id	sid	tid	token	lemma	pos
fumecheng-5297	1	1	facta	facta	PROPN
fumecheng-5297	1	2	universitatis	universitatis	PROPN
fumecheng-5297	1	3	series	series	NOUN
fumecheng-5297	1	4	:	:	PUNCT
fumecheng-5297	1	5	mechanical	mechanical	ADJ
fumecheng-5297	1	6	engineering	engineering	NOUN
fumecheng-5297	1	7	vol	vol	NOUN
fumecheng-5297	1	8	.	.	PROPN
fumecheng-5297	2	1	17	17	NUM
fumecheng-5297	2	2	,	,	PUNCT
fumecheng-5297	2	3	no	no	DET
fumecheng-5297	2	4	2	2	NUM
fumecheng-5297	2	5	,	,	PUNCT
fumecheng-5297	2	6	2019	2019	NUM
fumecheng-5297	2	7	,	,	PUNCT
fumecheng-5297	2	8	pp	pp	ADJ
fumecheng-5297	2	9	.	.	PUNCT
fumecheng-5297	3	1	149	149	NUM
fumecheng-5297	3	2	159	159	NUM
fumecheng-5297	3	3	https://doi.org/10.22190/fume190511022	https://doi.org/10.22190/fume190511022	NOUN
fumecheng-5297	3	4	g	g	PROPN
fumecheng-5297	3	5	©	©	PROPN
fumecheng-5297	3	6	2019	2019	NUM
fumecheng-5297	3	7	by	by	ADP
fumecheng-5297	3	8	university	university	PROPN
fumecheng-5297	3	9	of	of	ADP
fumecheng-5297	3	10	niš	niš	PROPN
fumecheng-5297	3	11	,	,	PUNCT
fumecheng-5297	3	12	serbia	serbia	PROPN
fumecheng-5297	3	13	|	|	ADV
fumecheng-5297	3	14	creative	creative	ADJ
fumecheng-5297	3	15	commons	common	NOUN
fumecheng-5297	3	16	license	license	NOUN
fumecheng-5297	3	17	:	:	PUNCT
fumecheng-5297	3	18	cc	cc	VERB
fumecheng-5297	3	19	by	by	ADP
fumecheng-5297	3	20	-	-	PUNCT
fumecheng-5297	3	21	nc	nc	VERB
fumecheng-5297	3	22	-	-	PUNCT
fumecheng-5297	3	23	nd	nd	ADV
fumecheng-5297	3	24	original	original	ADJ
fumecheng-5297	3	25	scientific	scientific	ADJ
fumecheng-5297	3	26	paper	paper	NUM
fumecheng-5297	3	27	contact	contact	NOUN
fumecheng-5297	3	28	of	of	ADP
fumecheng-5297	3	29	multi	multi	ADJ
fumecheng-5297	3	30	-	-	ADJ
fumecheng-5297	3	31	level	level	ADJ
fumecheng-5297	3	32	periodic	periodic	ADJ
fumecheng-5297	3	33	system	system	NOUN
fumecheng-5297	3	34	of	of	ADP
fumecheng-5297	3	35	indenters	indenter	NOUN
fumecheng-5297	3	36	with	with	ADP
fumecheng-5297	3	37	coated	coated	ADJ
fumecheng-5297	3	38	elastic	elastic	ADJ
fumecheng-5297	3	39	half	half	ADJ
fumecheng-5297	3	40	-	-	PUNCT
fumecheng-5297	3	41	space	space	NOUN
fumecheng-5297	3	42	irina	irina	PROPN
fumecheng-5297	3	43	g.	g.	PROPN
fumecheng-5297	3	44	goryacheva	goryacheva	PROPN
fumecheng-5297	3	45	,	,	PUNCT
fumecheng-5297	3	46	elena	elena	PROPN
fumecheng-5297	3	47	v.	v.	ADP
fumecheng-5297	3	48	torskaya	torskaya	PROPN
fumecheng-5297	3	49	ishlinsky	ishlinsky	PROPN
fumecheng-5297	3	50	institute	institute	PROPN
fumecheng-5297	3	51	for	for	ADP
fumecheng-5297	3	52	problems	problem	NOUN
fumecheng-5297	3	53	in	in	ADP
fumecheng-5297	3	54	mechanics	mechanic	NOUN
fumecheng-5297	3	55	,	,	PUNCT
fumecheng-5297	3	56	russian	russian	ADJ
fumecheng-5297	3	57	academy	academy	PROPN
fumecheng-5297	3	58	of	of	ADP
fumecheng-5297	3	59	sciences	sciences	PROPN
fumecheng-5297	3	60	,	,	PUNCT
fumecheng-5297	3	61	russia	russia	PROPN
fumecheng-5297	3	62	abstract	abstract	NOUN
fumecheng-5297	3	63	.	.	PUNCT
fumecheng-5297	4	1	the	the	DET
fumecheng-5297	4	2	contact	contact	NOUN
fumecheng-5297	4	3	of	of	ADP
fumecheng-5297	4	4	a	a	DET
fumecheng-5297	4	5	periodic	periodic	ADJ
fumecheng-5297	4	6	system	system	NOUN
fumecheng-5297	4	7	of	of	ADP
fumecheng-5297	4	8	spherical	spherical	ADJ
fumecheng-5297	4	9	indenters	indenter	NOUN
fumecheng-5297	4	10	of	of	ADP
fumecheng-5297	4	11	different	different	ADJ
fumecheng-5297	4	12	heights	height	NOUN
fumecheng-5297	4	13	and	and	CCONJ
fumecheng-5297	4	14	radii	radius	NOUN
fumecheng-5297	4	15	of	of	ADP
fumecheng-5297	4	16	curvature	curvature	NOUN
fumecheng-5297	4	17	with	with	ADP
fumecheng-5297	4	18	two	two	NUM
fumecheng-5297	4	19	-	-	PUNCT
fumecheng-5297	4	20	layered	layer	VERB
fumecheng-5297	4	21	elastic	elastic	ADJ
fumecheng-5297	4	22	half	half	ADJ
fumecheng-5297	4	23	-	-	PUNCT
fumecheng-5297	4	24	space	space	NOUN
fumecheng-5297	4	25	is	be	AUX
fumecheng-5297	4	26	considered	consider	VERB
fumecheng-5297	4	27	.	.	PUNCT
fumecheng-5297	5	1	numericalanalytical	numericalanalytical	ADJ
fumecheng-5297	5	2	method	method	NOUN
fumecheng-5297	5	3	is	be	AUX
fumecheng-5297	5	4	developed	develop	VERB
fumecheng-5297	5	5	to	to	PART
fumecheng-5297	5	6	determine	determine	VERB
fumecheng-5297	5	7	contact	contact	NOUN
fumecheng-5297	5	8	pressure	pressure	NOUN
fumecheng-5297	5	9	distribution	distribution	NOUN
fumecheng-5297	5	10	and	and	CCONJ
fumecheng-5297	5	11	internal	internal	ADJ
fumecheng-5297	5	12	stresses	stress	NOUN
fumecheng-5297	5	13	taking	take	VERB
fumecheng-5297	5	14	into	into	ADP
fumecheng-5297	5	15	account	account	NOUN
fumecheng-5297	5	16	mutual	mutual	ADJ
fumecheng-5297	5	17	effect	effect	NOUN
fumecheng-5297	5	18	of	of	ADP
fumecheng-5297	5	19	contact	contact	NOUN
fumecheng-5297	5	20	spots	spot	NOUN
fumecheng-5297	5	21	.	.	PUNCT
fumecheng-5297	6	1	the	the	DET
fumecheng-5297	6	2	results	result	NOUN
fumecheng-5297	6	3	for	for	ADP
fumecheng-5297	6	4	relatively	relatively	ADV
fumecheng-5297	6	5	hard	hard	ADJ
fumecheng-5297	6	6	and	and	CCONJ
fumecheng-5297	6	7	soft	soft	ADJ
fumecheng-5297	6	8	coatings	coating	NOUN
fumecheng-5297	6	9	are	be	AUX
fumecheng-5297	6	10	analyzed	analyze	VERB
fumecheng-5297	6	11	for	for	ADP
fumecheng-5297	6	12	different	different	ADJ
fumecheng-5297	6	13	values	value	NOUN
fumecheng-5297	6	14	of	of	ADP
fumecheng-5297	6	15	input	input	NOUN
fumecheng-5297	6	16	parameters	parameter	NOUN
fumecheng-5297	6	17	:	:	PUNCT
fumecheng-5297	6	18	nominal	nominal	ADJ
fumecheng-5297	6	19	pressure	pressure	NOUN
fumecheng-5297	6	20	,	,	PUNCT
fumecheng-5297	6	21	contact	contact	NOUN
fumecheng-5297	6	22	density	density	NOUN
fumecheng-5297	6	23	,	,	PUNCT
fumecheng-5297	6	24	coating	coat	VERB
fumecheng-5297	6	25	thickness	thickness	NOUN
fumecheng-5297	6	26	.	.	PUNCT
fumecheng-5297	7	1	key	key	ADJ
fumecheng-5297	7	2	words	word	NOUN
fumecheng-5297	7	3	:	:	PUNCT
fumecheng-5297	7	4	coatings	coating	NOUN
fumecheng-5297	7	5	,	,	PUNCT
fumecheng-5297	7	6	discrete	discrete	ADJ
fumecheng-5297	7	7	contact	contact	NOUN
fumecheng-5297	7	8	,	,	PUNCT
fumecheng-5297	7	9	contact	contact	NOUN
fumecheng-5297	7	10	density	density	NOUN
fumecheng-5297	7	11	,	,	PUNCT
fumecheng-5297	7	12	internal	internal	ADJ
fumecheng-5297	7	13	stresses	stress	NOUN
fumecheng-5297	7	14	1	1	NUM
fumecheng-5297	7	15	.	.	PUNCT
fumecheng-5297	7	16	introduction	introduction	NOUN
fumecheng-5297	7	17	the	the	DET
fumecheng-5297	7	18	widespread	widespread	ADJ
fumecheng-5297	7	19	use	use	NOUN
fumecheng-5297	7	20	of	of	ADP
fumecheng-5297	7	21	coatings	coating	NOUN
fumecheng-5297	7	22	in	in	ADP
fumecheng-5297	7	23	different	different	ADJ
fumecheng-5297	7	24	mechanisms	mechanism	NOUN
fumecheng-5297	7	25	actualizes	actualize	VERB
fumecheng-5297	7	26	the	the	DET
fumecheng-5297	7	27	study	study	NOUN
fumecheng-5297	7	28	of	of	ADP
fumecheng-5297	7	29	contact	contact	NOUN
fumecheng-5297	7	30	and	and	CCONJ
fumecheng-5297	7	31	internal	internal	ADJ
fumecheng-5297	7	32	stresses	stress	NOUN
fumecheng-5297	7	33	and	and	CCONJ
fumecheng-5297	7	34	contact	contact	NOUN
fumecheng-5297	7	35	fatigue	fatigue	NOUN
fumecheng-5297	7	36	damage	damage	NOUN
fumecheng-5297	7	37	accumulation	accumulation	NOUN
fumecheng-5297	7	38	inside	inside	ADP
fumecheng-5297	7	39	the	the	DET
fumecheng-5297	7	40	coated	coated	ADJ
fumecheng-5297	7	41	bodies	body	NOUN
fumecheng-5297	7	42	.	.	PUNCT
fumecheng-5297	8	1	surface	surface	NOUN
fumecheng-5297	8	2	roughness	roughness	NOUN
fumecheng-5297	8	3	of	of	ADP
fumecheng-5297	8	4	counterbody	counterbody	NOUN
fumecheng-5297	8	5	is	be	AUX
fumecheng-5297	8	6	one	one	NUM
fumecheng-5297	8	7	of	of	ADP
fumecheng-5297	8	8	the	the	DET
fumecheng-5297	8	9	parameters	parameter	NOUN
fumecheng-5297	8	10	which	which	DET
fumecheng-5297	8	11	influence	influence	NOUN
fumecheng-5297	8	12	contact	contact	NOUN
fumecheng-5297	8	13	characteristics	characteristic	NOUN
fumecheng-5297	8	14	(	(	PUNCT
fumecheng-5297	8	15	the	the	DET
fumecheng-5297	8	16	pressure	pressure	NOUN
fumecheng-5297	8	17	distribution	distribution	NOUN
fumecheng-5297	8	18	and	and	CCONJ
fumecheng-5297	8	19	the	the	DET
fumecheng-5297	8	20	real	real	ADJ
fumecheng-5297	8	21	contact	contact	NOUN
fumecheng-5297	8	22	area	area	NOUN
fumecheng-5297	8	23	)	)	PUNCT
fumecheng-5297	8	24	and	and	CCONJ
fumecheng-5297	8	25	stresses	stress	NOUN
fumecheng-5297	8	26	inside	inside	ADP
fumecheng-5297	8	27	the	the	DET
fumecheng-5297	8	28	coating	coating	NOUN
fumecheng-5297	8	29	and	and	CCONJ
fumecheng-5297	8	30	the	the	DET
fumecheng-5297	8	31	base	base	NOUN
fumecheng-5297	8	32	.	.	PUNCT
fumecheng-5297	9	1	for	for	ADP
fumecheng-5297	9	2	the	the	DET
fumecheng-5297	9	3	case	case	NOUN
fumecheng-5297	9	4	of	of	ADP
fumecheng-5297	9	5	cycling	cycling	NOUN
fumecheng-5297	9	6	loading	loading	NOUN
fumecheng-5297	9	7	stress	stress	NOUN
fumecheng-5297	9	8	concentration	concentration	NOUN
fumecheng-5297	9	9	near	near	ADP
fumecheng-5297	9	10	contact	contact	NOUN
fumecheng-5297	9	11	spots	spot	NOUN
fumecheng-5297	9	12	leads	lead	VERB
fumecheng-5297	9	13	to	to	ADP
fumecheng-5297	9	14	the	the	DET
fumecheng-5297	9	15	different	different	ADJ
fumecheng-5297	9	16	types	type	NOUN
fumecheng-5297	9	17	of	of	ADP
fumecheng-5297	9	18	the	the	DET
fumecheng-5297	9	19	coating	coating	NOUN
fumecheng-5297	9	20	failure	failure	NOUN
fumecheng-5297	9	21	.	.	PUNCT
fumecheng-5297	10	1	roughness	roughness	NOUN
fumecheng-5297	10	2	in	in	ADP
fumecheng-5297	10	3	contact	contact	NOUN
fumecheng-5297	10	4	problems	problem	NOUN
fumecheng-5297	10	5	is	be	AUX
fumecheng-5297	10	6	often	often	ADV
fumecheng-5297	10	7	modeled	model	VERB
fumecheng-5297	10	8	by	by	ADP
fumecheng-5297	10	9	periodic	periodic	ADJ
fumecheng-5297	10	10	system	system	NOUN
fumecheng-5297	10	11	of	of	ADP
fumecheng-5297	10	12	indenters	indenter	NOUN
fumecheng-5297	10	13	to	to	PART
fumecheng-5297	10	14	analyze	analyze	VERB
fumecheng-5297	10	15	mutual	mutual	ADJ
fumecheng-5297	10	16	effect	effect	NOUN
fumecheng-5297	10	17	for	for	ADP
fumecheng-5297	10	18	different	different	ADJ
fumecheng-5297	10	19	model	model	NOUN
fumecheng-5297	10	20	geometry	geometry	NOUN
fumecheng-5297	10	21	and	and	CCONJ
fumecheng-5297	10	22	to	to	PART
fumecheng-5297	10	23	study	study	VERB
fumecheng-5297	10	24	real	real	ADJ
fumecheng-5297	10	25	contact	contact	NOUN
fumecheng-5297	10	26	area	area	NOUN
fumecheng-5297	10	27	and	and	CCONJ
fumecheng-5297	10	28	the	the	DET
fumecheng-5297	10	29	depth	depth	NOUN
fumecheng-5297	10	30	of	of	ADP
fumecheng-5297	10	31	penetration	penetration	NOUN
fumecheng-5297	10	32	as	as	ADP
fumecheng-5297	10	33	a	a	DET
fumecheng-5297	10	34	function	function	NOUN
fumecheng-5297	10	35	of	of	ADP
fumecheng-5297	10	36	average	average	ADJ
fumecheng-5297	10	37	load	load	NOUN
fumecheng-5297	10	38	applied	apply	VERB
fumecheng-5297	10	39	to	to	ADP
fumecheng-5297	10	40	the	the	DET
fumecheng-5297	10	41	period	period	NOUN
fumecheng-5297	10	42	.	.	PUNCT
fumecheng-5297	11	1	2	2	NUM
fumecheng-5297	11	2	-	-	SYM
fumecheng-5297	11	3	d	d	NOUN
fumecheng-5297	11	4	periodic	periodic	ADJ
fumecheng-5297	11	5	contact	contact	NOUN
fumecheng-5297	11	6	problems	problem	NOUN
fumecheng-5297	11	7	were	be	AUX
fumecheng-5297	11	8	studied	study	VERB
fumecheng-5297	11	9	mostly	mostly	ADV
fumecheng-5297	11	10	by	by	ADP
fumecheng-5297	11	11	analytical	analytical	ADJ
fumecheng-5297	11	12	methods	method	NOUN
fumecheng-5297	11	13	;	;	PUNCT
fumecheng-5297	11	14	the	the	DET
fumecheng-5297	11	15	methods	method	NOUN
fumecheng-5297	11	16	and	and	CCONJ
fumecheng-5297	11	17	results	result	NOUN
fumecheng-5297	11	18	are	be	AUX
fumecheng-5297	11	19	reviewed	review	VERB
fumecheng-5297	11	20	in	in	ADP
fumecheng-5297	11	21	different	different	ADJ
fumecheng-5297	11	22	books	book	NOUN
fumecheng-5297	11	23	and	and	CCONJ
fumecheng-5297	11	24	papers	paper	NOUN
fumecheng-5297	11	25	,	,	PUNCT
fumecheng-5297	11	26	for	for	ADP
fumecheng-5297	11	27	example	example	NOUN
fumecheng-5297	11	28	in	in	ADP
fumecheng-5297	11	29	[	[	X
fumecheng-5297	11	30	1	1	NUM
fumecheng-5297	11	31	]	]	PUNCT
fumecheng-5297	11	32	.	.	PUNCT
fumecheng-5297	12	1	the	the	DET
fumecheng-5297	12	2	mutual	mutual	ADJ
fumecheng-5297	12	3	effect	effect	NOUN
fumecheng-5297	12	4	for	for	ADP
fumecheng-5297	12	5	uncoated	uncoated	ADJ
fumecheng-5297	12	6	elastic	elastic	ADJ
fumecheng-5297	12	7	solids	solid	NOUN
fumecheng-5297	12	8	was	be	AUX
fumecheng-5297	12	9	studied	study	VERB
fumecheng-5297	12	10	in	in	ADP
fumecheng-5297	12	11	[	[	X
fumecheng-5297	12	12	2	2	X
fumecheng-5297	12	13	]	]	PUNCT
fumecheng-5297	12	14	both	both	PRON
fumecheng-5297	12	15	for	for	ADP
fumecheng-5297	12	16	one	one	NUM
fumecheng-5297	12	17	-	-	PUNCT
fumecheng-5297	12	18	level	level	NOUN
fumecheng-5297	12	19	and	and	CCONJ
fumecheng-5297	12	20	multi	multi	ADJ
fumecheng-5297	12	21	-	-	ADJ
fumecheng-5297	12	22	level	level	ADJ
fumecheng-5297	12	23	3	3	NUM
fumecheng-5297	12	24	-	-	PUNCT
fumecheng-5297	12	25	d	d	NOUN
fumecheng-5297	12	26	periodic	periodic	ADJ
fumecheng-5297	12	27	systems	system	NOUN
fumecheng-5297	12	28	of	of	ADP
fumecheng-5297	12	29	indenters	indenter	NOUN
fumecheng-5297	12	30	penetrating	penetrate	VERB
fumecheng-5297	12	31	into	into	ADP
fumecheng-5297	12	32	elastic	elastic	ADJ
fumecheng-5297	12	33	half	half	ADJ
fumecheng-5297	12	34	-	-	PUNCT
fumecheng-5297	12	35	space	space	NOUN
fumecheng-5297	12	36	.	.	PUNCT
fumecheng-5297	13	1	the	the	DET
fumecheng-5297	13	2	most	most	ADV
fumecheng-5297	13	3	recent	recent	ADJ
fumecheng-5297	13	4	studies	study	NOUN
fumecheng-5297	13	5	of	of	ADP
fumecheng-5297	13	6	periodic	periodic	ADJ
fumecheng-5297	13	7	contact	contact	NOUN
fumecheng-5297	13	8	problems	problem	NOUN
fumecheng-5297	13	9	for	for	ADP
fumecheng-5297	13	10	homogeneous	homogeneous	ADJ
fumecheng-5297	13	11	and	and	CCONJ
fumecheng-5297	13	12	transversely	transversely	ADV
fumecheng-5297	13	13	isotropic	isotropic	ADJ
fumecheng-5297	13	14	elastic	elastic	ADJ
fumecheng-5297	13	15	half	half	ADJ
fumecheng-5297	13	16	-	-	PUNCT
fumecheng-5297	13	17	space	space	NOUN
fumecheng-5297	13	18	[	[	X
fumecheng-5297	13	19	3	3	NUM
fumecheng-5297	13	20	-	-	SYM
fumecheng-5297	13	21	5	5	NUM
fumecheng-5297	13	22	]	]	PUNCT
fumecheng-5297	13	23	consider	consider	VERB
fumecheng-5297	13	24	saturation	saturation	NOUN
fumecheng-5297	13	25	received	receive	VERB
fumecheng-5297	13	26	may	may	PROPN
fumecheng-5297	13	27	11	11	NUM
fumecheng-5297	13	28	,	,	PUNCT
fumecheng-5297	13	29	2019	2019	NUM
fumecheng-5297	13	30	/	/	SYM
fumecheng-5297	13	31	accepted	accept	VERB
fumecheng-5297	13	32	july	july	PROPN
fumecheng-5297	13	33	03	03	NUM
fumecheng-5297	13	34	,	,	PUNCT
fumecheng-5297	13	35	2019	2019	NUM
fumecheng-5297	13	36	corresponding	correspond	VERB
fumecheng-5297	13	37	author	author	NOUN
fumecheng-5297	13	38	:	:	PUNCT
fumecheng-5297	13	39	irina	irina	PROPN
fumecheng-5297	13	40	g.	g.	PROPN
fumecheng-5297	13	41	goryacheva	goryacheva	PROPN
fumecheng-5297	13	42	affiliation	affiliation	NOUN
fumecheng-5297	13	43	:	:	PUNCT
fumecheng-5297	13	44	ishlinsky	ishlinsky	PROPN
fumecheng-5297	13	45	institute	institute	PROPN
fumecheng-5297	13	46	for	for	ADP
fumecheng-5297	13	47	problems	problem	NOUN
fumecheng-5297	13	48	in	in	ADP
fumecheng-5297	13	49	mechanics	mechanic	NOUN
fumecheng-5297	13	50	of	of	ADP
fumecheng-5297	13	51	the	the	DET
fumecheng-5297	13	52	russian	russian	PROPN
fumecheng-5297	13	53	academy	academy	PROPN
fumecheng-5297	13	54	of	of	ADP
fumecheng-5297	13	55	sciences	sciences	PROPN
fumecheng-5297	13	56	,	,	PUNCT
fumecheng-5297	13	57	119526	119526	NUM
fumecheng-5297	13	58	moscow	moscow	PROPN
fumecheng-5297	13	59	prospect	prospect	NOUN
fumecheng-5297	13	60	vernadskogo	vernadskogo	NOUN
fumecheng-5297	13	61	,	,	PUNCT
fumecheng-5297	13	62	russia	russia	PROPN
fumecheng-5297	13	63	e	e	NOUN
fumecheng-5297	13	64	-	-	NOUN
fumecheng-5297	13	65	mail	mail	NOUN
fumecheng-5297	13	66	:	:	PUNCT
fumecheng-5297	14	1	goryache@ipmnet.ru	goryache@ipmnet.ru	PROPN
fumecheng-5297	14	2	150	150	NUM
fumecheng-5297	14	3	i.	i.	PROPN
fumecheng-5297	14	4	goryacheva	goryacheva	PROPN
fumecheng-5297	14	5	,	,	PUNCT
fumecheng-5297	14	6	e.	e.	PROPN
fumecheng-5297	14	7	torskaya	torskaya	PROPN
fumecheng-5297	14	8	effect	effect	NOUN
fumecheng-5297	14	9	in	in	ADP
fumecheng-5297	14	10	contact	contact	NOUN
fumecheng-5297	14	11	of	of	ADP
fumecheng-5297	14	12	periodic	periodic	ADJ
fumecheng-5297	14	13	wavy	wavy	ADJ
fumecheng-5297	14	14	surface	surface	NOUN
fumecheng-5297	15	1	[	[	X
fumecheng-5297	15	2	3	3	NUM
fumecheng-5297	15	3	]	]	PUNCT
fumecheng-5297	15	4	or	or	CCONJ
fumecheng-5297	15	5	adhesive	adhesive	ADJ
fumecheng-5297	15	6	contact	contact	NOUN
fumecheng-5297	15	7	for	for	ADP
fumecheng-5297	15	8	a	a	DET
fumecheng-5297	15	9	system	system	NOUN
fumecheng-5297	15	10	of	of	ADP
fumecheng-5297	15	11	indenters	indenter	NOUN
fumecheng-5297	15	12	of	of	ADP
fumecheng-5297	15	13	different	different	ADJ
fumecheng-5297	15	14	shape	shape	NOUN
fumecheng-5297	15	15	and	and	CCONJ
fumecheng-5297	15	16	transversely	transversely	NOUN
fumecheng-5297	15	17	isotropic	isotropic	ADJ
fumecheng-5297	15	18	half	half	ADJ
fumecheng-5297	15	19	-	-	PUNCT
fumecheng-5297	15	20	space	space	NOUN
fumecheng-5297	15	21	[	[	X
fumecheng-5297	15	22	4	4	NUM
fumecheng-5297	15	23	]	]	PUNCT
fumecheng-5297	15	24	.	.	PUNCT
fumecheng-5297	16	1	the	the	DET
fumecheng-5297	16	2	discrete	discrete	ADJ
fumecheng-5297	16	3	contact	contact	NOUN
fumecheng-5297	16	4	problems	problem	NOUN
fumecheng-5297	16	5	for	for	ADP
fumecheng-5297	16	6	the	the	DET
fumecheng-5297	16	7	coated	coat	VERB
fumecheng-5297	16	8	elastic	elastic	ADJ
fumecheng-5297	16	9	bodies	body	NOUN
fumecheng-5297	16	10	were	be	AUX
fumecheng-5297	16	11	studied	study	VERB
fumecheng-5297	16	12	both	both	PRON
fumecheng-5297	16	13	for	for	ADP
fumecheng-5297	16	14	normal	normal	ADJ
fumecheng-5297	16	15	and	and	CCONJ
fumecheng-5297	16	16	sliding	slide	VERB
fumecheng-5297	16	17	contacts	contact	NOUN
fumecheng-5297	16	18	in	in	ADP
fumecheng-5297	16	19	[	[	PUNCT
fumecheng-5297	16	20	6	6	NUM
fumecheng-5297	16	21	-	-	SYM
fumecheng-5297	16	22	9	9	NUM
fumecheng-5297	16	23	]	]	PUNCT
fumecheng-5297	16	24	.	.	PUNCT
fumecheng-5297	17	1	the	the	DET
fumecheng-5297	17	2	coating	coat	VERB
fumecheng-5297	17	3	thickness	thickness	NOUN
fumecheng-5297	17	4	related	relate	VERB
fumecheng-5297	17	5	to	to	ADP
fumecheng-5297	17	6	geometrical	geometrical	ADJ
fumecheng-5297	17	7	parameters	parameter	NOUN
fumecheng-5297	17	8	of	of	ADP
fumecheng-5297	17	9	roughness	roughness	NOUN
fumecheng-5297	17	10	is	be	AUX
fumecheng-5297	17	11	specific	specific	ADJ
fumecheng-5297	17	12	characteristic	characteristic	NOUN
fumecheng-5297	17	13	,	,	PUNCT
fumecheng-5297	17	14	which	which	PRON
fumecheng-5297	17	15	influences	influence	VERB
fumecheng-5297	17	16	contact	contact	NOUN
fumecheng-5297	17	17	and	and	CCONJ
fumecheng-5297	17	18	internal	internal	ADJ
fumecheng-5297	17	19	stress	stress	NOUN
fumecheng-5297	17	20	distributions	distribution	NOUN
fumecheng-5297	17	21	.	.	PUNCT
fumecheng-5297	18	1	two	two	NUM
fumecheng-5297	18	2	approaches	approach	NOUN
fumecheng-5297	18	3	to	to	PART
fumecheng-5297	18	4	model	model	VERB
fumecheng-5297	18	5	the	the	DET
fumecheng-5297	18	6	discrete	discrete	ADJ
fumecheng-5297	18	7	contact	contact	NOUN
fumecheng-5297	18	8	taking	take	VERB
fumecheng-5297	18	9	into	into	ADP
fumecheng-5297	18	10	account	account	NOUN
fumecheng-5297	18	11	the	the	DET
fumecheng-5297	18	12	mutual	mutual	ADJ
fumecheng-5297	18	13	contact	contact	NOUN
fumecheng-5297	18	14	effect	effect	NOUN
fumecheng-5297	18	15	were	be	AUX
fumecheng-5297	18	16	developed	develop	VERB
fumecheng-5297	18	17	almost	almost	ADV
fumecheng-5297	18	18	at	at	ADP
fumecheng-5297	18	19	the	the	DET
fumecheng-5297	18	20	same	same	ADJ
fumecheng-5297	18	21	time	time	NOUN
fumecheng-5297	18	22	.	.	PUNCT
fumecheng-5297	19	1	periodic	periodic	ADJ
fumecheng-5297	19	2	one	one	NUM
fumecheng-5297	19	3	-	-	PUNCT
fumecheng-5297	19	4	level	level	NOUN
fumecheng-5297	19	5	system	system	NOUN
fumecheng-5297	19	6	of	of	ADP
fumecheng-5297	19	7	spherical	spherical	ADJ
fumecheng-5297	19	8	indenters	indenter	NOUN
fumecheng-5297	19	9	penetrating	penetrate	VERB
fumecheng-5297	19	10	into	into	ADP
fumecheng-5297	19	11	the	the	DET
fumecheng-5297	19	12	two	two	NUM
fumecheng-5297	19	13	-	-	PUNCT
fumecheng-5297	19	14	layered	layer	VERB
fumecheng-5297	19	15	elastic	elastic	ADJ
fumecheng-5297	19	16	half	half	ADJ
fumecheng-5297	19	17	-	-	PUNCT
fumecheng-5297	19	18	space	space	NOUN
fumecheng-5297	19	19	was	be	AUX
fumecheng-5297	19	20	considered	consider	VERB
fumecheng-5297	19	21	in	in	ADP
fumecheng-5297	19	22	[	[	X
fumecheng-5297	19	23	6	6	NUM
fumecheng-5297	19	24	]	]	SYM
fumecheng-5297	19	25	;	;	PUNCT
fumecheng-5297	19	26	2	2	NUM
fumecheng-5297	19	27	-	-	SYM
fumecheng-5297	19	28	d	d	NOUN
fumecheng-5297	19	29	contact	contact	NOUN
fumecheng-5297	19	30	problem	problem	NOUN
fumecheng-5297	19	31	for	for	ADP
fumecheng-5297	19	32	a	a	DET
fumecheng-5297	19	33	measured	measured	ADJ
fumecheng-5297	19	34	profile	profile	NOUN
fumecheng-5297	19	35	of	of	ADP
fumecheng-5297	19	36	counterbody	counterbody	NOUN
fumecheng-5297	19	37	was	be	AUX
fumecheng-5297	19	38	solved	solve	VERB
fumecheng-5297	19	39	in	in	ADP
fumecheng-5297	19	40	[	[	X
fumecheng-5297	19	41	7	7	NUM
fumecheng-5297	19	42	]	]	PUNCT
fumecheng-5297	19	43	.	.	PUNCT
fumecheng-5297	20	1	the	the	DET
fumecheng-5297	20	2	same	same	ADJ
fumecheng-5297	20	3	models	model	NOUN
fumecheng-5297	20	4	of	of	ADP
fumecheng-5297	20	5	discrete	discrete	ADJ
fumecheng-5297	20	6	contact	contact	NOUN
fumecheng-5297	20	7	were	be	AUX
fumecheng-5297	20	8	used	use	VERB
fumecheng-5297	20	9	to	to	PART
fumecheng-5297	20	10	take	take	VERB
fumecheng-5297	20	11	into	into	ADP
fumecheng-5297	20	12	account	account	NOUN
fumecheng-5297	20	13	roughness	roughness	NOUN
fumecheng-5297	20	14	in	in	ADP
fumecheng-5297	20	15	3d	3d	PROPN
fumecheng-5297	20	16	macro	macro	PROPN
fumecheng-5297	20	17	contact	contact	NOUN
fumecheng-5297	20	18	problem	problem	NOUN
fumecheng-5297	20	19	solution	solution	NOUN
fumecheng-5297	20	20	[	[	X
fumecheng-5297	20	21	8	8	NUM
fumecheng-5297	20	22	,	,	PUNCT
fumecheng-5297	20	23	9	9	NUM
fumecheng-5297	20	24	]	]	PUNCT
fumecheng-5297	20	25	;	;	PUNCT
fumecheng-5297	20	26	in	in	ADP
fumecheng-5297	20	27	both	both	DET
fumecheng-5297	20	28	studies	study	NOUN
fumecheng-5297	20	29	friction	friction	NOUN
fumecheng-5297	20	30	is	be	AUX
fumecheng-5297	20	31	also	also	ADV
fumecheng-5297	20	32	considered	consider	VERB
fumecheng-5297	20	33	.	.	PUNCT
fumecheng-5297	21	1	for	for	ADP
fumecheng-5297	21	2	thick	thick	ADJ
fumecheng-5297	21	3	coatings	coating	NOUN
fumecheng-5297	21	4	some	some	PRON
fumecheng-5297	21	5	results	result	VERB
fumecheng-5297	21	6	from	from	ADP
fumecheng-5297	21	7	[	[	X
fumecheng-5297	21	8	2	2	NUM
fumecheng-5297	21	9	]	]	PUNCT
fumecheng-5297	21	10	,	,	PUNCT
fumecheng-5297	21	11	which	which	PRON
fumecheng-5297	21	12	are	be	AUX
fumecheng-5297	21	13	mostly	mostly	ADV
fumecheng-5297	21	14	analytical	analytical	ADJ
fumecheng-5297	21	15	,	,	PUNCT
fumecheng-5297	21	16	can	can	AUX
fumecheng-5297	21	17	be	be	AUX
fumecheng-5297	21	18	used	use	VERB
fumecheng-5297	21	19	for	for	ADP
fumecheng-5297	21	20	verification	verification	NOUN
fumecheng-5297	21	21	of	of	ADP
fumecheng-5297	21	22	semi	semi	ADJ
fumecheng-5297	21	23	analytical	analytical	ADJ
fumecheng-5297	21	24	and	and	CCONJ
fumecheng-5297	21	25	numerical	numerical	ADJ
fumecheng-5297	21	26	solutions	solution	NOUN
fumecheng-5297	21	27	of	of	ADP
fumecheng-5297	21	28	the	the	DET
fumecheng-5297	21	29	similar	similar	ADJ
fumecheng-5297	21	30	counter	counter	NOUN
fumecheng-5297	21	31	body	body	NOUN
fumecheng-5297	21	32	microgeometry	microgeometry	NOUN
fumecheng-5297	21	33	.	.	PUNCT
fumecheng-5297	22	1	in	in	ADP
fumecheng-5297	22	2	this	this	DET
fumecheng-5297	22	3	study	study	NOUN
fumecheng-5297	22	4	a	a	DET
fumecheng-5297	22	5	multi	multi	ADJ
fumecheng-5297	22	6	-	-	ADJ
fumecheng-5297	22	7	level	level	ADJ
fumecheng-5297	22	8	periodic	periodic	ADJ
fumecheng-5297	22	9	contact	contact	NOUN
fumecheng-5297	22	10	problem	problem	NOUN
fumecheng-5297	22	11	for	for	ADP
fumecheng-5297	22	12	a	a	DET
fumecheng-5297	22	13	two	two	NUM
fumecheng-5297	22	14	-	-	PUNCT
fumecheng-5297	22	15	layered	layer	VERB
fumecheng-5297	22	16	elastic	elastic	ADJ
fumecheng-5297	22	17	halfspace	halfspace	NOUN
fumecheng-5297	22	18	is	be	AUX
fumecheng-5297	22	19	considered	consider	VERB
fumecheng-5297	22	20	.	.	PUNCT
fumecheng-5297	23	1	each	each	DET
fumecheng-5297	23	2	level	level	NOUN
fumecheng-5297	23	3	has	have	VERB
fumecheng-5297	23	4	particular	particular	ADJ
fumecheng-5297	23	5	geometry	geometry	NOUN
fumecheng-5297	23	6	of	of	ADP
fumecheng-5297	23	7	indenters	indenter	NOUN
fumecheng-5297	23	8	which	which	PRON
fumecheng-5297	23	9	are	be	AUX
fumecheng-5297	23	10	uniformly	uniformly	ADV
fumecheng-5297	23	11	space	space	NOUN
fumecheng-5297	23	12	distributed	distribute	VERB
fumecheng-5297	23	13	.	.	PUNCT
fumecheng-5297	24	1	the	the	DET
fumecheng-5297	24	2	mutual	mutual	ADJ
fumecheng-5297	24	3	effect	effect	NOUN
fumecheng-5297	24	4	of	of	ADP
fumecheng-5297	24	5	contact	contact	NOUN
fumecheng-5297	24	6	spots	spot	NOUN
fumecheng-5297	24	7	is	be	AUX
fumecheng-5297	24	8	taken	take	VERB
fumecheng-5297	24	9	into	into	ADP
fumecheng-5297	24	10	account	account	NOUN
fumecheng-5297	24	11	.	.	PUNCT
fumecheng-5297	25	1	the	the	DET
fumecheng-5297	25	2	model	model	NOUN
fumecheng-5297	25	3	is	be	AUX
fumecheng-5297	25	4	used	use	VERB
fumecheng-5297	25	5	to	to	PART
fumecheng-5297	25	6	calculate	calculate	VERB
fumecheng-5297	25	7	contact	contact	NOUN
fumecheng-5297	25	8	and	and	CCONJ
fumecheng-5297	25	9	internal	internal	ADJ
fumecheng-5297	25	10	stresses	stress	NOUN
fumecheng-5297	25	11	for	for	ADP
fumecheng-5297	25	12	relatively	relatively	ADV
fumecheng-5297	25	13	hard	hard	ADJ
fumecheng-5297	25	14	and	and	CCONJ
fumecheng-5297	25	15	soft	soft	ADJ
fumecheng-5297	25	16	coatings	coating	NOUN
fumecheng-5297	25	17	and	and	CCONJ
fumecheng-5297	25	18	to	to	PART
fumecheng-5297	25	19	analyze	analyze	VERB
fumecheng-5297	25	20	the	the	DET
fumecheng-5297	25	21	effect	effect	NOUN
fumecheng-5297	25	22	of	of	ADP
fumecheng-5297	25	23	microgeometry	microgeometry	NOUN
fumecheng-5297	25	24	parameters	parameter	NOUN
fumecheng-5297	25	25	(	(	PUNCT
fumecheng-5297	25	26	space	space	NOUN
fumecheng-5297	25	27	distribution	distribution	NOUN
fumecheng-5297	25	28	of	of	ADP
fumecheng-5297	25	29	asperities	asperity	NOUN
fumecheng-5297	25	30	and	and	CCONJ
fumecheng-5297	25	31	their	their	PRON
fumecheng-5297	25	32	microshapes	microshape	NOUN
fumecheng-5297	25	33	)	)	PUNCT
fumecheng-5297	25	34	on	on	ADP
fumecheng-5297	25	35	contact	contact	NOUN
fumecheng-5297	25	36	characteristics	characteristic	NOUN
fumecheng-5297	25	37	and	and	CCONJ
fumecheng-5297	25	38	internal	internal	ADJ
fumecheng-5297	25	39	stress	stress	NOUN
fumecheng-5297	25	40	distributions	distribution	NOUN
fumecheng-5297	25	41	.	.	PUNCT
fumecheng-5297	26	1	2	2	X
fumecheng-5297	26	2	.	.	X
fumecheng-5297	26	3	problem	problem	NOUN
fumecheng-5297	26	4	formulation	formulation	NOUN
fumecheng-5297	26	5	and	and	CCONJ
fumecheng-5297	26	6	the	the	DET
fumecheng-5297	26	7	method	method	NOUN
fumecheng-5297	26	8	of	of	ADP
fumecheng-5297	26	9	solution	solution	NOUN
fumecheng-5297	26	10	2.1	2.1	NUM
fumecheng-5297	26	11	.	.	PUNCT
fumecheng-5297	27	1	problem	problem	NOUN
fumecheng-5297	27	2	formulation	formulation	NOUN
fumecheng-5297	27	3	two	two	NUM
fumecheng-5297	27	4	-	-	PUNCT
fumecheng-5297	27	5	layered	layer	VERB
fumecheng-5297	27	6	elastic	elastic	ADJ
fumecheng-5297	27	7	half	half	ADJ
fumecheng-5297	27	8	-	-	PUNCT
fumecheng-5297	27	9	space	space	NOUN
fumecheng-5297	27	10	is	be	AUX
fumecheng-5297	27	11	considered	consider	VERB
fumecheng-5297	27	12	in	in	ADP
fumecheng-5297	27	13	contact	contact	NOUN
fumecheng-5297	27	14	with	with	ADP
fumecheng-5297	27	15	a	a	DET
fumecheng-5297	27	16	periodic	periodic	ADJ
fumecheng-5297	27	17	system	system	NOUN
fumecheng-5297	27	18	of	of	ADP
fumecheng-5297	27	19	rigid	rigid	ADJ
fumecheng-5297	27	20	indenters	indenter	NOUN
fumecheng-5297	27	21	(	(	PUNCT
fumecheng-5297	27	22	asperities	asperity	NOUN
fumecheng-5297	27	23	)	)	PUNCT
fumecheng-5297	27	24	uniformly	uniformly	ADV
fumecheng-5297	27	25	distributed	distribute	VERB
fumecheng-5297	27	26	at	at	ADP
fumecheng-5297	27	27	k	k	PROPN
fumecheng-5297	27	28	height	height	PROPN
fumecheng-5297	27	29	levels	level	NOUN
fumecheng-5297	27	30	.	.	PUNCT
fumecheng-5297	28	1	in	in	ADP
fumecheng-5297	28	2	the	the	DET
fumecheng-5297	28	3	cylindrical	cylindrical	ADJ
fumecheng-5297	28	4	coordinate	coordinate	NOUN
fumecheng-5297	28	5	system	system	NOUN
fumecheng-5297	28	6	related	relate	VERB
fumecheng-5297	28	7	to	to	ADP
fumecheng-5297	28	8	each	each	DET
fumecheng-5297	28	9	indenter	indenter	NOUN
fumecheng-5297	28	10	,	,	PUNCT
fumecheng-5297	28	11	the	the	DET
fumecheng-5297	28	12	shape	shape	NOUN
fumecheng-5297	28	13	of	of	ADP
fumecheng-5297	28	14	the	the	DET
fumecheng-5297	28	15	indenter	indenter	NOUN
fumecheng-5297	28	16	is	be	AUX
fumecheng-5297	28	17	described	describe	VERB
fumecheng-5297	28	18	by	by	ADP
fumecheng-5297	28	19	the	the	DET
fumecheng-5297	28	20	following	follow	VERB
fumecheng-5297	28	21	function	function	NOUN
fumecheng-5297	28	22	:	:	PUNCT
fumecheng-5297	28	23	(	(	PUNCT
fumecheng-5297	28	24	)	)	PUNCT
fumecheng-5297	28	25	,	,	PUNCT
fumecheng-5297	28	26	1	1	X
fumecheng-5297	28	27	...	...	SYM
fumecheng-5297	28	28	m	m	VERB
fumecheng-5297	28	29	mz	mz	NOUN
fumecheng-5297	29	1	f	f	PROPN
fumecheng-5297	29	2	r	r	NOUN
fumecheng-5297	29	3	h	h	NOUN
fumecheng-5297	29	4	m	m	VERB
fumecheng-5297	29	5	k	k	NOUN
fumecheng-5297	29	6			ADV
fumecheng-5297	29	7			PROPN
fumecheng-5297	29	8	(	(	PUNCT
fumecheng-5297	29	9	1	1	NUM
fumecheng-5297	29	10	)	)	PUNCT
fumecheng-5297	29	11	here	here	ADV
fumecheng-5297	29	12	functions	function	NOUN
fumecheng-5297	29	13	fm(r	fm(r	PUNCT
fumecheng-5297	29	14	)	)	PUNCT
fumecheng-5297	30	1	and	and	CCONJ
fumecheng-5297	30	2	hm	hm	INTJ
fumecheng-5297	30	3	describe	describe	VERB
fumecheng-5297	30	4	the	the	DET
fumecheng-5297	30	5	shape	shape	NOUN
fumecheng-5297	30	6	and	and	CCONJ
fumecheng-5297	30	7	the	the	DET
fumecheng-5297	30	8	height	height	NOUN
fumecheng-5297	30	9	of	of	ADP
fumecheng-5297	30	10	the	the	DET
fumecheng-5297	30	11	asperity	asperity	NOUN
fumecheng-5297	30	12	of	of	ADP
fumecheng-5297	30	13	the	the	DET
fumecheng-5297	30	14	m	m	PROPN
fumecheng-5297	30	15	-	-	PUNCT
fumecheng-5297	30	16	th	th	VERB
fumecheng-5297	30	17	level	level	NOUN
fumecheng-5297	30	18	respectively	respectively	ADV
fumecheng-5297	30	19	,	,	PUNCT
fumecheng-5297	30	20	r	r	NOUN
fumecheng-5297	30	21	is	be	AUX
fumecheng-5297	30	22	the	the	DET
fumecheng-5297	30	23	radial	radial	ADJ
fumecheng-5297	30	24	coordinate	coordinate	NOUN
fumecheng-5297	30	25	of	of	ADP
fumecheng-5297	30	26	the	the	DET
fumecheng-5297	30	27	polar	polar	ADJ
fumecheng-5297	30	28	system	system	NOUN
fumecheng-5297	30	29	coordinates	coordinate	NOUN
fumecheng-5297	30	30	with	with	ADP
fumecheng-5297	30	31	the	the	DET
fumecheng-5297	30	32	center	center	NOUN
fumecheng-5297	30	33	at	at	ADP
fumecheng-5297	30	34	the	the	DET
fumecheng-5297	30	35	point	point	NOUN
fumecheng-5297	30	36	of	of	ADP
fumecheng-5297	30	37	initial	initial	ADJ
fumecheng-5297	30	38	contact	contact	NOUN
fumecheng-5297	30	39	of	of	ADP
fumecheng-5297	30	40	the	the	DET
fumecheng-5297	30	41	asperity	asperity	NOUN
fumecheng-5297	30	42	.	.	PUNCT
fumecheng-5297	31	1	in	in	ADP
fumecheng-5297	31	2	contact	contact	NOUN
fumecheng-5297	31	3	interaction	interaction	NOUN
fumecheng-5297	31	4	the	the	DET
fumecheng-5297	31	5	areas	area	NOUN
fumecheng-5297	31	6	of	of	ADP
fumecheng-5297	31	7	contact	contact	NOUN
fumecheng-5297	31	8	regions	region	NOUN
fumecheng-5297	31	9	im	im	NOUN
fumecheng-5297	31	10	are	be	AUX
fumecheng-5297	31	11	different	different	ADJ
fumecheng-5297	31	12	for	for	ADP
fumecheng-5297	31	13	the	the	DET
fumecheng-5297	31	14	contact	contact	NOUN
fumecheng-5297	31	15	spots	spot	NOUN
fumecheng-5297	31	16	of	of	ADP
fumecheng-5297	31	17	various	various	ADJ
fumecheng-5297	31	18	levels	level	NOUN
fumecheng-5297	31	19	(	(	PUNCT
fumecheng-5297	31	20	index	index	NOUN
fumecheng-5297	31	21	i	i	PRON
fumecheng-5297	31	22	indicates	indicate	VERB
fumecheng-5297	31	23	the	the	DET
fumecheng-5297	31	24	fixed	fix	VERB
fumecheng-5297	31	25	asperity	asperity	NOUN
fumecheng-5297	31	26	of	of	ADP
fumecheng-5297	31	27	the	the	DET
fumecheng-5297	31	28	m	m	PROPN
fumecheng-5297	31	29	-	-	PUNCT
fumecheng-5297	31	30	th	th	VERB
fumecheng-5297	31	31	level	level	NOUN
fumecheng-5297	31	32	)	)	PUNCT
fumecheng-5297	31	33	,	,	PUNCT
fumecheng-5297	31	34	and	and	CCONJ
fumecheng-5297	31	35	the	the	DET
fumecheng-5297	31	36	asperities	asperity	NOUN
fumecheng-5297	31	37	come	come	VERB
fumecheng-5297	31	38	into	into	ADP
fumecheng-5297	31	39	contact	contact	NOUN
fumecheng-5297	31	40	at	at	ADP
fumecheng-5297	31	41	definite	definite	ADJ
fumecheng-5297	31	42	penetrations	penetration	NOUN
fumecheng-5297	31	43	of	of	ADP
fumecheng-5297	31	44	the	the	DET
fumecheng-5297	31	45	whole	whole	ADJ
fumecheng-5297	31	46	system	system	NOUN
fumecheng-5297	31	47	corresponding	correspond	VERB
fumecheng-5297	31	48	to	to	ADP
fumecheng-5297	31	49	their	their	PRON
fumecheng-5297	31	50	space	space	NOUN
fumecheng-5297	31	51	location	location	NOUN
fumecheng-5297	31	52	.	.	PUNCT
fumecheng-5297	32	1	the	the	DET
fumecheng-5297	32	2	example	example	NOUN
fumecheng-5297	32	3	of	of	ADP
fumecheng-5297	32	4	the	the	DET
fumecheng-5297	32	5	contact	contact	NOUN
fumecheng-5297	32	6	spots	spot	VERB
fumecheng-5297	32	7	distribution	distribution	NOUN
fumecheng-5297	32	8	at	at	ADP
fumecheng-5297	32	9	the	the	DET
fumecheng-5297	32	10	surface	surface	NOUN
fumecheng-5297	32	11	is	be	AUX
fumecheng-5297	32	12	presented	present	VERB
fumecheng-5297	32	13	in	in	ADP
fumecheng-5297	32	14	fig.1	fig.1	PROPN
fumecheng-5297	32	15	for	for	ADP
fumecheng-5297	32	16	the	the	DET
fumecheng-5297	32	17	case	case	NOUN
fumecheng-5297	32	18	k=3	k=3	PROPN
fumecheng-5297	32	19	.	.	PUNCT
fumecheng-5297	33	1	in	in	ADP
fumecheng-5297	33	2	this	this	DET
fumecheng-5297	33	3	case	case	NOUN
fumecheng-5297	33	4	the	the	DET
fumecheng-5297	33	5	indenters	indenter	NOUN
fumecheng-5297	33	6	are	be	AUX
fumecheng-5297	33	7	located	locate	VERB
fumecheng-5297	33	8	at	at	ADP
fumecheng-5297	33	9	the	the	DET
fumecheng-5297	33	10	nodes	node	NOUN
fumecheng-5297	33	11	of	of	ADP
fumecheng-5297	33	12	the	the	DET
fumecheng-5297	33	13	hexagonal	hexagonal	ADJ
fumecheng-5297	33	14	lattice	lattice	NOUN
fumecheng-5297	33	15	,	,	PUNCT
fumecheng-5297	33	16	and	and	CCONJ
fumecheng-5297	33	17	l	l	NOUN
fumecheng-5297	33	18	is	be	AUX
fumecheng-5297	33	19	the	the	DET
fumecheng-5297	33	20	lattice	lattice	ADJ
fumecheng-5297	33	21	period	period	NOUN
fumecheng-5297	33	22	.	.	PUNCT
fumecheng-5297	34	1	at	at	ADP
fumecheng-5297	34	2	the	the	DET
fumecheng-5297	34	3	first	first	ADJ
fumecheng-5297	34	4	step	step	NOUN
fumecheng-5297	34	5	we	we	PRON
fumecheng-5297	34	6	introduce	introduce	VERB
fumecheng-5297	34	7	the	the	DET
fumecheng-5297	34	8	polar	polar	ADJ
fumecheng-5297	34	9	system	system	NOUN
fumecheng-5297	34	10	of	of	ADP
fumecheng-5297	34	11	coordinates	coordinate	NOUN
fumecheng-5297	34	12	at	at	ADP
fumecheng-5297	34	13	the	the	DET
fumecheng-5297	34	14	layer	layer	NOUN
fumecheng-5297	34	15	surface	surface	NOUN
fumecheng-5297	34	16	with	with	ADP
fumecheng-5297	34	17	the	the	DET
fumecheng-5297	34	18	center	center	NOUN
fumecheng-5297	34	19	at	at	ADP
fumecheng-5297	34	20	the	the	DET
fumecheng-5297	34	21	point	point	NOUN
fumecheng-5297	34	22	of	of	ADP
fumecheng-5297	34	23	initial	initial	ADJ
fumecheng-5297	34	24	contact	contact	NOUN
fumecheng-5297	34	25	of	of	ADP
fumecheng-5297	34	26	the	the	DET
fumecheng-5297	34	27	fixed	fix	VERB
fumecheng-5297	34	28	highest	high	ADJ
fumecheng-5297	34	29	asperity	asperity	NOUN
fumecheng-5297	34	30	(	(	PUNCT
fumecheng-5297	34	31	see	see	VERB
fumecheng-5297	34	32	fig.1	fig.1	PROPN
fumecheng-5297	34	33	)	)	PUNCT
fumecheng-5297	34	34	.	.	PUNCT
fumecheng-5297	35	1	the	the	DET
fumecheng-5297	35	2	centers	center	NOUN
fumecheng-5297	35	3	of	of	ADP
fumecheng-5297	35	4	the	the	DET
fumecheng-5297	35	5	other	other	ADJ
fumecheng-5297	35	6	contact	contact	NOUN
fumecheng-5297	35	7	spots	spot	NOUN
fumecheng-5297	35	8	im	im	NOUN
fumecheng-5297	35	9	have	have	VERB
fumecheng-5297	35	10	radius	radius	NOUN
fumecheng-5297	35	11	-	-	PUNCT
fumecheng-5297	35	12	vectors	vector	NOUN
fumecheng-5297	35	13	imr	imr	NOUN
fumecheng-5297	35	14	.	.	PUNCT
fumecheng-5297	36	1	the	the	DET
fumecheng-5297	36	2	axis	axis	NOUN
fumecheng-5297	36	3	oz	oz	NOUN
fumecheng-5297	36	4	is	be	AUX
fumecheng-5297	36	5	perpendicular	perpendicular	ADJ
fumecheng-5297	36	6	to	to	ADP
fumecheng-5297	36	7	the	the	DET
fumecheng-5297	36	8	layer	layer	NOUN
fumecheng-5297	36	9	surface	surface	NOUN
fumecheng-5297	36	10	and	and	CCONJ
fumecheng-5297	36	11	directed	direct	VERB
fumecheng-5297	36	12	inside	inside	ADP
fumecheng-5297	36	13	two	two	NUM
fumecheng-5297	36	14	-	-	PUNCT
fumecheng-5297	36	15	layered	layer	VERB
fumecheng-5297	36	16	half	half	ADJ
fumecheng-5297	36	17	-	-	PUNCT
fumecheng-5297	36	18	space	space	NOUN
fumecheng-5297	36	19	.	.	PUNCT
fumecheng-5297	37	1	under	under	ADP
fumecheng-5297	37	2	the	the	DET
fumecheng-5297	37	3	assumption	assumption	NOUN
fumecheng-5297	37	4	that	that	SCONJ
fumecheng-5297	37	5	the	the	DET
fumecheng-5297	37	6	shear	shear	NOUN
fumecheng-5297	37	7	stresses	stress	VERB
fumecheng-5297	37	8	within	within	ADP
fumecheng-5297	37	9	the	the	DET
fumecheng-5297	37	10	contact	contact	NOUN
fumecheng-5297	37	11	spots	spot	NOUN
fumecheng-5297	37	12	are	be	AUX
fumecheng-5297	37	13	negligibly	negligibly	ADV
fumecheng-5297	37	14	small	small	ADJ
fumecheng-5297	37	15	,	,	PUNCT
fumecheng-5297	37	16	the	the	DET
fumecheng-5297	37	17	boundary	boundary	ADJ
fumecheng-5297	37	18	conditions	condition	NOUN
fumecheng-5297	37	19	at	at	ADP
fumecheng-5297	37	20	the	the	DET
fumecheng-5297	37	21	surface	surface	NOUN
fumecheng-5297	37	22	of	of	ADP
fumecheng-5297	37	23	the	the	DET
fumecheng-5297	37	24	layer	layer	NOUN
fumecheng-5297	37	25	(	(	PUNCT
fumecheng-5297	37	26	z	z	NOUN
fumecheng-5297	37	27	=	=	SYM
fumecheng-5297	37	28	0	0	NUM
fumecheng-5297	37	29	)	)	PUNCT
fumecheng-5297	37	30	are	be	AUX
fumecheng-5297	37	31	the	the	DET
fumecheng-5297	37	32	following	following	NOUN
fumecheng-5297	37	33	:	:	PUNCT
fumecheng-5297	37	34	contact	contact	NOUN
fumecheng-5297	37	35	of	of	ADP
fumecheng-5297	37	36	multi	multi	ADJ
fumecheng-5297	37	37	-	-	ADJ
fumecheng-5297	37	38	level	level	ADJ
fumecheng-5297	37	39	periodic	periodic	ADJ
fumecheng-5297	37	40	system	system	NOUN
fumecheng-5297	37	41	of	of	ADP
fumecheng-5297	37	42	indenters	indenter	NOUN
fumecheng-5297	37	43	with	with	ADP
fumecheng-5297	37	44	coated	coated	ADJ
fumecheng-5297	37	45	elastic	elastic	ADJ
fumecheng-5297	37	46	half	half	ADJ
fumecheng-5297	37	47	-	-	PUNCT
fumecheng-5297	37	48	space	space	NOUN
fumecheng-5297	37	49	151	151	NUM
fumecheng-5297	37	50	(	(	PUNCT
fumecheng-5297	37	51	1	1	NUM
fumecheng-5297	37	52	)	)	PUNCT
fumecheng-5297	37	53	(	(	PUNCT
fumecheng-5297	37	54	1	1	X
fumecheng-5297	37	55	)	)	PUNCT
fumecheng-5297	37	56	(	(	PUNCT
fumecheng-5297	37	57	1	1	X
fumecheng-5297	37	58	)	)	PUNCT
fumecheng-5297	37	59	(	(	PUNCT
fumecheng-5297	37	60	)	)	PUNCT
fumecheng-5297	37	61	(	(	PUNCT
fumecheng-5297	37	62	)	)	PUNCT
fumecheng-5297	37	63	,	,	PUNCT
fumecheng-5297	37	64	,	,	PUNCT
fumecheng-5297	37	65	0	0	NUM
fumecheng-5297	37	66	,	,	PUNCT
fumecheng-5297	37	67	,	,	PUNCT
fumecheng-5297	37	68	1	1	X
fumecheng-5297	37	69	..	..	PUNCT
fumecheng-5297	37	70	,	,	PUNCT
fumecheng-5297	37	71	1,2	1,2	NUM
fumecheng-5297	37	72	,	,	PUNCT
fumecheng-5297	37	73	,	,	PUNCT
fumecheng-5297	37	74	0	0	NUM
fumecheng-5297	37	75	,	,	PUNCT
fumecheng-5297	37	76	0	0	NUM
fumecheng-5297	37	77	,	,	PUNCT
fumecheng-5297	37	78	0	0	PUNCT
fumecheng-5297	38	1	i	i	PRON
fumecheng-5297	38	2	m	m	VERB
fumecheng-5297	38	3	m	m	VERB
fumecheng-5297	38	4	i	i	PRON
fumecheng-5297	38	5	m	m	VERB
fumecheng-5297	38	6	m	m	VERB
fumecheng-5297	38	7	i	i	PRON
fumecheng-5297	38	8	m	m	VERB
fumecheng-5297	38	9	z	z	VERB
fumecheng-5297	39	1	i	i	PRON
fumecheng-5297	39	2	m	m	VERB
fumecheng-5297	39	3	xz	xz	PROPN
fumecheng-5297	39	4	yz	yz	PROPN
fumecheng-5297	40	1	w	w	PROPN
fumecheng-5297	40	2	r	r	NOUN
fumecheng-5297	40	3	r	r	NOUN
fumecheng-5297	40	4	f	f	NOUN
fumecheng-5297	40	5	r	r	NOUN
fumecheng-5297	40	6	r	r	NOUN
fumecheng-5297	40	7	h	h	NOUN
fumecheng-5297	40	8	r	r	NOUN
fumecheng-5297	41	1	r	r	NOUN
fumecheng-5297	41	2	m	m	VERB
fumecheng-5297	41	3	k	k	NOUN
fumecheng-5297	42	1	i	i	PRON
fumecheng-5297	42	2	r	r	NOUN
fumecheng-5297	42	3			NUM
fumecheng-5297	42	4			X
fumecheng-5297	42	5			PROPN
fumecheng-5297	42	6			X
fumecheng-5297	42	7			NOUN
fumecheng-5297	42	8			NOUN
fumecheng-5297	42	9			PROPN
fumecheng-5297	42	10			PROPN
fumecheng-5297	42	11			PROPN
fumecheng-5297	42	12			CCONJ
fumecheng-5297	42	13			PROPN
fumecheng-5297	42	14			NOUN
fumecheng-5297	42	15			NUM
fumecheng-5297	42	16			NUM
fumecheng-5297	42	17			NUM
fumecheng-5297	42	18			NOUN
fumecheng-5297	42	19			VERB
fumecheng-5297	42	20			NUM
fumecheng-5297	42	21			NUM
fumecheng-5297	42	22			NOUN
fumecheng-5297	42	23			PROPN
fumecheng-5297	42	24			VERB
fumecheng-5297	42	25	(	(	PUNCT
fumecheng-5297	42	26	2	2	NUM
fumecheng-5297	42	27	)	)	PUNCT
fumecheng-5297	42	28	where	where	SCONJ
fumecheng-5297	42	29			PROPN
fumecheng-5297	42	30	is	be	AUX
fumecheng-5297	42	31	the	the	DET
fumecheng-5297	42	32	system	system	NOUN
fumecheng-5297	42	33	penetration	penetration	NOUN
fumecheng-5297	42	34	.	.	PUNCT
fumecheng-5297	43	1	fig	fig	NOUN
fumecheng-5297	43	2	.	.	PUNCT
fumecheng-5297	44	1	1	1	NUM
fumecheng-5297	44	2	scheme	scheme	NOUN
fumecheng-5297	44	3	of	of	ADP
fumecheng-5297	44	4	the	the	DET
fumecheng-5297	44	5	contact	contact	NOUN
fumecheng-5297	44	6	for	for	ADP
fumecheng-5297	44	7	the	the	DET
fumecheng-5297	44	8	system	system	NOUN
fumecheng-5297	44	9	of	of	ADP
fumecheng-5297	44	10	indenters	indenter	NOUN
fumecheng-5297	44	11	located	locate	VERB
fumecheng-5297	44	12	at	at	ADP
fumecheng-5297	44	13	3	3	NUM
fumecheng-5297	44	14	height	height	NOUN
fumecheng-5297	44	15	levels	level	NOUN
fumecheng-5297	44	16	boundary	boundary	ADJ
fumecheng-5297	44	17	conditions	condition	NOUN
fumecheng-5297	44	18	at	at	ADP
fumecheng-5297	44	19	the	the	DET
fumecheng-5297	44	20	layer	layer	NOUN
fumecheng-5297	44	21	half	half	ADJ
fumecheng-5297	44	22	-	-	PUNCT
fumecheng-5297	44	23	space	space	NOUN
fumecheng-5297	44	24	interface	interface	NOUN
fumecheng-5297	44	25	(	(	PUNCT
fumecheng-5297	44	26	z	z	NOUN
fumecheng-5297	44	27	=	=	NOUN
fumecheng-5297	44	28	h	h	NOUN
fumecheng-5297	44	29	)	)	PUNCT
fumecheng-5297	44	30	correspond	correspond	VERB
fumecheng-5297	44	31	to	to	ADP
fumecheng-5297	44	32	the	the	DET
fumecheng-5297	44	33	case	case	NOUN
fumecheng-5297	44	34	of	of	ADP
fumecheng-5297	44	35	perfect	perfect	ADJ
fumecheng-5297	44	36	coating	coating	NOUN
fumecheng-5297	44	37	-	-	PUNCT
fumecheng-5297	44	38	substrate	substrate	NOUN
fumecheng-5297	44	39	adhesion	adhesion	NOUN
fumecheng-5297	44	40	:	:	PUNCT
fumecheng-5297	44	41	(	(	PUNCT
fumecheng-5297	44	42	1	1	X
fumecheng-5297	44	43	)	)	PUNCT
fumecheng-5297	44	44	(	(	PUNCT
fumecheng-5297	44	45	2	2	NUM
fumecheng-5297	44	46	)	)	PUNCT
fumecheng-5297	44	47	(	(	PUNCT
fumecheng-5297	44	48	1	1	X
fumecheng-5297	44	49	)	)	PUNCT
fumecheng-5297	44	50	(	(	PUNCT
fumecheng-5297	44	51	2	2	NUM
fumecheng-5297	44	52	)	)	PUNCT
fumecheng-5297	44	53	(	(	PUNCT
fumecheng-5297	44	54	1	1	X
fumecheng-5297	44	55	)	)	PUNCT
fumecheng-5297	44	56	(	(	PUNCT
fumecheng-5297	44	57	2	2	NUM
fumecheng-5297	44	58	)	)	PUNCT
fumecheng-5297	44	59	(	(	PUNCT
fumecheng-5297	44	60	1	1	X
fumecheng-5297	44	61	)	)	PUNCT
fumecheng-5297	44	62	(	(	PUNCT
fumecheng-5297	44	63	2	2	NUM
fumecheng-5297	44	64	)	)	PUNCT
fumecheng-5297	44	65	(	(	PUNCT
fumecheng-5297	44	66	1	1	X
fumecheng-5297	44	67	)	)	PUNCT
fumecheng-5297	44	68	(	(	PUNCT
fumecheng-5297	44	69	2	2	NUM
fumecheng-5297	44	70	)	)	PUNCT
fumecheng-5297	44	71	(	(	PUNCT
fumecheng-5297	44	72	1	1	X
fumecheng-5297	44	73	)	)	PUNCT
fumecheng-5297	44	74	(	(	PUNCT
fumecheng-5297	44	75	2	2	NUM
fumecheng-5297	44	76	)	)	PUNCT
fumecheng-5297	44	77	,	,	PUNCT
fumecheng-5297	44	78	,	,	PUNCT
fumecheng-5297	44	79	,	,	PUNCT
fumecheng-5297	44	80	,	,	PUNCT
fumecheng-5297	44	81	,	,	PUNCT
fumecheng-5297	44	82	z	z	NOUN
fumecheng-5297	44	83	z	z	NOUN
fumecheng-5297	44	84	rz	rz	NOUN
fumecheng-5297	44	85	rz	rz	NOUN
fumecheng-5297	45	1	z	z	PROPN
fumecheng-5297	45	2	z	z	NOUN
fumecheng-5297	45	3	r	r	NOUN
fumecheng-5297	45	4	rw	rw	NOUN
fumecheng-5297	45	5	w	w	PROPN
fumecheng-5297	45	6	u	u	PROPN
fumecheng-5297	45	7	u	u	X
fumecheng-5297	45	8	u	u	X
fumecheng-5297	45	9	u	u	NOUN
fumecheng-5297	45	10			X
fumecheng-5297	45	11			X
fumecheng-5297	45	12			PROPN
fumecheng-5297	45	13			X
fumecheng-5297	45	14			X
fumecheng-5297	46	1			X
fumecheng-5297	46	2			NOUN
fumecheng-5297	46	3			NOUN
fumecheng-5297	46	4			NOUN
fumecheng-5297	46	5			VERB
fumecheng-5297	46	6			NUM
fumecheng-5297	46	7			ADJ
fumecheng-5297	47	1			NOUN
fumecheng-5297	48	1			PRON
fumecheng-5297	48	2			NOUN
fumecheng-5297	48	3	(	(	PUNCT
fumecheng-5297	48	4	3	3	NUM
fumecheng-5297	48	5	)	)	PUNCT
fumecheng-5297	48	6	in	in	ADP
fumecheng-5297	48	7	eqs	eqs	PROPN
fumecheng-5297	48	8	.	.	PUNCT
fumecheng-5297	49	1	(	(	PUNCT
fumecheng-5297	49	2	2	2	NUM
fumecheng-5297	49	3	)	)	PUNCT
fumecheng-5297	49	4	and	and	CCONJ
fumecheng-5297	49	5	(	(	PUNCT
fumecheng-5297	49	6	3	3	X
fumecheng-5297	49	7	)	)	PUNCT
fumecheng-5297	49	8	(	(	PUNCT
fumecheng-5297	49	9	)	)	PUNCT
fumecheng-5297	49	10	(	(	PUNCT
fumecheng-5297	49	11	)	)	PUNCT
fumecheng-5297	49	12	(	(	PUNCT
fumecheng-5297	49	13	)	)	PUNCT
fumecheng-5297	49	14	,	,	PUNCT
fumecheng-5297	49	15	,	,	PUNCT
fumecheng-5297	49	16	j	j	PROPN
fumecheng-5297	49	17	z	z	PROPN
fumecheng-5297	49	18	j	j	PROPN
fumecheng-5297	49	19	j	j	PROPN
fumecheng-5297	49	20	rz	rz	PROPN
fumecheng-5297	49	21	z	z	PROPN
fumecheng-5297	49	22			NOUN
fumecheng-5297	49	23			NOUN
fumecheng-5297	49	24	are	be	AUX
fumecheng-5297	49	25	normal	normal	ADJ
fumecheng-5297	49	26	and	and	CCONJ
fumecheng-5297	49	27	shear	shear	NOUN
fumecheng-5297	49	28	stresses	stress	NOUN
fumecheng-5297	49	29	,	,	PUNCT
fumecheng-5297	49	30	and	and	CCONJ
fumecheng-5297	49	31	(	(	PUNCT
fumecheng-5297	49	32	)	)	PUNCT
fumecheng-5297	49	33	(	(	PUNCT
fumecheng-5297	49	34	)	)	PUNCT
fumecheng-5297	49	35	(	(	PUNCT
fumecheng-5297	49	36	)	)	PUNCT
fumecheng-5297	49	37	,	,	PUNCT
fumecheng-5297	49	38	,	,	PUNCT
fumecheng-5297	49	39	j	j	PROPN
fumecheng-5297	49	40	j	j	PROPN
fumecheng-5297	49	41	j	j	PROPN
fumecheng-5297	49	42	rw	rw	PROPN
fumecheng-5297	49	43	u	u	PROPN
fumecheng-5297	49	44	u	u	PROPN
fumecheng-5297	49	45	are	be	AUX
fumecheng-5297	49	46	normal	normal	ADJ
fumecheng-5297	49	47	and	and	CCONJ
fumecheng-5297	49	48	tangential	tangential	ADJ
fumecheng-5297	49	49	displacements	displacement	NOUN
fumecheng-5297	49	50	(	(	PUNCT
fumecheng-5297	49	51	j=1	j=1	PROPN
fumecheng-5297	49	52	for	for	ADP
fumecheng-5297	49	53	the	the	DET
fumecheng-5297	49	54	coating	coating	NOUN
fumecheng-5297	49	55	,	,	PUNCT
fumecheng-5297	49	56	j=2	j=2	PROPN
fumecheng-5297	49	57	for	for	ADP
fumecheng-5297	49	58	the	the	DET
fumecheng-5297	49	59	substrate	substrate	NOUN
fumecheng-5297	49	60	)	)	PUNCT
fumecheng-5297	49	61	.	.	PUNCT
fumecheng-5297	50	1	contact	contact	NOUN
fumecheng-5297	50	2	zones	zone	NOUN
fumecheng-5297	50	3	im	im	VERB
fumecheng-5297	50	4	under	under	ADP
fumecheng-5297	50	5	the	the	DET
fumecheng-5297	50	6	asperities	asperity	NOUN
fumecheng-5297	50	7	are	be	AUX
fumecheng-5297	50	8	initially	initially	ADV
fumecheng-5297	50	9	unknown	unknown	ADJ
fumecheng-5297	50	10	.	.	PUNCT
fumecheng-5297	51	1	note	note	VERB
fumecheng-5297	51	2	,	,	PUNCT
fumecheng-5297	51	3	that	that	SCONJ
fumecheng-5297	51	4	instead	instead	ADV
fumecheng-5297	51	5	of	of	ADP
fumecheng-5297	51	6	the	the	DET
fumecheng-5297	51	7	conditions	condition	NOUN
fumecheng-5297	51	8	of	of	ADP
fumecheng-5297	51	9	perfect	perfect	ADJ
fumecheng-5297	51	10	adhesion	adhesion	NOUN
fumecheng-5297	51	11	at	at	ADP
fumecheng-5297	51	12	the	the	DET
fumecheng-5297	51	13	interface	interface	NOUN
fumecheng-5297	51	14	,	,	PUNCT
fumecheng-5297	51	15	the	the	DET
fumecheng-5297	51	16	conditions	condition	NOUN
fumecheng-5297	51	17	of	of	ADP
fumecheng-5297	51	18	complete	complete	ADJ
fumecheng-5297	51	19	or	or	CCONJ
fumecheng-5297	51	20	incomplete	incomplete	ADJ
fumecheng-5297	51	21	sliding	sliding	NOUN
fumecheng-5297	51	22	can	can	AUX
fumecheng-5297	51	23	be	be	AUX
fumecheng-5297	51	24	considered	consider	VERB
fumecheng-5297	51	25	using	use	VERB
fumecheng-5297	51	26	the	the	DET
fumecheng-5297	51	27	approach	approach	NOUN
fumecheng-5297	51	28	developed	develop	VERB
fumecheng-5297	51	29	in	in	ADP
fumecheng-5297	51	30	[	[	X
fumecheng-5297	51	31	10	10	NUM
fumecheng-5297	51	32	,	,	PUNCT
fumecheng-5297	51	33	11	11	NUM
fumecheng-5297	51	34	]	]	PUNCT
fumecheng-5297	51	35	.	.	PUNCT
fumecheng-5297	52	1	using	use	VERB
fumecheng-5297	52	2	the	the	DET
fumecheng-5297	52	3	localization	localization	NOUN
fumecheng-5297	52	4	principle	principle	NOUN
fumecheng-5297	52	5	[	[	X
fumecheng-5297	52	6	2	2	NUM
fumecheng-5297	52	7	]	]	PUNCT
fumecheng-5297	52	8	,	,	PUNCT
fumecheng-5297	52	9	we	we	PRON
fumecheng-5297	52	10	take	take	VERB
fumecheng-5297	52	11	into	into	ADP
fumecheng-5297	52	12	account	account	NOUN
fumecheng-5297	52	13	the	the	DET
fumecheng-5297	52	14	real	real	ADJ
fumecheng-5297	52	15	pressure	pressure	NOUN
fumecheng-5297	52	16	distribution	distribution	NOUN
fumecheng-5297	52	17	only	only	ADV
fumecheng-5297	52	18	at	at	ADP
fumecheng-5297	52	19	the	the	DET
fumecheng-5297	52	20	fixed	fix	VERB
fumecheng-5297	52	21	number	number	NOUN
fumecheng-5297	52	22	of	of	ADP
fumecheng-5297	52	23	asperities	asperity	NOUN
fumecheng-5297	52	24	inside	inside	ADP
fumecheng-5297	52	25	the	the	DET
fumecheng-5297	52	26	circle	circle	NOUN
fumecheng-5297	52	27	of	of	ADP
fumecheng-5297	52	28	radius	radius	NOUN
fumecheng-5297	52	29	r1	r1	PROPN
fumecheng-5297	52	30	(	(	PUNCT
fumecheng-5297	52	31	1r	1r	NUM
fumecheng-5297	52	32	r	r	NOUN
fumecheng-5297	52	33	)	)	PUNCT
fumecheng-5297	52	34	,	,	PUNCT
fumecheng-5297	52	35	which	which	PRON
fumecheng-5297	52	36	includes	include	VERB
fumecheng-5297	52	37	a	a	DET
fumecheng-5297	52	38	definite	definite	ADJ
fumecheng-5297	52	39	number	number	NOUN
fumecheng-5297	52	40	of	of	ADP
fumecheng-5297	52	41	asperities	asperity	NOUN
fumecheng-5297	52	42	of	of	ADP
fumecheng-5297	52	43	all	all	DET
fumecheng-5297	52	44	k	k	PROPN
fumecheng-5297	52	45	levels	level	NOUN
fumecheng-5297	52	46	.	.	PUNCT
fumecheng-5297	53	1	for	for	ADP
fumecheng-5297	53	2	known	know	VERB
fumecheng-5297	53	3	densities	density	NOUN
fumecheng-5297	53	4	cq	cq	NOUN
fumecheng-5297	53	5	of	of	ADP
fumecheng-5297	53	6	the	the	DET
fumecheng-5297	53	7	asperities	asperity	NOUN
fumecheng-5297	53	8	distributions	distribution	NOUN
fumecheng-5297	53	9	for	for	ADP
fumecheng-5297	53	10	each	each	DET
fumecheng-5297	53	11	level	level	NOUN
fumecheng-5297	53	12	(	(	PUNCT
fumecheng-5297	53	13	c=1,2	c=1,2	ADJ
fumecheng-5297	53	14	…	…	SYM
fumecheng-5297	53	15	,k	,k	PUNCT
fumecheng-5297	53	16	)	)	PUNCT
fumecheng-5297	53	17	radius	radius	NOUN
fumecheng-5297	53	18	r1	r1	PROPN
fumecheng-5297	53	19	is	be	AUX
fumecheng-5297	53	20	calculated	calculate	VERB
fumecheng-5297	53	21	from	from	ADP
fumecheng-5297	53	22	the	the	DET
fumecheng-5297	53	23	relation	relation	NOUN
fumecheng-5297	53	24	(	(	PUNCT
fumecheng-5297	53	25	for	for	ADP
fumecheng-5297	53	26	k=1	k=1	NOUN
fumecheng-5297	53	27	)	)	PUNCT
fumecheng-5297	53	28	2	2	NUM
fumecheng-5297	53	29	1	1	NUM
fumecheng-5297	53	30	1	1	NUM
fumecheng-5297	53	31	1k	1k	NUM
fumecheng-5297	53	32	c	c	NOUN
fumecheng-5297	53	33	k	k	PROPN
fumecheng-5297	54	1	c	c	NOUN
fumecheng-5297	54	2	c	c	PROPN
fumecheng-5297	54	3	k	k	NOUN
fumecheng-5297	54	4	r	r	NOUN
fumecheng-5297	54	5	q	q	X
fumecheng-5297	54	6	q	q	NOUN
fumecheng-5297	54	7			NUM
fumecheng-5297	54	8			PROPN
fumecheng-5297	54	9			PROPN
fumecheng-5297	54	10			NOUN
fumecheng-5297	54	11			NOUN
fumecheng-5297	54	12			PROPN
fumecheng-5297	54	13			PROPN
fumecheng-5297	54	14			CCONJ
fumecheng-5297	54	15			PROPN
fumecheng-5297	54	16			NOUN
fumecheng-5297	54	17			X
fumecheng-5297	54	18	(	(	PUNCT
fumecheng-5297	54	19	4	4	X
fumecheng-5297	54	20	)	)	PUNCT
fumecheng-5297	54	21	here	here	ADV
fumecheng-5297	54	22	cq	cq	INTJ
fumecheng-5297	54	23	is	be	AUX
fumecheng-5297	54	24	the	the	DET
fumecheng-5297	54	25	density	density	NOUN
fumecheng-5297	54	26	of	of	ADP
fumecheng-5297	54	27	indenters	indenter	NOUN
fumecheng-5297	54	28	of	of	ADP
fumecheng-5297	54	29	level	level	NOUN
fumecheng-5297	54	30	n	n	CCONJ
fumecheng-5297	54	31	,	,	PUNCT
fumecheng-5297	54	32	c	c	X
fumecheng-5297	54	33	is	be	AUX
fumecheng-5297	54	34	the	the	DET
fumecheng-5297	54	35	number	number	NOUN
fumecheng-5297	54	36	of	of	ADP
fumecheng-5297	54	37	indenters	indenter	NOUN
fumecheng-5297	54	38	of	of	ADP
fumecheng-5297	54	39	level	level	NOUN
fumecheng-5297	54	40	c	c	NOUN
fumecheng-5297	54	41	inside	inside	ADP
fumecheng-5297	54	42	the	the	DET
fumecheng-5297	54	43	circle	circle	NOUN
fumecheng-5297	54	44	.	.	PUNCT
fumecheng-5297	55	1	action	action	NOUN
fumecheng-5297	55	2	of	of	ADP
fumecheng-5297	55	3	indenters	indenter	NOUN
fumecheng-5297	55	4	outside	outside	ADP
fumecheng-5297	55	5	the	the	DET
fumecheng-5297	55	6	circle	circle	NOUN
fumecheng-5297	55	7	is	be	AUX
fumecheng-5297	55	8	replaced	replace	VERB
fumecheng-5297	55	9	by	by	ADP
fumecheng-5297	55	10	constant	constant	ADJ
fumecheng-5297	55	11	average	average	ADJ
fumecheng-5297	55	12	pressure	pressure	NOUN
fumecheng-5297	55	13	p	p	NOUN
fumecheng-5297	55	14	.	.	PUNCT
fumecheng-5297	56	1	inside	inside	ADP
fumecheng-5297	56	2	the	the	DET
fumecheng-5297	56	3	circle	circle	NOUN
fumecheng-5297	56	4	unknown	unknown	ADJ
fumecheng-5297	56	5	contact	contact	NOUN
fumecheng-5297	56	6	pressure	pressure	NOUN
fumecheng-5297	56	7	distributions	distribution	NOUN
fumecheng-5297	56	8	pc(r,	pc(r,	ADJ
fumecheng-5297	56	9	)	)	PUNCT
fumecheng-5297	56	10	act	act	NOUN
fumecheng-5297	56	11	within	within	ADP
fumecheng-5297	56	12	the	the	DET
fumecheng-5297	56	13	152	152	NUM
fumecheng-5297	56	14	i.	i.	PROPN
fumecheng-5297	56	15	goryacheva	goryacheva	PROPN
fumecheng-5297	56	16	,	,	PUNCT
fumecheng-5297	56	17	e.	e.	PROPN
fumecheng-5297	56	18	torskaya	torskaya	PROPN
fumecheng-5297	56	19	contact	contact	NOUN
fumecheng-5297	56	20	spots	spot	NOUN
fumecheng-5297	56	21	under	under	ADP
fumecheng-5297	56	22	each	each	DET
fumecheng-5297	56	23	indenter	indenter	NOUN
fumecheng-5297	57	1	(	(	PUNCT
fumecheng-5297	57	2	here	here	ADV
fumecheng-5297	57	3	(	(	PUNCT
fumecheng-5297	57	4	r,	r,	ADV
fumecheng-5297	57	5	)	)	PUNCT
fumecheng-5297	57	6	are	be	AUX
fumecheng-5297	57	7	the	the	DET
fumecheng-5297	57	8	polar	polar	ADJ
fumecheng-5297	57	9	coordinates	coordinate	NOUN
fumecheng-5297	57	10	related	relate	VERB
fumecheng-5297	57	11	to	to	ADP
fumecheng-5297	57	12	the	the	DET
fumecheng-5297	57	13	center	center	NOUN
fumecheng-5297	57	14	of	of	ADP
fumecheng-5297	57	15	the	the	DET
fumecheng-5297	57	16	c	c	NOUN
fumecheng-5297	57	17	-	-	PUNCT
fumecheng-5297	57	18	th	th	VERB
fumecheng-5297	57	19	indenter	indenter	NOUN
fumecheng-5297	57	20	)	)	PUNCT
fumecheng-5297	57	21	.	.	PUNCT
fumecheng-5297	58	1	to	to	PART
fumecheng-5297	58	2	satisfy	satisfy	VERB
fumecheng-5297	58	3	the	the	DET
fumecheng-5297	58	4	equilibrium	equilibrium	NOUN
fumecheng-5297	58	5	condition	condition	NOUN
fumecheng-5297	58	6	we	we	PRON
fumecheng-5297	58	7	use	use	VERB
fumecheng-5297	58	8	the	the	DET
fumecheng-5297	58	9	following	follow	VERB
fumecheng-5297	58	10	relation	relation	NOUN
fumecheng-5297	58	11	:	:	PUNCT
fumecheng-5297	58	12	1	1	NUM
fumecheng-5297	58	13	(	(	PUNCT
fumecheng-5297	58	14	,	,	PUNCT
fumecheng-5297	58	15	)	)	PUNCT
fumecheng-5297	58	16	n	n	CCONJ
fumecheng-5297	58	17	k	k	PROPN
fumecheng-5297	58	18	n	n	CCONJ
fumecheng-5297	58	19	n	n	CCONJ
fumecheng-5297	58	20	n	n	ADV
fumecheng-5297	58	21	p	p	NOUN
fumecheng-5297	58	22	q	q	X
fumecheng-5297	58	23	p	p	NOUN
fumecheng-5297	58	24	r	r	NOUN
fumecheng-5297	58	25	drd	drd	NOUN
fumecheng-5297	58	26			X
fumecheng-5297	58	27			PROPN
fumecheng-5297	58	28			PROPN
fumecheng-5297	58	29			NUM
fumecheng-5297	58	30			PROPN
fumecheng-5297	58	31			X
fumecheng-5297	58	32	(	(	PUNCT
fumecheng-5297	58	33	5	5	X
fumecheng-5297	58	34	)	)	PUNCT
fumecheng-5297	58	35	note	note	NOUN
fumecheng-5297	58	36	that	that	SCONJ
fumecheng-5297	58	37	due	due	ADP
fumecheng-5297	58	38	to	to	ADP
fumecheng-5297	58	39	the	the	DET
fumecheng-5297	58	40	mutual	mutual	ADJ
fumecheng-5297	58	41	effect	effect	NOUN
fumecheng-5297	58	42	the	the	DET
fumecheng-5297	58	43	asymmetric	asymmetric	ADJ
fumecheng-5297	58	44	contact	contact	NOUN
fumecheng-5297	58	45	pressure	pressure	NOUN
fumecheng-5297	58	46	distribution	distribution	NOUN
fumecheng-5297	58	47	under	under	ADP
fumecheng-5297	58	48	the	the	DET
fumecheng-5297	58	49	axisymmetric	axisymmetric	ADJ
fumecheng-5297	58	50	indenter	indenter	NOUN
fumecheng-5297	58	51	occurs	occur	VERB
fumecheng-5297	58	52	,	,	PUNCT
fumecheng-5297	58	53	and	and	CCONJ
fumecheng-5297	58	54	we	we	PRON
fumecheng-5297	58	55	take	take	VERB
fumecheng-5297	58	56	into	into	ADP
fumecheng-5297	58	57	account	account	NOUN
fumecheng-5297	58	58	this	this	DET
fumecheng-5297	58	59	effect	effect	NOUN
fumecheng-5297	58	60	in	in	ADP
fumecheng-5297	58	61	contact	contact	NOUN
fumecheng-5297	58	62	problem	problem	NOUN
fumecheng-5297	58	63	formulation	formulation	NOUN
fumecheng-5297	58	64	and	and	CCONJ
fumecheng-5297	58	65	solution	solution	NOUN
fumecheng-5297	58	66	.	.	PUNCT
fumecheng-5297	59	1	the	the	DET
fumecheng-5297	59	2	boundary	boundary	ADJ
fumecheng-5297	59	3	element	element	NOUN
fumecheng-5297	59	4	method	method	NOUN
fumecheng-5297	59	5	together	together	ADV
fumecheng-5297	59	6	with	with	ADP
fumecheng-5297	59	7	the	the	DET
fumecheng-5297	59	8	iterative	iterative	NOUN
fumecheng-5297	59	9	procedure	procedure	NOUN
fumecheng-5297	59	10	is	be	AUX
fumecheng-5297	59	11	used	use	VERB
fumecheng-5297	59	12	to	to	PART
fumecheng-5297	59	13	solve	solve	VERB
fumecheng-5297	59	14	the	the	DET
fumecheng-5297	59	15	contact	contact	NOUN
fumecheng-5297	59	16	problem	problem	NOUN
fumecheng-5297	59	17	with	with	ADP
fumecheng-5297	59	18	unknown	unknown	ADJ
fumecheng-5297	59	19	contact	contact	NOUN
fumecheng-5297	59	20	regions	region	NOUN
fumecheng-5297	59	21	.	.	PUNCT
fumecheng-5297	60	1	contact	contact	NOUN
fumecheng-5297	60	2	pressure	pressure	NOUN
fumecheng-5297	60	3	is	be	AUX
fumecheng-5297	60	4	presented	present	VERB
fumecheng-5297	60	5	as	as	ADP
fumecheng-5297	60	6	a	a	DET
fumecheng-5297	60	7	stepwise	stepwise	ADJ
fumecheng-5297	60	8	function	function	NOUN
fumecheng-5297	60	9	being	be	AUX
fumecheng-5297	60	10	constant	constant	ADJ
fumecheng-5297	60	11	inside	inside	ADP
fumecheng-5297	60	12	each	each	DET
fumecheng-5297	60	13	element	element	NOUN
fumecheng-5297	60	14	.	.	PUNCT
fumecheng-5297	61	1	we	we	PRON
fumecheng-5297	61	2	choose	choose	VERB
fumecheng-5297	61	3	the	the	DET
fumecheng-5297	61	4	size	size	NOUN
fumecheng-5297	61	5	of	of	ADP
fumecheng-5297	61	6	a	a	DET
fumecheng-5297	61	7	square	square	ADJ
fumecheng-5297	61	8	element	element	NOUN
fumecheng-5297	61	9	so	so	SCONJ
fumecheng-5297	61	10	that	that	SCONJ
fumecheng-5297	61	11	their	their	PRON
fumecheng-5297	61	12	number	number	NOUN
fumecheng-5297	61	13	inside	inside	ADP
fumecheng-5297	61	14	a	a	DET
fumecheng-5297	61	15	contact	contact	NOUN
fumecheng-5297	61	16	region	region	NOUN
fumecheng-5297	61	17	is	be	AUX
fumecheng-5297	61	18	large	large	ADJ
fumecheng-5297	61	19	enough	enough	ADV
fumecheng-5297	61	20	to	to	PART
fumecheng-5297	61	21	provide	provide	VERB
fumecheng-5297	61	22	convergence	convergence	NOUN
fumecheng-5297	61	23	of	of	ADP
fumecheng-5297	61	24	the	the	DET
fumecheng-5297	61	25	iterative	iterative	NOUN
fumecheng-5297	61	26	procedure	procedure	NOUN
fumecheng-5297	61	27	.	.	PUNCT
fumecheng-5297	62	1	2.2	2.2	NUM
fumecheng-5297	62	2	.	.	PUNCT
fumecheng-5297	62	3	calculation	calculation	NOUN
fumecheng-5297	62	4	of	of	ADP
fumecheng-5297	62	5	influence	influence	NOUN
fumecheng-5297	62	6	coefficients	coefficient	NOUN
fumecheng-5297	62	7	for	for	ADP
fumecheng-5297	62	8	the	the	DET
fumecheng-5297	62	9	boundary	boundary	ADJ
fumecheng-5297	62	10	element	element	NOUN
fumecheng-5297	62	11	method	method	NOUN
fumecheng-5297	62	12	to	to	PART
fumecheng-5297	62	13	use	use	VERB
fumecheng-5297	62	14	the	the	DET
fumecheng-5297	62	15	boundary	boundary	ADJ
fumecheng-5297	62	16	element	element	NOUN
fumecheng-5297	62	17	method	method	NOUN
fumecheng-5297	62	18	,	,	PUNCT
fumecheng-5297	62	19	the	the	DET
fumecheng-5297	62	20	displacement	displacement	NOUN
fumecheng-5297	62	21	of	of	ADP
fumecheng-5297	62	22	the	the	DET
fumecheng-5297	62	23	two	two	NUM
fumecheng-5297	62	24	-	-	PUNCT
fumecheng-5297	62	25	layered	layer	VERB
fumecheng-5297	62	26	elastic	elastic	ADJ
fumecheng-5297	62	27	halfspace	halfspace	NOUN
fumecheng-5297	62	28	surface	surface	NOUN
fumecheng-5297	62	29	loaded	load	VERB
fumecheng-5297	62	30	by	by	ADP
fumecheng-5297	62	31	a	a	DET
fumecheng-5297	62	32	pressure	pressure	NOUN
fumecheng-5297	62	33	q	q	NOUN
fumecheng-5297	62	34	,	,	PUNCT
fumecheng-5297	62	35	uniformly	uniformly	ADV
fumecheng-5297	62	36	distributed	distribute	VERB
fumecheng-5297	62	37	inside	inside	ADP
fumecheng-5297	62	38	a	a	DET
fumecheng-5297	62	39	square	square	ADJ
fumecheng-5297	62	40	2a2a	2a2a	NUM
fumecheng-5297	62	41	,	,	PUNCT
fumecheng-5297	62	42	must	must	AUX
fumecheng-5297	62	43	be	be	AUX
fumecheng-5297	62	44	calculated	calculate	VERB
fumecheng-5297	62	45	from	from	ADP
fumecheng-5297	62	46	the	the	DET
fumecheng-5297	62	47	following	follow	VERB
fumecheng-5297	62	48	boundary	boundary	ADJ
fumecheng-5297	62	49	conditions	condition	NOUN
fumecheng-5297	62	50	at	at	ADP
fumecheng-5297	62	51	the	the	DET
fumecheng-5297	62	52	layer	layer	NOUN
fumecheng-5297	62	53	surface	surface	NOUN
fumecheng-5297	62	54	(	(	PUNCT
fumecheng-5297	62	55	z=0	z=0	PROPN
fumecheng-5297	62	56	):	):	PUNCT
fumecheng-5297	62	57	,	,	PUNCT
fumecheng-5297	62	58	|	|	ADV
fumecheng-5297	63	1	|	|	ADV
fumecheng-5297	63	2	,	,	PUNCT
fumecheng-5297	63	3	|	|	ADV
fumecheng-5297	63	4	|	|	ADV
fumecheng-5297	63	5	0	0	NUM
fumecheng-5297	63	6	,	,	PUNCT
fumecheng-5297	63	7	|	|	ADV
fumecheng-5297	63	8	|	|	ADV
fumecheng-5297	63	9	,	,	PUNCT
fumecheng-5297	63	10	|	|	ADV
fumecheng-5297	63	11	|	|	ADV
fumecheng-5297	63	12	0	0	NUM
fumecheng-5297	63	13	,	,	PUNCT
fumecheng-5297	63	14	0	0	NUM
fumecheng-5297	64	1	z	z	NOUN
fumecheng-5297	64	2	z	z	NOUN
fumecheng-5297	65	1	xz	xz	PROPN
fumecheng-5297	66	1	yx	yx	INTJ
fumecheng-5297	66	2	q	q	PROPN
fumecheng-5297	67	1	x	x	X
fumecheng-5297	67	2	a	a	DET
fumecheng-5297	67	3	y	y	PROPN
fumecheng-5297	67	4	a	a	X
fumecheng-5297	67	5	x	x	X
fumecheng-5297	67	6	a	a	DET
fumecheng-5297	67	7	y	y	PROPN
fumecheng-5297	67	8	a	a	DET
fumecheng-5297	67	9			PROPN
fumecheng-5297	67	10			NOUN
fumecheng-5297	67	11			NOUN
fumecheng-5297	67	12			NOUN
fumecheng-5297	67	13			PROPN
fumecheng-5297	67	14			PROPN
fumecheng-5297	67	15			NOUN
fumecheng-5297	67	16			NOUN
fumecheng-5297	68	1			PRON
fumecheng-5297	68	2			INTJ
fumecheng-5297	68	3			INTJ
fumecheng-5297	69	1			PROPN
fumecheng-5297	69	2			PROPN
fumecheng-5297	69	3	(	(	PUNCT
fumecheng-5297	69	4	6	6	NUM
fumecheng-5297	69	5	)	)	PUNCT
fumecheng-5297	69	6	in	in	ADP
fumecheng-5297	69	7	the	the	DET
fumecheng-5297	69	8	case	case	NOUN
fumecheng-5297	69	9	of	of	ADP
fumecheng-5297	69	10	two	two	NUM
fumecheng-5297	69	11	-	-	PUNCT
fumecheng-5297	69	12	layered	layer	VERB
fumecheng-5297	69	13	elastic	elastic	ADJ
fumecheng-5297	69	14	half	half	ADJ
fumecheng-5297	69	15	-	-	PUNCT
fumecheng-5297	69	16	space	space	NOUN
fumecheng-5297	69	17	stresses	stress	NOUN
fumecheng-5297	69	18	and	and	CCONJ
fumecheng-5297	69	19	displacements	displacement	NOUN
fumecheng-5297	69	20	of	of	ADP
fumecheng-5297	69	21	the	the	DET
fumecheng-5297	69	22	layer	layer	NOUN
fumecheng-5297	69	23	surface	surface	NOUN
fumecheng-5297	69	24	can	can	AUX
fumecheng-5297	69	25	be	be	AUX
fumecheng-5297	69	26	calculated	calculate	VERB
fumecheng-5297	69	27	by	by	ADP
fumecheng-5297	69	28	using	use	VERB
fumecheng-5297	69	29	the	the	DET
fumecheng-5297	69	30	method	method	NOUN
fumecheng-5297	69	31	based	base	VERB
fumecheng-5297	69	32	on	on	ADP
fumecheng-5297	69	33	double	double	ADJ
fumecheng-5297	69	34	fourier	fourier	NOUN
fumecheng-5297	69	35	transforms	transform	VERB
fumecheng-5297	69	36	.	.	PUNCT
fumecheng-5297	70	1	in	in	ADP
fumecheng-5297	70	2	particular	particular	ADJ
fumecheng-5297	70	3	,	,	PUNCT
fumecheng-5297	70	4	normal	normal	ADJ
fumecheng-5297	70	5	displacements	displacement	NOUN
fumecheng-5297	70	6	of	of	ADP
fumecheng-5297	70	7	the	the	DET
fumecheng-5297	70	8	surface	surface	NOUN
fumecheng-5297	70	9	are	be	AUX
fumecheng-5297	70	10	determined	determine	VERB
fumecheng-5297	70	11	by	by	ADP
fumecheng-5297	70	12	the	the	DET
fumecheng-5297	70	13	following	follow	VERB
fumecheng-5297	70	14	relation	relation	NOUN
fumecheng-5297	71	1	[	[	X
fumecheng-5297	71	2	11	11	NUM
fumecheng-5297	71	3	]	]	PUNCT
fumecheng-5297	71	4	:	:	PUNCT
fumecheng-5297	71	5	/2	/2	PROPN
fumecheng-5297	71	6	1	1	NUM
fumecheng-5297	71	7	0	0	NUM
fumecheng-5297	71	8	0	0	NUM
fumecheng-5297	71	9	'	'	PRON
fumecheng-5297	71	10	(	(	PUNCT
fumecheng-5297	71	11	'	'	PUNCT
fumecheng-5297	71	12	,	,	PUNCT
fumecheng-5297	71	13	'	'	PUNCT
fumecheng-5297	71	14	,	,	PUNCT
fumecheng-5297	71	15	0	0	NUM
fumecheng-5297	71	16	)	)	PUNCT
fumecheng-5297	71	17	(	(	PUNCT
fumecheng-5297	71	18	,	,	PUNCT
fumecheng-5297	71	19	,	,	PUNCT
fumecheng-5297	71	20	,	,	PUNCT
fumecheng-5297	71	21	)	)	PUNCT
fumecheng-5297	71	22	cos	cos	PROPN
fumecheng-5297	71	23	(	(	PUNCT
fumecheng-5297	71	24	'	'	PUNCT
fumecheng-5297	71	25	cos	cos	PROPN
fumecheng-5297	71	26	)	)	PUNCT
fumecheng-5297	71	27	cos	cos	PROPN
fumecheng-5297	71	28	(	(	PUNCT
fumecheng-5297	71	29	'	'	PUNCT
fumecheng-5297	71	30	sin	sin	NOUN
fumecheng-5297	71	31	)	)	PUNCT
fumecheng-5297	71	32	2	2	NUM
fumecheng-5297	71	33	q	q	NOUN
fumecheng-5297	71	34	w	w	NOUN
fumecheng-5297	71	35	x	x	PUNCT
fumecheng-5297	71	36	y	y	NOUN
fumecheng-5297	71	37	x	x	PUNCT
fumecheng-5297	71	38	y	y	PROPN
fumecheng-5297	72	1	d	d	PROPN
fumecheng-5297	72	2	d	d	X
fumecheng-5297	72	3	g	g	PROPN
fumecheng-5297	72	4			PROPN
fumecheng-5297	72	5			NUM
fumecheng-5297	72	6			ADJ
fumecheng-5297	72	7			ADJ
fumecheng-5297	72	8			NOUN
fumecheng-5297	72	9			PUNCT
fumecheng-5297	72	10			PROPN
fumecheng-5297	72	11			NUM
fumecheng-5297	72	12			PROPN
fumecheng-5297	72	13			NUM
fumecheng-5297	72	14			PROPN
fumecheng-5297	72	15			PROPN
fumecheng-5297	72	16			PROPN
fumecheng-5297	72	17			NOUN
fumecheng-5297	72	18			PROPN
fumecheng-5297	72	19			X
fumecheng-5297	72	20	(	(	PUNCT
fumecheng-5297	72	21	7	7	X
fumecheng-5297	72	22	)	)	PUNCT
fumecheng-5297	72	23	here	here	ADV
fumecheng-5297	72	24	x	x	PROPN
fumecheng-5297	72	25	,	,	PUNCT
fumecheng-5297	72	26	y	y	PRON
fumecheng-5297	72	27	and	and	CCONJ
fumecheng-5297	72	28	w	w	NOUN
fumecheng-5297	72	29	are	be	AUX
fumecheng-5297	72	30	dimensionless	dimensionless	ADJ
fumecheng-5297	72	31	coordinates	coordinate	NOUN
fumecheng-5297	72	32	and	and	CCONJ
fumecheng-5297	72	33	normal	normal	ADJ
fumecheng-5297	72	34	displacement	displacement	NOUN
fumecheng-5297	72	35	,	,	PUNCT
fumecheng-5297	72	36	respectively	respectively	ADV
fumecheng-5297	72	37	,	,	PUNCT
fumecheng-5297	72	38	g1	g1	PROPN
fumecheng-5297	72	39	is	be	AUX
fumecheng-5297	72	40	the	the	DET
fumecheng-5297	72	41	shear	shear	NOUN
fumecheng-5297	72	42	modulus	modulus	NOUN
fumecheng-5297	72	43	of	of	ADP
fumecheng-5297	72	44	the	the	DET
fumecheng-5297	72	45	layer	layer	NOUN
fumecheng-5297	72	46	,	,	PUNCT
fumecheng-5297	72	47	=e1(1+2)/e2(1+1	=e1(1+2)/e2(1+1	PROPN
fumecheng-5297	72	48	)	)	PUNCT
fumecheng-5297	72	49	is	be	AUX
fumecheng-5297	72	50	the	the	DET
fumecheng-5297	72	51	relation	relation	NOUN
fumecheng-5297	72	52	of	of	ADP
fumecheng-5297	72	53	the	the	DET
fumecheng-5297	72	54	elastic	elastic	ADJ
fumecheng-5297	72	55	modules	module	NOUN
fumecheng-5297	72	56	of	of	ADP
fumecheng-5297	72	57	the	the	DET
fumecheng-5297	72	58	layer	layer	NOUN
fumecheng-5297	72	59	and	and	CCONJ
fumecheng-5297	72	60	the	the	DET
fumecheng-5297	72	61	substrate	substrate	NOUN
fumecheng-5297	72	62	,	,	PUNCT
fumecheng-5297	72	63	,	,	PUNCT
fumecheng-5297	72	64			PROPN
fumecheng-5297	72	65			ADJ
fumecheng-5297	72	66	are	be	AUX
fumecheng-5297	72	67	the	the	DET
fumecheng-5297	72	68	internal	internal	ADJ
fumecheng-5297	72	69	coordinates	coordinate	NOUN
fumecheng-5297	72	70	in	in	ADP
fumecheng-5297	72	71	the	the	DET
fumecheng-5297	72	72	space	space	NOUN
fumecheng-5297	72	73	of	of	ADP
fumecheng-5297	72	74	double	double	ADJ
fumecheng-5297	72	75	fourier	fourier	NOUN
fumecheng-5297	72	76	transforms	transform	VERB
fumecheng-5297	72	77	,	,	PUNCT
fumecheng-5297	72	78	=h	=h	NOUN
fumecheng-5297	72	79	/	/	SYM
fumecheng-5297	72	80	a	a	PRON
fumecheng-5297	72	81	is	be	AUX
fumecheng-5297	72	82	dimensionless	dimensionless	ADJ
fumecheng-5297	72	83	layer	layer	NOUN
fumecheng-5297	72	84	thickness	thickness	NOUN
fumecheng-5297	72	85	.	.	PUNCT
fumecheng-5297	73	1	function	function	NOUN
fumecheng-5297	73	2	(	(	PUNCT
fumecheng-5297	73	3	,	,	PUNCT
fumecheng-5297	73	4	,	,	PUNCT
fumecheng-5297	73	5	,	,	PUNCT
fumecheng-5297	73	6	)	)	PUNCT
fumecheng-5297	73	7			ADP
fumecheng-5297	73	8			PROPN
fumecheng-5297	73	9			X
fumecheng-5297	73	10			NUM
fumecheng-5297	73	11	represents	represent	VERB
fumecheng-5297	73	12	normal	normal	ADJ
fumecheng-5297	73	13	displacements	displacement	NOUN
fumecheng-5297	73	14	in	in	ADP
fumecheng-5297	73	15	the	the	DET
fumecheng-5297	73	16	space	space	NOUN
fumecheng-5297	73	17	of	of	ADP
fumecheng-5297	73	18	double	double	ADJ
fumecheng-5297	73	19	fourier	fourier	NOUN
fumecheng-5297	73	20	transforms	transform	VERB
fumecheng-5297	73	21	.	.	PUNCT
fumecheng-5297	74	1	it	it	PRON
fumecheng-5297	74	2	is	be	AUX
fumecheng-5297	74	3	obtained	obtain	VERB
fumecheng-5297	74	4	from	from	ADP
fumecheng-5297	74	5	the	the	DET
fumecheng-5297	74	6	boundary	boundary	ADJ
fumecheng-5297	74	7	conditions	condition	NOUN
fumecheng-5297	74	8	(	(	PUNCT
fumecheng-5297	74	9	3	3	NUM
fumecheng-5297	74	10	)	)	PUNCT
fumecheng-5297	74	11	and	and	CCONJ
fumecheng-5297	74	12	(	(	PUNCT
fumecheng-5297	74	13	6	6	X
fumecheng-5297	74	14	)	)	PUNCT
fumecheng-5297	74	15	using	use	VERB
fumecheng-5297	74	16	representations	representation	NOUN
fumecheng-5297	74	17	of	of	ADP
fumecheng-5297	74	18	stresses	stress	NOUN
fumecheng-5297	74	19	and	and	CCONJ
fumecheng-5297	74	20	displacements	displacement	NOUN
fumecheng-5297	74	21	by	by	ADP
fumecheng-5297	74	22	a	a	DET
fumecheng-5297	74	23	biharmonic	biharmonic	ADJ
fumecheng-5297	74	24	function	function	NOUN
fumecheng-5297	74	25	and	and	CCONJ
fumecheng-5297	74	26	double	double	ADJ
fumecheng-5297	74	27	fourier	fourier	NOUN
fumecheng-5297	74	28	transforms	transform	VERB
fumecheng-5297	74	29	of	of	ADP
fumecheng-5297	74	30	constant	constant	ADJ
fumecheng-5297	74	31	pressure	pressure	NOUN
fumecheng-5297	74	32	q.	q.	NOUN
fumecheng-5297	74	33	it	it	PRON
fumecheng-5297	74	34	makes	make	VERB
fumecheng-5297	74	35	possible	possible	ADJ
fumecheng-5297	74	36	to	to	PART
fumecheng-5297	74	37	reduce	reduce	VERB
fumecheng-5297	74	38	the	the	DET
fumecheng-5297	74	39	problem	problem	NOUN
fumecheng-5297	74	40	to	to	ADP
fumecheng-5297	74	41	linear	linear	ADJ
fumecheng-5297	74	42	system	system	NOUN
fumecheng-5297	74	43	of	of	ADP
fumecheng-5297	74	44	functional	functional	ADJ
fumecheng-5297	74	45	equations	equation	NOUN
fumecheng-5297	74	46	[	[	X
fumecheng-5297	74	47	11	11	NUM
fumecheng-5297	74	48	]	]	PUNCT
fumecheng-5297	74	49	.	.	PUNCT
fumecheng-5297	75	1	the	the	DET
fumecheng-5297	75	2	solution	solution	NOUN
fumecheng-5297	75	3	of	of	ADP
fumecheng-5297	75	4	the	the	DET
fumecheng-5297	75	5	system	system	NOUN
fumecheng-5297	75	6	provides	provide	VERB
fumecheng-5297	75	7	particularly	particularly	ADV
fumecheng-5297	75	8	the	the	DET
fumecheng-5297	75	9	analytical	analytical	ADJ
fumecheng-5297	75	10	representation	representation	NOUN
fumecheng-5297	75	11	of	of	ADP
fumecheng-5297	75	12	(	(	PUNCT
fumecheng-5297	75	13	,	,	PUNCT
fumecheng-5297	75	14	,	,	PUNCT
fumecheng-5297	75	15	,	,	PUNCT
fumecheng-5297	75	16	)	)	PUNCT
fumecheng-5297	75	17			ADP
fumecheng-5297	75	18			PROPN
fumecheng-5297	75	19			ADJ
fumecheng-5297	75	20			PROPN
fumecheng-5297	75	21	.	.	PUNCT
fumecheng-5297	76	1	as	as	SCONJ
fumecheng-5297	76	2	the	the	DET
fumecheng-5297	76	3	dependence	dependence	NOUN
fumecheng-5297	76	4	of	of	ADP
fumecheng-5297	76	5	normal	normal	ADJ
fumecheng-5297	76	6	displacements	displacement	NOUN
fumecheng-5297	76	7	on	on	ADP
fumecheng-5297	76	8	the	the	DET
fumecheng-5297	76	9	value	value	NOUN
fumecheng-5297	76	10	of	of	ADP
fumecheng-5297	76	11	the	the	DET
fumecheng-5297	76	12	constant	constant	ADJ
fumecheng-5297	76	13	pressure	pressure	NOUN
fumecheng-5297	76	14	in	in	ADP
fumecheng-5297	76	15	eq	eq	ADP
fumecheng-5297	76	16	.	.	PUNCT
fumecheng-5297	76	17	(	(	PUNCT
fumecheng-5297	76	18	7	7	X
fumecheng-5297	76	19	)	)	PUNCT
fumecheng-5297	76	20	is	be	AUX
fumecheng-5297	76	21	linear	linear	ADJ
fumecheng-5297	76	22	,	,	PUNCT
fumecheng-5297	76	23	it	it	PRON
fumecheng-5297	76	24	can	can	AUX
fumecheng-5297	76	25	be	be	AUX
fumecheng-5297	76	26	used	use	VERB
fumecheng-5297	76	27	to	to	PART
fumecheng-5297	76	28	find	find	VERB
fumecheng-5297	76	29	influence	influence	NOUN
fumecheng-5297	76	30	coefficients	coefficient	NOUN
fumecheng-5297	76	31	in	in	ADP
fumecheng-5297	76	32	the	the	DET
fumecheng-5297	76	33	boundary	boundary	ADJ
fumecheng-5297	76	34	element	element	NOUN
fumecheng-5297	76	35	method	method	NOUN
fumecheng-5297	76	36	.	.	PUNCT
fumecheng-5297	77	1	contact	contact	NOUN
fumecheng-5297	77	2	of	of	ADP
fumecheng-5297	77	3	multi	multi	ADJ
fumecheng-5297	77	4	-	-	ADJ
fumecheng-5297	77	5	level	level	ADJ
fumecheng-5297	77	6	periodic	periodic	ADJ
fumecheng-5297	77	7	system	system	NOUN
fumecheng-5297	77	8	of	of	ADP
fumecheng-5297	77	9	indenters	indenter	NOUN
fumecheng-5297	77	10	with	with	ADP
fumecheng-5297	77	11	coated	coated	ADJ
fumecheng-5297	77	12	elastic	elastic	ADJ
fumecheng-5297	77	13	half	half	ADJ
fumecheng-5297	77	14	-	-	PUNCT
fumecheng-5297	77	15	space	space	NOUN
fumecheng-5297	77	16	153	153	NUM
fumecheng-5297	77	17	2.3	2.3	NUM
fumecheng-5297	77	18	.	.	PUNCT
fumecheng-5297	78	1	calculation	calculation	NOUN
fumecheng-5297	78	2	of	of	ADP
fumecheng-5297	78	3	contact	contact	NOUN
fumecheng-5297	78	4	characteristics	characteristic	NOUN
fumecheng-5297	78	5	the	the	DET
fumecheng-5297	78	6	boundary	boundary	ADJ
fumecheng-5297	78	7	element	element	NOUN
fumecheng-5297	78	8	method	method	NOUN
fumecheng-5297	78	9	for	for	ADP
fumecheng-5297	78	10	a	a	DET
fumecheng-5297	78	11	contact	contact	NOUN
fumecheng-5297	78	12	problem	problem	NOUN
fumecheng-5297	78	13	solution	solution	NOUN
fumecheng-5297	78	14	is	be	AUX
fumecheng-5297	78	15	described	describe	VERB
fumecheng-5297	78	16	in	in	ADP
fumecheng-5297	78	17	many	many	ADJ
fumecheng-5297	78	18	papers	paper	NOUN
fumecheng-5297	78	19	.	.	PUNCT
fumecheng-5297	79	1	in	in	ADP
fumecheng-5297	79	2	[	[	X
fumecheng-5297	79	3	6	6	NUM
fumecheng-5297	79	4	]	]	PUNCT
fumecheng-5297	79	5	it	it	PRON
fumecheng-5297	79	6	was	be	AUX
fumecheng-5297	79	7	developed	develop	VERB
fumecheng-5297	79	8	to	to	PART
fumecheng-5297	79	9	study	study	VERB
fumecheng-5297	79	10	the	the	DET
fumecheng-5297	79	11	discrete	discrete	ADJ
fumecheng-5297	79	12	contact	contact	NOUN
fumecheng-5297	79	13	problem	problem	NOUN
fumecheng-5297	79	14	with	with	ADP
fumecheng-5297	79	15	mutual	mutual	ADJ
fumecheng-5297	79	16	effect	effect	NOUN
fumecheng-5297	79	17	of	of	ADP
fumecheng-5297	79	18	contact	contact	NOUN
fumecheng-5297	79	19	spots	spot	NOUN
fumecheng-5297	79	20	.	.	PUNCT
fumecheng-5297	80	1	to	to	PART
fumecheng-5297	80	2	solve	solve	VERB
fumecheng-5297	80	3	the	the	DET
fumecheng-5297	80	4	contact	contact	NOUN
fumecheng-5297	80	5	problem	problem	NOUN
fumecheng-5297	80	6	formulated	formulate	VERB
fumecheng-5297	80	7	in	in	ADP
fumecheng-5297	80	8	eqs	eqs	PROPN
fumecheng-5297	80	9	.	.	PUNCT
fumecheng-5297	81	1	(	(	PUNCT
fumecheng-5297	81	2	2	2	NUM
fumecheng-5297	81	3	)	)	PUNCT
fumecheng-5297	81	4	and	and	CCONJ
fumecheng-5297	81	5	(	(	PUNCT
fumecheng-5297	81	6	3	3	NUM
fumecheng-5297	81	7	)	)	PUNCT
fumecheng-5297	81	8	,	,	PUNCT
fumecheng-5297	81	9	we	we	PRON
fumecheng-5297	81	10	used	use	VERB
fumecheng-5297	81	11	the	the	DET
fumecheng-5297	81	12	following	following	ADJ
fumecheng-5297	81	13	steps	step	NOUN
fumecheng-5297	81	14	.	.	PUNCT
fumecheng-5297	82	1	at	at	ADP
fumecheng-5297	82	2	the	the	DET
fumecheng-5297	82	3	first	first	ADJ
fumecheng-5297	82	4	step	step	NOUN
fumecheng-5297	82	5	,	,	PUNCT
fumecheng-5297	82	6	we	we	PRON
fumecheng-5297	82	7	place	place	VERB
fumecheng-5297	82	8	the	the	DET
fumecheng-5297	82	9	center	center	NOUN
fumecheng-5297	82	10	of	of	ADP
fumecheng-5297	82	11	the	the	DET
fumecheng-5297	82	12	circle	circle	NOUN
fumecheng-5297	82	13	,	,	PUNCT
fumecheng-5297	82	14	in	in	ADP
fumecheng-5297	82	15	which	which	PRON
fumecheng-5297	82	16	we	we	PRON
fumecheng-5297	82	17	are	be	AUX
fumecheng-5297	82	18	looking	look	VERB
fumecheng-5297	82	19	for	for	ADP
fumecheng-5297	82	20	a	a	DET
fumecheng-5297	82	21	real	real	ADJ
fumecheng-5297	82	22	distribution	distribution	NOUN
fumecheng-5297	82	23	of	of	ADP
fumecheng-5297	82	24	pressures	pressure	NOUN
fumecheng-5297	82	25	,	,	PUNCT
fumecheng-5297	82	26	in	in	ADP
fumecheng-5297	82	27	the	the	DET
fumecheng-5297	82	28	center	center	NOUN
fumecheng-5297	82	29	of	of	ADP
fumecheng-5297	82	30	the	the	DET
fumecheng-5297	82	31	highest	high	ADJ
fumecheng-5297	82	32	indenter	indenter	NOUN
fumecheng-5297	82	33	and	and	CCONJ
fumecheng-5297	82	34	calculate	calculate	VERB
fumecheng-5297	82	35	the	the	DET
fumecheng-5297	82	36	surface	surface	NOUN
fumecheng-5297	82	37	shape	shape	NOUN
fumecheng-5297	82	38	g(x	g(x	PROPN
fumecheng-5297	82	39	,	,	PUNCT
fumecheng-5297	82	40	y	y	NOUN
fumecheng-5297	82	41	)	)	PUNCT
fumecheng-5297	82	42	inside	inside	ADP
fumecheng-5297	82	43	the	the	DET
fumecheng-5297	82	44	circle	circle	NOUN
fumecheng-5297	82	45	with	with	ADP
fumecheng-5297	82	46	radius	radius	NOUN
fumecheng-5297	82	47	r1	r1	PROPN
fumecheng-5297	82	48	,	,	PUNCT
fumecheng-5297	82	49	eq	eq	NOUN
fumecheng-5297	82	50	.	.	PUNCT
fumecheng-5297	83	1	(	(	PUNCT
fumecheng-5297	83	2	4	4	NUM
fumecheng-5297	83	3	)	)	PUNCT
fumecheng-5297	83	4	)	)	PUNCT
fumecheng-5297	84	1	,	,	PUNCT
fumecheng-5297	84	2	due	due	ADP
fumecheng-5297	84	3	to	to	ADP
fumecheng-5297	84	4	constant	constant	ADJ
fumecheng-5297	84	5	nominal	nominal	ADJ
fumecheng-5297	84	6	pressure	pressure	NOUN
fumecheng-5297	84	7	p	p	NOUN
fumecheng-5297	84	8	outside	outside	ADP
fumecheng-5297	84	9	the	the	DET
fumecheng-5297	84	10	circle	circle	NOUN
fumecheng-5297	84	11	.	.	PUNCT
fumecheng-5297	85	1	the	the	DET
fumecheng-5297	85	2	value	value	NOUN
fumecheng-5297	85	3	of	of	ADP
fumecheng-5297	85	4	p	p	NOUN
fumecheng-5297	85	5	at	at	ADP
fumecheng-5297	85	6	this	this	DET
fumecheng-5297	85	7	step	step	NOUN
fumecheng-5297	85	8	is	be	AUX
fumecheng-5297	85	9	small	small	ADJ
fumecheng-5297	85	10	enough	enough	ADV
fumecheng-5297	85	11	to	to	PART
fumecheng-5297	85	12	provide	provide	VERB
fumecheng-5297	85	13	only	only	ADV
fumecheng-5297	85	14	the	the	DET
fumecheng-5297	85	15	contact	contact	NOUN
fumecheng-5297	85	16	of	of	ADP
fumecheng-5297	85	17	the	the	DET
fumecheng-5297	85	18	indenters	indenter	NOUN
fumecheng-5297	85	19	of	of	ADP
fumecheng-5297	85	20	the	the	DET
fumecheng-5297	85	21	first	first	ADJ
fumecheng-5297	85	22	level	level	NOUN
fumecheng-5297	85	23	.	.	PUNCT
fumecheng-5297	86	1	function	function	VERB
fumecheng-5297	86	2	g(x	g(x	PROPN
fumecheng-5297	86	3	,	,	PUNCT
fumecheng-5297	86	4	y	y	NOUN
fumecheng-5297	86	5	)	)	PUNCT
fumecheng-5297	86	6	is	be	AUX
fumecheng-5297	86	7	used	use	VERB
fumecheng-5297	86	8	then	then	ADV
fumecheng-5297	86	9	in	in	ADP
fumecheng-5297	86	10	formulation	formulation	NOUN
fumecheng-5297	86	11	of	of	ADP
fumecheng-5297	86	12	the	the	DET
fumecheng-5297	86	13	contact	contact	NOUN
fumecheng-5297	86	14	conditions	condition	NOUN
fumecheng-5297	86	15	to	to	PART
fumecheng-5297	86	16	calculate	calculate	VERB
fumecheng-5297	86	17	the	the	DET
fumecheng-5297	86	18	pressure	pressure	NOUN
fumecheng-5297	86	19	distribution	distribution	NOUN
fumecheng-5297	86	20	under	under	ADP
fumecheng-5297	86	21	the	the	DET
fumecheng-5297	86	22	indenters	indenter	NOUN
fumecheng-5297	86	23	of	of	ADP
fumecheng-5297	86	24	the	the	DET
fumecheng-5297	86	25	first	first	ADJ
fumecheng-5297	86	26	level	level	NOUN
fumecheng-5297	86	27	and	and	CCONJ
fumecheng-5297	86	28	the	the	DET
fumecheng-5297	86	29	normal	normal	ADJ
fumecheng-5297	86	30	displacements	displacement	NOUN
fumecheng-5297	86	31	outside	outside	ADP
fumecheng-5297	86	32	the	the	DET
fumecheng-5297	86	33	contact	contact	NOUN
fumecheng-5297	86	34	spots	spot	NOUN
fumecheng-5297	86	35	.	.	PUNCT
fumecheng-5297	87	1	then	then	ADV
fumecheng-5297	87	2	we	we	PRON
fumecheng-5297	87	3	increase	increase	VERB
fumecheng-5297	87	4	nominal	nominal	ADJ
fumecheng-5297	87	5	(	(	PUNCT
fumecheng-5297	87	6	average	average	ADJ
fumecheng-5297	87	7	)	)	PUNCT
fumecheng-5297	87	8	pressure	pressure	NOUN
fumecheng-5297	87	9	controlling	control	VERB
fumecheng-5297	87	10	the	the	DET
fumecheng-5297	87	11	displacements	displacement	NOUN
fumecheng-5297	87	12	under	under	ADP
fumecheng-5297	87	13	indenters	indenter	NOUN
fumecheng-5297	87	14	of	of	ADP
fumecheng-5297	87	15	the	the	DET
fumecheng-5297	87	16	next	next	ADJ
fumecheng-5297	87	17	level	level	NOUN
fumecheng-5297	87	18	.	.	PUNCT
fumecheng-5297	88	1	for	for	ADP
fumecheng-5297	88	2	pressures	pressure	NOUN
fumecheng-5297	88	3	2	2	NUM
fumecheng-5297	88	4	1p	1p	NUM
fumecheng-5297	88	5	p	p	NOUN
fumecheng-5297	88	6	p	p	PROPN
fumecheng-5297	88	7			PROPN
fumecheng-5297	88	8	the	the	DET
fumecheng-5297	88	9	indenters	indenter	NOUN
fumecheng-5297	88	10	of	of	ADP
fumecheng-5297	88	11	the	the	DET
fumecheng-5297	88	12	second	second	ADJ
fumecheng-5297	88	13	level	level	NOUN
fumecheng-5297	88	14	come	come	VERB
fumecheng-5297	88	15	into	into	ADP
fumecheng-5297	88	16	contact	contact	NOUN
fumecheng-5297	88	17	.	.	PUNCT
fumecheng-5297	89	1	then	then	ADV
fumecheng-5297	89	2	we	we	PRON
fumecheng-5297	89	3	take	take	VERB
fumecheng-5297	89	4	the	the	DET
fumecheng-5297	89	5	origin	origin	NOUN
fumecheng-5297	89	6	of	of	ADP
fumecheng-5297	89	7	coordinates	coordinate	NOUN
fumecheng-5297	89	8	under	under	ADP
fumecheng-5297	89	9	the	the	DET
fumecheng-5297	89	10	center	center	NOUN
fumecheng-5297	89	11	of	of	ADP
fumecheng-5297	89	12	indenter	indenter	NOUN
fumecheng-5297	89	13	of	of	ADP
fumecheng-5297	89	14	the	the	DET
fumecheng-5297	89	15	second	second	ADJ
fumecheng-5297	89	16	level	level	NOUN
fumecheng-5297	89	17	.	.	PUNCT
fumecheng-5297	90	1	for	for	ADP
fumecheng-5297	90	2	calculation	calculation	NOUN
fumecheng-5297	90	3	of	of	ADP
fumecheng-5297	90	4	the	the	DET
fumecheng-5297	90	5	contact	contact	NOUN
fumecheng-5297	90	6	pressure	pressure	NOUN
fumecheng-5297	90	7	under	under	ADP
fumecheng-5297	90	8	the	the	DET
fumecheng-5297	90	9	indenters	indenter	NOUN
fumecheng-5297	90	10	of	of	ADP
fumecheng-5297	90	11	the	the	DET
fumecheng-5297	90	12	second	second	ADJ
fumecheng-5297	90	13	level	level	NOUN
fumecheng-5297	90	14	,	,	PUNCT
fumecheng-5297	90	15	we	we	PRON
fumecheng-5297	90	16	take	take	VERB
fumecheng-5297	90	17	into	into	ADP
fumecheng-5297	90	18	account	account	NOUN
fumecheng-5297	90	19	the	the	DET
fumecheng-5297	90	20	real	real	ADJ
fumecheng-5297	90	21	contact	contact	NOUN
fumecheng-5297	90	22	pressure	pressure	NOUN
fumecheng-5297	90	23	distributions	distribution	NOUN
fumecheng-5297	90	24	at	at	ADP
fumecheng-5297	90	25	the	the	DET
fumecheng-5297	90	26	contact	contact	NOUN
fumecheng-5297	90	27	spots	spot	NOUN
fumecheng-5297	90	28	of	of	ADP
fumecheng-5297	90	29	the	the	DET
fumecheng-5297	90	30	first	first	ADJ
fumecheng-5297	90	31	and	and	CCONJ
fumecheng-5297	90	32	second	second	ADJ
fumecheng-5297	90	33	levels	level	NOUN
fumecheng-5297	90	34	,	,	PUNCT
fumecheng-5297	90	35	and	and	CCONJ
fumecheng-5297	90	36	the	the	DET
fumecheng-5297	90	37	nominal	nominal	ADJ
fumecheng-5297	90	38	pressure	pressure	NOUN
fumecheng-5297	90	39	outside	outside	ADP
fumecheng-5297	90	40	the	the	DET
fumecheng-5297	90	41	circle	circle	NOUN
fumecheng-5297	90	42	of	of	ADP
fumecheng-5297	90	43	radius	radius	NOUN
fumecheng-5297	90	44	r2	r2	NOUN
fumecheng-5297	90	45	,	,	PUNCT
fumecheng-5297	90	46	eq	eq	NOUN
fumecheng-5297	90	47	.	.	PUNCT
fumecheng-5297	91	1	(	(	PUNCT
fumecheng-5297	91	2	4	4	NUM
fumecheng-5297	91	3	)	)	PUNCT
fumecheng-5297	91	4	,	,	PUNCT
fumecheng-5297	91	5	and	and	CCONJ
fumecheng-5297	91	6	use	use	VERB
fumecheng-5297	91	7	the	the	DET
fumecheng-5297	91	8	iteration	iteration	NOUN
fumecheng-5297	91	9	method	method	NOUN
fumecheng-5297	91	10	.	.	PUNCT
fumecheng-5297	92	1	using	use	VERB
fumecheng-5297	92	2	similar	similar	ADJ
fumecheng-5297	92	3	procedure	procedure	NOUN
fumecheng-5297	92	4	for	for	ADP
fumecheng-5297	92	5	each	each	DET
fumecheng-5297	92	6	i	i	PROPN
fumecheng-5297	92	7	-	-	PUNCT
fumecheng-5297	92	8	th	th	VERB
fumecheng-5297	92	9	level	level	NOUN
fumecheng-5297	92	10	we	we	PRON
fumecheng-5297	92	11	calculate	calculate	VERB
fumecheng-5297	92	12	the	the	DET
fumecheng-5297	92	13	contact	contact	NOUN
fumecheng-5297	92	14	pressure	pressure	NOUN
fumecheng-5297	92	15	distribution	distribution	NOUN
fumecheng-5297	92	16	for	for	ADP
fumecheng-5297	92	17	each	each	DET
fumecheng-5297	92	18	level	level	NOUN
fumecheng-5297	92	19	of	of	ADP
fumecheng-5297	92	20	indenters	indenter	NOUN
fumecheng-5297	92	21	,	,	PUNCT
fumecheng-5297	92	22	normal	normal	ADJ
fumecheng-5297	92	23	forces	force	NOUN
fumecheng-5297	92	24	acted	act	VERB
fumecheng-5297	92	25	at	at	ADP
fumecheng-5297	92	26	indenters	indenter	NOUN
fumecheng-5297	92	27	of	of	ADP
fumecheng-5297	92	28	each	each	DET
fumecheng-5297	92	29	level	level	NOUN
fumecheng-5297	92	30	and	and	CCONJ
fumecheng-5297	92	31	their	their	PRON
fumecheng-5297	92	32	redistribution	redistribution	NOUN
fumecheng-5297	92	33	if	if	SCONJ
fumecheng-5297	92	34	the	the	DET
fumecheng-5297	92	35	nominal	nominal	ADJ
fumecheng-5297	92	36	pressure	pressure	NOUN
fumecheng-5297	92	37	increases	increase	NOUN
fumecheng-5297	92	38	.	.	PUNCT
fumecheng-5297	93	1	additional	additional	ADJ
fumecheng-5297	93	2	displacement	displacement	ADJ
fumecheng-5297	93	3	wa	wa	NOUN
fumecheng-5297	93	4	of	of	ADP
fumecheng-5297	93	5	the	the	DET
fumecheng-5297	93	6	periodical	periodical	ADJ
fumecheng-5297	93	7	system	system	NOUN
fumecheng-5297	93	8	of	of	ADP
fumecheng-5297	93	9	indenters	indenter	NOUN
fumecheng-5297	93	10	is	be	AUX
fumecheng-5297	93	11	also	also	ADV
fumecheng-5297	93	12	calculated	calculate	VERB
fumecheng-5297	93	13	.	.	PUNCT
fumecheng-5297	94	1	this	this	DET
fumecheng-5297	94	2	value	value	NOUN
fumecheng-5297	94	3	indicates	indicate	VERB
fumecheng-5297	94	4	the	the	DET
fumecheng-5297	94	5	displacement	displacement	NOUN
fumecheng-5297	94	6	due	due	ADP
fumecheng-5297	94	7	to	to	ADP
fumecheng-5297	94	8	surface	surface	NOUN
fumecheng-5297	94	9	microgeometry	microgeometry	NOUN
fumecheng-5297	94	10	,	,	PUNCT
fumecheng-5297	94	11	and	and	CCONJ
fumecheng-5297	94	12	it	it	PRON
fumecheng-5297	94	13	is	be	AUX
fumecheng-5297	94	14	calculated	calculate	VERB
fumecheng-5297	94	15	from	from	ADP
fumecheng-5297	94	16	the	the	DET
fumecheng-5297	94	17	relationship	relationship	NOUN
fumecheng-5297	95	1	[	[	X
fumecheng-5297	95	2	2	2	NUM
fumecheng-5297	95	3	]	]	PUNCT
fumecheng-5297	95	4	:	:	PUNCT
fumecheng-5297	95	5			ADJ
fumecheng-5297	95	6			ADP
fumecheng-5297	95	7			PROPN
fumecheng-5297	95	8			ADP
fumecheng-5297	95	9	1	1	NUM
fumecheng-5297	95	10	(	(	PUNCT
fumecheng-5297	95	11	,	,	PUNCT
fumecheng-5297	95	12	)	)	PUNCT
fumecheng-5297	96	1	i	i	PRON
fumecheng-5297	96	2	m	m	VERB
fumecheng-5297	96	3	i	i	VERB
fumecheng-5297	96	4	k	k	PROPN
fumecheng-5297	97	1	a	a	DET
fumecheng-5297	97	2	i	i	NOUN
fumecheng-5297	97	3	r	r	VERB
fumecheng-5297	98	1	i	i	X
fumecheng-5297	98	2	w	w	PROPN
fumecheng-5297	99	1	f	f	PROPN
fumecheng-5297	99	2	p	p	NOUN
fumecheng-5297	99	3	r	r	NOUN
fumecheng-5297	99	4	f	f	NOUN
fumecheng-5297	99	5	p	p	NOUN
fumecheng-5297	99	6			X
fumecheng-5297	100	1			NUM
fumecheng-5297	100	2			NUM
fumecheng-5297	101	1			NOUN
fumecheng-5297	101	2	(	(	PUNCT
fumecheng-5297	101	3	8)	8)	X
fumecheng-5297	101	4	here	here	ADV
fumecheng-5297	101	5	function	function	NOUN
fumecheng-5297	102	1	i	i	PRON
fumecheng-5297	102	2	m	m	VERB
fumecheng-5297	102	3	f	f	X
fumecheng-5297	102	4	indicates	indicate	VERB
fumecheng-5297	102	5	the	the	DET
fumecheng-5297	102	6	surface	surface	NOUN
fumecheng-5297	102	7	displacement	displacement	NOUN
fumecheng-5297	102	8	under	under	ADP
fumecheng-5297	102	9	the	the	DET
fumecheng-5297	102	10	highest	high	ADJ
fumecheng-5297	102	11	indenter	indenter	NOUN
fumecheng-5297	102	12	due	due	ADP
fumecheng-5297	102	13	to	to	ADP
fumecheng-5297	102	14	real	real	ADJ
fumecheng-5297	102	15	contact	contact	NOUN
fumecheng-5297	102	16	pressures	pressure	NOUN
fumecheng-5297	102	17	distribution	distribution	NOUN
fumecheng-5297	102	18	under	under	ADP
fumecheng-5297	102	19	asperities	asperity	NOUN
fumecheng-5297	102	20	located	locate	VERB
fumecheng-5297	102	21	inside	inside	ADP
fumecheng-5297	102	22	the	the	DET
fumecheng-5297	102	23	circle	circle	NOUN
fumecheng-5297	102	24	of	of	ADP
fumecheng-5297	102	25	radius	radius	NOUN
fumecheng-5297	102	26	r1	r1	PROPN
fumecheng-5297	102	27	,	,	PUNCT
fumecheng-5297	102	28	irf	irf	PROPN
fumecheng-5297	102	29	is	be	AUX
fumecheng-5297	102	30	related	relate	VERB
fumecheng-5297	102	31	to	to	ADP
fumecheng-5297	102	32	the	the	DET
fumecheng-5297	102	33	displacement	displacement	NOUN
fumecheng-5297	102	34	caused	cause	VERB
fumecheng-5297	102	35	by	by	ADP
fumecheng-5297	102	36	average	average	ADJ
fumecheng-5297	102	37	pressure	pressure	NOUN
fumecheng-5297	102	38	p	p	NOUN
fumecheng-5297	102	39	distributed	distribute	VERB
fumecheng-5297	102	40	within	within	ADP
fumecheng-5297	102	41	the	the	DET
fumecheng-5297	102	42	circle	circle	NOUN
fumecheng-5297	102	43	of	of	ADP
fumecheng-5297	102	44	radius	radius	NOUN
fumecheng-5297	102	45	r1	r1	PROPN
fumecheng-5297	102	46	.	.	PUNCT
fumecheng-5297	103	1	the	the	DET
fumecheng-5297	103	2	dependence	dependence	NOUN
fumecheng-5297	103	3	of	of	ADP
fumecheng-5297	103	4	the	the	DET
fumecheng-5297	103	5	additional	additional	ADJ
fumecheng-5297	103	6	displacement	displacement	NOUN
fumecheng-5297	103	7	of	of	ADP
fumecheng-5297	103	8	the	the	DET
fumecheng-5297	103	9	periodical	periodical	ADJ
fumecheng-5297	103	10	system	system	NOUN
fumecheng-5297	103	11	of	of	ADP
fumecheng-5297	103	12	indenters	indenter	NOUN
fumecheng-5297	103	13	on	on	ADP
fumecheng-5297	103	14	its	its	PRON
fumecheng-5297	103	15	geometrical	geometrical	ADJ
fumecheng-5297	103	16	characteristics	characteristic	NOUN
fumecheng-5297	103	17	is	be	AUX
fumecheng-5297	103	18	also	also	ADV
fumecheng-5297	103	19	analyzed	analyze	VERB
fumecheng-5297	103	20	.	.	PUNCT
fumecheng-5297	104	1	3	3	X
fumecheng-5297	104	2	.	.	NOUN
fumecheng-5297	104	3	results	result	NOUN
fumecheng-5297	104	4	and	and	CCONJ
fumecheng-5297	104	5	discussion	discussion	NOUN
fumecheng-5297	104	6	calculations	calculation	NOUN
fumecheng-5297	104	7	have	have	AUX
fumecheng-5297	104	8	been	be	AUX
fumecheng-5297	104	9	completed	complete	VERB
fumecheng-5297	104	10	for	for	ADP
fumecheng-5297	104	11	the	the	DET
fumecheng-5297	104	12	three	three	NUM
fumecheng-5297	104	13	levels	level	NOUN
fumecheng-5297	104	14	periodic	periodic	ADJ
fumecheng-5297	104	15	system	system	NOUN
fumecheng-5297	104	16	of	of	ADP
fumecheng-5297	104	17	spherical	spherical	ADJ
fumecheng-5297	104	18	indenters	indenter	NOUN
fumecheng-5297	104	19	with	with	ADP
fumecheng-5297	104	20	the	the	DET
fumecheng-5297	104	21	given	give	VERB
fumecheng-5297	104	22	heights	height	NOUN
fumecheng-5297	104	23	.	.	PUNCT
fumecheng-5297	105	1	the	the	DET
fumecheng-5297	105	2	indenters	indenter	NOUN
fumecheng-5297	105	3	were	be	AUX
fumecheng-5297	105	4	located	locate	VERB
fumecheng-5297	105	5	at	at	ADP
fumecheng-5297	105	6	the	the	DET
fumecheng-5297	105	7	points	point	NOUN
fumecheng-5297	105	8	of	of	ADP
fumecheng-5297	105	9	the	the	DET
fumecheng-5297	105	10	hexagonal	hexagonal	ADJ
fumecheng-5297	105	11	lattice	lattice	NOUN
fumecheng-5297	105	12	with	with	ADP
fumecheng-5297	105	13	distance	distance	NOUN
fumecheng-5297	105	14	l.	l.	NOUN
fumecheng-5297	106	1	the	the	DET
fumecheng-5297	106	2	indenter	indenter	PROPN
fumecheng-5297	106	3	’s	’s	PART
fumecheng-5297	106	4	shape	shape	NOUN
fumecheng-5297	106	5	at	at	ADP
fumecheng-5297	106	6	the	the	DET
fumecheng-5297	106	7	i	i	PROPN
fumecheng-5297	106	8	-	-	PUNCT
fumecheng-5297	106	9	th	th	X
fumecheng-5297	106	10	height	height	NOUN
fumecheng-5297	106	11	level	level	NOUN
fumecheng-5297	106	12	was	be	AUX
fumecheng-5297	106	13	spherical	spherical	ADJ
fumecheng-5297	106	14	(	(	PUNCT
fumecheng-5297	106	15	ri	ri	PROPN
fumecheng-5297	106	16	is	be	AUX
fumecheng-5297	106	17	the	the	DET
fumecheng-5297	106	18	radius	radius	NOUN
fumecheng-5297	106	19	of	of	ADP
fumecheng-5297	106	20	curvature	curvature	NOUN
fumecheng-5297	106	21	of	of	ADP
fumecheng-5297	106	22	the	the	DET
fumecheng-5297	106	23	indenter	indenter	NOUN
fumecheng-5297	106	24	near	near	ADP
fumecheng-5297	106	25	the	the	DET
fumecheng-5297	106	26	point	point	NOUN
fumecheng-5297	106	27	of	of	ADP
fumecheng-5297	106	28	initial	initial	ADJ
fumecheng-5297	106	29	contact	contact	NOUN
fumecheng-5297	106	30	)	)	PUNCT
fumecheng-5297	106	31	.	.	PUNCT
fumecheng-5297	107	1	note	note	VERB
fumecheng-5297	107	2	that	that	SCONJ
fumecheng-5297	107	3	the	the	DET
fumecheng-5297	107	4	model	model	NOUN
fumecheng-5297	107	5	under	under	ADP
fumecheng-5297	107	6	consideration	consideration	NOUN
fumecheng-5297	107	7	is	be	AUX
fumecheng-5297	107	8	valid	valid	ADJ
fumecheng-5297	107	9	only	only	ADV
fumecheng-5297	107	10	for	for	ADP
fumecheng-5297	107	11	small	small	ADJ
fumecheng-5297	107	12	deformations	deformation	NOUN
fumecheng-5297	107	13	,	,	PUNCT
fumecheng-5297	107	14	so	so	SCONJ
fumecheng-5297	107	15	the	the	DET
fumecheng-5297	107	16	saturation	saturation	NOUN
fumecheng-5297	107	17	effect	effect	NOUN
fumecheng-5297	107	18	can	can	AUX
fumecheng-5297	107	19	not	not	PART
fumecheng-5297	107	20	be	be	AUX
fumecheng-5297	107	21	analyzed	analyze	VERB
fumecheng-5297	107	22	within	within	ADP
fumecheng-5297	107	23	the	the	DET
fumecheng-5297	107	24	framework	framework	NOUN
fumecheng-5297	107	25	of	of	ADP
fumecheng-5297	107	26	this	this	DET
fumecheng-5297	107	27	study	study	NOUN
fumecheng-5297	107	28	.	.	PUNCT
fumecheng-5297	108	1	154	154	NUM
fumecheng-5297	108	2	i.	i.	PROPN
fumecheng-5297	108	3	goryacheva	goryacheva	PROPN
fumecheng-5297	108	4	,	,	PUNCT
fumecheng-5297	108	5	e.	e.	PROPN
fumecheng-5297	108	6	torskaya	torskaya	VERB
fumecheng-5297	108	7	the	the	DET
fumecheng-5297	108	8	dependence	dependence	NOUN
fumecheng-5297	108	9	of	of	ADP
fumecheng-5297	108	10	the	the	DET
fumecheng-5297	108	11	contact	contact	NOUN
fumecheng-5297	108	12	characteristics	characteristic	NOUN
fumecheng-5297	108	13	on	on	ADP
fumecheng-5297	108	14	the	the	DET
fumecheng-5297	108	15	following	follow	VERB
fumecheng-5297	108	16	model	model	NOUN
fumecheng-5297	108	17	parameters	parameter	NOUN
fumecheng-5297	108	18	has	have	AUX
fumecheng-5297	108	19	been	be	AUX
fumecheng-5297	108	20	analyzed	analyze	VERB
fumecheng-5297	108	21	:	:	PUNCT
fumecheng-5297	108	22			X
fumecheng-5297	108	23	coating	coat	VERB
fumecheng-5297	108	24	thickness	thickness	NOUN
fumecheng-5297	108	25	h	h	NOUN
fumecheng-5297	108	26	;	;	PUNCT
fumecheng-5297	108	27			X
fumecheng-5297	108	28	young	young	ADJ
fumecheng-5297	108	29	modulus	modulus	NOUN
fumecheng-5297	108	30	ej	ej	PROPN
fumecheng-5297	108	31	and	and	CCONJ
fumecheng-5297	108	32	poisson	poisson	PROPN
fumecheng-5297	108	33	ratio	ratio	NOUN
fumecheng-5297	108	34	j	j	PROPN
fumecheng-5297	108	35	for	for	ADP
fumecheng-5297	108	36	coating	coat	VERB
fumecheng-5297	108	37	(	(	PUNCT
fumecheng-5297	108	38	j=1	j=1	NOUN
fumecheng-5297	108	39	)	)	PUNCT
fumecheng-5297	108	40	and	and	CCONJ
fumecheng-5297	108	41	substrate	substrate	NOUN
fumecheng-5297	108	42	(	(	PUNCT
fumecheng-5297	108	43	j=2	j=2	NOUN
fumecheng-5297	108	44	)	)	PUNCT
fumecheng-5297	108	45	materials	material	NOUN
fumecheng-5297	108	46	;	;	PUNCT
fumecheng-5297	108	47			X
fumecheng-5297	108	48	lattice	lattice	NOUN
fumecheng-5297	108	49	period	period	NOUN
fumecheng-5297	108	50	for	for	ADP
fumecheng-5297	108	51	the	the	DET
fumecheng-5297	108	52	system	system	NOUN
fumecheng-5297	108	53	of	of	ADP
fumecheng-5297	108	54	indenters	indenter	NOUN
fumecheng-5297	108	55	,	,	PUNCT
fumecheng-5297	108	56	l	l	NOUN
fumecheng-5297	108	57	;	;	PUNCT
fumecheng-5297	108	58			X
fumecheng-5297	108	59	radius	radius	NOUN
fumecheng-5297	108	60	of	of	ADP
fumecheng-5297	108	61	indenters	indenter	NOUN
fumecheng-5297	108	62	(	(	PUNCT
fumecheng-5297	108	63	for	for	ADP
fumecheng-5297	108	64	each	each	DET
fumecheng-5297	108	65	level	level	NOUN
fumecheng-5297	108	66	)	)	PUNCT
fumecheng-5297	108	67	,	,	PUNCT
fumecheng-5297	108	68	ri	ri	PROPN
fumecheng-5297	108	69	;	;	PUNCT
fumecheng-5297	108	70			X
fumecheng-5297	108	71	heights	height	NOUN
fumecheng-5297	108	72	of	of	ADP
fumecheng-5297	108	73	indenters	indenter	NOUN
fumecheng-5297	108	74	of	of	ADP
fumecheng-5297	108	75	each	each	DET
fumecheng-5297	108	76	level	level	NOUN
fumecheng-5297	108	77	hi	hi	INTJ
fumecheng-5297	108	78	.	.	PUNCT
fumecheng-5297	109	1	the	the	DET
fumecheng-5297	109	2	following	follow	VERB
fumecheng-5297	109	3	dimensionless	dimensionless	NOUN
fumecheng-5297	109	4	parameters	parameter	NOUN
fumecheng-5297	109	5	have	have	AUX
fumecheng-5297	109	6	been	be	AUX
fumecheng-5297	109	7	introduced	introduce	VERB
fumecheng-5297	109	8	:	:	PUNCT
fumecheng-5297	109	9			NUM
fumecheng-5297	109	10	dimensionless	dimensionless	ADJ
fumecheng-5297	109	11	radius	radius	NOUN
fumecheng-5297	109	12	of	of	ADP
fumecheng-5297	109	13	indenters	indenter	NOUN
fumecheng-5297	109	14	for	for	ADP
fumecheng-5297	109	15	i	i	PROPN
fumecheng-5297	109	16	-	-	PUNCT
fumecheng-5297	109	17	th	th	VERB
fumecheng-5297	109	18	level	level	NOUN
fumecheng-5297	109	19	(	(	PUNCT
fumecheng-5297	109	20	i=1,2,3	i=1,2,3	NUM
fumecheng-5297	109	21	)	)	PUNCT
fumecheng-5297	109	22	,	,	PUNCT
fumecheng-5297	109	23	'	'	PUNCT
fumecheng-5297	109	24	/i	/i	PUNCT
fumecheng-5297	109	25	ir	ir	PROPN
fumecheng-5297	109	26	r	r	NOUN
fumecheng-5297	109	27	l	l	NOUN
fumecheng-5297	109	28	(	(	PUNCT
fumecheng-5297	109	29	9	9	NUM
fumecheng-5297	109	30	)	)	PUNCT
fumecheng-5297	109	31			NOUN
fumecheng-5297	109	32	dimensionless	dimensionless	NOUN
fumecheng-5297	109	33	contact	contact	NOUN
fumecheng-5297	109	34	pressure	pressure	NOUN
fumecheng-5297	109	35	distribution	distribution	NOUN
fumecheng-5297	109	36	for	for	ADP
fumecheng-5297	109	37	i	i	PROPN
fumecheng-5297	109	38	-	-	PUNCT
fumecheng-5297	109	39	th	th	VERB
fumecheng-5297	109	40	level	level	NOUN
fumecheng-5297	109	41	2	2	NUM
fumecheng-5297	109	42	'	'	NUM
fumecheng-5297	109	43	(	(	PUNCT
fumecheng-5297	109	44	,	,	PUNCT
fumecheng-5297	109	45	)	)	PUNCT
fumecheng-5297	109	46	(	(	PUNCT
fumecheng-5297	109	47	,	,	PUNCT
fumecheng-5297	109	48	)	)	PUNCT
fumecheng-5297	109	49	/i	/i	PUNCT
fumecheng-5297	109	50	ip	ip	NOUN
fumecheng-5297	109	51	x	x	X
fumecheng-5297	109	52	y	y	NOUN
fumecheng-5297	109	53	p	p	NOUN
fumecheng-5297	109	54	x	x	X
fumecheng-5297	109	55	y	y	PROPN
fumecheng-5297	109	56	e	e	PROPN
fumecheng-5297	109	57	(	(	PUNCT
fumecheng-5297	109	58	10	10	NUM
fumecheng-5297	109	59	)	)	PUNCT
fumecheng-5297	109	60			NOUN
fumecheng-5297	109	61	dimensionless	dimensionless	ADJ
fumecheng-5297	109	62	average	average	ADJ
fumecheng-5297	109	63	pressure	pressure	NOUN
fumecheng-5297	109	64	2	2	NUM
fumecheng-5297	109	65	'	'	PUNCT
fumecheng-5297	109	66	/p	/p	PUNCT
fumecheng-5297	110	1	p	p	X
fumecheng-5297	110	2	e	e	ADJ
fumecheng-5297	110	3	(	(	PUNCT
fumecheng-5297	110	4	11	11	NUM
fumecheng-5297	110	5	)	)	PUNCT
fumecheng-5297	110	6	all	all	DET
fumecheng-5297	110	7	internal	internal	ADJ
fumecheng-5297	110	8	stresses	stress	NOUN
fumecheng-5297	110	9	are	be	AUX
fumecheng-5297	110	10	also	also	ADV
fumecheng-5297	110	11	related	relate	VERB
fumecheng-5297	110	12	to	to	ADP
fumecheng-5297	110	13	e2	e2	PROPN
fumecheng-5297	110	14	.	.	PUNCT
fumecheng-5297	111	1	dimensionless	dimensionless	NOUN
fumecheng-5297	111	2	parameter	parameter	NOUN
fumecheng-5297	111	3			NOUN
fumecheng-5297	111	4	,	,	PUNCT
fumecheng-5297	111	5	which	which	PRON
fumecheng-5297	111	6	characterizes	characterize	VERB
fumecheng-5297	111	7	relative	relative	ADJ
fumecheng-5297	111	8	compliance	compliance	NOUN
fumecheng-5297	111	9	of	of	ADP
fumecheng-5297	111	10	the	the	DET
fumecheng-5297	111	11	coating	coating	NOUN
fumecheng-5297	111	12	,	,	PUNCT
fumecheng-5297	111	13	was	be	AUX
fumecheng-5297	111	14	introduced	introduce	VERB
fumecheng-5297	111	15	in	in	ADP
fumecheng-5297	111	16	the	the	DET
fumecheng-5297	111	17	previous	previous	ADJ
fumecheng-5297	111	18	chapter	chapter	NOUN
fumecheng-5297	111	19	.	.	PUNCT
fumecheng-5297	112	1	we	we	PRON
fumecheng-5297	112	2	do	do	AUX
fumecheng-5297	112	3	not	not	PART
fumecheng-5297	112	4	use	use	VERB
fumecheng-5297	112	5	special	special	ADJ
fumecheng-5297	112	6	letter	letter	NOUN
fumecheng-5297	112	7	symbols	symbol	NOUN
fumecheng-5297	112	8	for	for	ADP
fumecheng-5297	112	9	the	the	DET
fumecheng-5297	112	10	dimensionless	dimensionless	NOUN
fumecheng-5297	112	11	thickness	thickness	NOUN
fumecheng-5297	112	12	of	of	ADP
fumecheng-5297	112	13	the	the	DET
fumecheng-5297	112	14	coating	coating	NOUN
fumecheng-5297	112	15	and	and	CCONJ
fumecheng-5297	112	16	the	the	DET
fumecheng-5297	112	17	difference	difference	NOUN
fumecheng-5297	112	18	in	in	ADP
fumecheng-5297	112	19	height	height	NOUN
fumecheng-5297	112	20	,	,	PUNCT
fumecheng-5297	112	21	but	but	CCONJ
fumecheng-5297	112	22	they	they	PRON
fumecheng-5297	112	23	are	be	AUX
fumecheng-5297	112	24	related	relate	VERB
fumecheng-5297	112	25	to	to	ADP
fumecheng-5297	112	26	the	the	DET
fumecheng-5297	112	27	lattice	lattice	NOUN
fumecheng-5297	112	28	period	period	NOUN
fumecheng-5297	112	29	.	.	PUNCT
fumecheng-5297	113	1	the	the	DET
fumecheng-5297	113	2	contact	contact	NOUN
fumecheng-5297	113	3	characteristics	characteristic	VERB
fumecheng-5297	113	4	calculations	calculation	NOUN
fumecheng-5297	113	5	for	for	ADP
fumecheng-5297	113	6	the	the	DET
fumecheng-5297	113	7	system	system	NOUN
fumecheng-5297	113	8	of	of	ADP
fumecheng-5297	113	9	indenters	indenter	NOUN
fumecheng-5297	113	10	with	with	ADP
fumecheng-5297	113	11	three	three	NUM
fumecheng-5297	113	12	height	height	NOUN
fumecheng-5297	113	13	levels	level	NOUN
fumecheng-5297	113	14	contacting	contact	VERB
fumecheng-5297	113	15	with	with	ADP
fumecheng-5297	113	16	the	the	DET
fumecheng-5297	113	17	relatively	relatively	ADV
fumecheng-5297	113	18	hard	hard	ADJ
fumecheng-5297	113	19	coating	coating	NOUN
fumecheng-5297	113	20	bonded	bond	VERB
fumecheng-5297	113	21	to	to	ADP
fumecheng-5297	113	22	the	the	DET
fumecheng-5297	113	23	elastic	elastic	ADJ
fumecheng-5297	113	24	base	base	NOUN
fumecheng-5297	113	25	have	have	AUX
fumecheng-5297	113	26	been	be	AUX
fumecheng-5297	113	27	performed	perform	VERB
fumecheng-5297	113	28	.	.	PUNCT
fumecheng-5297	114	1	in	in	ADP
fumecheng-5297	114	2	step	step	NOUN
fumecheng-5297	114	3	-	-	PUNCT
fumecheng-5297	114	4	by	by	ADP
fumecheng-5297	114	5	-	-	PUNCT
fumecheng-5297	114	6	step	step	NOUN
fumecheng-5297	114	7	solution	solution	NOUN
fumecheng-5297	114	8	with	with	ADP
fumecheng-5297	114	9	the	the	DET
fumecheng-5297	114	10	increase	increase	NOUN
fumecheng-5297	114	11	of	of	ADP
fumecheng-5297	114	12	the	the	DET
fumecheng-5297	114	13	average	average	ADJ
fumecheng-5297	114	14	pressure	pressure	NOUN
fumecheng-5297	114	15	first	first	ADV
fumecheng-5297	114	16	we	we	PRON
fumecheng-5297	114	17	have	have	VERB
fumecheng-5297	114	18	only	only	ADV
fumecheng-5297	114	19	one	one	NUM
fumecheng-5297	114	20	level	level	NOUN
fumecheng-5297	114	21	of	of	ADP
fumecheng-5297	114	22	indenters	indenter	NOUN
fumecheng-5297	114	23	in	in	ADP
fumecheng-5297	114	24	contact	contact	NOUN
fumecheng-5297	114	25	with	with	ADP
fumecheng-5297	114	26	the	the	DET
fumecheng-5297	114	27	coating	coating	NOUN
fumecheng-5297	114	28	surface	surface	NOUN
fumecheng-5297	114	29	.	.	PUNCT
fumecheng-5297	115	1	for	for	ADP
fumecheng-5297	115	2	the	the	DET
fumecheng-5297	115	3	chosen	choose	VERB
fumecheng-5297	115	4	space	space	NOUN
fumecheng-5297	115	5	distribution	distribution	NOUN
fumecheng-5297	115	6	of	of	ADP
fumecheng-5297	115	7	indenters	indenter	NOUN
fumecheng-5297	115	8	:	:	PUNCT
fumecheng-5297	115	9	(	(	PUNCT
fumecheng-5297	115	10	h1	h1	PROPN
fumecheng-5297	115	11	-	-	PUNCT
fumecheng-5297	115	12	h2)/l=(h2	h2)/l=(h2	NOUN
fumecheng-5297	115	13	-	-	PUNCT
fumecheng-5297	115	14	h3)/l=0.01	h3)/l=0.01	ADJ
fumecheng-5297	115	15	mutual	mutual	ADJ
fumecheng-5297	115	16	effect	effect	NOUN
fumecheng-5297	115	17	for	for	ADP
fumecheng-5297	115	18	the	the	DET
fumecheng-5297	115	19	first	first	ADJ
fumecheng-5297	115	20	level	level	NOUN
fumecheng-5297	115	21	was	be	AUX
fumecheng-5297	115	22	negligible	negligible	ADJ
fumecheng-5297	115	23	,	,	PUNCT
fumecheng-5297	115	24	the	the	DET
fumecheng-5297	115	25	pressure	pressure	NOUN
fumecheng-5297	115	26	under	under	ADP
fumecheng-5297	115	27	each	each	DET
fumecheng-5297	115	28	indenter	indenter	NOUN
fumecheng-5297	115	29	was	be	AUX
fumecheng-5297	115	30	axisymmetric	axisymmetric	ADJ
fumecheng-5297	115	31	.	.	PUNCT
fumecheng-5297	116	1	for	for	ADP
fumecheng-5297	116	2	relatively	relatively	ADV
fumecheng-5297	116	3	large	large	ADJ
fumecheng-5297	116	4	average	average	ADJ
fumecheng-5297	116	5	pressure	pressure	NOUN
fumecheng-5297	116	6	three	three	NUM
fumecheng-5297	116	7	levels	level	NOUN
fumecheng-5297	116	8	are	be	AUX
fumecheng-5297	116	9	in	in	ADP
fumecheng-5297	116	10	contact	contact	NOUN
fumecheng-5297	116	11	,	,	PUNCT
fumecheng-5297	116	12	the	the	DET
fumecheng-5297	116	13	mutual	mutual	ADJ
fumecheng-5297	116	14	effect	effect	NOUN
fumecheng-5297	116	15	becomes	become	VERB
fumecheng-5297	116	16	stronger	strong	ADJ
fumecheng-5297	116	17	.	.	PUNCT
fumecheng-5297	117	1	fig.2	fig.2	PROPN
fumecheng-5297	117	2	illustrates	illustrate	VERB
fumecheng-5297	117	3	the	the	DET
fumecheng-5297	117	4	contact	contact	NOUN
fumecheng-5297	117	5	pressure	pressure	NOUN
fumecheng-5297	117	6	distribution	distribution	NOUN
fumecheng-5297	117	7	(	(	PUNCT
fumecheng-5297	117	8	fig	fig	NOUN
fumecheng-5297	117	9	.	.	PUNCT
fumecheng-5297	118	1	2a	2a	NUM
fumecheng-5297	118	2	)	)	PUNCT
fumecheng-5297	119	1	and	and	CCONJ
fumecheng-5297	119	2	the	the	DET
fumecheng-5297	119	3	contact	contact	NOUN
fumecheng-5297	119	4	spot	spot	NOUN
fumecheng-5297	119	5	configuration	configuration	NOUN
fumecheng-5297	119	6	(	(	PUNCT
fumecheng-5297	119	7	curve	curve	NOUN
fumecheng-5297	119	8	1	1	NUM
fumecheng-5297	119	9	in	in	ADP
fumecheng-5297	119	10	fig	fig	NOUN
fumecheng-5297	119	11	.	.	PUNCT
fumecheng-5297	119	12	2b	2b	NOUN
fumecheng-5297	119	13	)	)	PUNCT
fumecheng-5297	119	14	for	for	ADP
fumecheng-5297	119	15	this	this	DET
fumecheng-5297	119	16	case	case	NOUN
fumecheng-5297	119	17	.	.	PUNCT
fumecheng-5297	120	1	we	we	PRON
fumecheng-5297	120	2	have	have	AUX
fumecheng-5297	120	3	got	get	VERB
fumecheng-5297	120	4	not	not	PART
fumecheng-5297	120	5	circular	circular	ADJ
fumecheng-5297	120	6	contact	contact	NOUN
fumecheng-5297	120	7	zone	zone	NOUN
fumecheng-5297	120	8	,	,	PUNCT
fumecheng-5297	120	9	especially	especially	ADV
fumecheng-5297	120	10	for	for	ADP
fumecheng-5297	120	11	the	the	DET
fumecheng-5297	120	12	indenters	indenter	NOUN
fumecheng-5297	120	13	of	of	ADP
fumecheng-5297	120	14	the	the	DET
fumecheng-5297	120	15	lowest	low	ADJ
fumecheng-5297	120	16	level	level	NOUN
fumecheng-5297	120	17	.	.	PUNCT
fumecheng-5297	121	1	mutual	mutual	ADJ
fumecheng-5297	121	2	effect	effect	NOUN
fumecheng-5297	121	3	can	can	AUX
fumecheng-5297	121	4	be	be	AUX
fumecheng-5297	121	5	evaluated	evaluate	VERB
fumecheng-5297	121	6	by	by	ADP
fumecheng-5297	121	7	comparison	comparison	NOUN
fumecheng-5297	121	8	of	of	ADP
fumecheng-5297	121	9	curves	curve	NOUN
fumecheng-5297	121	10	1	1	NUM
fumecheng-5297	121	11	and	and	CCONJ
fumecheng-5297	121	12	2	2	NUM
fumecheng-5297	121	13	in	in	ADP
fumecheng-5297	121	14	fig	fig	NOUN
fumecheng-5297	121	15	.	.	PUNCT
fumecheng-5297	122	1	2b	2b	NOUN
fumecheng-5297	122	2	;	;	PUNCT
fumecheng-5297	122	3	the	the	DET
fumecheng-5297	122	4	last	last	ADJ
fumecheng-5297	122	5	one	one	NOUN
fumecheng-5297	122	6	was	be	AUX
fumecheng-5297	122	7	calculated	calculate	VERB
fumecheng-5297	122	8	for	for	ADP
fumecheng-5297	122	9	the	the	DET
fumecheng-5297	122	10	same	same	ADJ
fumecheng-5297	122	11	input	input	NOUN
fumecheng-5297	122	12	parameters	parameter	NOUN
fumecheng-5297	122	13	,	,	PUNCT
fumecheng-5297	122	14	but	but	CCONJ
fumecheng-5297	122	15	neglecting	neglect	VERB
fumecheng-5297	122	16	the	the	DET
fumecheng-5297	122	17	surface	surface	NOUN
fumecheng-5297	122	18	deformation	deformation	NOUN
fumecheng-5297	122	19	due	due	ADP
fumecheng-5297	122	20	to	to	ADP
fumecheng-5297	122	21	the	the	DET
fumecheng-5297	122	22	penetration	penetration	NOUN
fumecheng-5297	122	23	of	of	ADP
fumecheng-5297	122	24	nearby	nearby	ADJ
fumecheng-5297	122	25	indenters	indenter	NOUN
fumecheng-5297	122	26	of	of	ADP
fumecheng-5297	122	27	the	the	DET
fumecheng-5297	122	28	first	first	ADJ
fumecheng-5297	122	29	and	and	CCONJ
fumecheng-5297	122	30	second	second	ADJ
fumecheng-5297	122	31	levels	level	NOUN
fumecheng-5297	122	32	.	.	PUNCT
fumecheng-5297	123	1	maximum	maximum	ADJ
fumecheng-5297	123	2	value	value	NOUN
fumecheng-5297	123	3	of	of	ADP
fumecheng-5297	123	4	the	the	DET
fumecheng-5297	123	5	contact	contact	NOUN
fumecheng-5297	123	6	pressure	pressure	NOUN
fumecheng-5297	123	7	in	in	ADP
fumecheng-5297	123	8	fig	fig	NOUN
fumecheng-5297	123	9	.	.	PUNCT
fumecheng-5297	124	1	2a	2a	NUM
fumecheng-5297	124	2	is	be	AUX
fumecheng-5297	124	3	(	(	PUNCT
fumecheng-5297	124	4	p3)max=0.07	p3)max=0.07	X
fumecheng-5297	124	5	.	.	PUNCT
fumecheng-5297	124	6	fig	fig	NOUN
fumecheng-5297	124	7	.	.	PUNCT
fumecheng-5297	125	1	3	3	NUM
fumecheng-5297	125	2	illustrates	illustrate	VERB
fumecheng-5297	125	3	the	the	DET
fumecheng-5297	125	4	contact	contact	NOUN
fumecheng-5297	125	5	pressure	pressure	NOUN
fumecheng-5297	125	6	distributions	distribution	NOUN
fumecheng-5297	125	7	calculated	calculate	VERB
fumecheng-5297	125	8	for	for	ADP
fumecheng-5297	125	9	relatively	relatively	ADV
fumecheng-5297	125	10	soft	soft	ADJ
fumecheng-5297	125	11	coatings	coating	NOUN
fumecheng-5297	125	12	characterized	characterize	VERB
fumecheng-5297	125	13	by	by	ADP
fumecheng-5297	125	14	the	the	DET
fumecheng-5297	125	15	different	different	ADJ
fumecheng-5297	125	16	poisson	poisson	NOUN
fumecheng-5297	125	17	ratio	ratio	NOUN
fumecheng-5297	125	18	.	.	PUNCT
fumecheng-5297	126	1	the	the	DET
fumecheng-5297	126	2	chosen	chosen	PROPN
fumecheng-5297	126	3	cross	cross	PROPN
fumecheng-5297	126	4	section	section	NOUN
fumecheng-5297	126	5	provides	provide	VERB
fumecheng-5297	126	6	the	the	DET
fumecheng-5297	126	7	maximum	maximum	ADJ
fumecheng-5297	126	8	size	size	NOUN
fumecheng-5297	126	9	of	of	ADP
fumecheng-5297	126	10	the	the	DET
fumecheng-5297	126	11	contact	contact	NOUN
fumecheng-5297	126	12	spot	spot	NOUN
fumecheng-5297	126	13	.	.	PUNCT
fumecheng-5297	127	1	the	the	DET
fumecheng-5297	127	2	difference	difference	NOUN
fumecheng-5297	127	3	of	of	ADP
fumecheng-5297	127	4	maximal	maximal	ADJ
fumecheng-5297	127	5	and	and	CCONJ
fumecheng-5297	127	6	minimal	minimal	ADJ
fumecheng-5297	127	7	distance	distance	NOUN
fumecheng-5297	127	8	from	from	ADP
fumecheng-5297	127	9	the	the	DET
fumecheng-5297	127	10	center	center	NOUN
fumecheng-5297	127	11	of	of	ADP
fumecheng-5297	127	12	the	the	DET
fumecheng-5297	127	13	contact	contact	NOUN
fumecheng-5297	127	14	zone	zone	NOUN
fumecheng-5297	127	15	to	to	ADP
fumecheng-5297	127	16	the	the	DET
fumecheng-5297	127	17	boundary	boundary	NOUN
fumecheng-5297	127	18	,	,	PUNCT
fumecheng-5297	127	19	which	which	PRON
fumecheng-5297	127	20	characterizes	characterize	VERB
fumecheng-5297	127	21	asymmetry	asymmetry	NOUN
fumecheng-5297	127	22	due	due	ADP
fumecheng-5297	127	23	to	to	ADP
fumecheng-5297	127	24	the	the	DET
fumecheng-5297	127	25	mutual	mutual	ADJ
fumecheng-5297	127	26	effect	effect	NOUN
fumecheng-5297	127	27	,	,	PUNCT
fumecheng-5297	127	28	is	be	AUX
fumecheng-5297	127	29	12	12	NUM
fumecheng-5297	127	30	percent	percent	NOUN
fumecheng-5297	127	31	for	for	ADP
fumecheng-5297	127	32	the	the	DET
fumecheng-5297	127	33	third	third	ADJ
fumecheng-5297	127	34	level	level	NOUN
fumecheng-5297	127	35	(	(	PUNCT
fumecheng-5297	127	36	curve	curve	NOUN
fumecheng-5297	127	37	3	3	NUM
fumecheng-5297	127	38	)	)	PUNCT
fumecheng-5297	127	39	;	;	PUNCT
fumecheng-5297	127	40	the	the	DET
fumecheng-5297	127	41	difference	difference	NOUN
fumecheng-5297	127	42	is	be	AUX
fumecheng-5297	127	43	smaller	small	ADJ
fumecheng-5297	127	44	for	for	ADP
fumecheng-5297	127	45	the	the	DET
fumecheng-5297	127	46	first	first	ADJ
fumecheng-5297	127	47	and	and	CCONJ
fumecheng-5297	127	48	the	the	DET
fumecheng-5297	127	49	second	second	ADJ
fumecheng-5297	127	50	levels	level	NOUN
fumecheng-5297	127	51	.	.	PUNCT
fumecheng-5297	128	1	contact	contact	NOUN
fumecheng-5297	128	2	spots	spot	NOUN
fumecheng-5297	128	3	for	for	ADP
fumecheng-5297	128	4	the	the	DET
fumecheng-5297	128	5	first	first	ADJ
fumecheng-5297	128	6	level	level	NOUN
fumecheng-5297	128	7	hereinafter	hereinafter	NOUN
fumecheng-5297	128	8	are	be	AUX
fumecheng-5297	128	9	almost	almost	ADV
fumecheng-5297	128	10	axisymmetric	axisymmetric	ADJ
fumecheng-5297	128	11	.	.	PUNCT
fumecheng-5297	129	1	comparison	comparison	NOUN
fumecheng-5297	129	2	with	with	ADP
fumecheng-5297	129	3	pressure	pressure	NOUN
fumecheng-5297	129	4	distributions	distribution	NOUN
fumecheng-5297	129	5	obtained	obtain	VERB
fumecheng-5297	129	6	for	for	ADP
fumecheng-5297	129	7	isolated	isolated	ADJ
fumecheng-5297	129	8	indenters	indenter	NOUN
fumecheng-5297	129	9	loaded	load	VERB
fumecheng-5297	129	10	by	by	ADP
fumecheng-5297	129	11	the	the	DET
fumecheng-5297	129	12	same	same	ADJ
fumecheng-5297	129	13	forces	force	NOUN
fumecheng-5297	129	14	(	(	PUNCT
fumecheng-5297	129	15	dashed	dash	VERB
fumecheng-5297	129	16	lines	line	NOUN
fumecheng-5297	129	17	in	in	ADP
fumecheng-5297	129	18	fig	fig	NOUN
fumecheng-5297	129	19	.	.	PUNCT
fumecheng-5297	130	1	3a	3a	NUM
fumecheng-5297	130	2	,	,	PUNCT
fumecheng-5297	130	3	b	b	NOUN
fumecheng-5297	130	4	)	)	PUNCT
fumecheng-5297	130	5	leads	lead	VERB
fumecheng-5297	130	6	to	to	ADP
fumecheng-5297	130	7	conclusion	conclusion	NOUN
fumecheng-5297	130	8	that	that	SCONJ
fumecheng-5297	130	9	for	for	ADP
fumecheng-5297	130	10	the	the	DET
fumecheng-5297	130	11	case	case	NOUN
fumecheng-5297	130	12	of	of	ADP
fumecheng-5297	130	13	relatively	relatively	ADV
fumecheng-5297	130	14	soft	soft	ADJ
fumecheng-5297	130	15	low	low	ADJ
fumecheng-5297	130	16	-	-	PUNCT
fumecheng-5297	130	17	compressive	compressive	ADJ
fumecheng-5297	130	18	coatings	coating	NOUN
fumecheng-5297	130	19	(	(	PUNCT
fumecheng-5297	130	20	1=0.45	1=0.45	NOUN
fumecheng-5297	130	21	)	)	PUNCT
fumecheng-5297	130	22	mutual	mutual	ADJ
fumecheng-5297	130	23	effect	effect	NOUN
fumecheng-5297	130	24	is	be	AUX
fumecheng-5297	130	25	strong	strong	ADJ
fumecheng-5297	130	26	(	(	PUNCT
fumecheng-5297	130	27	see	see	VERB
fumecheng-5297	130	28	also	also	ADV
fumecheng-5297	130	29	table	table	VERB
fumecheng-5297	130	30	1	1	NUM
fumecheng-5297	130	31	)	)	PUNCT
fumecheng-5297	130	32	,	,	PUNCT
fumecheng-5297	130	33	but	but	CCONJ
fumecheng-5297	130	34	for	for	ADP
fumecheng-5297	130	35	1=0.2	1=0.2	PROPN
fumecheng-5297	130	36	it	it	PRON
fumecheng-5297	130	37	is	be	AUX
fumecheng-5297	130	38	negligible	negligible	ADJ
fumecheng-5297	130	39	.	.	PUNCT
fumecheng-5297	131	1	contact	contact	NOUN
fumecheng-5297	131	2	of	of	ADP
fumecheng-5297	131	3	multi	multi	ADJ
fumecheng-5297	131	4	-	-	ADJ
fumecheng-5297	131	5	level	level	ADJ
fumecheng-5297	131	6	periodic	periodic	ADJ
fumecheng-5297	131	7	system	system	NOUN
fumecheng-5297	131	8	of	of	ADP
fumecheng-5297	131	9	indenters	indenter	NOUN
fumecheng-5297	131	10	with	with	ADP
fumecheng-5297	131	11	coated	coated	ADJ
fumecheng-5297	131	12	elastic	elastic	ADJ
fumecheng-5297	131	13	half	half	ADJ
fumecheng-5297	131	14	-	-	PUNCT
fumecheng-5297	131	15	space	space	NOUN
fumecheng-5297	131	16	155	155	NUM
fumecheng-5297	131	17	a	a	PRON
fumecheng-5297	131	18	)	)	PUNCT
fumecheng-5297	131	19	b	b	NOUN
fumecheng-5297	131	20	)	)	PUNCT
fumecheng-5297	131	21	fig	fig	NOUN
fumecheng-5297	131	22	.	.	PUNCT
fumecheng-5297	132	1	2	2	NUM
fumecheng-5297	132	2	contact	contact	NOUN
fumecheng-5297	132	3	pressure	pressure	NOUN
fumecheng-5297	132	4	distribution	distribution	NOUN
fumecheng-5297	132	5	(	(	PUNCT
fumecheng-5297	132	6	a	a	X
fumecheng-5297	132	7	)	)	PUNCT
fumecheng-5297	132	8	and	and	CCONJ
fumecheng-5297	132	9	contact	contact	NOUN
fumecheng-5297	132	10	spot	spot	NOUN
fumecheng-5297	132	11	(	(	PUNCT
fumecheng-5297	132	12	b	b	NOUN
fumecheng-5297	132	13	)	)	PUNCT
fumecheng-5297	132	14	for	for	ADP
fumecheng-5297	132	15	the	the	DET
fumecheng-5297	132	16	3	3	NUM
fumecheng-5297	132	17	rd	rd	NOUN
fumecheng-5297	132	18	level	level	NOUN
fumecheng-5297	132	19	of	of	ADP
fumecheng-5297	132	20	indenters	indenter	NOUN
fumecheng-5297	132	21	:	:	PUNCT
fumecheng-5297	132	22	=2	=2	PROPN
fumecheng-5297	132	23	,	,	PUNCT
fumecheng-5297	132	24	h	h	NOUN
fumecheng-5297	132	25	/	/	SYM
fumecheng-5297	132	26	l=0.5	l=0.5	VERB
fumecheng-5297	132	27	,	,	PUNCT
fumecheng-5297	132	28	(	(	PUNCT
fumecheng-5297	132	29	h1h2)/l=(h2h3)/l=0.01	h1h2)/l=(h2h3)/l=0.01	PROPN
fumecheng-5297	132	30	,	,	PUNCT
fumecheng-5297	132	31	3	3	NUM
fumecheng-5297	132	32	'	'	PART
fumecheng-5297	132	33	0.06p	0.06p	NUM
fumecheng-5297	132	34			NOUN
fumecheng-5297	132	35	)	)	PUNCT
fumecheng-5297	132	36	,	,	PUNCT
fumecheng-5297	132	37	1=0.2	1=0.2	PROPN
fumecheng-5297	132	38	,	,	PUNCT
fumecheng-5297	132	39	2=0.3	2=0.3	PROPN
fumecheng-5297	132	40	,	,	PUNCT
fumecheng-5297	132	41	r1=	r1=	VERB
fumecheng-5297	132	42	r2=	r2=	PROPN
fumecheng-5297	132	43	r3=0.8	r3=0.8	ADJ
fumecheng-5297	132	44	a	a	DET
fumecheng-5297	132	45	)	)	PUNCT
fumecheng-5297	132	46	b	b	NOUN
fumecheng-5297	132	47	)	)	PUNCT
fumecheng-5297	132	48	fig	fig	NOUN
fumecheng-5297	132	49	.	.	PUNCT
fumecheng-5297	133	1	3	3	NUM
fumecheng-5297	133	2	pressure	pressure	NOUN
fumecheng-5297	133	3	distribution	distribution	NOUN
fumecheng-5297	133	4	under	under	ADP
fumecheng-5297	133	5	indenters	indenter	NOUN
fumecheng-5297	133	6	of	of	ADP
fumecheng-5297	133	7	levels	level	NOUN
fumecheng-5297	133	8	13	13	NUM
fumecheng-5297	133	9	(	(	PUNCT
fumecheng-5297	133	10	curves	curve	NOUN
fumecheng-5297	133	11	1	1	NUM
fumecheng-5297	133	12	-	-	SYM
fumecheng-5297	133	13	3	3	NUM
fumecheng-5297	133	14	respectively	respectively	ADV
fumecheng-5297	133	15	)	)	PUNCT
fumecheng-5297	133	16	for	for	ADP
fumecheng-5297	133	17	relatively	relatively	ADV
fumecheng-5297	133	18	soft	soft	ADJ
fumecheng-5297	133	19	coatings	coating	NOUN
fumecheng-5297	133	20	=0.5	=0.5	NUM
fumecheng-5297	133	21	,	,	PUNCT
fumecheng-5297	133	22	h	h	NOUN
fumecheng-5297	133	23	/	/	SYM
fumecheng-5297	133	24	l=0.5	l=0.5	VERB
fumecheng-5297	133	25	with	with	ADP
fumecheng-5297	133	26	1=0.45	1=0.45	X
fumecheng-5297	133	27	(	(	PUNCT
fumecheng-5297	133	28	a	a	NOUN
fumecheng-5297	133	29	)	)	PUNCT
fumecheng-5297	133	30	,	,	PUNCT
fumecheng-5297	133	31	1=0.2	1=0.2	PROPN
fumecheng-5297	133	32	(	(	PUNCT
fumecheng-5297	133	33	b	b	NOUN
fumecheng-5297	133	34	):	):	PUNCT
fumecheng-5297	133	35	2=0.3	2=0.3	PROPN
fumecheng-5297	133	36	,	,	PUNCT
fumecheng-5297	133	37	(	(	PUNCT
fumecheng-5297	133	38	h1h2)/l=(h2h3)/l=0.01	h1h2)/l=(h2h3)/l=0.01	PROPN
fumecheng-5297	133	39	,	,	PUNCT
fumecheng-5297	133	40	r1=	r1=	VERB
fumecheng-5297	133	41	r2=	r2=	PROPN
fumecheng-5297	133	42	r3=0.8	r3=0.8	ADJ
fumecheng-5297	133	43	,	,	PUNCT
fumecheng-5297	133	44	3	3	NUM
fumecheng-5297	133	45	'	'	PART
fumecheng-5297	133	46	0.008p	0.008p	NOUN
fumecheng-5297	133	47			NUM
fumecheng-5297	133	48	table	table	NOUN
fumecheng-5297	133	49	1	1	NUM
fumecheng-5297	133	50	maximal	maximal	ADJ
fumecheng-5297	133	51	values	value	NOUN
fumecheng-5297	133	52	of	of	ADP
fumecheng-5297	133	53	contact	contact	NOUN
fumecheng-5297	133	54	pressure	pressure	NOUN
fumecheng-5297	133	55	related	relate	VERB
fumecheng-5297	133	56	to	to	ADP
fumecheng-5297	133	57	e2	e2	PROPN
fumecheng-5297	133	58	(	(	PUNCT
fumecheng-5297	133	59	results	result	NOUN
fumecheng-5297	133	60	from	from	ADP
fumecheng-5297	133	61	fig	fig	NOUN
fumecheng-5297	133	62	.	.	PUNCT
fumecheng-5297	134	1	3a	3a	NUM
fumecheng-5297	134	2	)	)	PUNCT
fumecheng-5297	134	3	1=0.45	1=0.45	VERB
fumecheng-5297	134	4	1=0.2	1=0.2	PROPN
fumecheng-5297	134	5	calculation	calculation	NOUN
fumecheng-5297	134	6	with	with	ADP
fumecheng-5297	134	7	mutual	mutual	ADJ
fumecheng-5297	134	8	effect	effect	NOUN
fumecheng-5297	134	9	isolated	isolate	VERB
fumecheng-5297	134	10	indenters	indenter	NOUN
fumecheng-5297	134	11	calculation	calculation	NOUN
fumecheng-5297	134	12	with	with	ADP
fumecheng-5297	134	13	mutual	mutual	ADJ
fumecheng-5297	134	14	effect	effect	NOUN
fumecheng-5297	134	15	isolated	isolate	VERB
fumecheng-5297	134	16	indenters	indenter	NOUN
fumecheng-5297	134	17	level	level	VERB
fumecheng-5297	134	18	1	1	NUM
fumecheng-5297	134	19	0.356	0.356	NUM
fumecheng-5297	135	1	0.312	0.312	NUM
fumecheng-5297	135	2	0.320	0.320	NUM
fumecheng-5297	135	3	0.311	0.311	NUM
fumecheng-5297	135	4	level	level	NOUN
fumecheng-5297	135	5	2	2	NUM
fumecheng-5297	135	6	0.298	0.298	NUM
fumecheng-5297	135	7	0.289	0.289	NUM
fumecheng-5297	135	8	0.288	0.288	NUM
fumecheng-5297	135	9	0.287	0.287	NUM
fumecheng-5297	135	10	level	level	NOUN
fumecheng-5297	135	11	3	3	NUM
fumecheng-5297	135	12	0.191	0.191	NUM
fumecheng-5297	135	13	0.232	0.232	NUM
fumecheng-5297	135	14	0.213	0.213	NUM
fumecheng-5297	135	15	0.230	0.230	NUM
fumecheng-5297	135	16	156	156	NUM
fumecheng-5297	135	17	i.	i.	PROPN
fumecheng-5297	135	18	goryacheva	goryacheva	PROPN
fumecheng-5297	135	19	,	,	PUNCT
fumecheng-5297	135	20	e.	e.	PROPN
fumecheng-5297	135	21	torskaya	torskaya	PROPN
fumecheng-5297	135	22	fig	fig	PROPN
fumecheng-5297	135	23	.	.	PUNCT
fumecheng-5297	136	1	4a	4a	NOUN
fumecheng-5297	136	2	illustrates	illustrate	VERB
fumecheng-5297	136	3	the	the	DET
fumecheng-5297	136	4	results	result	NOUN
fumecheng-5297	136	5	of	of	ADP
fumecheng-5297	136	6	calculation	calculation	NOUN
fumecheng-5297	136	7	of	of	ADP
fumecheng-5297	136	8	the	the	DET
fumecheng-5297	136	9	additional	additional	ADJ
fumecheng-5297	136	10	displacement	displacement	NOUN
fumecheng-5297	136	11	function	function	NOUN
fumecheng-5297	136	12	(	(	PUNCT
fumecheng-5297	136	13	8)	8)	NUM
fumecheng-5297	136	14	for	for	ADP
fumecheng-5297	136	15	relatively	relatively	ADV
fumecheng-5297	136	16	hard	hard	ADJ
fumecheng-5297	136	17	coating	coating	NOUN
fumecheng-5297	136	18	of	of	ADP
fumecheng-5297	136	19	various	various	ADJ
fumecheng-5297	136	20	thicknesses	thickness	NOUN
fumecheng-5297	136	21	:	:	PUNCT
fumecheng-5297	136	22	h	h	NUM
fumecheng-5297	136	23	/	/	SYM
fumecheng-5297	136	24	l=0.12	l=0.12	NOUN
fumecheng-5297	136	25	(	(	PUNCT
fumecheng-5297	136	26	curves	curve	NOUN
fumecheng-5297	136	27	1,1	1,1	NUM
fumecheng-5297	136	28	’	'	PUNCT
fumecheng-5297	136	29	)	)	PUNCT
fumecheng-5297	136	30	and	and	CCONJ
fumecheng-5297	136	31	h	h	NOUN
fumecheng-5297	136	32	/	/	SYM
fumecheng-5297	136	33	l=0.24	l=0.24	X
fumecheng-5297	136	34	(	(	PUNCT
fumecheng-5297	136	35	curves	curve	NOUN
fumecheng-5297	136	36	2,2	2,2	NOUN
fumecheng-5297	136	37	’	'	PUNCT
fumecheng-5297	136	38	)	)	PUNCT
fumecheng-5297	136	39	in	in	ADP
fumecheng-5297	136	40	the	the	DET
fumecheng-5297	136	41	cases	case	NOUN
fumecheng-5297	136	42	of	of	ADP
fumecheng-5297	136	43	three	three	NUM
fumecheng-5297	136	44	level	level	NOUN
fumecheng-5297	136	45	model	model	NOUN
fumecheng-5297	136	46	(	(	PUNCT
fumecheng-5297	136	47	curves	curve	NOUN
fumecheng-5297	136	48	1	1	NUM
fumecheng-5297	136	49	and	and	CCONJ
fumecheng-5297	136	50	2	2	NUM
fumecheng-5297	136	51	)	)	PUNCT
fumecheng-5297	136	52	and	and	CCONJ
fumecheng-5297	136	53	one	one	NUM
fumecheng-5297	136	54	-	-	PUNCT
fumecheng-5297	136	55	level	level	NOUN
fumecheng-5297	136	56	model	model	NOUN
fumecheng-5297	136	57	(	(	PUNCT
fumecheng-5297	136	58	curves	curve	NOUN
fumecheng-5297	136	59	1	1	NUM
fumecheng-5297	136	60	’	'	PUNCT
fumecheng-5297	136	61	and	and	CCONJ
fumecheng-5297	136	62	2	2	NUM
fumecheng-5297	136	63	’	'	PUNCT
fumecheng-5297	136	64	)	)	PUNCT
fumecheng-5297	136	65	.	.	PUNCT
fumecheng-5297	137	1	the	the	DET
fumecheng-5297	137	2	results	result	NOUN
fumecheng-5297	137	3	indicate	indicate	VERB
fumecheng-5297	137	4	that	that	SCONJ
fumecheng-5297	137	5	in	in	ADP
fumecheng-5297	137	6	the	the	DET
fumecheng-5297	137	7	case	case	NOUN
fumecheng-5297	137	8	of	of	ADP
fumecheng-5297	137	9	hard	hard	ADJ
fumecheng-5297	137	10	coatings	coating	NOUN
fumecheng-5297	137	11	at	at	ADP
fumecheng-5297	137	12	the	the	DET
fumecheng-5297	137	13	softer	soft	ADJ
fumecheng-5297	137	14	substrate	substrate	NOUN
fumecheng-5297	137	15	the	the	DET
fumecheng-5297	137	16	additional	additional	ADJ
fumecheng-5297	137	17	displacement	displacement	NOUN
fumecheng-5297	137	18	for	for	ADP
fumecheng-5297	137	19	three	three	NUM
fumecheng-5297	137	20	level	level	NOUN
fumecheng-5297	137	21	asperities	asperity	NOUN
fumecheng-5297	137	22	distribution	distribution	NOUN
fumecheng-5297	137	23	is	be	AUX
fumecheng-5297	137	24	higher	high	ADJ
fumecheng-5297	137	25	than	than	ADP
fumecheng-5297	137	26	for	for	ADP
fumecheng-5297	137	27	the	the	DET
fumecheng-5297	137	28	one	one	NUM
fumecheng-5297	137	29	level	level	NOUN
fumecheng-5297	137	30	model	model	NOUN
fumecheng-5297	137	31	under	under	ADP
fumecheng-5297	137	32	the	the	DET
fumecheng-5297	137	33	same	same	ADJ
fumecheng-5297	137	34	nominal	nominal	ADJ
fumecheng-5297	137	35	pressure	pressure	NOUN
fumecheng-5297	137	36	.	.	PUNCT
fumecheng-5297	138	1	decreasing	decrease	VERB
fumecheng-5297	138	2	the	the	DET
fumecheng-5297	138	3	coating	coat	VERB
fumecheng-5297	138	4	thickness	thickness	NOUN
fumecheng-5297	138	5	leads	lead	VERB
fumecheng-5297	138	6	to	to	ADP
fumecheng-5297	138	7	increasing	increase	VERB
fumecheng-5297	138	8	of	of	ADP
fumecheng-5297	138	9	the	the	DET
fumecheng-5297	138	10	additional	additional	ADJ
fumecheng-5297	138	11	displacements	displacement	NOUN
fumecheng-5297	138	12	.	.	PUNCT
fumecheng-5297	139	1	it	it	PRON
fumecheng-5297	139	2	is	be	AUX
fumecheng-5297	139	3	interesting	interesting	ADJ
fumecheng-5297	139	4	to	to	PART
fumecheng-5297	139	5	note	note	VERB
fumecheng-5297	139	6	that	that	SCONJ
fumecheng-5297	139	7	for	for	ADP
fumecheng-5297	139	8	the	the	DET
fumecheng-5297	139	9	case	case	NOUN
fumecheng-5297	139	10	of	of	ADP
fumecheng-5297	139	11	relatively	relatively	ADV
fumecheng-5297	139	12	thick	thick	ADJ
fumecheng-5297	139	13	coatings	coating	NOUN
fumecheng-5297	139	14	the	the	DET
fumecheng-5297	139	15	difference	difference	NOUN
fumecheng-5297	139	16	between	between	ADP
fumecheng-5297	139	17	curves	curve	NOUN
fumecheng-5297	139	18	2	2	NUM
fumecheng-5297	139	19	and	and	CCONJ
fumecheng-5297	139	20	2	2	NUM
fumecheng-5297	139	21	'	'	PUNCT
fumecheng-5297	139	22	(	(	PUNCT
fumecheng-5297	139	23	representing	represent	VERB
fumecheng-5297	139	24	different	different	ADJ
fumecheng-5297	139	25	models	model	NOUN
fumecheng-5297	139	26	)	)	PUNCT
fumecheng-5297	139	27	is	be	AUX
fumecheng-5297	139	28	greater	great	ADJ
fumecheng-5297	139	29	than	than	ADP
fumecheng-5297	139	30	for	for	ADP
fumecheng-5297	139	31	thinner	thin	ADJ
fumecheng-5297	139	32	coatings	coating	NOUN
fumecheng-5297	139	33	(	(	PUNCT
fumecheng-5297	139	34	curves	curve	NOUN
fumecheng-5297	139	35	1	1	NUM
fumecheng-5297	139	36	and	and	CCONJ
fumecheng-5297	139	37	1	1	NUM
fumecheng-5297	139	38	'	'	PUNCT
fumecheng-5297	139	39	respectively	respectively	ADV
fumecheng-5297	139	40	)	)	PUNCT
fumecheng-5297	139	41	.	.	PUNCT
fumecheng-5297	140	1	to	to	PART
fumecheng-5297	140	2	analyze	analyze	VERB
fumecheng-5297	140	3	the	the	DET
fumecheng-5297	140	4	mutual	mutual	ADJ
fumecheng-5297	140	5	effect	effect	NOUN
fumecheng-5297	140	6	we	we	PRON
fumecheng-5297	140	7	calculated	calculate	VERB
fumecheng-5297	140	8	the	the	DET
fumecheng-5297	140	9	additional	additional	ADJ
fumecheng-5297	140	10	displacement	displacement	NOUN
fumecheng-5297	140	11	function	function	NOUN
fumecheng-5297	140	12	ignoring	ignore	VERB
fumecheng-5297	140	13	the	the	DET
fumecheng-5297	140	14	surface	surface	NOUN
fumecheng-5297	140	15	displacements	displacement	NOUN
fumecheng-5297	140	16	outside	outside	ADP
fumecheng-5297	140	17	the	the	DET
fumecheng-5297	140	18	contact	contact	NOUN
fumecheng-5297	140	19	regions	region	NOUN
fumecheng-5297	140	20	(	(	PUNCT
fumecheng-5297	140	21	neglecting	neglect	VERB
fumecheng-5297	140	22	mutual	mutual	ADJ
fumecheng-5297	140	23	effect	effect	NOUN
fumecheng-5297	140	24	)	)	PUNCT
fumecheng-5297	140	25	,	,	PUNCT
fumecheng-5297	140	26	but	but	CCONJ
fumecheng-5297	140	27	taking	take	VERB
fumecheng-5297	140	28	into	into	ADP
fumecheng-5297	140	29	account	account	NOUN
fumecheng-5297	140	30	equilibrium	equilibrium	NOUN
fumecheng-5297	140	31	conditions	condition	NOUN
fumecheng-5297	140	32	.	.	PUNCT
fumecheng-5297	141	1	the	the	DET
fumecheng-5297	141	2	results	result	NOUN
fumecheng-5297	141	3	of	of	ADP
fumecheng-5297	141	4	calculations	calculation	NOUN
fumecheng-5297	141	5	are	be	AUX
fumecheng-5297	141	6	presented	present	VERB
fumecheng-5297	141	7	in	in	ADP
fumecheng-5297	141	8	fig	fig	NOUN
fumecheng-5297	141	9	.	.	PUNCT
fumecheng-5297	142	1	4b	4b	PROPN
fumecheng-5297	142	2	(	(	PUNCT
fumecheng-5297	142	3	solid	solid	ADJ
fumecheng-5297	142	4	curves	curve	NOUN
fumecheng-5297	142	5	1	1	NUM
fumecheng-5297	142	6	and	and	CCONJ
fumecheng-5297	142	7	2	2	NUM
fumecheng-5297	142	8	are	be	AUX
fumecheng-5297	142	9	the	the	DET
fumecheng-5297	142	10	same	same	ADJ
fumecheng-5297	142	11	as	as	ADP
fumecheng-5297	142	12	in	in	ADP
fumecheng-5297	142	13	fig	fig	NOUN
fumecheng-5297	142	14	.	.	PUNCT
fumecheng-5297	143	1	4a	4a	NOUN
fumecheng-5297	143	2	,	,	PUNCT
fumecheng-5297	143	3	dashed	dash	VERB
fumecheng-5297	143	4	curves	curve	NOUN
fumecheng-5297	143	5	are	be	AUX
fumecheng-5297	143	6	calculated	calculate	VERB
fumecheng-5297	143	7	neglecting	neglect	VERB
fumecheng-5297	143	8	mutual	mutual	ADJ
fumecheng-5297	143	9	effect	effect	NOUN
fumecheng-5297	143	10	)	)	PUNCT
fumecheng-5297	143	11	.	.	PUNCT
fumecheng-5297	144	1	there	there	PRON
fumecheng-5297	144	2	is	be	VERB
fumecheng-5297	144	3	an	an	DET
fumecheng-5297	144	4	essential	essential	ADJ
fumecheng-5297	144	5	difference	difference	NOUN
fumecheng-5297	144	6	between	between	ADP
fumecheng-5297	144	7	the	the	DET
fumecheng-5297	144	8	curves	curve	NOUN
fumecheng-5297	144	9	.	.	PUNCT
fumecheng-5297	145	1	the	the	DET
fumecheng-5297	145	2	penetration	penetration	NOUN
fumecheng-5297	145	3	calculated	calculate	VERB
fumecheng-5297	145	4	without	without	ADP
fumecheng-5297	145	5	mutual	mutual	ADJ
fumecheng-5297	145	6	effect	effect	NOUN
fumecheng-5297	145	7	is	be	AUX
fumecheng-5297	145	8	greater	great	ADJ
fumecheng-5297	145	9	.	.	PUNCT
fumecheng-5297	146	1	so	so	ADV
fumecheng-5297	146	2	neglecting	neglect	VERB
fumecheng-5297	146	3	the	the	DET
fumecheng-5297	146	4	mutual	mutual	ADJ
fumecheng-5297	146	5	effect	effect	NOUN
fumecheng-5297	146	6	gives	give	VERB
fumecheng-5297	146	7	the	the	DET
fumecheng-5297	146	8	overestimate	overestimate	NOUN
fumecheng-5297	146	9	of	of	ADP
fumecheng-5297	146	10	additional	additional	ADJ
fumecheng-5297	146	11	displacement	displacement	NOUN
fumecheng-5297	146	12	due	due	ADP
fumecheng-5297	146	13	to	to	ADP
fumecheng-5297	146	14	roughness	roughness	NOUN
fumecheng-5297	146	15	.	.	PUNCT
fumecheng-5297	147	1	a	a	DET
fumecheng-5297	147	2	)	)	PUNCT
fumecheng-5297	147	3	b	b	NOUN
fumecheng-5297	147	4	)	)	PUNCT
fumecheng-5297	147	5	fig	fig	NOUN
fumecheng-5297	147	6	.	.	PUNCT
fumecheng-5297	148	1	4	4	NUM
fumecheng-5297	148	2	dependence	dependence	NOUN
fumecheng-5297	148	3	of	of	ADP
fumecheng-5297	148	4	the	the	DET
fumecheng-5297	148	5	additional	additional	ADJ
fumecheng-5297	148	6	normal	normal	ADJ
fumecheng-5297	148	7	displacements	displacement	NOUN
fumecheng-5297	148	8	on	on	ADP
fumecheng-5297	148	9	nominal	nominal	ADJ
fumecheng-5297	148	10	pressures	pressure	NOUN
fumecheng-5297	148	11	for	for	ADP
fumecheng-5297	148	12	one	one	NUM
fumecheng-5297	148	13	-	-	PUNCT
fumecheng-5297	148	14	level	level	NOUN
fumecheng-5297	148	15	and	and	CCONJ
fumecheng-5297	148	16	three	three	NUM
fumecheng-5297	148	17	-	-	PUNCT
fumecheng-5297	148	18	level	level	NOUN
fumecheng-5297	148	19	models	model	NOUN
fumecheng-5297	148	20	(	(	PUNCT
fumecheng-5297	148	21	a	a	X
fumecheng-5297	148	22	)	)	PUNCT
fumecheng-5297	148	23	and	and	CCONJ
fumecheng-5297	148	24	comparison	comparison	NOUN
fumecheng-5297	148	25	of	of	ADP
fumecheng-5297	148	26	the	the	DET
fumecheng-5297	148	27	dependences	dependence	NOUN
fumecheng-5297	148	28	for	for	ADP
fumecheng-5297	148	29	three	three	NUM
fumecheng-5297	148	30	level	level	NOUN
fumecheng-5297	148	31	model	model	NOUN
fumecheng-5297	148	32	with	with	ADP
fumecheng-5297	148	33	ones	one	NOUN
fumecheng-5297	148	34	(	(	PUNCT
fumecheng-5297	148	35	curves	curve	NOUN
fumecheng-5297	148	36	1	1	NUM
fumecheng-5297	148	37	’	'	PUNCT
fumecheng-5297	148	38	and	and	CCONJ
fumecheng-5297	148	39	2	2	NUM
fumecheng-5297	148	40	’	'	PUNCT
fumecheng-5297	148	41	)	)	PUNCT
fumecheng-5297	148	42	calculated	calculate	VERB
fumecheng-5297	148	43	neglecting	neglect	VERB
fumecheng-5297	148	44	mutual	mutual	ADJ
fumecheng-5297	148	45	effect	effect	NOUN
fumecheng-5297	148	46	(	(	PUNCT
fumecheng-5297	148	47	b	b	NOUN
fumecheng-5297	148	48	):	):	PUNCT
fumecheng-5297	148	49	h	h	NOUN
fumecheng-5297	148	50	/	/	SYM
fumecheng-5297	148	51	l=0.12	l=0.12	NOUN
fumecheng-5297	148	52	(	(	PUNCT
fumecheng-5297	148	53	curves	curve	NOUN
fumecheng-5297	148	54	1	1	NUM
fumecheng-5297	148	55	,	,	PUNCT
fumecheng-5297	148	56	3	3	NUM
fumecheng-5297	148	57	)	)	PUNCT
fumecheng-5297	148	58	,	,	PUNCT
fumecheng-5297	148	59	h	h	NOUN
fumecheng-5297	148	60	/	/	SYM
fumecheng-5297	148	61	l=0.24	l=0.24	X
fumecheng-5297	148	62	(	(	PUNCT
fumecheng-5297	148	63	curves	curve	NOUN
fumecheng-5297	148	64	2	2	NUM
fumecheng-5297	148	65	,	,	PUNCT
fumecheng-5297	148	66	4	4	NUM
fumecheng-5297	148	67	)	)	PUNCT
fumecheng-5297	148	68	,	,	PUNCT
fumecheng-5297	148	69	(	(	PUNCT
fumecheng-5297	148	70	h1h2)/l=(h2h3)/l=0.01	h1h2)/l=(h2h3)/l=0.01	X
fumecheng-5297	148	71	(	(	PUNCT
fumecheng-5297	148	72	curves	curve	NOUN
fumecheng-5297	148	73	1	1	NUM
fumecheng-5297	148	74	,	,	PUNCT
fumecheng-5297	148	75	2	2	NUM
fumecheng-5297	148	76	)	)	PUNCT
fumecheng-5297	148	77	,	,	PUNCT
fumecheng-5297	148	78	(	(	PUNCT
fumecheng-5297	148	79	h1h2)/l=(h2h3)/l=0	h1h2)/l=(h2h3)/l=0	X
fumecheng-5297	148	80	(	(	PUNCT
fumecheng-5297	148	81	curves	curve	NOUN
fumecheng-5297	148	82	3,4	3,4	NUM
fumecheng-5297	148	83	)	)	PUNCT
fumecheng-5297	148	84	,	,	PUNCT
fumecheng-5297	148	85	=02	=02	NOUN
fumecheng-5297	148	86	,	,	PUNCT
fumecheng-5297	148	87	1=0.22	1=0.22	PROPN
fumecheng-5297	148	88	,	,	PUNCT
fumecheng-5297	148	89	2=0.3	2=0.3	PROPN
fumecheng-5297	148	90	,	,	PUNCT
fumecheng-5297	148	91	r1=	r1=	VERB
fumecheng-5297	148	92	r2=	r2=	PROPN
fumecheng-5297	148	93	r3=0.8	r3=0.8	ADJ
fumecheng-5297	148	94	the	the	DET
fumecheng-5297	148	95	results	result	NOUN
fumecheng-5297	148	96	presented	present	VERB
fumecheng-5297	148	97	in	in	ADP
fumecheng-5297	148	98	fig	fig	NOUN
fumecheng-5297	148	99	.	.	PUNCT
fumecheng-5297	149	1	5	5	NUM
fumecheng-5297	149	2	give	give	VERB
fumecheng-5297	149	3	a	a	DET
fumecheng-5297	149	4	possibility	possibility	NOUN
fumecheng-5297	149	5	to	to	PART
fumecheng-5297	149	6	analyze	analyze	VERB
fumecheng-5297	149	7	the	the	DET
fumecheng-5297	149	8	influence	influence	NOUN
fumecheng-5297	149	9	of	of	ADP
fumecheng-5297	149	10	nominal	nominal	ADJ
fumecheng-5297	149	11	pressure	pressure	NOUN
fumecheng-5297	149	12	on	on	ADP
fumecheng-5297	149	13	contact	contact	NOUN
fumecheng-5297	149	14	characteristics	characteristic	NOUN
fumecheng-5297	149	15	(	(	PUNCT
fumecheng-5297	149	16	maximal	maximal	ADJ
fumecheng-5297	149	17	contact	contact	NOUN
fumecheng-5297	149	18	pressure	pressure	NOUN
fumecheng-5297	149	19	and	and	CCONJ
fumecheng-5297	149	20	contact	contact	NOUN
fumecheng-5297	149	21	size	size	NOUN
fumecheng-5297	149	22	)	)	PUNCT
fumecheng-5297	149	23	for	for	ADP
fumecheng-5297	149	24	two	two	NUM
fumecheng-5297	149	25	types	type	NOUN
fumecheng-5297	149	26	of	of	ADP
fumecheng-5297	149	27	microgeometry	microgeometry	NOUN
fumecheng-5297	149	28	models	model	NOUN
fumecheng-5297	149	29	:	:	PUNCT
fumecheng-5297	149	30	one	one	NUM
fumecheng-5297	149	31	-	-	PUNCT
fumecheng-5297	149	32	level	level	NOUN
fumecheng-5297	149	33	model	model	NOUN
fumecheng-5297	149	34	with	with	ADP
fumecheng-5297	149	35	period	period	NOUN
fumecheng-5297	149	36	3l	3l	NUM
fumecheng-5297	149	37	(	(	PUNCT
fumecheng-5297	149	38	curves	curve	NOUN
fumecheng-5297	149	39	1	1	NUM
fumecheng-5297	149	40	)	)	PUNCT
fumecheng-5297	149	41	,	,	PUNCT
fumecheng-5297	149	42	three	three	NUM
fumecheng-5297	149	43	-	-	PUNCT
fumecheng-5297	149	44	level	level	NOUN
fumecheng-5297	149	45	model	model	NOUN
fumecheng-5297	149	46	with	with	ADP
fumecheng-5297	149	47	the	the	DET
fumecheng-5297	149	48	same	same	ADJ
fumecheng-5297	149	49	period	period	NOUN
fumecheng-5297	149	50	3l	3l	NUM
fumecheng-5297	149	51	for	for	ADP
fumecheng-5297	149	52	each	each	DET
fumecheng-5297	149	53	level	level	NOUN
fumecheng-5297	149	54	(	(	PUNCT
fumecheng-5297	149	55	curves	curve	NOUN
fumecheng-5297	149	56	2	2	NUM
fumecheng-5297	149	57	)	)	PUNCT
fumecheng-5297	149	58	.	.	PUNCT
fumecheng-5297	150	1	the	the	DET
fumecheng-5297	150	2	results	result	NOUN
fumecheng-5297	150	3	indicate	indicate	VERB
fumecheng-5297	150	4	that	that	SCONJ
fumecheng-5297	150	5	the	the	DET
fumecheng-5297	150	6	radius	radius	NOUN
fumecheng-5297	150	7	of	of	ADP
fumecheng-5297	150	8	contact	contact	NOUN
fumecheng-5297	150	9	spot	spot	NOUN
fumecheng-5297	150	10	and	and	CCONJ
fumecheng-5297	150	11	maximal	maximal	ADJ
fumecheng-5297	150	12	contact	contact	NOUN
fumecheng-5297	150	13	pressure	pressure	NOUN
fumecheng-5297	150	14	increases	increase	VERB
fumecheng-5297	150	15	with	with	ADP
fumecheng-5297	150	16	increasing	increase	VERB
fumecheng-5297	150	17	the	the	DET
fumecheng-5297	150	18	nominal	nominal	ADJ
fumecheng-5297	150	19	pressure	pressure	NOUN
fumecheng-5297	150	20	.	.	PUNCT
fumecheng-5297	151	1	no	no	DET
fumecheng-5297	151	2	difference	difference	NOUN
fumecheng-5297	151	3	exists	exist	VERB
fumecheng-5297	151	4	between	between	ADP
fumecheng-5297	151	5	the	the	DET
fumecheng-5297	151	6	curves	curve	NOUN
fumecheng-5297	151	7	1	1	NUM
fumecheng-5297	151	8	and	and	CCONJ
fumecheng-5297	151	9	2	2	NUM
fumecheng-5297	151	10	for	for	ADP
fumecheng-5297	151	11	small	small	ADJ
fumecheng-5297	151	12	values	value	NOUN
fumecheng-5297	151	13	of	of	ADP
fumecheng-5297	151	14	average	average	ADJ
fumecheng-5297	151	15	pressure	pressure	NOUN
fumecheng-5297	151	16	,	,	PUNCT
fumecheng-5297	151	17	when	when	SCONJ
fumecheng-5297	151	18	the	the	DET
fumecheng-5297	151	19	second	second	ADJ
fumecheng-5297	151	20	and	and	CCONJ
fumecheng-5297	151	21	third	third	ADJ
fumecheng-5297	151	22	levels	level	NOUN
fumecheng-5297	151	23	are	be	AUX
fumecheng-5297	151	24	not	not	PART
fumecheng-5297	151	25	in	in	ADP
fumecheng-5297	151	26	contact	contact	NOUN
fumecheng-5297	151	27	.	.	PUNCT
fumecheng-5297	152	1	contact	contact	NOUN
fumecheng-5297	152	2	of	of	ADP
fumecheng-5297	152	3	multi	multi	ADJ
fumecheng-5297	152	4	-	-	ADJ
fumecheng-5297	152	5	level	level	ADJ
fumecheng-5297	152	6	periodic	periodic	ADJ
fumecheng-5297	152	7	system	system	NOUN
fumecheng-5297	152	8	of	of	ADP
fumecheng-5297	152	9	indenters	indenter	NOUN
fumecheng-5297	152	10	with	with	ADP
fumecheng-5297	152	11	coated	coated	ADJ
fumecheng-5297	152	12	elastic	elastic	ADJ
fumecheng-5297	152	13	half	half	ADJ
fumecheng-5297	152	14	-	-	PUNCT
fumecheng-5297	152	15	space	space	NOUN
fumecheng-5297	152	16	157	157	NUM
fumecheng-5297	152	17	curve	curve	NOUN
fumecheng-5297	152	18	3	3	NUM
fumecheng-5297	152	19	in	in	ADP
fumecheng-5297	152	20	fig	fig	NOUN
fumecheng-5297	152	21	.	.	PUNCT
fumecheng-5297	153	1	5b	5b	PROPN
fumecheng-5297	153	2	illustrates	illustrate	VERB
fumecheng-5297	153	3	the	the	DET
fumecheng-5297	153	4	principal	principal	ADJ
fumecheng-5297	153	5	shear	shear	NOUN
fumecheng-5297	153	6	stress	stress	NOUN
fumecheng-5297	153	7	maximal	maximal	ADJ
fumecheng-5297	153	8	value	value	NOUN
fumecheng-5297	153	9	.	.	PUNCT
fumecheng-5297	154	1	the	the	DET
fumecheng-5297	154	2	maximum	maximum	NOUN
fumecheng-5297	154	3	is	be	AUX
fumecheng-5297	154	4	localized	localize	VERB
fumecheng-5297	154	5	at	at	ADP
fumecheng-5297	154	6	the	the	DET
fumecheng-5297	154	7	layer	layer	NOUN
fumecheng-5297	154	8	-	-	PUNCT
fumecheng-5297	154	9	substrate	substrate	NOUN
fumecheng-5297	154	10	interface	interface	NOUN
fumecheng-5297	154	11	for	for	ADP
fumecheng-5297	154	12	the	the	DET
fumecheng-5297	154	13	chosen	choose	VERB
fumecheng-5297	154	14	model	model	NOUN
fumecheng-5297	154	15	parameters	parameter	NOUN
fumecheng-5297	154	16	.	.	PUNCT
fumecheng-5297	155	1	figs	fig	NOUN
fumecheng-5297	155	2	.	.	PUNCT
fumecheng-5297	156	1	6	6	NUM
fumecheng-5297	156	2	and	and	CCONJ
fumecheng-5297	156	3	7	7	NUM
fumecheng-5297	156	4	illustrate	illustrate	VERB
fumecheng-5297	156	5	the	the	DET
fumecheng-5297	156	6	influence	influence	NOUN
fumecheng-5297	156	7	of	of	ADP
fumecheng-5297	156	8	the	the	DET
fumecheng-5297	156	9	contact	contact	NOUN
fumecheng-5297	156	10	density	density	NOUN
fumecheng-5297	156	11	on	on	ADP
fumecheng-5297	156	12	the	the	DET
fumecheng-5297	156	13	distribution	distribution	NOUN
fumecheng-5297	156	14	of	of	ADP
fumecheng-5297	156	15	tensile	tensile	NOUN
fumecheng-5297	156	16	-	-	PUNCT
fumecheng-5297	156	17	compressive	compressive	ADJ
fumecheng-5297	156	18	and	and	CCONJ
fumecheng-5297	156	19	principal	principal	ADJ
fumecheng-5297	156	20	shear	shear	NOUN
fumecheng-5297	156	21	stresses	stress	NOUN
fumecheng-5297	156	22	under	under	ADP
fumecheng-5297	156	23	an	an	DET
fumecheng-5297	156	24	indenter	indenter	NOUN
fumecheng-5297	156	25	of	of	ADP
fumecheng-5297	156	26	the	the	DET
fumecheng-5297	156	27	first	first	ADJ
fumecheng-5297	156	28	level	level	NOUN
fumecheng-5297	156	29	for	for	ADP
fumecheng-5297	156	30	the	the	DET
fumecheng-5297	156	31	value	value	NOUN
fumecheng-5297	156	32	of	of	ADP
fumecheng-5297	156	33	the	the	DET
fumecheng-5297	156	34	nominal	nominal	ADJ
fumecheng-5297	156	35	pressure	pressure	NOUN
fumecheng-5297	156	36	p	p	NOUN
fumecheng-5297	156	37	,	,	PUNCT
fumecheng-5297	156	38	which	which	PRON
fumecheng-5297	156	39	provides	provide	VERB
fumecheng-5297	156	40	three	three	NUM
fumecheng-5297	156	41	-	-	PUNCT
fumecheng-5297	156	42	level	level	NOUN
fumecheng-5297	156	43	contact	contact	NOUN
fumecheng-5297	156	44	.	.	PUNCT
fumecheng-5297	157	1	all	all	DET
fumecheng-5297	157	2	geometrical	geometrical	ADJ
fumecheng-5297	157	3	parameters	parameter	NOUN
fumecheng-5297	157	4	are	be	AUX
fumecheng-5297	157	5	related	relate	VERB
fumecheng-5297	157	6	here	here	ADV
fumecheng-5297	157	7	to	to	ADP
fumecheng-5297	157	8	the	the	DET
fumecheng-5297	157	9	radius	radius	NOUN
fumecheng-5297	157	10	of	of	ADP
fumecheng-5297	157	11	first	first	ADJ
fumecheng-5297	157	12	-	-	PUNCT
fumecheng-5297	157	13	level	level	NOUN
fumecheng-5297	157	14	indenter	indenter	NOUN
fumecheng-5297	157	15	,	,	PUNCT
fumecheng-5297	157	16	which	which	PRON
fumecheng-5297	157	17	allows	allow	VERB
fumecheng-5297	157	18	us	we	PRON
fumecheng-5297	157	19	to	to	PART
fumecheng-5297	157	20	use	use	VERB
fumecheng-5297	157	21	different	different	ADJ
fumecheng-5297	157	22	value	value	NOUN
fumecheng-5297	157	23	of	of	ADP
fumecheng-5297	157	24	l	l	NOUN
fumecheng-5297	157	25	associated	associate	VERB
fumecheng-5297	157	26	with	with	ADP
fumecheng-5297	157	27	the	the	DET
fumecheng-5297	157	28	contact	contact	NOUN
fumecheng-5297	157	29	density	density	NOUN
fumecheng-5297	157	30	.	.	PUNCT
fumecheng-5297	158	1	a	a	DET
fumecheng-5297	158	2	)	)	PUNCT
fumecheng-5297	158	3	b	b	NOUN
fumecheng-5297	158	4	)	)	PUNCT
fumecheng-5297	158	5	fig	fig	NOUN
fumecheng-5297	158	6	.	.	PUNCT
fumecheng-5297	159	1	5	5	NUM
fumecheng-5297	159	2	dimensionless	dimensionless	NOUN
fumecheng-5297	159	3	maximal	maximal	ADJ
fumecheng-5297	159	4	contact	contact	NOUN
fumecheng-5297	159	5	radius	radius	NOUN
fumecheng-5297	159	6	am	be	AUX
fumecheng-5297	159	7	(	(	PUNCT
fumecheng-5297	159	8	a	a	X
fumecheng-5297	159	9	)	)	PUNCT
fumecheng-5297	159	10	,	,	PUNCT
fumecheng-5297	159	11	maximal	maximal	ADJ
fumecheng-5297	159	12	contact	contact	NOUN
fumecheng-5297	159	13	pressure	pressure	NOUN
fumecheng-5297	159	14	(	(	PUNCT
fumecheng-5297	159	15	p1)max	p1)max	X
fumecheng-5297	159	16	(	(	PUNCT
fumecheng-5297	159	17	b	b	NOUN
fumecheng-5297	159	18	,	,	PUNCT
fumecheng-5297	159	19	curves	curve	VERB
fumecheng-5297	159	20	1	1	NUM
fumecheng-5297	159	21	-	-	SYM
fumecheng-5297	159	22	2	2	NUM
fumecheng-5297	159	23	)	)	PUNCT
fumecheng-5297	159	24	and	and	CCONJ
fumecheng-5297	159	25	maximal	maximal	ADJ
fumecheng-5297	159	26	values	value	NOUN
fumecheng-5297	159	27	of	of	ADP
fumecheng-5297	159	28	the	the	DET
fumecheng-5297	159	29	principal	principal	ADJ
fumecheng-5297	159	30	shear	shear	NOUN
fumecheng-5297	159	31	stress	stress	NOUN
fumecheng-5297	159	32	in	in	ADP
fumecheng-5297	159	33	the	the	DET
fumecheng-5297	159	34	coating	coating	NOUN
fumecheng-5297	159	35	(	(	PUNCT
fumecheng-5297	159	36	1)max	1)max	PROPN
fumecheng-5297	159	37	(	(	PUNCT
fumecheng-5297	159	38	b	b	NOUN
fumecheng-5297	159	39	,	,	PUNCT
fumecheng-5297	159	40	curve	curve	NOUN
fumecheng-5297	159	41	3	3	NUM
fumecheng-5297	159	42	)	)	PUNCT
fumecheng-5297	159	43	under	under	ADP
fumecheng-5297	159	44	first	first	ADJ
fumecheng-5297	159	45	-	-	PUNCT
fumecheng-5297	159	46	level	level	NOUN
fumecheng-5297	159	47	indenter	indenter	NOUN
fumecheng-5297	159	48	as	as	ADP
fumecheng-5297	159	49	functions	function	NOUN
fumecheng-5297	159	50	of	of	ADP
fumecheng-5297	159	51	nominal	nominal	ADJ
fumecheng-5297	159	52	pressure	pressure	NOUN
fumecheng-5297	159	53	;	;	PUNCT
fumecheng-5297	159	54	(	(	PUNCT
fumecheng-5297	159	55	h1h2)/l=(h2h3)/l=0.06	h1h2)/l=(h2h3)/l=0.06	NOUN
fumecheng-5297	159	56	,	,	PUNCT
fumecheng-5297	159	57	r1=1.67	r1=1.67	PROPN
fumecheng-5297	159	58	,	,	PUNCT
fumecheng-5297	159	59	r2=1.25	r2=1.25	PROPN
fumecheng-5297	159	60	,	,	PUNCT
fumecheng-5297	159	61	r3=0.83	r3=0.83	PROPN
fumecheng-5297	159	62	(	(	PUNCT
fumecheng-5297	159	63	curves	curve	NOUN
fumecheng-5297	159	64	1	1	NUM
fumecheng-5297	159	65	,	,	PUNCT
fumecheng-5297	159	66	3	3	NUM
fumecheng-5297	159	67	)	)	PUNCT
fumecheng-5297	159	68	,	,	PUNCT
fumecheng-5297	159	69	one	one	NUM
fumecheng-5297	159	70	-	-	PUNCT
fumecheng-5297	159	71	level	level	NOUN
fumecheng-5297	159	72	model	model	NOUN
fumecheng-5297	159	73	with	with	ADP
fumecheng-5297	159	74	period	period	NOUN
fumecheng-5297	159	75	3l	3l	NUM
fumecheng-5297	159	76	and	and	CCONJ
fumecheng-5297	159	77	r1=1.67	r1=1.67	NOUN
fumecheng-5297	159	78	(	(	PUNCT
fumecheng-5297	159	79	curves	curve	NOUN
fumecheng-5297	159	80	2	2	NUM
fumecheng-5297	159	81	)	)	PUNCT
fumecheng-5297	159	82	;	;	PUNCT
fumecheng-5297	159	83	h	h	X
fumecheng-5297	159	84	/	/	SYM
fumecheng-5297	159	85	l=0.087,=3	l=0.087,=3	PROPN
fumecheng-5297	159	86	,	,	PUNCT
fumecheng-5297	159	87	1=0.22	1=0.22	PROPN
fumecheng-5297	159	88	,	,	PUNCT
fumecheng-5297	159	89	2=0.4	2=0.4	PROPN
fumecheng-5297	159	90	we	we	PRON
fumecheng-5297	159	91	chose	choose	VERB
fumecheng-5297	159	92	these	these	DET
fumecheng-5297	159	93	stresses	stress	NOUN
fumecheng-5297	159	94	for	for	ADP
fumecheng-5297	159	95	analysis	analysis	NOUN
fumecheng-5297	159	96	,	,	PUNCT
fumecheng-5297	159	97	because	because	SCONJ
fumecheng-5297	159	98	due	due	ADP
fumecheng-5297	159	99	to	to	ADP
fumecheng-5297	159	100	their	their	PRON
fumecheng-5297	159	101	concentration	concentration	NOUN
fumecheng-5297	159	102	the	the	DET
fumecheng-5297	159	103	coating	coating	NOUN
fumecheng-5297	159	104	delamination	delamination	NOUN
fumecheng-5297	159	105	due	due	ADP
fumecheng-5297	159	106	to	to	ADP
fumecheng-5297	159	107	brittle	brittle	ADJ
fumecheng-5297	159	108	fracture	fracture	NOUN
fumecheng-5297	159	109	(	(	PUNCT
fumecheng-5297	159	110	large	large	ADJ
fumecheng-5297	159	111	tension	tension	NOUN
fumecheng-5297	159	112	)	)	PUNCT
fumecheng-5297	159	113	or	or	CCONJ
fumecheng-5297	159	114	contact	contact	NOUN
fumecheng-5297	159	115	fatigue	fatigue	NOUN
fumecheng-5297	159	116	(	(	PUNCT
fumecheng-5297	159	117	high	high	ADJ
fumecheng-5297	159	118	amplitude	amplitude	NOUN
fumecheng-5297	159	119	values	value	NOUN
fumecheng-5297	159	120	of	of	ADP
fumecheng-5297	159	121	the	the	DET
fumecheng-5297	159	122	principal	principal	ADJ
fumecheng-5297	159	123	shear	shear	NOUN
fumecheng-5297	159	124	stress	stress	NOUN
fumecheng-5297	159	125	)	)	PUNCT
fumecheng-5297	159	126	occurs	occur	VERB
fumecheng-5297	159	127	.	.	PUNCT
fumecheng-5297	160	1	since	since	SCONJ
fumecheng-5297	160	2	the	the	DET
fumecheng-5297	160	3	space	space	NOUN
fumecheng-5297	160	4	distribution	distribution	NOUN
fumecheng-5297	160	5	of	of	ADP
fumecheng-5297	160	6	indenters	indenter	NOUN
fumecheng-5297	160	7	influences	influence	VERB
fumecheng-5297	160	8	essentially	essentially	ADV
fumecheng-5297	160	9	on	on	ADP
fumecheng-5297	160	10	the	the	DET
fumecheng-5297	160	11	contact	contact	NOUN
fumecheng-5297	160	12	spot	spot	NOUN
fumecheng-5297	160	13	radius	radius	NOUN
fumecheng-5297	160	14	and	and	CCONJ
fumecheng-5297	160	15	the	the	DET
fumecheng-5297	160	16	maximal	maximal	ADJ
fumecheng-5297	160	17	contact	contact	NOUN
fumecheng-5297	160	18	pressure	pressure	NOUN
fumecheng-5297	160	19	(	(	PUNCT
fumecheng-5297	160	20	see	see	VERB
fumecheng-5297	160	21	fig	fig	NOUN
fumecheng-5297	160	22	.	.	PUNCT
fumecheng-5297	161	1	5	5	NUM
fumecheng-5297	161	2	)	)	PUNCT
fumecheng-5297	161	3	,	,	PUNCT
fumecheng-5297	161	4	the	the	DET
fumecheng-5297	161	5	internal	internal	ADJ
fumecheng-5297	161	6	stress	stress	NOUN
fumecheng-5297	161	7	distribution	distribution	NOUN
fumecheng-5297	161	8	depends	depend	VERB
fumecheng-5297	161	9	also	also	ADV
fumecheng-5297	161	10	on	on	ADP
fumecheng-5297	161	11	the	the	DET
fumecheng-5297	161	12	density	density	NOUN
fumecheng-5297	161	13	and	and	CCONJ
fumecheng-5297	161	14	height	height	NOUN
fumecheng-5297	161	15	distribution	distribution	NOUN
fumecheng-5297	161	16	of	of	ADP
fumecheng-5297	161	17	asperities	asperity	NOUN
fumecheng-5297	161	18	.	.	PUNCT
fumecheng-5297	162	1	the	the	DET
fumecheng-5297	162	2	stress	stress	NOUN
fumecheng-5297	162	3	distributions	distribution	NOUN
fumecheng-5297	162	4	presented	present	VERB
fumecheng-5297	162	5	in	in	ADP
fumecheng-5297	162	6	figs	fig	NOUN
fumecheng-5297	162	7	.	.	PUNCT
fumecheng-5297	163	1	6	6	NUM
fumecheng-5297	163	2	and	and	CCONJ
fumecheng-5297	163	3	7	7	NUM
fumecheng-5297	163	4	are	be	AUX
fumecheng-5297	163	5	typical	typical	ADJ
fumecheng-5297	163	6	for	for	ADP
fumecheng-5297	163	7	relatively	relatively	ADV
fumecheng-5297	163	8	hard	hard	ADJ
fumecheng-5297	163	9	coatings	coating	NOUN
fumecheng-5297	163	10	:	:	PUNCT
fumecheng-5297	163	11	tension	tension	NOUN
fumecheng-5297	163	12	occurs	occur	VERB
fumecheng-5297	163	13	at	at	ADP
fumecheng-5297	163	14	the	the	DET
fumecheng-5297	163	15	surface	surface	NOUN
fumecheng-5297	163	16	near	near	ADP
fumecheng-5297	163	17	the	the	DET
fumecheng-5297	163	18	boundary	boundary	NOUN
fumecheng-5297	163	19	of	of	ADP
fumecheng-5297	163	20	contact	contact	NOUN
fumecheng-5297	163	21	,	,	PUNCT
fumecheng-5297	163	22	and	and	CCONJ
fumecheng-5297	163	23	at	at	ADP
fumecheng-5297	163	24	the	the	DET
fumecheng-5297	163	25	coating	coating	NOUN
fumecheng-5297	163	26	-	-	PUNCT
fumecheng-5297	163	27	substrate	substrate	NOUN
fumecheng-5297	163	28	interface	interface	NOUN
fumecheng-5297	163	29	for	for	ADP
fumecheng-5297	163	30	thicker	thick	ADJ
fumecheng-5297	163	31	coating	coating	NOUN
fumecheng-5297	163	32	;	;	PUNCT
fumecheng-5297	163	33	principal	principal	ADJ
fumecheng-5297	163	34	shear	shear	NOUN
fumecheng-5297	163	35	stresses	stress	NOUN
fumecheng-5297	163	36	concentrate	concentrate	VERB
fumecheng-5297	163	37	at	at	ADP
fumecheng-5297	163	38	the	the	DET
fumecheng-5297	163	39	surface	surface	NOUN
fumecheng-5297	163	40	-	-	PUNCT
fumecheng-5297	163	41	substrate	substrate	NOUN
fumecheng-5297	163	42	interface	interface	NOUN
fumecheng-5297	163	43	,	,	PUNCT
fumecheng-5297	163	44	which	which	PRON
fumecheng-5297	163	45	is	be	AUX
fumecheng-5297	163	46	often	often	ADV
fumecheng-5297	163	47	initially	initially	ADV
fumecheng-5297	163	48	damaged	damage	VERB
fumecheng-5297	163	49	.	.	PUNCT
fumecheng-5297	164	1	fig	fig	NOUN
fumecheng-5297	164	2	.	.	PUNCT
fumecheng-5297	165	1	7	7	NUM
fumecheng-5297	165	2	illustrates	illustrate	VERB
fumecheng-5297	165	3	the	the	DET
fumecheng-5297	165	4	results	result	NOUN
fumecheng-5297	165	5	of	of	ADP
fumecheng-5297	165	6	stress	stress	ADJ
fumecheng-5297	165	7	calculation	calculation	NOUN
fumecheng-5297	165	8	for	for	ADP
fumecheng-5297	165	9	the	the	DET
fumecheng-5297	165	10	same	same	ADJ
fumecheng-5297	165	11	input	input	NOUN
fumecheng-5297	165	12	parameters	parameter	NOUN
fumecheng-5297	165	13	as	as	SCONJ
fumecheng-5297	165	14	used	use	VERB
fumecheng-5297	165	15	in	in	ADP
fumecheng-5297	165	16	fig	fig	NOUN
fumecheng-5297	165	17	.	.	PUNCT
fumecheng-5297	166	1	6	6	NUM
fumecheng-5297	166	2	.	.	PUNCT
fumecheng-5297	167	1	the	the	DET
fumecheng-5297	167	2	values	value	NOUN
fumecheng-5297	167	3	of	of	ADP
fumecheng-5297	167	4	tensile	tensile	ADJ
fumecheng-5297	167	5	-	-	PUNCT
fumecheng-5297	167	6	compressive	compressive	ADJ
fumecheng-5297	167	7	stresses	stress	NOUN
fumecheng-5297	167	8	(	(	PUNCT
fumecheng-5297	167	9	curves	curve	NOUN
fumecheng-5297	167	10	1	1	NUM
fumecheng-5297	167	11	-	-	SYM
fumecheng-5297	167	12	3	3	NUM
fumecheng-5297	167	13	)	)	PUNCT
fumecheng-5297	167	14	are	be	AUX
fumecheng-5297	167	15	very	very	ADV
fumecheng-5297	167	16	different	different	ADJ
fumecheng-5297	167	17	for	for	ADP
fumecheng-5297	167	18	the	the	DET
fumecheng-5297	167	19	cases	case	NOUN
fumecheng-5297	167	20	of	of	ADP
fumecheng-5297	167	21	high	high	ADJ
fumecheng-5297	167	22	(	(	PUNCT
fumecheng-5297	167	23	b	b	NOUN
fumecheng-5297	167	24	)	)	PUNCT
fumecheng-5297	167	25	and	and	CCONJ
fumecheng-5297	167	26	low	low	ADJ
fumecheng-5297	167	27	(	(	PUNCT
fumecheng-5297	167	28	a	a	NOUN
fumecheng-5297	167	29	)	)	PUNCT
fumecheng-5297	167	30	contact	contact	NOUN
fumecheng-5297	167	31	densities	density	NOUN
fumecheng-5297	167	32	as	as	ADP
fumecheng-5297	167	33	at	at	ADP
fumecheng-5297	167	34	the	the	DET
fumecheng-5297	167	35	surface	surface	NOUN
fumecheng-5297	167	36	and	and	CCONJ
fumecheng-5297	167	37	as	as	ADP
fumecheng-5297	167	38	at	at	ADP
fumecheng-5297	167	39	the	the	DET
fumecheng-5297	167	40	interface	interface	NOUN
fumecheng-5297	167	41	.	.	PUNCT
fumecheng-5297	168	1	for	for	ADP
fumecheng-5297	168	2	the	the	DET
fumecheng-5297	168	3	case	case	NOUN
fumecheng-5297	168	4	of	of	ADP
fumecheng-5297	168	5	high	high	ADJ
fumecheng-5297	168	6	contact	contact	NOUN
fumecheng-5297	168	7	density	density	NOUN
fumecheng-5297	168	8	positive	positive	ADJ
fumecheng-5297	168	9	tensile	tensile	NOUN
fumecheng-5297	168	10	stresses	stress	NOUN
fumecheng-5297	168	11	occur	occur	VERB
fumecheng-5297	168	12	at	at	ADP
fumecheng-5297	168	13	the	the	DET
fumecheng-5297	168	14	surface	surface	NOUN
fumecheng-5297	168	15	under	under	ADP
fumecheng-5297	168	16	the	the	DET
fumecheng-5297	168	17	boundary	boundary	NOUN
fumecheng-5297	168	18	of	of	ADP
fumecheng-5297	168	19	the	the	DET
fumecheng-5297	168	20	contact	contact	NOUN
fumecheng-5297	168	21	zone	zone	NOUN
fumecheng-5297	168	22	(	(	PUNCT
fumecheng-5297	168	23	curve	curve	NOUN
fumecheng-5297	168	24	1	1	NUM
fumecheng-5297	168	25	)	)	PUNCT
fumecheng-5297	168	26	,	,	PUNCT
fumecheng-5297	168	27	in	in	ADP
fumecheng-5297	168	28	coating	coat	VERB
fumecheng-5297	168	29	material	material	NOUN
fumecheng-5297	168	30	at	at	ADP
fumecheng-5297	168	31	the	the	DET
fumecheng-5297	168	32	interface	interface	NOUN
fumecheng-5297	168	33	under	under	ADP
fumecheng-5297	168	34	the	the	DET
fumecheng-5297	168	35	center	center	NOUN
fumecheng-5297	168	36	of	of	ADP
fumecheng-5297	168	37	the	the	DET
fumecheng-5297	168	38	contact	contact	NOUN
fumecheng-5297	168	39	(	(	PUNCT
fumecheng-5297	168	40	curve	curve	NOUN
fumecheng-5297	168	41	2	2	NUM
fumecheng-5297	168	42	)	)	PUNCT
fumecheng-5297	168	43	,	,	PUNCT
fumecheng-5297	168	44	and	and	CCONJ
fumecheng-5297	168	45	only	only	ADV
fumecheng-5297	168	46	compression	compression	NOUN
fumecheng-5297	168	47	realizes	realize	VERB
fumecheng-5297	168	48	in	in	ADP
fumecheng-5297	168	49	substrate	substrate	NOUN
fumecheng-5297	168	50	material	material	NOUN
fumecheng-5297	168	51	(	(	PUNCT
fumecheng-5297	168	52	curve	curve	NOUN
fumecheng-5297	168	53	3	3	NUM
fumecheng-5297	168	54	)	)	PUNCT
fumecheng-5297	168	55	.	.	PUNCT
fumecheng-5297	169	1	for	for	ADP
fumecheng-5297	169	2	the	the	DET
fumecheng-5297	169	3	case	case	NOUN
fumecheng-5297	169	4	of	of	ADP
fumecheng-5297	169	5	low	low	ADJ
fumecheng-5297	169	6	158	158	NUM
fumecheng-5297	169	7	i.	i.	PROPN
fumecheng-5297	169	8	goryacheva	goryacheva	PROPN
fumecheng-5297	169	9	,	,	PUNCT
fumecheng-5297	169	10	e.	e.	PROPN
fumecheng-5297	169	11	torskaya	torskaya	PROPN
fumecheng-5297	169	12	density	density	NOUN
fumecheng-5297	169	13	both	both	PRON
fumecheng-5297	169	14	for	for	ADP
fumecheng-5297	169	15	the	the	DET
fumecheng-5297	169	16	surface	surface	NOUN
fumecheng-5297	169	17	and	and	CCONJ
fumecheng-5297	169	18	for	for	ADP
fumecheng-5297	169	19	the	the	DET
fumecheng-5297	169	20	interface	interface	NOUN
fumecheng-5297	169	21	the	the	DET
fumecheng-5297	169	22	curves	curve	NOUN
fumecheng-5297	169	23	have	have	VERB
fumecheng-5297	169	24	the	the	DET
fumecheng-5297	169	25	same	same	ADJ
fumecheng-5297	169	26	features	feature	NOUN
fumecheng-5297	169	27	,	,	PUNCT
fumecheng-5297	169	28	which	which	PRON
fumecheng-5297	169	29	are	be	AUX
fumecheng-5297	169	30	compression	compression	NOUN
fumecheng-5297	169	31	under	under	ADP
fumecheng-5297	169	32	the	the	DET
fumecheng-5297	169	33	center	center	NOUN
fumecheng-5297	169	34	and	and	CCONJ
fumecheng-5297	169	35	tension	tension	NOUN
fumecheng-5297	169	36	under	under	ADP
fumecheng-5297	169	37	the	the	DET
fumecheng-5297	169	38	boundary	boundary	NOUN
fumecheng-5297	169	39	of	of	ADP
fumecheng-5297	169	40	the	the	DET
fumecheng-5297	169	41	contact	contact	NOUN
fumecheng-5297	169	42	zone	zone	NOUN
fumecheng-5297	169	43	.	.	PUNCT
fumecheng-5297	170	1	principal	principal	ADJ
fumecheng-5297	170	2	shear	shear	NOUN
fumecheng-5297	170	3	stresses	stress	NOUN
fumecheng-5297	170	4	for	for	ADP
fumecheng-5297	170	5	both	both	DET
fumecheng-5297	170	6	cases	case	NOUN
fumecheng-5297	170	7	have	have	VERB
fumecheng-5297	170	8	interface	interface	NOUN
fumecheng-5297	170	9	maxima	maxima	NOUN
fumecheng-5297	170	10	.	.	PUNCT
fumecheng-5297	171	1	a	a	DET
fumecheng-5297	171	2	)	)	PUNCT
fumecheng-5297	171	3	b	b	NOUN
fumecheng-5297	171	4	)	)	PUNCT
fumecheng-5297	171	5	fig	fig	NOUN
fumecheng-5297	171	6	.	.	PUNCT
fumecheng-5297	172	1	6	6	NUM
fumecheng-5297	172	2	tensile	tensile	NOUN
fumecheng-5297	172	3	-	-	PUNCT
fumecheng-5297	172	4	compressive	compressive	ADJ
fumecheng-5297	172	5	and	and	CCONJ
fumecheng-5297	172	6	principal	principal	ADJ
fumecheng-5297	172	7	shear	shear	NOUN
fumecheng-5297	172	8	stresses	stress	NOUN
fumecheng-5297	172	9	under	under	ADP
fumecheng-5297	172	10	first	first	ADJ
fumecheng-5297	172	11	-	-	PUNCT
fumecheng-5297	172	12	level	level	NOUN
fumecheng-5297	172	13	indenter	indenter	NOUN
fumecheng-5297	172	14	:	:	PUNCT
fumecheng-5297	172	15	=3	=3	X
fumecheng-5297	172	16	,	,	PUNCT
fumecheng-5297	172	17	'	'	PUNCT
fumecheng-5297	172	18	0.002p	0.002p	PROPN
fumecheng-5297	172	19			PROPN
fumecheng-5297	172	20	,	,	PUNCT
fumecheng-5297	172	21	1=0.22	1=0.22	PROPN
fumecheng-5297	172	22	,	,	PUNCT
fumecheng-5297	172	23	h	h	NOUN
fumecheng-5297	172	24	/	/	SYM
fumecheng-5297	172	25	r1=0.023	r1=0.023	PRON
fumecheng-5297	172	26	2=0.4	2=0.4	NOUN
fumecheng-5297	172	27	;	;	PUNCT
fumecheng-5297	172	28	r2	r2	PROPN
fumecheng-5297	172	29	/	/	SYM
fumecheng-5297	172	30	r1=0.75	r1=0.75	PROPN
fumecheng-5297	172	31	,	,	PUNCT
fumecheng-5297	172	32	r3	r3	PROPN
fumecheng-5297	172	33	/	/	SYM
fumecheng-5297	172	34	r1=0.5	r1=0.5	PROPN
fumecheng-5297	172	35	,	,	PUNCT
fumecheng-5297	172	36	(	(	PUNCT
fumecheng-5297	172	37	h1h2)/r1=(h2h3)/	h1h2)/r1=(h2h3)/	ADP
fumecheng-5297	172	38	r1=0.036	r1=0.036	NOUN
fumecheng-5297	172	39	,	,	PUNCT
fumecheng-5297	172	40	l	l	NOUN
fumecheng-5297	172	41	/	/	SYM
fumecheng-5297	172	42	r1=0.067	r1=0.067	NUM
fumecheng-5297	172	43	(	(	PUNCT
fumecheng-5297	172	44	a	a	NOUN
fumecheng-5297	172	45	)	)	PUNCT
fumecheng-5297	172	46	l	l	NOUN
fumecheng-5297	172	47	/	/	SYM
fumecheng-5297	172	48	r1=0.6	r1=0.6	PROPN
fumecheng-5297	172	49	(	(	PUNCT
fumecheng-5297	172	50	b	b	NOUN
fumecheng-5297	172	51	)	)	PUNCT
fumecheng-5297	172	52	a	a	PRON
fumecheng-5297	172	53	)	)	PUNCT
fumecheng-5297	172	54	b	b	NOUN
fumecheng-5297	172	55	)	)	PUNCT
fumecheng-5297	172	56	fig	fig	NOUN
fumecheng-5297	172	57	.	.	PUNCT
fumecheng-5297	173	1	7	7	NUM
fumecheng-5297	173	2	tensile	tensile	NOUN
fumecheng-5297	173	3	-	-	PUNCT
fumecheng-5297	173	4	compressive	compressive	NOUN
fumecheng-5297	173	5	r	r	ADJ
fumecheng-5297	173	6	(	(	PUNCT
fumecheng-5297	173	7	curves	curve	NOUN
fumecheng-5297	173	8	1	1	NUM
fumecheng-5297	173	9	,	,	PUNCT
fumecheng-5297	173	10	2	2	NUM
fumecheng-5297	173	11	,	,	PUNCT
fumecheng-5297	173	12	3	3	NUM
fumecheng-5297	173	13	)	)	PUNCT
fumecheng-5297	173	14	and	and	CCONJ
fumecheng-5297	173	15	principal	principal	ADJ
fumecheng-5297	173	16	shear	shear	NOUN
fumecheng-5297	173	17	1	1	PROPN
fumecheng-5297	173	18	(	(	PUNCT
fumecheng-5297	173	19	curves	curve	NOUN
fumecheng-5297	173	20	1	1	NUM
fumecheng-5297	173	21	'	'	NUM
fumecheng-5297	173	22	,	,	PUNCT
fumecheng-5297	173	23	2	2	NUM
fumecheng-5297	173	24	'	'	NUM
fumecheng-5297	173	25	,	,	PUNCT
fumecheng-5297	173	26	3	3	NUM
fumecheng-5297	173	27	'	'	NUM
fumecheng-5297	173	28	)	)	PUNCT
fumecheng-5297	173	29	stresses	stress	NOUN
fumecheng-5297	173	30	under	under	ADP
fumecheng-5297	173	31	first	first	ADJ
fumecheng-5297	173	32	-	-	PUNCT
fumecheng-5297	173	33	level	level	NOUN
fumecheng-5297	173	34	indenter	indenter	NOUN
fumecheng-5297	173	35	:	:	PUNCT
fumecheng-5297	173	36	=3	=3	X
fumecheng-5297	173	37	,	,	PUNCT
fumecheng-5297	173	38	'	'	PUNCT
fumecheng-5297	173	39	0.002p	0.002p	PROPN
fumecheng-5297	173	40			PROPN
fumecheng-5297	173	41	,	,	PUNCT
fumecheng-5297	173	42	1=0.22	1=0.22	PROPN
fumecheng-5297	173	43	,	,	PUNCT
fumecheng-5297	173	44	h	h	NOUN
fumecheng-5297	173	45	/	/	SYM
fumecheng-5297	173	46	r1=0.023	r1=0.023	NUM
fumecheng-5297	173	47	,	,	PUNCT
fumecheng-5297	173	48	2=0.4	2=0.4	PROPN
fumecheng-5297	173	49	;	;	PUNCT
fumecheng-5297	173	50	,	,	PUNCT
fumecheng-5297	173	51	r2	r2	PROPN
fumecheng-5297	173	52	/	/	SYM
fumecheng-5297	173	53	r1=0.75	r1=0.75	PROPN
fumecheng-5297	173	54	,	,	PUNCT
fumecheng-5297	173	55	r3	r3	PROPN
fumecheng-5297	173	56	/	/	SYM
fumecheng-5297	173	57	r1=0.5	r1=0.5	PROPN
fumecheng-5297	173	58	,	,	PUNCT
fumecheng-5297	173	59	(	(	PUNCT
fumecheng-5297	173	60	h1h2)/r1=(h2h3)/	h1h2)/r1=(h2h3)/	ADP
fumecheng-5297	173	61	r1=0.036	r1=0.036	NOUN
fumecheng-5297	173	62	,	,	PUNCT
fumecheng-5297	173	63	l	l	NOUN
fumecheng-5297	173	64	/	/	SYM
fumecheng-5297	173	65	r1=0.067	r1=0.067	NUM
fumecheng-5297	173	66	(	(	PUNCT
fumecheng-5297	173	67	a	a	NOUN
fumecheng-5297	173	68	)	)	PUNCT
fumecheng-5297	173	69	l	l	NOUN
fumecheng-5297	173	70	/	/	SYM
fumecheng-5297	173	71	r1=0.6	r1=0.6	PROPN
fumecheng-5297	173	72	(	(	PUNCT
fumecheng-5297	173	73	b	b	NOUN
fumecheng-5297	173	74	)	)	PUNCT
fumecheng-5297	173	75	at	at	ADP
fumecheng-5297	173	76	the	the	DET
fumecheng-5297	173	77	surface	surface	NOUN
fumecheng-5297	173	78	(	(	PUNCT
fumecheng-5297	173	79	curves	curve	NOUN
fumecheng-5297	173	80	1	1	NUM
fumecheng-5297	173	81	,	,	PUNCT
fumecheng-5297	173	82	1	1	NUM
fumecheng-5297	173	83	'	'	NUM
fumecheng-5297	173	84	)	)	PUNCT
fumecheng-5297	173	85	,	,	PUNCT
fumecheng-5297	173	86	at	at	ADP
fumecheng-5297	173	87	the	the	DET
fumecheng-5297	173	88	coating	coating	NOUN
fumecheng-5297	173	89	-	-	PUNCT
fumecheng-5297	173	90	substrate	substrate	NOUN
fumecheng-5297	173	91	interface	interface	NOUN
fumecheng-5297	173	92	in	in	ADP
fumecheng-5297	173	93	coating	coat	VERB
fumecheng-5297	173	94	(	(	PUNCT
fumecheng-5297	173	95	curves	curve	NOUN
fumecheng-5297	173	96	2	2	NUM
fumecheng-5297	173	97	,	,	PUNCT
fumecheng-5297	173	98	2	2	NUM
fumecheng-5297	173	99	'	'	NUM
fumecheng-5297	173	100	)	)	PUNCT
fumecheng-5297	173	101	and	and	CCONJ
fumecheng-5297	173	102	substrate	substrate	NOUN
fumecheng-5297	173	103	(	(	PUNCT
fumecheng-5297	173	104	curves	curve	NOUN
fumecheng-5297	173	105	3	3	NUM
fumecheng-5297	173	106	,	,	PUNCT
fumecheng-5297	173	107	3	3	NUM
fumecheng-5297	173	108	'	'	NUM
fumecheng-5297	173	109	)	)	PUNCT
fumecheng-5297	173	110	4	4	NUM
fumecheng-5297	173	111	.	.	PUNCT
fumecheng-5297	174	1	conclusions	conclusion	NOUN
fumecheng-5297	174	2	the	the	DET
fumecheng-5297	174	3	numerical	numerical	ADJ
fumecheng-5297	174	4	-	-	PUNCT
fumecheng-5297	174	5	analytical	analytical	ADJ
fumecheng-5297	174	6	method	method	NOUN
fumecheng-5297	174	7	of	of	ADP
fumecheng-5297	174	8	contact	contact	NOUN
fumecheng-5297	174	9	problem	problem	NOUN
fumecheng-5297	174	10	solution	solution	NOUN
fumecheng-5297	174	11	for	for	ADP
fumecheng-5297	174	12	multi	multi	ADJ
fumecheng-5297	174	13	-	-	ADJ
fumecheng-5297	174	14	level	level	ADJ
fumecheng-5297	174	15	periodic	periodic	ADJ
fumecheng-5297	174	16	system	system	NOUN
fumecheng-5297	174	17	of	of	ADP
fumecheng-5297	174	18	indenters	indenter	NOUN
fumecheng-5297	174	19	and	and	CCONJ
fumecheng-5297	174	20	two	two	NUM
fumecheng-5297	174	21	-	-	PUNCT
fumecheng-5297	174	22	layered	layer	VERB
fumecheng-5297	174	23	elastic	elastic	ADJ
fumecheng-5297	174	24	half	half	ADJ
fumecheng-5297	174	25	-	-	PUNCT
fumecheng-5297	174	26	space	space	NOUN
fumecheng-5297	174	27	is	be	AUX
fumecheng-5297	174	28	developed	develop	VERB
fumecheng-5297	174	29	.	.	PUNCT
fumecheng-5297	175	1	contact	contact	NOUN
fumecheng-5297	175	2	pressure	pressure	NOUN
fumecheng-5297	175	3	distributions	distribution	NOUN
fumecheng-5297	175	4	under	under	ADP
fumecheng-5297	175	5	the	the	DET
fumecheng-5297	175	6	indenters	indenter	NOUN
fumecheng-5297	175	7	of	of	ADP
fumecheng-5297	175	8	different	different	ADJ
fumecheng-5297	175	9	levels	level	NOUN
fumecheng-5297	175	10	,	,	PUNCT
fumecheng-5297	175	11	internal	internal	ADJ
fumecheng-5297	175	12	stresses	stress	NOUN
fumecheng-5297	175	13	,	,	PUNCT
fumecheng-5297	175	14	and	and	CCONJ
fumecheng-5297	175	15	additional	additional	ADJ
fumecheng-5297	175	16	displacements	displacement	NOUN
fumecheng-5297	175	17	as	as	ADP
fumecheng-5297	175	18	a	a	DET
fumecheng-5297	175	19	function	function	NOUN
fumecheng-5297	175	20	of	of	ADP
fumecheng-5297	175	21	average	average	ADJ
fumecheng-5297	175	22	pressure	pressure	NOUN
fumecheng-5297	175	23	are	be	AUX
fumecheng-5297	175	24	determined	determine	VERB
fumecheng-5297	175	25	for	for	ADP
fumecheng-5297	175	26	different	different	ADJ
fumecheng-5297	175	27	values	value	NOUN
fumecheng-5297	175	28	of	of	ADP
fumecheng-5297	175	29	contact	contact	NOUN
fumecheng-5297	175	30	of	of	ADP
fumecheng-5297	175	31	multi	multi	ADJ
fumecheng-5297	175	32	-	-	ADJ
fumecheng-5297	175	33	level	level	ADJ
fumecheng-5297	175	34	periodic	periodic	ADJ
fumecheng-5297	175	35	system	system	NOUN
fumecheng-5297	175	36	of	of	ADP
fumecheng-5297	175	37	indenters	indenter	NOUN
fumecheng-5297	175	38	with	with	ADP
fumecheng-5297	175	39	coated	coated	ADJ
fumecheng-5297	175	40	elastic	elastic	ADJ
fumecheng-5297	175	41	half	half	ADJ
fumecheng-5297	175	42	-	-	PUNCT
fumecheng-5297	175	43	space	space	NOUN
fumecheng-5297	175	44	159	159	NUM
fumecheng-5297	175	45	input	input	NOUN
fumecheng-5297	175	46	parameters	parameter	NOUN
fumecheng-5297	175	47	:	:	PUNCT
fumecheng-5297	175	48	nominal	nominal	ADJ
fumecheng-5297	175	49	pressure	pressure	NOUN
fumecheng-5297	175	50	,	,	PUNCT
fumecheng-5297	175	51	space	space	NOUN
fumecheng-5297	175	52	distribution	distribution	NOUN
fumecheng-5297	175	53	of	of	ADP
fumecheng-5297	175	54	indenters	indenter	NOUN
fumecheng-5297	175	55	,	,	PUNCT
fumecheng-5297	175	56	their	their	PRON
fumecheng-5297	175	57	contact	contact	NOUN
fumecheng-5297	175	58	density	density	NOUN
fumecheng-5297	175	59	,	,	PUNCT
fumecheng-5297	175	60	coating	coat	VERB
fumecheng-5297	175	61	thickness	thickness	NOUN
fumecheng-5297	175	62	and	and	CCONJ
fumecheng-5297	175	63	its	its	PRON
fumecheng-5297	175	64	relative	relative	NOUN
fumecheng-5297	175	65	to	to	ADP
fumecheng-5297	175	66	the	the	DET
fumecheng-5297	175	67	base	base	ADJ
fumecheng-5297	175	68	mechanical	mechanical	ADJ
fumecheng-5297	175	69	properties	property	NOUN
fumecheng-5297	175	70	.	.	PUNCT
fumecheng-5297	176	1	the	the	DET
fumecheng-5297	176	2	mutual	mutual	ADJ
fumecheng-5297	176	3	effect	effect	NOUN
fumecheng-5297	176	4	is	be	AUX
fumecheng-5297	176	5	analyzed	analyze	VERB
fumecheng-5297	176	6	for	for	ADP
fumecheng-5297	176	7	the	the	DET
fumecheng-5297	176	8	case	case	NOUN
fumecheng-5297	176	9	of	of	ADP
fumecheng-5297	176	10	relatively	relatively	ADV
fumecheng-5297	176	11	hard	hard	ADJ
fumecheng-5297	176	12	and	and	CCONJ
fumecheng-5297	176	13	soft	soft	ADJ
fumecheng-5297	176	14	coatings	coating	NOUN
fumecheng-5297	176	15	.	.	PUNCT
fumecheng-5297	177	1	the	the	DET
fumecheng-5297	177	2	results	result	NOUN
fumecheng-5297	177	3	indicate	indicate	VERB
fumecheng-5297	177	4	that	that	SCONJ
fumecheng-5297	177	5	for	for	ADP
fumecheng-5297	177	6	the	the	DET
fumecheng-5297	177	7	case	case	NOUN
fumecheng-5297	177	8	of	of	ADP
fumecheng-5297	177	9	thin	thin	ADJ
fumecheng-5297	177	10	soft	soft	ADJ
fumecheng-5297	177	11	coatings	coating	NOUN
fumecheng-5297	177	12	this	this	DET
fumecheng-5297	177	13	effect	effect	NOUN
fumecheng-5297	177	14	is	be	AUX
fumecheng-5297	177	15	stronger	strong	ADJ
fumecheng-5297	177	16	for	for	ADP
fumecheng-5297	177	17	materials	material	NOUN
fumecheng-5297	177	18	with	with	ADP
fumecheng-5297	177	19	relatively	relatively	ADV
fumecheng-5297	177	20	high	high	ADJ
fumecheng-5297	177	21	value	value	NOUN
fumecheng-5297	177	22	of	of	ADP
fumecheng-5297	177	23	poisson	poisson	PROPN
fumecheng-5297	177	24	ratio	ratio	NOUN
fumecheng-5297	177	25	.	.	PUNCT
fumecheng-5297	178	1	for	for	ADP
fumecheng-5297	178	2	relatively	relatively	ADV
fumecheng-5297	178	3	hard	hard	ADJ
fumecheng-5297	178	4	thin	thin	ADJ
fumecheng-5297	178	5	coatings	coating	NOUN
fumecheng-5297	178	6	due	due	ADP
fumecheng-5297	178	7	to	to	ADP
fumecheng-5297	178	8	the	the	DET
fumecheng-5297	178	9	coating	coating	NOUN
fumecheng-5297	178	10	bending	bend	VERB
fumecheng-5297	178	11	the	the	DET
fumecheng-5297	178	12	real	real	ADJ
fumecheng-5297	178	13	contact	contact	NOUN
fumecheng-5297	178	14	pressure	pressure	NOUN
fumecheng-5297	178	15	distribution	distribution	NOUN
fumecheng-5297	178	16	and	and	CCONJ
fumecheng-5297	178	17	the	the	DET
fumecheng-5297	178	18	real	real	ADJ
fumecheng-5297	178	19	contact	contact	NOUN
fumecheng-5297	178	20	area	area	NOUN
fumecheng-5297	178	21	strongly	strongly	ADV
fumecheng-5297	178	22	depend	depend	VERB
fumecheng-5297	178	23	on	on	ADP
fumecheng-5297	178	24	the	the	DET
fumecheng-5297	178	25	contact	contact	NOUN
fumecheng-5297	178	26	density	density	NOUN
fumecheng-5297	178	27	and	and	CCONJ
fumecheng-5297	178	28	height	height	NOUN
fumecheng-5297	178	29	distribution	distribution	NOUN
fumecheng-5297	178	30	of	of	ADP
fumecheng-5297	178	31	indenters	indenter	NOUN
fumecheng-5297	178	32	,	,	PUNCT
fumecheng-5297	178	33	which	which	PRON
fumecheng-5297	178	34	can	can	AUX
fumecheng-5297	178	35	be	be	AUX
fumecheng-5297	178	36	considered	consider	VERB
fumecheng-5297	178	37	as	as	ADP
fumecheng-5297	178	38	the	the	DET
fumecheng-5297	178	39	model	model	NOUN
fumecheng-5297	178	40	of	of	ADP
fumecheng-5297	178	41	the	the	DET
fumecheng-5297	178	42	asperities	asperity	NOUN
fumecheng-5297	178	43	of	of	ADP
fumecheng-5297	178	44	the	the	DET
fumecheng-5297	178	45	rough	rough	ADJ
fumecheng-5297	178	46	surface	surface	NOUN
fumecheng-5297	178	47	with	with	ADP
fumecheng-5297	178	48	regular	regular	ADJ
fumecheng-5297	178	49	roughness	roughness	NOUN
fumecheng-5297	178	50	.	.	PUNCT
fumecheng-5297	179	1	it	it	PRON
fumecheng-5297	179	2	follows	follow	VERB
fumecheng-5297	179	3	from	from	ADP
fumecheng-5297	179	4	the	the	DET
fumecheng-5297	179	5	results	result	NOUN
fumecheng-5297	179	6	that	that	PRON
fumecheng-5297	179	7	the	the	DET
fumecheng-5297	179	8	internal	internal	ADJ
fumecheng-5297	179	9	stresses	stress	NOUN
fumecheng-5297	179	10	in	in	ADP
fumecheng-5297	179	11	relatively	relatively	ADV
fumecheng-5297	179	12	hard	hard	ADJ
fumecheng-5297	179	13	coatings	coating	NOUN
fumecheng-5297	179	14	also	also	ADV
fumecheng-5297	179	15	depend	depend	VERB
fumecheng-5297	179	16	essentially	essentially	ADV
fumecheng-5297	179	17	on	on	ADP
fumecheng-5297	179	18	the	the	DET
fumecheng-5297	179	19	contact	contact	NOUN
fumecheng-5297	179	20	density	density	NOUN
fumecheng-5297	179	21	and	and	CCONJ
fumecheng-5297	179	22	space	space	NOUN
fumecheng-5297	179	23	distribution	distribution	NOUN
fumecheng-5297	179	24	of	of	ADP
fumecheng-5297	179	25	asperities	asperity	NOUN
fumecheng-5297	179	26	.	.	PUNCT
fumecheng-5297	180	1	tensile	tensile	NOUN
fumecheng-5297	180	2	-	-	PUNCT
fumecheng-5297	180	3	compressive	compressive	ADJ
fumecheng-5297	180	4	and	and	CCONJ
fumecheng-5297	180	5	principal	principal	ADJ
fumecheng-5297	180	6	shear	shear	NOUN
fumecheng-5297	180	7	stresses	stress	NOUN
fumecheng-5297	180	8	are	be	AUX
fumecheng-5297	180	9	very	very	ADV
fumecheng-5297	180	10	different	different	ADJ
fumecheng-5297	180	11	for	for	ADP
fumecheng-5297	180	12	the	the	DET
fumecheng-5297	180	13	cases	case	NOUN
fumecheng-5297	180	14	of	of	ADP
fumecheng-5297	180	15	low	low	ADJ
fumecheng-5297	180	16	and	and	CCONJ
fumecheng-5297	180	17	high	high	ADJ
fumecheng-5297	180	18	density	density	NOUN
fumecheng-5297	180	19	both	both	PRON
fumecheng-5297	180	20	for	for	ADP
fumecheng-5297	180	21	the	the	DET
fumecheng-5297	180	22	surface	surface	NOUN
fumecheng-5297	180	23	and	and	CCONJ
fumecheng-5297	180	24	for	for	ADP
fumecheng-5297	180	25	the	the	DET
fumecheng-5297	180	26	interface	interface	NOUN
fumecheng-5297	180	27	.	.	PUNCT
fumecheng-5297	181	1	for	for	ADP
fumecheng-5297	181	2	the	the	DET
fumecheng-5297	181	3	case	case	NOUN
fumecheng-5297	181	4	of	of	ADP
fumecheng-5297	181	5	high	high	ADJ
fumecheng-5297	181	6	contact	contact	NOUN
fumecheng-5297	181	7	spot	spot	NOUN
fumecheng-5297	181	8	density	density	NOUN
fumecheng-5297	181	9	the	the	DET
fumecheng-5297	181	10	tension	tension	NOUN
fumecheng-5297	181	11	of	of	ADP
fumecheng-5297	181	12	coating	coating	NOUN
fumecheng-5297	181	13	occurs	occur	VERB
fumecheng-5297	181	14	at	at	ADP
fumecheng-5297	181	15	the	the	DET
fumecheng-5297	181	16	layer	layer	NOUN
fumecheng-5297	181	17	-	-	PUNCT
fumecheng-5297	181	18	substrate	substrate	NOUN
fumecheng-5297	181	19	interface	interface	NOUN
fumecheng-5297	181	20	,	,	PUNCT
fumecheng-5297	181	21	but	but	CCONJ
fumecheng-5297	181	22	for	for	ADP
fumecheng-5297	181	23	low	low	ADJ
fumecheng-5297	181	24	density	density	NOUN
fumecheng-5297	181	25	there	there	PRON
fumecheng-5297	181	26	is	be	VERB
fumecheng-5297	181	27	the	the	DET
fumecheng-5297	181	28	compression	compression	NOUN
fumecheng-5297	181	29	.	.	PUNCT
fumecheng-5297	182	1	for	for	ADP
fumecheng-5297	182	2	small	small	ADJ
fumecheng-5297	182	3	contact	contact	NOUN
fumecheng-5297	182	4	density	density	NOUN
fumecheng-5297	182	5	,	,	PUNCT
fumecheng-5297	182	6	interface	interface	NOUN
fumecheng-5297	182	7	tension	tension	NOUN
fumecheng-5297	182	8	is	be	AUX
fumecheng-5297	182	9	realized	realize	VERB
fumecheng-5297	182	10	not	not	PART
fumecheng-5297	182	11	under	under	ADP
fumecheng-5297	182	12	but	but	CCONJ
fumecheng-5297	182	13	between	between	ADP
fumecheng-5297	182	14	indenters	indenter	NOUN
fumecheng-5297	182	15	.	.	PUNCT
fumecheng-5297	183	1	based	base	VERB
fumecheng-5297	183	2	on	on	ADP
fumecheng-5297	183	3	the	the	DET
fumecheng-5297	183	4	results	result	NOUN
fumecheng-5297	183	5	it	it	PRON
fumecheng-5297	183	6	may	may	AUX
fumecheng-5297	183	7	be	be	AUX
fumecheng-5297	183	8	concluded	conclude	VERB
fumecheng-5297	183	9	that	that	SCONJ
fumecheng-5297	183	10	the	the	DET
fumecheng-5297	183	11	mutual	mutual	ADJ
fumecheng-5297	183	12	effect	effect	NOUN
fumecheng-5297	183	13	is	be	AUX
fumecheng-5297	183	14	stronger	strong	ADJ
fumecheng-5297	183	15	for	for	ADP
fumecheng-5297	183	16	hard	hard	ADJ
fumecheng-5297	183	17	coatings	coating	NOUN
fumecheng-5297	183	18	,	,	PUNCT
fumecheng-5297	183	19	than	than	ADP
fumecheng-5297	183	20	for	for	ADP
fumecheng-5297	183	21	the	the	DET
fumecheng-5297	183	22	soft	soft	ADJ
fumecheng-5297	183	23	ones	one	NOUN
fumecheng-5297	183	24	.	.	PUNCT
fumecheng-5297	184	1	the	the	DET
fumecheng-5297	184	2	similar	similar	ADJ
fumecheng-5297	184	3	conclusion	conclusion	NOUN
fumecheng-5297	184	4	was	be	AUX
fumecheng-5297	184	5	made	make	VERB
fumecheng-5297	184	6	from	from	ADP
fumecheng-5297	184	7	the	the	DET
fumecheng-5297	184	8	problem	problem	NOUN
fumecheng-5297	184	9	solution	solution	NOUN
fumecheng-5297	184	10	for	for	ADP
fumecheng-5297	184	11	the	the	DET
fumecheng-5297	184	12	one	one	NUM
fumecheng-5297	184	13	-	-	PUNCT
fumecheng-5297	184	14	level	level	NOUN
fumecheng-5297	184	15	asperity	asperity	NOUN
fumecheng-5297	184	16	model	model	NOUN
fumecheng-5297	184	17	in	in	ADP
fumecheng-5297	184	18	contact	contact	NOUN
fumecheng-5297	184	19	with	with	ADP
fumecheng-5297	184	20	the	the	DET
fumecheng-5297	184	21	two	two	NUM
fumecheng-5297	184	22	-	-	PUNCT
fumecheng-5297	184	23	layered	layer	VERB
fumecheng-5297	184	24	elastic	elastic	ADJ
fumecheng-5297	184	25	half	half	ADJ
fumecheng-5297	184	26	-	-	PUNCT
fumecheng-5297	184	27	space	space	NOUN
fumecheng-5297	184	28	[	[	X
fumecheng-5297	184	29	6	6	NUM
fumecheng-5297	184	30	]	]	PUNCT
fumecheng-5297	184	31	.	.	PUNCT
fumecheng-5297	185	1	acknowledgements	acknowledgement	NOUN
fumecheng-5297	185	2	:	:	PUNCT
fumecheng-5297	185	3	this	this	DET
fumecheng-5297	185	4	work	work	NOUN
fumecheng-5297	185	5	was	be	AUX
fumecheng-5297	185	6	carried	carry	VERB
fumecheng-5297	185	7	out	out	ADP
fumecheng-5297	185	8	under	under	ADP
fumecheng-5297	185	9	the	the	DET
fumecheng-5297	185	10	financial	financial	ADJ
fumecheng-5297	185	11	support	support	NOUN
fumecheng-5297	185	12	of	of	ADP
fumecheng-5297	185	13	the	the	DET
fumecheng-5297	185	14	russian	russian	ADJ
fumecheng-5297	185	15	foundation	foundation	NOUN
fumecheng-5297	185	16	for	for	ADP
fumecheng-5297	185	17	basic	basic	ADJ
fumecheng-5297	185	18	research	research	NOUN
fumecheng-5297	185	19	(	(	PUNCT
fumecheng-5297	185	20	grants	grant	NOUN
fumecheng-5297	185	21	n.	n.	PROPN
fumecheng-5297	185	22	17	17	NUM
fumecheng-5297	185	23	-	-	SYM
fumecheng-5297	185	24	58	58	NUM
fumecheng-5297	185	25	-	-	PUNCT
fumecheng-5297	185	26	52030	52030	NUM
fumecheng-5297	185	27	(	(	PUNCT
fumecheng-5297	185	28	russian	russian	NOUN
fumecheng-5297	185	29	-	-	PUNCT
fumecheng-5297	185	30	taiwan	taiwan	PROPN
fumecheng-5297	185	31	)	)	PUNCT
fumecheng-5297	185	32	and	and	CCONJ
fumecheng-5297	185	33	17	17	NUM
fumecheng-5297	185	34	-	-	SYM
fumecheng-5297	185	35	01	01	NUM
fumecheng-5297	185	36	-	-	PUNCT
fumecheng-5297	185	37	00352	00352	NUM
fumecheng-5297	185	38	)	)	PUNCT
fumecheng-5297	185	39	.	.	PUNCT
fumecheng-5297	186	1	references	reference	NOUN
fumecheng-5297	186	2	1	1	NUM
fumecheng-5297	186	3	.	.	PUNCT
fumecheng-5297	187	1	goryacheva	goryacheva	PROPN
fumecheng-5297	187	2	,	,	PUNCT
fumecheng-5297	187	3	i.g	i.g	PROPN
fumecheng-5297	187	4	.	.	PROPN
fumecheng-5297	187	5	,	,	PUNCT
fumecheng-5297	187	6	martynyak	martynyak	PROPN
fumecheng-5297	187	7	,	,	PUNCT
fumecheng-5297	187	8	r.m	r.m	PROPN
fumecheng-5297	187	9	.	.	PROPN
fumecheng-5297	187	10	,	,	PUNCT
fumecheng-5297	187	11	2014	2014	NUM
fumecheng-5297	187	12	,	,	PUNCT
fumecheng-5297	187	13	contact	contact	NOUN
fumecheng-5297	187	14	problems	problem	NOUN
fumecheng-5297	187	15	for	for	ADP
fumecheng-5297	187	16	textured	textured	ADJ
fumecheng-5297	187	17	surfaces	surface	NOUN
fumecheng-5297	187	18	involving	involve	VERB
fumecheng-5297	187	19	frictional	frictional	ADJ
fumecheng-5297	187	20	effects	effect	NOUN
fumecheng-5297	187	21	,	,	PUNCT
fumecheng-5297	187	22	proceedings	proceeding	NOUN
fumecheng-5297	187	23	of	of	ADP
fumecheng-5297	187	24	the	the	DET
fumecheng-5297	187	25	institution	institution	NOUN
fumecheng-5297	187	26	of	of	ADP
fumecheng-5297	187	27	mechanical	mechanical	ADJ
fumecheng-5297	187	28	engineers	engineer	NOUN
fumecheng-5297	187	29	,	,	PUNCT
fumecheng-5297	187	30	part	part	NOUN
fumecheng-5297	187	31	j	j	PROPN
fumecheng-5297	187	32	:	:	PUNCT
fumecheng-5297	187	33	journal	journal	PROPN
fumecheng-5297	187	34	of	of	ADP
fumecheng-5297	187	35	engineering	engineering	PROPN
fumecheng-5297	187	36	tribology	tribology	PROPN
fumecheng-5297	187	37	,	,	PUNCT
fumecheng-5297	187	38	228(7	228(7	NUM
fumecheng-5297	187	39	)	)	PUNCT
fumecheng-5297	187	40	,	,	PUNCT
fumecheng-5297	187	41	pp	pp	ADP
fumecheng-5297	187	42	.	.	PUNCT
fumecheng-5297	188	1	707	707	NUM
fumecheng-5297	188	2	-	-	SYM
fumecheng-5297	188	3	716	716	NUM
fumecheng-5297	188	4	.	.	NOUN
fumecheng-5297	189	1	2	2	NUM
fumecheng-5297	189	2	.	.	X
fumecheng-5297	189	3	goryacheva	goryacheva	PROPN
fumecheng-5297	189	4	,	,	PUNCT
fumecheng-5297	189	5	i.g	i.g	PROPN
fumecheng-5297	189	6	.	.	PROPN
fumecheng-5297	189	7	,	,	PUNCT
fumecheng-5297	189	8	1998	1998	NUM
fumecheng-5297	189	9	,	,	PUNCT
fumecheng-5297	189	10	contact	contact	NOUN
fumecheng-5297	189	11	mechanics	mechanic	NOUN
fumecheng-5297	189	12	in	in	ADP
fumecheng-5297	189	13	tribology	tribology	NOUN
fumecheng-5297	189	14	,	,	PUNCT
fumecheng-5297	189	15	dordercht	dordercht	PROPN
fumecheng-5297	189	16	:	:	PUNCT
fumecheng-5297	189	17	kluwer	kluwer	PROPN
fumecheng-5297	189	18	academic	academic	ADJ
fumecheng-5297	189	19	publ	publ	NOUN
fumecheng-5297	189	20	,	,	PUNCT
fumecheng-5297	189	21	344	344	NUM
fumecheng-5297	189	22	p.	p.	NOUN
fumecheng-5297	189	23	3	3	NUM
fumecheng-5297	189	24	.	.	PUNCT
fumecheng-5297	189	25	yastrebov	yastrebov	PROPN
fumecheng-5297	189	26	,	,	PUNCT
fumecheng-5297	189	27	v.a	v.a	PROPN
fumecheng-5297	189	28	.	.	PROPN
fumecheng-5297	189	29	,	,	PUNCT
fumecheng-5297	189	30	anciaux	anciaux	PROPN
fumecheng-5297	189	31	,	,	PUNCT
fumecheng-5297	189	32	g.	g.	PROPN
fumecheng-5297	189	33	,	,	PUNCT
fumecheng-5297	189	34	molinari	molinari	PROPN
fumecheng-5297	189	35	,	,	PUNCT
fumecheng-5297	189	36	j	j	PROPN
fumecheng-5297	189	37	-	-	PROPN
fumecheng-5297	189	38	f.	f.	PROPN
fumecheng-5297	189	39	,	,	PUNCT
fumecheng-5297	189	40	2014	2014	NUM
fumecheng-5297	189	41	,	,	PUNCT
fumecheng-5297	189	42	the	the	DET
fumecheng-5297	189	43	contact	contact	NOUN
fumecheng-5297	189	44	of	of	ADP
fumecheng-5297	189	45	elastic	elastic	ADJ
fumecheng-5297	189	46	regular	regular	ADJ
fumecheng-5297	189	47	wavy	wavy	ADJ
fumecheng-5297	189	48	surfaces	surface	NOUN
fumecheng-5297	189	49	revisited	revisit	VERB
fumecheng-5297	189	50	,	,	PUNCT
fumecheng-5297	189	51	tribology	tribology	NOUN
fumecheng-5297	189	52	letters	letter	NOUN
fumecheng-5297	189	53	,	,	PUNCT
fumecheng-5297	189	54	56	56	NUM
fumecheng-5297	189	55	,	,	PUNCT
fumecheng-5297	189	56	pp	pp	ADJ
fumecheng-5297	189	57	.	.	PUNCT
fumecheng-5297	190	1	171	171	NUM
fumecheng-5297	190	2	-	-	SYM
fumecheng-5297	190	3	183	183	NUM
fumecheng-5297	190	4	.	.	PUNCT
fumecheng-5297	191	1	4	4	NUM
fumecheng-5297	191	2	.	.	X
fumecheng-5297	191	3	argatov	argatov	PROPN
fumecheng-5297	191	4	,	,	PUNCT
fumecheng-5297	191	5	i.i	i.i	PROPN
fumecheng-5297	191	6	.	.	PROPN
fumecheng-5297	191	7	,	,	PUNCT
fumecheng-5297	191	8	li	li	PROPN
fumecheng-5297	191	9	,	,	PUNCT
fumecheng-5297	191	10	q.	q.	PROPN
fumecheng-5297	191	11	,	,	PUNCT
fumecheng-5297	191	12	popov	popov	PROPN
fumecheng-5297	191	13	,	,	PUNCT
fumecheng-5297	191	14	v.l	v.l	PROPN
fumecheng-5297	191	15	.	.	PROPN
fumecheng-5297	191	16	,	,	PUNCT
fumecheng-5297	191	17	2019	2019	NUM
fumecheng-5297	191	18	,	,	PUNCT
fumecheng-5297	191	19	cluster	cluster	NOUN
fumecheng-5297	191	20	of	of	ADP
fumecheng-5297	191	21	the	the	DET
fumecheng-5297	191	22	kendall	kendall	NOUN
fumecheng-5297	191	23	-	-	PUNCT
fumecheng-5297	191	24	type	type	NOUN
fumecheng-5297	191	25	adhesive	adhesive	ADJ
fumecheng-5297	191	26	microcontacts	microcontact	NOUN
fumecheng-5297	191	27	as	as	ADP
fumecheng-5297	191	28	a	a	DET
fumecheng-5297	191	29	simple	simple	ADJ
fumecheng-5297	191	30	model	model	NOUN
fumecheng-5297	191	31	for	for	ADP
fumecheng-5297	191	32	load	load	NOUN
fumecheng-5297	191	33	sharing	share	VERB
fumecheng-5297	191	34	in	in	ADP
fumecheng-5297	191	35	bioinspired	bioinspired	ADJ
fumecheng-5297	191	36	fibrillar	fibrillar	ADJ
fumecheng-5297	191	37	adhesives	adhesive	NOUN
fumecheng-5297	191	38	,	,	PUNCT
fumecheng-5297	191	39	archive	archive	NOUN
fumecheng-5297	191	40	of	of	ADP
fumecheng-5297	191	41	applied	apply	VERB
fumecheng-5297	191	42	mechanics	mechanic	NOUN
fumecheng-5297	191	43	,	,	PUNCT
fumecheng-5297	191	44	3	3	NUM
fumecheng-5297	191	45	,	,	PUNCT
fumecheng-5297	191	46	pp	pp	ADJ
fumecheng-5297	191	47	.	.	PUNCT
fumecheng-5297	192	1	1	1	NUM
fumecheng-5297	192	2	-	-	SYM
fumecheng-5297	192	3	26	26	NUM
fumecheng-5297	192	4	.	.	PUNCT
fumecheng-5297	193	1	5	5	NUM
fumecheng-5297	193	2	.	.	X
fumecheng-5297	193	3	argatov	argatov	PROPN
fumecheng-5297	193	4	,	,	PUNCT
fumecheng-5297	193	5	i.i	i.i	PROPN
fumecheng-5297	193	6	.	.	PROPN
fumecheng-5297	193	7	,	,	PUNCT
fumecheng-5297	193	8	2012	2012	NUM
fumecheng-5297	193	9	,	,	PUNCT
fumecheng-5297	193	10	the	the	DET
fumecheng-5297	193	11	contact	contact	NOUN
fumecheng-5297	193	12	problem	problem	NOUN
fumecheng-5297	193	13	for	for	ADP
fumecheng-5297	193	14	a	a	DET
fumecheng-5297	193	15	periodic	periodic	ADJ
fumecheng-5297	193	16	cluster	cluster	NOUN
fumecheng-5297	193	17	of	of	ADP
fumecheng-5297	193	18	microcontacts	microcontact	NOUN
fumecheng-5297	193	19	,	,	PUNCT
fumecheng-5297	193	20	journal	journal	NOUN
fumecheng-5297	193	21	of	of	ADP
fumecheng-5297	193	22	applied	apply	VERB
fumecheng-5297	193	23	mathematics	mathematic	NOUN
fumecheng-5297	193	24	and	and	CCONJ
fumecheng-5297	193	25	mechanics	mechanic	NOUN
fumecheng-5297	193	26	,	,	PUNCT
fumecheng-5297	193	27	76	76	NUM
fumecheng-5297	193	28	,	,	PUNCT
fumecheng-5297	193	29	pp	pp	ADJ
fumecheng-5297	193	30	.	.	PUNCT
fumecheng-5297	194	1	604–610	604–610	NUM
fumecheng-5297	194	2	.	.	PUNCT
fumecheng-5297	195	1	6	6	NUM
fumecheng-5297	195	2	.	.	X
fumecheng-5297	195	3	goryacheva	goryacheva	PROPN
fumecheng-5297	195	4	,	,	PUNCT
fumecheng-5297	195	5	i.g	i.g	PROPN
fumecheng-5297	195	6	..	..	PROPN
fumecheng-5297	195	7	torskaya	torskaya	PROPN
fumecheng-5297	195	8	,	,	PUNCT
fumecheng-5297	195	9	e.v	e.v	PROPN
fumecheng-5297	195	10	.	.	PROPN
fumecheng-5297	195	11	,	,	PUNCT
fumecheng-5297	195	12	2003	2003	NUM
fumecheng-5297	195	13	,	,	PUNCT
fumecheng-5297	195	14	stress	stress	NOUN
fumecheng-5297	195	15	and	and	CCONJ
fumecheng-5297	195	16	fracture	fracture	ADJ
fumecheng-5297	195	17	analysis	analysis	NOUN
fumecheng-5297	195	18	in	in	ADP
fumecheng-5297	195	19	periodic	periodic	ADJ
fumecheng-5297	195	20	contact	contact	NOUN
fumecheng-5297	195	21	problem	problem	NOUN
fumecheng-5297	195	22	for	for	ADP
fumecheng-5297	195	23	coated	coated	ADJ
fumecheng-5297	195	24	bodies	body	NOUN
fumecheng-5297	195	25	,	,	PUNCT
fumecheng-5297	195	26	fatigue	fatigue	NOUN
fumecheng-5297	195	27	and	and	CCONJ
fumecheng-5297	195	28	fracture	fracture	NOUN
fumecheng-5297	195	29	of	of	ADP
fumecheng-5297	195	30	engineering	engineering	NOUN
fumecheng-5297	195	31	materials	material	NOUN
fumecheng-5297	195	32	and	and	CCONJ
fumecheng-5297	195	33	structures	structure	NOUN
fumecheng-5297	195	34	,	,	PUNCT
fumecheng-5297	195	35	26(4	26(4	NUM
fumecheng-5297	195	36	)	)	PUNCT
fumecheng-5297	195	37	,	,	PUNCT
fumecheng-5297	195	38	pp	pp	ADJ
fumecheng-5297	195	39	.	.	PUNCT
fumecheng-5297	196	1	343	343	NUM
fumecheng-5297	196	2	-	-	SYM
fumecheng-5297	196	3	348	348	NUM
fumecheng-5297	196	4	.	.	PUNCT
fumecheng-5297	197	1	7	7	X
fumecheng-5297	197	2	.	.	X
fumecheng-5297	197	3	cole	cole	PROPN
fumecheng-5297	197	4	,	,	PUNCT
fumecheng-5297	197	5	s.j	s.j	PROPN
fumecheng-5297	197	6	.	.	PROPN
fumecheng-5297	197	7	,	,	PUNCT
fumecheng-5297	197	8	sayles	sayles	PROPN
fumecheng-5297	197	9	,	,	PUNCT
fumecheng-5297	197	10	r.s	r.s	PROPN
fumecheng-5297	197	11	.	.	PROPN
fumecheng-5297	197	12	,	,	PUNCT
fumecheng-5297	197	13	1991	1991	NUM
fumecheng-5297	197	14	,	,	PUNCT
fumecheng-5297	197	15	a	a	DET
fumecheng-5297	197	16	numerical	numerical	ADJ
fumecheng-5297	197	17	model	model	NOUN
fumecheng-5297	197	18	for	for	ADP
fumecheng-5297	197	19	the	the	DET
fumecheng-5297	197	20	contact	contact	NOUN
fumecheng-5297	197	21	of	of	ADP
fumecheng-5297	197	22	layered	layered	ADJ
fumecheng-5297	197	23	elastic	elastic	ADJ
fumecheng-5297	197	24	bodies	body	NOUN
fumecheng-5297	197	25	with	with	ADP
fumecheng-5297	197	26	real	real	ADJ
fumecheng-5297	197	27	rough	rough	ADJ
fumecheng-5297	197	28	surfaces	surface	NOUN
fumecheng-5297	197	29	,	,	PUNCT
fumecheng-5297	197	30	journal	journal	NOUN
fumecheng-5297	197	31	of	of	ADP
fumecheng-5297	197	32	tribology	tribology	NOUN
fumecheng-5297	197	33	,	,	PUNCT
fumecheng-5297	197	34	11	11	NUM
fumecheng-5297	197	35	,	,	PUNCT
fumecheng-5297	197	36	pp	pp	ADJ
fumecheng-5297	197	37	.	.	PUNCT
fumecheng-5297	198	1	334	334	NUM
fumecheng-5297	198	2	-	-	SYM
fumecheng-5297	198	3	340	340	NUM
fumecheng-5297	198	4	.	.	PUNCT
fumecheng-5297	199	1	8	8	NUM
fumecheng-5297	199	2	.	.	X
fumecheng-5297	200	1	torskaya	torskaya	PROPN
fumecheng-5297	200	2	,	,	PUNCT
fumecheng-5297	200	3	e.v	e.v	PROPN
fumecheng-5297	200	4	.	.	PROPN
fumecheng-5297	200	5	,	,	PUNCT
fumecheng-5297	200	6	2012	2012	NUM
fumecheng-5297	200	7	,	,	PUNCT
fumecheng-5297	200	8	modeling	modeling	NOUN
fumecheng-5297	200	9	of	of	ADP
fumecheng-5297	200	10	frictional	frictional	ADJ
fumecheng-5297	200	11	interaction	interaction	NOUN
fumecheng-5297	200	12	of	of	ADP
fumecheng-5297	200	13	a	a	DET
fumecheng-5297	200	14	rough	rough	ADJ
fumecheng-5297	200	15	indenter	indenter	NOUN
fumecheng-5297	200	16	and	and	CCONJ
fumecheng-5297	200	17	a	a	DET
fumecheng-5297	200	18	two	two	NUM
fumecheng-5297	200	19	-	-	PUNCT
fumecheng-5297	200	20	layered	layer	VERB
fumecheng-5297	200	21	elastic	elastic	ADJ
fumecheng-5297	200	22	half	half	ADJ
fumecheng-5297	200	23	-	-	PUNCT
fumecheng-5297	200	24	space	space	NOUN
fumecheng-5297	200	25	,	,	PUNCT
fumecheng-5297	200	26	physical	physical	ADJ
fumecheng-5297	200	27	mesomechanics	mesomechanic	NOUN
fumecheng-5297	200	28	,	,	PUNCT
fumecheng-5297	200	29	15(3	15(3	NUM
fumecheng-5297	200	30	-	-	SYM
fumecheng-5297	200	31	4	4	NUM
fumecheng-5297	200	32	)	)	PUNCT
fumecheng-5297	200	33	,	,	PUNCT
fumecheng-5297	200	34	pp	pp	ADJ
fumecheng-5297	200	35	.	.	PUNCT
fumecheng-5297	201	1	245	245	NUM
fumecheng-5297	201	2	-	-	SYM
fumecheng-5297	201	3	250	250	NUM
fumecheng-5297	201	4	.	.	PUNCT
fumecheng-5297	202	1	9	9	X
fumecheng-5297	202	2	.	.	X
fumecheng-5297	203	1	nyqvist	nyqvist	PROPN
fumecheng-5297	203	2	,	,	PUNCT
fumecheng-5297	203	3	j.t	j.t	PROPN
fumecheng-5297	203	4	.	.	PROPN
fumecheng-5297	203	5	,	,	PUNCT
fumecheng-5297	203	6	kadiric	kadiric	PROPN
fumecheng-5297	203	7	,	,	PUNCT
fumecheng-5297	203	8	a.	a.	NOUN
fumecheng-5297	203	9	,	,	PUNCT
fumecheng-5297	203	10	sayles	sayles	PROPN
fumecheng-5297	203	11	,	,	PUNCT
fumecheng-5297	203	12	r.s	r.s	PROPN
fumecheng-5297	203	13	.	.	PROPN
fumecheng-5297	203	14	,	,	PUNCT
fumecheng-5297	203	15	ioannides	ioannides	PROPN
fumecheng-5297	203	16	,	,	PUNCT
fumecheng-5297	203	17	e.	e.	PROPN
fumecheng-5297	203	18	,	,	PUNCT
fumecheng-5297	203	19	2013	2013	NUM
fumecheng-5297	203	20	,	,	PUNCT
fumecheng-5297	203	21	three	three	NUM
fumecheng-5297	203	22	-	-	PUNCT
fumecheng-5297	203	23	dimensional	dimensional	ADJ
fumecheng-5297	203	24	analysis	analysis	NOUN
fumecheng-5297	203	25	of	of	ADP
fumecheng-5297	203	26	multilayered	multilayered	ADJ
fumecheng-5297	203	27	rough	rough	ADJ
fumecheng-5297	203	28	surface	surface	NOUN
fumecheng-5297	203	29	contact	contact	NOUN
fumecheng-5297	203	30	,	,	PUNCT
fumecheng-5297	203	31	proc	proc	NOUN
fumecheng-5297	203	32	.	.	PUNCT
fumecheng-5297	204	1	5th	5th	ADJ
fumecheng-5297	204	2	world	world	PROPN
fumecheng-5297	204	3	tribology	tribology	PROPN
fumecheng-5297	204	4	congress	congress	PROPN
fumecheng-5297	204	5	,	,	PUNCT
fumecheng-5297	204	6	torino	torino	PROPN
fumecheng-5297	204	7	,	,	PUNCT
fumecheng-5297	204	8	italy	italy	PROPN
fumecheng-5297	204	9	.	.	PUNCT
fumecheng-5297	205	1	10	10	NUM
fumecheng-5297	205	2	.	.	PUNCT
fumecheng-5297	206	1	goryacheva	goryacheva	PROPN
fumecheng-5297	206	2	,	,	PUNCT
fumecheng-5297	206	3	i.g	i.g	PROPN
fumecheng-5297	206	4	.	.	PROPN
fumecheng-5297	206	5	,	,	PUNCT
fumecheng-5297	206	6	torskaya	torskaya	PROPN
fumecheng-5297	206	7	,	,	PUNCT
fumecheng-5297	206	8	e.v	e.v	PROPN
fumecheng-5297	206	9	.	.	PROPN
fumecheng-5297	206	10	,	,	PUNCT
fumecheng-5297	206	11	2016	2016	NUM
fumecheng-5297	206	12	,	,	PUNCT
fumecheng-5297	206	13	modeling	model	VERB
fumecheng-5297	206	14	the	the	DET
fumecheng-5297	206	15	influence	influence	NOUN
fumecheng-5297	206	16	of	of	ADP
fumecheng-5297	206	17	the	the	DET
fumecheng-5297	206	18	coating	coating	NOUN
fumecheng-5297	206	19	deposition	deposition	NOUN
fumecheng-5297	206	20	technology	technology	NOUN
fumecheng-5297	206	21	on	on	ADP
fumecheng-5297	206	22	the	the	DET
fumecheng-5297	206	23	contact	contact	NOUN
fumecheng-5297	206	24	interaction	interaction	NOUN
fumecheng-5297	206	25	characteristics	characteristic	NOUN
fumecheng-5297	206	26	,	,	PUNCT
fumecheng-5297	206	27	mechanics	mechanic	NOUN
fumecheng-5297	206	28	of	of	ADP
fumecheng-5297	206	29	solids	solid	NOUN
fumecheng-5297	206	30	,	,	PUNCT
fumecheng-5297	206	31	51(5	51(5	NUM
fumecheng-5297	206	32	)	)	PUNCT
fumecheng-5297	206	33	,	,	PUNCT
fumecheng-5297	206	34	pp	pp	ADJ
fumecheng-5297	206	35	.	.	PUNCT
fumecheng-5297	207	1	550	550	NUM
fumecheng-5297	207	2	-	-	SYM
fumecheng-5297	207	3	556	556	NUM
fumecheng-5297	207	4	.	.	NOUN
fumecheng-5297	207	5	11	11	NUM
fumecheng-5297	207	6	.	.	PUNCT
fumecheng-5297	208	1	nikishin	nikishin	PROPN
fumecheng-5297	208	2	,	,	PUNCT
fumecheng-5297	208	3	v.s.	v.s.	PROPN
fumecheng-5297	208	4	,	,	PUNCT
fumecheng-5297	208	5	shapiro	shapiro	PROPN
fumecheng-5297	208	6	,	,	PUNCT
fumecheng-5297	208	7	g.s	g.s	PROPN
fumecheng-5297	208	8	.	.	PROPN
fumecheng-5297	208	9	,	,	PUNCT
fumecheng-5297	208	10	1970	1970	NUM
fumecheng-5297	208	11	,	,	PUNCT
fumecheng-5297	208	12	space	space	NOUN
fumecheng-5297	208	13	problems	problem	NOUN
fumecheng-5297	208	14	of	of	ADP
fumecheng-5297	208	15	the	the	DET
fumecheng-5297	208	16	elasticity	elasticity	NOUN
fumecheng-5297	208	17	theory	theory	NOUN
fumecheng-5297	208	18	for	for	ADP
fumecheng-5297	208	19	multilayered	multilayered	ADJ
fumecheng-5297	208	20	media	medium	NOUN
fumecheng-5297	208	21	,	,	PUNCT
fumecheng-5297	208	22	moscow	moscow	PROPN
fumecheng-5297	208	23	:	:	PUNCT
fumecheng-5297	208	24	vts	vts	NOUN
fumecheng-5297	208	25	an	an	DET
fumecheng-5297	208	26	sssr	sssr	NOUN
fumecheng-5297	208	27	,	,	PUNCT
fumecheng-5297	208	28	260p	260p	NUM
fumecheng-5297	208	29	.	.	PUNCT
fumecheng-5297	209	1	(	(	PUNCT
fumecheng-5297	209	2	in	in	ADP
fumecheng-5297	209	3	russian	russian	NOUN
fumecheng-5297	209	4	)	)	PUNCT
fumecheng-5297	209	5	.	.	PUNCT