
fis-1267	12	32	current	current	ADJ
fis-1267	12	33	stress	stress	NOUN
fis-1267	12	34	is	be	AUX
fis-1267	12	35	based	base	VERB
fis-1267	12	36	on	on	ADP
fis-1267	12	37	a	a	DET
fis-1267	12	38	time	time	NOUN
fis-1267	12	39	integral	integral	ADJ
fis-1267	12	40	of	of	ADP
fis-1267	12	41	the	the	DET
fis-1267	12	42	strain	strain	NOUN
fis-1267	12	43	history	history	NOUN
fis-1267	12	44	.	.	PUNCT
fis-1267	13	1	given	give	VERB
fis-1267	13	2	such	such	DET
fis-1267	13	3	a	a	DET
fis-1267	13	4	complex	complex	ADJ
fis-1267	13	5	constitutive	constitutive	ADJ
fis-1267	13	6	response	response	NOUN
fis-1267	13	7	,	,	PUNCT
fis-1267	13	8	the	the	DET
fis-1267	13	9	design	design	NOUN
fis-1267	13	10	of	of	ADP
fis-1267	13	11	viscoelastic	viscoelastic	ADJ
fis-1267	13	12	structures	structure	NOUN
fis-1267	13	13	is	be	AUX
fis-1267	13	14	quite	quite	DET
fis-1267	13	15	a	a	DET
fis-1267	13	16	challenging	challenging	ADJ
fis-1267	13	17	task	task	NOUN
fis-1267	13	18	that	that	PRON
fis-1267	13	19	calls	call	VERB
fis-1267	13	20	for	for	ADP
fis-1267	13	21	a	a	DET
fis-1267	13	22	robust	robust	ADJ
fis-1267	13	23	numerical	numerical	ADJ
fis-1267	13	24	model	model	NOUN
fis-1267	13	25	and	and	CCONJ
fis-1267	13	26	a	a	DET
fis-1267	13	27	rationale	rationale	NOUN
fis-1267	13	28	design	design	NOUN
fis-1267	13	29	approach	approach	NOUN
fis-1267	13	30	.	.	PUNCT
fis-1267	14	1	within	within	ADP
fis-1267	14	2	this	this	DET
fis-1267	14	3	scenario	scenario	NOUN
fis-1267	14	4	,	,	PUNCT
fis-1267	14	5	object	object	NOUN
fis-1267	14	6	of	of	ADP
fis-1267	14	7	this	this	DET
fis-1267	14	8	paper	paper	NOUN
fis-1267	14	9	is	be	AUX
fis-1267	14	10	the	the	DET
fis-1267	14	11	proposal	proposal	NOUN
fis-1267	14	12	of	of	ADP
fis-1267	14	13	a	a	DET
fis-1267	14	14	truly	truly	ADV
fis-1267	14	15	-	-	PUNCT
fis-1267	14	16	mixed	mix	VERB
fis-1267	14	17	finite	finite	ADJ
fis-1267	14	18	element	element	NOUN
fis-1267	14	19	method	method	NOUN
fis-1267	14	20	for	for	ADP
fis-1267	14	21	the	the	DET
fis-1267	14	22	analysis	analysis	NOUN
fis-1267	14	23	of	of	ADP
fis-1267	14	24	viscoelastic	viscoelastic	ADJ
fis-1267	14	25	structures	structure	NOUN
fis-1267	14	26	coupled	couple	VERB
fis-1267	14	27	to	to	ADP
fis-1267	14	28	a	a	DET
fis-1267	14	29	topology	topology	NOUN
fis-1267	14	30	optimization	optimization	NOUN
fis-1267	14	31	approach	approach	NOUN
fis-1267	14	32	with	with	ADP
fis-1267	14	33	the	the	DET
fis-1267	14	34	ultimate	ultimate	ADJ
fis-1267	14	35	goal	goal	NOUN
fis-1267	14	36	of	of	ADP
fis-1267	14	37	the	the	DET
fis-1267	14	38	development	development	NOUN
fis-1267	14	39	of	of	ADP
fis-1267	14	40	an	an	DET
fis-1267	14	41	integrated	integrate	VERB
fis-1267	14	42	analysis	analysis	NOUN
fis-1267	14	43	-	-	PUNCT
fis-1267	14	44	design	design	NOUN
fis-1267	14	45	tool	tool	NOUN
fis-1267	14	46	for	for	ADP
fis-1267	14	47	viscoelastic	viscoelastic	NOUN
fis-1267	14	48	systems	system	NOUN
fis-1267	14	49	.	.	PUNCT
fis-1267	15	1	for	for	ADP
fis-1267	15	2	this	this	DET
fis-1267	15	3	paper	paper	NOUN
fis-1267	15	4	's	's	PART
fis-1267	15	5	sake	sake	NOUN
fis-1267	15	6	,	,	PUNCT
fis-1267	15	7	eigenvalue	eigenvalue	NOUN
fis-1267	15	8	-	-	PUNCT
fis-1267	15	9	based	base	VERB
fis-1267	15	10	objectives	objective	NOUN
fis-1267	15	11	shall	shall	AUX
fis-1267	15	12	be	be	AUX
fis-1267	15	13	pursued	pursue	VERB
fis-1267	15	14	within	within	ADP
fis-1267	15	15	a	a	DET
fis-1267	15	16	few	few	ADJ
fis-1267	15	17	numerical	numerical	ADJ
fis-1267	15	18	applications	application	NOUN
fis-1267	15	19	that	that	PRON
fis-1267	15	20	are	be	AUX
fis-1267	15	21	based	base	VERB
fis-1267	15	22	on	on	ADP
fis-1267	15	23	the	the	DET
fis-1267	15	24	purely	purely	ADV
fis-1267	15	25	elastic	elastic	ADJ
fis-1267	15	26	cases	case	NOUN
fis-1267	15	27	discussed	discuss	VERB
fis-1267	15	28	in	in	ADP
fis-1267	15	29	[	[	X
fis-1267	15	30	2	2	NUM
fis-1267	15	31	]	]	PUNCT
fis-1267	15	32	.	.	PUNCT
fis-1267	16	1	as	as	ADP
fis-1267	16	2	to	to	ADP
fis-1267	16	3	the	the	DET
fis-1267	16	4	mixed	mixed	ADJ
fis-1267	16	5	finite	finite	ADJ
fis-1267	16	6	-	-	ADJ
fis-1267	16	7	element	element	ADJ
fis-1267	16	8	formulation	formulation	NOUN
fis-1267	16	9	,	,	PUNCT
fis-1267	16	10	the	the	DET
fis-1267	16	11	truly	truly	ADV
fis-1267	16	12	-	-	PUNCT
fis-1267	16	13	mixed	mixed	ADJ
fis-1267	16	14	setting	setting	NOUN
fis-1267	16	15	in	in	ADP
fis-1267	16	16	a	a	DET
fis-1267	16	17	general	general	ADJ
fis-1267	16	18	hellinger	hellinger	NOUN
fis-1267	16	19	-	-	PUNCT
fis-1267	16	20	reissner	reissner	NOUN
fis-1267	16	21	framework	framework	NOUN
fis-1267	16	22	has	have	AUX
fis-1267	16	23	been	be	AUX
fis-1267	16	24	selected	select	VERB
fis-1267	16	25	mainly	mainly	ADV
fis-1267	16	26	because	because	SCONJ
fis-1267	16	27	of	of	ADP
fis-1267	16	28	the	the	DET
fis-1267	16	29	need	need	NOUN
fis-1267	16	30	to	to	PART
fis-1267	16	31	pursue	pursue	VERB
fis-1267	16	32	an	an	DET
fis-1267	16	33	accurate	accurate	ADJ
fis-1267	16	34	approximation	approximation	NOUN
fis-1267	16	35	of	of	ADP
fis-1267	16	36	the	the	DET
fis-1267	16	37	stress	stress	NOUN
fis-1267	16	38	field	field	NOUN
fis-1267	16	39	,	,	PUNCT
fis-1267	16	40	feature	feature	NOUN
fis-1267	16	41	that	that	PRON
fis-1267	16	42	is	be	AUX
fis-1267	16	43	not	not	PART
fis-1267	16	44	shared	share	VERB
fis-1267	16	45	by	by	ADP
fis-1267	16	46	any	any	DET
fis-1267	16	47	standard	standard	ADJ
fis-1267	16	48	displacement	displacement	NOUN
fis-1267	16	49	-	-	PUNCT
fis-1267	16	50	based	base	VERB
fis-1267	16	51	approach	approach	NOUN
fis-1267	16	52	.	.	PUNCT
fis-1267	17	1	furthermore	furthermore	ADV
fis-1267	17	2	,	,	PUNCT
fis-1267	17	3	such	such	DET
fis-1267	17	4	a	a	DET
fis-1267	17	5	formulation	formulation	NOUN
fis-1267	17	6	is	be	AUX
fis-1267	17	7	well	well	ADV
fis-1267	17	8	known	known	ADJ
fis-1267	17	9	to	to	PART
fis-1267	17	10	pass	pass	VERB
fis-1267	17	11	the	the	DET
fis-1267	17	12	inf	inf	ADJ
fis-1267	17	13	-	-	PUNCT
fis-1267	17	14	sup	sup	NOUN
fis-1267	17	15	condition	condition	NOUN
fis-1267	17	16	[	[	X
fis-1267	17	17	3	3	X
fis-1267	17	18	]	]	PUNCT
fis-1267	17	19	even	even	ADV
fis-1267	17	20	in	in	ADP
fis-1267	17	21	the	the	DET
fis-1267	17	22	limiting	limit	VERB
fis-1267	17	23	case	case	NOUN
fis-1267	17	24	of	of	ADP
fis-1267	17	25	incompressible	incompressible	ADJ
fis-1267	17	26	materials	material	NOUN
fis-1267	17	27	with	with	ADP
fis-1267	17	28	no	no	DET
fis-1267	17	29	further	further	ADJ
fis-1267	17	30	tricks	trick	NOUN
fis-1267	17	31	or	or	CCONJ
fis-1267	17	32	enrichments	enrichment	NOUN
fis-1267	17	33	and	and	CCONJ
fis-1267	17	34	this	this	PRON
fis-1267	17	35	could	could	AUX
fis-1267	17	36	represent	represent	VERB
fis-1267	17	37	a	a	DET
fis-1267	17	38	v	v	NOUN
fis-1267	17	39	g.	g.	NOUN
fis-1267	17	40	maurelli	maurelli	NOUN
fis-1267	17	41	et	et	PROPN
fis-1267	17	42	alii	alii	PROPN
fis-1267	17	43	,	,	PUNCT
fis-1267	17	44	frattura	frattura	PROPN
fis-1267	17	45	ed	ed	PROPN
fis-1267	17	46	integrità	integrità	PROPN
fis-1267	17	47	strutturale	strutturale	PROPN
fis-1267	17	48	,	,	PUNCT
fis-1267	17	49	29	29	NUM
fis-1267	17	50	(	(	PUNCT
fis-1267	17	51	2014	2014	NUM
fis-1267	17	52	)	)	PUNCT
fis-1267	17	53	351	351	NUM
fis-1267	17	54	-	-	SYM
fis-1267	17	55	363	363	NUM
fis-1267	17	56	;	;	PUNCT
fis-1267	17	57	doi	doi	NOUN
fis-1267	17	58	:	:	PUNCT
fis-1267	17	59	10.3221	10.3221	NUM
fis-1267	17	60	/	/	SYM
fis-1267	17	61	igf	igf	PROPN
fis-1267	17	62	-	-	PUNCT
fis-1267	17	63	esis.29.31	esis.29.31	PROPN
fis-1267	17	64	352	352	NUM
fis-1267	17	65	key	key	ADJ
fis-1267	17	66	issue	issue	NOUN
fis-1267	17	67	when	when	SCONJ
fis-1267	17	68	modeling	modeling	NOUN
fis-1267	17	69	and	and	CCONJ
fis-1267	17	70	designing	design	VERB
fis-1267	17	71	rubber	rubber	NOUN
fis-1267	17	72	devices	device	NOUN
fis-1267	17	73	such	such	ADJ
fis-1267	17	74	as	as	ADP
fis-1267	17	75	base	base	NOUN
fis-1267	17	76	isolators	isolator	NOUN
fis-1267	17	77	.	.	PUNCT
fis-1267	18	1	the	the	DET
fis-1267	18	2	adopted	adopt	VERB
fis-1267	18	3	formulation	formulation	NOUN
fis-1267	18	4	resembles	resemble	VERB
fis-1267	18	5	the	the	DET
fis-1267	18	6	one	one	NOUN
fis-1267	18	7	presented	present	VERB
fis-1267	18	8	in	in	ADP
fis-1267	18	9	[	[	X
fis-1267	18	10	4	4	NUM
fis-1267	18	11	]	]	PUNCT
fis-1267	18	12	in	in	ADP
fis-1267	18	13	that	that	SCONJ
fis-1267	18	14	an	an	DET
fis-1267	18	15	additive	additive	ADJ
fis-1267	18	16	decomposition	decomposition	NOUN
fis-1267	18	17	of	of	ADP
fis-1267	18	18	the	the	DET
fis-1267	18	19	stress	stress	NOUN
fis-1267	18	20	field	field	NOUN
fis-1267	18	21	is	be	AUX
fis-1267	18	22	considered	consider	VERB
fis-1267	18	23	that	that	PRON
fis-1267	18	24	finds	find	VERB
fis-1267	18	25	its	its	PRON
fis-1267	18	26	motivation	motivation	NOUN
fis-1267	18	27	if	if	SCONJ
fis-1267	18	28	the	the	DET
fis-1267	18	29	adoption	adoption	NOUN
fis-1267	18	30	of	of	ADP
fis-1267	18	31	a	a	DET
fis-1267	18	32	maxwell	maxwell	NOUN
fis-1267	18	33	-	-	PUNCT
fis-1267	18	34	type	type	NOUN
fis-1267	18	35	phenomenological	phenomenological	ADJ
fis-1267	18	36	model	model	NOUN
fis-1267	18	37	.	.	PUNCT
fis-1267	19	1	however	however	ADV
fis-1267	19	2	,	,	PUNCT
fis-1267	19	3	a	a	DET
fis-1267	19	4	weak	weak	ADJ
fis-1267	19	5	enforcement	enforcement	NOUN
fis-1267	19	6	of	of	ADP
fis-1267	19	7	the	the	DET
fis-1267	19	8	stress	stress	NOUN
fis-1267	19	9	tensor	tensor	NOUN
fis-1267	19	10	symmetry	symmetry	NOUN
fis-1267	19	11	is	be	AUX
fis-1267	19	12	considered	consider	VERB
fis-1267	19	13	in	in	ADP
fis-1267	19	14	[	[	X
fis-1267	19	15	4	4	NUM
fis-1267	19	16	]	]	PUNCT
fis-1267	19	17	as	as	SCONJ
fis-1267	19	18	opposed	oppose	VERB
fis-1267	19	19	to	to	ADP
fis-1267	19	20	a	a	DET
fis-1267	19	21	strong	strong	ADJ
fis-1267	19	22	approach	approach	NOUN
fis-1267	19	23	adopted	adopt	VERB
fis-1267	19	24	herein	herein	NOUN
fis-1267	19	25	.	.	PUNCT
fis-1267	20	1	the	the	DET
fis-1267	20	2	arnold	arnold	PROPN
fis-1267	20	3	-	-	PUNCT
fis-1267	20	4	winther	winther	PROPN
fis-1267	20	5	finite	finite	PROPN
fis-1267	20	6	element	element	NOUN
fis-1267	20	7	is	be	AUX
fis-1267	20	8	used	use	VERB
fis-1267	20	9	as	as	ADP
fis-1267	20	10	to	to	ADP
fis-1267	20	11	the	the	DET
fis-1267	20	12	discretization	discretization	NOUN
fis-1267	20	13	of	of	ADP
fis-1267	20	14	the	the	DET
fis-1267	20	15	stress	stress	NOUN
fis-1267	20	16	field	field	NOUN
fis-1267	21	1	[	[	X
fis-1267	21	2	5	5	NUM
fis-1267	21	3	]	]	PUNCT
fis-1267	21	4	.	.	PUNCT
fis-1267	22	1	to	to	ADP
fis-1267	22	2	the	the	DET
fis-1267	22	3	author	author	NOUN
fis-1267	22	4	's	's	PART
fis-1267	22	5	knowledge	knowledge	NOUN
fis-1267	22	6	,	,	PUNCT
fis-1267	22	7	it	it	PRON
fis-1267	22	8	has	have	AUX
fis-1267	22	9	never	never	ADV
fis-1267	22	10	been	be	AUX
fis-1267	22	11	used	use	VERB
fis-1267	22	12	for	for	ADP
fis-1267	22	13	the	the	DET
fis-1267	22	14	analysis	analysis	NOUN
fis-1267	22	15	of	of	ADP
fis-1267	22	16	viscoelastic	viscoelastic	ADJ
fis-1267	22	17	structures	structure	NOUN
fis-1267	22	18	whereas	whereas	SCONJ
fis-1267	22	19	a	a	DET
fis-1267	22	20	few	few	ADJ
fis-1267	22	21	applications	application	NOUN
fis-1267	22	22	in	in	ADP
fis-1267	22	23	a	a	DET
fis-1267	22	24	purely	purely	ADV
fis-1267	22	25	elastic	elastic	ADJ
fis-1267	22	26	framework	framework	NOUN
fis-1267	22	27	are	be	AUX
fis-1267	22	28	available	available	ADJ
fis-1267	22	29	in	in	ADP
fis-1267	22	30	the	the	DET
fis-1267	22	31	literature	literature	NOUN
fis-1267	23	1	[	[	X
fis-1267	23	2	6	6	NUM
fis-1267	23	3	]	]	PUNCT
fis-1267	23	4	.	.	PUNCT
fis-1267	24	1	optimal	optimal	ADJ
fis-1267	24	2	design	design	NOUN
fis-1267	24	3	with	with	ADP
fis-1267	24	4	respect	respect	NOUN
fis-1267	24	5	to	to	ADP
fis-1267	24	6	eigenvalues	eigenvalue	NOUN
fis-1267	24	7	is	be	AUX
fis-1267	24	8	a	a	DET
fis-1267	24	9	topic	topic	NOUN
fis-1267	24	10	that	that	PRON
fis-1267	24	11	has	have	AUX
fis-1267	24	12	received	receive	VERB
fis-1267	24	13	much	much	ADJ
fis-1267	24	14	attention	attention	NOUN
fis-1267	24	15	in	in	ADP
fis-1267	24	16	the	the	DET
fis-1267	24	17	last	last	ADJ
fis-1267	24	18	decades	decade	NOUN
fis-1267	24	19	and	and	CCONJ
fis-1267	24	20	[	[	X
fis-1267	24	21	7	7	NUM
fis-1267	24	22	,	,	PUNCT
fis-1267	24	23	8	8	NUM
fis-1267	24	24	]	]	PUNCT
fis-1267	24	25	and	and	CCONJ
fis-1267	24	26	[	[	X
fis-1267	24	27	9	9	NUM
fis-1267	24	28	]	]	PUNCT
fis-1267	24	29	may	may	AUX
fis-1267	24	30	be	be	AUX
fis-1267	24	31	cited	cite	VERB
fis-1267	24	32	among	among	ADP
fis-1267	24	33	the	the	DET
fis-1267	24	34	most	most	ADV
fis-1267	24	35	interesting	interesting	ADJ
fis-1267	24	36	contributions	contribution	NOUN
fis-1267	24	37	in	in	ADP
fis-1267	24	38	this	this	DET
fis-1267	24	39	respect	respect	NOUN
fis-1267	24	40	.	.	PUNCT
fis-1267	25	1	however	however	ADV
fis-1267	25	2	,	,	PUNCT
fis-1267	25	3	optimal	optimal	ADJ
fis-1267	25	4	design	design	NOUN
fis-1267	25	5	of	of	ADP
fis-1267	25	6	nonclassically	nonclassically	ADV
fis-1267	25	7	damped	damped	ADJ
fis-1267	25	8	viscoelastic	viscoelastic	ADJ
fis-1267	25	9	structures	structure	NOUN
fis-1267	25	10	is	be	AUX
fis-1267	25	11	far	far	ADV
fis-1267	25	12	from	from	ADP
fis-1267	25	13	being	be	AUX
fis-1267	25	14	a	a	DET
fis-1267	25	15	mature	mature	ADJ
fis-1267	25	16	topic	topic	NOUN
fis-1267	25	17	and	and	CCONJ
fis-1267	25	18	further	further	ADJ
fis-1267	25	19	research	research	NOUN
fis-1267	25	20	seems	seem	VERB
fis-1267	25	21	to	to	PART
fis-1267	25	22	be	be	AUX
fis-1267	25	23	in	in	ADP
fis-1267	25	24	order	order	NOUN
fis-1267	25	25	.	.	PUNCT
fis-1267	26	1	to	to	PART
fis-1267	26	2	gain	gain	VERB
fis-1267	26	3	insight	insight	NOUN
fis-1267	26	4	into	into	ADP
fis-1267	26	5	such	such	DET
fis-1267	26	6	a	a	DET
fis-1267	26	7	complex	complex	ADJ
fis-1267	26	8	problem	problem	NOUN
fis-1267	26	9	,	,	PUNCT
fis-1267	26	10	a	a	DET
fis-1267	26	11	viscoelastic	viscoelastic	ADJ
fis-1267	26	12	thin	thin	ADJ
fis-1267	26	13	-	-	PUNCT
fis-1267	26	14	beam	beam	NOUN
fis-1267	26	15	truly	truly	ADV
fis-1267	26	16	-	-	PUNCT
fis-1267	26	17	mixed	mix	VERB
fis-1267	26	18	formulation	formulation	NOUN
fis-1267	26	19	is	be	AUX
fis-1267	26	20	introduced	introduce	VERB
fis-1267	26	21	that	that	PRON
fis-1267	26	22	has	have	VERB
fis-1267	26	23	the	the	DET
fis-1267	26	24	merit	merit	NOUN
fis-1267	26	25	to	to	PART
fis-1267	26	26	allow	allow	VERB
fis-1267	26	27	a	a	DET
fis-1267	26	28	deep	deep	ADJ
fis-1267	26	29	understanding	understanding	NOUN
fis-1267	26	30	of	of	ADP
fis-1267	26	31	the	the	DET
fis-1267	26	32	spectral	spectral	ADJ
fis-1267	26	33	properties	property	NOUN
fis-1267	26	34	of	of	ADP
fis-1267	26	35	the	the	DET
fis-1267	26	36	discretized	discretized	ADJ
fis-1267	26	37	structure	structure	NOUN
fis-1267	26	38	so	so	SCONJ
fis-1267	26	39	as	as	SCONJ
fis-1267	26	40	to	to	PART
fis-1267	26	41	end	end	VERB
fis-1267	26	42	up	up	ADP
fis-1267	26	43	with	with	ADP
fis-1267	26	44	convincing	convincing	ADJ
fis-1267	26	45	optimal	optimal	ADJ
fis-1267	26	46	topologies	topology	NOUN
fis-1267	26	47	.	.	PUNCT
fis-1267	27	1	the	the	DET
fis-1267	27	2	first	first	ADJ
fis-1267	27	3	three	three	NUM
fis-1267	27	4	eigenvalues	eigenvalue	NOUN
fis-1267	27	5	shall	shall	AUX
fis-1267	27	6	be	be	AUX
fis-1267	27	7	object	object	NOUN
fis-1267	27	8	of	of	ADP
fis-1267	27	9	optimization	optimization	NOUN
fis-1267	27	10	and	and	CCONJ
fis-1267	27	11	a	a	DET
fis-1267	27	12	strict	strict	ADJ
fis-1267	27	13	relation	relation	NOUN
fis-1267	27	14	between	between	ADP
fis-1267	27	15	the	the	DET
fis-1267	27	16	optimal	optimal	ADJ
fis-1267	27	17	density	density	NOUN
fis-1267	27	18	distribution	distribution	NOUN
fis-1267	27	19	and	and	CCONJ
fis-1267	27	20	the	the	DET
fis-1267	27	21	relevant	relevant	ADJ
fis-1267	27	22	eigenmode	eigenmode	ADJ
fis-1267	27	23	shapes	shape	NOUN
fis-1267	27	24	clearly	clearly	ADV
fis-1267	27	25	determined	determine	VERB
fis-1267	27	26	.	.	PUNCT
fis-1267	28	1	though	though	SCONJ
fis-1267	28	2	preliminary	preliminary	ADJ
fis-1267	28	3	,	,	PUNCT
fis-1267	28	4	not	not	PART
fis-1267	28	5	many	many	ADJ
fis-1267	28	6	such	such	ADJ
fis-1267	28	7	results	result	NOUN
fis-1267	28	8	are	be	AUX
fis-1267	28	9	available	available	ADJ
fis-1267	28	10	in	in	ADP
fis-1267	28	11	the	the	DET
fis-1267	28	12	literature	literature	NOUN
fis-1267	28	13	and	and	CCONJ
fis-1267	28	14	should	should	AUX
fis-1267	28	15	open	open	VERB
fis-1267	28	16	the	the	DET
fis-1267	28	17	way	way	NOUN
fis-1267	28	18	to	to	ADP
fis-1267	28	19	more	more	ADV
fis-1267	28	20	complex	complex	ADJ
fis-1267	28	21	results	result	NOUN
fis-1267	28	22	concerning	concern	VERB
fis-1267	28	23	two	two	NUM
fis-1267	28	24	-	-	PUNCT
fis-1267	28	25	dimensional	dimensional	ADJ
fis-1267	28	26	systems	system	NOUN
fis-1267	28	27	.	.	PUNCT
fis-1267	29	1	formulation	formulation	NOUN
fis-1267	29	2	and	and	CCONJ
fis-1267	29	3	discretization	discretization	NOUN
fis-1267	29	4	(	(	PUNCT
fis-1267	29	5	continuum	continuum	ADJ
fis-1267	29	6	case	case	NOUN
fis-1267	29	7	)	)	PUNCT
fis-1267	29	8	oal	oal	NOUN
fis-1267	29	9	of	of	ADP
fis-1267	29	10	this	this	DET
fis-1267	29	11	section	section	NOUN
fis-1267	29	12	is	be	AUX
fis-1267	29	13	the	the	DET
fis-1267	29	14	definition	definition	NOUN
fis-1267	29	15	of	of	ADP
fis-1267	29	16	a	a	DET
fis-1267	29	17	truly	truly	ADV
fis-1267	29	18	-	-	PUNCT
fis-1267	29	19	mixed	mixed	ADJ
fis-1267	29	20	variational	variational	ADJ
fis-1267	29	21	formulation	formulation	NOUN
fis-1267	29	22	for	for	ADP
fis-1267	29	23	two	two	NUM
fis-1267	29	24	-	-	PUNCT
fis-1267	29	25	dimensional	dimensional	ADJ
fis-1267	29	26	viscoelastic	viscoelastic	NOUN
fis-1267	29	27	continua	continuum	NOUN
fis-1267	29	28	.	.	PUNCT
fis-1267	30	1	based	base	VERB
fis-1267	30	2	on	on	ADP
fis-1267	30	3	a	a	DET
fis-1267	30	4	parallel	parallel	ADJ
fis-1267	30	5	phenomenological	phenomenological	ADJ
fis-1267	30	6	model	model	NOUN
fis-1267	30	7	,	,	PUNCT
fis-1267	30	8	compatibility	compatibility	NOUN
fis-1267	30	9	,	,	PUNCT
fis-1267	30	10	equilibrium	equilibrium	NOUN
fis-1267	30	11	and	and	CCONJ
fis-1267	30	12	viscoelastic	viscoelastic	NOUN
fis-1267	30	13	laws	law	NOUN
fis-1267	30	14	are	be	AUX
fis-1267	30	15	written	write	VERB
fis-1267	30	16	in	in	ADP
fis-1267	30	17	strong	strong	ADJ
fis-1267	30	18	form	form	NOUN
fis-1267	30	19	so	so	SCONJ
fis-1267	30	20	as	as	SCONJ
fis-1267	30	21	to	to	PART
fis-1267	30	22	allow	allow	VERB
fis-1267	30	23	the	the	DET
fis-1267	30	24	definition	definition	NOUN
fis-1267	30	25	of	of	ADP
fis-1267	30	26	a	a	DET
fis-1267	30	27	truly	truly	ADV
fis-1267	30	28	mixed	mixed	ADJ
fis-1267	30	29	variational	variational	ADJ
fis-1267	30	30	formulation	formulation	NOUN
fis-1267	30	31	of	of	ADP
fis-1267	30	32	hellinger	hellinger	NOUN
fis-1267	30	33	-	-	PUNCT
fis-1267	30	34	reissner	reissner	NOUN
fis-1267	30	35	type	type	NOUN
fis-1267	30	36	.	.	PUNCT
fis-1267	31	1	eventually	eventually	ADV
fis-1267	31	2	,	,	PUNCT
fis-1267	31	3	the	the	DET
fis-1267	31	4	arnold	arnold	PROPN
fis-1267	31	5	-	-	PUNCT
fis-1267	31	6	winther	winther	PROPN
fis-1267	31	7	finite	finite	NOUN
fis-1267	31	8	-	-	NOUN
fis-1267	31	9	element	element	NOUN
fis-1267	31	10	is	be	AUX
fis-1267	31	11	introduced	introduce	VERB
fis-1267	31	12	along	along	ADP
fis-1267	31	13	with	with	ADP
fis-1267	31	14	some	some	DET
fis-1267	31	15	technical	technical	ADJ
fis-1267	31	16	details	detail	NOUN
fis-1267	31	17	concerning	concern	VERB
fis-1267	31	18	its	its	PRON
fis-1267	31	19	implementation	implementation	NOUN
fis-1267	31	20	.	.	PUNCT
fis-1267	32	1	figure	figure	NOUN
fis-1267	32	2	1	1	NUM
fis-1267	32	3	:	:	PUNCT
fis-1267	32	4	standard	standard	ADJ
fis-1267	32	5	solid	solid	ADJ
fis-1267	32	6	phenomenological	phenomenological	ADJ
fis-1267	32	7	model	model	NOUN
fis-1267	32	8	.	.	PUNCT
fis-1267	33	1	strong	strong	ADJ
fis-1267	33	2	form	form	NOUN
fis-1267	33	3	reference	reference	NOUN
fis-1267	33	4	is	be	AUX
fis-1267	33	5	made	make	VERB
fis-1267	33	6	to	to	PART
fis-1267	33	7	fig	fig	VERB
fis-1267	33	8	.	.	PUNCT
fis-1267	34	1	1	1	NUM
fis-1267	34	2	for	for	ADP
fis-1267	34	3	the	the	DET
fis-1267	34	4	standard	standard	ADJ
fis-1267	34	5	viscoelastic	viscoelastic	ADJ
fis-1267	34	6	solid	solid	ADJ
fis-1267	34	7	model	model	NOUN
fis-1267	34	8	that	that	PRON
fis-1267	34	9	is	be	AUX
fis-1267	34	10	the	the	DET
fis-1267	34	11	basis	basis	NOUN
fis-1267	34	12	for	for	SCONJ
fis-1267	34	13	the	the	DET
fis-1267	34	14	continuum	continuum	ADJ
fis-1267	34	15	and	and	CCONJ
fis-1267	34	16	thin	thin	ADJ
fis-1267	34	17	-	-	PUNCT
fis-1267	34	18	beam	beam	NOUN
fis-1267	34	19	models	model	NOUN
fis-1267	34	20	to	to	PART
fis-1267	34	21	be	be	AUX
fis-1267	34	22	developed	develop	VERB
fis-1267	34	23	hereafter	hereafter	ADV
fis-1267	34	24	.	.	PUNCT
fis-1267	35	1	as	as	ADP
fis-1267	35	2	usual	usual	ADJ
fis-1267	35	3	when	when	SCONJ
fis-1267	35	4	adopting	adopt	VERB
fis-1267	35	5	hellinger	hellinger	NOUN
fis-1267	35	6	-	-	PUNCT
fis-1267	35	7	reissner	reissner	NOUN
fis-1267	35	8	variational	variational	ADJ
fis-1267	35	9	principles	principle	NOUN
fis-1267	35	10	,	,	PUNCT
fis-1267	35	11	compliance	compliance	NOUN
fis-1267	35	12	tensors	tensor	NOUN
fis-1267	35	13	relating	relate	VERB
fis-1267	35	14	strains	strain	NOUN
fis-1267	35	15	to	to	ADP
fis-1267	35	16	stresses	stress	NOUN
fis-1267	35	17	are	be	AUX
fis-1267	35	18	introduced	introduce	VERB
fis-1267	35	19	that	that	PRON
fis-1267	35	20	allow	allow	VERB
fis-1267	35	21	one	one	PRON
fis-1267	35	22	to	to	PART
fis-1267	35	23	write	write	VERB
fis-1267	35	24	0	0	NUM
fis-1267	35	25	0	0	NUM
fis-1267	35	26	0	0	NUM
fis-1267	35	27	0	0	NUM
fis-1267	35	28	1	1	NUM
fis-1267	35	29	1	1	NUM
fis-1267	35	30	(	(	PUNCT
fis-1267	35	31	)	)	PUNCT
fis-1267	35	32	(	(	PUNCT
fis-1267	35	33	)	)	PUNCT
fis-1267	35	34	e	e	X
fis-1267	35	35	v	v	X
fis-1267	35	36	e	e	X
fis-1267	35	37	a	a	DET
fis-1267	35	38	a	a	DET
fis-1267	35	39	v	v	NOUN
fis-1267	35	40	a	a	DET
fis-1267	35	41	v	v	NOUN
fis-1267	35	42			NOUN
fis-1267	35	43			PROPN
fis-1267	35	44			PROPN
fis-1267	35	45			PROPN
fis-1267	35	46			PROPN
fis-1267	35	47			ADP
fis-1267	35	48			PROPN
fis-1267	36	1			PROPN
fis-1267	36	2			NUM
fis-1267	37	1			NUM
fis-1267	37	2			NUM
fis-1267	37	3			NOUN
fis-1267	37	4			NOUN
fis-1267	37	5			NOUN
fis-1267	37	6	(	(	PUNCT
fis-1267	37	7	1	1	NUM
fis-1267	37	8	)	)	PUNCT
fis-1267	37	9	where	where	SCONJ
fis-1267	37	10	0	0	NUM
fis-1267	37	11	ea	ea	NOUN
fis-1267	37	12	and	and	CCONJ
fis-1267	37	13	0	0	NUM
fis-1267	37	14	va	va	NOUN
fis-1267	37	15	are	be	AUX
fis-1267	37	16	the	the	DET
fis-1267	37	17	elastic	elastic	ADJ
fis-1267	37	18	and	and	CCONJ
fis-1267	37	19	viscous	viscous	ADJ
fis-1267	37	20	compliance	compliance	NOUN
fis-1267	37	21	tensors	tensor	NOUN
fis-1267	37	22	of	of	ADP
fis-1267	37	23	the	the	DET
fis-1267	37	24	viscoelastic	viscoelastic	ADJ
fis-1267	37	25	component	component	NOUN
fis-1267	37	26	,	,	PUNCT
fis-1267	37	27	1	1	NUM
fis-1267	37	28	ea	ea	NOUN
fis-1267	37	29	is	be	AUX
fis-1267	37	30	the	the	DET
fis-1267	37	31	elastic	elastic	ADJ
fis-1267	37	32	compliance	compliance	NOUN
fis-1267	37	33	tensor	tensor	NOUN
fis-1267	37	34	that	that	PRON
fis-1267	37	35	is	be	AUX
fis-1267	37	36	in	in	ADP
fis-1267	37	37	parallel	parallel	NOUN
fis-1267	37	38	to	to	ADP
fis-1267	37	39	the	the	DET
fis-1267	37	40	viscoelastic	viscoelastic	ADJ
fis-1267	37	41	one	one	NOUN
fis-1267	37	42	and	and	CCONJ
fis-1267	37	43	v	v	NOUN
fis-1267	37	44	is	be	AUX
fis-1267	37	45	the	the	DET
fis-1267	37	46	velocity	velocity	NOUN
fis-1267	37	47	field	field	NOUN
fis-1267	37	48	.	.	PUNCT
fis-1267	38	1	one	one	PRON
fis-1267	38	2	should	should	AUX
fis-1267	38	3	notice	notice	VERB
fis-1267	38	4	that	that	SCONJ
fis-1267	38	5	a	a	DET
fis-1267	38	6	stressvelocity	stressvelocity	NOUN
fis-1267	38	7	formulation	formulation	NOUN
fis-1267	38	8	is	be	AUX
fis-1267	38	9	being	be	AUX
fis-1267	38	10	used	use	VERB
fis-1267	38	11	that	that	PRON
fis-1267	38	12	presents	present	VERB
fis-1267	38	13	several	several	ADJ
fis-1267	38	14	advantages	advantage	NOUN
fis-1267	38	15	over	over	ADP
fis-1267	38	16	more	more	ADJ
fis-1267	38	17	classical	classical	ADJ
fis-1267	38	18	stress	stress	NOUN
fis-1267	38	19	-	-	PUNCT
fis-1267	38	20	displacement	displacement	ADJ
fis-1267	38	21	approaches	approach	NOUN
fis-1267	38	22	,	,	PUNCT
fis-1267	38	23	including	include	VERB
fis-1267	38	24	the	the	DET
fis-1267	38	25	ease	ease	NOUN
fis-1267	38	26	with	with	ADP
fis-1267	38	27	which	which	PRON
fis-1267	38	28	dynamic	dynamic	ADJ
fis-1267	38	29	effects	effect	NOUN
fis-1267	38	30	may	may	AUX
fis-1267	38	31	be	be	AUX
fis-1267	38	32	considered	consider	VERB
fis-1267	38	33	in	in	ADP
fis-1267	38	34	the	the	DET
fis-1267	38	35	analysis	analysis	NOUN
fis-1267	38	36	.	.	PUNCT
fis-1267	39	1	therefore	therefore	ADV
fis-1267	39	2	,	,	PUNCT
fis-1267	39	3	compatibility	compatibility	NOUN
fis-1267	39	4	relations	relation	NOUN
fis-1267	39	5	are	be	AUX
fis-1267	39	6	written	write	VERB
fis-1267	39	7	in	in	ADP
fis-1267	39	8	terms	term	NOUN
fis-1267	39	9	of	of	ADP
fis-1267	39	10	strain	strain	ADJ
fis-1267	39	11	velocities	velocity	NOUN
fis-1267	39	12	as	as	ADP
fis-1267	39	13	g	g	PROPN
fis-1267	39	14	g.	g.	PROPN
fis-1267	39	15	maurelli	maurelli	PROPN
fis-1267	39	16	et	et	PROPN
fis-1267	39	17	alii	alii	PROPN
fis-1267	39	18	,	,	PUNCT
fis-1267	39	19	frattura	frattura	PROPN
fis-1267	39	20	ed	ed	PROPN
fis-1267	39	21	integrità	integrità	PROPN
fis-1267	39	22	strutturale	strutturale	PROPN
fis-1267	39	23	,	,	PUNCT
fis-1267	39	24	29	29	NUM
fis-1267	39	25	(	(	PUNCT
fis-1267	39	26	2014	2014	NUM
fis-1267	39	27	)	)	PUNCT
fis-1267	39	28	351	351	NUM
fis-1267	39	29	-	-	SYM
fis-1267	39	30	363	363	NUM
fis-1267	39	31	;	;	PUNCT
fis-1267	39	32	doi	doi	NOUN
fis-1267	39	33	:	:	PUNCT
fis-1267	39	34	10.3221	10.3221	NUM
fis-1267	39	35	/	/	SYM
fis-1267	39	36	igf	igf	PROPN
fis-1267	39	37	-	-	PUNCT
fis-1267	39	38	esis.29.31	esis.29.31	PROPN
fis-1267	39	39	353	353	NUM
fis-1267	39	40			NOUN
fis-1267	39	41	1	1	NOUN
fis-1267	39	42	(	(	PUNCT
fis-1267	39	43	)	)	PUNCT
fis-1267	39	44	2	2	NUM
fis-1267	39	45	s	s	PART
fis-1267	39	46	tv	tv	NOUN
fis-1267	39	47	v	v	ADP
fis-1267	39	48	v	v	NOUN
fis-1267	39	49	v	v	PROPN
fis-1267	39	50			PROPN
fis-1267	39	51			NOUN
fis-1267	39	52			NUM
fis-1267	39	53			NOUN
fis-1267	39	54			PUNCT
fis-1267	39	55			NOUN
fis-1267	39	56	(	(	PUNCT
fis-1267	39	57	2	2	NUM
fis-1267	39	58	)	)	PUNCT
fis-1267	39	59	whereas	whereas	SCONJ
fis-1267	39	60	the	the	DET
fis-1267	39	61	dynamic	dynamic	ADJ
fis-1267	39	62	equilibrium	equilibrium	NOUN
fis-1267	39	63	reads	read	VERB
fis-1267	39	64	div	div	X
fis-1267	39	65	 	 	SPACE
fis-1267	39	66	v	v	NOUN
fis-1267	39	67	g	g	NOUN
fis-1267	39	68			PROPN
fis-1267	39	69			X
fis-1267	39	70			X
fis-1267	39	71			PROPN
fis-1267	39	72			PROPN
fis-1267	39	73	(	(	PUNCT
fis-1267	39	74	3	3	NUM
fis-1267	39	75	)	)	PUNCT
fis-1267	39	76	truly	truly	ADV
fis-1267	39	77	-	-	PUNCT
fis-1267	39	78	mixed	mix	VERB
fis-1267	39	79	variational	variational	ADJ
fis-1267	39	80	formulation	formulation	NOUN
fis-1267	39	81	by	by	ADP
fis-1267	39	82	observing	observe	VERB
fis-1267	39	83	that	that	SCONJ
fis-1267	39	84	the	the	DET
fis-1267	39	85	total	total	ADJ
fis-1267	39	86	stress	stress	NOUN
fis-1267	39	87			X
fis-1267	39	88	may	may	AUX
fis-1267	39	89	be	be	AUX
fis-1267	39	90	additively	additively	ADV
fis-1267	39	91	decomposed	decompose	VERB
fis-1267	39	92	as	as	ADP
fis-1267	39	93	0	0	NUM
fis-1267	39	94	1	1	NUM
fis-1267	39	95			PROPN
fis-1267	39	96			NOUN
fis-1267	39	97			ADV
fis-1267	39	98	,	,	PUNCT
fis-1267	39	99	the	the	DET
fis-1267	39	100	continuous	continuous	ADJ
fis-1267	39	101	variational	variational	ADJ
fis-1267	39	102	formulation	formulation	NOUN
fis-1267	39	103	of	of	ADP
fis-1267	39	104	the	the	DET
fis-1267	39	105	problem	problem	NOUN
fis-1267	39	106	at	at	ADP
fis-1267	39	107	hand	hand	NOUN
fis-1267	39	108	may	may	AUX
fis-1267	39	109	be	be	AUX
fis-1267	39	110	obtained	obtain	VERB
fis-1267	39	111	by	by	ADP
fis-1267	39	112	eliminating	eliminate	VERB
fis-1267	39	113	the	the	DET
fis-1267	39	114	strain	strain	NOUN
fis-1267	39	115	tensor	tensor	NOUN
fis-1267	39	116			PROPN
fis-1267	39	117	in	in	ADP
fis-1267	39	118	eq	eq	ADP
fis-1267	39	119	.	.	PUNCT
fis-1267	40	1	(	(	PUNCT
fis-1267	40	2	1	1	NUM
fis-1267	40	3	)	)	PUNCT
fis-1267	40	4	and	and	CCONJ
fis-1267	40	5	(	(	PUNCT
fis-1267	40	6	2	2	X
fis-1267	40	7	)	)	PUNCT
fis-1267	40	8	testing	test	VERB
fis-1267	40	9	the	the	DET
fis-1267	40	10	resulting	result	VERB
fis-1267	40	11	equation	equation	NOUN
fis-1267	40	12	by	by	ADP
fis-1267	40	13	two	two	NUM
fis-1267	40	14	virtual	virtual	ADJ
fis-1267	40	15	stress	stress	NOUN
fis-1267	40	16	fields	field	NOUN
fis-1267	40	17	0	0	SYM
fis-1267	40	18	1,	1,	NUM
fis-1267	40	19			NOUN
fis-1267	40	20	and	and	CCONJ
fis-1267	40	21	the	the	DET
fis-1267	40	22	equilibrium	equilibrium	NOUN
fis-1267	40	23	eq	eq	ADP
fis-1267	40	24	.	.	PUNCT
fis-1267	41	1	(	(	PUNCT
fis-1267	41	2	3	3	NUM
fis-1267	41	3	)	)	PUNCT
fis-1267	41	4	by	by	ADP
fis-1267	41	5	a	a	DET
fis-1267	41	6	virtual	virtual	ADJ
fis-1267	41	7	velocity	velocity	NOUN
fis-1267	41	8	field	field	NOUN
fis-1267	41	9	w	w	NOUN
fis-1267	41	10	so	so	ADV
fis-1267	41	11	as	as	SCONJ
fis-1267	41	12	to	to	PART
fis-1267	41	13	write	write	VERB
fis-1267	41	14	:	:	PUNCT
fis-1267	41	15	find	find	VERB
fis-1267	41	16	2	2	NUM
fis-1267	41	17	0	0	NUM
fis-1267	41	18	1	1	NUM
fis-1267	41	19	(	(	PUNCT
fis-1267	41	20	,	,	PUNCT
fis-1267	41	21	,	,	PUNCT
fis-1267	41	22	)	)	PUNCT
fis-1267	41	23	(	(	PUNCT
fis-1267	41	24	div	div	PROPN
fis-1267	41	25	,	,	PUNCT
fis-1267	41	26	)	)	PUNCT
fis-1267	41	27	(	(	PUNCT
fis-1267	41	28	div	div	PROPN
fis-1267	41	29	,	,	PUNCT
fis-1267	41	30	)	)	PUNCT
fis-1267	41	31	(	(	PUNCT
fis-1267	41	32	)	)	PUNCT
fis-1267	41	33	v	v	NOUN
fis-1267	41	34	h	h	NOUN
fis-1267	41	35	h	h	NOUN
fis-1267	41	36	l	l	PROPN
fis-1267	41	37			PROPN
fis-1267	41	38			NOUN
fis-1267	41	39			PROPN
fis-1267	41	40			PROPN
fis-1267	41	41			PROPN
fis-1267	41	42			PROPN
fis-1267	41	43			PROPN
fis-1267	41	44	such	such	ADJ
fis-1267	41	45	that	that	SCONJ
fis-1267	41	46	0	0	NUM
fis-1267	41	47	0	0	NUM
fis-1267	41	48	0	0	NUM
fis-1267	41	49	0	0	NUM
fis-1267	41	50	0	0	NUM
fis-1267	41	51	0	0	NUM
fis-1267	41	52	0	0	NUM
fis-1267	41	53	1	1	NUM
fis-1267	41	54	1	1	NUM
fis-1267	41	55	1	1	NUM
fis-1267	41	56	1	1	NUM
fis-1267	41	57	0	0	NUM
fis-1267	41	58	1	1	NUM
fis-1267	41	59	,	,	PUNCT
fis-1267	41	60	,	,	PUNCT
fis-1267	41	61	,	,	PUNCT
fis-1267	41	62	div	div	X
fis-1267	41	63	  	  	SPACE
fis-1267	41	64	0	0	NUM
fis-1267	41	65	,	,	PUNCT
fis-1267	41	66	,	,	PUNCT
fis-1267	41	67	div	div	X
fis-1267	41	68	  	  	SPACE
fis-1267	41	69	0	0	NUM
fis-1267	41	70	,	,	PUNCT
fis-1267	41	71	div	div	X
fis-1267	41	72	  	  	SPACE
fis-1267	41	73	,	,	PUNCT
fis-1267	41	74	div	div	X
fis-1267	41	75	  	  	SPACE
fis-1267	41	76	,	,	PUNCT
fis-1267	41	77	,	,	PUNCT
fis-1267	41	78	e	e	X
fis-1267	41	79	v	v	X
fis-1267	41	80	e	e	X
fis-1267	41	81	a	a	PRON
fis-1267	41	82	a	a	DET
fis-1267	41	83	v	v	NOUN
fis-1267	41	84	a	a	DET
fis-1267	41	85	v	v	NOUN
fis-1267	41	86	v	v	NOUN
fis-1267	41	87	w	w	PROPN
fis-1267	41	88	w	w	PROPN
fis-1267	41	89	w	w	PROPN
fis-1267	41	90	g	g	PROPN
fis-1267	41	91	w	w	PROPN
fis-1267	41	92			PROPN
fis-1267	41	93			NOUN
fis-1267	41	94			NOUN
fis-1267	41	95			NOUN
fis-1267	41	96			NOUN
fis-1267	41	97			NOUN
fis-1267	41	98			NOUN
fis-1267	41	99			NOUN
fis-1267	41	100			ADP
fis-1267	41	101			X
fis-1267	41	102			X
fis-1267	41	103			X
fis-1267	41	104			PUNCT
fis-1267	41	105			NOUN
fis-1267	41	106			NUM
fis-1267	41	107			PRON
fis-1267	41	108			PROPN
fis-1267	41	109			NUM
fis-1267	41	110			CCONJ
fis-1267	41	111			PROPN
fis-1267	41	112			NOUN
fis-1267	41	113			NUM
fis-1267	41	114			NUM
fis-1267	41	115			NUM
fis-1267	41	116			PRON
fis-1267	41	117			PROPN
fis-1267	41	118			NUM
fis-1267	41	119			CCONJ
fis-1267	41	120			PROPN
fis-1267	41	121			PROPN
fis-1267	41	122			NUM
fis-1267	41	123			NUM
fis-1267	41	124			NUM
fis-1267	41	125			PROPN
fis-1267	41	126			PROPN
fis-1267	41	127			NUM
fis-1267	41	128			PRON
fis-1267	41	129			PROPN
fis-1267	41	130			NUM
fis-1267	41	131			CCONJ
fis-1267	41	132			PROPN
fis-1267	41	133			NUM
fis-1267	41	134			X
fis-1267	41	135			PROPN
fis-1267	41	136			NOUN
fis-1267	41	137			NOUN
fis-1267	41	138			NOUN
fis-1267	41	139	(	(	PUNCT
fis-1267	41	140	4	4	NUM
fis-1267	41	141	)	)	SYM
fis-1267	41	142	2	2	NUM
fis-1267	41	143	0	0	NUM
fis-1267	41	144	1(div	1(div	NUM
fis-1267	41	145	,	,	PUNCT
fis-1267	41	146	)	)	PUNCT
fis-1267	41	147	,	,	PUNCT
fis-1267	41	148	(	(	PUNCT
fis-1267	41	149	div	div	PROPN
fis-1267	41	150	,	,	PUNCT
fis-1267	41	151	)	)	PUNCT
fis-1267	41	152	,	,	PUNCT
fis-1267	41	153	(	(	PUNCT
fis-1267	41	154	)	)	PUNCT
fis-1267	41	155	.h	.h	PUNCT
fis-1267	42	1	h	h	NOUN
fis-1267	43	1	w	w	ADP
fis-1267	43	2	l	l	PROPN
fis-1267	43	3			PROPN
fis-1267	43	4			PROPN
fis-1267	43	5			PROPN
fis-1267	44	1			VERB
fis-1267	44	2			NOUN
fis-1267	44	3			PROPN
fis-1267	44	4			VERB
fis-1267	44	5			NOUN
fis-1267	44	6			PROPN
fis-1267	44	7	in	in	ADP
fis-1267	44	8	more	more	ADJ
fis-1267	44	9	compact	compact	ADJ
fis-1267	44	10	form	form	NOUN
fis-1267	44	11	eq	eq	ADP
fis-1267	44	12	.	.	PUNCT
fis-1267	45	1	(	(	PUNCT
fis-1267	45	2	4	4	X
fis-1267	45	3	)	)	PUNCT
fis-1267	45	4	may	may	AUX
fis-1267	45	5	be	be	AUX
fis-1267	45	6	rewritten	rewrite	VERB
fis-1267	45	7	as	as	ADP
fis-1267	45	8	.	.	PUNCT
fis-1267	46	1	0	0	NUM
fis-1267	46	2	0	0	NUM
fis-1267	46	3	0	0	NUM
fis-1267	46	4	0	0	NUM
fis-1267	46	5	1	1	NUM
fis-1267	46	6	1	1	NUM
fis-1267	46	7	1	1	NUM
fis-1267	46	8	0	0	NUM
fis-1267	46	9	0	0	NUM
fis-1267	46	10	0	0	NUM
fis-1267	46	11	0	0	NUM
fis-1267	46	12	0	0	NUM
fis-1267	46	13	0	0	NUM
fis-1267	46	14	0	0	NUM
fis-1267	46	15	0	0	NUM
fis-1267	46	16	0	0	NUM
fis-1267	46	17	0	0	NUM
fis-1267	46	18	0	0	NUM
fis-1267	46	19	0	0	NUM
fis-1267	46	20	t	t	PROPN
fis-1267	46	21	e	e	X
fis-1267	46	22	v	v	ADP
fis-1267	46	23	t	t	PROPN
fis-1267	46	24	e	e	PROPN
fis-1267	46	25	a	a	DET
fis-1267	46	26	a	a	DET
fis-1267	46	27	b	b	NOUN
fis-1267	46	28	a	a	DET
fis-1267	46	29	b	b	PROPN
fis-1267	46	30	m	m	NOUN
fis-1267	46	31	v	v	PROPN
fis-1267	46	32	b	b	PROPN
fis-1267	46	33	b	b	PROPN
fis-1267	46	34	v	v	NOUN
fis-1267	46	35	g	g	NOUN
fis-1267	46	36			PROPN
fis-1267	46	37			X
fis-1267	46	38			X
fis-1267	46	39			X
fis-1267	46	40			ADP
fis-1267	46	41			NOUN
fis-1267	46	42			PROPN
fis-1267	46	43			NOUN
fis-1267	46	44			PROPN
fis-1267	46	45			PROPN
fis-1267	46	46			NOUN
fis-1267	46	47			PROPN
fis-1267	46	48			PROPN
fis-1267	46	49			PROPN
fis-1267	46	50			PROPN
fis-1267	46	51			PROPN
fis-1267	47	1			NOUN
fis-1267	48	1			PROPN
fis-1267	49	1			PROPN
fis-1267	50	1			INTJ
fis-1267	51	1			PROPN
fis-1267	51	2			PROPN
fis-1267	51	3			PUNCT
fis-1267	52	1			PROPN
fis-1267	52	2			PROPN
fis-1267	52	3			NOUN
fis-1267	53	1			PROPN
fis-1267	54	1			PROPN
fis-1267	55	1			INTJ
fis-1267	56	1			PROPN
fis-1267	56	2			NOUN
fis-1267	57	1			PROPN
fis-1267	58	1			PROPN
fis-1267	59	1			INTJ
fis-1267	60	1			PROPN
fis-1267	60	2			NOUN
fis-1267	61	1			PROPN
fis-1267	61	2			PROPN
fis-1267	61	3			NOUN
fis-1267	61	4			PROPN
fis-1267	61	5			NUM
fis-1267	61	6			PROPN
fis-1267	61	7			NOUN
fis-1267	61	8			NOUN
fis-1267	61	9			NOUN
fis-1267	61	10			NOUN
fis-1267	61	11			PROPN
fis-1267	61	12			NOUN
fis-1267	61	13	(	(	PUNCT
fis-1267	61	14	5	5	NUM
fis-1267	61	15	)	)	PUNCT
fis-1267	61	16	it	it	PRON
fis-1267	61	17	should	should	AUX
fis-1267	61	18	be	be	AUX
fis-1267	61	19	emphasized	emphasize	VERB
fis-1267	61	20	that	that	SCONJ
fis-1267	61	21	static	static	ADJ
fis-1267	61	22	and	and	CCONJ
fis-1267	61	23	dynamic	dynamic	ADJ
fis-1267	61	24	models	model	NOUN
fis-1267	61	25	differ	differ	VERB
fis-1267	61	26	only	only	ADV
fis-1267	61	27	in	in	SCONJ
fis-1267	61	28	that	that	SCONJ
fis-1267	61	29	the	the	DET
fis-1267	61	30	mass	mass	ADJ
fis-1267	61	31	matrix	matrix	NOUN
fis-1267	61	32	m	m	VERB
fis-1267	61	33	may	may	AUX
fis-1267	61	34	be	be	AUX
fis-1267	61	35	neglected	neglect	VERB
fis-1267	61	36	or	or	CCONJ
fis-1267	61	37	considered	consider	VERB
fis-1267	61	38	in	in	ADP
fis-1267	61	39	statics	static	NOUN
fis-1267	61	40	or	or	CCONJ
fis-1267	61	41	dynamics	dynamic	NOUN
fis-1267	61	42	,	,	PUNCT
fis-1267	61	43	respectively	respectively	ADV
fis-1267	61	44	.	.	PUNCT
fis-1267	62	1	eq	eq	X
fis-1267	62	2	.	.	PUNCT
fis-1267	63	1	(	(	PUNCT
fis-1267	63	2	5	5	X
fis-1267	63	3	)	)	PUNCT
fis-1267	63	4	amounts	amount	VERB
fis-1267	63	5	to	to	ADP
fis-1267	63	6	a	a	DET
fis-1267	63	7	system	system	NOUN
fis-1267	63	8	of	of	ADP
fis-1267	63	9	ordinary	ordinary	ADJ
fis-1267	63	10	algebraic	algebraic	ADJ
fis-1267	63	11	-	-	PUNCT
fis-1267	63	12	differential	differential	NOUN
fis-1267	63	13	equations	equation	NOUN
fis-1267	63	14	(	(	PUNCT
fis-1267	63	15	ade	ade	PROPN
fis-1267	63	16	)	)	PUNCT
fis-1267	63	17	in	in	ADP
fis-1267	63	18	the	the	DET
fis-1267	63	19	former	former	ADJ
fis-1267	63	20	case	case	NOUN
fis-1267	63	21	,	,	PUNCT
fis-1267	63	22	of	of	ADP
fis-1267	63	23	differential	differential	ADJ
fis-1267	63	24	equations	equation	NOUN
fis-1267	63	25	in	in	ADP
fis-1267	63	26	the	the	DET
fis-1267	63	27	latter	latter	ADJ
fis-1267	63	28	.	.	PUNCT
fis-1267	64	1	imposing	impose	VERB
fis-1267	64	2	dirichlet	dirichlet	PROPN
fis-1267	64	3	and	and	CCONJ
fis-1267	64	4	neumann	neumann	PROPN
fis-1267	64	5	boundary	boundary	ADJ
fis-1267	64	6	conditions	condition	NOUN
fis-1267	64	7	within	within	ADP
fis-1267	64	8	the	the	DET
fis-1267	64	9	adopted	adopt	VERB
fis-1267	64	10	truly	truly	ADV
fis-1267	64	11	mixed	mix	VERB
fis-1267	64	12	formulations	formulation	NOUN
fis-1267	64	13	,	,	PUNCT
fis-1267	64	14	dirichlet	dirichlet	PROPN
fis-1267	64	15	boundary	boundary	ADJ
fis-1267	64	16	conditions	condition	NOUN
fis-1267	64	17	on	on	ADP
fis-1267	64	18	the	the	DET
fis-1267	64	19	velocity	velocity	NOUN
fis-1267	64	20	field	field	NOUN
fis-1267	64	21	,	,	PUNCT
fis-1267	64	22	on	on	ADP
fis-1267	64	23	uv	uv	NOUN
fis-1267	64	24	v	v	ADV
fis-1267	64	25			VERB
fis-1267	64	26	(	(	PUNCT
fis-1267	64	27	6	6	NUM
fis-1267	64	28	)	)	PUNCT
fis-1267	64	29	are	be	AUX
fis-1267	64	30	imposed	impose	VERB
fis-1267	64	31	weakly	weakly	ADJ
fis-1267	64	32	thanks	thank	NOUN
fis-1267	64	33	to	to	ADP
fis-1267	64	34	the	the	DET
fis-1267	64	35	line	line	NOUN
fis-1267	64	36	integral	integral	ADJ
fis-1267	64	37			NOUN
fis-1267	64	38			PUNCT
fis-1267	64	39	u	u	NOUN
fis-1267	64	40	n	n	PRON
fis-1267	64	41	vds	vds	NOUN
fis-1267	64	42			VERB
fis-1267	64	43			PROPN
fis-1267	64	44			PROPN
fis-1267	64	45	(	(	PUNCT
fis-1267	64	46	7	7	NUM
fis-1267	64	47	)	)	PUNCT
fis-1267	64	48	that	that	PRON
fis-1267	64	49	appears	appear	VERB
fis-1267	64	50	on	on	ADP
fis-1267	64	51	the	the	DET
fis-1267	64	52	right	right	ADJ
fis-1267	64	53	hand	hand	NOUN
fis-1267	64	54	side	side	NOUN
fis-1267	64	55	of	of	ADP
fis-1267	64	56	eq	eq	PROPN
fis-1267	64	57	.	.	PUNCT
fis-1267	65	1	(	(	PUNCT
fis-1267	65	2	4)1	4)1	NOUN
fis-1267	65	3	and	and	CCONJ
fis-1267	65	4	(	(	PUNCT
fis-1267	65	5	4)2	4)2	PROPN
fis-1267	65	6	,	,	PUNCT
fis-1267	65	7	and	and	CCONJ
fis-1267	65	8	in	in	ADP
fis-1267	65	9	fact	fact	NOUN
fis-1267	65	10	,	,	PUNCT
fis-1267	65	11	taking	take	VERB
fis-1267	65	12	no	no	DET
fis-1267	65	13	action	action	NOUN
fis-1267	65	14	on	on	ADP
fis-1267	65	15	a	a	DET
fis-1267	65	16	boundary	boundary	ADJ
fis-1267	65	17	amounts	amount	NOUN
fis-1267	65	18	to	to	ADP
fis-1267	65	19	imposing	impose	VERB
fis-1267	65	20	a	a	DET
fis-1267	65	21	homogeneous	homogeneous	ADJ
fis-1267	65	22	condition	condition	NOUN
fis-1267	65	23	0	0	NUM
fis-1267	65	24	,	,	PUNCT
fis-1267	65	25	on	on	ADP
fis-1267	65	26	uv	uv	NOUN
fis-1267	65	27			PROPN
fis-1267	65	28			VERB
fis-1267	65	29	.	.	PUNCT
fis-1267	66	1	conversely	conversely	ADV
fis-1267	66	2	,	,	PUNCT
fis-1267	66	3	neumann	neumann	PROPN
fis-1267	66	4	traction	traction	PROPN
fis-1267	66	5	boundary	boundary	ADJ
fis-1267	66	6	conditions	condition	NOUN
fis-1267	66	7	n	n	CCONJ
fis-1267	66	8	t	t	ADJ
fis-1267	66	9			PROPN
fis-1267	66	10			NUM
fis-1267	66	11	are	be	AUX
fis-1267	66	12	to	to	PART
fis-1267	66	13	be	be	AUX
fis-1267	66	14	imposed	impose	VERB
fis-1267	66	15	strongly	strongly	ADV
fis-1267	66	16	.	.	PUNCT
fis-1267	67	1	however	however	ADV
fis-1267	67	2	,	,	PUNCT
fis-1267	67	3	when	when	SCONJ
fis-1267	67	4	an	an	DET
fis-1267	67	5	additive	additive	ADJ
fis-1267	67	6	stress	stress	NOUN
fis-1267	67	7	decomposition	decomposition	NOUN
fis-1267	67	8	is	be	AUX
fis-1267	67	9	adopted	adopt	VERB
fis-1267	67	10	,	,	PUNCT
fis-1267	67	11	as	as	SCONJ
fis-1267	67	12	is	be	AUX
fis-1267	67	13	the	the	DET
fis-1267	67	14	case	case	NOUN
fis-1267	67	15	herein	herein	NOUN
fis-1267	67	16	,	,	PUNCT
fis-1267	67	17	i.e.	i.e.	X
fis-1267	67	18	0	0	NUM
fis-1267	67	19	1	1	NUM
fis-1267	67	20			PROPN
fis-1267	67	21			NOUN
fis-1267	67	22			ADV
fis-1267	67	23	,	,	PUNCT
fis-1267	67	24	neither	neither	CCONJ
fis-1267	67	25	0	0	NUM
fis-1267	67	26	nor	nor	CCONJ
fis-1267	67	27	1	1	NUM
fis-1267	67	28	are	be	AUX
fis-1267	67	29	known	know	VERB
fis-1267	67	30	but	but	CCONJ
fis-1267	67	31	their	their	PRON
fis-1267	67	32	sum	sum	NOUN
fis-1267	67	33	.	.	PUNCT
fis-1267	68	1	therefore	therefore	ADV
fis-1267	68	2	a	a	DET
fis-1267	68	3	lagrange	lagrange	NOUN
fis-1267	68	4	multiplier	multipli	ADJ
fis-1267	68	5	approach	approach	NOUN
fis-1267	68	6	is	be	AUX
fis-1267	68	7	adopted	adopt	VERB
fis-1267	68	8	to	to	PART
fis-1267	68	9	enforce	enforce	VERB
fis-1267	68	10	weakly	weakly	ADV
fis-1267	68	11	a	a	DET
fis-1267	68	12	condition	condition	NOUN
fis-1267	68	13	of	of	ADP
fis-1267	68	14	type	type	NOUN
fis-1267	68	15	0	0	NUM
fis-1267	68	16	1	1	NUM
fis-1267	68	17	(	(	PUNCT
fis-1267	68	18	)	)	PUNCT
fis-1267	68	19	n	n	PRON
fis-1267	68	20	t	t	ADJ
fis-1267	68	21			NOUN
fis-1267	68	22			PROPN
fis-1267	68	23			NUM
fis-1267	68	24	.	.	PUNCT
fis-1267	69	1	therefore	therefore	ADV
fis-1267	69	2	,	,	PUNCT
fis-1267	69	3	the	the	DET
fis-1267	69	4	resulting	result	VERB
fis-1267	69	5	linear	linear	ADJ
fis-1267	69	6	algebraic	algebraic	ADJ
fis-1267	69	7	-	-	PUNCT
fis-1267	69	8	differential	differential	NOUN
fis-1267	69	9	system	system	NOUN
fis-1267	69	10	takes	take	VERB
fis-1267	69	11	the	the	DET
fis-1267	69	12	form	form	NOUN
fis-1267	69	13	.	.	PUNCT
fis-1267	70	1	0	0	NUM
fis-1267	71	1	0	0	NUM
fis-1267	71	2	0	0	NUM
fis-1267	71	3	2	2	NUM
fis-1267	71	4	0	0	NUM
fis-1267	71	5	1	1	NUM
fis-1267	71	6	1	1	NUM
fis-1267	71	7	12	12	NUM
fis-1267	71	8	2	2	NUM
fis-1267	71	9	2	2	NUM
fis-1267	71	10	0	0	NUM
fis-1267	71	11	0	0	NUM
fis-1267	71	12	0	0	NUM
fis-1267	71	13	0	0	NUM
fis-1267	71	14	0	0	NUM
fis-1267	71	15	00	00	NUM
fis-1267	71	16	0	0	NUM
fis-1267	71	17	0	0	NUM
fis-1267	71	18	0	0	NUM
fis-1267	71	19	0	0	NUM
fis-1267	71	20	0	0	NUM
fis-1267	71	21	0	0	NUM
fis-1267	71	22	0	0	NUM
fis-1267	71	23	0	0	NUM
fis-1267	71	24	0	0	NUM
fis-1267	71	25	0	0	NUM
fis-1267	71	26	0	0	NUM
fis-1267	71	27	0	0	NUM
fis-1267	71	28	0	0	NUM
fis-1267	71	29	0	0	NUM
fis-1267	71	30	0	0	NUM
fis-1267	71	31	t	t	NOUN
fis-1267	71	32	t	t	X
fis-1267	71	33	e	e	X
fis-1267	71	34	v	v	ADP
fis-1267	71	35	t	t	PROPN
fis-1267	71	36	t	t	PROPN
fis-1267	71	37	e	e	PROPN
fis-1267	71	38	a	a	PRON
fis-1267	71	39	a	a	DET
fis-1267	71	40	b	b	PROPN
fis-1267	71	41	b	b	PROPN
fis-1267	71	42	a	a	DET
fis-1267	71	43	b	b	PROPN
fis-1267	71	44	b	b	PROPN
fis-1267	71	45	v	v	PROPN
fis-1267	71	46	v	v	ADP
fis-1267	71	47	gm	gm	PROPN
fis-1267	72	1	b	b	PROPN
fis-1267	72	2	b	b	PROPN
fis-1267	72	3	tb	tb	ADP
fis-1267	72	4	b	b	PROPN
fis-1267	72	5			X
fis-1267	72	6			X
fis-1267	72	7			X
fis-1267	72	8			PROPN
fis-1267	72	9			X
fis-1267	72	10			X
fis-1267	72	11			ADJ
fis-1267	72	12			NOUN
fis-1267	72	13			PROPN
fis-1267	72	14			NOUN
fis-1267	72	15			PROPN
fis-1267	72	16			PROPN
fis-1267	72	17			NOUN
fis-1267	72	18			PROPN
fis-1267	72	19			NOUN
fis-1267	72	20			PROPN
fis-1267	73	1			PROPN
fis-1267	73	2			PROPN
fis-1267	74	1			PROPN
fis-1267	74	2			NOUN
fis-1267	75	1			PROPN
fis-1267	76	1			PROPN
fis-1267	77	1			INTJ
fis-1267	78	1			PROPN
fis-1267	79	1			INTJ
fis-1267	80	1			PROPN
fis-1267	81	1			INTJ
fis-1267	81	2			PROPN
fis-1267	81	3			NOUN
fis-1267	82	1			PROPN
fis-1267	83	1			PROPN
fis-1267	84	1			INTJ
fis-1267	85	1			PROPN
fis-1267	85	2			PROPN
fis-1267	85	3			PUNCT
fis-1267	86	1			PROPN
fis-1267	86	2			PROPN
fis-1267	86	3			NOUN
fis-1267	87	1			PROPN
fis-1267	88	1			PROPN
fis-1267	88	2			PROPN
fis-1267	89	1			PROPN
fis-1267	90	1			PROPN
fis-1267	90	2			PROPN
fis-1267	91	1			PROPN
fis-1267	91	2			NOUN
fis-1267	92	1			PROPN
fis-1267	93	1			PROPN
fis-1267	94	1			INTJ
fis-1267	95	1			PROPN
fis-1267	95	2			NOUN
fis-1267	96	1			PROPN
fis-1267	96	2			PROPN
fis-1267	96	3			VERB
fis-1267	96	4			NOUN
fis-1267	96	5			PROPN
fis-1267	96	6			NOUN
fis-1267	96	7			NOUN
fis-1267	96	8			NOUN
fis-1267	96	9			NOUN
fis-1267	96	10			PROPN
fis-1267	96	11			NOUN
fis-1267	96	12	(	(	PUNCT
fis-1267	96	13	8)	8)	NUM
fis-1267	96	14	g.	g.	NOUN
fis-1267	96	15	maurelli	maurelli	NOUN
fis-1267	96	16	et	et	PROPN
fis-1267	96	17	alii	alii	PROPN
fis-1267	96	18	,	,	PUNCT
fis-1267	96	19	frattura	frattura	PROPN
fis-1267	96	20	ed	ed	PROPN
fis-1267	96	21	integrità	integrità	PROPN
fis-1267	96	22	strutturale	strutturale	PROPN
fis-1267	96	23	,	,	PUNCT
fis-1267	96	24	29	29	NUM
fis-1267	96	25	(	(	PUNCT
fis-1267	96	26	2014	2014	NUM
fis-1267	96	27	)	)	PUNCT
fis-1267	96	28	351	351	NUM
fis-1267	96	29	-	-	SYM
fis-1267	96	30	363	363	NUM
fis-1267	96	31	;	;	PUNCT
fis-1267	96	32	doi	doi	NOUN
fis-1267	96	33	:	:	PUNCT
fis-1267	96	34	10.3221	10.3221	NUM
fis-1267	96	35	/	/	SYM
fis-1267	96	36	igf	igf	PROPN
fis-1267	96	37	-	-	PUNCT
fis-1267	96	38	esis.29.31	esis.29.31	PROPN
fis-1267	96	39	354	354	NUM
fis-1267	96	40	that	that	PRON
fis-1267	96	41	may	may	AUX
fis-1267	96	42	be	be	AUX
fis-1267	96	43	compactly	compactly	ADV
fis-1267	96	44	rewritten	rewrite	VERB
fis-1267	96	45	as	as	ADP
fis-1267	96	46	1	1	NUM
fis-1267	96	47	0d	0d	NUM
fis-1267	96	48	y	y	PROPN
fis-1267	96	49	d	d	X
fis-1267	96	50	y	y	PROPN
fis-1267	96	51	f	f	PROPN
fis-1267	96	52			NOUN
fis-1267	96	53	(	(	PUNCT
fis-1267	96	54	9	9	NUM
fis-1267	96	55	)	)	PUNCT
fis-1267	96	56	with	with	ADP
fis-1267	96	57	an	an	DET
fis-1267	96	58	obvious	obvious	ADJ
fis-1267	96	59	definition	definition	NOUN
fis-1267	96	60	of	of	ADP
fis-1267	96	61	vectors	vector	NOUN
fis-1267	96	62	and	and	CCONJ
fis-1267	96	63	matrices	matrix	NOUN
fis-1267	96	64	.	.	PUNCT
fis-1267	97	1	the	the	DET
fis-1267	97	2	arnold	arnold	PROPN
fis-1267	97	3	-	-	PUNCT
fis-1267	97	4	winther	winther	PROPN
fis-1267	97	5	finite	finite	PROPN
fis-1267	97	6	element	element	VERB
fis-1267	97	7	the	the	DET
fis-1267	97	8	triangular	triangular	NOUN
fis-1267	97	9	arnold	arnold	PROPN
fis-1267	97	10	-	-	PUNCT
fis-1267	97	11	winther	winther	PROPN
fis-1267	97	12	finite	finite	PROPN
fis-1267	97	13	element	element	NOUN
fis-1267	97	14	used	use	VERB
fis-1267	97	15	in	in	ADP
fis-1267	97	16	this	this	DET
fis-1267	97	17	paper	paper	NOUN
fis-1267	97	18	is	be	AUX
fis-1267	97	19	the	the	DET
fis-1267	97	20	lowest	low	ADJ
fis-1267	97	21	-	-	PUNCT
fis-1267	97	22	order	order	NOUN
fis-1267	97	23	of	of	ADP
fis-1267	97	24	the	the	DET
fis-1267	97	25	family	family	NOUN
fis-1267	97	26	of	of	ADP
fis-1267	97	27	finite	finite	ADJ
fis-1267	97	28	elements	element	NOUN
fis-1267	97	29	introduced	introduce	VERB
fis-1267	97	30	in	in	ADP
fis-1267	97	31	the	the	DET
fis-1267	97	32	pioneering	pioneering	ADJ
fis-1267	97	33	paper	paper	NOUN
fis-1267	98	1	[	[	X
fis-1267	98	2	5	5	NUM
fis-1267	98	3	]	]	PUNCT
fis-1267	98	4	.	.	PUNCT
fis-1267	99	1	fig	fig	NOUN
fis-1267	99	2	.	.	PUNCT
fis-1267	100	1	2	2	NUM
fis-1267	100	2	shows	show	VERB
fis-1267	100	3	the	the	DET
fis-1267	100	4	relevant	relevant	ADJ
fis-1267	100	5	degrees	degree	NOUN
fis-1267	100	6	of	of	ADP
fis-1267	100	7	freedom	freedom	NOUN
fis-1267	100	8	that	that	PRON
fis-1267	100	9	may	may	AUX
fis-1267	100	10	be	be	AUX
fis-1267	100	11	listed	list	VERB
fis-1267	100	12	as	as	SCONJ
fis-1267	100	13	follows	follow	VERB
fis-1267	100	14	.	.	PUNCT
fis-1267	101	1	arnold	arnold	PROPN
fis-1267	101	2	-	-	PUNCT
fis-1267	101	3	winter	winter	NOUN
fis-1267	101	4	stress	stress	NOUN
fis-1267	101	5	dofs	dof	NOUN
fis-1267	101	6	dispacement	dispacement	PROPN
fis-1267	101	7	dofs	dof	NOUN
fis-1267	101	8	figure	figure	NOUN
fis-1267	101	9	2	2	NUM
fis-1267	101	10	:	:	PUNCT
fis-1267	101	11	degrees	degree	NOUN
fis-1267	101	12	-	-	PUNCT
fis-1267	101	13	of	of	ADP
fis-1267	101	14	-	-	PUNCT
fis-1267	101	15	freedom	freedom	NOUN
fis-1267	101	16	of	of	ADP
fis-1267	101	17	the	the	DET
fis-1267	101	18	arnold	arnold	PROPN
fis-1267	101	19	-	-	PUNCT
fis-1267	101	20	winther	winther	PROPN
fis-1267	101	21	stress	stress	NOUN
fis-1267	101	22	element	element	NOUN
fis-1267	101	23	.	.	PUNCT
fis-1267	102	1	as	as	ADP
fis-1267	102	2	to	to	ADP
fis-1267	102	3	the	the	DET
fis-1267	102	4	stresses	stress	NOUN
fis-1267	102	5	,	,	PUNCT
fis-1267	102	6	one	one	PRON
fis-1267	102	7	should	should	AUX
fis-1267	102	8	notice	notice	VERB
fis-1267	102	9	that	that	SCONJ
fis-1267	102	10	the	the	DET
fis-1267	102	11	symmetry	symmetry	NOUN
fis-1267	102	12	of	of	ADP
fis-1267	102	13	the	the	DET
fis-1267	102	14	stress	stress	NOUN
fis-1267	102	15	tensor	tensor	NOUN
fis-1267	102	16	is	be	AUX
fis-1267	102	17	imposed	impose	VERB
fis-1267	102	18	strongly	strongly	ADV
fis-1267	102	19	so	so	SCONJ
fis-1267	102	20	that	that	SCONJ
fis-1267	102	21	the	the	DET
fis-1267	102	22	components	component	NOUN
fis-1267	102	23	to	to	PART
fis-1267	102	24	be	be	AUX
fis-1267	102	25	approximated	approximate	VERB
fis-1267	102	26	are	be	AUX
fis-1267	102	27	11	11	NUM
fis-1267	102	28	22	22	NUM
fis-1267	102	29	12	12	NUM
fis-1267	102	30	,	,	PUNCT
fis-1267	102	31	,	,	PUNCT
fis-1267	102	32			PROPN
fis-1267	102	33			X
fis-1267	102	34			X
fis-1267	102	35	and	and	CCONJ
fis-1267	102	36	one	one	NUM
fis-1267	102	37	ends	end	VERB
fis-1267	102	38	up	up	ADP
fis-1267	102	39	with	with	ADP
fis-1267	102	40	24	24	NUM
fis-1267	102	41	degrees	degree	NOUN
fis-1267	102	42	-	-	PUNCT
fis-1267	102	43	of	of	ADP
fis-1267	102	44	-	-	PUNCT
fis-1267	102	45	freedom	freedom	NOUN
fis-1267	102	46	:	:	PUNCT
fis-1267	102	47			VERB
fis-1267	102	48	the	the	DET
fis-1267	102	49	three	three	NUM
fis-1267	102	50	components	component	NOUN
fis-1267	102	51	of	of	ADP
fis-1267	102	52	the	the	DET
fis-1267	102	53	stress	stress	NOUN
fis-1267	102	54	tensor	tensor	NOUN
fis-1267	102	55	11	11	NUM
fis-1267	102	56	22	22	NUM
fis-1267	102	57	12	12	NUM
fis-1267	102	58	,	,	PUNCT
fis-1267	102	59	,	,	PUNCT
fis-1267	102	60			PROPN
fis-1267	102	61			X
fis-1267	102	62			PROPN
fis-1267	102	63	at	at	ADP
fis-1267	102	64	each	each	DET
fis-1267	102	65	vertex	vertex	NOUN
fis-1267	102	66	of	of	ADP
fis-1267	102	67	the	the	DET
fis-1267	102	68	triangle	triangle	NOUN
fis-1267	102	69	(	(	PUNCT
fis-1267	102	70	9	9	NUM
fis-1267	102	71	dofs	dof	NOUN
fis-1267	102	72	)	)	PUNCT
fis-1267	102	73	,	,	PUNCT
fis-1267	102	74			VERB
fis-1267	102	75	the	the	DET
fis-1267	102	76	moments	moment	NOUN
fis-1267	102	77	of	of	ADP
fis-1267	102	78	order	order	NOUN
fis-1267	102	79	zero	zero	NUM
fis-1267	102	80	and	and	CCONJ
fis-1267	102	81	one	one	NUM
fis-1267	102	82	of	of	ADP
fis-1267	102	83	the	the	DET
fis-1267	102	84	traction	traction	PROPN
fis-1267	102	85	vector	vector	NOUN
fis-1267	102	86	n	n	NOUN
fis-1267	102	87			PROPN
fis-1267	102	88	along	along	ADP
fis-1267	102	89	each	each	DET
fis-1267	102	90	edge	edge	NOUN
fis-1267	102	91	of	of	ADP
fis-1267	102	92	the	the	DET
fis-1267	102	93	triangle	triangle	NOUN
fis-1267	102	94	(	(	PUNCT
fis-1267	102	95	12	12	NUM
fis-1267	102	96	dofs	dof	NOUN
fis-1267	102	97	)	)	PUNCT
fis-1267	102	98	,	,	PUNCT
fis-1267	102	99			VERB
fis-1267	102	100	the	the	DET
fis-1267	102	101	averages	average	NOUN
fis-1267	102	102	of	of	ADP
fis-1267	102	103	the	the	DET
fis-1267	102	104	components	component	NOUN
fis-1267	102	105	of	of	ADP
fis-1267	102	106	the	the	DET
fis-1267	102	107	stress	stress	NOUN
fis-1267	102	108	tensor	tensor	NOUN
fis-1267	102	109	over	over	ADP
fis-1267	102	110	the	the	DET
fis-1267	102	111	triangle	triangle	NOUN
fis-1267	102	112	,	,	PUNCT
fis-1267	102	113	i.e.	i.e.	X
fis-1267	102	114	11	11	NUM
fis-1267	102	115	22	22	NUM
fis-1267	102	116	12	12	NUM
fis-1267	102	117	,	,	PUNCT
fis-1267	102	118	,	,	PUNCT
fis-1267	103	1	t	t	PROPN
fis-1267	103	2	t	t	PROPN
fis-1267	103	3	t	t	PROPN
fis-1267	103	4			X
fis-1267	103	5			PROPN
fis-1267	103	6			NOUN
fis-1267	103	7			NOUN
fis-1267	104	1			PUNCT
fis-1267	104	2	(	(	PUNCT
fis-1267	104	3	3	3	NUM
fis-1267	104	4	dofs	dof	NOUN
fis-1267	104	5	)	)	PUNCT
fis-1267	104	6	.	.	PUNCT
fis-1267	105	1	as	as	ADP
fis-1267	105	2	to	to	ADP
fis-1267	105	3	the	the	DET
fis-1267	105	4	displacements	displacement	NOUN
fis-1267	105	5	,	,	PUNCT
fis-1267	105	6	the	the	DET
fis-1267	105	7	two	two	NUM
fis-1267	105	8	components	component	NOUN
fis-1267	105	9	xu	xu	INTJ
fis-1267	105	10	and	and	CCONJ
fis-1267	105	11	yu	yu	PROPN
fis-1267	105	12	are	be	AUX
fis-1267	105	13	linear	linear	ADJ
fis-1267	105	14	on	on	ADP
fis-1267	105	15	each	each	DET
fis-1267	105	16	element	element	NOUN
fis-1267	105	17	and	and	CCONJ
fis-1267	105	18	globally	globally	ADV
fis-1267	105	19	discontinuous	discontinuous	ADJ
fis-1267	105	20	.	.	PUNCT
fis-1267	106	1	implementation	implementation	NOUN
fis-1267	106	2	details	detail	NOUN
fis-1267	106	3	no	no	ADV
fis-1267	106	4	doubt	doubt	NOUN
fis-1267	106	5	that	that	SCONJ
fis-1267	106	6	implementing	implement	VERB
fis-1267	106	7	the	the	DET
fis-1267	106	8	arnold	arnold	PROPN
fis-1267	106	9	-	-	PUNCT
fis-1267	106	10	winther	winther	PROPN
fis-1267	106	11	finite	finite	PROPN
fis-1267	106	12	element	element	NOUN
fis-1267	106	13	represents	represent	VERB
fis-1267	106	14	a	a	DET
fis-1267	106	15	severe	severe	ADJ
fis-1267	106	16	challenge	challenge	NOUN
fis-1267	106	17	,	,	PUNCT
fis-1267	106	18	especially	especially	ADV
fis-1267	106	19	if	if	SCONJ
fis-1267	106	20	the	the	DET
fis-1267	106	21	goal	goal	NOUN
fis-1267	106	22	of	of	ADP
fis-1267	106	23	minimizing	minimize	VERB
fis-1267	106	24	the	the	DET
fis-1267	106	25	memory	memory	NOUN
fis-1267	106	26	storage	storage	NOUN
fis-1267	106	27	is	be	AUX
fis-1267	106	28	pursued	pursue	VERB
fis-1267	106	29	as	as	SCONJ
fis-1267	106	30	it	it	PRON
fis-1267	106	31	should	should	AUX
fis-1267	106	32	if	if	SCONJ
fis-1267	106	33	one	one	PRON
fis-1267	106	34	recalls	recall	VERB
fis-1267	106	35	that	that	SCONJ
fis-1267	106	36	this	this	DET
fis-1267	106	37	element	element	NOUN
fis-1267	106	38	is	be	AUX
fis-1267	106	39	far	far	ADV
fis-1267	106	40	more	more	ADV
fis-1267	106	41	expensive	expensive	ADJ
fis-1267	106	42	than	than	ADP
fis-1267	106	43	more	more	ADV
fis-1267	106	44	conventional	conventional	ADJ
fis-1267	106	45	(	(	PUNCT
fis-1267	106	46	,	,	PUNCT
fis-1267	106	47	)	)	PUNCT
fis-1267	106	48	u	u	NOUN
fis-1267	107	1	p	p	NOUN
fis-1267	107	2	elements	element	NOUN
fis-1267	107	3	and	and	CCONJ
fis-1267	107	4	other	other	ADJ
fis-1267	107	5	(	(	PUNCT
fis-1267	107	6	)	)	PUNCT
fis-1267	107	7	h	h	NOUN
fis-1267	107	8	div	div	NOUN
fis-1267	107	9	elements	element	NOUN
fis-1267	107	10	such	such	ADJ
fis-1267	107	11	as	as	ADP
fis-1267	107	12	the	the	DET
fis-1267	107	13	johnson	johnson	PROPN
fis-1267	107	14	-	-	PUNCT
fis-1267	107	15	mercier	mercier	PROPN
fis-1267	107	16	element	element	NOUN
fis-1267	107	17	[	[	X
fis-1267	107	18	10	10	NUM
fis-1267	107	19	]	]	PUNCT
fis-1267	107	20	.	.	PUNCT
fis-1267	108	1	a	a	DET
fis-1267	108	2	possible	possible	ADJ
fis-1267	108	3	implementation	implementation	NOUN
fis-1267	108	4	of	of	ADP
fis-1267	108	5	the	the	DET
fis-1267	108	6	arnold	arnold	PROPN
fis-1267	108	7	-	-	PUNCT
fis-1267	108	8	winther	winther	PROPN
fis-1267	108	9	element	element	NOUN
fis-1267	108	10	is	be	AUX
fis-1267	108	11	proposed	propose	VERB
fis-1267	108	12	in	in	ADP
fis-1267	108	13	[	[	X
fis-1267	108	14	6	6	NUM
fis-1267	108	15	]	]	PUNCT
fis-1267	108	16	that	that	PRON
fis-1267	108	17	exploits	exploit	VERB
fis-1267	108	18	indirect	indirect	ADJ
fis-1267	108	19	evaluations	evaluation	NOUN
fis-1267	108	20	of	of	ADP
fis-1267	108	21	the	the	DET
fis-1267	108	22	relevant	relevant	ADJ
fis-1267	108	23	stiffness	stiffness	ADJ
fis-1267	108	24	matrices	matrix	NOUN
fis-1267	108	25	.	.	PUNCT
fis-1267	109	1	within	within	ADP
fis-1267	109	2	the	the	DET
fis-1267	109	3	present	present	ADJ
fis-1267	109	4	paper	paper	NOUN
fis-1267	109	5	,	,	PUNCT
fis-1267	109	6	a	a	DET
fis-1267	109	7	different	different	ADJ
fis-1267	109	8	semi	semi	ADJ
fis-1267	109	9	-	-	ADJ
fis-1267	109	10	analytical	analytical	ADJ
fis-1267	109	11	approach	approach	NOUN
fis-1267	109	12	has	have	AUX
fis-1267	109	13	been	be	AUX
fis-1267	109	14	followed	follow	VERB
fis-1267	109	15	inspired	inspire	VERB
fis-1267	109	16	by	by	ADP
fis-1267	109	17	classical	classical	ADJ
fis-1267	109	18	isoparametric	isoparametric	ADJ
fis-1267	109	19	elements	element	NOUN
fis-1267	109	20	according	accord	VERB
fis-1267	109	21	to	to	ADP
fis-1267	109	22	which	which	PRON
fis-1267	109	23	stress	stress	NOUN
fis-1267	109	24	shape	shape	NOUN
fis-1267	109	25	functions	function	NOUN
fis-1267	109	26	are	be	AUX
fis-1267	109	27	first	first	ADV
fis-1267	109	28	computed	compute	VERB
fis-1267	109	29	analytically	analytically	ADV
fis-1267	109	30	on	on	ADP
fis-1267	109	31	a	a	DET
fis-1267	109	32	parent	parent	NOUN
fis-1267	109	33	triangular	triangular	NOUN
fis-1267	109	34	domain	domain	NOUN
fis-1267	109	35	.	.	PUNCT
fis-1267	110	1	though	though	SCONJ
fis-1267	110	2	not	not	PART
fis-1267	110	3	being	be	AUX
fis-1267	110	4	isoparametric	isoparametric	ADJ
fis-1267	110	5	,	,	PUNCT
fis-1267	110	6	the	the	DET
fis-1267	110	7	arnold	arnold	PROPN
fis-1267	110	8	-	-	PUNCT
fis-1267	110	9	winther	winther	PROPN
fis-1267	110	10	element	element	NOUN
fis-1267	110	11	enjoys	enjoy	VERB
fis-1267	110	12	the	the	DET
fis-1267	110	13	well	well	ADV
fis-1267	110	14	-	-	PUNCT
fis-1267	110	15	known	know	VERB
fis-1267	110	16	piola	piola	PROPN
fis-1267	110	17	transformation	transformation	NOUN
fis-1267	110	18	property	property	NOUN
fis-1267	110	19	ˆ	ˆ	NOUN
fis-1267	110	20	ˆ	ˆ	ADJ
fis-1267	110	21	(	(	PUNCT
fis-1267	110	22	)	)	PUNCT
fis-1267	110	23	(	(	PUNCT
fis-1267	110	24	)	)	PUNCT
fis-1267	110	25	tx	tx	PROPN
fis-1267	110	26	b	b	PROPN
fis-1267	110	27	x	x	X
fis-1267	110	28	b	b	PROPN
fis-1267	110	29			PROPN
fis-1267	110	30	(	(	PUNCT
fis-1267	110	31	10	10	NUM
fis-1267	110	32	)	)	PUNCT
fis-1267	110	33	where	where	SCONJ
fis-1267	110	34	b	b	NOUN
fis-1267	110	35	is	be	AUX
fis-1267	110	36	the	the	DET
fis-1267	110	37	jacobian	jacobian	NOUN
fis-1267	110	38	of	of	ADP
fis-1267	110	39	the	the	DET
fis-1267	110	40	affine	affine	NOUN
fis-1267	110	41	transformation	transformation	NOUN
fis-1267	110	42	between	between	ADP
fis-1267	110	43	the	the	DET
fis-1267	110	44	reference	reference	NOUN
fis-1267	110	45	and	and	CCONJ
fis-1267	110	46	actual	actual	ADJ
fis-1267	110	47	configuration	configuration	NOUN
fis-1267	110	48	.	.	PUNCT
fis-1267	111	1	this	this	PRON
fis-1267	111	2	allows	allow	VERB
fis-1267	111	3	to	to	PART
fis-1267	111	4	compute	compute	VERB
fis-1267	111	5	the	the	DET
fis-1267	111	6	stiffness	stiffness	ADJ
fis-1267	111	7	matrix	matrix	NOUN
fis-1267	111	8	in	in	ADP
fis-1267	111	9	any	any	DET
fis-1267	111	10	actual	actual	ADJ
fis-1267	111	11	deformed	deform	VERB
fis-1267	111	12	configuration	configuration	NOUN
fis-1267	111	13	.	.	PUNCT
fis-1267	112	1	g.	g.	PROPN
fis-1267	112	2	maurelli	maurelli	PROPN
fis-1267	112	3	et	et	PROPN
fis-1267	112	4	alii	alii	PROPN
fis-1267	112	5	,	,	PUNCT
fis-1267	112	6	frattura	frattura	PROPN
fis-1267	112	7	ed	ed	PROPN
fis-1267	112	8	integrità	integrità	PROPN
fis-1267	112	9	strutturale	strutturale	PROPN
fis-1267	112	10	,	,	PUNCT
fis-1267	112	11	29	29	NUM
fis-1267	112	12	(	(	PUNCT
fis-1267	112	13	2014	2014	NUM
fis-1267	112	14	)	)	PUNCT
fis-1267	112	15	351	351	NUM
fis-1267	112	16	-	-	SYM
fis-1267	112	17	363	363	NUM
fis-1267	112	18	;	;	PUNCT
fis-1267	112	19	doi	doi	NOUN
fis-1267	112	20	:	:	PUNCT
fis-1267	112	21	10.3221	10.3221	NUM
fis-1267	112	22	/	/	SYM
fis-1267	112	23	igf	igf	PROPN
fis-1267	112	24	-	-	PUNCT
fis-1267	112	25	esis.29.31	esis.29.31	PROPN
fis-1267	112	26	355	355	NUM
fis-1267	112	27	formulation	formulation	NOUN
fis-1267	112	28	and	and	CCONJ
fis-1267	112	29	discretization	discretization	NOUN
fis-1267	112	30	(	(	PUNCT
fis-1267	112	31	thin	thin	ADJ
fis-1267	112	32	beam	beam	NOUN
fis-1267	112	33	case	case	NOUN
fis-1267	112	34	)	)	PUNCT
fis-1267	112	35	he	he	PRON
fis-1267	112	36	present	present	ADJ
fis-1267	112	37	section	section	NOUN
fis-1267	112	38	mimics	mimic	VERB
fis-1267	112	39	the	the	DET
fis-1267	112	40	content	content	NOUN
fis-1267	112	41	of	of	ADP
fis-1267	112	42	previous	previous	ADJ
fis-1267	112	43	one	one	NOUN
fis-1267	112	44	but	but	CCONJ
fis-1267	112	45	for	for	ADP
fis-1267	112	46	the	the	DET
fis-1267	112	47	fact	fact	NOUN
fis-1267	112	48	that	that	SCONJ
fis-1267	112	49	it	it	PRON
fis-1267	112	50	focuses	focus	VERB
fis-1267	112	51	on	on	ADP
fis-1267	112	52	a	a	DET
fis-1267	112	53	bernoulli	bernoulli	PROPN
fis-1267	112	54	viscoelastic	viscoelastic	NOUN
fis-1267	112	55	beam	beam	NOUN
fis-1267	112	56	.	.	PUNCT
fis-1267	113	1	truly	truly	ADV
fis-1267	113	2	mixed	mixed	ADJ
fis-1267	113	3	variational	variational	ADJ
fis-1267	113	4	form	form	NOUN
fis-1267	113	5	and	and	CCONJ
fis-1267	113	6	fem	fem	NOUN
fis-1267	113	7	discretization	discretization	VERB
fis-1267	113	8	the	the	DET
fis-1267	113	9	phenomenological	phenomenological	ADJ
fis-1267	113	10	model	model	NOUN
fis-1267	113	11	of	of	ADP
fis-1267	113	12	fig	fig	NOUN
fis-1267	113	13	.	.	PUNCT
fis-1267	114	1	1	1	NUM
fis-1267	114	2	is	be	AUX
fis-1267	114	3	now	now	ADV
fis-1267	114	4	used	use	VERB
fis-1267	114	5	to	to	PART
fis-1267	114	6	express	express	VERB
fis-1267	114	7	the	the	DET
fis-1267	114	8	adopted	adopt	VERB
fis-1267	114	9	viscoelastic	viscoelastic	ADJ
fis-1267	114	10	behavior	behavior	NOUN
fis-1267	114	11	in	in	ADP
fis-1267	114	12	terms	term	NOUN
fis-1267	114	13	of	of	ADP
fis-1267	114	14	bending	bend	VERB
fis-1267	114	15	moments	moment	NOUN
fis-1267	114	16	m	m	VERB
fis-1267	114	17	and	and	CCONJ
fis-1267	114	18	dual	dual	ADJ
fis-1267	114	19	curvatures	curvature	NOUN
fis-1267	114	20			NOUN
fis-1267	114	21	.	.	PUNCT
fis-1267	115	1	eq	eq	X
fis-1267	115	2	.	.	PUNCT
fis-1267	116	1	(	(	PUNCT
fis-1267	116	2	1	1	X
fis-1267	116	3	)	)	PUNCT
fis-1267	116	4	is	be	AUX
fis-1267	116	5	then	then	ADV
fis-1267	116	6	rewritten	rewrite	VERB
fis-1267	116	7	in	in	ADP
fis-1267	116	8	the	the	DET
fis-1267	116	9	form	form	NOUN
fis-1267	116	10	0	0	NUM
fis-1267	116	11	00	00	SYM
fis-1267	116	12	0	0	NUM
fis-1267	117	1	11	11	NUM
fis-1267	117	2	1	1	NUM
fis-1267	117	3	1	1	NUM
fis-1267	117	4	1	1	NUM
fis-1267	117	5	e	e	NOUN
fis-1267	117	6	v	v	NOUN
fis-1267	117	7	e	e	NOUN
fis-1267	117	8	m	m	VERB
fis-1267	117	9	m	m	VERB
fis-1267	117	10	ej	ej	INTJ
fis-1267	117	11	ej	ej	PROPN
fis-1267	117	12	m	m	PROPN
fis-1267	117	13	ej	ej	PROPN
fis-1267	117	14			NOUN
fis-1267	117	15			VERB
fis-1267	117	16			ADV
fis-1267	117	17			ADV
fis-1267	117	18			VERB
fis-1267	117	19			NUM
fis-1267	117	20			NUM
fis-1267	117	21			NUM
fis-1267	117	22			NOUN
fis-1267	117	23			NOUN
fis-1267	117	24	(	(	PUNCT
fis-1267	117	25	11	11	NUM
fis-1267	117	26	)	)	PUNCT
fis-1267	117	27	and	and	CCONJ
fis-1267	117	28	coupled	couple	VERB
fis-1267	117	29	to	to	ADP
fis-1267	117	30	the	the	DET
fis-1267	117	31	equilibrium	equilibrium	NOUN
fis-1267	117	32	equation	equation	NOUN
fis-1267	117	33	''	''	PUNCT
fis-1267	117	34	m	m	VERB
fis-1267	117	35	q	q	ADJ
fis-1267	117	36			NOUN
fis-1267	117	37	(	(	PUNCT
fis-1267	117	38	12	12	NUM
fis-1267	117	39	)	)	PUNCT
fis-1267	117	40	to	to	PART
fis-1267	117	41	arrive	arrive	VERB
fis-1267	117	42	at	at	ADP
fis-1267	117	43	the	the	DET
fis-1267	117	44	following	follow	VERB
fis-1267	117	45	hellinger	hellinger	NOUN
fis-1267	117	46	-	-	PUNCT
fis-1267	117	47	reissner	reissner	NOUN
fis-1267	117	48	truly	truly	ADV
fis-1267	117	49	-	-	PUNCT
fis-1267	117	50	mixed	mixed	ADJ
fis-1267	117	51	formulation	formulation	NOUN
fis-1267	117	52	:	:	PUNCT
fis-1267	117	53	find	find	VERB
fis-1267	117	54	2	2	NUM
fis-1267	117	55	2	2	NUM
fis-1267	117	56	2	2	NUM
fis-1267	117	57	0	0	NUM
fis-1267	117	58	1	1	NUM
fis-1267	117	59	(	(	PUNCT
fis-1267	117	60	,	,	PUNCT
fis-1267	117	61	,	,	PUNCT
fis-1267	117	62	)	)	PUNCT
fis-1267	117	63	(	(	PUNCT
fis-1267	117	64	)	)	PUNCT
fis-1267	117	65	m	m	VERB
fis-1267	117	66	m	m	VERB
fis-1267	117	67	v	v	NOUN
fis-1267	118	1	h	h	NOUN
fis-1267	118	2	h	h	NOUN
fis-1267	118	3	l	l	NOUN
fis-1267	118	4			AUX
fis-1267	118	5			VERB
fis-1267	118	6	such	such	ADJ
fis-1267	118	7	that	that	PRON
fis-1267	118	8	:	:	PUNCT
fis-1267	119	1	*	*	PUNCT
fis-1267	120	1	*	*	PUNCT
fis-1267	120	2	*	*	PUNCT
fis-1267	120	3	0	0	NUM
fis-1267	120	4	0	0	NUM
fis-1267	120	5	0	0	NUM
fis-1267	120	6	0	0	NUM
fis-1267	120	7	00	00	NUM
fis-1267	120	8	0	0	NUM
fis-1267	120	9	0	0	NUM
fis-1267	120	10	0	0	NUM
fis-1267	120	11	0	0	NUM
fis-1267	121	1	*	*	PUNCT
fis-1267	122	1	*	*	PUNCT
fis-1267	122	2	1	1	NUM
fis-1267	122	3	1	1	NUM
fis-1267	122	4	10	10	NUM
fis-1267	122	5	0	0	NUM
fis-1267	122	6	0	0	NUM
fis-1267	122	7	0	0	NUM
fis-1267	122	8	1	1	NUM
fis-1267	122	9	0	0	NUM
fis-1267	122	10	0	0	NUM
fis-1267	122	11	0	0	NUM
fis-1267	122	12	0	0	NUM
fis-1267	122	13	1	1	NUM
fis-1267	122	14	1	1	NUM
fis-1267	122	15	0	0	NUM
fis-1267	122	16	1	1	NUM
fis-1267	122	17	0	0	NUM
fis-1267	122	18	e	e	NOUN
fis-1267	122	19	v	v	X
fis-1267	122	20	e	e	NOUN
fis-1267	122	21	m	m	VERB
fis-1267	122	22	m	m	VERB
fis-1267	122	23	m	m	VERB
fis-1267	122	24	m	m	PROPN
fis-1267	122	25	vm	vm	PROPN
fis-1267	122	26	ej	ej	PROPN
fis-1267	122	27	ej	ej	PROPN
fis-1267	122	28	m	m	PROPN
fis-1267	122	29	m	m	VERB
fis-1267	122	30	vm	vm	PROPN
fis-1267	122	31	ej	ej	PROPN
fis-1267	122	32	vw	vw	PROPN
fis-1267	122	33	m	m	PROPN
fis-1267	122	34	w	w	PROPN
fis-1267	122	35	m	m	PROPN
fis-1267	122	36	w	w	PROPN
fis-1267	122	37	qw	qw	PROPN
fis-1267	122	38			PROPN
fis-1267	122	39			PROPN
fis-1267	122	40			PROPN
fis-1267	122	41			PROPN
fis-1267	122	42			ADV
fis-1267	122	43			ADV
fis-1267	122	44			PUNCT
fis-1267	122	45			NOUN
fis-1267	122	46			NUM
fis-1267	122	47			NUM
fis-1267	122	48			NUM
fis-1267	122	49			PROPN
fis-1267	122	50			VERB
fis-1267	122	51			PROPN
fis-1267	122	52			NUM
fis-1267	122	53			NUM
fis-1267	122	54			PRON
fis-1267	122	55			PROPN
fis-1267	122	56			VERB
fis-1267	122	57			PUNCT
fis-1267	122	58			PROPN
fis-1267	122	59			PROPN
fis-1267	122	60			PROPN
fis-1267	122	61			NOUN
fis-1267	122	62			X
fis-1267	122	63			X
fis-1267	122	64			X
fis-1267	122	65			X
fis-1267	122	66			X
fis-1267	122	67			NOUN
fis-1267	122	68			X
fis-1267	122	69			X
fis-1267	122	70			X
fis-1267	122	71			ADJ
fis-1267	122	72			ADJ
fis-1267	122	73			ADJ
fis-1267	122	74			ADJ
fis-1267	122	75			ADJ
fis-1267	122	76			ADJ
fis-1267	122	77			ADJ
fis-1267	122	78			ADJ
fis-1267	122	79			ADJ
fis-1267	122	80			NOUN
fis-1267	122	81			NOUN
fis-1267	122	82	(	(	PUNCT
fis-1267	122	83	13	13	NUM
fis-1267	122	84	)	)	PUNCT
fis-1267	122	85	*	*	PUNCT
fis-1267	123	1	2	2	NUM
fis-1267	123	2	*	*	SYM
fis-1267	123	3	2	2	NUM
fis-1267	123	4	2	2	NUM
fis-1267	123	5	0	0	NUM
fis-1267	123	6	1	1	NUM
fis-1267	123	7	,	,	PUNCT
fis-1267	123	8	,	,	PUNCT
fis-1267	123	9	m	m	VERB
fis-1267	123	10	h	h	NOUN
fis-1267	123	11	m	m	NOUN
fis-1267	123	12	h	h	NOUN
fis-1267	123	13	w	w	PROPN
fis-1267	123	14	l	l	ADJ
fis-1267	123	15			NOUN
fis-1267	123	16			VERB
fis-1267	123	17			PROPN
fis-1267	123	18			VERB
fis-1267	123	19			PROPN
fis-1267	123	20	,	,	PUNCT
fis-1267	123	21	which	which	PRON
fis-1267	123	22	is	be	AUX
fis-1267	123	23	apparently	apparently	ADV
fis-1267	123	24	the	the	DET
fis-1267	123	25	thin	thin	ADJ
fis-1267	123	26	beam	beam	NOUN
fis-1267	123	27	counterpart	counterpart	NOUN
fis-1267	123	28	to	to	ADP
fis-1267	123	29	eq	eq	PROPN
fis-1267	123	30	.	.	PUNCT
fis-1267	124	1	(	(	PUNCT
fis-1267	124	2	4	4	NUM
fis-1267	124	3	)	)	PUNCT
fis-1267	124	4	.	.	PUNCT
fis-1267	125	1	as	as	ADP
fis-1267	125	2	to	to	ADP
fis-1267	125	3	the	the	DET
fis-1267	125	4	finite	finite	ADJ
fis-1267	125	5	element	element	NOUN
fis-1267	125	6	discretization	discretization	NOUN
fis-1267	125	7	,	,	PUNCT
fis-1267	125	8	the	the	DET
fis-1267	125	9	bending	bend	VERB
fis-1267	125	10	moment	moment	NOUN
fis-1267	125	11	is	be	AUX
fis-1267	125	12	approximated	approximate	VERB
fis-1267	125	13	by	by	ADP
fis-1267	125	14	means	mean	NOUN
fis-1267	125	15	of	of	ADP
fis-1267	125	16	cubic	cubic	ADJ
fis-1267	125	17	hermite	hermite	ADJ
fis-1267	125	18	polynomials	polynomial	NOUN
fis-1267	125	19	so	so	SCONJ
fis-1267	125	20	that	that	SCONJ
fis-1267	125	21	each	each	DET
fis-1267	125	22	node	node	NOUN
fis-1267	125	23	has	have	VERB
fis-1267	125	24	two	two	NUM
fis-1267	125	25	degrees	degree	NOUN
fis-1267	125	26	of	of	ADP
fis-1267	125	27	freedom	freedom	NOUN
fis-1267	125	28	,	,	PUNCT
fis-1267	125	29	i.e.	i.e.	X
fis-1267	125	30	the	the	DET
fis-1267	125	31	bending	bend	VERB
fis-1267	125	32	moment	moment	NOUN
fis-1267	125	33	itself	itself	PRON
fis-1267	125	34	and	and	CCONJ
fis-1267	125	35	its	its	PRON
fis-1267	125	36	first	first	ADJ
fis-1267	125	37	spatial	spatial	ADJ
fis-1267	125	38	derivative	derivative	NOUN
fis-1267	125	39	,	,	PUNCT
fis-1267	125	40	i.e.	i.e.	X
fis-1267	125	41	the	the	DET
fis-1267	125	42	shear	shear	NOUN
fis-1267	125	43	value	value	NOUN
fis-1267	125	44	.	.	PUNCT
fis-1267	126	1	by	by	ADP
fis-1267	126	2	analogy	analogy	NOUN
fis-1267	126	3	with	with	ADP
fis-1267	126	4	the	the	DET
fis-1267	126	5	continuum	continuum	ADJ
fis-1267	126	6	case	case	NOUN
fis-1267	126	7	,	,	PUNCT
fis-1267	126	8	the	the	DET
fis-1267	126	9	velocities	velocity	NOUN
fis-1267	126	10	are	be	AUX
fis-1267	126	11	interpolated	interpolate	VERB
fis-1267	126	12	by	by	ADP
fis-1267	126	13	elementwise	elementwise	ADJ
fis-1267	126	14	linear	linear	NOUN
fis-1267	126	15	,	,	PUNCT
fis-1267	126	16	globally	globally	ADV
fis-1267	126	17	discontinuous	discontinuous	ADJ
fis-1267	126	18	polynomials	polynomial	NOUN
fis-1267	126	19	.	.	PUNCT
fis-1267	127	1	for	for	ADP
fis-1267	127	2	later	later	ADJ
fis-1267	127	3	use	use	NOUN
fis-1267	127	4	,	,	PUNCT
fis-1267	127	5	eq	eq	NOUN
fis-1267	127	6	.	.	PUNCT
fis-1267	128	1	(	(	PUNCT
fis-1267	128	2	14	14	NUM
fis-1267	128	3	)	)	PUNCT
fis-1267	128	4	is	be	AUX
fis-1267	128	5	rewritten	rewrite	VERB
fis-1267	128	6	in	in	ADP
fis-1267	128	7	compact	compact	ADJ
fis-1267	128	8	form	form	NOUN
fis-1267	128	9	as	as	ADP
fis-1267	128	10	1	1	NUM
fis-1267	128	11	0d	0d	NUM
fis-1267	128	12	y	y	PROPN
fis-1267	128	13	d	d	X
fis-1267	128	14	y	y	PROPN
fis-1267	128	15	f	f	PROPN
fis-1267	128	16			NOUN
fis-1267	128	17	(	(	PUNCT
fis-1267	128	18	15	15	NUM
fis-1267	128	19	)	)	PUNCT
fis-1267	128	20	where	where	SCONJ
fis-1267	128	21	1	1	NUM
fis-1267	128	22	*	*	PUNCT
fis-1267	129	1	*	*	PUNCT
fis-1267	130	1	*	*	PUNCT
fis-1267	130	2	0	0	NUM
fis-1267	130	3	0	0	NUM
fis-1267	130	4	0	0	NUM
fis-1267	130	5	0	0	NUM
fis-1267	130	6	00	00	NUM
fis-1267	130	7	0	0	NUM
fis-1267	130	8	0	0	NUM
fis-1267	130	9	0	0	NUM
fis-1267	130	10	0	0	NUM
fis-1267	131	1	*	*	SYM
fis-1267	131	2	1	1	NUM
fis-1267	131	3	*	*	SYM
fis-1267	131	4	1	1	NUM
fis-1267	131	5	1	1	NUM
fis-1267	131	6	1	1	NUM
fis-1267	131	7	00	00	NUM
fis-1267	131	8	0	0	NUM
fis-1267	131	9	0	0	NUM
fis-1267	131	10	0	0	NUM
fis-1267	131	11	0	0	NUM
fis-1267	131	12	0	0	NUM
fis-1267	131	13	0	0	NUM
fis-1267	131	14	1	1	NUM
fis-1267	131	15	1	1	NUM
fis-1267	131	16	0	0	NUM
fis-1267	131	17	0	0	NUM
fis-1267	131	18	0	0	NUM
fis-1267	131	19	1	1	NUM
fis-1267	131	20	0	0	NUM
fis-1267	131	21	0	0	NUM
fis-1267	131	22	,	,	PUNCT
fis-1267	131	23	0	0	NUM
fis-1267	131	24	0	0	NUM
fis-1267	131	25	0	0	NUM
fis-1267	131	26	0	0	NUM
fis-1267	131	27	0	0	NUM
fis-1267	131	28	e	e	NOUN
fis-1267	131	29	v	v	X
fis-1267	131	30	e	e	NOUN
fis-1267	131	31	m	m	VERB
fis-1267	131	32	m	m	VERB
fis-1267	131	33	m	m	VERB
fis-1267	131	34	m	m	PROPN
fis-1267	131	35	vm	vm	NOUN
fis-1267	131	36	ej	ej	INTJ
fis-1267	131	37	ej	ej	PROPN
fis-1267	132	1	d	d	PROPN
fis-1267	132	2	m	m	VERB
fis-1267	132	3	m	m	VERB
fis-1267	132	4	d	d	X
fis-1267	132	5	vm	vm	PROPN
fis-1267	132	6	ej	ej	PROPN
fis-1267	132	7	vw	vw	PROPN
fis-1267	132	8	m	m	PROPN
fis-1267	132	9	w	w	PROPN
fis-1267	132	10	m	m	VERB
fis-1267	132	11	w	w	INTJ
fis-1267	132	12			PROPN
fis-1267	132	13			PROPN
fis-1267	132	14			PROPN
fis-1267	132	15			PROPN
fis-1267	132	16			NOUN
fis-1267	132	17			NOUN
fis-1267	132	18			NOUN
fis-1267	132	19			PROPN
fis-1267	133	1			PROPN
fis-1267	133	2			PROPN
fis-1267	134	1			PROPN
fis-1267	135	1			INTJ
fis-1267	136	1			PROPN
fis-1267	137	1			INTJ
fis-1267	138	1			PROPN
fis-1267	139	1			INTJ
fis-1267	140	1			PROPN
fis-1267	141	1			INTJ
fis-1267	142	1			PROPN
fis-1267	143	1			INTJ
fis-1267	144	1			PROPN
fis-1267	145	1			PROPN
fis-1267	146	1			PROPN
fis-1267	147	1			NOUN
fis-1267	147	2			PUNCT
fis-1267	148	1			PROPN
fis-1267	149	1			PROPN
fis-1267	150	1			INTJ
fis-1267	151	1			PROPN
fis-1267	152	1			INTJ
fis-1267	153	1			PROPN
fis-1267	154	1			INTJ
fis-1267	155	1			PROPN
fis-1267	156	1			INTJ
fis-1267	157	1			PROPN
fis-1267	158	1			INTJ
fis-1267	159	1			PROPN
fis-1267	160	1			PROPN
fis-1267	160	2			PROPN
fis-1267	161	1			PROPN
fis-1267	161	2			PROPN
fis-1267	162	1			PROPN
fis-1267	162	2			PROPN
fis-1267	163	1			ADJ
fis-1267	163	2			PROPN
fis-1267	163	3			PROPN
fis-1267	163	4			NOUN
fis-1267	163	5			PUNCT
fis-1267	163	6			X
fis-1267	163	7			X
fis-1267	164	1			X
fis-1267	164	2			X
fis-1267	165	1			NOUN
fis-1267	165	2			X
fis-1267	165	3			X
fis-1267	165	4			X
fis-1267	165	5			ADJ
fis-1267	165	6			ADJ
fis-1267	165	7			ADJ
fis-1267	165	8			ADJ
fis-1267	165	9			ADJ
fis-1267	165	10			ADJ
fis-1267	165	11			X
fis-1267	165	12	(	(	PUNCT
fis-1267	165	13	16	16	NUM
fis-1267	165	14	)	)	PUNCT
fis-1267	165	15	and	and	CCONJ
fis-1267	165	16	0	0	NUM
fis-1267	165	17	1	1	NUM
fis-1267	165	18	0	0	NUM
fis-1267	165	19	,	,	PUNCT
fis-1267	165	20	0	0	NUM
fis-1267	166	1	m	m	VERB
fis-1267	166	2	y	y	VERB
fis-1267	166	3	m	m	NOUN
fis-1267	166	4	f	f	NOUN
fis-1267	166	5	v	v	PROPN
fis-1267	166	6	q	q	PROPN
fis-1267	166	7			NOUN
fis-1267	166	8			PROPN
fis-1267	166	9			NOUN
fis-1267	166	10			PROPN
fis-1267	166	11			PROPN
fis-1267	167	1			PROPN
fis-1267	168	1			PROPN
fis-1267	168	2			NOUN
fis-1267	168	3			PUNCT
fis-1267	169	1			PROPN
fis-1267	169	2			PROPN
fis-1267	169	3			NOUN
fis-1267	170	1			PROPN
fis-1267	171	1			PROPN
fis-1267	171	2			PROPN
fis-1267	172	1			ADJ
fis-1267	172	2			PROPN
fis-1267	172	3			PROPN
fis-1267	172	4			NOUN
fis-1267	172	5	t	t	NOUN
fis-1267	172	6	g.	g.	NOUN
fis-1267	172	7	maurelli	maurelli	PROPN
fis-1267	172	8	et	et	PROPN
fis-1267	172	9	alii	alii	PROPN
fis-1267	172	10	,	,	PUNCT
fis-1267	172	11	frattura	frattura	PROPN
fis-1267	172	12	ed	ed	PROPN
fis-1267	172	13	integrità	integrità	PROPN
fis-1267	172	14	strutturale	strutturale	PROPN
fis-1267	172	15	,	,	PUNCT
fis-1267	172	16	29	29	NUM
fis-1267	172	17	(	(	PUNCT
fis-1267	172	18	2014	2014	NUM
fis-1267	172	19	)	)	PUNCT
fis-1267	172	20	351	351	NUM
fis-1267	172	21	-	-	SYM
fis-1267	172	22	363	363	NUM
fis-1267	172	23	;	;	PUNCT
fis-1267	172	24	doi	doi	NOUN
fis-1267	172	25	:	:	PUNCT
fis-1267	172	26	10.3221	10.3221	NUM
fis-1267	172	27	/	/	SYM
fis-1267	172	28	igf	igf	PROPN
fis-1267	172	29	-	-	PUNCT
fis-1267	172	30	esis.29.31	esis.29.31	PROPN
fis-1267	172	31	356	356	NUM
fis-1267	172	32	eigenvalue	eigenvalue	NOUN
fis-1267	172	33	-	-	PUNCT
fis-1267	172	34	based	base	VERB
fis-1267	172	35	topology	topology	NOUN
fis-1267	172	36	optimization	optimization	NOUN
fis-1267	172	37	and	and	CCONJ
fis-1267	172	38	solution	solution	NOUN
fis-1267	172	39	of	of	ADP
fis-1267	172	40	the	the	DET
fis-1267	172	41	differential	differential	ADJ
fis-1267	172	42	-	-	PUNCT
fis-1267	172	43	algebraic	algebraic	ADJ
fis-1267	172	44	problem	problem	NOUN
fis-1267	172	45	eigenvalue	eigenvalue	PROPN
fis-1267	172	46	based	base	VERB
fis-1267	172	47	topology	topology	NOUN
fis-1267	172	48	optimization	optimization	NOUN
fis-1267	172	49	he	he	PRON
fis-1267	172	50	abstract	abstract	VERB
fis-1267	172	51	unforced	unforced	ADJ
fis-1267	172	52	equation	equation	NOUN
fis-1267	172	53	of	of	ADP
fis-1267	172	54	motion	motion	NOUN
fis-1267	172	55	for	for	ADP
fis-1267	172	56	the	the	DET
fis-1267	172	57	two	two	NUM
fis-1267	172	58	systems	system	NOUN
fis-1267	172	59	intriduced	intriduce	VERB
fis-1267	172	60	above	above	ADP
fis-1267	172	61	reads	read	VERB
fis-1267	172	62	1	1	NUM
fis-1267	172	63	0	0	NUM
fis-1267	172	64	0d	0d	NOUN
fis-1267	173	1	y	y	PROPN
fis-1267	173	2	d	d	NOUN
fis-1267	173	3	y	y	PROPN
fis-1267	173	4			NOUN
fis-1267	173	5	(	(	PUNCT
fis-1267	173	6	18	18	NUM
fis-1267	173	7	)	)	PUNCT
fis-1267	173	8	that	that	PRON
fis-1267	173	9	,	,	PUNCT
fis-1267	173	10	by	by	ADP
fis-1267	173	11	considering	consider	VERB
fis-1267	173	12	a	a	DET
fis-1267	173	13	vector	vector	NOUN
fis-1267	173	14	solution	solution	NOUN
fis-1267	173	15	of	of	ADP
fis-1267	173	16	type	type	NOUN
fis-1267	173	17	(	(	PUNCT
fis-1267	173	18	)	)	PUNCT
fis-1267	173	19	sty	sty	PROPN
fis-1267	173	20	t	t	PROPN
fis-1267	173	21	ye	ye	PROPN
fis-1267	173	22	,	,	PUNCT
fis-1267	173	23	gives	give	VERB
fis-1267	173	24	rise	rise	NOUN
fis-1267	173	25	to	to	ADP
fis-1267	173	26	the	the	DET
fis-1267	173	27	classical	classical	ADJ
fis-1267	173	28	generalized	generalized	ADJ
fis-1267	173	29	eigenproblem	eigenproblem	NOUN
fis-1267	173	30	0	0	NUM
fis-1267	173	31	1	1	NUM
fis-1267	173	32	[	[	X
fis-1267	173	33	]	]	X
fis-1267	173	34	0.d	0.d	NUM
fis-1267	173	35	sd	sd	ADP
fis-1267	173	36	y	y	PROPN
fis-1267	173	37			NOUN
fis-1267	174	1	(	(	PUNCT
fis-1267	174	2	19	19	NUM
fis-1267	174	3	)	)	PUNCT
fis-1267	174	4	the	the	DET
fis-1267	174	5	class	class	NOUN
fis-1267	174	6	of	of	ADP
fis-1267	174	7	eigenvalue	eigenvalue	PROPN
fis-1267	174	8	based	base	VERB
fis-1267	174	9	optimal	optimal	ADJ
fis-1267	174	10	design	design	NOUN
fis-1267	174	11	problems	problem	NOUN
fis-1267	174	12	considered	consider	VERB
fis-1267	174	13	herein	herein	NOUN
fis-1267	174	14	may	may	AUX
fis-1267	174	15	be	be	AUX
fis-1267	174	16	written	write	VERB
fis-1267	174	17	as	as	ADP
fis-1267	174	18	0	0	NUM
fis-1267	174	19	1	1	NUM
fis-1267	174	20	0	0	NUM
fis-1267	174	21	max	max	PROPN
fis-1267	174	22	(	(	PUNCT
fis-1267	174	23	)	)	PUNCT
fis-1267	174	24	s.t	s.t	PROPN
fis-1267	174	25	.	.	PUNCT
fis-1267	175	1	[	[	PUNCT
fis-1267	175	2	]	]	X
fis-1267	175	3	0	0	NUM
fis-1267	175	4	0	0	NUM
fis-1267	175	5	f	f	PROPN
fis-1267	175	6	s	s	PROPN
fis-1267	175	7	d	d	X
fis-1267	175	8	sd	sd	ADP
fis-1267	175	9	y	y	PROPN
fis-1267	175	10	v	v	PROPN
fis-1267	175	11			ADP
fis-1267	175	12			ADP
fis-1267	175	13			X
fis-1267	175	14			X
fis-1267	175	15			PROPN
fis-1267	175	16			NUM
fis-1267	175	17			X
fis-1267	175	18			PUNCT
fis-1267	176	1			X
fis-1267	176	2			X
fis-1267	176	3			NUM
fis-1267	176	4			PROPN
fis-1267	176	5			ADJ
fis-1267	176	6			ADP
fis-1267	176	7			ADJ
fis-1267	176	8			PROPN
fis-1267	176	9	(	(	PUNCT
fis-1267	176	10	20	20	NUM
fis-1267	176	11	)	)	PUNCT
fis-1267	176	12	where	where	SCONJ
fis-1267	176	13	(	(	PUNCT
fis-1267	176	14	)	)	PUNCT
fis-1267	176	15	f	f	PROPN
fis-1267	176	16	s	s	NOUN
fis-1267	176	17	is	be	AUX
fis-1267	176	18	a	a	DET
fis-1267	176	19	scalar	scalar	ADV
fis-1267	176	20	-	-	PUNCT
fis-1267	176	21	valued	value	VERB
fis-1267	176	22	objective	objective	ADJ
fis-1267	176	23	function	function	NOUN
fis-1267	176	24	depending	depend	VERB
fis-1267	176	25	on	on	ADP
fis-1267	176	26	the	the	DET
fis-1267	176	27	eigenvalues	eigenvalue	NOUN
fis-1267	176	28	s	s	PROPN
fis-1267	176	29	of	of	ADP
fis-1267	176	30	the	the	DET
fis-1267	176	31	problem	problem	NOUN
fis-1267	176	32	,	,	PUNCT
fis-1267	176	33	(	(	PUNCT
fis-1267	176	34	20)2	20)2	NUM
fis-1267	176	35	is	be	AUX
fis-1267	176	36	the	the	DET
fis-1267	176	37	eigenproblem	eigenproblem	NOUN
fis-1267	176	38	that	that	PRON
fis-1267	176	39	enters	enter	VERB
fis-1267	176	40	the	the	DET
fis-1267	176	41	optimization	optimization	NOUN
fis-1267	176	42	procedure	procedure	NOUN
fis-1267	176	43	as	as	ADP
fis-1267	176	44	a	a	DET
fis-1267	176	45	constraint	constraint	NOUN
fis-1267	176	46	and	and	CCONJ
fis-1267	176	47	(	(	PUNCT
fis-1267	176	48	20)3	20)3	NUM
fis-1267	176	49	and	and	CCONJ
fis-1267	176	50	(	(	PUNCT
fis-1267	176	51	20)4	20)4	NUM
fis-1267	176	52	are	be	AUX
fis-1267	176	53	global	global	ADJ
fis-1267	176	54	and	and	CCONJ
fis-1267	176	55	local	local	ADJ
fis-1267	176	56	material	material	NOUN
fis-1267	176	57	density	density	NOUN
fis-1267	176	58	bounds	bound	NOUN
fis-1267	176	59	,	,	PUNCT
fis-1267	176	60	respectively	respectively	ADV
fis-1267	176	61	.	.	PUNCT
fis-1267	177	1	a	a	DET
fis-1267	177	2	classical	classical	ADJ
fis-1267	177	3	simp	simp	ADJ
fis-1267	177	4	model	model	NOUN
fis-1267	177	5	relating	relate	VERB
fis-1267	177	6	elastic	elastic	ADJ
fis-1267	177	7	and	and	CCONJ
fis-1267	177	8	viscoelastic	viscoelastic	NOUN
fis-1267	177	9	moduli	modulus	NOUN
fis-1267	177	10	to	to	ADP
fis-1267	177	11	the	the	DET
fis-1267	177	12	third	third	ADJ
fis-1267	177	13	power	power	NOUN
fis-1267	177	14	of	of	ADP
fis-1267	177	15	the	the	DET
fis-1267	177	16	material	material	NOUN
fis-1267	177	17	density	density	NOUN
fis-1267	177	18	is	be	AUX
fis-1267	177	19	considered	consider	VERB
fis-1267	177	20	whereas	whereas	SCONJ
fis-1267	177	21	a	a	DET
fis-1267	177	22	linear	linear	ADJ
fis-1267	177	23	dependence	dependence	NOUN
fis-1267	177	24	between	between	ADP
fis-1267	177	25	the	the	DET
fis-1267	177	26	mass	mass	NOUN
fis-1267	177	27	density	density	NOUN
fis-1267	177	28	and	and	CCONJ
fis-1267	177	29	the	the	DET
fis-1267	177	30	material	material	NOUN
fis-1267	177	31	density	density	NOUN
fis-1267	177	32	is	be	AUX
fis-1267	177	33	adopted	adopt	VERB
fis-1267	177	34	,	,	PUNCT
fis-1267	177	35	i.e.	i.e.	X
fis-1267	177	36	the	the	DET
fis-1267	177	37	two	two	NUM
fis-1267	177	38	densities	density	NOUN
fis-1267	177	39	coincide	coincide	VERB
fis-1267	177	40	as	as	ADP
fis-1267	177	41	a	a	DET
fis-1267	177	42	matter	matter	NOUN
fis-1267	177	43	of	of	ADP
fis-1267	177	44	fact	fact	NOUN
fis-1267	177	45	.	.	PUNCT
fis-1267	178	1	the	the	DET
fis-1267	178	2	solution	solution	NOUN
fis-1267	178	3	of	of	ADP
fis-1267	178	4	the	the	DET
fis-1267	178	5	topology	topology	NOUN
fis-1267	178	6	optimization	optimization	NOUN
fis-1267	178	7	problem	problem	NOUN
fis-1267	178	8	is	be	AUX
fis-1267	178	9	sought	seek	VERB
fis-1267	178	10	by	by	ADP
fis-1267	178	11	means	mean	NOUN
fis-1267	178	12	of	of	ADP
fis-1267	178	13	a	a	DET
fis-1267	178	14	sequential	sequential	ADJ
fis-1267	178	15	quadratic	quadratic	ADJ
fis-1267	178	16	programming	programming	NOUN
fis-1267	178	17	approach	approach	NOUN
fis-1267	178	18	that	that	PRON
fis-1267	178	19	has	have	AUX
fis-1267	178	20	been	be	AUX
fis-1267	178	21	implemented	implement	VERB
fis-1267	178	22	in	in	ADP
fis-1267	178	23	matlab	matlab	PROPN
fis-1267	178	24	in	in	ADP
fis-1267	178	25	a	a	DET
fis-1267	178	26	self	self	NOUN
fis-1267	178	27	-	-	PUNCT
fis-1267	178	28	consistent	consistent	ADJ
fis-1267	178	29	code	code	NOUN
fis-1267	178	30	that	that	PRON
fis-1267	178	31	include	include	VERB
fis-1267	178	32	the	the	DET
fis-1267	178	33	finite	finite	ADJ
fis-1267	178	34	-	-	ADJ
fis-1267	178	35	element	element	ADJ
fis-1267	178	36	analysis	analysis	NOUN
fis-1267	178	37	part	part	NOUN
fis-1267	178	38	as	as	ADV
fis-1267	178	39	well	well	ADV
fis-1267	178	40	.	.	PUNCT
fis-1267	179	1	numerical	numerical	ADJ
fis-1267	179	2	solution	solution	NOUN
fis-1267	179	3	of	of	ADP
fis-1267	179	4	the	the	DET
fis-1267	179	5	algebraic	algebraic	ADJ
fis-1267	179	6	-	-	PUNCT
fis-1267	179	7	differential	differential	NOUN
fis-1267	179	8	problem	problem	NOUN
fis-1267	179	9	the	the	DET
fis-1267	179	10	solution	solution	NOUN
fis-1267	179	11	of	of	ADP
fis-1267	179	12	the	the	DET
fis-1267	179	13	(	(	PUNCT
fis-1267	179	14	forced	forced	ADJ
fis-1267	179	15	)	)	PUNCT
fis-1267	179	16	algebraic	algebraic	ADJ
fis-1267	179	17	-	-	PUNCT
fis-1267	179	18	differential	differential	NOUN
fis-1267	179	19	equation	equation	NOUN
fis-1267	179	20	that	that	PRON
fis-1267	179	21	governs	govern	VERB
fis-1267	179	22	the	the	DET
fis-1267	179	23	dynamics	dynamic	NOUN
fis-1267	179	24	of	of	ADP
fis-1267	179	25	the	the	DET
fis-1267	179	26	viscoelastic	viscoelastic	ADJ
fis-1267	179	27	problem	problem	NOUN
fis-1267	179	28	1	1	NUM
fis-1267	179	29	0d	0d	X
fis-1267	179	30	y	y	PROPN
fis-1267	179	31	d	d	X
fis-1267	179	32	y	y	PROPN
fis-1267	179	33	f	f	PROPN
fis-1267	179	34			NOUN
fis-1267	179	35	(	(	PUNCT
fis-1267	179	36	22	22	NUM
fis-1267	179	37	)	)	PUNCT
fis-1267	179	38	is	be	AUX
fis-1267	179	39	far	far	ADV
fis-1267	179	40	from	from	ADP
fis-1267	179	41	being	be	AUX
fis-1267	179	42	trivial	trivial	ADJ
fis-1267	179	43	,	,	PUNCT
fis-1267	179	44	especially	especially	ADV
fis-1267	179	45	in	in	ADP
fis-1267	179	46	the	the	DET
fis-1267	179	47	2d	2d	NUM
fis-1267	179	48	case	case	NOUN
fis-1267	179	49	wherein	wherein	SCONJ
fis-1267	179	50	the	the	DET
fis-1267	179	51	algebraic	algebraic	ADJ
fis-1267	179	52	part	part	NOUN
fis-1267	179	53	of	of	ADP
fis-1267	179	54	the	the	DET
fis-1267	179	55	system	system	NOUN
fis-1267	179	56	has	have	VERB
fis-1267	179	57	considerable	considerable	ADJ
fis-1267	179	58	dimension	dimension	NOUN
fis-1267	179	59	because	because	SCONJ
fis-1267	179	60	of	of	ADP
fis-1267	179	61	the	the	DET
fis-1267	179	62	need	need	NOUN
fis-1267	179	63	to	to	PART
fis-1267	179	64	impose	impose	VERB
fis-1267	179	65	several	several	ADJ
fis-1267	179	66	cauchy	cauchy	ADJ
fis-1267	179	67	boundary	boundary	ADJ
fis-1267	179	68	conditions	condition	NOUN
fis-1267	179	69	on	on	ADP
fis-1267	179	70	all	all	DET
fis-1267	179	71	the	the	DET
fis-1267	179	72	unconstrained	unconstrained	ADJ
fis-1267	179	73	sides	side	NOUN
fis-1267	179	74	of	of	ADP
fis-1267	179	75	the	the	DET
fis-1267	179	76	domain	domain	NOUN
fis-1267	179	77	.	.	PUNCT
fis-1267	180	1	for	for	ADP
fis-1267	180	2	this	this	DET
fis-1267	180	3	paper	paper	NOUN
fis-1267	180	4	’s	’s	PART
fis-1267	180	5	sake	sake	NOUN
fis-1267	180	6	,	,	PUNCT
fis-1267	180	7	a	a	DET
fis-1267	180	8	second	second	ADJ
fis-1267	180	9	-	-	PUNCT
fis-1267	180	10	order	order	NOUN
fis-1267	180	11	accurate	accurate	ADJ
fis-1267	180	12	numerical	numerical	ADJ
fis-1267	180	13	approximation	approximation	NOUN
fis-1267	180	14	consisting	consist	VERB
fis-1267	180	15	of	of	ADP
fis-1267	180	16	a	a	DET
fis-1267	180	17	trapezoidal	trapezoidal	ADJ
fis-1267	180	18	rule	rule	NOUN
fis-1267	180	19	followed	follow	VERB
fis-1267	180	20	by	by	ADP
fis-1267	180	21	a	a	DET
fis-1267	180	22	2	2	NUM
fis-1267	180	23	-	-	PUNCT
fis-1267	180	24	step	step	NOUN
fis-1267	180	25	backward	backward	ADJ
fis-1267	180	26	difference	difference	NOUN
fis-1267	180	27	scheme	scheme	NOUN
fis-1267	180	28	,	,	PUNCT
fis-1267	180	29	as	as	SCONJ
fis-1267	180	30	suggested	suggest	VERB
fis-1267	180	31	in	in	ADP
fis-1267	180	32	[	[	X
fis-1267	180	33	4	4	NUM
fis-1267	180	34	]	]	PUNCT
fis-1267	180	35	,	,	PUNCT
fis-1267	180	36	has	have	AUX
fis-1267	180	37	been	be	AUX
fis-1267	180	38	adopted	adopt	VERB
fis-1267	180	39	:	:	PUNCT
fis-1267	180	40	1	1	NUM
fis-1267	180	41	1	1	NUM
fis-1267	180	42	1	1	NUM
fis-1267	180	43	2	2	NUM
fis-1267	180	44	2	2	NUM
fis-1267	180	45	2	2	NUM
fis-1267	180	46	1	1	NUM
fis-1267	180	47	0	0	NUM
fis-1267	180	48	11	11	NUM
fis-1267	180	49	1	1	NUM
fis-1267	180	50	1	1	NUM
fis-1267	180	51	12	12	NUM
fis-1267	180	52	1	1	NUM
fis-1267	180	53	0	0	NUM
fis-1267	180	54	1	1	NUM
fis-1267	180	55	2	2	NUM
fis-1267	180	56	2	2	NUM
fis-1267	180	57	3	3	NUM
fis-1267	180	58	1	1	NUM
fis-1267	180	59	2	2	NUM
fis-1267	180	60	2	2	NUM
fis-1267	180	61	2	2	NUM
fis-1267	180	62	2	2	NUM
fis-1267	180	63	n	n	CCONJ
fis-1267	180	64	n	n	CCONJ
fis-1267	180	65	nn	nn	PROPN
fis-1267	180	66	n	n	CCONJ
fis-1267	180	67	n	n	CCONJ
fis-1267	180	68	nn	nn	PROPN
fis-1267	180	69	n	n	CCONJ
fis-1267	180	70	n	n	CCONJ
fis-1267	180	71	n	n	NOUN
fis-1267	180	72	t	t	NOUN
fis-1267	181	1	d	d	X
fis-1267	181	2	y	y	PROPN
fis-1267	181	3	y	y	PROPN
fis-1267	181	4	f	f	PROPN
fis-1267	182	1	f	f	PROPN
fis-1267	183	1	d	d	X
fis-1267	183	2	y	y	PROPN
fis-1267	183	3	y	y	PROPN
fis-1267	183	4	t	t	PROPN
fis-1267	184	1	d	d	X
fis-1267	184	2	y	y	PROPN
fis-1267	184	3	y	y	PROPN
fis-1267	184	4	y	y	PROPN
fis-1267	184	5	d	d	X
fis-1267	184	6	y	y	PROPN
fis-1267	184	7	f	f	PROPN
fis-1267	184	8			PROPN
fis-1267	184	9			VERB
fis-1267	184	10			PUNCT
fis-1267	184	11			PROPN
fis-1267	184	12			PROPN
fis-1267	184	13			PUNCT
fis-1267	184	14			PUNCT
fis-1267	184	15			NOUN
fis-1267	184	16			PROPN
fis-1267	184	17			NOUN
fis-1267	184	18			NOUN
fis-1267	184	19			NOUN
fis-1267	184	20			VERB
fis-1267	184	21			PROPN
fis-1267	184	22			PROPN
fis-1267	184	23			PROPN
fis-1267	184	24			PROPN
fis-1267	184	25			PROPN
fis-1267	184	26			PROPN
fis-1267	184	27			PROPN
fis-1267	185	1			PROPN
fis-1267	186	1			PROPN
fis-1267	187	1			PROPN
fis-1267	188	1			PROPN
fis-1267	188	2			PROPN
fis-1267	188	3			PROPN
fis-1267	188	4			PROPN
fis-1267	188	5			NOUN
fis-1267	188	6			NOUN
fis-1267	188	7			NOUN
fis-1267	188	8			NOUN
fis-1267	188	9			PROPN
fis-1267	188	10			PROPN
fis-1267	188	11			PUNCT
fis-1267	188	12			ADJ
fis-1267	188	13			PUNCT
fis-1267	188	14			PROPN
fis-1267	188	15			PROPN
fis-1267	188	16			PROPN
fis-1267	188	17			NOUN
fis-1267	188	18			PROPN
fis-1267	188	19			NOUN
fis-1267	188	20	(	(	PUNCT
fis-1267	188	21	23	23	NUM
fis-1267	188	22	)	)	PUNCT
fis-1267	188	23	numerical	numerical	ADJ
fis-1267	188	24	studies	study	NOUN
fis-1267	188	25	analysis	analysis	NOUN
fis-1267	188	26	and	and	CCONJ
fis-1267	188	27	topology	topology	NOUN
fis-1267	188	28	optimization	optimization	NOUN
fis-1267	188	29	of	of	ADP
fis-1267	188	30	a	a	DET
fis-1267	188	31	clamped	clamp	VERB
fis-1267	188	32	/	/	SYM
fis-1267	188	33	simply	simply	ADV
fis-1267	188	34	-	-	PUNCT
fis-1267	188	35	supported	support	VERB
fis-1267	188	36	beam	beam	NOUN
fis-1267	188	37	clamped	clamp	VERB
fis-1267	188	38	/	/	SYM
fis-1267	188	39	simply	simply	ADV
fis-1267	188	40	-	-	PUNCT
fis-1267	188	41	supported	support	VERB
fis-1267	188	42	beam	beam	NOUN
fis-1267	188	43	of	of	ADP
fis-1267	188	44	length	length	NOUN
fis-1267	188	45	8l	8l	NOUN
fis-1267	188	46			PRON
fis-1267	188	47	is	be	AUX
fis-1267	188	48	investigated	investigate	VERB
fis-1267	188	49	first	first	ADV
fis-1267	188	50	.	.	PUNCT
fis-1267	189	1	the	the	DET
fis-1267	189	2	initial	initial	ADJ
fis-1267	189	3	design	design	NOUN
fis-1267	189	4	consists	consist	VERB
fis-1267	189	5	of	of	ADP
fis-1267	189	6	a	a	DET
fis-1267	189	7	uniform	uniform	ADJ
fis-1267	189	8	cross	cross	NOUN
fis-1267	189	9	-	-	NOUN
fis-1267	189	10	section	section	NOUN
fis-1267	189	11	and	and	CCONJ
fis-1267	189	12	density	density	NOUN
fis-1267	189	13	.	.	PUNCT
fis-1267	190	1	if	if	SCONJ
fis-1267	190	2	x	x	PRON
fis-1267	190	3	denotes	denote	VERB
fis-1267	190	4	the	the	DET
fis-1267	190	5	local	local	ADJ
fis-1267	190	6	density	density	NOUN
fis-1267	190	7	of	of	ADP
fis-1267	190	8	the	the	DET
fis-1267	190	9	beam	beam	NOUN
fis-1267	190	10	(	(	PUNCT
fis-1267	190	11	that	that	PRON
fis-1267	190	12	may	may	AUX
fis-1267	190	13	be	be	AUX
fis-1267	190	14	interpolated	interpolate	VERB
fis-1267	190	15	element	element	NOUN
fis-1267	190	16	wise	wise	ADJ
fis-1267	190	17	or	or	CCONJ
fis-1267	190	18	the	the	DET
fis-1267	190	19	node	node	ADJ
fis-1267	190	20	level	level	NOUN
fis-1267	190	21	)	)	PUNCT
fis-1267	190	22	,	,	PUNCT
fis-1267	190	23	the	the	DET
fis-1267	190	24	following	follow	VERB
fis-1267	190	25	simp	simp	ADJ
fis-1267	190	26	-	-	PUNCT
fis-1267	190	27	like	like	ADJ
fis-1267	190	28	interpolations	interpolation	NOUN
fis-1267	190	29	are	be	AUX
fis-1267	190	30	adopted	adopt	VERB
fis-1267	190	31	:	:	PUNCT
fis-1267	190	32	t	t	PROPN
fis-1267	190	33	a	a	DET
fis-1267	190	34	g.	g.	PROPN
fis-1267	190	35	maurelli	maurelli	PROPN
fis-1267	190	36	et	et	PROPN
fis-1267	190	37	alii	alii	PROPN
fis-1267	190	38	,	,	PUNCT
fis-1267	190	39	frattura	frattura	PROPN
fis-1267	190	40	ed	ed	PROPN
fis-1267	190	41	integrità	integrità	PROPN
fis-1267	190	42	strutturale	strutturale	PROPN
fis-1267	190	43	,	,	PUNCT
fis-1267	190	44	29	29	NUM
fis-1267	190	45	(	(	PUNCT
fis-1267	190	46	2014	2014	NUM
fis-1267	190	47	)	)	PUNCT
fis-1267	190	48	351	351	NUM
fis-1267	190	49	-	-	SYM
fis-1267	190	50	363	363	NUM
fis-1267	190	51	;	;	PUNCT
fis-1267	190	52	doi	doi	NOUN
fis-1267	190	53	:	:	PUNCT
fis-1267	190	54	10.3221	10.3221	NUM
fis-1267	190	55	/	/	SYM
fis-1267	190	56	igf	igf	PROPN
fis-1267	190	57	-	-	PUNCT
fis-1267	190	58	esis.29.31	esis.29.31	PROPN
fis-1267	190	59	357	357	NUM
fis-1267	190	60	0	0	NUM
fis-1267	190	61	0	0	NUM
fis-1267	190	62	0	0	NUM
fis-1267	190	63	0	0	NUM
fis-1267	190	64	min	min	PROPN
fis-1267	190	65	max	max	PROPN
fis-1267	190	66	min	min	PROPN
fis-1267	190	67	1	1	NUM
fis-1267	190	68	1	1	NUM
fis-1267	190	69	1	1	NUM
fis-1267	190	70	1	1	NUM
fis-1267	190	71	min	min	NOUN
fis-1267	190	72	max	max	PROPN
fis-1267	190	73	min	min	PROPN
fis-1267	190	74	0	0	NUM
fis-1267	190	75	0	0	NUM
fis-1267	190	76	0	0	NUM
fis-1267	190	77	0	0	NUM
fis-1267	190	78	min	min	PROPN
fis-1267	190	79	max	max	PROPN
fis-1267	190	80	min	min	PROPN
fis-1267	190	81	min	min	PROPN
fis-1267	190	82	max	max	PROPN
fis-1267	190	83	min	min	PROPN
fis-1267	190	84	(	(	PUNCT
fis-1267	190	85	)	)	PUNCT
fis-1267	190	86	(	(	PUNCT
fis-1267	190	87	)	)	PUNCT
fis-1267	190	88	(	(	PUNCT
fis-1267	190	89	(	(	PUNCT
fis-1267	190	90	)	)	PUNCT
fis-1267	190	91	(	(	PUNCT
fis-1267	190	92	)	)	PUNCT
fis-1267	190	93	)	)	PUNCT
fis-1267	191	1	(	(	PUNCT
fis-1267	191	2	)	)	PUNCT
fis-1267	191	3	(	(	PUNCT
fis-1267	191	4	)	)	PUNCT
fis-1267	191	5	(	(	PUNCT
fis-1267	191	6	(	(	PUNCT
fis-1267	191	7	)	)	PUNCT
fis-1267	191	8	(	(	PUNCT
fis-1267	191	9	)	)	PUNCT
fis-1267	191	10	)	)	PUNCT
fis-1267	192	1	(	(	PUNCT
fis-1267	192	2	)	)	PUNCT
fis-1267	192	3	(	(	PUNCT
fis-1267	192	4	)	)	PUNCT
fis-1267	192	5	(	(	PUNCT
fis-1267	192	6	(	(	PUNCT
fis-1267	192	7	)	)	PUNCT
fis-1267	192	8	(	(	PUNCT
fis-1267	192	9	)	)	PUNCT
fis-1267	192	10	)	)	PUNCT
fis-1267	193	1	(	(	PUNCT
fis-1267	193	2	)	)	PUNCT
fis-1267	193	3	(	(	PUNCT
fis-1267	193	4	)	)	PUNCT
fis-1267	193	5	(	(	PUNCT
fis-1267	193	6	(	(	PUNCT
fis-1267	193	7	)	)	PUNCT
fis-1267	193	8	(	(	PUNCT
fis-1267	193	9	)	)	PUNCT
fis-1267	193	10	)	)	PUNCT
fis-1267	194	1	p	p	X
fis-1267	194	2	e	e	X
fis-1267	194	3	e	e	X
fis-1267	194	4	e	e	X
fis-1267	194	5	e	e	X
fis-1267	194	6	p	p	PROPN
fis-1267	194	7	e	e	X
fis-1267	194	8	e	e	X
fis-1267	194	9	e	e	X
fis-1267	194	10	e	e	X
fis-1267	194	11	p	p	X
fis-1267	194	12	v	v	NUM
fis-1267	194	13	v	v	NUM
fis-1267	194	14	v	v	NOUN
fis-1267	194	15	v	v	INTJ
fis-1267	194	16	ej	ej	PROPN
fis-1267	194	17	x	x	X
fis-1267	194	18	ej	ej	PROPN
fis-1267	194	19	x	x	X
fis-1267	194	20	x	x	X
fis-1267	194	21	ej	ej	PROPN
fis-1267	194	22	x	x	SYM
fis-1267	194	23	ej	ej	PROPN
fis-1267	194	24	x	x	X
fis-1267	194	25	ej	ej	PROPN
fis-1267	194	26	x	x	X
fis-1267	194	27	ej	ej	NOUN
fis-1267	194	28	x	x	X
fis-1267	194	29	x	x	X
fis-1267	194	30	ej	ej	PROPN
fis-1267	194	31	x	x	SYM
fis-1267	194	32	ej	ej	PROPN
fis-1267	194	33	x	x	X
fis-1267	194	34	ej	ej	PROPN
fis-1267	194	35	x	x	X
fis-1267	194	36	ej	ej	NOUN
fis-1267	194	37	x	x	X
fis-1267	194	38	x	x	X
fis-1267	194	39	ej	ej	PROPN
fis-1267	194	40	x	x	X
fis-1267	194	41	ej	ej	NOUN
fis-1267	194	42	x	x	X
fis-1267	194	43	x	x	PUNCT
fis-1267	194	44	x	x	SYM
fis-1267	194	45	x	x	SYM
fis-1267	194	46	x	x	X
fis-1267	194	47	x	x	NOUN
fis-1267	194	48			ADP
fis-1267	194	49			ADP
fis-1267	194	50			ADP
fis-1267	194	51			PROPN
fis-1267	194	52			PUNCT
fis-1267	194	53			PROPN
fis-1267	194	54			PROPN
fis-1267	194	55			X
fis-1267	194	56			PROPN
fis-1267	194	57			PROPN
fis-1267	194	58			NOUN
fis-1267	194	59			PROPN
fis-1267	194	60			PROPN
fis-1267	194	61			NOUN
fis-1267	194	62			ADV
fis-1267	194	63			NOUN
fis-1267	194	64			PROPN
fis-1267	194	65			X
fis-1267	194	66			NOUN
fis-1267	194	67			PUNCT
fis-1267	194	68			NOUN
fis-1267	194	69			CCONJ
fis-1267	194	70	(	(	PUNCT
fis-1267	194	71	24	24	NUM
fis-1267	194	72	)	)	PUNCT
fis-1267	194	73	where	where	SCONJ
fis-1267	194	74	3p	3p	NUM
fis-1267	194	75			PROPN
fis-1267	194	76	and	and	CCONJ
fis-1267	194	77	the	the	DET
fis-1267	194	78	minimum	minimum	ADJ
fis-1267	194	79	and	and	CCONJ
fis-1267	194	80	maximum	maximum	ADJ
fis-1267	194	81	values	value	NOUN
fis-1267	194	82	adopted	adopt	VERB
fis-1267	194	83	in	in	ADP
fis-1267	194	84	the	the	DET
fis-1267	194	85	numerical	numerical	ADJ
fis-1267	194	86	simulations	simulation	NOUN
fis-1267	194	87	are	be	AUX
fis-1267	194	88	respectively	respectively	ADV
fis-1267	194	89	given	give	VERB
fis-1267	194	90	in	in	ADP
fis-1267	194	91	tab	tab	NOUN
fis-1267	194	92	.	.	PROPN
fis-1267	194	93	1	1	NUM
fis-1267	194	94	and	and	CCONJ
fis-1267	194	95	2	2	NUM
fis-1267	194	96	.	.	NOUN
fis-1267	194	97	0	0	NUM
fis-1267	195	1	min	min	PROPN
fis-1267	195	2	(	(	PUNCT
fis-1267	195	3	)	)	PUNCT
fis-1267	195	4	eej	eej	PROPN
fis-1267	195	5	x	x	PROPN
fis-1267	195	6	1	1	NUM
fis-1267	195	7	min	min	NOUN
fis-1267	195	8	(	(	PUNCT
fis-1267	195	9	)	)	PUNCT
fis-1267	195	10	eej	eej	PROPN
fis-1267	195	11	x	x	SYM
fis-1267	195	12	0	0	NUM
fis-1267	195	13	min	min	PROPN
fis-1267	195	14	(	(	PUNCT
fis-1267	195	15	)	)	PUNCT
fis-1267	195	16	vej	vej	PROPN
fis-1267	195	17	x	x	SYM
fis-1267	195	18	min	min	PROPN
fis-1267	195	19	(	(	PUNCT
fis-1267	195	20	)	)	PUNCT
fis-1267	195	21	x	x	NOUN
fis-1267	195	22	min	min	NOUN
fis-1267	195	23	values	value	NOUN
fis-1267	195	24	0.1	0.1	NUM
fis-1267	195	25	0.05	0.05	NUM
fis-1267	195	26	0.005	0.005	NUM
fis-1267	195	27	0.02	0.02	NUM
fis-1267	195	28	max	max	PROPN
fis-1267	195	29	values	value	NOUN
fis-1267	195	30	10	10	NUM
fis-1267	195	31	5	5	NUM
fis-1267	195	32	0.5	0.5	NUM
fis-1267	195	33	3	3	NUM
fis-1267	195	34	table	table	NOUN
fis-1267	195	35	1	1	NUM
fis-1267	195	36	:	:	PUNCT
fis-1267	195	37	simp	simp	ADJ
fis-1267	195	38	interpolation	interpolation	NOUN
fis-1267	195	39	:	:	PUNCT
fis-1267	195	40	minimum	minimum	ADJ
fis-1267	195	41	and	and	CCONJ
fis-1267	195	42	maximum	maximum	ADJ
fis-1267	195	43	values	value	NOUN
fis-1267	195	44	.	.	PUNCT
fis-1267	196	1	before	before	ADP
fis-1267	196	2	introducing	introduce	VERB
fis-1267	196	3	a	a	DET
fis-1267	196	4	few	few	ADJ
fis-1267	196	5	choices	choice	NOUN
fis-1267	196	6	for	for	ADP
fis-1267	196	7	(	(	PUNCT
fis-1267	196	8	)	)	PUNCT
fis-1267	196	9	f	f	PROPN
fis-1267	196	10	s	s	VERB
fis-1267	196	11	to	to	PART
fis-1267	196	12	be	be	AUX
fis-1267	196	13	tested	test	VERB
fis-1267	196	14	numerically	numerically	ADV
fis-1267	196	15	,	,	PUNCT
fis-1267	196	16	a	a	DET
fis-1267	196	17	few	few	ADJ
fis-1267	196	18	comments	comment	NOUN
fis-1267	196	19	on	on	ADP
fis-1267	196	20	the	the	DET
fis-1267	196	21	spectral	spectral	ADJ
fis-1267	196	22	properties	property	NOUN
fis-1267	196	23	of	of	ADP
fis-1267	196	24	the	the	DET
fis-1267	196	25	problem	problem	NOUN
fis-1267	196	26	at	at	ADP
fis-1267	196	27	hand	hand	NOUN
fis-1267	196	28	are	be	AUX
fis-1267	196	29	in	in	ADP
fis-1267	196	30	order	order	NOUN
fis-1267	196	31	.	.	PUNCT
fis-1267	197	1	notice	notice	NOUN
fis-1267	197	2	in	in	ADP
fis-1267	197	3	fact	fact	NOUN
fis-1267	197	4	that	that	SCONJ
fis-1267	197	5	neither	neither	PRON
fis-1267	197	6	is	be	VERB
fis-1267	197	7	the	the	DET
fis-1267	197	8	system	system	NOUN
fis-1267	197	9	classically	classically	ADV
fis-1267	197	10	damped	damp	VERB
fis-1267	197	11	,	,	PUNCT
fis-1267	197	12	nor	nor	CCONJ
fis-1267	197	13	enjoys	enjoy	VERB
fis-1267	197	14	the	the	DET
fis-1267	197	15	classical	classical	ADJ
fis-1267	197	16	structure	structure	NOUN
fis-1267	197	17	of	of	ADP
fis-1267	197	18	state	state	NOUN
fis-1267	197	19	-	-	PUNCT
fis-1267	197	20	space	space	NOUN
fis-1267	197	21	structural	structural	ADJ
fis-1267	197	22	dynamics	dynamic	NOUN
fis-1267	197	23	whose	whose	DET
fis-1267	197	24	eigenproperties	eigenpropertie	NOUN
fis-1267	197	25	are	be	AUX
fis-1267	197	26	well	well	ADV
fis-1267	197	27	known	know	VERB
fis-1267	197	28	.	.	PUNCT
fis-1267	198	1	reference	reference	NOUN
fis-1267	198	2	is	be	AUX
fis-1267	198	3	made	make	VERB
fis-1267	198	4	to	to	ADP
fis-1267	198	5	the	the	DET
fis-1267	198	6	doubly	doubly	ADV
fis-1267	198	7	-	-	PUNCT
fis-1267	198	8	clamped	clamp	VERB
fis-1267	198	9	beam	beam	NOUN
fis-1267	198	10	but	but	CCONJ
fis-1267	198	11	similar	similar	ADJ
fis-1267	198	12	considerations	consideration	NOUN
fis-1267	198	13	apply	apply	VERB
fis-1267	198	14	to	to	ADP
fis-1267	198	15	all	all	DET
fis-1267	198	16	constraint	constraint	NOUN
fis-1267	198	17	cases	case	NOUN
fis-1267	198	18	as	as	ADV
fis-1267	198	19	well	well	ADV
fis-1267	198	20	.	.	PUNCT
fis-1267	199	1	if	if	SCONJ
fis-1267	199	2	numel	numel	PROPN
fis-1267	199	3	denotes	denote	VERB
fis-1267	199	4	the	the	DET
fis-1267	199	5	number	number	NOUN
fis-1267	199	6	of	of	ADP
fis-1267	199	7	elements	element	NOUN
fis-1267	199	8	,	,	PUNCT
fis-1267	199	9	the	the	DET
fis-1267	199	10	total	total	ADJ
fis-1267	199	11	dimension	dimension	NOUN
fis-1267	199	12	n	n	PROPN
fis-1267	199	13	of	of	ADP
fis-1267	199	14	the	the	DET
fis-1267	199	15	problem	problem	NOUN
fis-1267	199	16	may	may	AUX
fis-1267	199	17	be	be	AUX
fis-1267	199	18	written	write	VERB
fis-1267	199	19	and	and	CCONJ
fis-1267	199	20	decomposed	decompose	VERB
fis-1267	199	21	as	as	ADP
fis-1267	199	22	velocity	velocity	NOUN
fis-1267	199	23	dofsmoment	dofsmoment	NOUN
fis-1267	199	24	dofs	dof	NOUN
fis-1267	199	25	viscoleastic	viscoleastic	ADJ
fis-1267	199	26	law	law	NOUN
fis-1267	199	27	dofs	dof	NOUN
fis-1267	199	28	2	2	NUM
fis-1267	199	29	(	(	PUNCT
fis-1267	199	30	1	1	NUM
fis-1267	199	31	)	)	SYM
fis-1267	199	32	2	2	NUM
fis-1267	199	33	2	2	NUM
fis-1267	199	34	(	(	PUNCT
fis-1267	199	35	1)n	1)n	PROPN
fis-1267	199	36	numel	numel	PROPN
fis-1267	199	37	numel	numel	PROPN
fis-1267	199	38	numel	numel	PROPN
fis-1267	199	39			PROPN
fis-1267	199	40			PROPN
fis-1267	199	41			VERB
fis-1267	199	42			PROPN
fis-1267	199	43			PROPN
fis-1267	199	44			PROPN
fis-1267	199	45			PROPN
fis-1267	199	46			PROPN
fis-1267	199	47			PROPN
fis-1267	199	48			PROPN
fis-1267	199	49	(	(	PUNCT
fis-1267	199	50	21	21	NUM
fis-1267	199	51	)	)	PUNCT
fis-1267	199	52	the	the	DET
fis-1267	199	53	2	2	NUM
fis-1267	199	54	numel	numel	NOUN
fis-1267	199	55	constitutive	constitutive	ADJ
fis-1267	199	56	laws	law	NOUN
fis-1267	199	57	(	(	PUNCT
fis-1267	199	58	two	two	NUM
fis-1267	199	59	devices	device	NOUN
fis-1267	199	60	in	in	ADP
fis-1267	199	61	parallel	parallel	NOUN
fis-1267	199	62	per	per	ADP
fis-1267	199	63	element	element	NOUN
fis-1267	199	64	)	)	PUNCT
fis-1267	199	65	bring	bring	VERB
fis-1267	199	66	into	into	ADP
fis-1267	199	67	the	the	DET
fis-1267	199	68	formulation	formulation	NOUN
fis-1267	199	69	an	an	DET
fis-1267	199	70	equal	equal	ADJ
fis-1267	199	71	number	number	NOUN
fis-1267	199	72	of	of	ADP
fis-1267	199	73	purely	purely	ADV
fis-1267	199	74	real	real	ADJ
fis-1267	199	75	eigenvalues	eigenvalue	NOUN
fis-1267	199	76	,	,	PUNCT
fis-1267	199	77	whereas	whereas	SCONJ
fis-1267	199	78	moments	moment	NOUN
fis-1267	199	79	and	and	CCONJ
fis-1267	199	80	velocities	velocity	NOUN
fis-1267	199	81	dofs	dof	NOUN
fis-1267	199	82	,	,	PUNCT
fis-1267	199	83	globally	globally	ADV
fis-1267	199	84	amounting	amount	VERB
fis-1267	199	85	to	to	ADP
fis-1267	199	86	4	4	NUM
fis-1267	199	87	2numel	2numel	NUM
fis-1267	199	88			ADV
fis-1267	199	89	,	,	PUNCT
fis-1267	199	90	are	be	AUX
fis-1267	199	91	associated	associate	VERB
fis-1267	199	92	to	to	ADP
fis-1267	199	93	2	2	NUM
fis-1267	199	94	numel	numel	NOUN
fis-1267	199	95	pairs	pair	NOUN
fis-1267	199	96	of	of	ADP
fis-1267	199	97	complex	complex	ADJ
fis-1267	199	98	and	and	CCONJ
fis-1267	199	99	conjugate	conjugate	ADJ
fis-1267	199	100	eigenvalues	eigenvalue	NOUN
fis-1267	199	101	and	and	CCONJ
fis-1267	199	102	2	2	NUM
fis-1267	199	103	null	null	NOUN
fis-1267	199	104	eigenvalues	eigenvalue	NOUN
fis-1267	199	105	(	(	PUNCT
fis-1267	199	106	that	that	PRON
fis-1267	199	107	become	become	VERB
fis-1267	199	108	3	3	NUM
fis-1267	199	109	in	in	ADP
fis-1267	199	110	the	the	DET
fis-1267	199	111	case	case	NOUN
fis-1267	199	112	of	of	ADP
fis-1267	199	113	a	a	DET
fis-1267	199	114	clampedsupported	clampedsupporte	VERB
fis-1267	199	115	beam	beam	NOUN
fis-1267	199	116	)	)	PUNCT
fis-1267	199	117	.	.	PUNCT
fis-1267	200	1	as	as	ADP
fis-1267	200	2	to	to	ADP
fis-1267	200	3	the	the	DET
fis-1267	200	4	objective	objective	ADJ
fis-1267	200	5	function	function	NOUN
fis-1267	200	6	(	(	PUNCT
fis-1267	200	7	)	)	PUNCT
fis-1267	200	8	f	f	PROPN
fis-1267	200	9	s	s	X
fis-1267	200	10	in	in	ADP
fis-1267	200	11	eq	eq	ADP
fis-1267	200	12	.	.	PUNCT
fis-1267	200	13	(	(	PUNCT
fis-1267	200	14	20	20	NUM
fis-1267	200	15	)	)	PUNCT
fis-1267	200	16	,	,	PUNCT
fis-1267	200	17	the	the	DET
fis-1267	200	18	following	follow	VERB
fis-1267	200	19	three	three	NUM
fis-1267	200	20	cases	case	NOUN
fis-1267	200	21	are	be	AUX
fis-1267	200	22	considered	consider	VERB
fis-1267	200	23	:	:	PUNCT
fis-1267	200	24			ADJ
fis-1267	200	25			ADP
fis-1267	200	26			ADJ
fis-1267	200	27			ADP
fis-1267	200	28			NOUN
fis-1267	201	1			NOUN
fis-1267	201	2			PROPN
fis-1267	201	3	1	1	NUM
fis-1267	201	4	1	1	NUM
fis-1267	201	5	1	1	NUM
fis-1267	201	6	2	2	NUM
fis-1267	201	7	2	2	NUM
fis-1267	201	8	2	2	NUM
fis-1267	201	9	2	2	NUM
fis-1267	201	10	1	1	NUM
fis-1267	201	11	2	2	NUM
fis-1267	201	12	2	2	NUM
fis-1267	201	13	3	3	NUM
fis-1267	201	14	3	3	NUM
fis-1267	201	15	3	3	NUM
fis-1267	201	16	2	2	NUM
fis-1267	201	17	2	2	NUM
fis-1267	201	18	1	1	NUM
fis-1267	201	19	(	(	PUNCT
fis-1267	201	20	)	)	PUNCT
fis-1267	201	21	i	i	PRON
fis-1267	201	22	m	m	VERB
fis-1267	201	23	(	(	PUNCT
fis-1267	201	24	)	)	PUNCT
fis-1267	201	25	(	(	PUNCT
fis-1267	201	26	)	)	PUNCT
fis-1267	201	27	i	i	PRON
fis-1267	201	28	m	m	VERB
fis-1267	201	29	(	(	PUNCT
fis-1267	201	30	)	)	PUNCT
fis-1267	201	31	im(s	im(s	PROPN
fis-1267	201	32	)	)	PUNCT
fis-1267	202	1	(	(	PUNCT
fis-1267	202	2	)	)	PUNCT
fis-1267	202	3	i	i	PRON
fis-1267	202	4	m	m	VERB
fis-1267	202	5	(	(	PUNCT
fis-1267	202	6	)	)	PUNCT
fis-1267	202	7	im(s	im(s	PROPN
fis-1267	202	8	)	)	PUNCT
fis-1267	203	1	i	i	PRON
fis-1267	203	2	m	m	VERB
fis-1267	203	3	(	(	PUNCT
fis-1267	203	4	)	)	PUNCT
fis-1267	203	5	im(s	im(s	PROPN
fis-1267	203	6	)	)	PUNCT
fis-1267	204	1	f	f	PROPN
fis-1267	205	1	s	s	X
fis-1267	205	2	s	s	X
fis-1267	205	3	f	f	X
fis-1267	205	4	s	s	X
fis-1267	205	5	s	s	X
fis-1267	205	6	f	f	X
fis-1267	205	7	s	s	X
fis-1267	205	8	s	s	X
fis-1267	205	9	s	s	X
fis-1267	205	10			NOUN
fis-1267	205	11			X
fis-1267	205	12			X
fis-1267	205	13			ADP
fis-1267	205	14			NUM
fis-1267	205	15			NUM
fis-1267	206	1			NUM
fis-1267	206	2			NOUN
fis-1267	206	3			NUM
fis-1267	206	4			PROPN
fis-1267	206	5			PROPN
fis-1267	206	6			ADP
fis-1267	206	7			PROPN
fis-1267	206	8	(	(	PUNCT
fis-1267	206	9	25	25	NUM
fis-1267	206	10	)	)	PUNCT
fis-1267	206	11	where	where	SCONJ
fis-1267	206	12	4	4	NUM
fis-1267	206	13	6	6	NUM
fis-1267	206	14	3	3	NUM
fis-1267	206	15	1	1	NUM
fis-1267	206	16	2	2	NUM
fis-1267	206	17	310	310	NUM
fis-1267	206	18	,	,	PUNCT
fis-1267	206	19	10	10	NUM
fis-1267	206	20	,	,	PUNCT
fis-1267	206	21	10	10	NUM
fis-1267	206	22			NOUN
fis-1267	206	23			VERB
fis-1267	207	1			NOUN
fis-1267	207	2			PROPN
fis-1267	207	3	.	.	PUNCT
fis-1267	208	1	the	the	DET
fis-1267	208	2	first	first	ADJ
fis-1267	208	3	objective	objective	NOUN
fis-1267	208	4	is	be	AUX
fis-1267	208	5	very	very	ADV
fis-1267	208	6	classical	classical	ADJ
fis-1267	208	7	and	and	CCONJ
fis-1267	208	8	aims	aim	VERB
fis-1267	208	9	to	to	ADP
fis-1267	208	10	the	the	DET
fis-1267	208	11	maximization	maximization	NOUN
fis-1267	208	12	(	(	PUNCT
fis-1267	208	13	of	of	ADP
fis-1267	208	14	the	the	DET
fis-1267	208	15	imaginary	imaginary	ADJ
fis-1267	208	16	part	part	NOUN
fis-1267	208	17	of	of	ADP
fis-1267	208	18	)	)	PUNCT
fis-1267	208	19	the	the	DET
fis-1267	208	20	lowest	low	ADJ
fis-1267	208	21	eigenvalue	eigenvalue	NOUN
fis-1267	208	22	.	.	PUNCT
fis-1267	209	1	the	the	DET
fis-1267	209	2	second	second	ADJ
fis-1267	209	3	objective	objective	NOUN
fis-1267	209	4	aims	aim	VERB
fis-1267	209	5	to	to	PART
fis-1267	209	6	maximize	maximize	VERB
fis-1267	209	7	the	the	DET
fis-1267	209	8	spectral	spectral	ADJ
fis-1267	209	9	band	band	NOUN
fis-1267	209	10	between	between	ADP
fis-1267	209	11	the	the	DET
fis-1267	209	12	first	first	ADJ
fis-1267	209	13	two	two	NUM
fis-1267	209	14	adjacent	adjacent	ADJ
fis-1267	209	15	eigenvalues	eigenvalue	NOUN
fis-1267	209	16	to	to	PART
fis-1267	209	17	avoid	avoid	VERB
fis-1267	209	18	dangerous	dangerous	ADJ
fis-1267	209	19	mode	mode	NOUN
fis-1267	209	20	superpositions	superposition	NOUN
fis-1267	209	21	.	.	PUNCT
fis-1267	210	1	the	the	DET
fis-1267	210	2	third	third	ADJ
fis-1267	210	3	function	function	NOUN
fis-1267	210	4	follows	follow	VERB
fis-1267	210	5	the	the	DET
fis-1267	210	6	same	same	ADJ
fis-1267	210	7	streamline	streamline	NOUN
fis-1267	210	8	as	as	ADP
fis-1267	210	9	the	the	DET
fis-1267	210	10	second	second	NOUN
fis-1267	210	11	but	but	CCONJ
fis-1267	210	12	involves	involve	VERB
fis-1267	210	13	the	the	DET
fis-1267	210	14	third	third	ADJ
fis-1267	210	15	eigenvalue	eigenvalue	NOUN
fis-1267	210	16	as	as	ADV
fis-1267	210	17	well	well	ADV
fis-1267	210	18	.	.	PUNCT
fis-1267	211	1	for	for	ADP
fis-1267	211	2	the	the	DET
fis-1267	211	3	three	three	NUM
fis-1267	211	4	optimal	optimal	ADJ
fis-1267	211	5	design	design	NOUN
fis-1267	211	6	problems	problem	NOUN
fis-1267	211	7	with	with	ADP
fis-1267	211	8	objectives	objective	NOUN
fis-1267	211	9	1	1	NUM
fis-1267	211	10	2	2	NUM
fis-1267	211	11	3	3	NUM
fis-1267	211	12	,	,	PUNCT
fis-1267	211	13	,	,	PUNCT
fis-1267	211	14	f	f	PROPN
fis-1267	211	15	f	f	PROPN
fis-1267	211	16	f	f	PROPN
fis-1267	211	17	,	,	PUNCT
fis-1267	211	18	fig	fig	NOUN
fis-1267	211	19	.	.	PUNCT
fis-1267	212	1	3	3	NUM
fis-1267	212	2	,	,	PUNCT
fis-1267	212	3	4	4	NUM
fis-1267	212	4	and	and	CCONJ
fis-1267	212	5	5	5	NUM
fis-1267	212	6	respectively	respectively	ADV
fis-1267	212	7	present	present	VERB
fis-1267	212	8	the	the	DET
fis-1267	212	9	convergence	convergence	NOUN
fis-1267	212	10	path	path	NOUN
fis-1267	212	11	(	(	PUNCT
fis-1267	212	12	on	on	ADP
fis-1267	212	13	the	the	DET
fis-1267	212	14	left	left	NOUN
fis-1267	212	15	)	)	PUNCT
fis-1267	212	16	and	and	CCONJ
fis-1267	212	17	the	the	DET
fis-1267	212	18	optimal	optimal	ADJ
fis-1267	212	19	density	density	NOUN
fis-1267	212	20	distribution	distribution	NOUN
fis-1267	212	21	along	along	ADP
fis-1267	212	22	the	the	DET
fis-1267	212	23	beam	beam	NOUN
fis-1267	212	24	axis	axis	NOUN
fis-1267	212	25	(	(	PUNCT
fis-1267	212	26	on	on	ADP
fis-1267	212	27	the	the	DET
fis-1267	212	28	right	right	NOUN
fis-1267	212	29	)	)	PUNCT
fis-1267	212	30	.	.	PUNCT
fis-1267	213	1	fig	fig	NOUN
fis-1267	213	2	.	.	PUNCT
fis-1267	214	1	6	6	NUM
fis-1267	214	2	and	and	CCONJ
fis-1267	214	3	7	7	NUM
fis-1267	214	4	show	show	VERB
fis-1267	214	5	the	the	DET
fis-1267	214	6	first	first	ADJ
fis-1267	214	7	three	three	NUM
fis-1267	214	8	velocity	velocity	NOUN
fis-1267	214	9	and	and	CCONJ
fis-1267	214	10	moment	moment	NOUN
fis-1267	214	11	eigenmodes	eigenmode	NOUN
fis-1267	214	12	,	,	PUNCT
fis-1267	214	13	respectively	respectively	ADV
fis-1267	214	14	,	,	PUNCT
fis-1267	214	15	and	and	CCONJ
fis-1267	214	16	demonstrate	demonstrate	VERB
fis-1267	214	17	the	the	DET
fis-1267	214	18	strict	strict	ADJ
fis-1267	214	19	correlation	correlation	NOUN
fis-1267	214	20	between	between	ADP
fis-1267	214	21	the	the	DET
fis-1267	214	22	optimal	optimal	ADJ
fis-1267	214	23	density	density	NOUN
fis-1267	214	24	at	at	ADP
fis-1267	214	25	convergence	convergence	NOUN
fis-1267	214	26	and	and	CCONJ
fis-1267	214	27	the	the	DET
fis-1267	214	28	spectral	spectral	ADJ
fis-1267	214	29	properties	property	NOUN
fis-1267	214	30	of	of	ADP
fis-1267	214	31	the	the	DET
fis-1267	214	32	beam	beam	NOUN
fis-1267	214	33	.	.	PUNCT
fis-1267	215	1	tab	tab	NOUN
fis-1267	215	2	.	.	PUNCT
fis-1267	216	1	3	3	NUM
fis-1267	216	2	shows	show	VERB
fis-1267	216	3	a	a	DET
fis-1267	216	4	few	few	ADJ
fis-1267	216	5	values	value	NOUN
fis-1267	216	6	for	for	ADP
fis-1267	216	7	the	the	DET
fis-1267	216	8	three	three	NUM
fis-1267	216	9	design	design	NOUN
fis-1267	216	10	cases	case	NOUN
fis-1267	216	11	.	.	PUNCT
fis-1267	217	1	the	the	DET
fis-1267	217	2	three	three	NUM
fis-1267	217	3	objective	objective	ADJ
fis-1267	217	4	functions	function	NOUN
fis-1267	217	5	1	1	NUM
fis-1267	217	6	2	2	NUM
fis-1267	217	7	3	3	NUM
fis-1267	217	8	,	,	PUNCT
fis-1267	217	9	,	,	PUNCT
fis-1267	217	10	f	f	PROPN
fis-1267	217	11	f	f	PROPN
fis-1267	217	12	f	f	PROPN
fis-1267	217	13	are	be	AUX
fis-1267	217	14	respectively	respectively	ADV
fis-1267	217	15	dominated	dominate	VERB
fis-1267	217	16	by	by	ADP
fis-1267	217	17	the	the	DET
fis-1267	217	18	first	first	ADJ
fis-1267	217	19	,	,	PUNCT
fis-1267	217	20	second	second	ADJ
fis-1267	217	21	and	and	CCONJ
fis-1267	217	22	third	third	ADJ
fis-1267	217	23	eigenmode	eigenmode	NOUN
fis-1267	217	24	and	and	CCONJ
fis-1267	217	25	therefore	therefore	ADV
fis-1267	217	26	each	each	DET
fis-1267	217	27	design	design	NOUN
fis-1267	217	28	maximizes	maximize	VERB
fis-1267	217	29	its	its	PRON
fis-1267	217	30	own	own	ADJ
fis-1267	217	31	objective	objective	NOUN
fis-1267	217	32	(	(	PUNCT
fis-1267	217	33	boldface	boldface	NOUN
fis-1267	217	34	values	value	NOUN
fis-1267	217	35	on	on	ADP
fis-1267	217	36	the	the	DET
fis-1267	217	37	diagonal	diagonal	ADJ
fis-1267	217	38	in	in	ADP
fis-1267	217	39	tab	tab	NOUN
fis-1267	217	40	.	.	PUNCT
fis-1267	218	1	3	3	NUM
fis-1267	218	2	)	)	PUNCT
fis-1267	218	3	but	but	CCONJ
fis-1267	218	4	,	,	PUNCT
fis-1267	218	5	with	with	ADP
fis-1267	218	6	no	no	DET
fis-1267	218	7	surprise	surprise	NOUN
fis-1267	218	8	,	,	PUNCT
fis-1267	218	9	happen	happen	VERB
fis-1267	218	10	to	to	PART
fis-1267	218	11	lead	lead	VERB
fis-1267	218	12	to	to	ADP
fis-1267	218	13	small	small	ADJ
fis-1267	218	14	values	value	NOUN
fis-1267	218	15	when	when	SCONJ
fis-1267	218	16	tested	test	VERB
fis-1267	218	17	on	on	ADP
fis-1267	218	18	a	a	DET
fis-1267	218	19	different	different	ADJ
fis-1267	218	20	objective	objective	NOUN
fis-1267	218	21	than	than	ADP
fis-1267	218	22	the	the	DET
fis-1267	218	23	one	one	NOUN
fis-1267	218	24	used	use	VERB
fis-1267	218	25	in	in	ADP
fis-1267	218	26	the	the	DET
fis-1267	218	27	optimization	optimization	NOUN
fis-1267	218	28	(	(	PUNCT
fis-1267	218	29	first	first	ADV
fis-1267	218	30	three	three	NUM
fis-1267	218	31	columns	column	NOUN
fis-1267	218	32	in	in	ADP
fis-1267	218	33	tab	tab	NOUN
fis-1267	218	34	.	.	PUNCT
fis-1267	219	1	3	3	NUM
fis-1267	219	2	)	)	PUNCT
fis-1267	219	3	.	.	PUNCT
fis-1267	220	1	g.	g.	PROPN
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fis-1267	220	5	,	,	PUNCT
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fis-1267	220	9	strutturale	strutturale	PROPN
fis-1267	220	10	,	,	PUNCT
fis-1267	220	11	29	29	NUM
fis-1267	220	12	(	(	PUNCT
fis-1267	220	13	2014	2014	NUM
fis-1267	220	14	)	)	PUNCT
fis-1267	220	15	351	351	NUM
fis-1267	220	16	-	-	SYM
fis-1267	220	17	363	363	NUM
fis-1267	220	18	;	;	PUNCT
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fis-1267	220	20	:	:	PUNCT
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fis-1267	220	22	/	/	SYM
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fis-1267	220	24	-	-	PUNCT
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fis-1267	220	29	400	400	NUM
fis-1267	220	30	600	600	NUM
fis-1267	220	31	800	800	NUM
fis-1267	220	32	1000	1000	NUM
fis-1267	220	33	1200	1200	NUM
fis-1267	220	34	1400	1400	NUM
fis-1267	220	35	1600	1600	NUM
fis-1267	220	36	1800	1800	NUM
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fis-1267	220	40	−140	−140	PROPN
fis-1267	220	41	−120	−120	ADV
fis-1267	220	42	−100	−100	ADP
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fis-1267	220	44	−60	−60	ADJ
fis-1267	220	45	−40	−40	NOUN
fis-1267	221	1	−20	−20	NOUN
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fis-1267	221	3	of	of	ADP
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fis-1267	221	5	o	o	NOUN
fis-1267	221	6	bj	bj	ADP
fis-1267	221	7	ec	ec	PROPN
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fis-1267	221	9	e	e	PROPN
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fis-1267	221	16	1(s	1(s	NUM
fis-1267	221	17	)	)	PUNCT
fis-1267	221	18	0	0	NUM
fis-1267	221	19	1	1	NUM
fis-1267	221	20	2	2	NUM
fis-1267	221	21	3	3	NUM
fis-1267	221	22	4	4	NUM
fis-1267	221	23	5	5	NUM
fis-1267	221	24	6	6	NUM
fis-1267	221	25	7	7	NUM
fis-1267	221	26	8	8	NUM
fis-1267	221	27	0	0	NUM
fis-1267	221	28	0.2	0.2	NUM
fis-1267	221	29	0.4	0.4	NUM
fis-1267	221	30	0.6	0.6	NUM
fis-1267	221	31	0.8	0.8	NUM
fis-1267	221	32	1	1	NUM
fis-1267	221	33	1.2	1.2	NUM
fis-1267	221	34	1.4	1.4	NUM
fis-1267	221	35	1.6	1.6	NUM
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fis-1267	222	1	i	i	NOUN
fis-1267	222	2	m	m	VERB
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fis-1267	222	4	m	m	PROPN
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fis-1267	222	8	en	en	ADP
fis-1267	222	9	si	si	X
fis-1267	222	10	ty	ty	PRON
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fis-1267	222	12	3	3	NUM
fis-1267	222	13	:	:	PUNCT
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fis-1267	222	16	1	1	NUM
fis-1267	222	17	:	:	PUNCT
fis-1267	222	18	path	path	NOUN
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fis-1267	222	24	.	.	PUNCT
fis-1267	223	1	0	0	NUM
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fis-1267	224	2	1000	1000	NUM
fis-1267	224	3	1500	1500	NUM
fis-1267	224	4	2000	2000	NUM
fis-1267	224	5	2500	2500	NUM
fis-1267	224	6	−2500	−2500	NOUN
fis-1267	224	7	−2000	−2000	PROPN
fis-1267	224	8	−1500	−1500	NOUN
fis-1267	224	9	−1000	−1000	PROPN
fis-1267	224	10	−500	−500	NOUN
fis-1267	224	11	0	0	NUM
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fis-1267	224	13	of	of	ADP
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fis-1267	224	15	o	o	NOUN
fis-1267	224	16	bj	bj	ADP
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fis-1267	224	19	e	e	PROPN
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fis-1267	224	25	f	f	PROPN
fis-1267	224	26	2(s	2(s	NUM
fis-1267	224	27	)	)	PUNCT
fis-1267	224	28	0	0	NUM
fis-1267	224	29	1	1	NUM
fis-1267	224	30	2	2	NUM
fis-1267	224	31	3	3	NUM
fis-1267	224	32	4	4	NUM
fis-1267	224	33	5	5	NUM
fis-1267	224	34	6	6	NUM
fis-1267	224	35	7	7	NUM
fis-1267	224	36	8	8	NUM
fis-1267	224	37	0	0	NUM
fis-1267	224	38	0.2	0.2	NUM
fis-1267	224	39	0.4	0.4	NUM
fis-1267	224	40	0.6	0.6	NUM
fis-1267	224	41	0.8	0.8	NUM
fis-1267	224	42	1	1	NUM
fis-1267	224	43	1.2	1.2	NUM
fis-1267	224	44	1.4	1.4	NUM
fis-1267	224	45	beam	beam	NOUN
fis-1267	224	46	axis	axis	NOUN
fis-1267	224	47	o	o	NOUN
fis-1267	224	48	pt	pt	NOUN
fis-1267	225	1	i	i	NOUN
fis-1267	225	2	m	m	VERB
fis-1267	225	3	al	al	PROPN
fis-1267	225	4	m	m	PROPN
fis-1267	225	5	as	as	ADP
fis-1267	225	6	s	s	PROPN
fis-1267	225	7	d	d	X
fis-1267	225	8	en	en	ADP
fis-1267	225	9	si	si	X
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fis-1267	225	12	4	4	NUM
fis-1267	225	13	:	:	PUNCT
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fis-1267	225	16	2	2	NUM
fis-1267	225	17	:	:	PUNCT
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fis-1267	225	24	.	.	PUNCT
fis-1267	226	1	0	0	NUM
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fis-1267	227	2	1000	1000	NUM
fis-1267	227	3	1500	1500	NUM
fis-1267	227	4	2000	2000	NUM
fis-1267	227	5	2500	2500	NUM
fis-1267	227	6	−7000	−7000	ADJ
fis-1267	227	7	−6000	−6000	PROPN
fis-1267	227	8	−5000	−5000	PROPN
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fis-1267	227	10	−3000	−3000	PROPN
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fis-1267	227	12	−1000	−1000	NOUN
fis-1267	227	13	0	0	NUM
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fis-1267	227	15	of	of	ADP
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fis-1267	227	17	o	o	NOUN
fis-1267	227	18	bj	bj	ADP
fis-1267	227	19	ec	ec	PROPN
fis-1267	227	20	tiv	tiv	PROPN
fis-1267	227	21	e	e	PROPN
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fis-1267	227	29	)	)	PUNCT
fis-1267	227	30	0	0	NUM
fis-1267	228	1	1	1	NUM
fis-1267	228	2	2	2	NUM
fis-1267	228	3	3	3	NUM
fis-1267	228	4	4	4	NUM
fis-1267	228	5	5	5	NUM
fis-1267	228	6	6	6	NUM
fis-1267	228	7	7	7	NUM
fis-1267	228	8	8	8	NUM
fis-1267	228	9	0	0	NUM
fis-1267	228	10	0.1	0.1	NUM
fis-1267	228	11	0.2	0.2	NUM
fis-1267	228	12	0.3	0.3	NUM
fis-1267	228	13	0.4	0.4	NUM
fis-1267	228	14	0.5	0.5	NUM
fis-1267	228	15	0.6	0.6	NUM
fis-1267	228	16	0.7	0.7	NUM
fis-1267	228	17	0.8	0.8	NUM
fis-1267	228	18	0.9	0.9	NUM
fis-1267	228	19	1	1	NUM
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fis-1267	228	21	axis	axis	NOUN
fis-1267	228	22	o	o	NOUN
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fis-1267	229	2	m	m	VERB
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fis-1267	229	9	si	si	X
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fis-1267	229	12	5	5	NUM
fis-1267	229	13	:	:	PUNCT
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fis-1267	229	17	:	:	PUNCT
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fis-1267	229	24	.	.	PUNCT
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fis-1267	230	14	)	)	PUNCT
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fis-1267	230	16	-	-	SYM
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fis-1267	230	20	:	:	PUNCT
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fis-1267	230	24	-	-	PUNCT
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fis-1267	230	30	3	3	NUM
fis-1267	230	31	4	4	NUM
fis-1267	230	32	5	5	NUM
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fis-1267	230	42	1	1	NUM
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fis-1267	230	65	5	5	NUM
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fis-1267	230	67	7	7	NUM
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fis-1267	230	75	1	1	NUM
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fis-1267	230	94	1	1	NUM
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fis-1267	230	96	3	3	NUM
fis-1267	230	97	4	4	NUM
fis-1267	230	98	5	5	NUM
fis-1267	230	99	6	6	NUM
fis-1267	230	100	7	7	NUM
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fis-1267	232	6	5	5	NUM
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fis-1267	233	29	5	5	NUM
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fis-1267	233	32	8	8	NUM
fis-1267	233	33	−12	−12	NUM
fis-1267	233	34	−10	−10	NOUN
fis-1267	233	35	−8	−8	X
fis-1267	234	1	−6	−6	INTJ
fis-1267	234	2	−4	−4	X
fis-1267	235	1	−2	−2	NOUN
fis-1267	235	2	0	0	NUM
fis-1267	235	3	2	2	NUM
fis-1267	235	4	x	x	SYM
fis-1267	235	5	10	10	NUM
fis-1267	235	6	−5	−5	NOUN
fis-1267	235	7	beam	beam	NOUN
fis-1267	235	8	axis	axis	PROPN
fis-1267	235	9	b	b	PROPN
fis-1267	235	10	en	en	X
fis-1267	235	11	di	di	X
fis-1267	235	12	ng	ng	PROPN
fis-1267	235	13	m	m	VERB
fis-1267	235	14	om	om	PROPN
fis-1267	235	15	en	en	ADP
fis-1267	235	16	t	t	PROPN
fis-1267	235	17	e	e	X
fis-1267	235	18	ig	ig	PROPN
fis-1267	235	19	en	en	PROPN
fis-1267	235	20	m	m	PROPN
fis-1267	235	21	od	od	PROPN
fis-1267	235	22	e	e	PROPN
fis-1267	235	23	ii	ii	PROPN
fis-1267	235	24	0	0	NUM
fis-1267	235	25	1	1	NUM
fis-1267	235	26	2	2	NUM
fis-1267	235	27	3	3	NUM
fis-1267	235	28	4	4	NUM
fis-1267	235	29	5	5	NUM
fis-1267	235	30	6	6	NUM
fis-1267	235	31	7	7	NUM
fis-1267	235	32	8	8	NUM
fis-1267	235	33	−6	−6	NOUN
fis-1267	235	34	−4	−4	NOUN
fis-1267	235	35	−2	−2	NOUN
fis-1267	235	36	0	0	NUM
fis-1267	235	37	2	2	NUM
fis-1267	235	38	4	4	NUM
fis-1267	235	39	6	6	NUM
fis-1267	235	40	8	8	NUM
fis-1267	235	41	10	10	NUM
fis-1267	235	42	x	x	SYM
fis-1267	235	43	10	10	NUM
fis-1267	235	44	−5	−5	NOUN
fis-1267	235	45	beam	beam	NOUN
fis-1267	235	46	axis	axis	PROPN
fis-1267	235	47	b	b	PROPN
fis-1267	235	48	en	en	X
fis-1267	235	49	di	di	X
fis-1267	235	50	ng	ng	PROPN
fis-1267	235	51	m	m	VERB
fis-1267	235	52	om	om	PROPN
fis-1267	235	53	en	en	ADP
fis-1267	235	54	t	t	PROPN
fis-1267	235	55	e	e	X
fis-1267	235	56	ig	ig	PROPN
fis-1267	235	57	en	en	PROPN
fis-1267	235	58	m	m	PROPN
fis-1267	235	59	od	od	PROPN
fis-1267	235	60	e	e	NOUN
fis-1267	235	61	iii	iii	NUM
fis-1267	235	62	figure	figure	NOUN
fis-1267	235	63	7	7	NUM
fis-1267	235	64	:	:	PUNCT
fis-1267	235	65	first	first	ADJ
fis-1267	235	66	three	three	NUM
fis-1267	235	67	moment	moment	NOUN
fis-1267	235	68	eigenmodes	eigenmode	NOUN
fis-1267	235	69	.	.	PUNCT
fis-1267	236	1	design	design	VERB
fis-1267	236	2	objective	objective	ADJ
fis-1267	236	3	1	1	NUM
fis-1267	236	4	(	(	PUNCT
fis-1267	236	5	)	)	PUNCT
fis-1267	236	6	f	f	PROPN
fis-1267	236	7	s	s	PROPN
fis-1267	236	8	2	2	NUM
fis-1267	236	9	(	(	PUNCT
fis-1267	236	10	)	)	PUNCT
fis-1267	236	11	f	f	PROPN
fis-1267	236	12	s	s	PROPN
fis-1267	236	13	3	3	NUM
fis-1267	236	14	(	(	PUNCT
fis-1267	236	15	)	)	PUNCT
fis-1267	236	16	f	f	PROPN
fis-1267	236	17	s	s	PROPN
fis-1267	236	18	1im	1im	ADJ
fis-1267	236	19	(	(	PUNCT
fis-1267	236	20	)	)	PUNCT
fis-1267	236	21	s	s	PART
fis-1267	236	22	2im	2im	NOUN
fis-1267	236	23	(	(	PUNCT
fis-1267	236	24	)	)	PUNCT
fis-1267	236	25	s	s	PART
fis-1267	236	26	3im	3im	NOUN
fis-1267	236	27	(	(	PUNCT
fis-1267	236	28	)	)	PUNCT
fis-1267	236	29	s	s	PART
fis-1267	236	30	1	1	NUM
fis-1267	236	31	(	(	PUNCT
fis-1267	236	32	)	)	PUNCT
fis-1267	236	33	f	f	PROPN
fis-1267	236	34	s	s	PROPN
fis-1267	236	35	0.019	0.019	NUM
fis-1267	236	36	0.198	0.198	NUM
fis-1267	236	37	1.67	1.67	NUM
fis-1267	236	38	0.019	0.019	NUM
fis-1267	236	39	0.034	0.034	NUM
fis-1267	236	40	0.072	0.072	NUM
fis-1267	236	41	2	2	NUM
fis-1267	236	42	(	(	PUNCT
fis-1267	236	43	)	)	PUNCT
fis-1267	236	44	f	f	PROPN
fis-1267	236	45	s	s	PROPN
fis-1267	236	46	0.0065	0.0065	NUM
fis-1267	236	47	2.432	2.432	NUM
fis-1267	236	48	2.945	2.945	NUM
fis-1267	236	49	0.0065	0.0065	NUM
fis-1267	236	50	0.0558	0.0558	NUM
fis-1267	236	51	0.0785	0.0785	NUM
fis-1267	236	52	3	3	NUM
fis-1267	236	53	(	(	PUNCT
fis-1267	236	54	)	)	PUNCT
fis-1267	236	55	f	f	PROPN
fis-1267	236	56	s	s	PROPN
fis-1267	236	57	0.0055	0.0055	NUM
fis-1267	236	58	0.189	0.189	NUM
fis-1267	236	59	6.261	6.261	NUM
fis-1267	236	60	0.0055	0.0055	NUM
fis-1267	236	61	0.0192	0.0192	NUM
fis-1267	236	62	0.097	0.097	NUM
fis-1267	236	63	table	table	NOUN
fis-1267	236	64	3	3	NUM
fis-1267	236	65	:	:	PUNCT
fis-1267	236	66	numerical	numerical	ADJ
fis-1267	236	67	results	result	NOUN
fis-1267	236	68	.	.	PUNCT
fis-1267	237	1	to	to	PART
fis-1267	237	2	assess	assess	VERB
fis-1267	237	3	accuracy	accuracy	NOUN
fis-1267	237	4	and	and	CCONJ
fis-1267	237	5	convergence	convergence	NOUN
fis-1267	237	6	of	of	ADP
fis-1267	237	7	the	the	DET
fis-1267	237	8	proposed	propose	VERB
fis-1267	237	9	approach	approach	NOUN
fis-1267	237	10	reference	reference	NOUN
fis-1267	237	11	is	be	AUX
fis-1267	237	12	made	make	VERB
fis-1267	237	13	to	to	PART
fis-1267	237	14	fig	fig	VERB
fis-1267	237	15	.	.	PUNCT
fis-1267	238	1	8	8	NUM
fis-1267	238	2	,	,	PUNCT
fis-1267	238	3	9	9	NUM
fis-1267	238	4	and	and	CCONJ
fis-1267	238	5	10	10	NUM
fis-1267	238	6	that	that	PRON
fis-1267	238	7	,	,	PUNCT
fis-1267	238	8	for	for	ADP
fis-1267	238	9	the	the	DET
fis-1267	238	10	objectives	objective	NOUN
fis-1267	238	11	1	1	NUM
fis-1267	238	12	2	2	NUM
fis-1267	238	13	3	3	NUM
fis-1267	238	14	,	,	PUNCT
fis-1267	238	15	,	,	PUNCT
fis-1267	238	16	f	f	PROPN
fis-1267	238	17	f	f	PROPN
fis-1267	238	18	f	f	PROPN
fis-1267	238	19	respectively	respectively	ADV
fis-1267	238	20	,	,	PUNCT
fis-1267	238	21	show	show	VERB
fis-1267	238	22	the	the	DET
fis-1267	238	23	optimal	optimal	ADJ
fis-1267	238	24	values	value	NOUN
fis-1267	238	25	taken	take	VERB
fis-1267	238	26	on	on	ADP
fis-1267	238	27	by	by	ADP
fis-1267	238	28	the	the	DET
fis-1267	238	29	objective	objective	ADJ
fis-1267	238	30	functions	function	NOUN
fis-1267	238	31	versus	versus	ADP
fis-1267	238	32	the	the	DET
fis-1267	238	33	number	number	NOUN
fis-1267	238	34	of	of	ADP
fis-1267	238	35	elements	element	NOUN
fis-1267	238	36	used	use	VERB
fis-1267	238	37	for	for	ADP
fis-1267	238	38	the	the	DET
fis-1267	238	39	discretization	discretization	NOUN
fis-1267	238	40	(	(	PUNCT
fis-1267	238	41	on	on	ADP
fis-1267	238	42	the	the	DET
fis-1267	238	43	left	left	NOUN
fis-1267	238	44	)	)	PUNCT
fis-1267	238	45	and	and	CCONJ
fis-1267	238	46	relevant	relevant	ADJ
fis-1267	238	47	optimal	optimal	ADJ
fis-1267	238	48	designs	design	NOUN
fis-1267	238	49	(	(	PUNCT
fis-1267	238	50	on	on	ADP
fis-1267	238	51	the	the	DET
fis-1267	238	52	right	right	NOUN
fis-1267	238	53	)	)	PUNCT
fis-1267	238	54	.	.	PUNCT
fis-1267	239	1	the	the	DET
fis-1267	239	2	method	method	NOUN
fis-1267	239	3	is	be	AUX
fis-1267	239	4	clearly	clearly	ADV
fis-1267	239	5	robust	robust	ADJ
fis-1267	239	6	in	in	ADP
fis-1267	239	7	that	that	DET
fis-1267	239	8	optimal	optimal	ADJ
fis-1267	239	9	solutions	solution	NOUN
fis-1267	239	10	are	be	AUX
fis-1267	239	11	clearly	clearly	ADV
fis-1267	239	12	mesh	mesh	ADJ
fis-1267	239	13	insensitive	insensitive	ADJ
fis-1267	239	14	and	and	CCONJ
fis-1267	239	15	even	even	ADV
fis-1267	239	16	using	use	VERB
fis-1267	239	17	a	a	DET
fis-1267	239	18	coarse	coarse	ADJ
fis-1267	239	19	mesh	mesh	NOUN
fis-1267	239	20	of	of	ADP
fis-1267	239	21	8	8	NUM
fis-1267	239	22	elements	element	NOUN
fis-1267	239	23	a	a	DET
fis-1267	239	24	good	good	ADJ
fis-1267	239	25	approximation	approximation	NOUN
fis-1267	239	26	to	to	ADP
fis-1267	239	27	the	the	DET
fis-1267	239	28	exact	exact	ADJ
fis-1267	239	29	optimal	optimal	ADJ
fis-1267	239	30	solution	solution	NOUN
fis-1267	239	31	(	(	PUNCT
fis-1267	239	32	that	that	PRON
fis-1267	239	33	is	be	AUX
fis-1267	239	34	of	of	ADP
fis-1267	239	35	course	course	NOUN
fis-1267	239	36	analytically	analytically	ADV
fis-1267	239	37	unknown	unknown	ADJ
fis-1267	239	38	and	and	CCONJ
fis-1267	239	39	is	be	AUX
fis-1267	239	40	herein	herein	NOUN
fis-1267	239	41	assumed	assume	VERB
fis-1267	239	42	to	to	PART
fis-1267	239	43	coincide	coincide	VERB
fis-1267	239	44	with	with	ADP
fis-1267	239	45	the	the	DET
fis-1267	239	46	numerical	numerical	ADJ
fis-1267	239	47	one	one	NOUN
fis-1267	239	48	computed	compute	VERB
fis-1267	239	49	with	with	ADP
fis-1267	239	50	a	a	DET
fis-1267	239	51	mesh	mesh	NOUN
fis-1267	239	52	of	of	ADP
fis-1267	239	53	64	64	NUM
fis-1267	239	54	elements	element	NOUN
fis-1267	239	55	)	)	PUNCT
fis-1267	239	56	is	be	AUX
fis-1267	239	57	found	find	VERB
fis-1267	239	58	.	.	PUNCT
fis-1267	240	1	of	of	ADP
fis-1267	240	2	course	course	NOUN
fis-1267	240	3	,	,	PUNCT
fis-1267	240	4	the	the	PRON
fis-1267	240	5	higher	high	ADJ
fis-1267	240	6	the	the	DET
fis-1267	240	7	mode	mode	NOUN
fis-1267	240	8	number	number	NOUN
fis-1267	240	9	that	that	PRON
fis-1267	240	10	dominates	dominate	VERB
fis-1267	240	11	the	the	DET
fis-1267	240	12	objective	objective	ADJ
fis-1267	240	13	function	function	NOUN
fis-1267	240	14	the	the	DET
fis-1267	240	15	finer	fine	ADJ
fis-1267	240	16	the	the	DET
fis-1267	240	17	mesh	mesh	NOUN
fis-1267	240	18	needed	need	VERB
fis-1267	240	19	to	to	PART
fis-1267	240	20	find	find	VERB
fis-1267	240	21	an	an	DET
fis-1267	240	22	accurate	accurate	ADJ
fis-1267	240	23	solution	solution	NOUN
fis-1267	240	24	:	:	PUNCT
fis-1267	240	25	one	one	NUM
fis-1267	240	26	may	may	AUX
fis-1267	240	27	in	in	ADP
fis-1267	240	28	fact	fact	NOUN
fis-1267	240	29	see	see	VERB
fis-1267	240	30	that	that	SCONJ
fis-1267	240	31	the	the	DET
fis-1267	240	32	solution	solution	NOUN
fis-1267	240	33	using	use	VERB
fis-1267	240	34	8	8	NUM
fis-1267	240	35	elements	element	NOUN
fis-1267	240	36	(	(	PUNCT
fis-1267	240	37	fig	fig	NOUN
fis-1267	240	38	.	.	PUNCT
fis-1267	240	39	8	8	NUM
fis-1267	240	40	on	on	ADP
fis-1267	240	41	the	the	DET
fis-1267	240	42	right	right	NOUN
fis-1267	240	43	)	)	PUNCT
fis-1267	240	44	nearly	nearly	ADV
fis-1267	240	45	coincides	coincide	VERB
fis-1267	240	46	with	with	ADP
fis-1267	240	47	the	the	DET
fis-1267	240	48	exact	exact	ADJ
fis-1267	240	49	one	one	NOUN
fis-1267	240	50	when	when	SCONJ
fis-1267	240	51	the	the	DET
fis-1267	240	52	objective	objective	ADJ
fis-1267	240	53	function	function	NOUN
fis-1267	240	54	is	be	AUX
fis-1267	240	55	1f	1f	NUM
fis-1267	240	56	that	that	PRON
fis-1267	240	57	depends	depend	VERB
fis-1267	240	58	on	on	ADP
fis-1267	240	59	the	the	DET
fis-1267	240	60	first	first	ADJ
fis-1267	240	61	eigenmode	eigenmode	NOUN
fis-1267	240	62	only	only	ADV
fis-1267	240	63	,	,	PUNCT
fis-1267	240	64	whereas	whereas	SCONJ
fis-1267	240	65	the	the	DET
fis-1267	240	66	accuracy	accuracy	NOUN
fis-1267	240	67	decreases	decrease	VERB
fis-1267	240	68	when	when	SCONJ
fis-1267	240	69	solving	solve	VERB
fis-1267	240	70	the	the	DET
fis-1267	240	71	optimal	optimal	ADJ
fis-1267	240	72	design	design	NOUN
fis-1267	240	73	problems	problem	NOUN
fis-1267	240	74	governed	govern	VERB
fis-1267	240	75	by	by	ADP
fis-1267	240	76	2f	2f	NUM
fis-1267	240	77	and	and	CCONJ
fis-1267	240	78	3f	3f	NUM
fis-1267	240	79	that	that	PRON
fis-1267	240	80	involve	involve	VERB
fis-1267	240	81	higher	high	ADJ
fis-1267	240	82	eigenmodes	eigenmode	NOUN
fis-1267	240	83	.	.	PUNCT
fis-1267	241	1	however	however	ADV
fis-1267	241	2	,	,	PUNCT
fis-1267	241	3	this	this	PRON
fis-1267	241	4	should	should	AUX
fis-1267	241	5	not	not	PART
fis-1267	241	6	be	be	AUX
fis-1267	241	7	seen	see	VERB
fis-1267	241	8	as	as	ADP
fis-1267	241	9	a	a	DET
fis-1267	241	10	limitation	limitation	NOUN
fis-1267	241	11	of	of	ADP
fis-1267	241	12	the	the	DET
fis-1267	241	13	proposed	propose	VERB
fis-1267	241	14	optimization	optimization	NOUN
fis-1267	241	15	approach	approach	NOUN
fis-1267	241	16	in	in	ADP
fis-1267	241	17	that	that	PRON
fis-1267	241	18	when	when	SCONJ
fis-1267	241	19	a	a	DET
fis-1267	241	20	coarse	coarse	ADJ
fis-1267	241	21	mesh	mesh	NOUN
fis-1267	241	22	is	be	AUX
fis-1267	241	23	not	not	PART
fis-1267	241	24	capable	capable	ADJ
fis-1267	241	25	to	to	PART
fis-1267	241	26	approximate	approximate	VERB
fis-1267	241	27	accurately	accurately	ADV
fis-1267	241	28	the	the	DET
fis-1267	241	29	eigenmodes	eigenmode	NOUN
fis-1267	241	30	for	for	ADP
fis-1267	241	31	a	a	DET
fis-1267	241	32	given	give	VERB
fis-1267	241	33	material	material	NOUN
fis-1267	241	34	density	density	NOUN
fis-1267	241	35	,	,	PUNCT
fis-1267	241	36	the	the	DET
fis-1267	241	37	solution	solution	NOUN
fis-1267	241	38	of	of	ADP
fis-1267	241	39	the	the	DET
fis-1267	241	40	optimization	optimization	NOUN
fis-1267	241	41	procedure	procedure	NOUN
fis-1267	241	42	can	can	AUX
fis-1267	241	43	not	not	PART
fis-1267	241	44	be	be	AUX
fis-1267	241	45	any	any	ADV
fis-1267	241	46	better	well	ADJ
fis-1267	241	47	.	.	PUNCT
fis-1267	242	1	g.	g.	PROPN
fis-1267	242	2	maurelli	maurelli	PROPN
fis-1267	242	3	et	et	PROPN
fis-1267	242	4	alii	alii	PROPN
fis-1267	242	5	,	,	PUNCT
fis-1267	242	6	frattura	frattura	PROPN
fis-1267	242	7	ed	ed	PROPN
fis-1267	242	8	integrità	integrità	PROPN
fis-1267	242	9	strutturale	strutturale	PROPN
fis-1267	242	10	,	,	PUNCT
fis-1267	242	11	29	29	NUM
fis-1267	242	12	(	(	PUNCT
fis-1267	242	13	2014	2014	NUM
fis-1267	242	14	)	)	PUNCT
fis-1267	242	15	351	351	NUM
fis-1267	242	16	-	-	SYM
fis-1267	242	17	363	363	NUM
fis-1267	242	18	;	;	PUNCT
fis-1267	242	19	doi	doi	NOUN
fis-1267	242	20	:	:	PUNCT
fis-1267	242	21	10.3221	10.3221	NUM
fis-1267	242	22	/	/	SYM
fis-1267	242	23	igf	igf	PROPN
fis-1267	242	24	-	-	PUNCT
fis-1267	242	25	esis.29.31	esis.29.31	PROPN
fis-1267	242	26	360	360	NUM
fis-1267	242	27	0	0	NUM
fis-1267	242	28	10	10	NUM
fis-1267	242	29	20	20	NUM
fis-1267	242	30	30	30	NUM
fis-1267	242	31	40	40	NUM
fis-1267	242	32	50	50	NUM
fis-1267	242	33	60	60	NUM
fis-1267	242	34	70	70	NUM
fis-1267	242	35	0.0165	0.0165	NUM
fis-1267	242	36	0.017	0.017	NUM
fis-1267	242	37	0.0175	0.0175	NUM
fis-1267	242	38	0.018	0.018	NUM
fis-1267	242	39	0.0185	0.0185	NUM
fis-1267	242	40	0.019	0.019	NUM
fis-1267	242	41	0.0195	0.0195	NUM
fis-1267	242	42	0.02	0.02	NUM
fis-1267	242	43	number	number	NOUN
fis-1267	242	44	of	of	ADP
fis-1267	242	45	elements	element	NOUN
fis-1267	242	46	f	f	PROPN
fis-1267	242	47	1(s	1(s	NUM
fis-1267	242	48	)	)	PUNCT
fis-1267	242	49	0	0	NUM
fis-1267	242	50	1	1	NUM
fis-1267	242	51	2	2	NUM
fis-1267	242	52	3	3	NUM
fis-1267	242	53	4	4	NUM
fis-1267	242	54	5	5	NUM
fis-1267	242	55	6	6	NUM
fis-1267	242	56	7	7	NUM
fis-1267	242	57	8	8	NUM
fis-1267	242	58	0	0	NUM
fis-1267	242	59	0.2	0.2	NUM
fis-1267	242	60	0.4	0.4	NUM
fis-1267	242	61	0.6	0.6	NUM
fis-1267	242	62	0.8	0.8	NUM
fis-1267	242	63	1	1	NUM
fis-1267	242	64	1.2	1.2	NUM
fis-1267	242	65	1.4	1.4	NUM
fis-1267	242	66	1.6	1.6	NUM
fis-1267	242	67	beam	beam	NOUN
fis-1267	242	68	axis	axis	NOUN
fis-1267	243	1	o	o	NOUN
fis-1267	243	2	pt	pt	NOUN
fis-1267	244	1	i	i	NOUN
fis-1267	244	2	m	m	PROPN
fis-1267	244	3	al	al	PROPN
fis-1267	244	4	d	d	PROPN
fis-1267	244	5	en	en	ADP
fis-1267	244	6	si	si	INTJ
fis-1267	245	1	ty	ty	INTJ
fis-1267	245	2	−	−	PROPN
fis-1267	245	3	f	f	PROPN
fis-1267	245	4	1(s	1(s	NUM
fis-1267	245	5	)	)	PUNCT
fis-1267	245	6	23	23	NUM
fis-1267	245	7	elements	element	NOUN
fis-1267	245	8	24	24	NUM
fis-1267	245	9	elements	element	NOUN
fis-1267	245	10	25	25	NUM
fis-1267	245	11	elements	element	NOUN
fis-1267	245	12	26	26	NUM
fis-1267	245	13	elements	element	NOUN
fis-1267	245	14	figure	figure	VERB
fis-1267	245	15	8	8	NUM
fis-1267	245	16	:	:	SYM
fis-1267	245	17	1	1	NUM
fis-1267	245	18	sf	sf	NOUN
fis-1267	245	19	:	:	PUNCT
fis-1267	245	20	convergence	convergence	NOUN
fis-1267	245	21	vs	vs	ADP
fis-1267	245	22	number	number	NOUN
fis-1267	245	23	of	of	ADP
fis-1267	245	24	elements	element	NOUN
fis-1267	245	25	(	(	PUNCT
fis-1267	245	26	left	leave	VERB
fis-1267	245	27	)	)	PUNCT
fis-1267	245	28	–	–	PUNCT
fis-1267	245	29	optimal	optimal	ADJ
fis-1267	245	30	densities	density	NOUN
fis-1267	245	31	vs	vs	ADP
fis-1267	245	32	number	number	NOUN
fis-1267	245	33	of	of	ADP
fis-1267	245	34	elements	element	NOUN
fis-1267	245	35	(	(	PUNCT
fis-1267	245	36	right	right	ADJ
fis-1267	245	37	)	)	PUNCT
fis-1267	245	38	.	.	PUNCT
fis-1267	246	1	0	0	NUM
fis-1267	246	2	10	10	NUM
fis-1267	246	3	20	20	NUM
fis-1267	246	4	30	30	NUM
fis-1267	246	5	40	40	NUM
fis-1267	246	6	50	50	NUM
fis-1267	246	7	60	60	NUM
fis-1267	246	8	70	70	NUM
fis-1267	246	9	−2.45	−2.45	NOUN
fis-1267	246	10	−2.4	−2.4	PROPN
fis-1267	247	1	−2.35	−2.35	NOUN
fis-1267	247	2	−2.3	−2.3	NOUN
fis-1267	247	3	−2.25	−2.25	NOUN
fis-1267	247	4	−2.2	−2.2	NOUN
fis-1267	248	1	−2.15	−2.15	INTJ
fis-1267	248	2	−2.1	−2.1	NUM
fis-1267	248	3	−2.05	−2.05	ADP
fis-1267	248	4	−2	−2	NOUN
fis-1267	248	5	−1.95	−1.95	ADJ
fis-1267	248	6	number	number	NOUN
fis-1267	248	7	of	of	ADP
fis-1267	248	8	elements	element	NOUN
fis-1267	248	9	f	f	PROPN
fis-1267	248	10	2(s	2(s	NUM
fis-1267	248	11	)	)	PUNCT
fis-1267	248	12	0	0	NUM
fis-1267	248	13	1	1	NUM
fis-1267	248	14	2	2	NUM
fis-1267	248	15	3	3	NUM
fis-1267	248	16	4	4	NUM
fis-1267	248	17	5	5	NUM
fis-1267	248	18	6	6	NUM
fis-1267	248	19	7	7	NUM
fis-1267	248	20	8	8	NUM
fis-1267	248	21	0	0	NUM
fis-1267	248	22	0.2	0.2	NUM
fis-1267	248	23	0.4	0.4	NUM
fis-1267	248	24	0.6	0.6	NUM
fis-1267	248	25	0.8	0.8	NUM
fis-1267	248	26	1	1	NUM
fis-1267	248	27	1.2	1.2	NUM
fis-1267	248	28	1.4	1.4	NUM
fis-1267	248	29	beam	beam	NOUN
fis-1267	248	30	axis	axis	NOUN
fis-1267	248	31	o	o	NOUN
fis-1267	248	32	pt	pt	NOUN
fis-1267	249	1	i	i	NOUN
fis-1267	249	2	m	m	PROPN
fis-1267	249	3	al	al	PROPN
fis-1267	249	4	d	d	PROPN
fis-1267	249	5	en	en	ADP
fis-1267	249	6	si	si	INTJ
fis-1267	250	1	ty	ty	INTJ
fis-1267	250	2	−	−	PROPN
fis-1267	250	3	f	f	PROPN
fis-1267	250	4	2(s	2(s	NUM
fis-1267	250	5	)	)	PUNCT
fis-1267	251	1	23	23	NUM
fis-1267	251	2	elements	element	NOUN
fis-1267	251	3	24	24	NUM
fis-1267	251	4	elements	element	NOUN
fis-1267	251	5	25	25	NUM
fis-1267	251	6	elements	element	NOUN
fis-1267	251	7	26	26	NUM
fis-1267	251	8	elements	element	NOUN
fis-1267	251	9	figure	figure	VERB
fis-1267	251	10	9	9	NUM
fis-1267	251	11	:	:	SYM
fis-1267	251	12	2	2	NUM
fis-1267	251	13	sf	sf	NOUN
fis-1267	251	14	:	:	PUNCT
fis-1267	251	15	convergence	convergence	NOUN
fis-1267	251	16	vs	vs	ADP
fis-1267	251	17	number	number	NOUN
fis-1267	251	18	of	of	ADP
fis-1267	251	19	elements	element	NOUN
fis-1267	251	20	(	(	PUNCT
fis-1267	251	21	left	leave	VERB
fis-1267	251	22	)	)	PUNCT
fis-1267	251	23	–	–	PUNCT
fis-1267	251	24	optimal	optimal	ADJ
fis-1267	251	25	densities	density	NOUN
fis-1267	251	26	vs	vs	ADP
fis-1267	251	27	number	number	NOUN
fis-1267	251	28	of	of	ADP
fis-1267	251	29	elements	element	NOUN
fis-1267	251	30	(	(	PUNCT
fis-1267	251	31	right	right	ADJ
fis-1267	251	32	)	)	PUNCT
fis-1267	251	33	.	.	PUNCT
fis-1267	252	1	0	0	NUM
fis-1267	252	2	10	10	NUM
fis-1267	252	3	20	20	NUM
fis-1267	252	4	30	30	NUM
fis-1267	252	5	40	40	NUM
fis-1267	252	6	50	50	NUM
fis-1267	252	7	60	60	NUM
fis-1267	252	8	70	70	NUM
fis-1267	252	9	−7	−7	NOUN
fis-1267	252	10	−6	−6	INTJ
fis-1267	252	11	−5	−5	NOUN
fis-1267	252	12	−4	−4	X
fis-1267	253	1	−3	−3	X
fis-1267	253	2	−2	−2	NOUN
fis-1267	253	3	−1	−1	NOUN
fis-1267	253	4	number	number	NOUN
fis-1267	253	5	of	of	ADP
fis-1267	253	6	elements	element	NOUN
fis-1267	253	7	f	f	PROPN
fis-1267	253	8	3(s	3(s	NUM
fis-1267	253	9	)	)	PUNCT
fis-1267	253	10	0	0	NUM
fis-1267	253	11	1	1	NUM
fis-1267	253	12	2	2	NUM
fis-1267	253	13	3	3	NUM
fis-1267	253	14	4	4	NUM
fis-1267	253	15	5	5	NUM
fis-1267	253	16	6	6	NUM
fis-1267	253	17	7	7	NUM
fis-1267	253	18	8	8	NUM
fis-1267	253	19	0	0	NUM
fis-1267	253	20	0.2	0.2	NUM
fis-1267	253	21	0.4	0.4	NUM
fis-1267	253	22	0.6	0.6	NUM
fis-1267	253	23	0.8	0.8	NUM
fis-1267	253	24	1	1	NUM
fis-1267	253	25	1.2	1.2	NUM
fis-1267	253	26	1.4	1.4	NUM
fis-1267	253	27	1.6	1.6	NUM
fis-1267	253	28	1.8	1.8	NUM
fis-1267	253	29	2	2	NUM
fis-1267	253	30	beam	beam	NOUN
fis-1267	253	31	axis	axis	NOUN
fis-1267	253	32	o	o	NOUN
fis-1267	253	33	pt	pt	NOUN
fis-1267	254	1	i	i	NOUN
fis-1267	254	2	m	m	PROPN
fis-1267	254	3	al	al	PROPN
fis-1267	254	4	d	d	PROPN
fis-1267	254	5	en	en	ADP
fis-1267	254	6	si	si	INTJ
fis-1267	255	1	ty	ty	INTJ
fis-1267	255	2	−	−	PROPN
fis-1267	255	3	f	f	PROPN
fis-1267	255	4	3(s	3(s	NUM
fis-1267	255	5	)	)	PUNCT
fis-1267	255	6	23	23	NUM
fis-1267	255	7	elements	element	NOUN
fis-1267	255	8	24	24	NUM
fis-1267	255	9	elements	element	NOUN
fis-1267	255	10	25	25	NUM
fis-1267	255	11	elements	element	NOUN
fis-1267	255	12	26	26	NUM
fis-1267	255	13	elements	element	NOUN
fis-1267	255	14	figure	figure	VERB
fis-1267	255	15	10	10	NUM
fis-1267	255	16	:	:	SYM
fis-1267	255	17	3	3	NUM
fis-1267	255	18	sf	sf	NOUN
fis-1267	255	19	:	:	PUNCT
fis-1267	255	20	convergence	convergence	NOUN
fis-1267	255	21	vs	vs	ADP
fis-1267	255	22	number	number	NOUN
fis-1267	255	23	of	of	ADP
fis-1267	255	24	elements	element	NOUN
fis-1267	255	25	(	(	PUNCT
fis-1267	255	26	left	leave	VERB
fis-1267	255	27	)	)	PUNCT
fis-1267	255	28	–	–	PUNCT
fis-1267	255	29	optimal	optimal	ADJ
fis-1267	255	30	densities	density	NOUN
fis-1267	255	31	vs	vs	ADP
fis-1267	255	32	number	number	NOUN
fis-1267	255	33	of	of	ADP
fis-1267	255	34	elements	element	NOUN
fis-1267	255	35	(	(	PUNCT
fis-1267	255	36	right	right	ADJ
fis-1267	255	37	)	)	PUNCT
fis-1267	255	38	.	.	PUNCT
fis-1267	256	1	g.	g.	PROPN
fis-1267	256	2	maurelli	maurelli	PROPN
fis-1267	256	3	et	et	PROPN
fis-1267	256	4	alii	alii	PROPN
fis-1267	256	5	,	,	PUNCT
fis-1267	256	6	frattura	frattura	PROPN
fis-1267	256	7	ed	ed	PROPN
fis-1267	256	8	integrità	integrità	PROPN
fis-1267	256	9	strutturale	strutturale	PROPN
fis-1267	256	10	,	,	PUNCT
fis-1267	256	11	29	29	NUM
fis-1267	256	12	(	(	PUNCT
fis-1267	256	13	2014	2014	NUM
fis-1267	256	14	)	)	PUNCT
fis-1267	256	15	351	351	NUM
fis-1267	256	16	-	-	SYM
fis-1267	256	17	363	363	NUM
fis-1267	256	18	;	;	PUNCT
fis-1267	256	19	doi	doi	NOUN
fis-1267	256	20	:	:	PUNCT
fis-1267	256	21	10.3221	10.3221	NUM
fis-1267	256	22	/	/	SYM
fis-1267	256	23	igf	igf	PROPN
fis-1267	256	24	-	-	PUNCT
fis-1267	256	25	esis.29.31	esis.29.31	PROPN
fis-1267	256	26	361	361	NUM
fis-1267	256	27	analysis	analysis	NOUN
fis-1267	256	28	of	of	ADP
fis-1267	256	29	a	a	DET
fis-1267	256	30	plane	plane	NOUN
fis-1267	256	31	cantilever	cantilever	VERB
fis-1267	256	32	the	the	DET
fis-1267	256	33	plane	plane	NOUN
fis-1267	256	34	cantilever	cantilever	NOUN
fis-1267	256	35	of	of	ADP
fis-1267	256	36	fig	fig	NOUN
fis-1267	256	37	.	.	PUNCT
fis-1267	257	1	11	11	NUM
fis-1267	257	2	,	,	PUNCT
fis-1267	257	3	uniformly	uniformly	ADV
fis-1267	257	4	loaded	load	VERB
fis-1267	257	5	on	on	ADP
fis-1267	257	6	the	the	DET
fis-1267	257	7	right	right	ADJ
fis-1267	257	8	side	side	NOUN
fis-1267	257	9	is	be	AUX
fis-1267	257	10	considered	consider	VERB
fis-1267	257	11	.	.	PUNCT
fis-1267	258	1	the	the	DET
fis-1267	258	2	spatially	spatially	ADV
fis-1267	258	3	uniform	uniform	ADJ
fis-1267	258	4	load	load	NOUN
fis-1267	258	5	is	be	AUX
fis-1267	258	6	modulated	modulate	VERB
fis-1267	258	7	in	in	ADP
fis-1267	258	8	time	time	NOUN
fis-1267	258	9	by	by	ADP
fis-1267	258	10	means	mean	NOUN
fis-1267	258	11	of	of	ADP
fis-1267	258	12	the	the	DET
fis-1267	258	13	function	function	NOUN
fis-1267	258	14	1	1	NUM
fis-1267	258	15	1	1	NUM
fis-1267	258	16	sin	sin	NOUN
fis-1267	258	17	2	2	NUM
fis-1267	258	18	(	(	PUNCT
fis-1267	258	19	)	)	PUNCT
fis-1267	258	20	0	0	NUM
fis-1267	259	1	t	t	NOUN
fis-1267	259	2	t	t	PROPN
fis-1267	259	3	t	t	PROPN
fis-1267	259	4	tf	tf	PROPN
fis-1267	259	5	t	t	PROPN
fis-1267	259	6	else	else	ADV
fis-1267	259	7			PROPN
fis-1267	259	8			PROPN
fis-1267	259	9			PROPN
fis-1267	259	10	(	(	PUNCT
fis-1267	259	11	26	26	NUM
fis-1267	259	12	)	)	PUNCT
fis-1267	259	13	where	where	SCONJ
fis-1267	259	14	1	1	NUM
fis-1267	259	15	2	2	NUM
fis-1267	259	16	t	t	NOUN
fis-1267	259	17	s	s	NOUN
fis-1267	259	18	and	and	CCONJ
fis-1267	259	19	[	[	X
fis-1267	259	20	0,10	0,10	X
fis-1267	259	21	]	]	X
fis-1267	259	22	.t	.t	NOUN
fis-1267	259	23	s	s	ADJ
fis-1267	259	24	as	as	ADP
fis-1267	259	25	to	to	ADP
fis-1267	259	26	the	the	DET
fis-1267	259	27	physical	physical	ADJ
fis-1267	259	28	properties	property	NOUN
fis-1267	259	29	of	of	ADP
fis-1267	259	30	the	the	DET
fis-1267	259	31	structure	structure	NOUN
fis-1267	259	32	the	the	DET
fis-1267	259	33	following	follow	VERB
fis-1267	259	34	values	value	NOUN
fis-1267	259	35	are	be	AUX
fis-1267	259	36	adopted	adopt	VERB
fis-1267	259	37	as	as	ADP
fis-1267	259	38	to	to	ADP
fis-1267	259	39	the	the	DET
fis-1267	259	40	isotropic	isotropic	ADJ
fis-1267	259	41	elastic	elastic	ADJ
fis-1267	259	42	and	and	CCONJ
fis-1267	259	43	viscous	viscous	ADJ
fis-1267	259	44	compliance	compliance	NOUN
fis-1267	259	45	tensors	tensor	NOUN
fis-1267	259	46	that	that	PRON
fis-1267	259	47	are	be	AUX
fis-1267	259	48	defined	define	VERB
fis-1267	259	49	in	in	ADP
fis-1267	259	50	terms	term	NOUN
fis-1267	259	51	of	of	ADP
fis-1267	259	52	lamé	lamé	NOUN
fis-1267	259	53	constants	constant	NOUN
fis-1267	259	54	:	:	PUNCT
fis-1267	259	55	0	0	NUM
fis-1267	259	56	1	1	NUM
fis-1267	259	57	0	0	NUM
fis-1267	259	58	100	100	NUM
fis-1267	259	59	80	80	NUM
fis-1267	259	60	100	100	NUM
fis-1267	259	61	75	75	NUM
fis-1267	259	62	90	90	NUM
fis-1267	259	63	30	30	NUM
fis-1267	259	64	e	e	NOUN
fis-1267	259	65	e	e	X
fis-1267	259	66	v	v	ADP
fis-1267	259	67	a	a	DET
fis-1267	259	68	a	a	DET
fis-1267	259	69	a	a	DET
fis-1267	259	70			ADJ
fis-1267	259	71			NOUN
fis-1267	259	72			PRON
fis-1267	259	73			PROPN
fis-1267	259	74			NUM
fis-1267	259	75			NOUN
fis-1267	259	76			NUM
fis-1267	259	77			X
fis-1267	259	78	(	(	PUNCT
fis-1267	259	79	27	27	NUM
fis-1267	259	80	)	)	PUNCT
fis-1267	259	81	a	a	DET
fis-1267	259	82	uniform	uniform	ADJ
fis-1267	259	83	mass	mass	NOUN
fis-1267	259	84	density	density	NOUN
fis-1267	259	85	0.5	0.5	NUM
fis-1267	259	86			NUM
fis-1267	259	87	is	be	AUX
fis-1267	259	88	further	far	ADV
fis-1267	259	89	considered	consider	VERB
fis-1267	259	90	.	.	PUNCT
fis-1267	260	1	fig	fig	NOUN
fis-1267	260	2	.	.	PUNCT
fis-1267	261	1	12	12	NUM
fis-1267	261	2	,	,	PUNCT
fis-1267	261	3	13	13	NUM
fis-1267	261	4	and	and	CCONJ
fis-1267	261	5	14	14	NUM
fis-1267	261	6	show	show	VERB
fis-1267	261	7	the	the	DET
fis-1267	261	8	maps	map	NOUN
fis-1267	261	9	of	of	ADP
fis-1267	261	10	the	the	DET
fis-1267	261	11	stress	stress	NOUN
fis-1267	261	12	components	component	NOUN
fis-1267	261	13	,	,	PUNCT
fis-1267	261	14	,	,	PUNCT
fis-1267	261	15	xx	xx	NUM
fis-1267	261	16	xy	xy	PROPN
fis-1267	261	17	yy	yy	PROPN
fis-1267	261	18			X
fis-1267	261	19			PROPN
fis-1267	261	20	at	at	ADP
fis-1267	261	21	final	final	ADJ
fis-1267	261	22	time	time	NOUN
fis-1267	261	23	10	10	NUM
fis-1267	261	24	t	t	NOUN
fis-1267	261	25	s	s	NOUN
fis-1267	261	26	.	.	PUNCT
fis-1267	262	1	figure	figure	VERB
fis-1267	262	2	11	11	NUM
fis-1267	262	3	:	:	PUNCT
fis-1267	262	4	plane	plane	NOUN
fis-1267	262	5	viscoelastic	viscoelastic	NOUN
fis-1267	262	6	cantilever	cantilever	NOUN
fis-1267	262	7	under	under	ADP
fis-1267	262	8	investigation	investigation	NOUN
fis-1267	262	9	.	.	PUNCT
fis-1267	263	1	figure	figure	NOUN
fis-1267	263	2	12	12	NUM
fis-1267	263	3	:	:	PUNCT
fis-1267	264	1	xx	xx	PROPN
fis-1267	264	2	(	(	PUNCT
fis-1267	264	3	normal	normal	ADJ
fis-1267	264	4	stress	stress	NOUN
fis-1267	264	5	)	)	PUNCT
fis-1267	264	6	.	.	PUNCT
fis-1267	265	1	g.	g.	PROPN
fis-1267	265	2	maurelli	maurelli	PROPN
fis-1267	265	3	et	et	PROPN
fis-1267	265	4	alii	alii	PROPN
fis-1267	265	5	,	,	PUNCT
fis-1267	265	6	frattura	frattura	PROPN
fis-1267	265	7	ed	ed	PROPN
fis-1267	265	8	integrità	integrità	PROPN
fis-1267	265	9	strutturale	strutturale	PROPN
fis-1267	265	10	,	,	PUNCT
fis-1267	265	11	29	29	NUM
fis-1267	265	12	(	(	PUNCT
fis-1267	265	13	2014	2014	NUM
fis-1267	265	14	)	)	PUNCT
fis-1267	265	15	351	351	NUM
fis-1267	265	16	-	-	SYM
fis-1267	265	17	363	363	NUM
fis-1267	265	18	;	;	PUNCT
fis-1267	265	19	doi	doi	NOUN
fis-1267	265	20	:	:	PUNCT
fis-1267	265	21	10.3221	10.3221	NUM
fis-1267	265	22	/	/	SYM
fis-1267	265	23	igf	igf	PROPN
fis-1267	265	24	-	-	PUNCT
fis-1267	265	25	esis.29.31	esis.29.31	PROPN
fis-1267	265	26	362	362	NUM
fis-1267	265	27	figure	figure	NOUN
fis-1267	265	28	13	13	NUM
fis-1267	265	29	:	:	PUNCT
fis-1267	265	30	xy	xy	PROPN
fis-1267	265	31	(	(	PUNCT
fis-1267	265	32	shear	shear	NOUN
fis-1267	265	33	stress	stress	NOUN
fis-1267	265	34	)	)	PUNCT
fis-1267	265	35	figure	figure	NOUN
fis-1267	265	36	14	14	NUM
fis-1267	265	37	:	:	PUNCT
fis-1267	265	38	yy	yy	PROPN
fis-1267	265	39	(	(	PUNCT
fis-1267	265	40	vertical	vertical	ADJ
fis-1267	265	41	stress	stress	NOUN
fis-1267	265	42	)	)	PUNCT
fis-1267	265	43	to	to	PART
fis-1267	265	44	appreciate	appreciate	VERB
fis-1267	265	45	the	the	DET
fis-1267	265	46	diffusion	diffusion	NOUN
fis-1267	265	47	of	of	ADP
fis-1267	265	48	the	the	DET
fis-1267	265	49	stress	stress	NOUN
fis-1267	265	50	components	component	NOUN
fis-1267	265	51	with	with	ADP
fis-1267	265	52	time	time	NOUN
fis-1267	265	53	,	,	PUNCT
fis-1267	265	54	fig	fig	NOUN
fis-1267	265	55	.	.	NOUN
fis-1267	266	1	15	15	NUM
fis-1267	266	2	and	and	CCONJ
fis-1267	266	3	16	16	NUM
fis-1267	266	4	show	show	VERB
fis-1267	266	5	a	a	DET
fis-1267	266	6	few	few	ADJ
fis-1267	266	7	snapshots	snapshot	NOUN
fis-1267	266	8	that	that	PRON
fis-1267	266	9	display	display	VERB
fis-1267	266	10	the	the	DET
fis-1267	266	11	variation	variation	NOUN
fis-1267	266	12	of	of	ADP
fis-1267	266	13	the	the	DET
fis-1267	266	14	stress	stress	NOUN
fis-1267	266	15	component	component	NOUN
fis-1267	266	16	,	,	PUNCT
fis-1267	266	17	xx	xx	NUM
fis-1267	266	18	xy	xy	PROPN
fis-1267	266	19			PROPN
fis-1267	266	20	at	at	ADP
fis-1267	266	21	regularly	regularly	ADV
fis-1267	266	22	spaced	space	VERB
fis-1267	266	23	time	time	NOUN
fis-1267	266	24	stations	station	NOUN
fis-1267	266	25	.	.	PUNCT
fis-1267	267	1	figure	figure	VERB
fis-1267	267	2	15	15	NUM
fis-1267	267	3	:	:	PUNCT
fis-1267	267	4	evolution	evolution	NOUN
fis-1267	267	5	of	of	ADP
fis-1267	267	6	xx	xx	PROPN
fis-1267	267	7	(	(	PUNCT
fis-1267	267	8	normal	normal	ADJ
fis-1267	267	9	stress	stress	NOUN
fis-1267	267	10	)	)	PUNCT
fis-1267	267	11	with	with	ADP
fis-1267	267	12	time	time	NOUN
fis-1267	267	13	.	.	PUNCT
fis-1267	268	1	figure	figure	VERB
fis-1267	268	2	16	16	NUM
fis-1267	268	3	:	:	PUNCT
fis-1267	268	4	evolution	evolution	NOUN
fis-1267	268	5	of	of	ADP
fis-1267	268	6	xy	xy	PROPN
fis-1267	268	7	(	(	PUNCT
fis-1267	268	8	shear	shear	NOUN
fis-1267	268	9	stress	stress	NOUN
fis-1267	268	10	)	)	PUNCT
fis-1267	268	11	with	with	ADP
fis-1267	268	12	time	time	NOUN
fis-1267	268	13	.	.	PUNCT
fis-1267	269	1	finally	finally	ADV
fis-1267	269	2	,	,	PUNCT
fis-1267	269	3	fig	fig	NOUN
fis-1267	269	4	.	.	PUNCT
fis-1267	270	1	17	17	NUM
fis-1267	270	2	shows	show	VERB
fis-1267	270	3	the	the	DET
fis-1267	270	4	time	time	NOUN
fis-1267	270	5	-	-	PUNCT
fis-1267	270	6	variation	variation	NOUN
fis-1267	270	7	of	of	ADP
fis-1267	270	8	the	the	DET
fis-1267	270	9	stress	stress	NOUN
fis-1267	270	10	xx	xx	PROPN
fis-1267	270	11	at	at	ADP
fis-1267	270	12	the	the	DET
fis-1267	270	13	upper	upper	ADV
fis-1267	270	14	-	-	PUNCT
fis-1267	270	15	left	left	ADJ
fis-1267	270	16	corner	corner	NOUN
fis-1267	270	17	of	of	ADP
fis-1267	270	18	the	the	DET
fis-1267	270	19	cantilever	cantilever	NOUN
fis-1267	270	20	.	.	PUNCT
fis-1267	271	1	conclusions	conclusion	NOUN
fis-1267	271	2	truly	truly	ADV
fis-1267	271	3	-	-	PUNCT
fis-1267	271	4	mixed	mixed	ADJ
fis-1267	271	5	variational	variational	ADJ
fis-1267	271	6	formulation	formulation	NOUN
fis-1267	271	7	for	for	ADP
fis-1267	271	8	the	the	DET
fis-1267	271	9	analysis	analysis	NOUN
fis-1267	271	10	of	of	ADP
fis-1267	271	11	viscoelastic	viscoelastic	ADJ
fis-1267	271	12	continua	continuum	NOUN
fis-1267	271	13	and	and	CCONJ
fis-1267	271	14	thin	thin	ADJ
fis-1267	271	15	beams	beam	NOUN
fis-1267	271	16	has	have	AUX
fis-1267	271	17	been	be	AUX
fis-1267	271	18	presented	present	VERB
fis-1267	271	19	that	that	SCONJ
fis-1267	271	20	uses	use	VERB
fis-1267	271	21	stresses	stress	NOUN
fis-1267	271	22	(	(	PUNCT
fis-1267	271	23	moments	moment	NOUN
fis-1267	271	24	)	)	PUNCT
fis-1267	271	25	as	as	ADP
fis-1267	271	26	primary	primary	ADJ
fis-1267	271	27	variables	variable	NOUN
fis-1267	271	28	and	and	CCONJ
fis-1267	271	29	velocities	velocity	NOUN
fis-1267	271	30	(	(	PUNCT
fis-1267	271	31	instead	instead	ADV
fis-1267	271	32	of	of	ADP
fis-1267	271	33	displacements	displacement	NOUN
fis-1267	271	34	)	)	PUNCT
fis-1267	271	35	as	as	ADP
fis-1267	271	36	lagrange	lagrange	NOUN
fis-1267	271	37	multipliers	multiplier	NOUN
fis-1267	271	38	.	.	PUNCT
fis-1267	272	1	a	a	DET
fis-1267	272	2	topology	topology	NOUN
fis-1267	272	3	optimization	optimization	NOUN
fis-1267	272	4	method	method	NOUN
fis-1267	272	5	for	for	ADP
fis-1267	272	6	viscoelastic	viscoelastic	ADJ
fis-1267	272	7	devices	device	NOUN
fis-1267	272	8	has	have	AUX
fis-1267	272	9	then	then	ADV
fis-1267	272	10	been	be	AUX
fis-1267	272	11	developed	develop	VERB
fis-1267	272	12	and	and	CCONJ
fis-1267	272	13	applied	apply	VERB
fis-1267	272	14	to	to	ADP
fis-1267	272	15	thin	thin	ADJ
fis-1267	272	16	beams	beam	NOUN
fis-1267	272	17	within	within	ADP
fis-1267	272	18	a	a	DET
fis-1267	272	19	few	few	ADJ
fis-1267	272	20	representative	representative	ADJ
fis-1267	272	21	numerical	numerical	ADJ
fis-1267	272	22	simulations	simulation	NOUN
fis-1267	272	23	.	.	PUNCT
fis-1267	273	1	ongoing	ongoing	ADJ
fis-1267	273	2	extensions	extension	NOUN
fis-1267	273	3	include	include	VERB
fis-1267	273	4	applications	application	NOUN
fis-1267	273	5	to	to	ADP
fis-1267	273	6	two	two	NUM
fis-1267	273	7	dimensional	dimensional	ADJ
fis-1267	273	8	viscoelastic	viscoelastic	NOUN
fis-1267	273	9	devices	device	NOUN
fis-1267	273	10	with	with	ADP
fis-1267	273	11	respect	respect	NOUN
fis-1267	273	12	to	to	ADP
fis-1267	273	13	eigenvalue	eigenvalue	NOUN
fis-1267	273	14	-	-	PUNCT
fis-1267	273	15	based	base	VERB
fis-1267	273	16	design	design	NOUN
fis-1267	273	17	objectives	objective	NOUN
fis-1267	273	18	.	.	PUNCT
fis-1267	274	1	a	a	DET
fis-1267	274	2	g.	g.	PROPN
fis-1267	274	3	maurelli	maurelli	NOUN
fis-1267	274	4	et	et	PROPN
fis-1267	274	5	alii	alii	PROPN
fis-1267	274	6	,	,	PUNCT
fis-1267	274	7	frattura	frattura	PROPN
fis-1267	274	8	ed	ed	PROPN
fis-1267	274	9	integrità	integrità	PROPN
fis-1267	274	10	strutturale	strutturale	PROPN
fis-1267	274	11	,	,	PUNCT
fis-1267	274	12	29	29	NUM
fis-1267	274	13	(	(	PUNCT
fis-1267	274	14	2014	2014	NUM
fis-1267	274	15	)	)	PUNCT
fis-1267	274	16	351	351	NUM
fis-1267	274	17	-	-	SYM
fis-1267	274	18	363	363	NUM
fis-1267	274	19	;	;	PUNCT
fis-1267	274	20	doi	doi	NOUN
fis-1267	274	21	:	:	PUNCT
fis-1267	274	22	10.3221	10.3221	NUM
fis-1267	274	23	/	/	SYM
fis-1267	274	24	igf	igf	PROPN
fis-1267	274	25	-	-	PUNCT
fis-1267	274	26	esis.29.31	esis.29.31	PROPN
fis-1267	274	27	363	363	NUM
fis-1267	274	28	figure	figure	NOUN
fis-1267	274	29	17	17	NUM
fis-1267	274	30	:	:	PUNCT
fis-1267	274	31	evolution	evolution	NOUN
fis-1267	274	32	of	of	ADP
fis-1267	274	33	xx	xx	PROPN
fis-1267	274	34	(	(	PUNCT
fis-1267	274	35	normal	normal	ADJ
fis-1267	274	36	stress	stress	NOUN
fis-1267	274	37	)	)	PUNCT
fis-1267	274	38	with	with	ADP
fis-1267	274	39	time	time	NOUN
fis-1267	274	40	at	at	ADP
fis-1267	274	41	the	the	DET
fis-1267	274	42	upper	upper	ADJ
fis-1267	274	43	left	left	ADJ
fis-1267	274	44	corner	corner	NOUN
fis-1267	274	45	of	of	ADP
fis-1267	274	46	the	the	DET
fis-1267	274	47	cantilever	cantilever	NOUN
fis-1267	274	48	.	.	PUNCT
fis-1267	275	1	references	reference	NOUN
fis-1267	275	2	[	[	X
fis-1267	275	3	1	1	NUM
fis-1267	275	4	]	]	X
fis-1267	275	5	phan	phan	PROPN
fis-1267	275	6	-	-	PUNCT
fis-1267	275	7	thien	thien	PROPN
fis-1267	275	8	,	,	PUNCT
fis-1267	275	9	n.	n.	NOUN
fis-1267	275	10	,	,	PUNCT
fis-1267	275	11	understanding	understand	VERB
fis-1267	275	12	viscoelasticity	viscoelasticity	NOUN
fis-1267	275	13	,	,	PUNCT
fis-1267	275	14	advanced	advanced	ADJ
fis-1267	275	15	texts	text	NOUN
fis-1267	275	16	in	in	ADP
fis-1267	275	17	physics	physics	NOUN
fis-1267	275	18	,	,	PUNCT
fis-1267	275	19	springer	springer	NOUN
fis-1267	275	20	-	-	PUNCT
fis-1267	275	21	verlag	verlag	PROPN
fis-1267	275	22	,	,	PUNCT
fis-1267	275	23	berlin	berlin	PROPN
fis-1267	275	24	,	,	PUNCT
fis-1267	275	25	(	(	PUNCT
fis-1267	275	26	2002	2002	NUM
fis-1267	275	27	)	)	PUNCT
fis-1267	275	28	.	.	PUNCT
fis-1267	276	1	[	[	X
fis-1267	276	2	2	2	NUM
fis-1267	276	3	]	]	PUNCT
fis-1267	276	4	bruggi	bruggi	PROPN
fis-1267	276	5	,	,	PUNCT
fis-1267	276	6	m.	m.	NOUN
fis-1267	276	7	,	,	PUNCT
fis-1267	276	8	venini	venini	NOUN
fis-1267	276	9	,	,	PUNCT
fis-1267	276	10	p.	p.	NOUN
fis-1267	276	11	,	,	PUNCT
fis-1267	276	12	eigenvalue	eigenvalue	NOUN
fis-1267	276	13	-	-	PUNCT
fis-1267	276	14	based	base	VERB
fis-1267	276	15	optimization	optimization	NOUN
fis-1267	276	16	of	of	ADP
fis-1267	276	17	incompressible	incompressible	ADJ
fis-1267	276	18	media	medium	NOUN
fis-1267	276	19	using	use	VERB
fis-1267	276	20	mixed	mixed	ADJ
fis-1267	276	21	finite	finite	ADJ
fis-1267	276	22	elements	element	NOUN
fis-1267	276	23	with	with	ADP
fis-1267	276	24	application	application	NOUN
fis-1267	276	25	to	to	ADP
fis-1267	276	26	isolation	isolation	NOUN
fis-1267	276	27	devices	device	NOUN
fis-1267	276	28	,	,	PUNCT
fis-1267	276	29	computer	computer	NOUN
fis-1267	276	30	methods	method	NOUN
fis-1267	276	31	in	in	ADP
fis-1267	276	32	applied	applied	ADJ
fis-1267	276	33	mechanics	mechanic	NOUN
fis-1267	276	34	and	and	CCONJ
fis-1267	276	35	engineering	engineering	NOUN
fis-1267	276	36	,	,	PUNCT
fis-1267	276	37	197(13	197(13	NUM
fis-1267	276	38	-	-	SYM
fis-1267	276	39	16	16	NUM
fis-1267	276	40	)	)	PUNCT
fis-1267	276	41	(	(	PUNCT
fis-1267	276	42	2008	2008	NUM
fis-1267	276	43	)	)	PUNCT
fis-1267	276	44	12621279	12621279	NUM
fis-1267	276	45	.	.	PUNCT
fis-1267	277	1	[	[	X
fis-1267	277	2	3	3	NUM
fis-1267	277	3	]	]	SYM
fis-1267	277	4	brezzi	brezzi	NOUN
fis-1267	277	5	,	,	PUNCT
fis-1267	277	6	f.	f.	PROPN
fis-1267	277	7	,	,	PUNCT
fis-1267	277	8	fortin	fortin	PROPN
fis-1267	277	9	,	,	PUNCT
fis-1267	277	10	m.	m.	NOUN
fis-1267	277	11	,	,	PUNCT
fis-1267	277	12	mixed	mixed	ADJ
fis-1267	277	13	and	and	CCONJ
fis-1267	277	14	hybrid	hybrid	ADJ
fis-1267	277	15	finite	finite	NOUN
fis-1267	277	16	element	element	NOUN
fis-1267	277	17	methods	method	NOUN
fis-1267	277	18	,	,	PUNCT
fis-1267	277	19	springer	springer	NOUN
fis-1267	277	20	series	series	NOUN
fis-1267	277	21	in	in	ADP
fis-1267	277	22	computational	computational	ADJ
fis-1267	277	23	mathematics	mathematic	NOUN
fis-1267	277	24	.	.	PUNCT
fis-1267	278	1	springer	springer	NOUN
fis-1267	278	2	-	-	PUNCT
fis-1267	278	3	verlag	verlag	PROPN
fis-1267	278	4	,	,	PUNCT
fis-1267	278	5	new	new	PROPN
fis-1267	278	6	york	york	PROPN
fis-1267	278	7	,	,	PUNCT
fis-1267	278	8	15	15	NUM
fis-1267	278	9	(	(	PUNCT
fis-1267	278	10	1991	1991	NUM
fis-1267	278	11	)	)	PUNCT
fis-1267	278	12	.	.	PUNCT
fis-1267	279	1	[	[	X
fis-1267	279	2	4	4	NUM
fis-1267	279	3	]	]	X
fis-1267	279	4	rognes	rogne	NOUN
fis-1267	279	5	,	,	PUNCT
fis-1267	279	6	m.e	m.e	PROPN
fis-1267	279	7	.	.	PROPN
fis-1267	279	8	,	,	PUNCT
fis-1267	279	9	winther	winther	PROPN
fis-1267	279	10	,	,	PUNCT
fis-1267	279	11	r.	r.	PROPN
fis-1267	279	12	,	,	PUNCT
fis-1267	279	13	mixed	mixed	ADJ
fis-1267	279	14	finite	finite	ADJ
fis-1267	279	15	element	element	NOUN
fis-1267	279	16	methods	method	NOUN
fis-1267	279	17	for	for	ADP
fis-1267	279	18	linear	linear	ADJ
fis-1267	279	19	viscoelasticity	viscoelasticity	NOUN
fis-1267	279	20	using	use	VERB
fis-1267	279	21	weak	weak	ADJ
fis-1267	279	22	symmetry	symmetry	NOUN
fis-1267	279	23	'	'	PUNCT
fis-1267	279	24	,	,	PUNCT
fis-1267	279	25	math	math	NOUN
fis-1267	279	26	.	.	PUNCT
fis-1267	280	1	models	model	NOUN
fis-1267	280	2	&	&	CCONJ
fis-1267	280	3	methods	method	NOUN
fis-1267	280	4	in	in	ADP
fis-1267	280	5	applied	applied	ADJ
fis-1267	280	6	sciences	science	NOUN
fis-1267	280	7	,	,	PUNCT
fis-1267	280	8	20(6	20(6	NOUN
fis-1267	280	9	)	)	PUNCT
fis-1267	280	10	(	(	PUNCT
fis-1267	280	11	2010	2010	NUM
fis-1267	280	12	)	)	PUNCT
fis-1267	280	13	955	955	NUM
fis-1267	280	14	-	-	SYM
fis-1267	280	15	985	985	NUM
fis-1267	280	16	.	.	PUNCT
fis-1267	281	1	[	[	X
fis-1267	281	2	5	5	NUM
fis-1267	281	3	]	]	X
fis-1267	281	4	arnold	arnold	PROPN
fis-1267	281	5	,	,	PUNCT
fis-1267	281	6	d.	d.	PROPN
fis-1267	281	7	,	,	PUNCT
fis-1267	281	8	winther	winther	PROPN
fis-1267	281	9	,	,	PUNCT
fis-1267	281	10	r.	r.	PROPN
fis-1267	281	11	,	,	PUNCT
fis-1267	281	12	mixed	mix	VERB
fis-1267	281	13	finite	finite	ADJ
fis-1267	281	14	elements	element	NOUN
fis-1267	281	15	for	for	ADP
fis-1267	281	16	elasticity	elasticity	NOUN
fis-1267	281	17	,	,	PUNCT
fis-1267	281	18	numer	numer	PROPN
fis-1267	281	19	.	.	PROPN
fis-1267	281	20	math	math	PROPN
fis-1267	281	21	.	.	PUNCT
fis-1267	281	22	,	,	PUNCT
fis-1267	281	23	92	92	NUM
fis-1267	281	24	(	(	PUNCT
fis-1267	281	25	2002	2002	NUM
fis-1267	281	26	)	)	PUNCT
fis-1267	281	27	401	401	NUM
fis-1267	281	28	-	-	SYM
fis-1267	281	29	419	419	NUM
fis-1267	281	30	.	.	PUNCT
fis-1267	282	1	[	[	X
fis-1267	282	2	6	6	NUM
fis-1267	282	3	]	]	X
fis-1267	282	4	carstensen	carstensen	NOUN
fis-1267	282	5	,	,	PUNCT
fis-1267	282	6	c.	c.	PROPN
fis-1267	282	7	,	,	PUNCT
fis-1267	282	8	gunther	gunther	PROPN
fis-1267	282	9	,	,	PUNCT
fis-1267	282	10	d.	d.	PROPN
fis-1267	282	11	,	,	PUNCT
fis-1267	282	12	reininghaus	reininghaus	PROPN
fis-1267	282	13	,	,	PUNCT
fis-1267	282	14	j.	j.	PROPN
fis-1267	282	15	,	,	PUNCT
fis-1267	282	16	thiele	thiele	PROPN
fis-1267	282	17	,	,	PUNCT
fis-1267	282	18	j.	j.	PROPN
fis-1267	282	19	,	,	PUNCT
fis-1267	282	20	the	the	DET
fis-1267	282	21	arnold	arnold	PROPN
fis-1267	282	22	-	-	PUNCT
fis-1267	282	23	winther	winther	NOUN
fis-1267	282	24	mixed	mixed	ADJ
fis-1267	282	25	fem	fem	NOUN
fis-1267	282	26	in	in	ADP
fis-1267	282	27	linear	linear	PROPN
fis-1267	282	28	elasticity	elasticity	NOUN
fis-1267	282	29	.	.	PUNCT
fis-1267	283	1	part	part	NOUN
fis-1267	284	1	i	i	PRON
fis-1267	284	2	:	:	PUNCT
fis-1267	284	3	implementation	implementation	NOUN
fis-1267	284	4	and	and	CCONJ
fis-1267	284	5	numerical	numerical	ADJ
fis-1267	284	6	verification	verification	NOUN
fis-1267	284	7	,	,	PUNCT
fis-1267	284	8	computer	computer	NOUN
fis-1267	284	9	methods	method	NOUN
fis-1267	284	10	in	in	ADP
fis-1267	284	11	applied	applied	ADJ
fis-1267	284	12	mechanics	mechanic	NOUN
fis-1267	284	13	and	and	CCONJ
fis-1267	284	14	engineering	engineering	NOUN
fis-1267	284	15	,	,	PUNCT
fis-1267	284	16	197	197	NUM
fis-1267	284	17	(	(	PUNCT
fis-1267	284	18	2008	2008	NUM
fis-1267	284	19	)	)	PUNCT
fis-1267	284	20	3014	3014	NUM
fis-1267	284	21	-	-	SYM
fis-1267	284	22	3023	3023	NUM
fis-1267	284	23	.	.	PUNCT
fis-1267	285	1	[	[	X
fis-1267	285	2	7	7	NUM
fis-1267	285	3	]	]	X
fis-1267	285	4	diaz	diaz	PROPN
fis-1267	285	5	,	,	PUNCT
fis-1267	285	6	a.	a.	PROPN
fis-1267	285	7	,	,	PUNCT
fis-1267	285	8	kikuchi	kikuchi	PROPN
fis-1267	285	9	,	,	PUNCT
fis-1267	285	10	n.	n.	NOUN
fis-1267	285	11	,	,	PUNCT
fis-1267	285	12	solution	solution	NOUN
fis-1267	285	13	to	to	PART
fis-1267	285	14	shape	shape	VERB
fis-1267	285	15	and	and	CCONJ
fis-1267	285	16	topology	topology	NOUN
fis-1267	285	17	eigenvalue	eigenvalue	NOUN
fis-1267	285	18	optimization	optimization	NOUN
fis-1267	285	19	problems	problem	NOUN
fis-1267	285	20	using	use	VERB
fis-1267	285	21	a	a	DET
fis-1267	285	22	homogenization	homogenization	NOUN
fis-1267	285	23	method	method	NOUN
fis-1267	285	24	,	,	PUNCT
fis-1267	285	25	int	int	NOUN
fis-1267	285	26	.	.	PUNCT
fis-1267	286	1	j.	j.	PROPN
fis-1267	286	2	numer	numer	PROPN
fis-1267	286	3	.	.	PUNCT
fis-1267	287	1	methods	method	NOUN
fis-1267	287	2	engrg	engrg	VERB
fis-1267	287	3	.	.	PROPN
fis-1267	288	1	35(3	35(3	NUM
fis-1267	288	2	)	)	PUNCT
fis-1267	288	3	(	(	PUNCT
fis-1267	288	4	1992	1992	NUM
fis-1267	288	5	)	)	PUNCT
fis-1267	289	1	1487–1502	1487–1502	NUM
fis-1267	289	2	.	.	PUNCT
fis-1267	290	1	[	[	X
fis-1267	290	2	8	8	NUM
fis-1267	290	3	]	]	X
fis-1267	290	4	krog	krog	PROPN
fis-1267	290	5	,	,	PUNCT
fis-1267	290	6	l.a	l.a	PROPN
fis-1267	290	7	.	.	PROPN
fis-1267	290	8	,	,	PUNCT
fis-1267	290	9	olhoff	olhoff	PROPN
fis-1267	290	10	,	,	PUNCT
fis-1267	290	11	n.	n.	NOUN
fis-1267	290	12	,	,	PUNCT
fis-1267	290	13	topology	topology	NOUN
fis-1267	290	14	optimization	optimization	NOUN
fis-1267	290	15	of	of	ADP
fis-1267	290	16	plate	plate	NOUN
fis-1267	290	17	and	and	CCONJ
fis-1267	290	18	shell	shell	ADJ
fis-1267	290	19	structures	structure	NOUN
fis-1267	290	20	with	with	ADP
fis-1267	290	21	multiple	multiple	ADJ
fis-1267	290	22	eigenfrequencies	eigenfrequencie	NOUN
fis-1267	290	23	,	,	PUNCT
fis-1267	290	24	in	in	ADP
fis-1267	290	25	:	:	PUNCT
fis-1267	290	26	n.	n.	NOUN
fis-1267	290	27	olhoff	olhoff	PROPN
fis-1267	290	28	,	,	PUNCT
fis-1267	290	29	g.i.n	g.i.n	INTJ
fis-1267	290	30	.	.	PUNCT
fis-1267	290	31	rozvany	rozvany	PROPN
fis-1267	290	32	,	,	PUNCT
fis-1267	290	33	proceed	proceed	VERB
fis-1267	290	34	.	.	PUNCT
fis-1267	291	1	wcsmo-1	wcsmo-1	ADP
fis-1267	291	2	first	first	ADJ
fis-1267	291	3	world	world	PROPN
fis-1267	291	4	congress	congress	PROPN
fis-1267	291	5	of	of	ADP
fis-1267	291	6	structural	structural	ADJ
fis-1267	291	7	and	and	CCONJ
fis-1267	291	8	multidisciplinary	multidisciplinary	ADJ
fis-1267	291	9	optimization	optimization	NOUN
fis-1267	291	10	,	,	PUNCT
fis-1267	291	11	675–682	675–682	NUM
fis-1267	291	12	,	,	PUNCT
fis-1267	291	13	(	(	PUNCT
fis-1267	291	14	1995	1995	NUM
fis-1267	291	15	)	)	PUNCT
fis-1267	291	16	.	.	PUNCT
fis-1267	292	1	[	[	X
fis-1267	292	2	9	9	NUM
fis-1267	292	3	]	]	X
fis-1267	292	4	pedersen	pedersen	PROPN
fis-1267	292	5	,	,	PUNCT
fis-1267	292	6	n.l	n.l	PROPN
fis-1267	292	7	.	.	PROPN
fis-1267	292	8	,	,	PUNCT
fis-1267	292	9	maximization	maximization	NOUN
fis-1267	292	10	of	of	ADP
fis-1267	292	11	eigenvalue	eigenvalue	PROPN
fis-1267	292	12	using	use	VERB
fis-1267	292	13	topology	topology	NOUN
fis-1267	292	14	optimization	optimization	NOUN
fis-1267	292	15	,	,	PUNCT
fis-1267	292	16	struct	struct	NOUN
fis-1267	292	17	.	.	PUNCT
fis-1267	293	1	multidiscip	multidiscip	NOUN
fis-1267	293	2	.	.	PUNCT
fis-1267	294	1	optim	optim	ADJ
fis-1267	294	2	.	.	PUNCT
fis-1267	295	1	20	20	NUM
fis-1267	295	2	(	(	PUNCT
fis-1267	295	3	2000	2000	NUM
fis-1267	295	4	)	)	PUNCT
fis-1267	295	5	2–11	2–11	NOUN
fis-1267	295	6	.	.	PUNCT
fis-1267	296	1	[	[	X
fis-1267	296	2	10	10	NUM
fis-1267	296	3	]	]	X
fis-1267	296	4	johnson	johnson	PROPN
fis-1267	296	5	c.	c.	PROPN
fis-1267	296	6	,	,	PUNCT
fis-1267	296	7	mercier	mercier	PROPN
fis-1267	296	8	,	,	PUNCT
fis-1267	296	9	b.	b.	PROPN
fis-1267	296	10	,	,	PUNCT
fis-1267	296	11	some	some	DET
fis-1267	296	12	equilibrium	equilibrium	NOUN
fis-1267	296	13	finite	finite	ADJ
fis-1267	296	14	elements	element	NOUN
fis-1267	296	15	methods	method	NOUN
fis-1267	296	16	for	for	ADP
fis-1267	296	17	two	two	NUM
fis-1267	296	18	dimensional	dimensional	ADJ
fis-1267	296	19	elasticity	elasticity	NOUN
fis-1267	296	20	problems	problem	NOUN
fis-1267	296	21	,	,	PUNCT
fis-1267	296	22	numer	numer	PROPN
fis-1267	296	23	.	.	PROPN
fis-1267	296	24	math	math	PROPN
fis-1267	296	25	.	.	PUNCT
fis-1267	297	1	,	,	PUNCT
fis-1267	297	2	30	30	NUM
fis-1267	297	3	(	(	PUNCT
fis-1267	297	4	1978	1978	NUM
fis-1267	297	5	)	)	PUNCT
fis-1267	297	6	103–116	103–116	NUM
fis-1267	297	7	.	.	PUNCT
fis-1267	298	1	[	[	X
fis-1267	298	2	11	11	NUM
fis-1267	298	3	]	]	SYM
fis-1267	298	4	bruggi	bruggi	PROPN
fis-1267	298	5	,	,	PUNCT
fis-1267	298	6	m.	m.	NOUN
fis-1267	298	7	,	,	PUNCT
fis-1267	298	8	venini	venini	NOUN
fis-1267	298	9	,	,	PUNCT
fis-1267	298	10	p.	p.	NOUN
fis-1267	298	11	,	,	PUNCT
fis-1267	298	12	a	a	DET
fis-1267	298	13	mixed	mixed	ADJ
fis-1267	298	14	fem	fem	NOUN
fis-1267	298	15	approach	approach	NOUN
fis-1267	298	16	to	to	ADP
fis-1267	298	17	stress	stress	NOUN
fis-1267	298	18	-	-	PUNCT
fis-1267	298	19	constrained	constrain	VERB
fis-1267	298	20	topology	topology	NOUN
fis-1267	298	21	optimization	optimization	NOUN
fis-1267	298	22	,	,	PUNCT
fis-1267	298	23	int	int	NOUN
fis-1267	298	24	.	.	PUNCT
fis-1267	299	1	j.	j.	PROPN
fis-1267	299	2	numer	numer	PROPN
fis-1267	299	3	.	.	PUNCT
fis-1267	300	1	methods	method	NOUN
fis-1267	300	2	engrg	engrg	VERB
fis-1267	300	3	.	.	PROPN
fis-1267	300	4	,	,	PUNCT
fis-1267	300	5	73	73	NUM
fis-1267	300	6	(	(	PUNCT
fis-1267	300	7	2008	2008	NUM
fis-1267	300	8	)	)	PUNCT
fis-1267	300	9	1693–1714	1693–1714	NUM
fis-1267	300	10	.	.	PUNCT