id	sid	tid	token	lemma	pos
fumecheng-1634	1	1	plane	plane	NOUN
fumecheng-1634	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-1634	1	3	waves	wave	NOUN
fumecheng-1634	1	4	in	in	ADP
fumecheng-1634	1	5	infinite	infinite	ADJ
fumecheng-1634	1	6	half	half	ADJ
fumecheng-1634	1	7	-	-	PUNCT
fumecheng-1634	1	8	space	space	NOUN
fumecheng-1634	1	9	caused	cause	VERB
fumecheng-1634	1	10	facta	facta	PROPN
fumecheng-1634	1	11	universitatis	universitatis	PROPN
fumecheng-1634	1	12	series	series	NOUN
fumecheng-1634	1	13	:	:	PUNCT
fumecheng-1634	1	14	mechanical	mechanical	ADJ
fumecheng-1634	1	15	engineering	engineering	NOUN
fumecheng-1634	1	16	vol	vol	NOUN
fumecheng-1634	1	17	.	.	PUNCT
fumecheng-1634	2	1	14	14	NUM
fumecheng-1634	2	2	,	,	PUNCT
fumecheng-1634	2	3	no	no	DET
fumecheng-1634	2	4	2	2	NUM
fumecheng-1634	2	5	,	,	PUNCT
fumecheng-1634	2	6	2016	2016	NUM
fumecheng-1634	2	7	,	,	PUNCT
fumecheng-1634	2	8	pp	pp	ADJ
fumecheng-1634	2	9	.	.	PUNCT
fumecheng-1634	3	1	159	159	NUM
fumecheng-1634	3	2	168	168	NUM
fumecheng-1634	3	3	original	original	ADJ
fumecheng-1634	3	4	scientific	scientific	ADJ
fumecheng-1634	3	5	paper	paper	NOUN
fumecheng-1634	3	6	1reduction	1reduction	NUM
fumecheng-1634	3	7	of	of	ADP
fumecheng-1634	3	8	residual	residual	ADJ
fumecheng-1634	3	9	shear	shear	NOUN
fumecheng-1634	3	10	stress	stress	NOUN
fumecheng-1634	3	11	in	in	ADP
fumecheng-1634	3	12	the	the	DET
fumecheng-1634	3	13	loaded	load	VERB
fumecheng-1634	3	14	contact	contact	NOUN
fumecheng-1634	3	15	using	use	VERB
fumecheng-1634	3	16	friction	friction	NOUN
fumecheng-1634	3	17	hysteresis	hysteresis	NOUN
fumecheng-1634	3	18	udc	udc	NOUN
fumecheng-1634	3	19	531.4	531.4	NUM
fumecheng-1634	3	20	adrian	adrian	PROPN
fumecheng-1634	3	21	kraft	kraft	NOUN
fumecheng-1634	3	22	,	,	PUNCT
fumecheng-1634	3	23	roman	roman	PROPN
fumecheng-1634	3	24	pohrt	pohrt	PROPN
fumecheng-1634	3	25	berlin	berlin	PROPN
fumecheng-1634	3	26	institute	institute	PROPN
fumecheng-1634	3	27	of	of	ADP
fumecheng-1634	3	28	technology	technology	PROPN
fumecheng-1634	3	29	,	,	PUNCT
fumecheng-1634	3	30	germany	germany	PROPN
fumecheng-1634	3	31	abstract	abstract	NOUN
fumecheng-1634	3	32	.	.	PUNCT
fumecheng-1634	4	1	we	we	PRON
fumecheng-1634	4	2	investigate	investigate	VERB
fumecheng-1634	4	3	the	the	DET
fumecheng-1634	4	4	tangential	tangential	ADJ
fumecheng-1634	4	5	contact	contact	NOUN
fumecheng-1634	4	6	problem	problem	NOUN
fumecheng-1634	4	7	of	of	ADP
fumecheng-1634	4	8	a	a	DET
fumecheng-1634	4	9	spherical	spherical	ADJ
fumecheng-1634	4	10	indenter	indenter	NOUN
fumecheng-1634	4	11	at	at	ADP
fumecheng-1634	4	12	constant	constant	ADJ
fumecheng-1634	4	13	normal	normal	ADJ
fumecheng-1634	4	14	force	force	NOUN
fumecheng-1634	4	15	.	.	PUNCT
fumecheng-1634	5	1	when	when	SCONJ
fumecheng-1634	5	2	the	the	DET
fumecheng-1634	5	3	indenter	indenter	NOUN
fumecheng-1634	5	4	is	be	AUX
fumecheng-1634	5	5	subjected	subject	VERB
fumecheng-1634	5	6	to	to	ADP
fumecheng-1634	5	7	tangential	tangential	ADJ
fumecheng-1634	5	8	movement	movement	NOUN
fumecheng-1634	5	9	,	,	PUNCT
fumecheng-1634	5	10	frictional	frictional	ADJ
fumecheng-1634	5	11	shear	shear	NOUN
fumecheng-1634	5	12	stresses	stress	NOUN
fumecheng-1634	5	13	arise	arise	VERB
fumecheng-1634	5	14	at	at	ADP
fumecheng-1634	5	15	the	the	DET
fumecheng-1634	5	16	interface	interface	NOUN
fumecheng-1634	5	17	and	and	CCONJ
fumecheng-1634	5	18	do	do	AUX
fumecheng-1634	5	19	not	not	PART
fumecheng-1634	5	20	vanish	vanish	VERB
fumecheng-1634	5	21	when	when	SCONJ
fumecheng-1634	5	22	it	it	PRON
fumecheng-1634	5	23	is	be	AUX
fumecheng-1634	5	24	moved	move	VERB
fumecheng-1634	5	25	backwards	backwards	ADV
fumecheng-1634	5	26	.	.	PUNCT
fumecheng-1634	6	1	we	we	PRON
fumecheng-1634	6	2	study	study	VERB
fumecheng-1634	6	3	the	the	DET
fumecheng-1634	6	4	evolution	evolution	NOUN
fumecheng-1634	6	5	of	of	ADP
fumecheng-1634	6	6	shear	shear	NOUN
fumecheng-1634	6	7	stress	stress	NOUN
fumecheng-1634	6	8	when	when	SCONJ
fumecheng-1634	6	9	the	the	DET
fumecheng-1634	6	10	indenter	indenter	NOUN
fumecheng-1634	6	11	is	be	AUX
fumecheng-1634	6	12	moved	move	VERB
fumecheng-1634	6	13	back	back	ADV
fumecheng-1634	6	14	and	and	CCONJ
fumecheng-1634	6	15	forth	forth	ADV
fumecheng-1634	6	16	at	at	ADP
fumecheng-1634	6	17	falling	fall	VERB
fumecheng-1634	6	18	amplitude	amplitude	NOUN
fumecheng-1634	6	19	.	.	PUNCT
fumecheng-1634	7	1	the	the	DET
fumecheng-1634	7	2	method	method	NOUN
fumecheng-1634	7	3	of	of	ADP
fumecheng-1634	7	4	dimensionality	dimensionality	NOUN
fumecheng-1634	7	5	reduction	reduction	NOUN
fumecheng-1634	7	6	(	(	PUNCT
fumecheng-1634	7	7	mdr	mdr	NOUN
fumecheng-1634	7	8	)	)	PUNCT
fumecheng-1634	7	9	is	be	AUX
fumecheng-1634	7	10	employed	employ	VERB
fumecheng-1634	7	11	for	for	ADP
fumecheng-1634	7	12	obtaining	obtain	VERB
fumecheng-1634	7	13	the	the	DET
fumecheng-1634	7	14	distribution	distribution	NOUN
fumecheng-1634	7	15	of	of	ADP
fumecheng-1634	7	16	stick	stick	NOUN
fumecheng-1634	7	17	and	and	CCONJ
fumecheng-1634	7	18	slip	slip	VERB
fumecheng-1634	7	19	zones	zone	NOUN
fumecheng-1634	7	20	as	as	ADV
fumecheng-1634	7	21	well	well	ADV
fumecheng-1634	7	22	as	as	ADP
fumecheng-1634	7	23	external	external	ADJ
fumecheng-1634	7	24	forces	force	NOUN
fumecheng-1634	7	25	and	and	CCONJ
fumecheng-1634	7	26	the	the	DET
fumecheng-1634	7	27	final	final	ADJ
fumecheng-1634	7	28	stress	stress	NOUN
fumecheng-1634	7	29	distribution	distribution	NOUN
fumecheng-1634	7	30	.	.	PUNCT
fumecheng-1634	8	1	we	we	PRON
fumecheng-1634	8	2	find	find	VERB
fumecheng-1634	8	3	that	that	SCONJ
fumecheng-1634	8	4	the	the	DET
fumecheng-1634	8	5	shear	shear	NOUN
fumecheng-1634	8	6	stress	stress	NOUN
fumecheng-1634	8	7	decreases	decrease	VERB
fumecheng-1634	8	8	.	.	PUNCT
fumecheng-1634	9	1	for	for	ADP
fumecheng-1634	9	2	the	the	DET
fumecheng-1634	9	3	special	special	ADJ
fumecheng-1634	9	4	case	case	NOUN
fumecheng-1634	9	5	of	of	ADP
fumecheng-1634	9	6	linearly	linearly	ADV
fumecheng-1634	9	7	falling	fall	VERB
fumecheng-1634	9	8	amplitude	amplitude	NOUN
fumecheng-1634	9	9	of	of	ADP
fumecheng-1634	9	10	the	the	DET
fumecheng-1634	9	11	movement	movement	NOUN
fumecheng-1634	9	12	,	,	PUNCT
fumecheng-1634	9	13	we	we	PRON
fumecheng-1634	9	14	observe	observe	VERB
fumecheng-1634	9	15	uniform	uniform	ADJ
fumecheng-1634	9	16	peaks	peak	NOUN
fumecheng-1634	9	17	in	in	ADP
fumecheng-1634	9	18	the	the	DET
fumecheng-1634	9	19	shear	shear	NOUN
fumecheng-1634	9	20	stress	stress	NOUN
fumecheng-1634	9	21	.	.	PUNCT
fumecheng-1634	10	1	the	the	DET
fumecheng-1634	10	2	absolute	absolute	ADJ
fumecheng-1634	10	3	value	value	NOUN
fumecheng-1634	10	4	of	of	ADP
fumecheng-1634	10	5	the	the	DET
fumecheng-1634	10	6	shear	shear	NOUN
fumecheng-1634	10	7	stress	stress	NOUN
fumecheng-1634	10	8	peaks	peak	NOUN
fumecheng-1634	10	9	is	be	AUX
fumecheng-1634	10	10	reduced	reduce	VERB
fumecheng-1634	10	11	best	good	ADJ
fumecheng-1634	10	12	for	for	ADP
fumecheng-1634	10	13	a	a	DET
fumecheng-1634	10	14	high	high	ADJ
fumecheng-1634	10	15	number	number	NOUN
fumecheng-1634	10	16	of	of	ADP
fumecheng-1634	10	17	back	back	NOUN
fumecheng-1634	10	18	-	-	PUNCT
fumecheng-1634	10	19	andforth	andforth	NOUN
fumecheng-1634	10	20	-	-	PUNCT
fumecheng-1634	10	21	movements	movement	NOUN
fumecheng-1634	10	22	with	with	ADP
fumecheng-1634	10	23	slowly	slowly	ADV
fumecheng-1634	10	24	decreasing	decrease	VERB
fumecheng-1634	10	25	amplitude	amplitude	NOUN
fumecheng-1634	10	26	.	.	PUNCT
fumecheng-1634	11	1	key	key	ADJ
fumecheng-1634	11	2	words	word	NOUN
fumecheng-1634	11	3	:	:	PUNCT
fumecheng-1634	11	4	coulomb	coulomb	NOUN
fumecheng-1634	11	5	friction	friction	NOUN
fumecheng-1634	11	6	,	,	PUNCT
fumecheng-1634	11	7	residual	residual	ADJ
fumecheng-1634	11	8	stress	stress	NOUN
fumecheng-1634	11	9	,	,	PUNCT
fumecheng-1634	11	10	contact	contact	NOUN
fumecheng-1634	11	11	mechanics	mechanic	NOUN
fumecheng-1634	11	12	,	,	PUNCT
fumecheng-1634	11	13	stick	stick	NOUN
fumecheng-1634	11	14	,	,	PUNCT
fumecheng-1634	11	15	slip	slip	VERB
fumecheng-1634	11	16	1	1	NUM
fumecheng-1634	11	17	.	.	PUNCT
fumecheng-1634	11	18	introduction	introduction	NOUN
fumecheng-1634	11	19	loaded	load	VERB
fumecheng-1634	11	20	contacts	contact	NOUN
fumecheng-1634	11	21	exist	exist	VERB
fumecheng-1634	11	22	in	in	ADP
fumecheng-1634	11	23	a	a	DET
fumecheng-1634	11	24	broad	broad	ADJ
fumecheng-1634	11	25	variety	variety	NOUN
fumecheng-1634	11	26	of	of	ADP
fumecheng-1634	11	27	technical	technical	ADJ
fumecheng-1634	11	28	and	and	CCONJ
fumecheng-1634	11	29	natural	natural	ADJ
fumecheng-1634	11	30	situations	situation	NOUN
fumecheng-1634	11	31	.	.	PUNCT
fumecheng-1634	12	1	a	a	DET
fumecheng-1634	12	2	basic	basic	ADJ
fumecheng-1634	12	3	frictional	frictional	ADJ
fumecheng-1634	12	4	couple	couple	NOUN
fumecheng-1634	12	5	consists	consist	VERB
fumecheng-1634	12	6	of	of	ADP
fumecheng-1634	12	7	two	two	NUM
fumecheng-1634	12	8	deformable	deformable	ADJ
fumecheng-1634	12	9	bodies	body	NOUN
fumecheng-1634	12	10	,	,	PUNCT
fumecheng-1634	12	11	which	which	PRON
fumecheng-1634	12	12	are	be	AUX
fumecheng-1634	12	13	pressed	press	VERB
fumecheng-1634	12	14	together	together	ADV
fumecheng-1634	12	15	and	and	CCONJ
fumecheng-1634	12	16	subjected	subject	VERB
fumecheng-1634	12	17	to	to	ADP
fumecheng-1634	12	18	an	an	DET
fumecheng-1634	12	19	additional	additional	ADJ
fumecheng-1634	12	20	tangential	tangential	ADJ
fumecheng-1634	12	21	loading	loading	NOUN
fumecheng-1634	12	22	.	.	PUNCT
fumecheng-1634	13	1	when	when	SCONJ
fumecheng-1634	13	2	the	the	DET
fumecheng-1634	13	3	tangential	tangential	ADJ
fumecheng-1634	13	4	load	load	NOUN
fumecheng-1634	13	5	is	be	AUX
fumecheng-1634	13	6	below	below	ADP
fumecheng-1634	13	7	the	the	DET
fumecheng-1634	13	8	threshold	threshold	NOUN
fumecheng-1634	13	9	of	of	ADP
fumecheng-1634	13	10	gross	gross	ADJ
fumecheng-1634	13	11	sliding	sliding	NOUN
fumecheng-1634	13	12	,	,	PUNCT
fumecheng-1634	13	13	some	some	DET
fumecheng-1634	13	14	micro	micro	NOUN
fumecheng-1634	13	15	-	-	NOUN
fumecheng-1634	13	16	slip	slip	NOUN
fumecheng-1634	13	17	occurs	occur	VERB
fumecheng-1634	13	18	nevertheless	nevertheless	ADV
fumecheng-1634	13	19	.	.	PUNCT
fumecheng-1634	14	1	in	in	ADP
fumecheng-1634	14	2	technical	technical	ADJ
fumecheng-1634	14	3	contact	contact	NOUN
fumecheng-1634	14	4	that	that	PRON
fumecheng-1634	14	5	experience	experience	VERB
fumecheng-1634	14	6	cyclic	cyclic	ADJ
fumecheng-1634	14	7	loading	loading	NOUN
fumecheng-1634	14	8	,	,	PUNCT
fumecheng-1634	14	9	the	the	DET
fumecheng-1634	14	10	relative	relative	ADJ
fumecheng-1634	14	11	movement	movement	NOUN
fumecheng-1634	14	12	of	of	ADP
fumecheng-1634	14	13	the	the	DET
fumecheng-1634	14	14	bodies	body	NOUN
fumecheng-1634	14	15	is	be	AUX
fumecheng-1634	14	16	often	often	ADV
fumecheng-1634	14	17	invisible	invisible	ADJ
fumecheng-1634	14	18	to	to	ADP
fumecheng-1634	14	19	the	the	DET
fumecheng-1634	14	20	naked	naked	ADJ
fumecheng-1634	14	21	eye	eye	NOUN
fumecheng-1634	14	22	.	.	PUNCT
fumecheng-1634	15	1	however	however	ADV
fumecheng-1634	15	2	,	,	PUNCT
fumecheng-1634	15	3	the	the	DET
fumecheng-1634	15	4	friction	friction	NOUN
fumecheng-1634	15	5	involved	involve	VERB
fumecheng-1634	15	6	can	can	AUX
fumecheng-1634	15	7	cause	cause	VERB
fumecheng-1634	15	8	effects	effect	NOUN
fumecheng-1634	15	9	such	such	ADJ
fumecheng-1634	15	10	as	as	ADP
fumecheng-1634	15	11	damping	damp	VERB
fumecheng-1634	15	12	[	[	X
fumecheng-1634	15	13	3	3	NUM
fumecheng-1634	15	14	,	,	PUNCT
fumecheng-1634	15	15	4	4	NUM
fumecheng-1634	15	16	]	]	PUNCT
fumecheng-1634	15	17	and	and	CCONJ
fumecheng-1634	15	18	fretting	fret	VERB
fumecheng-1634	15	19	wear	wear	NOUN
fumecheng-1634	15	20	[	[	X
fumecheng-1634	15	21	8	8	NUM
fumecheng-1634	15	22	]	]	PUNCT
fumecheng-1634	15	23	.	.	PUNCT
fumecheng-1634	16	1	the	the	DET
fumecheng-1634	16	2	same	same	ADJ
fumecheng-1634	16	3	applies	apply	VERB
fumecheng-1634	16	4	in	in	ADP
fumecheng-1634	16	5	a	a	DET
fumecheng-1634	16	6	slightly	slightly	ADV
fumecheng-1634	16	7	more	more	ADV
fumecheng-1634	16	8	complicated	complicated	ADJ
fumecheng-1634	16	9	fashion	fashion	NOUN
fumecheng-1634	16	10	for	for	ADP
fumecheng-1634	16	11	biaxial	biaxial	ADJ
fumecheng-1634	16	12	loading	loading	NOUN
fumecheng-1634	16	13	[	[	X
fumecheng-1634	16	14	5	5	NUM
fumecheng-1634	16	15	]	]	PUNCT
fumecheng-1634	16	16	.	.	PUNCT
fumecheng-1634	17	1	consider	consider	VERB
fumecheng-1634	17	2	a	a	DET
fumecheng-1634	17	3	contact	contact	NOUN
fumecheng-1634	17	4	where	where	SCONJ
fumecheng-1634	17	5	the	the	DET
fumecheng-1634	17	6	normal	normal	ADJ
fumecheng-1634	17	7	load	load	NOUN
fumecheng-1634	17	8	is	be	AUX
fumecheng-1634	17	9	held	hold	VERB
fumecheng-1634	17	10	constant	constant	ADJ
fumecheng-1634	17	11	,	,	PUNCT
fumecheng-1634	17	12	so	so	SCONJ
fumecheng-1634	17	13	that	that	SCONJ
fumecheng-1634	17	14	the	the	DET
fumecheng-1634	17	15	bodies	body	NOUN
fumecheng-1634	17	16	can	can	AUX
fumecheng-1634	17	17	not	not	PART
fumecheng-1634	17	18	separate	separate	VERB
fumecheng-1634	17	19	.	.	PUNCT
fumecheng-1634	18	1	initially	initially	ADV
fumecheng-1634	18	2	,	,	PUNCT
fumecheng-1634	18	3	the	the	DET
fumecheng-1634	18	4	pure	pure	ADJ
fumecheng-1634	18	5	normal	normal	ADJ
fumecheng-1634	18	6	loading	loading	NOUN
fumecheng-1634	18	7	can	can	AUX
fumecheng-1634	18	8	take	take	VERB
fumecheng-1634	18	9	place	place	NOUN
fumecheng-1634	18	10	without	without	ADP
fumecheng-1634	18	11	inducing	induce	VERB
fumecheng-1634	18	12	shear	shear	NOUN
fumecheng-1634	18	13	stress	stress	NOUN
fumecheng-1634	18	14	in	in	ADP
fumecheng-1634	18	15	received	receive	VERB
fumecheng-1634	18	16	february	february	PROPN
fumecheng-1634	18	17	24	24	NUM
fumecheng-1634	18	18	,	,	PUNCT
fumecheng-1634	18	19	2016	2016	NUM
fumecheng-1634	18	20	/	/	SYM
fumecheng-1634	18	21	accepted	accept	VERB
fumecheng-1634	18	22	july	july	PROPN
fumecheng-1634	18	23	10	10	NUM
fumecheng-1634	18	24	,	,	PUNCT
fumecheng-1634	18	25	2016	2016	NUM
fumecheng-1634	18	26	corresponding	correspond	VERB
fumecheng-1634	18	27	author	author	NOUN
fumecheng-1634	18	28	:	:	PUNCT
fumecheng-1634	18	29	roman	roman	PROPN
fumecheng-1634	18	30	pohrt	pohrt	PROPN
fumecheng-1634	18	31	technische	technische	PROPN
fumecheng-1634	18	32	universität	universität	PROPN
fumecheng-1634	18	33	berlin	berlin	PROPN
fumecheng-1634	18	34	,	,	PUNCT
fumecheng-1634	18	35	straße	straße	PROPN
fumecheng-1634	18	36	des	des	PROPN
fumecheng-1634	18	37	17	17	NUM
fumecheng-1634	18	38	.	.	PUNCT
fumecheng-1634	19	1	juni	juni	PROPN
fumecheng-1634	19	2	135	135	NUM
fumecheng-1634	19	3	,	,	PUNCT
fumecheng-1634	19	4	10623	10623	NUM
fumecheng-1634	19	5	berlin	berlin	PROPN
fumecheng-1634	19	6	,	,	PUNCT
fumecheng-1634	19	7	germany	germany	PROPN
fumecheng-1634	19	8	e	e	PROPN
fumecheng-1634	19	9	-	-	NOUN
fumecheng-1634	19	10	mail	mail	NOUN
fumecheng-1634	19	11	:	:	PUNCT
fumecheng-1634	19	12	roman.pohrt@tu-berlin.de	roman.pohrt@tu-berlin.de	PROPN
fumecheng-1634	19	13	160	160	NUM
fumecheng-1634	19	14	a.	a.	NOUN
fumecheng-1634	19	15	kraft	kraft	NOUN
fumecheng-1634	19	16	,	,	PUNCT
fumecheng-1634	19	17	r.	r.	PROPN
fumecheng-1634	19	18	pohrt	pohrt	VERB
fumecheng-1634	19	19	the	the	DET
fumecheng-1634	19	20	contact	contact	NOUN
fumecheng-1634	19	21	interface	interface	NOUN
fumecheng-1634	19	22	.	.	PUNCT
fumecheng-1634	20	1	however	however	ADV
fumecheng-1634	20	2	,	,	PUNCT
fumecheng-1634	20	3	when	when	SCONJ
fumecheng-1634	20	4	some	some	DET
fumecheng-1634	20	5	tangential	tangential	ADJ
fumecheng-1634	20	6	load	load	NOUN
fumecheng-1634	20	7	is	be	AUX
fumecheng-1634	20	8	applied	apply	VERB
fumecheng-1634	20	9	,	,	PUNCT
fumecheng-1634	20	10	shear	shear	ADJ
fumecheng-1634	20	11	stress	stress	NOUN
fumecheng-1634	20	12	arises	arise	VERB
fumecheng-1634	20	13	.	.	PUNCT
fumecheng-1634	21	1	upon	upon	SCONJ
fumecheng-1634	21	2	unloading	unloading	NOUN
fumecheng-1634	21	3	,	,	PUNCT
fumecheng-1634	21	4	the	the	DET
fumecheng-1634	21	5	stress	stress	NOUN
fumecheng-1634	21	6	does	do	AUX
fumecheng-1634	21	7	not	not	PART
fumecheng-1634	21	8	simply	simply	ADV
fumecheng-1634	21	9	vanish	vanish	VERB
fumecheng-1634	21	10	due	due	ADP
fumecheng-1634	21	11	to	to	ADP
fumecheng-1634	21	12	the	the	DET
fumecheng-1634	21	13	dual	dual	ADJ
fumecheng-1634	21	14	nature	nature	NOUN
fumecheng-1634	21	15	of	of	ADP
fumecheng-1634	21	16	the	the	DET
fumecheng-1634	21	17	contact	contact	NOUN
fumecheng-1634	21	18	(	(	PUNCT
fumecheng-1634	21	19	stick	stick	NOUN
fumecheng-1634	21	20	zones	zone	NOUN
fumecheng-1634	21	21	vs.	vs.	ADP
fumecheng-1634	21	22	slip	slip	NOUN
fumecheng-1634	21	23	zones	zone	NOUN
fumecheng-1634	21	24	)	)	PUNCT
fumecheng-1634	21	25	.	.	PUNCT
fumecheng-1634	22	1	tangential	tangential	ADJ
fumecheng-1634	22	2	force	force	NOUN
fumecheng-1634	22	3	and	and	CCONJ
fumecheng-1634	22	4	resulting	result	VERB
fumecheng-1634	22	5	tangential	tangential	ADJ
fumecheng-1634	22	6	displacement	displacement	NOUN
fumecheng-1634	22	7	together	together	ADV
fumecheng-1634	22	8	form	form	VERB
fumecheng-1634	22	9	a	a	DET
fumecheng-1634	22	10	system	system	NOUN
fumecheng-1634	22	11	with	with	ADP
fumecheng-1634	22	12	hysteresis	hysteresis	NOUN
fumecheng-1634	22	13	,	,	PUNCT
fumecheng-1634	22	14	which	which	PRON
fumecheng-1634	22	15	can	can	AUX
fumecheng-1634	22	16	be	be	AUX
fumecheng-1634	22	17	described	describe	VERB
fumecheng-1634	22	18	with	with	ADP
fumecheng-1634	22	19	a	a	DET
fumecheng-1634	22	20	preisach	preisach	NOUN
fumecheng-1634	22	21	formalism	formalism	NOUN
fumecheng-1634	22	22	[	[	X
fumecheng-1634	22	23	10	10	NUM
fumecheng-1634	22	24	]	]	PUNCT
fumecheng-1634	22	25	.	.	PUNCT
fumecheng-1634	23	1	in	in	ADP
fumecheng-1634	23	2	1928	1928	NUM
fumecheng-1634	23	3	,	,	PUNCT
fumecheng-1634	23	4	prandtl	prandtl	NOUN
fumecheng-1634	23	5	developed	develop	VERB
fumecheng-1634	23	6	a	a	DET
fumecheng-1634	23	7	model	model	NOUN
fumecheng-1634	23	8	for	for	ADP
fumecheng-1634	23	9	microtribology	microtribology	NOUN
fumecheng-1634	23	10	out	out	ADP
fumecheng-1634	23	11	of	of	ADP
fumecheng-1634	23	12	many	many	ADJ
fumecheng-1634	23	13	micro	micro	NOUN
fumecheng-1634	23	14	-	-	NOUN
fumecheng-1634	23	15	sliders	slider	NOUN
fumecheng-1634	23	16	,	,	PUNCT
fumecheng-1634	23	17	which	which	PRON
fumecheng-1634	23	18	also	also	ADV
fumecheng-1634	23	19	included	include	VERB
fumecheng-1634	23	20	hysteresis	hysteresis	NOUN
fumecheng-1634	23	21	[	[	X
fumecheng-1634	23	22	12	12	NUM
fumecheng-1634	23	23	]	]	PUNCT
fumecheng-1634	23	24	(	(	PUNCT
fumecheng-1634	23	25	see	see	VERB
fumecheng-1634	23	26	[	[	X
fumecheng-1634	23	27	11	11	NUM
fumecheng-1634	23	28	]	]	PUNCT
fumecheng-1634	23	29	for	for	ADP
fumecheng-1634	23	30	english	english	ADJ
fumecheng-1634	23	31	translation	translation	NOUN
fumecheng-1634	23	32	of	of	ADP
fumecheng-1634	23	33	the	the	DET
fumecheng-1634	23	34	original	original	ADJ
fumecheng-1634	23	35	paper	paper	NOUN
fumecheng-1634	23	36	)	)	PUNCT
fumecheng-1634	23	37	.	.	PUNCT
fumecheng-1634	24	1	in	in	ADP
fumecheng-1634	24	2	his	his	PRON
fumecheng-1634	24	3	model	model	NOUN
fumecheng-1634	24	4	,	,	PUNCT
fumecheng-1634	24	5	the	the	DET
fumecheng-1634	24	6	exact	exact	ADJ
fumecheng-1634	24	7	state	state	NOUN
fumecheng-1634	24	8	of	of	ADP
fumecheng-1634	24	9	the	the	DET
fumecheng-1634	24	10	system	system	NOUN
fumecheng-1634	24	11	at	at	ADP
fumecheng-1634	24	12	any	any	DET
fumecheng-1634	24	13	moment	moment	NOUN
fumecheng-1634	24	14	of	of	ADP
fumecheng-1634	24	15	time	time	NOUN
fumecheng-1634	24	16	depends	depend	VERB
fumecheng-1634	24	17	on	on	ADP
fumecheng-1634	24	18	its	its	PRON
fumecheng-1634	24	19	prehistory	prehistory	NOUN
fumecheng-1634	24	20	and	and	CCONJ
fumecheng-1634	24	21	can	can	AUX
fumecheng-1634	24	22	be	be	AUX
fumecheng-1634	24	23	very	very	ADV
fumecheng-1634	24	24	complicated	complicated	ADJ
fumecheng-1634	24	25	.	.	PUNCT
fumecheng-1634	25	1	prandtl	prandtl	NOUN
fumecheng-1634	25	2	poses	pose	VERB
fumecheng-1634	25	3	the	the	DET
fumecheng-1634	25	4	question	question	NOUN
fumecheng-1634	25	5	of	of	ADP
fumecheng-1634	25	6	whether	whether	SCONJ
fumecheng-1634	25	7	it	it	PRON
fumecheng-1634	25	8	is	be	AUX
fumecheng-1634	25	9	possible	possible	ADJ
fumecheng-1634	25	10	to	to	PART
fumecheng-1634	25	11	restore	restore	VERB
fumecheng-1634	25	12	the	the	DET
fumecheng-1634	25	13	virgin	virgin	ADJ
fumecheng-1634	25	14	state	state	NOUN
fumecheng-1634	25	15	.	.	PUNCT
fumecheng-1634	26	1	with	with	ADP
fumecheng-1634	26	2	very	very	ADV
fumecheng-1634	26	3	simple	simple	ADJ
fumecheng-1634	26	4	arguments	argument	NOUN
fumecheng-1634	26	5	,	,	PUNCT
fumecheng-1634	26	6	he	he	PRON
fumecheng-1634	26	7	shows	show	VERB
fumecheng-1634	26	8	that	that	SCONJ
fumecheng-1634	26	9	if	if	SCONJ
fumecheng-1634	26	10	the	the	DET
fumecheng-1634	26	11	contact	contact	NOUN
fumecheng-1634	26	12	partners	partner	NOUN
fumecheng-1634	26	13	start	start	VERB
fumecheng-1634	26	14	to	to	PART
fumecheng-1634	26	15	oscillate	oscillate	VERB
fumecheng-1634	26	16	with	with	ADP
fumecheng-1634	26	17	large	large	ADJ
fumecheng-1634	26	18	amplitude	amplitude	NOUN
fumecheng-1634	26	19	and	and	CCONJ
fumecheng-1634	26	20	the	the	DET
fumecheng-1634	26	21	amplitude	amplitude	NOUN
fumecheng-1634	26	22	then	then	ADV
fumecheng-1634	26	23	decreases	decrease	VERB
fumecheng-1634	26	24	slowly	slowly	ADV
fumecheng-1634	26	25	,	,	PUNCT
fumecheng-1634	26	26	then	then	ADV
fumecheng-1634	26	27	each	each	DET
fumecheng-1634	26	28	slider	slider	NOUN
fumecheng-1634	26	29	finally	finally	ADV
fumecheng-1634	26	30	comes	come	VERB
fumecheng-1634	26	31	to	to	ADP
fumecheng-1634	26	32	a	a	DET
fumecheng-1634	26	33	neutral	neutral	ADJ
fumecheng-1634	26	34	,	,	PUNCT
fumecheng-1634	26	35	non	non	ADJ
fumecheng-1634	26	36	-	-	ADJ
fumecheng-1634	26	37	stressed	stressed	ADJ
fumecheng-1634	26	38	position	position	NOUN
fumecheng-1634	26	39	and	and	CCONJ
fumecheng-1634	26	40	the	the	DET
fumecheng-1634	26	41	system	system	NOUN
fumecheng-1634	26	42	returns	return	VERB
fumecheng-1634	26	43	to	to	ADP
fumecheng-1634	26	44	the	the	DET
fumecheng-1634	26	45	virgin	virgin	PROPN
fumecheng-1634	26	46	state	state	NOUN
fumecheng-1634	26	47	.	.	PUNCT
fumecheng-1634	27	1	he	he	PRON
fumecheng-1634	27	2	compares	compare	VERB
fumecheng-1634	27	3	this	this	DET
fumecheng-1634	27	4	result	result	NOUN
fumecheng-1634	27	5	with	with	ADP
fumecheng-1634	27	6	demagnetization	demagnetization	NOUN
fumecheng-1634	27	7	through	through	ADP
fumecheng-1634	27	8	slowly	slowly	ADV
fumecheng-1634	27	9	decreasing	decrease	VERB
fumecheng-1634	27	10	oscillating	oscillate	VERB
fumecheng-1634	27	11	magnetic	magnetic	ADJ
fumecheng-1634	27	12	fields	field	NOUN
fumecheng-1634	27	13	,	,	PUNCT
fumecheng-1634	27	14	first	first	ADV
fumecheng-1634	27	15	studied	study	VERB
fumecheng-1634	27	16	by	by	ADP
fumecheng-1634	27	17	e.	e.	PROPN
fumecheng-1634	27	18	madelung	madelung	PROPN
fumecheng-1634	28	1	[	[	X
fumecheng-1634	28	2	6	6	NUM
fumecheng-1634	28	3	]	]	PUNCT
fumecheng-1634	28	4	.	.	PUNCT
fumecheng-1634	29	1	in	in	ADP
fumecheng-1634	29	2	this	this	DET
fumecheng-1634	29	3	paper	paper	NOUN
fumecheng-1634	29	4	,	,	PUNCT
fumecheng-1634	29	5	we	we	PRON
fumecheng-1634	29	6	will	will	AUX
fumecheng-1634	29	7	apply	apply	VERB
fumecheng-1634	29	8	this	this	DET
fumecheng-1634	29	9	idea	idea	NOUN
fumecheng-1634	29	10	to	to	ADP
fumecheng-1634	29	11	the	the	DET
fumecheng-1634	29	12	loaded	load	VERB
fumecheng-1634	29	13	contact	contact	NOUN
fumecheng-1634	29	14	with	with	ADP
fumecheng-1634	29	15	partial	partial	ADJ
fumecheng-1634	29	16	sliding	sliding	NOUN
fumecheng-1634	29	17	.	.	PUNCT
fumecheng-1634	30	1	assume	assume	VERB
fumecheng-1634	30	2	a	a	DET
fumecheng-1634	30	3	typical	typical	ADJ
fumecheng-1634	30	4	hertzian	hertzian	ADJ
fumecheng-1634	30	5	contact	contact	NOUN
fumecheng-1634	30	6	.	.	PUNCT
fumecheng-1634	31	1	a	a	DET
fumecheng-1634	31	2	spherical	spherical	ADJ
fumecheng-1634	31	3	indenter	indenter	NOUN
fumecheng-1634	31	4	with	with	ADP
fumecheng-1634	31	5	radius	radius	NOUN
fumecheng-1634	31	6	r	r	NOUN
fumecheng-1634	31	7	is	be	AUX
fumecheng-1634	31	8	pressed	press	VERB
fumecheng-1634	31	9	into	into	ADP
fumecheng-1634	31	10	a	a	DET
fumecheng-1634	31	11	plane	plane	NOUN
fumecheng-1634	31	12	.	.	PUNCT
fumecheng-1634	32	1	the	the	DET
fumecheng-1634	32	2	sphere	sphere	NOUN
fumecheng-1634	32	3	is	be	AUX
fumecheng-1634	32	4	approximated	approximate	VERB
fumecheng-1634	32	5	by	by	ADP
fumecheng-1634	32	6	a	a	DET
fumecheng-1634	32	7	parabola	parabola	NOUN
fumecheng-1634	32	8	and	and	CCONJ
fumecheng-1634	32	9	we	we	PRON
fumecheng-1634	32	10	assume	assume	VERB
fumecheng-1634	32	11	that	that	SCONJ
fumecheng-1634	32	12	the	the	DET
fumecheng-1634	32	13	plane	plane	NOUN
fumecheng-1634	32	14	is	be	AUX
fumecheng-1634	32	15	rigid	rigid	ADJ
fumecheng-1634	32	16	.	.	PUNCT
fumecheng-1634	33	1	we	we	PRON
fumecheng-1634	33	2	keep	keep	VERB
fumecheng-1634	33	3	normal	normal	ADJ
fumecheng-1634	33	4	force	force	NOUN
fumecheng-1634	33	5	fn	fn	NOUN
fumecheng-1634	33	6	that	that	SCONJ
fumecheng-1634	33	7	we	we	PRON
fumecheng-1634	33	8	first	first	ADV
fumecheng-1634	33	9	applied	apply	VERB
fumecheng-1634	33	10	constant	constant	ADJ
fumecheng-1634	33	11	throughout	throughout	ADP
fumecheng-1634	33	12	the	the	DET
fumecheng-1634	33	13	following	following	NOUN
fumecheng-1634	33	14	.	.	PUNCT
fumecheng-1634	34	1	this	this	DET
fumecheng-1634	34	2	configuration	configuration	NOUN
fumecheng-1634	34	3	is	be	AUX
fumecheng-1634	34	4	known	know	VERB
fumecheng-1634	34	5	as	as	ADP
fumecheng-1634	34	6	the	the	DET
fumecheng-1634	34	7	hertzian	hertzian	ADJ
fumecheng-1634	34	8	contact	contact	NOUN
fumecheng-1634	34	9	with	with	ADP
fumecheng-1634	34	10	contact	contact	NOUN
fumecheng-1634	34	11	radius	radius	NOUN
fumecheng-1634	34	12	a	a	PRON
fumecheng-1634	34	13	and	and	CCONJ
fumecheng-1634	34	14	has	have	AUX
fumecheng-1634	34	15	been	be	AUX
fumecheng-1634	34	16	studied	study	VERB
fumecheng-1634	34	17	in	in	ADP
fumecheng-1634	34	18	great	great	ADJ
fumecheng-1634	34	19	detail	detail	NOUN
fumecheng-1634	34	20	.	.	PUNCT
fumecheng-1634	35	1	normal	normal	ADJ
fumecheng-1634	35	2	stress	stress	NOUN
fumecheng-1634	35	3	distribution	distribution	NOUN
fumecheng-1634	35	4	p	p	NOUN
fumecheng-1634	35	5	as	as	ADP
fumecheng-1634	35	6	a	a	DET
fumecheng-1634	35	7	function	function	NOUN
fumecheng-1634	35	8	of	of	ADP
fumecheng-1634	35	9	radial	radial	ADJ
fumecheng-1634	35	10	coordinate	coordinate	NOUN
fumecheng-1634	35	11	r	r	NOUN
fumecheng-1634	35	12	reads	read	VERB
fumecheng-1634	35	13	1	1	NUM
fumecheng-1634	35	14	2	2	NUM
fumecheng-1634	35	15	2	2	NUM
fumecheng-1634	35	16	max	max	NOUN
fumecheng-1634	35	17	2	2	NUM
fumecheng-1634	35	18	2	2	NUM
fumecheng-1634	35	19	/	/	SYM
fumecheng-1634	35	20	31/	31/	NUM
fumecheng-1634	35	21	3	3	NUM
fumecheng-1634	35	22	*	*	PUNCT
fumecheng-1634	35	23	n	n	NUM
fumecheng-1634	35	24	max	max	PROPN
fumecheng-1634	35	25	r	r	NOUN
fumecheng-1634	35	26	p(r	p(r	PROPN
fumecheng-1634	35	27	)	)	PUNCT
fumecheng-1634	35	28	p	p	NOUN
fumecheng-1634	35	29	1	1	NUM
fumecheng-1634	35	30	a	a	DET
fumecheng-1634	35	31	(	(	PUNCT
fumecheng-1634	35	32	6f	6f	NUM
fumecheng-1634	35	33	)	)	PUNCT
fumecheng-1634	36	1	e	e	NOUN
fumecheng-1634	36	2	p	p	NOUN
fumecheng-1634	36	3	r	r	NOUN
fumecheng-1634	36	4			NOUN
fumecheng-1634	36	5			NOUN
fumecheng-1634	36	6			PROPN
fumecheng-1634	37	1			PROPN
fumecheng-1634	37	2			PROPN
fumecheng-1634	38	1			PROPN
fumecheng-1634	38	2			PROPN
fumecheng-1634	39	1			NOUN
fumecheng-1634	39	2			NOUN
fumecheng-1634	40	1			PROPN
fumecheng-1634	41	1			PROPN
fumecheng-1634	42	1			PROPN
fumecheng-1634	42	2			ADJ
fumecheng-1634	42	3			PROPN
fumecheng-1634	42	4			NOUN
fumecheng-1634	42	5	.	.	PUNCT
fumecheng-1634	43	1	(	(	PUNCT
fumecheng-1634	43	2	1	1	X
fumecheng-1634	43	3	)	)	PUNCT
fumecheng-1634	43	4	here	here	ADV
fumecheng-1634	43	5	we	we	PRON
fumecheng-1634	43	6	used	use	VERB
fumecheng-1634	43	7	the	the	DET
fumecheng-1634	43	8	reduced	reduce	VERB
fumecheng-1634	43	9	modulus	modulus	NOUN
fumecheng-1634	43	10	of	of	ADP
fumecheng-1634	43	11	elasticity	elasticity	NOUN
fumecheng-1634	43	12	:	:	PUNCT
fumecheng-1634	43	13	2	2	NUM
fumecheng-1634	43	14	2	2	NUM
fumecheng-1634	43	15	1	1	NUM
fumecheng-1634	43	16	2	2	NUM
fumecheng-1634	43	17	*	*	SYM
fumecheng-1634	43	18	1	1	NUM
fumecheng-1634	43	19	2	2	NUM
fumecheng-1634	43	20	1	1	NUM
fumecheng-1634	43	21	11	11	NUM
fumecheng-1634	43	22	e	e	NOUN
fumecheng-1634	43	23	e	e	X
fumecheng-1634	43	24	e	e	ADP
fumecheng-1634	43	25			PROPN
fumecheng-1634	43	26			VERB
fumecheng-1634	43	27			ADJ
fumecheng-1634	43	28			NOUN
fumecheng-1634	43	29			PROPN
fumecheng-1634	43	30	,	,	PUNCT
fumecheng-1634	43	31	(	(	PUNCT
fumecheng-1634	43	32	2	2	X
fumecheng-1634	43	33	)	)	PUNCT
fumecheng-1634	43	34	for	for	ADP
fumecheng-1634	43	35	two	two	NUM
fumecheng-1634	43	36	elastic	elastic	ADJ
fumecheng-1634	43	37	bodies	body	NOUN
fumecheng-1634	43	38	with	with	ADP
fumecheng-1634	43	39	moduli	modulus	NOUN
fumecheng-1634	43	40	of	of	ADP
fumecheng-1634	43	41	elasticity	elasticity	NOUN
fumecheng-1634	43	42	e1	e1	PROPN
fumecheng-1634	43	43	and	and	CCONJ
fumecheng-1634	43	44	e2	e2	PROPN
fumecheng-1634	43	45	,	,	PUNCT
fumecheng-1634	43	46	shear	shear	NOUN
fumecheng-1634	43	47	moduli	moduli	PROPN
fumecheng-1634	43	48	g1	g1	PROPN
fumecheng-1634	43	49	and	and	CCONJ
fumecheng-1634	43	50	g2	g2	PROPN
fumecheng-1634	43	51	and	and	CCONJ
fumecheng-1634	43	52	poisson	poisson	PROPN
fumecheng-1634	43	53	's	's	PART
fumecheng-1634	43	54	ratios	ratio	NOUN
fumecheng-1634	43	55	1	1	PROPN
fumecheng-1634	43	56	and	and	CCONJ
fumecheng-1634	43	57	2	2	PROPN
fumecheng-1634	43	58	,	,	PUNCT
fumecheng-1634	43	59	respectively	respectively	ADV
fumecheng-1634	43	60	.	.	PUNCT
fumecheng-1634	44	1	the	the	DET
fumecheng-1634	44	2	equivalent	equivalent	ADJ
fumecheng-1634	44	3	reduced	reduce	VERB
fumecheng-1634	44	4	shear	shear	NOUN
fumecheng-1634	44	5	modulus	modulus	NOUN
fumecheng-1634	44	6	is	be	AUX
fumecheng-1634	44	7	:	:	PUNCT
fumecheng-1634	44	8	2	2	NUM
fumecheng-1634	44	9	2	2	NUM
fumecheng-1634	44	10	1	1	NUM
fumecheng-1634	44	11	2	2	NUM
fumecheng-1634	44	12	*	*	SYM
fumecheng-1634	44	13	1	1	NUM
fumecheng-1634	44	14	2	2	NUM
fumecheng-1634	44	15	1	1	NUM
fumecheng-1634	44	16	11	11	NUM
fumecheng-1634	44	17	g	g	ADP
fumecheng-1634	44	18	g	g	PROPN
fumecheng-1634	44	19	g	g	PROPN
fumecheng-1634	44	20			PROPN
fumecheng-1634	44	21			VERB
fumecheng-1634	44	22			ADJ
fumecheng-1634	44	23			NOUN
fumecheng-1634	44	24			PROPN
fumecheng-1634	44	25	.	.	PUNCT
fumecheng-1634	45	1	(	(	PUNCT
fumecheng-1634	45	2	3	3	X
fumecheng-1634	45	3	)	)	PUNCT
fumecheng-1634	45	4	we	we	PRON
fumecheng-1634	45	5	now	now	ADV
fumecheng-1634	45	6	move	move	VERB
fumecheng-1634	45	7	the	the	DET
fumecheng-1634	45	8	indenter	indenter	NOUN
fumecheng-1634	45	9	horizontally	horizontally	ADV
fumecheng-1634	45	10	along	along	ADP
fumecheng-1634	45	11	one	one	NUM
fumecheng-1634	45	12	spatial	spatial	ADJ
fumecheng-1634	45	13	direction	direction	NOUN
fumecheng-1634	45	14	and	and	CCONJ
fumecheng-1634	45	15	assume	assume	VERB
fumecheng-1634	45	16	that	that	SCONJ
fumecheng-1634	45	17	coulombs	coulombs	PROPN
fumecheng-1634	45	18	law	law	NOUN
fumecheng-1634	45	19	of	of	ADP
fumecheng-1634	45	20	friction	friction	NOUN
fumecheng-1634	45	21	is	be	AUX
fumecheng-1634	45	22	valid	valid	ADJ
fumecheng-1634	45	23	in	in	ADP
fumecheng-1634	45	24	its	its	PRON
fumecheng-1634	45	25	simplest	simple	ADJ
fumecheng-1634	45	26	form	form	NOUN
fumecheng-1634	45	27	τ(r	τ(r	NOUN
fumecheng-1634	45	28	)	)	PUNCT
fumecheng-1634	45	29	≤	≤	NUM
fumecheng-1634	45	30	μp(r	μp(r	NOUN
fumecheng-1634	45	31	)	)	PUNCT
fumecheng-1634	45	32	.	.	PUNCT
fumecheng-1634	46	1	here	here	ADV
fumecheng-1634	46	2	τ	τ	PROPN
fumecheng-1634	46	3	is	be	AUX
fumecheng-1634	46	4	the	the	DET
fumecheng-1634	46	5	shear	shear	NOUN
fumecheng-1634	46	6	stress	stress	NOUN
fumecheng-1634	46	7	and	and	CCONJ
fumecheng-1634	46	8	μ	μ	NOUN
fumecheng-1634	46	9	is	be	AUX
fumecheng-1634	46	10	the	the	DET
fumecheng-1634	46	11	coefficient	coefficient	NOUN
fumecheng-1634	46	12	of	of	ADP
fumecheng-1634	46	13	friction	friction	NOUN
fumecheng-1634	46	14	.	.	PUNCT
fumecheng-1634	47	1	this	this	DET
fumecheng-1634	47	2	condition	condition	NOUN
fumecheng-1634	47	3	leads	lead	VERB
fumecheng-1634	47	4	to	to	ADP
fumecheng-1634	47	5	the	the	DET
fumecheng-1634	47	6	partitioning	partitioning	NOUN
fumecheng-1634	47	7	of	of	ADP
fumecheng-1634	47	8	the	the	DET
fumecheng-1634	47	9	contact	contact	NOUN
fumecheng-1634	47	10	area	area	NOUN
fumecheng-1634	47	11	into	into	ADP
fumecheng-1634	47	12	a	a	DET
fumecheng-1634	47	13	stick	stick	NOUN
fumecheng-1634	47	14	area	area	NOUN
fumecheng-1634	47	15	in	in	ADP
fumecheng-1634	47	16	the	the	DET
fumecheng-1634	47	17	center	center	NOUN
fumecheng-1634	47	18	and	and	CCONJ
fumecheng-1634	47	19	a	a	DET
fumecheng-1634	47	20	slip	slip	NOUN
fumecheng-1634	47	21	area	area	NOUN
fumecheng-1634	47	22	at	at	ADP
fumecheng-1634	47	23	the	the	DET
fumecheng-1634	47	24	edges	edge	NOUN
fumecheng-1634	47	25	of	of	ADP
fumecheng-1634	47	26	it	it	PRON
fumecheng-1634	47	27	.	.	PUNCT
fumecheng-1634	48	1	for	for	ADP
fumecheng-1634	48	2	example	example	NOUN
fumecheng-1634	48	3	,	,	PUNCT
fumecheng-1634	48	4	at	at	ADP
fumecheng-1634	48	5	the	the	DET
fumecheng-1634	48	6	very	very	ADJ
fumecheng-1634	48	7	edge	edge	NOUN
fumecheng-1634	48	8	of	of	ADP
fumecheng-1634	48	9	the	the	DET
fumecheng-1634	48	10	contact	contact	NOUN
fumecheng-1634	48	11	surface	surface	NOUN
fumecheng-1634	48	12	,	,	PUNCT
fumecheng-1634	48	13	normal	normal	ADJ
fumecheng-1634	48	14	stress	stress	NOUN
fumecheng-1634	48	15	disappears	disappear	VERB
fumecheng-1634	48	16	and	and	CCONJ
fumecheng-1634	48	17	the	the	DET
fumecheng-1634	48	18	slightest	slight	ADJ
fumecheng-1634	48	19	displacement	displacement	NOUN
fumecheng-1634	48	20	of	of	ADP
fumecheng-1634	48	21	the	the	DET
fumecheng-1634	48	22	indenter	indenter	NOUN
fumecheng-1634	48	23	would	would	AUX
fumecheng-1634	48	24	lead	lead	VERB
fumecheng-1634	48	25	to	to	AUX
fumecheng-1634	48	26	shear	shear	VERB
fumecheng-1634	48	27	stress	stress	NOUN
fumecheng-1634	48	28	violating	violate	VERB
fumecheng-1634	48	29	our	our	PRON
fumecheng-1634	48	30	friction	friction	NOUN
fumecheng-1634	48	31	condition	condition	NOUN
fumecheng-1634	48	32	if	if	SCONJ
fumecheng-1634	48	33	we	we	PRON
fumecheng-1634	48	34	assumed	assume	VERB
fumecheng-1634	48	35	it	it	PRON
fumecheng-1634	48	36	would	would	AUX
fumecheng-1634	48	37	stick	stick	VERB
fumecheng-1634	48	38	to	to	ADP
fumecheng-1634	48	39	the	the	DET
fumecheng-1634	48	40	plane	plane	NOUN
fumecheng-1634	48	41	.	.	PUNCT
fumecheng-1634	49	1	the	the	DET
fumecheng-1634	49	2	solution	solution	NOUN
fumecheng-1634	49	3	of	of	ADP
fumecheng-1634	49	4	this	this	PRON
fumecheng-1634	49	5	is	be	AUX
fumecheng-1634	49	6	that	that	SCONJ
fumecheng-1634	49	7	some	some	DET
fumecheng-1634	49	8	parts	part	NOUN
fumecheng-1634	49	9	of	of	ADP
fumecheng-1634	49	10	the	the	DET
fumecheng-1634	49	11	contact	contact	NOUN
fumecheng-1634	49	12	area	area	NOUN
fumecheng-1634	49	13	are	be	AUX
fumecheng-1634	49	14	being	be	AUX
fumecheng-1634	49	15	slipped	slip	VERB
fumecheng-1634	49	16	over	over	ADP
fumecheng-1634	49	17	the	the	DET
fumecheng-1634	49	18	plane	plane	NOUN
fumecheng-1634	49	19	while	while	SCONJ
fumecheng-1634	49	20	the	the	DET
fumecheng-1634	49	21	others	other	NOUN
fumecheng-1634	49	22	stick	stick	VERB
fumecheng-1634	49	23	to	to	ADP
fumecheng-1634	49	24	it	it	PRON
fumecheng-1634	49	25	.	.	PUNCT
fumecheng-1634	50	1	at	at	ADP
fumecheng-1634	50	2	a	a	DET
fumecheng-1634	50	3	certain	certain	ADJ
fumecheng-1634	50	4	point	point	NOUN
fumecheng-1634	50	5	,	,	PUNCT
fumecheng-1634	50	6	the	the	DET
fumecheng-1634	50	7	stick	stick	PROPN
fumecheng-1634	50	8	area	area	NOUN
fumecheng-1634	50	9	completely	completely	ADV
fumecheng-1634	50	10	disappears	disappear	VERB
fumecheng-1634	50	11	and	and	CCONJ
fumecheng-1634	50	12	the	the	DET
fumecheng-1634	50	13	whole	whole	ADJ
fumecheng-1634	50	14	contact	contact	NOUN
fumecheng-1634	50	15	is	be	AUX
fumecheng-1634	50	16	slipping	slip	VERB
fumecheng-1634	50	17	.	.	PUNCT
fumecheng-1634	51	1	tangential	tangential	ADJ
fumecheng-1634	51	2	displacement	displacement	NOUN
fumecheng-1634	51	3	ux	ux	PROPN
fumecheng-1634	51	4	(	(	PUNCT
fumecheng-1634	51	5	0	0	NUM
fumecheng-1634	51	6	)	)	PUNCT
fumecheng-1634	51	7	at	at	ADP
fumecheng-1634	51	8	this	this	DET
fumecheng-1634	51	9	last	last	ADJ
fumecheng-1634	51	10	point	point	NOUN
fumecheng-1634	51	11	reads	read	VERB
fumecheng-1634	51	12	[	[	X
fumecheng-1634	51	13	2	2	NUM
fumecheng-1634	51	14	]	]	NOUN
fumecheng-1634	51	15	:	:	PUNCT
fumecheng-1634	51	16	reduction	reduction	NOUN
fumecheng-1634	51	17	of	of	ADP
fumecheng-1634	51	18	residual	residual	ADJ
fumecheng-1634	51	19	shear	shear	NOUN
fumecheng-1634	51	20	stress	stress	NOUN
fumecheng-1634	51	21	in	in	ADP
fumecheng-1634	51	22	the	the	DET
fumecheng-1634	51	23	loaded	load	VERB
fumecheng-1634	51	24	contact	contact	NOUN
fumecheng-1634	51	25	using	use	VERB
fumecheng-1634	51	26	friction	friction	NOUN
fumecheng-1634	51	27	hysteresis	hysteresis	NOUN
fumecheng-1634	51	28	161	161	NUM
fumecheng-1634	51	29	(	(	PUNCT
fumecheng-1634	51	30	0	0	NUM
fumecheng-1634	51	31	)	)	PUNCT
fumecheng-1634	51	32	*	*	PUNCT
fumecheng-1634	52	1	x	x	X
fumecheng-1634	52	2	m	m	VERB
fumecheng-1634	52	3	x	x	X
fumecheng-1634	52	4	*	*	PUNCT
fumecheng-1634	52	5	au	au	ADP
fumecheng-1634	52	6	e	e	X
fumecheng-1634	52	7	g	g	PROPN
fumecheng-1634	52	8			PROPN
fumecheng-1634	52	9			NOUN
fumecheng-1634	52	10	.	.	PUNCT
fumecheng-1634	53	1	(	(	PUNCT
fumecheng-1634	53	2	4	4	X
fumecheng-1634	53	3	)	)	PUNCT
fumecheng-1634	53	4	let	let	VERB
fumecheng-1634	53	5	us	we	PRON
fumecheng-1634	53	6	now	now	ADV
fumecheng-1634	53	7	drag	drag	VERB
fumecheng-1634	53	8	the	the	DET
fumecheng-1634	53	9	indenter	indenter	NOUN
fumecheng-1634	53	10	back	back	ADV
fumecheng-1634	53	11	and	and	CCONJ
fumecheng-1634	53	12	forth	forth	ADV
fumecheng-1634	53	13	along	along	ADP
fumecheng-1634	53	14	the	the	DET
fumecheng-1634	53	15	same	same	ADJ
fumecheng-1634	53	16	spatial	spatial	ADJ
fumecheng-1634	53	17	direction	direction	NOUN
fumecheng-1634	53	18	on	on	ADP
fumecheng-1634	53	19	the	the	DET
fumecheng-1634	53	20	rigid	rigid	ADJ
fumecheng-1634	53	21	plane	plane	NOUN
fumecheng-1634	53	22	.	.	PUNCT
fumecheng-1634	54	1	we	we	PRON
fumecheng-1634	54	2	observe	observe	VERB
fumecheng-1634	54	3	different	different	ADJ
fumecheng-1634	54	4	shear	shear	NOUN
fumecheng-1634	54	5	stress	stress	NOUN
fumecheng-1634	54	6	distributions	distribution	NOUN
fumecheng-1634	54	7	depending	depend	VERB
fumecheng-1634	54	8	on	on	ADP
fumecheng-1634	54	9	the	the	DET
fumecheng-1634	54	10	motion	motion	NOUN
fumecheng-1634	54	11	history	history	NOUN
fumecheng-1634	54	12	.	.	PUNCT
fumecheng-1634	55	1	the	the	DET
fumecheng-1634	55	2	shear	shear	NOUN
fumecheng-1634	55	3	stress	stress	NOUN
fumecheng-1634	55	4	created	create	VERB
fumecheng-1634	55	5	from	from	ADP
fumecheng-1634	55	6	the	the	DET
fumecheng-1634	55	7	first	first	ADJ
fumecheng-1634	55	8	movement	movement	NOUN
fumecheng-1634	55	9	will	will	AUX
fumecheng-1634	55	10	not	not	PART
fumecheng-1634	55	11	disappear	disappear	VERB
fumecheng-1634	55	12	if	if	SCONJ
fumecheng-1634	55	13	we	we	PRON
fumecheng-1634	55	14	simply	simply	ADV
fumecheng-1634	55	15	return	return	VERB
fumecheng-1634	55	16	to	to	ADP
fumecheng-1634	55	17	our	our	PRON
fumecheng-1634	55	18	starting	starting	NOUN
fumecheng-1634	55	19	point	point	NOUN
fumecheng-1634	55	20	.	.	PUNCT
fumecheng-1634	56	1	in	in	ADP
fumecheng-1634	56	2	the	the	DET
fumecheng-1634	56	3	following	following	NOUN
fumecheng-1634	56	4	,	,	PUNCT
fumecheng-1634	56	5	we	we	PRON
fumecheng-1634	56	6	will	will	AUX
fumecheng-1634	56	7	analyze	analyze	VERB
fumecheng-1634	56	8	the	the	DET
fumecheng-1634	56	9	shear	shear	NOUN
fumecheng-1634	56	10	stress	stress	NOUN
fumecheng-1634	56	11	under	under	ADP
fumecheng-1634	56	12	a	a	DET
fumecheng-1634	56	13	back	back	NOUN
fumecheng-1634	56	14	and	and	CCONJ
fumecheng-1634	56	15	forth	forth	ADJ
fumecheng-1634	56	16	movement	movement	NOUN
fumecheng-1634	56	17	with	with	ADP
fumecheng-1634	56	18	falling	fall	VERB
fumecheng-1634	56	19	amplitude	amplitude	NOUN
fumecheng-1634	56	20	with	with	ADP
fumecheng-1634	56	21	the	the	DET
fumecheng-1634	56	22	aim	aim	NOUN
fumecheng-1634	56	23	of	of	ADP
fumecheng-1634	56	24	reducing	reduce	VERB
fumecheng-1634	56	25	this	this	DET
fumecheng-1634	56	26	stress	stress	NOUN
fumecheng-1634	56	27	.	.	PUNCT
fumecheng-1634	57	1	for	for	ADP
fumecheng-1634	57	2	the	the	DET
fumecheng-1634	57	3	analysis	analysis	NOUN
fumecheng-1634	57	4	of	of	ADP
fumecheng-1634	57	5	the	the	DET
fumecheng-1634	57	6	system	system	NOUN
fumecheng-1634	57	7	,	,	PUNCT
fumecheng-1634	57	8	the	the	DET
fumecheng-1634	57	9	aleshins	aleshin	NOUN
fumecheng-1634	57	10	method	method	NOUN
fumecheng-1634	57	11	of	of	ADP
fumecheng-1634	57	12	memory	memory	NOUN
fumecheng-1634	57	13	diagrams	diagram	NOUN
fumecheng-1634	57	14	is	be	AUX
fumecheng-1634	57	15	well	well	ADV
fumecheng-1634	57	16	suited	suited	ADJ
fumecheng-1634	57	17	.	.	PUNCT
fumecheng-1634	58	1	because	because	SCONJ
fumecheng-1634	58	2	the	the	DET
fumecheng-1634	58	3	contact	contact	NOUN
fumecheng-1634	58	4	stress	stress	NOUN
fumecheng-1634	58	5	distribution	distribution	NOUN
fumecheng-1634	58	6	accumulates	accumulate	VERB
fumecheng-1634	58	7	more	more	ADJ
fumecheng-1634	58	8	and	and	CCONJ
fumecheng-1634	58	9	information	information	NOUN
fumecheng-1634	58	10	of	of	ADP
fumecheng-1634	58	11	past	past	ADJ
fumecheng-1634	58	12	reversal	reversal	NOUN
fumecheng-1634	58	13	points	point	NOUN
fumecheng-1634	58	14	,	,	PUNCT
fumecheng-1634	58	15	the	the	DET
fumecheng-1634	58	16	hh	hh	PROPN
fumecheng-1634	58	17	-	-	PUNCT
fumecheng-1634	58	18	mode	mode	NOUN
fumecheng-1634	58	19	described	describe	VERB
fumecheng-1634	58	20	in	in	ADP
fumecheng-1634	58	21	sec	sec	PROPN
fumecheng-1634	58	22	.	.	PROPN
fumecheng-1634	58	23	31	31	NUM
fumecheng-1634	58	24	of	of	ADP
fumecheng-1634	58	25	[	[	X
fumecheng-1634	58	26	9	9	NUM
fumecheng-1634	58	27	]	]	PUNCT
fumecheng-1634	58	28	should	should	AUX
fumecheng-1634	58	29	be	be	AUX
fumecheng-1634	58	30	applied	apply	VERB
fumecheng-1634	58	31	iteratively	iteratively	ADV
fumecheng-1634	58	32	.	.	PUNCT
fumecheng-1634	59	1	using	use	VERB
fumecheng-1634	59	2	careful	careful	ADJ
fumecheng-1634	59	3	algebra	algebra	NOUN
fumecheng-1634	59	4	,	,	PUNCT
fumecheng-1634	59	5	an	an	DET
fumecheng-1634	59	6	explicit	explicit	ADJ
fumecheng-1634	59	7	analytical	analytical	ADJ
fumecheng-1634	59	8	solution	solution	NOUN
fumecheng-1634	59	9	might	might	AUX
fumecheng-1634	59	10	be	be	AUX
fumecheng-1634	59	11	achievable	achievable	ADJ
fumecheng-1634	59	12	.	.	PUNCT
fumecheng-1634	60	1	however	however	ADV
fumecheng-1634	60	2	,	,	PUNCT
fumecheng-1634	60	3	we	we	PRON
fumecheng-1634	60	4	decided	decide	VERB
fumecheng-1634	60	5	to	to	PART
fumecheng-1634	60	6	use	use	VERB
fumecheng-1634	60	7	the	the	DET
fumecheng-1634	60	8	method	method	NOUN
fumecheng-1634	60	9	of	of	ADP
fumecheng-1634	60	10	dimensionality	dimensionality	NOUN
fumecheng-1634	60	11	reduction	reduction	NOUN
fumecheng-1634	60	12	for	for	ADP
fumecheng-1634	60	13	our	our	PRON
fumecheng-1634	60	14	analysis	analysis	NOUN
fumecheng-1634	60	15	,	,	PUNCT
fumecheng-1634	60	16	which	which	PRON
fumecheng-1634	60	17	we	we	PRON
fumecheng-1634	60	18	describe	describe	VERB
fumecheng-1634	60	19	in	in	ADP
fumecheng-1634	60	20	the	the	DET
fumecheng-1634	60	21	next	next	ADJ
fumecheng-1634	60	22	section	section	NOUN
fumecheng-1634	60	23	.	.	PUNCT
fumecheng-1634	61	1	alternatively	alternatively	ADV
fumecheng-1634	61	2	,	,	PUNCT
fumecheng-1634	61	3	one	one	PRON
fumecheng-1634	61	4	could	could	AUX
fumecheng-1634	61	5	employ	employ	VERB
fumecheng-1634	61	6	a	a	DET
fumecheng-1634	61	7	full	full	ADJ
fumecheng-1634	61	8	boundary	boundary	ADJ
fumecheng-1634	61	9	elements	element	NOUN
fumecheng-1634	61	10	solution	solution	NOUN
fumecheng-1634	61	11	[	[	X
fumecheng-1634	61	12	7	7	NUM
fumecheng-1634	61	13	]	]	PUNCT
fumecheng-1634	61	14	.	.	PUNCT
fumecheng-1634	62	1	2	2	X
fumecheng-1634	62	2	.	.	X
fumecheng-1634	62	3	mdr	mdr	PROPN
fumecheng-1634	62	4	and	and	CCONJ
fumecheng-1634	62	5	discretized	discretize	VERB
fumecheng-1634	62	6	1d	1d	NUM
fumecheng-1634	62	7	-	-	PUNCT
fumecheng-1634	62	8	model	model	NOUN
fumecheng-1634	62	9	we	we	PRON
fumecheng-1634	62	10	consider	consider	VERB
fumecheng-1634	62	11	the	the	DET
fumecheng-1634	62	12	three	three	NUM
fumecheng-1634	62	13	-	-	PUNCT
fumecheng-1634	62	14	dimensional	dimensional	ADJ
fumecheng-1634	62	15	contact	contact	NOUN
fumecheng-1634	62	16	of	of	ADP
fumecheng-1634	62	17	two	two	NUM
fumecheng-1634	62	18	elastic	elastic	ADJ
fumecheng-1634	62	19	bodies	body	NOUN
fumecheng-1634	62	20	.	.	PUNCT
fumecheng-1634	63	1	in	in	ADP
fumecheng-1634	63	2	the	the	DET
fumecheng-1634	63	3	following	following	NOUN
fumecheng-1634	63	4	,	,	PUNCT
fumecheng-1634	63	5	we	we	PRON
fumecheng-1634	63	6	presuppose	presuppose	VERB
fumecheng-1634	63	7	axially	axially	ADV
fumecheng-1634	63	8	symmetric	symmetric	ADJ
fumecheng-1634	63	9	profiles	profile	NOUN
fumecheng-1634	63	10	.	.	PUNCT
fumecheng-1634	64	1	let	let	VERB
fumecheng-1634	64	2	z	z	NOUN
fumecheng-1634	64	3	=	=	VERB
fumecheng-1634	64	4	f	f	X
fumecheng-1634	64	5	(	(	PUNCT
fumecheng-1634	64	6	r	r	NOUN
fumecheng-1634	64	7	)	)	PUNCT
fumecheng-1634	64	8	be	be	AUX
fumecheng-1634	64	9	the	the	DET
fumecheng-1634	64	10	difference	difference	NOUN
fumecheng-1634	64	11	between	between	ADP
fumecheng-1634	64	12	the	the	DET
fumecheng-1634	64	13	profiles	profile	NOUN
fumecheng-1634	64	14	of	of	ADP
fumecheng-1634	64	15	the	the	DET
fumecheng-1634	64	16	bodies	body	NOUN
fumecheng-1634	64	17	.	.	PUNCT
fumecheng-1634	65	1	according	accord	VERB
fumecheng-1634	65	2	to	to	ADP
fumecheng-1634	65	3	the	the	DET
fumecheng-1634	65	4	theorems	theorem	NOUN
fumecheng-1634	65	5	of	of	ADP
fumecheng-1634	65	6	the	the	DET
fumecheng-1634	65	7	method	method	NOUN
fumecheng-1634	65	8	of	of	ADP
fumecheng-1634	65	9	dimensionality	dimensionality	NOUN
fumecheng-1634	65	10	reduction	reduction	NOUN
fumecheng-1634	65	11	(	(	PUNCT
fumecheng-1634	65	12	mdr	mdr	PROPN
fumecheng-1634	65	13	)	)	PUNCT
fumecheng-1634	65	14	,	,	PUNCT
fumecheng-1634	65	15	this	this	DET
fumecheng-1634	65	16	contact	contact	NOUN
fumecheng-1634	65	17	can	can	AUX
fumecheng-1634	65	18	be	be	AUX
fumecheng-1634	65	19	exactly	exactly	ADV
fumecheng-1634	65	20	replaced	replace	VERB
fumecheng-1634	65	21	by	by	ADP
fumecheng-1634	65	22	a	a	DET
fumecheng-1634	65	23	contact	contact	NOUN
fumecheng-1634	65	24	with	with	ADP
fumecheng-1634	65	25	a	a	DET
fumecheng-1634	65	26	one	one	NUM
fumecheng-1634	65	27	-	-	PUNCT
fumecheng-1634	65	28	dimensional	dimensional	ADJ
fumecheng-1634	65	29	linearly	linearly	ADJ
fumecheng-1634	65	30	elastic	elastic	ADJ
fumecheng-1634	65	31	foundation	foundation	NOUN
fumecheng-1634	65	32	with	with	ADP
fumecheng-1634	65	33	independent	independent	ADJ
fumecheng-1634	65	34	springs	spring	NOUN
fumecheng-1634	65	35	.	.	PUNCT
fumecheng-1634	66	1	to	to	PART
fumecheng-1634	66	2	reduce	reduce	VERB
fumecheng-1634	66	3	the	the	DET
fumecheng-1634	66	4	initial	initial	ADJ
fumecheng-1634	66	5	three	three	NUM
fumecheng-1634	66	6	-	-	PUNCT
fumecheng-1634	66	7	dimensional	dimensional	ADJ
fumecheng-1634	66	8	contact	contact	NOUN
fumecheng-1634	66	9	to	to	ADP
fumecheng-1634	66	10	a	a	DET
fumecheng-1634	66	11	one	one	NUM
fumecheng-1634	66	12	-	-	PUNCT
fumecheng-1634	66	13	dimensional	dimensional	ADJ
fumecheng-1634	66	14	one	one	NUM
fumecheng-1634	66	15	,	,	PUNCT
fumecheng-1634	66	16	two	two	NUM
fumecheng-1634	66	17	steps	step	NOUN
fumecheng-1634	66	18	are	be	AUX
fumecheng-1634	66	19	required	require	VERB
fumecheng-1634	66	20	.	.	PUNCT
fumecheng-1634	67	1	first	first	ADV
fumecheng-1634	67	2	,	,	PUNCT
fumecheng-1634	67	3	we	we	PRON
fumecheng-1634	67	4	replace	replace	VERB
fumecheng-1634	67	5	the	the	DET
fumecheng-1634	67	6	elastic	elastic	ADJ
fumecheng-1634	67	7	bodies	body	NOUN
fumecheng-1634	67	8	by	by	ADP
fumecheng-1634	67	9	the	the	DET
fumecheng-1634	67	10	one	one	NUM
fumecheng-1634	67	11	-	-	PUNCT
fumecheng-1634	67	12	dimensional	dimensional	ADJ
fumecheng-1634	67	13	linearly	linearly	ADJ
fumecheng-1634	67	14	elastic	elastic	ADJ
fumecheng-1634	67	15	foundation	foundation	NOUN
fumecheng-1634	67	16	.	.	PUNCT
fumecheng-1634	68	1	normal	normal	ADJ
fumecheng-1634	68	2	stiffness	stiffness	NOUN
fumecheng-1634	68	3	δkz	δkz	NOUN
fumecheng-1634	68	4	and	and	CCONJ
fumecheng-1634	68	5	tangential	tangential	ADJ
fumecheng-1634	68	6	stiffness	stiffness	NOUN
fumecheng-1634	68	7	δkx	δkx	NOUN
fumecheng-1634	68	8	of	of	ADP
fumecheng-1634	68	9	the	the	DET
fumecheng-1634	68	10	springs	spring	NOUN
fumecheng-1634	68	11	are	be	AUX
fumecheng-1634	68	12	chosen	choose	VERB
fumecheng-1634	68	13	according	accord	VERB
fumecheng-1634	68	14	to	to	ADP
fumecheng-1634	68	15	:	:	PUNCT
fumecheng-1634	68	16	*	*	PUNCT
fumecheng-1634	68	17	z	z	X
fumecheng-1634	68	18	ek	ek	PART
fumecheng-1634	68	19	x	x	NOUN
fumecheng-1634	68	20	 	 	SPACE
fumecheng-1634	68	21			NOUN
fumecheng-1634	68	22			NOUN
fumecheng-1634	68	23	(	(	PUNCT
fumecheng-1634	68	24	5	5	NUM
fumecheng-1634	68	25	)	)	PUNCT
fumecheng-1634	68	26	and	and	CCONJ
fumecheng-1634	68	27	*	*	PUNCT
fumecheng-1634	68	28	xk	xk	PROPN
fumecheng-1634	68	29	xg	xg	PROPN
fumecheng-1634	69	1			NUM
fumecheng-1634	69	2			NOUN
fumecheng-1634	69	3	,	,	PUNCT
fumecheng-1634	69	4	(	(	PUNCT
fumecheng-1634	69	5	6	6	NUM
fumecheng-1634	69	6	)	)	PUNCT
fumecheng-1634	69	7	where	where	SCONJ
fumecheng-1634	69	8	x	x	PROPN
fumecheng-1634	69	9	denotes	denote	VERB
fumecheng-1634	69	10	the	the	DET
fumecheng-1634	69	11	distance	distance	NOUN
fumecheng-1634	69	12	between	between	ADP
fumecheng-1634	69	13	two	two	NUM
fumecheng-1634	69	14	springs	spring	NOUN
fumecheng-1634	69	15	.	.	PUNCT
fumecheng-1634	70	1	second	second	ADJ
fumecheng-1634	70	2	,	,	PUNCT
fumecheng-1634	70	3	we	we	PRON
fumecheng-1634	70	4	replace	replace	VERB
fumecheng-1634	70	5	the	the	DET
fumecheng-1634	70	6	three	three	NUM
fumecheng-1634	70	7	-	-	PUNCT
fumecheng-1634	70	8	dimensional	dimensional	ADJ
fumecheng-1634	70	9	profile	profile	NOUN
fumecheng-1634	70	10	z	z	NOUN
fumecheng-1634	70	11	=	=	NOUN
fumecheng-1634	70	12	f(r	f(r	X
fumecheng-1634	70	13	)	)	PUNCT
fumecheng-1634	70	14	with	with	ADP
fumecheng-1634	70	15	a	a	DET
fumecheng-1634	70	16	one	one	NUM
fumecheng-1634	70	17	-	-	PUNCT
fumecheng-1634	70	18	dimensional	dimensional	ADJ
fumecheng-1634	70	19	profile	profile	NOUN
fumecheng-1634	70	20	in	in	ADP
fumecheng-1634	70	21	accordance	accordance	NOUN
fumecheng-1634	70	22	to	to	ADP
fumecheng-1634	70	23	[	[	X
fumecheng-1634	70	24	2	2	NUM
fumecheng-1634	70	25	]	]	SYM
fumecheng-1634	70	26	:	:	PUNCT
fumecheng-1634	70	27	x	x	SYM
fumecheng-1634	70	28	2	2	NUM
fumecheng-1634	70	29	2	2	NUM
fumecheng-1634	70	30	0	0	NUM
fumecheng-1634	70	31	f	f	NOUN
fumecheng-1634	70	32	(	(	PUNCT
fumecheng-1634	70	33	r	r	NOUN
fumecheng-1634	70	34	)	)	PUNCT
fumecheng-1634	70	35	g(x	g(x	NOUN
fumecheng-1634	70	36	)	)	PUNCT
fumecheng-1634	71	1	x	x	X
fumecheng-1634	71	2	dr	dr	PROPN
fumecheng-1634	71	3	x	x	SYM
fumecheng-1634	71	4	r	r	NOUN
fumecheng-1634	71	5			CCONJ
fumecheng-1634	71	6			PROPN
fumecheng-1634	71	7			NOUN
fumecheng-1634	71	8			PUNCT
fumecheng-1634	71	9	.	.	PUNCT
fumecheng-1634	72	1	(	(	PUNCT
fumecheng-1634	72	2	7	7	X
fumecheng-1634	72	3	)	)	PUNCT
fumecheng-1634	72	4	the	the	DET
fumecheng-1634	72	5	reverse	reverse	ADJ
fumecheng-1634	72	6	transformation	transformation	NOUN
fumecheng-1634	72	7	is	be	AUX
fumecheng-1634	72	8	:	:	PUNCT
fumecheng-1634	72	9	r	r	NOUN
fumecheng-1634	72	10	2	2	NUM
fumecheng-1634	72	11	2	2	NUM
fumecheng-1634	72	12	0	0	NUM
fumecheng-1634	72	13	2	2	NUM
fumecheng-1634	72	14	g(x	g(x	NOUN
fumecheng-1634	72	15	)	)	PUNCT
fumecheng-1634	73	1	f	f	NOUN
fumecheng-1634	73	2	(	(	PUNCT
fumecheng-1634	73	3	r	r	NOUN
fumecheng-1634	73	4	)	)	PUNCT
fumecheng-1634	73	5	dx	dx	PROPN
fumecheng-1634	74	1	r	r	NOUN
fumecheng-1634	74	2	x	x	PROPN
fumecheng-1634	74	3			NUM
fumecheng-1634	74	4			X
fumecheng-1634	74	5	.	.	PUNCT
fumecheng-1634	75	1	(	(	PUNCT
fumecheng-1634	75	2	8)	8)	NUM
fumecheng-1634	75	3	if	if	SCONJ
fumecheng-1634	75	4	now	now	ADV
fumecheng-1634	75	5	transformed	transform	VERB
fumecheng-1634	75	6	profile	profile	NOUN
fumecheng-1634	75	7	g(x	g(x	NOUN
fumecheng-1634	75	8	)	)	PUNCT
fumecheng-1634	75	9	is	be	AUX
fumecheng-1634	75	10	pressed	press	VERB
fumecheng-1634	75	11	with	with	ADP
fumecheng-1634	75	12	normal	normal	ADJ
fumecheng-1634	75	13	force	force	NOUN
fumecheng-1634	75	14	fn	fn	NOUN
fumecheng-1634	75	15	and	and	CCONJ
fumecheng-1634	75	16	resulting	result	VERB
fumecheng-1634	75	17	indentation	indentation	NOUN
fumecheng-1634	75	18	depth	depth	NOUN
fumecheng-1634	75	19	d	d	NOUN
fumecheng-1634	75	20	into	into	ADP
fumecheng-1634	75	21	the	the	DET
fumecheng-1634	75	22	elastic	elastic	ADJ
fumecheng-1634	75	23	foundation	foundation	NOUN
fumecheng-1634	75	24	,	,	PUNCT
fumecheng-1634	75	25	we	we	PRON
fumecheng-1634	75	26	obtain	obtain	VERB
fumecheng-1634	75	27	the	the	DET
fumecheng-1634	75	28	displacement	displacement	NOUN
fumecheng-1634	75	29	in	in	ADP
fumecheng-1634	75	30	the	the	DET
fumecheng-1634	75	31	contact	contact	NOUN
fumecheng-1634	75	32	area	area	NOUN
fumecheng-1634	75	33	:	:	PUNCT
fumecheng-1634	75	34	zu	zu	X
fumecheng-1634	75	35	(	(	PUNCT
fumecheng-1634	75	36	x	x	X
fumecheng-1634	75	37	)	)	PUNCT
fumecheng-1634	75	38	d	d	PROPN
fumecheng-1634	75	39	g(x)	g(x)	PROPN
fumecheng-1634	75	40			PROPN
fumecheng-1634	75	41	.	.	PUNCT
fumecheng-1634	76	1	(	(	PUNCT
fumecheng-1634	76	2	9	9	X
fumecheng-1634	76	3	)	)	SYM
fumecheng-1634	76	4	162	162	NUM
fumecheng-1634	76	5	a.	a.	NOUN
fumecheng-1634	76	6	kraft	kraft	NOUN
fumecheng-1634	76	7	,	,	PUNCT
fumecheng-1634	76	8	r.	r.	PROPN
fumecheng-1634	76	9	pohrt	pohrt	PROPN
fumecheng-1634	76	10	for	for	ADP
fumecheng-1634	76	11	non	non	ADJ
fumecheng-1634	76	12	-	-	ADJ
fumecheng-1634	76	13	adhesive	adhesive	ADJ
fumecheng-1634	76	14	contacts	contact	NOUN
fumecheng-1634	76	15	we	we	PRON
fumecheng-1634	76	16	can	can	AUX
fumecheng-1634	76	17	set	set	VERB
fumecheng-1634	76	18	:	:	PUNCT
fumecheng-1634	76	19	z	z	NOUN
fumecheng-1634	76	20	a	a	X
fumecheng-1634	76	21	)	)	PUNCT
fumecheng-1634	76	22	0	0	PUNCT
fumecheng-1634	77	1	d	d	NOUN
fumecheng-1634	77	2	(	(	PUNCT
fumecheng-1634	77	3	au	au	ADP
fumecheng-1634	77	4	g	g	PROPN
fumecheng-1634	77	5	(	(	PUNCT
fumecheng-1634	77	6	:	:	PUNCT
fumecheng-1634	77	7	)	)	PUNCT
fumecheng-1634	78	1			PROPN
fumecheng-1634	78	2			NUM
fumecheng-1634	78	3			NOUN
fumecheng-1634	79	1			NOUN
fumecheng-1634	79	2	,	,	PUNCT
fumecheng-1634	79	3	(	(	PUNCT
fumecheng-1634	79	4	10	10	NUM
fumecheng-1634	79	5	)	)	PUNCT
fumecheng-1634	79	6	where	where	SCONJ
fumecheng-1634	79	7	a	a	PRON
fumecheng-1634	79	8	is	be	AUX
fumecheng-1634	79	9	the	the	DET
fumecheng-1634	79	10	contact	contact	NOUN
fumecheng-1634	79	11	radius	radius	NOUN
fumecheng-1634	79	12	.	.	PUNCT
fumecheng-1634	80	1	we	we	PRON
fumecheng-1634	80	2	again	again	ADV
fumecheng-1634	80	3	denote	denote	VERB
fumecheng-1634	80	4	the	the	DET
fumecheng-1634	80	5	length	length	NOUN
fumecheng-1634	80	6	a	a	DET
fumecheng-1634	80	7	the	the	DET
fumecheng-1634	80	8	‘	'	PUNCT
fumecheng-1634	80	9	contact	contact	NOUN
fumecheng-1634	80	10	radius	radius	NOUN
fumecheng-1634	80	11	’	'	PUNCT
fumecheng-1634	80	12	because	because	SCONJ
fumecheng-1634	80	13	following	follow	VERB
fumecheng-1634	80	14	the	the	DET
fumecheng-1634	80	15	theorems	theorem	NOUN
fumecheng-1634	80	16	of	of	ADP
fumecheng-1634	80	17	mdr	mdr	PROPN
fumecheng-1634	80	18	,	,	PUNCT
fumecheng-1634	80	19	all	all	DET
fumecheng-1634	80	20	the	the	DET
fumecheng-1634	80	21	lengths	length	NOUN
fumecheng-1634	80	22	in	in	ADP
fumecheng-1634	80	23	the	the	DET
fumecheng-1634	80	24	model	model	NOUN
fumecheng-1634	80	25	are	be	AUX
fumecheng-1634	80	26	equal	equal	ADJ
fumecheng-1634	80	27	to	to	ADP
fumecheng-1634	80	28	the	the	DET
fumecheng-1634	80	29	respective	respective	ADJ
fumecheng-1634	80	30	ones	one	NOUN
fumecheng-1634	80	31	in	in	ADP
fumecheng-1634	80	32	a	a	DET
fumecheng-1634	80	33	three	three	NUM
fumecheng-1634	80	34	-	-	PUNCT
fumecheng-1634	80	35	dimensional	dimensional	ADJ
fumecheng-1634	80	36	problem	problem	NOUN
fumecheng-1634	80	37	.	.	PUNCT
fumecheng-1634	81	1	the	the	DET
fumecheng-1634	81	2	same	same	ADJ
fumecheng-1634	81	3	applies	apply	VERB
fumecheng-1634	81	4	to	to	ADP
fumecheng-1634	81	5	the	the	DET
fumecheng-1634	81	6	contact	contact	NOUN
fumecheng-1634	81	7	area	area	NOUN
fumecheng-1634	81	8	.	.	PUNCT
fumecheng-1634	82	1	the	the	DET
fumecheng-1634	82	2	force	force	NOUN
fumecheng-1634	82	3	of	of	ADP
fumecheng-1634	82	4	a	a	DET
fumecheng-1634	82	5	spring	spring	NOUN
fumecheng-1634	82	6	at	at	ADP
fumecheng-1634	82	7	point	point	NOUN
fumecheng-1634	82	8	x	x	X
fumecheng-1634	82	9	inside	inside	ADP
fumecheng-1634	82	10	the	the	DET
fumecheng-1634	82	11	contact	contact	NOUN
fumecheng-1634	82	12	area	area	NOUN
fumecheng-1634	82	13	equals	equal	VERB
fumecheng-1634	82	14	:	:	PUNCT
fumecheng-1634	82	15	z	z	NOUN
fumecheng-1634	82	16	z	z	NOUN
fumecheng-1634	82	17	z	z	NOUN
fumecheng-1634	82	18	z(x	z(x	PROPN
fumecheng-1634	82	19	)	)	PUNCT
fumecheng-1634	82	20	u	u	NOUN
fumecheng-1634	82	21	(	(	PUNCT
fumecheng-1634	82	22	x	x	NOUN
fumecheng-1634	82	23	)	)	PUNCT
fumecheng-1634	82	24	e*u	e*u	PROPN
fumecheng-1634	82	25	(	(	PUNCT
fumecheng-1634	82	26	xf	xf	PROPN
fumecheng-1634	82	27	k	k	PROPN
fumecheng-1634	82	28	x.)	x.)	PROPN
fumecheng-1634	82	29			NOUN
fumecheng-1634	82	30			PROPN
fumecheng-1634	82	31	(	(	PUNCT
fumecheng-1634	82	32	11	11	NUM
fumecheng-1634	82	33	)	)	PUNCT
fumecheng-1634	82	34	if	if	SCONJ
fumecheng-1634	82	35	we	we	PRON
fumecheng-1634	82	36	choose	choose	VERB
fumecheng-1634	82	37	the	the	DET
fumecheng-1634	82	38	spring	spring	NOUN
fumecheng-1634	82	39	separation	separation	NOUN
fumecheng-1634	82	40	distance	distance	NOUN
fumecheng-1634	82	41	to	to	PART
fumecheng-1634	82	42	be	be	AUX
fumecheng-1634	82	43	infinitesimal	infinitesimal	ADJ
fumecheng-1634	82	44	,	,	PUNCT
fumecheng-1634	82	45	we	we	PRON
fumecheng-1634	82	46	get	get	VERB
fumecheng-1634	82	47	for	for	ADP
fumecheng-1634	82	48	the	the	DET
fumecheng-1634	82	49	normal	normal	ADJ
fumecheng-1634	82	50	force	force	NOUN
fumecheng-1634	82	51	:	:	PUNCT
fumecheng-1634	82	52	*	*	PUNCT
fumecheng-1634	82	53	a	a	DET
fumecheng-1634	82	54	a	a	DET
fumecheng-1634	82	55	a	a	DET
fumecheng-1634	82	56	0	0	NUM
fumecheng-1634	82	57	*	*	PUNCT
fumecheng-1634	82	58	n	n	PART
fumecheng-1634	82	59	zf	zf	PROPN
fumecheng-1634	82	60	:	:	PUNCT
fumecheng-1634	82	61	e	e	X
fumecheng-1634	82	62	u	u	NOUN
fumecheng-1634	82	63	(	(	PUNCT
fumecheng-1634	82	64	x)dx	x)dx	PROPN
fumecheng-1634	82	65	2e	2e	PROPN
fumecheng-1634	82	66	(	(	PUNCT
fumecheng-1634	82	67	d	d	NOUN
fumecheng-1634	82	68	g(x))dx	g(x))dx	VERB
fumecheng-1634	82	69	.	.	PUNCT
fumecheng-1634	83	1			NOUN
fumecheng-1634	83	2			PROPN
fumecheng-1634	83	3			PROPN
fumecheng-1634	83	4			NOUN
fumecheng-1634	83	5			PUNCT
fumecheng-1634	83	6	(	(	PUNCT
fumecheng-1634	83	7	12	12	NUM
fumecheng-1634	83	8	)	)	PUNCT
fumecheng-1634	83	9	after	after	ADP
fumecheng-1634	83	10	bringing	bring	VERB
fumecheng-1634	83	11	the	the	DET
fumecheng-1634	83	12	elastic	elastic	ADJ
fumecheng-1634	83	13	bodies	body	NOUN
fumecheng-1634	83	14	in	in	ADP
fumecheng-1634	83	15	normal	normal	ADJ
fumecheng-1634	83	16	contact	contact	NOUN
fumecheng-1634	83	17	with	with	ADP
fumecheng-1634	83	18	force	force	NOUN
fumecheng-1634	83	19	fn	fn	NOUN
fumecheng-1634	83	20	,	,	PUNCT
fumecheng-1634	83	21	we	we	PRON
fumecheng-1634	83	22	apply	apply	VERB
fumecheng-1634	83	23	tangential	tangential	ADJ
fumecheng-1634	83	24	movement	movement	NOUN
fumecheng-1634	83	25	ux	ux	PROPN
fumecheng-1634	83	26	(	(	PUNCT
fumecheng-1634	83	27	0	0	NUM
fumecheng-1634	83	28	)	)	PUNCT
fumecheng-1634	83	29	to	to	ADP
fumecheng-1634	83	30	the	the	DET
fumecheng-1634	83	31	indenter	indenter	NOUN
fumecheng-1634	83	32	and	and	CCONJ
fumecheng-1634	83	33	assume	assume	VERB
fumecheng-1634	83	34	that	that	SCONJ
fumecheng-1634	83	35	coulomb	coulomb	NOUN
fumecheng-1634	83	36	's	's	PART
fumecheng-1634	83	37	law	law	NOUN
fumecheng-1634	83	38	of	of	ADP
fumecheng-1634	83	39	friction	friction	NOUN
fumecheng-1634	83	40	is	be	AUX
fumecheng-1634	83	41	valid	valid	ADJ
fumecheng-1634	83	42	following	follow	VERB
fumecheng-1634	83	43	:	:	PUNCT
fumecheng-1634	83	44	(	(	PUNCT
fumecheng-1634	83	45	r	r	NOUN
fumecheng-1634	83	46	)	)	PUNCT
fumecheng-1634	83	47	p(r	p(r	PROPN
fumecheng-1634	83	48	)	)	PUNCT
fumecheng-1634	83	49	for	for	ADP
fumecheng-1634	83	50	stick	stick	NOUN
fumecheng-1634	83	51	,	,	PUNCT
fumecheng-1634	83	52			NOUN
fumecheng-1634	83	53			NOUN
fumecheng-1634	83	54	(	(	PUNCT
fumecheng-1634	83	55	13	13	NUM
fumecheng-1634	83	56	)	)	PUNCT
fumecheng-1634	83	57	(	(	PUNCT
fumecheng-1634	83	58	r	r	NOUN
fumecheng-1634	83	59	)	)	PUNCT
fumecheng-1634	83	60	p(r	p(r	PROPN
fumecheng-1634	83	61	)	)	PUNCT
fumecheng-1634	83	62	for	for	ADP
fumecheng-1634	83	63	slip.	slip.	NOUN
fumecheng-1634	83	64			PROPN
fumecheng-1634	83	65	(	(	PUNCT
fumecheng-1634	83	66	14	14	NUM
fumecheng-1634	83	67	)	)	PUNCT
fumecheng-1634	83	68	now	now	ADV
fumecheng-1634	83	69	every	every	DET
fumecheng-1634	83	70	spring	spring	NOUN
fumecheng-1634	83	71	sticks	stick	NOUN
fumecheng-1634	83	72	to	to	ADP
fumecheng-1634	83	73	the	the	DET
fumecheng-1634	83	74	indenter	indenter	NOUN
fumecheng-1634	83	75	as	as	ADV
fumecheng-1634	83	76	long	long	ADV
fumecheng-1634	83	77	as	as	ADP
fumecheng-1634	83	78	δfx	δfx	PROPN
fumecheng-1634	83	79	=	=	NOUN
fumecheng-1634	83	80	δkx	δkx	NOUN
fumecheng-1634	83	81	ux	ux	PROPN
fumecheng-1634	83	82	(	(	PUNCT
fumecheng-1634	83	83	0	0	NUM
fumecheng-1634	83	84	)	)	PUNCT
fumecheng-1634	83	85	<	<	X
fumecheng-1634	84	1	μ	μ	NOUN
fumecheng-1634	84	2	δfz	δfz	VERB
fumecheng-1634	84	3	.	.	PUNCT
fumecheng-1634	85	1	this	this	DET
fumecheng-1634	85	2	results	result	NOUN
fumecheng-1634	85	3	in	in	ADP
fumecheng-1634	85	4	the	the	DET
fumecheng-1634	85	5	following	following	ADJ
fumecheng-1634	85	6	conditions	condition	NOUN
fumecheng-1634	85	7	:	:	PUNCT
fumecheng-1634	85	8	(	(	PUNCT
fumecheng-1634	85	9	0	0	X
fumecheng-1634	85	10	)	)	PUNCT
fumecheng-1634	85	11	x	x	X
fumecheng-1634	86	1	x	x	PUNCT
fumecheng-1634	86	2	x	x	PUNCT
fumecheng-1634	86	3	x	x	X
fumecheng-1634	86	4	z	z	NOUN
fumecheng-1634	86	5	z	z	NOUN
fumecheng-1634	86	6	z	z	NOUN
fumecheng-1634	86	7	z	z	NOUN
fumecheng-1634	86	8	x	x	SYM
fumecheng-1634	86	9	(	(	PUNCT
fumecheng-1634	86	10	x	x	NOUN
fumecheng-1634	86	11	)	)	PUNCT
fumecheng-1634	86	12	,	,	PUNCT
fumecheng-1634	86	13	if	if	SCONJ
fumecheng-1634	86	14	k	k	PROPN
fumecheng-1634	86	15	u	u	PROPN
fumecheng-1634	86	16	(	(	PUNCT
fumecheng-1634	86	17	x	x	NOUN
fumecheng-1634	86	18	)	)	PUNCT
fumecheng-1634	86	19	u	u	NOUN
fumecheng-1634	86	20	(	(	PUNCT
fumecheng-1634	86	21	x	x	X
fumecheng-1634	86	22	)	)	PUNCT
fumecheng-1634	86	23	(	(	PUNCT
fumecheng-1634	86	24	x	x	X
fumecheng-1634	86	25	)	)	PUNCT
fumecheng-1634	86	26	u	u	NOUN
fumecheng-1634	86	27	u	u	NOUN
fumecheng-1634	86	28	f	f	PROPN
fumecheng-1634	86	29	k	k	PROPN
fumecheng-1634	86	30	f	f	PROPN
fumecheng-1634	86	31	u	u	PROPN
fumecheng-1634	86	32	,	,	PUNCT
fumecheng-1634	86	33	k	k	PROPN
fumecheng-1634	86	34	(	(	PUNCT
fumecheng-1634	86	35	x	x	X
fumecheng-1634	86	36	)	)	PUNCT
fumecheng-1634	86	37	in	in	ADP
fumecheng-1634	86	38	a	a	DET
fumecheng-1634	86	39	state	state	NOUN
fumecheng-1634	86	40	of	of	ADP
fumecheng-1634	86	41	slip	slip	NOUN
fumecheng-1634	86	42	.	.	PUNCT
fumecheng-1634	87	1			NUM
fumecheng-1634	87	2			PROPN
fumecheng-1634	87	3			NOUN
fumecheng-1634	87	4			PROPN
fumecheng-1634	87	5			PROPN
fumecheng-1634	87	6			PROPN
fumecheng-1634	87	7			PROPN
fumecheng-1634	87	8			X
fumecheng-1634	87	9	(	(	PUNCT
fumecheng-1634	87	10	15	15	NUM
fumecheng-1634	87	11	)	)	PUNCT
fumecheng-1634	87	12	where	where	SCONJ
fumecheng-1634	87	13	ux(x	ux(x	NOUN
fumecheng-1634	87	14	)	)	PUNCT
fumecheng-1634	87	15	denotes	denote	NOUN
fumecheng-1634	87	16	here	here	ADV
fumecheng-1634	87	17	the	the	DET
fumecheng-1634	87	18	horizontal	horizontal	ADJ
fumecheng-1634	87	19	displacement	displacement	NOUN
fumecheng-1634	87	20	of	of	ADP
fumecheng-1634	87	21	a	a	DET
fumecheng-1634	87	22	spring	spring	NOUN
fumecheng-1634	87	23	at	at	ADP
fumecheng-1634	87	24	point	point	NOUN
fumecheng-1634	87	25	x.	x.	PUNCT
fumecheng-1634	88	1	the	the	DET
fumecheng-1634	88	2	sign	sign	NOUN
fumecheng-1634	88	3	of	of	ADP
fumecheng-1634	88	4	the	the	DET
fumecheng-1634	88	5	second	second	ADJ
fumecheng-1634	88	6	equation	equation	NOUN
fumecheng-1634	88	7	depends	depend	VERB
fumecheng-1634	88	8	on	on	ADP
fumecheng-1634	88	9	the	the	DET
fumecheng-1634	88	10	direction	direction	NOUN
fumecheng-1634	88	11	of	of	ADP
fumecheng-1634	88	12	the	the	DET
fumecheng-1634	88	13	indenter	indenter	PROPN
fumecheng-1634	88	14	motion	motion	NOUN
fumecheng-1634	88	15	.	.	PUNCT
fumecheng-1634	89	1	we	we	PRON
fumecheng-1634	89	2	denote	denote	VERB
fumecheng-1634	89	3	the	the	DET
fumecheng-1634	89	4	radius	radius	NOUN
fumecheng-1634	89	5	of	of	ADP
fumecheng-1634	89	6	the	the	DET
fumecheng-1634	89	7	stick	stick	NOUN
fumecheng-1634	89	8	-	-	PUNCT
fumecheng-1634	89	9	area	area	NOUN
fumecheng-1634	89	10	by	by	ADP
fumecheng-1634	89	11	c	c	PROPN
fumecheng-1634	89	12	and	and	CCONJ
fumecheng-1634	89	13	find	find	VERB
fumecheng-1634	89	14	:	:	PUNCT
fumecheng-1634	89	15	*	*	PUNCT
fumecheng-1634	89	16	*	*	PUNCT
fumecheng-1634	89	17	)	)	PUNCT
fumecheng-1634	89	18	x	x	X
fumecheng-1634	89	19	(	(	PUNCT
fumecheng-1634	89	20	0	0	NUM
fumecheng-1634	89	21	e	e	NOUN
fumecheng-1634	89	22	(	(	PUNCT
fumecheng-1634	89	23	d	d	X
fumecheng-1634	89	24	g(g	g(g	PROPN
fumecheng-1634	89	25	)	)	PUNCT
fumecheng-1634	89	26	)	)	PUNCT
fumecheng-1634	89	27	.u	.u	PROPN
fumecheng-1634	89	28	c	c	ADJ
fumecheng-1634	89	29			NOUN
fumecheng-1634	89	30	,	,	PUNCT
fumecheng-1634	89	31	(	(	PUNCT
fumecheng-1634	89	32	16	16	NUM
fumecheng-1634	89	33	)	)	PUNCT
fumecheng-1634	89	34	for	for	ADP
fumecheng-1634	89	35	which	which	PRON
fumecheng-1634	89	36	the	the	DET
fumecheng-1634	89	37	whole	whole	ADJ
fumecheng-1634	89	38	contact	contact	NOUN
fumecheng-1634	89	39	area	area	NOUN
fumecheng-1634	89	40	is	be	AUX
fumecheng-1634	89	41	in	in	ADP
fumecheng-1634	89	42	slip	slip	NOUN
fumecheng-1634	89	43	state	state	NOUN
fumecheng-1634	89	44	.	.	PUNCT
fumecheng-1634	90	1	similarly	similarly	ADV
fumecheng-1634	90	2	to	to	ADP
fumecheng-1634	90	3	the	the	DET
fumecheng-1634	90	4	normal	normal	ADJ
fumecheng-1634	90	5	contact	contact	NOUN
fumecheng-1634	90	6	,	,	PUNCT
fumecheng-1634	90	7	the	the	DET
fumecheng-1634	90	8	force	force	NOUN
fumecheng-1634	90	9	of	of	ADP
fumecheng-1634	90	10	a	a	DET
fumecheng-1634	90	11	spring	spring	NOUN
fumecheng-1634	90	12	at	at	ADP
fumecheng-1634	90	13	point	point	NOUN
fumecheng-1634	90	14	x	x	X
fumecheng-1634	90	15	inside	inside	ADP
fumecheng-1634	90	16	the	the	DET
fumecheng-1634	90	17	contact	contact	NOUN
fumecheng-1634	90	18	area	area	NOUN
fumecheng-1634	90	19	equals	equal	VERB
fumecheng-1634	90	20	:	:	PUNCT
fumecheng-1634	90	21	*	*	NOUN
fumecheng-1634	90	22	xx	xx	NUM
fumecheng-1634	90	23	xx(x	xx(x	NOUN
fumecheng-1634	90	24	)	)	PUNCT
fumecheng-1634	90	25	u	u	NOUN
fumecheng-1634	90	26	(	(	PUNCT
fumecheng-1634	90	27	x	x	NOUN
fumecheng-1634	90	28	)	)	PUNCT
fumecheng-1634	90	29	g	g	NOUN
fumecheng-1634	90	30	u	u	PROPN
fumecheng-1634	90	31	(	(	PUNCT
fumecheng-1634	90	32	x)f	x)f	X
fumecheng-1634	90	33	k	k	X
fumecheng-1634	90	34	x	x	PROPN
fumecheng-1634	90	35			NOUN
fumecheng-1634	90	36			NOUN
fumecheng-1634	90	37			X
fumecheng-1634	90	38	.	.	PUNCT
fumecheng-1634	91	1	(	(	PUNCT
fumecheng-1634	91	2	17	17	NUM
fumecheng-1634	91	3	)	)	PUNCT
fumecheng-1634	91	4	if	if	SCONJ
fumecheng-1634	91	5	we	we	PRON
fumecheng-1634	91	6	choose	choose	VERB
fumecheng-1634	91	7	the	the	DET
fumecheng-1634	91	8	spring	spring	NOUN
fumecheng-1634	91	9	separation	separation	NOUN
fumecheng-1634	91	10	distance	distance	NOUN
fumecheng-1634	91	11	to	to	PART
fumecheng-1634	91	12	be	be	AUX
fumecheng-1634	91	13	infinitesimal	infinitesimal	ADJ
fumecheng-1634	91	14	,	,	PUNCT
fumecheng-1634	91	15	we	we	PRON
fumecheng-1634	91	16	get	get	VERB
fumecheng-1634	91	17	for	for	ADP
fumecheng-1634	91	18	the	the	DET
fumecheng-1634	91	19	tangential	tangential	ADJ
fumecheng-1634	91	20	force	force	NOUN
fumecheng-1634	91	21	:	:	PUNCT
fumecheng-1634	91	22	*	*	PUNCT
fumecheng-1634	91	23	a	a	X
fumecheng-1634	91	24	x	x	X
fumecheng-1634	91	25	x	x	X
fumecheng-1634	91	26	a	a	DET
fumecheng-1634	91	27	f	f	NOUN
fumecheng-1634	91	28	g	g	PROPN
fumecheng-1634	91	29	u	u	PROPN
fumecheng-1634	91	30	(	(	PUNCT
fumecheng-1634	91	31	x)dx	x)dx	PROPN
fumecheng-1634	91	32	.	.	PUNCT
fumecheng-1634	92	1			NOUN
fumecheng-1634	92	2			PRON
fumecheng-1634	92	3			X
fumecheng-1634	92	4	(	(	PUNCT
fumecheng-1634	92	5	18	18	NUM
fumecheng-1634	92	6	)	)	PUNCT
fumecheng-1634	92	7	reduction	reduction	NOUN
fumecheng-1634	92	8	of	of	ADP
fumecheng-1634	92	9	residual	residual	ADJ
fumecheng-1634	92	10	shear	shear	NOUN
fumecheng-1634	92	11	stress	stress	NOUN
fumecheng-1634	92	12	in	in	ADP
fumecheng-1634	92	13	the	the	DET
fumecheng-1634	92	14	loaded	load	VERB
fumecheng-1634	92	15	contact	contact	NOUN
fumecheng-1634	92	16	using	use	VERB
fumecheng-1634	92	17	friction	friction	NOUN
fumecheng-1634	92	18	hysteresis	hysteresis	NOUN
fumecheng-1634	92	19	163	163	NUM
fumecheng-1634	92	20	the	the	DET
fumecheng-1634	92	21	distribution	distribution	NOUN
fumecheng-1634	92	22	of	of	ADP
fumecheng-1634	92	23	tangential	tangential	ADJ
fumecheng-1634	92	24	stress	stress	NOUN
fumecheng-1634	92	25	in	in	ADP
fumecheng-1634	92	26	the	the	DET
fumecheng-1634	92	27	original	original	ADJ
fumecheng-1634	92	28	three	three	NUM
fumecheng-1634	92	29	-	-	PUNCT
fumecheng-1634	92	30	dimensional	dimensional	ADJ
fumecheng-1634	92	31	contact	contact	NOUN
fumecheng-1634	92	32	can	can	AUX
fumecheng-1634	92	33	be	be	AUX
fumecheng-1634	92	34	calculated	calculate	VERB
fumecheng-1634	92	35	according	accord	VERB
fumecheng-1634	92	36	to	to	ADP
fumecheng-1634	92	37	[	[	X
fumecheng-1634	92	38	2	2	NUM
fumecheng-1634	92	39	]	]	NUM
fumecheng-1634	92	40	:	:	PUNCT
fumecheng-1634	92	41			PUNCT
fumecheng-1634	92	42			VERB
fumecheng-1634	92	43			PROPN
fumecheng-1634	93	1			CCONJ
fumecheng-1634	93	2			PROPN
fumecheng-1634	93	3			PROPN
fumecheng-1634	93	4	r	r	NOUN
fumecheng-1634	93	5	22	22	NUM
fumecheng-1634	93	6	x	x	SYM
fumecheng-1634	93	7	*	*	PUNCT
fumecheng-1634	93	8	zr	zr	NUM
fumecheng-1634	93	9	dx	dx	PROPN
fumecheng-1634	93	10	rx	rx	X
fumecheng-1634	93	11	)	)	PUNCT
fumecheng-1634	93	12	x(ug	x(ug	PROPN
fumecheng-1634	93	13	)	)	PUNCT
fumecheng-1634	94	1	r	r	X
fumecheng-1634	94	2	(	(	PUNCT
fumecheng-1634	94	3	.	.	PUNCT
fumecheng-1634	95	1	(	(	PUNCT
fumecheng-1634	95	2	19	19	NUM
fumecheng-1634	95	3	)	)	PUNCT
fumecheng-1634	95	4	for	for	ADP
fumecheng-1634	95	5	our	our	PRON
fumecheng-1634	95	6	problem	problem	NOUN
fumecheng-1634	95	7	,	,	PUNCT
fumecheng-1634	95	8	we	we	PRON
fumecheng-1634	95	9	choose	choose	VERB
fumecheng-1634	95	10	the	the	DET
fumecheng-1634	95	11	classical	classical	ADJ
fumecheng-1634	95	12	contact	contact	NOUN
fumecheng-1634	95	13	between	between	ADP
fumecheng-1634	95	14	a	a	DET
fumecheng-1634	95	15	sphere	sphere	NOUN
fumecheng-1634	95	16	with	with	ADP
fumecheng-1634	95	17	radius	radius	NOUN
fumecheng-1634	95	18	r	r	NOUN
fumecheng-1634	95	19	and	and	CCONJ
fumecheng-1634	95	20	a	a	DET
fumecheng-1634	95	21	plane	plane	NOUN
fumecheng-1634	95	22	.	.	PUNCT
fumecheng-1634	96	1	the	the	DET
fumecheng-1634	96	2	modified	modify	VERB
fumecheng-1634	96	3	profile	profile	NOUN
fumecheng-1634	96	4	of	of	ADP
fumecheng-1634	96	5	z	z	NOUN
fumecheng-1634	96	6	=	=	NOUN
fumecheng-1634	96	7	f(r)=r	f(r)=r	ADJ
fumecheng-1634	96	8	2	2	NUM
fumecheng-1634	96	9	/2r	/2r	PUNCT
fumecheng-1634	96	10	is	be	AUX
fumecheng-1634	96	11	g(x)=x	g(x)=x	PROPN
fumecheng-1634	96	12	2	2	NUM
fumecheng-1634	96	13	/r	/r	NOUN
fumecheng-1634	96	14	.	.	PUNCT
fumecheng-1634	97	1	normal	normal	ADJ
fumecheng-1634	97	2	and	and	CCONJ
fumecheng-1634	97	3	tangential	tangential	ADJ
fumecheng-1634	97	4	stiffness	stiffness	NOUN
fumecheng-1634	97	5	follow	follow	NOUN
fumecheng-1634	97	6	eqs	eqs	X
fumecheng-1634	97	7	.	.	PUNCT
fumecheng-1634	98	1	(	(	PUNCT
fumecheng-1634	98	2	5	5	NUM
fumecheng-1634	98	3	)	)	PUNCT
fumecheng-1634	98	4	and	and	CCONJ
fumecheng-1634	98	5	(	(	PUNCT
fumecheng-1634	98	6	6	6	NUM
fumecheng-1634	98	7	)	)	PUNCT
fumecheng-1634	98	8	.	.	PUNCT
fumecheng-1634	99	1	with	with	ADP
fumecheng-1634	99	2	a	a	DET
fumecheng-1634	99	3	given	give	VERB
fumecheng-1634	99	4	indentation	indentation	NOUN
fumecheng-1634	99	5	depth	depth	NOUN
fumecheng-1634	99	6	d	d	NOUN
fumecheng-1634	99	7	,	,	PUNCT
fumecheng-1634	99	8	we	we	PRON
fumecheng-1634	99	9	calculate	calculate	VERB
fumecheng-1634	99	10	contact	contact	NOUN
fumecheng-1634	99	11	radius	radius	NOUN
fumecheng-1634	99	12	a	a	PRON
fumecheng-1634	99	13	according	accord	VERB
fumecheng-1634	99	14	to	to	ADP
fumecheng-1634	99	15	eq	eq	PROPN
fumecheng-1634	99	16	.	.	PUNCT
fumecheng-1634	100	1	(	(	PUNCT
fumecheng-1634	100	2	10	10	NUM
fumecheng-1634	100	3	)	)	PUNCT
fumecheng-1634	100	4	.	.	PUNCT
fumecheng-1634	101	1	the	the	DET
fumecheng-1634	101	2	length	length	NOUN
fumecheng-1634	101	3	of	of	ADP
fumecheng-1634	101	4	the	the	DET
fumecheng-1634	101	5	elastic	elastic	ADJ
fumecheng-1634	101	6	foundation	foundation	NOUN
fumecheng-1634	101	7	is	be	AUX
fumecheng-1634	101	8	set	set	VERB
fumecheng-1634	101	9	to	to	ADP
fumecheng-1634	101	10	2a	2a	NUM
fumecheng-1634	101	11	and	and	CCONJ
fumecheng-1634	101	12	consists	consist	VERB
fumecheng-1634	101	13	of	of	ADP
fumecheng-1634	101	14	ns	ns	ADJ
fumecheng-1634	101	15	springs	spring	NOUN
fumecheng-1634	101	16	.	.	PUNCT
fumecheng-1634	102	1	distance	distance	NOUN
fumecheng-1634	102	2	δx	δx	NOUN
fumecheng-1634	102	3	between	between	ADP
fumecheng-1634	102	4	two	two	NUM
fumecheng-1634	102	5	adjacent	adjacent	ADJ
fumecheng-1634	102	6	springs	spring	NOUN
fumecheng-1634	102	7	is	be	AUX
fumecheng-1634	102	8	2a	2a	NUM
fumecheng-1634	102	9	/	/	SYM
fumecheng-1634	102	10	ns	ns	NUM
fumecheng-1634	102	11	.	.	PUNCT
fumecheng-1634	103	1	the	the	DET
fumecheng-1634	103	2	normal	normal	ADJ
fumecheng-1634	103	3	displacement	displacement	NOUN
fumecheng-1634	103	4	is	be	AUX
fumecheng-1634	103	5	uz(x)=d	uz(x)=d	NOUN
fumecheng-1634	103	6	-	-	PUNCT
fumecheng-1634	103	7	g(x)=d	g(x)=d	NOUN
fumecheng-1634	103	8	-	-	PUNCT
fumecheng-1634	103	9	x	x	SYM
fumecheng-1634	103	10	2	2	NUM
fumecheng-1634	103	11	/r	/r	NOUN
fumecheng-1634	103	12	.	.	PUNCT
fumecheng-1634	104	1	for	for	ADP
fumecheng-1634	104	2	the	the	DET
fumecheng-1634	104	3	normal	normal	ADJ
fumecheng-1634	104	4	force	force	NOUN
fumecheng-1634	104	5	,	,	PUNCT
fumecheng-1634	104	6	we	we	PRON
fumecheng-1634	104	7	get	get	VERB
fumecheng-1634	104	8	sn	sn	PROPN
fumecheng-1634	104	9	n	n	CCONJ
fumecheng-1634	104	10	k	k	PROPN
fumecheng-1634	104	11	1	1	NUM
fumecheng-1634	104	12	zf	zf	PROPN
fumecheng-1634	104	13	2	2	NUM
fumecheng-1634	104	14	u	u	NOUN
fumecheng-1634	104	15	(	(	PUNCT
fumecheng-1634	104	16	k)e	k)e	NOUN
fumecheng-1634	104	17	x	x	X
fumecheng-1634	104	18	*	*	PUNCT
fumecheng-1634	104	19			NUM
fumecheng-1634	104	20			PROPN
fumecheng-1634	104	21			X
fumecheng-1634	104	22	.	.	PUNCT
fumecheng-1634	105	1	with	with	ADP
fumecheng-1634	105	2	a	a	DET
fumecheng-1634	105	3	given	give	VERB
fumecheng-1634	105	4	indenter	indenter	NOUN
fumecheng-1634	105	5	displacement	displacement	NOUN
fumecheng-1634	105	6	ux	ux	PROPN
fumecheng-1634	105	7	(	(	PUNCT
fumecheng-1634	105	8	0	0	NUM
fumecheng-1634	105	9	)	)	PUNCT
fumecheng-1634	105	10	,	,	PUNCT
fumecheng-1634	105	11	we	we	PRON
fumecheng-1634	105	12	first	first	ADV
fumecheng-1634	105	13	assume	assume	VERB
fumecheng-1634	105	14	that	that	SCONJ
fumecheng-1634	105	15	every	every	DET
fumecheng-1634	105	16	spring	spring	NOUN
fumecheng-1634	105	17	sticks	stick	NOUN
fumecheng-1634	105	18	.	.	PUNCT
fumecheng-1634	106	1	next	next	ADV
fumecheng-1634	106	2	,	,	PUNCT
fumecheng-1634	106	3	we	we	PRON
fumecheng-1634	106	4	check	check	VERB
fumecheng-1634	106	5	if	if	SCONJ
fumecheng-1634	106	6	tangential	tangential	ADJ
fumecheng-1634	106	7	spring	spring	NOUN
fumecheng-1634	106	8	force	force	NOUN
fumecheng-1634	106	9	is	be	AUX
fumecheng-1634	106	10	exceeding	exceed	VERB
fumecheng-1634	106	11	the	the	DET
fumecheng-1634	106	12	maximum	maximum	ADJ
fumecheng-1634	106	13	tangential	tangential	ADJ
fumecheng-1634	106	14	force	force	NOUN
fumecheng-1634	106	15	according	accord	VERB
fumecheng-1634	106	16	to	to	ADP
fumecheng-1634	106	17	the	the	DET
fumecheng-1634	106	18	first	first	ADJ
fumecheng-1634	106	19	part	part	NOUN
fumecheng-1634	106	20	in	in	ADP
fumecheng-1634	106	21	eq	eq	ADP
fumecheng-1634	106	22	.	.	PUNCT
fumecheng-1634	107	1	(	(	PUNCT
fumecheng-1634	107	2	15	15	NUM
fumecheng-1634	107	3	)	)	PUNCT
fumecheng-1634	107	4	and	and	CCONJ
fumecheng-1634	107	5	where	where	SCONJ
fumecheng-1634	107	6	required	require	VERB
fumecheng-1634	107	7	,	,	PUNCT
fumecheng-1634	107	8	we	we	PRON
fumecheng-1634	107	9	adjust	adjust	VERB
fumecheng-1634	107	10	the	the	DET
fumecheng-1634	107	11	displacement	displacement	NOUN
fumecheng-1634	107	12	.	.	PUNCT
fumecheng-1634	108	1	for	for	ADP
fumecheng-1634	108	2	the	the	DET
fumecheng-1634	108	3	tangential	tangential	ADJ
fumecheng-1634	108	4	force	force	NOUN
fumecheng-1634	108	5	,	,	PUNCT
fumecheng-1634	108	6	we	we	PRON
fumecheng-1634	108	7	get	get	VERB
fumecheng-1634	108	8			PROPN
fumecheng-1634	109	1			NUM
fumecheng-1634	109	2			PROPN
fumecheng-1634	109	3	sn	sn	PROPN
fumecheng-1634	109	4	1k	1k	NUM
fumecheng-1634	109	5	*	*	PUNCT
fumecheng-1634	109	6	xx	xx	NUM
fumecheng-1634	109	7	xg)k(u2f	xg)k(u2f	NUM
fumecheng-1634	109	8	.	.	PUNCT
fumecheng-1634	110	1	3	3	X
fumecheng-1634	110	2	.	.	X
fumecheng-1634	110	3	reduction	reduction	NOUN
fumecheng-1634	110	4	of	of	ADP
fumecheng-1634	110	5	residual	residual	ADJ
fumecheng-1634	110	6	shear	shear	NOUN
fumecheng-1634	110	7	stress	stress	NOUN
fumecheng-1634	110	8	magnitude	magnitude	NOUN
fumecheng-1634	110	9	we	we	PRON
fumecheng-1634	110	10	push	push	VERB
fumecheng-1634	110	11	a	a	DET
fumecheng-1634	110	12	spherical	spherical	ADJ
fumecheng-1634	110	13	indenter	indenter	NOUN
fumecheng-1634	110	14	into	into	ADP
fumecheng-1634	110	15	an	an	DET
fumecheng-1634	110	16	elastic	elastic	ADJ
fumecheng-1634	110	17	plane	plane	NOUN
fumecheng-1634	110	18	and	and	CCONJ
fumecheng-1634	110	19	drag	drag	VERB
fumecheng-1634	110	20	it	it	PRON
fumecheng-1634	110	21	horizontally	horizontally	ADV
fumecheng-1634	110	22	.	.	PUNCT
fumecheng-1634	111	1	if	if	SCONJ
fumecheng-1634	111	2	we	we	PRON
fumecheng-1634	111	3	drag	drag	VERB
fumecheng-1634	111	4	it	it	PRON
fumecheng-1634	111	5	not	not	PART
fumecheng-1634	111	6	too	too	ADV
fumecheng-1634	111	7	far	far	ADV
fumecheng-1634	111	8	to	to	ADP
fumecheng-1634	111	9	one	one	NUM
fumecheng-1634	111	10	side	side	NOUN
fumecheng-1634	111	11	,	,	PUNCT
fumecheng-1634	111	12	our	our	PRON
fumecheng-1634	111	13	contact	contact	NOUN
fumecheng-1634	111	14	area	area	NOUN
fumecheng-1634	111	15	will	will	AUX
fumecheng-1634	111	16	be	be	AUX
fumecheng-1634	111	17	divided	divide	VERB
fumecheng-1634	111	18	in	in	ADP
fumecheng-1634	111	19	a	a	DET
fumecheng-1634	111	20	stick	stick	NOUN
fumecheng-1634	111	21	-	-	PUNCT
fumecheng-1634	111	22	area	area	NOUN
fumecheng-1634	111	23	in	in	ADP
fumecheng-1634	111	24	the	the	DET
fumecheng-1634	111	25	center	center	NOUN
fumecheng-1634	111	26	and	and	CCONJ
fumecheng-1634	111	27	a	a	DET
fumecheng-1634	111	28	slip	slip	NOUN
fumecheng-1634	111	29	-	-	PUNCT
fumecheng-1634	111	30	area	area	NOUN
fumecheng-1634	111	31	on	on	ADP
fumecheng-1634	111	32	the	the	DET
fumecheng-1634	111	33	outside	outside	NOUN
fumecheng-1634	111	34	.	.	PUNCT
fumecheng-1634	112	1	the	the	DET
fumecheng-1634	112	2	stick	stick	PROPN
fumecheng-1634	112	3	-	-	PUNCT
fumecheng-1634	112	4	area	area	NOUN
fumecheng-1634	112	5	will	will	AUX
fumecheng-1634	112	6	have	have	VERB
fumecheng-1634	112	7	the	the	DET
fumecheng-1634	112	8	shape	shape	NOUN
fumecheng-1634	112	9	of	of	ADP
fumecheng-1634	112	10	a	a	DET
fumecheng-1634	112	11	circle	circle	NOUN
fumecheng-1634	112	12	and	and	CCONJ
fumecheng-1634	112	13	the	the	DET
fumecheng-1634	112	14	slip	slip	NOUN
fumecheng-1634	112	15	-	-	PUNCT
fumecheng-1634	112	16	area	area	NOUN
fumecheng-1634	112	17	will	will	AUX
fumecheng-1634	112	18	encircle	encircle	VERB
fumecheng-1634	112	19	it	it	PRON
fumecheng-1634	112	20	in	in	ADP
fumecheng-1634	112	21	the	the	DET
fumecheng-1634	112	22	shape	shape	NOUN
fumecheng-1634	112	23	of	of	ADP
fumecheng-1634	112	24	an	an	DET
fumecheng-1634	112	25	annulus	annulus	NOUN
fumecheng-1634	112	26	.	.	PUNCT
fumecheng-1634	113	1	by	by	ADP
fumecheng-1634	113	2	moving	move	VERB
fumecheng-1634	113	3	it	it	PRON
fumecheng-1634	113	4	further	far	ADV
fumecheng-1634	113	5	in	in	ADP
fumecheng-1634	113	6	the	the	DET
fumecheng-1634	113	7	chosen	choose	VERB
fumecheng-1634	113	8	direction	direction	NOUN
fumecheng-1634	113	9	,	,	PUNCT
fumecheng-1634	113	10	the	the	DET
fumecheng-1634	113	11	stick	stick	NOUN
fumecheng-1634	113	12	-	-	PUNCT
fumecheng-1634	113	13	area	area	NOUN
fumecheng-1634	113	14	gets	get	VERB
fumecheng-1634	113	15	smaller	small	ADJ
fumecheng-1634	113	16	and	and	CCONJ
fumecheng-1634	113	17	smaller	small	ADJ
fumecheng-1634	113	18	before	before	SCONJ
fumecheng-1634	113	19	it	it	PRON
fumecheng-1634	113	20	disappears	disappear	VERB
fumecheng-1634	113	21	completely	completely	ADV
fumecheng-1634	113	22	and	and	CCONJ
fumecheng-1634	113	23	we	we	PRON
fumecheng-1634	113	24	reach	reach	VERB
fumecheng-1634	113	25	macroscopic	macroscopic	ADJ
fumecheng-1634	113	26	slipping	slipping	NOUN
fumecheng-1634	113	27	.	.	PUNCT
fumecheng-1634	114	1	if	if	SCONJ
fumecheng-1634	114	2	we	we	PRON
fumecheng-1634	114	3	move	move	VERB
fumecheng-1634	114	4	the	the	DET
fumecheng-1634	114	5	indenter	indenter	NOUN
fumecheng-1634	114	6	in	in	ADP
fumecheng-1634	114	7	one	one	NUM
fumecheng-1634	114	8	direction	direction	NOUN
fumecheng-1634	114	9	without	without	ADP
fumecheng-1634	114	10	reaching	reach	VERB
fumecheng-1634	114	11	macroscopic	macroscopic	ADJ
fumecheng-1634	114	12	slipping	slipping	NOUN
fumecheng-1634	114	13	and	and	CCONJ
fumecheng-1634	114	14	subsequently	subsequently	ADV
fumecheng-1634	114	15	perform	perform	VERB
fumecheng-1634	114	16	a	a	DET
fumecheng-1634	114	17	small	small	ADJ
fumecheng-1634	114	18	displacement	displacement	NOUN
fumecheng-1634	114	19	in	in	ADP
fumecheng-1634	114	20	the	the	DET
fumecheng-1634	114	21	opposite	opposite	ADJ
fumecheng-1634	114	22	direction	direction	NOUN
fumecheng-1634	114	23	,	,	PUNCT
fumecheng-1634	114	24	we	we	PRON
fumecheng-1634	114	25	will	will	AUX
fumecheng-1634	114	26	observe	observe	VERB
fumecheng-1634	114	27	that	that	SCONJ
fumecheng-1634	114	28	:	:	PUNCT
fumecheng-1634	114	29	the	the	DET
fumecheng-1634	114	30	former	former	ADJ
fumecheng-1634	114	31	stick	stick	NOUN
fumecheng-1634	114	32	-	-	PUNCT
fumecheng-1634	114	33	area	area	NOUN
fumecheng-1634	114	34	is	be	AUX
fumecheng-1634	114	35	still	still	ADV
fumecheng-1634	114	36	in	in	ADP
fumecheng-1634	114	37	stick	stick	NOUN
fumecheng-1634	114	38	-	-	PUNCT
fumecheng-1634	114	39	state	state	NOUN
fumecheng-1634	114	40	.	.	PUNCT
fumecheng-1634	115	1	more	more	ADJ
fumecheng-1634	115	2	inner	inner	ADJ
fumecheng-1634	115	3	parts	part	NOUN
fumecheng-1634	115	4	of	of	ADP
fumecheng-1634	115	5	the	the	DET
fumecheng-1634	115	6	former	former	ADJ
fumecheng-1634	115	7	slip	slip	NOUN
fumecheng-1634	115	8	-	-	PUNCT
fumecheng-1634	115	9	area	area	NOUN
fumecheng-1634	115	10	are	be	AUX
fumecheng-1634	115	11	now	now	ADV
fumecheng-1634	115	12	also	also	ADV
fumecheng-1634	115	13	in	in	ADP
fumecheng-1634	115	14	stick	stick	NOUN
fumecheng-1634	115	15	-	-	PUNCT
fumecheng-1634	115	16	state	state	NOUN
fumecheng-1634	115	17	.	.	PUNCT
fumecheng-1634	116	1	the	the	DET
fumecheng-1634	116	2	outermost	outermost	ADJ
fumecheng-1634	116	3	border	border	NOUN
fumecheng-1634	116	4	of	of	ADP
fumecheng-1634	116	5	the	the	DET
fumecheng-1634	116	6	former	former	ADJ
fumecheng-1634	116	7	slip	slip	NOUN
fumecheng-1634	116	8	-	-	PUNCT
fumecheng-1634	116	9	area	area	NOUN
fumecheng-1634	116	10	is	be	AUX
fumecheng-1634	116	11	in	in	ADP
fumecheng-1634	116	12	slip	slip	NOUN
fumecheng-1634	116	13	-	-	PUNCT
fumecheng-1634	116	14	state	state	NOUN
fumecheng-1634	116	15	again	again	ADV
fumecheng-1634	116	16	.	.	PUNCT
fumecheng-1634	117	1	thus	thus	ADV
fumecheng-1634	117	2	,	,	PUNCT
fumecheng-1634	117	3	we	we	PRON
fumecheng-1634	117	4	will	will	AUX
fumecheng-1634	117	5	observe	observe	VERB
fumecheng-1634	117	6	different	different	ADJ
fumecheng-1634	117	7	displacement	displacement	ADJ
fumecheng-1634	117	8	areas	area	NOUN
fumecheng-1634	117	9	:	:	PUNCT
fumecheng-1634	117	10	in	in	ADP
fumecheng-1634	117	11	the	the	DET
fumecheng-1634	117	12	center	center	NOUN
fumecheng-1634	117	13	,	,	PUNCT
fumecheng-1634	117	14	there	there	PRON
fumecheng-1634	117	15	will	will	AUX
fumecheng-1634	117	16	be	be	AUX
fumecheng-1634	117	17	a	a	DET
fumecheng-1634	117	18	circle	circle	NOUN
fumecheng-1634	117	19	where	where	SCONJ
fumecheng-1634	117	20	the	the	DET
fumecheng-1634	117	21	displacement	displacement	NOUN
fumecheng-1634	117	22	equals	equal	VERB
fumecheng-1634	117	23	the	the	DET
fumecheng-1634	117	24	macroscopic	macroscopic	ADJ
fumecheng-1634	117	25	displacement	displacement	NOUN
fumecheng-1634	117	26	of	of	ADP
fumecheng-1634	117	27	the	the	DET
fumecheng-1634	117	28	indenter	indenter	NOUN
fumecheng-1634	117	29	,	,	PUNCT
fumecheng-1634	117	30	then	then	ADV
fumecheng-1634	117	31	there	there	PRON
fumecheng-1634	117	32	is	be	VERB
fumecheng-1634	117	33	an	an	DET
fumecheng-1634	117	34	annulus	annulus	NOUN
fumecheng-1634	117	35	in	in	ADP
fumecheng-1634	117	36	a	a	DET
fumecheng-1634	117	37	stick	stick	NOUN
fumecheng-1634	117	38	-	-	PUNCT
fumecheng-1634	117	39	state	state	NOUN
fumecheng-1634	117	40	,	,	PUNCT
fumecheng-1634	117	41	which	which	PRON
fumecheng-1634	117	42	was	be	AUX
fumecheng-1634	117	43	at	at	ADP
fumecheng-1634	117	44	some	some	DET
fumecheng-1634	117	45	former	former	ADJ
fumecheng-1634	117	46	time	time	NOUN
fumecheng-1634	117	47	in	in	ADP
fumecheng-1634	117	48	a	a	DET
fumecheng-1634	117	49	slip	slip	NOUN
fumecheng-1634	117	50	-	-	PUNCT
fumecheng-1634	117	51	state	state	NOUN
fumecheng-1634	117	52	,	,	PUNCT
fumecheng-1634	117	53	and	and	CCONJ
fumecheng-1634	117	54	finally	finally	ADV
fumecheng-1634	117	55	on	on	ADP
fumecheng-1634	117	56	the	the	DET
fumecheng-1634	117	57	outermost	outermost	ADJ
fumecheng-1634	117	58	border	border	NOUN
fumecheng-1634	117	59	there	there	PRON
fumecheng-1634	117	60	will	will	AUX
fumecheng-1634	117	61	always	always	ADV
fumecheng-1634	117	62	be	be	AUX
fumecheng-1634	117	63	an	an	DET
fumecheng-1634	117	64	annulus	annulus	NOUN
fumecheng-1634	117	65	in	in	ADP
fumecheng-1634	117	66	slip	slip	NOUN
fumecheng-1634	117	67	-	-	PUNCT
fumecheng-1634	117	68	state	state	NOUN
fumecheng-1634	117	69	.	.	PUNCT
fumecheng-1634	118	1	that	that	PRON
fumecheng-1634	118	2	is	is	ADV
fumecheng-1634	118	3	,	,	PUNCT
fumecheng-1634	118	4	by	by	ADP
fumecheng-1634	118	5	simply	simply	ADV
fumecheng-1634	118	6	alternating	alternate	VERB
fumecheng-1634	118	7	the	the	DET
fumecheng-1634	118	8	direction	direction	NOUN
fumecheng-1634	118	9	of	of	ADP
fumecheng-1634	118	10	the	the	DET
fumecheng-1634	118	11	indenter	indenter	NOUN
fumecheng-1634	118	12	several	several	ADJ
fumecheng-1634	118	13	times	time	NOUN
fumecheng-1634	118	14	,	,	PUNCT
fumecheng-1634	118	15	we	we	PRON
fumecheng-1634	118	16	can	can	AUX
fumecheng-1634	118	17	create	create	VERB
fumecheng-1634	118	18	a	a	DET
fumecheng-1634	118	19	strongly	strongly	ADV
fumecheng-1634	118	20	fragmented	fragmented	ADJ
fumecheng-1634	118	21	displacement	displacement	ADJ
fumecheng-1634	118	22	field	field	NOUN
fumecheng-1634	118	23	.	.	PUNCT
fumecheng-1634	119	1	if	if	SCONJ
fumecheng-1634	119	2	now	now	ADV
fumecheng-1634	119	3	,	,	PUNCT
fumecheng-1634	119	4	for	for	ADP
fumecheng-1634	119	5	example	example	NOUN
fumecheng-1634	119	6	,	,	PUNCT
fumecheng-1634	119	7	we	we	PRON
fumecheng-1634	119	8	drag	drag	VERB
fumecheng-1634	119	9	the	the	DET
fumecheng-1634	119	10	indenter	indenter	NOUN
fumecheng-1634	119	11	until	until	SCONJ
fumecheng-1634	119	12	the	the	DET
fumecheng-1634	119	13	whole	whole	ADJ
fumecheng-1634	119	14	contact	contact	NOUN
fumecheng-1634	119	15	is	be	AUX
fumecheng-1634	119	16	in	in	ADP
fumecheng-1634	119	17	slip	slip	NOUN
fumecheng-1634	119	18	-	-	PUNCT
fumecheng-1634	119	19	state	state	NOUN
fumecheng-1634	119	20	,	,	PUNCT
fumecheng-1634	119	21	we	we	PRON
fumecheng-1634	119	22	could	could	AUX
fumecheng-1634	119	23	create	create	VERB
fumecheng-1634	119	24	a	a	DET
fumecheng-1634	119	25	growing	grow	VERB
fumecheng-1634	119	26	stick	stick	NOUN
fumecheng-1634	119	27	-	-	PUNCT
fumecheng-1634	119	28	area	area	NOUN
fumecheng-1634	119	29	with	with	ADP
fumecheng-1634	119	30	a	a	DET
fumecheng-1634	119	31	fragmented	fragmented	ADJ
fumecheng-1634	119	32	displacement	displacement	ADJ
fumecheng-1634	119	33	field	field	NOUN
fumecheng-1634	119	34	,	,	PUNCT
fumecheng-1634	119	35	by	by	ADP
fumecheng-1634	119	36	simply	simply	ADV
fumecheng-1634	119	37	moving	move	VERB
fumecheng-1634	119	38	in	in	ADP
fumecheng-1634	119	39	a	a	DET
fumecheng-1634	119	40	certain	certain	ADJ
fumecheng-1634	119	41	back	back	NOUN
fumecheng-1634	119	42	-	-	PUNCT
fumecheng-1634	119	43	and	and	CCONJ
fumecheng-1634	119	44	-	-	PUNCT
fumecheng-1634	119	45	forth	forth	NOUN
fumecheng-1634	119	46	motion	motion	NOUN
fumecheng-1634	119	47	with	with	ADP
fumecheng-1634	119	48	falling	fall	VERB
fumecheng-1634	119	49	amplitudes	amplitude	NOUN
fumecheng-1634	119	50	.	.	PUNCT
fumecheng-1634	120	1	as	as	SCONJ
fumecheng-1634	120	2	the	the	DET
fumecheng-1634	120	3	displacement	displacement	ADJ
fumecheng-1634	120	4	field	field	NOUN
fumecheng-1634	120	5	determines	determine	VERB
fumecheng-1634	120	6	the	the	DET
fumecheng-1634	120	7	shear	shear	NOUN
fumecheng-1634	120	8	stress	stress	NOUN
fumecheng-1634	120	9	distribution	distribution	NOUN
fumecheng-1634	120	10	,	,	PUNCT
fumecheng-1634	120	11	we	we	PRON
fumecheng-1634	120	12	can	can	AUX
fumecheng-1634	120	13	manipulate	manipulate	VERB
fumecheng-1634	120	14	the	the	DET
fumecheng-1634	120	15	stress	stress	NOUN
fumecheng-1634	120	16	by	by	ADP
fumecheng-1634	120	17	moving	move	VERB
fumecheng-1634	120	18	the	the	DET
fumecheng-1634	120	19	indenter	indenter	NOUN
fumecheng-1634	120	20	in	in	ADP
fumecheng-1634	120	21	a	a	DET
fumecheng-1634	120	22	given	give	VERB
fumecheng-1634	120	23	way	way	NOUN
fumecheng-1634	120	24	.	.	PUNCT
fumecheng-1634	121	1	in	in	ADP
fumecheng-1634	121	2	order	order	NOUN
fumecheng-1634	121	3	to	to	PART
fumecheng-1634	121	4	minimize	minimize	VERB
fumecheng-1634	121	5	the	the	DET
fumecheng-1634	121	6	shear	shear	NOUN
fumecheng-1634	121	7	stress	stress	NOUN
fumecheng-1634	121	8	,	,	PUNCT
fumecheng-1634	121	9	the	the	DET
fumecheng-1634	121	10	following	follow	VERB
fumecheng-1634	121	11	procedure	procedure	NOUN
fumecheng-1634	121	12	is	be	AUX
fumecheng-1634	121	13	discussed	discuss	VERB
fumecheng-1634	121	14	.	.	PUNCT
fumecheng-1634	122	1	164	164	NUM
fumecheng-1634	122	2	a.	a.	NOUN
fumecheng-1634	122	3	kraft	kraft	NOUN
fumecheng-1634	122	4	,	,	PUNCT
fumecheng-1634	122	5	r.	r.	PROPN
fumecheng-1634	122	6	pohrt	pohrt	PROPN
fumecheng-1634	122	7	on	on	ADP
fumecheng-1634	122	8	a	a	DET
fumecheng-1634	122	9	rigid	rigid	ADJ
fumecheng-1634	122	10	plane	plane	NOUN
fumecheng-1634	122	11	base	base	NOUN
fumecheng-1634	122	12	,	,	PUNCT
fumecheng-1634	122	13	we	we	PRON
fumecheng-1634	122	14	push	push	VERB
fumecheng-1634	122	15	a	a	DET
fumecheng-1634	122	16	spherical	spherical	ADJ
fumecheng-1634	122	17	indenter	indenter	NOUN
fumecheng-1634	122	18	until	until	SCONJ
fumecheng-1634	122	19	an	an	DET
fumecheng-1634	122	20	indentation	indentation	NOUN
fumecheng-1634	122	21	depth	depth	NOUN
fumecheng-1634	122	22	d	d	NOUN
fumecheng-1634	122	23	and	and	CCONJ
fumecheng-1634	122	24	related	relate	VERB
fumecheng-1634	122	25	normal	normal	ADJ
fumecheng-1634	122	26	force	force	NOUN
fumecheng-1634	122	27	fn	fn	NOUN
fumecheng-1634	122	28	are	be	AUX
fumecheng-1634	122	29	reached	reach	VERB
fumecheng-1634	122	30	.	.	PUNCT
fumecheng-1634	123	1	we	we	PRON
fumecheng-1634	123	2	keep	keep	VERB
fumecheng-1634	123	3	this	this	DET
fumecheng-1634	123	4	configuration	configuration	NOUN
fumecheng-1634	123	5	for	for	ADP
fumecheng-1634	123	6	the	the	DET
fumecheng-1634	123	7	normal	normal	ADJ
fumecheng-1634	123	8	contact	contact	NOUN
fumecheng-1634	123	9	throughout	throughout	ADP
fumecheng-1634	123	10	the	the	DET
fumecheng-1634	123	11	following	follow	VERB
fumecheng-1634	123	12	procedure	procedure	NOUN
fumecheng-1634	123	13	.	.	PUNCT
fumecheng-1634	124	1	the	the	DET
fumecheng-1634	124	2	origin	origin	NOUN
fumecheng-1634	124	3	of	of	ADP
fumecheng-1634	124	4	coordinate	coordinate	NOUN
fumecheng-1634	124	5	ux	ux	PROPN
fumecheng-1634	124	6	(	(	PUNCT
fumecheng-1634	124	7	0	0	NUM
fumecheng-1634	124	8	)	)	PUNCT
fumecheng-1634	124	9	is	be	AUX
fumecheng-1634	124	10	placed	place	VERB
fumecheng-1634	124	11	on	on	ADP
fumecheng-1634	124	12	the	the	DET
fumecheng-1634	124	13	rigid	rigid	ADJ
fumecheng-1634	124	14	plane	plane	NOUN
fumecheng-1634	124	15	.	.	PUNCT
fumecheng-1634	125	1	subsequently	subsequently	ADV
fumecheng-1634	125	2	we	we	PRON
fumecheng-1634	125	3	displace	displace	VERB
fumecheng-1634	125	4	the	the	DET
fumecheng-1634	125	5	indenter	indenter	NOUN
fumecheng-1634	125	6	horizontally	horizontally	ADV
fumecheng-1634	125	7	by	by	ADP
fumecheng-1634	125	8	uxmax	uxmax	PROPN
fumecheng-1634	125	9	(	(	PUNCT
fumecheng-1634	125	10	0	0	NUM
fumecheng-1634	125	11	)	)	PUNCT
fumecheng-1634	125	12	in	in	ADP
fumecheng-1634	125	13	ux	ux	PROPN
fumecheng-1634	125	14	(	(	PUNCT
fumecheng-1634	125	15	0	0	NUM
fumecheng-1634	125	16	)	)	PUNCT
fumecheng-1634	125	17	direction	direction	NOUN
fumecheng-1634	125	18	so	so	SCONJ
fumecheng-1634	125	19	that	that	SCONJ
fumecheng-1634	125	20	the	the	DET
fumecheng-1634	125	21	stick	stick	NOUN
fumecheng-1634	125	22	area	area	NOUN
fumecheng-1634	125	23	disappears	disappear	VERB
fumecheng-1634	125	24	completely	completely	ADV
fumecheng-1634	125	25	according	accord	VERB
fumecheng-1634	125	26	to	to	ADP
fumecheng-1634	125	27	eq	eq	PROPN
fumecheng-1634	125	28	.	.	PUNCT
fumecheng-1634	126	1	(	(	PUNCT
fumecheng-1634	126	2	4	4	NUM
fumecheng-1634	126	3	)	)	PUNCT
fumecheng-1634	126	4	and	and	CCONJ
fumecheng-1634	126	5	the	the	DET
fumecheng-1634	126	6	indenter	indenter	NOUN
fumecheng-1634	126	7	reaches	reach	VERB
fumecheng-1634	126	8	macroscopic	macroscopic	ADJ
fumecheng-1634	126	9	slipping	slipping	NOUN
fumecheng-1634	126	10	.	.	PUNCT
fumecheng-1634	127	1	now	now	ADV
fumecheng-1634	127	2	we	we	PRON
fumecheng-1634	127	3	drag	drag	VERB
fumecheng-1634	127	4	the	the	DET
fumecheng-1634	127	5	indenter	indenter	NOUN
fumecheng-1634	127	6	back	back	ADV
fumecheng-1634	127	7	and	and	CCONJ
fumecheng-1634	127	8	forth	forth	ADV
fumecheng-1634	127	9	with	with	ADP
fumecheng-1634	127	10	linearly	linearly	ADV
fumecheng-1634	127	11	falling	fall	VERB
fumecheng-1634	127	12	amplitude	amplitude	NOUN
fumecheng-1634	127	13	around	around	ADP
fumecheng-1634	127	14	the	the	DET
fumecheng-1634	127	15	origin	origin	NOUN
fumecheng-1634	127	16	of	of	ADP
fumecheng-1634	127	17	ux	ux	PROPN
fumecheng-1634	127	18	(	(	PUNCT
fumecheng-1634	127	19	0	0	NUM
fumecheng-1634	127	20	)	)	PUNCT
fumecheng-1634	127	21	-coordinate	-coordinate	NOUN
fumecheng-1634	127	22	.	.	PUNCT
fumecheng-1634	128	1	let	let	VERB
fumecheng-1634	128	2	nr	nr	PRON
fumecheng-1634	128	3	be	be	AUX
fumecheng-1634	128	4	the	the	DET
fumecheng-1634	128	5	total	total	ADJ
fumecheng-1634	128	6	preselected	preselecte	VERB
fumecheng-1634	128	7	amount	amount	NOUN
fumecheng-1634	128	8	of	of	ADP
fumecheng-1634	128	9	reversal	reversal	NOUN
fumecheng-1634	128	10	points	point	NOUN
fumecheng-1634	128	11	and	and	CCONJ
fumecheng-1634	128	12	k	k	X
fumecheng-1634	128	13	the	the	DET
fumecheng-1634	128	14	current	current	ADJ
fumecheng-1634	128	15	reversal	reversal	NOUN
fumecheng-1634	128	16	point	point	NOUN
fumecheng-1634	128	17	,	,	PUNCT
fumecheng-1634	128	18	then	then	ADV
fumecheng-1634	128	19	the	the	DET
fumecheng-1634	128	20	analytic	analytic	ADJ
fumecheng-1634	128	21	expression	expression	NOUN
fumecheng-1634	128	22	describing	describe	VERB
fumecheng-1634	128	23	the	the	DET
fumecheng-1634	128	24	position	position	NOUN
fumecheng-1634	128	25	of	of	ADP
fumecheng-1634	128	26	the	the	DET
fumecheng-1634	128	27	indenter	indenter	NOUN
fumecheng-1634	128	28	relative	relative	ADJ
fumecheng-1634	128	29	to	to	ADP
fumecheng-1634	128	30	the	the	DET
fumecheng-1634	128	31	rigid	rigid	ADJ
fumecheng-1634	128	32	plane	plane	NOUN
fumecheng-1634	128	33	is	be	AUX
fumecheng-1634	128	34	:	:	PUNCT
fumecheng-1634	128	35			NOUN
fumecheng-1634	128	36			SYM
fumecheng-1634	128	37			NOUN
fumecheng-1634	129	1			PROPN
fumecheng-1634	129	2			NOUN
fumecheng-1634	129	3			PROPN
fumecheng-1634	129	4	(	(	PUNCT
fumecheng-1634	129	5	0	0	NUM
fumecheng-1634	129	6	)	)	PUNCT
fumecheng-1634	129	7	(	(	PUNCT
fumecheng-1634	129	8	k	k	NOUN
fumecheng-1634	129	9	1)0	1)0	NUM
fumecheng-1634	129	10	x	x	SYM
fumecheng-1634	129	11	max	max	NOUN
fumecheng-1634	130	1	x	x	PUNCT
fumecheng-1634	131	1	r	r	NOUN
fumecheng-1634	131	2	r	r	NOUN
fumecheng-1634	131	3	r	r	NOUN
fumecheng-1634	131	4	u	u	NOUN
fumecheng-1634	131	5	u	u	NOUN
fumecheng-1634	131	6	(	(	PUNCT
fumecheng-1634	131	7	k	k	NOUN
fumecheng-1634	131	8	)	)	PUNCT
fumecheng-1634	131	9	(	(	PUNCT
fumecheng-1634	131	10	n	n	NOUN
fumecheng-1634	131	11	1	1	NUM
fumecheng-1634	131	12	k	k	NOUN
fumecheng-1634	131	13	)	)	PUNCT
fumecheng-1634	131	14	1	1	NUM
fumecheng-1634	131	15	for	for	ADP
fumecheng-1634	131	16	k	k	PROPN
fumecheng-1634	131	17	1,2	1,2	NUM
fumecheng-1634	131	18	,	,	PUNCT
fumecheng-1634	131	19	...	...	PUNCT
fumecheng-1634	131	20	,	,	PUNCT
fumecheng-1634	131	21	n	n	PROPN
fumecheng-1634	131	22	1	1	NUM
fumecheng-1634	131	23	n	n	NOUN
fumecheng-1634	131	24			ADP
fumecheng-1634	131	25			NUM
fumecheng-1634	131	26			ADJ
fumecheng-1634	131	27			PROPN
fumecheng-1634	131	28			PROPN
fumecheng-1634	131	29			NOUN
fumecheng-1634	131	30			X
fumecheng-1634	131	31	.	.	PUNCT
fumecheng-1634	132	1	(	(	PUNCT
fumecheng-1634	132	2	20	20	NUM
fumecheng-1634	132	3	)	)	PUNCT
fumecheng-1634	132	4	for	for	ADP
fumecheng-1634	132	5	example	example	NOUN
fumecheng-1634	132	6	,	,	PUNCT
fumecheng-1634	132	7	if	if	SCONJ
fumecheng-1634	132	8	we	we	PRON
fumecheng-1634	132	9	choose	choose	VERB
fumecheng-1634	132	10	nr=1	nr=1	PROPN
fumecheng-1634	132	11	,	,	PUNCT
fumecheng-1634	132	12	the	the	DET
fumecheng-1634	132	13	indenter	indenter	NOUN
fumecheng-1634	132	14	moves	move	VERB
fumecheng-1634	132	15	to	to	PART
fumecheng-1634	132	16	uxmax	uxmax	VERB
fumecheng-1634	132	17	(	(	PUNCT
fumecheng-1634	132	18	0	0	NUM
fumecheng-1634	132	19	)	)	PUNCT
fumecheng-1634	132	20	and	and	CCONJ
fumecheng-1634	132	21	then	then	ADV
fumecheng-1634	132	22	back	back	ADV
fumecheng-1634	132	23	to	to	ADP
fumecheng-1634	132	24	0	0	NUM
fumecheng-1634	132	25	.	.	PUNCT
fumecheng-1634	133	1	if	if	SCONJ
fumecheng-1634	133	2	we	we	PRON
fumecheng-1634	133	3	choose	choose	VERB
fumecheng-1634	133	4	nr=2	nr=2	ADP
fumecheng-1634	133	5	,	,	PUNCT
fumecheng-1634	133	6	the	the	DET
fumecheng-1634	133	7	indenter	indenter	NOUN
fumecheng-1634	133	8	goes	go	VERB
fumecheng-1634	133	9	to	to	ADP
fumecheng-1634	133	10	ux	ux	PROPN
fumecheng-1634	133	11	(	(	PUNCT
fumecheng-1634	133	12	0	0	NUM
fumecheng-1634	133	13	)	)	PUNCT
fumecheng-1634	134	1	=	=	NOUN
fumecheng-1634	134	2	uxmax	uxmax	ADJ
fumecheng-1634	134	3	(	(	PUNCT
fumecheng-1634	134	4	0	0	NUM
fumecheng-1634	134	5	)	)	PUNCT
fumecheng-1634	134	6	,	,	PUNCT
fumecheng-1634	134	7	then	then	ADV
fumecheng-1634	134	8	to	to	PART
fumecheng-1634	134	9	uxmax	uxmax	VERB
fumecheng-1634	134	10	(	(	PUNCT
fumecheng-1634	134	11	0	0	NUM
fumecheng-1634	134	12	)	)	PUNCT
fumecheng-1634	134	13	/2	/2	PUNCT
fumecheng-1634	134	14	and	and	CCONJ
fumecheng-1634	134	15	back	back	ADV
fumecheng-1634	134	16	to	to	ADP
fumecheng-1634	134	17	0	0	NUM
fumecheng-1634	134	18	.	.	PUNCT
fumecheng-1634	135	1	hence	hence	ADV
fumecheng-1634	135	2	,	,	PUNCT
fumecheng-1634	135	3	the	the	DET
fumecheng-1634	135	4	whole	whole	ADJ
fumecheng-1634	135	5	procedure	procedure	NOUN
fumecheng-1634	135	6	is	be	AUX
fumecheng-1634	135	7	path	path	NOUN
fumecheng-1634	135	8	-	-	PUNCT
fumecheng-1634	135	9	controlled	control	VERB
fumecheng-1634	135	10	by	by	ADP
fumecheng-1634	135	11	sequence	sequence	NOUN
fumecheng-1634	135	12	ux	ux	PROPN
fumecheng-1634	135	13	(	(	PUNCT
fumecheng-1634	135	14	0	0	NUM
fumecheng-1634	135	15	)	)	PUNCT
fumecheng-1634	135	16	(	(	PUNCT
fumecheng-1634	135	17	k	k	NOUN
fumecheng-1634	135	18	)	)	PUNCT
fumecheng-1634	135	19	.	.	PUNCT
fumecheng-1634	136	1	shear	shear	NOUN
fumecheng-1634	136	2	stress	stress	NOUN
fumecheng-1634	136	3	τ(r	τ(r	NOUN
fumecheng-1634	136	4	)	)	PUNCT
fumecheng-1634	136	5	and	and	CCONJ
fumecheng-1634	136	6	tangential	tangential	ADJ
fumecheng-1634	136	7	force	force	NOUN
fumecheng-1634	136	8	fx	fx	NOUN
fumecheng-1634	136	9	are	be	AUX
fumecheng-1634	136	10	only	only	ADV
fumecheng-1634	136	11	evaluated	evaluate	VERB
fumecheng-1634	136	12	at	at	ADP
fumecheng-1634	136	13	each	each	DET
fumecheng-1634	136	14	reversal	reversal	NOUN
fumecheng-1634	136	15	point	point	NOUN
fumecheng-1634	136	16	.	.	PUNCT
fumecheng-1634	137	1	note	note	VERB
fumecheng-1634	137	2	that	that	SCONJ
fumecheng-1634	137	3	eq	eq	ADP
fumecheng-1634	137	4	.	.	PUNCT
fumecheng-1634	138	1	(	(	PUNCT
fumecheng-1634	138	2	20	20	NUM
fumecheng-1634	138	3	)	)	PUNCT
fumecheng-1634	138	4	only	only	ADV
fumecheng-1634	138	5	describes	describe	VERB
fumecheng-1634	138	6	these	these	DET
fumecheng-1634	138	7	points	point	NOUN
fumecheng-1634	138	8	of	of	ADP
fumecheng-1634	138	9	the	the	DET
fumecheng-1634	138	10	movement	movement	NOUN
fumecheng-1634	138	11	.	.	PUNCT
fumecheng-1634	139	1	the	the	DET
fumecheng-1634	139	2	inertial	inertial	ADJ
fumecheng-1634	139	3	forces	force	NOUN
fumecheng-1634	139	4	of	of	ADP
fumecheng-1634	139	5	the	the	DET
fumecheng-1634	139	6	indenter	indenter	NOUN
fumecheng-1634	139	7	are	be	AUX
fumecheng-1634	139	8	not	not	PART
fumecheng-1634	139	9	considered	consider	VERB
fumecheng-1634	139	10	and	and	CCONJ
fumecheng-1634	139	11	the	the	DET
fumecheng-1634	139	12	problem	problem	NOUN
fumecheng-1634	139	13	is	be	AUX
fumecheng-1634	139	14	seen	see	VERB
fumecheng-1634	139	15	as	as	ADP
fumecheng-1634	139	16	quasi	quasi	NOUN
fumecheng-1634	139	17	-	-	ADJ
fumecheng-1634	139	18	static	static	ADJ
fumecheng-1634	139	19	.	.	PUNCT
fumecheng-1634	140	1	therefore	therefore	ADV
fumecheng-1634	140	2	,	,	PUNCT
fumecheng-1634	140	3	it	it	PRON
fumecheng-1634	140	4	does	do	AUX
fumecheng-1634	140	5	not	not	PART
fumecheng-1634	140	6	matter	matter	VERB
fumecheng-1634	140	7	in	in	ADP
fumecheng-1634	140	8	what	what	DET
fumecheng-1634	140	9	exact	exact	ADJ
fumecheng-1634	140	10	fashion	fashion	NOUN
fumecheng-1634	140	11	the	the	DET
fumecheng-1634	140	12	indenter	indenter	NOUN
fumecheng-1634	140	13	moves	move	VERB
fumecheng-1634	140	14	back	back	ADV
fumecheng-1634	140	15	and	and	CCONJ
fumecheng-1634	140	16	forth	forth	ADV
fumecheng-1634	140	17	.	.	PUNCT
fumecheng-1634	141	1	instead	instead	ADV
fumecheng-1634	141	2	of	of	ADP
fumecheng-1634	141	3	moving	move	VERB
fumecheng-1634	141	4	linearly	linearly	ADV
fumecheng-1634	141	5	,	,	PUNCT
fumecheng-1634	141	6	it	it	PRON
fumecheng-1634	141	7	might	might	AUX
fumecheng-1634	141	8	as	as	ADV
fumecheng-1634	141	9	well	well	ADV
fumecheng-1634	141	10	follow	follow	VERB
fumecheng-1634	141	11	a	a	DET
fumecheng-1634	141	12	sinusoidal	sinusoidal	ADJ
fumecheng-1634	141	13	movement	movement	NOUN
fumecheng-1634	141	14	,	,	PUNCT
fumecheng-1634	141	15	as	as	SCONJ
fumecheng-1634	141	16	depicted	depict	VERB
fumecheng-1634	141	17	in	in	ADP
fumecheng-1634	141	18	fig	fig	NOUN
fumecheng-1634	141	19	.	.	PUNCT
fumecheng-1634	142	1	1	1	X
fumecheng-1634	142	2	.	.	PUNCT
fumecheng-1634	142	3	finally	finally	ADV
fumecheng-1634	142	4	,	,	PUNCT
fumecheng-1634	142	5	it	it	PRON
fumecheng-1634	142	6	should	should	AUX
fumecheng-1634	142	7	be	be	AUX
fumecheng-1634	142	8	pointed	point	VERB
fumecheng-1634	142	9	out	out	ADP
fumecheng-1634	142	10	that	that	SCONJ
fumecheng-1634	142	11	the	the	DET
fumecheng-1634	142	12	movement	movement	NOUN
fumecheng-1634	142	13	always	always	ADV
fumecheng-1634	142	14	ends	end	VERB
fumecheng-1634	142	15	(	(	PUNCT
fumecheng-1634	142	16	for	for	ADP
fumecheng-1634	142	17	k	k	NOUN
fumecheng-1634	142	18	=	=	NOUN
fumecheng-1634	142	19	nr+1	nr+1	ADJ
fumecheng-1634	142	20	)	)	PUNCT
fumecheng-1634	142	21	at	at	ADP
fumecheng-1634	142	22	starting	start	VERB
fumecheng-1634	142	23	point	point	NOUN
fumecheng-1634	142	24	ux	ux	PROPN
fumecheng-1634	142	25	(	(	PUNCT
fumecheng-1634	142	26	0	0	NUM
fumecheng-1634	142	27	)	)	PUNCT
fumecheng-1634	143	1	=	=	NOUN
fumecheng-1634	143	2	0	0	NUM
fumecheng-1634	143	3	.	.	PUNCT
fumecheng-1634	143	4	fig	fig	NOUN
fumecheng-1634	143	5	.	.	PUNCT
fumecheng-1634	144	1	1	1	NUM
fumecheng-1634	144	2	normalized	normalize	VERB
fumecheng-1634	144	3	position	position	NOUN
fumecheng-1634	144	4	of	of	ADP
fumecheng-1634	144	5	the	the	DET
fumecheng-1634	144	6	indenter	indenter	NOUN
fumecheng-1634	144	7	on	on	ADP
fumecheng-1634	144	8	the	the	DET
fumecheng-1634	144	9	rigid	rigid	ADJ
fumecheng-1634	144	10	plane	plane	NOUN
fumecheng-1634	144	11	versus	versus	ADP
fumecheng-1634	144	12	the	the	DET
fumecheng-1634	144	13	reversal	reversal	NOUN
fumecheng-1634	144	14	points	point	NOUN
fumecheng-1634	144	15	.	.	PUNCT
fumecheng-1634	145	1	uxmax	uxmax	PROPN
fumecheng-1634	145	2	(	(	PUNCT
fumecheng-1634	145	3	0	0	NUM
fumecheng-1634	145	4	)	)	PUNCT
fumecheng-1634	145	5	is	be	AUX
fumecheng-1634	145	6	the	the	DET
fumecheng-1634	145	7	minimum	minimum	ADJ
fumecheng-1634	145	8	displacement	displacement	NOUN
fumecheng-1634	145	9	to	to	PART
fumecheng-1634	145	10	reach	reach	VERB
fumecheng-1634	145	11	macroscopic	macroscopic	ADJ
fumecheng-1634	145	12	slipping	slipping	NOUN
fumecheng-1634	145	13	.	.	PUNCT
fumecheng-1634	146	1	total	total	ADJ
fumecheng-1634	146	2	amount	amount	NOUN
fumecheng-1634	146	3	of	of	ADP
fumecheng-1634	146	4	reversal	reversal	NOUN
fumecheng-1634	146	5	points	point	NOUN
fumecheng-1634	146	6	is	be	AUX
fumecheng-1634	146	7	20	20	NUM
fumecheng-1634	146	8	.	.	PUNCT
fumecheng-1634	147	1	reduction	reduction	NOUN
fumecheng-1634	147	2	of	of	ADP
fumecheng-1634	147	3	residual	residual	ADJ
fumecheng-1634	147	4	shear	shear	NOUN
fumecheng-1634	147	5	stress	stress	NOUN
fumecheng-1634	147	6	in	in	ADP
fumecheng-1634	147	7	the	the	DET
fumecheng-1634	147	8	loaded	load	VERB
fumecheng-1634	147	9	contact	contact	NOUN
fumecheng-1634	147	10	using	use	VERB
fumecheng-1634	147	11	friction	friction	NOUN
fumecheng-1634	147	12	hysteresis	hysteresis	NOUN
fumecheng-1634	147	13	165	165	NUM
fumecheng-1634	147	14	fig	fig	NOUN
fumecheng-1634	147	15	.	.	PUNCT
fumecheng-1634	148	1	2	2	NUM
fumecheng-1634	148	2	normalized	normalize	VERB
fumecheng-1634	148	3	tangential	tangential	ADJ
fumecheng-1634	148	4	force	force	NOUN
fumecheng-1634	148	5	versus	versus	ADP
fumecheng-1634	148	6	reversal	reversal	NOUN
fumecheng-1634	148	7	points	point	NOUN
fumecheng-1634	148	8	.	.	PUNCT
fumecheng-1634	149	1	total	total	ADJ
fumecheng-1634	149	2	amount	amount	NOUN
fumecheng-1634	149	3	nr	nr	PROPN
fumecheng-1634	149	4	of	of	ADP
fumecheng-1634	149	5	reversal	reversal	NOUN
fumecheng-1634	149	6	points	point	NOUN
fumecheng-1634	149	7	is	be	AUX
fumecheng-1634	149	8	20	20	NUM
fumecheng-1634	149	9	.	.	PUNCT
fumecheng-1634	150	1	fn	fn	PROPN
fumecheng-1634	150	2	is	be	AUX
fumecheng-1634	150	3	the	the	DET
fumecheng-1634	150	4	constant	constant	ADJ
fumecheng-1634	150	5	normal	normal	ADJ
fumecheng-1634	150	6	force	force	NOUN
fumecheng-1634	150	7	as	as	SCONJ
fumecheng-1634	150	8	aforementioned	aforementione	VERB
fumecheng-1634	150	9	,	,	PUNCT
fumecheng-1634	150	10	we	we	PRON
fumecheng-1634	150	11	have	have	AUX
fumecheng-1634	150	12	chosen	choose	VERB
fumecheng-1634	150	13	to	to	PART
fumecheng-1634	150	14	move	move	VERB
fumecheng-1634	150	15	the	the	DET
fumecheng-1634	150	16	indenter	indenter	NOUN
fumecheng-1634	150	17	path	path	NOUN
fumecheng-1634	150	18	-	-	PUNCT
fumecheng-1634	150	19	controlled	control	VERB
fumecheng-1634	150	20	.	.	PUNCT
fumecheng-1634	151	1	from	from	ADP
fumecheng-1634	151	2	this	this	PRON
fumecheng-1634	151	3	,	,	PUNCT
fumecheng-1634	151	4	we	we	PRON
fumecheng-1634	151	5	obtained	obtain	VERB
fumecheng-1634	151	6	the	the	DET
fumecheng-1634	151	7	tangential	tangential	ADJ
fumecheng-1634	151	8	forces	force	NOUN
fumecheng-1634	151	9	at	at	ADP
fumecheng-1634	151	10	each	each	DET
fumecheng-1634	151	11	reversal	reversal	NOUN
fumecheng-1634	151	12	point	point	NOUN
fumecheng-1634	151	13	.	.	PUNCT
fumecheng-1634	152	1	fig	fig	NOUN
fumecheng-1634	152	2	.	.	PUNCT
fumecheng-1634	153	1	2	2	NUM
fumecheng-1634	153	2	shows	show	VERB
fumecheng-1634	153	3	the	the	DET
fumecheng-1634	153	4	absolute	absolute	ADJ
fumecheng-1634	153	5	value	value	NOUN
fumecheng-1634	153	6	of	of	ADP
fumecheng-1634	153	7	the	the	DET
fumecheng-1634	153	8	alternating	alternate	VERB
fumecheng-1634	153	9	forces	force	NOUN
fumecheng-1634	153	10	.	.	PUNCT
fumecheng-1634	154	1	we	we	PRON
fumecheng-1634	154	2	would	would	AUX
fumecheng-1634	154	3	get	get	VERB
fumecheng-1634	154	4	exactly	exactly	ADV
fumecheng-1634	154	5	the	the	DET
fumecheng-1634	154	6	same	same	ADJ
fumecheng-1634	154	7	motion	motion	NOUN
fumecheng-1634	154	8	if	if	SCONJ
fumecheng-1634	154	9	we	we	PRON
fumecheng-1634	154	10	picked	pick	VERB
fumecheng-1634	154	11	our	our	PRON
fumecheng-1634	154	12	reversal	reversal	NOUN
fumecheng-1634	154	13	points	point	NOUN
fumecheng-1634	154	14	according	accord	VERB
fumecheng-1634	154	15	to	to	ADP
fumecheng-1634	154	16	this	this	DET
fumecheng-1634	154	17	force	force	NOUN
fumecheng-1634	154	18	sequence	sequence	NOUN
fumecheng-1634	154	19	.	.	PUNCT
fumecheng-1634	155	1	for	for	ADP
fumecheng-1634	155	2	example	example	NOUN
fumecheng-1634	155	3	the	the	DET
fumecheng-1634	155	4	first	first	ADJ
fumecheng-1634	155	5	reversal	reversal	NOUN
fumecheng-1634	155	6	point	point	NOUN
fumecheng-1634	155	7	(	(	PUNCT
fumecheng-1634	155	8	k=1	k=1	NOUN
fumecheng-1634	155	9	)	)	PUNCT
fumecheng-1634	155	10	was	be	AUX
fumecheng-1634	155	11	defined	define	VERB
fumecheng-1634	155	12	so	so	SCONJ
fumecheng-1634	155	13	that	that	SCONJ
fumecheng-1634	155	14	we	we	PRON
fumecheng-1634	155	15	reach	reach	VERB
fumecheng-1634	155	16	macroscopic	macroscopic	ADJ
fumecheng-1634	155	17	slipping	slipping	NOUN
fumecheng-1634	155	18	,	,	PUNCT
fumecheng-1634	155	19	that	that	PRON
fumecheng-1634	155	20	is	be	AUX
fumecheng-1634	155	21	:	:	PUNCT
fumecheng-1634	155	22	fx=	fx=	PROPN
fumecheng-1634	155	23	μfn	μfn	PROPN
fumecheng-1634	155	24	.	.	PUNCT
fumecheng-1634	155	25	fig	fig	NOUN
fumecheng-1634	155	26	.	.	PUNCT
fumecheng-1634	156	1	3	3	NUM
fumecheng-1634	156	2	shear	shear	NOUN
fumecheng-1634	156	3	stress	stress	NOUN
fumecheng-1634	156	4	in	in	ADP
fumecheng-1634	156	5	the	the	DET
fumecheng-1634	156	6	contact	contact	NOUN
fumecheng-1634	156	7	area	area	NOUN
fumecheng-1634	156	8	after	after	ADP
fumecheng-1634	156	9	6	6	NUM
fumecheng-1634	156	10	and	and	CCONJ
fumecheng-1634	156	11	6.5	6.5	NUM
fumecheng-1634	156	12	reversal	reversal	NOUN
fumecheng-1634	156	13	points	point	NOUN
fumecheng-1634	156	14	(	(	PUNCT
fumecheng-1634	156	15	a	a	PRON
fumecheng-1634	156	16	and	and	CCONJ
fumecheng-1634	156	17	b	b	NOUN
fumecheng-1634	156	18	in	in	ADP
fumecheng-1634	156	19	[	[	X
fumecheng-1634	156	20	6	6	NUM
fumecheng-1634	156	21	]	]	NUM
fumecheng-1634	156	22	)	)	PUNCT
fumecheng-1634	156	23	.	.	PUNCT
fumecheng-1634	157	1	a	a	PRON
fumecheng-1634	157	2	is	be	AUX
fumecheng-1634	157	3	the	the	DET
fumecheng-1634	157	4	contact	contact	NOUN
fumecheng-1634	157	5	radius	radius	NOUN
fumecheng-1634	157	6	and	and	CCONJ
fumecheng-1634	157	7	pmax	pmax	VERB
fumecheng-1634	157	8	the	the	DET
fumecheng-1634	157	9	maximum	maximum	ADJ
fumecheng-1634	157	10	normal	normal	ADJ
fumecheng-1634	157	11	stress	stress	NOUN
fumecheng-1634	157	12	in	in	ADP
fumecheng-1634	157	13	the	the	DET
fumecheng-1634	157	14	contact	contact	NOUN
fumecheng-1634	157	15	surface	surface	NOUN
fumecheng-1634	157	16	of	of	ADP
fumecheng-1634	157	17	a	a	DET
fumecheng-1634	157	18	spherical	spherical	ADJ
fumecheng-1634	157	19	indenter	indenter	NOUN
fumecheng-1634	157	20	and	and	CCONJ
fumecheng-1634	157	21	a	a	DET
fumecheng-1634	157	22	rigid	rigid	ADJ
fumecheng-1634	157	23	plane	plane	NOUN
fumecheng-1634	157	24	.	.	PUNCT
fumecheng-1634	158	1	total	total	ADJ
fumecheng-1634	158	2	amount	amount	NOUN
fumecheng-1634	158	3	nr	nr	PROPN
fumecheng-1634	158	4	of	of	ADP
fumecheng-1634	158	5	reversal	reversal	NOUN
fumecheng-1634	158	6	points	point	NOUN
fumecheng-1634	158	7	is	be	AUX
fumecheng-1634	158	8	20	20	NUM
fumecheng-1634	158	9	.	.	PUNCT
fumecheng-1634	158	10	166	166	NUM
fumecheng-1634	158	11	a.	a.	NOUN
fumecheng-1634	158	12	kraft	kraft	NOUN
fumecheng-1634	158	13	,	,	PUNCT
fumecheng-1634	158	14	r.	r.	PROPN
fumecheng-1634	158	15	pohrt	pohrt	PROPN
fumecheng-1634	158	16	at	at	ADP
fumecheng-1634	158	17	every	every	DET
fumecheng-1634	158	18	state	state	NOUN
fumecheng-1634	158	19	of	of	ADP
fumecheng-1634	158	20	the	the	DET
fumecheng-1634	158	21	movement	movement	NOUN
fumecheng-1634	158	22	,	,	PUNCT
fumecheng-1634	158	23	we	we	PRON
fumecheng-1634	158	24	can	can	AUX
fumecheng-1634	158	25	calculate	calculate	VERB
fumecheng-1634	158	26	the	the	DET
fumecheng-1634	158	27	shear	shear	NOUN
fumecheng-1634	158	28	stress	stress	ADJ
fumecheng-1634	158	29	distribution	distribution	NOUN
fumecheng-1634	158	30	according	accord	VERB
fumecheng-1634	158	31	to	to	ADP
fumecheng-1634	158	32	eq	eq	PROPN
fumecheng-1634	158	33	.	.	PUNCT
fumecheng-1634	159	1	(	(	PUNCT
fumecheng-1634	159	2	19	19	NUM
fumecheng-1634	159	3	)	)	PUNCT
fumecheng-1634	159	4	.	.	PUNCT
fumecheng-1634	160	1	fig	fig	NOUN
fumecheng-1634	160	2	.	.	PUNCT
fumecheng-1634	161	1	3	3	NUM
fumecheng-1634	161	2	shows	show	VERB
fumecheng-1634	161	3	the	the	DET
fumecheng-1634	161	4	stress	stress	NOUN
fumecheng-1634	161	5	distribution	distribution	NOUN
fumecheng-1634	161	6	after	after	ADP
fumecheng-1634	161	7	six	six	NUM
fumecheng-1634	161	8	back	back	ADV
fumecheng-1634	161	9	and	and	CCONJ
fumecheng-1634	161	10	forth	forth	ADV
fumecheng-1634	161	11	movements	movement	NOUN
fumecheng-1634	161	12	(	(	PUNCT
fumecheng-1634	161	13	continuous	continuous	ADJ
fumecheng-1634	161	14	line	line	NOUN
fumecheng-1634	161	15	;	;	PUNCT
fumecheng-1634	161	16	point	point	VERB
fumecheng-1634	161	17	a	a	PRON
fumecheng-1634	161	18	in	in	ADP
fumecheng-1634	161	19	fig	fig	NOUN
fumecheng-1634	161	20	.	.	PUNCT
fumecheng-1634	162	1	1	1	NUM
fumecheng-1634	162	2	)	)	PUNCT
fumecheng-1634	162	3	,	,	PUNCT
fumecheng-1634	162	4	thus	thus	ADV
fumecheng-1634	162	5	exactly	exactly	ADV
fumecheng-1634	162	6	at	at	ADP
fumecheng-1634	162	7	a	a	DET
fumecheng-1634	162	8	reversal	reversal	NOUN
fumecheng-1634	162	9	point	point	NOUN
fumecheng-1634	162	10	.	.	PUNCT
fumecheng-1634	163	1	we	we	PRON
fumecheng-1634	163	2	can	can	AUX
fumecheng-1634	163	3	see	see	VERB
fumecheng-1634	163	4	that	that	SCONJ
fumecheng-1634	163	5	inside	inside	ADP
fumecheng-1634	163	6	the	the	DET
fumecheng-1634	163	7	outer	outer	ADJ
fumecheng-1634	163	8	ring	ring	NOUN
fumecheng-1634	163	9	of	of	ADP
fumecheng-1634	163	10	the	the	DET
fumecheng-1634	163	11	contact	contact	NOUN
fumecheng-1634	163	12	area	area	NOUN
fumecheng-1634	163	13	(	(	PUNCT
fumecheng-1634	163	14	approximately	approximately	ADV
fumecheng-1634	163	15	0.5a	0.5a	PROPN
fumecheng-1634	163	16	<	<	X
fumecheng-1634	163	17	r	r	X
fumecheng-1634	163	18	<	<	X
fumecheng-1634	163	19	a	a	NOUN
fumecheng-1634	163	20	)	)	PUNCT
fumecheng-1634	163	21	,	,	PUNCT
fumecheng-1634	163	22	the	the	DET
fumecheng-1634	163	23	shear	shear	NOUN
fumecheng-1634	163	24	stress	stress	NOUN
fumecheng-1634	163	25	follows	follow	VERB
fumecheng-1634	163	26	τ(r)=μp(r	τ(r)=μp(r	PROPN
fumecheng-1634	163	27	)	)	PUNCT
fumecheng-1634	163	28	from	from	ADP
fumecheng-1634	163	29	which	which	PRON
fumecheng-1634	163	30	we	we	PRON
fumecheng-1634	163	31	can	can	AUX
fumecheng-1634	163	32	conclude	conclude	VERB
fumecheng-1634	163	33	that	that	SCONJ
fumecheng-1634	163	34	the	the	DET
fumecheng-1634	163	35	contact	contact	NOUN
fumecheng-1634	163	36	surface	surface	NOUN
fumecheng-1634	163	37	in	in	ADP
fumecheng-1634	163	38	this	this	DET
fumecheng-1634	163	39	area	area	NOUN
fumecheng-1634	163	40	is	be	AUX
fumecheng-1634	163	41	slipping	slip	VERB
fumecheng-1634	163	42	over	over	ADP
fumecheng-1634	163	43	the	the	DET
fumecheng-1634	163	44	plane	plane	NOUN
fumecheng-1634	163	45	.	.	PUNCT
fumecheng-1634	164	1	in	in	ADP
fumecheng-1634	164	2	the	the	DET
fumecheng-1634	164	3	inside	inside	NOUN
fumecheng-1634	164	4	,	,	PUNCT
fumecheng-1634	164	5	the	the	DET
fumecheng-1634	164	6	shear	shear	NOUN
fumecheng-1634	164	7	stress	stress	NOUN
fumecheng-1634	164	8	decreases	decrease	VERB
fumecheng-1634	164	9	and	and	CCONJ
fumecheng-1634	164	10	we	we	PRON
fumecheng-1634	164	11	have	have	VERB
fumecheng-1634	164	12	a	a	DET
fumecheng-1634	164	13	stick	stick	NOUN
fumecheng-1634	164	14	area	area	NOUN
fumecheng-1634	164	15	.	.	PUNCT
fumecheng-1634	165	1	with	with	ADP
fumecheng-1634	165	2	further	far	ADV
fumecheng-1634	165	3	back	back	ADV
fumecheng-1634	165	4	and	and	CCONJ
fumecheng-1634	165	5	forth	forth	ADJ
fumecheng-1634	165	6	movements	movement	NOUN
fumecheng-1634	165	7	at	at	ADP
fumecheng-1634	165	8	falling	fall	VERB
fumecheng-1634	165	9	amplitude	amplitude	NOUN
fumecheng-1634	165	10	,	,	PUNCT
fumecheng-1634	165	11	the	the	DET
fumecheng-1634	165	12	stick	stick	NOUN
fumecheng-1634	165	13	area	area	NOUN
fumecheng-1634	165	14	will	will	AUX
fumecheng-1634	165	15	grow	grow	VERB
fumecheng-1634	165	16	more	more	ADV
fumecheng-1634	165	17	and	and	CCONJ
fumecheng-1634	165	18	more	more	ADJ
fumecheng-1634	165	19	towards	towards	ADP
fumecheng-1634	165	20	the	the	DET
fumecheng-1634	165	21	edge	edge	NOUN
fumecheng-1634	165	22	.	.	PUNCT
fumecheng-1634	166	1	the	the	DET
fumecheng-1634	166	2	second	second	ADJ
fumecheng-1634	166	3	curve	curve	NOUN
fumecheng-1634	166	4	shows	show	VERB
fumecheng-1634	166	5	the	the	DET
fumecheng-1634	166	6	state	state	NOUN
fumecheng-1634	166	7	if	if	SCONJ
fumecheng-1634	166	8	we	we	PRON
fumecheng-1634	166	9	move	move	VERB
fumecheng-1634	166	10	from	from	ADP
fumecheng-1634	166	11	the	the	DET
fumecheng-1634	166	12	sixth	sixth	ADJ
fumecheng-1634	166	13	reversal	reversal	NOUN
fumecheng-1634	166	14	point	point	NOUN
fumecheng-1634	166	15	back	back	ADV
fumecheng-1634	166	16	to	to	ADP
fumecheng-1634	166	17	our	our	PRON
fumecheng-1634	166	18	starting	starting	NOUN
fumecheng-1634	166	19	point	point	NOUN
fumecheng-1634	166	20	(	(	PUNCT
fumecheng-1634	166	21	dashed	dash	VERB
fumecheng-1634	166	22	line	line	NOUN
fumecheng-1634	166	23	;	;	PUNCT
fumecheng-1634	166	24	point	point	NOUN
fumecheng-1634	166	25	b	b	PROPN
fumecheng-1634	166	26	in	in	ADP
fumecheng-1634	166	27	fig	fig	NOUN
fumecheng-1634	166	28	.	.	PUNCT
fumecheng-1634	167	1	1	1	NUM
fumecheng-1634	167	2	)	)	PUNCT
fumecheng-1634	167	3	.	.	PUNCT
fumecheng-1634	168	1	note	note	VERB
fumecheng-1634	168	2	that	that	SCONJ
fumecheng-1634	168	3	there	there	PRON
fumecheng-1634	168	4	is	be	VERB
fumecheng-1634	168	5	stick	stick	NOUN
fumecheng-1634	168	6	for	for	ADP
fumecheng-1634	168	7	approximately	approximately	ADV
fumecheng-1634	168	8	r<0.75a	r<0.75a	PROPN
fumecheng-1634	168	9	.	.	PUNCT
fumecheng-1634	169	1	in	in	ADP
fumecheng-1634	169	2	the	the	DET
fumecheng-1634	169	3	outer	outer	ADJ
fumecheng-1634	169	4	ring	ring	NOUN
fumecheng-1634	169	5	,	,	PUNCT
fumecheng-1634	169	6	all	all	DET
fumecheng-1634	169	7	points	point	NOUN
fumecheng-1634	169	8	are	be	AUX
fumecheng-1634	169	9	sliding	slide	VERB
fumecheng-1634	169	10	but	but	CCONJ
fumecheng-1634	169	11	the	the	DET
fumecheng-1634	169	12	orientation	orientation	NOUN
fumecheng-1634	169	13	has	have	AUX
fumecheng-1634	169	14	changed	change	VERB
fumecheng-1634	169	15	(	(	PUNCT
fumecheng-1634	169	16	negative	negative	ADJ
fumecheng-1634	169	17	shear	shear	NOUN
fumecheng-1634	169	18	stress	stress	NOUN
fumecheng-1634	169	19	in	in	ADP
fumecheng-1634	169	20	the	the	DET
fumecheng-1634	169	21	figure	figure	NOUN
fumecheng-1634	169	22	)	)	PUNCT
fumecheng-1634	169	23	.	.	PUNCT
fumecheng-1634	170	1	more	more	ADV
fumecheng-1634	170	2	generally	generally	ADV
fumecheng-1634	170	3	,	,	PUNCT
fumecheng-1634	170	4	we	we	PRON
fumecheng-1634	170	5	can	can	AUX
fumecheng-1634	170	6	see	see	VERB
fumecheng-1634	170	7	that	that	SCONJ
fumecheng-1634	170	8	in	in	ADP
fumecheng-1634	170	9	the	the	DET
fumecheng-1634	170	10	mdr	mdr	PROPN
fumecheng-1634	170	11	space	space	NOUN
fumecheng-1634	170	12	,	,	PUNCT
fumecheng-1634	170	13	every	every	DET
fumecheng-1634	170	14	spring	spring	NOUN
fumecheng-1634	170	15	has	have	VERB
fumecheng-1634	170	16	a	a	DET
fumecheng-1634	170	17	specific	specific	ADJ
fumecheng-1634	170	18	maximum	maximum	ADJ
fumecheng-1634	170	19	tangential	tangential	ADJ
fumecheng-1634	170	20	deflection	deflection	NOUN
fumecheng-1634	170	21	.	.	PUNCT
fumecheng-1634	171	1	due	due	ADP
fumecheng-1634	171	2	to	to	ADP
fumecheng-1634	171	3	the	the	DET
fumecheng-1634	171	4	higher	high	ADJ
fumecheng-1634	171	5	normal	normal	ADJ
fumecheng-1634	171	6	deformation	deformation	NOUN
fumecheng-1634	171	7	,	,	PUNCT
fumecheng-1634	171	8	this	this	DET
fumecheng-1634	171	9	maximum	maximum	ADJ
fumecheng-1634	171	10	deflection	deflection	NOUN
fumecheng-1634	171	11	is	be	AUX
fumecheng-1634	171	12	greater	great	ADJ
fumecheng-1634	171	13	for	for	ADP
fumecheng-1634	171	14	the	the	DET
fumecheng-1634	171	15	springs	spring	NOUN
fumecheng-1634	171	16	in	in	ADP
fumecheng-1634	171	17	the	the	DET
fumecheng-1634	171	18	middle	middle	NOUN
fumecheng-1634	171	19	of	of	ADP
fumecheng-1634	171	20	the	the	DET
fumecheng-1634	171	21	contact	contact	NOUN
fumecheng-1634	171	22	.	.	PUNCT
fumecheng-1634	172	1	with	with	ADP
fumecheng-1634	172	2	falling	fall	VERB
fumecheng-1634	172	3	amplitude	amplitude	NOUN
fumecheng-1634	172	4	of	of	ADP
fumecheng-1634	172	5	the	the	DET
fumecheng-1634	172	6	movement	movement	NOUN
fumecheng-1634	172	7	,	,	PUNCT
fumecheng-1634	172	8	little	little	ADJ
fumecheng-1634	172	9	by	by	ADP
fumecheng-1634	172	10	little	little	ADJ
fumecheng-1634	172	11	those	those	DET
fumecheng-1634	172	12	springs	spring	NOUN
fumecheng-1634	172	13	enter	enter	VERB
fumecheng-1634	172	14	the	the	DET
fumecheng-1634	172	15	stick	stick	NOUN
fumecheng-1634	172	16	state	state	NOUN
fumecheng-1634	172	17	,	,	PUNCT
fumecheng-1634	172	18	so	so	SCONJ
fumecheng-1634	172	19	that	that	SCONJ
fumecheng-1634	172	20	they	they	PRON
fumecheng-1634	172	21	can	can	AUX
fumecheng-1634	172	22	follow	follow	VERB
fumecheng-1634	172	23	the	the	DET
fumecheng-1634	172	24	macroscopic	macroscopic	ADJ
fumecheng-1634	172	25	movement	movement	NOUN
fumecheng-1634	172	26	of	of	ADP
fumecheng-1634	172	27	indenter	indenter	PROPN
fumecheng-1634	172	28	ux	ux	PROPN
fumecheng-1634	172	29	(	(	PUNCT
fumecheng-1634	172	30	0	0	NUM
fumecheng-1634	172	31	)	)	PUNCT
fumecheng-1634	172	32	.	.	PUNCT
fumecheng-1634	173	1	at	at	ADP
fumecheng-1634	173	2	the	the	DET
fumecheng-1634	173	3	outer	outer	ADJ
fumecheng-1634	173	4	edge	edge	NOUN
fumecheng-1634	173	5	,	,	PUNCT
fumecheng-1634	173	6	the	the	DET
fumecheng-1634	173	7	springs	spring	NOUN
fumecheng-1634	173	8	can	can	AUX
fumecheng-1634	173	9	only	only	ADV
fumecheng-1634	173	10	slightly	slightly	ADV
fumecheng-1634	173	11	deform	deform	VERB
fumecheng-1634	173	12	tangentially	tangentially	ADV
fumecheng-1634	173	13	and	and	CCONJ
fumecheng-1634	173	14	are	be	AUX
fumecheng-1634	173	15	practically	practically	ADV
fumecheng-1634	173	16	always	always	ADV
fumecheng-1634	173	17	in	in	ADP
fumecheng-1634	173	18	a	a	DET
fumecheng-1634	173	19	slip	slip	NOUN
fumecheng-1634	173	20	-	-	PUNCT
fumecheng-1634	173	21	state	state	NOUN
fumecheng-1634	173	22	,	,	PUNCT
fumecheng-1634	173	23	except	except	SCONJ
fumecheng-1634	173	24	shortly	shortly	ADV
fumecheng-1634	173	25	after	after	ADP
fumecheng-1634	173	26	switching	switch	VERB
fumecheng-1634	173	27	orientation	orientation	NOUN
fumecheng-1634	173	28	at	at	ADP
fumecheng-1634	173	29	each	each	DET
fumecheng-1634	173	30	reversal	reversal	NOUN
fumecheng-1634	173	31	point	point	NOUN
fumecheng-1634	173	32	.	.	PUNCT
fumecheng-1634	174	1	fig	fig	NOUN
fumecheng-1634	174	2	.	.	PUNCT
fumecheng-1634	175	1	4	4	NUM
fumecheng-1634	175	2	shows	show	VERB
fumecheng-1634	175	3	the	the	DET
fumecheng-1634	175	4	shear	shear	NOUN
fumecheng-1634	175	5	stress	stress	ADJ
fumecheng-1634	175	6	distribution	distribution	NOUN
fumecheng-1634	175	7	after	after	ADP
fumecheng-1634	175	8	20	20	NUM
fumecheng-1634	175	9	back	back	ADV
fumecheng-1634	175	10	-	-	PUNCT
fumecheng-1634	175	11	and	and	CCONJ
fumecheng-1634	175	12	-	-	PUNCT
fumecheng-1634	175	13	forth	forth	NOUN
fumecheng-1634	175	14	displacements	displacement	NOUN
fumecheng-1634	175	15	and	and	CCONJ
fumecheng-1634	175	16	return	return	VERB
fumecheng-1634	175	17	to	to	ADP
fumecheng-1634	175	18	the	the	DET
fumecheng-1634	175	19	origin	origin	NOUN
fumecheng-1634	175	20	.	.	PUNCT
fumecheng-1634	176	1	as	as	SCONJ
fumecheng-1634	176	2	we	we	PRON
fumecheng-1634	176	3	can	can	AUX
fumecheng-1634	176	4	see	see	VERB
fumecheng-1634	176	5	,	,	PUNCT
fumecheng-1634	176	6	the	the	DET
fumecheng-1634	176	7	residual	residual	ADJ
fumecheng-1634	176	8	stress	stress	NOUN
fumecheng-1634	176	9	alternates	alternate	NOUN
fumecheng-1634	176	10	between	between	ADP
fumecheng-1634	176	11	positive	positive	ADJ
fumecheng-1634	176	12	and	and	CCONJ
fumecheng-1634	176	13	negative	negative	ADJ
fumecheng-1634	176	14	values	value	NOUN
fumecheng-1634	176	15	.	.	PUNCT
fumecheng-1634	177	1	that	that	PRON
fumecheng-1634	177	2	is	is	ADV
fumecheng-1634	177	3	,	,	PUNCT
fumecheng-1634	177	4	the	the	DET
fumecheng-1634	177	5	springs	spring	NOUN
fumecheng-1634	177	6	are	be	AUX
fumecheng-1634	177	7	pointing	point	VERB
fumecheng-1634	177	8	in	in	ADP
fumecheng-1634	177	9	both	both	DET
fumecheng-1634	177	10	directions	direction	NOUN
fumecheng-1634	177	11	.	.	PUNCT
fumecheng-1634	178	1	it	it	PRON
fumecheng-1634	178	2	is	be	AUX
fumecheng-1634	178	3	interesting	interesting	ADJ
fumecheng-1634	178	4	to	to	PART
fumecheng-1634	178	5	see	see	VERB
fumecheng-1634	178	6	,	,	PUNCT
fumecheng-1634	178	7	that	that	SCONJ
fumecheng-1634	178	8	the	the	DET
fumecheng-1634	178	9	different	different	ADJ
fumecheng-1634	178	10	peaks	peak	NOUN
fumecheng-1634	178	11	take	take	VERB
fumecheng-1634	178	12	almost	almost	ADV
fumecheng-1634	178	13	the	the	DET
fumecheng-1634	178	14	same	same	ADJ
fumecheng-1634	178	15	value	value	NOUN
fumecheng-1634	178	16	.	.	PUNCT
fumecheng-1634	179	1	fig	fig	NOUN
fumecheng-1634	179	2	.	.	PUNCT
fumecheng-1634	180	1	4	4	NUM
fumecheng-1634	180	2	shear	shear	NOUN
fumecheng-1634	180	3	stress	stress	NOUN
fumecheng-1634	180	4	in	in	ADP
fumecheng-1634	180	5	the	the	DET
fumecheng-1634	180	6	contact	contact	NOUN
fumecheng-1634	180	7	area	area	NOUN
fumecheng-1634	180	8	after	after	ADP
fumecheng-1634	180	9	20	20	NUM
fumecheng-1634	180	10	reversal	reversal	NOUN
fumecheng-1634	180	11	points	point	NOUN
fumecheng-1634	180	12	.	.	PUNCT
fumecheng-1634	181	1	total	total	ADJ
fumecheng-1634	181	2	amount	amount	NOUN
fumecheng-1634	181	3	nr	nr	PROPN
fumecheng-1634	181	4	of	of	ADP
fumecheng-1634	181	5	reversal	reversal	NOUN
fumecheng-1634	181	6	points	point	NOUN
fumecheng-1634	181	7	is	be	AUX
fumecheng-1634	181	8	20	20	NUM
fumecheng-1634	181	9	reduction	reduction	NOUN
fumecheng-1634	181	10	of	of	ADP
fumecheng-1634	181	11	residual	residual	ADJ
fumecheng-1634	181	12	shear	shear	NOUN
fumecheng-1634	181	13	stress	stress	NOUN
fumecheng-1634	181	14	in	in	ADP
fumecheng-1634	181	15	the	the	DET
fumecheng-1634	181	16	loaded	load	VERB
fumecheng-1634	181	17	contact	contact	NOUN
fumecheng-1634	181	18	using	use	VERB
fumecheng-1634	181	19	friction	friction	NOUN
fumecheng-1634	181	20	hysteresis	hysteresis	NOUN
fumecheng-1634	181	21	167	167	NUM
fumecheng-1634	181	22	the	the	DET
fumecheng-1634	181	23	ultimate	ultimate	ADJ
fumecheng-1634	181	24	purpose	purpose	NOUN
fumecheng-1634	181	25	of	of	ADP
fumecheng-1634	181	26	the	the	DET
fumecheng-1634	181	27	procedure	procedure	NOUN
fumecheng-1634	181	28	is	be	AUX
fumecheng-1634	181	29	to	to	PART
fumecheng-1634	181	30	minimize	minimize	VERB
fumecheng-1634	181	31	shear	shear	NOUN
fumecheng-1634	181	32	stress	stress	NOUN
fumecheng-1634	181	33	in	in	ADP
fumecheng-1634	181	34	the	the	DET
fumecheng-1634	181	35	contact	contact	NOUN
fumecheng-1634	181	36	area	area	NOUN
fumecheng-1634	181	37	.	.	PUNCT
fumecheng-1634	182	1	for	for	ADP
fumecheng-1634	182	2	this	this	PRON
fumecheng-1634	182	3	,	,	PUNCT
fumecheng-1634	182	4	we	we	PRON
fumecheng-1634	182	5	can	can	AUX
fumecheng-1634	182	6	evaluate	evaluate	VERB
fumecheng-1634	182	7	the	the	DET
fumecheng-1634	182	8	shear	shear	NOUN
fumecheng-1634	182	9	stress	stress	ADJ
fumecheng-1634	182	10	distribution	distribution	NOUN
fumecheng-1634	182	11	that	that	PRON
fumecheng-1634	182	12	remains	remain	VERB
fumecheng-1634	182	13	after	after	ADP
fumecheng-1634	182	14	the	the	DET
fumecheng-1634	182	15	dragging	dragging	NOUN
fumecheng-1634	182	16	as	as	SCONJ
fumecheng-1634	182	17	showed	show	VERB
fumecheng-1634	182	18	fig	fig	NOUN
fumecheng-1634	182	19	.	.	PUNCT
fumecheng-1634	183	1	4	4	X
fumecheng-1634	183	2	.	.	X
fumecheng-1634	183	3	for	for	ADP
fumecheng-1634	183	4	the	the	DET
fumecheng-1634	183	5	evaluation	evaluation	NOUN
fumecheng-1634	183	6	,	,	PUNCT
fumecheng-1634	183	7	we	we	PRON
fumecheng-1634	183	8	want	want	VERB
fumecheng-1634	183	9	to	to	PART
fumecheng-1634	183	10	focus	focus	VERB
fumecheng-1634	183	11	on	on	ADP
fumecheng-1634	183	12	the	the	DET
fumecheng-1634	183	13	extreme	extreme	ADJ
fumecheng-1634	183	14	values	value	NOUN
fumecheng-1634	183	15	of	of	ADP
fumecheng-1634	183	16	the	the	DET
fumecheng-1634	183	17	stress	stress	NOUN
fumecheng-1634	183	18	and	and	CCONJ
fumecheng-1634	183	19	calculate	calculate	VERB
fumecheng-1634	183	20	therefore	therefore	ADV
fumecheng-1634	183	21	the	the	DET
fumecheng-1634	183	22	minimum	minimum	ADJ
fumecheng-1634	183	23	,	,	PUNCT
fumecheng-1634	183	24	maximum	maximum	ADJ
fumecheng-1634	183	25	and	and	CCONJ
fumecheng-1634	183	26	arithmetic	arithmetic	ADJ
fumecheng-1634	183	27	mean	mean	NOUN
fumecheng-1634	183	28	of	of	ADP
fumecheng-1634	183	29	the	the	DET
fumecheng-1634	183	30	absolute	absolute	ADJ
fumecheng-1634	183	31	values	value	NOUN
fumecheng-1634	183	32	of	of	ADP
fumecheng-1634	183	33	the	the	DET
fumecheng-1634	183	34	shear	shear	NOUN
fumecheng-1634	183	35	stress	stress	NOUN
fumecheng-1634	183	36	at	at	ADP
fumecheng-1634	183	37	the	the	DET
fumecheng-1634	183	38	end	end	NOUN
fumecheng-1634	183	39	of	of	ADP
fumecheng-1634	183	40	the	the	DET
fumecheng-1634	183	41	dragging	dragging	NOUN
fumecheng-1634	183	42	.	.	PUNCT
fumecheng-1634	184	1	if	if	SCONJ
fumecheng-1634	184	2	we	we	PRON
fumecheng-1634	184	3	do	do	VERB
fumecheng-1634	184	4	this	this	PRON
fumecheng-1634	184	5	for	for	ADP
fumecheng-1634	184	6	different	different	ADJ
fumecheng-1634	184	7	nr	nr	PROPN
fumecheng-1634	184	8	,	,	PUNCT
fumecheng-1634	184	9	we	we	PRON
fumecheng-1634	184	10	get	get	VERB
fumecheng-1634	184	11	fig	fig	NOUN
fumecheng-1634	184	12	.	.	PUNCT
fumecheng-1634	185	1	5	5	NUM
fumecheng-1634	185	2	.	.	X
fumecheng-1634	186	1	as	as	SCONJ
fumecheng-1634	186	2	fig	fig	NOUN
fumecheng-1634	186	3	.	.	PUNCT
fumecheng-1634	186	4	4	4	NUM
fumecheng-1634	186	5	already	already	ADV
fumecheng-1634	186	6	illustrated	illustrate	VERB
fumecheng-1634	186	7	,	,	PUNCT
fumecheng-1634	186	8	the	the	DET
fumecheng-1634	186	9	peaks	peak	NOUN
fumecheng-1634	186	10	are	be	AUX
fumecheng-1634	186	11	quite	quite	ADV
fumecheng-1634	186	12	evenly	evenly	ADV
fumecheng-1634	186	13	and	and	CCONJ
fumecheng-1634	186	14	that	that	PRON
fumecheng-1634	186	15	is	be	AUX
fumecheng-1634	186	16	why	why	SCONJ
fumecheng-1634	186	17	the	the	DET
fumecheng-1634	186	18	minima	minima	NOUN
fumecheng-1634	186	19	and	and	CCONJ
fumecheng-1634	186	20	maxima	maxima	NOUN
fumecheng-1634	186	21	of	of	ADP
fumecheng-1634	186	22	the	the	DET
fumecheng-1634	186	23	absolute	absolute	ADJ
fumecheng-1634	186	24	values	value	NOUN
fumecheng-1634	186	25	are	be	AUX
fumecheng-1634	186	26	close	close	ADJ
fumecheng-1634	186	27	together	together	ADV
fumecheng-1634	186	28	.	.	PUNCT
fumecheng-1634	187	1	as	as	ADP
fumecheng-1634	187	2	fig	fig	NOUN
fumecheng-1634	187	3	.	.	PUNCT
fumecheng-1634	187	4	5	5	NUM
fumecheng-1634	187	5	further	further	ADJ
fumecheng-1634	187	6	shows	show	NOUN
fumecheng-1634	187	7	,	,	PUNCT
fumecheng-1634	187	8	we	we	PRON
fumecheng-1634	187	9	can	can	AUX
fumecheng-1634	187	10	easily	easily	ADV
fumecheng-1634	187	11	reduce	reduce	VERB
fumecheng-1634	187	12	the	the	DET
fumecheng-1634	187	13	shear	shear	NOUN
fumecheng-1634	187	14	stress	stress	NOUN
fumecheng-1634	187	15	in	in	ADP
fumecheng-1634	187	16	the	the	DET
fumecheng-1634	187	17	contact	contact	NOUN
fumecheng-1634	187	18	by	by	ADP
fumecheng-1634	187	19	moving	move	VERB
fumecheng-1634	187	20	a	a	DET
fumecheng-1634	187	21	few	few	ADJ
fumecheng-1634	187	22	times	time	NOUN
fumecheng-1634	187	23	back	back	ADV
fumecheng-1634	187	24	and	and	CCONJ
fumecheng-1634	187	25	forth	forth	ADV
fumecheng-1634	187	26	.	.	PUNCT
fumecheng-1634	188	1	if	if	SCONJ
fumecheng-1634	188	2	for	for	ADP
fumecheng-1634	188	3	example	example	NOUN
fumecheng-1634	188	4	we	we	PRON
fumecheng-1634	188	5	created	create	VERB
fumecheng-1634	188	6	the	the	DET
fumecheng-1634	188	7	maximum	maximum	ADJ
fumecheng-1634	188	8	achievable	achievable	ADJ
fumecheng-1634	188	9	shear	shear	NOUN
fumecheng-1634	188	10	stress	stress	NOUN
fumecheng-1634	188	11	by	by	ADP
fumecheng-1634	188	12	reaching	reach	VERB
fumecheng-1634	188	13	macroscopic	macroscopic	ADJ
fumecheng-1634	188	14	sliding	sliding	NOUN
fumecheng-1634	188	15	,	,	PUNCT
fumecheng-1634	188	16	then	then	ADV
fumecheng-1634	188	17	it	it	PRON
fumecheng-1634	188	18	would	would	AUX
fumecheng-1634	188	19	be	be	AUX
fumecheng-1634	188	20	sufficient	sufficient	ADJ
fumecheng-1634	188	21	to	to	PART
fumecheng-1634	188	22	invert	invert	VERB
fumecheng-1634	188	23	the	the	DET
fumecheng-1634	188	24	initial	initial	ADJ
fumecheng-1634	188	25	movement	movement	NOUN
fumecheng-1634	188	26	direction	direction	NOUN
fumecheng-1634	188	27	twice	twice	ADV
fumecheng-1634	188	28	with	with	ADP
fumecheng-1634	188	29	falling	fall	VERB
fumecheng-1634	188	30	amplitude	amplitude	NOUN
fumecheng-1634	188	31	according	accord	VERB
fumecheng-1634	188	32	to	to	ADP
fumecheng-1634	188	33	eq	eq	PROPN
fumecheng-1634	188	34	.	.	PUNCT
fumecheng-1634	189	1	(	(	PUNCT
fumecheng-1634	189	2	20	20	NUM
fumecheng-1634	189	3	)	)	PUNCT
fumecheng-1634	189	4	,	,	PUNCT
fumecheng-1634	189	5	to	to	PART
fumecheng-1634	189	6	almost	almost	ADV
fumecheng-1634	189	7	halve	halve	VERB
fumecheng-1634	189	8	this	this	DET
fumecheng-1634	189	9	stress	stress	NOUN
fumecheng-1634	189	10	(	(	PUNCT
fumecheng-1634	189	11	nr=2	nr=2	PROPN
fumecheng-1634	189	12	)	)	PUNCT
fumecheng-1634	189	13	.	.	PUNCT
fumecheng-1634	190	1	fig	fig	NOUN
fumecheng-1634	190	2	.	.	PUNCT
fumecheng-1634	191	1	5	5	NUM
fumecheng-1634	191	2	minimum	minimum	ADJ
fumecheng-1634	191	3	,	,	PUNCT
fumecheng-1634	191	4	maximum	maximum	ADJ
fumecheng-1634	191	5	and	and	CCONJ
fumecheng-1634	191	6	arithmetic	arithmetic	ADJ
fumecheng-1634	191	7	mean	mean	NOUN
fumecheng-1634	191	8	of	of	ADP
fumecheng-1634	191	9	the	the	DET
fumecheng-1634	191	10	shear	shear	NOUN
fumecheng-1634	191	11	stress	stress	NOUN
fumecheng-1634	191	12	at	at	ADP
fumecheng-1634	191	13	the	the	DET
fumecheng-1634	191	14	end	end	NOUN
fumecheng-1634	191	15	of	of	ADP
fumecheng-1634	191	16	the	the	DET
fumecheng-1634	191	17	dragging	drag	VERB
fumecheng-1634	191	18	(	(	PUNCT
fumecheng-1634	191	19	k	k	NOUN
fumecheng-1634	191	20	=	=	SYM
fumecheng-1634	191	21	nr+1	nr+1	PROPN
fumecheng-1634	191	22	)	)	PUNCT
fumecheng-1634	191	23	versus	versus	ADP
fumecheng-1634	191	24	different	different	ADJ
fumecheng-1634	191	25	reversal	reversal	NOUN
fumecheng-1634	191	26	point	point	NOUN
fumecheng-1634	191	27	amounts	amount	NOUN
fumecheng-1634	191	28	.	.	PUNCT
fumecheng-1634	192	1	4	4	X
fumecheng-1634	192	2	.	.	X
fumecheng-1634	192	3	conclusion	conclusion	NOUN
fumecheng-1634	192	4	we	we	PRON
fumecheng-1634	192	5	have	have	AUX
fumecheng-1634	192	6	analyzed	analyze	VERB
fumecheng-1634	192	7	the	the	DET
fumecheng-1634	192	8	hertz	hertz	NOUN
fumecheng-1634	192	9	contact	contact	NOUN
fumecheng-1634	192	10	with	with	ADP
fumecheng-1634	192	11	the	the	DET
fumecheng-1634	192	12	coulomb	coulomb	NOUN
fumecheng-1634	192	13	friction	friction	NOUN
fumecheng-1634	192	14	for	for	ADP
fumecheng-1634	192	15	the	the	DET
fumecheng-1634	192	16	case	case	NOUN
fumecheng-1634	192	17	that	that	SCONJ
fumecheng-1634	192	18	the	the	DET
fumecheng-1634	192	19	spherical	spherical	ADJ
fumecheng-1634	192	20	indenter	indenter	NOUN
fumecheng-1634	192	21	is	be	AUX
fumecheng-1634	192	22	being	be	AUX
fumecheng-1634	192	23	moved	move	VERB
fumecheng-1634	192	24	with	with	ADP
fumecheng-1634	192	25	falling	fall	VERB
fumecheng-1634	192	26	amplitudes	amplitude	NOUN
fumecheng-1634	192	27	tangentially	tangentially	ADV
fumecheng-1634	192	28	to	to	ADP
fumecheng-1634	192	29	a	a	DET
fumecheng-1634	192	30	plane	plane	NOUN
fumecheng-1634	192	31	.	.	PUNCT
fumecheng-1634	193	1	with	with	ADP
fumecheng-1634	193	2	the	the	DET
fumecheng-1634	193	3	aid	aid	NOUN
fumecheng-1634	193	4	of	of	ADP
fumecheng-1634	193	5	the	the	DET
fumecheng-1634	193	6	method	method	NOUN
fumecheng-1634	193	7	of	of	ADP
fumecheng-1634	193	8	dimensionality	dimensionality	NOUN
fumecheng-1634	193	9	reduction	reduction	NOUN
fumecheng-1634	193	10	(	(	PUNCT
fumecheng-1634	193	11	mdr	mdr	PROPN
fumecheng-1634	193	12	)	)	PUNCT
fumecheng-1634	193	13	,	,	PUNCT
fumecheng-1634	193	14	we	we	PRON
fumecheng-1634	193	15	divided	divide	VERB
fumecheng-1634	193	16	the	the	DET
fumecheng-1634	193	17	contact	contact	NOUN
fumecheng-1634	193	18	area	area	NOUN
fumecheng-1634	193	19	at	at	ADP
fumecheng-1634	193	20	every	every	DET
fumecheng-1634	193	21	step	step	NOUN
fumecheng-1634	193	22	into	into	ADP
fumecheng-1634	193	23	a	a	DET
fumecheng-1634	193	24	stick	stick	NOUN
fumecheng-1634	193	25	and	and	CCONJ
fumecheng-1634	193	26	a	a	DET
fumecheng-1634	193	27	slip	slip	NOUN
fumecheng-1634	193	28	area	area	NOUN
fumecheng-1634	193	29	and	and	CCONJ
fumecheng-1634	193	30	subsequently	subsequently	ADV
fumecheng-1634	193	31	determined	determine	VERB
fumecheng-1634	193	32	the	the	DET
fumecheng-1634	193	33	shear	shear	NOUN
fumecheng-1634	193	34	stress	stress	NOUN
fumecheng-1634	193	35	distribution	distribution	NOUN
fumecheng-1634	193	36	.	.	PUNCT
fumecheng-1634	194	1	we	we	PRON
fumecheng-1634	194	2	find	find	VERB
fumecheng-1634	194	3	that	that	SCONJ
fumecheng-1634	194	4	after	after	ADP
fumecheng-1634	194	5	the	the	DET
fumecheng-1634	194	6	movements	movement	NOUN
fumecheng-1634	194	7	,	,	PUNCT
fumecheng-1634	194	8	the	the	DET
fumecheng-1634	194	9	remaining	remain	VERB
fumecheng-1634	194	10	stress	stress	NOUN
fumecheng-1634	194	11	has	have	VERB
fumecheng-1634	194	12	comparable	comparable	ADJ
fumecheng-1634	194	13	portion	portion	NOUN
fumecheng-1634	194	14	in	in	ADP
fumecheng-1634	194	15	both	both	DET
fumecheng-1634	194	16	directions	direction	NOUN
fumecheng-1634	194	17	.	.	PUNCT
fumecheng-1634	195	1	with	with	ADP
fumecheng-1634	195	2	respect	respect	NOUN
fumecheng-1634	195	3	to	to	ADP
fumecheng-1634	195	4	the	the	DET
fumecheng-1634	195	5	radial	radial	ADJ
fumecheng-1634	195	6	coordinate	coordinate	NOUN
fumecheng-1634	195	7	,	,	PUNCT
fumecheng-1634	195	8	it	it	PRON
fumecheng-1634	195	9	changes	change	VERB
fumecheng-1634	195	10	orientation	orientation	NOUN
fumecheng-1634	195	11	in	in	ADP
fumecheng-1634	195	12	close	close	ADJ
fumecheng-1634	195	13	succession	succession	NOUN
fumecheng-1634	195	14	.	.	PUNCT
fumecheng-1634	196	1	the	the	DET
fumecheng-1634	196	2	peaks	peak	NOUN
fumecheng-1634	196	3	of	of	ADP
fumecheng-1634	196	4	this	this	DET
fumecheng-1634	196	5	curve	curve	NOUN
fumecheng-1634	196	6	are	be	AUX
fumecheng-1634	196	7	equally	equally	ADV
fumecheng-1634	196	8	large	large	ADJ
fumecheng-1634	196	9	in	in	ADP
fumecheng-1634	196	10	good	good	ADJ
fumecheng-1634	196	11	approximation	approximation	NOUN
fumecheng-1634	196	12	.	.	PUNCT
fumecheng-1634	197	1	168	168	NUM
fumecheng-1634	197	2	a.	a.	NOUN
fumecheng-1634	197	3	kraft	kraft	NOUN
fumecheng-1634	197	4	,	,	PUNCT
fumecheng-1634	197	5	r.	r.	PROPN
fumecheng-1634	197	6	pohrt	pohrt	VERB
fumecheng-1634	197	7	the	the	DET
fumecheng-1634	197	8	back	back	VERB
fumecheng-1634	197	9	-	-	PUNCT
fumecheng-1634	197	10	and	and	CCONJ
fumecheng-1634	197	11	-	-	PUNCT
fumecheng-1634	197	12	forth	forth	ADV
fumecheng-1634	197	13	tangential	tangential	ADJ
fumecheng-1634	197	14	movement	movement	NOUN
fumecheng-1634	197	15	proves	prove	VERB
fumecheng-1634	197	16	to	to	PART
fumecheng-1634	197	17	be	be	AUX
fumecheng-1634	197	18	a	a	DET
fumecheng-1634	197	19	good	good	ADJ
fumecheng-1634	197	20	way	way	NOUN
fumecheng-1634	197	21	to	to	PART
fumecheng-1634	197	22	reduce	reduce	VERB
fumecheng-1634	197	23	the	the	DET
fumecheng-1634	197	24	residual	residual	ADJ
fumecheng-1634	197	25	shear	shear	NOUN
fumecheng-1634	197	26	stress	stress	NOUN
fumecheng-1634	197	27	inside	inside	ADP
fumecheng-1634	197	28	a	a	DET
fumecheng-1634	197	29	frictional	frictional	ADJ
fumecheng-1634	197	30	contract	contract	NOUN
fumecheng-1634	197	31	.	.	PUNCT
fumecheng-1634	198	1	with	with	ADP
fumecheng-1634	198	2	only	only	ADV
fumecheng-1634	198	3	a	a	DET
fumecheng-1634	198	4	few	few	ADJ
fumecheng-1634	198	5	iterations	iteration	NOUN
fumecheng-1634	198	6	,	,	PUNCT
fumecheng-1634	198	7	the	the	DET
fumecheng-1634	198	8	maximum	maximum	ADJ
fumecheng-1634	198	9	stress	stress	NOUN
fumecheng-1634	198	10	value	value	NOUN
fumecheng-1634	198	11	can	can	AUX
fumecheng-1634	198	12	be	be	AUX
fumecheng-1634	198	13	reduced	reduce	VERB
fumecheng-1634	198	14	effectively	effectively	ADV
fumecheng-1634	198	15	.	.	PUNCT
fumecheng-1634	199	1	references	reference	NOUN
fumecheng-1634	199	2	1	1	NUM
fumecheng-1634	199	3	.	.	PUNCT
fumecheng-1634	199	4	hertz	hertz	NOUN
fumecheng-1634	199	5	,	,	PUNCT
fumecheng-1634	199	6	h.	h.	PROPN
fumecheng-1634	199	7	,	,	PUNCT
fumecheng-1634	199	8	1881	1881	NUM
fumecheng-1634	199	9	,	,	PUNCT
fumecheng-1634	199	10	über	über	PROPN
fumecheng-1634	199	11	die	die	PROPN
fumecheng-1634	199	12	berührung	berührung	PROPN
fumecheng-1634	199	13	fester	fester	PROPN
fumecheng-1634	199	14	elastischer	elastischer	ADJ
fumecheng-1634	199	15	körper	körper	NOUN
fumecheng-1634	199	16	,	,	PUNCT
fumecheng-1634	199	17	journal	journal	NOUN
fumecheng-1634	199	18	für	für	PROPN
fumecheng-1634	199	19	die	die	VERB
fumecheng-1634	199	20	reine	reine	PROPN
fumecheng-1634	199	21	und	und	PROPN
fumecheng-1634	199	22	angewandte	angewandte	PROPN
fumecheng-1634	199	23	mathematik	mathematik	PROPN
fumecheng-1634	199	24	,	,	PUNCT
fumecheng-1634	199	25	92	92	NUM
fumecheng-1634	199	26	,	,	PUNCT
fumecheng-1634	199	27	pp	pp	ADJ
fumecheng-1634	199	28	.	.	PUNCT
fumecheng-1634	200	1	156	156	NUM
fumecheng-1634	200	2	-	-	SYM
fumecheng-1634	200	3	171	171	NUM
fumecheng-1634	200	4	.	.	PUNCT
fumecheng-1634	201	1	2	2	X
fumecheng-1634	201	2	.	.	X
fumecheng-1634	201	3	popov	popov	PROPN
fumecheng-1634	201	4	,	,	PUNCT
fumecheng-1634	201	5	v.l	v.l	PROPN
fumecheng-1634	201	6	.	.	PROPN
fumecheng-1634	201	7	,	,	PUNCT
fumecheng-1634	201	8	heß	heß	PROPN
fumecheng-1634	201	9	,	,	PUNCT
fumecheng-1634	201	10	m.	m.	NOUN
fumecheng-1634	201	11	,	,	PUNCT
fumecheng-1634	201	12	2015	2015	NUM
fumecheng-1634	201	13	,	,	PUNCT
fumecheng-1634	201	14	method	method	NOUN
fumecheng-1634	201	15	of	of	ADP
fumecheng-1634	201	16	dimensionality	dimensionality	NOUN
fumecheng-1634	201	17	reduction	reduction	NOUN
fumecheng-1634	201	18	in	in	ADP
fumecheng-1634	201	19	contact	contact	NOUN
fumecheng-1634	201	20	mechanics	mechanic	NOUN
fumecheng-1634	201	21	and	and	CCONJ
fumecheng-1634	201	22	friction	friction	NOUN
fumecheng-1634	201	23	,	,	PUNCT
fumecheng-1634	201	24	springer	springer	NOUN
fumecheng-1634	201	25	.	.	PUNCT
fumecheng-1634	202	1	3	3	X
fumecheng-1634	202	2	.	.	X
fumecheng-1634	202	3	mindlin	mindlin	PROPN
fumecheng-1634	202	4	,	,	PUNCT
fumecheng-1634	202	5	r.	r.	PROPN
fumecheng-1634	202	6	,	,	PUNCT
fumecheng-1634	202	7	mason	mason	PROPN
fumecheng-1634	202	8	,	,	PUNCT
fumecheng-1634	202	9	w.	w.	PROPN
fumecheng-1634	202	10	,	,	PUNCT
fumecheng-1634	202	11	osmer	osmer	PROPN
fumecheng-1634	202	12	,	,	PUNCT
fumecheng-1634	202	13	j.	j.	PROPN
fumecheng-1634	202	14	,	,	PUNCT
fumecheng-1634	202	15	deresiewicz	deresiewicz	PROPN
fumecheng-1634	202	16	,	,	PUNCT
fumecheng-1634	202	17	h.	h.	PROPN
fumecheng-1634	202	18	,	,	PUNCT
fumecheng-1634	202	19	1952	1952	NUM
fumecheng-1634	202	20	,	,	PUNCT
fumecheng-1634	202	21	effects	effect	NOUN
fumecheng-1634	202	22	of	of	ADP
fumecheng-1634	202	23	an	an	DET
fumecheng-1634	202	24	oscillating	oscillate	VERB
fumecheng-1634	202	25	tangential	tangential	ADJ
fumecheng-1634	202	26	force	force	NOUN
fumecheng-1634	202	27	on	on	ADP
fumecheng-1634	202	28	the	the	DET
fumecheng-1634	202	29	contact	contact	NOUN
fumecheng-1634	202	30	surfaces	surface	NOUN
fumecheng-1634	202	31	of	of	ADP
fumecheng-1634	202	32	elastic	elastic	ADJ
fumecheng-1634	202	33	spheres	sphere	NOUN
fumecheng-1634	202	34	,	,	PUNCT
fumecheng-1634	202	35	proc	proc	NOUN
fumecheng-1634	202	36	.	.	PUNCT
fumecheng-1634	203	1	1st	1st	NOUN
fumecheng-1634	203	2	.	.	PUNCT
fumecheng-1634	204	1	us	us	PROPN
fumecheng-1634	204	2	nat'l	nat'l	PROPN
fumecheng-1634	204	3	.	.	PUNCT
fumecheng-1634	204	4	congr	congr	PROPN
fumecheng-1634	204	5	.	.	PUNCT
fumecheng-1634	205	1	appl	appl	PROPN
fumecheng-1634	205	2	.	.	PROPN
fumecheng-1634	205	3	mech	mech	PROPN
fumecheng-1634	205	4	.	.	PUNCT
fumecheng-1634	206	1	asme	asme	PROPN
fumecheng-1634	206	2	new	new	PROPN
fumecheng-1634	206	3	york	york	PROPN
fumecheng-1634	206	4	,	,	PUNCT
fumecheng-1634	206	5	pp	pp	PROPN
fumecheng-1634	206	6	.	.	PUNCT
fumecheng-1634	207	1	203	203	NUM
fumecheng-1634	207	2	-	-	SYM
fumecheng-1634	207	3	208	208	NUM
fumecheng-1634	207	4	.	.	PUNCT
fumecheng-1634	208	1	4	4	X
fumecheng-1634	208	2	.	.	X
fumecheng-1634	208	3	borri	borri	NOUN
fumecheng-1634	208	4	-	-	PUNCT
fumecheng-1634	208	5	brunetto	brunetto	NOUN
fumecheng-1634	208	6	,	,	PUNCT
fumecheng-1634	208	7	m.	m.	NOUN
fumecheng-1634	208	8	,	,	PUNCT
fumecheng-1634	208	9	carpinteri	carpinteri	PROPN
fumecheng-1634	208	10	,	,	PUNCT
fumecheng-1634	208	11	a.	a.	NOUN
fumecheng-1634	208	12	,	,	PUNCT
fumecheng-1634	208	13	invernizzi	invernizzi	PROPN
fumecheng-1634	208	14	,	,	PUNCT
fumecheng-1634	208	15	s.	s.	PROPN
fumecheng-1634	208	16	&	&	CCONJ
fumecheng-1634	208	17	paggi	paggi	PROPN
fumecheng-1634	208	18	,	,	PUNCT
fumecheng-1634	208	19	m.	m.	NOUN
fumecheng-1634	208	20	,	,	PUNCT
fumecheng-1634	208	21	2005	2005	NUM
fumecheng-1634	208	22	,	,	PUNCT
fumecheng-1634	208	23	micro	micro	NOUN
fumecheng-1634	208	24	-	-	NOUN
fumecheng-1634	208	25	slip	slip	NOUN
fumecheng-1634	208	26	of	of	ADP
fumecheng-1634	208	27	rough	rough	ADJ
fumecheng-1634	208	28	surfaces	surface	NOUN
fumecheng-1634	208	29	under	under	ADP
fumecheng-1634	208	30	cyclic	cyclic	ADJ
fumecheng-1634	208	31	tangential	tangential	ADJ
fumecheng-1634	208	32	loading	loading	NOUN
fumecheng-1634	208	33	,	,	PUNCT
fumecheng-1634	208	34	proceedings	proceeding	NOUN
fumecheng-1634	208	35	of	of	ADP
fumecheng-1634	208	36	the	the	DET
fumecheng-1634	208	37	4th	4th	ADJ
fumecheng-1634	208	38	contact	contact	NOUN
fumecheng-1634	208	39	mechanics	mechanic	NOUN
fumecheng-1634	208	40	international	international	ADJ
fumecheng-1634	208	41	symposium	symposium	NOUN
fumecheng-1634	208	42	,	,	PUNCT
fumecheng-1634	208	43	pp	pp	ADJ
fumecheng-1634	208	44	.	.	PUNCT
fumecheng-1634	209	1	333	333	NUM
fumecheng-1634	209	2	-	-	SYM
fumecheng-1634	209	3	340	340	NUM
fumecheng-1634	209	4	.	.	PUNCT
fumecheng-1634	210	1	5	5	NUM
fumecheng-1634	210	2	.	.	X
fumecheng-1634	210	3	ciavarella	ciavarella	NOUN
fumecheng-1634	210	4	,	,	PUNCT
fumecheng-1634	210	5	m.	m.	NOUN
fumecheng-1634	210	6	,	,	PUNCT
fumecheng-1634	210	7	2013	2013	NUM
fumecheng-1634	210	8	,	,	PUNCT
fumecheng-1634	210	9	frictional	frictional	ADJ
fumecheng-1634	210	10	energy	energy	NOUN
fumecheng-1634	210	11	dissipation	dissipation	NOUN
fumecheng-1634	210	12	in	in	ADP
fumecheng-1634	210	13	hertzian	hertzian	ADJ
fumecheng-1634	210	14	contact	contact	NOUN
fumecheng-1634	210	15	under	under	ADP
fumecheng-1634	210	16	biaxial	biaxial	ADJ
fumecheng-1634	210	17	tangential	tangential	ADJ
fumecheng-1634	210	18	harmonically	harmonically	ADV
fumecheng-1634	210	19	varying	vary	VERB
fumecheng-1634	210	20	loads	load	NOUN
fumecheng-1634	210	21	,	,	PUNCT
fumecheng-1634	210	22	j	j	PROPN
fumecheng-1634	210	23	strain	strain	NOUN
fumecheng-1634	210	24	analysis	analysis	NOUN
fumecheng-1634	210	25	,	,	PUNCT
fumecheng-1634	210	26	49(1	49(1	NOUN
fumecheng-1634	210	27	)	)	PUNCT
fumecheng-1634	210	28	,	,	PUNCT
fumecheng-1634	210	29	pp	pp	PROPN
fumecheng-1634	210	30	.	.	PUNCT
fumecheng-1634	211	1	27	27	NUM
fumecheng-1634	211	2	-	-	SYM
fumecheng-1634	211	3	32	32	NUM
fumecheng-1634	211	4	.	.	PUNCT
fumecheng-1634	212	1	6	6	NUM
fumecheng-1634	212	2	.	.	X
fumecheng-1634	212	3	e.	e.	PROPN
fumecheng-1634	212	4	madelung	madelung	PROPN
fumecheng-1634	212	5	,	,	PUNCT
fumecheng-1634	212	6	1905	1905	NUM
fumecheng-1634	212	7	,	,	PUNCT
fumecheng-1634	212	8	über	über	PROPN
fumecheng-1634	212	9	magnetisierung	magnetisierung	ADJ
fumecheng-1634	212	10	durch	durch	PROPN
fumecheng-1634	212	11	schnell	schnell	PROPN
fumecheng-1634	212	12	verlaufende	verlaufende	NOUN
fumecheng-1634	212	13	ströme	ströme	NOUN
fumecheng-1634	212	14	und	und	VERB
fumecheng-1634	212	15	die	die	VERB
fumecheng-1634	212	16	wirkungsweise	wirkungsweise	PROPN
fumecheng-1634	212	17	des	des	PROPN
fumecheng-1634	212	18	rutherford	rutherford	PROPN
fumecheng-1634	212	19	-	-	PUNCT
fumecheng-1634	212	20	marconischen	marconischen	PROPN
fumecheng-1634	212	21	magnetdetektors	magnetdetektor	NOUN
fumecheng-1634	212	22	,	,	PUNCT
fumecheng-1634	212	23	ann	ann	PROPN
fumecheng-1634	212	24	.	.	PUNCT
fumecheng-1634	213	1	phys	phys	PROPN
fumecheng-1634	213	2	.	.	PUNCT
fumecheng-1634	213	3	,	,	PUNCT
fumecheng-1634	213	4	322(10	322(10	NUM
fumecheng-1634	213	5	)	)	PUNCT
fumecheng-1634	213	6	,	,	PUNCT
fumecheng-1634	213	7	pp	pp	PROPN
fumecheng-1634	213	8	.	.	PUNCT
fumecheng-1634	214	1	861	861	NUM
fumecheng-1634	214	2	-	-	SYM
fumecheng-1634	214	3	890	890	NUM
fumecheng-1634	214	4	.	.	X
fumecheng-1634	214	5	7	7	X
fumecheng-1634	214	6	.	.	X
fumecheng-1634	214	7	pohrt	pohrt	PROPN
fumecheng-1634	214	8	,	,	PUNCT
fumecheng-1634	214	9	r.	r.	PROPN
fumecheng-1634	214	10	,	,	PUNCT
fumecheng-1634	214	11	li	li	PROPN
fumecheng-1634	214	12	,	,	PUNCT
fumecheng-1634	214	13	q.	q.	PROPN
fumecheng-1634	214	14	,	,	PUNCT
fumecheng-1634	214	15	2014	2014	NUM
fumecheng-1634	214	16	,	,	PUNCT
fumecheng-1634	214	17	complete	complete	ADJ
fumecheng-1634	214	18	boundary	boundary	ADJ
fumecheng-1634	214	19	element	element	NOUN
fumecheng-1634	214	20	formulation	formulation	NOUN
fumecheng-1634	214	21	for	for	ADP
fumecheng-1634	214	22	normal	normal	ADJ
fumecheng-1634	214	23	and	and	CCONJ
fumecheng-1634	214	24	tangential	tangential	ADJ
fumecheng-1634	214	25	contact	contact	NOUN
fumecheng-1634	214	26	problems	problem	NOUN
fumecheng-1634	214	27	,	,	PUNCT
fumecheng-1634	214	28	physical	physical	ADJ
fumecheng-1634	214	29	mesomechanics	mesomechanic	NOUN
fumecheng-1634	214	30	,	,	PUNCT
fumecheng-1634	214	31	17/4	17/4	NUM
fumecheng-1634	214	32	,	,	PUNCT
fumecheng-1634	214	33	pp	pp	ADJ
fumecheng-1634	214	34	.	.	PUNCT
fumecheng-1634	215	1	334	334	NUM
fumecheng-1634	215	2	-	-	SYM
fumecheng-1634	215	3	340	340	NUM
fumecheng-1634	215	4	.	.	PUNCT
fumecheng-1634	216	1	8	8	NUM
fumecheng-1634	216	2	.	.	PUNCT
fumecheng-1634	217	1	popov	popov	PROPN
fumecheng-1634	217	2	,	,	PUNCT
fumecheng-1634	217	3	v.	v.	PROPN
fumecheng-1634	217	4	l.	l.	PROPN
fumecheng-1634	217	5	,	,	PUNCT
fumecheng-1634	217	6	2014	2014	NUM
fumecheng-1634	217	7	,	,	PUNCT
fumecheng-1634	217	8	analytic	analytic	ADJ
fumecheng-1634	217	9	solution	solution	NOUN
fumecheng-1634	217	10	for	for	ADP
fumecheng-1634	217	11	the	the	DET
fumecheng-1634	217	12	limiting	limit	VERB
fumecheng-1634	217	13	shape	shape	NOUN
fumecheng-1634	217	14	of	of	ADP
fumecheng-1634	217	15	profiles	profile	NOUN
fumecheng-1634	217	16	due	due	ADJ
fumecheng-1634	217	17	to	to	ADP
fumecheng-1634	217	18	fretting	fret	VERB
fumecheng-1634	217	19	wear	wear	NOUN
fumecheng-1634	217	20	,	,	PUNCT
fumecheng-1634	217	21	scientific	scientific	ADJ
fumecheng-1634	217	22	reports	report	NOUN
fumecheng-1634	217	23	,	,	PUNCT
fumecheng-1634	217	24	4	4	NUM
fumecheng-1634	217	25	,	,	PUNCT
fumecheng-1634	217	26	doi:10.1038	doi:10.1038	NOUN
fumecheng-1634	217	27	/	/	SYM
fumecheng-1634	217	28	srep03749	srep03749	PROPN
fumecheng-1634	217	29	9	9	NUM
fumecheng-1634	217	30	.	.	PUNCT
fumecheng-1634	218	1	aleshin	aleshin	PROPN
fumecheng-1634	218	2	,	,	PUNCT
fumecheng-1634	218	3	v.	v.	NOUN
fumecheng-1634	218	4	,	,	PUNCT
fumecheng-1634	218	5	abeele	abeele	PROPN
fumecheng-1634	218	6	,	,	PUNCT
fumecheng-1634	218	7	k.	k.	PROPN
fumecheng-1634	219	1	v.	v.	PROPN
fumecheng-1634	219	2	d.	d.	PROPN
fumecheng-1634	219	3	,	,	PUNCT
fumecheng-1634	219	4	2012	2012	NUM
fumecheng-1634	219	5	,	,	PUNCT
fumecheng-1634	219	6	hertz	hertz	NOUN
fumecheng-1634	219	7	–	–	PUNCT
fumecheng-1634	219	8	mindlin	mindlin	NOUN
fumecheng-1634	219	9	problem	problem	NOUN
fumecheng-1634	219	10	for	for	ADP
fumecheng-1634	219	11	arbitrary	arbitrary	ADJ
fumecheng-1634	219	12	oblique	oblique	ADJ
fumecheng-1634	219	13	2d	2d	NOUN
fumecheng-1634	219	14	loading	loading	NOUN
fumecheng-1634	219	15	:	:	PUNCT
fumecheng-1634	219	16	general	general	ADJ
fumecheng-1634	219	17	solution	solution	NOUN
fumecheng-1634	219	18	by	by	ADP
fumecheng-1634	219	19	memory	memory	NOUN
fumecheng-1634	219	20	diagrams	diagram	NOUN
fumecheng-1634	219	21	,	,	PUNCT
fumecheng-1634	219	22	journal	journal	NOUN
fumecheng-1634	219	23	of	of	ADP
fumecheng-1634	219	24	the	the	DET
fumecheng-1634	219	25	mechanics	mechanic	NOUN
fumecheng-1634	219	26	and	and	CCONJ
fumecheng-1634	219	27	physics	physic	NOUN
fumecheng-1634	219	28	of	of	ADP
fumecheng-1634	219	29	solids	solid	NOUN
fumecheng-1634	219	30	,	,	PUNCT
fumecheng-1634	219	31	60/1	60/1	NUM
fumecheng-1634	219	32	,	,	PUNCT
fumecheng-1634	219	33	pp	pp	ADJ
fumecheng-1634	219	34	.	.	PUNCT
fumecheng-1634	220	1	14	14	NUM
fumecheng-1634	220	2	-	-	SYM
fumecheng-1634	220	3	36	36	NUM
fumecheng-1634	220	4	.	.	PUNCT
fumecheng-1634	221	1	10	10	NUM
fumecheng-1634	221	2	.	.	PUNCT
fumecheng-1634	222	1	aleshin	aleshin	PROPN
fumecheng-1634	222	2	,	,	PUNCT
fumecheng-1634	222	3	v.	v.	NOUN
fumecheng-1634	222	4	,	,	PUNCT
fumecheng-1634	222	5	abeele	abeele	PROPN
fumecheng-1634	222	6	,	,	PUNCT
fumecheng-1634	222	7	k.	k.	PROPN
fumecheng-1634	223	1	v.	v.	PROPN
fumecheng-1634	223	2	d.	d.	PROPN
fumecheng-1634	223	3	,	,	PUNCT
fumecheng-1634	223	4	2009	2009	NUM
fumecheng-1634	223	5	,	,	PUNCT
fumecheng-1634	223	6	preisach	preisach	VERB
fumecheng-1634	223	7	analysis	analysis	NOUN
fumecheng-1634	223	8	of	of	ADP
fumecheng-1634	223	9	the	the	DET
fumecheng-1634	223	10	hertz	hertz	NOUN
fumecheng-1634	223	11	–	–	PUNCT
fumecheng-1634	223	12	mindlin	mindlin	NOUN
fumecheng-1634	223	13	system	system	NOUN
fumecheng-1634	223	14	,	,	PUNCT
fumecheng-1634	223	15	journal	journal	NOUN
fumecheng-1634	223	16	of	of	ADP
fumecheng-1634	223	17	the	the	DET
fumecheng-1634	223	18	mechanics	mechanic	NOUN
fumecheng-1634	223	19	and	and	CCONJ
fumecheng-1634	223	20	physics	physic	NOUN
fumecheng-1634	223	21	of	of	ADP
fumecheng-1634	223	22	solids	solid	NOUN
fumecheng-1634	223	23	,	,	PUNCT
fumecheng-1634	223	24	57	57	NUM
fumecheng-1634	223	25	,	,	PUNCT
fumecheng-1634	223	26	pp	pp	ADJ
fumecheng-1634	223	27	.	.	PUNCT
fumecheng-1634	224	1	657	657	NUM
fumecheng-1634	224	2	-	-	SYM
fumecheng-1634	224	3	672	672	NUM
fumecheng-1634	224	4	.	.	PUNCT
fumecheng-1634	225	1	11	11	NUM
fumecheng-1634	225	2	.	.	PUNCT
fumecheng-1634	226	1	popov	popov	PROPN
fumecheng-1634	226	2	,	,	PUNCT
fumecheng-1634	226	3	v.	v.	ADV
fumecheng-1634	226	4	,	,	PUNCT
fumecheng-1634	226	5	gray	gray	ADJ
fumecheng-1634	226	6	,	,	PUNCT
fumecheng-1634	226	7	j.	j.	PROPN
fumecheng-1634	226	8	,	,	PUNCT
fumecheng-1634	226	9	2012	2012	NUM
fumecheng-1634	226	10	,	,	PUNCT
fumecheng-1634	226	11	prandtl	prandtl	NOUN
fumecheng-1634	226	12	-	-	PUNCT
fumecheng-1634	226	13	tomlinson	tomlinson	NOUN
fumecheng-1634	226	14	model	model	NOUN
fumecheng-1634	226	15	:	:	PUNCT
fumecheng-1634	226	16	history	history	NOUN
fumecheng-1634	226	17	and	and	CCONJ
fumecheng-1634	226	18	applications	application	NOUN
fumecheng-1634	226	19	in	in	ADP
fumecheng-1634	226	20	friction	friction	NOUN
fumecheng-1634	226	21	,	,	PUNCT
fumecheng-1634	226	22	plasticity	plasticity	NOUN
fumecheng-1634	226	23	,	,	PUNCT
fumecheng-1634	226	24	and	and	CCONJ
fumecheng-1634	226	25	nanotechnologies	nanotechnology	NOUN
fumecheng-1634	226	26	,	,	PUNCT
fumecheng-1634	226	27	z.	z.	PROPN
fumecheng-1634	226	28	angew	angew	PROPN
fumecheng-1634	226	29	.	.	PUNCT
fumecheng-1634	227	1	math	math	PROPN
fumecheng-1634	227	2	.	.	PUNCT
fumecheng-1634	228	1	mech	mech	PROPN
fumecheng-1634	228	2	.	.	PROPN
fumecheng-1634	228	3	,	,	PUNCT
fumecheng-1634	229	1	92/9	92/9	NUM
fumecheng-1634	229	2	,	,	PUNCT
fumecheng-1634	229	3	pp	pp	ADJ
fumecheng-1634	229	4	.	.	PUNCT
fumecheng-1634	230	1	683	683	NUM
fumecheng-1634	230	2	-	-	SYM
fumecheng-1634	230	3	708	708	NUM
fumecheng-1634	230	4	.	.	PUNCT
fumecheng-1634	231	1	12	12	NUM
fumecheng-1634	231	2	.	.	PUNCT
fumecheng-1634	232	1	prandtl	prandtl	PROPN
fumecheng-1634	232	2	,	,	PUNCT
fumecheng-1634	232	3	l.	l.	PROPN
fumecheng-1634	232	4	,	,	PUNCT
fumecheng-1634	232	5	1928	1928	NUM
fumecheng-1634	232	6	,	,	PUNCT
fumecheng-1634	232	7	ein	ein	PROPN
fumecheng-1634	232	8	gedankenmodell	gedankenmodell	PROPN
fumecheng-1634	232	9	zur	zur	PROPN
fumecheng-1634	232	10	kinetischen	kinetischen	PROPN
fumecheng-1634	232	11	theorie	theorie	PROPN
fumecheng-1634	232	12	der	der	PROPN
fumecheng-1634	232	13	festen	festen	ADJ
fumecheng-1634	232	14	körper	körper	NOUN
fumecheng-1634	232	15	,	,	PUNCT
fumecheng-1634	232	16	z.	z.	PROPN
fumecheng-1634	232	17	angew	angew	PROPN
fumecheng-1634	232	18	.	.	PUNCT
fumecheng-1634	233	1	math	math	PROPN
fumecheng-1634	233	2	.	.	PUNCT
fumecheng-1634	234	1	mech	mech	PROPN
fumecheng-1634	234	2	.	.	PROPN
fumecheng-1634	234	3	,	,	PUNCT
fumecheng-1634	234	4	8	8	NUM
fumecheng-1634	234	5	,	,	PUNCT
fumecheng-1634	234	6	pp	pp	ADJ
fumecheng-1634	234	7	.	.	PUNCT
fumecheng-1634	234	8	85	85	NUM
fumecheng-1634	234	9	-	-	SYM
fumecheng-1634	234	10	106	106	NUM
fumecheng-1634	234	11	.	.	PUNCT