id	sid	tid	token	lemma	pos
app01-4634	1	1	acta	acta	PROPN
app01-4634	1	2	polytechnica	polytechnica	PROPN
app01-4634	1	3	ctu	ctu	PROPN
app01-4634	1	4	proceedings	proceeding	NOUN
app01-4634	1	5	doi:10.14311	doi:10.14311	NOUN
app01-4634	1	6	/	/	SYM
app01-4634	1	7	app.2017.13.0080	app.2017.13.0080	PROPN
app01-4634	1	8	acta	acta	PROPN
app01-4634	1	9	polytechnica	polytechnica	PROPN
app01-4634	1	10	ctu	ctu	NOUN
app01-4634	1	11	proceedings	proceeding	NOUN
app01-4634	1	12	13:80–84	13:80–84	PROPN
app01-4634	1	13	,	,	PUNCT
app01-4634	1	14	2017	2017	NUM
app01-4634	1	15	©	©	PROPN
app01-4634	1	16	czech	czech	PROPN
app01-4634	1	17	technical	technical	PROPN
app01-4634	1	18	university	university	PROPN
app01-4634	1	19	in	in	ADP
app01-4634	1	20	prague	prague	PROPN
app01-4634	1	21	,	,	PUNCT
app01-4634	1	22	2017	2017	NUM
app01-4634	1	23	available	available	ADJ
app01-4634	1	24	online	online	ADV
app01-4634	1	25	at	at	ADP
app01-4634	1	26	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-4634	1	27	adaptive	adaptive	PROPN
app01-4634	1	28	quasicontinuum	quasicontinuum	PROPN
app01-4634	1	29	simulation	simulation	NOUN
app01-4634	1	30	of	of	ADP
app01-4634	1	31	elastic	elastic	ADJ
app01-4634	1	32	-	-	PUNCT
app01-4634	1	33	brittle	brittle	ADJ
app01-4634	1	34	disordered	disordered	ADJ
app01-4634	1	35	lattices	lattice	NOUN
app01-4634	1	36	karel	karel	PROPN
app01-4634	1	37	mikeš∗	mikeš∗	PROPN
app01-4634	1	38	,	,	PUNCT
app01-4634	1	39	milan	milan	PROPN
app01-4634	1	40	jirásek	jirásek	PROPN
app01-4634	1	41	czech	czech	PROPN
app01-4634	1	42	technical	technical	PROPN
app01-4634	1	43	university	university	PROPN
app01-4634	1	44	in	in	ADP
app01-4634	1	45	prague	prague	PROPN
app01-4634	1	46	,	,	PUNCT
app01-4634	1	47	faculty	faculty	NOUN
app01-4634	1	48	of	of	ADP
app01-4634	1	49	civil	civil	ADJ
app01-4634	1	50	engineering	engineering	NOUN
app01-4634	1	51	,	,	PUNCT
app01-4634	1	52	thákurova	thákurova	X
app01-4634	1	53	7	7	NUM
app01-4634	1	54	,	,	PUNCT
app01-4634	1	55	166	166	NUM
app01-4634	1	56	29	29	NUM
app01-4634	1	57	prague	prague	NOUN
app01-4634	1	58	6	6	NUM
app01-4634	1	59	,	,	PUNCT
app01-4634	1	60	czech	czech	PROPN
app01-4634	1	61	republic	republic	NOUN
app01-4634	1	62	∗	∗	NOUN
app01-4634	1	63	corresponding	correspond	VERB
app01-4634	1	64	author	author	NOUN
app01-4634	1	65	:	:	PUNCT
app01-4634	1	66	karel.mikes.1@fsv.cvut.cz	karel.mikes.1@fsv.cvut.cz	X
app01-4634	1	67	abstract	abstract	ADJ
app01-4634	1	68	.	.	PUNCT
app01-4634	2	1	the	the	DET
app01-4634	2	2	quasicontinuum	quasicontinuum	PROPN
app01-4634	2	3	(	(	PUNCT
app01-4634	2	4	qc	qc	PROPN
app01-4634	2	5	)	)	PUNCT
app01-4634	2	6	method	method	NOUN
app01-4634	2	7	is	be	AUX
app01-4634	2	8	a	a	DET
app01-4634	2	9	computational	computational	ADJ
app01-4634	2	10	technique	technique	NOUN
app01-4634	2	11	that	that	PRON
app01-4634	2	12	can	can	AUX
app01-4634	2	13	efficiently	efficiently	ADV
app01-4634	2	14	handle	handle	VERB
app01-4634	2	15	atomistic	atomistic	ADJ
app01-4634	2	16	lattices	lattice	NOUN
app01-4634	2	17	by	by	ADP
app01-4634	2	18	combining	combine	VERB
app01-4634	2	19	continuum	continuum	ADJ
app01-4634	2	20	and	and	CCONJ
app01-4634	2	21	atomistic	atomistic	ADJ
app01-4634	2	22	approaches	approach	NOUN
app01-4634	2	23	.	.	PUNCT
app01-4634	3	1	in	in	ADP
app01-4634	3	2	this	this	DET
app01-4634	3	3	work	work	NOUN
app01-4634	3	4	,	,	PUNCT
app01-4634	3	5	the	the	DET
app01-4634	3	6	qc	qc	PROPN
app01-4634	3	7	method	method	NOUN
app01-4634	3	8	is	be	AUX
app01-4634	3	9	combined	combine	VERB
app01-4634	3	10	with	with	ADP
app01-4634	3	11	an	an	DET
app01-4634	3	12	adaptive	adaptive	ADJ
app01-4634	3	13	algorithm	algorithm	NOUN
app01-4634	3	14	,	,	PUNCT
app01-4634	3	15	to	to	PART
app01-4634	3	16	obtain	obtain	VERB
app01-4634	3	17	correct	correct	ADJ
app01-4634	3	18	predictions	prediction	NOUN
app01-4634	3	19	of	of	ADP
app01-4634	3	20	crack	crack	NOUN
app01-4634	3	21	trajectories	trajectory	NOUN
app01-4634	3	22	in	in	ADP
app01-4634	3	23	failure	failure	NOUN
app01-4634	3	24	simulations	simulation	NOUN
app01-4634	3	25	.	.	PUNCT
app01-4634	4	1	numerical	numerical	ADJ
app01-4634	4	2	simulations	simulation	NOUN
app01-4634	4	3	of	of	ADP
app01-4634	4	4	crack	crack	VERB
app01-4634	4	5	propagation	propagation	NOUN
app01-4634	4	6	in	in	ADP
app01-4634	4	7	elastic	elastic	ADJ
app01-4634	4	8	-	-	PUNCT
app01-4634	4	9	brittle	brittle	ADJ
app01-4634	4	10	disordered	disordered	ADJ
app01-4634	4	11	lattices	lattice	NOUN
app01-4634	4	12	are	be	AUX
app01-4634	4	13	performed	perform	VERB
app01-4634	4	14	for	for	ADP
app01-4634	4	15	a	a	DET
app01-4634	4	16	two	two	NUM
app01-4634	4	17	-	-	PUNCT
app01-4634	4	18	dimensional	dimensional	ADJ
app01-4634	4	19	example	example	NOUN
app01-4634	4	20	.	.	PUNCT
app01-4634	5	1	the	the	DET
app01-4634	5	2	obtained	obtain	VERB
app01-4634	5	3	results	result	NOUN
app01-4634	5	4	are	be	AUX
app01-4634	5	5	compared	compare	VERB
app01-4634	5	6	with	with	ADP
app01-4634	5	7	the	the	DET
app01-4634	5	8	fully	fully	ADV
app01-4634	5	9	resolved	resolve	VERB
app01-4634	5	10	particle	particle	NOUN
app01-4634	5	11	model	model	NOUN
app01-4634	5	12	.	.	PUNCT
app01-4634	6	1	it	it	PRON
app01-4634	6	2	is	be	AUX
app01-4634	6	3	shown	show	VERB
app01-4634	6	4	that	that	SCONJ
app01-4634	6	5	the	the	DET
app01-4634	6	6	adaptive	adaptive	ADJ
app01-4634	6	7	qc	qc	PROPN
app01-4634	6	8	simulation	simulation	NOUN
app01-4634	6	9	provides	provide	VERB
app01-4634	6	10	a	a	DET
app01-4634	6	11	significant	significant	ADJ
app01-4634	6	12	reduction	reduction	NOUN
app01-4634	6	13	of	of	ADP
app01-4634	6	14	the	the	DET
app01-4634	6	15	computational	computational	ADJ
app01-4634	6	16	demand	demand	NOUN
app01-4634	6	17	.	.	PUNCT
app01-4634	7	1	at	at	ADP
app01-4634	7	2	the	the	DET
app01-4634	7	3	same	same	ADJ
app01-4634	7	4	time	time	NOUN
app01-4634	7	5	,	,	PUNCT
app01-4634	7	6	the	the	DET
app01-4634	7	7	macroscopic	macroscopic	ADJ
app01-4634	7	8	crack	crack	NOUN
app01-4634	7	9	trajectories	trajectory	NOUN
app01-4634	7	10	and	and	CCONJ
app01-4634	7	11	the	the	DET
app01-4634	7	12	shape	shape	NOUN
app01-4634	7	13	of	of	ADP
app01-4634	7	14	the	the	DET
app01-4634	7	15	force	force	NOUN
app01-4634	7	16	-	-	PUNCT
app01-4634	7	17	displacement	displacement	ADJ
app01-4634	7	18	diagram	diagram	NOUN
app01-4634	7	19	are	be	AUX
app01-4634	7	20	very	very	ADV
app01-4634	7	21	well	well	ADV
app01-4634	7	22	captured	capture	VERB
app01-4634	7	23	.	.	PUNCT
app01-4634	8	1	keywords	keyword	NOUN
app01-4634	8	2	:	:	PUNCT
app01-4634	8	3	quasicontinuum	quasicontinuum	PROPN
app01-4634	8	4	method	method	NOUN
app01-4634	8	5	,	,	PUNCT
app01-4634	8	6	adaptive	adaptive	ADJ
app01-4634	8	7	crack	crack	NOUN
app01-4634	8	8	propagation	propagation	NOUN
app01-4634	8	9	,	,	PUNCT
app01-4634	8	10	elastic	elastic	ADJ
app01-4634	8	11	-	-	PUNCT
app01-4634	8	12	brittle	brittle	ADJ
app01-4634	8	13	lattice	lattice	NOUN
app01-4634	8	14	model	model	NOUN
app01-4634	8	15	.	.	PUNCT
app01-4634	9	1	1	1	X
app01-4634	9	2	.	.	X
app01-4634	9	3	introduction	introduction	NOUN
app01-4634	9	4	discrete	discrete	ADJ
app01-4634	9	5	particle	particle	NOUN
app01-4634	9	6	models	model	NOUN
app01-4634	9	7	can	can	AUX
app01-4634	9	8	effectively	effectively	ADV
app01-4634	9	9	capture	capture	VERB
app01-4634	9	10	complex	complex	ADJ
app01-4634	9	11	material	material	NOUN
app01-4634	9	12	responses	response	NOUN
app01-4634	9	13	,	,	PUNCT
app01-4634	9	14	especially	especially	ADV
app01-4634	9	15	localized	localized	ADJ
app01-4634	9	16	phenomena	phenomenon	NOUN
app01-4634	9	17	such	such	ADJ
app01-4634	9	18	as	as	ADP
app01-4634	9	19	damage	damage	NOUN
app01-4634	9	20	or	or	CCONJ
app01-4634	9	21	plastic	plastic	NOUN
app01-4634	9	22	softening	softening	NOUN
app01-4634	9	23	.	.	PUNCT
app01-4634	10	1	the	the	DET
app01-4634	10	2	main	main	ADJ
app01-4634	10	3	disadvantage	disadvantage	NOUN
app01-4634	10	4	of	of	ADP
app01-4634	10	5	particle	particle	NOUN
app01-4634	10	6	-	-	PUNCT
app01-4634	10	7	based	base	VERB
app01-4634	10	8	approaches	approach	NOUN
app01-4634	10	9	is	be	AUX
app01-4634	10	10	that	that	SCONJ
app01-4634	10	11	a	a	DET
app01-4634	10	12	huge	huge	ADJ
app01-4634	10	13	number	number	NOUN
app01-4634	10	14	of	of	ADP
app01-4634	10	15	particles	particle	NOUN
app01-4634	10	16	is	be	AUX
app01-4634	10	17	needed	need	VERB
app01-4634	10	18	to	to	PART
app01-4634	10	19	describe	describe	VERB
app01-4634	10	20	the	the	DET
app01-4634	10	21	response	response	NOUN
app01-4634	10	22	of	of	ADP
app01-4634	10	23	large	large	ADJ
app01-4634	10	24	-	-	PUNCT
app01-4634	10	25	scale	scale	NOUN
app01-4634	10	26	physically	physically	ADV
app01-4634	10	27	relevant	relevant	ADJ
app01-4634	10	28	models	model	NOUN
app01-4634	10	29	.	.	PUNCT
app01-4634	11	1	this	this	DET
app01-4634	11	2	results	result	VERB
app01-4634	11	3	in	in	ADP
app01-4634	11	4	an	an	DET
app01-4634	11	5	extensive	extensive	ADJ
app01-4634	11	6	system	system	NOUN
app01-4634	11	7	of	of	ADP
app01-4634	11	8	equations	equation	NOUN
app01-4634	11	9	,	,	PUNCT
app01-4634	11	10	which	which	PRON
app01-4634	11	11	is	be	AUX
app01-4634	11	12	expensive	expensive	ADJ
app01-4634	11	13	to	to	PART
app01-4634	11	14	solve	solve	VERB
app01-4634	11	15	.	.	PUNCT
app01-4634	12	1	furthermore	furthermore	ADV
app01-4634	12	2	,	,	PUNCT
app01-4634	12	3	the	the	DET
app01-4634	12	4	process	process	NOUN
app01-4634	12	5	of	of	ADP
app01-4634	12	6	assembling	assemble	VERB
app01-4634	12	7	this	this	DET
app01-4634	12	8	system	system	NOUN
app01-4634	12	9	is	be	AUX
app01-4634	12	10	also	also	ADV
app01-4634	12	11	computationally	computationally	ADV
app01-4634	12	12	expensive	expensive	ADJ
app01-4634	12	13	because	because	SCONJ
app01-4634	12	14	all	all	DET
app01-4634	12	15	discrete	discrete	ADJ
app01-4634	12	16	connections	connection	NOUN
app01-4634	12	17	must	must	AUX
app01-4634	12	18	be	be	AUX
app01-4634	12	19	individually	individually	ADV
app01-4634	12	20	taken	take	VERB
app01-4634	12	21	into	into	ADP
app01-4634	12	22	account	account	NOUN
app01-4634	12	23	.	.	PUNCT
app01-4634	13	1	a	a	DET
app01-4634	13	2	quasicontinuum	quasicontinuum	PROPN
app01-4634	13	3	(	(	PUNCT
app01-4634	13	4	qc	qc	PROPN
app01-4634	13	5	)	)	PUNCT
app01-4634	13	6	based	base	VERB
app01-4634	13	7	method	method	NOUN
app01-4634	13	8	can	can	AUX
app01-4634	13	9	remove	remove	VERB
app01-4634	13	10	both	both	PRON
app01-4634	13	11	of	of	ADP
app01-4634	13	12	these	these	DET
app01-4634	13	13	disadvantages	disadvantage	NOUN
app01-4634	13	14	by	by	ADP
app01-4634	13	15	combining	combine	VERB
app01-4634	13	16	continuum	continuum	ADJ
app01-4634	13	17	and	and	CCONJ
app01-4634	13	18	atomistic	atomistic	ADJ
app01-4634	13	19	approaches	approach	NOUN
app01-4634	13	20	.	.	PUNCT
app01-4634	14	1	in	in	ADP
app01-4634	14	2	order	order	NOUN
app01-4634	14	3	to	to	PART
app01-4634	14	4	simulate	simulate	VERB
app01-4634	14	5	crack	crack	NOUN
app01-4634	14	6	propagation	propagation	NOUN
app01-4634	14	7	,	,	PUNCT
app01-4634	14	8	the	the	DET
app01-4634	14	9	qc	qc	PROPN
app01-4634	14	10	method	method	NOUN
app01-4634	14	11	needs	need	VERB
app01-4634	14	12	to	to	PART
app01-4634	14	13	be	be	AUX
app01-4634	14	14	combined	combine	VERB
app01-4634	14	15	with	with	ADP
app01-4634	14	16	an	an	DET
app01-4634	14	17	adaptive	adaptive	ADJ
app01-4634	14	18	algorithm	algorithm	NOUN
app01-4634	14	19	that	that	PRON
app01-4634	14	20	allows	allow	VERB
app01-4634	14	21	crack	crack	VERB
app01-4634	14	22	growth	growth	NOUN
app01-4634	14	23	in	in	ADP
app01-4634	14	24	arbitrary	arbitrary	ADJ
app01-4634	14	25	directions	direction	NOUN
app01-4634	14	26	and	and	CCONJ
app01-4634	14	27	initialization	initialization	NOUN
app01-4634	14	28	of	of	ADP
app01-4634	14	29	new	new	ADJ
app01-4634	14	30	cracks	crack	NOUN
app01-4634	14	31	.	.	PUNCT
app01-4634	15	1	in	in	ADP
app01-4634	15	2	this	this	DET
app01-4634	15	3	work	work	NOUN
app01-4634	15	4	,	,	PUNCT
app01-4634	15	5	the	the	DET
app01-4634	15	6	material	material	NOUN
app01-4634	15	7	is	be	AUX
app01-4634	15	8	represented	represent	VERB
app01-4634	15	9	by	by	ADP
app01-4634	15	10	particles	particle	NOUN
app01-4634	15	11	interacting	interact	VERB
app01-4634	15	12	via	via	ADP
app01-4634	15	13	elastic	elastic	ADJ
app01-4634	15	14	-	-	PUNCT
app01-4634	15	15	brittle	brittle	ADJ
app01-4634	15	16	links	link	NOUN
app01-4634	15	17	forming	form	VERB
app01-4634	15	18	a	a	DET
app01-4634	15	19	disordered	disordered	ADJ
app01-4634	15	20	two	two	NUM
app01-4634	15	21	-	-	PUNCT
app01-4634	15	22	dimensional	dimensional	ADJ
app01-4634	15	23	lattice	lattice	NOUN
app01-4634	15	24	.	.	PUNCT
app01-4634	16	1	only	only	ADV
app01-4634	16	2	axial	axial	ADJ
app01-4634	16	3	interaction	interaction	NOUN
app01-4634	16	4	between	between	ADP
app01-4634	16	5	particles	particle	NOUN
app01-4634	16	6	is	be	AUX
app01-4634	16	7	considered	consider	VERB
app01-4634	16	8	and	and	CCONJ
app01-4634	16	9	the	the	DET
app01-4634	16	10	behavior	behavior	NOUN
app01-4634	16	11	of	of	ADP
app01-4634	16	12	links	link	NOUN
app01-4634	16	13	is	be	AUX
app01-4634	16	14	assumed	assume	VERB
app01-4634	16	15	to	to	PART
app01-4634	16	16	be	be	AUX
app01-4634	16	17	perfectly	perfectly	ADV
app01-4634	16	18	elastic	elastic	ADJ
app01-4634	16	19	-	-	PUNCT
app01-4634	16	20	brittle	brittle	ADJ
app01-4634	16	21	,	,	PUNCT
app01-4634	16	22	with	with	ADP
app01-4634	16	23	link	link	NOUN
app01-4634	16	24	breakage	breakage	NOUN
app01-4634	16	25	occurring	occur	VERB
app01-4634	16	26	at	at	ADP
app01-4634	16	27	a	a	DET
app01-4634	16	28	critical	critical	ADJ
app01-4634	16	29	level	level	NOUN
app01-4634	16	30	of	of	ADP
app01-4634	16	31	tensile	tensile	NOUN
app01-4634	16	32	strain	strain	NOUN
app01-4634	16	33	.	.	PUNCT
app01-4634	17	1	2	2	X
app01-4634	17	2	.	.	X
app01-4634	17	3	qc	qc	PROPN
app01-4634	17	4	method	method	PROPN
app01-4634	17	5	the	the	DET
app01-4634	17	6	qc	qc	PROPN
app01-4634	17	7	method	method	NOUN
app01-4634	17	8	can	can	AUX
app01-4634	17	9	efficiently	efficiently	ADV
app01-4634	17	10	handle	handle	VERB
app01-4634	17	11	high	high	ADJ
app01-4634	17	12	-	-	PUNCT
app01-4634	17	13	resolution	resolution	NOUN
app01-4634	17	14	particle	particle	NOUN
app01-4634	17	15	models	model	NOUN
app01-4634	17	16	by	by	ADP
app01-4634	17	17	combining	combine	VERB
app01-4634	17	18	continuum	continuum	ADJ
app01-4634	17	19	and	and	CCONJ
app01-4634	17	20	discrete	discrete	ADJ
app01-4634	17	21	approaches	approach	NOUN
app01-4634	17	22	.	.	PUNCT
app01-4634	18	1	this	this	DET
app01-4634	18	2	method	method	NOUN
app01-4634	18	3	was	be	AUX
app01-4634	18	4	originally	originally	ADV
app01-4634	18	5	proposed	propose	VERB
app01-4634	18	6	in	in	ADP
app01-4634	18	7	1996	1996	NUM
app01-4634	18	8	[	[	X
app01-4634	18	9	1	1	X
app01-4634	18	10	]	]	PUNCT
app01-4634	18	11	for	for	ADP
app01-4634	18	12	regular	regular	ADJ
app01-4634	18	13	atomistic	atomistic	ADJ
app01-4634	18	14	lattices	lattice	NOUN
app01-4634	18	15	with	with	ADP
app01-4634	18	16	long	long	ADJ
app01-4634	18	17	-	-	PUNCT
app01-4634	18	18	range	range	NOUN
app01-4634	18	19	interactions	interaction	NOUN
app01-4634	18	20	.	.	PUNCT
app01-4634	19	1	since	since	SCONJ
app01-4634	19	2	that	that	DET
app01-4634	19	3	time	time	NOUN
app01-4634	19	4	,	,	PUNCT
app01-4634	19	5	the	the	DET
app01-4634	19	6	qc	qc	PROPN
app01-4634	19	7	method	method	NOUN
app01-4634	19	8	has	have	AUX
app01-4634	19	9	been	be	AUX
app01-4634	19	10	widely	widely	ADV
app01-4634	19	11	used	use	VERB
app01-4634	19	12	and	and	CCONJ
app01-4634	19	13	extended	extend	VERB
app01-4634	19	14	to	to	ADP
app01-4634	19	15	applications	application	NOUN
app01-4634	19	16	for	for	ADP
app01-4634	19	17	a	a	DET
app01-4634	19	18	variety	variety	NOUN
app01-4634	19	19	of	of	ADP
app01-4634	19	20	materials	material	NOUN
app01-4634	19	21	represented	represent	VERB
app01-4634	19	22	by	by	ADP
app01-4634	19	23	regular	regular	ADJ
app01-4634	19	24	lattices	lattice	NOUN
app01-4634	19	25	[	[	X
app01-4634	19	26	2	2	NUM
app01-4634	19	27	]	]	PUNCT
app01-4634	19	28	.	.	PUNCT
app01-4634	20	1	an	an	DET
app01-4634	20	2	extension	extension	NOUN
app01-4634	20	3	of	of	ADP
app01-4634	20	4	the	the	DET
app01-4634	20	5	qc	qc	PROPN
app01-4634	20	6	method	method	NOUN
app01-4634	20	7	to	to	ADP
app01-4634	20	8	irregular	irregular	ADJ
app01-4634	20	9	lattices	lattice	NOUN
app01-4634	20	10	has	have	AUX
app01-4634	20	11	recently	recently	ADV
app01-4634	20	12	been	be	AUX
app01-4634	20	13	developed	develop	VERB
app01-4634	20	14	by	by	ADP
app01-4634	20	15	the	the	DET
app01-4634	20	16	authors	author	NOUN
app01-4634	20	17	[	[	X
app01-4634	20	18	3	3	NUM
app01-4634	20	19	]	]	PUNCT
app01-4634	20	20	.	.	PUNCT
app01-4634	21	1	the	the	DET
app01-4634	21	2	main	main	ADJ
app01-4634	21	3	idea	idea	NOUN
app01-4634	21	4	of	of	ADP
app01-4634	21	5	the	the	DET
app01-4634	21	6	qc	qc	PROPN
app01-4634	21	7	method	method	NOUN
app01-4634	21	8	is	be	AUX
app01-4634	21	9	to	to	PART
app01-4634	21	10	reduce	reduce	VERB
app01-4634	21	11	the	the	DET
app01-4634	21	12	number	number	NOUN
app01-4634	21	13	of	of	ADP
app01-4634	21	14	degrees	degree	NOUN
app01-4634	21	15	of	of	ADP
app01-4634	21	16	freedom	freedom	NOUN
app01-4634	21	17	(	(	PUNCT
app01-4634	21	18	dofs	dofs	NOUN
app01-4634	21	19	)	)	PUNCT
app01-4634	21	20	and	and	CCONJ
app01-4634	21	21	the	the	DET
app01-4634	21	22	associated	associated	ADJ
app01-4634	21	23	computational	computational	ADJ
app01-4634	21	24	cost	cost	NOUN
app01-4634	21	25	without	without	ADP
app01-4634	21	26	losing	lose	VERB
app01-4634	21	27	the	the	DET
app01-4634	21	28	exact	exact	ADJ
app01-4634	21	29	atomistic	atomistic	ADJ
app01-4634	21	30	description	description	NOUN
app01-4634	21	31	in	in	ADP
app01-4634	21	32	regions	region	NOUN
app01-4634	21	33	of	of	ADP
app01-4634	21	34	interest	interest	NOUN
app01-4634	21	35	.	.	PUNCT
app01-4634	22	1	therefore	therefore	ADV
app01-4634	22	2	,	,	PUNCT
app01-4634	22	3	two	two	NUM
app01-4634	22	4	types	type	NOUN
app01-4634	22	5	of	of	ADP
app01-4634	22	6	regions	region	NOUN
app01-4634	22	7	in	in	ADP
app01-4634	22	8	the	the	DET
app01-4634	22	9	investigated	investigate	VERB
app01-4634	22	10	domain	domain	NOUN
app01-4634	22	11	are	be	AUX
app01-4634	22	12	considered	consider	VERB
app01-4634	22	13	.	.	PUNCT
app01-4634	23	1	in	in	ADP
app01-4634	23	2	regions	region	NOUN
app01-4634	23	3	of	of	ADP
app01-4634	23	4	high	high	ADJ
app01-4634	23	5	interest	interest	NOUN
app01-4634	23	6	,	,	PUNCT
app01-4634	23	7	the	the	DET
app01-4634	23	8	pure	pure	ADJ
app01-4634	23	9	particle	particle	NOUN
app01-4634	23	10	approach	approach	NOUN
app01-4634	23	11	is	be	AUX
app01-4634	23	12	used	use	VERB
app01-4634	23	13	and	and	CCONJ
app01-4634	23	14	all	all	DET
app01-4634	23	15	particles	particle	NOUN
app01-4634	23	16	carry	carry	VERB
app01-4634	23	17	their	their	PRON
app01-4634	23	18	own	own	ADJ
app01-4634	23	19	independent	independent	ADJ
app01-4634	23	20	dofs	dof	NOUN
app01-4634	23	21	.	.	PUNCT
app01-4634	24	1	by	by	ADP
app01-4634	24	2	contrast	contrast	NOUN
app01-4634	24	3	,	,	PUNCT
app01-4634	24	4	in	in	ADP
app01-4634	24	5	regions	region	NOUN
app01-4634	24	6	of	of	ADP
app01-4634	24	7	low	low	ADJ
app01-4634	24	8	interest	interest	NOUN
app01-4634	24	9	,	,	PUNCT
app01-4634	24	10	continuum	continuum	ADJ
app01-4634	24	11	assumptions	assumption	NOUN
app01-4634	24	12	are	be	AUX
app01-4634	24	13	applied	apply	VERB
app01-4634	24	14	and	and	CCONJ
app01-4634	24	15	the	the	DET
app01-4634	24	16	computational	computational	ADJ
app01-4634	24	17	model	model	NOUN
app01-4634	24	18	is	be	AUX
app01-4634	24	19	significantly	significantly	ADV
app01-4634	24	20	simplified	simplify	VERB
app01-4634	24	21	.	.	PUNCT
app01-4634	25	1	the	the	DET
app01-4634	25	2	procedure	procedure	NOUN
app01-4634	25	3	that	that	PRON
app01-4634	25	4	results	result	VERB
app01-4634	25	5	from	from	ADP
app01-4634	25	6	the	the	DET
app01-4634	25	7	qc	qc	PROPN
app01-4634	25	8	method	method	NOUN
app01-4634	25	9	can	can	AUX
app01-4634	25	10	be	be	AUX
app01-4634	25	11	briefly	briefly	ADV
app01-4634	25	12	presented	present	VERB
app01-4634	25	13	in	in	ADP
app01-4634	25	14	the	the	DET
app01-4634	25	15	following	follow	VERB
app01-4634	25	16	three	three	NUM
app01-4634	25	17	steps	step	NOUN
app01-4634	25	18	:	:	PUNCT
app01-4634	25	19	(	(	PUNCT
app01-4634	25	20	1	1	NUM
app01-4634	25	21	.	.	X
app01-4634	25	22	)	)	PUNCT
app01-4634	25	23	interpolation	interpolation	NOUN
app01-4634	25	24	(	(	PUNCT
app01-4634	25	25	2	2	NUM
app01-4634	25	26	.	.	NUM
app01-4634	25	27	)	)	PUNCT
app01-4634	25	28	summation	summation	NOUN
app01-4634	25	29	(	(	PUNCT
app01-4634	25	30	3	3	NUM
app01-4634	25	31	.	.	PUNCT
app01-4634	25	32	)	)	PUNCT
app01-4634	25	33	adaptivity	adaptivity	NOUN
app01-4634	25	34	2.1	2.1	NUM
app01-4634	25	35	.	.	PUNCT
app01-4634	26	1	interpolation	interpolation	NOUN
app01-4634	26	2	interpolation	interpolation	NOUN
app01-4634	26	3	of	of	ADP
app01-4634	26	4	dofs	dof	NOUN
app01-4634	26	5	is	be	AUX
app01-4634	26	6	used	use	VERB
app01-4634	26	7	in	in	ADP
app01-4634	26	8	regions	region	NOUN
app01-4634	26	9	of	of	ADP
app01-4634	26	10	low	low	ADJ
app01-4634	26	11	interest	interest	NOUN
app01-4634	26	12	.	.	PUNCT
app01-4634	27	1	to	to	PART
app01-4634	27	2	simplify	simplify	VERB
app01-4634	27	3	the	the	DET
app01-4634	27	4	full	full	ADJ
app01-4634	27	5	particle	particle	NOUN
app01-4634	27	6	model	model	NOUN
app01-4634	27	7	,	,	PUNCT
app01-4634	27	8	only	only	ADV
app01-4634	27	9	a	a	DET
app01-4634	27	10	small	small	ADJ
app01-4634	27	11	subset	subset	NOUN
app01-4634	27	12	of	of	ADP
app01-4634	27	13	particles	particle	NOUN
app01-4634	27	14	is	be	AUX
app01-4634	27	15	selected	select	VERB
app01-4634	27	16	to	to	PART
app01-4634	27	17	represent	represent	VERB
app01-4634	27	18	the	the	DET
app01-4634	27	19	entire	entire	ADJ
app01-4634	27	20	system	system	NOUN
app01-4634	27	21	.	.	PUNCT
app01-4634	28	1	these	these	DET
app01-4634	28	2	so	so	ADV
app01-4634	28	3	-	-	PUNCT
app01-4634	28	4	called	call	VERB
app01-4634	28	5	repnodes	repnode	NOUN
app01-4634	28	6	serve	serve	VERB
app01-4634	28	7	as	as	ADP
app01-4634	28	8	the	the	DET
app01-4634	28	9	nodes	node	NOUN
app01-4634	28	10	of	of	ADP
app01-4634	28	11	a	a	DET
app01-4634	28	12	background	background	NOUN
app01-4634	28	13	triangular	triangular	NOUN
app01-4634	28	14	mesh	mesh	NOUN
app01-4634	28	15	that	that	PRON
app01-4634	28	16	is	be	AUX
app01-4634	28	17	used	use	VERB
app01-4634	28	18	to	to	PART
app01-4634	28	19	interpolate	interpolate	VERB
app01-4634	28	20	the	the	DET
app01-4634	28	21	dofs	dof	NOUN
app01-4634	28	22	of	of	ADP
app01-4634	28	23	other	other	ADJ
app01-4634	28	24	particles	particle	NOUN
app01-4634	28	25	in	in	ADP
app01-4634	28	26	regions	region	NOUN
app01-4634	28	27	of	of	ADP
app01-4634	28	28	low	low	ADJ
app01-4634	28	29	interest	interest	NOUN
app01-4634	28	30	.	.	PUNCT
app01-4634	29	1	on	on	ADP
app01-4634	29	2	the	the	DET
app01-4634	29	3	other	other	ADJ
app01-4634	29	4	hand	hand	NOUN
app01-4634	29	5	,	,	PUNCT
app01-4634	29	6	in	in	ADP
app01-4634	29	7	regions	region	NOUN
app01-4634	29	8	of	of	ADP
app01-4634	29	9	high	high	ADJ
app01-4634	29	10	interest	interest	NOUN
app01-4634	29	11	,	,	PUNCT
app01-4634	29	12	all	all	DET
app01-4634	29	13	particles	particle	NOUN
app01-4634	29	14	are	be	AUX
app01-4634	29	15	selected	select	VERB
app01-4634	29	16	as	as	ADP
app01-4634	29	17	repnodes	repnode	NOUN
app01-4634	29	18	to	to	PART
app01-4634	29	19	provide	provide	VERB
app01-4634	29	20	the	the	DET
app01-4634	29	21	exact	exact	ADJ
app01-4634	29	22	particle	particle	NOUN
app01-4634	29	23	representation	representation	NOUN
app01-4634	29	24	.	.	PUNCT
app01-4634	30	1	this	this	DET
app01-4634	30	2	interpolation	interpolation	NOUN
app01-4634	30	3	leads	lead	VERB
app01-4634	30	4	to	to	ADP
app01-4634	30	5	a	a	DET
app01-4634	30	6	significant	significant	ADJ
app01-4634	30	7	reduction	reduction	NOUN
app01-4634	30	8	of	of	ADP
app01-4634	30	9	the	the	DET
app01-4634	30	10	number	number	NOUN
app01-4634	30	11	of	of	ADP
app01-4634	30	12	dofs	dof	NOUN
app01-4634	30	13	without	without	ADP
app01-4634	30	14	losing	lose	VERB
app01-4634	30	15	the	the	DET
app01-4634	30	16	exact	exact	ADJ
app01-4634	30	17	particle	particle	NOUN
app01-4634	30	18	description	description	NOUN
app01-4634	30	19	in	in	ADP
app01-4634	30	20	regions	region	NOUN
app01-4634	30	21	where	where	SCONJ
app01-4634	30	22	a	a	DET
app01-4634	30	23	high	high	ADJ
app01-4634	30	24	resolution	resolution	NOUN
app01-4634	30	25	is	be	AUX
app01-4634	30	26	needed	need	VERB
app01-4634	30	27	.	.	PUNCT
app01-4634	31	1	2.2	2.2	NUM
app01-4634	31	2	.	.	PUNCT
app01-4634	31	3	summation	summation	NOUN
app01-4634	31	4	the	the	DET
app01-4634	31	5	interpolation	interpolation	NOUN
app01-4634	31	6	provides	provide	VERB
app01-4634	31	7	a	a	DET
app01-4634	31	8	significant	significant	ADJ
app01-4634	31	9	reduction	reduction	NOUN
app01-4634	31	10	of	of	ADP
app01-4634	31	11	the	the	DET
app01-4634	31	12	number	number	NOUN
app01-4634	31	13	of	of	ADP
app01-4634	31	14	dofs	dof	NOUN
app01-4634	31	15	but	but	CCONJ
app01-4634	31	16	all	all	DET
app01-4634	31	17	particles	particle	NOUN
app01-4634	31	18	still	still	ADV
app01-4634	31	19	need	need	VERB
app01-4634	31	20	to	to	PART
app01-4634	31	21	be	be	AUX
app01-4634	31	22	visited	visit	VERB
app01-4634	31	23	to	to	PART
app01-4634	31	24	construct	construct	VERB
app01-4634	31	25	the	the	DET
app01-4634	31	26	system	system	NOUN
app01-4634	31	27	of	of	ADP
app01-4634	31	28	governing	govern	VERB
app01-4634	31	29	equations	equation	NOUN
app01-4634	31	30	,	,	PUNCT
app01-4634	31	31	which	which	PRON
app01-4634	31	32	makes	make	VERB
app01-4634	31	33	the	the	DET
app01-4634	31	34	process	process	NOUN
app01-4634	31	35	computationally	computationally	ADV
app01-4634	31	36	expensive	expensive	ADJ
app01-4634	31	37	.	.	PUNCT
app01-4634	32	1	80	80	NUM
app01-4634	32	2	http://dx.doi.org/10.14311/app.2017.13.0080	http://dx.doi.org/10.14311/app.2017.13.0080	PROPN
app01-4634	32	3	http://ojs.cvut.cz/ojs/index.php/app	http://ojs.cvut.cz/ojs/index.php/app	NOUN
app01-4634	32	4	vol	vol	NOUN
app01-4634	32	5	.	.	PUNCT
app01-4634	33	1	13/2017	13/2017	NUM
app01-4634	33	2	adaptive	adaptive	ADJ
app01-4634	33	3	quasicontinuum	quasicontinuum	PROPN
app01-4634	33	4	simulation	simulation	NOUN
app01-4634	33	5	of	of	ADP
app01-4634	33	6	disordered	disordered	ADJ
app01-4634	33	7	lattices	lattice	NOUN
app01-4634	33	8	the	the	DET
app01-4634	33	9	summation	summation	NOUN
app01-4634	33	10	rule	rule	NOUN
app01-4634	33	11	can	can	AUX
app01-4634	33	12	be	be	AUX
app01-4634	33	13	applied	apply	VERB
app01-4634	33	14	in	in	ADP
app01-4634	33	15	order	order	NOUN
app01-4634	33	16	to	to	PART
app01-4634	33	17	eliminate	eliminate	VERB
app01-4634	33	18	the	the	DET
app01-4634	33	19	requirement	requirement	NOUN
app01-4634	33	20	of	of	ADP
app01-4634	33	21	visiting	visit	VERB
app01-4634	33	22	all	all	DET
app01-4634	33	23	particles	particle	NOUN
app01-4634	33	24	during	during	ADP
app01-4634	33	25	the	the	DET
app01-4634	33	26	assembly	assembly	NOUN
app01-4634	33	27	of	of	ADP
app01-4634	33	28	the	the	DET
app01-4634	33	29	system	system	NOUN
app01-4634	33	30	.	.	PUNCT
app01-4634	34	1	if	if	SCONJ
app01-4634	34	2	the	the	DET
app01-4634	34	3	summation	summation	NOUN
app01-4634	34	4	rule	rule	NOUN
app01-4634	34	5	is	be	AUX
app01-4634	34	6	adopted	adopt	VERB
app01-4634	34	7	,	,	PUNCT
app01-4634	34	8	the	the	DET
app01-4634	34	9	contribution	contribution	NOUN
app01-4634	34	10	of	of	ADP
app01-4634	34	11	all	all	DET
app01-4634	34	12	particles	particle	NOUN
app01-4634	34	13	in	in	ADP
app01-4634	34	14	each	each	DET
app01-4634	34	15	interpolation	interpolation	NOUN
app01-4634	34	16	triangle	triangle	NOUN
app01-4634	34	17	is	be	AUX
app01-4634	34	18	estimated	estimate	VERB
app01-4634	34	19	based	base	VERB
app01-4634	34	20	on	on	ADP
app01-4634	34	21	sampling	sampling	NOUN
app01-4634	34	22	of	of	ADP
app01-4634	34	23	the	the	DET
app01-4634	34	24	links	link	NOUN
app01-4634	34	25	that	that	PRON
app01-4634	34	26	surround	surround	VERB
app01-4634	34	27	one	one	NUM
app01-4634	34	28	single	single	ADJ
app01-4634	34	29	particle	particle	NOUN
app01-4634	34	30	and	and	CCONJ
app01-4634	34	31	properly	properly	ADV
app01-4634	34	32	scaling	scale	VERB
app01-4634	34	33	the	the	DET
app01-4634	34	34	contribution	contribution	NOUN
app01-4634	34	35	.	.	PUNCT
app01-4634	35	1	this	this	PRON
app01-4634	35	2	makes	make	VERB
app01-4634	35	3	the	the	DET
app01-4634	35	4	computational	computational	ADJ
app01-4634	35	5	process	process	NOUN
app01-4634	35	6	faster	fast	ADV
app01-4634	35	7	but	but	CCONJ
app01-4634	35	8	some	some	DET
app01-4634	35	9	problems	problem	NOUN
app01-4634	35	10	can	can	AUX
app01-4634	35	11	occur	occur	VERB
app01-4634	35	12	on	on	ADP
app01-4634	35	13	the	the	DET
app01-4634	35	14	interface	interface	NOUN
app01-4634	35	15	between	between	ADP
app01-4634	35	16	regions	region	NOUN
app01-4634	35	17	of	of	ADP
app01-4634	35	18	high	high	ADJ
app01-4634	35	19	and	and	CCONJ
app01-4634	35	20	low	low	ADJ
app01-4634	35	21	interest	interest	NOUN
app01-4634	35	22	.	.	PUNCT
app01-4634	36	1	because	because	SCONJ
app01-4634	36	2	of	of	ADP
app01-4634	36	3	the	the	DET
app01-4634	36	4	interpolation	interpolation	NOUN
app01-4634	36	5	and	and	CCONJ
app01-4634	36	6	the	the	DET
app01-4634	36	7	summation	summation	NOUN
app01-4634	36	8	,	,	PUNCT
app01-4634	36	9	the	the	DET
app01-4634	36	10	deformation	deformation	NOUN
app01-4634	36	11	is	be	AUX
app01-4634	36	12	considered	consider	VERB
app01-4634	36	13	as	as	ADV
app01-4634	36	14	constant	constant	ADJ
app01-4634	36	15	within	within	ADP
app01-4634	36	16	each	each	DET
app01-4634	36	17	interpolation	interpolation	NOUN
app01-4634	36	18	element	element	NOUN
app01-4634	36	19	in	in	ADP
app01-4634	36	20	the	the	DET
app01-4634	36	21	regions	region	NOUN
app01-4634	36	22	of	of	ADP
app01-4634	36	23	low	low	ADJ
app01-4634	36	24	interest	interest	NOUN
app01-4634	36	25	while	while	SCONJ
app01-4634	36	26	the	the	DET
app01-4634	36	27	deformations	deformation	NOUN
app01-4634	36	28	of	of	ADP
app01-4634	36	29	individual	individual	ADJ
app01-4634	36	30	links	link	NOUN
app01-4634	36	31	in	in	ADP
app01-4634	36	32	the	the	DET
app01-4634	36	33	regions	region	NOUN
app01-4634	36	34	of	of	ADP
app01-4634	36	35	high	high	ADJ
app01-4634	36	36	interest	interest	NOUN
app01-4634	36	37	are	be	AUX
app01-4634	36	38	evaluated	evaluate	VERB
app01-4634	36	39	exactly	exactly	ADV
app01-4634	36	40	.	.	PUNCT
app01-4634	37	1	consequently	consequently	ADV
app01-4634	37	2	,	,	PUNCT
app01-4634	37	3	forces	force	NOUN
app01-4634	37	4	of	of	ADP
app01-4634	37	5	nonphysical	nonphysical	ADJ
app01-4634	37	6	character	character	NOUN
app01-4634	37	7	,	,	PUNCT
app01-4634	37	8	called	call	VERB
app01-4634	37	9	the	the	DET
app01-4634	37	10	ghost	ghost	NOUN
app01-4634	37	11	forces	force	NOUN
app01-4634	37	12	,	,	PUNCT
app01-4634	37	13	appear	appear	VERB
app01-4634	37	14	on	on	ADP
app01-4634	37	15	the	the	DET
app01-4634	37	16	interface	interface	NOUN
app01-4634	37	17	between	between	ADP
app01-4634	37	18	the	the	DET
app01-4634	37	19	regions	region	NOUN
app01-4634	37	20	of	of	ADP
app01-4634	37	21	low	low	ADJ
app01-4634	37	22	and	and	CCONJ
app01-4634	37	23	high	high	ADJ
app01-4634	37	24	interest	interest	NOUN
app01-4634	38	1	[	[	X
app01-4634	38	2	4	4	NUM
app01-4634	38	3	]	]	PUNCT
app01-4634	38	4	.	.	PUNCT
app01-4634	39	1	in	in	ADP
app01-4634	39	2	this	this	DET
app01-4634	39	3	work	work	NOUN
app01-4634	39	4	,	,	PUNCT
app01-4634	39	5	the	the	DET
app01-4634	39	6	summation	summation	NOUN
app01-4634	39	7	procedure	procedure	NOUN
app01-4634	39	8	is	be	AUX
app01-4634	39	9	realized	realize	VERB
app01-4634	39	10	by	by	ADP
app01-4634	39	11	a	a	DET
app01-4634	39	12	homogenization	homogenization	NOUN
app01-4634	39	13	of	of	ADP
app01-4634	39	14	links	link	NOUN
app01-4634	39	15	contributing	contribute	VERB
app01-4634	39	16	to	to	ADP
app01-4634	39	17	the	the	DET
app01-4634	39	18	interpolation	interpolation	NOUN
app01-4634	39	19	elements	element	NOUN
app01-4634	39	20	.	.	PUNCT
app01-4634	40	1	to	to	PART
app01-4634	40	2	eliminate	eliminate	VERB
app01-4634	40	3	the	the	DET
app01-4634	40	4	ghost	ghost	NOUN
app01-4634	40	5	forces	force	NOUN
app01-4634	40	6	,	,	PUNCT
app01-4634	40	7	some	some	DET
app01-4634	40	8	specific	specific	ADJ
app01-4634	40	9	links	link	NOUN
app01-4634	40	10	are	be	AUX
app01-4634	40	11	selected	select	VERB
app01-4634	40	12	to	to	PART
app01-4634	40	13	be	be	AUX
app01-4634	40	14	processed	process	VERB
app01-4634	40	15	exactly	exactly	ADV
app01-4634	40	16	,	,	PUNCT
app01-4634	40	17	in	in	ADP
app01-4634	40	18	order	order	NOUN
app01-4634	40	19	to	to	PART
app01-4634	40	20	capture	capture	VERB
app01-4634	40	21	the	the	DET
app01-4634	40	22	interface	interface	NOUN
app01-4634	40	23	between	between	ADP
app01-4634	40	24	the	the	DET
app01-4634	40	25	fully	fully	ADV
app01-4634	40	26	resolved	resolve	VERB
app01-4634	40	27	and	and	CCONJ
app01-4634	40	28	interpolated	interpolate	VERB
app01-4634	40	29	domains	domain	NOUN
app01-4634	40	30	.	.	PUNCT
app01-4634	41	1	2.3	2.3	NUM
app01-4634	41	2	.	.	PUNCT
app01-4634	42	1	adaptivity	adaptivity	NOUN
app01-4634	42	2	adaptivity	adaptivity	NOUN
app01-4634	42	3	allows	allow	VERB
app01-4634	42	4	to	to	PART
app01-4634	42	5	adjust	adjust	VERB
app01-4634	42	6	the	the	DET
app01-4634	42	7	regions	region	NOUN
app01-4634	42	8	of	of	ADP
app01-4634	42	9	low	low	ADJ
app01-4634	42	10	and	and	CCONJ
app01-4634	42	11	high	high	ADJ
app01-4634	42	12	interest	interest	NOUN
app01-4634	42	13	during	during	ADP
app01-4634	42	14	the	the	DET
app01-4634	42	15	simulation	simulation	NOUN
app01-4634	42	16	process	process	NOUN
app01-4634	42	17	.	.	PUNCT
app01-4634	43	1	the	the	DET
app01-4634	43	2	type	type	NOUN
app01-4634	43	3	of	of	ADP
app01-4634	43	4	region	region	NOUN
app01-4634	43	5	can	can	AUX
app01-4634	43	6	be	be	AUX
app01-4634	43	7	changed	change	VERB
app01-4634	43	8	by	by	ADP
app01-4634	43	9	adding	add	VERB
app01-4634	43	10	repnodes	repnode	NOUN
app01-4634	43	11	before	before	ADP
app01-4634	43	12	each	each	DET
app01-4634	43	13	step	step	NOUN
app01-4634	43	14	.	.	PUNCT
app01-4634	44	1	an	an	DET
app01-4634	44	2	appropriate	appropriate	ADJ
app01-4634	44	3	modification	modification	NOUN
app01-4634	44	4	of	of	ADP
app01-4634	44	5	the	the	DET
app01-4634	44	6	regions	region	NOUN
app01-4634	44	7	of	of	ADP
app01-4634	44	8	high	high	ADJ
app01-4634	44	9	interest	interest	NOUN
app01-4634	44	10	leads	lead	VERB
app01-4634	44	11	to	to	ADP
app01-4634	44	12	a	a	DET
app01-4634	44	13	substantial	substantial	ADJ
app01-4634	44	14	increase	increase	NOUN
app01-4634	44	15	of	of	ADP
app01-4634	44	16	accuracy	accuracy	NOUN
app01-4634	44	17	.	.	PUNCT
app01-4634	45	1	moreover	moreover	ADV
app01-4634	45	2	,	,	PUNCT
app01-4634	45	3	in	in	ADP
app01-4634	45	4	specific	specific	ADJ
app01-4634	45	5	cases	case	NOUN
app01-4634	45	6	such	such	ADJ
app01-4634	45	7	as	as	ADP
app01-4634	45	8	simulation	simulation	NOUN
app01-4634	45	9	of	of	ADP
app01-4634	45	10	crack	crack	VERB
app01-4634	45	11	propagation	propagation	NOUN
app01-4634	45	12	or	or	CCONJ
app01-4634	45	13	damage	damage	NOUN
app01-4634	45	14	evolution	evolution	NOUN
app01-4634	45	15	,	,	PUNCT
app01-4634	45	16	adaptivity	adaptivity	NOUN
app01-4634	45	17	is	be	AUX
app01-4634	45	18	necessary	necessary	ADJ
app01-4634	45	19	in	in	ADP
app01-4634	45	20	order	order	NOUN
app01-4634	45	21	to	to	PART
app01-4634	45	22	represent	represent	VERB
app01-4634	45	23	the	the	DET
app01-4634	45	24	correct	correct	ADJ
app01-4634	45	25	physical	physical	ADJ
app01-4634	45	26	behavior	behavior	NOUN
app01-4634	45	27	.	.	PUNCT
app01-4634	46	1	after	after	ADP
app01-4634	46	2	the	the	DET
app01-4634	46	3	insertion	insertion	NOUN
app01-4634	46	4	of	of	ADP
app01-4634	46	5	new	new	ADJ
app01-4634	46	6	repnodes	repnode	NOUN
app01-4634	46	7	,	,	PUNCT
app01-4634	46	8	a	a	DET
app01-4634	46	9	new	new	ADJ
app01-4634	46	10	triangulation	triangulation	NOUN
app01-4634	46	11	of	of	ADP
app01-4634	46	12	the	the	DET
app01-4634	46	13	interpolation	interpolation	NOUN
app01-4634	46	14	mesh	mesh	NOUN
app01-4634	46	15	can	can	AUX
app01-4634	46	16	be	be	AUX
app01-4634	46	17	constructed	construct	VERB
app01-4634	46	18	,	,	PUNCT
app01-4634	46	19	in	in	ADP
app01-4634	46	20	order	order	NOUN
app01-4634	46	21	to	to	PART
app01-4634	46	22	improve	improve	VERB
app01-4634	46	23	the	the	DET
app01-4634	46	24	accuracy	accuracy	NOUN
app01-4634	46	25	of	of	ADP
app01-4634	46	26	interpolation	interpolation	NOUN
app01-4634	46	27	and	and	CCONJ
app01-4634	46	28	summation	summation	NOUN
app01-4634	46	29	in	in	ADP
app01-4634	46	30	areas	area	NOUN
app01-4634	46	31	of	of	ADP
app01-4634	46	32	low	low	ADJ
app01-4634	46	33	interest	interest	NOUN
app01-4634	46	34	.	.	PUNCT
app01-4634	47	1	3	3	X
app01-4634	47	2	.	.	X
app01-4634	47	3	qc	qc	PROPN
app01-4634	47	4	-	-	PUNCT
app01-4634	47	5	based	base	VERB
app01-4634	47	6	approaches	approach	NOUN
app01-4634	47	7	in	in	ADP
app01-4634	47	8	this	this	DET
app01-4634	47	9	section	section	NOUN
app01-4634	47	10	,	,	PUNCT
app01-4634	47	11	the	the	DET
app01-4634	47	12	exact	exact	ADJ
app01-4634	47	13	approach	approach	NOUN
app01-4634	47	14	and	and	CCONJ
app01-4634	47	15	two	two	NUM
app01-4634	47	16	approaches	approach	NOUN
app01-4634	47	17	based	base	VERB
app01-4634	47	18	on	on	ADP
app01-4634	47	19	the	the	DET
app01-4634	47	20	idea	idea	NOUN
app01-4634	47	21	of	of	ADP
app01-4634	47	22	qc	qc	PROPN
app01-4634	47	23	with	with	ADP
app01-4634	47	24	different	different	ADJ
app01-4634	47	25	levels	level	NOUN
app01-4634	47	26	of	of	ADP
app01-4634	47	27	simplification	simplification	NOUN
app01-4634	47	28	are	be	AUX
app01-4634	47	29	introduced	introduce	VERB
app01-4634	47	30	.	.	PUNCT
app01-4634	48	1	3.1	3.1	NUM
app01-4634	48	2	.	.	PUNCT
app01-4634	48	3	fully	fully	ADV
app01-4634	48	4	resolved	resolve	VERB
app01-4634	48	5	approach	approach	NOUN
app01-4634	48	6	this	this	DET
app01-4634	48	7	approach	approach	NOUN
app01-4634	48	8	does	do	AUX
app01-4634	48	9	not	not	PART
app01-4634	48	10	use	use	VERB
app01-4634	48	11	any	any	DET
app01-4634	48	12	simplification	simplification	NOUN
app01-4634	48	13	.	.	PUNCT
app01-4634	49	1	every	every	DET
app01-4634	49	2	single	single	ADJ
app01-4634	49	3	particle	particle	NOUN
app01-4634	49	4	represents	represent	VERB
app01-4634	49	5	a	a	DET
app01-4634	49	6	node	node	NOUN
app01-4634	49	7	with	with	ADP
app01-4634	49	8	independent	independent	ADJ
app01-4634	49	9	dofs	dof	NOUN
app01-4634	49	10	.	.	PUNCT
app01-4634	50	1	all	all	DET
app01-4634	50	2	links	link	NOUN
app01-4634	50	3	are	be	AUX
app01-4634	50	4	taken	take	VERB
app01-4634	50	5	into	into	ADP
app01-4634	50	6	account	account	NOUN
app01-4634	50	7	explicitly	explicitly	ADV
app01-4634	50	8	and	and	CCONJ
app01-4634	50	9	contribute	contribute	VERB
app01-4634	50	10	directly	directly	ADV
app01-4634	50	11	to	to	ADP
app01-4634	50	12	the	the	DET
app01-4634	50	13	stiffness	stiffness	ADJ
app01-4634	50	14	matrix	matrix	NOUN
app01-4634	50	15	.	.	PUNCT
app01-4634	51	1	consequently	consequently	ADV
app01-4634	51	2	,	,	PUNCT
app01-4634	51	3	this	this	DET
app01-4634	51	4	approach	approach	NOUN
app01-4634	51	5	provides	provide	VERB
app01-4634	51	6	the	the	DET
app01-4634	51	7	“	"	PUNCT
app01-4634	51	8	exact	exact	ADJ
app01-4634	51	9	”	"	PUNCT
app01-4634	51	10	result	result	NOUN
app01-4634	51	11	,	,	PUNCT
app01-4634	51	12	which	which	PRON
app01-4634	51	13	is	be	AUX
app01-4634	51	14	used	use	VERB
app01-4634	51	15	as	as	ADP
app01-4634	51	16	a	a	DET
app01-4634	51	17	reference	reference	NOUN
app01-4634	51	18	solution	solution	NOUN
app01-4634	51	19	for	for	ADP
app01-4634	51	20	evaluation	evaluation	NOUN
app01-4634	51	21	of	of	ADP
app01-4634	51	22	accuracy	accuracy	NOUN
app01-4634	51	23	and	and	CCONJ
app01-4634	51	24	efficiency	efficiency	NOUN
app01-4634	51	25	of	of	ADP
app01-4634	51	26	the	the	DET
app01-4634	51	27	following	following	NOUN
app01-4634	51	28	,	,	PUNCT
app01-4634	51	29	simplified	simplified	ADJ
app01-4634	51	30	approaches	approach	NOUN
app01-4634	51	31	.	.	PUNCT
app01-4634	52	1	3.2	3.2	NUM
app01-4634	52	2	.	.	PUNCT
app01-4634	52	3	qc	qc	PROPN
app01-4634	52	4	approach	approach	NOUN
app01-4634	52	5	with	with	ADP
app01-4634	52	6	interpolation	interpolation	NOUN
app01-4634	52	7	in	in	ADP
app01-4634	52	8	this	this	DET
app01-4634	52	9	approach	approach	NOUN
app01-4634	52	10	,	,	PUNCT
app01-4634	52	11	only	only	ADV
app01-4634	52	12	the	the	DET
app01-4634	52	13	interpolation	interpolation	NOUN
app01-4634	52	14	rule	rule	NOUN
app01-4634	52	15	is	be	AUX
app01-4634	52	16	used	use	VERB
app01-4634	52	17	to	to	PART
app01-4634	52	18	simplify	simplify	VERB
app01-4634	52	19	the	the	DET
app01-4634	52	20	full	full	ADJ
app01-4634	52	21	particle	particle	NOUN
app01-4634	52	22	model	model	NOUN
app01-4634	52	23	.	.	PUNCT
app01-4634	53	1	in	in	ADP
app01-4634	53	2	the	the	DET
app01-4634	53	3	regions	region	NOUN
app01-4634	53	4	of	of	ADP
app01-4634	53	5	high	high	ADJ
app01-4634	53	6	interest	interest	NOUN
app01-4634	53	7	,	,	PUNCT
app01-4634	53	8	all	all	DET
app01-4634	53	9	particles	particle	NOUN
app01-4634	53	10	are	be	AUX
app01-4634	53	11	selected	select	VERB
app01-4634	53	12	as	as	ADP
app01-4634	53	13	repnodes	repnode	NOUN
app01-4634	53	14	.	.	PUNCT
app01-4634	54	1	by	by	ADP
app01-4634	54	2	contrast	contrast	NOUN
app01-4634	54	3	,	,	PUNCT
app01-4634	54	4	in	in	ADP
app01-4634	54	5	the	the	DET
app01-4634	54	6	area	area	NOUN
app01-4634	54	7	of	of	ADP
app01-4634	54	8	low	low	ADJ
app01-4634	54	9	interest	interest	NOUN
app01-4634	54	10	,	,	PUNCT
app01-4634	54	11	only	only	ADV
app01-4634	54	12	the	the	DET
app01-4634	54	13	particles	particle	NOUN
app01-4634	54	14	forming	form	VERB
app01-4634	54	15	the	the	DET
app01-4634	54	16	vertices	vertex	NOUN
app01-4634	54	17	of	of	ADP
app01-4634	54	18	interpolation	interpolation	NOUN
app01-4634	54	19	elements	element	NOUN
app01-4634	54	20	are	be	AUX
app01-4634	54	21	selected	select	VERB
app01-4634	54	22	as	as	ADP
app01-4634	54	23	repnodes	repnode	NOUN
app01-4634	54	24	.	.	PUNCT
app01-4634	55	1	all	all	DET
app01-4634	55	2	remaining	remain	VERB
app01-4634	55	3	particles	particle	NOUN
app01-4634	55	4	are	be	AUX
app01-4634	55	5	kept	keep	VERB
app01-4634	55	6	in	in	ADP
app01-4634	55	7	the	the	DET
app01-4634	55	8	model	model	NOUN
app01-4634	55	9	and	and	CCONJ
app01-4634	55	10	their	their	PRON
app01-4634	55	11	dofs	dof	NOUN
app01-4634	55	12	are	be	AUX
app01-4634	55	13	linearly	linearly	ADV
app01-4634	55	14	interpolated	interpolate	VERB
app01-4634	55	15	by	by	ADP
app01-4634	55	16	using	use	VERB
app01-4634	55	17	the	the	DET
app01-4634	55	18	underlying	underlie	VERB
app01-4634	55	19	interpolation	interpolation	NOUN
app01-4634	55	20	mesh	mesh	NOUN
app01-4634	55	21	.	.	PUNCT
app01-4634	56	1	such	such	ADJ
app01-4634	56	2	particles	particle	NOUN
app01-4634	56	3	are	be	AUX
app01-4634	56	4	called	call	VERB
app01-4634	56	5	hanging	hang	VERB
app01-4634	56	6	nodes	node	NOUN
app01-4634	56	7	because	because	SCONJ
app01-4634	56	8	their	their	PRON
app01-4634	56	9	dofs	dof	NOUN
app01-4634	56	10	are	be	AUX
app01-4634	56	11	not	not	PART
app01-4634	56	12	independent	independent	ADJ
app01-4634	56	13	but	but	CCONJ
app01-4634	56	14	are	be	AUX
app01-4634	56	15	“	"	PUNCT
app01-4634	56	16	hanging	hang	VERB
app01-4634	56	17	”	"	PUNCT
app01-4634	56	18	on	on	ADP
app01-4634	56	19	appropriate	appropriate	ADJ
app01-4634	56	20	repnodes	repnode	NOUN
app01-4634	56	21	.	.	PUNCT
app01-4634	57	1	all	all	DET
app01-4634	57	2	link	link	NOUN
app01-4634	57	3	connections	connection	NOUN
app01-4634	57	4	are	be	AUX
app01-4634	57	5	considered	consider	VERB
app01-4634	57	6	explicitly	explicitly	ADV
app01-4634	57	7	in	in	ADP
app01-4634	57	8	the	the	DET
app01-4634	57	9	whole	whole	ADJ
app01-4634	57	10	domain	domain	NOUN
app01-4634	57	11	.	.	PUNCT
app01-4634	58	1	3.3	3.3	NUM
app01-4634	58	2	.	.	PUNCT
app01-4634	59	1	qc	qc	PROPN
app01-4634	59	2	approach	approach	NOUN
app01-4634	59	3	with	with	ADP
app01-4634	59	4	interpolation	interpolation	NOUN
app01-4634	59	5	and	and	CCONJ
app01-4634	59	6	homogenization	homogenization	NOUN
app01-4634	59	7	in	in	ADP
app01-4634	59	8	this	this	DET
app01-4634	59	9	approach	approach	NOUN
app01-4634	59	10	,	,	PUNCT
app01-4634	59	11	2d	2d	NOUN
app01-4634	59	12	finite	finite	ADJ
app01-4634	59	13	elements	element	NOUN
app01-4634	59	14	are	be	AUX
app01-4634	59	15	used	use	VERB
app01-4634	59	16	not	not	PART
app01-4634	59	17	only	only	ADV
app01-4634	59	18	to	to	PART
app01-4634	59	19	interpolate	interpolate	VERB
app01-4634	59	20	dofs	dof	NOUN
app01-4634	59	21	but	but	CCONJ
app01-4634	59	22	also	also	ADV
app01-4634	59	23	to	to	PART
app01-4634	59	24	replace	replace	VERB
app01-4634	59	25	the	the	DET
app01-4634	59	26	stiffness	stiffness	NOUN
app01-4634	59	27	that	that	PRON
app01-4634	59	28	corresponds	correspond	VERB
app01-4634	59	29	to	to	ADP
app01-4634	59	30	the	the	DET
app01-4634	59	31	microstructure	microstructure	NOUN
app01-4634	59	32	.	.	PUNCT
app01-4634	60	1	consequently	consequently	ADV
app01-4634	60	2	,	,	PUNCT
app01-4634	60	3	a	a	DET
app01-4634	60	4	substantial	substantial	ADJ
app01-4634	60	5	number	number	NOUN
app01-4634	60	6	of	of	ADP
app01-4634	60	7	links	link	NOUN
app01-4634	60	8	and	and	CCONJ
app01-4634	60	9	hanging	hang	VERB
app01-4634	60	10	nodes	node	NOUN
app01-4634	60	11	can	can	AUX
app01-4634	60	12	be	be	AUX
app01-4634	60	13	removed	remove	VERB
app01-4634	60	14	from	from	ADP
app01-4634	60	15	the	the	DET
app01-4634	60	16	particle	particle	NOUN
app01-4634	60	17	model	model	NOUN
app01-4634	60	18	.	.	PUNCT
app01-4634	61	1	material	material	NOUN
app01-4634	61	2	properties	property	NOUN
app01-4634	61	3	of	of	ADP
app01-4634	61	4	2d	2d	NUM
app01-4634	61	5	elements	element	NOUN
app01-4634	61	6	are	be	AUX
app01-4634	61	7	identified	identify	VERB
app01-4634	61	8	by	by	ADP
app01-4634	61	9	homogenization	homogenization	NOUN
app01-4634	61	10	of	of	ADP
app01-4634	61	11	the	the	DET
app01-4634	61	12	effective	effective	ADJ
app01-4634	61	13	elastic	elastic	ADJ
app01-4634	61	14	stiffness	stiffness	NOUN
app01-4634	61	15	tensor	tensor	NOUN
app01-4634	61	16	de	de	ADP
app01-4634	61	17	representing	represent	VERB
app01-4634	61	18	the	the	DET
app01-4634	61	19	microstructure	microstructure	NOUN
app01-4634	61	20	of	of	ADP
app01-4634	61	21	the	the	DET
app01-4634	61	22	links	link	NOUN
app01-4634	61	23	.	.	PUNCT
app01-4634	62	1	applying	apply	VERB
app01-4634	62	2	the	the	DET
app01-4634	62	3	equivalence	equivalence	NOUN
app01-4634	62	4	of	of	ADP
app01-4634	62	5	the	the	DET
app01-4634	62	6	overall	overall	ADJ
app01-4634	62	7	virtual	virtual	ADJ
app01-4634	62	8	work	work	NOUN
app01-4634	62	9	expressed	express	VERB
app01-4634	62	10	for	for	ADP
app01-4634	62	11	the	the	DET
app01-4634	62	12	continuous	continuous	ADJ
app01-4634	62	13	material	material	NOUN
app01-4634	62	14	and	and	CCONJ
app01-4634	62	15	for	for	ADP
app01-4634	62	16	the	the	DET
app01-4634	62	17	microstructure	microstructure	NOUN
app01-4634	62	18	represented	represent	VERB
app01-4634	62	19	by	by	ADP
app01-4634	62	20	discrete	discrete	ADJ
app01-4634	62	21	links	link	NOUN
app01-4634	62	22	,	,	PUNCT
app01-4634	62	23	the	the	DET
app01-4634	62	24	following	follow	VERB
app01-4634	62	25	formula	formula	NOUN
app01-4634	62	26	for	for	ADP
app01-4634	62	27	the	the	DET
app01-4634	62	28	effective	effective	ADJ
app01-4634	62	29	elastic	elastic	ADJ
app01-4634	62	30	stiffness	stiffness	NOUN
app01-4634	62	31	tensor	tensor	NOUN
app01-4634	62	32	can	can	AUX
app01-4634	62	33	be	be	AUX
app01-4634	62	34	derived	derive	VERB
app01-4634	62	35	:	:	PUNCT
app01-4634	62	36	de	de	X
app01-4634	62	37	=	=	SYM
app01-4634	62	38	1	1	NUM
app01-4634	62	39	v	v	ADP
app01-4634	62	40	nt∑	nt∑	PROPN
app01-4634	62	41	i=1	i=1	PROPN
app01-4634	62	42	lieaini	lieaini	PROPN
app01-4634	62	43	⊗	⊗	PROPN
app01-4634	62	44	ni	ni	PROPN
app01-4634	62	45	⊗	⊗	PROPN
app01-4634	62	46	ni	ni	PROPN
app01-4634	62	47	⊗	⊗	PROPN
app01-4634	62	48	ni	ni	PROPN
app01-4634	62	49	(	(	PUNCT
app01-4634	62	50	1	1	NUM
app01-4634	62	51	)	)	PUNCT
app01-4634	62	52	here	here	ADV
app01-4634	62	53	,	,	PUNCT
app01-4634	62	54	ni	ni	PROPN
app01-4634	62	55	is	be	AUX
app01-4634	62	56	the	the	DET
app01-4634	62	57	unit	unit	NOUN
app01-4634	62	58	vector	vector	NOUN
app01-4634	62	59	specifying	specify	VERB
app01-4634	62	60	the	the	DET
app01-4634	62	61	direction	direction	NOUN
app01-4634	62	62	of	of	ADP
app01-4634	62	63	the	the	DET
app01-4634	62	64	given	give	VERB
app01-4634	62	65	link	link	NOUN
app01-4634	62	66	,	,	PUNCT
app01-4634	62	67	e	e	X
app01-4634	62	68	is	be	AUX
app01-4634	62	69	the	the	DET
app01-4634	62	70	young	young	ADJ
app01-4634	62	71	modulus	modulus	NOUN
app01-4634	62	72	,	,	PUNCT
app01-4634	62	73	a	a	PRON
app01-4634	62	74	is	be	AUX
app01-4634	62	75	the	the	DET
app01-4634	62	76	cross	cross	ADJ
app01-4634	62	77	-	-	ADJ
app01-4634	62	78	sectional	sectional	ADJ
app01-4634	62	79	area	area	NOUN
app01-4634	62	80	and	and	CCONJ
app01-4634	62	81	l	l	NOUN
app01-4634	62	82	is	be	AUX
app01-4634	62	83	the	the	DET
app01-4634	62	84	length	length	NOUN
app01-4634	62	85	of	of	ADP
app01-4634	62	86	the	the	DET
app01-4634	62	87	link	link	NOUN
app01-4634	62	88	.	.	PUNCT
app01-4634	63	1	the	the	DET
app01-4634	63	2	summation	summation	NOUN
app01-4634	63	3	is	be	AUX
app01-4634	63	4	taken	take	VERB
app01-4634	63	5	over	over	ADP
app01-4634	63	6	nt	not	PART
app01-4634	63	7	links	link	NOUN
app01-4634	63	8	occupying	occupy	VERB
app01-4634	63	9	volume	volume	NOUN
app01-4634	63	10	v	v	NOUN
app01-4634	63	11	.	.	PUNCT
app01-4634	64	1	the	the	DET
app01-4634	64	2	effective	effective	ADJ
app01-4634	64	3	stiffness	stiffness	NOUN
app01-4634	64	4	tensor	tensor	NOUN
app01-4634	64	5	de	de	X
app01-4634	64	6	can	can	AUX
app01-4634	64	7	be	be	AUX
app01-4634	64	8	evaluated	evaluate	VERB
app01-4634	64	9	globally	globally	ADV
app01-4634	64	10	for	for	ADP
app01-4634	64	11	all	all	DET
app01-4634	64	12	elements	element	NOUN
app01-4634	64	13	,	,	PUNCT
app01-4634	64	14	or	or	CCONJ
app01-4634	64	15	locally	locally	ADV
app01-4634	64	16	for	for	ADP
app01-4634	64	17	each	each	DET
app01-4634	64	18	element	element	NOUN
app01-4634	64	19	separately	separately	ADV
app01-4634	64	20	.	.	PUNCT
app01-4634	65	1	afterwards	afterwards	ADV
app01-4634	65	2	,	,	PUNCT
app01-4634	65	3	the	the	DET
app01-4634	65	4	material	material	NOUN
app01-4634	65	5	parameters	parameter	NOUN
app01-4634	65	6	of	of	ADP
app01-4634	65	7	2d	2d	NUM
app01-4634	65	8	elements	element	NOUN
app01-4634	65	9	can	can	AUX
app01-4634	65	10	be	be	AUX
app01-4634	65	11	identified	identify	VERB
app01-4634	65	12	as	as	ADP
app01-4634	65	13	isotropic	isotropic	NOUN
app01-4634	65	14	,	,	PUNCT
app01-4634	65	15	orthotropic	orthotropic	ADJ
app01-4634	65	16	,	,	PUNCT
app01-4634	65	17	or	or	CCONJ
app01-4634	65	18	arbitrarily	arbitrarily	ADV
app01-4634	65	19	anisotropic	anisotropic	VERB
app01-4634	65	20	.	.	PUNCT
app01-4634	66	1	different	different	ADJ
app01-4634	66	2	homogenization	homogenization	NOUN
app01-4634	66	3	procedures	procedure	NOUN
app01-4634	66	4	for	for	ADP
app01-4634	66	5	disordered	disordered	ADJ
app01-4634	66	6	lattices	lattice	NOUN
app01-4634	66	7	with	with	ADP
app01-4634	66	8	normal	normal	ADJ
app01-4634	66	9	interactions	interaction	NOUN
app01-4634	66	10	are	be	AUX
app01-4634	66	11	described	describe	VERB
app01-4634	66	12	in	in	ADP
app01-4634	66	13	[	[	X
app01-4634	66	14	3	3	NUM
app01-4634	66	15	]	]	PUNCT
app01-4634	66	16	.	.	PUNCT
app01-4634	67	1	in	in	ADP
app01-4634	67	2	this	this	DET
app01-4634	67	3	work	work	NOUN
app01-4634	67	4	,	,	PUNCT
app01-4634	67	5	only	only	ADV
app01-4634	67	6	the	the	DET
app01-4634	67	7	most	most	ADV
app01-4634	67	8	accurate	accurate	ADJ
app01-4634	67	9	homogenization	homogenization	NOUN
app01-4634	67	10	rule	rule	NOUN
app01-4634	67	11	with	with	ADP
app01-4634	67	12	a	a	DET
app01-4634	67	13	local	local	ADJ
app01-4634	67	14	anisotropic	anisotropic	NOUN
app01-4634	67	15	stiffness	stiffness	NOUN
app01-4634	67	16	tensor	tensor	NOUN
app01-4634	67	17	and	and	CCONJ
app01-4634	67	18	an	an	DET
app01-4634	67	19	arbitrarily	arbitrarily	ADV
app01-4634	67	20	anisotropic	anisotropic	NOUN
app01-4634	67	21	material	material	NOUN
app01-4634	67	22	is	be	AUX
app01-4634	67	23	used	use	VERB
app01-4634	67	24	.	.	PUNCT
app01-4634	68	1	evaluation	evaluation	NOUN
app01-4634	68	2	of	of	ADP
app01-4634	68	3	the	the	DET
app01-4634	68	4	effective	effective	ADJ
app01-4634	68	5	material	material	NOUN
app01-4634	68	6	stiffness	stiffness	NOUN
app01-4634	68	7	tensor	tensor	NOUN
app01-4634	68	8	given	give	VERB
app01-4634	68	9	by	by	ADP
app01-4634	68	10	(	(	PUNCT
app01-4634	68	11	1	1	X
app01-4634	68	12	)	)	PUNCT
app01-4634	68	13	is	be	AUX
app01-4634	68	14	done	do	VERB
app01-4634	68	15	for	for	ADP
app01-4634	68	16	each	each	DET
app01-4634	68	17	element	element	NOUN
app01-4634	68	18	separately	separately	ADV
app01-4634	68	19	.	.	PUNCT
app01-4634	69	1	the	the	DET
app01-4634	69	2	stiffness	stiffness	ADJ
app01-4634	69	3	tensor	tensor	NOUN
app01-4634	69	4	of	of	ADP
app01-4634	69	5	each	each	DET
app01-4634	69	6	element	element	NOUN
app01-4634	69	7	is	be	AUX
app01-4634	69	8	obtained	obtain	VERB
app01-4634	69	9	only	only	ADV
app01-4634	69	10	from	from	ADP
app01-4634	69	11	the	the	DET
app01-4634	69	12	contributions	contribution	NOUN
app01-4634	69	13	of	of	ADP
app01-4634	69	14	the	the	DET
app01-4634	69	15	parts	part	NOUN
app01-4634	69	16	of	of	ADP
app01-4634	69	17	the	the	DET
app01-4634	69	18	links	link	NOUN
app01-4634	69	19	that	that	PRON
app01-4634	69	20	are	be	AUX
app01-4634	69	21	located	locate	VERB
app01-4634	69	22	in	in	ADP
app01-4634	69	23	that	that	DET
app01-4634	69	24	particular	particular	ADJ
app01-4634	69	25	element	element	NOUN
app01-4634	69	26	.	.	PUNCT
app01-4634	70	1	4	4	X
app01-4634	70	2	.	.	X
app01-4634	70	3	adaptive	adaptive	ADJ
app01-4634	70	4	algorithm	algorithm	NOUN
app01-4634	70	5	adaptivity	adaptivity	NOUN
app01-4634	70	6	is	be	AUX
app01-4634	70	7	one	one	NUM
app01-4634	70	8	of	of	ADP
app01-4634	70	9	the	the	DET
app01-4634	70	10	key	key	ADJ
app01-4634	70	11	ingredients	ingredient	NOUN
app01-4634	70	12	of	of	ADP
app01-4634	70	13	the	the	DET
app01-4634	70	14	qc	qc	PROPN
app01-4634	70	15	method	method	NOUN
app01-4634	70	16	.	.	PUNCT
app01-4634	71	1	the	the	DET
app01-4634	71	2	area	area	NOUN
app01-4634	71	3	of	of	ADP
app01-4634	71	4	high	high	ADJ
app01-4634	71	5	interest	interest	NOUN
app01-4634	71	6	and	and	CCONJ
app01-4634	71	7	the	the	DET
app01-4634	71	8	geometry	geometry	NOUN
app01-4634	71	9	of	of	ADP
app01-4634	71	10	interpolation	interpolation	NOUN
app01-4634	71	11	mesh	mesh	NOUN
app01-4634	71	12	can	can	AUX
app01-4634	71	13	be	be	AUX
app01-4634	71	14	arbitrarily	arbitrarily	ADV
app01-4634	71	15	changed	change	VERB
app01-4634	71	16	during	during	ADP
app01-4634	71	17	the	the	DET
app01-4634	71	18	simulation	simulation	NOUN
app01-4634	71	19	to	to	PART
app01-4634	71	20	optimize	optimize	VERB
app01-4634	71	21	the	the	DET
app01-4634	71	22	accuracy	accuracy	NOUN
app01-4634	71	23	and	and	CCONJ
app01-4634	71	24	computational	computational	ADJ
app01-4634	71	25	costs	cost	NOUN
app01-4634	71	26	.	.	PUNCT
app01-4634	72	1	furthermore	furthermore	ADV
app01-4634	72	2	,	,	PUNCT
app01-4634	72	3	for	for	ADP
app01-4634	72	4	qc	qc	PROPN
app01-4634	72	5	simulation	simulation	NOUN
app01-4634	72	6	of	of	ADP
app01-4634	72	7	materials	material	NOUN
app01-4634	72	8	with	with	ADP
app01-4634	72	9	softening	softening	NOUN
app01-4634	72	10	or	or	CCONJ
app01-4634	72	11	damage	damage	NOUN
app01-4634	72	12	,	,	PUNCT
app01-4634	72	13	an	an	DET
app01-4634	72	14	adaptive	adaptive	ADJ
app01-4634	72	15	81	81	NUM
app01-4634	72	16	karel	karel	PROPN
app01-4634	72	17	mikeš	mikeš	PROPN
app01-4634	72	18	,	,	PUNCT
app01-4634	72	19	milan	milan	PROPN
app01-4634	72	20	jirásek	jirásek	PROPN
app01-4634	72	21	acta	acta	PROPN
app01-4634	72	22	polytechnica	polytechnica	PROPN
app01-4634	72	23	ctu	ctu	PROPN
app01-4634	72	24	proceedings	proceeding	NOUN
app01-4634	72	25	algorithm	algorithm	NOUN
app01-4634	72	26	is	be	AUX
app01-4634	72	27	required	require	VERB
app01-4634	72	28	to	to	PART
app01-4634	72	29	be	be	AUX
app01-4634	72	30	able	able	ADJ
app01-4634	72	31	to	to	PART
app01-4634	72	32	predict	predict	VERB
app01-4634	72	33	the	the	DET
app01-4634	72	34	exact	exact	ADJ
app01-4634	72	35	failure	failure	NOUN
app01-4634	72	36	mechanism	mechanism	NOUN
app01-4634	72	37	.	.	PUNCT
app01-4634	73	1	in	in	ADP
app01-4634	73	2	this	this	DET
app01-4634	73	3	paper	paper	NOUN
app01-4634	73	4	,	,	PUNCT
app01-4634	73	5	it	it	PRON
app01-4634	73	6	is	be	AUX
app01-4634	73	7	assumed	assume	VERB
app01-4634	73	8	that	that	SCONJ
app01-4634	73	9	cracked	crack	VERB
app01-4634	73	10	links	link	NOUN
app01-4634	73	11	tend	tend	VERB
app01-4634	73	12	to	to	PART
app01-4634	73	13	form	form	VERB
app01-4634	73	14	a	a	DET
app01-4634	73	15	macroscopic	macroscopic	ADJ
app01-4634	73	16	crack	crack	NOUN
app01-4634	73	17	.	.	PUNCT
app01-4634	74	1	the	the	DET
app01-4634	74	2	qc	qc	PROPN
app01-4634	74	3	adaptive	adaptive	ADJ
app01-4634	74	4	algorithm	algorithm	NOUN
app01-4634	74	5	is	be	AUX
app01-4634	74	6	designed	design	VERB
app01-4634	74	7	to	to	PART
app01-4634	74	8	be	be	AUX
app01-4634	74	9	able	able	ADJ
app01-4634	74	10	to	to	PART
app01-4634	74	11	simulate	simulate	VERB
app01-4634	74	12	the	the	DET
app01-4634	74	13	growth	growth	NOUN
app01-4634	74	14	of	of	ADP
app01-4634	74	15	existing	exist	VERB
app01-4634	74	16	macroscopic	macroscopic	ADJ
app01-4634	74	17	crack	crack	NOUN
app01-4634	74	18	as	as	ADV
app01-4634	74	19	well	well	ADV
app01-4634	74	20	as	as	ADP
app01-4634	74	21	the	the	DET
app01-4634	74	22	initialization	initialization	NOUN
app01-4634	74	23	of	of	ADP
app01-4634	74	24	new	new	ADJ
app01-4634	74	25	cracks	crack	NOUN
app01-4634	74	26	.	.	PUNCT
app01-4634	75	1	in	in	ADP
app01-4634	75	2	each	each	DET
app01-4634	75	3	simulation	simulation	NOUN
app01-4634	75	4	step	step	NOUN
app01-4634	75	5	,	,	PUNCT
app01-4634	75	6	this	this	DET
app01-4634	75	7	algorithm	algorithm	NOUN
app01-4634	75	8	is	be	AUX
app01-4634	75	9	able	able	ADJ
app01-4634	75	10	to	to	PART
app01-4634	75	11	change	change	VERB
app01-4634	75	12	both	both	DET
app01-4634	75	13	the	the	DET
app01-4634	75	14	area	area	NOUN
app01-4634	75	15	of	of	ADP
app01-4634	75	16	high	high	ADJ
app01-4634	75	17	interest	interest	NOUN
app01-4634	75	18	and	and	CCONJ
app01-4634	75	19	the	the	DET
app01-4634	75	20	interpolation	interpolation	NOUN
app01-4634	75	21	elements	element	NOUN
app01-4634	75	22	in	in	ADP
app01-4634	75	23	the	the	DET
app01-4634	75	24	area	area	NOUN
app01-4634	75	25	of	of	ADP
app01-4634	75	26	low	low	ADJ
app01-4634	75	27	interest	interest	NOUN
app01-4634	75	28	.	.	PUNCT
app01-4634	76	1	the	the	DET
app01-4634	76	2	overall	overall	ADJ
app01-4634	76	3	algorithm	algorithm	NOUN
app01-4634	76	4	of	of	ADP
app01-4634	76	5	an	an	DET
app01-4634	76	6	adaptive	adaptive	ADJ
app01-4634	76	7	cq	cq	NOUN
app01-4634	76	8	simulation	simulation	NOUN
app01-4634	76	9	is	be	AUX
app01-4634	76	10	organized	organize	VERB
app01-4634	76	11	as	as	SCONJ
app01-4634	76	12	follows	follow	VERB
app01-4634	76	13	:	:	PUNCT
app01-4634	76	14	algorithm	algorithm	NOUN
app01-4634	76	15	1	1	NUM
app01-4634	76	16	adaptive	adaptive	PROPN
app01-4634	76	17	qc	qc	PROPN
app01-4634	76	18	simulation	simulation	PROPN
app01-4634	76	19	1	1	NUM
app01-4634	76	20	:	:	PUNCT
app01-4634	76	21	load	load	NOUN
app01-4634	76	22	input	input	NOUN
app01-4634	76	23	geometry	geometry	NOUN
app01-4634	76	24	2	2	NUM
app01-4634	76	25	:	:	PUNCT
app01-4634	76	26	generate	generate	VERB
app01-4634	76	27	interpolation	interpolation	NOUN
app01-4634	76	28	mesh	mesh	NOUN
app01-4634	76	29	3	3	NUM
app01-4634	76	30	:	:	PUNCT
app01-4634	76	31	calculate	calculate	VERB
app01-4634	76	32	local	local	ADJ
app01-4634	76	33	stiffness	stiffness	NOUN
app01-4634	76	34	tensors	tensor	NOUN
app01-4634	76	35	and	and	CCONJ
app01-4634	76	36	material	material	NOUN
app01-4634	76	37	parameters	parameter	NOUN
app01-4634	76	38	4	4	NUM
app01-4634	76	39	:	:	PUNCT
app01-4634	76	40	assemble	assemble	VERB
app01-4634	76	41	stiffness	stiffness	ADJ
app01-4634	76	42	matrix	matrix	NOUN
app01-4634	76	43	5	5	NUM
app01-4634	76	44	:	:	PUNCT
app01-4634	76	45	assemble	assemble	VERB
app01-4634	76	46	load	load	NOUN
app01-4634	76	47	vector	vector	NOUN
app01-4634	76	48	6	6	NUM
app01-4634	76	49	:	:	PUNCT
app01-4634	76	50	repeat	repeat	VERB
app01-4634	76	51	7	7	NUM
app01-4634	76	52	:	:	PUNCT
app01-4634	76	53	solve	solve	VERB
app01-4634	76	54	one	one	NUM
app01-4634	76	55	elastic	elastic	ADJ
app01-4634	76	56	step	step	NOUN
app01-4634	76	57	8	8	NUM
app01-4634	76	58	:	:	PUNCT
app01-4634	76	59	break	break	VERB
app01-4634	76	60	link	link	NOUN
app01-4634	76	61	with	with	ADP
app01-4634	76	62	maximal	maximal	ADJ
app01-4634	76	63	strain	strain	NOUN
app01-4634	76	64	9	9	NUM
app01-4634	76	65	:	:	PUNCT
app01-4634	76	66	update	update	NOUN
app01-4634	76	67	area	area	NOUN
app01-4634	76	68	of	of	ADP
app01-4634	76	69	high	high	ADJ
app01-4634	76	70	interest	interest	NOUN
app01-4634	76	71	10	10	NUM
app01-4634	76	72	:	:	PUNCT
app01-4634	76	73	update	update	NOUN
app01-4634	76	74	interpolation	interpolation	NOUN
app01-4634	76	75	mesh	mesh	NOUN
app01-4634	76	76	11	11	NUM
app01-4634	76	77	:	:	PUNCT
app01-4634	76	78	update	update	VERB
app01-4634	76	79	local	local	ADJ
app01-4634	76	80	stiffness	stiffness	NOUN
app01-4634	76	81	tensors	tensor	NOUN
app01-4634	76	82	and	and	CCONJ
app01-4634	76	83	material	material	NOUN
app01-4634	76	84	parameters	parameter	NOUN
app01-4634	76	85	12	12	NUM
app01-4634	76	86	:	:	PUNCT
app01-4634	76	87	update	update	VERB
app01-4634	76	88	stiffness	stiffness	NOUN
app01-4634	76	89	matrix	matrix	NOUN
app01-4634	76	90	and	and	CCONJ
app01-4634	76	91	load	load	VERB
app01-4634	76	92	vector	vector	NOUN
app01-4634	76	93	13	13	NUM
app01-4634	76	94	:	:	PUNCT
app01-4634	76	95	until	until	ADP
app01-4634	76	96	<	<	X
app01-4634	76	97	stopping	stop	VERB
app01-4634	76	98	criterion	criterion	NOUN
app01-4634	76	99	>	>	X
app01-4634	76	100	14	14	NUM
app01-4634	76	101	:	:	PUNCT
app01-4634	76	102	postprocessing	postprocesse	VERB
app01-4634	76	103	4.1	4.1	NUM
app01-4634	76	104	.	.	PUNCT
app01-4634	77	1	area	area	NOUN
app01-4634	77	2	of	of	ADP
app01-4634	77	3	high	high	ADJ
app01-4634	77	4	interest	interest	NOUN
app01-4634	77	5	update	update	NOUN
app01-4634	77	6	the	the	DET
app01-4634	77	7	change	change	NOUN
app01-4634	77	8	of	of	ADP
app01-4634	77	9	the	the	DET
app01-4634	77	10	area	area	NOUN
app01-4634	77	11	of	of	ADP
app01-4634	77	12	high	high	ADJ
app01-4634	77	13	interest	interest	NOUN
app01-4634	77	14	is	be	AUX
app01-4634	77	15	realized	realize	VERB
app01-4634	77	16	around	around	ADP
app01-4634	77	17	newly	newly	ADV
app01-4634	77	18	cracked	crack	VERB
app01-4634	77	19	links	link	NOUN
app01-4634	77	20	to	to	PART
app01-4634	77	21	allow	allow	VERB
app01-4634	77	22	crack	crack	NOUN
app01-4634	77	23	growth	growth	NOUN
app01-4634	77	24	.	.	PUNCT
app01-4634	78	1	when	when	SCONJ
app01-4634	78	2	a	a	DET
app01-4634	78	3	new	new	ADJ
app01-4634	78	4	link	link	NOUN
app01-4634	78	5	is	be	AUX
app01-4634	78	6	broken	break	VERB
app01-4634	78	7	,	,	PUNCT
app01-4634	78	8	all	all	DET
app01-4634	78	9	particles	particle	NOUN
app01-4634	78	10	within	within	ADP
app01-4634	78	11	a	a	DET
app01-4634	78	12	given	give	VERB
app01-4634	78	13	updating	updating	NOUN
app01-4634	78	14	radius	radius	NOUN
app01-4634	78	15	are	be	AUX
app01-4634	78	16	labeled	label	VERB
app01-4634	78	17	as	as	ADP
app01-4634	78	18	repnodes	repnode	NOUN
app01-4634	78	19	.	.	PUNCT
app01-4634	79	1	this	this	DET
app01-4634	79	2	update	update	NOUN
app01-4634	79	3	is	be	AUX
app01-4634	79	4	realized	realize	VERB
app01-4634	79	5	only	only	ADV
app01-4634	79	6	if	if	SCONJ
app01-4634	79	7	the	the	DET
app01-4634	79	8	breaking	breaking	NOUN
app01-4634	79	9	link	link	NOUN
app01-4634	79	10	is	be	AUX
app01-4634	79	11	located	locate	VERB
app01-4634	79	12	not	not	PART
app01-4634	79	13	too	too	ADV
app01-4634	79	14	far	far	ADV
app01-4634	79	15	from	from	ADP
app01-4634	79	16	existing	exist	VERB
app01-4634	79	17	macroscopic	macroscopic	ADJ
app01-4634	79	18	cracks	crack	NOUN
app01-4634	79	19	.	.	PUNCT
app01-4634	80	1	therefore	therefore	ADV
app01-4634	80	2	,	,	PUNCT
app01-4634	80	3	a	a	DET
app01-4634	80	4	number	number	NOUN
app01-4634	80	5	of	of	ADP
app01-4634	80	6	previously	previously	ADV
app01-4634	80	7	cracked	crack	VERB
app01-4634	80	8	links	link	NOUN
app01-4634	80	9	within	within	ADP
app01-4634	80	10	a	a	DET
app01-4634	80	11	checking	check	VERB
app01-4634	80	12	radius	radius	NOUN
app01-4634	80	13	is	be	AUX
app01-4634	80	14	evaluated	evaluate	VERB
app01-4634	80	15	and	and	CCONJ
app01-4634	80	16	the	the	DET
app01-4634	80	17	update	update	NOUN
app01-4634	80	18	is	be	AUX
app01-4634	80	19	realized	realize	VERB
app01-4634	80	20	only	only	ADV
app01-4634	80	21	if	if	SCONJ
app01-4634	80	22	a	a	DET
app01-4634	80	23	given	give	VERB
app01-4634	80	24	critical	critical	ADJ
app01-4634	80	25	number	number	NOUN
app01-4634	80	26	of	of	ADP
app01-4634	80	27	previously	previously	ADV
app01-4634	80	28	cracked	crack	VERB
app01-4634	80	29	links	link	NOUN
app01-4634	80	30	is	be	AUX
app01-4634	80	31	reached	reach	VERB
app01-4634	80	32	.	.	PUNCT
app01-4634	81	1	consequently	consequently	ADV
app01-4634	81	2	,	,	PUNCT
app01-4634	81	3	the	the	DET
app01-4634	81	4	area	area	NOUN
app01-4634	81	5	of	of	ADP
app01-4634	81	6	high	high	ADJ
app01-4634	81	7	interest	interest	NOUN
app01-4634	81	8	is	be	AUX
app01-4634	81	9	updated	update	VERB
app01-4634	81	10	frequently	frequently	ADV
app01-4634	81	11	but	but	CCONJ
app01-4634	81	12	not	not	PART
app01-4634	81	13	necessarily	necessarily	ADV
app01-4634	81	14	in	in	ADP
app01-4634	81	15	all	all	DET
app01-4634	81	16	steps	step	NOUN
app01-4634	81	17	.	.	PUNCT
app01-4634	82	1	this	this	PRON
app01-4634	82	2	allows	allow	VERB
app01-4634	82	3	to	to	PART
app01-4634	82	4	account	account	VERB
app01-4634	82	5	not	not	PART
app01-4634	82	6	only	only	ADV
app01-4634	82	7	for	for	ADP
app01-4634	82	8	crack	crack	NOUN
app01-4634	82	9	branching	branching	NOUN
app01-4634	82	10	but	but	CCONJ
app01-4634	82	11	also	also	ADV
app01-4634	82	12	for	for	ADP
app01-4634	82	13	nucleation	nucleation	NOUN
app01-4634	82	14	of	of	ADP
app01-4634	82	15	new	new	ADJ
app01-4634	82	16	macroscopic	macroscopic	ADJ
app01-4634	82	17	cracks	crack	NOUN
app01-4634	82	18	in	in	ADP
app01-4634	82	19	different	different	ADJ
app01-4634	82	20	locations	location	NOUN
app01-4634	82	21	.	.	PUNCT
app01-4634	83	1	this	this	DET
app01-4634	83	2	procedure	procedure	NOUN
app01-4634	83	3	frequently	frequently	ADV
app01-4634	83	4	requires	require	VERB
app01-4634	83	5	searching	search	VERB
app01-4634	83	6	for	for	ADP
app01-4634	83	7	particles	particle	NOUN
app01-4634	83	8	within	within	ADP
app01-4634	83	9	a	a	DET
app01-4634	83	10	given	give	VERB
app01-4634	83	11	radius	radius	NOUN
app01-4634	83	12	,	,	PUNCT
app01-4634	83	13	which	which	PRON
app01-4634	83	14	can	can	AUX
app01-4634	83	15	be	be	AUX
app01-4634	83	16	timeconsuming	timeconsuming	ADJ
app01-4634	83	17	for	for	ADP
app01-4634	83	18	large	large	ADJ
app01-4634	83	19	sets	set	NOUN
app01-4634	83	20	of	of	ADP
app01-4634	83	21	particles	particle	NOUN
app01-4634	83	22	.	.	PUNCT
app01-4634	84	1	therefore	therefore	ADV
app01-4634	84	2	,	,	PUNCT
app01-4634	84	3	it	it	PRON
app01-4634	84	4	is	be	AUX
app01-4634	84	5	convenient	convenient	ADJ
app01-4634	84	6	to	to	PART
app01-4634	84	7	store	store	VERB
app01-4634	84	8	particles	particle	NOUN
app01-4634	84	9	in	in	ADP
app01-4634	84	10	an	an	DET
app01-4634	84	11	octree	octree	NOUN
app01-4634	84	12	structure	structure	NOUN
app01-4634	84	13	that	that	PRON
app01-4634	84	14	enables	enable	VERB
app01-4634	84	15	fast	fast	ADJ
app01-4634	84	16	spatial	spatial	ADJ
app01-4634	84	17	searching	searching	NOUN
app01-4634	84	18	.	.	PUNCT
app01-4634	85	1	4.2	4.2	NUM
app01-4634	85	2	.	.	X
app01-4634	85	3	interpolation	interpolation	NOUN
app01-4634	85	4	mesh	mesh	NOUN
app01-4634	85	5	update	update	NOUN
app01-4634	85	6	if	if	SCONJ
app01-4634	85	7	the	the	DET
app01-4634	85	8	area	area	NOUN
app01-4634	85	9	of	of	ADP
app01-4634	85	10	high	high	ADJ
app01-4634	85	11	interest	interest	NOUN
app01-4634	85	12	has	have	AUX
app01-4634	85	13	changed	change	VERB
app01-4634	85	14	,	,	PUNCT
app01-4634	85	15	it	it	PRON
app01-4634	85	16	seems	seem	VERB
app01-4634	85	17	natural	natural	ADJ
app01-4634	85	18	to	to	PART
app01-4634	85	19	change	change	VERB
app01-4634	85	20	the	the	DET
app01-4634	85	21	geometry	geometry	NOUN
app01-4634	85	22	of	of	ADP
app01-4634	85	23	the	the	DET
app01-4634	85	24	interpolation	interpolation	NOUN
app01-4634	85	25	mesh	mesh	NOUN
app01-4634	85	26	as	as	ADV
app01-4634	85	27	well	well	ADV
app01-4634	85	28	to	to	PART
app01-4634	85	29	provide	provide	VERB
app01-4634	85	30	a	a	DET
app01-4634	85	31	better	well	ADJ
app01-4634	85	32	shape	shape	NOUN
app01-4634	85	33	of	of	ADP
app01-4634	85	34	interpolation	interpolation	NOUN
app01-4634	85	35	elements	element	NOUN
app01-4634	85	36	at	at	ADP
app01-4634	85	37	the	the	DET
app01-4634	85	38	interface	interface	NOUN
app01-4634	85	39	between	between	ADP
app01-4634	85	40	areas	area	NOUN
app01-4634	85	41	of	of	ADP
app01-4634	85	42	low	low	ADJ
app01-4634	85	43	and	and	CCONJ
app01-4634	85	44	high	high	ADJ
app01-4634	85	45	interest	interest	NOUN
app01-4634	85	46	.	.	PUNCT
app01-4634	86	1	however	however	ADV
app01-4634	86	2	,	,	PUNCT
app01-4634	86	3	this	this	DET
app01-4634	86	4	change	change	NOUN
app01-4634	86	5	is	be	AUX
app01-4634	86	6	extremely	extremely	ADV
app01-4634	86	7	expensive	expensive	ADJ
app01-4634	86	8	,	,	PUNCT
app01-4634	86	9	as	as	SCONJ
app01-4634	86	10	explained	explain	VERB
app01-4634	86	11	in	in	ADP
app01-4634	86	12	section	section	NOUN
app01-4634	86	13	4.3	4.3	NUM
app01-4634	86	14	,	,	PUNCT
app01-4634	86	15	and	and	CCONJ
app01-4634	86	16	does	do	AUX
app01-4634	86	17	not	not	PART
app01-4634	86	18	bring	bring	VERB
app01-4634	86	19	any	any	DET
app01-4634	86	20	significant	significant	ADJ
app01-4634	86	21	improvement	improvement	NOUN
app01-4634	86	22	of	of	ADP
app01-4634	86	23	accuracy	accuracy	NOUN
app01-4634	86	24	.	.	PUNCT
app01-4634	87	1	therefore	therefore	ADV
app01-4634	87	2	,	,	PUNCT
app01-4634	87	3	it	it	PRON
app01-4634	87	4	turns	turn	VERB
app01-4634	87	5	out	out	ADP
app01-4634	87	6	to	to	PART
app01-4634	87	7	be	be	AUX
app01-4634	87	8	more	more	ADV
app01-4634	87	9	effective	effective	ADJ
app01-4634	87	10	to	to	PART
app01-4634	87	11	use	use	VERB
app01-4634	87	12	relatively	relatively	ADV
app01-4634	87	13	small	small	ADJ
app01-4634	87	14	elements	element	NOUN
app01-4634	87	15	with	with	ADP
app01-4634	87	16	fixed	fix	VERB
app01-4634	87	17	geometry	geometry	NOUN
app01-4634	87	18	instead	instead	ADV
app01-4634	87	19	of	of	ADP
app01-4634	87	20	changing	change	VERB
app01-4634	87	21	the	the	DET
app01-4634	87	22	size	size	NOUN
app01-4634	87	23	of	of	ADP
app01-4634	87	24	elements	element	NOUN
app01-4634	87	25	during	during	ADP
app01-4634	87	26	the	the	DET
app01-4634	87	27	simulation	simulation	NOUN
app01-4634	87	28	.	.	PUNCT
app01-4634	88	1	only	only	ADV
app01-4634	88	2	the	the	DET
app01-4634	88	3	elements	element	NOUN
app01-4634	88	4	that	that	PRON
app01-4634	88	5	are	be	AUX
app01-4634	88	6	completely	completely	ADV
app01-4634	88	7	covered	cover	VERB
app01-4634	88	8	by	by	ADP
app01-4634	88	9	the	the	DET
app01-4634	88	10	extended	extended	ADJ
app01-4634	88	11	area	area	NOUN
app01-4634	88	12	of	of	ADP
app01-4634	88	13	high	high	ADJ
app01-4634	88	14	interest	interest	NOUN
app01-4634	88	15	become	become	VERB
app01-4634	88	16	useless	useless	ADJ
app01-4634	88	17	and	and	CCONJ
app01-4634	88	18	can	can	AUX
app01-4634	88	19	be	be	AUX
app01-4634	88	20	removed	remove	VERB
app01-4634	88	21	from	from	ADP
app01-4634	88	22	the	the	DET
app01-4634	88	23	model	model	NOUN
app01-4634	88	24	.	.	PUNCT
app01-4634	89	1	if	if	SCONJ
app01-4634	89	2	the	the	DET
app01-4634	89	3	interpolation	interpolation	NOUN
app01-4634	89	4	elements	element	NOUN
app01-4634	89	5	are	be	AUX
app01-4634	89	6	not	not	PART
app01-4634	89	7	changed	change	VERB
app01-4634	89	8	,	,	PUNCT
app01-4634	89	9	the	the	DET
app01-4634	89	10	updating	update	VERB
app01-4634	89	11	radius	radius	NOUN
app01-4634	89	12	must	must	AUX
app01-4634	89	13	be	be	AUX
app01-4634	89	14	larger	large	ADJ
app01-4634	89	15	than	than	ADP
app01-4634	89	16	the	the	DET
app01-4634	89	17	size	size	NOUN
app01-4634	89	18	of	of	ADP
app01-4634	89	19	interpolation	interpolation	NOUN
app01-4634	89	20	elements	element	NOUN
app01-4634	89	21	to	to	PART
app01-4634	89	22	ensure	ensure	VERB
app01-4634	89	23	that	that	SCONJ
app01-4634	89	24	the	the	DET
app01-4634	89	25	nodes	node	NOUN
app01-4634	89	26	of	of	ADP
app01-4634	89	27	one	one	NUM
app01-4634	89	28	interpolation	interpolation	NOUN
app01-4634	89	29	element	element	NOUN
app01-4634	89	30	are	be	AUX
app01-4634	89	31	not	not	PART
app01-4634	89	32	located	locate	VERB
app01-4634	89	33	on	on	ADP
app01-4634	89	34	the	the	DET
app01-4634	89	35	opposite	opposite	ADJ
app01-4634	89	36	sides	side	NOUN
app01-4634	89	37	of	of	ADP
app01-4634	89	38	the	the	DET
app01-4634	89	39	crack	crack	NOUN
app01-4634	89	40	(	(	PUNCT
app01-4634	89	41	otherwise	otherwise	ADV
app01-4634	89	42	,	,	PUNCT
app01-4634	89	43	special	special	ADJ
app01-4634	89	44	finite	finite	NOUN
app01-4634	89	45	element	element	NOUN
app01-4634	89	46	techniques	technique	NOUN
app01-4634	89	47	such	such	ADJ
app01-4634	89	48	as	as	ADP
app01-4634	89	49	xfem	xfem	PROPN
app01-4634	89	50	must	must	AUX
app01-4634	89	51	be	be	AUX
app01-4634	89	52	used	use	VERB
app01-4634	89	53	)	)	PUNCT
app01-4634	89	54	.	.	PUNCT
app01-4634	90	1	4.3	4.3	NUM
app01-4634	90	2	.	.	PUNCT
app01-4634	90	3	stiffness	stiffness	ADJ
app01-4634	90	4	tensors	tensor	NOUN
app01-4634	90	5	update	update	VERB
app01-4634	90	6	generally	generally	ADV
app01-4634	90	7	,	,	PUNCT
app01-4634	90	8	there	there	PRON
app01-4634	90	9	are	be	VERB
app01-4634	90	10	three	three	NUM
app01-4634	90	11	reasons	reason	NOUN
app01-4634	90	12	why	why	SCONJ
app01-4634	90	13	stiffness	stiffness	ADJ
app01-4634	90	14	tensors	tensor	NOUN
app01-4634	90	15	must	must	AUX
app01-4634	90	16	be	be	AUX
app01-4634	90	17	updated	update	VERB
app01-4634	90	18	.	.	PUNCT
app01-4634	91	1	(	(	PUNCT
app01-4634	91	2	1	1	NUM
app01-4634	91	3	.	.	PUNCT
app01-4634	91	4	)	)	PUNCT
app01-4634	91	5	breakage	breakage	NOUN
app01-4634	91	6	of	of	ADP
app01-4634	91	7	a	a	DET
app01-4634	91	8	link	link	NOUN
app01-4634	91	9	(	(	PUNCT
app01-4634	91	10	2	2	NUM
app01-4634	91	11	.	.	PUNCT
app01-4634	91	12	)	)	PUNCT
app01-4634	91	13	change	change	NOUN
app01-4634	91	14	of	of	ADP
app01-4634	91	15	a	a	DET
app01-4634	91	16	region	region	NOUN
app01-4634	91	17	of	of	ADP
app01-4634	91	18	high	high	ADJ
app01-4634	91	19	interest	interest	NOUN
app01-4634	91	20	(	(	PUNCT
app01-4634	91	21	3	3	NUM
app01-4634	91	22	.	.	PUNCT
app01-4634	91	23	)	)	PUNCT
app01-4634	92	1	change	change	NOUN
app01-4634	92	2	of	of	ADP
app01-4634	92	3	the	the	DET
app01-4634	92	4	interpolation	interpolation	NOUN
app01-4634	92	5	mesh	mesh	VERB
app01-4634	92	6	the	the	DET
app01-4634	92	7	breakage	breakage	NOUN
app01-4634	92	8	of	of	ADP
app01-4634	92	9	one	one	NUM
app01-4634	92	10	link	link	NOUN
app01-4634	92	11	occurs	occur	VERB
app01-4634	92	12	in	in	ADP
app01-4634	92	13	each	each	DET
app01-4634	92	14	simulation	simulation	NOUN
app01-4634	92	15	step	step	NOUN
app01-4634	92	16	.	.	PUNCT
app01-4634	93	1	the	the	DET
app01-4634	93	2	resulting	result	VERB
app01-4634	93	3	update	update	NOUN
app01-4634	93	4	of	of	ADP
app01-4634	93	5	stiffness	stiffness	ADJ
app01-4634	93	6	tensors	tensor	NOUN
app01-4634	93	7	can	can	AUX
app01-4634	93	8	be	be	AUX
app01-4634	93	9	simply	simply	ADV
app01-4634	93	10	realized	realize	VERB
app01-4634	93	11	by	by	ADP
app01-4634	93	12	subtracting	subtract	VERB
app01-4634	93	13	the	the	DET
app01-4634	93	14	stiffness	stiffness	ADJ
app01-4634	93	15	contributions	contribution	NOUN
app01-4634	93	16	of	of	ADP
app01-4634	93	17	broken	broken	ADJ
app01-4634	93	18	links	link	NOUN
app01-4634	93	19	from	from	ADP
app01-4634	93	20	all	all	DET
app01-4634	93	21	corresponding	correspond	VERB
app01-4634	93	22	stiffness	stiffness	ADJ
app01-4634	93	23	tensors	tensor	NOUN
app01-4634	93	24	.	.	PUNCT
app01-4634	94	1	the	the	DET
app01-4634	94	2	change	change	NOUN
app01-4634	94	3	of	of	ADP
app01-4634	94	4	the	the	DET
app01-4634	94	5	area	area	NOUN
app01-4634	94	6	of	of	ADP
app01-4634	94	7	high	high	ADJ
app01-4634	94	8	interest	interest	NOUN
app01-4634	94	9	is	be	AUX
app01-4634	94	10	realized	realize	VERB
app01-4634	94	11	by	by	ADP
app01-4634	94	12	adding	add	VERB
app01-4634	94	13	new	new	ADJ
app01-4634	94	14	repnodes	repnode	NOUN
app01-4634	94	15	.	.	PUNCT
app01-4634	95	1	consequently	consequently	ADV
app01-4634	95	2	,	,	PUNCT
app01-4634	95	3	the	the	DET
app01-4634	95	4	type	type	NOUN
app01-4634	95	5	of	of	ADP
app01-4634	95	6	ending	end	VERB
app01-4634	95	7	particles	particle	NOUN
app01-4634	95	8	of	of	ADP
app01-4634	95	9	some	some	DET
app01-4634	95	10	links	link	NOUN
app01-4634	95	11	is	be	AUX
app01-4634	95	12	changed	change	VERB
app01-4634	95	13	.	.	PUNCT
app01-4634	96	1	all	all	DET
app01-4634	96	2	links	link	NOUN
app01-4634	96	3	changed	change	VERB
app01-4634	96	4	to	to	PART
app01-4634	96	5	type	type	VERB
app01-4634	96	6	repnode	repnode	ADJ
app01-4634	96	7	–	–	PUNCT
app01-4634	96	8	repnode	repnode	ADJ
app01-4634	96	9	and	and	CCONJ
app01-4634	96	10	some	some	DET
app01-4634	96	11	specific	specific	ADJ
app01-4634	96	12	links	link	NOUN
app01-4634	96	13	changed	change	VERB
app01-4634	96	14	to	to	PART
app01-4634	96	15	type	type	VERB
app01-4634	96	16	repnode	repnode	ADJ
app01-4634	96	17	–	–	PUNCT
app01-4634	96	18	hangingnode	hangingnode	NOUN
app01-4634	96	19	need	need	NOUN
app01-4634	96	20	to	to	PART
app01-4634	96	21	be	be	AUX
app01-4634	96	22	solved	solve	VERB
app01-4634	96	23	explicitly	explicitly	ADV
app01-4634	96	24	from	from	ADP
app01-4634	96	25	this	this	DET
app01-4634	96	26	moment	moment	NOUN
app01-4634	96	27	.	.	PUNCT
app01-4634	97	1	all	all	DET
app01-4634	97	2	such	such	ADJ
app01-4634	97	3	links	link	NOUN
app01-4634	97	4	must	must	AUX
app01-4634	97	5	be	be	AUX
app01-4634	97	6	identified	identify	VERB
app01-4634	97	7	and	and	CCONJ
app01-4634	97	8	their	their	PRON
app01-4634	97	9	stiffness	stiffness	ADJ
app01-4634	97	10	influence	influence	NOUN
app01-4634	97	11	is	be	AUX
app01-4634	97	12	subtracted	subtract	VERB
app01-4634	97	13	in	in	ADP
app01-4634	97	14	the	the	DET
app01-4634	97	15	same	same	ADJ
app01-4634	97	16	way	way	NOUN
app01-4634	97	17	as	as	ADP
app01-4634	97	18	for	for	ADP
app01-4634	97	19	broken	broken	ADJ
app01-4634	97	20	links	link	NOUN
app01-4634	97	21	.	.	PUNCT
app01-4634	98	1	the	the	DET
app01-4634	98	2	change	change	NOUN
app01-4634	98	3	of	of	ADP
app01-4634	98	4	the	the	DET
app01-4634	98	5	geometry	geometry	NOUN
app01-4634	98	6	of	of	ADP
app01-4634	98	7	interpolation	interpolation	NOUN
app01-4634	98	8	mesh	mesh	NOUN
app01-4634	98	9	requires	require	VERB
app01-4634	98	10	a	a	DET
app01-4634	98	11	recalculation	recalculation	NOUN
app01-4634	98	12	of	of	ADP
app01-4634	98	13	local	local	ADJ
app01-4634	98	14	stiffness	stiffness	ADJ
app01-4634	98	15	tensors	tensor	NOUN
app01-4634	98	16	.	.	PUNCT
app01-4634	99	1	this	this	DET
app01-4634	99	2	recalculation	recalculation	NOUN
app01-4634	99	3	is	be	AUX
app01-4634	99	4	extremely	extremely	ADV
app01-4634	99	5	demanding	demanding	ADJ
app01-4634	99	6	because	because	SCONJ
app01-4634	99	7	all	all	DET
app01-4634	99	8	links	link	NOUN
app01-4634	99	9	must	must	AUX
app01-4634	99	10	be	be	AUX
app01-4634	99	11	visited	visit	VERB
app01-4634	99	12	.	.	PUNCT
app01-4634	100	1	even	even	ADV
app01-4634	100	2	if	if	SCONJ
app01-4634	100	3	the	the	DET
app01-4634	100	4	mesh	mesh	NOUN
app01-4634	100	5	is	be	AUX
app01-4634	100	6	changed	change	VERB
app01-4634	100	7	only	only	ADV
app01-4634	100	8	locally	locally	ADV
app01-4634	100	9	near	near	ADP
app01-4634	100	10	a	a	DET
app01-4634	100	11	newly	newly	ADV
app01-4634	100	12	created	create	VERB
app01-4634	100	13	area	area	NOUN
app01-4634	100	14	of	of	ADP
app01-4634	100	15	high	high	ADJ
app01-4634	100	16	interest	interest	NOUN
app01-4634	100	17	and	and	CCONJ
app01-4634	100	18	only	only	ADV
app01-4634	100	19	some	some	DET
app01-4634	100	20	elements	element	NOUN
app01-4634	100	21	are	be	AUX
app01-4634	100	22	affected	affect	VERB
app01-4634	100	23	,	,	PUNCT
app01-4634	100	24	it	it	PRON
app01-4634	100	25	is	be	AUX
app01-4634	100	26	not	not	PART
app01-4634	100	27	easy	easy	ADJ
app01-4634	100	28	to	to	PART
app01-4634	100	29	identify	identify	VERB
app01-4634	100	30	which	which	DET
app01-4634	100	31	links	link	NOUN
app01-4634	100	32	contribute	contribute	VERB
app01-4634	100	33	to	to	ADP
app01-4634	100	34	these	these	DET
app01-4634	100	35	elements	element	NOUN
app01-4634	100	36	and	and	CCONJ
app01-4634	100	37	this	this	DET
app01-4634	100	38	step	step	NOUN
app01-4634	100	39	significantly	significantly	ADV
app01-4634	100	40	slows	slow	VERB
app01-4634	100	41	down	down	ADP
app01-4634	100	42	the	the	DET
app01-4634	100	43	simulation	simulation	NOUN
app01-4634	100	44	time	time	NOUN
app01-4634	100	45	.	.	PUNCT
app01-4634	101	1	the	the	DET
app01-4634	101	2	recalculation	recalculation	NOUN
app01-4634	101	3	of	of	ADP
app01-4634	101	4	stiffness	stiffness	NOUN
app01-4634	101	5	can	can	AUX
app01-4634	101	6	be	be	AUX
app01-4634	101	7	sped	speed	VERB
app01-4634	101	8	up	up	ADP
app01-4634	101	9	by	by	ADP
app01-4634	101	10	storing	store	VERB
app01-4634	101	11	the	the	DET
app01-4634	101	12	information	information	NOUN
app01-4634	101	13	of	of	ADP
app01-4634	101	14	element	element	ADJ
app01-4634	101	15	contributions	contribution	NOUN
app01-4634	101	16	during	during	ADP
app01-4634	101	17	the	the	DET
app01-4634	101	18	assemblage	assemblage	NOUN
app01-4634	101	19	of	of	ADP
app01-4634	101	20	stiffness	stiffness	ADJ
app01-4634	101	21	tensors	tensor	NOUN
app01-4634	101	22	at	at	ADP
app01-4634	101	23	the	the	DET
app01-4634	101	24	beginning	beginning	NOUN
app01-4634	101	25	of	of	ADP
app01-4634	101	26	the	the	DET
app01-4634	101	27	simulation	simulation	NOUN
app01-4634	101	28	.	.	PUNCT
app01-4634	102	1	but	but	CCONJ
app01-4634	102	2	this	this	PRON
app01-4634	102	3	can	can	AUX
app01-4634	102	4	be	be	AUX
app01-4634	102	5	done	do	VERB
app01-4634	102	6	only	only	ADV
app01-4634	102	7	at	at	ADP
app01-4634	102	8	the	the	DET
app01-4634	102	9	price	price	NOUN
app01-4634	102	10	of	of	ADP
app01-4634	102	11	additional	additional	ADJ
app01-4634	102	12	memory	memory	NOUN
app01-4634	102	13	demands	demand	NOUN
app01-4634	102	14	,	,	PUNCT
app01-4634	102	15	which	which	PRON
app01-4634	102	16	may	may	AUX
app01-4634	102	17	become	become	VERB
app01-4634	102	18	critical	critical	ADJ
app01-4634	102	19	for	for	ADP
app01-4634	102	20	large	large	ADJ
app01-4634	102	21	numbers	number	NOUN
app01-4634	102	22	of	of	ADP
app01-4634	102	23	links	link	NOUN
app01-4634	102	24	.	.	PUNCT
app01-4634	103	1	5	5	X
app01-4634	103	2	.	.	NOUN
app01-4634	103	3	results	result	NOUN
app01-4634	103	4	to	to	PART
app01-4634	103	5	assess	assess	VERB
app01-4634	103	6	the	the	DET
app01-4634	103	7	efficiency	efficiency	NOUN
app01-4634	103	8	and	and	CCONJ
app01-4634	103	9	accuracy	accuracy	NOUN
app01-4634	103	10	,	,	PUNCT
app01-4634	103	11	the	the	DET
app01-4634	103	12	presented	present	VERB
app01-4634	103	13	adaptive	adaptive	PROPN
app01-4634	103	14	qc	qc	PROPN
app01-4634	103	15	algorithm	algorithm	PROPN
app01-4634	103	16	has	have	AUX
app01-4634	103	17	been	be	AUX
app01-4634	103	18	used	use	VERB
app01-4634	103	19	to	to	PART
app01-4634	103	20	simulate	simulate	VERB
app01-4634	103	21	failure	failure	NOUN
app01-4634	103	22	in	in	ADP
app01-4634	103	23	two	two	NUM
app01-4634	103	24	dimensions	dimension	NOUN
app01-4634	103	25	.	.	PUNCT
app01-4634	104	1	the	the	DET
app01-4634	104	2	l	l	ADV
app01-4634	104	3	-	-	ADJ
app01-4634	104	4	shaped	shape	VERB
app01-4634	104	5	specimen	speciman	NOUN
app01-4634	104	6	with	with	ADP
app01-4634	104	7	dimensions	dimension	NOUN
app01-4634	104	8	100×100	100×100	NUM
app01-4634	104	9	mm	mm	INTJ
app01-4634	104	10	(	(	PUNCT
app01-4634	104	11	which	which	PRON
app01-4634	104	12	may	may	AUX
app01-4634	104	13	correspond	correspond	VERB
app01-4634	104	14	to	to	ADP
app01-4634	104	15	a	a	DET
app01-4634	104	16	joint	joint	NOUN
app01-4634	104	17	of	of	ADP
app01-4634	104	18	a	a	DET
app01-4634	104	19	frame	frame	NOUN
app01-4634	104	20	)	)	PUNCT
app01-4634	104	21	is	be	AUX
app01-4634	104	22	fixed	fix	VERB
app01-4634	104	23	at	at	ADP
app01-4634	104	24	the	the	DET
app01-4634	104	25	bottom	bottom	ADJ
app01-4634	104	26	section	section	NOUN
app01-4634	104	27	and	and	CCONJ
app01-4634	104	28	loaded	load	VERB
app01-4634	104	29	by	by	ADP
app01-4634	104	30	prescribed	prescribe	VERB
app01-4634	104	31	vertical	vertical	ADJ
app01-4634	104	32	displacements	displacement	NOUN
app01-4634	104	33	imposed	impose	VERB
app01-4634	104	34	at	at	ADP
app01-4634	104	35	the	the	DET
app01-4634	104	36	right	right	ADJ
app01-4634	104	37	end	end	NOUN
app01-4634	104	38	section	section	NOUN
app01-4634	104	39	;	;	PUNCT
app01-4634	104	40	see	see	VERB
app01-4634	104	41	figure	figure	NOUN
app01-4634	104	42	1	1	NUM
app01-4634	104	43	.	.	PUNCT
app01-4634	105	1	as	as	ADP
app01-4634	105	2	a	a	DET
app01-4634	105	3	result	result	NOUN
app01-4634	105	4	of	of	ADP
app01-4634	105	5	this	this	DET
app01-4634	105	6	loading	loading	NOUN
app01-4634	105	7	,	,	PUNCT
app01-4634	105	8	the	the	DET
app01-4634	105	9	non	non	ADJ
app01-4634	105	10	-	-	ADJ
app01-4634	105	11	convex	convex	ADJ
app01-4634	105	12	corner	corner	NOUN
app01-4634	105	13	is	be	AUX
app01-4634	105	14	opened	open	VERB
app01-4634	105	15	82	82	NUM
app01-4634	105	16	vol	vol	NOUN
app01-4634	105	17	.	.	PUNCT
app01-4634	106	1	13/2017	13/2017	NUM
app01-4634	106	2	adaptive	adaptive	ADJ
app01-4634	106	3	quasicontinuum	quasicontinuum	PROPN
app01-4634	106	4	simulation	simulation	NOUN
app01-4634	106	5	of	of	ADP
app01-4634	106	6	disordered	disordered	ADJ
app01-4634	106	7	lattices	lattice	NOUN
app01-4634	106	8	0	0	NUM
app01-4634	106	9	20	20	NUM
app01-4634	106	10	40	40	NUM
app01-4634	106	11	60	60	NUM
app01-4634	106	12	80	80	NUM
app01-4634	106	13	100	100	NUM
app01-4634	106	14	0	0	NUM
app01-4634	106	15	10	10	NUM
app01-4634	106	16	20	20	NUM
app01-4634	106	17	30	30	NUM
app01-4634	106	18	40	40	NUM
app01-4634	106	19	50	50	NUM
app01-4634	106	20	60	60	NUM
app01-4634	106	21	70	70	NUM
app01-4634	106	22	80	80	NUM
app01-4634	106	23	90	90	NUM
app01-4634	106	24	100	100	NUM
app01-4634	106	25	↑	↑	PROPN
app01-4634	106	26	↑	↑	PROPN
app01-4634	106	27	↑	↑	PROPN
app01-4634	106	28	↑	↑	PROPN
app01-4634	106	29	↑	↑	PROPN
app01-4634	106	30	↑	↑	PROPN
app01-4634	106	31	0	0	NUM
app01-4634	107	1	20	20	NUM
app01-4634	107	2	40	40	NUM
app01-4634	107	3	60	60	NUM
app01-4634	107	4	80	80	NUM
app01-4634	107	5	100	100	NUM
app01-4634	107	6	0	0	NUM
app01-4634	107	7	10	10	NUM
app01-4634	107	8	20	20	NUM
app01-4634	107	9	30	30	NUM
app01-4634	107	10	40	40	NUM
app01-4634	107	11	50	50	NUM
app01-4634	107	12	60	60	NUM
app01-4634	107	13	70	70	NUM
app01-4634	107	14	80	80	NUM
app01-4634	107	15	90	90	NUM
app01-4634	107	16	100	100	NUM
app01-4634	107	17	↑	↑	PROPN
app01-4634	107	18	↑	↑	PROPN
app01-4634	107	19	↑	↑	PROPN
app01-4634	107	20	↑	↑	PROPN
app01-4634	107	21	↑	↑	PROPN
app01-4634	107	22	↑	↑	PROPN
app01-4634	107	23	0	0	NUM
app01-4634	107	24	20	20	NUM
app01-4634	107	25	40	40	NUM
app01-4634	107	26	60	60	NUM
app01-4634	107	27	80	80	NUM
app01-4634	107	28	100	100	NUM
app01-4634	107	29	0	0	NUM
app01-4634	107	30	10	10	NUM
app01-4634	107	31	20	20	NUM
app01-4634	107	32	30	30	NUM
app01-4634	107	33	40	40	NUM
app01-4634	107	34	50	50	NUM
app01-4634	107	35	60	60	NUM
app01-4634	107	36	70	70	NUM
app01-4634	107	37	80	80	NUM
app01-4634	107	38	90	90	NUM
app01-4634	107	39	100	100	NUM
app01-4634	107	40	↑	↑	PROPN
app01-4634	107	41	↑	↑	PROPN
app01-4634	107	42	↑	↑	PROPN
app01-4634	107	43	↑	↑	PROPN
app01-4634	107	44	↑	↑	PROPN
app01-4634	107	45	↑	↑	PROPN
app01-4634	107	46	figure	figure	NOUN
app01-4634	107	47	1	1	NUM
app01-4634	107	48	.	.	PUNCT
app01-4634	107	49	interpolation	interpolation	NOUN
app01-4634	107	50	elements	element	NOUN
app01-4634	107	51	and	and	CCONJ
app01-4634	107	52	area	area	NOUN
app01-4634	107	53	of	of	ADP
app01-4634	107	54	high	high	ADJ
app01-4634	107	55	interest	interest	NOUN
app01-4634	107	56	(	(	PUNCT
app01-4634	107	57	black	black	NOUN
app01-4634	107	58	)	)	PUNCT
app01-4634	107	59	and	and	CCONJ
app01-4634	107	60	broken	broken	ADJ
app01-4634	107	61	links	link	NOUN
app01-4634	107	62	(	(	PUNCT
app01-4634	107	63	red	red	ADJ
app01-4634	107	64	)	)	PUNCT
app01-4634	107	65	in	in	ADP
app01-4634	107	66	the	the	DET
app01-4634	107	67	first	first	ADJ
app01-4634	107	68	(	(	PUNCT
app01-4634	107	69	left	left	ADV
app01-4634	107	70	)	)	PUNCT
app01-4634	107	71	,	,	PUNCT
app01-4634	107	72	100	100	NUM
app01-4634	107	73	-	-	PUNCT
app01-4634	107	74	th	th	X
app01-4634	107	75	(	(	PUNCT
app01-4634	107	76	middle	middle	NOUN
app01-4634	107	77	)	)	PUNCT
app01-4634	107	78	and	and	CCONJ
app01-4634	107	79	the	the	DET
app01-4634	107	80	last	last	ADJ
app01-4634	107	81	step	step	NOUN
app01-4634	107	82	of	of	ADP
app01-4634	107	83	simulation	simulation	NOUN
app01-4634	107	84	(	(	PUNCT
app01-4634	107	85	right	right	ADJ
app01-4634	107	86	)	)	PUNCT
app01-4634	107	87	.	.	PUNCT
app01-4634	108	1	0	0	NUM
app01-4634	109	1	20	20	NUM
app01-4634	109	2	40	40	NUM
app01-4634	109	3	60	60	NUM
app01-4634	109	4	80	80	NUM
app01-4634	109	5	100	100	NUM
app01-4634	109	6	0	0	NUM
app01-4634	109	7	10	10	NUM
app01-4634	109	8	20	20	NUM
app01-4634	109	9	30	30	NUM
app01-4634	109	10	40	40	NUM
app01-4634	109	11	50	50	NUM
app01-4634	109	12	60	60	NUM
app01-4634	109	13	70	70	NUM
app01-4634	109	14	80	80	NUM
app01-4634	109	15	90	90	NUM
app01-4634	109	16	100	100	NUM
app01-4634	109	17	figure	figure	NOUN
app01-4634	109	18	2	2	NUM
app01-4634	109	19	.	.	PUNCT
app01-4634	109	20	broken	break	VERB
app01-4634	109	21	links	link	NOUN
app01-4634	109	22	computed	compute	VERB
app01-4634	109	23	with	with	ADP
app01-4634	109	24	exact	exact	ADJ
app01-4634	109	25	particle	particle	NOUN
app01-4634	109	26	approach	approach	NOUN
app01-4634	109	27	a0	a0	NOUN
app01-4634	109	28	(	(	PUNCT
app01-4634	109	29	black	black	NOUN
app01-4634	109	30	)	)	PUNCT
app01-4634	109	31	and	and	CCONJ
app01-4634	109	32	with	with	ADP
app01-4634	109	33	qc	qc	PROPN
app01-4634	109	34	approach	approach	NOUN
app01-4634	109	35	with	with	ADP
app01-4634	109	36	local	local	ADJ
app01-4634	109	37	anisotropic	anisotropic	NOUN
app01-4634	109	38	homogenization	homogenization	NOUN
app01-4634	109	39	a3	a3	NOUN
app01-4634	109	40	(	(	PUNCT
app01-4634	109	41	red	red	ADJ
app01-4634	109	42	)	)	PUNCT
app01-4634	109	43	.	.	PUNCT
app01-4634	110	1	and	and	CCONJ
app01-4634	110	2	cracking	cracking	NOUN
app01-4634	110	3	of	of	ADP
app01-4634	110	4	links	link	NOUN
app01-4634	110	5	is	be	AUX
app01-4634	110	6	expected	expect	VERB
app01-4634	110	7	to	to	PART
app01-4634	110	8	start	start	VERB
app01-4634	110	9	in	in	ADP
app01-4634	110	10	this	this	DET
app01-4634	110	11	region	region	NOUN
app01-4634	110	12	.	.	PUNCT
app01-4634	111	1	therefore	therefore	ADV
app01-4634	111	2	,	,	PUNCT
app01-4634	111	3	a	a	DET
app01-4634	111	4	small	small	ADJ
app01-4634	111	5	initial	initial	ADJ
app01-4634	111	6	area	area	NOUN
app01-4634	111	7	of	of	ADP
app01-4634	111	8	high	high	ADJ
app01-4634	111	9	interest	interest	NOUN
app01-4634	111	10	is	be	AUX
app01-4634	111	11	prescribed	prescribe	VERB
app01-4634	111	12	around	around	ADP
app01-4634	111	13	this	this	DET
app01-4634	111	14	corner	corner	NOUN
app01-4634	111	15	;	;	PUNCT
app01-4634	111	16	see	see	VERB
app01-4634	111	17	figure	figure	NOUN
app01-4634	111	18	1	1	NUM
app01-4634	111	19	(	(	PUNCT
app01-4634	111	20	left	leave	VERB
app01-4634	111	21	)	)	PUNCT
app01-4634	111	22	.	.	PUNCT
app01-4634	112	1	the	the	DET
app01-4634	112	2	random	random	ADJ
app01-4634	112	3	microstructure	microstructure	NOUN
app01-4634	112	4	is	be	AUX
app01-4634	112	5	generated	generate	VERB
app01-4634	112	6	with	with	ADP
app01-4634	112	7	a	a	DET
app01-4634	112	8	density	density	NOUN
app01-4634	112	9	that	that	PRON
app01-4634	112	10	corresponds	correspond	VERB
app01-4634	112	11	to	to	ADP
app01-4634	112	12	67	67	NUM
app01-4634	112	13	particles	particle	NOUN
app01-4634	112	14	along	along	ADP
app01-4634	112	15	the	the	DET
app01-4634	112	16	short	short	ADJ
app01-4634	112	17	edge	edge	NOUN
app01-4634	112	18	,	,	PUNCT
app01-4634	112	19	leading	lead	VERB
app01-4634	112	20	to	to	ADP
app01-4634	112	21	a	a	DET
app01-4634	112	22	total	total	NOUN
app01-4634	112	23	of	of	ADP
app01-4634	112	24	19,000	19,000	NUM
app01-4634	112	25	particles	particle	NOUN
app01-4634	112	26	connected	connect	VERB
app01-4634	112	27	by	by	ADP
app01-4634	112	28	64,064	64,064	NUM
app01-4634	112	29	links	link	NOUN
app01-4634	112	30	.	.	PUNCT
app01-4634	113	1	basic	basic	ADJ
app01-4634	113	2	characteristics	characteristic	NOUN
app01-4634	113	3	of	of	ADP
app01-4634	113	4	models	model	NOUN
app01-4634	113	5	used	use	VERB
app01-4634	113	6	by	by	ADP
app01-4634	113	7	full	full	ADJ
app01-4634	113	8	particle	particle	NOUN
app01-4634	113	9	and	and	CCONJ
app01-4634	113	10	qc	qc	PROPN
app01-4634	113	11	simplified	simplify	VERB
app01-4634	113	12	simulations	simulation	NOUN
app01-4634	113	13	are	be	AUX
app01-4634	113	14	listed	list	VERB
app01-4634	113	15	in	in	ADP
app01-4634	113	16	table	table	NOUN
app01-4634	113	17	1	1	NUM
app01-4634	113	18	.	.	PUNCT
app01-4634	114	1	material	material	NOUN
app01-4634	114	2	parameters	parameter	NOUN
app01-4634	114	3	are	be	AUX
app01-4634	114	4	considered	consider	VERB
app01-4634	114	5	to	to	PART
app01-4634	114	6	be	be	AUX
app01-4634	114	7	the	the	DET
app01-4634	114	8	same	same	ADJ
app01-4634	114	9	for	for	ADP
app01-4634	114	10	all	all	DET
app01-4634	114	11	links	link	NOUN
app01-4634	114	12	.	.	PUNCT
app01-4634	115	1	as	as	SCONJ
app01-4634	115	2	expected	expect	VERB
app01-4634	115	3	,	,	PUNCT
app01-4634	115	4	cracking	crack	VERB
app01-4634	115	5	starts	start	NOUN
app01-4634	115	6	in	in	ADP
app01-4634	115	7	the	the	DET
app01-4634	115	8	non	non	ADJ
app01-4634	115	9	-	-	ADJ
app01-4634	115	10	convex	convex	ADJ
app01-4634	115	11	corner	corner	NOUN
app01-4634	115	12	.	.	PUNCT
app01-4634	116	1	duringcrack	duringcrack	PROPN
app01-4634	116	2	growth	growth	NOUN
app01-4634	117	1	,	,	PUNCT
app01-4634	117	2	the	the	DET
app01-4634	117	3	area	area	NOUN
app01-4634	117	4	of	of	ADP
app01-4634	117	5	high	high	ADJ
app01-4634	117	6	interest	interest	NOUN
app01-4634	117	7	is	be	AUX
app01-4634	117	8	increased	increase	VERB
app01-4634	117	9	around	around	ADP
app01-4634	117	10	newly	newly	ADV
app01-4634	117	11	broken	break	VERB
app01-4634	117	12	links	link	NOUN
app01-4634	117	13	.	.	PUNCT
app01-4634	118	1	interpolation	interpolation	NOUN
app01-4634	118	2	elements	element	NOUN
app01-4634	118	3	completely	completely	ADV
app01-4634	118	4	covered	cover	VERB
app01-4634	118	5	by	by	ADP
app01-4634	118	6	the	the	DET
app01-4634	118	7	area	area	NOUN
app01-4634	118	8	of	of	ADP
app01-4634	118	9	high	high	ADJ
app01-4634	118	10	interest	interest	NOUN
app01-4634	118	11	are	be	AUX
app01-4634	118	12	removed	remove	VERB
app01-4634	118	13	from	from	ADP
app01-4634	118	14	the	the	DET
app01-4634	118	15	model	model	NOUN
app01-4634	118	16	,	,	PUNCT
app01-4634	118	17	but	but	CCONJ
app01-4634	118	18	the	the	DET
app01-4634	118	19	geometry	geometry	NOUN
app01-4634	118	20	of	of	ADP
app01-4634	118	21	the	the	DET
app01-4634	118	22	remaining	remain	VERB
app01-4634	118	23	interpolation	interpolation	NOUN
app01-4634	118	24	elements	element	NOUN
app01-4634	118	25	is	be	AUX
app01-4634	118	26	not	not	PART
app01-4634	118	27	changed	change	VERB
app01-4634	118	28	.	.	PUNCT
app01-4634	119	1	the	the	DET
app01-4634	119	2	areas	area	NOUN
app01-4634	119	3	of	of	ADP
app01-4634	119	4	high	high	ADJ
app01-4634	119	5	interest	interest	NOUN
app01-4634	119	6	in	in	ADP
app01-4634	119	7	different	different	ADJ
app01-4634	119	8	loading	loading	NOUN
app01-4634	119	9	steps	step	NOUN
app01-4634	119	10	are	be	AUX
app01-4634	119	11	depicted	depict	VERB
app01-4634	119	12	in	in	ADP
app01-4634	119	13	figure	figure	NOUN
app01-4634	119	14	1	1	NUM
app01-4634	119	15	.	.	PUNCT
app01-4634	120	1	overall	overall	ADJ
app01-4634	120	2	240	240	NUM
app01-4634	120	3	simulation	simulation	NOUN
app01-4634	120	4	steps	step	NOUN
app01-4634	120	5	0	0	NUM
app01-4634	120	6	1	1	NUM
app01-4634	120	7	2	2	NUM
app01-4634	120	8	3	3	NUM
app01-4634	120	9	4	4	NUM
app01-4634	120	10	0	0	NUM
app01-4634	120	11	5	5	NUM
app01-4634	120	12	10	10	NUM
app01-4634	120	13	15	15	NUM
app01-4634	120	14	20	20	NUM
app01-4634	120	15	25	25	NUM
app01-4634	120	16	30	30	NUM
app01-4634	120	17	35	35	NUM
app01-4634	120	18	40	40	NUM
app01-4634	120	19	45	45	NUM
app01-4634	120	20	displacement	displacement	NOUN
app01-4634	120	21	[	[	X
app01-4634	120	22	mm	mm	X
app01-4634	120	23	]	]	X
app01-4634	120	24	f	f	X
app01-4634	120	25	o	o	X
app01-4634	120	26	rc	rc	X
app01-4634	120	27	e	e	PROPN
app01-4634	120	28	[	[	PUNCT
app01-4634	120	29	n	n	CCONJ
app01-4634	120	30	]	]	X
app01-4634	120	31	exact	exact	ADJ
app01-4634	120	32	particle	particle	NOUN
app01-4634	120	33	approach	approach	NOUN
app01-4634	120	34	a0	a0	PROPN
app01-4634	120	35	qc	qc	PROPN
app01-4634	120	36	simplified	simplify	VERB
app01-4634	120	37	approach	approach	NOUN
app01-4634	120	38	a3	a3	NOUN
app01-4634	120	39	figure	figure	NOUN
app01-4634	120	40	3	3	NUM
app01-4634	120	41	.	.	PUNCT
app01-4634	120	42	force	force	NOUN
app01-4634	120	43	-	-	PUNCT
app01-4634	120	44	displacement	displacement	ADJ
app01-4634	120	45	diagrams	diagram	NOUN
app01-4634	120	46	computed	compute	VERB
app01-4634	120	47	with	with	ADP
app01-4634	120	48	exact	exact	ADJ
app01-4634	120	49	particle	particle	NOUN
app01-4634	120	50	approach	approach	NOUN
app01-4634	120	51	a0	a0	NOUN
app01-4634	120	52	(	(	PUNCT
app01-4634	120	53	black	black	NOUN
app01-4634	120	54	)	)	PUNCT
app01-4634	120	55	and	and	CCONJ
app01-4634	120	56	with	with	ADP
app01-4634	120	57	qc	qc	PROPN
app01-4634	120	58	approach	approach	NOUN
app01-4634	120	59	with	with	ADP
app01-4634	120	60	local	local	ADJ
app01-4634	120	61	anisotropic	anisotropic	NOUN
app01-4634	120	62	homogenization	homogenization	NOUN
app01-4634	120	63	a3	a3	NOUN
app01-4634	120	64	(	(	PUNCT
app01-4634	120	65	red	red	PROPN
app01-4634	120	66	)	)	PUNCT
app01-4634	120	67	.	.	PUNCT
app01-4634	121	1	a0	a0	PROPN
app01-4634	121	2	a1	a1	PROPN
app01-4634	121	3	a3	a3	NOUN
app01-4634	121	4	particles	particle	VERB
app01-4634	121	5	19,000	19,000	NUM
app01-4634	121	6	19,000	19,000	NUM
app01-4634	121	7	2,199	2,199	NUM
app01-4634	121	8	links	link	NOUN
app01-4634	121	9	64,064	64,064	NUM
app01-4634	121	10	64,064	64,064	NUM
app01-4634	121	11	2,929	2,929	NUM
app01-4634	121	12	elements	element	NOUN
app01-4634	121	13	0	0	NUM
app01-4634	121	14	1,542	1,542	NUM
app01-4634	121	15	1,542	1,542	NUM
app01-4634	121	16	repnodes	repnode	VERB
app01-4634	121	17	19,000	19,000	NUM
app01-4634	121	18	1,665	1,665	NUM
app01-4634	121	19	1,665	1,665	NUM
app01-4634	121	20	hnaging	hnage	VERB
app01-4634	121	21	nodes	node	NOUN
app01-4634	121	22	0	0	NUM
app01-4634	121	23	17,335	17,335	NUM
app01-4634	121	24	534	534	NUM
app01-4634	121	25	dofs	dof	NOUN
app01-4634	121	26	37,799	37,799	NUM
app01-4634	121	27	3,129	3,129	NUM
app01-4634	121	28	3,129	3,129	NUM
app01-4634	121	29	table	table	NOUN
app01-4634	121	30	1	1	NUM
app01-4634	121	31	.	.	PUNCT
app01-4634	121	32	numbers	number	NOUN
app01-4634	121	33	of	of	ADP
app01-4634	121	34	particles	particle	NOUN
app01-4634	121	35	,	,	PUNCT
app01-4634	121	36	links	link	NOUN
app01-4634	121	37	,	,	PUNCT
app01-4634	121	38	elements	element	NOUN
app01-4634	121	39	,	,	PUNCT
app01-4634	121	40	repnodes	repnode	NOUN
app01-4634	121	41	,	,	PUNCT
app01-4634	121	42	hanging	hang	VERB
app01-4634	121	43	nodes	node	NOUN
app01-4634	121	44	and	and	CCONJ
app01-4634	121	45	unknown	unknown	ADJ
app01-4634	121	46	dofs	dof	NOUN
app01-4634	121	47	for	for	ADP
app01-4634	121	48	exact	exact	ADJ
app01-4634	121	49	approach	approach	NOUN
app01-4634	121	50	(	(	PUNCT
app01-4634	121	51	a0	a0	PROPN
app01-4634	121	52	)	)	PUNCT
app01-4634	121	53	,	,	PUNCT
app01-4634	121	54	qc	qc	PROPN
app01-4634	121	55	approaches	approach	VERB
app01-4634	121	56	with	with	ADP
app01-4634	121	57	interpolation	interpolation	NOUN
app01-4634	121	58	only	only	ADV
app01-4634	121	59	(	(	PUNCT
app01-4634	121	60	a1	a1	NOUN
app01-4634	121	61	)	)	PUNCT
app01-4634	121	62	and	and	CCONJ
app01-4634	121	63	qc	qc	PROPN
app01-4634	121	64	approach	approach	NOUN
app01-4634	121	65	with	with	ADP
app01-4634	121	66	local	local	ADJ
app01-4634	121	67	anisotropic	anisotropic	NOUN
app01-4634	121	68	homogenization	homogenization	NOUN
app01-4634	121	69	(	(	PUNCT
app01-4634	121	70	a3	a3	NOUN
app01-4634	121	71	)	)	PUNCT
app01-4634	121	72	.	.	PUNCT
app01-4634	122	1	are	be	AUX
app01-4634	122	2	performed	perform	VERB
app01-4634	122	3	until	until	SCONJ
app01-4634	122	4	the	the	DET
app01-4634	122	5	specimen	speciman	NOUN
app01-4634	122	6	is	be	AUX
app01-4634	122	7	almost	almost	ADV
app01-4634	122	8	completely	completely	ADV
app01-4634	122	9	split	split	ADJ
app01-4634	122	10	;	;	PUNCT
app01-4634	122	11	see	see	VERB
app01-4634	122	12	figure	figure	NOUN
app01-4634	122	13	1	1	NUM
app01-4634	122	14	(	(	PUNCT
app01-4634	122	15	right	right	NOUN
app01-4634	122	16	)	)	PUNCT
app01-4634	122	17	.	.	PUNCT
app01-4634	123	1	three	three	NUM
app01-4634	123	2	different	different	ADJ
app01-4634	123	3	levels	level	NOUN
app01-4634	123	4	of	of	ADP
app01-4634	123	5	simplification	simplification	NOUN
app01-4634	123	6	are	be	AUX
app01-4634	123	7	used	use	VERB
app01-4634	123	8	and	and	CCONJ
app01-4634	123	9	compared	compare	VERB
app01-4634	123	10	.	.	PUNCT
app01-4634	124	1	•	•	NUM
app01-4634	124	2	full	full	ADJ
app01-4634	124	3	(	(	PUNCT
app01-4634	124	4	exact	exact	ADJ
app01-4634	124	5	)	)	PUNCT
app01-4634	124	6	particle	particle	NOUN
app01-4634	124	7	approach	approach	NOUN
app01-4634	124	8	(	(	PUNCT
app01-4634	124	9	a0	a0	PROPN
app01-4634	124	10	)	)	PUNCT
app01-4634	124	11	.	.	PUNCT
app01-4634	125	1	•	•	NUM
app01-4634	125	2	qc	qc	PROPN
app01-4634	125	3	simplified	simplify	VERB
app01-4634	125	4	approach	approach	NOUN
app01-4634	125	5	with	with	ADP
app01-4634	125	6	interpolation	interpolation	NOUN
app01-4634	125	7	only	only	ADV
app01-4634	125	8	(	(	PUNCT
app01-4634	125	9	a1	a1	NOUN
app01-4634	125	10	)	)	PUNCT
app01-4634	125	11	.	.	PUNCT
app01-4634	126	1	83	83	NUM
app01-4634	126	2	karel	karel	PROPN
app01-4634	126	3	mikeš	mikeš	PROPN
app01-4634	126	4	,	,	PUNCT
app01-4634	126	5	milan	milan	PROPN
app01-4634	126	6	jirásek	jirásek	PROPN
app01-4634	126	7	acta	acta	PROPN
app01-4634	126	8	polytechnica	polytechnica	PROPN
app01-4634	126	9	ctu	ctu	NOUN
app01-4634	126	10	proceedings	proceeding	NOUN
app01-4634	126	11	•	•	ADP
app01-4634	126	12	qc	qc	PROPN
app01-4634	126	13	simplified	simplify	VERB
app01-4634	126	14	approach	approach	NOUN
app01-4634	126	15	with	with	ADP
app01-4634	126	16	interpolation	interpolation	NOUN
app01-4634	126	17	and	and	CCONJ
app01-4634	126	18	local	local	ADJ
app01-4634	126	19	anisotropic	anisotropic	NOUN
app01-4634	126	20	homogenization	homogenization	NOUN
app01-4634	126	21	(	(	PUNCT
app01-4634	126	22	a3	a3	NOUN
app01-4634	126	23	)	)	PUNCT
app01-4634	126	24	.	.	PUNCT
app01-4634	127	1	the	the	DET
app01-4634	127	2	results	result	NOUN
app01-4634	127	3	obtained	obtain	VERB
app01-4634	127	4	for	for	ADP
app01-4634	127	5	both	both	DET
app01-4634	127	6	qc	qc	PROPN
app01-4634	127	7	simplified	simplify	VERB
app01-4634	127	8	approaches	approach	NOUN
app01-4634	127	9	are	be	AUX
app01-4634	127	10	almost	almost	ADV
app01-4634	127	11	equivalent	equivalent	ADJ
app01-4634	127	12	.	.	PUNCT
app01-4634	128	1	both	both	DET
app01-4634	128	2	approaches	approach	NOUN
app01-4634	128	3	predict	predict	VERB
app01-4634	128	4	the	the	DET
app01-4634	128	5	same	same	ADJ
app01-4634	128	6	broken	broken	ADJ
app01-4634	128	7	links	link	NOUN
app01-4634	128	8	in	in	ADP
app01-4634	128	9	the	the	DET
app01-4634	128	10	same	same	ADJ
app01-4634	128	11	order	order	NOUN
app01-4634	128	12	.	.	PUNCT
app01-4634	129	1	generally	generally	ADV
app01-4634	129	2	,	,	PUNCT
app01-4634	129	3	approaches	approach	NOUN
app01-4634	129	4	involving	involve	VERB
app01-4634	129	5	homogenization	homogenization	NOUN
app01-4634	129	6	tend	tend	VERB
app01-4634	129	7	to	to	ADP
app01-4634	129	8	a	a	DET
app01-4634	129	9	stiffer	stiff	ADJ
app01-4634	129	10	response	response	NOUN
app01-4634	129	11	in	in	ADP
app01-4634	129	12	comparison	comparison	NOUN
app01-4634	129	13	with	with	ADP
app01-4634	129	14	the	the	DET
app01-4634	129	15	interpolation	interpolation	NOUN
app01-4634	129	16	approach	approach	NOUN
app01-4634	129	17	.	.	PUNCT
app01-4634	130	1	in	in	ADP
app01-4634	130	2	this	this	DET
app01-4634	130	3	case	case	NOUN
app01-4634	130	4	,	,	PUNCT
app01-4634	130	5	the	the	DET
app01-4634	130	6	influence	influence	NOUN
app01-4634	130	7	of	of	ADP
app01-4634	130	8	homogenization	homogenization	NOUN
app01-4634	130	9	is	be	AUX
app01-4634	130	10	negligible	negligible	ADJ
app01-4634	130	11	and	and	CCONJ
app01-4634	130	12	the	the	DET
app01-4634	130	13	maximum	maximum	ADJ
app01-4634	130	14	difference	difference	NOUN
app01-4634	130	15	in	in	ADP
app01-4634	130	16	relative	relative	ADJ
app01-4634	130	17	stiffness	stiffness	NOUN
app01-4634	130	18	is	be	AUX
app01-4634	130	19	just	just	ADV
app01-4634	130	20	0.24	0.24	NUM
app01-4634	130	21	%	%	NOUN
app01-4634	130	22	.	.	PUNCT
app01-4634	131	1	in	in	ADP
app01-4634	131	2	comparison	comparison	NOUN
app01-4634	131	3	with	with	ADP
app01-4634	131	4	the	the	DET
app01-4634	131	5	exact	exact	ADJ
app01-4634	131	6	approach	approach	NOUN
app01-4634	131	7	,	,	PUNCT
app01-4634	131	8	the	the	DET
app01-4634	131	9	qc	qc	PROPN
app01-4634	131	10	approaches	approach	NOUN
app01-4634	131	11	give	give	VERB
app01-4634	131	12	a	a	DET
app01-4634	131	13	slightly	slightly	ADV
app01-4634	131	14	stiffer	stiff	ADJ
app01-4634	131	15	response	response	NOUN
app01-4634	131	16	.	.	PUNCT
app01-4634	132	1	the	the	DET
app01-4634	132	2	relative	relative	ADJ
app01-4634	132	3	stiffness	stiffness	NOUN
app01-4634	132	4	error	error	NOUN
app01-4634	132	5	of	of	ADP
app01-4634	132	6	the	the	DET
app01-4634	132	7	initial	initial	ADJ
app01-4634	132	8	elastic	elastic	ADJ
app01-4634	132	9	branch	branch	NOUN
app01-4634	132	10	is	be	AUX
app01-4634	132	11	11.8	11.8	NUM
app01-4634	132	12	%	%	NOUN
app01-4634	132	13	.	.	PUNCT
app01-4634	133	1	the	the	DET
app01-4634	133	2	maximum	maximum	ADJ
app01-4634	133	3	relative	relative	ADJ
app01-4634	133	4	stiffness	stiffness	NOUN
app01-4634	133	5	error	error	NOUN
app01-4634	133	6	is	be	AUX
app01-4634	133	7	below	below	ADP
app01-4634	133	8	18	18	NUM
app01-4634	133	9	%	%	NOUN
app01-4634	133	10	during	during	ADP
app01-4634	133	11	almost	almost	ADV
app01-4634	133	12	the	the	DET
app01-4634	133	13	whole	whole	ADJ
app01-4634	133	14	simulation	simulation	NOUN
app01-4634	133	15	.	.	PUNCT
app01-4634	134	1	only	only	ADV
app01-4634	134	2	in	in	ADP
app01-4634	134	3	the	the	DET
app01-4634	134	4	last	last	ADJ
app01-4634	134	5	six	six	NUM
app01-4634	134	6	steps	step	NOUN
app01-4634	134	7	(	(	PUNCT
app01-4634	134	8	when	when	SCONJ
app01-4634	134	9	the	the	DET
app01-4634	134	10	specimen	speciman	NOUN
app01-4634	134	11	is	be	AUX
app01-4634	134	12	almost	almost	ADV
app01-4634	134	13	completely	completely	ADV
app01-4634	134	14	split	split	ADJ
app01-4634	134	15	)	)	PUNCT
app01-4634	134	16	the	the	DET
app01-4634	134	17	error	error	NOUN
app01-4634	134	18	increases	increase	VERB
app01-4634	134	19	up	up	ADP
app01-4634	134	20	to	to	PART
app01-4634	134	21	25	25	NUM
app01-4634	134	22	%	%	NOUN
app01-4634	134	23	.	.	PUNCT
app01-4634	135	1	the	the	DET
app01-4634	135	2	prediction	prediction	NOUN
app01-4634	135	3	of	of	ADP
app01-4634	135	4	cracked	crack	VERB
app01-4634	135	5	links	link	NOUN
app01-4634	135	6	is	be	AUX
app01-4634	135	7	not	not	PART
app01-4634	135	8	perfectly	perfectly	ADV
app01-4634	135	9	exact	exact	ADJ
app01-4634	135	10	,	,	PUNCT
app01-4634	135	11	but	but	CCONJ
app01-4634	135	12	more	more	ADJ
app01-4634	135	13	than	than	ADP
app01-4634	135	14	90	90	NUM
app01-4634	135	15	%	%	NOUN
app01-4634	135	16	of	of	ADP
app01-4634	135	17	links	link	NOUN
app01-4634	135	18	are	be	AUX
app01-4634	135	19	broken	break	VERB
app01-4634	135	20	correctly	correctly	ADV
app01-4634	135	21	and	and	CCONJ
app01-4634	135	22	the	the	DET
app01-4634	135	23	difference	difference	NOUN
app01-4634	135	24	in	in	ADP
app01-4634	135	25	the	the	DET
app01-4634	135	26	final	final	ADJ
app01-4634	135	27	shape	shape	NOUN
app01-4634	135	28	of	of	ADP
app01-4634	135	29	the	the	DET
app01-4634	135	30	macroscopic	macroscopic	ADJ
app01-4634	135	31	crack	crack	NOUN
app01-4634	135	32	is	be	AUX
app01-4634	135	33	almost	almost	ADV
app01-4634	135	34	negligible	negligible	ADJ
app01-4634	135	35	;	;	PUNCT
app01-4634	135	36	see	see	VERB
app01-4634	135	37	figure	figure	NOUN
app01-4634	135	38	2	2	NUM
app01-4634	135	39	.	.	PUNCT
app01-4634	136	1	the	the	DET
app01-4634	136	2	simplified	simplified	ADJ
app01-4634	136	3	results	result	NOUN
app01-4634	136	4	are	be	AUX
app01-4634	136	5	also	also	ADV
app01-4634	136	6	very	very	ADV
app01-4634	136	7	accurate	accurate	ADJ
app01-4634	136	8	in	in	ADP
app01-4634	136	9	terms	term	NOUN
app01-4634	136	10	of	of	ADP
app01-4634	136	11	the	the	DET
app01-4634	136	12	force	force	NOUN
app01-4634	136	13	-	-	PUNCT
app01-4634	136	14	displacement	displacement	ADJ
app01-4634	136	15	diagram	diagram	NOUN
app01-4634	136	16	.	.	PUNCT
app01-4634	137	1	despite	despite	SCONJ
app01-4634	137	2	a	a	DET
app01-4634	137	3	stiffer	stiffer	ADJ
app01-4634	137	4	elastic	elastic	ADJ
app01-4634	137	5	response	response	NOUN
app01-4634	137	6	,	,	PUNCT
app01-4634	137	7	the	the	DET
app01-4634	137	8	trend	trend	NOUN
app01-4634	137	9	of	of	ADP
app01-4634	137	10	the	the	DET
app01-4634	137	11	unloading	unloading	NOUN
app01-4634	137	12	branch	branch	NOUN
app01-4634	137	13	is	be	AUX
app01-4634	137	14	very	very	ADV
app01-4634	137	15	well	well	ADV
app01-4634	137	16	captured	capture	VERB
app01-4634	137	17	and	and	CCONJ
app01-4634	137	18	the	the	DET
app01-4634	137	19	shape	shape	NOUN
app01-4634	137	20	of	of	ADP
app01-4634	137	21	the	the	DET
app01-4634	137	22	qc	qc	PROPN
app01-4634	137	23	simplified	simplify	VERB
app01-4634	137	24	force	force	NOUN
app01-4634	137	25	-	-	PUNCT
app01-4634	137	26	displacement	displacement	ADJ
app01-4634	137	27	diagram	diagram	NOUN
app01-4634	137	28	resembles	resemble	VERB
app01-4634	137	29	the	the	DET
app01-4634	137	30	exact	exact	ADJ
app01-4634	137	31	solution	solution	NOUN
app01-4634	137	32	;	;	PUNCT
app01-4634	137	33	see	see	VERB
app01-4634	137	34	figure	figure	NOUN
app01-4634	137	35	3	3	NUM
app01-4634	137	36	.	.	PUNCT
app01-4634	137	37	times	time	NOUN
app01-4634	137	38	consumed	consume	VERB
app01-4634	137	39	by	by	ADP
app01-4634	137	40	individual	individual	ADJ
app01-4634	137	41	parts	part	NOUN
app01-4634	137	42	of	of	ADP
app01-4634	137	43	the	the	DET
app01-4634	137	44	simulation	simulation	NOUN
app01-4634	137	45	for	for	ADP
app01-4634	137	46	various	various	ADJ
app01-4634	137	47	approaches	approach	NOUN
app01-4634	137	48	are	be	AUX
app01-4634	137	49	listed	list	VERB
app01-4634	137	50	in	in	ADP
app01-4634	137	51	table	table	NOUN
app01-4634	137	52	2	2	NUM
app01-4634	137	53	.	.	PUNCT
app01-4634	138	1	the	the	DET
app01-4634	138	2	initialization	initialization	NOUN
app01-4634	138	3	procedures	procedure	NOUN
app01-4634	138	4	are	be	AUX
app01-4634	138	5	realized	realize	VERB
app01-4634	138	6	just	just	ADV
app01-4634	138	7	once	once	ADV
app01-4634	138	8	at	at	ADP
app01-4634	138	9	the	the	DET
app01-4634	138	10	beginning	beginning	NOUN
app01-4634	138	11	of	of	ADP
app01-4634	138	12	the	the	DET
app01-4634	138	13	simulation	simulation	NOUN
app01-4634	138	14	.	.	PUNCT
app01-4634	139	1	on	on	ADP
app01-4634	139	2	the	the	DET
app01-4634	139	3	other	other	ADJ
app01-4634	139	4	hand	hand	NOUN
app01-4634	139	5	,	,	PUNCT
app01-4634	139	6	the	the	DET
app01-4634	139	7	repeated	repeat	VERB
app01-4634	139	8	procedures	procedure	NOUN
app01-4634	139	9	are	be	AUX
app01-4634	139	10	realized	realize	VERB
app01-4634	139	11	in	in	ADP
app01-4634	139	12	each	each	DET
app01-4634	139	13	simulation	simulation	NOUN
app01-4634	139	14	step	step	NOUN
app01-4634	139	15	.	.	PUNCT
app01-4634	140	1	for	for	ADP
app01-4634	140	2	qc	qc	PROPN
app01-4634	140	3	approach	approach	PROPN
app01-4634	140	4	a1	a1	NOUN
app01-4634	140	5	,	,	PUNCT
app01-4634	140	6	with	with	ADP
app01-4634	140	7	interpolation	interpolation	NOUN
app01-4634	140	8	only	only	ADV
app01-4634	140	9	,	,	PUNCT
app01-4634	140	10	the	the	DET
app01-4634	140	11	realization	realization	NOUN
app01-4634	140	12	of	of	ADP
app01-4634	140	13	qc	qc	PROPN
app01-4634	140	14	simplification	simplification	NOUN
app01-4634	140	15	is	be	AUX
app01-4634	140	16	relatively	relatively	ADV
app01-4634	140	17	fast	fast	ADJ
app01-4634	140	18	,	,	PUNCT
app01-4634	140	19	but	but	CCONJ
app01-4634	140	20	the	the	DET
app01-4634	140	21	initial	initial	ADJ
app01-4634	140	22	assemblage	assemblage	NOUN
app01-4634	140	23	of	of	ADP
app01-4634	140	24	the	the	DET
app01-4634	140	25	stiffness	stiffness	ADJ
app01-4634	140	26	matrix	matrix	NOUN
app01-4634	140	27	and	and	CCONJ
app01-4634	140	28	load	load	NOUN
app01-4634	140	29	vector	vector	NOUN
app01-4634	140	30	is	be	AUX
app01-4634	140	31	extremely	extremely	ADV
app01-4634	140	32	slow	slow	ADJ
app01-4634	140	33	because	because	SCONJ
app01-4634	140	34	of	of	ADP
app01-4634	140	35	a	a	DET
app01-4634	140	36	huge	huge	ADJ
app01-4634	140	37	number	number	NOUN
app01-4634	140	38	of	of	ADP
app01-4634	140	39	hanging	hang	VERB
app01-4634	140	40	nodes	node	NOUN
app01-4634	140	41	with	with	ADP
app01-4634	140	42	interpolated	interpolate	VERB
app01-4634	140	43	dofs	dof	NOUN
app01-4634	140	44	.	.	PUNCT
app01-4634	141	1	by	by	ADP
app01-4634	141	2	contrast	contrast	NOUN
app01-4634	141	3	,	,	PUNCT
app01-4634	141	4	qc	qc	PROPN
app01-4634	141	5	approach	approach	NOUN
app01-4634	141	6	a3	a3	NOUN
app01-4634	141	7	,	,	PUNCT
app01-4634	141	8	involving	involve	VERB
app01-4634	141	9	local	local	ADJ
app01-4634	141	10	homogenization	homogenization	NOUN
app01-4634	141	11	,	,	PUNCT
app01-4634	141	12	needs	need	VERB
app01-4634	141	13	a	a	DET
app01-4634	141	14	relatively	relatively	ADV
app01-4634	141	15	long	long	ADJ
app01-4634	141	16	time	time	NOUN
app01-4634	141	17	to	to	PART
app01-4634	141	18	realize	realize	VERB
app01-4634	141	19	qc	qc	NOUN
app01-4634	141	20	simplification	simplification	NOUN
app01-4634	141	21	including	include	VERB
app01-4634	141	22	local	local	ADJ
app01-4634	141	23	effective	effective	ADJ
app01-4634	141	24	stiffness	stiffness	ADJ
app01-4634	141	25	tensors	tensor	NOUN
app01-4634	141	26	calculation	calculation	NOUN
app01-4634	141	27	.	.	PUNCT
app01-4634	142	1	however	however	ADV
app01-4634	142	2	,	,	PUNCT
app01-4634	142	3	the	the	DET
app01-4634	142	4	initial	initial	ADJ
app01-4634	142	5	assemblage	assemblage	NOUN
app01-4634	142	6	is	be	AUX
app01-4634	142	7	very	very	ADV
app01-4634	142	8	fast	fast	ADJ
app01-4634	142	9	because	because	SCONJ
app01-4634	142	10	the	the	DET
app01-4634	142	11	number	number	NOUN
app01-4634	142	12	of	of	ADP
app01-4634	142	13	links	link	NOUN
app01-4634	142	14	and	and	CCONJ
app01-4634	142	15	hanging	hang	VERB
app01-4634	142	16	nodes	node	NOUN
app01-4634	142	17	is	be	AUX
app01-4634	142	18	significantly	significantly	ADV
app01-4634	142	19	reduced	reduce	VERB
app01-4634	142	20	.	.	PUNCT
app01-4634	143	1	for	for	ADP
app01-4634	143	2	both	both	DET
app01-4634	143	3	qc	qc	PROPN
app01-4634	143	4	approaches	approach	NOUN
app01-4634	143	5	,	,	PUNCT
app01-4634	143	6	a	a	DET
app01-4634	143	7	long	long	ADJ
app01-4634	143	8	extra	extra	ADJ
app01-4634	143	9	time	time	NOUN
app01-4634	143	10	is	be	AUX
app01-4634	143	11	needed	need	VERB
app01-4634	143	12	only	only	ADV
app01-4634	143	13	at	at	ADP
app01-4634	143	14	the	the	DET
app01-4634	143	15	beginning	beginning	NOUN
app01-4634	143	16	of	of	ADP
app01-4634	143	17	the	the	DET
app01-4634	143	18	simulation	simulation	NOUN
app01-4634	143	19	.	.	PUNCT
app01-4634	144	1	this	this	DET
app01-4634	144	2	initial	initial	ADJ
app01-4634	144	3	time	time	NOUN
app01-4634	144	4	becomes	become	VERB
app01-4634	144	5	negligible	negligible	ADJ
app01-4634	144	6	in	in	ADP
app01-4634	144	7	simulations	simulation	NOUN
app01-4634	144	8	with	with	ADP
app01-4634	144	9	a	a	DET
app01-4634	144	10	large	large	ADJ
app01-4634	144	11	number	number	NOUN
app01-4634	144	12	of	of	ADP
app01-4634	144	13	repeated	repeat	VERB
app01-4634	144	14	steps	step	NOUN
app01-4634	144	15	.	.	PUNCT
app01-4634	145	1	the	the	DET
app01-4634	145	2	most	most	ADV
app01-4634	145	3	important	important	ADJ
app01-4634	145	4	fact	fact	NOUN
app01-4634	145	5	is	be	AUX
app01-4634	145	6	that	that	SCONJ
app01-4634	145	7	each	each	DET
app01-4634	145	8	simulation	simulation	NOUN
app01-4634	145	9	step	step	NOUN
app01-4634	145	10	of	of	ADP
app01-4634	145	11	the	the	DET
app01-4634	145	12	simplified	simplified	ADJ
app01-4634	145	13	approach	approach	NOUN
app01-4634	145	14	is	be	AUX
app01-4634	145	15	twice	twice	ADV
app01-4634	145	16	as	as	ADV
app01-4634	145	17	fast	fast	ADJ
app01-4634	145	18	for	for	ADP
app01-4634	145	19	a1	a1	NOUN
app01-4634	145	20	and	and	CCONJ
app01-4634	145	21	almost	almost	ADV
app01-4634	145	22	19	19	NUM
app01-4634	145	23	times	time	NOUN
app01-4634	145	24	faster	fast	ADV
app01-4634	145	25	for	for	ADP
app01-4634	145	26	a3	a3	NOUN
app01-4634	145	27	in	in	ADP
app01-4634	145	28	comparison	comparison	NOUN
app01-4634	145	29	with	with	ADP
app01-4634	145	30	the	the	DET
app01-4634	145	31	full	full	ADJ
app01-4634	145	32	particle	particle	NOUN
app01-4634	145	33	model	model	NOUN
app01-4634	145	34	.	.	PUNCT
app01-4634	146	1	6	6	NUM
app01-4634	146	2	.	.	PUNCT
app01-4634	146	3	conclusions	conclusion	NOUN
app01-4634	146	4	this	this	DET
app01-4634	146	5	paper	paper	NOUN
app01-4634	146	6	described	describe	VERB
app01-4634	146	7	a	a	DET
app01-4634	146	8	qc	qc	PROPN
app01-4634	146	9	adaptive	adaptive	ADJ
app01-4634	146	10	algorithm	algorithm	NOUN
app01-4634	146	11	with	with	ADP
app01-4634	146	12	automatic	automatic	ADJ
app01-4634	146	13	changes	change	NOUN
app01-4634	146	14	of	of	ADP
app01-4634	146	15	area	area	NOUN
app01-4634	146	16	of	of	ADP
app01-4634	146	17	high	high	ADJ
app01-4634	146	18	interest	interest	NOUN
app01-4634	146	19	designed	design	VERB
app01-4634	146	20	for	for	ADP
app01-4634	146	21	simulation	simulation	NOUN
app01-4634	146	22	of	of	ADP
app01-4634	146	23	crack	crack	VERB
app01-4634	146	24	propagation	propagation	NOUN
app01-4634	146	25	in	in	ADP
app01-4634	146	26	disordered	disordered	ADJ
app01-4634	146	27	lattices	lattice	NOUN
app01-4634	146	28	.	.	PUNCT
app01-4634	147	1	the	the	DET
app01-4634	147	2	presented	present	VERB
app01-4634	147	3	algorithm	algorithm	NOUN
app01-4634	147	4	allows	allow	VERB
app01-4634	147	5	not	not	PART
app01-4634	147	6	only	only	ADV
app01-4634	147	7	propagation	propagation	NOUN
app01-4634	147	8	of	of	ADP
app01-4634	147	9	an	an	DET
app01-4634	147	10	existing	exist	VERB
app01-4634	147	11	crack	crack	NOUN
app01-4634	147	12	but	but	CCONJ
app01-4634	147	13	also	also	ADV
app01-4634	147	14	initialization	initialization	NOUN
app01-4634	147	15	of	of	ADP
app01-4634	147	16	new	new	ADJ
app01-4634	147	17	cracks	crack	NOUN
app01-4634	147	18	.	.	PUNCT
app01-4634	148	1	a0	a0	NOUN
app01-4634	148	2	a1	a1	PROPN
app01-4634	148	3	a3	a3	PROPN
app01-4634	148	4	times	time	NOUN
app01-4634	148	5	of	of	ADP
app01-4634	148	6	initial	initial	ADJ
app01-4634	148	7	procedures	procedure	NOUN
app01-4634	148	8	[	[	X
app01-4634	148	9	s	s	X
app01-4634	148	10	]	]	X
app01-4634	148	11	:	:	PUNCT
app01-4634	148	12	qc	qc	PROPN
app01-4634	148	13	simplification	simplification	NOUN
app01-4634	148	14	0.83	0.83	NUM
app01-4634	148	15	8.08	8.08	NUM
app01-4634	148	16	assemble	assemble	VERB
app01-4634	148	17	stiffness	stiffness	NOUN
app01-4634	148	18	matrix	matrix	NOUN
app01-4634	148	19	1.09	1.09	NUM
app01-4634	148	20	5.81	5.81	NUM
app01-4634	148	21	0.15	0.15	NUM
app01-4634	148	22	assemble	assemble	NOUN
app01-4634	148	23	load	load	NOUN
app01-4634	148	24	vector	vector	NOUN
app01-4634	148	25	1.92	1.92	NUM
app01-4634	148	26	6.36	6.36	NUM
app01-4634	148	27	0.21	0.21	NUM
app01-4634	148	28	times	time	NOUN
app01-4634	148	29	of	of	ADP
app01-4634	148	30	repeated	repeat	VERB
app01-4634	148	31	procedures	procedure	NOUN
app01-4634	149	1	[	[	X
app01-4634	149	2	s	s	X
app01-4634	149	3	]	]	X
app01-4634	149	4	:	:	PUNCT
app01-4634	149	5	solve	solve	VERB
app01-4634	149	6	one	one	NUM
app01-4634	149	7	step	step	NOUN
app01-4634	149	8	3.99	3.99	NUM
app01-4634	149	9	0.25	0.25	NUM
app01-4634	149	10	0.15	0.15	NUM
app01-4634	149	11	update	update	NOUN
app01-4634	149	12	one	one	NUM
app01-4634	149	13	step	step	NOUN
app01-4634	149	14	1.08	1.08	NUM
app01-4634	149	15	2.31	2.31	NUM
app01-4634	149	16	0.12	0.12	NUM
app01-4634	149	17	table	table	NOUN
app01-4634	149	18	2	2	NUM
app01-4634	149	19	.	.	NOUN
app01-4634	149	20	time	time	NOUN
app01-4634	149	21	consumed	consume	VERB
app01-4634	149	22	by	by	ADP
app01-4634	149	23	individual	individual	ADJ
app01-4634	149	24	parts	part	NOUN
app01-4634	149	25	of	of	ADP
app01-4634	149	26	simulation	simulation	NOUN
app01-4634	149	27	for	for	ADP
app01-4634	149	28	various	various	ADJ
app01-4634	149	29	approaches	approach	NOUN
app01-4634	149	30	.	.	PUNCT
app01-4634	150	1	the	the	DET
app01-4634	150	2	presented	present	VERB
app01-4634	150	3	example	example	NOUN
app01-4634	150	4	has	have	AUX
app01-4634	150	5	shown	show	VERB
app01-4634	150	6	that	that	SCONJ
app01-4634	150	7	qc	qc	PROPN
app01-4634	150	8	based	base	VERB
app01-4634	150	9	approaches	approach	NOUN
app01-4634	150	10	in	in	ADP
app01-4634	150	11	combination	combination	NOUN
app01-4634	150	12	with	with	ADP
app01-4634	150	13	an	an	DET
app01-4634	150	14	adaptive	adaptive	ADJ
app01-4634	150	15	algorithm	algorithm	NOUN
app01-4634	150	16	are	be	AUX
app01-4634	150	17	able	able	ADJ
app01-4634	150	18	to	to	PART
app01-4634	150	19	capture	capture	VERB
app01-4634	150	20	the	the	DET
app01-4634	150	21	exact	exact	ADJ
app01-4634	150	22	macroscopic	macroscopic	ADJ
app01-4634	150	23	crack	crack	NOUN
app01-4634	150	24	trajectory	trajectory	NOUN
app01-4634	150	25	even	even	ADV
app01-4634	150	26	if	if	SCONJ
app01-4634	150	27	the	the	DET
app01-4634	150	28	area	area	NOUN
app01-4634	150	29	of	of	ADP
app01-4634	150	30	crack	crack	NOUN
app01-4634	150	31	propagation	propagation	NOUN
app01-4634	150	32	is	be	AUX
app01-4634	150	33	not	not	PART
app01-4634	150	34	known	know	VERB
app01-4634	150	35	at	at	ADP
app01-4634	150	36	the	the	DET
app01-4634	150	37	beginning	beginning	NOUN
app01-4634	150	38	of	of	ADP
app01-4634	150	39	simulation	simulation	NOUN
app01-4634	150	40	.	.	PUNCT
app01-4634	151	1	the	the	DET
app01-4634	151	2	force	force	NOUN
app01-4634	151	3	-	-	PUNCT
app01-4634	151	4	displacement	displacement	ADJ
app01-4634	151	5	diagram	diagram	NOUN
app01-4634	151	6	can	can	AUX
app01-4634	151	7	be	be	AUX
app01-4634	151	8	predicted	predict	VERB
app01-4634	151	9	with	with	ADP
app01-4634	151	10	high	high	ADJ
app01-4634	151	11	accuracy	accuracy	NOUN
app01-4634	151	12	in	in	ADP
app01-4634	151	13	spite	spite	NOUN
app01-4634	151	14	of	of	ADP
app01-4634	151	15	the	the	DET
app01-4634	151	16	fact	fact	NOUN
app01-4634	151	17	that	that	SCONJ
app01-4634	151	18	the	the	DET
app01-4634	151	19	initial	initial	ADJ
app01-4634	151	20	elastic	elastic	ADJ
app01-4634	151	21	response	response	NOUN
app01-4634	151	22	of	of	ADP
app01-4634	151	23	simplified	simplified	ADJ
app01-4634	151	24	models	model	NOUN
app01-4634	151	25	is	be	AUX
app01-4634	151	26	slightly	slightly	ADV
app01-4634	151	27	stiffer	stiff	ADJ
app01-4634	151	28	.	.	PUNCT
app01-4634	152	1	the	the	DET
app01-4634	152	2	adaptive	adaptive	ADJ
app01-4634	152	3	extension	extension	NOUN
app01-4634	152	4	of	of	ADP
app01-4634	152	5	the	the	DET
app01-4634	152	6	area	area	NOUN
app01-4634	152	7	of	of	ADP
app01-4634	152	8	high	high	ADJ
app01-4634	152	9	interest	interest	NOUN
app01-4634	152	10	has	have	AUX
app01-4634	152	11	turned	turn	VERB
app01-4634	152	12	out	out	ADP
app01-4634	152	13	to	to	PART
app01-4634	152	14	be	be	AUX
app01-4634	152	15	sufficient	sufficient	ADJ
app01-4634	152	16	to	to	PART
app01-4634	152	17	obtain	obtain	VERB
app01-4634	152	18	accurate	accurate	ADJ
app01-4634	152	19	results	result	NOUN
app01-4634	152	20	and	and	CCONJ
app01-4634	152	21	a	a	DET
app01-4634	152	22	new	new	ADJ
app01-4634	152	23	triangulation	triangulation	NOUN
app01-4634	152	24	of	of	ADP
app01-4634	152	25	interpolation	interpolation	NOUN
app01-4634	152	26	mesh	mesh	NOUN
app01-4634	152	27	is	be	AUX
app01-4634	152	28	not	not	PART
app01-4634	152	29	necessary	necessary	ADJ
app01-4634	152	30	.	.	PUNCT
app01-4634	153	1	the	the	DET
app01-4634	153	2	application	application	NOUN
app01-4634	153	3	of	of	ADP
app01-4634	153	4	qc	qc	PROPN
app01-4634	153	5	approaches	approach	NOUN
app01-4634	153	6	provides	provide	VERB
app01-4634	153	7	a	a	DET
app01-4634	153	8	significant	significant	ADJ
app01-4634	153	9	reduction	reduction	NOUN
app01-4634	153	10	of	of	ADP
app01-4634	153	11	the	the	DET
app01-4634	153	12	number	number	NOUN
app01-4634	153	13	of	of	ADP
app01-4634	153	14	unknown	unknown	ADJ
app01-4634	153	15	dofs	dof	NOUN
app01-4634	153	16	and	and	CCONJ
app01-4634	153	17	of	of	ADP
app01-4634	153	18	links	link	NOUN
app01-4634	153	19	used	use	VERB
app01-4634	153	20	in	in	ADP
app01-4634	153	21	numerical	numerical	ADJ
app01-4634	153	22	models	model	NOUN
app01-4634	153	23	.	.	PUNCT
app01-4634	154	1	this	this	DET
app01-4634	154	2	reduction	reduction	NOUN
app01-4634	154	3	leads	lead	VERB
app01-4634	154	4	to	to	ADP
app01-4634	154	5	a	a	DET
app01-4634	154	6	significant	significant	ADJ
app01-4634	154	7	speed	speed	NOUN
app01-4634	154	8	-	-	PUNCT
app01-4634	154	9	up	up	NOUN
app01-4634	154	10	of	of	ADP
app01-4634	154	11	one	one	NUM
app01-4634	154	12	simulation	simulation	NOUN
app01-4634	154	13	step	step	NOUN
app01-4634	154	14	,	,	PUNCT
app01-4634	154	15	at	at	ADP
app01-4634	154	16	the	the	DET
app01-4634	154	17	price	price	NOUN
app01-4634	154	18	of	of	ADP
app01-4634	154	19	an	an	DET
app01-4634	154	20	increased	increase	VERB
app01-4634	154	21	cost	cost	NOUN
app01-4634	154	22	of	of	ADP
app01-4634	154	23	the	the	DET
app01-4634	154	24	initial	initial	ADJ
app01-4634	154	25	preparation	preparation	NOUN
app01-4634	154	26	(	(	PUNCT
app01-4634	154	27	model	model	NOUN
app01-4634	154	28	simplification	simplification	NOUN
app01-4634	154	29	)	)	PUNCT
app01-4634	154	30	before	before	ADP
app01-4634	154	31	the	the	DET
app01-4634	154	32	first	first	ADJ
app01-4634	154	33	step	step	NOUN
app01-4634	154	34	.	.	PUNCT
app01-4634	155	1	if	if	SCONJ
app01-4634	155	2	both	both	CCONJ
app01-4634	155	3	interpolation	interpolation	NOUN
app01-4634	155	4	and	and	CCONJ
app01-4634	155	5	homogenization	homogenization	NOUN
app01-4634	155	6	are	be	AUX
app01-4634	155	7	applied	apply	VERB
app01-4634	155	8	,	,	PUNCT
app01-4634	155	9	the	the	DET
app01-4634	155	10	speed	speed	NOUN
app01-4634	155	11	-	-	PUNCT
app01-4634	155	12	up	up	ADP
app01-4634	155	13	factor	factor	NOUN
app01-4634	155	14	of	of	ADP
app01-4634	155	15	one	one	NUM
app01-4634	155	16	step	step	NOUN
app01-4634	155	17	is	be	AUX
app01-4634	155	18	18.8	18.8	NUM
app01-4634	155	19	and	and	CCONJ
app01-4634	155	20	the	the	DET
app01-4634	155	21	whole	whole	ADJ
app01-4634	155	22	simulation	simulation	NOUN
app01-4634	155	23	of	of	ADP
app01-4634	155	24	crack	crack	NOUN
app01-4634	155	25	propagation	propagation	NOUN
app01-4634	155	26	(	(	PUNCT
app01-4634	155	27	including	include	VERB
app01-4634	155	28	240	240	NUM
app01-4634	155	29	steps	step	NOUN
app01-4634	155	30	)	)	PUNCT
app01-4634	155	31	gets	get	VERB
app01-4634	155	32	more	more	ADJ
app01-4634	155	33	than	than	ADP
app01-4634	155	34	15	15	NUM
app01-4634	155	35	times	time	NOUN
app01-4634	155	36	faster	fast	ADJ
app01-4634	155	37	.	.	PUNCT
app01-4634	156	1	acknowledgements	acknowledgement	NOUN
app01-4634	156	2	financial	financial	ADJ
app01-4634	156	3	support	support	NOUN
app01-4634	156	4	received	receive	VERB
app01-4634	156	5	from	from	ADP
app01-4634	156	6	the	the	DET
app01-4634	156	7	czech	czech	PROPN
app01-4634	156	8	technical	technical	PROPN
app01-4634	156	9	university	university	PROPN
app01-4634	156	10	(	(	PUNCT
app01-4634	156	11	sgs	sgs	PROPN
app01-4634	156	12	project	project	NOUN
app01-4634	156	13	17/043	17/043	NUM
app01-4634	156	14	/	/	SYM
app01-4634	156	15	ohk1/1t/11	ohk1/1t/11	PROPN
app01-4634	156	16	)	)	PUNCT
app01-4634	156	17	and	and	CCONJ
app01-4634	156	18	the	the	DET
app01-4634	156	19	czech	czech	PROPN
app01-4634	156	20	science	science	PROPN
app01-4634	156	21	foundation	foundation	PROPN
app01-4634	156	22	(	(	PUNCT
app01-4634	156	23	gačr	gačr	NOUN
app01-4634	156	24	projects	project	VERB
app01-4634	156	25	14	14	NUM
app01-4634	156	26	-	-	PUNCT
app01-4634	156	27	00420s	00420	NOUN
app01-4634	156	28	and	and	CCONJ
app01-4634	156	29	1704150j	1704150j	NUM
app01-4634	156	30	)	)	PUNCT
app01-4634	156	31	is	be	AUX
app01-4634	156	32	gratefully	gratefully	ADV
app01-4634	156	33	acknowledged	acknowledge	VERB
app01-4634	156	34	.	.	PUNCT
app01-4634	157	1	references	reference	NOUN
app01-4634	157	2	[	[	X
app01-4634	157	3	1	1	X
app01-4634	157	4	]	]	PUNCT
app01-4634	157	5	e.	e.	PROPN
app01-4634	157	6	b.	b.	PROPN
app01-4634	157	7	tadmor	tadmor	PROPN
app01-4634	157	8	,	,	PUNCT
app01-4634	157	9	m.	m.	NOUN
app01-4634	157	10	ortiz	ortiz	PROPN
app01-4634	157	11	,	,	PUNCT
app01-4634	157	12	r.	r.	PROPN
app01-4634	157	13	phillips	phillips	PROPN
app01-4634	157	14	.	.	PUNCT
app01-4634	158	1	quasicontinuum	quasicontinuum	PROPN
app01-4634	158	2	analysis	analysis	NOUN
app01-4634	158	3	of	of	ADP
app01-4634	158	4	defects	defect	NOUN
app01-4634	158	5	in	in	ADP
app01-4634	158	6	solids	solid	NOUN
app01-4634	158	7	.	.	PUNCT
app01-4634	159	1	philosophical	philosophical	ADJ
app01-4634	159	2	magazine	magazine	NOUN
app01-4634	159	3	a	a	DET
app01-4634	159	4	73(6):1529–1563	73(6):1529–1563	NUM
app01-4634	159	5	,	,	PUNCT
app01-4634	159	6	1996	1996	NUM
app01-4634	159	7	.	.	PUNCT
app01-4634	160	1	[	[	X
app01-4634	160	2	2	2	NUM
app01-4634	160	3	]	]	X
app01-4634	160	4	d.	d.	PROPN
app01-4634	160	5	m.	m.	PROPN
app01-4634	160	6	kochmann	kochmann	PROPN
app01-4634	160	7	,	,	PUNCT
app01-4634	160	8	j.	j.	PROPN
app01-4634	160	9	s.	s.	PROPN
app01-4634	160	10	amelang	amelang	PROPN
app01-4634	160	11	.	.	PUNCT
app01-4634	161	1	the	the	DET
app01-4634	161	2	quasicontinuum	quasicontinuum	PROPN
app01-4634	161	3	method	method	NOUN
app01-4634	161	4	:	:	PUNCT
app01-4634	161	5	theory	theory	NOUN
app01-4634	161	6	and	and	CCONJ
app01-4634	161	7	applications	application	NOUN
app01-4634	161	8	.	.	PUNCT
app01-4634	162	1	in	in	ADP
app01-4634	162	2	multiscale	multiscale	ADJ
app01-4634	162	3	materials	material	NOUN
app01-4634	162	4	modeling	modeling	NOUN
app01-4634	162	5	for	for	ADP
app01-4634	162	6	nanomechanics	nanomechanic	NOUN
app01-4634	162	7	,	,	PUNCT
app01-4634	162	8	chap	chap	NOUN
app01-4634	162	9	.	.	PUNCT
app01-4634	163	1	the	the	DET
app01-4634	163	2	quasicontinuum	quasicontinuum	PROPN
app01-4634	163	3	method	method	NOUN
app01-4634	163	4	:	:	PUNCT
app01-4634	163	5	theory	theory	NOUN
app01-4634	163	6	and	and	CCONJ
app01-4634	163	7	applications	application	NOUN
app01-4634	163	8	,	,	PUNCT
app01-4634	163	9	pp	pp	ADJ
app01-4634	163	10	.	.	PUNCT
app01-4634	164	1	159–193	159–193	NUM
app01-4634	164	2	.	.	PUNCT
app01-4634	164	3	springer	springer	NOUN
app01-4634	164	4	,	,	PUNCT
app01-4634	164	5	2016	2016	NUM
app01-4634	164	6	.	.	PUNCT
app01-4634	165	1	[	[	X
app01-4634	165	2	3	3	X
app01-4634	165	3	]	]	PUNCT
app01-4634	165	4	k.	k.	PROPN
app01-4634	165	5	mikeš	mikeš	PROPN
app01-4634	165	6	,	,	PUNCT
app01-4634	165	7	m.	m.	NOUN
app01-4634	165	8	jirásek	jirásek	NOUN
app01-4634	165	9	.	.	PUNCT
app01-4634	166	1	quasicontinuum	quasicontinuum	PROPN
app01-4634	166	2	method	method	PROPN
app01-4634	166	3	extended	extend	VERB
app01-4634	166	4	to	to	ADP
app01-4634	166	5	irregular	irregular	ADJ
app01-4634	166	6	lattices	lattice	NOUN
app01-4634	166	7	.	.	PUNCT
app01-4634	167	1	computers	computer	NOUN
app01-4634	167	2	and	and	CCONJ
app01-4634	167	3	structures	structure	NOUN
app01-4634	167	4	192:50–70	192:50–70	NUM
app01-4634	167	5	,	,	PUNCT
app01-4634	167	6	2017	2017	NUM
app01-4634	167	7	.	.	PUNCT
app01-4634	168	1	[	[	X
app01-4634	168	2	4	4	X
app01-4634	168	3	]	]	PUNCT
app01-4634	168	4	r.	r.	PROPN
app01-4634	168	5	e.	e.	PROPN
app01-4634	168	6	miller	miller	PROPN
app01-4634	168	7	,	,	PUNCT
app01-4634	168	8	e.	e.	PROPN
app01-4634	168	9	b.	b.	PROPN
app01-4634	168	10	tadmor	tadmor	PROPN
app01-4634	168	11	.	.	PUNCT
app01-4634	169	1	a	a	DET
app01-4634	169	2	unified	unified	ADJ
app01-4634	169	3	framework	framework	NOUN
app01-4634	169	4	and	and	CCONJ
app01-4634	169	5	performance	performance	NOUN
app01-4634	169	6	benchmark	benchmark	NOUN
app01-4634	169	7	of	of	ADP
app01-4634	169	8	fourteen	fourteen	NUM
app01-4634	169	9	multiscale	multiscale	ADJ
app01-4634	169	10	atomistic	atomistic	ADJ
app01-4634	169	11	/	/	SYM
app01-4634	169	12	continuum	continuum	ADJ
app01-4634	169	13	coupling	coupling	NOUN
app01-4634	169	14	methods	method	NOUN
app01-4634	169	15	.	.	PUNCT
app01-4634	170	1	modelling	modelling	NOUN
app01-4634	170	2	and	and	CCONJ
app01-4634	170	3	simulation	simulation	NOUN
app01-4634	170	4	in	in	ADP
app01-4634	170	5	materials	material	NOUN
app01-4634	170	6	science	science	NOUN
app01-4634	170	7	and	and	CCONJ
app01-4634	170	8	engineering	engineering	NOUN
app01-4634	170	9	17(5):053001	17(5):053001	NUM
app01-4634	170	10	,	,	PUNCT
app01-4634	170	11	2009	2009	NUM
app01-4634	170	12	.	.	PUNCT
app01-4634	171	1	84	84	NUM
