id	sid	tid	token	lemma	pos
fumecheng-3502	1	1	plane	plane	NOUN
fumecheng-3502	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-3502	1	3	waves	wave	NOUN
fumecheng-3502	1	4	in	in	ADP
fumecheng-3502	1	5	infinite	infinite	ADJ
fumecheng-3502	1	6	half	half	ADJ
fumecheng-3502	1	7	-	-	PUNCT
fumecheng-3502	1	8	space	space	NOUN
fumecheng-3502	1	9	caused	cause	VERB
fumecheng-3502	1	10	facta	facta	PROPN
fumecheng-3502	1	11	universitatis	universitatis	PROPN
fumecheng-3502	1	12	series	series	NOUN
fumecheng-3502	1	13	:	:	PUNCT
fumecheng-3502	1	14	mechanical	mechanical	ADJ
fumecheng-3502	1	15	engineering	engineering	NOUN
fumecheng-3502	1	16	vol	vol	NOUN
fumecheng-3502	1	17	.	.	PUNCT
fumecheng-3502	2	1	16	16	NUM
fumecheng-3502	2	2	,	,	PUNCT
fumecheng-3502	2	3	no	no	DET
fumecheng-3502	2	4	1	1	NUM
fumecheng-3502	2	5	,	,	PUNCT
fumecheng-3502	2	6	2018	2018	NUM
fumecheng-3502	2	7	,	,	PUNCT
fumecheng-3502	3	1	pp	pp	ADV
fumecheng-3502	3	2	.	.	PUNCT
fumecheng-3502	4	1	41	41	NUM
fumecheng-3502	4	2	50	50	NUM
fumecheng-3502	4	3	https://doi.org/10.22190/fume171229010d	https://doi.org/10.22190/fume171229010d	PROPN
fumecheng-3502	4	4	©	©	PROPN
fumecheng-3502	4	5	2018	2018	NUM
fumecheng-3502	4	6	by	by	ADP
fumecheng-3502	4	7	university	university	PROPN
fumecheng-3502	4	8	of	of	ADP
fumecheng-3502	4	9	niš	niš	PROPN
fumecheng-3502	4	10	,	,	PUNCT
fumecheng-3502	4	11	serbia	serbia	PROPN
fumecheng-3502	4	12	|	|	ADV
fumecheng-3502	4	13	creative	creative	ADJ
fumecheng-3502	4	14	commons	common	NOUN
fumecheng-3502	4	15	licence	licence	NOUN
fumecheng-3502	4	16	:	:	PUNCT
fumecheng-3502	4	17	cc	cc	VERB
fumecheng-3502	4	18	by	by	ADP
fumecheng-3502	4	19	-	-	PUNCT
fumecheng-3502	4	20	nc	nc	VERB
fumecheng-3502	4	21	-	-	PUNCT
fumecheng-3502	4	22	nd	nd	ADV
fumecheng-3502	4	23	original	original	ADJ
fumecheng-3502	4	24	scientific	scientific	ADJ
fumecheng-3502	4	25	paper	paper	ADJ
fumecheng-3502	4	26	simulation	simulation	NOUN
fumecheng-3502	4	27	of	of	ADP
fumecheng-3502	4	28	fracture	fracture	NOUN
fumecheng-3502	4	29	using	use	VERB
fumecheng-3502	4	30	a	a	DET
fumecheng-3502	4	31	mesh	mesh	NOUN
fumecheng-3502	4	32	-	-	PUNCT
fumecheng-3502	4	33	dependent	dependent	ADJ
fumecheng-3502	4	34	fracture	fracture	NOUN
fumecheng-3502	4	35	criterion	criterion	NOUN
fumecheng-3502	4	36	in	in	ADP
fumecheng-3502	4	37	the	the	DET
fumecheng-3502	4	38	discrete	discrete	ADJ
fumecheng-3502	4	39	element	element	NOUN
fumecheng-3502	4	40	method	method	NOUN
fumecheng-3502	4	41	udc	udc	NOUN
fumecheng-3502	4	42	539.4	539.4	NUM
fumecheng-3502	4	43	,	,	PUNCT
fumecheng-3502	4	44	519.6	519.6	NUM
fumecheng-3502	4	45	andrey	andrey	PROPN
fumecheng-3502	4	46	dimaki	dimaki	NOUN
fumecheng-3502	4	47	1	1	NUM
fumecheng-3502	4	48	,	,	PUNCT
fumecheng-3502	4	49	evgeny	evgeny	PROPN
fumecheng-3502	4	50	shilko	shilko	PROPN
fumecheng-3502	4	51	1	1	NUM
fumecheng-3502	4	52	,	,	PUNCT
fumecheng-3502	4	53	sergey	sergey	PROPN
fumecheng-3502	4	54	psakhie	psakhie	VERB
fumecheng-3502	4	55	1	1	NUM
fumecheng-3502	4	56	,	,	PUNCT
fumecheng-3502	4	57	valentin	valentin	VERB
fumecheng-3502	4	58	popov	popov	PROPN
fumecheng-3502	4	59	2	2	NUM
fumecheng-3502	4	60	1	1	NUM
fumecheng-3502	4	61	institute	institute	NOUN
fumecheng-3502	4	62	of	of	ADP
fumecheng-3502	4	63	strength	strength	PROPN
fumecheng-3502	4	64	physics	physics	PROPN
fumecheng-3502	4	65	and	and	CCONJ
fumecheng-3502	4	66	materials	material	NOUN
fumecheng-3502	4	67	science	science	PROPN
fumecheng-3502	4	68	sb	sb	PROPN
fumecheng-3502	4	69	ras	ras	PROPN
fumecheng-3502	4	70	,	,	PUNCT
fumecheng-3502	4	71	tomsk	tomsk	PROPN
fumecheng-3502	4	72	,	,	PUNCT
fumecheng-3502	4	73	russia	russia	PROPN
fumecheng-3502	4	74	2	2	NUM
fumecheng-3502	4	75	berlin	berlin	PROPN
fumecheng-3502	4	76	university	university	PROPN
fumecheng-3502	4	77	of	of	ADP
fumecheng-3502	4	78	technology	technology	PROPN
fumecheng-3502	4	79	,	,	PUNCT
fumecheng-3502	4	80	berlin	berlin	PROPN
fumecheng-3502	4	81	,	,	PUNCT
fumecheng-3502	4	82	germany	germany	PROPN
fumecheng-3502	4	83	abstract	abstract	NOUN
fumecheng-3502	4	84	.	.	PUNCT
fumecheng-3502	5	1	recently	recently	ADV
fumecheng-3502	5	2	,	,	PUNCT
fumecheng-3502	5	3	pohrt	pohrt	NOUN
fumecheng-3502	5	4	and	and	CCONJ
fumecheng-3502	5	5	popov	popov	PROPN
fumecheng-3502	5	6	have	have	AUX
fumecheng-3502	5	7	shown	show	VERB
fumecheng-3502	5	8	that	that	SCONJ
fumecheng-3502	5	9	for	for	ADP
fumecheng-3502	5	10	simulation	simulation	NOUN
fumecheng-3502	5	11	of	of	ADP
fumecheng-3502	5	12	adhesive	adhesive	ADJ
fumecheng-3502	5	13	contacts	contact	NOUN
fumecheng-3502	5	14	a	a	DET
fumecheng-3502	5	15	mesh	mesh	NOUN
fumecheng-3502	5	16	dependent	dependent	ADJ
fumecheng-3502	5	17	detachment	detachment	NOUN
fumecheng-3502	5	18	criterion	criterion	NOUN
fumecheng-3502	5	19	must	must	AUX
fumecheng-3502	5	20	be	be	AUX
fumecheng-3502	5	21	used	use	VERB
fumecheng-3502	5	22	to	to	PART
fumecheng-3502	5	23	obtain	obtain	VERB
fumecheng-3502	5	24	the	the	DET
fumecheng-3502	5	25	mesh	mesh	NOUN
fumecheng-3502	5	26	-	-	PUNCT
fumecheng-3502	5	27	independent	independent	ADJ
fumecheng-3502	5	28	macroscopic	macroscopic	ADJ
fumecheng-3502	5	29	behavior	behavior	NOUN
fumecheng-3502	5	30	of	of	ADP
fumecheng-3502	5	31	the	the	DET
fumecheng-3502	5	32	system	system	NOUN
fumecheng-3502	5	33	.	.	PUNCT
fumecheng-3502	6	1	the	the	DET
fumecheng-3502	6	2	same	same	ADJ
fumecheng-3502	6	3	principle	principle	NOUN
fumecheng-3502	6	4	should	should	AUX
fumecheng-3502	6	5	be	be	AUX
fumecheng-3502	6	6	also	also	ADV
fumecheng-3502	6	7	applicable	applicable	ADJ
fumecheng-3502	6	8	for	for	ADP
fumecheng-3502	6	9	the	the	DET
fumecheng-3502	6	10	simulation	simulation	NOUN
fumecheng-3502	6	11	of	of	ADP
fumecheng-3502	6	12	fracture	fracture	NOUN
fumecheng-3502	6	13	processes	process	NOUN
fumecheng-3502	6	14	in	in	ADP
fumecheng-3502	6	15	any	any	DET
fumecheng-3502	6	16	method	method	NOUN
fumecheng-3502	6	17	using	use	VERB
fumecheng-3502	6	18	finite	finite	ADJ
fumecheng-3502	6	19	discretization	discretization	NOUN
fumecheng-3502	6	20	.	.	PUNCT
fumecheng-3502	7	1	in	in	ADP
fumecheng-3502	7	2	particular	particular	ADJ
fumecheng-3502	7	3	,	,	PUNCT
fumecheng-3502	7	4	in	in	ADP
fumecheng-3502	7	5	the	the	DET
fumecheng-3502	7	6	discrete	discrete	ADJ
fumecheng-3502	7	7	element	element	NOUN
fumecheng-3502	7	8	methods	method	NOUN
fumecheng-3502	7	9	(	(	PUNCT
fumecheng-3502	7	10	dem	dem	PROPN
fumecheng-3502	7	11	)	)	PUNCT
fumecheng-3502	7	12	the	the	DET
fumecheng-3502	7	13	detachment	detachment	NOUN
fumecheng-3502	7	14	criterion	criterion	NOUN
fumecheng-3502	7	15	of	of	ADP
fumecheng-3502	7	16	particles	particle	NOUN
fumecheng-3502	7	17	should	should	AUX
fumecheng-3502	7	18	depend	depend	VERB
fumecheng-3502	7	19	on	on	ADP
fumecheng-3502	7	20	the	the	DET
fumecheng-3502	7	21	particle	particle	NOUN
fumecheng-3502	7	22	size	size	NOUN
fumecheng-3502	7	23	.	.	PUNCT
fumecheng-3502	8	1	in	in	ADP
fumecheng-3502	8	2	the	the	DET
fumecheng-3502	8	3	present	present	ADJ
fumecheng-3502	8	4	paper	paper	NOUN
fumecheng-3502	8	5	,	,	PUNCT
fumecheng-3502	8	6	we	we	PRON
fumecheng-3502	8	7	analyze	analyze	VERB
fumecheng-3502	8	8	how	how	SCONJ
fumecheng-3502	8	9	the	the	DET
fumecheng-3502	8	10	mesh	mesh	NOUN
fumecheng-3502	8	11	dependent	dependent	ADJ
fumecheng-3502	8	12	detachment	detachment	NOUN
fumecheng-3502	8	13	criterion	criterion	NOUN
fumecheng-3502	8	14	has	have	VERB
fumecheng-3502	8	15	to	to	PART
fumecheng-3502	8	16	be	be	AUX
fumecheng-3502	8	17	introduced	introduce	VERB
fumecheng-3502	8	18	to	to	PART
fumecheng-3502	8	19	guarantee	guarantee	VERB
fumecheng-3502	8	20	the	the	DET
fumecheng-3502	8	21	macroscopic	macroscopic	ADJ
fumecheng-3502	8	22	invariance	invariance	NOUN
fumecheng-3502	8	23	of	of	ADP
fumecheng-3502	8	24	mechanical	mechanical	ADJ
fumecheng-3502	8	25	behavior	behavior	NOUN
fumecheng-3502	8	26	of	of	ADP
fumecheng-3502	8	27	a	a	DET
fumecheng-3502	8	28	material	material	NOUN
fumecheng-3502	8	29	.	.	PUNCT
fumecheng-3502	9	1	we	we	PRON
fumecheng-3502	9	2	find	find	VERB
fumecheng-3502	9	3	that	that	SCONJ
fumecheng-3502	9	4	it	it	PRON
fumecheng-3502	9	5	is	be	AUX
fumecheng-3502	9	6	possible	possible	ADJ
fumecheng-3502	9	7	to	to	PART
fumecheng-3502	9	8	formulate	formulate	VERB
fumecheng-3502	9	9	the	the	DET
fumecheng-3502	9	10	criterion	criterion	NOUN
fumecheng-3502	9	11	which	which	PRON
fumecheng-3502	9	12	describes	describe	VERB
fumecheng-3502	9	13	fracture	fracture	NOUN
fumecheng-3502	9	14	both	both	PRON
fumecheng-3502	9	15	in	in	ADP
fumecheng-3502	9	16	tensile	tensile	NOUN
fumecheng-3502	9	17	and	and	CCONJ
fumecheng-3502	9	18	shear	shear	NOUN
fumecheng-3502	9	19	experiments	experiment	NOUN
fumecheng-3502	9	20	correctly	correctly	ADV
fumecheng-3502	9	21	.	.	PUNCT
fumecheng-3502	10	1	key	key	ADJ
fumecheng-3502	10	2	words	word	NOUN
fumecheng-3502	10	3	:	:	PUNCT
fumecheng-3502	10	4	fracture	fracture	NOUN
fumecheng-3502	10	5	,	,	PUNCT
fumecheng-3502	10	6	mesh	mesh	NOUN
fumecheng-3502	10	7	-	-	PUNCT
fumecheng-3502	10	8	dependence	dependence	NOUN
fumecheng-3502	10	9	,	,	PUNCT
fumecheng-3502	10	10	discrete	discrete	ADJ
fumecheng-3502	10	11	element	element	NOUN
fumecheng-3502	10	12	method	method	NOUN
fumecheng-3502	10	13	,	,	PUNCT
fumecheng-3502	10	14	particle	particle	NOUN
fumecheng-3502	10	15	size	size	NOUN
fumecheng-3502	10	16	1	1	NUM
fumecheng-3502	10	17	.	.	PUNCT
fumecheng-3502	10	18	introduction	introduction	NOUN
fumecheng-3502	10	19	since	since	SCONJ
fumecheng-3502	10	20	the	the	DET
fumecheng-3502	10	21	work	work	NOUN
fumecheng-3502	10	22	of	of	ADP
fumecheng-3502	10	23	hertz	hertz	NOUN
fumecheng-3502	11	1	[	[	X
fumecheng-3502	11	2	1	1	X
fumecheng-3502	11	3	]	]	PUNCT
fumecheng-3502	11	4	it	it	PRON
fumecheng-3502	11	5	is	be	AUX
fumecheng-3502	11	6	well	well	ADV
fumecheng-3502	11	7	-	-	PUNCT
fumecheng-3502	11	8	known	know	VERB
fumecheng-3502	11	9	that	that	SCONJ
fumecheng-3502	11	10	stress	stress	VERB
fumecheng-3502	11	11	distribution	distribution	NOUN
fumecheng-3502	11	12	in	in	ADP
fumecheng-3502	11	13	a	a	DET
fumecheng-3502	11	14	contact	contact	NOUN
fumecheng-3502	11	15	area	area	NOUN
fumecheng-3502	11	16	is	be	AUX
fumecheng-3502	11	17	not	not	PART
fumecheng-3502	11	18	uniform	uniform	ADJ
fumecheng-3502	11	19	.	.	PUNCT
fumecheng-3502	12	1	stress	stress	ADJ
fumecheng-3502	12	2	distribution	distribution	NOUN
fumecheng-3502	12	3	in	in	ADP
fumecheng-3502	12	4	the	the	DET
fumecheng-3502	12	5	contact	contact	NOUN
fumecheng-3502	12	6	between	between	ADP
fumecheng-3502	12	7	an	an	DET
fumecheng-3502	12	8	elastic	elastic	ADJ
fumecheng-3502	12	9	half	half	ADJ
fumecheng-3502	12	10	-	-	PUNCT
fumecheng-3502	12	11	space	space	NOUN
fumecheng-3502	12	12	and	and	CCONJ
fumecheng-3502	12	13	sharpedged	sharpedge	VERB
fumecheng-3502	12	14	rigid	rigid	ADJ
fumecheng-3502	12	15	or	or	CCONJ
fumecheng-3502	12	16	elastic	elastic	ADJ
fumecheng-3502	12	17	counter	counter	NOUN
fumecheng-3502	12	18	-	-	NOUN
fumecheng-3502	12	19	bodies	body	NOUN
fumecheng-3502	12	20	of	of	ADP
fumecheng-3502	12	21	a	a	DET
fumecheng-3502	12	22	different	different	ADJ
fumecheng-3502	12	23	shape	shape	NOUN
fumecheng-3502	12	24	(	(	PUNCT
fumecheng-3502	12	25	e.g.	e.g.	ADV
fumecheng-3502	12	26	a	a	DET
fumecheng-3502	12	27	cylinder	cylinder	NOUN
fumecheng-3502	12	28	,	,	PUNCT
fumecheng-3502	12	29	frustum	frustum	NOUN
fumecheng-3502	12	30	etc	etc	X
fumecheng-3502	12	31	.	.	PUNCT
fumecheng-3502	12	32	)	)	PUNCT
fumecheng-3502	12	33	tends	tend	VERB
fumecheng-3502	12	34	to	to	PART
fumecheng-3502	12	35	infinity	infinity	VERB
fumecheng-3502	12	36	in	in	ADP
fumecheng-3502	12	37	a	a	DET
fumecheng-3502	12	38	vicinity	vicinity	NOUN
fumecheng-3502	12	39	of	of	ADP
fumecheng-3502	12	40	the	the	DET
fumecheng-3502	12	41	contact	contact	NOUN
fumecheng-3502	12	42	area	area	NOUN
fumecheng-3502	12	43	boundary	boundary	ADJ
fumecheng-3502	12	44	[	[	X
fumecheng-3502	12	45	2	2	NUM
fumecheng-3502	12	46	,	,	PUNCT
fumecheng-3502	12	47	4	4	NUM
fumecheng-3502	12	48	-	-	SYM
fumecheng-3502	12	49	6	6	NUM
fumecheng-3502	12	50	]	]	PUNCT
fumecheng-3502	12	51	.	.	PUNCT
fumecheng-3502	13	1	in	in	ADP
fumecheng-3502	13	2	reality	reality	NOUN
fumecheng-3502	13	3	,	,	PUNCT
fumecheng-3502	13	4	stresses	stress	VERB
fumecheng-3502	13	5	at	at	ADP
fumecheng-3502	13	6	the	the	DET
fumecheng-3502	13	7	contact	contact	NOUN
fumecheng-3502	13	8	area	area	NOUN
fumecheng-3502	13	9	boundary	boundary	NOUN
fumecheng-3502	13	10	never	never	ADV
fumecheng-3502	13	11	achieve	achieve	VERB
fumecheng-3502	13	12	infinite	infinite	ADJ
fumecheng-3502	13	13	values	value	NOUN
fumecheng-3502	13	14	due	due	ADP
fumecheng-3502	13	15	to	to	ADP
fumecheng-3502	13	16	surface	surface	NOUN
fumecheng-3502	13	17	roughness	roughness	NOUN
fumecheng-3502	13	18	and/or	and/or	CCONJ
fumecheng-3502	13	19	plastic	plastic	ADJ
fumecheng-3502	13	20	deformation	deformation	NOUN
fumecheng-3502	13	21	[	[	X
fumecheng-3502	13	22	3	3	NUM
fumecheng-3502	13	23	]	]	PUNCT
fumecheng-3502	13	24	.	.	PUNCT
fumecheng-3502	14	1	nevertheless	nevertheless	ADV
fumecheng-3502	14	2	,	,	PUNCT
fumecheng-3502	14	3	these	these	DET
fumecheng-3502	14	4	stresses	stress	NOUN
fumecheng-3502	14	5	are	be	AUX
fumecheng-3502	14	6	several	several	ADJ
fumecheng-3502	14	7	times	time	NOUN
fumecheng-3502	14	8	higher	high	ADJ
fumecheng-3502	14	9	than	than	ADP
fumecheng-3502	14	10	in	in	ADP
fumecheng-3502	14	11	the	the	DET
fumecheng-3502	14	12	center	center	NOUN
fumecheng-3502	14	13	of	of	ADP
fumecheng-3502	14	14	the	the	DET
fumecheng-3502	14	15	contact	contact	NOUN
fumecheng-3502	14	16	area	area	NOUN
fumecheng-3502	14	17	.	.	PUNCT
fumecheng-3502	15	1	the	the	DET
fumecheng-3502	15	2	presence	presence	NOUN
fumecheng-3502	15	3	of	of	ADP
fumecheng-3502	15	4	high	high	ADJ
fumecheng-3502	15	5	stress	stress	NOUN
fumecheng-3502	15	6	concentrations	concentration	NOUN
fumecheng-3502	15	7	near	near	ADP
fumecheng-3502	15	8	contact	contact	NOUN
fumecheng-3502	15	9	patch	patch	NOUN
fumecheng-3502	15	10	boundaries	boundary	NOUN
fumecheng-3502	15	11	,	,	PUNCT
fumecheng-3502	15	12	notches	notch	NOUN
fumecheng-3502	15	13	etc	etc	X
fumecheng-3502	15	14	.	.	X
fumecheng-3502	15	15	leads	lead	VERB
fumecheng-3502	15	16	to	to	ADP
fumecheng-3502	15	17	nucleation	nucleation	NOUN
fumecheng-3502	15	18	of	of	ADP
fumecheng-3502	15	19	cracks	crack	NOUN
fumecheng-3502	15	20	on	on	ADP
fumecheng-3502	15	21	different	different	ADJ
fumecheng-3502	15	22	scales	scale	NOUN
fumecheng-3502	15	23	[	[	X
fumecheng-3502	15	24	7	7	NUM
fumecheng-3502	15	25	,	,	PUNCT
fumecheng-3502	15	26	8	8	NUM
fumecheng-3502	15	27	]	]	PUNCT
fumecheng-3502	15	28	.	.	PUNCT
fumecheng-3502	16	1	in	in	ADP
fumecheng-3502	16	2	order	order	NOUN
fumecheng-3502	16	3	to	to	PART
fumecheng-3502	16	4	describe	describe	VERB
fumecheng-3502	16	5	conditions	condition	NOUN
fumecheng-3502	16	6	of	of	ADP
fumecheng-3502	16	7	fracture	fracture	NOUN
fumecheng-3502	16	8	in	in	ADP
fumecheng-3502	16	9	the	the	DET
fumecheng-3502	16	10	regions	region	NOUN
fumecheng-3502	16	11	with	with	ADP
fumecheng-3502	16	12	heterogeneous	heterogeneous	ADJ
fumecheng-3502	16	13	stress	stress	NOUN
fumecheng-3502	16	14	/	/	SYM
fumecheng-3502	16	15	strain	strain	NOUN
fumecheng-3502	16	16	fields	field	NOUN
fumecheng-3502	16	17	,	,	PUNCT
fumecheng-3502	16	18	non	non	ADJ
fumecheng-3502	16	19	-	-	ADJ
fumecheng-3502	16	20	local	local	ADJ
fumecheng-3502	16	21	fracture	fracture	NOUN
fumecheng-3502	16	22	criteria	criterion	NOUN
fumecheng-3502	16	23	received	receive	VERB
fumecheng-3502	16	24	december	december	PROPN
fumecheng-3502	16	25	29	29	NUM
fumecheng-3502	16	26	,	,	PUNCT
fumecheng-3502	16	27	2017	2017	NUM
fumecheng-3502	16	28	/	/	PUNCT
fumecheng-3502	16	29	accepted	accept	VERB
fumecheng-3502	16	30	february	february	PROPN
fumecheng-3502	16	31	05	05	NUM
fumecheng-3502	16	32	,	,	PUNCT
fumecheng-3502	16	33	2018	2018	NUM
fumecheng-3502	16	34	corresponding	correspond	VERB
fumecheng-3502	16	35	author	author	NOUN
fumecheng-3502	16	36	:	:	PUNCT
fumecheng-3502	16	37	andrey	andrey	PROPN
fumecheng-3502	16	38	v.	v.	PROPN
fumecheng-3502	16	39	dimaki	dimaki	PROPN
fumecheng-3502	16	40	institute	institute	PROPN
fumecheng-3502	16	41	of	of	ADP
fumecheng-3502	16	42	strength	strength	PROPN
fumecheng-3502	16	43	physics	physics	PROPN
fumecheng-3502	16	44	and	and	CCONJ
fumecheng-3502	16	45	materials	material	NOUN
fumecheng-3502	16	46	science	science	PROPN
fumecheng-3502	16	47	sb	sb	PROPN
fumecheng-3502	16	48	ras	ras	PROPN
fumecheng-3502	16	49	,	,	PUNCT
fumecheng-3502	16	50	634055	634055	NUM
fumecheng-3502	16	51	,	,	PUNCT
fumecheng-3502	16	52	tomsk	tomsk	PROPN
fumecheng-3502	16	53	,	,	PUNCT
fumecheng-3502	16	54	russia	russia	PROPN
fumecheng-3502	16	55	dav@ispms.tsc.ru	dav@ispms.tsc.ru	VERB
fumecheng-3502	16	56	42	42	NUM
fumecheng-3502	16	57	a.	a.	NOUN
fumecheng-3502	16	58	dimaki	dimaki	NOUN
fumecheng-3502	16	59	,	,	PUNCT
fumecheng-3502	16	60	e.	e.	PROPN
fumecheng-3502	16	61	shilko	shilko	PROPN
fumecheng-3502	16	62	,	,	PUNCT
fumecheng-3502	16	63	s.	s.	PROPN
fumecheng-3502	16	64	psakhie	psakhie	PROPN
fumecheng-3502	16	65	,	,	PUNCT
fumecheng-3502	16	66	v.	v.	ADP
fumecheng-3502	16	67	popov	popov	PROPN
fumecheng-3502	16	68	have	have	AUX
fumecheng-3502	16	69	been	be	AUX
fumecheng-3502	16	70	developed	develop	VERB
fumecheng-3502	16	71	.	.	PUNCT
fumecheng-3502	17	1	perhaps	perhaps	ADV
fumecheng-3502	17	2	one	one	NUM
fumecheng-3502	17	3	of	of	ADP
fumecheng-3502	17	4	the	the	DET
fumecheng-3502	17	5	most	most	ADV
fumecheng-3502	17	6	popular	popular	ADJ
fumecheng-3502	17	7	nonlocal	nonlocal	ADJ
fumecheng-3502	17	8	fracture	fracture	NOUN
fumecheng-3502	17	9	criteria	criterion	NOUN
fumecheng-3502	17	10	is	be	AUX
fumecheng-3502	17	11	novozhilov	novozhilov	NOUN
fumecheng-3502	17	12	fracture	fracture	NOUN
fumecheng-3502	17	13	criterion	criterion	NOUN
fumecheng-3502	18	1	[	[	X
fumecheng-3502	18	2	9	9	NUM
fumecheng-3502	18	3	]	]	PUNCT
fumecheng-3502	18	4	which	which	PRON
fumecheng-3502	18	5	reads	read	VERB
fumecheng-3502	18	6	1	1	NUM
fumecheng-3502	18	7	1	1	NUM
fumecheng-3502	18	8	0	0	NUM
fumecheng-3502	18	9	1	1	NUM
fumecheng-3502	18	10	(	(	PUNCT
fumecheng-3502	19	1	)	)	PUNCT
fumecheng-3502	19	2	d	d	X
fumecheng-3502	19	3	y	y	PROPN
fumecheng-3502	19	4	cx	cx	PROPN
fumecheng-3502	19	5	dx	dx	PROPN
fumecheng-3502	20	1	d	d	X
fumecheng-3502	20	2			PROPN
fumecheng-3502	20	3			PROPN
fumecheng-3502	20	4			NOUN
fumecheng-3502	20	5	,	,	PUNCT
fumecheng-3502	20	6	(	(	PUNCT
fumecheng-3502	20	7	1	1	X
fumecheng-3502	20	8	)	)	PUNCT
fumecheng-3502	20	9	where	where	SCONJ
fumecheng-3502	20	10	σc	σc	PROPN
fumecheng-3502	20	11	is	be	AUX
fumecheng-3502	20	12	the	the	DET
fumecheng-3502	20	13	strength	strength	NOUN
fumecheng-3502	20	14	of	of	ADP
fumecheng-3502	20	15	a	a	DET
fumecheng-3502	20	16	homogeneous	homogeneous	ADJ
fumecheng-3502	20	17	material	material	NOUN
fumecheng-3502	20	18	under	under	ADP
fumecheng-3502	20	19	uniaxial	uniaxial	ADJ
fumecheng-3502	20	20	tension	tension	NOUN
fumecheng-3502	20	21	without	without	ADP
fumecheng-3502	20	22	stress	stress	NOUN
fumecheng-3502	20	23	concentrators	concentrator	NOUN
fumecheng-3502	20	24	,	,	PUNCT
fumecheng-3502	20	25	σy(x	σy(x	NOUN
fumecheng-3502	20	26	)	)	PUNCT
fumecheng-3502	20	27	is	be	AUX
fumecheng-3502	20	28	the	the	DET
fumecheng-3502	20	29	maximum	maximum	ADJ
fumecheng-3502	20	30	normal	normal	ADJ
fumecheng-3502	20	31	stress	stress	NOUN
fumecheng-3502	20	32	,	,	PUNCT
fumecheng-3502	20	33	x	x	PUNCT
fumecheng-3502	20	34	axis	axis	NOUN
fumecheng-3502	20	35	corresponds	correspond	VERB
fumecheng-3502	20	36	to	to	ADP
fumecheng-3502	20	37	a	a	DET
fumecheng-3502	20	38	“	"	PUNCT
fumecheng-3502	20	39	most	most	ADV
fumecheng-3502	20	40	probable	probable	ADJ
fumecheng-3502	20	41	”	"	PUNCT
fumecheng-3502	20	42	direction	direction	NOUN
fumecheng-3502	20	43	of	of	ADP
fumecheng-3502	20	44	crack	crack	NOUN
fumecheng-3502	20	45	propagation	propagation	NOUN
fumecheng-3502	20	46	,	,	PUNCT
fumecheng-3502	20	47	d1	d1	PROPN
fumecheng-3502	20	48	is	be	AUX
fumecheng-3502	20	49	a	a	DET
fumecheng-3502	20	50	material	material	NOUN
fumecheng-3502	20	51	constant	constant	ADJ
fumecheng-3502	20	52	having	have	VERB
fumecheng-3502	20	53	a	a	DET
fumecheng-3502	20	54	dimensionality	dimensionality	NOUN
fumecheng-3502	20	55	of	of	ADP
fumecheng-3502	20	56	length	length	NOUN
fumecheng-3502	20	57	.	.	PUNCT
fumecheng-3502	21	1	similar	similar	ADJ
fumecheng-3502	21	2	forms	form	NOUN
fumecheng-3502	21	3	of	of	ADP
fumecheng-3502	21	4	nonlocal	nonlocal	ADJ
fumecheng-3502	21	5	criterion	criterion	NOUN
fumecheng-3502	21	6	(	(	PUNCT
fumecheng-3502	21	7	1	1	X
fumecheng-3502	21	8	)	)	PUNCT
fumecheng-3502	21	9	were	be	AUX
fumecheng-3502	21	10	used	use	VERB
fumecheng-3502	21	11	in	in	ADP
fumecheng-3502	21	12	[	[	X
fumecheng-3502	21	13	10	10	NUM
fumecheng-3502	21	14	]	]	PUNCT
fumecheng-3502	21	15	for	for	ADP
fumecheng-3502	21	16	composites	composite	NOUN
fumecheng-3502	21	17	and	and	CCONJ
fumecheng-3502	21	18	in	in	ADP
fumecheng-3502	21	19	[	[	X
fumecheng-3502	21	20	11	11	NUM
fumecheng-3502	21	21	]	]	PUNCT
fumecheng-3502	21	22	for	for	ADP
fumecheng-3502	21	23	notched	notch	VERB
fumecheng-3502	21	24	samples	sample	NOUN
fumecheng-3502	21	25	.	.	PUNCT
fumecheng-3502	22	1	another	another	DET
fumecheng-3502	22	2	way	way	NOUN
fumecheng-3502	22	3	of	of	ADP
fumecheng-3502	22	4	taking	take	VERB
fumecheng-3502	22	5	into	into	ADP
fumecheng-3502	22	6	account	account	NOUN
fumecheng-3502	22	7	stress	stress	NOUN
fumecheng-3502	22	8	concentrators	concentrator	NOUN
fumecheng-3502	22	9	is	be	AUX
fumecheng-3502	22	10	to	to	PART
fumecheng-3502	22	11	include	include	VERB
fumecheng-3502	22	12	both	both	DET
fumecheng-3502	22	13	absolute	absolute	ADJ
fumecheng-3502	22	14	value	value	NOUN
fumecheng-3502	22	15	of	of	ADP
fumecheng-3502	22	16	stress	stress	NOUN
fumecheng-3502	22	17	(	(	PUNCT
fumecheng-3502	22	18	either	either	CCONJ
fumecheng-3502	22	19	maximal	maximal	ADJ
fumecheng-3502	22	20	or	or	CCONJ
fumecheng-3502	22	21	average	average	ADJ
fumecheng-3502	22	22	value	value	NOUN
fumecheng-3502	22	23	)	)	PUNCT
fumecheng-3502	22	24	and	and	CCONJ
fumecheng-3502	22	25	its	its	PRON
fumecheng-3502	22	26	gradient	gradient	NOUN
fumecheng-3502	22	27	in	in	ADP
fumecheng-3502	22	28	a	a	DET
fumecheng-3502	22	29	crack	crack	NOUN
fumecheng-3502	22	30	processing	processing	NOUN
fumecheng-3502	22	31	zone	zone	NOUN
fumecheng-3502	22	32	:	:	PUNCT
fumecheng-3502	22	33	0	0	NUM
fumecheng-3502	22	34	(	(	PUNCT
fumecheng-3502	22	35	,	,	PUNCT
fumecheng-3502	22	36	/	/	SYM
fumecheng-3502	22	37	)	)	PUNCT
fumecheng-3502	22	38	e	e	NOUN
fumecheng-3502	22	39	cf	cf	NOUN
fumecheng-3502	22	40	l	l	PROPN
fumecheng-3502	22	41	l	l	PROPN
fumecheng-3502	22	42			PRON
fumecheng-3502	22	43			PROPN
fumecheng-3502	22	44	,	,	PUNCT
fumecheng-3502	22	45	(	(	PUNCT
fumecheng-3502	22	46	2	2	X
fumecheng-3502	22	47	)	)	PUNCT
fumecheng-3502	22	48	where	where	SCONJ
fumecheng-3502	22	49	l0	l0	PROPN
fumecheng-3502	22	50	is	be	AUX
fumecheng-3502	22	51	a	a	DET
fumecheng-3502	22	52	characteristic	characteristic	ADJ
fumecheng-3502	22	53	size	size	NOUN
fumecheng-3502	22	54	of	of	ADP
fumecheng-3502	22	55	material	material	NOUN
fumecheng-3502	22	56	structure	structure	NOUN
fumecheng-3502	22	57	elements	element	NOUN
fumecheng-3502	22	58	,	,	PUNCT
fumecheng-3502	22	59	le	le	X
fumecheng-3502	22	60	is	be	AUX
fumecheng-3502	22	61	a	a	DET
fumecheng-3502	22	62	size	size	NOUN
fumecheng-3502	22	63	of	of	ADP
fumecheng-3502	22	64	stress	stress	NOUN
fumecheng-3502	22	65	concentration	concentration	NOUN
fumecheng-3502	22	66	zone	zone	NOUN
fumecheng-3502	22	67	[	[	X
fumecheng-3502	22	68	12	12	NUM
fumecheng-3502	22	69	]	]	PUNCT
fumecheng-3502	22	70	.	.	PUNCT
fumecheng-3502	23	1	in	in	ADP
fumecheng-3502	23	2	the	the	DET
fumecheng-3502	23	3	framework	framework	NOUN
fumecheng-3502	23	4	of	of	ADP
fumecheng-3502	23	5	this	this	DET
fumecheng-3502	23	6	approach	approach	NOUN
fumecheng-3502	23	7	the	the	DET
fumecheng-3502	23	8	size	size	NOUN
fumecheng-3502	23	9	of	of	ADP
fumecheng-3502	23	10	stress	stress	NOUN
fumecheng-3502	23	11	concentration	concentration	NOUN
fumecheng-3502	23	12	zone	zone	NOUN
fumecheng-3502	23	13	depends	depend	VERB
fumecheng-3502	23	14	on	on	ADP
fumecheng-3502	23	15	a	a	DET
fumecheng-3502	23	16	local	local	ADJ
fumecheng-3502	23	17	stress	stress	NOUN
fumecheng-3502	23	18	gradient	gradient	NOUN
fumecheng-3502	23	19	:	:	PUNCT
fumecheng-3502	23	20	le	le	X
fumecheng-3502	23	21	=	=	SYM
fumecheng-3502	23	22	le(grad(σ	le(grad(σ	PROPN
fumecheng-3502	23	23	)	)	PUNCT
fumecheng-3502	23	24	)	)	PUNCT
fumecheng-3502	23	25	.	.	PUNCT
fumecheng-3502	24	1	when	when	SCONJ
fumecheng-3502	24	2	developing	develop	VERB
fumecheng-3502	24	3	a	a	DET
fumecheng-3502	24	4	numerical	numerical	ADJ
fumecheng-3502	24	5	model	model	NOUN
fumecheng-3502	24	6	of	of	ADP
fumecheng-3502	24	7	the	the	DET
fumecheng-3502	24	8	contact	contact	NOUN
fumecheng-3502	24	9	,	,	PUNCT
fumecheng-3502	24	10	or	or	CCONJ
fumecheng-3502	24	11	,	,	PUNCT
fumecheng-3502	24	12	more	more	ADV
fumecheng-3502	24	13	generally	generally	ADV
fumecheng-3502	24	14	,	,	PUNCT
fumecheng-3502	24	15	of	of	ADP
fumecheng-3502	24	16	a	a	DET
fumecheng-3502	24	17	sample	sample	NOUN
fumecheng-3502	24	18	with	with	ADP
fumecheng-3502	24	19	stress	stress	NOUN
fumecheng-3502	24	20	concentrators	concentrator	NOUN
fumecheng-3502	24	21	,	,	PUNCT
fumecheng-3502	24	22	it	it	PRON
fumecheng-3502	24	23	is	be	AUX
fumecheng-3502	24	24	necessary	necessary	ADJ
fumecheng-3502	24	25	to	to	PART
fumecheng-3502	24	26	adequately	adequately	ADV
fumecheng-3502	24	27	describe	describe	VERB
fumecheng-3502	24	28	crack	crack	NOUN
fumecheng-3502	24	29	nucleation	nucleation	NOUN
fumecheng-3502	24	30	conditions	condition	NOUN
fumecheng-3502	24	31	since	since	SCONJ
fumecheng-3502	24	32	they	they	PRON
fumecheng-3502	24	33	significantly	significantly	ADV
fumecheng-3502	24	34	depend	depend	VERB
fumecheng-3502	24	35	on	on	ADP
fumecheng-3502	24	36	stress	stress	NOUN
fumecheng-3502	24	37	distribution	distribution	NOUN
fumecheng-3502	24	38	approximation	approximation	NOUN
fumecheng-3502	24	39	accuracy	accuracy	NOUN
fumecheng-3502	24	40	that	that	PRON
fumecheng-3502	24	41	is	be	AUX
fumecheng-3502	24	42	determined	determine	VERB
fumecheng-3502	24	43	,	,	PUNCT
fumecheng-3502	24	44	in	in	ADP
fumecheng-3502	24	45	turn	turn	NOUN
fumecheng-3502	24	46	,	,	PUNCT
fumecheng-3502	24	47	by	by	ADP
fumecheng-3502	24	48	mesh	mesh	NOUN
fumecheng-3502	24	49	size	size	NOUN
fumecheng-3502	24	50	.	.	PUNCT
fumecheng-3502	25	1	correspondingly	correspondingly	ADV
fumecheng-3502	25	2	,	,	PUNCT
fumecheng-3502	25	3	variation	variation	NOUN
fumecheng-3502	25	4	of	of	ADP
fumecheng-3502	25	5	the	the	DET
fumecheng-3502	25	6	mesh	mesh	NOUN
fumecheng-3502	25	7	size	size	NOUN
fumecheng-3502	25	8	may	may	AUX
fumecheng-3502	25	9	have	have	VERB
fumecheng-3502	25	10	influence	influence	NOUN
fumecheng-3502	25	11	on	on	ADP
fumecheng-3502	25	12	the	the	DET
fumecheng-3502	25	13	values	value	NOUN
fumecheng-3502	25	14	of	of	ADP
fumecheng-3502	25	15	mechanical	mechanical	ADJ
fumecheng-3502	25	16	characteristics	characteristic	NOUN
fumecheng-3502	25	17	of	of	ADP
fumecheng-3502	25	18	the	the	DET
fumecheng-3502	25	19	simulated	simulate	VERB
fumecheng-3502	25	20	samples	sample	NOUN
fumecheng-3502	25	21	,	,	PUNCT
fumecheng-3502	25	22	e.g.	e.g.	ADV
fumecheng-3502	25	23	their	their	PRON
fumecheng-3502	25	24	compressive	compressive	ADJ
fumecheng-3502	25	25	/	/	SYM
fumecheng-3502	25	26	tensile	tensile	NOUN
fumecheng-3502	25	27	strength	strength	NOUN
fumecheng-3502	25	28	,	,	PUNCT
fumecheng-3502	25	29	etc	etc	X
fumecheng-3502	25	30	.	.	X
fumecheng-3502	25	31	the	the	DET
fumecheng-3502	25	32	traditional	traditional	ADJ
fumecheng-3502	25	33	way	way	NOUN
fumecheng-3502	25	34	of	of	ADP
fumecheng-3502	25	35	describing	describe	VERB
fumecheng-3502	25	36	heterogeneous	heterogeneous	ADJ
fumecheng-3502	25	37	stress	stress	NOUN
fumecheng-3502	25	38	/	/	SYM
fumecheng-3502	25	39	strain	strain	NOUN
fumecheng-3502	25	40	fields	field	NOUN
fumecheng-3502	25	41	,	,	PUNCT
fumecheng-3502	25	42	based	base	VERB
fumecheng-3502	25	43	on	on	ADP
fumecheng-3502	25	44	mesh	mesh	NOUN
fumecheng-3502	25	45	refinement	refinement	NOUN
fumecheng-3502	25	46	,	,	PUNCT
fumecheng-3502	25	47	is	be	AUX
fumecheng-3502	25	48	not	not	PART
fumecheng-3502	25	49	applicable	applicable	ADJ
fumecheng-3502	25	50	to	to	ADP
fumecheng-3502	25	51	problems	problem	NOUN
fumecheng-3502	25	52	where	where	SCONJ
fumecheng-3502	25	53	“	"	PUNCT
fumecheng-3502	25	54	quasi	quasi	ADJ
fumecheng-3502	25	55	-	-	ADJ
fumecheng-3502	25	56	infinite	infinite	ADJ
fumecheng-3502	25	57	”	"	PUNCT
fumecheng-3502	25	58	local	local	ADJ
fumecheng-3502	25	59	values	value	NOUN
fumecheng-3502	25	60	of	of	ADP
fumecheng-3502	25	61	stresses	stress	NOUN
fumecheng-3502	25	62	can	can	AUX
fumecheng-3502	25	63	occur	occur	VERB
fumecheng-3502	25	64	.	.	PUNCT
fumecheng-3502	26	1	these	these	DET
fumecheng-3502	26	2	problems	problem	NOUN
fumecheng-3502	26	3	include	include	VERB
fumecheng-3502	26	4	friction	friction	NOUN
fumecheng-3502	26	5	and	and	CCONJ
fumecheng-3502	26	6	wear	wear	NOUN
fumecheng-3502	26	7	,	,	PUNCT
fumecheng-3502	26	8	contact	contact	NOUN
fumecheng-3502	26	9	problems	problem	NOUN
fumecheng-3502	26	10	with	with	ADP
fumecheng-3502	26	11	punches	punch	NOUN
fumecheng-3502	26	12	having	have	VERB
fumecheng-3502	26	13	sharp	sharp	ADJ
fumecheng-3502	26	14	edges	edge	NOUN
fumecheng-3502	26	15	,	,	PUNCT
fumecheng-3502	26	16	etc	etc	X
fumecheng-3502	26	17	.	.	X
fumecheng-3502	26	18	in	in	ADP
fumecheng-3502	26	19	this	this	DET
fumecheng-3502	26	20	case	case	NOUN
fumecheng-3502	26	21	,	,	PUNCT
fumecheng-3502	26	22	in	in	ADP
fumecheng-3502	26	23	order	order	NOUN
fumecheng-3502	26	24	to	to	PART
fumecheng-3502	26	25	adequately	adequately	ADV
fumecheng-3502	26	26	describe	describe	VERB
fumecheng-3502	26	27	fracture	fracture	NOUN
fumecheng-3502	26	28	in	in	ADP
fumecheng-3502	26	29	numerical	numerical	ADJ
fumecheng-3502	26	30	models	model	NOUN
fumecheng-3502	26	31	,	,	PUNCT
fumecheng-3502	26	32	nonlocal	nonlocal	ADJ
fumecheng-3502	26	33	fracture	fracture	NOUN
fumecheng-3502	26	34	criteria	criterion	NOUN
fumecheng-3502	26	35	of	of	ADP
fumecheng-3502	26	36	types	type	NOUN
fumecheng-3502	26	37	(	(	PUNCT
fumecheng-3502	26	38	1	1	NUM
fumecheng-3502	26	39	)	)	PUNCT
fumecheng-3502	26	40	and	and	CCONJ
fumecheng-3502	26	41	(	(	PUNCT
fumecheng-3502	26	42	2	2	X
fumecheng-3502	26	43	)	)	PUNCT
fumecheng-3502	26	44	are	be	AUX
fumecheng-3502	26	45	widely	widely	ADV
fumecheng-3502	26	46	used	use	VERB
fumecheng-3502	26	47	.	.	PUNCT
fumecheng-3502	27	1	examples	example	NOUN
fumecheng-3502	27	2	of	of	ADP
fumecheng-3502	27	3	their	their	PRON
fumecheng-3502	27	4	applications	application	NOUN
fumecheng-3502	27	5	in	in	ADP
fumecheng-3502	27	6	the	the	DET
fumecheng-3502	27	7	finite	finite	ADJ
fumecheng-3502	27	8	-	-	ADJ
fumecheng-3502	27	9	element	element	ADJ
fumecheng-3502	27	10	method	method	NOUN
fumecheng-3502	27	11	(	(	PUNCT
fumecheng-3502	27	12	fem	fem	NOUN
fumecheng-3502	27	13	)	)	PUNCT
fumecheng-3502	27	14	can	can	AUX
fumecheng-3502	27	15	be	be	AUX
fumecheng-3502	27	16	found	find	VERB
fumecheng-3502	27	17	in	in	ADP
fumecheng-3502	27	18	papers	paper	NOUN
fumecheng-3502	27	19	[	[	X
fumecheng-3502	27	20	13	13	NUM
fumecheng-3502	27	21	,	,	PUNCT
fumecheng-3502	27	22	14	14	NUM
fumecheng-3502	27	23	]	]	PUNCT
fumecheng-3502	27	24	and	and	CCONJ
fumecheng-3502	27	25	in	in	ADP
fumecheng-3502	27	26	many	many	ADJ
fumecheng-3502	27	27	others	other	NOUN
fumecheng-3502	27	28	.	.	PUNCT
fumecheng-3502	28	1	recently	recently	ADV
fumecheng-3502	28	2	,	,	PUNCT
fumecheng-3502	28	3	popov	popov	PROPN
fumecheng-3502	28	4	and	and	CCONJ
fumecheng-3502	28	5	pohrt	pohrt	NOUN
fumecheng-3502	28	6	have	have	AUX
fumecheng-3502	28	7	suggested	suggest	VERB
fumecheng-3502	28	8	a	a	DET
fumecheng-3502	28	9	mesh	mesh	NOUN
fumecheng-3502	28	10	-	-	PUNCT
fumecheng-3502	28	11	dependent	dependent	ADJ
fumecheng-3502	28	12	detachment	detachment	NOUN
fumecheng-3502	28	13	criterion	criterion	NOUN
fumecheng-3502	28	14	in	in	ADP
fumecheng-3502	28	15	the	the	DET
fumecheng-3502	28	16	boundary	boundary	ADJ
fumecheng-3502	28	17	element	element	NOUN
fumecheng-3502	28	18	method	method	NOUN
fumecheng-3502	28	19	(	(	PUNCT
fumecheng-3502	28	20	bem	bem	PROPN
fumecheng-3502	28	21	)	)	PUNCT
fumecheng-3502	28	22	for	for	ADP
fumecheng-3502	28	23	a	a	DET
fumecheng-3502	28	24	normal	normal	ADJ
fumecheng-3502	28	25	adhesive	adhesive	ADJ
fumecheng-3502	28	26	contact	contact	NOUN
fumecheng-3502	28	27	problem	problem	NOUN
fumecheng-3502	28	28	of	of	ADP
fumecheng-3502	28	29	linearly	linearly	ADV
fumecheng-3502	28	30	elastic	elastic	ADJ
fumecheng-3502	28	31	and	and	CCONJ
fumecheng-3502	28	32	power	power	NOUN
fumecheng-3502	28	33	-	-	PUNCT
fumecheng-3502	28	34	law	law	NOUN
fumecheng-3502	28	35	graded	grade	VERB
fumecheng-3502	28	36	elastic	elastic	ADJ
fumecheng-3502	28	37	materials	material	NOUN
fumecheng-3502	28	38	[	[	X
fumecheng-3502	28	39	15	15	NUM
fumecheng-3502	28	40	-	-	SYM
fumecheng-3502	28	41	17	17	NUM
fumecheng-3502	28	42	]	]	PUNCT
fumecheng-3502	28	43	.	.	PUNCT
fumecheng-3502	29	1	the	the	DET
fumecheng-3502	29	2	main	main	ADJ
fumecheng-3502	29	3	idea	idea	NOUN
fumecheng-3502	29	4	of	of	ADP
fumecheng-3502	29	5	the	the	DET
fumecheng-3502	29	6	suggested	suggest	VERB
fumecheng-3502	29	7	approach	approach	NOUN
fumecheng-3502	29	8	is	be	AUX
fumecheng-3502	29	9	a	a	DET
fumecheng-3502	29	10	modification	modification	NOUN
fumecheng-3502	29	11	of	of	ADP
fumecheng-3502	29	12	local	local	ADJ
fumecheng-3502	29	13	ultimate	ultimate	ADJ
fumecheng-3502	29	14	stress	stress	NOUN
fumecheng-3502	29	15	value	value	NOUN
fumecheng-3502	29	16	instead	instead	ADV
fumecheng-3502	29	17	of	of	ADP
fumecheng-3502	29	18	stress	stress	ADJ
fumecheng-3502	29	19	field	field	NOUN
fumecheng-3502	29	20	correction	correction	NOUN
fumecheng-3502	29	21	.	.	PUNCT
fumecheng-3502	30	1	the	the	DET
fumecheng-3502	30	2	given	give	VERB
fumecheng-3502	30	3	criterion	criterion	NOUN
fumecheng-3502	30	4	is	be	AUX
fumecheng-3502	30	5	local	local	ADJ
fumecheng-3502	30	6	and	and	CCONJ
fumecheng-3502	30	7	it	it	PRON
fumecheng-3502	30	8	allows	allow	VERB
fumecheng-3502	30	9	adequate	adequate	ADJ
fumecheng-3502	30	10	descriptions	description	NOUN
fumecheng-3502	30	11	of	of	ADP
fumecheng-3502	30	12	a	a	DET
fumecheng-3502	30	13	normal	normal	ADJ
fumecheng-3502	30	14	contact	contact	NOUN
fumecheng-3502	30	15	between	between	ADP
fumecheng-3502	30	16	an	an	DET
fumecheng-3502	30	17	elastic	elastic	ADJ
fumecheng-3502	30	18	half	half	ADJ
fumecheng-3502	30	19	-	-	PUNCT
fumecheng-3502	30	20	space	space	NOUN
fumecheng-3502	30	21	and	and	CCONJ
fumecheng-3502	30	22	a	a	DET
fumecheng-3502	30	23	rigid	rigid	ADJ
fumecheng-3502	30	24	indenter	indenter	NOUN
fumecheng-3502	30	25	in	in	ADP
fumecheng-3502	30	26	the	the	DET
fumecheng-3502	30	27	presence	presence	NOUN
fumecheng-3502	30	28	of	of	ADP
fumecheng-3502	30	29	adhesive	adhesive	ADJ
fumecheng-3502	30	30	forces	force	NOUN
fumecheng-3502	30	31	.	.	PUNCT
fumecheng-3502	31	1	despite	despite	SCONJ
fumecheng-3502	31	2	a	a	DET
fumecheng-3502	31	3	wide	wide	ADJ
fumecheng-3502	31	4	application	application	NOUN
fumecheng-3502	31	5	of	of	ADP
fumecheng-3502	31	6	non	non	ADJ
fumecheng-3502	31	7	-	-	ADJ
fumecheng-3502	31	8	local	local	ADJ
fumecheng-3502	31	9	and	and	CCONJ
fumecheng-3502	31	10	mesh	mesh	NOUN
fumecheng-3502	31	11	size	size	NOUN
fumecheng-3502	31	12	dependent	dependent	ADJ
fumecheng-3502	31	13	fracture	fracture	NOUN
fumecheng-3502	31	14	criteria	criterion	NOUN
fumecheng-3502	31	15	in	in	ADP
fumecheng-3502	31	16	continuum	continuum	PROPN
fumecheng-3502	31	17	-	-	PUNCT
fumecheng-3502	31	18	based	base	VERB
fumecheng-3502	31	19	approaches	approach	NOUN
fumecheng-3502	31	20	like	like	ADP
fumecheng-3502	31	21	fem	fem	NOUN
fumecheng-3502	31	22	,	,	PUNCT
fumecheng-3502	31	23	the	the	DET
fumecheng-3502	31	24	size	size	NOUN
fumecheng-3502	31	25	-	-	PUNCT
fumecheng-3502	31	26	dependent	dependent	ADJ
fumecheng-3502	31	27	fracture	fracture	NOUN
fumecheng-3502	31	28	criteria	criterion	NOUN
fumecheng-3502	31	29	in	in	ADP
fumecheng-3502	31	30	dem	dem	PROPN
fumecheng-3502	31	31	still	still	ADV
fumecheng-3502	31	32	remain	remain	VERB
fumecheng-3502	31	33	much	much	ADV
fumecheng-3502	31	34	less	less	ADV
fumecheng-3502	31	35	studied	study	VERB
fumecheng-3502	31	36	[	[	PUNCT
fumecheng-3502	31	37	18	18	NUM
fumecheng-3502	31	38	]	]	PUNCT
fumecheng-3502	31	39	.	.	PUNCT
fumecheng-3502	32	1	in	in	ADP
fumecheng-3502	32	2	the	the	DET
fumecheng-3502	32	3	paper	paper	NOUN
fumecheng-3502	32	4	we	we	PRON
fumecheng-3502	32	5	study	study	VERB
fumecheng-3502	32	6	the	the	DET
fumecheng-3502	32	7	relation	relation	NOUN
fumecheng-3502	32	8	between	between	ADP
fumecheng-3502	32	9	tensile	tensile	NOUN
fumecheng-3502	32	10	and	and	CCONJ
fumecheng-3502	32	11	shear	shear	NOUN
fumecheng-3502	32	12	contact	contact	NOUN
fumecheng-3502	32	13	strength	strength	NOUN
fumecheng-3502	32	14	and	and	CCONJ
fumecheng-3502	32	15	a	a	DET
fumecheng-3502	32	16	discrete	discrete	ADJ
fumecheng-3502	32	17	element	element	NOUN
fumecheng-3502	32	18	size	size	NOUN
fumecheng-3502	32	19	.	.	PUNCT
fumecheng-3502	33	1	hereinafter	hereinafter	VERB
fumecheng-3502	33	2	the	the	DET
fumecheng-3502	33	3	term	term	NOUN
fumecheng-3502	33	4	“	"	PUNCT
fumecheng-3502	33	5	contact	contact	NOUN
fumecheng-3502	33	6	strength	strength	NOUN
fumecheng-3502	33	7	”	"	PUNCT
fumecheng-3502	33	8	means	mean	VERB
fumecheng-3502	33	9	a	a	DET
fumecheng-3502	33	10	maximal	maximal	ADJ
fumecheng-3502	33	11	value	value	NOUN
fumecheng-3502	33	12	of	of	ADP
fumecheng-3502	33	13	a	a	DET
fumecheng-3502	33	14	force	force	NOUN
fumecheng-3502	33	15	divided	divide	VERB
fumecheng-3502	33	16	to	to	ADP
fumecheng-3502	33	17	the	the	DET
fumecheng-3502	33	18	contact	contact	NOUN
fumecheng-3502	33	19	square	square	NOUN
fumecheng-3502	33	20	that	that	PRON
fumecheng-3502	33	21	is	be	AUX
fumecheng-3502	33	22	required	require	VERB
fumecheng-3502	33	23	to	to	PART
fumecheng-3502	33	24	detach	detach	VERB
fumecheng-3502	33	25	the	the	DET
fumecheng-3502	33	26	contacting	contact	VERB
fumecheng-3502	33	27	bodies	body	NOUN
fumecheng-3502	33	28	.	.	PUNCT
fumecheng-3502	34	1	based	base	VERB
fumecheng-3502	34	2	on	on	ADP
fumecheng-3502	34	3	the	the	DET
fumecheng-3502	34	4	obtained	obtain	VERB
fumecheng-3502	34	5	results	result	NOUN
fumecheng-3502	34	6	,	,	PUNCT
fumecheng-3502	34	7	we	we	PRON
fumecheng-3502	34	8	suggest	suggest	VERB
fumecheng-3502	34	9	a	a	DET
fumecheng-3502	34	10	mesh	mesh	NOUN
fumecheng-3502	34	11	-	-	PUNCT
fumecheng-3502	34	12	dependent	dependent	ADJ
fumecheng-3502	34	13	local	local	ADJ
fumecheng-3502	34	14	fracture	fracture	NOUN
fumecheng-3502	34	15	criterion	criterion	NOUN
fumecheng-3502	34	16	which	which	PRON
fumecheng-3502	34	17	allows	allow	VERB
fumecheng-3502	34	18	us	we	PRON
fumecheng-3502	34	19	to	to	PART
fumecheng-3502	34	20	overcome	overcome	VERB
fumecheng-3502	34	21	the	the	DET
fumecheng-3502	34	22	mentioned	mention	VERB
fumecheng-3502	34	23	problem	problem	NOUN
fumecheng-3502	34	24	,	,	PUNCT
fumecheng-3502	34	25	namely	namely	ADV
fumecheng-3502	34	26	to	to	PART
fumecheng-3502	34	27	avoid	avoid	VERB
fumecheng-3502	34	28	dependence	dependence	NOUN
fumecheng-3502	34	29	of	of	ADP
fumecheng-3502	34	30	the	the	DET
fumecheng-3502	34	31	contact	contact	NOUN
fumecheng-3502	34	32	strength	strength	NOUN
fumecheng-3502	34	33	on	on	ADP
fumecheng-3502	34	34	element	element	ADJ
fumecheng-3502	34	35	size	size	NOUN
fumecheng-3502	34	36	.	.	PUNCT
fumecheng-3502	35	1	simulation	simulation	NOUN
fumecheng-3502	35	2	of	of	ADP
fumecheng-3502	35	3	fracture	fracture	NOUN
fumecheng-3502	35	4	using	use	VERB
fumecheng-3502	35	5	a	a	DET
fumecheng-3502	35	6	mesh	mesh	NOUN
fumecheng-3502	35	7	-	-	PUNCT
fumecheng-3502	35	8	dependent	dependent	ADJ
fumecheng-3502	35	9	fracture	fracture	NOUN
fumecheng-3502	35	10	criterion	criterion	NOUN
fumecheng-3502	35	11	in	in	ADP
fumecheng-3502	35	12	a	a	DET
fumecheng-3502	35	13	discrete	discrete	ADJ
fumecheng-3502	35	14	element	element	NOUN
fumecheng-3502	35	15	method	method	NOUN
fumecheng-3502	35	16	43	43	NUM
fumecheng-3502	35	17	2	2	NUM
fumecheng-3502	35	18	.	.	PUNCT
fumecheng-3502	36	1	formulation	formulation	NOUN
fumecheng-3502	36	2	of	of	ADP
fumecheng-3502	36	3	the	the	DET
fumecheng-3502	36	4	problem	problem	NOUN
fumecheng-3502	36	5	let	let	VERB
fumecheng-3502	36	6	us	we	PRON
fumecheng-3502	36	7	consider	consider	VERB
fumecheng-3502	36	8	a	a	DET
fumecheng-3502	36	9	contact	contact	NOUN
fumecheng-3502	36	10	between	between	ADP
fumecheng-3502	36	11	an	an	DET
fumecheng-3502	36	12	elastic	elastic	ADJ
fumecheng-3502	36	13	half	half	ADJ
fumecheng-3502	36	14	-	-	PUNCT
fumecheng-3502	36	15	space	space	NOUN
fumecheng-3502	36	16	and	and	CCONJ
fumecheng-3502	36	17	an	an	DET
fumecheng-3502	36	18	elastic	elastic	ADJ
fumecheng-3502	36	19	punch	punch	NOUN
fumecheng-3502	36	20	,	,	PUNCT
fumecheng-3502	36	21	which	which	PRON
fumecheng-3502	36	22	are	be	AUX
fumecheng-3502	36	23	initially	initially	ADV
fumecheng-3502	36	24	bonded	bond	VERB
fumecheng-3502	36	25	(	(	PUNCT
fumecheng-3502	36	26	see	see	VERB
fumecheng-3502	36	27	fig	fig	NOUN
fumecheng-3502	36	28	.	.	PUNCT
fumecheng-3502	37	1	1	1	NUM
fumecheng-3502	37	2	)	)	PUNCT
fumecheng-3502	37	3	.	.	PUNCT
fumecheng-3502	38	1	we	we	PRON
fumecheng-3502	38	2	study	study	VERB
fumecheng-3502	38	3	dependence	dependence	NOUN
fumecheng-3502	38	4	of	of	ADP
fumecheng-3502	38	5	the	the	DET
fumecheng-3502	38	6	contact	contact	NOUN
fumecheng-3502	38	7	tensile	tensile	NOUN
fumecheng-3502	38	8	strength	strength	NOUN
fumecheng-3502	38	9	on	on	ADP
fumecheng-3502	38	10	element	element	ADJ
fumecheng-3502	38	11	size	size	NOUN
fumecheng-3502	38	12	d.	d.	PROPN
fumecheng-3502	38	13	a	a	DET
fumecheng-3502	38	14	displacement	displacement	NOUN
fumecheng-3502	38	15	with	with	ADP
fumecheng-3502	38	16	constant	constant	ADJ
fumecheng-3502	38	17	vertical	vertical	ADJ
fumecheng-3502	38	18	velocity	velocity	NOUN
fumecheng-3502	38	19	is	be	AUX
fumecheng-3502	38	20	applied	apply	VERB
fumecheng-3502	38	21	to	to	ADP
fumecheng-3502	38	22	the	the	DET
fumecheng-3502	38	23	upper	upper	ADJ
fumecheng-3502	38	24	layer	layer	NOUN
fumecheng-3502	38	25	of	of	ADP
fumecheng-3502	38	26	the	the	DET
fumecheng-3502	38	27	punch	punch	NOUN
fumecheng-3502	38	28	while	while	SCONJ
fumecheng-3502	38	29	the	the	DET
fumecheng-3502	38	30	lower	low	ADJ
fumecheng-3502	38	31	layer	layer	NOUN
fumecheng-3502	38	32	of	of	ADP
fumecheng-3502	38	33	the	the	DET
fumecheng-3502	38	34	half	half	ADJ
fumecheng-3502	38	35	-	-	PUNCT
fumecheng-3502	38	36	space	space	NOUN
fumecheng-3502	38	37	is	be	AUX
fumecheng-3502	38	38	fixed	fix	VERB
fumecheng-3502	38	39	in	in	ADP
fumecheng-3502	38	40	vertical	vertical	ADJ
fumecheng-3502	38	41	direction	direction	NOUN
fumecheng-3502	38	42	.	.	PUNCT
fumecheng-3502	39	1	horizontal	horizontal	ADJ
fumecheng-3502	39	2	motions	motion	NOUN
fumecheng-3502	39	3	of	of	ADP
fumecheng-3502	39	4	elements	element	NOUN
fumecheng-3502	39	5	of	of	ADP
fumecheng-3502	39	6	the	the	DET
fumecheng-3502	39	7	top	top	ADJ
fumecheng-3502	39	8	boundary	boundary	NOUN
fumecheng-3502	39	9	of	of	ADP
fumecheng-3502	39	10	the	the	DET
fumecheng-3502	39	11	punch	punch	NOUN
fumecheng-3502	39	12	and	and	CCONJ
fumecheng-3502	39	13	the	the	DET
fumecheng-3502	39	14	bottom	bottom	ADJ
fumecheng-3502	39	15	boundary	boundary	NOUN
fumecheng-3502	39	16	of	of	ADP
fumecheng-3502	39	17	the	the	DET
fumecheng-3502	39	18	halfspace	halfspace	NOUN
fumecheng-3502	39	19	are	be	AUX
fumecheng-3502	39	20	allowed	allow	VERB
fumecheng-3502	39	21	.	.	PUNCT
fumecheng-3502	40	1	the	the	DET
fumecheng-3502	40	2	materials	material	NOUN
fumecheng-3502	40	3	of	of	ADP
fumecheng-3502	40	4	the	the	DET
fumecheng-3502	40	5	punch	punch	NOUN
fumecheng-3502	40	6	and	and	CCONJ
fumecheng-3502	40	7	the	the	DET
fumecheng-3502	40	8	half	half	ADJ
fumecheng-3502	40	9	-	-	PUNCT
fumecheng-3502	40	10	space	space	NOUN
fumecheng-3502	40	11	are	be	AUX
fumecheng-3502	40	12	considered	consider	VERB
fumecheng-3502	40	13	linearly	linearly	ADV
fumecheng-3502	40	14	elastic	elastic	ADJ
fumecheng-3502	40	15	.	.	PUNCT
fumecheng-3502	41	1	we	we	PRON
fumecheng-3502	41	2	used	use	VERB
fumecheng-3502	41	3	the	the	DET
fumecheng-3502	41	4	movable	movable	ADJ
fumecheng-3502	41	5	cellular	cellular	ADJ
fumecheng-3502	41	6	automaton	automaton	NOUN
fumecheng-3502	41	7	method	method	NOUN
fumecheng-3502	41	8	(	(	PUNCT
fumecheng-3502	41	9	mca	mca	PROPN
fumecheng-3502	41	10	)	)	PUNCT
fumecheng-3502	42	1	[	[	X
fumecheng-3502	42	2	19	19	NUM
fumecheng-3502	42	3	-	-	SYM
fumecheng-3502	42	4	21	21	NUM
fumecheng-3502	42	5	]	]	PUNCT
fumecheng-3502	42	6	which	which	PRON
fumecheng-3502	42	7	is	be	AUX
fumecheng-3502	42	8	a	a	DET
fumecheng-3502	42	9	dem	dem	ADJ
fumecheng-3502	42	10	family	family	NOUN
fumecheng-3502	42	11	representative	representative	NOUN
fumecheng-3502	42	12	with	with	ADP
fumecheng-3502	42	13	multi	multi	ADJ
fumecheng-3502	42	14	-	-	ADJ
fumecheng-3502	42	15	particle	particle	ADJ
fumecheng-3502	42	16	distinct	distinct	ADJ
fumecheng-3502	42	17	element	element	NOUN
fumecheng-3502	42	18	formulation	formulation	NOUN
fumecheng-3502	42	19	of	of	ADP
fumecheng-3502	42	20	the	the	DET
fumecheng-3502	42	21	equations	equation	NOUN
fumecheng-3502	42	22	of	of	ADP
fumecheng-3502	42	23	elasticity	elasticity	NOUN
fumecheng-3502	42	24	and	and	CCONJ
fumecheng-3502	42	25	motion	motion	NOUN
fumecheng-3502	42	26	.	.	PUNCT
fumecheng-3502	43	1	fig	fig	NOUN
fumecheng-3502	43	2	.	.	PUNCT
fumecheng-3502	44	1	1	1	NUM
fumecheng-3502	44	2	schematic	schematic	ADJ
fumecheng-3502	44	3	of	of	ADP
fumecheng-3502	44	4	the	the	DET
fumecheng-3502	44	5	simulated	simulated	ADJ
fumecheng-3502	44	6	sample	sample	NOUN
fumecheng-3502	44	7	;	;	PUNCT
fumecheng-3502	45	1	element	element	NOUN
fumecheng-3502	45	2	size	size	NOUN
fumecheng-3502	45	3	d=0.001	d=0.001	PUNCT
fumecheng-3502	45	4	m	m	VERB
fumecheng-3502	45	5	the	the	DET
fumecheng-3502	45	6	elastic	elastic	ADJ
fumecheng-3502	45	7	modulus	modulus	NOUN
fumecheng-3502	45	8	of	of	ADP
fumecheng-3502	45	9	the	the	DET
fumecheng-3502	45	10	half	half	ADJ
fumecheng-3502	45	11	-	-	PUNCT
fumecheng-3502	45	12	space	space	NOUN
fumecheng-3502	45	13	was	be	AUX
fumecheng-3502	45	14	ehalf	ehalf	NOUN
fumecheng-3502	45	15	-	-	PUNCT
fumecheng-3502	45	16	space	space	NOUN
fumecheng-3502	45	17	=	=	SYM
fumecheng-3502	45	18	200	200	NUM
fumecheng-3502	45	19	gpa	gpa	NOUN
fumecheng-3502	45	20	,	,	PUNCT
fumecheng-3502	45	21	the	the	DET
fumecheng-3502	45	22	elastic	elastic	ADJ
fumecheng-3502	45	23	modulus	modulus	NOUN
fumecheng-3502	45	24	of	of	ADP
fumecheng-3502	45	25	the	the	DET
fumecheng-3502	45	26	punch	punch	NOUN
fumecheng-3502	45	27	epunch	epunch	NOUN
fumecheng-3502	45	28	was	be	AUX
fumecheng-3502	45	29	varied	varied	ADJ
fumecheng-3502	45	30	in	in	ADP
fumecheng-3502	45	31	a	a	DET
fumecheng-3502	45	32	certain	certain	ADJ
fumecheng-3502	45	33	range	range	NOUN
fumecheng-3502	45	34	in	in	ADP
fumecheng-3502	45	35	order	order	NOUN
fumecheng-3502	45	36	to	to	PART
fumecheng-3502	45	37	perform	perform	VERB
fumecheng-3502	45	38	a	a	DET
fumecheng-3502	45	39	parametric	parametric	ADJ
fumecheng-3502	45	40	study	study	NOUN
fumecheng-3502	45	41	of	of	ADP
fumecheng-3502	45	42	the	the	DET
fumecheng-3502	45	43	problem	problem	NOUN
fumecheng-3502	45	44	.	.	PUNCT
fumecheng-3502	46	1	the	the	DET
fumecheng-3502	46	2	values	value	NOUN
fumecheng-3502	46	3	of	of	ADP
fumecheng-3502	46	4	the	the	DET
fumecheng-3502	46	5	poisson	poisson	NOUN
fumecheng-3502	46	6	’s	’s	PART
fumecheng-3502	46	7	ratios	ratio	NOUN
fumecheng-3502	46	8	were	be	AUX
fumecheng-3502	46	9	νpunch	νpunch	ADJ
fumecheng-3502	46	10	=	=	PUNCT
fumecheng-3502	46	11	νhalf	νhalf	ADJ
fumecheng-3502	46	12	-	-	PUNCT
fumecheng-3502	46	13	space	space	NOUN
fumecheng-3502	46	14	=	=	NOUN
fumecheng-3502	46	15	0.3	0.3	NUM
fumecheng-3502	46	16	.	.	PUNCT
fumecheng-3502	47	1	the	the	DET
fumecheng-3502	47	2	value	value	NOUN
fumecheng-3502	47	3	of	of	ADP
fumecheng-3502	47	4	the	the	DET
fumecheng-3502	47	5	ultimate	ultimate	ADJ
fumecheng-3502	47	6	stress	stress	NOUN
fumecheng-3502	47	7	in	in	ADP
fumecheng-3502	47	8	von	von	PROPN
fumecheng-3502	47	9	mises	mises	PROPN
fumecheng-3502	47	10	fracture	fracture	PROPN
fumecheng-3502	47	11	criterion	criterion	NOUN
fumecheng-3502	47	12	was	be	AUX
fumecheng-3502	47	13	ymises	ymise	NOUN
fumecheng-3502	47	14	=	=	SYM
fumecheng-3502	47	15	200	200	NUM
fumecheng-3502	47	16	mpa	mpa	NOUN
fumecheng-3502	47	17	that	that	PRON
fumecheng-3502	47	18	leads	lead	VERB
fumecheng-3502	47	19	to	to	ADP
fumecheng-3502	47	20	relatively	relatively	ADV
fumecheng-3502	47	21	small	small	ADJ
fumecheng-3502	47	22	values	value	NOUN
fumecheng-3502	47	23	of	of	ADP
fumecheng-3502	47	24	strains	strain	NOUN
fumecheng-3502	47	25	in	in	ADP
fumecheng-3502	47	26	the	the	DET
fumecheng-3502	47	27	punch	punch	NOUN
fumecheng-3502	47	28	and	and	CCONJ
fumecheng-3502	47	29	the	the	DET
fumecheng-3502	47	30	substrate	substrate	NOUN
fumecheng-3502	47	31	at	at	ADP
fumecheng-3502	47	32	the	the	DET
fumecheng-3502	47	33	moment	moment	NOUN
fumecheng-3502	47	34	of	of	ADP
fumecheng-3502	47	35	fracture	fracture	NOUN
fumecheng-3502	47	36	.	.	PUNCT
fumecheng-3502	48	1	the	the	DET
fumecheng-3502	48	2	strain	strain	NOUN
fumecheng-3502	48	3	rate	rate	NOUN
fumecheng-3502	48	4	was	be	AUX
fumecheng-3502	48	5	of	of	ADP
fumecheng-3502	48	6	the	the	DET
fumecheng-3502	48	7	order	order	NOUN
fumecheng-3502	48	8	of	of	ADP
fumecheng-3502	48	9			PROPN
fumecheng-3502	48	10	≈	≈	PROPN
fumecheng-3502	48	11	0.3	0.3	NUM
fumecheng-3502	48	12	sec	sec	PROPN
fumecheng-3502	48	13	-1	-1	PUNCT
fumecheng-3502	48	14	that	that	PRON
fumecheng-3502	48	15	provides	provide	VERB
fumecheng-3502	48	16	a	a	DET
fumecheng-3502	48	17	quasi	quasi	ADJ
fumecheng-3502	48	18	-	-	ADJ
fumecheng-3502	48	19	static	static	ADJ
fumecheng-3502	48	20	loading	loading	NOUN
fumecheng-3502	48	21	regime	regime	NOUN
fumecheng-3502	48	22	.	.	PUNCT
fumecheng-3502	49	1	we	we	PRON
fumecheng-3502	49	2	used	use	VERB
fumecheng-3502	49	3	a	a	DET
fumecheng-3502	49	4	finite	finite	ADJ
fumecheng-3502	49	5	-	-	PUNCT
fumecheng-3502	49	6	size	size	NOUN
fumecheng-3502	49	7	punch	punch	NOUN
fumecheng-3502	49	8	and	and	CCONJ
fumecheng-3502	49	9	a	a	DET
fumecheng-3502	49	10	large	large	ADJ
fumecheng-3502	49	11	counter	counter	NOUN
fumecheng-3502	49	12	-	-	NOUN
fumecheng-3502	49	13	body	body	NOUN
fumecheng-3502	49	14	which	which	PRON
fumecheng-3502	49	15	imitates	imitate	VERB
fumecheng-3502	49	16	a	a	DET
fumecheng-3502	49	17	half	half	ADJ
fumecheng-3502	49	18	-	-	PUNCT
fumecheng-3502	49	19	space	space	NOUN
fumecheng-3502	49	20	.	.	PUNCT
fumecheng-3502	50	1	evidently	evidently	ADV
fumecheng-3502	50	2	,	,	PUNCT
fumecheng-3502	50	3	the	the	DET
fumecheng-3502	50	4	boundary	boundary	ADJ
fumecheng-3502	50	5	conditions	condition	NOUN
fumecheng-3502	50	6	produce	produce	VERB
fumecheng-3502	50	7	a	a	DET
fumecheng-3502	50	8	contribution	contribution	NOUN
fumecheng-3502	50	9	to	to	ADP
fumecheng-3502	50	10	the	the	DET
fumecheng-3502	50	11	values	value	NOUN
fumecheng-3502	50	12	of	of	ADP
fumecheng-3502	50	13	sample	sample	NOUN
fumecheng-3502	50	14	strength	strength	NOUN
fumecheng-3502	50	15	obtained	obtain	VERB
fumecheng-3502	50	16	during	during	ADP
fumecheng-3502	50	17	simulations	simulation	NOUN
fumecheng-3502	50	18	.	.	PUNCT
fumecheng-3502	51	1	in	in	ADP
fumecheng-3502	51	2	order	order	NOUN
fumecheng-3502	51	3	to	to	PART
fumecheng-3502	51	4	diminish	diminish	VERB
fumecheng-3502	51	5	influence	influence	NOUN
fumecheng-3502	51	6	of	of	ADP
fumecheng-3502	51	7	the	the	DET
fumecheng-3502	51	8	boundary	boundary	ADJ
fumecheng-3502	51	9	conditions	condition	NOUN
fumecheng-3502	51	10	we	we	PRON
fumecheng-3502	51	11	studied	study	VERB
fumecheng-3502	51	12	the	the	DET
fumecheng-3502	51	13	convergence	convergence	NOUN
fumecheng-3502	51	14	of	of	ADP
fumecheng-3502	51	15	the	the	DET
fumecheng-3502	51	16	strength	strength	NOUN
fumecheng-3502	51	17	value	value	NOUN
fumecheng-3502	51	18	when	when	SCONJ
fumecheng-3502	51	19	thickness	thickness	NOUN
fumecheng-3502	51	20	and	and	CCONJ
fumecheng-3502	51	21	height	height	NOUN
fumecheng-3502	51	22	of	of	ADP
fumecheng-3502	51	23	a	a	DET
fumecheng-3502	51	24	punch	punch	NOUN
fumecheng-3502	51	25	and	and	CCONJ
fumecheng-3502	51	26	a	a	DET
fumecheng-3502	51	27	counter	counter	NOUN
fumecheng-3502	51	28	-	-	NOUN
fumecheng-3502	51	29	body	body	NOUN
fumecheng-3502	51	30	simulating	simulate	VERB
fumecheng-3502	51	31	a	a	DET
fumecheng-3502	51	32	half	half	ADJ
fumecheng-3502	51	33	-	-	PUNCT
fumecheng-3502	51	34	space	space	NOUN
fumecheng-3502	51	35	increase	increase	NOUN
fumecheng-3502	51	36	.	.	PUNCT
fumecheng-3502	52	1	the	the	DET
fumecheng-3502	52	2	values	value	NOUN
fumecheng-3502	52	3	of	of	ADP
fumecheng-3502	52	4	thickness	thickness	NOUN
fumecheng-3502	52	5	h	h	NOUN
fumecheng-3502	52	6	and	and	CCONJ
fumecheng-3502	52	7	width	width	VERB
fumecheng-3502	52	8	w	w	NOUN
fumecheng-3502	52	9	of	of	ADP
fumecheng-3502	52	10	the	the	DET
fumecheng-3502	52	11	counter	counter	NOUN
fumecheng-3502	52	12	-	-	NOUN
fumecheng-3502	52	13	body	body	NOUN
fumecheng-3502	52	14	greater	great	ADJ
fumecheng-3502	52	15	than	than	ADP
fumecheng-3502	52	16	five	five	NUM
fumecheng-3502	52	17	widths	width	NOUN
fumecheng-3502	52	18	of	of	ADP
fumecheng-3502	52	19	the	the	DET
fumecheng-3502	52	20	punch	punch	NOUN
fumecheng-3502	52	21	2a0	2a0	NUM
fumecheng-3502	52	22	guarantee	guarantee	VERB
fumecheng-3502	52	23	convergence	convergence	NOUN
fumecheng-3502	52	24	of	of	ADP
fumecheng-3502	52	25	the	the	DET
fumecheng-3502	52	26	value	value	NOUN
fumecheng-3502	52	27	of	of	ADP
fumecheng-3502	52	28	the	the	DET
fumecheng-3502	52	29	tensile	tensile	NOUN
fumecheng-3502	52	30	strength	strength	NOUN
fumecheng-3502	52	31	and	and	CCONJ
fumecheng-3502	52	32	,	,	PUNCT
fumecheng-3502	52	33	consequently	consequently	ADV
fumecheng-3502	52	34	,	,	PUNCT
fumecheng-3502	52	35	the	the	DET
fumecheng-3502	52	36	absence	absence	NOUN
fumecheng-3502	52	37	of	of	ADP
fumecheng-3502	52	38	the	the	DET
fumecheng-3502	52	39	boundaries	boundary	NOUN
fumecheng-3502	52	40	’	'	PUNCT
fumecheng-3502	52	41	influence	influence	NOUN
fumecheng-3502	52	42	.	.	PUNCT
fumecheng-3502	53	1	punch	punch	VERB
fumecheng-3502	53	2	height	height	NOUN
fumecheng-3502	53	3	h>3a0	h>3a0	NOUN
fumecheng-3502	53	4	guarantees	guarantee	VERB
fumecheng-3502	53	5	tensile	tensile	NOUN
fumecheng-3502	53	6	strength	strength	NOUN
fumecheng-3502	53	7	being	be	AUX
fumecheng-3502	53	8	independent	independent	ADJ
fumecheng-3502	53	9	of	of	ADP
fumecheng-3502	53	10	h.	h.	PROPN
fumecheng-3502	53	11	the	the	DET
fumecheng-3502	53	12	following	follow	VERB
fumecheng-3502	53	13	values	value	NOUN
fumecheng-3502	53	14	of	of	ADP
fumecheng-3502	53	15	the	the	DET
fumecheng-3502	53	16	sizes	size	NOUN
fumecheng-3502	53	17	of	of	ADP
fumecheng-3502	53	18	the	the	DET
fumecheng-3502	53	19	punch	punch	NOUN
fumecheng-3502	53	20	and	and	CCONJ
fumecheng-3502	53	21	the	the	DET
fumecheng-3502	53	22	“	"	PUNCT
fumecheng-3502	53	23	half	half	ADJ
fumecheng-3502	53	24	-	-	PUNCT
fumecheng-3502	53	25	space	space	NOUN
fumecheng-3502	53	26	”	"	PUNCT
fumecheng-3502	53	27	were	be	AUX
fumecheng-3502	53	28	used	use	VERB
fumecheng-3502	53	29	in	in	ADP
fumecheng-3502	53	30	the	the	DET
fumecheng-3502	53	31	calculations	calculation	NOUN
fumecheng-3502	53	32	described	describe	VERB
fumecheng-3502	53	33	below	below	ADP
fumecheng-3502	53	34	:	:	PUNCT
fumecheng-3502	53	35	a0=0.01	a0=0.01	PROPN
fumecheng-3502	53	36	m	m	PROPN
fumecheng-3502	53	37	,	,	PUNCT
fumecheng-3502	53	38	h=0.03	h=0.03	PROPN
fumecheng-3502	53	39	m	m	PROPN
fumecheng-3502	53	40	,	,	PUNCT
fumecheng-3502	53	41	h=0.125	h=0.125	X
fumecheng-3502	53	42	m	m	NOUN
fumecheng-3502	53	43	,	,	PUNCT
fumecheng-3502	53	44	w=0.1	w=0.1	PRON
fumecheng-3502	53	45	m.	m.	VERB
fumecheng-3502	53	46	the	the	DET
fumecheng-3502	53	47	closed	closed	ADJ
fumecheng-3502	53	48	package	package	NOUN
fumecheng-3502	53	49	of	of	ADP
fumecheng-3502	53	50	44	44	NUM
fumecheng-3502	53	51	a.	a.	NOUN
fumecheng-3502	53	52	dimaki	dimaki	NOUN
fumecheng-3502	53	53	,	,	PUNCT
fumecheng-3502	53	54	e.	e.	PROPN
fumecheng-3502	53	55	shilko	shilko	PROPN
fumecheng-3502	53	56	,	,	PUNCT
fumecheng-3502	53	57	s.	s.	PROPN
fumecheng-3502	53	58	psakhie	psakhie	PROPN
fumecheng-3502	53	59	,	,	PUNCT
fumecheng-3502	53	60	v.	v.	ADP
fumecheng-3502	53	61	popov	popov	NOUN
fumecheng-3502	53	62	discrete	discrete	ADJ
fumecheng-3502	53	63	elements	element	NOUN
fumecheng-3502	53	64	was	be	AUX
fumecheng-3502	53	65	used	use	VERB
fumecheng-3502	53	66	.	.	PUNCT
fumecheng-3502	54	1	it	it	PRON
fumecheng-3502	54	2	should	should	AUX
fumecheng-3502	54	3	be	be	AUX
fumecheng-3502	54	4	noted	note	VERB
fumecheng-3502	54	5	that	that	SCONJ
fumecheng-3502	54	6	the	the	DET
fumecheng-3502	54	7	use	use	NOUN
fumecheng-3502	54	8	of	of	ADP
fumecheng-3502	54	9	a	a	DET
fumecheng-3502	54	10	close	close	ADV
fumecheng-3502	54	11	-	-	PUNCT
fumecheng-3502	54	12	packed	pack	VERB
fumecheng-3502	54	13	ensemble	ensemble	ADJ
fumecheng-3502	54	14	of	of	ADP
fumecheng-3502	54	15	circular	circular	ADJ
fumecheng-3502	54	16	discrete	discrete	ADJ
fumecheng-3502	54	17	elements	element	NOUN
fumecheng-3502	54	18	leads	lead	VERB
fumecheng-3502	54	19	to	to	ADP
fumecheng-3502	54	20	the	the	DET
fumecheng-3502	54	21	appearance	appearance	NOUN
fumecheng-3502	54	22	of	of	ADP
fumecheng-3502	54	23	an	an	DET
fumecheng-3502	54	24	"	"	PUNCT
fumecheng-3502	54	25	artificial	artificial	ADJ
fumecheng-3502	54	26	roughness	roughness	NOUN
fumecheng-3502	54	27	"	"	PUNCT
fumecheng-3502	54	28	on	on	ADP
fumecheng-3502	54	29	the	the	DET
fumecheng-3502	54	30	boundaries	boundary	NOUN
fumecheng-3502	54	31	of	of	ADP
fumecheng-3502	54	32	the	the	DET
fumecheng-3502	54	33	sample	sample	NOUN
fumecheng-3502	54	34	(	(	PUNCT
fumecheng-3502	54	35	see	see	VERB
fumecheng-3502	54	36	fig	fig	NOUN
fumecheng-3502	54	37	.	.	PUNCT
fumecheng-3502	55	1	1	1	NUM
fumecheng-3502	55	2	)	)	PUNCT
fumecheng-3502	55	3	.	.	PUNCT
fumecheng-3502	56	1	2.1	2.1	NUM
fumecheng-3502	56	2	.	.	PUNCT
fumecheng-3502	56	3	description	description	NOUN
fumecheng-3502	56	4	of	of	ADP
fumecheng-3502	56	5	the	the	DET
fumecheng-3502	56	6	discrete	discrete	ADJ
fumecheng-3502	56	7	element	element	NOUN
fumecheng-3502	56	8	model	model	NOUN
fumecheng-3502	56	9	in	in	ADP
fumecheng-3502	56	10	the	the	DET
fumecheng-3502	56	11	framework	framework	NOUN
fumecheng-3502	56	12	of	of	ADP
fumecheng-3502	56	13	mca	mca	PROPN
fumecheng-3502	56	14	a	a	DET
fumecheng-3502	56	15	solid	solid	ADJ
fumecheng-3502	56	16	body	body	NOUN
fumecheng-3502	56	17	is	be	AUX
fumecheng-3502	56	18	considered	consider	VERB
fumecheng-3502	56	19	as	as	ADP
fumecheng-3502	56	20	an	an	DET
fumecheng-3502	56	21	ensemble	ensemble	NOUN
fumecheng-3502	56	22	of	of	ADP
fumecheng-3502	56	23	interacting	interact	VERB
fumecheng-3502	56	24	particles	particle	NOUN
fumecheng-3502	56	25	(	(	PUNCT
fumecheng-3502	56	26	elements	element	NOUN
fumecheng-3502	56	27	)	)	PUNCT
fumecheng-3502	56	28	of	of	ADP
fumecheng-3502	56	29	finite	finite	ADJ
fumecheng-3502	56	30	size	size	NOUN
fumecheng-3502	56	31	.	.	PUNCT
fumecheng-3502	57	1	contacts	contact	NOUN
fumecheng-3502	57	2	of	of	ADP
fumecheng-3502	57	3	interacting	interact	VERB
fumecheng-3502	57	4	pairs	pair	NOUN
fumecheng-3502	57	5	of	of	ADP
fumecheng-3502	57	6	elements	element	NOUN
fumecheng-3502	57	7	are	be	AUX
fumecheng-3502	57	8	considered	consider	VERB
fumecheng-3502	57	9	to	to	PART
fumecheng-3502	57	10	be	be	AUX
fumecheng-3502	57	11	initially	initially	ADV
fumecheng-3502	57	12	bonded	bond	VERB
fumecheng-3502	57	13	that	that	SCONJ
fumecheng-3502	57	14	simulates	simulate	VERB
fumecheng-3502	57	15	a	a	DET
fumecheng-3502	57	16	consolidated	consolidated	ADJ
fumecheng-3502	57	17	solid	solid	ADJ
fumecheng-3502	57	18	,	,	PUNCT
fumecheng-3502	57	19	while	while	SCONJ
fumecheng-3502	57	20	the	the	DET
fumecheng-3502	57	21	contacts	contact	NOUN
fumecheng-3502	57	22	between	between	ADP
fumecheng-3502	57	23	crack	crack	NOUN
fumecheng-3502	57	24	faces	face	NOUN
fumecheng-3502	57	25	are	be	AUX
fumecheng-3502	57	26	considered	consider	VERB
fumecheng-3502	57	27	as	as	ADP
fumecheng-3502	57	28	unbonded	unbonde	VERB
fumecheng-3502	57	29	.	.	PUNCT
fumecheng-3502	58	1	switching	switch	VERB
fumecheng-3502	58	2	between	between	ADP
fumecheng-3502	58	3	bonded	bond	VERB
fumecheng-3502	58	4	and	and	CCONJ
fumecheng-3502	58	5	unbounded	unbounded	ADJ
fumecheng-3502	58	6	states	state	NOUN
fumecheng-3502	58	7	occurs	occur	VERB
fumecheng-3502	58	8	when	when	SCONJ
fumecheng-3502	58	9	a	a	DET
fumecheng-3502	58	10	given	give	VERB
fumecheng-3502	58	11	fracture	fracture	NOUN
fumecheng-3502	58	12	or	or	CCONJ
fumecheng-3502	58	13	linkage	linkage	NOUN
fumecheng-3502	58	14	criterion	criterion	NOUN
fumecheng-3502	58	15	is	be	AUX
fumecheng-3502	58	16	satisfied	satisfied	ADJ
fumecheng-3502	58	17	.	.	PUNCT
fumecheng-3502	59	1	interaction	interaction	NOUN
fumecheng-3502	59	2	between	between	ADP
fumecheng-3502	59	3	the	the	DET
fumecheng-3502	59	4	contacting	contact	VERB
fumecheng-3502	59	5	elements	element	NOUN
fumecheng-3502	59	6	(	(	PUNCT
fumecheng-3502	59	7	either	either	CCONJ
fumecheng-3502	59	8	bonded	bond	VERB
fumecheng-3502	59	9	or	or	CCONJ
fumecheng-3502	59	10	unbonded	unbonde	VERB
fumecheng-3502	59	11	)	)	PUNCT
fumecheng-3502	59	12	is	be	AUX
fumecheng-3502	59	13	realized	realize	VERB
fumecheng-3502	59	14	through	through	ADP
fumecheng-3502	59	15	their	their	PRON
fumecheng-3502	59	16	common	common	ADJ
fumecheng-3502	59	17	plane	plane	NOUN
fumecheng-3502	59	18	faces	face	VERB
fumecheng-3502	59	19	.	.	PUNCT
fumecheng-3502	60	1	the	the	DET
fumecheng-3502	60	2	evolution	evolution	NOUN
fumecheng-3502	60	3	of	of	ADP
fumecheng-3502	60	4	an	an	DET
fumecheng-3502	60	5	ensemble	ensemble	NOUN
fumecheng-3502	60	6	of	of	ADP
fumecheng-3502	60	7	discrete	discrete	ADJ
fumecheng-3502	60	8	elements	element	NOUN
fumecheng-3502	60	9	is	be	AUX
fumecheng-3502	60	10	defined	define	VERB
fumecheng-3502	60	11	by	by	ADP
fumecheng-3502	60	12	a	a	DET
fumecheng-3502	60	13	numerical	numerical	ADJ
fumecheng-3502	60	14	solution	solution	NOUN
fumecheng-3502	60	15	of	of	ADP
fumecheng-3502	60	16	the	the	DET
fumecheng-3502	60	17	system	system	NOUN
fumecheng-3502	60	18	of	of	ADP
fumecheng-3502	60	19	newton	newton	PROPN
fumecheng-3502	60	20	-	-	PUNCT
fumecheng-3502	60	21	euler	euler	PROPN
fumecheng-3502	60	22	equations	equation	NOUN
fumecheng-3502	60	23	of	of	ADP
fumecheng-3502	60	24	motion	motion	NOUN
fumecheng-3502	60	25	:	:	PUNCT
fumecheng-3502	60	26	2	2	NUM
fumecheng-3502	60	27	2	2	NUM
fumecheng-3502	60	28	1	1	NUM
fumecheng-3502	60	29	1	1	NUM
fumecheng-3502	60	30	(	(	PUNCT
fumecheng-3502	60	31	)	)	PUNCT
fumecheng-3502	61	1	i	i	PRON
fumecheng-3502	61	2	i	i	PRON
fumecheng-3502	61	3	n	n	VERB
fumecheng-3502	61	4	ni	ni	VERB
fumecheng-3502	62	1	i	i	INTJ
fumecheng-3502	62	2	i	i	PRON
fumecheng-3502	63	1	i	i	PRON
fumecheng-3502	63	2	ij	ij	INTJ
fumecheng-3502	64	1	ij	ij	INTJ
fumecheng-3502	64	2	j	j	PROPN
fumecheng-3502	65	1	n	n	CCONJ
fumecheng-3502	65	2	i	i	PRON
fumecheng-3502	66	1	i	i	PRON
fumecheng-3502	66	2	ij	ij	VERB
fumecheng-3502	66	3	j	j	PROPN
fumecheng-3502	67	1	d	d	NOUN
fumecheng-3502	67	2	r	r	PROPN
fumecheng-3502	67	3	dv	dv	PROPN
fumecheng-3502	67	4	m	m	PROPN
fumecheng-3502	67	5	m	m	VERB
fumecheng-3502	67	6	f	f	NOUN
fumecheng-3502	67	7	f	f	NOUN
fumecheng-3502	67	8	dtdt	dtdt	NOUN
fumecheng-3502	67	9	d	d	X
fumecheng-3502	67	10	mj	mj	NOUN
fumecheng-3502	67	11	dt	dt	PROPN
fumecheng-3502	67	12			PROPN
fumecheng-3502	67	13			PROPN
fumecheng-3502	68	1			ADJ
fumecheng-3502	68	2			ADP
fumecheng-3502	69	1			NUM
fumecheng-3502	70	1			ADJ
fumecheng-3502	70	2			NOUN
fumecheng-3502	70	3			NUM
fumecheng-3502	70	4			NUM
fumecheng-3502	70	5			PART
fumecheng-3502	70	6			VERB
fumecheng-3502	70	7			X
fumecheng-3502	70	8			X
fumecheng-3502	70	9			X
fumecheng-3502	70	10	,	,	PUNCT
fumecheng-3502	70	11	(	(	PUNCT
fumecheng-3502	70	12	3	3	X
fumecheng-3502	70	13	)	)	PUNCT
fumecheng-3502	70	14	where	where	SCONJ
fumecheng-3502	70	15	ir	ir	PROPN
fumecheng-3502	70	16	,	,	PUNCT
fumecheng-3502	70	17	iv	iv	PROPN
fumecheng-3502	71	1	and	and	CCONJ
fumecheng-3502	71	2	i	i	PROPN
fumecheng-3502	71	3	are	be	AUX
fumecheng-3502	71	4	the	the	DET
fumecheng-3502	71	5	radius	radius	NOUN
fumecheng-3502	71	6	-	-	PUNCT
fumecheng-3502	71	7	vector	vector	NOUN
fumecheng-3502	71	8	,	,	PUNCT
fumecheng-3502	71	9	velocity	velocity	NOUN
fumecheng-3502	71	10	vector	vector	NOUN
fumecheng-3502	71	11	and	and	CCONJ
fumecheng-3502	71	12	angular	angular	ADJ
fumecheng-3502	71	13	velocity	velocity	NOUN
fumecheng-3502	71	14	of	of	ADP
fumecheng-3502	71	15	discrete	discrete	ADJ
fumecheng-3502	71	16	element	element	NOUN
fumecheng-3502	71	17	i	i	PRON
fumecheng-3502	71	18	,	,	PUNCT
fumecheng-3502	71	19	mi	mi	PROPN
fumecheng-3502	71	20	is	be	AUX
fumecheng-3502	71	21	the	the	DET
fumecheng-3502	71	22	element	element	NOUN
fumecheng-3502	71	23	mass	mass	NOUN
fumecheng-3502	71	24	,	,	PUNCT
fumecheng-3502	71	25	ji	ji	PROPN
fumecheng-3502	71	26	is	be	AUX
fumecheng-3502	71	27	the	the	DET
fumecheng-3502	71	28	moment	moment	NOUN
fumecheng-3502	71	29	of	of	ADP
fumecheng-3502	71	30	inertia	inertia	NOUN
fumecheng-3502	71	31	of	of	ADP
fumecheng-3502	71	32	an	an	DET
fumecheng-3502	71	33	equivalent	equivalent	ADJ
fumecheng-3502	71	34	disc	disc	NOUN
fumecheng-3502	71	35	or	or	CCONJ
fumecheng-3502	71	36	sphere	sphere	NOUN
fumecheng-3502	71	37	,	,	PUNCT
fumecheng-3502	71	38	n	n	CCONJ
fumecheng-3502	71	39	ijf	ijf	NOUN
fumecheng-3502	71	40	and	and	CCONJ
fumecheng-3502	71	41	ijf	ijf	PROPN
fumecheng-3502	71	42			NOUN
fumecheng-3502	71	43	are	be	AUX
fumecheng-3502	71	44	the	the	DET
fumecheng-3502	71	45	forces	force	NOUN
fumecheng-3502	71	46	of	of	ADP
fumecheng-3502	71	47	central	central	ADJ
fumecheng-3502	71	48	(	(	PUNCT
fumecheng-3502	71	49	normal	normal	ADJ
fumecheng-3502	71	50	)	)	PUNCT
fumecheng-3502	71	51	and	and	CCONJ
fumecheng-3502	71	52	tangential	tangential	ADJ
fumecheng-3502	71	53	interaction	interaction	NOUN
fumecheng-3502	71	54	between	between	ADP
fumecheng-3502	71	55	element	element	NOUN
fumecheng-3502	71	56	i	i	PROPN
fumecheng-3502	71	57	and	and	CCONJ
fumecheng-3502	71	58	its	its	PRON
fumecheng-3502	71	59	neighbor	neighbor	NOUN
fumecheng-3502	71	60	j	j	PROPN
fumecheng-3502	71	61	,	,	PUNCT
fumecheng-3502	71	62	and	and	CCONJ
fumecheng-3502	72	1	ij	ij	INTJ
fumecheng-3502	72	2	ij	ij	INTJ
fumecheng-3502	72	3	ij	ij	INTJ
fumecheng-3502	72	4	ijm	ijm	PROPN
fumecheng-3502	72	5	q	q	PROPN
fumecheng-3502	72	6	n	n	PROPN
fumecheng-3502	72	7	f	f	PROPN
fumecheng-3502	72	8			VERB
fumecheng-3502	72	9			NOUN
fumecheng-3502	72	10	is	be	AUX
fumecheng-3502	72	11	the	the	DET
fumecheng-3502	72	12	torque	torque	NOUN
fumecheng-3502	72	13	.	.	PUNCT
fumecheng-3502	73	1	equation	equation	NOUN
fumecheng-3502	73	2	(	(	PUNCT
fumecheng-3502	73	3	3	3	X
fumecheng-3502	73	4	)	)	PUNCT
fumecheng-3502	73	5	describes	describe	VERB
fumecheng-3502	73	6	translational	translational	ADJ
fumecheng-3502	73	7	and	and	CCONJ
fumecheng-3502	73	8	rotational	rotational	ADJ
fumecheng-3502	73	9	motion	motion	NOUN
fumecheng-3502	73	10	of	of	ADP
fumecheng-3502	73	11	the	the	DET
fumecheng-3502	73	12	discrete	discrete	ADJ
fumecheng-3502	73	13	elements	element	NOUN
fumecheng-3502	73	14	having	have	VERB
fumecheng-3502	73	15	a	a	DET
fumecheng-3502	73	16	finite	finite	ADJ
fumecheng-3502	73	17	size	size	NOUN
fumecheng-3502	73	18	.	.	PUNCT
fumecheng-3502	74	1	both	both	CCONJ
fumecheng-3502	74	2	the	the	DET
fumecheng-3502	74	3	constituents	constituent	NOUN
fumecheng-3502	74	4	(	(	PUNCT
fumecheng-3502	74	5	n	n	CCONJ
fumecheng-3502	74	6	ijf	ijf	NOUN
fumecheng-3502	74	7	and	and	CCONJ
fumecheng-3502	74	8	ijf	ijf	NOUN
fumecheng-3502	74	9			PROPN
fumecheng-3502	74	10	)	)	PUNCT
fumecheng-3502	74	11	of	of	ADP
fumecheng-3502	74	12	the	the	DET
fumecheng-3502	74	13	interaction	interaction	NOUN
fumecheng-3502	74	14	force	force	NOUN
fumecheng-3502	74	15	between	between	ADP
fumecheng-3502	74	16	discrete	discrete	ADJ
fumecheng-3502	74	17	elements	element	NOUN
fumecheng-3502	74	18	i	i	PRON
fumecheng-3502	74	19	and	and	CCONJ
fumecheng-3502	74	20	j	j	PROPN
fumecheng-3502	74	21	in	in	ADP
fumecheng-3502	74	22	eq	eq	ADP
fumecheng-3502	74	23	.	.	PUNCT
fumecheng-3502	74	24	(	(	PUNCT
fumecheng-3502	74	25	3	3	X
fumecheng-3502	74	26	)	)	PUNCT
fumecheng-3502	74	27	include	include	VERB
fumecheng-3502	74	28	potential	potential	NOUN
fumecheng-3502	74	29	(	(	PUNCT
fumecheng-3502	74	30	np	np	INTJ
fumecheng-3502	74	31	ijf	ijf	NOUN
fumecheng-3502	74	32	and	and	CCONJ
fumecheng-3502	74	33	p	p	NOUN
fumecheng-3502	74	34	ijf	ijf	NOUN
fumecheng-3502	74	35			NOUN
fumecheng-3502	74	36	)	)	PUNCT
fumecheng-3502	74	37	and	and	CCONJ
fumecheng-3502	74	38	dissipative	dissipative	NOUN
fumecheng-3502	74	39	/	/	SYM
fumecheng-3502	74	40	viscous	viscous	NOUN
fumecheng-3502	74	41	(	(	PUNCT
fumecheng-3502	74	42	nv	nv	PROPN
fumecheng-3502	74	43	ijf	ijf	PROPN
fumecheng-3502	74	44	and	and	CCONJ
fumecheng-3502	74	45	v	v	ADP
fumecheng-3502	74	46	ijf	ijf	NOUN
fumecheng-3502	74	47			NOUN
fumecheng-3502	74	48	)	)	PUNCT
fumecheng-3502	74	49	contributions	contribution	NOUN
fumecheng-3502	74	50	[	[	X
fumecheng-3502	74	51	19	19	NUM
fumecheng-3502	74	52	]	]	X
fumecheng-3502	74	53	:	:	PUNCT
fumecheng-3502	74	54	n	n	CCONJ
fumecheng-3502	74	55	np	np	INTJ
fumecheng-3502	74	56	nv	nv	PROPN
fumecheng-3502	75	1	ij	ij	INTJ
fumecheng-3502	76	1	ij	ij	INTJ
fumecheng-3502	77	1	ij	ij	INTJ
fumecheng-3502	77	2	p	p	X
fumecheng-3502	78	1	v	v	NUM
fumecheng-3502	78	2	ij	ij	INTJ
fumecheng-3502	78	3	ij	ij	INTJ
fumecheng-3502	78	4	ij	ij	INTJ
fumecheng-3502	79	1	f	f	PROPN
fumecheng-3502	79	2	f	f	PROPN
fumecheng-3502	80	1	f	f	PROPN
fumecheng-3502	80	2	f	f	PROPN
fumecheng-3502	80	3	f	f	PROPN
fumecheng-3502	80	4	f	f	PROPN
fumecheng-3502	80	5			NOUN
fumecheng-3502	80	6			VERB
fumecheng-3502	80	7			ADP
fumecheng-3502	80	8			PRON
fumecheng-3502	80	9			NOUN
fumecheng-3502	80	10			NUM
fumecheng-3502	80	11			NOUN
fumecheng-3502	80	12			PROPN
fumecheng-3502	80	13	.	.	PUNCT
fumecheng-3502	81	1	(	(	PUNCT
fumecheng-3502	81	2	4	4	X
fumecheng-3502	81	3	)	)	PUNCT
fumecheng-3502	81	4	as	as	SCONJ
fumecheng-3502	81	5	follows	follow	VERB
fumecheng-3502	81	6	from	from	ADP
fumecheng-3502	81	7	eq	eq	ADP
fumecheng-3502	81	8	.	.	PUNCT
fumecheng-3502	82	1	(	(	PUNCT
fumecheng-3502	82	2	4	4	NUM
fumecheng-3502	82	3	)	)	PUNCT
fumecheng-3502	82	4	,	,	PUNCT
fumecheng-3502	82	5	the	the	DET
fumecheng-3502	82	6	value	value	NOUN
fumecheng-3502	82	7	of	of	ADP
fumecheng-3502	82	8	torque	torque	NOUN
fumecheng-3502	82	9	ijm	ijm	PROPN
fumecheng-3502	82	10	includes	include	VERB
fumecheng-3502	82	11	both	both	CCONJ
fumecheng-3502	82	12	potential	potential	ADJ
fumecheng-3502	82	13	and	and	CCONJ
fumecheng-3502	82	14	dissipative	dissipative	ADJ
fumecheng-3502	82	15	constituents	constituent	NOUN
fumecheng-3502	82	16	.	.	PUNCT
fumecheng-3502	83	1	the	the	DET
fumecheng-3502	83	2	major	major	ADJ
fumecheng-3502	83	3	features	feature	NOUN
fumecheng-3502	83	4	of	of	ADP
fumecheng-3502	83	5	the	the	DET
fumecheng-3502	83	6	mca	mca	PROPN
fumecheng-3502	83	7	method	method	NOUN
fumecheng-3502	83	8	are	be	AUX
fumecheng-3502	83	9	the	the	DET
fumecheng-3502	83	10	approximation	approximation	NOUN
fumecheng-3502	83	11	of	of	ADP
fumecheng-3502	83	12	a	a	DET
fumecheng-3502	83	13	homogeneous	homogeneous	ADJ
fumecheng-3502	83	14	stress	stress	NOUN
fumecheng-3502	83	15	-	-	PUNCT
fumecheng-3502	83	16	strain	strain	NOUN
fumecheng-3502	83	17	distribution	distribution	NOUN
fumecheng-3502	83	18	in	in	ADP
fumecheng-3502	83	19	a	a	DET
fumecheng-3502	83	20	simply	simply	ADV
fumecheng-3502	83	21	deformable	deformable	ADJ
fumecheng-3502	83	22	element	element	NOUN
fumecheng-3502	83	23	and	and	CCONJ
fumecheng-3502	83	24	the	the	DET
fumecheng-3502	83	25	postulated	postulate	VERB
fumecheng-3502	83	26	form	form	NOUN
fumecheng-3502	83	27	of	of	ADP
fumecheng-3502	83	28	the	the	DET
fumecheng-3502	83	29	relation	relation	NOUN
fumecheng-3502	83	30	for	for	ADP
fumecheng-3502	83	31	the	the	DET
fumecheng-3502	83	32	reaction	reaction	NOUN
fumecheng-3502	83	33	force	force	NOUN
fumecheng-3502	83	34	of	of	ADP
fumecheng-3502	83	35	a	a	DET
fumecheng-3502	83	36	discrete	discrete	ADJ
fumecheng-3502	83	37	element	element	NOUN
fumecheng-3502	83	38	in	in	ADP
fumecheng-3502	83	39	response	response	NOUN
fumecheng-3502	83	40	to	to	ADP
fumecheng-3502	83	41	the	the	DET
fumecheng-3502	83	42	action	action	NOUN
fumecheng-3502	83	43	of	of	ADP
fumecheng-3502	83	44	its	its	PRON
fumecheng-3502	83	45	neighboring	neighboring	NOUN
fumecheng-3502	83	46	element	element	NOUN
fumecheng-3502	83	47	.	.	PUNCT
fumecheng-3502	84	1	in	in	ADP
fumecheng-3502	84	2	the	the	DET
fumecheng-3502	84	3	simply	simply	ADV
fumecheng-3502	84	4	deformable	deformable	ADJ
fumecheng-3502	84	5	element	element	NOUN
fumecheng-3502	84	6	approximation	approximation	NOUN
fumecheng-3502	84	7	the	the	DET
fumecheng-3502	84	8	state	state	NOUN
fumecheng-3502	84	9	of	of	ADP
fumecheng-3502	84	10	a	a	DET
fumecheng-3502	84	11	discrete	discrete	ADJ
fumecheng-3502	84	12	element	element	NOUN
fumecheng-3502	84	13	is	be	AUX
fumecheng-3502	84	14	determined	determine	VERB
fumecheng-3502	84	15	by	by	ADP
fumecheng-3502	84	16	average	average	ADJ
fumecheng-3502	84	17	stress	stress	NOUN
fumecheng-3502	84	18	tensor	tensor	NOUN
fumecheng-3502	84	19	i	i	PRON
fumecheng-3502	84	20			PROPN
fumecheng-3502	84	21	and	and	CCONJ
fumecheng-3502	84	22	average	average	ADJ
fumecheng-3502	84	23	strain	strain	NOUN
fumecheng-3502	84	24	tensor	tensor	NOUN
fumecheng-3502	84	25	i	i	PRON
fumecheng-3502	84	26			VERB
fumecheng-3502	84	27	[	[	X
fumecheng-3502	84	28	21	21	NUM
fumecheng-3502	84	29	]	]	PUNCT
fumecheng-3502	84	30	calculated	calculate	VERB
fumecheng-3502	84	31	based	base	VERB
fumecheng-3502	84	32	on	on	ADP
fumecheng-3502	84	33	the	the	DET
fumecheng-3502	84	34	specific	specific	ADJ
fumecheng-3502	84	35	values	value	NOUN
fumecheng-3502	84	36	of	of	ADP
fumecheng-3502	84	37	normal	normal	ADJ
fumecheng-3502	84	38	and	and	CCONJ
fumecheng-3502	84	39	tangential	tangential	ADJ
fumecheng-3502	84	40	forces	force	NOUN
fumecheng-3502	84	41	in	in	ADP
fumecheng-3502	84	42	interacting	interact	VERB
fumecheng-3502	84	43	pairs	pair	NOUN
fumecheng-3502	84	44	of	of	ADP
fumecheng-3502	84	45	discrete	discrete	ADJ
fumecheng-3502	84	46	elements	element	NOUN
fumecheng-3502	84	47	.	.	PUNCT
fumecheng-3502	85	1	tensors	tensor	NOUN
fumecheng-3502	85	2	i	i	PRON
fumecheng-3502	85	3			VERB
fumecheng-3502	85	4	and	and	CCONJ
fumecheng-3502	85	5	i	i	PRON
fumecheng-3502	85	6			ADJ
fumecheng-3502	85	7	are	be	AUX
fumecheng-3502	85	8	assumed	assume	VERB
fumecheng-3502	85	9	to	to	PART
fumecheng-3502	85	10	be	be	AUX
fumecheng-3502	85	11	related	relate	VERB
fumecheng-3502	85	12	by	by	ADP
fumecheng-3502	85	13	an	an	DET
fumecheng-3502	85	14	assigned	assign	VERB
fumecheng-3502	85	15	constitutive	constitutive	ADJ
fumecheng-3502	85	16	law	law	NOUN
fumecheng-3502	85	17	.	.	PUNCT
fumecheng-3502	86	1	this	this	DET
fumecheng-3502	86	2	law	law	NOUN
fumecheng-3502	86	3	determines	determine	VERB
fumecheng-3502	86	4	a	a	DET
fumecheng-3502	86	5	relationship	relationship	NOUN
fumecheng-3502	86	6	between	between	ADP
fumecheng-3502	86	7	force	force	NOUN
fumecheng-3502	86	8	and	and	CCONJ
fumecheng-3502	86	9	spatial	spatial	ADJ
fumecheng-3502	86	10	interaction	interaction	NOUN
fumecheng-3502	86	11	parameters	parameter	NOUN
fumecheng-3502	86	12	for	for	ADP
fumecheng-3502	86	13	a	a	DET
fumecheng-3502	86	14	pair	pair	NOUN
fumecheng-3502	86	15	of	of	ADP
fumecheng-3502	86	16	elements	element	NOUN
fumecheng-3502	86	17	.	.	PUNCT
fumecheng-3502	87	1	the	the	DET
fumecheng-3502	87	2	mca	mca	PROPN
fumecheng-3502	87	3	method	method	NOUN
fumecheng-3502	87	4	postulates	postulate	VERB
fumecheng-3502	87	5	a	a	DET
fumecheng-3502	87	6	structural	structural	ADJ
fumecheng-3502	87	7	form	form	NOUN
fumecheng-3502	87	8	of	of	ADP
fumecheng-3502	87	9	relations	relation	NOUN
fumecheng-3502	87	10	for	for	ADP
fumecheng-3502	87	11	the	the	DET
fumecheng-3502	87	12	central	central	ADJ
fumecheng-3502	87	13	and	and	CCONJ
fumecheng-3502	87	14	tangential	tangential	ADJ
fumecheng-3502	87	15	interaction	interaction	NOUN
fumecheng-3502	87	16	forces	force	NOUN
fumecheng-3502	87	17	of	of	ADP
fumecheng-3502	87	18	discrete	discrete	ADJ
fumecheng-3502	87	19	elements	element	NOUN
fumecheng-3502	87	20	.	.	PUNCT
fumecheng-3502	88	1	we	we	PRON
fumecheng-3502	88	2	have	have	AUX
fumecheng-3502	88	3	used	use	VERB
fumecheng-3502	88	4	a	a	DET
fumecheng-3502	88	5	generalized	generalized	ADJ
fumecheng-3502	88	6	hooke	hooke	NOUN
fumecheng-3502	88	7	’s	’s	PART
fumecheng-3502	88	8	law	law	NOUN
fumecheng-3502	88	9	simulation	simulation	NOUN
fumecheng-3502	88	10	of	of	ADP
fumecheng-3502	88	11	fracture	fracture	NOUN
fumecheng-3502	88	12	using	use	VERB
fumecheng-3502	88	13	a	a	DET
fumecheng-3502	88	14	mesh	mesh	NOUN
fumecheng-3502	88	15	-	-	PUNCT
fumecheng-3502	88	16	dependent	dependent	ADJ
fumecheng-3502	88	17	fracture	fracture	NOUN
fumecheng-3502	88	18	criterion	criterion	NOUN
fumecheng-3502	88	19	in	in	ADP
fumecheng-3502	88	20	a	a	DET
fumecheng-3502	88	21	discrete	discrete	ADJ
fumecheng-3502	88	22	element	element	NOUN
fumecheng-3502	88	23	method	method	NOUN
fumecheng-3502	88	24	45	45	NUM
fumecheng-3502	88	25	for	for	ADP
fumecheng-3502	88	26	isotropic	isotropic	ADJ
fumecheng-3502	88	27	materials	material	NOUN
fumecheng-3502	88	28	as	as	ADP
fumecheng-3502	88	29	constitutive	constitutive	ADJ
fumecheng-3502	88	30	relation	relation	NOUN
fumecheng-3502	88	31	(	(	PUNCT
fumecheng-3502	88	32	)	)	PUNCT
fumecheng-3502	88	33	i	i	PRON
fumecheng-3502	88	34	i	i	PRON
fumecheng-3502	88	35			ADJ
fumecheng-3502	88	36			VERB
fumecheng-3502	88	37			PROPN
fumecheng-3502	88	38	for	for	ADP
fumecheng-3502	88	39	the	the	DET
fumecheng-3502	88	40	elastic	elastic	ADJ
fumecheng-3502	88	41	response	response	NOUN
fumecheng-3502	88	42	of	of	ADP
fumecheng-3502	88	43	a	a	DET
fumecheng-3502	88	44	simply	simply	ADV
fumecheng-3502	88	45	deformable	deformable	ADJ
fumecheng-3502	88	46	discrete	discrete	ADJ
fumecheng-3502	88	47	element	element	NOUN
fumecheng-3502	88	48	.	.	PUNCT
fumecheng-3502	89	1	the	the	DET
fumecheng-3502	89	2	developed	develop	VERB
fumecheng-3502	89	3	approach	approach	NOUN
fumecheng-3502	89	4	allows	allow	VERB
fumecheng-3502	89	5	using	use	VERB
fumecheng-3502	89	6	multi	multi	ADJ
fumecheng-3502	89	7	-	-	ADJ
fumecheng-3502	89	8	parametric	parametric	ADJ
fumecheng-3502	89	9	failure	failure	NOUN
fumecheng-3502	89	10	criteria	criterion	NOUN
fumecheng-3502	89	11	(	(	PUNCT
fumecheng-3502	89	12	von	von	PROPN
fumecheng-3502	89	13	mises	mises	PROPN
fumecheng-3502	89	14	,	,	PUNCT
fumecheng-3502	89	15	mohr	mohr	PROPN
fumecheng-3502	89	16	–	–	PUNCT
fumecheng-3502	89	17	coulomb	coulomb	NOUN
fumecheng-3502	89	18	,	,	PUNCT
fumecheng-3502	89	19	drucker	drucker	NOUN
fumecheng-3502	89	20	–	–	PUNCT
fumecheng-3502	89	21	prager	prager	PROPN
fumecheng-3502	89	22	and	and	CCONJ
fumecheng-3502	89	23	others	other	NOUN
fumecheng-3502	89	24	)	)	PUNCT
fumecheng-3502	89	25	for	for	ADP
fumecheng-3502	89	26	simulation	simulation	NOUN
fumecheng-3502	89	27	of	of	ADP
fumecheng-3502	89	28	bond	bond	NOUN
fumecheng-3502	89	29	breaking	break	VERB
fumecheng-3502	89	30	between	between	ADP
fumecheng-3502	89	31	the	the	DET
fumecheng-3502	89	32	pairs	pair	NOUN
fumecheng-3502	89	33	of	of	ADP
fumecheng-3502	89	34	interacting	interact	VERB
fumecheng-3502	89	35	discrete	discrete	ADJ
fumecheng-3502	89	36	elements	element	NOUN
fumecheng-3502	89	37	.	.	PUNCT
fumecheng-3502	90	1	in	in	ADP
fumecheng-3502	90	2	this	this	DET
fumecheng-3502	90	3	paper	paper	NOUN
fumecheng-3502	90	4	we	we	PRON
fumecheng-3502	90	5	used	use	VERB
fumecheng-3502	90	6	the	the	DET
fumecheng-3502	90	7	von	von	PROPN
fumecheng-3502	90	8	mises	mises	PROPN
fumecheng-3502	90	9	fracture	fracture	PROPN
fumecheng-3502	90	10	criterion	criterion	NOUN
fumecheng-3502	90	11	in	in	ADP
fumecheng-3502	90	12	the	the	DET
fumecheng-3502	90	13	following	follow	VERB
fumecheng-3502	90	14	form	form	NOUN
fumecheng-3502	90	15	:	:	PUNCT
fumecheng-3502	90	16	2	2	NUM
fumecheng-3502	90	17	2	2	NUM
fumecheng-3502	90	18	2	2	NUM
fumecheng-3502	90	19	21	21	NUM
fumecheng-3502	90	20	(	(	PUNCT
fumecheng-3502	90	21	)	)	PUNCT
fumecheng-3502	90	22	(	(	PUNCT
fumecheng-3502	90	23	)	)	PUNCT
fumecheng-3502	90	24	(	(	PUNCT
fumecheng-3502	90	25	)	)	PUNCT
fumecheng-3502	90	26	6	6	NUM
fumecheng-3502	90	27	2	2	NUM
fumecheng-3502	90	28	xx	xx	NUM
fumecheng-3502	91	1	yy	yy	INTJ
fumecheng-3502	91	2	yy	yy	INTJ
fumecheng-3502	92	1	zz	zz	INTJ
fumecheng-3502	93	1	zz	zz	INTJ
fumecheng-3502	94	1	xx	xx	NUM
fumecheng-3502	94	2	xy	xy	INTJ
fumecheng-3502	95	1	misesy	misesy	ADJ
fumecheng-3502	95	2			PROPN
fumecheng-3502	95	3			PUNCT
fumecheng-3502	95	4			PROPN
fumecheng-3502	95	5			PROPN
fumecheng-3502	95	6			ADV
fumecheng-3502	95	7			PROPN
fumecheng-3502	95	8			PROPN
fumecheng-3502	95	9			PUNCT
fumecheng-3502	95	10			PROPN
fumecheng-3502	95	11			PROPN
fumecheng-3502	95	12	,	,	PUNCT
fumecheng-3502	95	13	(	(	PUNCT
fumecheng-3502	95	14	5	5	X
fumecheng-3502	95	15	)	)	PUNCT
fumecheng-3502	95	16	written	write	VERB
fumecheng-3502	95	17	for	for	ADP
fumecheng-3502	95	18	a	a	DET
fumecheng-3502	95	19	pair	pair	NOUN
fumecheng-3502	95	20	of	of	ADP
fumecheng-3502	95	21	interacting	interact	VERB
fumecheng-3502	95	22	discrete	discrete	ADJ
fumecheng-3502	95	23	elements	element	NOUN
fumecheng-3502	95	24	.	.	PUNCT
fumecheng-3502	96	1	3	3	X
fumecheng-3502	96	2	.	.	X
fumecheng-3502	96	3	results	result	NOUN
fumecheng-3502	96	4	of	of	ADP
fumecheng-3502	96	5	simulation	simulation	NOUN
fumecheng-3502	96	6	there	there	PRON
fumecheng-3502	96	7	is	be	VERB
fumecheng-3502	96	8	a	a	DET
fumecheng-3502	96	9	well	well	ADV
fumecheng-3502	96	10	-	-	PUNCT
fumecheng-3502	96	11	known	know	VERB
fumecheng-3502	96	12	analytic	analytic	ADJ
fumecheng-3502	96	13	solution	solution	NOUN
fumecheng-3502	96	14	for	for	ADP
fumecheng-3502	96	15	the	the	DET
fumecheng-3502	96	16	normal	normal	ADJ
fumecheng-3502	96	17	pressure	pressure	NOUN
fumecheng-3502	96	18	distribution	distribution	NOUN
fumecheng-3502	96	19	under	under	ADP
fumecheng-3502	96	20	an	an	DET
fumecheng-3502	96	21	elastic	elastic	ADJ
fumecheng-3502	96	22	flat	flat	ADJ
fumecheng-3502	96	23	punch	punch	NOUN
fumecheng-3502	96	24	contacting	contact	VERB
fumecheng-3502	96	25	with	with	ADP
fumecheng-3502	96	26	an	an	DET
fumecheng-3502	96	27	elastic	elastic	ADJ
fumecheng-3502	96	28	half	half	ADJ
fumecheng-3502	96	29	-	-	PUNCT
fumecheng-3502	96	30	space	space	NOUN
fumecheng-3502	96	31	[	[	X
fumecheng-3502	96	32	3	3	NUM
fumecheng-3502	96	33	,	,	PUNCT
fumecheng-3502	96	34	6	6	NUM
fumecheng-3502	96	35	]	]	PUNCT
fumecheng-3502	96	36	.	.	PUNCT
fumecheng-3502	97	1	this	this	DET
fumecheng-3502	97	2	solution	solution	NOUN
fumecheng-3502	97	3	suggests	suggest	VERB
fumecheng-3502	97	4	the	the	DET
fumecheng-3502	97	5	presence	presence	NOUN
fumecheng-3502	97	6	of	of	ADP
fumecheng-3502	97	7	peaks	peak	NOUN
fumecheng-3502	97	8	of	of	ADP
fumecheng-3502	97	9	normal	normal	ADJ
fumecheng-3502	97	10	pressure	pressure	NOUN
fumecheng-3502	97	11	near	near	ADP
fumecheng-3502	97	12	the	the	DET
fumecheng-3502	97	13	boundary	boundary	NOUN
fumecheng-3502	97	14	of	of	ADP
fumecheng-3502	97	15	the	the	DET
fumecheng-3502	97	16	contact	contact	NOUN
fumecheng-3502	97	17	area	area	NOUN
fumecheng-3502	97	18	.	.	PUNCT
fumecheng-3502	98	1	height	height	NOUN
fumecheng-3502	98	2	and	and	CCONJ
fumecheng-3502	98	3	,	,	PUNCT
fumecheng-3502	98	4	more	more	ADV
fumecheng-3502	98	5	generally	generally	ADV
fumecheng-3502	98	6	,	,	PUNCT
fumecheng-3502	98	7	shape	shape	NOUN
fumecheng-3502	98	8	of	of	ADP
fumecheng-3502	98	9	these	these	DET
fumecheng-3502	98	10	peaks	peak	NOUN
fumecheng-3502	98	11	depend	depend	VERB
fumecheng-3502	98	12	on	on	ADP
fumecheng-3502	98	13	curvature	curvature	NOUN
fumecheng-3502	98	14	of	of	ADP
fumecheng-3502	98	15	the	the	DET
fumecheng-3502	98	16	corners	corner	NOUN
fumecheng-3502	98	17	of	of	ADP
fumecheng-3502	98	18	the	the	DET
fumecheng-3502	98	19	punch	punch	NOUN
fumecheng-3502	98	20	,	,	PUNCT
fumecheng-3502	98	21	the	the	DET
fumecheng-3502	98	22	relation	relation	NOUN
fumecheng-3502	98	23	of	of	ADP
fumecheng-3502	98	24	elastic	elastic	ADJ
fumecheng-3502	98	25	moduli	modulus	NOUN
fumecheng-3502	98	26	of	of	ADP
fumecheng-3502	98	27	the	the	DET
fumecheng-3502	98	28	punch	punch	NOUN
fumecheng-3502	98	29	and	and	CCONJ
fumecheng-3502	98	30	the	the	DET
fumecheng-3502	98	31	half	half	ADJ
fumecheng-3502	98	32	-	-	PUNCT
fumecheng-3502	98	33	space	space	NOUN
fumecheng-3502	98	34	,	,	PUNCT
fumecheng-3502	98	35	the	the	DET
fumecheng-3502	98	36	roughness	roughness	NOUN
fumecheng-3502	98	37	and	and	CCONJ
fumecheng-3502	98	38	the	the	DET
fumecheng-3502	98	39	coefficient	coefficient	NOUN
fumecheng-3502	98	40	of	of	ADP
fumecheng-3502	98	41	friction	friction	NOUN
fumecheng-3502	98	42	between	between	ADP
fumecheng-3502	98	43	the	the	DET
fumecheng-3502	98	44	contacting	contact	VERB
fumecheng-3502	98	45	bodies	body	NOUN
fumecheng-3502	98	46	,	,	PUNCT
fumecheng-3502	98	47	etc	etc	X
fumecheng-3502	98	48	.	.	X
fumecheng-3502	98	49	in	in	ADP
fumecheng-3502	98	50	any	any	DET
fumecheng-3502	98	51	case	case	NOUN
fumecheng-3502	98	52	,	,	PUNCT
fumecheng-3502	98	53	these	these	DET
fumecheng-3502	98	54	peaks	peak	NOUN
fumecheng-3502	98	55	are	be	AUX
fumecheng-3502	98	56	much	much	ADV
fumecheng-3502	98	57	higher	high	ADJ
fumecheng-3502	98	58	than	than	ADP
fumecheng-3502	98	59	the	the	DET
fumecheng-3502	98	60	pressure	pressure	NOUN
fumecheng-3502	98	61	on	on	ADP
fumecheng-3502	98	62	the	the	DET
fumecheng-3502	98	63	axis	axis	NOUN
fumecheng-3502	98	64	of	of	ADP
fumecheng-3502	98	65	the	the	DET
fumecheng-3502	98	66	punch	punch	NOUN
fumecheng-3502	98	67	.	.	PUNCT
fumecheng-3502	99	1	this	this	DET
fumecheng-3502	99	2	fact	fact	NOUN
fumecheng-3502	99	3	leads	lead	VERB
fumecheng-3502	99	4	to	to	ADP
fumecheng-3502	99	5	a	a	DET
fumecheng-3502	99	6	curious	curious	ADJ
fumecheng-3502	99	7	result	result	NOUN
fumecheng-3502	99	8	at	at	ADP
fumecheng-3502	99	9	the	the	DET
fumecheng-3502	99	10	dem	dem	PROPN
fumecheng-3502	99	11	simulation	simulation	NOUN
fumecheng-3502	99	12	of	of	ADP
fumecheng-3502	99	13	detachment	detachment	NOUN
fumecheng-3502	99	14	of	of	ADP
fumecheng-3502	99	15	a	a	DET
fumecheng-3502	99	16	punch	punch	NOUN
fumecheng-3502	99	17	from	from	ADP
fumecheng-3502	99	18	a	a	DET
fumecheng-3502	99	19	half	half	ADJ
fumecheng-3502	99	20	-	-	PUNCT
fumecheng-3502	99	21	space	space	NOUN
fumecheng-3502	99	22	.	.	PUNCT
fumecheng-3502	100	1	namely	namely	ADV
fumecheng-3502	100	2	,	,	PUNCT
fumecheng-3502	100	3	tensile	tensile	NOUN
fumecheng-3502	100	4	strength	strength	NOUN
fumecheng-3502	100	5	σt	σt	ADP
fumecheng-3502	100	6	of	of	ADP
fumecheng-3502	100	7	a	a	DET
fumecheng-3502	100	8	contact	contact	NOUN
fumecheng-3502	100	9	between	between	ADP
fumecheng-3502	100	10	a	a	DET
fumecheng-3502	100	11	punch	punch	NOUN
fumecheng-3502	100	12	and	and	CCONJ
fumecheng-3502	100	13	half	half	ADJ
fumecheng-3502	100	14	-	-	PUNCT
fumecheng-3502	100	15	space	space	NOUN
fumecheng-3502	100	16	becomes	become	VERB
fumecheng-3502	100	17	lower	low	ADJ
fumecheng-3502	100	18	with	with	ADP
fumecheng-3502	100	19	decrease	decrease	NOUN
fumecheng-3502	100	20	of	of	ADP
fumecheng-3502	100	21	the	the	DET
fumecheng-3502	100	22	diameter	diameter	NOUN
fumecheng-3502	100	23	of	of	ADP
fumecheng-3502	100	24	a	a	DET
fumecheng-3502	100	25	discrete	discrete	ADJ
fumecheng-3502	100	26	element	element	NOUN
fumecheng-3502	100	27	in	in	ADP
fumecheng-3502	100	28	accordance	accordance	NOUN
fumecheng-3502	100	29	with	with	ADP
fumecheng-3502	100	30	the	the	DET
fumecheng-3502	100	31	power	power	NOUN
fumecheng-3502	100	32	law	law	NOUN
fumecheng-3502	100	33	:	:	PUNCT
fumecheng-3502	100	34	0	0	NUM
fumecheng-3502	100	35	0	0	NUM
fumecheng-3502	100	36	s	s	NOUN
fumecheng-3502	100	37	t	t	NOUN
fumecheng-3502	100	38	t	t	NOUN
fumecheng-3502	101	1	d	d	X
fumecheng-3502	101	2	d	d	PROPN
fumecheng-3502	101	3			NOUN
fumecheng-3502	101	4			NOUN
fumecheng-3502	101	5			PROPN
fumecheng-3502	101	6			PROPN
fumecheng-3502	101	7			PROPN
fumecheng-3502	101	8			PROPN
fumecheng-3502	101	9			CCONJ
fumecheng-3502	101	10			PROPN
fumecheng-3502	101	11			NOUN
fumecheng-3502	101	12	,	,	PUNCT
fumecheng-3502	101	13	(	(	PUNCT
fumecheng-3502	101	14	6	6	NUM
fumecheng-3502	101	15	)	)	PUNCT
fumecheng-3502	101	16	where	where	SCONJ
fumecheng-3502	101	17	σt0	σt0	NOUN
fumecheng-3502	101	18	is	be	AUX
fumecheng-3502	101	19	a	a	DET
fumecheng-3502	101	20	parameter	parameter	NOUN
fumecheng-3502	101	21	having	have	VERB
fumecheng-3502	101	22	the	the	DET
fumecheng-3502	101	23	dimensionality	dimensionality	NOUN
fumecheng-3502	101	24	of	of	ADP
fumecheng-3502	101	25	stress	stress	NOUN
fumecheng-3502	101	26	,	,	PUNCT
fumecheng-3502	101	27	d	d	PRON
fumecheng-3502	101	28	is	be	AUX
fumecheng-3502	101	29	a	a	DET
fumecheng-3502	101	30	discrete	discrete	ADJ
fumecheng-3502	101	31	element	element	NOUN
fumecheng-3502	101	32	size	size	NOUN
fumecheng-3502	101	33	,	,	PUNCT
fumecheng-3502	101	34	d0	d0	NOUN
fumecheng-3502	101	35	is	be	AUX
fumecheng-3502	101	36	a	a	DET
fumecheng-3502	101	37	normalizing	normalizing	ADJ
fumecheng-3502	101	38	constant	constant	ADJ
fumecheng-3502	101	39	and	and	CCONJ
fumecheng-3502	101	40	s	s	NOUN
fumecheng-3502	101	41	is	be	AUX
fumecheng-3502	101	42	the	the	DET
fumecheng-3502	101	43	exponent	exponent	NOUN
fumecheng-3502	101	44	.	.	PUNCT
fumecheng-3502	102	1	the	the	DET
fumecheng-3502	102	2	dependencies	dependency	NOUN
fumecheng-3502	102	3	of	of	ADP
fumecheng-3502	102	4	tensile	tensile	NOUN
fumecheng-3502	102	5	strength	strength	NOUN
fumecheng-3502	102	6	on	on	ADP
fumecheng-3502	102	7	element	element	ADJ
fumecheng-3502	102	8	size	size	NOUN
fumecheng-3502	102	9	for	for	ADP
fumecheng-3502	102	10	different	different	ADJ
fumecheng-3502	102	11	relations	relation	NOUN
fumecheng-3502	102	12	of	of	ADP
fumecheng-3502	102	13	elastic	elastic	ADJ
fumecheng-3502	102	14	moduli	modulus	NOUN
fumecheng-3502	102	15	of	of	ADP
fumecheng-3502	102	16	the	the	DET
fumecheng-3502	102	17	punch	punch	NOUN
fumecheng-3502	102	18	and	and	CCONJ
fumecheng-3502	102	19	the	the	DET
fumecheng-3502	102	20	half	half	ADJ
fumecheng-3502	102	21	-	-	PUNCT
fumecheng-3502	102	22	space	space	NOUN
fumecheng-3502	102	23	e	e	NOUN
fumecheng-3502	102	24	=	=	NOUN
fumecheng-3502	102	25	epunch	epunch	ADJ
fumecheng-3502	102	26	/	/	SYM
fumecheng-3502	102	27	ehalf	ehalf	NOUN
fumecheng-3502	102	28	-	-	PUNCT
fumecheng-3502	102	29	space	space	NOUN
fumecheng-3502	102	30	are	be	AUX
fumecheng-3502	102	31	shown	show	VERB
fumecheng-3502	102	32	in	in	ADP
fumecheng-3502	102	33	fig	fig	NOUN
fumecheng-3502	102	34	.	.	PUNCT
fumecheng-3502	103	1	2	2	X
fumecheng-3502	103	2	.	.	X
fumecheng-3502	103	3	evidently	evidently	ADV
fumecheng-3502	103	4	,	,	PUNCT
fumecheng-3502	103	5	the	the	DET
fumecheng-3502	103	6	upper	upper	ADJ
fumecheng-3502	103	7	limit	limit	NOUN
fumecheng-3502	103	8	of	of	ADP
fumecheng-3502	103	9	the	the	DET
fumecheng-3502	103	10	element	element	NOUN
fumecheng-3502	103	11	size	size	NOUN
fumecheng-3502	103	12	is	be	AUX
fumecheng-3502	103	13	a	a	DET
fumecheng-3502	103	14	punch	punch	NOUN
fumecheng-3502	103	15	size	size	NOUN
fumecheng-3502	103	16	and	and	CCONJ
fumecheng-3502	103	17	the	the	DET
fumecheng-3502	103	18	lower	low	ADJ
fumecheng-3502	103	19	limit	limit	NOUN
fumecheng-3502	103	20	tends	tend	VERB
fumecheng-3502	103	21	to	to	ADP
fumecheng-3502	103	22	zero	zero	NUM
fumecheng-3502	103	23	.	.	PUNCT
fumecheng-3502	104	1	as	as	SCONJ
fumecheng-3502	104	2	one	one	PRON
fumecheng-3502	104	3	can	can	AUX
fumecheng-3502	104	4	see	see	VERB
fumecheng-3502	104	5	from	from	ADP
fumecheng-3502	104	6	fig	fig	NOUN
fumecheng-3502	104	7	.	.	PUNCT
fumecheng-3502	105	1	2	2	NUM
fumecheng-3502	105	2	,	,	PUNCT
fumecheng-3502	105	3	there	there	PRON
fumecheng-3502	105	4	is	be	VERB
fumecheng-3502	105	5	no	no	DET
fumecheng-3502	105	6	convergence	convergence	NOUN
fumecheng-3502	105	7	(	(	PUNCT
fumecheng-3502	105	8	at	at	ADP
fumecheng-3502	105	9	least	least	ADJ
fumecheng-3502	105	10	,	,	PUNCT
fumecheng-3502	105	11	asymptotic	asymptotic	ADJ
fumecheng-3502	105	12	)	)	PUNCT
fumecheng-3502	105	13	of	of	ADP
fumecheng-3502	105	14	the	the	DET
fumecheng-3502	105	15	values	value	NOUN
fumecheng-3502	105	16	of	of	ADP
fumecheng-3502	105	17	tensile	tensile	NOUN
fumecheng-3502	105	18	strength	strength	NOUN
fumecheng-3502	105	19	on	on	ADP
fumecheng-3502	105	20	the	the	DET
fumecheng-3502	105	21	lower	low	ADJ
fumecheng-3502	105	22	limit	limit	NOUN
fumecheng-3502	105	23	of	of	ADP
fumecheng-3502	105	24	element	element	ADJ
fumecheng-3502	105	25	size	size	NOUN
fumecheng-3502	105	26	.	.	PUNCT
fumecheng-3502	106	1	this	this	PRON
fumecheng-3502	106	2	means	mean	VERB
fumecheng-3502	106	3	the	the	DET
fumecheng-3502	106	4	formulation	formulation	NOUN
fumecheng-3502	106	5	of	of	ADP
fumecheng-3502	106	6	the	the	DET
fumecheng-3502	106	7	numerical	numerical	ADJ
fumecheng-3502	106	8	model	model	NOUN
fumecheng-3502	106	9	is	be	AUX
fumecheng-3502	106	10	physically	physically	ADV
fumecheng-3502	106	11	inadequate	inadequate	ADJ
fumecheng-3502	106	12	and	and	CCONJ
fumecheng-3502	106	13	must	must	AUX
fumecheng-3502	106	14	be	be	AUX
fumecheng-3502	106	15	improved	improve	VERB
fumecheng-3502	106	16	in	in	ADP
fumecheng-3502	106	17	a	a	DET
fumecheng-3502	106	18	way	way	NOUN
fumecheng-3502	106	19	guarantying	guarantye	VERB
fumecheng-3502	106	20	convergence	convergence	NOUN
fumecheng-3502	106	21	of	of	ADP
fumecheng-3502	106	22	the	the	DET
fumecheng-3502	106	23	results	result	NOUN
fumecheng-3502	106	24	of	of	ADP
fumecheng-3502	106	25	simulation	simulation	NOUN
fumecheng-3502	106	26	with	with	ADP
fumecheng-3502	106	27	decreasing	decrease	VERB
fumecheng-3502	106	28	of	of	ADP
fumecheng-3502	106	29	an	an	DET
fumecheng-3502	106	30	element	element	NOUN
fumecheng-3502	106	31	size	size	NOUN
fumecheng-3502	106	32	.	.	PUNCT
fumecheng-3502	107	1	it	it	PRON
fumecheng-3502	107	2	is	be	AUX
fumecheng-3502	107	3	necessary	necessary	ADJ
fumecheng-3502	107	4	to	to	PART
fumecheng-3502	107	5	note	note	VERB
fumecheng-3502	107	6	the	the	DET
fumecheng-3502	107	7	fact	fact	NOUN
fumecheng-3502	107	8	that	that	SCONJ
fumecheng-3502	107	9	the	the	DET
fumecheng-3502	107	10	mentioned	mention	VERB
fumecheng-3502	107	11	effect	effect	NOUN
fumecheng-3502	107	12	of	of	ADP
fumecheng-3502	107	13	element	element	ADJ
fumecheng-3502	107	14	size	size	NOUN
fumecheng-3502	107	15	dependence	dependence	NOUN
fumecheng-3502	107	16	of	of	ADP
fumecheng-3502	107	17	tensile	tensile	NOUN
fumecheng-3502	107	18	contact	contact	NOUN
fumecheng-3502	107	19	strength	strength	NOUN
fumecheng-3502	107	20	holds	hold	VERB
fumecheng-3502	107	21	for	for	ADP
fumecheng-3502	107	22	different	different	ADJ
fumecheng-3502	107	23	types	type	NOUN
fumecheng-3502	107	24	of	of	ADP
fumecheng-3502	107	25	fracture	fracture	NOUN
fumecheng-3502	107	26	criteria	criterion	NOUN
fumecheng-3502	107	27	(	(	PUNCT
fumecheng-3502	107	28	von	von	PROPN
fumecheng-3502	107	29	mises	mises	PROPN
fumecheng-3502	107	30	,	,	PUNCT
fumecheng-3502	107	31	drucker	drucker	NOUN
fumecheng-3502	107	32	-	-	PUNCT
fumecheng-3502	107	33	prager	prager	NOUN
fumecheng-3502	107	34	,	,	PUNCT
fumecheng-3502	107	35	detachment	detachment	NOUN
fumecheng-3502	107	36	at	at	ADP
fumecheng-3502	107	37	a	a	DET
fumecheng-3502	107	38	given	give	VERB
fumecheng-3502	107	39	value	value	NOUN
fumecheng-3502	107	40	of	of	ADP
fumecheng-3502	107	41	normal	normal	ADJ
fumecheng-3502	107	42	tensile	tensile	NOUN
fumecheng-3502	107	43	stress	stress	NOUN
fumecheng-3502	107	44	etc	etc	X
fumecheng-3502	107	45	)	)	PUNCT
fumecheng-3502	107	46	.	.	PUNCT
fumecheng-3502	108	1	also	also	ADV
fumecheng-3502	108	2	this	this	DET
fumecheng-3502	108	3	effect	effect	NOUN
fumecheng-3502	108	4	exists	exist	VERB
fumecheng-3502	108	5	when	when	SCONJ
fumecheng-3502	108	6	a	a	DET
fumecheng-3502	108	7	quadratic	quadratic	ADJ
fumecheng-3502	108	8	package	package	NOUN
fumecheng-3502	108	9	of	of	ADP
fumecheng-3502	108	10	elements	element	NOUN
fumecheng-3502	108	11	is	be	AUX
fumecheng-3502	108	12	used	use	VERB
fumecheng-3502	108	13	.	.	PUNCT
fumecheng-3502	109	1	46	46	NUM
fumecheng-3502	109	2	a.	a.	NOUN
fumecheng-3502	109	3	dimaki	dimaki	NOUN
fumecheng-3502	109	4	,	,	PUNCT
fumecheng-3502	109	5	e.	e.	PROPN
fumecheng-3502	109	6	shilko	shilko	PROPN
fumecheng-3502	109	7	,	,	PUNCT
fumecheng-3502	109	8	s.	s.	PROPN
fumecheng-3502	109	9	psakhie	psakhie	PROPN
fumecheng-3502	109	10	,	,	PUNCT
fumecheng-3502	109	11	v.	v.	ADP
fumecheng-3502	109	12	popov	popov	PROPN
fumecheng-3502	109	13	fig	fig	PROPN
fumecheng-3502	109	14	.	.	PUNCT
fumecheng-3502	110	1	2	2	NUM
fumecheng-3502	110	2	dependencies	dependency	NOUN
fumecheng-3502	110	3	of	of	ADP
fumecheng-3502	110	4	the	the	DET
fumecheng-3502	110	5	contact	contact	NOUN
fumecheng-3502	110	6	tensile	tensile	NOUN
fumecheng-3502	110	7	strength	strength	NOUN
fumecheng-3502	110	8	on	on	ADP
fumecheng-3502	110	9	the	the	DET
fumecheng-3502	110	10	element	element	NOUN
fumecheng-3502	110	11	size	size	NOUN
fumecheng-3502	110	12	for	for	ADP
fumecheng-3502	110	13	the	the	DET
fumecheng-3502	110	14	size	size	NOUN
fumecheng-3502	110	15	independent	independent	ADJ
fumecheng-3502	110	16	local	local	ADJ
fumecheng-3502	110	17	detachment	detachment	NOUN
fumecheng-3502	110	18	criterion	criterion	NOUN
fumecheng-3502	110	19	in	in	ADP
fumecheng-3502	110	20	order	order	NOUN
fumecheng-3502	110	21	to	to	PART
fumecheng-3502	110	22	study	study	VERB
fumecheng-3502	110	23	the	the	DET
fumecheng-3502	110	24	influence	influence	NOUN
fumecheng-3502	110	25	of	of	ADP
fumecheng-3502	110	26	the	the	DET
fumecheng-3502	110	27	direction	direction	NOUN
fumecheng-3502	110	28	of	of	ADP
fumecheng-3502	110	29	loading	loading	NOUN
fumecheng-3502	110	30	,	,	PUNCT
fumecheng-3502	110	31	we	we	PRON
fumecheng-3502	110	32	carried	carry	VERB
fumecheng-3502	110	33	out	out	ADP
fumecheng-3502	110	34	a	a	DET
fumecheng-3502	110	35	series	series	NOUN
fumecheng-3502	110	36	of	of	ADP
fumecheng-3502	110	37	calculations	calculation	NOUN
fumecheng-3502	110	38	in	in	ADP
fumecheng-3502	110	39	which	which	PRON
fumecheng-3502	110	40	shear	shear	NOUN
fumecheng-3502	110	41	loading	load	VERB
fumecheng-3502	110	42	with	with	ADP
fumecheng-3502	110	43	constant	constant	ADJ
fumecheng-3502	110	44	horizontal	horizontal	ADJ
fumecheng-3502	110	45	velocity	velocity	NOUN
fumecheng-3502	110	46	was	be	AUX
fumecheng-3502	110	47	applied	apply	VERB
fumecheng-3502	110	48	to	to	ADP
fumecheng-3502	110	49	the	the	DET
fumecheng-3502	110	50	top	top	ADJ
fumecheng-3502	110	51	layer	layer	NOUN
fumecheng-3502	110	52	of	of	ADP
fumecheng-3502	110	53	the	the	DET
fumecheng-3502	110	54	punch	punch	NOUN
fumecheng-3502	110	55	,	,	PUNCT
fumecheng-3502	110	56	while	while	SCONJ
fumecheng-3502	110	57	it	it	PRON
fumecheng-3502	110	58	was	be	AUX
fumecheng-3502	110	59	fixed	fix	VERB
fumecheng-3502	110	60	in	in	ADP
fumecheng-3502	110	61	vertical	vertical	ADJ
fumecheng-3502	110	62	direction	direction	NOUN
fumecheng-3502	110	63	.	.	PUNCT
fumecheng-3502	111	1	it	it	PRON
fumecheng-3502	111	2	was	be	AUX
fumecheng-3502	111	3	found	find	VERB
fumecheng-3502	111	4	that	that	SCONJ
fumecheng-3502	111	5	shear	shear	NOUN
fumecheng-3502	111	6	strength	strength	NOUN
fumecheng-3502	111	7	of	of	ADP
fumecheng-3502	111	8	the	the	DET
fumecheng-3502	111	9	contact	contact	NOUN
fumecheng-3502	111	10	between	between	ADP
fumecheng-3502	111	11	the	the	DET
fumecheng-3502	111	12	punch	punch	NOUN
fumecheng-3502	111	13	and	and	CCONJ
fumecheng-3502	111	14	the	the	DET
fumecheng-3502	111	15	half	half	ADJ
fumecheng-3502	111	16	-	-	PUNCT
fumecheng-3502	111	17	space	space	NOUN
fumecheng-3502	111	18	depends	depend	VERB
fumecheng-3502	111	19	on	on	ADP
fumecheng-3502	111	20	the	the	DET
fumecheng-3502	111	21	element	element	ADJ
fumecheng-3502	111	22	size	size	NOUN
fumecheng-3502	111	23	in	in	ADP
fumecheng-3502	111	24	the	the	DET
fumecheng-3502	111	25	same	same	ADJ
fumecheng-3502	111	26	manner	manner	NOUN
fumecheng-3502	111	27	as	as	SCONJ
fumecheng-3502	111	28	the	the	DET
fumecheng-3502	111	29	tensile	tensile	NOUN
fumecheng-3502	111	30	strength	strength	NOUN
fumecheng-3502	111	31	discussed	discuss	VERB
fumecheng-3502	111	32	above	above	ADV
fumecheng-3502	111	33	(	(	PUNCT
fumecheng-3502	111	34	see	see	VERB
fumecheng-3502	111	35	fig	fig	NOUN
fumecheng-3502	111	36	.	.	PUNCT
fumecheng-3502	112	1	3	3	NUM
fumecheng-3502	112	2	)	)	PUNCT
fumecheng-3502	112	3	.	.	PUNCT
fumecheng-3502	113	1	shear	shear	NOUN
fumecheng-3502	113	2	strength	strength	NOUN
fumecheng-3502	113	3	of	of	ADP
fumecheng-3502	113	4	the	the	DET
fumecheng-3502	113	5	contact	contact	NOUN
fumecheng-3502	113	6	obeys	obey	VERB
fumecheng-3502	113	7	to	to	ADP
fumecheng-3502	113	8	the	the	DET
fumecheng-3502	113	9	power	power	NOUN
fumecheng-3502	113	10	law	law	NOUN
fumecheng-3502	113	11	0	0	NUM
fumecheng-3502	113	12	0	0	NUM
fumecheng-3502	114	1	q	q	NOUN
fumecheng-3502	114	2	shear	shear	NOUN
fumecheng-3502	115	1	d	d	PROPN
fumecheng-3502	115	2	d	d	PROPN
fumecheng-3502	115	3			NOUN
fumecheng-3502	115	4			NOUN
fumecheng-3502	115	5			VERB
fumecheng-3502	115	6			PROPN
fumecheng-3502	115	7			NOUN
fumecheng-3502	115	8			PROPN
fumecheng-3502	115	9			PROPN
fumecheng-3502	116	1			PROPN
fumecheng-3502	116	2			NOUN
fumecheng-3502	116	3	,	,	PUNCT
fumecheng-3502	116	4	(	(	PUNCT
fumecheng-3502	116	5	7	7	X
fumecheng-3502	116	6	)	)	PUNCT
fumecheng-3502	116	7	where	where	SCONJ
fumecheng-3502	116	8	τ0	τ0	NOUN
fumecheng-3502	116	9	has	have	VERB
fumecheng-3502	116	10	the	the	DET
fumecheng-3502	116	11	dimension	dimension	NOUN
fumecheng-3502	116	12	of	of	ADP
fumecheng-3502	116	13	stress	stress	NOUN
fumecheng-3502	116	14	,	,	PUNCT
fumecheng-3502	116	15	q	q	X
fumecheng-3502	116	16	is	be	AUX
fumecheng-3502	116	17	the	the	DET
fumecheng-3502	116	18	exponent	exponent	NOUN
fumecheng-3502	116	19	determining	determine	VERB
fumecheng-3502	116	20	the	the	DET
fumecheng-3502	116	21	slope	slope	NOUN
fumecheng-3502	116	22	of	of	ADP
fumecheng-3502	116	23	the	the	DET
fumecheng-3502	116	24	logarithmical	logarithmical	ADJ
fumecheng-3502	116	25	dependence	dependence	NOUN
fumecheng-3502	116	26	of	of	ADP
fumecheng-3502	116	27	shear	shear	NOUN
fumecheng-3502	116	28	strength	strength	NOUN
fumecheng-3502	116	29	on	on	ADP
fumecheng-3502	116	30	the	the	DET
fumecheng-3502	116	31	element	element	NOUN
fumecheng-3502	116	32	size	size	NOUN
fumecheng-3502	116	33	.	.	PUNCT
fumecheng-3502	117	1	based	base	VERB
fumecheng-3502	117	2	on	on	ADP
fumecheng-3502	117	3	the	the	DET
fumecheng-3502	117	4	analysis	analysis	NOUN
fumecheng-3502	117	5	of	of	ADP
fumecheng-3502	117	6	the	the	DET
fumecheng-3502	117	7	dependencies	dependency	NOUN
fumecheng-3502	117	8	shown	show	VERB
fumecheng-3502	117	9	in	in	ADP
fumecheng-3502	117	10	figs	fig	NOUN
fumecheng-3502	117	11	.	.	PUNCT
fumecheng-3502	118	1	2	2	NUM
fumecheng-3502	118	2	and	and	CCONJ
fumecheng-3502	118	3	3	3	NUM
fumecheng-3502	118	4	we	we	PRON
fumecheng-3502	118	5	obtained	obtain	VERB
fumecheng-3502	118	6	the	the	DET
fumecheng-3502	118	7	following	following	ADJ
fumecheng-3502	118	8	estimate	estimate	NOUN
fumecheng-3502	118	9	of	of	ADP
fumecheng-3502	118	10	the	the	DET
fumecheng-3502	118	11	exponents	exponent	NOUN
fumecheng-3502	118	12	from	from	ADP
fumecheng-3502	118	13	eqs	eqs	PROPN
fumecheng-3502	118	14	.	.	PUNCT
fumecheng-3502	119	1	(	(	PUNCT
fumecheng-3502	119	2	6	6	NUM
fumecheng-3502	119	3	)	)	PUNCT
fumecheng-3502	119	4	and	and	CCONJ
fumecheng-3502	119	5	(	(	PUNCT
fumecheng-3502	119	6	7	7	X
fumecheng-3502	119	7	)	)	PUNCT
fumecheng-3502	119	8	for	for	ADP
fumecheng-3502	119	9	e	e	NOUN
fumecheng-3502	119	10	=	=	SYM
fumecheng-3502	119	11	1	1	NUM
fumecheng-3502	119	12	:	:	SYM
fumecheng-3502	120	1	0.4	0.4	NUM
fumecheng-3502	120	2	0.01s	0.01s	NUM
fumecheng-3502	120	3	q	q	PROPN
fumecheng-3502	120	4			X
fumecheng-3502	120	5			PROPN
fumecheng-3502	120	6	.	.	PUNCT
fumecheng-3502	121	1	(	(	PUNCT
fumecheng-3502	121	2	8)	8)	NUM
fumecheng-3502	121	3	fig	fig	NOUN
fumecheng-3502	121	4	.	.	PUNCT
fumecheng-3502	122	1	3	3	NUM
fumecheng-3502	122	2	shear	shear	NOUN
fumecheng-3502	122	3	strength	strength	NOUN
fumecheng-3502	122	4	of	of	ADP
fumecheng-3502	122	5	a	a	DET
fumecheng-3502	122	6	contact	contact	NOUN
fumecheng-3502	122	7	versus	versus	ADP
fumecheng-3502	122	8	element	element	NOUN
fumecheng-3502	122	9	size	size	NOUN
fumecheng-3502	122	10	simulation	simulation	NOUN
fumecheng-3502	122	11	of	of	ADP
fumecheng-3502	122	12	fracture	fracture	NOUN
fumecheng-3502	122	13	using	use	VERB
fumecheng-3502	122	14	a	a	DET
fumecheng-3502	122	15	mesh	mesh	NOUN
fumecheng-3502	122	16	-	-	PUNCT
fumecheng-3502	122	17	dependent	dependent	ADJ
fumecheng-3502	122	18	fracture	fracture	NOUN
fumecheng-3502	122	19	criterion	criterion	NOUN
fumecheng-3502	122	20	in	in	ADP
fumecheng-3502	122	21	a	a	DET
fumecheng-3502	122	22	discrete	discrete	ADJ
fumecheng-3502	122	23	element	element	NOUN
fumecheng-3502	122	24	method	method	NOUN
fumecheng-3502	122	25	47	47	NUM
fumecheng-3502	122	26	the	the	DET
fumecheng-3502	122	27	estimates	estimate	NOUN
fumecheng-3502	122	28	of	of	ADP
fumecheng-3502	122	29	s	s	PRON
fumecheng-3502	122	30	and	and	CCONJ
fumecheng-3502	122	31	q	q	NOUN
fumecheng-3502	122	32	for	for	ADP
fumecheng-3502	122	33	different	different	ADJ
fumecheng-3502	122	34	values	value	NOUN
fumecheng-3502	122	35	of	of	ADP
fumecheng-3502	122	36	e	e	NOUN
fumecheng-3502	122	37	are	be	AUX
fumecheng-3502	122	38	summarized	summarize	VERB
fumecheng-3502	122	39	in	in	ADP
fumecheng-3502	122	40	table	table	NOUN
fumecheng-3502	122	41	1	1	NUM
fumecheng-3502	122	42	.	.	PUNCT
fumecheng-3502	123	1	it	it	PRON
fumecheng-3502	123	2	is	be	AUX
fumecheng-3502	123	3	evident	evident	ADJ
fumecheng-3502	123	4	that	that	SCONJ
fumecheng-3502	123	5	the	the	DET
fumecheng-3502	123	6	highest	high	ADJ
fumecheng-3502	123	7	discrepancy	discrepancy	NOUN
fumecheng-3502	123	8	between	between	ADP
fumecheng-3502	123	9	the	the	DET
fumecheng-3502	123	10	values	value	NOUN
fumecheng-3502	123	11	of	of	ADP
fumecheng-3502	123	12	exponents	exponent	NOUN
fumecheng-3502	123	13	s	s	PART
fumecheng-3502	123	14	and	and	CCONJ
fumecheng-3502	123	15	q	q	NOUN
fumecheng-3502	123	16	takes	take	VERB
fumecheng-3502	123	17	place	place	NOUN
fumecheng-3502	123	18	for	for	ADP
fumecheng-3502	123	19	e	e	NOUN
fumecheng-3502	123	20	=	=	SYM
fumecheng-3502	123	21	10	10	NUM
fumecheng-3502	123	22	(	(	PUNCT
fumecheng-3502	123	23	the	the	DET
fumecheng-3502	123	24	stiffest	stiff	ADJ
fumecheng-3502	123	25	punch	punch	NOUN
fumecheng-3502	123	26	)	)	PUNCT
fumecheng-3502	123	27	;	;	PUNCT
fumecheng-3502	123	28	in	in	ADP
fumecheng-3502	123	29	other	other	ADJ
fumecheng-3502	123	30	cases	case	NOUN
fumecheng-3502	123	31	the	the	DET
fumecheng-3502	123	32	difference	difference	NOUN
fumecheng-3502	123	33	between	between	ADP
fumecheng-3502	123	34	them	they	PRON
fumecheng-3502	123	35	does	do	AUX
fumecheng-3502	123	36	not	not	PART
fumecheng-3502	123	37	exceed	exceed	VERB
fumecheng-3502	123	38	few	few	ADJ
fumecheng-3502	123	39	percent	percent	NOUN
fumecheng-3502	123	40	.	.	PUNCT
fumecheng-3502	124	1	this	this	PRON
fumecheng-3502	124	2	demonstrates	demonstrate	VERB
fumecheng-3502	124	3	universality	universality	NOUN
fumecheng-3502	124	4	of	of	ADP
fumecheng-3502	124	5	the	the	DET
fumecheng-3502	124	6	obtained	obtain	VERB
fumecheng-3502	124	7	dependencies	dependency	NOUN
fumecheng-3502	124	8	of	of	ADP
fumecheng-3502	124	9	strength	strength	NOUN
fumecheng-3502	124	10	on	on	ADP
fumecheng-3502	124	11	element	element	NOUN
fumecheng-3502	124	12	diameter	diameter	NOUN
fumecheng-3502	124	13	and	and	CCONJ
fumecheng-3502	124	14	their	their	PRON
fumecheng-3502	124	15	applicability	applicability	NOUN
fumecheng-3502	124	16	to	to	ADP
fumecheng-3502	124	17	construction	construction	NOUN
fumecheng-3502	124	18	of	of	ADP
fumecheng-3502	124	19	a	a	DET
fumecheng-3502	124	20	mesh	mesh	NOUN
fumecheng-3502	124	21	-	-	PUNCT
fumecheng-3502	124	22	dependent	dependent	ADJ
fumecheng-3502	124	23	fracture	fracture	NOUN
fumecheng-3502	124	24	criterion	criterion	NOUN
fumecheng-3502	124	25	.	.	PUNCT
fumecheng-3502	125	1	table	table	NOUN
fumecheng-3502	125	2	1	1	NUM
fumecheng-3502	125	3	values	value	NOUN
fumecheng-3502	125	4	of	of	ADP
fumecheng-3502	125	5	s	s	PRON
fumecheng-3502	125	6	and	and	CCONJ
fumecheng-3502	125	7	q	q	NOUN
fumecheng-3502	125	8	for	for	ADP
fumecheng-3502	125	9	different	different	ADJ
fumecheng-3502	125	10	values	value	NOUN
fumecheng-3502	125	11	of	of	ADP
fumecheng-3502	125	12	e	e	NOUN
fumecheng-3502	125	13	=	=	NOUN
fumecheng-3502	125	14	epunch	epunch	ADJ
fumecheng-3502	125	15	/	/	SYM
fumecheng-3502	125	16	ehalf	ehalf	NOUN
fumecheng-3502	125	17	-	-	PUNCT
fumecheng-3502	125	18	space	space	NOUN
fumecheng-3502	125	19	e	e	NOUN
fumecheng-3502	125	20	tension	tension	NOUN
fumecheng-3502	125	21	shear	shear	NOUN
fumecheng-3502	125	22	s	s	PART
fumecheng-3502	125	23	q	q	NOUN
fumecheng-3502	125	24	0.2	0.2	NUM
fumecheng-3502	125	25	0.3	0.3	NUM
fumecheng-3502	125	26	0.31	0.31	NUM
fumecheng-3502	125	27	1	1	NUM
fumecheng-3502	125	28	0.4	0.4	NUM
fumecheng-3502	125	29	0.41	0.41	NUM
fumecheng-3502	125	30	10	10	NUM
fumecheng-3502	125	31	0.44	0.44	NUM
fumecheng-3502	125	32	0.47	0.47	NUM
fumecheng-3502	125	33	4	4	NUM
fumecheng-3502	125	34	.	.	PUNCT
fumecheng-3502	126	1	discussion	discussion	NOUN
fumecheng-3502	126	2	the	the	DET
fumecheng-3502	126	3	obtained	obtain	VERB
fumecheng-3502	126	4	element	element	NOUN
fumecheng-3502	126	5	size	size	NOUN
fumecheng-3502	126	6	dependence	dependence	NOUN
fumecheng-3502	126	7	originates	originate	NOUN
fumecheng-3502	126	8	from	from	ADP
fumecheng-3502	126	9	the	the	DET
fumecheng-3502	126	10	non	non	ADJ
fumecheng-3502	126	11	-	-	ADJ
fumecheng-3502	126	12	uniform	uniform	ADJ
fumecheng-3502	126	13	stress	stress	NOUN
fumecheng-3502	126	14	distribution	distribution	NOUN
fumecheng-3502	126	15	in	in	ADP
fumecheng-3502	126	16	the	the	DET
fumecheng-3502	126	17	contact	contact	NOUN
fumecheng-3502	126	18	area	area	NOUN
fumecheng-3502	126	19	with	with	ADP
fumecheng-3502	126	20	high	high	ADJ
fumecheng-3502	126	21	values	value	NOUN
fumecheng-3502	126	22	of	of	ADP
fumecheng-3502	126	23	stresses	stress	NOUN
fumecheng-3502	126	24	near	near	ADP
fumecheng-3502	126	25	boundaries	boundary	NOUN
fumecheng-3502	126	26	.	.	PUNCT
fumecheng-3502	127	1	the	the	DET
fumecheng-3502	127	2	peaks	peak	NOUN
fumecheng-3502	127	3	of	of	ADP
fumecheng-3502	127	4	stresses	stress	NOUN
fumecheng-3502	127	5	take	take	VERB
fumecheng-3502	127	6	place	place	NOUN
fumecheng-3502	127	7	for	for	ADP
fumecheng-3502	127	8	all	all	DET
fumecheng-3502	127	9	components	component	NOUN
fumecheng-3502	127	10	of	of	ADP
fumecheng-3502	127	11	stress	stress	NOUN
fumecheng-3502	127	12	tensor	tensor	NOUN
fumecheng-3502	127	13	and	and	CCONJ
fumecheng-3502	127	14	for	for	ADP
fumecheng-3502	127	15	equivalent	equivalent	ADJ
fumecheng-3502	127	16	(	(	PUNCT
fumecheng-3502	127	17	von	von	PROPN
fumecheng-3502	127	18	mises	mises	PROPN
fumecheng-3502	127	19	)	)	PUNCT
fumecheng-3502	127	20	stress	stress	NOUN
fumecheng-3502	127	21	which	which	PRON
fumecheng-3502	127	22	determines	determine	VERB
fumecheng-3502	127	23	crack	crack	VERB
fumecheng-3502	127	24	formation	formation	NOUN
fumecheng-3502	127	25	due	due	ADP
fumecheng-3502	127	26	to	to	ADP
fumecheng-3502	127	27	the	the	DET
fumecheng-3502	127	28	fact	fact	NOUN
fumecheng-3502	127	29	that	that	SCONJ
fumecheng-3502	127	30	the	the	DET
fumecheng-3502	127	31	von	von	PROPN
fumecheng-3502	127	32	mises	mises	PROPN
fumecheng-3502	127	33	fracture	fracture	PROPN
fumecheng-3502	127	34	criterion	criterion	NOUN
fumecheng-3502	127	35	was	be	AUX
fumecheng-3502	127	36	used	use	VERB
fumecheng-3502	127	37	in	in	ADP
fumecheng-3502	127	38	the	the	DET
fumecheng-3502	127	39	performed	perform	VERB
fumecheng-3502	127	40	calculations	calculation	NOUN
fumecheng-3502	127	41	.	.	PUNCT
fumecheng-3502	128	1	at	at	ADP
fumecheng-3502	128	2	that	that	PRON
fumecheng-3502	128	3	,	,	PUNCT
fumecheng-3502	128	4	the	the	PRON
fumecheng-3502	128	5	smaller	small	ADJ
fumecheng-3502	128	6	an	an	DET
fumecheng-3502	128	7	element	element	NOUN
fumecheng-3502	128	8	size	size	NOUN
fumecheng-3502	128	9	the	the	PRON
fumecheng-3502	128	10	higher	high	ADJ
fumecheng-3502	128	11	the	the	DET
fumecheng-3502	128	12	peaks	peak	NOUN
fumecheng-3502	128	13	and	and	CCONJ
fumecheng-3502	128	14	the	the	DET
fumecheng-3502	128	15	earlier	early	ADJ
fumecheng-3502	128	16	fracture	fracture	NOUN
fumecheng-3502	128	17	occurrence	occurrence	NOUN
fumecheng-3502	128	18	(	(	PUNCT
fumecheng-3502	128	19	see	see	VERB
fumecheng-3502	128	20	fig	fig	NOUN
fumecheng-3502	128	21	.	.	PUNCT
fumecheng-3502	129	1	4	4	NUM
fumecheng-3502	129	2	)	)	PUNCT
fumecheng-3502	129	3	.	.	PUNCT
fumecheng-3502	130	1	based	base	VERB
fumecheng-3502	130	2	on	on	ADP
fumecheng-3502	130	3	the	the	DET
fumecheng-3502	130	4	hypothesis	hypothesis	NOUN
fumecheng-3502	130	5	that	that	SCONJ
fumecheng-3502	130	6	the	the	DET
fumecheng-3502	130	7	power	power	NOUN
fumecheng-3502	130	8	-	-	PUNCT
fumecheng-3502	130	9	law	law	NOUN
fumecheng-3502	130	10	dependence	dependence	NOUN
fumecheng-3502	130	11	of	of	ADP
fumecheng-3502	130	12	contact	contact	NOUN
fumecheng-3502	130	13	strength	strength	NOUN
fumecheng-3502	130	14	on	on	ADP
fumecheng-3502	130	15	element	element	NOUN
fumecheng-3502	130	16	size	size	NOUN
fumecheng-3502	130	17	has	have	AUX
fumecheng-3502	130	18	nearly	nearly	ADV
fumecheng-3502	130	19	the	the	DET
fumecheng-3502	130	20	same	same	ADJ
fumecheng-3502	130	21	value	value	NOUN
fumecheng-3502	130	22	of	of	ADP
fumecheng-3502	130	23	the	the	DET
fumecheng-3502	130	24	exponent	exponent	NOUN
fumecheng-3502	130	25	as	as	ADP
fumecheng-3502	130	26	the	the	DET
fumecheng-3502	130	27	contact	contact	NOUN
fumecheng-3502	130	28	stress	stress	NOUN
fumecheng-3502	130	29	distribution	distribution	NOUN
fumecheng-3502	130	30	,	,	PUNCT
fumecheng-3502	130	31	we	we	PRON
fumecheng-3502	130	32	have	have	AUX
fumecheng-3502	130	33	carried	carry	VERB
fumecheng-3502	130	34	out	out	ADP
fumecheng-3502	130	35	the	the	DET
fumecheng-3502	130	36	following	follow	VERB
fumecheng-3502	130	37	test	test	NOUN
fumecheng-3502	130	38	.	.	PUNCT
fumecheng-3502	131	1	in	in	ADP
fumecheng-3502	131	2	the	the	DET
fumecheng-3502	131	3	paper	paper	NOUN
fumecheng-3502	131	4	[	[	X
fumecheng-3502	131	5	6	6	NUM
fumecheng-3502	131	6	]	]	PUNCT
fumecheng-3502	131	7	an	an	DET
fumecheng-3502	131	8	approximation	approximation	NOUN
fumecheng-3502	131	9	for	for	ADP
fumecheng-3502	131	10	normal	normal	ADJ
fumecheng-3502	131	11	stress	stress	NOUN
fumecheng-3502	131	12	distribution	distribution	NOUN
fumecheng-3502	131	13	has	have	AUX
fumecheng-3502	131	14	been	be	AUX
fumecheng-3502	131	15	proposed	propose	VERB
fumecheng-3502	131	16	:	:	PUNCT
fumecheng-3502	131	17	2	2	NUM
fumecheng-3502	131	18	2	2	NUM
fumecheng-3502	131	19	(	(	PUNCT
fumecheng-3502	131	20	)	)	PUNCT
fumecheng-3502	131	21	(	(	PUNCT
fumecheng-3502	131	22	,	,	PUNCT
fumecheng-3502	131	23	)	)	PUNCT
fumecheng-3502	131	24	/	/	PUNCT
fumecheng-3502	132	1	(	(	PUNCT
fumecheng-3502	132	2	)	)	PUNCT
fumecheng-3502	132	3	p	p	NOUN
fumecheng-3502	132	4	x	x	X
fumecheng-3502	132	5	fm	fm	PROPN
fumecheng-3502	132	6	a	a	DET
fumecheng-3502	132	7	a	a	PRON
fumecheng-3502	132	8	x	x	SYM
fumecheng-3502	132	9			PROPN
fumecheng-3502	132	10			ADJ
fumecheng-3502	132	11			PROPN
fumecheng-3502	132	12	,	,	PUNCT
fumecheng-3502	132	13	(	(	PUNCT
fumecheng-3502	132	14	9	9	X
fumecheng-3502	132	15	)	)	PUNCT
fumecheng-3502	132	16	where	where	SCONJ
fumecheng-3502	132	17	f	f	PROPN
fumecheng-3502	132	18	–	–	PUNCT
fumecheng-3502	132	19	total	total	ADJ
fumecheng-3502	132	20	force	force	NOUN
fumecheng-3502	132	21	,	,	PUNCT
fumecheng-3502	132	22	applied	apply	VERB
fumecheng-3502	132	23	on	on	ADP
fumecheng-3502	132	24	punch	punch	NOUN
fumecheng-3502	132	25	,	,	PUNCT
fumecheng-3502	132	26	m(λ	m(λ	PROPN
fumecheng-3502	132	27	,	,	PUNCT
fumecheng-3502	132	28	a	a	PRON
fumecheng-3502	132	29	)	)	PUNCT
fumecheng-3502	132	30	–	–	PUNCT
fumecheng-3502	132	31	a	a	DET
fumecheng-3502	132	32	non	non	ADJ
fumecheng-3502	132	33	-	-	ADJ
fumecheng-3502	132	34	dimensional	dimensional	ADJ
fumecheng-3502	132	35	weight	weight	NOUN
fumecheng-3502	132	36	function	function	NOUN
fumecheng-3502	132	37	,	,	PUNCT
fumecheng-3502	132	38	x	x	X
fumecheng-3502	132	39	–	–	PUNCT
fumecheng-3502	132	40	spatial	spatial	ADJ
fumecheng-3502	132	41	coordinate	coordinate	NOUN
fumecheng-3502	132	42	along	along	ADP
fumecheng-3502	132	43	the	the	DET
fumecheng-3502	132	44	contact	contact	NOUN
fumecheng-3502	132	45	patch	patch	NOUN
fumecheng-3502	132	46	measured	measure	VERB
fumecheng-3502	132	47	from	from	ADP
fumecheng-3502	132	48	the	the	DET
fumecheng-3502	132	49	punch	punch	NOUN
fumecheng-3502	132	50	center	center	NOUN
fumecheng-3502	132	51	,	,	PUNCT
fumecheng-3502	132	52	λ	λ	PROPN
fumecheng-3502	132	53	–	–	PUNCT
fumecheng-3502	132	54	the	the	DET
fumecheng-3502	132	55	exponent	exponent	NOUN
fumecheng-3502	132	56	(	(	PUNCT
fumecheng-3502	132	57	see	see	VERB
fumecheng-3502	132	58	also	also	ADV
fumecheng-3502	132	59	,	,	PUNCT
fumecheng-3502	132	60	[	[	X
fumecheng-3502	132	61	23	23	NUM
fumecheng-3502	132	62	]	]	PUNCT
fumecheng-3502	132	63	)	)	PUNCT
fumecheng-3502	132	64	.	.	PUNCT
fumecheng-3502	133	1	there	there	PRON
fumecheng-3502	133	2	is	be	VERB
fumecheng-3502	133	3	an	an	DET
fumecheng-3502	133	4	analytic	analytic	ADJ
fumecheng-3502	133	5	solution	solution	NOUN
fumecheng-3502	133	6	for	for	ADP
fumecheng-3502	133	7	λ	λ	PROPN
fumecheng-3502	133	8	,	,	PUNCT
fumecheng-3502	133	9	obtained	obtain	VERB
fumecheng-3502	133	10	by	by	ADP
fumecheng-3502	133	11	rao	rao	NOUN
fumecheng-3502	133	12	[	[	X
fumecheng-3502	133	13	3	3	X
fumecheng-3502	133	14	]	]	PUNCT
fumecheng-3502	133	15	for	for	ADP
fumecheng-3502	133	16	a	a	DET
fumecheng-3502	133	17	punch	punch	NOUN
fumecheng-3502	133	18	with	with	ADP
fumecheng-3502	133	19	an	an	DET
fumecheng-3502	133	20	arbitrary	arbitrary	ADJ
fumecheng-3502	133	21	angle	angle	NOUN
fumecheng-3502	133	22	at	at	ADP
fumecheng-3502	133	23	the	the	DET
fumecheng-3502	133	24	corner	corner	NOUN
fumecheng-3502	133	25	θ	θ	PROPN
fumecheng-3502	133	26	:	:	PUNCT
fumecheng-3502	133	27			ADJ
fumecheng-3502	133	28			NOUN
fumecheng-3502	133	29	2tan(1	2tan(1	NUM
fumecheng-3502	133	30	)	)	PUNCT
fumecheng-3502	133	31	(	(	PUNCT
fumecheng-3502	133	32	1	1	X
fumecheng-3502	133	33	)	)	PUNCT
fumecheng-3502	133	34	sin	sin	NOUN
fumecheng-3502	133	35	2	2	NUM
fumecheng-3502	133	36	sin	sin	NOUN
fumecheng-3502	133	37	2(1	2(1	NUM
fumecheng-3502	133	38	)	)	PUNCT
fumecheng-3502	133	39	1	1	NUM
fumecheng-3502	133	40	cos	cos	NOUN
fumecheng-3502	133	41	2(1	2(1	NUM
fumecheng-3502	133	42	)	)	PUNCT
fumecheng-3502	133	43	(	(	PUNCT
fumecheng-3502	133	44	1	1	X
fumecheng-3502	133	45	)	)	PUNCT
fumecheng-3502	133	46	(	(	PUNCT
fumecheng-3502	133	47	1	1	NUM
fumecheng-3502	133	48	cos	cos	NOUN
fumecheng-3502	133	49	2	2	NUM
fumecheng-3502	133	50	)	)	PUNCT
fumecheng-3502	133	51	e	e	NOUN
fumecheng-3502	133	52			PROPN
fumecheng-3502	133	53			PROPN
fumecheng-3502	133	54			PROPN
fumecheng-3502	133	55			PROPN
fumecheng-3502	133	56			PROPN
fumecheng-3502	133	57			PROPN
fumecheng-3502	133	58			PROPN
fumecheng-3502	134	1			PROPN
fumecheng-3502	134	2			PROPN
fumecheng-3502	134	3			PROPN
fumecheng-3502	134	4			PROPN
fumecheng-3502	134	5			NOUN
fumecheng-3502	134	6			PROPN
fumecheng-3502	134	7			PROPN
fumecheng-3502	134	8			ADV
fumecheng-3502	134	9			PROPN
fumecheng-3502	134	10	.	.	PUNCT
fumecheng-3502	135	1	(	(	PUNCT
fumecheng-3502	135	2	10	10	NUM
fumecheng-3502	135	3	)	)	PUNCT
fumecheng-3502	135	4	for	for	ADP
fumecheng-3502	135	5	a	a	DET
fumecheng-3502	135	6	cylindrical	cylindrical	ADJ
fumecheng-3502	135	7	punch	punch	NOUN
fumecheng-3502	135	8	which	which	PRON
fumecheng-3502	135	9	is	be	AUX
fumecheng-3502	135	10	rectangular	rectangular	ADJ
fumecheng-3502	135	11	in	in	ADP
fumecheng-3502	135	12	2d	2d	NUM
fumecheng-3502	135	13	cross	cross	NOUN
fumecheng-3502	135	14	-	-	NOUN
fumecheng-3502	135	15	section	section	ADJ
fumecheng-3502	135	16	θ	θ	NOUN
fumecheng-3502	135	17	=	=	PUNCT
fumecheng-3502	135	18	π	π	X
fumecheng-3502	135	19	/	/	SYM
fumecheng-3502	135	20	2	2	NUM
fumecheng-3502	135	21	and	and	CCONJ
fumecheng-3502	135	22	eq	eq	NOUN
fumecheng-3502	135	23	.	.	PUNCT
fumecheng-3502	136	1	(	(	PUNCT
fumecheng-3502	136	2	10	10	NUM
fumecheng-3502	136	3	)	)	PUNCT
fumecheng-3502	136	4	simplifies	simplifie	NOUN
fumecheng-3502	136	5	to	to	ADP
fumecheng-3502	136	6	2tan(1	2tan(1	NUM
fumecheng-3502	136	7	)	)	PUNCT
fumecheng-3502	136	8	sin(1	sin(1	NOUN
fumecheng-3502	136	9	)	)	PUNCT
fumecheng-3502	136	10	1	1	NUM
fumecheng-3502	136	11	cos(1	cos(1	NOUN
fumecheng-3502	136	12	)	)	PUNCT
fumecheng-3502	136	13	2(1	2(1	NUM
fumecheng-3502	136	14	)	)	PUNCT
fumecheng-3502	136	15	0e	0e	NOUN
fumecheng-3502	137	1			PROPN
fumecheng-3502	137	2			PROPN
fumecheng-3502	137	3			PROPN
fumecheng-3502	137	4			PROPN
fumecheng-3502	137	5			VERB
fumecheng-3502	137	6			PROPN
fumecheng-3502	137	7			PROPN
fumecheng-3502	137	8			PROPN
fumecheng-3502	137	9			PROPN
fumecheng-3502	137	10			PROPN
fumecheng-3502	137	11			PROPN
fumecheng-3502	137	12	.	.	PUNCT
fumecheng-3502	138	1	(	(	PUNCT
fumecheng-3502	138	2	11	11	NUM
fumecheng-3502	138	3	)	)	PUNCT
fumecheng-3502	138	4	it	it	PRON
fumecheng-3502	138	5	is	be	AUX
fumecheng-3502	138	6	interesting	interesting	ADJ
fumecheng-3502	138	7	that	that	SCONJ
fumecheng-3502	138	8	eqs	eqs	PROPN
fumecheng-3502	138	9	.	.	PUNCT
fumecheng-3502	139	1	(	(	PUNCT
fumecheng-3502	139	2	10	10	NUM
fumecheng-3502	139	3	)	)	PUNCT
fumecheng-3502	139	4	and	and	CCONJ
fumecheng-3502	139	5	(	(	PUNCT
fumecheng-3502	139	6	11	11	NUM
fumecheng-3502	139	7	)	)	PUNCT
fumecheng-3502	139	8	do	do	AUX
fumecheng-3502	139	9	not	not	PART
fumecheng-3502	139	10	contain	contain	VERB
fumecheng-3502	139	11	poisson	poisson	NOUN
fumecheng-3502	139	12	’s	’s	PART
fumecheng-3502	139	13	ratios	ratio	NOUN
fumecheng-3502	139	14	of	of	ADP
fumecheng-3502	139	15	a	a	DET
fumecheng-3502	139	16	punch	punch	NOUN
fumecheng-3502	139	17	and	and	CCONJ
fumecheng-3502	139	18	a	a	DET
fumecheng-3502	139	19	half	half	ADJ
fumecheng-3502	139	20	-	-	PUNCT
fumecheng-3502	139	21	plane	plane	NOUN
fumecheng-3502	139	22	that	that	PRON
fumecheng-3502	139	23	means	mean	VERB
fumecheng-3502	139	24	,	,	PUNCT
fumecheng-3502	139	25	in	in	ADP
fumecheng-3502	139	26	particular	particular	ADJ
fumecheng-3502	139	27	,	,	PUNCT
fumecheng-3502	139	28	that	that	SCONJ
fumecheng-3502	139	29	a	a	DET
fumecheng-3502	139	30	value	value	NOUN
fumecheng-3502	139	31	of	of	ADP
fumecheng-3502	139	32	λ	λ	PROPN
fumecheng-3502	139	33	is	be	AUX
fumecheng-3502	139	34	the	the	DET
fumecheng-3502	139	35	same	same	ADJ
fumecheng-3502	139	36	for	for	ADP
fumecheng-3502	139	37	plane	plane	NOUN
fumecheng-3502	139	38	stress	stress	NOUN
fumecheng-3502	139	39	and	and	CCONJ
fumecheng-3502	139	40	plane	plane	NOUN
fumecheng-3502	139	41	strain	strain	NOUN
fumecheng-3502	139	42	conditions	condition	NOUN
fumecheng-3502	139	43	[	[	X
fumecheng-3502	139	44	3	3	NUM
fumecheng-3502	139	45	]	]	PUNCT
fumecheng-3502	139	46	.	.	PUNCT
fumecheng-3502	140	1	48	48	NUM
fumecheng-3502	140	2	a.	a.	NOUN
fumecheng-3502	140	3	dimaki	dimaki	NOUN
fumecheng-3502	140	4	,	,	PUNCT
fumecheng-3502	140	5	e.	e.	PROPN
fumecheng-3502	140	6	shilko	shilko	PROPN
fumecheng-3502	140	7	,	,	PUNCT
fumecheng-3502	140	8	s.	s.	PROPN
fumecheng-3502	140	9	psakhie	psakhie	PROPN
fumecheng-3502	140	10	,	,	PUNCT
fumecheng-3502	140	11	v.	v.	ADP
fumecheng-3502	140	12	popov	popov	PROPN
fumecheng-3502	140	13	fig	fig	PROPN
fumecheng-3502	140	14	.	.	PUNCT
fumecheng-3502	141	1	4	4	NUM
fumecheng-3502	141	2	spatial	spatial	ADJ
fumecheng-3502	141	3	distributions	distribution	NOUN
fumecheng-3502	141	4	of	of	ADP
fumecheng-3502	141	5	the	the	DET
fumecheng-3502	141	6	von	von	PROPN
fumecheng-3502	141	7	mises	mises	PROPN
fumecheng-3502	141	8	stress	stress	VERB
fumecheng-3502	141	9	on	on	ADP
fumecheng-3502	141	10	the	the	DET
fumecheng-3502	141	11	surface	surface	NOUN
fumecheng-3502	141	12	of	of	ADP
fumecheng-3502	141	13	the	the	DET
fumecheng-3502	141	14	half	half	ADJ
fumecheng-3502	141	15	-	-	PUNCT
fumecheng-3502	141	16	space	space	NOUN
fumecheng-3502	141	17	for	for	ADP
fumecheng-3502	141	18	different	different	ADJ
fumecheng-3502	141	19	values	value	NOUN
fumecheng-3502	141	20	of	of	ADP
fumecheng-3502	141	21	element	element	ADJ
fumecheng-3502	141	22	size	size	NOUN
fumecheng-3502	141	23	having	having	AUX
fumecheng-3502	141	24	applied	apply	VERB
fumecheng-3502	141	25	eq	eq	ADP
fumecheng-3502	141	26	.	.	PUNCT
fumecheng-3502	142	1	(	(	PUNCT
fumecheng-3502	142	2	9	9	NUM
fumecheng-3502	142	3	)	)	PUNCT
fumecheng-3502	142	4	for	for	ADP
fumecheng-3502	142	5	approximation	approximation	NOUN
fumecheng-3502	142	6	of	of	ADP
fumecheng-3502	142	7	the	the	DET
fumecheng-3502	142	8	von	von	PROPN
fumecheng-3502	142	9	mises	mises	PROPN
fumecheng-3502	142	10	stress	stress	VERB
fumecheng-3502	142	11	distribution	distribution	NOUN
fumecheng-3502	142	12	in	in	ADP
fumecheng-3502	142	13	the	the	DET
fumecheng-3502	142	14	contact	contact	NOUN
fumecheng-3502	142	15	area	area	NOUN
fumecheng-3502	142	16	,	,	PUNCT
fumecheng-3502	142	17	we	we	PRON
fumecheng-3502	142	18	obtained	obtain	VERB
fumecheng-3502	142	19	the	the	DET
fumecheng-3502	142	20	estimation	estimation	NOUN
fumecheng-3502	142	21	λ	λ	PROPN
fumecheng-3502	142	22	≈	≈	PROPN
fumecheng-3502	142	23	0.39	0.39	NUM
fumecheng-3502	142	24	(	(	PUNCT
fumecheng-3502	142	25	see	see	VERB
fumecheng-3502	142	26	fig	fig	NOUN
fumecheng-3502	142	27	.	.	PUNCT
fumecheng-3502	143	1	5	5	NUM
fumecheng-3502	143	2	)	)	PUNCT
fumecheng-3502	143	3	.	.	PUNCT
fumecheng-3502	144	1	this	this	DET
fumecheng-3502	144	2	value	value	NOUN
fumecheng-3502	144	3	agrees	agree	VERB
fumecheng-3502	144	4	well	well	ADV
fumecheng-3502	144	5	with	with	ADP
fumecheng-3502	144	6	the	the	DET
fumecheng-3502	144	7	values	value	NOUN
fumecheng-3502	144	8	of	of	ADP
fumecheng-3502	144	9	exponents	exponent	NOUN
fumecheng-3502	144	10	s	s	PART
fumecheng-3502	144	11	and	and	CCONJ
fumecheng-3502	144	12	q	q	NOUN
fumecheng-3502	144	13	,	,	PUNCT
fumecheng-3502	144	14	which	which	PRON
fumecheng-3502	144	15	enter	enter	VERB
fumecheng-3502	144	16	eqs	eqs	PROPN
fumecheng-3502	144	17	.	.	PUNCT
fumecheng-3502	145	1	(	(	PUNCT
fumecheng-3502	145	2	6	6	NUM
fumecheng-3502	145	3	)	)	PUNCT
fumecheng-3502	145	4	and	and	CCONJ
fumecheng-3502	145	5	(	(	PUNCT
fumecheng-3502	145	6	7	7	X
fumecheng-3502	145	7	)	)	PUNCT
fumecheng-3502	145	8	correspondingly	correspondingly	ADV
fumecheng-3502	145	9	.	.	PUNCT
fumecheng-3502	146	1	the	the	DET
fumecheng-3502	146	2	given	give	VERB
fumecheng-3502	146	3	fact	fact	NOUN
fumecheng-3502	146	4	demonstrates	demonstrate	VERB
fumecheng-3502	146	5	that	that	SCONJ
fumecheng-3502	146	6	the	the	DET
fumecheng-3502	146	7	character	character	NOUN
fumecheng-3502	146	8	of	of	ADP
fumecheng-3502	146	9	the	the	DET
fumecheng-3502	146	10	dependence	dependence	NOUN
fumecheng-3502	146	11	of	of	ADP
fumecheng-3502	146	12	contact	contact	NOUN
fumecheng-3502	146	13	strength	strength	NOUN
fumecheng-3502	146	14	on	on	ADP
fumecheng-3502	146	15	element	element	ADJ
fumecheng-3502	146	16	size	size	NOUN
fumecheng-3502	146	17	is	be	AUX
fumecheng-3502	146	18	determined	determine	VERB
fumecheng-3502	146	19	by	by	ADP
fumecheng-3502	146	20	stress	stress	ADJ
fumecheng-3502	146	21	distribution	distribution	NOUN
fumecheng-3502	146	22	in	in	ADP
fumecheng-3502	146	23	a	a	DET
fumecheng-3502	146	24	contact	contact	NOUN
fumecheng-3502	146	25	area	area	NOUN
fumecheng-3502	146	26	.	.	PUNCT
fumecheng-3502	147	1	the	the	DET
fumecheng-3502	147	2	analytic	analytic	ADJ
fumecheng-3502	147	3	estimate	estimate	NOUN
fumecheng-3502	147	4	of	of	ADP
fumecheng-3502	147	5	parameter	parameter	PROPN
fumecheng-3502	147	6	λ	λ	PROPN
fumecheng-3502	147	7	,	,	PUNCT
fumecheng-3502	147	8	calculated	calculate	VERB
fumecheng-3502	147	9	by	by	ADP
fumecheng-3502	147	10	means	mean	NOUN
fumecheng-3502	147	11	of	of	ADP
fumecheng-3502	147	12	solution	solution	NOUN
fumecheng-3502	147	13	of	of	ADP
fumecheng-3502	147	14	eq	eq	PROPN
fumecheng-3502	147	15	.	.	PUNCT
fumecheng-3502	148	1	(	(	PUNCT
fumecheng-3502	148	2	11	11	NUM
fumecheng-3502	148	3	)	)	PUNCT
fumecheng-3502	148	4	,	,	PUNCT
fumecheng-3502	148	5	is	be	AUX
fumecheng-3502	148	6	λ	λ	PROPN
fumecheng-3502	148	7	≈	≈	PROPN
fumecheng-3502	148	8	0.226	0.226	NUM
fumecheng-3502	148	9	for	for	ADP
fumecheng-3502	148	10	e	e	NOUN
fumecheng-3502	148	11	=	=	SYM
fumecheng-3502	148	12	1	1	X
fumecheng-3502	148	13	.	.	PUNCT
fumecheng-3502	149	1	the	the	DET
fumecheng-3502	149	2	discrepancy	discrepancy	NOUN
fumecheng-3502	149	3	between	between	ADP
fumecheng-3502	149	4	the	the	DET
fumecheng-3502	149	5	given	give	VERB
fumecheng-3502	149	6	analytic	analytic	ADJ
fumecheng-3502	149	7	estimate	estimate	NOUN
fumecheng-3502	149	8	and	and	CCONJ
fumecheng-3502	149	9	the	the	DET
fumecheng-3502	149	10	value	value	NOUN
fumecheng-3502	149	11	of	of	ADP
fumecheng-3502	149	12	λ	λ	PROPN
fumecheng-3502	149	13	,	,	PUNCT
fumecheng-3502	149	14	obtained	obtain	VERB
fumecheng-3502	149	15	on	on	ADP
fumecheng-3502	149	16	the	the	DET
fumecheng-3502	149	17	basis	basis	NOUN
fumecheng-3502	149	18	of	of	ADP
fumecheng-3502	149	19	approximation	approximation	NOUN
fumecheng-3502	149	20	of	of	ADP
fumecheng-3502	149	21	numerical	numerical	PROPN
fumecheng-3502	149	22	simulation	simulation	PROPN
fumecheng-3502	149	23	results	result	NOUN
fumecheng-3502	149	24	(	(	PUNCT
fumecheng-3502	149	25	see	see	VERB
fumecheng-3502	149	26	.	.	PUNCT
fumecheng-3502	150	1	fig	fig	NOUN
fumecheng-3502	150	2	.	.	PUNCT
fumecheng-3502	151	1	2	2	NUM
fumecheng-3502	151	2	)	)	PUNCT
fumecheng-3502	151	3	,	,	PUNCT
fumecheng-3502	151	4	has	have	VERB
fumecheng-3502	151	5	the	the	DET
fumecheng-3502	151	6	following	follow	VERB
fumecheng-3502	151	7	reason	reason	NOUN
fumecheng-3502	151	8	:	:	PUNCT
fumecheng-3502	151	9	we	we	PRON
fumecheng-3502	151	10	applied	apply	VERB
fumecheng-3502	151	11	eq	eq	ADP
fumecheng-3502	151	12	.	.	PUNCT
fumecheng-3502	152	1	(	(	PUNCT
fumecheng-3502	152	2	9	9	NUM
fumecheng-3502	152	3	)	)	PUNCT
fumecheng-3502	152	4	for	for	ADP
fumecheng-3502	152	5	approximation	approximation	NOUN
fumecheng-3502	152	6	of	of	ADP
fumecheng-3502	152	7	the	the	DET
fumecheng-3502	152	8	von	von	PROPN
fumecheng-3502	152	9	mises	mises	PROPN
fumecheng-3502	152	10	stress	stress	VERB
fumecheng-3502	152	11	distribution	distribution	NOUN
fumecheng-3502	152	12	in	in	ADP
fumecheng-3502	152	13	the	the	DET
fumecheng-3502	152	14	contact	contact	NOUN
fumecheng-3502	152	15	area	area	NOUN
fumecheng-3502	152	16	although	although	SCONJ
fumecheng-3502	152	17	the	the	DET
fumecheng-3502	152	18	given	give	VERB
fumecheng-3502	152	19	equation	equation	NOUN
fumecheng-3502	152	20	was	be	AUX
fumecheng-3502	152	21	initially	initially	ADV
fumecheng-3502	152	22	obtained	obtain	VERB
fumecheng-3502	152	23	for	for	ADP
fumecheng-3502	152	24	description	description	NOUN
fumecheng-3502	152	25	of	of	ADP
fumecheng-3502	152	26	normal	normal	ADJ
fumecheng-3502	152	27	stress	stress	NOUN
fumecheng-3502	152	28	distribution	distribution	NOUN
fumecheng-3502	152	29	,	,	PUNCT
fumecheng-3502	152	30	taking	take	VERB
fumecheng-3502	152	31	no	no	DET
fumecheng-3502	152	32	account	account	NOUN
fumecheng-3502	152	33	of	of	ADP
fumecheng-3502	152	34	squeezing	squeeze	VERB
fumecheng-3502	152	35	and	and	CCONJ
fumecheng-3502	152	36	bending	bending	NOUN
fumecheng-3502	152	37	of	of	ADP
fumecheng-3502	152	38	a	a	DET
fumecheng-3502	152	39	material	material	NOUN
fumecheng-3502	152	40	in	in	ADP
fumecheng-3502	152	41	the	the	DET
fumecheng-3502	152	42	contact	contact	NOUN
fumecheng-3502	152	43	area	area	NOUN
fumecheng-3502	152	44	and	and	CCONJ
fumecheng-3502	152	45	surroundings	surrounding	NOUN
fumecheng-3502	152	46	.	.	PUNCT
fumecheng-3502	153	1	fig	fig	NOUN
fumecheng-3502	153	2	.	.	PUNCT
fumecheng-3502	154	1	5	5	NUM
fumecheng-3502	154	2	normalized	normalize	VERB
fumecheng-3502	154	3	dependence	dependence	NOUN
fumecheng-3502	154	4	of	of	ADP
fumecheng-3502	154	5	the	the	DET
fumecheng-3502	154	6	von	von	PROPN
fumecheng-3502	154	7	mises	mises	PROPN
fumecheng-3502	154	8	stress	stress	VERB
fumecheng-3502	154	9	under	under	ADP
fumecheng-3502	154	10	the	the	DET
fumecheng-3502	154	11	punch	punch	NOUN
fumecheng-3502	154	12	and	and	CCONJ
fumecheng-3502	154	13	its	its	PRON
fumecheng-3502	154	14	analytic	analytic	ADJ
fumecheng-3502	154	15	approximation	approximation	NOUN
fumecheng-3502	154	16	epunch	epunch	NOUN
fumecheng-3502	154	17	=	=	PUNCT
fumecheng-3502	154	18	ehalf	ehalf	NOUN
fumecheng-3502	154	19	-	-	PUNCT
fumecheng-3502	154	20	space	space	NOUN
fumecheng-3502	154	21	.	.	PUNCT
fumecheng-3502	155	1	simulation	simulation	NOUN
fumecheng-3502	155	2	of	of	ADP
fumecheng-3502	155	3	fracture	fracture	NOUN
fumecheng-3502	155	4	using	use	VERB
fumecheng-3502	155	5	a	a	DET
fumecheng-3502	155	6	mesh	mesh	NOUN
fumecheng-3502	155	7	-	-	PUNCT
fumecheng-3502	155	8	dependent	dependent	ADJ
fumecheng-3502	155	9	fracture	fracture	NOUN
fumecheng-3502	155	10	criterion	criterion	NOUN
fumecheng-3502	155	11	in	in	ADP
fumecheng-3502	155	12	a	a	DET
fumecheng-3502	155	13	discrete	discrete	ADJ
fumecheng-3502	155	14	element	element	NOUN
fumecheng-3502	155	15	method	method	NOUN
fumecheng-3502	155	16	49	49	NUM
fumecheng-3502	155	17	based	base	VERB
fumecheng-3502	155	18	on	on	ADP
fumecheng-3502	155	19	the	the	DET
fumecheng-3502	155	20	results	result	NOUN
fumecheng-3502	155	21	described	describe	VERB
fumecheng-3502	155	22	above	above	ADV
fumecheng-3502	156	1	,	,	PUNCT
fumecheng-3502	156	2	we	we	PRON
fumecheng-3502	156	3	suggest	suggest	VERB
fumecheng-3502	156	4	an	an	DET
fumecheng-3502	156	5	equation	equation	NOUN
fumecheng-3502	156	6	for	for	ADP
fumecheng-3502	156	7	the	the	DET
fumecheng-3502	156	8	value	value	NOUN
fumecheng-3502	156	9	of	of	ADP
fumecheng-3502	156	10	ultimate	ultimate	ADJ
fumecheng-3502	156	11	stress	stress	NOUN
fumecheng-3502	156	12	in	in	ADP
fumecheng-3502	156	13	the	the	DET
fumecheng-3502	156	14	von	von	PROPN
fumecheng-3502	156	15	mises	mises	PROPN
fumecheng-3502	156	16	failure	failure	NOUN
fumecheng-3502	156	17	criterion	criterion	NOUN
fumecheng-3502	156	18	:	:	PUNCT
fumecheng-3502	156	19	(	(	PUNCT
fumecheng-3502	156	20	)	)	PUNCT
fumecheng-3502	156	21	0	0	NUM
fumecheng-3502	156	22	0	0	NUM
fumecheng-3502	156	23	(	(	PUNCT
fumecheng-3502	156	24	)	)	PUNCT
fumecheng-3502	156	25	e	e	PROPN
fumecheng-3502	156	26	mises	mises	PROPN
fumecheng-3502	156	27	d	d	PROPN
fumecheng-3502	156	28	y	y	PROPN
fumecheng-3502	156	29	d	d	X
fumecheng-3502	156	30	y	y	PROPN
fumecheng-3502	156	31	d	d	PROPN
fumecheng-3502	156	32			X
fumecheng-3502	156	33			NOUN
fumecheng-3502	156	34			PROPN
fumecheng-3502	157	1			PROPN
fumecheng-3502	158	1			PROPN
fumecheng-3502	158	2			PROPN
fumecheng-3502	159	1			PROPN
fumecheng-3502	159	2			NOUN
fumecheng-3502	159	3	,	,	PUNCT
fumecheng-3502	159	4	(	(	PUNCT
fumecheng-3502	159	5	12	12	NUM
fumecheng-3502	159	6	)	)	PUNCT
fumecheng-3502	159	7	where	where	SCONJ
fumecheng-3502	159	8	λ(e	λ(e	VERB
fumecheng-3502	159	9	)	)	PUNCT
fumecheng-3502	159	10	is	be	AUX
fumecheng-3502	159	11	a	a	DET
fumecheng-3502	159	12	function	function	NOUN
fumecheng-3502	159	13	of	of	ADP
fumecheng-3502	159	14	the	the	DET
fumecheng-3502	159	15	relation	relation	NOUN
fumecheng-3502	160	1	e	e	NOUN
fumecheng-3502	160	2	=	=	NOUN
fumecheng-3502	160	3	epunch	epunch	ADJ
fumecheng-3502	160	4	/	/	SYM
fumecheng-3502	160	5	ehalf	ehalf	NOUN
fumecheng-3502	160	6	-	-	PUNCT
fumecheng-3502	160	7	space	space	NOUN
fumecheng-3502	160	8	,	,	PUNCT
fumecheng-3502	160	9	the	the	DET
fumecheng-3502	160	10	value	value	NOUN
fumecheng-3502	160	11	of	of	ADP
fumecheng-3502	160	12	y0	y0	PROPN
fumecheng-3502	160	13	depends	depend	VERB
fumecheng-3502	160	14	on	on	ADP
fumecheng-3502	160	15	material	material	NOUN
fumecheng-3502	160	16	strength	strength	NOUN
fumecheng-3502	160	17	,	,	PUNCT
fumecheng-3502	160	18	ratio	ratio	NOUN
fumecheng-3502	160	19	e	e	NOUN
fumecheng-3502	160	20	,	,	PUNCT
fumecheng-3502	160	21	contact	contact	NOUN
fumecheng-3502	160	22	size	size	NOUN
fumecheng-3502	160	23	,	,	PUNCT
fumecheng-3502	160	24	etc	etc	X
fumecheng-3502	160	25	.	.	X
fumecheng-3502	160	26	obtaining	obtain	VERB
fumecheng-3502	160	27	closed	closed	ADJ
fumecheng-3502	160	28	-	-	PUNCT
fumecheng-3502	160	29	form	form	NOUN
fumecheng-3502	160	30	equations	equation	NOUN
fumecheng-3502	160	31	for	for	ADP
fumecheng-3502	160	32	λ(e	λ(e	NOUN
fumecheng-3502	160	33	)	)	PUNCT
fumecheng-3502	160	34	and	and	CCONJ
fumecheng-3502	160	35	y0	y0	NOUN
fumecheng-3502	160	36	requires	require	VERB
fumecheng-3502	160	37	additional	additional	ADJ
fumecheng-3502	160	38	research	research	NOUN
fumecheng-3502	160	39	.	.	PUNCT
fumecheng-3502	161	1	application	application	NOUN
fumecheng-3502	161	2	of	of	ADP
fumecheng-3502	161	3	eq	eq	PROPN
fumecheng-3502	161	4	.	.	PUNCT
fumecheng-3502	162	1	(	(	PUNCT
fumecheng-3502	162	2	12	12	NUM
fumecheng-3502	162	3	)	)	PUNCT
fumecheng-3502	162	4	in	in	ADP
fumecheng-3502	162	5	fracture	fracture	NOUN
fumecheng-3502	162	6	criterion	criterion	NOUN
fumecheng-3502	162	7	(	(	PUNCT
fumecheng-3502	162	8	5	5	NUM
fumecheng-3502	162	9	)	)	PUNCT
fumecheng-3502	162	10	allows	allow	VERB
fumecheng-3502	162	11	obtaining	obtain	VERB
fumecheng-3502	162	12	almost	almost	ADV
fumecheng-3502	162	13	the	the	DET
fumecheng-3502	162	14	same	same	ADJ
fumecheng-3502	162	15	values	value	NOUN
fumecheng-3502	162	16	of	of	ADP
fumecheng-3502	162	17	tensile	tensile	NOUN
fumecheng-3502	162	18	strength	strength	NOUN
fumecheng-3502	162	19	of	of	ADP
fumecheng-3502	162	20	samples	sample	NOUN
fumecheng-3502	162	21	with	with	ADP
fumecheng-3502	162	22	different	different	ADJ
fumecheng-3502	162	23	element	element	NOUN
fumecheng-3502	162	24	size	size	NOUN
fumecheng-3502	162	25	(	(	PUNCT
fumecheng-3502	162	26	see	see	VERB
fumecheng-3502	162	27	figs	fig	NOUN
fumecheng-3502	162	28	.	.	PUNCT
fumecheng-3502	163	1	6a	6a	NOUN
fumecheng-3502	163	2	and	and	CCONJ
fumecheng-3502	163	3	6b	6b	NUM
fumecheng-3502	163	4	)	)	PUNCT
fumecheng-3502	163	5	.	.	PUNCT
fumecheng-3502	164	1	one	one	PRON
fumecheng-3502	164	2	can	can	AUX
fumecheng-3502	164	3	see	see	VERB
fumecheng-3502	164	4	that	that	SCONJ
fumecheng-3502	164	5	the	the	DET
fumecheng-3502	164	6	loading	loading	NOUN
fumecheng-3502	164	7	diagrams	diagram	NOUN
fumecheng-3502	164	8	of	of	ADP
fumecheng-3502	164	9	samples	sample	NOUN
fumecheng-3502	164	10	under	under	ADP
fumecheng-3502	164	11	tension	tension	NOUN
fumecheng-3502	164	12	are	be	AUX
fumecheng-3502	164	13	almost	almost	ADV
fumecheng-3502	164	14	identical	identical	ADJ
fumecheng-3502	164	15	(	(	PUNCT
fumecheng-3502	164	16	fig	fig	NOUN
fumecheng-3502	164	17	.	.	PUNCT
fumecheng-3502	164	18	6b	6b	NOUN
fumecheng-3502	164	19	)	)	PUNCT
fumecheng-3502	164	20	.	.	PUNCT
fumecheng-3502	165	1	a	a	DET
fumecheng-3502	165	2	distinction	distinction	NOUN
fumecheng-3502	165	3	between	between	ADP
fumecheng-3502	165	4	them	they	PRON
fumecheng-3502	165	5	is	be	AUX
fumecheng-3502	165	6	conditioned	condition	VERB
fumecheng-3502	165	7	by	by	ADP
fumecheng-3502	165	8	a	a	DET
fumecheng-3502	165	9	small	small	ADJ
fumecheng-3502	165	10	difference	difference	NOUN
fumecheng-3502	165	11	of	of	ADP
fumecheng-3502	165	12	stiffness	stiffness	NOUN
fumecheng-3502	165	13	of	of	ADP
fumecheng-3502	165	14	samples	sample	NOUN
fumecheng-3502	165	15	with	with	ADP
fumecheng-3502	165	16	different	different	ADJ
fumecheng-3502	165	17	element	element	NOUN
fumecheng-3502	165	18	size	size	NOUN
fumecheng-3502	165	19	.	.	PUNCT
fumecheng-3502	166	1	the	the	DET
fumecheng-3502	166	2	deviation	deviation	NOUN
fumecheng-3502	166	3	of	of	ADP
fumecheng-3502	166	4	tensile	tensile	NOUN
fumecheng-3502	166	5	stress	stress	NOUN
fumecheng-3502	166	6	from	from	ADP
fumecheng-3502	166	7	its	its	PRON
fumecheng-3502	166	8	sample	sample	NOUN
fumecheng-3502	166	9	mean	mean	NOUN
fumecheng-3502	166	10	value	value	NOUN
fumecheng-3502	166	11	does	do	AUX
fumecheng-3502	166	12	not	not	PART
fumecheng-3502	166	13	exceed	exceed	VERB
fumecheng-3502	166	14	two	two	NUM
fumecheng-3502	166	15	percent	percent	NOUN
fumecheng-3502	166	16	(	(	PUNCT
fumecheng-3502	166	17	fig	fig	NOUN
fumecheng-3502	166	18	.	.	PUNCT
fumecheng-3502	166	19	6b	6b	NUM
fumecheng-3502	166	20	)	)	PUNCT
fumecheng-3502	166	21	.	.	PUNCT
fumecheng-3502	167	1	it	it	PRON
fumecheng-3502	167	2	is	be	AUX
fumecheng-3502	167	3	a	a	DET
fumecheng-3502	167	4	well	well	ADV
fumecheng-3502	167	5	-	-	PUNCT
fumecheng-3502	167	6	known	know	VERB
fumecheng-3502	167	7	fact	fact	NOUN
fumecheng-3502	167	8	that	that	SCONJ
fumecheng-3502	167	9	macroscopic	macroscopic	ADJ
fumecheng-3502	167	10	plasticity	plasticity	NOUN
fumecheng-3502	167	11	of	of	ADP
fumecheng-3502	167	12	brittle	brittle	ADJ
fumecheng-3502	167	13	solids	solid	NOUN
fumecheng-3502	167	14	is	be	AUX
fumecheng-3502	167	15	often	often	ADV
fumecheng-3502	167	16	a	a	DET
fumecheng-3502	167	17	consequence	consequence	NOUN
fumecheng-3502	167	18	of	of	ADP
fumecheng-3502	167	19	microscopic	microscopic	ADJ
fumecheng-3502	167	20	failures	failure	NOUN
fumecheng-3502	167	21	nucleation	nucleation	NOUN
fumecheng-3502	167	22	,	,	PUNCT
fumecheng-3502	167	23	motion	motion	NOUN
fumecheng-3502	167	24	and	and	CCONJ
fumecheng-3502	167	25	healing	healing	NOUN
fumecheng-3502	167	26	[	[	X
fumecheng-3502	167	27	22	22	NUM
fumecheng-3502	167	28	]	]	PUNCT
fumecheng-3502	167	29	.	.	PUNCT
fumecheng-3502	168	1	this	this	PRON
fumecheng-3502	168	2	is	be	AUX
fumecheng-3502	168	3	one	one	NUM
fumecheng-3502	168	4	of	of	ADP
fumecheng-3502	168	5	the	the	DET
fumecheng-3502	168	6	facts	fact	NOUN
fumecheng-3502	168	7	underlining	underline	VERB
fumecheng-3502	168	8	similarity	similarity	NOUN
fumecheng-3502	168	9	and	and	CCONJ
fumecheng-3502	168	10	interconnectedness	interconnectedness	NOUN
fumecheng-3502	168	11	of	of	ADP
fumecheng-3502	168	12	plasticity	plasticity	NOUN
fumecheng-3502	168	13	and	and	CCONJ
fumecheng-3502	168	14	fracture	fracture	NOUN
fumecheng-3502	168	15	phenomena	phenomenon	NOUN
fumecheng-3502	168	16	.	.	PUNCT
fumecheng-3502	169	1	from	from	ADP
fumecheng-3502	169	2	this	this	DET
fumecheng-3502	169	3	point	point	NOUN
fumecheng-3502	169	4	of	of	ADP
fumecheng-3502	169	5	view	view	NOUN
fumecheng-3502	169	6	it	it	PRON
fumecheng-3502	169	7	is	be	AUX
fumecheng-3502	169	8	obvious	obvious	ADJ
fumecheng-3502	169	9	to	to	PART
fumecheng-3502	169	10	make	make	VERB
fumecheng-3502	169	11	an	an	DET
fumecheng-3502	169	12	assumption	assumption	NOUN
fumecheng-3502	169	13	about	about	ADP
fumecheng-3502	169	14	an	an	DET
fumecheng-3502	169	15	existence	existence	NOUN
fumecheng-3502	169	16	of	of	ADP
fumecheng-3502	169	17	mesh	mesh	NOUN
fumecheng-3502	169	18	-	-	PUNCT
fumecheng-3502	169	19	dependent	dependent	ADJ
fumecheng-3502	169	20	criterion	criterion	NOUN
fumecheng-3502	169	21	of	of	ADP
fumecheng-3502	169	22	plasticity	plasticity	NOUN
fumecheng-3502	169	23	.	.	PUNCT
fumecheng-3502	170	1	the	the	DET
fumecheng-3502	170	2	latter	latter	ADJ
fumecheng-3502	170	3	is	be	AUX
fumecheng-3502	170	4	the	the	DET
fumecheng-3502	170	5	topic	topic	NOUN
fumecheng-3502	170	6	for	for	ADP
fumecheng-3502	170	7	a	a	DET
fumecheng-3502	170	8	future	future	ADJ
fumecheng-3502	170	9	work	work	NOUN
fumecheng-3502	170	10	.	.	PUNCT
fumecheng-3502	171	1	fig	fig	NOUN
fumecheng-3502	171	2	.	.	PUNCT
fumecheng-3502	172	1	6	6	NUM
fumecheng-3502	172	2	a	a	X
fumecheng-3502	172	3	)	)	PUNCT
fumecheng-3502	172	4	the	the	DET
fumecheng-3502	172	5	diagrams	diagram	NOUN
fumecheng-3502	172	6	of	of	ADP
fumecheng-3502	172	7	tensile	tensile	NOUN
fumecheng-3502	172	8	loading	loading	NOUN
fumecheng-3502	172	9	for	for	ADP
fumecheng-3502	172	10	samples	sample	NOUN
fumecheng-3502	172	11	with	with	ADP
fumecheng-3502	172	12	different	different	ADJ
fumecheng-3502	172	13	element	element	NOUN
fumecheng-3502	172	14	size	size	NOUN
fumecheng-3502	172	15	;	;	PUNCT
fumecheng-3502	172	16	b	b	X
fumecheng-3502	172	17	)	)	PUNCT
fumecheng-3502	172	18	the	the	DET
fumecheng-3502	172	19	deviation	deviation	NOUN
fumecheng-3502	172	20	of	of	ADP
fumecheng-3502	172	21	tensile	tensile	NOUN
fumecheng-3502	172	22	strength	strength	NOUN
fumecheng-3502	172	23	from	from	ADP
fumecheng-3502	172	24	its	its	PRON
fumecheng-3502	172	25	mean	mean	ADJ
fumecheng-3502	172	26	value	value	NOUN
fumecheng-3502	172	27	vs.	vs.	ADP
fumecheng-3502	172	28	element	element	NOUN
fumecheng-3502	172	29	size	size	NOUN
fumecheng-3502	172	30	epunch	epunch	NOUN
fumecheng-3502	172	31	=	=	SYM
fumecheng-3502	172	32	ehalf	ehalf	NOUN
fumecheng-3502	172	33	-	-	PUNCT
fumecheng-3502	172	34	space	space	NOUN
fumecheng-3502	172	35	5	5	NUM
fumecheng-3502	172	36	.	.	PUNCT
fumecheng-3502	172	37	conclusions	conclusion	NOUN
fumecheng-3502	172	38	we	we	PRON
fumecheng-3502	172	39	have	have	AUX
fumecheng-3502	172	40	carried	carry	VERB
fumecheng-3502	172	41	out	out	ADP
fumecheng-3502	172	42	the	the	DET
fumecheng-3502	172	43	numerical	numerical	ADJ
fumecheng-3502	172	44	simulation	simulation	NOUN
fumecheng-3502	172	45	of	of	ADP
fumecheng-3502	172	46	a	a	DET
fumecheng-3502	172	47	contact	contact	NOUN
fumecheng-3502	172	48	between	between	ADP
fumecheng-3502	172	49	an	an	DET
fumecheng-3502	172	50	elastic	elastic	ADJ
fumecheng-3502	172	51	punch	punch	NOUN
fumecheng-3502	172	52	and	and	CCONJ
fumecheng-3502	172	53	a	a	DET
fumecheng-3502	172	54	half	half	ADJ
fumecheng-3502	172	55	-	-	PUNCT
fumecheng-3502	172	56	space	space	NOUN
fumecheng-3502	172	57	within	within	ADP
fumecheng-3502	172	58	the	the	DET
fumecheng-3502	172	59	discrete	discrete	ADJ
fumecheng-3502	172	60	element	element	NOUN
fumecheng-3502	172	61	method	method	NOUN
fumecheng-3502	172	62	.	.	PUNCT
fumecheng-3502	173	1	we	we	PRON
fumecheng-3502	173	2	have	have	AUX
fumecheng-3502	173	3	shown	show	VERB
fumecheng-3502	173	4	that	that	SCONJ
fumecheng-3502	173	5	the	the	DET
fumecheng-3502	173	6	use	use	NOUN
fumecheng-3502	173	7	of	of	ADP
fumecheng-3502	173	8	local	local	ADJ
fumecheng-3502	173	9	detachment	detachment	NOUN
fumecheng-3502	173	10	criterion	criterion	NOUN
fumecheng-3502	173	11	without	without	ADP
fumecheng-3502	173	12	accounting	account	VERB
fumecheng-3502	173	13	for	for	ADP
fumecheng-3502	173	14	a	a	DET
fumecheng-3502	173	15	discrete	discrete	ADJ
fumecheng-3502	173	16	element	element	NOUN
fumecheng-3502	173	17	size	size	NOUN
fumecheng-3502	173	18	leads	lead	VERB
fumecheng-3502	173	19	to	to	ADP
fumecheng-3502	173	20	a	a	DET
fumecheng-3502	173	21	power	power	NOUN
fumecheng-3502	173	22	-	-	PUNCT
fumecheng-3502	173	23	law	law	NOUN
fumecheng-3502	173	24	dependence	dependence	NOUN
fumecheng-3502	173	25	of	of	ADP
fumecheng-3502	173	26	contact	contact	NOUN
fumecheng-3502	173	27	strength	strength	NOUN
fumecheng-3502	173	28	on	on	ADP
fumecheng-3502	173	29	element	element	ADJ
fumecheng-3502	173	30	size	size	NOUN
fumecheng-3502	173	31	.	.	PUNCT
fumecheng-3502	174	1	the	the	DET
fumecheng-3502	174	2	value	value	NOUN
fumecheng-3502	174	3	of	of	ADP
fumecheng-3502	174	4	exponent	exponent	NOUN
fumecheng-3502	174	5	in	in	ADP
fumecheng-3502	174	6	this	this	DET
fumecheng-3502	174	7	dependence	dependence	NOUN
fumecheng-3502	174	8	is	be	AUX
fumecheng-3502	174	9	approximately	approximately	ADV
fumecheng-3502	174	10	equal	equal	ADJ
fumecheng-3502	174	11	to	to	ADP
fumecheng-3502	174	12	0.4±0.01	0.4±0.01	NUM
fumecheng-3502	174	13	both	both	PRON
fumecheng-3502	174	14	for	for	ADP
fumecheng-3502	174	15	tensile	tensile	NOUN
fumecheng-3502	174	16	loading	loading	NOUN
fumecheng-3502	174	17	and	and	CCONJ
fumecheng-3502	174	18	for	for	ADP
fumecheng-3502	174	19	shearing	shearing	NOUN
fumecheng-3502	174	20	.	.	PUNCT
fumecheng-3502	175	1	based	base	VERB
fumecheng-3502	175	2	on	on	ADP
fumecheng-3502	175	3	the	the	DET
fumecheng-3502	175	4	obtained	obtain	VERB
fumecheng-3502	175	5	results	result	NOUN
fumecheng-3502	175	6	we	we	PRON
fumecheng-3502	175	7	have	have	AUX
fumecheng-3502	175	8	proposed	propose	VERB
fumecheng-3502	175	9	a	a	DET
fumecheng-3502	175	10	mesh	mesh	NOUN
fumecheng-3502	175	11	-	-	PUNCT
fumecheng-3502	175	12	dependent	dependent	ADJ
fumecheng-3502	175	13	fracture	fracture	NOUN
fumecheng-3502	175	14	criterion	criterion	NOUN
fumecheng-3502	175	15	which	which	PRON
fumecheng-3502	175	16	explicitly	explicitly	ADV
fumecheng-3502	175	17	includes	include	VERB
fumecheng-3502	175	18	the	the	DET
fumecheng-3502	175	19	discrete	discrete	ADJ
fumecheng-3502	175	20	element	element	NOUN
fumecheng-3502	175	21	size	size	NOUN
fumecheng-3502	175	22	.	.	PUNCT
fumecheng-3502	176	1	the	the	DET
fumecheng-3502	176	2	suggested	suggest	VERB
fumecheng-3502	176	3	fracture	fracture	PROPN
fumecheng-3502	176	4	criterion	criterion	NOUN
fumecheng-3502	176	5	provides	provide	VERB
fumecheng-3502	176	6	almost	almost	ADV
fumecheng-3502	176	7	size	size	NOUN
fumecheng-3502	176	8	-	-	PUNCT
fumecheng-3502	176	9	independent	independent	ADJ
fumecheng-3502	176	10	values	value	NOUN
fumecheng-3502	176	11	of	of	ADP
fumecheng-3502	176	12	tensile	tensile	NOUN
fumecheng-3502	176	13	and	and	CCONJ
fumecheng-3502	176	14	shear	shear	NOUN
fumecheng-3502	176	15	strength	strength	NOUN
fumecheng-3502	176	16	for	for	ADP
fumecheng-3502	176	17	a	a	DET
fumecheng-3502	176	18	punch	punch	NOUN
fumecheng-3502	176	19	detachment	detachment	NOUN
fumecheng-3502	176	20	from	from	ADP
fumecheng-3502	176	21	a	a	DET
fumecheng-3502	176	22	half	half	ADJ
fumecheng-3502	176	23	-	-	PUNCT
fumecheng-3502	176	24	space	space	NOUN
fumecheng-3502	176	25	.	.	PUNCT
fumecheng-3502	177	1	although	although	SCONJ
fumecheng-3502	177	2	the	the	DET
fumecheng-3502	177	3	obtained	obtain	VERB
fumecheng-3502	177	4	fracture	fracture	NOUN
fumecheng-3502	177	5	criterion	criterion	NOUN
fumecheng-3502	177	6	is	be	AUX
fumecheng-3502	177	7	not	not	PART
fumecheng-3502	177	8	universal	universal	ADJ
fumecheng-3502	177	9	,	,	PUNCT
fumecheng-3502	177	10	it	it	PRON
fumecheng-3502	177	11	demonstrates	demonstrate	VERB
fumecheng-3502	177	12	a	a	DET
fumecheng-3502	177	13	50	50	NUM
fumecheng-3502	177	14	a.	a.	NOUN
fumecheng-3502	177	15	dimaki	dimaki	NOUN
fumecheng-3502	177	16	,	,	PUNCT
fumecheng-3502	177	17	e.	e.	PROPN
fumecheng-3502	177	18	shilko	shilko	PROPN
fumecheng-3502	177	19	,	,	PUNCT
fumecheng-3502	177	20	s.	s.	PROPN
fumecheng-3502	177	21	psakhie	psakhie	PROPN
fumecheng-3502	177	22	,	,	PUNCT
fumecheng-3502	177	23	v.	v.	ADP
fumecheng-3502	177	24	popov	popov	PROPN
fumecheng-3502	177	25	perspective	perspective	NOUN
fumecheng-3502	177	26	of	of	ADP
fumecheng-3502	177	27	development	development	NOUN
fumecheng-3502	177	28	of	of	ADP
fumecheng-3502	177	29	discrete	discrete	ADJ
fumecheng-3502	177	30	-	-	PUNCT
fumecheng-3502	177	31	element	element	NOUN
fumecheng-3502	177	32	models	model	NOUN
fumecheng-3502	177	33	for	for	ADP
fumecheng-3502	177	34	brittle	brittle	ADJ
fumecheng-3502	177	35	and	and	CCONJ
fumecheng-3502	177	36	elastic	elastic	ADJ
fumecheng-3502	177	37	-	-	PUNCT
fumecheng-3502	177	38	plastic	plastic	NOUN
fumecheng-3502	177	39	materials	material	NOUN
fumecheng-3502	177	40	with	with	ADP
fumecheng-3502	177	41	stress	stress	NOUN
fumecheng-3502	177	42	concentrators	concentrator	NOUN
fumecheng-3502	177	43	.	.	PUNCT
fumecheng-3502	178	1	acknowledgements	acknowledgement	NOUN
fumecheng-3502	178	2	:	:	PUNCT
fumecheng-3502	178	3	this	this	DET
fumecheng-3502	178	4	work	work	NOUN
fumecheng-3502	178	5	was	be	AUX
fumecheng-3502	178	6	supported	support	VERB
fumecheng-3502	178	7	in	in	ADP
fumecheng-3502	178	8	parts	part	NOUN
fumecheng-3502	178	9	by	by	ADP
fumecheng-3502	178	10	the	the	DET
fumecheng-3502	178	11	fundamental	fundamental	ADJ
fumecheng-3502	178	12	research	research	NOUN
fumecheng-3502	178	13	program	program	NOUN
fumecheng-3502	178	14	of	of	ADP
fumecheng-3502	178	15	the	the	DET
fumecheng-3502	178	16	state	state	NOUN
fumecheng-3502	178	17	academies	academy	NOUN
fumecheng-3502	178	18	of	of	ADP
fumecheng-3502	178	19	science	science	NOUN
fumecheng-3502	178	20	for	for	ADP
fumecheng-3502	178	21	2013	2013	NUM
fumecheng-3502	178	22	-	-	SYM
fumecheng-3502	178	23	2020	2020	NUM
fumecheng-3502	178	24	(	(	PUNCT
fumecheng-3502	178	25	russia	russia	PROPN
fumecheng-3502	178	26	)	)	PUNCT
fumecheng-3502	178	27	and	and	CCONJ
fumecheng-3502	178	28	by	by	ADP
fumecheng-3502	178	29	the	the	DET
fumecheng-3502	178	30	deutscher	deutscher	PROPN
fumecheng-3502	178	31	akademischer	akademischer	NOUN
fumecheng-3502	178	32	austauschdienst	austauschdienst	ADP
fumecheng-3502	178	33	(	(	PUNCT
fumecheng-3502	178	34	daad	daad	PROPN
fumecheng-3502	178	35	)	)	PUNCT
fumecheng-3502	178	36	.	.	PUNCT
fumecheng-3502	179	1	references	reference	NOUN
fumecheng-3502	179	2	1	1	NUM
fumecheng-3502	179	3	.	.	PUNCT
fumecheng-3502	179	4	hertz	hertz	NOUN
fumecheng-3502	179	5	,	,	PUNCT
fumecheng-3502	179	6	h.	h.	PROPN
fumecheng-3502	179	7	,	,	PUNCT
fumecheng-3502	179	8	1881	1881	NUM
fumecheng-3502	179	9	,	,	PUNCT
fumecheng-3502	179	10	über	über	PROPN
fumecheng-3502	179	11	die	die	PROPN
fumecheng-3502	179	12	berührung	berührung	PROPN
fumecheng-3502	179	13	fester	fester	PROPN
fumecheng-3502	179	14	elastischer	elastischer	ADJ
fumecheng-3502	179	15	körper	körper	NOUN
fumecheng-3502	179	16	,	,	PUNCT
fumecheng-3502	179	17	journal	journal	PROPN
fumecheng-3502	179	18	fuer	fuer	PROPN
fumecheng-3502	179	19	die	die	VERB
fumecheng-3502	179	20	reine	reine	PROPN
fumecheng-3502	179	21	und	und	PROPN
fumecheng-3502	179	22	angewandte	angewandte	PROPN
fumecheng-3502	179	23	mathematik	mathematik	PROPN
fumecheng-3502	179	24	,	,	PUNCT
fumecheng-3502	179	25	92	92	NUM
fumecheng-3502	179	26	,	,	PUNCT
fumecheng-3502	179	27	pp	pp	ADJ
fumecheng-3502	179	28	.	.	PUNCT
fumecheng-3502	180	1	156	156	NUM
fumecheng-3502	180	2	-	-	SYM
fumecheng-3502	180	3	171	171	NUM
fumecheng-3502	180	4	.	.	PUNCT
fumecheng-3502	181	1	2	2	X
fumecheng-3502	181	2	.	.	X
fumecheng-3502	181	3	johnson	johnson	PROPN
fumecheng-3502	181	4	,	,	PUNCT
fumecheng-3502	181	5	k.l	k.l	PROPN
fumecheng-3502	181	6	.	.	PROPN
fumecheng-3502	181	7	,	,	PUNCT
fumecheng-3502	181	8	1987	1987	NUM
fumecheng-3502	181	9	,	,	PUNCT
fumecheng-3502	181	10	contact	contact	NOUN
fumecheng-3502	181	11	mechanics	mechanic	NOUN
fumecheng-3502	181	12	,	,	PUNCT
fumecheng-3502	181	13	cambridge	cambridge	PROPN
fumecheng-3502	181	14	university	university	PROPN
fumecheng-3502	181	15	press	press	NOUN
fumecheng-3502	181	16	,	,	PUNCT
fumecheng-3502	181	17	452	452	NUM
fumecheng-3502	181	18	p.	p.	NOUN
fumecheng-3502	181	19	3	3	NUM
fumecheng-3502	181	20	.	.	X
fumecheng-3502	182	1	shtaerman	shtaerman	NOUN
fumecheng-3502	182	2	,	,	PUNCT
fumecheng-3502	182	3	i.ya	i.ya	PROPN
fumecheng-3502	182	4	.	.	PROPN
fumecheng-3502	182	5	,	,	PUNCT
fumecheng-3502	182	6	the	the	DET
fumecheng-3502	182	7	contact	contact	NOUN
fumecheng-3502	182	8	problem	problem	NOUN
fumecheng-3502	182	9	of	of	ADP
fumecheng-3502	182	10	the	the	DET
fumecheng-3502	182	11	theory	theory	NOUN
fumecheng-3502	182	12	of	of	ADP
fumecheng-3502	182	13	elasticity	elasticity	NOUN
fumecheng-3502	182	14	,	,	PUNCT
fumecheng-3502	182	15	moscow	moscow	PROPN
fumecheng-3502	182	16	-	-	PUNCT
fumecheng-3502	182	17	leningrad	leningrad	PROPN
fumecheng-3502	182	18	,	,	PUNCT
fumecheng-3502	182	19	271	271	NUM
fumecheng-3502	182	20	p.	p.	NOUN
fumecheng-3502	182	21	(	(	PUNCT
fumecheng-3502	182	22	in	in	ADP
fumecheng-3502	182	23	russian	russian	NOUN
fumecheng-3502	182	24	)	)	PUNCT
fumecheng-3502	182	25	.	.	PUNCT
fumecheng-3502	183	1	4	4	X
fumecheng-3502	183	2	.	.	X
fumecheng-3502	183	3	rao	rao	PROPN
fumecheng-3502	183	4	,	,	PUNCT
fumecheng-3502	183	5	a.k	a.k	PROPN
fumecheng-3502	183	6	.	.	PROPN
fumecheng-3502	183	7	,	,	PUNCT
fumecheng-3502	183	8	1971	1971	NUM
fumecheng-3502	183	9	,	,	PUNCT
fumecheng-3502	183	10	stress	stress	NOUN
fumecheng-3502	183	11	concentrations	concentration	NOUN
fumecheng-3502	183	12	and	and	CCONJ
fumecheng-3502	183	13	singularities	singularity	NOUN
fumecheng-3502	183	14	at	at	ADP
fumecheng-3502	183	15	interface	interface	NOUN
fumecheng-3502	183	16	corners	corner	NOUN
fumecheng-3502	183	17	,	,	PUNCT
fumecheng-3502	183	18	zamm	zamm	PROPN
fumecheng-3502	183	19	,	,	PUNCT
fumecheng-3502	183	20	51	51	NUM
fumecheng-3502	183	21	,	,	PUNCT
fumecheng-3502	183	22	pp	pp	ADJ
fumecheng-3502	183	23	.	.	PUNCT
fumecheng-3502	184	1	395	395	NUM
fumecheng-3502	184	2	-	-	SYM
fumecheng-3502	184	3	406	406	NUM
fumecheng-3502	184	4	.	.	PUNCT
fumecheng-3502	185	1	5	5	NUM
fumecheng-3502	185	2	.	.	X
fumecheng-3502	185	3	okubo	okubo	PROPN
fumecheng-3502	185	4	,	,	PUNCT
fumecheng-3502	185	5	h.	h.	PROPN
fumecheng-3502	185	6	,	,	PUNCT
fumecheng-3502	185	7	1951	1951	NUM
fumecheng-3502	185	8	,	,	PUNCT
fumecheng-3502	185	9	on	on	ADP
fumecheng-3502	185	10	the	the	DET
fumecheng-3502	185	11	two	two	NUM
fumecheng-3502	185	12	-	-	PUNCT
fumecheng-3502	185	13	dimensional	dimensional	ADJ
fumecheng-3502	185	14	problem	problem	NOUN
fumecheng-3502	185	15	of	of	ADP
fumecheng-3502	185	16	a	a	DET
fumecheng-3502	185	17	semi	semi	ADJ
fumecheng-3502	185	18	-	-	ADJ
fumecheng-3502	185	19	infinite	infinite	ADJ
fumecheng-3502	185	20	elastic	elastic	ADJ
fumecheng-3502	185	21	body	body	NOUN
fumecheng-3502	185	22	compressed	compress	VERB
fumecheng-3502	185	23	by	by	ADP
fumecheng-3502	185	24	an	an	DET
fumecheng-3502	185	25	elastic	elastic	ADJ
fumecheng-3502	185	26	plane	plane	NOUN
fumecheng-3502	185	27	,	,	PUNCT
fumecheng-3502	185	28	the	the	DET
fumecheng-3502	185	29	quarterly	quarterly	ADJ
fumecheng-3502	185	30	journal	journal	NOUN
fumecheng-3502	185	31	of	of	ADP
fumecheng-3502	185	32	mechanics	mechanic	NOUN
fumecheng-3502	185	33	and	and	CCONJ
fumecheng-3502	185	34	applied	apply	VERB
fumecheng-3502	185	35	mathematics	mathematic	NOUN
fumecheng-3502	185	36	,	,	PUNCT
fumecheng-3502	185	37	4(3	4(3	NUM
fumecheng-3502	185	38	)	)	PUNCT
fumecheng-3502	185	39	,	,	PUNCT
fumecheng-3502	185	40	pp	pp	PROPN
fumecheng-3502	185	41	.	.	PUNCT
fumecheng-3502	186	1	260	260	NUM
fumecheng-3502	186	2	-	-	SYM
fumecheng-3502	186	3	270	270	NUM
fumecheng-3502	186	4	.	.	NOUN
fumecheng-3502	187	1	6	6	NUM
fumecheng-3502	187	2	.	.	X
fumecheng-3502	188	1	jordan	jordan	PROPN
fumecheng-3502	188	2	,	,	PUNCT
fumecheng-3502	188	3	e.h	e.h	PROPN
fumecheng-3502	188	4	.	.	PROPN
fumecheng-3502	188	5	,	,	PUNCT
fumecheng-3502	188	6	urban	urban	ADJ
fumecheng-3502	188	7	,	,	PUNCT
fumecheng-3502	188	8	m.r	m.r	PROPN
fumecheng-3502	188	9	.	.	PROPN
fumecheng-3502	188	10	,	,	PUNCT
fumecheng-3502	188	11	1999	1999	NUM
fumecheng-3502	188	12	,	,	PUNCT
fumecheng-3502	188	13	an	an	DET
fumecheng-3502	188	14	approximate	approximate	ADJ
fumecheng-3502	188	15	analytical	analytical	ADJ
fumecheng-3502	188	16	expression	expression	NOUN
fumecheng-3502	188	17	for	for	ADP
fumecheng-3502	188	18	elastic	elastic	ADJ
fumecheng-3502	188	19	stresses	stress	NOUN
fumecheng-3502	188	20	in	in	ADP
fumecheng-3502	188	21	flat	flat	ADJ
fumecheng-3502	188	22	punch	punch	NOUN
fumecheng-3502	188	23	problems	problem	NOUN
fumecheng-3502	188	24	,	,	PUNCT
fumecheng-3502	188	25	wear	wear	VERB
fumecheng-3502	188	26	,	,	PUNCT
fumecheng-3502	188	27	236(1	236(1	NUM
fumecheng-3502	188	28	-	-	SYM
fumecheng-3502	188	29	2	2	NUM
fumecheng-3502	188	30	)	)	PUNCT
fumecheng-3502	188	31	,	,	PUNCT
fumecheng-3502	188	32	pp	pp	PROPN
fumecheng-3502	188	33	.	.	PUNCT
fumecheng-3502	189	1	134	134	NUM
fumecheng-3502	189	2	-	-	SYM
fumecheng-3502	189	3	143	143	NUM
fumecheng-3502	189	4	.	.	PUNCT
fumecheng-3502	190	1	7	7	NUM
fumecheng-3502	190	2	.	.	X
fumecheng-3502	190	3	bazant	bazant	PROPN
fumecheng-3502	190	4	,	,	PUNCT
fumecheng-3502	190	5	z.	z.	PROPN
fumecheng-3502	190	6	,	,	PUNCT
fumecheng-3502	190	7	2005	2005	NUM
fumecheng-3502	190	8	,	,	PUNCT
fumecheng-3502	191	1	scaling	scaling	NOUN
fumecheng-3502	191	2	of	of	ADP
fumecheng-3502	191	3	structural	structural	ADJ
fumecheng-3502	191	4	strength	strength	NOUN
fumecheng-3502	191	5	:	:	PUNCT
fumecheng-3502	191	6	2nd	2nd	ADJ
fumecheng-3502	191	7	ed	ed	NOUN
fumecheng-3502	191	8	.	.	PROPN
fumecheng-3502	191	9	,	,	PUNCT
fumecheng-3502	191	10	butterworth	butterworth	PROPN
fumecheng-3502	191	11	-	-	PUNCT
fumecheng-3502	191	12	heinemann	heinemann	PROPN
fumecheng-3502	191	13	,	,	PUNCT
fumecheng-3502	191	14	336	336	NUM
fumecheng-3502	191	15	p.	p.	NOUN
fumecheng-3502	191	16	8	8	NUM
fumecheng-3502	191	17	.	.	PUNCT
fumecheng-3502	192	1	he	he	PRON
fumecheng-3502	192	2	,	,	PUNCT
fumecheng-3502	192	3	z.	z.	PROPN
fumecheng-3502	192	4	,	,	PUNCT
fumecheng-3502	192	5	kotousov	kotousov	PROPN
fumecheng-3502	192	6	,	,	PUNCT
fumecheng-3502	192	7	a.	a.	NOUN
fumecheng-3502	192	8	,	,	PUNCT
fumecheng-3502	192	9	berto	berto	PROPN
fumecheng-3502	192	10	,	,	PUNCT
fumecheng-3502	192	11	f.	f.	PROPN
fumecheng-3502	192	12	,	,	PUNCT
fumecheng-3502	192	13	branco	branco	PROPN
fumecheng-3502	192	14	,	,	PUNCT
fumecheng-3502	192	15	r.	r.	PROPN
fumecheng-3502	192	16	,	,	PUNCT
fumecheng-3502	192	17	2016	2016	NUM
fumecheng-3502	192	18	,	,	PUNCT
fumecheng-3502	192	19	a	a	DET
fumecheng-3502	192	20	brief	brief	ADJ
fumecheng-3502	192	21	review	review	NOUN
fumecheng-3502	192	22	of	of	ADP
fumecheng-3502	192	23	recent	recent	ADJ
fumecheng-3502	192	24	three	three	NUM
fumecheng-3502	192	25	-	-	PUNCT
fumecheng-3502	192	26	dimensional	dimensional	ADJ
fumecheng-3502	192	27	studies	study	NOUN
fumecheng-3502	192	28	of	of	ADP
fumecheng-3502	192	29	brittle	brittle	ADJ
fumecheng-3502	192	30	fracture	fracture	NOUN
fumecheng-3502	192	31	,	,	PUNCT
fumecheng-3502	192	32	physical	physical	ADJ
fumecheng-3502	192	33	mesomechanics	mesomechanic	NOUN
fumecheng-3502	192	34	,	,	PUNCT
fumecheng-3502	192	35	19(1	19(1	NUM
fumecheng-3502	192	36	)	)	PUNCT
fumecheng-3502	192	37	,	,	PUNCT
fumecheng-3502	192	38	pp	pp	PROPN
fumecheng-3502	192	39	.	.	PUNCT
fumecheng-3502	193	1	6–20	6–20	NOUN
fumecheng-3502	193	2	.	.	PUNCT
fumecheng-3502	194	1	9	9	X
fumecheng-3502	194	2	.	.	X
fumecheng-3502	194	3	novozhilov	novozhilov	NOUN
fumecheng-3502	194	4	,	,	PUNCT
fumecheng-3502	194	5	v.v	v.v	PROPN
fumecheng-3502	194	6	.	.	PROPN
fumecheng-3502	194	7	,	,	PUNCT
fumecheng-3502	194	8	1969	1969	NUM
fumecheng-3502	194	9	,	,	PUNCT
fumecheng-3502	194	10	on	on	ADP
fumecheng-3502	194	11	a	a	DET
fumecheng-3502	194	12	necessary	necessary	ADJ
fumecheng-3502	194	13	and	and	CCONJ
fumecheng-3502	194	14	sufficient	sufficient	ADJ
fumecheng-3502	194	15	criterion	criterion	NOUN
fumecheng-3502	194	16	for	for	ADP
fumecheng-3502	194	17	brittle	brittle	ADJ
fumecheng-3502	194	18	strength	strength	NOUN
fumecheng-3502	194	19	,	,	PUNCT
fumecheng-3502	194	20	journal	journal	NOUN
fumecheng-3502	194	21	of	of	ADP
fumecheng-3502	194	22	applied	apply	VERB
fumecheng-3502	194	23	mathematics	mathematic	NOUN
fumecheng-3502	194	24	and	and	CCONJ
fumecheng-3502	194	25	mechanics	mechanic	NOUN
fumecheng-3502	194	26	,	,	PUNCT
fumecheng-3502	194	27	33(2	33(2	NUM
fumecheng-3502	194	28	)	)	PUNCT
fumecheng-3502	194	29	,	,	PUNCT
fumecheng-3502	194	30	pp	pp	ADJ
fumecheng-3502	194	31	.	.	PUNCT
fumecheng-3502	195	1	212	212	NUM
fumecheng-3502	195	2	-	-	SYM
fumecheng-3502	195	3	222	222	NUM
fumecheng-3502	195	4	.	.	PUNCT
fumecheng-3502	196	1	10	10	NUM
fumecheng-3502	196	2	.	.	PUNCT
fumecheng-3502	197	1	whitney	whitney	PROPN
fumecheng-3502	197	2	,	,	PUNCT
fumecheng-3502	197	3	j.m	j.m	PROPN
fumecheng-3502	197	4	.	.	PROPN
fumecheng-3502	197	5	,	,	PUNCT
fumecheng-3502	197	6	nuismer	nuismer	NOUN
fumecheng-3502	197	7	,	,	PUNCT
fumecheng-3502	197	8	r.j	r.j	PROPN
fumecheng-3502	197	9	.	.	PROPN
fumecheng-3502	197	10	,	,	PUNCT
fumecheng-3502	197	11	1974	1974	NUM
fumecheng-3502	197	12	,	,	PUNCT
fumecheng-3502	197	13	stress	stress	NOUN
fumecheng-3502	197	14	fracture	fracture	NOUN
fumecheng-3502	197	15	criteria	criterion	NOUN
fumecheng-3502	197	16	for	for	ADP
fumecheng-3502	197	17	laminated	laminated	ADJ
fumecheng-3502	197	18	composites	composite	NOUN
fumecheng-3502	197	19	containing	contain	VERB
fumecheng-3502	197	20	stress	stress	NOUN
fumecheng-3502	197	21	concentrators	concentrator	NOUN
fumecheng-3502	197	22	,	,	PUNCT
fumecheng-3502	197	23	journal	journal	NOUN
fumecheng-3502	197	24	of	of	ADP
fumecheng-3502	197	25	composite	composite	ADJ
fumecheng-3502	197	26	materials	material	NOUN
fumecheng-3502	197	27	,	,	PUNCT
fumecheng-3502	197	28	8(3	8(3	NUM
fumecheng-3502	197	29	)	)	PUNCT
fumecheng-3502	197	30	,	,	PUNCT
fumecheng-3502	197	31	pp	pp	PROPN
fumecheng-3502	197	32	.	.	PUNCT
fumecheng-3502	198	1	253	253	NUM
fumecheng-3502	198	2	-	-	SYM
fumecheng-3502	198	3	265	265	NUM
fumecheng-3502	198	4	.	.	PUNCT
fumecheng-3502	199	1	11	11	NUM
fumecheng-3502	199	2	.	.	X
fumecheng-3502	200	1	seweryn	seweryn	PROPN
fumecheng-3502	200	2	,	,	PUNCT
fumecheng-3502	200	3	a.	a.	NOUN
fumecheng-3502	200	4	,	,	PUNCT
fumecheng-3502	200	5	1994	1994	NUM
fumecheng-3502	200	6	,	,	PUNCT
fumecheng-3502	200	7	brittle	brittle	ADJ
fumecheng-3502	200	8	fracture	fracture	NOUN
fumecheng-3502	200	9	criterion	criterion	NOUN
fumecheng-3502	200	10	for	for	ADP
fumecheng-3502	200	11	structures	structure	NOUN
fumecheng-3502	200	12	with	with	ADP
fumecheng-3502	200	13	sharp	sharp	ADJ
fumecheng-3502	200	14	notches	notch	NOUN
fumecheng-3502	200	15	,	,	PUNCT
fumecheng-3502	200	16	engineering	engineering	NOUN
fumecheng-3502	200	17	fracture	fracture	NOUN
fumecheng-3502	200	18	mechanics	mechanic	NOUN
fumecheng-3502	200	19	,	,	PUNCT
fumecheng-3502	200	20	47(5	47(5	NOUN
fumecheng-3502	200	21	)	)	PUNCT
fumecheng-3502	200	22	,	,	PUNCT
fumecheng-3502	200	23	pp	pp	ADJ
fumecheng-3502	200	24	.	.	PUNCT
fumecheng-3502	201	1	673–681	673–681	NUM
fumecheng-3502	201	2	.	.	X
fumecheng-3502	202	1	12	12	NUM
fumecheng-3502	202	2	.	.	PUNCT
fumecheng-3502	203	1	suknev	suknev	PROPN
fumecheng-3502	203	2	,	,	PUNCT
fumecheng-3502	203	3	s.v	s.v	PROPN
fumecheng-3502	203	4	.	.	PROPN
fumecheng-3502	203	5	,	,	PUNCT
fumecheng-3502	203	6	2008	2008	NUM
fumecheng-3502	203	7	,	,	PUNCT
fumecheng-3502	203	8	formation	formation	NOUN
fumecheng-3502	203	9	of	of	ADP
fumecheng-3502	203	10	tensile	tensile	ADJ
fumecheng-3502	203	11	fractures	fracture	NOUN
fumecheng-3502	203	12	in	in	ADP
fumecheng-3502	203	13	the	the	DET
fumecheng-3502	203	14	stress	stress	NOUN
fumecheng-3502	203	15	concentration	concentration	NOUN
fumecheng-3502	203	16	zone	zone	NOUN
fumecheng-3502	203	17	in	in	ADP
fumecheng-3502	203	18	gypsum	gypsum	NOUN
fumecheng-3502	203	19	,	,	PUNCT
fumecheng-3502	203	20	journal	journal	NOUN
fumecheng-3502	203	21	of	of	ADP
fumecheng-3502	203	22	mining	mining	NOUN
fumecheng-3502	203	23	science	science	NOUN
fumecheng-3502	203	24	,	,	PUNCT
fumecheng-3502	203	25	44(1	44(1	PROPN
fumecheng-3502	203	26	)	)	PUNCT
fumecheng-3502	203	27	,	,	PUNCT
fumecheng-3502	203	28	pp	pp	PROPN
fumecheng-3502	203	29	.	.	PUNCT
fumecheng-3502	204	1	43	43	NUM
fumecheng-3502	204	2	-	-	SYM
fumecheng-3502	204	3	50	50	NUM
fumecheng-3502	204	4	.	.	NOUN
fumecheng-3502	205	1	13	13	NUM
fumecheng-3502	205	2	.	.	X
fumecheng-3502	205	3	bobinski	bobinski	PROPN
fumecheng-3502	205	4	,	,	PUNCT
fumecheng-3502	205	5	j.	j.	PROPN
fumecheng-3502	205	6	,	,	PUNCT
fumecheng-3502	205	7	tejchman	tejchman	NOUN
fumecheng-3502	205	8	,	,	PUNCT
fumecheng-3502	205	9	j.	j.	PROPN
fumecheng-3502	205	10	,	,	PUNCT
fumecheng-3502	205	11	2005	2005	NUM
fumecheng-3502	205	12	,	,	PUNCT
fumecheng-3502	205	13	modelling	modelling	NOUN
fumecheng-3502	205	14	of	of	ADP
fumecheng-3502	205	15	concrete	concrete	ADJ
fumecheng-3502	205	16	behaviour	behaviour	NOUN
fumecheng-3502	205	17	with	with	ADP
fumecheng-3502	205	18	a	a	DET
fumecheng-3502	205	19	non	non	ADJ
fumecheng-3502	205	20	-	-	ADJ
fumecheng-3502	205	21	local	local	ADJ
fumecheng-3502	205	22	continuum	continuum	ADJ
fumecheng-3502	205	23	damage	damage	NOUN
fumecheng-3502	205	24	approach	approach	NOUN
fumecheng-3502	205	25	,	,	PUNCT
fumecheng-3502	205	26	archives	archive	NOUN
fumecheng-3502	205	27	of	of	ADP
fumecheng-3502	205	28	hydro	hydro	NOUN
fumecheng-3502	205	29	-	-	PUNCT
fumecheng-3502	205	30	engineering	engineering	NOUN
fumecheng-3502	205	31	and	and	CCONJ
fumecheng-3502	205	32	environmental	environmental	ADJ
fumecheng-3502	205	33	mechanics	mechanic	NOUN
fumecheng-3502	205	34	,	,	PUNCT
fumecheng-3502	205	35	52(3	52(3	NOUN
fumecheng-3502	205	36	)	)	PUNCT
fumecheng-3502	205	37	,	,	PUNCT
fumecheng-3502	205	38	pp	pp	ADP
fumecheng-3502	205	39	.	.	PUNCT
fumecheng-3502	206	1	243	243	NUM
fumecheng-3502	206	2	-	-	SYM
fumecheng-3502	206	3	263	263	NUM
fumecheng-3502	206	4	.	.	PUNCT
fumecheng-3502	207	1	14	14	NUM
fumecheng-3502	207	2	.	.	PUNCT
fumecheng-3502	208	1	tovo	tovo	PROPN
fumecheng-3502	208	2	,	,	PUNCT
fumecheng-3502	208	3	r.	r.	PROPN
fumecheng-3502	208	4	,	,	PUNCT
fumecheng-3502	208	5	livieri	livieri	PROPN
fumecheng-3502	208	6	,	,	PUNCT
fumecheng-3502	208	7	p.	p.	PROPN
fumecheng-3502	208	8	,	,	PUNCT
fumecheng-3502	208	9	benvenuti	benvenuti	PROPN
fumecheng-3502	208	10	,	,	PUNCT
fumecheng-3502	208	11	e.	e.	PROPN
fumecheng-3502	208	12	,	,	PUNCT
fumecheng-3502	208	13	2006	2006	NUM
fumecheng-3502	208	14	,	,	PUNCT
fumecheng-3502	208	15	an	an	DET
fumecheng-3502	208	16	implicit	implicit	ADJ
fumecheng-3502	208	17	gradient	gradient	NOUN
fumecheng-3502	208	18	type	type	NOUN
fumecheng-3502	208	19	of	of	ADP
fumecheng-3502	208	20	static	static	ADJ
fumecheng-3502	208	21	failure	failure	NOUN
fumecheng-3502	208	22	criterion	criterion	NOUN
fumecheng-3502	208	23	for	for	ADP
fumecheng-3502	208	24	mixed	mixed	ADJ
fumecheng-3502	208	25	mode	mode	NOUN
fumecheng-3502	208	26	loading	loading	NOUN
fumecheng-3502	208	27	,	,	PUNCT
fumecheng-3502	208	28	international	international	ADJ
fumecheng-3502	208	29	journal	journal	NOUN
fumecheng-3502	208	30	of	of	ADP
fumecheng-3502	208	31	fracture	fracture	NOUN
fumecheng-3502	208	32	,	,	PUNCT
fumecheng-3502	208	33	141(3	141(3	NUM
fumecheng-3502	208	34	-	-	SYM
fumecheng-3502	208	35	4	4	NUM
fumecheng-3502	208	36	)	)	PUNCT
fumecheng-3502	208	37	,	,	PUNCT
fumecheng-3502	208	38	pp	pp	ADP
fumecheng-3502	208	39	.	.	PUNCT
fumecheng-3502	209	1	497	497	NUM
fumecheng-3502	209	2	-	-	SYM
fumecheng-3502	209	3	511	511	NUM
fumecheng-3502	209	4	.	.	PUNCT
fumecheng-3502	210	1	15	15	NUM
fumecheng-3502	210	2	.	.	PUNCT
fumecheng-3502	211	1	pohrt	pohrt	PROPN
fumecheng-3502	211	2	,	,	PUNCT
fumecheng-3502	211	3	r.	r.	PROPN
fumecheng-3502	211	4	,	,	PUNCT
fumecheng-3502	211	5	popov	popov	PROPN
fumecheng-3502	211	6	,	,	PUNCT
fumecheng-3502	211	7	v.l	v.l	PROPN
fumecheng-3502	211	8	.	.	PROPN
fumecheng-3502	211	9	,	,	PUNCT
fumecheng-3502	211	10	2015	2015	NUM
fumecheng-3502	211	11	,	,	PUNCT
fumecheng-3502	211	12	adhesive	adhesive	ADJ
fumecheng-3502	211	13	contact	contact	NOUN
fumecheng-3502	211	14	simulation	simulation	NOUN
fumecheng-3502	211	15	of	of	ADP
fumecheng-3502	211	16	elastic	elastic	ADJ
fumecheng-3502	211	17	solids	solid	NOUN
fumecheng-3502	211	18	using	use	VERB
fumecheng-3502	211	19	local	local	ADJ
fumecheng-3502	211	20	mesh	mesh	NOUN
fumecheng-3502	211	21	-	-	PUNCT
fumecheng-3502	211	22	dependent	dependent	ADJ
fumecheng-3502	211	23	detachment	detachment	NOUN
fumecheng-3502	211	24	criterion	criterion	NOUN
fumecheng-3502	211	25	in	in	ADP
fumecheng-3502	211	26	boundary	boundary	ADJ
fumecheng-3502	211	27	elements	element	NOUN
fumecheng-3502	211	28	method	method	NOUN
fumecheng-3502	211	29	,	,	PUNCT
fumecheng-3502	211	30	facta	facta	PROPN
fumecheng-3502	211	31	universitatis	universitatis	PROPN
fumecheng-3502	211	32	-	-	PUNCT
fumecheng-3502	211	33	series	series	NOUN
fumecheng-3502	211	34	mechanical	mechanical	ADJ
fumecheng-3502	211	35	engineering	engineering	NOUN
fumecheng-3502	211	36	,	,	PUNCT
fumecheng-3502	211	37	13(1	13(1	NUM
fumecheng-3502	211	38	)	)	PUNCT
fumecheng-3502	211	39	,	,	PUNCT
fumecheng-3502	211	40	pp	pp	ADP
fumecheng-3502	211	41	.	.	PUNCT
fumecheng-3502	212	1	3	3	NUM
fumecheng-3502	212	2	-	-	SYM
fumecheng-3502	212	3	10	10	NUM
fumecheng-3502	212	4	.	.	PUNCT
fumecheng-3502	213	1	16	16	NUM
fumecheng-3502	213	2	.	.	PUNCT
fumecheng-3502	214	1	li	li	PROPN
fumecheng-3502	214	2	,	,	PUNCT
fumecheng-3502	214	3	q.	q.	PROPN
fumecheng-3502	214	4	,	,	PUNCT
fumecheng-3502	214	5	popov	popov	PROPN
fumecheng-3502	214	6	,	,	PUNCT
fumecheng-3502	214	7	v.l	v.l	PROPN
fumecheng-3502	214	8	.	.	PROPN
fumecheng-3502	214	9	,	,	PUNCT
fumecheng-3502	214	10	2017	2017	NUM
fumecheng-3502	214	11	,	,	PUNCT
fumecheng-3502	214	12	boundary	boundary	ADJ
fumecheng-3502	214	13	element	element	NOUN
fumecheng-3502	214	14	method	method	NOUN
fumecheng-3502	214	15	for	for	ADP
fumecheng-3502	214	16	normal	normal	ADJ
fumecheng-3502	214	17	non	non	ADJ
fumecheng-3502	214	18	-	-	ADJ
fumecheng-3502	214	19	adhesive	adhesive	ADJ
fumecheng-3502	214	20	and	and	CCONJ
fumecheng-3502	214	21	adhesive	adhesive	ADJ
fumecheng-3502	214	22	contacts	contact	NOUN
fumecheng-3502	214	23	of	of	ADP
fumecheng-3502	214	24	power	power	NOUN
fumecheng-3502	214	25	-	-	PUNCT
fumecheng-3502	214	26	law	law	NOUN
fumecheng-3502	214	27	graded	grade	VERB
fumecheng-3502	214	28	elastic	elastic	ADJ
fumecheng-3502	214	29	materials	material	NOUN
fumecheng-3502	214	30	,	,	PUNCT
fumecheng-3502	214	31	computational	computational	ADJ
fumecheng-3502	214	32	mechanics	mechanic	NOUN
fumecheng-3502	214	33	,	,	PUNCT
fumecheng-3502	214	34	doi	doi	NOUN
fumecheng-3502	214	35	:	:	PUNCT
fumecheng-3502	214	36	10.1007	10.1007	NUM
fumecheng-3502	214	37	/	/	SYM
fumecheng-3502	214	38	s00466	s00466	PROPN
fumecheng-3502	214	39	-	-	PUNCT
fumecheng-3502	214	40	017	017	NUM
fumecheng-3502	214	41	-	-	PUNCT
fumecheng-3502	214	42	1461	1461	NUM
fumecheng-3502	214	43	-	-	SYM
fumecheng-3502	214	44	9	9	NUM
fumecheng-3502	214	45	.	.	NOUN
fumecheng-3502	214	46	17	17	NUM
fumecheng-3502	214	47	.	.	PUNCT
fumecheng-3502	215	1	popov	popov	PROPN
fumecheng-3502	215	2	,	,	PUNCT
fumecheng-3502	215	3	v.l	v.l	PROPN
fumecheng-3502	215	4	.	.	PROPN
fumecheng-3502	215	5	,	,	PUNCT
fumecheng-3502	215	6	pohrt	pohrt	PROPN
fumecheng-3502	215	7	,	,	PUNCT
fumecheng-3502	215	8	r.	r.	PROPN
fumecheng-3502	215	9	,	,	PUNCT
fumecheng-3502	215	10	li	li	PROPN
fumecheng-3502	215	11	,	,	PUNCT
fumecheng-3502	215	12	q.	q.	PROPN
fumecheng-3502	215	13	,	,	PUNCT
fumecheng-3502	215	14	2017	2017	NUM
fumecheng-3502	215	15	,	,	PUNCT
fumecheng-3502	215	16	strength	strength	NOUN
fumecheng-3502	215	17	of	of	ADP
fumecheng-3502	215	18	adhesive	adhesive	ADJ
fumecheng-3502	215	19	contacts	contact	NOUN
fumecheng-3502	215	20	:	:	PUNCT
fumecheng-3502	215	21	influence	influence	NOUN
fumecheng-3502	215	22	of	of	ADP
fumecheng-3502	215	23	contact	contact	NOUN
fumecheng-3502	215	24	geometry	geometry	NOUN
fumecheng-3502	215	25	and	and	CCONJ
fumecheng-3502	215	26	material	material	NOUN
fumecheng-3502	215	27	gradients	gradient	NOUN
fumecheng-3502	215	28	,	,	PUNCT
fumecheng-3502	215	29	friction	friction	NOUN
fumecheng-3502	215	30	,	,	PUNCT
fumecheng-3502	215	31	5(3	5(3	NUM
fumecheng-3502	215	32	)	)	PUNCT
fumecheng-3502	215	33	,	,	PUNCT
fumecheng-3502	215	34	pp	pp	ADP
fumecheng-3502	215	35	.	.	PUNCT
fumecheng-3502	216	1	308–325	308–325	NUM
fumecheng-3502	216	2	.	.	PUNCT
fumecheng-3502	217	1	18	18	NUM
fumecheng-3502	217	2	.	.	PUNCT
fumecheng-3502	217	3	tavarez	tavarez	PROPN
fumecheng-3502	217	4	,	,	PUNCT
fumecheng-3502	217	5	f.a	f.a	PROPN
fumecheng-3502	217	6	.	.	PROPN
fumecheng-3502	217	7	,	,	PUNCT
fumecheng-3502	217	8	m.e	m.e	PROPN
fumecheng-3502	217	9	.	.	PROPN
fumecheng-3502	217	10	plesha	plesha	PROPN
fumecheng-3502	217	11	,	,	PUNCT
fumecheng-3502	217	12	m.e	m.e	PROPN
fumecheng-3502	217	13	.	.	PROPN
fumecheng-3502	217	14	,	,	PUNCT
fumecheng-3502	217	15	2007	2007	NUM
fumecheng-3502	217	16	,	,	PUNCT
fumecheng-3502	217	17	discrete	discrete	ADJ
fumecheng-3502	217	18	element	element	NOUN
fumecheng-3502	217	19	method	method	NOUN
fumecheng-3502	217	20	for	for	ADP
fumecheng-3502	217	21	modelling	model	VERB
fumecheng-3502	217	22	solid	solid	ADJ
fumecheng-3502	217	23	and	and	CCONJ
fumecheng-3502	217	24	particulate	particulate	NOUN
fumecheng-3502	217	25	materials	material	NOUN
fumecheng-3502	217	26	,	,	PUNCT
fumecheng-3502	217	27	international	international	ADJ
fumecheng-3502	217	28	journal	journal	NOUN
fumecheng-3502	217	29	for	for	ADP
fumecheng-3502	217	30	numerical	numerical	ADJ
fumecheng-3502	217	31	methods	method	NOUN
fumecheng-3502	217	32	in	in	ADP
fumecheng-3502	217	33	engineering	engineering	NOUN
fumecheng-3502	217	34	,	,	PUNCT
fumecheng-3502	217	35	70(4	70(4	NUM
fumecheng-3502	217	36	)	)	PUNCT
fumecheng-3502	217	37	,	,	PUNCT
fumecheng-3502	217	38	pp	pp	PROPN
fumecheng-3502	217	39	.	.	PUNCT
fumecheng-3502	218	1	379	379	NUM
fumecheng-3502	218	2	-	-	SYM
fumecheng-3502	218	3	404	404	NUM
fumecheng-3502	218	4	.	.	PUNCT
fumecheng-3502	219	1	19	19	NUM
fumecheng-3502	219	2	.	.	PUNCT
fumecheng-3502	219	3	psakhie	psakhie	NOUN
fumecheng-3502	219	4	,	,	PUNCT
fumecheng-3502	219	5	s.g	s.g	PROPN
fumecheng-3502	219	6	.	.	PROPN
fumecheng-3502	219	7	,	,	PUNCT
fumecheng-3502	219	8	shilko	shilko	PROPN
fumecheng-3502	219	9	,	,	PUNCT
fumecheng-3502	219	10	e.v	e.v	PROPN
fumecheng-3502	219	11	.	.	PROPN
fumecheng-3502	219	12	,	,	PUNCT
fumecheng-3502	219	13	grigoriev	grigoriev	PROPN
fumecheng-3502	219	14	,	,	PUNCT
fumecheng-3502	219	15	a.s	a.s	PROPN
fumecheng-3502	219	16	.	.	PROPN
fumecheng-3502	219	17	,	,	PUNCT
fumecheng-3502	219	18	astafurov	astafurov	PROPN
fumecheng-3502	219	19	,	,	PUNCT
fumecheng-3502	219	20	s.v	s.v	PROPN
fumecheng-3502	219	21	.	.	PROPN
fumecheng-3502	219	22	,	,	PUNCT
fumecheng-3502	219	23	dimaki	dimaki	NOUN
fumecheng-3502	219	24	,	,	PUNCT
fumecheng-3502	219	25	a.v	a.v	PROPN
fumecheng-3502	219	26	.	.	PROPN
fumecheng-3502	219	27	,	,	PUNCT
fumecheng-3502	219	28	smolin	smolin	PROPN
fumecheng-3502	219	29	,	,	PUNCT
fumecheng-3502	219	30	a.y	a.y	PROPN
fumecheng-3502	219	31	.	.	PROPN
fumecheng-3502	219	32	,	,	PUNCT
fumecheng-3502	219	33	2014	2014	NUM
fumecheng-3502	219	34	,	,	PUNCT
fumecheng-3502	219	35	a	a	DET
fumecheng-3502	219	36	mathematical	mathematical	ADJ
fumecheng-3502	219	37	model	model	NOUN
fumecheng-3502	219	38	of	of	ADP
fumecheng-3502	219	39	particle	particle	NOUN
fumecheng-3502	219	40	–	–	PUNCT
fumecheng-3502	219	41	particle	particle	NOUN
fumecheng-3502	219	42	interaction	interaction	NOUN
fumecheng-3502	219	43	for	for	ADP
fumecheng-3502	219	44	discrete	discrete	ADJ
fumecheng-3502	219	45	element	element	NOUN
fumecheng-3502	219	46	based	base	VERB
fumecheng-3502	219	47	modeling	modeling	NOUN
fumecheng-3502	219	48	of	of	ADP
fumecheng-3502	219	49	deformation	deformation	NOUN
fumecheng-3502	219	50	and	and	CCONJ
fumecheng-3502	219	51	fracture	fracture	NOUN
fumecheng-3502	219	52	of	of	ADP
fumecheng-3502	219	53	heterogeneous	heterogeneous	ADJ
fumecheng-3502	219	54	elastic	elastic	ADJ
fumecheng-3502	219	55	–	–	PUNCT
fumecheng-3502	219	56	plastic	plastic	NOUN
fumecheng-3502	219	57	materials	material	NOUN
fumecheng-3502	219	58	,	,	PUNCT
fumecheng-3502	219	59	engineering	engineering	NOUN
fumecheng-3502	219	60	fracture	fracture	NOUN
fumecheng-3502	219	61	mechanics	mechanic	NOUN
fumecheng-3502	219	62	,	,	PUNCT
fumecheng-3502	219	63	130	130	NUM
fumecheng-3502	219	64	,	,	PUNCT
fumecheng-3502	219	65	pp	pp	ADJ
fumecheng-3502	219	66	.	.	PUNCT
fumecheng-3502	220	1	96	96	NUM
fumecheng-3502	220	2	-	-	SYM
fumecheng-3502	220	3	115	115	NUM
fumecheng-3502	220	4	.	.	PUNCT
fumecheng-3502	221	1	20	20	NUM
fumecheng-3502	221	2	.	.	PUNCT
fumecheng-3502	222	1	psakhie	psakhie	NOUN
fumecheng-3502	222	2	,	,	PUNCT
fumecheng-3502	222	3	s.g	s.g	PROPN
fumecheng-3502	222	4	.	.	PROPN
fumecheng-3502	222	5	,	,	PUNCT
fumecheng-3502	222	6	dimaki	dimaki	NOUN
fumecheng-3502	222	7	,	,	PUNCT
fumecheng-3502	222	8	a.v	a.v	PROPN
fumecheng-3502	222	9	.	.	PROPN
fumecheng-3502	222	10	,	,	PUNCT
fumecheng-3502	222	11	shilko	shilko	PROPN
fumecheng-3502	222	12	,	,	PUNCT
fumecheng-3502	222	13	e.v	e.v	PROPN
fumecheng-3502	222	14	.	.	PROPN
fumecheng-3502	222	15	,	,	PUNCT
fumecheng-3502	222	16	astafurov	astafurov	PROPN
fumecheng-3502	222	17	,	,	PUNCT
fumecheng-3502	222	18	s.v	s.v	PROPN
fumecheng-3502	222	19	.	.	PROPN
fumecheng-3502	222	20	,	,	PUNCT
fumecheng-3502	222	21	2016	2016	NUM
fumecheng-3502	222	22	,	,	PUNCT
fumecheng-3502	222	23	a	a	DET
fumecheng-3502	222	24	coupled	couple	VERB
fumecheng-3502	222	25	discrete	discrete	ADJ
fumecheng-3502	222	26	element	element	NOUN
fumecheng-3502	222	27	-	-	PUNCT
fumecheng-3502	222	28	finite	finite	ADJ
fumecheng-3502	222	29	difference	difference	NOUN
fumecheng-3502	222	30	approach	approach	NOUN
fumecheng-3502	222	31	for	for	ADP
fumecheng-3502	222	32	modeling	model	VERB
fumecheng-3502	222	33	mechanical	mechanical	ADJ
fumecheng-3502	222	34	response	response	NOUN
fumecheng-3502	222	35	of	of	ADP
fumecheng-3502	222	36	fluid	fluid	NOUN
fumecheng-3502	222	37	-	-	PUNCT
fumecheng-3502	222	38	saturated	saturate	VERB
fumecheng-3502	222	39	porous	porous	ADJ
fumecheng-3502	222	40	materials	material	NOUN
fumecheng-3502	222	41	,	,	PUNCT
fumecheng-3502	222	42	international	international	ADJ
fumecheng-3502	222	43	journal	journal	NOUN
fumecheng-3502	222	44	for	for	ADP
fumecheng-3502	222	45	numerical	numerical	ADJ
fumecheng-3502	222	46	methods	method	NOUN
fumecheng-3502	222	47	in	in	ADP
fumecheng-3502	222	48	engineering	engineering	NOUN
fumecheng-3502	222	49	,	,	PUNCT
fumecheng-3502	222	50	106(8	106(8	NUM
fumecheng-3502	222	51	)	)	PUNCT
fumecheng-3502	222	52	,	,	PUNCT
fumecheng-3502	222	53	pp	pp	PROPN
fumecheng-3502	222	54	.	.	PUNCT
fumecheng-3502	223	1	623	623	NUM
fumecheng-3502	223	2	-	-	SYM
fumecheng-3502	223	3	643	643	NUM
fumecheng-3502	223	4	.	.	NUM
fumecheng-3502	224	1	21	21	NUM
fumecheng-3502	224	2	.	.	PUNCT
fumecheng-3502	225	1	shilko	shilko	PROPN
fumecheng-3502	225	2	,	,	PUNCT
fumecheng-3502	225	3	e.v	e.v	PROPN
fumecheng-3502	225	4	.	.	PROPN
fumecheng-3502	225	5	,	,	PUNCT
fumecheng-3502	225	6	psakhie	psakhie	PROPN
fumecheng-3502	225	7	,	,	PUNCT
fumecheng-3502	225	8	s.g	s.g	PROPN
fumecheng-3502	225	9	.	.	PROPN
fumecheng-3502	225	10	,	,	PUNCT
fumecheng-3502	225	11	schmauder	schmauder	PROPN
fumecheng-3502	225	12	,	,	PUNCT
fumecheng-3502	225	13	s.	s.	PROPN
fumecheng-3502	225	14	,	,	PUNCT
fumecheng-3502	225	15	popov	popov	PROPN
fumecheng-3502	225	16	,	,	PUNCT
fumecheng-3502	225	17	v.l	v.l	PROPN
fumecheng-3502	225	18	.	.	PROPN
fumecheng-3502	225	19	,	,	PUNCT
fumecheng-3502	225	20	astafurov	astafurov	PROPN
fumecheng-3502	225	21	,	,	PUNCT
fumecheng-3502	225	22	s.v	s.v	PROPN
fumecheng-3502	225	23	.	.	PROPN
fumecheng-3502	225	24	,	,	PUNCT
fumecheng-3502	225	25	smolin	smolin	PROPN
fumecheng-3502	225	26	,	,	PUNCT
fumecheng-3502	225	27	\a.yu	\a.yu	PROPN
fumecheng-3502	225	28	.	.	PROPN
fumecheng-3502	225	29	,	,	PUNCT
fumecheng-3502	225	30	2015	2015	NUM
fumecheng-3502	225	31	,	,	PUNCT
fumecheng-3502	225	32	overcoming	overcome	VERB
fumecheng-3502	225	33	the	the	DET
fumecheng-3502	225	34	limitations	limitation	NOUN
fumecheng-3502	225	35	of	of	ADP
fumecheng-3502	225	36	distinct	distinct	ADJ
fumecheng-3502	225	37	element	element	NOUN
fumecheng-3502	225	38	method	method	NOUN
fumecheng-3502	225	39	for	for	ADP
fumecheng-3502	225	40	multiscale	multiscale	ADJ
fumecheng-3502	225	41	modelling	modelling	NOUN
fumecheng-3502	225	42	of	of	ADP
fumecheng-3502	225	43	materials	material	NOUN
fumecheng-3502	225	44	with	with	ADP
fumecheng-3502	225	45	multimodal	multimodal	ADJ
fumecheng-3502	225	46	internal	internal	ADJ
fumecheng-3502	225	47	structure	structure	NOUN
fumecheng-3502	225	48	,	,	PUNCT
fumecheng-3502	225	49	computational	computational	ADJ
fumecheng-3502	225	50	materials	material	NOUN
fumecheng-3502	225	51	science	science	NOUN
fumecheng-3502	225	52	,	,	PUNCT
fumecheng-3502	225	53	102	102	NUM
fumecheng-3502	225	54	,	,	PUNCT
fumecheng-3502	225	55	pp	pp	ADJ
fumecheng-3502	225	56	.	.	PUNCT
fumecheng-3502	226	1	267	267	NUM
fumecheng-3502	226	2	-	-	SYM
fumecheng-3502	226	3	285	285	NUM
fumecheng-3502	226	4	.	.	PUNCT
fumecheng-3502	227	1	22	22	NUM
fumecheng-3502	227	2	.	.	X
fumecheng-3502	228	1	paterson	paterson	PROPN
fumecheng-3502	228	2	,	,	PUNCT
fumecheng-3502	228	3	m.s	m.s	PROPN
fumecheng-3502	228	4	.	.	PROPN
fumecheng-3502	228	5	,	,	PUNCT
fumecheng-3502	228	6	wong	wong	PROPN
fumecheng-3502	228	7	,	,	PUNCT
fumecheng-3502	228	8	t.-f	t.-f	PROPN
fumecheng-3502	228	9	.	.	PROPN
fumecheng-3502	228	10	,	,	PUNCT
fumecheng-3502	228	11	2005	2005	NUM
fumecheng-3502	228	12	,	,	PUNCT
fumecheng-3502	228	13	experimental	experimental	ADJ
fumecheng-3502	228	14	rock	rock	NOUN
fumecheng-3502	228	15	deformation	deformation	NOUN
fumecheng-3502	228	16	–	–	PUNCT
fumecheng-3502	228	17	the	the	DET
fumecheng-3502	228	18	brittle	brittle	ADJ
fumecheng-3502	228	19	field	field	NOUN
fumecheng-3502	228	20	,	,	PUNCT
fumecheng-3502	228	21	springer	springer	NOUN
fumecheng-3502	228	22	-	-	PUNCT
fumecheng-3502	228	23	verlag	verlag	PROPN
fumecheng-3502	228	24	,	,	PUNCT
fumecheng-3502	228	25	berlin	berlin	PROPN
fumecheng-3502	228	26	heidelberg	heidelberg	PROPN
fumecheng-3502	228	27	,	,	PUNCT
fumecheng-3502	228	28	germany	germany	PROPN
fumecheng-3502	228	29	,	,	PUNCT
fumecheng-3502	228	30	348	348	NUM
fumecheng-3502	228	31	p.	p.	NOUN
fumecheng-3502	228	32	23	23	NUM
fumecheng-3502	228	33	.	.	PUNCT
fumecheng-3502	229	1	popov	popov	PROPN
fumecheng-3502	229	2	,	,	PUNCT
fumecheng-3502	229	3	v.l	v.l	PROPN
fumecheng-3502	229	4	.	.	PROPN
fumecheng-3502	229	5	,	,	PUNCT
fumecheng-3502	229	6	heß	heß	PROPN
fumecheng-3502	229	7	,	,	PUNCT
fumecheng-3502	229	8	m.	m.	NOUN
fumecheng-3502	229	9	,	,	PUNCT
fumecheng-3502	229	10	willert	willert	NOUN
fumecheng-3502	229	11	,	,	PUNCT
fumecheng-3502	229	12	e.	e.	PROPN
fumecheng-3502	229	13	,	,	PUNCT
fumecheng-3502	229	14	2018	2018	NUM
fumecheng-3502	229	15	,	,	PUNCT
fumecheng-3502	229	16	handbuch	handbuch	PROPN
fumecheng-3502	229	17	der	der	PROPN
fumecheng-3502	229	18	kontaktmechanik	kontaktmechanik	PROPN
fumecheng-3502	229	19	:	:	PUNCT
fumecheng-3502	229	20	exakte	exakte	PROPN
fumecheng-3502	229	21	lösungen	lösungen	PROPN
fumecheng-3502	229	22	axialsymmetrischer	axialsymmetrischer	PROPN
fumecheng-3502	229	23	kontaktprobleme	kontaktprobleme	PROPN
fumecheng-3502	229	24	,	,	PUNCT
fumecheng-3502	229	25	springer	springer	NOUN
fumecheng-3502	229	26	vieweg	vieweg	NOUN
fumecheng-3502	229	27	,	,	PUNCT
fumecheng-3502	229	28	339	339	NUM
fumecheng-3502	229	29	p.	p.	NOUN