id	sid	tid	token	lemma	pos
fumecheng-7527	1	1	7527	7527	NUM
fumecheng-7527	1	2	facta	facta	PROPN
fumecheng-7527	1	3	universitatis	universitatis	PROPN
fumecheng-7527	1	4	series	series	NOUN
fumecheng-7527	1	5	:	:	PUNCT
fumecheng-7527	1	6	mechanical	mechanical	ADJ
fumecheng-7527	1	7	engineering	engineering	NOUN
fumecheng-7527	1	8	vol	vol	NOUN
fumecheng-7527	1	9	.	.	PUNCT
fumecheng-7527	2	1	22	22	NUM
fumecheng-7527	2	2	,	,	PUNCT
fumecheng-7527	2	3	no	no	DET
fumecheng-7527	2	4	3	3	NUM
fumecheng-7527	2	5	,	,	PUNCT
fumecheng-7527	2	6	special	special	ADJ
fumecheng-7527	2	7	issue	issue	NOUN
fumecheng-7527	2	8	,	,	PUNCT
fumecheng-7527	2	9	2024	2024	NUM
fumecheng-7527	2	10	,	,	PUNCT
fumecheng-7527	2	11	pp	pp	ADV
fumecheng-7527	2	12	.	.	PUNCT
fumecheng-7527	3	1	449	449	NUM
fumecheng-7527	3	2	457	457	NUM
fumecheng-7527	3	3	https://doi.org/10.22190/fume210306038w	https://doi.org/10.22190/fume210306038w	NOUN
fumecheng-7527	4	1	©	©	ADP
fumecheng-7527	4	2	2024	2024	NUM
fumecheng-7527	4	3	by	by	ADP
fumecheng-7527	4	4	university	university	PROPN
fumecheng-7527	4	5	of	of	ADP
fumecheng-7527	4	6	niš	niš	PROPN
fumecheng-7527	4	7	,	,	PUNCT
fumecheng-7527	4	8	serbia	serbia	PROPN
fumecheng-7527	4	9	|	|	ADV
fumecheng-7527	4	10	creative	creative	ADJ
fumecheng-7527	4	11	commons	common	NOUN
fumecheng-7527	4	12	license	license	NOUN
fumecheng-7527	4	13	:	:	PUNCT
fumecheng-7527	4	14	cc	cc	VERB
fumecheng-7527	4	15	by	by	ADP
fumecheng-7527	4	16	-	-	PUNCT
fumecheng-7527	4	17	nc	nc	VERB
fumecheng-7527	4	18	-	-	PUNCT
fumecheng-7527	4	19	nd	nd	ADV
fumecheng-7527	4	20	original	original	ADJ
fumecheng-7527	4	21	scientific	scientific	ADJ
fumecheng-7527	4	22	paper	paper	ADJ
fumecheng-7527	4	23	self	self	NOUN
fumecheng-7527	4	24	-	-	PUNCT
fumecheng-7527	4	25	consistency	consistency	NOUN
fumecheng-7527	4	26	conditions	condition	NOUN
fumecheng-7527	4	27	in	in	ADP
fumecheng-7527	4	28	static	static	ADJ
fumecheng-7527	4	29	three	three	NUM
fumecheng-7527	4	30	-	-	PUNCT
fumecheng-7527	4	31	body	body	NOUN
fumecheng-7527	4	32	elastic	elastic	ADJ
fumecheng-7527	4	33	tangential	tangential	ADJ
fumecheng-7527	4	34	contact	contact	NOUN
fumecheng-7527	4	35	emanuel	emanuel	PROPN
fumecheng-7527	4	36	willert	willert	PROPN
fumecheng-7527	4	37	technische	technische	PROPN
fumecheng-7527	4	38	universität	universität	PROPN
fumecheng-7527	4	39	berlin	berlin	PROPN
fumecheng-7527	4	40	,	,	PUNCT
fumecheng-7527	4	41	institute	institute	PROPN
fumecheng-7527	4	42	of	of	ADP
fumecheng-7527	4	43	mechanics	mechanic	NOUN
fumecheng-7527	4	44	,	,	PUNCT
fumecheng-7527	4	45	germany	germany	PROPN
fumecheng-7527	4	46	orcid	orcid	PROPN
fumecheng-7527	5	1	i	i	PROPN
fumecheng-7527	5	2	d	d	PROPN
fumecheng-7527	5	3	:	:	PUNCT
fumecheng-7527	5	4	emanuel	emanuel	PROPN
fumecheng-7527	5	5	willert	willert	PROPN
fumecheng-7527	5	6	https://orcid.org/0000-0001-7535-7301	https://orcid.org/0000-0001-7535-7301	PROPN
fumecheng-7527	5	7	abstract	abstract	PROPN
fumecheng-7527	5	8	.	.	PUNCT
fumecheng-7527	6	1	the	the	DET
fumecheng-7527	6	2	contact	contact	NOUN
fumecheng-7527	6	3	problem	problem	NOUN
fumecheng-7527	6	4	for	for	ADP
fumecheng-7527	6	5	an	an	DET
fumecheng-7527	6	6	elastic	elastic	ADJ
fumecheng-7527	6	7	third	third	ADJ
fumecheng-7527	6	8	-	-	PUNCT
fumecheng-7527	6	9	body	body	NOUN
fumecheng-7527	6	10	particle	particle	NOUN
fumecheng-7527	6	11	between	between	ADP
fumecheng-7527	6	12	two	two	NUM
fumecheng-7527	6	13	elastic	elastic	ADJ
fumecheng-7527	6	14	half	half	ADJ
fumecheng-7527	6	15	-	-	PUNCT
fumecheng-7527	6	16	spaces	space	NOUN
fumecheng-7527	6	17	is	be	AUX
fumecheng-7527	6	18	considered	consider	VERB
fumecheng-7527	6	19	.	.	PUNCT
fumecheng-7527	7	1	the	the	DET
fumecheng-7527	7	2	contact	contact	NOUN
fumecheng-7527	7	3	is	be	AUX
fumecheng-7527	7	4	assumed	assume	VERB
fumecheng-7527	7	5	to	to	PART
fumecheng-7527	7	6	consist	consist	VERB
fumecheng-7527	7	7	of	of	ADP
fumecheng-7527	7	8	three	three	NUM
fumecheng-7527	7	9	hertzian	hertzian	ADJ
fumecheng-7527	7	10	contact	contact	NOUN
fumecheng-7527	7	11	spots	spot	NOUN
fumecheng-7527	7	12	.	.	PUNCT
fumecheng-7527	8	1	the	the	DET
fumecheng-7527	8	2	normal	normal	ADJ
fumecheng-7527	8	3	and	and	CCONJ
fumecheng-7527	8	4	tangential	tangential	ADJ
fumecheng-7527	8	5	contact	contact	NOUN
fumecheng-7527	8	6	problems	problem	NOUN
fumecheng-7527	8	7	are	be	AUX
fumecheng-7527	8	8	analyzed	analyze	VERB
fumecheng-7527	8	9	analytically	analytically	ADV
fumecheng-7527	8	10	considering	consider	VERB
fumecheng-7527	8	11	partial	partial	ADJ
fumecheng-7527	8	12	slip	slip	NOUN
fumecheng-7527	8	13	in	in	ADP
fumecheng-7527	8	14	the	the	DET
fumecheng-7527	8	15	contacts	contact	NOUN
fumecheng-7527	8	16	and	and	CCONJ
fumecheng-7527	8	17	the	the	DET
fumecheng-7527	8	18	influence	influence	NOUN
fumecheng-7527	8	19	of	of	ADP
fumecheng-7527	8	20	third	third	ADJ
fumecheng-7527	8	21	-	-	PUNCT
fumecheng-7527	8	22	body	body	NOUN
fumecheng-7527	8	23	weight	weight	NOUN
fumecheng-7527	8	24	.	.	PUNCT
fumecheng-7527	9	1	selfconsistency	selfconsistency	ADJ
fumecheng-7527	9	2	conditions	condition	NOUN
fumecheng-7527	9	3	between	between	ADP
fumecheng-7527	9	4	global	global	ADJ
fumecheng-7527	9	5	equilibrium	equilibrium	NOUN
fumecheng-7527	9	6	and	and	CCONJ
fumecheng-7527	9	7	the	the	DET
fumecheng-7527	9	8	contact	contact	NOUN
fumecheng-7527	9	9	solution	solution	NOUN
fumecheng-7527	9	10	are	be	AUX
fumecheng-7527	9	11	formulated	formulate	VERB
fumecheng-7527	9	12	to	to	PART
fumecheng-7527	9	13	give	give	VERB
fumecheng-7527	9	14	criteria	criterion	NOUN
fumecheng-7527	9	15	,	,	PUNCT
fumecheng-7527	9	16	under	under	ADP
fumecheng-7527	9	17	which	which	PRON
fumecheng-7527	9	18	circumstances	circumstance	NOUN
fumecheng-7527	9	19	static	static	ADJ
fumecheng-7527	9	20	slip	slip	NOUN
fumecheng-7527	9	21	and	and	CCONJ
fumecheng-7527	9	22	stationary	stationary	ADJ
fumecheng-7527	9	23	sliding	slide	VERB
fumecheng-7527	9	24	are	be	AUX
fumecheng-7527	9	25	possible	possible	ADJ
fumecheng-7527	9	26	states	state	NOUN
fumecheng-7527	9	27	for	for	ADP
fumecheng-7527	9	28	the	the	DET
fumecheng-7527	9	29	third	third	ADJ
fumecheng-7527	9	30	-	-	PUNCT
fumecheng-7527	9	31	body	body	NOUN
fumecheng-7527	9	32	particle	particle	NOUN
fumecheng-7527	9	33	.	.	PUNCT
fumecheng-7527	10	1	the	the	DET
fumecheng-7527	10	2	sliding	slide	VERB
fumecheng-7527	10	3	case	case	NOUN
fumecheng-7527	10	4	is	be	AUX
fumecheng-7527	10	5	solved	solve	VERB
fumecheng-7527	10	6	in	in	ADP
fumecheng-7527	10	7	detail	detail	NOUN
fumecheng-7527	10	8	.	.	PUNCT
fumecheng-7527	11	1	key	key	ADJ
fumecheng-7527	11	2	words	word	NOUN
fumecheng-7527	11	3	:	:	PUNCT
fumecheng-7527	11	4	three	three	NUM
fumecheng-7527	11	5	-	-	PUNCT
fumecheng-7527	11	6	body	body	NOUN
fumecheng-7527	11	7	contact	contact	NOUN
fumecheng-7527	11	8	,	,	PUNCT
fumecheng-7527	11	9	self	self	NOUN
fumecheng-7527	11	10	-	-	PUNCT
fumecheng-7527	11	11	consistent	consistent	ADJ
fumecheng-7527	11	12	sliding	sliding	NOUN
fumecheng-7527	11	13	,	,	PUNCT
fumecheng-7527	11	14	wear	wear	NOUN
fumecheng-7527	11	15	,	,	PUNCT
fumecheng-7527	11	16	hertz	hertz	NOUN
fumecheng-7527	11	17	-	-	PUNCT
fumecheng-7527	11	18	mindlin	mindlin	NOUN
fumecheng-7527	11	19	theory	theory	NOUN
fumecheng-7527	11	20	1	1	NUM
fumecheng-7527	11	21	.	.	PUNCT
fumecheng-7527	11	22	introduction	introduction	NOUN
fumecheng-7527	11	23	the	the	DET
fumecheng-7527	11	24	tribological	tribological	ADJ
fumecheng-7527	11	25	problem	problem	NOUN
fumecheng-7527	11	26	of	of	ADP
fumecheng-7527	11	27	the	the	DET
fumecheng-7527	11	28	third	third	ADJ
fumecheng-7527	11	29	body	body	NOUN
fumecheng-7527	11	30	has	have	AUX
fumecheng-7527	11	31	recently	recently	ADV
fumecheng-7527	11	32	attracted	attract	VERB
fumecheng-7527	11	33	a	a	DET
fumecheng-7527	11	34	lot	lot	NOUN
fumecheng-7527	11	35	of	of	ADP
fumecheng-7527	11	36	scientific	scientific	ADJ
fumecheng-7527	11	37	interest	interest	NOUN
fumecheng-7527	11	38	,	,	PUNCT
fumecheng-7527	11	39	mostly	mostly	ADV
fumecheng-7527	11	40	in	in	ADP
fumecheng-7527	11	41	connection	connection	NOUN
fumecheng-7527	11	42	with	with	ADP
fumecheng-7527	11	43	the	the	DET
fumecheng-7527	11	44	behavior	behavior	NOUN
fumecheng-7527	11	45	and	and	CCONJ
fumecheng-7527	11	46	lifecycle	lifecycle	NOUN
fumecheng-7527	11	47	of	of	ADP
fumecheng-7527	11	48	wear	wear	VERB
fumecheng-7527	11	49	particles	particle	NOUN
fumecheng-7527	11	50	,	,	PUNCT
fumecheng-7527	11	51	whose	whose	DET
fumecheng-7527	11	52	understanding	understanding	NOUN
fumecheng-7527	11	53	plays	play	VERB
fumecheng-7527	11	54	a	a	DET
fumecheng-7527	11	55	critical	critical	ADJ
fumecheng-7527	11	56	role	role	NOUN
fumecheng-7527	11	57	in	in	ADP
fumecheng-7527	11	58	a	a	DET
fumecheng-7527	11	59	better	well	ADJ
fumecheng-7527	11	60	description	description	NOUN
fumecheng-7527	11	61	of	of	ADP
fumecheng-7527	11	62	both	both	CCONJ
fumecheng-7527	11	63	the	the	DET
fumecheng-7527	11	64	wear	wear	NOUN
fumecheng-7527	11	65	process	process	NOUN
fumecheng-7527	11	66	itself	itself	PRON
fumecheng-7527	11	67	as	as	ADV
fumecheng-7527	11	68	well	well	ADV
fumecheng-7527	11	69	as	as	ADP
fumecheng-7527	11	70	the	the	DET
fumecheng-7527	11	71	influence	influence	NOUN
fumecheng-7527	11	72	of	of	ADP
fumecheng-7527	11	73	wear	wear	NOUN
fumecheng-7527	11	74	and	and	CCONJ
fumecheng-7527	11	75	particle	particle	NOUN
fumecheng-7527	11	76	transport	transport	NOUN
fumecheng-7527	11	77	on	on	ADP
fumecheng-7527	11	78	other	other	ADJ
fumecheng-7527	11	79	tribological	tribological	ADJ
fumecheng-7527	11	80	phenomena	phenomenon	NOUN
fumecheng-7527	11	81	in	in	ADP
fumecheng-7527	11	82	mechanical	mechanical	ADJ
fumecheng-7527	11	83	contacts	contact	NOUN
fumecheng-7527	11	84	[	[	X
fumecheng-7527	11	85	1	1	NUM
fumecheng-7527	11	86	]	]	PUNCT
fumecheng-7527	11	87	.	.	PUNCT
fumecheng-7527	12	1	several	several	ADJ
fumecheng-7527	12	2	aspects	aspect	NOUN
fumecheng-7527	12	3	of	of	ADP
fumecheng-7527	12	4	the	the	DET
fumecheng-7527	12	5	three	three	NUM
fumecheng-7527	12	6	-	-	PUNCT
fumecheng-7527	12	7	body	body	NOUN
fumecheng-7527	12	8	problem	problem	NOUN
fumecheng-7527	12	9	have	have	AUX
fumecheng-7527	12	10	been	be	AUX
fumecheng-7527	12	11	analyzed	analyze	VERB
fumecheng-7527	12	12	,	,	PUNCT
fumecheng-7527	12	13	including	include	VERB
fumecheng-7527	12	14	the	the	DET
fumecheng-7527	12	15	formation	formation	NOUN
fumecheng-7527	12	16	of	of	ADP
fumecheng-7527	12	17	wear	wear	VERB
fumecheng-7527	12	18	debris	debris	NOUN
fumecheng-7527	12	19	particles	particle	NOUN
fumecheng-7527	12	20	–	–	PUNCT
fumecheng-7527	12	21	which	which	PRON
fumecheng-7527	12	22	was	be	AUX
fumecheng-7527	12	23	studied	study	VERB
fumecheng-7527	12	24	both	both	PRON
fumecheng-7527	12	25	experimentally	experimentally	ADV
fumecheng-7527	12	26	[	[	X
fumecheng-7527	12	27	2	2	NUM
fumecheng-7527	12	28	]	]	PUNCT
fumecheng-7527	12	29	and	and	CCONJ
fumecheng-7527	12	30	numerically	numerically	ADV
fumecheng-7527	12	31	[	[	X
fumecheng-7527	12	32	3	3	NUM
fumecheng-7527	12	33	]	]	PUNCT
fumecheng-7527	12	34	–	–	PUNCT
fumecheng-7527	12	35	as	as	ADV
fumecheng-7527	12	36	well	well	ADV
fumecheng-7527	12	37	as	as	ADP
fumecheng-7527	12	38	their	their	PRON
fumecheng-7527	12	39	kinetics	kinetic	NOUN
fumecheng-7527	12	40	[	[	X
fumecheng-7527	12	41	4	4	NUM
fumecheng-7527	12	42	]	]	PUNCT
fumecheng-7527	12	43	.	.	PUNCT
fumecheng-7527	13	1	it	it	PRON
fumecheng-7527	13	2	was	be	AUX
fumecheng-7527	13	3	also	also	ADV
fumecheng-7527	13	4	shown	show	VERB
fumecheng-7527	13	5	that	that	SCONJ
fumecheng-7527	13	6	the	the	DET
fumecheng-7527	13	7	thirdbody	thirdbody	NOUN
fumecheng-7527	13	8	dynamics	dynamic	NOUN
fumecheng-7527	13	9	can	can	AUX
fumecheng-7527	13	10	have	have	VERB
fumecheng-7527	13	11	a	a	DET
fumecheng-7527	13	12	massive	massive	ADJ
fumecheng-7527	13	13	influence	influence	NOUN
fumecheng-7527	13	14	on	on	ADP
fumecheng-7527	13	15	the	the	DET
fumecheng-7527	13	16	frictional	frictional	ADJ
fumecheng-7527	13	17	or	or	CCONJ
fumecheng-7527	13	18	other	other	ADJ
fumecheng-7527	13	19	contact	contact	NOUN
fumecheng-7527	13	20	mechanical	mechanical	ADJ
fumecheng-7527	13	21	properties	property	NOUN
fumecheng-7527	13	22	of	of	ADP
fumecheng-7527	13	23	a	a	DET
fumecheng-7527	13	24	tribological	tribological	ADJ
fumecheng-7527	13	25	system	system	NOUN
fumecheng-7527	13	26	[	[	X
fumecheng-7527	13	27	5	5	NUM
fumecheng-7527	13	28	-	-	SYM
fumecheng-7527	13	29	7	7	NUM
fumecheng-7527	13	30	]	]	PUNCT
fumecheng-7527	13	31	and	and	CCONJ
fumecheng-7527	13	32	that	that	PRON
fumecheng-7527	13	33	vice	vice	NOUN
fumecheng-7527	13	34	versa	versa	NOUN
fumecheng-7527	13	35	contact	contact	NOUN
fumecheng-7527	13	36	properties	property	NOUN
fumecheng-7527	13	37	like	like	ADP
fumecheng-7527	13	38	loading	loading	NOUN
fumecheng-7527	13	39	forces	force	NOUN
fumecheng-7527	13	40	influence	influence	VERB
fumecheng-7527	13	41	the	the	DET
fumecheng-7527	13	42	mode	mode	NOUN
fumecheng-7527	13	43	of	of	ADP
fumecheng-7527	13	44	motion	motion	NOUN
fumecheng-7527	13	45	(	(	PUNCT
fumecheng-7527	13	46	sliding	slide	VERB
fumecheng-7527	13	47	or	or	CCONJ
fumecheng-7527	13	48	rolling	rolling	ADJ
fumecheng-7527	13	49	)	)	PUNCT
fumecheng-7527	13	50	of	of	ADP
fumecheng-7527	13	51	the	the	DET
fumecheng-7527	13	52	wear	wear	NOUN
fumecheng-7527	13	53	debris	debris	NOUN
fumecheng-7527	13	54	particle	particle	NOUN
fumecheng-7527	13	55	[	[	X
fumecheng-7527	13	56	8	8	NUM
fumecheng-7527	13	57	]	]	PUNCT
fumecheng-7527	13	58	.	.	PUNCT
fumecheng-7527	14	1	while	while	SCONJ
fumecheng-7527	14	2	quite	quite	DET
fumecheng-7527	14	3	some	some	DET
fumecheng-7527	14	4	research	research	NOUN
fumecheng-7527	14	5	has	have	AUX
fumecheng-7527	14	6	been	be	AUX
fumecheng-7527	14	7	done	do	VERB
fumecheng-7527	14	8	on	on	ADP
fumecheng-7527	14	9	the	the	DET
fumecheng-7527	14	10	wear	wear	NOUN
fumecheng-7527	14	11	and	and	CCONJ
fumecheng-7527	14	12	flow	flow	NOUN
fumecheng-7527	14	13	behavior	behavior	NOUN
fumecheng-7527	14	14	of	of	ADP
fumecheng-7527	14	15	the	the	DET
fumecheng-7527	14	16	debris	debris	NOUN
fumecheng-7527	14	17	particles	particle	NOUN
fumecheng-7527	14	18	,	,	PUNCT
fumecheng-7527	14	19	e.g.	e.g.	ADV
fumecheng-7527	14	20	,	,	PUNCT
fumecheng-7527	14	21	based	base	VERB
fumecheng-7527	14	22	on	on	ADP
fumecheng-7527	14	23	monte	monte	PROPN
fumecheng-7527	14	24	carlo	carlo	PROPN
fumecheng-7527	14	25	methods	method	NOUN
fumecheng-7527	14	26	[	[	X
fumecheng-7527	14	27	9	9	NUM
fumecheng-7527	14	28	]	]	PUNCT
fumecheng-7527	14	29	or	or	CCONJ
fumecheng-7527	14	30	cellular	cellular	ADJ
fumecheng-7527	14	31	automata	automata	NOUN
fumecheng-7527	14	32	[	[	X
fumecheng-7527	14	33	10	10	NUM
fumecheng-7527	14	34	]	]	PUNCT
fumecheng-7527	14	35	,	,	PUNCT
fumecheng-7527	14	36	there	there	PRON
fumecheng-7527	14	37	are	be	VERB
fumecheng-7527	14	38	hitherto	hitherto	NOUN
fumecheng-7527	14	39	very	very	ADV
fumecheng-7527	14	40	few	few	ADJ
fumecheng-7527	14	41	works	work	NOUN
fumecheng-7527	14	42	on	on	ADP
fumecheng-7527	14	43	the	the	DET
fumecheng-7527	14	44	three	three	NUM
fumecheng-7527	14	45	-	-	PUNCT
fumecheng-7527	14	46	body	body	NOUN
fumecheng-7527	14	47	system	system	NOUN
fumecheng-7527	14	48	as	as	ADP
fumecheng-7527	14	49	a	a	DET
fumecheng-7527	14	50	contact	contact	NOUN
fumecheng-7527	14	51	mechanical	mechanical	ADJ
fumecheng-7527	14	52	problem	problem	NOUN
fumecheng-7527	14	53	(	(	PUNCT
fumecheng-7527	14	54	which	which	PRON
fumecheng-7527	14	55	it	it	PRON
fumecheng-7527	14	56	obviously	obviously	ADV
fumecheng-7527	14	57	is	be	AUX
fumecheng-7527	14	58	)	)	PUNCT
fumecheng-7527	14	59	.	.	PUNCT
fumecheng-7527	15	1	li	li	PROPN
fumecheng-7527	16	1	[	[	X
fumecheng-7527	16	2	11	11	NUM
fumecheng-7527	16	3	]	]	PUNCT
fumecheng-7527	16	4	analyzed	analyze	VERB
fumecheng-7527	16	5	the	the	DET
fumecheng-7527	16	6	elastic	elastic	ADJ
fumecheng-7527	16	7	three	three	NUM
fumecheng-7527	16	8	-	-	PUNCT
fumecheng-7527	16	9	body	body	NOUN
fumecheng-7527	16	10	contact	contact	NOUN
fumecheng-7527	16	11	problem	problem	NOUN
fumecheng-7527	16	12	based	base	VERB
fumecheng-7527	16	13	on	on	ADP
fumecheng-7527	16	14	the	the	DET
fumecheng-7527	16	15	boundary	boundary	ADJ
fumecheng-7527	16	16	element	element	NOUN
fumecheng-7527	16	17	method	method	NOUN
fumecheng-7527	16	18	,	,	PUNCT
fumecheng-7527	16	19	using	use	VERB
fumecheng-7527	16	20	a	a	DET
fumecheng-7527	16	21	starting	starting	NOUN
fumecheng-7527	16	22	configuration	configuration	NOUN
fumecheng-7527	16	23	with	with	ADP
fumecheng-7527	16	24	only	only	ADV
fumecheng-7527	16	25	one	one	NUM
fumecheng-7527	16	26	contact	contact	NOUN
fumecheng-7527	16	27	spot	spot	NOUN
fumecheng-7527	16	28	on	on	ADP
fumecheng-7527	16	29	each	each	PRON
fumecheng-7527	16	30	of	of	ADP
fumecheng-7527	16	31	the	the	DET
fumecheng-7527	16	32	first	first	ADJ
fumecheng-7527	16	33	bodies	body	NOUN
fumecheng-7527	16	34	,	,	PUNCT
fumecheng-7527	16	35	which	which	PRON
fumecheng-7527	16	36	at	at	ADP
fumecheng-7527	16	37	some	some	DET
fumecheng-7527	16	38	threshold	threshold	NOUN
fumecheng-7527	16	39	will	will	AUX
fumecheng-7527	16	40	result	result	VERB
fumecheng-7527	16	41	in	in	ADP
fumecheng-7527	16	42	rolling	rolling	NOUN
fumecheng-7527	16	43	of	of	ADP
fumecheng-7527	16	44	the	the	DET
fumecheng-7527	16	45	third	third	ADJ
fumecheng-7527	16	46	body	body	NOUN
fumecheng-7527	16	47	,	,	PUNCT
fumecheng-7527	16	48	received	receive	VERB
fumecheng-7527	16	49	march	march	PROPN
fumecheng-7527	16	50	06	06	NUM
fumecheng-7527	16	51	,	,	PUNCT
fumecheng-7527	16	52	2021	2021	NUM
fumecheng-7527	16	53	/	/	SYM
fumecheng-7527	16	54	accepted	accept	VERB
fumecheng-7527	16	55	april	april	PROPN
fumecheng-7527	16	56	27	27	NUM
fumecheng-7527	16	57	,	,	PUNCT
fumecheng-7527	16	58	2021	2021	NUM
fumecheng-7527	16	59	corresponding	correspond	VERB
fumecheng-7527	16	60	author	author	NOUN
fumecheng-7527	16	61	:	:	PUNCT
fumecheng-7527	16	62	willert	willert	PROPN
fumecheng-7527	16	63	emanuel	emanuel	PROPN
fumecheng-7527	16	64	technische	technische	PROPN
fumecheng-7527	16	65	universität	universität	PROPN
fumecheng-7527	16	66	berlin	berlin	PROPN
fumecheng-7527	16	67	,	,	PUNCT
fumecheng-7527	16	68	institut	institut	PROPN
fumecheng-7527	16	69	für	für	PROPN
fumecheng-7527	16	70	mechanik	mechanik	PROPN
fumecheng-7527	16	71	,	,	PUNCT
fumecheng-7527	16	72	sekr	sekr	PROPN
fumecheng-7527	16	73	.	.	PUNCT
fumecheng-7527	17	1	c8	c8	PROPN
fumecheng-7527	17	2	-	-	PUNCT
fumecheng-7527	17	3	4	4	PROPN
fumecheng-7527	17	4	,	,	PUNCT
fumecheng-7527	17	5	straße	straße	NOUN
fumecheng-7527	17	6	des	des	PROPN
fumecheng-7527	17	7	17	17	NUM
fumecheng-7527	17	8	.	.	PUNCT
fumecheng-7527	18	1	juni	juni	PROPN
fumecheng-7527	18	2	135	135	NUM
fumecheng-7527	18	3	,	,	PUNCT
fumecheng-7527	18	4	10623	10623	NUM
fumecheng-7527	18	5	berlin	berlin	PROPN
fumecheng-7527	18	6	e	e	PROPN
fumecheng-7527	18	7	-	-	NOUN
fumecheng-7527	18	8	mail	mail	NOUN
fumecheng-7527	18	9	:	:	PUNCT
fumecheng-7527	18	10	e.willert@tu-berlin.de	e.willert@tu-berlin.de	NUM
fumecheng-7527	18	11	https://orcid.org/0000-0001-7535-7301	https://orcid.org/0000-0001-7535-7301	PROPN
fumecheng-7527	18	12	450	450	NUM
fumecheng-7527	18	13	e.	e.	PROPN
fumecheng-7527	18	14	willert	willert	PROPN
fumecheng-7527	18	15	because	because	SCONJ
fumecheng-7527	18	16	of	of	ADP
fumecheng-7527	18	17	the	the	DET
fumecheng-7527	18	18	kinematic	kinematic	ADJ
fumecheng-7527	18	19	indeterminateness	indeterminateness	NOUN
fumecheng-7527	18	20	of	of	ADP
fumecheng-7527	18	21	a	a	DET
fumecheng-7527	18	22	two	two	NUM
fumecheng-7527	18	23	-	-	PUNCT
fumecheng-7527	18	24	point	point	NOUN
fumecheng-7527	18	25	fixation	fixation	NOUN
fumecheng-7527	18	26	.	.	PUNCT
fumecheng-7527	19	1	an	an	DET
fumecheng-7527	19	2	analytic	analytic	ADJ
fumecheng-7527	19	3	,	,	PUNCT
fumecheng-7527	19	4	easy	easy	ADJ
fumecheng-7527	19	5	-	-	PUNCT
fumecheng-7527	19	6	touse	touse	NOUN
fumecheng-7527	19	7	contact	contact	NOUN
fumecheng-7527	19	8	theory	theory	NOUN
fumecheng-7527	19	9	of	of	ADP
fumecheng-7527	19	10	the	the	DET
fumecheng-7527	19	11	three	three	NUM
fumecheng-7527	19	12	-	-	PUNCT
fumecheng-7527	19	13	body	body	NOUN
fumecheng-7527	19	14	problem	problem	NOUN
fumecheng-7527	19	15	,	,	PUNCT
fumecheng-7527	19	16	that	that	PRON
fumecheng-7527	19	17	might	might	AUX
fumecheng-7527	19	18	be	be	AUX
fumecheng-7527	19	19	very	very	ADV
fumecheng-7527	19	20	useful	useful	ADJ
fumecheng-7527	19	21	for	for	ADP
fumecheng-7527	19	22	practitioners	practitioner	NOUN
fumecheng-7527	19	23	or	or	CCONJ
fumecheng-7527	19	24	industrial	industrial	ADJ
fumecheng-7527	19	25	applicants	applicant	NOUN
fumecheng-7527	19	26	,	,	PUNCT
fumecheng-7527	19	27	to	to	ADP
fumecheng-7527	19	28	the	the	DET
fumecheng-7527	19	29	best	good	ADJ
fumecheng-7527	19	30	the	the	DET
fumecheng-7527	19	31	author	author	NOUN
fumecheng-7527	19	32	’s	’s	PART
fumecheng-7527	19	33	knowledge	knowledge	NOUN
fumecheng-7527	19	34	,	,	PUNCT
fumecheng-7527	19	35	is	be	AUX
fumecheng-7527	19	36	lacking	lack	VERB
fumecheng-7527	19	37	completely	completely	ADV
fumecheng-7527	19	38	.	.	PUNCT
fumecheng-7527	20	1	whereas	whereas	SCONJ
fumecheng-7527	20	2	a	a	DET
fumecheng-7527	20	3	(	(	PUNCT
fumecheng-7527	20	4	more	more	ADJ
fumecheng-7527	20	5	or	or	CCONJ
fumecheng-7527	20	6	less	less	ADJ
fumecheng-7527	20	7	)	)	PUNCT
fumecheng-7527	20	8	spherical	spherical	ADJ
fumecheng-7527	20	9	particle	particle	NOUN
fumecheng-7527	20	10	between	between	ADP
fumecheng-7527	20	11	two	two	NUM
fumecheng-7527	20	12	surfaces	surface	NOUN
fumecheng-7527	20	13	,	,	PUNCT
fumecheng-7527	20	14	that	that	PRON
fumecheng-7527	20	15	are	be	AUX
fumecheng-7527	20	16	moved	move	VERB
fumecheng-7527	20	17	tangentially	tangentially	ADV
fumecheng-7527	20	18	relative	relative	ADJ
fumecheng-7527	20	19	to	to	ADP
fumecheng-7527	20	20	one	one	NUM
fumecheng-7527	20	21	another	another	DET
fumecheng-7527	20	22	,	,	PUNCT
fumecheng-7527	20	23	will	will	AUX
fumecheng-7527	20	24	usually	usually	ADV
fumecheng-7527	20	25	simply	simply	ADV
fumecheng-7527	20	26	roll	roll	VERB
fumecheng-7527	20	27	,	,	PUNCT
fumecheng-7527	20	28	this	this	PRON
fumecheng-7527	20	29	may	may	AUX
fumecheng-7527	20	30	not	not	PART
fumecheng-7527	20	31	be	be	AUX
fumecheng-7527	20	32	so	so	ADV
fumecheng-7527	20	33	easy	easy	ADJ
fumecheng-7527	20	34	for	for	ADP
fumecheng-7527	20	35	a	a	DET
fumecheng-7527	20	36	third	third	ADJ
fumecheng-7527	20	37	body	body	NOUN
fumecheng-7527	20	38	of	of	ADP
fumecheng-7527	20	39	irregular	irregular	ADJ
fumecheng-7527	20	40	shape	shape	NOUN
fumecheng-7527	20	41	.	.	PUNCT
fumecheng-7527	21	1	from	from	ADP
fumecheng-7527	21	2	experience	experience	NOUN
fumecheng-7527	21	3	we	we	PRON
fumecheng-7527	21	4	know	know	VERB
fumecheng-7527	21	5	that	that	SCONJ
fumecheng-7527	21	6	it	it	PRON
fumecheng-7527	21	7	will	will	AUX
fumecheng-7527	21	8	make	make	VERB
fumecheng-7527	21	9	a	a	DET
fumecheng-7527	21	10	big	big	ADJ
fumecheng-7527	21	11	difference	difference	NOUN
fumecheng-7527	21	12	for	for	ADP
fumecheng-7527	21	13	the	the	DET
fumecheng-7527	21	14	apparent	apparent	ADJ
fumecheng-7527	21	15	macroscopic	macroscopic	ADJ
fumecheng-7527	21	16	friction	friction	NOUN
fumecheng-7527	21	17	between	between	ADP
fumecheng-7527	21	18	the	the	DET
fumecheng-7527	21	19	first	first	ADJ
fumecheng-7527	21	20	bodies	body	NOUN
fumecheng-7527	21	21	,	,	PUNCT
fumecheng-7527	21	22	whether	whether	SCONJ
fumecheng-7527	21	23	the	the	DET
fumecheng-7527	21	24	third	third	ADJ
fumecheng-7527	21	25	-	-	PUNCT
fumecheng-7527	21	26	body	body	NOUN
fumecheng-7527	21	27	particle	particle	NOUN
fumecheng-7527	21	28	between	between	ADP
fumecheng-7527	21	29	them	they	PRON
fumecheng-7527	21	30	will	will	AUX
fumecheng-7527	21	31	roll	roll	VERB
fumecheng-7527	21	32	or	or	CCONJ
fumecheng-7527	21	33	slide	slide	NOUN
fumecheng-7527	21	34	.	.	PUNCT
fumecheng-7527	22	1	in	in	ADP
fumecheng-7527	22	2	this	this	DET
fumecheng-7527	22	3	context	context	NOUN
fumecheng-7527	22	4	it	it	PRON
fumecheng-7527	22	5	is	be	AUX
fumecheng-7527	22	6	an	an	DET
fumecheng-7527	22	7	interesting	interesting	ADJ
fumecheng-7527	22	8	question	question	NOUN
fumecheng-7527	22	9	whether	whether	SCONJ
fumecheng-7527	22	10	static	static	ADJ
fumecheng-7527	22	11	slip	slip	NOUN
fumecheng-7527	22	12	or	or	CCONJ
fumecheng-7527	22	13	stationary	stationary	ADJ
fumecheng-7527	22	14	sliding	slide	VERB
fumecheng-7527	22	15	are	be	AUX
fumecheng-7527	22	16	possible	possible	ADJ
fumecheng-7527	22	17	states	state	NOUN
fumecheng-7527	22	18	for	for	ADP
fumecheng-7527	22	19	the	the	DET
fumecheng-7527	22	20	particle	particle	NOUN
fumecheng-7527	22	21	.	.	PUNCT
fumecheng-7527	23	1	in	in	ADP
fumecheng-7527	23	2	a	a	DET
fumecheng-7527	23	3	recent	recent	ADJ
fumecheng-7527	23	4	work	work	NOUN
fumecheng-7527	23	5	it	it	PRON
fumecheng-7527	23	6	was	be	AUX
fumecheng-7527	23	7	shown	show	VERB
fumecheng-7527	23	8	analytically	analytically	ADV
fumecheng-7527	23	9	that	that	SCONJ
fumecheng-7527	23	10	that	that	SCONJ
fumecheng-7527	23	11	the	the	DET
fumecheng-7527	23	12	same	same	ADJ
fumecheng-7527	23	13	third	third	ADJ
fumecheng-7527	23	14	-	-	PUNCT
fumecheng-7527	23	15	body	body	NOUN
fumecheng-7527	23	16	particle	particle	NOUN
fumecheng-7527	23	17	can	can	AUX
fumecheng-7527	23	18	both	both	CCONJ
fumecheng-7527	23	19	slide	slide	VERB
fumecheng-7527	23	20	and	and	CCONJ
fumecheng-7527	23	21	roll	roll	VERB
fumecheng-7527	23	22	for	for	ADP
fumecheng-7527	23	23	a	a	DET
fumecheng-7527	23	24	given	give	VERB
fumecheng-7527	23	25	coefficient	coefficient	NOUN
fumecheng-7527	23	26	of	of	ADP
fumecheng-7527	23	27	friction	friction	NOUN
fumecheng-7527	23	28	,	,	PUNCT
fumecheng-7527	23	29	depending	depend	VERB
fumecheng-7527	23	30	on	on	ADP
fumecheng-7527	23	31	the	the	DET
fumecheng-7527	23	32	particle	particle	NOUN
fumecheng-7527	23	33	’s	’s	PART
fumecheng-7527	23	34	geometry	geometry	NOUN
fumecheng-7527	23	35	and	and	CCONJ
fumecheng-7527	23	36	orientation	orientation	NOUN
fumecheng-7527	23	37	[	[	X
fumecheng-7527	23	38	12	12	NUM
fumecheng-7527	23	39	]	]	PUNCT
fumecheng-7527	23	40	.	.	PUNCT
fumecheng-7527	24	1	thus	thus	ADV
fumecheng-7527	24	2	,	,	PUNCT
fumecheng-7527	24	3	in	in	ADP
fumecheng-7527	24	4	the	the	DET
fumecheng-7527	24	5	present	present	ADJ
fumecheng-7527	24	6	manuscript	manuscript	NOUN
fumecheng-7527	24	7	,	,	PUNCT
fumecheng-7527	24	8	the	the	DET
fumecheng-7527	24	9	problem	problem	NOUN
fumecheng-7527	24	10	of	of	ADP
fumecheng-7527	24	11	self	self	NOUN
fumecheng-7527	24	12	-	-	PUNCT
fumecheng-7527	24	13	consistency	consistency	NOUN
fumecheng-7527	24	14	for	for	ADP
fumecheng-7527	24	15	static	static	ADJ
fumecheng-7527	24	16	slip	slip	NOUN
fumecheng-7527	24	17	or	or	CCONJ
fumecheng-7527	24	18	stationary	stationary	NOUN
fumecheng-7527	24	19	sliding	slide	VERB
fumecheng-7527	24	20	of	of	ADP
fumecheng-7527	24	21	the	the	DET
fumecheng-7527	24	22	third	third	ADJ
fumecheng-7527	24	23	body	body	NOUN
fumecheng-7527	24	24	will	will	AUX
fumecheng-7527	24	25	be	be	AUX
fumecheng-7527	24	26	investigated	investigate	VERB
fumecheng-7527	24	27	in	in	ADP
fumecheng-7527	24	28	analytic	analytic	ADJ
fumecheng-7527	24	29	fashion	fashion	NOUN
fumecheng-7527	24	30	,	,	PUNCT
fumecheng-7527	24	31	based	base	VERB
fumecheng-7527	24	32	on	on	ADP
fumecheng-7527	24	33	a	a	DET
fumecheng-7527	24	34	hertz	hertz	NOUN
fumecheng-7527	24	35	-	-	PUNCT
fumecheng-7527	24	36	mindlin	mindlin	NOUN
fumecheng-7527	24	37	formulation	formulation	NOUN
fumecheng-7527	24	38	of	of	ADP
fumecheng-7527	24	39	the	the	DET
fumecheng-7527	24	40	three	three	NUM
fumecheng-7527	24	41	-	-	PUNCT
fumecheng-7527	24	42	body	body	NOUN
fumecheng-7527	24	43	contact	contact	NOUN
fumecheng-7527	24	44	problem	problem	NOUN
fumecheng-7527	24	45	.	.	PUNCT
fumecheng-7527	25	1	note	note	VERB
fumecheng-7527	25	2	that	that	SCONJ
fumecheng-7527	25	3	the	the	DET
fumecheng-7527	25	4	manuscript	manuscript	NOUN
fumecheng-7527	25	5	question	question	NOUN
fumecheng-7527	25	6	is	be	AUX
fumecheng-7527	25	7	basically	basically	ADV
fumecheng-7527	25	8	whether	whether	SCONJ
fumecheng-7527	25	9	and	and	CCONJ
fumecheng-7527	25	10	how	how	SCONJ
fumecheng-7527	25	11	non	non	ADJ
fumecheng-7527	25	12	-	-	ADJ
fumecheng-7527	25	13	rolling	rolling	ADJ
fumecheng-7527	25	14	configurations	configuration	NOUN
fumecheng-7527	25	15	are	be	AUX
fumecheng-7527	25	16	possible	possible	ADJ
fumecheng-7527	25	17	for	for	ADP
fumecheng-7527	25	18	the	the	DET
fumecheng-7527	25	19	third	third	ADJ
fumecheng-7527	25	20	-	-	PUNCT
fumecheng-7527	25	21	body	body	NOUN
fumecheng-7527	25	22	particle	particle	NOUN
fumecheng-7527	25	23	.	.	PUNCT
fumecheng-7527	26	1	so	so	ADV
fumecheng-7527	26	2	,	,	PUNCT
fumecheng-7527	26	3	effects	effect	NOUN
fumecheng-7527	26	4	of	of	ADP
fumecheng-7527	26	5	rolling	rolling	NOUN
fumecheng-7527	26	6	are	be	AUX
fumecheng-7527	26	7	always	always	ADV
fumecheng-7527	26	8	excluded	exclude	VERB
fumecheng-7527	26	9	from	from	ADP
fumecheng-7527	26	10	the	the	DET
fumecheng-7527	26	11	analysis	analysis	NOUN
fumecheng-7527	26	12	.	.	PUNCT
fumecheng-7527	27	1	2	2	X
fumecheng-7527	27	2	.	.	X
fumecheng-7527	27	3	global	global	ADJ
fumecheng-7527	27	4	equilibrium	equilibrium	NOUN
fumecheng-7527	27	5	conditions	condition	NOUN
fumecheng-7527	27	6	let	let	VERB
fumecheng-7527	27	7	us	we	PRON
fumecheng-7527	27	8	consider	consider	VERB
fumecheng-7527	27	9	the	the	DET
fumecheng-7527	27	10	2d	2d	NOUN
fumecheng-7527	27	11	-	-	PUNCT
fumecheng-7527	27	12	model	model	NOUN
fumecheng-7527	27	13	of	of	ADP
fumecheng-7527	27	14	an	an	DET
fumecheng-7527	27	15	elastic	elastic	ADJ
fumecheng-7527	27	16	third	third	ADJ
fumecheng-7527	27	17	-	-	PUNCT
fumecheng-7527	27	18	body	body	NOUN
fumecheng-7527	27	19	particle	particle	NOUN
fumecheng-7527	27	20	of	of	ADP
fumecheng-7527	27	21	some	some	DET
fumecheng-7527	27	22	irregular	irregular	ADJ
fumecheng-7527	27	23	shape	shape	NOUN
fumecheng-7527	27	24	between	between	ADP
fumecheng-7527	27	25	two	two	NUM
fumecheng-7527	27	26	elastic	elastic	ADJ
fumecheng-7527	27	27	half	half	ADJ
fumecheng-7527	27	28	-	-	PUNCT
fumecheng-7527	27	29	spaces	space	NOUN
fumecheng-7527	27	30	,	,	PUNCT
fumecheng-7527	27	31	as	as	SCONJ
fumecheng-7527	27	32	shown	show	VERB
fumecheng-7527	27	33	in	in	ADP
fumecheng-7527	27	34	fig	fig	NOUN
fumecheng-7527	27	35	.	.	PUNCT
fumecheng-7527	28	1	1	1	X
fumecheng-7527	28	2	.	.	X
fumecheng-7527	28	3	for	for	ADP
fumecheng-7527	28	4	static	static	ADJ
fumecheng-7527	28	5	determinateness	determinateness	NOUN
fumecheng-7527	28	6	let	let	VERB
fumecheng-7527	28	7	there	there	PRON
fumecheng-7527	28	8	be	be	AUX
fumecheng-7527	28	9	three	three	NUM
fumecheng-7527	28	10	(	(	PUNCT
fumecheng-7527	28	11	axisymmetric	axisymmetric	ADJ
fumecheng-7527	28	12	)	)	PUNCT
fumecheng-7527	28	13	hertzian	hertzian	ADJ
fumecheng-7527	28	14	contact	contact	NOUN
fumecheng-7527	28	15	spots	spot	NOUN
fumecheng-7527	28	16	,	,	PUNCT
fumecheng-7527	28	17	where	where	SCONJ
fumecheng-7527	28	18	the	the	DET
fumecheng-7527	28	19	particle	particle	NOUN
fumecheng-7527	28	20	in	in	ADP
fumecheng-7527	28	21	the	the	DET
fumecheng-7527	28	22	vicinity	vicinity	NOUN
fumecheng-7527	28	23	of	of	ADP
fumecheng-7527	28	24	the	the	DET
fumecheng-7527	28	25	contact	contact	NOUN
fumecheng-7527	28	26	has	have	VERB
fumecheng-7527	28	27	radii	radius	NOUN
fumecheng-7527	28	28	of	of	ADP
fumecheng-7527	28	29	curvature	curvature	NOUN
fumecheng-7527	28	30	ri	ri	PROPN
fumecheng-7527	28	31	,	,	PUNCT
fumecheng-7527	28	32	i	i	NOUN
fumecheng-7527	28	33	=	=	NOUN
fumecheng-7527	29	1	1,2,3	1,2,3	X
fumecheng-7527	29	2	.	.	PUNCT
fumecheng-7527	30	1	in	in	ADP
fumecheng-7527	30	2	the	the	DET
fumecheng-7527	30	3	general	general	ADJ
fumecheng-7527	30	4	3d	3d	NUM
fumecheng-7527	30	5	case	case	NOUN
fumecheng-7527	30	6	,	,	PUNCT
fumecheng-7527	30	7	there	there	PRON
fumecheng-7527	30	8	should	should	AUX
fumecheng-7527	30	9	also	also	ADV
fumecheng-7527	30	10	be	be	AUX
fumecheng-7527	30	11	contact	contact	NOUN
fumecheng-7527	30	12	spots	spot	NOUN
fumecheng-7527	30	13	in	in	ADP
fumecheng-7527	30	14	the	the	DET
fumecheng-7527	30	15	lateral	lateral	ADJ
fumecheng-7527	30	16	direction	direction	NOUN
fumecheng-7527	30	17	(	(	PUNCT
fumecheng-7527	30	18	outside	outside	ADP
fumecheng-7527	30	19	the	the	DET
fumecheng-7527	30	20	plane	plane	NOUN
fumecheng-7527	30	21	shown	show	VERB
fumecheng-7527	30	22	in	in	ADP
fumecheng-7527	30	23	fig	fig	NOUN
fumecheng-7527	30	24	.	.	PUNCT
fumecheng-7527	31	1	1	1	NUM
fumecheng-7527	31	2	)	)	PUNCT
fumecheng-7527	31	3	,	,	PUNCT
fumecheng-7527	31	4	to	to	PART
fumecheng-7527	31	5	ensure	ensure	VERB
fumecheng-7527	31	6	lateral	lateral	ADJ
fumecheng-7527	31	7	stability	stability	NOUN
fumecheng-7527	31	8	during	during	ADP
fumecheng-7527	31	9	tangential	tangential	ADJ
fumecheng-7527	31	10	motion	motion	NOUN
fumecheng-7527	31	11	,	,	PUNCT
fumecheng-7527	31	12	but	but	CCONJ
fumecheng-7527	31	13	this	this	PRON
fumecheng-7527	31	14	will	will	AUX
fumecheng-7527	31	15	be	be	AUX
fumecheng-7527	31	16	neglected	neglect	VERB
fumecheng-7527	31	17	in	in	ADP
fumecheng-7527	31	18	the	the	DET
fumecheng-7527	31	19	following	follow	VERB
fumecheng-7527	31	20	analysis	analysis	NOUN
fumecheng-7527	31	21	.	.	PUNCT
fumecheng-7527	32	1	as	as	SCONJ
fumecheng-7527	32	2	the	the	DET
fumecheng-7527	32	3	lateral	lateral	ADJ
fumecheng-7527	32	4	positions	position	NOUN
fumecheng-7527	32	5	of	of	ADP
fumecheng-7527	32	6	the	the	DET
fumecheng-7527	32	7	contact	contact	NOUN
fumecheng-7527	32	8	spots	spot	NOUN
fumecheng-7527	32	9	do	do	AUX
fumecheng-7527	32	10	not	not	PART
fumecheng-7527	32	11	enter	enter	VERB
fumecheng-7527	32	12	the	the	DET
fumecheng-7527	32	13	following	follow	VERB
fumecheng-7527	32	14	equations	equation	NOUN
fumecheng-7527	32	15	,	,	PUNCT
fumecheng-7527	32	16	the	the	DET
fumecheng-7527	32	17	results	result	NOUN
fumecheng-7527	32	18	can	can	AUX
fumecheng-7527	32	19	be	be	AUX
fumecheng-7527	32	20	applied	apply	VERB
fumecheng-7527	32	21	directly	directly	ADV
fumecheng-7527	32	22	to	to	ADP
fumecheng-7527	32	23	the	the	DET
fumecheng-7527	32	24	3d	3d	NUM
fumecheng-7527	32	25	case	case	NOUN
fumecheng-7527	32	26	,	,	PUNCT
fumecheng-7527	32	27	if	if	SCONJ
fumecheng-7527	32	28	the	the	DET
fumecheng-7527	32	29	number	number	NOUN
fumecheng-7527	32	30	of	of	ADP
fumecheng-7527	32	31	contact	contact	NOUN
fumecheng-7527	32	32	spots	spot	NOUN
fumecheng-7527	32	33	is	be	AUX
fumecheng-7527	32	34	adjusted	adjust	VERB
fumecheng-7527	32	35	appropriately	appropriately	ADV
fumecheng-7527	32	36	.	.	PUNCT
fumecheng-7527	33	1	the	the	DET
fumecheng-7527	33	2	gap	gap	NOUN
fumecheng-7527	33	3	height	height	NOUN
fumecheng-7527	33	4	without	without	ADP
fumecheng-7527	33	5	any	any	DET
fumecheng-7527	33	6	loads	load	NOUN
fumecheng-7527	33	7	between	between	ADP
fumecheng-7527	33	8	the	the	DET
fumecheng-7527	33	9	half	half	ADJ
fumecheng-7527	33	10	-	-	PUNCT
fumecheng-7527	33	11	spaces	space	NOUN
fumecheng-7527	33	12	is	be	AUX
fumecheng-7527	33	13	h0	h0	PROPN
fumecheng-7527	33	14	.	.	PROPN
fumecheng-7527	33	15	fig	fig	PROPN
fumecheng-7527	33	16	.	.	PUNCT
fumecheng-7527	34	1	1	1	NUM
fumecheng-7527	34	2	sketch	sketch	ADJ
fumecheng-7527	34	3	and	and	CCONJ
fumecheng-7527	34	4	force	force	NOUN
fumecheng-7527	34	5	diagram	diagram	NOUN
fumecheng-7527	34	6	for	for	ADP
fumecheng-7527	34	7	the	the	DET
fumecheng-7527	34	8	analyzed	analyze	VERB
fumecheng-7527	34	9	three	three	NUM
fumecheng-7527	34	10	-	-	PUNCT
fumecheng-7527	34	11	body	body	NOUN
fumecheng-7527	34	12	contact	contact	NOUN
fumecheng-7527	34	13	problem	problem	NOUN
fumecheng-7527	34	14	self	self	NOUN
fumecheng-7527	34	15	-	-	PUNCT
fumecheng-7527	34	16	consistency	consistency	NOUN
fumecheng-7527	34	17	conditions	condition	NOUN
fumecheng-7527	34	18	in	in	ADP
fumecheng-7527	34	19	static	static	ADJ
fumecheng-7527	34	20	three	three	NUM
fumecheng-7527	34	21	-	-	PUNCT
fumecheng-7527	34	22	body	body	NOUN
fumecheng-7527	34	23	elastic	elastic	ADJ
fumecheng-7527	34	24	tangential	tangential	ADJ
fumecheng-7527	34	25	contact	contact	NOUN
fumecheng-7527	34	26	451	451	NUM
fumecheng-7527	34	27	the	the	DET
fumecheng-7527	34	28	global	global	ADJ
fumecheng-7527	34	29	equilibrium	equilibrium	NOUN
fumecheng-7527	34	30	conditions	condition	NOUN
fumecheng-7527	34	31	for	for	ADP
fumecheng-7527	34	32	the	the	DET
fumecheng-7527	34	33	third	third	ADJ
fumecheng-7527	34	34	body	body	NOUN
fumecheng-7527	34	35	are	be	AUX
fumecheng-7527	34	36	2	2	NUM
fumecheng-7527	34	37	3	3	NUM
fumecheng-7527	34	38	1	1	NUM
fumecheng-7527	34	39	2	2	NUM
fumecheng-7527	34	40	3	3	NUM
fumecheng-7527	34	41	1	1	NUM
fumecheng-7527	34	42	(	(	PUNCT
fumecheng-7527	34	43	)	)	PUNCT
fumecheng-7527	34	44	1	1	NUM
fumecheng-7527	34	45	1	1	NUM
fumecheng-7527	34	46	1	1	NUM
fumecheng-7527	34	47	1	1	NUM
fumecheng-7527	34	48	2	2	NUM
fumecheng-7527	34	49	2	2	NUM
fumecheng-7527	34	50	2	2	NUM
fumecheng-7527	34	51	2	2	NUM
fumecheng-7527	34	52	3	3	NUM
fumecheng-7527	34	53	3	3	NUM
fumecheng-7527	34	54	3	3	NUM
fumecheng-7527	34	55	2	2	NUM
fumecheng-7527	34	56	0	0	NUM
fumecheng-7527	34	57	,	,	PUNCT
fumecheng-7527	34	58	0	0	NUM
fumecheng-7527	34	59	,	,	PUNCT
fumecheng-7527	34	60	0	0	NUM
fumecheng-7527	34	61	(	(	PUNCT
fumecheng-7527	34	62	)	)	PUNCT
fumecheng-7527	34	63	(	(	PUNCT
fumecheng-7527	34	64	)	)	PUNCT
fumecheng-7527	34	65	(	(	PUNCT
fumecheng-7527	34	66	)	)	PUNCT
fumecheng-7527	34	67	.	.	PUNCT
fumecheng-7527	35	1	z	z	NOUN
fumecheng-7527	36	1	x	x	PUNCT
fumecheng-7527	36	2	s	s	VERB
fumecheng-7527	36	3	y	y	PROPN
fumecheng-7527	36	4	f	f	PROPN
fumecheng-7527	36	5	n	n	CCONJ
fumecheng-7527	36	6	n	n	CCONJ
fumecheng-7527	36	7	n	n	CCONJ
fumecheng-7527	36	8	mg	mg	PROPN
fumecheng-7527	36	9	f	f	PROPN
fumecheng-7527	37	1	t	t	PROPN
fumecheng-7527	37	2	t	t	PROPN
fumecheng-7527	37	3	t	t	PROPN
fumecheng-7527	37	4	m	m	VERB
fumecheng-7527	37	5	n	n	PROPN
fumecheng-7527	37	6	x	x	SYM
fumecheng-7527	37	7	t	t	PROPN
fumecheng-7527	37	8	z	z	PROPN
fumecheng-7527	37	9	n	n	PROPN
fumecheng-7527	37	10	x	x	SYM
fumecheng-7527	37	11	t	t	PROPN
fumecheng-7527	37	12	z	z	PROPN
fumecheng-7527	37	13	n	n	PROPN
fumecheng-7527	37	14	x	x	SYM
fumecheng-7527	37	15	t	t	NOUN
fumecheng-7527	37	16	z	z	NOUN
fumecheng-7527	37	17	=	=	PUNCT
fumecheng-7527	38	1	=	=	PUNCT
fumecheng-7527	39	1	+	+	NUM
fumecheng-7527	39	2	−	−	NOUN
fumecheng-7527	39	3	−	−	PROPN
fumecheng-7527	39	4	=	=	PUNCT
fumecheng-7527	40	1	=	=	PUNCT
fumecheng-7527	40	2	+	+	NUM
fumecheng-7527	40	3	−	−	NOUN
fumecheng-7527	40	4	=	=	SYM
fumecheng-7527	40	5	=	=	PUNCT
fumecheng-7527	41	1	−	−	PROPN
fumecheng-7527	42	1	+	+	CCONJ
fumecheng-7527	42	2	−	−	PROPN
fumecheng-7527	42	3	−	−	NUM
fumecheng-7527	42	4	−	−	NOUN
fumecheng-7527	42	5	−	−	PROPN
fumecheng-7527	42	6	−	−	PROPN
fumecheng-7527	42	7	−	−	NOUN
fumecheng-7527	42	8			X
fumecheng-7527	42	9			X
fumecheng-7527	42	10			X
fumecheng-7527	42	11	(	(	PUNCT
fumecheng-7527	42	12	1	1	X
fumecheng-7527	42	13	)	)	PUNCT
fumecheng-7527	42	14	combining	combine	VERB
fumecheng-7527	42	15	the	the	DET
fumecheng-7527	42	16	last	last	ADJ
fumecheng-7527	42	17	two	two	NUM
fumecheng-7527	42	18	equations	equation	NOUN
fumecheng-7527	42	19	we	we	PRON
fumecheng-7527	42	20	obtain	obtain	VERB
fumecheng-7527	42	21	1	1	NUM
fumecheng-7527	42	22	1	1	NUM
fumecheng-7527	42	23	2	2	NUM
fumecheng-7527	42	24	2	2	NUM
fumecheng-7527	42	25	3	3	NUM
fumecheng-7527	42	26	3	3	NUM
fumecheng-7527	42	27	1	1	NUM
fumecheng-7527	42	28	1	1	NUM
fumecheng-7527	42	29	0	0	NUM
fumecheng-7527	42	30	,	,	PUNCT
fumecheng-7527	42	31	n	n	NOUN
fumecheng-7527	42	32	x	x	SYM
fumecheng-7527	42	33	n	n	PROPN
fumecheng-7527	42	34	x	x	SYM
fumecheng-7527	42	35	n	n	PROPN
fumecheng-7527	42	36	x	x	SYM
fumecheng-7527	42	37	t	t	NOUN
fumecheng-7527	42	38	h	h	NOUN
fumecheng-7527	42	39	t	t	PROPN
fumecheng-7527	42	40	h−	h−	PROPN
fumecheng-7527	43	1	−	−	PROPN
fumecheng-7527	44	1	=	=	SYM
fumecheng-7527	45	1			X
fumecheng-7527	46	1	(	(	PUNCT
fumecheng-7527	46	2	2	2	NUM
fumecheng-7527	46	3	)	)	PUNCT
fumecheng-7527	46	4	because	because	SCONJ
fumecheng-7527	46	5	the	the	DET
fumecheng-7527	46	6	total	total	ADJ
fumecheng-7527	46	7	indentation	indentation	NOUN
fumecheng-7527	46	8	depth	depth	NOUN
fumecheng-7527	46	9	,	,	PUNCT
fumecheng-7527	46	10	δh	δh	SCONJ
fumecheng-7527	46	11	=	=	PUNCT
fumecheng-7527	46	12	h0	h0	PROPN
fumecheng-7527	46	13	–	–	PUNCT
fumecheng-7527	46	14	h	h	NOUN
fumecheng-7527	46	15	,	,	PUNCT
fumecheng-7527	46	16	must	must	AUX
fumecheng-7527	46	17	be	be	AUX
fumecheng-7527	46	18	negligible	negligible	ADJ
fumecheng-7527	46	19	for	for	SCONJ
fumecheng-7527	46	20	the	the	DET
fumecheng-7527	46	21	hertzian	hertzian	PROPN
fumecheng-7527	46	22	theory	theory	NOUN
fumecheng-7527	46	23	to	to	PART
fumecheng-7527	46	24	be	be	AUX
fumecheng-7527	46	25	applicable	applicable	ADJ
fumecheng-7527	46	26	.	.	PUNCT
fumecheng-7527	47	1	3	3	X
fumecheng-7527	47	2	.	.	X
fumecheng-7527	47	3	normal	normal	ADJ
fumecheng-7527	47	4	contact	contact	NOUN
fumecheng-7527	47	5	solution	solution	NOUN
fumecheng-7527	47	6	for	for	ADP
fumecheng-7527	47	7	the	the	DET
fumecheng-7527	47	8	contact	contact	NOUN
fumecheng-7527	47	9	solution	solution	NOUN
fumecheng-7527	47	10	in	in	ADP
fumecheng-7527	47	11	the	the	DET
fumecheng-7527	47	12	following	follow	VERB
fumecheng-7527	47	13	sections	section	NOUN
fumecheng-7527	47	14	it	it	PRON
fumecheng-7527	47	15	shall	shall	AUX
fumecheng-7527	47	16	be	be	AUX
fumecheng-7527	47	17	generally	generally	ADV
fumecheng-7527	47	18	assumed	assume	VERB
fumecheng-7527	47	19	that	that	SCONJ
fumecheng-7527	47	20	the	the	DET
fumecheng-7527	47	21	characteristic	characteristic	ADJ
fumecheng-7527	47	22	length	length	NOUN
fumecheng-7527	47	23	of	of	ADP
fumecheng-7527	47	24	the	the	DET
fumecheng-7527	47	25	contact	contact	NOUN
fumecheng-7527	47	26	spots	spot	NOUN
fumecheng-7527	47	27	(	(	PUNCT
fumecheng-7527	47	28	e.g.	e.g.	ADV
fumecheng-7527	47	29	their	their	PRON
fumecheng-7527	47	30	radius	radius	NOUN
fumecheng-7527	47	31	)	)	PUNCT
fumecheng-7527	47	32	is	be	AUX
fumecheng-7527	47	33	much	much	ADV
fumecheng-7527	47	34	smaller	small	ADJ
fumecheng-7527	47	35	than	than	ADP
fumecheng-7527	47	36	the	the	DET
fumecheng-7527	47	37	macroscopic	macroscopic	ADJ
fumecheng-7527	47	38	dimensions	dimension	NOUN
fumecheng-7527	47	39	of	of	ADP
fumecheng-7527	47	40	the	the	DET
fumecheng-7527	47	41	third	third	ADJ
fumecheng-7527	47	42	-	-	PUNCT
fumecheng-7527	47	43	body	body	NOUN
fumecheng-7527	47	44	particle	particle	NOUN
fumecheng-7527	47	45	(	(	PUNCT
fumecheng-7527	47	46	so	so	SCONJ
fumecheng-7527	47	47	that	that	SCONJ
fumecheng-7527	47	48	one	one	PRON
fumecheng-7527	47	49	can	can	AUX
fumecheng-7527	47	50	neglect	neglect	VERB
fumecheng-7527	47	51	finite	finite	ADJ
fumecheng-7527	47	52	size	size	NOUN
fumecheng-7527	47	53	effects	effect	NOUN
fumecheng-7527	47	54	for	for	ADP
fumecheng-7527	47	55	the	the	DET
fumecheng-7527	47	56	elastic	elastic	ADJ
fumecheng-7527	47	57	body	body	NOUN
fumecheng-7527	47	58	)	)	PUNCT
fumecheng-7527	47	59	and	and	CCONJ
fumecheng-7527	47	60	that	that	SCONJ
fumecheng-7527	47	61	the	the	DET
fumecheng-7527	47	62	contacting	contact	VERB
fumecheng-7527	47	63	bodies	body	NOUN
fumecheng-7527	47	64	are	be	AUX
fumecheng-7527	47	65	elastically	elastically	ADV
fumecheng-7527	47	66	similar	similar	ADJ
fumecheng-7527	47	67	to	to	PART
fumecheng-7527	47	68	avoid	avoid	VERB
fumecheng-7527	47	69	elastic	elastic	ADJ
fumecheng-7527	47	70	coupling	coupling	NOUN
fumecheng-7527	47	71	of	of	ADP
fumecheng-7527	47	72	the	the	DET
fumecheng-7527	47	73	normal	normal	ADJ
fumecheng-7527	47	74	and	and	CCONJ
fumecheng-7527	47	75	tangential	tangential	ADJ
fumecheng-7527	47	76	contact	contact	NOUN
fumecheng-7527	47	77	problems	problem	NOUN
fumecheng-7527	47	78	,	,	PUNCT
fumecheng-7527	47	79	i.e.	i.e.	X
fumecheng-7527	47	80	(	(	PUNCT
fumecheng-7527	47	81	introducing	introduce	VERB
fumecheng-7527	47	82	the	the	DET
fumecheng-7527	47	83	shear	shear	NOUN
fumecheng-7527	47	84	moduli	modulus	NOUN
fumecheng-7527	47	85	gi	gi	X
fumecheng-7527	47	86	and	and	CCONJ
fumecheng-7527	47	87	poisson	poisson	PROPN
fumecheng-7527	47	88	ratios	ratio	NOUN
fumecheng-7527	47	89	νi	νi	PRON
fumecheng-7527	47	90	,	,	PUNCT
fumecheng-7527	47	91	where	where	SCONJ
fumecheng-7527	47	92	the	the	DET
fumecheng-7527	47	93	index	index	NOUN
fumecheng-7527	47	94	“	"	PUNCT
fumecheng-7527	47	95	3	3	NUM
fumecheng-7527	47	96	”	"	PUNCT
fumecheng-7527	47	97	corresponds	correspond	NOUN
fumecheng-7527	47	98	to	to	ADP
fumecheng-7527	47	99	the	the	DET
fumecheng-7527	47	100	third	third	ADJ
fumecheng-7527	47	101	-	-	PUNCT
fumecheng-7527	47	102	body	body	NOUN
fumecheng-7527	47	103	particle	particle	NOUN
fumecheng-7527	47	104	,	,	PUNCT
fumecheng-7527	47	105	and	and	CCONJ
fumecheng-7527	47	106	“	"	PUNCT
fumecheng-7527	47	107	1	1	NUM
fumecheng-7527	47	108	”	"	PUNCT
fumecheng-7527	47	109	and	and	CCONJ
fumecheng-7527	47	110	“	"	PUNCT
fumecheng-7527	47	111	2	2	NUM
fumecheng-7527	47	112	”	"	PUNCT
fumecheng-7527	47	113	to	to	ADP
fumecheng-7527	47	114	the	the	DET
fumecheng-7527	47	115	upper	upper	ADJ
fumecheng-7527	47	116	and	and	CCONJ
fumecheng-7527	47	117	lower	low	ADJ
fumecheng-7527	47	118	half	half	ADJ
fumecheng-7527	47	119	-	-	PUNCT
fumecheng-7527	47	120	spaces	space	NOUN
fumecheng-7527	47	121	)	)	PUNCT
fumecheng-7527	48	1	[	[	X
fumecheng-7527	48	2	13	13	NUM
fumecheng-7527	48	3	]	]	SYM
fumecheng-7527	48	4	31	31	NUM
fumecheng-7527	48	5	2	2	NUM
fumecheng-7527	48	6	1	1	NUM
fumecheng-7527	48	7	2	2	NUM
fumecheng-7527	48	8	3	3	NUM
fumecheng-7527	48	9	1	1	NUM
fumecheng-7527	48	10	21	21	NUM
fumecheng-7527	48	11	2	2	NUM
fumecheng-7527	48	12	1	1	NUM
fumecheng-7527	48	13	2	2	NUM
fumecheng-7527	48	14	.	.	PUNCT
fumecheng-7527	49	1	g	g	NOUN
fumecheng-7527	49	2	g	g	PROPN
fumecheng-7527	49	3	g	g	PROPN
fumecheng-7527	49	4			PUNCT
fumecheng-7527	49	5			ADJ
fumecheng-7527	49	6	−−	−−	NOUN
fumecheng-7527	49	7	−	−	PROPN
fumecheng-7527	50	1	=	=	SYM
fumecheng-7527	50	2	=	=	SYM
fumecheng-7527	50	3	(	(	PUNCT
fumecheng-7527	50	4	3	3	NUM
fumecheng-7527	50	5	)	)	PUNCT
fumecheng-7527	50	6	with	with	ADP
fumecheng-7527	50	7	the	the	DET
fumecheng-7527	50	8	effective	effective	ADJ
fumecheng-7527	50	9	elastic	elastic	ADJ
fumecheng-7527	50	10	moduli	modulus	NOUN
fumecheng-7527	50	11	on	on	ADP
fumecheng-7527	50	12	the	the	DET
fumecheng-7527	50	13	upper	upper	ADJ
fumecheng-7527	50	14	and	and	CCONJ
fumecheng-7527	50	15	lower	low	ADJ
fumecheng-7527	50	16	side	side	NOUN
fumecheng-7527	50	17	[	[	X
fumecheng-7527	50	18	13	13	NUM
fumecheng-7527	50	19	]	]	PUNCT
fumecheng-7527	50	20	,	,	PUNCT
fumecheng-7527	50	21	1	1	NUM
fumecheng-7527	50	22	1	1	NUM
fumecheng-7527	50	23	*	*	PUNCT
fumecheng-7527	50	24	*	*	PUNCT
fumecheng-7527	50	25	*	*	PUNCT
fumecheng-7527	50	26	3	3	NUM
fumecheng-7527	50	27	31	31	NUM
fumecheng-7527	50	28	2	2	NUM
fumecheng-7527	50	29	1	1	NUM
fumecheng-7527	50	30	2	2	NUM
fumecheng-7527	50	31	3	3	NUM
fumecheng-7527	50	32	1	1	NUM
fumecheng-7527	50	33	3	3	NUM
fumecheng-7527	50	34	2	2	NUM
fumecheng-7527	50	35	3	3	NUM
fumecheng-7527	50	36	1	1	NUM
fumecheng-7527	50	37	11	11	NUM
fumecheng-7527	50	38	1	1	NUM
fumecheng-7527	50	39	:	:	PUNCT
fumecheng-7527	50	40	,	,	PUNCT
fumecheng-7527	50	41	:	:	PUNCT
fumecheng-7527	50	42	2	2	NUM
fumecheng-7527	50	43	2	2	NUM
fumecheng-7527	50	44	2	2	NUM
fumecheng-7527	50	45	2	2	NUM
fumecheng-7527	50	46	v	v	NOUN
fumecheng-7527	50	47	vv	vv	NOUN
fumecheng-7527	50	48	v	v	NOUN
fumecheng-7527	50	49	e	e	X
fumecheng-7527	50	50	e	e	X
fumecheng-7527	50	51	e	e	X
fumecheng-7527	50	52	g	g	NOUN
fumecheng-7527	50	53	g	g	PROPN
fumecheng-7527	50	54	g	g	PROPN
fumecheng-7527	50	55	g	g	PROPN
fumecheng-7527	50	56	−	−	PROPN
fumecheng-7527	50	57	−	−	PROPN
fumecheng-7527	50	58			NOUN
fumecheng-7527	50	59			PROPN
fumecheng-7527	50	60			NOUN
fumecheng-7527	50	61	−	−	PROPN
fumecheng-7527	50	62	−−	−−	NOUN
fumecheng-7527	50	63	−	−	PROPN
fumecheng-7527	50	64	=	=	PUNCT
fumecheng-7527	51	1	+	+	PUNCT
fumecheng-7527	51	2	=	=	PUNCT
fumecheng-7527	51	3	=	=	PUNCT
fumecheng-7527	52	1	+	+	NUM
fumecheng-7527	52	2			PROPN
fumecheng-7527	52	3			PROPN
fumecheng-7527	53	1			PROPN
fumecheng-7527	53	2			PROPN
fumecheng-7527	54	1			ADJ
fumecheng-7527	54	2			PROPN
fumecheng-7527	54	3			PROPN
fumecheng-7527	54	4			NOUN
fumecheng-7527	54	5	(	(	PUNCT
fumecheng-7527	54	6	4	4	NUM
fumecheng-7527	54	7	)	)	PUNCT
fumecheng-7527	54	8	the	the	DET
fumecheng-7527	54	9	hertzian	hertzian	ADJ
fumecheng-7527	54	10	normal	normal	ADJ
fumecheng-7527	54	11	contact	contact	NOUN
fumecheng-7527	54	12	solution	solution	NOUN
fumecheng-7527	54	13	reads	read	VERB
fumecheng-7527	54	14	[	[	X
fumecheng-7527	54	15	13	13	NUM
fumecheng-7527	54	16	]	]	PUNCT
fumecheng-7527	54	17	*	*	PUNCT
fumecheng-7527	54	18	1/2	1/2	NUM
fumecheng-7527	54	19	3/2	3/2	NUM
fumecheng-7527	54	20	1	1	NUM
fumecheng-7527	54	21	1	1	NUM
fumecheng-7527	54	22	4	4	NUM
fumecheng-7527	54	23	,	,	PUNCT
fumecheng-7527	54	24	0	0	NUM
fumecheng-7527	54	25	,	,	PUNCT
fumecheng-7527	54	26	1,2,3	1,2,3	NUM
fumecheng-7527	54	27	.	.	NOUN
fumecheng-7527	54	28	3	3	NUM
fumecheng-7527	55	1	i	i	PRON
fumecheng-7527	55	2	i	i	PRON
fumecheng-7527	55	3	in	in	ADP
fumecheng-7527	55	4	e	e	PROPN
fumecheng-7527	55	5	r	r	NOUN
fumecheng-7527	55	6	d	d	PROPN
fumecheng-7527	56	1	d	d	X
fumecheng-7527	56	2	i=	i=	PROPN
fumecheng-7527	56	3			X
fumecheng-7527	56	4	=	=	PUNCT
fumecheng-7527	56	5	(	(	PUNCT
fumecheng-7527	56	6	5	5	X
fumecheng-7527	56	7	)	)	PUNCT
fumecheng-7527	56	8	the	the	DET
fumecheng-7527	56	9	hertzian	hertzian	ADJ
fumecheng-7527	56	10	solution	solution	NOUN
fumecheng-7527	56	11	can	can	AUX
fumecheng-7527	56	12	obviously	obviously	ADV
fumecheng-7527	56	13	only	only	ADV
fumecheng-7527	56	14	be	be	AUX
fumecheng-7527	56	15	used	use	VERB
fumecheng-7527	56	16	if	if	SCONJ
fumecheng-7527	56	17	the	the	DET
fumecheng-7527	56	18	contact	contact	NOUN
fumecheng-7527	56	19	spots	spot	NOUN
fumecheng-7527	56	20	do	do	AUX
fumecheng-7527	56	21	not	not	PART
fumecheng-7527	56	22	interact	interact	VERB
fumecheng-7527	56	23	elastically	elastically	ADV
fumecheng-7527	56	24	.	.	PUNCT
fumecheng-7527	57	1	if	if	SCONJ
fumecheng-7527	57	2	the	the	DET
fumecheng-7527	57	3	contact	contact	NOUN
fumecheng-7527	57	4	spots	spot	NOUN
fumecheng-7527	57	5	are	be	AUX
fumecheng-7527	57	6	very	very	ADV
fumecheng-7527	57	7	close	close	ADJ
fumecheng-7527	57	8	to	to	ADP
fumecheng-7527	57	9	each	each	DET
fumecheng-7527	57	10	other	other	ADJ
fumecheng-7527	57	11	,	,	PUNCT
fumecheng-7527	57	12	one	one	PRON
fumecheng-7527	57	13	should	should	AUX
fumecheng-7527	57	14	consider	consider	VERB
fumecheng-7527	57	15	interactions	interaction	NOUN
fumecheng-7527	57	16	between	between	ADP
fumecheng-7527	57	17	them	they	PRON
fumecheng-7527	57	18	[	[	X
fumecheng-7527	57	19	14	14	NUM
fumecheng-7527	57	20	]	]	PUNCT
fumecheng-7527	57	21	.	.	PUNCT
fumecheng-7527	58	1	without	without	ADP
fumecheng-7527	58	2	loss	loss	NOUN
fumecheng-7527	58	3	of	of	ADP
fumecheng-7527	58	4	generality	generality	NOUN
fumecheng-7527	58	5	let	let	VERB
fumecheng-7527	58	6	us	we	PRON
fumecheng-7527	58	7	assume	assume	VERB
fumecheng-7527	58	8	that	that	SCONJ
fumecheng-7527	58	9	the	the	DET
fumecheng-7527	58	10	lower	low	ADJ
fumecheng-7527	58	11	half	half	ADJ
fumecheng-7527	58	12	-	-	PUNCT
fumecheng-7527	58	13	space	space	NOUN
fumecheng-7527	58	14	is	be	AUX
fumecheng-7527	58	15	fixed	fix	VERB
fumecheng-7527	58	16	,	,	PUNCT
fumecheng-7527	58	17	and	and	CCONJ
fumecheng-7527	58	18	the	the	DET
fumecheng-7527	58	19	upper	upper	ADJ
fumecheng-7527	58	20	half	half	ADJ
fumecheng-7527	58	21	-	-	PUNCT
fumecheng-7527	58	22	space	space	NOUN
fumecheng-7527	58	23	is	be	AUX
fumecheng-7527	58	24	macroscopically	macroscopically	ADV
fumecheng-7527	58	25	displaced	displace	VERB
fumecheng-7527	58	26	by	by	ADP
fumecheng-7527	58	27	δh	δh	NOUN
fumecheng-7527	58	28	.	.	PUNCT
fumecheng-7527	59	1	in	in	ADP
fumecheng-7527	59	2	general	general	ADJ
fumecheng-7527	59	3	,	,	PUNCT
fumecheng-7527	59	4	the	the	DET
fumecheng-7527	59	5	third	third	ADJ
fumecheng-7527	59	6	-	-	PUNCT
fumecheng-7527	59	7	body	body	NOUN
fumecheng-7527	59	8	particle	particle	NOUN
fumecheng-7527	59	9	will	will	AUX
fumecheng-7527	59	10	experience	experience	VERB
fumecheng-7527	59	11	small	small	ADJ
fumecheng-7527	59	12	elastic	elastic	ADJ
fumecheng-7527	59	13	displacements	displacement	NOUN
fumecheng-7527	59	14	in	in	ADP
fumecheng-7527	59	15	all	all	DET
fumecheng-7527	59	16	its	its	PRON
fumecheng-7527	59	17	degrees	degree	NOUN
fumecheng-7527	59	18	of	of	ADP
fumecheng-7527	59	19	freedom	freedom	NOUN
fumecheng-7527	59	20	(	(	PUNCT
fumecheng-7527	59	21	as	as	ADP
fumecheng-7527	59	22	a	a	DET
fumecheng-7527	59	23	rigid	rigid	ADJ
fumecheng-7527	59	24	body	body	NOUN
fumecheng-7527	59	25	)	)	PUNCT
fumecheng-7527	59	26	;	;	PUNCT
fumecheng-7527	59	27	if	if	SCONJ
fumecheng-7527	59	28	we	we	PRON
fumecheng-7527	59	29	denote	denote	VERB
fumecheng-7527	59	30	the	the	DET
fumecheng-7527	59	31	normal	normal	ADJ
fumecheng-7527	59	32	and	and	CCONJ
fumecheng-7527	59	33	tangential	tangential	ADJ
fumecheng-7527	59	34	displacement	displacement	NOUN
fumecheng-7527	59	35	of	of	ADP
fumecheng-7527	59	36	the	the	DET
fumecheng-7527	59	37	center	center	NOUN
fumecheng-7527	59	38	of	of	ADP
fumecheng-7527	59	39	gravity	gravity	NOUN
fumecheng-7527	59	40	by	by	ADP
fumecheng-7527	59	41	ws	ws	NOUN
fumecheng-7527	59	42	and	and	CCONJ
fumecheng-7527	59	43	us	we	PRON
fumecheng-7527	59	44	,	,	PUNCT
fumecheng-7527	59	45	and	and	CCONJ
fumecheng-7527	59	46	the	the	DET
fumecheng-7527	59	47	small	small	ADJ
fumecheng-7527	59	48	rotational	rotational	ADJ
fumecheng-7527	59	49	angle	angle	NOUN
fumecheng-7527	59	50	by	by	ADP
fumecheng-7527	59	51	φ	φ	PROPN
fumecheng-7527	59	52	,	,	PUNCT
fumecheng-7527	59	53	the	the	DET
fumecheng-7527	59	54	indentation	indentation	NOUN
fumecheng-7527	59	55	depths	depth	NOUN
fumecheng-7527	59	56	for	for	ADP
fumecheng-7527	59	57	the	the	DET
fumecheng-7527	59	58	three	three	NUM
fumecheng-7527	59	59	contact	contact	NOUN
fumecheng-7527	59	60	spots	spot	NOUN
fumecheng-7527	59	61	are	be	AUX
fumecheng-7527	59	62	given	give	VERB
fumecheng-7527	59	63	by	by	ADP
fumecheng-7527	59	64	452	452	NUM
fumecheng-7527	59	65	e.	e.	PROPN
fumecheng-7527	59	66	willert	willert	PROPN
fumecheng-7527	59	67	1	1	NUM
fumecheng-7527	59	68	1	1	NUM
fumecheng-7527	59	69	2	2	NUM
fumecheng-7527	59	70	2	2	NUM
fumecheng-7527	59	71	3	3	NUM
fumecheng-7527	59	72	3	3	NUM
fumecheng-7527	59	73	,	,	PUNCT
fumecheng-7527	59	74	,	,	PUNCT
fumecheng-7527	59	75	.	.	PUNCT
fumecheng-7527	60	1	s	s	PART
fumecheng-7527	60	2	s	s	X
fumecheng-7527	60	3	s	s	X
fumecheng-7527	60	4	d	d	X
fumecheng-7527	60	5	h	h	NOUN
fumecheng-7527	60	6	w	w	NOUN
fumecheng-7527	60	7	x	x	PROPN
fumecheng-7527	61	1	d	d	X
fumecheng-7527	61	2	w	w	PROPN
fumecheng-7527	61	3	x	x	X
fumecheng-7527	61	4	d	d	X
fumecheng-7527	61	5	w	w	NOUN
fumecheng-7527	61	6	x	x	X
fumecheng-7527	61	7			ADJ
fumecheng-7527	61	8			PROPN
fumecheng-7527	61	9			PROPN
fumecheng-7527	61	10	=	=	PUNCT
fumecheng-7527	61	11			NOUN
fumecheng-7527	61	12	−	−	NOUN
fumecheng-7527	61	13	−	−	PROPN
fumecheng-7527	62	1	=	=	SYM
fumecheng-7527	62	2	+	+	PUNCT
fumecheng-7527	63	1	=	=	SYM
fumecheng-7527	63	2	+	+	CCONJ
fumecheng-7527	63	3	(	(	PUNCT
fumecheng-7527	63	4	6	6	NUM
fumecheng-7527	63	5	)	)	PUNCT
fumecheng-7527	63	6	for	for	ADP
fumecheng-7527	63	7	the	the	DET
fumecheng-7527	63	8	pure	pure	ADJ
fumecheng-7527	63	9	normal	normal	ADJ
fumecheng-7527	63	10	contact	contact	NOUN
fumecheng-7527	63	11	problem	problem	NOUN
fumecheng-7527	63	12	,	,	PUNCT
fumecheng-7527	63	13	the	the	DET
fumecheng-7527	63	14	tangential	tangential	ADJ
fumecheng-7527	63	15	forces	force	NOUN
fumecheng-7527	63	16	are	be	AUX
fumecheng-7527	63	17	absent	absent	ADJ
fumecheng-7527	63	18	.	.	PUNCT
fumecheng-7527	64	1	the	the	DET
fumecheng-7527	64	2	equilibrium	equilibrium	NOUN
fumecheng-7527	64	3	conditions	condition	NOUN
fumecheng-7527	64	4	for	for	ADP
fumecheng-7527	64	5	fz	fz	NOUN
fumecheng-7527	64	6	and	and	CCONJ
fumecheng-7527	64	7	my	my	PRON
fumecheng-7527	64	8	will	will	AUX
fumecheng-7527	64	9	then	then	ADV
fumecheng-7527	64	10	give	give	VERB
fumecheng-7527	64	11	a	a	DET
fumecheng-7527	64	12	nonlinear	nonlinear	ADJ
fumecheng-7527	64	13	equation	equation	NOUN
fumecheng-7527	64	14	system	system	NOUN
fumecheng-7527	64	15	to	to	PART
fumecheng-7527	64	16	determine	determine	VERB
fumecheng-7527	64	17	the	the	DET
fumecheng-7527	64	18	two	two	NUM
fumecheng-7527	64	19	unknown	unknown	ADJ
fumecheng-7527	64	20	displacements	displacement	NOUN
fumecheng-7527	64	21	,	,	PUNCT
fumecheng-7527	64	22	ws	ws	NOUN
fumecheng-7527	64	23	and	and	CCONJ
fumecheng-7527	64	24	φ	φ	PROPN
fumecheng-7527	64	25	.	.	PUNCT
fumecheng-7527	65	1	this	this	DET
fumecheng-7527	65	2	equation	equation	NOUN
fumecheng-7527	65	3	system	system	NOUN
fumecheng-7527	65	4	will	will	AUX
fumecheng-7527	65	5	usually	usually	ADV
fumecheng-7527	65	6	be	be	AUX
fumecheng-7527	65	7	unsolvable	unsolvable	ADJ
fumecheng-7527	65	8	in	in	ADP
fumecheng-7527	65	9	closed	closed	ADJ
fumecheng-7527	65	10	analytical	analytical	ADJ
fumecheng-7527	65	11	form	form	NOUN
fumecheng-7527	65	12	and	and	CCONJ
fumecheng-7527	65	13	due	due	ADP
fumecheng-7527	65	14	to	to	ADP
fumecheng-7527	65	15	the	the	DET
fumecheng-7527	65	16	plenty	plenty	NOUN
fumecheng-7527	65	17	of	of	ADP
fumecheng-7527	65	18	influencing	influence	VERB
fumecheng-7527	65	19	parameters	parameter	NOUN
fumecheng-7527	65	20	a	a	DET
fumecheng-7527	65	21	comprehensive	comprehensive	ADJ
fumecheng-7527	65	22	solution	solution	NOUN
fumecheng-7527	65	23	can	can	AUX
fumecheng-7527	65	24	not	not	PART
fumecheng-7527	65	25	be	be	AUX
fumecheng-7527	65	26	shown	show	VERB
fumecheng-7527	65	27	here	here	ADV
fumecheng-7527	65	28	.	.	PUNCT
fumecheng-7527	66	1	for	for	ADP
fumecheng-7527	66	2	illustration	illustration	NOUN
fumecheng-7527	66	3	purposes	purpose	NOUN
fumecheng-7527	66	4	,	,	PUNCT
fumecheng-7527	66	5	however	however	ADV
fumecheng-7527	66	6	,	,	PUNCT
fumecheng-7527	66	7	let	let	VERB
fumecheng-7527	66	8	us	we	PRON
fumecheng-7527	66	9	give	give	VERB
fumecheng-7527	66	10	the	the	DET
fumecheng-7527	66	11	solution	solution	NOUN
fumecheng-7527	66	12	,	,	PUNCT
fumecheng-7527	66	13	if	if	SCONJ
fumecheng-7527	66	14	the	the	DET
fumecheng-7527	66	15	particle	particle	NOUN
fumecheng-7527	66	16	(	(	PUNCT
fumecheng-7527	66	17	e.g.	e.g.	ADV
fumecheng-7527	66	18	,	,	PUNCT
fumecheng-7527	66	19	due	due	ADP
fumecheng-7527	66	20	to	to	ADP
fumecheng-7527	66	21	symmetry	symmetry	NOUN
fumecheng-7527	66	22	)	)	PUNCT
fumecheng-7527	66	23	is	be	AUX
fumecheng-7527	66	24	not	not	PART
fumecheng-7527	66	25	rotating	rotate	VERB
fumecheng-7527	66	26	.	.	PUNCT
fumecheng-7527	67	1	inserting	insert	VERB
fumecheng-7527	67	2	eqs	eqs	PROPN
fumecheng-7527	67	3	.	.	PUNCT
fumecheng-7527	68	1	(	(	PUNCT
fumecheng-7527	68	2	6	6	NUM
fumecheng-7527	68	3	)	)	PUNCT
fumecheng-7527	68	4	(	(	PUNCT
fumecheng-7527	68	5	with	with	ADP
fumecheng-7527	68	6	φ	φ	PROPN
fumecheng-7527	68	7	=	=	SYM
fumecheng-7527	68	8	0	0	NUM
fumecheng-7527	68	9	)	)	PUNCT
fumecheng-7527	68	10	into	into	ADP
fumecheng-7527	68	11	the	the	DET
fumecheng-7527	68	12	first	first	ADJ
fumecheng-7527	68	13	of	of	ADP
fumecheng-7527	68	14	eqs	eqs	PROPN
fumecheng-7527	68	15	.	.	PUNCT
fumecheng-7527	69	1	(	(	PUNCT
fumecheng-7527	69	2	1	1	NUM
fumecheng-7527	69	3	)	)	PUNCT
fumecheng-7527	69	4	,	,	PUNCT
fumecheng-7527	69	5	we	we	PRON
fumecheng-7527	69	6	obtain	obtain	VERB
fumecheng-7527	69	7	1/2	1/2	NUM
fumecheng-7527	69	8	1/2	1/2	NUM
fumecheng-7527	69	9	*	*	NUM
fumecheng-7527	69	10	3/2	3/2	NUM
fumecheng-7527	69	11	3/22	3/22	NUM
fumecheng-7527	69	12	32	32	NUM
fumecheng-7527	69	13	1	1	NUM
fumecheng-7527	69	14	1	1	NUM
fumecheng-7527	69	15	*	*	SYM
fumecheng-7527	69	16	1/2	1/2	NUM
fumecheng-7527	69	17	*	*	NUM
fumecheng-7527	69	18	1/2	1/2	NUM
fumecheng-7527	69	19	1	1	NUM
fumecheng-7527	69	20	1	1	NUM
fumecheng-7527	69	21	1	1	NUM
fumecheng-7527	69	22	1	1	NUM
fumecheng-7527	69	23	3	3	NUM
fumecheng-7527	69	24	(	(	PUNCT
fumecheng-7527	69	25	)	)	PUNCT
fumecheng-7527	69	26	.	.	PUNCT
fumecheng-7527	70	1	4	4	NUM
fumecheng-7527	70	2	r	r	NOUN
fumecheng-7527	70	3	remg	remg	NOUN
fumecheng-7527	71	1	d	d	NOUN
fumecheng-7527	71	2	h	h	NOUN
fumecheng-7527	71	3	d	d	X
fumecheng-7527	71	4	e	e	NOUN
fumecheng-7527	71	5	r	r	NOUN
fumecheng-7527	71	6	e	e	NOUN
fumecheng-7527	71	7	r	r	NOUN
fumecheng-7527	71	8	+	+	CCONJ
fumecheng-7527	71	9	+	+	CCONJ
fumecheng-7527	71	10	=	=	NOUN
fumecheng-7527	71	11			X
fumecheng-7527	71	12	−	−	X
fumecheng-7527	71	13	(	(	PUNCT
fumecheng-7527	71	14	7	7	X
fumecheng-7527	71	15	)	)	PUNCT
fumecheng-7527	71	16	introducing	introduce	VERB
fumecheng-7527	71	17	dimensionless	dimensionless	NOUN
fumecheng-7527	71	18	variables	variable	NOUN
fumecheng-7527	71	19	,	,	PUNCT
fumecheng-7527	71	20	1/2	1/2	NUM
fumecheng-7527	71	21	1/2	1/2	NUM
fumecheng-7527	71	22	*	*	SYM
fumecheng-7527	71	23	3/2	3/2	NUM
fumecheng-7527	71	24	2	2	NUM
fumecheng-7527	71	25	31	31	NUM
fumecheng-7527	71	26	2	2	NUM
fumecheng-7527	71	27	*	*	SYM
fumecheng-7527	71	28	1/2	1/2	NUM
fumecheng-7527	71	29	3/2	3/2	NUM
fumecheng-7527	71	30	*	*	NUM
fumecheng-7527	71	31	1/2	1/2	NUM
fumecheng-7527	71	32	1	1	NUM
fumecheng-7527	71	33	1	1	NUM
fumecheng-7527	71	34	1	1	NUM
fumecheng-7527	71	35	1	1	NUM
fumecheng-7527	71	36	3	3	NUM
fumecheng-7527	71	37	:	:	PUNCT
fumecheng-7527	71	38	,	,	PUNCT
fumecheng-7527	71	39	:	:	PUNCT
fumecheng-7527	71	40	,	,	PUNCT
fumecheng-7527	71	41	:	:	PUNCT
fumecheng-7527	71	42	,	,	PUNCT
fumecheng-7527	71	43	4	4	NUM
fumecheng-7527	71	44	r	r	NOUN
fumecheng-7527	71	45	rd	rd	NOUN
fumecheng-7527	71	46	emg	emg	NOUN
fumecheng-7527	71	47	m	m	PROPN
fumecheng-7527	71	48	h	h	NOUN
fumecheng-7527	72	1	e	e	NOUN
fumecheng-7527	72	2	r	r	NOUN
fumecheng-7527	72	3	h	h	NOUN
fumecheng-7527	72	4	e	e	NOUN
fumecheng-7527	72	5	r	r	NOUN
fumecheng-7527	72	6			NUM
fumecheng-7527	72	7			NOUN
fumecheng-7527	72	8	−	−	PROPN
fumecheng-7527	72	9	+	+	NOUN
fumecheng-7527	72	10	=	=	SYM
fumecheng-7527	72	11	=	=	SYM
fumecheng-7527	72	12	=	=	PUNCT
fumecheng-7527	72	13			NOUN
fumecheng-7527	72	14			X
fumecheng-7527	72	15	(	(	PUNCT
fumecheng-7527	72	16	8)	8)	NUM
fumecheng-7527	72	17	eq	eq	NOUN
fumecheng-7527	72	18	.	.	PUNCT
fumecheng-7527	73	1	(	(	PUNCT
fumecheng-7527	73	2	7	7	X
fumecheng-7527	73	3	)	)	PUNCT
fumecheng-7527	73	4	simplifies	simplifie	NOUN
fumecheng-7527	73	5	to	to	ADP
fumecheng-7527	73	6	3/2	3/2	NUM
fumecheng-7527	73	7	3/2	3/2	NUM
fumecheng-7527	73	8	3/2(1	3/2(1	NUM
fumecheng-7527	73	9	)	)	PUNCT
fumecheng-7527	73	10	.m	.m	PUNCT
fumecheng-7527	74	1			X
fumecheng-7527	74	2	−+	−+	PROPN
fumecheng-7527	74	3	=	=	SYM
fumecheng-7527	74	4	−	−	PROPN
fumecheng-7527	74	5	(	(	PUNCT
fumecheng-7527	74	6	9	9	NUM
fumecheng-7527	74	7	)	)	PUNCT
fumecheng-7527	74	8	from	from	ADP
fumecheng-7527	74	9	the	the	DET
fumecheng-7527	74	10	derivation	derivation	NOUN
fumecheng-7527	74	11	above	above	ADP
fumecheng-7527	75	1	it	it	PRON
fumecheng-7527	75	2	follows	follow	VERB
fumecheng-7527	75	3	that	that	SCONJ
fumecheng-7527	75	4	this	this	DET
fumecheng-7527	75	5	equation	equation	NOUN
fumecheng-7527	75	6	is	be	AUX
fumecheng-7527	75	7	independent	independent	ADJ
fumecheng-7527	75	8	of	of	ADP
fumecheng-7527	75	9	the	the	DET
fumecheng-7527	75	10	number	number	NOUN
fumecheng-7527	75	11	of	of	ADP
fumecheng-7527	75	12	contact	contact	NOUN
fumecheng-7527	75	13	spots	spot	NOUN
fumecheng-7527	75	14	on	on	ADP
fumecheng-7527	75	15	the	the	DET
fumecheng-7527	75	16	upper	upper	ADJ
fumecheng-7527	75	17	and	and	CCONJ
fumecheng-7527	75	18	lower	low	ADJ
fumecheng-7527	75	19	side	side	NOUN
fumecheng-7527	75	20	–	–	PUNCT
fumecheng-7527	75	21	which	which	PRON
fumecheng-7527	75	22	only	only	ADV
fumecheng-7527	75	23	changes	change	VERB
fumecheng-7527	75	24	the	the	DET
fumecheng-7527	75	25	value	value	NOUN
fumecheng-7527	75	26	of	of	ADP
fumecheng-7527	75	27	α	α	NOUN
fumecheng-7527	75	28	–	–	PUNCT
fumecheng-7527	75	29	if	if	SCONJ
fumecheng-7527	75	30	all	all	DET
fumecheng-7527	75	31	contacts	contact	NOUN
fumecheng-7527	75	32	on	on	ADP
fumecheng-7527	75	33	one	one	NUM
fumecheng-7527	75	34	side	side	NOUN
fumecheng-7527	75	35	have	have	VERB
fumecheng-7527	75	36	the	the	DET
fumecheng-7527	75	37	same	same	ADJ
fumecheng-7527	75	38	indentation	indentation	NOUN
fumecheng-7527	75	39	depth	depth	NOUN
fumecheng-7527	75	40	,	,	PUNCT
fumecheng-7527	75	41	i.e.	i.e.	X
fumecheng-7527	75	42	,	,	PUNCT
fumecheng-7527	75	43	if	if	SCONJ
fumecheng-7527	75	44	all	all	DET
fumecheng-7527	75	45	“	"	PUNCT
fumecheng-7527	75	46	asperities	asperity	NOUN
fumecheng-7527	75	47	”	"	PUNCT
fumecheng-7527	75	48	have	have	VERB
fumecheng-7527	75	49	the	the	DET
fumecheng-7527	75	50	same	same	ADJ
fumecheng-7527	75	51	height	height	NOUN
fumecheng-7527	75	52	.	.	PUNCT
fumecheng-7527	76	1	however	however	ADV
fumecheng-7527	76	2	,	,	PUNCT
fumecheng-7527	76	3	considering	consider	VERB
fumecheng-7527	76	4	a	a	DET
fumecheng-7527	76	5	height	height	NOUN
fumecheng-7527	76	6	distribution	distribution	NOUN
fumecheng-7527	76	7	as	as	ADP
fumecheng-7527	76	8	in	in	ADP
fumecheng-7527	76	9	classical	classical	ADJ
fumecheng-7527	76	10	asperity	asperity	NOUN
fumecheng-7527	76	11	theories	theory	NOUN
fumecheng-7527	76	12	[	[	X
fumecheng-7527	76	13	15	15	NUM
fumecheng-7527	76	14	]	]	X
fumecheng-7527	76	15	would	would	AUX
fumecheng-7527	76	16	,	,	PUNCT
fumecheng-7527	76	17	of	of	ADP
fumecheng-7527	76	18	course	course	NOUN
fumecheng-7527	76	19	,	,	PUNCT
fumecheng-7527	76	20	be	be	AUX
fumecheng-7527	76	21	possible	possible	ADJ
fumecheng-7527	76	22	without	without	ADP
fumecheng-7527	76	23	difficulties	difficulty	NOUN
fumecheng-7527	76	24	.	.	PUNCT
fumecheng-7527	77	1	the	the	DET
fumecheng-7527	77	2	nonlinear	nonlinear	NOUN
fumecheng-7527	77	3	eq	eq	PROPN
fumecheng-7527	77	4	.	.	PUNCT
fumecheng-7527	78	1	(	(	PUNCT
fumecheng-7527	78	2	9	9	X
fumecheng-7527	78	3	)	)	PUNCT
fumecheng-7527	78	4	can	can	AUX
fumecheng-7527	78	5	not	not	PART
fumecheng-7527	78	6	be	be	AUX
fumecheng-7527	78	7	solved	solve	VERB
fumecheng-7527	78	8	in	in	ADP
fumecheng-7527	78	9	closed	closed	ADJ
fumecheng-7527	78	10	form	form	NOUN
fumecheng-7527	78	11	.	.	PUNCT
fumecheng-7527	79	1	however	however	ADV
fumecheng-7527	79	2	,	,	PUNCT
fumecheng-7527	79	3	usually	usually	ADV
fumecheng-7527	79	4	the	the	DET
fumecheng-7527	79	5	particle	particle	NOUN
fumecheng-7527	79	6	weight	weight	NOUN
fumecheng-7527	79	7	will	will	AUX
fumecheng-7527	79	8	be	be	AUX
fumecheng-7527	79	9	small	small	ADJ
fumecheng-7527	79	10	compared	compare	VERB
fumecheng-7527	79	11	to	to	ADP
fumecheng-7527	79	12	the	the	DET
fumecheng-7527	79	13	contact	contact	NOUN
fumecheng-7527	79	14	forces	force	NOUN
fumecheng-7527	79	15	.	.	PUNCT
fumecheng-7527	80	1	in	in	ADP
fumecheng-7527	80	2	this	this	DET
fumecheng-7527	80	3	case	case	NOUN
fumecheng-7527	80	4	an	an	DET
fumecheng-7527	80	5	asymptotic	asymptotic	ADJ
fumecheng-7527	80	6	solution	solution	NOUN
fumecheng-7527	80	7	can	can	AUX
fumecheng-7527	80	8	be	be	AUX
fumecheng-7527	80	9	found	find	VERB
fumecheng-7527	80	10	easily	easily	ADV
fumecheng-7527	80	11	.	.	PUNCT
fumecheng-7527	81	1	it	it	PRON
fumecheng-7527	81	2	is	be	AUX
fumecheng-7527	81	3	given	give	VERB
fumecheng-7527	81	4	by	by	ADP
fumecheng-7527	81	5	0	0	NUM
fumecheng-7527	81	6	0	0	NUM
fumecheng-7527	81	7	1	1	NUM
fumecheng-7527	81	8	0	0	NUM
fumecheng-7527	81	9	0	0	NUM
fumecheng-7527	81	10	1/2	1/2	NUM
fumecheng-7527	81	11	0	0	NUM
fumecheng-7527	81	12	0	0	NUM
fumecheng-7527	81	13	(	(	PUNCT
fumecheng-7527	81	14	)	)	PUNCT
fumecheng-7527	81	15	,	,	PUNCT
fumecheng-7527	81	16	(	(	PUNCT
fumecheng-7527	81	17	0	0	NUM
fumecheng-7527	81	18	)	)	PUNCT
fumecheng-7527	81	19	(	(	PUNCT
fumecheng-7527	81	20	1	1	NUM
fumecheng-7527	81	21	)	)	PUNCT
fumecheng-7527	81	22	,	,	PUNCT
fumecheng-7527	81	23	1d	1d	NUM
fumecheng-7527	81	24	d	d	NOUN
fumecheng-7527	81	25	2	2	NUM
fumecheng-7527	81	26	.	.	PUNCT
fumecheng-7527	82	1	d	d	NOUN
fumecheng-7527	82	2	d	d	PROPN
fumecheng-7527	82	3	3	3	NUM
fumecheng-7527	82	4	m	m	NOUN
fumecheng-7527	82	5	m	m	VERB
fumecheng-7527	82	6	m	m	VERB
fumecheng-7527	82	7	m	m	VERB
fumecheng-7527	82	8	m	m	VERB
fumecheng-7527	82	9	m	m	PROPN
fumecheng-7527	82	10			NUM
fumecheng-7527	82	11			NUM
fumecheng-7527	82	12			NUM
fumecheng-7527	82	13			NUM
fumecheng-7527	82	14			PRON
fumecheng-7527	82	15			NUM
fumecheng-7527	82	16			NUM
fumecheng-7527	82	17			NOUN
fumecheng-7527	82	18			PROPN
fumecheng-7527	82	19			NUM
fumecheng-7527	82	20			NUM
fumecheng-7527	82	21			NUM
fumecheng-7527	82	22	−	−	NOUN
fumecheng-7527	82	23	=	=	SYM
fumecheng-7527	82	24	=	=	PUNCT
fumecheng-7527	82	25			X
fumecheng-7527	82	26	+	+	NOUN
fumecheng-7527	82	27	=	=	SYM
fumecheng-7527	82	28	=	=	SYM
fumecheng-7527	82	29	=	=	PUNCT
fumecheng-7527	83	1	+	+	NUM
fumecheng-7527	83	2	−	−	NOUN
fumecheng-7527	83	3	=	=	SYM
fumecheng-7527	83	4	=	=	PUNCT
fumecheng-7527	83	5	=	=	SYM
fumecheng-7527	83	6	−	−	PROPN
fumecheng-7527	83	7	(	(	PUNCT
fumecheng-7527	83	8	10	10	NUM
fumecheng-7527	83	9	)	)	PUNCT
fumecheng-7527	83	10	note	note	NOUN
fumecheng-7527	83	11	that	that	SCONJ
fumecheng-7527	83	12	δ	δ	PROPN
fumecheng-7527	83	13	itself	itself	PRON
fumecheng-7527	83	14	has	have	VERB
fumecheng-7527	83	15	a	a	DET
fumecheng-7527	83	16	weak	weak	ADJ
fumecheng-7527	83	17	dependence	dependence	NOUN
fumecheng-7527	83	18	on	on	ADP
fumecheng-7527	83	19	the	the	DET
fumecheng-7527	83	20	current	current	ADJ
fumecheng-7527	83	21	total	total	ADJ
fumecheng-7527	83	22	indentation	indentation	NOUN
fumecheng-7527	83	23	δh	δh	X
fumecheng-7527	83	24	(	(	PUNCT
fumecheng-7527	83	25	via	via	ADP
fumecheng-7527	83	26	the	the	DET
fumecheng-7527	83	27	normalized	normalize	VERB
fumecheng-7527	83	28	particle	particle	NOUN
fumecheng-7527	83	29	weight	weight	NOUN
fumecheng-7527	83	30	)	)	PUNCT
fumecheng-7527	83	31	.	.	PUNCT
fumecheng-7527	84	1	hence	hence	ADV
fumecheng-7527	84	2	,	,	PUNCT
fumecheng-7527	84	3	the	the	DET
fumecheng-7527	84	4	distribution	distribution	NOUN
fumecheng-7527	84	5	of	of	ADP
fumecheng-7527	84	6	the	the	DET
fumecheng-7527	84	7	total	total	ADJ
fumecheng-7527	84	8	indentation	indentation	NOUN
fumecheng-7527	84	9	into	into	ADP
fumecheng-7527	84	10	the	the	DET
fumecheng-7527	84	11	upper	upper	ADJ
fumecheng-7527	84	12	and	and	CCONJ
fumecheng-7527	84	13	lower	low	ADJ
fumecheng-7527	84	14	side	side	NOUN
fumecheng-7527	84	15	will	will	AUX
fumecheng-7527	84	16	not	not	PART
fumecheng-7527	84	17	be	be	AUX
fumecheng-7527	84	18	universal	universal	ADJ
fumecheng-7527	84	19	during	during	ADP
fumecheng-7527	84	20	the	the	DET
fumecheng-7527	84	21	indentation	indentation	NOUN
fumecheng-7527	84	22	process	process	NOUN
fumecheng-7527	84	23	,	,	PUNCT
fumecheng-7527	84	24	if	if	SCONJ
fumecheng-7527	84	25	there	there	PRON
fumecheng-7527	84	26	are	be	VERB
fumecheng-7527	84	27	external	external	ADJ
fumecheng-7527	84	28	forces	force	NOUN
fumecheng-7527	84	29	acting	act	VERB
fumecheng-7527	84	30	on	on	ADP
fumecheng-7527	84	31	the	the	DET
fumecheng-7527	84	32	debris	debris	NOUN
fumecheng-7527	84	33	particle	particle	NOUN
fumecheng-7527	84	34	.	.	PUNCT
fumecheng-7527	85	1	self	self	NOUN
fumecheng-7527	85	2	-	-	PUNCT
fumecheng-7527	85	3	consistency	consistency	NOUN
fumecheng-7527	85	4	conditions	condition	NOUN
fumecheng-7527	85	5	in	in	ADP
fumecheng-7527	85	6	static	static	ADJ
fumecheng-7527	85	7	three	three	NUM
fumecheng-7527	85	8	-	-	PUNCT
fumecheng-7527	85	9	body	body	NOUN
fumecheng-7527	85	10	elastic	elastic	ADJ
fumecheng-7527	85	11	tangential	tangential	ADJ
fumecheng-7527	85	12	contact	contact	NOUN
fumecheng-7527	85	13	453	453	NUM
fumecheng-7527	85	14	4	4	NUM
fumecheng-7527	85	15	.	.	PUNCT
fumecheng-7527	85	16	tangential	tangential	ADJ
fumecheng-7527	85	17	contact	contact	NOUN
fumecheng-7527	85	18	solution	solution	NOUN
fumecheng-7527	85	19	due	due	ADP
fumecheng-7527	85	20	to	to	ADP
fumecheng-7527	85	21	the	the	DET
fumecheng-7527	85	22	equilibrium	equilibrium	NOUN
fumecheng-7527	85	23	condition	condition	NOUN
fumecheng-7527	85	24	for	for	ADP
fumecheng-7527	85	25	the	the	DET
fumecheng-7527	85	26	moments	moment	NOUN
fumecheng-7527	85	27	of	of	ADP
fumecheng-7527	85	28	forces	force	NOUN
fumecheng-7527	86	1	,	,	PUNCT
fumecheng-7527	86	2	the	the	DET
fumecheng-7527	86	3	normal	normal	ADJ
fumecheng-7527	86	4	and	and	CCONJ
fumecheng-7527	86	5	tangential	tangential	ADJ
fumecheng-7527	86	6	contact	contact	NOUN
fumecheng-7527	86	7	problems	problem	NOUN
fumecheng-7527	86	8	are	be	AUX
fumecheng-7527	86	9	coupled	couple	VERB
fumecheng-7527	86	10	macroscopically	macroscopically	ADV
fumecheng-7527	86	11	and	and	CCONJ
fumecheng-7527	86	12	therefore	therefore	ADV
fumecheng-7527	86	13	must	must	AUX
fumecheng-7527	86	14	be	be	AUX
fumecheng-7527	86	15	solved	solve	VERB
fumecheng-7527	86	16	together	together	ADV
fumecheng-7527	86	17	.	.	PUNCT
fumecheng-7527	87	1	suppose	suppose	VERB
fumecheng-7527	87	2	the	the	DET
fumecheng-7527	87	3	upper	upper	ADJ
fumecheng-7527	87	4	half	half	ADJ
fumecheng-7527	87	5	-	-	PUNCT
fumecheng-7527	87	6	space	space	NOUN
fumecheng-7527	87	7	is	be	AUX
fumecheng-7527	87	8	displaced	displace	VERB
fumecheng-7527	87	9	in	in	ADP
fumecheng-7527	87	10	the	the	DET
fumecheng-7527	87	11	tangential	tangential	ADJ
fumecheng-7527	87	12	direction	direction	NOUN
fumecheng-7527	87	13	by	by	ADP
fumecheng-7527	87	14	δu	δu	NOUN
fumecheng-7527	87	15	,	,	PUNCT
fumecheng-7527	87	16	according	accord	VERB
fumecheng-7527	87	17	to	to	ADP
fumecheng-7527	87	18	some	some	DET
fumecheng-7527	87	19	loading	loading	NOUN
fumecheng-7527	87	20	history	history	NOUN
fumecheng-7527	87	21	δu	δu	ADP
fumecheng-7527	87	22	=	=	SYM
fumecheng-7527	87	23	δu(δh	δu(δh	NOUN
fumecheng-7527	87	24	)	)	PUNCT
fumecheng-7527	87	25	.	.	PUNCT
fumecheng-7527	88	1	then	then	ADV
fumecheng-7527	88	2	,	,	PUNCT
fumecheng-7527	88	3	the	the	DET
fumecheng-7527	88	4	relative	relative	ADJ
fumecheng-7527	88	5	tangential	tangential	ADJ
fumecheng-7527	88	6	displacements	displacement	NOUN
fumecheng-7527	88	7	in	in	ADP
fumecheng-7527	88	8	the	the	DET
fumecheng-7527	88	9	contact	contact	NOUN
fumecheng-7527	88	10	spots	spot	NOUN
fumecheng-7527	88	11	are	be	AUX
fumecheng-7527	88	12	given	give	VERB
fumecheng-7527	88	13	by	by	ADP
fumecheng-7527	88	14	1	1	NUM
fumecheng-7527	88	15	1	1	NUM
fumecheng-7527	88	16	2	2	NUM
fumecheng-7527	88	17	3	3	NUM
fumecheng-7527	88	18	2	2	NUM
fumecheng-7527	88	19	,	,	PUNCT
fumecheng-7527	88	20	.	.	PUNCT
fumecheng-7527	89	1	s	s	PART
fumecheng-7527	90	1	s	s	VERB
fumecheng-7527	90	2	u	u	X
fumecheng-7527	90	3	u	u	NOUN
fumecheng-7527	90	4	u	u	NOUN
fumecheng-7527	90	5	z	z	PROPN
fumecheng-7527	90	6	u	u	NOUN
fumecheng-7527	90	7	u	u	X
fumecheng-7527	90	8	u	u	NOUN
fumecheng-7527	90	9	z	z	PROPN
fumecheng-7527	90	10			PROPN
fumecheng-7527	90	11			PROPN
fumecheng-7527	90	12	=	=	PUNCT
fumecheng-7527	90	13			NOUN
fumecheng-7527	90	14	−	−	PROPN
fumecheng-7527	91	1	+	+	NOUN
fumecheng-7527	91	2	=	=	SYM
fumecheng-7527	91	3	=	=	SYM
fumecheng-7527	91	4	−	−	PROPN
fumecheng-7527	91	5	(	(	PUNCT
fumecheng-7527	91	6	11	11	NUM
fumecheng-7527	91	7	)	)	PUNCT
fumecheng-7527	91	8	all	all	DET
fumecheng-7527	91	9	tangential	tangential	ADJ
fumecheng-7527	91	10	forces	force	NOUN
fumecheng-7527	91	11	are	be	AUX
fumecheng-7527	91	12	functions	function	NOUN
fumecheng-7527	91	13	of	of	ADP
fumecheng-7527	91	14	these	these	DET
fumecheng-7527	91	15	displacements	displacement	NOUN
fumecheng-7527	91	16	,	,	PUNCT
fumecheng-7527	91	17	(	(	PUNCT
fumecheng-7527	91	18	)	)	PUNCT
fumecheng-7527	91	19	,	,	PUNCT
fumecheng-7527	92	1	1,2,3.i	1,2,3.i	NUM
fumecheng-7527	93	1	i	i	PRON
fumecheng-7527	93	2	it	it	PRON
fumecheng-7527	93	3	t	t	VERB
fumecheng-7527	93	4	u	u	NOUN
fumecheng-7527	93	5	i=	i=	PROPN
fumecheng-7527	93	6	=	=	SYM
fumecheng-7527	93	7	(	(	PUNCT
fumecheng-7527	93	8	12	12	NUM
fumecheng-7527	93	9	)	)	PUNCT
fumecheng-7527	93	10	however	however	ADV
fumecheng-7527	93	11	,	,	PUNCT
fumecheng-7527	93	12	the	the	DET
fumecheng-7527	93	13	precise	precise	ADJ
fumecheng-7527	93	14	form	form	NOUN
fumecheng-7527	93	15	of	of	ADP
fumecheng-7527	93	16	those	those	DET
fumecheng-7527	93	17	functions	function	NOUN
fumecheng-7527	93	18	depends	depend	VERB
fumecheng-7527	93	19	on	on	ADP
fumecheng-7527	93	20	the	the	DET
fumecheng-7527	93	21	loading	loading	NOUN
fumecheng-7527	93	22	history	history	NOUN
fumecheng-7527	93	23	,	,	PUNCT
fumecheng-7527	93	24	and	and	CCONJ
fumecheng-7527	93	25	therefore	therefore	ADV
fumecheng-7527	93	26	,	,	PUNCT
fumecheng-7527	93	27	on	on	ADP
fumecheng-7527	93	28	all	all	DET
fumecheng-7527	93	29	system	system	NOUN
fumecheng-7527	93	30	parameters	parameter	NOUN
fumecheng-7527	93	31	.	.	PUNCT
fumecheng-7527	94	1	because	because	SCONJ
fumecheng-7527	94	2	of	of	ADP
fumecheng-7527	94	3	that	that	SCONJ
fumecheng-7527	94	4	it	it	PRON
fumecheng-7527	94	5	is	be	AUX
fumecheng-7527	94	6	not	not	PART
fumecheng-7527	94	7	feasible	feasible	ADJ
fumecheng-7527	94	8	–	–	PUNCT
fumecheng-7527	94	9	although	although	SCONJ
fumecheng-7527	94	10	theoretically	theoretically	ADV
fumecheng-7527	94	11	possible	possible	ADJ
fumecheng-7527	94	12	based	base	VERB
fumecheng-7527	94	13	on	on	ADP
fumecheng-7527	94	14	the	the	DET
fumecheng-7527	94	15	known	know	VERB
fumecheng-7527	94	16	solution	solution	NOUN
fumecheng-7527	94	17	procedures	procedure	NOUN
fumecheng-7527	94	18	for	for	ADP
fumecheng-7527	94	19	tangential	tangential	ADJ
fumecheng-7527	94	20	contact	contact	NOUN
fumecheng-7527	94	21	problems	problem	NOUN
fumecheng-7527	94	22	with	with	ADP
fumecheng-7527	94	23	arbitrary	arbitrary	ADJ
fumecheng-7527	94	24	loading	loading	NOUN
fumecheng-7527	94	25	histories	history	NOUN
fumecheng-7527	94	26	[	[	X
fumecheng-7527	94	27	16	16	NUM
fumecheng-7527	94	28	]	]	PUNCT
fumecheng-7527	94	29	–	–	PUNCT
fumecheng-7527	94	30	to	to	PART
fumecheng-7527	94	31	give	give	VERB
fumecheng-7527	94	32	a	a	DET
fumecheng-7527	94	33	comprehensive	comprehensive	ADJ
fumecheng-7527	94	34	analytic	analytic	ADJ
fumecheng-7527	94	35	solution	solution	NOUN
fumecheng-7527	94	36	for	for	ADP
fumecheng-7527	94	37	ti	ti	NOUN
fumecheng-7527	94	38	.	.	PUNCT
fumecheng-7527	95	1	for	for	ADP
fumecheng-7527	95	2	example	example	NOUN
fumecheng-7527	95	3	,	,	PUNCT
fumecheng-7527	95	4	it	it	PRON
fumecheng-7527	95	5	would	would	AUX
fumecheng-7527	95	6	be	be	AUX
fumecheng-7527	95	7	a	a	DET
fumecheng-7527	95	8	gross	gross	ADJ
fumecheng-7527	95	9	simplification	simplification	NOUN
fumecheng-7527	95	10	to	to	PART
fumecheng-7527	95	11	use	use	VERB
fumecheng-7527	95	12	the	the	DET
fumecheng-7527	95	13	classical	classical	ADJ
fumecheng-7527	95	14	cattaneo	cattaneo	ADJ
fumecheng-7527	95	15	-	-	PUNCT
fumecheng-7527	95	16	mindlin	mindlin	NOUN
fumecheng-7527	95	17	solution	solution	NOUN
fumecheng-7527	95	18	,	,	PUNCT
fumecheng-7527	95	19	that	that	PRON
fumecheng-7527	95	20	is	be	AUX
fumecheng-7527	95	21	valid	valid	ADJ
fumecheng-7527	95	22	only	only	ADV
fumecheng-7527	95	23	for	for	ADP
fumecheng-7527	95	24	a	a	DET
fumecheng-7527	95	25	specific	specific	ADJ
fumecheng-7527	95	26	loading	loading	NOUN
fumecheng-7527	95	27	history	history	NOUN
fumecheng-7527	95	28	,	,	PUNCT
fumecheng-7527	95	29	namely	namely	ADV
fumecheng-7527	95	30	a	a	DET
fumecheng-7527	95	31	constant	constant	ADJ
fumecheng-7527	95	32	normal	normal	ADJ
fumecheng-7527	95	33	force	force	NOUN
fumecheng-7527	95	34	and	and	CCONJ
fumecheng-7527	95	35	a	a	DET
fumecheng-7527	95	36	subsequently	subsequently	ADV
fumecheng-7527	95	37	applied	apply	VERB
fumecheng-7527	95	38	increasing	increase	VERB
fumecheng-7527	95	39	tangential	tangential	ADJ
fumecheng-7527	95	40	force	force	NOUN
fumecheng-7527	95	41	(	(	PUNCT
fumecheng-7527	95	42	which	which	PRON
fumecheng-7527	95	43	clearly	clearly	ADV
fumecheng-7527	95	44	contradicts	contradict	VERB
fumecheng-7527	95	45	the	the	DET
fumecheng-7527	95	46	global	global	ADJ
fumecheng-7527	95	47	equilibrium	equilibrium	NOUN
fumecheng-7527	95	48	conditions	condition	NOUN
fumecheng-7527	95	49	)	)	PUNCT
fumecheng-7527	95	50	.	.	PUNCT
fumecheng-7527	96	1	nonetheless	nonetheless	ADV
fumecheng-7527	96	2	,	,	PUNCT
fumecheng-7527	96	3	a	a	DET
fumecheng-7527	96	4	numerical	numerical	ADJ
fumecheng-7527	96	5	determination	determination	NOUN
fumecheng-7527	96	6	for	for	ADP
fumecheng-7527	96	7	a	a	DET
fumecheng-7527	96	8	concrete	concrete	ADJ
fumecheng-7527	96	9	parameter	parameter	NOUN
fumecheng-7527	96	10	set	set	NOUN
fumecheng-7527	96	11	is	be	AUX
fumecheng-7527	96	12	easy	easy	ADJ
fumecheng-7527	96	13	,	,	PUNCT
fumecheng-7527	96	14	for	for	ADP
fumecheng-7527	96	15	example	example	NOUN
fumecheng-7527	96	16	within	within	ADP
fumecheng-7527	96	17	the	the	DET
fumecheng-7527	96	18	frameworks	framework	NOUN
fumecheng-7527	96	19	of	of	ADP
fumecheng-7527	96	20	the	the	DET
fumecheng-7527	96	21	method	method	NOUN
fumecheng-7527	96	22	of	of	ADP
fumecheng-7527	96	23	dimensionality	dimensionality	NOUN
fumecheng-7527	96	24	reduction	reduction	NOUN
fumecheng-7527	96	25	[	[	X
fumecheng-7527	96	26	17	17	NUM
fumecheng-7527	96	27	]	]	PUNCT
fumecheng-7527	96	28	or	or	CCONJ
fumecheng-7527	96	29	the	the	DET
fumecheng-7527	96	30	method	method	NOUN
fumecheng-7527	96	31	of	of	ADP
fumecheng-7527	96	32	memory	memory	NOUN
fumecheng-7527	96	33	diagrams	diagram	NOUN
fumecheng-7527	96	34	[	[	X
fumecheng-7527	96	35	18	18	NUM
fumecheng-7527	96	36	]	]	PUNCT
fumecheng-7527	96	37	.	.	PUNCT
fumecheng-7527	97	1	once	once	SCONJ
fumecheng-7527	97	2	the	the	DET
fumecheng-7527	97	3	force	force	NOUN
fumecheng-7527	97	4	laws	law	NOUN
fumecheng-7527	97	5	for	for	ADP
fumecheng-7527	97	6	the	the	DET
fumecheng-7527	97	7	tangential	tangential	ADJ
fumecheng-7527	97	8	forces	force	NOUN
fumecheng-7527	97	9	are	be	AUX
fumecheng-7527	97	10	known	know	VERB
fumecheng-7527	97	11	,	,	PUNCT
fumecheng-7527	97	12	the	the	DET
fumecheng-7527	97	13	global	global	ADJ
fumecheng-7527	97	14	equilibrium	equilibrium	NOUN
fumecheng-7527	97	15	conditions	condition	NOUN
fumecheng-7527	97	16	(	(	PUNCT
fumecheng-7527	97	17	1	1	X
fumecheng-7527	97	18	)	)	PUNCT
fumecheng-7527	97	19	provide	provide	VERB
fumecheng-7527	97	20	an	an	DET
fumecheng-7527	97	21	equation	equation	NOUN
fumecheng-7527	97	22	system	system	NOUN
fumecheng-7527	97	23	for	for	ADP
fumecheng-7527	97	24	the	the	DET
fumecheng-7527	97	25	determination	determination	NOUN
fumecheng-7527	97	26	of	of	ADP
fumecheng-7527	97	27	the	the	DET
fumecheng-7527	97	28	three	three	NUM
fumecheng-7527	97	29	displacements	displacement	NOUN
fumecheng-7527	97	30	,	,	PUNCT
fumecheng-7527	97	31	ws	ws	PROPN
fumecheng-7527	97	32	,	,	PUNCT
fumecheng-7527	97	33	us	us	PROPN
fumecheng-7527	97	34	and	and	CCONJ
fumecheng-7527	97	35	φ	φ	NUM
fumecheng-7527	97	36	.	.	PUNCT
fumecheng-7527	98	1	it	it	PRON
fumecheng-7527	98	2	should	should	AUX
fumecheng-7527	98	3	be	be	AUX
fumecheng-7527	98	4	noted	note	VERB
fumecheng-7527	98	5	that	that	SCONJ
fumecheng-7527	98	6	the	the	DET
fumecheng-7527	98	7	critical	critical	ADJ
fumecheng-7527	98	8	displacement	displacement	NOUN
fumecheng-7527	98	9	,	,	PUNCT
fumecheng-7527	98	10	for	for	ADP
fumecheng-7527	98	11	which	which	PRON
fumecheng-7527	98	12	the	the	DET
fumecheng-7527	98	13	contacts	contact	NOUN
fumecheng-7527	98	14	start	start	VERB
fumecheng-7527	98	15	to	to	PART
fumecheng-7527	98	16	slide	slide	VERB
fumecheng-7527	98	17	globally	globally	ADV
fumecheng-7527	98	18	,	,	PUNCT
fumecheng-7527	98	19	is	be	AUX
fumecheng-7527	98	20	always	always	ADV
fumecheng-7527	98	21	[	[	X
fumecheng-7527	98	22	13	13	NUM
fumecheng-7527	98	23	]	]	PUNCT
fumecheng-7527	98	24	*	*	PUNCT
fumecheng-7527	98	25	,	,	PUNCT
fumecheng-7527	98	26	*	*	PUNCT
fumecheng-7527	98	27	,	,	PUNCT
fumecheng-7527	98	28	i	i	PRON
fumecheng-7527	99	1	i	i	PRON
fumecheng-7527	99	2	c	c	VERB
fumecheng-7527	100	1	i	i	PRON
fumecheng-7527	101	1	i	i	INTJ
fumecheng-7527	101	2	i	i	VERB
fumecheng-7527	102	1	e	e	VERB
fumecheng-7527	102	2	u	u	NOUN
fumecheng-7527	102	3	d	d	X
fumecheng-7527	102	4	g	g	PROPN
fumecheng-7527	102	5	=	=	PROPN
fumecheng-7527	102	6	(	(	PUNCT
fumecheng-7527	102	7	13	13	NUM
fumecheng-7527	102	8	)	)	PUNCT
fumecheng-7527	102	9	with	with	ADP
fumecheng-7527	102	10	the	the	DET
fumecheng-7527	102	11	effective	effective	ADJ
fumecheng-7527	102	12	shear	shear	NOUN
fumecheng-7527	102	13	moduli	modulus	NOUN
fumecheng-7527	102	14	1	1	NUM
fumecheng-7527	102	15	1	1	NUM
fumecheng-7527	102	16	*	*	PUNCT
fumecheng-7527	103	1	*	*	PUNCT
fumecheng-7527	104	1	*	*	PUNCT
fumecheng-7527	104	2	3	3	NUM
fumecheng-7527	104	3	31	31	NUM
fumecheng-7527	104	4	2	2	NUM
fumecheng-7527	104	5	1	1	NUM
fumecheng-7527	104	6	2	2	NUM
fumecheng-7527	104	7	3	3	NUM
fumecheng-7527	104	8	1	1	NUM
fumecheng-7527	104	9	3	3	NUM
fumecheng-7527	104	10	2	2	NUM
fumecheng-7527	104	11	3	3	NUM
fumecheng-7527	104	12	2	2	NUM
fumecheng-7527	104	13	22	22	NUM
fumecheng-7527	104	14	2	2	NUM
fumecheng-7527	104	15	:	:	PUNCT
fumecheng-7527	104	16	,	,	PUNCT
fumecheng-7527	104	17	:	:	PUNCT
fumecheng-7527	104	18	.	.	PUNCT
fumecheng-7527	105	1	4	4	NUM
fumecheng-7527	105	2	4	4	NUM
fumecheng-7527	105	3	4	4	NUM
fumecheng-7527	105	4	4	4	NUM
fumecheng-7527	105	5	v	v	NOUN
fumecheng-7527	105	6	vv	vv	NOUN
fumecheng-7527	105	7	v	v	NOUN
fumecheng-7527	105	8	g	g	NOUN
fumecheng-7527	105	9	g	g	NOUN
fumecheng-7527	105	10	g	g	PROPN
fumecheng-7527	105	11	g	g	PROPN
fumecheng-7527	105	12	g	g	PROPN
fumecheng-7527	105	13	g	g	PROPN
fumecheng-7527	105	14	g	g	PROPN
fumecheng-7527	105	15	−	−	PROPN
fumecheng-7527	105	16	−	−	PROPN
fumecheng-7527	105	17			NOUN
fumecheng-7527	105	18			PROPN
fumecheng-7527	105	19			NOUN
fumecheng-7527	105	20	−	−	PROPN
fumecheng-7527	105	21	−−	−−	NOUN
fumecheng-7527	105	22	−	−	PROPN
fumecheng-7527	106	1	=	=	PUNCT
fumecheng-7527	107	1	+	+	PUNCT
fumecheng-7527	107	2	=	=	PUNCT
fumecheng-7527	107	3	=	=	PUNCT
fumecheng-7527	108	1	+	+	NUM
fumecheng-7527	108	2			PROPN
fumecheng-7527	108	3			PROPN
fumecheng-7527	109	1			PROPN
fumecheng-7527	109	2			PROPN
fumecheng-7527	110	1			ADJ
fumecheng-7527	110	2			PROPN
fumecheng-7527	110	3			PROPN
fumecheng-7527	110	4			NOUN
fumecheng-7527	110	5	(	(	PUNCT
fumecheng-7527	110	6	14	14	NUM
fumecheng-7527	110	7	)	)	PUNCT
fumecheng-7527	110	8	hence	hence	ADV
fumecheng-7527	110	9	,	,	PUNCT
fumecheng-7527	110	10	all	all	DET
fumecheng-7527	110	11	contacts	contact	NOUN
fumecheng-7527	110	12	on	on	ADP
fumecheng-7527	110	13	one	one	NUM
fumecheng-7527	110	14	side	side	NOUN
fumecheng-7527	110	15	will	will	AUX
fumecheng-7527	110	16	to	to	PART
fumecheng-7527	110	17	start	start	VERB
fumecheng-7527	110	18	to	to	PART
fumecheng-7527	110	19	slide	slide	VERB
fumecheng-7527	110	20	at	at	ADP
fumecheng-7527	110	21	the	the	DET
fumecheng-7527	110	22	same	same	ADJ
fumecheng-7527	110	23	time	time	NOUN
fumecheng-7527	110	24	if	if	SCONJ
fumecheng-7527	110	25	they	they	PRON
fumecheng-7527	110	26	have	have	VERB
fumecheng-7527	110	27	the	the	DET
fumecheng-7527	110	28	same	same	ADJ
fumecheng-7527	110	29	indentation	indentation	NOUN
fumecheng-7527	110	30	depth	depth	NOUN
fumecheng-7527	110	31	,	,	PUNCT
fumecheng-7527	110	32	independent	independent	ADJ
fumecheng-7527	110	33	of	of	ADP
fumecheng-7527	110	34	their	their	PRON
fumecheng-7527	110	35	local	local	ADJ
fumecheng-7527	110	36	radii	radius	NOUN
fumecheng-7527	110	37	of	of	ADP
fumecheng-7527	110	38	curvature	curvature	NOUN
fumecheng-7527	110	39	.	.	PUNCT
fumecheng-7527	111	1	when	when	SCONJ
fumecheng-7527	111	2	all	all	DET
fumecheng-7527	111	3	contacts	contact	NOUN
fumecheng-7527	111	4	are	be	AUX
fumecheng-7527	111	5	sliding	slide	VERB
fumecheng-7527	111	6	,	,	PUNCT
fumecheng-7527	111	7	the	the	DET
fumecheng-7527	111	8	tangential	tangential	ADJ
fumecheng-7527	111	9	problem	problem	NOUN
fumecheng-7527	111	10	becomes	become	VERB
fumecheng-7527	111	11	trivial	trivial	ADJ
fumecheng-7527	111	12	,	,	PUNCT
fumecheng-7527	111	13	and	and	CCONJ
fumecheng-7527	111	14	all	all	DET
fumecheng-7527	111	15	tangential	tangential	ADJ
fumecheng-7527	111	16	forces	force	NOUN
fumecheng-7527	111	17	are	be	AUX
fumecheng-7527	111	18	given	give	VERB
fumecheng-7527	111	19	by	by	ADP
fumecheng-7527	111	20	the	the	DET
fumecheng-7527	111	21	amontons	amonton	NOUN
fumecheng-7527	111	22	-	-	PUNCT
fumecheng-7527	111	23	coulomb	coulomb	NOUN
fumecheng-7527	111	24	law	law	NOUN
fumecheng-7527	111	25	.i	.i	NOUN
fumecheng-7527	112	1	i	i	PRON
fumecheng-7527	112	2	it	it	PRON
fumecheng-7527	112	3	n=	n=	ADV
fumecheng-7527	112	4	(	(	PUNCT
fumecheng-7527	112	5	15	15	NUM
fumecheng-7527	112	6	)	)	PUNCT
fumecheng-7527	112	7	to	to	PART
fumecheng-7527	112	8	illustrate	illustrate	VERB
fumecheng-7527	112	9	the	the	DET
fumecheng-7527	112	10	importance	importance	NOUN
fumecheng-7527	112	11	of	of	ADP
fumecheng-7527	112	12	the	the	DET
fumecheng-7527	112	13	loading	loading	NOUN
fumecheng-7527	112	14	history	history	NOUN
fumecheng-7527	112	15	once	once	ADV
fumecheng-7527	112	16	again	again	ADV
fumecheng-7527	112	17	for	for	ADP
fumecheng-7527	112	18	the	the	DET
fumecheng-7527	112	19	tangential	tangential	ADJ
fumecheng-7527	112	20	contact	contact	NOUN
fumecheng-7527	112	21	solution	solution	NOUN
fumecheng-7527	112	22	,	,	PUNCT
fumecheng-7527	112	23	let	let	VERB
fumecheng-7527	112	24	us	we	PRON
fumecheng-7527	112	25	consider	consider	VERB
fumecheng-7527	112	26	a	a	DET
fumecheng-7527	112	27	simple	simple	ADJ
fumecheng-7527	112	28	(	(	PUNCT
fumecheng-7527	112	29	but	but	CCONJ
fumecheng-7527	112	30	somewhat	somewhat	ADV
fumecheng-7527	112	31	academic	academic	ADJ
fumecheng-7527	112	32	)	)	PUNCT
fumecheng-7527	112	33	non	non	ADJ
fumecheng-7527	112	34	-	-	ADJ
fumecheng-7527	112	35	sliding	sliding	ADJ
fumecheng-7527	112	36	case	case	NOUN
fumecheng-7527	112	37	,	,	PUNCT
fumecheng-7527	112	38	which	which	PRON
fumecheng-7527	112	39	can	can	AUX
fumecheng-7527	112	40	be	be	AUX
fumecheng-7527	112	41	easily	easily	ADV
fumecheng-7527	112	42	solved	solve	VERB
fumecheng-7527	112	43	in	in	ADP
fumecheng-7527	112	44	exact	exact	ADJ
fumecheng-7527	112	45	analytic	analytic	ADJ
fumecheng-7527	112	46	form	form	NOUN
fumecheng-7527	112	47	,	,	PUNCT
fumecheng-7527	112	48	namely	namely	ADV
fumecheng-7527	112	49	the	the	DET
fumecheng-7527	112	50	two	two	NUM
fumecheng-7527	112	51	-	-	PUNCT
fumecheng-7527	112	52	contact	contact	NOUN
fumecheng-7527	112	53	configuration	configuration	NOUN
fumecheng-7527	112	54	without	without	ADP
fumecheng-7527	112	55	external	external	ADJ
fumecheng-7527	112	56	forces	force	NOUN
fumecheng-7527	112	57	.	.	PUNCT
fumecheng-7527	113	1	454	454	NUM
fumecheng-7527	113	2	e.	e.	PROPN
fumecheng-7527	113	3	willert	willert	PROPN
fumecheng-7527	113	4	if	if	SCONJ
fumecheng-7527	113	5	we	we	PRON
fumecheng-7527	113	6	set	set	VERB
fumecheng-7527	113	7	n3	n3	NOUN
fumecheng-7527	113	8	=	=	SYM
fumecheng-7527	113	9	t3	t3	PROPN
fumecheng-7527	113	10	=	=	PUNCT
fumecheng-7527	113	11	mg	mg	PROPN
fumecheng-7527	113	12	=	=	SYM
fumecheng-7527	113	13	0	0	NUM
fumecheng-7527	113	14	,	,	PUNCT
fumecheng-7527	113	15	equilibrium	equilibrium	NOUN
fumecheng-7527	113	16	of	of	ADP
fumecheng-7527	113	17	the	the	DET
fumecheng-7527	113	18	forces	force	NOUN
fumecheng-7527	113	19	demands	demand	VERB
fumecheng-7527	113	20	that	that	SCONJ
fumecheng-7527	113	21	the	the	DET
fumecheng-7527	113	22	contact	contact	NOUN
fumecheng-7527	113	23	forces	force	NOUN
fumecheng-7527	113	24	on	on	ADP
fumecheng-7527	113	25	both	both	DET
fumecheng-7527	113	26	sides	side	NOUN
fumecheng-7527	113	27	are	be	AUX
fumecheng-7527	113	28	equal	equal	ADJ
fumecheng-7527	113	29	and	and	CCONJ
fumecheng-7527	113	30	opposite	opposite	ADJ
fumecheng-7527	113	31	and	and	CCONJ
fumecheng-7527	113	32	the	the	DET
fumecheng-7527	113	33	equilibrium	equilibrium	NOUN
fumecheng-7527	113	34	condition	condition	NOUN
fumecheng-7527	113	35	for	for	ADP
fumecheng-7527	113	36	the	the	DET
fumecheng-7527	113	37	moment	moment	NOUN
fumecheng-7527	113	38	of	of	ADP
fumecheng-7527	113	39	forces	force	NOUN
fumecheng-7527	113	40	reduces	reduce	VERB
fumecheng-7527	113	41	to	to	ADP
fumecheng-7527	113	42	1	1	NUM
fumecheng-7527	113	43	2	2	NUM
fumecheng-7527	113	44	:	:	PUNCT
fumecheng-7527	113	45	tan	tan	PROPN
fumecheng-7527	113	46	.	.	PUNCT
fumecheng-7527	114	1	x	x	PUNCT
fumecheng-7527	115	1	x	x	SYM
fumecheng-7527	115	2	t	t	PROPN
fumecheng-7527	115	3	n	n	CCONJ
fumecheng-7527	115	4	n	n	NOUN
fumecheng-7527	115	5	h	h	NOUN
fumecheng-7527	115	6			NOUN
fumecheng-7527	115	7	−	−	NOUN
fumecheng-7527	115	8	=	=	SYM
fumecheng-7527	115	9	=	=	SYM
fumecheng-7527	115	10	(	(	PUNCT
fumecheng-7527	115	11	16	16	NUM
fumecheng-7527	115	12	)	)	PUNCT
fumecheng-7527	115	13	hence	hence	ADV
fumecheng-7527	115	14	,	,	PUNCT
fumecheng-7527	115	15	during	during	ADP
fumecheng-7527	115	16	loading	load	VERB
fumecheng-7527	115	17	the	the	DET
fumecheng-7527	115	18	tangential	tangential	ADJ
fumecheng-7527	115	19	contact	contact	NOUN
fumecheng-7527	115	20	force	force	NOUN
fumecheng-7527	115	21	always	always	ADV
fumecheng-7527	115	22	has	have	VERB
fumecheng-7527	115	23	to	to	PART
fumecheng-7527	115	24	be	be	AUX
fumecheng-7527	115	25	proportional	proportional	ADJ
fumecheng-7527	115	26	to	to	ADP
fumecheng-7527	115	27	the	the	DET
fumecheng-7527	115	28	normal	normal	ADJ
fumecheng-7527	115	29	force	force	NOUN
fumecheng-7527	115	30	and	and	CCONJ
fumecheng-7527	115	31	this	this	PRON
fumecheng-7527	115	32	,	,	PUNCT
fumecheng-7527	115	33	of	of	ADP
fumecheng-7527	115	34	course	course	NOUN
fumecheng-7527	115	35	,	,	PUNCT
fumecheng-7527	115	36	also	also	ADV
fumecheng-7527	115	37	always	always	ADV
fumecheng-7527	115	38	has	have	VERB
fumecheng-7527	115	39	to	to	PART
fumecheng-7527	115	40	be	be	AUX
fumecheng-7527	115	41	true	true	ADJ
fumecheng-7527	115	42	for	for	SCONJ
fumecheng-7527	115	43	the	the	DET
fumecheng-7527	115	44	force	force	NOUN
fumecheng-7527	115	45	increments	increment	VERB
fumecheng-7527	115	46	dn	dn	PROPN
fumecheng-7527	115	47	and	and	CCONJ
fumecheng-7527	115	48	dt	dt	PROPN
fumecheng-7527	115	49	.	.	PUNCT
fumecheng-7527	115	50	consider	consider	VERB
fumecheng-7527	115	51	a	a	DET
fumecheng-7527	115	52	given	give	VERB
fumecheng-7527	115	53	equilibrium	equilibrium	NOUN
fumecheng-7527	115	54	with	with	ADP
fumecheng-7527	115	55	the	the	DET
fumecheng-7527	115	56	forces	force	NOUN
fumecheng-7527	115	57	n	n	NOUN
fumecheng-7527	115	58	and	and	CCONJ
fumecheng-7527	115	59	t	t	PROPN
fumecheng-7527	115	60	and	and	CCONJ
fumecheng-7527	115	61	the	the	DET
fumecheng-7527	115	62	contact	contact	NOUN
fumecheng-7527	115	63	radius	radius	NOUN
fumecheng-7527	115	64	a.	a.	NOUN
fumecheng-7527	115	65	now	now	ADV
fumecheng-7527	115	66	,	,	PUNCT
fumecheng-7527	115	67	the	the	DET
fumecheng-7527	115	68	normal	normal	ADJ
fumecheng-7527	115	69	force	force	NOUN
fumecheng-7527	115	70	is	be	AUX
fumecheng-7527	115	71	increased	increase	VERB
fumecheng-7527	115	72	by	by	ADP
fumecheng-7527	115	73	dn	dn	PROPN
fumecheng-7527	115	74	,	,	PUNCT
fumecheng-7527	115	75	which	which	PRON
fumecheng-7527	115	76	according	accord	VERB
fumecheng-7527	115	77	to	to	ADP
fumecheng-7527	115	78	the	the	DET
fumecheng-7527	115	79	hertzian	hertzian	PROPN
fumecheng-7527	115	80	theory	theory	NOUN
fumecheng-7527	115	81	results	result	VERB
fumecheng-7527	115	82	in	in	ADP
fumecheng-7527	115	83	a	a	DET
fumecheng-7527	115	84	new	new	ADJ
fumecheng-7527	115	85	contact	contact	NOUN
fumecheng-7527	115	86	radius	radius	NOUN
fumecheng-7527	116	1	[	[	X
fumecheng-7527	116	2	13	13	NUM
fumecheng-7527	116	3	]	]	SYM
fumecheng-7527	117	1	1/3	1/3	NUM
fumecheng-7527	117	2	d	d	X
fumecheng-7527	117	3	d	d	PROPN
fumecheng-7527	117	4	1	1	NUM
fumecheng-7527	117	5	.	.	PUNCT
fumecheng-7527	118	1	n	n	CCONJ
fumecheng-7527	118	2	a	a	DET
fumecheng-7527	118	3	a	a	DET
fumecheng-7527	118	4	a	a	PRON
fumecheng-7527	118	5	n	n	CCONJ
fumecheng-7527	118	6			NOUN
fumecheng-7527	118	7			NOUN
fumecheng-7527	118	8	+	+	CCONJ
fumecheng-7527	118	9	=	=	PUNCT
fumecheng-7527	119	1	+	+	ADJ
fumecheng-7527	119	2			PROPN
fumecheng-7527	119	3			CCONJ
fumecheng-7527	119	4			PROPN
fumecheng-7527	119	5			NOUN
fumecheng-7527	119	6	(	(	PUNCT
fumecheng-7527	119	7	17	17	NUM
fumecheng-7527	119	8	)	)	PUNCT
fumecheng-7527	119	9	irrespective	irrespective	ADV
fumecheng-7527	119	10	of	of	ADP
fumecheng-7527	119	11	the	the	DET
fumecheng-7527	119	12	previous	previous	ADJ
fumecheng-7527	119	13	load	load	NOUN
fumecheng-7527	119	14	history	history	NOUN
fumecheng-7527	119	15	,	,	PUNCT
fumecheng-7527	119	16	the	the	DET
fumecheng-7527	119	17	entire	entire	ADJ
fumecheng-7527	119	18	contact	contact	NOUN
fumecheng-7527	119	19	area	area	NOUN
fumecheng-7527	119	20	will	will	AUX
fumecheng-7527	119	21	initially	initially	ADV
fumecheng-7527	119	22	completely	completely	ADV
fumecheng-7527	119	23	adhere	adhere	VERB
fumecheng-7527	119	24	(	(	PUNCT
fumecheng-7527	119	25	according	accord	VERB
fumecheng-7527	119	26	to	to	ADP
fumecheng-7527	119	27	amontons	amonton	NOUN
fumecheng-7527	119	28	’	'	PUNCT
fumecheng-7527	119	29	law	law	NOUN
fumecheng-7527	119	30	,	,	PUNCT
fumecheng-7527	119	31	the	the	DET
fumecheng-7527	119	32	slip	slip	NOUN
fumecheng-7527	119	33	area	area	NOUN
fumecheng-7527	119	34	is	be	AUX
fumecheng-7527	119	35	constantly	constantly	ADV
fumecheng-7527	119	36	at	at	ADP
fumecheng-7527	119	37	the	the	DET
fumecheng-7527	119	38	limit	limit	NOUN
fumecheng-7527	119	39	of	of	ADP
fumecheng-7527	119	40	possible	possible	ADJ
fumecheng-7527	119	41	sticking	sticking	NOUN
fumecheng-7527	119	42	,	,	PUNCT
fumecheng-7527	119	43	a	a	DET
fumecheng-7527	119	44	slight	slight	ADJ
fumecheng-7527	119	45	increase	increase	NOUN
fumecheng-7527	119	46	in	in	ADP
fumecheng-7527	119	47	pressure	pressure	NOUN
fumecheng-7527	119	48	leads	lead	VERB
fumecheng-7527	119	49	to	to	PART
fumecheng-7527	119	50	complete	complete	VERB
fumecheng-7527	119	51	sticking	sticking	NOUN
fumecheng-7527	119	52	)	)	PUNCT
fumecheng-7527	119	53	.	.	PUNCT
fumecheng-7527	120	1	by	by	ADP
fumecheng-7527	120	2	applying	apply	VERB
fumecheng-7527	120	3	an	an	DET
fumecheng-7527	120	4	additional	additional	ADJ
fumecheng-7527	120	5	incremental	incremental	ADJ
fumecheng-7527	120	6	force	force	NOUN
fumecheng-7527	120	7	dt	dt	PROPN
fumecheng-7527	120	8	,	,	PUNCT
fumecheng-7527	120	9	however	however	ADV
fumecheng-7527	120	10	,	,	PUNCT
fumecheng-7527	120	11	local	local	ADJ
fumecheng-7527	120	12	slip	slip	NOUN
fumecheng-7527	120	13	can	can	AUX
fumecheng-7527	120	14	again	again	ADV
fumecheng-7527	120	15	spread	spread	VERB
fumecheng-7527	120	16	from	from	ADP
fumecheng-7527	120	17	the	the	DET
fumecheng-7527	120	18	edge	edge	NOUN
fumecheng-7527	120	19	of	of	ADP
fumecheng-7527	120	20	the	the	DET
fumecheng-7527	120	21	contact	contact	NOUN
fumecheng-7527	120	22	.	.	PUNCT
fumecheng-7527	121	1	the	the	DET
fumecheng-7527	121	2	stick	stick	NOUN
fumecheng-7527	121	3	radius	radius	NOUN
fumecheng-7527	121	4	c	c	PROPN
fumecheng-7527	121	5	is	be	AUX
fumecheng-7527	121	6	given	give	VERB
fumecheng-7527	121	7	by	by	ADP
fumecheng-7527	121	8	the	the	DET
fumecheng-7527	121	9	cattaneo	cattaneo	PROPN
fumecheng-7527	121	10	-	-	PUNCT
fumecheng-7527	121	11	mindlin	mindlin	PROPN
fumecheng-7527	121	12	theory	theory	NOUN
fumecheng-7527	121	13	and	and	CCONJ
fumecheng-7527	121	14	equals	equal	VERB
fumecheng-7527	121	15	[	[	PUNCT
fumecheng-7527	121	16	13	13	NUM
fumecheng-7527	121	17	]	]	SYM
fumecheng-7527	121	18	1/3	1/3	NUM
fumecheng-7527	121	19	1/3	1/3	NUM
fumecheng-7527	121	20	d	d	X
fumecheng-7527	121	21	d	d	X
fumecheng-7527	121	22	(	(	PUNCT
fumecheng-7527	121	23	d	d	NOUN
fumecheng-7527	121	24	)	)	PUNCT
fumecheng-7527	121	25	1	1	NUM
fumecheng-7527	121	26	1	1	NUM
fumecheng-7527	121	27	.	.	PUNCT
fumecheng-7527	122	1	(	(	PUNCT
fumecheng-7527	122	2	d	d	X
fumecheng-7527	122	3	)	)	PUNCT
fumecheng-7527	122	4	dt	dt	PROPN
fumecheng-7527	123	1	n	n	PRON
fumecheng-7527	123	2	t	t	X
fumecheng-7527	123	3	c	c	PROPN
fumecheng-7527	123	4	a	a	DET
fumecheng-7527	123	5	a	a	DET
fumecheng-7527	123	6	a	a	DET
fumecheng-7527	123	7	n	n	CCONJ
fumecheng-7527	123	8	n	n	CCONJ
fumecheng-7527	123	9	n	n	ADV
fumecheng-7527	123	10	n	n	NUM
fumecheng-7527	123	11			NOUN
fumecheng-7527	123	12			NOUN
fumecheng-7527	123	13			NOUN
fumecheng-7527	123	14			NOUN
fumecheng-7527	123	15			NOUN
fumecheng-7527	123	16	=	=	PUNCT
fumecheng-7527	124	1	+	+	NUM
fumecheng-7527	124	2	−	−	PROPN
fumecheng-7527	125	1	=	=	SYM
fumecheng-7527	126	1	+	+	NUM
fumecheng-7527	126	2	−	−	PROPN
fumecheng-7527	127	1			PROPN
fumecheng-7527	128	1			PROPN
fumecheng-7527	128	2			PROPN
fumecheng-7527	129	1	+	+	CCONJ
fumecheng-7527	129	2			ADJ
fumecheng-7527	129	3			NOUN
fumecheng-7527	129	4			NOUN
fumecheng-7527	129	5	(	(	PUNCT
fumecheng-7527	129	6	18	18	NUM
fumecheng-7527	129	7	)	)	PUNCT
fumecheng-7527	129	8	if	if	SCONJ
fumecheng-7527	129	9	c	c	PROPN
fumecheng-7527	129	10	>	>	X
fumecheng-7527	129	11	a	a	X
fumecheng-7527	129	12	,	,	PUNCT
fumecheng-7527	129	13	the	the	DET
fumecheng-7527	129	14	contact	contact	NOUN
fumecheng-7527	129	15	area	area	NOUN
fumecheng-7527	129	16	increases	increase	VERB
fumecheng-7527	129	17	faster	fast	ADV
fumecheng-7527	129	18	than	than	SCONJ
fumecheng-7527	129	19	slip	slip	NOUN
fumecheng-7527	129	20	can	can	AUX
fumecheng-7527	129	21	propagate	propagate	VERB
fumecheng-7527	129	22	into	into	ADP
fumecheng-7527	129	23	the	the	DET
fumecheng-7527	129	24	contact	contact	NOUN
fumecheng-7527	129	25	,	,	PUNCT
fumecheng-7527	129	26	i.e.	i.e.	X
fumecheng-7527	129	27	,	,	PUNCT
fumecheng-7527	129	28	the	the	DET
fumecheng-7527	129	29	contact	contact	NOUN
fumecheng-7527	129	30	will	will	AUX
fumecheng-7527	129	31	always	always	ADV
fumecheng-7527	129	32	be	be	AUX
fumecheng-7527	129	33	completely	completely	ADV
fumecheng-7527	129	34	sticking	stick	VERB
fumecheng-7527	129	35	.	.	PUNCT
fumecheng-7527	130	1	this	this	PRON
fumecheng-7527	130	2	leads	lead	VERB
fumecheng-7527	130	3	to	to	ADP
fumecheng-7527	130	4	the	the	DET
fumecheng-7527	130	5	condition	condition	NOUN
fumecheng-7527	130	6	tan	tan	PROPN
fumecheng-7527	130	7	.	.	PROPN
fumecheng-7527	131	1			PROPN
fumecheng-7527	131	2	(	(	PUNCT
fumecheng-7527	131	3	19	19	NUM
fumecheng-7527	131	4	)	)	PUNCT
fumecheng-7527	131	5	hence	hence	ADV
fumecheng-7527	131	6	,	,	PUNCT
fumecheng-7527	131	7	it	it	PRON
fumecheng-7527	131	8	was	be	AUX
fumecheng-7527	131	9	shown	show	VERB
fumecheng-7527	131	10	that	that	SCONJ
fumecheng-7527	131	11	–	–	PUNCT
fumecheng-7527	131	12	within	within	ADP
fumecheng-7527	131	13	the	the	DET
fumecheng-7527	131	14	hertz	hertz	NOUN
fumecheng-7527	131	15	-	-	PUNCT
fumecheng-7527	131	16	mindlin	mindlin	NOUN
fumecheng-7527	131	17	approximation	approximation	NOUN
fumecheng-7527	131	18	–	–	PUNCT
fumecheng-7527	131	19	there	there	PRON
fumecheng-7527	131	20	is	be	VERB
fumecheng-7527	131	21	no	no	DET
fumecheng-7527	131	22	partial	partial	ADJ
fumecheng-7527	131	23	slip	slip	NOUN
fumecheng-7527	131	24	for	for	ADP
fumecheng-7527	131	25	this	this	DET
fumecheng-7527	131	26	loading	loading	NOUN
fumecheng-7527	131	27	history	history	NOUN
fumecheng-7527	131	28	;	;	PUNCT
fumecheng-7527	131	29	the	the	DET
fumecheng-7527	131	30	contact	contact	NOUN
fumecheng-7527	131	31	is	be	AUX
fumecheng-7527	131	32	always	always	ADV
fumecheng-7527	131	33	completely	completely	ADV
fumecheng-7527	131	34	sticking	stick	VERB
fumecheng-7527	131	35	if	if	SCONJ
fumecheng-7527	131	36	µ	µ	X
fumecheng-7527	131	37	>	>	X
fumecheng-7527	131	38	tan	tan	PROPN
fumecheng-7527	131	39	α	α	PROPN
fumecheng-7527	131	40	(	(	PUNCT
fumecheng-7527	131	41	and	and	CCONJ
fumecheng-7527	131	42	obviously	obviously	ADV
fumecheng-7527	131	43	completely	completely	ADV
fumecheng-7527	131	44	sliding	slide	VERB
fumecheng-7527	131	45	otherwise	otherwise	ADV
fumecheng-7527	131	46	)	)	PUNCT
fumecheng-7527	131	47	,	,	PUNCT
fumecheng-7527	131	48	because	because	SCONJ
fumecheng-7527	131	49	the	the	DET
fumecheng-7527	131	50	contact	contact	NOUN
fumecheng-7527	131	51	area	area	NOUN
fumecheng-7527	131	52	grows	grow	VERB
fumecheng-7527	131	53	faster	fast	ADV
fumecheng-7527	131	54	than	than	SCONJ
fumecheng-7527	131	55	slip	slip	NOUN
fumecheng-7527	131	56	can	can	AUX
fumecheng-7527	131	57	propagate	propagate	VERB
fumecheng-7527	131	58	from	from	ADP
fumecheng-7527	131	59	the	the	DET
fumecheng-7527	131	60	contact	contact	NOUN
fumecheng-7527	131	61	edge	edge	NOUN
fumecheng-7527	131	62	.	.	PUNCT
fumecheng-7527	132	1	so	so	ADV
fumecheng-7527	132	2	,	,	PUNCT
fumecheng-7527	132	3	the	the	DET
fumecheng-7527	132	4	self	self	NOUN
fumecheng-7527	132	5	-	-	PUNCT
fumecheng-7527	132	6	consistency	consistency	NOUN
fumecheng-7527	132	7	condition	condition	NOUN
fumecheng-7527	132	8	for	for	ADP
fumecheng-7527	132	9	elastic	elastic	ADJ
fumecheng-7527	132	10	bodies	body	NOUN
fumecheng-7527	132	11	resulting	result	VERB
fumecheng-7527	132	12	from	from	ADP
fumecheng-7527	132	13	hertz	hertz	NOUN
fumecheng-7527	132	14	-	-	PUNCT
fumecheng-7527	132	15	mindlin	mindlin	NOUN
fumecheng-7527	132	16	contact	contact	NOUN
fumecheng-7527	132	17	mechanics	mechanic	NOUN
fumecheng-7527	132	18	is	be	AUX
fumecheng-7527	132	19	in	in	ADP
fumecheng-7527	132	20	this	this	DET
fumecheng-7527	132	21	case	case	NOUN
fumecheng-7527	132	22	the	the	DET
fumecheng-7527	132	23	same	same	ADJ
fumecheng-7527	132	24	as	as	ADP
fumecheng-7527	132	25	the	the	DET
fumecheng-7527	132	26	one	one	NOUN
fumecheng-7527	132	27	for	for	ADP
fumecheng-7527	132	28	rigid	rigid	ADJ
fumecheng-7527	132	29	bodies	body	NOUN
fumecheng-7527	132	30	(	(	PUNCT
fumecheng-7527	132	31	i.e.	i.e.	X
fumecheng-7527	132	32	,	,	PUNCT
fumecheng-7527	132	33	non	non	ADJ
fumecheng-7527	132	34	-	-	ADJ
fumecheng-7527	132	35	rolling	rolling	ADJ
fumecheng-7527	132	36	configurations	configuration	NOUN
fumecheng-7527	132	37	are	be	AUX
fumecheng-7527	132	38	only	only	ADV
fumecheng-7527	132	39	possible	possible	ADJ
fumecheng-7527	132	40	if	if	SCONJ
fumecheng-7527	132	41	tan	tan	PROPN
fumecheng-7527	132	42	α	α	NOUN
fumecheng-7527	132	43	≤	≤	PROPN
fumecheng-7527	132	44	µ	µ	NUM
fumecheng-7527	132	45	)	)	PUNCT
fumecheng-7527	132	46	!	!	PUNCT
fumecheng-7527	133	1	5	5	X
fumecheng-7527	133	2	.	.	X
fumecheng-7527	133	3	self	self	NOUN
fumecheng-7527	133	4	-	-	PUNCT
fumecheng-7527	133	5	consistency	consistency	NOUN
fumecheng-7527	133	6	conditions	condition	NOUN
fumecheng-7527	133	7	for	for	ADP
fumecheng-7527	133	8	gross	gross	ADJ
fumecheng-7527	133	9	sliding	slide	VERB
fumecheng-7527	133	10	in	in	ADP
fumecheng-7527	133	11	the	the	DET
fumecheng-7527	133	12	case	case	NOUN
fumecheng-7527	133	13	of	of	ADP
fumecheng-7527	133	14	static	static	ADJ
fumecheng-7527	133	15	slip	slip	NOUN
fumecheng-7527	133	16	(	(	PUNCT
fumecheng-7527	133	17	i.e.	i.e.	X
fumecheng-7527	133	18	,	,	PUNCT
fumecheng-7527	133	19	macroscopic	macroscopic	ADJ
fumecheng-7527	133	20	“	"	PUNCT
fumecheng-7527	133	21	sticking	sticking	NOUN
fumecheng-7527	133	22	”	"	PUNCT
fumecheng-7527	133	23	)	)	PUNCT
fumecheng-7527	133	24	the	the	DET
fumecheng-7527	133	25	tangential	tangential	ADJ
fumecheng-7527	133	26	forces	force	NOUN
fumecheng-7527	133	27	are	be	AUX
fumecheng-7527	133	28	bound	bind	VERB
fumecheng-7527	133	29	by	by	ADP
fumecheng-7527	133	30	the	the	DET
fumecheng-7527	133	31	friction	friction	NOUN
fumecheng-7527	133	32	law	law	NOUN
fumecheng-7527	133	33	,	,	PUNCT
fumecheng-7527	133	34	which	which	PRON
fumecheng-7527	133	35	imposes	impose	VERB
fumecheng-7527	133	36	a	a	DET
fumecheng-7527	133	37	self	self	NOUN
fumecheng-7527	133	38	-	-	PUNCT
fumecheng-7527	133	39	consistency	consistency	NOUN
fumecheng-7527	133	40	condition	condition	NOUN
fumecheng-7527	133	41	.	.	PUNCT
fumecheng-7527	134	1	for	for	ADP
fumecheng-7527	134	2	stationary	stationary	NOUN
fumecheng-7527	134	3	sliding	slide	VERB
fumecheng-7527	134	4	there	there	PRON
fumecheng-7527	134	5	are	be	VERB
fumecheng-7527	134	6	two	two	NUM
fumecheng-7527	134	7	self	self	NOUN
fumecheng-7527	134	8	-	-	PUNCT
fumecheng-7527	134	9	consistency	consistency	NOUN
fumecheng-7527	134	10	conditions	condition	NOUN
fumecheng-7527	134	11	(	(	PUNCT
fumecheng-7527	134	12	because	because	SCONJ
fumecheng-7527	134	13	the	the	DET
fumecheng-7527	134	14	tangential	tangential	ADJ
fumecheng-7527	134	15	forces	force	NOUN
fumecheng-7527	134	16	are	be	AUX
fumecheng-7527	134	17	given	give	VERB
fumecheng-7527	134	18	explicitly	explicitly	ADV
fumecheng-7527	134	19	by	by	ADP
fumecheng-7527	134	20	the	the	DET
fumecheng-7527	134	21	friction	friction	NOUN
fumecheng-7527	134	22	law	law	NOUN
fumecheng-7527	134	23	)	)	PUNCT
fumecheng-7527	134	24	,	,	PUNCT
fumecheng-7527	134	25	directly	directly	ADV
fumecheng-7527	134	26	resulting	result	VERB
fumecheng-7527	134	27	from	from	ADP
fumecheng-7527	134	28	the	the	DET
fumecheng-7527	134	29	global	global	ADJ
fumecheng-7527	134	30	equilibrium	equilibrium	NOUN
fumecheng-7527	134	31	,	,	PUNCT
fumecheng-7527	134	32	1	1	NUM
fumecheng-7527	134	33	1	1	NUM
fumecheng-7527	134	34	0	0	NUM
fumecheng-7527	134	35	1	1	NUM
fumecheng-7527	134	36	1	1	NUM
fumecheng-7527	134	37	2	2	NUM
fumecheng-7527	134	38	2	2	NUM
fumecheng-7527	134	39	3	3	NUM
fumecheng-7527	134	40	3	3	NUM
fumecheng-7527	134	41	2	2	NUM
fumecheng-7527	134	42	1	1	NUM
fumecheng-7527	134	43	1	1	NUM
fumecheng-7527	134	44	2	2	NUM
fumecheng-7527	134	45	2	2	NUM
fumecheng-7527	134	46	3	3	NUM
fumecheng-7527	134	47	2	2	NUM
fumecheng-7527	134	48	1	1	NUM
fumecheng-7527	134	49	1	1	NUM
fumecheng-7527	134	50	1	1	NUM
fumecheng-7527	134	51	,	,	PUNCT
fumecheng-7527	134	52	(	(	PUNCT
fumecheng-7527	134	53	)	)	PUNCT
fumecheng-7527	135	1	(	(	PUNCT
fumecheng-7527	135	2	)	)	PUNCT
fumecheng-7527	135	3	1	1	X
fumecheng-7527	135	4	.	.	PUNCT
fumecheng-7527	136	1	n	n	CCONJ
fumecheng-7527	136	2	h	h	NOUN
fumecheng-7527	137	1	n	n	NOUN
fumecheng-7527	137	2	x	x	SYM
fumecheng-7527	137	3	n	n	PROPN
fumecheng-7527	137	4	x	x	SYM
fumecheng-7527	137	5	n	n	PROPN
fumecheng-7527	137	6	x	x	SYM
fumecheng-7527	137	7	n	n	CCONJ
fumecheng-7527	137	8	n	n	CCONJ
fumecheng-7527	137	9	n	n	CCONJ
fumecheng-7527	137	10	n	n	ADV
fumecheng-7527	137	11	mg	mg	ADJ
fumecheng-7527	137	12	mg	mg	PROPN
fumecheng-7527	137	13	n	n	PRON
fumecheng-7527	137	14			NOUN
fumecheng-7527	137	15			NOUN
fumecheng-7527	137	16			NOUN
fumecheng-7527	137	17			NOUN
fumecheng-7527	137	18			NOUN
fumecheng-7527	137	19			NOUN
fumecheng-7527	137	20	=	=	PUNCT
fumecheng-7527	138	1	−	−	ADP
fumecheng-7527	138	2	−	−	PROPN
fumecheng-7527	139	1			NOUN
fumecheng-7527	139	2			NOUN
fumecheng-7527	139	3	=	=	PUNCT
fumecheng-7527	140	1	+	+	PUNCT
fumecheng-7527	140	2	=	=	SYM
fumecheng-7527	141	1	+	+	NUM
fumecheng-7527	141	2			X
fumecheng-7527	141	3	=	=	PUNCT
fumecheng-7527	141	4	−	−	PROPN
fumecheng-7527	141	5			PROPN
fumecheng-7527	142	1			PROPN
fumecheng-7527	142	2			NOUN
fumecheng-7527	142	3	(	(	PUNCT
fumecheng-7527	142	4	20	20	NUM
fumecheng-7527	142	5	)	)	PUNCT
fumecheng-7527	142	6	self	self	NOUN
fumecheng-7527	142	7	-	-	PUNCT
fumecheng-7527	142	8	consistency	consistency	NOUN
fumecheng-7527	142	9	conditions	condition	NOUN
fumecheng-7527	142	10	in	in	ADP
fumecheng-7527	142	11	static	static	ADJ
fumecheng-7527	142	12	three	three	NUM
fumecheng-7527	142	13	-	-	PUNCT
fumecheng-7527	142	14	body	body	NOUN
fumecheng-7527	142	15	elastic	elastic	ADJ
fumecheng-7527	142	16	tangential	tangential	ADJ
fumecheng-7527	142	17	contact	contact	NOUN
fumecheng-7527	142	18	455	455	NUM
fumecheng-7527	143	1	so	so	ADV
fumecheng-7527	143	2	,	,	PUNCT
fumecheng-7527	143	3	if	if	SCONJ
fumecheng-7527	143	4	the	the	DET
fumecheng-7527	143	5	upper	upper	ADJ
fumecheng-7527	143	6	and	and	CCONJ
fumecheng-7527	143	7	lower	low	ADJ
fumecheng-7527	143	8	contacts	contact	NOUN
fumecheng-7527	143	9	have	have	VERB
fumecheng-7527	143	10	the	the	DET
fumecheng-7527	143	11	same	same	ADJ
fumecheng-7527	143	12	frictional	frictional	ADJ
fumecheng-7527	143	13	properties	property	NOUN
fumecheng-7527	143	14	,	,	PUNCT
fumecheng-7527	143	15	the	the	DET
fumecheng-7527	143	16	weight	weight	NOUN
fumecheng-7527	143	17	of	of	ADP
fumecheng-7527	143	18	the	the	DET
fumecheng-7527	143	19	particle	particle	NOUN
fumecheng-7527	143	20	will	will	AUX
fumecheng-7527	143	21	disturb	disturb	VERB
fumecheng-7527	143	22	the	the	DET
fumecheng-7527	143	23	equilibrium	equilibrium	NOUN
fumecheng-7527	143	24	and	and	CCONJ
fumecheng-7527	143	25	thus	thus	ADV
fumecheng-7527	143	26	inhibit	inhibit	VERB
fumecheng-7527	143	27	stationary	stationary	ADJ
fumecheng-7527	143	28	sliding	sliding	NOUN
fumecheng-7527	143	29	.	.	PUNCT
fumecheng-7527	144	1	that	that	PRON
fumecheng-7527	144	2	is	be	AUX
fumecheng-7527	144	3	not	not	PART
fumecheng-7527	144	4	restrained	restrain	VERB
fumecheng-7527	144	5	to	to	ADP
fumecheng-7527	144	6	the	the	DET
fumecheng-7527	144	7	particle	particle	NOUN
fumecheng-7527	144	8	weight	weight	NOUN
fumecheng-7527	144	9	or	or	CCONJ
fumecheng-7527	144	10	the	the	DET
fumecheng-7527	144	11	number	number	NOUN
fumecheng-7527	144	12	of	of	ADP
fumecheng-7527	144	13	contact	contact	NOUN
fumecheng-7527	144	14	spots	spot	NOUN
fumecheng-7527	144	15	on	on	ADP
fumecheng-7527	144	16	each	each	DET
fumecheng-7527	144	17	side	side	NOUN
fumecheng-7527	144	18	:	:	PUNCT
fumecheng-7527	144	19	in	in	ADP
fumecheng-7527	144	20	fact	fact	NOUN
fumecheng-7527	144	21	,	,	PUNCT
fumecheng-7527	144	22	if	if	SCONJ
fumecheng-7527	144	23	the	the	DET
fumecheng-7527	144	24	coefficients	coefficient	NOUN
fumecheng-7527	144	25	of	of	ADP
fumecheng-7527	144	26	friction	friction	NOUN
fumecheng-7527	144	27	on	on	ADP
fumecheng-7527	144	28	both	both	DET
fumecheng-7527	144	29	sides	side	NOUN
fumecheng-7527	144	30	are	be	AUX
fumecheng-7527	144	31	the	the	DET
fumecheng-7527	144	32	same	same	ADJ
fumecheng-7527	144	33	and	and	CCONJ
fumecheng-7527	144	34	all	all	DET
fumecheng-7527	144	35	contacts	contact	NOUN
fumecheng-7527	144	36	are	be	AUX
fumecheng-7527	144	37	sliding	slide	VERB
fumecheng-7527	144	38	,	,	PUNCT
fumecheng-7527	144	39	obviously	obviously	ADV
fumecheng-7527	144	40	any	any	DET
fumecheng-7527	144	41	force	force	NOUN
fumecheng-7527	144	42	,	,	PUNCT
fumecheng-7527	144	43	which	which	PRON
fumecheng-7527	144	44	is	be	AUX
fumecheng-7527	144	45	not	not	PART
fumecheng-7527	144	46	aligned	align	VERB
fumecheng-7527	144	47	with	with	ADP
fumecheng-7527	144	48	the	the	DET
fumecheng-7527	144	49	friction	friction	NOUN
fumecheng-7527	144	50	angle	angle	NOUN
fumecheng-7527	144	51	,	,	PUNCT
fumecheng-7527	144	52	will	will	AUX
fumecheng-7527	144	53	violate	violate	VERB
fumecheng-7527	144	54	the	the	DET
fumecheng-7527	144	55	equilibrium	equilibrium	NOUN
fumecheng-7527	144	56	condition	condition	NOUN
fumecheng-7527	144	57	.	.	PUNCT
fumecheng-7527	145	1	finally	finally	ADV
fumecheng-7527	145	2	,	,	PUNCT
fumecheng-7527	145	3	if	if	SCONJ
fumecheng-7527	145	4	once	once	ADV
fumecheng-7527	145	5	again	again	ADV
fumecheng-7527	145	6	rotation	rotation	NOUN
fumecheng-7527	145	7	of	of	ADP
fumecheng-7527	145	8	the	the	DET
fumecheng-7527	145	9	particle	particle	NOUN
fumecheng-7527	145	10	is	be	AUX
fumecheng-7527	145	11	absent	absent	ADJ
fumecheng-7527	145	12	,	,	PUNCT
fumecheng-7527	145	13	using	use	VERB
fumecheng-7527	145	14	the	the	DET
fumecheng-7527	145	15	normal	normal	ADJ
fumecheng-7527	145	16	contact	contact	NOUN
fumecheng-7527	145	17	solution	solution	NOUN
fumecheng-7527	145	18	from	from	ADP
fumecheng-7527	145	19	eqs	eqs	PROPN
fumecheng-7527	145	20	.	.	PUNCT
fumecheng-7527	146	1	(	(	PUNCT
fumecheng-7527	146	2	7	7	NUM
fumecheng-7527	146	3	)	)	PUNCT
fumecheng-7527	146	4	and	and	CCONJ
fumecheng-7527	146	5	(	(	PUNCT
fumecheng-7527	146	6	8)	8)	NUM
fumecheng-7527	146	7	,	,	PUNCT
fumecheng-7527	146	8	the	the	DET
fumecheng-7527	146	9	first	first	ADJ
fumecheng-7527	146	10	of	of	ADP
fumecheng-7527	146	11	eqs	eqs	PROPN
fumecheng-7527	146	12	.	.	PUNCT
fumecheng-7527	147	1	(	(	PUNCT
fumecheng-7527	147	2	20	20	NUM
fumecheng-7527	147	3	)	)	PUNCT
fumecheng-7527	147	4	can	can	AUX
fumecheng-7527	147	5	be	be	AUX
fumecheng-7527	147	6	written	write	VERB
fumecheng-7527	147	7	in	in	ADP
fumecheng-7527	147	8	the	the	DET
fumecheng-7527	147	9	form	form	NOUN
fumecheng-7527	147	10	1/2	1/2	NUM
fumecheng-7527	147	11	1/23/2	1/23/2	NUM
fumecheng-7527	147	12	*	*	SYM
fumecheng-7527	147	13	32	32	NUM
fumecheng-7527	147	14	2	2	NUM
fumecheng-7527	147	15	1	1	NUM
fumecheng-7527	147	16	0	0	NUM
fumecheng-7527	147	17	1	1	NUM
fumecheng-7527	147	18	2	2	NUM
fumecheng-7527	147	19	3	3	NUM
fumecheng-7527	147	20	*	*	SYM
fumecheng-7527	147	21	1	1	NUM
fumecheng-7527	147	22	11	11	NUM
fumecheng-7527	147	23	1	1	NUM
fumecheng-7527	147	24	(	(	PUNCT
fumecheng-7527	147	25	)	)	PUNCT
fumecheng-7527	147	26	.	.	PUNCT
fumecheng-7527	148	1	(	(	PUNCT
fumecheng-7527	148	2	)	)	PUNCT
fumecheng-7527	148	3	re	re	PROPN
fumecheng-7527	148	4	rm	rm	PROPN
fumecheng-7527	148	5	h	h	NOUN
fumecheng-7527	148	6	x	x	X
fumecheng-7527	149	1	x	x	PUNCT
fumecheng-7527	149	2	x	x	X
fumecheng-7527	149	3	m	m	VERB
fumecheng-7527	149	4	r	r	NOUN
fumecheng-7527	149	5	re	re	NOUN
fumecheng-7527	149	6			NUM
fumecheng-7527	149	7			NOUN
fumecheng-7527	149	8			NUM
fumecheng-7527	149	9			PROPN
fumecheng-7527	149	10			PROPN
fumecheng-7527	149	11			PROPN
fumecheng-7527	149	12			NOUN
fumecheng-7527	149	13			PROPN
fumecheng-7527	149	14	−	−	PROPN
fumecheng-7527	149	15			VERB
fumecheng-7527	149	16	=	=	X
fumecheng-7527	149	17	−	−	NOUN
fumecheng-7527	149	18	+	+	NOUN
fumecheng-7527	150	1			PROPN
fumecheng-7527	150	2			PROPN
fumecheng-7527	150	3			PROPN
fumecheng-7527	150	4			NOUN
fumecheng-7527	151	1			PROPN
fumecheng-7527	151	2			NOUN
fumecheng-7527	151	3			NOUN
fumecheng-7527	151	4			NOUN
fumecheng-7527	151	5			PROPN
fumecheng-7527	151	6			NOUN
fumecheng-7527	151	7			PROPN
fumecheng-7527	151	8			PROPN
fumecheng-7527	151	9			PROPN
fumecheng-7527	151	10	(	(	PUNCT
fumecheng-7527	151	11	21	21	NUM
fumecheng-7527	151	12	)	)	PUNCT
fumecheng-7527	151	13	if	if	SCONJ
fumecheng-7527	151	14	the	the	DET
fumecheng-7527	151	15	particle	particle	NOUN
fumecheng-7527	151	16	weight	weight	NOUN
fumecheng-7527	151	17	is	be	AUX
fumecheng-7527	151	18	negligible	negligible	ADJ
fumecheng-7527	151	19	compared	compare	VERB
fumecheng-7527	151	20	to	to	ADP
fumecheng-7527	151	21	the	the	DET
fumecheng-7527	151	22	contact	contact	NOUN
fumecheng-7527	151	23	forces	force	NOUN
fumecheng-7527	151	24	,	,	PUNCT
fumecheng-7527	151	25	this	this	DET
fumecheng-7527	151	26	simplifies	simplifie	NOUN
fumecheng-7527	151	27	to	to	ADP
fumecheng-7527	151	28	1/2	1/2	NUM
fumecheng-7527	151	29	1/2	1/2	NUM
fumecheng-7527	151	30	2	2	NUM
fumecheng-7527	151	31	2	2	NUM
fumecheng-7527	151	32	3	3	NUM
fumecheng-7527	151	33	3	3	NUM
fumecheng-7527	151	34	1	1	NUM
fumecheng-7527	151	35	0	0	NUM
fumecheng-7527	151	36	1	1	NUM
fumecheng-7527	151	37	1/2	1/2	NUM
fumecheng-7527	151	38	1/2	1/2	NUM
fumecheng-7527	151	39	2	2	NUM
fumecheng-7527	151	40	3	3	NUM
fumecheng-7527	151	41	,	,	PUNCT
fumecheng-7527	151	42	r	r	NOUN
fumecheng-7527	151	43	x	x	SYM
fumecheng-7527	151	44	r	r	NOUN
fumecheng-7527	151	45	x	x	NOUN
fumecheng-7527	151	46	h	h	NOUN
fumecheng-7527	151	47	x	x	PUNCT
fumecheng-7527	151	48	r	r	NOUN
fumecheng-7527	151	49	r	r	NOUN
fumecheng-7527	151	50			NOUN
fumecheng-7527	151	51	+	+	NOUN
fumecheng-7527	151	52	=	=	SYM
fumecheng-7527	152	1	−	−	PROPN
fumecheng-7527	152	2	+	+	CCONJ
fumecheng-7527	152	3	(	(	PUNCT
fumecheng-7527	152	4	22	22	NUM
fumecheng-7527	152	5	)	)	PUNCT
fumecheng-7527	152	6	which	which	PRON
fumecheng-7527	152	7	,	,	PUNCT
fumecheng-7527	152	8	interestingly	interestingly	ADV
fumecheng-7527	152	9	,	,	PUNCT
fumecheng-7527	152	10	does	do	AUX
fumecheng-7527	152	11	not	not	PART
fumecheng-7527	152	12	depend	depend	VERB
fumecheng-7527	152	13	on	on	ADP
fumecheng-7527	152	14	the	the	DET
fumecheng-7527	152	15	elastic	elastic	ADJ
fumecheng-7527	152	16	properties	property	NOUN
fumecheng-7527	152	17	of	of	ADP
fumecheng-7527	152	18	the	the	DET
fumecheng-7527	152	19	system	system	NOUN
fumecheng-7527	152	20	.	.	PUNCT
fumecheng-7527	153	1	one	one	NUM
fumecheng-7527	153	2	possibility	possibility	NOUN
fumecheng-7527	153	3	for	for	ADP
fumecheng-7527	153	4	the	the	DET
fumecheng-7527	153	5	absence	absence	NOUN
fumecheng-7527	153	6	of	of	ADP
fumecheng-7527	153	7	rotation	rotation	NOUN
fumecheng-7527	153	8	would	would	AUX
fumecheng-7527	153	9	be	be	AUX
fumecheng-7527	153	10	complete	complete	ADJ
fumecheng-7527	153	11	symmetry	symmetry	NOUN
fumecheng-7527	153	12	,	,	PUNCT
fumecheng-7527	153	13	i.e.	i.e.	X
fumecheng-7527	153	14	,	,	PUNCT
fumecheng-7527	153	15	x1	x1	PROPN
fumecheng-7527	153	16	=	=	SYM
fumecheng-7527	153	17	0	0	NUM
fumecheng-7527	153	18	,	,	PUNCT
fumecheng-7527	153	19	r2	r2	PROPN
fumecheng-7527	153	20	=	=	SYM
fumecheng-7527	153	21	r3	r3	PROPN
fumecheng-7527	153	22	and	and	CCONJ
fumecheng-7527	153	23	x2	x2	NOUN
fumecheng-7527	153	24	=	=	PUNCT
fumecheng-7527	153	25	–	–	PUNCT
fumecheng-7527	153	26	x3	x3	ADJ
fumecheng-7527	153	27	.	.	PUNCT
fumecheng-7527	154	1	this	this	DET
fumecheng-7527	154	2	results	result	VERB
fumecheng-7527	154	3	in	in	ADP
fumecheng-7527	154	4	the	the	DET
fumecheng-7527	154	5	self	self	NOUN
fumecheng-7527	154	6	-	-	PUNCT
fumecheng-7527	154	7	consistency	consistency	NOUN
fumecheng-7527	154	8	condition	condition	NOUN
fumecheng-7527	154	9	µh0	µh0	VERB
fumecheng-7527	154	10	=	=	SYM
fumecheng-7527	154	11	0	0	NUM
fumecheng-7527	154	12	,	,	PUNCT
fumecheng-7527	154	13	so	so	ADV
fumecheng-7527	154	14	stationary	stationary	ADJ
fumecheng-7527	154	15	sliding	slide	VERB
fumecheng-7527	154	16	in	in	ADP
fumecheng-7527	154	17	this	this	DET
fumecheng-7527	154	18	case	case	NOUN
fumecheng-7527	154	19	is	be	AUX
fumecheng-7527	154	20	impossible	impossible	ADJ
fumecheng-7527	154	21	!	!	PUNCT
fumecheng-7527	155	1	6	6	NUM
fumecheng-7527	155	2	.	.	NOUN
fumecheng-7527	155	3	example	example	NOUN
fumecheng-7527	155	4	case	case	NOUN
fumecheng-7527	155	5	with	with	ADP
fumecheng-7527	155	6	equal	equal	ADJ
fumecheng-7527	155	7	coefficients	coefficient	NOUN
fumecheng-7527	155	8	of	of	ADP
fumecheng-7527	155	9	friction	friction	NOUN
fumecheng-7527	155	10	to	to	PART
fumecheng-7527	155	11	illustrate	illustrate	VERB
fumecheng-7527	155	12	the	the	DET
fumecheng-7527	155	13	above	above	ADJ
fumecheng-7527	155	14	findings	finding	NOUN
fumecheng-7527	155	15	let	let	VERB
fumecheng-7527	155	16	us	we	PRON
fumecheng-7527	155	17	consider	consider	VERB
fumecheng-7527	155	18	a	a	DET
fumecheng-7527	155	19	wear	wear	NOUN
fumecheng-7527	155	20	debris	debris	NOUN
fumecheng-7527	155	21	particle	particle	NOUN
fumecheng-7527	155	22	of	of	ADP
fumecheng-7527	155	23	some	some	DET
fumecheng-7527	155	24	general	general	ADJ
fumecheng-7527	155	25	shape	shape	NOUN
fumecheng-7527	155	26	,	,	PUNCT
fumecheng-7527	155	27	which	which	PRON
fumecheng-7527	155	28	in	in	ADP
fumecheng-7527	155	29	the	the	DET
fumecheng-7527	155	30	contact	contact	NOUN
fumecheng-7527	155	31	plane	plane	NOUN
fumecheng-7527	155	32	forms	form	VERB
fumecheng-7527	155	33	three	three	NUM
fumecheng-7527	155	34	contact	contact	NOUN
fumecheng-7527	155	35	spots	spot	NOUN
fumecheng-7527	155	36	with	with	ADP
fumecheng-7527	155	37	the	the	DET
fumecheng-7527	155	38	first	first	ADJ
fumecheng-7527	155	39	bodies	body	NOUN
fumecheng-7527	155	40	.	.	PUNCT
fumecheng-7527	156	1	we	we	PRON
fumecheng-7527	156	2	want	want	VERB
fumecheng-7527	156	3	to	to	PART
fumecheng-7527	156	4	know	know	VERB
fumecheng-7527	156	5	whether	whether	SCONJ
fumecheng-7527	156	6	stationary	stationary	ADJ
fumecheng-7527	156	7	sliding	sliding	NOUN
fumecheng-7527	156	8	is	be	AUX
fumecheng-7527	156	9	a	a	DET
fumecheng-7527	156	10	possible	possible	ADJ
fumecheng-7527	156	11	state	state	NOUN
fumecheng-7527	156	12	for	for	ADP
fumecheng-7527	156	13	the	the	DET
fumecheng-7527	156	14	third	third	ADJ
fumecheng-7527	156	15	body	body	NOUN
fumecheng-7527	156	16	if	if	SCONJ
fumecheng-7527	156	17	the	the	DET
fumecheng-7527	156	18	coefficients	coefficient	NOUN
fumecheng-7527	156	19	of	of	ADP
fumecheng-7527	156	20	friction	friction	NOUN
fumecheng-7527	156	21	on	on	ADP
fumecheng-7527	156	22	the	the	DET
fumecheng-7527	156	23	upper	upper	ADJ
fumecheng-7527	156	24	and	and	CCONJ
fumecheng-7527	156	25	lower	low	ADJ
fumecheng-7527	156	26	surfaces	surface	NOUN
fumecheng-7527	156	27	are	be	AUX
fumecheng-7527	156	28	equal	equal	ADJ
fumecheng-7527	156	29	and	and	CCONJ
fumecheng-7527	156	30	if	if	SCONJ
fumecheng-7527	156	31	we	we	PRON
fumecheng-7527	156	32	can	can	AUX
fumecheng-7527	156	33	neglect	neglect	VERB
fumecheng-7527	156	34	the	the	DET
fumecheng-7527	156	35	particle	particle	NOUN
fumecheng-7527	156	36	weight	weight	NOUN
fumecheng-7527	156	37	.	.	PUNCT
fumecheng-7527	157	1	the	the	DET
fumecheng-7527	157	2	contact	contact	NOUN
fumecheng-7527	157	3	enumeration	enumeration	NOUN
fumecheng-7527	157	4	shall	shall	AUX
fumecheng-7527	157	5	be	be	AUX
fumecheng-7527	157	6	as	as	ADP
fumecheng-7527	157	7	in	in	ADP
fumecheng-7527	157	8	fig	fig	NOUN
fumecheng-7527	157	9	.	.	PUNCT
fumecheng-7527	158	1	1	1	NUM
fumecheng-7527	158	2	,	,	PUNCT
fumecheng-7527	158	3	i.e.	i.e.	X
fumecheng-7527	158	4	,	,	PUNCT
fumecheng-7527	158	5	spot	spot	NOUN
fumecheng-7527	158	6	number	number	NOUN
fumecheng-7527	158	7	“	"	PUNCT
fumecheng-7527	158	8	one	one	NUM
fumecheng-7527	158	9	”	"	PUNCT
fumecheng-7527	158	10	is	be	AUX
fumecheng-7527	158	11	the	the	DET
fumecheng-7527	158	12	singular	singular	ADJ
fumecheng-7527	158	13	one	one	NOUN
fumecheng-7527	158	14	,	,	PUNCT
fumecheng-7527	158	15	“	"	PUNCT
fumecheng-7527	158	16	three	three	NUM
fumecheng-7527	158	17	”	"	PUNCT
fumecheng-7527	158	18	is	be	AUX
fumecheng-7527	158	19	the	the	DET
fumecheng-7527	158	20	one	one	NUM
fumecheng-7527	158	21	on	on	ADP
fumecheng-7527	158	22	the	the	DET
fumecheng-7527	158	23	other	other	ADJ
fumecheng-7527	158	24	surface	surface	NOUN
fumecheng-7527	158	25	but	but	CCONJ
fumecheng-7527	158	26	on	on	ADP
fumecheng-7527	158	27	the	the	DET
fumecheng-7527	158	28	same	same	ADJ
fumecheng-7527	158	29	side	side	NOUN
fumecheng-7527	158	30	(	(	PUNCT
fumecheng-7527	158	31	left	leave	VERB
fumecheng-7527	158	32	/	/	SYM
fumecheng-7527	158	33	right	right	ADJ
fumecheng-7527	158	34	with	with	ADP
fumecheng-7527	158	35	respect	respect	NOUN
fumecheng-7527	158	36	to	to	ADP
fumecheng-7527	158	37	the	the	DET
fumecheng-7527	158	38	center	center	NOUN
fumecheng-7527	158	39	of	of	ADP
fumecheng-7527	158	40	gravity	gravity	NOUN
fumecheng-7527	158	41	)	)	PUNCT
fumecheng-7527	158	42	and	and	CCONJ
fumecheng-7527	158	43	“	"	PUNCT
fumecheng-7527	158	44	two	two	NUM
fumecheng-7527	158	45	”	"	PUNCT
fumecheng-7527	158	46	the	the	DET
fumecheng-7527	158	47	one	one	NOUN
fumecheng-7527	158	48	on	on	ADP
fumecheng-7527	158	49	the	the	DET
fumecheng-7527	158	50	other	other	ADJ
fumecheng-7527	158	51	surface	surface	NOUN
fumecheng-7527	158	52	and	and	CCONJ
fumecheng-7527	158	53	on	on	ADP
fumecheng-7527	158	54	the	the	DET
fumecheng-7527	158	55	other	other	ADJ
fumecheng-7527	158	56	side	side	NOUN
fumecheng-7527	158	57	.	.	PUNCT
fumecheng-7527	159	1	all	all	DET
fumecheng-7527	159	2	geometrical	geometrical	ADJ
fumecheng-7527	159	3	notations	notation	NOUN
fumecheng-7527	159	4	are	be	AUX
fumecheng-7527	159	5	the	the	DET
fumecheng-7527	159	6	same	same	ADJ
fumecheng-7527	159	7	as	as	ADP
fumecheng-7527	159	8	in	in	ADP
fumecheng-7527	159	9	fig	fig	NOUN
fumecheng-7527	159	10	.	.	PUNCT
fumecheng-7527	160	1	1	1	X
fumecheng-7527	160	2	.	.	X
fumecheng-7527	161	1	as	as	SCONJ
fumecheng-7527	161	2	we	we	PRON
fumecheng-7527	161	3	neglect	neglect	VERB
fumecheng-7527	161	4	the	the	DET
fumecheng-7527	161	5	particle	particle	NOUN
fumecheng-7527	161	6	weight	weight	NOUN
fumecheng-7527	161	7	and	and	CCONJ
fumecheng-7527	161	8	the	the	DET
fumecheng-7527	161	9	friction	friction	NOUN
fumecheng-7527	161	10	coefficients	coefficient	NOUN
fumecheng-7527	161	11	are	be	AUX
fumecheng-7527	161	12	equal	equal	ADJ
fumecheng-7527	161	13	on	on	ADP
fumecheng-7527	161	14	both	both	DET
fumecheng-7527	161	15	surfaces	surface	NOUN
fumecheng-7527	161	16	,	,	PUNCT
fumecheng-7527	161	17	the	the	DET
fumecheng-7527	161	18	second	second	NOUN
fumecheng-7527	161	19	of	of	ADP
fumecheng-7527	161	20	eqs	eqs	PROPN
fumecheng-7527	161	21	.	.	PUNCT
fumecheng-7527	162	1	(	(	PUNCT
fumecheng-7527	162	2	20	20	NUM
fumecheng-7527	162	3	)	)	PUNCT
fumecheng-7527	162	4	is	be	AUX
fumecheng-7527	162	5	always	always	ADV
fumecheng-7527	162	6	fulfilled	fulfil	VERB
fumecheng-7527	162	7	and	and	CCONJ
fumecheng-7527	162	8	the	the	DET
fumecheng-7527	162	9	only	only	ADJ
fumecheng-7527	162	10	remaining	remain	VERB
fumecheng-7527	162	11	condition	condition	NOUN
fumecheng-7527	162	12	of	of	ADP
fumecheng-7527	162	13	self	self	NOUN
fumecheng-7527	162	14	-	-	PUNCT
fumecheng-7527	162	15	consistent	consistent	ADJ
fumecheng-7527	162	16	stationary	stationary	NOUN
fumecheng-7527	162	17	sliding	slide	VERB
fumecheng-7527	162	18	is	be	AUX
fumecheng-7527	162	19	the	the	DET
fumecheng-7527	162	20	first	first	ADJ
fumecheng-7527	162	21	of	of	ADP
fumecheng-7527	162	22	eqs	eqs	PROPN
fumecheng-7527	162	23	.	.	PUNCT
fumecheng-7527	163	1	(	(	PUNCT
fumecheng-7527	163	2	20	20	NUM
fumecheng-7527	163	3	)	)	PUNCT
fumecheng-7527	163	4	.	.	PUNCT
fumecheng-7527	164	1	fig	fig	NOUN
fumecheng-7527	164	2	.	.	PUNCT
fumecheng-7527	165	1	2	2	NUM
fumecheng-7527	165	2	shows	show	VERB
fumecheng-7527	165	3	the	the	DET
fumecheng-7527	165	4	contour	contour	NOUN
fumecheng-7527	165	5	line	line	NOUN
fumecheng-7527	165	6	diagram	diagram	NOUN
fumecheng-7527	165	7	of	of	ADP
fumecheng-7527	165	8	the	the	DET
fumecheng-7527	165	9	normalized	normalize	VERB
fumecheng-7527	165	10	position	position	NOUN
fumecheng-7527	165	11	of	of	ADP
fumecheng-7527	165	12	the	the	DET
fumecheng-7527	165	13	third	third	ADJ
fumecheng-7527	165	14	contact	contact	NOUN
fumecheng-7527	165	15	spot	spot	NOUN
fumecheng-7527	165	16	,	,	PUNCT
fumecheng-7527	165	17	ξ3	ξ3	NOUN
fumecheng-7527	165	18	=	=	SYM
fumecheng-7527	165	19	x3	x3	PROPN
fumecheng-7527	165	20	/	/	SYM
fumecheng-7527	165	21	x1	x1	PROPN
fumecheng-7527	165	22	,	,	PUNCT
fumecheng-7527	165	23	as	as	ADP
fumecheng-7527	165	24	a	a	DET
fumecheng-7527	165	25	function	function	NOUN
fumecheng-7527	165	26	of	of	ADP
fumecheng-7527	165	27	the	the	DET
fumecheng-7527	165	28	normalized	normalize	VERB
fumecheng-7527	165	29	force	force	NOUN
fumecheng-7527	165	30	distribution	distribution	NOUN
fumecheng-7527	165	31	,	,	PUNCT
fumecheng-7527	165	32	n2	n2	NOUN
fumecheng-7527	165	33	=	=	SYM
fumecheng-7527	165	34	n2	n2	ADJ
fumecheng-7527	165	35	/	/	SYM
fumecheng-7527	165	36	n1	n1	PROPN
fumecheng-7527	165	37	and	and	CCONJ
fumecheng-7527	165	38	the	the	DET
fumecheng-7527	165	39	normalized	normalized	ADJ
fumecheng-7527	165	40	position	position	NOUN
fumecheng-7527	165	41	of	of	ADP
fumecheng-7527	165	42	the	the	DET
fumecheng-7527	165	43	second	second	ADJ
fumecheng-7527	165	44	contact	contact	NOUN
fumecheng-7527	165	45	spot	spot	NOUN
fumecheng-7527	165	46	,	,	PUNCT
fumecheng-7527	165	47	ξ2	ξ2	NOUN
fumecheng-7527	165	48	=	=	SYM
fumecheng-7527	165	49	-x2	-x2	PROPN
fumecheng-7527	165	50	/	/	SYM
fumecheng-7527	165	51	x1	x1	PROPN
fumecheng-7527	165	52	,	,	PUNCT
fumecheng-7527	165	53	necessary	necessary	ADJ
fumecheng-7527	165	54	to	to	PART
fumecheng-7527	165	55	enable	enable	VERB
fumecheng-7527	165	56	stationary	stationary	ADJ
fumecheng-7527	165	57	sliding	slide	VERB
fumecheng-7527	165	58	of	of	ADP
fumecheng-7527	165	59	the	the	DET
fumecheng-7527	165	60	third	third	ADJ
fumecheng-7527	165	61	-	-	PUNCT
fumecheng-7527	165	62	body	body	NOUN
fumecheng-7527	165	63	particle	particle	NOUN
fumecheng-7527	165	64	.	.	PUNCT
fumecheng-7527	166	1	the	the	DET
fumecheng-7527	166	2	normalized	normalize	VERB
fumecheng-7527	166	3	gap	gap	NOUN
fumecheng-7527	166	4	width	width	NOUN
fumecheng-7527	166	5	between	between	ADP
fumecheng-7527	166	6	the	the	DET
fumecheng-7527	166	7	first	first	ADJ
fumecheng-7527	166	8	body	body	NOUN
fumecheng-7527	166	9	surfaces	surface	NOUN
fumecheng-7527	166	10	was	be	AUX
fumecheng-7527	166	11	chosen	choose	VERB
fumecheng-7527	166	12	to	to	PART
fumecheng-7527	166	13	be	be	AUX
fumecheng-7527	166	14	h	h	NOUN
fumecheng-7527	166	15	=	=	PUNCT
fumecheng-7527	166	16	µh0	µh0	PROPN
fumecheng-7527	166	17	/	/	SYM
fumecheng-7527	166	18	x1	x1	PROPN
fumecheng-7527	167	1	=	=	VERB
fumecheng-7527	167	2	1	1	X
fumecheng-7527	167	3	.	.	X
fumecheng-7527	167	4	note	note	VERB
fumecheng-7527	167	5	that	that	SCONJ
fumecheng-7527	167	6	the	the	DET
fumecheng-7527	167	7	results	result	NOUN
fumecheng-7527	167	8	for	for	ADP
fumecheng-7527	167	9	different	different	ADJ
fumecheng-7527	167	10	values	value	NOUN
fumecheng-7527	167	11	of	of	ADP
fumecheng-7527	167	12	h	h	NOUN
fumecheng-7527	167	13	can	can	AUX
fumecheng-7527	167	14	be	be	AUX
fumecheng-7527	167	15	simply	simply	ADV
fumecheng-7527	167	16	obtained	obtain	VERB
fumecheng-7527	167	17	by	by	ADP
fumecheng-7527	167	18	shifting	shift	VERB
fumecheng-7527	167	19	the	the	DET
fumecheng-7527	167	20	coordinate	coordinate	NOUN
fumecheng-7527	167	21	ξ2	ξ2	NOUN
fumecheng-7527	167	22	by	by	ADP
fumecheng-7527	167	23	δξ2	δξ2	NOUN
fumecheng-7527	167	24	=	=	PUNCT
fumecheng-7527	167	25	δh	δh	NOUN
fumecheng-7527	167	26	/	/	SYM
fumecheng-7527	167	27	n2	n2	ADJ
fumecheng-7527	167	28	.	.	PUNCT
fumecheng-7527	168	1	456	456	NUM
fumecheng-7527	168	2	e.	e.	PROPN
fumecheng-7527	168	3	willert	willert	PROPN
fumecheng-7527	168	4	fig	fig	PROPN
fumecheng-7527	168	5	.	.	PUNCT
fumecheng-7527	169	1	2	2	NUM
fumecheng-7527	169	2	contour	contour	NOUN
fumecheng-7527	169	3	line	line	NOUN
fumecheng-7527	169	4	diagram	diagram	NOUN
fumecheng-7527	169	5	of	of	ADP
fumecheng-7527	169	6	the	the	DET
fumecheng-7527	169	7	normalized	normalize	VERB
fumecheng-7527	169	8	position	position	NOUN
fumecheng-7527	169	9	of	of	ADP
fumecheng-7527	169	10	the	the	DET
fumecheng-7527	169	11	third	third	ADJ
fumecheng-7527	169	12	contact	contact	NOUN
fumecheng-7527	169	13	spot	spot	NOUN
fumecheng-7527	169	14	,	,	PUNCT
fumecheng-7527	169	15	ξ3	ξ3	NOUN
fumecheng-7527	169	16	=	=	SYM
fumecheng-7527	169	17	x3	x3	PROPN
fumecheng-7527	169	18	/	/	SYM
fumecheng-7527	169	19	x1	x1	PROPN
fumecheng-7527	169	20	,	,	PUNCT
fumecheng-7527	169	21	as	as	ADP
fumecheng-7527	169	22	a	a	DET
fumecheng-7527	169	23	function	function	NOUN
fumecheng-7527	169	24	of	of	ADP
fumecheng-7527	169	25	the	the	DET
fumecheng-7527	169	26	normalized	normalize	VERB
fumecheng-7527	169	27	force	force	NOUN
fumecheng-7527	169	28	distribution	distribution	NOUN
fumecheng-7527	169	29	,	,	PUNCT
fumecheng-7527	169	30	n2	n2	NOUN
fumecheng-7527	169	31	=	=	SYM
fumecheng-7527	169	32	n2	n2	ADJ
fumecheng-7527	169	33	/	/	SYM
fumecheng-7527	169	34	n1	n1	PROPN
fumecheng-7527	169	35	and	and	CCONJ
fumecheng-7527	169	36	the	the	DET
fumecheng-7527	169	37	normalized	normalized	ADJ
fumecheng-7527	169	38	position	position	NOUN
fumecheng-7527	169	39	of	of	ADP
fumecheng-7527	169	40	the	the	DET
fumecheng-7527	169	41	second	second	ADJ
fumecheng-7527	169	42	contact	contact	NOUN
fumecheng-7527	169	43	spot	spot	NOUN
fumecheng-7527	169	44	,	,	PUNCT
fumecheng-7527	169	45	ξ2	ξ2	NOUN
fumecheng-7527	169	46	=	=	SYM
fumecheng-7527	169	47	-x2	-x2	PROPN
fumecheng-7527	169	48	/	/	SYM
fumecheng-7527	169	49	x1	x1	PROPN
fumecheng-7527	169	50	,	,	PUNCT
fumecheng-7527	169	51	necessary	necessary	ADJ
fumecheng-7527	169	52	to	to	PART
fumecheng-7527	169	53	enable	enable	VERB
fumecheng-7527	169	54	stationary	stationary	ADJ
fumecheng-7527	169	55	sliding	slide	VERB
fumecheng-7527	169	56	of	of	ADP
fumecheng-7527	169	57	the	the	DET
fumecheng-7527	169	58	third	third	ADJ
fumecheng-7527	169	59	-	-	PUNCT
fumecheng-7527	169	60	body	body	NOUN
fumecheng-7527	169	61	particle	particle	NOUN
fumecheng-7527	169	62	if	if	SCONJ
fumecheng-7527	169	63	the	the	DET
fumecheng-7527	169	64	coefficients	coefficient	NOUN
fumecheng-7527	169	65	of	of	ADP
fumecheng-7527	169	66	friction	friction	NOUN
fumecheng-7527	169	67	on	on	ADP
fumecheng-7527	169	68	both	both	DET
fumecheng-7527	169	69	sides	side	NOUN
fumecheng-7527	169	70	are	be	AUX
fumecheng-7527	169	71	the	the	DET
fumecheng-7527	169	72	same	same	ADJ
fumecheng-7527	169	73	.	.	PUNCT
fumecheng-7527	170	1	the	the	DET
fumecheng-7527	170	2	normalized	normalize	VERB
fumecheng-7527	170	3	gap	gap	NOUN
fumecheng-7527	170	4	width	width	NOUN
fumecheng-7527	170	5	between	between	ADP
fumecheng-7527	170	6	the	the	DET
fumecheng-7527	170	7	first	first	ADJ
fumecheng-7527	170	8	body	body	NOUN
fumecheng-7527	170	9	surfaces	surface	NOUN
fumecheng-7527	170	10	was	be	AUX
fumecheng-7527	170	11	chosen	choose	VERB
fumecheng-7527	170	12	to	to	PART
fumecheng-7527	170	13	be	be	AUX
fumecheng-7527	170	14	h	h	NOUN
fumecheng-7527	170	15	=	=	PUNCT
fumecheng-7527	170	16	µh0	µh0	PROPN
fumecheng-7527	170	17	/	/	SYM
fumecheng-7527	170	18	x1	x1	PROPN
fumecheng-7527	171	1	=	=	VERB
fumecheng-7527	171	2	1	1	X
fumecheng-7527	171	3	.	.	PUNCT
fumecheng-7527	171	4	geometrical	geometrical	ADJ
fumecheng-7527	171	5	notations	notation	NOUN
fumecheng-7527	171	6	as	as	ADP
fumecheng-7527	171	7	in	in	ADP
fumecheng-7527	171	8	fig	fig	NOUN
fumecheng-7527	171	9	.	.	PUNCT
fumecheng-7527	172	1	1	1	NUM
fumecheng-7527	172	2	.	.	X
fumecheng-7527	172	3	7	7	X
fumecheng-7527	172	4	.	.	X
fumecheng-7527	172	5	discussion	discussion	NOUN
fumecheng-7527	172	6	and	and	CCONJ
fumecheng-7527	172	7	conclusions	conclusion	NOUN
fumecheng-7527	172	8	in	in	ADP
fumecheng-7527	172	9	the	the	DET
fumecheng-7527	172	10	considerations	consideration	NOUN
fumecheng-7527	172	11	above	above	ADP
fumecheng-7527	172	12	several	several	ADJ
fumecheng-7527	172	13	simplifying	simplifying	NOUN
fumecheng-7527	172	14	assumptions	assumption	NOUN
fumecheng-7527	172	15	have	have	AUX
fumecheng-7527	172	16	been	be	AUX
fumecheng-7527	172	17	made	make	VERB
fumecheng-7527	172	18	to	to	PART
fumecheng-7527	172	19	allow	allow	VERB
fumecheng-7527	172	20	for	for	ADP
fumecheng-7527	172	21	analytical	analytical	ADJ
fumecheng-7527	172	22	treatment	treatment	NOUN
fumecheng-7527	172	23	of	of	ADP
fumecheng-7527	172	24	the	the	DET
fumecheng-7527	172	25	problem	problem	NOUN
fumecheng-7527	172	26	,	,	PUNCT
fumecheng-7527	172	27	most	most	ADV
fumecheng-7527	172	28	prominently	prominently	ADV
fumecheng-7527	172	29	the	the	DET
fumecheng-7527	172	30	amontons	amonton	NOUN
fumecheng-7527	172	31	-	-	PUNCT
fumecheng-7527	172	32	law	law	NOUN
fumecheng-7527	172	33	,	,	PUNCT
fumecheng-7527	172	34	linear	linear	ADJ
fumecheng-7527	172	35	elasticity	elasticity	NOUN
fumecheng-7527	172	36	and	and	CCONJ
fumecheng-7527	172	37	the	the	DET
fumecheng-7527	172	38	absence	absence	NOUN
fumecheng-7527	172	39	of	of	ADP
fumecheng-7527	172	40	surface	surface	NOUN
fumecheng-7527	172	41	roughness	roughness	NOUN
fumecheng-7527	172	42	and	and	CCONJ
fumecheng-7527	172	43	elastic	elastic	ADJ
fumecheng-7527	172	44	coupling	coupling	NOUN
fumecheng-7527	172	45	.	.	PUNCT
fumecheng-7527	173	1	however	however	ADV
fumecheng-7527	173	2	,	,	PUNCT
fumecheng-7527	173	3	most	most	ADJ
fumecheng-7527	173	4	findings	finding	NOUN
fumecheng-7527	173	5	are	be	AUX
fumecheng-7527	173	6	a	a	DET
fumecheng-7527	173	7	consequence	consequence	NOUN
fumecheng-7527	173	8	of	of	ADP
fumecheng-7527	173	9	the	the	DET
fumecheng-7527	173	10	principal	principal	ADJ
fumecheng-7527	173	11	structure	structure	NOUN
fumecheng-7527	173	12	of	of	ADP
fumecheng-7527	173	13	the	the	DET
fumecheng-7527	173	14	three	three	NUM
fumecheng-7527	173	15	-	-	PUNCT
fumecheng-7527	173	16	body	body	NOUN
fumecheng-7527	173	17	contact	contact	NOUN
fumecheng-7527	173	18	problem	problem	NOUN
fumecheng-7527	173	19	and	and	CCONJ
fumecheng-7527	173	20	its	its	PRON
fumecheng-7527	173	21	resulting	result	VERB
fumecheng-7527	173	22	static	static	ADJ
fumecheng-7527	173	23	indeterminateness	indeterminateness	NOUN
fumecheng-7527	173	24	.	.	PUNCT
fumecheng-7527	174	1	it	it	PRON
fumecheng-7527	174	2	was	be	AUX
fumecheng-7527	174	3	shown	show	VERB
fumecheng-7527	174	4	how	how	SCONJ
fumecheng-7527	174	5	global	global	ADJ
fumecheng-7527	174	6	external	external	ADJ
fumecheng-7527	174	7	forces	force	NOUN
fumecheng-7527	174	8	on	on	ADP
fumecheng-7527	174	9	the	the	DET
fumecheng-7527	174	10	third	third	ADJ
fumecheng-7527	174	11	-	-	PUNCT
fumecheng-7527	174	12	body	body	NOUN
fumecheng-7527	174	13	particle	particle	NOUN
fumecheng-7527	174	14	–	–	PUNCT
fumecheng-7527	174	15	like	like	ADP
fumecheng-7527	174	16	its	its	PRON
fumecheng-7527	174	17	weight	weight	NOUN
fumecheng-7527	174	18	–	–	PUNCT
fumecheng-7527	174	19	can	can	AUX
fumecheng-7527	174	20	influence	influence	VERB
fumecheng-7527	174	21	the	the	DET
fumecheng-7527	174	22	local	local	ADJ
fumecheng-7527	174	23	contact	contact	NOUN
fumecheng-7527	174	24	problem	problem	NOUN
fumecheng-7527	174	25	and	and	CCONJ
fumecheng-7527	174	26	that	that	SCONJ
fumecheng-7527	174	27	static	static	ADJ
fumecheng-7527	174	28	slip	slip	NOUN
fumecheng-7527	174	29	and	and	CCONJ
fumecheng-7527	174	30	stationary	stationary	ADJ
fumecheng-7527	174	31	sliding	slide	VERB
fumecheng-7527	174	32	are	be	AUX
fumecheng-7527	174	33	only	only	ADV
fumecheng-7527	174	34	possible	possible	ADJ
fumecheng-7527	174	35	(	(	PUNCT
fumecheng-7527	174	36	but	but	CCONJ
fumecheng-7527	174	37	they	they	PRON
fumecheng-7527	174	38	are	be	AUX
fumecheng-7527	174	39	possible	possible	ADJ
fumecheng-7527	174	40	,	,	PUNCT
fumecheng-7527	174	41	at	at	ADP
fumecheng-7527	174	42	least	least	ADJ
fumecheng-7527	174	43	,	,	PUNCT
fumecheng-7527	174	44	if	if	SCONJ
fumecheng-7527	174	45	one	one	PRON
fumecheng-7527	174	46	neglects	neglect	VERB
fumecheng-7527	174	47	frictional	frictional	ADJ
fumecheng-7527	174	48	instabilities	instability	NOUN
fumecheng-7527	174	49	)	)	PUNCT
fumecheng-7527	174	50	for	for	ADP
fumecheng-7527	174	51	specific	specific	ADJ
fumecheng-7527	174	52	system	system	NOUN
fumecheng-7527	174	53	configurations	configuration	NOUN
fumecheng-7527	174	54	.	.	PUNCT
fumecheng-7527	175	1	for	for	ADP
fumecheng-7527	175	2	example	example	NOUN
fumecheng-7527	175	3	,	,	PUNCT
fumecheng-7527	175	4	for	for	ADP
fumecheng-7527	175	5	stationary	stationary	ADJ
fumecheng-7527	175	6	sliding	slide	VERB
fumecheng-7527	175	7	,	,	PUNCT
fumecheng-7527	175	8	if	if	SCONJ
fumecheng-7527	175	9	external	external	ADJ
fumecheng-7527	175	10	forces	force	NOUN
fumecheng-7527	175	11	are	be	AUX
fumecheng-7527	175	12	absent	absent	ADJ
fumecheng-7527	175	13	,	,	PUNCT
fumecheng-7527	175	14	the	the	DET
fumecheng-7527	175	15	frictional	frictional	ADJ
fumecheng-7527	175	16	properties	property	NOUN
fumecheng-7527	175	17	of	of	ADP
fumecheng-7527	175	18	the	the	DET
fumecheng-7527	175	19	upper	upper	ADJ
fumecheng-7527	175	20	and	and	CCONJ
fumecheng-7527	175	21	lower	low	ADJ
fumecheng-7527	175	22	contacts	contact	NOUN
fumecheng-7527	175	23	must	must	AUX
fumecheng-7527	175	24	be	be	AUX
fumecheng-7527	175	25	the	the	DET
fumecheng-7527	175	26	same	same	ADJ
fumecheng-7527	175	27	.	.	PUNCT
fumecheng-7527	176	1	that	that	DET
fumecheng-7527	176	2	condition	condition	NOUN
fumecheng-7527	176	3	is	be	AUX
fumecheng-7527	176	4	,	,	PUNCT
fumecheng-7527	176	5	however	however	ADV
fumecheng-7527	176	6	,	,	PUNCT
fumecheng-7527	176	7	not	not	PART
fumecheng-7527	176	8	sufficient	sufficient	ADJ
fumecheng-7527	176	9	,	,	PUNCT
fumecheng-7527	176	10	as	as	SCONJ
fumecheng-7527	176	11	the	the	DET
fumecheng-7527	176	12	equilibrium	equilibrium	NOUN
fumecheng-7527	176	13	of	of	ADP
fumecheng-7527	176	14	the	the	DET
fumecheng-7527	176	15	moments	moment	NOUN
fumecheng-7527	176	16	of	of	ADP
fumecheng-7527	176	17	force	force	NOUN
fumecheng-7527	176	18	will	will	AUX
fumecheng-7527	176	19	impose	impose	VERB
fumecheng-7527	176	20	another	another	DET
fumecheng-7527	176	21	restriction	restriction	NOUN
fumecheng-7527	176	22	for	for	ADP
fumecheng-7527	176	23	the	the	DET
fumecheng-7527	176	24	geometrical	geometrical	ADJ
fumecheng-7527	176	25	“	"	PUNCT
fumecheng-7527	176	26	arrangement	arrangement	NOUN
fumecheng-7527	176	27	”	"	PUNCT
fumecheng-7527	176	28	of	of	ADP
fumecheng-7527	176	29	the	the	DET
fumecheng-7527	176	30	contact	contact	NOUN
fumecheng-7527	176	31	spots	spot	NOUN
fumecheng-7527	176	32	.	.	PUNCT
fumecheng-7527	177	1	that	that	DET
fumecheng-7527	177	2	restriction	restriction	NOUN
fumecheng-7527	177	3	seems	seem	VERB
fumecheng-7527	177	4	to	to	PART
fumecheng-7527	177	5	be	be	AUX
fumecheng-7527	177	6	independent	independent	ADJ
fumecheng-7527	177	7	of	of	ADP
fumecheng-7527	177	8	the	the	DET
fumecheng-7527	177	9	elastic	elastic	ADJ
fumecheng-7527	177	10	properties	property	NOUN
fumecheng-7527	177	11	but	but	CCONJ
fumecheng-7527	177	12	does	do	AUX
fumecheng-7527	177	13	depend	depend	VERB
fumecheng-7527	177	14	on	on	ADP
fumecheng-7527	177	15	the	the	DET
fumecheng-7527	177	16	local	local	ADJ
fumecheng-7527	177	17	geometry	geometry	NOUN
fumecheng-7527	177	18	in	in	ADP
fumecheng-7527	177	19	the	the	DET
fumecheng-7527	177	20	vicinity	vicinity	NOUN
fumecheng-7527	177	21	of	of	ADP
fumecheng-7527	177	22	the	the	DET
fumecheng-7527	177	23	contact	contact	NOUN
fumecheng-7527	177	24	spots	spot	NOUN
fumecheng-7527	177	25	(	(	PUNCT
fumecheng-7527	177	26	which	which	PRON
fumecheng-7527	177	27	strongly	strongly	ADV
fumecheng-7527	177	28	influences	influence	VERB
fumecheng-7527	177	29	the	the	DET
fumecheng-7527	177	30	respective	respective	ADJ
fumecheng-7527	177	31	normal	normal	ADJ
fumecheng-7527	177	32	contact	contact	NOUN
fumecheng-7527	177	33	solution	solution	NOUN
fumecheng-7527	177	34	)	)	PUNCT
fumecheng-7527	177	35	.	.	PUNCT
fumecheng-7527	178	1	references	reference	NOUN
fumecheng-7527	178	2	1	1	NUM
fumecheng-7527	178	3	.	.	PUNCT
fumecheng-7527	179	1	greenwood	greenwood	PROPN
fumecheng-7527	179	2	,	,	PUNCT
fumecheng-7527	179	3	j.a	j.a	PROPN
fumecheng-7527	179	4	.	.	PROPN
fumecheng-7527	179	5	,	,	PUNCT
fumecheng-7527	179	6	2020	2020	NUM
fumecheng-7527	179	7	,	,	PUNCT
fumecheng-7527	179	8	metal	metal	NOUN
fumecheng-7527	179	9	transfer	transfer	NOUN
fumecheng-7527	179	10	and	and	CCONJ
fumecheng-7527	179	11	wear	wear	VERB
fumecheng-7527	179	12	,	,	PUNCT
fumecheng-7527	179	13	frontiers	frontier	NOUN
fumecheng-7527	179	14	in	in	ADP
fumecheng-7527	179	15	mechanical	mechanical	ADJ
fumecheng-7527	179	16	engineering	engineering	NOUN
fumecheng-7527	179	17	,	,	PUNCT
fumecheng-7527	179	18	6	6	NUM
fumecheng-7527	179	19	,	,	PUNCT
fumecheng-7527	179	20	62	62	NUM
fumecheng-7527	179	21	.	.	NOUN
fumecheng-7527	179	22	2	2	NUM
fumecheng-7527	179	23	.	.	X
fumecheng-7527	179	24	ostermeyer	ostermeyer	PROPN
fumecheng-7527	179	25	,	,	PUNCT
fumecheng-7527	179	26	g.p	g.p	PROPN
fumecheng-7527	179	27	.	.	PROPN
fumecheng-7527	179	28	,	,	PUNCT
fumecheng-7527	179	29	brumme	brumme	PROPN
fumecheng-7527	179	30	,	,	PUNCT
fumecheng-7527	179	31	s.	s.	PROPN
fumecheng-7527	179	32	,	,	PUNCT
fumecheng-7527	179	33	recke	recke	PROPN
fumecheng-7527	179	34	,	,	PUNCT
fumecheng-7527	179	35	b.	b.	PROPN
fumecheng-7527	179	36	,	,	PUNCT
fumecheng-7527	179	37	2017	2017	NUM
fumecheng-7527	179	38	,	,	PUNCT
fumecheng-7527	179	39	the	the	DET
fumecheng-7527	179	40	wear	wear	NOUN
fumecheng-7527	179	41	debris	debris	NOUN
fumecheng-7527	179	42	investigator	investigator	NOUN
fumecheng-7527	179	43	–	–	PUNCT
fumecheng-7527	179	44	a	a	DET
fumecheng-7527	179	45	new	new	ADJ
fumecheng-7527	179	46	device	device	NOUN
fumecheng-7527	179	47	for	for	ADP
fumecheng-7527	179	48	studying	study	VERB
fumecheng-7527	179	49	the	the	DET
fumecheng-7527	179	50	formation	formation	NOUN
fumecheng-7527	179	51	of	of	ADP
fumecheng-7527	179	52	particles	particle	NOUN
fumecheng-7527	179	53	in	in	ADP
fumecheng-7527	179	54	the	the	DET
fumecheng-7527	179	55	contact	contact	NOUN
fumecheng-7527	179	56	area	area	NOUN
fumecheng-7527	179	57	,	,	PUNCT
fumecheng-7527	179	58	proc	proc	PROPN
fumecheng-7527	179	59	.	.	PUNCT
fumecheng-7527	180	1	eurobrake	eurobrake	PROPN
fumecheng-7527	180	2	,	,	PUNCT
fumecheng-7527	180	3	dresden	dresden	PROPN
fumecheng-7527	180	4	,	,	PUNCT
fumecheng-7527	180	5	eb2017	eb2017	NOUN
fumecheng-7527	180	6	-	-	PUNCT
fumecheng-7527	180	7	vdt-019	vdt-019	NOUN
fumecheng-7527	180	8	.	.	PUNCT
fumecheng-7527	181	1	3	3	X
fumecheng-7527	181	2	.	.	X
fumecheng-7527	181	3	aghababaei	aghababaei	PROPN
fumecheng-7527	181	4	,	,	PUNCT
fumecheng-7527	181	5	r.	r.	PROPN
fumecheng-7527	181	6	,	,	PUNCT
fumecheng-7527	181	7	warner	warner	PROPN
fumecheng-7527	181	8	,	,	PUNCT
fumecheng-7527	181	9	d.h	d.h	PROPN
fumecheng-7527	181	10	.	.	PROPN
fumecheng-7527	181	11	,	,	PUNCT
fumecheng-7527	181	12	molinari	molinari	PROPN
fumecheng-7527	181	13	,	,	PUNCT
fumecheng-7527	181	14	j.f	j.f	PROPN
fumecheng-7527	181	15	.	.	PROPN
fumecheng-7527	181	16	,	,	PUNCT
fumecheng-7527	181	17	2016	2016	NUM
fumecheng-7527	181	18	,	,	PUNCT
fumecheng-7527	181	19	critical	critical	ADJ
fumecheng-7527	181	20	length	length	NOUN
fumecheng-7527	181	21	scale	scale	NOUN
fumecheng-7527	181	22	controls	control	VERB
fumecheng-7527	181	23	adhesive	adhesive	ADJ
fumecheng-7527	181	24	wear	wear	NOUN
fumecheng-7527	181	25	mechanisms	mechanism	NOUN
fumecheng-7527	181	26	,	,	PUNCT
fumecheng-7527	181	27	nature	nature	NOUN
fumecheng-7527	181	28	communication	communication	NOUN
fumecheng-7527	181	29	,	,	PUNCT
fumecheng-7527	181	30	7	7	NUM
fumecheng-7527	181	31	,	,	PUNCT
fumecheng-7527	181	32	11816	11816	NUM
fumecheng-7527	181	33	.	.	PUNCT
fumecheng-7527	182	1	self	self	NOUN
fumecheng-7527	182	2	-	-	PUNCT
fumecheng-7527	182	3	consistency	consistency	NOUN
fumecheng-7527	182	4	conditions	condition	NOUN
fumecheng-7527	182	5	in	in	ADP
fumecheng-7527	182	6	static	static	ADJ
fumecheng-7527	182	7	three	three	NUM
fumecheng-7527	182	8	-	-	PUNCT
fumecheng-7527	182	9	body	body	NOUN
fumecheng-7527	182	10	elastic	elastic	ADJ
fumecheng-7527	182	11	tangential	tangential	ADJ
fumecheng-7527	182	12	contact	contact	NOUN
fumecheng-7527	182	13	457	457	NUM
fumecheng-7527	182	14	4	4	NUM
fumecheng-7527	182	15	.	.	PUNCT
fumecheng-7527	182	16	de	de	PROPN
fumecheng-7527	182	17	payrebrune	payrebrune	PROPN
fumecheng-7527	182	18	,	,	PUNCT
fumecheng-7527	182	19	k.m	k.m	PROPN
fumecheng-7527	182	20	.	.	PROPN
fumecheng-7527	182	21	,	,	PUNCT
fumecheng-7527	182	22	kröger	kröger	PROPN
fumecheng-7527	182	23	,	,	PUNCT
fumecheng-7527	182	24	m.	m.	NOUN
fumecheng-7527	182	25	,	,	PUNCT
fumecheng-7527	182	26	2015	2015	NUM
fumecheng-7527	182	27	,	,	PUNCT
fumecheng-7527	182	28	kinematic	kinematic	VERB
fumecheng-7527	182	29	analysis	analysis	NOUN
fumecheng-7527	182	30	of	of	ADP
fumecheng-7527	182	31	particles	particle	NOUN
fumecheng-7527	182	32	in	in	ADP
fumecheng-7527	182	33	three	three	NUM
fumecheng-7527	182	34	-	-	PUNCT
fumecheng-7527	182	35	body	body	NOUN
fumecheng-7527	182	36	contact	contact	NOUN
fumecheng-7527	182	37	,	,	PUNCT
fumecheng-7527	182	38	tribology	tribology	PROPN
fumecheng-7527	182	39	international	international	PROPN
fumecheng-7527	182	40	,	,	PUNCT
fumecheng-7527	182	41	81	81	NUM
fumecheng-7527	182	42	,	,	PUNCT
fumecheng-7527	182	43	pp	pp	ADJ
fumecheng-7527	182	44	.	.	PUNCT
fumecheng-7527	183	1	240	240	NUM
fumecheng-7527	183	2	-	-	SYM
fumecheng-7527	183	3	247	247	NUM
fumecheng-7527	183	4	.	.	NOUN
fumecheng-7527	184	1	5	5	NUM
fumecheng-7527	184	2	.	.	X
fumecheng-7527	184	3	ostermeyer	ostermeyer	PROPN
fumecheng-7527	184	4	,	,	PUNCT
fumecheng-7527	184	5	g.p	g.p	PROPN
fumecheng-7527	184	6	.	.	PROPN
fumecheng-7527	184	7	,	,	PUNCT
fumecheng-7527	184	8	2003	2003	NUM
fumecheng-7527	184	9	,	,	PUNCT
fumecheng-7527	184	10	on	on	ADP
fumecheng-7527	184	11	the	the	DET
fumecheng-7527	184	12	dynamics	dynamic	NOUN
fumecheng-7527	184	13	of	of	ADP
fumecheng-7527	184	14	the	the	DET
fumecheng-7527	184	15	friction	friction	NOUN
fumecheng-7527	184	16	coefficient	coefficient	NOUN
fumecheng-7527	184	17	,	,	PUNCT
fumecheng-7527	184	18	wear	wear	VERB
fumecheng-7527	184	19	,	,	PUNCT
fumecheng-7527	184	20	254	254	NUM
fumecheng-7527	184	21	,	,	PUNCT
fumecheng-7527	184	22	pp	pp	ADJ
fumecheng-7527	184	23	.	.	PUNCT
fumecheng-7527	185	1	852	852	NUM
fumecheng-7527	185	2	-	-	SYM
fumecheng-7527	185	3	858	858	NUM
fumecheng-7527	185	4	.	.	NOUN
fumecheng-7527	186	1	6	6	NUM
fumecheng-7527	186	2	.	.	X
fumecheng-7527	186	3	deng	deng	PROPN
fumecheng-7527	186	4	,	,	PUNCT
fumecheng-7527	186	5	f.	f.	PROPN
fumecheng-7527	186	6	,	,	PUNCT
fumecheng-7527	186	7	tsekenis	tsekenis	PROPN
fumecheng-7527	186	8	,	,	PUNCT
fumecheng-7527	186	9	g.	g.	PROPN
fumecheng-7527	186	10	,	,	PUNCT
fumecheng-7527	186	11	rubinstein	rubinstein	PROPN
fumecheng-7527	186	12	,	,	PUNCT
fumecheng-7527	186	13	s.m	s.m	PROPN
fumecheng-7527	186	14	.	.	PROPN
fumecheng-7527	186	15	,	,	PUNCT
fumecheng-7527	186	16	2019	2019	NUM
fumecheng-7527	186	17	,	,	PUNCT
fumecheng-7527	186	18	simple	simple	ADJ
fumecheng-7527	186	19	law	law	NOUN
fumecheng-7527	186	20	for	for	ADP
fumecheng-7527	186	21	third	third	ADJ
fumecheng-7527	186	22	-	-	PUNCT
fumecheng-7527	186	23	body	body	NOUN
fumecheng-7527	186	24	friction	friction	NOUN
fumecheng-7527	186	25	,	,	PUNCT
fumecheng-7527	186	26	physical	physical	ADJ
fumecheng-7527	186	27	review	review	NOUN
fumecheng-7527	186	28	letters	letter	NOUN
fumecheng-7527	186	29	,	,	PUNCT
fumecheng-7527	186	30	122	122	NUM
fumecheng-7527	186	31	,	,	PUNCT
fumecheng-7527	186	32	135503	135503	NUM
fumecheng-7527	186	33	.	.	PUNCT
fumecheng-7527	187	1	7	7	X
fumecheng-7527	187	2	.	.	X
fumecheng-7527	187	3	hsia	hsia	PROPN
fumecheng-7527	187	4	,	,	PUNCT
fumecheng-7527	187	5	f.-c	f.-c	PROPN
fumecheng-7527	187	6	.	.	PUNCT
fumecheng-7527	187	7	,	,	PUNCT
fumecheng-7527	187	8	elam	elam	PROPN
fumecheng-7527	187	9	,	,	PUNCT
fumecheng-7527	187	10	f.m	f.m	PROPN
fumecheng-7527	187	11	.	.	PROPN
fumecheng-7527	187	12	,	,	PUNCT
fumecheng-7527	187	13	bonn	bonn	PROPN
fumecheng-7527	187	14	,	,	PUNCT
fumecheng-7527	187	15	d.	d.	PROPN
fumecheng-7527	187	16	,	,	PUNCT
fumecheng-7527	187	17	weber	weber	PROPN
fumecheng-7527	187	18	,	,	PUNCT
fumecheng-7527	187	19	b.	b.	PROPN
fumecheng-7527	187	20	,	,	PUNCT
fumecheng-7527	187	21	franklin	franklin	PROPN
fumecheng-7527	187	22	,	,	PUNCT
fumecheng-7527	187	23	s.e	s.e	PROPN
fumecheng-7527	187	24	.	.	PROPN
fumecheng-7527	187	25	,	,	PUNCT
fumecheng-7527	187	26	2020	2020	NUM
fumecheng-7527	187	27	,	,	PUNCT
fumecheng-7527	187	28	wear	wear	VERB
fumecheng-7527	187	29	particle	particle	NOUN
fumecheng-7527	187	30	dynamics	dynamic	NOUN
fumecheng-7527	187	31	drive	drive	VERB
fumecheng-7527	187	32	the	the	DET
fumecheng-7527	187	33	difference	difference	NOUN
fumecheng-7527	187	34	between	between	ADP
fumecheng-7527	187	35	repeated	repeat	VERB
fumecheng-7527	187	36	and	and	CCONJ
fumecheng-7527	187	37	non	non	ADJ
fumecheng-7527	187	38	-	-	ADJ
fumecheng-7527	187	39	repeated	repeat	VERB
fumecheng-7527	187	40	reciprocated	reciprocated	ADJ
fumecheng-7527	187	41	sliding	sliding	PROPN
fumecheng-7527	187	42	,	,	PUNCT
fumecheng-7527	187	43	tribology	tribology	PROPN
fumecheng-7527	187	44	international	international	NOUN
fumecheng-7527	187	45	,	,	PUNCT
fumecheng-7527	187	46	142	142	NUM
fumecheng-7527	187	47	,	,	PUNCT
fumecheng-7527	187	48	2020	2020	NUM
fumecheng-7527	187	49	,	,	PUNCT
fumecheng-7527	187	50	105983	105983	NUM
fumecheng-7527	187	51	.	.	PUNCT
fumecheng-7527	188	1	8	8	X
fumecheng-7527	188	2	.	.	X
fumecheng-7527	189	1	shi	shi	PROPN
fumecheng-7527	189	2	,	,	PUNCT
fumecheng-7527	189	3	j.	j.	PROPN
fumecheng-7527	189	4	,	,	PUNCT
fumecheng-7527	189	5	chen	chen	PROPN
fumecheng-7527	189	6	,	,	PUNCT
fumecheng-7527	189	7	j.	j.	PROPN
fumecheng-7527	189	8	,	,	PUNCT
fumecheng-7527	189	9	wie	wie	PROPN
fumecheng-7527	189	10	,	,	PUNCT
fumecheng-7527	189	11	x.	x.	PROPN
fumecheng-7527	189	12	,	,	PUNCT
fumecheng-7527	189	13	fang	fang	PROPN
fumecheng-7527	189	14	,	,	PUNCT
fumecheng-7527	189	15	l.	l.	PROPN
fumecheng-7527	189	16	,	,	PUNCT
fumecheng-7527	189	17	sun	sun	PROPN
fumecheng-7527	189	18	,	,	PUNCT
fumecheng-7527	189	19	k.	k.	PROPN
fumecheng-7527	189	20	,	,	PUNCT
fumecheng-7527	189	21	sun	sun	PROPN
fumecheng-7527	189	22	,	,	PUNCT
fumecheng-7527	189	23	j.	j.	PROPN
fumecheng-7527	189	24	,	,	PUNCT
fumecheng-7527	189	25	han	han	PROPN
fumecheng-7527	189	26	,	,	PUNCT
fumecheng-7527	189	27	j.	j.	PROPN
fumecheng-7527	189	28	,	,	PUNCT
fumecheng-7527	189	29	2017	2017	NUM
fumecheng-7527	189	30	,	,	PUNCT
fumecheng-7527	189	31	influence	influence	NOUN
fumecheng-7527	189	32	of	of	ADP
fumecheng-7527	189	33	normal	normal	ADJ
fumecheng-7527	189	34	load	load	NOUN
fumecheng-7527	189	35	on	on	ADP
fumecheng-7527	189	36	the	the	DET
fumecheng-7527	189	37	threebody	threebody	NOUN
fumecheng-7527	189	38	abrasion	abrasion	NOUN
fumecheng-7527	189	39	behaviour	behaviour	NOUN
fumecheng-7527	189	40	of	of	ADP
fumecheng-7527	189	41	monocrystalline	monocrystalline	ADJ
fumecheng-7527	189	42	silicon	silicon	NOUN
fumecheng-7527	189	43	with	with	ADP
fumecheng-7527	189	44	ellipsoidal	ellipsoidal	ADJ
fumecheng-7527	189	45	particle	particle	NOUN
fumecheng-7527	189	46	,	,	PUNCT
fumecheng-7527	189	47	royal	royal	ADJ
fumecheng-7527	189	48	society	society	NOUN
fumecheng-7527	189	49	of	of	ADP
fumecheng-7527	189	50	chemistryadvances,7	chemistryadvances,7	VERB
fumecheng-7527	189	51	,	,	PUNCT
fumecheng-7527	189	52	pp	pp	ADJ
fumecheng-7527	189	53	.	.	PUNCT
fumecheng-7527	189	54	30929	30929	NUM
fumecheng-7527	189	55	-	-	SYM
fumecheng-7527	189	56	30940	30940	NUM
fumecheng-7527	189	57	.	.	PUNCT
fumecheng-7527	190	1	9	9	X
fumecheng-7527	190	2	.	.	X
fumecheng-7527	190	3	fang	fang	PROPN
fumecheng-7527	190	4	,	,	PUNCT
fumecheng-7527	190	5	l.	l.	PROPN
fumecheng-7527	190	6	,	,	PUNCT
fumecheng-7527	190	7	liu	liu	PROPN
fumecheng-7527	190	8	,	,	PUNCT
fumecheng-7527	190	9	w.	w.	PROPN
fumecheng-7527	190	10	,	,	PUNCT
fumecheng-7527	190	11	du	du	PROPN
fumecheng-7527	190	12	,	,	PUNCT
fumecheng-7527	190	13	d.	d.	PROPN
fumecheng-7527	190	14	,	,	PUNCT
fumecheng-7527	190	15	zhang	zhang	PROPN
fumecheng-7527	190	16	,	,	PUNCT
fumecheng-7527	190	17	x.	x.	PROPN
fumecheng-7527	190	18	,	,	PUNCT
fumecheng-7527	190	19	xue	xue	PROPN
fumecheng-7527	190	20	,	,	PUNCT
fumecheng-7527	190	21	q.	q.	PROPN
fumecheng-7527	190	22	,	,	PUNCT
fumecheng-7527	190	23	2004	2004	NUM
fumecheng-7527	190	24	,	,	PUNCT
fumecheng-7527	190	25	predicting	predict	VERB
fumecheng-7527	190	26	three	three	NUM
fumecheng-7527	190	27	-	-	PUNCT
fumecheng-7527	190	28	body	body	NOUN
fumecheng-7527	190	29	abrasive	abrasive	NOUN
fumecheng-7527	190	30	wear	wear	NOUN
fumecheng-7527	190	31	using	use	VERB
fumecheng-7527	190	32	monte	monte	PROPN
fumecheng-7527	190	33	carlo	carlo	PROPN
fumecheng-7527	190	34	methods	method	NOUN
fumecheng-7527	190	35	,	,	PUNCT
fumecheng-7527	190	36	wear,256	wear,256	PROPN
fumecheng-7527	190	37	,	,	PUNCT
fumecheng-7527	190	38	pp	pp	X
fumecheng-7527	190	39	.	.	PUNCT
fumecheng-7527	191	1	685	685	NUM
fumecheng-7527	191	2	-	-	SYM
fumecheng-7527	191	3	694	694	NUM
fumecheng-7527	191	4	.	.	PUNCT
fumecheng-7527	192	1	10	10	NUM
fumecheng-7527	192	2	.	.	X
fumecheng-7527	193	1	tergeist	tergeist	NOUN
fumecheng-7527	193	2	,	,	PUNCT
fumecheng-7527	193	3	m.	m.	NOUN
fumecheng-7527	193	4	,	,	PUNCT
fumecheng-7527	193	5	müller	müller	PROPN
fumecheng-7527	193	6	,	,	PUNCT
fumecheng-7527	193	7	m.	m.	NOUN
fumecheng-7527	193	8	,	,	PUNCT
fumecheng-7527	193	9	ostermeyer	ostermeyer	NOUN
fumecheng-7527	193	10	,	,	PUNCT
fumecheng-7527	193	11	g.p	g.p	PROPN
fumecheng-7527	193	12	.	.	PROPN
fumecheng-7527	193	13	,	,	PUNCT
fumecheng-7527	193	14	2013	2013	NUM
fumecheng-7527	193	15	,	,	PUNCT
fumecheng-7527	193	16	modeling	modeling	NOUN
fumecheng-7527	193	17	of	of	ADP
fumecheng-7527	193	18	the	the	DET
fumecheng-7527	193	19	wear	wear	NOUN
fumecheng-7527	193	20	particle	particle	NOUN
fumecheng-7527	193	21	flow	flow	NOUN
fumecheng-7527	193	22	in	in	ADP
fumecheng-7527	193	23	tribological	tribological	ADJ
fumecheng-7527	193	24	contacts	contact	NOUN
fumecheng-7527	193	25	,	,	PUNCT
fumecheng-7527	193	26	proceeding	proceed	VERB
fumecheng-7527	193	27	in	in	ADP
fumecheng-7527	193	28	applied	apply	VERB
fumecheng-7527	193	29	mathematics	mathematic	NOUN
fumecheng-7527	193	30	and	and	CCONJ
fumecheng-7527	193	31	mechanics	mechanic	NOUN
fumecheng-7527	193	32	,	,	PUNCT
fumecheng-7527	193	33	13	13	NUM
fumecheng-7527	193	34	,	,	PUNCT
fumecheng-7527	193	35	pp	pp	ADJ
fumecheng-7527	193	36	.	.	PUNCT
fumecheng-7527	194	1	123	123	NUM
fumecheng-7527	194	2	-	-	SYM
fumecheng-7527	194	3	124	124	NUM
fumecheng-7527	194	4	.	.	PUNCT
fumecheng-7527	195	1	11	11	NUM
fumecheng-7527	195	2	.	.	PUNCT
fumecheng-7527	196	1	li	li	PROPN
fumecheng-7527	196	2	,	,	PUNCT
fumecheng-7527	196	3	q.	q.	PROPN
fumecheng-7527	196	4	,	,	PUNCT
fumecheng-7527	196	5	2020	2020	NUM
fumecheng-7527	196	6	,	,	PUNCT
fumecheng-7527	196	7	simulation	simulation	NOUN
fumecheng-7527	196	8	of	of	ADP
fumecheng-7527	196	9	a	a	DET
fumecheng-7527	196	10	single	single	ADJ
fumecheng-7527	196	11	third	third	ADJ
fumecheng-7527	196	12	-	-	PUNCT
fumecheng-7527	196	13	body	body	NOUN
fumecheng-7527	196	14	particle	particle	NOUN
fumecheng-7527	196	15	in	in	ADP
fumecheng-7527	196	16	frictional	frictional	ADJ
fumecheng-7527	196	17	contact	contact	NOUN
fumecheng-7527	196	18	,	,	PUNCT
fumecheng-7527	196	19	facta	facta	PROPN
fumecheng-7527	196	20	universitatis	universitatis	PROPN
fumecheng-7527	196	21	-	-	PUNCT
fumecheng-7527	196	22	series	series	NOUN
fumecheng-7527	196	23	mechanical	mechanical	ADJ
fumecheng-7527	196	24	engineering	engineering	NOUN
fumecheng-7527	196	25	,	,	PUNCT
fumecheng-7527	196	26	18(4	18(4	NUM
fumecheng-7527	196	27	)	)	PUNCT
fumecheng-7527	196	28	,	,	PUNCT
fumecheng-7527	196	29	pp	pp	ADJ
fumecheng-7527	196	30	.	.	PUNCT
fumecheng-7527	197	1	537	537	NUM
fumecheng-7527	197	2	-	-	SYM
fumecheng-7527	197	3	544	544	NUM
fumecheng-7527	197	4	.	.	NOUN
fumecheng-7527	197	5	12	12	NUM
fumecheng-7527	197	6	.	.	PUNCT
fumecheng-7527	198	1	bilz	bilz	PROPN
fumecheng-7527	198	2	,	,	PUNCT
fumecheng-7527	198	3	r.	r.	PROPN
fumecheng-7527	198	4	,	,	PUNCT
fumecheng-7527	198	5	de	de	PROPN
fumecheng-7527	198	6	payrebrune	payrebrune	PROPN
fumecheng-7527	198	7	,	,	PUNCT
fumecheng-7527	198	8	k.m	k.m	PROPN
fumecheng-7527	198	9	.	.	PROPN
fumecheng-7527	198	10	,	,	PUNCT
fumecheng-7527	198	11	2019	2019	NUM
fumecheng-7527	198	12	,	,	PUNCT
fumecheng-7527	198	13	analytical	analytical	ADJ
fumecheng-7527	198	14	investigation	investigation	NOUN
fumecheng-7527	198	15	of	of	ADP
fumecheng-7527	198	16	the	the	DET
fumecheng-7527	198	17	motion	motion	NOUN
fumecheng-7527	198	18	of	of	ADP
fumecheng-7527	198	19	lapping	lap	VERB
fumecheng-7527	198	20	particles	particle	NOUN
fumecheng-7527	198	21	,	,	PUNCT
fumecheng-7527	198	22	proceeding	proceed	VERB
fumecheng-7527	198	23	in	in	ADP
fumecheng-7527	198	24	applied	apply	VERB
fumecheng-7527	198	25	mathematics	mathematic	NOUN
fumecheng-7527	198	26	and	and	CCONJ
fumecheng-7527	198	27	mechanics	mechanic	NOUN
fumecheng-7527	198	28	,	,	PUNCT
fumecheng-7527	198	29	19	19	NUM
fumecheng-7527	198	30	,	,	PUNCT
fumecheng-7527	198	31	e201900076	e201900076	NOUN
fumecheng-7527	198	32	.	.	NOUN
fumecheng-7527	198	33	13	13	NUM
fumecheng-7527	198	34	.	.	PUNCT
fumecheng-7527	199	1	popov	popov	PROPN
fumecheng-7527	199	2	,	,	PUNCT
fumecheng-7527	199	3	v.l	v.l	PROPN
fumecheng-7527	199	4	.	.	PROPN
fumecheng-7527	199	5	,	,	PUNCT
fumecheng-7527	199	6	heß	heß	PROPN
fumecheng-7527	199	7	,	,	PUNCT
fumecheng-7527	199	8	m.	m.	NOUN
fumecheng-7527	199	9	,	,	PUNCT
fumecheng-7527	199	10	willert	willert	NOUN
fumecheng-7527	199	11	,	,	PUNCT
fumecheng-7527	199	12	e.	e.	PROPN
fumecheng-7527	199	13	,	,	PUNCT
fumecheng-7527	199	14	2019	2019	NUM
fumecheng-7527	199	15	,	,	PUNCT
fumecheng-7527	199	16	handbook	handbook	NOUN
fumecheng-7527	199	17	of	of	ADP
fumecheng-7527	199	18	contact	contact	NOUN
fumecheng-7527	199	19	mechanics	mechanic	NOUN
fumecheng-7527	199	20	:	:	PUNCT
fumecheng-7527	199	21	exact	exact	ADJ
fumecheng-7527	199	22	solutions	solution	NOUN
fumecheng-7527	199	23	of	of	ADP
fumecheng-7527	199	24	axisymmetric	axisymmetric	ADJ
fumecheng-7527	199	25	contact	contact	NOUN
fumecheng-7527	199	26	problems	problem	NOUN
fumecheng-7527	199	27	,	,	PUNCT
fumecheng-7527	199	28	springer	springer	NOUN
fumecheng-7527	199	29	-	-	PUNCT
fumecheng-7527	199	30	verlag	verlag	PROPN
fumecheng-7527	199	31	,	,	PUNCT
fumecheng-7527	199	32	berlin	berlin	PROPN
fumecheng-7527	199	33	heidelberg	heidelberg	PROPN
fumecheng-7527	199	34	,	,	PUNCT
fumecheng-7527	199	35	347	347	NUM
fumecheng-7527	199	36	p.	p.	NOUN
fumecheng-7527	199	37	14	14	NUM
fumecheng-7527	199	38	.	.	PUNCT
fumecheng-7527	200	1	li	li	PROPN
fumecheng-7527	200	2	,	,	PUNCT
fumecheng-7527	200	3	l.	l.	PROPN
fumecheng-7527	200	4	,	,	PUNCT
fumecheng-7527	200	5	wang	wang	PROPN
fumecheng-7527	200	6	,	,	PUNCT
fumecheng-7527	200	7	j.	j.	PROPN
fumecheng-7527	200	8	,	,	PUNCT
fumecheng-7527	200	9	shi	shi	PROPN
fumecheng-7527	200	10	,	,	PUNCT
fumecheng-7527	200	11	x.	x.	PROPN
fumecheng-7527	200	12	,	,	PUNCT
fumecheng-7527	200	13	ma	ma	PROPN
fumecheng-7527	200	14	,	,	PUNCT
fumecheng-7527	200	15	s.	s.	PROPN
fumecheng-7527	200	16	,	,	PUNCT
fumecheng-7527	200	17	cai	cai	PROPN
fumecheng-7527	200	18	,	,	PUNCT
fumecheng-7527	200	19	a.	a.	NOUN
fumecheng-7527	200	20	,	,	PUNCT
fumecheng-7527	200	21	2021	2021	NUM
fumecheng-7527	200	22	,	,	PUNCT
fumecheng-7527	200	23	contact	contact	NOUN
fumecheng-7527	200	24	stiffness	stiffness	NOUN
fumecheng-7527	200	25	model	model	NOUN
fumecheng-7527	200	26	of	of	ADP
fumecheng-7527	200	27	joint	joint	ADJ
fumecheng-7527	200	28	surface	surface	NOUN
fumecheng-7527	200	29	considering	consider	VERB
fumecheng-7527	200	30	continuous	continuous	ADJ
fumecheng-7527	200	31	smooth	smooth	ADJ
fumecheng-7527	200	32	characteristics	characteristic	NOUN
fumecheng-7527	200	33	and	and	CCONJ
fumecheng-7527	200	34	asperity	asperity	NOUN
fumecheng-7527	200	35	interaction	interaction	NOUN
fumecheng-7527	200	36	,	,	PUNCT
fumecheng-7527	200	37	tribology	tribology	NOUN
fumecheng-7527	200	38	letters	letter	NOUN
fumecheng-7527	200	39	,	,	PUNCT
fumecheng-7527	200	40	69	69	NUM
fumecheng-7527	200	41	,	,	PUNCT
fumecheng-7527	200	42	43	43	NUM
fumecheng-7527	200	43	.	.	NOUN
fumecheng-7527	200	44	15	15	NUM
fumecheng-7527	200	45	.	.	PUNCT
fumecheng-7527	201	1	carbone	carbone	NOUN
fumecheng-7527	201	2	,	,	PUNCT
fumecheng-7527	201	3	g.	g.	PROPN
fumecheng-7527	201	4	,	,	PUNCT
fumecheng-7527	201	5	bottiglione	bottiglione	PROPN
fumecheng-7527	201	6	,	,	PUNCT
fumecheng-7527	201	7	f.	f.	PROPN
fumecheng-7527	201	8	,	,	PUNCT
fumecheng-7527	201	9	2011	2011	NUM
fumecheng-7527	201	10	,	,	PUNCT
fumecheng-7527	201	11	contact	contact	NOUN
fumecheng-7527	201	12	mechanics	mechanic	NOUN
fumecheng-7527	201	13	of	of	ADP
fumecheng-7527	201	14	rough	rough	ADJ
fumecheng-7527	201	15	surfaces	surface	NOUN
fumecheng-7527	201	16	:	:	PUNCT
fumecheng-7527	201	17	a	a	DET
fumecheng-7527	201	18	comparison	comparison	NOUN
fumecheng-7527	201	19	between	between	ADP
fumecheng-7527	201	20	theories	theory	NOUN
fumecheng-7527	201	21	,	,	PUNCT
fumecheng-7527	201	22	meccanica	meccanica	PROPN
fumecheng-7527	201	23	,	,	PUNCT
fumecheng-7527	201	24	46	46	NUM
fumecheng-7527	201	25	,	,	PUNCT
fumecheng-7527	201	26	pp	pp	ADJ
fumecheng-7527	201	27	.	.	PUNCT
fumecheng-7527	202	1	557	557	NUM
fumecheng-7527	202	2	-	-	SYM
fumecheng-7527	202	3	565	565	NUM
fumecheng-7527	202	4	.	.	PUNCT
fumecheng-7527	203	1	16	16	NUM
fumecheng-7527	203	2	.	.	PUNCT
fumecheng-7527	204	1	jäger	jäger	PROPN
fumecheng-7527	204	2	,	,	PUNCT
fumecheng-7527	204	3	j.	j.	PROPN
fumecheng-7527	204	4	,	,	PUNCT
fumecheng-7527	204	5	1993	1993	NUM
fumecheng-7527	204	6	,	,	PUNCT
fumecheng-7527	204	7	elastic	elastic	ADJ
fumecheng-7527	204	8	contact	contact	NOUN
fumecheng-7527	204	9	of	of	ADP
fumecheng-7527	204	10	equal	equal	ADJ
fumecheng-7527	204	11	spheres	sphere	NOUN
fumecheng-7527	204	12	under	under	ADP
fumecheng-7527	204	13	oblique	oblique	ADJ
fumecheng-7527	204	14	forces	force	NOUN
fumecheng-7527	204	15	,	,	PUNCT
fumecheng-7527	204	16	archive	archive	NOUN
fumecheng-7527	204	17	of	of	ADP
fumecheng-7527	204	18	applied	apply	VERB
fumecheng-7527	204	19	mechanics	mechanic	NOUN
fumecheng-7527	204	20	,	,	PUNCT
fumecheng-7527	204	21	63	63	NUM
fumecheng-7527	204	22	,	,	PUNCT
fumecheng-7527	204	23	pp	pp	ADJ
fumecheng-7527	204	24	.	.	PUNCT
fumecheng-7527	204	25	402	402	NUM
fumecheng-7527	204	26	-	-	SYM
fumecheng-7527	204	27	412	412	NUM
fumecheng-7527	204	28	.	.	PUNCT
fumecheng-7527	204	29	17	17	NUM
fumecheng-7527	204	30	.	.	PUNCT
fumecheng-7527	205	1	popov	popov	PROPN
fumecheng-7527	205	2	,	,	PUNCT
fumecheng-7527	205	3	v.l	v.l	PROPN
fumecheng-7527	205	4	.	.	PROPN
fumecheng-7527	205	5	,	,	PUNCT
fumecheng-7527	205	6	heß	heß	PROPN
fumecheng-7527	205	7	,	,	PUNCT
fumecheng-7527	205	8	m.	m.	NOUN
fumecheng-7527	205	9	,	,	PUNCT
fumecheng-7527	205	10	2015	2015	NUM
fumecheng-7527	205	11	,	,	PUNCT
fumecheng-7527	205	12	method	method	NOUN
fumecheng-7527	205	13	of	of	ADP
fumecheng-7527	205	14	dimensionality	dimensionality	NOUN
fumecheng-7527	205	15	reduction	reduction	NOUN
fumecheng-7527	205	16	in	in	ADP
fumecheng-7527	205	17	contact	contact	NOUN
fumecheng-7527	205	18	mechanics	mechanic	NOUN
fumecheng-7527	205	19	and	and	CCONJ
fumecheng-7527	205	20	friction	friction	NOUN
fumecheng-7527	205	21	,	,	PUNCT
fumecheng-7527	205	22	springer	springer	NOUN
fumecheng-7527	205	23	-	-	PUNCT
fumecheng-7527	205	24	verlag	verlag	PROPN
fumecheng-7527	205	25	,	,	PUNCT
fumecheng-7527	205	26	berlin	berlin	PROPN
fumecheng-7527	205	27	heidelberg	heidelberg	PROPN
fumecheng-7527	205	28	,	,	PUNCT
fumecheng-7527	205	29	265	265	NUM
fumecheng-7527	205	30	p.	p.	NOUN
fumecheng-7527	205	31	18	18	NUM
fumecheng-7527	205	32	.	.	PUNCT
fumecheng-7527	206	1	aleshin	aleshin	PROPN
fumecheng-7527	206	2	,	,	PUNCT
fumecheng-7527	206	3	v.	v.	PROPN
fumecheng-7527	206	4	,	,	PUNCT
fumecheng-7527	206	5	bou	bou	PROPN
fumecheng-7527	206	6	matar	matar	PROPN
fumecheng-7527	206	7	,	,	PUNCT
fumecheng-7527	206	8	o.	o.	PROPN
fumecheng-7527	206	9	,	,	PUNCT
fumecheng-7527	206	10	van	van	PROPN
fumecheng-7527	206	11	den	den	PROPN
fumecheng-7527	206	12	abeele	abeele	PROPN
fumecheng-7527	206	13	,	,	PUNCT
fumecheng-7527	206	14	k.	k.	PROPN
fumecheng-7527	206	15	,	,	PUNCT
fumecheng-7527	206	16	2015	2015	NUM
fumecheng-7527	206	17	,	,	PUNCT
fumecheng-7527	206	18	method	method	NOUN
fumecheng-7527	206	19	of	of	ADP
fumecheng-7527	206	20	memory	memory	NOUN
fumecheng-7527	206	21	diagrams	diagram	NOUN
fumecheng-7527	206	22	for	for	ADP
fumecheng-7527	206	23	mechanical	mechanical	ADJ
fumecheng-7527	206	24	frictional	frictional	ADJ
fumecheng-7527	206	25	contacts	contact	NOUN
fumecheng-7527	206	26	subject	subject	ADJ
fumecheng-7527	206	27	to	to	ADP
fumecheng-7527	206	28	arbitrary	arbitrary	ADJ
fumecheng-7527	206	29	2d	2d	NUM
fumecheng-7527	206	30	loading	loading	NOUN
fumecheng-7527	206	31	,	,	PUNCT
fumecheng-7527	206	32	international	international	ADJ
fumecheng-7527	206	33	journal	journal	NOUN
fumecheng-7527	206	34	of	of	ADP
fumecheng-7527	206	35	solids	solid	NOUN
fumecheng-7527	206	36	and	and	CCONJ
fumecheng-7527	206	37	structures	structure	NOUN
fumecheng-7527	206	38	,	,	PUNCT
fumecheng-7527	206	39	60	60	NUM
fumecheng-7527	206	40	-	-	SYM
fumecheng-7527	206	41	61	61	NUM
fumecheng-7527	206	42	,	,	PUNCT
fumecheng-7527	206	43	pp	pp	ADJ
fumecheng-7527	206	44	.	.	PUNCT
fumecheng-7527	207	1	84	84	NUM
fumecheng-7527	207	2	-	-	SYM
fumecheng-7527	207	3	95	95	NUM
fumecheng-7527	207	4	.	.	PUNCT