id	sid	tid	token	lemma	pos
fumecheng-2860	1	1	plane	plane	NOUN
fumecheng-2860	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-2860	1	3	waves	wave	NOUN
fumecheng-2860	1	4	in	in	ADP
fumecheng-2860	1	5	infinite	infinite	ADJ
fumecheng-2860	1	6	half	half	ADJ
fumecheng-2860	1	7	-	-	PUNCT
fumecheng-2860	1	8	space	space	NOUN
fumecheng-2860	1	9	caused	cause	VERB
fumecheng-2860	1	10	facta	facta	PROPN
fumecheng-2860	1	11	universitatis	universitatis	PROPN
fumecheng-2860	1	12	series	series	NOUN
fumecheng-2860	1	13	:	:	PUNCT
fumecheng-2860	1	14	mechanical	mechanical	ADJ
fumecheng-2860	1	15	engineering	engineering	NOUN
fumecheng-2860	1	16	vol	vol	NOUN
fumecheng-2860	1	17	.	.	PROPN
fumecheng-2860	2	1	15	15	NUM
fumecheng-2860	2	2	,	,	PUNCT
fumecheng-2860	2	3	no	no	DET
fumecheng-2860	2	4	2	2	NUM
fumecheng-2860	2	5	,	,	PUNCT
fumecheng-2860	2	6	2017	2017	NUM
fumecheng-2860	2	7	,	,	PUNCT
fumecheng-2860	2	8	pp	pp	ADJ
fumecheng-2860	2	9	.	.	PUNCT
fumecheng-2860	3	1	295	295	NUM
fumecheng-2860	3	2	306	306	NUM
fumecheng-2860	3	3	doi	doi	NOUN
fumecheng-2860	3	4	:	:	PUNCT
fumecheng-2860	3	5	10.22190	10.22190	NUM
fumecheng-2860	3	6	/	/	SYM
fumecheng-2860	3	7	fume170503007d	fume170503007d	PROPN
fumecheng-2860	3	8	©	©	PROPN
fumecheng-2860	3	9	2017	2017	NUM
fumecheng-2860	3	10	by	by	ADP
fumecheng-2860	3	11	university	university	PROPN
fumecheng-2860	3	12	of	of	ADP
fumecheng-2860	3	13	niš	niš	PROPN
fumecheng-2860	3	14	,	,	PUNCT
fumecheng-2860	3	15	serbia	serbia	PROPN
fumecheng-2860	3	16	|	|	ADV
fumecheng-2860	3	17	creative	creative	ADJ
fumecheng-2860	3	18	commons	common	NOUN
fumecheng-2860	3	19	licence	licence	NOUN
fumecheng-2860	3	20	:	:	PUNCT
fumecheng-2860	3	21	cc	cc	VERB
fumecheng-2860	3	22	by	by	ADP
fumecheng-2860	3	23	-	-	PUNCT
fumecheng-2860	3	24	nc	nc	VERB
fumecheng-2860	3	25	-	-	PUNCT
fumecheng-2860	3	26	nd	nd	ADV
fumecheng-2860	3	27	original	original	ADJ
fumecheng-2860	3	28	scientific	scientific	ADJ
fumecheng-2860	3	29	paper	paper	NOUN
fumecheng-2860	3	30	simulation	simulation	NOUN
fumecheng-2860	3	31	of	of	ADP
fumecheng-2860	3	32	frictional	frictional	ADJ
fumecheng-2860	3	33	dissipation	dissipation	NOUN
fumecheng-2860	3	34	under	under	ADP
fumecheng-2860	3	35	biaxial	biaxial	ADJ
fumecheng-2860	3	36	tangential	tangential	ADJ
fumecheng-2860	3	37	loading	loading	NOUN
fumecheng-2860	3	38	with	with	ADP
fumecheng-2860	3	39	the	the	DET
fumecheng-2860	3	40	method	method	NOUN
fumecheng-2860	3	41	of	of	ADP
fumecheng-2860	3	42	dimensionality	dimensionality	NOUN
fumecheng-2860	3	43	reduction	reduction	NOUN
fumecheng-2860	3	44	udc	udc	NOUN
fumecheng-2860	3	45	531.4	531.4	NUM
fumecheng-2860	3	46	andrey	andrey	PROPN
fumecheng-2860	3	47	v.	v.	ADP
fumecheng-2860	3	48	dimaki	dimaki	PROPN
fumecheng-2860	3	49	1	1	NUM
fumecheng-2860	3	50	,	,	PUNCT
fumecheng-2860	3	51	roman	roman	NOUN
fumecheng-2860	3	52	pohrt	pohrt	NOUN
fumecheng-2860	3	53	2	2	NUM
fumecheng-2860	3	54	,	,	PUNCT
fumecheng-2860	3	55	valentin	valentin	PROPN
fumecheng-2860	3	56	l.	l.	PROPN
fumecheng-2860	3	57	popov	popov	PROPN
fumecheng-2860	3	58	2,3,4	2,3,4	NUM
fumecheng-2860	3	59	1	1	NUM
fumecheng-2860	3	60	institute	institute	NOUN
fumecheng-2860	3	61	of	of	ADP
fumecheng-2860	3	62	strength	strength	PROPN
fumecheng-2860	3	63	physics	physics	PROPN
fumecheng-2860	3	64	and	and	CCONJ
fumecheng-2860	3	65	materials	material	NOUN
fumecheng-2860	3	66	science	science	PROPN
fumecheng-2860	3	67	sb	sb	PROPN
fumecheng-2860	3	68	ras	ras	PROPN
fumecheng-2860	3	69	,	,	PUNCT
fumecheng-2860	3	70	tomsk	tomsk	PROPN
fumecheng-2860	3	71	,	,	PUNCT
fumecheng-2860	3	72	russia	russia	PROPN
fumecheng-2860	3	73	2	2	NUM
fumecheng-2860	3	74	berlin	berlin	PROPN
fumecheng-2860	3	75	university	university	PROPN
fumecheng-2860	3	76	of	of	ADP
fumecheng-2860	3	77	technology	technology	PROPN
fumecheng-2860	3	78	,	,	PUNCT
fumecheng-2860	3	79	germany	germany	PROPN
fumecheng-2860	3	80	3	3	NUM
fumecheng-2860	3	81	national	national	PROPN
fumecheng-2860	3	82	research	research	PROPN
fumecheng-2860	3	83	tomsk	tomsk	PROPN
fumecheng-2860	3	84	polytechnic	polytechnic	PROPN
fumecheng-2860	3	85	university	university	PROPN
fumecheng-2860	3	86	,	,	PUNCT
fumecheng-2860	3	87	russia	russia	PROPN
fumecheng-2860	3	88	4	4	NUM
fumecheng-2860	3	89	national	national	ADJ
fumecheng-2860	3	90	research	research	NOUN
fumecheng-2860	3	91	tomsk	tomsk	PROPN
fumecheng-2860	3	92	state	state	PROPN
fumecheng-2860	3	93	university	university	PROPN
fumecheng-2860	3	94	,	,	PUNCT
fumecheng-2860	3	95	russia	russia	PROPN
fumecheng-2860	3	96	abstract	abstract	NOUN
fumecheng-2860	3	97	.	.	PUNCT
fumecheng-2860	4	1	the	the	DET
fumecheng-2860	4	2	paper	paper	NOUN
fumecheng-2860	4	3	is	be	AUX
fumecheng-2860	4	4	concerned	concern	VERB
fumecheng-2860	4	5	with	with	ADP
fumecheng-2860	4	6	the	the	DET
fumecheng-2860	4	7	contact	contact	NOUN
fumecheng-2860	4	8	between	between	ADP
fumecheng-2860	4	9	the	the	DET
fumecheng-2860	4	10	elastic	elastic	ADJ
fumecheng-2860	4	11	bodies	body	NOUN
fumecheng-2860	4	12	subjected	subject	VERB
fumecheng-2860	4	13	to	to	ADP
fumecheng-2860	4	14	a	a	DET
fumecheng-2860	4	15	constant	constant	ADJ
fumecheng-2860	4	16	normal	normal	ADJ
fumecheng-2860	4	17	load	load	NOUN
fumecheng-2860	4	18	and	and	CCONJ
fumecheng-2860	4	19	a	a	DET
fumecheng-2860	4	20	varying	vary	VERB
fumecheng-2860	4	21	tangential	tangential	ADJ
fumecheng-2860	4	22	loading	loading	NOUN
fumecheng-2860	4	23	in	in	ADP
fumecheng-2860	4	24	two	two	NUM
fumecheng-2860	4	25	directions	direction	NOUN
fumecheng-2860	4	26	of	of	ADP
fumecheng-2860	4	27	the	the	DET
fumecheng-2860	4	28	contact	contact	NOUN
fumecheng-2860	4	29	plane	plane	NOUN
fumecheng-2860	4	30	.	.	PUNCT
fumecheng-2860	5	1	for	for	ADP
fumecheng-2860	5	2	uni	uni	ADJ
fumecheng-2860	5	3	-	-	ADJ
fumecheng-2860	5	4	axial	axial	ADJ
fumecheng-2860	5	5	in	in	ADP
fumecheng-2860	5	6	-	-	PUNCT
fumecheng-2860	5	7	plane	plane	NOUN
fumecheng-2860	5	8	loading	loading	NOUN
fumecheng-2860	5	9	,	,	PUNCT
fumecheng-2860	5	10	the	the	DET
fumecheng-2860	5	11	cattaneo	cattaneo	PROPN
fumecheng-2860	5	12	-	-	PUNCT
fumecheng-2860	5	13	mindlin	mindlin	PROPN
fumecheng-2860	5	14	superposition	superposition	NOUN
fumecheng-2860	5	15	principle	principle	NOUN
fumecheng-2860	5	16	can	can	AUX
fumecheng-2860	5	17	be	be	AUX
fumecheng-2860	5	18	applied	apply	VERB
fumecheng-2860	5	19	even	even	ADV
fumecheng-2860	5	20	if	if	SCONJ
fumecheng-2860	5	21	the	the	DET
fumecheng-2860	5	22	normal	normal	ADJ
fumecheng-2860	5	23	load	load	NOUN
fumecheng-2860	5	24	is	be	AUX
fumecheng-2860	5	25	not	not	PART
fumecheng-2860	5	26	constant	constant	ADJ
fumecheng-2860	5	27	but	but	CCONJ
fumecheng-2860	5	28	varies	vary	VERB
fumecheng-2860	5	29	as	as	ADV
fumecheng-2860	5	30	well	well	ADV
fumecheng-2860	5	31	.	.	PUNCT
fumecheng-2860	6	1	however	however	ADV
fumecheng-2860	6	2	,	,	PUNCT
fumecheng-2860	6	3	this	this	PRON
fumecheng-2860	6	4	is	be	AUX
fumecheng-2860	6	5	generally	generally	ADV
fumecheng-2860	6	6	not	not	PART
fumecheng-2860	6	7	the	the	DET
fumecheng-2860	6	8	case	case	NOUN
fumecheng-2860	6	9	if	if	SCONJ
fumecheng-2860	6	10	the	the	DET
fumecheng-2860	6	11	contact	contact	NOUN
fumecheng-2860	6	12	is	be	AUX
fumecheng-2860	6	13	periodically	periodically	ADV
fumecheng-2860	6	14	loaded	load	VERB
fumecheng-2860	6	15	in	in	ADP
fumecheng-2860	6	16	two	two	NUM
fumecheng-2860	6	17	perpendicular	perpendicular	ADJ
fumecheng-2860	6	18	in	in	ADP
fumecheng-2860	6	19	-	-	PUNCT
fumecheng-2860	6	20	plane	plane	NOUN
fumecheng-2860	6	21	directions	direction	NOUN
fumecheng-2860	6	22	.	.	PUNCT
fumecheng-2860	7	1	the	the	DET
fumecheng-2860	7	2	applicability	applicability	NOUN
fumecheng-2860	7	3	of	of	ADP
fumecheng-2860	7	4	the	the	DET
fumecheng-2860	7	5	cattaneo	cattaneo	PROPN
fumecheng-2860	7	6	-	-	PUNCT
fumecheng-2860	7	7	mindlin	mindlin	PROPN
fumecheng-2860	7	8	superposition	superposition	NOUN
fumecheng-2860	7	9	principle	principle	NOUN
fumecheng-2860	7	10	guarantees	guarantee	VERB
fumecheng-2860	7	11	the	the	DET
fumecheng-2860	7	12	applicability	applicability	NOUN
fumecheng-2860	7	13	of	of	ADP
fumecheng-2860	7	14	the	the	DET
fumecheng-2860	7	15	method	method	NOUN
fumecheng-2860	7	16	of	of	ADP
fumecheng-2860	7	17	dimensionality	dimensionality	NOUN
fumecheng-2860	7	18	reduction	reduction	NOUN
fumecheng-2860	7	19	(	(	PUNCT
fumecheng-2860	7	20	mdr	mdr	PROPN
fumecheng-2860	7	21	)	)	PUNCT
fumecheng-2860	7	22	which	which	PRON
fumecheng-2860	7	23	in	in	ADP
fumecheng-2860	7	24	the	the	DET
fumecheng-2860	7	25	case	case	NOUN
fumecheng-2860	7	26	of	of	ADP
fumecheng-2860	7	27	a	a	DET
fumecheng-2860	7	28	uniaxial	uniaxial	ADJ
fumecheng-2860	7	29	in	in	ADP
fumecheng-2860	7	30	-	-	PUNCT
fumecheng-2860	7	31	plane	plane	NOUN
fumecheng-2860	7	32	loading	loading	NOUN
fumecheng-2860	7	33	has	have	VERB
fumecheng-2860	7	34	the	the	DET
fumecheng-2860	7	35	same	same	ADJ
fumecheng-2860	7	36	accuracy	accuracy	NOUN
fumecheng-2860	7	37	as	as	ADP
fumecheng-2860	7	38	the	the	DET
fumecheng-2860	7	39	cattaneo	cattaneo	PROPN
fumecheng-2860	7	40	-	-	PUNCT
fumecheng-2860	7	41	mindlin	mindlin	PROPN
fumecheng-2860	7	42	theory	theory	NOUN
fumecheng-2860	7	43	.	.	PUNCT
fumecheng-2860	8	1	in	in	ADP
fumecheng-2860	8	2	the	the	DET
fumecheng-2860	8	3	present	present	ADJ
fumecheng-2860	8	4	paper	paper	NOUN
fumecheng-2860	8	5	we	we	PRON
fumecheng-2860	8	6	investigate	investigate	VERB
fumecheng-2860	8	7	whether	whether	SCONJ
fumecheng-2860	8	8	it	it	PRON
fumecheng-2860	8	9	is	be	AUX
fumecheng-2860	8	10	possible	possible	ADJ
fumecheng-2860	8	11	to	to	PART
fumecheng-2860	8	12	generalize	generalize	VERB
fumecheng-2860	8	13	the	the	DET
fumecheng-2860	8	14	procedure	procedure	NOUN
fumecheng-2860	8	15	used	use	VERB
fumecheng-2860	8	16	in	in	ADP
fumecheng-2860	8	17	the	the	DET
fumecheng-2860	8	18	mdr	mdr	PROPN
fumecheng-2860	8	19	for	for	ADP
fumecheng-2860	8	20	bi	bi	ADJ
fumecheng-2860	8	21	-	-	ADJ
fumecheng-2860	8	22	axial	axial	ADJ
fumecheng-2860	8	23	in	in	ADP
fumecheng-2860	8	24	-	-	PUNCT
fumecheng-2860	8	25	plane	plane	NOUN
fumecheng-2860	8	26	loading	loading	NOUN
fumecheng-2860	8	27	.	.	PUNCT
fumecheng-2860	9	1	by	by	ADP
fumecheng-2860	9	2	comparison	comparison	NOUN
fumecheng-2860	9	3	of	of	ADP
fumecheng-2860	9	4	the	the	DET
fumecheng-2860	9	5	mdr	mdr	PROPN
fumecheng-2860	9	6	-	-	PUNCT
fumecheng-2860	9	7	results	result	VERB
fumecheng-2860	9	8	with	with	ADP
fumecheng-2860	9	9	a	a	DET
fumecheng-2860	9	10	complete	complete	ADJ
fumecheng-2860	9	11	three	three	NUM
fumecheng-2860	9	12	-	-	PUNCT
fumecheng-2860	9	13	dimensional	dimensional	ADJ
fumecheng-2860	9	14	numeric	numeric	ADJ
fumecheng-2860	9	15	solution	solution	NOUN
fumecheng-2860	9	16	,	,	PUNCT
fumecheng-2860	9	17	we	we	PRON
fumecheng-2860	9	18	arrive	arrive	VERB
fumecheng-2860	9	19	at	at	ADP
fumecheng-2860	9	20	the	the	DET
fumecheng-2860	9	21	conclusion	conclusion	NOUN
fumecheng-2860	9	22	that	that	SCONJ
fumecheng-2860	9	23	the	the	DET
fumecheng-2860	9	24	exact	exact	ADJ
fumecheng-2860	9	25	mapping	mapping	NOUN
fumecheng-2860	9	26	is	be	AUX
fumecheng-2860	9	27	not	not	PART
fumecheng-2860	9	28	possible	possible	ADJ
fumecheng-2860	9	29	.	.	PUNCT
fumecheng-2860	10	1	however	however	ADV
fumecheng-2860	10	2	,	,	PUNCT
fumecheng-2860	10	3	the	the	DET
fumecheng-2860	10	4	inaccuracy	inaccuracy	NOUN
fumecheng-2860	10	5	of	of	ADP
fumecheng-2860	10	6	the	the	DET
fumecheng-2860	10	7	mdr	mdr	PROPN
fumecheng-2860	10	8	solution	solution	NOUN
fumecheng-2860	10	9	is	be	AUX
fumecheng-2860	10	10	on	on	ADP
fumecheng-2860	10	11	the	the	DET
fumecheng-2860	10	12	same	same	ADJ
fumecheng-2860	10	13	order	order	NOUN
fumecheng-2860	10	14	of	of	ADP
fumecheng-2860	10	15	magnitude	magnitude	NOUN
fumecheng-2860	10	16	as	as	ADP
fumecheng-2860	10	17	the	the	DET
fumecheng-2860	10	18	inaccuracy	inaccuracy	NOUN
fumecheng-2860	10	19	of	of	ADP
fumecheng-2860	10	20	the	the	DET
fumecheng-2860	10	21	cattaneo	cattaneo	PROPN
fumecheng-2860	10	22	-	-	PUNCT
fumecheng-2860	10	23	mindlin	mindlin	PROPN
fumecheng-2860	10	24	theory	theory	NOUN
fumecheng-2860	10	25	itself	itself	PRON
fumecheng-2860	10	26	.	.	PUNCT
fumecheng-2860	11	1	this	this	PRON
fumecheng-2860	11	2	means	mean	VERB
fumecheng-2860	11	3	that	that	SCONJ
fumecheng-2860	11	4	the	the	DET
fumecheng-2860	11	5	mdr	mdr	PROPN
fumecheng-2860	11	6	can	can	AUX
fumecheng-2860	11	7	be	be	AUX
fumecheng-2860	11	8	also	also	ADV
fumecheng-2860	11	9	used	use	VERB
fumecheng-2860	11	10	as	as	ADP
fumecheng-2860	11	11	a	a	DET
fumecheng-2860	11	12	good	good	ADJ
fumecheng-2860	11	13	approximation	approximation	NOUN
fumecheng-2860	11	14	for	for	ADP
fumecheng-2860	11	15	bi	bi	ADJ
fumecheng-2860	11	16	-	-	ADJ
fumecheng-2860	11	17	axial	axial	ADJ
fumecheng-2860	11	18	in	in	ADP
fumecheng-2860	11	19	-	-	PUNCT
fumecheng-2860	11	20	plane	plane	NOUN
fumecheng-2860	11	21	loading	loading	NOUN
fumecheng-2860	11	22	.	.	PUNCT
fumecheng-2860	12	1	key	key	ADJ
fumecheng-2860	12	2	words	word	NOUN
fumecheng-2860	12	3	:	:	PUNCT
fumecheng-2860	12	4	friction	friction	NOUN
fumecheng-2860	12	5	,	,	PUNCT
fumecheng-2860	12	6	dissipation	dissipation	NOUN
fumecheng-2860	12	7	,	,	PUNCT
fumecheng-2860	12	8	tangential	tangential	ADJ
fumecheng-2860	12	9	contact	contact	NOUN
fumecheng-2860	12	10	,	,	PUNCT
fumecheng-2860	12	11	biaxial	biaxial	NOUN
fumecheng-2860	12	12	in	in	ADP
fumecheng-2860	12	13	-	-	PUNCT
fumecheng-2860	12	14	plane	plane	NOUN
fumecheng-2860	12	15	loading	loading	NOUN
fumecheng-2860	12	16	,	,	PUNCT
fumecheng-2860	12	17	circular	circular	ADJ
fumecheng-2860	12	18	loading	loading	NOUN
fumecheng-2860	12	19	,	,	PUNCT
fumecheng-2860	12	20	cattaneo	cattaneo	PROPN
fumecheng-2860	12	21	,	,	PUNCT
fumecheng-2860	12	22	mindlin	mindlin	PROPN
fumecheng-2860	12	23	,	,	PUNCT
fumecheng-2860	12	24	mdr	mdr	PROPN
fumecheng-2860	12	25	1	1	NUM
fumecheng-2860	12	26	.	.	PUNCT
fumecheng-2860	13	1	introduction	introduction	NOUN
fumecheng-2860	13	2	friction	friction	NOUN
fumecheng-2860	13	3	is	be	AUX
fumecheng-2860	13	4	a	a	DET
fumecheng-2860	13	5	dissipative	dissipative	ADJ
fumecheng-2860	13	6	process	process	NOUN
fumecheng-2860	13	7	transforming	transform	VERB
fumecheng-2860	13	8	mechanical	mechanical	ADJ
fumecheng-2860	13	9	energy	energy	NOUN
fumecheng-2860	13	10	into	into	ADP
fumecheng-2860	13	11	heat	heat	NOUN
fumecheng-2860	13	12	and	and	CCONJ
fumecheng-2860	13	13	material	material	NOUN
fumecheng-2860	13	14	changes	change	NOUN
fumecheng-2860	13	15	of	of	ADP
fumecheng-2860	13	16	the	the	DET
fumecheng-2860	13	17	contacting	contact	VERB
fumecheng-2860	13	18	partners	partner	NOUN
fumecheng-2860	13	19	.	.	PUNCT
fumecheng-2860	14	1	the	the	DET
fumecheng-2860	14	2	energy	energy	NOUN
fumecheng-2860	14	3	dissipation	dissipation	NOUN
fumecheng-2860	14	4	may	may	AUX
fumecheng-2860	14	5	be	be	AUX
fumecheng-2860	14	6	connected	connect	VERB
fumecheng-2860	14	7	with	with	ADP
fumecheng-2860	14	8	material	material	NOUN
fumecheng-2860	14	9	dissipation	dissipation	NOUN
fumecheng-2860	14	10	(	(	PUNCT
fumecheng-2860	14	11	wear	wear	NOUN
fumecheng-2860	14	12	)	)	PUNCT
fumecheng-2860	15	1	[	[	X
fumecheng-2860	15	2	1	1	X
fumecheng-2860	15	3	]	]	PUNCT
fumecheng-2860	15	4	or	or	CCONJ
fumecheng-2860	15	5	utilized	utilize	VERB
fumecheng-2860	15	6	for	for	ADP
fumecheng-2860	15	7	structural	structural	ADJ
fumecheng-2860	15	8	damping	damping	NOUN
fumecheng-2860	15	9	[	[	X
fumecheng-2860	15	10	2	2	NUM
fumecheng-2860	15	11	]	]	PUNCT
fumecheng-2860	15	12	.	.	PUNCT
fumecheng-2860	16	1	studying	study	VERB
fumecheng-2860	16	2	both	both	PRON
fumecheng-2860	16	3	wear	wear	VERB
fumecheng-2860	16	4	and	and	CCONJ
fumecheng-2860	16	5	received	receive	VERB
fumecheng-2860	16	6	may	may	PROPN
fumecheng-2860	16	7	03	03	NUM
fumecheng-2860	16	8	,	,	PUNCT
fumecheng-2860	16	9	2017	2017	NUM
fumecheng-2860	16	10	/	/	SYM
fumecheng-2860	16	11	accepted	accept	VERB
fumecheng-2860	16	12	june	june	PROPN
fumecheng-2860	16	13	20	20	NUM
fumecheng-2860	16	14	,	,	PUNCT
fumecheng-2860	16	15	2017	2017	NUM
fumecheng-2860	16	16	corresponding	correspond	VERB
fumecheng-2860	16	17	author	author	NOUN
fumecheng-2860	16	18	:	:	PUNCT
fumecheng-2860	16	19	andrey	andrey	PROPN
fumecheng-2860	16	20	v.	v.	PROPN
fumecheng-2860	16	21	dimaki	dimaki	PROPN
fumecheng-2860	16	22	institute	institute	PROPN
fumecheng-2860	16	23	of	of	ADP
fumecheng-2860	16	24	strength	strength	PROPN
fumecheng-2860	16	25	physics	physics	PROPN
fumecheng-2860	16	26	and	and	CCONJ
fumecheng-2860	16	27	materials	material	NOUN
fumecheng-2860	16	28	science	science	PROPN
fumecheng-2860	16	29	sb	sb	PROPN
fumecheng-2860	16	30	ras	ras	PROPN
fumecheng-2860	16	31	,	,	PUNCT
fumecheng-2860	16	32	akademicheskii	akademicheskii	PROPN
fumecheng-2860	16	33	av	av	PROPN
fumecheng-2860	16	34	.	.	PROPN
fumecheng-2860	16	35	2/4	2/4	NUM
fumecheng-2860	16	36	,	,	PUNCT
fumecheng-2860	16	37	634055	634055	NUM
fumecheng-2860	16	38	tomsk	tomsk	PROPN
fumecheng-2860	16	39	,	,	PUNCT
fumecheng-2860	16	40	russia	russia	PROPN
fumecheng-2860	16	41	e	e	NOUN
fumecheng-2860	16	42	-	-	NOUN
fumecheng-2860	16	43	mail	mail	NOUN
fumecheng-2860	16	44	:	:	PUNCT
fumecheng-2860	16	45	dav@ispms.tsc.ru	dav@ispms.tsc.ru	PROPN
fumecheng-2860	16	46	296	296	NUM
fumecheng-2860	16	47	a.v	a.v	NOUN
fumecheng-2860	16	48	.	.	PROPN
fumecheng-2860	16	49	dimaki	dimaki	PROPN
fumecheng-2860	16	50	,	,	PUNCT
fumecheng-2860	16	51	r.	r.	PROPN
fumecheng-2860	16	52	pohrt	pohrt	PROPN
fumecheng-2860	16	53	,	,	PUNCT
fumecheng-2860	16	54	v.l	v.l	PROPN
fumecheng-2860	16	55	.	.	PROPN
fumecheng-2860	16	56	popov	popov	PROPN
fumecheng-2860	16	57	damping	damp	VERB
fumecheng-2860	16	58	requires	require	VERB
fumecheng-2860	16	59	the	the	DET
fumecheng-2860	16	60	solution	solution	NOUN
fumecheng-2860	16	61	of	of	ADP
fumecheng-2860	16	62	a	a	DET
fumecheng-2860	16	63	tangential	tangential	ADJ
fumecheng-2860	16	64	contact	contact	NOUN
fumecheng-2860	16	65	problem	problem	NOUN
fumecheng-2860	16	66	.	.	PUNCT
fumecheng-2860	17	1	the	the	DET
fumecheng-2860	17	2	simplest	simple	ADJ
fumecheng-2860	17	3	case	case	NOUN
fumecheng-2860	17	4	of	of	ADP
fumecheng-2860	17	5	a	a	DET
fumecheng-2860	17	6	tangential	tangential	ADJ
fumecheng-2860	17	7	loading	loading	NOUN
fumecheng-2860	17	8	is	be	AUX
fumecheng-2860	17	9	an	an	DET
fumecheng-2860	17	10	increasing	increase	VERB
fumecheng-2860	17	11	uni	uni	ADJ
fumecheng-2860	17	12	-	-	ADJ
fumecheng-2860	17	13	axial	axial	ADJ
fumecheng-2860	17	14	tangential	tangential	ADJ
fumecheng-2860	17	15	loading	loading	NOUN
fumecheng-2860	17	16	at	at	ADP
fumecheng-2860	17	17	a	a	DET
fumecheng-2860	17	18	constant	constant	ADJ
fumecheng-2860	17	19	normal	normal	ADJ
fumecheng-2860	17	20	force	force	NOUN
fumecheng-2860	17	21	.	.	PUNCT
fumecheng-2860	18	1	this	this	DET
fumecheng-2860	18	2	problem	problem	NOUN
fumecheng-2860	18	3	has	have	AUX
fumecheng-2860	18	4	been	be	AUX
fumecheng-2860	18	5	solved	solve	VERB
fumecheng-2860	18	6	first	first	ADV
fumecheng-2860	18	7	by	by	ADP
fumecheng-2860	18	8	cattaneo	cattaneo	PROPN
fumecheng-2860	18	9	[	[	X
fumecheng-2860	18	10	3	3	NUM
fumecheng-2860	18	11	]	]	PUNCT
fumecheng-2860	18	12	and	and	CCONJ
fumecheng-2860	18	13	later	later	ADV
fumecheng-2860	18	14	independently	independently	ADV
fumecheng-2860	18	15	by	by	ADP
fumecheng-2860	18	16	mindlin	mindlin	PROPN
fumecheng-2860	19	1	[	[	X
fumecheng-2860	19	2	4	4	NUM
fumecheng-2860	19	3	]	]	PUNCT
fumecheng-2860	19	4	.	.	PUNCT
fumecheng-2860	20	1	they	they	PRON
fumecheng-2860	20	2	have	have	AUX
fumecheng-2860	20	3	shown	show	VERB
fumecheng-2860	20	4	that	that	SCONJ
fumecheng-2860	20	5	a	a	DET
fumecheng-2860	20	6	tangential	tangential	ADJ
fumecheng-2860	20	7	stress	stress	NOUN
fumecheng-2860	20	8	distribution	distribution	NOUN
fumecheng-2860	20	9	can	can	AUX
fumecheng-2860	20	10	be	be	AUX
fumecheng-2860	20	11	represented	represent	VERB
fumecheng-2860	20	12	as	as	ADP
fumecheng-2860	20	13	a	a	DET
fumecheng-2860	20	14	superposition	superposition	NOUN
fumecheng-2860	20	15	of	of	ADP
fumecheng-2860	20	16	two	two	NUM
fumecheng-2860	20	17	solutions	solution	NOUN
fumecheng-2860	20	18	for	for	ADP
fumecheng-2860	20	19	the	the	DET
fumecheng-2860	20	20	normal	normal	ADJ
fumecheng-2860	20	21	contact	contact	NOUN
fumecheng-2860	20	22	problem	problem	NOUN
fumecheng-2860	20	23	of	of	ADP
fumecheng-2860	20	24	the	the	DET
fumecheng-2860	20	25	same	same	ADJ
fumecheng-2860	20	26	geometry	geometry	NOUN
fumecheng-2860	20	27	,	,	PUNCT
fumecheng-2860	20	28	only	only	ADV
fumecheng-2860	20	29	multiplied	multiply	VERB
fumecheng-2860	20	30	with	with	ADP
fumecheng-2860	20	31	the	the	DET
fumecheng-2860	20	32	coefficient	coefficient	NOUN
fumecheng-2860	20	33	of	of	ADP
fumecheng-2860	20	34	friction	friction	NOUN
fumecheng-2860	20	35	.	.	PUNCT
fumecheng-2860	21	1	this	this	DET
fumecheng-2860	21	2	reduction	reduction	NOUN
fumecheng-2860	21	3	to	to	ADP
fumecheng-2860	21	4	the	the	DET
fumecheng-2860	21	5	normal	normal	ADJ
fumecheng-2860	21	6	contact	contact	NOUN
fumecheng-2860	21	7	problem	problem	NOUN
fumecheng-2860	21	8	is	be	AUX
fumecheng-2860	21	9	exactly	exactly	ADV
fumecheng-2860	21	10	the	the	DET
fumecheng-2860	21	11	feature	feature	NOUN
fumecheng-2860	21	12	which	which	PRON
fumecheng-2860	21	13	allows	allow	VERB
fumecheng-2860	21	14	the	the	DET
fumecheng-2860	21	15	application	application	NOUN
fumecheng-2860	21	16	of	of	ADP
fumecheng-2860	21	17	the	the	DET
fumecheng-2860	21	18	method	method	NOUN
fumecheng-2860	21	19	of	of	ADP
fumecheng-2860	21	20	dimensionality	dimensionality	NOUN
fumecheng-2860	21	21	reduction	reduction	NOUN
fumecheng-2860	21	22	(	(	PUNCT
fumecheng-2860	21	23	mdr	mdr	NOUN
fumecheng-2860	21	24	)	)	PUNCT
fumecheng-2860	22	1	[	[	X
fumecheng-2860	22	2	5	5	NUM
fumecheng-2860	22	3	]	]	PUNCT
fumecheng-2860	22	4	,	,	PUNCT
fumecheng-2860	22	5	(	(	PUNCT
fumecheng-2860	22	6	see	see	VERB
fumecheng-2860	22	7	also	also	ADV
fumecheng-2860	22	8	chapter	chapter	NOUN
fumecheng-2860	22	9	5	5	NUM
fumecheng-2860	22	10	devoted	devote	VERB
fumecheng-2860	22	11	to	to	ADP
fumecheng-2860	22	12	tangential	tangential	ADJ
fumecheng-2860	22	13	contact	contact	NOUN
fumecheng-2860	22	14	in	in	ADP
fumecheng-2860	22	15	[	[	X
fumecheng-2860	22	16	6	6	NUM
fumecheng-2860	22	17	]	]	PUNCT
fumecheng-2860	22	18	)	)	PUNCT
fumecheng-2860	22	19	.	.	PUNCT
fumecheng-2860	23	1	however	however	ADV
fumecheng-2860	23	2	,	,	PUNCT
fumecheng-2860	23	3	cattaneo	cattaneo	NOUN
fumecheng-2860	23	4	and	and	CCONJ
fumecheng-2860	23	5	mindlin	mindlin	PROPN
fumecheng-2860	23	6	have	have	AUX
fumecheng-2860	23	7	not	not	PART
fumecheng-2860	23	8	noticed	notice	VERB
fumecheng-2860	23	9	a	a	DET
fumecheng-2860	23	10	small	small	ADJ
fumecheng-2860	23	11	inconsistency	inconsistency	NOUN
fumecheng-2860	23	12	in	in	ADP
fumecheng-2860	23	13	their	their	PRON
fumecheng-2860	23	14	solution	solution	NOUN
fumecheng-2860	23	15	.	.	PUNCT
fumecheng-2860	24	1	in	in	ADP
fumecheng-2860	24	2	their	their	PRON
fumecheng-2860	24	3	theory	theory	NOUN
fumecheng-2860	24	4	,	,	PUNCT
fumecheng-2860	24	5	it	it	PRON
fumecheng-2860	24	6	is	be	AUX
fumecheng-2860	24	7	assumed	assume	VERB
fumecheng-2860	24	8	that	that	SCONJ
fumecheng-2860	24	9	the	the	DET
fumecheng-2860	24	10	frictional	frictional	ADJ
fumecheng-2860	24	11	stresses	stress	NOUN
fumecheng-2860	24	12	in	in	ADP
fumecheng-2860	24	13	the	the	DET
fumecheng-2860	24	14	slip	slip	NOUN
fumecheng-2860	24	15	domain	domain	NOUN
fumecheng-2860	24	16	are	be	AUX
fumecheng-2860	24	17	all	all	ADV
fumecheng-2860	24	18	directed	direct	VERB
fumecheng-2860	24	19	in	in	ADP
fumecheng-2860	24	20	the	the	DET
fumecheng-2860	24	21	direction	direction	NOUN
fumecheng-2860	24	22	of	of	ADP
fumecheng-2860	24	23	the	the	DET
fumecheng-2860	24	24	applied	apply	VERB
fumecheng-2860	24	25	tangential	tangential	ADJ
fumecheng-2860	24	26	force	force	NOUN
fumecheng-2860	24	27	.	.	PUNCT
fumecheng-2860	25	1	with	with	ADP
fumecheng-2860	25	2	the	the	DET
fumecheng-2860	25	3	exception	exception	NOUN
fumecheng-2860	25	4	of	of	ADP
fumecheng-2860	25	5	the	the	DET
fumecheng-2860	25	6	unrealistic	unrealistic	ADJ
fumecheng-2860	25	7	case	case	NOUN
fumecheng-2860	25	8	where	where	SCONJ
fumecheng-2860	25	9	both	both	CCONJ
fumecheng-2860	25	10	the	the	DET
fumecheng-2860	25	11	contacting	contact	VERB
fumecheng-2860	25	12	materials	material	NOUN
fumecheng-2860	25	13	have	have	VERB
fumecheng-2860	25	14	poisson	poisson	NOUN
fumecheng-2860	25	15	ratio	ratio	NOUN
fumecheng-2860	25	16	zero	zero	NUM
fumecheng-2860	25	17	,	,	PUNCT
fumecheng-2860	25	18	this	this	DET
fumecheng-2860	25	19	assumption	assumption	NOUN
fumecheng-2860	25	20	violates	violate	VERB
fumecheng-2860	25	21	the	the	DET
fumecheng-2860	25	22	condition	condition	NOUN
fumecheng-2860	25	23	that	that	SCONJ
fumecheng-2860	25	24	at	at	ADP
fumecheng-2860	25	25	every	every	DET
fumecheng-2860	25	26	position	position	NOUN
fumecheng-2860	25	27	in	in	ADP
fumecheng-2860	25	28	the	the	DET
fumecheng-2860	25	29	slip	slip	NOUN
fumecheng-2860	25	30	domain	domain	NOUN
fumecheng-2860	25	31	,	,	PUNCT
fumecheng-2860	25	32	the	the	DET
fumecheng-2860	25	33	slip	slip	NOUN
fumecheng-2860	25	34	is	be	AUX
fumecheng-2860	25	35	directed	direct	VERB
fumecheng-2860	25	36	in	in	ADP
fumecheng-2860	25	37	the	the	DET
fumecheng-2860	25	38	direction	direction	NOUN
fumecheng-2860	25	39	opposing	oppose	VERB
fumecheng-2860	25	40	the	the	DET
fumecheng-2860	25	41	tangential	tangential	ADJ
fumecheng-2860	25	42	stresses	stress	NOUN
fumecheng-2860	25	43	.	.	PUNCT
fumecheng-2860	26	1	the	the	DET
fumecheng-2860	26	2	reason	reason	NOUN
fumecheng-2860	26	3	for	for	ADP
fumecheng-2860	26	4	this	this	PRON
fumecheng-2860	26	5	is	be	AUX
fumecheng-2860	26	6	the	the	DET
fumecheng-2860	26	7	presence	presence	NOUN
fumecheng-2860	26	8	of	of	ADP
fumecheng-2860	26	9	an	an	DET
fumecheng-2860	26	10	additional	additional	ADJ
fumecheng-2860	26	11	slip	slip	NOUN
fumecheng-2860	26	12	motion	motion	NOUN
fumecheng-2860	26	13	perpendicular	perpendicular	NOUN
fumecheng-2860	26	14	to	to	ADP
fumecheng-2860	26	15	the	the	DET
fumecheng-2860	26	16	direction	direction	NOUN
fumecheng-2860	26	17	of	of	ADP
fumecheng-2860	26	18	the	the	DET
fumecheng-2860	26	19	applied	apply	VERB
fumecheng-2860	26	20	force	force	NOUN
fumecheng-2860	26	21	.	.	PUNCT
fumecheng-2860	27	1	this	this	PRON
fumecheng-2860	27	2	was	be	AUX
fumecheng-2860	27	3	first	first	ADV
fumecheng-2860	27	4	pointed	point	VERB
fumecheng-2860	27	5	out	out	ADP
fumecheng-2860	27	6	by	by	ADP
fumecheng-2860	27	7	johnson	johnson	PROPN
fumecheng-2860	28	1	[	[	X
fumecheng-2860	28	2	7	7	X
fumecheng-2860	28	3	]	]	PUNCT
fumecheng-2860	28	4	who	who	PRON
fumecheng-2860	28	5	showed	show	VERB
fumecheng-2860	28	6	that	that	SCONJ
fumecheng-2860	28	7	the	the	DET
fumecheng-2860	28	8	maximum	maximum	ADJ
fumecheng-2860	28	9	inclination	inclination	NOUN
fumecheng-2860	28	10	of	of	ADP
fumecheng-2860	28	11	slip	slip	NOUN
fumecheng-2860	28	12	angle	angle	NOUN
fumecheng-2860	28	13	is	be	AUX
fumecheng-2860	28	14	on	on	ADP
fumecheng-2860	28	15	the	the	DET
fumecheng-2860	28	16	order	order	NOUN
fumecheng-2860	28	17	of	of	ADP
fumecheng-2860	28	18	magnitude	magnitude	NOUN
fumecheng-2860	28	19	ν/(4	ν/(4	NOUN
fumecheng-2860	28	20	-	-	PUNCT
fumecheng-2860	28	21	ν	ν	NOUN
fumecheng-2860	28	22	)	)	PUNCT
fumecheng-2860	28	23	which	which	PRON
fumecheng-2860	28	24	is	be	AUX
fumecheng-2860	28	25	equal	equal	ADJ
fumecheng-2860	28	26	to	to	ADP
fumecheng-2860	28	27	0.09	0.09	NUM
fumecheng-2860	28	28	for	for	ADP
fumecheng-2860	28	29	ν=1/3	ν=1/3	NOUN
fumecheng-2860	28	30	and	and	CCONJ
fumecheng-2860	28	31	0.14	0.14	NUM
fumecheng-2860	28	32	for	for	ADP
fumecheng-2860	28	33	ν=1/2	ν=1/2	NOUN
fumecheng-2860	28	34	.	.	PUNCT
fumecheng-2860	29	1	he	he	PRON
fumecheng-2860	29	2	concluded	conclude	VERB
fumecheng-2860	29	3	that	that	SCONJ
fumecheng-2860	29	4	the	the	DET
fumecheng-2860	29	5	error	error	NOUN
fumecheng-2860	29	6	is	be	AUX
fumecheng-2860	29	7	not	not	PART
fumecheng-2860	29	8	large	large	ADJ
fumecheng-2860	29	9	and	and	CCONJ
fumecheng-2860	29	10	that	that	SCONJ
fumecheng-2860	29	11	the	the	DET
fumecheng-2860	29	12	cattaneo	cattaneo	PROPN
fumecheng-2860	29	13	-	-	PUNCT
fumecheng-2860	29	14	mindlin	mindlin	NOUN
fumecheng-2860	29	15	solution	solution	NOUN
fumecheng-2860	29	16	is	be	AUX
fumecheng-2860	29	17	a	a	DET
fumecheng-2860	29	18	good	good	ADJ
fumecheng-2860	29	19	approximation	approximation	NOUN
fumecheng-2860	29	20	.	.	PUNCT
fumecheng-2860	30	1	later	later	ADJ
fumecheng-2860	30	2	comparisons	comparison	NOUN
fumecheng-2860	30	3	with	with	ADP
fumecheng-2860	30	4	numerical	numerical	ADJ
fumecheng-2860	30	5	solutions	solution	NOUN
fumecheng-2860	30	6	have	have	AUX
fumecheng-2860	30	7	shown	show	VERB
fumecheng-2860	30	8	that	that	SCONJ
fumecheng-2860	30	9	the	the	DET
fumecheng-2860	30	10	above	above	ADJ
fumecheng-2860	30	11	mentioned	mention	VERB
fumecheng-2860	30	12	inconsistency	inconsistency	NOUN
fumecheng-2860	30	13	may	may	AUX
fumecheng-2860	30	14	have	have	VERB
fumecheng-2860	30	15	an	an	DET
fumecheng-2860	30	16	important	important	ADJ
fumecheng-2860	30	17	influence	influence	NOUN
fumecheng-2860	30	18	on	on	ADP
fumecheng-2860	30	19	the	the	DET
fumecheng-2860	30	20	distribution	distribution	NOUN
fumecheng-2860	30	21	of	of	ADP
fumecheng-2860	30	22	wear	wear	NOUN
fumecheng-2860	30	23	but	but	CCONJ
fumecheng-2860	30	24	has	have	VERB
fumecheng-2860	30	25	almost	almost	ADV
fumecheng-2860	30	26	no	no	PRON
fumecheng-2860	30	27	impact	impact	NOUN
fumecheng-2860	30	28	on	on	ADP
fumecheng-2860	30	29	the	the	DET
fumecheng-2860	30	30	macroscopic	macroscopic	ADJ
fumecheng-2860	30	31	forcedisplacement	forcedisplacement	NOUN
fumecheng-2860	30	32	relations	relation	NOUN
fumecheng-2860	30	33	[	[	X
fumecheng-2860	30	34	8	8	NUM
fumecheng-2860	30	35	]	]	PUNCT
fumecheng-2860	30	36	.	.	PUNCT
fumecheng-2860	31	1	a	a	DET
fumecheng-2860	31	2	detailed	detailed	ADJ
fumecheng-2860	31	3	analysis	analysis	NOUN
fumecheng-2860	31	4	can	can	AUX
fumecheng-2860	31	5	be	be	AUX
fumecheng-2860	31	6	found	find	VERB
fumecheng-2860	31	7	also	also	ADV
fumecheng-2860	31	8	in	in	ADP
fumecheng-2860	31	9	[	[	X
fumecheng-2860	31	10	9	9	NUM
fumecheng-2860	31	11	]	]	PUNCT
fumecheng-2860	31	12	.	.	PUNCT
fumecheng-2860	32	1	in	in	ADP
fumecheng-2860	32	2	the	the	DET
fumecheng-2860	32	3	present	present	ADJ
fumecheng-2860	32	4	paper	paper	NOUN
fumecheng-2860	32	5	we	we	PRON
fumecheng-2860	32	6	consider	consider	VERB
fumecheng-2860	32	7	a	a	DET
fumecheng-2860	32	8	more	more	ADV
fumecheng-2860	32	9	complicated	complicated	ADJ
fumecheng-2860	32	10	problem	problem	NOUN
fumecheng-2860	32	11	of	of	ADP
fumecheng-2860	32	12	bi	bi	ADJ
fumecheng-2860	32	13	-	-	ADJ
fumecheng-2860	32	14	axial	axial	ADJ
fumecheng-2860	32	15	oscillating	oscillating	NOUN
fumecheng-2860	32	16	loading	loading	NOUN
fumecheng-2860	32	17	(	(	PUNCT
fumecheng-2860	32	18	superimposed	superimpose	VERB
fumecheng-2860	32	19	loading	loading	NOUN
fumecheng-2860	32	20	in	in	ADP
fumecheng-2860	32	21	two	two	NUM
fumecheng-2860	32	22	in	in	ADP
fumecheng-2860	32	23	-	-	PUNCT
fumecheng-2860	32	24	plane	plane	NOUN
fumecheng-2860	32	25	directions	direction	NOUN
fumecheng-2860	32	26	)	)	PUNCT
fumecheng-2860	32	27	.	.	PUNCT
fumecheng-2860	33	1	the	the	DET
fumecheng-2860	33	2	aim	aim	NOUN
fumecheng-2860	33	3	of	of	ADP
fumecheng-2860	33	4	the	the	DET
fumecheng-2860	33	5	paper	paper	NOUN
fumecheng-2860	33	6	is	be	AUX
fumecheng-2860	33	7	twofold	twofold	ADV
fumecheng-2860	33	8	:	:	PUNCT
fumecheng-2860	33	9	on	on	ADP
fumecheng-2860	33	10	one	one	NUM
fumecheng-2860	33	11	hand	hand	NOUN
fumecheng-2860	33	12	,	,	PUNCT
fumecheng-2860	33	13	we	we	PRON
fumecheng-2860	33	14	are	be	AUX
fumecheng-2860	33	15	interested	interested	ADJ
fumecheng-2860	33	16	in	in	ADP
fumecheng-2860	33	17	a	a	DET
fumecheng-2860	33	18	better	well	ADJ
fumecheng-2860	33	19	understanding	understanding	NOUN
fumecheng-2860	33	20	of	of	ADP
fumecheng-2860	33	21	the	the	DET
fumecheng-2860	33	22	energy	energy	NOUN
fumecheng-2860	33	23	dissipation	dissipation	NOUN
fumecheng-2860	33	24	in	in	ADP
fumecheng-2860	33	25	biaxially	biaxially	ADV
fumecheng-2860	33	26	loaded	load	VERB
fumecheng-2860	33	27	contacts	contact	NOUN
fumecheng-2860	33	28	;	;	PUNCT
fumecheng-2860	33	29	on	on	ADP
fumecheng-2860	33	30	the	the	DET
fumecheng-2860	33	31	other	other	ADJ
fumecheng-2860	33	32	hand	hand	NOUN
fumecheng-2860	33	33	,	,	PUNCT
fumecheng-2860	33	34	we	we	PRON
fumecheng-2860	33	35	would	would	AUX
fumecheng-2860	33	36	like	like	VERB
fumecheng-2860	33	37	to	to	PART
fumecheng-2860	33	38	check	check	VERB
fumecheng-2860	33	39	the	the	DET
fumecheng-2860	33	40	applicability	applicability	NOUN
fumecheng-2860	33	41	of	of	ADP
fumecheng-2860	33	42	the	the	DET
fumecheng-2860	33	43	dimensionality	dimensionality	NOUN
fumecheng-2860	33	44	reduction	reduction	NOUN
fumecheng-2860	33	45	method	method	NOUN
fumecheng-2860	33	46	to	to	ADP
fumecheng-2860	33	47	this	this	DET
fumecheng-2860	33	48	class	class	NOUN
fumecheng-2860	33	49	of	of	ADP
fumecheng-2860	33	50	problems	problem	NOUN
fumecheng-2860	33	51	.	.	PUNCT
fumecheng-2860	34	1	at	at	ADP
fumecheng-2860	34	2	present	present	ADJ
fumecheng-2860	34	3	,	,	PUNCT
fumecheng-2860	34	4	there	there	PRON
fumecheng-2860	34	5	are	be	VERB
fumecheng-2860	34	6	only	only	ADV
fumecheng-2860	34	7	a	a	DET
fumecheng-2860	34	8	few	few	ADJ
fumecheng-2860	34	9	numerical	numerical	ADJ
fumecheng-2860	34	10	studies	study	NOUN
fumecheng-2860	34	11	providing	provide	VERB
fumecheng-2860	34	12	the	the	DET
fumecheng-2860	34	13	dependencies	dependency	NOUN
fumecheng-2860	34	14	of	of	ADP
fumecheng-2860	34	15	dissipated	dissipate	VERB
fumecheng-2860	34	16	friction	friction	NOUN
fumecheng-2860	34	17	energy	energy	NOUN
fumecheng-2860	34	18	on	on	ADP
fumecheng-2860	34	19	the	the	DET
fumecheng-2860	34	20	parameters	parameter	NOUN
fumecheng-2860	34	21	of	of	ADP
fumecheng-2860	34	22	loading	loading	NOUN
fumecheng-2860	34	23	[	[	X
fumecheng-2860	34	24	10	10	NUM
fumecheng-2860	34	25	]	]	PUNCT
fumecheng-2860	34	26	.	.	PUNCT
fumecheng-2860	35	1	the	the	DET
fumecheng-2860	35	2	applicability	applicability	NOUN
fumecheng-2860	35	3	of	of	ADP
fumecheng-2860	35	4	the	the	DET
fumecheng-2860	35	5	mdr	mdr	PROPN
fumecheng-2860	35	6	would	would	AUX
fumecheng-2860	35	7	provide	provide	VERB
fumecheng-2860	35	8	a	a	DET
fumecheng-2860	35	9	simple	simple	ADJ
fumecheng-2860	35	10	tool	tool	NOUN
fumecheng-2860	35	11	for	for	ADP
fumecheng-2860	35	12	simulating	simulate	VERB
fumecheng-2860	35	13	arbitrary	arbitrary	ADJ
fumecheng-2860	35	14	loading	loading	NOUN
fumecheng-2860	35	15	histories	history	NOUN
fumecheng-2860	35	16	with	with	ADP
fumecheng-2860	35	17	applications	application	NOUN
fumecheng-2860	35	18	in	in	ADP
fumecheng-2860	35	19	the	the	DET
fumecheng-2860	35	20	dynamics	dynamic	NOUN
fumecheng-2860	35	21	of	of	ADP
fumecheng-2860	35	22	structures	structure	NOUN
fumecheng-2860	35	23	with	with	ADP
fumecheng-2860	35	24	frictional	frictional	ADJ
fumecheng-2860	35	25	contacts	contact	NOUN
fumecheng-2860	35	26	.	.	PUNCT
fumecheng-2860	36	1	2	2	X
fumecheng-2860	36	2	.	.	X
fumecheng-2860	36	3	energy	energy	NOUN
fumecheng-2860	36	4	dissipation	dissipation	NOUN
fumecheng-2860	36	5	in	in	ADP
fumecheng-2860	36	6	a	a	DET
fumecheng-2860	36	7	single	single	ADJ
fumecheng-2860	36	8	-	-	PUNCT
fumecheng-2860	36	9	point	point	NOUN
fumecheng-2860	36	10	contact	contact	NOUN
fumecheng-2860	36	11	for	for	ADP
fumecheng-2860	36	12	circular	circular	ADJ
fumecheng-2860	36	13	movement	movement	NOUN
fumecheng-2860	36	14	let	let	VERB
fumecheng-2860	36	15	us	we	PRON
fumecheng-2860	36	16	start	start	VERB
fumecheng-2860	36	17	by	by	ADP
fumecheng-2860	36	18	considering	consider	VERB
fumecheng-2860	36	19	a	a	DET
fumecheng-2860	36	20	single	single	ADJ
fumecheng-2860	36	21	isotropic	isotropic	NOUN
fumecheng-2860	36	22	linearly	linearly	ADV
fumecheng-2860	36	23	elastic	elastic	ADJ
fumecheng-2860	36	24	massless	massless	NOUN
fumecheng-2860	36	25	element	element	NOUN
fumecheng-2860	36	26	which	which	PRON
fumecheng-2860	36	27	can	can	AUX
fumecheng-2860	36	28	deform	deform	VERB
fumecheng-2860	36	29	in	in	ADP
fumecheng-2860	36	30	normal	normal	ADJ
fumecheng-2860	36	31	direction	direction	NOUN
fumecheng-2860	36	32	as	as	ADV
fumecheng-2860	36	33	well	well	ADV
fumecheng-2860	36	34	as	as	ADP
fumecheng-2860	36	35	in	in	ADP
fumecheng-2860	36	36	two	two	NUM
fumecheng-2860	36	37	tangential	tangential	ADJ
fumecheng-2860	36	38	directions	direction	NOUN
fumecheng-2860	36	39	.	.	PUNCT
fumecheng-2860	37	1	we	we	PRON
fumecheng-2860	37	2	will	will	AUX
fumecheng-2860	37	3	call	call	VERB
fumecheng-2860	37	4	this	this	DET
fumecheng-2860	37	5	element	element	NOUN
fumecheng-2860	37	6	a	a	DET
fumecheng-2860	37	7	“	"	PUNCT
fumecheng-2860	37	8	spring	spring	NOUN
fumecheng-2860	37	9	”	"	PUNCT
fumecheng-2860	37	10	.	.	PUNCT
fumecheng-2860	38	1	the	the	DET
fumecheng-2860	38	2	spring	spring	NOUN
fumecheng-2860	38	3	should	should	AUX
fumecheng-2860	38	4	have	have	VERB
fumecheng-2860	38	5	out	out	ADV
fumecheng-2860	38	6	-	-	PUNCT
fumecheng-2860	38	7	of	of	ADP
fumecheng-2860	38	8	-	-	PUNCT
fumecheng-2860	38	9	plane	plane	NOUN
fumecheng-2860	38	10	stiffness	stiffness	NOUN
fumecheng-2860	38	11	kz	kz	PROPN
fumecheng-2860	38	12	and	and	CCONJ
fumecheng-2860	38	13	isotropic	isotropic	ADJ
fumecheng-2860	38	14	inplane	inplane	NOUN
fumecheng-2860	38	15	stiffness	stiffness	NOUN
fumecheng-2860	38	16	kx	kx	PROPN
fumecheng-2860	39	1	=	=	PROPN
fumecheng-2860	40	1	ky	ky	PROPN
fumecheng-2860	40	2	.	.	PUNCT
fumecheng-2860	41	1	it	it	PRON
fumecheng-2860	41	2	is	be	AUX
fumecheng-2860	41	3	first	first	ADV
fumecheng-2860	41	4	pressed	press	VERB
fumecheng-2860	41	5	against	against	ADP
fumecheng-2860	41	6	a	a	DET
fumecheng-2860	41	7	rigid	rigid	ADJ
fumecheng-2860	41	8	half	half	ADJ
fumecheng-2860	41	9	-	-	PUNCT
fumecheng-2860	41	10	plane	plane	NOUN
fumecheng-2860	41	11	with	with	ADP
fumecheng-2860	41	12	a	a	DET
fumecheng-2860	41	13	normal	normal	ADJ
fumecheng-2860	41	14	force	force	NOUN
fumecheng-2860	41	15	fz	fz	NOUN
fumecheng-2860	41	16	and	and	CCONJ
fumecheng-2860	41	17	then	then	ADV
fumecheng-2860	41	18	moved	move	VERB
fumecheng-2860	41	19	in	in	ADP
fumecheng-2860	41	20	the	the	DET
fumecheng-2860	41	21	direction	direction	NOUN
fumecheng-2860	41	22	of	of	ADP
fumecheng-2860	41	23	the	the	DET
fumecheng-2860	41	24	x	x	NOUN
fumecheng-2860	41	25	-	-	NOUN
fumecheng-2860	41	26	axis	axis	ADJ
fumecheng-2860	41	27	.	.	PUNCT
fumecheng-2860	42	1	we	we	PRON
fumecheng-2860	42	2	will	will	AUX
fumecheng-2860	42	3	assume	assume	VERB
fumecheng-2860	42	4	that	that	SCONJ
fumecheng-2860	42	5	at	at	ADP
fumecheng-2860	42	6	the	the	DET
fumecheng-2860	42	7	immediate	immediate	ADJ
fumecheng-2860	42	8	contact	contact	NOUN
fumecheng-2860	42	9	point	point	NOUN
fumecheng-2860	42	10	between	between	ADP
fumecheng-2860	42	11	the	the	DET
fumecheng-2860	42	12	spring	spring	NOUN
fumecheng-2860	42	13	and	and	CCONJ
fumecheng-2860	42	14	the	the	DET
fumecheng-2860	42	15	substrate	substrate	NOUN
fumecheng-2860	42	16	,	,	PUNCT
fumecheng-2860	42	17	there	there	PRON
fumecheng-2860	42	18	is	be	VERB
fumecheng-2860	42	19	friction	friction	NOUN
fumecheng-2860	42	20	characterized	characterize	VERB
fumecheng-2860	42	21	by	by	ADP
fumecheng-2860	42	22	a	a	DET
fumecheng-2860	42	23	constant	constant	ADJ
fumecheng-2860	42	24	coefficient	coefficient	NOUN
fumecheng-2860	42	25	of	of	ADP
fumecheng-2860	42	26	friction	friction	NOUN
fumecheng-2860	42	27	μ	μ	NOUN
fumecheng-2860	42	28	.	.	PUNCT
fumecheng-2860	43	1	when	when	SCONJ
fumecheng-2860	43	2	the	the	DET
fumecheng-2860	43	3	free	free	ADJ
fumecheng-2860	43	4	end	end	NOUN
fumecheng-2860	43	5	of	of	ADP
fumecheng-2860	43	6	the	the	DET
fumecheng-2860	43	7	spring	spring	NOUN
fumecheng-2860	43	8	is	be	AUX
fumecheng-2860	43	9	moved	move	VERB
fumecheng-2860	43	10	horizontally	horizontally	ADV
fumecheng-2860	43	11	,	,	PUNCT
fumecheng-2860	43	12	it	it	PRON
fumecheng-2860	43	13	first	first	ADV
fumecheng-2860	43	14	deforms	deform	VERB
fumecheng-2860	43	15	elastically	elastically	ADV
fumecheng-2860	43	16	until	until	SCONJ
fumecheng-2860	43	17	the	the	DET
fumecheng-2860	43	18	in	in	ADP
fumecheng-2860	43	19	-	-	PUNCT
fumecheng-2860	43	20	plane	plane	NOUN
fumecheng-2860	43	21	displacement	displacement	NOUN
fumecheng-2860	43	22	achieves	achieve	VERB
fumecheng-2860	43	23	the	the	DET
fumecheng-2860	43	24	critical	critical	ADJ
fumecheng-2860	43	25	value	value	NOUN
fumecheng-2860	43	26	0	0	NUM
fumecheng-2860	43	27	/z	/z	PUNCT
fumecheng-2860	43	28	xl	xl	PROPN
fumecheng-2860	43	29	f	f	PROPN
fumecheng-2860	43	30	k	k	ADJ
fumecheng-2860	43	31			NOUN
fumecheng-2860	43	32	.	.	PUNCT
fumecheng-2860	44	1	(	(	PUNCT
fumecheng-2860	44	2	1	1	X
fumecheng-2860	44	3	)	)	PUNCT
fumecheng-2860	44	4	after	after	ADP
fumecheng-2860	44	5	this	this	PRON
fumecheng-2860	44	6	,	,	PUNCT
fumecheng-2860	44	7	the	the	DET
fumecheng-2860	44	8	lower	low	ADJ
fumecheng-2860	44	9	contact	contact	NOUN
fumecheng-2860	44	10	point	point	NOUN
fumecheng-2860	44	11	starts	start	VERB
fumecheng-2860	44	12	sliding	slide	VERB
fumecheng-2860	44	13	and	and	CCONJ
fumecheng-2860	44	14	the	the	DET
fumecheng-2860	44	15	force	force	NOUN
fumecheng-2860	44	16	remains	remain	VERB
fumecheng-2860	44	17	constant	constant	ADJ
fumecheng-2860	44	18	.	.	PUNCT
fumecheng-2860	45	1	if	if	SCONJ
fumecheng-2860	45	2	the	the	DET
fumecheng-2860	45	3	spring	spring	NOUN
fumecheng-2860	45	4	is	be	AUX
fumecheng-2860	45	5	moved	move	VERB
fumecheng-2860	45	6	on	on	ADP
fumecheng-2860	45	7	a	a	DET
fumecheng-2860	45	8	circle	circle	NOUN
fumecheng-2860	45	9	with	with	ADP
fumecheng-2860	45	10	radius	radius	NOUN
fumecheng-2860	45	11	r	r	PROPN
fumecheng-2860	45	12	<	<	X
fumecheng-2860	45	13	l0	l0	PROPN
fumecheng-2860	45	14	,	,	PUNCT
fumecheng-2860	45	15	then	then	ADV
fumecheng-2860	45	16	it	it	PRON
fumecheng-2860	45	17	remains	remain	VERB
fumecheng-2860	45	18	in	in	ADP
fumecheng-2860	45	19	the	the	DET
fumecheng-2860	45	20	stick	stick	NOUN
fumecheng-2860	45	21	state	state	NOUN
fumecheng-2860	45	22	at	at	ADP
fumecheng-2860	45	23	any	any	DET
fumecheng-2860	45	24	time	time	NOUN
fumecheng-2860	45	25	.	.	PUNCT
fumecheng-2860	46	1	however	however	ADV
fumecheng-2860	46	2	,	,	PUNCT
fumecheng-2860	46	3	if	if	SCONJ
fumecheng-2860	46	4	the	the	DET
fumecheng-2860	46	5	radius	radius	NOUN
fumecheng-2860	46	6	of	of	ADP
fumecheng-2860	46	7	movement	movement	NOUN
fumecheng-2860	46	8	exceeds	exceed	VERB
fumecheng-2860	46	9	critical	critical	ADJ
fumecheng-2860	46	10	value	value	NOUN
fumecheng-2860	46	11	,	,	PUNCT
fumecheng-2860	46	12	r≥l0	r≥l0	PROPN
fumecheng-2860	46	13	,	,	PUNCT
fumecheng-2860	46	14	the	the	DET
fumecheng-2860	46	15	contact	contact	NOUN
fumecheng-2860	46	16	simulation	simulation	NOUN
fumecheng-2860	46	17	of	of	ADP
fumecheng-2860	46	18	frictional	frictional	ADJ
fumecheng-2860	46	19	dissipation	dissipation	NOUN
fumecheng-2860	46	20	under	under	ADP
fumecheng-2860	46	21	biaxial	biaxial	ADJ
fumecheng-2860	46	22	tangential	tangential	ADJ
fumecheng-2860	46	23	loading	loading	NOUN
fumecheng-2860	46	24	...	...	PUNCT
fumecheng-2860	46	25	297	297	NUM
fumecheng-2860	46	26	point	point	NOUN
fumecheng-2860	46	27	will	will	AUX
fumecheng-2860	46	28	slip	slip	VERB
fumecheng-2860	46	29	.	.	PUNCT
fumecheng-2860	47	1	in	in	ADP
fumecheng-2860	47	2	the	the	DET
fumecheng-2860	47	3	stationary	stationary	ADJ
fumecheng-2860	47	4	state	state	NOUN
fumecheng-2860	47	5	,	,	PUNCT
fumecheng-2860	47	6	it	it	PRON
fumecheng-2860	47	7	will	will	AUX
fumecheng-2860	47	8	move	move	VERB
fumecheng-2860	47	9	in	in	ADP
fumecheng-2860	47	10	a	a	DET
fumecheng-2860	47	11	circle	circle	NOUN
fumecheng-2860	47	12	with	with	ADP
fumecheng-2860	47	13	a	a	DET
fumecheng-2860	47	14	smaller	small	ADJ
fumecheng-2860	47	15	radius	radius	NOUN
fumecheng-2860	47	16	rc	rc	PROPN
fumecheng-2860	47	17	,	,	PUNCT
fumecheng-2860	47	18	while	while	SCONJ
fumecheng-2860	47	19	the	the	DET
fumecheng-2860	47	20	in	in	ADP
fumecheng-2860	47	21	-	-	PUNCT
fumecheng-2860	47	22	plane	plane	NOUN
fumecheng-2860	47	23	displacement	displacement	NOUN
fumecheng-2860	47	24	of	of	ADP
fumecheng-2860	47	25	the	the	DET
fumecheng-2860	47	26	spring	spring	NOUN
fumecheng-2860	47	27	remains	remain	VERB
fumecheng-2860	47	28	constant	constant	ADJ
fumecheng-2860	47	29	and	and	CCONJ
fumecheng-2860	47	30	equal	equal	ADJ
fumecheng-2860	47	31	to	to	ADP
fumecheng-2860	47	32	l0	l0	PROPN
fumecheng-2860	47	33	.	.	PUNCT
fumecheng-2860	48	1	the	the	DET
fumecheng-2860	48	2	frictional	frictional	ADJ
fumecheng-2860	48	3	force	force	NOUN
fumecheng-2860	48	4	is	be	AUX
fumecheng-2860	48	5	assumed	assume	VERB
fumecheng-2860	48	6	to	to	PART
fumecheng-2860	48	7	be	be	AUX
fumecheng-2860	48	8	opposite	opposite	ADJ
fumecheng-2860	48	9	to	to	ADP
fumecheng-2860	48	10	the	the	DET
fumecheng-2860	48	11	elastic	elastic	ADJ
fumecheng-2860	48	12	force	force	NOUN
fumecheng-2860	48	13	and	and	CCONJ
fumecheng-2860	48	14	at	at	ADP
fumecheng-2860	48	15	the	the	DET
fumecheng-2860	48	16	same	same	ADJ
fumecheng-2860	48	17	time	time	NOUN
fumecheng-2860	48	18	it	it	PRON
fumecheng-2860	48	19	has	have	VERB
fumecheng-2860	48	20	to	to	PART
fumecheng-2860	48	21	be	be	AUX
fumecheng-2860	48	22	directed	direct	VERB
fumecheng-2860	48	23	opposite	opposite	ADV
fumecheng-2860	48	24	to	to	ADP
fumecheng-2860	48	25	the	the	DET
fumecheng-2860	48	26	velocity	velocity	NOUN
fumecheng-2860	48	27	vector	vector	NOUN
fumecheng-2860	48	28	.	.	PUNCT
fumecheng-2860	49	1	therefore	therefore	ADV
fumecheng-2860	49	2	,	,	PUNCT
fumecheng-2860	49	3	the	the	DET
fumecheng-2860	49	4	contact	contact	NOUN
fumecheng-2860	49	5	point	point	NOUN
fumecheng-2860	49	6	between	between	ADP
fumecheng-2860	49	7	the	the	DET
fumecheng-2860	49	8	spring	spring	NOUN
fumecheng-2860	49	9	and	and	CCONJ
fumecheng-2860	49	10	the	the	DET
fumecheng-2860	49	11	half	half	ADJ
fumecheng-2860	49	12	-	-	PUNCT
fumecheng-2860	49	13	plane	plane	NOUN
fumecheng-2860	49	14	will	will	AUX
fumecheng-2860	49	15	move	move	VERB
fumecheng-2860	49	16	in	in	ADP
fumecheng-2860	49	17	the	the	DET
fumecheng-2860	49	18	direction	direction	NOUN
fumecheng-2860	49	19	of	of	ADP
fumecheng-2860	49	20	the	the	DET
fumecheng-2860	49	21	elastic	elastic	ADJ
fumecheng-2860	49	22	displacement	displacement	NOUN
fumecheng-2860	49	23	.	.	PUNCT
fumecheng-2860	50	1	on	on	ADP
fumecheng-2860	50	2	the	the	DET
fumecheng-2860	50	3	other	other	ADJ
fumecheng-2860	50	4	hand	hand	NOUN
fumecheng-2860	50	5	,	,	PUNCT
fumecheng-2860	50	6	this	this	DET
fumecheng-2860	50	7	velocity	velocity	NOUN
fumecheng-2860	50	8	will	will	AUX
fumecheng-2860	50	9	be	be	AUX
fumecheng-2860	50	10	directed	direct	VERB
fumecheng-2860	50	11	tangentially	tangentially	ADV
fumecheng-2860	50	12	to	to	ADP
fumecheng-2860	50	13	the	the	DET
fumecheng-2860	50	14	inner	inner	ADJ
fumecheng-2860	50	15	circle	circle	NOUN
fumecheng-2860	50	16	with	with	ADP
fumecheng-2860	50	17	radius	radius	PROPN
fumecheng-2860	50	18	rc	rc	PROPN
fumecheng-2860	50	19	,	,	PUNCT
fumecheng-2860	50	20	which	which	PRON
fumecheng-2860	50	21	means	mean	VERB
fumecheng-2860	50	22	that	that	SCONJ
fumecheng-2860	50	23	the	the	DET
fumecheng-2860	50	24	elastic	elastic	ADJ
fumecheng-2860	50	25	displacement	displacement	NOUN
fumecheng-2860	50	26	of	of	ADP
fumecheng-2860	50	27	the	the	DET
fumecheng-2860	50	28	spring	spring	NOUN
fumecheng-2860	50	29	is	be	AUX
fumecheng-2860	50	30	directed	direct	VERB
fumecheng-2860	50	31	tangentially	tangentially	ADV
fumecheng-2860	50	32	to	to	ADP
fumecheng-2860	50	33	this	this	DET
fumecheng-2860	50	34	circle	circle	NOUN
fumecheng-2860	50	35	,	,	PUNCT
fumecheng-2860	50	36	as	as	SCONJ
fumecheng-2860	50	37	shown	show	VERB
fumecheng-2860	50	38	in	in	ADP
fumecheng-2860	50	39	fig	fig	NOUN
fumecheng-2860	50	40	.	.	PUNCT
fumecheng-2860	51	1	1	1	X
fumecheng-2860	51	2	.	.	X
fumecheng-2860	51	3	the	the	DET
fumecheng-2860	51	4	dissipation	dissipation	NOUN
fumecheng-2860	51	5	power	power	NOUN
fumecheng-2860	51	6	is	be	AUX
fumecheng-2860	51	7	then	then	ADV
fumecheng-2860	51	8	obviously	obviously	ADV
fumecheng-2860	51	9	given	give	VERB
fumecheng-2860	51	10	by	by	ADP
fumecheng-2860	51	11	the	the	DET
fumecheng-2860	51	12	equation	equation	NOUN
fumecheng-2860	51	13	2	2	NUM
fumecheng-2860	51	14	macro	macro	NOUN
fumecheng-2860	51	15	macro	macro	X
fumecheng-2860	51	16	0cos	0cos	X
fumecheng-2860	51	17	1	1	NUM
fumecheng-2860	51	18	(	(	PUNCT
fumecheng-2860	51	19	/	/	SYM
fumecheng-2860	51	20	)	)	PUNCT
fumecheng-2860	51	21	z	z	NOUN
fumecheng-2860	51	22	zw	zw	PROPN
fumecheng-2860	52	1	v	v	ADP
fumecheng-2860	52	2	f	f	PROPN
fumecheng-2860	52	3	v	v	PROPN
fumecheng-2860	52	4	f	f	PROPN
fumecheng-2860	52	5	l	l	NOUN
fumecheng-2860	52	6	r	r	X
fumecheng-2860	53	1			PROPN
fumecheng-2860	53	2			NUM
fumecheng-2860	53	3			SYM
fumecheng-2860	54	1			NUM
fumecheng-2860	54	2			NOUN
fumecheng-2860	54	3			NOUN
fumecheng-2860	54	4	,	,	PUNCT
fumecheng-2860	54	5	(	(	PUNCT
fumecheng-2860	54	6	2	2	X
fumecheng-2860	54	7	)	)	PUNCT
fumecheng-2860	54	8	where	where	SCONJ
fumecheng-2860	54	9	vmacro	vmacro	NOUN
fumecheng-2860	54	10	is	be	AUX
fumecheng-2860	54	11	the	the	DET
fumecheng-2860	54	12	absolute	absolute	ADJ
fumecheng-2860	54	13	velocity	velocity	NOUN
fumecheng-2860	54	14	of	of	ADP
fumecheng-2860	54	15	the	the	DET
fumecheng-2860	54	16	spring	spring	NOUN
fumecheng-2860	54	17	motion	motion	NOUN
fumecheng-2860	54	18	.	.	PUNCT
fumecheng-2860	55	1	for	for	ADP
fumecheng-2860	55	2	one	one	NUM
fumecheng-2860	55	3	cycle	cycle	NOUN
fumecheng-2860	55	4	of	of	ADP
fumecheng-2860	55	5	motion	motion	NOUN
fumecheng-2860	55	6	with	with	ADP
fumecheng-2860	55	7	radius	radius	NOUN
fumecheng-2860	55	8	r	r	PROPN
fumecheng-2860	55	9	>	>	X
fumecheng-2860	55	10	l0	l0	NOUN
fumecheng-2860	55	11	the	the	DET
fumecheng-2860	55	12	value	value	NOUN
fumecheng-2860	55	13	of	of	ADP
fumecheng-2860	55	14	the	the	DET
fumecheng-2860	55	15	dissipated	dissipate	VERB
fumecheng-2860	55	16	energy	energy	NOUN
fumecheng-2860	55	17	is	be	AUX
fumecheng-2860	55	18	2	2	NUM
fumecheng-2860	55	19	cycle	cycle	NOUN
fumecheng-2860	55	20	02	02	NUM
fumecheng-2860	55	21	1	1	NUM
fumecheng-2860	55	22	(	(	PUNCT
fumecheng-2860	55	23	/	/	SYM
fumecheng-2860	55	24	)	)	PUNCT
fumecheng-2860	55	25	zw	zw	PROPN
fumecheng-2860	55	26	w	w	PROPN
fumecheng-2860	55	27	t	t	PROPN
fumecheng-2860	55	28	r	r	NOUN
fumecheng-2860	55	29	f	f	PROPN
fumecheng-2860	55	30	l	l	NOUN
fumecheng-2860	55	31	r	r	X
fumecheng-2860	55	32			NOUN
fumecheng-2860	55	33			NUM
fumecheng-2860	55	34			ADJ
fumecheng-2860	55	35			NOUN
fumecheng-2860	55	36			NOUN
fumecheng-2860	55	37	,	,	PUNCT
fumecheng-2860	55	38	(	(	PUNCT
fumecheng-2860	55	39	3	3	X
fumecheng-2860	55	40	)	)	PUNCT
fumecheng-2860	55	41	where	where	SCONJ
fumecheng-2860	55	42	δtcycle	δtcycle	NOUN
fumecheng-2860	55	43	is	be	AUX
fumecheng-2860	55	44	the	the	DET
fumecheng-2860	55	45	time	time	NOUN
fumecheng-2860	55	46	needed	need	VERB
fumecheng-2860	55	47	to	to	PART
fumecheng-2860	55	48	perform	perform	VERB
fumecheng-2860	55	49	one	one	NUM
fumecheng-2860	55	50	cycle	cycle	NOUN
fumecheng-2860	55	51	of	of	ADP
fumecheng-2860	55	52	circular	circular	ADJ
fumecheng-2860	55	53	motion	motion	NOUN
fumecheng-2860	55	54	.	.	PUNCT
fumecheng-2860	56	1	if	if	SCONJ
fumecheng-2860	56	2	the	the	DET
fumecheng-2860	56	3	initial	initial	ADJ
fumecheng-2860	56	4	position	position	NOUN
fumecheng-2860	56	5	of	of	ADP
fumecheng-2860	56	6	the	the	DET
fumecheng-2860	56	7	spring	spring	NOUN
fumecheng-2860	56	8	does	do	AUX
fumecheng-2860	56	9	not	not	PART
fumecheng-2860	56	10	correspond	correspond	VERB
fumecheng-2860	56	11	to	to	ADP
fumecheng-2860	56	12	the	the	DET
fumecheng-2860	56	13	stationary	stationary	ADJ
fumecheng-2860	56	14	one	one	NUM
fumecheng-2860	56	15	,	,	PUNCT
fumecheng-2860	56	16	it	it	PRON
fumecheng-2860	56	17	moves	move	VERB
fumecheng-2860	56	18	on	on	ADP
fumecheng-2860	56	19	a	a	DET
fumecheng-2860	56	20	spiral	spiral	ADJ
fumecheng-2860	56	21	asymptotically	asymptotically	ADV
fumecheng-2860	56	22	approaching	approach	VERB
fumecheng-2860	56	23	the	the	DET
fumecheng-2860	56	24	circle	circle	NOUN
fumecheng-2860	56	25	with	with	ADP
fumecheng-2860	56	26	radius	radius	PROPN
fumecheng-2860	56	27	rc	rc	PROPN
fumecheng-2860	56	28	as	as	SCONJ
fumecheng-2860	56	29	shown	show	VERB
fumecheng-2860	56	30	in	in	ADP
fumecheng-2860	56	31	fig	fig	NOUN
fumecheng-2860	56	32	.	.	PUNCT
fumecheng-2860	57	1	1b	1b	NUM
fumecheng-2860	57	2	.	.	PUNCT
fumecheng-2860	58	1	fig	fig	NOUN
fumecheng-2860	58	2	.	.	PUNCT
fumecheng-2860	59	1	1	1	NUM
fumecheng-2860	59	2	a	a	X
fumecheng-2860	59	3	)	)	PUNCT
fumecheng-2860	59	4	the	the	DET
fumecheng-2860	59	5	scheme	scheme	NOUN
fumecheng-2860	59	6	of	of	ADP
fumecheng-2860	59	7	a	a	DET
fumecheng-2860	59	8	circular	circular	ADJ
fumecheng-2860	59	9	motion	motion	NOUN
fumecheng-2860	59	10	of	of	ADP
fumecheng-2860	59	11	a	a	DET
fumecheng-2860	59	12	single	single	ADJ
fumecheng-2860	59	13	spring	spring	NOUN
fumecheng-2860	59	14	;	;	PUNCT
fumecheng-2860	59	15	b	b	X
fumecheng-2860	59	16	)	)	PUNCT
fumecheng-2860	59	17	the	the	DET
fumecheng-2860	59	18	results	result	NOUN
fumecheng-2860	59	19	of	of	ADP
fumecheng-2860	59	20	the	the	DET
fumecheng-2860	59	21	numerical	numerical	PROPN
fumecheng-2860	59	22	simulation	simulation	PROPN
fumecheng-2860	59	23	:	:	PUNCT
fumecheng-2860	59	24	the	the	DET
fumecheng-2860	59	25	evolution	evolution	NOUN
fumecheng-2860	59	26	of	of	ADP
fumecheng-2860	59	27	the	the	DET
fumecheng-2860	59	28	trajectory	trajectory	NOUN
fumecheng-2860	59	29	of	of	ADP
fumecheng-2860	59	30	a	a	DET
fumecheng-2860	59	31	single	single	ADJ
fumecheng-2860	59	32	spring	spring	NOUN
fumecheng-2860	59	33	during	during	ADP
fumecheng-2860	59	34	a	a	DET
fumecheng-2860	59	35	circular	circular	ADJ
fumecheng-2860	59	36	motion	motion	NOUN
fumecheng-2860	59	37	3	3	NUM
fumecheng-2860	59	38	.	.	PUNCT
fumecheng-2860	59	39	energy	energy	NOUN
fumecheng-2860	59	40	dissipation	dissipation	NOUN
fumecheng-2860	59	41	in	in	ADP
fumecheng-2860	59	42	a	a	DET
fumecheng-2860	59	43	curved	curved	ADJ
fumecheng-2860	59	44	contact	contact	NOUN
fumecheng-2860	59	45	for	for	ADP
fumecheng-2860	59	46	circular	circular	ADJ
fumecheng-2860	59	47	movement	movement	NOUN
fumecheng-2860	59	48	generally	generally	ADV
fumecheng-2860	59	49	,	,	PUNCT
fumecheng-2860	59	50	a	a	DET
fumecheng-2860	59	51	non	non	ADJ
fumecheng-2860	59	52	-	-	ADJ
fumecheng-2860	59	53	conforming	conforming	ADJ
fumecheng-2860	59	54	contact	contact	NOUN
fumecheng-2860	59	55	between	between	ADP
fumecheng-2860	59	56	elastic	elastic	ADJ
fumecheng-2860	59	57	solids	solid	NOUN
fumecheng-2860	59	58	can	can	AUX
fumecheng-2860	59	59	not	not	PART
fumecheng-2860	59	60	be	be	AUX
fumecheng-2860	59	61	modeled	model	VERB
fumecheng-2860	59	62	with	with	ADP
fumecheng-2860	59	63	a	a	DET
fumecheng-2860	59	64	single	single	ADJ
fumecheng-2860	59	65	spring	spring	NOUN
fumecheng-2860	59	66	.	.	PUNCT
fumecheng-2860	60	1	in	in	ADP
fumecheng-2860	60	2	the	the	DET
fumecheng-2860	60	3	case	case	NOUN
fumecheng-2860	60	4	of	of	ADP
fumecheng-2860	60	5	uni	uni	ADJ
fumecheng-2860	60	6	-	-	ADJ
fumecheng-2860	60	7	axial	axial	ADJ
fumecheng-2860	60	8	in	in	ADP
fumecheng-2860	60	9	-	-	PUNCT
fumecheng-2860	60	10	plane	plane	NOUN
fumecheng-2860	60	11	loading	loading	NOUN
fumecheng-2860	60	12	,	,	PUNCT
fumecheng-2860	60	13	the	the	DET
fumecheng-2860	60	14	contact	contact	NOUN
fumecheng-2860	60	15	problem	problem	NOUN
fumecheng-2860	60	16	can	can	AUX
fumecheng-2860	60	17	be	be	AUX
fumecheng-2860	60	18	reduced	reduce	VERB
fumecheng-2860	60	19	to	to	ADP
fumecheng-2860	60	20	a	a	DET
fumecheng-2860	60	21	contact	contact	NOUN
fumecheng-2860	60	22	of	of	ADP
fumecheng-2860	60	23	a	a	DET
fumecheng-2860	60	24	rigid	rigid	ADJ
fumecheng-2860	60	25	plane	plane	NOUN
fumecheng-2860	60	26	profile	profile	NOUN
fumecheng-2860	60	27	with	with	ADP
fumecheng-2860	60	28	a	a	DET
fumecheng-2860	60	29	series	series	NOUN
fumecheng-2860	60	30	of	of	ADP
fumecheng-2860	60	31	independent	independent	ADJ
fumecheng-2860	60	32	springs	spring	NOUN
fumecheng-2860	60	33	.	.	PUNCT
fumecheng-2860	61	1	this	this	DET
fumecheng-2860	61	2	method	method	NOUN
fumecheng-2860	61	3	is	be	AUX
fumecheng-2860	61	4	known	know	VERB
fumecheng-2860	61	5	as	as	ADP
fumecheng-2860	61	6	the	the	DET
fumecheng-2860	61	7	method	method	NOUN
fumecheng-2860	61	8	of	of	ADP
fumecheng-2860	61	9	dimensionality	dimensionality	NOUN
fumecheng-2860	61	10	reduction	reduction	NOUN
fumecheng-2860	61	11	[	[	X
fumecheng-2860	61	12	5	5	NUM
fumecheng-2860	61	13	,	,	PUNCT
fumecheng-2860	61	14	6	6	NUM
fumecheng-2860	61	15	,	,	PUNCT
fumecheng-2860	61	16	11	11	NUM
fumecheng-2860	61	17	]	]	PUNCT
fumecheng-2860	61	18	.	.	PUNCT
fumecheng-2860	62	1	it	it	PRON
fumecheng-2860	62	2	replaces	replace	VERB
fumecheng-2860	62	3	a	a	DET
fumecheng-2860	62	4	contact	contact	NOUN
fumecheng-2860	62	5	between	between	ADP
fumecheng-2860	62	6	two	two	NUM
fumecheng-2860	62	7	continuum	continuum	ADJ
fumecheng-2860	62	8	bodies	body	NOUN
fumecheng-2860	62	9	with	with	ADP
fumecheng-2860	62	10	an	an	DET
fumecheng-2860	62	11	ensemble	ensemble	NOUN
fumecheng-2860	62	12	of	of	ADP
fumecheng-2860	62	13	independent	independent	ADJ
fumecheng-2860	62	14	one	one	NUM
fumecheng-2860	62	15	-	-	PUNCT
fumecheng-2860	62	16	spring	spring	NOUN
fumecheng-2860	62	17	problems	problem	NOUN
fumecheng-2860	62	18	and	and	CCONJ
fumecheng-2860	62	19	thus	thus	ADV
fumecheng-2860	62	20	reduces	reduce	VERB
fumecheng-2860	62	21	the	the	DET
fumecheng-2860	62	22	general	general	ADJ
fumecheng-2860	62	23	contact	contact	NOUN
fumecheng-2860	62	24	problem	problem	NOUN
fumecheng-2860	62	25	to	to	ADP
fumecheng-2860	62	26	the	the	DET
fumecheng-2860	62	27	above	above	ADJ
fumecheng-2860	62	28	one	one	NUM
fumecheng-2860	62	29	-	-	PUNCT
fumecheng-2860	62	30	spring	spring	NOUN
fumecheng-2860	62	31	problem	problem	NOUN
fumecheng-2860	62	32	(	(	PUNCT
fumecheng-2860	62	33	see	see	VERB
fumecheng-2860	62	34	fig	fig	NOUN
fumecheng-2860	62	35	.	.	PUNCT
fumecheng-2860	63	1	2	2	NUM
fumecheng-2860	63	2	)	)	PUNCT
fumecheng-2860	63	3	.	.	PUNCT
fumecheng-2860	64	1	298	298	NUM
fumecheng-2860	64	2	a.v	a.v	NOUN
fumecheng-2860	64	3	.	.	PROPN
fumecheng-2860	64	4	dimaki	dimaki	PROPN
fumecheng-2860	64	5	,	,	PUNCT
fumecheng-2860	64	6	r.	r.	PROPN
fumecheng-2860	64	7	pohrt	pohrt	PROPN
fumecheng-2860	64	8	,	,	PUNCT
fumecheng-2860	64	9	v.l	v.l	PROPN
fumecheng-2860	64	10	.	.	PROPN
fumecheng-2860	64	11	popov	popov	PROPN
fumecheng-2860	64	12	fig	fig	PROPN
fumecheng-2860	64	13	.	.	PUNCT
fumecheng-2860	65	1	2	2	NUM
fumecheng-2860	65	2	mapping	mapping	NOUN
fumecheng-2860	65	3	of	of	ADP
fumecheng-2860	65	4	a	a	DET
fumecheng-2860	65	5	three	three	NUM
fumecheng-2860	65	6	-	-	PUNCT
fumecheng-2860	65	7	dimensional	dimensional	ADJ
fumecheng-2860	65	8	contact	contact	NOUN
fumecheng-2860	65	9	into	into	ADP
fumecheng-2860	65	10	one	one	NUM
fumecheng-2860	65	11	-	-	PUNCT
fumecheng-2860	65	12	dimensional	dimensional	ADJ
fumecheng-2860	65	13	one	one	NOUN
fumecheng-2860	65	14	if	if	SCONJ
fumecheng-2860	65	15	the	the	DET
fumecheng-2860	65	16	mdr	mdr	NOUN
fumecheng-2860	65	17	-	-	PUNCT
fumecheng-2860	65	18	procedure	procedure	NOUN
fumecheng-2860	65	19	was	be	AUX
fumecheng-2860	65	20	applicable	applicable	ADJ
fumecheng-2860	65	21	to	to	ADP
fumecheng-2860	65	22	the	the	DET
fumecheng-2860	65	23	bi	bi	ADJ
fumecheng-2860	65	24	-	-	ADJ
fumecheng-2860	65	25	axial	axial	ADJ
fumecheng-2860	65	26	in	in	ADP
fumecheng-2860	65	27	-	-	PUNCT
fumecheng-2860	65	28	plane	plane	NOUN
fumecheng-2860	65	29	loading	loading	NOUN
fumecheng-2860	65	30	,	,	PUNCT
fumecheng-2860	65	31	then	then	ADV
fumecheng-2860	65	32	we	we	PRON
fumecheng-2860	65	33	could	could	AUX
fumecheng-2860	65	34	compute	compute	VERB
fumecheng-2860	65	35	the	the	DET
fumecheng-2860	65	36	energy	energy	NOUN
fumecheng-2860	65	37	dissipation	dissipation	NOUN
fumecheng-2860	65	38	rate	rate	NOUN
fumecheng-2860	65	39	just	just	ADV
fumecheng-2860	65	40	by	by	ADP
fumecheng-2860	65	41	summing	sum	VERB
fumecheng-2860	65	42	eq	eq	ADP
fumecheng-2860	65	43	.	.	PUNCT
fumecheng-2860	66	1	(	(	PUNCT
fumecheng-2860	66	2	2	2	NUM
fumecheng-2860	66	3	)	)	PUNCT
fumecheng-2860	66	4	over	over	ADP
fumecheng-2860	66	5	all	all	DET
fumecheng-2860	66	6	effective	effective	ADJ
fumecheng-2860	66	7	springs	spring	NOUN
fumecheng-2860	66	8	of	of	ADP
fumecheng-2860	66	9	the	the	DET
fumecheng-2860	66	10	mdr	mdr	PROPN
fumecheng-2860	66	11	-	-	NOUN
fumecheng-2860	66	12	model	model	NOUN
fumecheng-2860	66	13	.	.	PUNCT
fumecheng-2860	67	1	let	let	VERB
fumecheng-2860	67	2	us	we	PRON
fumecheng-2860	67	3	assume	assume	VERB
fumecheng-2860	67	4	at	at	ADP
fumecheng-2860	67	5	this	this	DET
fumecheng-2860	67	6	point	point	NOUN
fumecheng-2860	67	7	that	that	SCONJ
fumecheng-2860	67	8	this	this	PRON
fumecheng-2860	67	9	is	be	AUX
fumecheng-2860	67	10	indeed	indeed	ADV
fumecheng-2860	67	11	possible	possible	ADJ
fumecheng-2860	67	12	and	and	CCONJ
fumecheng-2860	67	13	calculate	calculate	VERB
fumecheng-2860	67	14	the	the	DET
fumecheng-2860	67	15	dissipation	dissipation	NOUN
fumecheng-2860	67	16	in	in	ADP
fumecheng-2860	67	17	a	a	DET
fumecheng-2860	67	18	circularly	circularly	ADV
fumecheng-2860	67	19	moving	move	VERB
fumecheng-2860	67	20	and	and	CCONJ
fumecheng-2860	67	21	curved	curved	ADJ
fumecheng-2860	67	22	contact	contact	NOUN
fumecheng-2860	67	23	.	.	PUNCT
fumecheng-2860	68	1	later	later	ADV
fumecheng-2860	68	2	we	we	PRON
fumecheng-2860	68	3	will	will	AUX
fumecheng-2860	68	4	check	check	VERB
fumecheng-2860	68	5	and	and	CCONJ
fumecheng-2860	68	6	discuss	discuss	VERB
fumecheng-2860	68	7	the	the	DET
fumecheng-2860	68	8	accuracy	accuracy	NOUN
fumecheng-2860	68	9	of	of	ADP
fumecheng-2860	68	10	this	this	DET
fumecheng-2860	68	11	procedure	procedure	NOUN
fumecheng-2860	68	12	.	.	PUNCT
fumecheng-2860	69	1	we	we	PRON
fumecheng-2860	69	2	consider	consider	VERB
fumecheng-2860	69	3	the	the	DET
fumecheng-2860	69	4	movement	movement	NOUN
fumecheng-2860	69	5	of	of	ADP
fumecheng-2860	69	6	a	a	DET
fumecheng-2860	69	7	parabolic	parabolic	ADJ
fumecheng-2860	69	8	indenter	indenter	NOUN
fumecheng-2860	69	9	having	have	VERB
fumecheng-2860	69	10	the	the	DET
fumecheng-2860	69	11	shape	shape	NOUN
fumecheng-2860	69	12	z	z	NOUN
fumecheng-2860	69	13	=	=	NOUN
fumecheng-2860	69	14	f(r)=r	f(r)=r	ADJ
fumecheng-2860	69	15	2	2	NUM
fumecheng-2860	69	16	/(2r0	/(2r0	NUM
fumecheng-2860	69	17	)	)	PUNCT
fumecheng-2860	69	18	.	.	PUNCT
fumecheng-2860	70	1	according	accord	VERB
fumecheng-2860	70	2	to	to	ADP
fumecheng-2860	70	3	the	the	DET
fumecheng-2860	70	4	mdr	mdr	PROPN
fumecheng-2860	70	5	-	-	NOUN
fumecheng-2860	70	6	rules	rule	NOUN
fumecheng-2860	70	7	[	[	X
fumecheng-2860	70	8	5	5	NUM
fumecheng-2860	70	9	,	,	PUNCT
fumecheng-2860	70	10	6	6	NUM
fumecheng-2860	70	11	]	]	PUNCT
fumecheng-2860	70	12	,	,	PUNCT
fumecheng-2860	70	13	in	in	ADP
fumecheng-2860	70	14	the	the	DET
fumecheng-2860	70	15	equivalent	equivalent	PROPN
fumecheng-2860	70	16	mdr	mdr	PROPN
fumecheng-2860	70	17	model	model	NOUN
fumecheng-2860	70	18	it	it	PRON
fumecheng-2860	70	19	is	be	AUX
fumecheng-2860	70	20	to	to	PART
fumecheng-2860	70	21	be	be	AUX
fumecheng-2860	70	22	replaced	replace	VERB
fumecheng-2860	70	23	by	by	ADP
fumecheng-2860	70	24	the	the	DET
fumecheng-2860	70	25	plane	plane	NOUN
fumecheng-2860	70	26	profile	profile	NOUN
fumecheng-2860	70	27	2	2	NUM
fumecheng-2860	70	28	2	2	NUM
fumecheng-2860	70	29	2	2	NUM
fumecheng-2860	70	30	00	00	NUM
fumecheng-2860	70	31	(	(	PUNCT
fumecheng-2860	70	32	)	)	PUNCT
fumecheng-2860	70	33	d	d	NOUN
fumecheng-2860	70	34	(	(	PUNCT
fumecheng-2860	70	35	)	)	PUNCT
fumecheng-2860	70	36	x	x	SYM
fumecheng-2860	71	1	f	f	NOUN
fumecheng-2860	71	2	r	r	NOUN
fumecheng-2860	71	3	r	r	NOUN
fumecheng-2860	71	4	x	x	SYM
fumecheng-2860	71	5	g	g	NOUN
fumecheng-2860	71	6	x	x	SYM
fumecheng-2860	71	7	x	x	SYM
fumecheng-2860	71	8	rx	rx	VERB
fumecheng-2860	71	9	r	r	NOUN
fumecheng-2860	71	10			CCONJ
fumecheng-2860	71	11			NUM
fumecheng-2860	71	12			PROPN
fumecheng-2860	71	13			NOUN
fumecheng-2860	71	14			PUNCT
fumecheng-2860	71	15	.	.	PUNCT
fumecheng-2860	72	1	(	(	PUNCT
fumecheng-2860	72	2	4	4	X
fumecheng-2860	72	3	)	)	PUNCT
fumecheng-2860	72	4	this	this	DET
fumecheng-2860	72	5	profile	profile	NOUN
fumecheng-2860	72	6	is	be	AUX
fumecheng-2860	72	7	brought	bring	VERB
fumecheng-2860	72	8	into	into	ADP
fumecheng-2860	72	9	contact	contact	NOUN
fumecheng-2860	72	10	with	with	ADP
fumecheng-2860	72	11	an	an	DET
fumecheng-2860	72	12	elastic	elastic	ADJ
fumecheng-2860	72	13	foundation	foundation	NOUN
fumecheng-2860	72	14	consisting	consist	VERB
fumecheng-2860	72	15	of	of	ADP
fumecheng-2860	72	16	independent	independent	ADJ
fumecheng-2860	72	17	springs	spring	NOUN
fumecheng-2860	72	18	,	,	PUNCT
fumecheng-2860	72	19	each	each	DET
fumecheng-2860	72	20	spring	spring	NOUN
fumecheng-2860	72	21	having	have	VERB
fumecheng-2860	72	22	normal	normal	ADJ
fumecheng-2860	72	23	stiffness	stiffness	NOUN
fumecheng-2860	72	24	δkz	δkz	NOUN
fumecheng-2860	72	25	and	and	CCONJ
fumecheng-2860	72	26	equal	equal	ADJ
fumecheng-2860	72	27	tangential	tangential	ADJ
fumecheng-2860	72	28	stiffnesses	stiffness	NOUN
fumecheng-2860	72	29	δkx	δkx	VERB
fumecheng-2860	72	30	and	and	CCONJ
fumecheng-2860	72	31	δky	δky	NOUN
fumecheng-2860	72	32	for	for	ADP
fumecheng-2860	72	33	the	the	DET
fumecheng-2860	72	34	displacements	displacement	NOUN
fumecheng-2860	72	35	along	along	ADP
fumecheng-2860	72	36	the	the	DET
fumecheng-2860	72	37	x	x	SYM
fumecheng-2860	72	38	-axis	-axis	PROPN
fumecheng-2860	72	39	and	and	CCONJ
fumecheng-2860	72	40	y	y	NOUN
fumecheng-2860	72	41	-axis	-axis	PROPN
fumecheng-2860	72	42	(	(	PUNCT
fumecheng-2860	72	43	not	not	PART
fumecheng-2860	72	44	shown	show	VERB
fumecheng-2860	72	45	in	in	ADP
fumecheng-2860	72	46	fig	fig	NOUN
fumecheng-2860	72	47	.	.	PUNCT
fumecheng-2860	73	1	2	2	NUM
fumecheng-2860	73	2	)	)	PUNCT
fumecheng-2860	73	3	which	which	PRON
fumecheng-2860	73	4	are	be	AUX
fumecheng-2860	73	5	defined	define	VERB
fumecheng-2860	73	6	according	accord	VERB
fumecheng-2860	73	7	to	to	ADP
fumecheng-2860	73	8	the	the	DET
fumecheng-2860	73	9	rules	rule	NOUN
fumecheng-2860	73	10	*	*	PUNCT
fumecheng-2860	74	1	*	*	PUNCT
fumecheng-2860	74	2	,	,	PUNCT
fumecheng-2860	74	3	z	z	PROPN
fumecheng-2860	74	4	x	x	SYM
fumecheng-2860	74	5	yk	yk	NOUN
fumecheng-2860	74	6	e	e	NOUN
fumecheng-2860	74	7	x	x	X
fumecheng-2860	74	8	k	k	PROPN
fumecheng-2860	74	9	k	k	PROPN
fumecheng-2860	74	10	g	g	PROPN
fumecheng-2860	74	11	x	x	PROPN
fumecheng-2860	74	12			PRON
fumecheng-2860	74	13			PUNCT
fumecheng-2860	74	14			X
fumecheng-2860	75	1			NUM
fumecheng-2860	75	2			NOUN
fumecheng-2860	75	3			X
fumecheng-2860	75	4			X
fumecheng-2860	75	5	,	,	PUNCT
fumecheng-2860	75	6	(	(	PUNCT
fumecheng-2860	75	7	5	5	X
fumecheng-2860	75	8	)	)	PUNCT
fumecheng-2860	75	9	where	where	SCONJ
fumecheng-2860	75	10	2	2	NUM
fumecheng-2860	75	11	2	2	NUM
fumecheng-2860	75	12	1	1	NUM
fumecheng-2860	75	13	2	2	NUM
fumecheng-2860	75	14	*	*	SYM
fumecheng-2860	75	15	1	1	NUM
fumecheng-2860	75	16	2	2	NUM
fumecheng-2860	75	17	1	1	NUM
fumecheng-2860	75	18	11	11	NUM
fumecheng-2860	75	19	e	e	NOUN
fumecheng-2860	75	20	ee	ee	ADP
fumecheng-2860	75	21			PROPN
fumecheng-2860	75	22			VERB
fumecheng-2860	75	23			NUM
fumecheng-2860	75	24			PUNCT
fumecheng-2860	75	25	and	and	CCONJ
fumecheng-2860	75	26	1	1	NUM
fumecheng-2860	75	27	2	2	NUM
fumecheng-2860	75	28	*	*	SYM
fumecheng-2860	75	29	1	1	NUM
fumecheng-2860	75	30	2	2	NUM
fumecheng-2860	75	31	(	(	PUNCT
fumecheng-2860	75	32	2	2	NUM
fumecheng-2860	75	33	)	)	PUNCT
fumecheng-2860	75	34	(	(	PUNCT
fumecheng-2860	75	35	2	2	NUM
fumecheng-2860	75	36	)	)	SYM
fumecheng-2860	75	37	1	1	NUM
fumecheng-2860	75	38	4	4	NUM
fumecheng-2860	75	39	4	4	NUM
fumecheng-2860	75	40	g	g	NOUN
fumecheng-2860	75	41	gg	gg	NOUN
fumecheng-2860	75	42			PROPN
fumecheng-2860	75	43			VERB
fumecheng-2860	75	44			NUM
fumecheng-2860	75	45			PUNCT
fumecheng-2860	75	46	,	,	PUNCT
fumecheng-2860	75	47	(	(	PUNCT
fumecheng-2860	75	48	6	6	NUM
fumecheng-2860	75	49	)	)	PUNCT
fumecheng-2860	75	50	with	with	ADP
fumecheng-2860	75	51	e1	e1	PROPN
fumecheng-2860	75	52	and	and	CCONJ
fumecheng-2860	75	53	e2	e2	PROPN
fumecheng-2860	75	54	being	be	AUX
fumecheng-2860	75	55	the	the	DET
fumecheng-2860	75	56	young	young	ADJ
fumecheng-2860	75	57	’s	’s	PART
fumecheng-2860	75	58	moduli	modulus	NOUN
fumecheng-2860	75	59	,	,	PUNCT
fumecheng-2860	75	60	g1	g1	PROPN
fumecheng-2860	75	61	and	and	CCONJ
fumecheng-2860	75	62	g2	g2	PROPN
fumecheng-2860	75	63	the	the	DET
fumecheng-2860	75	64	shear	shear	NOUN
fumecheng-2860	75	65	moduli	modulus	NOUN
fumecheng-2860	75	66	and	and	CCONJ
fumecheng-2860	75	67	ν1	ν1	NOUN
fumecheng-2860	75	68	and	and	CCONJ
fumecheng-2860	75	69	ν2	ν2	NOUN
fumecheng-2860	75	70	the	the	DET
fumecheng-2860	75	71	poisson	poisson	NOUN
fumecheng-2860	75	72	’s	’s	PART
fumecheng-2860	75	73	ratios	ratio	NOUN
fumecheng-2860	75	74	of	of	ADP
fumecheng-2860	75	75	the	the	DET
fumecheng-2860	75	76	contacting	contact	VERB
fumecheng-2860	75	77	bodies	body	NOUN
fumecheng-2860	75	78	.	.	PUNCT
fumecheng-2860	76	1	further	far	ADV
fumecheng-2860	76	2	,	,	PUNCT
fumecheng-2860	76	3	throughout	throughout	ADP
fumecheng-2860	76	4	the	the	DET
fumecheng-2860	76	5	paper	paper	NOUN
fumecheng-2860	76	6	,	,	PUNCT
fumecheng-2860	76	7	we	we	PRON
fumecheng-2860	76	8	assume	assume	VERB
fumecheng-2860	76	9	that	that	SCONJ
fumecheng-2860	76	10	the	the	DET
fumecheng-2860	76	11	contacting	contact	VERB
fumecheng-2860	76	12	materials	material	NOUN
fumecheng-2860	76	13	satisfy	satisfy	VERB
fumecheng-2860	76	14	the	the	DET
fumecheng-2860	76	15	condition	condition	NOUN
fumecheng-2860	76	16	of	of	ADP
fumecheng-2860	76	17	“	"	PUNCT
fumecheng-2860	76	18	elastic	elastic	ADJ
fumecheng-2860	76	19	similarity	similarity	NOUN
fumecheng-2860	76	20	”	"	PUNCT
fumecheng-2860	76	21	1	1	NUM
fumecheng-2860	76	22	2	2	NUM
fumecheng-2860	76	23	1	1	NUM
fumecheng-2860	76	24	2	2	NUM
fumecheng-2860	76	25	1	1	NUM
fumecheng-2860	76	26	2	2	NUM
fumecheng-2860	76	27	1	1	NUM
fumecheng-2860	76	28	2	2	NUM
fumecheng-2860	76	29	g	g	NOUN
fumecheng-2860	76	30	g	g	PROPN
fumecheng-2860	76	31			PROPN
fumecheng-2860	76	32			PROPN
fumecheng-2860	76	33			PROPN
fumecheng-2860	76	34			NOUN
fumecheng-2860	77	1			PROPN
fumecheng-2860	77	2	,	,	PUNCT
fumecheng-2860	77	3	(	(	PUNCT
fumecheng-2860	77	4	7	7	X
fumecheng-2860	77	5	)	)	PUNCT
fumecheng-2860	78	1	which	which	PRON
fumecheng-2860	78	2	guarantees	guarantee	VERB
fumecheng-2860	78	3	the	the	DET
fumecheng-2860	78	4	decoupling	decoupling	NOUN
fumecheng-2860	78	5	of	of	ADP
fumecheng-2860	78	6	normal	normal	ADJ
fumecheng-2860	78	7	and	and	CCONJ
fumecheng-2860	78	8	tangential	tangential	ADJ
fumecheng-2860	78	9	contact	contact	NOUN
fumecheng-2860	78	10	problems	problem	NOUN
fumecheng-2860	78	11	[	[	X
fumecheng-2860	78	12	12	12	NUM
fumecheng-2860	78	13	]	]	PUNCT
fumecheng-2860	78	14	.	.	PUNCT
fumecheng-2860	79	1	if	if	SCONJ
fumecheng-2860	79	2	the	the	DET
fumecheng-2860	79	3	indentation	indentation	NOUN
fumecheng-2860	79	4	depth	depth	NOUN
fumecheng-2860	79	5	is	be	AUX
fumecheng-2860	79	6	d	d	NOUN
fumecheng-2860	79	7	,	,	PUNCT
fumecheng-2860	79	8	then	then	ADV
fumecheng-2860	79	9	the	the	DET
fumecheng-2860	79	10	vertical	vertical	ADJ
fumecheng-2860	79	11	displacement	displacement	NOUN
fumecheng-2860	79	12	of	of	ADP
fumecheng-2860	79	13	an	an	DET
fumecheng-2860	79	14	individual	individual	ADJ
fumecheng-2860	79	15	spring	spring	NOUN
fumecheng-2860	79	16	at	at	ADP
fumecheng-2860	79	17	position	position	NOUN
fumecheng-2860	79	18	x	x	VERB
fumecheng-2860	79	19	is	be	AUX
fumecheng-2860	79	20	given	give	VERB
fumecheng-2860	79	21	by	by	ADP
fumecheng-2860	79	22	,	,	PUNCT
fumecheng-2860	79	23	1	1	NUM
fumecheng-2860	79	24	(	(	PUNCT
fumecheng-2860	79	25	)	)	PUNCT
fumecheng-2860	79	26	(	(	PUNCT
fumecheng-2860	79	27	)	)	PUNCT
fumecheng-2860	79	28	z	z	NOUN
fumecheng-2860	79	29	du	du	NOUN
fumecheng-2860	79	30	x	x	PUNCT
fumecheng-2860	80	1	d	d	X
fumecheng-2860	80	2	g	g	PROPN
fumecheng-2860	80	3	x	x	PROPN
fumecheng-2860	80	4			PROPN
fumecheng-2860	80	5	(	(	PUNCT
fumecheng-2860	80	6	8)	8)	NUM
fumecheng-2860	80	7	and	and	CCONJ
fumecheng-2860	80	8	the	the	DET
fumecheng-2860	80	9	normal	normal	ADJ
fumecheng-2860	80	10	force	force	NOUN
fumecheng-2860	80	11	of	of	ADP
fumecheng-2860	80	12	a	a	DET
fumecheng-2860	80	13	single	single	ADJ
fumecheng-2860	80	14	spring	spring	NOUN
fumecheng-2860	80	15	equals	equal	VERB
fumecheng-2860	80	16	to	to	ADP
fumecheng-2860	80	17	*	*	PUNCT
fumecheng-2860	80	18	(	(	PUNCT
fumecheng-2860	80	19	)	)	PUNCT
fumecheng-2860	80	20	(	(	PUNCT
fumecheng-2860	80	21	(	(	PUNCT
fumecheng-2860	80	22	)	)	PUNCT
fumecheng-2860	80	23	)	)	PUNCT
fumecheng-2860	81	1	(	(	PUNCT
fumecheng-2860	81	2	(	(	PUNCT
fumecheng-2860	81	3	)	)	PUNCT
fumecheng-2860	81	4	)	)	PUNCT
fumecheng-2860	81	5	z	z	NOUN
fumecheng-2860	82	1	zf	zf	PROPN
fumecheng-2860	83	1	x	x	PUNCT
fumecheng-2860	83	2	k	k	PROPN
fumecheng-2860	83	3	d	d	X
fumecheng-2860	83	4	g	g	NOUN
fumecheng-2860	83	5	x	x	X
fumecheng-2860	83	6	e	e	NOUN
fumecheng-2860	83	7	x	x	SYM
fumecheng-2860	83	8	d	d	NOUN
fumecheng-2860	83	9	g	g	NOUN
fumecheng-2860	83	10	x	x	NOUN
fumecheng-2860	83	11			PRON
fumecheng-2860	83	12			PUNCT
fumecheng-2860	83	13			NOUN
fumecheng-2860	83	14			PRON
fumecheng-2860	83	15			PUNCT
fumecheng-2860	83	16			NOUN
fumecheng-2860	83	17	.	.	PUNCT
fumecheng-2860	84	1	(	(	PUNCT
fumecheng-2860	84	2	9	9	X
fumecheng-2860	84	3	)	)	PUNCT
fumecheng-2860	84	4	simulation	simulation	NOUN
fumecheng-2860	84	5	of	of	ADP
fumecheng-2860	84	6	frictional	frictional	ADJ
fumecheng-2860	84	7	dissipation	dissipation	NOUN
fumecheng-2860	84	8	under	under	ADP
fumecheng-2860	84	9	biaxial	biaxial	ADJ
fumecheng-2860	84	10	tangential	tangential	ADJ
fumecheng-2860	84	11	loading	loading	NOUN
fumecheng-2860	84	12	...	...	PUNCT
fumecheng-2860	84	13	299	299	NUM
fumecheng-2860	84	14	the	the	DET
fumecheng-2860	84	15	dissipation	dissipation	NOUN
fumecheng-2860	84	16	power	power	NOUN
fumecheng-2860	84	17	in	in	ADP
fumecheng-2860	84	18	one	one	NUM
fumecheng-2860	84	19	spring	spring	NOUN
fumecheng-2860	84	20	at	at	ADP
fumecheng-2860	84	21	the	the	DET
fumecheng-2860	84	22	position	position	NOUN
fumecheng-2860	84	23	x	x	PUNCT
fumecheng-2860	84	24	is	be	AUX
fumecheng-2860	84	25	given	give	VERB
fumecheng-2860	84	26	by	by	ADP
fumecheng-2860	84	27	eq	eq	PROPN
fumecheng-2860	84	28	.	.	PUNCT
fumecheng-2860	85	1	(	(	PUNCT
fumecheng-2860	85	2	2	2	X
fumecheng-2860	85	3	)	)	PUNCT
fumecheng-2860	85	4	which	which	PRON
fumecheng-2860	85	5	we	we	PRON
fumecheng-2860	85	6	rewrite	rewrite	VERB
fumecheng-2860	85	7	here	here	ADV
fumecheng-2860	85	8	as	as	ADP
fumecheng-2860	85	9	2	2	NUM
fumecheng-2860	85	10	2	2	NUM
fumecheng-2860	85	11	*	*	PUNCT
fumecheng-2860	85	12	*	*	PUNCT
fumecheng-2860	85	13	macro	macro	INTJ
fumecheng-2860	85	14	*	*	PUNCT
fumecheng-2860	85	15	(	(	PUNCT
fumecheng-2860	85	16	(	(	PUNCT
fumecheng-2860	85	17	)	)	PUNCT
fumecheng-2860	85	18	)	)	PUNCT
fumecheng-2860	85	19	1	1	NUM
fumecheng-2860	85	20	(	(	PUNCT
fumecheng-2860	85	21	(	(	PUNCT
fumecheng-2860	85	22	)	)	PUNCT
fumecheng-2860	85	23	)	)	PUNCT
fumecheng-2860	86	1	1z	1z	NOUN
fumecheng-2860	86	2	z	z	NOUN
fumecheng-2860	86	3	x	x	SYM
fumecheng-2860	86	4	f	f	X
fumecheng-2860	86	5	e	e	NOUN
fumecheng-2860	86	6	d	d	X
fumecheng-2860	86	7	g	g	PROPN
fumecheng-2860	86	8	x	x	PROPN
fumecheng-2860	86	9	w	w	PROPN
fumecheng-2860	86	10	f	f	PROPN
fumecheng-2860	86	11	v	v	NUM
fumecheng-2860	86	12	e	e	NOUN
fumecheng-2860	86	13	x	x	PROPN
fumecheng-2860	87	1	d	d	X
fumecheng-2860	87	2	g	g	NOUN
fumecheng-2860	87	3	x	x	SYM
fumecheng-2860	87	4	r	r	NOUN
fumecheng-2860	87	5	k	k	PROPN
fumecheng-2860	87	6	rg	rg	PROPN
fumecheng-2860	87	7			NOUN
fumecheng-2860	87	8			PROPN
fumecheng-2860	87	9			NOUN
fumecheng-2860	87	10			PROPN
fumecheng-2860	87	11			NOUN
fumecheng-2860	87	12			NOUN
fumecheng-2860	88	1			NUM
fumecheng-2860	88	2			PROPN
fumecheng-2860	88	3			NOUN
fumecheng-2860	88	4			NOUN
fumecheng-2860	88	5			NOUN
fumecheng-2860	88	6			NOUN
fumecheng-2860	88	7			PUNCT
fumecheng-2860	88	8			VERB
fumecheng-2860	88	9			PROPN
fumecheng-2860	88	10			PROPN
fumecheng-2860	88	11			PROPN
fumecheng-2860	88	12			PROPN
fumecheng-2860	88	13			PROPN
fumecheng-2860	88	14			PUNCT
fumecheng-2860	89	1			ADJ
fumecheng-2860	89	2			NOUN
fumecheng-2860	89	3			NOUN
fumecheng-2860	89	4	.	.	PUNCT
fumecheng-2860	90	1	(	(	PUNCT
fumecheng-2860	90	2	10	10	NUM
fumecheng-2860	90	3	)	)	PUNCT
fumecheng-2860	90	4	let	let	VERB
fumecheng-2860	90	5	us	we	PRON
fumecheng-2860	90	6	assume	assume	VERB
fumecheng-2860	90	7	that	that	SCONJ
fumecheng-2860	90	8	we	we	PRON
fumecheng-2860	90	9	have	have	VERB
fumecheng-2860	90	10	a	a	DET
fumecheng-2860	90	11	situation	situation	NOUN
fumecheng-2860	90	12	with	with	ADP
fumecheng-2860	90	13	partial	partial	ADJ
fumecheng-2860	90	14	slip	slip	NOUN
fumecheng-2860	90	15	.	.	PUNCT
fumecheng-2860	91	1	radius	radius	NOUN
fumecheng-2860	91	2	c	c	PROPN
fumecheng-2860	91	3	of	of	ADP
fumecheng-2860	91	4	the	the	DET
fumecheng-2860	91	5	stick	stick	NOUN
fumecheng-2860	91	6	region	region	NOUN
fumecheng-2860	91	7	is	be	AUX
fumecheng-2860	91	8	determined	determine	VERB
fumecheng-2860	91	9	by	by	ADP
fumecheng-2860	91	10	the	the	DET
fumecheng-2860	91	11	condition	condition	NOUN
fumecheng-2860	91	12	*	*	PUNCT
fumecheng-2860	92	1	*	*	PUNCT
fumecheng-2860	92	2	1	1	NUM
fumecheng-2860	92	3	(	(	PUNCT
fumecheng-2860	92	4	)	)	PUNCT
fumecheng-2860	92	5	g	g	PROPN
fumecheng-2860	93	1	d	d	X
fumecheng-2860	93	2	g	g	NOUN
fumecheng-2860	93	3	c	c	NOUN
fumecheng-2860	93	4	r	r	NOUN
fumecheng-2860	93	5	e	e	PROPN
fumecheng-2860	93	6			NOUN
fumecheng-2860	93	7			NUM
fumecheng-2860	93	8			NOUN
fumecheng-2860	93	9	(	(	PUNCT
fumecheng-2860	93	10	11	11	NUM
fumecheng-2860	93	11	)	)	PUNCT
fumecheng-2860	93	12	whence	whence	NOUN
fumecheng-2860	93	13	2	2	NUM
fumecheng-2860	94	1	*	*	PUNCT
fumecheng-2860	94	2	*	*	PUNCT
fumecheng-2860	94	3	0	0	NUM
fumecheng-2860	94	4	1c	1c	NOUN
fumecheng-2860	95	1	g	g	NOUN
fumecheng-2860	95	2	d	d	NOUN
fumecheng-2860	95	3	r	r	NOUN
fumecheng-2860	95	4	r	r	NOUN
fumecheng-2860	95	5	e	e	NOUN
fumecheng-2860	95	6			PROPN
fumecheng-2860	95	7			NOUN
fumecheng-2860	95	8			NOUN
fumecheng-2860	95	9	.	.	PUNCT
fumecheng-2860	96	1	(	(	PUNCT
fumecheng-2860	96	2	12	12	NUM
fumecheng-2860	96	3	)	)	PUNCT
fumecheng-2860	96	4	the	the	DET
fumecheng-2860	96	5	whole	whole	ADJ
fumecheng-2860	96	6	dissipation	dissipation	NOUN
fumecheng-2860	96	7	power	power	NOUN
fumecheng-2860	96	8	is	be	AUX
fumecheng-2860	96	9	thus	thus	ADV
fumecheng-2860	96	10	equal	equal	ADJ
fumecheng-2860	96	11	to	to	ADP
fumecheng-2860	96	12	2	2	NUM
fumecheng-2860	96	13	*	*	SYM
fumecheng-2860	96	14	2	2	NUM
fumecheng-2860	96	15	2	2	NUM
fumecheng-2860	96	16	2	2	NUM
fumecheng-2860	96	17	2macro	2macro	NUM
fumecheng-2860	96	18	2	2	NUM
fumecheng-2860	96	19	2	2	NUM
fumecheng-2860	96	20	0	0	NUM
fumecheng-2860	96	21	2	2	NUM
fumecheng-2860	96	22	(	(	PUNCT
fumecheng-2860	96	23	)	)	PUNCT
fumecheng-2860	96	24	1	1	NUM
fumecheng-2860	96	25	d	d	NOUN
fumecheng-2860	96	26	a	a	DET
fumecheng-2860	96	27	c	c	NOUN
fumecheng-2860	96	28	v	v	ADP
fumecheng-2860	96	29	e	e	NOUN
fumecheng-2860	96	30	a	a	X
fumecheng-2860	96	31	x	x	X
fumecheng-2860	96	32	w	w	ADP
fumecheng-2860	96	33	a	a	PRON
fumecheng-2860	96	34	x	x	X
fumecheng-2860	96	35	x	x	SYM
fumecheng-2860	96	36	r	r	NOUN
fumecheng-2860	96	37	a	a	DET
fumecheng-2860	96	38	c	c	NOUN
fumecheng-2860	96	39			NOUN
fumecheng-2860	96	40			PROPN
fumecheng-2860	96	41			PROPN
fumecheng-2860	96	42			NUM
fumecheng-2860	96	43			PROPN
fumecheng-2860	96	44			PROPN
fumecheng-2860	96	45			PROPN
fumecheng-2860	96	46			NOUN
fumecheng-2860	96	47			NOUN
fumecheng-2860	96	48			PUNCT
fumecheng-2860	96	49	,	,	PUNCT
fumecheng-2860	96	50	(	(	PUNCT
fumecheng-2860	96	51	13	13	NUM
fumecheng-2860	96	52	)	)	PUNCT
fumecheng-2860	96	53	where	where	SCONJ
fumecheng-2860	96	54	0a	0a	PROPN
fumecheng-2860	96	55	r	r	NOUN
fumecheng-2860	96	56	d	d	NOUN
fumecheng-2860	96	57	is	be	AUX
fumecheng-2860	96	58	the	the	DET
fumecheng-2860	96	59	contact	contact	NOUN
fumecheng-2860	96	60	radius	radius	NOUN
fumecheng-2860	96	61	.	.	PUNCT
fumecheng-2860	97	1	evaluation	evaluation	NOUN
fumecheng-2860	97	2	of	of	ADP
fumecheng-2860	97	3	the	the	DET
fumecheng-2860	97	4	integral	integral	ADJ
fumecheng-2860	97	5	yields	yield	NOUN
fumecheng-2860	97	6	macro	macro	NOUN
fumecheng-2860	97	7	3	3	NUM
fumecheng-2860	97	8	(	(	PUNCT
fumecheng-2860	97	9	)	)	PUNCT
fumecheng-2860	97	10	2	2	NUM
fumecheng-2860	97	11	zw	zw	PROPN
fumecheng-2860	97	12	v	v	ADP
fumecheng-2860	97	13	f	f	PROPN
fumecheng-2860	97	14	c	c	NOUN
fumecheng-2860	97	15			NOUN
fumecheng-2860	97	16			PROPN
fumecheng-2860	97	17	,	,	PUNCT
fumecheng-2860	97	18	(	(	PUNCT
fumecheng-2860	97	19	14	14	NUM
fumecheng-2860	97	20	)	)	PUNCT
fumecheng-2860	97	21	where	where	SCONJ
fumecheng-2860	97	22	21	21	NUM
fumecheng-2860	97	23	2	2	NUM
fumecheng-2860	97	24	2	2	NUM
fumecheng-2860	97	25	2	2	NUM
fumecheng-2860	97	26	1	1	NUM
fumecheng-2860	97	27	(	(	PUNCT
fumecheng-2860	97	28	)	)	PUNCT
fumecheng-2860	97	29	(	(	PUNCT
fumecheng-2860	97	30	1	1	X
fumecheng-2860	97	31	)	)	SYM
fumecheng-2860	97	32	1	1	NUM
fumecheng-2860	98	1	d	d	SYM
fumecheng-2860	98	2	1	1	NUM
fumecheng-2860	98	3	c	c	NOUN
fumecheng-2860	98	4	c	c	NOUN
fumecheng-2860	98	5	c	c	NOUN
fumecheng-2860	98	6			NOUN
fumecheng-2860	98	7			VERB
fumecheng-2860	98	8			VERB
fumecheng-2860	98	9			NOUN
fumecheng-2860	98	10			ADJ
fumecheng-2860	98	11			PROPN
fumecheng-2860	98	12			PROPN
fumecheng-2860	98	13			PROPN
fumecheng-2860	98	14			PROPN
fumecheng-2860	98	15			PROPN
fumecheng-2860	98	16			NOUN
fumecheng-2860	98	17			NOUN
fumecheng-2860	98	18			PUNCT
fumecheng-2860	98	19	(	(	PUNCT
fumecheng-2860	98	20	15	15	NUM
fumecheng-2860	98	21	)	)	PUNCT
fumecheng-2860	98	22	with	with	ADP
fumecheng-2860	98	23	c	c	PROPN
fumecheng-2860	98	24	c	c	PROPN
fumecheng-2860	98	25	/	/	SYM
fumecheng-2860	98	26	a	a	NOUN
fumecheng-2860	98	27	.	.	PUNCT
fumecheng-2860	99	1	function	function	NOUN
fumecheng-2860	99	2	(	(	PUNCT
fumecheng-2860	99	3	)	)	PUNCT
fumecheng-2860	99	4	c	c	ADV
fumecheng-2860	99	5	is	be	AUX
fumecheng-2860	99	6	shown	show	VERB
fumecheng-2860	99	7	in	in	ADP
fumecheng-2860	99	8	fig	fig	NOUN
fumecheng-2860	99	9	.	.	PUNCT
fumecheng-2860	100	1	3	3	X
fumecheng-2860	100	2	.	.	X
fumecheng-2860	100	3	from	from	ADP
fumecheng-2860	100	4	(	(	PUNCT
fumecheng-2860	100	5	14	14	NUM
fumecheng-2860	100	6	)	)	PUNCT
fumecheng-2860	100	7	we	we	PRON
fumecheng-2860	100	8	see	see	VERB
fumecheng-2860	100	9	that	that	SCONJ
fumecheng-2860	100	10	the	the	DET
fumecheng-2860	100	11	energy	energy	NOUN
fumecheng-2860	100	12	dissipation	dissipation	NOUN
fumecheng-2860	100	13	power	power	NOUN
fumecheng-2860	100	14	is	be	AUX
fumecheng-2860	100	15	given	give	VERB
fumecheng-2860	100	16	by	by	ADP
fumecheng-2860	100	17	the	the	DET
fumecheng-2860	100	18	formally	formally	ADV
fumecheng-2860	100	19	calculated	calculate	VERB
fumecheng-2860	100	20	"	"	PUNCT
fumecheng-2860	100	21	nominal	nominal	ADJ
fumecheng-2860	100	22	power	power	NOUN
fumecheng-2860	100	23	"	"	PUNCT
fumecheng-2860	100	24	vmacroμfz	vmacroμfz	VERB
fumecheng-2860	100	25	multiplied	multiply	VERB
fumecheng-2860	100	26	with	with	ADP
fumecheng-2860	100	27	function	function	NOUN
fumecheng-2860	100	28	3	3	NUM
fumecheng-2860	100	29	2	2	NUM
fumecheng-2860	100	30	(	(	PUNCT
fumecheng-2860	100	31	)	)	PUNCT
fumecheng-2860	100	32	c	c	NOUN
fumecheng-2860	100	33	,	,	PUNCT
fumecheng-2860	100	34	which	which	PRON
fumecheng-2860	100	35	only	only	ADV
fumecheng-2860	100	36	depends	depend	VERB
fumecheng-2860	100	37	on	on	ADP
fumecheng-2860	100	38	the	the	DET
fumecheng-2860	100	39	reduced	reduce	VERB
fumecheng-2860	100	40	radius	radius	NOUN
fumecheng-2860	100	41	of	of	ADP
fumecheng-2860	100	42	the	the	DET
fumecheng-2860	100	43	stick	stick	PROPN
fumecheng-2860	100	44	area	area	NOUN
fumecheng-2860	100	45	.	.	PUNCT
fumecheng-2860	101	1	fig	fig	NOUN
fumecheng-2860	101	2	.	.	PUNCT
fumecheng-2860	102	1	3	3	NUM
fumecheng-2860	102	2	dependence	dependence	NOUN
fumecheng-2860	102	3			NOUN
fumecheng-2860	102	4	c	c	NOUN
fumecheng-2860	102	5	300	300	NUM
fumecheng-2860	102	6	a.v	a.v	NOUN
fumecheng-2860	102	7	.	.	PROPN
fumecheng-2860	102	8	dimaki	dimaki	PROPN
fumecheng-2860	102	9	,	,	PUNCT
fumecheng-2860	102	10	r.	r.	PROPN
fumecheng-2860	102	11	pohrt	pohrt	PROPN
fumecheng-2860	102	12	,	,	PUNCT
fumecheng-2860	102	13	v.l	v.l	PROPN
fumecheng-2860	102	14	.	.	PROPN
fumecheng-2860	102	15	popov	popov	PROPN
fumecheng-2860	102	16	4	4	NUM
fumecheng-2860	102	17	.	.	PUNCT
fumecheng-2860	102	18	calculation	calculation	NOUN
fumecheng-2860	102	19	of	of	ADP
fumecheng-2860	102	20	stresses	stress	NOUN
fumecheng-2860	102	21	in	in	ADP
fumecheng-2860	102	22	the	the	DET
fumecheng-2860	102	23	framework	framework	NOUN
fumecheng-2860	102	24	of	of	ADP
fumecheng-2860	102	25	mdr	mdr	PROPN
fumecheng-2860	102	26	the	the	PRON
fumecheng-2860	102	27	above	above	PROPN
fumecheng-2860	102	28	mdr	mdr	PROPN
fumecheng-2860	102	29	-	-	PUNCT
fumecheng-2860	102	30	solution	solution	NOUN
fumecheng-2860	102	31	is	be	AUX
fumecheng-2860	102	32	based	base	VERB
fumecheng-2860	102	33	on	on	ADP
fumecheng-2860	102	34	the	the	DET
fumecheng-2860	102	35	coulomb	coulomb	NOUN
fumecheng-2860	102	36	criterion	criterion	NOUN
fumecheng-2860	102	37	for	for	ADP
fumecheng-2860	102	38	sticking	stick	VERB
fumecheng-2860	102	39	and	and	CCONJ
fumecheng-2860	102	40	sliding	slide	VERB
fumecheng-2860	102	41	for	for	ADP
fumecheng-2860	102	42	the	the	DET
fumecheng-2860	102	43	springs	spring	NOUN
fumecheng-2860	102	44	of	of	ADP
fumecheng-2860	102	45	the	the	DET
fumecheng-2860	102	46	effective	effective	ADJ
fumecheng-2860	102	47	one	one	NUM
fumecheng-2860	102	48	-	-	PUNCT
fumecheng-2860	102	49	dimensional	dimensional	ADJ
fumecheng-2860	102	50	elastic	elastic	ADJ
fumecheng-2860	102	51	foundation	foundation	NOUN
fumecheng-2860	102	52	.	.	PUNCT
fumecheng-2860	103	1	this	this	DET
fumecheng-2860	103	2	mdr	mdr	PROPN
fumecheng-2860	103	3	model	model	NOUN
fumecheng-2860	103	4	gives	give	VERB
fumecheng-2860	103	5	the	the	DET
fumecheng-2860	103	6	correct	correct	ADJ
fumecheng-2860	103	7	solution	solution	NOUN
fumecheng-2860	103	8	to	to	ADP
fumecheng-2860	103	9	the	the	DET
fumecheng-2860	103	10	three	three	NUM
fumecheng-2860	103	11	-	-	PUNCT
fumecheng-2860	103	12	dimensional	dimensional	ADJ
fumecheng-2860	103	13	problem	problem	NOUN
fumecheng-2860	103	14	only	only	ADV
fumecheng-2860	103	15	if	if	SCONJ
fumecheng-2860	103	16	the	the	DET
fumecheng-2860	103	17	conditions	condition	NOUN
fumecheng-2860	103	18	for	for	ADP
fumecheng-2860	103	19	sticking	stick	VERB
fumecheng-2860	103	20	and	and	CCONJ
fumecheng-2860	103	21	sliding	sliding	NOUN
fumecheng-2860	103	22	are	be	AUX
fumecheng-2860	103	23	fulfilled	fulfil	VERB
fumecheng-2860	103	24	also	also	ADV
fumecheng-2860	103	25	for	for	ADP
fumecheng-2860	103	26	in	in	ADP
fumecheng-2860	103	27	-	-	PUNCT
fumecheng-2860	103	28	plane	plane	NOUN
fumecheng-2860	103	29	stresses	stress	NOUN
fumecheng-2860	103	30	in	in	ADP
fumecheng-2860	103	31	relation	relation	NOUN
fumecheng-2860	103	32	with	with	ADP
fumecheng-2860	103	33	normal	normal	ADJ
fumecheng-2860	103	34	stresses	stress	NOUN
fumecheng-2860	103	35	in	in	ADP
fumecheng-2860	103	36	the	the	DET
fumecheng-2860	103	37	initial	initial	ADJ
fumecheng-2860	103	38	(	(	PUNCT
fumecheng-2860	103	39	truly	truly	ADV
fumecheng-2860	103	40	three	three	NUM
fumecheng-2860	103	41	-	-	PUNCT
fumecheng-2860	103	42	dimensional	dimensional	ADJ
fumecheng-2860	103	43	)	)	PUNCT
fumecheng-2860	103	44	problem	problem	NOUN
fumecheng-2860	103	45	.	.	PUNCT
fumecheng-2860	104	1	we	we	PRON
fumecheng-2860	104	2	thus	thus	ADV
fumecheng-2860	104	3	begin	begin	VERB
fumecheng-2860	104	4	our	our	PRON
fumecheng-2860	104	5	analysis	analysis	NOUN
fumecheng-2860	104	6	by	by	ADP
fumecheng-2860	104	7	checking	check	VERB
fumecheng-2860	104	8	the	the	DET
fumecheng-2860	104	9	fulfillment	fulfillment	NOUN
fumecheng-2860	104	10	of	of	ADP
fumecheng-2860	104	11	the	the	DET
fumecheng-2860	104	12	sticking	stick	VERB
fumecheng-2860	104	13	conditions	condition	NOUN
fumecheng-2860	104	14	and	and	CCONJ
fumecheng-2860	104	15	go	go	VERB
fumecheng-2860	104	16	later	later	ADV
fumecheng-2860	104	17	to	to	ADP
fumecheng-2860	104	18	an	an	DET
fumecheng-2860	104	19	additional	additional	ADJ
fumecheng-2860	104	20	validation	validation	NOUN
fumecheng-2860	104	21	by	by	ADP
fumecheng-2860	104	22	comparison	comparison	NOUN
fumecheng-2860	104	23	with	with	ADP
fumecheng-2860	104	24	results	result	NOUN
fumecheng-2860	104	25	of	of	ADP
fumecheng-2860	104	26	direct	direct	ADJ
fumecheng-2860	104	27	3d	3d	PROPN
fumecheng-2860	104	28	simulation	simulation	NOUN
fumecheng-2860	104	29	given	give	VERB
fumecheng-2860	104	30	in	in	ADP
fumecheng-2860	104	31	[	[	X
fumecheng-2860	104	32	10	10	NUM
fumecheng-2860	104	33	]	]	PUNCT
fumecheng-2860	104	34	.	.	PUNCT
fumecheng-2860	105	1	according	accord	VERB
fumecheng-2860	105	2	to	to	ADP
fumecheng-2860	105	3	the	the	DET
fumecheng-2860	105	4	mdr	mdr	PROPN
fumecheng-2860	105	5	rules	rule	NOUN
fumecheng-2860	105	6	,	,	PUNCT
fumecheng-2860	105	7	the	the	DET
fumecheng-2860	105	8	distribution	distribution	NOUN
fumecheng-2860	105	9	of	of	ADP
fumecheng-2860	105	10	normal	normal	ADJ
fumecheng-2860	105	11	pressure	pressure	NOUN
fumecheng-2860	105	12	p	p	NOUN
fumecheng-2860	105	13	in	in	ADP
fumecheng-2860	105	14	the	the	DET
fumecheng-2860	105	15	threedimensional	threedimensional	ADJ
fumecheng-2860	105	16	problem	problem	NOUN
fumecheng-2860	105	17	may	may	AUX
fumecheng-2860	105	18	be	be	AUX
fumecheng-2860	105	19	calculated	calculate	VERB
fumecheng-2860	105	20	using	use	VERB
fumecheng-2860	105	21	the	the	DET
fumecheng-2860	105	22	following	follow	VERB
fumecheng-2860	105	23	integral	integral	ADJ
fumecheng-2860	105	24	transformation	transformation	NOUN
fumecheng-2860	106	1	[	[	X
fumecheng-2860	106	2	11	11	NUM
fumecheng-2860	106	3	]	]	SYM
fumecheng-2860	106	4	:	:	PUNCT
fumecheng-2860	106	5	2	2	NUM
fumecheng-2860	106	6	2	2	NUM
fumecheng-2860	106	7	(	(	PUNCT
fumecheng-2860	106	8	)	)	PUNCT
fumecheng-2860	106	9	1	1	NUM
fumecheng-2860	106	10	(	(	PUNCT
fumecheng-2860	106	11	)	)	PUNCT
fumecheng-2860	106	12	dz	dz	PROPN
fumecheng-2860	106	13	r	r	NOUN
fumecheng-2860	106	14	q	q	NOUN
fumecheng-2860	106	15	x	x	X
fumecheng-2860	106	16	p	p	X
fumecheng-2860	106	17	r	r	NOUN
fumecheng-2860	106	18	x	x	PUNCT
fumecheng-2860	106	19	x	x	SYM
fumecheng-2860	106	20	r	r	NOUN
fumecheng-2860	106	21			VERB
fumecheng-2860	106	22			CCONJ
fumecheng-2860	106	23			NUM
fumecheng-2860	106	24			PROPN
fumecheng-2860	106	25			ADJ
fumecheng-2860	106	26			NOUN
fumecheng-2860	106	27			PUNCT
fumecheng-2860	106	28	,	,	PUNCT
fumecheng-2860	106	29	(	(	PUNCT
fumecheng-2860	106	30	16	16	NUM
fumecheng-2860	106	31	)	)	PUNCT
fumecheng-2860	106	32	where	where	SCONJ
fumecheng-2860	106	33	qz(x)=δfz(x)/δx	qz(x)=δfz(x)/δx	PROPN
fumecheng-2860	106	34	is	be	AUX
fumecheng-2860	106	35	a	a	DET
fumecheng-2860	106	36	linear	linear	ADJ
fumecheng-2860	106	37	density	density	NOUN
fumecheng-2860	106	38	of	of	ADP
fumecheng-2860	106	39	the	the	DET
fumecheng-2860	106	40	normal	normal	ADJ
fumecheng-2860	106	41	force	force	NOUN
fumecheng-2860	106	42	.	.	PUNCT
fumecheng-2860	107	1	a	a	DET
fumecheng-2860	107	2	similar	similar	ADJ
fumecheng-2860	107	3	transformation	transformation	NOUN
fumecheng-2860	107	4	is	be	AUX
fumecheng-2860	107	5	valid	valid	ADJ
fumecheng-2860	107	6	for	for	ADP
fumecheng-2860	107	7	the	the	DET
fumecheng-2860	107	8	tangential	tangential	ADJ
fumecheng-2860	107	9	stress	stress	NOUN
fumecheng-2860	107	10	:	:	PUNCT
fumecheng-2860	107	11	2	2	NUM
fumecheng-2860	107	12	2	2	NUM
fumecheng-2860	107	13	(	(	PUNCT
fumecheng-2860	107	14	)	)	PUNCT
fumecheng-2860	107	15	d1	d1	PROPN
fumecheng-2860	107	16	(	(	PUNCT
fumecheng-2860	107	17	)	)	PUNCT
fumecheng-2860	107	18	x	x	PUNCT
fumecheng-2860	108	1	x	x	PUNCT
fumecheng-2860	108	2	r	r	NOUN
fumecheng-2860	108	3	q	q	NOUN
fumecheng-2860	108	4	x	x	X
fumecheng-2860	108	5	x	x	PUNCT
fumecheng-2860	108	6	r	r	NOUN
fumecheng-2860	108	7	x	x	SYM
fumecheng-2860	108	8	r	r	NOUN
fumecheng-2860	108	9			VERB
fumecheng-2860	108	10			CCONJ
fumecheng-2860	108	11			PROPN
fumecheng-2860	108	12			PROPN
fumecheng-2860	108	13			PROPN
fumecheng-2860	108	14			PROPN
fumecheng-2860	108	15			NOUN
fumecheng-2860	108	16			PUNCT
fumecheng-2860	108	17	,	,	PUNCT
fumecheng-2860	108	18	(	(	PUNCT
fumecheng-2860	108	19	17	17	NUM
fumecheng-2860	108	20	)	)	PUNCT
fumecheng-2860	108	21	where	where	SCONJ
fumecheng-2860	108	22	qx(x)=δfx(x)/δx	qx(x)=δfx(x)/δx	PROPN
fumecheng-2860	108	23	is	be	AUX
fumecheng-2860	108	24	a	a	DET
fumecheng-2860	108	25	linear	linear	ADJ
fumecheng-2860	108	26	density	density	NOUN
fumecheng-2860	108	27	of	of	ADP
fumecheng-2860	108	28	the	the	DET
fumecheng-2860	108	29	tangential	tangential	ADJ
fumecheng-2860	108	30	reaction	reaction	NOUN
fumecheng-2860	108	31	force	force	NOUN
fumecheng-2860	108	32	,	,	PUNCT
fumecheng-2860	108	33	respectively	respectively	ADV
fumecheng-2860	108	34	.	.	PUNCT
fumecheng-2860	109	1	the	the	DET
fumecheng-2860	109	2	proof	proof	NOUN
fumecheng-2860	109	3	for	for	ADP
fumecheng-2860	109	4	these	these	DET
fumecheng-2860	109	5	rules	rule	NOUN
fumecheng-2860	109	6	can	can	AUX
fumecheng-2860	109	7	be	be	AUX
fumecheng-2860	109	8	found	find	VERB
fumecheng-2860	109	9	in	in	ADP
fumecheng-2860	109	10	appendix	appendix	ADJ
fumecheng-2860	109	11	d	d	PROPN
fumecheng-2860	109	12	of	of	ADP
fumecheng-2860	109	13	ref	ref	NOUN
fumecheng-2860	109	14	.	.	PUNCT
fumecheng-2860	110	1	[	[	X
fumecheng-2860	110	2	5	5	NUM
fumecheng-2860	110	3	]	]	PUNCT
fumecheng-2860	110	4	.	.	PUNCT
fumecheng-2860	111	1	this	this	DET
fumecheng-2860	111	2	proof	proof	NOUN
fumecheng-2860	111	3	can	can	AUX
fumecheng-2860	111	4	be	be	AUX
fumecheng-2860	111	5	easily	easily	ADV
fumecheng-2860	111	6	generalized	generalize	VERB
fumecheng-2860	111	7	to	to	ADP
fumecheng-2860	111	8	an	an	DET
fumecheng-2860	111	9	arbitrary	arbitrary	ADJ
fumecheng-2860	111	10	two	two	NUM
fumecheng-2860	111	11	in	in	ADP
fumecheng-2860	111	12	-	-	PUNCT
fumecheng-2860	111	13	plane	plane	NOUN
fumecheng-2860	111	14	dimensions	dimension	NOUN
fumecheng-2860	111	15	and	and	CCONJ
fumecheng-2860	111	16	shows	show	VERB
fumecheng-2860	111	17	that	that	SCONJ
fumecheng-2860	111	18	the	the	DET
fumecheng-2860	111	19	transformation	transformation	NOUN
fumecheng-2860	111	20	(	(	PUNCT
fumecheng-2860	111	21	17	17	NUM
fumecheng-2860	111	22	)	)	PUNCT
fumecheng-2860	111	23	can	can	AUX
fumecheng-2860	111	24	be	be	AUX
fumecheng-2860	111	25	applied	apply	VERB
fumecheng-2860	111	26	separately	separately	ADV
fumecheng-2860	111	27	to	to	ADP
fumecheng-2860	111	28	each	each	DET
fumecheng-2860	111	29	component	component	NOUN
fumecheng-2860	111	30	of	of	ADP
fumecheng-2860	111	31	tangential	tangential	ADJ
fumecheng-2860	111	32	stress	stress	NOUN
fumecheng-2860	111	33	,	,	PUNCT
fumecheng-2860	111	34	so	so	SCONJ
fumecheng-2860	111	35	we	we	PRON
fumecheng-2860	111	36	can	can	AUX
fumecheng-2860	111	37	obtain	obtain	VERB
fumecheng-2860	111	38	tangential	tangential	ADJ
fumecheng-2860	111	39	stresses	stress	NOUN
fumecheng-2860	111	40	in	in	ADP
fumecheng-2860	111	41	y	y	NOUN
fumecheng-2860	111	42	-	-	PUNCT
fumecheng-2860	111	43	direction	direction	NOUN
fumecheng-2860	111	44	similar	similar	ADJ
fumecheng-2860	111	45	to	to	ADP
fumecheng-2860	111	46	eq	eq	PROPN
fumecheng-2860	111	47	.	.	PUNCT
fumecheng-2860	112	1	(	(	PUNCT
fumecheng-2860	112	2	17	17	NUM
fumecheng-2860	112	3	):	):	SYM
fumecheng-2860	112	4	2	2	NUM
fumecheng-2860	112	5	2	2	NUM
fumecheng-2860	112	6	(	(	PUNCT
fumecheng-2860	112	7	)	)	PUNCT
fumecheng-2860	112	8	d1	d1	PROPN
fumecheng-2860	112	9	(	(	PUNCT
fumecheng-2860	112	10	)	)	PUNCT
fumecheng-2860	113	1	y	y	PROPN
fumecheng-2860	113	2	y	y	PROPN
fumecheng-2860	113	3	r	r	NOUN
fumecheng-2860	113	4	q	q	NOUN
fumecheng-2860	114	1	x	x	X
fumecheng-2860	114	2	x	x	PUNCT
fumecheng-2860	114	3	r	r	NOUN
fumecheng-2860	114	4	x	x	SYM
fumecheng-2860	114	5	r	r	NOUN
fumecheng-2860	114	6			VERB
fumecheng-2860	114	7			CCONJ
fumecheng-2860	114	8			PROPN
fumecheng-2860	114	9			PROPN
fumecheng-2860	114	10			PROPN
fumecheng-2860	114	11			PROPN
fumecheng-2860	114	12			NOUN
fumecheng-2860	114	13			PUNCT
fumecheng-2860	114	14	.	.	PUNCT
fumecheng-2860	115	1	(	(	PUNCT
fumecheng-2860	115	2	18	18	NUM
fumecheng-2860	115	3	)	)	PUNCT
fumecheng-2860	115	4	thus	thus	ADV
fumecheng-2860	115	5	,	,	PUNCT
fumecheng-2860	115	6	for	for	ADP
fumecheng-2860	115	7	calculating	calculate	VERB
fumecheng-2860	115	8	the	the	DET
fumecheng-2860	115	9	stress	stress	NOUN
fumecheng-2860	115	10	component	component	NOUN
fumecheng-2860	115	11	we	we	PRON
fumecheng-2860	115	12	have	have	VERB
fumecheng-2860	115	13	to	to	PART
fumecheng-2860	115	14	determine	determine	VERB
fumecheng-2860	115	15	first	first	ADV
fumecheng-2860	115	16	the	the	DET
fumecheng-2860	115	17	linear	linear	ADJ
fumecheng-2860	115	18	force	force	NOUN
fumecheng-2860	115	19	densities	density	NOUN
fumecheng-2860	115	20	qx(x)=δfx(x)/δx	qx(x)=δfx(x)/δx	PROPN
fumecheng-2860	115	21	and	and	CCONJ
fumecheng-2860	115	22	qy(x)=δfy(x)/δx	qy(x)=δfy(x)/δx	PROPN
fumecheng-2860	115	23	.	.	PUNCT
fumecheng-2860	116	1	let	let	VERB
fumecheng-2860	116	2	us	we	PRON
fumecheng-2860	116	3	denote	denote	VERB
fumecheng-2860	116	4	the	the	DET
fumecheng-2860	116	5	coordinates	coordinate	NOUN
fumecheng-2860	116	6	of	of	ADP
fumecheng-2860	116	7	a	a	DET
fumecheng-2860	116	8	spring	spring	NOUN
fumecheng-2860	116	9	tip	tip	NOUN
fumecheng-2860	116	10	as	as	ADP
fumecheng-2860	116	11	(	(	PUNCT
fumecheng-2860	116	12	ux	ux	PROPN
fumecheng-2860	116	13	,	,	PUNCT
fumecheng-2860	116	14	tip	tip	NOUN
fumecheng-2860	116	15	,	,	PUNCT
fumecheng-2860	116	16	uy	uy	NOUN
fumecheng-2860	116	17	,	,	PUNCT
fumecheng-2860	116	18	tip	tip	NOUN
fumecheng-2860	116	19	)	)	PUNCT
fumecheng-2860	116	20	and	and	CCONJ
fumecheng-2860	116	21	the	the	DET
fumecheng-2860	116	22	coordinates	coordinate	NOUN
fumecheng-2860	116	23	of	of	ADP
fumecheng-2860	116	24	the	the	DET
fumecheng-2860	116	25	upper	upper	ADJ
fumecheng-2860	116	26	point	point	NOUN
fumecheng-2860	116	27	of	of	ADP
fumecheng-2860	116	28	the	the	DET
fumecheng-2860	116	29	spring	spring	NOUN
fumecheng-2860	116	30	as	as	ADP
fumecheng-2860	116	31	(	(	PUNCT
fumecheng-2860	116	32	ux	ux	PROPN
fumecheng-2860	116	33	,	,	PUNCT
fumecheng-2860	116	34	uy	uy	PROPN
fumecheng-2860	116	35	)	)	PUNCT
fumecheng-2860	116	36	.	.	PUNCT
fumecheng-2860	117	1	assume	assume	VERB
fumecheng-2860	117	2	that	that	SCONJ
fumecheng-2860	117	3	in	in	ADP
fumecheng-2860	117	4	an	an	DET
fumecheng-2860	117	5	iteration	iteration	NOUN
fumecheng-2860	117	6	step	step	NOUN
fumecheng-2860	117	7	the	the	DET
fumecheng-2860	117	8	coordinates	coordinate	NOUN
fumecheng-2860	117	9	of	of	ADP
fumecheng-2860	117	10	the	the	DET
fumecheng-2860	117	11	spring	spring	NOUN
fumecheng-2860	117	12	ux	ux	INTJ
fumecheng-2860	117	13	and	and	CCONJ
fumecheng-2860	117	14	uy	uy	PROPN
fumecheng-2860	117	15	,	,	PUNCT
fumecheng-2860	117	16	are	be	AUX
fumecheng-2860	117	17	changed	change	VERB
fumecheng-2860	117	18	by	by	ADP
fumecheng-2860	117	19	δux	δux	PROPN
fumecheng-2860	117	20	and	and	CCONJ
fumecheng-2860	117	21	δuy	δuy	NOUN
fumecheng-2860	117	22	,	,	PUNCT
fumecheng-2860	117	23	so	so	SCONJ
fumecheng-2860	117	24	that	that	SCONJ
fumecheng-2860	117	25	x	x	X
fumecheng-2860	118	1	x	x	PUNCT
fumecheng-2860	118	2	x	x	VERB
fumecheng-2860	118	3	y	y	VERB
fumecheng-2860	118	4	y	y	PROPN
fumecheng-2860	118	5	y	y	PROPN
fumecheng-2860	118	6	u	u	VERB
fumecheng-2860	118	7	u	u	VERB
fumecheng-2860	118	8	u	u	X
fumecheng-2860	118	9	u	u	NOUN
fumecheng-2860	118	10	u	u	NOUN
fumecheng-2860	118	11	u	u	NOUN
fumecheng-2860	118	12			NOUN
fumecheng-2860	118	13			ADV
fumecheng-2860	118	14			PROPN
fumecheng-2860	118	15			NUM
fumecheng-2860	118	16			PROPN
fumecheng-2860	118	17			ADJ
fumecheng-2860	118	18			NUM
fumecheng-2860	118	19	.	.	PUNCT
fumecheng-2860	119	1	(	(	PUNCT
fumecheng-2860	119	2	19	19	NUM
fumecheng-2860	119	3	)	)	PUNCT
fumecheng-2860	119	4	if	if	SCONJ
fumecheng-2860	119	5	new	new	ADJ
fumecheng-2860	119	6	coordinates	coordinate	NOUN
fumecheng-2860	119	7	xu	xu	INTJ
fumecheng-2860	119	8	and/or	and/or	CCONJ
fumecheng-2860	119	9	yu	yu	PROPN
fumecheng-2860	119	10	now	now	ADV
fumecheng-2860	119	11	lie	lie	VERB
fumecheng-2860	119	12	outside	outside	ADP
fumecheng-2860	119	13	a	a	DET
fumecheng-2860	119	14	circle	circle	NOUN
fumecheng-2860	119	15	having	have	VERB
fumecheng-2860	119	16	a	a	DET
fumecheng-2860	119	17	central	central	ADJ
fumecheng-2860	119	18	point	point	NOUN
fumecheng-2860	119	19	(	(	PUNCT
fumecheng-2860	119	20	ux	ux	NOUN
fumecheng-2860	119	21	,	,	PUNCT
fumecheng-2860	119	22	tip	tip	NOUN
fumecheng-2860	119	23	,	,	PUNCT
fumecheng-2860	119	24	uy	uy	NOUN
fumecheng-2860	119	25	,	,	PUNCT
fumecheng-2860	119	26	tip	tip	NOUN
fumecheng-2860	119	27	)	)	PUNCT
fumecheng-2860	119	28	and	and	CCONJ
fumecheng-2860	119	29	a	a	DET
fumecheng-2860	119	30	radius	radius	NOUN
fumecheng-2860	119	31	l0(x	l0(x	NOUN
fumecheng-2860	119	32	):	):	PUNCT
fumecheng-2860	119	33	0	0	NUM
fumecheng-2860	119	34	(	(	PUNCT
fumecheng-2860	119	35	)	)	PUNCT
fumecheng-2860	119	36	(	(	PUNCT
fumecheng-2860	119	37	)	)	PUNCT
fumecheng-2860	119	38	/z	/z	PUNCT
fumecheng-2860	120	1	xl	xl	PROPN
fumecheng-2860	120	2	x	x	X
fumecheng-2860	121	1	f	f	X
fumecheng-2860	121	2	x	x	X
fumecheng-2860	121	3	k	k	PROPN
fumecheng-2860	121	4			PROPN
fumecheng-2860	121	5			NOUN
fumecheng-2860	121	6	,	,	PUNCT
fumecheng-2860	121	7	(	(	PUNCT
fumecheng-2860	121	8	20	20	NUM
fumecheng-2860	121	9	)	)	PUNCT
fumecheng-2860	121	10	then	then	ADV
fumecheng-2860	121	11	the	the	DET
fumecheng-2860	121	12	spring	spring	NOUN
fumecheng-2860	121	13	tip	tip	NOUN
fumecheng-2860	121	14	will	will	AUX
fumecheng-2860	121	15	start	start	VERB
fumecheng-2860	121	16	to	to	PART
fumecheng-2860	121	17	slide	slide	VERB
fumecheng-2860	121	18	in	in	ADP
fumecheng-2860	121	19	the	the	DET
fumecheng-2860	121	20	direction	direction	NOUN
fumecheng-2860	121	21	of	of	ADP
fumecheng-2860	121	22	the	the	DET
fumecheng-2860	121	23	tangential	tangential	ADJ
fumecheng-2860	121	24	reaction	reaction	NOUN
fumecheng-2860	121	25	force	force	NOUN
fumecheng-2860	121	26	(	(	PUNCT
fumecheng-2860	121	27	see	see	VERB
fumecheng-2860	121	28	fig	fig	NOUN
fumecheng-2860	121	29	.	.	PUNCT
fumecheng-2860	122	1	4	4	NUM
fumecheng-2860	122	2	)	)	PUNCT
fumecheng-2860	122	3	until	until	SCONJ
fumecheng-2860	122	4	it	it	PRON
fumecheng-2860	122	5	reaches	reach	VERB
fumecheng-2860	122	6	the	the	DET
fumecheng-2860	122	7	point	point	NOUN
fumecheng-2860	122	8	,	,	PUNCT
fumecheng-2860	122	9	ip	ip	NOUN
fumecheng-2860	122	10	,	,	PUNCT
fumecheng-2860	122	11	tip	tip	NOUN
fumecheng-2860	122	12	(	(	PUNCT
fumecheng-2860	122	13	,	,	PUNCT
fumecheng-2860	122	14	)	)	PUNCT
fumecheng-2860	122	15	x	x	SYM
fumecheng-2860	122	16	t	t	PROPN
fumecheng-2860	122	17	yu	yu	PROPN
fumecheng-2860	122	18	u	u	NOUN
fumecheng-2860	122	19	:	:	PUNCT
fumecheng-2860	122	20	2	2	NUM
fumecheng-2860	122	21	2	2	NUM
fumecheng-2860	122	22	,	,	PUNCT
fumecheng-2860	122	23	,	,	PUNCT
fumecheng-2860	122	24	0	0	NUM
fumecheng-2860	122	25	(	(	PUNCT
fumecheng-2860	122	26	)	)	PUNCT
fumecheng-2860	122	27	(	(	PUNCT
fumecheng-2860	122	28	)	)	PUNCT
fumecheng-2860	122	29	(	(	PUNCT
fumecheng-2860	122	30	)	)	PUNCT
fumecheng-2860	122	31	x	x	X
fumecheng-2860	122	32	x	x	X
fumecheng-2860	122	33	tip	tip	X
fumecheng-2860	122	34	y	y	PROPN
fumecheng-2860	122	35	y	y	PROPN
fumecheng-2860	122	36	tipu	tipu	PROPN
fumecheng-2860	122	37	u	u	PROPN
fumecheng-2860	122	38	u	u	PROPN
fumecheng-2860	122	39	u	u	PROPN
fumecheng-2860	122	40	l	l	PROPN
fumecheng-2860	122	41	x	x	PROPN
fumecheng-2860	122	42			PUNCT
fumecheng-2860	122	43			PROPN
fumecheng-2860	122	44			PROPN
fumecheng-2860	122	45	.	.	PUNCT
fumecheng-2860	123	1	(	(	PUNCT
fumecheng-2860	123	2	21	21	NUM
fumecheng-2860	123	3	)	)	PUNCT
fumecheng-2860	123	4	simulation	simulation	NOUN
fumecheng-2860	123	5	of	of	ADP
fumecheng-2860	123	6	frictional	frictional	ADJ
fumecheng-2860	123	7	dissipation	dissipation	NOUN
fumecheng-2860	123	8	under	under	ADP
fumecheng-2860	123	9	biaxial	biaxial	ADJ
fumecheng-2860	123	10	tangential	tangential	ADJ
fumecheng-2860	123	11	loading	loading	NOUN
fumecheng-2860	123	12	...	...	PUNCT
fumecheng-2860	123	13	301	301	NUM
fumecheng-2860	123	14	in	in	ADP
fumecheng-2860	123	15	other	other	ADJ
fumecheng-2860	123	16	words	word	NOUN
fumecheng-2860	123	17	,	,	PUNCT
fumecheng-2860	123	18	the	the	DET
fumecheng-2860	123	19	new	new	ADJ
fumecheng-2860	123	20	equilibrium	equilibrium	NOUN
fumecheng-2860	123	21	point	point	NOUN
fumecheng-2860	123	22	lays	lay	VERB
fumecheng-2860	123	23	on	on	ADP
fumecheng-2860	123	24	the	the	DET
fumecheng-2860	123	25	straight	straight	ADJ
fumecheng-2860	123	26	line	line	NOUN
fumecheng-2860	123	27	connecting	connect	VERB
fumecheng-2860	123	28	the	the	DET
fumecheng-2860	123	29	points	point	NOUN
fumecheng-2860	123	30	(	(	PUNCT
fumecheng-2860	123	31	ux	ux	NOUN
fumecheng-2860	123	32	,	,	PUNCT
fumecheng-2860	123	33	tip	tip	NOUN
fumecheng-2860	123	34	,	,	PUNCT
fumecheng-2860	123	35	uy	uy	NOUN
fumecheng-2860	123	36	,	,	PUNCT
fumecheng-2860	123	37	tip	tip	NOUN
fumecheng-2860	123	38	)	)	PUNCT
fumecheng-2860	123	39	and	and	CCONJ
fumecheng-2860	123	40	(	(	PUNCT
fumecheng-2860	123	41	,	,	PUNCT
fumecheng-2860	123	42	)	)	PUNCT
fumecheng-2860	123	43	x	x	SYM
fumecheng-2860	123	44	yu	yu	PROPN
fumecheng-2860	123	45	u	u	PROPN
fumecheng-2860	123	46	,	,	PUNCT
fumecheng-2860	123	47	at	at	ADP
fumecheng-2860	123	48	distance	distance	NOUN
fumecheng-2860	123	49	l0(x	l0(x	NOUN
fumecheng-2860	123	50	)	)	PUNCT
fumecheng-2860	123	51	from	from	ADP
fumecheng-2860	123	52	(	(	PUNCT
fumecheng-2860	123	53	,	,	PUNCT
fumecheng-2860	123	54	)	)	PUNCT
fumecheng-2860	123	55	x	x	SYM
fumecheng-2860	123	56	yu	yu	PROPN
fumecheng-2860	123	57	u	u	PROPN
fumecheng-2860	123	58	(	(	PUNCT
fumecheng-2860	123	59	see	see	VERB
fumecheng-2860	123	60	fig	fig	NOUN
fumecheng-2860	123	61	.	.	PUNCT
fumecheng-2860	124	1	4	4	NUM
fumecheng-2860	124	2	)	)	PUNCT
fumecheng-2860	124	3	.	.	PUNCT
fumecheng-2860	125	1	fig	fig	NOUN
fumecheng-2860	125	2	.	.	PUNCT
fumecheng-2860	126	1	4	4	NUM
fumecheng-2860	126	2	the	the	DET
fumecheng-2860	126	3	slip	slip	NOUN
fumecheng-2860	126	4	displacement	displacement	NOUN
fumecheng-2860	126	5	of	of	ADP
fumecheng-2860	126	6	a	a	DET
fumecheng-2860	126	7	single	single	ADJ
fumecheng-2860	126	8	spring	spring	NOUN
fumecheng-2860	126	9	in	in	ADP
fumecheng-2860	126	10	xy	xy	PROPN
fumecheng-2860	126	11	plane	plane	NOUN
fumecheng-2860	126	12	under	under	ADP
fumecheng-2860	126	13	lateral	lateral	ADJ
fumecheng-2860	126	14	motion	motion	NOUN
fumecheng-2860	126	15	the	the	DET
fumecheng-2860	126	16	components	component	NOUN
fumecheng-2860	126	17	of	of	ADP
fumecheng-2860	126	18	the	the	DET
fumecheng-2860	126	19	tangential	tangential	ADJ
fumecheng-2860	126	20	reaction	reaction	NOUN
fumecheng-2860	126	21	force	force	NOUN
fumecheng-2860	126	22	of	of	ADP
fumecheng-2860	126	23	the	the	DET
fumecheng-2860	126	24	spring	spring	NOUN
fumecheng-2860	126	25	can	can	AUX
fumecheng-2860	126	26	be	be	AUX
fumecheng-2860	126	27	found	find	VERB
fumecheng-2860	126	28	as	as	SCONJ
fumecheng-2860	126	29	follows	follow	VERB
fumecheng-2860	126	30	:	:	PUNCT
fumecheng-2860	126	31	,	,	PUNCT
fumecheng-2860	126	32	,	,	PUNCT
fumecheng-2860	126	33	(	(	PUNCT
fumecheng-2860	126	34	)	)	PUNCT
fumecheng-2860	126	35	(	(	PUNCT
fumecheng-2860	126	36	)	)	PUNCT
fumecheng-2860	126	37	(	(	PUNCT
fumecheng-2860	126	38	)	)	PUNCT
fumecheng-2860	126	39	(	(	PUNCT
fumecheng-2860	126	40	)	)	PUNCT
fumecheng-2860	126	41	x	x	PUNCT
fumecheng-2860	127	1	x	x	PUNCT
fumecheng-2860	127	2	x	x	PUNCT
fumecheng-2860	127	3	x	x	X
fumecheng-2860	127	4	tip	tip	NOUN
fumecheng-2860	127	5	y	y	PROPN
fumecheng-2860	127	6	y	y	PROPN
fumecheng-2860	127	7	y	y	PROPN
fumecheng-2860	127	8	y	y	PROPN
fumecheng-2860	127	9	tip	tip	PROPN
fumecheng-2860	128	1	f	f	X
fumecheng-2860	128	2	x	x	X
fumecheng-2860	128	3	k	k	X
fumecheng-2860	128	4	u	u	X
fumecheng-2860	128	5	u	u	NOUN
fumecheng-2860	128	6	f	f	PROPN
fumecheng-2860	128	7	x	x	X
fumecheng-2860	128	8	k	k	X
fumecheng-2860	128	9	u	u	X
fumecheng-2860	128	10	u	u	NOUN
fumecheng-2860	128	11			NOUN
fumecheng-2860	128	12			NUM
fumecheng-2860	128	13			NOUN
fumecheng-2860	128	14			VERB
fumecheng-2860	128	15			NOUN
fumecheng-2860	128	16			NOUN
fumecheng-2860	128	17			NUM
fumecheng-2860	128	18			NOUN
fumecheng-2860	128	19			CCONJ
fumecheng-2860	128	20	.	.	PUNCT
fumecheng-2860	129	1	(	(	PUNCT
fumecheng-2860	129	2	22	22	X
fumecheng-2860	129	3	)	)	PUNCT
fumecheng-2860	129	4	we	we	PRON
fumecheng-2860	129	5	have	have	AUX
fumecheng-2860	129	6	studied	study	VERB
fumecheng-2860	129	7	the	the	DET
fumecheng-2860	129	8	frictional	frictional	ADJ
fumecheng-2860	129	9	energy	energy	NOUN
fumecheng-2860	129	10	dissipation	dissipation	NOUN
fumecheng-2860	129	11	for	for	ADP
fumecheng-2860	129	12	the	the	DET
fumecheng-2860	129	13	parabolic	parabolic	PROPN
fumecheng-2860	129	14	indenter	indenter	NOUN
fumecheng-2860	129	15	with	with	ADP
fumecheng-2860	129	16	the	the	DET
fumecheng-2860	129	17	following	follow	VERB
fumecheng-2860	129	18	fictive	fictive	ADJ
fumecheng-2860	129	19	parameters	parameter	NOUN
fumecheng-2860	129	20	:	:	PUNCT
fumecheng-2860	129	21	r0=1	r0=1	PROPN
fumecheng-2860	129	22	m	m	PROPN
fumecheng-2860	129	23	,	,	PUNCT
fumecheng-2860	129	24	e	e	NOUN
fumecheng-2860	129	25	*	*	PUNCT
fumecheng-2860	129	26	=	=	SYM
fumecheng-2860	129	27	1	1	NUM
fumecheng-2860	129	28	gpa	gpa	NOUN
fumecheng-2860	129	29	,	,	PUNCT
fumecheng-2860	129	30	d=0.001	d=0.001	NOUN
fumecheng-2860	129	31	m	m	NOUN
fumecheng-2860	129	32	,	,	PUNCT
fumecheng-2860	129	33	ν=0.28	ν=0.28	NOUN
fumecheng-2860	129	34	,	,	PUNCT
fumecheng-2860	129	35	μ=0.3	μ=0.3	ADJ
fumecheng-2860	129	36	.	.	PUNCT
fumecheng-2860	130	1	the	the	DET
fumecheng-2860	130	2	indenter	indenter	NOUN
fumecheng-2860	130	3	was	be	AUX
fumecheng-2860	130	4	initially	initially	ADV
fumecheng-2860	130	5	moved	move	VERB
fumecheng-2860	130	6	to	to	ADP
fumecheng-2860	130	7	the	the	DET
fumecheng-2860	130	8	point	point	NOUN
fumecheng-2860	130	9	(	(	PUNCT
fumecheng-2860	130	10	ux0	ux0	PROPN
fumecheng-2860	130	11	,	,	PUNCT
fumecheng-2860	130	12	0	0	NUM
fumecheng-2860	130	13	)	)	PUNCT
fumecheng-2860	130	14	and	and	CCONJ
fumecheng-2860	130	15	then	then	ADV
fumecheng-2860	130	16	subjected	subject	VERB
fumecheng-2860	130	17	to	to	ADP
fumecheng-2860	130	18	an	an	DET
fumecheng-2860	130	19	in	in	ADP
fumecheng-2860	130	20	-	-	PUNCT
fumecheng-2860	130	21	plane	plane	NOUN
fumecheng-2860	130	22	harmonic	harmonic	ADJ
fumecheng-2860	130	23	displacement	displacement	NOUN
fumecheng-2860	130	24	0	0	NUM
fumecheng-2860	130	25	0	0	NUM
fumecheng-2860	131	1	(	(	PUNCT
fumecheng-2860	131	2	)	)	PUNCT
fumecheng-2860	131	3	cos	cos	PROPN
fumecheng-2860	131	4	(	(	PUNCT
fumecheng-2860	131	5	)	)	PUNCT
fumecheng-2860	131	6	(	(	PUNCT
fumecheng-2860	131	7	)	)	PUNCT
fumecheng-2860	131	8	sin	sin	NOUN
fumecheng-2860	131	9	(	(	PUNCT
fumecheng-2860	131	10	)	)	PUNCT
fumecheng-2860	131	11	x	x	SYM
fumecheng-2860	132	1	x	x	PUNCT
fumecheng-2860	132	2	y	y	VERB
fumecheng-2860	132	3	y	y	PROPN
fumecheng-2860	132	4	u	u	NOUN
fumecheng-2860	132	5	t	t	X
fumecheng-2860	132	6	u	u	NOUN
fumecheng-2860	132	7	t	t	PROPN
fumecheng-2860	132	8	u	u	NOUN
fumecheng-2860	132	9	t	t	PROPN
fumecheng-2860	132	10	u	u	NOUN
fumecheng-2860	132	11	t	t	PROPN
fumecheng-2860	132	12			NOUN
fumecheng-2860	133	1			PROPN
fumecheng-2860	134	1			NUM
fumecheng-2860	134	2			NOUN
fumecheng-2860	134	3			ADV
fumecheng-2860	134	4	.	.	PUNCT
fumecheng-2860	135	1	(	(	PUNCT
fumecheng-2860	135	2	23	23	NUM
fumecheng-2860	135	3	)	)	PUNCT
fumecheng-2860	135	4	controlling	control	VERB
fumecheng-2860	135	5	the	the	DET
fumecheng-2860	135	6	tangential	tangential	ADJ
fumecheng-2860	135	7	reaction	reaction	NOUN
fumecheng-2860	135	8	forces	force	NOUN
fumecheng-2860	135	9	in	in	ADP
fumecheng-2860	135	10	ox	ox	NOUN
fumecheng-2860	135	11	and	and	CCONJ
fumecheng-2860	135	12	oy	oy	NOUN
fumecheng-2860	135	13	directions	direction	NOUN
fumecheng-2860	135	14	,	,	PUNCT
fumecheng-2860	135	15	it	it	PRON
fumecheng-2860	135	16	is	be	AUX
fumecheng-2860	135	17	possible	possible	ADJ
fumecheng-2860	135	18	to	to	PART
fumecheng-2860	135	19	introduce	introduce	VERB
fumecheng-2860	135	20	the	the	DET
fumecheng-2860	135	21	force	force	NOUN
fumecheng-2860	135	22	-	-	PUNCT
fumecheng-2860	135	23	dependent	dependent	ADJ
fumecheng-2860	135	24	governing	governing	NOUN
fumecheng-2860	135	25	parameters	parameter	NOUN
fumecheng-2860	135	26	,	,	PUNCT
fumecheng-2860	135	27	following	follow	VERB
fumecheng-2860	135	28	the	the	DET
fumecheng-2860	135	29	paper	paper	NOUN
fumecheng-2860	135	30	of	of	ADP
fumecheng-2860	135	31	ciavarella	ciavarella	NOUN
fumecheng-2860	136	1	[	[	X
fumecheng-2860	136	2	10	10	NUM
fumecheng-2860	136	3	]	]	X
fumecheng-2860	136	4	:	:	PUNCT
fumecheng-2860	136	5	/	/	SYM
fumecheng-2860	136	6	zq	zq	PROPN
fumecheng-2860	136	7	f	f	NUM
fumecheng-2860	136	8	and	and	CCONJ
fumecheng-2860	136	9	/m	/m	NUM
fumecheng-2860	136	10	x	x	PROPN
fumecheng-2860	137	1	yr	yr	NOUN
fumecheng-2860	137	2	q	q	PROPN
fumecheng-2860	137	3	q	q	PROPN
fumecheng-2860	137	4	,	,	PUNCT
fumecheng-2860	137	5	(	(	PUNCT
fumecheng-2860	137	6	24	24	NUM
fumecheng-2860	137	7	)	)	PUNCT
fumecheng-2860	138	1	where	where	SCONJ
fumecheng-2860	138	2	2	2	NUM
fumecheng-2860	138	3	2max	2max	NUM
fumecheng-2860	138	4	(	(	PUNCT
fumecheng-2860	138	5	)	)	PUNCT
fumecheng-2860	138	6	,	,	PUNCT
fumecheng-2860	138	7	max	max	PROPN
fumecheng-2860	138	8	(	(	PUNCT
fumecheng-2860	138	9	)	)	PUNCT
fumecheng-2860	138	10	,	,	PUNCT
fumecheng-2860	138	11	x	x	PUNCT
fumecheng-2860	138	12	x	x	VERB
fumecheng-2860	138	13	y	y	VERB
fumecheng-2860	138	14	y	y	PROPN
fumecheng-2860	138	15	x	x	PROPN
fumecheng-2860	138	16	yq	yq	PROPN
fumecheng-2860	138	17	f	f	PROPN
fumecheng-2860	138	18	t	t	PROPN
fumecheng-2860	138	19	q	q	PROPN
fumecheng-2860	138	20	f	f	PROPN
fumecheng-2860	138	21	t	t	PROPN
fumecheng-2860	138	22	q	q	NOUN
fumecheng-2860	138	23	q	q	PROPN
fumecheng-2860	138	24	q	q	PROPN
fumecheng-2860	138	25			PROPN
fumecheng-2860	138	26			NOUN
fumecheng-2860	138	27			PUNCT
fumecheng-2860	138	28	.	.	PUNCT
fumecheng-2860	139	1	(	(	PUNCT
fumecheng-2860	139	2	25	25	NUM
fumecheng-2860	139	3	)	)	PUNCT
fumecheng-2860	139	4	note	note	NOUN
fumecheng-2860	139	5	that	that	SCONJ
fumecheng-2860	139	6	the	the	DET
fumecheng-2860	139	7	value	value	NOUN
fumecheng-2860	139	8	of	of	ADP
fumecheng-2860	139	9	q	q	NOUN
fumecheng-2860	139	10	,	,	PUNCT
fumecheng-2860	139	11	defined	define	VERB
fumecheng-2860	139	12	in	in	ADP
fumecheng-2860	139	13	eq	eq	ADP
fumecheng-2860	139	14	.	.	PUNCT
fumecheng-2860	139	15	(	(	PUNCT
fumecheng-2860	139	16	25	25	NUM
fumecheng-2860	139	17	)	)	PUNCT
fumecheng-2860	139	18	,	,	PUNCT
fumecheng-2860	139	19	does	do	AUX
fumecheng-2860	139	20	not	not	PART
fumecheng-2860	139	21	correspond	correspond	VERB
fumecheng-2860	139	22	to	to	ADP
fumecheng-2860	139	23	any	any	DET
fumecheng-2860	139	24	real	real	ADJ
fumecheng-2860	139	25	tangential	tangential	ADJ
fumecheng-2860	139	26	force	force	NOUN
fumecheng-2860	139	27	acting	act	VERB
fumecheng-2860	139	28	on	on	ADP
fumecheng-2860	139	29	the	the	DET
fumecheng-2860	139	30	indenter	indenter	NOUN
fumecheng-2860	139	31	,	,	PUNCT
fumecheng-2860	139	32	but	but	CCONJ
fumecheng-2860	139	33	it	it	PRON
fumecheng-2860	139	34	serves	serve	VERB
fumecheng-2860	139	35	only	only	ADV
fumecheng-2860	139	36	as	as	ADP
fumecheng-2860	139	37	a	a	DET
fumecheng-2860	139	38	governing	govern	VERB
fumecheng-2860	139	39	parameter	parameter	NOUN
fumecheng-2860	139	40	in	in	ADP
fumecheng-2860	139	41	the	the	DET
fumecheng-2860	139	42	parametric	parametric	ADJ
fumecheng-2860	139	43	study	study	NOUN
fumecheng-2860	139	44	of	of	ADP
fumecheng-2860	139	45	the	the	DET
fumecheng-2860	139	46	problem	problem	NOUN
fumecheng-2860	139	47	under	under	ADP
fumecheng-2860	139	48	consideration	consideration	NOUN
fumecheng-2860	139	49	.	.	PUNCT
fumecheng-2860	140	1	with	with	ADP
fumecheng-2860	140	2	eq	eq	NOUN
fumecheng-2860	140	3	.	.	PUNCT
fumecheng-2860	141	1	(	(	PUNCT
fumecheng-2860	141	2	22	22	NUM
fumecheng-2860	141	3	)	)	PUNCT
fumecheng-2860	141	4	we	we	PRON
fumecheng-2860	141	5	determine	determine	VERB
fumecheng-2860	141	6	linear	linear	ADJ
fumecheng-2860	141	7	force	force	NOUN
fumecheng-2860	141	8	densities	density	NOUN
fumecheng-2860	141	9	qx(x)=δfx(x)/δx	qx(x)=δfx(x)/δx	PROPN
fumecheng-2860	141	10	and	and	CCONJ
fumecheng-2860	141	11	qy(x)=δfy(x)/δx	qy(x)=δfy(x)/δx	PROPN
fumecheng-2860	141	12	.	.	PUNCT
fumecheng-2860	142	1	we	we	PRON
fumecheng-2860	142	2	then	then	ADV
fumecheng-2860	142	3	calculate	calculate	VERB
fumecheng-2860	142	4	the	the	DET
fumecheng-2860	142	5	tangential	tangential	ADJ
fumecheng-2860	142	6	stress	stress	NOUN
fumecheng-2860	142	7	components	component	NOUN
fumecheng-2860	142	8	given	give	VERB
fumecheng-2860	142	9	by	by	ADP
fumecheng-2860	142	10	eqs	eqs	PROPN
fumecheng-2860	142	11	.	.	PUNCT
fumecheng-2860	143	1	(	(	PUNCT
fumecheng-2860	143	2	17	17	NUM
fumecheng-2860	143	3	)	)	PUNCT
fumecheng-2860	143	4	and	and	CCONJ
fumecheng-2860	143	5	(	(	PUNCT
fumecheng-2860	143	6	18	18	NUM
fumecheng-2860	143	7	)	)	PUNCT
fumecheng-2860	143	8	and	and	CCONJ
fumecheng-2860	143	9	finally	finally	ADV
fumecheng-2860	143	10	the	the	DET
fumecheng-2860	143	11	absolute	absolute	ADJ
fumecheng-2860	143	12	value	value	NOUN
fumecheng-2860	143	13	of	of	ADP
fumecheng-2860	143	14	the	the	DET
fumecheng-2860	143	15	tangential	tangential	ADJ
fumecheng-2860	143	16	stress	stress	NOUN
fumecheng-2860	143	17	:	:	PUNCT
fumecheng-2860	143	18	2	2	NUM
fumecheng-2860	143	19	2	2	NUM
fumecheng-2860	143	20	(	(	PUNCT
fumecheng-2860	143	21	)	)	PUNCT
fumecheng-2860	143	22	(	(	PUNCT
fumecheng-2860	143	23	)	)	PUNCT
fumecheng-2860	143	24	(	(	PUNCT
fumecheng-2860	143	25	)	)	PUNCT
fumecheng-2860	143	26	mdr	mdr	PROPN
fumecheng-2860	144	1	x	x	PUNCT
fumecheng-2860	144	2	yr	yr	NOUN
fumecheng-2860	144	3	r	r	NOUN
fumecheng-2860	144	4	r	r	PROPN
fumecheng-2860	144	5			PROPN
fumecheng-2860	144	6			PROPN
fumecheng-2860	144	7			ADV
fumecheng-2860	144	8			PROPN
fumecheng-2860	144	9	(	(	PUNCT
fumecheng-2860	144	10	26	26	NUM
fumecheng-2860	144	11	)	)	PUNCT
fumecheng-2860	144	12	302	302	NUM
fumecheng-2860	144	13	a.v	a.v	PROPN
fumecheng-2860	144	14	.	.	PROPN
fumecheng-2860	144	15	dimaki	dimaki	PROPN
fumecheng-2860	144	16	,	,	PUNCT
fumecheng-2860	144	17	r.	r.	PROPN
fumecheng-2860	144	18	pohrt	pohrt	PROPN
fumecheng-2860	144	19	,	,	PUNCT
fumecheng-2860	144	20	v.l	v.l	PROPN
fumecheng-2860	144	21	.	.	PROPN
fumecheng-2860	144	22	popov	popov	PROPN
fumecheng-2860	144	23	the	the	DET
fumecheng-2860	144	24	corresponding	corresponding	ADJ
fumecheng-2860	144	25	dependencies	dependency	NOUN
fumecheng-2860	144	26	are	be	AUX
fumecheng-2860	144	27	presented	present	VERB
fumecheng-2860	144	28	in	in	ADP
fumecheng-2860	144	29	fig	fig	NOUN
fumecheng-2860	144	30	.	.	PUNCT
fumecheng-2860	145	1	5	5	NUM
fumecheng-2860	145	2	together	together	ADV
fumecheng-2860	145	3	with	with	ADP
fumecheng-2860	145	4	the	the	DET
fumecheng-2860	145	5	normal	normal	ADJ
fumecheng-2860	145	6	stress	stress	NOUN
fumecheng-2860	145	7	distribution	distribution	NOUN
fumecheng-2860	145	8	multiplied	multiply	VERB
fumecheng-2860	145	9	with	with	ADP
fumecheng-2860	145	10	the	the	DET
fumecheng-2860	145	11	coefficient	coefficient	NOUN
fumecheng-2860	145	12	of	of	ADP
fumecheng-2860	145	13	friction	friction	NOUN
fumecheng-2860	145	14	and	and	CCONJ
fumecheng-2860	145	15	the	the	DET
fumecheng-2860	145	16	formal	formal	ADJ
fumecheng-2860	145	17	mindlin	mindlin	NOUN
fumecheng-2860	145	18	solution	solution	NOUN
fumecheng-2860	145	19	with	with	ADP
fumecheng-2860	145	20	the	the	DET
fumecheng-2860	145	21	same	same	ADJ
fumecheng-2860	145	22	radius	radius	NOUN
fumecheng-2860	145	23	of	of	ADP
fumecheng-2860	145	24	stick	stick	PROPN
fumecheng-2860	145	25	region	region	NOUN
fumecheng-2860	145	26	(	(	PUNCT
fumecheng-2860	145	27	dashed	dash	VERB
fumecheng-2860	145	28	lines	line	NOUN
fumecheng-2860	145	29	in	in	ADP
fumecheng-2860	145	30	fig	fig	NOUN
fumecheng-2860	145	31	.	.	PUNCT
fumecheng-2860	146	1	5	5	NUM
fumecheng-2860	146	2	)	)	PUNCT
fumecheng-2860	146	3	.	.	PUNCT
fumecheng-2860	147	1	one	one	PRON
fumecheng-2860	147	2	can	can	AUX
fumecheng-2860	147	3	see	see	VERB
fumecheng-2860	147	4	that	that	SCONJ
fumecheng-2860	147	5	the	the	DET
fumecheng-2860	147	6	obtained	obtain	VERB
fumecheng-2860	147	7	stress	stress	NOUN
fumecheng-2860	147	8	distributions	distribution	NOUN
fumecheng-2860	147	9	do	do	AUX
fumecheng-2860	147	10	not	not	PART
fumecheng-2860	147	11	exactly	exactly	ADV
fumecheng-2860	147	12	fulfill	fulfill	VERB
fumecheng-2860	147	13	the	the	DET
fumecheng-2860	147	14	conditions	condition	NOUN
fumecheng-2860	147	15	for	for	ADP
fumecheng-2860	147	16	stick	stick	NOUN
fumecheng-2860	147	17	and	and	CCONJ
fumecheng-2860	147	18	slip	slip	NOUN
fumecheng-2860	147	19	.	.	PUNCT
fumecheng-2860	148	1	in	in	ADP
fumecheng-2860	148	2	most	most	ADJ
fumecheng-2860	148	3	ranges	range	NOUN
fumecheng-2860	148	4	of	of	ADP
fumecheng-2860	148	5	radii	radii	NOUN
fumecheng-2860	148	6	smaller	small	ADJ
fumecheng-2860	148	7	than	than	ADP
fumecheng-2860	148	8	the	the	DET
fumecheng-2860	148	9	stick	stick	NOUN
fumecheng-2860	148	10	radius	radius	NOUN
fumecheng-2860	148	11	,	,	PUNCT
fumecheng-2860	148	12	the	the	DET
fumecheng-2860	148	13	tangential	tangential	ADJ
fumecheng-2860	148	14	stress	stress	NOUN
fumecheng-2860	148	15	is	be	AUX
fumecheng-2860	148	16	smaller	small	ADJ
fumecheng-2860	148	17	than	than	ADP
fumecheng-2860	148	18	the	the	DET
fumecheng-2860	148	19	normal	normal	ADJ
fumecheng-2860	148	20	stress	stress	NOUN
fumecheng-2860	148	21	multiplied	multiply	VERB
fumecheng-2860	148	22	with	with	ADP
fumecheng-2860	148	23	the	the	DET
fumecheng-2860	148	24	coefficient	coefficient	NOUN
fumecheng-2860	148	25	of	of	ADP
fumecheng-2860	148	26	friction	friction	NOUN
fumecheng-2860	148	27	;	;	PUNCT
fumecheng-2860	148	28	there	there	PRON
fumecheng-2860	148	29	is	be	VERB
fumecheng-2860	148	30	only	only	ADV
fumecheng-2860	148	31	a	a	DET
fumecheng-2860	148	32	small	small	ADJ
fumecheng-2860	148	33	region	region	NOUN
fumecheng-2860	148	34	inside	inside	ADP
fumecheng-2860	148	35	the	the	DET
fumecheng-2860	148	36	stick	stick	NOUN
fumecheng-2860	148	37	radius	radius	NOUN
fumecheng-2860	148	38	with	with	ADP
fumecheng-2860	148	39			NOUN
fumecheng-2860	148	40	too	too	ADV
fumecheng-2860	148	41	high	high	ADJ
fumecheng-2860	148	42	.	.	PUNCT
fumecheng-2860	149	1	thus	thus	ADV
fumecheng-2860	149	2	the	the	DET
fumecheng-2860	149	3	stick	stick	NOUN
fumecheng-2860	149	4	condition	condition	NOUN
fumecheng-2860	149	5	is	be	AUX
fumecheng-2860	149	6	fulfilled	fulfil	VERB
fumecheng-2860	149	7	not	not	PART
fumecheng-2860	149	8	exactly	exactly	ADV
fumecheng-2860	149	9	but	but	CCONJ
fumecheng-2860	149	10	in	in	ADP
fumecheng-2860	149	11	good	good	ADJ
fumecheng-2860	149	12	approximation	approximation	NOUN
fumecheng-2860	149	13	.	.	PUNCT
fumecheng-2860	150	1	however	however	ADV
fumecheng-2860	150	2	,	,	PUNCT
fumecheng-2860	150	3	for	for	ADP
fumecheng-2860	150	4	radii	radius	NOUN
fumecheng-2860	150	5	moderately	moderately	ADV
fumecheng-2860	150	6	larger	large	ADJ
fumecheng-2860	150	7	the	the	DET
fumecheng-2860	150	8	stick	stick	NOUN
fumecheng-2860	150	9	radius	radius	NOUN
fumecheng-2860	150	10	,	,	PUNCT
fumecheng-2860	150	11	the	the	DET
fumecheng-2860	150	12	tangential	tangential	ADJ
fumecheng-2860	150	13	stress	stress	NOUN
fumecheng-2860	150	14	is	be	AUX
fumecheng-2860	150	15	higher	high	ADJ
fumecheng-2860	150	16	than	than	ADP
fumecheng-2860	150	17	the	the	DET
fumecheng-2860	150	18	normal	normal	ADJ
fumecheng-2860	150	19	stress	stress	NOUN
fumecheng-2860	150	20	times	time	VERB
fumecheng-2860	150	21	the	the	DET
fumecheng-2860	150	22	coefficient	coefficient	NOUN
fumecheng-2860	150	23	of	of	ADP
fumecheng-2860	150	24	friction	friction	NOUN
fumecheng-2860	150	25	,	,	PUNCT
fumecheng-2860	150	26	which	which	PRON
fumecheng-2860	150	27	means	mean	VERB
fumecheng-2860	150	28	that	that	SCONJ
fumecheng-2860	150	29	the	the	DET
fumecheng-2860	150	30	sliding	slide	VERB
fumecheng-2860	150	31	condition	condition	NOUN
fumecheng-2860	150	32	is	be	AUX
fumecheng-2860	150	33	not	not	PART
fumecheng-2860	150	34	fulfilled	fulfil	VERB
fumecheng-2860	150	35	.	.	PUNCT
fumecheng-2860	151	1	at	at	ADP
fumecheng-2860	151	2	even	even	ADV
fumecheng-2860	151	3	larger	large	ADJ
fumecheng-2860	151	4	radii	radius	NOUN
fumecheng-2860	151	5	,	,	PUNCT
fumecheng-2860	151	6	the	the	DET
fumecheng-2860	151	7	condition	condition	NOUN
fumecheng-2860	151	8	that	that	SCONJ
fumecheng-2860	151	9	in	in	ADP
fumecheng-2860	151	10	the	the	DET
fumecheng-2860	151	11	sliding	slide	VERB
fumecheng-2860	151	12	region	region	NOUN
fumecheng-2860	151	13	the	the	DET
fumecheng-2860	151	14	tangential	tangential	ADJ
fumecheng-2860	151	15	stress	stress	NOUN
fumecheng-2860	151	16	must	must	AUX
fumecheng-2860	151	17	be	be	AUX
fumecheng-2860	151	18	equal	equal	ADJ
fumecheng-2860	151	19	to	to	ADP
fumecheng-2860	151	20	normal	normal	ADJ
fumecheng-2860	151	21	stress	stress	NOUN
fumecheng-2860	151	22	times	time	NOUN
fumecheng-2860	151	23	the	the	DET
fumecheng-2860	151	24	coefficient	coefficient	NOUN
fumecheng-2860	151	25	of	of	ADP
fumecheng-2860	151	26	friction	friction	NOUN
fumecheng-2860	151	27	is	be	AUX
fumecheng-2860	151	28	fulfilled	fulfil	VERB
fumecheng-2860	151	29	with	with	ADP
fumecheng-2860	151	30	good	good	ADJ
fumecheng-2860	151	31	accuracy	accuracy	NOUN
fumecheng-2860	151	32	.	.	PUNCT
fumecheng-2860	152	1	thus	thus	ADV
fumecheng-2860	152	2	,	,	PUNCT
fumecheng-2860	152	3	the	the	DET
fumecheng-2860	152	4	tangential	tangential	ADJ
fumecheng-2860	152	5	stress	stress	NOUN
fumecheng-2860	152	6	distribution	distribution	NOUN
fumecheng-2860	152	7	has	have	VERB
fumecheng-2860	152	8	a	a	DET
fumecheng-2860	152	9	qualitatively	qualitatively	ADV
fumecheng-2860	152	10	correct	correct	ADJ
fumecheng-2860	152	11	shape	shape	NOUN
fumecheng-2860	152	12	but	but	CCONJ
fumecheng-2860	152	13	it	it	PRON
fumecheng-2860	152	14	does	do	AUX
fumecheng-2860	152	15	not	not	PART
fumecheng-2860	152	16	exactly	exactly	ADV
fumecheng-2860	152	17	match	match	VERB
fumecheng-2860	152	18	the	the	DET
fumecheng-2860	152	19	stick	stick	NOUN
fumecheng-2860	152	20	und	und	NOUN
fumecheng-2860	152	21	slip	slip	NOUN
fumecheng-2860	152	22	conditions	condition	NOUN
fumecheng-2860	152	23	.	.	PUNCT
fumecheng-2860	153	1	the	the	DET
fumecheng-2860	153	2	mentioned	mention	VERB
fumecheng-2860	153	3	discrepancy	discrepancy	NOUN
fumecheng-2860	153	4	is	be	AUX
fumecheng-2860	153	5	observed	observe	VERB
fumecheng-2860	153	6	only	only	ADV
fumecheng-2860	153	7	in	in	ADP
fumecheng-2860	153	8	a	a	DET
fumecheng-2860	153	9	relatively	relatively	ADV
fumecheng-2860	153	10	narrow	narrow	ADJ
fumecheng-2860	153	11	interval	interval	NOUN
fumecheng-2860	153	12	of	of	ADP
fumecheng-2860	153	13	radii	radius	NOUN
fumecheng-2860	153	14	.	.	PUNCT
fumecheng-2860	154	1	thus	thus	ADV
fumecheng-2860	154	2	,	,	PUNCT
fumecheng-2860	154	3	the	the	DET
fumecheng-2860	154	4	integral	integral	ADJ
fumecheng-2860	154	5	influence	influence	NOUN
fumecheng-2860	154	6	of	of	ADP
fumecheng-2860	154	7	this	this	DET
fumecheng-2860	154	8	error	error	NOUN
fumecheng-2860	154	9	may	may	AUX
fumecheng-2860	154	10	be	be	AUX
fumecheng-2860	154	11	moderate	moderate	ADJ
fumecheng-2860	154	12	.	.	PUNCT
fumecheng-2860	155	1	this	this	DET
fumecheng-2860	155	2	situation	situation	NOUN
fumecheng-2860	155	3	can	can	AUX
fumecheng-2860	155	4	be	be	AUX
fumecheng-2860	155	5	compared	compare	VERB
fumecheng-2860	155	6	with	with	ADP
fumecheng-2860	155	7	the	the	DET
fumecheng-2860	155	8	solution	solution	NOUN
fumecheng-2860	155	9	by	by	ADP
fumecheng-2860	155	10	cattaneo	cattaneo	NOUN
fumecheng-2860	155	11	and	and	CCONJ
fumecheng-2860	155	12	mindlin	mindlin	NOUN
fumecheng-2860	155	13	which	which	PRON
fumecheng-2860	155	14	also	also	ADV
fumecheng-2860	155	15	has	have	VERB
fumecheng-2860	155	16	a	a	DET
fumecheng-2860	155	17	local	local	ADJ
fumecheng-2860	155	18	error	error	NOUN
fumecheng-2860	155	19	,	,	PUNCT
fumecheng-2860	155	20	but	but	CCONJ
fumecheng-2860	155	21	the	the	DET
fumecheng-2860	155	22	global	global	ADJ
fumecheng-2860	155	23	error	error	NOUN
fumecheng-2860	155	24	in	in	ADP
fumecheng-2860	155	25	the	the	DET
fumecheng-2860	155	26	force	force	NOUN
fumecheng-2860	155	27	-	-	PUNCT
fumecheng-2860	155	28	displacement	displacement	ADJ
fumecheng-2860	155	29	relations	relation	NOUN
fumecheng-2860	155	30	is	be	AUX
fumecheng-2860	155	31	moderate	moderate	ADJ
fumecheng-2860	155	32	and	and	CCONJ
fumecheng-2860	155	33	is	be	AUX
fumecheng-2860	155	34	generally	generally	ADV
fumecheng-2860	155	35	tolerated	tolerate	VERB
fumecheng-2860	155	36	.	.	PUNCT
fumecheng-2860	156	1	fig	fig	NOUN
fumecheng-2860	156	2	.	.	PUNCT
fumecheng-2860	157	1	5	5	NUM
fumecheng-2860	157	2	the	the	DET
fumecheng-2860	157	3	distributions	distribution	NOUN
fumecheng-2860	157	4	of	of	ADP
fumecheng-2860	157	5	normal	normal	ADJ
fumecheng-2860	157	6	pressure	pressure	NOUN
fumecheng-2860	157	7	and	and	CCONJ
fumecheng-2860	157	8	the	the	DET
fumecheng-2860	157	9	absolute	absolute	ADJ
fumecheng-2860	157	10	value	value	NOUN
fumecheng-2860	157	11	of	of	ADP
fumecheng-2860	157	12	tangential	tangential	ADJ
fumecheng-2860	157	13	stress	stress	NOUN
fumecheng-2860	157	14	.	.	PUNCT
fumecheng-2860	158	1	p0	p0	NOUN
fumecheng-2860	158	2	is	be	AUX
fumecheng-2860	158	3	the	the	DET
fumecheng-2860	158	4	pressure	pressure	NOUN
fumecheng-2860	158	5	under	under	ADP
fumecheng-2860	158	6	the	the	DET
fumecheng-2860	158	7	axis	axis	NOUN
fumecheng-2860	158	8	of	of	ADP
fumecheng-2860	158	9	the	the	DET
fumecheng-2860	158	10	indenter	indenter	NOUN
fumecheng-2860	158	11	.	.	PUNCT
fumecheng-2860	159	1	the	the	DET
fumecheng-2860	159	2	dashed	dash	VERB
fumecheng-2860	159	3	line	line	NOUN
fumecheng-2860	159	4	indicates	indicate	VERB
fumecheng-2860	159	5	the	the	DET
fumecheng-2860	159	6	formal	formal	ADJ
fumecheng-2860	159	7	mindlin	mindlin	NOUN
fumecheng-2860	159	8	solution	solution	NOUN
fumecheng-2860	159	9	with	with	ADP
fumecheng-2860	159	10	the	the	DET
fumecheng-2860	159	11	same	same	ADJ
fumecheng-2860	159	12	radius	radius	NOUN
fumecheng-2860	159	13	of	of	ADP
fumecheng-2860	159	14	stick	stick	PROPN
fumecheng-2860	159	15	region	region	NOUN
fumecheng-2860	159	16	.	.	PUNCT
fumecheng-2860	160	1	rm	rm	NOUN
fumecheng-2860	160	2	=	=	NOUN
fumecheng-2860	161	1	1	1	X
fumecheng-2860	161	2	.	.	PUNCT
fumecheng-2860	162	1	a	a	X
fumecheng-2860	162	2	)	)	PUNCT
fumecheng-2860	162	3	q	q	NOUN
fumecheng-2860	162	4	/	/	SYM
fumecheng-2860	162	5	μfz=0.5	μfz=0.5	NUM
fumecheng-2860	162	6	;	;	PUNCT
fumecheng-2860	162	7	b	b	X
fumecheng-2860	162	8	)	)	PUNCT
fumecheng-2860	162	9	q	q	NOUN
fumecheng-2860	162	10	/	/	SYM
fumecheng-2860	162	11	μfz=0.9	μfz=0.9	NUM
fumecheng-2860	162	12	in	in	ADP
fumecheng-2860	162	13	order	order	NOUN
fumecheng-2860	162	14	to	to	PART
fumecheng-2860	162	15	estimate	estimate	VERB
fumecheng-2860	162	16	the	the	DET
fumecheng-2860	162	17	possible	possible	ADJ
fumecheng-2860	162	18	global	global	ADJ
fumecheng-2860	162	19	error	error	NOUN
fumecheng-2860	162	20	,	,	PUNCT
fumecheng-2860	162	21	let	let	VERB
fumecheng-2860	162	22	us	we	PRON
fumecheng-2860	162	23	determine	determine	VERB
fumecheng-2860	162	24	the	the	DET
fumecheng-2860	162	25	integral	integral	ADJ
fumecheng-2860	162	26	discrepancy	discrepancy	NOUN
fumecheng-2860	162	27	between	between	ADP
fumecheng-2860	162	28	the	the	DET
fumecheng-2860	162	29	obtained	obtain	VERB
fumecheng-2860	162	30	stress	stress	NOUN
fumecheng-2860	162	31	distribution	distribution	NOUN
fumecheng-2860	162	32	and	and	CCONJ
fumecheng-2860	162	33	the	the	DET
fumecheng-2860	162	34	cattaneo	cattaneo	ADJ
fumecheng-2860	162	35	-	-	PUNCT
fumecheng-2860	162	36	mindlin	mindlin	NOUN
fumecheng-2860	162	37	distribution	distribution	NOUN
fumecheng-2860	163	1	[	[	X
fumecheng-2860	163	2	3	3	NUM
fumecheng-2860	163	3	]	]	PUNCT
fumecheng-2860	163	4	(	(	PUNCT
fumecheng-2860	163	5	which	which	PRON
fumecheng-2860	163	6	fulfils	fulfil	VERB
fumecheng-2860	163	7	the	the	DET
fumecheng-2860	163	8	stick	stick	NOUN
fumecheng-2860	163	9	and	and	CCONJ
fumecheng-2860	163	10	slip	slip	VERB
fumecheng-2860	163	11	conditions	condition	NOUN
fumecheng-2860	163	12	):	):	PUNCT
fumecheng-2860	164	1	mdr	mdr	PROPN
fumecheng-2860	164	2	cm	cm	NOUN
fumecheng-2860	164	3	cm	cm	NOUN
fumecheng-2860	164	4	0	0	NUM
fumecheng-2860	164	5	0	0	NUM
fumecheng-2860	164	6	0	0	NUM
fumecheng-2860	164	7	100	100	NUM
fumecheng-2860	164	8	%	%	NOUN
fumecheng-2860	164	9	2	2	NUM
fumecheng-2860	164	10	(	(	PUNCT
fumecheng-2860	164	11	)	)	PUNCT
fumecheng-2860	164	12	rd	rd	NOUN
fumecheng-2860	164	13	2	2	NUM
fumecheng-2860	164	14	(	(	PUNCT
fumecheng-2860	164	15	)	)	PUNCT
fumecheng-2860	164	16	rd	rd	NOUN
fumecheng-2860	164	17	/	/	SYM
fumecheng-2860	164	18	2	2	PROPN
fumecheng-2860	164	19	(	(	PUNCT
fumecheng-2860	164	20	)	)	PUNCT
fumecheng-2860	164	21	rd	rd	NOUN
fumecheng-2860	164	22	a	a	DET
fumecheng-2860	164	23	a	a	DET
fumecheng-2860	164	24	a	a	DET
fumecheng-2860	164	25	r	r	NOUN
fumecheng-2860	164	26	r	r	NOUN
fumecheng-2860	164	27	r	r	NOUN
fumecheng-2860	164	28	r	r	NOUN
fumecheng-2860	164	29	r	r	NOUN
fumecheng-2860	164	30	r	r	NOUN
fumecheng-2860	165	1			ADJ
fumecheng-2860	165	2			NUM
fumecheng-2860	165	3			ADJ
fumecheng-2860	165	4			NOUN
fumecheng-2860	165	5			NOUN
fumecheng-2860	165	6			PROPN
fumecheng-2860	165	7			NOUN
fumecheng-2860	165	8			NOUN
fumecheng-2860	165	9			NOUN
fumecheng-2860	165	10			X
fumecheng-2860	165	11			X
fumecheng-2860	165	12	,	,	PUNCT
fumecheng-2860	165	13	(	(	PUNCT
fumecheng-2860	165	14	27	27	NUM
fumecheng-2860	165	15	)	)	PUNCT
fumecheng-2860	165	16	where	where	SCONJ
fumecheng-2860	165	17	τcm(r	τcm(r	NOUN
fumecheng-2860	165	18	)	)	PUNCT
fumecheng-2860	165	19	corresponds	correspond	VERB
fumecheng-2860	165	20	to	to	ADP
fumecheng-2860	165	21	the	the	DET
fumecheng-2860	165	22	cattaneo	cattaneo	NOUN
fumecheng-2860	165	23	-	-	PUNCT
fumecheng-2860	165	24	mindlin	mindlin	NOUN
fumecheng-2860	165	25	solution	solution	NOUN
fumecheng-2860	165	26	.	.	PUNCT
fumecheng-2860	166	1	this	this	DET
fumecheng-2860	166	2	discrepancy	discrepancy	NOUN
fumecheng-2860	166	3	is	be	AUX
fumecheng-2860	166	4	shown	show	VERB
fumecheng-2860	166	5	in	in	ADP
fumecheng-2860	166	6	fig	fig	NOUN
fumecheng-2860	166	7	.	.	PUNCT
fumecheng-2860	167	1	6	6	NUM
fumecheng-2860	167	2	.	.	PUNCT
fumecheng-2860	167	3	the	the	DET
fumecheng-2860	167	4	integral	integral	ADJ
fumecheng-2860	167	5	difference	difference	NOUN
fumecheng-2860	167	6	between	between	ADP
fumecheng-2860	167	7	tangential	tangential	ADJ
fumecheng-2860	167	8	stresses	stress	NOUN
fumecheng-2860	167	9	,	,	PUNCT
fumecheng-2860	167	10	predicted	predict	VERB
fumecheng-2860	167	11	by	by	ADP
fumecheng-2860	167	12	the	the	DET
fumecheng-2860	167	13	theory	theory	NOUN
fumecheng-2860	167	14	of	of	ADP
fumecheng-2860	167	15	cattaneo	cattaneo	PROPN
fumecheng-2860	167	16	-	-	PUNCT
fumecheng-2860	167	17	mindlin	mindlin	NOUN
fumecheng-2860	167	18	,	,	PUNCT
fumecheng-2860	167	19	and	and	CCONJ
fumecheng-2860	167	20	the	the	DET
fumecheng-2860	167	21	mdr	mdr	PROPN
fumecheng-2860	167	22	results	result	NOUN
fumecheng-2860	167	23	,	,	PUNCT
fumecheng-2860	167	24	is	be	AUX
fumecheng-2860	167	25	about	about	ADV
fumecheng-2860	167	26	two	two	NUM
fumecheng-2860	167	27	percent	percent	NOUN
fumecheng-2860	167	28	for	for	ADP
fumecheng-2860	167	29	low	low	ADJ
fumecheng-2860	167	30	values	value	NOUN
fumecheng-2860	167	31	of	of	ADP
fumecheng-2860	167	32	q	q	NOUN
fumecheng-2860	167	33	/	/	SYM
fumecheng-2860	167	34	μfz	μfz	PROPN
fumecheng-2860	167	35	and	and	CCONJ
fumecheng-2860	167	36	rm	rm	NOUN
fumecheng-2860	167	37	.	.	PUNCT
fumecheng-2860	168	1	this	this	PRON
fumecheng-2860	168	2	means	mean	VERB
fumecheng-2860	168	3	that	that	SCONJ
fumecheng-2860	168	4	the	the	DET
fumecheng-2860	168	5	above	above	PROPN
fumecheng-2860	168	6	mdr	mdr	PROPN
fumecheng-2860	168	7	theory	theory	NOUN
fumecheng-2860	168	8	has	have	VERB
fumecheng-2860	168	9	a	a	DET
fumecheng-2860	168	10	good	good	ADJ
fumecheng-2860	168	11	accuracy	accuracy	NOUN
fumecheng-2860	168	12	at	at	ADP
fumecheng-2860	168	13	least	least	ADJ
fumecheng-2860	168	14	for	for	ADP
fumecheng-2860	168	15	oscillations	oscillation	NOUN
fumecheng-2860	168	16	with	with	ADP
fumecheng-2860	168	17	small	small	ADJ
fumecheng-2860	168	18	amplitude	amplitude	NOUN
fumecheng-2860	168	19	comparable	comparable	ADJ
fumecheng-2860	168	20	to	to	ADP
fumecheng-2860	168	21	the	the	DET
fumecheng-2860	168	22	full	full	ADJ
fumecheng-2860	168	23	slip	slip	NOUN
fumecheng-2860	168	24	displacement	displacement	NOUN
fumecheng-2860	168	25	.	.	PUNCT
fumecheng-2860	169	1	simulation	simulation	NOUN
fumecheng-2860	169	2	of	of	ADP
fumecheng-2860	169	3	frictional	frictional	ADJ
fumecheng-2860	169	4	dissipation	dissipation	NOUN
fumecheng-2860	169	5	under	under	ADP
fumecheng-2860	169	6	biaxial	biaxial	ADJ
fumecheng-2860	169	7	tangential	tangential	ADJ
fumecheng-2860	169	8	loading	loading	NOUN
fumecheng-2860	169	9	...	...	PUNCT
fumecheng-2860	169	10	303	303	NUM
fumecheng-2860	169	11	further	far	ADV
fumecheng-2860	169	12	,	,	PUNCT
fumecheng-2860	169	13	let	let	VERB
fumecheng-2860	169	14	us	we	PRON
fumecheng-2860	169	15	compare	compare	VERB
fumecheng-2860	169	16	the	the	DET
fumecheng-2860	169	17	results	result	NOUN
fumecheng-2860	169	18	of	of	ADP
fumecheng-2860	169	19	mdr	mdr	PROPN
fumecheng-2860	169	20	simulation	simulation	PROPN
fumecheng-2860	169	21	with	with	ADP
fumecheng-2860	169	22	the	the	DET
fumecheng-2860	169	23	full	full	ADJ
fumecheng-2860	169	24	three	three	NUM
fumecheng-2860	169	25	-	-	PUNCT
fumecheng-2860	169	26	dimensional	dimensional	ADJ
fumecheng-2860	169	27	calculations	calculation	NOUN
fumecheng-2860	169	28	.	.	PUNCT
fumecheng-2860	170	1	the	the	DET
fumecheng-2860	170	2	tangential	tangential	ADJ
fumecheng-2860	170	3	stresses	stress	NOUN
fumecheng-2860	170	4	are	be	AUX
fumecheng-2860	170	5	calculated	calculate	VERB
fumecheng-2860	170	6	using	use	VERB
fumecheng-2860	170	7	mdr	mdr	PROPN
fumecheng-2860	170	8	as	as	SCONJ
fumecheng-2860	170	9	described	describe	VERB
fumecheng-2860	170	10	above	above	ADV
fumecheng-2860	170	11	for	for	ADP
fumecheng-2860	170	12	the	the	DET
fumecheng-2860	170	13	following	follow	VERB
fumecheng-2860	170	14	set	set	NOUN
fumecheng-2860	170	15	of	of	ADP
fumecheng-2860	170	16	parameters	parameter	NOUN
fumecheng-2860	170	17	:	:	PUNCT
fumecheng-2860	170	18	rm	rm	NOUN
fumecheng-2860	170	19	=	=	SYM
fumecheng-2860	170	20	1	1	NUM
fumecheng-2860	170	21	,	,	PUNCT
fumecheng-2860	170	22	q	q	NOUN
fumecheng-2860	170	23	=	=	NOUN
fumecheng-2860	170	24	0.9	0.9	NUM
fumecheng-2860	170	25	,	,	PUNCT
fumecheng-2860	170	26	which	which	PRON
fumecheng-2860	170	27	correspond	correspond	VERB
fumecheng-2860	170	28	to	to	ADP
fumecheng-2860	170	29	the	the	DET
fumecheng-2860	170	30	same	same	ADJ
fumecheng-2860	170	31	values	value	NOUN
fumecheng-2860	170	32	as	as	SCONJ
fumecheng-2860	170	33	used	use	VERB
fumecheng-2860	170	34	in	in	ADP
fumecheng-2860	170	35	ref	ref	NOUN
fumecheng-2860	170	36	.	.	PUNCT
fumecheng-2860	171	1	[	[	X
fumecheng-2860	171	2	10	10	NUM
fumecheng-2860	171	3	]	]	PUNCT
fumecheng-2860	171	4	.	.	PUNCT
fumecheng-2860	172	1	comparison	comparison	NOUN
fumecheng-2860	172	2	of	of	ADP
fumecheng-2860	172	3	the	the	DET
fumecheng-2860	172	4	mdr	mdr	PROPN
fumecheng-2860	172	5	results	result	NOUN
fumecheng-2860	172	6	with	with	ADP
fumecheng-2860	172	7	results	result	NOUN
fumecheng-2860	172	8	of	of	ADP
fumecheng-2860	172	9	full	full	ADJ
fumecheng-2860	172	10	three	three	NUM
fumecheng-2860	172	11	-	-	PUNCT
fumecheng-2860	172	12	dimensional	dimensional	ADJ
fumecheng-2860	172	13	simulations	simulation	NOUN
fumecheng-2860	172	14	is	be	AUX
fumecheng-2860	172	15	presented	present	VERB
fumecheng-2860	172	16	in	in	ADP
fumecheng-2860	172	17	fig	fig	NOUN
fumecheng-2860	172	18	.	.	PUNCT
fumecheng-2860	173	1	7	7	X
fumecheng-2860	173	2	.	.	X
fumecheng-2860	173	3	in	in	ADP
fumecheng-2860	173	4	fig	fig	NOUN
fumecheng-2860	173	5	.	.	PUNCT
fumecheng-2860	174	1	7	7	NUM
fumecheng-2860	174	2	,	,	PUNCT
fumecheng-2860	174	3	on	on	ADP
fumecheng-2860	174	4	the	the	DET
fumecheng-2860	174	5	left	left	ADJ
fumecheng-2860	174	6	hand	hand	NOUN
fumecheng-2860	174	7	side	side	NOUN
fumecheng-2860	174	8	,	,	PUNCT
fumecheng-2860	174	9	the	the	DET
fumecheng-2860	174	10	stress	stress	NOUN
fumecheng-2860	174	11	-	-	PUNCT
fumecheng-2860	174	12	field	field	NOUN
fumecheng-2860	174	13	simulated	simulate	VERB
fumecheng-2860	174	14	by	by	ADP
fumecheng-2860	174	15	the	the	DET
fumecheng-2860	174	16	mdr	mdr	PROPN
fumecheng-2860	174	17	is	be	AUX
fumecheng-2860	174	18	presented	present	VERB
fumecheng-2860	174	19	and	and	CCONJ
fumecheng-2860	174	20	so	so	ADV
fumecheng-2860	174	21	is	be	AUX
fumecheng-2860	174	22	,	,	PUNCT
fumecheng-2860	174	23	on	on	ADP
fumecheng-2860	174	24	the	the	DET
fumecheng-2860	174	25	right	right	ADJ
fumecheng-2860	174	26	hand	hand	NOUN
fumecheng-2860	174	27	side	side	NOUN
fumecheng-2860	174	28	,	,	PUNCT
fumecheng-2860	174	29	the	the	DET
fumecheng-2860	174	30	stress	stress	NOUN
fumecheng-2860	174	31	field	field	NOUN
fumecheng-2860	174	32	from	from	ADP
fumecheng-2860	174	33	the	the	DET
fumecheng-2860	174	34	three	three	NUM
fumecheng-2860	174	35	-	-	PUNCT
fumecheng-2860	174	36	dimensional	dimensional	ADJ
fumecheng-2860	174	37	simulation	simulation	NOUN
fumecheng-2860	174	38	[	[	X
fumecheng-2860	174	39	10	10	NUM
fumecheng-2860	174	40	]	]	PUNCT
fumecheng-2860	174	41	.	.	PUNCT
fumecheng-2860	175	1	while	while	SCONJ
fumecheng-2860	175	2	both	both	DET
fumecheng-2860	175	3	results	result	NOUN
fumecheng-2860	175	4	are	be	AUX
fumecheng-2860	175	5	in	in	ADP
fumecheng-2860	175	6	a	a	DET
fumecheng-2860	175	7	good	good	ADJ
fumecheng-2860	175	8	qualitative	qualitative	ADJ
fumecheng-2860	175	9	agreement	agreement	NOUN
fumecheng-2860	175	10	,	,	PUNCT
fumecheng-2860	175	11	one	one	PRON
fumecheng-2860	175	12	can	can	AUX
fumecheng-2860	175	13	also	also	ADV
fumecheng-2860	175	14	see	see	VERB
fumecheng-2860	175	15	some	some	DET
fumecheng-2860	175	16	differences	difference	NOUN
fumecheng-2860	175	17	.	.	PUNCT
fumecheng-2860	176	1	firstly	firstly	ADV
fumecheng-2860	176	2	,	,	PUNCT
fumecheng-2860	176	3	the	the	DET
fumecheng-2860	176	4	stick	stick	NOUN
fumecheng-2860	176	5	radius	radius	NOUN
fumecheng-2860	176	6	in	in	ADP
fumecheng-2860	176	7	the	the	DET
fumecheng-2860	176	8	mdr	mdr	PROPN
fumecheng-2860	176	9	results	result	NOUN
fumecheng-2860	176	10	does	do	AUX
fumecheng-2860	176	11	not	not	PART
fumecheng-2860	176	12	decrease	decrease	VERB
fumecheng-2860	176	13	after	after	ADP
fumecheng-2860	176	14	the	the	DET
fumecheng-2860	176	15	start	start	NOUN
fumecheng-2860	176	16	of	of	ADP
fumecheng-2860	176	17	the	the	DET
fumecheng-2860	176	18	in	in	ADP
fumecheng-2860	176	19	-	-	PUNCT
fumecheng-2860	176	20	plane	plane	NOUN
fumecheng-2860	176	21	rotation	rotation	NOUN
fumecheng-2860	176	22	,	,	PUNCT
fumecheng-2860	176	23	which	which	PRON
fumecheng-2860	176	24	can	can	AUX
fumecheng-2860	176	25	be	be	AUX
fumecheng-2860	176	26	connected	connect	VERB
fumecheng-2860	176	27	to	to	ADP
fumecheng-2860	176	28	the	the	DET
fumecheng-2860	176	29	application	application	NOUN
fumecheng-2860	176	30	of	of	ADP
fumecheng-2860	176	31	the	the	DET
fumecheng-2860	176	32	tangential	tangential	ADJ
fumecheng-2860	176	33	displacement	displacement	NOUN
fumecheng-2860	176	34	instead	instead	ADV
fumecheng-2860	176	35	of	of	ADP
fumecheng-2860	176	36	tangential	tangential	ADJ
fumecheng-2860	176	37	forces	force	NOUN
fumecheng-2860	176	38	in	in	ADP
fumecheng-2860	176	39	3d	3d	PROPN
fumecheng-2860	176	40	simulation	simulation	NOUN
fumecheng-2860	176	41	.	.	PUNCT
fumecheng-2860	177	1	secondly	secondly	ADV
fumecheng-2860	177	2	,	,	PUNCT
fumecheng-2860	177	3	the	the	DET
fumecheng-2860	177	4	tangential	tangential	ADJ
fumecheng-2860	177	5	stresses	stress	NOUN
fumecheng-2860	177	6	in	in	ADP
fumecheng-2860	177	7	the	the	DET
fumecheng-2860	177	8	stick	stick	NOUN
fumecheng-2860	177	9	area	area	NOUN
fumecheng-2860	177	10	in	in	ADP
fumecheng-2860	177	11	the	the	DET
fumecheng-2860	177	12	mdr	mdr	PROPN
fumecheng-2860	177	13	solution	solution	NOUN
fumecheng-2860	177	14	are	be	AUX
fumecheng-2860	177	15	higher	high	ADJ
fumecheng-2860	177	16	than	than	ADP
fumecheng-2860	177	17	those	those	PRON
fumecheng-2860	177	18	in	in	ADP
fumecheng-2860	177	19	the	the	DET
fumecheng-2860	177	20	full	full	ADJ
fumecheng-2860	177	21	3d	3d	PROPN
fumecheng-2860	177	22	calculation	calculation	NOUN
fumecheng-2860	177	23	.	.	PUNCT
fumecheng-2860	178	1	however	however	ADV
fumecheng-2860	178	2	,	,	PUNCT
fumecheng-2860	178	3	the	the	DET
fumecheng-2860	178	4	mentioned	mention	VERB
fumecheng-2860	178	5	discrepancies	discrepancy	NOUN
fumecheng-2860	178	6	between	between	ADP
fumecheng-2860	178	7	the	the	DET
fumecheng-2860	178	8	mdr	mdr	PROPN
fumecheng-2860	178	9	results	result	NOUN
fumecheng-2860	178	10	and	and	CCONJ
fumecheng-2860	178	11	full	full	ADJ
fumecheng-2860	178	12	3d	3d	PROPN
fumecheng-2860	178	13	calculations	calculation	NOUN
fumecheng-2860	178	14	are	be	AUX
fumecheng-2860	178	15	moderate	moderate	ADJ
fumecheng-2860	178	16	.	.	PUNCT
fumecheng-2860	179	1	we	we	PRON
fumecheng-2860	179	2	can	can	AUX
fumecheng-2860	179	3	conclude	conclude	VERB
fumecheng-2860	179	4	that	that	SCONJ
fumecheng-2860	179	5	the	the	DET
fumecheng-2860	179	6	mdr	mdr	PROPN
fumecheng-2860	179	7	can	can	AUX
fumecheng-2860	179	8	be	be	AUX
fumecheng-2860	179	9	also	also	ADV
fumecheng-2860	179	10	used	use	VERB
fumecheng-2860	179	11	with	with	ADP
fumecheng-2860	179	12	“	"	PUNCT
fumecheng-2860	179	13	engineering	engineering	NOUN
fumecheng-2860	179	14	accuracy	accuracy	NOUN
fumecheng-2860	179	15	”	"	PUNCT
fumecheng-2860	179	16	for	for	ADP
fumecheng-2860	179	17	contact	contact	NOUN
fumecheng-2860	179	18	problems	problem	NOUN
fumecheng-2860	179	19	with	with	ADP
fumecheng-2860	179	20	bi	bi	ADJ
fumecheng-2860	179	21	-	-	ADJ
fumecheng-2860	179	22	axial	axial	ADJ
fumecheng-2860	179	23	in	in	ADP
fumecheng-2860	179	24	-	-	PUNCT
fumecheng-2860	179	25	plane	plane	NOUN
fumecheng-2860	179	26	loading	loading	NOUN
fumecheng-2860	179	27	.	.	PUNCT
fumecheng-2860	180	1	fig	fig	NOUN
fumecheng-2860	180	2	.	.	PUNCT
fumecheng-2860	181	1	6	6	NUM
fumecheng-2860	181	2	the	the	DET
fumecheng-2860	181	3	integral	integral	ADJ
fumecheng-2860	181	4	difference	difference	NOUN
fumecheng-2860	181	5	(	(	PUNCT
fumecheng-2860	181	6	27	27	NUM
fumecheng-2860	181	7	)	)	PUNCT
fumecheng-2860	181	8	between	between	ADP
fumecheng-2860	181	9	tangential	tangential	ADJ
fumecheng-2860	181	10	stresses	stress	NOUN
fumecheng-2860	181	11	,	,	PUNCT
fumecheng-2860	181	12	predicted	predict	VERB
fumecheng-2860	181	13	by	by	ADP
fumecheng-2860	181	14	the	the	DET
fumecheng-2860	181	15	cattaneo	cattaneo	PROPN
fumecheng-2860	181	16	-	-	PUNCT
fumecheng-2860	181	17	mindlin	mindlin	PROPN
fumecheng-2860	181	18	theory	theory	NOUN
fumecheng-2860	181	19	,	,	PUNCT
fumecheng-2860	181	20	and	and	CCONJ
fumecheng-2860	181	21	the	the	DET
fumecheng-2860	181	22	mdr	mdr	PROPN
fumecheng-2860	181	23	results	result	VERB
fumecheng-2860	181	24	5	5	NUM
fumecheng-2860	181	25	.	.	X
fumecheng-2860	181	26	numerical	numerical	PROPN
fumecheng-2860	181	27	simulation	simulation	PROPN
fumecheng-2860	181	28	of	of	ADP
fumecheng-2860	181	29	dissipation	dissipation	NOUN
fumecheng-2860	181	30	under	under	ADP
fumecheng-2860	181	31	non	non	ADJ
fumecheng-2860	181	32	-	-	ADJ
fumecheng-2860	181	33	circular	circular	ADJ
fumecheng-2860	181	34	motion	motion	NOUN
fumecheng-2860	181	35	in	in	ADP
fumecheng-2860	181	36	this	this	DET
fumecheng-2860	181	37	paragraph	paragraph	NOUN
fumecheng-2860	181	38	we	we	PRON
fumecheng-2860	181	39	apply	apply	VERB
fumecheng-2860	181	40	the	the	DET
fumecheng-2860	181	41	mdr	mdr	NOUN
fumecheng-2860	181	42	within	within	ADP
fumecheng-2860	181	43	its	its	PRON
fumecheng-2860	181	44	range	range	NOUN
fumecheng-2860	181	45	of	of	ADP
fumecheng-2860	181	46	accuracy	accuracy	NOUN
fumecheng-2860	181	47	for	for	ADP
fumecheng-2860	181	48	studying	study	VERB
fumecheng-2860	181	49	energy	energy	NOUN
fumecheng-2860	181	50	dissipation	dissipation	NOUN
fumecheng-2860	181	51	in	in	ADP
fumecheng-2860	181	52	a	a	DET
fumecheng-2860	181	53	contact	contact	NOUN
fumecheng-2860	181	54	subject	subject	NOUN
fumecheng-2860	181	55	to	to	ADP
fumecheng-2860	181	56	biaxial	biaxial	ADJ
fumecheng-2860	181	57	tangential	tangential	ADJ
fumecheng-2860	181	58	loading	loading	NOUN
fumecheng-2860	181	59	with	with	ADP
fumecheng-2860	181	60	different	different	ADJ
fumecheng-2860	181	61	oscillation	oscillation	NOUN
fumecheng-2860	181	62	amplitudes	amplitude	NOUN
fumecheng-2860	181	63	in	in	ADP
fumecheng-2860	181	64	two	two	NUM
fumecheng-2860	181	65	perpendicular	perpendicular	ADJ
fumecheng-2860	181	66	directions	direction	NOUN
fumecheng-2860	181	67	.	.	PUNCT
fumecheng-2860	182	1	in	in	ADP
fumecheng-2860	182	2	order	order	NOUN
fumecheng-2860	182	3	to	to	PART
fumecheng-2860	182	4	normalize	normalize	VERB
fumecheng-2860	182	5	values	value	NOUN
fumecheng-2860	182	6	of	of	ADP
fumecheng-2860	182	7	dissipated	dissipate	VERB
fumecheng-2860	182	8	energy	energy	NOUN
fumecheng-2860	182	9	we	we	PRON
fumecheng-2860	182	10	use	use	VERB
fumecheng-2860	182	11	the	the	DET
fumecheng-2860	182	12	solution	solution	NOUN
fumecheng-2860	182	13	of	of	ADP
fumecheng-2860	182	14	mindlin	mindlin	NOUN
fumecheng-2860	183	1	[	[	X
fumecheng-2860	183	2	3	3	NUM
fumecheng-2860	183	3	]	]	PUNCT
fumecheng-2860	183	4	for	for	ADP
fumecheng-2860	183	5	friction	friction	NOUN
fumecheng-2860	183	6	energy	energy	NOUN
fumecheng-2860	183	7	dissipation	dissipation	NOUN
fumecheng-2860	183	8	during	during	ADP
fumecheng-2860	183	9	one	one	NUM
fumecheng-2860	183	10	cycle	cycle	NOUN
fumecheng-2860	183	11	of	of	ADP
fumecheng-2860	183	12	a	a	DET
fumecheng-2860	183	13	uniaxial	uniaxial	ADJ
fumecheng-2860	183	14	tangential	tangential	ADJ
fumecheng-2860	183	15	loading	loading	NOUN
fumecheng-2860	183	16	:	:	PUNCT
fumecheng-2860	183	17	2	2	NUM
fumecheng-2860	183	18	5	5	NUM
fumecheng-2860	183	19	2	2	NUM
fumecheng-2860	183	20	3	3	NUM
fumecheng-2860	183	21	3	3	NUM
fumecheng-2860	183	22	*	*	SYM
fumecheng-2860	183	23	2	2	NUM
fumecheng-2860	183	24	0	0	NUM
fumecheng-2860	183	25	9	9	NUM
fumecheng-2860	183	26	2	2	NUM
fumecheng-2860	183	27	5	5	NUM
fumecheng-2860	183	28	1	1	NUM
fumecheng-2860	183	29	1	1	NUM
fumecheng-2860	183	30	1	1	NUM
fumecheng-2860	183	31	1	1	NUM
fumecheng-2860	183	32	10	10	NUM
fumecheng-2860	183	33	6	6	NUM
fumecheng-2860	183	34	m	m	NOUN
fumecheng-2860	183	35	z	z	NOUN
fumecheng-2860	183	36	c	c	NOUN
fumecheng-2860	183	37	z	z	NOUN
fumecheng-2860	184	1	z	z	NOUN
fumecheng-2860	184	2	z	z	NOUN
fumecheng-2860	184	3	r	r	NOUN
fumecheng-2860	184	4	f	f	X
fumecheng-2860	184	5	q	q	NOUN
fumecheng-2860	184	6	q	q	X
fumecheng-2860	184	7	q	q	PROPN
fumecheng-2860	185	1	w	w	PROPN
fumecheng-2860	185	2	w	w	PROPN
fumecheng-2860	185	3	a	a	DET
fumecheng-2860	185	4	f	f	X
fumecheng-2860	186	1	f	f	PROPN
fumecheng-2860	186	2	fg	fg	PROPN
fumecheng-2860	186	3			PROPN
fumecheng-2860	186	4			ADP
fumecheng-2860	186	5			VERB
fumecheng-2860	187	1			PROPN
fumecheng-2860	187	2			PROPN
fumecheng-2860	187	3			NOUN
fumecheng-2860	187	4			NOUN
fumecheng-2860	187	5			NUM
fumecheng-2860	187	6			PROPN
fumecheng-2860	187	7			PROPN
fumecheng-2860	188	1			PROPN
fumecheng-2860	188	2			PROPN
fumecheng-2860	188	3			PROPN
fumecheng-2860	188	4			PROPN
fumecheng-2860	188	5			PART
fumecheng-2860	188	6			NOUN
fumecheng-2860	188	7			PUNCT
fumecheng-2860	189	1			PROPN
fumecheng-2860	189	2			PROPN
fumecheng-2860	189	3			PROPN
fumecheng-2860	189	4			NOUN
fumecheng-2860	189	5			NOUN
fumecheng-2860	189	6			NOUN
fumecheng-2860	189	7			NOUN
fumecheng-2860	189	8			NOUN
fumecheng-2860	189	9			ADJ
fumecheng-2860	189	10			VERB
fumecheng-2860	189	11			NOUN
fumecheng-2860	189	12			ADJ
fumecheng-2860	189	13			X
fumecheng-2860	189	14	.	.	PUNCT
fumecheng-2860	190	1	(	(	PUNCT
fumecheng-2860	190	2	28	28	NUM
fumecheng-2860	190	3	)	)	PUNCT
fumecheng-2860	190	4	304	304	NUM
fumecheng-2860	190	5	a.v	a.v	PROPN
fumecheng-2860	190	6	.	.	PROPN
fumecheng-2860	190	7	dimaki	dimaki	PROPN
fumecheng-2860	190	8	,	,	PUNCT
fumecheng-2860	190	9	r.	r.	PROPN
fumecheng-2860	190	10	pohrt	pohrt	PROPN
fumecheng-2860	190	11	,	,	PUNCT
fumecheng-2860	190	12	v.l	v.l	PROPN
fumecheng-2860	190	13	.	.	PROPN
fumecheng-2860	190	14	popov	popov	PROPN
fumecheng-2860	190	15	in	in	ADP
fumecheng-2860	190	16	the	the	DET
fumecheng-2860	190	17	performed	perform	VERB
fumecheng-2860	190	18	calculations	calculation	NOUN
fumecheng-2860	190	19	we	we	PRON
fumecheng-2860	190	20	have	have	AUX
fumecheng-2860	190	21	varied	vary	VERB
fumecheng-2860	190	22	the	the	DET
fumecheng-2860	190	23	governing	govern	VERB
fumecheng-2860	190	24	parameters	parameter	NOUN
fumecheng-2860	190	25	(	(	PUNCT
fumecheng-2860	190	26	24	24	NUM
fumecheng-2860	190	27	)	)	PUNCT
fumecheng-2860	190	28	in	in	ADP
fumecheng-2860	190	29	a	a	DET
fumecheng-2860	190	30	wide	wide	ADJ
fumecheng-2860	190	31	range	range	NOUN
fumecheng-2860	190	32	of	of	ADP
fumecheng-2860	190	33	values	value	NOUN
fumecheng-2860	190	34	.	.	PUNCT
fumecheng-2860	191	1	the	the	DET
fumecheng-2860	191	2	results	result	NOUN
fumecheng-2860	191	3	of	of	ADP
fumecheng-2860	191	4	simulation	simulation	NOUN
fumecheng-2860	191	5	,	,	PUNCT
fumecheng-2860	191	6	accompanied	accompany	VERB
fumecheng-2860	191	7	with	with	ADP
fumecheng-2860	191	8	the	the	DET
fumecheng-2860	191	9	corresponding	corresponding	ADJ
fumecheng-2860	191	10	results	result	NOUN
fumecheng-2860	191	11	of	of	ADP
fumecheng-2860	191	12	the	the	DET
fumecheng-2860	191	13	full	full	ADJ
fumecheng-2860	191	14	3d	3d	PROPN
fumecheng-2860	191	15	simulations	simulation	NOUN
fumecheng-2860	191	16	,	,	PUNCT
fumecheng-2860	191	17	given	give	VERB
fumecheng-2860	191	18	in	in	ADP
fumecheng-2860	191	19	ref	ref	NOUN
fumecheng-2860	191	20	.	.	PUNCT
fumecheng-2860	192	1	[	[	X
fumecheng-2860	192	2	10	10	NUM
fumecheng-2860	192	3	]	]	PUNCT
fumecheng-2860	192	4	,	,	PUNCT
fumecheng-2860	192	5	are	be	AUX
fumecheng-2860	192	6	shown	show	VERB
fumecheng-2860	192	7	in	in	ADP
fumecheng-2860	192	8	fig	fig	NOUN
fumecheng-2860	192	9	.	.	PUNCT
fumecheng-2860	193	1	8a	8a	NUM
fumecheng-2860	193	2	.	.	PUNCT
fumecheng-2860	194	1	it	it	PRON
fumecheng-2860	194	2	can	can	AUX
fumecheng-2860	194	3	be	be	AUX
fumecheng-2860	194	4	seen	see	VERB
fumecheng-2860	194	5	that	that	SCONJ
fumecheng-2860	194	6	the	the	DET
fumecheng-2860	194	7	mdr	mdr	PROPN
fumecheng-2860	194	8	results	result	NOUN
fumecheng-2860	194	9	are	be	AUX
fumecheng-2860	194	10	in	in	ADP
fumecheng-2860	194	11	a	a	DET
fumecheng-2860	194	12	good	good	ADJ
fumecheng-2860	194	13	agreement	agreement	NOUN
fumecheng-2860	194	14	with	with	ADP
fumecheng-2860	194	15	the	the	DET
fumecheng-2860	194	16	results	result	NOUN
fumecheng-2860	194	17	of	of	ADP
fumecheng-2860	194	18	the	the	DET
fumecheng-2860	194	19	full	full	ADJ
fumecheng-2860	194	20	3d	3d	PROPN
fumecheng-2860	194	21	simulations	simulation	NOUN
fumecheng-2860	194	22	,	,	PUNCT
fumecheng-2860	194	23	except	except	SCONJ
fumecheng-2860	194	24	for	for	ADP
fumecheng-2860	194	25	the	the	DET
fumecheng-2860	194	26	curve	curve	NOUN
fumecheng-2860	194	27	for	for	ADP
fumecheng-2860	194	28	rm	rm	NOUN
fumecheng-2860	194	29	=	=	SYM
fumecheng-2860	194	30	1	1	NUM
fumecheng-2860	194	31	which	which	PRON
fumecheng-2860	194	32	also	also	ADV
fumecheng-2860	194	33	is	be	AUX
fumecheng-2860	194	34	in	in	ADP
fumecheng-2860	194	35	a	a	DET
fumecheng-2860	194	36	qualitative	qualitative	ADJ
fumecheng-2860	194	37	agreement	agreement	NOUN
fumecheng-2860	194	38	but	but	CCONJ
fumecheng-2860	194	39	shows	show	VERB
fumecheng-2860	194	40	distinctive	distinctive	ADJ
fumecheng-2860	194	41	quantitative	quantitative	ADJ
fumecheng-2860	194	42	differences	difference	NOUN
fumecheng-2860	194	43	.	.	PUNCT
fumecheng-2860	195	1	fig.7	fig.7	ADV
fumecheng-2860	195	2	the	the	DET
fumecheng-2860	195	3	distributions	distribution	NOUN
fumecheng-2860	195	4	of	of	ADP
fumecheng-2860	195	5	tangential	tangential	ADJ
fumecheng-2860	195	6	stresses	stress	NOUN
fumecheng-2860	195	7	in	in	ADP
fumecheng-2860	195	8	the	the	DET
fumecheng-2860	195	9	contact	contact	NOUN
fumecheng-2860	195	10	area	area	NOUN
fumecheng-2860	195	11	the	the	DET
fumecheng-2860	195	12	results	result	NOUN
fumecheng-2860	195	13	of	of	ADP
fumecheng-2860	195	14	the	the	DET
fumecheng-2860	195	15	mdr	mdr	PROPN
fumecheng-2860	195	16	simulation	simulation	NOUN
fumecheng-2860	195	17	in	in	ADP
fumecheng-2860	195	18	the	the	DET
fumecheng-2860	195	19	left	left	ADJ
fumecheng-2860	195	20	column	column	NOUN
fumecheng-2860	195	21	,	,	PUNCT
fumecheng-2860	195	22	the	the	DET
fumecheng-2860	195	23	results	result	NOUN
fumecheng-2860	195	24	of	of	ADP
fumecheng-2860	195	25	the	the	DET
fumecheng-2860	195	26	full	full	ADJ
fumecheng-2860	195	27	3d	3d	PROPN
fumecheng-2860	195	28	simulation	simulation	NOUN
fumecheng-2860	195	29	,	,	PUNCT
fumecheng-2860	195	30	from	from	ADP
fumecheng-2860	195	31	ref	ref	NOUN
fumecheng-2860	195	32	.	.	PUNCT
fumecheng-2860	196	1	[	[	X
fumecheng-2860	196	2	10	10	NUM
fumecheng-2860	196	3	]	]	PUNCT
fumecheng-2860	196	4	,	,	PUNCT
fumecheng-2860	196	5	in	in	ADP
fumecheng-2860	196	6	the	the	DET
fumecheng-2860	196	7	right	right	ADJ
fumecheng-2860	196	8	column	column	NOUN
fumecheng-2860	196	9	:	:	PUNCT
fumecheng-2860	196	10	a	a	X
fumecheng-2860	196	11	)	)	PUNCT
fumecheng-2860	196	12	after	after	ADP
fumecheng-2860	196	13	the	the	DET
fumecheng-2860	196	14	initial	initial	ADJ
fumecheng-2860	196	15	displacement	displacement	NOUN
fumecheng-2860	196	16	;	;	PUNCT
fumecheng-2860	196	17	b	b	X
fumecheng-2860	196	18	)	)	PUNCT
fumecheng-2860	196	19	after	after	ADP
fumecheng-2860	196	20	one	one	NUM
fumecheng-2860	196	21	revolution	revolution	NOUN
fumecheng-2860	196	22	;	;	PUNCT
fumecheng-2860	196	23	c	c	X
fumecheng-2860	196	24	)	)	PUNCT
fumecheng-2860	196	25	after	after	ADP
fumecheng-2860	196	26	two	two	NUM
fumecheng-2860	196	27	revolutions	revolution	NOUN
fumecheng-2860	196	28	;	;	PUNCT
fumecheng-2860	196	29	rm=1	rm=1	PROPN
fumecheng-2860	196	30	,	,	PUNCT
fumecheng-2860	196	31	q=0.9.the	q=0.9.the	DET
fumecheng-2860	196	32	inner	inner	ADJ
fumecheng-2860	196	33	circle	circle	NOUN
fumecheng-2860	196	34	indicates	indicate	VERB
fumecheng-2860	196	35	the	the	DET
fumecheng-2860	196	36	stick	stick	PROPN
fumecheng-2860	196	37	area	area	PROPN
fumecheng-2860	196	38	simulation	simulation	NOUN
fumecheng-2860	196	39	of	of	ADP
fumecheng-2860	196	40	frictional	frictional	ADJ
fumecheng-2860	196	41	dissipation	dissipation	NOUN
fumecheng-2860	196	42	under	under	ADP
fumecheng-2860	196	43	biaxial	biaxial	ADJ
fumecheng-2860	196	44	tangential	tangential	ADJ
fumecheng-2860	196	45	loading	loading	NOUN
fumecheng-2860	196	46	...	...	PUNCT
fumecheng-2860	196	47	305	305	NUM
fumecheng-2860	196	48	fig	fig	NOUN
fumecheng-2860	196	49	.	.	PUNCT
fumecheng-2860	197	1	8	8	NUM
fumecheng-2860	197	2	a	a	X
fumecheng-2860	197	3	)	)	PUNCT
fumecheng-2860	197	4	the	the	DET
fumecheng-2860	197	5	normalized	normalize	VERB
fumecheng-2860	197	6	dependencies	dependency	NOUN
fumecheng-2860	197	7	of	of	ADP
fumecheng-2860	197	8	the	the	DET
fumecheng-2860	197	9	energy	energy	NOUN
fumecheng-2860	197	10	,	,	PUNCT
fumecheng-2860	197	11	dissipated	dissipate	VERB
fumecheng-2860	197	12	during	during	ADP
fumecheng-2860	197	13	one	one	NUM
fumecheng-2860	197	14	cycle	cycle	NOUN
fumecheng-2860	197	15	of	of	ADP
fumecheng-2860	197	16	the	the	DET
fumecheng-2860	197	17	circular	circular	ADJ
fumecheng-2860	197	18	motion	motion	NOUN
fumecheng-2860	197	19	,	,	PUNCT
fumecheng-2860	197	20	compared	compare	VERB
fumecheng-2860	197	21	with	with	ADP
fumecheng-2860	197	22	the	the	DET
fumecheng-2860	197	23	data	datum	NOUN
fumecheng-2860	197	24	from	from	ADP
fumecheng-2860	197	25	ref	ref	NOUN
fumecheng-2860	197	26	.	.	PUNCT
fumecheng-2860	198	1	[	[	X
fumecheng-2860	198	2	10	10	NUM
fumecheng-2860	198	3	]	]	PUNCT
fumecheng-2860	198	4	(	(	PUNCT
fumecheng-2860	198	5	indicated	indicate	VERB
fumecheng-2860	198	6	by	by	ADP
fumecheng-2860	198	7	the	the	DET
fumecheng-2860	198	8	crosses	crosse	NOUN
fumecheng-2860	198	9	)	)	PUNCT
fumecheng-2860	198	10	;	;	PUNCT
fumecheng-2860	198	11	b	b	X
fumecheng-2860	198	12	)	)	PUNCT
fumecheng-2860	198	13	the	the	DET
fumecheng-2860	198	14	normalized	normalize	VERB
fumecheng-2860	198	15	dependencies	dependency	NOUN
fumecheng-2860	198	16	of	of	ADP
fumecheng-2860	198	17	the	the	DET
fumecheng-2860	198	18	energy	energy	NOUN
fumecheng-2860	198	19	,	,	PUNCT
fumecheng-2860	198	20	dissipated	dissipate	VERB
fumecheng-2860	198	21	during	during	ADP
fumecheng-2860	198	22	one	one	NUM
fumecheng-2860	198	23	cycle	cycle	NOUN
fumecheng-2860	198	24	of	of	ADP
fumecheng-2860	198	25	the	the	DET
fumecheng-2860	198	26	circular	circular	ADJ
fumecheng-2860	198	27	motion	motion	NOUN
fumecheng-2860	198	28	,	,	PUNCT
fumecheng-2860	198	29	reduced	reduce	VERB
fumecheng-2860	198	30	into	into	ADP
fumecheng-2860	198	31	the	the	DET
fumecheng-2860	198	32	universal	universal	ADJ
fumecheng-2860	198	33	curve	curve	NOUN
fumecheng-2860	198	34	.	.	PUNCT
fumecheng-2860	199	1	the	the	DET
fumecheng-2860	199	2	normalizing	normalizing	ADJ
fumecheng-2860	199	3	factor	factor	NOUN
fumecheng-2860	199	4	w1,c	w1,c	PROPN
fumecheng-2860	199	5	is	be	AUX
fumecheng-2860	199	6	given	give	VERB
fumecheng-2860	199	7	by	by	ADP
fumecheng-2860	199	8	eq	eq	PROPN
fumecheng-2860	199	9	.	.	PUNCT
fumecheng-2860	200	1	(	(	PUNCT
fumecheng-2860	200	2	29	29	NUM
fumecheng-2860	200	3	)	)	PUNCT
fumecheng-2860	200	4	we	we	PRON
fumecheng-2860	200	5	have	have	AUX
fumecheng-2860	200	6	found	find	VERB
fumecheng-2860	200	7	that	that	SCONJ
fumecheng-2860	200	8	for	for	ADP
fumecheng-2860	200	9	various	various	ADJ
fumecheng-2860	200	10	values	value	NOUN
fumecheng-2860	200	11	of	of	ADP
fumecheng-2860	200	12	rm	rm	PROPN
fumecheng-2860	200	13	,	,	PUNCT
fumecheng-2860	200	14	the	the	DET
fumecheng-2860	200	15	dependencies	dependency	NOUN
fumecheng-2860	200	16	of	of	ADP
fumecheng-2860	200	17	w	w	PROPN
fumecheng-2860	200	18	on	on	ADP
fumecheng-2860	200	19	q	q	NOUN
fumecheng-2860	200	20	/	/	SYM
fumecheng-2860	200	21	μfz	μfz	PROPN
fumecheng-2860	200	22	can	can	AUX
fumecheng-2860	200	23	be	be	AUX
fumecheng-2860	200	24	reduced	reduce	VERB
fumecheng-2860	200	25	to	to	ADP
fumecheng-2860	200	26	a	a	DET
fumecheng-2860	200	27	universal	universal	ADJ
fumecheng-2860	200	28	curve	curve	NOUN
fumecheng-2860	200	29	(	(	PUNCT
fumecheng-2860	200	30	fig	fig	NOUN
fumecheng-2860	200	31	.	.	PUNCT
fumecheng-2860	201	1	8b	8b	NUM
fumecheng-2860	201	2	)	)	PUNCT
fumecheng-2860	201	3	.	.	PUNCT
fumecheng-2860	202	1	the	the	DET
fumecheng-2860	202	2	results	result	NOUN
fumecheng-2860	202	3	are	be	AUX
fumecheng-2860	202	4	normalized	normalize	VERB
fumecheng-2860	202	5	to	to	ADP
fumecheng-2860	202	6	the	the	DET
fumecheng-2860	202	7	value	value	NOUN
fumecheng-2860	202	8	of	of	ADP
fumecheng-2860	202	9	the	the	DET
fumecheng-2860	202	10	energy	energy	NOUN
fumecheng-2860	202	11	w1,c	w1,c	PROPN
fumecheng-2860	202	12	dissipated	dissipate	VERB
fumecheng-2860	202	13	during	during	ADP
fumecheng-2860	202	14	one	one	NUM
fumecheng-2860	202	15	cycle	cycle	NOUN
fumecheng-2860	202	16	of	of	ADP
fumecheng-2860	202	17	uniaxial	uniaxial	ADJ
fumecheng-2860	202	18	loading	loading	NOUN
fumecheng-2860	202	19	with	with	ADP
fumecheng-2860	202	20	q	q	NOUN
fumecheng-2860	202	21	/	/	SYM
fumecheng-2860	202	22	μfz=1	μfz=1	NOUN
fumecheng-2860	202	23	:	:	PUNCT
fumecheng-2860	202	24	2	2	NUM
fumecheng-2860	202	25	1	1	NUM
fumecheng-2860	202	26	,	,	PUNCT
fumecheng-2860	202	27	*	*	VERB
fumecheng-2860	202	28	2	2	NUM
fumecheng-2860	202	29	0	0	NUM
fumecheng-2860	202	30	,	,	PUNCT
fumecheng-2860	202	31	3	3	NUM
fumecheng-2860	202	32	10	10	NUM
fumecheng-2860	202	33	m	m	NOUN
fumecheng-2860	202	34	zr	zr	NOUN
fumecheng-2860	202	35	q	q	PROPN
fumecheng-2860	202	36	f	f	PROPN
fumecheng-2860	202	37	z	z	NOUN
fumecheng-2860	202	38	c	c	PROPN
fumecheng-2860	202	39	f	f	PROPN
fumecheng-2860	202	40	w	w	PROPN
fumecheng-2860	202	41	w	w	PROPN
fumecheng-2860	202	42	ag	ag	PROPN
fumecheng-2860	202	43			PROPN
fumecheng-2860	202	44			ADJ
fumecheng-2860	202	45			NOUN
fumecheng-2860	202	46			NOUN
fumecheng-2860	202	47			ADJ
fumecheng-2860	202	48	.	.	PUNCT
fumecheng-2860	203	1	(	(	PUNCT
fumecheng-2860	203	2	29	29	NUM
fumecheng-2860	203	3	)	)	PUNCT
fumecheng-2860	203	4	the	the	DET
fumecheng-2860	203	5	universality	universality	NOUN
fumecheng-2860	203	6	of	of	ADP
fumecheng-2860	203	7	the	the	DET
fumecheng-2860	203	8	given	give	VERB
fumecheng-2860	203	9	curve	curve	NOUN
fumecheng-2860	203	10	holds	hold	VERB
fumecheng-2860	203	11	for	for	ADP
fumecheng-2860	203	12	relatively	relatively	ADV
fumecheng-2860	203	13	small	small	ADJ
fumecheng-2860	203	14	amplitudes	amplitude	NOUN
fumecheng-2860	203	15	of	of	ADP
fumecheng-2860	203	16	oscillations	oscillation	NOUN
fumecheng-2860	203	17	.	.	PUNCT
fumecheng-2860	204	1	when	when	SCONJ
fumecheng-2860	204	2	the	the	DET
fumecheng-2860	204	3	amplitude	amplitude	NOUN
fumecheng-2860	204	4	of	of	ADP
fumecheng-2860	204	5	oscillations	oscillation	NOUN
fumecheng-2860	204	6	becomes	become	VERB
fumecheng-2860	204	7	comparable	comparable	ADJ
fumecheng-2860	204	8	with	with	ADP
fumecheng-2860	204	9	the	the	DET
fumecheng-2860	204	10	value	value	NOUN
fumecheng-2860	204	11	of	of	ADP
fumecheng-2860	204	12	amplitude	amplitude	NOUN
fumecheng-2860	204	13	needed	need	VERB
fumecheng-2860	204	14	for	for	ADP
fumecheng-2860	204	15	gross	gross	ADJ
fumecheng-2860	204	16	slip	slip	NOUN
fumecheng-2860	204	17	transition	transition	NOUN
fumecheng-2860	204	18	,	,	PUNCT
fumecheng-2860	204	19	the	the	DET
fumecheng-2860	204	20	deviations	deviation	NOUN
fumecheng-2860	204	21	from	from	ADP
fumecheng-2860	204	22	the	the	DET
fumecheng-2860	204	23	universal	universal	ADJ
fumecheng-2860	204	24	curve	curve	NOUN
fumecheng-2860	204	25	appear	appear	VERB
fumecheng-2860	204	26	(	(	PUNCT
fumecheng-2860	204	27	see	see	VERB
fumecheng-2860	204	28	fig	fig	NOUN
fumecheng-2860	204	29	.	.	PUNCT
fumecheng-2860	205	1	8b	8b	NUM
fumecheng-2860	205	2	)	)	PUNCT
fumecheng-2860	205	3	.	.	PUNCT
fumecheng-2860	206	1	we	we	PRON
fumecheng-2860	206	2	suggest	suggest	VERB
fumecheng-2860	206	3	a	a	DET
fumecheng-2860	206	4	power	power	NOUN
fumecheng-2860	206	5	-	-	PUNCT
fumecheng-2860	206	6	law	law	NOUN
fumecheng-2860	206	7	approximation	approximation	NOUN
fumecheng-2860	206	8	of	of	ADP
fumecheng-2860	206	9	the	the	DET
fumecheng-2860	206	10	data	datum	NOUN
fumecheng-2860	206	11	shown	show	VERB
fumecheng-2860	206	12	in	in	ADP
fumecheng-2860	206	13	fig	fig	NOUN
fumecheng-2860	206	14	.	.	PUNCT
fumecheng-2860	207	1	8b	8b	NUM
fumecheng-2860	207	2	as	as	SCONJ
fumecheng-2860	207	3	follows	follow	VERB
fumecheng-2860	207	4	:	:	PUNCT
fumecheng-2860	207	5	3.5	3.5	NUM
fumecheng-2860	207	6	1,0.45	1,0.45	NUM
fumecheng-2860	207	7	(	(	PUNCT
fumecheng-2860	207	8	/	/	SYM
fumecheng-2860	207	9	)	)	PUNCT
fumecheng-2860	207	10	c	c	NOUN
fumecheng-2860	207	11	zw	zw	PROPN
fumecheng-2860	207	12	w	w	PROPN
fumecheng-2860	207	13	q	q	NOUN
fumecheng-2860	207	14	f	f	NOUN
fumecheng-2860	207	15			NOUN
fumecheng-2860	207	16	,	,	PUNCT
fumecheng-2860	207	17	(	(	PUNCT
fumecheng-2860	207	18	30	30	NUM
fumecheng-2860	207	19	)	)	PUNCT
fumecheng-2860	207	20	which	which	PRON
fumecheng-2860	207	21	fits	fit	VERB
fumecheng-2860	207	22	the	the	DET
fumecheng-2860	207	23	results	result	NOUN
fumecheng-2860	207	24	of	of	ADP
fumecheng-2860	207	25	numerical	numerical	ADJ
fumecheng-2860	207	26	simulations	simulation	NOUN
fumecheng-2860	207	27	well	well	ADV
fumecheng-2860	207	28	for	for	ADP
fumecheng-2860	207	29	q	q	NOUN
fumecheng-2860	207	30	/	/	SYM
fumecheng-2860	207	31	μfz	μfz	X
fumecheng-2860	207	32	<	<	X
fumecheng-2860	207	33	0.7	0.7	NUM
fumecheng-2860	207	34	.	.	PUNCT
fumecheng-2860	208	1	note	note	VERB
fumecheng-2860	208	2	that	that	SCONJ
fumecheng-2860	208	3	in	in	ADP
fumecheng-2860	208	4	fig	fig	NOUN
fumecheng-2860	208	5	.	.	PUNCT
fumecheng-2860	209	1	8b	8b	PROPN
fumecheng-2860	209	2	the	the	DET
fumecheng-2860	209	3	curve	curve	NOUN
fumecheng-2860	209	4	for	for	ADP
fumecheng-2860	209	5	rm	rm	NOUN
fumecheng-2860	209	6	=	=	SYM
fumecheng-2860	209	7	0	0	PROPN
fumecheng-2860	209	8	coincides	coincide	VERB
fumecheng-2860	209	9	with	with	ADP
fumecheng-2860	209	10	the	the	DET
fumecheng-2860	209	11	results	result	NOUN
fumecheng-2860	209	12	of	of	ADP
fumecheng-2860	209	13	cattaneo	cattaneo	NOUN
fumecheng-2860	209	14	and	and	CCONJ
fumecheng-2860	209	15	mindlin	mindlin	NOUN
fumecheng-2860	209	16	.	.	PUNCT
fumecheng-2860	210	1	6	6	NUM
fumecheng-2860	210	2	.	.	X
fumecheng-2860	210	3	conclusions	conclusion	NOUN
fumecheng-2860	210	4	by	by	ADP
fumecheng-2860	210	5	analyzing	analyze	VERB
fumecheng-2860	210	6	the	the	DET
fumecheng-2860	210	7	stick	stick	NOUN
fumecheng-2860	210	8	and	and	CCONJ
fumecheng-2860	210	9	slip	slip	VERB
fumecheng-2860	210	10	conditions	condition	NOUN
fumecheng-2860	210	11	and	and	CCONJ
fumecheng-2860	210	12	comparing	compare	VERB
fumecheng-2860	210	13	with	with	ADP
fumecheng-2860	210	14	three	three	NUM
fumecheng-2860	210	15	-	-	PUNCT
fumecheng-2860	210	16	dimensional	dimensional	ADJ
fumecheng-2860	210	17	calculations	calculation	NOUN
fumecheng-2860	210	18	we	we	PRON
fumecheng-2860	210	19	have	have	AUX
fumecheng-2860	210	20	explored	explore	VERB
fumecheng-2860	210	21	the	the	DET
fumecheng-2860	210	22	question	question	NOUN
fumecheng-2860	210	23	whether	whether	SCONJ
fumecheng-2860	210	24	the	the	DET
fumecheng-2860	210	25	mdr	mdr	PROPN
fumecheng-2860	210	26	is	be	AUX
fumecheng-2860	210	27	applicable	applicable	ADJ
fumecheng-2860	210	28	for	for	ADP
fumecheng-2860	210	29	the	the	DET
fumecheng-2860	210	30	simulation	simulation	NOUN
fumecheng-2860	210	31	of	of	ADP
fumecheng-2860	210	32	bi	bi	ADJ
fumecheng-2860	210	33	-	-	ADJ
fumecheng-2860	210	34	axial	axial	ADJ
fumecheng-2860	210	35	in	in	ADP
fumecheng-2860	210	36	-	-	PUNCT
fumecheng-2860	210	37	plane	plane	NOUN
fumecheng-2860	210	38	loadings	loading	NOUN
fumecheng-2860	210	39	.	.	PUNCT
fumecheng-2860	211	1	we	we	PRON
fumecheng-2860	211	2	have	have	AUX
fumecheng-2860	211	3	found	find	VERB
fumecheng-2860	211	4	that	that	SCONJ
fumecheng-2860	211	5	the	the	DET
fumecheng-2860	211	6	corresponding	correspond	VERB
fumecheng-2860	211	7	mapping	mapping	NOUN
fumecheng-2860	211	8	is	be	AUX
fumecheng-2860	211	9	not	not	PART
fumecheng-2860	211	10	exact	exact	ADJ
fumecheng-2860	211	11	(	(	PUNCT
fumecheng-2860	211	12	there	there	PRON
fumecheng-2860	211	13	are	be	VERB
fumecheng-2860	211	14	local	local	ADJ
fumecheng-2860	211	15	violations	violation	NOUN
fumecheng-2860	211	16	of	of	ADP
fumecheng-2860	211	17	stick	stick	NOUN
fumecheng-2860	211	18	and	and	CCONJ
fumecheng-2860	211	19	slip	slip	VERB
fumecheng-2860	211	20	conditions	condition	NOUN
fumecheng-2860	211	21	)	)	PUNCT
fumecheng-2860	211	22	but	but	CCONJ
fumecheng-2860	211	23	has	have	VERB
fumecheng-2860	211	24	an	an	DET
fumecheng-2860	211	25	acceptable	acceptable	ADJ
fumecheng-2860	211	26	accuracy	accuracy	NOUN
fumecheng-2860	211	27	comparable	comparable	ADJ
fumecheng-2860	211	28	with	with	ADP
fumecheng-2860	211	29	the	the	DET
fumecheng-2860	211	30	accuracy	accuracy	NOUN
fumecheng-2860	211	31	of	of	ADP
fumecheng-2860	211	32	the	the	DET
fumecheng-2860	211	33	cattaneo	cattaneo	NOUN
fumecheng-2860	211	34	and	and	CCONJ
fumecheng-2860	211	35	mindlin	mindlin	NOUN
fumecheng-2860	211	36	solution	solution	NOUN
fumecheng-2860	211	37	for	for	ADP
fumecheng-2860	211	38	tangential	tangential	ADJ
fumecheng-2860	211	39	contact	contact	NOUN
fumecheng-2860	211	40	.	.	PUNCT
fumecheng-2860	212	1	comparison	comparison	NOUN
fumecheng-2860	212	2	with	with	ADP
fumecheng-2860	212	3	three	three	NUM
fumecheng-2860	212	4	-	-	PUNCT
fumecheng-2860	212	5	dimensional	dimensional	ADJ
fumecheng-2860	212	6	simulations	simulation	NOUN
fumecheng-2860	212	7	shows	show	VERB
fumecheng-2860	212	8	a	a	DET
fumecheng-2860	212	9	good	good	ADJ
fumecheng-2860	212	10	qualitative	qualitative	ADJ
fumecheng-2860	212	11	agreement	agreement	NOUN
fumecheng-2860	212	12	but	but	CCONJ
fumecheng-2860	212	13	some	some	DET
fumecheng-2860	212	14	quantitative	quantitative	ADJ
fumecheng-2860	212	15	deviations	deviation	NOUN
fumecheng-2860	212	16	.	.	PUNCT
fumecheng-2860	213	1	we	we	PRON
fumecheng-2860	213	2	have	have	AUX
fumecheng-2860	213	3	found	find	VERB
fumecheng-2860	213	4	that	that	SCONJ
fumecheng-2860	213	5	the	the	DET
fumecheng-2860	213	6	dependencies	dependency	NOUN
fumecheng-2860	213	7	of	of	ADP
fumecheng-2860	213	8	the	the	DET
fumecheng-2860	213	9	dissipated	dissipate	VERB
fumecheng-2860	213	10	energy	energy	NOUN
fumecheng-2860	213	11	on	on	ADP
fumecheng-2860	213	12	the	the	DET
fumecheng-2860	213	13	amplitude	amplitude	NOUN
fumecheng-2860	213	14	of	of	ADP
fumecheng-2860	213	15	loading	loading	NOUN
fumecheng-2860	213	16	,	,	PUNCT
fumecheng-2860	213	17	obtained	obtain	VERB
fumecheng-2860	213	18	for	for	ADP
fumecheng-2860	213	19	various	various	ADJ
fumecheng-2860	213	20	values	value	NOUN
fumecheng-2860	213	21	of	of	ADP
fumecheng-2860	213	22	rm	rm	PROPN
fumecheng-2860	213	23	,	,	PUNCT
fumecheng-2860	213	24	fit	fit	VERB
fumecheng-2860	213	25	into	into	ADP
fumecheng-2860	213	26	one	one	NUM
fumecheng-2860	213	27	universal	universal	ADJ
fumecheng-2860	213	28	curve	curve	NOUN
fumecheng-2860	213	29	.	.	PUNCT
fumecheng-2860	214	1	this	this	DET
fumecheng-2860	214	2	curve	curve	NOUN
fumecheng-2860	214	3	may	may	AUX
fumecheng-2860	214	4	be	be	AUX
fumecheng-2860	214	5	approximated	approximate	VERB
fumecheng-2860	214	6	by	by	ADP
fumecheng-2860	214	7	a	a	DET
fumecheng-2860	214	8	power	power	NOUN
fumecheng-2860	214	9	law	law	NOUN
fumecheng-2860	214	10	in	in	ADP
fumecheng-2860	214	11	the	the	DET
fumecheng-2860	214	12	range	range	NOUN
fumecheng-2860	214	13	of	of	ADP
fumecheng-2860	214	14	small	small	ADJ
fumecheng-2860	214	15	values	value	NOUN
fumecheng-2860	214	16	of	of	ADP
fumecheng-2860	214	17	q	q	NOUN
fumecheng-2860	214	18	/	/	SYM
fumecheng-2860	214	19	μfz	μfz	X
fumecheng-2860	214	20	<	<	X
fumecheng-2860	214	21	0.7	0.7	NUM
fumecheng-2860	214	22	.	.	PUNCT
fumecheng-2860	215	1	the	the	DET
fumecheng-2860	215	2	obtained	obtain	VERB
fumecheng-2860	215	3	results	result	NOUN
fumecheng-2860	215	4	may	may	AUX
fumecheng-2860	215	5	be	be	AUX
fumecheng-2860	215	6	helpful	helpful	ADJ
fumecheng-2860	215	7	for	for	ADP
fumecheng-2860	215	8	a	a	DET
fumecheng-2860	215	9	better	well	ADJ
fumecheng-2860	215	10	understanding	understanding	NOUN
fumecheng-2860	215	11	of	of	ADP
fumecheng-2860	215	12	the	the	DET
fumecheng-2860	215	13	mechanics	mechanic	NOUN
fumecheng-2860	215	14	of	of	ADP
fumecheng-2860	215	15	tangential	tangential	ADJ
fumecheng-2860	215	16	contacts	contact	NOUN
fumecheng-2860	215	17	under	under	ADP
fumecheng-2860	215	18	bi	bi	ADJ
fumecheng-2860	215	19	-	-	ADJ
fumecheng-2860	215	20	axial	axial	ADJ
fumecheng-2860	215	21	loading	loading	NOUN
fumecheng-2860	215	22	.	.	PUNCT
fumecheng-2860	216	1	306	306	NUM
fumecheng-2860	216	2	a.v	a.v	NOUN
fumecheng-2860	216	3	.	.	PROPN
fumecheng-2860	216	4	dimaki	dimaki	PROPN
fumecheng-2860	216	5	,	,	PUNCT
fumecheng-2860	216	6	r.	r.	PROPN
fumecheng-2860	216	7	pohrt	pohrt	PROPN
fumecheng-2860	216	8	,	,	PUNCT
fumecheng-2860	216	9	v.l	v.l	PROPN
fumecheng-2860	216	10	.	.	PROPN
fumecheng-2860	216	11	popov	popov	PROPN
fumecheng-2860	216	12	acknowledgements	acknowledgement	NOUN
fumecheng-2860	216	13	:	:	PUNCT
fumecheng-2860	216	14	a.v	a.v	X
fumecheng-2860	216	15	.	.	PROPN
fumecheng-2860	216	16	dimaki	dimaki	NOUN
fumecheng-2860	216	17	is	be	AUX
fumecheng-2860	216	18	thankful	thankful	ADJ
fumecheng-2860	216	19	for	for	ADP
fumecheng-2860	216	20	the	the	DET
fumecheng-2860	216	21	funding	funding	NOUN
fumecheng-2860	216	22	of	of	ADP
fumecheng-2860	216	23	the	the	DET
fumecheng-2860	216	24	fundamental	fundamental	ADJ
fumecheng-2860	216	25	research	research	NOUN
fumecheng-2860	216	26	program	program	NOUN
fumecheng-2860	216	27	of	of	ADP
fumecheng-2860	216	28	the	the	DET
fumecheng-2860	216	29	state	state	NOUN
fumecheng-2860	216	30	academies	academy	NOUN
fumecheng-2860	216	31	of	of	ADP
fumecheng-2860	216	32	sciences	science	NOUN
fumecheng-2860	216	33	for	for	ADP
fumecheng-2860	216	34	2013–2020	2013–2020	NUM
fumecheng-2860	216	35	.	.	PUNCT
fumecheng-2860	217	1	r.	r.	PROPN
fumecheng-2860	217	2	pohrt	pohrt	PROPN
fumecheng-2860	217	3	and	and	CCONJ
fumecheng-2860	217	4	v.l	v.l	PROPN
fumecheng-2860	217	5	.	.	PROPN
fumecheng-2860	217	6	popov	popov	PROPN
fumecheng-2860	217	7	thank	thank	PROPN
fumecheng-2860	217	8	v.	v.	PROPN
fumecheng-2860	217	9	aleshin	aleshin	PROPN
fumecheng-2860	217	10	for	for	ADP
fumecheng-2860	217	11	helpful	helpful	ADJ
fumecheng-2860	217	12	discussions	discussion	NOUN
fumecheng-2860	217	13	.	.	PUNCT
fumecheng-2860	218	1	references	reference	NOUN
fumecheng-2860	218	2	1	1	NUM
fumecheng-2860	218	3	.	.	PUNCT
fumecheng-2860	219	1	dimaki	dimaki	NOUN
fumecheng-2860	219	2	,	,	PUNCT
fumecheng-2860	219	3	a.v	a.v	PROPN
fumecheng-2860	219	4	.	.	PROPN
fumecheng-2860	219	5	,	,	PUNCT
fumecheng-2860	219	6	dmitriev	dmitriev	PROPN
fumecheng-2860	219	7	,	,	PUNCT
fumecheng-2860	219	8	a.i	a.i	PROPN
fumecheng-2860	219	9	.	.	PROPN
fumecheng-2860	219	10	,	,	PUNCT
fumecheng-2860	219	11	chai	chai	NOUN
fumecheng-2860	219	12	,	,	PUNCT
fumecheng-2860	219	13	y.s	y.s	PROPN
fumecheng-2860	219	14	.	.	PROPN
fumecheng-2860	219	15	,	,	PUNCT
fumecheng-2860	219	16	popov	popov	PROPN
fumecheng-2860	219	17	,	,	PUNCT
fumecheng-2860	219	18	v.l	v.l	PROPN
fumecheng-2860	219	19	.	.	PROPN
fumecheng-2860	219	20	,	,	PUNCT
fumecheng-2860	219	21	2014	2014	NUM
fumecheng-2860	219	22	,	,	PUNCT
fumecheng-2860	219	23	rapid	rapid	ADJ
fumecheng-2860	219	24	simulation	simulation	NOUN
fumecheng-2860	219	25	procedure	procedure	NOUN
fumecheng-2860	219	26	for	for	ADP
fumecheng-2860	219	27	fretting	fret	VERB
fumecheng-2860	219	28	wear	wear	NOUN
fumecheng-2860	219	29	on	on	ADP
fumecheng-2860	219	30	the	the	DET
fumecheng-2860	219	31	basis	basis	NOUN
fumecheng-2860	219	32	of	of	ADP
fumecheng-2860	219	33	the	the	DET
fumecheng-2860	219	34	method	method	NOUN
fumecheng-2860	219	35	of	of	ADP
fumecheng-2860	219	36	dimensionality	dimensionality	NOUN
fumecheng-2860	219	37	reduction	reduction	NOUN
fumecheng-2860	219	38	,	,	PUNCT
fumecheng-2860	219	39	int	int	NOUN
fumecheng-2860	219	40	.	.	PUNCT
fumecheng-2860	220	1	j.	j.	PROPN
fumecheng-2860	220	2	solids	solids	PROPN
fumecheng-2860	220	3	and	and	CCONJ
fumecheng-2860	220	4	struct	struct	NOUN
fumecheng-2860	220	5	.	.	PUNCT
fumecheng-2860	220	6	,	,	PUNCT
fumecheng-2860	220	7	51	51	NUM
fumecheng-2860	220	8	,	,	PUNCT
fumecheng-2860	220	9	pp	pp	ADJ
fumecheng-2860	220	10	.	.	PUNCT
fumecheng-2860	221	1	4215	4215	NUM
fumecheng-2860	221	2	-	-	SYM
fumecheng-2860	221	3	4220	4220	NUM
fumecheng-2860	221	4	.	.	PUNCT
fumecheng-2860	222	1	2	2	X
fumecheng-2860	222	2	.	.	X
fumecheng-2860	222	3	ginsberg	ginsberg	PROPN
fumecheng-2860	222	4	,	,	PUNCT
fumecheng-2860	222	5	j.h	j.h	PROPN
fumecheng-2860	222	6	.	.	PROPN
fumecheng-2860	222	7	,	,	PUNCT
fumecheng-2860	222	8	2001	2001	NUM
fumecheng-2860	222	9	,	,	PUNCT
fumecheng-2860	222	10	mechanical	mechanical	ADJ
fumecheng-2860	222	11	and	and	CCONJ
fumecheng-2860	222	12	structural	structural	ADJ
fumecheng-2860	222	13	vibrations	vibration	NOUN
fumecheng-2860	222	14	:	:	PUNCT
fumecheng-2860	222	15	theory	theory	NOUN
fumecheng-2860	222	16	and	and	CCONJ
fumecheng-2860	222	17	applications	application	NOUN
fumecheng-2860	222	18	.	.	PUNCT
fumecheng-2860	223	1	wiley	wiley	PROPN
fumecheng-2860	223	2	,	,	PUNCT
fumecheng-2860	223	3	704	704	NUM
fumecheng-2860	223	4	p.	p.	NOUN
fumecheng-2860	223	5	3	3	NUM
fumecheng-2860	223	6	.	.	PUNCT
fumecheng-2860	224	1	cattaneo	cattaneo	PROPN
fumecheng-2860	224	2	c.	c.	PROPN
fumecheng-2860	224	3	,	,	PUNCT
fumecheng-2860	224	4	1938	1938	NUM
fumecheng-2860	224	5	,	,	PUNCT
fumecheng-2860	224	6	sul	sul	PROPN
fumecheng-2860	224	7	contatto	contatto	X
fumecheng-2860	224	8	di	di	PROPN
fumecheng-2860	224	9	due	due	ADJ
fumecheng-2860	224	10	corpi	corpi	ADJ
fumecheng-2860	224	11	elastici	elastici	NOUN
fumecheng-2860	224	12	:	:	PUNCT
fumecheng-2860	224	13	distribuzione	distribuzione	NOUN
fumecheng-2860	224	14	locale	locale	PROPN
fumecheng-2860	224	15	degli	degli	PROPN
fumecheng-2860	224	16	sforzi	sforzi	NOUN
fumecheng-2860	224	17	,	,	PUNCT
fumecheng-2860	224	18	rendiconti	rendiconti	ADJ
fumecheng-2860	224	19	dell'accademia	dell'accademia	PROPN
fumecheng-2860	224	20	nazionale	nazionale	PROPN
fumecheng-2860	224	21	dei	dei	PROPN
fumecheng-2860	224	22	lincei	lincei	NOUN
fumecheng-2860	224	23	,	,	PUNCT
fumecheng-2860	224	24	27	27	NUM
fumecheng-2860	224	25	,	,	PUNCT
fumecheng-2860	224	26	342	342	NUM
fumecheng-2860	224	27	-	-	SYM
fumecheng-2860	224	28	348	348	NUM
fumecheng-2860	224	29	,	,	PUNCT
fumecheng-2860	224	30	434	434	NUM
fumecheng-2860	224	31	-	-	SYM
fumecheng-2860	224	32	436	436	NUM
fumecheng-2860	224	33	,	,	PUNCT
fumecheng-2860	224	34	474	474	NUM
fumecheng-2860	224	35	-	-	SYM
fumecheng-2860	224	36	478	478	NUM
fumecheng-2860	224	37	.	.	NOUN
fumecheng-2860	225	1	4	4	NUM
fumecheng-2860	225	2	.	.	X
fumecheng-2860	225	3	mindlin	mindlin	PROPN
fumecheng-2860	225	4	,	,	PUNCT
fumecheng-2860	225	5	r.d	r.d	PROPN
fumecheng-2860	225	6	.	.	PROPN
fumecheng-2860	225	7	,	,	PUNCT
fumecheng-2860	225	8	mason	mason	PROPN
fumecheng-2860	225	9	,	,	PUNCT
fumecheng-2860	225	10	w.p	w.p	PROPN
fumecheng-2860	225	11	.	.	PROPN
fumecheng-2860	225	12	,	,	PUNCT
fumecheng-2860	225	13	osmer	osmer	PROPN
fumecheng-2860	225	14	,	,	PUNCT
fumecheng-2860	225	15	t.f	t.f	PROPN
fumecheng-2860	225	16	.	.	PROPN
fumecheng-2860	225	17	,	,	PUNCT
fumecheng-2860	225	18	deresiewicz	deresiewicz	PROPN
fumecheng-2860	225	19	,	,	PUNCT
fumecheng-2860	225	20	h.	h.	PROPN
fumecheng-2860	225	21	,	,	PUNCT
fumecheng-2860	225	22	1951	1951	NUM
fumecheng-2860	225	23	,	,	PUNCT
fumecheng-2860	225	24	effects	effect	NOUN
fumecheng-2860	225	25	of	of	ADP
fumecheng-2860	225	26	an	an	DET
fumecheng-2860	225	27	oscillating	oscillate	VERB
fumecheng-2860	225	28	tangential	tangential	ADJ
fumecheng-2860	225	29	force	force	NOUN
fumecheng-2860	225	30	on	on	ADP
fumecheng-2860	225	31	the	the	DET
fumecheng-2860	225	32	contact	contact	NOUN
fumecheng-2860	225	33	surfaces	surface	NOUN
fumecheng-2860	225	34	of	of	ADP
fumecheng-2860	225	35	elastic	elastic	ADJ
fumecheng-2860	225	36	spheres	sphere	NOUN
fumecheng-2860	225	37	,	,	PUNCT
fumecheng-2860	225	38	proc	proc	NOUN
fumecheng-2860	225	39	.	.	PUNCT
fumecheng-2860	226	1	first	first	PROPN
fumecheng-2860	226	2	us	us	PROPN
fumecheng-2860	226	3	national	national	PROPN
fumecheng-2860	226	4	congress	congress	PROPN
fumecheng-2860	226	5	of	of	ADP
fumecheng-2860	226	6	appl	appl	PROPN
fumecheng-2860	226	7	.	.	PROPN
fumecheng-2860	226	8	mech	mech	PROPN
fumecheng-2860	226	9	.	.	PUNCT
fumecheng-2860	226	10	,	,	PUNCT
fumecheng-2860	226	11	pp	pp	ADJ
fumecheng-2860	226	12	.	.	PUNCT
fumecheng-2860	227	1	203–208	203–208	NUM
fumecheng-2860	227	2	.	.	PUNCT
fumecheng-2860	228	1	5	5	NUM
fumecheng-2860	228	2	.	.	X
fumecheng-2860	228	3	popov	popov	PROPN
fumecheng-2860	228	4	,	,	PUNCT
fumecheng-2860	228	5	v.l	v.l	PROPN
fumecheng-2860	228	6	.	.	PROPN
fumecheng-2860	228	7	,	,	PUNCT
fumecheng-2860	228	8	heß	heß	PROPN
fumecheng-2860	228	9	,	,	PUNCT
fumecheng-2860	228	10	m.	m.	NOUN
fumecheng-2860	228	11	,	,	PUNCT
fumecheng-2860	228	12	2015	2015	NUM
fumecheng-2860	228	13	,	,	PUNCT
fumecheng-2860	228	14	method	method	NOUN
fumecheng-2860	228	15	of	of	ADP
fumecheng-2860	228	16	dimensionality	dimensionality	NOUN
fumecheng-2860	228	17	reduction	reduction	NOUN
fumecheng-2860	228	18	in	in	ADP
fumecheng-2860	228	19	contact	contact	NOUN
fumecheng-2860	228	20	mechanics	mechanic	NOUN
fumecheng-2860	228	21	and	and	CCONJ
fumecheng-2860	228	22	friction	friction	NOUN
fumecheng-2860	228	23	,	,	PUNCT
fumecheng-2860	228	24	berlin	berlin	PROPN
fumecheng-2860	228	25	,	,	PUNCT
fumecheng-2860	228	26	heidelberg	heidelberg	PROPN
fumecheng-2860	228	27	:	:	PUNCT
fumecheng-2860	228	28	springer	springer	NOUN
fumecheng-2860	228	29	,	,	PUNCT
fumecheng-2860	228	30	265	265	NUM
fumecheng-2860	228	31	p.	p.	NOUN
fumecheng-2860	228	32	6	6	NUM
fumecheng-2860	228	33	.	.	PUNCT
fumecheng-2860	229	1	popov	popov	PROPN
fumecheng-2860	229	2	,	,	PUNCT
fumecheng-2860	229	3	v.l	v.l	PROPN
fumecheng-2860	229	4	.	.	PROPN
fumecheng-2860	229	5	,	,	PUNCT
fumecheng-2860	229	6	2017	2017	NUM
fumecheng-2860	229	7	,	,	PUNCT
fumecheng-2860	229	8	contact	contact	NOUN
fumecheng-2860	229	9	mechanics	mechanic	NOUN
fumecheng-2860	229	10	and	and	CCONJ
fumecheng-2860	229	11	friction	friction	NOUN
fumecheng-2860	229	12	.	.	PUNCT
fumecheng-2860	230	1	physical	physical	ADJ
fumecheng-2860	230	2	principles	principle	NOUN
fumecheng-2860	230	3	and	and	CCONJ
fumecheng-2860	230	4	applications	application	NOUN
fumecheng-2860	230	5	,	,	PUNCT
fumecheng-2860	230	6	2nd	2nd	PROPN
fumecheng-2860	230	7	edition	edition	NOUN
fumecheng-2860	230	8	,	,	PUNCT
fumecheng-2860	230	9	berlin	berlin	PROPN
fumecheng-2860	230	10	,	,	PUNCT
fumecheng-2860	230	11	heidelberg	heidelberg	PROPN
fumecheng-2860	230	12	:	:	PUNCT
fumecheng-2860	230	13	springer	springer	NOUN
fumecheng-2860	230	14	,	,	PUNCT
fumecheng-2860	230	15	391	391	NUM
fumecheng-2860	230	16	p.	p.	NOUN
fumecheng-2860	230	17	7	7	NUM
fumecheng-2860	230	18	.	.	PUNCT
fumecheng-2860	231	1	johnson	johnson	PROPN
fumecheng-2860	231	2	,	,	PUNCT
fumecheng-2860	231	3	k.l	k.l	PROPN
fumecheng-2860	231	4	.	.	PROPN
fumecheng-2860	231	5	,	,	PUNCT
fumecheng-2860	231	6	1955	1955	NUM
fumecheng-2860	231	7	,	,	PUNCT
fumecheng-2860	231	8	surface	surface	NOUN
fumecheng-2860	231	9	interaction	interaction	NOUN
fumecheng-2860	231	10	between	between	ADP
fumecheng-2860	231	11	elastically	elastically	ADV
fumecheng-2860	231	12	loaded	load	VERB
fumecheng-2860	231	13	bodies	body	NOUN
fumecheng-2860	231	14	under	under	ADP
fumecheng-2860	231	15	tangential	tangential	ADJ
fumecheng-2860	231	16	forces	force	NOUN
fumecheng-2860	231	17	,	,	PUNCT
fumecheng-2860	231	18	proceedings	proceeding	NOUN
fumecheng-2860	231	19	of	of	ADP
fumecheng-2860	231	20	the	the	DET
fumecheng-2860	231	21	royal	royal	ADJ
fumecheng-2860	231	22	society	society	NOUN
fumecheng-2860	231	23	,	,	PUNCT
fumecheng-2860	231	24	a230	a230	PROPN
fumecheng-2860	231	25	,	,	PUNCT
fumecheng-2860	231	26	p.	p.	NOUN
fumecheng-2860	231	27	531	531	NUM
fumecheng-2860	231	28	-	-	SYM
fumecheng-2860	231	29	548	548	NUM
fumecheng-2860	231	30	.	.	PUNCT
fumecheng-2860	231	31	8	8	NUM
fumecheng-2860	231	32	.	.	X
fumecheng-2860	231	33	munisamy	munisamy	PROPN
fumecheng-2860	231	34	,	,	PUNCT
fumecheng-2860	231	35	r.l	r.l	PROPN
fumecheng-2860	231	36	.	.	PROPN
fumecheng-2860	231	37	,	,	PUNCT
fumecheng-2860	231	38	hills	hills	PROPN
fumecheng-2860	231	39	d.a	d.a	PROPN
fumecheng-2860	231	40	.	.	PROPN
fumecheng-2860	231	41	,	,	PUNCT
fumecheng-2860	231	42	nowell	nowell	PROPN
fumecheng-2860	231	43	d.	d.	PROPN
fumecheng-2860	231	44	,	,	PUNCT
fumecheng-2860	231	45	1994	1994	NUM
fumecheng-2860	231	46	,	,	PUNCT
fumecheng-2860	231	47	static	static	ADJ
fumecheng-2860	231	48	axisymmetric	axisymmetric	ADJ
fumecheng-2860	231	49	hertzian	hertzian	ADJ
fumecheng-2860	231	50	contacts	contact	NOUN
fumecheng-2860	231	51	subject	subject	ADJ
fumecheng-2860	231	52	to	to	ADP
fumecheng-2860	231	53	shearing	shearing	NOUN
fumecheng-2860	231	54	forces	force	NOUN
fumecheng-2860	231	55	,	,	PUNCT
fumecheng-2860	231	56	asme	asme	PROPN
fumecheng-2860	231	57	journal	journal	PROPN
fumecheng-2860	231	58	of	of	ADP
fumecheng-2860	231	59	applied	apply	VERB
fumecheng-2860	231	60	mechanics	mechanic	NOUN
fumecheng-2860	231	61	,	,	PUNCT
fumecheng-2860	231	62	61	61	NUM
fumecheng-2860	231	63	,	,	PUNCT
fumecheng-2860	231	64	pp	pp	ADJ
fumecheng-2860	231	65	.	.	PUNCT
fumecheng-2860	232	1	278	278	NUM
fumecheng-2860	232	2	-	-	SYM
fumecheng-2860	232	3	283	283	NUM
fumecheng-2860	232	4	.	.	PUNCT
fumecheng-2860	233	1	9	9	NUM
fumecheng-2860	233	2	.	.	X
fumecheng-2860	233	3	gallego	gallego	PROPN
fumecheng-2860	233	4	,	,	PUNCT
fumecheng-2860	233	5	l.	l.	PROPN
fumecheng-2860	233	6	,	,	PUNCT
fumecheng-2860	233	7	nelias	nelias	PROPN
fumecheng-2860	233	8	,	,	PUNCT
fumecheng-2860	233	9	d.	d.	NOUN
fumecheng-2860	233	10	,	,	PUNCT
fumecheng-2860	233	11	and	and	CCONJ
fumecheng-2860	233	12	deyber	deyber	NOUN
fumecheng-2860	233	13	,	,	PUNCT
fumecheng-2860	233	14	s.	s.	PROPN
fumecheng-2860	233	15	,	,	PUNCT
fumecheng-2860	233	16	2010	2010	NUM
fumecheng-2860	233	17	,	,	PUNCT
fumecheng-2860	233	18	a	a	DET
fumecheng-2860	233	19	fast	fast	ADJ
fumecheng-2860	233	20	and	and	CCONJ
fumecheng-2860	233	21	efficient	efficient	ADJ
fumecheng-2860	233	22	contact	contact	NOUN
fumecheng-2860	233	23	algorithm	algorithm	NOUN
fumecheng-2860	233	24	for	for	ADP
fumecheng-2860	233	25	fretting	fret	VERB
fumecheng-2860	233	26	problems	problem	NOUN
fumecheng-2860	233	27	applied	apply	VERB
fumecheng-2860	233	28	to	to	ADP
fumecheng-2860	233	29	fretting	fret	VERB
fumecheng-2860	233	30	modes	mode	NOUN
fumecheng-2860	233	31	i	i	PRON
fumecheng-2860	233	32	,	,	PUNCT
fumecheng-2860	233	33	ii	ii	PROPN
fumecheng-2860	233	34	and	and	CCONJ
fumecheng-2860	233	35	iii	iii	PROPN
fumecheng-2860	233	36	,	,	PUNCT
fumecheng-2860	233	37	wear	wear	VERB
fumecheng-2860	233	38	,	,	PUNCT
fumecheng-2860	233	39	268.1	268.1	NUM
fumecheng-2860	233	40	,	,	PUNCT
fumecheng-2860	233	41	pp	pp	ADJ
fumecheng-2860	233	42	.	.	PUNCT
fumecheng-2860	234	1	208	208	NUM
fumecheng-2860	234	2	-	-	SYM
fumecheng-2860	234	3	222	222	NUM
fumecheng-2860	234	4	.	.	PUNCT
fumecheng-2860	235	1	10	10	NUM
fumecheng-2860	235	2	.	.	PUNCT
fumecheng-2860	235	3	ciavarella	ciavarella	NOUN
fumecheng-2860	235	4	,	,	PUNCT
fumecheng-2860	235	5	m.	m.	NOUN
fumecheng-2860	235	6	,	,	PUNCT
fumecheng-2860	235	7	2013	2013	NUM
fumecheng-2860	235	8	,	,	PUNCT
fumecheng-2860	235	9	frictional	frictional	ADJ
fumecheng-2860	235	10	energy	energy	NOUN
fumecheng-2860	235	11	dissipation	dissipation	NOUN
fumecheng-2860	235	12	in	in	ADP
fumecheng-2860	235	13	hertzian	hertzian	ADJ
fumecheng-2860	235	14	contact	contact	NOUN
fumecheng-2860	235	15	under	under	ADP
fumecheng-2860	235	16	biaxial	biaxial	ADJ
fumecheng-2860	235	17	tangential	tangential	ADJ
fumecheng-2860	235	18	harmonically	harmonically	ADV
fumecheng-2860	235	19	varying	vary	VERB
fumecheng-2860	235	20	loads	load	NOUN
fumecheng-2860	235	21	,	,	PUNCT
fumecheng-2860	236	1	j.	j.	PROPN
fumecheng-2860	236	2	strain	strain	PROPN
fumecheng-2860	236	3	analysis	analysis	NOUN
fumecheng-2860	236	4	,	,	PUNCT
fumecheng-2860	236	5	49(1	49(1	NOUN
fumecheng-2860	236	6	)	)	PUNCT
fumecheng-2860	236	7	,	,	PUNCT
fumecheng-2860	236	8	pp	pp	ADJ
fumecheng-2860	236	9	.	.	PUNCT
fumecheng-2860	237	1	27–32	27–32	NUM
fumecheng-2860	237	2	.	.	PUNCT
fumecheng-2860	238	1	11	11	NUM
fumecheng-2860	238	2	.	.	PUNCT
fumecheng-2860	239	1	popov	popov	PROPN
fumecheng-2860	239	2	,	,	PUNCT
fumecheng-2860	239	3	v.l	v.l	PROPN
fumecheng-2860	239	4	.	.	PROPN
fumecheng-2860	239	5	,	,	PUNCT
fumecheng-2860	239	6	hess	hess	PROPN
fumecheng-2860	239	7	,	,	PUNCT
fumecheng-2860	239	8	m.	m.	NOUN
fumecheng-2860	239	9	,	,	PUNCT
fumecheng-2860	239	10	2014	2014	NUM
fumecheng-2860	239	11	,	,	PUNCT
fumecheng-2860	239	12	method	method	NOUN
fumecheng-2860	239	13	of	of	ADP
fumecheng-2860	239	14	dimensionality	dimensionality	NOUN
fumecheng-2860	239	15	reduction	reduction	NOUN
fumecheng-2860	239	16	in	in	ADP
fumecheng-2860	239	17	contact	contact	NOUN
fumecheng-2860	239	18	mechanics	mechanic	NOUN
fumecheng-2860	239	19	and	and	CCONJ
fumecheng-2860	239	20	friction	friction	NOUN
fumecheng-2860	239	21	:	:	PUNCT
fumecheng-2860	239	22	a	a	DET
fumecheng-2860	239	23	user	user	NOUN
fumecheng-2860	239	24	's	's	PART
fumecheng-2860	239	25	handbook	handbook	NOUN
fumecheng-2860	239	26	.	.	PUNCT
fumecheng-2860	240	1	i.	i.	PROPN
fumecheng-2860	240	2	axially	axially	ADV
fumecheng-2860	240	3	-	-	PUNCT
fumecheng-2860	240	4	symmetric	symmetric	ADJ
fumecheng-2860	240	5	contacts	contact	NOUN
fumecheng-2860	240	6	,	,	PUNCT
fumecheng-2860	240	7	facta	facta	PROPN
fumecheng-2860	240	8	univ	univ	PROPN
fumecheng-2860	240	9	.	.	PUNCT
fumecheng-2860	241	1	mech	mech	PROPN
fumecheng-2860	241	2	.	.	PUNCT
fumecheng-2860	242	1	engng	engng	PROPN
fumecheng-2860	242	2	.	.	PUNCT
fumecheng-2860	243	1	12	12	NUM
fumecheng-2860	243	2	,	,	PUNCT
fumecheng-2860	243	3	pp	pp	ADJ
fumecheng-2860	243	4	.	.	PUNCT
fumecheng-2860	244	1	1	1	NUM
fumecheng-2860	244	2	-	-	SYM
fumecheng-2860	244	3	14	14	NUM
fumecheng-2860	244	4	.	.	PUNCT
fumecheng-2860	245	1	12	12	NUM
fumecheng-2860	245	2	.	.	PUNCT
fumecheng-2860	246	1	johnson	johnson	PROPN
fumecheng-2860	246	2	,	,	PUNCT
fumecheng-2860	246	3	k.l	k.l	PROPN
fumecheng-2860	246	4	.	.	PROPN
fumecheng-2860	246	5	,	,	PUNCT
fumecheng-2860	246	6	1985	1985	NUM
fumecheng-2860	246	7	,	,	PUNCT
fumecheng-2860	246	8	contact	contact	NOUN
fumecheng-2860	246	9	mechanics	mechanic	NOUN
fumecheng-2860	246	10	,	,	PUNCT
fumecheng-2860	246	11	cambridge	cambridge	PROPN
fumecheng-2860	246	12	:	:	PUNCT
fumecheng-2860	246	13	cambridge	cambridge	PROPN
fumecheng-2860	246	14	university	university	PROPN
fumecheng-2860	246	15	press	press	NOUN
fumecheng-2860	246	16	,	,	PUNCT
fumecheng-2860	246	17	452	452	NUM
fumecheng-2860	246	18	p.	p.	NOUN