id	sid	tid	token	lemma	pos
fumecheng-4870	1	1	facta	facta	PROPN
fumecheng-4870	1	2	universitatis	universitatis	PROPN
fumecheng-4870	1	3	series	series	NOUN
fumecheng-4870	1	4	:	:	PUNCT
fumecheng-4870	1	5	mechanical	mechanical	ADJ
fumecheng-4870	1	6	engineering	engineering	NOUN
fumecheng-4870	1	7	vol	vol	NOUN
fumecheng-4870	1	8	.	.	PROPN
fumecheng-4870	2	1	17	17	NUM
fumecheng-4870	2	2	,	,	PUNCT
fumecheng-4870	2	3	no	no	DET
fumecheng-4870	2	4	1	1	NUM
fumecheng-4870	2	5	,	,	PUNCT
fumecheng-4870	2	6	2019	2019	NUM
fumecheng-4870	2	7	,	,	PUNCT
fumecheng-4870	2	8	pp	pp	ADV
fumecheng-4870	2	9	.	.	PUNCT
fumecheng-4870	3	1	87	87	NUM
fumecheng-4870	3	2	93	93	NUM
fumecheng-4870	4	1	https://doi.org/10.22190/fume190103012l	https://doi.org/10.22190/fume190103012l	PROPN
fumecheng-4870	5	1	©	©	PROPN
fumecheng-4870	5	2	2019	2019	NUM
fumecheng-4870	5	3	by	by	ADP
fumecheng-4870	5	4	university	university	PROPN
fumecheng-4870	5	5	of	of	ADP
fumecheng-4870	5	6	niš	niš	PROPN
fumecheng-4870	5	7	,	,	PUNCT
fumecheng-4870	5	8	serbia	serbia	PROPN
fumecheng-4870	5	9	|	|	ADV
fumecheng-4870	5	10	creative	creative	ADJ
fumecheng-4870	5	11	commons	common	NOUN
fumecheng-4870	5	12	licence	licence	NOUN
fumecheng-4870	5	13	:	:	PUNCT
fumecheng-4870	5	14	cc	cc	VERB
fumecheng-4870	5	15	by	by	ADP
fumecheng-4870	5	16	-	-	PUNCT
fumecheng-4870	5	17	nc	nc	VERB
fumecheng-4870	5	18	-	-	PUNCT
fumecheng-4870	5	19	nd	nd	ADP
fumecheng-4870	5	20	short	short	ADJ
fumecheng-4870	5	21	communication	communication	X
fumecheng-4870	5	22	numerical	numerical	ADJ
fumecheng-4870	5	23	implementation	implementation	NOUN
fumecheng-4870	5	24	of	of	ADP
fumecheng-4870	5	25	fretting	fret	VERB
fumecheng-4870	5	26	wear	wear	NOUN
fumecheng-4870	5	27	in	in	ADP
fumecheng-4870	5	28	the	the	DET
fumecheng-4870	5	29	framework	framework	NOUN
fumecheng-4870	5	30	of	of	ADP
fumecheng-4870	5	31	the	the	DET
fumecheng-4870	5	32	mdr	mdr	PROPN
fumecheng-4870	5	33	qiang	qiang	PROPN
fumecheng-4870	5	34	li	li	PROPN
fumecheng-4870	5	35	,	,	PUNCT
fumecheng-4870	5	36	fabian	fabian	ADJ
fumecheng-4870	5	37	forsbach	forsbach	NOUN
fumecheng-4870	5	38	,	,	PUNCT
fumecheng-4870	5	39	justus	justus	PROPN
fumecheng-4870	5	40	benad	benad	PROPN
fumecheng-4870	5	41	berlin	berlin	PROPN
fumecheng-4870	5	42	university	university	PROPN
fumecheng-4870	5	43	of	of	ADP
fumecheng-4870	5	44	technology	technology	PROPN
fumecheng-4870	5	45	,	,	PUNCT
fumecheng-4870	5	46	berlin	berlin	PROPN
fumecheng-4870	5	47	,	,	PUNCT
fumecheng-4870	5	48	germany	germany	PROPN
fumecheng-4870	5	49	abstract	abstract	NOUN
fumecheng-4870	5	50	.	.	PUNCT
fumecheng-4870	6	1	two	two	NUM
fumecheng-4870	6	2	numerical	numerical	ADJ
fumecheng-4870	6	3	methods	method	NOUN
fumecheng-4870	6	4	are	be	AUX
fumecheng-4870	6	5	proposed	propose	VERB
fumecheng-4870	6	6	to	to	PART
fumecheng-4870	6	7	improve	improve	VERB
fumecheng-4870	6	8	accuracy	accuracy	NOUN
fumecheng-4870	6	9	of	of	ADP
fumecheng-4870	6	10	the	the	DET
fumecheng-4870	6	11	numerical	numerical	ADJ
fumecheng-4870	6	12	calculation	calculation	NOUN
fumecheng-4870	6	13	of	of	ADP
fumecheng-4870	6	14	fretting	fret	VERB
fumecheng-4870	6	15	wear	wear	NOUN
fumecheng-4870	6	16	in	in	ADP
fumecheng-4870	6	17	the	the	DET
fumecheng-4870	6	18	framework	framework	NOUN
fumecheng-4870	6	19	of	of	ADP
fumecheng-4870	6	20	the	the	DET
fumecheng-4870	6	21	method	method	NOUN
fumecheng-4870	6	22	of	of	ADP
fumecheng-4870	6	23	dimensionality	dimensionality	NOUN
fumecheng-4870	6	24	reduction	reduction	NOUN
fumecheng-4870	6	25	(	(	PUNCT
fumecheng-4870	6	26	mdr	mdr	PROPN
fumecheng-4870	6	27	)	)	PUNCT
fumecheng-4870	6	28	.	.	PUNCT
fumecheng-4870	7	1	due	due	ADP
fumecheng-4870	7	2	to	to	ADP
fumecheng-4870	7	3	the	the	DET
fumecheng-4870	7	4	singularity	singularity	NOUN
fumecheng-4870	7	5	of	of	ADP
fumecheng-4870	7	6	the	the	DET
fumecheng-4870	7	7	transformation	transformation	NOUN
fumecheng-4870	7	8	equations	equation	NOUN
fumecheng-4870	7	9	,	,	PUNCT
fumecheng-4870	7	10	instabilities	instability	NOUN
fumecheng-4870	7	11	appear	appear	VERB
fumecheng-4870	7	12	at	at	ADP
fumecheng-4870	7	13	the	the	DET
fumecheng-4870	7	14	border	border	NOUN
fumecheng-4870	7	15	between	between	ADP
fumecheng-4870	7	16	the	the	DET
fumecheng-4870	7	17	stick	stick	NOUN
fumecheng-4870	7	18	and	and	CCONJ
fumecheng-4870	7	19	slip	slip	VERB
fumecheng-4870	7	20	regions	region	NOUN
fumecheng-4870	7	21	after	after	ADP
fumecheng-4870	7	22	many	many	ADJ
fumecheng-4870	7	23	transformations	transformation	NOUN
fumecheng-4870	7	24	from	from	ADP
fumecheng-4870	7	25	the	the	DET
fumecheng-4870	7	26	one	one	NUM
fumecheng-4870	7	27	-	-	PUNCT
fumecheng-4870	7	28	dimensional	dimensional	ADJ
fumecheng-4870	7	29	to	to	ADP
fumecheng-4870	7	30	the	the	DET
fumecheng-4870	7	31	three	three	NUM
fumecheng-4870	7	32	-	-	PUNCT
fumecheng-4870	7	33	dimensional	dimensional	ADJ
fumecheng-4870	7	34	contact	contact	NOUN
fumecheng-4870	7	35	and	and	CCONJ
fumecheng-4870	7	36	back	back	NOUN
fumecheng-4870	7	37	.	.	PUNCT
fumecheng-4870	8	1	in	in	ADP
fumecheng-4870	8	2	these	these	DET
fumecheng-4870	8	3	two	two	NUM
fumecheng-4870	8	4	methods	method	NOUN
fumecheng-4870	8	5	,	,	PUNCT
fumecheng-4870	8	6	the	the	DET
fumecheng-4870	8	7	transformation	transformation	NOUN
fumecheng-4870	8	8	equations	equation	NOUN
fumecheng-4870	8	9	are	be	AUX
fumecheng-4870	8	10	reformulated	reformulate	VERB
fumecheng-4870	8	11	to	to	PART
fumecheng-4870	8	12	weaken	weaken	VERB
fumecheng-4870	8	13	the	the	DET
fumecheng-4870	8	14	singularity	singularity	NOUN
fumecheng-4870	8	15	of	of	ADP
fumecheng-4870	8	16	the	the	DET
fumecheng-4870	8	17	integrals	integral	NOUN
fumecheng-4870	8	18	and	and	CCONJ
fumecheng-4870	8	19	a	a	DET
fumecheng-4870	8	20	stable	stable	ADJ
fumecheng-4870	8	21	simulation	simulation	NOUN
fumecheng-4870	8	22	of	of	ADP
fumecheng-4870	8	23	fretting	fret	VERB
fumecheng-4870	8	24	wear	wear	NOUN
fumecheng-4870	8	25	is	be	AUX
fumecheng-4870	8	26	realized	realize	VERB
fumecheng-4870	8	27	even	even	ADV
fumecheng-4870	8	28	with	with	ADP
fumecheng-4870	8	29	the	the	DET
fumecheng-4870	8	30	wear	wear	NOUN
fumecheng-4870	8	31	models	model	NOUN
fumecheng-4870	8	32	which	which	PRON
fumecheng-4870	8	33	go	go	VERB
fumecheng-4870	8	34	beyond	beyond	ADP
fumecheng-4870	8	35	the	the	DET
fumecheng-4870	8	36	classical	classical	ADJ
fumecheng-4870	8	37	archard	archard	NOUN
fumecheng-4870	8	38	law	law	NOUN
fumecheng-4870	8	39	.	.	PUNCT
fumecheng-4870	9	1	with	with	ADP
fumecheng-4870	9	2	an	an	DET
fumecheng-4870	9	3	example	example	NOUN
fumecheng-4870	9	4	of	of	ADP
fumecheng-4870	9	5	dual	dual	ADJ
fumecheng-4870	9	6	-	-	PUNCT
fumecheng-4870	9	7	oscillation	oscillation	NOUN
fumecheng-4870	9	8	,	,	PUNCT
fumecheng-4870	9	9	we	we	PRON
fumecheng-4870	9	10	show	show	VERB
fumecheng-4870	9	11	the	the	DET
fumecheng-4870	9	12	change	change	NOUN
fumecheng-4870	9	13	in	in	ADP
fumecheng-4870	9	14	the	the	DET
fumecheng-4870	9	15	worn	worn	ADJ
fumecheng-4870	9	16	profile	profile	NOUN
fumecheng-4870	9	17	of	of	ADP
fumecheng-4870	9	18	a	a	DET
fumecheng-4870	9	19	parabolic	parabolic	ADJ
fumecheng-4870	9	20	indenter	indenter	NOUN
fumecheng-4870	9	21	as	as	ADV
fumecheng-4870	9	22	well	well	ADV
fumecheng-4870	9	23	as	as	ADP
fumecheng-4870	9	24	the	the	DET
fumecheng-4870	9	25	stress	stress	NOUN
fumecheng-4870	9	26	distribution	distribution	NOUN
fumecheng-4870	9	27	on	on	ADP
fumecheng-4870	9	28	the	the	DET
fumecheng-4870	9	29	contacting	contact	VERB
fumecheng-4870	9	30	surface	surface	NOUN
fumecheng-4870	9	31	during	during	ADP
fumecheng-4870	9	32	the	the	DET
fumecheng-4870	9	33	oscillating	oscillate	VERB
fumecheng-4870	9	34	cycles	cycle	NOUN
fumecheng-4870	9	35	under	under	ADP
fumecheng-4870	9	36	the	the	DET
fumecheng-4870	9	37	archard	archard	NOUN
fumecheng-4870	9	38	’s	’s	PART
fumecheng-4870	9	39	law	law	NOUN
fumecheng-4870	9	40	of	of	ADP
fumecheng-4870	9	41	wear	wear	NOUN
fumecheng-4870	9	42	and	and	CCONJ
fumecheng-4870	9	43	coulomb	coulomb	NOUN
fumecheng-4870	9	44	’s	’s	PART
fumecheng-4870	9	45	law	law	NOUN
fumecheng-4870	9	46	of	of	ADP
fumecheng-4870	9	47	friction	friction	NOUN
fumecheng-4870	9	48	.	.	PUNCT
fumecheng-4870	10	1	key	key	ADJ
fumecheng-4870	10	2	words	word	NOUN
fumecheng-4870	10	3	:	:	PUNCT
fumecheng-4870	10	4	fretting	fret	VERB
fumecheng-4870	10	5	wear	wear	NOUN
fumecheng-4870	10	6	,	,	PUNCT
fumecheng-4870	10	7	method	method	NOUN
fumecheng-4870	10	8	of	of	ADP
fumecheng-4870	10	9	the	the	DET
fumecheng-4870	10	10	dimensionality	dimensionality	NOUN
fumecheng-4870	10	11	reduction	reduction	NOUN
fumecheng-4870	10	12	,	,	PUNCT
fumecheng-4870	10	13	singularity	singularity	NOUN
fumecheng-4870	10	14	,	,	PUNCT
fumecheng-4870	10	15	numerical	numerical	ADJ
fumecheng-4870	10	16	simulation	simulation	PROPN
fumecheng-4870	10	17	1	1	NUM
fumecheng-4870	10	18	.	.	PUNCT
fumecheng-4870	10	19	introduction	introduction	NOUN
fumecheng-4870	10	20	in	in	ADP
fumecheng-4870	10	21	recent	recent	ADJ
fumecheng-4870	10	22	years	year	NOUN
fumecheng-4870	10	23	,	,	PUNCT
fumecheng-4870	10	24	the	the	DET
fumecheng-4870	10	25	method	method	NOUN
fumecheng-4870	10	26	of	of	ADP
fumecheng-4870	10	27	the	the	DET
fumecheng-4870	10	28	dimensionality	dimensionality	NOUN
fumecheng-4870	10	29	reduction	reduction	NOUN
fumecheng-4870	10	30	has	have	AUX
fumecheng-4870	10	31	been	be	AUX
fumecheng-4870	10	32	applied	apply	VERB
fumecheng-4870	10	33	to	to	ADP
fumecheng-4870	10	34	various	various	ADJ
fumecheng-4870	10	35	contact	contact	NOUN
fumecheng-4870	10	36	problems	problem	NOUN
fumecheng-4870	10	37	.	.	PUNCT
fumecheng-4870	11	1	the	the	DET
fumecheng-4870	11	2	classic	classic	ADJ
fumecheng-4870	11	3	contacts	contact	NOUN
fumecheng-4870	11	4	of	of	ADP
fumecheng-4870	11	5	rotationally	rotationally	ADV
fumecheng-4870	11	6	symmetric	symmetric	ADJ
fumecheng-4870	11	7	indenters	indenter	NOUN
fumecheng-4870	11	8	like	like	ADP
fumecheng-4870	11	9	the	the	DET
fumecheng-4870	11	10	hertzian	hertzian	ADJ
fumecheng-4870	11	11	normal	normal	ADJ
fumecheng-4870	11	12	contact	contact	NOUN
fumecheng-4870	11	13	,	,	PUNCT
fumecheng-4870	11	14	partial	partial	ADJ
fumecheng-4870	11	15	sliding	sliding	NOUN
fumecheng-4870	11	16	,	,	PUNCT
fumecheng-4870	11	17	or	or	CCONJ
fumecheng-4870	11	18	jkr	jkr	PROPN
fumecheng-4870	11	19	(	(	PUNCT
fumecheng-4870	11	20	johnson	johnson	PROPN
fumecheng-4870	11	21	-	-	PUNCT
fumecheng-4870	11	22	kendall	kendall	PROPN
fumecheng-4870	11	23	-	-	PUNCT
fumecheng-4870	11	24	roberts)-type	roberts)-type	NOUN
fumecheng-4870	11	25	adhesive	adhesive	ADJ
fumecheng-4870	11	26	contact	contact	NOUN
fumecheng-4870	11	27	,	,	PUNCT
fumecheng-4870	11	28	etc	etc	X
fumecheng-4870	11	29	.	.	X
fumecheng-4870	11	30	can	can	AUX
fumecheng-4870	11	31	be	be	AUX
fumecheng-4870	11	32	easily	easily	ADV
fumecheng-4870	11	33	understood	understand	VERB
fumecheng-4870	11	34	and	and	CCONJ
fumecheng-4870	11	35	resolved	resolve	VERB
fumecheng-4870	11	36	very	very	ADV
fumecheng-4870	11	37	quickly	quickly	ADV
fumecheng-4870	11	38	in	in	ADP
fumecheng-4870	11	39	the	the	DET
fumecheng-4870	11	40	framework	framework	NOUN
fumecheng-4870	11	41	of	of	ADP
fumecheng-4870	11	42	the	the	DET
fumecheng-4870	11	43	mdr	mdr	PROPN
fumecheng-4870	12	1	[	[	X
fumecheng-4870	12	2	1	1	NUM
fumecheng-4870	12	3	]	]	PUNCT
fumecheng-4870	12	4	.	.	PUNCT
fumecheng-4870	13	1	a	a	DET
fumecheng-4870	13	2	similar	similar	ADJ
fumecheng-4870	13	3	approach	approach	NOUN
fumecheng-4870	13	4	,	,	PUNCT
fumecheng-4870	13	5	the	the	DET
fumecheng-4870	13	6	method	method	NOUN
fumecheng-4870	13	7	of	of	ADP
fumecheng-4870	13	8	memory	memory	NOUN
fumecheng-4870	13	9	diagrams	diagram	NOUN
fumecheng-4870	13	10	(	(	PUNCT
fumecheng-4870	13	11	mmd	mmd	PROPN
fumecheng-4870	13	12	)	)	PUNCT
fumecheng-4870	13	13	,	,	PUNCT
fumecheng-4870	13	14	provides	provide	VERB
fumecheng-4870	13	15	semi	semi	ADJ
fumecheng-4870	13	16	-	-	ADJ
fumecheng-4870	13	17	analytical	analytical	ADJ
fumecheng-4870	13	18	solutions	solution	NOUN
fumecheng-4870	13	19	for	for	ADP
fumecheng-4870	13	20	axisymmetric	axisymmetric	ADJ
fumecheng-4870	13	21	contact	contact	NOUN
fumecheng-4870	13	22	problems	problem	NOUN
fumecheng-4870	13	23	,	,	PUNCT
fumecheng-4870	13	24	for	for	ADP
fumecheng-4870	13	25	example	example	NOUN
fumecheng-4870	13	26	,	,	PUNCT
fumecheng-4870	13	27	friction	friction	NOUN
fumecheng-4870	13	28	-	-	PUNCT
fumecheng-4870	13	29	induced	induce	VERB
fumecheng-4870	13	30	energy	energy	NOUN
fumecheng-4870	13	31	loss	loss	NOUN
fumecheng-4870	13	32	[	[	X
fumecheng-4870	13	33	2	2	NUM
fumecheng-4870	13	34	]	]	PUNCT
fumecheng-4870	13	35	.	.	PUNCT
fumecheng-4870	14	1	the	the	DET
fumecheng-4870	14	2	paper	paper	NOUN
fumecheng-4870	14	3	[	[	X
fumecheng-4870	14	4	3	3	X
fumecheng-4870	14	5	]	]	PUNCT
fumecheng-4870	14	6	provides	provide	VERB
fumecheng-4870	14	7	a	a	DET
fumecheng-4870	14	8	series	series	NOUN
fumecheng-4870	14	9	of	of	ADP
fumecheng-4870	14	10	guidelines	guideline	NOUN
fumecheng-4870	14	11	for	for	ADP
fumecheng-4870	14	12	using	use	VERB
fumecheng-4870	14	13	the	the	DET
fumecheng-4870	14	14	mdr	mdr	PROPN
fumecheng-4870	14	15	in	in	ADP
fumecheng-4870	14	16	the	the	DET
fumecheng-4870	14	17	applications	application	NOUN
fumecheng-4870	14	18	of	of	ADP
fumecheng-4870	14	19	homogeneous	homogeneous	ADJ
fumecheng-4870	14	20	media	medium	NOUN
fumecheng-4870	14	21	or	or	CCONJ
fumecheng-4870	14	22	graded	grade	VERB
fumecheng-4870	14	23	material	material	NOUN
fumecheng-4870	14	24	,	,	PUNCT
fumecheng-4870	14	25	in	in	ADP
fumecheng-4870	14	26	elastic	elastic	ADJ
fumecheng-4870	14	27	and	and	CCONJ
fumecheng-4870	14	28	viscoelastic	viscoelastic	NOUN
fumecheng-4870	14	29	contacts	contact	NOUN
fumecheng-4870	14	30	.	.	PUNCT
fumecheng-4870	15	1	if	if	SCONJ
fumecheng-4870	15	2	the	the	DET
fumecheng-4870	15	3	contacting	contact	VERB
fumecheng-4870	15	4	bodies	body	NOUN
fumecheng-4870	15	5	and	and	CCONJ
fumecheng-4870	15	6	the	the	DET
fumecheng-4870	15	7	material	material	NOUN
fumecheng-4870	15	8	properties	property	NOUN
fumecheng-4870	15	9	do	do	AUX
fumecheng-4870	15	10	not	not	PART
fumecheng-4870	15	11	change	change	VERB
fumecheng-4870	15	12	in	in	ADP
fumecheng-4870	15	13	the	the	DET
fumecheng-4870	15	14	whole	whole	ADJ
fumecheng-4870	15	15	contact	contact	NOUN
fumecheng-4870	15	16	case	case	NOUN
fumecheng-4870	15	17	,	,	PUNCT
fumecheng-4870	15	18	one	one	PRON
fumecheng-4870	15	19	can	can	AUX
fumecheng-4870	15	20	obtain	obtain	VERB
fumecheng-4870	15	21	the	the	DET
fumecheng-4870	15	22	results	result	NOUN
fumecheng-4870	15	23	by	by	ADP
fumecheng-4870	15	24	simulation	simulation	NOUN
fumecheng-4870	15	25	merely	merely	ADV
fumecheng-4870	15	26	in	in	ADP
fumecheng-4870	15	27	the	the	DET
fumecheng-4870	15	28	framework	framework	NOUN
fumecheng-4870	15	29	of	of	ADP
fumecheng-4870	15	30	the	the	DET
fumecheng-4870	15	31	one	one	NUM
fumecheng-4870	15	32	-	-	PUNCT
fumecheng-4870	15	33	dimensional	dimensional	ADJ
fumecheng-4870	15	34	contact	contact	NOUN
fumecheng-4870	15	35	,	,	PUNCT
fumecheng-4870	15	36	for	for	ADP
fumecheng-4870	15	37	example	example	NOUN
fumecheng-4870	15	38	,	,	PUNCT
fumecheng-4870	15	39	relaxation	relaxation	NOUN
fumecheng-4870	15	40	damping	damp	VERB
fumecheng-4870	15	41	[	[	X
fumecheng-4870	15	42	4	4	NUM
fumecheng-4870	15	43	]	]	PUNCT
fumecheng-4870	15	44	received	receive	VERB
fumecheng-4870	15	45	january	january	PROPN
fumecheng-4870	15	46	03	03	NUM
fumecheng-4870	15	47	,	,	PUNCT
fumecheng-4870	15	48	2019	2019	NUM
fumecheng-4870	15	49	/	/	SYM
fumecheng-4870	15	50	accepted	accept	VERB
fumecheng-4870	15	51	march	march	PROPN
fumecheng-4870	15	52	01	01	NUM
fumecheng-4870	15	53	,	,	PUNCT
fumecheng-4870	15	54	2019	2019	NUM
fumecheng-4870	15	55	corresponding	correspond	VERB
fumecheng-4870	15	56	author	author	NOUN
fumecheng-4870	15	57	:	:	PUNCT
fumecheng-4870	15	58	qiang	qiang	PROPN
fumecheng-4870	15	59	,	,	PUNCT
fumecheng-4870	16	1	li	li	PROPN
fumecheng-4870	16	2	affiliation	affiliation	PROPN
fumecheng-4870	16	3	:	:	PUNCT
fumecheng-4870	16	4	berlin	berlin	PROPN
fumecheng-4870	16	5	university	university	PROPN
fumecheng-4870	16	6	of	of	ADP
fumecheng-4870	16	7	technology	technology	PROPN
fumecheng-4870	16	8	,	,	PUNCT
fumecheng-4870	16	9	sekr	sekr	PROPN
fumecheng-4870	16	10	.	.	PUNCT
fumecheng-4870	17	1	c8	c8	PROPN
fumecheng-4870	17	2	-	-	PUNCT
fumecheng-4870	17	3	4	4	PROPN
fumecheng-4870	17	4	,	,	PUNCT
fumecheng-4870	17	5	straße	straße	NOUN
fumecheng-4870	17	6	des	des	PROPN
fumecheng-4870	17	7	17	17	NUM
fumecheng-4870	17	8	.	.	PUNCT
fumecheng-4870	18	1	juni	juni	PROPN
fumecheng-4870	18	2	135	135	NUM
fumecheng-4870	18	3	,	,	PUNCT
fumecheng-4870	18	4	d-10623	d-10623	PROPN
fumecheng-4870	18	5	berlin	berlin	PROPN
fumecheng-4870	18	6	e	e	NOUN
fumecheng-4870	18	7	-	-	NOUN
fumecheng-4870	18	8	mail	mail	NOUN
fumecheng-4870	18	9	:	:	PUNCT
fumecheng-4870	18	10	qiang.li@tu	qiang.li@tu	PROPN
fumecheng-4870	18	11	-	-	PUNCT
fumecheng-4870	18	12	berlin.de	berlin.de	PROPN
fumecheng-4870	18	13	88	88	NUM
fumecheng-4870	18	14	q.	q.	PROPN
fumecheng-4870	18	15	li	li	PROPN
fumecheng-4870	18	16	,	,	PUNCT
fumecheng-4870	18	17	f.	f.	PROPN
fumecheng-4870	18	18	forsbach	forsbach	PROPN
fumecheng-4870	18	19	,	,	PUNCT
fumecheng-4870	18	20	j.	j.	PROPN
fumecheng-4870	18	21	benad	benad	PROPN
fumecheng-4870	18	22	or	or	CCONJ
fumecheng-4870	18	23	adhesive	adhesive	ADJ
fumecheng-4870	18	24	pull	pull	NOUN
fumecheng-4870	18	25	-	-	PUNCT
fumecheng-4870	18	26	off	off	NOUN
fumecheng-4870	18	27	[	[	X
fumecheng-4870	18	28	1	1	NUM
fumecheng-4870	18	29	]	]	PUNCT
fumecheng-4870	18	30	.	.	PUNCT
fumecheng-4870	19	1	however	however	ADV
fumecheng-4870	19	2	,	,	PUNCT
fumecheng-4870	19	3	in	in	ADP
fumecheng-4870	19	4	some	some	DET
fumecheng-4870	19	5	cases	case	NOUN
fumecheng-4870	19	6	,	,	PUNCT
fumecheng-4870	19	7	for	for	ADP
fumecheng-4870	19	8	example	example	NOUN
fumecheng-4870	19	9	,	,	PUNCT
fumecheng-4870	19	10	in	in	ADP
fumecheng-4870	19	11	the	the	DET
fumecheng-4870	19	12	wear	wear	NOUN
fumecheng-4870	19	13	contact	contact	NOUN
fumecheng-4870	19	14	,	,	PUNCT
fumecheng-4870	19	15	the	the	DET
fumecheng-4870	19	16	surface	surface	NOUN
fumecheng-4870	19	17	profile	profile	NOUN
fumecheng-4870	19	18	of	of	ADP
fumecheng-4870	19	19	the	the	DET
fumecheng-4870	19	20	indenter	indenter	NOUN
fumecheng-4870	19	21	changes	change	NOUN
fumecheng-4870	19	22	due	due	ADJ
fumecheng-4870	19	23	to	to	PART
fumecheng-4870	19	24	wear	wear	VERB
fumecheng-4870	19	25	so	so	SCONJ
fumecheng-4870	19	26	that	that	SCONJ
fumecheng-4870	19	27	one	one	PRON
fumecheng-4870	19	28	has	have	VERB
fumecheng-4870	19	29	to	to	PART
fumecheng-4870	19	30	come	come	VERB
fumecheng-4870	19	31	back	back	ADV
fumecheng-4870	19	32	to	to	ADP
fumecheng-4870	19	33	the	the	DET
fumecheng-4870	19	34	three	three	NUM
fumecheng-4870	19	35	-	-	PUNCT
fumecheng-4870	19	36	dimensional	dimensional	ADJ
fumecheng-4870	19	37	contact	contact	NOUN
fumecheng-4870	19	38	by	by	ADP
fumecheng-4870	19	39	using	use	VERB
fumecheng-4870	19	40	the	the	DET
fumecheng-4870	19	41	transformation	transformation	NOUN
fumecheng-4870	19	42	equations	equation	NOUN
fumecheng-4870	19	43	to	to	PART
fumecheng-4870	19	44	calculate	calculate	VERB
fumecheng-4870	19	45	a	a	DET
fumecheng-4870	19	46	new	new	ADJ
fumecheng-4870	19	47	surface	surface	NOUN
fumecheng-4870	19	48	profile	profile	NOUN
fumecheng-4870	19	49	.	.	PUNCT
fumecheng-4870	20	1	then	then	ADV
fumecheng-4870	20	2	the	the	DET
fumecheng-4870	20	3	3d	3d	PROPN
fumecheng-4870	20	4	profile	profile	NOUN
fumecheng-4870	20	5	is	be	AUX
fumecheng-4870	20	6	transformed	transform	VERB
fumecheng-4870	20	7	into	into	ADP
fumecheng-4870	20	8	the	the	DET
fumecheng-4870	20	9	corresponding	corresponding	ADJ
fumecheng-4870	20	10	new	new	ADJ
fumecheng-4870	20	11	1d	1d	NUM
fumecheng-4870	20	12	profile	profile	NOUN
fumecheng-4870	20	13	for	for	ADP
fumecheng-4870	20	14	the	the	DET
fumecheng-4870	20	15	solution	solution	NOUN
fumecheng-4870	20	16	of	of	ADP
fumecheng-4870	20	17	the	the	DET
fumecheng-4870	20	18	contact	contact	NOUN
fumecheng-4870	20	19	problem	problem	NOUN
fumecheng-4870	20	20	.	.	PUNCT
fumecheng-4870	21	1	the	the	DET
fumecheng-4870	21	2	procedure	procedure	NOUN
fumecheng-4870	21	3	is	be	AUX
fumecheng-4870	21	4	then	then	ADV
fumecheng-4870	21	5	repeated	repeat	VERB
fumecheng-4870	21	6	for	for	ADP
fumecheng-4870	21	7	the	the	DET
fumecheng-4870	21	8	whole	whole	ADJ
fumecheng-4870	21	9	contact	contact	NOUN
fumecheng-4870	21	10	.	.	PUNCT
fumecheng-4870	22	1	fig.1	fig.1	PROPN
fumecheng-4870	22	2	shows	show	VERB
fumecheng-4870	22	3	this	this	DET
fumecheng-4870	22	4	simulation	simulation	NOUN
fumecheng-4870	22	5	procedure	procedure	NOUN
fumecheng-4870	22	6	as	as	SCONJ
fumecheng-4870	22	7	presented	present	VERB
fumecheng-4870	22	8	in	in	ADP
fumecheng-4870	22	9	the	the	DET
fumecheng-4870	22	10	papers	paper	NOUN
fumecheng-4870	22	11	[	[	X
fumecheng-4870	22	12	5	5	NUM
fumecheng-4870	22	13	,	,	PUNCT
fumecheng-4870	22	14	6	6	NUM
fumecheng-4870	22	15	]	]	PUNCT
fumecheng-4870	22	16	.	.	PUNCT
fumecheng-4870	23	1	fig	fig	NOUN
fumecheng-4870	23	2	.	.	PUNCT
fumecheng-4870	24	1	1	1	NUM
fumecheng-4870	24	2	procedure	procedure	NOUN
fumecheng-4870	24	3	of	of	ADP
fumecheng-4870	24	4	numerical	numerical	ADJ
fumecheng-4870	24	5	calculation	calculation	NOUN
fumecheng-4870	24	6	of	of	ADP
fumecheng-4870	24	7	wear	wear	NOUN
fumecheng-4870	24	8	using	use	VERB
fumecheng-4870	24	9	the	the	DET
fumecheng-4870	24	10	mdr	mdr	NOUN
fumecheng-4870	24	11	these	these	DET
fumecheng-4870	24	12	transformation	transformation	NOUN
fumecheng-4870	24	13	equations	equation	NOUN
fumecheng-4870	24	14	are	be	AUX
fumecheng-4870	24	15	listed	list	VERB
fumecheng-4870	24	16	in	in	ADP
fumecheng-4870	24	17	the	the	DET
fumecheng-4870	24	18	following	following	NOUN
fumecheng-4870	24	19	for	for	ADP
fumecheng-4870	24	20	the	the	DET
fumecheng-4870	24	21	profile	profile	NOUN
fumecheng-4870	24	22	,	,	PUNCT
fumecheng-4870	24	23	from	from	ADP
fumecheng-4870	24	24	3d	3d	PROPN
fumecheng-4870	24	25	f(r	f(r	NOUN
fumecheng-4870	24	26	)	)	PUNCT
fumecheng-4870	24	27	to	to	ADP
fumecheng-4870	24	28	1d	1d	NUM
fumecheng-4870	24	29	g(x	g(x	NOUN
fumecheng-4870	24	30	)	)	PUNCT
fumecheng-4870	24	31	,	,	PUNCT
fumecheng-4870	24	32	and	and	CCONJ
fumecheng-4870	24	33	for	for	ADP
fumecheng-4870	24	34	the	the	DET
fumecheng-4870	24	35	displacement	displacement	NOUN
fumecheng-4870	24	36	and	and	CCONJ
fumecheng-4870	24	37	stress	stress	NOUN
fumecheng-4870	24	38	,	,	PUNCT
fumecheng-4870	24	39	from	from	ADP
fumecheng-4870	24	40	1d	1d	NUM
fumecheng-4870	24	41	u(x	u(x	NOUN
fumecheng-4870	24	42	)	)	PUNCT
fumecheng-4870	24	43	,	,	PUNCT
fumecheng-4870	24	44	q(x	q(x	PROPN
fumecheng-4870	24	45	)	)	PUNCT
fumecheng-4870	24	46	to	to	ADP
fumecheng-4870	24	47	3d	3d	PROPN
fumecheng-4870	24	48	w(r	w(r	PROPN
fumecheng-4870	24	49	)	)	PUNCT
fumecheng-4870	24	50	,	,	PUNCT
fumecheng-4870	24	51	p(r	p(r	NOUN
fumecheng-4870	24	52	):	):	PUNCT
fumecheng-4870	24	53	2	2	NUM
fumecheng-4870	24	54	20	20	NUM
fumecheng-4870	24	55	(	(	PUNCT
fumecheng-4870	24	56	)	)	PUNCT
fumecheng-4870	24	57	(	(	PUNCT
fumecheng-4870	24	58	)	)	PUNCT
fumecheng-4870	25	1	d	d	X
fumecheng-4870	25	2	x	x	PUNCT
fumecheng-4870	25	3	f	f	NOUN
fumecheng-4870	25	4	r	r	NOUN
fumecheng-4870	25	5	g	g	NOUN
fumecheng-4870	25	6	x	x	SYM
fumecheng-4870	25	7	x	x	PUNCT
fumecheng-4870	25	8	r	r	NOUN
fumecheng-4870	25	9	x	x	SYM
fumecheng-4870	25	10	r	r	NOUN
fumecheng-4870	25	11			CCONJ
fumecheng-4870	25	12			PROPN
fumecheng-4870	25	13			NOUN
fumecheng-4870	25	14			PUNCT
fumecheng-4870	25	15	,	,	PUNCT
fumecheng-4870	25	16	(	(	PUNCT
fumecheng-4870	25	17	1	1	X
fumecheng-4870	25	18	)	)	SYM
fumecheng-4870	25	19	2	2	NUM
fumecheng-4870	25	20	20	20	NUM
fumecheng-4870	25	21	2	2	NUM
fumecheng-4870	25	22	(	(	PUNCT
fumecheng-4870	25	23	)	)	PUNCT
fumecheng-4870	25	24	(	(	PUNCT
fumecheng-4870	25	25	)	)	PUNCT
fumecheng-4870	26	1	d	d	X
fumecheng-4870	26	2	r	r	NOUN
fumecheng-4870	26	3	u	u	NOUN
fumecheng-4870	26	4	x	x	X
fumecheng-4870	26	5	w	w	NOUN
fumecheng-4870	26	6	r	r	NOUN
fumecheng-4870	26	7	x	x	PUNCT
fumecheng-4870	26	8	r	r	NOUN
fumecheng-4870	26	9	x	x	PROPN
fumecheng-4870	27	1			PROPN
fumecheng-4870	27	2			PROPN
fumecheng-4870	27	3			PUNCT
fumecheng-4870	27	4	,	,	PUNCT
fumecheng-4870	27	5	(	(	PUNCT
fumecheng-4870	27	6	2	2	X
fumecheng-4870	27	7	)	)	SYM
fumecheng-4870	27	8	2	2	NUM
fumecheng-4870	27	9	2	2	NUM
fumecheng-4870	27	10	1	1	NUM
fumecheng-4870	27	11	(	(	PUNCT
fumecheng-4870	27	12	)	)	PUNCT
fumecheng-4870	27	13	(	(	PUNCT
fumecheng-4870	27	14	)	)	PUNCT
fumecheng-4870	28	1	d	d	X
fumecheng-4870	28	2	r	r	NOUN
fumecheng-4870	28	3	q	q	NOUN
fumecheng-4870	28	4	x	x	X
fumecheng-4870	28	5	p	p	NOUN
fumecheng-4870	28	6	r	r	NOUN
fumecheng-4870	28	7	x	x	PUNCT
fumecheng-4870	28	8	x	x	SYM
fumecheng-4870	28	9	r	r	VERB
fumecheng-4870	28	10			NOUN
fumecheng-4870	28	11			CCONJ
fumecheng-4870	28	12			NUM
fumecheng-4870	28	13			PROPN
fumecheng-4870	28	14			PROPN
fumecheng-4870	28	15			PUNCT
fumecheng-4870	28	16	.	.	PUNCT
fumecheng-4870	29	1	(	(	PUNCT
fumecheng-4870	29	2	3	3	X
fumecheng-4870	29	3	)	)	PUNCT
fumecheng-4870	29	4	these	these	DET
fumecheng-4870	29	5	abel	abel	PROPN
fumecheng-4870	29	6	equations	equation	NOUN
fumecheng-4870	29	7	have	have	VERB
fumecheng-4870	29	8	a	a	DET
fumecheng-4870	29	9	singularity	singularity	NOUN
fumecheng-4870	29	10	at	at	ADP
fumecheng-4870	29	11	point	point	NOUN
fumecheng-4870	29	12	x	x	X
fumecheng-4870	29	13	r	r	X
fumecheng-4870	29	14	.	.	PUNCT
fumecheng-4870	30	1	numerically	numerically	ADV
fumecheng-4870	30	2	,	,	PUNCT
fumecheng-4870	30	3	the	the	DET
fumecheng-4870	30	4	integral	integral	ADJ
fumecheng-4870	30	5	can	can	AUX
fumecheng-4870	30	6	be	be	AUX
fumecheng-4870	30	7	calculated	calculate	VERB
fumecheng-4870	30	8	in	in	ADP
fumecheng-4870	30	9	different	different	ADJ
fumecheng-4870	30	10	ways	way	NOUN
fumecheng-4870	30	11	,	,	PUNCT
fumecheng-4870	30	12	for	for	ADP
fumecheng-4870	30	13	example	example	NOUN
fumecheng-4870	30	14	,	,	PUNCT
fumecheng-4870	30	15	using	use	VERB
fumecheng-4870	30	16	simpson	simpson	PROPN
fumecheng-4870	30	17	’s	’s	PART
fumecheng-4870	30	18	1/3	1/3	NUM
fumecheng-4870	30	19	rd	rd	NOUN
fumecheng-4870	30	20	rule	rule	NOUN
fumecheng-4870	30	21	,	,	PUNCT
fumecheng-4870	30	22	or	or	CCONJ
fumecheng-4870	30	23	via	via	ADP
fumecheng-4870	30	24	a	a	DET
fumecheng-4870	30	25	semianalytical	semianalytical	ADJ
fumecheng-4870	30	26	technique	technique	NOUN
fumecheng-4870	30	27	with	with	ADP
fumecheng-4870	30	28	piecewise	piecewise	NOUN
fumecheng-4870	30	29	approximation	approximation	NOUN
fumecheng-4870	30	30	in	in	ADP
fumecheng-4870	30	31	a	a	DET
fumecheng-4870	30	32	segment	segment	NOUN
fumecheng-4870	30	33	by	by	ADP
fumecheng-4870	30	34	a	a	DET
fumecheng-4870	30	35	constant	constant	ADJ
fumecheng-4870	30	36	or	or	CCONJ
fumecheng-4870	30	37	linear	linear	ADJ
fumecheng-4870	30	38	profile	profile	NOUN
fumecheng-4870	30	39	[	[	X
fumecheng-4870	30	40	7	7	NUM
fumecheng-4870	30	41	,	,	PUNCT
fumecheng-4870	30	42	8	8	NUM
fumecheng-4870	30	43	]	]	PUNCT
fumecheng-4870	30	44	.	.	PUNCT
fumecheng-4870	31	1	from	from	ADP
fumecheng-4870	31	2	fig.1	fig.1	PROPN
fumecheng-4870	31	3	,	,	PUNCT
fumecheng-4870	31	4	we	we	PRON
fumecheng-4870	31	5	can	can	AUX
fumecheng-4870	31	6	see	see	VERB
fumecheng-4870	31	7	that	that	SCONJ
fumecheng-4870	31	8	in	in	ADP
fumecheng-4870	31	9	the	the	DET
fumecheng-4870	31	10	case	case	NOUN
fumecheng-4870	31	11	of	of	ADP
fumecheng-4870	31	12	numerical	numerical	ADJ
fumecheng-4870	31	13	description	description	NOUN
fumecheng-4870	31	14	of	of	ADP
fumecheng-4870	31	15	wear	wear	NOUN
fumecheng-4870	31	16	,	,	PUNCT
fumecheng-4870	31	17	the	the	DET
fumecheng-4870	31	18	transformation	transformation	NOUN
fumecheng-4870	31	19	from	from	ADP
fumecheng-4870	31	20	1d	1d	NUM
fumecheng-4870	31	21	to	to	ADP
fumecheng-4870	31	22	3d	3d	NUM
fumecheng-4870	31	23	and	and	CCONJ
fumecheng-4870	31	24	the	the	DET
fumecheng-4870	31	25	back	back	ADJ
fumecheng-4870	31	26	transformation	transformation	NOUN
fumecheng-4870	31	27	have	have	VERB
fumecheng-4870	31	28	to	to	PART
fumecheng-4870	31	29	be	be	AUX
fumecheng-4870	31	30	carried	carry	VERB
fumecheng-4870	31	31	many	many	ADJ
fumecheng-4870	31	32	times	time	NOUN
fumecheng-4870	31	33	,	,	PUNCT
fumecheng-4870	31	34	which	which	PRON
fumecheng-4870	31	35	will	will	AUX
fumecheng-4870	31	36	lead	lead	VERB
fumecheng-4870	31	37	to	to	ADP
fumecheng-4870	31	38	instability	instability	NOUN
fumecheng-4870	31	39	if	if	SCONJ
fumecheng-4870	31	40	the	the	DET
fumecheng-4870	31	41	integral	integral	ADJ
fumecheng-4870	31	42	is	be	AUX
fumecheng-4870	31	43	numerically	numerically	ADV
fumecheng-4870	31	44	approximated	approximate	VERB
fumecheng-4870	31	45	with	with	ADP
fumecheng-4870	31	46	a	a	DET
fumecheng-4870	31	47	low	low	ADJ
fumecheng-4870	31	48	accuracy	accuracy	NOUN
fumecheng-4870	31	49	.	.	PUNCT
fumecheng-4870	32	1	in	in	ADP
fumecheng-4870	32	2	the	the	DET
fumecheng-4870	32	3	recent	recent	ADJ
fumecheng-4870	32	4	paper	paper	NOUN
fumecheng-4870	32	5	[	[	X
fumecheng-4870	32	6	9	9	NUM
fumecheng-4870	32	7	]	]	PUNCT
fumecheng-4870	32	8	,	,	PUNCT
fumecheng-4870	32	9	the	the	DET
fumecheng-4870	32	10	transformations	transformation	NOUN
fumecheng-4870	32	11	(	(	PUNCT
fumecheng-4870	32	12	1)-(3	1)-(3	NUM
fumecheng-4870	32	13	)	)	PUNCT
fumecheng-4870	32	14	are	be	AUX
fumecheng-4870	32	15	rewritten	rewrite	VERB
fumecheng-4870	32	16	by	by	ADP
fumecheng-4870	32	17	using	use	VERB
fumecheng-4870	32	18	the	the	DET
fumecheng-4870	32	19	integration	integration	NOUN
fumecheng-4870	32	20	by	by	ADP
fumecheng-4870	32	21	parts	part	NOUN
fumecheng-4870	32	22	to	to	PART
fumecheng-4870	32	23	avoid	avoid	VERB
fumecheng-4870	32	24	the	the	DET
fumecheng-4870	32	25	singularity	singularity	NOUN
fumecheng-4870	32	26	,	,	PUNCT
fumecheng-4870	32	27	and	and	CCONJ
fumecheng-4870	32	28	the	the	DET
fumecheng-4870	32	29	corresponding	corresponding	ADJ
fumecheng-4870	32	30	numerical	numerical	ADJ
fumecheng-4870	32	31	implementation	implementation	NOUN
fumecheng-4870	32	32	is	be	AUX
fumecheng-4870	32	33	given	give	VERB
fumecheng-4870	32	34	in	in	ADP
fumecheng-4870	32	35	detail	detail	NOUN
fumecheng-4870	32	36	.	.	PUNCT
fumecheng-4870	33	1	with	with	ADP
fumecheng-4870	33	2	an	an	DET
fumecheng-4870	33	3	example	example	NOUN
fumecheng-4870	33	4	of	of	ADP
fumecheng-4870	33	5	gross	gross	ADJ
fumecheng-4870	33	6	slip	slip	NOUN
fumecheng-4870	33	7	wear	wear	NOUN
fumecheng-4870	33	8	,	,	PUNCT
fumecheng-4870	33	9	this	this	DET
fumecheng-4870	33	10	method	method	NOUN
fumecheng-4870	33	11	shows	show	VERB
fumecheng-4870	33	12	very	very	ADV
fumecheng-4870	33	13	accurate	accurate	ADJ
fumecheng-4870	33	14	results	result	NOUN
fumecheng-4870	33	15	,	,	PUNCT
fumecheng-4870	33	16	where	where	SCONJ
fumecheng-4870	33	17	,	,	PUNCT
fumecheng-4870	33	18	however	however	ADV
fumecheng-4870	33	19	,	,	PUNCT
fumecheng-4870	33	20	only	only	ADV
fumecheng-4870	33	21	transformations	transformation	NOUN
fumecheng-4870	33	22	(	(	PUNCT
fumecheng-4870	33	23	1	1	NUM
fumecheng-4870	33	24	)	)	PUNCT
fumecheng-4870	33	25	and	and	CCONJ
fumecheng-4870	33	26	(	(	PUNCT
fumecheng-4870	33	27	3	3	X
fumecheng-4870	33	28	)	)	PUNCT
fumecheng-4870	33	29	are	be	AUX
fumecheng-4870	33	30	necessary	necessary	ADJ
fumecheng-4870	33	31	.	.	PUNCT
fumecheng-4870	34	1	in	in	ADP
fumecheng-4870	34	2	the	the	DET
fumecheng-4870	34	3	fretting	fret	VERB
fumecheng-4870	34	4	wear	wear	NOUN
fumecheng-4870	34	5	,	,	PUNCT
fumecheng-4870	34	6	we	we	PRON
fumecheng-4870	34	7	observe	observe	VERB
fumecheng-4870	34	8	instability	instability	NOUN
fumecheng-4870	34	9	using	use	VERB
fumecheng-4870	34	10	the	the	DET
fumecheng-4870	34	11	same	same	ADJ
fumecheng-4870	34	12	method	method	NOUN
fumecheng-4870	34	13	where	where	SCONJ
fumecheng-4870	34	14	the	the	DET
fumecheng-4870	34	15	eq	eq	NOUN
fumecheng-4870	34	16	.	.	PUNCT
fumecheng-4870	35	1	(	(	PUNCT
fumecheng-4870	35	2	2	2	X
fumecheng-4870	35	3	)	)	PUNCT
fumecheng-4870	35	4	is	be	AUX
fumecheng-4870	35	5	also	also	ADV
fumecheng-4870	35	6	involved	involve	VERB
fumecheng-4870	35	7	.	.	PUNCT
fumecheng-4870	36	1	in	in	ADP
fumecheng-4870	36	2	this	this	DET
fumecheng-4870	36	3	short	short	ADJ
fumecheng-4870	36	4	communication	communication	NOUN
fumecheng-4870	36	5	,	,	PUNCT
fumecheng-4870	36	6	we	we	PRON
fumecheng-4870	36	7	will	will	AUX
fumecheng-4870	36	8	give	give	VERB
fumecheng-4870	36	9	two	two	NUM
fumecheng-4870	36	10	further	further	ADJ
fumecheng-4870	36	11	approaches	approach	NOUN
fumecheng-4870	36	12	to	to	PART
fumecheng-4870	36	13	improve	improve	VERB
fumecheng-4870	36	14	the	the	DET
fumecheng-4870	36	15	integral	integral	ADJ
fumecheng-4870	36	16	precision	precision	NOUN
fumecheng-4870	36	17	and	and	CCONJ
fumecheng-4870	36	18	stability	stability	NOUN
fumecheng-4870	36	19	in	in	ADP
fumecheng-4870	36	20	the	the	DET
fumecheng-4870	36	21	fretting	fret	VERB
fumecheng-4870	36	22	wear	wear	NOUN
fumecheng-4870	36	23	simulation	simulation	NOUN
fumecheng-4870	36	24	.	.	PUNCT
fumecheng-4870	37	1	numerical	numerical	ADJ
fumecheng-4870	37	2	implementation	implementation	NOUN
fumecheng-4870	37	3	of	of	ADP
fumecheng-4870	37	4	fretting	fret	VERB
fumecheng-4870	37	5	wear	wear	NOUN
fumecheng-4870	37	6	in	in	ADP
fumecheng-4870	37	7	the	the	DET
fumecheng-4870	37	8	framework	framework	NOUN
fumecheng-4870	37	9	of	of	ADP
fumecheng-4870	37	10	the	the	DET
fumecheng-4870	37	11	mdr	mdr	PROPN
fumecheng-4870	37	12	89	89	NUM
fumecheng-4870	37	13	2	2	NUM
fumecheng-4870	37	14	.	.	PUNCT
fumecheng-4870	37	15	methods	method	NOUN
fumecheng-4870	37	16	2.1	2.1	NUM
fumecheng-4870	37	17	.	.	PUNCT
fumecheng-4870	38	1	method	method	VERB
fumecheng-4870	38	2	a	a	DET
fumecheng-4870	38	3	as	as	SCONJ
fumecheng-4870	38	4	suggested	suggest	VERB
fumecheng-4870	38	5	in	in	ADP
fumecheng-4870	38	6	[	[	X
fumecheng-4870	38	7	10	10	NUM
fumecheng-4870	38	8	]	]	PUNCT
fumecheng-4870	38	9	,	,	PUNCT
fumecheng-4870	38	10	the	the	DET
fumecheng-4870	38	11	singularity	singularity	NOUN
fumecheng-4870	38	12	of	of	ADP
fumecheng-4870	38	13	the	the	DET
fumecheng-4870	38	14	integrand	integrand	NOUN
fumecheng-4870	38	15	can	can	AUX
fumecheng-4870	38	16	be	be	AUX
fumecheng-4870	38	17	weakened	weaken	VERB
fumecheng-4870	38	18	by	by	ADP
fumecheng-4870	38	19	splitting	split	VERB
fumecheng-4870	38	20	it	it	PRON
fumecheng-4870	38	21	into	into	ADP
fumecheng-4870	38	22	two	two	NUM
fumecheng-4870	38	23	parts	part	NOUN
fumecheng-4870	38	24	to	to	PART
fumecheng-4870	38	25	improve	improve	VERB
fumecheng-4870	38	26	accuracy	accuracy	NOUN
fumecheng-4870	38	27	of	of	ADP
fumecheng-4870	38	28	an	an	DET
fumecheng-4870	38	29	approximate	approximate	ADJ
fumecheng-4870	38	30	integration	integration	NOUN
fumecheng-4870	38	31	.	.	PUNCT
fumecheng-4870	39	1	focusing	focus	VERB
fumecheng-4870	39	2	on	on	ADP
fumecheng-4870	39	3	the	the	DET
fumecheng-4870	39	4	eq	eq	NOUN
fumecheng-4870	39	5	.	.	PUNCT
fumecheng-4870	40	1	(	(	PUNCT
fumecheng-4870	40	2	2	2	NUM
fumecheng-4870	40	3	)	)	PUNCT
fumecheng-4870	40	4	,	,	PUNCT
fumecheng-4870	40	5	it	it	PRON
fumecheng-4870	40	6	can	can	AUX
fumecheng-4870	40	7	be	be	AUX
fumecheng-4870	40	8	rewritten	rewrite	VERB
fumecheng-4870	40	9	as	as	ADP
fumecheng-4870	40	10	1	1	NUM
fumecheng-4870	40	11	2	2	NUM
fumecheng-4870	40	12	2	2	NUM
fumecheng-4870	40	13	2	2	NUM
fumecheng-4870	40	14	2	2	NUM
fumecheng-4870	40	15	20	20	NUM
fumecheng-4870	40	16	2	2	NUM
fumecheng-4870	40	17	(	(	PUNCT
fumecheng-4870	40	18	)	)	PUNCT
fumecheng-4870	40	19	(	(	PUNCT
fumecheng-4870	40	20	)	)	PUNCT
fumecheng-4870	40	21	(	(	PUNCT
fumecheng-4870	40	22	)	)	PUNCT
fumecheng-4870	41	1	d	d	X
fumecheng-4870	41	2	r	r	NOUN
fumecheng-4870	41	3	u	u	X
fumecheng-4870	41	4	x	x	X
fumecheng-4870	41	5	u	u	NOUN
fumecheng-4870	41	6	x	x	X
fumecheng-4870	41	7	w	w	NOUN
fumecheng-4870	41	8	r	r	NOUN
fumecheng-4870	41	9	x	x	PUNCT
fumecheng-4870	41	10	r	r	NOUN
fumecheng-4870	41	11	x	x	PUNCT
fumecheng-4870	41	12	r	r	NOUN
fumecheng-4870	41	13	x	x	PROPN
fumecheng-4870	41	14			NOUN
fumecheng-4870	41	15			NOUN
fumecheng-4870	41	16			PROPN
fumecheng-4870	41	17			PROPN
fumecheng-4870	41	18			PROPN
fumecheng-4870	41	19			NOUN
fumecheng-4870	41	20			NOUN
fumecheng-4870	41	21			NOUN
fumecheng-4870	41	22			PUNCT
fumecheng-4870	41	23	,	,	PUNCT
fumecheng-4870	41	24	(	(	PUNCT
fumecheng-4870	41	25	4	4	X
fumecheng-4870	41	26	)	)	PUNCT
fumecheng-4870	41	27	with	with	ADP
fumecheng-4870	41	28	1	1	NUM
fumecheng-4870	41	29	(	(	PUNCT
fumecheng-4870	41	30	)	)	PUNCT
fumecheng-4870	41	31	(	(	PUNCT
fumecheng-4870	41	32	)	)	PUNCT
fumecheng-4870	41	33	u	u	NOUN
fumecheng-4870	41	34	x	x	NOUN
fumecheng-4870	41	35	xu	xu	PROPN
fumecheng-4870	41	36	x	x	PROPN
fumecheng-4870	41	37	,	,	PUNCT
fumecheng-4870	41	38	2	2	NUM
fumecheng-4870	41	39	(	(	PUNCT
fumecheng-4870	41	40	)	)	PUNCT
fumecheng-4870	41	41	(	(	PUNCT
fumecheng-4870	41	42	)	)	PUNCT
fumecheng-4870	41	43	(	(	PUNCT
fumecheng-4870	41	44	)	)	PUNCT
fumecheng-4870	41	45	u	u	NOUN
fumecheng-4870	41	46	x	x	X
fumecheng-4870	41	47	u	u	NOUN
fumecheng-4870	41	48	x	x	PROPN
fumecheng-4870	41	49	xu	xu	PROPN
fumecheng-4870	41	50	x	x	PROPN
fumecheng-4870	41	51			PROPN
fumecheng-4870	41	52	.	.	PUNCT
fumecheng-4870	42	1	(	(	PUNCT
fumecheng-4870	42	2	5	5	NUM
fumecheng-4870	42	3	)	)	PUNCT
fumecheng-4870	42	4	eq	eq	NOUN
fumecheng-4870	42	5	.	.	PUNCT
fumecheng-4870	43	1	(	(	PUNCT
fumecheng-4870	43	2	4	4	X
fumecheng-4870	43	3	)	)	PUNCT
fumecheng-4870	43	4	can	can	AUX
fumecheng-4870	43	5	further	far	ADV
fumecheng-4870	43	6	be	be	AUX
fumecheng-4870	43	7	written	write	VERB
fumecheng-4870	43	8	with	with	ADP
fumecheng-4870	43	9	a	a	DET
fumecheng-4870	43	10	derivative	derivative	NOUN
fumecheng-4870	43	11	:	:	PUNCT
fumecheng-4870	43	12			ADJ
fumecheng-4870	43	13			NOUN
fumecheng-4870	43	14	2	2	NUM
fumecheng-4870	43	15	2	2	NUM
fumecheng-4870	43	16	1	1	NUM
fumecheng-4870	43	17	0	0	NUM
fumecheng-4870	43	18	2	2	NUM
fumecheng-4870	43	19	d	d	NOUN
fumecheng-4870	43	20	dsin	dsin	NOUN
fumecheng-4870	43	21	(	(	PUNCT
fumecheng-4870	43	22	)	)	PUNCT
fumecheng-4870	43	23	(	(	PUNCT
fumecheng-4870	43	24	)	)	PUNCT
fumecheng-4870	43	25	(	(	PUNCT
fumecheng-4870	43	26	)	)	PUNCT
fumecheng-4870	43	27	(	(	PUNCT
fumecheng-4870	43	28	)	)	PUNCT
fumecheng-4870	43	29	(	(	PUNCT
fumecheng-4870	43	30	)	)	PUNCT
fumecheng-4870	44	1	d	d	X
fumecheng-4870	44	2	d	d	NOUN
fumecheng-4870	44	3	d	d	X
fumecheng-4870	44	4	r	r	NOUN
fumecheng-4870	44	5	r	r	NOUN
fumecheng-4870	44	6	x	x	PUNCT
fumecheng-4870	44	7	x	x	PUNCT
fumecheng-4870	44	8	r	r	NOUN
fumecheng-4870	44	9	w	w	NOUN
fumecheng-4870	44	10	r	r	NOUN
fumecheng-4870	44	11	u	u	NOUN
fumecheng-4870	44	12	x	x	X
fumecheng-4870	44	13	u	u	NOUN
fumecheng-4870	44	14	x	x	X
fumecheng-4870	44	15	x	x	PUNCT
fumecheng-4870	44	16	u	u	NOUN
fumecheng-4870	44	17	x	x	NOUN
fumecheng-4870	44	18	x	x	PUNCT
fumecheng-4870	44	19	x	x	X
fumecheng-4870	44	20	x	x	PROPN
fumecheng-4870	44	21			PROPN
fumecheng-4870	44	22			ADJ
fumecheng-4870	44	23			PROPN
fumecheng-4870	44	24			PROPN
fumecheng-4870	44	25			PROPN
fumecheng-4870	44	26			PUNCT
fumecheng-4870	44	27			NOUN
fumecheng-4870	44	28			PROPN
fumecheng-4870	44	29			NUM
fumecheng-4870	44	30			PROPN
fumecheng-4870	44	31			PROPN
fumecheng-4870	44	32			PROPN
fumecheng-4870	44	33			ADJ
fumecheng-4870	44	34			NOUN
fumecheng-4870	44	35			PUNCT
fumecheng-4870	44	36	.	.	PUNCT
fumecheng-4870	45	1	(	(	PUNCT
fumecheng-4870	45	2	6	6	X
fumecheng-4870	45	3	)	)	PUNCT
fumecheng-4870	45	4	this	this	DET
fumecheng-4870	45	5	integral	integral	NOUN
fumecheng-4870	45	6	can	can	AUX
fumecheng-4870	45	7	be	be	AUX
fumecheng-4870	45	8	numerically	numerically	ADV
fumecheng-4870	45	9	calculated	calculate	VERB
fumecheng-4870	45	10	with	with	ADP
fumecheng-4870	45	11	greater	great	ADJ
fumecheng-4870	45	12	accuracy	accuracy	NOUN
fumecheng-4870	45	13	than	than	ADP
fumecheng-4870	45	14	eq	eq	ADJ
fumecheng-4870	45	15	.	.	PUNCT
fumecheng-4870	46	1	(	(	PUNCT
fumecheng-4870	46	2	2	2	NUM
fumecheng-4870	46	3	)	)	PUNCT
fumecheng-4870	46	4	.	.	PUNCT
fumecheng-4870	47	1	in	in	ADP
fumecheng-4870	47	2	a	a	DET
fumecheng-4870	47	3	discrete	discrete	ADJ
fumecheng-4870	47	4	form	form	NOUN
fumecheng-4870	47	5	,	,	PUNCT
fumecheng-4870	47	6	eq	eq	NOUN
fumecheng-4870	47	7	.	.	PUNCT
fumecheng-4870	47	8	(	(	PUNCT
fumecheng-4870	47	9	6	6	NUM
fumecheng-4870	47	10	)	)	PUNCT
fumecheng-4870	47	11	is	be	AUX
fumecheng-4870	47	12			NOUN
fumecheng-4870	47	13	2	2	ADJ
fumecheng-4870	47	14	2	2	NUM
fumecheng-4870	47	15	2	2	NUM
fumecheng-4870	47	16	2	2	NUM
fumecheng-4870	47	17	1	1	NUM
fumecheng-4870	47	18	1	1	NUM
fumecheng-4870	47	19	1	1	NUM
fumecheng-4870	47	20	111	111	NUM
fumecheng-4870	47	21	2	2	NUM
fumecheng-4870	47	22	(	(	PUNCT
fumecheng-4870	47	23	)	)	PUNCT
fumecheng-4870	47	24	sin	sin	VERB
fumecheng-4870	47	25	sin	sin	NOUN
fumecheng-4870	48	1	k	k	PROPN
fumecheng-4870	48	2	j	j	PROPN
fumecheng-4870	49	1	k	k	PROPN
fumecheng-4870	49	2	j	j	PROPN
fumecheng-4870	50	1	k	k	PROPN
fumecheng-4870	50	2	j	j	PROPN
fumecheng-4870	51	1	j	j	PROPN
fumecheng-4870	52	1	k	k	PROPN
fumecheng-4870	52	2	kk	kk	PROPN
fumecheng-4870	53	1	k	k	PROPN
fumecheng-4870	53	2	k	k	PROPN
fumecheng-4870	54	1	k	k	PROPN
fumecheng-4870	54	2	j	j	PROPN
fumecheng-4870	55	1	j	j	PROPN
fumecheng-4870	55	2	u	u	NOUN
fumecheng-4870	55	3	r	r	NOUN
fumecheng-4870	55	4	x	x	SYM
fumecheng-4870	55	5	r	r	NOUN
fumecheng-4870	55	6	x	x	X
fumecheng-4870	55	7	w	w	NOUN
fumecheng-4870	55	8	x	x	X
fumecheng-4870	55	9	x	x	PUNCT
fumecheng-4870	55	10	u	u	X
fumecheng-4870	55	11	u	u	NOUN
fumecheng-4870	55	12	x	x	NOUN
fumecheng-4870	55	13	r	r	NOUN
fumecheng-4870	55	14	r	r	NOUN
fumecheng-4870	55	15			ADJ
fumecheng-4870	55	16			ADJ
fumecheng-4870	55	17			PROPN
fumecheng-4870	55	18			PROPN
fumecheng-4870	55	19			PRON
fumecheng-4870	55	20			PROPN
fumecheng-4870	55	21			X
fumecheng-4870	55	22			PROPN
fumecheng-4870	55	23			PROPN
fumecheng-4870	55	24			PUNCT
fumecheng-4870	55	25			PROPN
fumecheng-4870	55	26			PROPN
fumecheng-4870	55	27			PROPN
fumecheng-4870	55	28			NOUN
fumecheng-4870	55	29			NUM
fumecheng-4870	55	30			NOUN
fumecheng-4870	55	31			PROPN
fumecheng-4870	55	32			PROPN
fumecheng-4870	55	33			NOUN
fumecheng-4870	55	34			VERB
fumecheng-4870	55	35			NOUN
fumecheng-4870	55	36			PROPN
fumecheng-4870	55	37			PROPN
fumecheng-4870	55	38			PROPN
fumecheng-4870	55	39			NOUN
fumecheng-4870	55	40			NOUN
fumecheng-4870	56	1			PROPN
fumecheng-4870	56	2			PROPN
fumecheng-4870	56	3			PROPN
fumecheng-4870	56	4			PROPN
fumecheng-4870	57	1			PROPN
fumecheng-4870	57	2			PROPN
fumecheng-4870	57	3			NOUN
fumecheng-4870	58	1			PROPN
fumecheng-4870	58	2			NOUN
fumecheng-4870	58	3			NOUN
fumecheng-4870	58	4			NOUN
fumecheng-4870	58	5			PROPN
fumecheng-4870	58	6			NOUN
fumecheng-4870	58	7			PROPN
fumecheng-4870	58	8			PROPN
fumecheng-4870	58	9			X
fumecheng-4870	58	10	.	.	PUNCT
fumecheng-4870	59	1	(	(	PUNCT
fumecheng-4870	59	2	7	7	X
fumecheng-4870	59	3	)	)	PUNCT
fumecheng-4870	59	4	first	first	ADJ
fumecheng-4870	59	5	derivative	derivative	NOUN
fumecheng-4870	59	6	u΄k	u΄k	VERB
fumecheng-4870	59	7	is	be	AUX
fumecheng-4870	59	8	obtained	obtain	VERB
fumecheng-4870	59	9	via	via	ADP
fumecheng-4870	59	10	forward	forward	ADJ
fumecheng-4870	59	11	difference	difference	NOUN
fumecheng-4870	59	12	.	.	PUNCT
fumecheng-4870	60	1	for	for	ADP
fumecheng-4870	60	2	eqs	eqs	PROPN
fumecheng-4870	60	3	.	.	PUNCT
fumecheng-4870	61	1	(	(	PUNCT
fumecheng-4870	61	2	1	1	X
fumecheng-4870	61	3	)	)	PUNCT
fumecheng-4870	61	4	and	and	CCONJ
fumecheng-4870	61	5	(	(	PUNCT
fumecheng-4870	61	6	3	3	NUM
fumecheng-4870	61	7	)	)	PUNCT
fumecheng-4870	61	8	,	,	PUNCT
fumecheng-4870	61	9	however	however	ADV
fumecheng-4870	61	10	,	,	PUNCT
fumecheng-4870	61	11	we	we	PRON
fumecheng-4870	61	12	use	use	VERB
fumecheng-4870	61	13	the	the	DET
fumecheng-4870	61	14	method	method	NOUN
fumecheng-4870	61	15	from	from	ADP
fumecheng-4870	61	16	the	the	DET
fumecheng-4870	61	17	recent	recent	ADJ
fumecheng-4870	61	18	paper	paper	NOUN
fumecheng-4870	62	1	[	[	X
fumecheng-4870	62	2	9	9	X
fumecheng-4870	62	3	]	]	PUNCT
fumecheng-4870	62	4	which	which	PRON
fumecheng-4870	62	5	gives	give	VERB
fumecheng-4870	62	6	highly	highly	ADV
fumecheng-4870	62	7	accurate	accurate	ADJ
fumecheng-4870	62	8	results	result	NOUN
fumecheng-4870	62	9	.	.	PUNCT
fumecheng-4870	63	1	2.2	2.2	NUM
fumecheng-4870	63	2	.	.	PUNCT
fumecheng-4870	64	1	method	method	PROPN
fumecheng-4870	64	2	b	b	PROPN
fumecheng-4870	64	3	here	here	ADV
fumecheng-4870	64	4	we	we	PRON
fumecheng-4870	64	5	rewrite	rewrite	VERB
fumecheng-4870	64	6	all	all	DET
fumecheng-4870	64	7	the	the	DET
fumecheng-4870	64	8	three	three	NUM
fumecheng-4870	64	9	transformations	transformation	NOUN
fumecheng-4870	64	10	(	(	PUNCT
fumecheng-4870	64	11	1)-(3	1)-(3	NUM
fumecheng-4870	64	12	)	)	PUNCT
fumecheng-4870	64	13	simply	simply	ADV
fumecheng-4870	64	14	in	in	ADP
fumecheng-4870	64	15	the	the	DET
fumecheng-4870	64	16	following	follow	VERB
fumecheng-4870	64	17	form	form	NOUN
fumecheng-4870	64	18	1	1	NUM
fumecheng-4870	64	19	0	0	NUM
fumecheng-4870	64	20	dsin	dsin	NOUN
fumecheng-4870	64	21	(	(	PUNCT
fumecheng-4870	64	22	/	/	SYM
fumecheng-4870	64	23	)	)	PUNCT
fumecheng-4870	64	24	(	(	PUNCT
fumecheng-4870	64	25	)	)	PUNCT
fumecheng-4870	64	26	(	(	PUNCT
fumecheng-4870	64	27	)	)	PUNCT
fumecheng-4870	65	1	d	d	X
fumecheng-4870	65	2	d	d	NOUN
fumecheng-4870	65	3	x	x	PUNCT
fumecheng-4870	65	4	r	r	NOUN
fumecheng-4870	65	5	x	x	SYM
fumecheng-4870	65	6	g	g	NOUN
fumecheng-4870	65	7	x	x	NOUN
fumecheng-4870	65	8	x	x	X
fumecheng-4870	65	9	f	f	NOUN
fumecheng-4870	65	10	r	r	NOUN
fumecheng-4870	65	11	r	r	NOUN
fumecheng-4870	65	12	r	r	NOUN
fumecheng-4870	65	13			NOUN
fumecheng-4870	65	14			PROPN
fumecheng-4870	65	15			PROPN
fumecheng-4870	65	16	,	,	PUNCT
fumecheng-4870	65	17	(	(	PUNCT
fumecheng-4870	65	18	8)	8)	NUM
fumecheng-4870	65	19	1	1	NUM
fumecheng-4870	65	20	0	0	NUM
fumecheng-4870	65	21	2	2	NUM
fumecheng-4870	65	22	dsin	dsin	NOUN
fumecheng-4870	65	23	(	(	PUNCT
fumecheng-4870	65	24	/	/	SYM
fumecheng-4870	65	25	)	)	PUNCT
fumecheng-4870	65	26	(	(	PUNCT
fumecheng-4870	65	27	)	)	PUNCT
fumecheng-4870	65	28	(	(	PUNCT
fumecheng-4870	65	29	)	)	PUNCT
fumecheng-4870	66	1	d	d	X
fumecheng-4870	66	2	d	d	NOUN
fumecheng-4870	66	3	r	r	NOUN
fumecheng-4870	66	4	x	x	SYM
fumecheng-4870	66	5	r	r	NOUN
fumecheng-4870	66	6	w	w	NOUN
fumecheng-4870	66	7	r	r	NOUN
fumecheng-4870	66	8	u	u	NOUN
fumecheng-4870	66	9	x	x	PROPN
fumecheng-4870	66	10	x	x	PROPN
fumecheng-4870	66	11	x	x	PROPN
fumecheng-4870	66	12			PROPN
fumecheng-4870	66	13			PROPN
fumecheng-4870	66	14			PROPN
fumecheng-4870	66	15	,	,	PUNCT
fumecheng-4870	66	16	(	(	PUNCT
fumecheng-4870	66	17	9	9	X
fumecheng-4870	66	18	)	)	SYM
fumecheng-4870	66	19	11	11	NUM
fumecheng-4870	66	20	dcosh	dcosh	NOUN
fumecheng-4870	66	21	(	(	PUNCT
fumecheng-4870	66	22	/	/	SYM
fumecheng-4870	66	23	)	)	PUNCT
fumecheng-4870	66	24	(	(	PUNCT
fumecheng-4870	66	25	)	)	PUNCT
fumecheng-4870	66	26	(	(	PUNCT
fumecheng-4870	66	27	)	)	PUNCT
fumecheng-4870	67	1	d	d	X
fumecheng-4870	67	2	dr	dr	PROPN
fumecheng-4870	67	3	x	x	PROPN
fumecheng-4870	67	4	r	r	NOUN
fumecheng-4870	67	5	p	p	NOUN
fumecheng-4870	67	6	r	r	NOUN
fumecheng-4870	67	7	q	q	NOUN
fumecheng-4870	67	8	x	x	X
fumecheng-4870	67	9	x	x	PUNCT
fumecheng-4870	67	10	x	x	PROPN
fumecheng-4870	67	11			PROPN
fumecheng-4870	67	12			VERB
fumecheng-4870	67	13			PRON
fumecheng-4870	67	14			NOUN
fumecheng-4870	67	15			PROPN
fumecheng-4870	67	16	.	.	PUNCT
fumecheng-4870	68	1	(	(	PUNCT
fumecheng-4870	68	2	10	10	NUM
fumecheng-4870	68	3	)	)	PUNCT
fumecheng-4870	68	4	using	use	VERB
fumecheng-4870	68	5	the	the	DET
fumecheng-4870	68	6	trapezoidal	trapezoidal	ADJ
fumecheng-4870	68	7	method	method	NOUN
fumecheng-4870	68	8	,	,	PUNCT
fumecheng-4870	68	9	they	they	PRON
fumecheng-4870	68	10	can	can	AUX
fumecheng-4870	68	11	be	be	AUX
fumecheng-4870	68	12	written	write	VERB
fumecheng-4870	68	13	in	in	ADP
fumecheng-4870	68	14	the	the	DET
fumecheng-4870	68	15	discrete	discrete	ADJ
fumecheng-4870	68	16	form	form	NOUN
fumecheng-4870	68	17	1	1	NUM
fumecheng-4870	68	18	11	11	NUM
fumecheng-4870	68	19	1	1	NUM
fumecheng-4870	68	20	2	2	NUM
fumecheng-4870	68	21	sin	sin	NOUN
fumecheng-4870	68	22	(	(	PUNCT
fumecheng-4870	68	23	/	/	SYM
fumecheng-4870	68	24	)	)	PUNCT
fumecheng-4870	68	25	sin	sin	NOUN
fumecheng-4870	68	26	(	(	PUNCT
fumecheng-4870	68	27	/	/	SYM
fumecheng-4870	68	28	)	)	PUNCT
fumecheng-4870	68	29	2	2	NUM
fumecheng-4870	69	1	k	k	NOUN
fumecheng-4870	69	2	j	j	PROPN
fumecheng-4870	70	1	k	k	PROPN
fumecheng-4870	70	2	k	k	PROPN
fumecheng-4870	71	1	j	j	PROPN
fumecheng-4870	72	1	k	k	PROPN
fumecheng-4870	72	2	k	k	PROPN
fumecheng-4870	72	3	j	j	PROPN
fumecheng-4870	73	1	k	k	PROPN
fumecheng-4870	73	2	j	j	PROPN
fumecheng-4870	74	1	k	k	PROPN
fumecheng-4870	74	2	f	f	PROPN
fumecheng-4870	75	1	f	f	X
fumecheng-4870	75	2	g	g	PROPN
fumecheng-4870	75	3	x	x	SYM
fumecheng-4870	75	4	r	r	NOUN
fumecheng-4870	75	5	x	x	SYM
fumecheng-4870	75	6	r	r	NOUN
fumecheng-4870	75	7	x	x	SYM
fumecheng-4870	75	8			PRON
fumecheng-4870	75	9			X
fumecheng-4870	75	10			PUNCT
fumecheng-4870	75	11			VERB
fumecheng-4870	75	12			PRON
fumecheng-4870	76	1			PROPN
fumecheng-4870	76	2			ADV
fumecheng-4870	76	3			PROPN
fumecheng-4870	76	4			PROPN
fumecheng-4870	76	5			ADJ
fumecheng-4870	76	6			PROPN
fumecheng-4870	76	7			PROPN
fumecheng-4870	76	8			VERB
fumecheng-4870	76	9			ADJ
fumecheng-4870	76	10	,	,	PUNCT
fumecheng-4870	76	11	(	(	PUNCT
fumecheng-4870	76	12	11	11	NUM
fumecheng-4870	76	13	)	)	PUNCT
fumecheng-4870	76	14	90	90	NUM
fumecheng-4870	76	15	q.	q.	PROPN
fumecheng-4870	76	16	li	li	PROPN
fumecheng-4870	76	17	,	,	PUNCT
fumecheng-4870	76	18	f.	f.	PROPN
fumecheng-4870	76	19	forsbach	forsbach	PROPN
fumecheng-4870	76	20	,	,	PUNCT
fumecheng-4870	76	21	j.	j.	PROPN
fumecheng-4870	76	22	benad	benad	PROPN
fumecheng-4870	76	23	1	1	NUM
fumecheng-4870	76	24	1	1	NUM
fumecheng-4870	76	25	1	1	NUM
fumecheng-4870	76	26	1	1	NUM
fumecheng-4870	76	27	2	2	NUM
fumecheng-4870	76	28	2	2	NUM
fumecheng-4870	76	29	sin	sin	NOUN
fumecheng-4870	76	30	(	(	PUNCT
fumecheng-4870	76	31	/	/	SYM
fumecheng-4870	76	32	)	)	PUNCT
fumecheng-4870	76	33	sin	sin	NOUN
fumecheng-4870	76	34	(	(	PUNCT
fumecheng-4870	76	35	/	/	SYM
fumecheng-4870	76	36	)	)	PUNCT
fumecheng-4870	76	37	2	2	NUM
fumecheng-4870	77	1	k	k	NOUN
fumecheng-4870	77	2	j	j	PROPN
fumecheng-4870	77	3	j	j	PROPN
fumecheng-4870	78	1	k	k	PROPN
fumecheng-4870	78	2	j	j	PROPN
fumecheng-4870	79	1	k	k	PROPN
fumecheng-4870	79	2	j	j	PROPN
fumecheng-4870	80	1	k	k	PROPN
fumecheng-4870	80	2	k	k	PROPN
fumecheng-4870	80	3	k	k	PROPN
fumecheng-4870	80	4	w	w	PUNCT
fumecheng-4870	80	5	x	x	PUNCT
fumecheng-4870	80	6	r	r	NOUN
fumecheng-4870	80	7	u	u	NOUN
fumecheng-4870	80	8	x	x	SYM
fumecheng-4870	80	9	r	r	NOUN
fumecheng-4870	80	10	u	u	PROPN
fumecheng-4870	80	11			PROPN
fumecheng-4870	80	12			PROPN
fumecheng-4870	80	13			PROPN
fumecheng-4870	80	14			PROPN
fumecheng-4870	80	15			PROPN
fumecheng-4870	80	16			PROPN
fumecheng-4870	80	17			PROPN
fumecheng-4870	80	18			PROPN
fumecheng-4870	80	19			NOUN
fumecheng-4870	81	1			ADJ
fumecheng-4870	81	2			NOUN
fumecheng-4870	81	3			PROPN
fumecheng-4870	81	4			VERB
fumecheng-4870	81	5			X
fumecheng-4870	81	6	,	,	PUNCT
fumecheng-4870	81	7	(	(	PUNCT
fumecheng-4870	81	8	12	12	NUM
fumecheng-4870	81	9	)	)	PUNCT
fumecheng-4870	81	10	1	1	NUM
fumecheng-4870	81	11	11	11	NUM
fumecheng-4870	81	12	1	1	NUM
fumecheng-4870	81	13	1	1	NUM
fumecheng-4870	81	14	1	1	NUM
fumecheng-4870	81	15	cosh	cosh	NOUN
fumecheng-4870	81	16	(	(	PUNCT
fumecheng-4870	81	17	/	/	SYM
fumecheng-4870	81	18	)	)	PUNCT
fumecheng-4870	81	19	cosh	cosh	NOUN
fumecheng-4870	81	20	2	2	NUM
fumecheng-4870	81	21	(	(	PUNCT
fumecheng-4870	81	22	/	/	SYM
fumecheng-4870	81	23	)	)	PUNCT
fumecheng-4870	81	24	k	k	PROPN
fumecheng-4870	82	1	n	n	NUM
fumecheng-4870	82	2	k	k	PROPN
fumecheng-4870	83	1	k	k	PROPN
fumecheng-4870	83	2	j	j	PROPN
fumecheng-4870	84	1	k	k	PROPN
fumecheng-4870	84	2	j	j	PROPN
fumecheng-4870	85	1	k	k	PROPN
fumecheng-4870	85	2	j	j	PROPN
fumecheng-4870	86	1	k	k	PROPN
fumecheng-4870	86	2	j	j	PROPN
fumecheng-4870	86	3	q	q	X
fumecheng-4870	86	4	q	q	X
fumecheng-4870	86	5	p	p	X
fumecheng-4870	86	6	x	x	PUNCT
fumecheng-4870	86	7	r	r	NOUN
fumecheng-4870	86	8	x	x	SYM
fumecheng-4870	86	9	r	r	NOUN
fumecheng-4870	86	10			ADJ
fumecheng-4870	86	11			PROPN
fumecheng-4870	86	12			NOUN
fumecheng-4870	86	13			PUNCT
fumecheng-4870	86	14			VERB
fumecheng-4870	86	15			PRON
fumecheng-4870	86	16			PUNCT
fumecheng-4870	86	17			PROPN
fumecheng-4870	86	18			ADP
fumecheng-4870	86	19			PROPN
fumecheng-4870	86	20			PROPN
fumecheng-4870	86	21			PROPN
fumecheng-4870	86	22			NOUN
fumecheng-4870	86	23			PROPN
fumecheng-4870	86	24			VERB
fumecheng-4870	86	25			X
fumecheng-4870	86	26	.	.	PUNCT
fumecheng-4870	87	1	(	(	PUNCT
fumecheng-4870	87	2	13	13	NUM
fumecheng-4870	87	3	)	)	PUNCT
fumecheng-4870	87	4	the	the	DET
fumecheng-4870	87	5	first	first	ADJ
fumecheng-4870	87	6	derivatives	derivative	NOUN
fumecheng-4870	87	7	in	in	ADP
fumecheng-4870	87	8	eqs	eqs	PROPN
fumecheng-4870	87	9	.	.	PUNCT
fumecheng-4870	87	10	(	(	PUNCT
fumecheng-4870	87	11	11)-(13	11)-(13	NUM
fumecheng-4870	87	12	)	)	PUNCT
fumecheng-4870	87	13	can	can	AUX
fumecheng-4870	87	14	be	be	AUX
fumecheng-4870	87	15	obtained	obtain	VERB
fumecheng-4870	87	16	via	via	ADP
fumecheng-4870	87	17	central	central	ADJ
fumecheng-4870	87	18	differences	difference	NOUN
fumecheng-4870	87	19	.	.	PUNCT
fumecheng-4870	88	1	different	different	ADJ
fumecheng-4870	88	2	from	from	ADP
fumecheng-4870	88	3	the	the	DET
fumecheng-4870	88	4	method	method	NOUN
fumecheng-4870	88	5	in	in	ADP
fumecheng-4870	88	6	[	[	X
fumecheng-4870	88	7	9	9	NUM
fumecheng-4870	88	8	]	]	PUNCT
fumecheng-4870	88	9	by	by	ADP
fumecheng-4870	88	10	using	use	VERB
fumecheng-4870	88	11	the	the	DET
fumecheng-4870	88	12	technique	technique	NOUN
fumecheng-4870	88	13	of	of	ADP
fumecheng-4870	88	14	integration	integration	NOUN
fumecheng-4870	88	15	by	by	ADP
fumecheng-4870	88	16	parts	part	NOUN
fumecheng-4870	88	17	,	,	PUNCT
fumecheng-4870	88	18	the	the	DET
fumecheng-4870	88	19	second	second	ADJ
fumecheng-4870	88	20	derivatives	derivative	NOUN
fumecheng-4870	88	21	are	be	AUX
fumecheng-4870	88	22	not	not	PART
fumecheng-4870	88	23	necessary	necessary	ADJ
fumecheng-4870	88	24	in	in	ADP
fumecheng-4870	88	25	the	the	DET
fumecheng-4870	88	26	above	above	ADJ
fumecheng-4870	88	27	method	method	PROPN
fumecheng-4870	88	28	b.	b.	PROPN
fumecheng-4870	88	29	fig	fig	PROPN
fumecheng-4870	88	30	.	.	PUNCT
fumecheng-4870	89	1	2	2	NUM
fumecheng-4870	89	2	shows	show	VERB
fumecheng-4870	89	3	the	the	DET
fumecheng-4870	89	4	numerical	numerical	ADJ
fumecheng-4870	89	5	errors	error	NOUN
fumecheng-4870	89	6	of	of	ADP
fumecheng-4870	89	7	1d	1d	NUM
fumecheng-4870	89	8	profile	profile	NOUN
fumecheng-4870	89	9	,	,	PUNCT
fumecheng-4870	89	10	normal	normal	ADJ
fumecheng-4870	89	11	stress	stress	NOUN
fumecheng-4870	89	12	and	and	CCONJ
fumecheng-4870	89	13	deformation	deformation	NOUN
fumecheng-4870	89	14	at	at	ADP
fumecheng-4870	89	15	each	each	DET
fumecheng-4870	89	16	discrete	discrete	ADJ
fumecheng-4870	89	17	point	point	NOUN
fumecheng-4870	89	18	in	in	ADP
fumecheng-4870	89	19	the	the	DET
fumecheng-4870	89	20	contact	contact	NOUN
fumecheng-4870	89	21	area	area	NOUN
fumecheng-4870	89	22	in	in	ADP
fumecheng-4870	89	23	comparison	comparison	NOUN
fumecheng-4870	89	24	with	with	ADP
fumecheng-4870	89	25	the	the	DET
fumecheng-4870	89	26	hertzian	hertzian	PROPN
fumecheng-4870	89	27	theory	theory	NOUN
fumecheng-4870	89	28	.	.	PUNCT
fumecheng-4870	90	1	the	the	DET
fumecheng-4870	90	2	error	error	NOUN
fumecheng-4870	90	3	is	be	AUX
fumecheng-4870	90	4	estimated	estimate	VERB
fumecheng-4870	90	5	as	as	ADP
fumecheng-4870	90	6	the	the	DET
fumecheng-4870	90	7	absolute	absolute	ADJ
fumecheng-4870	90	8	value	value	NOUN
fumecheng-4870	90	9	of	of	ADP
fumecheng-4870	90	10	(	(	PUNCT
fumecheng-4870	90	11	results	result	NOUN
fumecheng-4870	90	12	a	a	PRON
fumecheng-4870	90	13	or	or	CCONJ
fumecheng-4870	90	14	b	b	NOUN
fumecheng-4870	90	15	–	–	PUNCT
fumecheng-4870	90	16	theory)/theory	theory)/theory	NOUN
fumecheng-4870	90	17	.	.	PUNCT
fumecheng-4870	91	1	it	it	PRON
fumecheng-4870	91	2	is	be	AUX
fumecheng-4870	91	3	noted	note	VERB
fumecheng-4870	91	4	that	that	SCONJ
fumecheng-4870	91	5	the	the	DET
fumecheng-4870	91	6	adjustment	adjustment	NOUN
fumecheng-4870	91	7	as	as	SCONJ
fumecheng-4870	91	8	suggested	suggest	VERB
fumecheng-4870	91	9	in	in	ADP
fumecheng-4870	91	10	[	[	X
fumecheng-4870	91	11	9	9	NUM
fumecheng-4870	91	12	]	]	PUNCT
fumecheng-4870	91	13	is	be	AUX
fumecheng-4870	91	14	not	not	PART
fumecheng-4870	91	15	applied	apply	VERB
fumecheng-4870	91	16	for	for	ADP
fumecheng-4870	91	17	stress	stress	NOUN
fumecheng-4870	91	18	in	in	ADP
fumecheng-4870	91	19	the	the	DET
fumecheng-4870	91	20	method	method	NOUN
fumecheng-4870	91	21	a.	a.	NOUN
fumecheng-4870	92	1	it	it	PRON
fumecheng-4870	92	2	is	be	AUX
fumecheng-4870	92	3	seen	see	VERB
fumecheng-4870	92	4	that	that	SCONJ
fumecheng-4870	92	5	for	for	ADP
fumecheng-4870	92	6	the	the	DET
fumecheng-4870	92	7	profile	profile	NOUN
fumecheng-4870	92	8	,	,	PUNCT
fumecheng-4870	92	9	there	there	PRON
fumecheng-4870	92	10	is	be	VERB
fumecheng-4870	92	11	no	no	DET
fumecheng-4870	92	12	difference	difference	NOUN
fumecheng-4870	92	13	for	for	ADP
fumecheng-4870	92	14	the	the	DET
fumecheng-4870	92	15	two	two	NUM
fumecheng-4870	92	16	methods	method	NOUN
fumecheng-4870	92	17	,	,	PUNCT
fumecheng-4870	92	18	but	but	CCONJ
fumecheng-4870	92	19	for	for	ADP
fumecheng-4870	92	20	the	the	DET
fumecheng-4870	92	21	deformation	deformation	NOUN
fumecheng-4870	92	22	,	,	PUNCT
fumecheng-4870	92	23	the	the	DET
fumecheng-4870	92	24	method	method	NOUN
fumecheng-4870	92	25	a	a	PRON
fumecheng-4870	92	26	is	be	AUX
fumecheng-4870	92	27	better	well	ADJ
fumecheng-4870	92	28	.	.	PUNCT
fumecheng-4870	93	1	a	a	DET
fumecheng-4870	93	2	)	)	PUNCT
fumecheng-4870	93	3	b	b	NOUN
fumecheng-4870	93	4	)	)	PUNCT
fumecheng-4870	93	5	c	c	NOUN
fumecheng-4870	93	6	)	)	PUNCT
fumecheng-4870	93	7	fig	fig	NOUN
fumecheng-4870	93	8	.	.	PUNCT
fumecheng-4870	94	1	2	2	NUM
fumecheng-4870	94	2	error	error	NOUN
fumecheng-4870	94	3	estimation	estimation	NOUN
fumecheng-4870	94	4	with	with	ADP
fumecheng-4870	94	5	an	an	DET
fumecheng-4870	94	6	example	example	NOUN
fumecheng-4870	94	7	of	of	ADP
fumecheng-4870	94	8	hertzian	hertzian	ADJ
fumecheng-4870	94	9	contact	contact	NOUN
fumecheng-4870	94	10	for	for	ADP
fumecheng-4870	94	11	:	:	PUNCT
fumecheng-4870	94	12	(	(	PUNCT
fumecheng-4870	94	13	a	a	X
fumecheng-4870	94	14	)	)	PUNCT
fumecheng-4870	94	15	1d	1d	NUM
fumecheng-4870	94	16	profile	profile	NOUN
fumecheng-4870	94	17	;	;	PUNCT
fumecheng-4870	94	18	(	(	PUNCT
fumecheng-4870	94	19	b	b	X
fumecheng-4870	94	20	)	)	PUNCT
fumecheng-4870	94	21	normal	normal	ADJ
fumecheng-4870	94	22	stress	stress	NOUN
fumecheng-4870	94	23	;	;	PUNCT
fumecheng-4870	94	24	(	(	PUNCT
fumecheng-4870	94	25	c	c	X
fumecheng-4870	94	26	)	)	PUNCT
fumecheng-4870	94	27	normal	normal	ADJ
fumecheng-4870	94	28	deformation	deformation	NOUN
fumecheng-4870	94	29	3	3	X
fumecheng-4870	94	30	.	.	PUNCT
fumecheng-4870	94	31	implementation	implementation	NOUN
fumecheng-4870	94	32	of	of	ADP
fumecheng-4870	94	33	fretting	fret	VERB
fumecheng-4870	94	34	wear	wear	NOUN
fumecheng-4870	94	35	now	now	ADV
fumecheng-4870	94	36	we	we	PRON
fumecheng-4870	94	37	numerically	numerically	ADV
fumecheng-4870	94	38	simulate	simulate	VERB
fumecheng-4870	94	39	fretting	fret	VERB
fumecheng-4870	94	40	wear	wear	NOUN
fumecheng-4870	94	41	with	with	ADP
fumecheng-4870	94	42	the	the	DET
fumecheng-4870	94	43	approaches	approach	NOUN
fumecheng-4870	94	44	given	give	VERB
fumecheng-4870	94	45	in	in	ADP
fumecheng-4870	94	46	section	section	NOUN
fumecheng-4870	94	47	2	2	NUM
fumecheng-4870	94	48	.	.	PUNCT
fumecheng-4870	95	1	the	the	DET
fumecheng-4870	95	2	indenter	indenter	NOUN
fumecheng-4870	95	3	with	with	ADP
fumecheng-4870	95	4	initial	initial	ADJ
fumecheng-4870	95	5	parabolic	parabolic	ADJ
fumecheng-4870	95	6	profile	profile	NOUN
fumecheng-4870	96	1	f	f	NOUN
fumecheng-4870	96	2	=	=	NOUN
fumecheng-4870	96	3	r	r	NOUN
fumecheng-4870	96	4	2	2	NUM
fumecheng-4870	96	5	/(2r	/(2r	PUNCT
fumecheng-4870	96	6	)	)	PUNCT
fumecheng-4870	96	7	is	be	AUX
fumecheng-4870	96	8	pressed	press	VERB
fumecheng-4870	96	9	into	into	ADP
fumecheng-4870	96	10	the	the	DET
fumecheng-4870	96	11	elastic	elastic	ADJ
fumecheng-4870	96	12	half	half	NOUN
fumecheng-4870	96	13	space	space	NOUN
fumecheng-4870	96	14	with	with	ADP
fumecheng-4870	96	15	elastic	elastic	ADJ
fumecheng-4870	96	16	modulus	modulus	NOUN
fumecheng-4870	96	17	e	e	NOUN
fumecheng-4870	96	18	*	*	PUNCT
fumecheng-4870	96	19	and	and	CCONJ
fumecheng-4870	96	20	poisson	poisson	PROPN
fumecheng-4870	96	21	’s	’s	PART
fumecheng-4870	96	22	ratio	ratio	NOUN
fumecheng-4870	96	23	.	.	VERB
fumecheng-4870	96	24	the	the	DET
fumecheng-4870	96	25	indenter	indenter	NOUN
fumecheng-4870	96	26	oscillates	oscillate	NOUN
fumecheng-4870	96	27	with	with	ADP
fumecheng-4870	96	28	displacement	displacement	NOUN
fumecheng-4870	96	29	-	-	PUNCT
fumecheng-4870	96	30	controlled	control	VERB
fumecheng-4870	96	31	periodic	periodic	ADJ
fumecheng-4870	96	32	functions	function	NOUN
fumecheng-4870	96	33	in	in	ADP
fumecheng-4870	96	34	both	both	CCONJ
fumecheng-4870	96	35	vertical	vertical	ADJ
fumecheng-4870	96	36	and	and	CCONJ
fumecheng-4870	96	37	horizontal	horizontal	ADJ
fumecheng-4870	96	38	directions	direction	NOUN
fumecheng-4870	96	39	:	:	PUNCT
fumecheng-4870	96	40	(	(	PUNCT
fumecheng-4870	96	41	0	0	X
fumecheng-4870	96	42	)	)	SYM
fumecheng-4870	96	43	1	1	NUM
fumecheng-4870	96	44	(	(	PUNCT
fumecheng-4870	96	45	0	0	NUM
fumecheng-4870	96	46	)	)	SYM
fumecheng-4870	96	47	2	2	NUM
fumecheng-4870	96	48	(	(	PUNCT
fumecheng-4870	96	49	)	)	PUNCT
fumecheng-4870	96	50	sin	sin	NOUN
fumecheng-4870	96	51	(	(	PUNCT
fumecheng-4870	96	52	)	)	PUNCT
fumecheng-4870	96	53	sin	sin	NOUN
fumecheng-4870	96	54	(	(	PUNCT
fumecheng-4870	96	55	)	)	PUNCT
fumecheng-4870	96	56	z	z	NOUN
fumecheng-4870	96	57	z	z	NOUN
fumecheng-4870	96	58	z	z	NOUN
fumecheng-4870	96	59	x	x	SYM
fumecheng-4870	96	60	x	x	PUNCT
fumecheng-4870	96	61	x	x	PUNCT
fumecheng-4870	96	62	u	u	NOUN
fumecheng-4870	96	63	t	t	X
fumecheng-4870	96	64	u	u	X
fumecheng-4870	96	65	u	u	NOUN
fumecheng-4870	96	66	t	t	X
fumecheng-4870	96	67	u	u	NOUN
fumecheng-4870	96	68	t	t	PROPN
fumecheng-4870	96	69	u	u	X
fumecheng-4870	96	70	u	u	X
fumecheng-4870	96	71	t	t	X
fumecheng-4870	96	72			X
fumecheng-4870	96	73			PROPN
fumecheng-4870	96	74			PROPN
fumecheng-4870	96	75			PROPN
fumecheng-4870	96	76			PROPN
fumecheng-4870	96	77			PROPN
fumecheng-4870	96	78			PROPN
fumecheng-4870	96	79			VERB
fumecheng-4870	96	80	.	.	PUNCT
fumecheng-4870	97	1	(	(	PUNCT
fumecheng-4870	97	2	14	14	NUM
fumecheng-4870	97	3	)	)	PUNCT
fumecheng-4870	97	4	the	the	DET
fumecheng-4870	97	5	numerical	numerical	ADJ
fumecheng-4870	97	6	algorithm	algorithm	NOUN
fumecheng-4870	97	7	is	be	AUX
fumecheng-4870	97	8	the	the	DET
fumecheng-4870	97	9	same	same	ADJ
fumecheng-4870	97	10	as	as	ADP
fumecheng-4870	97	11	in	in	ADP
fumecheng-4870	97	12	fig.1	fig.1	PROPN
fumecheng-4870	97	13	,	,	PUNCT
fumecheng-4870	97	14	and	and	CCONJ
fumecheng-4870	97	15	we	we	PRON
fumecheng-4870	97	16	use	use	VERB
fumecheng-4870	97	17	the	the	DET
fumecheng-4870	97	18	local	local	ADJ
fumecheng-4870	97	19	formulation	formulation	NOUN
fumecheng-4870	97	20	of	of	ADP
fumecheng-4870	97	21	archard	archard	NOUN
fumecheng-4870	97	22	’s	’s	PART
fumecheng-4870	97	23	law	law	NOUN
fumecheng-4870	97	24	of	of	ADP
fumecheng-4870	97	25	wear	wear	NOUN
fumecheng-4870	97	26	for	for	ADP
fumecheng-4870	97	27	the	the	DET
fumecheng-4870	97	28	change	change	NOUN
fumecheng-4870	97	29	in	in	ADP
fumecheng-4870	97	30	3d	3d	PROPN
fumecheng-4870	97	31	surface	surface	NOUN
fumecheng-4870	97	32	profile	profile	NOUN
fumecheng-4870	97	33	:	:	PUNCT
fumecheng-4870	97	34	(	(	PUNCT
fumecheng-4870	97	35	0	0	NUM
fumecheng-4870	97	36	)	)	PUNCT
fumecheng-4870	97	37	,	,	PUNCT
fumecheng-4870	97	38	3d	3d	NUM
fumecheng-4870	97	39	(	(	PUNCT
fumecheng-4870	97	40	)	)	PUNCT
fumecheng-4870	97	41	(	(	PUNCT
fumecheng-4870	97	42	)	)	PUNCT
fumecheng-4870	97	43	(	(	PUNCT
fumecheng-4870	97	44	(	(	PUNCT
fumecheng-4870	97	45	)	)	PUNCT
fumecheng-4870	97	46	)	)	PUNCT
fumecheng-4870	97	47	wear	wear	VERB
fumecheng-4870	97	48	x	x	PUNCT
fumecheng-4870	97	49	xf	xf	PROPN
fumecheng-4870	97	50	r	r	NOUN
fumecheng-4870	97	51	k	k	NOUN
fumecheng-4870	97	52	r	r	NOUN
fumecheng-4870	97	53	u	u	NOUN
fumecheng-4870	97	54	u	u	NOUN
fumecheng-4870	97	55	r	r	VERB
fumecheng-4870	97	56			PRON
fumecheng-4870	97	57			PUNCT
fumecheng-4870	98	1			ADJ
fumecheng-4870	98	2	,	,	PUNCT
fumecheng-4870	98	3	(	(	PUNCT
fumecheng-4870	98	4	15	15	NUM
fumecheng-4870	98	5	)	)	PUNCT
fumecheng-4870	98	6	where	where	SCONJ
fumecheng-4870	98	7	kwear	kwear	PROPN
fumecheng-4870	98	8	is	be	AUX
fumecheng-4870	98	9	the	the	DET
fumecheng-4870	98	10	wear	wear	NOUN
fumecheng-4870	98	11	coefficient	coefficient	NOUN
fumecheng-4870	98	12	,	,	PUNCT
fumecheng-4870	98	13	τ(r	τ(r	PROPN
fumecheng-4870	98	14	)	)	PUNCT
fumecheng-4870	98	15	is	be	AUX
fumecheng-4870	98	16	the	the	DET
fumecheng-4870	98	17	tangential	tangential	ADJ
fumecheng-4870	98	18	stress	stress	NOUN
fumecheng-4870	98	19	on	on	ADP
fumecheng-4870	98	20	the	the	DET
fumecheng-4870	98	21	surface	surface	NOUN
fumecheng-4870	98	22	,	,	PUNCT
fumecheng-4870	98	23	ux	ux	PROPN
fumecheng-4870	98	24	(	(	PUNCT
fumecheng-4870	98	25	0	0	NUM
fumecheng-4870	98	26	)	)	PUNCT
fumecheng-4870	99	1	is	be	AUX
fumecheng-4870	99	2	the	the	DET
fumecheng-4870	99	3	tangential	tangential	ADJ
fumecheng-4870	99	4	movement	movement	NOUN
fumecheng-4870	99	5	of	of	ADP
fumecheng-4870	99	6	the	the	DET
fumecheng-4870	99	7	indenter	indenter	NOUN
fumecheng-4870	99	8	and	and	CCONJ
fumecheng-4870	99	9	ux,3d	ux,3d	PROPN
fumecheng-4870	99	10	is	be	AUX
fumecheng-4870	99	11	the	the	DET
fumecheng-4870	99	12	change	change	NOUN
fumecheng-4870	99	13	of	of	ADP
fumecheng-4870	99	14	tangential	tangential	ADJ
fumecheng-4870	99	15	displacement	displacement	NOUN
fumecheng-4870	99	16	of	of	ADP
fumecheng-4870	99	17	the	the	DET
fumecheng-4870	99	18	elastic	elastic	ADJ
fumecheng-4870	99	19	half	half	NOUN
fumecheng-4870	99	20	space	space	NOUN
fumecheng-4870	99	21	in	in	ADP
fumecheng-4870	99	22	a	a	DET
fumecheng-4870	99	23	time	time	NOUN
fumecheng-4870	99	24	increment	increment	NOUN
fumecheng-4870	99	25	.	.	PUNCT
fumecheng-4870	100	1	numerical	numerical	ADJ
fumecheng-4870	100	2	implementation	implementation	NOUN
fumecheng-4870	100	3	of	of	ADP
fumecheng-4870	100	4	fretting	fret	VERB
fumecheng-4870	100	5	wear	wear	NOUN
fumecheng-4870	100	6	in	in	ADP
fumecheng-4870	100	7	the	the	DET
fumecheng-4870	100	8	framework	framework	NOUN
fumecheng-4870	100	9	of	of	ADP
fumecheng-4870	100	10	the	the	DET
fumecheng-4870	100	11	mdr	mdr	PROPN
fumecheng-4870	100	12	91	91	NUM
fumecheng-4870	100	13	a	a	PRON
fumecheng-4870	100	14	)	)	PUNCT
fumecheng-4870	100	15	b	b	NOUN
fumecheng-4870	100	16	)	)	PUNCT
fumecheng-4870	100	17	c	c	NOUN
fumecheng-4870	100	18	)	)	PUNCT
fumecheng-4870	100	19	d	d	NOUN
fumecheng-4870	100	20	)	)	PUNCT
fumecheng-4870	100	21	fig	fig	NOUN
fumecheng-4870	100	22	.	.	PUNCT
fumecheng-4870	101	1	3	3	NUM
fumecheng-4870	101	2	simulation	simulation	NOUN
fumecheng-4870	101	3	of	of	ADP
fumecheng-4870	101	4	fretting	fret	VERB
fumecheng-4870	101	5	wear	wear	NOUN
fumecheng-4870	101	6	:	:	PUNCT
fumecheng-4870	101	7	(	(	PUNCT
fumecheng-4870	101	8	a	a	X
fumecheng-4870	101	9	)	)	PUNCT
fumecheng-4870	101	10	3d	3d	NUM
fumecheng-4870	101	11	profiles	profile	NOUN
fumecheng-4870	101	12	and	and	CCONJ
fumecheng-4870	101	13	(	(	PUNCT
fumecheng-4870	101	14	b	b	NOUN
fumecheng-4870	101	15	)	)	PUNCT
fumecheng-4870	101	16	corresponding	correspond	VERB
fumecheng-4870	101	17	1d	1d	NUM
fumecheng-4870	101	18	profiles	profile	NOUN
fumecheng-4870	101	19	at	at	ADP
fumecheng-4870	101	20	three	three	NUM
fumecheng-4870	101	21	states	state	NOUN
fumecheng-4870	101	22	;	;	PUNCT
fumecheng-4870	101	23	(	(	PUNCT
fumecheng-4870	101	24	c	c	X
fumecheng-4870	101	25	)	)	PUNCT
fumecheng-4870	101	26	normal	normal	ADJ
fumecheng-4870	101	27	and	and	CCONJ
fumecheng-4870	101	28	tangential	tangential	ADJ
fumecheng-4870	101	29	stresses	stress	NOUN
fumecheng-4870	101	30	at	at	ADP
fumecheng-4870	101	31	state	state	NOUN
fumecheng-4870	101	32	1	1	NUM
fumecheng-4870	101	33	and	and	CCONJ
fumecheng-4870	101	34	(	(	PUNCT
fumecheng-4870	101	35	d	d	NOUN
fumecheng-4870	101	36	)	)	PUNCT
fumecheng-4870	101	37	state	state	NOUN
fumecheng-4870	101	38	3	3	NUM
fumecheng-4870	101	39	it	it	PRON
fumecheng-4870	101	40	is	be	AUX
fumecheng-4870	101	41	known	know	VERB
fumecheng-4870	101	42	that	that	SCONJ
fumecheng-4870	101	43	if	if	SCONJ
fumecheng-4870	101	44	the	the	DET
fumecheng-4870	101	45	tangential	tangential	ADJ
fumecheng-4870	101	46	oscillation	oscillation	NOUN
fumecheng-4870	101	47	amplitude	amplitude	NOUN
fumecheng-4870	101	48	is	be	AUX
fumecheng-4870	101	49	small	small	ADJ
fumecheng-4870	101	50	,	,	PUNCT
fumecheng-4870	101	51	there	there	PRON
fumecheng-4870	101	52	will	will	AUX
fumecheng-4870	101	53	be	be	AUX
fumecheng-4870	101	54	a	a	DET
fumecheng-4870	101	55	stick	stick	NOUN
fumecheng-4870	101	56	region	region	NOUN
fumecheng-4870	101	57	in	in	ADP
fumecheng-4870	101	58	the	the	DET
fumecheng-4870	101	59	center	center	NOUN
fumecheng-4870	101	60	and	and	CCONJ
fumecheng-4870	101	61	a	a	DET
fumecheng-4870	101	62	slip	slip	NOUN
fumecheng-4870	101	63	region	region	NOUN
fumecheng-4870	101	64	at	at	ADP
fumecheng-4870	101	65	the	the	DET
fumecheng-4870	101	66	boundary	boundary	NOUN
fumecheng-4870	101	67	of	of	ADP
fumecheng-4870	101	68	the	the	DET
fumecheng-4870	101	69	contact	contact	NOUN
fumecheng-4870	101	70	area	area	NOUN
fumecheng-4870	101	71	with	with	ADP
fumecheng-4870	101	72	coulomb	coulomb	NOUN
fumecheng-4870	101	73	’s	’s	PART
fumecheng-4870	101	74	law	law	NOUN
fumecheng-4870	101	75	of	of	ADP
fumecheng-4870	101	76	friction	friction	NOUN
fumecheng-4870	101	77	.	.	PUNCT
fumecheng-4870	102	1	the	the	DET
fumecheng-4870	102	2	contact	contact	NOUN
fumecheng-4870	102	3	problem	problem	NOUN
fumecheng-4870	102	4	can	can	AUX
fumecheng-4870	102	5	be	be	AUX
fumecheng-4870	102	6	solved	solve	VERB
fumecheng-4870	102	7	in	in	ADP
fumecheng-4870	102	8	the	the	DET
fumecheng-4870	102	9	1d	1d	NUM
fumecheng-4870	102	10	contact	contact	NOUN
fumecheng-4870	102	11	with	with	ADP
fumecheng-4870	102	12	winkler	winkler	PROPN
fumecheng-4870	102	13	’s	’s	PART
fumecheng-4870	102	14	spring	spring	NOUN
fumecheng-4870	102	15	foundation	foundation	NOUN
fumecheng-4870	103	1	[	[	X
fumecheng-4870	103	2	3	3	NUM
fumecheng-4870	103	3	]	]	PUNCT
fumecheng-4870	103	4	.	.	PUNCT
fumecheng-4870	104	1	the	the	DET
fumecheng-4870	104	2	obtained	obtain	VERB
fumecheng-4870	104	3	1d	1d	NUM
fumecheng-4870	104	4	tangential	tangential	ADJ
fumecheng-4870	104	5	stress	stress	NOUN
fumecheng-4870	104	6	qx	qx	ADJ
fumecheng-4870	104	7	and	and	CCONJ
fumecheng-4870	104	8	tangential	tangential	ADJ
fumecheng-4870	104	9	movement	movement	NOUN
fumecheng-4870	104	10	ux,1d	ux,1d	PRON
fumecheng-4870	104	11	are	be	AUX
fumecheng-4870	104	12	then	then	ADV
fumecheng-4870	104	13	transformed	transform	VERB
fumecheng-4870	104	14	into	into	ADP
fumecheng-4870	104	15	three	three	NUM
fumecheng-4870	104	16	-	-	PUNCT
fumecheng-4870	104	17	dimension	dimension	NOUN
fumecheng-4870	104	18	τ(r	τ(r	PROPN
fumecheng-4870	104	19	)	)	PUNCT
fumecheng-4870	104	20	and	and	CCONJ
fumecheng-4870	104	21	ux,3d	ux,3d	NUM
fumecheng-4870	104	22	for	for	ADP
fumecheng-4870	104	23	substitution	substitution	NOUN
fumecheng-4870	104	24	into	into	ADP
fumecheng-4870	104	25	the	the	DET
fumecheng-4870	104	26	wear	wear	NOUN
fumecheng-4870	104	27	law	law	NOUN
fumecheng-4870	104	28	(	(	PUNCT
fumecheng-4870	104	29	5	5	NUM
fumecheng-4870	104	30	)	)	PUNCT
fumecheng-4870	104	31	to	to	PART
fumecheng-4870	104	32	get	get	VERB
fumecheng-4870	104	33	the	the	DET
fumecheng-4870	104	34	new	new	ADJ
fumecheng-4870	104	35	profile	profile	NOUN
fumecheng-4870	104	36	.	.	PUNCT
fumecheng-4870	105	1	in	in	ADP
fumecheng-4870	105	2	the	the	DET
fumecheng-4870	105	3	mdr	mdr	PROPN
fumecheng-4870	105	4	,	,	PUNCT
fumecheng-4870	105	5	the	the	DET
fumecheng-4870	105	6	stick	stick	NOUN
fumecheng-4870	105	7	and	and	CCONJ
fumecheng-4870	105	8	slip	slip	VERB
fumecheng-4870	105	9	regions	region	NOUN
fumecheng-4870	105	10	of	of	ADP
fumecheng-4870	105	11	‘	'	PUNCT
fumecheng-4870	105	12	springs	spring	NOUN
fumecheng-4870	105	13	’	'	PUNCT
fumecheng-4870	105	14	are	be	AUX
fumecheng-4870	105	15	determined	determine	VERB
fumecheng-4870	105	16	according	accord	VERB
fumecheng-4870	105	17	to	to	ADP
fumecheng-4870	105	18	the	the	DET
fumecheng-4870	105	19	following	follow	VERB
fumecheng-4870	105	20	rule	rule	NOUN
fumecheng-4870	105	21	:	:	PUNCT
fumecheng-4870	105	22	(	(	PUNCT
fumecheng-4870	105	23	0	0	NUM
fumecheng-4870	105	24	)	)	PUNCT
fumecheng-4870	105	25	(	(	PUNCT
fumecheng-4870	105	26	)	)	PUNCT
fumecheng-4870	105	27	,	,	PUNCT
fumecheng-4870	105	28	in	in	ADP
fumecheng-4870	105	29	the	the	DET
fumecheng-4870	105	30	stick	stick	NOUN
fumecheng-4870	105	31	region	region	NOUN
fumecheng-4870	105	32	,	,	PUNCT
fumecheng-4870	105	33	if	if	SCONJ
fumecheng-4870	105	34	(	(	PUNCT
fumecheng-4870	105	35	)	)	PUNCT
fumecheng-4870	105	36	(	(	PUNCT
fumecheng-4870	105	37	)	)	PUNCT
fumecheng-4870	105	38	(	(	PUNCT
fumecheng-4870	105	39	)	)	PUNCT
fumecheng-4870	105	40	(	(	PUNCT
fumecheng-4870	105	41	)	)	PUNCT
fumecheng-4870	105	42	,	,	PUNCT
fumecheng-4870	105	43	in	in	ADP
fumecheng-4870	105	44	the	the	DET
fumecheng-4870	105	45	slip	slip	NOUN
fumecheng-4870	105	46	region	region	NOUN
fumecheng-4870	105	47	x	x	X
fumecheng-4870	106	1	x	x	PUNCT
fumecheng-4870	106	2	x	x	PUNCT
fumecheng-4870	106	3	x	x	X
fumecheng-4870	106	4	z	z	NOUN
fumecheng-4870	106	5	z	z	NOUN
fumecheng-4870	106	6	x	x	SYM
fumecheng-4870	106	7	x	x	PUNCT
fumecheng-4870	106	8	u	u	NOUN
fumecheng-4870	106	9	x	x	X
fumecheng-4870	106	10	u	u	NOUN
fumecheng-4870	106	11	k	k	PROPN
fumecheng-4870	106	12	u	u	X
fumecheng-4870	106	13	x	x	X
fumecheng-4870	106	14	f	f	NOUN
fumecheng-4870	106	15	x	x	SYM
fumecheng-4870	106	16	f	f	X
fumecheng-4870	106	17	x	x	SYM
fumecheng-4870	106	18	u	u	NOUN
fumecheng-4870	106	19	x	x	X
fumecheng-4870	106	20	k	k	NOUN
fumecheng-4870	106	21			NOUN
fumecheng-4870	106	22			NOUN
fumecheng-4870	106	23			NOUN
fumecheng-4870	107	1			NUM
fumecheng-4870	107	2			NOUN
fumecheng-4870	107	3			PROPN
fumecheng-4870	108	1			NUM
fumecheng-4870	109	1			PROPN
fumecheng-4870	109	2	.	.	PUNCT
fumecheng-4870	110	1	(	(	PUNCT
fumecheng-4870	110	2	15	15	NUM
fumecheng-4870	110	3	)	)	PUNCT
fumecheng-4870	110	4	in	in	ADP
fumecheng-4870	110	5	the	the	DET
fumecheng-4870	110	6	numerical	numerical	PROPN
fumecheng-4870	110	7	simulation	simulation	PROPN
fumecheng-4870	110	8	,	,	PUNCT
fumecheng-4870	110	9	we	we	PRON
fumecheng-4870	110	10	first	first	ADV
fumecheng-4870	110	11	assume	assume	VERB
fumecheng-4870	110	12	that	that	SCONJ
fumecheng-4870	110	13	all	all	DET
fumecheng-4870	110	14	the	the	DET
fumecheng-4870	110	15	springs	spring	NOUN
fumecheng-4870	110	16	in	in	ADP
fumecheng-4870	110	17	the	the	DET
fumecheng-4870	110	18	contact	contact	NOUN
fumecheng-4870	110	19	region	region	NOUN
fumecheng-4870	110	20	move	move	VERB
fumecheng-4870	110	21	with	with	ADP
fumecheng-4870	110	22	the	the	DET
fumecheng-4870	110	23	same	same	ADJ
fumecheng-4870	110	24	value	value	NOUN
fumecheng-4870	110	25	ux	ux	PROPN
fumecheng-4870	110	26	(	(	PUNCT
fumecheng-4870	110	27	0	0	NUM
fumecheng-4870	110	28	)	)	PUNCT
fumecheng-4870	110	29	as	as	ADP
fumecheng-4870	110	30	the	the	DET
fumecheng-4870	110	31	indenter	indenter	NOUN
fumecheng-4870	110	32	and	and	CCONJ
fumecheng-4870	110	33	then	then	ADV
fumecheng-4870	110	34	the	the	DET
fumecheng-4870	110	35	tangential	tangential	ADJ
fumecheng-4870	110	36	forces	force	NOUN
fumecheng-4870	110	37	of	of	ADP
fumecheng-4870	110	38	these	these	DET
fumecheng-4870	110	39	springs	spring	NOUN
fumecheng-4870	110	40	are	be	AUX
fumecheng-4870	110	41	calculated	calculate	VERB
fumecheng-4870	110	42	kxux	kxux	NOUN
fumecheng-4870	110	43	,	,	PUNCT
fumecheng-4870	110	44	pre	pre	ADJ
fumecheng-4870	110	45	.	.	X
fumecheng-4870	110	46	subsequently	subsequently	ADV
fumecheng-4870	110	47	,	,	PUNCT
fumecheng-4870	110	48	we	we	PRON
fumecheng-4870	110	49	check	check	VERB
fumecheng-4870	110	50	the	the	DET
fumecheng-4870	110	51	condition	condition	NOUN
fumecheng-4870	110	52	(	(	PUNCT
fumecheng-4870	110	53	15	15	NUM
fumecheng-4870	110	54	):	):	PUNCT
fumecheng-4870	110	55	the	the	DET
fumecheng-4870	110	56	springs	spring	NOUN
fumecheng-4870	110	57	that	that	PRON
fumecheng-4870	110	58	meet	meet	VERB
fumecheng-4870	110	59	condition	condition	NOUN
fumecheng-4870	110	60	kxux	kxux	NOUN
fumecheng-4870	110	61	,	,	PUNCT
fumecheng-4870	110	62	pre	pre	X
fumecheng-4870	110	63	<	<	X
fumecheng-4870	110	64	µfz	µfz	NOUN
fumecheng-4870	110	65	are	be	AUX
fumecheng-4870	110	66	located	locate	VERB
fumecheng-4870	110	67	in	in	ADP
fumecheng-4870	110	68	the	the	DET
fumecheng-4870	110	69	stick	stick	NOUN
fumecheng-4870	110	70	region	region	NOUN
fumecheng-4870	110	71	,	,	PUNCT
fumecheng-4870	110	72	where	where	SCONJ
fumecheng-4870	110	73	the	the	DET
fumecheng-4870	110	74	relative	relative	ADJ
fumecheng-4870	110	75	tangential	tangential	ADJ
fumecheng-4870	110	76	movement	movement	NOUN
fumecheng-4870	110	77	is	be	AUX
fumecheng-4870	110	78	zero	zero	NUM
fumecheng-4870	110	79	,	,	PUNCT
fumecheng-4870	110	80	ux	ux	PUNCT
fumecheng-4870	111	1	=	=	NOUN
fumecheng-4870	111	2	ux	ux	PROPN
fumecheng-4870	111	3	(	(	PUNCT
fumecheng-4870	111	4	0	0	NUM
fumecheng-4870	111	5	)	)	PUNCT
fumecheng-4870	111	6	,	,	PUNCT
fumecheng-4870	111	7	as	as	SCONJ
fumecheng-4870	111	8	described	describe	VERB
fumecheng-4870	111	9	in	in	ADP
fumecheng-4870	111	10	(	(	PUNCT
fumecheng-4870	111	11	15	15	NUM
fumecheng-4870	111	12	)	)	PUNCT
fumecheng-4870	111	13	.	.	PUNCT
fumecheng-4870	112	1	the	the	DET
fumecheng-4870	112	2	other	other	ADJ
fumecheng-4870	112	3	springs	spring	NOUN
fumecheng-4870	112	4	having	have	VERB
fumecheng-4870	112	5	the	the	DET
fumecheng-4870	112	6	relation	relation	NOUN
fumecheng-4870	112	7	92	92	NUM
fumecheng-4870	112	8	q.	q.	PROPN
fumecheng-4870	112	9	li	li	PROPN
fumecheng-4870	112	10	,	,	PUNCT
fumecheng-4870	112	11	f.	f.	PROPN
fumecheng-4870	112	12	forsbach	forsbach	PROPN
fumecheng-4870	112	13	,	,	PUNCT
fumecheng-4870	112	14	j.	j.	PROPN
fumecheng-4870	112	15	benad	benad	PROPN
fumecheng-4870	112	16	kxux	kxux	PROPN
fumecheng-4870	112	17	,	,	PUNCT
fumecheng-4870	112	18	pre>µfz	pre>µfz	NOUN
fumecheng-4870	112	19	are	be	AUX
fumecheng-4870	112	20	in	in	ADP
fumecheng-4870	112	21	the	the	DET
fumecheng-4870	112	22	slip	slip	NOUN
fumecheng-4870	112	23	region	region	NOUN
fumecheng-4870	112	24	,	,	PUNCT
fumecheng-4870	112	25	where	where	SCONJ
fumecheng-4870	112	26	the	the	DET
fumecheng-4870	112	27	tangential	tangential	ADJ
fumecheng-4870	112	28	displacement	displacement	NOUN
fumecheng-4870	112	29	must	must	AUX
fumecheng-4870	112	30	be	be	AUX
fumecheng-4870	112	31	smaller	small	ADJ
fumecheng-4870	112	32	than	than	ADP
fumecheng-4870	112	33	assumed	assume	VERB
fumecheng-4870	112	34	value	value	NOUN
fumecheng-4870	112	35	ux	ux	PROPN
fumecheng-4870	112	36	<	<	X
fumecheng-4870	112	37	ux	ux	PROPN
fumecheng-4870	112	38	,	,	PUNCT
fumecheng-4870	112	39	pre	pre	ADJ
fumecheng-4870	112	40	,	,	PUNCT
fumecheng-4870	112	41	and	and	CCONJ
fumecheng-4870	112	42	it	it	PRON
fumecheng-4870	112	43	will	will	AUX
fumecheng-4870	112	44	be	be	AUX
fumecheng-4870	112	45	calculated	calculate	VERB
fumecheng-4870	112	46	with	with	ADP
fumecheng-4870	112	47	the	the	DET
fumecheng-4870	112	48	rule	rule	NOUN
fumecheng-4870	112	49	in	in	ADP
fumecheng-4870	112	50	(	(	PUNCT
fumecheng-4870	112	51	15	15	NUM
fumecheng-4870	112	52	)	)	PUNCT
fumecheng-4870	112	53	.	.	PUNCT
fumecheng-4870	113	1	in	in	ADP
fumecheng-4870	113	2	fretting	fret	VERB
fumecheng-4870	113	3	wear	wear	NOUN
fumecheng-4870	113	4	,	,	PUNCT
fumecheng-4870	113	5	the	the	DET
fumecheng-4870	113	6	indenter	indenter	NOUN
fumecheng-4870	113	7	moves	move	VERB
fumecheng-4870	113	8	also	also	ADV
fumecheng-4870	113	9	backward	backward	ADV
fumecheng-4870	113	10	,	,	PUNCT
fumecheng-4870	113	11	so	so	CCONJ
fumecheng-4870	113	12	the	the	DET
fumecheng-4870	113	13	sign	sign	NOUN
fumecheng-4870	113	14	in	in	ADP
fumecheng-4870	113	15	(	(	PUNCT
fumecheng-4870	113	16	15	15	NUM
fumecheng-4870	113	17	)	)	PUNCT
fumecheng-4870	113	18	should	should	AUX
fumecheng-4870	113	19	be	be	AUX
fumecheng-4870	113	20	the	the	DET
fumecheng-4870	113	21	same	same	ADJ
fumecheng-4870	113	22	as	as	ADP
fumecheng-4870	113	23	ux	ux	PROPN
fumecheng-4870	113	24	,	,	PUNCT
fumecheng-4870	113	25	pre	pre	ADJ
fumecheng-4870	113	26	.	.	PUNCT
fumecheng-4870	114	1	numerically	numerically	ADV
fumecheng-4870	114	2	,	,	PUNCT
fumecheng-4870	114	3	we	we	PRON
fumecheng-4870	114	4	simulated	simulate	VERB
fumecheng-4870	114	5	various	various	ADJ
fumecheng-4870	114	6	cases	case	NOUN
fumecheng-4870	114	7	of	of	ADP
fumecheng-4870	114	8	the	the	DET
fumecheng-4870	114	9	fretting	fretting	NOUN
fumecheng-4870	114	10	,	,	PUNCT
fumecheng-4870	114	11	including	include	VERB
fumecheng-4870	114	12	variation	variation	NOUN
fumecheng-4870	114	13	of	of	ADP
fumecheng-4870	114	14	phase	phase	NOUN
fumecheng-4870	114	15	,	,	PUNCT
fumecheng-4870	114	16	different	different	ADJ
fumecheng-4870	114	17	oscillation	oscillation	NOUN
fumecheng-4870	114	18	frequencies	frequency	NOUN
fumecheng-4870	114	19	in	in	ADP
fumecheng-4870	114	20	normal	normal	ADJ
fumecheng-4870	114	21	and	and	CCONJ
fumecheng-4870	114	22	tangential	tangential	ADJ
fumecheng-4870	114	23	directions	direction	NOUN
fumecheng-4870	114	24	,	,	PUNCT
fumecheng-4870	114	25	amplitude	amplitude	NOUN
fumecheng-4870	114	26	of	of	ADP
fumecheng-4870	114	27	oscillation	oscillation	NOUN
fumecheng-4870	114	28	,	,	PUNCT
fumecheng-4870	114	29	coefficient	coefficient	NOUN
fumecheng-4870	114	30	of	of	ADP
fumecheng-4870	114	31	friction	friction	NOUN
fumecheng-4870	114	32	,	,	PUNCT
fumecheng-4870	114	33	and	and	CCONJ
fumecheng-4870	114	34	also	also	ADV
fumecheng-4870	114	35	other	other	ADJ
fumecheng-4870	114	36	laws	law	NOUN
fumecheng-4870	114	37	of	of	ADP
fumecheng-4870	114	38	wear	wear	NOUN
fumecheng-4870	114	39	,	,	PUNCT
fumecheng-4870	114	40	for	for	ADP
fumecheng-4870	114	41	example	example	NOUN
fumecheng-4870	114	42	the	the	DET
fumecheng-4870	114	43	case	case	NOUN
fumecheng-4870	114	44	when	when	SCONJ
fumecheng-4870	114	45	the	the	DET
fumecheng-4870	114	46	surface	surface	NOUN
fumecheng-4870	114	47	change	change	NOUN
fumecheng-4870	114	48	has	have	VERB
fumecheng-4870	114	49	a	a	DET
fumecheng-4870	114	50	power	power	NOUN
fumecheng-4870	114	51	-	-	PUNCT
fumecheng-4870	114	52	law	law	NOUN
fumecheng-4870	114	53	function	function	NOUN
fumecheng-4870	114	54	of	of	ADP
fumecheng-4870	114	55	stress	stress	NOUN
fumecheng-4870	114	56	or	or	CCONJ
fumecheng-4870	114	57	relative	relative	ADJ
fumecheng-4870	114	58	tangential	tangential	ADJ
fumecheng-4870	114	59	movement	movement	NOUN
fumecheng-4870	114	60	.	.	PUNCT
fumecheng-4870	115	1	both	both	DET
fumecheng-4870	115	2	methods	method	NOUN
fumecheng-4870	115	3	show	show	VERB
fumecheng-4870	115	4	stable	stable	ADJ
fumecheng-4870	115	5	results	result	NOUN
fumecheng-4870	115	6	.	.	PUNCT
fumecheng-4870	116	1	here	here	ADV
fumecheng-4870	116	2	we	we	PRON
fumecheng-4870	116	3	give	give	VERB
fumecheng-4870	116	4	only	only	ADV
fumecheng-4870	116	5	one	one	NUM
fumecheng-4870	116	6	example	example	NOUN
fumecheng-4870	116	7	as	as	SCONJ
fumecheng-4870	116	8	shown	show	VERB
fumecheng-4870	116	9	in	in	ADP
fumecheng-4870	116	10	fig.3	fig.3	PROPN
fumecheng-4870	116	11	.	.	PUNCT
fumecheng-4870	117	1	the	the	DET
fumecheng-4870	117	2	main	main	ADJ
fumecheng-4870	117	3	parameters	parameter	NOUN
fumecheng-4870	117	4	are	be	AUX
fumecheng-4870	117	5	set	set	VERB
fumecheng-4870	117	6	as	as	ADP
fumecheng-4870	117	7	ux	ux	PROPN
fumecheng-4870	117	8	(	(	PUNCT
fumecheng-4870	117	9	0	0	NUM
fumecheng-4870	117	10	)	)	PUNCT
fumecheng-4870	117	11	=	=	SYM
fumecheng-4870	118	1	uz	uz	X
fumecheng-4870	118	2	(	(	PUNCT
fumecheng-4870	118	3	0	0	NUM
fumecheng-4870	118	4	)	)	PUNCT
fumecheng-4870	118	5	=	=	SYM
fumecheng-4870	118	6	0.1	0.1	NUM
fumecheng-4870	118	7	uz	uz	NOUN
fumecheng-4870	118	8	(	(	PUNCT
fumecheng-4870	118	9	0	0	NUM
fumecheng-4870	118	10	)	)	PUNCT
fumecheng-4870	118	11	,	,	PUNCT
fumecheng-4870	118	12	ux	ux	PROPN
fumecheng-4870	118	13	(	(	PUNCT
fumecheng-4870	118	14	0	0	NUM
fumecheng-4870	118	15	)	)	PUNCT
fumecheng-4870	118	16	=	=	SYM
fumecheng-4870	118	17	0	0	NUM
fumecheng-4870	118	18	,	,	PUNCT
fumecheng-4870	118	19	φ=/4	φ=/4	ADJ
fumecheng-4870	118	20	,	,	PUNCT
fumecheng-4870	118	21	1=2=100	1=2=100	PROPN
fumecheng-4870	118	22	,	,	PUNCT
fumecheng-4870	118	23	µ=0.1	µ=0.1	NOUN
fumecheng-4870	118	24	and	and	CCONJ
fumecheng-4870	118	25	discrete	discrete	ADJ
fumecheng-4870	118	26	points	point	NOUN
fumecheng-4870	118	27	n=100	n=100	PROPN
fumecheng-4870	118	28	.	.	PUNCT
fumecheng-4870	119	1	the	the	DET
fumecheng-4870	119	2	states	state	NOUN
fumecheng-4870	119	3	1	1	NUM
fumecheng-4870	119	4	,	,	PUNCT
fumecheng-4870	119	5	2	2	NUM
fumecheng-4870	119	6	,	,	PUNCT
fumecheng-4870	119	7	3	3	NUM
fumecheng-4870	119	8	in	in	ADP
fumecheng-4870	119	9	figs.3a	figs.3a	PROPN
fumecheng-4870	119	10	and	and	CCONJ
fumecheng-4870	119	11	b	b	PROPN
fumecheng-4870	119	12	indicate	indicate	VERB
fumecheng-4870	119	13	50.72	50.72	NUM
fumecheng-4870	119	14	,	,	PUNCT
fumecheng-4870	119	15	100	100	NUM
fumecheng-4870	119	16	and	and	CCONJ
fumecheng-4870	119	17	199.24	199.24	NUM
fumecheng-4870	119	18	cycles	cycle	NOUN
fumecheng-4870	119	19	of	of	ADP
fumecheng-4870	119	20	oscillation	oscillation	NOUN
fumecheng-4870	119	21	(	(	PUNCT
fumecheng-4870	119	22	the	the	DET
fumecheng-4870	119	23	large	large	ADJ
fumecheng-4870	119	24	value	value	NOUN
fumecheng-4870	119	25	of	of	ADP
fumecheng-4870	119	26	wear	wear	NOUN
fumecheng-4870	119	27	coefficient	coefficient	NOUN
fumecheng-4870	119	28	is	be	AUX
fumecheng-4870	119	29	used	use	VERB
fumecheng-4870	119	30	to	to	PART
fumecheng-4870	119	31	observe	observe	VERB
fumecheng-4870	119	32	the	the	DET
fumecheng-4870	119	33	wear	wear	NOUN
fumecheng-4870	119	34	behavior	behavior	NOUN
fumecheng-4870	119	35	quickly	quickly	ADV
fumecheng-4870	119	36	)	)	PUNCT
fumecheng-4870	119	37	.	.	PUNCT
fumecheng-4870	120	1	the	the	DET
fumecheng-4870	120	2	3d	3d	NOUN
fumecheng-4870	120	3	worn	wear	VERB
fumecheng-4870	120	4	profile	profile	NOUN
fumecheng-4870	120	5	and	and	CCONJ
fumecheng-4870	120	6	the	the	DET
fumecheng-4870	120	7	corresponding	correspond	VERB
fumecheng-4870	120	8	1d	1d	NUM
fumecheng-4870	120	9	profile	profile	NOUN
fumecheng-4870	120	10	are	be	AUX
fumecheng-4870	120	11	shown	show	VERB
fumecheng-4870	120	12	in	in	ADP
fumecheng-4870	120	13	figs.3a	figs.3a	PROPN
fumecheng-4870	120	14	and	and	CCONJ
fumecheng-4870	120	15	b.	b.	PROPN
fumecheng-4870	120	16	figs.3c	figs.3c	PROPN
fumecheng-4870	120	17	and	and	CCONJ
fumecheng-4870	120	18	d	d	AUX
fumecheng-4870	120	19	show	show	VERB
fumecheng-4870	120	20	the	the	DET
fumecheng-4870	120	21	3d	3d	NUM
fumecheng-4870	120	22	normal	normal	ADJ
fumecheng-4870	120	23	and	and	CCONJ
fumecheng-4870	120	24	tangential	tangential	ADJ
fumecheng-4870	120	25	stresses	stress	NOUN
fumecheng-4870	120	26	at	at	ADP
fumecheng-4870	120	27	state	state	NOUN
fumecheng-4870	120	28	1	1	NUM
fumecheng-4870	120	29	and	and	CCONJ
fumecheng-4870	120	30	3	3	NUM
fumecheng-4870	120	31	,	,	PUNCT
fumecheng-4870	120	32	where	where	SCONJ
fumecheng-4870	120	33	the	the	DET
fumecheng-4870	120	34	indenter	indenter	NOUN
fumecheng-4870	120	35	is	be	AUX
fumecheng-4870	120	36	located	locate	VERB
fumecheng-4870	120	37	shortly	shortly	ADV
fumecheng-4870	120	38	before	before	ADP
fumecheng-4870	120	39	3/4	3/4	NUM
fumecheng-4870	120	40	and	and	CCONJ
fumecheng-4870	120	41	1/4	1/4	NUM
fumecheng-4870	120	42	period	period	NOUN
fumecheng-4870	120	43	,	,	PUNCT
fumecheng-4870	120	44	respectively	respectively	ADV
fumecheng-4870	120	45	.	.	PUNCT
fumecheng-4870	121	1	the	the	DET
fumecheng-4870	121	2	difference	difference	NOUN
fumecheng-4870	121	3	of	of	ADP
fumecheng-4870	121	4	the	the	DET
fumecheng-4870	121	5	3d	3d	PROPN
fumecheng-4870	121	6	profile	profile	NOUN
fumecheng-4870	121	7	between	between	ADP
fumecheng-4870	121	8	these	these	DET
fumecheng-4870	121	9	two	two	NUM
fumecheng-4870	121	10	methods	method	NOUN
fumecheng-4870	121	11	is	be	AUX
fumecheng-4870	121	12	very	very	ADV
fumecheng-4870	121	13	small	small	ADJ
fumecheng-4870	121	14	.	.	PUNCT
fumecheng-4870	122	1	only	only	ADV
fumecheng-4870	122	2	when	when	SCONJ
fumecheng-4870	122	3	the	the	DET
fumecheng-4870	122	4	surface	surface	NOUN
fumecheng-4870	122	5	is	be	AUX
fumecheng-4870	122	6	strongly	strongly	ADV
fumecheng-4870	122	7	worn	worn	ADJ
fumecheng-4870	122	8	,	,	PUNCT
fumecheng-4870	122	9	the	the	DET
fumecheng-4870	122	10	stress	stress	NOUN
fumecheng-4870	122	11	singularity	singularity	NOUN
fumecheng-4870	122	12	at	at	ADP
fumecheng-4870	122	13	the	the	DET
fumecheng-4870	122	14	border	border	NOUN
fumecheng-4870	122	15	of	of	ADP
fumecheng-4870	122	16	stick	stick	PROPN
fumecheng-4870	122	17	region	region	NOUN
fumecheng-4870	122	18	can	can	AUX
fumecheng-4870	122	19	be	be	AUX
fumecheng-4870	122	20	observed	observe	VERB
fumecheng-4870	122	21	.	.	PUNCT
fumecheng-4870	123	1	4	4	X
fumecheng-4870	123	2	.	.	X
fumecheng-4870	123	3	conclusion	conclusion	NOUN
fumecheng-4870	123	4	we	we	PRON
fumecheng-4870	123	5	provide	provide	VERB
fumecheng-4870	123	6	two	two	NUM
fumecheng-4870	123	7	approaches	approach	NOUN
fumecheng-4870	123	8	to	to	ADP
fumecheng-4870	123	9	improving	improve	VERB
fumecheng-4870	123	10	the	the	DET
fumecheng-4870	123	11	accuracy	accuracy	NOUN
fumecheng-4870	123	12	of	of	ADP
fumecheng-4870	123	13	the	the	DET
fumecheng-4870	123	14	numerical	numerical	ADJ
fumecheng-4870	123	15	implementation	implementation	NOUN
fumecheng-4870	123	16	of	of	ADP
fumecheng-4870	123	17	the	the	DET
fumecheng-4870	123	18	transformations	transformation	NOUN
fumecheng-4870	123	19	for	for	ADP
fumecheng-4870	123	20	the	the	DET
fumecheng-4870	123	21	fretting	fret	VERB
fumecheng-4870	123	22	wear	wear	NOUN
fumecheng-4870	123	23	.	.	PUNCT
fumecheng-4870	124	1	both	both	CCONJ
fumecheng-4870	124	2	the	the	DET
fumecheng-4870	124	3	methods	method	NOUN
fumecheng-4870	124	4	provide	provide	VERB
fumecheng-4870	124	5	a	a	DET
fumecheng-4870	124	6	fast	fast	ADJ
fumecheng-4870	124	7	and	and	CCONJ
fumecheng-4870	124	8	stable	stable	ADJ
fumecheng-4870	124	9	simulation	simulation	NOUN
fumecheng-4870	124	10	in	in	ADP
fumecheng-4870	124	11	the	the	DET
fumecheng-4870	124	12	fretting	fret	VERB
fumecheng-4870	124	13	contact	contact	NOUN
fumecheng-4870	124	14	.	.	PUNCT
fumecheng-4870	125	1	besides	besides	SCONJ
fumecheng-4870	125	2	the	the	DET
fumecheng-4870	125	3	example	example	NOUN
fumecheng-4870	125	4	presented	present	VERB
fumecheng-4870	125	5	in	in	ADP
fumecheng-4870	125	6	section	section	NOUN
fumecheng-4870	125	7	4	4	NUM
fumecheng-4870	125	8	,	,	PUNCT
fumecheng-4870	125	9	we	we	PRON
fumecheng-4870	125	10	have	have	AUX
fumecheng-4870	125	11	tried	try	VERB
fumecheng-4870	125	12	a	a	DET
fumecheng-4870	125	13	few	few	ADJ
fumecheng-4870	125	14	simulations	simulation	NOUN
fumecheng-4870	125	15	with	with	ADP
fumecheng-4870	125	16	other	other	ADJ
fumecheng-4870	125	17	laws	law	NOUN
fumecheng-4870	125	18	of	of	ADP
fumecheng-4870	125	19	wear	wear	NOUN
fumecheng-4870	125	20	,	,	PUNCT
fumecheng-4870	125	21	for	for	ADP
fumecheng-4870	125	22	example	example	NOUN
fumecheng-4870	125	23	f	f	NOUN
fumecheng-4870	125	24	~	~	SYM
fumecheng-4870	125	25	τ	τ	X
fumecheng-4870	125	26	1.5	1.5	NUM
fumecheng-4870	125	27	,	,	PUNCT
fumecheng-4870	125	28	and	and	CCONJ
fumecheng-4870	125	29	using	use	VERB
fumecheng-4870	125	30	not	not	PART
fumecheng-4870	125	31	only	only	ADV
fumecheng-4870	125	32	the	the	DET
fumecheng-4870	125	33	methods	method	NOUN
fumecheng-4870	125	34	a	a	PRON
fumecheng-4870	125	35	and	and	CCONJ
fumecheng-4870	125	36	b	b	NOUN
fumecheng-4870	125	37	but	but	CCONJ
fumecheng-4870	125	38	also	also	ADV
fumecheng-4870	125	39	their	their	PRON
fumecheng-4870	125	40	combinations	combination	NOUN
fumecheng-4870	125	41	.	.	PUNCT
fumecheng-4870	126	1	it	it	PRON
fumecheng-4870	126	2	is	be	AUX
fumecheng-4870	126	3	found	find	VERB
fumecheng-4870	126	4	that	that	SCONJ
fumecheng-4870	126	5	method	method	NOUN
fumecheng-4870	126	6	b	b	NOUN
fumecheng-4870	126	7	gives	give	VERB
fumecheng-4870	126	8	sometimes	sometimes	ADV
fumecheng-4870	126	9	unstable	unstable	ADJ
fumecheng-4870	126	10	simulations	simulation	NOUN
fumecheng-4870	126	11	for	for	ADP
fumecheng-4870	126	12	a	a	DET
fumecheng-4870	126	13	relatively	relatively	ADV
fumecheng-4870	126	14	large	large	ADJ
fumecheng-4870	126	15	wear	wear	NOUN
fumecheng-4870	126	16	coefficient	coefficient	NOUN
fumecheng-4870	126	17	.	.	PUNCT
fumecheng-4870	127	1	generally	generally	ADV
fumecheng-4870	127	2	,	,	PUNCT
fumecheng-4870	127	3	for	for	ADP
fumecheng-4870	127	4	the	the	DET
fumecheng-4870	127	5	wear	wear	NOUN
fumecheng-4870	127	6	or	or	CCONJ
fumecheng-4870	127	7	other	other	ADJ
fumecheng-4870	127	8	contact	contact	NOUN
fumecheng-4870	127	9	problems	problem	NOUN
fumecheng-4870	127	10	,	,	PUNCT
fumecheng-4870	127	11	we	we	PRON
fumecheng-4870	127	12	suggest	suggest	VERB
fumecheng-4870	127	13	the	the	DET
fumecheng-4870	127	14	users	user	NOUN
fumecheng-4870	127	15	of	of	ADP
fumecheng-4870	127	16	the	the	DET
fumecheng-4870	127	17	mdr	mdr	PROPN
fumecheng-4870	127	18	to	to	PART
fumecheng-4870	127	19	use	use	VERB
fumecheng-4870	127	20	the	the	DET
fumecheng-4870	127	21	numerical	numerical	ADJ
fumecheng-4870	127	22	implementation	implementation	NOUN
fumecheng-4870	127	23	of	of	ADP
fumecheng-4870	127	24	transformations	transformation	NOUN
fumecheng-4870	127	25	in	in	ADP
fumecheng-4870	127	26	the	the	DET
fumecheng-4870	127	27	following	following	ADJ
fumecheng-4870	127	28	consequents	consequent	NOUN
fumecheng-4870	127	29	:	:	PUNCT
fumecheng-4870	127	30	a	a	X
fumecheng-4870	127	31	)	)	PUNCT
fumecheng-4870	127	32	method	method	NOUN
fumecheng-4870	127	33	a	a	PRON
fumecheng-4870	127	34	;	;	PUNCT
fumecheng-4870	127	35	b	b	X
fumecheng-4870	127	36	)	)	PUNCT
fumecheng-4870	127	37	combination	combination	NOUN
fumecheng-4870	127	38	of	of	ADP
fumecheng-4870	127	39	method	method	NOUN
fumecheng-4870	127	40	a	a	PRON
fumecheng-4870	127	41	for	for	ADP
fumecheng-4870	127	42	eqs	eqs	X
fumecheng-4870	127	43	.	.	PUNCT
fumecheng-4870	128	1	(	(	PUNCT
fumecheng-4870	128	2	1	1	X
fumecheng-4870	128	3	)	)	PUNCT
fumecheng-4870	128	4	and	and	CCONJ
fumecheng-4870	128	5	(	(	PUNCT
fumecheng-4870	128	6	3	3	NUM
fumecheng-4870	128	7	)	)	PUNCT
fumecheng-4870	128	8	and	and	CCONJ
fumecheng-4870	128	9	method	method	NOUN
fumecheng-4870	128	10	b	b	PROPN
fumecheng-4870	128	11	for	for	ADP
fumecheng-4870	128	12	eq	eq	NOUN
fumecheng-4870	128	13	.	.	PUNCT
fumecheng-4870	129	1	(	(	PUNCT
fumecheng-4870	129	2	2	2	NUM
fumecheng-4870	129	3	)	)	PUNCT
fumecheng-4870	129	4	;	;	PUNCT
fumecheng-4870	129	5	c	c	X
fumecheng-4870	129	6	)	)	PUNCT
fumecheng-4870	129	7	method	method	PROPN
fumecheng-4870	129	8	b.	b.	PROPN
fumecheng-4870	129	9	in	in	ADP
fumecheng-4870	129	10	the	the	DET
fumecheng-4870	129	11	tests	test	NOUN
fumecheng-4870	129	12	there	there	PRON
fumecheng-4870	129	13	is	be	VERB
fumecheng-4870	129	14	almost	almost	ADV
fumecheng-4870	129	15	no	no	PRON
fumecheng-4870	129	16	difference	difference	NOUN
fumecheng-4870	129	17	observed	observe	VERB
fumecheng-4870	129	18	between	between	ADP
fumecheng-4870	129	19	suggestions	suggestion	NOUN
fumecheng-4870	129	20	(	(	PUNCT
fumecheng-4870	129	21	a	a	X
fumecheng-4870	129	22	)	)	PUNCT
fumecheng-4870	129	23	and	and	CCONJ
fumecheng-4870	129	24	(	(	PUNCT
fumecheng-4870	129	25	b	b	NOUN
fumecheng-4870	129	26	)	)	PUNCT
fumecheng-4870	129	27	.	.	PUNCT
fumecheng-4870	130	1	acknowledgements	acknowledgement	NOUN
fumecheng-4870	130	2	:	:	PUNCT
fumecheng-4870	130	3	the	the	DET
fumecheng-4870	130	4	authors	author	NOUN
fumecheng-4870	130	5	thank	thank	VERB
fumecheng-4870	130	6	dimaki	dimaki	PROPN
fumecheng-4870	130	7	a.v	a.v	PROPN
fumecheng-4870	130	8	.	.	PROPN
fumecheng-4870	130	9	for	for	ADP
fumecheng-4870	130	10	providing	provide	VERB
fumecheng-4870	130	11	the	the	DET
fumecheng-4870	130	12	numerical	numerical	PROPN
fumecheng-4870	130	13	code	code	PROPN
fumecheng-4870	130	14	for	for	ADP
fumecheng-4870	130	15	fretting	fret	VERB
fumecheng-4870	130	16	contact	contact	NOUN
fumecheng-4870	130	17	studied	study	VERB
fumecheng-4870	130	18	in	in	ADP
fumecheng-4870	130	19	[	[	X
fumecheng-4870	130	20	5	5	NUM
fumecheng-4870	130	21	]	]	PUNCT
fumecheng-4870	130	22	and	and	CCONJ
fumecheng-4870	130	23	thank	thank	VERB
fumecheng-4870	130	24	popov	popov	PROPN
fumecheng-4870	130	25	v.l	v.l	PROPN
fumecheng-4870	130	26	.	.	PROPN
fumecheng-4870	130	27	for	for	ADP
fumecheng-4870	130	28	the	the	DET
fumecheng-4870	130	29	discussion	discussion	NOUN
fumecheng-4870	130	30	.	.	PUNCT
fumecheng-4870	131	1	references	reference	NOUN
fumecheng-4870	131	2	1	1	NUM
fumecheng-4870	131	3	.	.	PUNCT
fumecheng-4870	132	1	popov	popov	PROPN
fumecheng-4870	132	2	,	,	PUNCT
fumecheng-4870	132	3	v.l	v.l	PROPN
fumecheng-4870	132	4	.	.	PROPN
fumecheng-4870	132	5	,	,	PUNCT
fumecheng-4870	132	6	heß	heß	PROPN
fumecheng-4870	132	7	,	,	PUNCT
fumecheng-4870	132	8	m.	m.	NOUN
fumecheng-4870	132	9	,	,	PUNCT
fumecheng-4870	132	10	2015	2015	NUM
fumecheng-4870	132	11	,	,	PUNCT
fumecheng-4870	132	12	method	method	NOUN
fumecheng-4870	132	13	of	of	ADP
fumecheng-4870	132	14	dimensionality	dimensionality	NOUN
fumecheng-4870	132	15	reduction	reduction	NOUN
fumecheng-4870	132	16	in	in	ADP
fumecheng-4870	132	17	contact	contact	NOUN
fumecheng-4870	132	18	mechanics	mechanic	NOUN
fumecheng-4870	132	19	and	and	CCONJ
fumecheng-4870	132	20	friction	friction	NOUN
fumecheng-4870	132	21	,	,	PUNCT
fumecheng-4870	132	22	springer	springer	NOUN
fumecheng-4870	132	23	,	,	PUNCT
fumecheng-4870	132	24	berlin	berlin	PROPN
fumecheng-4870	132	25	.	.	PUNCT
fumecheng-4870	133	1	2	2	X
fumecheng-4870	133	2	.	.	X
fumecheng-4870	133	3	kevin	kevin	PROPN
fumecheng-4870	133	4	truyaert	truyaert	PROPN
fumecheng-4870	133	5	,	,	PUNCT
fumecheng-4870	133	6	k.	k.	PROPN
fumecheng-4870	133	7	,	,	PUNCT
fumecheng-4870	133	8	aleshin	aleshin	PROPN
fumecheng-4870	133	9	,	,	PUNCT
fumecheng-4870	133	10	v.	v.	PROPN
fumecheng-4870	133	11	,	,	PUNCT
fumecheng-4870	133	12	koen	koen	PROPN
fumecheng-4870	133	13	van	van	PROPN
fumecheng-4870	133	14	den	den	PROPN
fumecheng-4870	133	15	abeele	abeele	PROPN
fumecheng-4870	133	16	,	,	PUNCT
fumecheng-4870	133	17	delrue	delrue	PROPN
fumecheng-4870	133	18	,	,	PUNCT
fumecheng-4870	133	19	s.	s.	PROPN
fumecheng-4870	133	20	,	,	PUNCT
fumecheng-4870	133	21	2019	2019	NUM
fumecheng-4870	133	22	,	,	PUNCT
fumecheng-4870	133	23	theoretical	theoretical	ADJ
fumecheng-4870	133	24	calculation	calculation	NOUN
fumecheng-4870	133	25	of	of	ADP
fumecheng-4870	133	26	the	the	DET
fumecheng-4870	133	27	instantaneous	instantaneous	ADJ
fumecheng-4870	133	28	friction	friction	NOUN
fumecheng-4870	133	29	-	-	PUNCT
fumecheng-4870	133	30	induced	induce	VERB
fumecheng-4870	133	31	energy	energy	NOUN
fumecheng-4870	133	32	losses	loss	NOUN
fumecheng-4870	133	33	in	in	ADP
fumecheng-4870	133	34	arbitrarily	arbitrarily	ADV
fumecheng-4870	133	35	excited	excite	VERB
fumecheng-4870	133	36	axisymmetric	axisymmetric	ADJ
fumecheng-4870	133	37	mechanical	mechanical	ADJ
fumecheng-4870	133	38	contact	contact	NOUN
fumecheng-4870	133	39	systems	system	NOUN
fumecheng-4870	133	40	,	,	PUNCT
fumecheng-4870	133	41	int	int	NOUN
fumecheng-4870	133	42	.	.	PUNCT
fumecheng-4870	134	1	j.	j.	PROPN
fumecheng-4870	134	2	solids	solids	PROPN
fumecheng-4870	134	3	struct	struct	NOUN
fumecheng-4870	134	4	.	.	PUNCT
fumecheng-4870	134	5	,	,	PUNCT
fumecheng-4870	134	6	158	158	NUM
fumecheng-4870	134	7	,	,	PUNCT
fumecheng-4870	134	8	pp	pp	ADJ
fumecheng-4870	134	9	.	.	PUNCT
fumecheng-4870	135	1	268	268	NUM
fumecheng-4870	135	2	-	-	SYM
fumecheng-4870	135	3	276	276	NUM
fumecheng-4870	135	4	.	.	PUNCT
fumecheng-4870	136	1	3	3	X
fumecheng-4870	136	2	.	.	X
fumecheng-4870	136	3	popov	popov	PROPN
fumecheng-4870	136	4	,	,	PUNCT
fumecheng-4870	136	5	v.l	v.l	PROPN
fumecheng-4870	136	6	.	.	PROPN
fumecheng-4870	136	7	,	,	PUNCT
fumecheng-4870	136	8	heß	heß	PROPN
fumecheng-4870	136	9	,	,	PUNCT
fumecheng-4870	136	10	m.	m.	NOUN
fumecheng-4870	136	11	,	,	PUNCT
fumecheng-4870	136	12	2014	2014	NUM
fumecheng-4870	136	13	,	,	PUNCT
fumecheng-4870	136	14	method	method	NOUN
fumecheng-4870	136	15	of	of	ADP
fumecheng-4870	136	16	dimensionality	dimensionality	NOUN
fumecheng-4870	136	17	reduction	reduction	NOUN
fumecheng-4870	136	18	in	in	ADP
fumecheng-4870	136	19	contact	contact	NOUN
fumecheng-4870	136	20	mechanics	mechanic	NOUN
fumecheng-4870	136	21	and	and	CCONJ
fumecheng-4870	136	22	friction	friction	NOUN
fumecheng-4870	136	23	:	:	PUNCT
fumecheng-4870	136	24	a	a	DET
fumecheng-4870	136	25	user	user	NOUN
fumecheng-4870	136	26	’s	’s	PART
fumecheng-4870	136	27	handbook	handbook	NOUN
fumecheng-4870	136	28	.	.	PUNCT
fumecheng-4870	137	1	i.	i.	PROPN
fumecheng-4870	137	2	axially	axially	ADV
fumecheng-4870	137	3	-	-	PUNCT
fumecheng-4870	137	4	symmetric	symmetric	ADJ
fumecheng-4870	137	5	contacts	contact	NOUN
fumecheng-4870	137	6	,	,	PUNCT
fumecheng-4870	137	7	facta	facta	PROPN
fumecheng-4870	137	8	universitatis	universitatis	PROPN
fumecheng-4870	137	9	-	-	PUNCT
fumecheng-4870	137	10	series	series	NOUN
fumecheng-4870	137	11	mechanical	mechanical	ADJ
fumecheng-4870	137	12	engineering	engineering	NOUN
fumecheng-4870	137	13	,	,	PUNCT
fumecheng-4870	137	14	12	12	NUM
fumecheng-4870	137	15	,	,	PUNCT
fumecheng-4870	137	16	pp	pp	PROPN
fumecheng-4870	137	17	.	.	PUNCT
fumecheng-4870	138	1	1–14	1–14	PROPN
fumecheng-4870	138	2	.	.	PROPN
fumecheng-4870	139	1	4	4	NUM
fumecheng-4870	139	2	.	.	X
fumecheng-4870	140	1	popov	popov	PROPN
fumecheng-4870	140	2	,	,	PUNCT
fumecheng-4870	140	3	m.	m.	NOUN
fumecheng-4870	140	4	,	,	PUNCT
fumecheng-4870	140	5	popov	popov	PROPN
fumecheng-4870	140	6	,	,	PUNCT
fumecheng-4870	140	7	v.l	v.l	PROPN
fumecheng-4870	140	8	.	.	PROPN
fumecheng-4870	140	9	,	,	PUNCT
fumecheng-4870	140	10	pohrt	pohrt	PROPN
fumecheng-4870	140	11	,	,	PUNCT
fumecheng-4870	140	12	r.	r.	PROPN
fumecheng-4870	140	13	,	,	PUNCT
fumecheng-4870	140	14	2015	2015	NUM
fumecheng-4870	140	15	,	,	PUNCT
fumecheng-4870	140	16	relaxation	relaxation	NOUN
fumecheng-4870	140	17	damping	damp	VERB
fumecheng-4870	140	18	in	in	ADP
fumecheng-4870	140	19	oscillating	oscillate	VERB
fumecheng-4870	140	20	contacts	contact	NOUN
fumecheng-4870	140	21	,	,	PUNCT
fumecheng-4870	140	22	sci	sci	PROPN
fumecheng-4870	140	23	.	.	PROPN
fumecheng-4870	140	24	r.	r.	PROPN
fumecheng-4870	140	25	,	,	PUNCT
fumecheng-4870	140	26	5	5	NUM
fumecheng-4870	140	27	,	,	PUNCT
fumecheng-4870	140	28	16189	16189	NUM
fumecheng-4870	140	29	.	.	PUNCT
fumecheng-4870	141	1	5	5	X
fumecheng-4870	141	2	.	.	X
fumecheng-4870	141	3	dimaki	dimaki	NOUN
fumecheng-4870	141	4	,	,	PUNCT
fumecheng-4870	141	5	a.v	a.v	PROPN
fumecheng-4870	141	6	.	.	PROPN
fumecheng-4870	141	7	,	,	PUNCT
fumecheng-4870	141	8	dmitriev	dmitriev	PROPN
fumecheng-4870	141	9	,	,	PUNCT
fumecheng-4870	141	10	a.i	a.i	PROPN
fumecheng-4870	141	11	.	.	PROPN
fumecheng-4870	141	12	,	,	PUNCT
fumecheng-4870	141	13	chai	chai	NOUN
fumecheng-4870	141	14	,	,	PUNCT
fumecheng-4870	141	15	y.s	y.s	PROPN
fumecheng-4870	141	16	.	.	PROPN
fumecheng-4870	141	17	,	,	PUNCT
fumecheng-4870	141	18	popov	popov	PROPN
fumecheng-4870	141	19	,	,	PUNCT
fumecheng-4870	141	20	v.l	v.l	PROPN
fumecheng-4870	141	21	.	.	PROPN
fumecheng-4870	141	22	,	,	PUNCT
fumecheng-4870	141	23	2014	2014	NUM
fumecheng-4870	141	24	,	,	PUNCT
fumecheng-4870	141	25	rapid	rapid	ADJ
fumecheng-4870	141	26	simulation	simulation	NOUN
fumecheng-4870	141	27	procedure	procedure	NOUN
fumecheng-4870	141	28	for	for	ADP
fumecheng-4870	141	29	fretting	fret	VERB
fumecheng-4870	141	30	wear	wear	NOUN
fumecheng-4870	141	31	on	on	ADP
fumecheng-4870	141	32	the	the	DET
fumecheng-4870	141	33	basis	basis	NOUN
fumecheng-4870	141	34	of	of	ADP
fumecheng-4870	141	35	the	the	DET
fumecheng-4870	141	36	method	method	NOUN
fumecheng-4870	141	37	of	of	ADP
fumecheng-4870	141	38	dimensionality	dimensionality	NOUN
fumecheng-4870	141	39	reduction	reduction	NOUN
fumecheng-4870	141	40	,	,	PUNCT
fumecheng-4870	141	41	int	int	NOUN
fumecheng-4870	141	42	.	.	PUNCT
fumecheng-4870	142	1	j.	j.	PROPN
fumecheng-4870	142	2	solids	solids	PROPN
fumecheng-4870	142	3	struct	struct	NOUN
fumecheng-4870	142	4	.	.	PUNCT
fumecheng-4870	142	5	,	,	PUNCT
fumecheng-4870	142	6	51	51	NUM
fumecheng-4870	142	7	,	,	PUNCT
fumecheng-4870	142	8	pp	pp	ADJ
fumecheng-4870	142	9	.	.	PUNCT
fumecheng-4870	143	1	4215	4215	NUM
fumecheng-4870	143	2	-	-	SYM
fumecheng-4870	143	3	4220	4220	NUM
fumecheng-4870	143	4	.	.	PUNCT
fumecheng-4870	144	1	numerical	numerical	ADJ
fumecheng-4870	144	2	implementation	implementation	NOUN
fumecheng-4870	144	3	of	of	ADP
fumecheng-4870	144	4	fretting	fret	VERB
fumecheng-4870	144	5	wear	wear	NOUN
fumecheng-4870	144	6	in	in	ADP
fumecheng-4870	144	7	the	the	DET
fumecheng-4870	144	8	framework	framework	NOUN
fumecheng-4870	144	9	of	of	ADP
fumecheng-4870	144	10	the	the	DET
fumecheng-4870	144	11	mdr	mdr	PROPN
fumecheng-4870	144	12	93	93	NUM
fumecheng-4870	144	13	6	6	NUM
fumecheng-4870	144	14	.	.	PUNCT
fumecheng-4870	145	1	dimaki	dimaki	NOUN
fumecheng-4870	145	2	,	,	PUNCT
fumecheng-4870	145	3	a.v	a.v	PROPN
fumecheng-4870	145	4	.	.	PROPN
fumecheng-4870	145	5	,	,	PUNCT
fumecheng-4870	145	6	dmitriev	dmitriev	PROPN
fumecheng-4870	145	7	,	,	PUNCT
fumecheng-4870	145	8	a.i	a.i	PROPN
fumecheng-4870	145	9	.	.	PROPN
fumecheng-4870	145	10	,	,	PUNCT
fumecheng-4870	145	11	menga	menga	PROPN
fumecheng-4870	145	12	,	,	PUNCT
fumecheng-4870	145	13	n.	n.	NOUN
fumecheng-4870	145	14	,	,	PUNCT
fumecheng-4870	145	15	papangelo	papangelo	NOUN
fumecheng-4870	145	16	,	,	PUNCT
fumecheng-4870	145	17	a.	a.	NOUN
fumecheng-4870	145	18	,	,	PUNCT
fumecheng-4870	145	19	ciavarella	ciavarella	NOUN
fumecheng-4870	145	20	,	,	PUNCT
fumecheng-4870	145	21	m.	m.	NOUN
fumecheng-4870	145	22	,	,	PUNCT
fumecheng-4870	145	23	popov	popov	PROPN
fumecheng-4870	145	24	,	,	PUNCT
fumecheng-4870	145	25	v.l	v.l	PROPN
fumecheng-4870	145	26	.	.	PROPN
fumecheng-4870	145	27	,	,	PUNCT
fumecheng-4870	145	28	2016	2016	NUM
fumecheng-4870	145	29	,	,	PUNCT
fumecheng-4870	145	30	fast	fast	ADJ
fumecheng-4870	145	31	high	high	ADJ
fumecheng-4870	145	32	-	-	PUNCT
fumecheng-4870	145	33	resolution	resolution	NOUN
fumecheng-4870	145	34	simulation	simulation	NOUN
fumecheng-4870	145	35	of	of	ADP
fumecheng-4870	145	36	the	the	DET
fumecheng-4870	145	37	gross	gross	ADJ
fumecheng-4870	145	38	slip	slip	NOUN
fumecheng-4870	145	39	wear	wear	NOUN
fumecheng-4870	145	40	of	of	ADP
fumecheng-4870	145	41	axially	axially	ADV
fumecheng-4870	145	42	symmetric	symmetric	ADJ
fumecheng-4870	145	43	contacts	contact	NOUN
fumecheng-4870	145	44	,	,	PUNCT
fumecheng-4870	145	45	tribol	tribol	NOUN
fumecheng-4870	145	46	.	.	PUNCT
fumecheng-4870	146	1	trans	trans	PROPN
fumecheng-4870	146	2	.	.	PROPN
fumecheng-4870	146	3	,	,	PUNCT
fumecheng-4870	146	4	59	59	NUM
fumecheng-4870	146	5	,	,	PUNCT
fumecheng-4870	146	6	pp	pp	ADJ
fumecheng-4870	146	7	.	.	PUNCT
fumecheng-4870	147	1	189	189	NUM
fumecheng-4870	147	2	-	-	SYM
fumecheng-4870	147	3	194	194	NUM
fumecheng-4870	147	4	.	.	PUNCT
fumecheng-4870	148	1	7	7	X
fumecheng-4870	148	2	.	.	X
fumecheng-4870	148	3	dasch	dasch	PROPN
fumecheng-4870	148	4	,	,	PUNCT
fumecheng-4870	148	5	c.j	c.j	PROPN
fumecheng-4870	148	6	.	.	PROPN
fumecheng-4870	148	7	,	,	PUNCT
fumecheng-4870	148	8	1992	1992	NUM
fumecheng-4870	148	9	,	,	PUNCT
fumecheng-4870	148	10	one	one	NUM
fumecheng-4870	148	11	-	-	PUNCT
fumecheng-4870	148	12	dimensional	dimensional	ADJ
fumecheng-4870	148	13	tomography	tomography	NOUN
fumecheng-4870	148	14	:	:	PUNCT
fumecheng-4870	148	15	a	a	DET
fumecheng-4870	148	16	comparison	comparison	NOUN
fumecheng-4870	148	17	of	of	ADP
fumecheng-4870	148	18	abel	abel	NOUN
fumecheng-4870	148	19	,	,	PUNCT
fumecheng-4870	148	20	onion	onion	NOUN
fumecheng-4870	148	21	-	-	PUNCT
fumecheng-4870	148	22	peeling	peel	VERB
fumecheng-4870	148	23	,	,	PUNCT
fumecheng-4870	148	24	and	and	CCONJ
fumecheng-4870	148	25	filtered	filter	VERB
fumecheng-4870	148	26	backprojection	backprojection	NOUN
fumecheng-4870	148	27	methods	method	NOUN
fumecheng-4870	148	28	,	,	PUNCT
fumecheng-4870	148	29	appl	appl	PROPN
fumecheng-4870	148	30	.	.	PROPN
fumecheng-4870	148	31	opt	opt	PROPN
fumecheng-4870	148	32	.	.	PUNCT
fumecheng-4870	148	33	,	,	PUNCT
fumecheng-4870	148	34	31	31	NUM
fumecheng-4870	148	35	,	,	PUNCT
fumecheng-4870	148	36	pp	pp	ADJ
fumecheng-4870	148	37	.	.	PUNCT
fumecheng-4870	149	1	1146	1146	NUM
fumecheng-4870	149	2	-	-	SYM
fumecheng-4870	149	3	1152	1152	NUM
fumecheng-4870	149	4	.	.	PUNCT
fumecheng-4870	150	1	8	8	X
fumecheng-4870	150	2	.	.	X
fumecheng-4870	150	3	kolhe	kolhe	PROPN
fumecheng-4870	150	4	,	,	PUNCT
fumecheng-4870	150	5	p.s	p.s	PROPN
fumecheng-4870	150	6	.	.	PROPN
fumecheng-4870	150	7	,	,	PUNCT
fumecheng-4870	150	8	agrawal	agrawal	PROPN
fumecheng-4870	150	9	,	,	PUNCT
fumecheng-4870	150	10	a.k	a.k	PROPN
fumecheng-4870	150	11	.	.	PROPN
fumecheng-4870	150	12	,	,	PUNCT
fumecheng-4870	150	13	2009	2009	NUM
fumecheng-4870	150	14	,	,	PUNCT
fumecheng-4870	150	15	abel	abel	PROPN
fumecheng-4870	150	16	inversion	inversion	NOUN
fumecheng-4870	150	17	of	of	ADP
fumecheng-4870	150	18	deflectometric	deflectometric	ADJ
fumecheng-4870	150	19	data	datum	NOUN
fumecheng-4870	150	20	:	:	PUNCT
fumecheng-4870	150	21	comparison	comparison	NOUN
fumecheng-4870	150	22	of	of	ADP
fumecheng-4870	150	23	accuracy	accuracy	NOUN
fumecheng-4870	150	24	and	and	CCONJ
fumecheng-4870	150	25	noise	noise	NOUN
fumecheng-4870	150	26	propagation	propagation	NOUN
fumecheng-4870	150	27	of	of	ADP
fumecheng-4870	150	28	existing	exist	VERB
fumecheng-4870	150	29	techniques	technique	NOUN
fumecheng-4870	150	30	,	,	PUNCT
fumecheng-4870	151	1	appl	appl	PROPN
fumecheng-4870	151	2	.	.	PROPN
fumecheng-4870	151	3	opt	opt	PROPN
fumecheng-4870	151	4	.	.	PUNCT
fumecheng-4870	151	5	,	,	PUNCT
fumecheng-4870	151	6	48	48	NUM
fumecheng-4870	151	7	,	,	PUNCT
fumecheng-4870	151	8	pp	pp	ADJ
fumecheng-4870	151	9	.	.	PUNCT
fumecheng-4870	152	1	3894	3894	NUM
fumecheng-4870	152	2	-	-	SYM
fumecheng-4870	152	3	3902	3902	NUM
fumecheng-4870	152	4	.	.	PUNCT
fumecheng-4870	153	1	9	9	NUM
fumecheng-4870	153	2	.	.	X
fumecheng-4870	153	3	benad	benad	PROPN
fumecheng-4870	153	4	,	,	PUNCT
fumecheng-4870	153	5	j.	j.	PROPN
fumecheng-4870	153	6	,	,	PUNCT
fumecheng-4870	153	7	2018	2018	NUM
fumecheng-4870	153	8	,	,	PUNCT
fumecheng-4870	153	9	fast	fast	ADJ
fumecheng-4870	153	10	numerical	numerical	ADJ
fumecheng-4870	153	11	implementation	implementation	NOUN
fumecheng-4870	153	12	of	of	ADP
fumecheng-4870	153	13	the	the	DET
fumecheng-4870	153	14	mdr	mdr	PROPN
fumecheng-4870	153	15	transformations	transformation	NOUN
fumecheng-4870	153	16	,	,	PUNCT
fumecheng-4870	153	17	facta	facta	PROPN
fumecheng-4870	153	18	universitatis	universitatis	PROPN
fumecheng-4870	153	19	-	-	PUNCT
fumecheng-4870	153	20	series	series	NOUN
fumecheng-4870	153	21	mechanical	mechanical	ADJ
fumecheng-4870	153	22	engineering	engineering	NOUN
fumecheng-4870	153	23	,	,	PUNCT
fumecheng-4870	153	24	16	16	NUM
fumecheng-4870	153	25	,	,	PUNCT
fumecheng-4870	153	26	pp	pp	ADJ
fumecheng-4870	153	27	.	.	PUNCT
fumecheng-4870	154	1	127–138	127–138	NUM
fumecheng-4870	154	2	.	.	PUNCT
fumecheng-4870	155	1	10	10	NUM
fumecheng-4870	155	2	.	.	X
fumecheng-4870	156	1	krylov	krylov	PROPN
fumecheng-4870	156	2	,	,	PUNCT
fumecheng-4870	156	3	v.i	v.i	PROPN
fumecheng-4870	156	4	.	.	PROPN
fumecheng-4870	156	5	,	,	PUNCT
fumecheng-4870	156	6	1962	1962	NUM
fumecheng-4870	156	7	,	,	PUNCT
fumecheng-4870	156	8	approximate	approximate	ADJ
fumecheng-4870	156	9	calculation	calculation	NOUN
fumecheng-4870	156	10	of	of	ADP
fumecheng-4870	156	11	integrals	integral	NOUN
fumecheng-4870	156	12	,	,	PUNCT
fumecheng-4870	156	13	the	the	DET
fumecheng-4870	156	14	macmillan	macmillan	PROPN
fumecheng-4870	156	15	company	company	NOUN
fumecheng-4870	156	16	,	,	PUNCT
fumecheng-4870	156	17	now	now	ADV
fumecheng-4870	156	18	york	york	PROPN
fumecheng-4870	156	19	.	.	PUNCT