id	sid	tid	token	lemma	pos
fumecheng-5058	1	1	facta	facta	PROPN
fumecheng-5058	1	2	universitatis	universitatis	PROPN
fumecheng-5058	1	3	series	series	NOUN
fumecheng-5058	1	4	:	:	PUNCT
fumecheng-5058	1	5	mechanical	mechanical	ADJ
fumecheng-5058	1	6	engineering	engineering	NOUN
fumecheng-5058	1	7	vol	vol	NOUN
fumecheng-5058	1	8	.	.	PROPN
fumecheng-5058	2	1	17	17	NUM
fumecheng-5058	2	2	,	,	PUNCT
fumecheng-5058	2	3	no	no	DET
fumecheng-5058	2	4	2	2	NUM
fumecheng-5058	2	5	,	,	PUNCT
fumecheng-5058	2	6	2019	2019	NUM
fumecheng-5058	2	7	,	,	PUNCT
fumecheng-5058	2	8	pp	pp	ADV
fumecheng-5058	2	9	.	.	PUNCT
fumecheng-5058	3	1	181	181	NUM
fumecheng-5058	3	2	190	190	NUM
fumecheng-5058	3	3	https://doi.org/10.22190/fume190330024a	https://doi.org/10.22190/fume190330024a	PROPN
fumecheng-5058	3	4	©	©	PROPN
fumecheng-5058	3	5	2019	2019	NUM
fumecheng-5058	3	6	by	by	ADP
fumecheng-5058	3	7	university	university	PROPN
fumecheng-5058	3	8	of	of	ADP
fumecheng-5058	3	9	niš	niš	PROPN
fumecheng-5058	3	10	,	,	PUNCT
fumecheng-5058	3	11	serbia	serbia	PROPN
fumecheng-5058	3	12	|	|	ADV
fumecheng-5058	3	13	creative	creative	ADJ
fumecheng-5058	3	14	commons	common	NOUN
fumecheng-5058	3	15	license	license	NOUN
fumecheng-5058	3	16	:	:	PUNCT
fumecheng-5058	3	17	cc	cc	VERB
fumecheng-5058	3	18	by	by	ADP
fumecheng-5058	3	19	-	-	PUNCT
fumecheng-5058	3	20	nc	nc	VERB
fumecheng-5058	3	21	-	-	PUNCT
fumecheng-5058	3	22	nd	nd	ADV
fumecheng-5058	3	23	original	original	ADJ
fumecheng-5058	3	24	scientific	scientific	ADJ
fumecheng-5058	3	25	paper1	paper1	NOUN
fumecheng-5058	3	26	from	from	ADP
fumecheng-5058	3	27	winkler	winkler	PROPN
fumecheng-5058	3	28	’s	’s	PART
fumecheng-5058	3	29	foundation	foundation	NOUN
fumecheng-5058	3	30	to	to	ADP
fumecheng-5058	3	31	popov	popov	PROPN
fumecheng-5058	3	32	’s	’s	PART
fumecheng-5058	3	33	foundation	foundation	PROPN
fumecheng-5058	3	34	ivan	ivan	PROPN
fumecheng-5058	3	35	argatov	argatov	PROPN
fumecheng-5058	3	36	department	department	PROPN
fumecheng-5058	3	37	of	of	ADP
fumecheng-5058	3	38	materials	material	NOUN
fumecheng-5058	3	39	science	science	NOUN
fumecheng-5058	3	40	and	and	CCONJ
fumecheng-5058	3	41	applied	applied	ADJ
fumecheng-5058	3	42	mathematics	mathematic	NOUN
fumecheng-5058	3	43	,	,	PUNCT
fumecheng-5058	3	44	faculty	faculty	NOUN
fumecheng-5058	3	45	of	of	ADP
fumecheng-5058	3	46	technology	technology	NOUN
fumecheng-5058	3	47	and	and	CCONJ
fumecheng-5058	3	48	society	society	NOUN
fumecheng-5058	3	49	,	,	PUNCT
fumecheng-5058	3	50	malmö	malmö	PROPN
fumecheng-5058	3	51	university	university	PROPN
fumecheng-5058	3	52	,	,	PUNCT
fumecheng-5058	3	53	malmö	malmö	PROPN
fumecheng-5058	3	54	,	,	PUNCT
fumecheng-5058	3	55	sweden	sweden	PROPN
fumecheng-5058	3	56	abstract	abstract	NOUN
fumecheng-5058	3	57	.	.	PUNCT
fumecheng-5058	4	1	in	in	ADP
fumecheng-5058	4	2	recent	recent	ADJ
fumecheng-5058	4	3	years	year	NOUN
fumecheng-5058	4	4	,	,	PUNCT
fumecheng-5058	4	5	the	the	DET
fumecheng-5058	4	6	method	method	NOUN
fumecheng-5058	4	7	of	of	ADP
fumecheng-5058	4	8	dimensionality	dimensionality	NOUN
fumecheng-5058	4	9	reduction	reduction	NOUN
fumecheng-5058	4	10	(	(	PUNCT
fumecheng-5058	4	11	mdr	mdr	NOUN
fumecheng-5058	4	12	)	)	PUNCT
fumecheng-5058	4	13	has	have	AUX
fumecheng-5058	4	14	started	start	VERB
fumecheng-5058	4	15	to	to	PART
fumecheng-5058	4	16	figure	figure	VERB
fumecheng-5058	4	17	as	as	ADP
fumecheng-5058	4	18	a	a	DET
fumecheng-5058	4	19	very	very	ADV
fumecheng-5058	4	20	convenient	convenient	ADJ
fumecheng-5058	4	21	tool	tool	NOUN
fumecheng-5058	4	22	for	for	ADP
fumecheng-5058	4	23	dealing	deal	VERB
fumecheng-5058	4	24	with	with	ADP
fumecheng-5058	4	25	a	a	DET
fumecheng-5058	4	26	wide	wide	ADJ
fumecheng-5058	4	27	class	class	NOUN
fumecheng-5058	4	28	of	of	ADP
fumecheng-5058	4	29	elastic	elastic	ADJ
fumecheng-5058	4	30	contact	contact	NOUN
fumecheng-5058	4	31	problems	problem	NOUN
fumecheng-5058	4	32	.	.	PUNCT
fumecheng-5058	5	1	the	the	DET
fumecheng-5058	5	2	mdr	mdr	PROPN
fumecheng-5058	5	3	modeling	model	VERB
fumecheng-5058	5	4	framework	framework	NOUN
fumecheng-5058	5	5	introduces	introduce	VERB
fumecheng-5058	5	6	an	an	DET
fumecheng-5058	5	7	equivalent	equivalent	ADJ
fumecheng-5058	5	8	punch	punch	NOUN
fumecheng-5058	5	9	profile	profile	NOUN
fumecheng-5058	5	10	and	and	CCONJ
fumecheng-5058	5	11	a	a	DET
fumecheng-5058	5	12	one	one	NUM
fumecheng-5058	5	13	-	-	PUNCT
fumecheng-5058	5	14	dimensional	dimensional	ADJ
fumecheng-5058	5	15	winkler	winkler	NOUN
fumecheng-5058	5	16	-	-	PUNCT
fumecheng-5058	5	17	type	type	NOUN
fumecheng-5058	5	18	elastic	elastic	ADJ
fumecheng-5058	5	19	foundation	foundation	NOUN
fumecheng-5058	5	20	,	,	PUNCT
fumecheng-5058	5	21	called	call	VERB
fumecheng-5058	5	22	henceforth	henceforth	ADV
fumecheng-5058	5	23	popov	popov	PROPN
fumecheng-5058	5	24	’s	’s	PART
fumecheng-5058	5	25	foundation	foundation	PROPN
fumecheng-5058	5	26	.	.	PUNCT
fumecheng-5058	6	1	while	while	SCONJ
fumecheng-5058	6	2	the	the	DET
fumecheng-5058	6	3	former	former	ADJ
fumecheng-5058	6	4	mainly	mainly	ADV
fumecheng-5058	6	5	accounts	account	VERB
fumecheng-5058	6	6	for	for	ADP
fumecheng-5058	6	7	the	the	DET
fumecheng-5058	6	8	geometry	geometry	NOUN
fumecheng-5058	6	9	of	of	ADP
fumecheng-5058	6	10	contact	contact	NOUN
fumecheng-5058	6	11	configuration	configuration	NOUN
fumecheng-5058	6	12	,	,	PUNCT
fumecheng-5058	6	13	the	the	DET
fumecheng-5058	6	14	popov	popov	PROPN
fumecheng-5058	6	15	foundation	foundation	PROPN
fumecheng-5058	6	16	inherits	inherit	VERB
fumecheng-5058	6	17	the	the	DET
fumecheng-5058	6	18	main	main	ADJ
fumecheng-5058	6	19	characteristics	characteristic	NOUN
fumecheng-5058	6	20	of	of	ADP
fumecheng-5058	6	21	both	both	CCONJ
fumecheng-5058	6	22	the	the	DET
fumecheng-5058	6	23	contact	contact	NOUN
fumecheng-5058	6	24	interface	interface	NOUN
fumecheng-5058	6	25	(	(	PUNCT
fumecheng-5058	6	26	like	like	ADP
fumecheng-5058	6	27	friction	friction	NOUN
fumecheng-5058	6	28	and	and	CCONJ
fumecheng-5058	6	29	adhesion	adhesion	NOUN
fumecheng-5058	6	30	)	)	PUNCT
fumecheng-5058	6	31	and	and	CCONJ
fumecheng-5058	6	32	the	the	DET
fumecheng-5058	6	33	contacting	contact	VERB
fumecheng-5058	6	34	elastic	elastic	ADJ
fumecheng-5058	6	35	bodies	body	NOUN
fumecheng-5058	6	36	(	(	PUNCT
fumecheng-5058	6	37	e.g.	e.g.	ADV
fumecheng-5058	6	38	,	,	PUNCT
fumecheng-5058	6	39	anisotropy	anisotropy	VERB
fumecheng-5058	6	40	,	,	PUNCT
fumecheng-5058	6	41	viscoelasticity	viscoelasticity	NOUN
fumecheng-5058	6	42	or	or	CCONJ
fumecheng-5058	6	43	inhomogeneity	inhomogeneity	NUM
fumecheng-5058	6	44	)	)	PUNCT
fumecheng-5058	6	45	.	.	PUNCT
fumecheng-5058	7	1	the	the	DET
fumecheng-5058	7	2	discussion	discussion	NOUN
fumecheng-5058	7	3	is	be	AUX
fumecheng-5058	7	4	illustrated	illustrate	VERB
fumecheng-5058	7	5	with	with	ADP
fumecheng-5058	7	6	an	an	DET
fumecheng-5058	7	7	example	example	NOUN
fumecheng-5058	7	8	of	of	ADP
fumecheng-5058	7	9	the	the	DET
fumecheng-5058	7	10	kendall	kendall	NOUN
fumecheng-5058	7	11	-	-	PUNCT
fumecheng-5058	7	12	type	type	NOUN
fumecheng-5058	7	13	adhesive	adhesive	ADJ
fumecheng-5058	7	14	contact	contact	NOUN
fumecheng-5058	7	15	for	for	ADP
fumecheng-5058	7	16	an	an	DET
fumecheng-5058	7	17	isotropic	isotropic	ADJ
fumecheng-5058	7	18	elastic	elastic	ADJ
fumecheng-5058	7	19	half	half	ADJ
fumecheng-5058	7	20	-	-	PUNCT
fumecheng-5058	7	21	space	space	NOUN
fumecheng-5058	7	22	.	.	PUNCT
fumecheng-5058	8	1	key	key	ADJ
fumecheng-5058	8	2	words	word	NOUN
fumecheng-5058	8	3	:	:	PUNCT
fumecheng-5058	8	4	elastic	elastic	ADJ
fumecheng-5058	8	5	contact	contact	NOUN
fumecheng-5058	8	6	,	,	PUNCT
fumecheng-5058	8	7	winkler	winkler	PROPN
fumecheng-5058	8	8	foundation	foundation	PROPN
fumecheng-5058	8	9	,	,	PUNCT
fumecheng-5058	8	10	method	method	NOUN
fumecheng-5058	8	11	of	of	ADP
fumecheng-5058	8	12	dimensionality	dimensionality	NOUN
fumecheng-5058	8	13	reduction	reduction	NOUN
fumecheng-5058	8	14	,	,	PUNCT
fumecheng-5058	8	15	contact	contact	NOUN
fumecheng-5058	8	16	stiffness	stiffness	NOUN
fumecheng-5058	8	17	,	,	PUNCT
fumecheng-5058	8	18	adhesion	adhesion	NOUN
fumecheng-5058	8	19	strength	strength	NOUN
fumecheng-5058	8	20	1	1	NUM
fumecheng-5058	8	21	.	.	PUNCT
fumecheng-5058	9	1	introduction	introduction	NOUN
fumecheng-5058	9	2	contact	contact	NOUN
fumecheng-5058	9	3	phenomena	phenomena	PROPN
fumecheng-5058	9	4	[	[	X
fumecheng-5058	9	5	1,2	1,2	NUM
fumecheng-5058	9	6	]	]	PUNCT
fumecheng-5058	9	7	can	can	AUX
fumecheng-5058	9	8	be	be	AUX
fumecheng-5058	9	9	encountered	encounter	VERB
fumecheng-5058	9	10	in	in	ADP
fumecheng-5058	9	11	diverse	diverse	ADJ
fumecheng-5058	9	12	applications	application	NOUN
fumecheng-5058	9	13	ranging	range	VERB
fumecheng-5058	9	14	from	from	ADP
fumecheng-5058	9	15	engineering	engineering	NOUN
fumecheng-5058	9	16	(	(	PUNCT
fumecheng-5058	9	17	wheel	wheel	NOUN
fumecheng-5058	9	18	/	/	SYM
fumecheng-5058	9	19	rail	rail	NOUN
fumecheng-5058	9	20	contact	contact	NOUN
fumecheng-5058	9	21	[	[	X
fumecheng-5058	9	22	3	3	NUM
fumecheng-5058	9	23	]	]	PUNCT
fumecheng-5058	9	24	,	,	PUNCT
fumecheng-5058	9	25	tribological	tribological	ADJ
fumecheng-5058	9	26	systems	system	NOUN
fumecheng-5058	9	27	[	[	X
fumecheng-5058	9	28	4	4	NUM
fumecheng-5058	9	29	]	]	PUNCT
fumecheng-5058	9	30	,	,	PUNCT
fumecheng-5058	9	31	etc	etc	X
fumecheng-5058	9	32	.	.	X
fumecheng-5058	9	33	)	)	PUNCT
fumecheng-5058	9	34	to	to	ADP
fumecheng-5058	9	35	medicine	medicine	NOUN
fumecheng-5058	9	36	(	(	PUNCT
fumecheng-5058	9	37	e.g.	e.g.	ADV
fumecheng-5058	9	38	,	,	PUNCT
fumecheng-5058	9	39	contact	contact	NOUN
fumecheng-5058	9	40	of	of	ADP
fumecheng-5058	9	41	articular	articular	ADJ
fumecheng-5058	9	42	cartilage	cartilage	NOUN
fumecheng-5058	9	43	layers	layer	NOUN
fumecheng-5058	9	44	[	[	X
fumecheng-5058	9	45	5	5	NUM
fumecheng-5058	9	46	]	]	NUM
fumecheng-5058	9	47	)	)	PUNCT
fumecheng-5058	9	48	.	.	PUNCT
fumecheng-5058	10	1	depending	depend	VERB
fumecheng-5058	10	2	on	on	ADP
fumecheng-5058	10	3	the	the	DET
fumecheng-5058	10	4	material	material	NOUN
fumecheng-5058	10	5	’s	’s	PART
fumecheng-5058	10	6	deformation	deformation	NOUN
fumecheng-5058	10	7	response	response	NOUN
fumecheng-5058	10	8	to	to	ADP
fumecheng-5058	10	9	external	external	ADJ
fumecheng-5058	10	10	loading	loading	NOUN
fumecheng-5058	10	11	,	,	PUNCT
fumecheng-5058	10	12	contact	contact	NOUN
fumecheng-5058	10	13	geometry	geometry	NOUN
fumecheng-5058	10	14	configuration	configuration	NOUN
fumecheng-5058	10	15	,	,	PUNCT
fumecheng-5058	10	16	and	and	CCONJ
fumecheng-5058	10	17	accompanying	accompany	VERB
fumecheng-5058	10	18	surface	surface	NOUN
fumecheng-5058	10	19	effects	effect	NOUN
fumecheng-5058	10	20	such	such	ADJ
fumecheng-5058	10	21	as	as	ADP
fumecheng-5058	10	22	friction	friction	NOUN
fumecheng-5058	10	23	or	or	CCONJ
fumecheng-5058	10	24	adhesion	adhesion	NOUN
fumecheng-5058	10	25	,	,	PUNCT
fumecheng-5058	10	26	a	a	DET
fumecheng-5058	10	27	particular	particular	ADJ
fumecheng-5058	10	28	contact	contact	NOUN
fumecheng-5058	10	29	problem	problem	NOUN
fumecheng-5058	10	30	can	can	AUX
fumecheng-5058	10	31	be	be	AUX
fumecheng-5058	10	32	very	very	ADV
fumecheng-5058	10	33	complicated	complicated	ADJ
fumecheng-5058	10	34	for	for	ADP
fumecheng-5058	10	35	analytical	analytical	ADJ
fumecheng-5058	10	36	treatment	treatment	NOUN
fumecheng-5058	10	37	.	.	PUNCT
fumecheng-5058	11	1	while	while	SCONJ
fumecheng-5058	11	2	a	a	DET
fumecheng-5058	11	3	number	number	NOUN
fumecheng-5058	11	4	of	of	ADP
fumecheng-5058	11	5	numerical	numerical	ADJ
fumecheng-5058	11	6	techniques	technique	NOUN
fumecheng-5058	11	7	have	have	AUX
fumecheng-5058	11	8	been	be	AUX
fumecheng-5058	11	9	developed	develop	VERB
fumecheng-5058	11	10	in	in	ADP
fumecheng-5058	11	11	the	the	DET
fumecheng-5058	11	12	last	last	ADJ
fumecheng-5058	11	13	few	few	ADJ
fumecheng-5058	11	14	decades	decade	NOUN
fumecheng-5058	11	15	[	[	X
fumecheng-5058	11	16	6,7	6,7	NUM
fumecheng-5058	11	17	]	]	PUNCT
fumecheng-5058	11	18	,	,	PUNCT
fumecheng-5058	11	19	still	still	ADV
fumecheng-5058	11	20	analytical	analytical	ADJ
fumecheng-5058	11	21	and	and	CCONJ
fumecheng-5058	11	22	semi	semi	ADJ
fumecheng-5058	11	23	-	-	ADJ
fumecheng-5058	11	24	analytical	analytical	ADJ
fumecheng-5058	11	25	models	model	NOUN
fumecheng-5058	11	26	[	[	X
fumecheng-5058	11	27	8,9	8,9	NUM
fumecheng-5058	11	28	]	]	PUNCT
fumecheng-5058	11	29	of	of	ADP
fumecheng-5058	11	30	contact	contact	NOUN
fumecheng-5058	11	31	interactions	interaction	NOUN
fumecheng-5058	11	32	are	be	AUX
fumecheng-5058	11	33	preferred	prefer	VERB
fumecheng-5058	11	34	over	over	ADP
fumecheng-5058	11	35	computer	computer	NOUN
fumecheng-5058	11	36	simulations	simulation	NOUN
fumecheng-5058	11	37	,	,	PUNCT
fumecheng-5058	11	38	especially	especially	ADV
fumecheng-5058	11	39	if	if	SCONJ
fumecheng-5058	11	40	qualitative	qualitative	ADJ
fumecheng-5058	11	41	understanding	understanding	NOUN
fumecheng-5058	11	42	of	of	ADP
fumecheng-5058	11	43	the	the	DET
fumecheng-5058	11	44	contact	contact	NOUN
fumecheng-5058	11	45	problem	problem	NOUN
fumecheng-5058	11	46	is	be	AUX
fumecheng-5058	11	47	required	require	VERB
fumecheng-5058	11	48	.	.	PUNCT
fumecheng-5058	12	1	for	for	ADP
fumecheng-5058	12	2	many	many	ADJ
fumecheng-5058	12	3	years	year	NOUN
fumecheng-5058	12	4	,	,	PUNCT
fumecheng-5058	12	5	the	the	DET
fumecheng-5058	12	6	theory	theory	NOUN
fumecheng-5058	12	7	of	of	ADP
fumecheng-5058	12	8	local	local	ADJ
fumecheng-5058	12	9	contact	contact	NOUN
fumecheng-5058	12	10	of	of	ADP
fumecheng-5058	12	11	elastic	elastic	ADJ
fumecheng-5058	12	12	bodies	body	NOUN
fumecheng-5058	12	13	,	,	PUNCT
fumecheng-5058	12	14	which	which	PRON
fumecheng-5058	12	15	was	be	AUX
fumecheng-5058	12	16	created	create	VERB
fumecheng-5058	12	17	by	by	ADP
fumecheng-5058	12	18	heinrich	heinrich	NOUN
fumecheng-5058	12	19	hertz	hertz	NOUN
fumecheng-5058	13	1	[	[	X
fumecheng-5058	13	2	10	10	NUM
fumecheng-5058	13	3	]	]	PUNCT
fumecheng-5058	13	4	,	,	PUNCT
fumecheng-5058	13	5	was	be	AUX
fumecheng-5058	13	6	one	one	NUM
fumecheng-5058	13	7	of	of	ADP
fumecheng-5058	13	8	the	the	DET
fumecheng-5058	13	9	most	most	ADV
fumecheng-5058	13	10	difficult	difficult	ADJ
fumecheng-5058	13	11	parts	part	NOUN
fumecheng-5058	13	12	of	of	ADP
fumecheng-5058	13	13	the	the	DET
fumecheng-5058	13	14	solid	solid	ADJ
fumecheng-5058	13	15	mechanics	mechanic	NOUN
fumecheng-5058	13	16	courses	course	NOUN
fumecheng-5058	13	17	.	.	PUNCT
fumecheng-5058	14	1	in	in	ADP
fumecheng-5058	14	2	recent	recent	ADJ
fumecheng-5058	14	3	years	year	NOUN
fumecheng-5058	14	4	,	,	PUNCT
fumecheng-5058	14	5	the	the	DET
fumecheng-5058	14	6	method	method	NOUN
fumecheng-5058	14	7	of	of	ADP
fumecheng-5058	14	8	dimensionality	dimensionality	NOUN
fumecheng-5058	14	9	reduction	reduction	NOUN
fumecheng-5058	14	10	(	(	PUNCT
fumecheng-5058	14	11	mdr	mdr	NOUN
fumecheng-5058	14	12	)	)	PUNCT
fumecheng-5058	14	13	has	have	AUX
fumecheng-5058	14	14	been	be	AUX
fumecheng-5058	14	15	developed	develop	VERB
fumecheng-5058	14	16	by	by	ADP
fumecheng-5058	14	17	received	receive	VERB
fumecheng-5058	14	18	march	march	PROPN
fumecheng-5058	14	19	30	30	NUM
fumecheng-5058	14	20	,	,	PUNCT
fumecheng-5058	14	21	2019	2019	NUM
fumecheng-5058	14	22	/	/	SYM
fumecheng-5058	14	23	accepted	accept	VERB
fumecheng-5058	14	24	june	june	PROPN
fumecheng-5058	14	25	10	10	NUM
fumecheng-5058	14	26	,	,	PUNCT
fumecheng-5058	14	27	2019	2019	NUM
fumecheng-5058	14	28	corresponding	correspond	VERB
fumecheng-5058	14	29	author	author	NOUN
fumecheng-5058	14	30	:	:	PUNCT
fumecheng-5058	14	31	ivan	ivan	PROPN
fumecheng-5058	14	32	argatov	argatov	PROPN
fumecheng-5058	14	33	affiliation	affiliation	PROPN
fumecheng-5058	14	34	:	:	PUNCT
fumecheng-5058	14	35	malmö	malmö	PROPN
fumecheng-5058	14	36	university	university	PROPN
fumecheng-5058	14	37	,	,	PUNCT
fumecheng-5058	14	38	21119	21119	NUM
fumecheng-5058	14	39	malmö	malmö	PROPN
fumecheng-5058	14	40	,	,	PUNCT
fumecheng-5058	14	41	sweden	sweden	PROPN
fumecheng-5058	14	42	e	e	NOUN
fumecheng-5058	14	43	-	-	NOUN
fumecheng-5058	14	44	mail	mail	NOUN
fumecheng-5058	14	45	:	:	PUNCT
fumecheng-5058	14	46	ivan.argatov@mau.se	ivan.argatov@mau.se	ADJ
fumecheng-5058	14	47	mailto:ivan.argatov@mau.se	mailto:ivan.argatov@mau.se	X
fumecheng-5058	14	48	182	182	NUM
fumecheng-5058	14	49	i.	i.	PROPN
fumecheng-5058	14	50	argatov	argatov	PROPN
fumecheng-5058	14	51	valentin	valentin	PROPN
fumecheng-5058	14	52	l.	l.	PROPN
fumecheng-5058	14	53	popov	popov	PROPN
fumecheng-5058	14	54	and	and	CCONJ
fumecheng-5058	14	55	his	his	PRON
fumecheng-5058	14	56	collaborators	collaborator	NOUN
fumecheng-5058	14	57	[	[	X
fumecheng-5058	14	58	11	11	NUM
fumecheng-5058	14	59	]	]	PUNCT
fumecheng-5058	14	60	into	into	ADP
fumecheng-5058	14	61	a	a	DET
fumecheng-5058	14	62	mature	mature	ADJ
fumecheng-5058	14	63	and	and	CCONJ
fumecheng-5058	14	64	effective	effective	ADJ
fumecheng-5058	14	65	semi	semi	ADJ
fumecheng-5058	14	66	-	-	ADJ
fumecheng-5058	14	67	analytical	analytical	ADJ
fumecheng-5058	14	68	framework	framework	NOUN
fumecheng-5058	14	69	for	for	ADP
fumecheng-5058	14	70	analysis	analysis	NOUN
fumecheng-5058	14	71	of	of	ADP
fumecheng-5058	14	72	the	the	DET
fumecheng-5058	14	73	hertzian	hertzian	ADJ
fumecheng-5058	14	74	type	type	NOUN
fumecheng-5058	14	75	elastic	elastic	ADJ
fumecheng-5058	14	76	contact	contact	NOUN
fumecheng-5058	14	77	.	.	PUNCT
fumecheng-5058	15	1	a	a	DET
fumecheng-5058	15	2	great	great	ADJ
fumecheng-5058	15	3	advantage	advantage	NOUN
fumecheng-5058	15	4	of	of	ADP
fumecheng-5058	15	5	the	the	DET
fumecheng-5058	15	6	mdr	mdr	PROPN
fumecheng-5058	15	7	is	be	AUX
fumecheng-5058	15	8	that	that	SCONJ
fumecheng-5058	15	9	it	it	PRON
fumecheng-5058	15	10	reduces	reduce	VERB
fumecheng-5058	15	11	the	the	DET
fumecheng-5058	15	12	contact	contact	NOUN
fumecheng-5058	15	13	problem	problem	NOUN
fumecheng-5058	15	14	to	to	ADP
fumecheng-5058	15	15	a	a	DET
fumecheng-5058	15	16	much	much	ADV
fumecheng-5058	15	17	simpler	simple	ADJ
fumecheng-5058	15	18	one	one	NOUN
fumecheng-5058	15	19	for	for	ADP
fumecheng-5058	15	20	a	a	DET
fumecheng-5058	15	21	one	one	NUM
fumecheng-5058	15	22	-	-	PUNCT
fumecheng-5058	15	23	dimensional	dimensional	ADJ
fumecheng-5058	15	24	winkler	winkler	NOUN
fumecheng-5058	15	25	foundation	foundation	NOUN
fumecheng-5058	15	26	.	.	PUNCT
fumecheng-5058	16	1	however	however	ADV
fumecheng-5058	16	2	,	,	PUNCT
fumecheng-5058	16	3	the	the	DET
fumecheng-5058	16	4	matter	matter	NOUN
fumecheng-5058	16	5	is	be	AUX
fumecheng-5058	16	6	not	not	PART
fumecheng-5058	16	7	so	so	ADV
fumecheng-5058	16	8	simple	simple	ADJ
fumecheng-5058	16	9	,	,	PUNCT
fumecheng-5058	16	10	and	and	CCONJ
fumecheng-5058	16	11	a	a	DET
fumecheng-5058	16	12	vulgar	vulgar	ADJ
fumecheng-5058	16	13	interpretation	interpretation	NOUN
fumecheng-5058	16	14	of	of	ADP
fumecheng-5058	16	15	the	the	DET
fumecheng-5058	16	16	mdr	mdr	PROPN
fumecheng-5058	16	17	methodology	methodology	NOUN
fumecheng-5058	16	18	may	may	AUX
fumecheng-5058	16	19	lead	lead	VERB
fumecheng-5058	16	20	to	to	ADP
fumecheng-5058	16	21	erroneous	erroneous	ADJ
fumecheng-5058	16	22	conclusions	conclusion	NOUN
fumecheng-5058	16	23	(	(	PUNCT
fumecheng-5058	16	24	see	see	VERB
fumecheng-5058	16	25	,	,	PUNCT
fumecheng-5058	16	26	e.g.	e.g.	ADV
fumecheng-5058	16	27	,	,	PUNCT
fumecheng-5058	16	28	the	the	DET
fumecheng-5058	16	29	author	author	NOUN
fumecheng-5058	16	30	’s	’s	PART
fumecheng-5058	16	31	discussion	discussion	NOUN
fumecheng-5058	16	32	[	[	X
fumecheng-5058	16	33	12	12	NUM
fumecheng-5058	16	34	]	]	PUNCT
fumecheng-5058	16	35	)	)	PUNCT
fumecheng-5058	16	36	.	.	PUNCT
fumecheng-5058	17	1	in	in	ADP
fumecheng-5058	17	2	the	the	DET
fumecheng-5058	17	3	present	present	ADJ
fumecheng-5058	17	4	paper	paper	NOUN
fumecheng-5058	17	5	,	,	PUNCT
fumecheng-5058	17	6	we	we	PRON
fumecheng-5058	17	7	consider	consider	VERB
fumecheng-5058	17	8	the	the	DET
fumecheng-5058	17	9	adhesion	adhesion	NOUN
fumecheng-5058	17	10	aspect	aspect	NOUN
fumecheng-5058	17	11	of	of	ADP
fumecheng-5058	17	12	elastic	elastic	ADJ
fumecheng-5058	17	13	contact	contact	NOUN
fumecheng-5058	17	14	,	,	PUNCT
fumecheng-5058	17	15	how	how	SCONJ
fumecheng-5058	17	16	it	it	PRON
fumecheng-5058	17	17	is	be	AUX
fumecheng-5058	17	18	introduced	introduce	VERB
fumecheng-5058	17	19	into	into	ADP
fumecheng-5058	17	20	the	the	DET
fumecheng-5058	17	21	core	core	ADJ
fumecheng-5058	17	22	mdr	mdr	PROPN
fumecheng-5058	17	23	for	for	ADP
fumecheng-5058	17	24	axisymmetric	axisymmetric	PROPN
fumecheng-5058	17	25	jkr	jkr	PROPN
fumecheng-5058	17	26	(	(	PUNCT
fumecheng-5058	17	27	johnson	johnson	PROPN
fumecheng-5058	17	28	–	–	PUNCT
fumecheng-5058	17	29	kendall	kendall	PROPN
fumecheng-5058	17	30	–	–	PUNCT
fumecheng-5058	17	31	roberts)-type	roberts)-type	NOUN
fumecheng-5058	17	32	contact	contact	NOUN
fumecheng-5058	17	33	[	[	X
fumecheng-5058	17	34	13	13	NUM
fumecheng-5058	17	35	]	]	PUNCT
fumecheng-5058	17	36	,	,	PUNCT
fumecheng-5058	17	37	and	and	CCONJ
fumecheng-5058	17	38	how	how	SCONJ
fumecheng-5058	17	39	it	it	PRON
fumecheng-5058	17	40	could	could	AUX
fumecheng-5058	17	41	be	be	AUX
fumecheng-5058	17	42	generalized	generalize	VERB
fumecheng-5058	17	43	into	into	ADP
fumecheng-5058	17	44	the	the	DET
fumecheng-5058	17	45	non	non	ADJ
fumecheng-5058	17	46	-	-	ADJ
fumecheng-5058	17	47	axisymmetric	axisymmetric	ADJ
fumecheng-5058	17	48	case	case	NOUN
fumecheng-5058	17	49	.	.	PUNCT
fumecheng-5058	18	1	2	2	X
fumecheng-5058	18	2	.	.	X
fumecheng-5058	18	3	winkler	winkler	NOUN
fumecheng-5058	18	4	’s	’s	PART
fumecheng-5058	18	5	foundation	foundation	NOUN
fumecheng-5058	18	6	in	in	ADP
fumecheng-5058	18	7	this	this	DET
fumecheng-5058	18	8	section	section	NOUN
fumecheng-5058	18	9	,	,	PUNCT
fumecheng-5058	18	10	we	we	PRON
fumecheng-5058	18	11	briefly	briefly	ADV
fumecheng-5058	18	12	outline	outline	VERB
fumecheng-5058	18	13	the	the	DET
fumecheng-5058	18	14	basics	basic	NOUN
fumecheng-5058	18	15	of	of	ADP
fumecheng-5058	18	16	the	the	DET
fumecheng-5058	18	17	winkler	winkler	PROPN
fumecheng-5058	18	18	foundation	foundation	PROPN
fumecheng-5058	18	19	model	model	NOUN
fumecheng-5058	18	20	in	in	ADP
fumecheng-5058	18	21	the	the	DET
fumecheng-5058	18	22	light	light	NOUN
fumecheng-5058	18	23	of	of	ADP
fumecheng-5058	18	24	the	the	DET
fumecheng-5058	18	25	comparison	comparison	NOUN
fumecheng-5058	18	26	with	with	ADP
fumecheng-5058	18	27	an	an	DET
fumecheng-5058	18	28	elastic	elastic	ADJ
fumecheng-5058	18	29	half	half	ADJ
fumecheng-5058	18	30	-	-	PUNCT
fumecheng-5058	18	31	space	space	NOUN
fumecheng-5058	18	32	model	model	NOUN
fumecheng-5058	18	33	.	.	PUNCT
fumecheng-5058	19	1	2.1	2.1	NUM
fumecheng-5058	19	2	.	.	PUNCT
fumecheng-5058	20	1	response	response	NOUN
fumecheng-5058	20	2	equation	equation	NOUN
fumecheng-5058	20	3	of	of	ADP
fumecheng-5058	20	4	the	the	DET
fumecheng-5058	20	5	winkler	winkler	PROPN
fumecheng-5058	20	6	foundation	foundation	PROPN
fumecheng-5058	20	7	consider	consider	VERB
fumecheng-5058	20	8	an	an	DET
fumecheng-5058	20	9	elastic	elastic	ADJ
fumecheng-5058	20	10	foundation	foundation	NOUN
fumecheng-5058	20	11	bounded	bound	VERB
fumecheng-5058	20	12	by	by	ADP
fumecheng-5058	20	13	a	a	DET
fumecheng-5058	20	14	flat	flat	ADJ
fumecheng-5058	20	15	surface	surface	NOUN
fumecheng-5058	20	16	,	,	PUNCT
fumecheng-5058	20	17	which	which	PRON
fumecheng-5058	20	18	is	be	AUX
fumecheng-5058	20	19	assumed	assume	VERB
fumecheng-5058	20	20	to	to	PART
fumecheng-5058	20	21	be	be	AUX
fumecheng-5058	20	22	smooth	smooth	ADJ
fumecheng-5058	20	23	(	(	PUNCT
fumecheng-5058	20	24	that	that	PRON
fumecheng-5058	20	25	is	is	ADV
fumecheng-5058	20	26	,	,	PUNCT
fumecheng-5058	20	27	contact	contact	NOUN
fumecheng-5058	20	28	is	be	AUX
fumecheng-5058	20	29	frictionless	frictionless	NOUN
fumecheng-5058	20	30	)	)	PUNCT
fumecheng-5058	20	31	and	and	CCONJ
fumecheng-5058	20	32	non	non	ADJ
fumecheng-5058	20	33	-	-	ADJ
fumecheng-5058	20	34	sticky	sticky	ADJ
fumecheng-5058	20	35	(	(	PUNCT
fumecheng-5058	20	36	non	non	ADJ
fumecheng-5058	20	37	-	-	ADJ
fumecheng-5058	20	38	adhesive	adhesive	ADJ
fumecheng-5058	20	39	)	)	PUNCT
fumecheng-5058	20	40	.	.	PUNCT
fumecheng-5058	21	1	let	let	VERB
fumecheng-5058	21	2	an	an	DET
fumecheng-5058	21	3	absolutely	absolutely	ADV
fumecheng-5058	21	4	rigid	rigid	ADJ
fumecheng-5058	21	5	body	body	NOUN
fumecheng-5058	21	6	be	be	AUX
fumecheng-5058	21	7	pressed	press	VERB
fumecheng-5058	21	8	against	against	ADP
fumecheng-5058	21	9	the	the	DET
fumecheng-5058	21	10	foundation	foundation	NOUN
fumecheng-5058	21	11	surface	surface	NOUN
fumecheng-5058	21	12	by	by	ADP
fumecheng-5058	21	13	a	a	DET
fumecheng-5058	21	14	normal	normal	ADJ
fumecheng-5058	21	15	force	force	NOUN
fumecheng-5058	21	16	,	,	PUNCT
fumecheng-5058	21	17	.	.	PUNCT
fumecheng-5058	22	1	the	the	DET
fumecheng-5058	22	2	external	external	ADJ
fumecheng-5058	22	3	load	load	NOUN
fumecheng-5058	22	4	is	be	AUX
fumecheng-5058	22	5	equilibrated	equilibrate	VERB
fumecheng-5058	22	6	by	by	ADP
fumecheng-5058	22	7	the	the	DET
fumecheng-5058	22	8	contact	contact	NOUN
fumecheng-5058	22	9	pressures	pressure	NOUN
fumecheng-5058	22	10	,	,	PUNCT
fumecheng-5058	22	11	(	(	PUNCT
fumecheng-5058	22	12	)	)	PUNCT
fumecheng-5058	22	13	,	,	PUNCT
fumecheng-5058	22	14	distributed	distribute	VERB
fumecheng-5058	22	15	over	over	ADP
fumecheng-5058	22	16	a	a	DET
fumecheng-5058	22	17	contact	contact	NOUN
fumecheng-5058	22	18	area	area	NOUN
fumecheng-5058	22	19	.	.	PUNCT
fumecheng-5058	23	1	according	accord	VERB
fumecheng-5058	23	2	to	to	ADP
fumecheng-5058	23	3	the	the	DET
fumecheng-5058	23	4	hypothesis	hypothesis	NOUN
fumecheng-5058	23	5	introduced	introduce	VERB
fumecheng-5058	23	6	by	by	ADP
fumecheng-5058	23	7	emil	emil	PROPN
fumecheng-5058	23	8	winkler	winkler	PROPN
fumecheng-5058	23	9	(	(	PUNCT
fumecheng-5058	23	10	see	see	VERB
fumecheng-5058	23	11	,	,	PUNCT
fumecheng-5058	23	12	in	in	ADP
fumecheng-5058	23	13	particular	particular	ADJ
fumecheng-5058	23	14	,	,	PUNCT
fumecheng-5058	23	15	[	[	X
fumecheng-5058	23	16	14	14	NUM
fumecheng-5058	23	17	]	]	NUM
fumecheng-5058	23	18	)	)	PUNCT
fumecheng-5058	23	19	,	,	PUNCT
fumecheng-5058	23	20	the	the	DET
fumecheng-5058	23	21	contact	contact	NOUN
fumecheng-5058	23	22	pressures	pressure	NOUN
fumecheng-5058	23	23	are	be	AUX
fumecheng-5058	23	24	determined	determine	VERB
fumecheng-5058	23	25	solely	solely	ADV
fumecheng-5058	23	26	by	by	ADP
fumecheng-5058	23	27	the	the	DET
fumecheng-5058	23	28	local	local	ADJ
fumecheng-5058	23	29	normal	normal	ADJ
fumecheng-5058	23	30	displacements	displacement	NOUN
fumecheng-5058	23	31	,	,	PUNCT
fumecheng-5058	23	32	(	(	PUNCT
fumecheng-5058	23	33	)	)	PUNCT
fumecheng-5058	23	34	,	,	PUNCT
fumecheng-5058	23	35	of	of	ADP
fumecheng-5058	23	36	the	the	DET
fumecheng-5058	23	37	surface	surface	NOUN
fumecheng-5058	23	38	points	point	NOUN
fumecheng-5058	23	39	which	which	PRON
fumecheng-5058	23	40	come	come	VERB
fumecheng-5058	23	41	into	into	ADP
fumecheng-5058	23	42	contact	contact	NOUN
fumecheng-5058	23	43	,	,	PUNCT
fumecheng-5058	23	44	i.e.	i.e.	X
fumecheng-5058	23	45	,	,	PUNCT
fumecheng-5058	23	46	1	1	NUM
fumecheng-5058	23	47	2	2	NUM
fumecheng-5058	23	48	3	3	NUM
fumecheng-5058	23	49	1	1	NUM
fumecheng-5058	23	50	2	2	NUM
fumecheng-5058	23	51	(	(	PUNCT
fumecheng-5058	23	52	,	,	PUNCT
fumecheng-5058	23	53	)	)	PUNCT
fumecheng-5058	23	54	(	(	PUNCT
fumecheng-5058	23	55	,	,	PUNCT
fumecheng-5058	23	56	)	)	PUNCT
fumecheng-5058	23	57	p	p	NOUN
fumecheng-5058	24	1	x	x	PUNCT
fumecheng-5058	24	2	x	x	X
fumecheng-5058	24	3	ku	ku	NOUN
fumecheng-5058	24	4	x	x	X
fumecheng-5058	24	5	x	x	PROPN
fumecheng-5058	24	6	,	,	PUNCT
fumecheng-5058	24	7	(	(	PUNCT
fumecheng-5058	24	8	1	1	X
fumecheng-5058	24	9	)	)	PUNCT
fumecheng-5058	24	10	constant	constant	ADJ
fumecheng-5058	24	11	is	be	AUX
fumecheng-5058	24	12	called	call	VERB
fumecheng-5058	24	13	the	the	DET
fumecheng-5058	24	14	coefficient	coefficient	NOUN
fumecheng-5058	24	15	of	of	ADP
fumecheng-5058	24	16	foundation	foundation	NOUN
fumecheng-5058	24	17	.	.	PUNCT
fumecheng-5058	25	1	under	under	ADP
fumecheng-5058	25	2	the	the	DET
fumecheng-5058	25	3	assumption	assumption	NOUN
fumecheng-5058	25	4	that	that	SCONJ
fumecheng-5058	25	5	the	the	DET
fumecheng-5058	25	6	contact	contact	NOUN
fumecheng-5058	25	7	is	be	AUX
fumecheng-5058	25	8	unilateral	unilateral	ADJ
fumecheng-5058	25	9	,	,	PUNCT
fumecheng-5058	25	10	so	so	SCONJ
fumecheng-5058	25	11	that	that	SCONJ
fumecheng-5058	25	12	the	the	DET
fumecheng-5058	25	13	contact	contact	NOUN
fumecheng-5058	25	14	pressure	pressure	NOUN
fumecheng-5058	25	15	density	density	NOUN
fumecheng-5058	25	16	is	be	AUX
fumecheng-5058	25	17	not	not	PART
fumecheng-5058	25	18	allowed	allow	VERB
fumecheng-5058	25	19	to	to	PART
fumecheng-5058	25	20	take	take	VERB
fumecheng-5058	25	21	negative	negative	ADJ
fumecheng-5058	25	22	values	value	NOUN
fumecheng-5058	25	23	,	,	PUNCT
fumecheng-5058	25	24	the	the	DET
fumecheng-5058	25	25	contact	contact	NOUN
fumecheng-5058	25	26	area	area	NOUN
fumecheng-5058	25	27	will	will	AUX
fumecheng-5058	25	28	be	be	AUX
fumecheng-5058	25	29	determined	determine	VERB
fumecheng-5058	25	30	by	by	ADP
fumecheng-5058	25	31	the	the	DET
fumecheng-5058	25	32	displaced	displace	VERB
fumecheng-5058	25	33	surface	surface	NOUN
fumecheng-5058	25	34	points	point	NOUN
fumecheng-5058	25	35	.	.	PUNCT
fumecheng-5058	26	1	2.2	2.2	NUM
fumecheng-5058	26	2	.	.	PUNCT
fumecheng-5058	27	1	contact	contact	NOUN
fumecheng-5058	27	2	stiffness	stiffness	NOUN
fumecheng-5058	27	3	and	and	CCONJ
fumecheng-5058	27	4	incremental	incremental	ADJ
fumecheng-5058	27	5	contact	contact	NOUN
fumecheng-5058	27	6	stiffness	stiffness	NOUN
fumecheng-5058	27	7	in	in	ADP
fumecheng-5058	27	8	the	the	DET
fumecheng-5058	27	9	case	case	NOUN
fumecheng-5058	27	10	of	of	ADP
fumecheng-5058	27	11	a	a	DET
fumecheng-5058	27	12	flat	flat	ADV
fumecheng-5058	27	13	-	-	PUNCT
fumecheng-5058	27	14	ended	end	VERB
fumecheng-5058	27	15	rigid	rigid	ADJ
fumecheng-5058	27	16	body	body	NOUN
fumecheng-5058	27	17	,	,	PUNCT
fumecheng-5058	27	18	which	which	PRON
fumecheng-5058	27	19	touches	touch	VERB
fumecheng-5058	27	20	the	the	DET
fumecheng-5058	27	21	foundation	foundation	NOUN
fumecheng-5058	27	22	surface	surface	NOUN
fumecheng-5058	27	23	over	over	ADP
fumecheng-5058	27	24	a	a	DET
fumecheng-5058	27	25	certain	certain	ADJ
fumecheng-5058	27	26	domain	domain	NOUN
fumecheng-5058	27	27	,	,	PUNCT
fumecheng-5058	27	28	,	,	PUNCT
fumecheng-5058	27	29	generally	generally	ADV
fumecheng-5058	27	30	speaking	speak	VERB
fumecheng-5058	27	31	,	,	PUNCT
fumecheng-5058	27	32	we	we	PRON
fumecheng-5058	27	33	will	will	AUX
fumecheng-5058	27	34	have	have	VERB
fumecheng-5058	27	35	3	3	NUM
fumecheng-5058	27	36	1	1	NUM
fumecheng-5058	27	37	2	2	NUM
fumecheng-5058	27	38	1	1	NUM
fumecheng-5058	27	39	2	2	NUM
fumecheng-5058	27	40	2	2	NUM
fumecheng-5058	27	41	1	1	NUM
fumecheng-5058	27	42	(	(	PUNCT
fumecheng-5058	27	43	,	,	PUNCT
fumecheng-5058	27	44	)	)	PUNCT
fumecheng-5058	27	45	u	u	NOUN
fumecheng-5058	27	46	x	x	NOUN
fumecheng-5058	27	47	x	x	X
fumecheng-5058	27	48	x	x	X
fumecheng-5058	27	49	x	x	PROPN
fumecheng-5058	27	50			PUNCT
fumecheng-5058	27	51			PROPN
fumecheng-5058	27	52			PROPN
fumecheng-5058	27	53			PROPN
fumecheng-5058	27	54	,	,	PUNCT
fumecheng-5058	27	55	(	(	PUNCT
fumecheng-5058	27	56	2	2	X
fumecheng-5058	27	57	)	)	PUNCT
fumecheng-5058	27	58	where	where	SCONJ
fumecheng-5058	27	59	and	and	CCONJ
fumecheng-5058	27	60	are	be	AUX
fumecheng-5058	27	61	small	small	ADJ
fumecheng-5058	27	62	angles	angle	NOUN
fumecheng-5058	27	63	of	of	ADP
fumecheng-5058	27	64	the	the	DET
fumecheng-5058	27	65	rigid	rigid	ADJ
fumecheng-5058	27	66	body	body	NOUN
fumecheng-5058	27	67	’s	’s	PART
fumecheng-5058	27	68	rotation	rotation	NOUN
fumecheng-5058	27	69	.	.	PUNCT
fumecheng-5058	28	1	in	in	ADP
fumecheng-5058	28	2	view	view	NOUN
fumecheng-5058	28	3	of	of	ADP
fumecheng-5058	28	4	(	(	PUNCT
fumecheng-5058	28	5	1	1	NUM
fumecheng-5058	28	6	)	)	PUNCT
fumecheng-5058	28	7	,	,	PUNCT
fumecheng-5058	28	8	the	the	DET
fumecheng-5058	28	9	equilibrium	equilibrium	NOUN
fumecheng-5058	28	10	equation	equation	NOUN
fumecheng-5058	28	11	implies	imply	VERB
fumecheng-5058	28	12	that	that	SCONJ
fumecheng-5058	28	13	1	1	NUM
fumecheng-5058	28	14	1	1	NUM
fumecheng-5058	28	15	2	2	NUM
fumecheng-5058	28	16	2	2	NUM
fumecheng-5058	28	17	(	(	PUNCT
fumecheng-5058	28	18	)	)	PUNCT
fumecheng-5058	28	19	f	f	PROPN
fumecheng-5058	29	1	k	k	PROPN
fumecheng-5058	30	1	a	a	PRON
fumecheng-5058	30	2	s	s	X
fumecheng-5058	30	3	s	s	NOUN
fumecheng-5058	30	4			ADJ
fumecheng-5058	30	5			PROPN
fumecheng-5058	30	6			PROPN
fumecheng-5058	30	7			PROPN
fumecheng-5058	30	8	,	,	PUNCT
fumecheng-5058	30	9	(	(	PUNCT
fumecheng-5058	30	10	3	3	X
fumecheng-5058	30	11	)	)	PUNCT
fumecheng-5058	30	12	where	where	SCONJ
fumecheng-5058	30	13	is	be	AUX
fumecheng-5058	30	14	the	the	DET
fumecheng-5058	30	15	area	area	NOUN
fumecheng-5058	30	16	of	of	ADP
fumecheng-5058	30	17	,	,	PUNCT
fumecheng-5058	30	18	and	and	CCONJ
fumecheng-5058	30	19	are	be	AUX
fumecheng-5058	30	20	the	the	DET
fumecheng-5058	30	21	first	first	ADJ
fumecheng-5058	30	22	moments	moment	NOUN
fumecheng-5058	30	23	of	of	ADP
fumecheng-5058	30	24	area	area	NOUN
fumecheng-5058	30	25	in	in	ADP
fumecheng-5058	30	26	the	the	PRON
fumecheng-5058	30	27	and	and	CCONJ
fumecheng-5058	30	28	directions	direction	NOUN
fumecheng-5058	30	29	,	,	PUNCT
fumecheng-5058	30	30	respectively	respectively	ADV
fumecheng-5058	30	31	,	,	PUNCT
fumecheng-5058	30	32	i.e.	i.e.	X
fumecheng-5058	30	33	,	,	PUNCT
fumecheng-5058	30	34	1	1	NUM
fumecheng-5058	30	35	2	2	NUM
fumecheng-5058	30	36	1	1	NUM
fumecheng-5058	30	37	2	2	NUM
fumecheng-5058	30	38	2	2	NUM
fumecheng-5058	30	39	1	1	NUM
fumecheng-5058	30	40	d	d	NOUN
fumecheng-5058	30	41	d	d	PROPN
fumecheng-5058	30	42	.	.	PUNCT
fumecheng-5058	31	1	s	s	PART
fumecheng-5058	31	2	x	x	PUNCT
fumecheng-5058	31	3	x	x	PUNCT
fumecheng-5058	31	4	x	x	X
fumecheng-5058	31	5	s	s	NOUN
fumecheng-5058	31	6	x	x	X
fumecheng-5058	31	7			NOUN
fumecheng-5058	31	8			NOUN
fumecheng-5058	31	9			ADP
fumecheng-5058	32	1			X
fumecheng-5058	32	2			PROPN
fumecheng-5058	32	3			INTJ
fumecheng-5058	33	1			NUM
fumecheng-5058	33	2			INTJ
fumecheng-5058	34	1			PROPN
fumecheng-5058	34	2			PROPN
fumecheng-5058	35	1			PROPN
fumecheng-5058	35	2			PROPN
fumecheng-5058	35	3			ADV
fumecheng-5058	35	4	from	from	ADP
fumecheng-5058	35	5	winkler	winkler	NOUN
fumecheng-5058	35	6	's	's	PART
fumecheng-5058	35	7	foundation	foundation	NOUN
fumecheng-5058	35	8	to	to	ADP
fumecheng-5058	35	9	popov	popov	PROPN
fumecheng-5058	35	10	's	's	PART
fumecheng-5058	35	11	foundation	foundation	NOUN
fumecheng-5058	35	12	183	183	NUM
fumecheng-5058	35	13	let	let	VERB
fumecheng-5058	35	14	(	(	PUNCT
fumecheng-5058	35	15	)	)	PUNCT
fumecheng-5058	35	16	denote	denote	VERB
fumecheng-5058	35	17	the	the	DET
fumecheng-5058	35	18	center	center	NOUN
fumecheng-5058	35	19	of	of	ADP
fumecheng-5058	35	20	mass	mass	NOUN
fumecheng-5058	35	21	of	of	ADP
fumecheng-5058	35	22	,	,	PUNCT
fumecheng-5058	35	23	that	that	PRON
fumecheng-5058	35	24	is	be	AUX
fumecheng-5058	35	25	1	1	NUM
fumecheng-5058	35	26	1	1	NUM
fumecheng-5058	35	27	1	1	NUM
fumecheng-5058	35	28	2	2	NUM
fumecheng-5058	35	29	22	22	NUM
fumecheng-5058	35	30	1	1	NUM
fumecheng-5058	35	31	d	d	PROPN
fumecheng-5058	35	32	d	d	NOUN
fumecheng-5058	35	33	,	,	PUNCT
fumecheng-5058	35	34	c	c	NOUN
fumecheng-5058	35	35	c	c	NOUN
fumecheng-5058	35	36	x	x	PUNCT
fumecheng-5058	35	37	x	x	PUNCT
fumecheng-5058	35	38	x	x	PUNCT
fumecheng-5058	35	39	x	x	X
fumecheng-5058	35	40	xax	xax	PROPN
fumecheng-5058	35	41			NOUN
fumecheng-5058	36	1			NOUN
fumecheng-5058	36	2			NOUN
fumecheng-5058	37	1			ADJ
fumecheng-5058	37	2			NUM
fumecheng-5058	38	1			PROPN
fumecheng-5058	38	2			INTJ
fumecheng-5058	38	3			NUM
fumecheng-5058	38	4			NOUN
fumecheng-5058	38	5			NUM
fumecheng-5058	38	6			NUM
fumecheng-5058	38	7			PROPN
fumecheng-5058	38	8			NOUN
fumecheng-5058	38	9			X
fumecheng-5058	38	10			ADV
fumecheng-5058	38	11	where	where	SCONJ
fumecheng-5058	38	12	the	the	DET
fumecheng-5058	38	13	integration	integration	NOUN
fumecheng-5058	38	14	is	be	AUX
fumecheng-5058	38	15	carried	carry	VERB
fumecheng-5058	38	16	out	out	ADP
fumecheng-5058	38	17	over	over	ADP
fumecheng-5058	38	18	the	the	DET
fumecheng-5058	38	19	domain	domain	NOUN
fumecheng-5058	38	20	.	.	PUNCT
fumecheng-5058	39	1	then	then	ADV
fumecheng-5058	39	2	,	,	PUNCT
fumecheng-5058	39	3	in	in	ADP
fumecheng-5058	39	4	view	view	NOUN
fumecheng-5058	39	5	of	of	ADP
fumecheng-5058	39	6	eqs	eqs	PROPN
fumecheng-5058	39	7	.	.	PUNCT
fumecheng-5058	40	1	(	(	PUNCT
fumecheng-5058	40	2	1	1	X
fumecheng-5058	40	3	)	)	PUNCT
fumecheng-5058	40	4	and	and	CCONJ
fumecheng-5058	40	5	(	(	PUNCT
fumecheng-5058	40	6	2	2	NUM
fumecheng-5058	40	7	)	)	PUNCT
fumecheng-5058	40	8	,	,	PUNCT
fumecheng-5058	40	9	eq	eq	NOUN
fumecheng-5058	40	10	.	.	PUNCT
fumecheng-5058	41	1	(	(	PUNCT
fumecheng-5058	41	2	3	3	X
fumecheng-5058	41	3	)	)	PUNCT
fumecheng-5058	41	4	can	can	AUX
fumecheng-5058	41	5	be	be	AUX
fumecheng-5058	41	6	rewritten	rewrite	VERB
fumecheng-5058	41	7	as	as	ADP
fumecheng-5058	41	8	cf	cf	NOUN
fumecheng-5058	41	9	ka	ka	PROPN
fumecheng-5058	41	10			NUM
fumecheng-5058	41	11	,	,	PUNCT
fumecheng-5058	41	12	(	(	PUNCT
fumecheng-5058	41	13	4	4	NUM
fumecheng-5058	41	14	)	)	PUNCT
fumecheng-5058	41	15	where	where	SCONJ
fumecheng-5058	41	16	(	(	PUNCT
fumecheng-5058	41	17	)	)	PUNCT
fumecheng-5058	41	18	is	be	AUX
fumecheng-5058	41	19	the	the	DET
fumecheng-5058	41	20	vertical	vertical	ADJ
fumecheng-5058	41	21	displacement	displacement	NOUN
fumecheng-5058	41	22	of	of	ADP
fumecheng-5058	41	23	the	the	DET
fumecheng-5058	41	24	rigid	rigid	ADJ
fumecheng-5058	41	25	body	body	NOUN
fumecheng-5058	41	26	’s	’s	PART
fumecheng-5058	41	27	flat	flat	ADJ
fumecheng-5058	41	28	base	base	NOUN
fumecheng-5058	41	29	at	at	ADP
fumecheng-5058	41	30	the	the	DET
fumecheng-5058	41	31	mass	mass	ADJ
fumecheng-5058	41	32	center	center	NOUN
fumecheng-5058	41	33	of	of	ADP
fumecheng-5058	41	34	.	.	PUNCT
fumecheng-5058	42	1	the	the	DET
fumecheng-5058	42	2	quantity	quantity	NOUN
fumecheng-5058	42	3	k	k	PROPN
fumecheng-5058	42	4	ka	ka	PROPN
fumecheng-5058	42	5	(	(	PUNCT
fumecheng-5058	42	6	5	5	NUM
fumecheng-5058	42	7	)	)	PUNCT
fumecheng-5058	42	8	is	be	AUX
fumecheng-5058	42	9	called	call	VERB
fumecheng-5058	42	10	the	the	DET
fumecheng-5058	42	11	contact	contact	NOUN
fumecheng-5058	42	12	stiffness	stiffness	NOUN
fumecheng-5058	42	13	.	.	PUNCT
fumecheng-5058	43	1	now	now	ADV
fumecheng-5058	43	2	,	,	PUNCT
fumecheng-5058	43	3	let	let	VERB
fumecheng-5058	43	4	a	a	DET
fumecheng-5058	43	5	rigid	rigid	ADJ
fumecheng-5058	43	6	body	body	NOUN
fumecheng-5058	43	7	be	be	AUX
fumecheng-5058	43	8	bounded	bound	VERB
fumecheng-5058	43	9	by	by	ADP
fumecheng-5058	43	10	a	a	DET
fumecheng-5058	43	11	surface	surface	NOUN
fumecheng-5058	43	12	3	3	NUM
fumecheng-5058	43	13	1	1	NUM
fumecheng-5058	43	14	2	2	NUM
fumecheng-5058	43	15	(	(	PUNCT
fumecheng-5058	43	16	,	,	PUNCT
fumecheng-5058	43	17	)	)	PUNCT
fumecheng-5058	43	18	x	x	PUNCT
fumecheng-5058	43	19	x	x	X
fumecheng-5058	43	20	x	x	PROPN
fumecheng-5058	43	21			NOUN
fumecheng-5058	43	22	,	,	PUNCT
fumecheng-5058	43	23	(	(	PUNCT
fumecheng-5058	43	24	6	6	NUM
fumecheng-5058	43	25	)	)	PUNCT
fumecheng-5058	43	26	such	such	ADJ
fumecheng-5058	43	27	that	that	PRON
fumecheng-5058	43	28	(	(	PUNCT
fumecheng-5058	43	29	)	)	PUNCT
fumecheng-5058	43	30	and	and	CCONJ
fumecheng-5058	43	31	(	(	PUNCT
fumecheng-5058	43	32	)	)	PUNCT
fumecheng-5058	43	33	.	.	PUNCT
fumecheng-5058	44	1	(	(	PUNCT
fumecheng-5058	44	2	this	this	PRON
fumecheng-5058	44	3	is	be	AUX
fumecheng-5058	44	4	not	not	PART
fumecheng-5058	44	5	a	a	DET
fumecheng-5058	44	6	restrictive	restrictive	ADJ
fumecheng-5058	44	7	assumption	assumption	NOUN
fumecheng-5058	44	8	.	.	PUNCT
fumecheng-5058	44	9	)	)	PUNCT
fumecheng-5058	45	1	if	if	SCONJ
fumecheng-5058	45	2	the	the	DET
fumecheng-5058	45	3	rigid	rigid	ADJ
fumecheng-5058	45	4	body	body	NOUN
fumecheng-5058	45	5	is	be	AUX
fumecheng-5058	45	6	translationally	translationally	ADV
fumecheng-5058	45	7	displaced	displace	VERB
fumecheng-5058	45	8	into	into	ADP
fumecheng-5058	45	9	the	the	DET
fumecheng-5058	45	10	winkler	winkler	NOUN
fumecheng-5058	45	11	foundation	foundation	NOUN
fumecheng-5058	45	12	to	to	ADP
fumecheng-5058	45	13	some	some	DET
fumecheng-5058	45	14	depth	depth	NOUN
fumecheng-5058	45	15	,	,	PUNCT
fumecheng-5058	45	16	,	,	PUNCT
fumecheng-5058	45	17	then	then	ADV
fumecheng-5058	45	18	the	the	DET
fumecheng-5058	45	19	surface	surface	NOUN
fumecheng-5058	45	20	displacements	displacement	NOUN
fumecheng-5058	45	21	are	be	AUX
fumecheng-5058	45	22	3	3	NUM
fumecheng-5058	45	23	1	1	NUM
fumecheng-5058	45	24	2	2	NUM
fumecheng-5058	45	25	1	1	NUM
fumecheng-5058	45	26	2	2	NUM
fumecheng-5058	45	27	(	(	PUNCT
fumecheng-5058	45	28	,	,	PUNCT
fumecheng-5058	45	29	)	)	PUNCT
fumecheng-5058	45	30	(	(	PUNCT
fumecheng-5058	45	31	,	,	PUNCT
fumecheng-5058	45	32	)	)	PUNCT
fumecheng-5058	45	33	u	u	NOUN
fumecheng-5058	45	34	x	x	NOUN
fumecheng-5058	45	35	x	x	PUNCT
fumecheng-5058	45	36	x	x	SYM
fumecheng-5058	45	37	x	x	ADJ
fumecheng-5058	45	38			NOUN
fumecheng-5058	45	39	,	,	PUNCT
fumecheng-5058	45	40	(	(	PUNCT
fumecheng-5058	45	41	7	7	NUM
fumecheng-5058	45	42	)	)	PUNCT
fumecheng-5058	45	43	and	and	CCONJ
fumecheng-5058	45	44	contact	contact	NOUN
fumecheng-5058	45	45	domain	domain	NOUN
fumecheng-5058	45	46	will	will	AUX
fumecheng-5058	45	47	be	be	AUX
fumecheng-5058	45	48	determined	determine	VERB
fumecheng-5058	45	49	by	by	ADP
fumecheng-5058	45	50	inequality	inequality	NOUN
fumecheng-5058	45	51	(	(	PUNCT
fumecheng-5058	45	52	)	)	PUNCT
fumecheng-5058	45	53	.	.	PUNCT
fumecheng-5058	46	1	in	in	ADP
fumecheng-5058	46	2	this	this	DET
fumecheng-5058	46	3	case	case	NOUN
fumecheng-5058	46	4	,	,	PUNCT
fumecheng-5058	46	5	the	the	DET
fumecheng-5058	46	6	contact	contact	NOUN
fumecheng-5058	46	7	force	force	NOUN
fumecheng-5058	46	8	is	be	AUX
fumecheng-5058	46	9	given	give	VERB
fumecheng-5058	46	10	by	by	ADP
fumecheng-5058	46	11	1	1	NUM
fumecheng-5058	46	12	2	2	NUM
fumecheng-5058	46	13	1	1	NUM
fumecheng-5058	46	14	2	2	NUM
fumecheng-5058	46	15	(	(	PUNCT
fumecheng-5058	46	16	(	(	PUNCT
fumecheng-5058	46	17	,	,	PUNCT
fumecheng-5058	46	18	)	)	PUNCT
fumecheng-5058	46	19	)	)	PUNCT
fumecheng-5058	47	1	d	d	X
fumecheng-5058	47	2	df	df	PROPN
fumecheng-5058	48	1	k	k	NOUN
fumecheng-5058	48	2	x	x	PUNCT
fumecheng-5058	49	1	x	x	PUNCT
fumecheng-5058	49	2	x	x	PUNCT
fumecheng-5058	49	3	x	x	SYM
fumecheng-5058	49	4			NUM
fumecheng-5058	49	5			NUM
fumecheng-5058	49	6			PROPN
fumecheng-5058	49	7			PUNCT
fumecheng-5058	49	8			PROPN
fumecheng-5058	49	9			NOUN
fumecheng-5058	49	10	,	,	PUNCT
fumecheng-5058	49	11	(	(	PUNCT
fumecheng-5058	49	12	8)	8)	NUM
fumecheng-5058	49	13	where	where	SCONJ
fumecheng-5058	49	14	(	(	PUNCT
fumecheng-5058	49	15	)	)	PUNCT
fumecheng-5058	49	16	|	|	ADV
fumecheng-5058	49	17	|	|	ADV
fumecheng-5058	49	18	is	be	AUX
fumecheng-5058	49	19	the	the	DET
fumecheng-5058	49	20	positive	positive	ADJ
fumecheng-5058	49	21	part	part	NOUN
fumecheng-5058	49	22	function	function	NOUN
fumecheng-5058	49	23	.	.	PUNCT
fumecheng-5058	50	1	the	the	DET
fumecheng-5058	50	2	force	force	NOUN
fumecheng-5058	50	3	-	-	PUNCT
fumecheng-5058	50	4	displacement	displacement	ADJ
fumecheng-5058	50	5	relation	relation	NOUN
fumecheng-5058	50	6	(	(	PUNCT
fumecheng-5058	50	7	8)	8)	NOUN
fumecheng-5058	50	8	is	be	AUX
fumecheng-5058	50	9	nonlinear	nonlinear	ADJ
fumecheng-5058	50	10	,	,	PUNCT
fumecheng-5058	50	11	but	but	CCONJ
fumecheng-5058	50	12	the	the	DET
fumecheng-5058	50	13	incremental	incremental	ADJ
fumecheng-5058	50	14	contact	contact	NOUN
fumecheng-5058	50	15	stiffness	stiffness	NOUN
fumecheng-5058	50	16	can	can	AUX
fumecheng-5058	50	17	be	be	AUX
fumecheng-5058	50	18	simply	simply	ADV
fumecheng-5058	50	19	evaluated	evaluate	VERB
fumecheng-5058	50	20	as	as	SCONJ
fumecheng-5058	50	21	follows	follow	VERB
fumecheng-5058	50	22	(	(	PUNCT
fumecheng-5058	50	23	cf	cf	NOUN
fumecheng-5058	50	24	.	.	PUNCT
fumecheng-5058	51	1	eq	eq	ADJ
fumecheng-5058	51	2	.	.	PUNCT
fumecheng-5058	52	1	(	(	PUNCT
fumecheng-5058	52	2	5	5	NUM
fumecheng-5058	52	3	)	)	PUNCT
fumecheng-5058	52	4	):	):	PUNCT
fumecheng-5058	53	1	d	d	X
fumecheng-5058	53	2	d	d	X
fumecheng-5058	53	3	f	f	PROPN
fumecheng-5058	53	4	ka	ka	PROPN
fumecheng-5058	53	5			PROPN
fumecheng-5058	53	6			NUM
fumecheng-5058	53	7	.	.	PUNCT
fumecheng-5058	54	1	(	(	PUNCT
fumecheng-5058	54	2	9	9	NUM
fumecheng-5058	54	3	)	)	PUNCT
fumecheng-5058	54	4	here	here	ADV
fumecheng-5058	54	5	,	,	PUNCT
fumecheng-5058	54	6	is	be	AUX
fumecheng-5058	54	7	the	the	DET
fumecheng-5058	54	8	area	area	NOUN
fumecheng-5058	54	9	of	of	ADP
fumecheng-5058	54	10	the	the	DET
fumecheng-5058	54	11	domain	domain	NOUN
fumecheng-5058	54	12	.	.	PUNCT
fumecheng-5058	55	1	2.3	2.3	NUM
fumecheng-5058	55	2	.	.	PUNCT
fumecheng-5058	55	3	comparison	comparison	NOUN
fumecheng-5058	55	4	with	with	ADP
fumecheng-5058	55	5	the	the	DET
fumecheng-5058	55	6	elasticity	elasticity	NOUN
fumecheng-5058	55	7	theory	theory	NOUN
fumecheng-5058	55	8	model	model	NOUN
fumecheng-5058	55	9	let	let	VERB
fumecheng-5058	55	10	us	we	PRON
fumecheng-5058	55	11	compare	compare	VERB
fumecheng-5058	55	12	the	the	DET
fumecheng-5058	55	13	simple	simple	ADJ
fumecheng-5058	55	14	solution	solution	NOUN
fumecheng-5058	55	15	of	of	ADP
fumecheng-5058	55	16	the	the	DET
fumecheng-5058	55	17	contact	contact	NOUN
fumecheng-5058	55	18	problem	problem	NOUN
fumecheng-5058	55	19	obtained	obtain	VERB
fumecheng-5058	55	20	in	in	ADP
fumecheng-5058	55	21	the	the	DET
fumecheng-5058	55	22	framework	framework	NOUN
fumecheng-5058	55	23	of	of	ADP
fumecheng-5058	55	24	the	the	DET
fumecheng-5058	55	25	winkler	winkler	PROPN
fumecheng-5058	55	26	foundation	foundation	PROPN
fumecheng-5058	55	27	model	model	NOUN
fumecheng-5058	55	28	with	with	ADP
fumecheng-5058	55	29	the	the	DET
fumecheng-5058	55	30	corresponding	corresponding	ADJ
fumecheng-5058	55	31	results	result	NOUN
fumecheng-5058	55	32	for	for	ADP
fumecheng-5058	55	33	an	an	DET
fumecheng-5058	55	34	isotropic	isotropic	ADJ
fumecheng-5058	55	35	elastic	elastic	ADJ
fumecheng-5058	55	36	half	half	ADJ
fumecheng-5058	55	37	-	-	PUNCT
fumecheng-5058	55	38	space	space	NOUN
fumecheng-5058	55	39	(	(	PUNCT
fumecheng-5058	55	40	with	with	ADP
fumecheng-5058	55	41	young	young	PROPN
fumecheng-5058	55	42	’s	’s	PART
fumecheng-5058	55	43	modulus	modulus	NOUN
fumecheng-5058	55	44	and	and	CCONJ
fumecheng-5058	55	45	poisson	poisson	NOUN
fumecheng-5058	55	46	’s	’s	PART
fumecheng-5058	55	47	ratio	ratio	NOUN
fumecheng-5058	55	48	)	)	PUNCT
fumecheng-5058	55	49	.	.	PUNCT
fumecheng-5058	56	1	in	in	ADP
fumecheng-5058	56	2	particular	particular	ADJ
fumecheng-5058	56	3	,	,	PUNCT
fumecheng-5058	56	4	what	what	PRON
fumecheng-5058	56	5	we	we	PRON
fumecheng-5058	56	6	are	be	AUX
fumecheng-5058	56	7	interested	interested	ADJ
fumecheng-5058	56	8	in	in	ADP
fumecheng-5058	56	9	is	be	AUX
fumecheng-5058	56	10	the	the	DET
fumecheng-5058	56	11	contact	contact	NOUN
fumecheng-5058	56	12	stiffness	stiffness	NOUN
fumecheng-5058	56	13	for	for	ADP
fumecheng-5058	56	14	a	a	DET
fumecheng-5058	56	15	flat	flat	ADV
fumecheng-5058	56	16	-	-	PUNCT
fumecheng-5058	56	17	ended	end	VERB
fumecheng-5058	56	18	indenter	indenter	NOUN
fumecheng-5058	56	19	,	,	PUNCT
fumecheng-5058	56	20	which	which	PRON
fumecheng-5058	56	21	can	can	AUX
fumecheng-5058	56	22	be	be	AUX
fumecheng-5058	56	23	represented	represent	VERB
fumecheng-5058	56	24	as	as	ADP
fumecheng-5058	56	25	*	*	X
fumecheng-5058	56	26	2k	2k	NUM
fumecheng-5058	56	27	e	e	ADJ
fumecheng-5058	56	28			NOUN
fumecheng-5058	56	29	,	,	PUNCT
fumecheng-5058	56	30	(	(	PUNCT
fumecheng-5058	56	31	10	10	NUM
fumecheng-5058	56	32	)	)	PUNCT
fumecheng-5058	56	33	where	where	SCONJ
fumecheng-5058	56	34	(	(	PUNCT
fumecheng-5058	56	35	)	)	PUNCT
fumecheng-5058	56	36	is	be	AUX
fumecheng-5058	56	37	the	the	DET
fumecheng-5058	56	38	reduced	reduce	VERB
fumecheng-5058	56	39	elastic	elastic	ADJ
fumecheng-5058	56	40	modulus	modulus	NOUN
fumecheng-5058	56	41	,	,	PUNCT
fumecheng-5058	56	42	and	and	CCONJ
fumecheng-5058	56	43	is	be	AUX
fumecheng-5058	56	44	the	the	DET
fumecheng-5058	56	45	so	so	ADV
fumecheng-5058	56	46	-	-	PUNCT
fumecheng-5058	56	47	called	call	VERB
fumecheng-5058	56	48	harmonic	harmonic	ADJ
fumecheng-5058	56	49	capacity	capacity	NOUN
fumecheng-5058	56	50	radius	radius	NOUN
fumecheng-5058	56	51	of	of	ADP
fumecheng-5058	56	52	the	the	DET
fumecheng-5058	56	53	current	current	ADJ
fumecheng-5058	56	54	contact	contact	NOUN
fumecheng-5058	56	55	area	area	NOUN
fumecheng-5058	56	56	(	(	PUNCT
fumecheng-5058	56	57	see	see	VERB
fumecheng-5058	56	58	,	,	PUNCT
fumecheng-5058	56	59	e.g.	e.g.	ADV
fumecheng-5058	56	60	[	[	X
fumecheng-5058	56	61	15	15	NUM
fumecheng-5058	56	62	]	]	NUM
fumecheng-5058	56	63	)	)	PUNCT
fumecheng-5058	56	64	.	.	PUNCT
fumecheng-5058	57	1	184	184	NUM
fumecheng-5058	57	2	i.	i.	PROPN
fumecheng-5058	57	3	argatov	argatov	NOUN
fumecheng-5058	57	4	the	the	DET
fumecheng-5058	57	5	main	main	ADJ
fumecheng-5058	57	6	difference	difference	NOUN
fumecheng-5058	57	7	between	between	ADP
fumecheng-5058	57	8	formulas	formula	NOUN
fumecheng-5058	57	9	(	(	PUNCT
fumecheng-5058	57	10	5	5	NUM
fumecheng-5058	57	11	)	)	PUNCT
fumecheng-5058	57	12	and	and	CCONJ
fumecheng-5058	57	13	(	(	PUNCT
fumecheng-5058	57	14	10	10	NUM
fumecheng-5058	57	15	)	)	PUNCT
fumecheng-5058	57	16	is	be	AUX
fumecheng-5058	57	17	that	that	SCONJ
fumecheng-5058	57	18	they	they	PRON
fumecheng-5058	57	19	predict	predict	VERB
fumecheng-5058	57	20	different	different	ADJ
fumecheng-5058	57	21	variations	variation	NOUN
fumecheng-5058	57	22	of	of	ADP
fumecheng-5058	57	23	the	the	DET
fumecheng-5058	57	24	contact	contact	NOUN
fumecheng-5058	57	25	stiffness	stiffness	NOUN
fumecheng-5058	57	26	under	under	ADP
fumecheng-5058	57	27	a	a	DET
fumecheng-5058	57	28	similarity	similarity	NOUN
fumecheng-5058	57	29	scaling	scaling	NOUN
fumecheng-5058	57	30	of	of	ADP
fumecheng-5058	57	31	the	the	DET
fumecheng-5058	57	32	contact	contact	NOUN
fumecheng-5058	57	33	area	area	NOUN
fumecheng-5058	57	34	,	,	PUNCT
fumecheng-5058	57	35	since	since	ADV
fumecheng-5058	57	36	and	and	CCONJ
fumecheng-5058	57	37	have	have	VERB
fumecheng-5058	57	38	dimensions	dimension	NOUN
fumecheng-5058	57	39	of	of	ADP
fumecheng-5058	57	40	and	and	CCONJ
fumecheng-5058	57	41	,	,	PUNCT
fumecheng-5058	57	42	respectively	respectively	ADV
fumecheng-5058	57	43	,	,	PUNCT
fumecheng-5058	57	44	where	where	SCONJ
fumecheng-5058	57	45	is	be	AUX
fumecheng-5058	57	46	the	the	DET
fumecheng-5058	57	47	dimension	dimension	NOUN
fumecheng-5058	57	48	of	of	ADP
fumecheng-5058	57	49	length	length	NOUN
fumecheng-5058	57	50	.	.	PUNCT
fumecheng-5058	58	1	explicit	explicit	ADJ
fumecheng-5058	58	2	formulas	formula	NOUN
fumecheng-5058	58	3	for	for	ADP
fumecheng-5058	58	4	(	(	PUNCT
fumecheng-5058	58	5	or	or	CCONJ
fumecheng-5058	58	6	for	for	ADP
fumecheng-5058	58	7	the	the	DET
fumecheng-5058	58	8	harmonic	harmonic	ADJ
fumecheng-5058	58	9	capacity	capacity	NOUN
fumecheng-5058	58	10	)	)	PUNCT
fumecheng-5058	58	11	are	be	AUX
fumecheng-5058	58	12	known	know	VERB
fumecheng-5058	58	13	only	only	ADV
fumecheng-5058	58	14	in	in	ADP
fumecheng-5058	58	15	a	a	DET
fumecheng-5058	58	16	limited	limited	ADJ
fumecheng-5058	58	17	number	number	NOUN
fumecheng-5058	58	18	of	of	ADP
fumecheng-5058	58	19	cases	case	NOUN
fumecheng-5058	58	20	(	(	PUNCT
fumecheng-5058	58	21	for	for	ADP
fumecheng-5058	58	22	instance	instance	NOUN
fumecheng-5058	58	23	,	,	PUNCT
fumecheng-5058	58	24	for	for	ADP
fumecheng-5058	58	25	an	an	DET
fumecheng-5058	58	26	annular	annular	ADJ
fumecheng-5058	58	27	contact	contact	NOUN
fumecheng-5058	58	28	area	area	NOUN
fumecheng-5058	59	1	[	[	X
fumecheng-5058	59	2	9	9	NUM
fumecheng-5058	59	3	]	]	SYM
fumecheng-5058	59	4	)	)	PUNCT
fumecheng-5058	59	5	.	.	PUNCT
fumecheng-5058	60	1	also	also	ADV
fumecheng-5058	60	2	,	,	PUNCT
fumecheng-5058	60	3	some	some	DET
fumecheng-5058	60	4	approximations	approximation	NOUN
fumecheng-5058	60	5	for	for	ADP
fumecheng-5058	60	6	the	the	DET
fumecheng-5058	60	7	-related	-related	ADJ
fumecheng-5058	60	8	characteristic	characteristic	NOUN
fumecheng-5058	60	9	(	(	PUNCT
fumecheng-5058	60	10	such	such	ADJ
fumecheng-5058	60	11	as	as	ADP
fumecheng-5058	60	12	contact	contact	NOUN
fumecheng-5058	60	13	compliance	compliance	NOUN
fumecheng-5058	60	14	or	or	CCONJ
fumecheng-5058	60	15	constriction	constriction	NOUN
fumecheng-5058	60	16	resistance	resistance	NOUN
fumecheng-5058	60	17	)	)	PUNCT
fumecheng-5058	60	18	can	can	AUX
fumecheng-5058	60	19	be	be	AUX
fumecheng-5058	60	20	found	find	VERB
fumecheng-5058	60	21	in	in	ADP
fumecheng-5058	60	22	the	the	DET
fumecheng-5058	60	23	literature	literature	NOUN
fumecheng-5058	60	24	(	(	PUNCT
fumecheng-5058	60	25	see	see	VERB
fumecheng-5058	60	26	,	,	PUNCT
fumecheng-5058	60	27	e.g.	e.g.	ADV
fumecheng-5058	60	28	,	,	PUNCT
fumecheng-5058	60	29	[	[	X
fumecheng-5058	60	30	16,17	16,17	NUM
fumecheng-5058	60	31	]	]	PUNCT
fumecheng-5058	60	32	)	)	PUNCT
fumecheng-5058	60	33	.	.	PUNCT
fumecheng-5058	61	1	in	in	ADP
fumecheng-5058	61	2	particular	particular	ADJ
fumecheng-5058	61	3	,	,	PUNCT
fumecheng-5058	61	4	using	use	VERB
fumecheng-5058	61	5	the	the	DET
fumecheng-5058	61	6	cross	cross	ADJ
fumecheng-5058	61	7	-	-	ADJ
fumecheng-5058	61	8	property	property	ADJ
fumecheng-5058	61	9	connection	connection	NOUN
fumecheng-5058	61	10	established	establish	VERB
fumecheng-5058	61	11	by	by	ADP
fumecheng-5058	61	12	sevostianov	sevostianov	NOUN
fumecheng-5058	61	13	and	and	CCONJ
fumecheng-5058	61	14	kachanov	kachanov	VERB
fumecheng-5058	61	15	[	[	X
fumecheng-5058	61	16	18	18	NUM
fumecheng-5058	61	17	]	]	PUNCT
fumecheng-5058	61	18	,	,	PUNCT
fumecheng-5058	61	19	the	the	DET
fumecheng-5058	61	20	following	follow	VERB
fumecheng-5058	61	21	approximation	approximation	NOUN
fumecheng-5058	61	22	can	can	AUX
fumecheng-5058	61	23	be	be	AUX
fumecheng-5058	61	24	written	write	VERB
fumecheng-5058	61	25	out	out	ADP
fumecheng-5058	61	26	for	for	ADP
fumecheng-5058	61	27	the	the	DET
fumecheng-5058	61	28	harmonic	harmonic	ADJ
fumecheng-5058	61	29	capacity	capacity	NOUN
fumecheng-5058	61	30	radius	radius	NOUN
fumecheng-5058	61	31	of	of	ADP
fumecheng-5058	61	32	a	a	DET
fumecheng-5058	61	33	circular	circular	ADJ
fumecheng-5058	61	34	cluster	cluster	NOUN
fumecheng-5058	61	35	of	of	ADP
fumecheng-5058	61	36	identical	identical	ADJ
fumecheng-5058	61	37	circular	circular	ADJ
fumecheng-5058	61	38	microcontacts	microcontact	NOUN
fumecheng-5058	61	39	:	:	PUNCT
fumecheng-5058	61	40	1	1	NUM
fumecheng-5058	61	41	h	h	NOUN
fumecheng-5058	61	42	1	1	NUM
fumecheng-5058	61	43	1	1	NUM
fumecheng-5058	61	44	ina	ina	NOUN
fumecheng-5058	61	45	r	r	NOUN
fumecheng-5058	61	46			PUNCT
fumecheng-5058	61	47			VERB
fumecheng-5058	61	48			NOUN
fumecheng-5058	61	49			NOUN
fumecheng-5058	61	50			PROPN
fumecheng-5058	61	51			PROPN
fumecheng-5058	61	52			CCONJ
fumecheng-5058	61	53			PROPN
fumecheng-5058	61	54			NOUN
fumecheng-5058	61	55	.	.	PUNCT
fumecheng-5058	62	1	here	here	ADV
fumecheng-5058	62	2	,	,	PUNCT
fumecheng-5058	62	3	is	be	AUX
fumecheng-5058	62	4	the	the	DET
fumecheng-5058	62	5	radius	radius	NOUN
fumecheng-5058	62	6	of	of	ADP
fumecheng-5058	62	7	identical	identical	ADJ
fumecheng-5058	62	8	microcontacts	microcontact	NOUN
fumecheng-5058	62	9	,	,	PUNCT
fumecheng-5058	62	10	is	be	AUX
fumecheng-5058	62	11	holm	holm	PROPN
fumecheng-5058	62	12	’s	’s	PART
fumecheng-5058	62	13	radius	radius	NOUN
fumecheng-5058	62	14	[	[	X
fumecheng-5058	62	15	19	19	NUM
fumecheng-5058	62	16	]	]	PUNCT
fumecheng-5058	62	17	,	,	PUNCT
fumecheng-5058	62	18	whose	whose	DET
fumecheng-5058	62	19	value	value	NOUN
fumecheng-5058	62	20	was	be	AUX
fumecheng-5058	62	21	estimated	estimate	VERB
fumecheng-5058	62	22	in	in	ADP
fumecheng-5058	62	23	[	[	X
fumecheng-5058	62	24	20,21	20,21	NUM
fumecheng-5058	62	25	]	]	PUNCT
fumecheng-5058	62	26	.	.	PUNCT
fumecheng-5058	63	1	finally	finally	ADV
fumecheng-5058	63	2	,	,	PUNCT
fumecheng-5058	63	3	it	it	PRON
fumecheng-5058	63	4	is	be	AUX
fumecheng-5058	63	5	clear	clear	ADJ
fumecheng-5058	63	6	that	that	SCONJ
fumecheng-5058	63	7	for	for	ADP
fumecheng-5058	63	8	a	a	DET
fumecheng-5058	63	9	circular	circular	ADJ
fumecheng-5058	63	10	contact	contact	NOUN
fumecheng-5058	63	11	area	area	NOUN
fumecheng-5058	63	12	coincides	coincide	VERB
fumecheng-5058	63	13	with	with	ADP
fumecheng-5058	63	14	the	the	DET
fumecheng-5058	63	15	contact	contact	NOUN
fumecheng-5058	63	16	radius	radius	NOUN
fumecheng-5058	63	17	.	.	PUNCT
fumecheng-5058	64	1	3	3	X
fumecheng-5058	64	2	.	.	X
fumecheng-5058	64	3	popov	popov	PROPN
fumecheng-5058	64	4	’s	’s	PART
fumecheng-5058	64	5	foundation	foundation	NOUN
fumecheng-5058	64	6	in	in	ADP
fumecheng-5058	64	7	this	this	DET
fumecheng-5058	64	8	section	section	NOUN
fumecheng-5058	64	9	we	we	PRON
fumecheng-5058	64	10	recast	recast	VERB
fumecheng-5058	64	11	the	the	DET
fumecheng-5058	64	12	underlying	underlying	ADJ
fumecheng-5058	64	13	concept	concept	NOUN
fumecheng-5058	64	14	of	of	ADP
fumecheng-5058	64	15	the	the	DET
fumecheng-5058	64	16	mdr	mdr	PROPN
fumecheng-5058	64	17	into	into	ADP
fumecheng-5058	64	18	a	a	DET
fumecheng-5058	64	19	simple	simple	ADJ
fumecheng-5058	64	20	form	form	NOUN
fumecheng-5058	64	21	.	.	PUNCT
fumecheng-5058	65	1	for	for	ADP
fumecheng-5058	65	2	a	a	DET
fumecheng-5058	65	3	complete	complete	ADJ
fumecheng-5058	65	4	and	and	CCONJ
fumecheng-5058	65	5	detailed	detailed	ADJ
fumecheng-5058	65	6	review	review	NOUN
fumecheng-5058	65	7	of	of	ADP
fumecheng-5058	65	8	the	the	DET
fumecheng-5058	65	9	mdr	mdr	PROPN
fumecheng-5058	65	10	,	,	PUNCT
fumecheng-5058	65	11	the	the	DET
fumecheng-5058	65	12	reader	reader	NOUN
fumecheng-5058	65	13	is	be	AUX
fumecheng-5058	65	14	referred	refer	VERB
fumecheng-5058	65	15	to	to	ADP
fumecheng-5058	65	16	[	[	X
fumecheng-5058	65	17	22–26	22–26	NOUN
fumecheng-5058	65	18	]	]	PUNCT
fumecheng-5058	65	19	.	.	PUNCT
fumecheng-5058	66	1	3.1	3.1	NUM
fumecheng-5058	66	2	.	.	PUNCT
fumecheng-5058	67	1	equivalent	equivalent	ADJ
fumecheng-5058	67	2	profile	profile	NOUN
fumecheng-5058	67	3	returning	return	VERB
fumecheng-5058	67	4	back	back	ADV
fumecheng-5058	67	5	to	to	ADP
fumecheng-5058	67	6	the	the	DET
fumecheng-5058	67	7	contact	contact	NOUN
fumecheng-5058	67	8	problem	problem	NOUN
fumecheng-5058	67	9	for	for	ADP
fumecheng-5058	67	10	a	a	DET
fumecheng-5058	67	11	rigid	rigid	ADJ
fumecheng-5058	67	12	indenter	indenter	NOUN
fumecheng-5058	67	13	,	,	PUNCT
fumecheng-5058	67	14	which	which	PRON
fumecheng-5058	67	15	is	be	AUX
fumecheng-5058	67	16	bounded	bound	VERB
fumecheng-5058	67	17	by	by	ADP
fumecheng-5058	67	18	the	the	DET
fumecheng-5058	67	19	surface	surface	NOUN
fumecheng-5058	67	20	(	(	PUNCT
fumecheng-5058	67	21	6	6	NUM
fumecheng-5058	67	22	)	)	PUNCT
fumecheng-5058	67	23	,	,	PUNCT
fumecheng-5058	67	24	let	let	VERB
fumecheng-5058	67	25	us	we	PRON
fumecheng-5058	67	26	now	now	ADV
fumecheng-5058	67	27	assume	assume	VERB
fumecheng-5058	67	28	that	that	SCONJ
fumecheng-5058	67	29	it	it	PRON
fumecheng-5058	67	30	is	be	AUX
fumecheng-5058	67	31	pressed	press	VERB
fumecheng-5058	67	32	against	against	ADP
fumecheng-5058	67	33	an	an	DET
fumecheng-5058	67	34	elastic	elastic	ADJ
fumecheng-5058	67	35	half	half	ADJ
fumecheng-5058	67	36	-	-	PUNCT
fumecheng-5058	67	37	space	space	NOUN
fumecheng-5058	67	38	.	.	PUNCT
fumecheng-5058	68	1	considering	consider	VERB
fumecheng-5058	68	2	the	the	DET
fumecheng-5058	68	3	indentation	indentation	NOUN
fumecheng-5058	68	4	as	as	ADP
fumecheng-5058	68	5	a	a	DET
fumecheng-5058	68	6	one	one	NUM
fumecheng-5058	68	7	-	-	PUNCT
fumecheng-5058	68	8	parametric	parametric	ADJ
fumecheng-5058	68	9	process	process	NOUN
fumecheng-5058	68	10	,	,	PUNCT
fumecheng-5058	68	11	that	that	PRON
fumecheng-5058	68	12	is	be	AUX
fumecheng-5058	68	13	the	the	DET
fumecheng-5058	68	14	case	case	NOUN
fumecheng-5058	68	15	for	for	ADP
fumecheng-5058	68	16	normal	normal	ADJ
fumecheng-5058	68	17	translational	translational	ADJ
fumecheng-5058	68	18	displacement	displacement	NOUN
fumecheng-5058	68	19	of	of	ADP
fumecheng-5058	68	20	the	the	DET
fumecheng-5058	68	21	indenter	indenter	NOUN
fumecheng-5058	68	22	,	,	PUNCT
fumecheng-5058	68	23	both	both	DET
fumecheng-5058	68	24	contact	contact	NOUN
fumecheng-5058	68	25	force	force	NOUN
fumecheng-5058	68	26	and	and	CCONJ
fumecheng-5058	68	27	indenter	indenter	PROPN
fumecheng-5058	68	28	displacement	displacement	NOUN
fumecheng-5058	68	29	can	can	AUX
fumecheng-5058	68	30	be	be	AUX
fumecheng-5058	68	31	regarded	regard	VERB
fumecheng-5058	68	32	as	as	ADP
fumecheng-5058	68	33	one	one	NUM
fumecheng-5058	68	34	-	-	PUNCT
fumecheng-5058	68	35	valued	value	VERB
fumecheng-5058	68	36	functions	function	NOUN
fumecheng-5058	68	37	of	of	ADP
fumecheng-5058	68	38	harmonic	harmonic	ADJ
fumecheng-5058	68	39	capacity	capacity	NOUN
fumecheng-5058	68	40	radius	radius	NOUN
fumecheng-5058	68	41	.	.	PUNCT
fumecheng-5058	69	1	in	in	ADP
fumecheng-5058	69	2	particular	particular	ADJ
fumecheng-5058	69	3	,	,	PUNCT
fumecheng-5058	69	4	let	let	VERB
fumecheng-5058	69	5	the	the	DET
fumecheng-5058	69	6	latter	latter	ADJ
fumecheng-5058	69	7	function	function	NOUN
fumecheng-5058	69	8	be	be	AUX
fumecheng-5058	69	9	designated	designate	VERB
fumecheng-5058	69	10	as	as	ADP
fumecheng-5058	69	11	(	(	PUNCT
fumecheng-5058	69	12	)	)	PUNCT
fumecheng-5058	69	13	g	g	ADJ
fumecheng-5058	69	14			NOUN
fumecheng-5058	69	15	(	(	PUNCT
fumecheng-5058	69	16	11	11	NUM
fumecheng-5058	69	17	)	)	PUNCT
fumecheng-5058	69	18	the	the	DET
fumecheng-5058	69	19	mdr	mdr	PROPN
fumecheng-5058	69	20	reduces	reduce	VERB
fumecheng-5058	69	21	the	the	DET
fumecheng-5058	69	22	elastic	elastic	ADJ
fumecheng-5058	69	23	contact	contact	NOUN
fumecheng-5058	69	24	problem	problem	NOUN
fumecheng-5058	69	25	to	to	ADP
fumecheng-5058	69	26	a	a	DET
fumecheng-5058	69	27	much	much	ADV
fumecheng-5058	69	28	simpler	simple	ADJ
fumecheng-5058	69	29	contact	contact	NOUN
fumecheng-5058	69	30	problem	problem	NOUN
fumecheng-5058	69	31	for	for	ADP
fumecheng-5058	69	32	a	a	DET
fumecheng-5058	69	33	one	one	NUM
fumecheng-5058	69	34	-	-	PUNCT
fumecheng-5058	69	35	dimensional	dimensional	ADJ
fumecheng-5058	69	36	winkler	winkler	NOUN
fumecheng-5058	69	37	-	-	PUNCT
fumecheng-5058	69	38	type	type	NOUN
fumecheng-5058	69	39	linearly	linearly	ADV
fumecheng-5058	69	40	deformable	deformable	ADJ
fumecheng-5058	69	41	foundation	foundation	NOUN
fumecheng-5058	69	42	,	,	PUNCT
fumecheng-5058	69	43	which	which	PRON
fumecheng-5058	69	44	will	will	AUX
fumecheng-5058	69	45	be	be	AUX
fumecheng-5058	69	46	called	call	VERB
fumecheng-5058	69	47	the	the	DET
fumecheng-5058	69	48	popov	popov	PROPN
fumecheng-5058	69	49	foundation	foundation	PROPN
fumecheng-5058	69	50	,	,	PUNCT
fumecheng-5058	69	51	and	and	CCONJ
fumecheng-5058	69	52	a	a	DET
fumecheng-5058	69	53	rigid	rigid	ADJ
fumecheng-5058	69	54	punch	punch	NOUN
fumecheng-5058	69	55	of	of	ADP
fumecheng-5058	69	56	equivalent	equivalent	ADJ
fumecheng-5058	69	57	profile	profile	NOUN
fumecheng-5058	69	58	.	.	PUNCT
fumecheng-5058	70	1	the	the	DET
fumecheng-5058	70	2	latter	latter	ADJ
fumecheng-5058	70	3	is	be	AUX
fumecheng-5058	70	4	described	describe	VERB
fumecheng-5058	70	5	by	by	ADP
fumecheng-5058	70	6	the	the	DET
fumecheng-5058	70	7	equation	equation	NOUN
fumecheng-5058	70	8	(	(	PUNCT
fumecheng-5058	70	9	|	|	ADV
fumecheng-5058	70	10	|)z	|)z	PUNCT
fumecheng-5058	70	11	g	g	PROPN
fumecheng-5058	70	12	x	x	PROPN
fumecheng-5058	70	13			PROPN
fumecheng-5058	70	14	,	,	PUNCT
fumecheng-5058	70	15	(	(	PUNCT
fumecheng-5058	70	16	12	12	NUM
fumecheng-5058	70	17	)	)	PUNCT
fumecheng-5058	70	18	where	where	SCONJ
fumecheng-5058	70	19	and	and	CCONJ
fumecheng-5058	70	20	are	be	AUX
fumecheng-5058	70	21	horizontal	horizontal	ADJ
fumecheng-5058	70	22	and	and	CCONJ
fumecheng-5058	70	23	vertical	vertical	ADJ
fumecheng-5058	70	24	coordinates	coordinate	NOUN
fumecheng-5058	70	25	,	,	PUNCT
fumecheng-5058	70	26	and	and	CCONJ
fumecheng-5058	70	27	function	function	NOUN
fumecheng-5058	70	28	(	(	PUNCT
fumecheng-5058	70	29	)	)	PUNCT
fumecheng-5058	70	30	,	,	PUNCT
fumecheng-5058	70	31	,	,	PUNCT
fumecheng-5058	70	32	is	be	AUX
fumecheng-5058	70	33	defined	define	VERB
fumecheng-5058	70	34	according	accord	VERB
fumecheng-5058	70	35	to	to	ADP
fumecheng-5058	70	36	eq	eq	PROPN
fumecheng-5058	70	37	.	.	PUNCT
fumecheng-5058	71	1	(	(	PUNCT
fumecheng-5058	71	2	11	11	NUM
fumecheng-5058	71	3	)	)	PUNCT
fumecheng-5058	71	4	.	.	PUNCT
fumecheng-5058	72	1	note	note	VERB
fumecheng-5058	72	2	that	that	SCONJ
fumecheng-5058	72	3	,	,	PUNCT
fumecheng-5058	72	4	by	by	ADP
fumecheng-5058	72	5	definition	definition	NOUN
fumecheng-5058	72	6	,	,	PUNCT
fumecheng-5058	72	7	the	the	DET
fumecheng-5058	72	8	equivalent	equivalent	ADJ
fumecheng-5058	72	9	punch	punch	NOUN
fumecheng-5058	72	10	is	be	AUX
fumecheng-5058	72	11	symmetric	symmetric	ADJ
fumecheng-5058	72	12	,	,	PUNCT
fumecheng-5058	72	13	and	and	CCONJ
fumecheng-5058	72	14	,	,	PUNCT
fumecheng-5058	72	15	therefore	therefore	ADV
fumecheng-5058	72	16	,	,	PUNCT
fumecheng-5058	72	17	the	the	DET
fumecheng-5058	72	18	contact	contact	NOUN
fumecheng-5058	72	19	interval	interval	NOUN
fumecheng-5058	72	20	will	will	AUX
fumecheng-5058	72	21	be	be	AUX
fumecheng-5058	72	22	symmetric	symmetric	ADJ
fumecheng-5058	72	23	with	with	ADP
fumecheng-5058	72	24	respect	respect	NOUN
fumecheng-5058	72	25	to	to	ADP
fumecheng-5058	72	26	the	the	DET
fumecheng-5058	72	27	-axis	-axis	NOUN
fumecheng-5058	72	28	as	as	ADV
fumecheng-5058	72	29	well	well	ADV
fumecheng-5058	72	30	.	.	PUNCT
fumecheng-5058	73	1	from	from	ADP
fumecheng-5058	73	2	winkler	winkler	NOUN
fumecheng-5058	73	3	's	's	PART
fumecheng-5058	73	4	foundation	foundation	NOUN
fumecheng-5058	73	5	to	to	ADP
fumecheng-5058	73	6	popov	popov	PROPN
fumecheng-5058	73	7	's	's	PART
fumecheng-5058	73	8	foundation	foundation	NOUN
fumecheng-5058	73	9	185	185	NUM
fumecheng-5058	73	10	3.2	3.2	NUM
fumecheng-5058	73	11	.	.	PUNCT
fumecheng-5058	74	1	stiffness	stiffness	ADJ
fumecheng-5058	74	2	coefficient	coefficient	NOUN
fumecheng-5058	74	3	of	of	ADP
fumecheng-5058	74	4	the	the	DET
fumecheng-5058	74	5	popov	popov	PROPN
fumecheng-5058	74	6	foundation	foundation	PROPN
fumecheng-5058	74	7	the	the	DET
fumecheng-5058	74	8	intuitive	intuitive	ADJ
fumecheng-5058	74	9	simplicity	simplicity	NOUN
fumecheng-5058	74	10	of	of	ADP
fumecheng-5058	74	11	solving	solve	VERB
fumecheng-5058	74	12	the	the	DET
fumecheng-5058	74	13	mdr	mdr	PROPN
fumecheng-5058	74	14	equivalent	equivalent	PROPN
fumecheng-5058	74	15	contact	contact	NOUN
fumecheng-5058	74	16	problem	problem	NOUN
fumecheng-5058	74	17	is	be	AUX
fumecheng-5058	74	18	explained	explain	VERB
fumecheng-5058	74	19	not	not	PART
fumecheng-5058	74	20	only	only	ADV
fumecheng-5058	74	21	by	by	ADP
fumecheng-5058	74	22	the	the	DET
fumecheng-5058	74	23	simple	simple	ADJ
fumecheng-5058	74	24	character	character	NOUN
fumecheng-5058	74	25	of	of	ADP
fumecheng-5058	74	26	the	the	DET
fumecheng-5058	74	27	deformation	deformation	NOUN
fumecheng-5058	74	28	response	response	NOUN
fumecheng-5058	74	29	of	of	ADP
fumecheng-5058	74	30	the	the	DET
fumecheng-5058	74	31	popov	popov	NOUN
fumecheng-5058	74	32	linearly	linearly	ADV
fumecheng-5058	74	33	deformable	deformable	ADJ
fumecheng-5058	74	34	foundation	foundation	NOUN
fumecheng-5058	74	35	,	,	PUNCT
fumecheng-5058	74	36	but	but	CCONJ
fumecheng-5058	74	37	by	by	ADP
fumecheng-5058	74	38	the	the	DET
fumecheng-5058	74	39	exact	exact	ADJ
fumecheng-5058	74	40	correspondences	correspondence	NOUN
fumecheng-5058	74	41	(	(	PUNCT
fumecheng-5058	74	42	equalities	equality	NOUN
fumecheng-5058	74	43	)	)	PUNCT
fumecheng-5058	74	44	between	between	ADP
fumecheng-5058	74	45	the	the	DET
fumecheng-5058	74	46	kinematic	kinematic	ADJ
fumecheng-5058	74	47	and	and	CCONJ
fumecheng-5058	74	48	force	force	NOUN
fumecheng-5058	74	49	parameters	parameter	NOUN
fumecheng-5058	74	50	,	,	PUNCT
fumecheng-5058	74	51	which	which	PRON
fumecheng-5058	74	52	are	be	AUX
fumecheng-5058	74	53	denoted	denote	VERB
fumecheng-5058	74	54	by	by	ADP
fumecheng-5058	74	55	the	the	DET
fumecheng-5058	74	56	same	same	ADJ
fumecheng-5058	74	57	symbols	symbol	NOUN
fumecheng-5058	74	58	and	and	CCONJ
fumecheng-5058	74	59	.	.	PUNCT
fumecheng-5058	75	1	while	while	SCONJ
fumecheng-5058	75	2	the	the	DET
fumecheng-5058	75	3	first	first	ADJ
fumecheng-5058	75	4	(	(	PUNCT
fumecheng-5058	75	5	kinematic	kinematic	ADJ
fumecheng-5058	75	6	)	)	PUNCT
fumecheng-5058	75	7	correspondence	correspondence	NOUN
fumecheng-5058	75	8	is	be	AUX
fumecheng-5058	75	9	facilitated	facilitate	VERB
fumecheng-5058	75	10	by	by	ADP
fumecheng-5058	75	11	eqs	eqs	PROPN
fumecheng-5058	75	12	.	.	PUNCT
fumecheng-5058	76	1	(	(	PUNCT
fumecheng-5058	76	2	11	11	NUM
fumecheng-5058	76	3	)	)	PUNCT
fumecheng-5058	76	4	and	and	CCONJ
fumecheng-5058	76	5	(	(	PUNCT
fumecheng-5058	76	6	12	12	NUM
fumecheng-5058	76	7	)	)	PUNCT
fumecheng-5058	76	8	,	,	PUNCT
fumecheng-5058	76	9	the	the	DET
fumecheng-5058	76	10	second	second	ADJ
fumecheng-5058	76	11	(	(	PUNCT
fumecheng-5058	76	12	force	force	NOUN
fumecheng-5058	76	13	)	)	PUNCT
fumecheng-5058	76	14	correspondence	correspondence	NOUN
fumecheng-5058	76	15	is	be	AUX
fumecheng-5058	76	16	achieved	achieve	VERB
fumecheng-5058	76	17	by	by	ADP
fumecheng-5058	76	18	tuning	tune	VERB
fumecheng-5058	76	19	the	the	DET
fumecheng-5058	76	20	popov	popov	PROPN
fumecheng-5058	76	21	foundation	foundation	PROPN
fumecheng-5058	76	22	coefficient	coefficient	NOUN
fumecheng-5058	76	23	,	,	PUNCT
fumecheng-5058	76	24	.	.	PUNCT
fumecheng-5058	77	1	it	it	PRON
fumecheng-5058	77	2	is	be	AUX
fumecheng-5058	77	3	to	to	PART
fumecheng-5058	77	4	note	note	VERB
fumecheng-5058	77	5	here	here	ADV
fumecheng-5058	77	6	that	that	SCONJ
fumecheng-5058	77	7	the	the	DET
fumecheng-5058	77	8	mdr	mdr	PROPN
fumecheng-5058	77	9	transformation	transformation	NOUN
fumecheng-5058	77	10	rules	rule	VERB
fumecheng-5058	77	11	for	for	ADP
fumecheng-5058	77	12	the	the	DET
fumecheng-5058	77	13	exact	exact	ADJ
fumecheng-5058	77	14	mapping	mapping	NOUN
fumecheng-5058	77	15	of	of	ADP
fumecheng-5058	77	16	any	any	DET
fumecheng-5058	77	17	axisymmetric	axisymmetric	ADJ
fumecheng-5058	77	18	normal	normal	ADJ
fumecheng-5058	77	19	contact	contact	NOUN
fumecheng-5058	77	20	with	with	ADP
fumecheng-5058	77	21	and	and	CCONJ
fumecheng-5058	77	22	without	without	ADP
fumecheng-5058	77	23	adhesion	adhesion	NOUN
fumecheng-5058	77	24	have	have	AUX
fumecheng-5058	77	25	been	be	AUX
fumecheng-5058	77	26	first	first	ADV
fumecheng-5058	77	27	given	give	VERB
fumecheng-5058	77	28	by	by	ADP
fumecheng-5058	77	29	heß	heß	NOUN
fumecheng-5058	77	30	[	[	X
fumecheng-5058	77	31	27	27	NUM
fumecheng-5058	77	32	]	]	PUNCT
fumecheng-5058	77	33	.	.	PUNCT
fumecheng-5058	78	1	the	the	DET
fumecheng-5058	78	2	incremental	incremental	ADJ
fumecheng-5058	78	3	indentation	indentation	NOUN
fumecheng-5058	78	4	stiffness	stiffness	NOUN
fumecheng-5058	78	5	for	for	ADP
fumecheng-5058	78	6	the	the	DET
fumecheng-5058	78	7	popov	popov	PROPN
fumecheng-5058	78	8	foundation	foundation	PROPN
fumecheng-5058	78	9	is	be	AUX
fumecheng-5058	78	10	equal	equal	ADJ
fumecheng-5058	78	11	to	to	ADP
fumecheng-5058	78	12	,	,	PUNCT
fumecheng-5058	78	13	since	since	SCONJ
fumecheng-5058	78	14	is	be	AUX
fumecheng-5058	78	15	the	the	DET
fumecheng-5058	78	16	length	length	NOUN
fumecheng-5058	78	17	of	of	ADP
fumecheng-5058	78	18	the	the	DET
fumecheng-5058	78	19	one	one	NUM
fumecheng-5058	78	20	-	-	PUNCT
fumecheng-5058	78	21	dimensional	dimensional	ADJ
fumecheng-5058	78	22	contact	contact	NOUN
fumecheng-5058	78	23	interval	interval	NOUN
fumecheng-5058	78	24	.	.	PUNCT
fumecheng-5058	79	1	on	on	ADP
fumecheng-5058	79	2	the	the	DET
fumecheng-5058	79	3	other	other	ADJ
fumecheng-5058	79	4	hand	hand	NOUN
fumecheng-5058	79	5	,	,	PUNCT
fumecheng-5058	79	6	the	the	DET
fumecheng-5058	79	7	incremental	incremental	ADJ
fumecheng-5058	79	8	contact	contact	NOUN
fumecheng-5058	79	9	stiffness	stiffness	NOUN
fumecheng-5058	79	10	of	of	ADP
fumecheng-5058	79	11	an	an	DET
fumecheng-5058	79	12	elastic	elastic	ADJ
fumecheng-5058	79	13	half	half	ADJ
fumecheng-5058	79	14	-	-	PUNCT
fumecheng-5058	79	15	space	space	NOUN
fumecheng-5058	79	16	is	be	AUX
fumecheng-5058	79	17	given	give	VERB
fumecheng-5058	79	18	by	by	ADP
fumecheng-5058	79	19	eq	eq	PROPN
fumecheng-5058	79	20	.	.	PUNCT
fumecheng-5058	80	1	(	(	PUNCT
fumecheng-5058	80	2	10	10	NUM
fumecheng-5058	80	3	)	)	PUNCT
fumecheng-5058	80	4	.	.	PUNCT
fumecheng-5058	81	1	by	by	ADP
fumecheng-5058	81	2	equating	equate	VERB
fumecheng-5058	81	3	these	these	DET
fumecheng-5058	81	4	two	two	NUM
fumecheng-5058	81	5	values	value	NOUN
fumecheng-5058	81	6	,	,	PUNCT
fumecheng-5058	81	7	we	we	PRON
fumecheng-5058	81	8	readily	readily	ADV
fumecheng-5058	81	9	arrive	arrive	VERB
fumecheng-5058	81	10	at	at	ADP
fumecheng-5058	81	11	the	the	DET
fumecheng-5058	81	12	following	follow	VERB
fumecheng-5058	81	13	relation	relation	NOUN
fumecheng-5058	81	14	[	[	X
fumecheng-5058	81	15	11	11	NUM
fumecheng-5058	81	16	]	]	X
fumecheng-5058	81	17	:	:	PUNCT
fumecheng-5058	81	18	*	*	PUNCT
fumecheng-5058	81	19	zk	zk	INTJ
fumecheng-5058	81	20	e	e	ADJ
fumecheng-5058	81	21	.	.	PUNCT
fumecheng-5058	82	1	(	(	PUNCT
fumecheng-5058	82	2	13	13	NUM
fumecheng-5058	82	3	)	)	PUNCT
fumecheng-5058	82	4	let	let	VERB
fumecheng-5058	82	5	us	we	PRON
fumecheng-5058	82	6	emphasize	emphasize	VERB
fumecheng-5058	82	7	[	[	X
fumecheng-5058	82	8	15	15	NUM
fumecheng-5058	82	9	]	]	PUNCT
fumecheng-5058	82	10	that	that	PRON
fumecheng-5058	82	11	,	,	PUNCT
fumecheng-5058	82	12	while	while	SCONJ
fumecheng-5058	82	13	in	in	ADP
fumecheng-5058	82	14	the	the	DET
fumecheng-5058	82	15	one	one	NUM
fumecheng-5058	82	16	-	-	PUNCT
fumecheng-5058	82	17	dimensional	dimensional	ADJ
fumecheng-5058	82	18	equivalent	equivalent	ADJ
fumecheng-5058	82	19	contact	contact	NOUN
fumecheng-5058	82	20	problem	problem	NOUN
fumecheng-5058	82	21	is	be	AUX
fumecheng-5058	82	22	the	the	DET
fumecheng-5058	82	23	half	half	ADJ
fumecheng-5058	82	24	-	-	PUNCT
fumecheng-5058	82	25	width	width	NOUN
fumecheng-5058	82	26	of	of	ADP
fumecheng-5058	82	27	the	the	DET
fumecheng-5058	82	28	contact	contact	NOUN
fumecheng-5058	82	29	interval	interval	NOUN
fumecheng-5058	82	30	,	,	PUNCT
fumecheng-5058	82	31	in	in	ADP
fumecheng-5058	82	32	the	the	DET
fumecheng-5058	82	33	original	original	ADJ
fumecheng-5058	82	34	elastic	elastic	ADJ
fumecheng-5058	82	35	contact	contact	NOUN
fumecheng-5058	82	36	problem	problem	NOUN
fumecheng-5058	82	37	has	have	VERB
fumecheng-5058	82	38	the	the	DET
fumecheng-5058	82	39	meaning	meaning	NOUN
fumecheng-5058	82	40	of	of	ADP
fumecheng-5058	82	41	the	the	DET
fumecheng-5058	82	42	harmonic	harmonic	ADJ
fumecheng-5058	82	43	capacity	capacity	NOUN
fumecheng-5058	82	44	radius	radius	NOUN
fumecheng-5058	82	45	of	of	ADP
fumecheng-5058	82	46	the	the	DET
fumecheng-5058	82	47	current	current	ADJ
fumecheng-5058	82	48	contact	contact	NOUN
fumecheng-5058	82	49	area	area	NOUN
fumecheng-5058	82	50	,	,	PUNCT
fumecheng-5058	82	51	which	which	PRON
fumecheng-5058	82	52	corresponds	correspond	VERB
fumecheng-5058	82	53	to	to	ADP
fumecheng-5058	82	54	the	the	DET
fumecheng-5058	82	55	same	same	ADJ
fumecheng-5058	82	56	value	value	NOUN
fumecheng-5058	82	57	of	of	ADP
fumecheng-5058	82	58	kinematic	kinematic	ADJ
fumecheng-5058	82	59	parameter	parameter	NOUN
fumecheng-5058	82	60	.	.	PUNCT
fumecheng-5058	83	1	4	4	X
fumecheng-5058	83	2	.	.	X
fumecheng-5058	83	3	adhesive	adhesive	ADJ
fumecheng-5058	83	4	strength	strength	NOUN
fumecheng-5058	83	5	of	of	ADP
fumecheng-5058	83	6	elastic	elastic	ADJ
fumecheng-5058	83	7	contacts	contact	NOUN
fumecheng-5058	83	8	in	in	ADP
fumecheng-5058	83	9	this	this	DET
fumecheng-5058	83	10	section	section	NOUN
fumecheng-5058	83	11	,	,	PUNCT
fumecheng-5058	83	12	we	we	PRON
fumecheng-5058	83	13	touch	touch	VERB
fumecheng-5058	83	14	on	on	ADP
fumecheng-5058	83	15	the	the	DET
fumecheng-5058	83	16	adhesive	adhesive	ADJ
fumecheng-5058	83	17	aspect	aspect	NOUN
fumecheng-5058	83	18	of	of	ADP
fumecheng-5058	83	19	unilateral	unilateral	ADJ
fumecheng-5058	83	20	frictionless	frictionless	ADJ
fumecheng-5058	83	21	contact	contact	NOUN
fumecheng-5058	83	22	.	.	PUNCT
fumecheng-5058	84	1	4.1	4.1	NUM
fumecheng-5058	84	2	.	.	PUNCT
fumecheng-5058	84	3	adhesive	adhesive	ADJ
fumecheng-5058	84	4	strength	strength	NOUN
fumecheng-5058	84	5	of	of	ADP
fumecheng-5058	84	6	the	the	DET
fumecheng-5058	84	7	winkler	winkler	PROPN
fumecheng-5058	84	8	foundation	foundation	PROPN
fumecheng-5058	84	9	consider	consider	VERB
fumecheng-5058	84	10	first	first	ADV
fumecheng-5058	84	11	a	a	DET
fumecheng-5058	84	12	flat	flat	ADV
fumecheng-5058	84	13	-	-	PUNCT
fumecheng-5058	84	14	ended	end	VERB
fumecheng-5058	84	15	contact	contact	NOUN
fumecheng-5058	84	16	with	with	ADP
fumecheng-5058	84	17	a	a	DET
fumecheng-5058	84	18	winkler	winkler	NOUN
fumecheng-5058	84	19	foundation	foundation	NOUN
fumecheng-5058	84	20	.	.	PUNCT
fumecheng-5058	85	1	to	to	PART
fumecheng-5058	85	2	be	be	AUX
fumecheng-5058	85	3	more	more	ADV
fumecheng-5058	85	4	specific	specific	ADJ
fumecheng-5058	85	5	,	,	PUNCT
fumecheng-5058	85	6	we	we	PRON
fumecheng-5058	85	7	assume	assume	VERB
fumecheng-5058	85	8	that	that	SCONJ
fumecheng-5058	85	9	a	a	DET
fumecheng-5058	85	10	flat	flat	ADV
fumecheng-5058	85	11	-	-	PUNCT
fumecheng-5058	85	12	ended	end	VERB
fumecheng-5058	85	13	indenter	indenter	NOUN
fumecheng-5058	85	14	is	be	AUX
fumecheng-5058	85	15	pressed	press	VERB
fumecheng-5058	85	16	against	against	ADP
fumecheng-5058	85	17	a	a	DET
fumecheng-5058	85	18	very	very	ADV
fumecheng-5058	85	19	thin	thin	ADJ
fumecheng-5058	85	20	compressible	compressible	ADJ
fumecheng-5058	85	21	elastic	elastic	ADJ
fumecheng-5058	85	22	layer	layer	NOUN
fumecheng-5058	85	23	bonded	bond	VERB
fumecheng-5058	85	24	to	to	ADP
fumecheng-5058	85	25	an	an	DET
fumecheng-5058	85	26	absolutely	absolutely	ADV
fumecheng-5058	85	27	rigid	rigid	ADJ
fumecheng-5058	85	28	substrate	substrate	NOUN
fumecheng-5058	85	29	.	.	PUNCT
fumecheng-5058	86	1	it	it	PRON
fumecheng-5058	86	2	was	be	AUX
fumecheng-5058	86	3	shown	show	VERB
fumecheng-5058	86	4	by	by	ADP
fumecheng-5058	86	5	aleksandrov	aleksandrov	NOUN
fumecheng-5058	86	6	[	[	X
fumecheng-5058	86	7	28	28	NUM
fumecheng-5058	86	8	]	]	PUNCT
fumecheng-5058	86	9	that	that	SCONJ
fumecheng-5058	86	10	the	the	DET
fumecheng-5058	86	11	normal	normal	ADJ
fumecheng-5058	86	12	deformation	deformation	NOUN
fumecheng-5058	86	13	of	of	ADP
fumecheng-5058	86	14	such	such	ADJ
fumecheng-5058	86	15	isotropic	isotropic	ADJ
fumecheng-5058	86	16	elastic	elastic	ADJ
fumecheng-5058	86	17	layer	layer	NOUN
fumecheng-5058	86	18	coincides	coincide	VERB
fumecheng-5058	86	19	with	with	ADP
fumecheng-5058	86	20	that	that	PRON
fumecheng-5058	86	21	of	of	ADP
fumecheng-5058	86	22	a	a	DET
fumecheng-5058	86	23	winkler	winkler	NOUN
fumecheng-5058	86	24	foundation	foundation	NOUN
fumecheng-5058	86	25	with	with	ADP
fumecheng-5058	86	26	the	the	DET
fumecheng-5058	86	27	foundation	foundation	NOUN
fumecheng-5058	86	28	constant	constant	ADJ
fumecheng-5058	87	1	ae	ae	PROPN
fumecheng-5058	87	2	k	k	PROPN
fumecheng-5058	87	3	h	h	PROPN
fumecheng-5058	88	1			PROPN
fumecheng-5058	88	2	,	,	PUNCT
fumecheng-5058	88	3	(	(	PUNCT
fumecheng-5058	88	4	14	14	NUM
fumecheng-5058	88	5	)	)	PUNCT
fumecheng-5058	88	6	where	where	SCONJ
fumecheng-5058	88	7	is	be	AUX
fumecheng-5058	88	8	the	the	DET
fumecheng-5058	88	9	layer	layer	NOUN
fumecheng-5058	88	10	thickness	thickness	NOUN
fumecheng-5058	88	11	,	,	PUNCT
fumecheng-5058	88	12	and	and	CCONJ
fumecheng-5058	88	13	(	(	PUNCT
fumecheng-5058	88	14	)	)	PUNCT
fumecheng-5058	88	15	(	(	PUNCT
fumecheng-5058	88	16	)	)	PUNCT
fumecheng-5058	88	17	(	(	PUNCT
fumecheng-5058	88	18	)	)	PUNCT
fumecheng-5058	88	19	is	be	AUX
fumecheng-5058	88	20	the	the	DET
fumecheng-5058	88	21	so	so	ADV
fumecheng-5058	88	22	-	-	PUNCT
fumecheng-5058	88	23	called	call	VERB
fumecheng-5058	88	24	aggregate	aggregate	ADJ
fumecheng-5058	88	25	elastic	elastic	ADJ
fumecheng-5058	88	26	modulus	modulus	NOUN
fumecheng-5058	88	27	.	.	PUNCT
fumecheng-5058	89	1	under	under	ADP
fumecheng-5058	89	2	certain	certain	ADJ
fumecheng-5058	89	3	conditions	condition	NOUN
fumecheng-5058	89	4	(	(	PUNCT
fumecheng-5058	89	5	when	when	SCONJ
fumecheng-5058	89	6	contour	contour	NOUN
fumecheng-5058	89	7	of	of	ADP
fumecheng-5058	89	8	contact	contact	NOUN
fumecheng-5058	89	9	area	area	NOUN
fumecheng-5058	89	10	is	be	AUX
fumecheng-5058	89	11	smooth	smooth	ADJ
fumecheng-5058	89	12	with	with	ADP
fumecheng-5058	89	13	a	a	DET
fumecheng-5058	89	14	variable	variable	ADJ
fumecheng-5058	89	15	curvature	curvature	NOUN
fumecheng-5058	89	16	radius	radius	NOUN
fumecheng-5058	89	17	much	much	ADV
fumecheng-5058	89	18	larger	large	ADJ
fumecheng-5058	89	19	than	than	ADP
fumecheng-5058	89	20	the	the	DET
fumecheng-5058	89	21	layer	layer	NOUN
fumecheng-5058	89	22	thickness	thickness	NOUN
fumecheng-5058	89	23	)	)	PUNCT
fumecheng-5058	89	24	,	,	PUNCT
fumecheng-5058	89	25	the	the	DET
fumecheng-5058	89	26	jkr	jkr	ADJ
fumecheng-5058	89	27	-	-	PUNCT
fumecheng-5058	89	28	type	type	NOUN
fumecheng-5058	89	29	detachment	detachment	NOUN
fumecheng-5058	89	30	criterion	criterion	NOUN
fumecheng-5058	89	31	on	on	ADP
fumecheng-5058	89	32	the	the	DET
fumecheng-5058	89	33	contact	contact	NOUN
fumecheng-5058	89	34	contour	contour	NOUN
fumecheng-5058	89	35	can	can	AUX
fumecheng-5058	89	36	be	be	AUX
fumecheng-5058	89	37	formulated	formulate	VERB
fumecheng-5058	89	38	as	as	SCONJ
fumecheng-5058	89	39	follows	follow	VERB
fumecheng-5058	89	40	[	[	X
fumecheng-5058	89	41	29	29	NUM
fumecheng-5058	89	42	]	]	SYM
fumecheng-5058	89	43	:	:	PUNCT
fumecheng-5058	89	44	2	2	NUM
fumecheng-5058	89	45	,	,	PUNCT
fumecheng-5058	89	46	a	a	DET
fumecheng-5058	89	47	c	c	NOUN
fumecheng-5058	89	48	c	c	NOUN
fumecheng-5058	89	49	e	e	NOUN
fumecheng-5058	89	50	p	p	NOUN
fumecheng-5058	89	51	p	p	X
fumecheng-5058	89	52	p	p	NOUN
fumecheng-5058	89	53	h	h	NOUN
fumecheng-5058	89	54			NOUN
fumecheng-5058	89	55			NOUN
fumecheng-5058	89	56			NUM
fumecheng-5058	89	57			PROPN
fumecheng-5058	89	58			PROPN
fumecheng-5058	89	59			NUM
fumecheng-5058	89	60	,	,	PUNCT
fumecheng-5058	89	61	(	(	PUNCT
fumecheng-5058	89	62	15	15	NUM
fumecheng-5058	89	63	)	)	PUNCT
fumecheng-5058	89	64	where	where	SCONJ
fumecheng-5058	89	65	denotes	denote	VERB
fumecheng-5058	89	66	the	the	DET
fumecheng-5058	89	67	work	work	NOUN
fumecheng-5058	89	68	of	of	ADP
fumecheng-5058	89	69	adhesion	adhesion	NOUN
fumecheng-5058	89	70	,	,	PUNCT
fumecheng-5058	89	71	and	and	CCONJ
fumecheng-5058	89	72	negative	negative	ADJ
fumecheng-5058	89	73	sign	sign	NOUN
fumecheng-5058	89	74	denotes	denote	NOUN
fumecheng-5058	89	75	tensile	tensile	NOUN
fumecheng-5058	89	76	stresses	stress	NOUN
fumecheng-5058	89	77	.	.	PUNCT
fumecheng-5058	90	1	186	186	NUM
fumecheng-5058	90	2	i.	i.	PROPN
fumecheng-5058	90	3	argatov	argatov	PROPN
fumecheng-5058	90	4	observe	observe	VERB
fumecheng-5058	90	5	that	that	SCONJ
fumecheng-5058	90	6	eq	eq	ADP
fumecheng-5058	90	7	.	.	PUNCT
fumecheng-5058	91	1	(	(	PUNCT
fumecheng-5058	91	2	15	15	NUM
fumecheng-5058	91	3	)	)	PUNCT
fumecheng-5058	91	4	was	be	AUX
fumecheng-5058	91	5	derived	derive	VERB
fumecheng-5058	91	6	with	with	ADP
fumecheng-5058	91	7	the	the	DET
fumecheng-5058	91	8	help	help	NOUN
fumecheng-5058	91	9	of	of	ADP
fumecheng-5058	91	10	asymptotic	asymptotic	ADJ
fumecheng-5058	91	11	modeling	modeling	NOUN
fumecheng-5058	91	12	technique	technique	NOUN
fumecheng-5058	91	13	from	from	ADP
fumecheng-5058	91	14	the	the	DET
fumecheng-5058	91	15	stress	stress	NOUN
fumecheng-5058	91	16	-	-	PUNCT
fumecheng-5058	91	17	intensity	intensity	NOUN
fumecheng-5058	91	18	factor	factor	NOUN
fumecheng-5058	91	19	(	(	PUNCT
fumecheng-5058	91	20	sif	sif	PROPN
fumecheng-5058	91	21	)	)	PUNCT
fumecheng-5058	91	22	of	of	ADP
fumecheng-5058	91	23	the	the	DET
fumecheng-5058	91	24	boundary	boundary	ADJ
fumecheng-5058	91	25	layer	layer	NOUN
fumecheng-5058	91	26	(	(	PUNCT
fumecheng-5058	91	27	we	we	PRON
fumecheng-5058	91	28	refer	refer	VERB
fumecheng-5058	91	29	to	to	ADP
fumecheng-5058	91	30	[	[	X
fumecheng-5058	91	31	30,31	30,31	NUM
fumecheng-5058	91	32	]	]	PUNCT
fumecheng-5058	91	33	for	for	ADP
fumecheng-5058	91	34	more	more	ADJ
fumecheng-5058	91	35	details	detail	NOUN
fumecheng-5058	91	36	)	)	PUNCT
fumecheng-5058	91	37	.	.	PUNCT
fumecheng-5058	92	1	now	now	ADV
fumecheng-5058	92	2	,	,	PUNCT
fumecheng-5058	92	3	let	let	VERB
fumecheng-5058	92	4	the	the	DET
fumecheng-5058	92	5	flat	flat	ADV
fumecheng-5058	92	6	-	-	PUNCT
fumecheng-5058	92	7	ended	end	VERB
fumecheng-5058	92	8	indenter	indenter	NOUN
fumecheng-5058	92	9	is	be	AUX
fumecheng-5058	92	10	pulled	pull	VERB
fumecheng-5058	92	11	from	from	ADP
fumecheng-5058	92	12	the	the	DET
fumecheng-5058	92	13	layer	layer	NOUN
fumecheng-5058	92	14	surface	surface	NOUN
fumecheng-5058	92	15	with	with	ADP
fumecheng-5058	92	16	its	its	PRON
fumecheng-5058	92	17	base	base	NOUN
fumecheng-5058	92	18	maintaining	maintain	VERB
fumecheng-5058	92	19	a	a	DET
fumecheng-5058	92	20	horizontal	horizontal	ADJ
fumecheng-5058	92	21	position	position	NOUN
fumecheng-5058	92	22	.	.	PUNCT
fumecheng-5058	93	1	the	the	DET
fumecheng-5058	93	2	pull	pull	VERB
fumecheng-5058	93	3	-	-	PUNCT
fumecheng-5058	93	4	off	off	ADP
fumecheng-5058	93	5	force	force	NOUN
fumecheng-5058	93	6	,	,	PUNCT
fumecheng-5058	93	7	,	,	PUNCT
fumecheng-5058	93	8	thus	thus	ADV
fumecheng-5058	93	9	,	,	PUNCT
fumecheng-5058	93	10	is	be	AUX
fumecheng-5058	93	11	given	give	VERB
fumecheng-5058	93	12	by	by	ADP
fumecheng-5058	93	13	c	c	PROPN
fumecheng-5058	93	14	cf	cf	NOUN
fumecheng-5058	93	15	ap	ap	ADJ
fumecheng-5058	93	16	.	.	PUNCT
fumecheng-5058	94	1	(	(	PUNCT
fumecheng-5058	94	2	16	16	NUM
fumecheng-5058	94	3	)	)	PUNCT
fumecheng-5058	94	4	this	this	PRON
fumecheng-5058	94	5	means	mean	VERB
fumecheng-5058	94	6	that	that	SCONJ
fumecheng-5058	94	7	the	the	DET
fumecheng-5058	94	8	winkler	winkler	PROPN
fumecheng-5058	94	9	foundation	foundation	PROPN
fumecheng-5058	94	10	based	base	VERB
fumecheng-5058	94	11	model	model	NOUN
fumecheng-5058	94	12	of	of	ADP
fumecheng-5058	94	13	adhesive	adhesive	ADJ
fumecheng-5058	94	14	contact	contact	NOUN
fumecheng-5058	94	15	,	,	PUNCT
fumecheng-5058	94	16	eqs	eqs	PROPN
fumecheng-5058	94	17	.	.	PUNCT
fumecheng-5058	94	18	(	(	PUNCT
fumecheng-5058	94	19	14)–(16	14)–(16	NUM
fumecheng-5058	94	20	)	)	PUNCT
fumecheng-5058	94	21	,	,	PUNCT
fumecheng-5058	94	22	predicts	predict	VERB
fumecheng-5058	94	23	that	that	SCONJ
fumecheng-5058	94	24	the	the	DET
fumecheng-5058	94	25	adhesive	adhesive	ADJ
fumecheng-5058	94	26	strength	strength	NOUN
fumecheng-5058	94	27	is	be	AUX
fumecheng-5058	94	28	proportional	proportional	ADJ
fumecheng-5058	94	29	to	to	ADP
fumecheng-5058	94	30	the	the	DET
fumecheng-5058	94	31	contact	contact	NOUN
fumecheng-5058	94	32	area	area	NOUN
fumecheng-5058	94	33	.	.	PUNCT
fumecheng-5058	95	1	4.2	4.2	NUM
fumecheng-5058	95	2	.	.	PUNCT
fumecheng-5058	95	3	adhesive	adhesive	ADJ
fumecheng-5058	95	4	strength	strength	NOUN
fumecheng-5058	95	5	of	of	ADP
fumecheng-5058	95	6	the	the	DET
fumecheng-5058	95	7	kendall	kendall	PROPN
fumecheng-5058	95	8	type	type	NOUN
fumecheng-5058	95	9	contact	contact	NOUN
fumecheng-5058	95	10	in	in	ADP
fumecheng-5058	95	11	the	the	DET
fumecheng-5058	95	12	case	case	NOUN
fumecheng-5058	95	13	of	of	ADP
fumecheng-5058	95	14	an	an	DET
fumecheng-5058	95	15	isotropic	isotropic	ADJ
fumecheng-5058	95	16	elastic	elastic	ADJ
fumecheng-5058	95	17	half	half	ADJ
fumecheng-5058	95	18	-	-	PUNCT
fumecheng-5058	95	19	space	space	NOUN
fumecheng-5058	95	20	,	,	PUNCT
fumecheng-5058	95	21	the	the	DET
fumecheng-5058	95	22	pull	pull	NOUN
fumecheng-5058	95	23	-	-	PUNCT
fumecheng-5058	95	24	off	off	ADP
fumecheng-5058	95	25	force	force	NOUN
fumecheng-5058	95	26	of	of	ADP
fumecheng-5058	95	27	a	a	DET
fumecheng-5058	95	28	circular	circular	ADJ
fumecheng-5058	95	29	cylindrical	cylindrical	ADJ
fumecheng-5058	95	30	indenter	indenter	NOUN
fumecheng-5058	95	31	of	of	ADP
fumecheng-5058	95	32	radius	radius	NOUN
fumecheng-5058	95	33	was	be	AUX
fumecheng-5058	95	34	evaluated	evaluate	VERB
fumecheng-5058	95	35	by	by	ADP
fumecheng-5058	95	36	kendall	kendall	PROPN
fumecheng-5058	95	37	as	as	ADP
fumecheng-5058	95	38	3	3	NUM
fumecheng-5058	95	39	*	*	NOUN
fumecheng-5058	95	40	8cf	8cf	NOUN
fumecheng-5058	95	41	a	a	DET
fumecheng-5058	95	42	e	e	ADJ
fumecheng-5058	95	43			PROPN
fumecheng-5058	95	44			VERB
fumecheng-5058	95	45			NUM
fumecheng-5058	95	46	,	,	PUNCT
fumecheng-5058	95	47	(	(	PUNCT
fumecheng-5058	95	48	17	17	NUM
fumecheng-5058	95	49	)	)	PUNCT
fumecheng-5058	95	50	however	however	ADV
fumecheng-5058	95	51	,	,	PUNCT
fumecheng-5058	95	52	generalization	generalization	NOUN
fumecheng-5058	95	53	of	of	ADP
fumecheng-5058	95	54	kendall	kendall	PROPN
fumecheng-5058	95	55	’s	’s	PART
fumecheng-5058	95	56	formula	formula	NOUN
fumecheng-5058	95	57	(	(	PUNCT
fumecheng-5058	95	58	17	17	NUM
fumecheng-5058	95	59	)	)	PUNCT
fumecheng-5058	95	60	to	to	ADP
fumecheng-5058	95	61	the	the	DET
fumecheng-5058	95	62	non	non	ADJ
fumecheng-5058	95	63	-	-	ADJ
fumecheng-5058	95	64	axisymmetric	axisymmetric	ADJ
fumecheng-5058	95	65	case	case	NOUN
fumecheng-5058	95	66	is	be	AUX
fumecheng-5058	95	67	not	not	PART
fumecheng-5058	95	68	trivial	trivial	ADJ
fumecheng-5058	95	69	.	.	PUNCT
fumecheng-5058	96	1	following	follow	VERB
fumecheng-5058	96	2	kendall	kendall	PROPN
fumecheng-5058	96	3	[	[	X
fumecheng-5058	96	4	32	32	NUM
fumecheng-5058	96	5	]	]	PUNCT
fumecheng-5058	96	6	,	,	PUNCT
fumecheng-5058	96	7	we	we	PRON
fumecheng-5058	96	8	consider	consider	VERB
fumecheng-5058	96	9	an	an	DET
fumecheng-5058	96	10	arbitrary	arbitrary	ADJ
fumecheng-5058	96	11	flat	flat	ADV
fumecheng-5058	96	12	-	-	PUNCT
fumecheng-5058	96	13	ended	end	VERB
fumecheng-5058	96	14	punch	punch	NOUN
fumecheng-5058	96	15	making	make	VERB
fumecheng-5058	96	16	perfect	perfect	ADJ
fumecheng-5058	96	17	contact	contact	NOUN
fumecheng-5058	96	18	with	with	ADP
fumecheng-5058	96	19	an	an	DET
fumecheng-5058	96	20	elastic	elastic	ADJ
fumecheng-5058	96	21	half	half	ADJ
fumecheng-5058	96	22	-	-	PUNCT
fumecheng-5058	96	23	space	space	NOUN
fumecheng-5058	96	24	of	of	ADP
fumecheng-5058	96	25	reduced	reduce	VERB
fumecheng-5058	96	26	modulus	modulus	NOUN
fumecheng-5058	96	27	.	.	PUNCT
fumecheng-5058	97	1	when	when	SCONJ
fumecheng-5058	97	2	a	a	DET
fumecheng-5058	97	3	pull	pull	VERB
fumecheng-5058	97	4	-	-	PUNCT
fumecheng-5058	97	5	off	off	ADP
fumecheng-5058	97	6	force	force	NOUN
fumecheng-5058	97	7	is	be	AUX
fumecheng-5058	97	8	applied	apply	VERB
fumecheng-5058	97	9	to	to	ADP
fumecheng-5058	97	10	the	the	DET
fumecheng-5058	97	11	punch	punch	NOUN
fumecheng-5058	97	12	,	,	PUNCT
fumecheng-5058	97	13	its	its	PRON
fumecheng-5058	97	14	displacement	displacement	NOUN
fumecheng-5058	97	15	is	be	AUX
fumecheng-5058	97	16	given	give	VERB
fumecheng-5058	97	17	by	by	ADP
fumecheng-5058	97	18	*	*	PROPN
fumecheng-5058	97	19	2	2	NUM
fumecheng-5058	97	20	f	f	NOUN
fumecheng-5058	97	21	e	e	PROPN
fumecheng-5058	97	22			PROPN
fumecheng-5058	97	23			NOUN
fumecheng-5058	97	24	,	,	PUNCT
fumecheng-5058	97	25	where	where	SCONJ
fumecheng-5058	97	26	is	be	AUX
fumecheng-5058	97	27	the	the	DET
fumecheng-5058	97	28	harmonic	harmonic	ADJ
fumecheng-5058	97	29	capacity	capacity	NOUN
fumecheng-5058	97	30	radius	radius	NOUN
fumecheng-5058	97	31	of	of	ADP
fumecheng-5058	97	32	the	the	DET
fumecheng-5058	97	33	contact	contact	NOUN
fumecheng-5058	97	34	area	area	NOUN
fumecheng-5058	97	35	,	,	PUNCT
fumecheng-5058	97	36	and	and	CCONJ
fumecheng-5058	97	37	the	the	DET
fumecheng-5058	97	38	elastic	elastic	ADJ
fumecheng-5058	97	39	energy	energy	NOUN
fumecheng-5058	97	40	will	will	AUX
fumecheng-5058	97	41	be	be	AUX
fumecheng-5058	97	42	2	2	NUM
fumecheng-5058	97	43	*	*	SYM
fumecheng-5058	97	44	const	const	NOUN
fumecheng-5058	97	45	.	.	PUNCT
fumecheng-5058	98	1	4	4	NUM
fumecheng-5058	98	2	e	e	NOUN
fumecheng-5058	98	3	f	f	PROPN
fumecheng-5058	98	4	u	u	X
fumecheng-5058	98	5	e	e	X
fumecheng-5058	98	6			X
fumecheng-5058	98	7			PROPN
fumecheng-5058	98	8			PUNCT
fumecheng-5058	98	9	the	the	DET
fumecheng-5058	98	10	surface	surface	NOUN
fumecheng-5058	98	11	energy	energy	NOUN
fumecheng-5058	98	12	is	be	AUX
fumecheng-5058	98	13	su	su	PROPN
fumecheng-5058	98	14	a	a	NOUN
fumecheng-5058	98	15			ADJ
fumecheng-5058	98	16	,	,	PUNCT
fumecheng-5058	98	17	where	where	SCONJ
fumecheng-5058	98	18	is	be	AUX
fumecheng-5058	98	19	the	the	DET
fumecheng-5058	98	20	area	area	NOUN
fumecheng-5058	98	21	of	of	ADP
fumecheng-5058	98	22	contact	contact	NOUN
fumecheng-5058	98	23	.	.	PUNCT
fumecheng-5058	99	1	further	far	ADV
fumecheng-5058	99	2	,	,	PUNCT
fumecheng-5058	99	3	the	the	DET
fumecheng-5058	99	4	potential	potential	ADJ
fumecheng-5058	99	5	energy	energy	NOUN
fumecheng-5058	99	6	of	of	ADP
fumecheng-5058	99	7	the	the	DET
fumecheng-5058	99	8	load	load	NOUN
fumecheng-5058	99	9	is	be	AUX
fumecheng-5058	99	10	2	2	NUM
fumecheng-5058	99	11	*	*	PUNCT
fumecheng-5058	99	12	const	const	NOUN
fumecheng-5058	99	13	.	.	PUNCT
fumecheng-5058	100	1	2	2	NUM
fumecheng-5058	100	2	p	p	NOUN
fumecheng-5058	100	3	f	f	PROPN
fumecheng-5058	100	4	u	u	NOUN
fumecheng-5058	100	5	e	e	PROPN
fumecheng-5058	100	6			X
fumecheng-5058	100	7			PROPN
fumecheng-5058	100	8			PROPN
fumecheng-5058	100	9			VERB
fumecheng-5058	100	10	thus	thus	ADV
fumecheng-5058	100	11	,	,	PUNCT
fumecheng-5058	100	12	collecting	collect	VERB
fumecheng-5058	100	13	the	the	DET
fumecheng-5058	100	14	above	above	ADJ
fumecheng-5058	100	15	formulas	formula	NOUN
fumecheng-5058	100	16	,	,	PUNCT
fumecheng-5058	100	17	we	we	PRON
fumecheng-5058	100	18	evaluate	evaluate	VERB
fumecheng-5058	100	19	the	the	DET
fumecheng-5058	100	20	total	total	ADJ
fumecheng-5058	100	21	energy	energy	NOUN
fumecheng-5058	100	22	as	as	SCONJ
fumecheng-5058	100	23	follows	follow	VERB
fumecheng-5058	100	24	:	:	PUNCT
fumecheng-5058	101	1	2	2	NUM
fumecheng-5058	101	2	*	*	SYM
fumecheng-5058	101	3	const	const	NOUN
fumecheng-5058	101	4	.	.	PUNCT
fumecheng-5058	102	1	4	4	NUM
fumecheng-5058	102	2	t	t	NOUN
fumecheng-5058	102	3	f	f	PROPN
fumecheng-5058	102	4	u	u	PROPN
fumecheng-5058	102	5	a	a	DET
fumecheng-5058	102	6	e	e	NOUN
fumecheng-5058	102	7			NUM
fumecheng-5058	102	8			NUM
fumecheng-5058	102	9			PROPN
fumecheng-5058	102	10			PROPN
fumecheng-5058	102	11			NOUN
fumecheng-5058	102	12			X
fumecheng-5058	102	13	(	(	PUNCT
fumecheng-5058	102	14	18	18	NUM
fumecheng-5058	102	15	)	)	PUNCT
fumecheng-5058	102	16	observe	observe	VERB
fumecheng-5058	102	17	that	that	PRON
fumecheng-5058	102	18	and	and	CCONJ
fumecheng-5058	102	19	represent	represent	VERB
fumecheng-5058	102	20	two	two	NUM
fumecheng-5058	102	21	different	different	ADJ
fumecheng-5058	102	22	integral	integral	ADJ
fumecheng-5058	102	23	characteristics	characteristic	NOUN
fumecheng-5058	102	24	of	of	ADP
fumecheng-5058	102	25	the	the	DET
fumecheng-5058	102	26	contact	contact	NOUN
fumecheng-5058	102	27	area	area	NOUN
fumecheng-5058	102	28	.	.	PUNCT
fumecheng-5058	103	1	in	in	ADP
fumecheng-5058	103	2	the	the	DET
fumecheng-5058	103	3	general	general	ADJ
fumecheng-5058	103	4	case	case	NOUN
fumecheng-5058	103	5	,	,	PUNCT
fumecheng-5058	103	6	the	the	DET
fumecheng-5058	103	7	following	follow	VERB
fumecheng-5058	103	8	inequality	inequality	NOUN
fumecheng-5058	103	9	takes	take	VERB
fumecheng-5058	103	10	place	place	NOUN
fumecheng-5058	103	11	[	[	X
fumecheng-5058	103	12	33	33	NUM
fumecheng-5058	103	13	]	]	X
fumecheng-5058	103	14	:	:	PUNCT
fumecheng-5058	103	15	a	a	DET
fumecheng-5058	103	16			NUM
fumecheng-5058	103	17			PROPN
fumecheng-5058	103	18	.	.	PUNCT
fumecheng-5058	104	1	(	(	PUNCT
fumecheng-5058	104	2	19	19	NUM
fumecheng-5058	104	3	)	)	PUNCT
fumecheng-5058	104	4	from	from	ADP
fumecheng-5058	104	5	winkler	winkler	NOUN
fumecheng-5058	104	6	's	's	PART
fumecheng-5058	104	7	foundation	foundation	NOUN
fumecheng-5058	104	8	to	to	ADP
fumecheng-5058	104	9	popov	popov	PROPN
fumecheng-5058	104	10	's	's	PART
fumecheng-5058	104	11	foundation	foundation	NOUN
fumecheng-5058	104	12	187	187	NUM
fumecheng-5058	104	13	so	so	ADV
fumecheng-5058	104	14	,	,	PUNCT
fumecheng-5058	104	15	differentiating	differentiate	VERB
fumecheng-5058	104	16	eq	eq	NOUN
fumecheng-5058	104	17	.	.	PUNCT
fumecheng-5058	105	1	(	(	PUNCT
fumecheng-5058	105	2	18	18	NUM
fumecheng-5058	105	3	)	)	PUNCT
fumecheng-5058	105	4	with	with	ADP
fumecheng-5058	105	5	respect	respect	NOUN
fumecheng-5058	105	6	to	to	ADP
fumecheng-5058	105	7	,	,	PUNCT
fumecheng-5058	105	8	we	we	PRON
fumecheng-5058	105	9	readily	readily	ADV
fumecheng-5058	105	10	get	get	VERB
fumecheng-5058	105	11	2	2	NUM
fumecheng-5058	105	12	*	*	SYM
fumecheng-5058	105	13	24	24	NUM
fumecheng-5058	105	14	tu	tu	PROPN
fumecheng-5058	105	15	f	f	PROPN
fumecheng-5058	105	16	a	a	DET
fumecheng-5058	105	17	ae	ae	PROPN
fumecheng-5058	105	18			PROPN
fumecheng-5058	105	19			PROPN
fumecheng-5058	105	20			PROPN
fumecheng-5058	105	21			PROPN
fumecheng-5058	105	22			ADV
fumecheng-5058	105	23			ADJ
fumecheng-5058	105	24			ADJ
fumecheng-5058	105	25			NOUN
fumecheng-5058	105	26			ADP
fumecheng-5058	105	27			X
fumecheng-5058	105	28	.	.	PUNCT
fumecheng-5058	106	1	(	(	PUNCT
fumecheng-5058	106	2	20	20	NUM
fumecheng-5058	106	3	)	)	PUNCT
fumecheng-5058	106	4	now	now	ADV
fumecheng-5058	106	5	,	,	PUNCT
fumecheng-5058	106	6	making	make	VERB
fumecheng-5058	106	7	use	use	NOUN
fumecheng-5058	106	8	of	of	ADP
fumecheng-5058	106	9	the	the	DET
fumecheng-5058	106	10	monotonicity	monotonicity	NOUN
fumecheng-5058	106	11	property	property	NOUN
fumecheng-5058	106	12	,	,	PUNCT
fumecheng-5058	106	13	which	which	PRON
fumecheng-5058	106	14	holds	hold	VERB
fumecheng-5058	106	15	for	for	ADP
fumecheng-5058	106	16	both	both	DET
fumecheng-5058	106	17	geometric	geometric	ADJ
fumecheng-5058	106	18	quantities	quantity	NOUN
fumecheng-5058	106	19	and	and	CCONJ
fumecheng-5058	106	20	,	,	PUNCT
fumecheng-5058	106	21	and	and	CCONJ
fumecheng-5058	106	22	assuming	assume	VERB
fumecheng-5058	106	23	that	that	SCONJ
fumecheng-5058	106	24	for	for	ADP
fumecheng-5058	106	25	,	,	PUNCT
fumecheng-5058	106	26	we	we	PRON
fumecheng-5058	106	27	derive	derive	VERB
fumecheng-5058	106	28	from	from	ADP
fumecheng-5058	106	29	(	(	PUNCT
fumecheng-5058	106	30	19	19	NUM
fumecheng-5058	106	31	)	)	PUNCT
fumecheng-5058	106	32	by	by	ADP
fumecheng-5058	106	33	differentiation	differentiation	NOUN
fumecheng-5058	106	34	that	that	SCONJ
fumecheng-5058	106	35	1	1	NUM
fumecheng-5058	106	36	2	2	NUM
fumecheng-5058	106	37	aa	aa	NOUN
fumecheng-5058	106	38			ADJ
fumecheng-5058	106	39			NUM
fumecheng-5058	106	40			ADJ
fumecheng-5058	106	41			X
fumecheng-5058	106	42			PROPN
fumecheng-5058	106	43	.	.	PUNCT
fumecheng-5058	107	1	(	(	PUNCT
fumecheng-5058	107	2	21	21	NUM
fumecheng-5058	107	3	)	)	PUNCT
fumecheng-5058	107	4	following	follow	VERB
fumecheng-5058	107	5	the	the	DET
fumecheng-5058	107	6	argumentation	argumentation	NOUN
fumecheng-5058	107	7	of	of	ADP
fumecheng-5058	107	8	kendall	kendall	PROPN
fumecheng-5058	107	9	[	[	X
fumecheng-5058	107	10	29	29	NUM
fumecheng-5058	107	11	]	]	PUNCT
fumecheng-5058	107	12	,	,	PUNCT
fumecheng-5058	107	13	we	we	PRON
fumecheng-5058	107	14	state	state	VERB
fumecheng-5058	107	15	that	that	SCONJ
fumecheng-5058	107	16	detachment	detachment	NOUN
fumecheng-5058	107	17	is	be	AUX
fumecheng-5058	107	18	possible	possible	ADJ
fumecheng-5058	107	19	when	when	SCONJ
fumecheng-5058	107	20	0tu	0tu	ADJ
fumecheng-5058	107	21	a	a	DET
fumecheng-5058	107	22			ADJ
fumecheng-5058	107	23			NUM
fumecheng-5058	107	24			PROPN
fumecheng-5058	107	25	.	.	PUNCT
fumecheng-5058	108	1	(	(	PUNCT
fumecheng-5058	108	2	22	22	NUM
fumecheng-5058	108	3	)	)	PUNCT
fumecheng-5058	108	4	thus	thus	ADV
fumecheng-5058	108	5	,	,	PUNCT
fumecheng-5058	108	6	from	from	ADP
fumecheng-5058	108	7	eqs	eqs	PROPN
fumecheng-5058	108	8	.	.	PUNCT
fumecheng-5058	109	1	(	(	PUNCT
fumecheng-5058	109	2	20)–(22	20)–(22	NOUN
fumecheng-5058	109	3	)	)	PUNCT
fumecheng-5058	109	4	,	,	PUNCT
fumecheng-5058	109	5	it	it	PRON
fumecheng-5058	109	6	follows	follow	VERB
fumecheng-5058	109	7	that	that	SCONJ
fumecheng-5058	109	8	2	2	NUM
fumecheng-5058	109	9	*	*	PUNCT
fumecheng-5058	109	10	28cf	28cf	ADJ
fumecheng-5058	109	11	ae	ae	NOUN
fumecheng-5058	109	12			NOUN
fumecheng-5058	109	13			X
fumecheng-5058	109	14			NUM
fumecheng-5058	109	15	.	.	PUNCT
fumecheng-5058	110	1	(	(	PUNCT
fumecheng-5058	110	2	23	23	NUM
fumecheng-5058	110	3	)	)	PUNCT
fumecheng-5058	110	4	or	or	CCONJ
fumecheng-5058	110	5	using	use	VERB
fumecheng-5058	110	6	the	the	DET
fumecheng-5058	110	7	inequality	inequality	NOUN
fumecheng-5058	110	8	(	(	PUNCT
fumecheng-5058	110	9	19	19	NUM
fumecheng-5058	110	10	)	)	PUNCT
fumecheng-5058	110	11	once	once	ADV
fumecheng-5058	110	12	again	again	ADV
fumecheng-5058	110	13	,	,	PUNCT
fumecheng-5058	110	14	we	we	PRON
fumecheng-5058	110	15	arrive	arrive	VERB
fumecheng-5058	110	16	at	at	ADP
fumecheng-5058	110	17	the	the	DET
fumecheng-5058	110	18	following	follow	VERB
fumecheng-5058	110	19	relation	relation	NOUN
fumecheng-5058	110	20	[	[	X
fumecheng-5058	110	21	34	34	NUM
fumecheng-5058	110	22	]	]	X
fumecheng-5058	110	23	:	:	PUNCT
fumecheng-5058	110	24	2	2	NUM
fumecheng-5058	110	25	*	*	SYM
fumecheng-5058	110	26	38cf	38cf	NOUN
fumecheng-5058	110	27	e	e	NOUN
fumecheng-5058	110	28			VERB
fumecheng-5058	110	29			NOUN
fumecheng-5058	110	30			NUM
fumecheng-5058	110	31	.	.	PUNCT
fumecheng-5058	111	1	(	(	PUNCT
fumecheng-5058	111	2	24	24	NUM
fumecheng-5058	111	3	)	)	PUNCT
fumecheng-5058	111	4	another	another	DET
fumecheng-5058	111	5	estimate	estimate	NOUN
fumecheng-5058	111	6	for	for	ADP
fumecheng-5058	111	7	the	the	DET
fumecheng-5058	111	8	pull	pull	VERB
fumecheng-5058	111	9	-	-	PUNCT
fumecheng-5058	111	10	off	off	ADP
fumecheng-5058	111	11	force	force	NOUN
fumecheng-5058	111	12	can	can	AUX
fumecheng-5058	111	13	be	be	AUX
fumecheng-5058	111	14	derived	derive	VERB
fumecheng-5058	111	15	from	from	ADP
fumecheng-5058	111	16	the	the	DET
fumecheng-5058	111	17	approximate	approximate	ADJ
fumecheng-5058	111	18	solution	solution	NOUN
fumecheng-5058	111	19	obtained	obtain	VERB
fumecheng-5058	111	20	by	by	ADP
fumecheng-5058	111	21	fabrikant	fabrikant	PROPN
fumecheng-5058	112	1	[	[	X
fumecheng-5058	112	2	16	16	NUM
fumecheng-5058	112	3	]	]	PUNCT
fumecheng-5058	112	4	for	for	ADP
fumecheng-5058	112	5	an	an	DET
fumecheng-5058	112	6	arbitrary	arbitrary	ADJ
fumecheng-5058	112	7	flat	flat	ADV
fumecheng-5058	112	8	-	-	PUNCT
fumecheng-5058	112	9	ended	end	VERB
fumecheng-5058	112	10	indenter	indenter	NOUN
fumecheng-5058	112	11	2	2	NUM
fumecheng-5058	112	12	2	2	NUM
fumecheng-5058	112	13	(	(	PUNCT
fumecheng-5058	112	14	)	)	PUNCT
fumecheng-5058	112	15	(	(	PUNCT
fumecheng-5058	112	16	,	,	PUNCT
fumecheng-5058	112	17	)	)	PUNCT
fumecheng-5058	112	18	2	2	NUM
fumecheng-5058	112	19	(	(	PUNCT
fumecheng-5058	112	20	)	)	PUNCT
fumecheng-5058	112	21	fa	fa	NOUN
fumecheng-5058	113	1	p	p	NOUN
fumecheng-5058	113	2	r	r	NOUN
fumecheng-5058	113	3	a	a	PRON
fumecheng-5058	113	4	a	a	DET
fumecheng-5058	113	5	r	r	NOUN
fumecheng-5058	113	6			X
fumecheng-5058	113	7			X
fumecheng-5058	113	8			PROPN
fumecheng-5058	114	1			PROPN
fumecheng-5058	114	2			PROPN
fumecheng-5058	114	3	,	,	PUNCT
fumecheng-5058	114	4	(	(	PUNCT
fumecheng-5058	114	5	25	25	NUM
fumecheng-5058	114	6	)	)	PUNCT
fumecheng-5058	114	7	where	where	SCONJ
fumecheng-5058	114	8	the	the	DET
fumecheng-5058	114	9	equation	equation	NOUN
fumecheng-5058	114	10	(	(	PUNCT
fumecheng-5058	114	11	)	)	PUNCT
fumecheng-5058	114	12	determines	determine	VERB
fumecheng-5058	114	13	the	the	DET
fumecheng-5058	114	14	boundary	boundary	NOUN
fumecheng-5058	114	15	of	of	ADP
fumecheng-5058	114	16	the	the	DET
fumecheng-5058	114	17	contact	contact	NOUN
fumecheng-5058	114	18	area	area	NOUN
fumecheng-5058	114	19	in	in	ADP
fumecheng-5058	114	20	the	the	DET
fumecheng-5058	114	21	polar	polar	ADJ
fumecheng-5058	114	22	coordinates	coordinate	NOUN
fumecheng-5058	114	23	(	(	PUNCT
fumecheng-5058	114	24	)	)	PUNCT
fumecheng-5058	114	25	.	.	PUNCT
fumecheng-5058	115	1	formula	formula	NOUN
fumecheng-5058	115	2	(	(	PUNCT
fumecheng-5058	115	3	25	25	NUM
fumecheng-5058	115	4	)	)	PUNCT
fumecheng-5058	115	5	implies	imply	VERB
fumecheng-5058	115	6	the	the	DET
fumecheng-5058	115	7	following	follow	VERB
fumecheng-5058	115	8	approximation	approximation	NOUN
fumecheng-5058	115	9	for	for	ADP
fumecheng-5058	115	10	the	the	DET
fumecheng-5058	115	11	maximum	maximum	ADJ
fumecheng-5058	115	12	sif	sif	NOUN
fumecheng-5058	115	13	:	:	PUNCT
fumecheng-5058	115	14	1max	1max	NUM
fumecheng-5058	115	15	(	(	PUNCT
fumecheng-5058	115	16	)	)	PUNCT
fumecheng-5058	115	17	max	max	PROPN
fumecheng-5058	115	18	(	(	PUNCT
fumecheng-5058	116	1	)	)	PUNCT
fumecheng-5058	116	2	2	2	NUM
fumecheng-5058	116	3	f	f	NOUN
fumecheng-5058	116	4	k	k	NOUN
fumecheng-5058	116	5	a	a	DET
fumecheng-5058	116	6	a	a	DET
fumecheng-5058	116	7			ADJ
fumecheng-5058	116	8			PROPN
fumecheng-5058	116	9			PROPN
fumecheng-5058	116	10			PROPN
fumecheng-5058	116	11	.	.	PUNCT
fumecheng-5058	117	1	(	(	PUNCT
fumecheng-5058	117	2	26	26	NUM
fumecheng-5058	117	3	)	)	PUNCT
fumecheng-5058	117	4	recall	recall	NOUN
fumecheng-5058	117	5	that	that	PRON
fumecheng-5058	117	6	we	we	PRON
fumecheng-5058	117	7	assume	assume	VERB
fumecheng-5058	117	8	that	that	SCONJ
fumecheng-5058	117	9	,	,	PUNCT
fumecheng-5058	117	10	i.e	i.e	PRON
fumecheng-5058	117	11	,	,	PUNCT
fumecheng-5058	117	12	the	the	DET
fumecheng-5058	117	13	pull	pull	NOUN
fumecheng-5058	117	14	-	-	PUNCT
fumecheng-5058	117	15	off	off	ADP
fumecheng-5058	117	16	force	force	NOUN
fumecheng-5058	117	17	is	be	AUX
fumecheng-5058	117	18	assumed	assume	VERB
fumecheng-5058	117	19	to	to	PART
fumecheng-5058	117	20	be	be	AUX
fumecheng-5058	117	21	negative	negative	ADJ
fumecheng-5058	117	22	.	.	PUNCT
fumecheng-5058	118	1	so	so	ADV
fumecheng-5058	118	2	,	,	PUNCT
fumecheng-5058	118	3	the	the	DET
fumecheng-5058	118	4	substitution	substitution	NOUN
fumecheng-5058	118	5	of	of	ADP
fumecheng-5058	118	6	(	(	PUNCT
fumecheng-5058	118	7	26	26	NUM
fumecheng-5058	118	8	)	)	PUNCT
fumecheng-5058	118	9	into	into	ADP
fumecheng-5058	118	10	the	the	DET
fumecheng-5058	118	11	jkr	jkr	PROPN
fumecheng-5058	118	12	detachment	detachment	PROPN
fumecheng-5058	118	13	criterion	criterion	NOUN
fumecheng-5058	118	14	(	(	PUNCT
fumecheng-5058	118	15	see	see	VERB
fumecheng-5058	118	16	[	[	X
fumecheng-5058	118	17	30,31	30,31	NOUN
fumecheng-5058	118	18	]	]	X
fumecheng-5058	118	19	)	)	PUNCT
fumecheng-5058	119	1	*	*	PUNCT
fumecheng-5058	119	2	1max	1max	NUM
fumecheng-5058	119	3	(	(	PUNCT
fumecheng-5058	119	4	)	)	PUNCT
fumecheng-5058	119	5	2k	2k	PROPN
fumecheng-5058	119	6	e	e	PROPN
fumecheng-5058	119	7			PROPN
fumecheng-5058	119	8			ADJ
fumecheng-5058	119	9	yields	yield	VERB
fumecheng-5058	119	10	*	*	PUNCT
fumecheng-5058	119	11	2	2	NUM
fumecheng-5058	119	12	2	2	NUM
fumecheng-5058	119	13	16	16	NUM
fumecheng-5058	119	14	c	c	NOUN
fumecheng-5058	119	15	e	e	X
fumecheng-5058	119	16	a	a	X
fumecheng-5058	119	17	f	f	X
fumecheng-5058	119	18	d	d	NOUN
fumecheng-5058	119	19			NOUN
fumecheng-5058	119	20			NOUN
fumecheng-5058	119	21			NUM
fumecheng-5058	119	22			PROPN
fumecheng-5058	119	23	,	,	PUNCT
fumecheng-5058	119	24	(	(	PUNCT
fumecheng-5058	119	25	27	27	NUM
fumecheng-5058	119	26	)	)	PUNCT
fumecheng-5058	119	27	where	where	SCONJ
fumecheng-5058	119	28	is	be	AUX
fumecheng-5058	119	29	the	the	DET
fumecheng-5058	119	30	diameter	diameter	NOUN
fumecheng-5058	119	31	of	of	ADP
fumecheng-5058	119	32	the	the	DET
fumecheng-5058	119	33	contact	contact	NOUN
fumecheng-5058	119	34	area	area	NOUN
fumecheng-5058	119	35	.	.	PUNCT
fumecheng-5058	120	1	observe	observe	VERB
fumecheng-5058	120	2	that	that	DET
fumecheng-5058	120	3	formula	formula	NOUN
fumecheng-5058	120	4	(	(	PUNCT
fumecheng-5058	120	5	27	27	NUM
fumecheng-5058	120	6	)	)	PUNCT
fumecheng-5058	120	7	correctly	correctly	ADV
fumecheng-5058	120	8	predicts	predict	VERB
fumecheng-5058	120	9	the	the	DET
fumecheng-5058	120	10	onset	onset	NOUN
fumecheng-5058	120	11	of	of	ADP
fumecheng-5058	120	12	detachment	detachment	NOUN
fumecheng-5058	120	13	for	for	ADP
fumecheng-5058	120	14	a	a	DET
fumecheng-5058	120	15	flat	flat	ADV
fumecheng-5058	120	16	-	-	PUNCT
fumecheng-5058	120	17	ended	end	VERB
fumecheng-5058	120	18	elliptical	elliptical	ADJ
fumecheng-5058	120	19	indenter	indenter	NOUN
fumecheng-5058	120	20	.	.	PUNCT
fumecheng-5058	121	1	188	188	NUM
fumecheng-5058	121	2	i.	i.	NOUN
fumecheng-5058	121	3	argatov	argatov	PROPN
fumecheng-5058	121	4	4.3	4.3	NUM
fumecheng-5058	121	5	.	.	PUNCT
fumecheng-5058	121	6	on	on	ADP
fumecheng-5058	121	7	extension	extension	NOUN
fumecheng-5058	121	8	of	of	ADP
fumecheng-5058	121	9	the	the	DET
fumecheng-5058	121	10	mdr	mdr	PROPN
fumecheng-5058	121	11	to	to	ADP
fumecheng-5058	121	12	the	the	DET
fumecheng-5058	121	13	kendall	kendall	PROPN
fumecheng-5058	121	14	type	type	NOUN
fumecheng-5058	121	15	adhesive	adhesive	ADJ
fumecheng-5058	121	16	contact	contact	NOUN
fumecheng-5058	121	17	in	in	ADP
fumecheng-5058	121	18	the	the	DET
fumecheng-5058	121	19	case	case	NOUN
fumecheng-5058	121	20	of	of	ADP
fumecheng-5058	121	21	a	a	DET
fumecheng-5058	121	22	flat	flat	ADV
fumecheng-5058	121	23	-	-	PUNCT
fumecheng-5058	121	24	ended	end	VERB
fumecheng-5058	121	25	cylindrical	cylindrical	ADJ
fumecheng-5058	121	26	indenter	indenter	NOUN
fumecheng-5058	121	27	,	,	PUNCT
fumecheng-5058	121	28	the	the	DET
fumecheng-5058	121	29	shape	shape	NOUN
fumecheng-5058	121	30	function	function	NOUN
fumecheng-5058	121	31	can	can	AUX
fumecheng-5058	121	32	be	be	AUX
fumecheng-5058	121	33	described	describe	VERB
fumecheng-5058	121	34	as	as	SCONJ
fumecheng-5058	121	35	follows	follow	VERB
fumecheng-5058	121	36	:	:	PUNCT
fumecheng-5058	121	37	1	1	NUM
fumecheng-5058	121	38	2	2	NUM
fumecheng-5058	121	39	1	1	NUM
fumecheng-5058	121	40	2	2	NUM
fumecheng-5058	121	41	2	2	NUM
fumecheng-5058	121	42	1	1	NUM
fumecheng-5058	121	43	2	2	NUM
fumecheng-5058	121	44	0	0	NUM
fumecheng-5058	121	45	,	,	PUNCT
fumecheng-5058	121	46	(	(	PUNCT
fumecheng-5058	121	47	,	,	PUNCT
fumecheng-5058	121	48	)	)	PUNCT
fumecheng-5058	121	49	,	,	PUNCT
fumecheng-5058	121	50	(	(	PUNCT
fumecheng-5058	121	51	,	,	PUNCT
fumecheng-5058	121	52	)	)	PUNCT
fumecheng-5058	121	53	,	,	PUNCT
fumecheng-5058	121	54	(	(	PUNCT
fumecheng-5058	121	55	,	,	PUNCT
fumecheng-5058	121	56	)	)	PUNCT
fumecheng-5058	121	57	\	\	PUNCT
fumecheng-5058	121	58	.	.	PUNCT
fumecheng-5058	122	1	x	x	PUNCT
fumecheng-5058	123	1	x	x	PUNCT
fumecheng-5058	123	2	x	x	PUNCT
fumecheng-5058	123	3	x	x	PUNCT
fumecheng-5058	123	4	x	x	SYM
fumecheng-5058	123	5	x	x	NOUN
fumecheng-5058	123	6			ADJ
fumecheng-5058	123	7			PROPN
fumecheng-5058	123	8			NOUN
fumecheng-5058	123	9			NOUN
fumecheng-5058	123	10			VERB
fumecheng-5058	123	11			NOUN
fumecheng-5058	123	12			NOUN
fumecheng-5058	123	13	here,	here,	NOUN
fumecheng-5058	123	14	is	be	AUX
fumecheng-5058	123	15	the	the	DET
fumecheng-5058	123	16	contact	contact	NOUN
fumecheng-5058	123	17	area	area	NOUN
fumecheng-5058	123	18	,	,	PUNCT
fumecheng-5058	123	19	which	which	PRON
fumecheng-5058	123	20	does	do	AUX
fumecheng-5058	123	21	not	not	PART
fumecheng-5058	123	22	change	change	VERB
fumecheng-5058	123	23	during	during	ADP
fumecheng-5058	123	24	the	the	DET
fumecheng-5058	123	25	normal	normal	ADJ
fumecheng-5058	123	26	translational	translational	ADJ
fumecheng-5058	123	27	indentation	indentation	NOUN
fumecheng-5058	123	28	.	.	PUNCT
fumecheng-5058	124	1	let	let	AUX
fumecheng-5058	124	2	denote	denote	VERB
fumecheng-5058	124	3	the	the	DET
fumecheng-5058	124	4	harmonic	harmonic	ADJ
fumecheng-5058	124	5	capacity	capacity	NOUN
fumecheng-5058	124	6	radius	radius	NOUN
fumecheng-5058	124	7	of	of	ADP
fumecheng-5058	124	8			PROPN
fumecheng-5058	124	9	.	.	PUNCT
fumecheng-5058	125	1	then	then	ADV
fumecheng-5058	125	2	,	,	PUNCT
fumecheng-5058	125	3	the	the	DET
fumecheng-5058	125	4	shape	shape	NOUN
fumecheng-5058	125	5	function	function	NOUN
fumecheng-5058	125	6	of	of	ADP
fumecheng-5058	125	7	the	the	DET
fumecheng-5058	125	8	equivalent	equivalent	ADJ
fumecheng-5058	125	9	one	one	NUM
fumecheng-5058	125	10	-	-	PUNCT
fumecheng-5058	125	11	dimensional	dimensional	ADJ
fumecheng-5058	125	12	punch	punch	NOUN
fumecheng-5058	125	13	will	will	AUX
fumecheng-5058	125	14	simply	simply	ADV
fumecheng-5058	125	15	be	be	AUX
fumecheng-5058	125	16			NOUN
fumecheng-5058	125	17			PROPN
fumecheng-5058	125	18	0	0	NUM
fumecheng-5058	125	19	,	,	PUNCT
fumecheng-5058	125	20	,	,	PUNCT
fumecheng-5058	125	21	,	,	PUNCT
fumecheng-5058	125	22	.	.	PUNCT
fumecheng-5058	126	1	x	x	PUNCT
fumecheng-5058	126	2	g	g	NOUN
fumecheng-5058	126	3	x	x	X
fumecheng-5058	126	4	x	x	X
fumecheng-5058	126	5			X
fumecheng-5058	126	6			NUM
fumecheng-5058	126	7			NOUN
fumecheng-5058	126	8			VERB
fumecheng-5058	126	9			NOUN
fumecheng-5058	126	10			NOUN
fumecheng-5058	126	11			X
fumecheng-5058	126	12	note	note	VERB
fumecheng-5058	126	13	that	that	SCONJ
fumecheng-5058	126	14	in	in	ADP
fumecheng-5058	126	15	the	the	DET
fumecheng-5058	126	16	axisymmetric	axisymmetric	ADJ
fumecheng-5058	126	17	case	case	NOUN
fumecheng-5058	126	18	,	,	PUNCT
fumecheng-5058	126	19	when	when	SCONJ
fumecheng-5058	126	20	equals	equal	VERB
fumecheng-5058	126	21	the	the	DET
fumecheng-5058	126	22	contact	contact	NOUN
fumecheng-5058	126	23	radius	radius	NOUN
fumecheng-5058	126	24	,	,	PUNCT
fumecheng-5058	126	25	the	the	DET
fumecheng-5058	126	26	above	above	ADJ
fumecheng-5058	126	27	definition	definition	NOUN
fumecheng-5058	126	28	coincides	coincide	VERB
fumecheng-5058	126	29	with	with	ADP
fumecheng-5058	126	30	that	that	PRON
fumecheng-5058	126	31	of	of	ADP
fumecheng-5058	126	32	[	[	X
fumecheng-5058	126	33	11	11	NUM
fumecheng-5058	126	34	]	]	PUNCT
fumecheng-5058	126	35	.	.	PUNCT
fumecheng-5058	127	1	this	this	PRON
fumecheng-5058	127	2	means	mean	VERB
fumecheng-5058	127	3	that	that	SCONJ
fumecheng-5058	127	4	the	the	DET
fumecheng-5058	127	5	pull	pull	VERB
fumecheng-5058	127	6	-	-	PUNCT
fumecheng-5058	127	7	off	off	ADP
fumecheng-5058	127	8	force	force	NOUN
fumecheng-5058	127	9	12	12	NUM
fumecheng-5058	127	10	c	c	NOUN
fumecheng-5058	127	11	c	c	PROPN
fumecheng-5058	127	12	df	df	PROPN
fumecheng-5058	127	13	p	p	X
fumecheng-5058	127	14			PROPN
fumecheng-5058	127	15	(	(	PUNCT
fumecheng-5058	127	16	28	28	NUM
fumecheng-5058	127	17	)	)	PUNCT
fumecheng-5058	127	18	must	must	AUX
fumecheng-5058	127	19	coincide	coincide	VERB
fumecheng-5058	127	20	with	with	ADP
fumecheng-5058	127	21	kendall	kendall	PROPN
fumecheng-5058	127	22	’s	’s	PART
fumecheng-5058	127	23	result	result	NOUN
fumecheng-5058	127	24	(	(	PUNCT
fumecheng-5058	127	25	17	17	NUM
fumecheng-5058	127	26	)	)	PUNCT
fumecheng-5058	127	27	,	,	PUNCT
fumecheng-5058	127	28	when	when	SCONJ
fumecheng-5058	127	29	.	.	PUNCT
fumecheng-5058	128	1	according	accord	VERB
fumecheng-5058	128	2	to	to	ADP
fumecheng-5058	128	3	the	the	DET
fumecheng-5058	128	4	logic	logic	NOUN
fumecheng-5058	128	5	of	of	ADP
fumecheng-5058	128	6	the	the	DET
fumecheng-5058	128	7	rule	rule	NOUN
fumecheng-5058	128	8	of	of	ADP
fumecheng-5058	128	9	heß	heß	NOUN
fumecheng-5058	128	10	for	for	ADP
fumecheng-5058	128	11	the	the	DET
fumecheng-5058	128	12	adhesive	adhesive	ADJ
fumecheng-5058	128	13	contact	contact	NOUN
fumecheng-5058	128	14	between	between	ADP
fumecheng-5058	128	15	axiallysymmetric	axiallysymmetric	NOUN
fumecheng-5058	128	16	bodies	body	NOUN
fumecheng-5058	128	17	(	(	PUNCT
fumecheng-5058	128	18	see	see	VERB
fumecheng-5058	128	19	[	[	X
fumecheng-5058	128	20	11	11	NUM
fumecheng-5058	128	21	]	]	PUNCT
fumecheng-5058	128	22	,	,	PUNCT
fumecheng-5058	128	23	section	section	NOUN
fumecheng-5058	128	24	4.2	4.2	NUM
fumecheng-5058	128	25	)	)	PUNCT
fumecheng-5058	128	26	,	,	PUNCT
fumecheng-5058	128	27	the	the	DET
fumecheng-5058	128	28	critical	critical	ADJ
fumecheng-5058	128	29	value	value	NOUN
fumecheng-5058	128	30	of	of	ADP
fumecheng-5058	128	31	pressure	pressure	NOUN
fumecheng-5058	128	32	may	may	AUX
fumecheng-5058	128	33	depend	depend	VERB
fumecheng-5058	128	34	on	on	ADP
fumecheng-5058	128	35	.	.	PUNCT
fumecheng-5058	129	1	the	the	DET
fumecheng-5058	129	2	only	only	ADJ
fumecheng-5058	129	3	question	question	NOUN
fumecheng-5058	129	4	now	now	ADV
fumecheng-5058	129	5	is	be	AUX
fumecheng-5058	129	6	,	,	PUNCT
fumecheng-5058	129	7	what	what	DET
fumecheng-5058	129	8	meaning	meaning	NOUN
fumecheng-5058	129	9	should	should	AUX
fumecheng-5058	129	10	be	be	AUX
fumecheng-5058	129	11	attached	attach	VERB
fumecheng-5058	129	12	to	to	ADP
fumecheng-5058	129	13	?	?	PUNCT
fumecheng-5058	130	1	in	in	ADP
fumecheng-5058	130	2	view	view	NOUN
fumecheng-5058	130	3	of	of	ADP
fumecheng-5058	130	4	the	the	DET
fumecheng-5058	130	5	surprising	surprising	ADJ
fumecheng-5058	130	6	difficulty	difficulty	NOUN
fumecheng-5058	130	7	of	of	ADP
fumecheng-5058	130	8	the	the	DET
fumecheng-5058	130	9	evolution	evolution	NOUN
fumecheng-5058	130	10	of	of	ADP
fumecheng-5058	130	11	the	the	DET
fumecheng-5058	130	12	detachment	detachment	NOUN
fumecheng-5058	130	13	process	process	NOUN
fumecheng-5058	130	14	(	(	PUNCT
fumecheng-5058	130	15	see	see	VERB
fumecheng-5058	130	16	[	[	X
fumecheng-5058	130	17	35	35	NUM
fumecheng-5058	130	18	]	]	PUNCT
fumecheng-5058	130	19	)	)	PUNCT
fumecheng-5058	130	20	,	,	PUNCT
fumecheng-5058	130	21	it	it	PRON
fumecheng-5058	130	22	is	be	AUX
fumecheng-5058	130	23	suggested	suggest	VERB
fumecheng-5058	130	24	to	to	PART
fumecheng-5058	130	25	associate	associate	VERB
fumecheng-5058	130	26	with	with	ADP
fumecheng-5058	130	27	critical	critical	ADJ
fumecheng-5058	130	28	force	force	NOUN
fumecheng-5058	130	29	at	at	ADP
fumecheng-5058	130	30	which	which	PRON
fumecheng-5058	130	31	the	the	DET
fumecheng-5058	130	32	detachment	detachment	NOUN
fumecheng-5058	130	33	process	process	NOUN
fumecheng-5058	130	34	starts	start	VERB
fumecheng-5058	130	35	(	(	PUNCT
fumecheng-5058	130	36	see	see	VERB
fumecheng-5058	130	37	[	[	X
fumecheng-5058	130	38	34	34	NUM
fumecheng-5058	130	39	]	]	PUNCT
fumecheng-5058	130	40	for	for	ADP
fumecheng-5058	130	41	details	detail	NOUN
fumecheng-5058	130	42	)	)	PUNCT
fumecheng-5058	130	43	.	.	PUNCT
fumecheng-5058	131	1	observe	observe	VERB
fumecheng-5058	131	2	that	that	SCONJ
fumecheng-5058	131	3	among	among	ADP
fumecheng-5058	131	4	the	the	DET
fumecheng-5058	131	5	three	three	NUM
fumecheng-5058	131	6	upper	upper	ADJ
fumecheng-5058	131	7	estimates	estimate	NOUN
fumecheng-5058	131	8	(	(	PUNCT
fumecheng-5058	131	9	23	23	NUM
fumecheng-5058	131	10	)	)	PUNCT
fumecheng-5058	131	11	,	,	PUNCT
fumecheng-5058	131	12	(	(	PUNCT
fumecheng-5058	131	13	24	24	NUM
fumecheng-5058	131	14	)	)	PUNCT
fumecheng-5058	131	15	,	,	PUNCT
fumecheng-5058	131	16	and	and	CCONJ
fumecheng-5058	131	17	(	(	PUNCT
fumecheng-5058	131	18	27	27	NUM
fumecheng-5058	131	19	)	)	PUNCT
fumecheng-5058	131	20	,	,	PUNCT
fumecheng-5058	131	21	only	only	ADV
fumecheng-5058	131	22	the	the	DET
fumecheng-5058	131	23	second	second	ADJ
fumecheng-5058	131	24	one	one	NOUN
fumecheng-5058	131	25	is	be	AUX
fumecheng-5058	131	26	a	a	DET
fumecheng-5058	131	27	function	function	NOUN
fumecheng-5058	131	28	of	of	ADP
fumecheng-5058	131	29	solely	solely	ADV
fumecheng-5058	131	30	the	the	DET
fumecheng-5058	131	31	harmonic	harmonic	ADJ
fumecheng-5058	131	32	capacity	capacity	NOUN
fumecheng-5058	131	33	radius	radius	NOUN
fumecheng-5058	131	34	of	of	ADP
fumecheng-5058	131	35	the	the	DET
fumecheng-5058	131	36	contact	contact	NOUN
fumecheng-5058	131	37	area	area	NOUN
fumecheng-5058	131	38	.	.	PUNCT
fumecheng-5058	132	1	this	this	DET
fumecheng-5058	132	2	fact	fact	NOUN
fumecheng-5058	132	3	limits	limit	VERB
fumecheng-5058	132	4	the	the	DET
fumecheng-5058	132	5	choice	choice	NOUN
fumecheng-5058	132	6	of	of	ADP
fumecheng-5058	132	7	approximations	approximation	NOUN
fumecheng-5058	132	8	for	for	ADP
fumecheng-5058	132	9	to	to	ADP
fumecheng-5058	132	10	the	the	DET
fumecheng-5058	132	11	following	follow	VERB
fumecheng-5058	132	12	one	one	NOUN
fumecheng-5058	132	13	:	:	PUNCT
fumecheng-5058	132	14	*	*	PUNCT
fumecheng-5058	132	15	1	1	NUM
fumecheng-5058	132	16	2c	2c	NUM
fumecheng-5058	132	17	dp	dp	NOUN
fumecheng-5058	132	18	e	e	ADJ
fumecheng-5058	132	19			PROPN
fumecheng-5058	132	20			PROPN
fumecheng-5058	132	21			PROPN
fumecheng-5058	132	22	.	.	PUNCT
fumecheng-5058	133	1	(	(	PUNCT
fumecheng-5058	133	2	29	29	NUM
fumecheng-5058	133	3	)	)	PUNCT
fumecheng-5058	133	4	it	it	PRON
fumecheng-5058	133	5	is	be	AUX
fumecheng-5058	133	6	interesting	interesting	ADJ
fumecheng-5058	133	7	and	and	CCONJ
fumecheng-5058	133	8	significant	significant	ADJ
fumecheng-5058	133	9	that	that	SCONJ
fumecheng-5058	133	10	the	the	DET
fumecheng-5058	133	11	substitution	substitution	NOUN
fumecheng-5058	133	12	of	of	ADP
fumecheng-5058	133	13	eq	eq	PROPN
fumecheng-5058	133	14	.	.	PUNCT
fumecheng-5058	134	1	(	(	PUNCT
fumecheng-5058	134	2	29	29	NUM
fumecheng-5058	134	3	)	)	PUNCT
fumecheng-5058	134	4	into	into	ADP
fumecheng-5058	134	5	eq	eq	NOUN
fumecheng-5058	134	6	.	.	PUNCT
fumecheng-5058	135	1	(	(	PUNCT
fumecheng-5058	135	2	28	28	NUM
fumecheng-5058	135	3	)	)	PUNCT
fumecheng-5058	135	4	yields	yield	VERB
fumecheng-5058	135	5	kendall	kendall	PROPN
fumecheng-5058	135	6	’s	’s	PART
fumecheng-5058	135	7	formula	formula	NOUN
fumecheng-5058	135	8	,	,	PUNCT
fumecheng-5058	135	9	eq	eq	NOUN
fumecheng-5058	135	10	.	.	PUNCT
fumecheng-5058	135	11	(	(	PUNCT
fumecheng-5058	135	12	17	17	NUM
fumecheng-5058	135	13	)	)	PUNCT
fumecheng-5058	135	14	,	,	PUNCT
fumecheng-5058	135	15	in	in	ADP
fumecheng-5058	135	16	the	the	DET
fumecheng-5058	135	17	axisymmetric	axisymmetric	ADJ
fumecheng-5058	135	18	case	case	NOUN
fumecheng-5058	135	19	,	,	PUNCT
fumecheng-5058	135	20	when	when	SCONJ
fumecheng-5058	135	21	.	.	PUNCT
fumecheng-5058	136	1	5	5	X
fumecheng-5058	136	2	.	.	X
fumecheng-5058	136	3	discussion	discussion	NOUN
fumecheng-5058	136	4	and	and	CCONJ
fumecheng-5058	136	5	conclusion	conclusion	NOUN
fumecheng-5058	136	6	the	the	DET
fumecheng-5058	136	7	model	model	NOUN
fumecheng-5058	136	8	of	of	ADP
fumecheng-5058	136	9	winkler	winkler	NOUN
fumecheng-5058	136	10	’s	’s	PART
fumecheng-5058	136	11	foundation	foundation	NOUN
fumecheng-5058	136	12	is	be	AUX
fumecheng-5058	136	13	based	base	VERB
fumecheng-5058	136	14	on	on	ADP
fumecheng-5058	136	15	two	two	NUM
fumecheng-5058	136	16	concepts	concept	NOUN
fumecheng-5058	136	17	:	:	PUNCT
fumecheng-5058	136	18	linear	linear	ADJ
fumecheng-5058	136	19	deformation	deformation	NOUN
fumecheng-5058	136	20	of	of	ADP
fumecheng-5058	136	21	spring	spring	NOUN
fumecheng-5058	136	22	elements	element	NOUN
fumecheng-5058	136	23	according	accord	VERB
fumecheng-5058	136	24	to	to	ADP
fumecheng-5058	136	25	hooke	hooke	PROPN
fumecheng-5058	136	26	’s	’s	PART
fumecheng-5058	136	27	law	law	NOUN
fumecheng-5058	136	28	and	and	CCONJ
fumecheng-5058	136	29	non	non	NOUN
fumecheng-5058	136	30	-	-	NOUN
fumecheng-5058	136	31	interaction	interaction	NOUN
fumecheng-5058	136	32	between	between	ADP
fumecheng-5058	136	33	the	the	DET
fumecheng-5058	136	34	spring	spring	NOUN
fumecheng-5058	136	35	elements	element	NOUN
fumecheng-5058	136	36	.	.	PUNCT
fumecheng-5058	137	1	there	there	PRON
fumecheng-5058	137	2	are	be	VERB
fumecheng-5058	137	3	known	know	VERB
fumecheng-5058	137	4	many	many	ADJ
fumecheng-5058	137	5	generalizations	generalization	NOUN
fumecheng-5058	137	6	of	of	ADP
fumecheng-5058	137	7	the	the	DET
fumecheng-5058	137	8	winkler	winkler	NOUN
fumecheng-5058	137	9	model	model	NOUN
fumecheng-5058	137	10	[	[	X
fumecheng-5058	137	11	36	36	NUM
fumecheng-5058	137	12	]	]	PUNCT
fumecheng-5058	137	13	and	and	CCONJ
fumecheng-5058	137	14	,	,	PUNCT
fumecheng-5058	137	15	in	in	ADP
fumecheng-5058	137	16	particular	particular	ADJ
fumecheng-5058	137	17	,	,	PUNCT
fumecheng-5058	137	18	its	its	PRON
fumecheng-5058	137	19	varied	varied	ADJ
fumecheng-5058	137	20	adaptations	adaptation	NOUN
fumecheng-5058	137	21	to	to	ADP
fumecheng-5058	137	22	the	the	DET
fumecheng-5058	137	23	field	field	NOUN
fumecheng-5058	137	24	of	of	ADP
fumecheng-5058	137	25	adhesion	adhesion	NOUN
fumecheng-5058	137	26	[	[	X
fumecheng-5058	137	27	37	37	NUM
fumecheng-5058	137	28	]	]	PUNCT
fumecheng-5058	137	29	.	.	PUNCT
fumecheng-5058	138	1	it	it	PRON
fumecheng-5058	138	2	is	be	AUX
fumecheng-5058	138	3	clear	clear	ADJ
fumecheng-5058	138	4	that	that	SCONJ
fumecheng-5058	138	5	popov	popov	PROPN
fumecheng-5058	138	6	’s	’s	PART
fumecheng-5058	138	7	foundation	foundation	NOUN
fumecheng-5058	138	8	is	be	AUX
fumecheng-5058	138	9	a	a	DET
fumecheng-5058	138	10	one	one	NUM
fumecheng-5058	138	11	-	-	PUNCT
fumecheng-5058	138	12	dimensional	dimensional	ADJ
fumecheng-5058	138	13	winkler	winkler	NOUN
fumecheng-5058	138	14	foundation	foundation	NOUN
fumecheng-5058	138	15	.	.	PUNCT
fumecheng-5058	139	1	but	but	CCONJ
fumecheng-5058	139	2	it	it	PRON
fumecheng-5058	139	3	is	be	AUX
fumecheng-5058	139	4	more	more	ADJ
fumecheng-5058	139	5	than	than	ADP
fumecheng-5058	139	6	that	that	PRON
fumecheng-5058	139	7	.	.	PUNCT
fumecheng-5058	140	1	the	the	DET
fumecheng-5058	140	2	mdr	mdr	PROPN
fumecheng-5058	140	3	(	(	PUNCT
fumecheng-5058	140	4	and	and	CCONJ
fumecheng-5058	140	5	correspondingly	correspondingly	ADV
fumecheng-5058	140	6	the	the	DET
fumecheng-5058	140	7	popov	popov	PROPN
fumecheng-5058	140	8	foundation	foundation	PROPN
fumecheng-5058	140	9	)	)	PUNCT
fumecheng-5058	140	10	has	have	AUX
fumecheng-5058	140	11	been	be	AUX
fumecheng-5058	140	12	extended	extend	VERB
fumecheng-5058	140	13	to	to	PART
fumecheng-5058	140	14	cope	cope	VERB
fumecheng-5058	140	15	with	with	ADP
fumecheng-5058	140	16	tangential	tangential	ADJ
fumecheng-5058	140	17	[	[	X
fumecheng-5058	140	18	11	11	NUM
fumecheng-5058	140	19	]	]	PUNCT
fumecheng-5058	140	20	and	and	CCONJ
fumecheng-5058	140	21	torsional	torsional	ADJ
fumecheng-5058	140	22	[	[	X
fumecheng-5058	140	23	38	38	NUM
fumecheng-5058	140	24	]	]	PUNCT
fumecheng-5058	140	25	contacts	contact	NOUN
fumecheng-5058	140	26	and	and	CCONJ
fumecheng-5058	140	27	to	to	PART
fumecheng-5058	140	28	account	account	VERB
fumecheng-5058	140	29	for	for	ADP
fumecheng-5058	140	30	viscoelastic	viscoelastic	ADJ
fumecheng-5058	140	31	material	material	NOUN
fumecheng-5058	140	32	’s	’s	PART
fumecheng-5058	140	33	constitutive	constitutive	ADJ
fumecheng-5058	140	34	relationship	relationship	NOUN
fumecheng-5058	141	1	[	[	X
fumecheng-5058	141	2	39	39	NUM
fumecheng-5058	141	3	]	]	PUNCT
fumecheng-5058	141	4	as	as	ADV
fumecheng-5058	141	5	well	well	ADV
fumecheng-5058	141	6	as	as	ADP
fumecheng-5058	141	7	for	for	ADP
fumecheng-5058	141	8	material	material	NOUN
fumecheng-5058	141	9	grading	grading	NOUN
fumecheng-5058	141	10	[	[	X
fumecheng-5058	141	11	40,41	40,41	NOUN
fumecheng-5058	141	12	]	]	X
fumecheng-5058	141	13	.	.	PUNCT
fumecheng-5058	142	1	from	from	ADP
fumecheng-5058	142	2	winkler	winkler	NOUN
fumecheng-5058	142	3	's	's	PART
fumecheng-5058	142	4	foundation	foundation	NOUN
fumecheng-5058	142	5	to	to	ADP
fumecheng-5058	142	6	popov	popov	PROPN
fumecheng-5058	142	7	's	's	PART
fumecheng-5058	142	8	foundation	foundation	NOUN
fumecheng-5058	142	9	189	189	NUM
fumecheng-5058	142	10	having	having	AUX
fumecheng-5058	142	11	been	be	AUX
fumecheng-5058	142	12	stemmed	stem	VERB
fumecheng-5058	142	13	from	from	ADP
fumecheng-5058	142	14	a	a	DET
fumecheng-5058	142	15	simple	simple	ADJ
fumecheng-5058	142	16	observation	observation	NOUN
fumecheng-5058	142	17	[	[	X
fumecheng-5058	142	18	22	22	NUM
fumecheng-5058	142	19	]	]	PUNCT
fumecheng-5058	142	20	that	that	PRON
fumecheng-5058	142	21	—	—	PUNCT
fumecheng-5058	142	22	as	as	ADV
fumecheng-5058	142	23	far	far	ADV
fumecheng-5058	142	24	as	as	SCONJ
fumecheng-5058	142	25	one	one	NUM
fumecheng-5058	142	26	is	be	AUX
fumecheng-5058	142	27	interested	interested	ADJ
fumecheng-5058	142	28	in	in	ADP
fumecheng-5058	142	29	the	the	DET
fumecheng-5058	142	30	stiffness	stiffness	NOUN
fumecheng-5058	142	31	of	of	ADP
fumecheng-5058	142	32	the	the	DET
fumecheng-5058	142	33	hertzian	hertzian	ADJ
fumecheng-5058	142	34	type	type	NOUN
fumecheng-5058	142	35	contact	contact	NOUN
fumecheng-5058	142	36	—	—	PUNCT
fumecheng-5058	142	37	the	the	DET
fumecheng-5058	142	38	three	three	NUM
fumecheng-5058	142	39	-	-	PUNCT
fumecheng-5058	142	40	dimensional	dimensional	ADJ
fumecheng-5058	142	41	contact	contact	NOUN
fumecheng-5058	142	42	problem	problem	NOUN
fumecheng-5058	142	43	can	can	AUX
fumecheng-5058	142	44	be	be	AUX
fumecheng-5058	142	45	reduced	reduce	VERB
fumecheng-5058	142	46	to	to	ADP
fumecheng-5058	142	47	a	a	DET
fumecheng-5058	142	48	one	one	NUM
fumecheng-5058	142	49	-	-	PUNCT
fumecheng-5058	142	50	dimensional	dimensional	ADJ
fumecheng-5058	142	51	problem	problem	NOUN
fumecheng-5058	142	52	for	for	ADP
fumecheng-5058	142	53	a	a	DET
fumecheng-5058	142	54	winkler	winkler	NOUN
fumecheng-5058	142	55	foundation	foundation	NOUN
fumecheng-5058	142	56	,	,	PUNCT
fumecheng-5058	142	57	the	the	DET
fumecheng-5058	142	58	mdr	mdr	PROPN
fumecheng-5058	142	59	has	have	AUX
fumecheng-5058	142	60	grown	grow	VERB
fumecheng-5058	142	61	to	to	PART
fumecheng-5058	142	62	become	become	VERB
fumecheng-5058	142	63	a	a	DET
fumecheng-5058	142	64	comprehensive	comprehensive	ADJ
fumecheng-5058	142	65	methodology	methodology	NOUN
fumecheng-5058	142	66	for	for	ADP
fumecheng-5058	142	67	dealing	deal	VERB
fumecheng-5058	142	68	with	with	ADP
fumecheng-5058	142	69	a	a	DET
fumecheng-5058	142	70	wide	wide	ADJ
fumecheng-5058	142	71	class	class	NOUN
fumecheng-5058	142	72	of	of	ADP
fumecheng-5058	142	73	elastic	elastic	ADJ
fumecheng-5058	142	74	contacts	contact	NOUN
fumecheng-5058	142	75	.	.	PUNCT
fumecheng-5058	143	1	strictly	strictly	ADV
fumecheng-5058	143	2	speaking	speak	VERB
fumecheng-5058	143	3	,	,	PUNCT
fumecheng-5058	143	4	a	a	DET
fumecheng-5058	143	5	range	range	NOUN
fumecheng-5058	143	6	of	of	ADP
fumecheng-5058	143	7	elastic	elastic	ADJ
fumecheng-5058	143	8	contact	contact	NOUN
fumecheng-5058	143	9	problems	problem	NOUN
fumecheng-5058	143	10	solved	solve	VERB
fumecheng-5058	143	11	by	by	ADP
fumecheng-5058	143	12	the	the	DET
fumecheng-5058	143	13	mdr	mdr	PROPN
fumecheng-5058	143	14	is	be	AUX
fumecheng-5058	143	15	characterized	characterize	VERB
fumecheng-5058	143	16	by	by	ADP
fumecheng-5058	143	17	a	a	DET
fumecheng-5058	143	18	hierarchy	hierarchy	NOUN
fumecheng-5058	143	19	of	of	ADP
fumecheng-5058	143	20	popov	popov	PROPN
fumecheng-5058	143	21	foundations	foundation	NOUN
fumecheng-5058	143	22	,	,	PUNCT
fumecheng-5058	143	23	or	or	CCONJ
fumecheng-5058	143	24	to	to	PART
fumecheng-5058	143	25	be	be	AUX
fumecheng-5058	143	26	more	more	ADV
fumecheng-5058	143	27	precise	precise	ADJ
fumecheng-5058	143	28	,	,	PUNCT
fumecheng-5058	143	29	each	each	DET
fumecheng-5058	143	30	type	type	NOUN
fumecheng-5058	143	31	of	of	ADP
fumecheng-5058	143	32	contact	contact	NOUN
fumecheng-5058	143	33	interaction	interaction	NOUN
fumecheng-5058	143	34	,	,	PUNCT
fumecheng-5058	143	35	which	which	PRON
fumecheng-5058	143	36	is	be	AUX
fumecheng-5058	143	37	covered	cover	VERB
fumecheng-5058	143	38	by	by	ADP
fumecheng-5058	143	39	the	the	DET
fumecheng-5058	143	40	mdr	mdr	PROPN
fumecheng-5058	143	41	,	,	PUNCT
fumecheng-5058	143	42	requires	require	VERB
fumecheng-5058	143	43	its	its	PRON
fumecheng-5058	143	44	own	own	ADJ
fumecheng-5058	143	45	popov	popov	PROPN
fumecheng-5058	143	46	foundation	foundation	PROPN
fumecheng-5058	143	47	.	.	PUNCT
fumecheng-5058	144	1	since	since	SCONJ
fumecheng-5058	144	2	distinct	distinct	ADJ
fumecheng-5058	144	3	types	type	NOUN
fumecheng-5058	144	4	of	of	ADP
fumecheng-5058	144	5	contact	contact	NOUN
fumecheng-5058	144	6	can	can	AUX
fumecheng-5058	144	7	differ	differ	VERB
fumecheng-5058	144	8	by	by	ADP
fumecheng-5058	144	9	diverse	diverse	ADJ
fumecheng-5058	144	10	surface	surface	NOUN
fumecheng-5058	144	11	effects	effect	NOUN
fumecheng-5058	144	12	(	(	PUNCT
fumecheng-5058	144	13	like	like	ADP
fumecheng-5058	144	14	friction	friction	NOUN
fumecheng-5058	144	15	and	and	CCONJ
fumecheng-5058	144	16	adhesion	adhesion	NOUN
fumecheng-5058	144	17	)	)	PUNCT
fumecheng-5058	144	18	,	,	PUNCT
fumecheng-5058	144	19	one	one	PRON
fumecheng-5058	144	20	can	can	AUX
fumecheng-5058	144	21	consider	consider	VERB
fumecheng-5058	144	22	a	a	DET
fumecheng-5058	144	23	generic	generic	ADJ
fumecheng-5058	144	24	case	case	NOUN
fumecheng-5058	144	25	with	with	ADP
fumecheng-5058	144	26	a	a	DET
fumecheng-5058	144	27	combination	combination	NOUN
fumecheng-5058	144	28	of	of	ADP
fumecheng-5058	144	29	the	the	DET
fumecheng-5058	144	30	effects	effect	NOUN
fumecheng-5058	144	31	and	and	CCONJ
fumecheng-5058	144	32	forms	form	NOUN
fumecheng-5058	144	33	of	of	ADP
fumecheng-5058	144	34	loading	loading	NOUN
fumecheng-5058	144	35	.	.	PUNCT
fumecheng-5058	145	1	in	in	ADP
fumecheng-5058	145	2	the	the	DET
fumecheng-5058	145	3	mdr	mdr	PROPN
fumecheng-5058	145	4	framework	framework	NOUN
fumecheng-5058	145	5	,	,	PUNCT
fumecheng-5058	145	6	this	this	PRON
fumecheng-5058	145	7	can	can	AUX
fumecheng-5058	145	8	be	be	AUX
fumecheng-5058	145	9	done	do	VERB
fumecheng-5058	145	10	in	in	ADP
fumecheng-5058	145	11	a	a	DET
fumecheng-5058	145	12	straightforward	straightforward	ADJ
fumecheng-5058	145	13	way	way	NOUN
fumecheng-5058	145	14	,	,	PUNCT
fumecheng-5058	145	15	assuming	assume	VERB
fumecheng-5058	145	16	superposition	superposition	NOUN
fumecheng-5058	145	17	of	of	ADP
fumecheng-5058	145	18	the	the	DET
fumecheng-5058	145	19	effects	effect	NOUN
fumecheng-5058	145	20	.	.	PUNCT
fumecheng-5058	146	1	however	however	ADV
fumecheng-5058	146	2	,	,	PUNCT
fumecheng-5058	146	3	a	a	DET
fumecheng-5058	146	4	care	care	NOUN
fumecheng-5058	146	5	should	should	AUX
fumecheng-5058	146	6	be	be	AUX
fumecheng-5058	146	7	taken	take	VERB
fumecheng-5058	146	8	in	in	ADP
fumecheng-5058	146	9	this	this	DET
fumecheng-5058	146	10	regard	regard	NOUN
fumecheng-5058	146	11	since	since	SCONJ
fumecheng-5058	146	12	the	the	DET
fumecheng-5058	146	13	superposition	superposition	NOUN
fumecheng-5058	146	14	of	of	ADP
fumecheng-5058	146	15	physical	physical	ADJ
fumecheng-5058	146	16	effects	effect	NOUN
fumecheng-5058	146	17	is	be	AUX
fumecheng-5058	146	18	not	not	PART
fumecheng-5058	146	19	always	always	ADV
fumecheng-5058	146	20	valid	valid	ADJ
fumecheng-5058	146	21	.	.	PUNCT
fumecheng-5058	147	1	to	to	PART
fumecheng-5058	147	2	conclude	conclude	VERB
fumecheng-5058	147	3	,	,	PUNCT
fumecheng-5058	147	4	popov	popov	PROPN
fumecheng-5058	147	5	’s	’s	PART
fumecheng-5058	147	6	foundation	foundation	PROPN
fumecheng-5058	147	7	,	,	PUNCT
fumecheng-5058	147	8	which	which	PRON
fumecheng-5058	147	9	serves	serve	VERB
fumecheng-5058	147	10	as	as	ADP
fumecheng-5058	147	11	the	the	DET
fumecheng-5058	147	12	basis	basis	NOUN
fumecheng-5058	147	13	for	for	ADP
fumecheng-5058	147	14	the	the	DET
fumecheng-5058	147	15	mdr	mdr	PROPN
fumecheng-5058	147	16	,	,	PUNCT
fumecheng-5058	147	17	represents	represent	VERB
fumecheng-5058	147	18	a	a	DET
fumecheng-5058	147	19	major	major	ADJ
fumecheng-5058	147	20	advance	advance	NOUN
fumecheng-5058	147	21	in	in	ADP
fumecheng-5058	147	22	developing	develop	VERB
fumecheng-5058	147	23	a	a	DET
fumecheng-5058	147	24	unified	unified	ADJ
fumecheng-5058	147	25	approach	approach	NOUN
fumecheng-5058	147	26	to	to	ADP
fumecheng-5058	147	27	effective	effective	ADJ
fumecheng-5058	147	28	dealing	deal	VERB
fumecheng-5058	147	29	with	with	ADP
fumecheng-5058	147	30	elastic	elastic	ADJ
fumecheng-5058	147	31	contacts	contact	NOUN
fumecheng-5058	147	32	.	.	PUNCT
fumecheng-5058	148	1	references	reference	NOUN
fumecheng-5058	148	2	1	1	NUM
fumecheng-5058	148	3	.	.	PUNCT
fumecheng-5058	149	1	johnson	johnson	PROPN
fumecheng-5058	149	2	,	,	PUNCT
fumecheng-5058	149	3	k.l	k.l	PROPN
fumecheng-5058	149	4	.	.	PROPN
fumecheng-5058	149	5	,	,	PUNCT
fumecheng-5058	149	6	1985	1985	NUM
fumecheng-5058	149	7	,	,	PUNCT
fumecheng-5058	149	8	contact	contact	NOUN
fumecheng-5058	149	9	mechanics	mechanic	NOUN
fumecheng-5058	149	10	,	,	PUNCT
fumecheng-5058	149	11	cambridge	cambridge	PROPN
fumecheng-5058	149	12	university	university	PROPN
fumecheng-5058	149	13	press	press	PROPN
fumecheng-5058	149	14	,	,	PUNCT
fumecheng-5058	149	15	cambridge	cambridge	PROPN
fumecheng-5058	149	16	.	.	PROPN
fumecheng-5058	150	1	2	2	X
fumecheng-5058	150	2	.	.	X
fumecheng-5058	150	3	popov	popov	PROPN
fumecheng-5058	150	4	,	,	PUNCT
fumecheng-5058	150	5	v.l	v.l	PROPN
fumecheng-5058	150	6	.	.	PROPN
fumecheng-5058	150	7	,	,	PUNCT
fumecheng-5058	150	8	2010	2010	NUM
fumecheng-5058	150	9	,	,	PUNCT
fumecheng-5058	150	10	contact	contact	NOUN
fumecheng-5058	150	11	mechanics	mechanic	NOUN
fumecheng-5058	150	12	and	and	CCONJ
fumecheng-5058	150	13	friction	friction	NOUN
fumecheng-5058	150	14	:	:	PUNCT
fumecheng-5058	150	15	physical	physical	ADJ
fumecheng-5058	150	16	principles	principle	NOUN
fumecheng-5058	150	17	and	and	CCONJ
fumecheng-5058	150	18	applications	application	NOUN
fumecheng-5058	150	19	,	,	PUNCT
fumecheng-5058	150	20	springer	springer	NOUN
fumecheng-5058	150	21	,	,	PUNCT
fumecheng-5058	150	22	heidelberg	heidelberg	PROPN
fumecheng-5058	150	23	,	,	PUNCT
fumecheng-5058	150	24	new	new	PROPN
fumecheng-5058	150	25	york	york	PROPN
fumecheng-5058	150	26	.	.	PUNCT
fumecheng-5058	151	1	3	3	X
fumecheng-5058	151	2	.	.	X
fumecheng-5058	151	3	kalker	kalker	PROPN
fumecheng-5058	151	4	,	,	PUNCT
fumecheng-5058	151	5	j.j	j.j	PROPN
fumecheng-5058	151	6	.	.	PROPN
fumecheng-5058	151	7	,	,	PUNCT
fumecheng-5058	151	8	1990	1990	NUM
fumecheng-5058	151	9	,	,	PUNCT
fumecheng-5058	151	10	three	three	NUM
fumecheng-5058	151	11	-	-	PUNCT
fumecheng-5058	151	12	dimensional	dimensional	ADJ
fumecheng-5058	151	13	elastic	elastic	ADJ
fumecheng-5058	151	14	bodies	body	NOUN
fumecheng-5058	151	15	in	in	ADP
fumecheng-5058	151	16	rolling	rolling	ADJ
fumecheng-5058	151	17	contact	contact	NOUN
fumecheng-5058	151	18	,	,	PUNCT
fumecheng-5058	151	19	kluwer	kluwer	PROPN
fumecheng-5058	151	20	academic	academic	ADJ
fumecheng-5058	151	21	publications	publication	NOUN
fumecheng-5058	151	22	,	,	PUNCT
fumecheng-5058	151	23	dordrecht	dordrecht	PROPN
fumecheng-5058	151	24	.	.	PUNCT
fumecheng-5058	152	1	4	4	X
fumecheng-5058	152	2	.	.	X
fumecheng-5058	152	3	goryacheva	goryacheva	PROPN
fumecheng-5058	152	4	,	,	PUNCT
fumecheng-5058	152	5	i.g	i.g	PROPN
fumecheng-5058	152	6	.	.	PROPN
fumecheng-5058	152	7	,	,	PUNCT
fumecheng-5058	152	8	1998	1998	NUM
fumecheng-5058	152	9	,	,	PUNCT
fumecheng-5058	152	10	contact	contact	NOUN
fumecheng-5058	152	11	mechanics	mechanic	NOUN
fumecheng-5058	152	12	in	in	ADP
fumecheng-5058	152	13	tribology	tribology	PROPN
fumecheng-5058	152	14	,	,	PUNCT
fumecheng-5058	152	15	kluwer	kluwer	NOUN
fumecheng-5058	152	16	academic	academic	ADJ
fumecheng-5058	152	17	publishers	publisher	NOUN
fumecheng-5058	152	18	,	,	PUNCT
fumecheng-5058	152	19	dordrecht	dordrecht	PROPN
fumecheng-5058	152	20	.	.	PUNCT
fumecheng-5058	153	1	5	5	NUM
fumecheng-5058	153	2	.	.	X
fumecheng-5058	153	3	argatov	argatov	PROPN
fumecheng-5058	153	4	,	,	PUNCT
fumecheng-5058	153	5	i.	i.	PROPN
fumecheng-5058	153	6	,	,	PUNCT
fumecheng-5058	153	7	mishuris	mishuris	NOUN
fumecheng-5058	153	8	,	,	PUNCT
fumecheng-5058	153	9	g.	g.	PROPN
fumecheng-5058	153	10	,	,	PUNCT
fumecheng-5058	153	11	2015	2015	NUM
fumecheng-5058	153	12	,	,	PUNCT
fumecheng-5058	153	13	contact	contact	NOUN
fumecheng-5058	153	14	mechanics	mechanic	NOUN
fumecheng-5058	153	15	of	of	ADP
fumecheng-5058	153	16	articular	articular	ADJ
fumecheng-5058	153	17	cartilage	cartilage	NOUN
fumecheng-5058	153	18	layers	layer	NOUN
fumecheng-5058	153	19	:	:	PUNCT
fumecheng-5058	153	20	asymptotic	asymptotic	ADJ
fumecheng-5058	153	21	models	model	NOUN
fumecheng-5058	153	22	,	,	PUNCT
fumecheng-5058	153	23	springer	springer	NOUN
fumecheng-5058	153	24	,	,	PUNCT
fumecheng-5058	153	25	cham	cham	NOUN
fumecheng-5058	153	26	.	.	PUNCT
fumecheng-5058	154	1	6	6	X
fumecheng-5058	154	2	.	.	X
fumecheng-5058	155	1	wriggers	wrigger	NOUN
fumecheng-5058	155	2	,	,	PUNCT
fumecheng-5058	155	3	p.	p.	NOUN
fumecheng-5058	155	4	,	,	PUNCT
fumecheng-5058	155	5	2006	2006	NUM
fumecheng-5058	155	6	,	,	PUNCT
fumecheng-5058	155	7	computational	computational	ADJ
fumecheng-5058	155	8	contact	contact	NOUN
fumecheng-5058	155	9	mechanics	mechanic	NOUN
fumecheng-5058	155	10	,	,	PUNCT
fumecheng-5058	155	11	springer	springer	NOUN
fumecheng-5058	155	12	,	,	PUNCT
fumecheng-5058	155	13	berlin	berlin	PROPN
fumecheng-5058	155	14	.	.	PUNCT
fumecheng-5058	156	1	7	7	X
fumecheng-5058	156	2	.	.	NUM
fumecheng-5058	156	3	yastrebov	yastrebov	PROPN
fumecheng-5058	156	4	,	,	PUNCT
fumecheng-5058	156	5	v.a	v.a	PROPN
fumecheng-5058	156	6	.	.	PROPN
fumecheng-5058	156	7	,	,	PUNCT
fumecheng-5058	156	8	2013	2013	NUM
fumecheng-5058	156	9	,	,	PUNCT
fumecheng-5058	156	10	numerical	numerical	ADJ
fumecheng-5058	156	11	methods	method	NOUN
fumecheng-5058	156	12	in	in	ADP
fumecheng-5058	156	13	contact	contact	NOUN
fumecheng-5058	156	14	mechanics	mechanic	NOUN
fumecheng-5058	156	15	,	,	PUNCT
fumecheng-5058	156	16	john	john	PROPN
fumecheng-5058	156	17	wiley	wiley	PROPN
fumecheng-5058	156	18	&	&	CCONJ
fumecheng-5058	156	19	sons	sons	PROPN
fumecheng-5058	156	20	,	,	PUNCT
fumecheng-5058	156	21	hoboken	hoboken	PROPN
fumecheng-5058	156	22	.	.	PROPN
fumecheng-5058	157	1	8	8	NUM
fumecheng-5058	157	2	.	.	PUNCT
fumecheng-5058	158	1	barber	barber	PROPN
fumecheng-5058	158	2	,	,	PUNCT
fumecheng-5058	158	3	j.r	j.r	PROPN
fumecheng-5058	158	4	.	.	PROPN
fumecheng-5058	158	5	,	,	PUNCT
fumecheng-5058	158	6	2018	2018	NUM
fumecheng-5058	158	7	,	,	PUNCT
fumecheng-5058	158	8	contact	contact	NOUN
fumecheng-5058	158	9	mechanics	mechanic	NOUN
fumecheng-5058	158	10	,	,	PUNCT
fumecheng-5058	158	11	springer	springer	NOUN
fumecheng-5058	158	12	,	,	PUNCT
fumecheng-5058	158	13	cham	cham	NOUN
fumecheng-5058	158	14	.	.	PUNCT
fumecheng-5058	159	1	9	9	X
fumecheng-5058	159	2	.	.	X
fumecheng-5058	159	3	argatov	argatov	PROPN
fumecheng-5058	159	4	,	,	PUNCT
fumecheng-5058	159	5	i.	i.	PROPN
fumecheng-5058	159	6	,	,	PUNCT
fumecheng-5058	159	7	mishuris	mishuris	NOUN
fumecheng-5058	159	8	,	,	PUNCT
fumecheng-5058	159	9	g.	g.	PROPN
fumecheng-5058	159	10	,	,	PUNCT
fumecheng-5058	159	11	2018	2018	NUM
fumecheng-5058	159	12	,	,	PUNCT
fumecheng-5058	159	13	indentation	indentation	NOUN
fumecheng-5058	159	14	testing	testing	NOUN
fumecheng-5058	159	15	of	of	ADP
fumecheng-5058	159	16	biological	biological	ADJ
fumecheng-5058	159	17	materials	material	NOUN
fumecheng-5058	159	18	,	,	PUNCT
fumecheng-5058	159	19	cham	cham	NOUN
fumecheng-5058	159	20	,	,	PUNCT
fumecheng-5058	159	21	springer	springer	NOUN
fumecheng-5058	159	22	.	.	PUNCT
fumecheng-5058	160	1	10	10	NUM
fumecheng-5058	160	2	.	.	PUNCT
fumecheng-5058	160	3	hertz	hertz	NOUN
fumecheng-5058	160	4	,	,	PUNCT
fumecheng-5058	160	5	h.	h.	PROPN
fumecheng-5058	160	6	,	,	PUNCT
fumecheng-5058	160	7	1882	1882	NUM
fumecheng-5058	160	8	,	,	PUNCT
fumecheng-5058	160	9	über	über	PROPN
fumecheng-5058	160	10	die	die	PROPN
fumecheng-5058	160	11	berührung	berührung	PROPN
fumecheng-5058	160	12	fester	fester	PROPN
fumecheng-5058	160	13	elastischer	elastischer	ADJ
fumecheng-5058	160	14	körper	körper	NOUN
fumecheng-5058	160	15	,	,	PUNCT
fumecheng-5058	160	16	journal	journal	NOUN
fumecheng-5058	160	17	für	für	PROPN
fumecheng-5058	160	18	die	die	VERB
fumecheng-5058	160	19	reine	reine	PROPN
fumecheng-5058	160	20	und	und	PROPN
fumecheng-5058	160	21	angewandte	angewandte	PROPN
fumecheng-5058	160	22	mathematik	mathematik	PROPN
fumecheng-5058	160	23	,	,	PUNCT
fumecheng-5058	160	24	92	92	NUM
fumecheng-5058	160	25	,	,	PUNCT
fumecheng-5058	160	26	pp	pp	ADJ
fumecheng-5058	160	27	.	.	PUNCT
fumecheng-5058	161	1	156–171	156–171	NUM
fumecheng-5058	161	2	(	(	PUNCT
fumecheng-5058	161	3	in	in	ADP
fumecheng-5058	161	4	german	german	ADJ
fumecheng-5058	161	5	)	)	PUNCT
fumecheng-5058	161	6	.	.	PUNCT
fumecheng-5058	162	1	11	11	NUM
fumecheng-5058	162	2	.	.	X
fumecheng-5058	163	1	popov	popov	PROPN
fumecheng-5058	163	2	,	,	PUNCT
fumecheng-5058	163	3	v.l	v.l	PROPN
fumecheng-5058	163	4	.	.	PROPN
fumecheng-5058	163	5	,	,	PUNCT
fumecheng-5058	163	6	heß	heß	PROPN
fumecheng-5058	163	7	,	,	PUNCT
fumecheng-5058	163	8	m.	m.	NOUN
fumecheng-5058	163	9	,	,	PUNCT
fumecheng-5058	163	10	2014	2014	NUM
fumecheng-5058	163	11	,	,	PUNCT
fumecheng-5058	163	12	method	method	NOUN
fumecheng-5058	163	13	of	of	ADP
fumecheng-5058	163	14	dimensionality	dimensionality	NOUN
fumecheng-5058	163	15	reduction	reduction	NOUN
fumecheng-5058	163	16	in	in	ADP
fumecheng-5058	163	17	contact	contact	NOUN
fumecheng-5058	163	18	mechanics	mechanic	NOUN
fumecheng-5058	163	19	and	and	CCONJ
fumecheng-5058	163	20	friction	friction	NOUN
fumecheng-5058	163	21	,	,	PUNCT
fumecheng-5058	163	22	springer	springer	NOUN
fumecheng-5058	163	23	,	,	PUNCT
fumecheng-5058	163	24	berlin	berlin	PROPN
fumecheng-5058	163	25	.	.	PUNCT
fumecheng-5058	164	1	12	12	NUM
fumecheng-5058	164	2	.	.	PUNCT
fumecheng-5058	165	1	argatov	argatov	PROPN
fumecheng-5058	165	2	,	,	PUNCT
fumecheng-5058	165	3	i.	i.	NOUN
fumecheng-5058	165	4	,	,	PUNCT
fumecheng-5058	165	5	2016	2016	NUM
fumecheng-5058	165	6	,	,	PUNCT
fumecheng-5058	165	7	a	a	DET
fumecheng-5058	165	8	discussion	discussion	NOUN
fumecheng-5058	165	9	of	of	ADP
fumecheng-5058	165	10	the	the	DET
fumecheng-5058	165	11	method	method	NOUN
fumecheng-5058	165	12	of	of	ADP
fumecheng-5058	165	13	dimensionality	dimensionality	NOUN
fumecheng-5058	165	14	reduction	reduction	NOUN
fumecheng-5058	165	15	,	,	PUNCT
fumecheng-5058	165	16	proceedings	proceeding	NOUN
fumecheng-5058	165	17	of	of	ADP
fumecheng-5058	165	18	the	the	DET
fumecheng-5058	165	19	institution	institution	NOUN
fumecheng-5058	165	20	of	of	ADP
fumecheng-5058	165	21	mechanical	mechanical	ADJ
fumecheng-5058	165	22	engineers	engineer	NOUN
fumecheng-5058	165	23	,	,	PUNCT
fumecheng-5058	165	24	pt	pt	X
fumecheng-5058	165	25	.	.	PROPN
fumecheng-5058	165	26	c	c	NOUN
fumecheng-5058	165	27	:	:	PUNCT
fumecheng-5058	165	28	journal	journal	NOUN
fumecheng-5058	165	29	of	of	ADP
fumecheng-5058	165	30	mechanical	mechanical	ADJ
fumecheng-5058	165	31	engineering	engineering	NOUN
fumecheng-5058	165	32	science	science	NOUN
fumecheng-5058	165	33	230(9	230(9	NUM
fumecheng-5058	165	34	)	)	PUNCT
fumecheng-5058	165	35	,	,	PUNCT
fumecheng-5058	165	36	pp	pp	ADP
fumecheng-5058	165	37	.	.	PUNCT
fumecheng-5058	166	1	1424–1431	1424–1431	NUM
fumecheng-5058	166	2	.	.	PUNCT
fumecheng-5058	167	1	13	13	NUM
fumecheng-5058	167	2	.	.	X
fumecheng-5058	168	1	johnson	johnson	PROPN
fumecheng-5058	168	2	,	,	PUNCT
fumecheng-5058	168	3	k.l	k.l	PROPN
fumecheng-5058	168	4	.	.	PROPN
fumecheng-5058	168	5	,	,	PUNCT
fumecheng-5058	168	6	kendall	kendall	PROPN
fumecheng-5058	168	7	,	,	PUNCT
fumecheng-5058	168	8	k.	k.	PROPN
fumecheng-5058	168	9	,	,	PUNCT
fumecheng-5058	168	10	roberts	roberts	PROPN
fumecheng-5058	168	11	,	,	PUNCT
fumecheng-5058	168	12	a.d	a.d	PROPN
fumecheng-5058	168	13	.	.	PROPN
fumecheng-5058	168	14	,	,	PUNCT
fumecheng-5058	168	15	1971	1971	NUM
fumecheng-5058	168	16	,	,	PUNCT
fumecheng-5058	168	17	surface	surface	NOUN
fumecheng-5058	168	18	energy	energy	NOUN
fumecheng-5058	168	19	and	and	CCONJ
fumecheng-5058	168	20	the	the	DET
fumecheng-5058	168	21	contact	contact	NOUN
fumecheng-5058	168	22	of	of	ADP
fumecheng-5058	168	23	elastic	elastic	ADJ
fumecheng-5058	168	24	solids	solid	NOUN
fumecheng-5058	168	25	,	,	PUNCT
fumecheng-5058	168	26	proceedings	proceeding	NOUN
fumecheng-5058	168	27	of	of	ADP
fumecheng-5058	168	28	the	the	DET
fumecheng-5058	168	29	royal	royal	ADJ
fumecheng-5058	168	30	society	society	NOUN
fumecheng-5058	168	31	a	a	PRON
fumecheng-5058	168	32	,	,	PUNCT
fumecheng-5058	168	33	324	324	NUM
fumecheng-5058	168	34	,	,	PUNCT
fumecheng-5058	168	35	pp	pp	ADV
fumecheng-5058	168	36	.	.	PUNCT
fumecheng-5058	169	1	301–313	301–313	NUM
fumecheng-5058	169	2	.	.	PUNCT
fumecheng-5058	170	1	14	14	NUM
fumecheng-5058	170	2	.	.	PUNCT
fumecheng-5058	171	1	frýba	frýba	PROPN
fumecheng-5058	171	2	,	,	PUNCT
fumecheng-5058	171	3	l.	l.	PROPN
fumecheng-5058	171	4	,	,	PUNCT
fumecheng-5058	171	5	1995	1995	NUM
fumecheng-5058	171	6	,	,	PUNCT
fumecheng-5058	171	7	history	history	NOUN
fumecheng-5058	171	8	of	of	ADP
fumecheng-5058	171	9	winkler	winkler	PROPN
fumecheng-5058	171	10	foundation	foundation	PROPN
fumecheng-5058	171	11	,	,	PUNCT
fumecheng-5058	171	12	vehicle	vehicle	NOUN
fumecheng-5058	171	13	system	system	NOUN
fumecheng-5058	171	14	dynamics	dynamic	NOUN
fumecheng-5058	171	15	supplement	supplement	VERB
fumecheng-5058	171	16	24	24	NUM
fumecheng-5058	171	17	,	,	PUNCT
fumecheng-5058	171	18	pp	pp	ADJ
fumecheng-5058	171	19	.	.	PUNCT
fumecheng-5058	172	1	7–12	7–12	PROPN
fumecheng-5058	172	2	.	.	PUNCT
fumecheng-5058	173	1	15	15	NUM
fumecheng-5058	173	2	.	.	PUNCT
fumecheng-5058	174	1	argatov	argatov	PROPN
fumecheng-5058	174	2	,	,	PUNCT
fumecheng-5058	174	3	i.	i.	PROPN
fumecheng-5058	174	4	,	,	PUNCT
fumecheng-5058	174	5	hess	hess	PROPN
fumecheng-5058	174	6	,	,	PUNCT
fumecheng-5058	174	7	m.	m.	NOUN
fumecheng-5058	174	8	,	,	PUNCT
fumecheng-5058	174	9	pohrt	pohrt	PROPN
fumecheng-5058	174	10	,	,	PUNCT
fumecheng-5058	174	11	r.	r.	PROPN
fumecheng-5058	174	12	,	,	PUNCT
fumecheng-5058	174	13	popov	popov	PROPN
fumecheng-5058	174	14	,	,	PUNCT
fumecheng-5058	174	15	v.l	v.l	PROPN
fumecheng-5058	174	16	.	.	PROPN
fumecheng-5058	174	17	,	,	PUNCT
fumecheng-5058	174	18	2016	2016	NUM
fumecheng-5058	174	19	,	,	PUNCT
fumecheng-5058	174	20	the	the	DET
fumecheng-5058	174	21	extension	extension	NOUN
fumecheng-5058	174	22	of	of	ADP
fumecheng-5058	174	23	the	the	DET
fumecheng-5058	174	24	method	method	NOUN
fumecheng-5058	174	25	of	of	ADP
fumecheng-5058	174	26	dimensionality	dimensionality	NOUN
fumecheng-5058	174	27	reduction	reduction	NOUN
fumecheng-5058	174	28	to	to	ADP
fumecheng-5058	174	29	non‐	non‐	ADV
fumecheng-5058	174	30	compact	compact	ADJ
fumecheng-5058	174	31	and	and	CCONJ
fumecheng-5058	174	32	non‐	non‐	ADV
fumecheng-5058	174	33	axisymmetric	axisymmetric	ADJ
fumecheng-5058	174	34	contacts	contact	NOUN
fumecheng-5058	174	35	,	,	PUNCT
fumecheng-5058	174	36	journal	journal	NOUN
fumecheng-5058	174	37	of	of	ADP
fumecheng-5058	174	38	applied	apply	VERB
fumecheng-5058	174	39	mathematics	mathematic	NOUN
fumecheng-5058	174	40	and	and	CCONJ
fumecheng-5058	174	41	mechanics	mechanic	NOUN
fumecheng-5058	174	42	(	(	PUNCT
fumecheng-5058	174	43	zamm	zamm	PROPN
fumecheng-5058	174	44	)	)	PUNCT
fumecheng-5058	174	45	,	,	PUNCT
fumecheng-5058	174	46	96(10	96(10	NUM
fumecheng-5058	174	47	)	)	PUNCT
fumecheng-5058	174	48	,	,	PUNCT
fumecheng-5058	174	49	pp	pp	ADP
fumecheng-5058	174	50	.	.	PUNCT
fumecheng-5058	175	1	1144–1155	1144–1155	NUM
fumecheng-5058	175	2	.	.	PUNCT
fumecheng-5058	176	1	16	16	NUM
fumecheng-5058	176	2	.	.	PUNCT
fumecheng-5058	177	1	fabrikant	fabrikant	PROPN
fumecheng-5058	177	2	,	,	PUNCT
fumecheng-5058	177	3	v.i	v.i	PROPN
fumecheng-5058	177	4	.	.	PROPN
fumecheng-5058	177	5	,	,	PUNCT
fumecheng-5058	177	6	1986	1986	NUM
fumecheng-5058	177	7	,	,	PUNCT
fumecheng-5058	177	8	flat	flat	ADJ
fumecheng-5058	177	9	punch	punch	NOUN
fumecheng-5058	177	10	of	of	ADP
fumecheng-5058	177	11	arbitrary	arbitrary	ADJ
fumecheng-5058	177	12	shape	shape	NOUN
fumecheng-5058	177	13	on	on	ADP
fumecheng-5058	177	14	an	an	DET
fumecheng-5058	177	15	elastic	elastic	ADJ
fumecheng-5058	177	16	half	half	ADJ
fumecheng-5058	177	17	-	-	PUNCT
fumecheng-5058	177	18	space	space	NOUN
fumecheng-5058	177	19	,	,	PUNCT
fumecheng-5058	177	20	international	international	ADJ
fumecheng-5058	177	21	journal	journal	NOUN
fumecheng-5058	177	22	of	of	ADP
fumecheng-5058	177	23	engineering	engineering	NOUN
fumecheng-5058	177	24	science	science	NOUN
fumecheng-5058	177	25	24	24	NUM
fumecheng-5058	177	26	,	,	PUNCT
fumecheng-5058	177	27	1731–1740	1731–1740	NUM
fumecheng-5058	177	28	.	.	PUNCT
fumecheng-5058	178	1	17	17	NUM
fumecheng-5058	178	2	.	.	PUNCT
fumecheng-5058	179	1	galin	galin	PROPN
fumecheng-5058	179	2	,	,	PUNCT
fumecheng-5058	179	3	l.a	l.a	PROPN
fumecheng-5058	179	4	.	.	PROPN
fumecheng-5058	179	5	,	,	PUNCT
fumecheng-5058	179	6	2008	2008	NUM
fumecheng-5058	179	7	,	,	PUNCT
fumecheng-5058	179	8	contact	contact	NOUN
fumecheng-5058	179	9	problems	problem	NOUN
fumecheng-5058	179	10	:	:	PUNCT
fumecheng-5058	179	11	the	the	DET
fumecheng-5058	179	12	legacy	legacy	NOUN
fumecheng-5058	179	13	of	of	ADP
fumecheng-5058	179	14	l.a	l.a	PROPN
fumecheng-5058	179	15	.	.	PROPN
fumecheng-5058	179	16	galin	galin	PROPN
fumecheng-5058	179	17	.	.	PUNCT
fumecheng-5058	179	18	,	,	PUNCT
fumecheng-5058	179	19	in	in	ADP
fumecheng-5058	179	20	:	:	PUNCT
fumecheng-5058	179	21	gladwell	gladwell	PROPN
fumecheng-5058	179	22	,	,	PUNCT
fumecheng-5058	179	23	g.m.l	g.m.l	NOUN
fumecheng-5058	179	24	.	.	PUNCT
fumecheng-5058	180	1	(	(	PUNCT
fumecheng-5058	180	2	ed	ed	NOUN
fumecheng-5058	180	3	.	.	PUNCT
fumecheng-5058	180	4	)	)	PUNCT
fumecheng-5058	180	5	.	.	PUNCT
fumecheng-5058	181	1	springer	springer	NOUN
fumecheng-5058	181	2	,	,	PUNCT
fumecheng-5058	181	3	dordrecht	dordrecht	PROPN
fumecheng-5058	181	4	.	.	PUNCT
fumecheng-5058	182	1	18	18	NUM
fumecheng-5058	182	2	.	.	PUNCT
fumecheng-5058	183	1	sevostianov	sevostianov	PROPN
fumecheng-5058	183	2	,	,	PUNCT
fumecheng-5058	183	3	i.	i.	NOUN
fumecheng-5058	183	4	,	,	PUNCT
fumecheng-5058	183	5	kachanov	kachanov	NOUN
fumecheng-5058	183	6	,	,	PUNCT
fumecheng-5058	183	7	m.	m.	NOUN
fumecheng-5058	183	8	,	,	PUNCT
fumecheng-5058	183	9	2004	2004	NUM
fumecheng-5058	183	10	,	,	PUNCT
fumecheng-5058	183	11	connection	connection	NOUN
fumecheng-5058	183	12	between	between	ADP
fumecheng-5058	183	13	elastic	elastic	ADJ
fumecheng-5058	183	14	and	and	CCONJ
fumecheng-5058	183	15	conductive	conductive	ADJ
fumecheng-5058	183	16	properties	property	NOUN
fumecheng-5058	183	17	of	of	ADP
fumecheng-5058	183	18	microstructures	microstructure	NOUN
fumecheng-5058	183	19	with	with	ADP
fumecheng-5058	183	20	hertzian	hertzian	ADJ
fumecheng-5058	183	21	contacts	contact	NOUN
fumecheng-5058	183	22	,	,	PUNCT
fumecheng-5058	183	23	proceedings	proceeding	NOUN
fumecheng-5058	183	24	of	of	ADP
fumecheng-5058	183	25	the	the	DET
fumecheng-5058	183	26	royal	royal	ADJ
fumecheng-5058	183	27	society	society	NOUN
fumecheng-5058	183	28	a	a	DET
fumecheng-5058	183	29	460	460	NUM
fumecheng-5058	183	30	,	,	PUNCT
fumecheng-5058	183	31	pp	pp	ADJ
fumecheng-5058	183	32	.	.	PUNCT
fumecheng-5058	184	1	1529–1534	1529–1534	NUM
fumecheng-5058	184	2	.	.	PUNCT
fumecheng-5058	185	1	19	19	NUM
fumecheng-5058	185	2	.	.	PUNCT
fumecheng-5058	186	1	holm	holm	PROPN
fumecheng-5058	186	2	,	,	PUNCT
fumecheng-5058	186	3	r.	r.	PROPN
fumecheng-5058	186	4	,	,	PUNCT
fumecheng-5058	186	5	1929	1929	NUM
fumecheng-5058	186	6	,	,	PUNCT
fumecheng-5058	186	7	uber	uber	ADJ
fumecheng-5058	186	8	metallische	metallische	NOUN
fumecheng-5058	186	9	kontaktwiderstände	kontaktwiderstände	NOUN
fumecheng-5058	186	10	,	,	PUNCT
fumecheng-5058	186	11	wissenschaftliche	wissenschaftliche	PROPN
fumecheng-5058	186	12	veröffentlichungen	veröffentlichungen	PROPN
fumecheng-5058	186	13	aus	aus	PROPN
fumecheng-5058	186	14	den	den	PROPN
fumecheng-5058	186	15	siemens	siemens	PROPN
fumecheng-5058	186	16	-	-	PUNCT
fumecheng-5058	186	17	werken	werken	VERB
fumecheng-5058	186	18	,	,	PUNCT
fumecheng-5058	186	19	7	7	NUM
fumecheng-5058	186	20	,	,	PUNCT
fumecheng-5058	186	21	pp	pp	ADJ
fumecheng-5058	186	22	.	.	PUNCT
fumecheng-5058	187	1	217–258	217–258	NUM
fumecheng-5058	187	2	(	(	PUNCT
fumecheng-5058	187	3	in	in	ADP
fumecheng-5058	187	4	german	german	NOUN
fumecheng-5058	187	5	)	)	PUNCT
fumecheng-5058	187	6	.	.	PUNCT
fumecheng-5058	188	1	20	20	NUM
fumecheng-5058	188	2	.	.	X
fumecheng-5058	189	1	greenwood	greenwood	PROPN
fumecheng-5058	189	2	,	,	PUNCT
fumecheng-5058	189	3	j.a	j.a	PROPN
fumecheng-5058	189	4	.	.	PROPN
fumecheng-5058	189	5	,	,	PUNCT
fumecheng-5058	189	6	1966	1966	NUM
fumecheng-5058	189	7	,	,	PUNCT
fumecheng-5058	189	8	constriction	constriction	NOUN
fumecheng-5058	189	9	resistance	resistance	NOUN
fumecheng-5058	189	10	and	and	CCONJ
fumecheng-5058	189	11	the	the	DET
fumecheng-5058	189	12	real	real	ADJ
fumecheng-5058	189	13	area	area	NOUN
fumecheng-5058	189	14	of	of	ADP
fumecheng-5058	189	15	contact	contact	NOUN
fumecheng-5058	189	16	,	,	PUNCT
fumecheng-5058	189	17	british	british	ADJ
fumecheng-5058	189	18	journal	journal	PROPN
fumecheng-5058	189	19	of	of	ADP
fumecheng-5058	189	20	applied	applied	ADJ
fumecheng-5058	189	21	physics	physic	NOUN
fumecheng-5058	189	22	,	,	PUNCT
fumecheng-5058	189	23	17	17	NUM
fumecheng-5058	189	24	,	,	PUNCT
fumecheng-5058	189	25	pp	pp	ADJ
fumecheng-5058	189	26	.	.	PUNCT
fumecheng-5058	190	1	1621–1622	1621–1622	NUM
fumecheng-5058	190	2	.	.	PUNCT
fumecheng-5058	191	1	21	21	NUM
fumecheng-5058	191	2	.	.	X
fumecheng-5058	192	1	argatov	argatov	PROPN
fumecheng-5058	192	2	,	,	PUNCT
fumecheng-5058	192	3	i.	i.	NOUN
fumecheng-5058	192	4	,	,	PUNCT
fumecheng-5058	192	5	sevostianov	sevostianov	PROPN
fumecheng-5058	192	6	,	,	PUNCT
fumecheng-5058	192	7	i.	i.	NOUN
fumecheng-5058	192	8	,	,	PUNCT
fumecheng-5058	192	9	2009	2009	NUM
fumecheng-5058	192	10	,	,	PUNCT
fumecheng-5058	192	11	on	on	ADP
fumecheng-5058	192	12	relations	relation	NOUN
fumecheng-5058	192	13	between	between	ADP
fumecheng-5058	192	14	geometries	geometry	NOUN
fumecheng-5058	192	15	of	of	ADP
fumecheng-5058	192	16	microcontact	microcontact	NOUN
fumecheng-5058	192	17	clusters	cluster	NOUN
fumecheng-5058	192	18	and	and	CCONJ
fumecheng-5058	192	19	their	their	PRON
fumecheng-5058	192	20	overall	overall	ADJ
fumecheng-5058	192	21	properties	property	NOUN
fumecheng-5058	192	22	,	,	PUNCT
fumecheng-5058	192	23	international	international	ADJ
fumecheng-5058	192	24	journal	journal	NOUN
fumecheng-5058	192	25	of	of	ADP
fumecheng-5058	192	26	engineering	engineering	NOUN
fumecheng-5058	192	27	science	science	NOUN
fumecheng-5058	192	28	,	,	PUNCT
fumecheng-5058	192	29	47	47	NUM
fumecheng-5058	192	30	,	,	PUNCT
fumecheng-5058	192	31	pp	pp	ADJ
fumecheng-5058	192	32	.	.	PUNCT
fumecheng-5058	193	1	959–973	959–973	NUM
fumecheng-5058	193	2	.	.	PUNCT
fumecheng-5058	194	1	190	190	NUM
fumecheng-5058	194	2	i.	i.	NOUN
fumecheng-5058	194	3	argatov	argatov	PROPN
fumecheng-5058	194	4	22	22	NUM
fumecheng-5058	194	5	.	.	PUNCT
fumecheng-5058	195	1	popov	popov	PROPN
fumecheng-5058	195	2	,	,	PUNCT
fumecheng-5058	195	3	v.l	v.l	PROPN
fumecheng-5058	195	4	.	.	PROPN
fumecheng-5058	195	5	,	,	PUNCT
fumecheng-5058	195	6	psakhie	psakhie	PROPN
fumecheng-5058	195	7	,	,	PUNCT
fumecheng-5058	195	8	s.g	s.g	PROPN
fumecheng-5058	195	9	.	.	PROPN
fumecheng-5058	195	10	,	,	PUNCT
fumecheng-5058	195	11	2007	2007	NUM
fumecheng-5058	195	12	,	,	PUNCT
fumecheng-5058	195	13	numerical	numerical	PROPN
fumecheng-5058	195	14	simulation	simulation	NOUN
fumecheng-5058	195	15	methods	method	NOUN
fumecheng-5058	195	16	in	in	ADP
fumecheng-5058	195	17	tribology	tribology	NOUN
fumecheng-5058	195	18	,	,	PUNCT
fumecheng-5058	195	19	tribology	tribology	PROPN
fumecheng-5058	195	20	international	international	PROPN
fumecheng-5058	195	21	,	,	PUNCT
fumecheng-5058	195	22	40	40	NUM
fumecheng-5058	195	23	,	,	PUNCT
fumecheng-5058	195	24	pp	pp	ADJ
fumecheng-5058	195	25	.	.	PUNCT
fumecheng-5058	196	1	916–923	916–923	NUM
fumecheng-5058	196	2	.	.	PUNCT
fumecheng-5058	197	1	23	23	NUM
fumecheng-5058	197	2	.	.	X
fumecheng-5058	198	1	geike	geike	NOUN
fumecheng-5058	198	2	,	,	PUNCT
fumecheng-5058	198	3	t.	t.	PROPN
fumecheng-5058	198	4	,	,	PUNCT
fumecheng-5058	198	5	popov	popov	PROPN
fumecheng-5058	198	6	,	,	PUNCT
fumecheng-5058	198	7	v.l	v.l	PROPN
fumecheng-5058	198	8	.	.	PROPN
fumecheng-5058	198	9	,	,	PUNCT
fumecheng-5058	198	10	2007	2007	NUM
fumecheng-5058	198	11	,	,	PUNCT
fumecheng-5058	198	12	mapping	mapping	NOUN
fumecheng-5058	198	13	of	of	ADP
fumecheng-5058	198	14	three	three	NUM
fumecheng-5058	198	15	-	-	PUNCT
fumecheng-5058	198	16	dimensional	dimensional	ADJ
fumecheng-5058	198	17	contact	contact	NOUN
fumecheng-5058	198	18	problems	problem	NOUN
fumecheng-5058	198	19	into	into	ADP
fumecheng-5058	198	20	one	one	NUM
fumecheng-5058	198	21	dimension	dimension	NOUN
fumecheng-5058	198	22	,	,	PUNCT
fumecheng-5058	198	23	physical	physical	ADJ
fumecheng-5058	198	24	review	review	NOUN
fumecheng-5058	198	25	e	e	NOUN
fumecheng-5058	198	26	,	,	PUNCT
fumecheng-5058	198	27	76(3	76(3	PROPN
fumecheng-5058	198	28	)	)	PUNCT
fumecheng-5058	198	29	,	,	PUNCT
fumecheng-5058	198	30	036710	036710	NUM
fumecheng-5058	198	31	.	.	PUNCT
fumecheng-5058	199	1	24	24	NUM
fumecheng-5058	199	2	.	.	PUNCT
fumecheng-5058	200	1	popov	popov	PROPN
fumecheng-5058	200	2	,	,	PUNCT
fumecheng-5058	200	3	v.l	v.l	PROPN
fumecheng-5058	200	4	.	.	PROPN
fumecheng-5058	200	5	,	,	PUNCT
fumecheng-5058	200	6	heß	heß	PROPN
fumecheng-5058	200	7	,	,	PUNCT
fumecheng-5058	200	8	m.	m.	NOUN
fumecheng-5058	200	9	,	,	PUNCT
fumecheng-5058	200	10	2014	2014	NUM
fumecheng-5058	200	11	,	,	PUNCT
fumecheng-5058	200	12	method	method	NOUN
fumecheng-5058	200	13	of	of	ADP
fumecheng-5058	200	14	dimensionality	dimensionality	NOUN
fumecheng-5058	200	15	reduction	reduction	NOUN
fumecheng-5058	200	16	in	in	ADP
fumecheng-5058	200	17	contact	contact	NOUN
fumecheng-5058	200	18	mechanics	mechanic	NOUN
fumecheng-5058	200	19	and	and	CCONJ
fumecheng-5058	200	20	friction	friction	NOUN
fumecheng-5058	200	21	:	:	PUNCT
fumecheng-5058	200	22	a	a	DET
fumecheng-5058	200	23	user	user	NOUN
fumecheng-5058	200	24	’s	’s	PART
fumecheng-5058	200	25	handbook	handbook	NOUN
fumecheng-5058	200	26	.	.	PUNCT
fumecheng-5058	201	1	i.	i.	PROPN
fumecheng-5058	201	2	axially	axially	ADV
fumecheng-5058	201	3	-	-	PUNCT
fumecheng-5058	201	4	symmetric	symmetric	ADJ
fumecheng-5058	201	5	contacts	contact	NOUN
fumecheng-5058	201	6	,	,	PUNCT
fumecheng-5058	201	7	facta	facta	PROPN
fumecheng-5058	201	8	universitatis	universitatis	PROPN
fumecheng-5058	201	9	-	-	PUNCT
fumecheng-5058	201	10	series	series	NOUN
fumecheng-5058	201	11	mechanical	mechanical	ADJ
fumecheng-5058	201	12	engineering	engineering	NOUN
fumecheng-5058	201	13	,	,	PUNCT
fumecheng-5058	201	14	12(1	12(1	NUM
fumecheng-5058	201	15	)	)	PUNCT
fumecheng-5058	201	16	,	,	PUNCT
fumecheng-5058	202	1	pp	pp	PROPN
fumecheng-5058	202	2	.	.	PUNCT
fumecheng-5058	203	1	1–14	1–14	PROPN
fumecheng-5058	203	2	.	.	PROPN
fumecheng-5058	204	1	25	25	NUM
fumecheng-5058	204	2	.	.	PUNCT
fumecheng-5058	204	3	heß	heß	PROPN
fumecheng-5058	204	4	,	,	PUNCT
fumecheng-5058	204	5	m.	m.	NOUN
fumecheng-5058	204	6	,	,	PUNCT
fumecheng-5058	204	7	popov	popov	PROPN
fumecheng-5058	204	8	,	,	PUNCT
fumecheng-5058	204	9	v.l	v.l	PROPN
fumecheng-5058	204	10	.	.	PROPN
fumecheng-5058	204	11	,	,	PUNCT
fumecheng-5058	204	12	2016	2016	NUM
fumecheng-5058	204	13	,	,	PUNCT
fumecheng-5058	204	14	method	method	NOUN
fumecheng-5058	204	15	of	of	ADP
fumecheng-5058	204	16	dimensionality	dimensionality	NOUN
fumecheng-5058	204	17	reduction	reduction	NOUN
fumecheng-5058	204	18	in	in	ADP
fumecheng-5058	204	19	contact	contact	NOUN
fumecheng-5058	204	20	mechanics	mechanic	NOUN
fumecheng-5058	204	21	and	and	CCONJ
fumecheng-5058	204	22	friction	friction	NOUN
fumecheng-5058	204	23	:	:	PUNCT
fumecheng-5058	204	24	a	a	DET
fumecheng-5058	204	25	user	user	NOUN
fumecheng-5058	204	26	’s	’s	PART
fumecheng-5058	204	27	handbook	handbook	NOUN
fumecheng-5058	204	28	.	.	PUNCT
fumecheng-5058	205	1	ii	ii	PROPN
fumecheng-5058	205	2	.	.	PUNCT
fumecheng-5058	206	1	power	power	NOUN
fumecheng-5058	206	2	-	-	PUNCT
fumecheng-5058	206	3	law	law	NOUN
fumecheng-5058	206	4	graded	grade	VERB
fumecheng-5058	206	5	materials	material	NOUN
fumecheng-5058	206	6	,	,	PUNCT
fumecheng-5058	206	7	facta	facta	PROPN
fumecheng-5058	206	8	universitatis	universitatis	PROPN
fumecheng-5058	206	9	-	-	PUNCT
fumecheng-5058	206	10	series	series	NOUN
fumecheng-5058	206	11	mechanical	mechanical	ADJ
fumecheng-5058	206	12	engineering	engineering	NOUN
fumecheng-5058	206	13	,	,	PUNCT
fumecheng-5058	206	14	14(3	14(3	NUM
fumecheng-5058	206	15	)	)	PUNCT
fumecheng-5058	206	16	,	,	PUNCT
fumecheng-5058	206	17	pp	pp	ADJ
fumecheng-5058	206	18	.	.	PUNCT
fumecheng-5058	207	1	251–268	251–268	NUM
fumecheng-5058	207	2	.	.	PUNCT
fumecheng-5058	208	1	26	26	NUM
fumecheng-5058	208	2	.	.	PUNCT
fumecheng-5058	209	1	popov	popov	PROPN
fumecheng-5058	209	2	,	,	PUNCT
fumecheng-5058	209	3	v.l	v.l	PROPN
fumecheng-5058	209	4	.	.	PROPN
fumecheng-5058	209	5	,	,	PUNCT
fumecheng-5058	209	6	willert	willert	PROPN
fumecheng-5058	209	7	,	,	PUNCT
fumecheng-5058	209	8	e.	e.	PROPN
fumecheng-5058	209	9	,	,	PUNCT
fumecheng-5058	209	10	heß	heß	PROPN
fumecheng-5058	209	11	,	,	PUNCT
fumecheng-5058	209	12	m.	m.	NOUN
fumecheng-5058	209	13	,	,	PUNCT
fumecheng-5058	209	14	2018	2018	NUM
fumecheng-5058	209	15	,	,	PUNCT
fumecheng-5058	209	16	method	method	NOUN
fumecheng-5058	209	17	of	of	ADP
fumecheng-5058	209	18	dimenionality	dimenionality	NOUN
fumecheng-5058	209	19	reduction	reduction	NOUN
fumecheng-5058	209	20	in	in	ADP
fumecheng-5058	209	21	contact	contact	NOUN
fumecheng-5058	209	22	mechanics	mechanic	NOUN
fumecheng-5058	209	23	and	and	CCONJ
fumecheng-5058	209	24	friction	friction	NOUN
fumecheng-5058	209	25	:	:	PUNCT
fumecheng-5058	209	26	a	a	DET
fumecheng-5058	209	27	user	user	NOUN
fumecheng-5058	209	28	’s	’s	PART
fumecheng-5058	209	29	handbook	handbook	NOUN
fumecheng-5058	209	30	.	.	PUNCT
fumecheng-5058	210	1	iii	iii	PROPN
fumecheng-5058	210	2	.	.	PUNCT
fumecheng-5058	210	3	viscoelastic	viscoelastic	ADJ
fumecheng-5058	210	4	contacts	contact	NOUN
fumecheng-5058	210	5	.	.	PUNCT
fumecheng-5058	211	1	facta	facta	PROPN
fumecheng-5058	211	2	universitatis	universitatis	PROPN
fumecheng-5058	211	3	,	,	PUNCT
fumecheng-5058	211	4	series	series	PROPN
fumecheng-5058	211	5	mechanical	mechanical	ADJ
fumecheng-5058	211	6	engineering	engineering	NOUN
fumecheng-5058	211	7	,	,	PUNCT
fumecheng-5058	211	8	16(2	16(2	NUM
fumecheng-5058	211	9	)	)	PUNCT
fumecheng-5058	211	10	,	,	PUNCT
fumecheng-5058	211	11	pp	pp	ADP
fumecheng-5058	211	12	.	.	PUNCT
fumecheng-5058	212	1	99–113	99–113	NUM
fumecheng-5058	212	2	.	.	PUNCT
fumecheng-5058	213	1	27	27	NUM
fumecheng-5058	213	2	.	.	PUNCT
fumecheng-5058	214	1	heß	heß	PROPN
fumecheng-5058	214	2	,	,	PUNCT
fumecheng-5058	214	3	m.	m.	NOUN
fumecheng-5058	214	4	,	,	PUNCT
fumecheng-5058	214	5	2011	2011	NUM
fumecheng-5058	214	6	,	,	PUNCT
fumecheng-5058	214	7	über	über	PROPN
fumecheng-5058	214	8	die	die	NOUN
fumecheng-5058	214	9	exakte	exakte	PROPN
fumecheng-5058	214	10	abbildung	abbildung	PROPN
fumecheng-5058	214	11	ausgewählter	ausgewählter	PROPN
fumecheng-5058	214	12	dreidimensionaler	dreidimensionaler	PROPN
fumecheng-5058	214	13	kontakte	kontakte	PROPN
fumecheng-5058	214	14	auf	auf	PROPN
fumecheng-5058	214	15	systeme	systeme	PROPN
fumecheng-5058	214	16	mit	mit	PROPN
fumecheng-5058	214	17	niedrigerer	niedrigerer	PROPN
fumecheng-5058	214	18	räumlicher	räumlicher	ADJ
fumecheng-5058	214	19	dimension	dimension	NOUN
fumecheng-5058	214	20	,	,	PUNCT
fumecheng-5058	214	21	göttingen	göttingen	NOUN
fumecheng-5058	214	22	:	:	PUNCT
fumecheng-5058	214	23	cuvillier	cuvillier	NOUN
fumecheng-5058	214	24	verlag	verlag	PROPN
fumecheng-5058	214	25	(	(	PUNCT
fumecheng-5058	214	26	in	in	ADP
fumecheng-5058	214	27	german	german	NOUN
fumecheng-5058	214	28	)	)	PUNCT
fumecheng-5058	214	29	.	.	PUNCT
fumecheng-5058	215	1	28	28	NUM
fumecheng-5058	215	2	.	.	PUNCT
fumecheng-5058	216	1	aleksandrov	aleksandrov	PROPN
fumecheng-5058	216	2	,	,	PUNCT
fumecheng-5058	216	3	v.m	v.m	PROPN
fumecheng-5058	216	4	.	.	PROPN
fumecheng-5058	216	5	,	,	PUNCT
fumecheng-5058	216	6	1962	1962	NUM
fumecheng-5058	216	7	,	,	PUNCT
fumecheng-5058	216	8	on	on	ADP
fumecheng-5058	216	9	the	the	DET
fumecheng-5058	216	10	approximate	approximate	ADJ
fumecheng-5058	216	11	solution	solution	NOUN
fumecheng-5058	216	12	of	of	ADP
fumecheng-5058	216	13	a	a	DET
fumecheng-5058	216	14	certain	certain	ADJ
fumecheng-5058	216	15	type	type	NOUN
fumecheng-5058	216	16	of	of	ADP
fumecheng-5058	216	17	integral	integral	ADJ
fumecheng-5058	216	18	equation	equation	NOUN
fumecheng-5058	216	19	,	,	PUNCT
fumecheng-5058	216	20	journal	journal	NOUN
fumecheng-5058	216	21	of	of	ADP
fumecheng-5058	216	22	applied	apply	VERB
fumecheng-5058	216	23	mathematics	mathematic	NOUN
fumecheng-5058	216	24	and	and	CCONJ
fumecheng-5058	216	25	mechanics	mechanic	NOUN
fumecheng-5058	216	26	(	(	PUNCT
fumecheng-5058	216	27	pmm	pmm	PROPN
fumecheng-5058	216	28	)	)	PUNCT
fumecheng-5058	216	29	,	,	PUNCT
fumecheng-5058	216	30	26	26	NUM
fumecheng-5058	216	31	,	,	PUNCT
fumecheng-5058	216	32	1410–1424	1410–1424	NUM
fumecheng-5058	216	33	.	.	NOUN
fumecheng-5058	216	34	29	29	NUM
fumecheng-5058	216	35	.	.	PUNCT
fumecheng-5058	217	1	argatov	argatov	PROPN
fumecheng-5058	217	2	,	,	PUNCT
fumecheng-5058	217	3	i.i	i.i	PROPN
fumecheng-5058	217	4	.	.	PROPN
fumecheng-5058	217	5	,	,	PUNCT
fumecheng-5058	217	6	mishuris	mishuris	NOUN
fumecheng-5058	217	7	,	,	PUNCT
fumecheng-5058	217	8	g.s	g.s	PROPN
fumecheng-5058	217	9	.	.	PROPN
fumecheng-5058	217	10	,	,	PUNCT
fumecheng-5058	217	11	popov	popov	PROPN
fumecheng-5058	217	12	,	,	PUNCT
fumecheng-5058	217	13	v.l	v.l	PROPN
fumecheng-5058	217	14	.	.	PROPN
fumecheng-5058	217	15	,	,	PUNCT
fumecheng-5058	217	16	2016	2016	NUM
fumecheng-5058	217	17	,	,	PUNCT
fumecheng-5058	217	18	asymptotic	asymptotic	ADJ
fumecheng-5058	217	19	modelling	modelling	NOUN
fumecheng-5058	217	20	of	of	ADP
fumecheng-5058	217	21	the	the	DET
fumecheng-5058	217	22	jkr	jkr	PROPN
fumecheng-5058	217	23	adhsion	adhsion	NOUN
fumecheng-5058	217	24	contact	contact	NOUN
fumecheng-5058	217	25	for	for	ADP
fumecheng-5058	217	26	thin	thin	ADJ
fumecheng-5058	217	27	elastic	elastic	ADJ
fumecheng-5058	217	28	layer	layer	NOUN
fumecheng-5058	217	29	,	,	PUNCT
fumecheng-5058	217	30	quarterly	quarterly	ADJ
fumecheng-5058	217	31	journal	journal	NOUN
fumecheng-5058	217	32	of	of	ADP
fumecheng-5058	217	33	mechanics	mechanic	NOUN
fumecheng-5058	217	34	and	and	CCONJ
fumecheng-5058	217	35	applied	apply	VERB
fumecheng-5058	217	36	mathematics	mathematic	NOUN
fumecheng-5058	217	37	,	,	PUNCT
fumecheng-5058	217	38	69(2	69(2	NOUN
fumecheng-5058	217	39	)	)	PUNCT
fumecheng-5058	217	40	,	,	PUNCT
fumecheng-5058	217	41	pp	pp	ADJ
fumecheng-5058	217	42	.	.	PUNCT
fumecheng-5058	218	1	161–179	161–179	NUM
fumecheng-5058	218	2	.	.	X
fumecheng-5058	219	1	30	30	NUM
fumecheng-5058	219	2	.	.	X
fumecheng-5058	220	1	maugis	maugis	PROPN
fumecheng-5058	220	2	,	,	PUNCT
fumecheng-5058	220	3	d.	d.	PROPN
fumecheng-5058	220	4	,	,	PUNCT
fumecheng-5058	220	5	1995	1995	NUM
fumecheng-5058	220	6	,	,	PUNCT
fumecheng-5058	220	7	extension	extension	NOUN
fumecheng-5058	220	8	of	of	ADP
fumecheng-5058	220	9	the	the	DET
fumecheng-5058	220	10	johnson	johnson	PROPN
fumecheng-5058	220	11	–	–	PUNCT
fumecheng-5058	220	12	kendall	kendall	PROPN
fumecheng-5058	220	13	–	–	PUNCT
fumecheng-5058	220	14	roberts	roberts	PROPN
fumecheng-5058	220	15	theory	theory	NOUN
fumecheng-5058	220	16	of	of	ADP
fumecheng-5058	220	17	the	the	DET
fumecheng-5058	220	18	elastic	elastic	ADJ
fumecheng-5058	220	19	contact	contact	NOUN
fumecheng-5058	220	20	of	of	ADP
fumecheng-5058	220	21	spheres	sphere	NOUN
fumecheng-5058	220	22	to	to	ADP
fumecheng-5058	220	23	large	large	ADJ
fumecheng-5058	220	24	contact	contact	NOUN
fumecheng-5058	220	25	radii	radius	NOUN
fumecheng-5058	220	26	,	,	PUNCT
fumecheng-5058	220	27	langmuir	langmuir	PROPN
fumecheng-5058	220	28	,	,	PUNCT
fumecheng-5058	220	29	11	11	NUM
fumecheng-5058	220	30	,	,	PUNCT
fumecheng-5058	220	31	pp	pp	ADJ
fumecheng-5058	220	32	.	.	PUNCT
fumecheng-5058	221	1	679–682	679–682	NUM
fumecheng-5058	221	2	.	.	PUNCT
fumecheng-5058	222	1	31	31	NUM
fumecheng-5058	222	2	.	.	X
fumecheng-5058	223	1	johnson	johnson	PROPN
fumecheng-5058	223	2	,	,	PUNCT
fumecheng-5058	223	3	k.l	k.l	PROPN
fumecheng-5058	223	4	.	.	PROPN
fumecheng-5058	223	5	,	,	PUNCT
fumecheng-5058	223	6	greenwood	greenwood	PROPN
fumecheng-5058	223	7	,	,	PUNCT
fumecheng-5058	223	8	j.a	j.a	PROPN
fumecheng-5058	223	9	.	.	PROPN
fumecheng-5058	223	10	,	,	PUNCT
fumecheng-5058	223	11	2005	2005	NUM
fumecheng-5058	223	12	,	,	PUNCT
fumecheng-5058	223	13	an	an	DET
fumecheng-5058	223	14	approximate	approximate	ADJ
fumecheng-5058	223	15	jkr	jkr	PROPN
fumecheng-5058	223	16	theory	theory	NOUN
fumecheng-5058	223	17	for	for	ADP
fumecheng-5058	223	18	elliptical	elliptical	ADJ
fumecheng-5058	223	19	contacts	contact	NOUN
fumecheng-5058	223	20	,	,	PUNCT
fumecheng-5058	223	21	journal	journal	NOUN
fumecheng-5058	223	22	of	of	ADP
fumecheng-5058	223	23	physics	physics	PROPN
fumecheng-5058	223	24	d	d	PROPN
fumecheng-5058	223	25	:	:	PUNCT
fumecheng-5058	223	26	applied	applied	ADJ
fumecheng-5058	223	27	physics	physic	NOUN
fumecheng-5058	223	28	,	,	PUNCT
fumecheng-5058	223	29	38	38	NUM
fumecheng-5058	223	30	,	,	PUNCT
fumecheng-5058	223	31	pp	pp	ADJ
fumecheng-5058	223	32	.	.	PUNCT
fumecheng-5058	224	1	1042–1046	1042–1046	NUM
fumecheng-5058	224	2	.	.	PUNCT
fumecheng-5058	225	1	32	32	NUM
fumecheng-5058	225	2	.	.	PUNCT
fumecheng-5058	226	1	kendall	kendall	PROPN
fumecheng-5058	226	2	,	,	PUNCT
fumecheng-5058	226	3	k.	k.	PROPN
fumecheng-5058	226	4	,	,	PUNCT
fumecheng-5058	226	5	1971	1971	NUM
fumecheng-5058	226	6	,	,	PUNCT
fumecheng-5058	226	7	the	the	DET
fumecheng-5058	226	8	adhesion	adhesion	NOUN
fumecheng-5058	226	9	and	and	CCONJ
fumecheng-5058	226	10	surface	surface	NOUN
fumecheng-5058	226	11	energy	energy	NOUN
fumecheng-5058	226	12	of	of	ADP
fumecheng-5058	226	13	elastic	elastic	ADJ
fumecheng-5058	226	14	solids	solid	NOUN
fumecheng-5058	226	15	,	,	PUNCT
fumecheng-5058	226	16	journal	journal	NOUN
fumecheng-5058	226	17	of	of	ADP
fumecheng-5058	226	18	physics	physics	PROPN
fumecheng-5058	227	1	d	d	PROPN
fumecheng-5058	227	2	:	:	PUNCT
fumecheng-5058	227	3	applied	applied	ADJ
fumecheng-5058	227	4	physics	physic	NOUN
fumecheng-5058	227	5	,	,	PUNCT
fumecheng-5058	227	6	4	4	NUM
fumecheng-5058	227	7	,	,	PUNCT
fumecheng-5058	227	8	pp	pp	ADJ
fumecheng-5058	227	9	.	.	PUNCT
fumecheng-5058	228	1	1186–1195	1186–1195	NUM
fumecheng-5058	228	2	.	.	NOUN
fumecheng-5058	229	1	33	33	NUM
fumecheng-5058	229	2	.	.	PUNCT
fumecheng-5058	229	3	pólya	pólya	NOUN
fumecheng-5058	229	4	,	,	PUNCT
fumecheng-5058	229	5	g.	g.	PROPN
fumecheng-5058	229	6	,	,	PUNCT
fumecheng-5058	229	7	szegö	szegö	PROPN
fumecheng-5058	229	8	,	,	PUNCT
fumecheng-5058	229	9	g.	g.	PROPN
fumecheng-5058	229	10	,	,	PUNCT
fumecheng-5058	229	11	1951	1951	NUM
fumecheng-5058	229	12	,	,	PUNCT
fumecheng-5058	229	13	isoperimetric	isoperimetric	ADJ
fumecheng-5058	229	14	inequalities	inequality	NOUN
fumecheng-5058	229	15	in	in	ADP
fumecheng-5058	229	16	mathematical	mathematical	ADJ
fumecheng-5058	229	17	physics	physics	PROPN
fumecheng-5058	229	18	,	,	PUNCT
fumecheng-5058	229	19	princeton	princeton	PROPN
fumecheng-5058	229	20	univ	univ	PROPN
fumecheng-5058	229	21	.	.	PUNCT
fumecheng-5058	230	1	press	press	PROPN
fumecheng-5058	230	2	,	,	PUNCT
fumecheng-5058	230	3	princeton	princeton	PROPN
fumecheng-5058	230	4	,	,	PUNCT
fumecheng-5058	230	5	nj	nj	PROPN
fumecheng-5058	230	6	.	.	PROPN
fumecheng-5058	231	1	34	34	NUM
fumecheng-5058	231	2	.	.	PUNCT
fumecheng-5058	232	1	li	li	PROPN
fumecheng-5058	232	2	,	,	PUNCT
fumecheng-5058	232	3	q.	q.	PROPN
fumecheng-5058	232	4	,	,	PUNCT
fumecheng-5058	232	5	argatov	argatov	PROPN
fumecheng-5058	232	6	,	,	PUNCT
fumecheng-5058	232	7	i.i	i.i	PROPN
fumecheng-5058	232	8	.	.	PROPN
fumecheng-5058	232	9	,	,	PUNCT
fumecheng-5058	232	10	popov	popov	PROPN
fumecheng-5058	232	11	,	,	PUNCT
fumecheng-5058	232	12	v.l	v.l	PROPN
fumecheng-5058	232	13	.	.	PROPN
fumecheng-5058	232	14	,	,	PUNCT
fumecheng-5058	232	15	2018	2018	NUM
fumecheng-5058	232	16	,	,	PUNCT
fumecheng-5058	232	17	onset	onset	NOUN
fumecheng-5058	232	18	of	of	ADP
fumecheng-5058	232	19	detachment	detachment	NOUN
fumecheng-5058	232	20	in	in	ADP
fumecheng-5058	232	21	adhesive	adhesive	ADJ
fumecheng-5058	232	22	contact	contact	NOUN
fumecheng-5058	232	23	of	of	ADP
fumecheng-5058	232	24	an	an	DET
fumecheng-5058	232	25	elastic	elastic	ADJ
fumecheng-5058	232	26	half	half	ADJ
fumecheng-5058	232	27	-	-	PUNCT
fumecheng-5058	232	28	space	space	NOUN
fumecheng-5058	232	29	and	and	CCONJ
fumecheng-5058	232	30	flat	flat	ADV
fumecheng-5058	232	31	-	-	PUNCT
fumecheng-5058	232	32	ended	end	VERB
fumecheng-5058	232	33	punches	punch	NOUN
fumecheng-5058	232	34	with	with	ADP
fumecheng-5058	232	35	noncircular	noncircular	ADJ
fumecheng-5058	232	36	shape	shape	NOUN
fumecheng-5058	232	37	:	:	PUNCT
fumecheng-5058	232	38	analytic	analytic	ADJ
fumecheng-5058	232	39	estimations	estimation	NOUN
fumecheng-5058	232	40	and	and	CCONJ
fumecheng-5058	232	41	comparison	comparison	NOUN
fumecheng-5058	232	42	with	with	ADP
fumecheng-5058	232	43	numeric	numeric	ADJ
fumecheng-5058	232	44	analysis	analysis	NOUN
fumecheng-5058	232	45	,	,	PUNCT
fumecheng-5058	232	46	journal	journal	NOUN
fumecheng-5058	232	47	of	of	ADP
fumecheng-5058	232	48	physics	physics	PROPN
fumecheng-5058	233	1	d	d	PROPN
fumecheng-5058	233	2	:	:	PUNCT
fumecheng-5058	233	3	applied	applied	ADJ
fumecheng-5058	233	4	physics	physics	NOUN
fumecheng-5058	233	5	,	,	PUNCT
fumecheng-5058	233	6	51(14	51(14	PROPN
fumecheng-5058	233	7	)	)	PUNCT
fumecheng-5058	233	8	,	,	PUNCT
fumecheng-5058	233	9	145601	145601	NUM
fumecheng-5058	233	10	.	.	PUNCT
fumecheng-5058	234	1	35	35	NUM
fumecheng-5058	234	2	.	.	PUNCT
fumecheng-5058	235	1	popov	popov	PROPN
fumecheng-5058	235	2	,	,	PUNCT
fumecheng-5058	235	3	v.l	v.l	PROPN
fumecheng-5058	235	4	.	.	PROPN
fumecheng-5058	235	5	,	,	PUNCT
fumecheng-5058	235	6	pohrt	pohrt	PROPN
fumecheng-5058	235	7	,	,	PUNCT
fumecheng-5058	235	8	r.	r.	PROPN
fumecheng-5058	235	9	,	,	PUNCT
fumecheng-5058	235	10	li	li	PROPN
fumecheng-5058	235	11	,	,	PUNCT
fumecheng-5058	235	12	q.	q.	PROPN
fumecheng-5058	235	13	,	,	PUNCT
fumecheng-5058	235	14	2017	2017	NUM
fumecheng-5058	235	15	,	,	PUNCT
fumecheng-5058	235	16	strength	strength	NOUN
fumecheng-5058	235	17	of	of	ADP
fumecheng-5058	235	18	adhesive	adhesive	ADJ
fumecheng-5058	235	19	contacts	contact	NOUN
fumecheng-5058	235	20	:	:	PUNCT
fumecheng-5058	235	21	influence	influence	NOUN
fumecheng-5058	235	22	of	of	ADP
fumecheng-5058	235	23	contact	contact	NOUN
fumecheng-5058	235	24	geometry	geometry	NOUN
fumecheng-5058	235	25	and	and	CCONJ
fumecheng-5058	235	26	material	material	NOUN
fumecheng-5058	235	27	gradients	gradient	NOUN
fumecheng-5058	235	28	,	,	PUNCT
fumecheng-5058	235	29	friction	friction	NOUN
fumecheng-5058	235	30	,	,	PUNCT
fumecheng-5058	235	31	5	5	NUM
fumecheng-5058	235	32	,	,	PUNCT
fumecheng-5058	235	33	pp	pp	ADJ
fumecheng-5058	235	34	.	.	PUNCT
fumecheng-5058	236	1	308–325	308–325	NUM
fumecheng-5058	236	2	.	.	PUNCT
fumecheng-5058	237	1	36	36	NUM
fumecheng-5058	237	2	.	.	PUNCT
fumecheng-5058	238	1	kerr	kerr	PROPN
fumecheng-5058	238	2	,	,	PUNCT
fumecheng-5058	238	3	a.d	a.d	PROPN
fumecheng-5058	238	4	.	.	PROPN
fumecheng-5058	238	5	,	,	PUNCT
fumecheng-5058	238	6	1964	1964	NUM
fumecheng-5058	238	7	,	,	PUNCT
fumecheng-5058	238	8	elastic	elastic	ADJ
fumecheng-5058	238	9	and	and	CCONJ
fumecheng-5058	238	10	viscoelastic	viscoelastic	NOUN
fumecheng-5058	238	11	foundation	foundation	NOUN
fumecheng-5058	238	12	models	model	NOUN
fumecheng-5058	238	13	,	,	PUNCT
fumecheng-5058	238	14	journal	journal	NOUN
fumecheng-5058	238	15	of	of	ADP
fumecheng-5058	238	16	applied	apply	VERB
fumecheng-5058	238	17	mechanics	mechanic	NOUN
fumecheng-5058	238	18	,	,	PUNCT
fumecheng-5058	238	19	31(3	31(3	NUM
fumecheng-5058	238	20	)	)	PUNCT
fumecheng-5058	238	21	,	,	PUNCT
fumecheng-5058	238	22	pp	pp	ADP
fumecheng-5058	238	23	.	.	PUNCT
fumecheng-5058	239	1	491–498	491–498	NUM
fumecheng-5058	239	2	.	.	PUNCT
fumecheng-5058	240	1	37	37	NUM
fumecheng-5058	240	2	.	.	PUNCT
fumecheng-5058	240	3	dillard	dillard	NOUN
fumecheng-5058	240	4	,	,	PUNCT
fumecheng-5058	240	5	d.a	d.a	PROPN
fumecheng-5058	240	6	.	.	PROPN
fumecheng-5058	240	7	,	,	PUNCT
fumecheng-5058	240	8	mukherjee	mukherjee	PROPN
fumecheng-5058	240	9	,	,	PUNCT
fumecheng-5058	240	10	b.	b.	PROPN
fumecheng-5058	240	11	,	,	PUNCT
fumecheng-5058	240	12	karnal	karnal	PROPN
fumecheng-5058	240	13	,	,	PUNCT
fumecheng-5058	240	14	p.	p.	PROPN
fumecheng-5058	240	15	,	,	PUNCT
fumecheng-5058	240	16	batra	batra	PROPN
fumecheng-5058	240	17	,	,	PUNCT
fumecheng-5058	240	18	r.c	r.c	PROPN
fumecheng-5058	240	19	.	.	PROPN
fumecheng-5058	240	20	,	,	PUNCT
fumecheng-5058	240	21	frechette	frechette	PROPN
fumecheng-5058	240	22	,	,	PUNCT
fumecheng-5058	240	23	j.	j.	PROPN
fumecheng-5058	240	24	,	,	PUNCT
fumecheng-5058	240	25	2018	2018	NUM
fumecheng-5058	240	26	,	,	PUNCT
fumecheng-5058	240	27	a	a	DET
fumecheng-5058	240	28	review	review	NOUN
fumecheng-5058	240	29	of	of	ADP
fumecheng-5058	240	30	winkler	winkler	NOUN
fumecheng-5058	240	31	’s	’s	PART
fumecheng-5058	240	32	foundation	foundation	NOUN
fumecheng-5058	240	33	and	and	CCONJ
fumecheng-5058	240	34	its	its	PRON
fumecheng-5058	240	35	profound	profound	ADJ
fumecheng-5058	240	36	influence	influence	NOUN
fumecheng-5058	240	37	on	on	ADP
fumecheng-5058	240	38	adhesion	adhesion	NOUN
fumecheng-5058	240	39	and	and	CCONJ
fumecheng-5058	240	40	soft	soft	ADJ
fumecheng-5058	240	41	matter	matter	NOUN
fumecheng-5058	240	42	applications	application	NOUN
fumecheng-5058	240	43	,	,	PUNCT
fumecheng-5058	240	44	soft	soft	ADJ
fumecheng-5058	240	45	matter	matter	NOUN
fumecheng-5058	240	46	,	,	PUNCT
fumecheng-5058	240	47	14(19	14(19	NUM
fumecheng-5058	240	48	)	)	PUNCT
fumecheng-5058	240	49	,	,	PUNCT
fumecheng-5058	240	50	pp	pp	ADJ
fumecheng-5058	240	51	.	.	PUNCT
fumecheng-5058	241	1	3669–3683	3669–3683	NUM
fumecheng-5058	241	2	.	.	PUNCT
fumecheng-5058	242	1	38	38	NUM
fumecheng-5058	242	2	.	.	PUNCT
fumecheng-5058	242	3	willert	willert	PROPN
fumecheng-5058	242	4	,	,	PUNCT
fumecheng-5058	242	5	e.	e.	PROPN
fumecheng-5058	242	6	,	,	PUNCT
fumecheng-5058	242	7	popov	popov	PROPN
fumecheng-5058	242	8	,	,	PUNCT
fumecheng-5058	242	9	v.l	v.l	PROPN
fumecheng-5058	242	10	.	.	PROPN
fumecheng-5058	242	11	,	,	PUNCT
fumecheng-5058	242	12	2017	2017	NUM
fumecheng-5058	242	13	,	,	PUNCT
fumecheng-5058	242	14	exact	exact	ADJ
fumecheng-5058	242	15	one‐	one‐	ADP
fumecheng-5058	242	16	dimensional	dimensional	ADJ
fumecheng-5058	242	17	mapping	mapping	NOUN
fumecheng-5058	242	18	of	of	ADP
fumecheng-5058	242	19	axially	axially	ADV
fumecheng-5058	242	20	symmetric	symmetric	ADJ
fumecheng-5058	242	21	elastic	elastic	ADJ
fumecheng-5058	242	22	contacts	contact	NOUN
fumecheng-5058	242	23	with	with	ADP
fumecheng-5058	242	24	superimposed	superimpose	VERB
fumecheng-5058	242	25	normal	normal	ADJ
fumecheng-5058	242	26	and	and	CCONJ
fumecheng-5058	242	27	torsional	torsional	ADJ
fumecheng-5058	242	28	loading	loading	NOUN
fumecheng-5058	242	29	,	,	PUNCT
fumecheng-5058	242	30	journal	journal	NOUN
fumecheng-5058	242	31	of	of	ADP
fumecheng-5058	242	32	applied	apply	VERB
fumecheng-5058	242	33	mathematics	mathematic	NOUN
fumecheng-5058	242	34	and	and	CCONJ
fumecheng-5058	242	35	mechanics	mechanic	NOUN
fumecheng-5058	242	36	(	(	PUNCT
fumecheng-5058	242	37	zamm	zamm	PROPN
fumecheng-5058	242	38	)	)	PUNCT
fumecheng-5058	242	39	,	,	PUNCT
fumecheng-5058	242	40	97(2	97(2	NUM
fumecheng-5058	242	41	)	)	PUNCT
fumecheng-5058	242	42	,	,	PUNCT
fumecheng-5058	242	43	pp	pp	ADP
fumecheng-5058	242	44	.	.	PUNCT
fumecheng-5058	243	1	173–182	173–182	NUM
fumecheng-5058	243	2	.	.	PUNCT
fumecheng-5058	244	1	39	39	NUM
fumecheng-5058	244	2	.	.	PUNCT
fumecheng-5058	245	1	argatov	argatov	PROPN
fumecheng-5058	245	2	,	,	PUNCT
fumecheng-5058	245	3	i.i	i.i	PROPN
fumecheng-5058	245	4	.	.	PROPN
fumecheng-5058	245	5	,	,	PUNCT
fumecheng-5058	245	6	popov	popov	PROPN
fumecheng-5058	245	7	,	,	PUNCT
fumecheng-5058	245	8	v.l	v.l	PROPN
fumecheng-5058	245	9	.	.	PROPN
fumecheng-5058	245	10	,	,	PUNCT
fumecheng-5058	245	11	2016	2016	NUM
fumecheng-5058	245	12	,	,	PUNCT
fumecheng-5058	245	13	rebound	rebound	VERB
fumecheng-5058	245	14	indentation	indentation	NOUN
fumecheng-5058	245	15	problem	problem	NOUN
fumecheng-5058	245	16	for	for	ADP
fumecheng-5058	245	17	a	a	DET
fumecheng-5058	245	18	viscoelastic	viscoelastic	ADJ
fumecheng-5058	245	19	half	half	ADJ
fumecheng-5058	245	20	-	-	PUNCT
fumecheng-5058	245	21	space	space	NOUN
fumecheng-5058	245	22	and	and	CCONJ
fumecheng-5058	245	23	axisymmetric	axisymmetric	ADJ
fumecheng-5058	245	24	indenter	indenter	NOUN
fumecheng-5058	245	25	—	—	PUNCT
fumecheng-5058	245	26	solution	solution	NOUN
fumecheng-5058	245	27	by	by	ADP
fumecheng-5058	245	28	the	the	DET
fumecheng-5058	245	29	method	method	NOUN
fumecheng-5058	245	30	of	of	ADP
fumecheng-5058	245	31	dimensionality	dimensionality	NOUN
fumecheng-5058	245	32	reduction	reduction	NOUN
fumecheng-5058	245	33	,	,	PUNCT
fumecheng-5058	245	34	journal	journal	NOUN
fumecheng-5058	245	35	of	of	ADP
fumecheng-5058	245	36	applied	apply	VERB
fumecheng-5058	245	37	mathematics	mathematic	NOUN
fumecheng-5058	245	38	and	and	CCONJ
fumecheng-5058	245	39	mechanics	mechanic	NOUN
fumecheng-5058	245	40	(	(	PUNCT
fumecheng-5058	245	41	zamm	zamm	PROPN
fumecheng-5058	245	42	)	)	PUNCT
fumecheng-5058	245	43	,	,	PUNCT
fumecheng-5058	245	44	96(8	96(8	NUM
fumecheng-5058	245	45	)	)	PUNCT
fumecheng-5058	245	46	,	,	PUNCT
fumecheng-5058	245	47	pp	pp	ADP
fumecheng-5058	245	48	.	.	PUNCT
fumecheng-5058	246	1	956–967	956–967	NUM
fumecheng-5058	246	2	.	.	NOUN
fumecheng-5058	247	1	40	40	NUM
fumecheng-5058	247	2	.	.	PUNCT
fumecheng-5058	248	1	hess	hess	PROPN
fumecheng-5058	248	2	,	,	PUNCT
fumecheng-5058	248	3	m.	m.	NOUN
fumecheng-5058	248	4	,	,	PUNCT
fumecheng-5058	248	5	2016	2016	NUM
fumecheng-5058	248	6	,	,	PUNCT
fumecheng-5058	248	7	a	a	DET
fumecheng-5058	248	8	simple	simple	ADJ
fumecheng-5058	248	9	method	method	NOUN
fumecheng-5058	248	10	for	for	ADP
fumecheng-5058	248	11	solving	solve	VERB
fumecheng-5058	248	12	adhesive	adhesive	ADJ
fumecheng-5058	248	13	and	and	CCONJ
fumecheng-5058	248	14	non	non	ADJ
fumecheng-5058	248	15	-	-	ADJ
fumecheng-5058	248	16	adhesive	adhesive	ADJ
fumecheng-5058	248	17	axisymmetric	axisymmetric	ADJ
fumecheng-5058	248	18	contact	contact	NOUN
fumecheng-5058	248	19	problems	problem	NOUN
fumecheng-5058	248	20	of	of	ADP
fumecheng-5058	248	21	elastically	elastically	ADV
fumecheng-5058	248	22	graded	grade	VERB
fumecheng-5058	248	23	materials	material	NOUN
fumecheng-5058	248	24	,	,	PUNCT
fumecheng-5058	248	25	international	international	ADJ
fumecheng-5058	248	26	journal	journal	NOUN
fumecheng-5058	248	27	of	of	ADP
fumecheng-5058	248	28	engineering	engineering	NOUN
fumecheng-5058	248	29	science	science	NOUN
fumecheng-5058	248	30	,	,	PUNCT
fumecheng-5058	248	31	104	104	NUM
fumecheng-5058	248	32	,	,	PUNCT
fumecheng-5058	248	33	pp	pp	ADJ
fumecheng-5058	248	34	.	.	PUNCT
fumecheng-5058	249	1	20–33	20–33	NOUN
fumecheng-5058	249	2	.	.	PUNCT
fumecheng-5058	250	1	41	41	NUM
fumecheng-5058	250	2	.	.	PUNCT
fumecheng-5058	251	1	argatov	argatov	PROPN
fumecheng-5058	251	2	,	,	PUNCT
fumecheng-5058	251	3	i.	i.	PROPN
fumecheng-5058	251	4	,	,	PUNCT
fumecheng-5058	251	5	hess	hess	PROPN
fumecheng-5058	251	6	,	,	PUNCT
fumecheng-5058	251	7	m.	m.	NOUN
fumecheng-5058	251	8	,	,	PUNCT
fumecheng-5058	251	9	popov	popov	PROPN
fumecheng-5058	251	10	,	,	PUNCT
fumecheng-5058	251	11	v.l	v.l	PROPN
fumecheng-5058	251	12	.	.	PROPN
fumecheng-5058	251	13	,	,	PUNCT
fumecheng-5058	251	14	2018	2018	NUM
fumecheng-5058	251	15	,	,	PUNCT
fumecheng-5058	251	16	the	the	DET
fumecheng-5058	251	17	extension	extension	NOUN
fumecheng-5058	251	18	of	of	ADP
fumecheng-5058	251	19	the	the	DET
fumecheng-5058	251	20	method	method	NOUN
fumecheng-5058	251	21	of	of	ADP
fumecheng-5058	251	22	dimensionality	dimensionality	NOUN
fumecheng-5058	251	23	reduction	reduction	NOUN
fumecheng-5058	251	24	to	to	ADP
fumecheng-5058	251	25	layered	layered	ADJ
fumecheng-5058	251	26	elastic	elastic	ADJ
fumecheng-5058	251	27	media	medium	NOUN
fumecheng-5058	251	28	,	,	PUNCT
fumecheng-5058	251	29	journal	journal	NOUN
fumecheng-5058	251	30	of	of	ADP
fumecheng-5058	251	31	applied	apply	VERB
fumecheng-5058	251	32	mathematics	mathematic	NOUN
fumecheng-5058	251	33	and	and	CCONJ
fumecheng-5058	251	34	mechanics	mechanic	NOUN
fumecheng-5058	251	35	(	(	PUNCT
fumecheng-5058	251	36	zamm	zamm	PROPN
fumecheng-5058	251	37	)	)	PUNCT
fumecheng-5058	251	38	,	,	PUNCT
fumecheng-5058	251	39	98(4	98(4	NUM
fumecheng-5058	251	40	)	)	PUNCT
fumecheng-5058	251	41	,	,	PUNCT
fumecheng-5058	251	42	pp	pp	ADP
fumecheng-5058	251	43	.	.	PUNCT
fumecheng-5058	252	1	622–634	622–634	NUM
fumecheng-5058	252	2	.	.	PUNCT