id	sid	tid	token	lemma	pos
app01-10202	1	1	acta	acta	PROPN
app01-10202	1	2	polytechnica	polytechnica	PROPN
app01-10202	1	3	ctu	ctu	PROPN
app01-10202	1	4	proceedings	proceeding	NOUN
app01-10202	1	5	https://doi.org/10.14311/app.2024.49.0013	https://doi.org/10.14311/app.2024.49.0013	PROPN
app01-10202	1	6	acta	acta	PROPN
app01-10202	1	7	polytechnica	polytechnica	PROPN
app01-10202	1	8	ctu	ctu	PROPN
app01-10202	1	9	proceedings	proceedings	PROPN
app01-10202	1	10	49:13–19	49:13–19	PROPN
app01-10202	1	11	,	,	PUNCT
app01-10202	1	12	2024	2024	NUM
app01-10202	1	13	©	©	ADP
app01-10202	1	14	2024	2024	NUM
app01-10202	1	15	the	the	DET
app01-10202	1	16	author(s	author(s	NOUN
app01-10202	1	17	)	)	PUNCT
app01-10202	1	18	.	.	PUNCT
app01-10202	2	1	licensed	license	VERB
app01-10202	2	2	under	under	ADP
app01-10202	2	3	a	a	DET
app01-10202	2	4	cc	cc	NOUN
app01-10202	2	5	-	-	PUNCT
app01-10202	2	6	by	by	ADP
app01-10202	2	7	4.0	4.0	NUM
app01-10202	2	8	licence	licence	NOUN
app01-10202	2	9	published	publish	VERB
app01-10202	2	10	by	by	ADP
app01-10202	2	11	the	the	DET
app01-10202	2	12	czech	czech	PROPN
app01-10202	2	13	technical	technical	PROPN
app01-10202	2	14	university	university	PROPN
app01-10202	2	15	in	in	ADP
app01-10202	2	16	prague	prague	NOUN
app01-10202	2	17	fractional	fractional	ADJ
app01-10202	2	18	order	order	NOUN
app01-10202	2	19	models	model	NOUN
app01-10202	2	20	of	of	ADP
app01-10202	2	21	viscoelastic	viscoelastic	ADJ
app01-10202	2	22	polymeric	polymeric	ADJ
app01-10202	2	23	solids	solid	NOUN
app01-10202	2	24	undergoing	undergo	VERB
app01-10202	2	25	large	large	ADJ
app01-10202	2	26	deformations	deformation	NOUN
app01-10202	2	27	barbora	barbora	NOUN
app01-10202	2	28	hálkováa,∗	hálkováa,∗	NOUN
app01-10202	2	29	,	,	PUNCT
app01-10202	2	30	michal	michal	PROPN
app01-10202	2	31	benešb	benešb	AUX
app01-10202	2	32	a	a	DET
app01-10202	2	33	czech	czech	PROPN
app01-10202	2	34	technical	technical	PROPN
app01-10202	2	35	university	university	PROPN
app01-10202	2	36	in	in	ADP
app01-10202	2	37	prague	prague	PROPN
app01-10202	2	38	,	,	PUNCT
app01-10202	2	39	faculty	faculty	NOUN
app01-10202	2	40	of	of	ADP
app01-10202	2	41	civil	civil	ADJ
app01-10202	2	42	engineering	engineering	NOUN
app01-10202	2	43	,	,	PUNCT
app01-10202	2	44	department	department	NOUN
app01-10202	2	45	of	of	ADP
app01-10202	2	46	mechanics	mechanic	NOUN
app01-10202	2	47	,	,	PUNCT
app01-10202	2	48	thákurova	thákurova	X
app01-10202	2	49	7	7	NUM
app01-10202	2	50	,	,	PUNCT
app01-10202	2	51	166	166	NUM
app01-10202	2	52	29	29	NUM
app01-10202	2	53	prague	prague	NOUN
app01-10202	2	54	,	,	PUNCT
app01-10202	2	55	czech	czech	PROPN
app01-10202	2	56	republic	republic	PROPN
app01-10202	2	57	b	b	PROPN
app01-10202	2	58	czech	czech	PROPN
app01-10202	2	59	technical	technical	PROPN
app01-10202	2	60	university	university	PROPN
app01-10202	2	61	in	in	ADP
app01-10202	2	62	prague	prague	PROPN
app01-10202	2	63	,	,	PUNCT
app01-10202	2	64	faculty	faculty	NOUN
app01-10202	2	65	of	of	ADP
app01-10202	2	66	civil	civil	ADJ
app01-10202	2	67	engineering	engineering	NOUN
app01-10202	2	68	,	,	PUNCT
app01-10202	2	69	department	department	NOUN
app01-10202	2	70	of	of	ADP
app01-10202	2	71	mathematics	mathematic	NOUN
app01-10202	2	72	,	,	PUNCT
app01-10202	2	73	thákurova	thákurova	X
app01-10202	2	74	7	7	NUM
app01-10202	2	75	,	,	PUNCT
app01-10202	2	76	166	166	NUM
app01-10202	2	77	29	29	NUM
app01-10202	2	78	prague	prague	NOUN
app01-10202	2	79	,	,	PUNCT
app01-10202	2	80	czech	czech	PROPN
app01-10202	2	81	republic	republic	NOUN
app01-10202	2	82	∗	∗	NOUN
app01-10202	2	83	corresponding	correspond	VERB
app01-10202	2	84	author	author	NOUN
app01-10202	2	85	:	:	PUNCT
app01-10202	2	86	barbora.halkova@fsv.cvut.cz	barbora.halkova@fsv.cvut.cz	NOUN
app01-10202	2	87	abstract	abstract	ADJ
app01-10202	2	88	.	.	PUNCT
app01-10202	3	1	we	we	PRON
app01-10202	3	2	present	present	VERB
app01-10202	3	3	a	a	DET
app01-10202	3	4	fractional	fractional	ADJ
app01-10202	3	5	order	order	NOUN
app01-10202	3	6	model	model	NOUN
app01-10202	3	7	for	for	ADP
app01-10202	3	8	nonlinear	nonlinear	ADJ
app01-10202	3	9	visco	visco	ADJ
app01-10202	3	10	-	-	ADJ
app01-10202	3	11	hyperelastic	hyperelastic	ADJ
app01-10202	3	12	solids	solid	NOUN
app01-10202	3	13	taking	take	VERB
app01-10202	3	14	into	into	ADP
app01-10202	3	15	account	account	NOUN
app01-10202	3	16	large	large	ADJ
app01-10202	3	17	deformations	deformation	NOUN
app01-10202	3	18	.	.	PUNCT
app01-10202	4	1	a	a	DET
app01-10202	4	2	three	three	NUM
app01-10202	4	3	-	-	PUNCT
app01-10202	4	4	field	field	NOUN
app01-10202	4	5	form	form	NOUN
app01-10202	4	6	of	of	ADP
app01-10202	4	7	the	the	DET
app01-10202	4	8	hu	hu	PROPN
app01-10202	4	9	-	-	PUNCT
app01-10202	4	10	washizu	washizu	NOUN
app01-10202	4	11	principle	principle	NOUN
app01-10202	4	12	is	be	AUX
app01-10202	4	13	introduced	introduce	VERB
app01-10202	4	14	to	to	PART
app01-10202	4	15	create	create	VERB
app01-10202	4	16	a	a	DET
app01-10202	4	17	stable	stable	ADJ
app01-10202	4	18	finite	finite	NOUN
app01-10202	4	19	element	element	NOUN
app01-10202	4	20	method	method	NOUN
app01-10202	4	21	in	in	ADP
app01-10202	4	22	the	the	DET
app01-10202	4	23	context	context	NOUN
app01-10202	4	24	of	of	ADP
app01-10202	4	25	nearly	nearly	ADV
app01-10202	4	26	incompressible	incompressible	ADJ
app01-10202	4	27	dynamics	dynamic	NOUN
app01-10202	4	28	.	.	PUNCT
app01-10202	5	1	the	the	DET
app01-10202	5	2	β	β	NOUN
app01-10202	5	3	-	-	NOUN
app01-10202	5	4	method	method	NOUN
app01-10202	5	5	(	(	PUNCT
app01-10202	5	6	a	a	DET
app01-10202	5	7	generalized	generalized	ADJ
app01-10202	5	8	midpoint	midpoint	NOUN
app01-10202	5	9	rule	rule	NOUN
app01-10202	5	10	)	)	PUNCT
app01-10202	5	11	for	for	ADP
app01-10202	5	12	time	time	NOUN
app01-10202	5	13	discretization	discretization	NOUN
app01-10202	5	14	is	be	AUX
app01-10202	5	15	implemented	implement	VERB
app01-10202	5	16	into	into	ADP
app01-10202	5	17	a	a	DET
app01-10202	5	18	variational	variational	ADJ
app01-10202	5	19	finite	finite	NOUN
app01-10202	5	20	element	element	NOUN
app01-10202	5	21	framework	framework	NOUN
app01-10202	5	22	for	for	ADP
app01-10202	5	23	efficient	efficient	ADJ
app01-10202	5	24	computing	computing	NOUN
app01-10202	5	25	of	of	ADP
app01-10202	5	26	numerical	numerical	ADJ
app01-10202	5	27	approximations	approximation	NOUN
app01-10202	5	28	to	to	ADP
app01-10202	5	29	the	the	DET
app01-10202	5	30	initial	initial	ADJ
app01-10202	5	31	boundary	boundary	ADJ
app01-10202	5	32	-	-	PUNCT
app01-10202	5	33	value	value	NOUN
app01-10202	5	34	problem	problem	NOUN
app01-10202	5	35	for	for	ADP
app01-10202	5	36	hyperbolic	hyperbolic	ADJ
app01-10202	5	37	equation	equation	NOUN
app01-10202	5	38	of	of	ADP
app01-10202	5	39	motion	motion	NOUN
app01-10202	5	40	.	.	PUNCT
app01-10202	6	1	finally	finally	ADV
app01-10202	6	2	,	,	PUNCT
app01-10202	6	3	a	a	DET
app01-10202	6	4	2	2	NUM
app01-10202	6	5	-	-	PUNCT
app01-10202	6	6	d	d	NOUN
app01-10202	6	7	cantilever	cantilever	NOUN
app01-10202	6	8	beam	beam	NOUN
app01-10202	6	9	problem	problem	NOUN
app01-10202	6	10	with	with	ADP
app01-10202	6	11	a	a	DET
app01-10202	6	12	step	step	NOUN
app01-10202	6	13	end	end	NOUN
app01-10202	6	14	load	load	NOUN
app01-10202	6	15	is	be	AUX
app01-10202	6	16	considered	consider	VERB
app01-10202	6	17	in	in	ADP
app01-10202	6	18	order	order	NOUN
app01-10202	6	19	to	to	PART
app01-10202	6	20	demonstrate	demonstrate	VERB
app01-10202	6	21	the	the	DET
app01-10202	6	22	algorithm	algorithm	NOUN
app01-10202	6	23	.	.	PUNCT
app01-10202	7	1	keywords	keyword	NOUN
app01-10202	7	2	:	:	PUNCT
app01-10202	7	3	fractional	fractional	ADJ
app01-10202	7	4	viscoelasticity	viscoelasticity	NOUN
app01-10202	7	5	,	,	PUNCT
app01-10202	7	6	large	large	ADJ
app01-10202	7	7	deformations	deformation	NOUN
app01-10202	7	8	,	,	PUNCT
app01-10202	7	9	springpot	springpot	NOUN
app01-10202	7	10	,	,	PUNCT
app01-10202	7	11	fractional	fractional	ADJ
app01-10202	7	12	calculus	calculus	NOUN
app01-10202	7	13	,	,	PUNCT
app01-10202	7	14	finite	finite	NOUN
app01-10202	7	15	element	element	NOUN
app01-10202	7	16	,	,	PUNCT
app01-10202	7	17	integration	integration	NOUN
app01-10202	7	18	algorithm	algorithm	NOUN
app01-10202	7	19	.	.	PUNCT
app01-10202	8	1	1	1	X
app01-10202	8	2	.	.	X
app01-10202	8	3	introduction	introduction	NOUN
app01-10202	8	4	many	many	ADJ
app01-10202	8	5	polymers	polymer	NOUN
app01-10202	8	6	exhibit	exhibit	VERB
app01-10202	8	7	time	time	NOUN
app01-10202	8	8	dependent	dependent	ADJ
app01-10202	8	9	behavior	behavior	NOUN
app01-10202	8	10	somewhere	somewhere	ADV
app01-10202	8	11	between	between	ADP
app01-10202	8	12	purely	purely	ADV
app01-10202	8	13	elastic	elastic	ADJ
app01-10202	8	14	and	and	CCONJ
app01-10202	8	15	purely	purely	ADV
app01-10202	8	16	viscous	viscous	ADJ
app01-10202	8	17	materials	material	NOUN
app01-10202	8	18	.	.	PUNCT
app01-10202	9	1	as	as	ADP
app01-10202	9	2	a	a	DET
app01-10202	9	3	result	result	NOUN
app01-10202	9	4	,	,	PUNCT
app01-10202	9	5	a	a	DET
app01-10202	9	6	large	large	ADJ
app01-10202	9	7	number	number	NOUN
app01-10202	9	8	of	of	ADP
app01-10202	9	9	kelvin	kelvin	PROPN
app01-10202	9	10	-	-	PUNCT
app01-10202	9	11	voigt	voigt	PROPN
app01-10202	9	12	or	or	CCONJ
app01-10202	9	13	maxwell	maxwell	PROPN
app01-10202	9	14	elements	element	NOUN
app01-10202	9	15	(	(	PUNCT
app01-10202	9	16	and	and	CCONJ
app01-10202	9	17	thus	thus	ADV
app01-10202	9	18	a	a	DET
app01-10202	9	19	large	large	ADJ
app01-10202	9	20	number	number	NOUN
app01-10202	9	21	of	of	ADP
app01-10202	9	22	material	material	NOUN
app01-10202	9	23	parameters	parameter	NOUN
app01-10202	9	24	)	)	PUNCT
app01-10202	9	25	are	be	AUX
app01-10202	9	26	needed	need	VERB
app01-10202	9	27	to	to	PART
app01-10202	9	28	be	be	AUX
app01-10202	9	29	identified	identify	VERB
app01-10202	9	30	from	from	ADP
app01-10202	9	31	experimental	experimental	ADJ
app01-10202	9	32	data	datum	NOUN
app01-10202	9	33	to	to	PART
app01-10202	9	34	obtain	obtain	VERB
app01-10202	9	35	a	a	DET
app01-10202	9	36	reasonably	reasonably	ADV
app01-10202	9	37	accurate	accurate	ADJ
app01-10202	9	38	description	description	NOUN
app01-10202	9	39	of	of	ADP
app01-10202	9	40	mechanical	mechanical	ADJ
app01-10202	9	41	response	response	NOUN
app01-10202	9	42	.	.	PUNCT
app01-10202	10	1	on	on	ADP
app01-10202	10	2	the	the	DET
app01-10202	10	3	other	other	ADJ
app01-10202	10	4	hand	hand	NOUN
app01-10202	10	5	,	,	PUNCT
app01-10202	10	6	a	a	DET
app01-10202	10	7	fractional	fractional	ADJ
app01-10202	10	8	calculus	calculus	NOUN
app01-10202	10	9	,	,	PUNCT
app01-10202	10	10	i.e.	i.e.	X
app01-10202	10	11	the	the	DET
app01-10202	10	12	theory	theory	NOUN
app01-10202	10	13	of	of	ADP
app01-10202	10	14	derivatives	derivative	NOUN
app01-10202	10	15	and	and	CCONJ
app01-10202	10	16	integrals	integral	NOUN
app01-10202	10	17	of	of	ADP
app01-10202	10	18	non	non	ADJ
app01-10202	10	19	-	-	ADJ
app01-10202	10	20	integer	integer	ADJ
app01-10202	10	21	order	order	NOUN
app01-10202	10	22	,	,	PUNCT
app01-10202	10	23	seems	seem	VERB
app01-10202	10	24	to	to	PART
app01-10202	10	25	be	be	AUX
app01-10202	10	26	an	an	DET
app01-10202	10	27	efficient	efficient	ADJ
app01-10202	10	28	tool	tool	NOUN
app01-10202	10	29	for	for	ADP
app01-10202	10	30	the	the	DET
app01-10202	10	31	theoretical	theoretical	ADJ
app01-10202	10	32	modelling	modelling	NOUN
app01-10202	10	33	of	of	ADP
app01-10202	10	34	viscoelastic	viscoelastic	ADJ
app01-10202	10	35	materials	material	NOUN
app01-10202	10	36	[	[	X
app01-10202	10	37	1	1	NUM
app01-10202	10	38	]	]	PUNCT
app01-10202	10	39	.	.	PUNCT
app01-10202	11	1	theoretical	theoretical	ADJ
app01-10202	11	2	models	model	NOUN
app01-10202	11	3	based	base	VERB
app01-10202	11	4	on	on	ADP
app01-10202	11	5	the	the	DET
app01-10202	11	6	fractional	fractional	ADJ
app01-10202	11	7	calculus	calculus	NOUN
app01-10202	11	8	allows	allow	VERB
app01-10202	11	9	us	we	PRON
app01-10202	11	10	to	to	PART
app01-10202	11	11	describe	describe	VERB
app01-10202	11	12	viscoelastic	viscoelastic	ADJ
app01-10202	11	13	materials	material	NOUN
app01-10202	11	14	with	with	ADP
app01-10202	11	15	significantly	significantly	ADV
app01-10202	11	16	less	less	ADJ
app01-10202	11	17	parameters	parameter	NOUN
app01-10202	11	18	than	than	ADP
app01-10202	11	19	the	the	DET
app01-10202	11	20	standard	standard	ADJ
app01-10202	11	21	approach	approach	NOUN
app01-10202	11	22	.	.	PUNCT
app01-10202	12	1	for	for	ADP
app01-10202	12	2	a	a	DET
app01-10202	12	3	deeper	deep	ADJ
app01-10202	12	4	discussion	discussion	NOUN
app01-10202	12	5	on	on	ADP
app01-10202	12	6	this	this	DET
app01-10202	12	7	issue	issue	NOUN
app01-10202	12	8	we	we	PRON
app01-10202	12	9	refer	refer	VERB
app01-10202	12	10	the	the	DET
app01-10202	12	11	reader	reader	NOUN
app01-10202	12	12	to	to	ADP
app01-10202	12	13	[	[	X
app01-10202	12	14	2	2	NUM
app01-10202	12	15	]	]	PUNCT
app01-10202	12	16	.	.	PUNCT
app01-10202	13	1	the	the	DET
app01-10202	13	2	fractional	fractional	ADJ
app01-10202	13	3	viscoelastic	viscoelastic	NOUN
app01-10202	13	4	model	model	NOUN
app01-10202	13	5	at	at	ADP
app01-10202	13	6	small	small	ADJ
app01-10202	13	7	strains	strain	NOUN
app01-10202	13	8	was	be	AUX
app01-10202	13	9	introduced	introduce	VERB
app01-10202	13	10	e.g.	e.g.	ADV
app01-10202	13	11	in	in	ADP
app01-10202	13	12	[	[	X
app01-10202	13	13	3–7	3–7	NOUN
app01-10202	13	14	]	]	PUNCT
app01-10202	13	15	.	.	PUNCT
app01-10202	14	1	on	on	ADP
app01-10202	14	2	the	the	DET
app01-10202	14	3	other	other	ADJ
app01-10202	14	4	hand	hand	NOUN
app01-10202	14	5	,	,	PUNCT
app01-10202	14	6	although	although	SCONJ
app01-10202	14	7	rubbery	rubbery	ADJ
app01-10202	14	8	polymers	polymer	NOUN
app01-10202	14	9	typically	typically	ADV
app01-10202	14	10	exhibit	exhibit	VERB
app01-10202	14	11	large	large	ADJ
app01-10202	14	12	deformations	deformation	NOUN
app01-10202	14	13	in	in	ADP
app01-10202	14	14	engineering	engineering	NOUN
app01-10202	14	15	applications	application	NOUN
app01-10202	14	16	,	,	PUNCT
app01-10202	14	17	much	much	ADV
app01-10202	14	18	less	less	ADJ
app01-10202	14	19	attention	attention	NOUN
app01-10202	14	20	has	have	AUX
app01-10202	14	21	been	be	AUX
app01-10202	14	22	given	give	VERB
app01-10202	14	23	to	to	ADP
app01-10202	14	24	fractional	fractional	ADJ
app01-10202	14	25	viscoelasticity	viscoelasticity	NOUN
app01-10202	14	26	in	in	ADP
app01-10202	14	27	combination	combination	NOUN
app01-10202	14	28	with	with	ADP
app01-10202	14	29	the	the	DET
app01-10202	14	30	finite	finite	ADJ
app01-10202	14	31	strain	strain	NOUN
app01-10202	14	32	theory	theory	NOUN
app01-10202	14	33	[	[	X
app01-10202	14	34	8	8	NUM
app01-10202	14	35	]	]	PUNCT
app01-10202	14	36	.	.	PUNCT
app01-10202	15	1	the	the	DET
app01-10202	15	2	present	present	ADJ
app01-10202	15	3	work	work	NOUN
app01-10202	15	4	provides	provide	VERB
app01-10202	15	5	a	a	DET
app01-10202	15	6	computational	computational	ADJ
app01-10202	15	7	framework	framework	NOUN
app01-10202	15	8	for	for	ADP
app01-10202	15	9	modelling	model	VERB
app01-10202	15	10	the	the	DET
app01-10202	15	11	fractional	fractional	ADJ
app01-10202	15	12	viscoelastic	viscoelastic	ADJ
app01-10202	15	13	behaviour	behaviour	NOUN
app01-10202	15	14	of	of	ADP
app01-10202	15	15	polymeric	polymeric	ADJ
app01-10202	15	16	solids	solid	NOUN
app01-10202	15	17	at	at	ADP
app01-10202	15	18	finite	finite	PROPN
app01-10202	15	19	strains	strain	NOUN
app01-10202	15	20	in	in	ADP
app01-10202	15	21	the	the	DET
app01-10202	15	22	context	context	NOUN
app01-10202	15	23	of	of	ADP
app01-10202	15	24	nearly	nearly	ADV
app01-10202	15	25	incompressible	incompressible	ADJ
app01-10202	15	26	dynamics	dynamic	NOUN
app01-10202	15	27	.	.	PUNCT
app01-10202	16	1	let	let	VERB
app01-10202	16	2	the	the	DET
app01-10202	16	3	open	open	ADJ
app01-10202	16	4	set	set	NOUN
app01-10202	16	5	ω0	ω0	NOUN
app01-10202	16	6	be	be	AUX
app01-10202	16	7	the	the	DET
app01-10202	16	8	reference	reference	NOUN
app01-10202	16	9	configuration	configuration	NOUN
app01-10202	16	10	of	of	ADP
app01-10202	16	11	a	a	DET
app01-10202	16	12	given	give	VERB
app01-10202	16	13	(	(	PUNCT
app01-10202	16	14	compressible	compressible	ADJ
app01-10202	16	15	or	or	CCONJ
app01-10202	16	16	nearly	nearly	ADV
app01-10202	16	17	incompressible	incompressible	ADJ
app01-10202	16	18	)	)	PUNCT
app01-10202	16	19	body	body	NOUN
app01-10202	16	20	at	at	ADP
app01-10202	16	21	time	time	NOUN
app01-10202	16	22	t0	t0	PROPN
app01-10202	16	23	.	.	PUNCT
app01-10202	17	1	here	here	ADV
app01-10202	17	2	,	,	PUNCT
app01-10202	17	3	ω0	ω0	PROPN
app01-10202	17	4	is	be	AUX
app01-10202	17	5	described	describe	VERB
app01-10202	17	6	by	by	ADP
app01-10202	17	7	a	a	DET
app01-10202	17	8	set	set	NOUN
app01-10202	17	9	of	of	ADP
app01-10202	17	10	continuously	continuously	ADV
app01-10202	17	11	distributed	distribute	VERB
app01-10202	17	12	points	point	NOUN
app01-10202	17	13	x	x	INTJ
app01-10202	17	14	(	(	PUNCT
app01-10202	17	15	particles	particle	NOUN
app01-10202	17	16	or	or	CCONJ
app01-10202	17	17	material	material	NOUN
app01-10202	17	18	points	point	NOUN
app01-10202	17	19	)	)	PUNCT
app01-10202	17	20	which	which	PRON
app01-10202	17	21	occupy	occupy	VERB
app01-10202	17	22	a	a	DET
app01-10202	17	23	region	region	NOUN
app01-10202	17	24	within	within	ADP
app01-10202	17	25	the	the	DET
app01-10202	17	26	euclidean	euclidean	ADJ
app01-10202	17	27	space	space	NOUN
app01-10202	17	28	e3	e3	NOUN
app01-10202	17	29	.	.	PUNCT
app01-10202	18	1	in	in	ADP
app01-10202	18	2	the	the	DET
app01-10202	18	3	absence	absence	NOUN
app01-10202	18	4	of	of	ADP
app01-10202	18	5	displacement	displacement	ADJ
app01-10202	18	6	discontinuities	discontinuity	NOUN
app01-10202	18	7	,	,	PUNCT
app01-10202	18	8	a	a	DET
app01-10202	18	9	one	one	NUM
app01-10202	18	10	-	-	PUNCT
app01-10202	18	11	to	to	ADP
app01-10202	18	12	-	-	PUNCT
app01-10202	18	13	one	one	NUM
app01-10202	18	14	deformation	deformation	NOUN
app01-10202	18	15	map	map	NOUN
app01-10202	18	16	ϕ	ϕ	NOUN
app01-10202	18	17	:	:	PUNCT
app01-10202	18	18	ω0	ω0	PROPN
app01-10202	18	19	×	×	NOUN
app01-10202	19	1	[	[	X
app01-10202	19	2	0	0	NUM
app01-10202	19	3	,	,	PUNCT
app01-10202	19	4	t	t	X
app01-10202	19	5	]	]	PUNCT
app01-10202	19	6	→	→	PUNCT
app01-10202	19	7	e3	e3	NOUN
app01-10202	19	8	describing	describe	VERB
app01-10202	19	9	a	a	DET
app01-10202	19	10	motion	motion	NOUN
app01-10202	19	11	exists	exist	VERB
app01-10202	19	12	,	,	PUNCT
app01-10202	19	13	figure	figure	NOUN
app01-10202	19	14	1	1	NUM
app01-10202	19	15	.	.	PUNCT
app01-10202	19	16	motion	motion	NOUN
app01-10202	19	17	of	of	ADP
app01-10202	19	18	body	body	NOUN
app01-10202	19	19	ω0	ω0	NOUN
app01-10202	19	20	.	.	PUNCT
app01-10202	20	1	such	such	ADJ
app01-10202	20	2	that	that	SCONJ
app01-10202	20	3	any	any	DET
app01-10202	20	4	displaced	displace	VERB
app01-10202	20	5	position	position	NOUN
app01-10202	20	6	at	at	ADP
app01-10202	20	7	a	a	DET
app01-10202	20	8	current	current	ADJ
app01-10202	20	9	time	time	NOUN
app01-10202	20	10	t	t	PROPN
app01-10202	20	11	∈	∈	PROPN
app01-10202	21	1	[	[	X
app01-10202	21	2	0	0	NUM
app01-10202	21	3	,	,	PUNCT
app01-10202	21	4	t	t	X
app01-10202	21	5	]	]	PUNCT
app01-10202	21	6	,	,	PUNCT
app01-10202	22	1	where	where	SCONJ
app01-10202	22	2	[	[	X
app01-10202	22	3	0	0	NUM
app01-10202	22	4	,	,	PUNCT
app01-10202	22	5	t	t	X
app01-10202	22	6	]	]	PUNCT
app01-10202	22	7	⊂	⊂	PROPN
app01-10202	22	8	r+	r+	PUNCT
app01-10202	22	9	denotes	denote	VERB
app01-10202	22	10	the	the	DET
app01-10202	22	11	time	time	NOUN
app01-10202	22	12	of	of	ADP
app01-10202	22	13	interest	interest	NOUN
app01-10202	22	14	,	,	PUNCT
app01-10202	22	15	is	be	AUX
app01-10202	22	16	determined	determine	VERB
app01-10202	22	17	as	as	ADP
app01-10202	22	18	x	x	X
app01-10202	22	19	=	=	SYM
app01-10202	22	20	ϕ(x	ϕ(x	PROPN
app01-10202	22	21	,	,	PUNCT
app01-10202	22	22	t	t	PROPN
app01-10202	22	23	)	)	PUNCT
app01-10202	22	24	with	with	ADP
app01-10202	22	25	the	the	DET
app01-10202	22	26	difference	difference	NOUN
app01-10202	22	27	being	be	AUX
app01-10202	22	28	the	the	DET
app01-10202	22	29	displacement	displacement	ADJ
app01-10202	22	30	field	field	NOUN
app01-10202	22	31	u(x	u(x	NOUN
app01-10202	22	32	,	,	PUNCT
app01-10202	22	33	t	t	NOUN
app01-10202	22	34	)	)	PUNCT
app01-10202	22	35	=	=	PUNCT
app01-10202	23	1	x	x	PUNCT
app01-10202	23	2	−	−	NOUN
app01-10202	23	3	x.	x.	NOUN
app01-10202	23	4	here	here	ADV
app01-10202	23	5	,	,	PUNCT
app01-10202	23	6	the	the	DET
app01-10202	23	7	position	position	NOUN
app01-10202	23	8	vector	vector	NOUN
app01-10202	23	9	x	x	PUNCT
app01-10202	23	10	=	=	SYM
app01-10202	23	11	(	(	PUNCT
app01-10202	23	12	x1	x1	PROPN
app01-10202	23	13	,	,	PUNCT
app01-10202	23	14	x2	x2	PROPN
app01-10202	23	15	,	,	PUNCT
app01-10202	23	16	x3	x3	ADJ
app01-10202	23	17	)	)	PUNCT
app01-10202	23	18	represents	represent	VERB
app01-10202	23	19	the	the	DET
app01-10202	23	20	particle	particle	NOUN
app01-10202	23	21	x	x	PUNCT
app01-10202	23	22	in	in	ADP
app01-10202	23	23	the	the	DET
app01-10202	23	24	reference	reference	NOUN
app01-10202	23	25	configuration	configuration	NOUN
app01-10202	23	26	ω0	ω0	NOUN
app01-10202	23	27	,	,	PUNCT
app01-10202	23	28	x	x	SYM
app01-10202	24	1	=	=	PUNCT
app01-10202	24	2	x1e1	x1e1	X
app01-10202	25	1	+	+	ADJ
app01-10202	25	2	x2e2	x2e2	PROPN
app01-10202	25	3	+	+	ADJ
app01-10202	25	4	x3e3	x3e3	PROPN
app01-10202	25	5	,	,	PUNCT
app01-10202	25	6	where	where	SCONJ
app01-10202	25	7	(	(	PUNCT
app01-10202	25	8	e1,e2,e3	e1,e2,e3	ADJ
app01-10202	25	9	)	)	PUNCT
app01-10202	25	10	defines	define	VERB
app01-10202	25	11	an	an	DET
app01-10202	25	12	orthogonal	orthogonal	ADJ
app01-10202	25	13	base	base	NOUN
app01-10202	25	14	system	system	NOUN
app01-10202	25	15	with	with	ADP
app01-10202	25	16	origin	origin	NOUN
app01-10202	25	17	0	0	NUM
app01-10202	25	18	.	.	PUNCT
app01-10202	26	1	hence	hence	ADV
app01-10202	26	2	,	,	PUNCT
app01-10202	26	3	we	we	PRON
app01-10202	26	4	have	have	VERB
app01-10202	26	5	x	x	NOUN
app01-10202	26	6	=	=	SYM
app01-10202	26	7	ϕ(x	ϕ(x	PROPN
app01-10202	26	8	,	,	PUNCT
app01-10202	26	9	t	t	PROPN
app01-10202	26	10	)	)	PUNCT
app01-10202	26	11	=	=	PUNCT
app01-10202	27	1	x	x	PUNCT
app01-10202	27	2	+	+	NUM
app01-10202	27	3	u(x	u(x	PROPN
app01-10202	27	4	,	,	PUNCT
app01-10202	27	5	t	t	PROPN
app01-10202	27	6	)	)	PUNCT
app01-10202	27	7	,	,	PUNCT
app01-10202	27	8	see	see	VERB
app01-10202	27	9	figure	figure	NOUN
app01-10202	27	10	1	1	NUM
app01-10202	27	11	.	.	PUNCT
app01-10202	28	1	the	the	DET
app01-10202	28	2	deformation	deformation	NOUN
app01-10202	28	3	gradient	gradient	NOUN
app01-10202	28	4	f	f	PROPN
app01-10202	28	5	(	(	PUNCT
app01-10202	28	6	x	x	PROPN
app01-10202	28	7	,	,	PUNCT
app01-10202	28	8	t	t	PROPN
app01-10202	28	9	)	)	PUNCT
app01-10202	28	10	is	be	AUX
app01-10202	28	11	obtained	obtain	VERB
app01-10202	28	12	as	as	ADP
app01-10202	28	13	the	the	DET
app01-10202	28	14	gradient	gradient	NOUN
app01-10202	28	15	of	of	ADP
app01-10202	28	16	this	this	DET
app01-10202	28	17	deformation	deformation	NOUN
app01-10202	28	18	map	map	NOUN
app01-10202	28	19	f	f	PROPN
app01-10202	28	20	=	=	SYM
app01-10202	28	21	∇0ϕ	∇0ϕ	PROPN
app01-10202	28	22	,	,	PUNCT
app01-10202	28	23	where	where	SCONJ
app01-10202	28	24	∇0	∇0	VERB
app01-10202	28	25	is	be	AUX
app01-10202	28	26	the	the	DET
app01-10202	28	27	gradient	gradient	NOUN
app01-10202	28	28	with	with	ADP
app01-10202	28	29	respect	respect	NOUN
app01-10202	28	30	to	to	ADP
app01-10202	28	31	x	x	PRON
app01-10202	28	32	,	,	PUNCT
app01-10202	28	33	and	and	CCONJ
app01-10202	28	34	the	the	DET
app01-10202	28	35	jacobian	jacobian	NOUN
app01-10202	28	36	of	of	ADP
app01-10202	28	37	the	the	DET
app01-10202	28	38	deformation	deformation	NOUN
app01-10202	28	39	map	map	NOUN
app01-10202	28	40	is	be	AUX
app01-10202	28	41	given	give	VERB
app01-10202	28	42	by	by	ADP
app01-10202	28	43	j(x	j(x	PROPN
app01-10202	28	44	,	,	PUNCT
app01-10202	28	45	t	t	PROPN
app01-10202	28	46	)	)	PUNCT
app01-10202	28	47	=	=	SYM
app01-10202	28	48	det	det	PROPN
app01-10202	28	49	f	f	PROPN
app01-10202	28	50	.	.	PUNCT
app01-10202	29	1	we	we	PRON
app01-10202	29	2	also	also	ADV
app01-10202	29	3	define	define	VERB
app01-10202	29	4	the	the	DET
app01-10202	29	5	right	right	ADJ
app01-10202	29	6	cauchy	cauchy	PROPN
app01-10202	29	7	-	-	PUNCT
app01-10202	29	8	green	green	ADJ
app01-10202	29	9	deformation	deformation	NOUN
app01-10202	29	10	tensors	tensor	NOUN
app01-10202	29	11	c(x	c(x	PROPN
app01-10202	29	12	,	,	PUNCT
app01-10202	29	13	t	t	PROPN
app01-10202	29	14	)	)	PUNCT
app01-10202	29	15	=	=	PUNCT
app01-10202	30	1	f	f	X
app01-10202	30	2	t	t	PROPN
app01-10202	30	3	f	f	PROPN
app01-10202	30	4	.	.	PUNCT
app01-10202	31	1	let	let	VERB
app01-10202	31	2	ω0	ω0	ADV
app01-10202	31	3	be	be	AUX
app01-10202	31	4	the	the	DET
app01-10202	31	5	reference	reference	NOUN
app01-10202	31	6	configuration	configuration	NOUN
app01-10202	31	7	of	of	ADP
app01-10202	31	8	the	the	DET
app01-10202	31	9	body	body	NOUN
app01-10202	31	10	of	of	ADP
app01-10202	31	11	interest	interest	NOUN
app01-10202	31	12	with	with	ADP
app01-10202	31	13	the	the	DET
app01-10202	31	14	boundary	boundary	ADJ
app01-10202	31	15	∂ω0	∂ω0	PROPN
app01-10202	31	16	and	and	CCONJ
app01-10202	31	17	t	t	PROPN
app01-10202	31	18	>	>	X
app01-10202	31	19	0	0	PUNCT
app01-10202	31	20	be	be	AUX
app01-10202	31	21	the	the	DET
app01-10202	31	22	time	time	NOUN
app01-10202	31	23	horizon	horizon	NOUN
app01-10202	31	24	.	.	PUNCT
app01-10202	32	1	let	let	VERB
app01-10202	32	2	∂ωu	∂ωu	NOUN
app01-10202	32	3	,	,	PUNCT
app01-10202	32	4	∂ωp	∂ωp	PROPN
app01-10202	32	5	be	be	AUX
app01-10202	32	6	smooth	smooth	ADJ
app01-10202	32	7	open	open	ADJ
app01-10202	32	8	disjoint	disjoint	NOUN
app01-10202	32	9	subsets	subset	NOUN
app01-10202	32	10	of	of	ADP
app01-10202	32	11	∂ω0	∂ω0	PROPN
app01-10202	33	1	such	such	ADJ
app01-10202	33	2	that	that	SCONJ
app01-10202	33	3	∂ω0	∂ω0	PROPN
app01-10202	33	4	=	=	PUNCT
app01-10202	33	5	∂ωu	∂ωu	NOUN
app01-10202	33	6	∪	∪	ADJ
app01-10202	33	7	∂ωp	∂ωp	PROPN
app01-10202	33	8	,	,	PUNCT
app01-10202	33	9	∂ωu	∂ωu	VERB
app01-10202	33	10	̸=	̸=	PROPN
app01-10202	33	11	∅	∅	ADP
app01-10202	33	12	13	13	NUM
app01-10202	33	13	https://doi.org/10.14311/app.2024.49.0013	https://doi.org/10.14311/app.2024.49.0013	PROPN
app01-10202	33	14	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-10202	33	15	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-10202	33	16	barbora	barbora	PROPN
app01-10202	33	17	hálková	hálková	PROPN
app01-10202	33	18	,	,	PUNCT
app01-10202	33	19	michal	michal	PROPN
app01-10202	33	20	beneš	beneš	PROPN
app01-10202	33	21	acta	acta	PROPN
app01-10202	33	22	polytechnica	polytechnica	PROPN
app01-10202	33	23	ctu	ctu	NOUN
app01-10202	33	24	proceedings	proceeding	NOUN
app01-10202	33	25	and	and	CCONJ
app01-10202	33	26	∂ωu	∂ωu	VERB
app01-10202	33	27	∩∂ωp	∩∂ωp	NOUN
app01-10202	33	28	=	=	PUNCT
app01-10202	33	29	∅.	∅.	NOUN
app01-10202	33	30	let	let	VERB
app01-10202	33	31	f0	f0	PROPN
app01-10202	33	32	be	be	AUX
app01-10202	33	33	the	the	DET
app01-10202	33	34	body	body	NOUN
app01-10202	33	35	force	force	NOUN
app01-10202	33	36	per	per	ADP
app01-10202	33	37	unit	unit	NOUN
app01-10202	33	38	of	of	ADP
app01-10202	33	39	mass	mass	PROPN
app01-10202	33	40	,	,	PUNCT
app01-10202	33	41	a	a	DET
app01-10202	33	42	given	give	VERB
app01-10202	33	43	vector	vector	NOUN
app01-10202	33	44	field	field	NOUN
app01-10202	33	45	defined	define	VERB
app01-10202	33	46	on	on	ADP
app01-10202	33	47	ω0	ω0	NUM
app01-10202	33	48	×	×	NOUN
app01-10202	33	49	(	(	PUNCT
app01-10202	33	50	0	0	NUM
app01-10202	33	51	,	,	PUNCT
app01-10202	33	52	t	t	NOUN
app01-10202	33	53	)	)	PUNCT
app01-10202	33	54	,	,	PUNCT
app01-10202	33	55	u0	u0	ADJ
app01-10202	33	56	and	and	CCONJ
app01-10202	33	57	v0	v0	NOUN
app01-10202	33	58	:	:	PUNCT
app01-10202	33	59	ω0	ω0	PROPN
app01-10202	33	60	→	→	SYM
app01-10202	33	61	r3	r3	PROPN
app01-10202	33	62	be	be	VERB
app01-10202	33	63	the	the	DET
app01-10202	33	64	prescribed	prescribed	ADJ
app01-10202	33	65	initial	initial	ADJ
app01-10202	33	66	position	position	NOUN
app01-10202	33	67	and	and	CCONJ
app01-10202	33	68	velocity	velocity	NOUN
app01-10202	33	69	.	.	PUNCT
app01-10202	34	1	further	far	ADV
app01-10202	34	2	,	,	PUNCT
app01-10202	34	3	let	let	VERB
app01-10202	34	4	t̆0	t̆0	PRON
app01-10202	34	5	be	be	AUX
app01-10202	34	6	the	the	DET
app01-10202	34	7	given	give	VERB
app01-10202	34	8	traction	traction	NOUN
app01-10202	34	9	prescribed	prescribe	VERB
app01-10202	34	10	on	on	ADP
app01-10202	34	11	∂ωp	∂ωp	PROPN
app01-10202	34	12	×	×	NOUN
app01-10202	34	13	(	(	PUNCT
app01-10202	34	14	0	0	NUM
app01-10202	34	15	,	,	PUNCT
app01-10202	34	16	t	t	PROPN
app01-10202	34	17	)	)	PUNCT
app01-10202	34	18	and	and	CCONJ
app01-10202	34	19	let	let	VERB
app01-10202	34	20	the	the	DET
app01-10202	34	21	displacement	displacement	NOUN
app01-10202	34	22	ŭ0	ŭ0	PUNCT
app01-10202	34	23	be	be	AUX
app01-10202	34	24	prescribed	prescribe	VERB
app01-10202	34	25	on	on	ADP
app01-10202	34	26	∂ωu	∂ωu	VERB
app01-10202	34	27	×	×	NOUN
app01-10202	34	28	(	(	PUNCT
app01-10202	34	29	0	0	NUM
app01-10202	34	30	,	,	PUNCT
app01-10202	34	31	t	t	NOUN
app01-10202	34	32	)	)	PUNCT
app01-10202	34	33	.	.	PUNCT
app01-10202	35	1	the	the	DET
app01-10202	35	2	local	local	ADJ
app01-10202	35	3	form	form	NOUN
app01-10202	35	4	of	of	ADP
app01-10202	35	5	the	the	DET
app01-10202	35	6	initial	initial	ADJ
app01-10202	35	7	boundary	boundary	ADJ
app01-10202	35	8	value	value	NOUN
app01-10202	35	9	problem	problem	NOUN
app01-10202	35	10	for	for	ADP
app01-10202	35	11	the	the	DET
app01-10202	35	12	momentum	momentum	NOUN
app01-10202	35	13	equation	equation	NOUN
app01-10202	35	14	is	be	AUX
app01-10202	35	15	given	give	VERB
app01-10202	35	16	by	by	ADP
app01-10202	35	17	the	the	DET
app01-10202	35	18	following	follow	VERB
app01-10202	35	19	system	system	NOUN
app01-10202	35	20	[	[	X
app01-10202	35	21	9	9	NUM
app01-10202	35	22	]	]	SYM
app01-10202	35	23	:	:	PUNCT
app01-10202	35	24	ρ0	ρ0	PROPN
app01-10202	35	25	∂2u	∂2u	PROPN
app01-10202	35	26	∂t2	∂t2	X
app01-10202	35	27	=	=	SYM
app01-10202	35	28	∇0	∇0	X
app01-10202	35	29	·	·	PUNCT
app01-10202	35	30	p	p	X
app01-10202	35	31	+	+	CCONJ
app01-10202	35	32	f0	f0	PROPN
app01-10202	35	33	in	in	ADP
app01-10202	35	34	ω0	ω0	NUM
app01-10202	35	35	×	×	NOUN
app01-10202	35	36	(	(	PUNCT
app01-10202	35	37	0	0	NUM
app01-10202	35	38	,	,	PUNCT
app01-10202	35	39	t	t	NOUN
app01-10202	35	40	)	)	PUNCT
app01-10202	35	41	,	,	PUNCT
app01-10202	35	42	(	(	PUNCT
app01-10202	35	43	1	1	X
app01-10202	35	44	)	)	PUNCT
app01-10202	35	45	u	u	NOUN
app01-10202	35	46	=	=	NOUN
app01-10202	35	47	ŭ0	ŭ0	PUNCT
app01-10202	35	48	in	in	ADP
app01-10202	35	49	∂ωu	∂ωu	PROPN
app01-10202	35	50	×	×	NOUN
app01-10202	35	51	(	(	PUNCT
app01-10202	35	52	0	0	NUM
app01-10202	35	53	,	,	PUNCT
app01-10202	35	54	t	t	NOUN
app01-10202	35	55	)	)	PUNCT
app01-10202	35	56	,	,	PUNCT
app01-10202	35	57	(	(	PUNCT
app01-10202	35	58	2	2	X
app01-10202	35	59	)	)	PUNCT
app01-10202	35	60	p	p	X
app01-10202	35	61	·	·	PUNCT
app01-10202	35	62	n0	n0	NUM
app01-10202	35	63	=	=	NOUN
app01-10202	35	64	t̆0	t̆0	PUNCT
app01-10202	35	65	in	in	ADP
app01-10202	35	66	∂ωp	∂ωp	PROPN
app01-10202	35	67	×	×	NOUN
app01-10202	35	68	(	(	PUNCT
app01-10202	35	69	0	0	NUM
app01-10202	35	70	,	,	PUNCT
app01-10202	35	71	t	t	NOUN
app01-10202	35	72	)	)	PUNCT
app01-10202	35	73	,	,	PUNCT
app01-10202	35	74	(	(	PUNCT
app01-10202	35	75	3	3	X
app01-10202	35	76	)	)	PUNCT
app01-10202	35	77	u	u	NOUN
app01-10202	35	78	(	(	PUNCT
app01-10202	35	79	·	·	PUNCT
app01-10202	35	80	,	,	PUNCT
app01-10202	35	81	0	0	NUM
app01-10202	35	82	)	)	PUNCT
app01-10202	35	83	=	=	PRON
app01-10202	35	84	u0	u0	ADJ
app01-10202	35	85	in	in	ADP
app01-10202	35	86	ω0	ω0	NOUN
app01-10202	35	87	,	,	PUNCT
app01-10202	35	88	(	(	PUNCT
app01-10202	35	89	4	4	X
app01-10202	35	90	)	)	PUNCT
app01-10202	35	91	∂u	∂u	PROPN
app01-10202	35	92	∂t	∂t	PROPN
app01-10202	35	93	(	(	PUNCT
app01-10202	35	94	·	·	PUNCT
app01-10202	35	95	,	,	PUNCT
app01-10202	35	96	0	0	NUM
app01-10202	35	97	)	)	PUNCT
app01-10202	35	98	=	=	SYM
app01-10202	35	99	v0	v0	NOUN
app01-10202	35	100	in	in	ADP
app01-10202	35	101	ω0	ω0	NOUN
app01-10202	35	102	,	,	PUNCT
app01-10202	35	103	(	(	PUNCT
app01-10202	35	104	5	5	NUM
app01-10202	35	105	)	)	PUNCT
app01-10202	35	106	where	where	SCONJ
app01-10202	35	107	n0	n0	PROPN
app01-10202	35	108	is	be	AUX
app01-10202	35	109	the	the	DET
app01-10202	35	110	field	field	NOUN
app01-10202	35	111	normal	normal	ADJ
app01-10202	35	112	to	to	ADP
app01-10202	35	113	∂ωp	∂ωp	PROPN
app01-10202	35	114	,	,	PUNCT
app01-10202	35	115	p	p	X
app01-10202	35	116	=	=	X
app01-10202	35	117	p	p	X
app01-10202	35	118	(	(	PUNCT
app01-10202	35	119	x	x	X
app01-10202	35	120	,	,	PUNCT
app01-10202	35	121	f	f	PROPN
app01-10202	35	122	(	(	PUNCT
app01-10202	35	123	x	x	PROPN
app01-10202	35	124	,	,	PUNCT
app01-10202	35	125	t	t	PROPN
app01-10202	35	126	)	)	PUNCT
app01-10202	35	127	)	)	PUNCT
app01-10202	35	128	is	be	AUX
app01-10202	35	129	the	the	DET
app01-10202	35	130	first	first	ADJ
app01-10202	35	131	piola	piola	PROPN
app01-10202	35	132	-	-	PUNCT
app01-10202	35	133	kirchhoff	kirchhoff	NOUN
app01-10202	35	134	stress	stress	NOUN
app01-10202	35	135	.	.	PUNCT
app01-10202	36	1	2	2	X
app01-10202	36	2	.	.	X
app01-10202	36	3	constitutive	constitutive	ADJ
app01-10202	36	4	relationships	relationship	NOUN
app01-10202	36	5	2.1	2.1	NUM
app01-10202	36	6	.	.	PUNCT
app01-10202	37	1	hyperelastic	hyperelastic	ADJ
app01-10202	37	2	material	material	NOUN
app01-10202	37	3	in	in	ADP
app01-10202	37	4	this	this	DET
app01-10202	37	5	contribution	contribution	NOUN
app01-10202	37	6	,	,	PUNCT
app01-10202	37	7	we	we	PRON
app01-10202	37	8	are	be	AUX
app01-10202	37	9	interested	interested	ADJ
app01-10202	37	10	to	to	PART
app01-10202	37	11	solve	solve	VERB
app01-10202	37	12	the	the	DET
app01-10202	37	13	system	system	NOUN
app01-10202	37	14	(	(	PUNCT
app01-10202	37	15	1)–(5	1)–(5	NUM
app01-10202	37	16	)	)	PUNCT
app01-10202	37	17	,	,	PUNCT
app01-10202	37	18	in	in	ADP
app01-10202	37	19	the	the	DET
app01-10202	37	20	context	context	NOUN
app01-10202	37	21	of	of	ADP
app01-10202	37	22	nearly	nearly	ADV
app01-10202	37	23	-	-	PUNCT
app01-10202	37	24	incompressible	incompressible	ADJ
app01-10202	37	25	material	material	NOUN
app01-10202	37	26	behavior	behavior	NOUN
app01-10202	37	27	(	(	PUNCT
app01-10202	37	28	rubber	rubber	NOUN
app01-10202	37	29	like	like	ADP
app01-10202	37	30	materials	material	NOUN
app01-10202	37	31	)	)	PUNCT
app01-10202	37	32	,	,	PUNCT
app01-10202	37	33	which	which	PRON
app01-10202	37	34	requires	require	VERB
app01-10202	37	35	a	a	DET
app01-10202	37	36	special	special	ADJ
app01-10202	37	37	numerical	numerical	ADJ
app01-10202	37	38	treatment	treatment	NOUN
app01-10202	37	39	–	–	PUNCT
app01-10202	37	40	like	like	ADP
app01-10202	37	41	mixed	mixed	ADJ
app01-10202	37	42	methods	method	NOUN
app01-10202	37	43	.	.	PUNCT
app01-10202	38	1	in	in	ADP
app01-10202	38	2	particular	particular	ADJ
app01-10202	38	3	,	,	PUNCT
app01-10202	38	4	the	the	DET
app01-10202	38	5	deformation	deformation	NOUN
app01-10202	38	6	is	be	AUX
app01-10202	38	7	split	split	VERB
app01-10202	38	8	into	into	ADP
app01-10202	38	9	a	a	DET
app01-10202	38	10	volumetric	volumetric	NOUN
app01-10202	38	11	part	part	NOUN
app01-10202	38	12	represented	represent	VERB
app01-10202	38	13	by	by	ADP
app01-10202	38	14	j	j	PROPN
app01-10202	38	15	and	and	CCONJ
app01-10202	38	16	an	an	DET
app01-10202	38	17	isochoric	isochoric	ADJ
app01-10202	38	18	part	part	NOUN
app01-10202	38	19	of	of	ADP
app01-10202	38	20	the	the	DET
app01-10202	38	21	right	right	ADJ
app01-10202	38	22	cauchy	cauchy	PROPN
app01-10202	38	23	-	-	PUNCT
app01-10202	38	24	green	green	ADJ
app01-10202	38	25	deformation	deformation	NOUN
app01-10202	38	26	tensor	tensor	NOUN
app01-10202	38	27	ĉ	ĉ	NOUN
app01-10202	38	28	,	,	PUNCT
app01-10202	38	29	ĉ	ĉ	X
app01-10202	38	30	=	=	SYM
app01-10202	38	31	j−	j−	VERB
app01-10202	38	32	2	2	NUM
app01-10202	38	33	3	3	NUM
app01-10202	38	34	c.	c.	NOUN
app01-10202	38	35	as	as	ADP
app01-10202	38	36	a	a	DET
app01-10202	38	37	consequence	consequence	NOUN
app01-10202	38	38	,	,	PUNCT
app01-10202	38	39	the	the	DET
app01-10202	38	40	split	split	NOUN
app01-10202	38	41	permits	permit	VERB
app01-10202	38	42	a	a	DET
app01-10202	38	43	different	different	ADJ
app01-10202	38	44	treatment	treatment	NOUN
app01-10202	38	45	of	of	ADP
app01-10202	38	46	the	the	DET
app01-10202	38	47	incompressible	incompressible	ADJ
app01-10202	38	48	part	part	NOUN
app01-10202	38	49	.	.	PUNCT
app01-10202	39	1	the	the	DET
app01-10202	39	2	deformation	deformation	NOUN
app01-10202	39	3	gradient	gradient	NOUN
app01-10202	39	4	f	f	PROPN
app01-10202	39	5	together	together	ADV
app01-10202	39	6	with	with	ADP
app01-10202	39	7	its	its	PRON
app01-10202	39	8	conjugate	conjugate	ADJ
app01-10202	39	9	first	first	ADJ
app01-10202	39	10	piola	piola	PROPN
app01-10202	39	11	-	-	PUNCT
app01-10202	39	12	kirchhoff	kirchhoff	PROPN
app01-10202	39	13	stress	stress	NOUN
app01-10202	39	14	measure	measure	NOUN
app01-10202	39	15	p	p	NOUN
app01-10202	39	16	,	,	PUNCT
app01-10202	39	17	will	will	AUX
app01-10202	39	18	be	be	AUX
app01-10202	39	19	retained	retain	VERB
app01-10202	39	20	in	in	ADP
app01-10202	39	21	order	order	NOUN
app01-10202	39	22	to	to	PART
app01-10202	39	23	defined	define	VERB
app01-10202	39	24	the	the	DET
app01-10202	39	25	basic	basic	ADJ
app01-10202	39	26	material	material	NOUN
app01-10202	39	27	relationship	relationship	NOUN
app01-10202	39	28	.	.	PUNCT
app01-10202	40	1	the	the	DET
app01-10202	40	2	hyperelastic	hyperelastic	ADJ
app01-10202	40	3	constitutive	constitutive	ADJ
app01-10202	40	4	equation	equation	NOUN
app01-10202	40	5	can	can	AUX
app01-10202	40	6	be	be	AUX
app01-10202	40	7	generally	generally	ADV
app01-10202	40	8	expressed	express	VERB
app01-10202	40	9	as	as	ADP
app01-10202	40	10	:	:	PUNCT
app01-10202	40	11	p	p	X
app01-10202	40	12	(	(	PUNCT
app01-10202	40	13	f	f	PROPN
app01-10202	40	14	)	)	PUNCT
app01-10202	41	1	=	=	SYM
app01-10202	41	2	∂w	∂w	PROPN
app01-10202	41	3	(	(	PUNCT
app01-10202	41	4	f	f	PROPN
app01-10202	41	5	)	)	PUNCT
app01-10202	42	1	∂f	∂f	PROPN
app01-10202	42	2	.	.	PUNCT
app01-10202	43	1	(	(	PUNCT
app01-10202	43	2	6	6	NUM
app01-10202	43	3	)	)	PUNCT
app01-10202	43	4	typically	typically	ADV
app01-10202	43	5	for	for	ADP
app01-10202	43	6	mixed	mixed	ADJ
app01-10202	43	7	methods	method	NOUN
app01-10202	43	8	[	[	X
app01-10202	43	9	10	10	NUM
app01-10202	43	10	,	,	PUNCT
app01-10202	43	11	11	11	NUM
app01-10202	43	12	]	]	PUNCT
app01-10202	43	13	,	,	PUNCT
app01-10202	43	14	the	the	DET
app01-10202	43	15	stored	store	VERB
app01-10202	43	16	energy	energy	NOUN
app01-10202	43	17	function	function	NOUN
app01-10202	43	18	w	w	NOUN
app01-10202	43	19	is	be	AUX
app01-10202	43	20	additively	additively	ADV
app01-10202	43	21	decomposed	decompose	VERB
app01-10202	43	22	into	into	ADP
app01-10202	43	23	distortional	distortional	ADJ
app01-10202	43	24	part	part	NOUN
app01-10202	43	25	ŵ	ŵ	X
app01-10202	43	26	and	and	CCONJ
app01-10202	43	27	dilatational	dilatational	ADJ
app01-10202	43	28	part	part	NOUN
app01-10202	43	29	u	u	NOUN
app01-10202	43	30	,	,	PUNCT
app01-10202	43	31	namely	namely	ADV
app01-10202	43	32	:	:	PUNCT
app01-10202	43	33	w	w	X
app01-10202	43	34	(	(	PUNCT
app01-10202	43	35	f	f	X
app01-10202	43	36	)	)	PUNCT
app01-10202	44	1	=	=	SYM
app01-10202	44	2	ŵ	ŵ	X
app01-10202	44	3	(	(	PUNCT
app01-10202	44	4	c	c	NOUN
app01-10202	44	5	)	)	PUNCT
app01-10202	45	1	+	+	CCONJ
app01-10202	45	2	u(j	u(j	PROPN
app01-10202	45	3	)	)	PUNCT
app01-10202	45	4	.	.	PUNCT
app01-10202	46	1	(	(	PUNCT
app01-10202	46	2	7	7	X
app01-10202	46	3	)	)	PUNCT
app01-10202	46	4	recall	recall	NOUN
app01-10202	46	5	that	that	PRON
app01-10202	46	6	c	c	AUX
app01-10202	47	1	=	=	PUNCT
app01-10202	47	2	f	f	PROPN
app01-10202	47	3	t	t	PROPN
app01-10202	47	4	f	f	PROPN
app01-10202	47	5	and	and	CCONJ
app01-10202	47	6	j	j	PROPN
app01-10202	47	7	=	=	SYM
app01-10202	47	8	det	det	PROPN
app01-10202	47	9	f	f	PROPN
app01-10202	47	10	.	.	PUNCT
app01-10202	48	1	a	a	DET
app01-10202	48	2	traditional	traditional	ADJ
app01-10202	48	3	nearly	nearly	ADV
app01-10202	48	4	incompressible	incompressible	ADJ
app01-10202	48	5	neo	neo	ADJ
app01-10202	48	6	-	-	ADJ
app01-10202	48	7	hookean	hookean	ADJ
app01-10202	48	8	potential	potential	NOUN
app01-10202	48	9	ŵ	ŵ	X
app01-10202	48	10	(	(	PUNCT
app01-10202	48	11	c	c	X
app01-10202	48	12	)	)	PUNCT
app01-10202	48	13	=	=	SYM
app01-10202	48	14	1	1	NUM
app01-10202	48	15	2µ(trĉ	2µ(trĉ	NUM
app01-10202	48	16	−	−	NOUN
app01-10202	48	17	3	3	NUM
app01-10202	48	18	)	)	PUNCT
app01-10202	48	19	and	and	CCONJ
app01-10202	48	20	a	a	DET
app01-10202	48	21	simple	simple	ADJ
app01-10202	48	22	volumetric	volumetric	NOUN
app01-10202	48	23	function	function	NOUN
app01-10202	48	24	u(j	u(j	PROPN
app01-10202	48	25	)	)	PUNCT
app01-10202	48	26	=	=	SYM
app01-10202	48	27	1	1	NUM
app01-10202	48	28	2κ(j	2κ(j	NUM
app01-10202	48	29	−	−	PROPN
app01-10202	48	30	1)2	1)2	NUM
app01-10202	48	31	are	be	AUX
app01-10202	48	32	used	use	VERB
app01-10202	48	33	in	in	ADP
app01-10202	48	34	this	this	DET
app01-10202	48	35	work	work	NOUN
app01-10202	48	36	,	,	PUNCT
app01-10202	48	37	where	where	SCONJ
app01-10202	48	38	µ	µ	NOUN
app01-10202	48	39	is	be	AUX
app01-10202	48	40	the	the	DET
app01-10202	48	41	shear	shear	NOUN
app01-10202	48	42	modulus	modulus	NOUN
app01-10202	48	43	and	and	CCONJ
app01-10202	48	44	κ	κ	NOUN
app01-10202	48	45	denotes	denote	NOUN
app01-10202	48	46	the	the	DET
app01-10202	48	47	bulk	bulk	ADJ
app01-10202	48	48	modulus	modulus	NOUN
app01-10202	48	49	.	.	PUNCT
app01-10202	49	1	these	these	DET
app01-10202	49	2	assumptions	assumption	NOUN
app01-10202	49	3	give	give	VERB
app01-10202	49	4	us	we	PRON
app01-10202	49	5	the	the	DET
app01-10202	49	6	possibility	possibility	NOUN
app01-10202	49	7	to	to	PART
app01-10202	49	8	decompose	decompose	VERB
app01-10202	49	9	the	the	DET
app01-10202	49	10	stress	stress	NOUN
app01-10202	49	11	tensor	tensor	NOUN
app01-10202	49	12	into	into	ADP
app01-10202	49	13	pure	pure	ADJ
app01-10202	49	14	shear	shear	NOUN
app01-10202	49	15	and	and	CCONJ
app01-10202	49	16	bulk	bulk	ADJ
app01-10202	49	17	responses	response	NOUN
app01-10202	49	18	.	.	PUNCT
app01-10202	50	1	the	the	DET
app01-10202	50	2	calculation	calculation	NOUN
app01-10202	50	3	is	be	AUX
app01-10202	50	4	straightforward	straightforward	ADJ
app01-10202	50	5	,	,	PUNCT
app01-10202	50	6	we	we	PRON
app01-10202	50	7	get	get	VERB
app01-10202	50	8	:	:	PUNCT
app01-10202	50	9	p	p	X
app01-10202	50	10	(	(	PUNCT
app01-10202	50	11	f	f	X
app01-10202	50	12	)	)	PUNCT
app01-10202	51	1	=	=	SYM
app01-10202	51	2	2f	2f	NOUN
app01-10202	51	3	∂ŵ	∂ŵ	NOUN
app01-10202	51	4	∂c	∂c	PUNCT
app01-10202	52	1	+	+	PUNCT
app01-10202	52	2	2f	2f	NUM
app01-10202	52	3	∂u	∂u	PROPN
app01-10202	52	4	∂j	∂j	NOUN
app01-10202	52	5	∂j	∂j	PROPN
app01-10202	53	1	∂c	∂c	PROPN
app01-10202	54	1	(	(	PUNCT
app01-10202	54	2	8)	8)	NUM
app01-10202	54	3	figure	figure	NOUN
app01-10202	54	4	2	2	NUM
app01-10202	54	5	.	.	PUNCT
app01-10202	55	1	the	the	DET
app01-10202	55	2	standard	standard	ADJ
app01-10202	55	3	viscoelastic	viscoelastic	ADJ
app01-10202	55	4	model	model	NOUN
app01-10202	55	5	.	.	PUNCT
app01-10202	56	1	and	and	CCONJ
app01-10202	56	2	∂j	∂j	PROPN
app01-10202	56	3	∂c	∂c	PROPN
app01-10202	57	1	=	=	SYM
app01-10202	57	2	√	√	PROPN
app01-10202	57	3	det	det	PROPN
app01-10202	57	4	c	c	PROPN
app01-10202	57	5	∂c	∂c	PROPN
app01-10202	58	1	=	=	NOUN
app01-10202	58	2	1	1	NUM
app01-10202	58	3	2jc−1	2jc−1	NUM
app01-10202	58	4	.	.	PUNCT
app01-10202	59	1	(	(	PUNCT
app01-10202	59	2	9	9	NUM
app01-10202	59	3	)	)	PUNCT
app01-10202	59	4	to	to	PART
app01-10202	59	5	account	account	VERB
app01-10202	59	6	properly	properly	ADV
app01-10202	59	7	for	for	ADP
app01-10202	59	8	nearly	nearly	ADV
app01-10202	59	9	incompressible	incompressible	ADJ
app01-10202	59	10	material	material	ADJ
app01-10202	59	11	response	response	NOUN
app01-10202	59	12	and	and	CCONJ
app01-10202	59	13	to	to	PART
app01-10202	59	14	avoid	avoid	VERB
app01-10202	59	15	difficulties	difficulty	NOUN
app01-10202	59	16	concerning	concern	VERB
app01-10202	59	17	“	"	PUNCT
app01-10202	59	18	locking	locking	NOUN
app01-10202	59	19	”	"	PUNCT
app01-10202	59	20	of	of	ADP
app01-10202	59	21	the	the	DET
app01-10202	59	22	finite	finite	ADJ
app01-10202	59	23	element	element	NOUN
app01-10202	59	24	procedure	procedure	NOUN
app01-10202	59	25	,	,	PUNCT
app01-10202	59	26	we	we	PRON
app01-10202	59	27	employ	employ	VERB
app01-10202	59	28	a	a	DET
app01-10202	59	29	three	three	NUM
app01-10202	59	30	-	-	PUNCT
app01-10202	59	31	field	field	NOUN
app01-10202	59	32	de	de	ADP
app01-10202	59	33	veubeke	veubeke	NOUN
app01-10202	59	34	-	-	PUNCT
app01-10202	59	35	hu	hu	NOUN
app01-10202	59	36	-	-	PUNCT
app01-10202	59	37	washizu	washizu	NOUN
app01-10202	59	38	principle	principle	VERB
app01-10202	59	39	[	[	X
app01-10202	59	40	10	10	NUM
app01-10202	59	41	]	]	PUNCT
app01-10202	59	42	.	.	PUNCT
app01-10202	60	1	additional	additional	ADJ
app01-10202	60	2	variables	variable	NOUN
app01-10202	60	3	entering	enter	VERB
app01-10202	60	4	the	the	DET
app01-10202	60	5	mixed	mixed	ADJ
app01-10202	60	6	three	three	NUM
app01-10202	60	7	-	-	PUNCT
app01-10202	60	8	field	field	NOUN
app01-10202	60	9	formulation	formulation	NOUN
app01-10202	60	10	represent	represent	VERB
app01-10202	60	11	a	a	DET
app01-10202	60	12	strain	strain	ADJ
app01-10202	60	13	variable	variable	ADJ
app01-10202	60	14	θ	θ	NOUN
app01-10202	60	15	which	which	PRON
app01-10202	60	16	is	be	AUX
app01-10202	60	17	equivalent	equivalent	ADJ
app01-10202	60	18	to	to	ADP
app01-10202	60	19	j	j	PROPN
app01-10202	60	20	:	:	PUNCT
app01-10202	60	21	θ	θ	PROPN
app01-10202	60	22	=	=	SYM
app01-10202	60	23	j	j	PROPN
app01-10202	60	24	,	,	PUNCT
app01-10202	60	25	(	(	PUNCT
app01-10202	60	26	10	10	NUM
app01-10202	60	27	)	)	PUNCT
app01-10202	60	28	and	and	CCONJ
app01-10202	60	29	the	the	DET
app01-10202	60	30	hydrostatic	hydrostatic	ADJ
app01-10202	60	31	pressure	pressure	NOUN
app01-10202	60	32	:	:	PUNCT
app01-10202	60	33	p	p	X
app01-10202	60	34	=	=	PUNCT
app01-10202	60	35	∂u	∂u	PROPN
app01-10202	60	36	∂j	∂j	PROPN
app01-10202	61	1	∣∣∣∣	∣∣∣∣	PROPN
app01-10202	61	2	j	j	PROPN
app01-10202	61	3	=	=	PROPN
app01-10202	61	4	θ	θ	PROPN
app01-10202	61	5	.	.	PUNCT
app01-10202	62	1	(	(	PUNCT
app01-10202	62	2	11	11	NUM
app01-10202	62	3	)	)	PUNCT
app01-10202	62	4	in	in	ADP
app01-10202	62	5	the	the	DET
app01-10202	62	6	weak	weak	ADJ
app01-10202	62	7	formulation	formulation	NOUN
app01-10202	62	8	of	of	ADP
app01-10202	62	9	our	our	PRON
app01-10202	62	10	problem	problem	NOUN
app01-10202	62	11	and	and	CCONJ
app01-10202	62	12	the	the	DET
app01-10202	62	13	subsequent	subsequent	ADJ
app01-10202	62	14	finite	finite	ADJ
app01-10202	62	15	element	element	NOUN
app01-10202	62	16	procedure	procedure	NOUN
app01-10202	62	17	,	,	PUNCT
app01-10202	62	18	introduced	introduce	VERB
app01-10202	62	19	hereafter	hereafter	ADV
app01-10202	62	20	,	,	PUNCT
app01-10202	62	21	equations	equation	NOUN
app01-10202	62	22	(	(	PUNCT
app01-10202	62	23	10	10	NUM
app01-10202	62	24	)	)	PUNCT
app01-10202	62	25	and	and	CCONJ
app01-10202	62	26	(	(	PUNCT
app01-10202	62	27	11	11	NUM
app01-10202	62	28	)	)	PUNCT
app01-10202	62	29	are	be	AUX
app01-10202	62	30	satisfied	satisfied	ADJ
app01-10202	62	31	in	in	ADP
app01-10202	62	32	a	a	DET
app01-10202	62	33	weak	weak	ADJ
app01-10202	62	34	sense	sense	NOUN
app01-10202	62	35	.	.	PUNCT
app01-10202	63	1	2.2	2.2	NUM
app01-10202	63	2	.	.	PUNCT
app01-10202	63	3	fractional	fractional	ADJ
app01-10202	63	4	viscoelasticity	viscoelasticity	NOUN
app01-10202	63	5	in	in	ADP
app01-10202	63	6	a	a	DET
app01-10202	63	7	viscoelastic	viscoelastic	ADJ
app01-10202	63	8	model	model	NOUN
app01-10202	63	9	the	the	DET
app01-10202	63	10	stress	stress	NOUN
app01-10202	63	11	depends	depend	VERB
app01-10202	63	12	not	not	PART
app01-10202	63	13	solely	solely	ADV
app01-10202	63	14	on	on	ADP
app01-10202	63	15	the	the	DET
app01-10202	63	16	current	current	ADJ
app01-10202	63	17	strain	strain	NOUN
app01-10202	63	18	(	(	PUNCT
app01-10202	63	19	elastic	elastic	ADJ
app01-10202	63	20	model	model	NOUN
app01-10202	63	21	)	)	PUNCT
app01-10202	63	22	,	,	PUNCT
app01-10202	63	23	but	but	CCONJ
app01-10202	63	24	it	it	PRON
app01-10202	63	25	also	also	ADV
app01-10202	63	26	depends	depend	VERB
app01-10202	63	27	on	on	ADP
app01-10202	63	28	the	the	DET
app01-10202	63	29	entire	entire	ADJ
app01-10202	63	30	strain	strain	NOUN
app01-10202	63	31	history	history	NOUN
app01-10202	63	32	.	.	PUNCT
app01-10202	64	1	the	the	DET
app01-10202	64	2	standard	standard	ADJ
app01-10202	64	3	viscoelastic	viscoelastic	ADJ
app01-10202	64	4	model	model	NOUN
app01-10202	64	5	consists	consist	VERB
app01-10202	64	6	ofn	ofn	PROPN
app01-10202	64	7	maxwell	maxwell	PROPN
app01-10202	64	8	chains	chain	NOUN
app01-10202	64	9	coupled	couple	VERB
app01-10202	64	10	in	in	ADP
app01-10202	64	11	parallel	parallel	NOUN
app01-10202	64	12	,	,	PUNCT
app01-10202	64	13	see	see	VERB
app01-10202	64	14	figure	figure	NOUN
app01-10202	64	15	2	2	NUM
app01-10202	64	16	.	.	PUNCT
app01-10202	65	1	the	the	DET
app01-10202	65	2	present	present	ADJ
app01-10202	65	3	approach	approach	NOUN
app01-10202	65	4	is	be	AUX
app01-10202	65	5	based	base	VERB
app01-10202	65	6	on	on	ADP
app01-10202	65	7	the	the	DET
app01-10202	65	8	assumption	assumption	NOUN
app01-10202	65	9	that	that	SCONJ
app01-10202	65	10	a	a	DET
app01-10202	65	11	viscous	viscous	ADJ
app01-10202	65	12	response	response	NOUN
app01-10202	65	13	is	be	AUX
app01-10202	65	14	characterized	characterize	VERB
app01-10202	65	15	by	by	ADP
app01-10202	65	16	a	a	DET
app01-10202	65	17	set	set	NOUN
app01-10202	65	18	of	of	ADP
app01-10202	65	19	rate	rate	NOUN
app01-10202	65	20	constitutive	constitutive	ADJ
app01-10202	65	21	equations	equation	NOUN
app01-10202	65	22	,	,	PUNCT
app01-10202	65	23	namely	namely	ADV
app01-10202	65	24	for	for	ADP
app01-10202	65	25	a	a	DET
app01-10202	65	26	nonequilibrium	nonequilibrium	NOUN
app01-10202	65	27	stress	stress	NOUN
app01-10202	65	28	qk	qk	NOUN
app01-10202	65	29	(	(	PUNCT
app01-10202	65	30	in	in	ADP
app01-10202	65	31	chain	chain	NOUN
app01-10202	65	32	k	k	NOUN
app01-10202	65	33	)	)	PUNCT
app01-10202	65	34	as	as	ADP
app01-10202	65	35	an	an	DET
app01-10202	65	36	internal	internal	ADJ
app01-10202	65	37	variable	variable	NOUN
app01-10202	65	38	,	,	PUNCT
app01-10202	65	39	k	k	PROPN
app01-10202	65	40	=	=	SYM
app01-10202	65	41	1	1	NUM
app01-10202	65	42	,	,	PUNCT
app01-10202	65	43	2	2	NUM
app01-10202	65	44	,	,	PUNCT
app01-10202	65	45	.	.	PUNCT
app01-10202	65	46	.	.	PUNCT
app01-10202	66	1	.	.	PUNCT
app01-10202	67	1	,	,	PUNCT
app01-10202	67	2	n	n	X
app01-10202	67	3	.	.	PUNCT
app01-10202	68	1	the	the	DET
app01-10202	68	2	constitutive	constitutive	ADJ
app01-10202	68	3	model	model	NOUN
app01-10202	68	4	can	can	AUX
app01-10202	68	5	be	be	AUX
app01-10202	68	6	written	write	VERB
app01-10202	68	7	as	as	ADP
app01-10202	68	8	a	a	DET
app01-10202	68	9	set	set	NOUN
app01-10202	68	10	of	of	ADP
app01-10202	68	11	coupled	couple	VERB
app01-10202	68	12	equations	equation	NOUN
app01-10202	68	13	[	[	X
app01-10202	68	14	8	8	NUM
app01-10202	68	15	,	,	PUNCT
app01-10202	68	16	9	9	NUM
app01-10202	68	17	,	,	PUNCT
app01-10202	68	18	12	12	NUM
app01-10202	68	19	]	]	PUNCT
app01-10202	68	20	:	:	PUNCT
app01-10202	68	21	s	s	X
app01-10202	68	22	=	=	SYM
app01-10202	68	23	2∂w	2∂w	PROPN
app01-10202	68	24	∂c	∂c	PROPN
app01-10202	68	25	−	−	PROPN
app01-10202	69	1	n∑	n∑	INTJ
app01-10202	69	2	k=1	k=1	X
app01-10202	69	3	qk	qk	PROPN
app01-10202	69	4	,	,	PUNCT
app01-10202	69	5	p	p	NOUN
app01-10202	69	6	=	=	PUNCT
app01-10202	69	7	f	f	X
app01-10202	69	8	s	s	PROPN
app01-10202	69	9	,	,	PUNCT
app01-10202	69	10	(	(	PUNCT
app01-10202	69	11	12	12	NUM
app01-10202	69	12	)	)	PUNCT
app01-10202	69	13	∂qk	∂qk	PROPN
app01-10202	69	14	∂t	∂t	PROPN
app01-10202	70	1	+	+	CCONJ
app01-10202	70	2	1	1	NUM
app01-10202	70	3	τk	τk	ADP
app01-10202	70	4	qk	qk	NOUN
app01-10202	70	5	=	=	NOUN
app01-10202	70	6	1	1	NUM
app01-10202	70	7	τk	τk	ADP
app01-10202	70	8	(	(	PUNCT
app01-10202	70	9	2∂ŵk	2∂ŵk	NOUN
app01-10202	70	10	∂c	∂c	PROPN
app01-10202	70	11	)	)	PUNCT
app01-10202	70	12	,	,	PUNCT
app01-10202	70	13	qk(0	qk(0	PROPN
app01-10202	70	14	)	)	PUNCT
app01-10202	70	15	=	=	SYM
app01-10202	70	16	0	0	NUM
app01-10202	70	17	,	,	PUNCT
app01-10202	70	18	(	(	PUNCT
app01-10202	70	19	13	13	NUM
app01-10202	70	20	)	)	PUNCT
app01-10202	70	21	where	where	SCONJ
app01-10202	70	22	k	k	NOUN
app01-10202	70	23	=	=	SYM
app01-10202	70	24	1	1	NUM
app01-10202	70	25	,	,	PUNCT
app01-10202	70	26	2	2	NUM
app01-10202	70	27	,	,	PUNCT
app01-10202	70	28	.	.	PUNCT
app01-10202	70	29	.	.	PUNCT
app01-10202	71	1	.	.	PUNCT
app01-10202	72	1	,	,	PUNCT
app01-10202	73	1	n	n	CCONJ
app01-10202	73	2	,	,	PUNCT
app01-10202	73	3	w	w	NOUN
app01-10202	73	4	=	=	SYM
app01-10202	73	5	∑n	∑n	NOUN
app01-10202	73	6	k=1	k=1	ADJ
app01-10202	73	7	wk	wk	PROPN
app01-10202	73	8	,	,	PUNCT
app01-10202	73	9	14	14	NUM
app01-10202	73	10	vol	vol	NOUN
app01-10202	73	11	.	.	PUNCT
app01-10202	74	1	49/2024	49/2024	NUM
app01-10202	74	2	fractional	fractional	ADJ
app01-10202	74	3	viscoelastic	viscoelastic	NOUN
app01-10202	74	4	models	model	NOUN
app01-10202	74	5	at	at	ADP
app01-10202	74	6	large	large	ADJ
app01-10202	74	7	deformations	deformation	NOUN
app01-10202	74	8	s	s	PART
app01-10202	74	9	represents	represent	VERB
app01-10202	74	10	the	the	DET
app01-10202	74	11	second	second	ADJ
app01-10202	74	12	(	(	PUNCT
app01-10202	74	13	or	or	CCONJ
app01-10202	74	14	symmetric	symmetric	ADJ
app01-10202	74	15	)	)	PUNCT
app01-10202	74	16	piolakirchhoff	piolakirchhoff	PROPN
app01-10202	74	17	stress	stress	NOUN
app01-10202	74	18	tensor	tensor	NOUN
app01-10202	74	19	,	,	PUNCT
app01-10202	74	20	wk	wk	X
app01-10202	74	21	is	be	AUX
app01-10202	74	22	the	the	DET
app01-10202	74	23	strain	strain	ADJ
app01-10202	74	24	energy	energy	NOUN
app01-10202	74	25	in	in	ADP
app01-10202	74	26	chain	chain	NOUN
app01-10202	74	27	k	k	PROPN
app01-10202	74	28	,	,	PUNCT
app01-10202	74	29	τk	τk	ADV
app01-10202	74	30	is	be	AUX
app01-10202	74	31	the	the	DET
app01-10202	74	32	relaxation	relaxation	NOUN
app01-10202	74	33	time	time	NOUN
app01-10202	74	34	associated	associate	VERB
app01-10202	74	35	with	with	ADP
app01-10202	74	36	each	each	DET
app01-10202	74	37	maxwell	maxwell	PROPN
app01-10202	74	38	chain	chain	NOUN
app01-10202	74	39	.	.	PUNCT
app01-10202	75	1	classical	classical	ADJ
app01-10202	75	2	theory	theory	NOUN
app01-10202	75	3	of	of	ADP
app01-10202	75	4	viscoelasticity	viscoelasticity	NOUN
app01-10202	75	5	employs	employ	VERB
app01-10202	75	6	the	the	DET
app01-10202	75	7	models	model	NOUN
app01-10202	75	8	composed	compose	VERB
app01-10202	75	9	of	of	ADP
app01-10202	75	10	rheological	rheological	ADJ
app01-10202	75	11	elements	element	NOUN
app01-10202	75	12	such	such	ADJ
app01-10202	75	13	as	as	ADP
app01-10202	75	14	elastic	elastic	ADJ
app01-10202	75	15	springs	spring	NOUN
app01-10202	75	16	and	and	CCONJ
app01-10202	75	17	viscous	viscous	ADJ
app01-10202	75	18	dampers	damper	NOUN
app01-10202	75	19	.	.	PUNCT
app01-10202	76	1	meanwhile	meanwhile	ADV
app01-10202	76	2	,	,	PUNCT
app01-10202	76	3	the	the	DET
app01-10202	76	4	fractional	fractional	ADJ
app01-10202	76	5	viscoelasticity	viscoelasticity	NOUN
app01-10202	76	6	introduces	introduce	VERB
app01-10202	76	7	the	the	DET
app01-10202	76	8	springpot	springpot	NOUN
app01-10202	76	9	element	element	NOUN
app01-10202	76	10	together	together	ADV
app01-10202	76	11	with	with	ADP
app01-10202	76	12	the	the	DET
app01-10202	76	13	principles	principle	NOUN
app01-10202	76	14	of	of	ADP
app01-10202	76	15	fractional	fractional	ADJ
app01-10202	76	16	calculus	calculus	NOUN
app01-10202	76	17	.	.	PUNCT
app01-10202	77	1	the	the	DET
app01-10202	77	2	fractional	fractional	ADJ
app01-10202	77	3	derivative	derivative	NOUN
app01-10202	77	4	of	of	ADP
app01-10202	77	5	order	order	NOUN
app01-10202	77	6	α	α	NOUN
app01-10202	77	7	of	of	ADP
app01-10202	77	8	a	a	DET
app01-10202	77	9	function	function	NOUN
app01-10202	77	10	u	u	NOUN
app01-10202	77	11	is	be	AUX
app01-10202	77	12	defined	define	VERB
app01-10202	77	13	as	as	ADP
app01-10202	77	14	:	:	PUNCT
app01-10202	77	15	dαu(t	dαu(t	PROPN
app01-10202	77	16	)	)	PUNCT
app01-10202	77	17	=	=	SYM
app01-10202	77	18	1	1	NUM
app01-10202	78	1	γ(1	γ(1	PROPN
app01-10202	78	2	−	−	NUM
app01-10202	78	3	α	α	NOUN
app01-10202	78	4	)	)	PUNCT
app01-10202	78	5	d	d	NOUN
app01-10202	78	6	dt	dt	X
app01-10202	79	1	∫	∫	PROPN
app01-10202	79	2	t	t	PROPN
app01-10202	79	3	0	0	NUM
app01-10202	79	4	u(s	u(s	PROPN
app01-10202	79	5	)	)	PUNCT
app01-10202	79	6	(	(	PUNCT
app01-10202	79	7	t−	t−	PRON
app01-10202	79	8	s)α	s)α	NOUN
app01-10202	79	9	ds	ds	PROPN
app01-10202	79	10	,	,	PUNCT
app01-10202	79	11	(	(	PUNCT
app01-10202	79	12	14	14	NUM
app01-10202	79	13	)	)	PUNCT
app01-10202	79	14	where	where	SCONJ
app01-10202	79	15	0	0	NUM
app01-10202	79	16	<	<	X
app01-10202	79	17	α	α	X
app01-10202	79	18	<	<	X
app01-10202	79	19	1	1	NUM
app01-10202	79	20	,	,	PUNCT
app01-10202	79	21	γ	γ	X
app01-10202	79	22	is	be	AUX
app01-10202	79	23	the	the	DET
app01-10202	79	24	gamma	gamma	NOUN
app01-10202	79	25	function	function	NOUN
app01-10202	79	26	.	.	PUNCT
app01-10202	80	1	replacing	replace	VERB
app01-10202	80	2	now	now	ADV
app01-10202	80	3	the	the	DET
app01-10202	80	4	integer	integer	NOUN
app01-10202	80	5	order	order	NOUN
app01-10202	80	6	derivative	derivative	NOUN
app01-10202	80	7	in	in	ADP
app01-10202	80	8	(	(	PUNCT
app01-10202	80	9	13	13	NUM
app01-10202	80	10	)	)	PUNCT
app01-10202	80	11	with	with	ADP
app01-10202	80	12	a	a	DET
app01-10202	80	13	fractional	fractional	ADJ
app01-10202	80	14	order	order	NOUN
app01-10202	80	15	derivative	derivative	NOUN
app01-10202	80	16	we	we	PRON
app01-10202	80	17	get	get	VERB
app01-10202	80	18	:	:	PUNCT
app01-10202	80	19	dαk	dαk	VERB
app01-10202	80	20	qk	qk	NOUN
app01-10202	80	21	+	+	PROPN
app01-10202	80	22	1	1	NUM
app01-10202	80	23	ταk	ταk	NOUN
app01-10202	81	1	k	k	NOUN
app01-10202	81	2	qk	qk	NOUN
app01-10202	81	3	=	=	PROPN
app01-10202	81	4	1	1	NUM
app01-10202	81	5	ταk	ταk	NOUN
app01-10202	81	6	k	k	PROPN
app01-10202	82	1	(	(	PUNCT
app01-10202	82	2	2∂ŵk	2∂ŵk	NOUN
app01-10202	82	3	∂c	∂c	PROPN
app01-10202	82	4	)	)	PUNCT
app01-10202	82	5	,	,	PUNCT
app01-10202	82	6	(	(	PUNCT
app01-10202	82	7	15	15	X
app01-10202	82	8	)	)	PUNCT
app01-10202	82	9	qk(0	qk(0	NOUN
app01-10202	82	10	)	)	PUNCT
app01-10202	82	11	=	=	SYM
app01-10202	82	12	0	0	NUM
app01-10202	82	13	,	,	PUNCT
app01-10202	82	14	(	(	PUNCT
app01-10202	82	15	16	16	NUM
app01-10202	82	16	)	)	PUNCT
app01-10202	82	17	where	where	SCONJ
app01-10202	82	18	k	k	NOUN
app01-10202	82	19	=	=	SYM
app01-10202	82	20	1	1	NUM
app01-10202	82	21	,	,	PUNCT
app01-10202	82	22	2	2	NUM
app01-10202	82	23	,	,	PUNCT
app01-10202	82	24	.	.	PUNCT
app01-10202	82	25	.	.	PUNCT
app01-10202	82	26	.	.	PUNCT
app01-10202	82	27	,	,	PUNCT
app01-10202	82	28	n	n	CCONJ
app01-10202	82	29	,	,	PUNCT
app01-10202	82	30	ταk	ταk	PROPN
app01-10202	82	31	k	k	PROPN
app01-10202	82	32	can	can	AUX
app01-10202	82	33	now	now	ADV
app01-10202	82	34	be	be	AUX
app01-10202	82	35	interpreted	interpret	VERB
app01-10202	82	36	as	as	ADP
app01-10202	82	37	the	the	DET
app01-10202	82	38	most	most	ADV
app01-10202	82	39	probable	probable	ADJ
app01-10202	82	40	relaxation	relaxation	NOUN
app01-10202	82	41	time	time	NOUN
app01-10202	82	42	out	out	ADP
app01-10202	82	43	of	of	ADP
app01-10202	82	44	a	a	DET
app01-10202	82	45	continuous	continuous	ADJ
app01-10202	82	46	distribution	distribution	NOUN
app01-10202	82	47	of	of	ADP
app01-10202	82	48	relaxation	relaxation	NOUN
app01-10202	82	49	times	time	NOUN
app01-10202	82	50	.	.	PUNCT
app01-10202	83	1	the	the	DET
app01-10202	83	2	fractional	fractional	ADJ
app01-10202	83	3	order	order	NOUN
app01-10202	83	4	of	of	ADP
app01-10202	83	5	differentiation	differentiation	NOUN
app01-10202	83	6	αk	αk	INTJ
app01-10202	83	7	then	then	ADV
app01-10202	83	8	plays	play	VERB
app01-10202	83	9	the	the	DET
app01-10202	83	10	role	role	NOUN
app01-10202	83	11	of	of	ADP
app01-10202	83	12	a	a	DET
app01-10202	83	13	distribution	distribution	NOUN
app01-10202	83	14	parameter	parameter	NOUN
app01-10202	83	15	for	for	ADP
app01-10202	83	16	the	the	DET
app01-10202	83	17	corresponding	corresponding	ADJ
app01-10202	83	18	distribution	distribution	NOUN
app01-10202	83	19	of	of	ADP
app01-10202	83	20	relaxation	relaxation	NOUN
app01-10202	83	21	times	time	NOUN
app01-10202	83	22	[	[	X
app01-10202	83	23	13	13	NUM
app01-10202	83	24	]	]	PUNCT
app01-10202	83	25	.	.	PUNCT
app01-10202	84	1	the	the	DET
app01-10202	84	2	fractional	fractional	PROPN
app01-10202	84	3	maxwell	maxwell	PROPN
app01-10202	84	4	chain	chain	NOUN
app01-10202	84	5	is	be	AUX
app01-10202	84	6	obtained	obtain	VERB
app01-10202	84	7	as	as	ADP
app01-10202	84	8	a	a	DET
app01-10202	84	9	parallel	parallel	ADJ
app01-10202	84	10	connection	connection	NOUN
app01-10202	84	11	of	of	ADP
app01-10202	84	12	n	n	CCONJ
app01-10202	84	13	fractional	fractional	ADJ
app01-10202	84	14	maxwell	maxwell	PROPN
app01-10202	84	15	cells	cell	NOUN
app01-10202	84	16	,	,	PUNCT
app01-10202	84	17	see	see	VERB
app01-10202	84	18	the	the	DET
app01-10202	84	19	scheme	scheme	NOUN
app01-10202	84	20	in	in	ADP
app01-10202	84	21	figure	figure	NOUN
app01-10202	84	22	3	3	NUM
app01-10202	84	23	.	.	NOUN
app01-10202	85	1	3	3	NUM
app01-10202	85	2	.	.	PUNCT
app01-10202	86	1	the	the	DET
app01-10202	86	2	weak	weak	ADJ
app01-10202	86	3	formulation	formulation	NOUN
app01-10202	86	4	in	in	ADP
app01-10202	86	5	the	the	DET
app01-10202	86	6	rest	rest	NOUN
app01-10202	86	7	of	of	ADP
app01-10202	86	8	the	the	DET
app01-10202	86	9	paper	paper	NOUN
app01-10202	86	10	,	,	PUNCT
app01-10202	86	11	just	just	ADV
app01-10202	86	12	to	to	PART
app01-10202	86	13	simplify	simplify	VERB
app01-10202	86	14	and	and	CCONJ
app01-10202	86	15	shorten	shorten	VERB
app01-10202	86	16	the	the	DET
app01-10202	86	17	presentation	presentation	NOUN
app01-10202	86	18	and	and	CCONJ
app01-10202	86	19	avoid	avoid	VERB
app01-10202	86	20	unnecessary	unnecessary	ADJ
app01-10202	86	21	technicalities	technicality	NOUN
app01-10202	86	22	,	,	PUNCT
app01-10202	86	23	we	we	PRON
app01-10202	86	24	will	will	AUX
app01-10202	86	25	consider	consider	VERB
app01-10202	86	26	the	the	DET
app01-10202	86	27	case	case	NOUN
app01-10202	86	28	n	n	NOUN
app01-10202	86	29	=	=	SYM
app01-10202	86	30	1	1	NUM
app01-10202	86	31	(	(	PUNCT
app01-10202	86	32	the	the	DET
app01-10202	86	33	fractional	fractional	PROPN
app01-10202	86	34	maxwell	maxwell	PROPN
app01-10202	86	35	cell	cell	PROPN
app01-10202	86	36	)	)	PUNCT
app01-10202	86	37	.	.	PUNCT
app01-10202	87	1	the	the	DET
app01-10202	87	2	simple	simple	ADJ
app01-10202	87	3	model	model	NOUN
app01-10202	87	4	presented	present	VERB
app01-10202	87	5	here	here	ADV
app01-10202	87	6	can	can	AUX
app01-10202	87	7	be	be	AUX
app01-10202	87	8	straightforwardly	straightforwardly	ADV
app01-10202	87	9	extended	extend	VERB
app01-10202	87	10	to	to	ADP
app01-10202	87	11	a	a	DET
app01-10202	87	12	setting	setting	NOUN
app01-10202	87	13	with	with	ADP
app01-10202	87	14	the	the	DET
app01-10202	87	15	parallel	parallel	ADJ
app01-10202	87	16	connection	connection	NOUN
app01-10202	87	17	of	of	ADP
app01-10202	87	18	n	n	NOUN
app01-10202	87	19	cells	cell	NOUN
app01-10202	87	20	(	(	PUNCT
app01-10202	87	21	in	in	ADP
app01-10202	87	22	the	the	DET
app01-10202	87	23	fractional	fractional	ADJ
app01-10202	87	24	maxwell	maxwell	PROPN
app01-10202	87	25	chain	chain	NOUN
app01-10202	87	26	)	)	PUNCT
app01-10202	87	27	.	.	PUNCT
app01-10202	88	1	let	let	AUX
app01-10202	88	2	w	w	NOUN
app01-10202	88	3	1,2(ω0	1,2(ω0	NUM
app01-10202	88	4	)	)	PUNCT
app01-10202	88	5	denote	denote	VERB
app01-10202	88	6	the	the	DET
app01-10202	88	7	sobolev	sobolev	NOUN
app01-10202	88	8	space	space	NOUN
app01-10202	88	9	of	of	ADP
app01-10202	88	10	functions	function	NOUN
app01-10202	88	11	possessing	possess	VERB
app01-10202	88	12	square	square	ADJ
app01-10202	88	13	integrable	integrable	ADJ
app01-10202	88	14	derivatives	derivative	NOUN
app01-10202	88	15	and	and	CCONJ
app01-10202	88	16	h(ω0	h(ω0	NOUN
app01-10202	88	17	)	)	PUNCT
app01-10202	88	18	:	:	PUNCT
app01-10202	89	1	=	=	PUNCT
app01-10202	89	2	w	w	PROPN
app01-10202	89	3	1,2(ω0)3	1,2(ω0)3	NUM
app01-10202	89	4	.	.	PUNCT
app01-10202	90	1	let	let	VERB
app01-10202	90	2	us	we	PRON
app01-10202	90	3	denote	denote	VERB
app01-10202	90	4	by	by	ADP
app01-10202	90	5	st	st	PROPN
app01-10202	90	6	the	the	DET
app01-10202	90	7	displacement	displacement	ADJ
app01-10202	90	8	solution	solution	NOUN
app01-10202	90	9	space	space	NOUN
app01-10202	90	10	at	at	ADP
app01-10202	90	11	time	time	NOUN
app01-10202	90	12	t	t	PROPN
app01-10202	90	13	∈	∈	PROPN
app01-10202	91	1	[	[	X
app01-10202	91	2	0	0	NUM
app01-10202	91	3	,	,	PUNCT
app01-10202	91	4	t	t	PROPN
app01-10202	91	5	]	]	PUNCT
app01-10202	91	6	defined	define	VERB
app01-10202	91	7	as	as	ADP
app01-10202	91	8	:	:	PUNCT
app01-10202	91	9	st	st	PROPN
app01-10202	91	10	=	=	X
app01-10202	91	11	{	{	PUNCT
app01-10202	91	12	u	u	NOUN
app01-10202	91	13	(	(	PUNCT
app01-10202	91	14	·	·	PUNCT
app01-10202	91	15	,	,	PUNCT
app01-10202	91	16	t	t	PROPN
app01-10202	91	17	)	)	PUNCT
app01-10202	91	18	∈	∈	PROPN
app01-10202	91	19	h(ω0	h(ω0	NOUN
app01-10202	91	20	)	)	PUNCT
app01-10202	91	21	∣∣∣∣	∣∣∣∣	NOUN
app01-10202	91	22	u	u	NOUN
app01-10202	91	23	(	(	PUNCT
app01-10202	91	24	·	·	PROPN
app01-10202	91	25	,	,	PUNCT
app01-10202	91	26	t	t	PROPN
app01-10202	91	27	)	)	PUNCT
app01-10202	91	28	=	=	SYM
app01-10202	91	29	ŭ0	ŭ0	X
app01-10202	91	30	(	(	PUNCT
app01-10202	91	31	·	·	PROPN
app01-10202	91	32	,	,	PUNCT
app01-10202	91	33	t	t	PROPN
app01-10202	91	34	)	)	PUNCT
app01-10202	91	35	on	on	ADP
app01-10202	91	36	∂ωu	∂ωu	PROPN
app01-10202	91	37	}	}	PUNCT
app01-10202	91	38	.	.	PUNCT
app01-10202	92	1	finally	finally	ADV
app01-10202	92	2	,	,	PUNCT
app01-10202	92	3	we	we	PRON
app01-10202	92	4	denote	denote	VERB
app01-10202	92	5	by	by	ADP
app01-10202	92	6	hu(ω0	hu(ω0	NOUN
app01-10202	92	7	)	)	PUNCT
app01-10202	92	8	the	the	DET
app01-10202	92	9	linear	linear	ADJ
app01-10202	92	10	space	space	NOUN
app01-10202	92	11	of	of	ADP
app01-10202	92	12	admissible	admissible	ADJ
app01-10202	92	13	test	test	NOUN
app01-10202	92	14	functions	function	NOUN
app01-10202	92	15	or	or	CCONJ
app01-10202	92	16	kinematically	kinematically	ADV
app01-10202	92	17	admissible	admissible	ADJ
app01-10202	92	18	figure	figure	NOUN
app01-10202	92	19	3	3	NUM
app01-10202	92	20	.	.	PUNCT
app01-10202	93	1	the	the	DET
app01-10202	93	2	fractional	fractional	PROPN
app01-10202	93	3	maxwell	maxwell	PROPN
app01-10202	93	4	chain	chain	NOUN
app01-10202	93	5	.	.	PUNCT
app01-10202	94	1	variations	variation	NOUN
app01-10202	94	2	,	,	PUNCT
app01-10202	94	3	i.e.	i.e.	X
app01-10202	94	4	,	,	PUNCT
app01-10202	94	5	(	(	PUNCT
app01-10202	94	6	virtual	virtual	ADJ
app01-10202	94	7	)	)	PUNCT
app01-10202	94	8	displacements	displacement	NOUN
app01-10202	94	9	satisfying	satisfy	VERB
app01-10202	94	10	the	the	DET
app01-10202	94	11	homogeneous	homogeneous	ADJ
app01-10202	94	12	form	form	NOUN
app01-10202	94	13	of	of	ADP
app01-10202	94	14	the	the	DET
app01-10202	94	15	essential	essential	ADJ
app01-10202	94	16	boundary	boundary	ADJ
app01-10202	94	17	condition	condition	NOUN
app01-10202	94	18	(	(	PUNCT
app01-10202	94	19	2	2	NUM
app01-10202	94	20	)	)	PUNCT
app01-10202	94	21	as	as	ADP
app01-10202	94	22	:	:	PUNCT
app01-10202	94	23	hu(ω0	hu(ω0	ADJ
app01-10202	94	24	)	)	PUNCT
app01-10202	94	25	=	=	SYM
app01-10202	94	26	{	{	PUNCT
app01-10202	94	27	v	v	NUM
app01-10202	94	28	∈	∈	PROPN
app01-10202	94	29	h(ω0	h(ω0	NOUN
app01-10202	94	30	)	)	PUNCT
app01-10202	94	31	∣∣∣∣	∣∣∣∣	NOUN
app01-10202	94	32	v	v	NOUN
app01-10202	94	33	=	=	SYM
app01-10202	94	34	0	0	NUM
app01-10202	94	35	on	on	ADP
app01-10202	94	36	∂ωu	∂ωu	PROPN
app01-10202	94	37	}	}	PUNCT
app01-10202	94	38	.	.	PUNCT
app01-10202	95	1	with	with	ADP
app01-10202	95	2	these	these	DET
app01-10202	95	3	notations	notation	NOUN
app01-10202	95	4	in	in	ADP
app01-10202	95	5	hand	hand	NOUN
app01-10202	95	6	,	,	PUNCT
app01-10202	95	7	the	the	DET
app01-10202	95	8	weak	weak	ADJ
app01-10202	95	9	form	form	NOUN
app01-10202	95	10	of	of	ADP
app01-10202	95	11	our	our	PRON
app01-10202	95	12	problem	problem	NOUN
app01-10202	95	13	reads	read	VERB
app01-10202	95	14	as	as	SCONJ
app01-10202	95	15	follows	follow	VERB
app01-10202	95	16	:	:	PUNCT
app01-10202	95	17	for	for	ADP
app01-10202	95	18	sufficiently	sufficiently	ADV
app01-10202	95	19	smooth	smooth	ADJ
app01-10202	95	20	data	datum	NOUN
app01-10202	95	21	f0	f0	PROPN
app01-10202	95	22	,	,	PUNCT
app01-10202	95	23	u0	u0	PROPN
app01-10202	95	24	,	,	PUNCT
app01-10202	95	25	v0	v0	PROPN
app01-10202	95	26	,	,	PUNCT
app01-10202	95	27	t̆0	t̆0	PUNCT
app01-10202	95	28	and	and	CCONJ
app01-10202	95	29	ŭ0	ŭ0	PUNCT
app01-10202	95	30	find	find	VERB
app01-10202	95	31	the	the	DET
app01-10202	95	32	displacement	displacement	ADJ
app01-10202	95	33	field	field	NOUN
app01-10202	95	34	u	u	NOUN
app01-10202	95	35	(	(	PUNCT
app01-10202	95	36	·	·	PROPN
app01-10202	95	37	,	,	PUNCT
app01-10202	95	38	t	t	PROPN
app01-10202	95	39	)	)	PUNCT
app01-10202	95	40	∈	∈	PROPN
app01-10202	95	41	st	st	PROPN
app01-10202	95	42	,	,	PUNCT
app01-10202	95	43	pressure	pressure	NOUN
app01-10202	95	44	p	p	X
app01-10202	95	45	(	(	PUNCT
app01-10202	95	46	·	·	PROPN
app01-10202	95	47	,	,	PUNCT
app01-10202	95	48	t	t	PROPN
app01-10202	95	49	)	)	PUNCT
app01-10202	95	50	∈	∈	PROPN
app01-10202	95	51	l2(ω0	l2(ω0	ADJ
app01-10202	95	52	)	)	PUNCT
app01-10202	95	53	,	,	PUNCT
app01-10202	95	54	the	the	DET
app01-10202	95	55	volume	volume	NOUN
app01-10202	95	56	filed	file	VERB
app01-10202	95	57	θ	θ	PROPN
app01-10202	95	58	(	(	PUNCT
app01-10202	95	59	·	·	NUM
app01-10202	95	60	,	,	PUNCT
app01-10202	95	61	t	t	PROPN
app01-10202	95	62	)	)	PUNCT
app01-10202	95	63	∈	∈	PROPN
app01-10202	95	64	l2(ω0	l2(ω0	ADJ
app01-10202	95	65	)	)	PUNCT
app01-10202	95	66	and	and	CCONJ
app01-10202	96	1	the	the	DET
app01-10202	96	2	internal	internal	ADJ
app01-10202	96	3	variable	variable	ADJ
app01-10202	96	4	q	q	NOUN
app01-10202	96	5	(	(	PUNCT
app01-10202	96	6	·	·	PUNCT
app01-10202	96	7	,	,	PUNCT
app01-10202	96	8	t	t	PROPN
app01-10202	96	9	)	)	PUNCT
app01-10202	96	10	∈	∈	PROPN
app01-10202	96	11	l2(ω0)3×3	l2(ω0)3×3	PROPN
app01-10202	96	12	,	,	PUNCT
app01-10202	96	13	such	such	ADJ
app01-10202	96	14	that	that	SCONJ
app01-10202	96	15	u	u	NOUN
app01-10202	96	16	(	(	PUNCT
app01-10202	96	17	·	·	PUNCT
app01-10202	96	18	,	,	PUNCT
app01-10202	96	19	0	0	NUM
app01-10202	96	20	)	)	PUNCT
app01-10202	96	21	=	=	SYM
app01-10202	97	1	u0	u0	ADJ
app01-10202	97	2	,	,	PUNCT
app01-10202	97	3	∂u	∂u	PROPN
app01-10202	97	4	∂t	∂t	PROPN
app01-10202	97	5	(	(	PUNCT
app01-10202	97	6	·	·	PUNCT
app01-10202	97	7	,	,	PUNCT
app01-10202	97	8	0	0	NUM
app01-10202	97	9	)	)	PUNCT
app01-10202	97	10	=	=	SYM
app01-10202	97	11	v0	v0	NOUN
app01-10202	97	12	and	and	CCONJ
app01-10202	97	13	q(0	q(0	PROPN
app01-10202	97	14	)	)	PUNCT
app01-10202	97	15	=	=	SYM
app01-10202	97	16	0	0	NUM
app01-10202	97	17	in	in	ADP
app01-10202	97	18	ω0	ω0	PROPN
app01-10202	97	19	and	and	CCONJ
app01-10202	97	20	:	:	PUNCT
app01-10202	97	21	∫	∫	PROPN
app01-10202	97	22	ω0	ω0	PROPN
app01-10202	97	23	ρ0	ρ0	PROPN
app01-10202	97	24	∂2u	∂2u	PROPN
app01-10202	97	25	∂t2	∂t2	PROPN
app01-10202	97	26	·	·	PUNCT
app01-10202	97	27	v	v	X
app01-10202	97	28	dω0	dω0	VERB
app01-10202	97	29	+	+	CCONJ
app01-10202	97	30	∫	∫	PROPN
app01-10202	97	31	ω0	ω0	PROPN
app01-10202	97	32	ŝ	ŝ	X
app01-10202	97	33	:	:	PUNCT
app01-10202	98	1	[	[	X
app01-10202	98	2	f	f	X
app01-10202	98	3	t	t	X
app01-10202	98	4	∇0v	∇0v	X
app01-10202	98	5	]	]	PUNCT
app01-10202	99	1	+	+	CCONJ
app01-10202	99	2	pjc−1	pjc−1	NOUN
app01-10202	99	3	:	:	PUNCT
app01-10202	100	1	[	[	X
app01-10202	100	2	f	f	X
app01-10202	100	3	t	t	X
app01-10202	100	4	∇0v	∇0v	PROPN
app01-10202	100	5	]	]	PUNCT
app01-10202	100	6	dω0	dω0	VERB
app01-10202	100	7	−	−	PROPN
app01-10202	100	8	∫	∫	PROPN
app01-10202	100	9	ω0	ω0	PROPN
app01-10202	100	10	q	q	NOUN
app01-10202	100	11	:	:	PUNCT
app01-10202	101	1	[	[	X
app01-10202	101	2	f	f	X
app01-10202	101	3	t	t	X
app01-10202	101	4	∇0v	∇0v	X
app01-10202	101	5	]	]	PUNCT
app01-10202	101	6	dω0	dω0	VERB
app01-10202	101	7	=	=	SYM
app01-10202	101	8	∫	∫	PROPN
app01-10202	101	9	ω0	ω0	PROPN
app01-10202	101	10	f0	f0	PROPN
app01-10202	101	11	·	·	PUNCT
app01-10202	101	12	v	v	NUM
app01-10202	101	13	dω0	dω0	VERB
app01-10202	101	14	+	+	NUM
app01-10202	101	15	∫	∫	NOUN
app01-10202	102	1	∂ωp	∂ωp	NOUN
app01-10202	102	2	t̆0	t̆0	NUM
app01-10202	102	3	·	·	PUNCT
app01-10202	102	4	v	v	NUM
app01-10202	102	5	ds0	ds0	PROPN
app01-10202	102	6	(	(	PUNCT
app01-10202	102	7	17	17	NUM
app01-10202	102	8	)	)	PUNCT
app01-10202	102	9	for	for	ADP
app01-10202	102	10	all	all	PRON
app01-10202	102	11	v	v	NOUN
app01-10202	102	12	∈	∈	PRON
app01-10202	102	13	hu(ω0	hu(ω0	VERB
app01-10202	102	14	)	)	PUNCT
app01-10202	102	15	and	and	CCONJ
app01-10202	102	16	all	all	DET
app01-10202	102	17	t	t	NOUN
app01-10202	102	18	∈	∈	PROPN
app01-10202	103	1	[	[	X
app01-10202	103	2	0	0	NUM
app01-10202	103	3	,	,	PUNCT
app01-10202	103	4	t	t	X
app01-10202	103	5	]	]	PUNCT
app01-10202	103	6	,	,	PUNCT
app01-10202	103	7	∫	∫	PROPN
app01-10202	103	8	ω0	ω0	PROPN
app01-10202	103	9	[	[	X
app01-10202	103	10	p−	p−	NOUN
app01-10202	103	11	κ(θ	κ(θ	PROPN
app01-10202	103	12	−	−	PROPN
app01-10202	103	13	1)]ψ	1)]ψ	NUM
app01-10202	103	14	dω0	dω0	VERB
app01-10202	103	15	=	=	SYM
app01-10202	103	16	0	0	NUM
app01-10202	103	17	(	(	PUNCT
app01-10202	103	18	18	18	NUM
app01-10202	103	19	)	)	PUNCT
app01-10202	103	20	for	for	ADP
app01-10202	103	21	all	all	DET
app01-10202	103	22	ψ	ψ	ADP
app01-10202	103	23	∈	∈	PROPN
app01-10202	103	24	l2(ω0	l2(ω0	ADJ
app01-10202	103	25	)	)	PUNCT
app01-10202	103	26	and	and	CCONJ
app01-10202	103	27	all	all	DET
app01-10202	103	28	t	t	NOUN
app01-10202	103	29	∈	∈	PROPN
app01-10202	104	1	[	[	X
app01-10202	104	2	0	0	NUM
app01-10202	104	3	,	,	PUNCT
app01-10202	104	4	t	t	PROPN
app01-10202	104	5	]	]	PUNCT
app01-10202	104	6	and:∫	and:∫	PROPN
app01-10202	104	7	ω0	ω0	PROPN
app01-10202	104	8	(	(	PUNCT
app01-10202	104	9	j	j	PROPN
app01-10202	104	10	−	−	PROPN
app01-10202	104	11	θ)q	θ)q	PUNCT
app01-10202	104	12	dω0	dω0	VERB
app01-10202	104	13	=	=	SYM
app01-10202	104	14	0	0	NUM
app01-10202	104	15	(	(	PUNCT
app01-10202	104	16	19	19	NUM
app01-10202	104	17	)	)	PUNCT
app01-10202	104	18	for	for	ADP
app01-10202	104	19	all	all	DET
app01-10202	104	20	q	q	PROPN
app01-10202	104	21	∈	∈	PROPN
app01-10202	104	22	l2(ω0	l2(ω0	ADJ
app01-10202	104	23	)	)	PUNCT
app01-10202	104	24	and	and	CCONJ
app01-10202	104	25	all	all	DET
app01-10202	104	26	t	t	NOUN
app01-10202	104	27	∈	∈	PROPN
app01-10202	105	1	[	[	X
app01-10202	105	2	0	0	NUM
app01-10202	105	3	,	,	PUNCT
app01-10202	105	4	t	t	X
app01-10202	105	5	]	]	PUNCT
app01-10202	105	6	.	.	PUNCT
app01-10202	106	1	finally	finally	ADV
app01-10202	106	2	:	:	PUNCT
app01-10202	106	3	dαq	dαq	VERB
app01-10202	106	4	+	+	NOUN
app01-10202	106	5	1	1	NUM
app01-10202	106	6	τα	τα	NOUN
app01-10202	106	7	q	q	NOUN
app01-10202	106	8	=	=	SYM
app01-10202	106	9	1	1	NUM
app01-10202	106	10	τα	τα	NOUN
app01-10202	106	11	ŝ	ŝ	PROPN
app01-10202	106	12	,	,	PUNCT
app01-10202	106	13	τ	τ	X
app01-10202	106	14	>	>	X
app01-10202	106	15	0	0	PROPN
app01-10202	106	16	,	,	PUNCT
app01-10202	106	17	α	α	PROPN
app01-10202	106	18	∈	∈	PROPN
app01-10202	106	19	(	(	PUNCT
app01-10202	106	20	0	0	NUM
app01-10202	106	21	,	,	PUNCT
app01-10202	106	22	1	1	NUM
app01-10202	106	23	]	]	PUNCT
app01-10202	106	24	,	,	PUNCT
app01-10202	106	25	(	(	PUNCT
app01-10202	106	26	20	20	NUM
app01-10202	106	27	)	)	PUNCT
app01-10202	106	28	holds	hold	VERB
app01-10202	106	29	almost	almost	ADV
app01-10202	106	30	everywhere	everywhere	ADV
app01-10202	106	31	in	in	ADP
app01-10202	106	32	ω0	ω0	PROPN
app01-10202	106	33	and	and	CCONJ
app01-10202	106	34	for	for	ADP
app01-10202	106	35	all	all	DET
app01-10202	106	36	t	t	NOUN
app01-10202	106	37	∈	∈	PROPN
app01-10202	107	1	[	[	X
app01-10202	107	2	0	0	NUM
app01-10202	107	3	,	,	PUNCT
app01-10202	107	4	t	t	X
app01-10202	107	5	]	]	PUNCT
app01-10202	107	6	.	.	PUNCT
app01-10202	108	1	here	here	ADV
app01-10202	108	2	:	:	PUNCT
app01-10202	108	3	ŝ	ŝ	X
app01-10202	108	4	=	=	SYM
app01-10202	108	5	2∂ŵ	2∂ŵ	NUM
app01-10202	108	6	∂c	∂c	NUM
app01-10202	108	7	15	15	NUM
app01-10202	108	8	barbora	barbora	PROPN
app01-10202	108	9	hálková	hálková	PROPN
app01-10202	108	10	,	,	PUNCT
app01-10202	108	11	michal	michal	PROPN
app01-10202	108	12	beneš	beneš	PROPN
app01-10202	108	13	acta	acta	PROPN
app01-10202	108	14	polytechnica	polytechnica	PROPN
app01-10202	108	15	ctu	ctu	NOUN
app01-10202	108	16	proceedings	proceeding	NOUN
app01-10202	108	17	denotes	denote	VERB
app01-10202	108	18	the	the	DET
app01-10202	108	19	computational	computational	ADJ
app01-10202	108	20	deviatoric	deviatoric	ADJ
app01-10202	108	21	second	second	ADJ
app01-10202	108	22	piolakirchhoff	piolakirchhoff	NOUN
app01-10202	108	23	stress	stress	NOUN
app01-10202	108	24	.	.	PUNCT
app01-10202	109	1	the	the	DET
app01-10202	109	2	equation	equation	NOUN
app01-10202	109	3	(	(	PUNCT
app01-10202	109	4	17	17	NUM
app01-10202	109	5	)	)	PUNCT
app01-10202	109	6	denotes	denote	VERB
app01-10202	109	7	the	the	DET
app01-10202	109	8	weak	weak	ADJ
app01-10202	109	9	form	form	NOUN
app01-10202	109	10	of	of	ADP
app01-10202	109	11	the	the	DET
app01-10202	109	12	equation	equation	NOUN
app01-10202	109	13	of	of	ADP
app01-10202	109	14	motion	motion	NOUN
app01-10202	109	15	(	(	PUNCT
app01-10202	109	16	1	1	NUM
app01-10202	109	17	)	)	PUNCT
app01-10202	109	18	.	.	PUNCT
app01-10202	110	1	the	the	DET
app01-10202	110	2	second	second	ADJ
app01-10202	110	3	equation	equation	NOUN
app01-10202	110	4	(	(	PUNCT
app01-10202	110	5	18	18	NUM
app01-10202	110	6	)	)	PUNCT
app01-10202	110	7	yields	yield	VERB
app01-10202	110	8	the	the	DET
app01-10202	110	9	constitutive	constitutive	ADJ
app01-10202	110	10	equation	equation	NOUN
app01-10202	110	11	for	for	ADP
app01-10202	110	12	the	the	DET
app01-10202	110	13	pressure	pressure	NOUN
app01-10202	110	14	p	p	NOUN
app01-10202	110	15	,	,	PUNCT
app01-10202	110	16	see	see	VERB
app01-10202	110	17	also	also	ADV
app01-10202	110	18	equation	equation	NOUN
app01-10202	110	19	(	(	PUNCT
app01-10202	110	20	11	11	NUM
app01-10202	110	21	)	)	PUNCT
app01-10202	110	22	,	,	PUNCT
app01-10202	110	23	and	and	CCONJ
app01-10202	110	24	the	the	DET
app01-10202	110	25	third	third	ADJ
app01-10202	110	26	equation	equation	NOUN
app01-10202	110	27	(	(	PUNCT
app01-10202	110	28	19	19	NUM
app01-10202	110	29	)	)	PUNCT
app01-10202	110	30	reproduces	reproduce	VERB
app01-10202	110	31	the	the	DET
app01-10202	110	32	constraint	constraint	NOUN
app01-10202	110	33	condition	condition	NOUN
app01-10202	110	34	(	(	PUNCT
app01-10202	110	35	10	10	NUM
app01-10202	110	36	)	)	PUNCT
app01-10202	110	37	.	.	PUNCT
app01-10202	111	1	4	4	X
app01-10202	111	2	.	.	X
app01-10202	111	3	numerical	numerical	ADJ
app01-10202	111	4	algorithm	algorithm	PROPN
app01-10202	111	5	here	here	ADV
app01-10202	111	6	we	we	PRON
app01-10202	111	7	outline	outline	VERB
app01-10202	111	8	a	a	DET
app01-10202	111	9	general	general	ADJ
app01-10202	111	10	numerical	numerical	ADJ
app01-10202	111	11	solution	solution	NOUN
app01-10202	111	12	scheme	scheme	NOUN
app01-10202	111	13	for	for	ADP
app01-10202	111	14	the	the	DET
app01-10202	111	15	viscoelastic	viscoelastic	ADJ
app01-10202	111	16	problem	problem	NOUN
app01-10202	111	17	(	(	PUNCT
app01-10202	111	18	extended	extend	VERB
app01-10202	111	19	to	to	ADP
app01-10202	111	20	fractional	fractional	ADJ
app01-10202	111	21	viscoelasticity	viscoelasticity	NOUN
app01-10202	111	22	)	)	PUNCT
app01-10202	111	23	within	within	ADP
app01-10202	111	24	the	the	DET
app01-10202	111	25	context	context	NOUN
app01-10202	111	26	of	of	ADP
app01-10202	111	27	the	the	DET
app01-10202	111	28	finite	finite	ADJ
app01-10202	111	29	-	-	ADJ
app01-10202	111	30	element	element	ADJ
app01-10202	111	31	method	method	NOUN
app01-10202	111	32	.	.	PUNCT
app01-10202	112	1	the	the	DET
app01-10202	112	2	point	point	NOUN
app01-10202	112	3	of	of	ADP
app01-10202	112	4	departure	departure	NOUN
app01-10202	112	5	in	in	ADP
app01-10202	112	6	our	our	PRON
app01-10202	112	7	developments	development	NOUN
app01-10202	112	8	is	be	AUX
app01-10202	112	9	the	the	DET
app01-10202	112	10	weak	weak	ADJ
app01-10202	112	11	formulation	formulation	NOUN
app01-10202	112	12	introduced	introduce	VERB
app01-10202	112	13	in	in	ADP
app01-10202	112	14	the	the	DET
app01-10202	112	15	preceding	precede	VERB
app01-10202	112	16	section	section	NOUN
app01-10202	112	17	.	.	PUNCT
app01-10202	113	1	for	for	ADP
app01-10202	113	2	simplicity	simplicity	NOUN
app01-10202	113	3	,	,	PUNCT
app01-10202	113	4	we	we	PRON
app01-10202	113	5	will	will	AUX
app01-10202	113	6	assume	assume	VERB
app01-10202	113	7	that	that	SCONJ
app01-10202	113	8	the	the	DET
app01-10202	113	9	displacement	displacement	ADJ
app01-10202	113	10	boundary	boundary	ADJ
app01-10202	113	11	conditions	condition	NOUN
app01-10202	113	12	are	be	AUX
app01-10202	113	13	homogeneous	homogeneous	ADJ
app01-10202	113	14	,	,	PUNCT
app01-10202	113	15	i.e.	i.e.	X
app01-10202	113	16	:	:	PUNCT
app01-10202	113	17	u	u	NOUN
app01-10202	113	18	(	(	PUNCT
app01-10202	113	19	·	·	PUNCT
app01-10202	113	20	,	,	PUNCT
app01-10202	113	21	t	t	PROPN
app01-10202	113	22	)	)	PUNCT
app01-10202	113	23	=	=	SYM
app01-10202	113	24	ŭ0	ŭ0	X
app01-10202	113	25	(	(	PUNCT
app01-10202	113	26	·	·	PROPN
app01-10202	113	27	,	,	PUNCT
app01-10202	113	28	t	t	PROPN
app01-10202	113	29	)	)	PUNCT
app01-10202	113	30	≡	≡	PROPN
app01-10202	113	31	0	0	NUM
app01-10202	113	32	on	on	ADP
app01-10202	113	33	∂ωu	∂ωu	PROPN
app01-10202	113	34	.	.	PUNCT
app01-10202	114	1	we	we	PRON
app01-10202	114	2	begin	begin	VERB
app01-10202	114	3	by	by	ADP
app01-10202	114	4	traditional	traditional	ADJ
app01-10202	114	5	discretization	discretization	NOUN
app01-10202	114	6	in	in	ADP
app01-10202	114	7	space	space	NOUN
app01-10202	114	8	by	by	ADP
app01-10202	114	9	the	the	DET
app01-10202	114	10	finite	finite	PROPN
app01-10202	114	11	element	element	NOUN
app01-10202	114	12	method	method	NOUN
app01-10202	114	13	.	.	PUNCT
app01-10202	115	1	let	let	VERB
app01-10202	115	2	us	we	PRON
app01-10202	115	3	define	define	VERB
app01-10202	115	4	:	:	PUNCT
app01-10202	115	5	uh	uh	INTJ
app01-10202	115	6	=	=	VERB
app01-10202	115	7	ψt	ψt	VERB
app01-10202	115	8	u	u	PROPN
app01-10202	115	9	ũ	ũ	PROPN
app01-10202	115	10	,	,	PUNCT
app01-10202	115	11	uh	uh	INTJ
app01-10202	115	12	∣∣∣∣	∣∣∣∣	NOUN
app01-10202	115	13	ωe	ωe	ADV
app01-10202	115	14	=	=	PUNCT
app01-10202	115	15	nnu∑	nnu∑	ADJ
app01-10202	115	16	i=1	i=1	PROPN
app01-10202	115	17	ψi	ψi	ADV
app01-10202	115	18	u(x)ũi(t	u(x)ũi(t	NOUN
app01-10202	115	19	)	)	PUNCT
app01-10202	115	20	(	(	PUNCT
app01-10202	115	21	21	21	NUM
app01-10202	115	22	)	)	PUNCT
app01-10202	115	23	for	for	ADP
app01-10202	115	24	all	all	DET
app01-10202	115	25	uh	uh	INTJ
app01-10202	115	26	∈	∈	NOUN
app01-10202	115	27	hh	hh	INTJ
app01-10202	115	28	u	u	NOUN
app01-10202	115	29	⊂	⊂	PROPN
app01-10202	115	30	hu(ω0	hu(ω0	ADJ
app01-10202	115	31	)	)	PUNCT
app01-10202	115	32	,	,	PUNCT
app01-10202	115	33	θh	θh	NOUN
app01-10202	115	34	=	=	PUNCT
app01-10202	115	35	ψt	ψt	NOUN
app01-10202	115	36	θ	θ	PROPN
app01-10202	115	37	θ̃	θ̃	PROPN
app01-10202	115	38	,	,	PUNCT
app01-10202	115	39	θh	θh	NOUN
app01-10202	115	40	∣∣∣∣	∣∣∣∣	NOUN
app01-10202	115	41	ωe	ωe	ADP
app01-10202	115	42	=	=	PUNCT
app01-10202	115	43	nnθ∑	nnθ∑	AUX
app01-10202	115	44	i=1	i=1	NOUN
app01-10202	115	45	ψi	ψi	ADP
app01-10202	115	46	θ(x)θ̃i(t	θ(x)θ̃i(t	NOUN
app01-10202	115	47	)	)	PUNCT
app01-10202	115	48	(	(	PUNCT
app01-10202	115	49	22	22	NUM
app01-10202	115	50	)	)	PUNCT
app01-10202	115	51	for	for	ADP
app01-10202	115	52	all	all	DET
app01-10202	115	53	θh	θh	NOUN
app01-10202	115	54	∈	∈	PRON
app01-10202	115	55	lh	lh	PROPN
app01-10202	115	56	⊂	⊂	PROPN
app01-10202	115	57	l2(ω0	l2(ω0	ADJ
app01-10202	115	58	)	)	PUNCT
app01-10202	115	59	,	,	PUNCT
app01-10202	115	60	ph	ph	NOUN
app01-10202	115	61	=	=	SYM
app01-10202	115	62	ψt	ψt	NOUN
app01-10202	115	63	p	p	PROPN
app01-10202	115	64	p̃	p̃	PROPN
app01-10202	115	65	,	,	PUNCT
app01-10202	115	66	ph	ph	ADJ
app01-10202	115	67	∣∣∣∣	∣∣∣∣	NOUN
app01-10202	115	68	ωe	ωe	ADP
app01-10202	115	69	=	=	SYM
app01-10202	115	70	nnp∑	nnp∑	X
app01-10202	115	71	i=1	i=1	PRON
app01-10202	115	72	ψi	ψi	ADP
app01-10202	115	73	p(x)p̃i(t	p(x)p̃i(t	NOUN
app01-10202	115	74	)	)	PUNCT
app01-10202	115	75	,	,	PUNCT
app01-10202	115	76	(	(	PUNCT
app01-10202	115	77	23	23	NUM
app01-10202	115	78	)	)	PUNCT
app01-10202	115	79	for	for	ADP
app01-10202	115	80	all	all	DET
app01-10202	115	81	ph	ph	NOUN
app01-10202	115	82	∈	∈	PROPN
app01-10202	115	83	lh	lh	PROPN
app01-10202	115	84	⊂	⊂	PROPN
app01-10202	115	85	l2(ω0	l2(ω0	ADJ
app01-10202	115	86	)	)	PUNCT
app01-10202	115	87	and	and	CCONJ
app01-10202	115	88	:	:	PUNCT
app01-10202	115	89	qh	qh	NOUN
app01-10202	115	90	=	=	NOUN
app01-10202	115	91	ψt	ψt	PROPN
app01-10202	115	92	qq̃	qq̃	PROPN
app01-10202	115	93	,	,	PUNCT
app01-10202	115	94	qh	qh	NOUN
app01-10202	115	95	∣∣∣∣	∣∣∣∣	NOUN
app01-10202	115	96	ωe	ωe	ADV
app01-10202	115	97	=	=	PUNCT
app01-10202	115	98	nnq∑	nnq∑	PROPN
app01-10202	115	99	i=1	i=1	PRON
app01-10202	115	100	ψi	ψi	ADP
app01-10202	115	101	q(x)q̃i(t	q(x)q̃i(t	NOUN
app01-10202	115	102	)	)	PUNCT
app01-10202	115	103	(	(	PUNCT
app01-10202	115	104	24	24	NUM
app01-10202	115	105	)	)	PUNCT
app01-10202	115	106	for	for	ADP
app01-10202	115	107	all	all	DET
app01-10202	115	108	qh	qh	NOUN
app01-10202	115	109	∈	∈	PROPN
app01-10202	115	110	[	[	X
app01-10202	115	111	lh]3×3	lh]3×3	X
app01-10202	115	112	⊂	⊂	PROPN
app01-10202	115	113	l2(ω0)3×3	l2(ω0)3×3	PROPN
app01-10202	115	114	.	.	PUNCT
app01-10202	116	1	here	here	ADV
app01-10202	116	2	we	we	PRON
app01-10202	116	3	denoted	denote	VERB
app01-10202	116	4	by	by	ADP
app01-10202	116	5	hh	hh	PROPN
app01-10202	116	6	u	u	PROPN
app01-10202	116	7	and	and	CCONJ
app01-10202	116	8	lh	lh	PROPN
app01-10202	116	9	the	the	DET
app01-10202	116	10	finite	finite	PROPN
app01-10202	116	11	element	element	NOUN
app01-10202	116	12	subspace	subspace	NOUN
app01-10202	116	13	of	of	ADP
app01-10202	116	14	the	the	DET
app01-10202	116	15	space	space	NOUN
app01-10202	116	16	hu(ω0	hu(ω0	VERB
app01-10202	116	17	)	)	PUNCT
app01-10202	116	18	and	and	CCONJ
app01-10202	116	19	l2(ω0	l2(ω0	ADJ
app01-10202	116	20	)	)	PUNCT
app01-10202	116	21	,	,	PUNCT
app01-10202	116	22	respectively	respectively	ADV
app01-10202	116	23	.	.	PUNCT
app01-10202	117	1	let	let	VERB
app01-10202	117	2	now	now	ADV
app01-10202	117	3	0	0	NUM
app01-10202	118	1	=	=	SYM
app01-10202	118	2	t0	t0	PROPN
app01-10202	118	3	<	<	X
app01-10202	118	4	t1	t1	X
app01-10202	118	5	<	<	X
app01-10202	118	6	·	·	PUNCT
app01-10202	118	7	·	·	PUNCT
app01-10202	118	8	·	·	PUNCT
app01-10202	119	1	<	<	X
app01-10202	119	2	tr	tr	VERB
app01-10202	119	3	=	=	SYM
app01-10202	119	4	t	t	PROPN
app01-10202	119	5	be	be	AUX
app01-10202	119	6	an	an	DET
app01-10202	119	7	equidistant	equidistant	ADJ
app01-10202	119	8	partitioning	partitioning	NOUN
app01-10202	119	9	of	of	ADP
app01-10202	119	10	the	the	DET
app01-10202	119	11	time	time	NOUN
app01-10202	119	12	interval	interval	NOUN
app01-10202	119	13	[	[	X
app01-10202	119	14	0	0	NUM
app01-10202	119	15	,	,	PUNCT
app01-10202	119	16	t	t	X
app01-10202	119	17	]	]	PUNCT
app01-10202	119	18	with	with	ADP
app01-10202	119	19	the	the	DET
app01-10202	119	20	discrete	discrete	ADJ
app01-10202	119	21	time	time	NOUN
app01-10202	119	22	step	step	NOUN
app01-10202	119	23	∆t	∆t	PROPN
app01-10202	119	24	,	,	PUNCT
app01-10202	119	25	{	{	PUNCT
app01-10202	119	26	tn}r	tn}r	NOUN
app01-10202	119	27	n=0	n=0	NUM
app01-10202	119	28	,	,	PUNCT
app01-10202	119	29	∆t	∆t	PROPN
app01-10202	119	30	=	=	SYM
app01-10202	119	31	t	t	NOUN
app01-10202	119	32	r	r	NOUN
app01-10202	119	33	.	.	PUNCT
app01-10202	120	1	for	for	ADP
app01-10202	120	2	any	any	DET
app01-10202	120	3	function	function	NOUN
app01-10202	120	4	,	,	PUNCT
app01-10202	120	5	vector	vector	NOUN
app01-10202	120	6	-	-	PUNCT
app01-10202	120	7	valued	value	VERB
app01-10202	120	8	function	function	NOUN
app01-10202	120	9	or	or	CCONJ
app01-10202	120	10	tensor	tensor	NOUN
app01-10202	120	11	ζ	ζ	NOUN
app01-10202	120	12	,	,	PUNCT
app01-10202	120	13	we	we	PRON
app01-10202	120	14	will	will	AUX
app01-10202	120	15	use	use	VERB
app01-10202	120	16	the	the	DET
app01-10202	120	17	approximation	approximation	NOUN
app01-10202	120	18	ζn	ζn	ADP
app01-10202	120	19	≈	≈	PROPN
app01-10202	120	20	ζ(tn	ζ(tn	PROPN
app01-10202	120	21	)	)	PUNCT
app01-10202	120	22	and	and	CCONJ
app01-10202	120	23	introduce	introduce	VERB
app01-10202	120	24	the	the	DET
app01-10202	120	25	notation	notation	NOUN
app01-10202	120	26	:	:	PUNCT
app01-10202	120	27	ζn+β	ζn+β	ADJ
app01-10202	120	28	=	=	SYM
app01-10202	120	29	(	(	PUNCT
app01-10202	120	30	1	1	NUM
app01-10202	120	31	−	−	PRON
app01-10202	120	32	β)ζn	β)ζn	PROPN
app01-10202	120	33	+	+	NUM
app01-10202	120	34	βζn+1	βζn+1	PROPN
app01-10202	120	35	,	,	PUNCT
app01-10202	120	36	β	β	X
app01-10202	120	37	∈	∈	PROPN
app01-10202	121	1	[	[	X
app01-10202	121	2	0	0	NUM
app01-10202	121	3	,	,	PUNCT
app01-10202	121	4	1	1	NUM
app01-10202	121	5	]	]	PUNCT
app01-10202	121	6	.	.	PUNCT
app01-10202	122	1	(	(	PUNCT
app01-10202	122	2	25	25	NUM
app01-10202	122	3	)	)	PUNCT
app01-10202	122	4	our	our	PRON
app01-10202	122	5	goal	goal	NOUN
app01-10202	122	6	is	be	AUX
app01-10202	122	7	to	to	PART
app01-10202	122	8	develop	develop	VERB
app01-10202	122	9	time	time	NOUN
app01-10202	122	10	discretization	discretization	NOUN
app01-10202	122	11	schemes	scheme	NOUN
app01-10202	122	12	for	for	ADP
app01-10202	122	13	which	which	PRON
app01-10202	122	14	a	a	DET
app01-10202	122	15	discrete	discrete	ADJ
app01-10202	122	16	form	form	NOUN
app01-10202	122	17	of	of	ADP
app01-10202	122	18	the	the	DET
app01-10202	122	19	problem	problem	NOUN
app01-10202	122	20	(	(	PUNCT
app01-10202	122	21	17	17	NUM
app01-10202	122	22	)	)	PUNCT
app01-10202	122	23	–	–	PUNCT
app01-10202	122	24	(	(	PUNCT
app01-10202	122	25	20	20	NUM
app01-10202	122	26	)	)	PUNCT
app01-10202	122	27	can	can	AUX
app01-10202	122	28	be	be	AUX
app01-10202	122	29	established	establish	VERB
app01-10202	122	30	.	.	PUNCT
app01-10202	123	1	replacing	replace	VERB
app01-10202	123	2	the	the	DET
app01-10202	123	3	second	second	ADJ
app01-10202	123	4	order	order	NOUN
app01-10202	123	5	derivative	derivative	NOUN
app01-10202	123	6	in	in	ADP
app01-10202	123	7	(	(	PUNCT
app01-10202	123	8	17	17	NUM
app01-10202	123	9	)	)	PUNCT
app01-10202	123	10	by	by	ADP
app01-10202	123	11	the	the	DET
app01-10202	123	12	discrete	discrete	ADJ
app01-10202	123	13	derivative	derivative	ADJ
app01-10202	123	14	,	,	PUNCT
app01-10202	123	15	∂2u	∂2u	ADJ
app01-10202	123	16	∂t2	∂t2	PROPN
app01-10202	123	17	≈	≈	PROPN
app01-10202	123	18	uh	uh	INTJ
app01-10202	123	19	n+1−2uh	n+1−2uh	ADJ
app01-10202	123	20	n+uh	n+uh	NOUN
app01-10202	123	21	n−1	n−1	PROPN
app01-10202	123	22	∆t	∆t	NOUN
app01-10202	123	23	,	,	PUNCT
app01-10202	123	24	and	and	CCONJ
app01-10202	123	25	incorporating	incorporate	VERB
app01-10202	123	26	the	the	DET
app01-10202	123	27	generalized	generalized	ADJ
app01-10202	123	28	midpoint	midpoint	NOUN
app01-10202	123	29	rule	rule	NOUN
app01-10202	123	30	(	(	PUNCT
app01-10202	123	31	25	25	NUM
app01-10202	123	32	)	)	PUNCT
app01-10202	123	33	into	into	ADP
app01-10202	123	34	the	the	DET
app01-10202	123	35	weak	weak	ADJ
app01-10202	123	36	formulation	formulation	NOUN
app01-10202	123	37	(	(	PUNCT
app01-10202	123	38	17)–(19	17)–(19	NUM
app01-10202	123	39	)	)	PUNCT
app01-10202	123	40	,	,	PUNCT
app01-10202	123	41	the	the	DET
app01-10202	123	42	final	final	ADJ
app01-10202	123	43	result	result	NOUN
app01-10202	123	44	is	be	AUX
app01-10202	123	45	the	the	DET
app01-10202	123	46	generalized	generalized	ADJ
app01-10202	123	47	β	β	NOUN
app01-10202	123	48	-	-	NOUN
app01-10202	123	49	scheme	scheme	NOUN
app01-10202	123	50	of	of	ADP
app01-10202	123	51	the	the	DET
app01-10202	123	52	form	form	NOUN
app01-10202	123	53	:	:	PUNCT
app01-10202	123	54	ru	ru	PROPN
app01-10202	123	55	=	=	SYM
app01-10202	124	1	−	−	PROPN
app01-10202	124	2	∫	∫	PROPN
app01-10202	124	3	ω0	ω0	PROPN
app01-10202	124	4	ρ0	ρ0	PROPN
app01-10202	124	5	(	(	PUNCT
app01-10202	124	6	uh	uh	INTJ
app01-10202	124	7	n+1	n+1	PROPN
app01-10202	124	8	−	−	PROPN
app01-10202	124	9	2uh	2uh	ADJ
app01-10202	124	10	n	n	PROPN
app01-10202	124	11	+	+	CCONJ
app01-10202	124	12	uh	uh	INTJ
app01-10202	124	13	n−1	n−1	PROPN
app01-10202	124	14	∆t	∆t	PROPN
app01-10202	124	15	)	)	PUNCT
app01-10202	124	16	·	·	PUNCT
app01-10202	125	1	δuh	δuh	NOUN
app01-10202	125	2	dω0	dω0	VERB
app01-10202	125	3	−	−	PROPN
app01-10202	125	4	β∆t	β∆t	NUM
app01-10202	125	5	∫	∫	PROPN
app01-10202	125	6	ω0	ω0	PROPN
app01-10202	125	7	ŝn−1+β	ŝn−1+β	PROPN
app01-10202	125	8	:	:	PUNCT
app01-10202	125	9	[	[	PUNCT
app01-10202	125	10	f	f	X
app01-10202	125	11	t	t	PROPN
app01-10202	125	12	n−1+β(∇0	n−1+β(∇0	VERB
app01-10202	125	13	δu	δu	ADP
app01-10202	125	14	h	h	NOUN
app01-10202	125	15	)	)	PUNCT
app01-10202	125	16	]	]	PUNCT
app01-10202	126	1	dω0	dω0	VERB
app01-10202	126	2	−	−	PROPN
app01-10202	126	3	β∆t	β∆t	PUNCT
app01-10202	126	4	∫	∫	PROPN
app01-10202	126	5	ω0	ω0	PROPN
app01-10202	126	6	ph	ph	PROPN
app01-10202	126	7	n−1+β	n−1+β	PROPN
app01-10202	126	8	jn−1+βc−1	jn−1+βc−1	PROPN
app01-10202	126	9	n−1+β	n−1+β	PROPN
app01-10202	126	10	:	:	PUNCT
app01-10202	126	11	[	[	PUNCT
app01-10202	126	12	f	f	X
app01-10202	126	13	t	t	PROPN
app01-10202	126	14	n−1+β(∇0	n−1+β(∇0	VERB
app01-10202	126	15	δu	δu	ADP
app01-10202	126	16	h	h	NOUN
app01-10202	126	17	)	)	PUNCT
app01-10202	126	18	]	]	PUNCT
app01-10202	127	1	dω0	dω0	VERB
app01-10202	127	2	−	−	PROPN
app01-10202	127	3	β∆t	β∆t	NUM
app01-10202	127	4	∫	∫	PROPN
app01-10202	127	5	ω0	ω0	PROPN
app01-10202	127	6	qn−1+β	qn−1+β	PROPN
app01-10202	127	7	:	:	PUNCT
app01-10202	127	8	[	[	PUNCT
app01-10202	127	9	f	f	X
app01-10202	127	10	t	t	PROPN
app01-10202	127	11	n−1+β(∇0	n−1+β(∇0	VERB
app01-10202	127	12	δu	δu	ADP
app01-10202	127	13	h	h	NOUN
app01-10202	127	14	)	)	PUNCT
app01-10202	127	15	]	]	PUNCT
app01-10202	128	1	dω0	dω0	VERB
app01-10202	128	2	−	−	PROPN
app01-10202	128	3	(	(	PUNCT
app01-10202	128	4	1	1	NUM
app01-10202	128	5	−	−	NOUN
app01-10202	128	6	β)∆t	β)∆t	PUNCT
app01-10202	128	7	∫	∫	PROPN
app01-10202	128	8	ω0	ω0	PROPN
app01-10202	128	9	ŝn+β	ŝn+β	PUNCT
app01-10202	128	10	:	:	PUNCT
app01-10202	128	11	[	[	PUNCT
app01-10202	128	12	f	f	X
app01-10202	128	13	t	t	PROPN
app01-10202	128	14	n+β(∇0	n+β(∇0	VERB
app01-10202	128	15	δu	δu	ADP
app01-10202	128	16	h	h	NOUN
app01-10202	128	17	)	)	PUNCT
app01-10202	128	18	]	]	PUNCT
app01-10202	129	1	dω0	dω0	VERB
app01-10202	129	2	−	−	PROPN
app01-10202	129	3	(	(	PUNCT
app01-10202	129	4	1	1	NUM
app01-10202	129	5	−	−	NOUN
app01-10202	129	6	β)∆t	β)∆t	PUNCT
app01-10202	129	7	∫	∫	PROPN
app01-10202	129	8	ω0	ω0	PROPN
app01-10202	129	9	ph	ph	AUX
app01-10202	130	1	n+βjn+βc−1	n+βjn+βc−1	VERB
app01-10202	130	2	n+β	n+β	NUM
app01-10202	130	3	:	:	PUNCT
app01-10202	130	4	[	[	PUNCT
app01-10202	130	5	f	f	X
app01-10202	130	6	t	t	PROPN
app01-10202	130	7	n+β(∇0	n+β(∇0	VERB
app01-10202	130	8	δu	δu	ADP
app01-10202	130	9	h	h	NOUN
app01-10202	130	10	)	)	PUNCT
app01-10202	130	11	]	]	PUNCT
app01-10202	131	1	dω0	dω0	VERB
app01-10202	131	2	−	−	PROPN
app01-10202	131	3	(	(	PUNCT
app01-10202	131	4	1	1	NUM
app01-10202	131	5	−	−	NOUN
app01-10202	131	6	β)∆t	β)∆t	PUNCT
app01-10202	131	7	∫	∫	PROPN
app01-10202	131	8	ω0	ω0	PROPN
app01-10202	131	9	qn+β	qn+β	NUM
app01-10202	131	10	:	:	PUNCT
app01-10202	131	11	[	[	PUNCT
app01-10202	131	12	f	f	X
app01-10202	131	13	t	t	PROPN
app01-10202	131	14	n+β(∇0	n+β(∇0	VERB
app01-10202	131	15	δu	δu	ADP
app01-10202	131	16	h	h	NOUN
app01-10202	131	17	)	)	PUNCT
app01-10202	131	18	]	]	PUNCT
app01-10202	132	1	dω0	dω0	VERB
app01-10202	132	2	+	+	CCONJ
app01-10202	132	3	β∆t	β∆t	NUM
app01-10202	132	4	∫	∫	PROPN
app01-10202	132	5	ω0	ω0	PROPN
app01-10202	132	6	(	(	PUNCT
app01-10202	132	7	f0)n−1+β	f0)n−1+β	PROPN
app01-10202	132	8	·	·	PUNCT
app01-10202	132	9	δuh	δuh	NOUN
app01-10202	132	10	dω0	dω0	VERB
app01-10202	132	11	+	+	CCONJ
app01-10202	132	12	(	(	PUNCT
app01-10202	132	13	1	1	NUM
app01-10202	132	14	−	−	NOUN
app01-10202	132	15	β)∆t	β)∆t	PUNCT
app01-10202	132	16	∫	∫	PROPN
app01-10202	132	17	ω0	ω0	PROPN
app01-10202	132	18	(	(	PUNCT
app01-10202	132	19	f0)n+β	f0)n+β	X
app01-10202	132	20	·	·	PUNCT
app01-10202	132	21	δuh	δuh	NOUN
app01-10202	132	22	dω0	dω0	VERB
app01-10202	132	23	+	+	CCONJ
app01-10202	132	24	β∆t	β∆t	ADJ
app01-10202	132	25	∫	∫	NOUN
app01-10202	133	1	∂ωp	∂ωp	PROPN
app01-10202	133	2	(	(	PUNCT
app01-10202	133	3	t̆0)n−1+β	t̆0)n−1+β	CCONJ
app01-10202	133	4	·	·	PUNCT
app01-10202	133	5	δuh	δuh	NOUN
app01-10202	133	6	ds0	ds0	NOUN
app01-10202	133	7	+	+	CCONJ
app01-10202	133	8	(	(	PUNCT
app01-10202	133	9	1	1	NUM
app01-10202	133	10	−	−	NOUN
app01-10202	133	11	β)∆t	β)∆t	PUNCT
app01-10202	133	12	∫	∫	NOUN
app01-10202	133	13	∂ωp	∂ωp	PROPN
app01-10202	133	14	(	(	PUNCT
app01-10202	133	15	t̆0)n+β	t̆0)n+β	ADJ
app01-10202	133	16	·	·	PUNCT
app01-10202	133	17	δuh	δuh	NOUN
app01-10202	133	18	ds0	ds0	X
app01-10202	133	19	=	=	SYM
app01-10202	133	20	0	0	PROPN
app01-10202	133	21	(	(	PUNCT
app01-10202	133	22	26	26	NUM
app01-10202	133	23	)	)	PUNCT
app01-10202	133	24	for	for	ADP
app01-10202	133	25	all	all	DET
app01-10202	133	26	δuh	δuh	NOUN
app01-10202	133	27	∈	∈	PROPN
app01-10202	133	28	hh	hh	PROPN
app01-10202	133	29	u	u	NOUN
app01-10202	133	30	,	,	PUNCT
app01-10202	133	31	rθ	rθ	PROPN
app01-10202	133	32	=	=	PUNCT
app01-10202	133	33	−	−	PROPN
app01-10202	133	34	∆t	∆t	PROPN
app01-10202	133	35	∫	∫	PROPN
app01-10202	133	36	ω0	ω0	PROPN
app01-10202	133	37	[	[	PUNCT
app01-10202	133	38	κβ	κβ	X
app01-10202	133	39	(	(	PUNCT
app01-10202	133	40	θh	θh	NOUN
app01-10202	133	41	n−1+β	n−1+β	PROPN
app01-10202	133	42	−	−	PROPN
app01-10202	133	43	1	1	NUM
app01-10202	133	44	)	)	PUNCT
app01-10202	133	45	+	+	CCONJ
app01-10202	133	46	κ(1	κ(1	PROPN
app01-10202	133	47	−	−	PROPN
app01-10202	133	48	β	β	NOUN
app01-10202	133	49	)	)	PUNCT
app01-10202	133	50	(	(	PUNCT
app01-10202	133	51	θh	θh	X
app01-10202	133	52	n+β	n+β	NUM
app01-10202	133	53	−	−	NOUN
app01-10202	133	54	1	1	NUM
app01-10202	133	55	)	)	PUNCT
app01-10202	133	56	]	]	PUNCT
app01-10202	133	57	δθh	δθh	NOUN
app01-10202	133	58	dω0	dω0	VERB
app01-10202	133	59	√	√	NUM
app01-10202	133	60	+	+	CCONJ
app01-10202	133	61	∆t	∆t	PROPN
app01-10202	133	62	∫	∫	PROPN
app01-10202	133	63	ω0	ω0	PROPN
app01-10202	133	64	[	[	PUNCT
app01-10202	133	65	βph	βph	X
app01-10202	133	66	n−1+β	n−1+β	X
app01-10202	133	67	+	+	CCONJ
app01-10202	133	68	(	(	PUNCT
app01-10202	133	69	1	1	NUM
app01-10202	133	70	−	−	PROPN
app01-10202	133	71	β)ph	β)ph	PROPN
app01-10202	133	72	n+β	n+β	NUM
app01-10202	133	73	]	]	PUNCT
app01-10202	133	74	δθh	δθh	NOUN
app01-10202	133	75	dω0	dω0	VERB
app01-10202	133	76	=	=	SYM
app01-10202	133	77	0	0	NUM
app01-10202	134	1	(	(	PUNCT
app01-10202	135	1	27	27	NUM
app01-10202	135	2	)	)	PUNCT
app01-10202	135	3	for	for	ADP
app01-10202	135	4	all	all	DET
app01-10202	135	5	δθh	δθh	NOUN
app01-10202	135	6	∈	∈	PROPN
app01-10202	135	7	lh	lh	NOUN
app01-10202	135	8	and	and	CCONJ
app01-10202	135	9	:	:	PUNCT
app01-10202	135	10	rp	rp	NOUN
app01-10202	135	11	=	=	SYM
app01-10202	136	1	−	−	PROPN
app01-10202	136	2	∆t	∆t	PROPN
app01-10202	136	3	∫	∫	PROPN
app01-10202	136	4	ω0	ω0	PROPN
app01-10202	136	5	[	[	X
app01-10202	136	6	βjn−1+β	βjn−1+β	X
app01-10202	136	7	+	+	CCONJ
app01-10202	136	8	(	(	PUNCT
app01-10202	136	9	1	1	NUM
app01-10202	136	10	−	−	PROPN
app01-10202	136	11	β)jn+β	β)jn+β	PUNCT
app01-10202	136	12	]	]	PUNCT
app01-10202	136	13	δph	δph	NOUN
app01-10202	136	14	dω0	dω0	VERB
app01-10202	136	15	+	+	CCONJ
app01-10202	136	16	∆t	∆t	PROPN
app01-10202	136	17	∫	∫	PROPN
app01-10202	136	18	ω0	ω0	PROPN
app01-10202	136	19	[	[	PUNCT
app01-10202	136	20	βθh	βθh	NOUN
app01-10202	136	21	n−1+β	n−1+β	PROPN
app01-10202	137	1	+	+	CCONJ
app01-10202	138	1	(	(	PUNCT
app01-10202	138	2	1	1	NUM
app01-10202	138	3	−	−	PROPN
app01-10202	138	4	β)θh	β)θh	PROPN
app01-10202	138	5	n+β	n+β	NUM
app01-10202	138	6	]	]	PUNCT
app01-10202	138	7	δph	δph	NOUN
app01-10202	138	8	dω0	dω0	VERB
app01-10202	138	9	=	=	SYM
app01-10202	138	10	0	0	NUM
app01-10202	139	1	(	(	PUNCT
app01-10202	140	1	28	28	NUM
app01-10202	140	2	)	)	PUNCT
app01-10202	140	3	for	for	ADP
app01-10202	140	4	all	all	DET
app01-10202	140	5	δph	δph	NOUN
app01-10202	140	6	∈	∈	PROPN
app01-10202	140	7	lh	lh	PROPN
app01-10202	140	8	.	.	PUNCT
app01-10202	141	1	note	note	VERB
app01-10202	141	2	that	that	SCONJ
app01-10202	141	3	β	β	NOUN
app01-10202	141	4	serves	serve	VERB
app01-10202	141	5	as	as	ADP
app01-10202	141	6	a	a	DET
app01-10202	141	7	parameter	parameter	NOUN
app01-10202	141	8	to	to	PART
app01-10202	141	9	control	control	VERB
app01-10202	141	10	the	the	DET
app01-10202	141	11	implicitness	implicitness	NOUN
app01-10202	141	12	of	of	ADP
app01-10202	141	13	the	the	DET
app01-10202	141	14	algorithm	algorithm	NOUN
app01-10202	141	15	.	.	PUNCT
app01-10202	142	1	for	for	ADP
app01-10202	142	2	β	β	X
app01-10202	142	3	=	=	SYM
app01-10202	142	4	0	0	NUM
app01-10202	142	5	or	or	CCONJ
app01-10202	142	6	β	β	X
app01-10202	142	7	=	=	SYM
app01-10202	142	8	1	1	NUM
app01-10202	142	9	we	we	PRON
app01-10202	142	10	get	get	VERB
app01-10202	142	11	the	the	DET
app01-10202	142	12	explicit	explicit	ADJ
app01-10202	142	13	method	method	NOUN
app01-10202	142	14	.	.	PUNCT
app01-10202	143	1	setting	set	VERB
app01-10202	143	2	β	β	NOUN
app01-10202	143	3	=	=	SYM
app01-10202	143	4	1	1	NUM
app01-10202	143	5	2	2	NUM
app01-10202	143	6	we	we	PRON
app01-10202	143	7	obtain	obtain	VERB
app01-10202	143	8	the	the	DET
app01-10202	143	9	implicit	implicit	ADJ
app01-10202	143	10	method	method	NOUN
app01-10202	143	11	.	.	PUNCT
app01-10202	144	1	next	next	ADV
app01-10202	144	2	we	we	PRON
app01-10202	144	3	present	present	VERB
app01-10202	144	4	the	the	DET
app01-10202	144	5	algorithm	algorithm	NOUN
app01-10202	144	6	for	for	ADP
app01-10202	144	7	the	the	DET
app01-10202	144	8	integration	integration	NOUN
app01-10202	144	9	of	of	ADP
app01-10202	144	10	the	the	DET
app01-10202	144	11	rate	rate	NOUN
app01-10202	144	12	equation	equation	NOUN
app01-10202	144	13	(	(	PUNCT
app01-10202	144	14	20	20	NUM
app01-10202	144	15	)	)	PUNCT
app01-10202	144	16	.	.	PUNCT
app01-10202	145	1	first	first	ADV
app01-10202	145	2	,	,	PUNCT
app01-10202	145	3	the	the	DET
app01-10202	145	4	discrete	discrete	ADJ
app01-10202	145	5	fractional	fractional	ADJ
app01-10202	145	6	derivative	derivative	NOUN
app01-10202	145	7	of	of	ADP
app01-10202	145	8	order	order	NOUN
app01-10202	145	9	α	α	NOUN
app01-10202	145	10	at	at	ADP
app01-10202	145	11	time	time	NOUN
app01-10202	145	12	(	(	PUNCT
app01-10202	145	13	n+	n+	NUM
app01-10202	145	14	1)∆t	1)∆t	NUM
app01-10202	145	15	can	can	AUX
app01-10202	145	16	be	be	AUX
app01-10202	145	17	approximated	approximate	VERB
app01-10202	145	18	by	by	ADP
app01-10202	145	19	[	[	X
app01-10202	145	20	14	14	NUM
app01-10202	145	21	]	]	SYM
app01-10202	145	22	:	:	PUNCT
app01-10202	146	1	[	[	X
app01-10202	146	2	dαq]n+1	dαq]n+1	X
app01-10202	146	3	=	=	SYM
app01-10202	146	4	1	1	NUM
app01-10202	146	5	(	(	PUNCT
app01-10202	146	6	∆t)α	∆t)α	PROPN
app01-10202	146	7	n∑	n∑	NOUN
app01-10202	146	8	j=0	j=0	PROPN
app01-10202	146	9	wj(α)qn+1−j	wj(α)qn+1−j	PROPN
app01-10202	146	10	,	,	PUNCT
app01-10202	146	11	(	(	PUNCT
app01-10202	146	12	29	29	NUM
app01-10202	146	13	)	)	PUNCT
app01-10202	146	14	where	where	SCONJ
app01-10202	146	15	the	the	DET
app01-10202	146	16	weights	weight	NOUN
app01-10202	146	17	can	can	AUX
app01-10202	146	18	be	be	AUX
app01-10202	146	19	identified	identify	VERB
app01-10202	146	20	and	and	CCONJ
app01-10202	146	21	calculated	calculate	VERB
app01-10202	146	22	by	by	ADP
app01-10202	146	23	the	the	DET
app01-10202	146	24	recursion	recursion	NOUN
app01-10202	146	25	relation	relation	NOUN
app01-10202	146	26	below	below	ADP
app01-10202	146	27	:	:	PUNCT
app01-10202	146	28	w0(α	w0(α	PROPN
app01-10202	146	29	)	)	PUNCT
app01-10202	146	30	=	=	SYM
app01-10202	146	31	1	1	NUM
app01-10202	146	32	,	,	PUNCT
app01-10202	146	33	w1(α	w1(α	X
app01-10202	146	34	)	)	PUNCT
app01-10202	146	35	=	=	SYM
app01-10202	146	36	−α	−α	NOUN
app01-10202	146	37	,	,	PUNCT
app01-10202	146	38	·	·	PUNCT
app01-10202	146	39	·	·	PUNCT
app01-10202	146	40	·	·	PUNCT
app01-10202	146	41	wj(α	wj(α	X
app01-10202	146	42	)	)	PUNCT
app01-10202	147	1	=	=	SYM
app01-10202	147	2	j	j	PROPN
app01-10202	147	3	−	−	NOUN
app01-10202	147	4	1	1	NUM
app01-10202	147	5	−	−	PROPN
app01-10202	147	6	α	α	PRON
app01-10202	147	7	j	j	PROPN
app01-10202	147	8	wj−1(α	wj−1(α	PROPN
app01-10202	147	9	)	)	PUNCT
app01-10202	147	10	,	,	PUNCT
app01-10202	147	11	·	·	PUNCT
app01-10202	147	12	·	·	PUNCT
app01-10202	147	13	·	·	PUNCT
app01-10202	147	14	.	.	PUNCT
app01-10202	148	1	16	16	NUM
app01-10202	148	2	vol	vol	NOUN
app01-10202	148	3	.	.	PUNCT
app01-10202	149	1	49/2024	49/2024	NUM
app01-10202	149	2	fractional	fractional	ADJ
app01-10202	149	3	viscoelastic	viscoelastic	NOUN
app01-10202	149	4	models	model	NOUN
app01-10202	149	5	at	at	ADP
app01-10202	149	6	large	large	ADJ
app01-10202	149	7	deformations	deformation	NOUN
app01-10202	149	8	using	use	VERB
app01-10202	149	9	(	(	PUNCT
app01-10202	149	10	29	29	NUM
app01-10202	149	11	)	)	PUNCT
app01-10202	149	12	in	in	ADP
app01-10202	149	13	the	the	DET
app01-10202	149	14	rate	rate	NOUN
app01-10202	149	15	equation	equation	NOUN
app01-10202	149	16	(	(	PUNCT
app01-10202	149	17	20	20	NUM
app01-10202	149	18	)	)	PUNCT
app01-10202	149	19	we	we	PRON
app01-10202	149	20	get	get	VERB
app01-10202	149	21	:	:	PUNCT
app01-10202	149	22	[	[	X
app01-10202	149	23	dαq]n+1	dαq]n+1	X
app01-10202	150	1	+	+	CCONJ
app01-10202	150	2	1	1	NUM
app01-10202	150	3	τα	τα	SYM
app01-10202	150	4	qn+1	qn+1	NUM
app01-10202	150	5	=	=	SYM
app01-10202	150	6	1	1	NUM
app01-10202	150	7	τα	τα	NOUN
app01-10202	150	8	ŝn	ŝn	NOUN
app01-10202	150	9	.	.	PUNCT
app01-10202	151	1	(	(	PUNCT
app01-10202	151	2	30	30	NUM
app01-10202	151	3	)	)	PUNCT
app01-10202	151	4	moreover	moreover	ADV
app01-10202	151	5	,	,	PUNCT
app01-10202	151	6	using	use	VERB
app01-10202	151	7	(	(	PUNCT
app01-10202	151	8	29	29	NUM
app01-10202	151	9	)	)	PUNCT
app01-10202	151	10	we	we	PRON
app01-10202	151	11	can	can	AUX
app01-10202	151	12	rewrite	rewrite	VERB
app01-10202	151	13	the	the	DET
app01-10202	151	14	approximation	approximation	NOUN
app01-10202	151	15	of	of	ADP
app01-10202	151	16	the	the	DET
app01-10202	151	17	fractional	fractional	ADJ
app01-10202	151	18	derivative	derivative	NOUN
app01-10202	151	19	as	as	ADP
app01-10202	151	20	:	:	PUNCT
app01-10202	151	21	[	[	X
app01-10202	151	22	dαq]n+1	dαq]n+1	X
app01-10202	151	23	=	=	SYM
app01-10202	151	24	1	1	NUM
app01-10202	151	25	(	(	PUNCT
app01-10202	151	26	∆t)α	∆t)α	PROPN
app01-10202	151	27	qn+1	qn+1	NUM
app01-10202	151	28	+	+	SYM
app01-10202	151	29	1	1	NUM
app01-10202	151	30	(	(	PUNCT
app01-10202	151	31	∆t)α	∆t)α	ADJ
app01-10202	151	32	n∑	n∑	ADJ
app01-10202	151	33	j=1	j=1	NOUN
app01-10202	151	34	wj(α)qn+1−j	wj(α)qn+1−j	X
app01-10202	151	35	.	.	PUNCT
app01-10202	152	1	(	(	PUNCT
app01-10202	152	2	31	31	NUM
app01-10202	152	3	)	)	PUNCT
app01-10202	152	4	substituting	substitute	VERB
app01-10202	152	5	(	(	PUNCT
app01-10202	152	6	31	31	NUM
app01-10202	152	7	)	)	PUNCT
app01-10202	152	8	into	into	ADP
app01-10202	152	9	(	(	PUNCT
app01-10202	152	10	30	30	NUM
app01-10202	152	11	)	)	PUNCT
app01-10202	152	12	it	it	PRON
app01-10202	152	13	is	be	AUX
app01-10202	152	14	easy	easy	ADJ
app01-10202	152	15	to	to	PART
app01-10202	152	16	see	see	VERB
app01-10202	152	17	that	that	SCONJ
app01-10202	152	18	qn+1	qn+1	NOUN
app01-10202	152	19	can	can	AUX
app01-10202	152	20	be	be	AUX
app01-10202	152	21	computed	compute	VERB
app01-10202	152	22	as	as	ADP
app01-10202	152	23	:	:	PUNCT
app01-10202	152	24	qn+1	qn+1	NOUN
app01-10202	152	25	=(	=(	NOUN
app01-10202	152	26	∆t)α[w0(α)τα	∆t)α[w0(α)τα	PROPN
app01-10202	152	27	+	+	CCONJ
app01-10202	152	28	(	(	PUNCT
app01-10202	152	29	∆t)α]−1ŝn	∆t)α]−1ŝn	ADJ
app01-10202	152	30	−	−	NOUN
app01-10202	152	31	τα[w0(α)τα	τα[w0(α)τα	X
app01-10202	153	1	+	+	CCONJ
app01-10202	153	2	(	(	PUNCT
app01-10202	153	3	∆t)α]−1	∆t)α]−1	VERB
app01-10202	153	4	n∑	n∑	NOUN
app01-10202	153	5	j=1	j=1	ADJ
app01-10202	153	6	wj(α)[q]n+1−j	wj(α)[q]n+1−j	PROPN
app01-10202	153	7	.	.	PUNCT
app01-10202	154	1	(	(	PUNCT
app01-10202	154	2	32	32	NUM
app01-10202	154	3	)	)	PUNCT
app01-10202	154	4	the	the	DET
app01-10202	154	5	disadvantage	disadvantage	NOUN
app01-10202	154	6	of	of	ADP
app01-10202	154	7	the	the	DET
app01-10202	154	8	fractional	fractional	ADJ
app01-10202	154	9	viscoelasticity	viscoelasticity	NOUN
app01-10202	154	10	is	be	AUX
app01-10202	154	11	the	the	DET
app01-10202	154	12	nonlocal	nonlocal	ADJ
app01-10202	154	13	character	character	NOUN
app01-10202	154	14	of	of	ADP
app01-10202	154	15	fractional	fractional	ADJ
app01-10202	154	16	derivatives	derivative	NOUN
app01-10202	154	17	.	.	PUNCT
app01-10202	155	1	numerical	numerical	ADJ
app01-10202	155	2	approximation	approximation	NOUN
app01-10202	155	3	requires	require	VERB
app01-10202	155	4	the	the	DET
app01-10202	155	5	whole	whole	ADJ
app01-10202	155	6	history	history	NOUN
app01-10202	155	7	of	of	ADP
app01-10202	155	8	the	the	DET
app01-10202	155	9	internal	internal	ADJ
app01-10202	155	10	variables	variable	NOUN
app01-10202	155	11	in	in	ADP
app01-10202	155	12	the	the	DET
app01-10202	155	13	preceding	precede	VERB
app01-10202	155	14	time	time	NOUN
app01-10202	155	15	steps	step	NOUN
app01-10202	155	16	to	to	PART
app01-10202	155	17	be	be	AUX
app01-10202	155	18	saved	save	VERB
app01-10202	155	19	and	and	CCONJ
app01-10202	155	20	included	include	VERB
app01-10202	155	21	in	in	ADP
app01-10202	155	22	the	the	DET
app01-10202	155	23	calculation	calculation	NOUN
app01-10202	155	24	of	of	ADP
app01-10202	155	25	the	the	DET
app01-10202	155	26	new	new	ADJ
app01-10202	155	27	time	time	NOUN
app01-10202	155	28	step	step	NOUN
app01-10202	155	29	.	.	PUNCT
app01-10202	156	1	letting	let	VERB
app01-10202	156	2	α	α	PRON
app01-10202	156	3	=	=	SYM
app01-10202	156	4	1	1	NUM
app01-10202	156	5	and	and	CCONJ
app01-10202	156	6	the	the	DET
app01-10202	156	7	sum	sum	NOUN
app01-10202	156	8	in	in	ADP
app01-10202	156	9	equation	equation	NOUN
app01-10202	156	10	(	(	PUNCT
app01-10202	156	11	32	32	NUM
app01-10202	156	12	)	)	PUNCT
app01-10202	156	13	simply	simply	ADV
app01-10202	156	14	becomes	become	VERB
app01-10202	156	15	−qn	−qn	PROPN
app01-10202	156	16	and	and	CCONJ
app01-10202	156	17	the	the	DET
app01-10202	156	18	classical	classical	ADJ
app01-10202	156	19	model	model	NOUN
app01-10202	156	20	follows	follow	VERB
app01-10202	156	21	.	.	PUNCT
app01-10202	157	1	it	it	PRON
app01-10202	157	2	is	be	AUX
app01-10202	157	3	worth	worth	ADJ
app01-10202	157	4	pointing	point	VERB
app01-10202	157	5	out	out	ADP
app01-10202	157	6	that	that	SCONJ
app01-10202	157	7	the	the	DET
app01-10202	157	8	right	right	ADJ
app01-10202	157	9	hand	hand	NOUN
app01-10202	157	10	side	side	NOUN
app01-10202	157	11	in	in	ADP
app01-10202	157	12	(	(	PUNCT
app01-10202	157	13	30	30	NUM
app01-10202	157	14	)	)	PUNCT
app01-10202	157	15	is	be	AUX
app01-10202	157	16	taken	take	VERB
app01-10202	157	17	from	from	ADP
app01-10202	157	18	the	the	DET
app01-10202	157	19	preceding	precede	VERB
app01-10202	157	20	time	time	NOUN
app01-10202	157	21	step	step	NOUN
app01-10202	157	22	(	(	PUNCT
app01-10202	157	23	a	a	DET
app01-10202	157	24	semiimplicit	semiimplicit	ADJ
app01-10202	157	25	integrator	integrator	NOUN
app01-10202	157	26	)	)	PUNCT
app01-10202	157	27	.	.	PUNCT
app01-10202	158	1	as	as	ADP
app01-10202	158	2	a	a	DET
app01-10202	158	3	result	result	NOUN
app01-10202	158	4	,	,	PUNCT
app01-10202	158	5	the	the	DET
app01-10202	158	6	discrete	discrete	ADJ
app01-10202	158	7	rate	rate	NOUN
app01-10202	158	8	equation	equation	NOUN
app01-10202	158	9	(	(	PUNCT
app01-10202	158	10	30	30	NUM
app01-10202	158	11	)	)	PUNCT
app01-10202	158	12	is	be	AUX
app01-10202	158	13	decoupled	decouple	VERB
app01-10202	158	14	from	from	ADP
app01-10202	158	15	the	the	DET
app01-10202	158	16	system	system	NOUN
app01-10202	158	17	at	at	ADP
app01-10202	158	18	the	the	DET
app01-10202	158	19	actual	actual	ADJ
app01-10202	158	20	time	time	NOUN
app01-10202	158	21	step	step	NOUN
app01-10202	158	22	n+	n+	ADP
app01-10202	158	23	1	1	NUM
app01-10202	158	24	and	and	CCONJ
app01-10202	158	25	the	the	DET
app01-10202	158	26	approximation	approximation	NOUN
app01-10202	158	27	of	of	ADP
app01-10202	158	28	the	the	DET
app01-10202	158	29	internal	internal	ADJ
app01-10202	158	30	variable	variable	NOUN
app01-10202	158	31	qn+1	qn+1	PROPN
app01-10202	158	32	can	can	AUX
app01-10202	158	33	be	be	AUX
app01-10202	158	34	computed	compute	VERB
app01-10202	158	35	first	first	ADV
app01-10202	158	36	(	(	PUNCT
app01-10202	158	37	at	at	ADP
app01-10202	158	38	each	each	DET
app01-10202	158	39	discrete	discrete	ADJ
app01-10202	158	40	time	time	NOUN
app01-10202	158	41	step	step	NOUN
app01-10202	158	42	)	)	PUNCT
app01-10202	158	43	.	.	PUNCT
app01-10202	159	1	then	then	ADV
app01-10202	159	2	,	,	PUNCT
app01-10202	159	3	with	with	ADP
app01-10202	159	4	qn+1	qn+1	NUM
app01-10202	159	5	in	in	ADP
app01-10202	159	6	hand	hand	NOUN
app01-10202	159	7	,	,	PUNCT
app01-10202	159	8	the	the	DET
app01-10202	159	9	newton	newton	PROPN
app01-10202	159	10	-	-	PUNCT
app01-10202	159	11	raphson	raphson	NOUN
app01-10202	159	12	method	method	NOUN
app01-10202	159	13	is	be	AUX
app01-10202	159	14	applied	apply	VERB
app01-10202	159	15	to	to	PART
app01-10202	159	16	solve	solve	VERB
app01-10202	159	17	the	the	DET
app01-10202	159	18	nonlinear	nonlinear	ADJ
app01-10202	159	19	system	system	NOUN
app01-10202	159	20	(	(	PUNCT
app01-10202	159	21	26)–(28	26)–(28	NUM
app01-10202	159	22	)	)	PUNCT
app01-10202	159	23	.	.	PUNCT
app01-10202	160	1	the	the	DET
app01-10202	160	2	derivation	derivation	NOUN
app01-10202	160	3	of	of	ADP
app01-10202	160	4	a	a	DET
app01-10202	160	5	tangent	tangent	ADJ
app01-10202	160	6	stiffness	stiffness	ADJ
app01-10202	160	7	tensor	tensor	NOUN
app01-10202	160	8	that	that	PRON
app01-10202	160	9	is	be	AUX
app01-10202	160	10	consistent	consistent	ADJ
app01-10202	160	11	with	with	ADP
app01-10202	160	12	the	the	DET
app01-10202	160	13	integration	integration	NOUN
app01-10202	160	14	procedure	procedure	NOUN
app01-10202	160	15	is	be	AUX
app01-10202	160	16	essential	essential	ADJ
app01-10202	160	17	to	to	PART
app01-10202	160	18	ensure	ensure	VERB
app01-10202	160	19	a	a	DET
app01-10202	160	20	quadratic	quadratic	ADJ
app01-10202	160	21	rate	rate	NOUN
app01-10202	160	22	of	of	ADP
app01-10202	160	23	convergence	convergence	NOUN
app01-10202	160	24	[	[	X
app01-10202	160	25	15	15	NUM
app01-10202	160	26	]	]	PUNCT
app01-10202	160	27	.	.	PUNCT
app01-10202	161	1	a	a	DET
app01-10202	161	2	consistent	consistent	ADJ
app01-10202	161	3	linearization	linearization	NOUN
app01-10202	161	4	for	for	ADP
app01-10202	161	5	the	the	DET
app01-10202	161	6	set	set	NOUN
app01-10202	161	7	of	of	ADP
app01-10202	161	8	non	non	ADJ
app01-10202	161	9	-	-	ADJ
app01-10202	161	10	linear	linear	ADJ
app01-10202	161	11	equations	equation	NOUN
app01-10202	161	12	given	give	VERB
app01-10202	161	13	in	in	ADP
app01-10202	161	14	equations	equation	NOUN
app01-10202	161	15	(	(	PUNCT
app01-10202	161	16	26)–(28	26)–(28	NUM
app01-10202	161	17	)	)	PUNCT
app01-10202	161	18	,	,	PUNCT
app01-10202	161	19	about	about	ADP
app01-10202	161	20	a	a	DET
app01-10202	161	21	configuration	configuration	NOUN
app01-10202	161	22	u	u	NOUN
app01-10202	161	23	,	,	PUNCT
app01-10202	161	24	θ	θ	PROPN
app01-10202	161	25	and	and	CCONJ
app01-10202	161	26	p	p	X
app01-10202	161	27	,	,	PUNCT
app01-10202	161	28	is	be	AUX
app01-10202	161	29	given	give	VERB
app01-10202	161	30	by	by	ADP
app01-10202	161	31	:	:	PUNCT
app01-10202	161	32	jg(y(i))∆y(i	jg(y(i))∆y(i	NOUN
app01-10202	161	33	)	)	PUNCT
app01-10202	161	34	=	=	SYM
app01-10202	161	35	−g(y(i	−g(y(i	PROPN
app01-10202	161	36	)	)	PUNCT
app01-10202	161	37	)	)	PUNCT
app01-10202	161	38	,	,	PUNCT
app01-10202	161	39	(	(	PUNCT
app01-10202	161	40	33	33	NUM
app01-10202	161	41	)	)	PUNCT
app01-10202	161	42	y(i+1	y(i+1	NOUN
app01-10202	161	43	)	)	PUNCT
app01-10202	162	1	=	=	SYM
app01-10202	162	2	y(i	y(i	PROPN
app01-10202	162	3	)	)	PUNCT
app01-10202	163	1	+	+	CCONJ
app01-10202	163	2	∆y(i	∆y(i	NOUN
app01-10202	163	3	)	)	PUNCT
app01-10202	163	4	,	,	PUNCT
app01-10202	163	5	(	(	PUNCT
app01-10202	163	6	34	34	NUM
app01-10202	163	7	)	)	PUNCT
app01-10202	163	8	where	where	SCONJ
app01-10202	163	9	yt	yt	X
app01-10202	163	10	=	=	SYM
app01-10202	163	11	(	(	PUNCT
app01-10202	163	12	ũn+1	ũn+1	ADJ
app01-10202	163	13	,	,	PUNCT
app01-10202	163	14	θ̃n+1	θ̃n+1	ADJ
app01-10202	163	15	,	,	PUNCT
app01-10202	163	16	p̃n+1	p̃n+1	PROPN
app01-10202	163	17	)	)	PUNCT
app01-10202	163	18	,	,	PUNCT
app01-10202	163	19	gt	gt	PROPN
app01-10202	163	20	=	=	PUNCT
app01-10202	163	21	(	(	PUNCT
app01-10202	163	22	ru	ru	PROPN
app01-10202	163	23	,	,	PUNCT
app01-10202	163	24	rθ	rθ	NOUN
app01-10202	163	25	,	,	PUNCT
app01-10202	163	26	rp	rp	NOUN
app01-10202	163	27	)	)	PUNCT
app01-10202	163	28	,	,	PUNCT
app01-10202	164	1	jg	jg	PROPN
app01-10202	165	1	=	=	SYM
app01-10202	165	2			PROPN
app01-10202	165	3	cuu	cuu	VERB
app01-10202	165	4	0	0	NUM
app01-10202	166	1	ct	ct	PROPN
app01-10202	166	2	pu	pu	PROPN
app01-10202	166	3	0	0	PROPN
app01-10202	166	4	cθθ	cθθ	NOUN
app01-10202	166	5	ct	ct	PROPN
app01-10202	166	6	pθ	pθ	PROPN
app01-10202	166	7	cpu	cpu	PROPN
app01-10202	166	8	cpθ	cpθ	PROPN
app01-10202	166	9	0	0	NUM
app01-10202	167	1			PROPN
app01-10202	167	2	,	,	PUNCT
app01-10202	167	3	c	c	X
app01-10202	167	4	□	□	X
app01-10202	167	5	△	△	X
app01-10202	167	6	=	=	SYM
app01-10202	167	7	∂r	∂r	PROPN
app01-10202	167	8	□	□	SYM
app01-10202	167	9	∂	∂	NUM
app01-10202	167	10	△	△	X
app01-10202	167	11	i+1	i+1	NOUN
app01-10202	167	12	.	.	PUNCT
app01-10202	168	1	5	5	X
app01-10202	168	2	.	.	X
app01-10202	168	3	numerical	numerical	ADJ
app01-10202	168	4	example	example	NOUN
app01-10202	168	5	to	to	PART
app01-10202	168	6	illustrate	illustrate	VERB
app01-10202	168	7	the	the	DET
app01-10202	168	8	performance	performance	NOUN
app01-10202	168	9	of	of	ADP
app01-10202	168	10	the	the	DET
app01-10202	168	11	model	model	NOUN
app01-10202	168	12	,	,	PUNCT
app01-10202	168	13	we	we	PRON
app01-10202	168	14	consider	consider	VERB
app01-10202	168	15	a	a	DET
app01-10202	168	16	2	2	NUM
app01-10202	168	17	-	-	PUNCT
app01-10202	168	18	d	d	NOUN
app01-10202	168	19	cantilever	cantilever	NOUN
app01-10202	168	20	beam	beam	NOUN
app01-10202	168	21	1.0×0.4	1.0×0.4	NUM
app01-10202	168	22	m	m	NOUN
app01-10202	168	23	with	with	ADP
app01-10202	168	24	a	a	DET
app01-10202	168	25	step	step	NOUN
app01-10202	168	26	end	end	NOUN
app01-10202	168	27	load	load	NOUN
app01-10202	168	28	,	,	PUNCT
app01-10202	168	29	see	see	VERB
app01-10202	168	30	figure	figure	NOUN
app01-10202	168	31	4	4	NUM
app01-10202	168	32	and	and	CCONJ
app01-10202	168	33	figure	figure	VERB
app01-10202	168	34	5	5	NUM
app01-10202	168	35	.	.	PUNCT
app01-10202	169	1	the	the	DET
app01-10202	169	2	beam	beam	NOUN
app01-10202	169	3	is	be	AUX
app01-10202	169	4	meshed	mesh	VERB
app01-10202	169	5	uniformly	uniformly	ADV
app01-10202	169	6	with	with	ADP
app01-10202	169	7	4	4	NUM
app01-10202	169	8	-	-	PUNCT
app01-10202	169	9	node	node	ADJ
app01-10202	169	10	quadrilateral	quadrilateral	ADJ
app01-10202	169	11	elements	element	NOUN
app01-10202	169	12	and	and	CCONJ
app01-10202	169	13	partitioned	partition	VERB
app01-10202	169	14	as	as	SCONJ
app01-10202	169	15	shown	show	VERB
app01-10202	169	16	.	.	PUNCT
app01-10202	170	1	the	the	DET
app01-10202	170	2	parameters	parameter	NOUN
app01-10202	170	3	used	use	VERB
app01-10202	170	4	for	for	ADP
app01-10202	170	5	this	this	DET
app01-10202	170	6	problem	problem	NOUN
app01-10202	170	7	are	be	AUX
app01-10202	170	8	:	:	PUNCT
app01-10202	170	9	young	young	ADJ
app01-10202	170	10	’s	’s	PART
app01-10202	170	11	modulus	modulus	ADJ
app01-10202	170	12	e	e	NOUN
app01-10202	170	13	=	=	SYM
app01-10202	170	14	1.0	1.0	NUM
app01-10202	170	15	×	×	NOUN
app01-10202	170	16	104	104	NUM
app01-10202	170	17	pa	pa	PROPN
app01-10202	170	18	,	,	PUNCT
app01-10202	170	19	density	density	NOUN
app01-10202	170	20	figure	figure	NOUN
app01-10202	170	21	4	4	NUM
app01-10202	170	22	.	.	NOUN
app01-10202	170	23	2	2	NUM
app01-10202	170	24	-	-	PUNCT
app01-10202	170	25	d	d	NOUN
app01-10202	170	26	cantilever	cantilever	NOUN
app01-10202	170	27	beam	beam	NOUN
app01-10202	170	28	.	.	PUNCT
app01-10202	171	1	figure	figure	NOUN
app01-10202	171	2	5	5	NUM
app01-10202	171	3	.	.	PUNCT
app01-10202	172	1	a	a	DET
app01-10202	172	2	step	step	NOUN
app01-10202	172	3	end	end	NOUN
app01-10202	172	4	load	load	NOUN
app01-10202	172	5	.	.	PUNCT
app01-10202	173	1	figure	figure	NOUN
app01-10202	173	2	6	6	NUM
app01-10202	173	3	.	.	PUNCT
app01-10202	174	1	vertical	vertical	ADJ
app01-10202	174	2	displacement	displacement	NOUN
app01-10202	174	3	of	of	ADP
app01-10202	174	4	the	the	DET
app01-10202	174	5	mid	mid	NOUN
app01-10202	174	6	-	-	NOUN
app01-10202	174	7	point	point	NOUN
app01-10202	174	8	a	a	PRON
app01-10202	174	9	on	on	ADP
app01-10202	174	10	the	the	DET
app01-10202	174	11	free	free	ADJ
app01-10202	174	12	edge	edge	NOUN
app01-10202	174	13	.	.	PUNCT
app01-10202	175	1	hyperelastic	hyperelastic	ADJ
app01-10202	175	2	material	material	NOUN
app01-10202	175	3	was	be	AUX
app01-10202	175	4	considered	consider	VERB
app01-10202	175	5	in	in	ADP
app01-10202	175	6	this	this	DET
app01-10202	175	7	case	case	NOUN
app01-10202	175	8	(	(	PUNCT
app01-10202	175	9	neglecting	neglect	VERB
app01-10202	175	10	viscous	viscous	ADJ
app01-10202	175	11	effects	effect	NOUN
app01-10202	175	12	,	,	PUNCT
app01-10202	175	13	i.e.	i.e.	X
app01-10202	175	14	τ	τ	X
app01-10202	175	15	→	→	SYM
app01-10202	175	16	+	+	PROPN
app01-10202	175	17	∞	∞	NUM
app01-10202	175	18	)	)	PUNCT
app01-10202	175	19	.	.	PUNCT
app01-10202	176	1	ρ0	ρ0	PROPN
app01-10202	176	2	=	=	NOUN
app01-10202	176	3	1.0	1.0	NUM
app01-10202	176	4	×	×	NOUN
app01-10202	176	5	10−4	10−4	NUM
app01-10202	176	6	kg	kg	NOUN
app01-10202	176	7	m−3	m−3	PROPN
app01-10202	176	8	,	,	PUNCT
app01-10202	176	9	end	end	VERB
app01-10202	176	10	load	load	NOUN
app01-10202	176	11	p0	p0	NOUN
app01-10202	176	12	=	=	SYM
app01-10202	177	1	20.0	20.0	NUM
app01-10202	177	2	n	n	DET
app01-10202	177	3	m−1	m−1	PROPN
app01-10202	177	4	distributed	distribute	VERB
app01-10202	177	5	over	over	ADP
app01-10202	177	6	the	the	DET
app01-10202	177	7	free	free	ADJ
app01-10202	177	8	edge	edge	NOUN
app01-10202	177	9	.	.	PUNCT
app01-10202	178	1	the	the	DET
app01-10202	178	2	problem	problem	NOUN
app01-10202	178	3	was	be	AUX
app01-10202	178	4	integrated	integrate	VERB
app01-10202	178	5	with	with	ADP
app01-10202	178	6	a	a	DET
app01-10202	178	7	time	time	NOUN
app01-10202	178	8	step	step	NOUN
app01-10202	178	9	∆t	∆t	PROPN
app01-10202	179	1	=	=	SYM
app01-10202	179	2	2.0	2.0	NUM
app01-10202	179	3	×	×	NOUN
app01-10202	179	4	10−6	10−6	NUM
app01-10202	179	5	s.	s.	PROPN
app01-10202	179	6	first	first	ADV
app01-10202	179	7	,	,	PUNCT
app01-10202	179	8	we	we	PRON
app01-10202	179	9	considered	consider	VERB
app01-10202	179	10	the	the	DET
app01-10202	179	11	purely	purely	ADV
app01-10202	179	12	hyperelastic	hyperelastic	ADJ
app01-10202	179	13	material	material	NOUN
app01-10202	179	14	neglecting	neglect	VERB
app01-10202	179	15	viscous	viscous	ADJ
app01-10202	179	16	effects	effect	NOUN
app01-10202	179	17	(	(	PUNCT
app01-10202	179	18	τ	τ	X
app01-10202	179	19	→	→	SYM
app01-10202	179	20	+	+	PROPN
app01-10202	179	21	∞	∞	NUM
app01-10202	179	22	)	)	PUNCT
app01-10202	179	23	.	.	PUNCT
app01-10202	180	1	figure	figure	NOUN
app01-10202	180	2	6	6	NUM
app01-10202	180	3	shows	show	VERB
app01-10202	180	4	the	the	DET
app01-10202	180	5	motion	motion	NOUN
app01-10202	180	6	of	of	ADP
app01-10202	180	7	point	point	NOUN
app01-10202	180	8	a.	a.	NOUN
app01-10202	180	9	note	note	NOUN
app01-10202	180	10	that	that	SCONJ
app01-10202	180	11	our	our	PRON
app01-10202	180	12	results	result	NOUN
app01-10202	180	13	are	be	AUX
app01-10202	180	14	in	in	ADP
app01-10202	180	15	very	very	ADV
app01-10202	180	16	close	close	ADJ
app01-10202	180	17	agreement	agreement	NOUN
app01-10202	180	18	with	with	ADP
app01-10202	180	19	the	the	DET
app01-10202	180	20	results	result	NOUN
app01-10202	180	21	presented	present	VERB
app01-10202	180	22	in	in	ADP
app01-10202	180	23	[	[	X
app01-10202	180	24	16	16	NUM
app01-10202	180	25	]	]	PUNCT
app01-10202	180	26	.	.	PUNCT
app01-10202	181	1	in	in	ADP
app01-10202	181	2	figure	figure	NOUN
app01-10202	181	3	7	7	NUM
app01-10202	181	4	the	the	DET
app01-10202	181	5	vertical	vertical	ADJ
app01-10202	181	6	displacement	displacement	NOUN
app01-10202	181	7	of	of	ADP
app01-10202	181	8	the	the	DET
app01-10202	181	9	midpoint	midpoint	NOUN
app01-10202	181	10	a	a	DET
app01-10202	181	11	versus	versus	ADP
app01-10202	181	12	time	time	NOUN
app01-10202	181	13	is	be	AUX
app01-10202	181	14	displayed	display	VERB
app01-10202	181	15	for	for	ADP
app01-10202	181	16	different	different	ADJ
app01-10202	181	17	values	value	NOUN
app01-10202	181	18	of	of	ADP
app01-10202	181	19	α	α	PRON
app01-10202	181	20	.	.	PUNCT
app01-10202	182	1	as	as	SCONJ
app01-10202	182	2	can	can	AUX
app01-10202	182	3	be	be	AUX
app01-10202	182	4	observed	observe	VERB
app01-10202	182	5	,	,	PUNCT
app01-10202	182	6	the	the	DET
app01-10202	182	7	value	value	NOUN
app01-10202	182	8	of	of	ADP
app01-10202	182	9	α	α	PRON
app01-10202	182	10	clearly	clearly	ADV
app01-10202	182	11	affects	affect	VERB
app01-10202	182	12	the	the	DET
app01-10202	182	13	results	result	NOUN
app01-10202	182	14	.	.	PUNCT
app01-10202	183	1	vertical	vertical	ADJ
app01-10202	183	2	displacements	displacement	NOUN
app01-10202	183	3	seem	seem	VERB
app01-10202	183	4	to	to	PART
app01-10202	183	5	decay	decay	VERB
app01-10202	183	6	faster	fast	ADV
app01-10202	183	7	with	with	ADP
app01-10202	183	8	higher	high	ADJ
app01-10202	183	9	values	value	NOUN
app01-10202	183	10	of	of	ADP
app01-10202	183	11	α	α	PROPN
app01-10202	183	12	.	.	PUNCT
app01-10202	183	13	figures	figure	NOUN
app01-10202	183	14	8	8	NUM
app01-10202	183	15	and	and	CCONJ
app01-10202	183	16	9	9	NUM
app01-10202	183	17	show	show	VERB
app01-10202	183	18	the	the	DET
app01-10202	183	19	deformed	deform	VERB
app01-10202	183	20	cantilever	cantilever	NOUN
app01-10202	183	21	for	for	ADP
app01-10202	183	22	parameter	parameter	NOUN
app01-10202	183	23	α	α	NOUN
app01-10202	183	24	=	=	SYM
app01-10202	183	25	0.5	0.5	NUM
app01-10202	183	26	.	.	PUNCT
app01-10202	183	27	due	due	ADP
app01-10202	183	28	to	to	ADP
app01-10202	183	29	the	the	DET
app01-10202	183	30	fact	fact	NOUN
app01-10202	183	31	that	that	SCONJ
app01-10202	183	32	the	the	DET
app01-10202	183	33	time	time	NOUN
app01-10202	183	34	step	step	NOUN
app01-10202	183	35	is	be	AUX
app01-10202	183	36	limited	limit	VERB
app01-10202	183	37	by	by	ADP
app01-10202	183	38	17	17	NUM
app01-10202	183	39	barbora	barbora	PROPN
app01-10202	183	40	hálková	hálková	PROPN
app01-10202	183	41	,	,	PUNCT
app01-10202	183	42	michal	michal	PROPN
app01-10202	183	43	beneš	beneš	PROPN
app01-10202	183	44	acta	acta	PROPN
app01-10202	183	45	polytechnica	polytechnica	PROPN
app01-10202	183	46	ctu	ctu	PROPN
app01-10202	183	47	proceedings	proceeding	NOUN
app01-10202	183	48	figure	figure	VERB
app01-10202	183	49	7	7	NUM
app01-10202	183	50	.	.	PUNCT
app01-10202	184	1	vertical	vertical	ADJ
app01-10202	184	2	displacement	displacement	NOUN
app01-10202	184	3	of	of	ADP
app01-10202	184	4	the	the	DET
app01-10202	184	5	point	point	NOUN
app01-10202	184	6	a.	a.	NOUN
app01-10202	184	7	the	the	DET
app01-10202	184	8	influence	influence	NOUN
app01-10202	184	9	of	of	ADP
app01-10202	184	10	different	different	ADJ
app01-10202	184	11	values	value	NOUN
app01-10202	184	12	of	of	ADP
app01-10202	184	13	α	α	NOUN
app01-10202	184	14	for	for	ADP
app01-10202	184	15	fixed	fix	VERB
app01-10202	184	16	τ	τ	X
app01-10202	184	17	=	=	SYM
app01-10202	184	18	10−3	10−3	PROPN
app01-10202	184	19	s.	s.	PROPN
app01-10202	184	20	figure	figure	NOUN
app01-10202	184	21	8	8	NUM
app01-10202	184	22	.	.	PUNCT
app01-10202	185	1	motion	motion	NOUN
app01-10202	185	2	of	of	ADP
app01-10202	185	3	the	the	DET
app01-10202	185	4	beam	beam	NOUN
app01-10202	185	5	at	at	ADP
app01-10202	185	6	time	time	NOUN
app01-10202	185	7	t	t	PROPN
app01-10202	185	8	=	=	SYM
app01-10202	185	9	3.0	3.0	NUM
app01-10202	185	10	×	×	NOUN
app01-10202	185	11	10−4	10−4	NUM
app01-10202	185	12	s.	s.	PROPN
app01-10202	185	13	figure	figure	NOUN
app01-10202	185	14	9	9	NUM
app01-10202	185	15	.	.	PUNCT
app01-10202	185	16	motion	motion	NOUN
app01-10202	185	17	of	of	ADP
app01-10202	185	18	the	the	DET
app01-10202	185	19	beam	beam	NOUN
app01-10202	185	20	at	at	ADP
app01-10202	185	21	time	time	NOUN
app01-10202	185	22	t	t	PROPN
app01-10202	185	23	=	=	SYM
app01-10202	185	24	8.9	8.9	NUM
app01-10202	185	25	×	×	NOUN
app01-10202	185	26	10−4	10−4	NUM
app01-10202	185	27	s.	s.	PROPN
app01-10202	185	28	accuracy	accuracy	PROPN
app01-10202	185	29	requirements	requirement	NOUN
app01-10202	185	30	rather	rather	ADV
app01-10202	185	31	than	than	ADP
app01-10202	185	32	stability	stability	NOUN
app01-10202	185	33	conditions	condition	NOUN
app01-10202	185	34	,	,	PUNCT
app01-10202	185	35	the	the	DET
app01-10202	185	36	explicit	explicit	ADJ
app01-10202	185	37	algorithm	algorithm	NOUN
app01-10202	185	38	was	be	AUX
app01-10202	185	39	used	use	VERB
app01-10202	185	40	in	in	ADP
app01-10202	185	41	our	our	PRON
app01-10202	185	42	simulations	simulation	NOUN
app01-10202	185	43	(	(	PUNCT
app01-10202	185	44	which	which	PRON
app01-10202	185	45	is	be	AUX
app01-10202	185	46	significantly	significantly	ADV
app01-10202	185	47	faster	fast	ADJ
app01-10202	185	48	as	as	SCONJ
app01-10202	185	49	no	no	DET
app01-10202	185	50	iterations	iteration	NOUN
app01-10202	185	51	in	in	ADP
app01-10202	185	52	each	each	DET
app01-10202	185	53	time	time	NOUN
app01-10202	185	54	step	step	NOUN
app01-10202	185	55	are	be	AUX
app01-10202	185	56	needed	need	VERB
app01-10202	185	57	)	)	PUNCT
app01-10202	185	58	.	.	PUNCT
app01-10202	186	1	6	6	X
app01-10202	186	2	.	.	X
app01-10202	186	3	conclusion	conclusion	NOUN
app01-10202	186	4	a	a	DET
app01-10202	186	5	fractional	fractional	ADJ
app01-10202	186	6	derivative	derivative	ADJ
app01-10202	186	7	visco	visco	ADJ
app01-10202	186	8	-	-	PUNCT
app01-10202	186	9	hyperelastic	hyperelastic	ADJ
app01-10202	186	10	model	model	NOUN
app01-10202	186	11	for	for	ADP
app01-10202	186	12	large	large	ADJ
app01-10202	186	13	and	and	CCONJ
app01-10202	186	14	nearly	nearly	ADV
app01-10202	186	15	incompressible	incompressible	ADJ
app01-10202	186	16	deformations	deformation	NOUN
app01-10202	186	17	has	have	AUX
app01-10202	186	18	been	be	AUX
app01-10202	186	19	formulated	formulate	VERB
app01-10202	186	20	based	base	VERB
app01-10202	186	21	on	on	ADP
app01-10202	186	22	irreversible	irreversible	ADJ
app01-10202	186	23	thermodynamics	thermodynamic	NOUN
app01-10202	186	24	with	with	ADP
app01-10202	186	25	internal	internal	ADJ
app01-10202	186	26	variables	variable	NOUN
app01-10202	186	27	.	.	PUNCT
app01-10202	187	1	the	the	DET
app01-10202	187	2	finite	finite	PROPN
app01-10202	187	3	element	element	NOUN
app01-10202	187	4	framework	framework	NOUN
app01-10202	187	5	is	be	AUX
app01-10202	187	6	based	base	VERB
app01-10202	187	7	on	on	ADP
app01-10202	187	8	a	a	DET
app01-10202	187	9	three	three	NUM
app01-10202	187	10	-	-	PUNCT
app01-10202	187	11	field	field	NOUN
app01-10202	187	12	form	form	NOUN
app01-10202	187	13	of	of	ADP
app01-10202	187	14	the	the	DET
app01-10202	187	15	hu	hu	PROPN
app01-10202	187	16	-	-	PROPN
app01-10202	187	17	washizu	washizu	NOUN
app01-10202	187	18	principle	principle	NOUN
app01-10202	187	19	to	to	PART
app01-10202	187	20	create	create	VERB
app01-10202	187	21	a	a	DET
app01-10202	187	22	stable	stable	ADJ
app01-10202	187	23	finite	finite	NOUN
app01-10202	187	24	element	element	NOUN
app01-10202	187	25	method	method	NOUN
app01-10202	187	26	.	.	PUNCT
app01-10202	188	1	the	the	DET
app01-10202	188	2	β	β	NOUN
app01-10202	188	3	-	-	NOUN
app01-10202	188	4	method	method	NOUN
app01-10202	188	5	(	(	PUNCT
app01-10202	188	6	the	the	DET
app01-10202	188	7	generalized	generalized	ADJ
app01-10202	188	8	midpoint	midpoint	NOUN
app01-10202	188	9	rule	rule	NOUN
app01-10202	188	10	)	)	PUNCT
app01-10202	188	11	for	for	ADP
app01-10202	188	12	time	time	NOUN
app01-10202	188	13	discretization	discretization	NOUN
app01-10202	188	14	of	of	ADP
app01-10202	188	15	the	the	DET
app01-10202	188	16	equation	equation	NOUN
app01-10202	188	17	of	of	ADP
app01-10202	188	18	motion	motion	NOUN
app01-10202	188	19	and	and	CCONJ
app01-10202	188	20	a	a	DET
app01-10202	188	21	specific	specific	ADJ
app01-10202	188	22	semi	semi	ADJ
app01-10202	188	23	-	-	ADJ
app01-10202	188	24	implicit	implicit	ADJ
app01-10202	188	25	approximation	approximation	NOUN
app01-10202	188	26	of	of	ADP
app01-10202	188	27	fractional	fractional	ADJ
app01-10202	188	28	odes	ode	NOUN
app01-10202	188	29	governing	govern	VERB
app01-10202	188	30	the	the	DET
app01-10202	188	31	evolution	evolution	NOUN
app01-10202	188	32	of	of	ADP
app01-10202	188	33	the	the	DET
app01-10202	188	34	internal	internal	ADJ
app01-10202	188	35	variables	variable	NOUN
app01-10202	188	36	enable	enable	VERB
app01-10202	188	37	us	we	PRON
app01-10202	188	38	to	to	PART
app01-10202	188	39	partially	partially	ADV
app01-10202	188	40	decouple	decouple	VERB
app01-10202	188	41	the	the	DET
app01-10202	188	42	elastic	elastic	ADJ
app01-10202	188	43	and	and	CCONJ
app01-10202	188	44	viscous	viscous	ADJ
app01-10202	188	45	response	response	NOUN
app01-10202	188	46	to	to	PART
app01-10202	188	47	simplify	simplify	VERB
app01-10202	188	48	and	and	CCONJ
app01-10202	188	49	speed	speed	VERB
app01-10202	188	50	up	up	ADP
app01-10202	188	51	the	the	DET
app01-10202	188	52	numerical	numerical	ADJ
app01-10202	188	53	algorithm	algorithm	NOUN
app01-10202	188	54	.	.	PUNCT
app01-10202	189	1	the	the	DET
app01-10202	189	2	consistent	consistent	ADJ
app01-10202	189	3	linearization	linearization	NOUN
app01-10202	189	4	of	of	ADP
app01-10202	189	5	the	the	DET
app01-10202	189	6	resulting	result	VERB
app01-10202	189	7	system	system	NOUN
app01-10202	189	8	of	of	ADP
app01-10202	189	9	nonlinear	nonlinear	ADJ
app01-10202	189	10	equations	equation	NOUN
app01-10202	189	11	is	be	AUX
app01-10202	189	12	also	also	ADV
app01-10202	189	13	briefly	briefly	ADV
app01-10202	189	14	presented	present	VERB
app01-10202	189	15	.	.	PUNCT
app01-10202	190	1	the	the	DET
app01-10202	190	2	present	present	ADJ
app01-10202	190	3	work	work	NOUN
app01-10202	190	4	is	be	AUX
app01-10202	190	5	our	our	PRON
app01-10202	190	6	first	first	ADJ
app01-10202	190	7	step	step	NOUN
app01-10202	190	8	toward	toward	ADP
app01-10202	190	9	linking	link	VERB
app01-10202	190	10	the	the	DET
app01-10202	190	11	fractional	fractional	ADJ
app01-10202	190	12	calculus	calculus	NOUN
app01-10202	190	13	and	and	CCONJ
app01-10202	190	14	hyperelasticity	hyperelasticity	NOUN
app01-10202	190	15	.	.	PUNCT
app01-10202	191	1	the	the	DET
app01-10202	191	2	dynamic	dynamic	ADJ
app01-10202	191	3	response	response	NOUN
app01-10202	191	4	of	of	ADP
app01-10202	191	5	a	a	DET
app01-10202	191	6	2	2	NUM
app01-10202	191	7	-	-	PUNCT
app01-10202	191	8	d	d	NOUN
app01-10202	191	9	cantilever	cantilever	NOUN
app01-10202	191	10	beam	beam	NOUN
app01-10202	191	11	is	be	AUX
app01-10202	191	12	computed	compute	VERB
app01-10202	191	13	,	,	PUNCT
app01-10202	191	14	including	include	VERB
app01-10202	191	15	both	both	CCONJ
app01-10202	191	16	geometrically	geometrically	ADV
app01-10202	191	17	and	and	CCONJ
app01-10202	191	18	materially	materially	ADV
app01-10202	191	19	nonlinear	nonlinear	ADJ
app01-10202	191	20	effects	effect	NOUN
app01-10202	191	21	.	.	PUNCT
app01-10202	192	1	acknowledgements	acknowledgement	NOUN
app01-10202	192	2	this	this	DET
app01-10202	192	3	research	research	NOUN
app01-10202	192	4	was	be	AUX
app01-10202	192	5	supported	support	VERB
app01-10202	192	6	by	by	ADP
app01-10202	192	7	sgs	sgs	PROPN
app01-10202	192	8	,	,	PUNCT
app01-10202	192	9	project	project	NOUN
app01-10202	192	10	number	number	NOUN
app01-10202	192	11	sgs23/001	sgs23/001	NOUN
app01-10202	192	12	/	/	SYM
app01-10202	192	13	ohk1/1t/11	ohk1/1t/11	PROPN
app01-10202	192	14	,	,	PUNCT
app01-10202	192	15	and	and	CCONJ
app01-10202	192	16	the	the	DET
app01-10202	192	17	czech	czech	PROPN
app01-10202	192	18	science	science	PROPN
app01-10202	192	19	foundation	foundation	PROPN
app01-10202	192	20	,	,	PUNCT
app01-10202	192	21	the	the	DET
app01-10202	192	22	grant	grant	NOUN
app01-10202	192	23	no	no	INTJ
app01-10202	192	24	.	.	NOUN
app01-10202	192	25	22	22	NUM
app01-10202	192	26	-	-	PUNCT
app01-10202	192	27	15553s	15553s	NUM
app01-10202	192	28	.	.	PUNCT
app01-10202	193	1	references	reference	NOUN
app01-10202	193	2	[	[	X
app01-10202	193	3	1	1	NUM
app01-10202	193	4	]	]	PUNCT
app01-10202	193	5	r.	r.	PROPN
app01-10202	193	6	c.	c.	PROPN
app01-10202	193	7	koeller	koeller	PROPN
app01-10202	193	8	.	.	PUNCT
app01-10202	194	1	applications	application	NOUN
app01-10202	194	2	of	of	ADP
app01-10202	194	3	fractional	fractional	ADJ
app01-10202	194	4	calculus	calculus	NOUN
app01-10202	194	5	to	to	ADP
app01-10202	194	6	the	the	DET
app01-10202	194	7	theory	theory	NOUN
app01-10202	194	8	of	of	ADP
app01-10202	194	9	viscoelasticity	viscoelasticity	NOUN
app01-10202	194	10	.	.	PUNCT
app01-10202	195	1	journal	journal	PROPN
app01-10202	195	2	of	of	ADP
app01-10202	195	3	applied	apply	VERB
app01-10202	195	4	mechanics	mechanic	NOUN
app01-10202	195	5	51(2):299–307	51(2):299–307	NUM
app01-10202	195	6	,	,	PUNCT
app01-10202	195	7	1984	1984	NUM
app01-10202	195	8	.	.	PUNCT
app01-10202	196	1	https://doi.org/10.1115/1.3167616	https://doi.org/10.1115/1.3167616	VERB
app01-10202	197	1	[	[	X
app01-10202	197	2	2	2	NUM
app01-10202	197	3	]	]	X
app01-10202	197	4	b.	b.	PROPN
app01-10202	197	5	hálková	hálková	PROPN
app01-10202	197	6	.	.	PUNCT
app01-10202	198	1	experimentální	experimentální	VERB
app01-10202	198	2	a	a	DET
app01-10202	198	3	numerické	numerické	NOUN
app01-10202	198	4	modelování	modelování	NOUN
app01-10202	198	5	pvb	pvb	PROPN
app01-10202	198	6	folie	folie	PROPN
app01-10202	199	1	[	[	X
app01-10202	199	2	in	in	ADP
app01-10202	199	3	czech	czech	PROPN
app01-10202	199	4	;	;	PUNCT
app01-10202	199	5	experimental	experimental	ADJ
app01-10202	199	6	and	and	CCONJ
app01-10202	199	7	numerical	numerical	ADJ
app01-10202	199	8	modelling	modelling	NOUN
app01-10202	199	9	of	of	ADP
app01-10202	199	10	pvb	pvb	NOUN
app01-10202	199	11	foil	foil	NOUN
app01-10202	199	12	]	]	PUNCT
app01-10202	199	13	.	.	PUNCT
app01-10202	200	1	master	master	NOUN
app01-10202	200	2	’s	’s	PART
app01-10202	200	3	thesis	thesis	NOUN
app01-10202	200	4	,	,	PUNCT
app01-10202	200	5	czech	czech	PROPN
app01-10202	200	6	technical	technical	PROPN
app01-10202	200	7	university	university	PROPN
app01-10202	200	8	in	in	ADP
app01-10202	200	9	prague	prague	PROPN
app01-10202	200	10	,	,	PUNCT
app01-10202	200	11	2024	2024	NUM
app01-10202	200	12	.	.	PUNCT
app01-10202	201	1	[	[	X
app01-10202	201	2	3	3	X
app01-10202	201	3	]	]	PUNCT
app01-10202	201	4	s.	s.	PROPN
app01-10202	201	5	w.	w.	PROPN
app01-10202	201	6	j.	j.	PROPN
app01-10202	201	7	welch	welch	PROPN
app01-10202	201	8	,	,	PUNCT
app01-10202	201	9	r.	r.	PROPN
app01-10202	201	10	a.	a.	PROPN
app01-10202	201	11	l.	l.	PROPN
app01-10202	201	12	rorrer	rorrer	PROPN
app01-10202	201	13	,	,	PUNCT
app01-10202	201	14	j.	j.	PROPN
app01-10202	201	15	r.	r.	PROPN
app01-10202	201	16	g.	g.	PROPN
app01-10202	201	17	duren	duren	PROPN
app01-10202	201	18	.	.	PUNCT
app01-10202	201	19	application	application	NOUN
app01-10202	201	20	of	of	ADP
app01-10202	201	21	time	time	NOUN
app01-10202	201	22	-	-	PUNCT
app01-10202	201	23	based	base	VERB
app01-10202	201	24	fractional	fractional	ADJ
app01-10202	201	25	calculus	calculus	NOUN
app01-10202	201	26	methods	method	NOUN
app01-10202	201	27	to	to	ADP
app01-10202	201	28	viscoelastic	viscoelastic	ADJ
app01-10202	201	29	creep	creep	NOUN
app01-10202	201	30	and	and	CCONJ
app01-10202	201	31	stress	stress	NOUN
app01-10202	201	32	relaxation	relaxation	NOUN
app01-10202	201	33	of	of	ADP
app01-10202	201	34	materials	material	NOUN
app01-10202	201	35	.	.	PUNCT
app01-10202	202	1	mechanics	mechanic	NOUN
app01-10202	202	2	of	of	ADP
app01-10202	202	3	time	time	NOUN
app01-10202	202	4	-	-	PUNCT
app01-10202	202	5	dependent	dependent	ADJ
app01-10202	202	6	materials	material	NOUN
app01-10202	202	7	3(3):279–303	3(3):279–303	NUM
app01-10202	202	8	,	,	PUNCT
app01-10202	202	9	1999	1999	NUM
app01-10202	202	10	.	.	PUNCT
app01-10202	203	1	https://doi.org/10.1023/a:1009834317545	https://doi.org/10.1023/a:1009834317545	PROPN
app01-10202	204	1	[	[	X
app01-10202	204	2	4	4	X
app01-10202	204	3	]	]	PUNCT
app01-10202	204	4	j.	j.	PROPN
app01-10202	204	5	padovan	padovan	PROPN
app01-10202	204	6	.	.	PUNCT
app01-10202	205	1	computational	computational	ADJ
app01-10202	205	2	algorithms	algorithm	NOUN
app01-10202	205	3	for	for	ADP
app01-10202	205	4	fe	fe	NOUN
app01-10202	205	5	formulations	formulation	NOUN
app01-10202	205	6	involving	involve	VERB
app01-10202	205	7	fractional	fractional	ADJ
app01-10202	205	8	operators	operator	NOUN
app01-10202	205	9	.	.	PUNCT
app01-10202	206	1	computational	computational	ADJ
app01-10202	206	2	mechanics	mechanic	NOUN
app01-10202	206	3	2(4):271–287	2(4):271–287	NUM
app01-10202	206	4	,	,	PUNCT
app01-10202	206	5	1987	1987	NUM
app01-10202	206	6	.	.	PUNCT
app01-10202	207	1	https://doi.org/10.1007/bf00296422	https://doi.org/10.1007/bf00296422	PUNCT
app01-10202	208	1	[	[	X
app01-10202	208	2	5	5	NUM
app01-10202	208	3	]	]	PUNCT
app01-10202	208	4	m.	m.	NOUN
app01-10202	208	5	enelund	enelund	PROPN
app01-10202	208	6	,	,	PUNCT
app01-10202	208	7	l.	l.	PROPN
app01-10202	208	8	mähler	mähler	PROPN
app01-10202	208	9	,	,	PUNCT
app01-10202	208	10	k.	k.	PROPN
app01-10202	208	11	runesson	runesson	PROPN
app01-10202	208	12	,	,	PUNCT
app01-10202	208	13	b.	b.	PROPN
app01-10202	208	14	l.	l.	PROPN
app01-10202	208	15	josefson	josefson	PROPN
app01-10202	208	16	.	.	PUNCT
app01-10202	209	1	formulation	formulation	NOUN
app01-10202	209	2	and	and	CCONJ
app01-10202	209	3	integration	integration	NOUN
app01-10202	209	4	of	of	ADP
app01-10202	209	5	the	the	DET
app01-10202	209	6	standard	standard	ADJ
app01-10202	209	7	linear	linear	PROPN
app01-10202	209	8	viscoelastic	viscoelastic	NOUN
app01-10202	209	9	solid	solid	ADJ
app01-10202	209	10	with	with	ADP
app01-10202	209	11	fractional	fractional	ADJ
app01-10202	209	12	order	order	NOUN
app01-10202	209	13	rate	rate	NOUN
app01-10202	209	14	laws	law	NOUN
app01-10202	209	15	.	.	PUNCT
app01-10202	210	1	international	international	ADJ
app01-10202	210	2	journal	journal	NOUN
app01-10202	210	3	of	of	ADP
app01-10202	210	4	solids	solid	NOUN
app01-10202	210	5	and	and	CCONJ
app01-10202	210	6	structures	structure	NOUN
app01-10202	210	7	36(16):2417–2442	36(16):2417–2442	NUM
app01-10202	210	8	,	,	PUNCT
app01-10202	210	9	1999	1999	NUM
app01-10202	210	10	.	.	PUNCT
app01-10202	211	1	https://doi.org/10.1016/s0020-7683(98)00111-5	https://doi.org/10.1016/s0020-7683(98)00111-5	NOUN
app01-10202	212	1	[	[	X
app01-10202	212	2	6	6	NUM
app01-10202	212	3	]	]	PUNCT
app01-10202	212	4	s.	s.	PROPN
app01-10202	212	5	müller	müller	PROPN
app01-10202	212	6	,	,	PUNCT
app01-10202	212	7	m.	m.	NOUN
app01-10202	212	8	kästner	kästner	PROPN
app01-10202	212	9	,	,	PUNCT
app01-10202	212	10	j.	j.	PROPN
app01-10202	212	11	brummund	brummund	PROPN
app01-10202	212	12	,	,	PUNCT
app01-10202	212	13	v.	v.	CCONJ
app01-10202	212	14	ulbricht	ulbricht	NOUN
app01-10202	212	15	.	.	PUNCT
app01-10202	213	1	a	a	DET
app01-10202	213	2	nonlinear	nonlinear	ADJ
app01-10202	213	3	fractional	fractional	ADJ
app01-10202	213	4	viscoelastic	viscoelastic	ADJ
app01-10202	213	5	material	material	NOUN
app01-10202	213	6	model	model	NOUN
app01-10202	213	7	for	for	ADP
app01-10202	213	8	polymers	polymer	NOUN
app01-10202	213	9	.	.	PUNCT
app01-10202	214	1	computational	computational	ADJ
app01-10202	214	2	materials	material	NOUN
app01-10202	214	3	science	science	NOUN
app01-10202	214	4	50(10):2938–2949	50(10):2938–2949	NUM
app01-10202	214	5	,	,	PUNCT
app01-10202	214	6	2011	2011	NUM
app01-10202	214	7	.	.	PUNCT
app01-10202	215	1	https://doi.org/10.1016/j.commatsci.2011.05.011	https://doi.org/10.1016/j.commatsci.2011.05.011	PROPN
app01-10202	215	2	[	[	X
app01-10202	215	3	7	7	NUM
app01-10202	215	4	]	]	PUNCT
app01-10202	215	5	a.	a.	NOUN
app01-10202	215	6	schmidt	schmidt	PROPN
app01-10202	215	7	,	,	PUNCT
app01-10202	215	8	l.	l.	PROPN
app01-10202	215	9	gaul	gaul	PROPN
app01-10202	215	10	.	.	PUNCT
app01-10202	216	1	finite	finite	PROPN
app01-10202	216	2	element	element	NOUN
app01-10202	216	3	formulation	formulation	NOUN
app01-10202	216	4	of	of	ADP
app01-10202	216	5	viscoelastic	viscoelastic	ADJ
app01-10202	216	6	constitutive	constitutive	ADJ
app01-10202	216	7	equations	equation	NOUN
app01-10202	216	8	using	use	VERB
app01-10202	216	9	fractional	fractional	ADJ
app01-10202	216	10	time	time	NOUN
app01-10202	216	11	derivatives	derivative	NOUN
app01-10202	216	12	.	.	PUNCT
app01-10202	217	1	nonlinear	nonlinear	ADJ
app01-10202	217	2	dynamics	dynamic	NOUN
app01-10202	217	3	29(1):37–55	29(1):37–55	NUM
app01-10202	217	4	,	,	PUNCT
app01-10202	217	5	2002	2002	NUM
app01-10202	217	6	.	.	PUNCT
app01-10202	218	1	https://doi.org/10.1023/a:1016552503411	https://doi.org/10.1023/a:1016552503411	VERB
app01-10202	219	1	[	[	X
app01-10202	219	2	8	8	NUM
app01-10202	219	3	]	]	PUNCT
app01-10202	219	4	k.	k.	PROPN
app01-10202	219	5	adolfsson	adolfsson	PROPN
app01-10202	219	6	,	,	PUNCT
app01-10202	219	7	m.	m.	NOUN
app01-10202	219	8	enelund	enelund	PROPN
app01-10202	219	9	.	.	PUNCT
app01-10202	220	1	fractional	fractional	ADJ
app01-10202	220	2	derivative	derivative	ADJ
app01-10202	220	3	viscoelasticity	viscoelasticity	NOUN
app01-10202	220	4	at	at	ADP
app01-10202	220	5	large	large	ADJ
app01-10202	220	6	deformations	deformation	NOUN
app01-10202	220	7	.	.	PUNCT
app01-10202	221	1	nonlinear	nonlinear	ADJ
app01-10202	221	2	dynamics	dynamic	NOUN
app01-10202	221	3	33(3):301–321	33(3):301–321	PROPN
app01-10202	221	4	,	,	PUNCT
app01-10202	221	5	2003	2003	NUM
app01-10202	221	6	.	.	PUNCT
app01-10202	221	7	https://doi.org/10.1023/a:1026003130033	https://doi.org/10.1023/a:1026003130033	VERB
app01-10202	221	8	18	18	NUM
app01-10202	221	9	https://doi.org/10.1115/1.3167616	https://doi.org/10.1115/1.3167616	PROPN
app01-10202	221	10	https://doi.org/10.1023/a:1009834317545	https://doi.org/10.1023/a:1009834317545	PROPN
app01-10202	221	11	https://doi.org/10.1007/bf00296422	https://doi.org/10.1007/bf00296422	NOUN
app01-10202	221	12	https://doi.org/10.1016/s0020-7683(98)00111-5	https://doi.org/10.1016/s0020-7683(98)00111-5	PROPN
app01-10202	221	13	https://doi.org/10.1016/j.commatsci.2011.05.011	https://doi.org/10.1016/j.commatsci.2011.05.011	PROPN
app01-10202	221	14	https://doi.org/10.1023/a:1016552503411	https://doi.org/10.1023/a:1016552503411	PROPN
app01-10202	221	15	https://doi.org/10.1023/a:1026003130033	https://doi.org/10.1023/a:1026003130033	NOUN
app01-10202	221	16	vol	vol	NOUN
app01-10202	221	17	.	.	PUNCT
app01-10202	222	1	49/2024	49/2024	NUM
app01-10202	222	2	fractional	fractional	ADJ
app01-10202	222	3	viscoelastic	viscoelastic	NOUN
app01-10202	222	4	models	model	NOUN
app01-10202	222	5	at	at	ADP
app01-10202	222	6	large	large	ADJ
app01-10202	222	7	deformations	deformation	NOUN
app01-10202	222	8	[	[	X
app01-10202	222	9	9	9	X
app01-10202	222	10	]	]	PUNCT
app01-10202	222	11	j.	j.	PROPN
app01-10202	222	12	c.	c.	PROPN
app01-10202	222	13	simo	simo	PROPN
app01-10202	222	14	,	,	PUNCT
app01-10202	222	15	t.	t.	PROPN
app01-10202	222	16	j.	j.	PROPN
app01-10202	222	17	r.	r.	PROPN
app01-10202	222	18	hughes	hughes	PROPN
app01-10202	222	19	.	.	PUNCT
app01-10202	223	1	computational	computational	ADJ
app01-10202	223	2	inelasticity	inelasticity	NOUN
app01-10202	223	3	.	.	PUNCT
app01-10202	224	1	interdisciplinary	interdisciplinary	ADJ
app01-10202	224	2	applied	apply	VERB
app01-10202	224	3	mathematics	mathematic	NOUN
app01-10202	224	4	volume	volume	NOUN
app01-10202	224	5	7	7	NUM
app01-10202	224	6	.	.	PUNCT
app01-10202	224	7	springer	springer	PROPN
app01-10202	224	8	new	new	PROPN
app01-10202	224	9	york	york	PROPN
app01-10202	224	10	,	,	PUNCT
app01-10202	224	11	usa	usa	PROPN
app01-10202	224	12	,	,	PUNCT
app01-10202	224	13	1998	1998	NUM
app01-10202	224	14	.	.	PUNCT
app01-10202	225	1	https://doi.org/10.1007/b98904	https://doi.org/10.1007/b98904	NUM
app01-10202	225	2	[	[	X
app01-10202	225	3	10	10	NUM
app01-10202	225	4	]	]	PUNCT
app01-10202	225	5	j.	j.	PROPN
app01-10202	225	6	c.	c.	PROPN
app01-10202	225	7	simo	simo	PROPN
app01-10202	225	8	,	,	PUNCT
app01-10202	225	9	r.	r.	PROPN
app01-10202	225	10	l.	l.	PROPN
app01-10202	225	11	taylor	taylor	PROPN
app01-10202	225	12	,	,	PUNCT
app01-10202	225	13	k.	k.	PROPN
app01-10202	225	14	s.	s.	PROPN
app01-10202	225	15	pister	pister	PROPN
app01-10202	225	16	.	.	PUNCT
app01-10202	226	1	variational	variational	ADJ
app01-10202	226	2	and	and	CCONJ
app01-10202	226	3	projection	projection	NOUN
app01-10202	226	4	methods	method	NOUN
app01-10202	226	5	for	for	ADP
app01-10202	226	6	the	the	DET
app01-10202	226	7	volume	volume	NOUN
app01-10202	226	8	constraint	constraint	NOUN
app01-10202	226	9	in	in	ADP
app01-10202	226	10	finite	finite	ADJ
app01-10202	226	11	deformation	deformation	NOUN
app01-10202	226	12	elasto	elasto	NOUN
app01-10202	226	13	-	-	PUNCT
app01-10202	226	14	plasticity	plasticity	NOUN
app01-10202	226	15	.	.	PUNCT
app01-10202	227	1	computer	computer	NOUN
app01-10202	227	2	methods	method	NOUN
app01-10202	227	3	in	in	ADP
app01-10202	227	4	applied	applied	ADJ
app01-10202	227	5	mechanics	mechanic	NOUN
app01-10202	227	6	and	and	CCONJ
app01-10202	227	7	engineering	engineering	NOUN
app01-10202	227	8	51(1–3):177–208	51(1–3):177–208	NOUN
app01-10202	227	9	,	,	PUNCT
app01-10202	227	10	1985	1985	NUM
app01-10202	227	11	.	.	PUNCT
app01-10202	228	1	https://doi.org/10.1016/0045-7825(85)90033-7	https://doi.org/10.1016/0045-7825(85)90033-7	PUNCT
app01-10202	228	2	[	[	X
app01-10202	228	3	11	11	NUM
app01-10202	228	4	]	]	PUNCT
app01-10202	228	5	s.	s.	PROPN
app01-10202	228	6	n.	n.	PROPN
app01-10202	228	7	atluri	atluri	PROPN
app01-10202	228	8	,	,	PUNCT
app01-10202	228	9	e.	e.	PROPN
app01-10202	228	10	reissner	reissner	PROPN
app01-10202	228	11	.	.	PUNCT
app01-10202	229	1	on	on	ADP
app01-10202	229	2	the	the	DET
app01-10202	229	3	formulation	formulation	NOUN
app01-10202	229	4	of	of	ADP
app01-10202	229	5	variational	variational	ADJ
app01-10202	229	6	theorems	theorem	NOUN
app01-10202	229	7	involving	involve	VERB
app01-10202	229	8	volume	volume	NOUN
app01-10202	229	9	constraints	constraint	NOUN
app01-10202	229	10	.	.	PUNCT
app01-10202	230	1	computational	computational	ADJ
app01-10202	230	2	mechanics	mechanic	NOUN
app01-10202	230	3	5(5):337–344	5(5):337–344	NUM
app01-10202	230	4	,	,	PUNCT
app01-10202	230	5	1989	1989	NUM
app01-10202	230	6	.	.	PUNCT
app01-10202	231	1	https://doi.org/10.1007/bf01047050	https://doi.org/10.1007/bf01047050	PUNCT
app01-10202	232	1	[	[	X
app01-10202	232	2	12	12	NUM
app01-10202	232	3	]	]	PUNCT
app01-10202	232	4	j.	j.	PROPN
app01-10202	232	5	c.	c.	PROPN
app01-10202	232	6	simo	simo	PROPN
app01-10202	232	7	.	.	PUNCT
app01-10202	233	1	on	on	ADP
app01-10202	233	2	a	a	DET
app01-10202	233	3	fully	fully	ADV
app01-10202	233	4	three	three	NUM
app01-10202	233	5	-	-	PUNCT
app01-10202	233	6	dimensional	dimensional	ADJ
app01-10202	233	7	finite	finite	ADJ
app01-10202	233	8	-	-	ADJ
app01-10202	233	9	strain	strain	ADJ
app01-10202	233	10	viscoelastic	viscoelastic	ADJ
app01-10202	233	11	damage	damage	NOUN
app01-10202	233	12	model	model	NOUN
app01-10202	233	13	:	:	PUNCT
app01-10202	233	14	formulation	formulation	NOUN
app01-10202	233	15	and	and	CCONJ
app01-10202	233	16	computational	computational	ADJ
app01-10202	233	17	aspects	aspect	NOUN
app01-10202	233	18	.	.	PUNCT
app01-10202	234	1	computer	computer	NOUN
app01-10202	234	2	methods	method	NOUN
app01-10202	234	3	in	in	ADP
app01-10202	234	4	applied	applied	ADJ
app01-10202	234	5	mechanics	mechanic	NOUN
app01-10202	234	6	and	and	CCONJ
app01-10202	234	7	engineering	engineering	NOUN
app01-10202	234	8	60(2):153–173	60(2):153–173	PROPN
app01-10202	234	9	,	,	PUNCT
app01-10202	234	10	1987	1987	NUM
app01-10202	234	11	.	.	PUNCT
app01-10202	235	1	https://doi.org/10.1016/0045-7825(87)90107-1	https://doi.org/10.1016/0045-7825(87)90107-1	VERB
app01-10202	235	2	[	[	PUNCT
app01-10202	235	3	13	13	NUM
app01-10202	235	4	]	]	PUNCT
app01-10202	235	5	m.	m.	NOUN
app01-10202	235	6	enelund	enelund	PROPN
app01-10202	235	7	,	,	PUNCT
app01-10202	235	8	g.	g.	PROPN
app01-10202	235	9	a.	a.	NOUN
app01-10202	235	10	lesieutre	lesieutre	PROPN
app01-10202	235	11	.	.	PUNCT
app01-10202	236	1	time	time	NOUN
app01-10202	236	2	domain	domain	NOUN
app01-10202	236	3	modeling	modeling	NOUN
app01-10202	236	4	of	of	ADP
app01-10202	236	5	damping	damp	VERB
app01-10202	236	6	using	use	VERB
app01-10202	236	7	anelastic	anelastic	ADJ
app01-10202	236	8	displacement	displacement	ADJ
app01-10202	236	9	fields	field	NOUN
app01-10202	236	10	and	and	CCONJ
app01-10202	236	11	fractional	fractional	ADJ
app01-10202	236	12	calculus	calculus	NOUN
app01-10202	236	13	.	.	PUNCT
app01-10202	237	1	international	international	ADJ
app01-10202	237	2	journal	journal	PROPN
app01-10202	237	3	of	of	ADP
app01-10202	237	4	solids	solid	NOUN
app01-10202	237	5	and	and	CCONJ
app01-10202	237	6	structures	structure	NOUN
app01-10202	237	7	36(29):4447–4472	36(29):4447–4472	NUM
app01-10202	237	8	,	,	PUNCT
app01-10202	237	9	1999	1999	NUM
app01-10202	237	10	.	.	PUNCT
app01-10202	238	1	https://doi.org/10.1016/s0020-7683(98)00194-2	https://doi.org/10.1016/s0020-7683(98)00194-2	NOUN
app01-10202	238	2	[	[	X
app01-10202	238	3	14	14	NUM
app01-10202	238	4	]	]	X
app01-10202	238	5	c.	c.	PROPN
app01-10202	238	6	lubich	lubich	PROPN
app01-10202	238	7	.	.	PUNCT
app01-10202	239	1	discretized	discretize	VERB
app01-10202	239	2	fractional	fractional	ADJ
app01-10202	239	3	calculus	calculus	NOUN
app01-10202	239	4	.	.	PUNCT
app01-10202	240	1	siam	siam	PROPN
app01-10202	240	2	journal	journal	PROPN
app01-10202	240	3	on	on	ADP
app01-10202	240	4	mathematical	mathematical	ADJ
app01-10202	240	5	analysis	analysis	NOUN
app01-10202	240	6	17(3):704–719	17(3):704–719	PROPN
app01-10202	240	7	,	,	PUNCT
app01-10202	240	8	1986	1986	NUM
app01-10202	240	9	.	.	PUNCT
app01-10202	241	1	https://doi.org/10.1137/0517050	https://doi.org/10.1137/0517050	X
app01-10202	242	1	[	[	X
app01-10202	242	2	15	15	NUM
app01-10202	242	3	]	]	X
app01-10202	242	4	j.	j.	PROPN
app01-10202	242	5	c.	c.	PROPN
app01-10202	242	6	simo	simo	PROPN
app01-10202	242	7	,	,	PUNCT
app01-10202	242	8	r.	r.	PROPN
app01-10202	242	9	l.	l.	PROPN
app01-10202	242	10	taylor	taylor	PROPN
app01-10202	242	11	.	.	PUNCT
app01-10202	243	1	consistent	consistent	ADJ
app01-10202	243	2	tangent	tangent	NOUN
app01-10202	243	3	operators	operator	NOUN
app01-10202	243	4	for	for	ADP
app01-10202	243	5	rate	rate	NOUN
app01-10202	243	6	-	-	PUNCT
app01-10202	243	7	independent	independent	ADJ
app01-10202	243	8	elastoplasticity	elastoplasticity	NOUN
app01-10202	243	9	.	.	PUNCT
app01-10202	244	1	computer	computer	NOUN
app01-10202	244	2	methods	method	NOUN
app01-10202	244	3	in	in	ADP
app01-10202	244	4	applied	applied	ADJ
app01-10202	244	5	mechanics	mechanic	NOUN
app01-10202	244	6	and	and	CCONJ
app01-10202	244	7	engineering	engineering	NOUN
app01-10202	244	8	48(1):101–118	48(1):101–118	PROPN
app01-10202	244	9	,	,	PUNCT
app01-10202	244	10	1985	1985	NUM
app01-10202	244	11	.	.	PUNCT
app01-10202	245	1	https://doi.org/10.1016/0045-7825(85)90070-2	https://doi.org/10.1016/0045-7825(85)90070-2	PROPN
app01-10202	246	1	[	[	X
app01-10202	246	2	16	16	NUM
app01-10202	246	3	]	]	PUNCT
app01-10202	246	4	a.	a.	NOUN
app01-10202	246	5	prakash	prakash	PROPN
app01-10202	246	6	,	,	PUNCT
app01-10202	246	7	k.	k.	PROPN
app01-10202	246	8	d.	d.	PROPN
app01-10202	246	9	hjelmstad	hjelmstad	PROPN
app01-10202	246	10	.	.	PUNCT
app01-10202	247	1	a	a	DET
app01-10202	247	2	feti	feti	PROPN
app01-10202	247	3	-	-	PUNCT
app01-10202	247	4	based	base	VERB
app01-10202	247	5	multi	multi	ADJ
app01-10202	247	6	-	-	ADJ
app01-10202	247	7	time	time	ADJ
app01-10202	247	8	-	-	PUNCT
app01-10202	247	9	step	step	NOUN
app01-10202	247	10	coupling	coupling	NOUN
app01-10202	247	11	method	method	NOUN
app01-10202	247	12	for	for	ADP
app01-10202	247	13	newmark	newmark	NOUN
app01-10202	247	14	schemes	scheme	NOUN
app01-10202	247	15	in	in	ADP
app01-10202	247	16	structural	structural	ADJ
app01-10202	247	17	dynamics	dynamic	NOUN
app01-10202	247	18	.	.	PUNCT
app01-10202	248	1	international	international	ADJ
app01-10202	248	2	journal	journal	PROPN
app01-10202	248	3	for	for	ADP
app01-10202	248	4	numerical	numerical	ADJ
app01-10202	248	5	methods	method	NOUN
app01-10202	248	6	in	in	ADP
app01-10202	248	7	engineering	engineering	NOUN
app01-10202	248	8	61(13):2183–2204	61(13):2183–2204	PROPN
app01-10202	248	9	,	,	PUNCT
app01-10202	248	10	2004	2004	NUM
app01-10202	248	11	.	.	PUNCT
app01-10202	249	1	https://doi.org/10.1002/nme.1136	https://doi.org/10.1002/nme.1136	NOUN
app01-10202	249	2	19	19	NUM
app01-10202	249	3	https://doi.org/10.1007/b98904	https://doi.org/10.1007/b98904	NUM
app01-10202	249	4	https://doi.org/10.1016/0045-7825(85)90033-7	https://doi.org/10.1016/0045-7825(85)90033-7	ADV
app01-10202	249	5	https://doi.org/10.1007/bf01047050	https://doi.org/10.1007/bf01047050	VERB
app01-10202	249	6	https://doi.org/10.1016/0045-7825(87)90107-1	https://doi.org/10.1016/0045-7825(87)90107-1	ADJ
app01-10202	249	7	https://doi.org/10.1016/s0020-7683(98)00194-2	https://doi.org/10.1016/s0020-7683(98)00194-2	NOUN
app01-10202	249	8	https://doi.org/10.1137/0517050	https://doi.org/10.1137/0517050	PRON
app01-10202	249	9	https://doi.org/10.1016/0045-7825(85)90070-2	https://doi.org/10.1016/0045-7825(85)90070-2	PROPN
app01-10202	250	1	https://doi.org/10.1002/nme.1136	https://doi.org/10.1002/nme.1136	PROPN
app01-10202	250	2	acta	acta	PROPN
app01-10202	250	3	polytechnica	polytechnica	PROPN
app01-10202	250	4	ctu	ctu	PROPN
app01-10202	250	5	proceedings	proceedings	PROPN
app01-10202	250	6	49:13–19	49:13–19	PROPN
app01-10202	250	7	,	,	PUNCT
app01-10202	250	8	2024	2024	NUM
app01-10202	250	9	1	1	NUM
app01-10202	250	10	introduction	introduction	NOUN
app01-10202	250	11	2	2	NUM
app01-10202	250	12	constitutive	constitutive	ADJ
app01-10202	250	13	relationships	relationship	NOUN
app01-10202	250	14	2.1	2.1	NUM
app01-10202	250	15	hyperelastic	hyperelastic	ADJ
app01-10202	250	16	material	material	NOUN
app01-10202	250	17	2.2	2.2	NUM
app01-10202	250	18	fractional	fractional	ADJ
app01-10202	250	19	viscoelasticity	viscoelasticity	NOUN
app01-10202	250	20	3	3	NUM
app01-10202	250	21	the	the	DET
app01-10202	250	22	weak	weak	ADJ
app01-10202	250	23	formulation	formulation	NOUN
app01-10202	250	24	4	4	NUM
app01-10202	250	25	numerical	numerical	ADJ
app01-10202	250	26	algorithm	algorithm	NOUN
app01-10202	250	27	5	5	NUM
app01-10202	250	28	numerical	numerical	ADJ
app01-10202	250	29	example	example	NOUN
app01-10202	250	30	6	6	NUM
app01-10202	250	31	conclusion	conclusion	NOUN
app01-10202	250	32	acknowledgements	acknowledgement	NOUN
app01-10202	250	33	references	reference	NOUN
