id	sid	tid	token	lemma	pos
app01-8120	1	1	acta	acta	PROPN
app01-8120	1	2	polytechnica	polytechnica	PROPN
app01-8120	1	3	ctu	ctu	NOUN
app01-8120	1	4	proceedings	proceeding	NOUN
app01-8120	1	5	https://doi.org/10.14311/app.2022.34.0098	https://doi.org/10.14311/app.2022.34.0098	PROPN
app01-8120	1	6	acta	acta	PROPN
app01-8120	1	7	polytechnica	polytechnica	PROPN
app01-8120	1	8	ctu	ctu	NOUN
app01-8120	1	9	proceedings	proceeding	NOUN
app01-8120	1	10	34:98–104	34:98–104	NUM
app01-8120	1	11	,	,	PUNCT
app01-8120	1	12	2022	2022	NUM
app01-8120	1	13	©	©	ADP
app01-8120	1	14	2022	2022	NUM
app01-8120	1	15	the	the	DET
app01-8120	1	16	author(s	author(s	NOUN
app01-8120	1	17	)	)	PUNCT
app01-8120	1	18	.	.	PUNCT
app01-8120	2	1	licensed	license	VERB
app01-8120	2	2	under	under	ADP
app01-8120	2	3	a	a	DET
app01-8120	2	4	cc	cc	NOUN
app01-8120	2	5	-	-	PUNCT
app01-8120	2	6	by	by	ADP
app01-8120	2	7	4.0	4.0	NUM
app01-8120	2	8	licence	licence	NOUN
app01-8120	2	9	published	publish	VERB
app01-8120	2	10	by	by	ADP
app01-8120	2	11	the	the	DET
app01-8120	2	12	czech	czech	PROPN
app01-8120	2	13	technical	technical	PROPN
app01-8120	2	14	university	university	PROPN
app01-8120	2	15	in	in	ADP
app01-8120	2	16	prague	prague	PROPN
app01-8120	2	17	phase	phase	NOUN
app01-8120	2	18	-	-	PUNCT
app01-8120	2	19	field	field	NOUN
app01-8120	2	20	damage	damage	NOUN
app01-8120	2	21	of	of	ADP
app01-8120	2	22	laminated	laminated	ADJ
app01-8120	2	23	glass	glass	NOUN
app01-8120	2	24	in	in	ADP
app01-8120	2	25	explicit	explicit	ADJ
app01-8120	2	26	dynamics	dynamic	NOUN
app01-8120	2	27	jaroslav	jaroslav	NOUN
app01-8120	2	28	schmidt∗	schmidt∗	PROPN
app01-8120	2	29	,	,	PUNCT
app01-8120	2	30	tomáš	tomáš	ADP
app01-8120	2	31	janda	janda	PROPN
app01-8120	2	32	czech	czech	PROPN
app01-8120	2	33	technical	technical	PROPN
app01-8120	2	34	university	university	PROPN
app01-8120	2	35	in	in	ADP
app01-8120	2	36	prague	prague	PROPN
app01-8120	2	37	,	,	PUNCT
app01-8120	2	38	faculty	faculty	NOUN
app01-8120	2	39	of	of	ADP
app01-8120	2	40	civil	civil	ADJ
app01-8120	2	41	engineering	engineering	NOUN
app01-8120	2	42	,	,	PUNCT
app01-8120	2	43	department	department	NOUN
app01-8120	2	44	of	of	ADP
app01-8120	2	45	mechanics	mechanic	NOUN
app01-8120	2	46	,	,	PUNCT
app01-8120	2	47	thákurova	thákurova	X
app01-8120	2	48	7	7	NUM
app01-8120	2	49	,	,	PUNCT
app01-8120	2	50	166	166	NUM
app01-8120	2	51	29	29	NUM
app01-8120	2	52	praha	praha	NOUN
app01-8120	2	53	6	6	NUM
app01-8120	2	54	,	,	PUNCT
app01-8120	2	55	czech	czech	PROPN
app01-8120	2	56	republic	republic	NOUN
app01-8120	2	57	∗	∗	NOUN
app01-8120	2	58	corresponding	correspond	VERB
app01-8120	2	59	author	author	NOUN
app01-8120	2	60	:	:	PUNCT
app01-8120	2	61	jaroslav.schmidt@fsv.cvut.cz	jaroslav.schmidt@fsv.cvut.cz	PROPN
app01-8120	2	62	abstract	abstract	NOUN
app01-8120	2	63	.	.	PUNCT
app01-8120	3	1	laminated	laminated	ADJ
app01-8120	3	2	glass	glass	NOUN
app01-8120	3	3	is	be	AUX
app01-8120	3	4	aesthetic	aesthetic	ADJ
app01-8120	3	5	but	but	CCONJ
app01-8120	3	6	also	also	ADV
app01-8120	3	7	functional	functional	ADJ
app01-8120	3	8	modern	modern	ADJ
app01-8120	3	9	material	material	NOUN
app01-8120	3	10	,	,	PUNCT
app01-8120	3	11	which	which	PRON
app01-8120	3	12	has	have	AUX
app01-8120	3	13	spread	spread	VERB
app01-8120	3	14	from	from	ADP
app01-8120	3	15	the	the	DET
app01-8120	3	16	automotive	automotive	ADJ
app01-8120	3	17	industry	industry	NOUN
app01-8120	3	18	to	to	ADP
app01-8120	3	19	the	the	DET
app01-8120	3	20	civil	civil	ADJ
app01-8120	3	21	engineering	engineering	NOUN
app01-8120	3	22	in	in	ADP
app01-8120	3	23	the	the	DET
app01-8120	3	24	form	form	NOUN
app01-8120	3	25	of	of	ADP
app01-8120	3	26	design	design	NOUN
app01-8120	3	27	as	as	ADV
app01-8120	3	28	well	well	ADV
app01-8120	3	29	as	as	ADP
app01-8120	3	30	structural	structural	ADJ
app01-8120	3	31	elements	element	NOUN
app01-8120	3	32	.	.	PUNCT
app01-8120	4	1	proper	proper	ADJ
app01-8120	4	2	design	design	NOUN
app01-8120	4	3	of	of	ADP
app01-8120	4	4	this	this	DET
app01-8120	4	5	material	material	NOUN
app01-8120	4	6	requires	require	VERB
app01-8120	4	7	understanding	understand	VERB
app01-8120	4	8	not	not	PART
app01-8120	4	9	only	only	ADV
app01-8120	4	10	its	its	PRON
app01-8120	4	11	intact	intact	ADJ
app01-8120	4	12	phase	phase	NOUN
app01-8120	4	13	,	,	PUNCT
app01-8120	4	14	but	but	CCONJ
app01-8120	4	15	also	also	ADV
app01-8120	4	16	its	its	PRON
app01-8120	4	17	post	post	ADJ
app01-8120	4	18	-	-	ADJ
app01-8120	4	19	breakage	breakage	NOUN
app01-8120	4	20	behavior	behavior	NOUN
app01-8120	4	21	.	.	PUNCT
app01-8120	5	1	to	to	PART
app01-8120	5	2	describe	describe	VERB
app01-8120	5	3	crack	crack	VERB
app01-8120	5	4	initiation	initiation	NOUN
app01-8120	5	5	and	and	CCONJ
app01-8120	5	6	propagation	propagation	NOUN
app01-8120	5	7	the	the	DET
app01-8120	5	8	phase	phase	NOUN
app01-8120	5	9	field	field	NOUN
app01-8120	5	10	damage	damage	NOUN
app01-8120	5	11	model	model	NOUN
app01-8120	5	12	seems	seem	VERB
app01-8120	5	13	to	to	PART
app01-8120	5	14	be	be	AUX
app01-8120	5	15	suitable	suitable	ADJ
app01-8120	5	16	tool	tool	NOUN
app01-8120	5	17	despite	despite	SCONJ
app01-8120	5	18	the	the	DET
app01-8120	5	19	fact	fact	NOUN
app01-8120	5	20	that	that	SCONJ
app01-8120	5	21	this	this	DET
app01-8120	5	22	approach	approach	NOUN
app01-8120	5	23	requires	require	VERB
app01-8120	5	24	a	a	DET
app01-8120	5	25	fine	fine	ADJ
app01-8120	5	26	mesh	mesh	NOUN
app01-8120	5	27	to	to	ADP
app01-8120	5	28	sufficiently	sufficiently	ADV
app01-8120	5	29	interpolate	interpolate	VERB
app01-8120	5	30	sharp	sharp	ADJ
app01-8120	5	31	discontinuity	discontinuity	NOUN
app01-8120	5	32	.	.	PUNCT
app01-8120	6	1	in	in	ADP
app01-8120	6	2	this	this	DET
app01-8120	6	3	contribution	contribution	NOUN
app01-8120	6	4	we	we	PRON
app01-8120	6	5	investigate	investigate	VERB
app01-8120	6	6	possibilities	possibility	NOUN
app01-8120	6	7	of	of	ADP
app01-8120	6	8	explicit	explicit	ADJ
app01-8120	6	9	phase	phase	NOUN
app01-8120	6	10	field	field	NOUN
app01-8120	6	11	dynamic	dynamic	ADJ
app01-8120	6	12	model	model	NOUN
app01-8120	6	13	with	with	ADP
app01-8120	6	14	specific	specific	ADJ
app01-8120	6	15	use	use	NOUN
app01-8120	6	16	on	on	ADP
app01-8120	6	17	glass	glass	NOUN
app01-8120	6	18	plates	plate	NOUN
app01-8120	6	19	,	,	PUNCT
app01-8120	6	20	especially	especially	ADV
app01-8120	6	21	applied	apply	VERB
app01-8120	6	22	for	for	ADP
app01-8120	6	23	dynamic	dynamic	ADJ
app01-8120	6	24	impact	impact	NOUN
app01-8120	6	25	load	load	NOUN
app01-8120	6	26	.	.	PUNCT
app01-8120	7	1	the	the	DET
app01-8120	7	2	dependence	dependence	NOUN
app01-8120	7	3	of	of	ADP
app01-8120	7	4	the	the	DET
app01-8120	7	5	result	result	NOUN
app01-8120	7	6	on	on	ADP
app01-8120	7	7	residual	residual	ADJ
app01-8120	7	8	stiffness	stiffness	ADJ
app01-8120	7	9	term	term	NOUN
app01-8120	7	10	is	be	AUX
app01-8120	7	11	examined	examine	VERB
app01-8120	7	12	and	and	CCONJ
app01-8120	7	13	incorrect	incorrect	ADJ
app01-8120	7	14	crack	crack	NOUN
app01-8120	7	15	speed	speed	NOUN
app01-8120	7	16	is	be	AUX
app01-8120	7	17	observed	observe	VERB
app01-8120	7	18	.	.	PUNCT
app01-8120	8	1	usability	usability	NOUN
app01-8120	8	2	of	of	ADP
app01-8120	8	3	phase	phase	NOUN
app01-8120	8	4	-	-	PUNCT
app01-8120	8	5	field	field	NOUN
app01-8120	8	6	model	model	NOUN
app01-8120	8	7	is	be	AUX
app01-8120	8	8	still	still	ADV
app01-8120	8	9	uncertain	uncertain	ADJ
app01-8120	8	10	.	.	PUNCT
app01-8120	9	1	keywords	keyword	NOUN
app01-8120	9	2	:	:	PUNCT
app01-8120	9	3	phase	phase	NOUN
app01-8120	9	4	field	field	NOUN
app01-8120	9	5	damage	damage	NOUN
app01-8120	9	6	model	model	NOUN
app01-8120	9	7	,	,	PUNCT
app01-8120	9	8	laminated	laminated	ADJ
app01-8120	9	9	glass	glass	NOUN
app01-8120	9	10	,	,	PUNCT
app01-8120	9	11	dynamic	dynamic	ADJ
app01-8120	9	12	damage	damage	NOUN
app01-8120	9	13	,	,	PUNCT
app01-8120	9	14	glass	glass	NOUN
app01-8120	9	15	fracture	fracture	NOUN
app01-8120	9	16	.	.	PUNCT
app01-8120	10	1	1	1	X
app01-8120	10	2	.	.	X
app01-8120	10	3	introduction	introduction	NOUN
app01-8120	10	4	the	the	DET
app01-8120	10	5	so	so	ADV
app01-8120	10	6	called	call	VERB
app01-8120	10	7	phase	phase	NOUN
app01-8120	10	8	-	-	PUNCT
app01-8120	10	9	field	field	NOUN
app01-8120	10	10	damage	damage	NOUN
app01-8120	10	11	model	model	NOUN
app01-8120	10	12	firstly	firstly	ADV
app01-8120	10	13	presented	present	VERB
app01-8120	10	14	in	in	ADP
app01-8120	10	15	[	[	X
app01-8120	10	16	1	1	NUM
app01-8120	10	17	]	]	PUNCT
app01-8120	10	18	is	be	AUX
app01-8120	10	19	nowadays	nowadays	ADV
app01-8120	10	20	very	very	ADV
app01-8120	10	21	popular	popular	ADJ
app01-8120	10	22	approach	approach	NOUN
app01-8120	10	23	and	and	CCONJ
app01-8120	10	24	it	it	PRON
app01-8120	10	25	is	be	AUX
app01-8120	10	26	widely	widely	ADV
app01-8120	10	27	studied	study	VERB
app01-8120	10	28	.	.	PUNCT
app01-8120	11	1	the	the	DET
app01-8120	11	2	disadvantage	disadvantage	NOUN
app01-8120	11	3	of	of	ADP
app01-8120	11	4	such	such	DET
app01-8120	11	5	a	a	DET
app01-8120	11	6	model	model	NOUN
app01-8120	11	7	is	be	AUX
app01-8120	11	8	the	the	DET
app01-8120	11	9	need	need	NOUN
app01-8120	11	10	for	for	ADP
app01-8120	11	11	a	a	DET
app01-8120	11	12	fine	fine	ADJ
app01-8120	11	13	mesh	mesh	NOUN
app01-8120	11	14	to	to	PART
app01-8120	11	15	simulate	simulate	VERB
app01-8120	11	16	brittle	brittle	ADJ
app01-8120	11	17	failure	failure	NOUN
app01-8120	11	18	,	,	PUNCT
app01-8120	11	19	but	but	CCONJ
app01-8120	11	20	the	the	DET
app01-8120	11	21	main	main	ADJ
app01-8120	11	22	advantage	advantage	NOUN
app01-8120	11	23	remains	remain	VERB
app01-8120	11	24	the	the	DET
app01-8120	11	25	prediction	prediction	NOUN
app01-8120	11	26	of	of	ADP
app01-8120	11	27	crack	crack	VERB
app01-8120	11	28	initiation	initiation	NOUN
app01-8120	11	29	and	and	CCONJ
app01-8120	11	30	branching	branch	VERB
app01-8120	11	31	without	without	ADP
app01-8120	11	32	additional	additional	ADJ
app01-8120	11	33	ad	ad	X
app01-8120	11	34	hoc	hoc	X
app01-8120	11	35	criteria	criterion	NOUN
app01-8120	11	36	.	.	PUNCT
app01-8120	12	1	these	these	DET
app01-8120	12	2	phenomena	phenomenon	NOUN
app01-8120	12	3	are	be	AUX
app01-8120	12	4	predicted	predict	VERB
app01-8120	12	5	within	within	ADP
app01-8120	12	6	a	a	DET
app01-8120	12	7	variational	variational	ADJ
app01-8120	12	8	principle	principle	NOUN
app01-8120	12	9	.	.	PUNCT
app01-8120	13	1	despite	despite	SCONJ
app01-8120	13	2	the	the	DET
app01-8120	13	3	fact	fact	NOUN
app01-8120	13	4	that	that	SCONJ
app01-8120	13	5	it	it	PRON
app01-8120	13	6	was	be	AUX
app01-8120	13	7	academicly	academicly	ADV
app01-8120	13	8	investigated	investigate	VERB
app01-8120	13	9	in	in	ADP
app01-8120	13	10	dynamic	dynamic	ADJ
app01-8120	13	11	regime	regime	NOUN
app01-8120	13	12	[	[	X
app01-8120	13	13	2	2	NUM
app01-8120	13	14	]	]	PUNCT
app01-8120	13	15	,	,	PUNCT
app01-8120	13	16	there	there	PRON
app01-8120	13	17	is	be	VERB
app01-8120	13	18	still	still	ADV
app01-8120	13	19	a	a	DET
app01-8120	13	20	few	few	ADJ
app01-8120	13	21	articles	article	NOUN
app01-8120	13	22	focused	focus	VERB
app01-8120	13	23	on	on	ADP
app01-8120	13	24	application	application	NOUN
app01-8120	13	25	on	on	ADP
app01-8120	13	26	real	real	ADJ
app01-8120	13	27	structures	structure	NOUN
app01-8120	13	28	.	.	PUNCT
app01-8120	14	1	this	this	DET
app01-8120	14	2	paper	paper	NOUN
app01-8120	14	3	focuses	focus	VERB
app01-8120	14	4	on	on	ADP
app01-8120	14	5	such	such	DET
app01-8120	14	6	an	an	DET
app01-8120	14	7	analysis	analysis	NOUN
app01-8120	14	8	by	by	ADP
app01-8120	14	9	modeling	model	VERB
app01-8120	14	10	the	the	DET
app01-8120	14	11	cracking	cracking	NOUN
app01-8120	14	12	of	of	ADP
app01-8120	14	13	glass	glass	NOUN
app01-8120	14	14	under	under	ADP
app01-8120	14	15	dynamic	dynamic	ADJ
app01-8120	14	16	loading	loading	NOUN
app01-8120	14	17	.	.	PUNCT
app01-8120	15	1	the	the	DET
app01-8120	15	2	dynamic	dynamic	ADJ
app01-8120	15	3	model	model	NOUN
app01-8120	15	4	including	include	VERB
app01-8120	15	5	impact	impact	NOUN
app01-8120	15	6	is	be	AUX
app01-8120	15	7	briefly	briefly	ADV
app01-8120	15	8	presented	present	VERB
app01-8120	15	9	in	in	ADP
app01-8120	15	10	section	section	NOUN
app01-8120	15	11	2	2	NUM
app01-8120	15	12	.	.	PUNCT
app01-8120	16	1	the	the	DET
app01-8120	16	2	phase	phase	NOUN
app01-8120	16	3	-	-	PUNCT
app01-8120	16	4	field	field	NOUN
app01-8120	16	5	model	model	NOUN
app01-8120	16	6	formulation	formulation	NOUN
app01-8120	16	7	follows	follow	VERB
app01-8120	16	8	partially	partially	ADV
app01-8120	16	9	from	from	ADP
app01-8120	16	10	[	[	X
app01-8120	16	11	3	3	NUM
app01-8120	16	12	]	]	PUNCT
app01-8120	16	13	and	and	CCONJ
app01-8120	16	14	[	[	X
app01-8120	16	15	4	4	NUM
app01-8120	16	16	]	]	PUNCT
app01-8120	16	17	.	.	PUNCT
app01-8120	17	1	for	for	ADP
app01-8120	17	2	comprehensive	comprehensive	ADJ
app01-8120	17	3	overview	overview	NOUN
app01-8120	17	4	see	see	VERB
app01-8120	17	5	[	[	X
app01-8120	17	6	5	5	NUM
app01-8120	17	7	]	]	PUNCT
app01-8120	17	8	.	.	PUNCT
app01-8120	18	1	the	the	DET
app01-8120	18	2	implementation	implementation	NOUN
app01-8120	18	3	details	detail	NOUN
app01-8120	18	4	are	be	AUX
app01-8120	18	5	summarized	summarize	VERB
app01-8120	18	6	in	in	ADP
app01-8120	18	7	section	section	NOUN
app01-8120	18	8	3	3	NUM
app01-8120	18	9	followed	follow	VERB
app01-8120	18	10	by	by	ADP
app01-8120	18	11	fem	fem	NOUN
app01-8120	18	12	model	model	NOUN
app01-8120	18	13	description	description	NOUN
app01-8120	18	14	in	in	ADP
app01-8120	18	15	section	section	NOUN
app01-8120	18	16	4	4	NUM
app01-8120	18	17	.	.	PUNCT
app01-8120	19	1	the	the	DET
app01-8120	19	2	first	first	PROPN
app01-8120	19	3	numerical	numerical	ADJ
app01-8120	19	4	results	result	NOUN
app01-8120	19	5	are	be	AUX
app01-8120	19	6	benchmarked	benchmarke	VERB
app01-8120	19	7	in	in	ADP
app01-8120	19	8	section	section	NOUN
app01-8120	19	9	5	5	NUM
app01-8120	19	10	and	and	CCONJ
app01-8120	19	11	finally	finally	ADV
app01-8120	19	12	the	the	DET
app01-8120	19	13	main	main	ADJ
app01-8120	19	14	results	result	NOUN
app01-8120	19	15	are	be	AUX
app01-8120	19	16	presented	present	VERB
app01-8120	19	17	in	in	ADP
app01-8120	19	18	section	section	NOUN
app01-8120	19	19	6	6	NUM
app01-8120	19	20	and	and	CCONJ
app01-8120	19	21	concluded	conclude	VERB
app01-8120	19	22	in	in	ADP
app01-8120	19	23	section	section	NOUN
app01-8120	19	24	7	7	NUM
app01-8120	19	25	.	.	NOUN
app01-8120	19	26	2	2	NUM
app01-8120	19	27	.	.	NOUN
app01-8120	19	28	phase	phase	NOUN
app01-8120	19	29	-	-	PUNCT
app01-8120	19	30	field	field	NOUN
app01-8120	19	31	model	model	NOUN
app01-8120	19	32	we	we	PRON
app01-8120	19	33	suppose	suppose	VERB
app01-8120	19	34	the	the	DET
app01-8120	19	35	elastic	elastic	ADJ
app01-8120	19	36	damageable	damageable	ADJ
app01-8120	19	37	material	material	NOUN
app01-8120	19	38	occupying	occupy	VERB
app01-8120	19	39	space	space	NOUN
app01-8120	19	40	ω	ω	PROPN
app01-8120	19	41	is	be	AUX
app01-8120	19	42	loaded	load	VERB
app01-8120	19	43	by	by	ADP
app01-8120	19	44	external	external	ADJ
app01-8120	19	45	traction	traction	NOUN
app01-8120	19	46	forces	force	NOUN
app01-8120	19	47	t	t	PROPN
app01-8120	19	48	on	on	ADP
app01-8120	19	49	part	part	NOUN
app01-8120	19	50	ωt	ωt	ADP
app01-8120	19	51	and	and	CCONJ
app01-8120	19	52	the	the	DET
app01-8120	19	53	current	current	ADJ
app01-8120	19	54	body	body	NOUN
app01-8120	19	55	deformation	deformation	NOUN
app01-8120	19	56	is	be	AUX
app01-8120	19	57	described	describe	VERB
app01-8120	19	58	by	by	ADP
app01-8120	19	59	displacement	displacement	ADJ
app01-8120	19	60	field	field	NOUN
app01-8120	19	61	u(x	u(x	NOUN
app01-8120	19	62	)	)	PUNCT
app01-8120	19	63	and	and	CCONJ
app01-8120	19	64	damage	damage	NOUN
app01-8120	19	65	field	field	NOUN
app01-8120	19	66	d(x	d(x	PROPN
app01-8120	19	67	)	)	PUNCT
app01-8120	19	68	.	.	PUNCT
app01-8120	20	1	the	the	DET
app01-8120	20	2	latter	latter	ADJ
app01-8120	20	3	one	one	NOUN
app01-8120	20	4	represents	represent	VERB
app01-8120	20	5	the	the	DET
app01-8120	20	6	relative	relative	ADJ
app01-8120	20	7	measure	measure	NOUN
app01-8120	20	8	of	of	ADP
app01-8120	20	9	damage	damage	NOUN
app01-8120	20	10	as	as	ADP
app01-8120	20	11	a	a	DET
app01-8120	20	12	transition	transition	NOUN
app01-8120	20	13	of	of	ADP
app01-8120	20	14	the	the	DET
app01-8120	20	15	intact	intact	ADJ
app01-8120	20	16	material	material	NOUN
app01-8120	20	17	d	d	NOUN
app01-8120	20	18	=	=	SYM
app01-8120	20	19	0	0	NUM
app01-8120	20	20	to	to	ADP
app01-8120	20	21	a	a	DET
app01-8120	20	22	fully	fully	ADV
app01-8120	20	23	developed	develop	VERB
app01-8120	20	24	crack	crack	NOUN
app01-8120	20	25	d	d	NOUN
app01-8120	20	26	=	=	NOUN
app01-8120	20	27	1	1	X
app01-8120	20	28	.	.	PUNCT
app01-8120	20	29	for	for	ADP
app01-8120	20	30	dynamical	dynamical	ADJ
app01-8120	20	31	systems	system	NOUN
app01-8120	20	32	,	,	PUNCT
app01-8120	20	33	the	the	DET
app01-8120	20	34	common	common	ADJ
app01-8120	20	35	principle	principle	NOUN
app01-8120	20	36	of	of	ADP
app01-8120	20	37	minimum	minimum	ADJ
app01-8120	20	38	potential	potential	NOUN
app01-8120	20	39	is	be	AUX
app01-8120	20	40	replaced	replace	VERB
app01-8120	20	41	by	by	ADP
app01-8120	20	42	hamilton	hamilton	PROPN
app01-8120	20	43	’s	’s	PART
app01-8120	20	44	principle	principle	NOUN
app01-8120	20	45	of	of	ADP
app01-8120	20	46	stationary	stationary	ADJ
app01-8120	20	47	action	action	NOUN
app01-8120	20	48	and	and	CCONJ
app01-8120	20	49	fields	field	NOUN
app01-8120	20	50	u(t	u(t	NOUN
app01-8120	20	51	)	)	PUNCT
app01-8120	20	52	and	and	CCONJ
app01-8120	20	53	d(t	d(t	PROPN
app01-8120	20	54	)	)	PUNCT
app01-8120	20	55	,	,	PUNCT
app01-8120	20	56	t	t	PROPN
app01-8120	20	57	∈	∈	PROPN
app01-8120	20	58	〈	〈	PROPN
app01-8120	20	59	0	0	NUM
app01-8120	20	60	,	,	PUNCT
app01-8120	20	61	t	t	PROPN
app01-8120	20	62	〉	〉	PROPN
app01-8120	20	63	are	be	AUX
app01-8120	20	64	obtained	obtain	VERB
app01-8120	20	65	by	by	ADP
app01-8120	20	66	minimization	minimization	NOUN
app01-8120	20	67	of	of	ADP
app01-8120	20	68	action	action	NOUN
app01-8120	20	69	a(u	a(u	PROPN
app01-8120	20	70	,	,	PUNCT
app01-8120	20	71	u̇	u̇	PROPN
app01-8120	20	72	,	,	PUNCT
app01-8120	20	73	d	d	NOUN
app01-8120	20	74	)	)	PUNCT
app01-8120	21	1	=	=	SYM
app01-8120	21	2	∫	∫	PROPN
app01-8120	21	3	t	t	PROPN
app01-8120	21	4	0	0	NUM
app01-8120	21	5	l(u	l(u	PROPN
app01-8120	21	6	,	,	PUNCT
app01-8120	21	7	u̇	u̇	PROPN
app01-8120	21	8	,	,	PUNCT
app01-8120	21	9	d	d	NOUN
app01-8120	21	10	)	)	PUNCT
app01-8120	21	11	dt	dt	NOUN
app01-8120	21	12	,	,	PUNCT
app01-8120	21	13	(	(	PUNCT
app01-8120	21	14	1	1	X
app01-8120	21	15	)	)	PUNCT
app01-8120	21	16	where	where	SCONJ
app01-8120	21	17	l	l	NOUN
app01-8120	21	18	is	be	AUX
app01-8120	21	19	so	so	ADV
app01-8120	21	20	called	call	VERB
app01-8120	21	21	lagrangian	lagrangian	ADJ
app01-8120	21	22	which	which	DET
app01-8120	21	23	form	form	NOUN
app01-8120	21	24	is	be	AUX
app01-8120	21	25	postulated	postulate	VERB
app01-8120	21	26	as	as	ADP
app01-8120	21	27	l(u	l(u	PROPN
app01-8120	21	28	,	,	PUNCT
app01-8120	21	29	u̇	u̇	PROPN
app01-8120	21	30	,	,	PUNCT
app01-8120	21	31	d	d	NOUN
app01-8120	21	32	)	)	PUNCT
app01-8120	21	33	=	=	SYM
app01-8120	21	34	k(u̇)−ψe(u	k(u̇)−ψe(u	PROPN
app01-8120	21	35	,	,	PUNCT
app01-8120	21	36	d)−ψs	d)−ψs	PROPN
app01-8120	21	37	,	,	PUNCT
app01-8120	21	38	l(d	l(d	PROPN
app01-8120	21	39	)	)	PUNCT
app01-8120	21	40	+	+	PUNCT
app01-8120	21	41	p(u	p(u	ADJ
app01-8120	21	42	)	)	PUNCT
app01-8120	21	43	,	,	PUNCT
app01-8120	21	44	(	(	PUNCT
app01-8120	21	45	2	2	X
app01-8120	21	46	)	)	PUNCT
app01-8120	21	47	where	where	SCONJ
app01-8120	21	48	k	k	PROPN
app01-8120	21	49	is	be	AUX
app01-8120	21	50	kinetic	kinetic	ADJ
app01-8120	21	51	energy	energy	NOUN
app01-8120	21	52	defined	define	VERB
app01-8120	21	53	as	as	ADP
app01-8120	21	54	quadratic	quadratic	ADJ
app01-8120	21	55	form	form	NOUN
app01-8120	21	56	of	of	ADP
app01-8120	21	57	displacement	displacement	NOUN
app01-8120	21	58	k(u̇	k(u̇	PROPN
app01-8120	21	59	)	)	PUNCT
app01-8120	21	60	=	=	SYM
app01-8120	22	1	∫	∫	PROPN
app01-8120	22	2	ω	ω	NUM
app01-8120	22	3	1	1	NUM
app01-8120	22	4	2ρu̇	2ρu̇	NUM
app01-8120	22	5	·	·	PUNCT
app01-8120	22	6	u̇	u̇	PROPN
app01-8120	23	1	dx	dx	PROPN
app01-8120	23	2	.	.	PUNCT
app01-8120	24	1	(	(	PUNCT
app01-8120	24	2	3	3	X
app01-8120	24	3	)	)	PUNCT
app01-8120	24	4	this	this	DET
app01-8120	24	5	formulation	formulation	NOUN
app01-8120	24	6	assumes	assume	VERB
app01-8120	24	7	that	that	SCONJ
app01-8120	24	8	kinetic	kinetic	ADJ
app01-8120	24	9	energy	energy	NOUN
app01-8120	24	10	is	be	AUX
app01-8120	24	11	not	not	PART
app01-8120	24	12	affected	affect	VERB
app01-8120	24	13	by	by	ADP
app01-8120	24	14	damage	damage	NOUN
app01-8120	24	15	,	,	PUNCT
app01-8120	24	16	therefore	therefore	ADV
app01-8120	24	17	the	the	DET
app01-8120	24	18	functional	functional	ADJ
app01-8120	24	19	is	be	AUX
app01-8120	24	20	dindependent	dindependent	ADJ
app01-8120	24	21	.	.	PUNCT
app01-8120	25	1	the	the	DET
app01-8120	25	2	second	second	ADJ
app01-8120	25	3	term	term	NOUN
app01-8120	25	4	in	in	ADP
app01-8120	25	5	equation	equation	NOUN
app01-8120	25	6	(	(	PUNCT
app01-8120	25	7	2	2	X
app01-8120	25	8	)	)	PUNCT
app01-8120	25	9	is	be	AUX
app01-8120	25	10	elastic	elastic	ADJ
app01-8120	25	11	potential	potential	NOUN
app01-8120	25	12	.	.	PUNCT
app01-8120	26	1	it	it	PRON
app01-8120	26	2	can	can	AUX
app01-8120	26	3	be	be	AUX
app01-8120	26	4	additively	additively	ADV
app01-8120	26	5	decomposed	decompose	VERB
app01-8120	26	6	on	on	ADP
app01-8120	26	7	part	part	NOUN
app01-8120	26	8	ψ+	ψ+	PUNCT
app01-8120	26	9	which	which	PRON
app01-8120	26	10	is	be	AUX
app01-8120	26	11	degraded	degrade	VERB
app01-8120	26	12	by	by	ADP
app01-8120	26	13	damage	damage	NOUN
app01-8120	26	14	through	through	ADP
app01-8120	26	15	function	function	NOUN
app01-8120	26	16	g(d	g(d	PROPN
app01-8120	26	17	)	)	PUNCT
app01-8120	26	18	and	and	CCONJ
app01-8120	26	19	intact	intact	ADJ
app01-8120	26	20	part	part	NOUN
app01-8120	26	21	ψ−	ψ−	VERB
app01-8120	26	22	,	,	PUNCT
app01-8120	26	23	i.e.	i.e.	X
app01-8120	26	24	ψe(u	ψe(u	NUM
app01-8120	26	25	,	,	PUNCT
app01-8120	26	26	d	d	NOUN
app01-8120	26	27	)	)	PUNCT
app01-8120	26	28	=	=	SYM
app01-8120	26	29	∫	∫	PROPN
app01-8120	26	30	ω	ω	PROPN
app01-8120	26	31	g(d)ψ+(u	g(d)ψ+(u	PUNCT
app01-8120	26	32	)	)	PUNCT
app01-8120	27	1	+	+	SYM
app01-8120	27	2	ψ−(u	ψ−(u	NOUN
app01-8120	27	3	)	)	PUNCT
app01-8120	27	4	dx	dx	PROPN
app01-8120	27	5	,	,	PUNCT
app01-8120	27	6	(	(	PUNCT
app01-8120	27	7	4	4	X
app01-8120	27	8	)	)	PUNCT
app01-8120	27	9	where	where	SCONJ
app01-8120	27	10	ψ•	ψ•	NOUN
app01-8120	27	11	represents	represent	VERB
app01-8120	27	12	elastic	elastic	ADJ
app01-8120	27	13	energy	energy	NOUN
app01-8120	27	14	density	density	NOUN
app01-8120	27	15	of	of	ADP
app01-8120	27	16	ψ•.	ψ•.	ADV
app01-8120	27	17	in	in	ADP
app01-8120	27	18	what	what	PRON
app01-8120	27	19	follows	follow	VERB
app01-8120	27	20	we	we	PRON
app01-8120	27	21	always	always	ADV
app01-8120	27	22	assume	assume	VERB
app01-8120	27	23	that	that	SCONJ
app01-8120	27	24	g(d	g(d	PROPN
app01-8120	27	25	)	)	PUNCT
app01-8120	27	26	=	=	PUNCT
app01-8120	27	27	(	(	PUNCT
app01-8120	27	28	1−	1−	NUM
app01-8120	27	29	d)2	d)2	PROPN
app01-8120	27	30	+	+	X
app01-8120	27	31	kres	kre	NOUN
app01-8120	27	32	,	,	PUNCT
app01-8120	27	33	where	where	SCONJ
app01-8120	27	34	kres	kres	PROPN
app01-8120	27	35	is	be	AUX
app01-8120	27	36	small	small	ADJ
app01-8120	27	37	(	(	PUNCT
app01-8120	27	38	kres	kre	NOUN
app01-8120	27	39	<	<	X
app01-8120	27	40	<	<	X
app01-8120	27	41	1	1	NUM
app01-8120	27	42	)	)	PUNCT
app01-8120	27	43	auxiliary	auxiliary	ADJ
app01-8120	27	44	residual	residual	ADJ
app01-8120	27	45	relative	relative	ADJ
app01-8120	27	46	stiffness	stiffness	NOUN
app01-8120	27	47	which	which	PRON
app01-8120	27	48	stabilizes	stabilize	VERB
app01-8120	27	49	the	the	DET
app01-8120	27	50	calculations	calculation	NOUN
app01-8120	27	51	.	.	PUNCT
app01-8120	28	1	the	the	DET
app01-8120	28	2	third	third	ADJ
app01-8120	28	3	part	part	NOUN
app01-8120	28	4	of	of	ADP
app01-8120	28	5	(	(	PUNCT
app01-8120	28	6	2	2	NUM
app01-8120	28	7	)	)	PUNCT
app01-8120	28	8	is	be	AUX
app01-8120	28	9	dissipated	dissipate	VERB
app01-8120	28	10	energy	energy	NOUN
app01-8120	28	11	ψs	ψs	NOUN
app01-8120	28	12	,	,	PUNCT
app01-8120	28	13	l	l	NOUN
app01-8120	28	14	which	which	PRON
app01-8120	28	15	is	be	AUX
app01-8120	28	16	approximated	approximate	VERB
app01-8120	28	17	by	by	ADP
app01-8120	28	18	following	follow	VERB
app01-8120	28	19	regularization	regularization	NOUN
app01-8120	28	20	ψs	ψs	NOUN
app01-8120	28	21	,	,	PUNCT
app01-8120	28	22	l	l	NOUN
app01-8120	28	23	=	=	PUNCT
app01-8120	28	24	gf	gf	NOUN
app01-8120	28	25	cα	cα	ADP
app01-8120	28	26	∫	∫	PROPN
app01-8120	28	27	ω	ω	NUM
app01-8120	28	28	α(d	α(d	PROPN
app01-8120	28	29	)	)	PUNCT
app01-8120	29	1	l	l	NOUN
app01-8120	30	1	+	+	CCONJ
app01-8120	30	2	l|∇d|2	l|∇d|2	NUM
app01-8120	30	3	dx	dx	PROPN
app01-8120	30	4	,	,	PUNCT
app01-8120	30	5	(	(	PUNCT
app01-8120	30	6	5	5	NUM
app01-8120	30	7	)	)	PUNCT
app01-8120	30	8	where	where	SCONJ
app01-8120	30	9	gf	gf	PROPN
app01-8120	30	10	is	be	AUX
app01-8120	30	11	the	the	DET
app01-8120	30	12	critical	critical	ADJ
app01-8120	30	13	energy	energy	NOUN
app01-8120	30	14	release	release	NOUN
app01-8120	30	15	rate	rate	NOUN
app01-8120	30	16	and	and	CCONJ
app01-8120	30	17	l	l	NOUN
app01-8120	30	18	is	be	AUX
app01-8120	30	19	length	length	NOUN
app01-8120	30	20	of	of	ADP
app01-8120	30	21	the	the	DET
app01-8120	30	22	process	process	NOUN
app01-8120	30	23	zone	zone	NOUN
app01-8120	30	24	.	.	PUNCT
app01-8120	31	1	for	for	ADP
app01-8120	31	2	brittle	brittle	ADJ
app01-8120	31	3	material	material	NOUN
app01-8120	31	4	,	,	PUNCT
app01-8120	31	5	l	l	NOUN
app01-8120	31	6	can	can	AUX
app01-8120	31	7	be	be	AUX
app01-8120	31	8	treated	treat	VERB
app01-8120	31	9	as	as	ADP
app01-8120	31	10	numerical	numerical	ADJ
app01-8120	31	11	parameter	parameter	NOUN
app01-8120	31	12	with	with	ADP
app01-8120	31	13	value	value	NOUN
app01-8120	31	14	as	as	ADP
app01-8120	31	15	98	98	NUM
app01-8120	31	16	https://doi.org/10.14311/app.2022.34.0098	https://doi.org/10.14311/app.2022.34.0098	NUM
app01-8120	31	17	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
app01-8120	31	18	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
app01-8120	31	19	vol	vol	NOUN
app01-8120	31	20	.	.	PUNCT
app01-8120	32	1	34/2022	34/2022	NUM
app01-8120	32	2	phase	phase	NOUN
app01-8120	32	3	-	-	PUNCT
app01-8120	32	4	field	field	NOUN
app01-8120	32	5	damage	damage	NOUN
app01-8120	32	6	of	of	ADP
app01-8120	32	7	laminated	laminated	ADJ
app01-8120	32	8	glass	glass	NOUN
app01-8120	32	9	in	in	ADP
app01-8120	32	10	explicit	explicit	ADJ
app01-8120	32	11	dynamics	dynamic	NOUN
app01-8120	32	12	small	small	ADJ
app01-8120	32	13	as	as	ADP
app01-8120	32	14	possible	possible	ADJ
app01-8120	32	15	,	,	PUNCT
app01-8120	32	16	but	but	CCONJ
app01-8120	32	17	not	not	PART
app01-8120	32	18	smaller	small	ADJ
app01-8120	32	19	than	than	ADP
app01-8120	32	20	element	element	ADJ
app01-8120	32	21	size	size	NOUN
app01-8120	32	22	.	.	PUNCT
app01-8120	33	1	the	the	DET
app01-8120	33	2	function	function	NOUN
app01-8120	33	3	α	α	NOUN
app01-8120	33	4	and	and	CCONJ
app01-8120	33	5	associated	associated	ADJ
app01-8120	33	6	coefficient	coefficient	NOUN
app01-8120	33	7	cα	cα	AUX
app01-8120	33	8	drives	drive	VERB
app01-8120	33	9	the	the	DET
app01-8120	33	10	phase	phase	NOUN
app01-8120	33	11	-	-	PUNCT
app01-8120	33	12	field	field	NOUN
app01-8120	33	13	model	model	NOUN
app01-8120	33	14	type	type	NOUN
app01-8120	33	15	.	.	PUNCT
app01-8120	34	1	two	two	NUM
app01-8120	34	2	common	common	ADJ
app01-8120	34	3	options	option	NOUN
app01-8120	34	4	are	be	AUX
app01-8120	34	5	commonly	commonly	ADV
app01-8120	34	6	used	use	VERB
app01-8120	34	7	in	in	ADP
app01-8120	34	8	literature	literature	NOUN
app01-8120	34	9	:	:	PUNCT
app01-8120	34	10	α	α	X
app01-8120	35	1	=	=	SYM
app01-8120	35	2	d	d	NOUN
app01-8120	35	3	with	with	ADP
app01-8120	35	4	cα	cα	NOUN
app01-8120	35	5	=	=	NOUN
app01-8120	35	6	8/3	8/3	NUM
app01-8120	35	7	and	and	CCONJ
app01-8120	35	8	α	α	NOUN
app01-8120	35	9	=	=	SYM
app01-8120	35	10	d2	d2	PROPN
app01-8120	35	11	with	with	ADP
app01-8120	35	12	cα	cα	NOUN
app01-8120	35	13	=	=	SYM
app01-8120	35	14	2	2	NUM
app01-8120	35	15	however	however	ADV
app01-8120	35	16	we	we	PRON
app01-8120	35	17	restrict	restrict	VERB
app01-8120	35	18	to	to	ADP
app01-8120	35	19	the	the	DET
app01-8120	35	20	first	first	ADJ
app01-8120	35	21	one	one	NUM
app01-8120	35	22	.	.	PUNCT
app01-8120	36	1	finally	finally	ADV
app01-8120	36	2	,	,	PUNCT
app01-8120	36	3	the	the	DET
app01-8120	36	4	last	last	ADJ
app01-8120	36	5	ingredient	ingredient	NOUN
app01-8120	36	6	is	be	AUX
app01-8120	36	7	external	external	ADJ
app01-8120	36	8	work	work	NOUN
app01-8120	36	9	of	of	ADP
app01-8120	36	10	traction	traction	NOUN
app01-8120	36	11	forces	force	NOUN
app01-8120	36	12	t	t	PROPN
app01-8120	36	13	defined	define	VERB
app01-8120	36	14	as	as	ADP
app01-8120	36	15	p(u	p(u	NOUN
app01-8120	36	16	)	)	PUNCT
app01-8120	37	1	=	=	SYM
app01-8120	37	2	∫	∫	PROPN
app01-8120	37	3	ωt	ωt	ADP
app01-8120	37	4	t	t	PROPN
app01-8120	37	5	·	·	PUNCT
app01-8120	37	6	udx	udx	NOUN
app01-8120	37	7	.	.	PUNCT
app01-8120	38	1	(	(	PUNCT
app01-8120	38	2	6	6	NUM
app01-8120	38	3	)	)	PUNCT
app01-8120	38	4	minimization	minimization	NOUN
app01-8120	38	5	of	of	ADP
app01-8120	38	6	the	the	DET
app01-8120	38	7	action	action	NOUN
app01-8120	38	8	integral	integral	ADJ
app01-8120	38	9	(	(	PUNCT
app01-8120	38	10	1	1	NUM
app01-8120	38	11	)	)	PUNCT
app01-8120	38	12	with	with	ADP
app01-8120	38	13	additional	additional	ADJ
app01-8120	38	14	per	per	ADP
app01-8120	38	15	partes	parte	NOUN
app01-8120	38	16	integration	integration	NOUN
app01-8120	38	17	leads	lead	VERB
app01-8120	38	18	to	to	ADP
app01-8120	38	19	common	common	ADJ
app01-8120	38	20	continous	continous	ADJ
app01-8120	38	21	governing	govern	VERB
app01-8120	38	22	equations	equation	NOUN
app01-8120	38	23	for	for	ADP
app01-8120	38	24	displacement	displacement	ADJ
app01-8120	38	25	field	field	NOUN
app01-8120	38	26	div	div	X
app01-8120	38	27	(	(	PUNCT
app01-8120	38	28	g(d)∂ψ	g(d)∂ψ	X
app01-8120	39	1	+	+	NUM
app01-8120	39	2	∂u	∂u	NOUN
app01-8120	39	3	+	+	CCONJ
app01-8120	39	4	∂ψ−	∂ψ−	PROPN
app01-8120	39	5	∂u	∂u	NUM
app01-8120	39	6	)	)	PUNCT
app01-8120	39	7	=	=	SYM
app01-8120	39	8	ρü	ρü	X
app01-8120	39	9	(	(	PUNCT
app01-8120	39	10	7	7	X
app01-8120	39	11	)	)	PUNCT
app01-8120	39	12	supplemented	supplement	VERB
app01-8120	39	13	by	by	ADP
app01-8120	39	14	damage	damage	NOUN
app01-8120	39	15	-	-	PUNCT
app01-8120	39	16	evolution	evolution	NOUN
app01-8120	39	17	inequality	inequality	NOUN
app01-8120	39	18	gf	gf	X
app01-8120	39	19	cα	cα	ADP
app01-8120	39	20	(	(	PUNCT
app01-8120	39	21	α′(d	α′(d	NOUN
app01-8120	39	22	)	)	PUNCT
app01-8120	39	23	l	l	NOUN
app01-8120	39	24	−	−	NOUN
app01-8120	39	25	2l∆d	2l∆d	NUM
app01-8120	39	26	)	)	PUNCT
app01-8120	39	27	=	=	PUNCT
app01-8120	39	28	−g′(d)ψ+	−g′(d)ψ+	PROPN
app01-8120	39	29	,	,	PUNCT
app01-8120	39	30	ḋ	ḋ	X
app01-8120	39	31	>	>	X
app01-8120	39	32	0	0	PUNCT
app01-8120	40	1	(	(	PUNCT
app01-8120	40	2	8)	8)	NUM
app01-8120	40	3	gf	gf	NOUN
app01-8120	40	4	cα	cα	ADP
app01-8120	40	5	(	(	PUNCT
app01-8120	40	6	α′(d	α′(d	NOUN
app01-8120	40	7	)	)	PUNCT
app01-8120	40	8	l	l	NOUN
app01-8120	40	9	−	−	NOUN
app01-8120	40	10	2l∆d	2l∆d	NUM
app01-8120	40	11	)	)	PUNCT
app01-8120	40	12	>	>	PUNCT
app01-8120	41	1	−g′(d)ψ+	−g′(d)ψ+	PROPN
app01-8120	41	2	,	,	PUNCT
app01-8120	41	3	ḋ	ḋ	PROPN
app01-8120	41	4	=	=	SYM
app01-8120	41	5	0	0	PUNCT
app01-8120	41	6	(	(	PUNCT
app01-8120	41	7	9	9	NUM
app01-8120	41	8	)	)	PUNCT
app01-8120	41	9	and	and	CCONJ
app01-8120	41	10	approriate	approriate	VERB
app01-8120	41	11	boundary	boundary	ADJ
app01-8120	41	12	conditions	condition	NOUN
app01-8120	41	13	.	.	PUNCT
app01-8120	42	1	strong	strong	ADJ
app01-8120	42	2	-	-	PUNCT
app01-8120	42	3	form	form	NOUN
app01-8120	42	4	equations	equation	NOUN
app01-8120	42	5	(	(	PUNCT
app01-8120	42	6	7)-(9	7)-(9	NOUN
app01-8120	42	7	)	)	PUNCT
app01-8120	42	8	have	have	VERB
app01-8120	42	9	a	a	DET
app01-8120	42	10	generally	generally	ADV
app01-8120	42	11	unknown	unknown	ADJ
app01-8120	42	12	solution	solution	NOUN
app01-8120	42	13	,	,	PUNCT
app01-8120	42	14	therefore	therefore	ADV
app01-8120	42	15	some	some	DET
app01-8120	42	16	numerical	numerical	ADJ
app01-8120	42	17	method	method	NOUN
app01-8120	42	18	must	must	AUX
app01-8120	42	19	be	be	AUX
app01-8120	42	20	used	use	VERB
app01-8120	42	21	.	.	PUNCT
app01-8120	43	1	2.1	2.1	NUM
app01-8120	43	2	.	.	PUNCT
app01-8120	43	3	plate	plate	NOUN
app01-8120	43	4	models	model	NOUN
app01-8120	43	5	the	the	DET
app01-8120	43	6	model	model	NOUN
app01-8120	43	7	and	and	CCONJ
app01-8120	43	8	its	its	PRON
app01-8120	43	9	properties	property	NOUN
app01-8120	43	10	are	be	AUX
app01-8120	43	11	determined	determine	VERB
app01-8120	43	12	by	by	ADP
app01-8120	43	13	the	the	DET
app01-8120	43	14	choice	choice	NOUN
app01-8120	43	15	of	of	ADP
app01-8120	43	16	dissipation	dissipation	NOUN
app01-8120	43	17	function	function	VERB
app01-8120	43	18	α(d	α(d	PROPN
app01-8120	43	19	)	)	PUNCT
app01-8120	43	20	,	,	PUNCT
app01-8120	43	21	degradation	degradation	NOUN
app01-8120	43	22	function	function	NOUN
app01-8120	43	23	g(d	g(d	PROPN
app01-8120	43	24	)	)	PUNCT
app01-8120	43	25	and	and	CCONJ
app01-8120	43	26	by	by	ADP
app01-8120	43	27	active	active	ADJ
app01-8120	43	28	/	/	SYM
app01-8120	43	29	passive	passive	ADJ
app01-8120	43	30	elastic	elastic	ADJ
app01-8120	43	31	energy	energy	NOUN
app01-8120	43	32	densities	density	NOUN
app01-8120	43	33	ψ±.	ψ±.	PUNCT
app01-8120	43	34	four	four	NUM
app01-8120	43	35	common	common	ADJ
app01-8120	43	36	choices	choice	NOUN
app01-8120	43	37	for	for	ADP
app01-8120	43	38	the	the	DET
app01-8120	43	39	latter	latter	ADJ
app01-8120	43	40	one	one	NOUN
app01-8120	43	41	are	be	AUX
app01-8120	43	42	presented	present	VERB
app01-8120	43	43	in	in	ADP
app01-8120	43	44	this	this	DET
app01-8120	43	45	subsection	subsection	NOUN
app01-8120	43	46	.	.	PUNCT
app01-8120	44	1	despite	despite	SCONJ
app01-8120	44	2	the	the	DET
app01-8120	44	3	fact	fact	NOUN
app01-8120	44	4	that	that	SCONJ
app01-8120	44	5	we	we	PRON
app01-8120	44	6	restrict	restrict	VERB
app01-8120	44	7	our	our	PRON
app01-8120	44	8	attention	attention	NOUN
app01-8120	44	9	to	to	AUX
app01-8120	44	10	model	model	VERB
app01-8120	44	11	p	p	NOUN
app01-8120	44	12	-	-	PUNCT
app01-8120	44	13	vd	vd	NOUN
app01-8120	44	14	,	,	PUNCT
app01-8120	44	15	others	other	NOUN
app01-8120	44	16	are	be	AUX
app01-8120	44	17	presented	present	VERB
app01-8120	44	18	.	.	PUNCT
app01-8120	45	1	this	this	PRON
app01-8120	45	2	is	be	AUX
app01-8120	45	3	because	because	SCONJ
app01-8120	45	4	we	we	PRON
app01-8120	45	5	intend	intend	VERB
app01-8120	45	6	to	to	PART
app01-8120	45	7	investigate	investigate	VERB
app01-8120	45	8	them	they	PRON
app01-8120	45	9	in	in	ADP
app01-8120	45	10	the	the	DET
app01-8120	45	11	future	future	ADJ
app01-8120	45	12	research	research	NOUN
app01-8120	45	13	.	.	PUNCT
app01-8120	46	1	3d	3d	NUM
app01-8120	46	2	spectral	spectral	ADJ
app01-8120	46	3	decomposition	decomposition	NOUN
app01-8120	46	4	it	it	PRON
app01-8120	46	5	is	be	AUX
app01-8120	46	6	assumed	assume	VERB
app01-8120	46	7	that	that	SCONJ
app01-8120	46	8	material	material	NOUN
app01-8120	46	9	behaves	behave	VERB
app01-8120	46	10	linearly	linearly	ADV
app01-8120	46	11	elastically	elastically	ADV
app01-8120	46	12	in	in	ADP
app01-8120	46	13	pre	pre	ADJ
app01-8120	46	14	-	-	ADJ
app01-8120	46	15	breakage	breakage	NOUN
app01-8120	46	16	stage	stage	NOUN
app01-8120	46	17	,	,	PUNCT
app01-8120	46	18	therefore	therefore	ADV
app01-8120	46	19	it	it	PRON
app01-8120	46	20	can	can	AUX
app01-8120	46	21	be	be	AUX
app01-8120	46	22	described	describe	VERB
app01-8120	46	23	by	by	ADP
app01-8120	46	24	two	two	NUM
app01-8120	46	25	independent	independent	ADJ
app01-8120	46	26	lame	lame	NOUN
app01-8120	46	27	’s	’s	PART
app01-8120	46	28	coefficients	coefficient	NOUN
app01-8120	46	29	λ	λ	PROPN
app01-8120	46	30	and	and	CCONJ
app01-8120	46	31	ν	ν	X
app01-8120	46	32	.	.	PUNCT
app01-8120	47	1	since	since	SCONJ
app01-8120	47	2	the	the	DET
app01-8120	47	3	damage	damage	NOUN
app01-8120	47	4	variable	variable	NOUN
app01-8120	47	5	starts	start	VERB
app01-8120	47	6	evolving	evolve	VERB
app01-8120	47	7	,	,	PUNCT
app01-8120	47	8	the	the	DET
app01-8120	47	9	only	only	ADJ
app01-8120	47	10	positive	positive	ADJ
app01-8120	47	11	part	part	NOUN
app01-8120	47	12	of	of	ADP
app01-8120	47	13	energy	energy	NOUN
app01-8120	47	14	must	must	AUX
app01-8120	47	15	be	be	AUX
app01-8120	47	16	degraded	degrade	VERB
app01-8120	47	17	,	,	PUNCT
app01-8120	47	18	therefore	therefore	ADV
app01-8120	47	19	ψ±(u	ψ±(u	X
app01-8120	47	20	)	)	PUNCT
app01-8120	48	1	=	=	PUNCT
app01-8120	48	2	1	1	NUM
app01-8120	48	3	2λ〈±tr(ε)〉2	2λ〈±tr(ε)〉2	NUM
app01-8120	49	1	+	+	CCONJ
app01-8120	49	2	µε±	µε±	NOUN
app01-8120	49	3	:	:	PUNCT
app01-8120	50	1	ε±	ε±	PROPN
app01-8120	50	2	,	,	PUNCT
app01-8120	50	3	(	(	PUNCT
app01-8120	50	4	10	10	NUM
app01-8120	50	5	)	)	PUNCT
app01-8120	50	6	where	where	SCONJ
app01-8120	50	7	ε	ε	PROPN
app01-8120	50	8	is	be	AUX
app01-8120	50	9	conventional	conventional	ADJ
app01-8120	50	10	strain	strain	NOUN
app01-8120	50	11	tensor	tensor	NOUN
app01-8120	50	12	defined	define	VERB
app01-8120	50	13	as	as	ADP
app01-8120	50	14	symmetric	symmetric	ADJ
app01-8120	50	15	part	part	NOUN
app01-8120	50	16	of	of	ADP
app01-8120	50	17	displacement	displacement	ADJ
app01-8120	50	18	field	field	NOUN
app01-8120	50	19	gradient	gradient	NOUN
app01-8120	50	20	ε	ε	PROPN
app01-8120	50	21	=	=	SYM
app01-8120	50	22	∇su	∇su	PROPN
app01-8120	50	23	.	.	PUNCT
app01-8120	51	1	positive	positive	ADJ
app01-8120	51	2	and	and	CCONJ
app01-8120	51	3	negative	negative	ADJ
app01-8120	51	4	component	component	NOUN
app01-8120	51	5	of	of	ADP
app01-8120	51	6	strain	strain	NOUN
app01-8120	51	7	tensor	tensor	NOUN
app01-8120	51	8	follows	follow	VERB
app01-8120	51	9	from	from	ADP
app01-8120	51	10	the	the	DET
app01-8120	51	11	principal	principal	NOUN
app01-8120	51	12	strains	strain	NOUN
app01-8120	51	13	εi	εi	ADJ
app01-8120	51	14	and	and	CCONJ
app01-8120	51	15	the	the	DET
app01-8120	51	16	dyadic	dyadic	ADJ
app01-8120	51	17	product	product	NOUN
app01-8120	51	18	of	of	ADP
app01-8120	51	19	eigenvectors	eigenvector	NOUN
app01-8120	51	20	pi	pi	ADV
app01-8120	51	21	of	of	ADP
app01-8120	51	22	ε	ε	PROPN
app01-8120	51	23	,	,	PUNCT
app01-8120	51	24	thus	thus	ADV
app01-8120	51	25	ε±	ε±	PROPN
app01-8120	52	1	=	=	PUNCT
app01-8120	52	2	∑	∑	PROPN
app01-8120	52	3	i	i	PRON
app01-8120	52	4	±〈±εi〉pi	±〈±εi〉pi	VERB
app01-8120	52	5	⊗	⊗	PROPN
app01-8120	52	6	pi	pi	NOUN
app01-8120	52	7	.	.	PUNCT
app01-8120	53	1	(	(	PUNCT
app01-8120	53	2	11	11	NUM
app01-8120	53	3	)	)	PUNCT
app01-8120	53	4	we	we	PRON
app01-8120	53	5	denote	denote	VERB
app01-8120	53	6	this	this	DET
app01-8120	53	7	model	model	NOUN
app01-8120	53	8	as	as	ADP
app01-8120	53	9	3d−	3d−	PROPN
app01-8120	53	10	sd	sd	ADP
app01-8120	53	11	3d	3d	NUM
app01-8120	53	12	volumetric	volumetric	NOUN
app01-8120	53	13	decomposition	decomposition	NOUN
app01-8120	53	14	the	the	DET
app01-8120	53	15	second	second	ADJ
app01-8120	53	16	common	common	ADJ
app01-8120	53	17	choice	choice	NOUN
app01-8120	53	18	of	of	ADP
app01-8120	53	19	decomposition	decomposition	NOUN
app01-8120	53	20	is	be	AUX
app01-8120	53	21	volumetric	volumetric	NOUN
app01-8120	53	22	-	-	PUNCT
app01-8120	53	23	deviatoric	deviatoric	NOUN
app01-8120	53	24	split	split	NOUN
app01-8120	53	25	,	,	PUNCT
app01-8120	53	26	which	which	PRON
app01-8120	53	27	assumes	assume	VERB
app01-8120	53	28	that	that	SCONJ
app01-8120	53	29	only	only	ADV
app01-8120	53	30	compression	compression	VERB
app01-8120	53	31	part	part	NOUN
app01-8120	53	32	of	of	ADP
app01-8120	53	33	volumetric	volumetric	ADJ
app01-8120	53	34	strain	strain	NOUN
app01-8120	53	35	component	component	NOUN
app01-8120	53	36	remains	remain	VERB
app01-8120	53	37	intact	intact	ADJ
app01-8120	53	38	,	,	PUNCT
app01-8120	53	39	thus	thus	ADV
app01-8120	53	40	ψ+(u	ψ+(u	ADJ
app01-8120	53	41	)	)	PUNCT
app01-8120	53	42	=	=	SYM
app01-8120	53	43	1	1	NUM
app01-8120	53	44	2k〈tr(ε	2k〈tr(ε	NUM
app01-8120	53	45	)	)	PUNCT
app01-8120	53	46	〉	〉	NOUN
app01-8120	53	47	2	2	NUM
app01-8120	54	1	+	+	CCONJ
app01-8120	54	2	µεd	µεd	NOUN
app01-8120	54	3	:	:	PUNCT
app01-8120	54	4	εd	εd	ADP
app01-8120	54	5	(	(	PUNCT
app01-8120	54	6	12	12	NUM
app01-8120	54	7	)	)	PUNCT
app01-8120	54	8	ψ−(u	ψ−(u	NOUN
app01-8120	54	9	)	)	PUNCT
app01-8120	54	10	=	=	SYM
app01-8120	54	11	1	1	NUM
app01-8120	54	12	2k〈−tr(ε)〉2	2k〈−tr(ε)〉2	NUM
app01-8120	54	13	,	,	PUNCT
app01-8120	54	14	(	(	PUNCT
app01-8120	54	15	13	13	NUM
app01-8120	54	16	)	)	PUNCT
app01-8120	54	17	where	where	SCONJ
app01-8120	54	18	k	k	PROPN
app01-8120	54	19	stands	stand	VERB
app01-8120	54	20	for	for	ADP
app01-8120	54	21	bulk	bulk	ADJ
app01-8120	54	22	modolus	modolus	NOUN
app01-8120	54	23	and	and	CCONJ
app01-8120	54	24	εd	εd	NOUN
app01-8120	54	25	is	be	AUX
app01-8120	54	26	deviatoric	deviatoric	ADJ
app01-8120	54	27	part	part	NOUN
app01-8120	54	28	of	of	ADP
app01-8120	54	29	strain	strain	NOUN
app01-8120	54	30	ε	ε	PROPN
app01-8120	54	31	.	.	PUNCT
app01-8120	55	1	this	this	DET
app01-8120	55	2	model	model	NOUN
app01-8120	55	3	is	be	AUX
app01-8120	55	4	denoted	denote	VERB
app01-8120	55	5	as	as	ADP
app01-8120	55	6	3d−vd	3d−vd	PROPN
app01-8120	55	7	.	.	PUNCT
app01-8120	56	1	mindlin	mindlin	NOUN
app01-8120	56	2	-	-	PUNCT
app01-8120	56	3	reissner	reissner	NOUN
app01-8120	56	4	plate	plate	NOUN
app01-8120	56	5	besides	besides	SCONJ
app01-8120	56	6	full	full	ADJ
app01-8120	56	7	3d	3d	PROPN
app01-8120	56	8	model	model	NOUN
app01-8120	56	9	,	,	PUNCT
app01-8120	56	10	we	we	PRON
app01-8120	56	11	investigate	investigate	VERB
app01-8120	56	12	the	the	DET
app01-8120	56	13	spatialy	spatialy	NOUN
app01-8120	56	14	reduced	reduce	VERB
app01-8120	56	15	mindlin	mindlin	NOUN
app01-8120	56	16	-	-	PUNCT
app01-8120	56	17	reissner	reissner	NOUN
app01-8120	56	18	plate	plate	NOUN
app01-8120	56	19	model	model	NOUN
app01-8120	56	20	.	.	PUNCT
app01-8120	57	1	this	this	DET
app01-8120	57	2	model	model	NOUN
app01-8120	57	3	assumes	assume	VERB
app01-8120	57	4	linearly	linearly	ADV
app01-8120	57	5	distibuted	distibute	VERB
app01-8120	57	6	strain	strain	NOUN
app01-8120	57	7	and	and	CCONJ
app01-8120	57	8	stress	stress	NOUN
app01-8120	57	9	field	field	NOUN
app01-8120	57	10	across	across	ADP
app01-8120	57	11	thickness	thickness	NOUN
app01-8120	57	12	and	and	CCONJ
app01-8120	57	13	kinematics	kinematic	NOUN
app01-8120	57	14	is	be	AUX
app01-8120	57	15	driven	drive	VERB
app01-8120	57	16	by	by	ADP
app01-8120	57	17	middle	middle	ADJ
app01-8120	57	18	-	-	PUNCT
app01-8120	57	19	surface	surface	NOUN
app01-8120	57	20	longitudinal	longitudinal	ADJ
app01-8120	57	21	displacement	displacement	ADJ
app01-8120	57	22	field	field	NOUN
app01-8120	57	23	u	u	NOUN
app01-8120	57	24	,	,	PUNCT
app01-8120	57	25	out	out	ADV
app01-8120	57	26	-	-	PUNCT
app01-8120	57	27	of	of	ADP
app01-8120	57	28	-	-	PUNCT
app01-8120	57	29	plane	plane	NOUN
app01-8120	57	30	scalar	scalar	ADJ
app01-8120	57	31	deflection	deflection	NOUN
app01-8120	57	32	w	w	NOUN
app01-8120	57	33	and	and	CCONJ
app01-8120	57	34	vectorial	vectorial	ADJ
app01-8120	57	35	tensor	tensor	NOUN
app01-8120	57	36	of	of	ADP
app01-8120	57	37	cross	cross	NOUN
app01-8120	57	38	-	-	NOUN
app01-8120	57	39	section	section	NOUN
app01-8120	57	40	rotations	rotation	NOUN
app01-8120	57	41	ϕ.	ϕ.	PROPN
app01-8120	57	42	based	base	VERB
app01-8120	57	43	on	on	ADP
app01-8120	57	44	the	the	DET
app01-8120	57	45	linearity	linearity	NOUN
app01-8120	57	46	assumption	assumption	NOUN
app01-8120	57	47	the	the	DET
app01-8120	57	48	longitudinal	longitudinal	ADJ
app01-8120	57	49	strain	strain	NOUN
app01-8120	57	50	ε	ε	PROPN
app01-8120	57	51	and	and	CCONJ
app01-8120	57	52	shear	shear	NOUN
app01-8120	57	53	strain	strain	NOUN
app01-8120	57	54	γ	γ	PROPN
app01-8120	57	55	can	can	AUX
app01-8120	57	56	be	be	AUX
app01-8120	57	57	established	establish	VERB
app01-8120	57	58	as	as	ADP
app01-8120	57	59	ε(xs	ε(x	NOUN
app01-8120	57	60	,	,	PUNCT
app01-8120	57	61	z	z	NOUN
app01-8120	57	62	)	)	PUNCT
app01-8120	57	63	=	=	SYM
app01-8120	57	64	∇su(xs	∇su(xs	PROPN
app01-8120	57	65	)	)	PUNCT
app01-8120	57	66	+	+	NOUN
app01-8120	57	67	∇ssϕ(xs)z	∇ssϕ(xs)z	X
app01-8120	57	68	,	,	PUNCT
app01-8120	57	69	(	(	PUNCT
app01-8120	57	70	14	14	NUM
app01-8120	57	71	)	)	PUNCT
app01-8120	57	72	γ(xs	γ(x	NOUN
app01-8120	57	73	)	)	PUNCT
app01-8120	57	74	=	=	SYM
app01-8120	57	75	1	1	NUM
app01-8120	57	76	2	2	NUM
app01-8120	57	77	(	(	PUNCT
app01-8120	57	78	∇w(xs	∇w(xs	X
app01-8120	57	79	)	)	PUNCT
app01-8120	57	80	+	+	NUM
app01-8120	57	81	sϕ(xs	sϕ(x	NOUN
app01-8120	57	82	)	)	PUNCT
app01-8120	57	83	)	)	PUNCT
app01-8120	57	84	,	,	PUNCT
app01-8120	57	85	(	(	PUNCT
app01-8120	57	86	15	15	NUM
app01-8120	57	87	)	)	PUNCT
app01-8120	57	88	where	where	SCONJ
app01-8120	57	89	z	z	NOUN
app01-8120	57	90	is	be	AUX
app01-8120	57	91	out	out	ADV
app01-8120	57	92	-	-	PUNCT
app01-8120	57	93	of	of	ADP
app01-8120	57	94	-	-	PUNCT
app01-8120	57	95	plane	plane	NOUN
app01-8120	57	96	coordinate	coordinate	NOUN
app01-8120	57	97	meanwhile	meanwhile	ADV
app01-8120	57	98	xs	xs	PROPN
app01-8120	57	99	=	=	PUNCT
app01-8120	57	100	{	{	PUNCT
app01-8120	57	101	x	x	PROPN
app01-8120	57	102	,	,	PUNCT
app01-8120	57	103	y	y	NOUN
app01-8120	57	104	}	}	PUNCT
app01-8120	57	105	is	be	AUX
app01-8120	57	106	in	in	ADP
app01-8120	57	107	-	-	PUNCT
app01-8120	57	108	plane	plane	NOUN
app01-8120	57	109	coordinate	coordinate	NOUN
app01-8120	57	110	system	system	NOUN
app01-8120	57	111	of	of	ADP
app01-8120	57	112	middle	middle	ADJ
app01-8120	57	113	-	-	PUNCT
app01-8120	57	114	surface	surface	NOUN
app01-8120	57	115	ωs	ω	NOUN
app01-8120	57	116	.	.	PUNCT
app01-8120	58	1	the	the	DET
app01-8120	58	2	s	s	NOUN
app01-8120	58	3	is	be	AUX
app01-8120	58	4	auxiliary	auxiliary	ADJ
app01-8120	58	5	matrix	matrix	NOUN
app01-8120	58	6	s	s	PART
app01-8120	58	7	=	=	X
app01-8120	58	8	[	[	PUNCT
app01-8120	58	9	0	0	NUM
app01-8120	58	10	1	1	NUM
app01-8120	58	11	−1	−1	NOUN
app01-8120	58	12	1	1	NUM
app01-8120	58	13	]	]	PUNCT
app01-8120	58	14	.	.	PUNCT
app01-8120	59	1	(	(	PUNCT
app01-8120	59	2	16	16	NUM
app01-8120	59	3	)	)	PUNCT
app01-8120	59	4	mindlin	mindlin	NOUN
app01-8120	59	5	-	-	PUNCT
app01-8120	59	6	reissner	reissner	NOUN
app01-8120	59	7	plate	plate	NOUN
app01-8120	59	8	model	model	NOUN
app01-8120	59	9	ignores	ignore	VERB
app01-8120	59	10	normal	normal	ADJ
app01-8120	59	11	stress	stress	NOUN
app01-8120	59	12	across	across	ADP
app01-8120	59	13	thickness	thickness	NOUN
app01-8120	59	14	,	,	PUNCT
app01-8120	59	15	therefore	therefore	ADV
app01-8120	59	16	in	in	SCONJ
app01-8120	59	17	each	each	DET
app01-8120	59	18	infinitesimal	infinitesimal	ADJ
app01-8120	59	19	layer	layer	NOUN
app01-8120	59	20	plane	plane	NOUN
app01-8120	59	21	-	-	PUNCT
app01-8120	59	22	stress	stress	NOUN
app01-8120	59	23	situation	situation	NOUN
app01-8120	59	24	occurs	occur	VERB
app01-8120	59	25	.	.	PUNCT
app01-8120	60	1	therefore	therefore	ADV
app01-8120	60	2	stress	stress	NOUN
app01-8120	60	3	fields	field	NOUN
app01-8120	60	4	are	be	AUX
app01-8120	60	5	defined	define	VERB
app01-8120	60	6	as	as	ADP
app01-8120	60	7	σ(ε	σ(ε	NOUN
app01-8120	60	8	)	)	PUNCT
app01-8120	60	9	=	=	SYM
app01-8120	60	10	dps	dps	NOUN
app01-8120	60	11	:	:	PUNCT
app01-8120	61	1	ε	ε	PROPN
app01-8120	61	2	,	,	PUNCT
app01-8120	61	3	(	(	PUNCT
app01-8120	61	4	17	17	NUM
app01-8120	61	5	)	)	PUNCT
app01-8120	61	6	τ	τ	PROPN
app01-8120	61	7	(	(	PUNCT
app01-8120	61	8	γ	γ	NOUN
app01-8120	61	9	)	)	PUNCT
app01-8120	61	10	=	=	SYM
app01-8120	61	11	2νi	2νi	NOUN
app01-8120	61	12	:	:	PUNCT
app01-8120	61	13	γ	γ	X
app01-8120	61	14	,	,	PUNCT
app01-8120	61	15	(	(	PUNCT
app01-8120	61	16	18	18	NUM
app01-8120	61	17	)	)	PUNCT
app01-8120	61	18	where	where	SCONJ
app01-8120	61	19	dps	dps	NOUN
app01-8120	61	20	is	be	AUX
app01-8120	61	21	plane	plane	NOUN
app01-8120	61	22	-	-	PUNCT
app01-8120	61	23	stress	stress	NOUN
app01-8120	61	24	elastic	elastic	ADJ
app01-8120	61	25	tensor	tensor	NOUN
app01-8120	61	26	defined	define	VERB
app01-8120	61	27	again	again	ADV
app01-8120	61	28	through	through	ADP
app01-8120	61	29	lame	lame	PROPN
app01-8120	61	30	’s	’s	PART
app01-8120	61	31	coefficients	coefficient	NOUN
app01-8120	61	32	λ	λ	PROPN
app01-8120	61	33	and	and	CCONJ
app01-8120	61	34	ν	ν	NOUN
app01-8120	61	35	and	and	CCONJ
app01-8120	61	36	i	i	PRON
app01-8120	61	37	is	be	AUX
app01-8120	61	38	identity	identity	NOUN
app01-8120	61	39	tensor	tensor	NOUN
app01-8120	61	40	.	.	PUNCT
app01-8120	62	1	the	the	DET
app01-8120	62	2	last	last	ADJ
app01-8120	62	3	ingredient	ingredient	NOUN
app01-8120	62	4	is	be	AUX
app01-8120	62	5	thickness	thickness	NOUN
app01-8120	62	6	integration	integration	NOUN
app01-8120	62	7	for	for	ADP
app01-8120	62	8	spatial	spatial	ADJ
app01-8120	62	9	reduction	reduction	NOUN
app01-8120	62	10	.	.	PUNCT
app01-8120	63	1	it	it	PRON
app01-8120	63	2	is	be	AUX
app01-8120	63	3	impossible	impossible	ADJ
app01-8120	63	4	to	to	PART
app01-8120	63	5	perform	perform	VERB
app01-8120	63	6	it	it	PRON
app01-8120	63	7	in	in	ADP
app01-8120	63	8	closed	closed	ADJ
app01-8120	63	9	form	form	NOUN
app01-8120	63	10	therefore	therefore	ADV
app01-8120	63	11	numerical	numerical	ADJ
app01-8120	63	12	integration	integration	NOUN
app01-8120	63	13	is	be	AUX
app01-8120	63	14	employed	employ	VERB
app01-8120	63	15	and	and	CCONJ
app01-8120	63	16	active	active	ADJ
app01-8120	63	17	/	/	SYM
app01-8120	63	18	pasive	pasive	ADJ
app01-8120	63	19	elastic	elastic	ADJ
app01-8120	63	20	energy	energy	NOUN
app01-8120	63	21	become	become	VERB
app01-8120	63	22	ψ+	ψ+	VERB
app01-8120	63	23	=	=	SYM
app01-8120	63	24	1	1	NUM
app01-8120	63	25	2	2	NUM
app01-8120	63	26	∫	∫	NOUN
app01-8120	63	27	ωs	ωs	X
app01-8120	63	28	g(d	g(d	PROPN
app01-8120	63	29	)	)	PUNCT
app01-8120	63	30	(	(	PUNCT
app01-8120	63	31	∑	∑	PUNCT
app01-8120	63	32	i	i	PRON
app01-8120	63	33	∆ziεi	∆ziεi	VERB
app01-8120	63	34	:	:	PUNCT
app01-8120	63	35	σ+	σ+	PUNCT
app01-8120	64	1	i	i	X
app01-8120	64	2	+	+	CCONJ
app01-8120	64	3	ξhγ	ξhγ	X
app01-8120	64	4	·	·	PUNCT
app01-8120	64	5	τ	τ	X
app01-8120	64	6	)	)	PUNCT
app01-8120	64	7	dxs	dxs	PROPN
app01-8120	64	8	,	,	PUNCT
app01-8120	64	9	(	(	PUNCT
app01-8120	64	10	19	19	NUM
app01-8120	64	11	)	)	PUNCT
app01-8120	64	12	ψ−	ψ−	PROPN
app01-8120	64	13	=	=	SYM
app01-8120	64	14	1	1	NUM
app01-8120	64	15	2	2	NUM
app01-8120	64	16	∫	∫	NOUN
app01-8120	64	17	ωs	ωs	PROPN
app01-8120	64	18	∑	∑	PROPN
app01-8120	64	19	i	i	PRON
app01-8120	64	20	∆ziεi	∆ziεi	VERB
app01-8120	64	21	:	:	PUNCT
app01-8120	64	22	σ−i	σ−i	PROPN
app01-8120	64	23	+	+	CCONJ
app01-8120	64	24	(	(	PUNCT
app01-8120	64	25	1−	1−	NUM
app01-8120	64	26	ξ)hγ	ξ)hγ	PROPN
app01-8120	64	27	·	·	PUNCT
app01-8120	64	28	τ	τ	PROPN
app01-8120	64	29	dxs	dxs	PROPN
app01-8120	64	30	.	.	PUNCT
app01-8120	65	1	(	(	PUNCT
app01-8120	65	2	20	20	NUM
app01-8120	65	3	)	)	PUNCT
app01-8120	65	4	summation	summation	NOUN
app01-8120	65	5	represents	represent	VERB
app01-8120	65	6	dividing	divide	VERB
app01-8120	65	7	thickness	thickness	NOUN
app01-8120	65	8	into	into	ADP
app01-8120	65	9	layers	layer	NOUN
app01-8120	65	10	i	i	PRON
app01-8120	65	11	,	,	PUNCT
app01-8120	65	12	each	each	PRON
app01-8120	65	13	represented	represent	VERB
app01-8120	65	14	by	by	ADP
app01-8120	65	15	in	in	ADP
app01-8120	65	16	-	-	PUNCT
app01-8120	65	17	plane	plane	NOUN
app01-8120	65	18	stress	stress	NOUN
app01-8120	65	19	σi	σi	NOUN
app01-8120	65	20	and	and	CCONJ
app01-8120	65	21	strain	strain	VERB
app01-8120	65	22	εi	εi	VERB
app01-8120	65	23	with	with	ADP
app01-8120	65	24	sub	sub	ADJ
app01-8120	65	25	-	-	ADJ
app01-8120	65	26	thickness	thickness	ADJ
app01-8120	65	27	∆zi	∆zi	PROPN
app01-8120	65	28	.	.	PUNCT
app01-8120	66	1	parameter	parameter	PROPN
app01-8120	66	2	ξ	ξ	PROPN
app01-8120	66	3	decides	decide	VERB
app01-8120	66	4	what	what	DET
app01-8120	66	5	amount	amount	NOUN
app01-8120	66	6	of	of	ADP
app01-8120	66	7	shear	shear	NOUN
app01-8120	66	8	is	be	AUX
app01-8120	66	9	degraded	degrade	VERB
app01-8120	66	10	;	;	PUNCT
app01-8120	66	11	ξ	ξ	X
app01-8120	66	12	=	=	SYM
app01-8120	66	13	1	1	NUM
app01-8120	66	14	means	mean	VERB
app01-8120	66	15	shear	shear	NOUN
app01-8120	66	16	is	be	AUX
app01-8120	66	17	fully	fully	ADV
app01-8120	66	18	degraded	degraded	ADJ
app01-8120	66	19	meanwhile	meanwhile	ADV
app01-8120	66	20	ξ	ξ	X
app01-8120	66	21	=	=	SYM
app01-8120	66	22	0	0	X
app01-8120	66	23	is	be	AUX
app01-8120	66	24	shear	shear	ADJ
app01-8120	66	25	damage	damage	NOUN
app01-8120	66	26	-	-	PUNCT
app01-8120	66	27	free	free	ADJ
app01-8120	66	28	99	99	NUM
app01-8120	66	29	jaroslav	jaroslav	PROPN
app01-8120	66	30	schmidt	schmidt	PROPN
app01-8120	66	31	,	,	PUNCT
app01-8120	66	32	tomáš	tomáš	PROPN
app01-8120	66	33	janda	janda	PROPN
app01-8120	66	34	acta	acta	PROPN
app01-8120	66	35	polytechnica	polytechnica	PROPN
app01-8120	66	36	ctu	ctu	PROPN
app01-8120	66	37	proceedings	proceeding	NOUN
app01-8120	66	38	state	state	NOUN
app01-8120	66	39	.	.	PUNCT
app01-8120	67	1	still	still	ADV
app01-8120	67	2	the	the	DET
app01-8120	67	3	stress	stress	NOUN
app01-8120	67	4	tensor	tensor	NOUN
app01-8120	67	5	σ±i	σ±i	PROPN
app01-8120	67	6	must	must	AUX
app01-8120	67	7	be	be	AUX
app01-8120	67	8	somehow	somehow	ADV
app01-8120	67	9	decomposed	decompose	VERB
app01-8120	67	10	.	.	PUNCT
app01-8120	68	1	based	base	VERB
app01-8120	68	2	on	on	ADP
app01-8120	68	3	this	this	DET
app01-8120	68	4	decomposition	decomposition	NOUN
app01-8120	68	5	this	this	DET
app01-8120	68	6	model	model	NOUN
app01-8120	68	7	is	be	AUX
app01-8120	68	8	denoted	denote	VERB
app01-8120	68	9	as	as	ADP
app01-8120	68	10	p−	p−	NOUN
app01-8120	68	11	sd	sd	NOUN
app01-8120	68	12	if	if	SCONJ
app01-8120	68	13	spectral	spectral	ADJ
app01-8120	68	14	decomposition	decomposition	NOUN
app01-8120	68	15	is	be	AUX
app01-8120	68	16	used	use	VERB
app01-8120	68	17	and	and	CCONJ
app01-8120	68	18	is	be	AUX
app01-8120	68	19	denoted	denote	VERB
app01-8120	68	20	p−vd	p−vd	NOUN
app01-8120	68	21	for	for	ADP
app01-8120	68	22	volumetric	volumetric	NOUN
app01-8120	68	23	-	-	PUNCT
app01-8120	68	24	deviatoric	deviatoric	NOUN
app01-8120	68	25	split	split	NOUN
app01-8120	68	26	.	.	PUNCT
app01-8120	69	1	the	the	DET
app01-8120	69	2	degradation	degradation	NOUN
app01-8120	69	3	function	function	NOUN
app01-8120	69	4	still	still	ADV
app01-8120	69	5	remains	remain	VERB
app01-8120	69	6	g(d	g(d	PROPN
app01-8120	69	7	)	)	PUNCT
app01-8120	69	8	=	=	PUNCT
app01-8120	70	1	(	(	PUNCT
app01-8120	70	2	1	1	NUM
app01-8120	70	3	−	−	PROPN
app01-8120	70	4	d)2	d)2	NOUN
app01-8120	70	5	+	+	PROPN
app01-8120	70	6	kres	kre	NOUN
app01-8120	70	7	,	,	PUNCT
app01-8120	70	8	but	but	CCONJ
app01-8120	70	9	we	we	PRON
app01-8120	70	10	found	find	VERB
app01-8120	70	11	that	that	SCONJ
app01-8120	70	12	it	it	PRON
app01-8120	70	13	is	be	AUX
app01-8120	70	14	appropriate	appropriate	ADJ
app01-8120	70	15	to	to	PART
app01-8120	70	16	select	select	VERB
app01-8120	70	17	different	different	ADJ
app01-8120	70	18	parameter	parameter	NOUN
app01-8120	70	19	kres	kre	NOUN
app01-8120	70	20	for	for	ADP
app01-8120	70	21	shear	shear	NOUN
app01-8120	70	22	,	,	PUNCT
app01-8120	70	23	which	which	PRON
app01-8120	70	24	is	be	AUX
app01-8120	70	25	denotes	denote	NOUN
app01-8120	70	26	by	by	ADP
app01-8120	70	27	ks	ks	NOUN
app01-8120	70	28	res	re	NOUN
app01-8120	70	29	.	.	PUNCT
app01-8120	71	1	2.2	2.2	NUM
app01-8120	71	2	.	.	PUNCT
app01-8120	71	3	discrete	discrete	ADJ
app01-8120	71	4	dynamic	dynamic	ADJ
app01-8120	71	5	model	model	NOUN
app01-8120	71	6	first	first	ADV
app01-8120	71	7	of	of	ADP
app01-8120	71	8	all	all	PRON
app01-8120	71	9	we	we	PRON
app01-8120	71	10	suppose	suppose	VERB
app01-8120	71	11	that	that	SCONJ
app01-8120	71	12	the	the	DET
app01-8120	71	13	solution	solution	NOUN
app01-8120	71	14	is	be	AUX
app01-8120	71	15	evaluated	evaluate	VERB
app01-8120	71	16	only	only	ADV
app01-8120	71	17	in	in	ADP
app01-8120	71	18	discrete	discrete	ADJ
app01-8120	71	19	time	time	NOUN
app01-8120	71	20	instants	instant	NOUN
app01-8120	71	21	0	0	NUM
app01-8120	72	1	=	=	SYM
app01-8120	72	2	t0	t0	PROPN
app01-8120	72	3	<	<	X
app01-8120	72	4	t1	t1	NOUN
app01-8120	72	5	<	<	X
app01-8120	72	6	t2	t2	PROPN
app01-8120	72	7	<	<	X
app01-8120	72	8	.	.	PUNCT
app01-8120	72	9	.	.	PUNCT
app01-8120	72	10	.	.	PUNCT
app01-8120	73	1	<	<	X
app01-8120	73	2	tn	tn	PROPN
app01-8120	74	1	=	=	SYM
app01-8120	74	2	t	t	PROPN
app01-8120	74	3	selected	select	VERB
app01-8120	74	4	from	from	ADP
app01-8120	74	5	the	the	DET
app01-8120	74	6	original	original	ADJ
app01-8120	74	7	time	time	NOUN
app01-8120	74	8	interval	interval	NOUN
app01-8120	74	9	〈	〈	PROPN
app01-8120	74	10	0	0	NUM
app01-8120	74	11	,	,	PUNCT
app01-8120	74	12	t	t	PROPN
app01-8120	74	13	〉	〉	NUM
app01-8120	74	14	.	.	PUNCT
app01-8120	75	1	the	the	DET
app01-8120	75	2	action	action	NOUN
app01-8120	75	3	integral	integral	ADJ
app01-8120	75	4	(	(	PUNCT
app01-8120	75	5	1	1	NUM
app01-8120	75	6	)	)	PUNCT
app01-8120	75	7	is	be	AUX
app01-8120	75	8	approximated	approximate	VERB
app01-8120	75	9	based	base	VERB
app01-8120	75	10	on	on	ADP
app01-8120	75	11	this	this	DET
app01-8120	75	12	time	time	NOUN
app01-8120	75	13	discretization	discretization	NOUN
app01-8120	75	14	as	as	ADP
app01-8120	75	15	n−1∑	n−1∑	PROPN
app01-8120	75	16	i=0	i=0	PROPN
app01-8120	75	17	∆tild(ui	∆tild(ui	PROPN
app01-8120	75	18	,	,	PUNCT
app01-8120	75	19	ui+1	ui+1	PROPN
app01-8120	75	20	,	,	PUNCT
app01-8120	75	21	di	di	NOUN
app01-8120	75	22	,	,	PUNCT
app01-8120	75	23	di+1	di+1	NOUN
app01-8120	75	24	)	)	PUNCT
app01-8120	75	25	,	,	PUNCT
app01-8120	75	26	(	(	PUNCT
app01-8120	75	27	21	21	NUM
app01-8120	75	28	)	)	PUNCT
app01-8120	75	29	where	where	SCONJ
app01-8120	75	30	common	common	ADJ
app01-8120	75	31	notation	notation	NOUN
app01-8120	75	32	ui	ui	PROPN
app01-8120	75	33	=	=	PUNCT
app01-8120	75	34	u(ti	u(ti	NOUN
app01-8120	75	35	)	)	PUNCT
app01-8120	75	36	and	and	CCONJ
app01-8120	75	37	di	di	NOUN
app01-8120	75	38	=	=	PUNCT
app01-8120	75	39	d(ti	d(ti	PROPN
app01-8120	75	40	)	)	PUNCT
app01-8120	75	41	is	be	AUX
app01-8120	75	42	used	use	VERB
app01-8120	75	43	and	and	CCONJ
app01-8120	75	44	also	also	ADV
app01-8120	75	45	∆ti	∆ti	NOUN
app01-8120	75	46	=	=	SYM
app01-8120	75	47	ti+1	ti+1	ADP
app01-8120	75	48	−	−	NOUN
app01-8120	75	49	ti	ti	NOUN
app01-8120	75	50	=	=	SYM
app01-8120	75	51	∆t	∆t	PROPN
app01-8120	75	52	is	be	AUX
app01-8120	75	53	supposed	suppose	VERB
app01-8120	75	54	to	to	PART
app01-8120	75	55	be	be	AUX
app01-8120	75	56	constant	constant	ADJ
app01-8120	75	57	.	.	PUNCT
app01-8120	76	1	function	function	NOUN
app01-8120	76	2	ld	ld	PROPN
app01-8120	76	3	is	be	AUX
app01-8120	76	4	discretized	discretize	VERB
app01-8120	76	5	lagrandian	lagrandian	ADJ
app01-8120	76	6	,	,	PUNCT
app01-8120	76	7	which	which	PRON
app01-8120	76	8	approximate	approximate	VERB
app01-8120	76	9	the	the	DET
app01-8120	76	10	action	action	NOUN
app01-8120	76	11	integral	integral	ADJ
app01-8120	76	12	on	on	ADP
app01-8120	76	13	given	give	VERB
app01-8120	76	14	subinterval	subinterval	NOUN
app01-8120	76	15	.	.	PUNCT
app01-8120	77	1	for	for	ADP
app01-8120	77	2	purpose	purpose	NOUN
app01-8120	77	3	of	of	ADP
app01-8120	77	4	this	this	DET
app01-8120	77	5	article	article	NOUN
app01-8120	77	6	,	,	PUNCT
app01-8120	77	7	relatively	relatively	ADV
app01-8120	77	8	simple	simple	ADJ
app01-8120	77	9	expression	expression	NOUN
app01-8120	77	10	leading	lead	VERB
app01-8120	77	11	to	to	ADP
app01-8120	77	12	central	central	ADJ
app01-8120	77	13	difference	difference	NOUN
app01-8120	77	14	scheme	scheme	NOUN
app01-8120	77	15	is	be	AUX
app01-8120	77	16	used	use	VERB
app01-8120	77	17	,	,	PUNCT
app01-8120	77	18	i.e.	i.e.	X
app01-8120	77	19	ld(ui	ld(ui	PROPN
app01-8120	77	20	,	,	PUNCT
app01-8120	77	21	ui+1	ui+1	PROPN
app01-8120	77	22	,	,	PUNCT
app01-8120	77	23	di	di	NOUN
app01-8120	77	24	,	,	PUNCT
app01-8120	77	25	di+1	di+1	NOUN
app01-8120	77	26	)	)	PUNCT
app01-8120	77	27	=	=	SYM
app01-8120	77	28	l(ui	l(ui	PROPN
app01-8120	77	29	,	,	PUNCT
app01-8120	77	30	ui+1	ui+1	PROPN
app01-8120	77	31	−	−	PROPN
app01-8120	77	32	ui	ui	PROPN
app01-8120	77	33	∆t	∆t	PROPN
app01-8120	77	34	,	,	PUNCT
app01-8120	77	35	di	di	NOUN
app01-8120	77	36	)	)	PUNCT
app01-8120	77	37	.	.	PUNCT
app01-8120	78	1	(	(	PUNCT
app01-8120	78	2	22	22	NUM
app01-8120	78	3	)	)	PUNCT
app01-8120	78	4	as	as	ADP
app01-8120	78	5	a	a	DET
app01-8120	78	6	result	result	NOUN
app01-8120	78	7	the	the	DET
app01-8120	78	8	original	original	ADJ
app01-8120	78	9	minimization	minimization	NOUN
app01-8120	78	10	in	in	ADP
app01-8120	78	11	continuous	continuous	ADJ
app01-8120	78	12	time	time	NOUN
app01-8120	78	13	domain	domain	NOUN
app01-8120	78	14	fell	fall	VERB
app01-8120	78	15	apart	apart	ADV
app01-8120	78	16	to	to	ADP
app01-8120	78	17	individual	individual	ADJ
app01-8120	78	18	minimizations	minimization	NOUN
app01-8120	78	19	with	with	ADP
app01-8120	78	20	respect	respect	NOUN
app01-8120	78	21	to	to	ADP
app01-8120	78	22	each	each	DET
app01-8120	78	23	displacement	displacement	NOUN
app01-8120	78	24	ui	ui	NOUN
app01-8120	78	25	and	and	CCONJ
app01-8120	78	26	damage	damage	NOUN
app01-8120	78	27	di	di	NOUN
app01-8120	78	28	,	,	PUNCT
app01-8120	78	29	where	where	SCONJ
app01-8120	78	30	i	i	PRON
app01-8120	78	31	=	=	NOUN
app01-8120	78	32	0	0	NUM
app01-8120	78	33	,	,	PUNCT
app01-8120	78	34	.	.	PUNCT
app01-8120	78	35	.	.	PUNCT
app01-8120	79	1	.	.	PUNCT
app01-8120	80	1	,	,	PUNCT
app01-8120	80	2	n	n	X
app01-8120	80	3	.	.	PUNCT
app01-8120	81	1	the	the	DET
app01-8120	81	2	stationarity	stationarity	NOUN
app01-8120	81	3	condition	condition	NOUN
app01-8120	81	4	for	for	ADP
app01-8120	81	5	displacement	displacement	ADJ
app01-8120	81	6	field	field	NOUN
app01-8120	81	7	ui	ui	NOUN
app01-8120	81	8	leads	lead	VERB
app01-8120	81	9	to	to	PART
app01-8120	81	10	discrete	discrete	VERB
app01-8120	81	11	euler	euler	NOUN
app01-8120	81	12	-	-	PUNCT
app01-8120	81	13	lagrange	lagrange	NOUN
app01-8120	81	14	equation	equation	NOUN
app01-8120	81	15	in	in	ADP
app01-8120	81	16	form	form	NOUN
app01-8120	81	17	∂ld(ui−1,ui	∂ld(ui−1,ui	NOUN
app01-8120	81	18	,	,	PUNCT
app01-8120	81	19	di−1	di−1	PROPN
app01-8120	81	20	,	,	PUNCT
app01-8120	81	21	di	di	NOUN
app01-8120	81	22	)	)	PUNCT
app01-8120	81	23	∂ui	∂ui	PROPN
app01-8120	81	24	+	+	CCONJ
app01-8120	81	25	∂ld(ui	∂ld(ui	PROPN
app01-8120	81	26	,	,	PUNCT
app01-8120	81	27	ui+1	ui+1	PROPN
app01-8120	81	28	,	,	PUNCT
app01-8120	81	29	di	di	NOUN
app01-8120	81	30	,	,	PUNCT
app01-8120	81	31	di+1	di+1	NOUN
app01-8120	81	32	)	)	PUNCT
app01-8120	81	33	∂ui	∂ui	PROPN
app01-8120	81	34	=	=	SYM
app01-8120	81	35	0	0	NUM
app01-8120	81	36	,	,	PUNCT
app01-8120	81	37	(	(	PUNCT
app01-8120	81	38	23	23	NUM
app01-8120	81	39	)	)	PUNCT
app01-8120	81	40	which	which	PRON
app01-8120	81	41	can	can	AUX
app01-8120	81	42	be	be	AUX
app01-8120	81	43	expressed	express	VERB
app01-8120	81	44	implicitly	implicitly	ADV
app01-8120	81	45	in	in	ADP
app01-8120	81	46	weak	weak	ADJ
app01-8120	81	47	form	form	NOUN
app01-8120	81	48	δk(δu)−	δk(δu)−	ADP
app01-8120	81	49	δψe(δu	δψe(δu	NOUN
app01-8120	81	50	)	)	PUNCT
app01-8120	82	1	+	+	SYM
app01-8120	82	2	δp(δu	δp(δu	X
app01-8120	82	3	)	)	PUNCT
app01-8120	82	4	=	=	SYM
app01-8120	82	5	0,∀δu	0,∀δu	PUNCT
app01-8120	83	1	(	(	PUNCT
app01-8120	83	2	24	24	NUM
app01-8120	83	3	)	)	PUNCT
app01-8120	83	4	where	where	SCONJ
app01-8120	83	5	δk	δk	VERB
app01-8120	83	6	=	=	SYM
app01-8120	83	7	1	1	NUM
app01-8120	83	8	∆t2	∆t2	PROPN
app01-8120	83	9	∫	∫	PROPN
app01-8120	83	10	ω	ω	NUM
app01-8120	84	1	ρ(ui+1	ρ(ui+1	NOUN
app01-8120	84	2	−	−	PROPN
app01-8120	84	3	2ui	2ui	NOUN
app01-8120	84	4	+	+	CCONJ
app01-8120	84	5	ui−1	ui−1	PROPN
app01-8120	84	6	)	)	PUNCT
app01-8120	84	7	·	·	PUNCT
app01-8120	84	8	δu	δu	ADP
app01-8120	84	9	dx	dx	PROPN
app01-8120	84	10	,	,	PUNCT
app01-8120	84	11	(	(	PUNCT
app01-8120	84	12	25	25	NUM
app01-8120	84	13	)	)	PUNCT
app01-8120	84	14	δψe	δψe	NOUN
app01-8120	85	1	=	=	PUNCT
app01-8120	85	2	∫	∫	PROPN
app01-8120	85	3	ω	ω	PROPN
app01-8120	85	4	(	(	PUNCT
app01-8120	85	5	g(di	g(di	PROPN
app01-8120	85	6	)	)	PUNCT
app01-8120	85	7	∂ψ+(ui	∂ψ+(ui	NOUN
app01-8120	85	8	)	)	PUNCT
app01-8120	86	1	∂ui	∂ui	PROPN
app01-8120	86	2	+	+	NUM
app01-8120	86	3	∂ψ−(ui	∂ψ−(ui	PROPN
app01-8120	86	4	)	)	PUNCT
app01-8120	86	5	∂ui	∂ui	PROPN
app01-8120	86	6	)	)	PUNCT
app01-8120	86	7	·	·	PUNCT
app01-8120	86	8	δu	δu	ADP
app01-8120	86	9	dx	dx	PROPN
app01-8120	86	10	,	,	PUNCT
app01-8120	86	11	(	(	PUNCT
app01-8120	86	12	26	26	NUM
app01-8120	86	13	)	)	PUNCT
app01-8120	86	14	δp	δp	NOUN
app01-8120	87	1	=	=	SYM
app01-8120	87	2	∫	∫	PROPN
app01-8120	87	3	ω	ω	PROPN
app01-8120	87	4	t	t	PROPN
app01-8120	87	5	·	·	PUNCT
app01-8120	87	6	δui	δui	NOUN
app01-8120	87	7	dx	dx	PROPN
app01-8120	87	8	.	.	PUNCT
app01-8120	88	1	(	(	PUNCT
app01-8120	88	2	27	27	NUM
app01-8120	88	3	)	)	PUNCT
app01-8120	88	4	the	the	DET
app01-8120	88	5	presented	present	VERB
app01-8120	88	6	weak	weak	ADJ
app01-8120	88	7	form	form	NOUN
app01-8120	88	8	can	can	AUX
app01-8120	88	9	be	be	AUX
app01-8120	88	10	further	far	ADV
app01-8120	88	11	modified	modify	VERB
app01-8120	88	12	to	to	PART
app01-8120	88	13	obtained	obtain	VERB
app01-8120	88	14	governing	govern	VERB
app01-8120	88	15	equations	equation	NOUN
app01-8120	88	16	in	in	ADP
app01-8120	88	17	strong	strong	ADJ
app01-8120	88	18	form	form	NOUN
app01-8120	88	19	,	,	PUNCT
app01-8120	88	20	but	but	CCONJ
app01-8120	88	21	we	we	PRON
app01-8120	88	22	employ	employ	VERB
app01-8120	88	23	finite	finite	PROPN
app01-8120	88	24	element	element	NOUN
app01-8120	88	25	method	method	NOUN
app01-8120	88	26	for	for	ADP
app01-8120	88	27	solving	solve	VERB
app01-8120	88	28	spatial	spatial	ADJ
app01-8120	88	29	distribution	distribution	NOUN
app01-8120	88	30	of	of	ADP
app01-8120	88	31	ui	ui	NOUN
app01-8120	88	32	which	which	PRON
app01-8120	88	33	requires	require	VERB
app01-8120	88	34	weak	weak	ADJ
app01-8120	88	35	form	form	NOUN
app01-8120	88	36	as	as	ADP
app01-8120	88	37	an	an	DET
app01-8120	88	38	input	input	NOUN
app01-8120	88	39	.	.	PUNCT
app01-8120	89	1	the	the	DET
app01-8120	89	2	governing	govern	VERB
app01-8120	89	3	weak	weak	ADJ
app01-8120	89	4	form	form	NOUN
app01-8120	89	5	for	for	ADP
app01-8120	89	6	damage	damage	NOUN
app01-8120	89	7	is	be	AUX
app01-8120	89	8	identical	identical	ADJ
app01-8120	89	9	with	with	ADP
app01-8120	89	10	quasi	quasi	ADJ
app01-8120	89	11	-	-	ADJ
app01-8120	89	12	static	static	ADJ
app01-8120	89	13	version	version	NOUN
app01-8120	89	14	.	.	PUNCT
app01-8120	90	1	the	the	DET
app01-8120	90	2	stationary	stationary	ADJ
app01-8120	90	3	condition	condition	NOUN
app01-8120	90	4	δa(u	δa(u	ADJ
app01-8120	90	5	,	,	PUNCT
app01-8120	90	6	u̇	u̇	PROPN
app01-8120	90	7	,	,	PUNCT
app01-8120	90	8	d	d	PROPN
app01-8120	90	9	,	,	PUNCT
app01-8120	90	10	δd	δd	X
app01-8120	90	11	)	)	PUNCT
app01-8120	90	12	=	=	SYM
app01-8120	90	13	0	0	NUM
app01-8120	90	14	,	,	PUNCT
app01-8120	90	15	∀δd	∀δd	PROPN
app01-8120	90	16	(	(	PUNCT
app01-8120	90	17	28	28	NUM
app01-8120	90	18	)	)	PUNCT
app01-8120	90	19	becomes∫	becomes∫	VERB
app01-8120	90	20	ω	ω	NUM
app01-8120	90	21	gf	gf	X
app01-8120	90	22	cα	cα	ADP
app01-8120	90	23	(	(	PUNCT
app01-8120	90	24	α′(d	α′(d	NOUN
app01-8120	90	25	)	)	PUNCT
app01-8120	90	26	l	l	NOUN
app01-8120	90	27	+	+	NUM
app01-8120	90	28	l∇d∇δd	l∇d∇δd	NUM
app01-8120	90	29	)	)	PUNCT
app01-8120	91	1	+	+	CCONJ
app01-8120	91	2	g′(d)ψ+	g′(d)ψ+	NUM
app01-8120	91	3	dx	dx	PROPN
app01-8120	91	4	=	=	SYM
app01-8120	91	5	0	0	PROPN
app01-8120	91	6	,	,	PUNCT
app01-8120	91	7	∀δd	∀δd	PROPN
app01-8120	91	8	(	(	PUNCT
app01-8120	91	9	29	29	NUM
app01-8120	91	10	)	)	PUNCT
app01-8120	91	11	with	with	ADP
app01-8120	91	12	damage	damage	NOUN
app01-8120	91	13	irreversibility	irreversibility	NOUN
app01-8120	91	14	condition	condition	NOUN
app01-8120	91	15	di(x	di(x	NUM
app01-8120	91	16	)	)	PUNCT
app01-8120	91	17	≤	≤	NOUN
app01-8120	91	18	di+1(x	di+1(x	NOUN
app01-8120	91	19	)	)	PUNCT
app01-8120	91	20	,	,	PUNCT
app01-8120	91	21	∀x	∀x	NUM
app01-8120	91	22	,	,	PUNCT
app01-8120	91	23	i	i	PRON
app01-8120	91	24	=	=	NOUN
app01-8120	91	25	0	0	NUM
app01-8120	91	26	,	,	PUNCT
app01-8120	91	27	.	.	PUNCT
app01-8120	91	28	.	.	PUNCT
app01-8120	91	29	.	.	PUNCT
app01-8120	92	1	,	,	PUNCT
app01-8120	92	2	n	n	CCONJ
app01-8120	92	3	−	−	PROPN
app01-8120	92	4	1	1	NUM
app01-8120	92	5	(	(	PUNCT
app01-8120	92	6	30	30	NUM
app01-8120	92	7	)	)	PUNCT
app01-8120	92	8	this	this	DET
app01-8120	92	9	approach	approach	NOUN
app01-8120	92	10	therefore	therefore	ADV
app01-8120	92	11	induces	induce	VERB
app01-8120	92	12	the	the	DET
app01-8120	92	13	following	follow	VERB
app01-8120	92	14	explicit	explicit	ADJ
app01-8120	92	15	non	non	ADJ
app01-8120	92	16	-	-	ADJ
app01-8120	92	17	incremental	incremental	ADJ
app01-8120	92	18	dynamic	dynamic	ADJ
app01-8120	92	19	procedure	procedure	NOUN
app01-8120	92	20	:	:	PUNCT
app01-8120	92	21	(	(	PUNCT
app01-8120	92	22	i	i	NOUN
app01-8120	92	23	)	)	PUNCT
app01-8120	92	24	solve	solve	VERB
app01-8120	92	25	explicitly	explicitly	ADV
app01-8120	92	26	displacement	displacement	ADJ
app01-8120	92	27	in	in	ADP
app01-8120	92	28	time	time	NOUN
app01-8120	92	29	ti	ti	NOUN
app01-8120	92	30	by	by	ADP
app01-8120	92	31	linear	linear	PROPN
app01-8120	92	32	problem	problem	NOUN
app01-8120	92	33	(	(	PUNCT
app01-8120	92	34	24	24	NUM
app01-8120	92	35	)	)	PUNCT
app01-8120	92	36	,	,	PUNCT
app01-8120	92	37	(	(	PUNCT
app01-8120	92	38	ii	ii	NOUN
app01-8120	92	39	)	)	PUNCT
app01-8120	92	40	solve	solve	VERB
app01-8120	92	41	damage	damage	NOUN
app01-8120	92	42	field	field	NOUN
app01-8120	92	43	di	di	NOUN
app01-8120	92	44	by	by	ADP
app01-8120	92	45	variational	variational	ADJ
app01-8120	92	46	ineqaulity	ineqaulity	NOUN
app01-8120	92	47	problem	problem	NOUN
app01-8120	92	48	(	(	PUNCT
app01-8120	92	49	29)+(30	29)+(30	NUM
app01-8120	92	50	)	)	PUNCT
app01-8120	92	51	,	,	PUNCT
app01-8120	92	52	(	(	PUNCT
app01-8120	92	53	iii	iii	X
app01-8120	92	54	)	)	PUNCT
app01-8120	92	55	increment	increment	NOUN
app01-8120	92	56	time	time	NOUN
app01-8120	92	57	.	.	PUNCT
app01-8120	93	1	2.3	2.3	NUM
app01-8120	93	2	.	.	PUNCT
app01-8120	94	1	nonlinear	nonlinear	ADJ
app01-8120	94	2	hertz	hertz	NOUN
app01-8120	94	3	force	force	VERB
app01-8120	94	4	the	the	DET
app01-8120	94	5	impact	impact	NOUN
app01-8120	94	6	of	of	ADP
app01-8120	94	7	steel	steel	NOUN
app01-8120	94	8	impactor	impactor	NOUN
app01-8120	94	9	with	with	ADP
app01-8120	94	10	weight	weight	NOUN
app01-8120	94	11	mimp	mimp	NOUN
app01-8120	94	12	is	be	AUX
app01-8120	94	13	included	include	VERB
app01-8120	94	14	in	in	ADP
app01-8120	94	15	the	the	DET
app01-8120	94	16	model	model	NOUN
app01-8120	94	17	through	through	ADP
app01-8120	94	18	hertz	hertz	NOUN
app01-8120	94	19	-	-	PUNCT
app01-8120	94	20	law	law	NOUN
app01-8120	94	21	.	.	PUNCT
app01-8120	95	1	the	the	DET
app01-8120	95	2	impactor	impactor	NOUN
app01-8120	95	3	is	be	AUX
app01-8120	95	4	characterized	characterize	VERB
app01-8120	95	5	by	by	ADP
app01-8120	95	6	scalar	scalar	ADJ
app01-8120	95	7	displacement	displacement	ADJ
app01-8120	95	8	uimp	uimp	NOUN
app01-8120	95	9	,	,	PUNCT
app01-8120	95	10	which	which	PRON
app01-8120	95	11	is	be	AUX
app01-8120	95	12	binded	bind	VERB
app01-8120	95	13	to	to	PART
app01-8120	95	14	plate	plate	VERB
app01-8120	95	15	by	by	ADP
app01-8120	95	16	nonlinear	nonlinear	ADJ
app01-8120	95	17	contact	contact	NOUN
app01-8120	95	18	force	force	NOUN
app01-8120	95	19	f	f	PROPN
app01-8120	95	20	(	(	PUNCT
app01-8120	95	21	u	u	NOUN
app01-8120	95	22	,	,	PUNCT
app01-8120	95	23	uimp	uimp	ADJ
app01-8120	95	24	)	)	PUNCT
app01-8120	95	25	=	=	SYM
app01-8120	96	1	k〈uz(ximp)−	k〈uz(ximp)−	NOUN
app01-8120	96	2	uimp〉3/2	uimp〉3/2	INTJ
app01-8120	96	3	,	,	PUNCT
app01-8120	96	4	(	(	PUNCT
app01-8120	96	5	31	31	NUM
app01-8120	96	6	)	)	PUNCT
app01-8120	96	7	where	where	SCONJ
app01-8120	96	8	ximp	ximp	PROPN
app01-8120	96	9	is	be	AUX
app01-8120	96	10	impact	impact	NOUN
app01-8120	96	11	position	position	NOUN
app01-8120	96	12	on	on	ADP
app01-8120	96	13	body	body	NOUN
app01-8120	96	14	ω	ω	PROPN
app01-8120	96	15	,	,	PUNCT
app01-8120	96	16	uz	uz	PROPN
app01-8120	96	17	is	be	AUX
app01-8120	96	18	out	out	ADV
app01-8120	96	19	-	-	PUNCT
app01-8120	96	20	ofplane	ofplane	NOUN
app01-8120	96	21	component	component	NOUN
app01-8120	96	22	of	of	ADP
app01-8120	96	23	u	u	NOUN
app01-8120	96	24	=	=	PUNCT
app01-8120	96	25	(	(	PUNCT
app01-8120	96	26	ux	ux	PROPN
app01-8120	96	27	,	,	PUNCT
app01-8120	96	28	uy	uy	PROPN
app01-8120	96	29	,	,	PUNCT
app01-8120	96	30	uz	uz	PROPN
app01-8120	96	31	)	)	PUNCT
app01-8120	96	32	and	and	CCONJ
app01-8120	96	33	k	k	PROPN
app01-8120	96	34	is	be	AUX
app01-8120	96	35	contact	contact	NOUN
app01-8120	96	36	stiffness	stiffness	NOUN
app01-8120	96	37	.	.	PUNCT
app01-8120	97	1	although	although	SCONJ
app01-8120	97	2	the	the	DET
app01-8120	97	3	force	force	NOUN
app01-8120	97	4	is	be	AUX
app01-8120	97	5	nonlinear	nonlinear	ADJ
app01-8120	97	6	the	the	DET
app01-8120	97	7	pseudo	pseudo	NOUN
app01-8120	97	8	potential	potential	NOUN
app01-8120	97	9	of	of	ADP
app01-8120	97	10	this	this	DET
app01-8120	97	11	force	force	NOUN
app01-8120	97	12	can	can	AUX
app01-8120	97	13	be	be	AUX
app01-8120	97	14	still	still	ADV
app01-8120	97	15	founded	found	VERB
app01-8120	97	16	.	.	PUNCT
app01-8120	98	1	this	this	DET
app01-8120	98	2	potential	potential	ADJ
app01-8120	98	3	phertz	phertz	NOUN
app01-8120	98	4	=	=	PUNCT
app01-8120	98	5	2	2	NUM
app01-8120	98	6	5k〈uz(ximp)−	5k〈uz(ximp)−	NUM
app01-8120	98	7	uimp〉5/2	uimp〉5/2	ADJ
app01-8120	98	8	(	(	PUNCT
app01-8120	98	9	32	32	NUM
app01-8120	98	10	)	)	PUNCT
app01-8120	98	11	is	be	AUX
app01-8120	98	12	added	add	VERB
app01-8120	98	13	to	to	ADP
app01-8120	98	14	external	external	ADJ
app01-8120	98	15	work	work	NOUN
app01-8120	98	16	(	(	PUNCT
app01-8120	98	17	6	6	NUM
app01-8120	98	18	)	)	PUNCT
app01-8120	98	19	and	and	CCONJ
app01-8120	98	20	it	it	PRON
app01-8120	98	21	induces	induce	VERB
app01-8120	98	22	force	force	NOUN
app01-8120	98	23	(	(	PUNCT
app01-8120	98	24	31	31	NUM
app01-8120	98	25	)	)	PUNCT
app01-8120	98	26	applied	apply	VERB
app01-8120	98	27	to	to	ADP
app01-8120	98	28	impact	impact	NOUN
app01-8120	98	29	point	point	NOUN
app01-8120	98	30	ximp	ximp	PROPN
app01-8120	98	31	and	and	CCONJ
app01-8120	98	32	negative	negative	ADJ
app01-8120	98	33	force	force	NOUN
app01-8120	98	34	(	(	PUNCT
app01-8120	98	35	31	31	NUM
app01-8120	98	36	)	)	PUNCT
app01-8120	98	37	applied	apply	VERB
app01-8120	98	38	to	to	ADP
app01-8120	98	39	impactor	impactor	NOUN
app01-8120	98	40	.	.	PUNCT
app01-8120	99	1	additionaly	additionaly	PROPN
app01-8120	99	2	the	the	DET
app01-8120	99	3	kinetic	kinetic	ADJ
app01-8120	99	4	energy	energy	NOUN
app01-8120	99	5	must	must	AUX
app01-8120	99	6	be	be	AUX
app01-8120	99	7	enhanced	enhance	VERB
app01-8120	99	8	by	by	ADP
app01-8120	99	9	kimp	kimp	NOUN
app01-8120	99	10	=	=	PROPN
app01-8120	99	11	1	1	NUM
app01-8120	99	12	2mimpu̇impu̇imp	2mimpu̇impu̇imp	NUM
app01-8120	99	13	(	(	PUNCT
app01-8120	99	14	33	33	NUM
app01-8120	99	15	)	)	PUNCT
app01-8120	99	16	with	with	ADP
app01-8120	99	17	impactor	impactor	NOUN
app01-8120	99	18	displacement	displacement	ADJ
app01-8120	99	19	rate	rate	NOUN
app01-8120	99	20	u̇imp	u̇imp	PROPN
app01-8120	99	21	.	.	PUNCT
app01-8120	100	1	this	this	DET
app01-8120	100	2	part	part	NOUN
app01-8120	100	3	of	of	ADP
app01-8120	100	4	kinetic	kinetic	ADJ
app01-8120	100	5	energy	energy	NOUN
app01-8120	100	6	is	be	AUX
app01-8120	100	7	again	again	ADV
app01-8120	100	8	approximated	approximate	VERB
app01-8120	100	9	by	by	ADP
app01-8120	100	10	discretized	discretized	ADJ
app01-8120	100	11	lagrangian	lagrangian	ADJ
app01-8120	100	12	and	and	CCONJ
app01-8120	100	13	discrete	discrete	ADJ
app01-8120	100	14	euler	euler	NOUN
app01-8120	100	15	-	-	PUNCT
app01-8120	100	16	lagrange	lagrange	NOUN
app01-8120	100	17	equation	equation	NOUN
app01-8120	100	18	induces	induce	VERB
app01-8120	100	19	following	follow	VERB
app01-8120	100	20	additional	additional	ADJ
app01-8120	100	21	member	member	NOUN
app01-8120	100	22	of	of	ADP
app01-8120	100	23	weak	weak	ADJ
app01-8120	100	24	form	form	NOUN
app01-8120	100	25	(	(	PUNCT
app01-8120	100	26	26	26	NUM
app01-8120	100	27	)	)	PUNCT
app01-8120	100	28	,	,	PUNCT
app01-8120	100	29	i.e.	i.e.	X
app01-8120	100	30	δkimp	δkimp	NOUN
app01-8120	100	31	=	=	SYM
app01-8120	100	32	mimp	mimp	NOUN
app01-8120	100	33	uimp	uimp	NOUN
app01-8120	100	34	,	,	PUNCT
app01-8120	100	35	i+1	i+1	ADV
app01-8120	100	36	−	−	PROPN
app01-8120	100	37	2uimp	2uimp	NUM
app01-8120	100	38	,	,	PUNCT
app01-8120	100	39	i	i	PRON
app01-8120	100	40	+	+	CCONJ
app01-8120	100	41	uimp	uimp	ADJ
app01-8120	100	42	,	,	PUNCT
app01-8120	100	43	i−1	i−1	PROPN
app01-8120	100	44	∆t2	∆t2	PROPN
app01-8120	100	45	δuimp	δuimp	PROPN
app01-8120	100	46	(	(	PUNCT
app01-8120	100	47	34	34	NUM
app01-8120	100	48	)	)	PUNCT
app01-8120	100	49	3	3	NUM
app01-8120	100	50	.	.	X
app01-8120	100	51	implementation	implementation	NOUN
app01-8120	100	52	for	for	ADP
app01-8120	100	53	solving	solve	VERB
app01-8120	100	54	spatial	spatial	ADJ
app01-8120	100	55	distribution	distribution	NOUN
app01-8120	100	56	of	of	ADP
app01-8120	100	57	ui	ui	PROPN
app01-8120	100	58	,	,	PUNCT
app01-8120	100	59	the	the	DET
app01-8120	100	60	common	common	ADJ
app01-8120	100	61	finite	finite	ADJ
app01-8120	100	62	element	element	NOUN
app01-8120	100	63	method	method	NOUN
app01-8120	100	64	(	(	PUNCT
app01-8120	100	65	fem	fem	NOUN
app01-8120	100	66	)	)	PUNCT
app01-8120	100	67	is	be	AUX
app01-8120	100	68	used	use	VERB
app01-8120	100	69	.	.	PUNCT
app01-8120	101	1	the	the	DET
app01-8120	101	2	displacement	displacement	ADJ
app01-8120	101	3	field	field	NOUN
app01-8120	101	4	is	be	AUX
app01-8120	101	5	approximated	approximate	VERB
app01-8120	101	6	by	by	ADP
app01-8120	101	7	nodal	nodal	ADJ
app01-8120	101	8	values	value	NOUN
app01-8120	101	9	ri	ri	NOUN
app01-8120	101	10	through	through	ADP
app01-8120	101	11	selected	select	VERB
app01-8120	101	12	basis	basis	NOUN
app01-8120	101	13	functions	function	NOUN
app01-8120	101	14	.	.	PUNCT
app01-8120	102	1	since	since	SCONJ
app01-8120	102	2	the	the	DET
app01-8120	102	3	fem	fem	NOUN
app01-8120	102	4	is	be	AUX
app01-8120	102	5	well	well	ADV
app01-8120	102	6	established	establish	VERB
app01-8120	102	7	,	,	PUNCT
app01-8120	102	8	the	the	DET
app01-8120	102	9	details	detail	NOUN
app01-8120	102	10	of	of	ADP
app01-8120	102	11	method	method	NOUN
app01-8120	102	12	is	be	AUX
app01-8120	102	13	not	not	PART
app01-8120	102	14	presented	present	VERB
app01-8120	102	15	here	here	ADV
app01-8120	102	16	.	.	PUNCT
app01-8120	103	1	to	to	PART
app01-8120	103	2	handle	handle	VERB
app01-8120	103	3	simultaneously	simultaneously	ADV
app01-8120	103	4	deflection	deflection	NOUN
app01-8120	103	5	of	of	ADP
app01-8120	103	6	elastic	elastic	ADJ
app01-8120	103	7	body	body	NOUN
app01-8120	103	8	and	and	CCONJ
app01-8120	103	9	100	100	NUM
app01-8120	103	10	vol	vol	NOUN
app01-8120	103	11	.	.	PUNCT
app01-8120	104	1	34/2022	34/2022	NUM
app01-8120	104	2	phase	phase	NOUN
app01-8120	104	3	-	-	PUNCT
app01-8120	104	4	field	field	NOUN
app01-8120	104	5	damage	damage	NOUN
app01-8120	104	6	of	of	ADP
app01-8120	104	7	laminated	laminated	ADJ
app01-8120	104	8	glass	glass	NOUN
app01-8120	104	9	in	in	ADP
app01-8120	104	10	explicit	explicit	ADJ
app01-8120	104	11	dynamics	dynamic	NOUN
app01-8120	104	12	l1	l1	PROPN
app01-8120	104	13	=	=	PROPN
app01-8120	104	14	1.5	1.5	NUM
app01-8120	104	15	m	m	NOUN
app01-8120	104	16	l	l	NOUN
app01-8120	104	17	2	2	NUM
app01-8120	104	18	=	=	SYM
app01-8120	104	19	1	1	NUM
app01-8120	104	20	.	.	NOUN
app01-8120	104	21	5	5	NUM
app01-8120	104	22	m	m	NOUN
app01-8120	104	23	h	h	NOUN
app01-8120	105	1	=	=	NOUN
app01-8120	105	2	0.02	0.02	NUM
app01-8120	105	3	m	m	NOUN
app01-8120	105	4	e	e	NOUN
app01-8120	105	5	=	=	SYM
app01-8120	105	6	72	72	NUM
app01-8120	105	7	gpa	gpa	NOUN
app01-8120	105	8	ν	ν	NOUN
app01-8120	105	9	=	=	SYM
app01-8120	105	10	0.22	0.22	NUM
app01-8120	105	11	ρ	ρ	NOUN
app01-8120	105	12	=	=	SYM
app01-8120	105	13	2500	2500	NUM
app01-8120	105	14	kg	kg	NOUN
app01-8120	105	15	/	/	SYM
app01-8120	105	16	m3	m3	PROPN
app01-8120	105	17	x	x	PUNCT
app01-8120	105	18	y	y	PROPN
app01-8120	105	19	figure	figure	NOUN
app01-8120	105	20	1	1	NUM
app01-8120	105	21	.	.	PUNCT
app01-8120	105	22	setup	setup	NOUN
app01-8120	105	23	of	of	ADP
app01-8120	105	24	investigated	investigate	VERB
app01-8120	105	25	task	task	NOUN
app01-8120	105	26	.	.	PUNCT
app01-8120	106	1	impactor	impactor	NOUN
app01-8120	106	2	position	position	NOUN
app01-8120	106	3	,	,	PUNCT
app01-8120	106	4	the	the	DET
app01-8120	106	5	all	all	DET
app01-8120	106	6	matrices	matrix	NOUN
app01-8120	106	7	and	and	CCONJ
app01-8120	106	8	vectors	vector	NOUN
app01-8120	106	9	are	be	AUX
app01-8120	106	10	extended	extend	VERB
app01-8120	106	11	by	by	ADP
app01-8120	106	12	one	one	NUM
app01-8120	106	13	additionaly	additionaly	NOUN
app01-8120	106	14	degree	degree	NOUN
app01-8120	106	15	of	of	ADP
app01-8120	106	16	freedom	freedom	NOUN
app01-8120	106	17	and	and	CCONJ
app01-8120	106	18	final	final	ADJ
app01-8120	106	19	object	object	NOUN
app01-8120	106	20	is	be	AUX
app01-8120	106	21	marked	mark	VERB
app01-8120	106	22	by	by	ADP
app01-8120	106	23	tilde	tilde	NOUN
app01-8120	106	24	.	.	PUNCT
app01-8120	107	1	for	for	ADP
app01-8120	107	2	example	example	NOUN
app01-8120	107	3	displacement	displacement	NOUN
app01-8120	107	4	vector	vector	NOUN
app01-8120	107	5	r̃i	r̃i	NOUN
app01-8120	107	6	or	or	CCONJ
app01-8120	107	7	mass	mass	ADJ
app01-8120	107	8	matrix	matrix	NOUN
app01-8120	107	9	m̃	m̃	PROPN
app01-8120	107	10	mean	mean	VERB
app01-8120	107	11	r̃i	r̃i	NOUN
app01-8120	107	12	=	=	SYM
app01-8120	107	13	{	{	PUNCT
app01-8120	107	14	ri	ri	PROPN
app01-8120	107	15	,	,	PUNCT
app01-8120	107	16	uimp	uimp	ADJ
app01-8120	107	17	}	}	PUNCT
app01-8120	107	18	,	,	PUNCT
app01-8120	107	19	m̃	m̃	PROPN
app01-8120	107	20	=	=	PUNCT
app01-8120	108	1	[	[	PUNCT
app01-8120	108	2	m	m	NOUN
app01-8120	108	3	0	0	NUM
app01-8120	108	4	0	0	NUM
app01-8120	108	5	mimp	mimp	NOUN
app01-8120	108	6	]	]	PUNCT
app01-8120	108	7	.	.	PUNCT
app01-8120	109	1	(	(	PUNCT
app01-8120	109	2	35	35	NUM
app01-8120	109	3	)	)	PUNCT
app01-8120	109	4	with	with	ADP
app01-8120	109	5	this	this	PRON
app01-8120	109	6	in	in	ADP
app01-8120	109	7	hand	hand	NOUN
app01-8120	109	8	,	,	PUNCT
app01-8120	109	9	the	the	DET
app01-8120	109	10	displacement	displacement	ADJ
app01-8120	109	11	problem	problem	NOUN
app01-8120	109	12	(	(	PUNCT
app01-8120	109	13	24	24	NUM
app01-8120	109	14	)	)	PUNCT
app01-8120	109	15	after	after	SCONJ
app01-8120	109	16	fem	fem	NOUN
app01-8120	109	17	assemble	assemble	VERB
app01-8120	109	18	process	process	NOUN
app01-8120	109	19	and	and	CCONJ
app01-8120	109	20	localization	localization	NOUN
app01-8120	109	21	becomes	become	VERB
app01-8120	109	22	1	1	NUM
app01-8120	109	23	∆t2	∆t2	NOUN
app01-8120	109	24	m̃(r̃i+1	m̃(r̃i+1	NOUN
app01-8120	109	25	−	−	NOUN
app01-8120	109	26	2r̃i	2r̃i	NUM
app01-8120	109	27	+	+	NUM
app01-8120	109	28	r̃i−1	r̃i−1	X
app01-8120	109	29	)	)	PUNCT
app01-8120	110	1	+	+	CCONJ
app01-8120	110	2	k̃r̃i	k̃r̃i	X
app01-8120	110	3	+	+	CCONJ
app01-8120	111	1	f̃	f̃	PROPN
app01-8120	111	2	(	(	PUNCT
app01-8120	111	3	r̃i	r̃i	NOUN
app01-8120	111	4	)	)	PUNCT
app01-8120	111	5	=	=	SYM
app01-8120	111	6	0̃	0̃	NOUN
app01-8120	111	7	,	,	PUNCT
app01-8120	111	8	(	(	PUNCT
app01-8120	111	9	36	36	NUM
app01-8120	111	10	)	)	PUNCT
app01-8120	111	11	which	which	PRON
app01-8120	111	12	is	be	AUX
app01-8120	111	13	linear	linear	ADJ
app01-8120	111	14	in	in	ADP
app01-8120	111	15	parameter	parameter	NOUN
app01-8120	111	16	ri+1	ri+1	PROPN
app01-8120	111	17	.	.	PUNCT
app01-8120	112	1	the	the	DET
app01-8120	112	2	matrices	matrix	NOUN
app01-8120	112	3	k̃	k̃	PROPN
app01-8120	112	4	and	and	CCONJ
app01-8120	112	5	m̃	m̃	PROPN
app01-8120	112	6	are	be	AUX
app01-8120	112	7	stiffness	stiffness	ADJ
app01-8120	112	8	and	and	CCONJ
app01-8120	112	9	mass	mass	ADJ
app01-8120	112	10	matrices	matrix	NOUN
app01-8120	112	11	.	.	PUNCT
app01-8120	113	1	presentation	presentation	NOUN
app01-8120	113	2	of	of	ADP
app01-8120	113	3	their	their	PRON
app01-8120	113	4	precise	precise	ADJ
app01-8120	113	5	form	form	NOUN
app01-8120	113	6	goes	go	VERB
app01-8120	113	7	beyond	beyond	ADP
app01-8120	113	8	the	the	DET
app01-8120	113	9	scope	scope	NOUN
app01-8120	113	10	of	of	ADP
app01-8120	113	11	this	this	DET
app01-8120	113	12	paper	paper	NOUN
app01-8120	113	13	.	.	PUNCT
app01-8120	114	1	the	the	DET
app01-8120	114	2	assembling	assembling	NOUN
app01-8120	114	3	and	and	CCONJ
app01-8120	114	4	localization	localization	NOUN
app01-8120	114	5	of	of	ADP
app01-8120	114	6	damage	damage	NOUN
app01-8120	114	7	problem	problem	NOUN
app01-8120	114	8	(	(	PUNCT
app01-8120	114	9	29	29	NUM
app01-8120	114	10	)	)	PUNCT
app01-8120	114	11	leads	lead	VERB
app01-8120	114	12	to	to	ADP
app01-8120	114	13	linear	linear	ADJ
app01-8120	114	14	form	form	NOUN
app01-8120	114	15	hdi	hdi	PROPN
app01-8120	114	16	+	+	CCONJ
app01-8120	114	17	fd	fd	PROPN
app01-8120	114	18	=	=	SYM
app01-8120	114	19	0	0	PROPN
app01-8120	114	20	,	,	PUNCT
app01-8120	114	21	(	(	PUNCT
app01-8120	114	22	37	37	NUM
app01-8120	114	23	)	)	PUNCT
app01-8120	114	24	but	but	CCONJ
app01-8120	114	25	let	let	VERB
app01-8120	114	26	us	we	PRON
app01-8120	114	27	remark	remark	VERB
app01-8120	114	28	several	several	ADJ
app01-8120	114	29	comments	comment	NOUN
app01-8120	114	30	.	.	PUNCT
app01-8120	115	1	first	first	ADV
app01-8120	115	2	of	of	ADP
app01-8120	115	3	all	all	PRON
app01-8120	115	4	,	,	PUNCT
app01-8120	115	5	the	the	DET
app01-8120	115	6	discretized	discretized	ADJ
app01-8120	115	7	damage	damage	NOUN
app01-8120	115	8	field	field	NOUN
app01-8120	115	9	di	di	NOUN
app01-8120	115	10	still	still	ADV
app01-8120	115	11	undergoes	undergo	VERB
app01-8120	115	12	irreversibility	irreversibility	NOUN
app01-8120	115	13	condition	condition	NOUN
app01-8120	115	14	di	di	X
app01-8120	115	15	�	�	PROPN
app01-8120	115	16	di+1	di+1	PROPN
app01-8120	116	1	i	i	NOUN
app01-8120	116	2	=	=	NOUN
app01-8120	116	3	0	0	NUM
app01-8120	116	4	,	,	PUNCT
app01-8120	116	5	.	.	PUNCT
app01-8120	116	6	.	.	PUNCT
app01-8120	117	1	.	.	PUNCT
app01-8120	118	1	,	,	PUNCT
app01-8120	119	1	n	n	CCONJ
app01-8120	119	2	−	−	PROPN
app01-8120	119	3	1	1	NUM
app01-8120	119	4	,	,	PUNCT
app01-8120	119	5	(	(	PUNCT
app01-8120	119	6	38	38	NUM
app01-8120	119	7	)	)	PUNCT
app01-8120	119	8	where	where	SCONJ
app01-8120	119	9	�	�	PROPN
app01-8120	119	10	operator	operator	NOUN
app01-8120	119	11	stands	stand	VERB
app01-8120	119	12	for	for	ADP
app01-8120	119	13	element	element	ADJ
app01-8120	119	14	-	-	ADJ
app01-8120	119	15	wise	wise	ADJ
app01-8120	119	16	comparison	comparison	NOUN
app01-8120	119	17	.	.	PUNCT
app01-8120	120	1	from	from	ADP
app01-8120	120	2	that	that	DET
app01-8120	120	3	reason	reason	NOUN
app01-8120	120	4	the	the	DET
app01-8120	120	5	linear	linear	ADJ
app01-8120	120	6	problem	problem	NOUN
app01-8120	120	7	(	(	PUNCT
app01-8120	120	8	37	37	NUM
app01-8120	120	9	)	)	PUNCT
app01-8120	120	10	must	must	AUX
app01-8120	120	11	be	be	AUX
app01-8120	120	12	solved	solve	VERB
app01-8120	120	13	by	by	ADP
app01-8120	120	14	nonlinear	nonlinear	PROPN
app01-8120	120	15	solver	solver	PROPN
app01-8120	120	16	based	base	VERB
app01-8120	120	17	on	on	ADP
app01-8120	120	18	variational	variational	ADJ
app01-8120	120	19	inequalities	inequality	NOUN
app01-8120	120	20	to	to	PART
app01-8120	120	21	satisfy	satisfy	VERB
app01-8120	120	22	condition	condition	NOUN
app01-8120	120	23	(	(	PUNCT
app01-8120	120	24	38	38	NUM
app01-8120	120	25	)	)	PUNCT
app01-8120	120	26	.	.	PUNCT
app01-8120	121	1	the	the	DET
app01-8120	121	2	second	second	ADJ
app01-8120	121	3	remark	remark	NOUN
app01-8120	121	4	is	be	AUX
app01-8120	121	5	about	about	ADP
app01-8120	121	6	matrices	matrix	NOUN
app01-8120	121	7	k̃	k̃	PROPN
app01-8120	121	8	,	,	PUNCT
app01-8120	121	9	h	h	NOUN
app01-8120	121	10	and	and	CCONJ
app01-8120	121	11	damage	damage	NOUN
app01-8120	121	12	-	-	PUNCT
app01-8120	121	13	driving	drive	VERB
app01-8120	121	14	force	force	NOUN
app01-8120	121	15	fd	fd	PROPN
app01-8120	121	16	.	.	PUNCT
app01-8120	122	1	these	these	PRON
app01-8120	122	2	are	be	AUX
app01-8120	122	3	ui	ui	PROPN
app01-8120	122	4	resp	resp	NOUN
app01-8120	122	5	.	.	PUNCT
app01-8120	123	1	di	di	NOUN
app01-8120	123	2	nonlinearly	nonlinearly	ADV
app01-8120	123	3	dependent	dependent	ADJ
app01-8120	123	4	and	and	CCONJ
app01-8120	123	5	must	must	AUX
app01-8120	123	6	be	be	AUX
app01-8120	123	7	assembled	assemble	VERB
app01-8120	123	8	in	in	ADP
app01-8120	123	9	each	each	DET
app01-8120	123	10	time	time	NOUN
app01-8120	123	11	steps	step	NOUN
app01-8120	123	12	.	.	PUNCT
app01-8120	124	1	it	it	PRON
app01-8120	124	2	significantly	significantly	ADV
app01-8120	124	3	slows	slow	VERB
app01-8120	124	4	down	down	ADP
app01-8120	124	5	the	the	DET
app01-8120	124	6	calculations	calculation	NOUN
app01-8120	124	7	.	.	PUNCT
app01-8120	125	1	4	4	X
app01-8120	125	2	.	.	X
app01-8120	125	3	setup	setup	VERB
app01-8120	125	4	the	the	DET
app01-8120	125	5	all	all	DET
app01-8120	125	6	simulations	simulation	NOUN
app01-8120	125	7	are	be	AUX
app01-8120	125	8	performed	perform	VERB
app01-8120	125	9	on	on	ADP
app01-8120	125	10	the	the	DET
app01-8120	125	11	same	same	ADJ
app01-8120	125	12	task	task	NOUN
app01-8120	125	13	–	–	PUNCT
app01-8120	125	14	unsupported	unsupported	ADJ
app01-8120	125	15	square	square	ADJ
app01-8120	125	16	glass	glass	NOUN
app01-8120	125	17	plate	plate	NOUN
app01-8120	125	18	hit	hit	VERB
app01-8120	125	19	by	by	ADP
app01-8120	125	20	steal	steal	NOUN
app01-8120	125	21	impactor	impactor	NOUN
app01-8120	125	22	.	.	PUNCT
app01-8120	126	1	this	this	DET
app01-8120	126	2	setup	setup	NOUN
app01-8120	126	3	follows	follow	VERB
app01-8120	126	4	from	from	ADP
app01-8120	126	5	real	real	ADJ
app01-8120	126	6	experimental	experimental	ADJ
app01-8120	126	7	arrangement	arrangement	NOUN
app01-8120	126	8	,	,	PUNCT
app01-8120	126	9	see	see	VERB
app01-8120	126	10	[	[	X
app01-8120	126	11	6	6	NUM
app01-8120	126	12	]	]	PUNCT
app01-8120	126	13	.	.	PUNCT
app01-8120	127	1	the	the	DET
app01-8120	127	2	plate	plate	NOUN
app01-8120	127	3	has	have	VERB
app01-8120	127	4	dimensions	dimension	NOUN
app01-8120	127	5	1.5	1.5	NUM
app01-8120	127	6	×	×	NOUN
app01-8120	127	7	1.5	1.5	NUM
app01-8120	127	8	m	m	NOUN
app01-8120	127	9	and	and	CCONJ
app01-8120	127	10	thickness	thickness	NOUN
app01-8120	127	11	0.02	0.02	NUM
app01-8120	127	12	m	m	NOUN
app01-8120	127	13	,	,	PUNCT
app01-8120	127	14	but	but	CCONJ
app01-8120	127	15	only	only	ADV
app01-8120	127	16	one	one	NUM
app01-8120	127	17	quarter	quarter	NOUN
app01-8120	127	18	is	be	AUX
app01-8120	127	19	modeled	model	VERB
app01-8120	127	20	due	due	ADJ
app01-8120	127	21	to	to	ADP
app01-8120	127	22	symmetry	symmetry	NOUN
app01-8120	127	23	,	,	PUNCT
app01-8120	127	24	see	see	VERB
app01-8120	127	25	figure	figure	NOUN
app01-8120	127	26	1	1	NUM
app01-8120	127	27	,	,	PUNCT
app01-8120	127	28	where	where	SCONJ
app01-8120	127	29	material	material	NOUN
app01-8120	127	30	parameters	parameter	NOUN
app01-8120	127	31	are	be	AUX
app01-8120	127	32	also	also	ADV
app01-8120	127	33	presented	present	VERB
app01-8120	127	34	.	.	PUNCT
app01-8120	128	1	the	the	DET
app01-8120	128	2	contact	contact	NOUN
app01-8120	128	3	stiffness	stiffness	NOUN
app01-8120	128	4	is	be	AUX
app01-8120	128	5	defined	define	VERB
app01-8120	128	6	as	as	ADP
app01-8120	128	7	k	k	NOUN
app01-8120	128	8	=	=	SYM
app01-8120	128	9	4	4	NUM
app01-8120	128	10	3	3	NUM
app01-8120	128	11	√	√	NOUN
app01-8120	128	12	r	r	NOUN
app01-8120	128	13	1−ν2	1−ν2	NUM
app01-8120	128	14	e	e	NOUN
app01-8120	128	15	+	+	NOUN
app01-8120	128	16	1−ν2	1−ν2	NUM
app01-8120	128	17	imp	imp	NOUN
app01-8120	128	18	eimp	eimp	NOUN
app01-8120	128	19	,	,	PUNCT
app01-8120	128	20	(	(	PUNCT
app01-8120	128	21	39	39	NUM
app01-8120	128	22	)	)	PUNCT
app01-8120	128	23	where	where	SCONJ
app01-8120	128	24	r	r	NOUN
app01-8120	128	25	=	=	NOUN
app01-8120	128	26	0.05	0.05	NUM
app01-8120	128	27	m	m	NOUN
app01-8120	128	28	is	be	AUX
app01-8120	128	29	impactor	impactor	NOUN
app01-8120	128	30	head	head	NOUN
app01-8120	128	31	radius	radius	NOUN
app01-8120	128	32	and	and	CCONJ
app01-8120	128	33	eimp	eimp	NOUN
app01-8120	128	34	=	=	SYM
app01-8120	128	35	210	210	NUM
app01-8120	128	36	gpa	gpa	NOUN
app01-8120	128	37	and	and	CCONJ
app01-8120	128	38	νimp	νimp	NOUN
app01-8120	128	39	=	=	SYM
app01-8120	128	40	0.3	0.3	NUM
app01-8120	128	41	.	.	PUNCT
app01-8120	129	1	further	further	ADJ
app01-8120	129	2	weight	weight	NOUN
app01-8120	129	3	of	of	ADP
app01-8120	129	4	impactor	impactor	NOUN
app01-8120	129	5	is	be	AUX
app01-8120	129	6	mimp	mimp	ADJ
app01-8120	129	7	=	=	NOUN
app01-8120	129	8	48.7	48.7	NUM
app01-8120	129	9	kg	kg	NOUN
app01-8120	129	10	and	and	CCONJ
app01-8120	129	11	initial	initial	ADJ
app01-8120	129	12	velocity	velocity	NOUN
app01-8120	129	13	-	-	PUNCT
app01-8120	129	14	free	free	ADJ
app01-8120	129	15	height	height	NOUN
app01-8120	129	16	of	of	ADP
app01-8120	129	17	impactor	impactor	NOUN
app01-8120	129	18	is	be	AUX
app01-8120	129	19	0.3	0.3	NUM
app01-8120	129	20	m.	m.	NOUN
app01-8120	129	21	finally	finally	ADV
app01-8120	129	22	the	the	DET
app01-8120	129	23	phase	phase	NOUN
app01-8120	129	24	-	-	PUNCT
app01-8120	129	25	field	field	NOUN
app01-8120	129	26	parameter	parameter	NOUN
app01-8120	129	27	l	l	PROPN
app01-8120	129	28	is	be	AUX
app01-8120	129	29	choosen	choosen	VERB
app01-8120	129	30	as	as	ADP
app01-8120	129	31	element	element	NOUN
app01-8120	129	32	length	length	NOUN
app01-8120	129	33	and	and	CCONJ
app01-8120	129	34	gf	gf	NOUN
app01-8120	129	35	=	=	SYM
app01-8120	129	36	(	(	PUNCT
app01-8120	129	37	8lf2	8lf2	NUM
app01-8120	129	38	t	t	NOUN
app01-8120	129	39	)	)	PUNCT
app01-8120	129	40	/(3e	/(3e	PUNCT
app01-8120	129	41	)	)	PUNCT
app01-8120	129	42	,	,	PUNCT
app01-8120	129	43	where	where	SCONJ
app01-8120	129	44	ft	ft	PROPN
app01-8120	129	45	=	=	SYM
app01-8120	129	46	55	55	NUM
app01-8120	129	47	mpa	mpa	NOUN
app01-8120	129	48	is	be	AUX
app01-8120	129	49	tensile	tensile	NOUN
app01-8120	129	50	strength	strength	NOUN
app01-8120	129	51	.	.	PUNCT
app01-8120	130	1	5	5	X
app01-8120	130	2	.	.	NOUN
app01-8120	130	3	benchmarks	benchmark	NOUN
app01-8120	130	4	phase	phase	NOUN
app01-8120	130	5	-	-	PUNCT
app01-8120	130	6	field	field	NOUN
app01-8120	130	7	damage	damage	NOUN
app01-8120	130	8	model	model	NOUN
app01-8120	130	9	requires	require	VERB
app01-8120	130	10	fine	fine	ADJ
app01-8120	130	11	mesh	mesh	NOUN
app01-8120	130	12	with	with	ADP
app01-8120	130	13	lower	low	ADJ
app01-8120	130	14	-	-	PUNCT
app01-8120	130	15	order	order	NOUN
app01-8120	130	16	elements	element	NOUN
app01-8120	130	17	rather	rather	ADV
app01-8120	130	18	than	than	ADP
app01-8120	130	19	higher	high	ADJ
app01-8120	130	20	-	-	PUNCT
app01-8120	130	21	order	order	NOUN
app01-8120	130	22	elements	element	NOUN
app01-8120	130	23	with	with	ADP
app01-8120	130	24	lower	low	ADJ
app01-8120	130	25	resolution	resolution	NOUN
app01-8120	130	26	.	.	PUNCT
app01-8120	131	1	it	it	PRON
app01-8120	131	2	is	be	AUX
app01-8120	131	3	contrary	contrary	ADJ
app01-8120	131	4	to	to	PART
app01-8120	131	5	plate	plate	VERB
app01-8120	131	6	theory	theory	NOUN
app01-8120	131	7	,	,	PUNCT
app01-8120	131	8	where	where	SCONJ
app01-8120	131	9	lower	low	ADJ
app01-8120	131	10	-	-	PUNCT
app01-8120	131	11	order	order	NOUN
app01-8120	131	12	elements	element	NOUN
app01-8120	131	13	exhibit	exhibit	VERB
app01-8120	131	14	shear	shear	NOUN
app01-8120	131	15	locking	locking	NOUN
app01-8120	131	16	and	and	CCONJ
app01-8120	131	17	must	must	AUX
app01-8120	131	18	be	be	AUX
app01-8120	131	19	somehow	somehow	ADV
app01-8120	131	20	enhanced	enhance	VERB
app01-8120	131	21	to	to	PART
app01-8120	131	22	overcome	overcome	VERB
app01-8120	131	23	this	this	DET
app01-8120	131	24	issue	issue	NOUN
app01-8120	131	25	.	.	PUNCT
app01-8120	132	1	the	the	DET
app01-8120	132	2	plate	plate	NOUN
app01-8120	132	3	element	element	NOUN
app01-8120	132	4	enrichment	enrichment	NOUN
app01-8120	132	5	leads	lead	VERB
app01-8120	132	6	to	to	ADP
app01-8120	132	7	additional	additional	ADJ
app01-8120	132	8	degrees	degree	NOUN
app01-8120	132	9	of	of	ADP
app01-8120	132	10	freedom	freedom	NOUN
app01-8120	132	11	which	which	PRON
app01-8120	132	12	reduces	reduce	VERB
app01-8120	132	13	computability	computability	NOUN
app01-8120	132	14	and	and	CCONJ
app01-8120	132	15	the	the	DET
app01-8120	132	16	ability	ability	NOUN
app01-8120	132	17	to	to	PART
app01-8120	132	18	do	do	AUX
app01-8120	132	19	repeated	repeat	VERB
app01-8120	132	20	calculations	calculation	NOUN
app01-8120	132	21	.	.	PUNCT
app01-8120	133	1	the	the	DET
app01-8120	133	2	finer	fine	ADJ
app01-8120	133	3	resolution	resolution	NOUN
app01-8120	133	4	is	be	AUX
app01-8120	133	5	more	more	ADV
app01-8120	133	6	important	important	ADJ
app01-8120	133	7	in	in	ADP
app01-8120	133	8	this	this	DET
app01-8120	133	9	analysis	analysis	NOUN
app01-8120	133	10	than	than	ADP
app01-8120	133	11	exact	exact	ADJ
app01-8120	133	12	shear	shear	NOUN
app01-8120	133	13	implementation	implementation	NOUN
app01-8120	133	14	,	,	PUNCT
app01-8120	133	15	therefore	therefore	ADV
app01-8120	133	16	suitability	suitability	NOUN
app01-8120	133	17	of	of	ADP
app01-8120	133	18	"	"	PUNCT
app01-8120	133	19	classic	classic	ADJ
app01-8120	133	20	"	"	PUNCT
app01-8120	133	21	low	low	ADJ
app01-8120	133	22	-	-	PUNCT
app01-8120	133	23	order	order	NOUN
app01-8120	133	24	plate	plate	NOUN
app01-8120	133	25	elements	element	NOUN
app01-8120	133	26	is	be	AUX
app01-8120	133	27	investigated	investigate	VERB
app01-8120	133	28	in	in	ADP
app01-8120	133	29	this	this	DET
app01-8120	133	30	benchmark	benchmark	NOUN
app01-8120	133	31	.	.	PUNCT
app01-8120	134	1	the	the	DET
app01-8120	134	2	first	first	ADJ
app01-8120	134	3	benchmark	benchmark	NOUN
app01-8120	134	4	is	be	AUX
app01-8120	134	5	behavior	behavior	NOUN
app01-8120	134	6	of	of	ADP
app01-8120	134	7	impacted	impact	VERB
app01-8120	134	8	plate	plate	NOUN
app01-8120	134	9	in	in	ADP
app01-8120	134	10	elastic	elastic	ADJ
app01-8120	134	11	regime	regime	NOUN
app01-8120	134	12	.	.	PUNCT
app01-8120	135	1	the	the	DET
app01-8120	135	2	task	task	NOUN
app01-8120	135	3	setup	setup	NOUN
app01-8120	135	4	presented	present	VERB
app01-8120	135	5	in	in	ADP
app01-8120	135	6	section	section	NOUN
app01-8120	135	7	4	4	NUM
app01-8120	135	8	is	be	AUX
app01-8120	135	9	used	use	VERB
app01-8120	135	10	and	and	CCONJ
app01-8120	135	11	the	the	DET
app01-8120	135	12	response	response	NOUN
app01-8120	135	13	is	be	AUX
app01-8120	135	14	calculated	calculate	VERB
app01-8120	135	15	in	in	ADP
app01-8120	135	16	time	time	NOUN
app01-8120	135	17	interval	interval	NOUN
app01-8120	135	18	〈	〈	PROPN
app01-8120	135	19	0	0	NUM
app01-8120	135	20	;	;	PUNCT
app01-8120	135	21	0.01	0.01	NUM
app01-8120	135	22	〉	〉	PROPN
app01-8120	135	23	s	s	NOUN
app01-8120	135	24	with	with	ADP
app01-8120	135	25	time	time	NOUN
app01-8120	135	26	step	step	NOUN
app01-8120	135	27	∆t	∆t	PROPN
app01-8120	135	28	=	=	SYM
app01-8120	135	29	4	4	NUM
app01-8120	135	30	·	·	SYM
app01-8120	135	31	10−7	10−7	NUM
app01-8120	135	32	s.	s.	PROPN
app01-8120	135	33	resolutions	resolution	NOUN
app01-8120	135	34	of	of	ADP
app01-8120	135	35	mesh	mesh	NOUN
app01-8120	135	36	50×	50×	NOUN
app01-8120	135	37	50	50	NUM
app01-8120	135	38	and	and	CCONJ
app01-8120	135	39	100×	100×	NUM
app01-8120	135	40	100	100	NUM
app01-8120	135	41	elements	element	NOUN
app01-8120	135	42	are	be	AUX
app01-8120	135	43	investigated	investigate	VERB
app01-8120	135	44	with	with	ADP
app01-8120	135	45	two	two	NUM
app01-8120	135	46	different	different	ADJ
app01-8120	135	47	element	element	NOUN
app01-8120	135	48	typologies	typology	NOUN
app01-8120	135	49	:	:	PUNCT
app01-8120	135	50	triangles	triangle	NOUN
app01-8120	135	51	and	and	CCONJ
app01-8120	135	52	squares	square	NOUN
app01-8120	135	53	.	.	PUNCT
app01-8120	136	1	the	the	DET
app01-8120	136	2	reduced	reduce	VERB
app01-8120	136	3	integration	integration	NOUN
app01-8120	136	4	is	be	AUX
app01-8120	136	5	employed	employ	VERB
app01-8120	136	6	for	for	ADP
app01-8120	136	7	shear	shear	NOUN
app01-8120	136	8	terms	term	NOUN
app01-8120	136	9	,	,	PUNCT
app01-8120	136	10	which	which	PRON
app01-8120	136	11	enhanced	enhance	VERB
app01-8120	136	12	rectangle	rectangle	NOUN
app01-8120	136	13	elements	element	NOUN
app01-8120	136	14	,	,	PUNCT
app01-8120	136	15	but	but	CCONJ
app01-8120	136	16	triangles	triangle	NOUN
app01-8120	136	17	still	still	ADV
app01-8120	136	18	locking	lock	VERB
app01-8120	136	19	.	.	PUNCT
app01-8120	137	1	the	the	DET
app01-8120	137	2	reason	reason	NOUN
app01-8120	137	3	for	for	ADP
app01-8120	137	4	not	not	PART
app01-8120	137	5	using	use	VERB
app01-8120	137	6	square	square	ADJ
app01-8120	137	7	elements	element	NOUN
app01-8120	137	8	is	be	AUX
app01-8120	137	9	because	because	SCONJ
app01-8120	137	10	they	they	PRON
app01-8120	137	11	exhibits	exhibit	VERB
app01-8120	137	12	undesirable	undesirable	ADJ
app01-8120	137	13	zero	zero	NUM
app01-8120	137	14	-	-	PUNCT
app01-8120	137	15	energy	energy	NOUN
app01-8120	137	16	modes	mode	NOUN
app01-8120	137	17	.	.	PUNCT
app01-8120	138	1	the	the	DET
app01-8120	138	2	results	result	NOUN
app01-8120	138	3	of	of	ADP
app01-8120	138	4	each	each	DET
app01-8120	138	5	case	case	NOUN
app01-8120	138	6	is	be	AUX
app01-8120	138	7	presented	present	VERB
app01-8120	138	8	in	in	ADP
app01-8120	138	9	figure	figure	NOUN
app01-8120	138	10	2	2	NUM
app01-8120	138	11	,	,	PUNCT
app01-8120	138	12	where	where	SCONJ
app01-8120	138	13	evolution	evolution	NOUN
app01-8120	138	14	of	of	ADP
app01-8120	138	15	impactor	impactor	NOUN
app01-8120	138	16	acceleration	acceleration	NOUN
app01-8120	138	17	is	be	AUX
app01-8120	138	18	plotted	plot	VERB
app01-8120	138	19	.	.	PUNCT
app01-8120	139	1	this	this	PRON
app01-8120	139	2	is	be	AUX
app01-8120	139	3	one	one	NUM
app01-8120	139	4	of	of	ADP
app01-8120	139	5	the	the	DET
app01-8120	139	6	interesting	interesting	ADJ
app01-8120	139	7	investigated	investigate	VERB
app01-8120	139	8	quantity	quantity	NOUN
app01-8120	139	9	,	,	PUNCT
app01-8120	139	10	which	which	PRON
app01-8120	139	11	can	can	AUX
app01-8120	139	12	be	be	AUX
app01-8120	139	13	experimentaly	experimentaly	PROPN
app01-8120	139	14	validated	validate	VERB
app01-8120	139	15	in	in	ADP
app01-8120	139	16	future	future	ADJ
app01-8120	139	17	research	research	NOUN
app01-8120	139	18	.	.	PUNCT
app01-8120	140	1	also	also	ADV
app01-8120	140	2	the	the	DET
app01-8120	140	3	different	different	ADJ
app01-8120	140	4	behavior	behavior	NOUN
app01-8120	140	5	of	of	ADP
app01-8120	140	6	two	two	NUM
app01-8120	140	7	cases	case	NOUN
app01-8120	140	8	stands	stand	VERB
app01-8120	140	9	out	out	ADP
app01-8120	140	10	more	more	ADJ
app01-8120	140	11	than	than	ADP
app01-8120	140	12	in	in	ADP
app01-8120	140	13	impactor	impactor	NOUN
app01-8120	140	14	displacement	displacement	ADJ
app01-8120	140	15	function	function	NOUN
app01-8120	140	16	.	.	PUNCT
app01-8120	141	1	it	it	PRON
app01-8120	141	2	is	be	AUX
app01-8120	141	3	evident	evident	ADJ
app01-8120	141	4	from	from	ADP
app01-8120	141	5	figure	figure	NOUN
app01-8120	141	6	2	2	NUM
app01-8120	141	7	that	that	DET
app01-8120	141	8	behavior	behavior	NOUN
app01-8120	141	9	is	be	AUX
app01-8120	141	10	slighly	slighly	ADV
app01-8120	141	11	different	different	ADJ
app01-8120	141	12	for	for	ADP
app01-8120	141	13	triangles	triangle	NOUN
app01-8120	141	14	in	in	ADP
app01-8120	141	15	case	case	NOUN
app01-8120	141	16	of	of	ADP
app01-8120	141	17	mesh	mesh	NOUN
app01-8120	141	18	50×	50×	NUM
app01-8120	141	19	50	50	NUM
app01-8120	141	20	,	,	PUNCT
app01-8120	141	21	but	but	CCONJ
app01-8120	141	22	both	both	DET
app01-8120	141	23	line	line	NOUN
app01-8120	141	24	are	be	AUX
app01-8120	141	25	comparably	comparably	ADV
app01-8120	141	26	the	the	DET
app01-8120	141	27	same	same	ADJ
app01-8120	141	28	for	for	ADP
app01-8120	141	29	case	case	NOUN
app01-8120	141	30	100×	100×	NUM
app01-8120	141	31	100	100	NUM
app01-8120	141	32	and	and	CCONJ
app01-8120	141	33	shear	shear	NOUN
app01-8120	141	34	locking	locking	NOUN
app01-8120	141	35	does	do	AUX
app01-8120	141	36	not	not	PART
app01-8120	141	37	cause	cause	VERB
app01-8120	141	38	significant	significant	ADJ
app01-8120	141	39	deviation	deviation	NOUN
app01-8120	141	40	.	.	PUNCT
app01-8120	142	1	this	this	DET
app01-8120	142	2	statement	statement	NOUN
app01-8120	142	3	holds	hold	VERB
app01-8120	142	4	for	for	ADP
app01-8120	142	5	given	give	VERB
app01-8120	142	6	time	time	NOUN
app01-8120	142	7	resolution	resolution	NOUN
app01-8120	142	8	and	and	CCONJ
app01-8120	142	9	fraction	fraction	NOUN
app01-8120	142	10	h	h	NOUN
app01-8120	142	11	/	/	SYM
app01-8120	142	12	l	l	NOUN
app01-8120	142	13	of	of	ADP
app01-8120	142	14	course	course	NOUN
app01-8120	142	15	.	.	PUNCT
app01-8120	143	1	nevertheless	nevertheless	ADV
app01-8120	143	2	this	this	DET
app01-8120	143	3	setup	setup	NOUN
app01-8120	143	4	follows	follow	VERB
app01-8120	143	5	from	from	ADP
app01-8120	143	6	real	real	ADJ
app01-8120	143	7	experiment	experiment	NOUN
app01-8120	143	8	and	and	CCONJ
app01-8120	143	9	we	we	PRON
app01-8120	143	10	assume	assume	VERB
app01-8120	143	11	that	that	SCONJ
app01-8120	143	12	results	result	NOUN
app01-8120	143	13	are	be	AUX
app01-8120	143	14	adequate	adequate	ADJ
app01-8120	143	15	.	.	PUNCT
app01-8120	144	1	the	the	DET
app01-8120	144	2	deflections	deflection	NOUN
app01-8120	144	3	behaves	behave	VERB
app01-8120	144	4	similarly	similarly	ADV
app01-8120	144	5	and	and	CCONJ
app01-8120	144	6	do	do	AUX
app01-8120	144	7	not	not	PART
app01-8120	144	8	suffer	suffer	VERB
app01-8120	144	9	for	for	ADP
app01-8120	144	10	larger	large	ADJ
app01-8120	144	11	deviation	deviation	NOUN
app01-8120	144	12	for	for	ADP
app01-8120	144	13	mesh	mesh	NOUN
app01-8120	144	14	100×	100×	PROPN
app01-8120	144	15	100	100	NUM
app01-8120	144	16	.	.	PUNCT
app01-8120	145	1	however	however	ADV
app01-8120	145	2	,	,	PUNCT
app01-8120	145	3	the	the	DET
app01-8120	145	4	usage	usage	NOUN
app01-8120	145	5	of	of	ADP
app01-8120	145	6	triangle	triangle	NOUN
app01-8120	145	7	elements	element	NOUN
app01-8120	145	8	exhibit	exhibit	VERB
app01-8120	145	9	parasitic	parasitic	ADJ
app01-8120	145	10	behavior	behavior	NOUN
app01-8120	145	11	in	in	ADP
app01-8120	145	12	the	the	DET
app01-8120	145	13	damaged	damage	VERB
app01-8120	145	14	state	state	NOUN
app01-8120	145	15	as	as	SCONJ
app01-8120	145	16	is	be	AUX
app01-8120	145	17	presented	present	VERB
app01-8120	145	18	in	in	ADP
app01-8120	145	19	second	second	ADJ
app01-8120	145	20	benchmark	benchmark	NOUN
app01-8120	145	21	.	.	PUNCT
app01-8120	146	1	the	the	DET
app01-8120	146	2	task	task	NOUN
app01-8120	146	3	is	be	AUX
app01-8120	146	4	the	the	DET
app01-8120	146	5	same	same	ADJ
app01-8120	146	6	as	as	ADP
app01-8120	146	7	in	in	ADP
app01-8120	146	8	previous	previous	ADJ
app01-8120	146	9	benchmark	benchmark	NOUN
app01-8120	146	10	,	,	PUNCT
app01-8120	146	11	but	but	CCONJ
app01-8120	146	12	initial	initial	ADJ
app01-8120	146	13	crack	crack	NOUN
app01-8120	146	14	is	be	AUX
app01-8120	146	15	incorporated	incorporate	VERB
app01-8120	146	16	101	101	NUM
app01-8120	146	17	jaroslav	jaroslav	PROPN
app01-8120	146	18	schmidt	schmidt	PROPN
app01-8120	146	19	,	,	PUNCT
app01-8120	146	20	tomáš	tomáš	PROPN
app01-8120	146	21	janda	janda	PROPN
app01-8120	146	22	acta	acta	PROPN
app01-8120	146	23	polytechnica	polytechnica	PROPN
app01-8120	146	24	ctu	ctu	NOUN
app01-8120	146	25	proceedings	proceeding	NOUN
app01-8120	146	26	0	0	NUM
app01-8120	146	27	0.2	0.2	NUM
app01-8120	146	28	0.4	0.4	NUM
app01-8120	146	29	0.6	0.6	NUM
app01-8120	146	30	0.8	0.8	NUM
app01-8120	146	31	1	1	NUM
app01-8120	146	32	·	·	SYM
app01-8120	146	33	10−2	10−2	NUM
app01-8120	146	34	−600	−600	NOUN
app01-8120	146	35	−400	−400	NOUN
app01-8120	146	36	−200	−200	PROPN
app01-8120	147	1	0	0	NUM
app01-8120	147	2	time	time	NOUN
app01-8120	147	3	t	t	PROPN
app01-8120	148	1	[	[	X
app01-8120	148	2	s	s	X
app01-8120	148	3	]	]	X
app01-8120	148	4	i	i	PRON
app01-8120	148	5	m	m	VERB
app01-8120	148	6	p.	p.	NOUN
app01-8120	148	7	ac	ac	PROPN
app01-8120	148	8	ce	ce	PROPN
app01-8120	148	9	le	le	PROPN
app01-8120	148	10	ra	ra	PROPN
app01-8120	148	11	tio	tio	PROPN
app01-8120	148	12	n	n	PROPN
app01-8120	149	1	[	[	X
app01-8120	149	2	m	m	X
app01-8120	149	3	/s	/s	X
app01-8120	149	4	2	2	NUM
app01-8120	149	5	]	]	SYM
app01-8120	149	6	50x50	50x50	NUM
app01-8120	149	7	triangles	triangle	NOUN
app01-8120	149	8	rectangles	rectangle	VERB
app01-8120	149	9	0	0	NUM
app01-8120	149	10	0.2	0.2	NUM
app01-8120	149	11	0.4	0.4	NUM
app01-8120	149	12	0.6	0.6	NUM
app01-8120	149	13	0.8	0.8	NUM
app01-8120	149	14	1	1	NUM
app01-8120	149	15	·	·	SYM
app01-8120	149	16	10−2	10−2	NUM
app01-8120	149	17	−600	−600	NOUN
app01-8120	149	18	−400	−400	NOUN
app01-8120	149	19	−200	−200	PROPN
app01-8120	149	20	0	0	NUM
app01-8120	149	21	time	time	NOUN
app01-8120	149	22	t	t	PROPN
app01-8120	150	1	[	[	X
app01-8120	150	2	s	s	X
app01-8120	150	3	]	]	X
app01-8120	150	4	100x100	100x100	NUM
app01-8120	150	5	triangles	triangle	NOUN
app01-8120	150	6	rectangles	rectangle	NOUN
app01-8120	150	7	figure	figure	VERB
app01-8120	150	8	2	2	NUM
app01-8120	150	9	.	.	PUNCT
app01-8120	150	10	evolution	evolution	NOUN
app01-8120	150	11	of	of	ADP
app01-8120	150	12	impactor	impactor	NOUN
app01-8120	150	13	acceleration	acceleration	NOUN
app01-8120	150	14	for	for	ADP
app01-8120	150	15	triangles	triangle	NOUN
app01-8120	150	16	(	(	PUNCT
app01-8120	150	17	solid	solid	ADJ
app01-8120	150	18	)	)	PUNCT
app01-8120	150	19	or	or	CCONJ
app01-8120	150	20	squares	square	NOUN
app01-8120	150	21	(	(	PUNCT
app01-8120	150	22	dashed	dash	VERB
app01-8120	150	23	)	)	PUNCT
app01-8120	150	24	mesh	mesh	NOUN
app01-8120	150	25	plotted	plot	VERB
app01-8120	150	26	for	for	ADP
app01-8120	150	27	resolution	resolution	NOUN
app01-8120	150	28	50×	50×	NUM
app01-8120	150	29	50	50	NUM
app01-8120	150	30	(	(	PUNCT
app01-8120	150	31	red	red	ADJ
app01-8120	150	32	)	)	PUNCT
app01-8120	150	33	and	and	CCONJ
app01-8120	150	34	100×	100×	NUM
app01-8120	150	35	100	100	NUM
app01-8120	150	36	(	(	PUNCT
app01-8120	150	37	blue	blue	ADJ
app01-8120	150	38	)	)	PUNCT
app01-8120	150	39	.	.	PUNCT
app01-8120	151	1	0	0	NUM
app01-8120	152	1	0.2	0.2	NUM
app01-8120	152	2	0.4	0.4	NUM
app01-8120	152	3	0.6	0.6	NUM
app01-8120	152	4	0.8	0.8	NUM
app01-8120	152	5	0	0	NUM
app01-8120	152	6	2	2	NUM
app01-8120	152	7	4	4	NUM
app01-8120	152	8	6	6	NUM
app01-8120	152	9	·	·	SYM
app01-8120	152	10	10−3	10−3	NUM
app01-8120	152	11	x	x	SYM
app01-8120	152	12	coordinate	coordinate	NOUN
app01-8120	152	13	[	[	X
app01-8120	152	14	m	m	X
app01-8120	152	15	]	]	X
app01-8120	153	1	d	d	X
app01-8120	153	2	efl	efl	PROPN
app01-8120	153	3	ec	ec	PROPN
app01-8120	153	4	tin	tin	PROPN
app01-8120	153	5	[	[	X
app01-8120	153	6	m	m	X
app01-8120	153	7	]	]	PUNCT
app01-8120	153	8	rectangles	rectangle	VERB
app01-8120	153	9	triangles	triangle	NOUN
app01-8120	153	10	triangles	triangle	NOUN
app01-8120	153	11	-	-	PUNCT
app01-8120	153	12	full	full	ADJ
app01-8120	153	13	figure	figure	NOUN
app01-8120	153	14	3	3	NUM
app01-8120	153	15	.	.	PUNCT
app01-8120	153	16	deflection	deflection	NOUN
app01-8120	153	17	distribution	distribution	NOUN
app01-8120	153	18	on	on	ADP
app01-8120	153	19	line	line	NOUN
app01-8120	153	20	{	{	PUNCT
app01-8120	153	21	(	(	PUNCT
app01-8120	153	22	x	x	NOUN
app01-8120	153	23	,	,	PUNCT
app01-8120	153	24	y)|y	y)|y	NOUN
app01-8120	153	25	=	=	NOUN
app01-8120	153	26	0.75	0.75	NUM
app01-8120	153	27	}	}	PUNCT
app01-8120	153	28	.	.	PUNCT
app01-8120	154	1	on	on	ADP
app01-8120	154	2	plate	plate	NOUN
app01-8120	154	3	in	in	ADP
app01-8120	154	4	this	this	DET
app01-8120	154	5	case	case	NOUN
app01-8120	154	6	.	.	PUNCT
app01-8120	155	1	the	the	DET
app01-8120	155	2	initial	initial	ADJ
app01-8120	155	3	crack	crack	NOUN
app01-8120	155	4	is	be	AUX
app01-8120	155	5	implemented	implement	VERB
app01-8120	155	6	through	through	ADP
app01-8120	155	7	dirichlet	dirichlet	PROPN
app01-8120	155	8	boundary	boundary	PROPN
app01-8120	155	9	condition	condition	NOUN
app01-8120	155	10	d	d	NOUN
app01-8120	155	11	=	=	NOUN
app01-8120	155	12	0.99	0.99	NUM
app01-8120	155	13	on	on	ADP
app01-8120	155	14	the	the	DET
app01-8120	155	15	line	line	NOUN
app01-8120	155	16	{	{	PUNCT
app01-8120	155	17	(	(	PUNCT
app01-8120	155	18	x	x	NOUN
app01-8120	155	19	,	,	PUNCT
app01-8120	155	20	y)|ζ	y)|ζ	X
app01-8120	155	21	>	>	X
app01-8120	155	22	|x−l1/4|	|x−l1/4|	NOUN
app01-8120	155	23	}	}	PUNCT
app01-8120	155	24	,	,	PUNCT
app01-8120	155	25	where	where	SCONJ
app01-8120	155	26	ζ	ζ	NOUN
app01-8120	155	27	parameter	parameter	NOUN
app01-8120	155	28	is	be	AUX
app01-8120	155	29	chosen	choose	VERB
app01-8120	155	30	such	such	ADJ
app01-8120	155	31	that	that	SCONJ
app01-8120	155	32	the	the	DET
app01-8120	155	33	damage	damage	NOUN
app01-8120	155	34	d	d	NOUN
app01-8120	155	35	=	=	NOUN
app01-8120	155	36	0.99	0.99	NUM
app01-8120	155	37	is	be	AUX
app01-8120	155	38	enforced	enforce	VERB
app01-8120	155	39	at	at	ADP
app01-8120	155	40	least	least	ADJ
app01-8120	155	41	over	over	ADP
app01-8120	155	42	whole	whole	ADJ
app01-8120	155	43	width	width	NOUN
app01-8120	155	44	of	of	ADP
app01-8120	155	45	one	one	NUM
app01-8120	155	46	element	element	NOUN
app01-8120	155	47	.	.	PUNCT
app01-8120	156	1	the	the	DET
app01-8120	156	2	simplified	simplified	ADJ
app01-8120	156	3	but	but	CCONJ
app01-8120	156	4	still	still	ADV
app01-8120	156	5	sufficient	sufficient	ADJ
app01-8120	156	6	analysis	analysis	NOUN
app01-8120	156	7	is	be	AUX
app01-8120	156	8	performed	perform	VERB
app01-8120	156	9	in	in	ADP
app01-8120	156	10	this	this	DET
app01-8120	156	11	benchmark	benchmark	NOUN
app01-8120	156	12	using	use	VERB
app01-8120	156	13	so	so	ADV
app01-8120	156	14	called	call	VERB
app01-8120	156	15	hybrid	hybrid	ADJ
app01-8120	156	16	approach	approach	NOUN
app01-8120	156	17	[	[	X
app01-8120	156	18	7	7	X
app01-8120	156	19	]	]	PUNCT
app01-8120	156	20	for	for	ADP
app01-8120	156	21	phase	phase	NOUN
app01-8120	156	22	-	-	PUNCT
app01-8120	156	23	field	field	NOUN
app01-8120	156	24	.	.	PUNCT
app01-8120	157	1	furthermore	furthermore	ADV
app01-8120	157	2	,	,	PUNCT
app01-8120	157	3	the	the	DET
app01-8120	157	4	damage	damage	NOUN
app01-8120	157	5	d	d	NOUN
app01-8120	157	6	and	and	CCONJ
app01-8120	157	7	updated	update	VERB
app01-8120	157	8	matrix	matrix	NOUN
app01-8120	157	9	k̃	k̃	PROPN
app01-8120	157	10	from	from	ADP
app01-8120	157	11	(	(	PUNCT
app01-8120	157	12	36	36	NUM
app01-8120	157	13	)	)	PUNCT
app01-8120	157	14	is	be	AUX
app01-8120	157	15	calculated	calculate	VERB
app01-8120	157	16	in	in	ADP
app01-8120	157	17	each	each	DET
app01-8120	157	18	third	third	ADJ
app01-8120	157	19	step	step	NOUN
app01-8120	157	20	to	to	PART
app01-8120	157	21	speed	speed	VERB
app01-8120	157	22	up	up	ADP
app01-8120	157	23	analysis	analysis	NOUN
app01-8120	157	24	.	.	PUNCT
app01-8120	158	1	this	this	DET
app01-8120	158	2	approach	approach	NOUN
app01-8120	158	3	allows	allow	VERB
app01-8120	158	4	some	some	DET
app01-8120	158	5	minor	minor	ADJ
app01-8120	158	6	wave	wave	NOUN
app01-8120	158	7	propagation	propagation	NOUN
app01-8120	158	8	through	through	ADP
app01-8120	158	9	crack	crack	NOUN
app01-8120	158	10	,	,	PUNCT
app01-8120	158	11	but	but	CCONJ
app01-8120	158	12	wave	wave	NOUN
app01-8120	158	13	dispersion	dispersion	NOUN
app01-8120	158	14	through	through	ADP
app01-8120	158	15	crack	crack	NOUN
app01-8120	158	16	is	be	AUX
app01-8120	158	17	still	still	ADV
app01-8120	158	18	significant	significant	ADJ
app01-8120	158	19	.	.	PUNCT
app01-8120	159	1	the	the	DET
app01-8120	159	2	result	result	NOUN
app01-8120	159	3	also	also	ADV
app01-8120	159	4	depends	depend	VERB
app01-8120	159	5	on	on	ADP
app01-8120	159	6	the	the	DET
app01-8120	159	7	parameter	parameter	NOUN
app01-8120	159	8	ξ	ξ	PROPN
app01-8120	159	9	from	from	ADP
app01-8120	159	10	(	(	PUNCT
app01-8120	159	11	19)-(20	19)-(20	NUM
app01-8120	159	12	)	)	PUNCT
app01-8120	159	13	.	.	PUNCT
app01-8120	160	1	first	first	ADV
app01-8120	160	2	of	of	ADP
app01-8120	160	3	all	all	PRON
app01-8120	160	4	,	,	PUNCT
app01-8120	160	5	let	let	VERB
app01-8120	160	6	us	we	PRON
app01-8120	160	7	investigate	investigate	VERB
app01-8120	160	8	case	case	NOUN
app01-8120	160	9	ξ	ξ	X
app01-8120	160	10	=	=	SYM
app01-8120	160	11	0	0	NUM
app01-8120	160	12	,	,	PUNCT
app01-8120	160	13	therefore	therefore	ADV
app01-8120	160	14	shear	shear	NOUN
app01-8120	160	15	is	be	AUX
app01-8120	160	16	not	not	PART
app01-8120	160	17	degraded	degrade	VERB
app01-8120	160	18	.	.	PUNCT
app01-8120	161	1	the	the	DET
app01-8120	161	2	results	result	NOUN
app01-8120	161	3	are	be	AUX
app01-8120	161	4	plotted	plot	VERB
app01-8120	161	5	by	by	ADP
app01-8120	161	6	solid	solid	ADJ
app01-8120	161	7	lines	line	NOUN
app01-8120	161	8	in	in	ADP
app01-8120	161	9	figure	figure	NOUN
app01-8120	161	10	3	3	NUM
app01-8120	161	11	,	,	PUNCT
app01-8120	161	12	where	where	SCONJ
app01-8120	161	13	plate	plate	NOUN
app01-8120	161	14	deflection	deflection	NOUN
app01-8120	161	15	along	along	ADP
app01-8120	161	16	line	line	NOUN
app01-8120	161	17	{	{	PUNCT
app01-8120	161	18	(	(	PUNCT
app01-8120	161	19	x	x	X
app01-8120	161	20	,	,	PUNCT
app01-8120	161	21	y)|y=0.75	y)|y=0.75	NOUN
app01-8120	161	22	}	}	PUNCT
app01-8120	161	23	is	be	AUX
app01-8120	161	24	plotted	plot	VERB
app01-8120	161	25	in	in	ADP
app01-8120	161	26	time	time	NOUN
app01-8120	161	27	instant	instant	NOUN
app01-8120	161	28	t	t	NOUN
app01-8120	161	29	=	=	SYM
app01-8120	161	30	0.003	0.003	NUM
app01-8120	161	31	s.	s.	PROPN
app01-8120	161	32	the	the	DET
app01-8120	161	33	square	square	ADJ
app01-8120	161	34	-	-	PUNCT
app01-8120	161	35	topology	topology	NOUN
app01-8120	161	36	mesh	mesh	NOUN
app01-8120	161	37	m1	m1	PROPN
app01-8120	161	38	m2	m2	PROPN
app01-8120	161	39	m3	m3	PROPN
app01-8120	161	40	figure	figure	NOUN
app01-8120	161	41	4	4	NUM
app01-8120	161	42	.	.	NOUN
app01-8120	161	43	three	three	NUM
app01-8120	161	44	investigated	investigate	VERB
app01-8120	161	45	meshes	mesh	NOUN
app01-8120	161	46	.	.	PUNCT
app01-8120	162	1	behaves	behave	VERB
app01-8120	162	2	reasonable	reasonable	ADJ
app01-8120	162	3	,	,	PUNCT
app01-8120	162	4	but	but	CCONJ
app01-8120	162	5	triangle	triangle	NOUN
app01-8120	162	6	-	-	PUNCT
app01-8120	162	7	topology	topology	NOUN
app01-8120	162	8	mesh	mesh	NOUN
app01-8120	162	9	does	do	AUX
app01-8120	162	10	not	not	PART
app01-8120	162	11	stop	stop	VERB
app01-8120	162	12	the	the	DET
app01-8120	162	13	wave	wave	NOUN
app01-8120	162	14	on	on	ADP
app01-8120	162	15	crack	crack	NOUN
app01-8120	162	16	interface	interface	NOUN
app01-8120	162	17	.	.	PUNCT
app01-8120	163	1	it	it	PRON
app01-8120	163	2	is	be	AUX
app01-8120	163	3	caused	cause	VERB
app01-8120	163	4	probably	probably	ADV
app01-8120	163	5	due	due	ADJ
app01-8120	163	6	to	to	ADP
app01-8120	163	7	element	element	NOUN
app01-8120	163	8	locking	locking	NOUN
app01-8120	163	9	.	.	PUNCT
app01-8120	164	1	on	on	ADP
app01-8120	164	2	the	the	DET
app01-8120	164	3	other	other	ADJ
app01-8120	164	4	hand	hand	NOUN
app01-8120	164	5	,	,	PUNCT
app01-8120	164	6	triangles	triangle	NOUN
app01-8120	164	7	with	with	ADP
app01-8120	164	8	ξ	ξ	PROPN
app01-8120	164	9	=	=	SYM
app01-8120	164	10	1	1	NUM
app01-8120	164	11	behaves	behave	VERB
app01-8120	164	12	almost	almost	ADV
app01-8120	164	13	like	like	ADP
app01-8120	164	14	squares	square	NOUN
app01-8120	164	15	with	with	ADP
app01-8120	164	16	ξ	ξ	PROPN
app01-8120	164	17	=	=	SYM
app01-8120	164	18	0	0	NUM
app01-8120	164	19	as	as	ADP
app01-8120	164	20	a	a	DET
app01-8120	164	21	result	result	NOUN
app01-8120	164	22	of	of	ADP
app01-8120	164	23	shear	shear	NOUN
app01-8120	164	24	degradation	degradation	NOUN
app01-8120	164	25	by	by	ADP
app01-8120	164	26	damage	damage	NOUN
app01-8120	164	27	.	.	PUNCT
app01-8120	165	1	it	it	PRON
app01-8120	165	2	significantly	significantly	ADV
app01-8120	165	3	reduces	reduce	VERB
app01-8120	165	4	the	the	DET
app01-8120	165	5	shear	shear	NOUN
app01-8120	165	6	locking	locking	NOUN
app01-8120	165	7	artifacts	artifact	NOUN
app01-8120	165	8	.	.	PUNCT
app01-8120	166	1	based	base	VERB
app01-8120	166	2	on	on	ADP
app01-8120	166	3	these	these	DET
app01-8120	166	4	conclusions	conclusion	NOUN
app01-8120	166	5	,	,	PUNCT
app01-8120	166	6	the	the	DET
app01-8120	166	7	triangle	triangle	NOUN
app01-8120	166	8	-	-	PUNCT
app01-8120	166	9	based	base	VERB
app01-8120	166	10	mesh	mesh	NOUN
app01-8120	166	11	with	with	ADP
app01-8120	166	12	shear	shear	NOUN
app01-8120	166	13	reduced	reduce	VERB
app01-8120	166	14	by	by	ADP
app01-8120	166	15	degradation	degradation	NOUN
app01-8120	166	16	function	function	NOUN
app01-8120	166	17	is	be	AUX
app01-8120	166	18	used	use	VERB
app01-8120	166	19	in	in	ADP
app01-8120	166	20	the	the	DET
app01-8120	166	21	next	next	ADJ
app01-8120	166	22	section	section	NOUN
app01-8120	166	23	.	.	PUNCT
app01-8120	167	1	6	6	X
app01-8120	167	2	.	.	X
app01-8120	167	3	results	result	VERB
app01-8120	167	4	the	the	DET
app01-8120	167	5	calculations	calculation	NOUN
app01-8120	167	6	are	be	AUX
app01-8120	167	7	time	time	NOUN
app01-8120	167	8	-	-	PUNCT
app01-8120	167	9	consuming	consume	VERB
app01-8120	167	10	and	and	CCONJ
app01-8120	167	11	therefore	therefore	ADV
app01-8120	167	12	only	only	ADV
app01-8120	167	13	preliminary	preliminary	ADJ
app01-8120	167	14	results	result	NOUN
app01-8120	167	15	of	of	ADP
app01-8120	167	16	model	model	NOUN
app01-8120	167	17	p	p	NOUN
app01-8120	167	18	-	-	PUNCT
app01-8120	167	19	vd	vd	NOUN
app01-8120	167	20	are	be	AUX
app01-8120	167	21	presented	present	VERB
app01-8120	167	22	in	in	ADP
app01-8120	167	23	this	this	DET
app01-8120	167	24	contribution	contribution	NOUN
app01-8120	167	25	.	.	PUNCT
app01-8120	168	1	the	the	DET
app01-8120	168	2	model	model	NOUN
app01-8120	168	3	is	be	AUX
app01-8120	168	4	still	still	ADV
app01-8120	168	5	under	under	ADP
app01-8120	168	6	investigation	investigation	NOUN
app01-8120	168	7	and	and	CCONJ
app01-8120	168	8	there	there	PRON
app01-8120	168	9	are	be	VERB
app01-8120	168	10	still	still	ADV
app01-8120	168	11	many	many	ADJ
app01-8120	168	12	unresolved	unresolved	ADJ
app01-8120	168	13	issues	issue	NOUN
app01-8120	168	14	.	.	PUNCT
app01-8120	169	1	the	the	DET
app01-8120	169	2	same	same	ADJ
app01-8120	169	3	setup	setup	NOUN
app01-8120	169	4	,	,	PUNCT
app01-8120	169	5	defined	define	VERB
app01-8120	169	6	in	in	ADP
app01-8120	169	7	section	section	NOUN
app01-8120	169	8	4	4	NUM
app01-8120	169	9	,	,	PUNCT
app01-8120	169	10	is	be	AUX
app01-8120	169	11	used	use	VERB
app01-8120	169	12	,	,	PUNCT
app01-8120	169	13	i.e.	i.e.	X
app01-8120	169	14	the	the	DET
app01-8120	169	15	steel	steel	NOUN
app01-8120	169	16	impactor	impactor	NOUN
app01-8120	169	17	hit	hit	VERB
app01-8120	169	18	the	the	DET
app01-8120	169	19	thin	thin	ADJ
app01-8120	169	20	glass	glass	NOUN
app01-8120	169	21	plate	plate	NOUN
app01-8120	169	22	.	.	PUNCT
app01-8120	170	1	three	three	NUM
app01-8120	170	2	different	different	ADJ
app01-8120	170	3	meshes	mesh	NOUN
app01-8120	170	4	m1	m1	PROPN
app01-8120	170	5	,	,	PUNCT
app01-8120	170	6	m2	m2	PROPN
app01-8120	170	7	and	and	CCONJ
app01-8120	170	8	m3	m3	PROPN
app01-8120	170	9	are	be	AUX
app01-8120	170	10	tested	test	VERB
app01-8120	170	11	to	to	PART
app01-8120	170	12	detect	detect	VERB
app01-8120	170	13	possible	possible	ADJ
app01-8120	170	14	mesh	mesh	NOUN
app01-8120	170	15	-	-	PUNCT
app01-8120	170	16	dependency	dependency	NOUN
app01-8120	170	17	,	,	PUNCT
app01-8120	170	18	see	see	VERB
app01-8120	170	19	figure	figure	NOUN
app01-8120	170	20	4	4	NUM
app01-8120	170	21	.	.	PUNCT
app01-8120	171	1	the	the	DET
app01-8120	171	2	model	model	NOUN
app01-8120	171	3	with	with	ADP
app01-8120	171	4	fully	fully	ADV
app01-8120	171	5	degraded	degraded	ADJ
app01-8120	171	6	kinematic	kinematic	ADJ
app01-8120	171	7	variables	variable	NOUN
app01-8120	171	8	,	,	PUNCT
app01-8120	171	9	i.e.	i.e.	X
app01-8120	171	10	ξ	ξ	X
app01-8120	171	11	=	=	SYM
app01-8120	171	12	1.0	1.0	NUM
app01-8120	171	13	,	,	PUNCT
app01-8120	171	14	kres	kres	PROPN
app01-8120	171	15	=	=	SYM
app01-8120	171	16	ks	ks	NOUN
app01-8120	171	17	res	re	NOUN
app01-8120	171	18	=	=	SYM
app01-8120	171	19	0.0	0.0	NUM
app01-8120	171	20	,	,	PUNCT
app01-8120	171	21	does	do	AUX
app01-8120	171	22	not	not	PART
app01-8120	171	23	behave	behave	VERB
app01-8120	171	24	correctly	correctly	ADV
app01-8120	171	25	.	.	PUNCT
app01-8120	172	1	the	the	DET
app01-8120	172	2	impactor	impactor	NOUN
app01-8120	172	3	hit	hit	VERB
app01-8120	172	4	the	the	DET
app01-8120	172	5	plate	plate	NOUN
app01-8120	172	6	causing	cause	VERB
app01-8120	172	7	damage	damage	NOUN
app01-8120	172	8	localization	localization	NOUN
app01-8120	172	9	under	under	ADP
app01-8120	172	10	impactor	impactor	NOUN
app01-8120	172	11	.	.	PUNCT
app01-8120	173	1	the	the	DET
app01-8120	173	2	plate	plate	NOUN
app01-8120	173	3	has	have	VERB
app01-8120	173	4	zero	zero	NUM
app01-8120	173	5	stiffness	stiffness	NOUN
app01-8120	173	6	and	and	CCONJ
app01-8120	173	7	impactor	impactor	NOUN
app01-8120	173	8	flies	fly	VERB
app01-8120	173	9	through	through	ADP
app01-8120	173	10	fully	fully	ADV
app01-8120	173	11	damaged	damage	VERB
app01-8120	173	12	elements	element	NOUN
app01-8120	173	13	and	and	CCONJ
app01-8120	173	14	no	no	ADV
app01-8120	173	15	longer	long	ADV
app01-8120	173	16	influences	influence	VERB
app01-8120	173	17	the	the	DET
app01-8120	173	18	rest	rest	NOUN
app01-8120	173	19	of	of	ADP
app01-8120	173	20	plate	plate	NOUN
app01-8120	173	21	.	.	PUNCT
app01-8120	174	1	as	as	ADP
app01-8120	174	2	a	a	DET
app01-8120	174	3	result	result	NOUN
app01-8120	174	4	,	,	PUNCT
app01-8120	174	5	the	the	DET
app01-8120	174	6	cracks	crack	NOUN
app01-8120	174	7	are	be	AUX
app01-8120	174	8	not	not	PART
app01-8120	174	9	evolving	evolve	VERB
app01-8120	174	10	further	far	ADV
app01-8120	174	11	.	.	PUNCT
app01-8120	175	1	this	this	DET
app01-8120	175	2	behavior	behavior	NOUN
app01-8120	175	3	is	be	AUX
app01-8120	175	4	illustrated	illustrate	VERB
app01-8120	175	5	in	in	ADP
app01-8120	175	6	figure	figure	NOUN
app01-8120	175	7	5	5	NUM
app01-8120	175	8	by	by	ADP
app01-8120	175	9	solid	solid	ADJ
app01-8120	175	10	line	line	NOUN
app01-8120	175	11	,	,	PUNCT
app01-8120	175	12	where	where	SCONJ
app01-8120	175	13	again	again	ADV
app01-8120	175	14	the	the	DET
app01-8120	175	15	distribution	distribution	NOUN
app01-8120	175	16	of	of	ADP
app01-8120	175	17	plate	plate	NOUN
app01-8120	175	18	deflection	deflection	NOUN
app01-8120	175	19	along	along	ADP
app01-8120	175	20	{	{	PUNCT
app01-8120	175	21	(	(	PUNCT
app01-8120	175	22	x	x	NOUN
app01-8120	175	23	,	,	PUNCT
app01-8120	175	24	y)|y	y)|y	NOUN
app01-8120	175	25	=	=	NOUN
app01-8120	175	26	0.75	0.75	NUM
app01-8120	175	27	}	}	PUNCT
app01-8120	175	28	102	102	NUM
app01-8120	175	29	vol	vol	NOUN
app01-8120	175	30	.	.	PUNCT
app01-8120	176	1	34/2022	34/2022	NUM
app01-8120	176	2	phase	phase	NOUN
app01-8120	176	3	-	-	PUNCT
app01-8120	176	4	field	field	NOUN
app01-8120	176	5	damage	damage	NOUN
app01-8120	176	6	of	of	ADP
app01-8120	176	7	laminated	laminated	ADJ
app01-8120	176	8	glass	glass	NOUN
app01-8120	176	9	in	in	ADP
app01-8120	176	10	explicit	explicit	ADJ
app01-8120	176	11	dynamics	dynamic	NOUN
app01-8120	176	12	0	0	NUM
app01-8120	176	13	0.2	0.2	NUM
app01-8120	176	14	0.4	0.4	NUM
app01-8120	176	15	0.6	0.6	NUM
app01-8120	176	16	0.8	0.8	NUM
app01-8120	176	17	0	0	NUM
app01-8120	176	18	1	1	NUM
app01-8120	176	19	2	2	NUM
app01-8120	176	20	3	3	NUM
app01-8120	176	21	·	·	SYM
app01-8120	176	22	10−3	10−3	NUM
app01-8120	176	23	x	x	SYM
app01-8120	176	24	coordinate	coordinate	NOUN
app01-8120	177	1	[	[	X
app01-8120	178	1	m	m	X
app01-8120	178	2	]	]	X
app01-8120	178	3	d	d	X
app01-8120	178	4	efl	efl	PROPN
app01-8120	178	5	ec	ec	PROPN
app01-8120	178	6	tin	tin	PROPN
app01-8120	179	1	[	[	X
app01-8120	179	2	m	m	X
app01-8120	179	3	]	]	X
app01-8120	179	4	ks	ks	NOUN
app01-8120	179	5	res	re	NOUN
app01-8120	179	6	=	=	SYM
app01-8120	179	7	0.0	0.0	NUM
app01-8120	179	8	ks	ks	NOUN
app01-8120	179	9	res	re	NOUN
app01-8120	179	10	=	=	NOUN
app01-8120	179	11	0.05	0.05	NUM
app01-8120	179	12	figure	figure	NOUN
app01-8120	179	13	5	5	NUM
app01-8120	179	14	.	.	PUNCT
app01-8120	180	1	deflection	deflection	NOUN
app01-8120	180	2	distribution	distribution	NOUN
app01-8120	180	3	on	on	ADP
app01-8120	180	4	line	line	NOUN
app01-8120	180	5	{	{	PUNCT
app01-8120	180	6	(	(	PUNCT
app01-8120	180	7	x	x	NOUN
app01-8120	180	8	,	,	PUNCT
app01-8120	180	9	y)|y	y)|y	NOUN
app01-8120	180	10	=	=	NOUN
app01-8120	180	11	0.75	0.75	NUM
app01-8120	180	12	}	}	PUNCT
app01-8120	180	13	.	.	PUNCT
app01-8120	181	1	(	(	PUNCT
app01-8120	181	2	a	a	X
app01-8120	181	3	)	)	PUNCT
app01-8120	181	4	(	(	PUNCT
app01-8120	181	5	b	b	X
app01-8120	181	6	)	)	PUNCT
app01-8120	181	7	(	(	PUNCT
app01-8120	181	8	c	c	X
app01-8120	181	9	)	)	PUNCT
app01-8120	181	10	(	(	PUNCT
app01-8120	181	11	d	d	X
app01-8120	181	12	)	)	PUNCT
app01-8120	181	13	figure	figure	NOUN
app01-8120	181	14	6	6	NUM
app01-8120	181	15	.	.	PUNCT
app01-8120	182	1	damage	damage	NOUN
app01-8120	182	2	distribution	distribution	NOUN
app01-8120	182	3	on	on	ADP
app01-8120	182	4	meshes	mesh	NOUN
app01-8120	182	5	m1	m1	PROPN
app01-8120	182	6	(	(	PUNCT
app01-8120	182	7	a	a	PRON
app01-8120	182	8	,	,	PUNCT
app01-8120	182	9	c	c	NOUN
app01-8120	182	10	)	)	PUNCT
app01-8120	182	11	and	and	CCONJ
app01-8120	182	12	m2	m2	PROPN
app01-8120	182	13	(	(	PUNCT
app01-8120	182	14	b	b	PROPN
app01-8120	182	15	,	,	PUNCT
app01-8120	182	16	d	d	NOUN
app01-8120	182	17	)	)	PUNCT
app01-8120	182	18	for	for	ADP
app01-8120	182	19	resolution	resolution	NOUN
app01-8120	182	20	50	50	NUM
app01-8120	182	21	×	×	NOUN
app01-8120	182	22	50	50	NUM
app01-8120	182	23	(	(	PUNCT
app01-8120	182	24	a	a	DET
app01-8120	182	25	,	,	PUNCT
app01-8120	182	26	b	b	NOUN
app01-8120	182	27	)	)	PUNCT
app01-8120	182	28	and	and	CCONJ
app01-8120	182	29	100×	100×	NUM
app01-8120	182	30	100	100	NUM
app01-8120	182	31	(	(	PUNCT
app01-8120	182	32	c	c	X
app01-8120	182	33	,	,	PUNCT
app01-8120	182	34	d	d	NOUN
app01-8120	182	35	)	)	PUNCT
app01-8120	182	36	.	.	PUNCT
app01-8120	183	1	the	the	DET
app01-8120	183	2	blue	blue	NOUN
app01-8120	183	3	represents	represent	VERB
app01-8120	183	4	intact	intact	ADJ
app01-8120	183	5	material	material	NOUN
app01-8120	183	6	whereas	whereas	SCONJ
app01-8120	183	7	red	red	ADJ
app01-8120	183	8	represents	represent	VERB
app01-8120	183	9	d	d	X
app01-8120	183	10	close	close	ADV
app01-8120	183	11	to	to	PART
app01-8120	183	12	1	1	NUM
app01-8120	183	13	.	.	PUNCT
app01-8120	184	1	and	and	CCONJ
app01-8120	184	2	in	in	ADP
app01-8120	184	3	time	time	NOUN
app01-8120	184	4	t	t	NOUN
app01-8120	184	5	=	=	SYM
app01-8120	184	6	1.4	1.4	NUM
app01-8120	184	7	ms	ms	NOUN
app01-8120	184	8	is	be	AUX
app01-8120	184	9	plotted	plot	VERB
app01-8120	184	10	.	.	PUNCT
app01-8120	185	1	the	the	DET
app01-8120	185	2	example	example	NOUN
app01-8120	185	3	is	be	AUX
app01-8120	185	4	evaluated	evaluate	VERB
app01-8120	185	5	on	on	ADP
app01-8120	185	6	mesh	mesh	PROPN
app01-8120	185	7	m3	m3	PROPN
app01-8120	185	8	.	.	PUNCT
app01-8120	186	1	the	the	DET
app01-8120	186	2	sort	sort	NOUN
app01-8120	186	3	of	of	ADP
app01-8120	186	4	way	way	NOUN
app01-8120	186	5	-	-	PUNCT
app01-8120	186	6	out	out	NOUN
app01-8120	186	7	can	can	AUX
app01-8120	186	8	be	be	AUX
app01-8120	186	9	shear	shear	ADJ
app01-8120	186	10	coupling	couple	VERB
app01-8120	186	11	in	in	ADP
app01-8120	186	12	damage	damage	NOUN
app01-8120	186	13	state	state	NOUN
app01-8120	186	14	,	,	PUNCT
app01-8120	186	15	i.e.	i.e.	X
app01-8120	186	16	kres	kres	PROPN
app01-8120	186	17	=	=	SYM
app01-8120	186	18	0.0	0.0	NUM
app01-8120	186	19	,	,	PUNCT
app01-8120	186	20	ks	ks	NOUN
app01-8120	186	21	res	re	NOUN
app01-8120	186	22	6=	6=	PRON
app01-8120	186	23	0	0	NUM
app01-8120	186	24	.	.	PUNCT
app01-8120	187	1	it	it	PRON
app01-8120	187	2	prevents	prevent	VERB
app01-8120	187	3	large	large	ADJ
app01-8120	187	4	slope	slope	NOUN
app01-8120	187	5	of	of	ADP
app01-8120	187	6	deflection	deflection	NOUN
app01-8120	187	7	curve	curve	NOUN
app01-8120	187	8	,	,	PUNCT
app01-8120	187	9	see	see	VERB
app01-8120	187	10	dashed	dash	VERB
app01-8120	187	11	line	line	NOUN
app01-8120	187	12	in	in	ADP
app01-8120	187	13	figure	figure	NOUN
app01-8120	187	14	5	5	NUM
app01-8120	187	15	,	,	PUNCT
app01-8120	187	16	where	where	SCONJ
app01-8120	187	17	ks	ks	PROPN
app01-8120	187	18	res	re	VERB
app01-8120	187	19	=	=	NOUN
app01-8120	187	20	0.05	0.05	NUM
app01-8120	187	21	.	.	PUNCT
app01-8120	188	1	the	the	DET
app01-8120	188	2	observed	observed	ADJ
app01-8120	188	3	behavior	behavior	NOUN
app01-8120	188	4	is	be	AUX
app01-8120	188	5	more	more	ADV
app01-8120	188	6	pleasant	pleasant	ADJ
app01-8120	188	7	and	and	CCONJ
app01-8120	188	8	it	it	PRON
app01-8120	188	9	leads	lead	VERB
app01-8120	188	10	to	to	PART
app01-8120	188	11	crack	crack	VERB
app01-8120	188	12	evolving	evolve	VERB
app01-8120	188	13	as	as	SCONJ
app01-8120	188	14	presented	present	VERB
app01-8120	188	15	below	below	ADV
app01-8120	188	16	.	.	PUNCT
app01-8120	189	1	moreover	moreover	ADV
app01-8120	189	2	the	the	DET
app01-8120	189	3	crack	crack	NOUN
app01-8120	189	4	is	be	AUX
app01-8120	189	5	not	not	PART
app01-8120	189	6	thickening	thicken	VERB
app01-8120	189	7	after	after	ADP
app01-8120	189	8	additional	additional	ADJ
app01-8120	189	9	load	load	NOUN
app01-8120	189	10	.	.	PUNCT
app01-8120	190	1	in	in	ADP
app01-8120	190	2	contrast	contrast	NOUN
app01-8120	190	3	with	with	ADP
app01-8120	190	4	that	that	PRON
app01-8120	190	5	,	,	PUNCT
app01-8120	190	6	the	the	DET
app01-8120	190	7	case	case	NOUN
app01-8120	190	8	kres	kre	VERB
app01-8120	190	9	6=	6=	PRON
app01-8120	190	10	0	0	NUM
app01-8120	190	11	causes	cause	VERB
app01-8120	190	12	thickening	thickening	NOUN
app01-8120	190	13	.	.	PUNCT
app01-8120	191	1	mesh	mesh	NOUN
app01-8120	191	2	dependency	dependency	NOUN
app01-8120	191	3	the	the	DET
app01-8120	191	4	meshes	mesh	NOUN
app01-8120	191	5	m1	m1	PROPN
app01-8120	191	6	,	,	PUNCT
app01-8120	191	7	m2	m2	PROPN
app01-8120	191	8	and	and	CCONJ
app01-8120	191	9	m3	m3	PROPN
app01-8120	191	10	in	in	ADP
app01-8120	191	11	two	two	NUM
app01-8120	191	12	resolutions	resolution	NOUN
app01-8120	191	13	50×	50×	NOUN
app01-8120	191	14	50	50	NUM
app01-8120	191	15	and	and	CCONJ
app01-8120	191	16	100×	100×	NUM
app01-8120	191	17	100	100	NUM
app01-8120	191	18	was	be	AUX
app01-8120	191	19	used	use	VERB
app01-8120	191	20	to	to	PART
app01-8120	191	21	investigate	investigate	VERB
app01-8120	191	22	mesh	mesh	NOUN
app01-8120	191	23	dependency	dependency	NOUN
app01-8120	191	24	.	.	PUNCT
app01-8120	192	1	the	the	DET
app01-8120	192	2	setup	setup	NOUN
app01-8120	192	3	is	be	AUX
app01-8120	192	4	again	again	ADV
app01-8120	192	5	the	the	DET
app01-8120	192	6	same	same	ADJ
app01-8120	192	7	with	with	ADP
app01-8120	192	8	constant	constant	ADJ
app01-8120	192	9	time	time	NOUN
app01-8120	192	10	step	step	NOUN
app01-8120	192	11	∆t	∆t	PROPN
app01-8120	193	1	=	=	SYM
app01-8120	193	2	2	2	NUM
app01-8120	193	3	·	·	SYM
app01-8120	193	4	10−7	10−7	NUM
app01-8120	193	5	s	s	PART
app01-8120	193	6	and	and	CCONJ
app01-8120	193	7	final	final	ADJ
app01-8120	193	8	time	time	NOUN
app01-8120	193	9	instant	instant	NOUN
app01-8120	193	10	tn	tn	NOUN
app01-8120	194	1	=	=	PROPN
app01-8120	195	1	0.01	0.01	NUM
app01-8120	196	1	s.	s.	PROPN
app01-8120	197	1	the	the	DET
app01-8120	197	2	results	result	NOUN
app01-8120	197	3	of	of	ADP
app01-8120	197	4	damage	damage	NOUN
app01-8120	197	5	fields	field	NOUN
app01-8120	197	6	are	be	AUX
app01-8120	197	7	plotted	plot	VERB
app01-8120	197	8	in	in	ADP
app01-8120	197	9	figure	figure	NOUN
app01-8120	197	10	6	6	NUM
app01-8120	197	11	,	,	PUNCT
app01-8120	197	12	where	where	SCONJ
app01-8120	197	13	(	(	PUNCT
app01-8120	197	14	a	a	X
app01-8120	197	15	)	)	PUNCT
app01-8120	197	16	is	be	AUX
app01-8120	197	17	mesh	mesh	NOUN
app01-8120	197	18	m1	m1	NOUN
app01-8120	197	19	50×	50×	NOUN
app01-8120	197	20	50	50	NUM
app01-8120	197	21	,	,	PUNCT
app01-8120	197	22	(	(	PUNCT
app01-8120	197	23	b	b	X
app01-8120	197	24	)	)	PUNCT
app01-8120	197	25	is	be	AUX
app01-8120	197	26	mesh	mesh	NOUN
app01-8120	197	27	m2	m2	PROPN
app01-8120	197	28	50×	50×	NOUN
app01-8120	197	29	50	50	NUM
app01-8120	197	30	,	,	PUNCT
app01-8120	197	31	(	(	PUNCT
app01-8120	197	32	c	c	X
app01-8120	197	33	)	)	PUNCT
app01-8120	197	34	is	be	AUX
app01-8120	197	35	mesh	mesh	NOUN
app01-8120	197	36	m1	m1	PROPN
app01-8120	197	37	100×	100×	PROPN
app01-8120	197	38	100	100	NUM
app01-8120	197	39	and	and	CCONJ
app01-8120	197	40	finally	finally	ADV
app01-8120	197	41	(	(	PUNCT
app01-8120	197	42	d	d	X
app01-8120	197	43	)	)	PUNCT
app01-8120	197	44	is	be	AUX
app01-8120	197	45	mesh	mesh	PROPN
app01-8120	197	46	m2	m2	PROPN
app01-8120	197	47	100×	100×	PROPN
app01-8120	197	48	100	100	NUM
app01-8120	197	49	all	all	PRON
app01-8120	197	50	evaluated	evaluate	VERB
app01-8120	197	51	in	in	ADP
app01-8120	197	52	end	end	NOUN
app01-8120	197	53	time	time	NOUN
app01-8120	197	54	.	.	PUNCT
app01-8120	198	1	the	the	DET
app01-8120	198	2	mesh	mesh	NOUN
app01-8120	198	3	m3	m3	PROPN
app01-8120	198	4	behaves	behave	VERB
app01-8120	198	5	similarly	similarly	ADV
app01-8120	198	6	as	as	ADP
app01-8120	198	7	m1	m1	PROPN
app01-8120	198	8	and	and	CCONJ
app01-8120	198	9	is	be	AUX
app01-8120	198	10	not	not	PART
app01-8120	198	11	presented	present	VERB
app01-8120	198	12	here	here	ADV
app01-8120	198	13	.	.	PUNCT
app01-8120	199	1	there	there	PRON
app01-8120	199	2	is	be	VERB
app01-8120	199	3	evident	evident	ADJ
app01-8120	199	4	that	that	SCONJ
app01-8120	199	5	crack	crack	NOUN
app01-8120	199	6	topologies	topology	NOUN
app01-8120	199	7	are	be	AUX
app01-8120	199	8	different	different	ADJ
app01-8120	199	9	on	on	ADP
app01-8120	199	10	coarse	coarse	ADJ
app01-8120	199	11	mesh	mesh	NOUN
app01-8120	199	12	,	,	PUNCT
app01-8120	199	13	however	however	ADV
app01-8120	199	14	this	this	DET
app01-8120	199	15	discrepancy	discrepancy	NOUN
app01-8120	199	16	is	be	AUX
app01-8120	199	17	removed	remove	VERB
app01-8120	199	18	figure	figure	NOUN
app01-8120	199	19	7	7	NUM
app01-8120	199	20	.	.	PUNCT
app01-8120	199	21	visualisation	visualisation	NOUN
app01-8120	199	22	of	of	ADP
app01-8120	199	23	plate	plate	NOUN
app01-8120	199	24	deflection	deflection	NOUN
app01-8120	199	25	.	.	PUNCT
app01-8120	200	1	after	after	ADP
app01-8120	200	2	refinement	refinement	NOUN
app01-8120	200	3	.	.	PUNCT
app01-8120	201	1	the	the	DET
app01-8120	201	2	slight	slight	ADJ
app01-8120	201	3	mesh	mesh	NOUN
app01-8120	201	4	dependency	dependency	NOUN
app01-8120	201	5	can	can	AUX
app01-8120	201	6	still	still	ADV
app01-8120	201	7	remain	remain	VERB
app01-8120	201	8	in	in	ADP
app01-8120	201	9	phase	phase	NOUN
app01-8120	201	10	-	-	PUNCT
app01-8120	201	11	field	field	NOUN
app01-8120	201	12	models	model	NOUN
app01-8120	201	13	for	for	ADP
app01-8120	201	14	unstable	unstable	ADJ
app01-8120	201	15	solutions	solution	NOUN
app01-8120	201	16	,	,	PUNCT
app01-8120	201	17	but	but	CCONJ
app01-8120	201	18	it	it	PRON
app01-8120	201	19	still	still	ADV
app01-8120	201	20	remains	remain	VERB
app01-8120	201	21	more	more	ADV
app01-8120	201	22	or	or	CCONJ
app01-8120	201	23	less	less	ADV
app01-8120	201	24	objective	objective	ADJ
app01-8120	201	25	approach	approach	NOUN
app01-8120	201	26	in	in	ADP
app01-8120	201	27	contrast	contrast	NOUN
app01-8120	201	28	with	with	ADP
app01-8120	201	29	other	other	ADJ
app01-8120	201	30	techniques	technique	NOUN
app01-8120	201	31	.	.	PUNCT
app01-8120	202	1	time	time	NOUN
app01-8120	202	2	refinement	refinement	VERB
app01-8120	202	3	the	the	DET
app01-8120	202	4	damage	damage	NOUN
app01-8120	202	5	solution	solution	NOUN
app01-8120	202	6	(	(	PUNCT
app01-8120	202	7	d	d	X
app01-8120	202	8	)	)	PUNCT
app01-8120	202	9	in	in	ADP
app01-8120	202	10	figure	figure	NOUN
app01-8120	202	11	6	6	NUM
app01-8120	202	12	and	and	CCONJ
app01-8120	202	13	its	its	PRON
app01-8120	202	14	visualisation	visualisation	NOUN
app01-8120	202	15	of	of	ADP
app01-8120	202	16	deflection	deflection	NOUN
app01-8120	202	17	in	in	ADP
app01-8120	202	18	figure	figure	NOUN
app01-8120	202	19	7	7	NUM
app01-8120	202	20	is	be	AUX
app01-8120	202	21	therefore	therefore	ADV
app01-8120	202	22	appropriate	appropriate	ADJ
app01-8120	202	23	and	and	CCONJ
app01-8120	202	24	objective	objective	ADJ
app01-8120	202	25	without	without	ADP
app01-8120	202	26	any	any	DET
app01-8120	202	27	further	further	ADJ
app01-8120	202	28	improvement	improvement	NOUN
app01-8120	202	29	during	during	ADP
app01-8120	202	30	time	time	NOUN
app01-8120	202	31	refinement	refinement	NOUN
app01-8120	202	32	as	as	SCONJ
app01-8120	202	33	seen	see	VERB
app01-8120	202	34	in	in	ADP
app01-8120	202	35	the	the	DET
app01-8120	202	36	graph	graph	NOUN
app01-8120	202	37	8	8	NUM
app01-8120	202	38	.	.	PUNCT
app01-8120	203	1	the	the	DET
app01-8120	203	2	red	red	ADJ
app01-8120	203	3	and	and	CCONJ
app01-8120	203	4	blue	blue	ADJ
app01-8120	203	5	line	line	NOUN
app01-8120	203	6	are	be	AUX
app01-8120	203	7	almost	almost	ADV
app01-8120	203	8	identical	identical	ADJ
app01-8120	203	9	.	.	PUNCT
app01-8120	204	1	an	an	DET
app01-8120	204	2	interesting	interesting	ADJ
app01-8120	204	3	parasitic	parasitic	ADJ
app01-8120	204	4	behavior	behavior	NOUN
app01-8120	204	5	appears	appear	VERB
app01-8120	204	6	when	when	SCONJ
app01-8120	204	7	the	the	DET
app01-8120	204	8	residual	residual	ADJ
app01-8120	204	9	stiffness	stiffness	NOUN
app01-8120	204	10	is	be	AUX
app01-8120	204	11	prescribed	prescribe	VERB
app01-8120	204	12	also	also	ADV
app01-8120	204	13	to	to	ADP
app01-8120	204	14	the	the	DET
app01-8120	204	15	bending	bend	VERB
app01-8120	204	16	members	member	NOUN
app01-8120	204	17	(	(	PUNCT
app01-8120	204	18	kres	kre	NOUN
app01-8120	204	19	=	=	NOUN
app01-8120	204	20	0.01	0.01	NUM
app01-8120	204	21	)	)	PUNCT
app01-8120	204	22	,	,	PUNCT
app01-8120	204	23	see	see	VERB
app01-8120	204	24	black	black	ADJ
app01-8120	204	25	line	line	NOUN
app01-8120	204	26	in	in	ADP
app01-8120	204	27	graph	graph	NOUN
app01-8120	204	28	8	8	NUM
app01-8120	204	29	.	.	PUNCT
app01-8120	205	1	the	the	DET
app01-8120	205	2	residual	residual	ADJ
app01-8120	205	3	term	term	NOUN
app01-8120	205	4	causes	cause	VERB
app01-8120	205	5	unwanted	unwanted	ADJ
app01-8120	205	6	harmonic	harmonic	ADJ
app01-8120	205	7	oscillations	oscillation	NOUN
app01-8120	205	8	between	between	ADP
app01-8120	205	9	impactor	impactor	NOUN
app01-8120	205	10	and	and	CCONJ
app01-8120	205	11	plate	plate	NOUN
app01-8120	205	12	.	.	PUNCT
app01-8120	206	1	0	0	NUM
app01-8120	206	2	2	2	NUM
app01-8120	206	3	4	4	NUM
app01-8120	206	4	6	6	NUM
app01-8120	206	5	8	8	NUM
app01-8120	206	6	·	·	SYM
app01-8120	206	7	10−3	10−3	NUM
app01-8120	206	8	−400	−400	NOUN
app01-8120	206	9	−200	−200	NOUN
app01-8120	206	10	0	0	NUM
app01-8120	206	11	time	time	NOUN
app01-8120	206	12	t	t	PROPN
app01-8120	207	1	[	[	X
app01-8120	207	2	s	s	X
app01-8120	207	3	]	]	X
app01-8120	207	4	i	i	PRON
app01-8120	207	5	m	m	VERB
app01-8120	207	6	p.	p.	NOUN
app01-8120	207	7	ac	ac	PROPN
app01-8120	208	1	c.	c.	PROPN
app01-8120	209	1	[	[	X
app01-8120	209	2	m	m	X
app01-8120	209	3	/s	/s	VERB
app01-8120	209	4	2	2	NUM
app01-8120	209	5	]	]	PUNCT
app01-8120	209	6	∆t	∆t	PROPN
app01-8120	209	7	=	=	SYM
app01-8120	209	8	2	2	NUM
app01-8120	209	9	·	·	SYM
app01-8120	209	10	10−7	10−7	NUM
app01-8120	209	11	,	,	PUNCT
app01-8120	209	12	kres	kre	VERB
app01-8120	209	13	6=	6=	PROPN
app01-8120	209	14	0	0	NUM
app01-8120	209	15	∆t	∆t	PROPN
app01-8120	209	16	=	=	SYM
app01-8120	209	17	1	1	NUM
app01-8120	209	18	·	·	SYM
app01-8120	209	19	10−7	10−7	NUM
app01-8120	209	20	,	,	PUNCT
app01-8120	209	21	kres	kre	VERB
app01-8120	209	22	=	=	SYM
app01-8120	209	23	0	0	NUM
app01-8120	209	24	∆t	∆t	PROPN
app01-8120	209	25	=	=	SYM
app01-8120	209	26	2	2	NUM
app01-8120	209	27	·	·	SYM
app01-8120	209	28	10−7	10−7	NUM
app01-8120	209	29	,	,	PUNCT
app01-8120	209	30	kres	kre	VERB
app01-8120	209	31	=	=	SYM
app01-8120	209	32	0	0	NUM
app01-8120	209	33	0	0	NUM
app01-8120	209	34	0.2	0.2	NUM
app01-8120	209	35	0.4	0.4	NUM
app01-8120	209	36	0.6	0.6	NUM
app01-8120	209	37	0.8	0.8	NUM
app01-8120	209	38	1	1	NUM
app01-8120	209	39	·	·	SYM
app01-8120	209	40	10−3	10−3	NUM
app01-8120	209	41	−350	−350	NOUN
app01-8120	209	42	−300	−300	ADJ
app01-8120	209	43	−250	−250	PROPN
app01-8120	209	44	−200	−200	PROPN
app01-8120	210	1	time	time	NOUN
app01-8120	210	2	t	t	PROPN
app01-8120	211	1	[	[	X
app01-8120	211	2	s	s	X
app01-8120	211	3	]	]	X
app01-8120	211	4	i	i	PRON
app01-8120	211	5	m	m	VERB
app01-8120	211	6	p.	p.	NOUN
app01-8120	211	7	ac	ac	PROPN
app01-8120	212	1	c.	c.	PROPN
app01-8120	213	1	[	[	X
app01-8120	213	2	m	m	X
app01-8120	213	3	/s	/s	VERB
app01-8120	213	4	2	2	NUM
app01-8120	213	5	]	]	PUNCT
app01-8120	213	6	detail	detail	NOUN
app01-8120	213	7	figure	figure	NOUN
app01-8120	213	8	8	8	NUM
app01-8120	213	9	.	.	PUNCT
app01-8120	213	10	evolution	evolution	NOUN
app01-8120	213	11	of	of	ADP
app01-8120	213	12	impactor	impactor	NOUN
app01-8120	213	13	acceleration	acceleration	NOUN
app01-8120	213	14	for	for	ADP
app01-8120	213	15	two	two	NUM
app01-8120	213	16	different	different	ADJ
app01-8120	213	17	time	time	NOUN
app01-8120	213	18	steps	step	NOUN
app01-8120	213	19	(	(	PUNCT
app01-8120	213	20	red	red	ADJ
app01-8120	213	21	and	and	CCONJ
app01-8120	213	22	blue	blue	ADJ
app01-8120	213	23	)	)	PUNCT
app01-8120	213	24	and	and	CCONJ
app01-8120	213	25	for	for	ADP
app01-8120	213	26	case	case	NOUN
app01-8120	213	27	kres	kre	VERB
app01-8120	213	28	6=	6=	PRON
app01-8120	213	29	0	0	NUM
app01-8120	213	30	(	(	PUNCT
app01-8120	213	31	black	black	NOUN
app01-8120	213	32	)	)	PUNCT
app01-8120	213	33	with	with	ADP
app01-8120	213	34	detail	detail	NOUN
app01-8120	213	35	below	below	ADV
app01-8120	213	36	.	.	PUNCT
app01-8120	214	1	crack	crack	VERB
app01-8120	214	2	speed	speed	NOUN
app01-8120	214	3	the	the	DET
app01-8120	214	4	main	main	ADJ
app01-8120	214	5	drawback	drawback	NOUN
app01-8120	214	6	of	of	ADP
app01-8120	214	7	presented	present	VERB
app01-8120	214	8	approach	approach	NOUN
app01-8120	214	9	is	be	AUX
app01-8120	214	10	its	its	PRON
app01-8120	214	11	inability	inability	NOUN
app01-8120	214	12	to	to	PART
app01-8120	214	13	correctly	correctly	ADV
app01-8120	214	14	predict	predict	VERB
app01-8120	214	15	crack	crack	NOUN
app01-8120	214	16	velocity	velocity	NOUN
app01-8120	214	17	.	.	PUNCT
app01-8120	215	1	it	it	PRON
app01-8120	215	2	is	be	AUX
app01-8120	215	3	evident	evident	ADJ
app01-8120	215	4	from	from	ADP
app01-8120	215	5	near	near	ADP
app01-8120	215	6	-	-	PUNCT
app01-8120	215	7	the	the	DET
app01-8120	215	8	-	-	PUNCT
app01-8120	215	9	failure	failure	NOUN
app01-8120	215	10	evolution	evolution	NOUN
app01-8120	215	11	of	of	ADP
app01-8120	215	12	103	103	NUM
app01-8120	215	13	jaroslav	jaroslav	PROPN
app01-8120	215	14	schmidt	schmidt	PROPN
app01-8120	215	15	,	,	PUNCT
app01-8120	215	16	tomáš	tomáš	PROPN
app01-8120	215	17	janda	janda	PROPN
app01-8120	215	18	acta	acta	PROPN
app01-8120	215	19	polytechnica	polytechnica	PROPN
app01-8120	215	20	ctu	ctu	NOUN
app01-8120	215	21	proceedings	proceeding	NOUN
app01-8120	215	22	t	t	NOUN
app01-8120	215	23	=	=	PUNCT
app01-8120	215	24	0.00492	0.00492	NUM
app01-8120	215	25	s	s	NOUN
app01-8120	215	26	t	t	NOUN
app01-8120	215	27	=	=	SYM
app01-8120	215	28	0.00522	0.00522	NUM
app01-8120	215	29	s	s	NUM
app01-8120	215	30	0.5135	0.5135	NUM
app01-8120	215	31	m	m	NUM
app01-8120	215	32	0.7210	0.7210	NUM
app01-8120	215	33	m	m	NOUN
app01-8120	215	34	figure	figure	NOUN
app01-8120	215	35	9	9	NUM
app01-8120	215	36	.	.	PUNCT
app01-8120	216	1	crack	crack	VERB
app01-8120	216	2	development	development	NOUN
app01-8120	216	3	in	in	ADP
app01-8120	216	4	two	two	NUM
app01-8120	216	5	different	different	ADJ
app01-8120	216	6	time	time	NOUN
app01-8120	216	7	instants	instant	NOUN
app01-8120	216	8	for	for	ADP
app01-8120	216	9	mesh	mesh	NOUN
app01-8120	216	10	m1	m1	PROPN
app01-8120	216	11	100×	100×	PROPN
app01-8120	216	12	100	100	NUM
app01-8120	216	13	.	.	PUNCT
app01-8120	217	1	crack	crack	VERB
app01-8120	217	2	in	in	ADP
app01-8120	217	3	figure	figure	NOUN
app01-8120	217	4	9	9	NUM
app01-8120	217	5	.	.	PUNCT
app01-8120	218	1	the	the	DET
app01-8120	218	2	crack	crack	NOUN
app01-8120	218	3	length	length	NOUN
app01-8120	218	4	increment	increment	NOUN
app01-8120	218	5	divided	divide	VERB
app01-8120	218	6	by	by	ADP
app01-8120	218	7	time	time	NOUN
app01-8120	218	8	increment	increment	NOUN
app01-8120	218	9	gives	give	VERB
app01-8120	218	10	us	we	PRON
app01-8120	218	11	the	the	DET
app01-8120	218	12	numerically	numerically	ADV
app01-8120	218	13	predicted	predict	VERB
app01-8120	218	14	crack	crack	NOUN
app01-8120	218	15	speed	speed	NOUN
app01-8120	218	16	vpf	vpf	NOUN
app01-8120	218	17	=	=	PUNCT
app01-8120	218	18	692	692	NUM
app01-8120	218	19	m	m	NOUN
app01-8120	218	20	/	/	SYM
app01-8120	218	21	s.	s.	PROPN
app01-8120	218	22	however	however	ADV
app01-8120	218	23	the	the	DET
app01-8120	218	24	crack	crack	NOUN
app01-8120	218	25	speed	speed	NOUN
app01-8120	218	26	of	of	ADP
app01-8120	218	27	glass	glass	NOUN
app01-8120	218	28	is	be	AUX
app01-8120	218	29	about	about	ADP
app01-8120	218	30	vreal	vreal	ADJ
app01-8120	218	31	≈	≈	PROPN
app01-8120	218	32	1500	1500	NUM
app01-8120	218	33	m	m	NOUN
app01-8120	218	34	/	/	SYM
app01-8120	218	35	s	s	PART
app01-8120	219	1	[	[	X
app01-8120	219	2	[	[	X
app01-8120	219	3	8	8	NUM
app01-8120	219	4	]	]	X
app01-8120	219	5	]	]	PUNCT
app01-8120	219	6	,	,	PUNCT
app01-8120	219	7	which	which	PRON
app01-8120	219	8	is	be	AUX
app01-8120	219	9	still	still	ADV
app01-8120	219	10	twice	twice	ADV
app01-8120	219	11	as	as	ADV
app01-8120	219	12	much	much	ADJ
app01-8120	219	13	.	.	PUNCT
app01-8120	220	1	7	7	X
app01-8120	220	2	.	.	X
app01-8120	220	3	conclusion	conclusion	NOUN
app01-8120	220	4	the	the	DET
app01-8120	220	5	explicit	explicit	ADJ
app01-8120	220	6	variationally	variationally	ADV
app01-8120	220	7	consistent	consistent	ADJ
app01-8120	220	8	dynamic	dynamic	ADJ
app01-8120	220	9	phasefield	phasefield	NOUN
app01-8120	220	10	damage	damage	NOUN
app01-8120	220	11	model	model	NOUN
app01-8120	220	12	was	be	AUX
app01-8120	220	13	presented	present	VERB
app01-8120	220	14	in	in	ADP
app01-8120	220	15	this	this	DET
app01-8120	220	16	contribution	contribution	NOUN
app01-8120	220	17	with	with	ADP
app01-8120	220	18	additional	additional	ADJ
app01-8120	220	19	implementation	implementation	NOUN
app01-8120	220	20	details	detail	NOUN
app01-8120	220	21	and	and	CCONJ
app01-8120	220	22	preliminary	preliminary	ADJ
app01-8120	220	23	results	result	NOUN
app01-8120	220	24	.	.	PUNCT
app01-8120	221	1	the	the	DET
app01-8120	221	2	plate	plate	NOUN
app01-8120	221	3	model	model	NOUN
app01-8120	221	4	with	with	ADP
app01-8120	221	5	volumetricdeviatoric	volumetricdeviatoric	ADJ
app01-8120	221	6	decomposition	decomposition	NOUN
app01-8120	221	7	was	be	AUX
app01-8120	221	8	successfully	successfully	ADV
app01-8120	221	9	implemented	implement	VERB
app01-8120	221	10	,	,	PUNCT
app01-8120	221	11	but	but	CCONJ
app01-8120	221	12	it	it	PRON
app01-8120	221	13	still	still	ADV
app01-8120	221	14	exhibits	exhibit	VERB
app01-8120	221	15	some	some	DET
app01-8120	221	16	issues	issue	NOUN
app01-8120	221	17	–	–	PUNCT
app01-8120	221	18	especially	especially	ADV
app01-8120	221	19	wrong	wrong	ADJ
app01-8120	221	20	crack	crack	NOUN
app01-8120	221	21	velocity	velocity	NOUN
app01-8120	221	22	and	and	CCONJ
app01-8120	221	23	no	no	DET
app01-8120	221	24	crack	crack	NOUN
app01-8120	221	25	branching	branch	VERB
app01-8120	221	26	.	.	PUNCT
app01-8120	222	1	this	this	DET
app01-8120	222	2	two	two	NUM
app01-8120	222	3	facts	fact	NOUN
app01-8120	222	4	may	may	AUX
app01-8120	222	5	be	be	AUX
app01-8120	222	6	related	relate	VERB
app01-8120	222	7	,	,	PUNCT
app01-8120	222	8	because	because	SCONJ
app01-8120	222	9	crack	crack	NOUN
app01-8120	222	10	branching	branching	NOUN
app01-8120	222	11	is	be	AUX
app01-8120	222	12	caused	cause	VERB
app01-8120	222	13	by	by	ADP
app01-8120	222	14	large	large	ADJ
app01-8120	222	15	crack	crack	NOUN
app01-8120	222	16	velocity	velocity	NOUN
app01-8120	222	17	.	.	PUNCT
app01-8120	223	1	it	it	PRON
app01-8120	223	2	is	be	AUX
app01-8120	223	3	under	under	ADP
app01-8120	223	4	further	further	ADJ
app01-8120	223	5	investigation	investigation	NOUN
app01-8120	223	6	as	as	ADV
app01-8120	223	7	well	well	ADV
app01-8120	223	8	as	as	ADP
app01-8120	223	9	implementation	implementation	NOUN
app01-8120	223	10	of	of	ADP
app01-8120	223	11	other	other	ADJ
app01-8120	223	12	models	model	NOUN
app01-8120	223	13	(	(	PUNCT
app01-8120	223	14	particularly	particularly	ADV
app01-8120	223	15	p	p	NOUN
app01-8120	223	16	-	-	PUNCT
app01-8120	223	17	sd	sd	NOUN
app01-8120	223	18	)	)	PUNCT
app01-8120	223	19	.	.	PUNCT
app01-8120	224	1	acknowledgements	acknowledgement	NOUN
app01-8120	224	2	this	this	DET
app01-8120	224	3	publication	publication	NOUN
app01-8120	224	4	was	be	AUX
app01-8120	224	5	supported	support	VERB
app01-8120	224	6	by	by	ADP
app01-8120	224	7	the	the	DET
app01-8120	224	8	czech	czech	PROPN
app01-8120	224	9	science	science	PROPN
app01-8120	224	10	foundation	foundation	PROPN
app01-8120	224	11	,	,	PUNCT
app01-8120	225	1	the	the	DET
app01-8120	225	2	grant	grant	NOUN
app01-8120	225	3	no	no	NOUN
app01-8120	225	4	.	.	NOUN
app01-8120	225	5	19	19	NUM
app01-8120	225	6	-	-	PUNCT
app01-8120	225	7	15326s	15326s	NUM
app01-8120	225	8	and	and	CCONJ
app01-8120	225	9	by	by	ADP
app01-8120	225	10	the	the	DET
app01-8120	225	11	grant	grant	PROPN
app01-8120	225	12	agency	agency	NOUN
app01-8120	225	13	of	of	ADP
app01-8120	225	14	the	the	DET
app01-8120	225	15	czech	czech	PROPN
app01-8120	225	16	technical	technical	PROPN
app01-8120	225	17	university	university	PROPN
app01-8120	225	18	in	in	ADP
app01-8120	225	19	prague	prague	PROPN
app01-8120	225	20	,	,	PUNCT
app01-8120	225	21	grant	grant	VERB
app01-8120	225	22	no	no	INTJ
app01-8120	225	23	.	.	PUNCT
app01-8120	225	24	sgs21/038	sgs21/038	PROPN
app01-8120	225	25	/	/	SYM
app01-8120	225	26	ohk1/1t/11	ohk1/1t/11	PROPN
app01-8120	225	27	.	.	PUNCT
app01-8120	226	1	references	reference	NOUN
app01-8120	226	2	[	[	X
app01-8120	226	3	1	1	NUM
app01-8120	226	4	]	]	X
app01-8120	226	5	b.	b.	PROPN
app01-8120	226	6	bourdin	bourdin	PROPN
app01-8120	226	7	,	,	PUNCT
app01-8120	226	8	g.	g.	PROPN
app01-8120	226	9	a.	a.	PROPN
app01-8120	226	10	francfort	francfort	PROPN
app01-8120	226	11	,	,	PUNCT
app01-8120	226	12	j.-j	j.-j	PROPN
app01-8120	226	13	.	.	PUNCT
app01-8120	226	14	marigo	marigo	PROPN
app01-8120	226	15	.	.	PUNCT
app01-8120	227	1	the	the	DET
app01-8120	227	2	variational	variational	ADJ
app01-8120	227	3	approach	approach	NOUN
app01-8120	227	4	to	to	ADP
app01-8120	227	5	fracture	fracture	NOUN
app01-8120	227	6	.	.	PUNCT
app01-8120	228	1	journal	journal	PROPN
app01-8120	228	2	of	of	ADP
app01-8120	228	3	elasticity	elasticity	NOUN
app01-8120	228	4	91(1):5–148	91(1):5–148	NUM
app01-8120	228	5	,	,	PUNCT
app01-8120	228	6	2008	2008	NUM
app01-8120	228	7	.	.	PUNCT
app01-8120	229	1	[	[	X
app01-8120	229	2	2	2	NUM
app01-8120	229	3	]	]	PUNCT
app01-8120	229	4	m.	m.	NOUN
app01-8120	229	5	hofacker	hofacker	NOUN
app01-8120	229	6	,	,	PUNCT
app01-8120	229	7	c.	c.	PROPN
app01-8120	229	8	miehe	miehe	PROPN
app01-8120	229	9	.	.	PUNCT
app01-8120	230	1	continuum	continuum	ADJ
app01-8120	230	2	phase	phase	NOUN
app01-8120	230	3	field	field	NOUN
app01-8120	230	4	modeling	modeling	NOUN
app01-8120	230	5	of	of	ADP
app01-8120	230	6	dynamic	dynamic	ADJ
app01-8120	230	7	fracture	fracture	NOUN
app01-8120	230	8	:	:	PUNCT
app01-8120	230	9	variational	variational	ADJ
app01-8120	230	10	principles	principle	NOUN
app01-8120	230	11	and	and	CCONJ
app01-8120	230	12	staggered	stagger	VERB
app01-8120	230	13	fe	fe	NOUN
app01-8120	230	14	implementation	implementation	NOUN
app01-8120	230	15	.	.	PUNCT
app01-8120	231	1	international	international	ADJ
app01-8120	231	2	journal	journal	NOUN
app01-8120	231	3	of	of	ADP
app01-8120	231	4	fracture	fracture	PROPN
app01-8120	231	5	178(1):113–129	178(1):113–129	NUM
app01-8120	231	6	,	,	PUNCT
app01-8120	231	7	2012	2012	NUM
app01-8120	231	8	.	.	PUNCT
app01-8120	232	1	[	[	X
app01-8120	232	2	3	3	X
app01-8120	232	3	]	]	X
app01-8120	232	4	y.	y.	PROPN
app01-8120	232	5	shen	shen	PROPN
app01-8120	232	6	,	,	PUNCT
app01-8120	232	7	m.	m.	PROPN
app01-8120	232	8	mollaali	mollaali	PROPN
app01-8120	232	9	,	,	PUNCT
app01-8120	232	10	y.	y.	PROPN
app01-8120	232	11	li	li	PROPN
app01-8120	232	12	,	,	PUNCT
app01-8120	232	13	et	et	PROPN
app01-8120	232	14	al	al	PROPN
app01-8120	232	15	.	.	PUNCT
app01-8120	233	1	implementation	implementation	NOUN
app01-8120	233	2	details	detail	NOUN
app01-8120	233	3	for	for	ADP
app01-8120	233	4	the	the	DET
app01-8120	233	5	phase	phase	NOUN
app01-8120	233	6	field	field	NOUN
app01-8120	233	7	approaches	approach	NOUN
app01-8120	233	8	to	to	ADP
app01-8120	233	9	fracture	fracture	NOUN
app01-8120	233	10	.	.	PUNCT
app01-8120	234	1	journal	journal	PROPN
app01-8120	234	2	of	of	ADP
app01-8120	234	3	shanghai	shanghai	PROPN
app01-8120	234	4	jiaotong	jiaotong	PROPN
app01-8120	234	5	university	university	PROPN
app01-8120	234	6	(	(	PUNCT
app01-8120	234	7	science	science	NOUN
app01-8120	234	8	)	)	PUNCT
app01-8120	234	9	23(1):166–174	23(1):166–174	PROPN
app01-8120	234	10	,	,	PUNCT
app01-8120	234	11	2018	2018	NUM
app01-8120	234	12	.	.	PUNCT
app01-8120	235	1	[	[	X
app01-8120	235	2	4	4	X
app01-8120	235	3	]	]	PUNCT
app01-8120	235	4	k.	k.	PROPN
app01-8120	235	5	pham	pham	PROPN
app01-8120	235	6	,	,	PUNCT
app01-8120	235	7	h.	h.	PROPN
app01-8120	235	8	amor	amor	PROPN
app01-8120	235	9	,	,	PUNCT
app01-8120	235	10	j.-j	j.-j	PROPN
app01-8120	235	11	.	.	PUNCT
app01-8120	235	12	marigo	marigo	PROPN
app01-8120	235	13	,	,	PUNCT
app01-8120	235	14	c.	c.	PROPN
app01-8120	235	15	maurini	maurini	PROPN
app01-8120	235	16	.	.	PUNCT
app01-8120	236	1	gradient	gradient	ADJ
app01-8120	236	2	damage	damage	NOUN
app01-8120	236	3	models	model	NOUN
app01-8120	236	4	and	and	CCONJ
app01-8120	236	5	their	their	PRON
app01-8120	236	6	use	use	NOUN
app01-8120	236	7	to	to	PART
app01-8120	236	8	approximate	approximate	VERB
app01-8120	236	9	brittle	brittle	ADJ
app01-8120	236	10	fracture	fracture	NOUN
app01-8120	236	11	.	.	PUNCT
app01-8120	237	1	international	international	ADJ
app01-8120	237	2	journal	journal	NOUN
app01-8120	237	3	of	of	ADP
app01-8120	237	4	damage	damage	NOUN
app01-8120	237	5	mechanics	mechanic	NOUN
app01-8120	237	6	20(4):618–652	20(4):618–652	PROPN
app01-8120	237	7	,	,	PUNCT
app01-8120	237	8	2011	2011	NUM
app01-8120	237	9	.	.	PUNCT
app01-8120	238	1	[	[	X
app01-8120	238	2	5	5	NUM
app01-8120	238	3	]	]	X
app01-8120	238	4	j.-y	j.-y	NOUN
app01-8120	238	5	.	.	PUNCT
app01-8120	239	1	wu	wu	PROPN
app01-8120	239	2	,	,	PUNCT
app01-8120	239	3	v.	v.	ADP
app01-8120	239	4	p.	p.	PROPN
app01-8120	239	5	nguyen	nguyen	NOUN
app01-8120	239	6	,	,	PUNCT
app01-8120	239	7	c.	c.	PROPN
app01-8120	239	8	t.	t.	PROPN
app01-8120	239	9	nguyen	nguyen	PROPN
app01-8120	239	10	,	,	PUNCT
app01-8120	239	11	et	et	PROPN
app01-8120	239	12	al	al	PROPN
app01-8120	239	13	.	.	PROPN
app01-8120	239	14	phase	phase	NOUN
app01-8120	239	15	-	-	PUNCT
app01-8120	239	16	field	field	NOUN
app01-8120	239	17	modeling	modeling	NOUN
app01-8120	239	18	of	of	ADP
app01-8120	239	19	fracture	fracture	NOUN
app01-8120	239	20	.	.	PUNCT
app01-8120	240	1	advances	advance	NOUN
app01-8120	240	2	in	in	ADP
app01-8120	240	3	applied	apply	VERB
app01-8120	240	4	mechanics	mechanic	NOUN
app01-8120	240	5	53:1–183	53:1–183	NUM
app01-8120	240	6	,	,	PUNCT
app01-8120	240	7	2020	2020	NUM
app01-8120	240	8	.	.	PUNCT
app01-8120	241	1	[	[	X
app01-8120	241	2	6	6	NUM
app01-8120	241	3	]	]	PUNCT
app01-8120	241	4	a.	a.	NOUN
app01-8120	241	5	zemanová	zemanová	PROPN
app01-8120	241	6	,	,	PUNCT
app01-8120	241	7	p.	p.	PROPN
app01-8120	241	8	konrád	konrád	NOUN
app01-8120	241	9	,	,	PUNCT
app01-8120	241	10	p.	p.	PROPN
app01-8120	241	11	hála	hála	NOUN
app01-8120	241	12	,	,	PUNCT
app01-8120	241	13	et	et	PROPN
app01-8120	241	14	al	al	PROPN
app01-8120	241	15	.	.	PUNCT
app01-8120	242	1	experimental	experimental	ADJ
app01-8120	242	2	study	study	NOUN
app01-8120	242	3	on	on	ADP
app01-8120	242	4	the	the	DET
app01-8120	242	5	gradual	gradual	ADJ
app01-8120	242	6	fracture	fracture	NOUN
app01-8120	242	7	of	of	ADP
app01-8120	242	8	layers	layer	NOUN
app01-8120	242	9	in	in	ADP
app01-8120	242	10	multi	multi	ADJ
app01-8120	242	11	-	-	ADJ
app01-8120	242	12	layer	layer	ADJ
app01-8120	242	13	laminated	laminate	VERB
app01-8120	242	14	glass	glass	NOUN
app01-8120	242	15	plates	plate	NOUN
app01-8120	242	16	under	under	ADP
app01-8120	242	17	low	low	ADJ
app01-8120	242	18	-	-	PUNCT
app01-8120	242	19	velocity	velocity	NOUN
app01-8120	242	20	impact	impact	NOUN
app01-8120	242	21	.	.	PUNCT
app01-8120	243	1	arxiv	arxiv	PROPN
app01-8120	243	2	preprint	preprint	VERB
app01-8120	243	3	arxiv:210712151	arxiv:210712151	PRON
app01-8120	243	4	2021	2021	NUM
app01-8120	243	5	.	.	PUNCT
app01-8120	244	1	[	[	X
app01-8120	244	2	7	7	X
app01-8120	244	3	]	]	PUNCT
app01-8120	244	4	m.	m.	NOUN
app01-8120	244	5	ambati	ambati	PROPN
app01-8120	244	6	,	,	PUNCT
app01-8120	244	7	t.	t.	PROPN
app01-8120	244	8	gerasimov	gerasimov	ADJ
app01-8120	244	9	,	,	PUNCT
app01-8120	244	10	l.	l.	PROPN
app01-8120	244	11	de	de	X
app01-8120	244	12	lorenzis	lorenzis	PROPN
app01-8120	244	13	.	.	PUNCT
app01-8120	245	1	a	a	DET
app01-8120	245	2	review	review	NOUN
app01-8120	245	3	on	on	ADP
app01-8120	245	4	phase	phase	NOUN
app01-8120	245	5	-	-	PUNCT
app01-8120	245	6	field	field	NOUN
app01-8120	245	7	models	model	NOUN
app01-8120	245	8	of	of	ADP
app01-8120	245	9	brittle	brittle	ADJ
app01-8120	245	10	fracture	fracture	NOUN
app01-8120	245	11	and	and	CCONJ
app01-8120	245	12	a	a	DET
app01-8120	245	13	new	new	ADJ
app01-8120	245	14	fast	fast	ADJ
app01-8120	245	15	hybrid	hybrid	ADJ
app01-8120	245	16	formulation	formulation	NOUN
app01-8120	245	17	.	.	PUNCT
app01-8120	246	1	computational	computational	ADJ
app01-8120	246	2	mechanics	mechanic	NOUN
app01-8120	246	3	55(2):383–405	55(2):383–405	PROPN
app01-8120	246	4	,	,	PUNCT
app01-8120	246	5	2015	2015	NUM
app01-8120	246	6	.	.	PUNCT
app01-8120	247	1	[	[	X
app01-8120	247	2	8	8	NUM
app01-8120	247	3	]	]	X
app01-8120	247	4	f.	f.	PROPN
app01-8120	247	5	barstow	barstow	PROPN
app01-8120	247	6	,	,	PUNCT
app01-8120	247	7	h.	h.	PROPN
app01-8120	247	8	edgerton	edgerton	PROPN
app01-8120	247	9	.	.	PUNCT
app01-8120	248	1	glass	glass	NOUN
app01-8120	248	2	-	-	PUNCT
app01-8120	248	3	fracture	fracture	NOUN
app01-8120	248	4	velocity	velocity	NOUN
app01-8120	248	5	.	.	PUNCT
app01-8120	249	1	journal	journal	NOUN
app01-8120	249	2	of	of	ADP
app01-8120	249	3	the	the	DET
app01-8120	249	4	american	american	PROPN
app01-8120	249	5	ceramic	ceramic	PROPN
app01-8120	249	6	society	society	PROPN
app01-8120	249	7	22(1	22(1	PROPN
app01-8120	249	8	-	-	SYM
app01-8120	249	9	12):302–307	12):302–307	NUM
app01-8120	249	10	,	,	PUNCT
app01-8120	249	11	1939	1939	NUM
app01-8120	249	12	.	.	PUNCT
app01-8120	250	1	104	104	NUM
app01-8120	250	2	acta	acta	PROPN
app01-8120	250	3	polytechnica	polytechnica	PROPN
app01-8120	250	4	ctu	ctu	NOUN
app01-8120	250	5	proceedings	proceeding	NOUN
app01-8120	250	6	34:98–104	34:98–104	NUM
app01-8120	250	7	,	,	PUNCT
app01-8120	250	8	2022	2022	NUM
app01-8120	250	9	1	1	NUM
app01-8120	250	10	introduction	introduction	NOUN
app01-8120	250	11	2	2	NUM
app01-8120	250	12	phase	phase	NOUN
app01-8120	250	13	-	-	PUNCT
app01-8120	250	14	field	field	NOUN
app01-8120	250	15	model	model	NOUN
app01-8120	250	16	2.1	2.1	NUM
app01-8120	250	17	plate	plate	NOUN
app01-8120	250	18	models	model	NOUN
app01-8120	250	19	2.2	2.2	NUM
app01-8120	250	20	discrete	discrete	ADJ
app01-8120	250	21	dynamic	dynamic	ADJ
app01-8120	250	22	model	model	NOUN
app01-8120	250	23	2.3	2.3	NUM
app01-8120	250	24	nonlinear	nonlinear	ADJ
app01-8120	250	25	hertz	hertz	NOUN
app01-8120	250	26	force	force	NOUN
app01-8120	250	27	3	3	NUM
app01-8120	250	28	implementation	implementation	NOUN
app01-8120	250	29	4	4	NUM
app01-8120	250	30	setup	setup	NOUN
app01-8120	250	31	5	5	NUM
app01-8120	250	32	benchmarks	benchmark	NOUN
app01-8120	250	33	6	6	NUM
app01-8120	250	34	results	result	VERB
app01-8120	250	35	7	7	NUM
app01-8120	250	36	conclusion	conclusion	NOUN
app01-8120	250	37	acknowledgements	acknowledgement	NOUN
app01-8120	250	38	references	reference	NOUN