id	sid	tid	token	lemma	pos
fumecheng-6927	1	1	plane	plane	NOUN
fumecheng-6927	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-6927	1	3	waves	wave	NOUN
fumecheng-6927	1	4	in	in	ADP
fumecheng-6927	1	5	infinite	infinite	ADJ
fumecheng-6927	1	6	half	half	ADJ
fumecheng-6927	1	7	-	-	PUNCT
fumecheng-6927	1	8	space	space	NOUN
fumecheng-6927	1	9	caused	cause	VERB
fumecheng-6927	1	10	facta	facta	PROPN
fumecheng-6927	1	11	universitatis	universitatis	PROPN
fumecheng-6927	1	12	series	series	NOUN
fumecheng-6927	1	13	:	:	PUNCT
fumecheng-6927	1	14	mechanical	mechanical	ADJ
fumecheng-6927	1	15	engineering	engineering	NOUN
fumecheng-6927	1	16	vol	vol	NOUN
fumecheng-6927	1	17	.	.	PROPN
fumecheng-6927	2	1	19	19	NUM
fumecheng-6927	2	2	,	,	PUNCT
fumecheng-6927	2	3	no	no	DET
fumecheng-6927	2	4	1	1	NUM
fumecheng-6927	2	5	,	,	PUNCT
fumecheng-6927	2	6	2021	2021	NUM
fumecheng-6927	2	7	,	,	PUNCT
fumecheng-6927	2	8	pp	pp	ADV
fumecheng-6927	2	9	.	.	PUNCT
fumecheng-6927	3	1	133	133	NUM
fumecheng-6927	3	2	153	153	NUM
fumecheng-6927	3	3	https://doi.org/10.22190/fume200920009f	https://doi.org/10.22190/fume200920009f	PROPN
fumecheng-6927	3	4	©	©	PROPN
fumecheng-6927	3	5	2021	2021	NUM
fumecheng-6927	3	6	by	by	ADP
fumecheng-6927	3	7	university	university	PROPN
fumecheng-6927	3	8	of	of	ADP
fumecheng-6927	3	9	niš	niš	PROPN
fumecheng-6927	3	10	,	,	PUNCT
fumecheng-6927	3	11	serbia	serbia	PROPN
fumecheng-6927	3	12	|	|	ADV
fumecheng-6927	3	13	creative	creative	ADJ
fumecheng-6927	3	14	commons	common	NOUN
fumecheng-6927	3	15	license	license	NOUN
fumecheng-6927	3	16	:	:	PUNCT
fumecheng-6927	3	17	cc	cc	VERB
fumecheng-6927	3	18	by	by	ADP
fumecheng-6927	3	19	-	-	PUNCT
fumecheng-6927	3	20	nc	nc	VERB
fumecheng-6927	3	21	-	-	PUNCT
fumecheng-6927	3	22	nd	nd	ADV
fumecheng-6927	3	23	original	original	ADJ
fumecheng-6927	3	24	scientific	scientific	ADJ
fumecheng-6927	3	25	paper	paper	NUM
fumecheng-6927	3	26	guidelines	guideline	NOUN
fumecheng-6927	3	27	to	to	PART
fumecheng-6927	3	28	simulate	simulate	VERB
fumecheng-6927	3	29	linear	linear	ADJ
fumecheng-6927	3	30	viscoelastic	viscoelastic	NOUN
fumecheng-6927	3	31	materials	material	NOUN
fumecheng-6927	3	32	with	with	ADP
fumecheng-6927	3	33	an	an	DET
fumecheng-6927	3	34	arbitrary	arbitrary	ADJ
fumecheng-6927	3	35	number	number	NOUN
fumecheng-6927	3	36	of	of	ADP
fumecheng-6927	3	37	characteristic	characteristic	ADJ
fumecheng-6927	3	38	times	time	NOUN
fumecheng-6927	3	39	in	in	ADP
fumecheng-6927	3	40	the	the	DET
fumecheng-6927	3	41	context	context	NOUN
fumecheng-6927	3	42	of	of	ADP
fumecheng-6927	3	43	atomic	atomic	ADJ
fumecheng-6927	3	44	force	force	NOUN
fumecheng-6927	3	45	miscroscopy	miscroscopy	VERB
fumecheng-6927	3	46	maximilian	maximilian	PROPN
fumecheng-6927	3	47	forstenhäusler1	forstenhäusler1	PROPN
fumecheng-6927	3	48	,	,	PUNCT
fumecheng-6927	3	49	enrique	enrique	PROPN
fumecheng-6927	3	50	a.	a.	NOUN
fumecheng-6927	3	51	lópez	lópez	PROPN
fumecheng-6927	3	52	-	-	PUNCT
fumecheng-6927	3	53	guerra1,2	guerra1,2	PROPN
fumecheng-6927	3	54	,	,	PUNCT
fumecheng-6927	3	55	santiago	santiago	PROPN
fumecheng-6927	3	56	d.	d.	PROPN
fumecheng-6927	3	57	solares1	solares1	PROPN
fumecheng-6927	4	1	1the	1the	PROPN
fumecheng-6927	4	2	george	george	PROPN
fumecheng-6927	4	3	washington	washington	PROPN
fumecheng-6927	4	4	university	university	PROPN
fumecheng-6927	4	5	,	,	PUNCT
fumecheng-6927	4	6	department	department	NOUN
fumecheng-6927	4	7	of	of	ADP
fumecheng-6927	4	8	mechanical	mechanical	ADJ
fumecheng-6927	4	9	and	and	CCONJ
fumecheng-6927	4	10	aerospace	aerospace	NOUN
fumecheng-6927	4	11	engineering	engineering	NOUN
fumecheng-6927	4	12	,	,	PUNCT
fumecheng-6927	4	13	washington	washington	PROPN
fumecheng-6927	4	14	dc	dc	PROPN
fumecheng-6927	4	15	,	,	PUNCT
fumecheng-6927	4	16	usa	usa	PROPN
fumecheng-6927	4	17	2park	2park	PROPN
fumecheng-6927	4	18	systems	systems	PROPN
fumecheng-6927	4	19	inc	inc	PROPN
fumecheng-6927	4	20	.	.	PROPN
fumecheng-6927	4	21	,	,	PUNCT
fumecheng-6927	4	22	santa	santa	PROPN
fumecheng-6927	4	23	clara	clara	PROPN
fumecheng-6927	4	24	,	,	PUNCT
fumecheng-6927	4	25	ca	ca	PROPN
fumecheng-6927	4	26	,	,	PUNCT
fumecheng-6927	4	27	usa	usa	PROPN
fumecheng-6927	4	28	abstract	abstract	NOUN
fumecheng-6927	4	29	.	.	PUNCT
fumecheng-6927	5	1	we	we	PRON
fumecheng-6927	5	2	provide	provide	VERB
fumecheng-6927	5	3	guidelines	guideline	NOUN
fumecheng-6927	5	4	for	for	ADP
fumecheng-6927	5	5	modeling	model	VERB
fumecheng-6927	5	6	linear	linear	ADJ
fumecheng-6927	5	7	viscoelastic	viscoelastic	ADJ
fumecheng-6927	5	8	materials	material	NOUN
fumecheng-6927	5	9	containing	contain	VERB
fumecheng-6927	5	10	an	an	DET
fumecheng-6927	5	11	arbitrary	arbitrary	ADJ
fumecheng-6927	5	12	number	number	NOUN
fumecheng-6927	5	13	of	of	ADP
fumecheng-6927	5	14	characteristic	characteristic	ADJ
fumecheng-6927	5	15	times	time	NOUN
fumecheng-6927	5	16	,	,	PUNCT
fumecheng-6927	5	17	under	under	ADP
fumecheng-6927	5	18	atomic	atomic	ADJ
fumecheng-6927	5	19	force	force	NOUN
fumecheng-6927	5	20	microscopy	microscopy	NOUN
fumecheng-6927	5	21	(	(	PUNCT
fumecheng-6927	5	22	afm	afm	PROPN
fumecheng-6927	5	23	)	)	PUNCT
fumecheng-6927	5	24	characterization	characterization	NOUN
fumecheng-6927	5	25	.	.	PUNCT
fumecheng-6927	6	1	instructions	instruction	NOUN
fumecheng-6927	6	2	are	be	AUX
fumecheng-6927	6	3	provided	provide	VERB
fumecheng-6927	6	4	to	to	PART
fumecheng-6927	6	5	set	set	VERB
fumecheng-6927	6	6	up	up	ADP
fumecheng-6927	6	7	the	the	DET
fumecheng-6927	6	8	governing	govern	VERB
fumecheng-6927	6	9	equations	equation	NOUN
fumecheng-6927	6	10	that	that	PRON
fumecheng-6927	6	11	rule	rule	VERB
fumecheng-6927	6	12	the	the	DET
fumecheng-6927	6	13	deformation	deformation	NOUN
fumecheng-6927	6	14	of	of	ADP
fumecheng-6927	6	15	the	the	DET
fumecheng-6927	6	16	material	material	NOUN
fumecheng-6927	6	17	by	by	ADP
fumecheng-6927	6	18	the	the	DET
fumecheng-6927	6	19	afm	afm	PROPN
fumecheng-6927	6	20	tip	tip	NOUN
fumecheng-6927	6	21	.	.	PUNCT
fumecheng-6927	7	1	procedures	procedure	NOUN
fumecheng-6927	7	2	are	be	AUX
fumecheng-6927	7	3	described	describe	VERB
fumecheng-6927	7	4	in	in	ADP
fumecheng-6927	7	5	detail	detail	NOUN
fumecheng-6927	7	6	in	in	ADP
fumecheng-6927	7	7	the	the	DET
fumecheng-6927	7	8	spirit	spirit	NOUN
fumecheng-6927	7	9	of	of	ADP
fumecheng-6927	7	10	providing	provide	VERB
fumecheng-6927	7	11	a	a	DET
fumecheng-6927	7	12	simple	simple	ADJ
fumecheng-6927	7	13	handbook	handbook	NOUN
fumecheng-6927	7	14	,	,	PUNCT
fumecheng-6927	7	15	which	which	PRON
fumecheng-6927	7	16	is	be	AUX
fumecheng-6927	7	17	accompanied	accompany	VERB
fumecheng-6927	7	18	by	by	ADP
fumecheng-6927	7	19	open	open	ADJ
fumecheng-6927	7	20	-	-	PUNCT
fumecheng-6927	7	21	access	access	NOUN
fumecheng-6927	7	22	code	code	NOUN
fumecheng-6927	7	23	and	and	CCONJ
fumecheng-6927	7	24	workbook	workbook	NOUN
fumecheng-6927	7	25	(	(	PUNCT
fumecheng-6927	7	26	excel	excel	NOUN
fumecheng-6927	7	27	)	)	PUNCT
fumecheng-6927	7	28	sheets	sheet	NOUN
fumecheng-6927	7	29	.	.	PUNCT
fumecheng-6927	8	1	these	these	DET
fumecheng-6927	8	2	guidelines	guideline	NOUN
fumecheng-6927	8	3	seek	seek	VERB
fumecheng-6927	8	4	to	to	PART
fumecheng-6927	8	5	complement	complement	VERB
fumecheng-6927	8	6	the	the	DET
fumecheng-6927	8	7	existing	exist	VERB
fumecheng-6927	8	8	literature	literature	NOUN
fumecheng-6927	8	9	and	and	CCONJ
fumecheng-6927	8	10	reach	reach	VERB
fumecheng-6927	8	11	out	out	ADP
fumecheng-6927	8	12	to	to	ADP
fumecheng-6927	8	13	a	a	DET
fumecheng-6927	8	14	larger	large	ADJ
fumecheng-6927	8	15	audience	audience	NOUN
fumecheng-6927	8	16	in	in	ADP
fumecheng-6927	8	17	the	the	DET
fumecheng-6927	8	18	awareness	awareness	NOUN
fumecheng-6927	8	19	of	of	ADP
fumecheng-6927	8	20	the	the	DET
fumecheng-6927	8	21	interdisciplinary	interdisciplinary	ADJ
fumecheng-6927	8	22	nature	nature	NOUN
fumecheng-6927	8	23	of	of	ADP
fumecheng-6927	8	24	science	science	NOUN
fumecheng-6927	8	25	.	.	PUNCT
fumecheng-6927	9	1	examples	example	NOUN
fumecheng-6927	9	2	are	be	AUX
fumecheng-6927	9	3	given	give	VERB
fumecheng-6927	9	4	in	in	ADP
fumecheng-6927	9	5	the	the	DET
fumecheng-6927	9	6	context	context	NOUN
fumecheng-6927	9	7	of	of	ADP
fumecheng-6927	9	8	force	force	NOUN
fumecheng-6927	9	9	-	-	PUNCT
fumecheng-6927	9	10	distance	distance	NOUN
fumecheng-6927	9	11	curves	curve	NOUN
fumecheng-6927	9	12	characterization	characterization	NOUN
fumecheng-6927	9	13	within	within	ADP
fumecheng-6927	9	14	afm	afm	PROPN
fumecheng-6927	9	15	,	,	PUNCT
fumecheng-6927	9	16	but	but	CCONJ
fumecheng-6927	9	17	they	they	PRON
fumecheng-6927	9	18	can	can	AUX
fumecheng-6927	9	19	be	be	AUX
fumecheng-6927	9	20	easily	easily	ADV
fumecheng-6927	9	21	extrapolated	extrapolate	VERB
fumecheng-6927	9	22	to	to	ADP
fumecheng-6927	9	23	other	other	ADJ
fumecheng-6927	9	24	types	type	NOUN
fumecheng-6927	9	25	of	of	ADP
fumecheng-6927	9	26	contact	contact	NOUN
fumecheng-6927	9	27	characterization	characterization	NOUN
fumecheng-6927	9	28	techniques	technique	NOUN
fumecheng-6927	9	29	at	at	ADP
fumecheng-6927	9	30	different	different	ADJ
fumecheng-6927	9	31	length	length	NOUN
fumecheng-6927	9	32	scales	scale	NOUN
fumecheng-6927	9	33	.	.	PUNCT
fumecheng-6927	10	1	despite	despite	SCONJ
fumecheng-6927	10	2	the	the	DET
fumecheng-6927	10	3	simplified	simplified	ADJ
fumecheng-6927	10	4	approach	approach	NOUN
fumecheng-6927	10	5	of	of	ADP
fumecheng-6927	10	6	this	this	DET
fumecheng-6927	10	7	document	document	NOUN
fumecheng-6927	10	8	,	,	PUNCT
fumecheng-6927	10	9	the	the	DET
fumecheng-6927	10	10	algorithms	algorithm	NOUN
fumecheng-6927	10	11	described	describe	VERB
fumecheng-6927	10	12	herein	herein	NOUN
fumecheng-6927	10	13	are	be	AUX
fumecheng-6927	10	14	built	build	VERB
fumecheng-6927	10	15	upon	upon	SCONJ
fumecheng-6927	10	16	rigorous	rigorous	ADJ
fumecheng-6927	10	17	classical	classical	ADJ
fumecheng-6927	10	18	linear	linear	ADJ
fumecheng-6927	10	19	viscoelastic	viscoelastic	PROPN
fumecheng-6927	10	20	theory	theory	NOUN
fumecheng-6927	10	21	.	.	PUNCT
fumecheng-6927	11	1	key	key	ADJ
fumecheng-6927	11	2	words	word	NOUN
fumecheng-6927	11	3	:	:	PUNCT
fumecheng-6927	11	4	modeling	modeling	NOUN
fumecheng-6927	11	5	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	11	6	,	,	PUNCT
fumecheng-6927	11	7	generalized	generalized	ADJ
fumecheng-6927	11	8	maxwell	maxwell	PROPN
fumecheng-6927	11	9	model	model	NOUN
fumecheng-6927	11	10	,	,	PUNCT
fumecheng-6927	11	11	generalized	generalize	VERB
fumecheng-6927	11	12	kelvin	kelvin	PROPN
fumecheng-6927	11	13	-	-	PUNCT
fumecheng-6927	11	14	voigt	voigt	PROPN
fumecheng-6927	11	15	model	model	NOUN
fumecheng-6927	11	16	,	,	PUNCT
fumecheng-6927	11	17	multiple	multiple	ADJ
fumecheng-6927	11	18	characteristic	characteristic	ADJ
fumecheng-6927	11	19	times	time	NOUN
fumecheng-6927	11	20	,	,	PUNCT
fumecheng-6927	11	21	numerical	numerical	PROPN
fumecheng-6927	11	22	simulation	simulation	PROPN
fumecheng-6927	11	23	,	,	PUNCT
fumecheng-6927	11	24	atomic	atomic	ADJ
fumecheng-6927	11	25	force	force	NOUN
fumecheng-6927	11	26	microscopy	microscopy	NOUN
fumecheng-6927	11	27	received	receive	VERB
fumecheng-6927	11	28	september	september	PROPN
fumecheng-6927	11	29	20	20	NUM
fumecheng-6927	11	30	,	,	PUNCT
fumecheng-6927	11	31	2020	2020	NUM
fumecheng-6927	11	32	/	/	SYM
fumecheng-6927	11	33	accepted	accept	VERB
fumecheng-6927	11	34	december	december	PROPN
fumecheng-6927	11	35	22	22	NUM
fumecheng-6927	11	36	,	,	PUNCT
fumecheng-6927	11	37	2020	2020	NUM
fumecheng-6927	11	38	corresponding	correspond	VERB
fumecheng-6927	11	39	author	author	NOUN
fumecheng-6927	11	40	:	:	PUNCT
fumecheng-6927	11	41	santiago	santiago	PROPN
fumecheng-6927	11	42	d.	d.	PROPN
fumecheng-6927	11	43	solares	solare	VERB
fumecheng-6927	11	44	the	the	DET
fumecheng-6927	11	45	george	george	PROPN
fumecheng-6927	11	46	washington	washington	PROPN
fumecheng-6927	11	47	university	university	PROPN
fumecheng-6927	11	48	,	,	PUNCT
fumecheng-6927	11	49	department	department	NOUN
fumecheng-6927	11	50	of	of	ADP
fumecheng-6927	11	51	mechanical	mechanical	ADJ
fumecheng-6927	11	52	and	and	CCONJ
fumecheng-6927	11	53	aerospace	aerospace	NOUN
fumecheng-6927	11	54	engineering	engineering	NOUN
fumecheng-6927	11	55	,	,	PUNCT
fumecheng-6927	11	56	800	800	NUM
fumecheng-6927	11	57	22nd	22nd	NOUN
fumecheng-6927	11	58	street	street	PROPN
fumecheng-6927	11	59	nw	nw	PROPN
fumecheng-6927	11	60	,	,	PUNCT
fumecheng-6927	11	61	suite	suite	NOUN
fumecheng-6927	11	62	3000	3000	NUM
fumecheng-6927	11	63	washington	washington	PROPN
fumecheng-6927	11	64	,	,	PUNCT
fumecheng-6927	11	65	dc	dc	PROPN
fumecheng-6927	11	66	20052	20052	NUM
fumecheng-6927	11	67	,	,	PUNCT
fumecheng-6927	11	68	usa	usa	PROPN
fumecheng-6927	11	69	e-mail:ssolares@gwu.edu	e-mail:ssolares@gwu.edu	NUM
fumecheng-6927	11	70	mailto:ssolares@gwu.edu	mailto:ssolares@gwu.edu	PROPN
fumecheng-6927	11	71	134	134	NUM
fumecheng-6927	11	72	m.	m.	NOUN
fumecheng-6927	11	73	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	11	74	,	,	PUNCT
fumecheng-6927	11	75	e.	e.	PROPN
fumecheng-6927	11	76	a.	a.	PROPN
fumecheng-6927	11	77	lópez	lópez	PROPN
fumecheng-6927	11	78	-	-	PUNCT
fumecheng-6927	11	79	guerra	guerra	PROPN
fumecheng-6927	11	80	,	,	PUNCT
fumecheng-6927	11	81	s.	s.	PROPN
fumecheng-6927	11	82	d.	d.	PROPN
fumecheng-6927	11	83	solares	solare	VERB
fumecheng-6927	11	84	1	1	PROPN
fumecheng-6927	11	85	.	.	PUNCT
fumecheng-6927	12	1	introduction	introduction	NOUN
fumecheng-6927	12	2	viscoelastic	viscoelastic	ADJ
fumecheng-6927	12	3	materials	material	NOUN
fumecheng-6927	12	4	are	be	AUX
fumecheng-6927	12	5	those	those	PRON
fumecheng-6927	12	6	that	that	PRON
fumecheng-6927	12	7	can	can	AUX
fumecheng-6927	12	8	simultaneously	simultaneously	ADV
fumecheng-6927	12	9	store	store	VERB
fumecheng-6927	12	10	and	and	CCONJ
fumecheng-6927	12	11	dissipate	dissipate	VERB
fumecheng-6927	12	12	energy	energy	NOUN
fumecheng-6927	12	13	when	when	SCONJ
fumecheng-6927	12	14	deformed	deform	VERB
fumecheng-6927	12	15	[	[	PUNCT
fumecheng-6927	12	16	1	1	NUM
fumecheng-6927	12	17	,	,	PUNCT
fumecheng-6927	12	18	2	2	NUM
fumecheng-6927	12	19	]	]	PUNCT
fumecheng-6927	12	20	.	.	PUNCT
fumecheng-6927	13	1	this	this	PRON
fumecheng-6927	13	2	occurs	occur	VERB
fumecheng-6927	13	3	because	because	SCONJ
fumecheng-6927	13	4	they	they	PRON
fumecheng-6927	13	5	have	have	VERB
fumecheng-6927	13	6	structural	structural	ADJ
fumecheng-6927	13	7	mechanisms	mechanism	NOUN
fumecheng-6927	13	8	to	to	PART
fumecheng-6927	13	9	relax	relax	VERB
fumecheng-6927	13	10	some	some	PRON
fumecheng-6927	13	11	of	of	ADP
fumecheng-6927	13	12	the	the	DET
fumecheng-6927	13	13	stresses	stress	NOUN
fumecheng-6927	13	14	that	that	PRON
fumecheng-6927	13	15	build	build	VERB
fumecheng-6927	13	16	up	up	ADP
fumecheng-6927	13	17	when	when	SCONJ
fumecheng-6927	13	18	deformed	deform	VERB
fumecheng-6927	13	19	[	[	PUNCT
fumecheng-6927	13	20	3	3	NUM
fumecheng-6927	13	21	,	,	PUNCT
fumecheng-6927	13	22	4	4	NUM
fumecheng-6927	13	23	]	]	PUNCT
fumecheng-6927	13	24	.	.	PUNCT
fumecheng-6927	14	1	these	these	DET
fumecheng-6927	14	2	relaxations	relaxation	NOUN
fumecheng-6927	14	3	occur	occur	VERB
fumecheng-6927	14	4	at	at	ADP
fumecheng-6927	14	5	different	different	ADJ
fumecheng-6927	14	6	characteristic	characteristic	ADJ
fumecheng-6927	14	7	times	time	NOUN
fumecheng-6927	14	8	which	which	PRON
fumecheng-6927	14	9	are	be	AUX
fumecheng-6927	14	10	often	often	ADV
fumecheng-6927	14	11	referred	refer	VERB
fumecheng-6927	14	12	to	to	ADP
fumecheng-6927	14	13	as	as	ADP
fumecheng-6927	14	14	relaxation	relaxation	NOUN
fumecheng-6927	14	15	times	time	NOUN
fumecheng-6927	14	16	[	[	X
fumecheng-6927	14	17	2	2	NUM
fumecheng-6927	14	18	,	,	PUNCT
fumecheng-6927	14	19	5	5	NUM
fumecheng-6927	14	20	]	]	PUNCT
fumecheng-6927	14	21	.	.	PUNCT
fumecheng-6927	15	1	viscoelastic	viscoelastic	ADJ
fumecheng-6927	15	2	materials	material	NOUN
fumecheng-6927	15	3	are	be	AUX
fumecheng-6927	15	4	very	very	ADV
fumecheng-6927	15	5	common	common	ADJ
fumecheng-6927	15	6	in	in	ADP
fumecheng-6927	15	7	nature	nature	NOUN
fumecheng-6927	15	8	and	and	CCONJ
fumecheng-6927	15	9	diverse	diverse	VERB
fumecheng-6927	15	10	scientific	scientific	ADJ
fumecheng-6927	15	11	fields	field	NOUN
fumecheng-6927	15	12	focus	focus	VERB
fumecheng-6927	15	13	on	on	ADP
fumecheng-6927	15	14	them	they	PRON
fumecheng-6927	15	15	.	.	PUNCT
fumecheng-6927	16	1	for	for	ADP
fumecheng-6927	16	2	example	example	NOUN
fumecheng-6927	16	3	,	,	PUNCT
fumecheng-6927	16	4	biofilms	biofilm	NOUN
fumecheng-6927	16	5	are	be	AUX
fumecheng-6927	16	6	known	know	VERB
fumecheng-6927	16	7	to	to	PART
fumecheng-6927	16	8	be	be	AUX
fumecheng-6927	16	9	viscoelastic	viscoelastic	ADJ
fumecheng-6927	16	10	and	and	CCONJ
fumecheng-6927	16	11	knowledge	knowledge	NOUN
fumecheng-6927	16	12	of	of	ADP
fumecheng-6927	16	13	their	their	PRON
fumecheng-6927	16	14	mechanical	mechanical	ADJ
fumecheng-6927	16	15	properties	property	NOUN
fumecheng-6927	16	16	is	be	AUX
fumecheng-6927	16	17	crucial	crucial	ADJ
fumecheng-6927	16	18	to	to	ADP
fumecheng-6927	16	19	understanding	understand	VERB
fumecheng-6927	16	20	how	how	SCONJ
fumecheng-6927	16	21	they	they	PRON
fumecheng-6927	16	22	disseminate	disseminate	VERB
fumecheng-6927	16	23	and	and	CCONJ
fumecheng-6927	16	24	how	how	SCONJ
fumecheng-6927	16	25	they	they	PRON
fumecheng-6927	16	26	could	could	AUX
fumecheng-6927	16	27	be	be	AUX
fumecheng-6927	16	28	eradicated	eradicate	VERB
fumecheng-6927	16	29	[	[	PUNCT
fumecheng-6927	16	30	6	6	NUM
fumecheng-6927	16	31	-	-	SYM
fumecheng-6927	16	32	9	9	NUM
fumecheng-6927	16	33	]	]	PUNCT
fumecheng-6927	16	34	.	.	PUNCT
fumecheng-6927	17	1	similarly	similarly	ADV
fumecheng-6927	17	2	,	,	PUNCT
fumecheng-6927	17	3	human	human	ADJ
fumecheng-6927	17	4	cells	cell	NOUN
fumecheng-6927	17	5	are	be	AUX
fumecheng-6927	17	6	viscoelastic	viscoelastic	ADJ
fumecheng-6927	17	7	and	and	CCONJ
fumecheng-6927	17	8	knowledge	knowledge	NOUN
fumecheng-6927	17	9	of	of	ADP
fumecheng-6927	17	10	their	their	PRON
fumecheng-6927	17	11	mechanical	mechanical	ADJ
fumecheng-6927	17	12	properties	property	NOUN
fumecheng-6927	17	13	can	can	AUX
fumecheng-6927	17	14	,	,	PUNCT
fumecheng-6927	17	15	for	for	ADP
fumecheng-6927	17	16	example	example	NOUN
fumecheng-6927	17	17	,	,	PUNCT
fumecheng-6927	17	18	help	help	VERB
fumecheng-6927	17	19	to	to	PART
fumecheng-6927	17	20	discriminate	discriminate	VERB
fumecheng-6927	17	21	cancerous	cancerous	ADJ
fumecheng-6927	17	22	cells	cell	NOUN
fumecheng-6927	17	23	from	from	ADP
fumecheng-6927	17	24	healthy	healthy	ADJ
fumecheng-6927	17	25	ones	one	NOUN
fumecheng-6927	17	26	in	in	ADP
fumecheng-6927	17	27	the	the	DET
fumecheng-6927	17	28	early	early	ADJ
fumecheng-6927	17	29	stages	stage	NOUN
fumecheng-6927	17	30	of	of	ADP
fumecheng-6927	17	31	the	the	DET
fumecheng-6927	17	32	disease	disease	NOUN
fumecheng-6927	17	33	[	[	X
fumecheng-6927	17	34	10	10	NUM
fumecheng-6927	17	35	-	-	SYM
fumecheng-6927	17	36	12	12	NUM
fumecheng-6927	17	37	]	]	PUNCT
fumecheng-6927	17	38	.	.	PUNCT
fumecheng-6927	18	1	in	in	ADP
fumecheng-6927	18	2	the	the	DET
fumecheng-6927	18	3	field	field	NOUN
fumecheng-6927	18	4	of	of	ADP
fumecheng-6927	18	5	engineering	engineering	NOUN
fumecheng-6927	18	6	,	,	PUNCT
fumecheng-6927	18	7	polymeric	polymeric	ADJ
fumecheng-6927	18	8	fuel	fuel	NOUN
fumecheng-6927	18	9	cells	cell	NOUN
fumecheng-6927	18	10	and	and	CCONJ
fumecheng-6927	18	11	organic	organic	ADJ
fumecheng-6927	18	12	solar	solar	ADJ
fumecheng-6927	18	13	cells	cell	NOUN
fumecheng-6927	18	14	have	have	VERB
fumecheng-6927	18	15	viscoelastic	viscoelastic	ADJ
fumecheng-6927	18	16	components	component	NOUN
fumecheng-6927	18	17	whose	whose	DET
fumecheng-6927	18	18	mechanical	mechanical	ADJ
fumecheng-6927	18	19	response	response	NOUN
fumecheng-6927	18	20	in	in	ADP
fumecheng-6927	18	21	the	the	DET
fumecheng-6927	18	22	operation	operation	NOUN
fumecheng-6927	18	23	of	of	ADP
fumecheng-6927	18	24	the	the	DET
fumecheng-6927	18	25	devices	device	NOUN
fumecheng-6927	18	26	is	be	AUX
fumecheng-6927	18	27	known	know	VERB
fumecheng-6927	18	28	to	to	PART
fumecheng-6927	18	29	be	be	AUX
fumecheng-6927	18	30	ultimately	ultimately	ADV
fumecheng-6927	18	31	linked	link	VERB
fumecheng-6927	18	32	to	to	ADP
fumecheng-6927	18	33	their	their	PRON
fumecheng-6927	18	34	performance	performance	NOUN
fumecheng-6927	18	35	[	[	X
fumecheng-6927	18	36	13	13	NUM
fumecheng-6927	18	37	-	-	SYM
fumecheng-6927	18	38	15	15	NUM
fumecheng-6927	18	39	]	]	PUNCT
fumecheng-6927	18	40	.	.	PUNCT
fumecheng-6927	19	1	all	all	PRON
fumecheng-6927	19	2	of	of	ADP
fumecheng-6927	19	3	these	these	DET
fumecheng-6927	19	4	applications	application	NOUN
fumecheng-6927	19	5	can	can	AUX
fumecheng-6927	19	6	benefit	benefit	VERB
fumecheng-6927	19	7	from	from	ADP
fumecheng-6927	19	8	accurate	accurate	ADJ
fumecheng-6927	19	9	material	material	NOUN
fumecheng-6927	19	10	modeling	modeling	NOUN
fumecheng-6927	19	11	approaches	approach	NOUN
fumecheng-6927	19	12	to	to	PART
fumecheng-6927	19	13	complement	complement	VERB
fumecheng-6927	19	14	the	the	DET
fumecheng-6927	19	15	experimental	experimental	ADJ
fumecheng-6927	19	16	procedures	procedure	NOUN
fumecheng-6927	19	17	and	and	CCONJ
fumecheng-6927	19	18	thus	thus	ADV
fumecheng-6927	19	19	ensure	ensure	VERB
fumecheng-6927	19	20	reliable	reliable	ADJ
fumecheng-6927	19	21	characterization	characterization	NOUN
fumecheng-6927	19	22	.	.	PUNCT
fumecheng-6927	20	1	unfortunately	unfortunately	ADV
fumecheng-6927	20	2	,	,	PUNCT
fumecheng-6927	20	3	due	due	ADP
fumecheng-6927	20	4	to	to	ADP
fumecheng-6927	20	5	mathematical	mathematical	ADJ
fumecheng-6927	20	6	complexity	complexity	NOUN
fumecheng-6927	20	7	,	,	PUNCT
fumecheng-6927	20	8	the	the	DET
fumecheng-6927	20	9	viscoelastic	viscoelastic	ADJ
fumecheng-6927	20	10	nature	nature	NOUN
fumecheng-6927	20	11	of	of	ADP
fumecheng-6927	20	12	such	such	ADJ
fumecheng-6927	20	13	materials	material	NOUN
fumecheng-6927	20	14	is	be	AUX
fumecheng-6927	20	15	often	often	ADV
fumecheng-6927	20	16	overlooked	overlook	VERB
fumecheng-6927	20	17	or	or	CCONJ
fumecheng-6927	20	18	oversimplified	oversimplify	VERB
fumecheng-6927	20	19	in	in	ADP
fumecheng-6927	20	20	scientific	scientific	ADJ
fumecheng-6927	20	21	studies	study	NOUN
fumecheng-6927	20	22	.	.	PUNCT
fumecheng-6927	21	1	recent	recent	ADJ
fumecheng-6927	21	2	investigations	investigation	NOUN
fumecheng-6927	21	3	[	[	X
fumecheng-6927	21	4	16	16	NUM
fumecheng-6927	21	5	-	-	SYM
fumecheng-6927	21	6	26	26	NUM
fumecheng-6927	21	7	]	]	PUNCT
fumecheng-6927	21	8	have	have	AUX
fumecheng-6927	21	9	explored	explore	VERB
fumecheng-6927	21	10	more	more	ADV
fumecheng-6927	21	11	rigorous	rigorous	ADJ
fumecheng-6927	21	12	approaches	approach	NOUN
fumecheng-6927	21	13	to	to	PART
fumecheng-6927	21	14	take	take	VERB
fumecheng-6927	21	15	into	into	ADP
fumecheng-6927	21	16	consideration	consideration	NOUN
fumecheng-6927	21	17	the	the	DET
fumecheng-6927	21	18	intricacies	intricacy	NOUN
fumecheng-6927	21	19	of	of	ADP
fumecheng-6927	21	20	real	real	ADJ
fumecheng-6927	21	21	viscoelastic	viscoelastic	ADJ
fumecheng-6927	21	22	behaviors	behavior	NOUN
fumecheng-6927	21	23	by	by	ADP
fumecheng-6927	21	24	combining	combine	VERB
fumecheng-6927	21	25	the	the	DET
fumecheng-6927	21	26	classical	classical	ADJ
fumecheng-6927	21	27	theory	theory	NOUN
fumecheng-6927	21	28	of	of	ADP
fumecheng-6927	21	29	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	21	30	[	[	X
fumecheng-6927	21	31	1	1	NUM
fumecheng-6927	21	32	,	,	PUNCT
fumecheng-6927	21	33	2	2	NUM
fumecheng-6927	21	34	,	,	PUNCT
fumecheng-6927	21	35	27	27	NUM
fumecheng-6927	21	36	-	-	SYM
fumecheng-6927	21	37	29	29	NUM
fumecheng-6927	21	38	]	]	PUNCT
fumecheng-6927	21	39	with	with	ADP
fumecheng-6927	21	40	modern	modern	ADJ
fumecheng-6927	21	41	characterization	characterization	NOUN
fumecheng-6927	21	42	techniques	technique	NOUN
fumecheng-6927	21	43	,	,	PUNCT
fumecheng-6927	21	44	such	such	ADJ
fumecheng-6927	21	45	as	as	ADP
fumecheng-6927	21	46	atomic	atomic	ADJ
fumecheng-6927	21	47	force	force	NOUN
fumecheng-6927	21	48	microscopy	microscopy	NOUN
fumecheng-6927	21	49	(	(	PUNCT
fumecheng-6927	21	50	afm	afm	PROPN
fumecheng-6927	21	51	)	)	PUNCT
fumecheng-6927	22	1	[	[	X
fumecheng-6927	22	2	10	10	NUM
fumecheng-6927	22	3	,	,	PUNCT
fumecheng-6927	22	4	30	30	NUM
fumecheng-6927	22	5	-	-	SYM
fumecheng-6927	22	6	39	39	NUM
fumecheng-6927	22	7	]	]	PUNCT
fumecheng-6927	22	8	.	.	PUNCT
fumecheng-6927	23	1	these	these	DET
fumecheng-6927	23	2	efforts	effort	NOUN
fumecheng-6927	23	3	are	be	AUX
fumecheng-6927	23	4	especially	especially	ADV
fumecheng-6927	23	5	important	important	ADJ
fumecheng-6927	23	6	to	to	PART
fumecheng-6927	23	7	close	close	VERB
fumecheng-6927	23	8	the	the	DET
fumecheng-6927	23	9	gap	gap	NOUN
fumecheng-6927	23	10	between	between	ADP
fumecheng-6927	23	11	the	the	DET
fumecheng-6927	23	12	thorough	thorough	ADJ
fumecheng-6927	23	13	and	and	CCONJ
fumecheng-6927	23	14	rigorous	rigorous	ADJ
fumecheng-6927	23	15	mechanical	mechanical	ADJ
fumecheng-6927	23	16	modeling	modeling	NOUN
fumecheng-6927	23	17	approach	approach	NOUN
fumecheng-6927	23	18	of	of	ADP
fumecheng-6927	23	19	early	early	ADJ
fumecheng-6927	23	20	theories	theory	NOUN
fumecheng-6927	23	21	and	and	CCONJ
fumecheng-6927	23	22	the	the	DET
fumecheng-6927	23	23	interests	interest	NOUN
fumecheng-6927	23	24	of	of	ADP
fumecheng-6927	23	25	scientists	scientist	NOUN
fumecheng-6927	23	26	that	that	PRON
fumecheng-6927	23	27	deal	deal	VERB
fumecheng-6927	23	28	with	with	ADP
fumecheng-6927	23	29	modern	modern	ADJ
fumecheng-6927	23	30	techniques	technique	NOUN
fumecheng-6927	23	31	.	.	PUNCT
fumecheng-6927	24	1	despite	despite	SCONJ
fumecheng-6927	24	2	these	these	DET
fumecheng-6927	24	3	efforts	effort	NOUN
fumecheng-6927	24	4	,	,	PUNCT
fumecheng-6927	24	5	we	we	PRON
fumecheng-6927	24	6	believe	believe	VERB
fumecheng-6927	24	7	that	that	SCONJ
fumecheng-6927	24	8	there	there	PRON
fumecheng-6927	24	9	is	be	VERB
fumecheng-6927	24	10	still	still	ADV
fumecheng-6927	24	11	a	a	DET
fumecheng-6927	24	12	long	long	ADJ
fumecheng-6927	24	13	way	way	NOUN
fumecheng-6927	24	14	ahead	ahead	ADV
fumecheng-6927	24	15	to	to	PART
fumecheng-6927	24	16	make	make	VERB
fumecheng-6927	24	17	this	this	DET
fumecheng-6927	24	18	viscoelastic	viscoelastic	NOUN
fumecheng-6927	24	19	modeling	modeling	NOUN
fumecheng-6927	24	20	truly	truly	ADV
fumecheng-6927	24	21	accessible	accessible	ADJ
fumecheng-6927	24	22	to	to	ADP
fumecheng-6927	24	23	a	a	DET
fumecheng-6927	24	24	broader	broad	ADJ
fumecheng-6927	24	25	scientific	scientific	ADJ
fumecheng-6927	24	26	community	community	NOUN
fumecheng-6927	24	27	,	,	PUNCT
fumecheng-6927	24	28	regardless	regardless	ADV
fumecheng-6927	24	29	of	of	ADP
fumecheng-6927	24	30	their	their	PRON
fumecheng-6927	24	31	mathematical	mathematical	ADJ
fumecheng-6927	24	32	background	background	NOUN
fumecheng-6927	24	33	.	.	PUNCT
fumecheng-6927	25	1	therefore	therefore	ADV
fumecheng-6927	25	2	,	,	PUNCT
fumecheng-6927	25	3	in	in	ADP
fumecheng-6927	25	4	this	this	DET
fumecheng-6927	25	5	study	study	NOUN
fumecheng-6927	25	6	we	we	PRON
fumecheng-6927	25	7	focus	focus	VERB
fumecheng-6927	25	8	on	on	ADP
fumecheng-6927	25	9	a	a	DET
fumecheng-6927	25	10	more	more	ADJ
fumecheng-6927	25	11	‘	'	PUNCT
fumecheng-6927	25	12	hands	hand	NOUN
fumecheng-6927	25	13	-	-	PUNCT
fumecheng-6927	25	14	on	on	ADP
fumecheng-6927	25	15	approach	approach	NOUN
fumecheng-6927	25	16	’	'	PUNCT
fumecheng-6927	25	17	where	where	SCONJ
fumecheng-6927	25	18	detailed	detailed	ADJ
fumecheng-6927	25	19	straightforward	straightforward	ADJ
fumecheng-6927	25	20	descriptions	description	NOUN
fumecheng-6927	25	21	to	to	PART
fumecheng-6927	25	22	implement	implement	VERB
fumecheng-6927	25	23	viscoelastic	viscoelastic	ADJ
fumecheng-6927	25	24	modeling	modeling	NOUN
fumecheng-6927	25	25	are	be	AUX
fumecheng-6927	25	26	provided	provide	VERB
fumecheng-6927	25	27	.	.	PUNCT
fumecheng-6927	26	1	the	the	DET
fumecheng-6927	26	2	practical	practical	ADJ
fumecheng-6927	26	3	aspects	aspect	NOUN
fumecheng-6927	26	4	of	of	ADP
fumecheng-6927	26	5	the	the	DET
fumecheng-6927	26	6	modeling	modeling	NOUN
fumecheng-6927	26	7	implementations	implementation	NOUN
fumecheng-6927	26	8	are	be	AUX
fumecheng-6927	26	9	prioritized	prioritize	VERB
fumecheng-6927	26	10	over	over	ADP
fumecheng-6927	26	11	mathematical	mathematical	ADJ
fumecheng-6927	26	12	rigor	rigor	NOUN
fumecheng-6927	26	13	,	,	PUNCT
fumecheng-6927	26	14	such	such	ADJ
fumecheng-6927	26	15	that	that	SCONJ
fumecheng-6927	26	16	only	only	ADV
fumecheng-6927	26	17	a	a	DET
fumecheng-6927	26	18	very	very	ADV
fumecheng-6927	26	19	basic	basic	ADJ
fumecheng-6927	26	20	knowledge	knowledge	NOUN
fumecheng-6927	26	21	of	of	ADP
fumecheng-6927	26	22	ordinary	ordinary	ADJ
fumecheng-6927	26	23	differential	differential	ADJ
fumecheng-6927	26	24	equations	equation	NOUN
fumecheng-6927	26	25	is	be	AUX
fumecheng-6927	26	26	required	require	VERB
fumecheng-6927	26	27	to	to	PART
fumecheng-6927	26	28	follow	follow	VERB
fumecheng-6927	26	29	our	our	PRON
fumecheng-6927	26	30	presentation	presentation	NOUN
fumecheng-6927	26	31	.	.	PUNCT
fumecheng-6927	27	1	the	the	DET
fumecheng-6927	27	2	reader	reader	NOUN
fumecheng-6927	27	3	will	will	AUX
fumecheng-6927	27	4	be	be	AUX
fumecheng-6927	27	5	walked	walk	VERB
fumecheng-6927	27	6	through	through	ADP
fumecheng-6927	27	7	the	the	DET
fumecheng-6927	27	8	algorithms	algorithm	NOUN
fumecheng-6927	27	9	of	of	ADP
fumecheng-6927	27	10	how	how	SCONJ
fumecheng-6927	27	11	to	to	PART
fumecheng-6927	27	12	solve	solve	VERB
fumecheng-6927	27	13	numerically	numerically	ADV
fumecheng-6927	27	14	the	the	DET
fumecheng-6927	27	15	constitutive	constitutive	ADJ
fumecheng-6927	27	16	equations	equation	NOUN
fumecheng-6927	27	17	that	that	PRON
fumecheng-6927	27	18	govern	govern	VERB
fumecheng-6927	27	19	the	the	DET
fumecheng-6927	27	20	deformation	deformation	NOUN
fumecheng-6927	27	21	of	of	ADP
fumecheng-6927	27	22	viscoelastic	viscoelastic	ADJ
fumecheng-6927	27	23	materials	material	NOUN
fumecheng-6927	27	24	,	,	PUNCT
fumecheng-6927	27	25	for	for	ADP
fumecheng-6927	27	26	the	the	DET
fumecheng-6927	27	27	case	case	NOUN
fumecheng-6927	27	28	of	of	ADP
fumecheng-6927	27	29	an	an	DET
fumecheng-6927	27	30	indenter	indenter	NOUN
fumecheng-6927	27	31	probe	probe	NOUN
fumecheng-6927	27	32	that	that	PRON
fumecheng-6927	27	33	deforms	deform	VERB
fumecheng-6927	27	34	a	a	DET
fumecheng-6927	27	35	viscoelastic	viscoelastic	ADJ
fumecheng-6927	27	36	material	material	NOUN
fumecheng-6927	27	37	with	with	ADP
fumecheng-6927	27	38	multiple	multiple	ADJ
fumecheng-6927	27	39	characteristic	characteristic	ADJ
fumecheng-6927	27	40	times	time	NOUN
fumecheng-6927	27	41	.	.	PUNCT
fumecheng-6927	28	1	this	this	PRON
fumecheng-6927	28	2	is	be	AUX
fumecheng-6927	28	3	of	of	ADP
fumecheng-6927	28	4	special	special	ADJ
fumecheng-6927	28	5	interest	interest	NOUN
fumecheng-6927	28	6	for	for	ADP
fumecheng-6927	28	7	afm	afm	PROPN
fumecheng-6927	28	8	and	and	CCONJ
fumecheng-6927	28	9	for	for	ADP
fumecheng-6927	28	10	nanoand	nanoand	PROPN
fumecheng-6927	28	11	micro	micro	PROPN
fumecheng-6927	28	12	-	-	NOUN
fumecheng-6927	28	13	indentation	indentation	NOUN
fumecheng-6927	28	14	techniques	technique	NOUN
fumecheng-6927	28	15	,	,	PUNCT
fumecheng-6927	28	16	although	although	SCONJ
fumecheng-6927	28	17	with	with	ADP
fumecheng-6927	28	18	few	few	ADJ
fumecheng-6927	28	19	adaptations	adaptation	NOUN
fumecheng-6927	28	20	the	the	DET
fumecheng-6927	28	21	routines	routine	NOUN
fumecheng-6927	28	22	can	can	AUX
fumecheng-6927	28	23	also	also	ADV
fumecheng-6927	28	24	be	be	AUX
fumecheng-6927	28	25	used	use	VERB
fumecheng-6927	28	26	for	for	ADP
fumecheng-6927	28	27	other	other	ADJ
fumecheng-6927	28	28	types	type	NOUN
fumecheng-6927	28	29	of	of	ADP
fumecheng-6927	28	30	characterization	characterization	NOUN
fumecheng-6927	28	31	techniques	technique	NOUN
fumecheng-6927	28	32	.	.	PUNCT
fumecheng-6927	29	1	for	for	ADP
fumecheng-6927	29	2	the	the	DET
fumecheng-6927	29	3	convenience	convenience	NOUN
fumecheng-6927	29	4	of	of	ADP
fumecheng-6927	29	5	the	the	DET
fumecheng-6927	29	6	reader	reader	NOUN
fumecheng-6927	29	7	,	,	PUNCT
fumecheng-6927	29	8	the	the	DET
fumecheng-6927	29	9	algorithm	algorithm	NOUN
fumecheng-6927	29	10	descriptions	description	NOUN
fumecheng-6927	29	11	are	be	AUX
fumecheng-6927	29	12	accompanied	accompany	VERB
fumecheng-6927	29	13	by	by	ADP
fumecheng-6927	29	14	an	an	DET
fumecheng-6927	29	15	excel	excel	NOUN
fumecheng-6927	29	16	spreadsheet	spreadsheet	NOUN
fumecheng-6927	29	17	available	available	ADJ
fumecheng-6927	29	18	online	online	ADV
fumecheng-6927	29	19	that	that	PRON
fumecheng-6927	29	20	contains	contain	VERB
fumecheng-6927	29	21	examples	example	NOUN
fumecheng-6927	29	22	with	with	ADP
fumecheng-6927	29	23	the	the	DET
fumecheng-6927	29	24	numerical	numerical	ADJ
fumecheng-6927	29	25	calculation	calculation	NOUN
fumecheng-6927	29	26	methods	method	NOUN
fumecheng-6927	29	27	[	[	X
fumecheng-6927	29	28	40	40	NUM
fumecheng-6927	29	29	]	]	PUNCT
fumecheng-6927	29	30	.	.	PUNCT
fumecheng-6927	30	1	further	far	ADV
fumecheng-6927	30	2	,	,	PUNCT
fumecheng-6927	30	3	users	user	NOUN
fumecheng-6927	30	4	with	with	ADP
fumecheng-6927	30	5	some	some	DET
fumecheng-6927	30	6	background	background	NOUN
fumecheng-6927	30	7	in	in	ADP
fumecheng-6927	30	8	programming	programming	NOUN
fumecheng-6927	30	9	will	will	AUX
fumecheng-6927	30	10	benefit	benefit	VERB
fumecheng-6927	30	11	from	from	ADP
fumecheng-6927	30	12	the	the	DET
fumecheng-6927	30	13	numerical	numerical	ADJ
fumecheng-6927	30	14	implementations	implementation	NOUN
fumecheng-6927	30	15	given	give	VERB
fumecheng-6927	30	16	in	in	ADP
fumecheng-6927	30	17	python	python	PROPN
fumecheng-6927	30	18	code	code	NOUN
fumecheng-6927	30	19	in	in	ADP
fumecheng-6927	30	20	an	an	DET
fumecheng-6927	30	21	open	open	ADJ
fumecheng-6927	30	22	-	-	PUNCT
fumecheng-6927	30	23	access	access	NOUN
fumecheng-6927	30	24	repository	repository	NOUN
fumecheng-6927	30	25	[	[	X
fumecheng-6927	30	26	40	40	NUM
fumecheng-6927	30	27	]	]	PUNCT
fumecheng-6927	30	28	.	.	PUNCT
fumecheng-6927	31	1	the	the	DET
fumecheng-6927	31	2	repository	repository	NOUN
fumecheng-6927	31	3	provided	provide	VERB
fumecheng-6927	31	4	alongside	alongside	ADP
fumecheng-6927	31	5	this	this	DET
fumecheng-6927	31	6	paper	paper	NOUN
fumecheng-6927	31	7	contains	contain	VERB
fumecheng-6927	31	8	two	two	NUM
fumecheng-6927	31	9	libraries	library	NOUN
fumecheng-6927	31	10	,	,	PUNCT
fumecheng-6927	31	11	afmsim	afmsim	ADJ
fumecheng-6927	31	12	and	and	CCONJ
fumecheng-6927	31	13	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	31	14	,	,	PUNCT
fumecheng-6927	31	15	as	as	ADV
fumecheng-6927	31	16	well	well	ADV
fumecheng-6927	31	17	was	be	AUX
fumecheng-6927	31	18	implementations	implementation	NOUN
fumecheng-6927	31	19	and	and	CCONJ
fumecheng-6927	31	20	examples	example	NOUN
fumecheng-6927	31	21	of	of	ADP
fumecheng-6927	31	22	the	the	DET
fumecheng-6927	31	23	functions	function	NOUN
fumecheng-6927	31	24	available	available	ADJ
fumecheng-6927	31	25	in	in	ADP
fumecheng-6927	31	26	these	these	DET
fumecheng-6927	31	27	libraries	library	NOUN
fumecheng-6927	31	28	.	.	PUNCT
fumecheng-6927	32	1	the	the	DET
fumecheng-6927	32	2	contact	contact	NOUN
fumecheng-6927	32	3	-	-	PUNCT
fumecheng-6927	32	4	mode	mode	NOUN
fumecheng-6927	32	5	implementation	implementation	NOUN
fumecheng-6927	32	6	of	of	ADP
fumecheng-6927	32	7	afm	afm	PROPN
fumecheng-6927	32	8	will	will	AUX
fumecheng-6927	32	9	be	be	AUX
fumecheng-6927	32	10	discussed	discuss	VERB
fumecheng-6927	32	11	in	in	ADP
fumecheng-6927	32	12	section	section	NOUN
fumecheng-6927	32	13	3	3	NUM
fumecheng-6927	32	14	.	.	PUNCT
fumecheng-6927	33	1	guidelines	guideline	NOUN
fumecheng-6927	33	2	to	to	PART
fumecheng-6927	33	3	simulate	simulate	VERB
fumecheng-6927	33	4	linear	linear	ADJ
fumecheng-6927	33	5	viscoelastic	viscoelastic	NOUN
fumecheng-6927	33	6	materials	material	NOUN
fumecheng-6927	33	7	with	with	ADP
fumecheng-6927	33	8	an	an	DET
fumecheng-6927	33	9	arbitrary	arbitrary	ADJ
fumecheng-6927	33	10	number	number	NOUN
fumecheng-6927	33	11	of	of	ADP
fumecheng-6927	33	12	characteristic	characteristic	ADJ
fumecheng-6927	33	13	times	time	NOUN
fumecheng-6927	33	14	...	...	PUNCT
fumecheng-6927	33	15	135	135	NUM
fumecheng-6927	33	16	2	2	NUM
fumecheng-6927	33	17	.	.	PUNCT
fumecheng-6927	33	18	guidelines	guideline	NOUN
fumecheng-6927	33	19	for	for	ADP
fumecheng-6927	33	20	the	the	DET
fumecheng-6927	33	21	simulation	simulation	NOUN
fumecheng-6927	33	22	of	of	ADP
fumecheng-6927	33	23	linear	linear	PROPN
fumecheng-6927	33	24	viscoelastic	viscoelastic	ADJ
fumecheng-6927	33	25	behavior	behavior	NOUN
fumecheng-6927	33	26	2.1	2.1	NUM
fumecheng-6927	33	27	.	.	PUNCT
fumecheng-6927	34	1	model	model	NOUN
fumecheng-6927	34	2	selection	selection	NOUN
fumecheng-6927	34	3	:	:	PUNCT
fumecheng-6927	34	4	generalized	generalized	ADJ
fumecheng-6927	34	5	maxwell	maxwell	PROPN
fumecheng-6927	34	6	model	model	PROPN
fumecheng-6927	34	7	&	&	CCONJ
fumecheng-6927	34	8	generalized	generalized	PROPN
fumecheng-6927	34	9	kelvin	kelvin	PROPN
fumecheng-6927	34	10	-	-	PUNCT
fumecheng-6927	34	11	voigt	voigt	PROPN
fumecheng-6927	34	12	model	model	NOUN
fumecheng-6927	34	13	in	in	ADP
fumecheng-6927	34	14	this	this	DET
fumecheng-6927	34	15	practical	practical	ADJ
fumecheng-6927	34	16	guide	guide	NOUN
fumecheng-6927	34	17	,	,	PUNCT
fumecheng-6927	34	18	generalized	generalized	ADJ
fumecheng-6927	34	19	models	model	NOUN
fumecheng-6927	34	20	are	be	AUX
fumecheng-6927	34	21	used	use	VERB
fumecheng-6927	34	22	to	to	PART
fumecheng-6927	34	23	simulate	simulate	VERB
fumecheng-6927	34	24	the	the	DET
fumecheng-6927	34	25	response	response	NOUN
fumecheng-6927	34	26	of	of	ADP
fumecheng-6927	34	27	real	real	ADJ
fumecheng-6927	34	28	viscoelastic	viscoelastic	ADJ
fumecheng-6927	34	29	materials	material	NOUN
fumecheng-6927	34	30	.	.	PUNCT
fumecheng-6927	35	1	this	this	PRON
fumecheng-6927	35	2	provides	provide	VERB
fumecheng-6927	35	3	the	the	DET
fumecheng-6927	35	4	necessary	necessary	ADJ
fumecheng-6927	35	5	flexibility	flexibility	NOUN
fumecheng-6927	35	6	as	as	ADP
fumecheng-6927	35	7	real	real	ADJ
fumecheng-6927	35	8	viscoelastic	viscoelastic	ADJ
fumecheng-6927	35	9	materials	material	NOUN
fumecheng-6927	35	10	have	have	VERB
fumecheng-6927	35	11	multiple	multiple	ADJ
fumecheng-6927	35	12	characteristic	characteristic	ADJ
fumecheng-6927	35	13	times	time	NOUN
fumecheng-6927	35	14	at	at	ADP
fumecheng-6927	35	15	which	which	PRON
fumecheng-6927	35	16	they	they	PRON
fumecheng-6927	35	17	accommodate	accommodate	VERB
fumecheng-6927	35	18	and	and	CCONJ
fumecheng-6927	35	19	relax	relax	VERB
fumecheng-6927	35	20	stresses	stress	NOUN
fumecheng-6927	35	21	when	when	SCONJ
fumecheng-6927	35	22	deformed	deform	VERB
fumecheng-6927	35	23	.	.	PUNCT
fumecheng-6927	36	1	specifically	specifically	ADV
fumecheng-6927	36	2	,	,	PUNCT
fumecheng-6927	36	3	this	this	DET
fumecheng-6927	36	4	document	document	NOUN
fumecheng-6927	36	5	will	will	AUX
fumecheng-6927	36	6	be	be	AUX
fumecheng-6927	36	7	referring	refer	VERB
fumecheng-6927	36	8	to	to	ADP
fumecheng-6927	36	9	the	the	DET
fumecheng-6927	36	10	generalized	generalized	ADJ
fumecheng-6927	36	11	maxwell	maxwell	PROPN
fumecheng-6927	36	12	model	model	NOUN
fumecheng-6927	36	13	and	and	CCONJ
fumecheng-6927	36	14	the	the	DET
fumecheng-6927	36	15	generalized	generalize	VERB
fumecheng-6927	36	16	kelvin	kelvin	PROPN
fumecheng-6927	36	17	-	-	PUNCT
fumecheng-6927	36	18	voigt	voigt	PROPN
fumecheng-6927	36	19	model	model	NOUN
fumecheng-6927	36	20	which	which	PRON
fumecheng-6927	36	21	are	be	AUX
fumecheng-6927	36	22	shown	show	VERB
fumecheng-6927	36	23	in	in	ADP
fumecheng-6927	36	24	fig	fig	NOUN
fumecheng-6927	36	25	.	.	PUNCT
fumecheng-6927	37	1	1	1	X
fumecheng-6927	37	2	.	.	X
fumecheng-6927	38	1	these	these	DET
fumecheng-6927	38	2	two	two	NUM
fumecheng-6927	38	3	models	model	NOUN
fumecheng-6927	38	4	are	be	AUX
fumecheng-6927	38	5	mechanical	mechanical	ADJ
fumecheng-6927	38	6	analogs	analog	NOUN
fumecheng-6927	38	7	[	[	X
fumecheng-6927	38	8	2	2	NUM
fumecheng-6927	38	9	]	]	PUNCT
fumecheng-6927	38	10	which	which	PRON
fumecheng-6927	38	11	means	mean	VERB
fumecheng-6927	38	12	that	that	SCONJ
fumecheng-6927	38	13	they	they	PRON
fumecheng-6927	38	14	have	have	VERB
fumecheng-6927	38	15	the	the	DET
fumecheng-6927	38	16	same	same	ADJ
fumecheng-6927	38	17	mechanical	mechanical	ADJ
fumecheng-6927	38	18	response	response	NOUN
fumecheng-6927	38	19	when	when	SCONJ
fumecheng-6927	38	20	the	the	DET
fumecheng-6927	38	21	appropriate	appropriate	ADJ
fumecheng-6927	38	22	equivalent	equivalent	ADJ
fumecheng-6927	38	23	parameters	parameter	NOUN
fumecheng-6927	38	24	are	be	AUX
fumecheng-6927	38	25	chosen	choose	VERB
fumecheng-6927	38	26	.	.	PUNCT
fumecheng-6927	39	1	the	the	DET
fumecheng-6927	39	2	selection	selection	NOUN
fumecheng-6927	39	3	of	of	ADP
fumecheng-6927	39	4	one	one	NUM
fumecheng-6927	39	5	over	over	ADP
fumecheng-6927	39	6	the	the	DET
fumecheng-6927	39	7	other	other	ADJ
fumecheng-6927	39	8	obeys	obey	NOUN
fumecheng-6927	39	9	pure	pure	ADJ
fumecheng-6927	39	10	algebraic	algebraic	ADJ
fumecheng-6927	39	11	convenience	convenience	NOUN
fumecheng-6927	39	12	,	,	PUNCT
fumecheng-6927	39	13	depending	depend	VERB
fumecheng-6927	39	14	on	on	ADP
fumecheng-6927	39	15	whether	whether	SCONJ
fumecheng-6927	39	16	force	force	NOUN
fumecheng-6927	39	17	/	/	SYM
fumecheng-6927	39	18	stress	stress	NOUN
fumecheng-6927	39	19	or	or	CCONJ
fumecheng-6927	39	20	deformation	deformation	NOUN
fumecheng-6927	39	21	/	/	SYM
fumecheng-6927	39	22	strain	strain	NOUN
fumecheng-6927	39	23	is	be	AUX
fumecheng-6927	39	24	regarded	regard	VERB
fumecheng-6927	39	25	as	as	ADP
fumecheng-6927	39	26	the	the	DET
fumecheng-6927	39	27	input	input	NOUN
fumecheng-6927	39	28	.	.	PUNCT
fumecheng-6927	40	1	for	for	ADP
fumecheng-6927	40	2	example	example	NOUN
fumecheng-6927	40	3	,	,	PUNCT
fumecheng-6927	40	4	if	if	SCONJ
fumecheng-6927	40	5	the	the	DET
fumecheng-6927	40	6	user	user	NOUN
fumecheng-6927	40	7	wishes	wish	VERB
fumecheng-6927	40	8	to	to	PART
fumecheng-6927	40	9	perform	perform	VERB
fumecheng-6927	40	10	a	a	DET
fumecheng-6927	40	11	simulation	simulation	NOUN
fumecheng-6927	40	12	where	where	SCONJ
fumecheng-6927	40	13	the	the	DET
fumecheng-6927	40	14	deformation	deformation	NOUN
fumecheng-6927	40	15	/	/	SYM
fumecheng-6927	40	16	strain	strain	NOUN
fumecheng-6927	40	17	history	history	NOUN
fumecheng-6927	40	18	is	be	AUX
fumecheng-6927	40	19	given	give	VERB
fumecheng-6927	40	20	or	or	CCONJ
fumecheng-6927	40	21	calculated	calculate	VERB
fumecheng-6927	40	22	‘	'	PUNCT
fumecheng-6927	40	23	a	a	PRON
fumecheng-6927	40	24	priori	priori	X
fumecheng-6927	40	25	,	,	PUNCT
fumecheng-6927	40	26	’	'	PUNCT
fumecheng-6927	40	27	then	then	ADV
fumecheng-6927	40	28	the	the	DET
fumecheng-6927	40	29	generalized	generalized	ADJ
fumecheng-6927	40	30	maxwell	maxwell	PROPN
fumecheng-6927	40	31	model	model	NOUN
fumecheng-6927	40	32	is	be	AUX
fumecheng-6927	40	33	the	the	DET
fumecheng-6927	40	34	most	most	ADV
fumecheng-6927	40	35	convenient	convenient	ADJ
fumecheng-6927	40	36	.	.	PUNCT
fumecheng-6927	41	1	on	on	ADP
fumecheng-6927	41	2	the	the	DET
fumecheng-6927	41	3	other	other	ADJ
fumecheng-6927	41	4	hand	hand	NOUN
fumecheng-6927	41	5	,	,	PUNCT
fumecheng-6927	41	6	if	if	SCONJ
fumecheng-6927	41	7	the	the	DET
fumecheng-6927	41	8	force	force	NOUN
fumecheng-6927	41	9	/	/	SYM
fumecheng-6927	41	10	stress	stress	NOUN
fumecheng-6927	41	11	history	history	NOUN
fumecheng-6927	41	12	is	be	AUX
fumecheng-6927	41	13	known	know	VERB
fumecheng-6927	41	14	or	or	CCONJ
fumecheng-6927	41	15	given	give	VERB
fumecheng-6927	41	16	,	,	PUNCT
fumecheng-6927	41	17	then	then	ADV
fumecheng-6927	41	18	the	the	DET
fumecheng-6927	41	19	generalized	generalized	ADJ
fumecheng-6927	41	20	voigt	voigt	PROPN
fumecheng-6927	41	21	model	model	NOUN
fumecheng-6927	41	22	is	be	AUX
fumecheng-6927	41	23	the	the	DET
fumecheng-6927	41	24	most	most	ADV
fumecheng-6927	41	25	convenient	convenient	ADJ
fumecheng-6927	41	26	.	.	PUNCT
fumecheng-6927	42	1	fig	fig	NOUN
fumecheng-6927	42	2	.	.	PUNCT
fumecheng-6927	43	1	1	1	NUM
fumecheng-6927	43	2	a	a	X
fumecheng-6927	43	3	)	)	PUNCT
fumecheng-6927	43	4	generalized	generalized	ADJ
fumecheng-6927	43	5	maxwell	maxwell	PROPN
fumecheng-6927	43	6	model	model	NOUN
fumecheng-6927	43	7	and	and	CCONJ
fumecheng-6927	43	8	b	b	X
fumecheng-6927	43	9	)	)	PUNCT
fumecheng-6927	43	10	generalized	generalize	VERB
fumecheng-6927	43	11	kelvin	kelvin	PROPN
fumecheng-6927	43	12	-	-	PUNCT
fumecheng-6927	43	13	voigt	voigt	PROPN
fumecheng-6927	43	14	model	model	NOUN
fumecheng-6927	43	15	;	;	PUNCT
fumecheng-6927	43	16	mechanical	mechanical	ADJ
fumecheng-6927	43	17	model	model	NOUN
fumecheng-6927	43	18	diagrams	diagram	NOUN
fumecheng-6927	43	19	representing	represent	VERB
fumecheng-6927	43	20	the	the	DET
fumecheng-6927	43	21	linear	linear	ADJ
fumecheng-6927	43	22	viscoelastic	viscoelastic	NOUN
fumecheng-6927	43	23	relationship	relationship	NOUN
fumecheng-6927	43	24	between	between	ADP
fumecheng-6927	43	25	stress	stress	NOUN
fumecheng-6927	43	26	and	and	CCONJ
fumecheng-6927	43	27	strain	strain	NOUN
fumecheng-6927	43	28	in	in	ADP
fumecheng-6927	43	29	the	the	DET
fumecheng-6927	43	30	complex	complex	ADJ
fumecheng-6927	43	31	plane	plane	NOUN
fumecheng-6927	43	32	with	with	ADP
fumecheng-6927	43	33	multiple	multiple	ADJ
fumecheng-6927	43	34	(	(	PUNCT
fumecheng-6927	43	35	n	n	CCONJ
fumecheng-6927	43	36	)	)	PUNCT
fumecheng-6927	43	37	characteristic	characteristic	ADJ
fumecheng-6927	43	38	times	time	NOUN
fumecheng-6927	43	39	when	when	SCONJ
fumecheng-6927	43	40	strain	strain	NOUN
fumecheng-6927	43	41	or	or	CCONJ
fumecheng-6927	43	42	stress	stress	NOUN
fumecheng-6927	43	43	is	be	AUX
fumecheng-6927	43	44	regarded	regard	VERB
fumecheng-6927	43	45	as	as	ADP
fumecheng-6927	43	46	the	the	DET
fumecheng-6927	43	47	excitation	excitation	NOUN
fumecheng-6927	43	48	,	,	PUNCT
fumecheng-6927	43	49	respectively	respectively	ADV
fumecheng-6927	43	50	.	.	PUNCT
fumecheng-6927	44	1	in	in	ADP
fumecheng-6927	44	2	a	a	PRON
fumecheng-6927	44	3	)	)	PUNCT
fumecheng-6927	44	4	the	the	DET
fumecheng-6927	44	5	laplace	laplace	NOUN
fumecheng-6927	44	6	transformed	transform	VERB
fumecheng-6927	44	7	strain	strain	NOUN
fumecheng-6927	44	8	,	,	PUNCT
fumecheng-6927	44	9	(s	(s	PROPN
fumecheng-6927	44	10	)	)	PUNCT
fumecheng-6927	44	11	,	,	PUNCT
fumecheng-6927	44	12	is	be	AUX
fumecheng-6927	44	13	regarded	regard	VERB
fumecheng-6927	44	14	as	as	ADP
fumecheng-6927	44	15	the	the	DET
fumecheng-6927	44	16	excitation	excitation	NOUN
fumecheng-6927	44	17	and	and	CCONJ
fumecheng-6927	44	18	the	the	DET
fumecheng-6927	44	19	laplace	laplace	NOUN
fumecheng-6927	44	20	transformed	transform	VERB
fumecheng-6927	44	21	stress	stress	NOUN
fumecheng-6927	44	22	,	,	PUNCT
fumecheng-6927	44	23	(s	(s	PROPN
fumecheng-6927	44	24	)	)	PUNCT
fumecheng-6927	44	25	,	,	PUNCT
fumecheng-6927	44	26	as	as	SCONJ
fumecheng-6927	44	27	the	the	DET
fumecheng-6927	44	28	response	response	NOUN
fumecheng-6927	44	29	;	;	PUNCT
fumecheng-6927	44	30	in	in	SCONJ
fumecheng-6927	44	31	(	(	PUNCT
fumecheng-6927	44	32	b	b	X
fumecheng-6927	44	33	)	)	PUNCT
fumecheng-6927	44	34	the	the	DET
fumecheng-6927	44	35	opposite	opposite	ADJ
fumecheng-6927	44	36	occurs	occur	VERB
fumecheng-6927	44	37	.	.	PUNCT
fumecheng-6927	45	1	jn	jn	PROPN
fumecheng-6927	45	2	and	and	CCONJ
fumecheng-6927	45	3	gn	gn	PROPN
fumecheng-6927	45	4	refer	refer	VERB
fumecheng-6927	45	5	to	to	ADP
fumecheng-6927	45	6	the	the	DET
fumecheng-6927	45	7	compliance	compliance	NOUN
fumecheng-6927	45	8	and	and	CCONJ
fumecheng-6927	45	9	modulus	modulus	NOUN
fumecheng-6927	45	10	of	of	ADP
fumecheng-6927	45	11	the	the	DET
fumecheng-6927	45	12	nth	nth	NOUN
fumecheng-6927	45	13	spring	spring	NOUN
fumecheng-6927	45	14	,	,	PUNCT
fumecheng-6927	45	15	respectively	respectively	ADV
fumecheng-6927	45	16	.	.	PUNCT
fumecheng-6927	46	1	jg	jg	PROPN
fumecheng-6927	46	2	and	and	CCONJ
fumecheng-6927	46	3	ge	ge	PROPN
fumecheng-6927	46	4	refer	refer	VERB
fumecheng-6927	46	5	to	to	ADP
fumecheng-6927	46	6	the	the	DET
fumecheng-6927	46	7	glassy	glassy	NOUN
fumecheng-6927	46	8	compliance	compliance	NOUN
fumecheng-6927	46	9	and	and	CCONJ
fumecheng-6927	46	10	rubbery	rubbery	ADJ
fumecheng-6927	46	11	modulus	modulus	NOUN
fumecheng-6927	46	12	,	,	PUNCT
fumecheng-6927	46	13	respectively	respectively	ADV
fumecheng-6927	46	14	.	.	PUNCT
fumecheng-6927	46	15	n	n	NUM
fumecheng-6927	46	16	and	and	CCONJ
fumecheng-6927	46	17	n	n	NOUN
fumecheng-6927	46	18	refer	refer	NOUN
fumecheng-6927	46	19	to	to	ADP
fumecheng-6927	46	20	the	the	DET
fumecheng-6927	46	21	fluidity	fluidity	NOUN
fumecheng-6927	46	22	and	and	CCONJ
fumecheng-6927	46	23	viscosity	viscosity	NOUN
fumecheng-6927	46	24	of	of	ADP
fumecheng-6927	46	25	the	the	DET
fumecheng-6927	46	26	nth	nth	NOUN
fumecheng-6927	46	27	dashpot	dashpot	NOUN
fumecheng-6927	46	28	(	(	PUNCT
fumecheng-6927	46	29	damper	damper	NOUN
fumecheng-6927	46	30	)	)	PUNCT
fumecheng-6927	46	31	,	,	PUNCT
fumecheng-6927	46	32	respectively	respectively	ADV
fumecheng-6927	46	33	.	.	PUNCT
fumecheng-6927	47	1	regardless	regardless	ADV
fumecheng-6927	47	2	of	of	ADP
fumecheng-6927	47	3	the	the	DET
fumecheng-6927	47	4	chosen	choose	VERB
fumecheng-6927	47	5	model	model	NOUN
fumecheng-6927	47	6	,	,	PUNCT
fumecheng-6927	47	7	one	one	PRON
fumecheng-6927	47	8	must	must	AUX
fumecheng-6927	47	9	be	be	AUX
fumecheng-6927	47	10	aware	aware	ADJ
fumecheng-6927	47	11	that	that	SCONJ
fumecheng-6927	47	12	the	the	DET
fumecheng-6927	47	13	model	model	NOUN
fumecheng-6927	47	14	is	be	AUX
fumecheng-6927	47	15	only	only	ADV
fumecheng-6927	47	16	a	a	DET
fumecheng-6927	47	17	visual	visual	ADJ
fumecheng-6927	47	18	representation	representation	NOUN
fumecheng-6927	47	19	of	of	ADP
fumecheng-6927	47	20	the	the	DET
fumecheng-6927	47	21	material	material	NOUN
fumecheng-6927	47	22	behavior	behavior	NOUN
fumecheng-6927	47	23	described	describe	VERB
fumecheng-6927	47	24	by	by	ADP
fumecheng-6927	47	25	ordinary	ordinary	ADJ
fumecheng-6927	47	26	differential	differential	ADJ
fumecheng-6927	47	27	equations	equation	NOUN
fumecheng-6927	47	28	relating	relate	VERB
fumecheng-6927	47	29	the	the	DET
fumecheng-6927	47	30	stress	stress	NOUN
fumecheng-6927	47	31	and	and	CCONJ
fumecheng-6927	47	32	strain	strain	NOUN
fumecheng-6927	47	33	.	.	PUNCT
fumecheng-6927	48	1	these	these	PRON
fumecheng-6927	48	2	are	be	AUX
fumecheng-6927	48	3	the	the	DET
fumecheng-6927	48	4	governing	govern	VERB
fumecheng-6927	48	5	equations	equation	NOUN
fumecheng-6927	48	6	that	that	PRON
fumecheng-6927	48	7	describe	describe	VERB
fumecheng-6927	48	8	the	the	DET
fumecheng-6927	48	9	linear	linear	ADJ
fumecheng-6927	48	10	viscoelastic	viscoelastic	ADJ
fumecheng-6927	48	11	behavior	behavior	NOUN
fumecheng-6927	48	12	,	,	PUNCT
fumecheng-6927	48	13	and	and	CCONJ
fumecheng-6927	48	14	their	their	PRON
fumecheng-6927	48	15	most	most	ADV
fumecheng-6927	48	16	general	general	ADJ
fumecheng-6927	48	17	form	form	NOUN
fumecheng-6927	48	18	is	be	AUX
fumecheng-6927	48	19	as	as	SCONJ
fumecheng-6927	48	20	follows	follow	VERB
fumecheng-6927	48	21	[	[	X
fumecheng-6927	48	22	20	20	NUM
fumecheng-6927	48	23	]	]	NUM
fumecheng-6927	48	24	:	:	PUNCT
fumecheng-6927	48	25	∑	∑	PROPN
fumecheng-6927	48	26	𝑢𝑛	𝑢𝑛	PROPN
fumecheng-6927	48	27	𝑑𝑛𝜎(𝑡	𝑑𝑛𝜎(𝑡	PROPN
fumecheng-6927	48	28	)	)	PUNCT
fumecheng-6927	48	29	𝑑𝑡𝑛	𝑑𝑡𝑛	NOUN
fumecheng-6927	48	30	∞	∞	NUM
fumecheng-6927	48	31	𝑛=0	𝑛=0	PROPN
fumecheng-6927	48	32	=	=	PUNCT
fumecheng-6927	48	33	∑	∑	PUNCT
fumecheng-6927	48	34	𝑞𝑚	𝑞𝑚	NOUN
fumecheng-6927	48	35	𝑑𝑚𝜀(𝑡	𝑑𝑚𝜀(𝑡	NOUN
fumecheng-6927	48	36	)	)	PUNCT
fumecheng-6927	48	37	𝑑𝑡𝑚	𝑑𝑡𝑚	ADV
fumecheng-6927	48	38	∞	∞	NUM
fumecheng-6927	48	39	𝑛=0	𝑛=0	PROPN
fumecheng-6927	48	40	(	(	PUNCT
fumecheng-6927	48	41	1	1	NUM
fumecheng-6927	48	42	)	)	SYM
fumecheng-6927	48	43	136	136	NUM
fumecheng-6927	48	44	m.	m.	NOUN
fumecheng-6927	48	45	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	48	46	,	,	PUNCT
fumecheng-6927	48	47	e.	e.	PROPN
fumecheng-6927	48	48	a.	a.	PROPN
fumecheng-6927	48	49	lópez	lópez	PROPN
fumecheng-6927	48	50	-	-	PUNCT
fumecheng-6927	48	51	guerra	guerra	PROPN
fumecheng-6927	48	52	,	,	PUNCT
fumecheng-6927	48	53	s.	s.	PROPN
fumecheng-6927	48	54	d.	d.	PROPN
fumecheng-6927	48	55	solares	solare	VERB
fumecheng-6927	48	56	where	where	SCONJ
fumecheng-6927	48	57	un	un	PROPN
fumecheng-6927	48	58	and	and	CCONJ
fumecheng-6927	48	59	qm	qm	PROPN
fumecheng-6927	48	60	are	be	AUX
fumecheng-6927	48	61	differential	differential	ADJ
fumecheng-6927	48	62	coefficients	coefficient	NOUN
fumecheng-6927	48	63	,	,	PUNCT
fumecheng-6927	48	64	and	and	CCONJ
fumecheng-6927	48	65	(t)and	(t)and	NUM
fumecheng-6927	48	66	(t)are	(t)are	VERB
fumecheng-6927	48	67	stress	stress	NOUN
fumecheng-6927	48	68	and	and	CCONJ
fumecheng-6927	48	69	strain	strain	NOUN
fumecheng-6927	48	70	,	,	PUNCT
fumecheng-6927	48	71	respectively	respectively	ADV
fumecheng-6927	48	72	.	.	PUNCT
fumecheng-6927	49	1	this	this	DET
fumecheng-6927	49	2	equation	equation	NOUN
fumecheng-6927	49	3	is	be	AUX
fumecheng-6927	49	4	model	model	NOUN
fumecheng-6927	49	5	independent	independent	ADJ
fumecheng-6927	49	6	,	,	PUNCT
fumecheng-6927	49	7	where	where	SCONJ
fumecheng-6927	49	8	the	the	DET
fumecheng-6927	49	9	nth	nth	NOUN
fumecheng-6927	49	10	and	and	CCONJ
fumecheng-6927	49	11	mth	mth	NOUN
fumecheng-6927	49	12	time	time	NOUN
fumecheng-6927	49	13	derivatives	derivative	NOUN
fumecheng-6927	49	14	are	be	AUX
fumecheng-6927	49	15	acting	act	VERB
fumecheng-6927	49	16	on	on	ADP
fumecheng-6927	49	17	the	the	DET
fumecheng-6927	49	18	stress	stress	NOUN
fumecheng-6927	49	19	and	and	CCONJ
fumecheng-6927	49	20	strain	strain	ADJ
fumecheng-6927	49	21	tensors	tensor	NOUN
fumecheng-6927	49	22	,	,	PUNCT
fumecheng-6927	49	23	respectively	respectively	ADV
fumecheng-6927	49	24	.	.	PUNCT
fumecheng-6927	50	1	for	for	ADP
fumecheng-6927	50	2	mathematical	mathematical	ADJ
fumecheng-6927	50	3	convenience	convenience	NOUN
fumecheng-6927	50	4	,	,	PUNCT
fumecheng-6927	50	5	the	the	DET
fumecheng-6927	50	6	differential	differential	ADJ
fumecheng-6927	50	7	equation	equation	NOUN
fumecheng-6927	50	8	can	can	AUX
fumecheng-6927	50	9	be	be	AUX
fumecheng-6927	50	10	transformed	transform	VERB
fumecheng-6927	50	11	into	into	ADP
fumecheng-6927	50	12	an	an	DET
fumecheng-6927	50	13	algebraic	algebraic	ADJ
fumecheng-6927	50	14	equation	equation	NOUN
fumecheng-6927	50	15	by	by	ADP
fumecheng-6927	50	16	applying	apply	VERB
fumecheng-6927	50	17	the	the	DET
fumecheng-6927	50	18	laplace	laplace	NOUN
fumecheng-6927	50	19	transform	transform	NOUN
fumecheng-6927	50	20	.	.	PUNCT
fumecheng-6927	51	1	doing	do	VERB
fumecheng-6927	51	2	so	so	ADV
fumecheng-6927	51	3	will	will	AUX
fumecheng-6927	51	4	transform	transform	VERB
fumecheng-6927	51	5	eq	eq	ADP
fumecheng-6927	51	6	.	.	PUNCT
fumecheng-6927	52	1	(	(	PUNCT
fumecheng-6927	52	2	1	1	X
fumecheng-6927	52	3	)	)	PUNCT
fumecheng-6927	52	4	to	to	ADP
fumecheng-6927	52	5	,	,	PUNCT
fumecheng-6927	52	6	�	�	PROPN
fumecheng-6927	52	7	̅	̅	NOUN
fumecheng-6927	52	8	�	�	NOUN
fumecheng-6927	52	9	(𝑠)𝜎(𝑠	(𝑠)𝜎(𝑠	NOUN
fumecheng-6927	52	10	)	)	PUNCT
fumecheng-6927	52	11	=	=	SYM
fumecheng-6927	52	12	�	�	PROPN
fumecheng-6927	52	13	̅	̅	NOUN
fumecheng-6927	52	14	�	�	NOUN
fumecheng-6927	52	15	(𝑠)𝜀(̅𝑠	(𝑠)𝜀(̅𝑠	PUNCT
fumecheng-6927	52	16	)	)	PUNCT
fumecheng-6927	52	17	(	(	PUNCT
fumecheng-6927	52	18	2	2	X
fumecheng-6927	52	19	)	)	PUNCT
fumecheng-6927	52	20	where	where	SCONJ
fumecheng-6927	52	21	�	�	NOUN
fumecheng-6927	52	22	̅	̅	NOUN
fumecheng-6927	52	23	�	�	NOUN
fumecheng-6927	52	24	(𝑠	(𝑠	NOUN
fumecheng-6927	52	25	)	)	PUNCT
fumecheng-6927	52	26	=	=	SYM
fumecheng-6927	52	27	∑	∑	PUNCT
fumecheng-6927	52	28	𝑢𝑛𝑠𝑛	𝑢𝑛𝑠𝑛	VERB
fumecheng-6927	52	29	𝑛	𝑛	PROPN
fumecheng-6927	52	30	,	,	PUNCT
fumecheng-6927	52	31	�	�	NOUN
fumecheng-6927	52	32	̅	̅	NOUN
fumecheng-6927	52	33	�	�	NOUN
fumecheng-6927	52	34	(𝑠	(𝑠	NOUN
fumecheng-6927	52	35	)	)	PUNCT
fumecheng-6927	52	36	=	=	SYM
fumecheng-6927	52	37	∑	∑	PUNCT
fumecheng-6927	52	38	𝑞𝑚𝑠𝑚	𝑞𝑚𝑠𝑚	NOUN
fumecheng-6927	52	39	𝑚	𝑚	PROPN
fumecheng-6927	52	40	and	and	CCONJ
fumecheng-6927	52	41	𝜎(𝑠	𝜎(𝑠	PROPN
fumecheng-6927	52	42	)	)	PUNCT
fumecheng-6927	52	43	,	,	PUNCT
fumecheng-6927	52	44	𝜀(̅𝑠	𝜀(̅𝑠	NOUN
fumecheng-6927	52	45	)	)	PUNCT
fumecheng-6927	52	46	are	be	AUX
fumecheng-6927	52	47	the	the	DET
fumecheng-6927	52	48	transformed	transform	VERB
fumecheng-6927	52	49	stress	stress	NOUN
fumecheng-6927	52	50	and	and	CCONJ
fumecheng-6927	52	51	strain	strain	NOUN
fumecheng-6927	52	52	,	,	PUNCT
fumecheng-6927	52	53	respectively	respectively	ADV
fumecheng-6927	52	54	.	.	PUNCT
fumecheng-6927	53	1	here	here	ADV
fumecheng-6927	53	2	,	,	PUNCT
fumecheng-6927	53	3	it	it	PRON
fumecheng-6927	53	4	is	be	AUX
fumecheng-6927	53	5	assumed	assume	VERB
fumecheng-6927	53	6	zero	zero	NUM
fumecheng-6927	53	7	initial	initial	ADJ
fumecheng-6927	53	8	conditions	condition	NOUN
fumecheng-6927	53	9	which	which	PRON
fumecheng-6927	53	10	should	should	AUX
fumecheng-6927	53	11	not	not	PART
fumecheng-6927	53	12	affect	affect	VERB
fumecheng-6927	53	13	generality	generality	NOUN
fumecheng-6927	53	14	as	as	SCONJ
fumecheng-6927	53	15	they	they	PRON
fumecheng-6927	53	16	can	can	AUX
fumecheng-6927	53	17	be	be	AUX
fumecheng-6927	53	18	incorporated	incorporate	VERB
fumecheng-6927	53	19	when	when	SCONJ
fumecheng-6927	53	20	necessary	necessary	ADJ
fumecheng-6927	53	21	[	[	X
fumecheng-6927	53	22	2	2	NUM
fumecheng-6927	53	23	]	]	PUNCT
fumecheng-6927	53	24	.	.	PUNCT
fumecheng-6927	54	1	note	note	VERB
fumecheng-6927	54	2	that	that	SCONJ
fumecheng-6927	54	3	�	�	NOUN
fumecheng-6927	54	4	̅	̅	NOUN
fumecheng-6927	54	5	�	�	NOUN
fumecheng-6927	54	6	(𝑠	(𝑠	NOUN
fumecheng-6927	54	7	)	)	PUNCT
fumecheng-6927	54	8	and	and	CCONJ
fumecheng-6927	54	9	�	�	PROPN
fumecheng-6927	54	10	̅	̅	NOUN
fumecheng-6927	54	11	�	�	NOUN
fumecheng-6927	54	12	(𝑠	(𝑠	NOUN
fumecheng-6927	54	13	)	)	PUNCT
fumecheng-6927	54	14	are	be	AUX
fumecheng-6927	54	15	now	now	ADV
fumecheng-6927	54	16	simply	simply	ADV
fumecheng-6927	54	17	polynomials	polynomial	NOUN
fumecheng-6927	54	18	in	in	ADP
fumecheng-6927	54	19	the	the	DET
fumecheng-6927	54	20	complex	complex	ADJ
fumecheng-6927	54	21	variable	variable	NOUN
fumecheng-6927	54	22	‘s	‘	NOUN
fumecheng-6927	54	23	’	'	PUNCT
fumecheng-6927	54	24	.	.	PUNCT
fumecheng-6927	55	1	the	the	DET
fumecheng-6927	55	2	interested	interested	ADJ
fumecheng-6927	55	3	reader	reader	NOUN
fumecheng-6927	55	4	can	can	AUX
fumecheng-6927	55	5	learn	learn	VERB
fumecheng-6927	55	6	more	more	ADJ
fumecheng-6927	55	7	about	about	ADP
fumecheng-6927	55	8	the	the	DET
fumecheng-6927	55	9	laplace	laplace	NOUN
fumecheng-6927	55	10	transform	transform	NOUN
fumecheng-6927	55	11	by	by	ADP
fumecheng-6927	55	12	consulting	consult	VERB
fumecheng-6927	55	13	appropriate	appropriate	ADJ
fumecheng-6927	55	14	references	reference	NOUN
fumecheng-6927	55	15	[	[	X
fumecheng-6927	55	16	41	41	NUM
fumecheng-6927	55	17	-	-	SYM
fumecheng-6927	55	18	43	43	NUM
fumecheng-6927	55	19	]	]	PUNCT
fumecheng-6927	55	20	,	,	PUNCT
fumecheng-6927	55	21	although	although	SCONJ
fumecheng-6927	55	22	this	this	PRON
fumecheng-6927	55	23	is	be	AUX
fumecheng-6927	55	24	not	not	PART
fumecheng-6927	55	25	a	a	DET
fumecheng-6927	55	26	strict	strict	ADJ
fumecheng-6927	55	27	requirement	requirement	NOUN
fumecheng-6927	55	28	to	to	PART
fumecheng-6927	55	29	understand	understand	VERB
fumecheng-6927	55	30	the	the	DET
fumecheng-6927	55	31	practical	practical	ADJ
fumecheng-6927	55	32	implementation	implementation	NOUN
fumecheng-6927	55	33	of	of	ADP
fumecheng-6927	55	34	the	the	DET
fumecheng-6927	55	35	algorithms	algorithm	NOUN
fumecheng-6927	55	36	described	describe	VERB
fumecheng-6927	55	37	in	in	ADP
fumecheng-6927	55	38	this	this	DET
fumecheng-6927	55	39	manuscript	manuscript	NOUN
fumecheng-6927	55	40	.	.	PUNCT
fumecheng-6927	56	1	we	we	PRON
fumecheng-6927	56	2	can	can	AUX
fumecheng-6927	56	3	rearrange	rearrange	VERB
fumecheng-6927	56	4	eq	eq	ADP
fumecheng-6927	56	5	.	.	PUNCT
fumecheng-6927	57	1	(	(	PUNCT
fumecheng-6927	57	2	2	2	NUM
fumecheng-6927	57	3	)	)	PUNCT
fumecheng-6927	57	4	in	in	ADP
fumecheng-6927	57	5	two	two	NUM
fumecheng-6927	57	6	ways	way	NOUN
fumecheng-6927	57	7	,	,	PUNCT
fumecheng-6927	57	8	depending	depend	VERB
fumecheng-6927	57	9	on	on	ADP
fumecheng-6927	57	10	whether	whether	SCONJ
fumecheng-6927	57	11	stress	stress	NOUN
fumecheng-6927	57	12	or	or	CCONJ
fumecheng-6927	57	13	strain	strain	NOUN
fumecheng-6927	57	14	is	be	AUX
fumecheng-6927	57	15	regarded	regard	VERB
fumecheng-6927	57	16	as	as	ADP
fumecheng-6927	57	17	the	the	DET
fumecheng-6927	57	18	input	input	NOUN
fumecheng-6927	57	19	.	.	PUNCT
fumecheng-6927	58	1	for	for	ADP
fumecheng-6927	58	2	example	example	NOUN
fumecheng-6927	58	3	,	,	PUNCT
fumecheng-6927	58	4	when	when	SCONJ
fumecheng-6927	58	5	regarding	regard	VERB
fumecheng-6927	58	6	strain	strain	NOUN
fumecheng-6927	58	7	as	as	ADP
fumecheng-6927	58	8	the	the	DET
fumecheng-6927	58	9	input	input	NOUN
fumecheng-6927	58	10	,	,	PUNCT
fumecheng-6927	58	11	eq	eq	NOUN
fumecheng-6927	58	12	.	.	PUNCT
fumecheng-6927	58	13	(	(	PUNCT
fumecheng-6927	58	14	2	2	X
fumecheng-6927	58	15	)	)	PUNCT
fumecheng-6927	58	16	is	be	AUX
fumecheng-6927	58	17	rearranged	rearrange	VERB
fumecheng-6927	58	18	in	in	ADP
fumecheng-6927	58	19	the	the	DET
fumecheng-6927	58	20	following	following	ADJ
fumecheng-6927	58	21	manner	manner	NOUN
fumecheng-6927	58	22	:	:	PUNCT
fumecheng-6927	58	23	𝜎(𝑠	𝜎(𝑠	NUM
fumecheng-6927	58	24	)	)	PUNCT
fumecheng-6927	58	25	=	=	PUNCT
fumecheng-6927	58	26	�	�	PROPN
fumecheng-6927	58	27	̅	̅	NOUN
fumecheng-6927	58	28	�	�	NOUN
fumecheng-6927	58	29	(𝑠)𝜀(̅𝑠	(𝑠)𝜀(̅𝑠	PUNCT
fumecheng-6927	58	30	)	)	PUNCT
fumecheng-6927	58	31	(	(	PUNCT
fumecheng-6927	58	32	3	3	X
fumecheng-6927	58	33	)	)	PUNCT
fumecheng-6927	58	34	where	where	SCONJ
fumecheng-6927	58	35	�	�	NOUN
fumecheng-6927	58	36	̅	̅	NOUN
fumecheng-6927	58	37	�	�	NOUN
fumecheng-6927	58	38	(𝑠	(𝑠	NOUN
fumecheng-6927	58	39	)	)	PUNCT
fumecheng-6927	58	40	=	=	SYM
fumecheng-6927	58	41	�	�	NOUN
fumecheng-6927	58	42	̅	̅	NOUN
fumecheng-6927	58	43	�	�	NOUN
fumecheng-6927	58	44	(𝑠	(𝑠	NOUN
fumecheng-6927	58	45	)	)	PUNCT
fumecheng-6927	58	46	𝑢(𝑠	𝑢(𝑠	NOUN
fumecheng-6927	58	47	)	)	PUNCT
fumecheng-6927	58	48	is	be	AUX
fumecheng-6927	58	49	the	the	DET
fumecheng-6927	58	50	relaxance	relaxance	NOUN
fumecheng-6927	58	51	,	,	PUNCT
fumecheng-6927	58	52	which	which	PRON
fumecheng-6927	58	53	is	be	AUX
fumecheng-6927	58	54	the	the	DET
fumecheng-6927	58	55	mathematical	mathematical	ADJ
fumecheng-6927	58	56	transform	transform	NOUN
fumecheng-6927	58	57	carrying	carry	VERB
fumecheng-6927	58	58	the	the	DET
fumecheng-6927	58	59	viscoelastic	viscoelastic	ADJ
fumecheng-6927	58	60	information	information	NOUN
fumecheng-6927	58	61	that	that	PRON
fumecheng-6927	58	62	will	will	AUX
fumecheng-6927	58	63	rule	rule	VERB
fumecheng-6927	58	64	the	the	DET
fumecheng-6927	58	65	stress	stress	ADJ
fumecheng-6927	58	66	response	response	NOUN
fumecheng-6927	58	67	to	to	ADP
fumecheng-6927	58	68	a	a	DET
fumecheng-6927	58	69	given	give	VERB
fumecheng-6927	58	70	strain	strain	NOUN
fumecheng-6927	58	71	input	input	NOUN
fumecheng-6927	58	72	.	.	PUNCT
fumecheng-6927	59	1	on	on	ADP
fumecheng-6927	59	2	the	the	DET
fumecheng-6927	59	3	other	other	ADJ
fumecheng-6927	59	4	hand	hand	NOUN
fumecheng-6927	59	5	,	,	PUNCT
fumecheng-6927	59	6	if	if	SCONJ
fumecheng-6927	59	7	the	the	DET
fumecheng-6927	59	8	stress	stress	NOUN
fumecheng-6927	59	9	is	be	AUX
fumecheng-6927	59	10	regarded	regard	VERB
fumecheng-6927	59	11	as	as	ADP
fumecheng-6927	59	12	the	the	DET
fumecheng-6927	59	13	input	input	NOUN
fumecheng-6927	59	14	,	,	PUNCT
fumecheng-6927	59	15	eq	eq	NOUN
fumecheng-6927	59	16	.	.	PUNCT
fumecheng-6927	60	1	(	(	PUNCT
fumecheng-6927	60	2	2	2	X
fumecheng-6927	60	3	)	)	PUNCT
fumecheng-6927	60	4	can	can	AUX
fumecheng-6927	60	5	be	be	AUX
fumecheng-6927	60	6	rearranged	rearrange	VERB
fumecheng-6927	60	7	as	as	ADP
fumecheng-6927	60	8	:	:	PUNCT
fumecheng-6927	60	9	𝜀(̅𝑠	𝜀(̅𝑠	NOUN
fumecheng-6927	60	10	)	)	PUNCT
fumecheng-6927	60	11	=	=	SYM
fumecheng-6927	60	12	𝑈(𝑠)𝜎(𝑠	𝑈(𝑠)𝜎(𝑠	NOUN
fumecheng-6927	60	13	)	)	PUNCT
fumecheng-6927	60	14	(	(	PUNCT
fumecheng-6927	60	15	4	4	X
fumecheng-6927	60	16	)	)	PUNCT
fumecheng-6927	60	17	where	where	SCONJ
fumecheng-6927	60	18	the	the	DET
fumecheng-6927	60	19	retardance	retardance	NOUN
fumecheng-6927	60	20	,	,	PUNCT
fumecheng-6927	60	21	𝑈(𝑠	𝑈(𝑠	NOUN
fumecheng-6927	60	22	)	)	PUNCT
fumecheng-6927	60	23	=	=	SYM
fumecheng-6927	60	24	𝑢(𝑠	𝑢(𝑠	NOUN
fumecheng-6927	60	25	)	)	PUNCT
fumecheng-6927	60	26	�	�	NOUN
fumecheng-6927	60	27	̅	̅	NOUN
fumecheng-6927	60	28	�	�	NOUN
fumecheng-6927	60	29	(𝑠	(𝑠	NOUN
fumecheng-6927	60	30	)	)	PUNCT
fumecheng-6927	60	31	,	,	PUNCT
fumecheng-6927	60	32	is	be	AUX
fumecheng-6927	60	33	introduced	introduce	VERB
fumecheng-6927	60	34	.	.	PUNCT
fumecheng-6927	61	1	here	here	ADV
fumecheng-6927	61	2	,	,	PUNCT
fumecheng-6927	61	3	the	the	DET
fumecheng-6927	61	4	material	material	NOUN
fumecheng-6927	61	5	transform	transform	VERB
fumecheng-6927	61	6	𝑈(𝑠	𝑈(𝑠	ADP
fumecheng-6927	61	7	)	)	PUNCT
fumecheng-6927	61	8	,	,	PUNCT
fumecheng-6927	61	9	containing	contain	VERB
fumecheng-6927	61	10	the	the	DET
fumecheng-6927	61	11	mechanical	mechanical	ADJ
fumecheng-6927	61	12	information	information	NOUN
fumecheng-6927	61	13	of	of	ADP
fumecheng-6927	61	14	a	a	DET
fumecheng-6927	61	15	given	give	VERB
fumecheng-6927	61	16	material	material	NOUN
fumecheng-6927	61	17	,	,	PUNCT
fumecheng-6927	61	18	governs	govern	VERB
fumecheng-6927	61	19	the	the	DET
fumecheng-6927	61	20	strain	strain	NOUN
fumecheng-6927	61	21	response	response	NOUN
fumecheng-6927	61	22	when	when	SCONJ
fumecheng-6927	61	23	an	an	DET
fumecheng-6927	61	24	excitation	excitation	NOUN
fumecheng-6927	61	25	stress	stress	NOUN
fumecheng-6927	61	26	is	be	AUX
fumecheng-6927	61	27	imposed	impose	VERB
fumecheng-6927	61	28	.	.	PUNCT
fumecheng-6927	62	1	as	as	SCONJ
fumecheng-6927	62	2	can	can	AUX
fumecheng-6927	62	3	be	be	AUX
fumecheng-6927	62	4	observed	observe	VERB
fumecheng-6927	62	5	in	in	ADP
fumecheng-6927	62	6	eq	eq	ADP
fumecheng-6927	62	7	.	.	PUNCT
fumecheng-6927	63	1	(	(	PUNCT
fumecheng-6927	63	2	3	3	NUM
fumecheng-6927	63	3	)	)	PUNCT
fumecheng-6927	63	4	and	and	CCONJ
fumecheng-6927	63	5	eq	eq	NOUN
fumecheng-6927	63	6	.	.	PUNCT
fumecheng-6927	64	1	(	(	PUNCT
fumecheng-6927	64	2	4	4	NUM
fumecheng-6927	64	3	)	)	PUNCT
fumecheng-6927	64	4	,	,	PUNCT
fumecheng-6927	64	5	the	the	DET
fumecheng-6927	64	6	retardance	retardance	NOUN
fumecheng-6927	64	7	is	be	AUX
fumecheng-6927	64	8	the	the	DET
fumecheng-6927	64	9	inverse	inverse	NOUN
fumecheng-6927	64	10	of	of	ADP
fumecheng-6927	64	11	the	the	DET
fumecheng-6927	64	12	relaxance	relaxance	NOUN
fumecheng-6927	64	13	:	:	PUNCT
fumecheng-6927	64	14	�	�	NOUN
fumecheng-6927	64	15	̅	̅	NOUN
fumecheng-6927	64	16	�	�	NOUN
fumecheng-6927	64	17	(𝑠	(𝑠	NOUN
fumecheng-6927	64	18	)	)	PUNCT
fumecheng-6927	65	1	=	=	SYM
fumecheng-6927	65	2	1/𝑈(𝑠	1/𝑈(𝑠	NUM
fumecheng-6927	65	3	)	)	PUNCT
fumecheng-6927	65	4	(	(	PUNCT
fumecheng-6927	65	5	5	5	NUM
fumecheng-6927	65	6	)	)	PUNCT
fumecheng-6927	65	7	in	in	ADP
fumecheng-6927	65	8	the	the	DET
fumecheng-6927	65	9	case	case	NOUN
fumecheng-6927	65	10	of	of	ADP
fumecheng-6927	65	11	the	the	DET
fumecheng-6927	65	12	generalized	generalize	VERB
fumecheng-6927	65	13	models	model	NOUN
fumecheng-6927	65	14	in	in	ADP
fumecheng-6927	65	15	fig	fig	NOUN
fumecheng-6927	65	16	.	.	PUNCT
fumecheng-6927	66	1	1	1	NUM
fumecheng-6927	66	2	,	,	PUNCT
fumecheng-6927	66	3	the	the	DET
fumecheng-6927	66	4	material	material	NOUN
fumecheng-6927	66	5	transforms	transform	VERB
fumecheng-6927	66	6	are	be	AUX
fumecheng-6927	66	7	ratios	ratio	NOUN
fumecheng-6927	66	8	of	of	ADP
fumecheng-6927	66	9	polynomials	polynomial	NOUN
fumecheng-6927	66	10	in	in	ADP
fumecheng-6927	66	11	the	the	DET
fumecheng-6927	66	12	complex	complex	ADJ
fumecheng-6927	66	13	variable	variable	NOUN
fumecheng-6927	66	14	‘s	‘	NOUN
fumecheng-6927	66	15	’	'	PUNCT
fumecheng-6927	66	16	.	.	PUNCT
fumecheng-6927	67	1	these	these	DET
fumecheng-6927	67	2	polynomial	polynomial	ADJ
fumecheng-6927	67	3	expressions	expression	NOUN
fumecheng-6927	67	4	,	,	PUNCT
fumecheng-6927	67	5	�	�	NOUN
fumecheng-6927	67	6	̅	̅	NOUN
fumecheng-6927	67	7	�	�	NOUN
fumecheng-6927	67	8	(𝑠	(𝑠	NOUN
fumecheng-6927	67	9	)	)	PUNCT
fumecheng-6927	67	10	and	and	CCONJ
fumecheng-6927	67	11	�	�	PROPN
fumecheng-6927	67	12	̅	̅	NOUN
fumecheng-6927	67	13	�	�	NOUN
fumecheng-6927	67	14	(𝑠	(𝑠	NOUN
fumecheng-6927	67	15	)	)	PUNCT
fumecheng-6927	67	16	,	,	PUNCT
fumecheng-6927	67	17	can	can	AUX
fumecheng-6927	67	18	be	be	AUX
fumecheng-6927	67	19	expressed	express	VERB
fumecheng-6927	67	20	in	in	ADP
fumecheng-6927	67	21	terms	term	NOUN
fumecheng-6927	67	22	of	of	ADP
fumecheng-6927	67	23	the	the	DET
fumecheng-6927	67	24	spring	spring	NOUN
fumecheng-6927	67	25	and	and	CCONJ
fumecheng-6927	67	26	dashpot	dashpot	NOUN
fumecheng-6927	67	27	(	(	PUNCT
fumecheng-6927	67	28	damper	damper	NOUN
fumecheng-6927	67	29	)	)	PUNCT
fumecheng-6927	67	30	values	value	NOUN
fumecheng-6927	67	31	in	in	ADP
fumecheng-6927	67	32	the	the	DET
fumecheng-6927	67	33	generalized	generalize	VERB
fumecheng-6927	67	34	models	model	NOUN
fumecheng-6927	67	35	in	in	ADP
fumecheng-6927	67	36	fig	fig	NOUN
fumecheng-6927	67	37	.	.	PUNCT
fumecheng-6927	68	1	1	1	X
fumecheng-6927	68	2	.	.	X
fumecheng-6927	69	1	the	the	DET
fumecheng-6927	69	2	process	process	NOUN
fumecheng-6927	69	3	to	to	PART
fumecheng-6927	69	4	find	find	VERB
fumecheng-6927	69	5	them	they	PRON
fumecheng-6927	69	6	is	be	AUX
fumecheng-6927	69	7	analogous	analogous	ADJ
fumecheng-6927	69	8	to	to	ADP
fumecheng-6927	69	9	formulating	formulate	VERB
fumecheng-6927	69	10	mesh	mesh	NOUN
fumecheng-6927	69	11	equations	equation	NOUN
fumecheng-6927	69	12	in	in	ADP
fumecheng-6927	69	13	electric	electric	ADJ
fumecheng-6927	69	14	circuit	circuit	NOUN
fumecheng-6927	69	15	theory	theory	NOUN
fumecheng-6927	69	16	[	[	X
fumecheng-6927	69	17	2	2	NUM
fumecheng-6927	69	18	,	,	PUNCT
fumecheng-6927	69	19	41	41	NUM
fumecheng-6927	69	20	]	]	PUNCT
fumecheng-6927	69	21	.	.	PUNCT
fumecheng-6927	70	1	an	an	DET
fumecheng-6927	70	2	example	example	NOUN
fumecheng-6927	70	3	for	for	ADP
fumecheng-6927	70	4	this	this	DET
fumecheng-6927	70	5	calculation	calculation	NOUN
fumecheng-6927	70	6	is	be	AUX
fumecheng-6927	70	7	given	give	VERB
fumecheng-6927	70	8	later	later	ADV
fumecheng-6927	70	9	in	in	ADP
fumecheng-6927	70	10	section	section	NOUN
fumecheng-6927	70	11	2.3	2.3	NUM
fumecheng-6927	70	12	.	.	PUNCT
fumecheng-6927	71	1	for	for	ADP
fumecheng-6927	71	2	now	now	ADV
fumecheng-6927	71	3	,	,	PUNCT
fumecheng-6927	71	4	the	the	DET
fumecheng-6927	71	5	derivation	derivation	NOUN
fumecheng-6927	71	6	is	be	AUX
fumecheng-6927	71	7	skipped	skip	VERB
fumecheng-6927	71	8	and	and	CCONJ
fumecheng-6927	71	9	the	the	DET
fumecheng-6927	71	10	relaxance	relaxance	NOUN
fumecheng-6927	71	11	and	and	CCONJ
fumecheng-6927	71	12	retardance	retardance	NOUN
fumecheng-6927	71	13	for	for	ADP
fumecheng-6927	71	14	the	the	DET
fumecheng-6927	71	15	generalized	generalized	ADJ
fumecheng-6927	71	16	maxwell	maxwell	PROPN
fumecheng-6927	71	17	and	and	CCONJ
fumecheng-6927	71	18	kelvin	kelvin	PROPN
fumecheng-6927	71	19	-	-	PUNCT
fumecheng-6927	71	20	voigt	voigt	PROPN
fumecheng-6927	71	21	models	model	NOUN
fumecheng-6927	71	22	are	be	AUX
fumecheng-6927	71	23	given	give	VERB
fumecheng-6927	71	24	here	here	ADV
fumecheng-6927	71	25	:	:	PUNCT
fumecheng-6927	71	26	�	�	NOUN
fumecheng-6927	71	27	̅	̅	NOUN
fumecheng-6927	71	28	�	�	NOUN
fumecheng-6927	71	29	(𝑠	(𝑠	NOUN
fumecheng-6927	71	30	)	)	PUNCT
fumecheng-6927	71	31	=	=	PUNCT
fumecheng-6927	72	1	𝐺𝑒	𝐺𝑒	PROPN
fumecheng-6927	72	2	+	+	CCONJ
fumecheng-6927	72	3	∑	∑	PROPN
fumecheng-6927	72	4	𝐺𝑛𝜏𝑛𝑠	𝐺𝑛𝜏𝑛𝑠	PROPN
fumecheng-6927	72	5	1+𝜏𝑛𝑠	1+𝜏𝑛𝑠	NOUN
fumecheng-6927	73	1	𝑁	𝑁	PROPN
fumecheng-6927	73	2	𝑛=0	𝑛=0	NOUN
fumecheng-6927	73	3	(	(	PUNCT
fumecheng-6927	73	4	6	6	NUM
fumecheng-6927	73	5	)	)	PUNCT
fumecheng-6927	73	6	𝑈(𝑠	𝑈(𝑠	NOUN
fumecheng-6927	73	7	)	)	PUNCT
fumecheng-6927	73	8	=	=	SYM
fumecheng-6927	74	1	𝐽𝑔	𝐽𝑔	PROPN
fumecheng-6927	74	2	+	+	CCONJ
fumecheng-6927	74	3	∑	∑	PUNCT
fumecheng-6927	74	4	𝐽𝑛	𝐽𝑛	PROPN
fumecheng-6927	74	5	1+𝜏𝑛𝑠	1+𝜏𝑛𝑠	NOUN
fumecheng-6927	74	6	𝑁	𝑁	PROPN
fumecheng-6927	74	7	𝑛=0	𝑛=0	PROPN
fumecheng-6927	74	8	(	(	PUNCT
fumecheng-6927	74	9	7	7	NUM
fumecheng-6927	74	10	)	)	PUNCT
fumecheng-6927	74	11	where	where	SCONJ
fumecheng-6927	74	12	ge	ge	PROPN
fumecheng-6927	74	13	is	be	AUX
fumecheng-6927	74	14	the	the	DET
fumecheng-6927	74	15	equilibrium	equilibrium	NOUN
fumecheng-6927	74	16	(	(	PUNCT
fumecheng-6927	74	17	rubbery	rubbery	NOUN
fumecheng-6927	74	18	)	)	PUNCT
fumecheng-6927	74	19	modulus	modulus	NOUN
fumecheng-6927	74	20	,	,	PUNCT
fumecheng-6927	74	21	which	which	PRON
fumecheng-6927	74	22	describes	describe	VERB
fumecheng-6927	74	23	the	the	DET
fumecheng-6927	74	24	elastic	elastic	ADJ
fumecheng-6927	74	25	response	response	NOUN
fumecheng-6927	74	26	of	of	ADP
fumecheng-6927	74	27	the	the	DET
fumecheng-6927	74	28	material	material	NOUN
fumecheng-6927	74	29	at	at	ADP
fumecheng-6927	74	30	long	long	ADJ
fumecheng-6927	74	31	timescales	timescale	NOUN
fumecheng-6927	74	32	,	,	PUNCT
fumecheng-6927	74	33	and	and	CCONJ
fumecheng-6927	74	34	jg	jg	PROPN
fumecheng-6927	74	35	is	be	AUX
fumecheng-6927	74	36	the	the	DET
fumecheng-6927	74	37	classy	classy	ADJ
fumecheng-6927	74	38	compliance	compliance	NOUN
fumecheng-6927	74	39	,	,	PUNCT
fumecheng-6927	74	40	which	which	PRON
fumecheng-6927	74	41	describes	describe	VERB
fumecheng-6927	74	42	the	the	DET
fumecheng-6927	74	43	elastic	elastic	ADJ
fumecheng-6927	74	44	response	response	NOUN
fumecheng-6927	74	45	of	of	ADP
fumecheng-6927	74	46	the	the	DET
fumecheng-6927	74	47	material	material	NOUN
fumecheng-6927	74	48	at	at	ADP
fumecheng-6927	74	49	short	short	ADJ
fumecheng-6927	74	50	timescales	timescale	NOUN
fumecheng-6927	75	1	[	[	X
fumecheng-6927	75	2	2	2	NUM
fumecheng-6927	75	3	]	]	PUNCT
fumecheng-6927	75	4	.	.	PUNCT
fumecheng-6927	76	1	both	both	DET
fumecheng-6927	76	2	quantities	quantity	NOUN
fumecheng-6927	76	3	are	be	AUX
fumecheng-6927	76	4	visually	visually	ADV
fumecheng-6927	76	5	guidelines	guideline	NOUN
fumecheng-6927	76	6	to	to	PART
fumecheng-6927	76	7	simulate	simulate	VERB
fumecheng-6927	76	8	linear	linear	ADJ
fumecheng-6927	76	9	viscoelastic	viscoelastic	NOUN
fumecheng-6927	76	10	materials	material	NOUN
fumecheng-6927	76	11	with	with	ADP
fumecheng-6927	76	12	an	an	DET
fumecheng-6927	76	13	arbitrary	arbitrary	ADJ
fumecheng-6927	76	14	number	number	NOUN
fumecheng-6927	76	15	of	of	ADP
fumecheng-6927	76	16	characteristic	characteristic	ADJ
fumecheng-6927	76	17	times	time	NOUN
fumecheng-6927	76	18	...	...	PUNCT
fumecheng-6927	76	19	137	137	NUM
fumecheng-6927	76	20	defined	define	VERB
fumecheng-6927	76	21	in	in	ADP
fumecheng-6927	76	22	fig	fig	NOUN
fumecheng-6927	76	23	.	.	PUNCT
fumecheng-6927	77	1	1	1	X
fumecheng-6927	77	2	.	.	X
fumecheng-6927	77	3	n	n	PRON
fumecheng-6927	77	4	corresponds	correspond	VERB
fumecheng-6927	77	5	to	to	ADP
fumecheng-6927	77	6	the	the	DET
fumecheng-6927	77	7	total	total	ADJ
fumecheng-6927	77	8	number	number	NOUN
fumecheng-6927	77	9	of	of	ADP
fumecheng-6927	77	10	characteristic	characteristic	ADJ
fumecheng-6927	77	11	times	time	NOUN
fumecheng-6927	77	12	in	in	ADP
fumecheng-6927	77	13	the	the	DET
fumecheng-6927	77	14	material	material	NOUN
fumecheng-6927	77	15	.	.	PUNCT
fumecheng-6927	78	1	n	n	NOUN
fumecheng-6927	78	2	refers	refer	VERB
fumecheng-6927	78	3	to	to	ADP
fumecheng-6927	78	4	the	the	DET
fumecheng-6927	78	5	nth	nth	NOUN
fumecheng-6927	78	6	characteristic	characteristic	ADJ
fumecheng-6927	78	7	time	time	NOUN
fumecheng-6927	78	8	.	.	PUNCT
fumecheng-6927	79	1	for	for	ADP
fumecheng-6927	79	2	the	the	DET
fumecheng-6927	79	3	generalized	generalize	VERB
fumecheng-6927	79	4	kelvin	kelvin	PROPN
fumecheng-6927	79	5	-	-	PUNCT
fumecheng-6927	79	6	voigt	voigt	PROPN
fumecheng-6927	79	7	model	model	NOUN
fumecheng-6927	79	8	,	,	PUNCT
fumecheng-6927	79	9	𝜏𝑛	𝜏𝑛	ADP
fumecheng-6927	79	10	=	=	PUNCT
fumecheng-6927	79	11	𝐽𝑛/𝜙𝑛	𝐽𝑛/𝜙𝑛	NOUN
fumecheng-6927	79	12	is	be	AUX
fumecheng-6927	79	13	the	the	DET
fumecheng-6927	79	14	retardation	retardation	NOUN
fumecheng-6927	79	15	time	time	NOUN
fumecheng-6927	79	16	related	relate	VERB
fumecheng-6927	79	17	to	to	ADP
fumecheng-6927	79	18	the	the	DET
fumecheng-6927	79	19	nth	nth	PROPN
fumecheng-6927	79	20	voigt	voigt	PROPN
fumecheng-6927	79	21	unit	unit	NOUN
fumecheng-6927	79	22	,	,	PUNCT
fumecheng-6927	79	23	given	give	VERB
fumecheng-6927	79	24	by	by	ADP
fumecheng-6927	79	25	the	the	DET
fumecheng-6927	79	26	ratio	ratio	NOUN
fumecheng-6927	79	27	of	of	ADP
fumecheng-6927	79	28	the	the	DET
fumecheng-6927	79	29	compliance	compliance	NOUN
fumecheng-6927	79	30	of	of	ADP
fumecheng-6927	79	31	the	the	DET
fumecheng-6927	79	32	n	n	ADV
fumecheng-6927	79	33	-	-	PUNCT
fumecheng-6927	79	34	th	th	NOUN
fumecheng-6927	79	35	spring	spring	NOUN
fumecheng-6927	79	36	over	over	ADP
fumecheng-6927	79	37	the	the	DET
fumecheng-6927	79	38	fluidity	fluidity	NOUN
fumecheng-6927	79	39	of	of	ADP
fumecheng-6927	79	40	the	the	DET
fumecheng-6927	79	41	nth	nth	NOUN
fumecheng-6927	79	42	dashpot	dashpot	NOUN
fumecheng-6927	79	43	.	.	PUNCT
fumecheng-6927	80	1	for	for	ADP
fumecheng-6927	80	2	the	the	DET
fumecheng-6927	80	3	generalized	generalized	ADJ
fumecheng-6927	80	4	maxwell	maxwell	PROPN
fumecheng-6927	80	5	model	model	NOUN
fumecheng-6927	80	6	,	,	PUNCT
fumecheng-6927	80	7	n	n	SYM
fumecheng-6927	80	8	=	=	SYM
fumecheng-6927	80	9	n	n	PROPN
fumecheng-6927	80	10	/	/	SYM
fumecheng-6927	80	11	gn	gn	PROPN
fumecheng-6927	80	12	is	be	AUX
fumecheng-6927	80	13	the	the	DET
fumecheng-6927	80	14	ratio	ratio	NOUN
fumecheng-6927	80	15	of	of	ADP
fumecheng-6927	80	16	the	the	DET
fumecheng-6927	80	17	viscosity	viscosity	NOUN
fumecheng-6927	80	18	of	of	ADP
fumecheng-6927	80	19	the	the	DET
fumecheng-6927	80	20	nth	nth	NOUN
fumecheng-6927	80	21	dashpot	dashpot	NOUN
fumecheng-6927	80	22	over	over	ADP
fumecheng-6927	80	23	the	the	DET
fumecheng-6927	80	24	modulus	modulus	NOUN
fumecheng-6927	80	25	of	of	ADP
fumecheng-6927	80	26	the	the	DET
fumecheng-6927	80	27	nth	nth	NOUN
fumecheng-6927	80	28	spring	spring	NOUN
fumecheng-6927	80	29	.	.	PUNCT
fumecheng-6927	81	1	parameters	parameter	NOUN
fumecheng-6927	81	2	of	of	ADP
fumecheng-6927	81	3	this	this	DET
fumecheng-6927	81	4	type	type	NOUN
fumecheng-6927	81	5	can	can	AUX
fumecheng-6927	81	6	be	be	AUX
fumecheng-6927	81	7	found	find	VERB
fumecheng-6927	81	8	in	in	ADP
fumecheng-6927	81	9	the	the	DET
fumecheng-6927	81	10	literature	literature	NOUN
fumecheng-6927	81	11	for	for	ADP
fumecheng-6927	81	12	certain	certain	ADJ
fumecheng-6927	81	13	materials	material	NOUN
fumecheng-6927	81	14	[	[	X
fumecheng-6927	81	15	17	17	NUM
fumecheng-6927	81	16	,	,	PUNCT
fumecheng-6927	81	17	44	44	NUM
fumecheng-6927	81	18	,	,	PUNCT
fumecheng-6927	81	19	45	45	NUM
fumecheng-6927	81	20	]	]	PUNCT
fumecheng-6927	81	21	.	.	PUNCT
fumecheng-6927	82	1	the	the	DET
fumecheng-6927	82	2	next	next	ADJ
fumecheng-6927	82	3	section	section	NOUN
fumecheng-6927	82	4	describes	describe	VERB
fumecheng-6927	82	5	how	how	SCONJ
fumecheng-6927	82	6	to	to	PART
fumecheng-6927	82	7	set	set	VERB
fumecheng-6927	82	8	up	up	ADP
fumecheng-6927	82	9	the	the	DET
fumecheng-6927	82	10	constitutive	constitutive	ADJ
fumecheng-6927	82	11	equation	equation	NOUN
fumecheng-6927	82	12	to	to	PART
fumecheng-6927	82	13	be	be	AUX
fumecheng-6927	82	14	solved	solve	VERB
fumecheng-6927	82	15	in	in	ADP
fumecheng-6927	82	16	our	our	PRON
fumecheng-6927	82	17	viscoelastic	viscoelastic	ADJ
fumecheng-6927	82	18	simulation	simulation	NOUN
fumecheng-6927	82	19	.	.	PUNCT
fumecheng-6927	83	1	here	here	ADV
fumecheng-6927	83	2	,	,	PUNCT
fumecheng-6927	83	3	it	it	PRON
fumecheng-6927	83	4	will	will	AUX
fumecheng-6927	83	5	become	become	VERB
fumecheng-6927	83	6	evident	evident	ADJ
fumecheng-6927	83	7	the	the	DET
fumecheng-6927	83	8	importance	importance	NOUN
fumecheng-6927	83	9	of	of	ADP
fumecheng-6927	83	10	the	the	DET
fumecheng-6927	83	11	mathematical	mathematical	ADJ
fumecheng-6927	83	12	concepts	concept	NOUN
fumecheng-6927	83	13	that	that	PRON
fumecheng-6927	83	14	were	be	AUX
fumecheng-6927	83	15	just	just	ADV
fumecheng-6927	83	16	presented	present	VERB
fumecheng-6927	83	17	in	in	ADP
fumecheng-6927	83	18	this	this	DET
fumecheng-6927	83	19	section	section	NOUN
fumecheng-6927	83	20	.	.	PUNCT
fumecheng-6927	84	1	2.2	2.2	NUM
fumecheng-6927	84	2	.	.	PUNCT
fumecheng-6927	85	1	defining	define	VERB
fumecheng-6927	85	2	the	the	DET
fumecheng-6927	85	3	governing	govern	VERB
fumecheng-6927	85	4	equation	equation	NOUN
fumecheng-6927	85	5	for	for	ADP
fumecheng-6927	85	6	the	the	DET
fumecheng-6927	85	7	specific	specific	ADJ
fumecheng-6927	85	8	case	case	NOUN
fumecheng-6927	85	9	of	of	ADP
fumecheng-6927	85	10	a	a	DET
fumecheng-6927	85	11	tip	tip	NOUN
fumecheng-6927	85	12	indenting	indent	VERB
fumecheng-6927	85	13	a	a	DET
fumecheng-6927	85	14	surface	surface	NOUN
fumecheng-6927	85	15	,	,	PUNCT
fumecheng-6927	85	16	a	a	DET
fumecheng-6927	85	17	customized	customized	ADJ
fumecheng-6927	85	18	equation	equation	NOUN
fumecheng-6927	85	19	resembling	resemble	VERB
fumecheng-6927	85	20	eq	eq	ADP
fumecheng-6927	85	21	.	.	PUNCT
fumecheng-6927	86	1	(	(	PUNCT
fumecheng-6927	86	2	1	1	NUM
fumecheng-6927	86	3	)	)	PUNCT
fumecheng-6927	86	4	,	,	PUNCT
fumecheng-6927	86	5	including	include	VERB
fumecheng-6927	86	6	geometrical	geometrical	ADJ
fumecheng-6927	86	7	aspects	aspect	NOUN
fumecheng-6927	86	8	of	of	ADP
fumecheng-6927	86	9	the	the	DET
fumecheng-6927	86	10	physical	physical	ADJ
fumecheng-6927	86	11	problem	problem	NOUN
fumecheng-6927	86	12	under	under	ADP
fumecheng-6927	86	13	consideration	consideration	NOUN
fumecheng-6927	86	14	,	,	PUNCT
fumecheng-6927	86	15	is	be	AUX
fumecheng-6927	86	16	needed	need	VERB
fumecheng-6927	86	17	.	.	PUNCT
fumecheng-6927	87	1	this	this	PRON
fumecheng-6927	87	2	is	be	AUX
fumecheng-6927	87	3	because	because	SCONJ
fumecheng-6927	87	4	there	there	PRON
fumecheng-6927	87	5	needs	need	VERB
fumecheng-6927	87	6	to	to	PART
fumecheng-6927	87	7	be	be	AUX
fumecheng-6927	87	8	a	a	DET
fumecheng-6927	87	9	relationship	relationship	NOUN
fumecheng-6927	87	10	between	between	ADP
fumecheng-6927	87	11	force	force	NOUN
fumecheng-6927	87	12	and	and	CCONJ
fumecheng-6927	87	13	indentation	indentation	NOUN
fumecheng-6927	87	14	(	(	PUNCT
fumecheng-6927	87	15	instead	instead	ADV
fumecheng-6927	87	16	of	of	ADP
fumecheng-6927	87	17	a	a	DET
fumecheng-6927	87	18	relationship	relationship	NOUN
fumecheng-6927	87	19	between	between	ADP
fumecheng-6927	87	20	stress	stress	NOUN
fumecheng-6927	87	21	and	and	CCONJ
fumecheng-6927	87	22	strain	strain	NOUN
fumecheng-6927	87	23	as	as	ADP
fumecheng-6927	87	24	in	in	ADP
fumecheng-6927	87	25	eq	eq	NOUN
fumecheng-6927	87	26	.	.	PUNCT
fumecheng-6927	88	1	(	(	PUNCT
fumecheng-6927	88	2	1	1	NUM
fumecheng-6927	88	3	)	)	PUNCT
fumecheng-6927	88	4	)	)	PUNCT
fumecheng-6927	88	5	,	,	PUNCT
fumecheng-6927	88	6	since	since	SCONJ
fumecheng-6927	88	7	the	the	DET
fumecheng-6927	88	8	afm	afm	PROPN
fumecheng-6927	88	9	instrument	instrument	NOUN
fumecheng-6927	88	10	measures	measure	NOUN
fumecheng-6927	88	11	forces	force	NOUN
fumecheng-6927	88	12	and	and	CCONJ
fumecheng-6927	88	13	distances	distance	NOUN
fumecheng-6927	88	14	,	,	PUNCT
fumecheng-6927	88	15	not	not	PART
fumecheng-6927	88	16	stresses	stress	NOUN
fumecheng-6927	88	17	.	.	PUNCT
fumecheng-6927	89	1	to	to	PART
fumecheng-6927	89	2	construct	construct	VERB
fumecheng-6927	89	3	this	this	DET
fumecheng-6927	89	4	relationship	relationship	NOUN
fumecheng-6927	89	5	,	,	PUNCT
fumecheng-6927	89	6	geometrical	geometrical	ADJ
fumecheng-6927	89	7	aspects	aspect	NOUN
fumecheng-6927	89	8	involving	involve	VERB
fumecheng-6927	89	9	a	a	DET
fumecheng-6927	89	10	boundary	boundary	ADJ
fumecheng-6927	89	11	value	value	NOUN
fumecheng-6927	89	12	problem	problem	NOUN
fumecheng-6927	89	13	need	need	VERB
fumecheng-6927	89	14	to	to	PART
fumecheng-6927	89	15	be	be	AUX
fumecheng-6927	89	16	considered	consider	VERB
fumecheng-6927	89	17	for	for	ADP
fumecheng-6927	89	18	which	which	PRON
fumecheng-6927	89	19	the	the	DET
fumecheng-6927	89	20	correspondence	correspondence	NOUN
fumecheng-6927	89	21	principle	principle	NOUN
fumecheng-6927	89	22	may	may	AUX
fumecheng-6927	89	23	be	be	AUX
fumecheng-6927	89	24	conveniently	conveniently	ADV
fumecheng-6927	89	25	invoked	invoke	VERB
fumecheng-6927	89	26	.	.	PUNCT
fumecheng-6927	90	1	it	it	PRON
fumecheng-6927	90	2	states	state	VERB
fumecheng-6927	90	3	that	that	SCONJ
fumecheng-6927	90	4	if	if	SCONJ
fumecheng-6927	90	5	the	the	DET
fumecheng-6927	90	6	elastic	elastic	ADJ
fumecheng-6927	90	7	solution	solution	NOUN
fumecheng-6927	90	8	for	for	ADP
fumecheng-6927	90	9	a	a	DET
fumecheng-6927	90	10	contact	contact	NOUN
fumecheng-6927	90	11	problem	problem	NOUN
fumecheng-6927	90	12	is	be	AUX
fumecheng-6927	90	13	known	know	VERB
fumecheng-6927	90	14	,	,	PUNCT
fumecheng-6927	90	15	the	the	DET
fumecheng-6927	90	16	viscoelastic	viscoelastic	ADJ
fumecheng-6927	90	17	solution	solution	NOUN
fumecheng-6927	90	18	can	can	AUX
fumecheng-6927	90	19	be	be	AUX
fumecheng-6927	90	20	directly	directly	ADV
fumecheng-6927	90	21	formulated	formulate	VERB
fumecheng-6927	90	22	as	as	SCONJ
fumecheng-6927	90	23	they	they	PRON
fumecheng-6927	90	24	are	be	AUX
fumecheng-6927	90	25	analogous	analogous	ADJ
fumecheng-6927	90	26	in	in	ADP
fumecheng-6927	90	27	the	the	DET
fumecheng-6927	90	28	laplace	laplace	NOUN
fumecheng-6927	90	29	domain	domain	NOUN
fumecheng-6927	90	30	[	[	X
fumecheng-6927	90	31	46	46	NUM
fumecheng-6927	90	32	]	]	PUNCT
fumecheng-6927	90	33	.	.	PUNCT
fumecheng-6927	91	1	the	the	DET
fumecheng-6927	91	2	mathematical	mathematical	ADJ
fumecheng-6927	91	3	details	detail	NOUN
fumecheng-6927	91	4	are	be	AUX
fumecheng-6927	91	5	beyond	beyond	ADP
fumecheng-6927	91	6	the	the	DET
fumecheng-6927	91	7	scope	scope	NOUN
fumecheng-6927	91	8	of	of	ADP
fumecheng-6927	91	9	this	this	DET
fumecheng-6927	91	10	manuscript	manuscript	NOUN
fumecheng-6927	91	11	,	,	PUNCT
fumecheng-6927	91	12	but	but	CCONJ
fumecheng-6927	91	13	curious	curious	ADJ
fumecheng-6927	91	14	readers	reader	NOUN
fumecheng-6927	91	15	are	be	AUX
fumecheng-6927	91	16	directed	direct	VERB
fumecheng-6927	91	17	to	to	ADP
fumecheng-6927	91	18	the	the	DET
fumecheng-6927	91	19	literature	literature	NOUN
fumecheng-6927	91	20	that	that	PRON
fumecheng-6927	91	21	discusses	discuss	VERB
fumecheng-6927	91	22	its	its	PRON
fumecheng-6927	91	23	validity	validity	NOUN
fumecheng-6927	91	24	[	[	X
fumecheng-6927	91	25	27	27	NUM
fumecheng-6927	91	26	,	,	PUNCT
fumecheng-6927	91	27	29	29	NUM
fumecheng-6927	91	28	,	,	PUNCT
fumecheng-6927	91	29	46	46	NUM
fumecheng-6927	91	30	,	,	PUNCT
fumecheng-6927	91	31	47	47	NUM
fumecheng-6927	91	32	]	]	PUNCT
fumecheng-6927	91	33	.	.	PUNCT
fumecheng-6927	92	1	for	for	ADP
fumecheng-6927	92	2	the	the	DET
fumecheng-6927	92	3	case	case	NOUN
fumecheng-6927	92	4	of	of	ADP
fumecheng-6927	92	5	a	a	DET
fumecheng-6927	92	6	spherical	spherical	ADJ
fumecheng-6927	92	7	indenter	indenter	NOUN
fumecheng-6927	92	8	with	with	ADP
fumecheng-6927	92	9	a	a	DET
fumecheng-6927	92	10	radius	radius	NOUN
fumecheng-6927	92	11	of	of	ADP
fumecheng-6927	92	12	curvature	curvature	NOUN
fumecheng-6927	92	13	r	r	NOUN
fumecheng-6927	92	14	,	,	PUNCT
fumecheng-6927	92	15	penetrating	penetrate	VERB
fumecheng-6927	92	16	a	a	DET
fumecheng-6927	92	17	viscoelastic	viscoelastic	ADJ
fumecheng-6927	92	18	half	half	ADJ
fumecheng-6927	92	19	-	-	PUNCT
fumecheng-6927	92	20	space	space	NOUN
fumecheng-6927	92	21	(	(	PUNCT
fumecheng-6927	92	22	e.g.	e.g.	ADV
fumecheng-6927	92	23	,	,	PUNCT
fumecheng-6927	92	24	an	an	DET
fumecheng-6927	92	25	afm	afm	PROPN
fumecheng-6927	92	26	tip	tip	NOUN
fumecheng-6927	92	27	penetrating	penetrate	VERB
fumecheng-6927	92	28	a	a	DET
fumecheng-6927	92	29	flat	flat	ADJ
fumecheng-6927	92	30	viscoelastic	viscoelastic	ADJ
fumecheng-6927	92	31	surface	surface	NOUN
fumecheng-6927	92	32	)	)	PUNCT
fumecheng-6927	92	33	,	,	PUNCT
fumecheng-6927	92	34	the	the	DET
fumecheng-6927	92	35	relationship	relationship	NOUN
fumecheng-6927	92	36	between	between	ADP
fumecheng-6927	92	37	force	force	NOUN
fumecheng-6927	92	38	fts(t	fts(t	PROPN
fumecheng-6927	92	39	)	)	PUNCT
fumecheng-6927	92	40	and	and	CCONJ
fumecheng-6927	92	41	indentation	indentation	NOUN
fumecheng-6927	92	42	h(t	h(t	PROPN
fumecheng-6927	92	43	)	)	PUNCT
fumecheng-6927	92	44	is	be	AUX
fumecheng-6927	92	45	[	[	X
fumecheng-6927	92	46	27	27	NUM
fumecheng-6927	92	47	]	]	PUNCT
fumecheng-6927	92	48	:	:	PUNCT
fumecheng-6927	92	49	∑	∑	PUNCT
fumecheng-6927	92	50	𝑞𝑚	𝑞𝑚	VERB
fumecheng-6927	92	51	𝑑𝑚[{ℎ(𝑡)}3/2	𝑑𝑚[{ℎ(𝑡)}3/2	NUM
fumecheng-6927	92	52	]	]	X
fumecheng-6927	92	53	𝑑𝑡𝑚	𝑑𝑡𝑚	ADV
fumecheng-6927	92	54	∞	∞	NUM
fumecheng-6927	92	55	𝑚=0	𝑚=0	PUNCT
fumecheng-6927	93	1	=	=	SYM
fumecheng-6927	93	2	3	3	NUM
fumecheng-6927	93	3	16√𝑅	16√𝑅	NUM
fumecheng-6927	93	4	∑	∑	ADP
fumecheng-6927	93	5	𝑢𝑛	𝑢𝑛	NOUN
fumecheng-6927	93	6	𝑑𝑛𝐹𝑡𝑠(𝑡	𝑑𝑛𝐹𝑡𝑠(𝑡	PROPN
fumecheng-6927	93	7	)	)	PUNCT
fumecheng-6927	93	8	𝑑𝑡𝑛	𝑑𝑡𝑛	NOUN
fumecheng-6927	93	9	∞	∞	NUM
fumecheng-6927	93	10	𝑛=0	𝑛=0	NOUN
fumecheng-6927	93	11	(	(	PUNCT
fumecheng-6927	93	12	8)	8)	NUM
fumecheng-6927	93	13	notice	notice	NOUN
fumecheng-6927	93	14	that	that	SCONJ
fumecheng-6927	93	15	this	this	DET
fumecheng-6927	93	16	equation	equation	NOUN
fumecheng-6927	93	17	is	be	AUX
fumecheng-6927	93	18	very	very	ADV
fumecheng-6927	93	19	similar	similar	ADJ
fumecheng-6927	93	20	to	to	ADP
fumecheng-6927	93	21	eq	eq	NOUN
fumecheng-6927	93	22	.	.	PUNCT
fumecheng-6927	94	1	(	(	PUNCT
fumecheng-6927	94	2	1	1	NUM
fumecheng-6927	94	3	)	)	PUNCT
fumecheng-6927	94	4	,	,	PUNCT
fumecheng-6927	94	5	but	but	CCONJ
fumecheng-6927	94	6	the	the	DET
fumecheng-6927	94	7	stress	stress	NOUN
fumecheng-6927	94	8	has	have	AUX
fumecheng-6927	94	9	been	be	AUX
fumecheng-6927	94	10	substituted	substitute	VERB
fumecheng-6927	94	11	with	with	ADP
fumecheng-6927	94	12	the	the	DET
fumecheng-6927	94	13	force	force	NOUN
fumecheng-6927	94	14	,	,	PUNCT
fumecheng-6927	94	15	and	and	CCONJ
fumecheng-6927	94	16	the	the	DET
fumecheng-6927	94	17	strain	strain	NOUN
fumecheng-6927	94	18	has	have	AUX
fumecheng-6927	94	19	been	be	AUX
fumecheng-6927	94	20	substituted	substitute	VERB
fumecheng-6927	94	21	with	with	ADP
fumecheng-6927	94	22	the	the	DET
fumecheng-6927	94	23	indentation	indentation	NOUN
fumecheng-6927	94	24	.	.	PUNCT
fumecheng-6927	95	1	furthermore	furthermore	ADV
fumecheng-6927	95	2	,	,	PUNCT
fumecheng-6927	95	3	to	to	PART
fumecheng-6927	95	4	account	account	VERB
fumecheng-6927	95	5	for	for	ADP
fumecheng-6927	95	6	the	the	DET
fumecheng-6927	95	7	geometry	geometry	NOUN
fumecheng-6927	95	8	of	of	ADP
fumecheng-6927	95	9	the	the	DET
fumecheng-6927	95	10	system	system	NOUN
fumecheng-6927	95	11	,	,	PUNCT
fumecheng-6927	95	12	there	there	PRON
fumecheng-6927	95	13	is	be	VERB
fumecheng-6927	95	14	a	a	DET
fumecheng-6927	95	15	coefficient	coefficient	NOUN
fumecheng-6927	95	16	on	on	ADP
fumecheng-6927	95	17	the	the	DET
fumecheng-6927	95	18	right	right	ADJ
fumecheng-6927	95	19	-	-	PUNCT
fumecheng-6927	95	20	hand	hand	NOUN
fumecheng-6927	95	21	side	side	NOUN
fumecheng-6927	95	22	that	that	PRON
fumecheng-6927	95	23	depends	depend	VERB
fumecheng-6927	95	24	on	on	ADP
fumecheng-6927	95	25	the	the	DET
fumecheng-6927	95	26	radius	radius	NOUN
fumecheng-6927	95	27	of	of	ADP
fumecheng-6927	95	28	curvature	curvature	NOUN
fumecheng-6927	95	29	of	of	ADP
fumecheng-6927	95	30	the	the	DET
fumecheng-6927	95	31	indenter	indenter	NOUN
fumecheng-6927	95	32	,	,	PUNCT
fumecheng-6927	95	33	and	and	CCONJ
fumecheng-6927	95	34	the	the	DET
fumecheng-6927	95	35	derivatives	derivative	NOUN
fumecheng-6927	95	36	on	on	ADP
fumecheng-6927	95	37	the	the	DET
fumecheng-6927	95	38	left	left	ADJ
fumecheng-6927	95	39	-	-	PUNCT
fumecheng-6927	95	40	hand	hand	NOUN
fumecheng-6927	95	41	side	side	NOUN
fumecheng-6927	95	42	of	of	ADP
fumecheng-6927	95	43	the	the	DET
fumecheng-6927	95	44	equation	equation	NOUN
fumecheng-6927	95	45	are	be	AUX
fumecheng-6927	95	46	taken	take	VERB
fumecheng-6927	95	47	on	on	ADP
fumecheng-6927	95	48	the	the	DET
fumecheng-6927	95	49	indentation	indentation	NOUN
fumecheng-6927	95	50	raised	raise	VERB
fumecheng-6927	95	51	to	to	ADP
fumecheng-6927	95	52	the	the	DET
fumecheng-6927	95	53	power	power	NOUN
fumecheng-6927	95	54	3/2	3/2	NUM
fumecheng-6927	95	55	.	.	PUNCT
fumecheng-6927	96	1	eq	eq	ADP
fumecheng-6927	96	2	.	.	PUNCT
fumecheng-6927	97	1	(	(	PUNCT
fumecheng-6927	97	2	8)	8)	NUM
fumecheng-6927	97	3	assumes	assume	VERB
fumecheng-6927	97	4	that	that	SCONJ
fumecheng-6927	97	5	the	the	DET
fumecheng-6927	97	6	material	material	NOUN
fumecheng-6927	97	7	is	be	AUX
fumecheng-6927	97	8	incompressible	incompressible	ADJ
fumecheng-6927	97	9	with	with	ADP
fumecheng-6927	97	10	a	a	DET
fumecheng-6927	97	11	time	time	NOUN
fumecheng-6927	97	12	-	-	PUNCT
fumecheng-6927	97	13	independent	independent	ADJ
fumecheng-6927	97	14	poisson	poisson	NOUN
fumecheng-6927	97	15	’s	’s	PART
fumecheng-6927	97	16	ratio	ratio	NOUN
fumecheng-6927	97	17			NOUN
fumecheng-6927	98	1	=	=	NOUN
fumecheng-6927	98	2	0.5	0.5	NUM
fumecheng-6927	98	3	)	)	PUNCT
fumecheng-6927	99	1	[	[	X
fumecheng-6927	99	2	27	27	NUM
fumecheng-6927	99	3	,	,	PUNCT
fumecheng-6927	99	4	44	44	NUM
fumecheng-6927	99	5	]	]	PUNCT
fumecheng-6927	99	6	.	.	PUNCT
fumecheng-6927	100	1	with	with	ADP
fumecheng-6927	100	2	a	a	DET
fumecheng-6927	100	3	finite	finite	ADJ
fumecheng-6927	100	4	number	number	NOUN
fumecheng-6927	100	5	of	of	ADP
fumecheng-6927	100	6	n	n	CCONJ
fumecheng-6927	100	7	characteristic	characteristic	ADJ
fumecheng-6927	100	8	times	time	NOUN
fumecheng-6927	100	9	,	,	PUNCT
fumecheng-6927	100	10	this	this	DET
fumecheng-6927	100	11	equation	equation	NOUN
fumecheng-6927	100	12	can	can	AUX
fumecheng-6927	100	13	also	also	ADV
fumecheng-6927	100	14	be	be	AUX
fumecheng-6927	100	15	expressed	express	VERB
fumecheng-6927	100	16	as	as	ADP
fumecheng-6927	100	17	:	:	PUNCT
fumecheng-6927	100	18	𝛼	𝛼	PROPN
fumecheng-6927	100	19	[	[	X
fumecheng-6927	100	20	𝑞0𝑝	𝑞0𝑝	X
fumecheng-6927	100	21	+	+	CCONJ
fumecheng-6927	100	22	𝑞1	𝑞1	PROPN
fumecheng-6927	100	23	𝑑𝑝	𝑑𝑝	ADP
fumecheng-6927	100	24	dt	dt	NOUN
fumecheng-6927	101	1	+	+	NUM
fumecheng-6927	101	2	𝑞2	𝑞2	NOUN
fumecheng-6927	101	3	𝑑2𝑝	𝑑2𝑝	VERB
fumecheng-6927	101	4	𝑑𝑡2	𝑑𝑡2	NOUN
fumecheng-6927	101	5	+	+	PROPN
fumecheng-6927	101	6	.	.	PUNCT
fumecheng-6927	101	7	.	.	PUNCT
fumecheng-6927	101	8	.	.	PUNCT
fumecheng-6927	102	1	+	+	ADV
fumecheng-6927	102	2	𝑞𝑁	𝑞𝑁	PROPN
fumecheng-6927	102	3	𝑑𝑁𝑝	𝑑𝑁𝑝	VERB
fumecheng-6927	102	4	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	102	5	]	]	PUNCT
fumecheng-6927	102	6	=	=	PUNCT
fumecheng-6927	103	1	𝑢0𝐹+𝑢1	𝑢0𝐹+𝑢1	PROPN
fumecheng-6927	103	2	d𝐹	d𝐹	ADJ
fumecheng-6927	103	3	dt	dt	X
fumecheng-6927	104	1	+	+	ADJ
fumecheng-6927	104	2	𝑢2	𝑢2	PROPN
fumecheng-6927	104	3	𝑑2𝐹	𝑑2𝐹	ADP
fumecheng-6927	104	4	𝑑𝑡2	𝑑𝑡2	NOUN
fumecheng-6927	104	5	+	+	PROPN
fumecheng-6927	104	6	.	.	PUNCT
fumecheng-6927	104	7	.	.	PUNCT
fumecheng-6927	104	8	.	.	PUNCT
fumecheng-6927	105	1	+	+	PUNCT
fumecheng-6927	105	2	𝑢𝑁	𝑢𝑁	NOUN
fumecheng-6927	105	3	𝑑𝑁𝐹	𝑑𝑁𝐹	NUM
fumecheng-6927	105	4	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	105	5	(	(	PUNCT
fumecheng-6927	105	6	9	9	NUM
fumecheng-6927	105	7	)	)	PUNCT
fumecheng-6927	105	8	where	where	SCONJ
fumecheng-6927	105	9			NOUN
fumecheng-6927	105	10	=	=	SYM
fumecheng-6927	105	11	16√𝑅	16√𝑅	NUM
fumecheng-6927	105	12	3	3	NUM
fumecheng-6927	105	13	,	,	PUNCT
fumecheng-6927	105	14	and	and	CCONJ
fumecheng-6927	105	15	p	p	X
fumecheng-6927	105	16	=	=	PROPN
fumecheng-6927	105	17	h(t)3/2	h(t)3/2	NUM
fumecheng-6927	105	18	.	.	PUNCT
fumecheng-6927	106	1	eq	eq	ADP
fumecheng-6927	106	2	.	.	PUNCT
fumecheng-6927	107	1	(	(	PUNCT
fumecheng-6927	107	2	9	9	NUM
fumecheng-6927	107	3	)	)	PUNCT
fumecheng-6927	107	4	is	be	AUX
fumecheng-6927	107	5	our	our	PRON
fumecheng-6927	107	6	target	target	NOUN
fumecheng-6927	107	7	governing	govern	VERB
fumecheng-6927	107	8	equation	equation	NOUN
fumecheng-6927	107	9	that	that	PRON
fumecheng-6927	107	10	describes	describe	VERB
fumecheng-6927	107	11	the	the	DET
fumecheng-6927	107	12	force	force	NOUN
fumecheng-6927	107	13	-	-	PUNCT
fumecheng-6927	107	14	indentation	indentation	NOUN
fumecheng-6927	107	15	relationship	relationship	NOUN
fumecheng-6927	107	16	of	of	ADP
fumecheng-6927	107	17	a	a	DET
fumecheng-6927	107	18	parabolic	parabolic	ADJ
fumecheng-6927	107	19	tip	tip	NOUN
fumecheng-6927	107	20	penetrating	penetrate	VERB
fumecheng-6927	107	21	a	a	DET
fumecheng-6927	107	22	viscoelastic	viscoelastic	ADJ
fumecheng-6927	107	23	surface	surface	NOUN
fumecheng-6927	107	24	.	.	PUNCT
fumecheng-6927	108	1	the	the	DET
fumecheng-6927	108	2	differential	differential	ADJ
fumecheng-6927	108	3	coefficients	coefficient	NOUN
fumecheng-6927	108	4	(	(	PUNCT
fumecheng-6927	108	5	u0	u0	ADJ
fumecheng-6927	108	6	,	,	PUNCT
fumecheng-6927	108	7	u1	u1	PROPN
fumecheng-6927	108	8	…	…	SYM
fumecheng-6927	108	9	,	,	PUNCT
fumecheng-6927	108	10	un	un	PROPN
fumecheng-6927	108	11	,	,	PUNCT
fumecheng-6927	108	12	q0	q0	PROPN
fumecheng-6927	108	13	,	,	PUNCT
fumecheng-6927	108	14	q1	q1	PROPN
fumecheng-6927	108	15	…	…	NUM
fumecheng-6927	108	16	,	,	PUNCT
fumecheng-6927	108	17	qn	qn	NOUN
fumecheng-6927	108	18	)	)	PUNCT
fumecheng-6927	108	19	will	will	AUX
fumecheng-6927	108	20	depend	depend	VERB
fumecheng-6927	108	21	on	on	ADP
fumecheng-6927	108	22	the	the	DET
fumecheng-6927	108	23	numerical	numerical	ADJ
fumecheng-6927	108	24	values	value	NOUN
fumecheng-6927	108	25	of	of	ADP
fumecheng-6927	108	26	the	the	DET
fumecheng-6927	108	27	spring	spring	NOUN
fumecheng-6927	108	28	moduli	modulus	NOUN
fumecheng-6927	108	29	and	and	CCONJ
fumecheng-6927	108	30	dashpot	dashpot	ADJ
fumecheng-6927	108	31	coefficients	coefficient	NOUN
fumecheng-6927	108	32	in	in	ADP
fumecheng-6927	108	33	the	the	DET
fumecheng-6927	108	34	chosen	choose	VERB
fumecheng-6927	108	35	model	model	NOUN
fumecheng-6927	108	36	(	(	PUNCT
fumecheng-6927	108	37	fig	fig	NOUN
fumecheng-6927	108	38	.	.	PUNCT
fumecheng-6927	109	1	1	1	NUM
fumecheng-6927	109	2	)	)	PUNCT
fumecheng-6927	109	3	.	.	PUNCT
fumecheng-6927	110	1	the	the	DET
fumecheng-6927	110	2	next	next	ADJ
fumecheng-6927	110	3	two	two	NUM
fumecheng-6927	110	4	sections	section	NOUN
fumecheng-6927	110	5	will	will	AUX
fumecheng-6927	110	6	cover	cover	VERB
fumecheng-6927	110	7	the	the	DET
fumecheng-6927	110	8	process	process	NOUN
fumecheng-6927	110	9	of	of	ADP
fumecheng-6927	110	10	finding	find	VERB
fumecheng-6927	110	11	these	these	DET
fumecheng-6927	110	12	coefficients	coefficient	NOUN
fumecheng-6927	110	13	.	.	PUNCT
fumecheng-6927	111	1	once	once	ADV
fumecheng-6927	111	2	this	this	PRON
fumecheng-6927	111	3	is	be	AUX
fumecheng-6927	111	4	done	do	VERB
fumecheng-6927	111	5	,	,	PUNCT
fumecheng-6927	111	6	the	the	DET
fumecheng-6927	111	7	governing	govern	VERB
fumecheng-6927	111	8	equation	equation	NOUN
fumecheng-6927	111	9	is	be	AUX
fumecheng-6927	111	10	completely	completely	ADV
fumecheng-6927	111	11	set	set	VERB
fumecheng-6927	111	12	up	up	ADP
fumecheng-6927	111	13	to	to	PART
fumecheng-6927	111	14	be	be	AUX
fumecheng-6927	111	15	solved	solve	VERB
fumecheng-6927	111	16	numerically	numerically	ADV
fumecheng-6927	111	17	.	.	PUNCT
fumecheng-6927	112	1	fig	fig	NOUN
fumecheng-6927	112	2	.	.	PUNCT
fumecheng-6927	113	1	2	2	NUM
fumecheng-6927	113	2	lays	lay	VERB
fumecheng-6927	113	3	out	out	ADP
fumecheng-6927	113	4	the	the	DET
fumecheng-6927	113	5	general	general	ADJ
fumecheng-6927	113	6	process	process	NOUN
fumecheng-6927	113	7	of	of	ADP
fumecheng-6927	113	8	viscoelastic	viscoelastic	NOUN
fumecheng-6927	113	9	modeling	modeling	NOUN
fumecheng-6927	113	10	that	that	PRON
fumecheng-6927	113	11	we	we	PRON
fumecheng-6927	113	12	have	have	AUX
fumecheng-6927	113	13	discussed	discuss	VERB
fumecheng-6927	113	14	so	so	ADV
fumecheng-6927	113	15	far	far	ADV
fumecheng-6927	113	16	,	,	PUNCT
fumecheng-6927	113	17	as	as	ADV
fumecheng-6927	113	18	well	well	ADV
fumecheng-6927	113	19	as	as	ADP
fumecheng-6927	113	20	the	the	DET
fumecheng-6927	113	21	remaining	remain	VERB
fumecheng-6927	113	22	steps	step	NOUN
fumecheng-6927	113	23	detailed	detail	VERB
fumecheng-6927	113	24	in	in	ADP
fumecheng-6927	113	25	next	next	ADJ
fumecheng-6927	113	26	sections	section	NOUN
fumecheng-6927	113	27	.	.	PUNCT
fumecheng-6927	114	1	138	138	NUM
fumecheng-6927	114	2	m.	m.	NOUN
fumecheng-6927	114	3	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	114	4	,	,	PUNCT
fumecheng-6927	114	5	e.	e.	PROPN
fumecheng-6927	114	6	a.	a.	PROPN
fumecheng-6927	114	7	lópez	lópez	PROPN
fumecheng-6927	114	8	-	-	PUNCT
fumecheng-6927	114	9	guerra	guerra	PROPN
fumecheng-6927	114	10	,	,	PUNCT
fumecheng-6927	114	11	s.	s.	PROPN
fumecheng-6927	114	12	d.	d.	PROPN
fumecheng-6927	114	13	solares	solare	VERB
fumecheng-6927	114	14	as	as	ADP
fumecheng-6927	114	15	a	a	DET
fumecheng-6927	114	16	final	final	ADJ
fumecheng-6927	114	17	note	note	NOUN
fumecheng-6927	114	18	,	,	PUNCT
fumecheng-6927	114	19	the	the	DET
fumecheng-6927	114	20	correspondence	correspondence	NOUN
fumecheng-6927	114	21	principle	principle	NOUN
fumecheng-6927	114	22	is	be	AUX
fumecheng-6927	114	23	formally	formally	ADV
fumecheng-6927	114	24	invalidated	invalidated	ADJ
fumecheng-6927	114	25	for	for	ADP
fumecheng-6927	114	26	the	the	DET
fumecheng-6927	114	27	retract	retract	ADJ
fumecheng-6927	114	28	portion	portion	NOUN
fumecheng-6927	114	29	[	[	X
fumecheng-6927	114	30	28	28	NUM
fumecheng-6927	114	31	,	,	PUNCT
fumecheng-6927	114	32	47	47	NUM
fumecheng-6927	114	33	]	]	PUNCT
fumecheng-6927	114	34	,	,	PUNCT
fumecheng-6927	114	35	i.e.	i.e.	X
fumecheng-6927	114	36	,	,	PUNCT
fumecheng-6927	114	37	when	when	SCONJ
fumecheng-6927	114	38	the	the	DET
fumecheng-6927	114	39	afm	afm	PROPN
fumecheng-6927	114	40	tip	tip	NOUN
fumecheng-6927	114	41	is	be	AUX
fumecheng-6927	114	42	retracting	retract	VERB
fumecheng-6927	114	43	from	from	ADP
fumecheng-6927	114	44	the	the	DET
fumecheng-6927	114	45	surface	surface	NOUN
fumecheng-6927	114	46	but	but	CCONJ
fumecheng-6927	114	47	still	still	ADV
fumecheng-6927	114	48	in	in	ADP
fumecheng-6927	114	49	contact	contact	NOUN
fumecheng-6927	114	50	with	with	ADP
fumecheng-6927	114	51	it	it	PRON
fumecheng-6927	114	52	.	.	PUNCT
fumecheng-6927	115	1	we	we	PRON
fumecheng-6927	115	2	observed	observe	VERB
fumecheng-6927	115	3	that	that	SCONJ
fumecheng-6927	115	4	for	for	ADP
fumecheng-6927	115	5	the	the	DET
fumecheng-6927	115	6	timescales	timescale	NOUN
fumecheng-6927	115	7	associated	associate	VERB
fumecheng-6927	115	8	with	with	ADP
fumecheng-6927	115	9	afm	afm	PROPN
fumecheng-6927	115	10	experiments	experiment	NOUN
fumecheng-6927	115	11	disregarding	disregard	VERB
fumecheng-6927	115	12	this	this	DET
fumecheng-6927	115	13	fact	fact	NOUN
fumecheng-6927	115	14	generally	generally	ADV
fumecheng-6927	115	15	introduces	introduce	VERB
fumecheng-6927	115	16	only	only	ADV
fumecheng-6927	115	17	very	very	ADV
fumecheng-6927	115	18	small	small	ADJ
fumecheng-6927	115	19	inaccuracies	inaccuracy	NOUN
fumecheng-6927	115	20	,	,	PUNCT
fumecheng-6927	115	21	so	so	SCONJ
fumecheng-6927	115	22	we	we	PRON
fumecheng-6927	115	23	will	will	AUX
fumecheng-6927	115	24	omit	omit	VERB
fumecheng-6927	115	25	it	it	PRON
fumecheng-6927	115	26	within	within	ADP
fumecheng-6927	115	27	this	this	DET
fumecheng-6927	115	28	manuscript	manuscript	NOUN
fumecheng-6927	115	29	.	.	PUNCT
fumecheng-6927	116	1	to	to	PART
fumecheng-6927	116	2	include	include	VERB
fumecheng-6927	116	3	it	it	PRON
fumecheng-6927	116	4	,	,	PUNCT
fumecheng-6927	116	5	more	more	ADV
fumecheng-6927	116	6	complex	complex	ADJ
fumecheng-6927	116	7	contact	contact	NOUN
fumecheng-6927	116	8	-	-	PUNCT
fumecheng-6927	116	9	mechanics	mechanic	NOUN
fumecheng-6927	116	10	schemes	scheme	NOUN
fumecheng-6927	116	11	need	need	VERB
fumecheng-6927	116	12	to	to	PART
fumecheng-6927	116	13	be	be	AUX
fumecheng-6927	116	14	considered	consider	VERB
fumecheng-6927	116	15	[	[	X
fumecheng-6927	116	16	28	28	NUM
fumecheng-6927	116	17	,	,	PUNCT
fumecheng-6927	116	18	48	48	NUM
fumecheng-6927	116	19	]	]	PUNCT
fumecheng-6927	116	20	,	,	PUNCT
fumecheng-6927	116	21	as	as	SCONJ
fumecheng-6927	116	22	it	it	PRON
fumecheng-6927	116	23	has	have	AUX
fumecheng-6927	116	24	been	be	AUX
fumecheng-6927	116	25	done	do	VERB
fumecheng-6927	116	26	on	on	ADP
fumecheng-6927	116	27	some	some	DET
fumecheng-6927	116	28	recent	recent	ADJ
fumecheng-6927	116	29	afm	afm	PROPN
fumecheng-6927	116	30	studies	study	NOUN
fumecheng-6927	116	31	[	[	X
fumecheng-6927	116	32	16	16	NUM
fumecheng-6927	116	33	,	,	PUNCT
fumecheng-6927	116	34	21	21	NUM
fumecheng-6927	116	35	]	]	PUNCT
fumecheng-6927	116	36	.	.	PUNCT
fumecheng-6927	117	1	fig	fig	NOUN
fumecheng-6927	117	2	.	.	PUNCT
fumecheng-6927	118	1	2	2	NUM
fumecheng-6927	118	2	summary	summary	NOUN
fumecheng-6927	118	3	of	of	ADP
fumecheng-6927	118	4	the	the	DET
fumecheng-6927	118	5	main	main	ADJ
fumecheng-6927	118	6	steps	step	NOUN
fumecheng-6927	118	7	involved	involve	VERB
fumecheng-6927	118	8	in	in	ADP
fumecheng-6927	118	9	the	the	DET
fumecheng-6927	118	10	modeling	modeling	NOUN
fumecheng-6927	118	11	of	of	ADP
fumecheng-6927	118	12	a	a	DET
fumecheng-6927	118	13	physical	physical	ADJ
fumecheng-6927	118	14	problem	problem	NOUN
fumecheng-6927	118	15	involving	involve	VERB
fumecheng-6927	118	16	the	the	DET
fumecheng-6927	118	17	deformation	deformation	NOUN
fumecheng-6927	118	18	of	of	ADP
fumecheng-6927	118	19	a	a	DET
fumecheng-6927	118	20	viscoelastic	viscoelastic	ADJ
fumecheng-6927	118	21	material	material	NOUN
fumecheng-6927	118	22	.	.	PUNCT
fumecheng-6927	119	1	these	these	DET
fumecheng-6927	119	2	steps	step	NOUN
fumecheng-6927	119	3	are	be	AUX
fumecheng-6927	119	4	detailed	detail	VERB
fumecheng-6927	119	5	through	through	ADP
fumecheng-6927	119	6	sections	section	NOUN
fumecheng-6927	119	7	2.1	2.1	NUM
fumecheng-6927	119	8	to	to	ADP
fumecheng-6927	119	9	2.5	2.5	NUM
fumecheng-6927	119	10	of	of	ADP
fumecheng-6927	119	11	this	this	DET
fumecheng-6927	119	12	manuscript	manuscript	NOUN
fumecheng-6927	119	13	.	.	PUNCT
fumecheng-6927	120	1	guidelines	guideline	NOUN
fumecheng-6927	120	2	to	to	PART
fumecheng-6927	120	3	simulate	simulate	VERB
fumecheng-6927	120	4	linear	linear	ADJ
fumecheng-6927	120	5	viscoelastic	viscoelastic	NOUN
fumecheng-6927	120	6	materials	material	NOUN
fumecheng-6927	120	7	with	with	ADP
fumecheng-6927	120	8	an	an	DET
fumecheng-6927	120	9	arbitrary	arbitrary	ADJ
fumecheng-6927	120	10	number	number	NOUN
fumecheng-6927	120	11	of	of	ADP
fumecheng-6927	120	12	characteristic	characteristic	ADJ
fumecheng-6927	120	13	times	time	NOUN
fumecheng-6927	120	14	...	...	PUNCT
fumecheng-6927	120	15	139	139	NUM
fumecheng-6927	120	16	2.3	2.3	NUM
fumecheng-6927	120	17	.	.	PUNCT
fumecheng-6927	121	1	obtaining	obtain	VERB
fumecheng-6927	121	2	the	the	DET
fumecheng-6927	121	3	material	material	NOUN
fumecheng-6927	121	4	transform	transform	NOUN
fumecheng-6927	121	5	for	for	ADP
fumecheng-6927	121	6	the	the	DET
fumecheng-6927	121	7	viscoelastic	viscoelastic	ADJ
fumecheng-6927	121	8	model	model	NOUN
fumecheng-6927	121	9	chosen	choose	VERB
fumecheng-6927	121	10	in	in	ADP
fumecheng-6927	121	11	the	the	DET
fumecheng-6927	121	12	last	last	ADJ
fumecheng-6927	121	13	section	section	NOUN
fumecheng-6927	121	14	we	we	PRON
fumecheng-6927	121	15	targeted	target	VERB
fumecheng-6927	121	16	the	the	DET
fumecheng-6927	121	17	governing	govern	VERB
fumecheng-6927	121	18	equation	equation	NOUN
fumecheng-6927	121	19	for	for	ADP
fumecheng-6927	121	20	the	the	DET
fumecheng-6927	121	21	contact	contact	NOUN
fumecheng-6927	121	22	mechanics	mechanic	NOUN
fumecheng-6927	121	23	problem	problem	NOUN
fumecheng-6927	121	24	of	of	ADP
fumecheng-6927	121	25	a	a	DET
fumecheng-6927	121	26	parabolic	parabolic	ADJ
fumecheng-6927	121	27	tip	tip	NOUN
fumecheng-6927	121	28	penetrating	penetrate	VERB
fumecheng-6927	121	29	a	a	DET
fumecheng-6927	121	30	viscoelastic	viscoelastic	ADJ
fumecheng-6927	121	31	sample	sample	NOUN
fumecheng-6927	121	32	,	,	PUNCT
fumecheng-6927	121	33	which	which	PRON
fumecheng-6927	121	34	can	can	AUX
fumecheng-6927	121	35	be	be	AUX
fumecheng-6927	121	36	solved	solve	VERB
fumecheng-6927	121	37	with	with	ADP
fumecheng-6927	121	38	eq	eq	NOUN
fumecheng-6927	121	39	.	.	PUNCT
fumecheng-6927	122	1	(	(	PUNCT
fumecheng-6927	122	2	9	9	NUM
fumecheng-6927	122	3	)	)	PUNCT
fumecheng-6927	122	4	.	.	PUNCT
fumecheng-6927	123	1	for	for	ADP
fumecheng-6927	123	2	simplicity	simplicity	NOUN
fumecheng-6927	123	3	in	in	ADP
fumecheng-6927	123	4	our	our	PRON
fumecheng-6927	123	5	illustration	illustration	NOUN
fumecheng-6927	123	6	of	of	ADP
fumecheng-6927	123	7	the	the	DET
fumecheng-6927	123	8	method	method	NOUN
fumecheng-6927	123	9	,	,	PUNCT
fumecheng-6927	123	10	we	we	PRON
fumecheng-6927	123	11	will	will	AUX
fumecheng-6927	123	12	now	now	ADV
fumecheng-6927	123	13	assume	assume	VERB
fumecheng-6927	123	14	that	that	SCONJ
fumecheng-6927	123	15	the	the	DET
fumecheng-6927	123	16	viscoelastic	viscoelastic	NOUN
fumecheng-6927	123	17	model	model	NOUN
fumecheng-6927	123	18	chosen	choose	VERB
fumecheng-6927	123	19	has	have	VERB
fumecheng-6927	123	20	only	only	ADV
fumecheng-6927	123	21	one	one	NUM
fumecheng-6927	123	22	characteristic	characteristic	ADJ
fumecheng-6927	123	23	time	time	NOUN
fumecheng-6927	123	24	:	:	PUNCT
fumecheng-6927	123	25	the	the	DET
fumecheng-6927	123	26	standard	standard	ADJ
fumecheng-6927	123	27	linear	linear	PROPN
fumecheng-6927	123	28	solid	solid	ADJ
fumecheng-6927	123	29	(	(	PUNCT
fumecheng-6927	123	30	sls	sls	PROPN
fumecheng-6927	123	31	)	)	PUNCT
fumecheng-6927	123	32	model	model	NOUN
fumecheng-6927	123	33	.	.	PUNCT
fumecheng-6927	124	1	also	also	ADV
fumecheng-6927	124	2	,	,	PUNCT
fumecheng-6927	124	3	it	it	PRON
fumecheng-6927	124	4	will	will	AUX
fumecheng-6927	124	5	be	be	AUX
fumecheng-6927	124	6	assumed	assume	VERB
fumecheng-6927	124	7	that	that	SCONJ
fumecheng-6927	124	8	deformation	deformation	NOUN
fumecheng-6927	124	9	can	can	AUX
fumecheng-6927	124	10	be	be	AUX
fumecheng-6927	124	11	regarded	regard	VERB
fumecheng-6927	124	12	as	as	ADP
fumecheng-6927	124	13	input	input	NOUN
fumecheng-6927	124	14	,	,	PUNCT
fumecheng-6927	124	15	such	such	ADJ
fumecheng-6927	124	16	that	that	SCONJ
fumecheng-6927	124	17	the	the	DET
fumecheng-6927	124	18	maxwell	maxwell	PROPN
fumecheng-6927	124	19	-	-	PUNCT
fumecheng-6927	124	20	sls	sls	PROPN
fumecheng-6927	124	21	model	model	NOUN
fumecheng-6927	124	22	will	will	AUX
fumecheng-6927	124	23	be	be	AUX
fumecheng-6927	124	24	the	the	DET
fumecheng-6927	124	25	most	most	ADV
fumecheng-6927	124	26	convenient	convenient	ADJ
fumecheng-6927	124	27	model	model	NOUN
fumecheng-6927	124	28	to	to	PART
fumecheng-6927	124	29	use	use	VERB
fumecheng-6927	124	30	.	.	PUNCT
fumecheng-6927	125	1	specifically	specifically	ADV
fumecheng-6927	125	2	,	,	PUNCT
fumecheng-6927	125	3	the	the	DET
fumecheng-6927	125	4	maxwell	maxwell	PROPN
fumecheng-6927	125	5	-	-	PUNCT
fumecheng-6927	125	6	sls	sls	PROPN
fumecheng-6927	125	7	model	model	NOUN
fumecheng-6927	125	8	is	be	AUX
fumecheng-6927	125	9	a	a	DET
fumecheng-6927	125	10	three	three	NUM
fumecheng-6927	125	11	-	-	PUNCT
fumecheng-6927	125	12	parameter	parameter	NOUN
fumecheng-6927	125	13	model	model	NOUN
fumecheng-6927	125	14	consisting	consist	VERB
fumecheng-6927	125	15	of	of	ADP
fumecheng-6927	125	16	one	one	NUM
fumecheng-6927	125	17	spring	spring	NOUN
fumecheng-6927	125	18	arm	arm	NOUN
fumecheng-6927	125	19	with	with	ADP
fumecheng-6927	125	20	the	the	DET
fumecheng-6927	125	21	equilibrium	equilibrium	NOUN
fumecheng-6927	125	22	modulus	modulus	NOUN
fumecheng-6927	125	23	ge	ge	PROPN
fumecheng-6927	125	24	in	in	ADP
fumecheng-6927	125	25	parallel	parallel	NOUN
fumecheng-6927	125	26	with	with	ADP
fumecheng-6927	125	27	one	one	NUM
fumecheng-6927	125	28	maxwell	maxwell	NOUN
fumecheng-6927	125	29	arm	arm	NOUN
fumecheng-6927	125	30	(	(	PUNCT
fumecheng-6927	125	31	an	an	DET
fumecheng-6927	125	32	arm	arm	NOUN
fumecheng-6927	125	33	with	with	ADP
fumecheng-6927	125	34	a	a	DET
fumecheng-6927	125	35	spring	spring	NOUN
fumecheng-6927	125	36	and	and	CCONJ
fumecheng-6927	125	37	a	a	DET
fumecheng-6927	125	38	dashpot	dashpot	NOUN
fumecheng-6927	125	39	in	in	ADP
fumecheng-6927	125	40	series	series	NOUN
fumecheng-6927	125	41	)	)	PUNCT
fumecheng-6927	125	42	.	.	PUNCT
fumecheng-6927	126	1	the	the	DET
fumecheng-6927	126	2	maxwell	maxwell	PROPN
fumecheng-6927	126	3	-	-	PUNCT
fumecheng-6927	126	4	sls	sls	PROPN
fumecheng-6927	126	5	model	model	NOUN
fumecheng-6927	126	6	can	can	AUX
fumecheng-6927	126	7	be	be	AUX
fumecheng-6927	126	8	visualized	visualize	VERB
fumecheng-6927	126	9	by	by	ADP
fumecheng-6927	126	10	truncating	truncate	VERB
fumecheng-6927	126	11	fig	fig	NOUN
fumecheng-6927	126	12	.	.	PUNCT
fumecheng-6927	127	1	1a	1a	NOUN
fumecheng-6927	127	2	to	to	PART
fumecheng-6927	127	3	contain	contain	VERB
fumecheng-6927	127	4	only	only	ADV
fumecheng-6927	127	5	one	one	NUM
fumecheng-6927	127	6	maxwell	maxwell	NOUN
fumecheng-6927	127	7	arm	arm	NOUN
fumecheng-6927	127	8	(	(	PUNCT
fumecheng-6927	127	9	that	that	PRON
fumecheng-6927	127	10	is	is	ADV
fumecheng-6927	127	11	,	,	PUNCT
fumecheng-6927	127	12	setting	set	VERB
fumecheng-6927	127	13	n	n	X
fumecheng-6927	127	14	=	=	SYM
fumecheng-6927	127	15	1	1	NUM
fumecheng-6927	127	16	)	)	PUNCT
fumecheng-6927	127	17	.	.	PUNCT
fumecheng-6927	128	1	after	after	ADP
fumecheng-6927	128	2	selecting	select	VERB
fumecheng-6927	128	3	an	an	DET
fumecheng-6927	128	4	adequate	adequate	ADJ
fumecheng-6927	128	5	model	model	NOUN
fumecheng-6927	128	6	(	(	PUNCT
fumecheng-6927	128	7	e.g.	e.g.	ADV
fumecheng-6927	128	8	,	,	PUNCT
fumecheng-6927	128	9	maxwell	maxwell	PROPN
fumecheng-6927	128	10	-	-	PUNCT
fumecheng-6927	128	11	sls	sls	PROPN
fumecheng-6927	128	12	)	)	PUNCT
fumecheng-6927	128	13	and	and	CCONJ
fumecheng-6927	128	14	selecting	select	VERB
fumecheng-6927	128	15	the	the	DET
fumecheng-6927	128	16	appropriate	appropriate	ADJ
fumecheng-6927	128	17	constitutive	constitutive	ADJ
fumecheng-6927	128	18	equation	equation	NOUN
fumecheng-6927	128	19	(	(	PUNCT
fumecheng-6927	128	20	e.g.	e.g.	ADV
fumecheng-6927	128	21	,	,	PUNCT
fumecheng-6927	128	22	eq	eq	NOUN
fumecheng-6927	128	23	.	.	PUNCT
fumecheng-6927	129	1	(	(	PUNCT
fumecheng-6927	129	2	9	9	NUM
fumecheng-6927	129	3	)	)	PUNCT
fumecheng-6927	129	4	)	)	PUNCT
fumecheng-6927	130	1	describing	describe	VERB
fumecheng-6927	130	2	the	the	DET
fumecheng-6927	130	3	force	force	NOUN
fumecheng-6927	130	4	/	/	SYM
fumecheng-6927	130	5	deformation	deformation	NOUN
fumecheng-6927	130	6	relationship	relationship	NOUN
fumecheng-6927	130	7	,	,	PUNCT
fumecheng-6927	130	8	the	the	DET
fumecheng-6927	130	9	next	next	ADJ
fumecheng-6927	130	10	step	step	NOUN
fumecheng-6927	130	11	is	be	AUX
fumecheng-6927	130	12	to	to	PART
fumecheng-6927	130	13	obtain	obtain	VERB
fumecheng-6927	130	14	the	the	DET
fumecheng-6927	130	15	material	material	NOUN
fumecheng-6927	130	16	transform	transform	NOUN
fumecheng-6927	130	17	for	for	ADP
fumecheng-6927	130	18	the	the	DET
fumecheng-6927	130	19	selected	select	VERB
fumecheng-6927	130	20	viscoelastic	viscoelastic	NOUN
fumecheng-6927	130	21	model	model	NOUN
fumecheng-6927	130	22	.	.	PUNCT
fumecheng-6927	131	1	the	the	DET
fumecheng-6927	131	2	concept	concept	NOUN
fumecheng-6927	131	3	of	of	ADP
fumecheng-6927	131	4	material	material	NOUN
fumecheng-6927	131	5	transform	transform	NOUN
fumecheng-6927	131	6	was	be	AUX
fumecheng-6927	131	7	introduced	introduce	VERB
fumecheng-6927	131	8	in	in	ADP
fumecheng-6927	131	9	section	section	NOUN
fumecheng-6927	131	10	2.1	2.1	NUM
fumecheng-6927	131	11	.	.	PUNCT
fumecheng-6927	132	1	as	as	SCONJ
fumecheng-6927	132	2	discussed	discuss	VERB
fumecheng-6927	132	3	there	there	ADV
fumecheng-6927	132	4	,	,	PUNCT
fumecheng-6927	132	5	obtaining	obtain	VERB
fumecheng-6927	132	6	the	the	DET
fumecheng-6927	132	7	material	material	NOUN
fumecheng-6927	132	8	transform	transform	NOUN
fumecheng-6927	132	9	expression	expression	NOUN
fumecheng-6927	132	10	for	for	ADP
fumecheng-6927	132	11	a	a	DET
fumecheng-6927	132	12	given	give	VERB
fumecheng-6927	132	13	model	model	NOUN
fumecheng-6927	132	14	involves	involve	VERB
fumecheng-6927	132	15	an	an	DET
fumecheng-6927	132	16	analog	analog	NOUN
fumecheng-6927	132	17	process	process	NOUN
fumecheng-6927	132	18	to	to	ADP
fumecheng-6927	132	19	formulating	formulate	VERB
fumecheng-6927	132	20	mesh	mesh	NOUN
fumecheng-6927	132	21	equations	equation	NOUN
fumecheng-6927	132	22	in	in	ADP
fumecheng-6927	132	23	electric	electric	ADJ
fumecheng-6927	132	24	circuit	circuit	NOUN
fumecheng-6927	132	25	theory	theory	NOUN
fumecheng-6927	132	26	.	.	PUNCT
fumecheng-6927	133	1	details	detail	NOUN
fumecheng-6927	133	2	of	of	ADP
fumecheng-6927	133	3	this	this	DET
fumecheng-6927	133	4	process	process	NOUN
fumecheng-6927	133	5	can	can	AUX
fumecheng-6927	133	6	be	be	AUX
fumecheng-6927	133	7	found	find	VERB
fumecheng-6927	133	8	in	in	ADP
fumecheng-6927	133	9	the	the	DET
fumecheng-6927	133	10	literature	literature	NOUN
fumecheng-6927	133	11	[	[	X
fumecheng-6927	133	12	2	2	NUM
fumecheng-6927	133	13	,	,	PUNCT
fumecheng-6927	133	14	41	41	NUM
fumecheng-6927	133	15	]	]	PUNCT
fumecheng-6927	133	16	.	.	PUNCT
fumecheng-6927	134	1	here	here	ADV
fumecheng-6927	134	2	,	,	PUNCT
fumecheng-6927	134	3	for	for	ADP
fumecheng-6927	134	4	simplicity	simplicity	NOUN
fumecheng-6927	134	5	,	,	PUNCT
fumecheng-6927	134	6	general	general	ADJ
fumecheng-6927	134	7	rules	rule	NOUN
fumecheng-6927	134	8	are	be	AUX
fumecheng-6927	134	9	given	give	VERB
fumecheng-6927	134	10	as	as	ADP
fumecheng-6927	134	11	a	a	DET
fumecheng-6927	134	12	recipe	recipe	NOUN
fumecheng-6927	134	13	,	,	PUNCT
fumecheng-6927	134	14	without	without	ADP
fumecheng-6927	134	15	discussing	discuss	VERB
fumecheng-6927	134	16	the	the	DET
fumecheng-6927	134	17	mathematical	mathematical	ADJ
fumecheng-6927	134	18	or	or	CCONJ
fumecheng-6927	134	19	physical	physical	ADJ
fumecheng-6927	134	20	justification	justification	NOUN
fumecheng-6927	134	21	.	.	PUNCT
fumecheng-6927	135	1	these	these	DET
fumecheng-6927	135	2	rules	rule	NOUN
fumecheng-6927	135	3	for	for	ADP
fumecheng-6927	135	4	obtaining	obtain	VERB
fumecheng-6927	135	5	the	the	DET
fumecheng-6927	135	6	material	material	NOUN
fumecheng-6927	135	7	transform	transform	NOUN
fumecheng-6927	135	8	are	be	AUX
fumecheng-6927	135	9	as	as	SCONJ
fumecheng-6927	135	10	follows	follow	VERB
fumecheng-6927	135	11	:	:	PUNCT
fumecheng-6927	135	12	1	1	X
fumecheng-6927	135	13	)	)	PUNCT
fumecheng-6927	135	14	relaxances	relaxance	NOUN
fumecheng-6927	135	15	are	be	AUX
fumecheng-6927	135	16	added	add	VERB
fumecheng-6927	135	17	up	up	ADP
fumecheng-6927	135	18	in	in	ADP
fumecheng-6927	135	19	parallel	parallel	NOUN
fumecheng-6927	135	20	.	.	PUNCT
fumecheng-6927	136	1	for	for	ADP
fumecheng-6927	136	2	example	example	NOUN
fumecheng-6927	136	3	,	,	PUNCT
fumecheng-6927	136	4	for	for	ADP
fumecheng-6927	136	5	the	the	DET
fumecheng-6927	136	6	maxwell	maxwell	PROPN
fumecheng-6927	136	7	-	-	PUNCT
fumecheng-6927	136	8	sls	sls	PROPN
fumecheng-6927	136	9	model	model	NOUN
fumecheng-6927	136	10	,	,	PUNCT
fumecheng-6927	136	11	to	to	PART
fumecheng-6927	136	12	obtain	obtain	VERB
fumecheng-6927	136	13	the	the	DET
fumecheng-6927	136	14	overall	overall	ADJ
fumecheng-6927	136	15	relaxance	relaxance	NOUN
fumecheng-6927	136	16	of	of	ADP
fumecheng-6927	136	17	the	the	DET
fumecheng-6927	136	18	model	model	NOUN
fumecheng-6927	136	19	we	we	PRON
fumecheng-6927	136	20	need	need	VERB
fumecheng-6927	136	21	to	to	PART
fumecheng-6927	136	22	add	add	VERB
fumecheng-6927	136	23	up	up	ADP
fumecheng-6927	136	24	the	the	DET
fumecheng-6927	136	25	individual	individual	ADJ
fumecheng-6927	136	26	relaxances	relaxance	NOUN
fumecheng-6927	136	27	of	of	ADP
fumecheng-6927	136	28	the	the	DET
fumecheng-6927	136	29	individual	individual	ADJ
fumecheng-6927	136	30	elements	element	NOUN
fumecheng-6927	136	31	.	.	PUNCT
fumecheng-6927	137	1	in	in	ADP
fumecheng-6927	137	2	this	this	DET
fumecheng-6927	137	3	case	case	NOUN
fumecheng-6927	137	4	,	,	PUNCT
fumecheng-6927	137	5	we	we	PRON
fumecheng-6927	137	6	need	need	VERB
fumecheng-6927	137	7	to	to	PART
fumecheng-6927	137	8	add	add	VERB
fumecheng-6927	137	9	up	up	ADP
fumecheng-6927	137	10	the	the	DET
fumecheng-6927	137	11	relaxance	relaxance	NOUN
fumecheng-6927	137	12	of	of	ADP
fumecheng-6927	137	13	the	the	DET
fumecheng-6927	137	14	isolated	isolated	ADJ
fumecheng-6927	137	15	spring	spring	NOUN
fumecheng-6927	137	16	(	(	PUNCT
fumecheng-6927	137	17	ge	ge	PROPN
fumecheng-6927	137	18	)	)	PUNCT
fumecheng-6927	137	19	with	with	ADP
fumecheng-6927	137	20	the	the	DET
fumecheng-6927	137	21	relaxance	relaxance	NOUN
fumecheng-6927	137	22	of	of	ADP
fumecheng-6927	137	23	the	the	DET
fumecheng-6927	137	24	maxwell	maxwell	PROPN
fumecheng-6927	137	25	arm	arm	NOUN
fumecheng-6927	137	26	that	that	PRON
fumecheng-6927	137	27	contains	contain	VERB
fumecheng-6927	137	28	spring	spring	NOUN
fumecheng-6927	137	29	g1	g1	NOUN
fumecheng-6927	137	30	and	and	CCONJ
fumecheng-6927	137	31	dashpot1	dashpot1	NOUN
fumecheng-6927	137	32	.	.	PUNCT
fumecheng-6927	138	1	however	however	ADV
fumecheng-6927	138	2	,	,	PUNCT
fumecheng-6927	138	3	before	before	SCONJ
fumecheng-6927	138	4	we	we	PRON
fumecheng-6927	138	5	can	can	AUX
fumecheng-6927	138	6	perform	perform	VERB
fumecheng-6927	138	7	this	this	DET
fumecheng-6927	138	8	addition	addition	NOUN
fumecheng-6927	138	9	,	,	PUNCT
fumecheng-6927	138	10	we	we	PRON
fumecheng-6927	138	11	must	must	AUX
fumecheng-6927	138	12	first	first	ADV
fumecheng-6927	138	13	determine	determine	VERB
fumecheng-6927	138	14	the	the	DET
fumecheng-6927	138	15	relaxance	relaxance	NOUN
fumecheng-6927	138	16	of	of	ADP
fumecheng-6927	138	17	the	the	DET
fumecheng-6927	138	18	maxwell	maxwell	PROPN
fumecheng-6927	138	19	arm	arm	NOUN
fumecheng-6927	138	20	itself	itself	PRON
fumecheng-6927	138	21	,	,	PUNCT
fumecheng-6927	138	22	for	for	ADP
fumecheng-6927	138	23	which	which	PRON
fumecheng-6927	138	24	the	the	DET
fumecheng-6927	138	25	2nd	2nd	ADJ
fumecheng-6927	138	26	rule	rule	NOUN
fumecheng-6927	138	27	below	below	ADV
fumecheng-6927	138	28	will	will	AUX
fumecheng-6927	138	29	be	be	AUX
fumecheng-6927	138	30	needed	need	VERB
fumecheng-6927	138	31	.	.	PUNCT
fumecheng-6927	139	1	2	2	X
fumecheng-6927	139	2	)	)	PUNCT
fumecheng-6927	139	3	retardances	retardance	NOUN
fumecheng-6927	139	4	are	be	AUX
fumecheng-6927	139	5	added	add	VERB
fumecheng-6927	139	6	up	up	ADP
fumecheng-6927	139	7	in	in	ADP
fumecheng-6927	139	8	series	series	NOUN
fumecheng-6927	139	9	.	.	PUNCT
fumecheng-6927	140	1	for	for	ADP
fumecheng-6927	140	2	example	example	NOUN
fumecheng-6927	140	3	,	,	PUNCT
fumecheng-6927	140	4	to	to	PART
fumecheng-6927	140	5	obtain	obtain	VERB
fumecheng-6927	140	6	the	the	DET
fumecheng-6927	140	7	relaxance	relaxance	NOUN
fumecheng-6927	140	8	of	of	ADP
fumecheng-6927	140	9	the	the	DET
fumecheng-6927	140	10	maxwell	maxwell	PROPN
fumecheng-6927	140	11	arm	arm	NOUN
fumecheng-6927	140	12	(	(	PUNCT
fumecheng-6927	140	13	a	a	DET
fumecheng-6927	140	14	spring	spring	NOUN
fumecheng-6927	140	15	in	in	ADP
fumecheng-6927	140	16	series	series	NOUN
fumecheng-6927	140	17	with	with	ADP
fumecheng-6927	140	18	a	a	DET
fumecheng-6927	140	19	dashpot	dashpot	NOUN
fumecheng-6927	140	20	)	)	PUNCT
fumecheng-6927	140	21	,	,	PUNCT
fumecheng-6927	140	22	we	we	PRON
fumecheng-6927	140	23	need	need	VERB
fumecheng-6927	140	24	to	to	PART
fumecheng-6927	140	25	add	add	VERB
fumecheng-6927	140	26	up	up	ADP
fumecheng-6927	140	27	the	the	DET
fumecheng-6927	140	28	retardance	retardance	NOUN
fumecheng-6927	140	29	of	of	ADP
fumecheng-6927	140	30	the	the	DET
fumecheng-6927	140	31	spring	spring	NOUN
fumecheng-6927	140	32	(	(	PUNCT
fumecheng-6927	140	33	1	1	NUM
fumecheng-6927	140	34	/	/	SYM
fumecheng-6927	140	35	g1	g1	PROPN
fumecheng-6927	140	36	)	)	PUNCT
fumecheng-6927	140	37	with	with	ADP
fumecheng-6927	140	38	the	the	DET
fumecheng-6927	140	39	retardance	retardance	NOUN
fumecheng-6927	140	40	of	of	ADP
fumecheng-6927	140	41	the	the	DET
fumecheng-6927	140	42	dashpot	dashpot	NOUN
fumecheng-6927	140	43	(	(	PUNCT
fumecheng-6927	140	44	1/1s	1/1s	NOUN
fumecheng-6927	140	45	)	)	PUNCT
fumecheng-6927	140	46	.	.	PUNCT
fumecheng-6927	141	1	recall	recall	PROPN
fumecheng-6927	141	2	from	from	ADP
fumecheng-6927	141	3	section	section	NOUN
fumecheng-6927	141	4	2.1	2.1	NUM
fumecheng-6927	141	5	that	that	SCONJ
fumecheng-6927	141	6	relaxances	relaxance	NOUN
fumecheng-6927	141	7	and	and	CCONJ
fumecheng-6927	141	8	retardances	retardance	NOUN
fumecheng-6927	141	9	hold	hold	VERB
fumecheng-6927	141	10	an	an	DET
fumecheng-6927	141	11	inverse	inverse	NOUN
fumecheng-6927	141	12	relationship	relationship	NOUN
fumecheng-6927	141	13	.	.	PUNCT
fumecheng-6927	142	1	thus	thus	ADV
fumecheng-6927	142	2	,	,	PUNCT
fumecheng-6927	142	3	for	for	SCONJ
fumecheng-6927	142	4	the	the	DET
fumecheng-6927	142	5	maxwell	maxwell	PROPN
fumecheng-6927	142	6	arm	arm	NOUN
fumecheng-6927	142	7	the	the	DET
fumecheng-6927	142	8	retardance	retardance	NOUN
fumecheng-6927	142	9	is	be	AUX
fumecheng-6927	142	10	1/1s	1/1s	NUM
fumecheng-6927	142	11	+	+	CCONJ
fumecheng-6927	142	12	1	1	NUM
fumecheng-6927	142	13	/	/	SYM
fumecheng-6927	142	14	g1	g1	NOUN
fumecheng-6927	142	15	and	and	CCONJ
fumecheng-6927	142	16	its	its	PRON
fumecheng-6927	142	17	relaxance	relaxance	NOUN
fumecheng-6927	142	18	is	be	AUX
fumecheng-6927	142	19	the	the	DET
fumecheng-6927	142	20	inverse	inverse	NOUN
fumecheng-6927	142	21	of	of	ADP
fumecheng-6927	142	22	this	this	DET
fumecheng-6927	142	23	expression	expression	NOUN
fumecheng-6927	142	24	,	,	PUNCT
fumecheng-6927	142	25	equal	equal	ADJ
fumecheng-6927	142	26	to	to	ADP
fumecheng-6927	142	27	1	1	NUM
fumecheng-6927	142	28	1	1	NUM
fumecheng-6927	142	29	/	/	SYM
fumecheng-6927	142	30	η1s+1	η1s+1	NOUN
fumecheng-6927	142	31	/	/	SYM
fumecheng-6927	142	32	g1	g1	PROPN
fumecheng-6927	142	33	.	.	PUNCT
fumecheng-6927	143	1	thus	thus	ADV
fumecheng-6927	143	2	,	,	PUNCT
fumecheng-6927	143	3	according	accord	VERB
fumecheng-6927	143	4	to	to	ADP
fumecheng-6927	143	5	the	the	DET
fumecheng-6927	143	6	above	above	ADJ
fumecheng-6927	143	7	two	two	NUM
fumecheng-6927	143	8	rules	rule	NOUN
fumecheng-6927	143	9	,	,	PUNCT
fumecheng-6927	143	10	for	for	ADP
fumecheng-6927	143	11	the	the	DET
fumecheng-6927	143	12	example	example	NOUN
fumecheng-6927	143	13	of	of	ADP
fumecheng-6927	143	14	the	the	DET
fumecheng-6927	143	15	maxwell	maxwell	PROPN
fumecheng-6927	143	16	-	-	PUNCT
fumecheng-6927	143	17	sls	sls	PROPN
fumecheng-6927	143	18	model	model	NOUN
fumecheng-6927	143	19	,	,	PUNCT
fumecheng-6927	143	20	the	the	DET
fumecheng-6927	143	21	total	total	ADJ
fumecheng-6927	143	22	relaxance	relaxance	NOUN
fumecheng-6927	143	23	is	be	AUX
fumecheng-6927	143	24	the	the	DET
fumecheng-6927	143	25	addition	addition	NOUN
fumecheng-6927	143	26	of	of	ADP
fumecheng-6927	143	27	the	the	DET
fumecheng-6927	143	28	isolated	isolated	ADJ
fumecheng-6927	143	29	spring	spring	NOUN
fumecheng-6927	143	30	’s	’s	PART
fumecheng-6927	143	31	relaxance	relaxance	NOUN
fumecheng-6927	143	32	(	(	PUNCT
fumecheng-6927	143	33	ge	ge	PROPN
fumecheng-6927	143	34	)	)	PUNCT
fumecheng-6927	143	35	with	with	ADP
fumecheng-6927	143	36	the	the	DET
fumecheng-6927	143	37	maxwell	maxwell	PROPN
fumecheng-6927	143	38	arm	arm	PROPN
fumecheng-6927	143	39	’s	’s	PART
fumecheng-6927	143	40	relaxance	relaxance	NOUN
fumecheng-6927	143	41	(	(	PUNCT
fumecheng-6927	143	42	1	1	NUM
fumecheng-6927	143	43	1	1	NUM
fumecheng-6927	143	44	/	/	SYM
fumecheng-6927	143	45	η1s+1	η1s+1	NOUN
fumecheng-6927	143	46	/	/	SYM
fumecheng-6927	143	47	g1	g1	NOUN
fumecheng-6927	143	48	,	,	PUNCT
fumecheng-6927	143	49	which	which	PRON
fumecheng-6927	143	50	yields	yield	VERB
fumecheng-6927	143	51	𝐺𝑒	𝐺𝑒	ADP
fumecheng-6927	143	52	+	+	CCONJ
fumecheng-6927	143	53	1	1	NUM
fumecheng-6927	143	54	1	1	NUM
fumecheng-6927	143	55	/	/	SYM
fumecheng-6927	143	56	η1s+1	η1s+1	NOUN
fumecheng-6927	143	57	/	/	SYM
fumecheng-6927	143	58	g1	g1	NOUN
fumecheng-6927	143	59	.	.	PUNCT
fumecheng-6927	144	1	after	after	ADP
fumecheng-6927	144	2	some	some	DET
fumecheng-6927	144	3	algebraic	algebraic	ADJ
fumecheng-6927	144	4	arrangements	arrangement	NOUN
fumecheng-6927	144	5	and	and	CCONJ
fumecheng-6927	144	6	with	with	ADP
fumecheng-6927	144	7	the	the	DET
fumecheng-6927	144	8	substitution	substitution	NOUN
fumecheng-6927	144	9	n	n	NOUN
fumecheng-6927	144	10	=	=	SYM
fumecheng-6927	144	11	1	1	X
fumecheng-6927	144	12	/	/	SYM
fumecheng-6927	144	13	g1this	g1this	NUM
fumecheng-6927	144	14	expression	expression	NOUN
fumecheng-6927	144	15	can	can	AUX
fumecheng-6927	144	16	be	be	AUX
fumecheng-6927	144	17	transformed	transform	VERB
fumecheng-6927	144	18	into	into	ADP
fumecheng-6927	144	19	:	:	PUNCT
fumecheng-6927	144	20	𝑄𝑆𝐿𝑆	𝑄𝑆𝐿𝑆	PROPN
fumecheng-6927	144	21	̅̅	̅̅	PROPN
fumecheng-6927	144	22	̅̅	̅̅	PROPN
fumecheng-6927	144	23	̅̅	̅̅	PROPN
fumecheng-6927	144	24	(	(	PUNCT
fumecheng-6927	144	25	𝑠	𝑠	NOUN
fumecheng-6927	144	26	)	)	PUNCT
fumecheng-6927	145	1	=	=	SYM
fumecheng-6927	145	2	𝐺𝑒	𝐺𝑒	PROPN
fumecheng-6927	145	3	+	+	CCONJ
fumecheng-6927	145	4	𝐺1𝜏1𝑠	𝐺1𝜏1𝑠	ADJ
fumecheng-6927	145	5	1+𝜏1𝑠	1+𝜏1𝑠	NUM
fumecheng-6927	145	6	(	(	PUNCT
fumecheng-6927	145	7	10	10	NUM
fumecheng-6927	145	8	)	)	PUNCT
fumecheng-6927	145	9	where	where	SCONJ
fumecheng-6927	145	10	the	the	DET
fumecheng-6927	145	11	characteristic	characteristic	ADJ
fumecheng-6927	145	12	time	time	NOUN
fumecheng-6927	145	13	1is	1is	PUNCT
fumecheng-6927	145	14	the	the	DET
fumecheng-6927	145	15	ratio	ratio	NOUN
fumecheng-6927	145	16	of	of	ADP
fumecheng-6927	145	17	dashpot	dashpot	ADJ
fumecheng-6927	145	18	coefficient	coefficient	NOUN
fumecheng-6927	145	19	to	to	ADP
fumecheng-6927	145	20	the	the	DET
fumecheng-6927	145	21	modulus	modulus	NOUN
fumecheng-6927	145	22	of	of	ADP
fumecheng-6927	145	23	the	the	DET
fumecheng-6927	145	24	spring	spring	NOUN
fumecheng-6927	145	25	in	in	ADP
fumecheng-6927	145	26	the	the	DET
fumecheng-6927	145	27	maxwell	maxwell	PROPN
fumecheng-6927	145	28	arm	arm	NOUN
fumecheng-6927	145	29	.	.	PUNCT
fumecheng-6927	146	1	for	for	ADP
fumecheng-6927	146	2	the	the	DET
fumecheng-6927	146	3	generalization	generalization	NOUN
fumecheng-6927	146	4	of	of	ADP
fumecheng-6927	146	5	a	a	DET
fumecheng-6927	146	6	maxwell	maxwell	PROPN
fumecheng-6927	146	7	model	model	NOUN
fumecheng-6927	146	8	with	with	ADP
fumecheng-6927	146	9	an	an	DET
fumecheng-6927	146	10	arbitrary	arbitrary	ADJ
fumecheng-6927	146	11	number	number	NOUN
fumecheng-6927	146	12	of	of	ADP
fumecheng-6927	146	13	characteristic	characteristic	ADJ
fumecheng-6927	146	14	times	time	NOUN
fumecheng-6927	146	15	(	(	PUNCT
fumecheng-6927	146	16	fig	fig	NOUN
fumecheng-6927	146	17	.	.	PUNCT
fumecheng-6927	146	18	1a	1a	NOUN
fumecheng-6927	146	19	)	)	PUNCT
fumecheng-6927	146	20	,	,	PUNCT
fumecheng-6927	146	21	the	the	DET
fumecheng-6927	146	22	relaxances	relaxance	NOUN
fumecheng-6927	146	23	of	of	ADP
fumecheng-6927	146	24	the	the	DET
fumecheng-6927	146	25	rest	rest	NOUN
fumecheng-6927	146	26	of	of	ADP
fumecheng-6927	146	27	the	the	DET
fumecheng-6927	146	28	maxwell	maxwell	PROPN
fumecheng-6927	146	29	arms	arm	NOUN
fumecheng-6927	146	30	should	should	AUX
fumecheng-6927	146	31	be	be	AUX
fumecheng-6927	146	32	added	add	VERB
fumecheng-6927	146	33	.	.	PUNCT
fumecheng-6927	147	1	it	it	PRON
fumecheng-6927	147	2	can	can	AUX
fumecheng-6927	147	3	be	be	AUX
fumecheng-6927	147	4	easily	easily	ADV
fumecheng-6927	147	5	inferred	infer	VERB
fumecheng-6927	147	6	that	that	SCONJ
fumecheng-6927	147	7	following	follow	VERB
fumecheng-6927	147	8	this	this	DET
fumecheng-6927	147	9	process	process	NOUN
fumecheng-6927	147	10	would	would	AUX
fumecheng-6927	147	11	lead	lead	VERB
fumecheng-6927	147	12	us	we	PRON
fumecheng-6927	147	13	to	to	ADP
fumecheng-6927	147	14	the	the	DET
fumecheng-6927	147	15	generalized	generalized	ADJ
fumecheng-6927	147	16	expression	expression	NOUN
fumecheng-6927	147	17	in	in	ADP
fumecheng-6927	147	18	eq	eq	ADP
fumecheng-6927	147	19	.	.	PUNCT
fumecheng-6927	148	1	(	(	PUNCT
fumecheng-6927	148	2	6	6	NUM
fumecheng-6927	148	3	)	)	PUNCT
fumecheng-6927	148	4	,	,	PUNCT
fumecheng-6927	148	5	which	which	PRON
fumecheng-6927	148	6	governs	govern	VERB
fumecheng-6927	148	7	the	the	DET
fumecheng-6927	148	8	response	response	NOUN
fumecheng-6927	148	9	of	of	ADP
fumecheng-6927	148	10	the	the	DET
fumecheng-6927	148	11	generalized	generalized	ADJ
fumecheng-6927	148	12	model	model	NOUN
fumecheng-6927	148	13	in	in	ADP
fumecheng-6927	148	14	fig	fig	NOUN
fumecheng-6927	148	15	.	.	PUNCT
fumecheng-6927	149	1	1a	1a	X
fumecheng-6927	149	2	.	.	PUNCT
fumecheng-6927	150	1	140	140	NUM
fumecheng-6927	150	2	m.	m.	NOUN
fumecheng-6927	150	3	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	150	4	,	,	PUNCT
fumecheng-6927	150	5	e.	e.	PROPN
fumecheng-6927	150	6	a.	a.	PROPN
fumecheng-6927	150	7	lópez	lópez	PROPN
fumecheng-6927	150	8	-	-	PUNCT
fumecheng-6927	150	9	guerra	guerra	PROPN
fumecheng-6927	150	10	,	,	PUNCT
fumecheng-6927	150	11	s.	s.	PROPN
fumecheng-6927	150	12	d.	d.	PROPN
fumecheng-6927	150	13	solares	solare	VERB
fumecheng-6927	150	14	2.4	2.4	NUM
fumecheng-6927	150	15	calculating	calculate	VERB
fumecheng-6927	150	16	the	the	DET
fumecheng-6927	150	17	coefficients	coefficient	NOUN
fumecheng-6927	150	18	for	for	ADP
fumecheng-6927	150	19	the	the	DET
fumecheng-6927	150	20	governing	govern	VERB
fumecheng-6927	150	21	equation	equation	NOUN
fumecheng-6927	150	22	once	once	SCONJ
fumecheng-6927	150	23	we	we	PRON
fumecheng-6927	150	24	have	have	AUX
fumecheng-6927	150	25	calculated	calculate	VERB
fumecheng-6927	150	26	the	the	DET
fumecheng-6927	150	27	material	material	NOUN
fumecheng-6927	150	28	transform	transform	NOUN
fumecheng-6927	150	29	(	(	PUNCT
fumecheng-6927	150	30	either	either	CCONJ
fumecheng-6927	150	31	�	�	PROPN
fumecheng-6927	150	32	̅	̅	NOUN
fumecheng-6927	150	33	�	�	NOUN
fumecheng-6927	150	34	(𝑠	(𝑠	NOUN
fumecheng-6927	150	35	)	)	PUNCT
fumecheng-6927	150	36	or	or	CCONJ
fumecheng-6927	150	37	�	�	PROPN
fumecheng-6927	150	38	̅	̅	NOUN
fumecheng-6927	150	39	�	�	NOUN
fumecheng-6927	150	40	(𝑠	(𝑠	NOUN
fumecheng-6927	150	41	)	)	PUNCT
fumecheng-6927	150	42	,	,	PUNCT
fumecheng-6927	150	43	depending	depend	VERB
fumecheng-6927	150	44	on	on	ADP
fumecheng-6927	150	45	the	the	DET
fumecheng-6927	150	46	chosen	choose	VERB
fumecheng-6927	150	47	viscoelastic	viscoelastic	NOUN
fumecheng-6927	150	48	model	model	NOUN
fumecheng-6927	150	49	)	)	PUNCT
fumecheng-6927	150	50	,	,	PUNCT
fumecheng-6927	150	51	the	the	DET
fumecheng-6927	150	52	next	next	ADJ
fumecheng-6927	150	53	step	step	NOUN
fumecheng-6927	150	54	is	be	AUX
fumecheng-6927	150	55	to	to	PART
fumecheng-6927	150	56	find	find	VERB
fumecheng-6927	150	57	the	the	DET
fumecheng-6927	150	58	differential	differential	ADJ
fumecheng-6927	150	59	coefficients	coefficient	NOUN
fumecheng-6927	150	60	(	(	PUNCT
fumecheng-6927	150	61	u0	u0	ADJ
fumecheng-6927	150	62	,	,	PUNCT
fumecheng-6927	150	63	u1	u1	PROPN
fumecheng-6927	150	64	…	…	SYM
fumecheng-6927	150	65	,	,	PUNCT
fumecheng-6927	150	66	un	un	PROPN
fumecheng-6927	150	67	,	,	PUNCT
fumecheng-6927	150	68	q0	q0	PROPN
fumecheng-6927	150	69	,	,	PUNCT
fumecheng-6927	150	70	q1	q1	PROPN
fumecheng-6927	150	71	…	…	PUNCT
fumecheng-6927	150	72	,	,	PUNCT
fumecheng-6927	150	73	qn	qn	NOUN
fumecheng-6927	150	74	)	)	PUNCT
fumecheng-6927	150	75	from	from	ADP
fumecheng-6927	150	76	this	this	DET
fumecheng-6927	150	77	material	material	NOUN
fumecheng-6927	150	78	transform	transform	NOUN
fumecheng-6927	150	79	.	.	PUNCT
fumecheng-6927	151	1	to	to	PART
fumecheng-6927	151	2	do	do	VERB
fumecheng-6927	151	3	that	that	PRON
fumecheng-6927	151	4	,	,	PUNCT
fumecheng-6927	151	5	we	we	PRON
fumecheng-6927	151	6	need	need	VERB
fumecheng-6927	151	7	to	to	PART
fumecheng-6927	151	8	perform	perform	VERB
fumecheng-6927	151	9	algebraic	algebraic	ADJ
fumecheng-6927	151	10	manipulation	manipulation	NOUN
fumecheng-6927	151	11	of	of	ADP
fumecheng-6927	151	12	the	the	DET
fumecheng-6927	151	13	material	material	NOUN
fumecheng-6927	151	14	transforms	transform	VERB
fumecheng-6927	151	15	�	�	NOUN
fumecheng-6927	151	16	̅	̅	NOUN
fumecheng-6927	151	17	�	�	NOUN
fumecheng-6927	151	18	(𝑠	(𝑠	NOUN
fumecheng-6927	151	19	)	)	PUNCT
fumecheng-6927	151	20	and	and	CCONJ
fumecheng-6927	151	21	𝑈(𝑠	𝑈(𝑠	ADP
fumecheng-6927	151	22	)	)	PUNCT
fumecheng-6927	151	23	such	such	ADJ
fumecheng-6927	151	24	that	that	SCONJ
fumecheng-6927	151	25	they	they	PRON
fumecheng-6927	151	26	can	can	AUX
fumecheng-6927	151	27	be	be	AUX
fumecheng-6927	151	28	expressed	express	VERB
fumecheng-6927	151	29	as	as	ADP
fumecheng-6927	151	30	a	a	DET
fumecheng-6927	151	31	ratio	ratio	NOUN
fumecheng-6927	151	32	of	of	ADP
fumecheng-6927	151	33	polynomials	polynomial	NOUN
fumecheng-6927	151	34	in	in	ADP
fumecheng-6927	151	35	the	the	DET
fumecheng-6927	151	36	complex	complex	ADJ
fumecheng-6927	151	37	variable	variable	NOUN
fumecheng-6927	151	38	‘s	‘s	NOUN
fumecheng-6927	151	39	’	'	PUNCT
fumecheng-6927	151	40	.	.	PUNCT
fumecheng-6927	152	1	for	for	ADP
fumecheng-6927	152	2	illustrative	illustrative	ADJ
fumecheng-6927	152	3	purposes	purpose	NOUN
fumecheng-6927	152	4	we	we	PRON
fumecheng-6927	152	5	continue	continue	VERB
fumecheng-6927	152	6	with	with	ADP
fumecheng-6927	152	7	the	the	DET
fumecheng-6927	152	8	maxwell	maxwell	PROPN
fumecheng-6927	152	9	-	-	PUNCT
fumecheng-6927	152	10	sls	sls	PROPN
fumecheng-6927	152	11	model	model	PROPN
fumecheng-6927	152	12	example	example	NOUN
fumecheng-6927	152	13	and	and	CCONJ
fumecheng-6927	152	14	assign	assign	VERB
fumecheng-6927	152	15	the	the	DET
fumecheng-6927	152	16	following	follow	VERB
fumecheng-6927	152	17	arbitrary	arbitrary	ADJ
fumecheng-6927	152	18	values	value	NOUN
fumecheng-6927	152	19	for	for	ADP
fumecheng-6927	152	20	the	the	DET
fumecheng-6927	152	21	parameters	parameter	NOUN
fumecheng-6927	152	22	:	:	PUNCT
fumecheng-6927	152	23	ge	ge	PROPN
fumecheng-6927	152	24	=	=	SYM
fumecheng-6927	152	25	1.0x106	1.0x106	PROPN
fumecheng-6927	152	26	pa	pa	PROPN
fumecheng-6927	152	27	,	,	PUNCT
fumecheng-6927	152	28	g1	g1	PROPN
fumecheng-6927	152	29	=	=	SYM
fumecheng-6927	152	30	1.0x108	1.0x108	PROPN
fumecheng-6927	152	31	pa	pa	PROPN
fumecheng-6927	152	32	,	,	PUNCT
fumecheng-6927	152	33	1	1	PROPN
fumecheng-6927	152	34	=	=	SYM
fumecheng-6927	152	35	1.0x10	1.0x10	NUM
fumecheng-6927	152	36	-	-	SYM
fumecheng-6927	152	37	2	2	NUM
fumecheng-6927	152	38	s.	s.	NOUN
fumecheng-6927	152	39	the	the	DET
fumecheng-6927	152	40	first	first	ADJ
fumecheng-6927	152	41	step	step	NOUN
fumecheng-6927	152	42	is	be	AUX
fumecheng-6927	152	43	to	to	PART
fumecheng-6927	152	44	perform	perform	VERB
fumecheng-6927	152	45	the	the	DET
fumecheng-6927	152	46	algebraic	algebraic	ADJ
fumecheng-6927	152	47	addition	addition	NOUN
fumecheng-6927	152	48	in	in	ADP
fumecheng-6927	152	49	eq	eq	ADP
fumecheng-6927	152	50	.	.	PUNCT
fumecheng-6927	153	1	(	(	PUNCT
fumecheng-6927	153	2	10	10	NUM
fumecheng-6927	153	3	):	):	PUNCT
fumecheng-6927	153	4	𝑄𝑆𝐿𝑆	𝑄𝑆𝐿𝑆	PROPN
fumecheng-6927	153	5	̅̅	̅̅	PROPN
fumecheng-6927	153	6	̅̅	̅̅	PROPN
fumecheng-6927	153	7	̅̅	̅̅	PROPN
fumecheng-6927	153	8	(	(	PUNCT
fumecheng-6927	153	9	𝑠	𝑠	NOUN
fumecheng-6927	153	10	)	)	PUNCT
fumecheng-6927	153	11	=	=	PUNCT
fumecheng-6927	154	1	𝐺𝑒(1+𝜏1𝑠)+𝐺1𝜏1𝑠	𝐺𝑒(1+𝜏1𝑠)+𝐺1𝜏1𝑠	PROPN
fumecheng-6927	154	2	1+𝜏1𝑠	1+𝜏1𝑠	NUM
fumecheng-6927	154	3	(	(	PUNCT
fumecheng-6927	154	4	11	11	NUM
fumecheng-6927	154	5	)	)	PUNCT
fumecheng-6927	154	6	then	then	ADV
fumecheng-6927	154	7	,	,	PUNCT
fumecheng-6927	154	8	we	we	PRON
fumecheng-6927	154	9	expand	expand	VERB
fumecheng-6927	154	10	all	all	DET
fumecheng-6927	154	11	terms	term	NOUN
fumecheng-6927	154	12	in	in	ADP
fumecheng-6927	154	13	the	the	DET
fumecheng-6927	154	14	numerator	numerator	NOUN
fumecheng-6927	154	15	and	and	CCONJ
fumecheng-6927	154	16	denominator	denominator	NOUN
fumecheng-6927	154	17	(	(	PUNCT
fumecheng-6927	154	18	the	the	DET
fumecheng-6927	154	19	denominator	denominator	NOUN
fumecheng-6927	154	20	will	will	AUX
fumecheng-6927	154	21	have	have	VERB
fumecheng-6927	154	22	more	more	ADJ
fumecheng-6927	154	23	than	than	ADP
fumecheng-6927	154	24	one	one	NUM
fumecheng-6927	154	25	factor	factor	NOUN
fumecheng-6927	154	26	when	when	SCONJ
fumecheng-6927	154	27	the	the	DET
fumecheng-6927	154	28	model	model	NOUN
fumecheng-6927	154	29	has	have	VERB
fumecheng-6927	154	30	more	more	ADJ
fumecheng-6927	154	31	than	than	ADP
fumecheng-6927	154	32	one	one	NUM
fumecheng-6927	154	33	characteristic	characteristic	ADJ
fumecheng-6927	154	34	time	time	NOUN
fumecheng-6927	154	35	)	)	PUNCT
fumecheng-6927	154	36	and	and	CCONJ
fumecheng-6927	154	37	gather	gather	VERB
fumecheng-6927	154	38	all	all	DET
fumecheng-6927	154	39	the	the	DET
fumecheng-6927	154	40	terms	term	NOUN
fumecheng-6927	154	41	with	with	ADP
fumecheng-6927	154	42	common	common	ADJ
fumecheng-6927	154	43	‘s	‘s	NOUN
fumecheng-6927	154	44	’	'	PUNCT
fumecheng-6927	154	45	exponent	exponent	NOUN
fumecheng-6927	154	46	:	:	PUNCT
fumecheng-6927	154	47	𝑄𝑆𝐿𝑆	𝑄𝑆𝐿𝑆	PROPN
fumecheng-6927	154	48	̅̅	̅̅	PROPN
fumecheng-6927	154	49	̅̅	̅̅	PROPN
fumecheng-6927	154	50	̅̅	̅̅	PROPN
fumecheng-6927	154	51	(	(	PUNCT
fumecheng-6927	154	52	𝑠	𝑠	NOUN
fumecheng-6927	154	53	)	)	PUNCT
fumecheng-6927	155	1	=	=	SYM
fumecheng-6927	155	2	𝐺𝑒+(𝐺𝑒+𝐺1)𝜏1𝑠	𝐺𝑒+(𝐺𝑒+𝐺1)𝜏1𝑠	PROPN
fumecheng-6927	155	3	1+𝜏1𝑠	1+𝜏1𝑠	NUM
fumecheng-6927	155	4	(	(	PUNCT
fumecheng-6927	155	5	12	12	NUM
fumecheng-6927	155	6	)	)	PUNCT
fumecheng-6927	155	7	all	all	DET
fumecheng-6927	155	8	the	the	DET
fumecheng-6927	155	9	terms	term	NOUN
fumecheng-6927	155	10	that	that	PRON
fumecheng-6927	155	11	are	be	AUX
fumecheng-6927	155	12	multiplied	multiply	VERB
fumecheng-6927	155	13	by	by	ADP
fumecheng-6927	155	14	s0	s0	PROPN
fumecheng-6927	155	15	in	in	ADP
fumecheng-6927	155	16	the	the	DET
fumecheng-6927	155	17	numerator	numerator	NOUN
fumecheng-6927	155	18	are	be	AUX
fumecheng-6927	155	19	combined	combine	VERB
fumecheng-6927	155	20	and	and	CCONJ
fumecheng-6927	155	21	assigned	assign	VERB
fumecheng-6927	155	22	to	to	PART
fumecheng-6927	155	23	q0	q0	PROPN
fumecheng-6927	155	24	.	.	PUNCT
fumecheng-6927	156	1	similarly	similarly	ADV
fumecheng-6927	156	2	,	,	PUNCT
fumecheng-6927	156	3	all	all	DET
fumecheng-6927	156	4	the	the	DET
fumecheng-6927	156	5	terms	term	NOUN
fumecheng-6927	156	6	that	that	PRON
fumecheng-6927	156	7	are	be	AUX
fumecheng-6927	156	8	multiplied	multiply	VERB
fumecheng-6927	156	9	by	by	ADP
fumecheng-6927	156	10	s0	s0	PROPN
fumecheng-6927	156	11	in	in	ADP
fumecheng-6927	156	12	the	the	DET
fumecheng-6927	156	13	denominator	denominator	NOUN
fumecheng-6927	156	14	are	be	AUX
fumecheng-6927	156	15	combined	combine	VERB
fumecheng-6927	156	16	and	and	CCONJ
fumecheng-6927	156	17	assigned	assign	VERB
fumecheng-6927	156	18	to	to	PART
fumecheng-6927	156	19	u0	u0	VERB
fumecheng-6927	156	20	.	.	PUNCT
fumecheng-6927	157	1	then	then	ADV
fumecheng-6927	157	2	,	,	PUNCT
fumecheng-6927	157	3	all	all	DET
fumecheng-6927	157	4	terms	term	NOUN
fumecheng-6927	157	5	multiplied	multiply	VERB
fumecheng-6927	157	6	by	by	ADP
fumecheng-6927	157	7	s1	s1	NOUN
fumecheng-6927	157	8	in	in	ADP
fumecheng-6927	157	9	the	the	DET
fumecheng-6927	157	10	numerator	numerator	NOUN
fumecheng-6927	157	11	are	be	AUX
fumecheng-6927	157	12	combined	combine	VERB
fumecheng-6927	157	13	and	and	CCONJ
fumecheng-6927	157	14	assigned	assign	VERB
fumecheng-6927	157	15	to	to	PART
fumecheng-6927	157	16	q1	q1	VERB
fumecheng-6927	157	17	,	,	PUNCT
fumecheng-6927	157	18	while	while	SCONJ
fumecheng-6927	157	19	all	all	DET
fumecheng-6927	157	20	terms	term	NOUN
fumecheng-6927	157	21	multiplied	multiply	VERB
fumecheng-6927	157	22	by	by	ADP
fumecheng-6927	157	23	s1	s1	NOUN
fumecheng-6927	157	24	in	in	ADP
fumecheng-6927	157	25	the	the	DET
fumecheng-6927	157	26	denominator	denominator	NOUN
fumecheng-6927	157	27	are	be	AUX
fumecheng-6927	157	28	combined	combine	VERB
fumecheng-6927	157	29	and	and	CCONJ
fumecheng-6927	157	30	assigned	assign	VERB
fumecheng-6927	157	31	to	to	AUX
fumecheng-6927	157	32	u1	u1	VERB
fumecheng-6927	157	33	,	,	PUNCT
fumecheng-6927	157	34	and	and	CCONJ
fumecheng-6927	157	35	so	so	ADV
fumecheng-6927	157	36	on	on	ADV
fumecheng-6927	157	37	.	.	PUNCT
fumecheng-6927	158	1	then	then	ADV
fumecheng-6927	158	2	,	,	PUNCT
fumecheng-6927	158	3	it	it	PRON
fumecheng-6927	158	4	follows	follow	VERB
fumecheng-6927	158	5	that	that	SCONJ
fumecheng-6927	158	6	all	all	DET
fumecheng-6927	158	7	terms	term	NOUN
fumecheng-6927	158	8	multiplied	multiply	VERB
fumecheng-6927	158	9	by	by	ADP
fumecheng-6927	158	10	sn	sn	PROPN
fumecheng-6927	158	11	are	be	AUX
fumecheng-6927	158	12	grouped	group	VERB
fumecheng-6927	158	13	and	and	CCONJ
fumecheng-6927	158	14	assigned	assign	VERB
fumecheng-6927	158	15	to	to	PART
fumecheng-6927	158	16	qn	qn	VERB
fumecheng-6927	158	17	in	in	ADP
fumecheng-6927	158	18	the	the	DET
fumecheng-6927	158	19	numerator	numerator	NOUN
fumecheng-6927	158	20	and	and	CCONJ
fumecheng-6927	158	21	to	to	PART
fumecheng-6927	158	22	un	un	VERB
fumecheng-6927	158	23	in	in	ADP
fumecheng-6927	158	24	the	the	DET
fumecheng-6927	158	25	denominator	denominator	NOUN
fumecheng-6927	158	26	.	.	PUNCT
fumecheng-6927	159	1	thus	thus	ADV
fumecheng-6927	159	2	,	,	PUNCT
fumecheng-6927	159	3	for	for	ADP
fumecheng-6927	159	4	our	our	PRON
fumecheng-6927	159	5	specific	specific	ADJ
fumecheng-6927	159	6	example	example	NOUN
fumecheng-6927	159	7	we	we	PRON
fumecheng-6927	159	8	have	have	VERB
fumecheng-6927	159	9	for	for	ADP
fumecheng-6927	159	10	the	the	DET
fumecheng-6927	159	11	numerator	numerator	NOUN
fumecheng-6927	159	12	:	:	PUNCT
fumecheng-6927	159	13	𝑞0	𝑞0	NOUN
fumecheng-6927	159	14	=	=	SYM
fumecheng-6927	160	1	𝐺𝑒	𝐺𝑒	PROPN
fumecheng-6927	160	2	=	=	PUNCT
fumecheng-6927	160	3	1.0	1.0	NUM
fumecheng-6927	160	4	×	×	NOUN
fumecheng-6927	160	5	106	106	NUM
fumecheng-6927	161	1	𝑃𝑎	𝑃𝑎	PROPN
fumecheng-6927	161	2	(	(	PUNCT
fumecheng-6927	161	3	13	13	NUM
fumecheng-6927	161	4	)	)	PUNCT
fumecheng-6927	161	5	𝑞1	𝑞1	NOUN
fumecheng-6927	161	6	=	=	PUNCT
fumecheng-6927	161	7	(	(	PUNCT
fumecheng-6927	161	8	𝐺𝑒	𝐺𝑒	NOUN
fumecheng-6927	161	9	+	+	CCONJ
fumecheng-6927	161	10	𝐺1)𝜏1	𝐺1)𝜏1	PROPN
fumecheng-6927	161	11	=	=	NOUN
fumecheng-6927	161	12	1.01	1.01	NUM
fumecheng-6927	161	13	×	×	NOUN
fumecheng-6927	161	14	106	106	NUM
fumecheng-6927	162	1	𝑃𝑎	𝑃𝑎	PROPN
fumecheng-6927	162	2	𝑠	𝑠	PROPN
fumecheng-6927	162	3	(	(	PUNCT
fumecheng-6927	162	4	14	14	NUM
fumecheng-6927	162	5	)	)	PUNCT
fumecheng-6927	162	6	and	and	CCONJ
fumecheng-6927	162	7	for	for	ADP
fumecheng-6927	162	8	the	the	DET
fumecheng-6927	162	9	denominator	denominator	NOUN
fumecheng-6927	162	10	we	we	PRON
fumecheng-6927	162	11	have	have	VERB
fumecheng-6927	162	12	:	:	PUNCT
fumecheng-6927	162	13	𝑢0	𝑢0	VERB
fumecheng-6927	162	14	=	=	SYM
fumecheng-6927	162	15	1	1	NUM
fumecheng-6927	162	16	(	(	PUNCT
fumecheng-6927	162	17	15	15	NUM
fumecheng-6927	162	18	)	)	PUNCT
fumecheng-6927	162	19	𝑢1	𝑢1	NOUN
fumecheng-6927	162	20	=	=	PROPN
fumecheng-6927	162	21	𝜏1	𝜏1	PROPN
fumecheng-6927	162	22	=	=	PUNCT
fumecheng-6927	162	23	1.0	1.0	NUM
fumecheng-6927	162	24	×	×	NOUN
fumecheng-6927	162	25	10−2s	10−2s	NUM
fumecheng-6927	162	26	(	(	PUNCT
fumecheng-6927	162	27	16	16	NUM
fumecheng-6927	162	28	)	)	PUNCT
fumecheng-6927	162	29	once	once	SCONJ
fumecheng-6927	162	30	we	we	PRON
fumecheng-6927	162	31	have	have	AUX
fumecheng-6927	162	32	calculated	calculate	VERB
fumecheng-6927	162	33	all	all	DET
fumecheng-6927	162	34	these	these	DET
fumecheng-6927	162	35	differential	differential	ADJ
fumecheng-6927	162	36	coefficients	coefficient	NOUN
fumecheng-6927	162	37	,	,	PUNCT
fumecheng-6927	162	38	we	we	PRON
fumecheng-6927	162	39	can	can	AUX
fumecheng-6927	162	40	plug	plug	VERB
fumecheng-6927	162	41	them	they	PRON
fumecheng-6927	162	42	into	into	ADP
fumecheng-6927	162	43	eq	eq	NOUN
fumecheng-6927	162	44	.	.	PUNCT
fumecheng-6927	163	1	(	(	PUNCT
fumecheng-6927	163	2	9	9	NUM
fumecheng-6927	163	3	)	)	PUNCT
fumecheng-6927	163	4	,	,	PUNCT
fumecheng-6927	163	5	which	which	PRON
fumecheng-6927	163	6	concludes	conclude	VERB
fumecheng-6927	163	7	the	the	DET
fumecheng-6927	163	8	process	process	NOUN
fumecheng-6927	163	9	of	of	ADP
fumecheng-6927	163	10	explicitly	explicitly	ADV
fumecheng-6927	163	11	setting	set	VERB
fumecheng-6927	163	12	up	up	ADP
fumecheng-6927	163	13	the	the	DET
fumecheng-6927	163	14	governing	govern	VERB
fumecheng-6927	163	15	equation	equation	NOUN
fumecheng-6927	163	16	.	.	PUNCT
fumecheng-6927	164	1	the	the	DET
fumecheng-6927	164	2	rest	rest	NOUN
fumecheng-6927	164	3	of	of	ADP
fumecheng-6927	164	4	the	the	DET
fumecheng-6927	164	5	manuscript	manuscript	NOUN
fumecheng-6927	164	6	will	will	AUX
fumecheng-6927	164	7	now	now	ADV
fumecheng-6927	164	8	focus	focus	VERB
fumecheng-6927	164	9	on	on	ADP
fumecheng-6927	164	10	explaining	explain	VERB
fumecheng-6927	164	11	the	the	DET
fumecheng-6927	164	12	steps	step	NOUN
fumecheng-6927	164	13	to	to	PART
fumecheng-6927	164	14	solve	solve	VERB
fumecheng-6927	164	15	this	this	DET
fumecheng-6927	164	16	equation	equation	NOUN
fumecheng-6927	164	17	numerically	numerically	ADV
fumecheng-6927	164	18	(	(	PUNCT
fumecheng-6927	164	19	i.e.	i.e.	X
fumecheng-6927	164	20	,	,	PUNCT
fumecheng-6927	164	21	through	through	ADP
fumecheng-6927	164	22	computational	computational	ADJ
fumecheng-6927	164	23	simulation	simulation	NOUN
fumecheng-6927	164	24	)	)	PUNCT
fumecheng-6927	164	25	.	.	PUNCT
fumecheng-6927	165	1	as	as	ADP
fumecheng-6927	165	2	a	a	DET
fumecheng-6927	165	3	note	note	NOUN
fumecheng-6927	165	4	of	of	ADP
fumecheng-6927	165	5	caution	caution	NOUN
fumecheng-6927	165	6	,	,	PUNCT
fumecheng-6927	165	7	it	it	PRON
fumecheng-6927	165	8	is	be	AUX
fumecheng-6927	165	9	worth	worth	ADJ
fumecheng-6927	165	10	mentioning	mention	VERB
fumecheng-6927	165	11	that	that	SCONJ
fumecheng-6927	165	12	the	the	DET
fumecheng-6927	165	13	algebra	algebra	NOUN
fumecheng-6927	165	14	used	use	VERB
fumecheng-6927	165	15	to	to	PART
fumecheng-6927	165	16	find	find	VERB
fumecheng-6927	165	17	the	the	DET
fumecheng-6927	165	18	differential	differential	ADJ
fumecheng-6927	165	19	coefficients	coefficient	NOUN
fumecheng-6927	165	20	becomes	become	VERB
fumecheng-6927	165	21	quite	quite	ADV
fumecheng-6927	165	22	involved	involved	ADJ
fumecheng-6927	165	23	when	when	SCONJ
fumecheng-6927	165	24	a	a	DET
fumecheng-6927	165	25	large	large	ADJ
fumecheng-6927	165	26	number	number	NOUN
fumecheng-6927	165	27	of	of	ADP
fumecheng-6927	165	28	characteristic	characteristic	ADJ
fumecheng-6927	165	29	times	time	NOUN
fumecheng-6927	165	30	is	be	AUX
fumecheng-6927	165	31	chosen	choose	VERB
fumecheng-6927	165	32	.	.	PUNCT
fumecheng-6927	166	1	for	for	ADP
fumecheng-6927	166	2	convenience	convenience	NOUN
fumecheng-6927	166	3	,	,	PUNCT
fumecheng-6927	166	4	the	the	DET
fumecheng-6927	166	5	reader	reader	NOUN
fumecheng-6927	166	6	is	be	AUX
fumecheng-6927	166	7	invited	invite	VERB
fumecheng-6927	166	8	to	to	PART
fumecheng-6927	166	9	explore	explore	VERB
fumecheng-6927	166	10	the	the	DET
fumecheng-6927	166	11	jupyter	jupyter	ADJ
fumecheng-6927	166	12	notebook	notebook	NOUN
fumecheng-6927	166	13	“	"	PUNCT
fumecheng-6927	166	14	calculation	calculation	NOUN
fumecheng-6927	166	15	of	of	ADP
fumecheng-6927	166	16	the	the	DET
fumecheng-6927	166	17	coefficients	coefficient	NOUN
fumecheng-6927	166	18	,	,	PUNCT
fumecheng-6927	166	19	(	(	PUNCT
fumecheng-6927	166	20	u0	u0	ADJ
fumecheng-6927	166	21	,	,	PUNCT
fumecheng-6927	166	22	u1	u1	PROPN
fumecheng-6927	166	23	…	…	SYM
fumecheng-6927	166	24	,	,	PUNCT
fumecheng-6927	166	25	un	un	PROPN
fumecheng-6927	166	26	,	,	PUNCT
fumecheng-6927	166	27	q0	q0	PROPN
fumecheng-6927	166	28	,	,	PUNCT
fumecheng-6927	166	29	q1	q1	PROPN
fumecheng-6927	166	30	…	…	PUNCT
fumecheng-6927	166	31	,	,	PUNCT
fumecheng-6927	166	32	qn	qn	NOUN
fumecheng-6927	166	33	)	)	PUNCT
fumecheng-6927	166	34	,	,	PUNCT
fumecheng-6927	166	35	for	for	ADP
fumecheng-6927	166	36	the	the	DET
fumecheng-6927	166	37	differential	differential	ADJ
fumecheng-6927	166	38	equation	equation	NOUN
fumecheng-6927	166	39	for	for	ADP
fumecheng-6927	166	40	a	a	DET
fumecheng-6927	166	41	3	3	NUM
fumecheng-6927	166	42	arm	arm	NOUN
fumecheng-6927	166	43	gen	gen	PROPN
fumecheng-6927	166	44	.	.	PROPN
fumecheng-6927	166	45	maxwell	maxwell	PROPN
fumecheng-6927	166	46	,	,	PUNCT
fumecheng-6927	166	47	kelvin	kelvin	PROPN
fumecheng-6927	166	48	-	-	PUNCT
fumecheng-6927	166	49	voigt	voigt	PROPN
fumecheng-6927	166	50	model	model	NOUN
fumecheng-6927	166	51	”	"	PUNCT
fumecheng-6927	166	52	in	in	ADP
fumecheng-6927	166	53	an	an	DET
fumecheng-6927	166	54	open	open	ADJ
fumecheng-6927	166	55	-	-	PUNCT
fumecheng-6927	166	56	access	access	NOUN
fumecheng-6927	166	57	github	github	NOUN
fumecheng-6927	166	58	repository	repository	NOUN
fumecheng-6927	167	1	[	[	X
fumecheng-6927	167	2	40	40	NUM
fumecheng-6927	167	3	]	]	PUNCT
fumecheng-6927	167	4	.	.	PUNCT
fumecheng-6927	168	1	this	this	DET
fumecheng-6927	168	2	notebook	notebook	NOUN
fumecheng-6927	168	3	conveniently	conveniently	ADV
fumecheng-6927	168	4	performs	perform	VERB
fumecheng-6927	168	5	the	the	DET
fumecheng-6927	168	6	algebra	algebra	NOUN
fumecheng-6927	168	7	by	by	ADP
fumecheng-6927	168	8	means	mean	NOUN
fumecheng-6927	168	9	of	of	ADP
fumecheng-6927	168	10	the	the	DET
fumecheng-6927	168	11	sympy	sympy	PROPN
fumecheng-6927	168	12	library	library	NOUN
fumecheng-6927	169	1	[	[	X
fumecheng-6927	169	2	49	49	NUM
fumecheng-6927	169	3	]	]	PUNCT
fumecheng-6927	169	4	.	.	PUNCT
fumecheng-6927	170	1	guidelines	guideline	NOUN
fumecheng-6927	170	2	to	to	PART
fumecheng-6927	170	3	simulate	simulate	VERB
fumecheng-6927	170	4	linear	linear	ADJ
fumecheng-6927	170	5	viscoelastic	viscoelastic	NOUN
fumecheng-6927	170	6	materials	material	NOUN
fumecheng-6927	170	7	with	with	ADP
fumecheng-6927	170	8	an	an	DET
fumecheng-6927	170	9	arbitrary	arbitrary	ADJ
fumecheng-6927	170	10	number	number	NOUN
fumecheng-6927	170	11	of	of	ADP
fumecheng-6927	170	12	characteristic	characteristic	ADJ
fumecheng-6927	170	13	times	time	NOUN
fumecheng-6927	170	14	...	...	PUNCT
fumecheng-6927	170	15	141	141	NUM
fumecheng-6927	170	16	2.5	2.5	NUM
fumecheng-6927	170	17	.	.	PUNCT
fumecheng-6927	171	1	numerical	numerical	ADJ
fumecheng-6927	171	2	solution	solution	NOUN
fumecheng-6927	171	3	of	of	ADP
fumecheng-6927	171	4	the	the	DET
fumecheng-6927	171	5	governing	govern	VERB
fumecheng-6927	171	6	equation	equation	NOUN
fumecheng-6927	171	7	in	in	ADP
fumecheng-6927	171	8	the	the	DET
fumecheng-6927	171	9	next	next	ADJ
fumecheng-6927	171	10	two	two	NUM
fumecheng-6927	171	11	subsections	subsection	NOUN
fumecheng-6927	171	12	,	,	PUNCT
fumecheng-6927	171	13	we	we	PRON
fumecheng-6927	171	14	describe	describe	VERB
fumecheng-6927	171	15	the	the	DET
fumecheng-6927	171	16	algorithms	algorithm	NOUN
fumecheng-6927	171	17	to	to	PART
fumecheng-6927	171	18	solve	solve	VERB
fumecheng-6927	171	19	the	the	DET
fumecheng-6927	171	20	governing	govern	VERB
fumecheng-6927	171	21	equation	equation	NOUN
fumecheng-6927	171	22	(	(	PUNCT
fumecheng-6927	171	23	eq	eq	NOUN
fumecheng-6927	171	24	.	.	PUNCT
fumecheng-6927	172	1	(	(	PUNCT
fumecheng-6927	172	2	9	9	NUM
fumecheng-6927	172	3	)	)	PUNCT
fumecheng-6927	172	4	)	)	PUNCT
fumecheng-6927	172	5	numerically	numerically	ADV
fumecheng-6927	172	6	.	.	PUNCT
fumecheng-6927	173	1	the	the	DET
fumecheng-6927	173	2	solution	solution	NOUN
fumecheng-6927	173	3	is	be	AUX
fumecheng-6927	173	4	divided	divide	VERB
fumecheng-6927	173	5	into	into	ADP
fumecheng-6927	173	6	two	two	NUM
fumecheng-6927	173	7	sections	section	NOUN
fumecheng-6927	173	8	:	:	PUNCT
fumecheng-6927	173	9	the	the	DET
fumecheng-6927	173	10	first	first	ADJ
fumecheng-6927	173	11	one	one	NOUN
fumecheng-6927	173	12	relates	relate	VERB
fumecheng-6927	173	13	to	to	ADP
fumecheng-6927	173	14	the	the	DET
fumecheng-6927	173	15	portion	portion	NOUN
fumecheng-6927	173	16	where	where	SCONJ
fumecheng-6927	173	17	tip	tip	NOUN
fumecheng-6927	173	18	and	and	CCONJ
fumecheng-6927	173	19	sample	sample	NOUN
fumecheng-6927	173	20	are	be	AUX
fumecheng-6927	173	21	in	in	ADP
fumecheng-6927	173	22	contact	contact	NOUN
fumecheng-6927	173	23	during	during	ADP
fumecheng-6927	173	24	the	the	DET
fumecheng-6927	173	25	probe	probe	NOUN
fumecheng-6927	173	26	approach	approach	NOUN
fumecheng-6927	173	27	and	and	CCONJ
fumecheng-6927	173	28	the	the	DET
fumecheng-6927	173	29	initial	initial	ADJ
fumecheng-6927	173	30	portion	portion	NOUN
fumecheng-6927	173	31	of	of	ADP
fumecheng-6927	173	32	the	the	DET
fumecheng-6927	173	33	tip	tip	NOUN
fumecheng-6927	173	34	’s	’s	PART
fumecheng-6927	173	35	retract	retract	PROPN
fumecheng-6927	173	36	trajectory	trajectory	NOUN
fumecheng-6927	173	37	,	,	PUNCT
fumecheng-6927	173	38	before	before	ADP
fumecheng-6927	173	39	losing	lose	VERB
fumecheng-6927	173	40	tip	tip	NOUN
fumecheng-6927	173	41	-	-	PUNCT
fumecheng-6927	173	42	sample	sample	NOUN
fumecheng-6927	173	43	contact	contact	NOUN
fumecheng-6927	173	44	.	.	PUNCT
fumecheng-6927	174	1	the	the	DET
fumecheng-6927	174	2	second	second	ADJ
fumecheng-6927	174	3	portion	portion	NOUN
fumecheng-6927	174	4	corresponds	correspond	VERB
fumecheng-6927	174	5	to	to	ADP
fumecheng-6927	174	6	the	the	DET
fumecheng-6927	174	7	recovery	recovery	NOUN
fumecheng-6927	174	8	of	of	ADP
fumecheng-6927	174	9	the	the	DET
fumecheng-6927	174	10	surface	surface	NOUN
fumecheng-6927	174	11	after	after	SCONJ
fumecheng-6927	174	12	tip	tip	NOUN
fumecheng-6927	174	13	-	-	PUNCT
fumecheng-6927	174	14	sample	sample	NOUN
fumecheng-6927	174	15	contact	contact	NOUN
fumecheng-6927	174	16	is	be	AUX
fumecheng-6927	174	17	lost	lose	VERB
fumecheng-6927	174	18	.	.	PUNCT
fumecheng-6927	175	1	in	in	ADP
fumecheng-6927	175	2	this	this	DET
fumecheng-6927	175	3	second	second	ADJ
fumecheng-6927	175	4	portion	portion	NOUN
fumecheng-6927	175	5	the	the	DET
fumecheng-6927	175	6	surface	surface	NOUN
fumecheng-6927	175	7	remains	remain	VERB
fumecheng-6927	175	8	temporarily	temporarily	ADV
fumecheng-6927	175	9	depressed	depressed	ADJ
fumecheng-6927	175	10	after	after	SCONJ
fumecheng-6927	175	11	the	the	DET
fumecheng-6927	175	12	tip	tip	NOUN
fumecheng-6927	175	13	retracts	retract	VERB
fumecheng-6927	175	14	,	,	PUNCT
fumecheng-6927	175	15	followed	follow	VERB
fumecheng-6927	175	16	by	by	ADP
fumecheng-6927	175	17	surface	surface	NOUN
fumecheng-6927	175	18	recovery	recovery	NOUN
fumecheng-6927	175	19	in	in	ADP
fumecheng-6927	175	20	a	a	DET
fumecheng-6927	175	21	stress	stress	NOUN
fumecheng-6927	175	22	-	-	PUNCT
fumecheng-6927	175	23	free	free	ADJ
fumecheng-6927	175	24	fashion	fashion	NOUN
fumecheng-6927	175	25	(	(	PUNCT
fumecheng-6927	175	26	the	the	DET
fumecheng-6927	175	27	rebound	rebound	NOUN
fumecheng-6927	175	28	portion	portion	NOUN
fumecheng-6927	175	29	[	[	X
fumecheng-6927	175	30	50	50	NUM
fumecheng-6927	175	31	]	]	NUM
fumecheng-6927	175	32	)	)	PUNCT
fumecheng-6927	175	33	.	.	PUNCT
fumecheng-6927	176	1	2.5.1	2.5.1	NUM
fumecheng-6927	176	2	.	.	PUNCT
fumecheng-6927	176	3	numerical	numerical	ADJ
fumecheng-6927	176	4	solution	solution	NOUN
fumecheng-6927	176	5	for	for	ADP
fumecheng-6927	176	6	the	the	DET
fumecheng-6927	176	7	indentation	indentation	NOUN
fumecheng-6927	176	8	into	into	ADP
fumecheng-6927	176	9	a	a	DET
fumecheng-6927	176	10	viscoelastic	viscoelastic	ADJ
fumecheng-6927	176	11	material	material	NOUN
fumecheng-6927	176	12	:	:	PUNCT
fumecheng-6927	176	13	contact	contact	NOUN
fumecheng-6927	176	14	portion	portion	NOUN
fumecheng-6927	176	15	of	of	ADP
fumecheng-6927	176	16	the	the	DET
fumecheng-6927	176	17	force	force	NOUN
fumecheng-6927	176	18	spectroscopy	spectroscopy	NOUN
fumecheng-6927	176	19	curve	curve	NOUN
fumecheng-6927	176	20	for	for	ADP
fumecheng-6927	176	21	the	the	DET
fumecheng-6927	176	22	numerical	numerical	ADJ
fumecheng-6927	176	23	procedure	procedure	NOUN
fumecheng-6927	176	24	of	of	ADP
fumecheng-6927	176	25	eq	eq	PROPN
fumecheng-6927	176	26	.	.	PUNCT
fumecheng-6927	177	1	(	(	PUNCT
fumecheng-6927	177	2	9	9	NUM
fumecheng-6927	177	3	)	)	PUNCT
fumecheng-6927	177	4	,	,	PUNCT
fumecheng-6927	177	5	the	the	DET
fumecheng-6927	177	6	left	left	ADJ
fumecheng-6927	177	7	-	-	PUNCT
fumecheng-6927	177	8	hand	hand	NOUN
fumecheng-6927	177	9	-	-	PUNCT
fumecheng-6927	177	10	side	side	NOUN
fumecheng-6927	177	11	(	(	PUNCT
fumecheng-6927	177	12	lhs	lhs	PROPN
fumecheng-6927	177	13	)	)	PUNCT
fumecheng-6927	177	14	and	and	CCONJ
fumecheng-6927	177	15	right	right	ADJ
fumecheng-6927	177	16	-	-	PUNCT
fumecheng-6927	177	17	hand	hand	NOUN
fumecheng-6927	177	18	-	-	PUNCT
fumecheng-6927	177	19	side	side	NOUN
fumecheng-6927	177	20	(	(	PUNCT
fumecheng-6927	177	21	rhs	rhs	PROPN
fumecheng-6927	177	22	)	)	PUNCT
fumecheng-6927	177	23	of	of	ADP
fumecheng-6927	177	24	eq	eq	PROPN
fumecheng-6927	177	25	.	.	PUNCT
fumecheng-6927	178	1	(	(	PUNCT
fumecheng-6927	178	2	9	9	X
fumecheng-6927	178	3	)	)	PUNCT
fumecheng-6927	178	4	are	be	AUX
fumecheng-6927	178	5	separated	separate	VERB
fumecheng-6927	178	6	according	accord	VERB
fumecheng-6927	178	7	to	to	ADP
fumecheng-6927	178	8	the	the	DET
fumecheng-6927	178	9	variable	variable	NOUN
fumecheng-6927	178	10	that	that	SCONJ
fumecheng-6927	178	11	one	one	NOUN
fumecheng-6927	178	12	wishes	wish	VERB
fumecheng-6927	178	13	to	to	PART
fumecheng-6927	178	14	solve	solve	VERB
fumecheng-6927	178	15	for	for	ADP
fumecheng-6927	178	16	(	(	PUNCT
fumecheng-6927	178	17	either	either	CCONJ
fumecheng-6927	178	18	force	force	NOUN
fumecheng-6927	178	19	or	or	CCONJ
fumecheng-6927	178	20	indentation	indentation	NOUN
fumecheng-6927	178	21	)	)	PUNCT
fumecheng-6927	178	22	.	.	PUNCT
fumecheng-6927	179	1	in	in	ADP
fumecheng-6927	179	2	the	the	DET
fumecheng-6927	179	3	case	case	NOUN
fumecheng-6927	179	4	of	of	ADP
fumecheng-6927	179	5	afm	afm	PROPN
fumecheng-6927	179	6	simulations	simulation	NOUN
fumecheng-6927	179	7	,	,	PUNCT
fumecheng-6927	179	8	the	the	DET
fumecheng-6927	179	9	known	know	VERB
fumecheng-6927	179	10	input	input	NOUN
fumecheng-6927	179	11	parameter	parameter	NOUN
fumecheng-6927	179	12	for	for	ADP
fumecheng-6927	179	13	eq	eq	PROPN
fumecheng-6927	179	14	.	.	PUNCT
fumecheng-6927	179	15	(	(	PUNCT
fumecheng-6927	179	16	9	9	NUM
fumecheng-6927	179	17	)	)	PUNCT
fumecheng-6927	179	18	at	at	ADP
fumecheng-6927	179	19	a	a	DET
fumecheng-6927	179	20	given	give	VERB
fumecheng-6927	179	21	time	time	NOUN
fumecheng-6927	179	22	step	step	NOUN
fumecheng-6927	179	23	is	be	AUX
fumecheng-6927	179	24	the	the	DET
fumecheng-6927	179	25	surface	surface	NOUN
fumecheng-6927	179	26	indentation	indentation	NOUN
fumecheng-6927	179	27	.	.	PUNCT
fumecheng-6927	180	1	this	this	PRON
fumecheng-6927	180	2	is	be	AUX
fumecheng-6927	180	3	because	because	SCONJ
fumecheng-6927	180	4	solution	solution	NOUN
fumecheng-6927	180	5	of	of	ADP
fumecheng-6927	180	6	the	the	DET
fumecheng-6927	180	7	afm	afm	PROPN
fumecheng-6927	180	8	tip	tip	PROPN
fumecheng-6927	180	9	’s	’s	PART
fumecheng-6927	180	10	equation	equation	NOUN
fumecheng-6927	180	11	of	of	ADP
fumecheng-6927	180	12	motion	motion	NOUN
fumecheng-6927	180	13	(	(	PUNCT
fumecheng-6927	180	14	e.g.	e.g.	ADV
fumecheng-6927	180	15	,	,	PUNCT
fumecheng-6927	180	16	the	the	DET
fumecheng-6927	180	17	harmonic	harmonic	ADJ
fumecheng-6927	180	18	oscillator	oscillator	NOUN
fumecheng-6927	180	19	model	model	NOUN
fumecheng-6927	180	20	[	[	X
fumecheng-6927	180	21	30	30	NUM
fumecheng-6927	180	22	]	]	SYM
fumecheng-6927	180	23	)	)	PUNCT
fumecheng-6927	180	24	yields	yield	VERB
fumecheng-6927	180	25	the	the	DET
fumecheng-6927	180	26	trajectory	trajectory	NOUN
fumecheng-6927	180	27	of	of	ADP
fumecheng-6927	180	28	the	the	DET
fumecheng-6927	180	29	tip	tip	NOUN
fumecheng-6927	180	30	,	,	PUNCT
fumecheng-6927	180	31	from	from	ADP
fumecheng-6927	180	32	which	which	PRON
fumecheng-6927	180	33	we	we	PRON
fumecheng-6927	180	34	can	can	AUX
fumecheng-6927	180	35	calculate	calculate	VERB
fumecheng-6927	180	36	the	the	DET
fumecheng-6927	180	37	indentation	indentation	NOUN
fumecheng-6927	180	38	(	(	PUNCT
fumecheng-6927	180	39	details	detail	NOUN
fumecheng-6927	180	40	of	of	ADP
fumecheng-6927	180	41	this	this	PRON
fumecheng-6927	180	42	will	will	AUX
fumecheng-6927	180	43	be	be	AUX
fumecheng-6927	180	44	provided	provide	VERB
fumecheng-6927	180	45	in	in	ADP
fumecheng-6927	180	46	section	section	NOUN
fumecheng-6927	180	47	3	3	NUM
fumecheng-6927	180	48	.	.	PUNCT
fumecheng-6927	181	1	thus	thus	ADV
fumecheng-6927	181	2	,	,	PUNCT
fumecheng-6927	181	3	the	the	DET
fumecheng-6927	181	4	input	input	NOUN
fumecheng-6927	181	5	for	for	ADP
fumecheng-6927	181	6	the	the	DET
fumecheng-6927	181	7	viscoelastic	viscoelastic	ADJ
fumecheng-6927	181	8	governing	govern	VERB
fumecheng-6927	181	9	equation	equation	NOUN
fumecheng-6927	181	10	(	(	PUNCT
fumecheng-6927	181	11	eq	eq	NOUN
fumecheng-6927	181	12	.	.	PUNCT
fumecheng-6927	182	1	(	(	PUNCT
fumecheng-6927	182	2	9	9	NUM
fumecheng-6927	182	3	)	)	PUNCT
fumecheng-6927	182	4	)	)	PUNCT
fumecheng-6927	182	5	is	be	AUX
fumecheng-6927	182	6	the	the	DET
fumecheng-6927	182	7	indentation	indentation	NOUN
fumecheng-6927	182	8	,	,	PUNCT
fumecheng-6927	182	9	and	and	CCONJ
fumecheng-6927	182	10	the	the	DET
fumecheng-6927	182	11	output	output	NOUN
fumecheng-6927	182	12	is	be	AUX
fumecheng-6927	182	13	the	the	DET
fumecheng-6927	182	14	force	force	NOUN
fumecheng-6927	182	15	(	(	PUNCT
fumecheng-6927	182	16	the	the	DET
fumecheng-6927	182	17	tip	tip	NOUN
fumecheng-6927	182	18	-	-	PUNCT
fumecheng-6927	182	19	sample	sample	NOUN
fumecheng-6927	182	20	force	force	NOUN
fumecheng-6927	182	21	)	)	PUNCT
fumecheng-6927	182	22	.	.	PUNCT
fumecheng-6927	183	1	the	the	DET
fumecheng-6927	183	2	first	first	ADJ
fumecheng-6927	183	3	step	step	NOUN
fumecheng-6927	183	4	in	in	ADP
fumecheng-6927	183	5	solving	solve	VERB
fumecheng-6927	183	6	numerically	numerically	ADV
fumecheng-6927	183	7	eq	eq	ADP
fumecheng-6927	183	8	.	.	PUNCT
fumecheng-6927	184	1	(	(	PUNCT
fumecheng-6927	184	2	9	9	NUM
fumecheng-6927	184	3	)	)	PUNCT
fumecheng-6927	184	4	is	be	AUX
fumecheng-6927	184	5	to	to	PART
fumecheng-6927	184	6	calculate	calculate	VERB
fumecheng-6927	184	7	all	all	DET
fumecheng-6927	184	8	higher	high	ADJ
fumecheng-6927	184	9	order	order	NOUN
fumecheng-6927	184	10	derivatives	derivative	NOUN
fumecheng-6927	184	11	on	on	ADP
fumecheng-6927	184	12	the	the	DET
fumecheng-6927	184	13	lhs	lhs	PROPN
fumecheng-6927	184	14	using	use	VERB
fumecheng-6927	184	15	the	the	DET
fumecheng-6927	184	16	indentation	indentation	NOUN
fumecheng-6927	184	17	as	as	ADP
fumecheng-6927	184	18	the	the	DET
fumecheng-6927	184	19	initial	initial	ADJ
fumecheng-6927	184	20	input	input	NOUN
fumecheng-6927	184	21	(	(	PUNCT
fumecheng-6927	184	22	calculated	calculate	VERB
fumecheng-6927	184	23	from	from	ADP
fumecheng-6927	184	24	the	the	DET
fumecheng-6927	184	25	afm	afm	PROPN
fumecheng-6927	184	26	tip	tip	PROPN
fumecheng-6927	184	27	trajectory	trajectory	NOUN
fumecheng-6927	184	28	)	)	PUNCT
fumecheng-6927	184	29	.	.	PUNCT
fumecheng-6927	185	1	specifically	specifically	ADV
fumecheng-6927	185	2	,	,	PUNCT
fumecheng-6927	185	3	the	the	DET
fumecheng-6927	185	4	tip	tip	NOUN
fumecheng-6927	185	5	position	position	NOUN
fumecheng-6927	185	6	at	at	ADP
fumecheng-6927	185	7	the	the	DET
fumecheng-6927	185	8	ith	ith	PROPN
fumecheng-6927	185	9	time	time	NOUN
fumecheng-6927	185	10	step	step	NOUN
fumecheng-6927	185	11	,	,	PUNCT
fumecheng-6927	185	12	hi	hi	INTJ
fumecheng-6927	185	13	,	,	PUNCT
fumecheng-6927	185	14	provides	provide	VERB
fumecheng-6927	185	15	the	the	DET
fumecheng-6927	185	16	information	information	NOUN
fumecheng-6927	185	17	needed	need	VERB
fumecheng-6927	185	18	to	to	PART
fumecheng-6927	185	19	calculate	calculate	VERB
fumecheng-6927	185	20	the	the	DET
fumecheng-6927	185	21	zero	zero	NUM
fumecheng-6927	185	22	-	-	PUNCT
fumecheng-6927	185	23	order	order	NOUN
fumecheng-6927	185	24	derivative	derivative	NOUN
fumecheng-6927	185	25	on	on	ADP
fumecheng-6927	185	26	the	the	DET
fumecheng-6927	185	27	lhs	lhs	PROPN
fumecheng-6927	185	28	of	of	ADP
fumecheng-6927	185	29	the	the	DET
fumecheng-6927	185	30	equation	equation	NOUN
fumecheng-6927	185	31	,	,	PUNCT
fumecheng-6927	185	32	namely	namely	ADV
fumecheng-6927	185	33	the	the	DET
fumecheng-6927	185	34	term	term	NOUN
fumecheng-6927	185	35	p	p	NOUN
fumecheng-6927	185	36	=	=	NOUN
fumecheng-6927	185	37	h(t)3/2	h(t)3/2	NUM
fumecheng-6927	185	38	.	.	PUNCT
fumecheng-6927	186	1	however	however	ADV
fumecheng-6927	186	2	,	,	PUNCT
fumecheng-6927	186	3	since	since	SCONJ
fumecheng-6927	186	4	we	we	PRON
fumecheng-6927	186	5	know	know	VERB
fumecheng-6927	186	6	that	that	SCONJ
fumecheng-6927	186	7	depression	depression	NOUN
fumecheng-6927	186	8	of	of	ADP
fumecheng-6927	186	9	the	the	DET
fumecheng-6927	186	10	surface	surface	NOUN
fumecheng-6927	186	11	will	will	AUX
fumecheng-6927	186	12	lead	lead	VERB
fumecheng-6927	186	13	a	a	DET
fumecheng-6927	186	14	positive	positive	ADJ
fumecheng-6927	186	15	(	(	PUNCT
fumecheng-6927	186	16	upward	upward	ADJ
fumecheng-6927	186	17	)	)	PUNCT
fumecheng-6927	186	18	force	force	NOUN
fumecheng-6927	186	19	exerted	exert	VERB
fumecheng-6927	186	20	by	by	ADP
fumecheng-6927	186	21	the	the	DET
fumecheng-6927	186	22	sample	sample	NOUN
fumecheng-6927	186	23	on	on	ADP
fumecheng-6927	186	24	the	the	DET
fumecheng-6927	186	25	afm	afm	PROPN
fumecheng-6927	186	26	tip	tip	NOUN
fumecheng-6927	186	27	,	,	PUNCT
fumecheng-6927	186	28	we	we	PRON
fumecheng-6927	186	29	must	must	AUX
fumecheng-6927	186	30	change	change	VERB
fumecheng-6927	186	31	the	the	DET
fumecheng-6927	186	32	sign	sign	NOUN
fumecheng-6927	186	33	of	of	ADP
fumecheng-6927	186	34	hi	hi	INTJ
fumecheng-6927	186	35	when	when	SCONJ
fumecheng-6927	186	36	calculating	calculate	VERB
fumecheng-6927	186	37	the	the	DET
fumecheng-6927	186	38	zero	zero	NUM
fumecheng-6927	186	39	-	-	PUNCT
fumecheng-6927	186	40	order	order	NOUN
fumecheng-6927	186	41	derivative	derivative	NOUN
fumecheng-6927	186	42	of	of	ADP
fumecheng-6927	186	43	the	the	DET
fumecheng-6927	186	44	deformation	deformation	NOUN
fumecheng-6927	186	45	term	term	NOUN
fumecheng-6927	186	46	:	:	PUNCT
fumecheng-6927	186	47	𝑝𝑖	𝑝𝑖	NOUN
fumecheng-6927	186	48	=	=	SYM
fumecheng-6927	186	49	(	(	PUNCT
fumecheng-6927	186	50	−ℎ𝑖)3/2	−ℎ𝑖)3/2	PROPN
fumecheng-6927	186	51	(	(	PUNCT
fumecheng-6927	186	52	17	17	NUM
fumecheng-6927	186	53	)	)	PUNCT
fumecheng-6927	186	54	we	we	PRON
fumecheng-6927	186	55	can	can	AUX
fumecheng-6927	186	56	now	now	ADV
fumecheng-6927	186	57	calculate	calculate	VERB
fumecheng-6927	186	58	the	the	DET
fumecheng-6927	186	59	rest	rest	NOUN
fumecheng-6927	186	60	of	of	ADP
fumecheng-6927	186	61	the	the	DET
fumecheng-6927	186	62	derivatives	derivative	NOUN
fumecheng-6927	186	63	on	on	ADP
fumecheng-6927	186	64	the	the	DET
fumecheng-6927	186	65	lhs	lhs	PROPN
fumecheng-6927	186	66	of	of	ADP
fumecheng-6927	186	67	eq	eq	PROPN
fumecheng-6927	186	68	.	.	PUNCT
fumecheng-6927	187	1	(	(	PUNCT
fumecheng-6927	187	2	9	9	X
fumecheng-6927	187	3	)	)	PUNCT
fumecheng-6927	187	4	using	use	VERB
fumecheng-6927	187	5	the	the	DET
fumecheng-6927	187	6	finite	finite	ADJ
fumecheng-6927	187	7	difference	difference	NOUN
fumecheng-6927	187	8	method	method	NOUN
fumecheng-6927	187	9	[	[	X
fumecheng-6927	187	10	42	42	NUM
fumecheng-6927	187	11	,	,	PUNCT
fumecheng-6927	187	12	43	43	NUM
fumecheng-6927	187	13	]	]	PUNCT
fumecheng-6927	187	14	.	.	PUNCT
fumecheng-6927	188	1	for	for	ADP
fumecheng-6927	188	2	example	example	NOUN
fumecheng-6927	188	3	,	,	PUNCT
fumecheng-6927	188	4	for	for	ADP
fumecheng-6927	188	5	the	the	DET
fumecheng-6927	188	6	first	first	ADJ
fumecheng-6927	188	7	order	order	NOUN
fumecheng-6927	188	8	derivative	derivative	NOUN
fumecheng-6927	188	9	(	(	PUNCT
fumecheng-6927	188	10	𝑑𝑝	𝑑𝑝	ADV
fumecheng-6927	188	11	dt	dt	X
fumecheng-6927	188	12	=	=	SYM
fumecheng-6927	188	13	�	�	PROPN
fumecheng-6927	188	14	̇	̇	PROPN
fumecheng-6927	188	15	�	�	PROPN
fumecheng-6927	188	16	𝑖	𝑖	NOUN
fumecheng-6927	188	17	)	)	PUNCT
fumecheng-6927	188	18	the	the	DET
fumecheng-6927	188	19	numerical	numerical	ADJ
fumecheng-6927	188	20	approximation	approximation	NOUN
fumecheng-6927	188	21	using	use	VERB
fumecheng-6927	188	22	backward	backward	ADJ
fumecheng-6927	188	23	difference	difference	NOUN
fumecheng-6927	188	24	[	[	X
fumecheng-6927	188	25	42	42	NUM
fumecheng-6927	188	26	]	]	PUNCT
fumecheng-6927	188	27	becomes	become	VERB
fumecheng-6927	188	28	:	:	PUNCT
fumecheng-6927	188	29	�	�	PROPN
fumecheng-6927	188	30	̇	̇	PROPN
fumecheng-6927	188	31	�	�	PROPN
fumecheng-6927	188	32	𝑖	𝑖	SYM
fumecheng-6927	188	33	=	=	NOUN
fumecheng-6927	188	34	𝑝𝑖	𝑝𝑖	PROPN
fumecheng-6927	188	35	−	−	PROPN
fumecheng-6927	188	36	𝑝𝑖−1	𝑝𝑖−1	PROPN
fumecheng-6927	188	37	δ𝑡	δ𝑡	PROPN
fumecheng-6927	188	38	(	(	PUNCT
fumecheng-6927	188	39	18	18	NUM
fumecheng-6927	188	40	)	)	PUNCT
fumecheng-6927	188	41	where	where	SCONJ
fumecheng-6927	188	42	pi=(-hi)3/2	pi=(-hi)3/2	PROPN
fumecheng-6927	188	43	corresponds	correspond	VERB
fumecheng-6927	188	44	to	to	ADP
fumecheng-6927	188	45	the	the	DET
fumecheng-6927	188	46	ith	ith	PROPN
fumecheng-6927	188	47	time	time	NOUN
fumecheng-6927	188	48	step	step	NOUN
fumecheng-6927	188	49	,	,	PUNCT
fumecheng-6927	188	50	as	as	SCONJ
fumecheng-6927	188	51	indicated	indicate	VERB
fumecheng-6927	188	52	in	in	ADP
fumecheng-6927	188	53	eq	eq	ADP
fumecheng-6927	188	54	.	.	PUNCT
fumecheng-6927	189	1	(	(	PUNCT
fumecheng-6927	189	2	17	17	NUM
fumecheng-6927	189	3	)	)	PUNCT
fumecheng-6927	189	4	,	,	PUNCT
fumecheng-6927	189	5	and	and	CCONJ
fumecheng-6927	189	6	pi-1=(-hi-1)3/2	pi-1=(-hi-1)3/2	PROPN
fumecheng-6927	189	7	is	be	AUX
fumecheng-6927	189	8	the	the	DET
fumecheng-6927	189	9	analogous	analogous	ADJ
fumecheng-6927	189	10	term	term	NOUN
fumecheng-6927	189	11	corresponding	correspond	VERB
fumecheng-6927	189	12	to	to	ADP
fumecheng-6927	189	13	the	the	DET
fumecheng-6927	189	14	previous	previous	ADJ
fumecheng-6927	189	15	time	time	NOUN
fumecheng-6927	189	16	step	step	NOUN
fumecheng-6927	189	17	,	,	PUNCT
fumecheng-6927	189	18	(	(	PUNCT
fumecheng-6927	189	19	i–1	i–1	NOUN
fumecheng-6927	189	20	)	)	PUNCT
fumecheng-6927	189	21	.	.	PUNCT
fumecheng-6927	190	1	the	the	DET
fumecheng-6927	190	2	finite	finite	ADJ
fumecheng-6927	190	3	time	time	NOUN
fumecheng-6927	190	4	step	step	NOUN
fumecheng-6927	190	5	is	be	AUX
fumecheng-6927	190	6	denoted	denote	VERB
fumecheng-6927	190	7	by	by	ADP
fumecheng-6927	190	8	δ𝑡.	δ𝑡.	PROPN
fumecheng-6927	190	9	also	also	ADV
fumecheng-6927	190	10	note	note	VERB
fumecheng-6927	190	11	that	that	SCONJ
fumecheng-6927	190	12	at	at	ADP
fumecheng-6927	190	13	t	t	PROPN
fumecheng-6927	190	14	=	=	SYM
fumecheng-6927	190	15	0	0	NUM
fumecheng-6927	190	16	,	,	PUNCT
fumecheng-6927	190	17	all	all	DET
fumecheng-6927	190	18	higher	high	ADJ
fumecheng-6927	190	19	order	order	NOUN
fumecheng-6927	190	20	derivatives	derivative	NOUN
fumecheng-6927	190	21	on	on	ADP
fumecheng-6927	190	22	the	the	DET
fumecheng-6927	190	23	lhs	lhs	PROPN
fumecheng-6927	190	24	are	be	AUX
fumecheng-6927	190	25	initially	initially	ADV
fumecheng-6927	190	26	set	set	VERB
fumecheng-6927	190	27	to	to	ADP
fumecheng-6927	190	28	zero	zero	NUM
fumecheng-6927	190	29	:	:	PUNCT
fumecheng-6927	190	30	�	�	PROPN
fumecheng-6927	190	31	̇	̇	PROPN
fumecheng-6927	190	32	�	�	PROPN
fumecheng-6927	190	33	𝑖=0	𝑖=0	PROPN
fumecheng-6927	190	34	=	=	SYM
fumecheng-6927	190	35	0	0	NUM
fumecheng-6927	190	36	,	,	PUNCT
fumecheng-6927	190	37	�	�	NOUN
fumecheng-6927	190	38	̈	̈	X
fumecheng-6927	190	39	�	�	NOUN
fumecheng-6927	190	40	𝑖=0	𝑖=0	SYM
fumecheng-6927	190	41	=	=	SYM
fumecheng-6927	190	42	0	0	NUM
fumecheng-6927	190	43	,	,	PUNCT
fumecheng-6927	190	44	𝑝𝑖=0	𝑝𝑖=0	ADJ
fumecheng-6927	190	45	=	=	SYM
fumecheng-6927	190	46	0	0	NUM
fumecheng-6927	190	47	,	,	PUNCT
fumecheng-6927	190	48	etc	etc	X
fumecheng-6927	190	49	.	.	X
fumecheng-6927	190	50	,	,	PUNCT
fumecheng-6927	190	51	and	and	CCONJ
fumecheng-6927	190	52	only	only	ADV
fumecheng-6927	190	53	p0=(-h0)3/2	p0=(-h0)3/2	PROPN
fumecheng-6927	190	54	has	have	VERB
fumecheng-6927	190	55	a	a	DET
fumecheng-6927	190	56	non	non	ADJ
fumecheng-6927	190	57	-	-	ADJ
fumecheng-6927	190	58	zero	zero	NUM
fumecheng-6927	190	59	value	value	NOUN
fumecheng-6927	190	60	,	,	PUNCT
fumecheng-6927	190	61	with	with	ADP
fumecheng-6927	190	62	h0	h0	PROPN
fumecheng-6927	190	63	being	be	AUX
fumecheng-6927	190	64	the	the	DET
fumecheng-6927	190	65	initial	initial	ADJ
fumecheng-6927	190	66	sample	sample	NOUN
fumecheng-6927	190	67	deformation	deformation	NOUN
fumecheng-6927	190	68	at	at	ADP
fumecheng-6927	190	69	time	time	NOUN
fumecheng-6927	190	70	zero	zero	NUM
fumecheng-6927	190	71	.	.	PUNCT
fumecheng-6927	191	1	the	the	DET
fumecheng-6927	191	2	higher	high	ADJ
fumecheng-6927	191	3	order	order	NOUN
fumecheng-6927	191	4	derivatives	derivative	NOUN
fumecheng-6927	191	5	at	at	ADP
fumecheng-6927	191	6	each	each	DET
fumecheng-6927	191	7	time	time	NOUN
fumecheng-6927	191	8	step	step	NOUN
fumecheng-6927	191	9	are	be	AUX
fumecheng-6927	191	10	determined	determine	VERB
fumecheng-6927	191	11	similarly	similarly	ADV
fumecheng-6927	191	12	,	,	PUNCT
fumecheng-6927	191	13	using	use	VERB
fumecheng-6927	191	14	eq	eq	ADP
fumecheng-6927	191	15	.	.	PUNCT
fumecheng-6927	192	1	(	(	PUNCT
fumecheng-6927	192	2	19	19	NUM
fumecheng-6927	192	3	)	)	PUNCT
fumecheng-6927	192	4	and	and	CCONJ
fumecheng-6927	192	5	eq	eq	NOUN
fumecheng-6927	192	6	.	.	PUNCT
fumecheng-6927	193	1	(	(	PUNCT
fumecheng-6927	193	2	20	20	NUM
fumecheng-6927	193	3	):	):	PUNCT
fumecheng-6927	193	4	�	�	PROPN
fumecheng-6927	193	5	̈	̈	X
fumecheng-6927	193	6	�	�	NOUN
fumecheng-6927	193	7	𝑖	𝑖	SYM
fumecheng-6927	193	8	=	=	SYM
fumecheng-6927	193	9	�	�	PROPN
fumecheng-6927	193	10	̇	̇	PROPN
fumecheng-6927	193	11	�	�	PROPN
fumecheng-6927	193	12	𝑖−	𝑖−	PROPN
fumecheng-6927	193	13	�	�	PROPN
fumecheng-6927	193	14	̇	̇	PROPN
fumecheng-6927	193	15	�	�	PROPN
fumecheng-6927	193	16	𝑖−1	𝑖−1	PROPN
fumecheng-6927	193	17	δ𝑡	δ𝑡	X
fumecheng-6927	193	18	(	(	PUNCT
fumecheng-6927	193	19	19	19	NUM
fumecheng-6927	193	20	)	)	PUNCT
fumecheng-6927	193	21	…	…	PUNCT
fumecheng-6927	193	22	𝑝𝑖	𝑝𝑖	X
fumecheng-6927	193	23	𝑁	𝑁	PROPN
fumecheng-6927	193	24	=	=	PUNCT
fumecheng-6927	193	25	𝑝𝑖	𝑝𝑖	NOUN
fumecheng-6927	193	26	𝑁−1	𝑁−1	NOUN
fumecheng-6927	193	27	−	−	PUNCT
fumecheng-6927	193	28	𝑝𝑖−1	𝑝𝑖−1	PROPN
fumecheng-6927	193	29	𝑁−1	𝑁−1	NOUN
fumecheng-6927	193	30	δ𝑡	δ𝑡	X
fumecheng-6927	193	31	(	(	PUNCT
fumecheng-6927	193	32	20	20	NUM
fumecheng-6927	193	33	)	)	PUNCT
fumecheng-6927	193	34	142	142	NUM
fumecheng-6927	193	35	m.	m.	NOUN
fumecheng-6927	193	36	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	193	37	,	,	PUNCT
fumecheng-6927	193	38	e.	e.	PROPN
fumecheng-6927	193	39	a.	a.	PROPN
fumecheng-6927	193	40	lópez	lópez	PROPN
fumecheng-6927	193	41	-	-	PUNCT
fumecheng-6927	193	42	guerra	guerra	PROPN
fumecheng-6927	193	43	,	,	PUNCT
fumecheng-6927	193	44	s.	s.	PROPN
fumecheng-6927	193	45	d.	d.	PROPN
fumecheng-6927	193	46	solares	solare	VERB
fumecheng-6927	193	47	where	where	SCONJ
fumecheng-6927	193	48	n	n	PRON
fumecheng-6927	193	49	is	be	AUX
fumecheng-6927	193	50	the	the	DET
fumecheng-6927	193	51	number	number	NOUN
fumecheng-6927	193	52	of	of	ADP
fumecheng-6927	193	53	characteristic	characteristic	ADJ
fumecheng-6927	193	54	times	time	NOUN
fumecheng-6927	193	55	in	in	ADP
fumecheng-6927	193	56	the	the	DET
fumecheng-6927	193	57	viscoelastic	viscoelastic	ADJ
fumecheng-6927	193	58	model	model	NOUN
fumecheng-6927	193	59	.	.	PUNCT
fumecheng-6927	194	1	the	the	DET
fumecheng-6927	194	2	key	key	NOUN
fumecheng-6927	194	3	for	for	ADP
fumecheng-6927	194	4	this	this	DET
fumecheng-6927	194	5	numerical	numerical	ADJ
fumecheng-6927	194	6	approach	approach	NOUN
fumecheng-6927	194	7	is	be	AUX
fumecheng-6927	194	8	to	to	PART
fumecheng-6927	194	9	respect	respect	VERB
fumecheng-6927	194	10	the	the	DET
fumecheng-6927	194	11	order	order	NOUN
fumecheng-6927	194	12	of	of	ADP
fumecheng-6927	194	13	calculation	calculation	NOUN
fumecheng-6927	194	14	of	of	ADP
fumecheng-6927	194	15	derivatives	derivative	NOUN
fumecheng-6927	194	16	.	.	PUNCT
fumecheng-6927	195	1	when	when	SCONJ
fumecheng-6927	195	2	the	the	DET
fumecheng-6927	195	3	input	input	NOUN
fumecheng-6927	195	4	parameter	parameter	NOUN
fumecheng-6927	195	5	is	be	AUX
fumecheng-6927	195	6	the	the	DET
fumecheng-6927	195	7	deformation	deformation	NOUN
fumecheng-6927	195	8	,	,	PUNCT
fumecheng-6927	195	9	as	as	SCONJ
fumecheng-6927	195	10	in	in	ADP
fumecheng-6927	195	11	this	this	DET
fumecheng-6927	195	12	example	example	NOUN
fumecheng-6927	195	13	,	,	PUNCT
fumecheng-6927	195	14	the	the	DET
fumecheng-6927	195	15	lowest	low	ADJ
fumecheng-6927	195	16	-	-	PUNCT
fumecheng-6927	195	17	order	order	NOUN
fumecheng-6927	195	18	derivative	derivative	NOUN
fumecheng-6927	195	19	of	of	ADP
fumecheng-6927	195	20	the	the	DET
fumecheng-6927	195	21	deformation	deformation	NOUN
fumecheng-6927	195	22	term	term	NOUN
fumecheng-6927	195	23	must	must	AUX
fumecheng-6927	195	24	be	be	AUX
fumecheng-6927	195	25	calculated	calculate	VERB
fumecheng-6927	195	26	first	first	ADV
fumecheng-6927	195	27	,	,	PUNCT
fumecheng-6927	195	28	followed	follow	VERB
fumecheng-6927	195	29	by	by	ADP
fumecheng-6927	195	30	the	the	DET
fumecheng-6927	195	31	calculation	calculation	NOUN
fumecheng-6927	195	32	of	of	ADP
fumecheng-6927	195	33	the	the	DET
fumecheng-6927	195	34	higher	high	ADJ
fumecheng-6927	195	35	order	order	NOUN
fumecheng-6927	195	36	derivatives	derivative	NOUN
fumecheng-6927	195	37	in	in	ADP
fumecheng-6927	195	38	ascending	ascend	VERB
fumecheng-6927	195	39	order	order	NOUN
fumecheng-6927	195	40	.	.	PUNCT
fumecheng-6927	196	1	once	once	ADV
fumecheng-6927	196	2	all	all	DET
fumecheng-6927	196	3	the	the	DET
fumecheng-6927	196	4	derivatives	derivative	NOUN
fumecheng-6927	196	5	of	of	ADP
fumecheng-6927	196	6	indentation	indentation	NOUN
fumecheng-6927	196	7	have	have	AUX
fumecheng-6927	196	8	been	be	AUX
fumecheng-6927	196	9	calculated	calculate	VERB
fumecheng-6927	196	10	,	,	PUNCT
fumecheng-6927	196	11	it	it	PRON
fumecheng-6927	196	12	is	be	AUX
fumecheng-6927	196	13	time	time	NOUN
fumecheng-6927	196	14	to	to	PART
fumecheng-6927	196	15	focus	focus	VERB
fumecheng-6927	196	16	on	on	ADP
fumecheng-6927	196	17	the	the	DET
fumecheng-6927	196	18	rhs	rhs	PROPN
fumecheng-6927	196	19	of	of	ADP
fumecheng-6927	196	20	eq	eq	PROPN
fumecheng-6927	196	21	.	.	PUNCT
fumecheng-6927	197	1	(	(	PUNCT
fumecheng-6927	197	2	9	9	NUM
fumecheng-6927	197	3	)	)	PUNCT
fumecheng-6927	197	4	.	.	PUNCT
fumecheng-6927	198	1	when	when	SCONJ
fumecheng-6927	198	2	calculating	calculate	VERB
fumecheng-6927	198	3	the	the	DET
fumecheng-6927	198	4	rhs	rhs	PROPN
fumecheng-6927	198	5	of	of	ADP
fumecheng-6927	198	6	eq	eq	PROPN
fumecheng-6927	198	7	.	.	PUNCT
fumecheng-6927	199	1	(	(	PUNCT
fumecheng-6927	199	2	9	9	NUM
fumecheng-6927	199	3	)	)	PUNCT
fumecheng-6927	199	4	,	,	PUNCT
fumecheng-6927	199	5	we	we	PRON
fumecheng-6927	199	6	use	use	VERB
fumecheng-6927	199	7	the	the	DET
fumecheng-6927	199	8	reverse	reverse	ADJ
fumecheng-6927	199	9	strategy	strategy	NOUN
fumecheng-6927	199	10	described	describe	VERB
fumecheng-6927	199	11	in	in	ADP
fumecheng-6927	199	12	the	the	DET
fumecheng-6927	199	13	previous	previous	ADJ
fumecheng-6927	199	14	subsection	subsection	NOUN
fumecheng-6927	199	15	.	.	PUNCT
fumecheng-6927	200	1	in	in	ADP
fumecheng-6927	200	2	this	this	DET
fumecheng-6927	200	3	case	case	NOUN
fumecheng-6927	200	4	,	,	PUNCT
fumecheng-6927	200	5	we	we	PRON
fumecheng-6927	200	6	solve	solve	VERB
fumecheng-6927	200	7	first	first	ADV
fumecheng-6927	200	8	for	for	ADP
fumecheng-6927	200	9	the	the	DET
fumecheng-6927	200	10	highest	high	ADJ
fumecheng-6927	200	11	-	-	PUNCT
fumecheng-6927	200	12	order	order	NOUN
fumecheng-6927	200	13	force	force	NOUN
fumecheng-6927	200	14	derivative	derivative	NOUN
fumecheng-6927	200	15	,	,	PUNCT
fumecheng-6927	200	16	and	and	CCONJ
fumecheng-6927	200	17	then	then	ADV
fumecheng-6927	200	18	from	from	ADP
fumecheng-6927	200	19	it	it	PRON
fumecheng-6927	200	20	we	we	PRON
fumecheng-6927	200	21	calculate	calculate	VERB
fumecheng-6927	200	22	the	the	DET
fumecheng-6927	200	23	lower	low	ADJ
fumecheng-6927	200	24	-	-	PUNCT
fumecheng-6927	200	25	order	order	NOUN
fumecheng-6927	200	26	derivatives	derivative	NOUN
fumecheng-6927	200	27	of	of	ADP
fumecheng-6927	200	28	the	the	DET
fumecheng-6927	200	29	force	force	NOUN
fumecheng-6927	200	30	.	.	PUNCT
fumecheng-6927	201	1	as	as	ADP
fumecheng-6927	201	2	a	a	DET
fumecheng-6927	201	3	first	first	ADJ
fumecheng-6927	201	4	step	step	NOUN
fumecheng-6927	201	5	,	,	PUNCT
fumecheng-6927	201	6	we	we	PRON
fumecheng-6927	201	7	rearrange	rearrange	VERB
fumecheng-6927	201	8	eq	eq	ADP
fumecheng-6927	201	9	.	.	PUNCT
fumecheng-6927	202	1	(	(	PUNCT
fumecheng-6927	202	2	9	9	NUM
fumecheng-6927	202	3	)	)	PUNCT
fumecheng-6927	202	4	and	and	CCONJ
fumecheng-6927	202	5	solve	solve	VERB
fumecheng-6927	202	6	for	for	ADP
fumecheng-6927	202	7	the	the	DET
fumecheng-6927	202	8	highest	high	ADJ
fumecheng-6927	202	9	force	force	NOUN
fumecheng-6927	202	10	derivative	derivative	NOUN
fumecheng-6927	202	11	at	at	ADP
fumecheng-6927	202	12	the	the	DET
fumecheng-6927	202	13	ith	ith	PROPN
fumecheng-6927	202	14	time	time	NOUN
fumecheng-6927	202	15	step	step	NOUN
fumecheng-6927	202	16	(	(	PUNCT
fumecheng-6927	202	17	𝑑𝑁𝐹𝑖	𝑑𝑁𝐹𝑖	NOUN
fumecheng-6927	202	18	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	202	19	)	)	PUNCT
fumecheng-6927	202	20	introducing	introduce	VERB
fumecheng-6927	202	21	two	two	NUM
fumecheng-6927	202	22	intermediate	intermediate	ADJ
fumecheng-6927	202	23	variables	variable	NOUN
fumecheng-6927	202	24	:	:	PUNCT
fumecheng-6927	202	25	𝑑𝑁𝐹𝑖	𝑑𝑁𝐹𝑖	PROPN
fumecheng-6927	202	26	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	202	27	=	=	SYM
fumecheng-6927	202	28	𝑠𝑢𝑚𝑎𝑄𝑖	𝑠𝑢𝑚𝑎𝑄𝑖	PROPN
fumecheng-6927	202	29	–	–	PUNCT
fumecheng-6927	202	30	𝑠𝑢𝑚𝑎𝑈𝑖	𝑠𝑢𝑚𝑎𝑈𝑖	PROPN
fumecheng-6927	202	31	(	(	PUNCT
fumecheng-6927	202	32	21	21	NUM
fumecheng-6927	202	33	)	)	PUNCT
fumecheng-6927	202	34	where	where	SCONJ
fumecheng-6927	202	35	𝑠𝑢𝑚𝑎𝑄𝑖	𝑠𝑢𝑚𝑎𝑄𝑖	PROPN
fumecheng-6927	202	36	=	=	PUNCT
fumecheng-6927	202	37	𝛼	𝛼	NOUN
fumecheng-6927	202	38	𝑢𝑁	𝑢𝑁	NOUN
fumecheng-6927	203	1	[	[	X
fumecheng-6927	203	2	𝑞0𝑝𝑖	𝑞0𝑝𝑖	X
fumecheng-6927	203	3	+	+	CCONJ
fumecheng-6927	203	4	𝑞1	𝑞1	PROPN
fumecheng-6927	203	5	𝑑𝑝𝑖	𝑑𝑝𝑖	VERB
fumecheng-6927	203	6	dt	dt	NOUN
fumecheng-6927	203	7	+	+	NUM
fumecheng-6927	203	8	𝑞2	𝑞2	NOUN
fumecheng-6927	203	9	𝑑2𝑝𝑖	𝑑2𝑝𝑖	PUNCT
fumecheng-6927	203	10	𝑑𝑡2	𝑑𝑡2	NOUN
fumecheng-6927	203	11	+	+	PROPN
fumecheng-6927	203	12	.	.	PUNCT
fumecheng-6927	203	13	.	.	PUNCT
fumecheng-6927	203	14	.	.	PUNCT
fumecheng-6927	204	1	+	+	ADV
fumecheng-6927	204	2	𝑞𝑁	𝑞𝑁	PROPN
fumecheng-6927	204	3	𝑑𝑁𝑝𝑖	𝑑𝑁𝑝𝑖	PROPN
fumecheng-6927	204	4	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	204	5	]	]	PUNCT
fumecheng-6927	204	6	(	(	PUNCT
fumecheng-6927	204	7	22	22	NUM
fumecheng-6927	204	8	)	)	PUNCT
fumecheng-6927	204	9	is	be	AUX
fumecheng-6927	204	10	the	the	DET
fumecheng-6927	204	11	lhs	lhs	PROPN
fumecheng-6927	204	12	of	of	ADP
fumecheng-6927	204	13	eq	eq	PROPN
fumecheng-6927	204	14	.	.	PUNCT
fumecheng-6927	205	1	(	(	PUNCT
fumecheng-6927	205	2	9	9	NUM
fumecheng-6927	205	3	)	)	PUNCT
fumecheng-6927	205	4	,	,	PUNCT
fumecheng-6927	205	5	divided	divide	VERB
fumecheng-6927	205	6	by	by	ADP
fumecheng-6927	205	7	the	the	DET
fumecheng-6927	205	8	coefficient	coefficient	NOUN
fumecheng-6927	205	9	(	(	PUNCT
fumecheng-6927	205	10	differential	differential	ADJ
fumecheng-6927	205	11	constant	constant	ADJ
fumecheng-6927	205	12	)	)	PUNCT
fumecheng-6927	205	13	of	of	ADP
fumecheng-6927	205	14	the	the	DET
fumecheng-6927	205	15	highestorder	highestorder	PROPN
fumecheng-6927	205	16	force	force	PROPN
fumecheng-6927	205	17	derivative	derivative	NOUN
fumecheng-6927	205	18	,	,	PUNCT
fumecheng-6927	205	19	and	and	CCONJ
fumecheng-6927	205	20	where	where	SCONJ
fumecheng-6927	205	21	𝑠𝑢𝑚𝑎𝑄𝑖	𝑠𝑢𝑚𝑎𝑄𝑖	PROPN
fumecheng-6927	205	22	=	=	PUNCT
fumecheng-6927	205	23	𝛼	𝛼	NOUN
fumecheng-6927	205	24	𝑢𝑁	𝑢𝑁	NOUN
fumecheng-6927	206	1	[	[	X
fumecheng-6927	206	2	𝑞0𝑝𝑖	𝑞0𝑝𝑖	X
fumecheng-6927	206	3	+	+	CCONJ
fumecheng-6927	206	4	𝑞1	𝑞1	PROPN
fumecheng-6927	206	5	𝑑𝑝𝑖	𝑑𝑝𝑖	VERB
fumecheng-6927	206	6	dt	dt	NOUN
fumecheng-6927	206	7	+	+	NUM
fumecheng-6927	206	8	𝑞2	𝑞2	NOUN
fumecheng-6927	206	9	𝑑2𝑝𝑖	𝑑2𝑝𝑖	PUNCT
fumecheng-6927	206	10	𝑑𝑡2	𝑑𝑡2	NOUN
fumecheng-6927	206	11	+	+	PROPN
fumecheng-6927	206	12	.	.	PUNCT
fumecheng-6927	206	13	.	.	PUNCT
fumecheng-6927	206	14	.	.	PUNCT
fumecheng-6927	207	1	+	+	ADV
fumecheng-6927	207	2	𝑞𝑁	𝑞𝑁	PROPN
fumecheng-6927	207	3	𝑑𝑁𝑝𝑖	𝑑𝑁𝑝𝑖	PROPN
fumecheng-6927	207	4	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	207	5	]	]	PUNCT
fumecheng-6927	207	6	(	(	PUNCT
fumecheng-6927	207	7	23	23	NUM
fumecheng-6927	207	8	)	)	PUNCT
fumecheng-6927	207	9	is	be	AUX
fumecheng-6927	207	10	the	the	DET
fumecheng-6927	207	11	rhs	rhs	PROPN
fumecheng-6927	207	12	of	of	ADP
fumecheng-6927	207	13	eq	eq	PROPN
fumecheng-6927	207	14	.	.	PUNCT
fumecheng-6927	208	1	(	(	PUNCT
fumecheng-6927	208	2	9	9	NUM
fumecheng-6927	208	3	)	)	PUNCT
fumecheng-6927	208	4	,	,	PUNCT
fumecheng-6927	208	5	with	with	ADP
fumecheng-6927	208	6	the	the	DET
fumecheng-6927	208	7	highest	high	ADJ
fumecheng-6927	208	8	-	-	PUNCT
fumecheng-6927	208	9	order	order	NOUN
fumecheng-6927	208	10	derivative	derivative	ADJ
fumecheng-6927	208	11	term	term	NOUN
fumecheng-6927	208	12	removed	remove	VERB
fumecheng-6927	208	13	,	,	PUNCT
fumecheng-6927	208	14	divided	divide	VERB
fumecheng-6927	208	15	by	by	ADP
fumecheng-6927	208	16	the	the	DET
fumecheng-6927	208	17	differential	differential	ADJ
fumecheng-6927	208	18	constant	constant	ADJ
fumecheng-6927	208	19	of	of	ADP
fumecheng-6927	208	20	the	the	DET
fumecheng-6927	208	21	highest	high	ADJ
fumecheng-6927	208	22	-	-	PUNCT
fumecheng-6927	208	23	order	order	NOUN
fumecheng-6927	208	24	force	force	NOUN
fumecheng-6927	208	25	derivative	derivative	NOUN
fumecheng-6927	208	26	.	.	PUNCT
fumecheng-6927	209	1	note	note	VERB
fumecheng-6927	209	2	that	that	SCONJ
fumecheng-6927	209	3	in	in	ADP
fumecheng-6927	209	4	calculating	calculate	VERB
fumecheng-6927	209	5	the	the	DET
fumecheng-6927	209	6	variable	variable	ADJ
fumecheng-6927	209	7	𝑠𝑢𝑚𝑎𝑈𝑖	𝑠𝑢𝑚𝑎𝑈𝑖	PROPN
fumecheng-6927	209	8	we	we	PRON
fumecheng-6927	209	9	use	use	VERB
fumecheng-6927	209	10	the	the	DET
fumecheng-6927	209	11	force	force	NOUN
fumecheng-6927	209	12	derivatives	derivative	NOUN
fumecheng-6927	209	13	of	of	ADP
fumecheng-6927	209	14	the	the	DET
fumecheng-6927	209	15	previous	previous	ADJ
fumecheng-6927	209	16	time	time	NOUN
fumecheng-6927	209	17	step	step	NOUN
fumecheng-6927	209	18	,	,	PUNCT
fumecheng-6927	209	19	(	(	PUNCT
fumecheng-6927	209	20	𝑖	𝑖	NOUN
fumecheng-6927	209	21	−	−	PROPN
fumecheng-6927	209	22	1	1	NUM
fumecheng-6927	209	23	)	)	PUNCT
fumecheng-6927	209	24	,	,	PUNCT
fumecheng-6927	209	25	,	,	PUNCT
fumecheng-6927	209	26	instead	instead	ADV
fumecheng-6927	209	27	of	of	ADP
fumecheng-6927	209	28	the	the	DET
fumecheng-6927	209	29	current	current	ADJ
fumecheng-6927	209	30	time	time	NOUN
fumecheng-6927	209	31	step	step	NOUN
fumecheng-6927	209	32	.	.	PUNCT
fumecheng-6927	210	1	recall	recall	VERB
fumecheng-6927	210	2	also	also	ADV
fumecheng-6927	210	3	that	that	SCONJ
fumecheng-6927	210	4			X
fumecheng-6927	210	5	=	=	SYM
fumecheng-6927	211	1	16√𝑅	16√𝑅	NUM
fumecheng-6927	211	2	3	3	NUM
fumecheng-6927	211	3	for	for	ADP
fumecheng-6927	211	4	an	an	DET
fumecheng-6927	211	5	incompressible	incompressible	ADJ
fumecheng-6927	211	6	material	material	NOUN
fumecheng-6927	211	7	,	,	PUNCT
fumecheng-6927	211	8	and	and	CCONJ
fumecheng-6927	211	9	p(t	p(t	NOUN
fumecheng-6927	211	10	)	)	PUNCT
fumecheng-6927	211	11	=	=	SYM
fumecheng-6927	212	1	h(t)3/2	h(t)3/2	NUM
fumecheng-6927	212	2	(	(	PUNCT
fumecheng-6927	212	3	ensuring	ensure	VERB
fumecheng-6927	212	4	that	that	SCONJ
fumecheng-6927	212	5	h	h	NOUN
fumecheng-6927	212	6	has	have	VERB
fumecheng-6927	212	7	a	a	DET
fumecheng-6927	212	8	positive	positive	ADJ
fumecheng-6927	212	9	sign	sign	NOUN
fumecheng-6927	212	10	,	,	PUNCT
fumecheng-6927	212	11	as	as	SCONJ
fumecheng-6927	212	12	previously	previously	ADV
fumecheng-6927	212	13	discussed	discuss	VERB
fumecheng-6927	212	14	–	–	PUNCT
fumecheng-6927	212	15	see	see	VERB
fumecheng-6927	212	16	eq	eq	NOUN
fumecheng-6927	212	17	.	.	PUNCT
fumecheng-6927	213	1	(	(	PUNCT
fumecheng-6927	213	2	17	17	NUM
fumecheng-6927	213	3	)	)	PUNCT
fumecheng-6927	213	4	.	.	PUNCT
fumecheng-6927	214	1	once	once	SCONJ
fumecheng-6927	214	2	we	we	PRON
fumecheng-6927	214	3	have	have	AUX
fumecheng-6927	214	4	calculated	calculate	VERB
fumecheng-6927	214	5	the	the	DET
fumecheng-6927	214	6	highest	high	ADJ
fumecheng-6927	214	7	-	-	PUNCT
fumecheng-6927	214	8	order	order	NOUN
fumecheng-6927	214	9	derivative	derivative	NOUN
fumecheng-6927	214	10	,	,	PUNCT
fumecheng-6927	214	11	the	the	DET
fumecheng-6927	214	12	lower	low	ADJ
fumecheng-6927	214	13	-	-	PUNCT
fumecheng-6927	214	14	order	order	NOUN
fumecheng-6927	214	15	force	force	NOUN
fumecheng-6927	214	16	derivatives	derivative	NOUN
fumecheng-6927	214	17	can	can	AUX
fumecheng-6927	214	18	be	be	AUX
fumecheng-6927	214	19	determined	determine	VERB
fumecheng-6927	214	20	by	by	ADP
fumecheng-6927	214	21	using	use	VERB
fumecheng-6927	214	22	euler	euler	NOUN
fumecheng-6927	214	23	integration	integration	NOUN
fumecheng-6927	214	24	method	method	NOUN
fumecheng-6927	214	25	[	[	X
fumecheng-6927	214	26	42	42	NUM
fumecheng-6927	214	27	,	,	PUNCT
fumecheng-6927	214	28	43	43	NUM
fumecheng-6927	214	29	]	]	PUNCT
fumecheng-6927	214	30	.	.	PUNCT
fumecheng-6927	215	1	𝐹𝑖	𝐹𝑖	ADJ
fumecheng-6927	215	2	𝑁−1	𝑁−1	NOUN
fumecheng-6927	215	3	=	=	PUNCT
fumecheng-6927	215	4	𝐹𝑖−1	𝐹𝑖−1	NOUN
fumecheng-6927	215	5	𝑁−1	𝑁−1	NOUN
fumecheng-6927	215	6	+	+	CCONJ
fumecheng-6927	215	7	𝐹𝑖	𝐹𝑖	PROPN
fumecheng-6927	215	8	𝑁δ𝑡	𝑁δ𝑡	PROPN
fumecheng-6927	215	9	(	(	PUNCT
fumecheng-6927	215	10	24	24	NUM
fumecheng-6927	215	11	)	)	PUNCT
fumecheng-6927	215	12	…	…	PUNCT
fumecheng-6927	215	13	and	and	CCONJ
fumecheng-6927	215	14	we	we	PRON
fumecheng-6927	215	15	can	can	AUX
fumecheng-6927	215	16	continue	continue	VERB
fumecheng-6927	215	17	the	the	DET
fumecheng-6927	215	18	process	process	NOUN
fumecheng-6927	215	19	until	until	ADP
fumecheng-6927	215	20	arriving	arrive	VERB
fumecheng-6927	215	21	at	at	ADP
fumecheng-6927	215	22	the	the	DET
fumecheng-6927	215	23	lowest	low	ADJ
fumecheng-6927	215	24	force	force	NOUN
fumecheng-6927	215	25	derivative	derivative	NOUN
fumecheng-6927	215	26	,	,	PUNCT
fumecheng-6927	215	27	namely	namely	ADV
fumecheng-6927	215	28	the	the	DET
fumecheng-6927	215	29	force	force	NOUN
fumecheng-6927	215	30	itself	itself	PRON
fumecheng-6927	215	31	(	(	PUNCT
fumecheng-6927	215	32	eq	eq	NOUN
fumecheng-6927	215	33	.	.	PUNCT
fumecheng-6927	216	1	(	(	PUNCT
fumecheng-6927	216	2	26	26	NUM
fumecheng-6927	216	3	)	)	PUNCT
fumecheng-6927	216	4	):	):	PUNCT
fumecheng-6927	217	1	�	�	PROPN
fumecheng-6927	217	2	̇	̇	PROPN
fumecheng-6927	217	3	�	�	PROPN
fumecheng-6927	217	4	𝑖	𝑖	SYM
fumecheng-6927	217	5	=	=	SYM
fumecheng-6927	217	6	�	�	PROPN
fumecheng-6927	217	7	̇	̇	PROPN
fumecheng-6927	217	8	�	�	PROPN
fumecheng-6927	217	9	𝑖−1	𝑖−1	PROPN
fumecheng-6927	217	10	+	+	PROPN
fumecheng-6927	217	11	�	�	PROPN
fumecheng-6927	217	12	̈	̈	SYM
fumecheng-6927	217	13	�	�	NOUN
fumecheng-6927	217	14	𝑖δ𝑡	𝑖δ𝑡	NOUN
fumecheng-6927	217	15	(	(	PUNCT
fumecheng-6927	217	16	25	25	NUM
fumecheng-6927	217	17	)	)	PUNCT
fumecheng-6927	218	1	𝐹𝑖	𝐹𝑖	NOUN
fumecheng-6927	218	2	=	=	PUNCT
fumecheng-6927	218	3	𝐹𝑖−1	𝐹𝑖−1	PROPN
fumecheng-6927	218	4	+	+	SYM
fumecheng-6927	218	5	�	�	PROPN
fumecheng-6927	218	6	̇	̇	PROPN
fumecheng-6927	218	7	�	�	PROPN
fumecheng-6927	218	8	𝑖δ𝑡	𝑖δ𝑡	X
fumecheng-6927	218	9	(	(	PUNCT
fumecheng-6927	218	10	26	26	NUM
fumecheng-6927	218	11	)	)	PUNCT
fumecheng-6927	218	12	eq	eq	NOUN
fumecheng-6927	218	13	.	.	PUNCT
fumecheng-6927	219	1	(	(	PUNCT
fumecheng-6927	219	2	26	26	NUM
fumecheng-6927	219	3	)	)	PUNCT
fumecheng-6927	219	4	is	be	AUX
fumecheng-6927	219	5	the	the	DET
fumecheng-6927	219	6	resulting	result	VERB
fumecheng-6927	219	7	viscoelastic	viscoelastic	ADJ
fumecheng-6927	219	8	force	force	NOUN
fumecheng-6927	219	9	response	response	NOUN
fumecheng-6927	219	10	due	due	ADP
fumecheng-6927	219	11	to	to	ADP
fumecheng-6927	219	12	indentation	indentation	NOUN
fumecheng-6927	219	13	,	,	PUNCT
fumecheng-6927	219	14	which	which	PRON
fumecheng-6927	219	15	is	be	AUX
fumecheng-6927	219	16	transmitted	transmit	VERB
fumecheng-6927	219	17	to	to	ADP
fumecheng-6927	219	18	the	the	DET
fumecheng-6927	219	19	afm	afm	PROPN
fumecheng-6927	219	20	tip	tip	NOUN
fumecheng-6927	219	21	.	.	PUNCT
fumecheng-6927	220	1	this	this	DET
fumecheng-6927	220	2	procedure	procedure	NOUN
fumecheng-6927	220	3	is	be	AUX
fumecheng-6927	220	4	repeated	repeat	VERB
fumecheng-6927	220	5	for	for	ADP
fumecheng-6927	220	6	each	each	DET
fumecheng-6927	220	7	time	time	NOUN
fumecheng-6927	220	8	step	step	NOUN
fumecheng-6927	220	9	dt	dt	NOUN
fumecheng-6927	220	10	until	until	SCONJ
fumecheng-6927	220	11	the	the	DET
fumecheng-6927	220	12	end	end	NOUN
fumecheng-6927	220	13	of	of	ADP
fumecheng-6927	220	14	the	the	DET
fumecheng-6927	220	15	afm	afm	PROPN
fumecheng-6927	220	16	simulation	simulation	NOUN
fumecheng-6927	220	17	is	be	AUX
fumecheng-6927	220	18	reached	reach	VERB
fumecheng-6927	220	19	,	,	PUNCT
fumecheng-6927	220	20	and	and	CCONJ
fumecheng-6927	220	21	in	in	ADP
fumecheng-6927	220	22	this	this	DET
fumecheng-6927	220	23	manner	manner	NOUN
fumecheng-6927	220	24	,	,	PUNCT
fumecheng-6927	220	25	we	we	PRON
fumecheng-6927	220	26	obtain	obtain	VERB
fumecheng-6927	220	27	the	the	DET
fumecheng-6927	220	28	force	force	NOUN
fumecheng-6927	220	29	history	history	NOUN
fumecheng-6927	220	30	.	.	PUNCT
fumecheng-6927	221	1	note	note	VERB
fumecheng-6927	221	2	that	that	SCONJ
fumecheng-6927	221	3	if	if	SCONJ
fumecheng-6927	221	4	there	there	PRON
fumecheng-6927	221	5	has	have	AUX
fumecheng-6927	221	6	been	be	AUX
fumecheng-6927	221	7	no	no	DET
fumecheng-6927	221	8	previous	previous	ADJ
fumecheng-6927	221	9	indentation	indentation	NOUN
fumecheng-6927	221	10	history	history	NOUN
fumecheng-6927	221	11	(	(	PUNCT
fumecheng-6927	221	12	e.g.	e.g.	ADV
fumecheng-6927	221	13	,	,	PUNCT
fumecheng-6927	221	14	when	when	SCONJ
fumecheng-6927	221	15	the	the	DET
fumecheng-6927	221	16	afm	afm	PROPN
fumecheng-6927	221	17	tip	tip	NOUN
fumecheng-6927	221	18	first	first	ADV
fumecheng-6927	221	19	approaches	approach	VERB
fumecheng-6927	221	20	a	a	DET
fumecheng-6927	221	21	pristine	pristine	ADJ
fumecheng-6927	221	22	,	,	PUNCT
fumecheng-6927	221	23	undeformed	undeformed	ADJ
fumecheng-6927	221	24	sample	sample	NOUN
fumecheng-6927	221	25	during	during	ADP
fumecheng-6927	221	26	the	the	DET
fumecheng-6927	221	27	simulation	simulation	NOUN
fumecheng-6927	221	28	)	)	PUNCT
fumecheng-6927	221	29	,	,	PUNCT
fumecheng-6927	221	30	the	the	DET
fumecheng-6927	221	31	initial	initial	ADJ
fumecheng-6927	221	32	conditions	condition	NOUN
fumecheng-6927	221	33	(	(	PUNCT
fumecheng-6927	221	34	t	t	NOUN
fumecheng-6927	221	35	=	=	SYM
fumecheng-6927	221	36	0	0	NUM
fumecheng-6927	221	37	)	)	PUNCT
fumecheng-6927	221	38	for	for	ADP
fumecheng-6927	221	39	the	the	DET
fumecheng-6927	221	40	force	force	NOUN
fumecheng-6927	221	41	and	and	CCONJ
fumecheng-6927	221	42	for	for	ADP
fumecheng-6927	221	43	all	all	DET
fumecheng-6927	221	44	its	its	PRON
fumecheng-6927	221	45	derivatives	derivative	NOUN
fumecheng-6927	221	46	up	up	ADP
fumecheng-6927	221	47	to	to	ADP
fumecheng-6927	221	48	the	the	PRON
fumecheng-6927	221	49	(	(	PUNCT
fumecheng-6927	221	50	n–1)th	n–1)th	PRON
fumecheng-6927	221	51	derivative	derivative	NOUN
fumecheng-6927	221	52	are	be	AUX
fumecheng-6927	221	53	equal	equal	ADJ
fumecheng-6927	221	54	to	to	ADP
fumecheng-6927	221	55	zero	zero	NUM
fumecheng-6927	221	56	,	,	PUNCT
fumecheng-6927	221	57	𝐹𝑖=0	𝐹𝑖=0	X
fumecheng-6927	221	58	𝑁−1	𝑁−1	NOUN
fumecheng-6927	221	59	=	=	X
fumecheng-6927	221	60	.	.	PUNCT
fumecheng-6927	221	61	.	.	PUNCT
fumecheng-6927	221	62	.	.	PUNCT
fumecheng-6927	222	1	=	=	PUNCT
fumecheng-6927	222	2	�	�	PROPN
fumecheng-6927	222	3	̇	̇	PROPN
fumecheng-6927	222	4	�	�	PROPN
fumecheng-6927	222	5	𝑖=0	𝑖=0	PROPN
fumecheng-6927	222	6	=	=	SYM
fumecheng-6927	222	7	𝐹𝑖=0	𝐹𝑖=0	X
fumecheng-6927	222	8	=	=	SYM
fumecheng-6927	222	9	0	0	PROPN
fumecheng-6927	222	10	.	.	PUNCT
fumecheng-6927	223	1	therefore	therefore	ADV
fumecheng-6927	223	2	,	,	PUNCT
fumecheng-6927	223	3	at	at	ADP
fumecheng-6927	223	4	time	time	NOUN
fumecheng-6927	223	5	zero	zero	NUM
fumecheng-6927	223	6	only	only	ADV
fumecheng-6927	223	7	the	the	DET
fumecheng-6927	223	8	highest	high	ADJ
fumecheng-6927	223	9	-	-	PUNCT
fumecheng-6927	223	10	order	order	NOUN
fumecheng-6927	223	11	derivative	derivative	NOUN
fumecheng-6927	223	12	can	can	AUX
fumecheng-6927	223	13	have	have	VERB
fumecheng-6927	223	14	a	a	DET
fumecheng-6927	223	15	non	non	ADJ
fumecheng-6927	223	16	-	-	ADJ
fumecheng-6927	223	17	zero	zero	NUM
fumecheng-6927	223	18	value	value	NOUN
fumecheng-6927	223	19	.	.	PUNCT
fumecheng-6927	224	1	an	an	DET
fumecheng-6927	224	2	example	example	NOUN
fumecheng-6927	224	3	calculation	calculation	NOUN
fumecheng-6927	224	4	for	for	ADP
fumecheng-6927	224	5	a	a	DET
fumecheng-6927	224	6	3	3	NUM
fumecheng-6927	224	7	-	-	PUNCT
fumecheng-6927	224	8	maxwell	maxwell	NOUN
fumecheng-6927	224	9	-	-	PUNCT
fumecheng-6927	224	10	arm	arm	NOUN
fumecheng-6927	224	11	guidelines	guideline	NOUN
fumecheng-6927	224	12	to	to	PART
fumecheng-6927	224	13	simulate	simulate	VERB
fumecheng-6927	224	14	linear	linear	ADJ
fumecheng-6927	224	15	viscoelastic	viscoelastic	NOUN
fumecheng-6927	224	16	materials	material	NOUN
fumecheng-6927	224	17	with	with	ADP
fumecheng-6927	224	18	an	an	DET
fumecheng-6927	224	19	arbitrary	arbitrary	ADJ
fumecheng-6927	224	20	number	number	NOUN
fumecheng-6927	224	21	of	of	ADP
fumecheng-6927	224	22	characteristic	characteristic	ADJ
fumecheng-6927	224	23	times	time	NOUN
fumecheng-6927	224	24	...	...	PUNCT
fumecheng-6927	224	25	143	143	NUM
fumecheng-6927	224	26	model	model	NOUN
fumecheng-6927	224	27	is	be	AUX
fumecheng-6927	224	28	provided	provide	VERB
fumecheng-6927	224	29	in	in	ADP
fumecheng-6927	224	30	the	the	DET
fumecheng-6927	224	31	next	next	ADJ
fumecheng-6927	224	32	subsection	subsection	NOUN
fumecheng-6927	224	33	.	.	PUNCT
fumecheng-6927	225	1	fig	fig	NOUN
fumecheng-6927	225	2	.	.	PUNCT
fumecheng-6927	226	1	3	3	NUM
fumecheng-6927	226	2	summarizes	summarize	NOUN
fumecheng-6927	226	3	in	in	ADP
fumecheng-6927	226	4	a	a	DET
fumecheng-6927	226	5	flow	flow	NOUN
fumecheng-6927	226	6	chart	chart	NOUN
fumecheng-6927	226	7	the	the	DET
fumecheng-6927	226	8	procedure	procedure	NOUN
fumecheng-6927	226	9	to	to	PART
fumecheng-6927	226	10	calculate	calculate	VERB
fumecheng-6927	226	11	the	the	DET
fumecheng-6927	226	12	viscoelastic	viscoelastic	ADJ
fumecheng-6927	226	13	surface	surface	NOUN
fumecheng-6927	226	14	deformation	deformation	NOUN
fumecheng-6927	226	15	that	that	PRON
fumecheng-6927	226	16	has	have	AUX
fumecheng-6927	226	17	been	be	AUX
fumecheng-6927	226	18	discussed	discuss	VERB
fumecheng-6927	226	19	so	so	ADV
fumecheng-6927	226	20	far	far	ADV
fumecheng-6927	226	21	in	in	ADP
fumecheng-6927	226	22	this	this	DET
fumecheng-6927	226	23	section	section	NOUN
fumecheng-6927	226	24	.	.	PUNCT
fumecheng-6927	227	1	fig	fig	NOUN
fumecheng-6927	227	2	.	.	PUNCT
fumecheng-6927	228	1	3	3	NUM
fumecheng-6927	228	2	flow	flow	NOUN
fumecheng-6927	228	3	chart	chart	NOUN
fumecheng-6927	228	4	describing	describe	VERB
fumecheng-6927	228	5	the	the	DET
fumecheng-6927	228	6	calculation	calculation	NOUN
fumecheng-6927	228	7	steps	step	NOUN
fumecheng-6927	228	8	to	to	PART
fumecheng-6927	228	9	obtain	obtain	VERB
fumecheng-6927	228	10	the	the	DET
fumecheng-6927	228	11	force	force	NOUN
fumecheng-6927	228	12	response	response	NOUN
fumecheng-6927	228	13	for	for	ADP
fumecheng-6927	228	14	the	the	DET
fumecheng-6927	228	15	contact	contact	NOUN
fumecheng-6927	228	16	portion	portion	NOUN
fumecheng-6927	228	17	of	of	ADP
fumecheng-6927	228	18	an	an	DET
fumecheng-6927	228	19	indenter	indenter	NOUN
fumecheng-6927	228	20	penetrating	penetrate	VERB
fumecheng-6927	228	21	a	a	DET
fumecheng-6927	228	22	viscoelastic	viscoelastic	ADJ
fumecheng-6927	228	23	surface	surface	NOUN
fumecheng-6927	228	24	.	.	PUNCT
fumecheng-6927	229	1	for	for	ADP
fumecheng-6927	229	2	each	each	DET
fumecheng-6927	229	3	timestep	timestep	NOUN
fumecheng-6927	229	4	of	of	ADP
fumecheng-6927	229	5	the	the	DET
fumecheng-6927	229	6	algorithm	algorithm	NOUN
fumecheng-6927	229	7	,	,	PUNCT
fumecheng-6927	229	8	the	the	DET
fumecheng-6927	229	9	indentation	indentation	NOUN
fumecheng-6927	229	10	is	be	AUX
fumecheng-6927	229	11	regarded	regard	VERB
fumecheng-6927	229	12	as	as	ADP
fumecheng-6927	229	13	the	the	DET
fumecheng-6927	229	14	input	input	NOUN
fumecheng-6927	229	15	for	for	ADP
fumecheng-6927	229	16	eq	eq	PROPN
fumecheng-6927	229	17	.	.	PUNCT
fumecheng-6927	230	1	(	(	PUNCT
fumecheng-6927	230	2	9	9	NUM
fumecheng-6927	230	3	)	)	PUNCT
fumecheng-6927	230	4	.	.	PUNCT
fumecheng-6927	231	1	the	the	DET
fumecheng-6927	231	2	calculation	calculation	NOUN
fumecheng-6927	231	3	steps	step	NOUN
fumecheng-6927	231	4	are	be	AUX
fumecheng-6927	231	5	detailed	detail	VERB
fumecheng-6927	231	6	in	in	ADP
fumecheng-6927	231	7	section	section	NOUN
fumecheng-6927	231	8	2.5.1	2.5.1	NUM
fumecheng-6927	231	9	.	.	PUNCT
fumecheng-6927	232	1	this	this	DET
fumecheng-6927	232	2	algorithm	algorithm	NOUN
fumecheng-6927	232	3	is	be	AUX
fumecheng-6927	232	4	conveniently	conveniently	ADV
fumecheng-6927	232	5	implemented	implement	VERB
fumecheng-6927	232	6	with	with	ADP
fumecheng-6927	232	7	python	python	PROPN
fumecheng-6927	232	8	code	code	NOUN
fumecheng-6927	232	9	in	in	ADP
fumecheng-6927	232	10	an	an	DET
fumecheng-6927	232	11	open	open	ADJ
fumecheng-6927	232	12	-	-	PUNCT
fumecheng-6927	232	13	access	access	NOUN
fumecheng-6927	232	14	repository	repository	NOUN
fumecheng-6927	232	15	[	[	X
fumecheng-6927	232	16	40	40	NUM
fumecheng-6927	232	17	]	]	PUNCT
fumecheng-6927	232	18	under	under	ADP
fumecheng-6927	232	19	the	the	DET
fumecheng-6927	232	20	afmsim	afmsim	PROPN
fumecheng-6927	232	21	library	library	NOUN
fumecheng-6927	232	22	with	with	ADP
fumecheng-6927	232	23	the	the	DET
fumecheng-6927	232	24	contact_mode	contact_mode	PROPN
fumecheng-6927	232	25	function	function	NOUN
fumecheng-6927	232	26	.	.	PUNCT
fumecheng-6927	233	1	it	it	PRON
fumecheng-6927	233	2	is	be	AUX
fumecheng-6927	233	3	also	also	ADV
fumecheng-6927	233	4	available	available	ADJ
fumecheng-6927	233	5	in	in	ADP
fumecheng-6927	233	6	the	the	DET
fumecheng-6927	233	7	excel	excel	NOUN
fumecheng-6927	233	8	spreadsheet	spreadsheet	NOUN
fumecheng-6927	233	9	within	within	ADP
fumecheng-6927	233	10	the	the	DET
fumecheng-6927	233	11	same	same	ADJ
fumecheng-6927	233	12	repository	repository	NOUN
fumecheng-6927	233	13	.	.	PUNCT
fumecheng-6927	234	1	144	144	NUM
fumecheng-6927	234	2	m.	m.	NOUN
fumecheng-6927	234	3	forstenhaeusler	forstenhaeusler	PROPN
fumecheng-6927	234	4	,	,	PUNCT
fumecheng-6927	234	5	e.	e.	PROPN
fumecheng-6927	234	6	a.	a.	PROPN
fumecheng-6927	234	7	lópez	lópez	PROPN
fumecheng-6927	234	8	-	-	PUNCT
fumecheng-6927	234	9	guerra	guerra	PROPN
fumecheng-6927	234	10	,	,	PUNCT
fumecheng-6927	234	11	s.	s.	PROPN
fumecheng-6927	234	12	d.	d.	PROPN
fumecheng-6927	234	13	solares	solare	VERB
fumecheng-6927	234	14	2.5.2	2.5.2	PROPN
fumecheng-6927	234	15	.	.	PUNCT
fumecheng-6927	234	16	example	example	NOUN
fumecheng-6927	234	17	–	–	PUNCT
fumecheng-6927	234	18	3	3	NUM
fumecheng-6927	234	19	arm	arm	NOUN
fumecheng-6927	234	20	generalized	generalize	VERB
fumecheng-6927	234	21	maxwell	maxwell	PROPN
fumecheng-6927	234	22	model	model	NOUN
fumecheng-6927	234	23	to	to	PART
fumecheng-6927	234	24	illustrate	illustrate	VERB
fumecheng-6927	234	25	the	the	DET
fumecheng-6927	234	26	process	process	NOUN
fumecheng-6927	234	27	described	describe	VERB
fumecheng-6927	234	28	above	above	ADV
fumecheng-6927	234	29	,	,	PUNCT
fumecheng-6927	234	30	consider	consider	VERB
fumecheng-6927	234	31	a	a	DET
fumecheng-6927	234	32	generalized	generalized	ADJ
fumecheng-6927	234	33	maxwell	maxwell	PROPN
fumecheng-6927	234	34	model	model	NOUN
fumecheng-6927	234	35	with	with	ADP
fumecheng-6927	234	36	three	three	NUM
fumecheng-6927	234	37	characteristic	characteristic	ADJ
fumecheng-6927	234	38	times	time	NOUN
fumecheng-6927	234	39	(	(	PUNCT
fumecheng-6927	234	40	3	3	NUM
fumecheng-6927	234	41	maxwell	maxwell	PROPN
fumecheng-6927	234	42	arms	arm	NOUN
fumecheng-6927	234	43	,	,	PUNCT
fumecheng-6927	234	44	refer	refer	VERB
fumecheng-6927	234	45	to	to	ADP
fumecheng-6927	234	46	fig	fig	NOUN
fumecheng-6927	234	47	.	.	PUNCT
fumecheng-6927	235	1	1a	1a	NOUN
fumecheng-6927	235	2	)	)	PUNCT
fumecheng-6927	235	3	.	.	PUNCT
fumecheng-6927	236	1	again	again	ADV
fumecheng-6927	236	2	,	,	PUNCT
fumecheng-6927	236	3	the	the	DET
fumecheng-6927	236	4	procedure	procedure	NOUN
fumecheng-6927	236	5	begins	begin	VERB
fumecheng-6927	236	6	with	with	ADP
fumecheng-6927	236	7	the	the	DET
fumecheng-6927	236	8	calculation	calculation	NOUN
fumecheng-6927	236	9	of	of	ADP
fumecheng-6927	236	10	the	the	DET
fumecheng-6927	236	11	deformation	deformation	NOUN
fumecheng-6927	236	12	derivatives	derivative	NOUN
fumecheng-6927	236	13	,	,	PUNCT
fumecheng-6927	236	14	since	since	SCONJ
fumecheng-6927	236	15	the	the	DET
fumecheng-6927	236	16	deformation	deformation	NOUN
fumecheng-6927	236	17	is	be	AUX
fumecheng-6927	236	18	known	know	VERB
fumecheng-6927	236	19	:	:	PUNCT
fumecheng-6927	236	20	𝑝𝑖	𝑝𝑖	NOUN
fumecheng-6927	236	21	=	=	PUNCT
fumecheng-6927	236	22	(	(	PUNCT
fumecheng-6927	236	23	−ℎ𝑖)3/2	−ℎ𝑖)3/2	PROPN
fumecheng-6927	236	24	(	(	PUNCT
fumecheng-6927	236	25	27	27	NUM
fumecheng-6927	236	26	)	)	PUNCT
fumecheng-6927	236	27	�	�	PROPN
fumecheng-6927	236	28	̇	̇	NOUN
fumecheng-6927	236	29	�	�	PROPN
fumecheng-6927	236	30	𝑖	𝑖	SYM
fumecheng-6927	236	31	=	=	NOUN
fumecheng-6927	236	32	𝑝𝑖	𝑝𝑖	PROPN
fumecheng-6927	236	33	−	−	PROPN
fumecheng-6927	236	34	𝑝𝑖−1	𝑝𝑖−1	PROPN
fumecheng-6927	236	35	δ𝑡	δ𝑡	PROPN
fumecheng-6927	236	36	(	(	PUNCT
fumecheng-6927	236	37	28	28	NUM
fumecheng-6927	236	38	)	)	PUNCT
fumecheng-6927	236	39	�	�	PROPN
fumecheng-6927	236	40	̈	̈	X
fumecheng-6927	236	41	�	�	NOUN
fumecheng-6927	236	42	𝑖	𝑖	SYM
fumecheng-6927	236	43	=	=	SYM
fumecheng-6927	236	44	�	�	PROPN
fumecheng-6927	236	45	̇	̇	PROPN
fumecheng-6927	236	46	�	�	PROPN
fumecheng-6927	236	47	𝑖−	𝑖−	PROPN
fumecheng-6927	236	48	�	�	PROPN
fumecheng-6927	236	49	̇	̇	PROPN
fumecheng-6927	236	50	�	�	PROPN
fumecheng-6927	236	51	𝑖−1	𝑖−1	PROPN
fumecheng-6927	236	52	δ𝑡	δ𝑡	X
fumecheng-6927	237	1	(	(	PUNCT
fumecheng-6927	237	2	29	29	NUM
fumecheng-6927	237	3	)	)	PUNCT
fumecheng-6927	237	4	𝑝𝑖	𝑝𝑖	NOUN
fumecheng-6927	237	5	=	=	SYM
fumecheng-6927	237	6	�	�	PROPN
fumecheng-6927	237	7	̈	̈	SYM
fumecheng-6927	237	8	�	�	PROPN
fumecheng-6927	237	9	𝑖−	𝑖−	PROPN
fumecheng-6927	237	10	�	�	PROPN
fumecheng-6927	237	11	̈	̈	X
fumecheng-6927	237	12	�	�	PROPN
fumecheng-6927	237	13	𝑖−1	𝑖−1	PROPN
fumecheng-6927	237	14	δ𝑡	δ𝑡	X
fumecheng-6927	237	15	(	(	PUNCT
fumecheng-6927	237	16	30	30	NUM
fumecheng-6927	237	17	)	)	PUNCT
fumecheng-6927	237	18	once	once	ADV
fumecheng-6927	237	19	all	all	DET
fumecheng-6927	237	20	deformation	deformation	NOUN
fumecheng-6927	237	21	derivatives	derivative	NOUN
fumecheng-6927	237	22	are	be	AUX
fumecheng-6927	237	23	determined	determine	VERB
fumecheng-6927	237	24	,	,	PUNCT
fumecheng-6927	237	25	the	the	DET
fumecheng-6927	237	26	force	force	NOUN
fumecheng-6927	237	27	response	response	NOUN
fumecheng-6927	237	28	can	can	AUX
fumecheng-6927	237	29	be	be	AUX
fumecheng-6927	237	30	calculated	calculate	VERB
fumecheng-6927	237	31	.	.	PUNCT
fumecheng-6927	238	1	𝑠𝑢𝑚𝑎𝑄𝑖	𝑠𝑢𝑚𝑎𝑄𝑖	PROPN
fumecheng-6927	238	2	=	=	PUNCT
fumecheng-6927	238	3	𝛼	𝛼	PROPN
fumecheng-6927	238	4	𝑢3	𝑢3	NOUN
fumecheng-6927	238	5	[	[	X
fumecheng-6927	238	6	𝑞0𝑝𝑖	𝑞0𝑝𝑖	X
fumecheng-6927	238	7	+	+	CCONJ
fumecheng-6927	238	8	𝑞1	𝑞1	PROPN
fumecheng-6927	238	9	�	�	PROPN
fumecheng-6927	238	10	̇	̇	NOUN
fumecheng-6927	238	11	�	�	PROPN
fumecheng-6927	238	12	𝑖	𝑖	NOUN
fumecheng-6927	238	13	+	+	NUM
fumecheng-6927	238	14	𝑞2	𝑞2	PROPN
fumecheng-6927	238	15	�	�	NOUN
fumecheng-6927	238	16	̈	̈	NOUN
fumecheng-6927	238	17	�	�	NOUN
fumecheng-6927	238	18	𝑖	𝑖	NOUN
fumecheng-6927	238	19	+	+	NOUN
fumecheng-6927	238	20	𝑞3𝑝𝑖	𝑞3𝑝𝑖	NOUN
fumecheng-6927	238	21	]	]	X
fumecheng-6927	238	22	(	(	PUNCT
fumecheng-6927	238	23	31	31	NUM
fumecheng-6927	238	24	)	)	PUNCT
fumecheng-6927	238	25	𝑠𝑢𝑚𝑎𝑈𝑖	𝑠𝑢𝑚𝑎𝑈𝑖	PROPN
fumecheng-6927	238	26	=	=	SYM
fumecheng-6927	238	27	1	1	NUM
fumecheng-6927	238	28	𝑢3	𝑢3	NOUN
fumecheng-6927	238	29	[	[	X
fumecheng-6927	238	30	𝑢0𝐹𝑖−1	𝑢0𝐹𝑖−1	NOUN
fumecheng-6927	238	31	+	+	NUM
fumecheng-6927	238	32	𝑢1	𝑢1	PROPN
fumecheng-6927	238	33	�	�	PROPN
fumecheng-6927	238	34	̇	̇	PROPN
fumecheng-6927	238	35	�	�	PROPN
fumecheng-6927	238	36	𝑖−1	𝑖−1	PROPN
fumecheng-6927	238	37	+	+	PROPN
fumecheng-6927	238	38	𝑢2	𝑢2	PROPN
fumecheng-6927	238	39	�	�	PROPN
fumecheng-6927	238	40	̈	̈	X
fumecheng-6927	238	41	�	�	PROPN
fumecheng-6927	238	42	𝑖−1	𝑖−1	NOUN
fumecheng-6927	238	43	]	]	X
fumecheng-6927	238	44	(	(	PUNCT
fumecheng-6927	238	45	32	32	NUM
fumecheng-6927	238	46	)	)	PUNCT
fumecheng-6927	238	47	eq	eq	NOUN
fumecheng-6927	238	48	.	.	PUNCT
fumecheng-6927	239	1	(	(	PUNCT
fumecheng-6927	239	2	21	21	NUM
fumecheng-6927	239	3	)	)	PUNCT
fumecheng-6927	239	4	for	for	ADP
fumecheng-6927	239	5	the	the	DET
fumecheng-6927	239	6	3	3	NUM
fumecheng-6927	239	7	-	-	PUNCT
fumecheng-6927	239	8	arm	arm	NOUN
fumecheng-6927	239	9	generalized	generalized	ADJ
fumecheng-6927	239	10	maxwell	maxwell	PROPN
fumecheng-6927	239	11	model	model	NOUN
fumecheng-6927	239	12	will	will	AUX
fumecheng-6927	239	13	therefore	therefore	ADV
fumecheng-6927	239	14	equal	equal	VERB
fumecheng-6927	239	15	:	:	PUNCT
fumecheng-6927	239	16	𝐹𝑖(𝑡	𝐹𝑖(𝑡	NUM
fumecheng-6927	239	17	)	)	PUNCT
fumecheng-6927	239	18	=	=	SYM
fumecheng-6927	240	1	𝑠𝑢𝑚𝑎𝑄𝑖	𝑠𝑢𝑚𝑎𝑄𝑖	PROPN
fumecheng-6927	240	2	−	−	PROPN
fumecheng-6927	240	3	𝑠𝑢𝑚𝑎𝑈𝑖	𝑠𝑢𝑚𝑎𝑈𝑖	PROPN
fumecheng-6927	240	4	(	(	PUNCT
fumecheng-6927	240	5	33	33	NUM
fumecheng-6927	240	6	)	)	PUNCT
fumecheng-6927	240	7	using	use	VERB
fumecheng-6927	240	8	euler	euler	NOUN
fumecheng-6927	240	9	integration	integration	NOUN
fumecheng-6927	240	10	,	,	PUNCT
fumecheng-6927	240	11	we	we	PRON
fumecheng-6927	240	12	find	find	VERB
fumecheng-6927	240	13	the	the	DET
fumecheng-6927	240	14	lower	low	ADJ
fumecheng-6927	240	15	-	-	PUNCT
fumecheng-6927	240	16	order	order	NOUN
fumecheng-6927	240	17	derivatives	derivative	NOUN
fumecheng-6927	240	18	and	and	CCONJ
fumecheng-6927	240	19	the	the	DET
fumecheng-6927	240	20	force	force	NOUN
fumecheng-6927	240	21	itself	itself	PRON
fumecheng-6927	240	22	(	(	PUNCT
fumecheng-6927	240	23	zeroorder	zeroorder	NOUN
fumecheng-6927	240	24	derivative	derivative	NOUN
fumecheng-6927	240	25	,	,	PUNCT
fumecheng-6927	240	26	eq	eq	NOUN
fumecheng-6927	240	27	.	.	PUNCT
fumecheng-6927	241	1	(	(	PUNCT
fumecheng-6927	241	2	36	36	NUM
fumecheng-6927	241	3	)	)	PUNCT
fumecheng-6927	241	4	):	):	PUNCT
fumecheng-6927	241	5	�	�	PROPN
fumecheng-6927	241	6	̈	̈	X
fumecheng-6927	241	7	�	�	NOUN
fumecheng-6927	241	8	𝑖	𝑖	SYM
fumecheng-6927	241	9	=	=	SYM
fumecheng-6927	241	10	�	�	PROPN
fumecheng-6927	241	11	̈	̈	X
fumecheng-6927	241	12	�	�	NOUN
fumecheng-6927	241	13	𝑖−1	𝑖−1	PROPN
fumecheng-6927	241	14	+	+	PROPN
fumecheng-6927	241	15	𝐹𝑖δ𝑡	𝐹𝑖δ𝑡	PROPN
fumecheng-6927	241	16	(	(	PUNCT
fumecheng-6927	241	17	34	34	NUM
fumecheng-6927	241	18	)	)	PUNCT
fumecheng-6927	241	19	�	�	PROPN
fumecheng-6927	241	20	̇	̇	VERB
fumecheng-6927	241	21	�	�	PROPN
fumecheng-6927	241	22	𝑖	𝑖	SYM
fumecheng-6927	241	23	=	=	SYM
fumecheng-6927	241	24	�	�	PROPN
fumecheng-6927	241	25	̇	̇	PROPN
fumecheng-6927	241	26	�	�	PROPN
fumecheng-6927	241	27	𝑖−1	𝑖−1	PROPN
fumecheng-6927	241	28	+	+	PROPN
fumecheng-6927	241	29	�	�	PROPN
fumecheng-6927	241	30	̈	̈	SYM
fumecheng-6927	241	31	�	�	NOUN
fumecheng-6927	241	32	𝑖δ𝑡	𝑖δ𝑡	NOUN
fumecheng-6927	241	33	(	(	PUNCT
fumecheng-6927	241	34	35	35	NUM
fumecheng-6927	241	35	)	)	PUNCT
fumecheng-6927	242	1	𝐹𝑖	𝐹𝑖	NOUN
fumecheng-6927	242	2	=	=	PUNCT
fumecheng-6927	242	3	𝐹𝑖−1	𝐹𝑖−1	PROPN
fumecheng-6927	242	4	+	+	SYM
fumecheng-6927	242	5	�	�	PROPN
fumecheng-6927	242	6	̇	̇	PROPN
fumecheng-6927	242	7	�	�	PROPN
fumecheng-6927	242	8	𝑖δ𝑡	𝑖δ𝑡	X
fumecheng-6927	242	9	(	(	PUNCT
fumecheng-6927	242	10	36	36	NUM
fumecheng-6927	242	11	)	)	PUNCT
fumecheng-6927	242	12	where	where	SCONJ
fumecheng-6927	242	13	the	the	DET
fumecheng-6927	242	14	initial	initial	ADJ
fumecheng-6927	242	15	force	force	NOUN
fumecheng-6927	242	16	and	and	CCONJ
fumecheng-6927	242	17	force	force	VERB
fumecheng-6927	242	18	derivatives	derivative	NOUN
fumecheng-6927	242	19	at	at	ADP
fumecheng-6927	242	20	time	time	NOUN
fumecheng-6927	242	21	zero	zero	NUM
fumecheng-6927	242	22	are	be	AUX
fumecheng-6927	242	23	all	all	ADV
fumecheng-6927	242	24	equal	equal	ADJ
fumecheng-6927	242	25	to	to	ADP
fumecheng-6927	242	26	zero	zero	NUM
fumecheng-6927	242	27	,	,	PUNCT
fumecheng-6927	242	28	�	�	PROPN
fumecheng-6927	242	29	̈	̈	X
fumecheng-6927	242	30	�	�	NOUN
fumecheng-6927	242	31	(0	(0	X
fumecheng-6927	242	32	)	)	PUNCT
fumecheng-6927	242	33	=	=	SYM
fumecheng-6927	242	34	�	�	PROPN
fumecheng-6927	242	35	̇	̇	PROPN
fumecheng-6927	242	36	�	�	PROPN
fumecheng-6927	242	37	(0	(0	X
fumecheng-6927	242	38	)	)	PUNCT
fumecheng-6927	242	39	=	=	PUNCT
fumecheng-6927	242	40	𝐹(0	𝐹(0	X
fumecheng-6927	242	41	)	)	PUNCT
fumecheng-6927	242	42	=	=	SYM
fumecheng-6927	242	43	0	0	X
fumecheng-6927	242	44	.	.	PUNCT
fumecheng-6927	243	1	the	the	DET
fumecheng-6927	243	2	corresponding	corresponding	ADJ
fumecheng-6927	243	3	implementation	implementation	NOUN
fumecheng-6927	243	4	in	in	ADP
fumecheng-6927	243	5	python	python	PROPN
fumecheng-6927	243	6	code	code	NOUN
fumecheng-6927	243	7	is	be	AUX
fumecheng-6927	243	8	illustrated	illustrate	VERB
fumecheng-6927	243	9	in	in	ADP
fumecheng-6927	243	10	the	the	DET
fumecheng-6927	243	11	contact_mode	contact_mode	PROPN
fumecheng-6927	243	12	function	function	NOUN
fumecheng-6927	243	13	.	.	PUNCT
fumecheng-6927	244	1	this	this	DET
fumecheng-6927	244	2	algorithm	algorithm	NOUN
fumecheng-6927	244	3	is	be	AUX
fumecheng-6927	244	4	also	also	ADV
fumecheng-6927	244	5	implemented	implement	VERB
fumecheng-6927	244	6	in	in	ADP
fumecheng-6927	244	7	the	the	DET
fumecheng-6927	244	8	excel	excel	NOUN
fumecheng-6927	244	9	spreadsheet	spreadsheet	NOUN
fumecheng-6927	244	10	provide	provide	VERB
fumecheng-6927	244	11	in	in	ADP
fumecheng-6927	244	12	the	the	DET
fumecheng-6927	244	13	online	online	ADJ
fumecheng-6927	244	14	repository	repository	NOUN
fumecheng-6927	245	1	[	[	X
fumecheng-6927	245	2	40	40	NUM
fumecheng-6927	245	3	]	]	PUNCT
fumecheng-6927	245	4	.	.	PUNCT
fumecheng-6927	246	1	2.5.3	2.5.3	NUM
fumecheng-6927	246	2	.	.	NOUN
fumecheng-6927	246	3	numerical	numerical	ADJ
fumecheng-6927	246	4	solution	solution	NOUN
fumecheng-6927	246	5	for	for	ADP
fumecheng-6927	246	6	the	the	DET
fumecheng-6927	246	7	viscoelastic	viscoelastic	NOUN
fumecheng-6927	246	8	recovery	recovery	NOUN
fumecheng-6927	246	9	after	after	SCONJ
fumecheng-6927	246	10	the	the	DET
fumecheng-6927	246	11	afm	afm	PROPN
fumecheng-6927	246	12	tip	tip	NOUN
fumecheng-6927	246	13	loses	lose	VERB
fumecheng-6927	246	14	contact	contact	NOUN
fumecheng-6927	246	15	with	with	ADP
fumecheng-6927	246	16	the	the	DET
fumecheng-6927	246	17	surface	surface	NOUN
fumecheng-6927	246	18	during	during	ADP
fumecheng-6927	246	19	the	the	DET
fumecheng-6927	246	20	retract	retract	ADJ
fumecheng-6927	246	21	portion	portion	NOUN
fumecheng-6927	246	22	of	of	ADP
fumecheng-6927	246	23	the	the	DET
fumecheng-6927	246	24	spectroscopy	spectroscopy	NOUN
fumecheng-6927	246	25	curve	curve	NOUN
fumecheng-6927	246	26	:	:	PUNCT
fumecheng-6927	246	27	the	the	DET
fumecheng-6927	246	28	rebound	rebound	NOUN
fumecheng-6927	246	29	problem	problem	NOUN
fumecheng-6927	246	30	this	this	DET
fumecheng-6927	246	31	portion	portion	NOUN
fumecheng-6927	246	32	of	of	ADP
fumecheng-6927	246	33	the	the	DET
fumecheng-6927	246	34	simulation	simulation	NOUN
fumecheng-6927	246	35	applies	apply	VERB
fumecheng-6927	246	36	only	only	ADV
fumecheng-6927	246	37	for	for	ADP
fumecheng-6927	246	38	the	the	DET
fumecheng-6927	246	39	retraction	retraction	NOUN
fumecheng-6927	246	40	portion	portion	NOUN
fumecheng-6927	246	41	of	of	ADP
fumecheng-6927	246	42	the	the	DET
fumecheng-6927	246	43	indenter	indenter	NOUN
fumecheng-6927	246	44	trajectory	trajectory	NOUN
fumecheng-6927	246	45	,	,	PUNCT
fumecheng-6927	246	46	after	after	SCONJ
fumecheng-6927	246	47	the	the	DET
fumecheng-6927	246	48	indenter	indenter	NOUN
fumecheng-6927	246	49	loses	lose	VERB
fumecheng-6927	246	50	contact	contact	NOUN
fumecheng-6927	246	51	with	with	ADP
fumecheng-6927	246	52	the	the	DET
fumecheng-6927	246	53	viscoelastic	viscoelastic	ADJ
fumecheng-6927	246	54	sample	sample	NOUN
fumecheng-6927	246	55	.	.	PUNCT
fumecheng-6927	247	1	at	at	ADP
fumecheng-6927	247	2	this	this	DET
fumecheng-6927	247	3	point	point	NOUN
fumecheng-6927	247	4	the	the	DET
fumecheng-6927	247	5	temporarily	temporarily	ADV
fumecheng-6927	247	6	indented	indented	ADJ
fumecheng-6927	247	7	viscoelastic	viscoelastic	ADJ
fumecheng-6927	247	8	surface	surface	NOUN
fumecheng-6927	247	9	becomes	become	VERB
fumecheng-6927	247	10	‘	'	PUNCT
fumecheng-6927	247	11	stress	stress	NOUN
fumecheng-6927	247	12	-	-	PUNCT
fumecheng-6927	247	13	free	free	ADJ
fumecheng-6927	247	14	’	'	PUNCT
fumecheng-6927	247	15	(	(	PUNCT
fumecheng-6927	247	16	since	since	SCONJ
fumecheng-6927	247	17	there	there	PRON
fumecheng-6927	247	18	is	be	VERB
fumecheng-6927	247	19	no	no	PRON
fumecheng-6927	247	20	longer	long	ADV
fumecheng-6927	247	21	an	an	DET
fumecheng-6927	247	22	indenter	indenter	NOUN
fumecheng-6927	247	23	exerting	exert	VERB
fumecheng-6927	247	24	forces	force	NOUN
fumecheng-6927	247	25	on	on	ADP
fumecheng-6927	247	26	it	it	PRON
fumecheng-6927	247	27	)	)	PUNCT
fumecheng-6927	247	28	and	and	CCONJ
fumecheng-6927	247	29	recovers	recover	NOUN
fumecheng-6927	247	30	in	in	ADP
fumecheng-6927	247	31	time	time	NOUN
fumecheng-6927	247	32	according	accord	VERB
fumecheng-6927	247	33	to	to	ADP
fumecheng-6927	247	34	a	a	DET
fumecheng-6927	247	35	deformation	deformation	NOUN
fumecheng-6927	247	36	profile	profile	NOUN
fumecheng-6927	247	37	that	that	PRON
fumecheng-6927	247	38	depends	depend	VERB
fumecheng-6927	247	39	on	on	ADP
fumecheng-6927	247	40	its	its	PRON
fumecheng-6927	247	41	viscoelastic	viscoelastic	ADJ
fumecheng-6927	247	42	properties	property	NOUN
fumecheng-6927	247	43	and	and	CCONJ
fumecheng-6927	247	44	on	on	ADP
fumecheng-6927	247	45	the	the	DET
fumecheng-6927	247	46	previous	previous	ADJ
fumecheng-6927	247	47	indentation	indentation	NOUN
fumecheng-6927	247	48	history	history	NOUN
fumecheng-6927	247	49	.	.	PUNCT
fumecheng-6927	248	1	this	this	DET
fumecheng-6927	248	2	process	process	NOUN
fumecheng-6927	248	3	is	be	AUX
fumecheng-6927	248	4	also	also	ADV
fumecheng-6927	248	5	known	know	VERB
fumecheng-6927	248	6	as	as	ADP
fumecheng-6927	248	7	the	the	DET
fumecheng-6927	248	8	rebound	rebound	NOUN
fumecheng-6927	248	9	indentation	indentation	NOUN
fumecheng-6927	248	10	portion	portion	NOUN
fumecheng-6927	248	11	[	[	X
fumecheng-6927	248	12	50	50	NUM
fumecheng-6927	248	13	]	]	PUNCT
fumecheng-6927	248	14	.	.	PUNCT
fumecheng-6927	249	1	this	this	DET
fumecheng-6927	249	2	portion	portion	NOUN
fumecheng-6927	249	3	is	be	AUX
fumecheng-6927	249	4	seemingly	seemingly	ADV
fumecheng-6927	249	5	irrelevant	irrelevant	ADJ
fumecheng-6927	249	6	for	for	ADP
fumecheng-6927	249	7	the	the	DET
fumecheng-6927	249	8	characterization	characterization	NOUN
fumecheng-6927	249	9	of	of	ADP
fumecheng-6927	249	10	viscoelastic	viscoelastic	ADJ
fumecheng-6927	249	11	materials	material	NOUN
fumecheng-6927	249	12	using	use	VERB
fumecheng-6927	249	13	afm	afm	PROPN
fumecheng-6927	249	14	force	force	NOUN
fumecheng-6927	249	15	-	-	PUNCT
fumecheng-6927	249	16	distance	distance	NOUN
fumecheng-6927	249	17	curve	curve	NOUN
fumecheng-6927	249	18	methods	method	NOUN
fumecheng-6927	249	19	because	because	SCONJ
fumecheng-6927	249	20	there	there	PRON
fumecheng-6927	249	21	is	be	VERB
fumecheng-6927	249	22	no	no	DET
fumecheng-6927	249	23	way	way	NOUN
fumecheng-6927	249	24	to	to	PART
fumecheng-6927	249	25	observe	observe	VERB
fumecheng-6927	249	26	from	from	ADP
fumecheng-6927	249	27	experimental	experimental	ADJ
fumecheng-6927	249	28	observables	observable	NOUN
fumecheng-6927	249	29	the	the	DET
fumecheng-6927	249	30	surface	surface	NOUN
fumecheng-6927	249	31	recovery	recovery	NOUN
fumecheng-6927	249	32	.	.	PUNCT
fumecheng-6927	250	1	however	however	ADV
fumecheng-6927	250	2	,	,	PUNCT
fumecheng-6927	250	3	in	in	ADP
fumecheng-6927	250	4	the	the	DET
fumecheng-6927	250	5	simulations	simulation	NOUN
fumecheng-6927	250	6	it	it	PRON
fumecheng-6927	250	7	is	be	AUX
fumecheng-6927	250	8	relevant	relevant	ADJ
fumecheng-6927	250	9	as	as	SCONJ
fumecheng-6927	250	10	we	we	PRON
fumecheng-6927	250	11	need	need	VERB
fumecheng-6927	250	12	to	to	PART
fumecheng-6927	250	13	track	track	VERB
fumecheng-6927	250	14	surface	surface	NOUN
fumecheng-6927	250	15	guidelines	guideline	NOUN
fumecheng-6927	250	16	to	to	PART
fumecheng-6927	250	17	simulate	simulate	VERB
fumecheng-6927	250	18	linear	linear	ADJ
fumecheng-6927	250	19	viscoelastic	viscoelastic	NOUN
fumecheng-6927	250	20	materials	material	NOUN
fumecheng-6927	250	21	with	with	ADP
fumecheng-6927	250	22	an	an	DET
fumecheng-6927	250	23	arbitrary	arbitrary	ADJ
fumecheng-6927	250	24	number	number	NOUN
fumecheng-6927	250	25	of	of	ADP
fumecheng-6927	250	26	characteristic	characteristic	ADJ
fumecheng-6927	250	27	times	time	NOUN
fumecheng-6927	250	28	...	...	PUNCT
fumecheng-6927	250	29	145	145	NUM
fumecheng-6927	250	30	position	position	NOUN
fumecheng-6927	250	31	for	for	ADP
fumecheng-6927	250	32	each	each	DET
fumecheng-6927	250	33	time	time	NOUN
fumecheng-6927	250	34	step	step	NOUN
fumecheng-6927	250	35	even	even	ADV
fumecheng-6927	250	36	if	if	SCONJ
fumecheng-6927	250	37	the	the	DET
fumecheng-6927	250	38	tip	tip	NOUN
fumecheng-6927	250	39	temporarily	temporarily	ADV
fumecheng-6927	250	40	loses	lose	VERB
fumecheng-6927	250	41	contact	contact	NOUN
fumecheng-6927	250	42	with	with	ADP
fumecheng-6927	250	43	the	the	DET
fumecheng-6927	250	44	sample	sample	NOUN
fumecheng-6927	250	45	.	.	PUNCT
fumecheng-6927	251	1	this	this	PRON
fumecheng-6927	251	2	allows	allow	VERB
fumecheng-6927	251	3	us	we	PRON
fumecheng-6927	251	4	to	to	PART
fumecheng-6927	251	5	have	have	VERB
fumecheng-6927	251	6	continuity	continuity	NOUN
fumecheng-6927	251	7	of	of	ADP
fumecheng-6927	251	8	tip	tip	NOUN
fumecheng-6927	251	9	-	-	PUNCT
fumecheng-6927	251	10	sample	sample	NOUN
fumecheng-6927	251	11	distance	distance	NOUN
fumecheng-6927	251	12	knowledge	knowledge	NOUN
fumecheng-6927	251	13	,	,	PUNCT
fumecheng-6927	251	14	which	which	PRON
fumecheng-6927	251	15	is	be	AUX
fumecheng-6927	251	16	relevant	relevant	ADJ
fumecheng-6927	251	17	in	in	ADP
fumecheng-6927	251	18	the	the	DET
fumecheng-6927	251	19	calculation	calculation	NOUN
fumecheng-6927	251	20	of	of	ADP
fumecheng-6927	251	21	long	long	ADJ
fumecheng-6927	251	22	-	-	PUNCT
fumecheng-6927	251	23	range	range	NOUN
fumecheng-6927	251	24	noncontact	noncontact	ADJ
fumecheng-6927	251	25	forces	force	NOUN
fumecheng-6927	251	26	(	(	PUNCT
fumecheng-6927	251	27	section	section	NOUN
fumecheng-6927	251	28	3.2	3.2	NUM
fumecheng-6927	251	29	)	)	PUNCT
fumecheng-6927	251	30	.	.	PUNCT
fumecheng-6927	252	1	focusing	focus	VERB
fumecheng-6927	252	2	now	now	ADV
fumecheng-6927	252	3	on	on	ADP
fumecheng-6927	252	4	the	the	DET
fumecheng-6927	252	5	technical	technical	ADJ
fumecheng-6927	252	6	details	detail	NOUN
fumecheng-6927	252	7	,	,	PUNCT
fumecheng-6927	252	8	the	the	DET
fumecheng-6927	252	9	onset	onset	NOUN
fumecheng-6927	252	10	of	of	ADP
fumecheng-6927	252	11	this	this	DET
fumecheng-6927	252	12	portion	portion	NOUN
fumecheng-6927	252	13	in	in	ADP
fumecheng-6927	252	14	the	the	DET
fumecheng-6927	252	15	simulation	simulation	NOUN
fumecheng-6927	252	16	will	will	AUX
fumecheng-6927	252	17	be	be	AUX
fumecheng-6927	252	18	indicated	indicate	VERB
fumecheng-6927	252	19	by	by	ADP
fumecheng-6927	252	20	a	a	DET
fumecheng-6927	252	21	change	change	NOUN
fumecheng-6927	252	22	of	of	ADP
fumecheng-6927	252	23	sign	sign	NOUN
fumecheng-6927	252	24	in	in	ADP
fumecheng-6927	252	25	the	the	DET
fumecheng-6927	252	26	force	force	NOUN
fumecheng-6927	252	27	term	term	NOUN
fumecheng-6927	252	28	.	.	PUNCT
fumecheng-6927	253	1	since	since	SCONJ
fumecheng-6927	253	2	forces	force	NOUN
fumecheng-6927	253	3	can	can	AUX
fumecheng-6927	253	4	not	not	PART
fumecheng-6927	253	5	become	become	VERB
fumecheng-6927	253	6	negative	negative	ADJ
fumecheng-6927	253	7	(	(	PUNCT
fumecheng-6927	253	8	assuming	assume	VERB
fumecheng-6927	253	9	the	the	DET
fumecheng-6927	253	10	absence	absence	NOUN
fumecheng-6927	253	11	of	of	ADP
fumecheng-6927	253	12	van	van	PROPN
fumecheng-6927	253	13	der	der	NOUN
fumecheng-6927	253	14	waals	waal	NOUN
fumecheng-6927	253	15	forces	force	NOUN
fumecheng-6927	253	16	)	)	PUNCT
fumecheng-6927	253	17	,	,	PUNCT
fumecheng-6927	253	18	as	as	SCONJ
fumecheng-6927	253	19	this	this	PRON
fumecheng-6927	253	20	would	would	AUX
fumecheng-6927	253	21	indicate	indicate	VERB
fumecheng-6927	253	22	that	that	SCONJ
fumecheng-6927	253	23	the	the	DET
fumecheng-6927	253	24	afm	afm	PROPN
fumecheng-6927	253	25	tip	tip	NOUN
fumecheng-6927	253	26	is	be	AUX
fumecheng-6927	253	27	grabbing	grab	VERB
fumecheng-6927	253	28	and	and	CCONJ
fumecheng-6927	253	29	pulling	pull	VERB
fumecheng-6927	253	30	the	the	DET
fumecheng-6927	253	31	surface	surface	NOUN
fumecheng-6927	253	32	upwards	upwards	ADV
fumecheng-6927	253	33	,	,	PUNCT
fumecheng-6927	253	34	a	a	DET
fumecheng-6927	253	35	flag	flag	NOUN
fumecheng-6927	253	36	variable	variable	NOUN
fumecheng-6927	253	37	in	in	ADP
fumecheng-6927	253	38	the	the	DET
fumecheng-6927	253	39	simulation	simulation	NOUN
fumecheng-6927	253	40	should	should	AUX
fumecheng-6927	253	41	be	be	AUX
fumecheng-6927	253	42	established	establish	VERB
fumecheng-6927	253	43	to	to	PART
fumecheng-6927	253	44	determine	determine	VERB
fumecheng-6927	253	45	when	when	SCONJ
fumecheng-6927	253	46	the	the	DET
fumecheng-6927	253	47	force	force	NOUN
fumecheng-6927	253	48	changes	change	VERB
fumecheng-6927	253	49	from	from	ADP
fumecheng-6927	253	50	positive	positive	ADJ
fumecheng-6927	253	51	to	to	PART
fumecheng-6927	253	52	negative	negative	VERB
fumecheng-6927	253	53	.	.	PUNCT
fumecheng-6927	254	1	from	from	ADP
fumecheng-6927	254	2	this	this	DET
fumecheng-6927	254	3	point	point	NOUN
fumecheng-6927	254	4	on	on	ADP
fumecheng-6927	254	5	,	,	PUNCT
fumecheng-6927	254	6	the	the	DET
fumecheng-6927	254	7	stress	stress	NOUN
fumecheng-6927	254	8	-	-	PUNCT
fumecheng-6927	254	9	free	free	ADJ
fumecheng-6927	254	10	condition	condition	NOUN
fumecheng-6927	254	11	begins	begin	VERB
fumecheng-6927	254	12	,	,	PUNCT
fumecheng-6927	254	13	and	and	CCONJ
fumecheng-6927	254	14	the	the	DET
fumecheng-6927	254	15	calculations	calculation	NOUN
fumecheng-6927	254	16	described	describe	VERB
fumecheng-6927	254	17	in	in	ADP
fumecheng-6927	254	18	the	the	DET
fumecheng-6927	254	19	previous	previous	ADJ
fumecheng-6927	254	20	section	section	NOUN
fumecheng-6927	254	21	(	(	PUNCT
fumecheng-6927	254	22	2.5.1	2.5.1	NUM
fumecheng-6927	254	23	)	)	PUNCT
fumecheng-6927	254	24	are	be	AUX
fumecheng-6927	254	25	no	no	ADV
fumecheng-6927	254	26	longer	long	ADV
fumecheng-6927	254	27	applicable	applicable	ADJ
fumecheng-6927	254	28	.	.	PUNCT
fumecheng-6927	255	1	specifically	specifically	ADV
fumecheng-6927	255	2	,	,	PUNCT
fumecheng-6927	255	3	the	the	DET
fumecheng-6927	255	4	input	input	NOUN
fumecheng-6927	255	5	parameter	parameter	NOUN
fumecheng-6927	255	6	for	for	ADP
fumecheng-6927	255	7	the	the	DET
fumecheng-6927	255	8	rebound	rebound	NOUN
fumecheng-6927	255	9	portion	portion	NOUN
fumecheng-6927	255	10	will	will	AUX
fumecheng-6927	255	11	not	not	PART
fumecheng-6927	255	12	be	be	AUX
fumecheng-6927	255	13	the	the	DET
fumecheng-6927	255	14	indentation	indentation	NOUN
fumecheng-6927	255	15	as	as	ADP
fumecheng-6927	255	16	in	in	ADP
fumecheng-6927	255	17	the	the	DET
fumecheng-6927	255	18	previous	previous	ADJ
fumecheng-6927	255	19	section	section	NOUN
fumecheng-6927	255	20	.	.	PUNCT
fumecheng-6927	256	1	instead	instead	ADV
fumecheng-6927	256	2	,	,	PUNCT
fumecheng-6927	256	3	the	the	DET
fumecheng-6927	256	4	stress	stress	NOUN
fumecheng-6927	256	5	-	-	PUNCT
fumecheng-6927	256	6	free	free	ADJ
fumecheng-6927	256	7	condition	condition	NOUN
fumecheng-6927	256	8	,	,	PUNCT
fumecheng-6927	256	9	which	which	PRON
fumecheng-6927	256	10	governs	govern	VERB
fumecheng-6927	256	11	the	the	DET
fumecheng-6927	256	12	recovery	recovery	NOUN
fumecheng-6927	256	13	,	,	PUNCT
fumecheng-6927	256	14	dictates	dictate	VERB
fumecheng-6927	256	15	that	that	SCONJ
fumecheng-6927	256	16	in	in	ADP
fumecheng-6927	256	17	our	our	PRON
fumecheng-6927	256	18	calculations	calculation	NOUN
fumecheng-6927	256	19	all	all	PRON
fumecheng-6927	256	20	force	force	VERB
fumecheng-6927	256	21	values	value	NOUN
fumecheng-6927	256	22	and	and	CCONJ
fumecheng-6927	256	23	force	force	VERB
fumecheng-6927	256	24	derivatives	derivative	NOUN
fumecheng-6927	256	25	become	become	VERB
fumecheng-6927	256	26	zero	zero	NUM
fumecheng-6927	256	27	.	.	PUNCT
fumecheng-6927	257	1	thus	thus	ADV
fumecheng-6927	257	2	,	,	PUNCT
fumecheng-6927	257	3	eq	eq	ADJ
fumecheng-6927	257	4	.	.	PUNCT
fumecheng-6927	258	1	(	(	PUNCT
fumecheng-6927	258	2	9	9	X
fumecheng-6927	258	3	)	)	PUNCT
fumecheng-6927	258	4	reduces	reduce	VERB
fumecheng-6927	258	5	simply	simply	ADV
fumecheng-6927	258	6	to	to	PART
fumecheng-6927	258	7	:	:	PUNCT
fumecheng-6927	258	8	𝛼	𝛼	X
fumecheng-6927	258	9	[	[	X
fumecheng-6927	258	10	𝑞0𝑝	𝑞0𝑝	X
fumecheng-6927	258	11	+	+	CCONJ
fumecheng-6927	258	12	𝑞1	𝑞1	PROPN
fumecheng-6927	258	13	𝑑𝑝	𝑑𝑝	ADP
fumecheng-6927	258	14	dt	dt	NOUN
fumecheng-6927	259	1	+	+	NUM
fumecheng-6927	259	2	𝑞2	𝑞2	NOUN
fumecheng-6927	259	3	𝑑2𝑝	𝑑2𝑝	VERB
fumecheng-6927	259	4	𝑑𝑡2	𝑑𝑡2	NOUN
fumecheng-6927	259	5	+	+	PROPN
fumecheng-6927	259	6	.	.	PUNCT
fumecheng-6927	259	7	.	.	PUNCT
fumecheng-6927	259	8	.	.	PUNCT
fumecheng-6927	260	1	+	+	ADV
fumecheng-6927	260	2	𝑞𝑁	𝑞𝑁	PROPN
fumecheng-6927	260	3	𝑑𝑁𝑝	𝑑𝑁𝑝	VERB
fumecheng-6927	260	4	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	260	5	]	]	X
fumecheng-6927	260	6	=	=	SYM
fumecheng-6927	260	7	0	0	NUM
fumecheng-6927	260	8	(	(	PUNCT
fumecheng-6927	260	9	37	37	NUM
fumecheng-6927	260	10	)	)	PUNCT
fumecheng-6927	260	11	and	and	CCONJ
fumecheng-6927	260	12	we	we	PRON
fumecheng-6927	260	13	solve	solve	VERB
fumecheng-6927	260	14	for	for	ADP
fumecheng-6927	260	15	the	the	DET
fumecheng-6927	260	16	highest	high	ADJ
fumecheng-6927	260	17	-	-	PUNCT
fumecheng-6927	260	18	order	order	NOUN
fumecheng-6927	260	19	derivative	derivative	NOUN
fumecheng-6927	260	20	of	of	ADP
fumecheng-6927	260	21	the	the	DET
fumecheng-6927	260	22	deformation	deformation	NOUN
fumecheng-6927	260	23	(	(	PUNCT
fumecheng-6927	260	24	recall	recall	VERB
fumecheng-6927	260	25	that	that	SCONJ
fumecheng-6927	260	26	we	we	PRON
fumecheng-6927	260	27	are	be	AUX
fumecheng-6927	260	28	now	now	ADV
fumecheng-6927	260	29	solving	solve	VERB
fumecheng-6927	260	30	for	for	ADP
fumecheng-6927	260	31	the	the	DET
fumecheng-6927	260	32	deformation	deformation	NOUN
fumecheng-6927	260	33	profile	profile	NOUN
fumecheng-6927	260	34	):	):	PUNCT
fumecheng-6927	260	35	𝑑𝑁𝑝	𝑑𝑁𝑝	ADJ
fumecheng-6927	260	36	𝑑𝑡𝑁	𝑑𝑡𝑁	X
fumecheng-6927	260	37	=	=	SYM
fumecheng-6927	260	38	−	−	PROPN
fumecheng-6927	260	39	1	1	NUM
fumecheng-6927	260	40	𝑞𝑁	𝑞𝑁	PROPN
fumecheng-6927	260	41	(	(	PUNCT
fumecheng-6927	260	42	𝑞0𝑝	𝑞0𝑝	PROPN
fumecheng-6927	260	43	+	+	CCONJ
fumecheng-6927	260	44	𝑞1	𝑞1	PROPN
fumecheng-6927	260	45	𝑑𝑝	𝑑𝑝	ADP
fumecheng-6927	260	46	dt	dt	NOUN
fumecheng-6927	260	47	+	+	NUM
fumecheng-6927	260	48	𝑞2	𝑞2	NOUN
fumecheng-6927	260	49	𝑑2𝑝	𝑑2𝑝	VERB
fumecheng-6927	260	50	𝑑𝑡2	𝑑𝑡2	NOUN
fumecheng-6927	260	51	+	+	PROPN
fumecheng-6927	260	52	.	.	PUNCT
fumecheng-6927	260	53	.	.	PUNCT
fumecheng-6927	260	54	.	.	PUNCT
fumecheng-6927	261	1	+	+	VERB
fumecheng-6927	261	2	𝑞𝑁−1	𝑞𝑁−1	NOUN
fumecheng-6927	261	3	𝑑𝑁−1𝑝	𝑑𝑁−1𝑝	VERB
fumecheng-6927	261	4	𝑑𝑡𝑁−1	𝑑𝑡𝑁−1	NOUN
fumecheng-6927	261	5	)	)	PUNCT
fumecheng-6927	261	6	(	(	PUNCT
fumecheng-6927	261	7	38	38	NUM
fumecheng-6927	261	8	)	)	PUNCT
fumecheng-6927	261	9	the	the	DET
fumecheng-6927	261	10	lower	low	ADJ
fumecheng-6927	261	11	-	-	PUNCT
fumecheng-6927	261	12	order	order	NOUN
fumecheng-6927	261	13	deformation	deformation	NOUN
fumecheng-6927	261	14	derivatives	derivative	NOUN
fumecheng-6927	261	15	can	can	AUX
fumecheng-6927	261	16	now	now	ADV
fumecheng-6927	261	17	be	be	AUX
fumecheng-6927	261	18	determined	determine	VERB
fumecheng-6927	261	19	by	by	ADP
fumecheng-6927	261	20	using	use	VERB
fumecheng-6927	261	21	euler	euler	NOUN
fumecheng-6927	261	22	integration	integration	NOUN
fumecheng-6927	261	23	:	:	PUNCT
fumecheng-6927	261	24	𝑝𝑖	𝑝𝑖	NOUN
fumecheng-6927	261	25	𝑁−1	𝑁−1	NOUN
fumecheng-6927	261	26	=	=	PUNCT
fumecheng-6927	261	27	𝑝𝑖−1	𝑝𝑖−1	NOUN
fumecheng-6927	261	28	𝑁−1	𝑁−1	NOUN
fumecheng-6927	261	29	+	+	CCONJ
fumecheng-6927	261	30	𝑝𝑖	𝑝𝑖	PROPN
fumecheng-6927	261	31	𝑁δ𝑡	𝑁δ𝑡	PROPN
fumecheng-6927	261	32	(	(	PUNCT
fumecheng-6927	261	33	39	39	NUM
fumecheng-6927	261	34	)	)	PUNCT
fumecheng-6927	261	35	…	…	PUNCT
fumecheng-6927	261	36	�	�	SYM
fumecheng-6927	261	37	̇	̇	NOUN
fumecheng-6927	261	38	�	�	PROPN
fumecheng-6927	261	39	𝑖	𝑖	SYM
fumecheng-6927	261	40	=	=	SYM
fumecheng-6927	261	41	�	�	PROPN
fumecheng-6927	261	42	̇	̇	PROPN
fumecheng-6927	261	43	�	�	PROPN
fumecheng-6927	261	44	𝑖−1	𝑖−1	PROPN
fumecheng-6927	261	45	+	+	PROPN
fumecheng-6927	261	46	�	�	PROPN
fumecheng-6927	261	47	̈	̈	SYM
fumecheng-6927	261	48	�	�	NOUN
fumecheng-6927	261	49	𝑖δ𝑡	𝑖δ𝑡	NOUN
fumecheng-6927	261	50	(	(	PUNCT
fumecheng-6927	261	51	40	40	NUM
fumecheng-6927	261	52	)	)	PUNCT
fumecheng-6927	261	53	𝑝𝑖	𝑝𝑖	NOUN
fumecheng-6927	261	54	=	=	PROPN
fumecheng-6927	261	55	𝑝𝑖−1	𝑝𝑖−1	PROPN
fumecheng-6927	261	56	+	+	PROPN
fumecheng-6927	261	57	�	�	PROPN
fumecheng-6927	261	58	̇	̇	PROPN
fumecheng-6927	261	59	�	�	PROPN
fumecheng-6927	261	60	𝑖δ𝑡	𝑖δ𝑡	X
fumecheng-6927	261	61	(	(	PUNCT
fumecheng-6927	261	62	41	41	NUM
fumecheng-6927	261	63	)	)	PUNCT
fumecheng-6927	261	64	and	and	CCONJ
fumecheng-6927	261	65	finally	finally	ADV
fumecheng-6927	261	66	,	,	PUNCT
fumecheng-6927	261	67	using	use	VERB
fumecheng-6927	261	68	eq	eq	ADP
fumecheng-6927	261	69	.	.	PUNCT
fumecheng-6927	262	1	(	(	PUNCT
fumecheng-6927	262	2	27	27	NUM
fumecheng-6927	262	3	)	)	PUNCT
fumecheng-6927	262	4	,	,	PUNCT
fumecheng-6927	262	5	the	the	DET
fumecheng-6927	262	6	sample	sample	NOUN
fumecheng-6927	262	7	surface	surface	NOUN
fumecheng-6927	262	8	position	position	NOUN
fumecheng-6927	262	9	can	can	AUX
fumecheng-6927	262	10	be	be	AUX
fumecheng-6927	262	11	calculated	calculate	VERB
fumecheng-6927	262	12	:	:	PUNCT
fumecheng-6927	262	13	ℎ𝑖	ℎ𝑖	NOUN
fumecheng-6927	262	14	=	=	PUNCT
fumecheng-6927	262	15	𝑝𝑖	𝑝𝑖	PROPN
fumecheng-6927	262	16	2/3	2/3	NUM
fumecheng-6927	262	17	(	(	PUNCT
fumecheng-6927	262	18	42	42	NUM
fumecheng-6927	262	19	)	)	PUNCT
fumecheng-6927	262	20	it	it	PRON
fumecheng-6927	262	21	is	be	AUX
fumecheng-6927	262	22	noteworthy	noteworthy	ADJ
fumecheng-6927	262	23	that	that	SCONJ
fumecheng-6927	262	24	in	in	ADP
fumecheng-6927	262	25	this	this	DET
fumecheng-6927	262	26	procedure	procedure	NOUN
fumecheng-6927	262	27	the	the	DET
fumecheng-6927	262	28	indenter	indenter	NOUN
fumecheng-6927	262	29	shape	shape	PROPN
fumecheng-6927	262	30	parameter	parameter	NOUN
fumecheng-6927	262	31	(	(	PUNCT
fumecheng-6927	262	32	α	α	NOUN
fumecheng-6927	262	33	)	)	PUNCT
fumecheng-6927	262	34	has	have	AUX
fumecheng-6927	262	35	not	not	PART
fumecheng-6927	262	36	played	play	VERB
fumecheng-6927	262	37	a	a	DET
fumecheng-6927	262	38	role	role	NOUN
fumecheng-6927	262	39	.	.	PUNCT
fumecheng-6927	263	1	this	this	PRON
fumecheng-6927	263	2	is	be	AUX
fumecheng-6927	263	3	in	in	ADP
fumecheng-6927	263	4	accordance	accordance	NOUN
fumecheng-6927	263	5	to	to	ADP
fumecheng-6927	263	6	the	the	DET
fumecheng-6927	263	7	literature	literature	NOUN
fumecheng-6927	263	8	,	,	PUNCT
fumecheng-6927	263	9	where	where	SCONJ
fumecheng-6927	263	10	it	it	PRON
fumecheng-6927	263	11	has	have	AUX
fumecheng-6927	263	12	been	be	AUX
fumecheng-6927	263	13	noted	note	VERB
fumecheng-6927	263	14	that	that	SCONJ
fumecheng-6927	263	15	for	for	ADP
fumecheng-6927	263	16	the	the	DET
fumecheng-6927	263	17	rebound	rebound	NOUN
fumecheng-6927	263	18	viscoelastic	viscoelastic	ADJ
fumecheng-6927	263	19	problem	problem	NOUN
fumecheng-6927	263	20	the	the	DET
fumecheng-6927	263	21	viscoelastic	viscoelastic	ADJ
fumecheng-6927	263	22	surface	surface	NOUN
fumecheng-6927	263	23	recovery	recovery	NOUN
fumecheng-6927	263	24	is	be	AUX
fumecheng-6927	263	25	independent	independent	ADJ
fumecheng-6927	263	26	of	of	ADP
fumecheng-6927	263	27	the	the	DET
fumecheng-6927	263	28	indenter	indenter	NOUN
fumecheng-6927	263	29	shape	shape	NOUN
fumecheng-6927	263	30	[	[	X
fumecheng-6927	263	31	50	50	NUM
fumecheng-6927	263	32	]	]	PUNCT
fumecheng-6927	263	33	.	.	PUNCT
fumecheng-6927	264	1	further	far	ADV
fumecheng-6927	264	2	,	,	PUNCT
fumecheng-6927	264	3	as	as	SCONJ
fumecheng-6927	264	4	all	all	DET
fumecheng-6927	264	5	the	the	DET
fumecheng-6927	264	6	viscoelastic	viscoelastic	ADJ
fumecheng-6927	264	7	forces	force	NOUN
fumecheng-6927	264	8	are	be	AUX
fumecheng-6927	264	9	zero	zero	NUM
fumecheng-6927	264	10	,	,	PUNCT
fumecheng-6927	264	11	due	due	ADP
fumecheng-6927	264	12	to	to	ADP
fumecheng-6927	264	13	the	the	DET
fumecheng-6927	264	14	stress	stress	NOUN
fumecheng-6927	264	15	-	-	PUNCT
fumecheng-6927	264	16	free	free	ADJ
fumecheng-6927	264	17	condition	condition	NOUN
fumecheng-6927	264	18	,	,	PUNCT
fumecheng-6927	264	19	the	the	DET
fumecheng-6927	264	20	only	only	ADJ
fumecheng-6927	264	21	forces	force	NOUN
fumecheng-6927	264	22	still	still	ADV
fumecheng-6927	264	23	present	present	ADJ
fumecheng-6927	264	24	between	between	ADP
fumecheng-6927	264	25	the	the	DET
fumecheng-6927	264	26	tip	tip	NOUN
fumecheng-6927	264	27	and	and	CCONJ
fumecheng-6927	264	28	the	the	DET
fumecheng-6927	264	29	sample	sample	NOUN
fumecheng-6927	264	30	are	be	AUX
fumecheng-6927	264	31	the	the	DET
fumecheng-6927	264	32	long	long	ADJ
fumecheng-6927	264	33	-	-	PUNCT
fumecheng-6927	264	34	range	range	NOUN
fumecheng-6927	264	35	noncontact	noncontact	ADJ
fumecheng-6927	264	36	forces	force	NOUN
fumecheng-6927	264	37	between	between	ADP
fumecheng-6927	264	38	the	the	DET
fumecheng-6927	264	39	tip	tip	NOUN
fumecheng-6927	264	40	and	and	CCONJ
fumecheng-6927	264	41	the	the	DET
fumecheng-6927	264	42	sample	sample	NOUN
fumecheng-6927	264	43	surface	surface	NOUN
fumecheng-6927	264	44	,	,	PUNCT
fumecheng-6927	264	45	which	which	PRON
fumecheng-6927	264	46	correspond	correspond	VERB
fumecheng-6927	264	47	to	to	ADP
fumecheng-6927	264	48	dispersion	dispersion	NOUN
fumecheng-6927	264	49	forces	force	NOUN
fumecheng-6927	264	50	(	(	PUNCT
fumecheng-6927	264	51	london	london	PROPN
fumecheng-6927	264	52	or	or	CCONJ
fumecheng-6927	264	53	van	van	PROPN
fumecheng-6927	264	54	der	der	NOUN
fumecheng-6927	264	55	waals	waal	NOUN
fumecheng-6927	264	56	forces	force	NOUN
fumecheng-6927	264	57	)	)	PUNCT
fumecheng-6927	264	58	and	and	CCONJ
fumecheng-6927	264	59	are	be	AUX
fumecheng-6927	264	60	discussed	discuss	VERB
fumecheng-6927	264	61	in	in	ADP
fumecheng-6927	264	62	section	section	NOUN
fumecheng-6927	264	63	3.2	3.2	NUM
fumecheng-6927	264	64	.	.	PUNCT
fumecheng-6927	265	1	the	the	DET
fumecheng-6927	265	2	flow	flow	NOUN
fumecheng-6927	265	3	chart	chart	NOUN
fumecheng-6927	265	4	in	in	ADP
fumecheng-6927	265	5	fig	fig	NOUN
fumecheng-6927	265	6	.	.	PUNCT
fumecheng-6927	266	1	4	4	NUM
fumecheng-6927	266	2	illustrates	illustrate	VERB
fumecheng-6927	266	3	the	the	DET
fumecheng-6927	266	4	procedure	procedure	NOUN
fumecheng-6927	266	5	to	to	PART
fumecheng-6927	266	6	calculate	calculate	VERB
fumecheng-6927	266	7	the	the	DET
fumecheng-6927	266	8	surface	surface	NOUN
fumecheng-6927	266	9	deformation	deformation	NOUN
fumecheng-6927	266	10	profile	profile	NOUN
fumecheng-6927	266	11	as	as	ADP
fumecheng-6927	266	12	a	a	DET
fumecheng-6927	266	13	function	function	NOUN
fumecheng-6927	266	14	of	of	ADP
fumecheng-6927	266	15	time	time	NOUN
fumecheng-6927	266	16	for	for	ADP
fumecheng-6927	266	17	the	the	DET
fumecheng-6927	266	18	stress	stress	NOUN
fumecheng-6927	266	19	-	-	PUNCT
fumecheng-6927	266	20	free	free	ADJ
fumecheng-6927	266	21	condition	condition	NOUN
fumecheng-6927	266	22	.	.	PUNCT
fumecheng-6927	267	1	146	146	NUM
fumecheng-6927	267	2	m.	m.	NOUN
fumecheng-6927	267	3	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	267	4	,	,	PUNCT
fumecheng-6927	267	5	e.	e.	PROPN
fumecheng-6927	267	6	a.	a.	PROPN
fumecheng-6927	267	7	lópez	lópez	PROPN
fumecheng-6927	267	8	-	-	PUNCT
fumecheng-6927	267	9	guerra	guerra	PROPN
fumecheng-6927	267	10	,	,	PUNCT
fumecheng-6927	267	11	s.	s.	PROPN
fumecheng-6927	267	12	d.	d.	PROPN
fumecheng-6927	267	13	solares	solare	VERB
fumecheng-6927	267	14	fig	fig	PROPN
fumecheng-6927	267	15	.	.	PUNCT
fumecheng-6927	267	16	4	4	NUM
fumecheng-6927	267	17	flow	flow	NOUN
fumecheng-6927	267	18	chart	chart	NOUN
fumecheng-6927	267	19	describing	describe	VERB
fumecheng-6927	267	20	the	the	DET
fumecheng-6927	267	21	calculation	calculation	NOUN
fumecheng-6927	267	22	steps	step	NOUN
fumecheng-6927	267	23	to	to	PART
fumecheng-6927	267	24	obtain	obtain	VERB
fumecheng-6927	267	25	the	the	DET
fumecheng-6927	267	26	deformation	deformation	NOUN
fumecheng-6927	267	27	response	response	NOUN
fumecheng-6927	267	28	for	for	ADP
fumecheng-6927	267	29	the	the	DET
fumecheng-6927	267	30	viscoelastic	viscoelastic	NOUN
fumecheng-6927	267	31	recovery	recovery	NOUN
fumecheng-6927	267	32	portion	portion	NOUN
fumecheng-6927	267	33	(	(	PUNCT
fumecheng-6927	267	34	rebound	rebound	VERB
fumecheng-6927	267	35	[	[	X
fumecheng-6927	267	36	50	50	NUM
fumecheng-6927	267	37	]	]	PUNCT
fumecheng-6927	267	38	)	)	PUNCT
fumecheng-6927	267	39	when	when	SCONJ
fumecheng-6927	267	40	the	the	DET
fumecheng-6927	267	41	indenter	indenter	NOUN
fumecheng-6927	267	42	loses	lose	VERB
fumecheng-6927	267	43	contact	contact	NOUN
fumecheng-6927	267	44	with	with	ADP
fumecheng-6927	267	45	the	the	DET
fumecheng-6927	267	46	viscoelastic	viscoelastic	ADJ
fumecheng-6927	267	47	surface	surface	NOUN
fumecheng-6927	267	48	during	during	ADP
fumecheng-6927	267	49	retract	retract	NOUN
fumecheng-6927	267	50	of	of	ADP
fumecheng-6927	267	51	the	the	DET
fumecheng-6927	267	52	indenter	indenter	NOUN
fumecheng-6927	267	53	.	.	PUNCT
fumecheng-6927	268	1	for	for	ADP
fumecheng-6927	268	2	each	each	DET
fumecheng-6927	268	3	timestep	timestep	NOUN
fumecheng-6927	268	4	the	the	DET
fumecheng-6927	268	5	stress	stress	NOUN
fumecheng-6927	268	6	-	-	PUNCT
fumecheng-6927	268	7	free	free	ADJ
fumecheng-6927	268	8	condition	condition	NOUN
fumecheng-6927	268	9	dictates	dictate	VERB
fumecheng-6927	268	10	that	that	SCONJ
fumecheng-6927	268	11	the	the	DET
fumecheng-6927	268	12	force	force	NOUN
fumecheng-6927	268	13	and	and	CCONJ
fumecheng-6927	268	14	all	all	DET
fumecheng-6927	268	15	its	its	PRON
fumecheng-6927	268	16	derivatives	derivative	NOUN
fumecheng-6927	268	17	in	in	ADP
fumecheng-6927	268	18	eq	eq	ADP
fumecheng-6927	268	19	.	.	PUNCT
fumecheng-6927	269	1	(	(	PUNCT
fumecheng-6927	269	2	9	9	NUM
fumecheng-6927	269	3	)	)	PUNCT
fumecheng-6927	269	4	are	be	AUX
fumecheng-6927	269	5	zero	zero	NUM
fumecheng-6927	269	6	.	.	PUNCT
fumecheng-6927	270	1	this	this	PRON
fumecheng-6927	270	2	allows	allow	VERB
fumecheng-6927	270	3	the	the	DET
fumecheng-6927	270	4	calculation	calculation	NOUN
fumecheng-6927	270	5	of	of	ADP
fumecheng-6927	270	6	higher	high	ADJ
fumecheng-6927	270	7	order	order	NOUN
fumecheng-6927	270	8	derivatives	derivative	NOUN
fumecheng-6927	270	9	of	of	ADP
fumecheng-6927	270	10	indentation	indentation	NOUN
fumecheng-6927	270	11	in	in	ADP
fumecheng-6927	270	12	rhs	rhs	PROPN
fumecheng-6927	270	13	of	of	ADP
fumecheng-6927	270	14	eq	eq	PROPN
fumecheng-6927	270	15	.	.	PUNCT
fumecheng-6927	271	1	(	(	PUNCT
fumecheng-6927	271	2	9	9	NUM
fumecheng-6927	271	3	)	)	PUNCT
fumecheng-6927	271	4	to	to	PART
fumecheng-6927	271	5	finally	finally	ADV
fumecheng-6927	271	6	obtain	obtain	VERB
fumecheng-6927	271	7	the	the	DET
fumecheng-6927	271	8	resulting	result	VERB
fumecheng-6927	271	9	time	time	NOUN
fumecheng-6927	271	10	-	-	PUNCT
fumecheng-6927	271	11	dependent	dependent	ADJ
fumecheng-6927	271	12	surface	surface	NOUN
fumecheng-6927	271	13	recovery	recovery	NOUN
fumecheng-6927	271	14	profile	profile	NOUN
fumecheng-6927	271	15	.	.	PUNCT
fumecheng-6927	272	1	the	the	DET
fumecheng-6927	272	2	calculation	calculation	NOUN
fumecheng-6927	272	3	steps	step	NOUN
fumecheng-6927	272	4	are	be	AUX
fumecheng-6927	272	5	detailed	detail	VERB
fumecheng-6927	272	6	in	in	ADP
fumecheng-6927	272	7	section	section	NOUN
fumecheng-6927	272	8	2.5.3	2.5.3	NUM
fumecheng-6927	272	9	.	.	PUNCT
fumecheng-6927	273	1	the	the	DET
fumecheng-6927	273	2	algorithm	algorithm	NOUN
fumecheng-6927	273	3	has	have	AUX
fumecheng-6927	273	4	been	be	AUX
fumecheng-6927	273	5	implemented	implement	VERB
fumecheng-6927	273	6	in	in	ADP
fumecheng-6927	273	7	python	python	PROPN
fumecheng-6927	273	8	code	code	NOUN
fumecheng-6927	273	9	and	and	CCONJ
fumecheng-6927	273	10	is	be	AUX
fumecheng-6927	273	11	available	available	ADJ
fumecheng-6927	273	12	in	in	ADP
fumecheng-6927	273	13	an	an	DET
fumecheng-6927	273	14	open	open	ADJ
fumecheng-6927	273	15	-	-	PUNCT
fumecheng-6927	273	16	access	access	NOUN
fumecheng-6927	273	17	repository	repository	NOUN
fumecheng-6927	273	18	[	[	X
fumecheng-6927	273	19	40	40	NUM
fumecheng-6927	273	20	]	]	PUNCT
fumecheng-6927	273	21	under	under	ADP
fumecheng-6927	273	22	the	the	DET
fumecheng-6927	273	23	afmsim	afmsim	PROPN
fumecheng-6927	273	24	library	library	NOUN
fumecheng-6927	273	25	and	and	CCONJ
fumecheng-6927	273	26	the	the	DET
fumecheng-6927	273	27	contact_mode	contact_mode	PROPN
fumecheng-6927	273	28	function	function	NOUN
fumecheng-6927	273	29	.	.	PUNCT
fumecheng-6927	274	1	guidelines	guideline	NOUN
fumecheng-6927	274	2	to	to	PART
fumecheng-6927	274	3	simulate	simulate	VERB
fumecheng-6927	274	4	linear	linear	ADJ
fumecheng-6927	274	5	viscoelastic	viscoelastic	NOUN
fumecheng-6927	274	6	materials	material	NOUN
fumecheng-6927	274	7	with	with	ADP
fumecheng-6927	274	8	an	an	DET
fumecheng-6927	274	9	arbitrary	arbitrary	ADJ
fumecheng-6927	274	10	number	number	NOUN
fumecheng-6927	274	11	of	of	ADP
fumecheng-6927	274	12	characteristic	characteristic	ADJ
fumecheng-6927	274	13	times	time	NOUN
fumecheng-6927	274	14	...	...	PUNCT
fumecheng-6927	274	15	147	147	NUM
fumecheng-6927	274	16	3	3	NUM
fumecheng-6927	274	17	.	.	PUNCT
fumecheng-6927	274	18	case	case	NOUN
fumecheng-6927	274	19	study	study	NOUN
fumecheng-6927	274	20	of	of	ADP
fumecheng-6927	274	21	viscoelastic	viscoelastic	ADJ
fumecheng-6927	274	22	indentation	indentation	NOUN
fumecheng-6927	274	23	with	with	ADP
fumecheng-6927	274	24	an	an	DET
fumecheng-6927	274	25	atomic	atomic	ADJ
fumecheng-6927	274	26	force	force	NOUN
fumecheng-6927	274	27	microscope	microscope	NOUN
fumecheng-6927	274	28	in	in	ADP
fumecheng-6927	274	29	acquisition	acquisition	NOUN
fumecheng-6927	274	30	of	of	ADP
fumecheng-6927	274	31	force	force	NOUN
fumecheng-6927	274	32	distance	distance	NOUN
fumecheng-6927	274	33	curves	curve	NOUN
fumecheng-6927	274	34	3.1	3.1	NUM
fumecheng-6927	274	35	.	.	PUNCT
fumecheng-6927	275	1	viscoelastic	viscoelastic	ADJ
fumecheng-6927	275	2	implementation	implementation	NOUN
fumecheng-6927	275	3	in	in	ADP
fumecheng-6927	275	4	force	force	NOUN
fumecheng-6927	275	5	-	-	PUNCT
fumecheng-6927	275	6	distance	distance	NOUN
fumecheng-6927	275	7	curve	curve	NOUN
fumecheng-6927	275	8	methods	method	NOUN
fumecheng-6927	275	9	during	during	ADP
fumecheng-6927	275	10	an	an	DET
fumecheng-6927	275	11	off	off	ADJ
fumecheng-6927	275	12	-	-	PUNCT
fumecheng-6927	275	13	resonance	resonance	NOUN
fumecheng-6927	275	14	force	force	NOUN
fumecheng-6927	275	15	-	-	PUNCT
fumecheng-6927	275	16	distance	distance	NOUN
fumecheng-6927	275	17	curve	curve	NOUN
fumecheng-6927	275	18	acquisition	acquisition	NOUN
fumecheng-6927	275	19	,	,	PUNCT
fumecheng-6927	275	20	the	the	DET
fumecheng-6927	275	21	base	base	NOUN
fumecheng-6927	275	22	of	of	ADP
fumecheng-6927	275	23	the	the	DET
fumecheng-6927	275	24	afm	afm	PROPN
fumecheng-6927	275	25	cantilever	cantilever	NOUN
fumecheng-6927	275	26	is	be	AUX
fumecheng-6927	275	27	brought	bring	VERB
fumecheng-6927	275	28	towards	towards	ADP
fumecheng-6927	275	29	the	the	DET
fumecheng-6927	275	30	surface	surface	NOUN
fumecheng-6927	275	31	at	at	ADP
fumecheng-6927	275	32	a	a	DET
fumecheng-6927	275	33	constant	constant	ADJ
fumecheng-6927	275	34	velocity	velocity	NOUN
fumecheng-6927	275	35	.	.	PUNCT
fumecheng-6927	276	1	the	the	DET
fumecheng-6927	276	2	governing	govern	VERB
fumecheng-6927	276	3	equation	equation	NOUN
fumecheng-6927	276	4	that	that	PRON
fumecheng-6927	276	5	captures	capture	VERB
fumecheng-6927	276	6	the	the	DET
fumecheng-6927	276	7	dynamics	dynamic	NOUN
fumecheng-6927	276	8	of	of	ADP
fumecheng-6927	276	9	the	the	DET
fumecheng-6927	276	10	cantilever	cantilever	NOUN
fumecheng-6927	276	11	tip	tip	NOUN
fumecheng-6927	276	12	interacting	interact	VERB
fumecheng-6927	276	13	with	with	ADP
fumecheng-6927	276	14	the	the	DET
fumecheng-6927	276	15	surface	surface	NOUN
fumecheng-6927	276	16	via	via	ADP
fumecheng-6927	276	17	the	the	DET
fumecheng-6927	276	18	tip	tip	NOUN
fumecheng-6927	276	19	-	-	PUNCT
fumecheng-6927	276	20	sample	sample	NOUN
fumecheng-6927	276	21	forces	force	NOUN
fumecheng-6927	276	22	is	be	AUX
fumecheng-6927	276	23	[	[	X
fumecheng-6927	276	24	30	30	NUM
fumecheng-6927	276	25	]	]	SYM
fumecheng-6927	276	26	:	:	PUNCT
fumecheng-6927	276	27	𝑚	𝑚	X
fumecheng-6927	276	28	�	�	PROPN
fumecheng-6927	276	29	̈	̈	X
fumecheng-6927	276	30	�	�	NOUN
fumecheng-6927	276	31	(𝑡	(𝑡	NOUN
fumecheng-6927	276	32	)	)	PUNCT
fumecheng-6927	276	33	+	+	CCONJ
fumecheng-6927	276	34	𝑐	𝑐	PROPN
fumecheng-6927	276	35	�	�	PROPN
fumecheng-6927	276	36	̇	̇	PROPN
fumecheng-6927	276	37	�	�	PROPN
fumecheng-6927	276	38	(𝑡	(𝑡	PROPN
fumecheng-6927	276	39	)	)	PUNCT
fumecheng-6927	276	40	+	+	NUM
fumecheng-6927	276	41	𝑘𝑧(𝑡	𝑘𝑧(𝑡	NOUN
fumecheng-6927	276	42	)	)	PUNCT
fumecheng-6927	276	43	=	=	SYM
fumecheng-6927	276	44	𝑘𝑧𝑏(𝑡	𝑘𝑧𝑏(𝑡	PROPN
fumecheng-6927	276	45	)	)	PUNCT
fumecheng-6927	276	46	+	+	NUM
fumecheng-6927	276	47	𝐹𝑡𝑠(𝑡	𝐹𝑡𝑠(𝑡	NUM
fumecheng-6927	276	48	)	)	PUNCT
fumecheng-6927	276	49	(	(	PUNCT
fumecheng-6927	276	50	43	43	NUM
fumecheng-6927	276	51	)	)	PUNCT
fumecheng-6927	276	52	where	where	SCONJ
fumecheng-6927	276	53	t	t	PROPN
fumecheng-6927	276	54	is	be	AUX
fumecheng-6927	276	55	time	time	NOUN
fumecheng-6927	276	56	,	,	PUNCT
fumecheng-6927	276	57	k	k	PROPN
fumecheng-6927	276	58	is	be	AUX
fumecheng-6927	276	59	the	the	DET
fumecheng-6927	276	60	stiffness	stiffness	NOUN
fumecheng-6927	276	61	,	,	PUNCT
fumecheng-6927	277	1	c	c	NOUN
fumecheng-6927	277	2	=	=	SYM
fumecheng-6927	278	1	2𝜋𝑓𝑚	2𝜋𝑓𝑚	NUM
fumecheng-6927	278	2	𝑄1	𝑄1	NOUN
fumecheng-6927	278	3	is	be	AUX
fumecheng-6927	278	4	the	the	DET
fumecheng-6927	278	5	damping	damp	VERB
fumecheng-6927	278	6	coefficient	coefficient	NOUN
fumecheng-6927	278	7	,	,	PUNCT
fumecheng-6927	278	8	f	f	PROPN
fumecheng-6927	278	9	the	the	DET
fumecheng-6927	278	10	fundamental	fundamental	ADJ
fumecheng-6927	278	11	eigenfrequency	eigenfrequency	NOUN
fumecheng-6927	278	12	(	(	PUNCT
fumecheng-6927	278	13	natural	natural	ADJ
fumecheng-6927	278	14	frequency	frequency	NOUN
fumecheng-6927	278	15	)	)	PUNCT
fumecheng-6927	278	16	,	,	PUNCT
fumecheng-6927	278	17	m	m	VERB
fumecheng-6927	278	18	=	=	SYM
fumecheng-6927	278	19	𝑘	𝑘	X
fumecheng-6927	278	20	(	(	PUNCT
fumecheng-6927	278	21	2𝜋𝑓)2	2𝜋𝑓)2	NUM
fumecheng-6927	278	22	is	be	AUX
fumecheng-6927	278	23	the	the	DET
fumecheng-6927	278	24	equivalent	equivalent	ADJ
fumecheng-6927	278	25	mass	mass	NOUN
fumecheng-6927	278	26	,	,	PUNCT
fumecheng-6927	278	27	q1the	q1the	DET
fumecheng-6927	278	28	quality	quality	NOUN
fumecheng-6927	278	29	factor	factor	NOUN
fumecheng-6927	278	30	of	of	ADP
fumecheng-6927	278	31	the	the	DET
fumecheng-6927	278	32	fundamental	fundamental	ADJ
fumecheng-6927	278	33	eigenmode	eigenmode	NOUN
fumecheng-6927	278	34	,	,	PUNCT
fumecheng-6927	278	35	�	�	PROPN
fumecheng-6927	278	36	̈	̈	X
fumecheng-6927	278	37	�	�	NOUN
fumecheng-6927	278	38	(𝑡)is	(𝑡)is	PUNCT
fumecheng-6927	278	39	the	the	DET
fumecheng-6927	278	40	tip	tip	NOUN
fumecheng-6927	278	41	acceleration	acceleration	NOUN
fumecheng-6927	278	42	,	,	PUNCT
fumecheng-6927	278	43	�	�	PROPN
fumecheng-6927	278	44	̇	̇	PROPN
fumecheng-6927	278	45	�	�	PROPN
fumecheng-6927	278	46	(𝑡	(𝑡	PROPN
fumecheng-6927	278	47	)	)	PUNCT
fumecheng-6927	278	48	is	be	AUX
fumecheng-6927	278	49	the	the	DET
fumecheng-6927	278	50	tip	tip	NOUN
fumecheng-6927	278	51	velocity	velocity	NOUN
fumecheng-6927	278	52	,	,	PUNCT
fumecheng-6927	278	53	�	�	PROPN
fumecheng-6927	278	54	̇	̇	PROPN
fumecheng-6927	278	55	�	�	PROPN
fumecheng-6927	278	56	(𝑡	(𝑡	PROPN
fumecheng-6927	278	57	)	)	PUNCT
fumecheng-6927	278	58	is	be	AUX
fumecheng-6927	278	59	the	the	DET
fumecheng-6927	278	60	tip	tip	NOUN
fumecheng-6927	278	61	position	position	NOUN
fumecheng-6927	278	62	,	,	PUNCT
fumecheng-6927	278	63	zb(t	zb(t	NUM
fumecheng-6927	278	64	)	)	PUNCT
fumecheng-6927	279	1	is	be	AUX
fumecheng-6927	279	2	the	the	DET
fumecheng-6927	279	3	cantilever	cantilever	NOUN
fumecheng-6927	279	4	base	base	NOUN
fumecheng-6927	279	5	position	position	NOUN
fumecheng-6927	279	6	and	and	CCONJ
fumecheng-6927	279	7	fts(t	fts(t	PROPN
fumecheng-6927	279	8	)	)	PUNCT
fumecheng-6927	279	9	is	be	AUX
fumecheng-6927	279	10	the	the	DET
fumecheng-6927	279	11	tip	tip	NOUN
fumecheng-6927	279	12	-	-	PUNCT
fumecheng-6927	279	13	sample	sample	NOUN
fumecheng-6927	279	14	force	force	NOUN
fumecheng-6927	279	15	.	.	PUNCT
fumecheng-6927	280	1	as	as	SCONJ
fumecheng-6927	280	2	indicated	indicate	VERB
fumecheng-6927	280	3	,	,	PUNCT
fumecheng-6927	280	4	the	the	DET
fumecheng-6927	280	5	dynamical	dynamical	ADJ
fumecheng-6927	280	6	variables	variable	NOUN
fumecheng-6927	280	7	are	be	AUX
fumecheng-6927	280	8	time	time	NOUN
fumecheng-6927	280	9	-	-	PUNCT
fumecheng-6927	280	10	dependent	dependent	ADJ
fumecheng-6927	280	11	.	.	PUNCT
fumecheng-6927	281	1	the	the	DET
fumecheng-6927	281	2	initial	initial	ADJ
fumecheng-6927	281	3	position	position	NOUN
fumecheng-6927	281	4	of	of	ADP
fumecheng-6927	281	5	the	the	DET
fumecheng-6927	281	6	cantilever	cantilever	NOUN
fumecheng-6927	281	7	base	base	NOUN
fumecheng-6927	281	8	,	,	PUNCT
fumecheng-6927	281	9	zb	zb	NOUN
fumecheng-6927	281	10	,	,	PUNCT
fumecheng-6927	281	11	initial	initial	ADJ
fumecheng-6927	281	12	serves	serve	VERB
fumecheng-6927	281	13	as	as	ADP
fumecheng-6927	281	14	the	the	DET
fumecheng-6927	281	15	starting	starting	NOUN
fumecheng-6927	281	16	point	point	NOUN
fumecheng-6927	281	17	for	for	ADP
fumecheng-6927	281	18	the	the	DET
fumecheng-6927	281	19	approach	approach	NOUN
fumecheng-6927	281	20	process	process	NOUN
fumecheng-6927	281	21	towards	towards	ADP
fumecheng-6927	281	22	the	the	DET
fumecheng-6927	281	23	sample	sample	NOUN
fumecheng-6927	281	24	surface	surface	NOUN
fumecheng-6927	281	25	.	.	PUNCT
fumecheng-6927	282	1	during	during	ADP
fumecheng-6927	282	2	this	this	DET
fumecheng-6927	282	3	experiment	experiment	NOUN
fumecheng-6927	282	4	,	,	PUNCT
fumecheng-6927	282	5	the	the	DET
fumecheng-6927	282	6	user	user	NOUN
fumecheng-6927	282	7	specifies	specify	VERB
fumecheng-6927	282	8	the	the	DET
fumecheng-6927	282	9	cantilever	cantilever	NOUN
fumecheng-6927	282	10	-	-	PUNCT
fumecheng-6927	282	11	base	base	NOUN
fumecheng-6927	282	12	approach	approach	NOUN
fumecheng-6927	282	13	velocity	velocity	NOUN
fumecheng-6927	282	14	,	,	PUNCT
fumecheng-6927	282	15	�	�	PROPN
fumecheng-6927	282	16	̇	̇	PROPN
fumecheng-6927	282	17	�	�	PROPN
fumecheng-6927	282	18	𝑏.	𝑏.	NOUN
fumecheng-6927	282	19	𝑧𝑏(𝑡	𝑧𝑏(𝑡	NOUN
fumecheng-6927	282	20	)	)	PUNCT
fumecheng-6927	282	21	=	=	SYM
fumecheng-6927	282	22	�	�	PROPN
fumecheng-6927	282	23	̇	̇	PROPN
fumecheng-6927	282	24	�	�	PROPN
fumecheng-6927	282	25	𝑏𝑡	𝑏𝑡	PROPN
fumecheng-6927	282	26	(	(	PUNCT
fumecheng-6927	282	27	44	44	NUM
fumecheng-6927	282	28	)	)	PUNCT
fumecheng-6927	282	29	numerically	numerically	ADV
fumecheng-6927	282	30	,	,	PUNCT
fumecheng-6927	282	31	the	the	DET
fumecheng-6927	282	32	new	new	ADJ
fumecheng-6927	282	33	base	base	NOUN
fumecheng-6927	282	34	position	position	NOUN
fumecheng-6927	282	35	,	,	PUNCT
fumecheng-6927	282	36	zb	zb	NOUN
fumecheng-6927	282	37	,	,	PUNCT
fumecheng-6927	282	38	for	for	ADP
fumecheng-6927	282	39	each	each	DET
fumecheng-6927	282	40	time	time	NOUN
fumecheng-6927	282	41	step	step	NOUN
fumecheng-6927	282	42	,	,	PUNCT
fumecheng-6927	282	43	i	i	PRON
fumecheng-6927	282	44	,	,	PUNCT
fumecheng-6927	282	45	is	be	AUX
fumecheng-6927	282	46	obtained	obtain	VERB
fumecheng-6927	282	47	by	by	ADP
fumecheng-6927	282	48	multiplying	multiply	VERB
fumecheng-6927	282	49	the	the	DET
fumecheng-6927	282	50	approach	approach	NOUN
fumecheng-6927	282	51	velocity	velocity	NOUN
fumecheng-6927	282	52	by	by	ADP
fumecheng-6927	282	53	the	the	DET
fumecheng-6927	282	54	total	total	ADJ
fumecheng-6927	282	55	simulation	simulation	NOUN
fumecheng-6927	282	56	time	time	NOUN
fumecheng-6927	282	57	,	,	PUNCT
fumecheng-6927	282	58	and	and	CCONJ
fumecheng-6927	282	59	adding	add	VERB
fumecheng-6927	282	60	the	the	DET
fumecheng-6927	282	61	result	result	NOUN
fumecheng-6927	282	62	to	to	ADP
fumecheng-6927	282	63	the	the	DET
fumecheng-6927	282	64	initial	initial	ADJ
fumecheng-6927	282	65	cantilever	cantilever	NOUN
fumecheng-6927	282	66	base	base	NOUN
fumecheng-6927	282	67	position	position	NOUN
fumecheng-6927	282	68	(	(	PUNCT
fumecheng-6927	282	69	the	the	DET
fumecheng-6927	282	70	total	total	ADJ
fumecheng-6927	282	71	simulation	simulation	NOUN
fumecheng-6927	282	72	time	time	NOUN
fumecheng-6927	282	73	is	be	AUX
fumecheng-6927	282	74	simply	simply	ADV
fumecheng-6927	282	75	the	the	DET
fumecheng-6927	282	76	index	index	NOUN
fumecheng-6927	282	77	i	i	PRON
fumecheng-6927	282	78	multiplied	multiply	VERB
fumecheng-6927	282	79	by	by	ADP
fumecheng-6927	282	80	the	the	DET
fumecheng-6927	282	81	time	time	NOUN
fumecheng-6927	282	82	step	step	NOUN
fumecheng-6927	282	83	dt	dt	NOUN
fumecheng-6927	282	84	):	):	PUNCT
fumecheng-6927	282	85	𝑧𝑏,𝑖	𝑧𝑏,𝑖	NOUN
fumecheng-6927	283	1	=	=	SYM
fumecheng-6927	283	2	𝑧𝑏,𝑖𝑛𝑖𝑡𝑖𝑎𝑙	𝑧𝑏,𝑖𝑛𝑖𝑡𝑖𝑎𝑙	PRON
fumecheng-6927	283	3	+	+	SYM
fumecheng-6927	283	4	�	�	PROPN
fumecheng-6927	283	5	̇	̇	PROPN
fumecheng-6927	283	6	�	�	PROPN
fumecheng-6927	283	7	𝑏,𝑖(𝑑𝑡	𝑏,𝑖(𝑑𝑡	PROPN
fumecheng-6927	283	8	)	)	PUNCT
fumecheng-6927	283	9	(	(	PUNCT
fumecheng-6927	283	10	45	45	NUM
fumecheng-6927	283	11	)	)	PUNCT
fumecheng-6927	283	12	we	we	PRON
fumecheng-6927	283	13	now	now	ADV
fumecheng-6927	283	14	calculate	calculate	VERB
fumecheng-6927	283	15	the	the	DET
fumecheng-6927	283	16	tip	tip	NOUN
fumecheng-6927	283	17	acceleration	acceleration	NOUN
fumecheng-6927	283	18	,	,	PUNCT
fumecheng-6927	283	19	�	�	PROPN
fumecheng-6927	283	20	̈	̈	X
fumecheng-6927	283	21	�	�	NOUN
fumecheng-6927	283	22	(𝑡	(𝑡	NOUN
fumecheng-6927	283	23	)	)	PUNCT
fumecheng-6927	283	24	,	,	PUNCT
fumecheng-6927	283	25	by	by	ADP
fumecheng-6927	283	26	solving	solve	VERB
fumecheng-6927	283	27	the	the	DET
fumecheng-6927	283	28	equation	equation	NOUN
fumecheng-6927	283	29	of	of	ADP
fumecheng-6927	283	30	motion	motion	NOUN
fumecheng-6927	283	31	(	(	PUNCT
fumecheng-6927	283	32	eom	eom	NOUN
fumecheng-6927	283	33	)	)	PUNCT
fumecheng-6927	283	34	of	of	ADP
fumecheng-6927	283	35	the	the	DET
fumecheng-6927	283	36	cantilever	cantilever	NOUN
fumecheng-6927	283	37	tip	tip	NOUN
fumecheng-6927	283	38	(	(	PUNCT
fumecheng-6927	283	39	eq	eq	NOUN
fumecheng-6927	283	40	.	.	PUNCT
fumecheng-6927	284	1	(	(	PUNCT
fumecheng-6927	284	2	46	46	NUM
fumecheng-6927	284	3	)	)	PUNCT
fumecheng-6927	284	4	)	)	PUNCT
fumecheng-6927	284	5	in	in	ADP
fumecheng-6927	284	6	introducing	introduce	VERB
fumecheng-6927	284	7	a	a	DET
fumecheng-6927	284	8	subindex	subindex	NOUN
fumecheng-6927	284	9	corresponding	correspond	VERB
fumecheng-6927	284	10	to	to	ADP
fumecheng-6927	284	11	the	the	DET
fumecheng-6927	284	12	time	time	NOUN
fumecheng-6927	284	13	step	step	NOUN
fumecheng-6927	284	14	:	:	PUNCT
fumecheng-6927	284	15	�	�	NOUN
fumecheng-6927	284	16	̈	̈	X
fumecheng-6927	284	17	�	�	NOUN
fumecheng-6927	284	18	𝑖	𝑖	SYM
fumecheng-6927	284	19	=	=	NOUN
fumecheng-6927	284	20	−𝑘𝑧𝑖−1	−𝑘𝑧𝑖−1	NOUN
fumecheng-6927	284	21	−	−	PROPN
fumecheng-6927	284	22	2𝜋𝑓𝑚	2𝜋𝑓𝑚	NUM
fumecheng-6927	284	23	�	�	PROPN
fumecheng-6927	284	24	̇	̇	PROPN
fumecheng-6927	284	25	�	�	PROPN
fumecheng-6927	284	26	𝑖−1	𝑖−1	PROPN
fumecheng-6927	284	27	𝑄1	𝑄1	NOUN
fumecheng-6927	284	28	+	+	CCONJ
fumecheng-6927	284	29	𝑘𝑧𝑏,𝑖+𝐹𝑡𝑠,𝑖−1	𝑘𝑧𝑏,𝑖+𝐹𝑡𝑠,𝑖−1	NOUN
fumecheng-6927	284	30	𝑚	𝑚	X
fumecheng-6927	284	31	(	(	PUNCT
fumecheng-6927	284	32	46	46	NUM
fumecheng-6927	284	33	)	)	PUNCT
fumecheng-6927	284	34	at	at	ADP
fumecheng-6927	284	35	time	time	NOUN
fumecheng-6927	284	36	zero	zero	NUM
fumecheng-6927	284	37	,	,	PUNCT
fumecheng-6927	284	38	fts	fts	X
fumecheng-6927	284	39	=	=	SYM
fumecheng-6927	284	40	0	0	NUM
fumecheng-6927	284	41	,	,	PUNCT
fumecheng-6927	284	42	as	as	SCONJ
fumecheng-6927	284	43	there	there	PRON
fumecheng-6927	284	44	is	be	VERB
fumecheng-6927	284	45	no	no	DET
fumecheng-6927	284	46	tip	tip	NOUN
fumecheng-6927	284	47	-	-	PUNCT
fumecheng-6927	284	48	sample	sample	NOUN
fumecheng-6927	284	49	contact	contact	NOUN
fumecheng-6927	284	50	yet	yet	ADV
fumecheng-6927	284	51	(	(	PUNCT
fumecheng-6927	284	52	the	the	DET
fumecheng-6927	284	53	experiment	experiment	NOUN
fumecheng-6927	284	54	begins	begin	VERB
fumecheng-6927	284	55	with	with	ADP
fumecheng-6927	284	56	the	the	DET
fumecheng-6927	284	57	cantilever	cantilever	NOUN
fumecheng-6927	284	58	placed	place	VERB
fumecheng-6927	284	59	far	far	ADV
fumecheng-6927	284	60	away	away	ADV
fumecheng-6927	284	61	from	from	ADP
fumecheng-6927	284	62	the	the	DET
fumecheng-6927	284	63	sample	sample	NOUN
fumecheng-6927	284	64	)	)	PUNCT
fumecheng-6927	284	65	.	.	PUNCT
fumecheng-6927	285	1	z	z	NOUN
fumecheng-6927	285	2	and	and	CCONJ
fumecheng-6927	285	3	�	�	PROPN
fumecheng-6927	285	4	̇	̇	PROPN
fumecheng-6927	285	5	�	�	PROPN
fumecheng-6927	285	6	are	be	AUX
fumecheng-6927	285	7	given	give	VERB
fumecheng-6927	285	8	initial	initial	ADJ
fumecheng-6927	285	9	values	value	NOUN
fumecheng-6927	285	10	by	by	ADP
fumecheng-6927	285	11	the	the	DET
fumecheng-6927	285	12	user	user	NOUN
fumecheng-6927	285	13	,	,	PUNCT
fumecheng-6927	285	14	z0	z0	PROPN
fumecheng-6927	285	15	=	=	SYM
fumecheng-6927	285	16	zb	zb	PROPN
fumecheng-6927	285	17	,	,	PUNCT
fumecheng-6927	285	18	initial	initial	ADJ
fumecheng-6927	285	19	and	and	CCONJ
fumecheng-6927	285	20	�	�	PROPN
fumecheng-6927	285	21	̇	̇	NOUN
fumecheng-6927	285	22	�	�	PROPN
fumecheng-6927	285	23	𝑖	𝑖	NOUN
fumecheng-6927	285	24	=	=	NOUN
fumecheng-6927	285	25	0	0	NUM
fumecheng-6927	285	26	,	,	PUNCT
fumecheng-6927	285	27	since	since	SCONJ
fumecheng-6927	285	28	we	we	PRON
fumecheng-6927	285	29	assume	assume	VERB
fumecheng-6927	285	30	that	that	SCONJ
fumecheng-6927	285	31	the	the	DET
fumecheng-6927	285	32	cantilever	cantilever	NOUN
fumecheng-6927	285	33	was	be	AUX
fumecheng-6927	285	34	initially	initially	ADV
fumecheng-6927	285	35	at	at	ADP
fumecheng-6927	285	36	rest	rest	NOUN
fumecheng-6927	285	37	and	and	CCONJ
fumecheng-6927	285	38	in	in	ADP
fumecheng-6927	285	39	equilibrium	equilibrium	NOUN
fumecheng-6927	285	40	.	.	PUNCT
fumecheng-6927	286	1	using	use	VERB
fumecheng-6927	286	2	the	the	DET
fumecheng-6927	286	3	tip	tip	NOUN
fumecheng-6927	286	4	acceleration	acceleration	NOUN
fumecheng-6927	286	5	we	we	PRON
fumecheng-6927	286	6	calculate	calculate	VERB
fumecheng-6927	286	7	the	the	DET
fumecheng-6927	286	8	tip	tip	NOUN
fumecheng-6927	286	9	position	position	NOUN
fumecheng-6927	286	10	z	z	PROPN
fumecheng-6927	286	11	(	(	PUNCT
fumecheng-6927	286	12	eq	eq	NOUN
fumecheng-6927	286	13	.	.	PUNCT
fumecheng-6927	287	1	(	(	PUNCT
fumecheng-6927	287	2	47	47	NUM
fumecheng-6927	287	3	)	)	PUNCT
fumecheng-6927	287	4	)	)	PUNCT
fumecheng-6927	288	1	and	and	CCONJ
fumecheng-6927	288	2	velocity	velocity	NOUN
fumecheng-6927	288	3	�	�	PROPN
fumecheng-6927	288	4	̇	̇	PROPN
fumecheng-6927	288	5	�	�	PROPN
fumecheng-6927	288	6	(	(	PUNCT
fumecheng-6927	288	7	eq	eq	NOUN
fumecheng-6927	288	8	.	.	PUNCT
fumecheng-6927	288	9	(	(	PUNCT
fumecheng-6927	288	10	48	48	NUM
fumecheng-6927	288	11	)	)	PUNCT
fumecheng-6927	288	12	)	)	PUNCT
fumecheng-6927	289	1	using	use	VERB
fumecheng-6927	289	2	the	the	DET
fumecheng-6927	289	3	verlet	verlet	NOUN
fumecheng-6927	289	4	integration	integration	NOUN
fumecheng-6927	289	5	process	process	NOUN
fumecheng-6927	289	6	(	(	PUNCT
fumecheng-6927	289	7	a	a	DET
fumecheng-6927	289	8	numerical	numerical	ADJ
fumecheng-6927	289	9	method	method	NOUN
fumecheng-6927	289	10	used	use	VERB
fumecheng-6927	289	11	to	to	PART
fumecheng-6927	289	12	integrate	integrate	VERB
fumecheng-6927	289	13	newton	newton	PROPN
fumecheng-6927	289	14	’s	’s	PART
fumecheng-6927	289	15	equations	equation	NOUN
fumecheng-6927	289	16	of	of	ADP
fumecheng-6927	289	17	motion	motion	NOUN
fumecheng-6927	289	18	)	)	PUNCT
fumecheng-6927	289	19	and	and	CCONJ
fumecheng-6927	289	20	the	the	DET
fumecheng-6927	289	21	central	central	ADJ
fumecheng-6927	289	22	difference	difference	NOUN
fumecheng-6927	289	23	,	,	PUNCT
fumecheng-6927	289	24	respectively	respectively	ADV
fumecheng-6927	289	25	[	[	X
fumecheng-6927	289	26	42	42	NUM
fumecheng-6927	289	27	,	,	PUNCT
fumecheng-6927	289	28	51	51	NUM
fumecheng-6927	289	29	,	,	PUNCT
fumecheng-6927	289	30	52	52	NUM
fumecheng-6927	289	31	]	]	PUNCT
fumecheng-6927	289	32	.	.	PUNCT
fumecheng-6927	290	1	𝑧𝑖+1	𝑧𝑖+1	PROPN
fumecheng-6927	290	2	=	=	PUNCT
fumecheng-6927	290	3	2𝑧𝑖	2𝑧𝑖	NOUN
fumecheng-6927	290	4	−	−	PROPN
fumecheng-6927	291	1	𝑧𝑖−1	𝑧𝑖−1	PROPN
fumecheng-6927	291	2	+	+	CCONJ
fumecheng-6927	291	3	�	�	PROPN
fumecheng-6927	291	4	̈	̈	SYM
fumecheng-6927	291	5	�	�	NOUN
fumecheng-6927	291	6	𝑖δ𝑡2	𝑖δ𝑡2	PROPN
fumecheng-6927	291	7	(	(	PUNCT
fumecheng-6927	291	8	47	47	NUM
fumecheng-6927	291	9	)	)	PUNCT
fumecheng-6927	291	10	�	�	PROPN
fumecheng-6927	291	11	̇	̇	NOUN
fumecheng-6927	291	12	�	�	PROPN
fumecheng-6927	291	13	𝑖	𝑖	SYM
fumecheng-6927	291	14	=	=	PROPN
fumecheng-6927	291	15	𝑧𝑖+1−	𝑧𝑖+1−	PROPN
fumecheng-6927	291	16	𝑧𝑖−1	𝑧𝑖−1	PROPN
fumecheng-6927	291	17	2δ𝑡	2δ𝑡	PROPN
fumecheng-6927	291	18	(	(	PUNCT
fumecheng-6927	291	19	48	48	NUM
fumecheng-6927	291	20	)	)	PUNCT
fumecheng-6927	291	21	note	note	VERB
fumecheng-6927	291	22	that	that	SCONJ
fumecheng-6927	291	23	in	in	ADP
fumecheng-6927	291	24	order	order	NOUN
fumecheng-6927	291	25	to	to	PART
fumecheng-6927	291	26	calculate	calculate	VERB
fumecheng-6927	291	27	the	the	DET
fumecheng-6927	291	28	position	position	NOUN
fumecheng-6927	291	29	for	for	ADP
fumecheng-6927	291	30	time	time	NOUN
fumecheng-6927	291	31	step	step	NOUN
fumecheng-6927	291	32	(	(	PUNCT
fumecheng-6927	291	33	i	i	NOUN
fumecheng-6927	291	34	+	+	NOUN
fumecheng-6927	291	35	1	1	X
fumecheng-6927	291	36	)	)	PUNCT
fumecheng-6927	291	37	with	with	ADP
fumecheng-6927	291	38	eq	eq	NOUN
fumecheng-6927	291	39	.	.	PUNCT
fumecheng-6927	292	1	(	(	PUNCT
fumecheng-6927	292	2	47	47	NUM
fumecheng-6927	292	3	)	)	PUNCT
fumecheng-6927	292	4	and	and	CCONJ
fumecheng-6927	292	5	the	the	DET
fumecheng-6927	292	6	velocity	velocity	NOUN
fumecheng-6927	292	7	for	for	ADP
fumecheng-6927	292	8	time	time	NOUN
fumecheng-6927	292	9	step	step	NOUN
fumecheng-6927	292	10	i	i	PRON
fumecheng-6927	292	11	with	with	ADP
fumecheng-6927	292	12	eq	eq	NOUN
fumecheng-6927	292	13	.	.	PUNCT
fumecheng-6927	293	1	(	(	PUNCT
fumecheng-6927	293	2	48	48	NUM
fumecheng-6927	293	3	)	)	PUNCT
fumecheng-6927	293	4	,	,	PUNCT
fumecheng-6927	293	5	it	it	PRON
fumecheng-6927	293	6	is	be	AUX
fumecheng-6927	293	7	necessary	necessary	ADJ
fumecheng-6927	293	8	to	to	PART
fumecheng-6927	293	9	know	know	VERB
fumecheng-6927	293	10	the	the	DET
fumecheng-6927	293	11	position	position	NOUN
fumecheng-6927	293	12	at	at	ADP
fumecheng-6927	293	13	the	the	DET
fumecheng-6927	293	14	previous	previous	ADJ
fumecheng-6927	293	15	two	two	NUM
fumecheng-6927	293	16	time	time	NOUN
fumecheng-6927	293	17	steps	step	NOUN
fumecheng-6927	293	18	i	i	PRON
fumecheng-6927	293	19	and	and	CCONJ
fumecheng-6927	293	20	(	(	PUNCT
fumecheng-6927	293	21	i	i	NOUN
fumecheng-6927	293	22	1	1	NUM
fumecheng-6927	293	23	)	)	PUNCT
fumecheng-6927	293	24	.	.	PUNCT
fumecheng-6927	294	1	therefore	therefore	ADV
fumecheng-6927	294	2	,	,	PUNCT
fumecheng-6927	294	3	at	at	ADP
fumecheng-6927	294	4	the	the	DET
fumecheng-6927	294	5	beginning	beginning	NOUN
fumecheng-6927	294	6	of	of	ADP
fumecheng-6927	294	7	the	the	DET
fumecheng-6927	294	8	simulation	simulation	NOUN
fumecheng-6927	294	9	,	,	PUNCT
fumecheng-6927	294	10	it	it	PRON
fumecheng-6927	294	11	is	be	AUX
fumecheng-6927	294	12	necessary	necessary	ADJ
fumecheng-6927	294	13	to	to	PART
fumecheng-6927	294	14	define	define	VERB
fumecheng-6927	294	15	one	one	NUM
fumecheng-6927	294	16	additional	additional	ADJ
fumecheng-6927	294	17	initial	initial	ADJ
fumecheng-6927	294	18	condition	condition	NOUN
fumecheng-6927	294	19	of	of	ADP
fumecheng-6927	294	20	position	position	NOUN
fumecheng-6927	294	21	for	for	ADP
fumecheng-6927	294	22	time	time	NOUN
fumecheng-6927	294	23	step	step	NOUN
fumecheng-6927	294	24	i	i	PRON
fumecheng-6927	294	25	=	=	PUNCT
fumecheng-6927	295	1	-1	-1	PROPN
fumecheng-6927	295	2	.	.	PUNCT
fumecheng-6927	296	1	one	one	NUM
fumecheng-6927	296	2	generally	generally	ADV
fumecheng-6927	296	3	148	148	NUM
fumecheng-6927	296	4	m.	m.	NOUN
fumecheng-6927	296	5	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	296	6	,	,	PUNCT
fumecheng-6927	296	7	e.	e.	PROPN
fumecheng-6927	296	8	a.	a.	PROPN
fumecheng-6927	296	9	lópez	lópez	PROPN
fumecheng-6927	296	10	-	-	PUNCT
fumecheng-6927	296	11	guerra	guerra	PROPN
fumecheng-6927	296	12	,	,	PUNCT
fumecheng-6927	296	13	s.	s.	PROPN
fumecheng-6927	296	14	d.	d.	PROPN
fumecheng-6927	296	15	solares	solares	PROPN
fumecheng-6927	296	16	sets	set	VERB
fumecheng-6927	296	17	this	this	DET
fumecheng-6927	296	18	initial	initial	ADJ
fumecheng-6927	296	19	condition	condition	NOUN
fumecheng-6927	296	20	to	to	PART
fumecheng-6927	296	21	be	be	AUX
fumecheng-6927	296	22	equal	equal	ADJ
fumecheng-6927	296	23	to	to	ADP
fumecheng-6927	296	24	the	the	DET
fumecheng-6927	296	25	initial	initial	ADJ
fumecheng-6927	296	26	cantilever	cantilever	NOUN
fumecheng-6927	296	27	base	base	NOUN
fumecheng-6927	296	28	position	position	NOUN
fumecheng-6927	296	29	,	,	PUNCT
fumecheng-6927	296	30	namely	namely	ADV
fumecheng-6927	296	31	zi=-1	zi=-1	NOUN
fumecheng-6927	296	32	=	=	SYM
fumecheng-6927	296	33	zb	zb	PROPN
fumecheng-6927	296	34	,	,	PUNCT
fumecheng-6927	296	35	initial	initial	NOUN
fumecheng-6927	296	36	.	.	PUNCT
fumecheng-6927	297	1	in	in	ADP
fumecheng-6927	297	2	our	our	PRON
fumecheng-6927	297	3	code	code	NOUN
fumecheng-6927	297	4	we	we	PRON
fumecheng-6927	297	5	rename	rename	VERB
fumecheng-6927	297	6	the	the	DET
fumecheng-6927	297	7	tip	tip	NOUN
fumecheng-6927	297	8	position	position	NOUN
fumecheng-6927	297	9	as	as	ADP
fumecheng-6927	297	10	tippos	tippos	NOUN
fumecheng-6927	297	11	,	,	PUNCT
fumecheng-6927	297	12	which	which	PRON
fumecheng-6927	297	13	is	be	AUX
fumecheng-6927	297	14	given	give	VERB
fumecheng-6927	297	15	the	the	DET
fumecheng-6927	297	16	value	value	NOUN
fumecheng-6927	297	17	zi+1	zi+1	NOUN
fumecheng-6927	297	18	.	.	PUNCT
fumecheng-6927	298	1	if	if	SCONJ
fumecheng-6927	298	2	tipposis	tipposis	NOUN
fumecheng-6927	298	3	greater	great	ADJ
fumecheng-6927	298	4	than	than	ADP
fumecheng-6927	298	5	the	the	DET
fumecheng-6927	298	6	current	current	ADJ
fumecheng-6927	298	7	surface	surface	NOUN
fumecheng-6927	298	8	position	position	NOUN
fumecheng-6927	298	9	,	,	PUNCT
fumecheng-6927	298	10	there	there	PRON
fumecheng-6927	298	11	is	be	VERB
fumecheng-6927	298	12	no	no	DET
fumecheng-6927	298	13	tip	tip	NOUN
fumecheng-6927	298	14	-	-	PUNCT
fumecheng-6927	298	15	sample	sample	NOUN
fumecheng-6927	298	16	contact	contact	NOUN
fumecheng-6927	298	17	.	.	PUNCT
fumecheng-6927	299	1	as	as	SCONJ
fumecheng-6927	299	2	the	the	DET
fumecheng-6927	299	3	cantilever	cantilever	NOUN
fumecheng-6927	299	4	approaches	approach	VERB
fumecheng-6927	299	5	the	the	DET
fumecheng-6927	299	6	sample	sample	NOUN
fumecheng-6927	299	7	,	,	PUNCT
fumecheng-6927	299	8	this	this	DET
fumecheng-6927	299	9	variable	variable	NOUN
fumecheng-6927	299	10	will	will	AUX
fumecheng-6927	299	11	become	become	VERB
fumecheng-6927	299	12	negative	negative	ADJ
fumecheng-6927	299	13	,	,	PUNCT
fumecheng-6927	299	14	indicating	indicate	VERB
fumecheng-6927	299	15	that	that	SCONJ
fumecheng-6927	299	16	tipsample	tipsample	ADJ
fumecheng-6927	299	17	contact	contact	NOUN
fumecheng-6927	299	18	has	have	AUX
fumecheng-6927	299	19	been	be	AUX
fumecheng-6927	299	20	established	establish	VERB
fumecheng-6927	299	21	and	and	CCONJ
fumecheng-6927	299	22	that	that	SCONJ
fumecheng-6927	299	23	viscoelastic	viscoelastic	ADJ
fumecheng-6927	299	24	forces	force	NOUN
fumecheng-6927	299	25	can	can	AUX
fumecheng-6927	299	26	now	now	ADV
fumecheng-6927	299	27	be	be	AUX
fumecheng-6927	299	28	calculated	calculate	VERB
fumecheng-6927	299	29	using	use	VERB
fumecheng-6927	299	30	eq	eq	ADP
fumecheng-6927	299	31	.	.	PUNCT
fumecheng-6927	300	1	(	(	PUNCT
fumecheng-6927	300	2	9	9	NUM
fumecheng-6927	300	3	)	)	PUNCT
fumecheng-6927	300	4	as	as	SCONJ
fumecheng-6927	300	5	explained	explain	VERB
fumecheng-6927	300	6	in	in	ADP
fumecheng-6927	300	7	section	section	NOUN
fumecheng-6927	300	8	2.5	2.5	NUM
fumecheng-6927	300	9	.	.	PUNCT
fumecheng-6927	301	1	fig	fig	NOUN
fumecheng-6927	301	2	.	.	PUNCT
fumecheng-6927	302	1	5	5	NUM
fumecheng-6927	302	2	provides	provide	VERB
fumecheng-6927	302	3	examples	example	NOUN
fumecheng-6927	302	4	of	of	ADP
fumecheng-6927	302	5	tip	tip	NOUN
fumecheng-6927	302	6	-	-	PUNCT
fumecheng-6927	302	7	sample	sample	NOUN
fumecheng-6927	302	8	interaction	interaction	NOUN
fumecheng-6927	302	9	force	force	NOUN
fumecheng-6927	302	10	curves	curve	NOUN
fumecheng-6927	302	11	calculated	calculate	VERB
fumecheng-6927	302	12	using	use	VERB
fumecheng-6927	302	13	the	the	DET
fumecheng-6927	302	14	above	above	ADJ
fumecheng-6927	302	15	procedures	procedure	NOUN
fumecheng-6927	302	16	for	for	ADP
fumecheng-6927	302	17	different	different	ADJ
fumecheng-6927	302	18	sets	set	NOUN
fumecheng-6927	302	19	of	of	ADP
fumecheng-6927	302	20	parameters	parameter	NOUN
fumecheng-6927	302	21	,	,	PUNCT
fumecheng-6927	302	22	using	use	VERB
fumecheng-6927	302	23	a	a	DET
fumecheng-6927	302	24	3	3	NUM
fumecheng-6927	302	25	-	-	PUNCT
fumecheng-6927	302	26	arm	arm	NOUN
fumecheng-6927	302	27	generalized	generalize	VERB
fumecheng-6927	302	28	kelvinvoigt	kelvinvoigt	PROPN
fumecheng-6927	302	29	model	model	PROPN
fumecheng-6927	302	30	.	.	PUNCT
fumecheng-6927	303	1	note	note	NOUN
fumecheng-6927	303	2	here	here	ADV
fumecheng-6927	303	3	that	that	SCONJ
fumecheng-6927	303	4	the	the	DET
fumecheng-6927	303	5	spring	spring	NOUN
fumecheng-6927	303	6	parameters	parameter	NOUN
fumecheng-6927	303	7	for	for	ADP
fumecheng-6927	303	8	this	this	DET
fumecheng-6927	303	9	model	model	NOUN
fumecheng-6927	303	10	are	be	AUX
fumecheng-6927	303	11	given	give	VERB
fumecheng-6927	303	12	in	in	ADP
fumecheng-6927	303	13	terms	term	NOUN
fumecheng-6927	303	14	of	of	ADP
fumecheng-6927	303	15	compliances	compliance	NOUN
fumecheng-6927	303	16	(	(	PUNCT
fumecheng-6927	303	17	j	j	NOUN
fumecheng-6927	303	18	)	)	PUNCT
fumecheng-6927	303	19	instead	instead	ADV
fumecheng-6927	303	20	of	of	ADP
fumecheng-6927	303	21	moduli	modulus	NOUN
fumecheng-6927	303	22	(	(	PUNCT
fumecheng-6927	303	23	g	g	NOUN
fumecheng-6927	303	24	)	)	PUNCT
fumecheng-6927	303	25	.	.	PUNCT
fumecheng-6927	304	1	as	as	SCONJ
fumecheng-6927	304	2	explained	explain	VERB
fumecheng-6927	304	3	in	in	ADP
fumecheng-6927	304	4	section	section	NOUN
fumecheng-6927	304	5	2.1	2.1	NUM
fumecheng-6927	304	6	,	,	PUNCT
fumecheng-6927	304	7	retardances	retardance	NOUN
fumecheng-6927	304	8	and	and	CCONJ
fumecheng-6927	304	9	relaxances	relaxance	NOUN
fumecheng-6927	304	10	hold	hold	VERB
fumecheng-6927	304	11	an	an	DET
fumecheng-6927	304	12	inverse	inverse	NOUN
fumecheng-6927	304	13	relationship	relationship	NOUN
fumecheng-6927	304	14	(	(	PUNCT
fumecheng-6927	304	15	eq	eq	NOUN
fumecheng-6927	304	16	.	.	PUNCT
fumecheng-6927	305	1	(	(	PUNCT
fumecheng-6927	305	2	5	5	NUM
fumecheng-6927	305	3	)	)	PUNCT
fumecheng-6927	305	4	)	)	PUNCT
fumecheng-6927	305	5	.	.	PUNCT
fumecheng-6927	306	1	specifically	specifically	ADV
fumecheng-6927	306	2	,	,	PUNCT
fumecheng-6927	306	3	the	the	DET
fumecheng-6927	306	4	relaxance	relaxance	NOUN
fumecheng-6927	306	5	of	of	ADP
fumecheng-6927	306	6	a	a	DET
fumecheng-6927	306	7	spring	spring	NOUN
fumecheng-6927	306	8	is	be	AUX
fumecheng-6927	306	9	its	its	PRON
fumecheng-6927	306	10	modulus	modulus	NOUN
fumecheng-6927	306	11	(	(	PUNCT
fumecheng-6927	306	12	a	a	DET
fumecheng-6927	306	13	measure	measure	NOUN
fumecheng-6927	306	14	of	of	ADP
fumecheng-6927	306	15	its	its	PRON
fumecheng-6927	306	16	stiffness	stiffness	NOUN
fumecheng-6927	306	17	)	)	PUNCT
fumecheng-6927	306	18	while	while	SCONJ
fumecheng-6927	306	19	its	its	PRON
fumecheng-6927	306	20	retardance	retardance	NOUN
fumecheng-6927	306	21	measures	measure	NOUN
fumecheng-6927	306	22	how	how	SCONJ
fumecheng-6927	306	23	soft	soft	ADJ
fumecheng-6927	306	24	the	the	DET
fumecheng-6927	306	25	spring	spring	NOUN
fumecheng-6927	306	26	is	be	AUX
fumecheng-6927	306	27	:	:	PUNCT
fumecheng-6927	306	28	its	its	PRON
fumecheng-6927	306	29	compliance	compliance	NOUN
fumecheng-6927	306	30	.	.	PUNCT
fumecheng-6927	307	1	thus	thus	ADV
fumecheng-6927	307	2	,	,	PUNCT
fumecheng-6927	307	3	the	the	PRON
fumecheng-6927	307	4	larger	large	ADJ
fumecheng-6927	307	5	the	the	DET
fumecheng-6927	307	6	value	value	NOUN
fumecheng-6927	307	7	of	of	ADP
fumecheng-6927	307	8	compliance	compliance	NOUN
fumecheng-6927	307	9	,	,	PUNCT
fumecheng-6927	307	10	the	the	DET
fumecheng-6927	307	11	softer	soft	ADJ
fumecheng-6927	307	12	the	the	DET
fumecheng-6927	307	13	spring	spring	NOUN
fumecheng-6927	307	14	is	be	AUX
fumecheng-6927	307	15	.	.	PUNCT
fumecheng-6927	308	1	generally	generally	ADV
fumecheng-6927	308	2	,	,	PUNCT
fumecheng-6927	308	3	viscoelastic	viscoelastic	ADJ
fumecheng-6927	308	4	materials	material	NOUN
fumecheng-6927	308	5	have	have	VERB
fumecheng-6927	308	6	low	low	ADJ
fumecheng-6927	308	7	values	value	NOUN
fumecheng-6927	308	8	of	of	ADP
fumecheng-6927	308	9	glassy	glassy	NOUN
fumecheng-6927	308	10	compliance	compliance	NOUN
fumecheng-6927	308	11	(	(	PUNCT
fumecheng-6927	308	12	jg	jg	PROPN
fumecheng-6927	308	13	)	)	PUNCT
fumecheng-6927	308	14	,	,	PUNCT
fumecheng-6927	308	15	which	which	PRON
fumecheng-6927	308	16	means	mean	VERB
fumecheng-6927	308	17	that	that	SCONJ
fumecheng-6927	308	18	they	they	PRON
fumecheng-6927	308	19	behave	behave	VERB
fumecheng-6927	308	20	in	in	ADP
fumecheng-6927	308	21	a	a	DET
fumecheng-6927	308	22	stiff	stiff	ADJ
fumecheng-6927	308	23	-	-	PUNCT
fumecheng-6927	308	24	elastic	elastic	ADJ
fumecheng-6927	308	25	manner	manner	NOUN
fumecheng-6927	308	26	when	when	SCONJ
fumecheng-6927	308	27	quickly	quickly	ADV
fumecheng-6927	308	28	deformed	deform	VERB
fumecheng-6927	308	29	(	(	PUNCT
fumecheng-6927	308	30	i.e.	i.e.	X
fumecheng-6927	308	31	,	,	PUNCT
fumecheng-6927	308	32	at	at	ADP
fumecheng-6927	308	33	short	short	ADJ
fumecheng-6927	308	34	timescales	timescale	NOUN
fumecheng-6927	308	35	)	)	PUNCT
fumecheng-6927	308	36	.	.	PUNCT
fumecheng-6927	309	1	on	on	ADP
fumecheng-6927	309	2	the	the	DET
fumecheng-6927	309	3	other	other	ADJ
fumecheng-6927	309	4	hand	hand	NOUN
fumecheng-6927	309	5	,	,	PUNCT
fumecheng-6927	309	6	viscoelastic	viscoelastic	ADJ
fumecheng-6927	309	7	materials	material	NOUN
fumecheng-6927	309	8	have	have	VERB
fumecheng-6927	309	9	larger	large	ADJ
fumecheng-6927	309	10	equilibrium	equilibrium	NOUN
fumecheng-6927	309	11	(	(	PUNCT
fumecheng-6927	309	12	rubbery	rubbery	NOUN
fumecheng-6927	309	13	)	)	PUNCT
fumecheng-6927	309	14	compliances	compliance	NOUN
fumecheng-6927	309	15	(	(	PUNCT
fumecheng-6927	309	16	je	je	X
fumecheng-6927	309	17	)	)	PUNCT
fumecheng-6927	309	18	when	when	SCONJ
fumecheng-6927	309	19	probed	probe	VERB
fumecheng-6927	309	20	with	with	ADP
fumecheng-6927	309	21	very	very	ADV
fumecheng-6927	309	22	slow	slow	ADJ
fumecheng-6927	309	23	excitations	excitation	NOUN
fumecheng-6927	309	24	(	(	PUNCT
fumecheng-6927	309	25	je	je	X
fumecheng-6927	309	26	=	=	SYM
fumecheng-6927	309	27	j1	j1	PROPN
fumecheng-6927	309	28	+	+	CCONJ
fumecheng-6927	309	29	j2	j2	PROPN
fumecheng-6927	309	30	+	+	CCONJ
fumecheng-6927	309	31	…	…	PUNCT
fumecheng-6927	309	32	+	+	CCONJ
fumecheng-6927	309	33	jn	jn	PROPN
fumecheng-6927	309	34	)	)	PUNCT
fumecheng-6927	310	1	[	[	X
fumecheng-6927	310	2	1	1	NUM
fumecheng-6927	310	3	,	,	PUNCT
fumecheng-6927	310	4	2	2	NUM
fumecheng-6927	310	5	]	]	PUNCT
fumecheng-6927	310	6	.	.	PUNCT
fumecheng-6927	311	1	fig	fig	NOUN
fumecheng-6927	311	2	.	.	PUNCT
fumecheng-6927	312	1	5	5	NUM
fumecheng-6927	312	2	tip	tip	NOUN
fumecheng-6927	312	3	-	-	PUNCT
fumecheng-6927	312	4	sample	sample	NOUN
fumecheng-6927	312	5	interaction	interaction	NOUN
fumecheng-6927	312	6	force	force	NOUN
fumecheng-6927	312	7	curves	curve	NOUN
fumecheng-6927	312	8	calculated	calculate	VERB
fumecheng-6927	312	9	using	use	VERB
fumecheng-6927	312	10	the	the	DET
fumecheng-6927	312	11	contact_mode	contact_mode	NOUN
fumecheng-6927	312	12	function	function	NOUN
fumecheng-6927	312	13	contained	contain	VERB
fumecheng-6927	312	14	in	in	ADP
fumecheng-6927	312	15	the	the	DET
fumecheng-6927	312	16	afmsim	afmsim	ADJ
fumecheng-6927	312	17	library	library	NOUN
fumecheng-6927	313	1	[	[	X
fumecheng-6927	313	2	40	40	NUM
fumecheng-6927	313	3	]	]	PUNCT
fumecheng-6927	313	4	for	for	ADP
fumecheng-6927	313	5	a	a	DET
fumecheng-6927	313	6	3	3	NUM
fumecheng-6927	313	7	-	-	PUNCT
fumecheng-6927	313	8	arm	arm	NOUN
fumecheng-6927	313	9	generalized	generalize	VERB
fumecheng-6927	313	10	kelvin	kelvin	PROPN
fumecheng-6927	313	11	-	-	PUNCT
fumecheng-6927	313	12	voigt	voigt	PROPN
fumecheng-6927	313	13	model	model	NOUN
fumecheng-6927	313	14	.	.	PUNCT
fumecheng-6927	314	1	the	the	DET
fumecheng-6927	314	2	solid	solid	ADJ
fumecheng-6927	314	3	line	line	NOUN
fumecheng-6927	314	4	corresponds	correspond	VERB
fumecheng-6927	314	5	to	to	ADP
fumecheng-6927	314	6	the	the	DET
fumecheng-6927	314	7	tip	tip	NOUN
fumecheng-6927	314	8	approach	approach	NOUN
fumecheng-6927	314	9	and	and	CCONJ
fumecheng-6927	314	10	the	the	DET
fumecheng-6927	314	11	dash	dash	NOUN
fumecheng-6927	314	12	-	-	PUNCT
fumecheng-6927	314	13	dotted	dot	VERB
fumecheng-6927	314	14	line	line	NOUN
fumecheng-6927	314	15	corresponds	correspond	VERB
fumecheng-6927	314	16	to	to	ADP
fumecheng-6927	314	17	the	the	DET
fumecheng-6927	314	18	tip	tip	NOUN
fumecheng-6927	314	19	retract	retract	VERB
fumecheng-6927	314	20	.	.	PUNCT
fumecheng-6927	315	1	hysteresis	hysteresis	NOUN
fumecheng-6927	315	2	is	be	AUX
fumecheng-6927	315	3	evident	evident	ADJ
fumecheng-6927	315	4	in	in	ADP
fumecheng-6927	315	5	all	all	DET
fumecheng-6927	315	6	plots	plot	NOUN
fumecheng-6927	315	7	,	,	PUNCT
fumecheng-6927	315	8	as	as	SCONJ
fumecheng-6927	315	9	expected	expect	VERB
fumecheng-6927	315	10	for	for	ADP
fumecheng-6927	315	11	a	a	DET
fumecheng-6927	315	12	(	(	PUNCT
fumecheng-6927	315	13	dissipative	dissipative	NOUN
fumecheng-6927	315	14	)	)	PUNCT
fumecheng-6927	315	15	viscoelastic	viscoelastic	NOUN
fumecheng-6927	315	16	material	material	NOUN
fumecheng-6927	315	17	.	.	PUNCT
fumecheng-6927	316	1	fig	fig	NOUN
fumecheng-6927	316	2	.	.	PUNCT
fumecheng-6927	317	1	5a	5a	NUM
fumecheng-6927	317	2	provides	provide	VERB
fumecheng-6927	317	3	results	result	NOUN
fumecheng-6927	317	4	for	for	ADP
fumecheng-6927	317	5	different	different	ADJ
fumecheng-6927	317	6	characteristic	characteristic	ADJ
fumecheng-6927	317	7	time	time	NOUN
fumecheng-6927	317	8	1	1	NOUN
fumecheng-6927	317	9	,	,	PUNCT
fumecheng-6927	317	10	2x10	2x10	NOUN
fumecheng-6927	317	11	-	-	SYM
fumecheng-6927	317	12	2	2	NUM
fumecheng-6927	317	13	s	s	NOUN
fumecheng-6927	317	14	,	,	PUNCT
fumecheng-6927	317	15	1.5x10	1.5x10	NUM
fumecheng-6927	317	16	-	-	SYM
fumecheng-6927	317	17	1	1	NUM
fumecheng-6927	317	18	s	s	NOUN
fumecheng-6927	317	19	and	and	CCONJ
fumecheng-6927	317	20	4.5x10	4.5x10	PROPN
fumecheng-6927	317	21	-	-	NOUN
fumecheng-6927	317	22	1s	1s	NUM
fumecheng-6927	317	23	.	.	PUNCT
fumecheng-6927	318	1	the	the	DET
fumecheng-6927	318	2	remaining	remain	VERB
fumecheng-6927	318	3	viscoelastic	viscoelastic	ADJ
fumecheng-6927	318	4	model	model	NOUN
fumecheng-6927	318	5	parameters	parameter	NOUN
fumecheng-6927	318	6	are	be	AUX
fumecheng-6927	318	7	jg	jg	PROPN
fumecheng-6927	318	8	=	=	SYM
fumecheng-6927	318	9	2.0x10	2.0x10	NUM
fumecheng-6927	318	10	-	-	SYM
fumecheng-6927	318	11	10	10	NUM
fumecheng-6927	318	12	pa-1	pa-1	NOUN
fumecheng-6927	318	13	,	,	PUNCT
fumecheng-6927	318	14	j1	j1	PROPN
fumecheng-6927	318	15	=	=	SYM
fumecheng-6927	318	16	9.0x10	9.0x10	NUM
fumecheng-6927	318	17	-	-	SYM
fumecheng-6927	318	18	9	9	NUM
fumecheng-6927	318	19	pa-1	pa-1	NUM
fumecheng-6927	318	20	,	,	PUNCT
fumecheng-6927	318	21	j2=7.0x10	j2=7.0x10	PROPN
fumecheng-6927	318	22	-	-	PROPN
fumecheng-6927	318	23	9	9	NUM
fumecheng-6927	318	24	pa-1	pa-1	NUM
fumecheng-6927	318	25	,	,	PUNCT
fumecheng-6927	318	26	j3	j3	PROPN
fumecheng-6927	318	27	=	=	PROPN
fumecheng-6927	318	28	1.0x10	1.0x10	NUM
fumecheng-6927	318	29	-	-	SYM
fumecheng-6927	318	30	10	10	NUM
fumecheng-6927	318	31	pa-1	pa-1	NOUN
fumecheng-6927	318	32	,	,	PUNCT
fumecheng-6927	318	33	2	2	PROPN
fumecheng-6927	318	34	=	=	SYM
fumecheng-6927	318	35	0.5x10	0.5x10	NOUN
fumecheng-6927	318	36	-	-	SYM
fumecheng-6927	318	37	3	3	NUM
fumecheng-6927	318	38	s	s	NOUN
fumecheng-6927	318	39	,	,	PUNCT
fumecheng-6927	318	40	3	3	PROPN
fumecheng-6927	318	41	=	=	VERB
fumecheng-6927	318	42	0.5x10	0.5x10	NOUN
fumecheng-6927	318	43	-	-	SYM
fumecheng-6927	318	44	2	2	NUM
fumecheng-6927	318	45	s.	s.	PROPN
fumecheng-6927	318	46	fig.5b	fig.5b	PROPN
fumecheng-6927	318	47	displays	display	NOUN
fumecheng-6927	318	48	results	result	NOUN
fumecheng-6927	318	49	for	for	ADP
fumecheng-6927	318	50	different	different	ADJ
fumecheng-6927	318	51	cantilever	cantilever	NOUN
fumecheng-6927	318	52	stiffness	stiffness	NOUN
fumecheng-6927	318	53	.	.	PUNCT
fumecheng-6927	319	1	the	the	DET
fumecheng-6927	319	2	simulation	simulation	NOUN
fumecheng-6927	319	3	parameters	parameter	NOUN
fumecheng-6927	319	4	are	be	AUX
fumecheng-6927	319	5	jg	jg	PROPN
fumecheng-6927	319	6	=	=	SYM
fumecheng-6927	319	7	2.0x10	2.0x10	NUM
fumecheng-6927	319	8	-	-	SYM
fumecheng-6927	319	9	10	10	NUM
fumecheng-6927	319	10	pa-1	pa-1	NOUN
fumecheng-6927	319	11	,	,	PUNCT
fumecheng-6927	319	12	j1	j1	PROPN
fumecheng-6927	319	13	=	=	PUNCT
fumecheng-6927	319	14	5.0x10	5.0x10	NUM
fumecheng-6927	319	15	-	-	SYM
fumecheng-6927	319	16	9	9	NUM
fumecheng-6927	319	17	pa-1	pa-1	NUM
fumecheng-6927	319	18	,	,	PUNCT
fumecheng-6927	319	19	j2	j2	PROPN
fumecheng-6927	319	20	=	=	PROPN
fumecheng-6927	319	21	7.0x10	7.0x10	PROPN
fumecheng-6927	319	22	-	-	X
fumecheng-6927	319	23	9	9	NUM
fumecheng-6927	319	24	pa-1	pa-1	NUM
fumecheng-6927	319	25	,	,	PUNCT
fumecheng-6927	319	26	j3	j3	PROPN
fumecheng-6927	319	27	=	=	PROPN
fumecheng-6927	319	28	1.0x10	1.0x10	NUM
fumecheng-6927	319	29	-	-	SYM
fumecheng-6927	319	30	10	10	NUM
fumecheng-6927	319	31	pa-1,1	pa-1,1	NOUN
fumecheng-6927	319	32	=	=	NOUN
fumecheng-6927	319	33	1.5x10	1.5x10	NUM
fumecheng-6927	319	34	-	-	SYM
fumecheng-6927	319	35	1	1	NUM
fumecheng-6927	319	36	s	s	NOUN
fumecheng-6927	319	37	,	,	PUNCT
fumecheng-6927	319	38	2	2	PROPN
fumecheng-6927	319	39	=	=	SYM
fumecheng-6927	319	40	0.5x10	0.5x10	NOUN
fumecheng-6927	319	41	-	-	SYM
fumecheng-6927	319	42	3	3	NUM
fumecheng-6927	319	43	s	s	NOUN
fumecheng-6927	319	44	,	,	PUNCT
fumecheng-6927	319	45	3	3	PROPN
fumecheng-6927	319	46	=	=	VERB
fumecheng-6927	319	47	0.5x10	0.5x10	NOUN
fumecheng-6927	319	48	-	-	SYM
fumecheng-6927	319	49	2	2	NUM
fumecheng-6927	319	50	s	s	NOUN
fumecheng-6927	319	51	and	and	CCONJ
fumecheng-6927	319	52	k	k	NOUN
fumecheng-6927	319	53	=	=	SYM
fumecheng-6927	319	54	0.5	0.5	NUM
fumecheng-6927	319	55	,	,	PUNCT
fumecheng-6927	319	56	1	1	NUM
fumecheng-6927	319	57	and	and	CCONJ
fumecheng-6927	319	58	2	2	NUM
fumecheng-6927	319	59	n	n	CCONJ
fumecheng-6927	319	60	/	/	SYM
fumecheng-6927	319	61	m.	m.	NOUN
fumecheng-6927	319	62	guidelines	guideline	NOUN
fumecheng-6927	319	63	to	to	PART
fumecheng-6927	319	64	simulate	simulate	VERB
fumecheng-6927	319	65	linear	linear	ADJ
fumecheng-6927	319	66	viscoelastic	viscoelastic	NOUN
fumecheng-6927	319	67	materials	material	NOUN
fumecheng-6927	319	68	with	with	ADP
fumecheng-6927	319	69	an	an	DET
fumecheng-6927	319	70	arbitrary	arbitrary	ADJ
fumecheng-6927	319	71	number	number	NOUN
fumecheng-6927	319	72	of	of	ADP
fumecheng-6927	319	73	characteristic	characteristic	ADJ
fumecheng-6927	319	74	times	time	NOUN
fumecheng-6927	319	75	...	...	PUNCT
fumecheng-6927	319	76	149	149	NUM
fumecheng-6927	319	77	3.2	3.2	NUM
fumecheng-6927	319	78	long	long	ADJ
fumecheng-6927	319	79	-	-	PUNCT
fumecheng-6927	319	80	range	range	NOUN
fumecheng-6927	319	81	noncontact	noncontact	ADJ
fumecheng-6927	319	82	forces	force	NOUN
fumecheng-6927	319	83	to	to	PART
fumecheng-6927	319	84	accurately	accurately	ADV
fumecheng-6927	319	85	simulate	simulate	VERB
fumecheng-6927	319	86	an	an	DET
fumecheng-6927	319	87	afm	afm	NOUN
fumecheng-6927	319	88	experiment	experiment	NOUN
fumecheng-6927	319	89	,	,	PUNCT
fumecheng-6927	319	90	noncontact	noncontact	ADJ
fumecheng-6927	319	91	forces	force	NOUN
fumecheng-6927	319	92	(	(	PUNCT
fumecheng-6927	319	93	van	van	NOUN
fumecheng-6927	319	94	der	der	NOUN
fumecheng-6927	319	95	waals	waal	NOUN
fumecheng-6927	319	96	or	or	CCONJ
fumecheng-6927	319	97	london	london	PROPN
fumecheng-6927	319	98	dispersion	dispersion	NOUN
fumecheng-6927	319	99	forces	force	NOUN
fumecheng-6927	319	100	)	)	PUNCT
fumecheng-6927	319	101	must	must	AUX
fumecheng-6927	319	102	be	be	AUX
fumecheng-6927	319	103	accounted	account	VERB
fumecheng-6927	319	104	for	for	ADP
fumecheng-6927	319	105	.	.	PUNCT
fumecheng-6927	320	1	as	as	SCONJ
fumecheng-6927	320	2	the	the	DET
fumecheng-6927	320	3	simulation	simulation	NOUN
fumecheng-6927	320	4	begins	begin	VERB
fumecheng-6927	320	5	,	,	PUNCT
fumecheng-6927	320	6	if	if	SCONJ
fumecheng-6927	320	7	the	the	DET
fumecheng-6927	320	8	tipposition	tipposition	NOUN
fumecheng-6927	320	9	is	be	AUX
fumecheng-6927	320	10	greater	great	ADJ
fumecheng-6927	320	11	than	than	ADP
fumecheng-6927	320	12	zero	zero	NUM
fumecheng-6927	320	13	,	,	PUNCT
fumecheng-6927	320	14	meaning	mean	VERB
fumecheng-6927	320	15	there	there	PRON
fumecheng-6927	320	16	is	be	VERB
fumecheng-6927	320	17	no	no	DET
fumecheng-6927	320	18	tip	tip	NOUN
fumecheng-6927	320	19	-	-	PUNCT
fumecheng-6927	320	20	sample	sample	NOUN
fumecheng-6927	320	21	contact	contact	NOUN
fumecheng-6927	320	22	yet	yet	ADV
fumecheng-6927	320	23	,	,	PUNCT
fumecheng-6927	320	24	the	the	DET
fumecheng-6927	320	25	tip	tip	NOUN
fumecheng-6927	320	26	and	and	CCONJ
fumecheng-6927	320	27	sample	sample	NOUN
fumecheng-6927	320	28	will	will	AUX
fumecheng-6927	320	29	experience	experience	VERB
fumecheng-6927	320	30	an	an	DET
fumecheng-6927	320	31	attractive	attractive	ADJ
fumecheng-6927	320	32	force	force	NOUN
fumecheng-6927	320	33	,	,	PUNCT
fumecheng-6927	320	34	which	which	PRON
fumecheng-6927	320	35	is	be	AUX
fumecheng-6927	320	36	generally	generally	ADV
fumecheng-6927	320	37	modeled	model	VERB
fumecheng-6927	320	38	using	use	VERB
fumecheng-6927	320	39	the	the	DET
fumecheng-6927	320	40	hamaker	hamaker	NOUN
fumecheng-6927	320	41	equation	equation	NOUN
fumecheng-6927	320	42	[	[	X
fumecheng-6927	320	43	30	30	NUM
fumecheng-6927	320	44	]	]	PUNCT
fumecheng-6927	320	45	:	:	PUNCT
fumecheng-6927	320	46	𝐹𝑣𝑑𝑊	𝐹𝑣𝑑𝑊	X
fumecheng-6927	320	47	=	=	PUNCT
fumecheng-6927	320	48	−	−	PROPN
fumecheng-6927	320	49	𝐻∗𝑅	𝐻∗𝑅	NOUN
fumecheng-6927	320	50	6	6	NUM
fumecheng-6927	320	51	(	(	PUNCT
fumecheng-6927	320	52	𝑇𝑖𝑝𝑃𝑜𝑠)2	𝑇𝑖𝑝𝑃𝑜𝑠)2	PROPN
fumecheng-6927	320	53	(	(	PUNCT
fumecheng-6927	320	54	49	49	NUM
fumecheng-6927	320	55	)	)	PUNCT
fumecheng-6927	320	56	where	where	SCONJ
fumecheng-6927	320	57	h	h	NOUN
fumecheng-6927	320	58	is	be	AUX
fumecheng-6927	320	59	the	the	DET
fumecheng-6927	320	60	hamaker	hamaker	NOUN
fumecheng-6927	320	61	constant	constant	ADJ
fumecheng-6927	320	62	,	,	PUNCT
fumecheng-6927	320	63	r	r	NOUN
fumecheng-6927	320	64	is	be	AUX
fumecheng-6927	320	65	the	the	DET
fumecheng-6927	320	66	radius	radius	NOUN
fumecheng-6927	320	67	of	of	ADP
fumecheng-6927	320	68	curvature	curvature	NOUN
fumecheng-6927	320	69	of	of	ADP
fumecheng-6927	320	70	the	the	DET
fumecheng-6927	320	71	afm	afm	PROPN
fumecheng-6927	320	72	tip	tip	NOUN
fumecheng-6927	320	73	(	(	PUNCT
fumecheng-6927	320	74	assumed	assume	VERB
fumecheng-6927	320	75	to	to	PART
fumecheng-6927	320	76	be	be	AUX
fumecheng-6927	320	77	nearly	nearly	ADV
fumecheng-6927	320	78	spherical	spherical	ADJ
fumecheng-6927	320	79	)	)	PUNCT
fumecheng-6927	320	80	and	and	CCONJ
fumecheng-6927	320	81	tippos	tippos	NOUN
fumecheng-6927	320	82	gives	give	VERB
fumecheng-6927	320	83	the	the	DET
fumecheng-6927	320	84	tip	tip	NOUN
fumecheng-6927	320	85	-	-	PUNCT
fumecheng-6927	320	86	sample	sample	NOUN
fumecheng-6927	320	87	distance	distance	NOUN
fumecheng-6927	320	88	(	(	PUNCT
fumecheng-6927	320	89	the	the	DET
fumecheng-6927	320	90	distance	distance	NOUN
fumecheng-6927	320	91	between	between	ADP
fumecheng-6927	320	92	the	the	DET
fumecheng-6927	320	93	tip	tip	NOUN
fumecheng-6927	320	94	and	and	CCONJ
fumecheng-6927	320	95	the	the	DET
fumecheng-6927	320	96	unperturbed	unperturbed	ADJ
fumecheng-6927	320	97	surface	surface	NOUN
fumecheng-6927	320	98	)	)	PUNCT
fumecheng-6927	320	99	.	.	PUNCT
fumecheng-6927	321	1	the	the	DET
fumecheng-6927	321	2	negative	negative	ADJ
fumecheng-6927	321	3	sign	sign	NOUN
fumecheng-6927	321	4	indicates	indicate	VERB
fumecheng-6927	321	5	that	that	SCONJ
fumecheng-6927	321	6	the	the	DET
fumecheng-6927	321	7	forces	force	NOUN
fumecheng-6927	321	8	are	be	AUX
fumecheng-6927	321	9	attractive	attractive	ADJ
fumecheng-6927	321	10	(	(	PUNCT
fumecheng-6927	321	11	i.e.	i.e.	X
fumecheng-6927	321	12	,	,	PUNCT
fumecheng-6927	321	13	the	the	DET
fumecheng-6927	321	14	tip	tip	NOUN
fumecheng-6927	321	15	experiences	experience	VERB
fumecheng-6927	321	16	a	a	DET
fumecheng-6927	321	17	downward	downward	ADJ
fumecheng-6927	321	18	force	force	NOUN
fumecheng-6927	321	19	)	)	PUNCT
fumecheng-6927	321	20	.	.	PUNCT
fumecheng-6927	322	1	when	when	SCONJ
fumecheng-6927	322	2	there	there	PRON
fumecheng-6927	322	3	is	be	VERB
fumecheng-6927	322	4	no	no	DET
fumecheng-6927	322	5	tip	tip	NOUN
fumecheng-6927	322	6	-	-	PUNCT
fumecheng-6927	322	7	sample	sample	NOUN
fumecheng-6927	322	8	contact	contact	NOUN
fumecheng-6927	322	9	,	,	PUNCT
fumecheng-6927	322	10	eq.(49	eq.(49	PROPN
fumecheng-6927	322	11	)	)	PUNCT
fumecheng-6927	322	12	describes	describe	VERB
fumecheng-6927	322	13	the	the	DET
fumecheng-6927	322	14	only	only	ADJ
fumecheng-6927	322	15	force	force	NOUN
fumecheng-6927	322	16	present	present	ADJ
fumecheng-6927	322	17	,	,	PUNCT
fumecheng-6927	322	18	so	so	ADV
fumecheng-6927	322	19	fts	fts	PROPN
fumecheng-6927	322	20	the	the	DET
fumecheng-6927	322	21	tip	tip	NOUN
fumecheng-6927	322	22	-	-	PUNCT
fumecheng-6927	322	23	sample	sample	NOUN
fumecheng-6927	322	24	force	force	NOUN
fumecheng-6927	322	25	in	in	ADP
fumecheng-6927	322	26	the	the	DET
fumecheng-6927	322	27	cantilever	cantilever	NOUN
fumecheng-6927	322	28	tip	tip	NOUN
fumecheng-6927	322	29	equation	equation	NOUN
fumecheng-6927	322	30	of	of	ADP
fumecheng-6927	322	31	motion	motion	NOUN
fumecheng-6927	322	32	,	,	PUNCT
fumecheng-6927	322	33	eq	eq	NOUN
fumecheng-6927	322	34	.	.	PUNCT
fumecheng-6927	323	1	(	(	PUNCT
fumecheng-6927	323	2	43	43	NUM
fumecheng-6927	323	3	)	)	PUNCT
fumecheng-6927	323	4	)	)	PUNCT
fumecheng-6927	323	5	must	must	AUX
fumecheng-6927	323	6	be	be	AUX
fumecheng-6927	323	7	calculated	calculate	VERB
fumecheng-6927	323	8	using	use	VERB
fumecheng-6927	323	9	eq	eq	ADP
fumecheng-6927	323	10	.	.	PUNCT
fumecheng-6927	324	1	(	(	PUNCT
fumecheng-6927	324	2	49	49	NUM
fumecheng-6927	324	3	)	)	PUNCT
fumecheng-6927	324	4	,	,	PUNCT
fumecheng-6927	324	5	and	and	CCONJ
fumecheng-6927	324	6	there	there	PRON
fumecheng-6927	324	7	is	be	VERB
fumecheng-6927	324	8	no	no	DET
fumecheng-6927	324	9	viscoelastic	viscoelastic	ADJ
fumecheng-6927	324	10	force	force	NOUN
fumecheng-6927	324	11	component	component	NOUN
fumecheng-6927	324	12	.	.	PUNCT
fumecheng-6927	325	1	once	once	SCONJ
fumecheng-6927	325	2	tip	tip	NOUN
fumecheng-6927	325	3	-	-	PUNCT
fumecheng-6927	325	4	sample	sample	NOUN
fumecheng-6927	325	5	contact	contact	NOUN
fumecheng-6927	325	6	is	be	AUX
fumecheng-6927	325	7	established	establish	VERB
fumecheng-6927	325	8	,	,	PUNCT
fumecheng-6927	325	9	the	the	DET
fumecheng-6927	325	10	tip	tip	NOUN
fumecheng-6927	325	11	-	-	PUNCT
fumecheng-6927	325	12	sample	sample	NOUN
fumecheng-6927	325	13	force	force	NOUN
fumecheng-6927	325	14	,	,	PUNCT
fumecheng-6927	325	15	fts	fts	PROPN
fumecheng-6927	325	16	,	,	PUNCT
fumecheng-6927	325	17	has	have	VERB
fumecheng-6927	325	18	two	two	NUM
fumecheng-6927	325	19	contributions	contribution	NOUN
fumecheng-6927	325	20	:	:	PUNCT
fumecheng-6927	325	21	the	the	DET
fumecheng-6927	325	22	first	first	ADJ
fumecheng-6927	325	23	one	one	NOUN
fumecheng-6927	325	24	is	be	AUX
fumecheng-6927	325	25	the	the	DET
fumecheng-6927	325	26	viscoelastic	viscoelastic	ADJ
fumecheng-6927	325	27	force	force	NOUN
fumecheng-6927	325	28	described	describe	VERB
fumecheng-6927	325	29	above	above	ADP
fumecheng-6927	325	30	,	,	PUNCT
fumecheng-6927	325	31	fi	fi	NOUN
fumecheng-6927	325	32	,	,	PUNCT
fumecheng-6927	325	33	and	and	CCONJ
fumecheng-6927	325	34	the	the	DET
fumecheng-6927	325	35	second	second	ADJ
fumecheng-6927	325	36	one	one	NOUN
fumecheng-6927	325	37	is	be	AUX
fumecheng-6927	325	38	the	the	DET
fumecheng-6927	325	39	attractive	attractive	ADJ
fumecheng-6927	325	40	tip	tip	NOUN
fumecheng-6927	325	41	-	-	PUNCT
fumecheng-6927	325	42	sample	sample	NOUN
fumecheng-6927	325	43	force	force	NOUN
fumecheng-6927	325	44	from	from	ADP
fumecheng-6927	325	45	eq	eq	PROPN
fumecheng-6927	325	46	.	.	PUNCT
fumecheng-6927	326	1	(	(	PUNCT
fumecheng-6927	326	2	49	49	NUM
fumecheng-6927	326	3	)	)	PUNCT
fumecheng-6927	326	4	.	.	PUNCT
fumecheng-6927	327	1	when	when	SCONJ
fumecheng-6927	327	2	the	the	DET
fumecheng-6927	327	3	tip	tip	NOUN
fumecheng-6927	327	4	is	be	AUX
fumecheng-6927	327	5	pushing	push	VERB
fumecheng-6927	327	6	onto	onto	ADP
fumecheng-6927	327	7	the	the	DET
fumecheng-6927	327	8	surface	surface	NOUN
fumecheng-6927	327	9	,	,	PUNCT
fumecheng-6927	327	10	the	the	DET
fumecheng-6927	327	11	tip	tip	NOUN
fumecheng-6927	327	12	-	-	PUNCT
fumecheng-6927	327	13	sample	sample	NOUN
fumecheng-6927	327	14	distance	distance	NOUN
fumecheng-6927	327	15	is	be	AUX
fumecheng-6927	327	16	set	set	VERB
fumecheng-6927	327	17	to≈0.2	to≈0.2	PROPN
fumecheng-6927	327	18	nm	nm	PROPN
fumecheng-6927	327	19	,	,	PUNCT
fumecheng-6927	327	20	which	which	PRON
fumecheng-6927	327	21	corresponds	correspond	VERB
fumecheng-6927	327	22	approximately	approximately	ADV
fumecheng-6927	327	23	to	to	ADP
fumecheng-6927	327	24	the	the	DET
fumecheng-6927	327	25	diameter	diameter	NOUN
fumecheng-6927	327	26	of	of	ADP
fumecheng-6927	327	27	a	a	DET
fumecheng-6927	327	28	single	single	ADJ
fumecheng-6927	327	29	atom	atom	NOUN
fumecheng-6927	327	30	of	of	ADP
fumecheng-6927	327	31	average	average	ADJ
fumecheng-6927	327	32	size	size	NOUN
fumecheng-6927	327	33	(	(	PUNCT
fumecheng-6927	327	34	that	that	PRON
fumecheng-6927	327	35	is	is	ADV
fumecheng-6927	327	36	,	,	PUNCT
fumecheng-6927	327	37	we	we	PRON
fumecheng-6927	327	38	assume	assume	VERB
fumecheng-6927	327	39	that	that	SCONJ
fumecheng-6927	327	40	the	the	DET
fumecheng-6927	327	41	atoms	atom	NOUN
fumecheng-6927	327	42	of	of	ADP
fumecheng-6927	327	43	the	the	DET
fumecheng-6927	327	44	tip	tip	NOUN
fumecheng-6927	327	45	and	and	CCONJ
fumecheng-6927	327	46	the	the	DET
fumecheng-6927	327	47	sample	sample	NOUN
fumecheng-6927	327	48	are	be	AUX
fumecheng-6927	327	49	touching	touch	VERB
fumecheng-6927	327	50	one	one	NUM
fumecheng-6927	327	51	another	another	DET
fumecheng-6927	327	52	,	,	PUNCT
fumecheng-6927	327	53	so	so	CCONJ
fumecheng-6927	327	54	the	the	DET
fumecheng-6927	327	55	centers	center	NOUN
fumecheng-6927	327	56	of	of	ADP
fumecheng-6927	327	57	the	the	DET
fumecheng-6927	327	58	atoms	atom	NOUN
fumecheng-6927	327	59	in	in	ADP
fumecheng-6927	327	60	contact	contact	NOUN
fumecheng-6927	327	61	are	be	AUX
fumecheng-6927	327	62	one	one	NUM
fumecheng-6927	327	63	atomic	atomic	ADJ
fumecheng-6927	327	64	diameter	diameter	NOUN
fumecheng-6927	327	65	away	away	ADV
fumecheng-6927	327	66	)	)	PUNCT
fumecheng-6927	327	67	.	.	PUNCT
fumecheng-6927	328	1	the	the	DET
fumecheng-6927	328	2	total	total	ADJ
fumecheng-6927	328	3	tip	tip	NOUN
fumecheng-6927	328	4	-	-	PUNCT
fumecheng-6927	328	5	sample	sample	NOUN
fumecheng-6927	328	6	force	force	NOUN
fumecheng-6927	328	7	is	be	AUX
fumecheng-6927	328	8	then	then	ADV
fumecheng-6927	328	9	:	:	PUNCT
fumecheng-6927	329	1	𝐹𝑡𝑠	𝐹𝑡𝑠	PROPN
fumecheng-6927	329	2	=	=	SYM
fumecheng-6927	329	3	𝐹𝑖	𝐹𝑖	NOUN
fumecheng-6927	329	4	−	−	NOUN
fumecheng-6927	329	5	𝐻∗𝑅	𝐻∗𝑅	NOUN
fumecheng-6927	329	6	6	6	NUM
fumecheng-6927	329	7	𝑎2	𝑎2	NOUN
fumecheng-6927	329	8	(	(	PUNCT
fumecheng-6927	329	9	50	50	NUM
fumecheng-6927	329	10	)	)	PUNCT
fumecheng-6927	329	11	for	for	ADP
fumecheng-6927	329	12	simplicity	simplicity	NOUN
fumecheng-6927	329	13	,	,	PUNCT
fumecheng-6927	329	14	we	we	PRON
fumecheng-6927	329	15	assume	assume	VERB
fumecheng-6927	329	16	that	that	SCONJ
fumecheng-6927	329	17	the	the	DET
fumecheng-6927	329	18	van	van	PROPN
fumecheng-6927	329	19	der	der	NOUN
fumecheng-6927	329	20	waals	waal	NOUN
fumecheng-6927	329	21	forces	force	NOUN
fumecheng-6927	329	22	are	be	AUX
fumecheng-6927	329	23	unable	unable	ADJ
fumecheng-6927	329	24	to	to	PART
fumecheng-6927	329	25	deform	deform	VERB
fumecheng-6927	329	26	the	the	DET
fumecheng-6927	329	27	surface	surface	NOUN
fumecheng-6927	329	28	.	.	PUNCT
fumecheng-6927	330	1	strictly	strictly	ADV
fumecheng-6927	330	2	speaking	speak	VERB
fumecheng-6927	330	3	this	this	PRON
fumecheng-6927	330	4	is	be	AUX
fumecheng-6927	330	5	not	not	PART
fumecheng-6927	330	6	true	true	ADJ
fumecheng-6927	330	7	,	,	PUNCT
fumecheng-6927	330	8	since	since	SCONJ
fumecheng-6927	330	9	attractive	attractive	ADJ
fumecheng-6927	330	10	tip	tip	NOUN
fumecheng-6927	330	11	-	-	PUNCT
fumecheng-6927	330	12	sample	sample	NOUN
fumecheng-6927	330	13	forces	force	NOUN
fumecheng-6927	330	14	are	be	AUX
fumecheng-6927	330	15	in	in	ADP
fumecheng-6927	330	16	some	some	DET
fumecheng-6927	330	17	cases	case	NOUN
fumecheng-6927	330	18	able	able	ADJ
fumecheng-6927	330	19	to	to	PART
fumecheng-6927	330	20	pull	pull	VERB
fumecheng-6927	330	21	the	the	DET
fumecheng-6927	330	22	surface	surface	NOUN
fumecheng-6927	330	23	upwards	upwards	ADV
fumecheng-6927	330	24	and	and	CCONJ
fumecheng-6927	330	25	cause	cause	VERB
fumecheng-6927	330	26	it	it	PRON
fumecheng-6927	330	27	deform	deform	VERB
fumecheng-6927	330	28	above	above	ADP
fumecheng-6927	330	29	the	the	DET
fumecheng-6927	330	30	initial	initial	ADJ
fumecheng-6927	330	31	unperturbed	unperturbed	ADJ
fumecheng-6927	330	32	position	position	NOUN
fumecheng-6927	330	33	.	.	PUNCT
fumecheng-6927	331	1	this	this	PRON
fumecheng-6927	331	2	can	can	AUX
fumecheng-6927	331	3	be	be	AUX
fumecheng-6927	331	4	important	important	ADJ
fumecheng-6927	331	5	when	when	SCONJ
fumecheng-6927	331	6	modeling	model	VERB
fumecheng-6927	331	7	the	the	DET
fumecheng-6927	331	8	imaging	imaging	NOUN
fumecheng-6927	331	9	of	of	ADP
fumecheng-6927	331	10	materials	material	NOUN
fumecheng-6927	331	11	having	have	VERB
fumecheng-6927	331	12	very	very	ADV
fumecheng-6927	331	13	low	low	ADJ
fumecheng-6927	331	14	stiffness	stiffness	NOUN
fumecheng-6927	331	15	.	.	PUNCT
fumecheng-6927	332	1	3.3	3.3	NUM
fumecheng-6927	332	2	time	time	NOUN
fumecheng-6927	332	3	step	step	VERB
fumecheng-6927	332	4	the	the	DET
fumecheng-6927	332	5	time	time	NOUN
fumecheng-6927	332	6	step	step	NOUN
fumecheng-6927	332	7	,	,	PUNCT
fumecheng-6927	332	8	or	or	CCONJ
fumecheng-6927	332	9	iteration	iteration	NOUN
fumecheng-6927	332	10	step	step	NOUN
fumecheng-6927	332	11	,	,	PUNCT
fumecheng-6927	332	12	is	be	AUX
fumecheng-6927	332	13	of	of	ADP
fumecheng-6927	332	14	central	central	ADJ
fumecheng-6927	332	15	importance	importance	NOUN
fumecheng-6927	332	16	,	,	PUNCT
fumecheng-6927	332	17	as	as	SCONJ
fumecheng-6927	332	18	it	it	PRON
fumecheng-6927	332	19	has	have	VERB
fumecheng-6927	332	20	a	a	DET
fumecheng-6927	332	21	strong	strong	ADJ
fumecheng-6927	332	22	effect	effect	NOUN
fumecheng-6927	332	23	on	on	ADP
fumecheng-6927	332	24	the	the	DET
fumecheng-6927	332	25	accuracy	accuracy	NOUN
fumecheng-6927	332	26	of	of	ADP
fumecheng-6927	332	27	the	the	DET
fumecheng-6927	332	28	results	result	NOUN
fumecheng-6927	332	29	and	and	CCONJ
fumecheng-6927	332	30	significantly	significantly	ADV
fumecheng-6927	332	31	affects	affect	VERB
fumecheng-6927	332	32	the	the	DET
fumecheng-6927	332	33	stability	stability	NOUN
fumecheng-6927	332	34	of	of	ADP
fumecheng-6927	332	35	numerical	numerical	ADJ
fumecheng-6927	332	36	methods	method	NOUN
fumecheng-6927	332	37	.	.	PUNCT
fumecheng-6927	333	1	numerical	numerical	ADJ
fumecheng-6927	333	2	methods	method	NOUN
fumecheng-6927	333	3	are	be	AUX
fumecheng-6927	333	4	prone	prone	ADJ
fumecheng-6927	333	5	to	to	ADP
fumecheng-6927	333	6	instabilities	instability	NOUN
fumecheng-6927	333	7	when	when	SCONJ
fumecheng-6927	333	8	the	the	DET
fumecheng-6927	333	9	time	time	NOUN
fumecheng-6927	333	10	step	step	NOUN
fumecheng-6927	333	11	is	be	AUX
fumecheng-6927	333	12	too	too	ADV
fumecheng-6927	333	13	large	large	ADJ
fumecheng-6927	333	14	and	and	CCONJ
fumecheng-6927	333	15	can	can	AUX
fumecheng-6927	333	16	diverge	diverge	VERB
fumecheng-6927	333	17	very	very	ADV
fumecheng-6927	333	18	rapidly	rapidly	ADV
fumecheng-6927	333	19	.	.	PUNCT
fumecheng-6927	334	1	on	on	ADP
fumecheng-6927	334	2	the	the	DET
fumecheng-6927	334	3	other	other	ADJ
fumecheng-6927	334	4	hand	hand	NOUN
fumecheng-6927	334	5	,	,	PUNCT
fumecheng-6927	334	6	extremely	extremely	ADV
fumecheng-6927	334	7	small	small	ADJ
fumecheng-6927	334	8	time	time	NOUN
fumecheng-6927	334	9	steps	step	NOUN
fumecheng-6927	334	10	bring	bring	VERB
fumecheng-6927	334	11	about	about	ADP
fumecheng-6927	334	12	high	high	ADJ
fumecheng-6927	334	13	memory	memory	NOUN
fumecheng-6927	334	14	demands	demand	NOUN
fumecheng-6927	334	15	and	and	CCONJ
fumecheng-6927	334	16	lead	lead	VERB
fumecheng-6927	334	17	to	to	ADP
fumecheng-6927	334	18	unnecessarily	unnecessarily	ADV
fumecheng-6927	334	19	large	large	ADJ
fumecheng-6927	334	20	computation	computation	NOUN
fumecheng-6927	334	21	time	time	NOUN
fumecheng-6927	334	22	.	.	PUNCT
fumecheng-6927	335	1	therefore	therefore	ADV
fumecheng-6927	335	2	,	,	PUNCT
fumecheng-6927	335	3	the	the	DET
fumecheng-6927	335	4	right	right	ADJ
fumecheng-6927	335	5	balance	balance	NOUN
fumecheng-6927	335	6	between	between	ADP
fumecheng-6927	335	7	too	too	ADV
fumecheng-6927	335	8	small	small	ADJ
fumecheng-6927	335	9	and	and	CCONJ
fumecheng-6927	335	10	too	too	ADV
fumecheng-6927	335	11	large	large	ADJ
fumecheng-6927	335	12	a	a	DET
fumecheng-6927	335	13	time	time	NOUN
fumecheng-6927	335	14	step	step	NOUN
fumecheng-6927	335	15	needs	need	VERB
fumecheng-6927	335	16	to	to	PART
fumecheng-6927	335	17	be	be	AUX
fumecheng-6927	335	18	established	establish	VERB
fumecheng-6927	335	19	.	.	PUNCT
fumecheng-6927	336	1	in	in	ADP
fumecheng-6927	336	2	selecting	select	VERB
fumecheng-6927	336	3	the	the	DET
fumecheng-6927	336	4	time	time	NOUN
fumecheng-6927	336	5	step	step	NOUN
fumecheng-6927	336	6	,	,	PUNCT
fumecheng-6927	336	7	one	one	PRON
fumecheng-6927	336	8	should	should	AUX
fumecheng-6927	336	9	consider	consider	VERB
fumecheng-6927	336	10	the	the	DET
fumecheng-6927	336	11	total	total	ADJ
fumecheng-6927	336	12	simulation	simulation	NOUN
fumecheng-6927	336	13	time	time	NOUN
fumecheng-6927	336	14	required	require	VERB
fumecheng-6927	336	15	,	,	PUNCT
fumecheng-6927	336	16	the	the	DET
fumecheng-6927	336	17	smallest	small	ADJ
fumecheng-6927	336	18	characteristic	characteristic	ADJ
fumecheng-6927	336	19	time	time	NOUN
fumecheng-6927	336	20	in	in	ADP
fumecheng-6927	336	21	the	the	DET
fumecheng-6927	336	22	material	material	NOUN
fumecheng-6927	336	23	and	and	CCONJ
fumecheng-6927	336	24	the	the	DET
fumecheng-6927	336	25	period	period	NOUN
fumecheng-6927	336	26	of	of	ADP
fumecheng-6927	336	27	the	the	DET
fumecheng-6927	336	28	afm	afm	PROPN
fumecheng-6927	336	29	cantilever	cantilever	NOUN
fumecheng-6927	336	30	(	(	PUNCT
fumecheng-6927	336	31	the	the	DET
fumecheng-6927	336	32	inverse	inverse	NOUN
fumecheng-6927	336	33	of	of	ADP
fumecheng-6927	336	34	its	its	PRON
fumecheng-6927	336	35	natural	natural	ADJ
fumecheng-6927	336	36	frequency	frequency	NOUN
fumecheng-6927	336	37	)	)	PUNCT
fumecheng-6927	336	38	.	.	PUNCT
fumecheng-6927	337	1	the	the	DET
fumecheng-6927	337	2	smaller	small	ADJ
fumecheng-6927	337	3	the	the	DET
fumecheng-6927	337	4	total	total	ADJ
fumecheng-6927	337	5	simulation	simulation	NOUN
fumecheng-6927	337	6	time	time	NOUN
fumecheng-6927	337	7	,	,	PUNCT
fumecheng-6927	337	8	the	the	PRON
fumecheng-6927	337	9	smaller	small	ADJ
fumecheng-6927	337	10	the	the	DET
fumecheng-6927	337	11	time	time	NOUN
fumecheng-6927	337	12	step	step	NOUN
fumecheng-6927	337	13	must	must	AUX
fumecheng-6927	337	14	be	be	AUX
fumecheng-6927	337	15	in	in	ADP
fumecheng-6927	337	16	order	order	NOUN
fumecheng-6927	337	17	to	to	PART
fumecheng-6927	337	18	ensure	ensure	VERB
fumecheng-6927	337	19	stability	stability	NOUN
fumecheng-6927	337	20	(	(	PUNCT
fumecheng-6927	337	21	for	for	ADP
fumecheng-6927	337	22	the	the	DET
fumecheng-6927	337	23	case	case	NOUN
fumecheng-6927	337	24	of	of	ADP
fumecheng-6927	337	25	high	high	ADJ
fumecheng-6927	337	26	deformation	deformation	NOUN
fumecheng-6927	337	27	rates	rate	NOUN
fumecheng-6927	337	28	)	)	PUNCT
fumecheng-6927	337	29	.	.	PUNCT
fumecheng-6927	338	1	instead	instead	ADV
fumecheng-6927	338	2	of	of	ADP
fumecheng-6927	338	3	recommending	recommend	VERB
fumecheng-6927	338	4	a	a	DET
fumecheng-6927	338	5	specific	specific	ADJ
fumecheng-6927	338	6	time	time	NOUN
fumecheng-6927	338	7	step	step	NOUN
fumecheng-6927	338	8	that	that	PRON
fumecheng-6927	338	9	provides	provide	VERB
fumecheng-6927	338	10	stability	stability	NOUN
fumecheng-6927	338	11	,	,	PUNCT
fumecheng-6927	338	12	a	a	DET
fumecheng-6927	338	13	guideline	guideline	NOUN
fumecheng-6927	338	14	for	for	ADP
fumecheng-6927	338	15	ranges	range	NOUN
fumecheng-6927	338	16	of	of	ADP
fumecheng-6927	338	17	time	time	NOUN
fumecheng-6927	338	18	steps	step	NOUN
fumecheng-6927	338	19	seems	seem	VERB
fumecheng-6927	338	20	more	more	ADV
fumecheng-6927	338	21	applicable	applicable	ADJ
fumecheng-6927	338	22	.	.	PUNCT
fumecheng-6927	339	1	it	it	PRON
fumecheng-6927	339	2	is	be	AUX
fumecheng-6927	339	3	recommended	recommend	VERB
fumecheng-6927	339	4	that	that	SCONJ
fumecheng-6927	339	5	a	a	DET
fumecheng-6927	339	6	time	time	NOUN
fumecheng-6927	339	7	step	step	NOUN
fumecheng-6927	339	8	smaller	small	ADJ
fumecheng-6927	339	9	than	than	ADP
fumecheng-6927	339	10	the	the	DET
fumecheng-6927	339	11	smallest	small	ADJ
fumecheng-6927	339	12	characteristic	characteristic	ADJ
fumecheng-6927	339	13	time	time	NOUN
fumecheng-6927	339	14	divided	divide	VERB
fumecheng-6927	339	15	by	by	ADP
fumecheng-6927	339	16	10	10	NUM
fumecheng-6927	339	17	or	or	CCONJ
fumecheng-6927	339	18	the	the	DET
fumecheng-6927	339	19	fundamental	fundamental	ADJ
fumecheng-6927	339	20	period	period	NOUN
fumecheng-6927	339	21	t	t	PROPN
fumecheng-6927	339	22	of	of	ADP
fumecheng-6927	339	23	the	the	DET
fumecheng-6927	339	24	cantilever	cantilever	NOUN
fumecheng-6927	339	25	divided	divide	VERB
fumecheng-6927	339	26	by	by	ADP
fumecheng-6927	339	27	10,000	10,000	NUM
fumecheng-6927	339	28	be	be	AUX
fumecheng-6927	339	29	used	use	VERB
fumecheng-6927	339	30	for	for	ADP
fumecheng-6927	339	31	the	the	DET
fumecheng-6927	339	32	simulation	simulation	NOUN
fumecheng-6927	339	33	to	to	PART
fumecheng-6927	339	34	obtain	obtain	VERB
fumecheng-6927	339	35	stable	stable	ADJ
fumecheng-6927	339	36	results	result	NOUN
fumecheng-6927	339	37	.	.	PUNCT
fumecheng-6927	340	1	the	the	DET
fumecheng-6927	340	2	lower	low	ADJ
fumecheng-6927	340	3	limit	limit	NOUN
fumecheng-6927	340	4	depends	depend	VERB
fumecheng-6927	340	5	on	on	ADP
fumecheng-6927	340	6	the	the	DET
fumecheng-6927	340	7	computational	computational	ADJ
fumecheng-6927	340	8	resources	resource	NOUN
fumecheng-6927	340	9	available	available	ADJ
fumecheng-6927	340	10	.	.	PUNCT
fumecheng-6927	341	1	since	since	SCONJ
fumecheng-6927	341	2	every	every	DET
fumecheng-6927	341	3	simulation	simulation	NOUN
fumecheng-6927	341	4	has	have	VERB
fumecheng-6927	341	5	its	its	PRON
fumecheng-6927	341	6	own	own	ADJ
fumecheng-6927	341	7	peculiarities	peculiarity	NOUN
fumecheng-6927	341	8	,	,	PUNCT
fumecheng-6927	341	9	these	these	DET
fumecheng-6927	341	10	general	general	ADJ
fumecheng-6927	341	11	suggestions	suggestion	NOUN
fumecheng-6927	341	12	may	may	AUX
fumecheng-6927	341	13	not	not	PART
fumecheng-6927	341	14	always	always	ADV
fumecheng-6927	341	15	be	be	AUX
fumecheng-6927	341	16	valid	valid	ADJ
fumecheng-6927	341	17	,	,	PUNCT
fumecheng-6927	341	18	so	so	CCONJ
fumecheng-6927	341	19	the	the	DET
fumecheng-6927	341	20	optimum	optimum	ADJ
fumecheng-6927	341	21	time	time	NOUN
fumecheng-6927	341	22	step	step	NOUN
fumecheng-6927	341	23	must	must	AUX
fumecheng-6927	341	24	in	in	ADP
fumecheng-6927	341	25	the	the	DET
fumecheng-6927	341	26	end	end	NOUN
fumecheng-6927	341	27	be	be	AUX
fumecheng-6927	341	28	determined	determine	VERB
fumecheng-6927	341	29	by	by	ADP
fumecheng-6927	341	30	trial	trial	NOUN
fumecheng-6927	341	31	and	and	CCONJ
fumecheng-6927	341	32	error	error	NOUN
fumecheng-6927	341	33	.	.	PUNCT
fumecheng-6927	342	1	150	150	NUM
fumecheng-6927	342	2	m.	m.	NOUN
fumecheng-6927	342	3	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	342	4	,	,	PUNCT
fumecheng-6927	342	5	e.	e.	PROPN
fumecheng-6927	342	6	a.	a.	PROPN
fumecheng-6927	342	7	lópez	lópez	PROPN
fumecheng-6927	342	8	-	-	PUNCT
fumecheng-6927	342	9	guerra	guerra	PROPN
fumecheng-6927	342	10	,	,	PUNCT
fumecheng-6927	342	11	s.	s.	PROPN
fumecheng-6927	342	12	d.	d.	PROPN
fumecheng-6927	342	13	solares	solare	VERB
fumecheng-6927	342	14	3.4	3.4	NUM
fumecheng-6927	342	15	verification	verification	NOUN
fumecheng-6927	342	16	upon	upon	SCONJ
fumecheng-6927	342	17	successfully	successfully	ADV
fumecheng-6927	342	18	running	run	VERB
fumecheng-6927	342	19	a	a	DET
fumecheng-6927	342	20	numerical	numerical	ADJ
fumecheng-6927	342	21	simulation	simulation	NOUN
fumecheng-6927	342	22	,	,	PUNCT
fumecheng-6927	342	23	for	for	ADP
fumecheng-6927	342	24	example	example	NOUN
fumecheng-6927	342	25	using	use	VERB
fumecheng-6927	342	26	the	the	DET
fumecheng-6927	342	27	contact_mode	contact_mode	PROPN
fumecheng-6927	342	28	function	function	NOUN
fumecheng-6927	342	29	we	we	PRON
fumecheng-6927	342	30	have	have	AUX
fumecheng-6927	342	31	provided	provide	VERB
fumecheng-6927	342	32	[	[	X
fumecheng-6927	342	33	40	40	NUM
fumecheng-6927	342	34	]	]	PUNCT
fumecheng-6927	342	35	,	,	PUNCT
fumecheng-6927	342	36	the	the	DET
fumecheng-6927	342	37	question	question	NOUN
fumecheng-6927	342	38	remains	remain	VERB
fumecheng-6927	342	39	as	as	ADP
fumecheng-6927	342	40	to	to	ADP
fumecheng-6927	342	41	whether	whether	SCONJ
fumecheng-6927	342	42	it	it	PRON
fumecheng-6927	342	43	is	be	AUX
fumecheng-6927	342	44	actually	actually	ADV
fumecheng-6927	342	45	accurate	accurate	ADJ
fumecheng-6927	342	46	and	and	CCONJ
fumecheng-6927	342	47	correct	correct	ADJ
fumecheng-6927	342	48	.	.	PUNCT
fumecheng-6927	343	1	one	one	NUM
fumecheng-6927	343	2	way	way	NOUN
fumecheng-6927	343	3	to	to	PART
fumecheng-6927	343	4	verify	verify	VERB
fumecheng-6927	343	5	the	the	DET
fumecheng-6927	343	6	results	result	NOUN
fumecheng-6927	343	7	is	be	AUX
fumecheng-6927	343	8	by	by	ADP
fumecheng-6927	343	9	comparing	compare	VERB
fumecheng-6927	343	10	the	the	DET
fumecheng-6927	343	11	results	result	NOUN
fumecheng-6927	343	12	of	of	ADP
fumecheng-6927	343	13	the	the	DET
fumecheng-6927	343	14	left	left	ADJ
fumecheng-6927	343	15	-	-	PUNCT
fumecheng-6927	343	16	hand	hand	NOUN
fumecheng-6927	343	17	-	-	PUNCT
fumecheng-6927	343	18	side	side	NOUN
fumecheng-6927	343	19	(	(	PUNCT
fumecheng-6927	343	20	lhs	lhs	PROPN
fumecheng-6927	343	21	)	)	PUNCT
fumecheng-6927	343	22	with	with	ADP
fumecheng-6927	343	23	the	the	DET
fumecheng-6927	343	24	right	right	ADJ
fumecheng-6927	343	25	-	-	PUNCT
fumecheng-6927	343	26	hand	hand	NOUN
fumecheng-6927	343	27	-	-	PUNCT
fumecheng-6927	343	28	side	side	NOUN
fumecheng-6927	343	29	(	(	PUNCT
fumecheng-6927	343	30	rhs	rhs	PROPN
fumecheng-6927	343	31	)	)	PUNCT
fumecheng-6927	343	32	of	of	ADP
fumecheng-6927	343	33	the	the	DET
fumecheng-6927	343	34	following	follow	VERB
fumecheng-6927	343	35	equation	equation	NOUN
fumecheng-6927	343	36	,	,	PUNCT
fumecheng-6927	343	37	the	the	DET
fumecheng-6927	343	38	boltzmann	boltzmann	PROPN
fumecheng-6927	343	39	superposition	superposition	PROPN
fumecheng-6927	343	40	integral	integral	ADJ
fumecheng-6927	343	41	,	,	PUNCT
fumecheng-6927	343	42	adjusted	adjust	VERB
fumecheng-6927	343	43	for	for	ADP
fumecheng-6927	343	44	a	a	DET
fumecheng-6927	343	45	spherical	spherical	ADJ
fumecheng-6927	343	46	tip	tip	NOUN
fumecheng-6927	343	47	according	accord	VERB
fumecheng-6927	343	48	to	to	ADP
fumecheng-6927	343	49	lee	lee	PROPN
fumecheng-6927	343	50	and	and	CCONJ
fumecheng-6927	343	51	radok	radok	X
fumecheng-6927	343	52	[	[	X
fumecheng-6927	343	53	17	17	NUM
fumecheng-6927	343	54	]	]	PUNCT
fumecheng-6927	343	55	.	.	PUNCT
fumecheng-6927	344	1	16√𝑅	16√𝑅	NUM
fumecheng-6927	344	2	3	3	NUM
fumecheng-6927	344	3	ℎ(𝑡)3/2	ℎ(𝑡)3/2	PROPN
fumecheng-6927	344	4	=	=	SYM
fumecheng-6927	344	5	∫	∫	PROPN
fumecheng-6927	344	6	𝑈(𝑡	𝑈(𝑡	CCONJ
fumecheng-6927	344	7	−	−	PROPN
fumecheng-6927	344	8	𝜉)𝐹(𝜉)𝑑𝜉	𝜉)𝐹(𝜉)𝑑𝜉	PUNCT
fumecheng-6927	344	9	𝑡	𝑡	X
fumecheng-6927	344	10	0	0	NUM
fumecheng-6927	344	11	(	(	PUNCT
fumecheng-6927	344	12	51	51	NUM
fumecheng-6927	344	13	)	)	PUNCT
fumecheng-6927	344	14	where	where	SCONJ
fumecheng-6927	344	15	the	the	DET
fumecheng-6927	344	16	lhs	lhs	PROPN
fumecheng-6927	344	17	equals	equal	VERB
fumecheng-6927	344	18	𝐿𝐻𝑆	𝐿𝐻𝑆	PROPN
fumecheng-6927	344	19	=	=	SYM
fumecheng-6927	344	20	𝛼	𝛼	PART
fumecheng-6927	344	21	∗	∗	NOUN
fumecheng-6927	344	22	ℎ(𝑡)3/2	ℎ(𝑡)3/2	PROPN
fumecheng-6927	344	23	(	(	PUNCT
fumecheng-6927	344	24	52	52	NUM
fumecheng-6927	344	25	)	)	PUNCT
fumecheng-6927	344	26	and	and	CCONJ
fumecheng-6927	344	27	the	the	DET
fumecheng-6927	344	28	rhs	rhs	PROPN
fumecheng-6927	344	29	,	,	PUNCT
fumecheng-6927	344	30	the	the	DET
fumecheng-6927	344	31	convolution	convolution	NOUN
fumecheng-6927	344	32	of	of	ADP
fumecheng-6927	344	33	force	force	NOUN
fumecheng-6927	344	34	with	with	ADP
fumecheng-6927	344	35	retardance	retardance	NOUN
fumecheng-6927	344	36	(	(	PUNCT
fumecheng-6927	344	37	u*f	u*f	PROPN
fumecheng-6927	344	38	)	)	PUNCT
fumecheng-6927	344	39	,	,	PUNCT
fumecheng-6927	344	40	equals	equal	VERB
fumecheng-6927	344	41	𝑅𝐻𝑆	𝑅𝐻𝑆	NOUN
fumecheng-6927	344	42	=	=	SYM
fumecheng-6927	344	43	𝐽𝑔𝐹(𝑡	𝐽𝑔𝐹(𝑡	PROPN
fumecheng-6927	344	44	)	)	PUNCT
fumecheng-6927	345	1	+	+	CCONJ
fumecheng-6927	345	2	∑	∑	PUNCT
fumecheng-6927	345	3	∫	∫	PROPN
fumecheng-6927	346	1	𝐽𝑛	𝐽𝑛	PROPN
fumecheng-6927	346	2	𝜏𝑛	𝜏𝑛	ADP
fumecheng-6927	346	3	𝑒−(𝑡−𝜉)/𝜏𝑛𝑑𝜉	𝑒−(𝑡−𝜉)/𝜏𝑛𝑑𝜉	PROPN
fumecheng-6927	346	4	𝑡	𝑡	PROPN
fumecheng-6927	346	5	0𝑛	0𝑛	PROPN
fumecheng-6927	346	6	(	(	PUNCT
fumecheng-6927	346	7	53	53	NUM
fumecheng-6927	346	8	)	)	PUNCT
fumecheng-6927	346	9	where	where	SCONJ
fumecheng-6927	346	10	𝑈(𝑡	𝑈(𝑡	NUM
fumecheng-6927	346	11	)	)	PUNCT
fumecheng-6927	346	12	=	=	SYM
fumecheng-6927	347	1	𝐽𝑔	𝐽𝑔	PROPN
fumecheng-6927	347	2	+	+	PROPN
fumecheng-6927	347	3	∑	∑	PUNCT
fumecheng-6927	347	4	𝐽𝑛	𝐽𝑛	PROPN
fumecheng-6927	347	5	𝜏𝑛	𝜏𝑛	ADP
fumecheng-6927	347	6	𝑒−𝑡/𝜏𝑛	𝑒−𝑡/𝜏𝑛	PROPN
fumecheng-6927	347	7	𝑛	𝑛	PROPN
fumecheng-6927	347	8	is	be	AUX
fumecheng-6927	347	9	the	the	DET
fumecheng-6927	347	10	compliance	compliance	NOUN
fumecheng-6927	347	11	of	of	ADP
fumecheng-6927	347	12	the	the	DET
fumecheng-6927	347	13	material	material	NOUN
fumecheng-6927	347	14	.	.	PUNCT
fumecheng-6927	348	1	recall	recall	VERB
fumecheng-6927	348	2	that=	that=	PRON
fumecheng-6927	348	3	16√𝑅	16√𝑅	NUM
fumecheng-6927	348	4	3	3	NUM
fumecheng-6927	348	5	,	,	PUNCT
fumecheng-6927	348	6	h(t	h(t	PROPN
fumecheng-6927	348	7	)	)	PUNCT
fumecheng-6927	348	8	and	and	CCONJ
fumecheng-6927	348	9	f(t	f(t	NOUN
fumecheng-6927	348	10	)	)	PUNCT
fumecheng-6927	348	11	are	be	AUX
fumecheng-6927	348	12	the	the	DET
fumecheng-6927	348	13	indentation	indentation	NOUN
fumecheng-6927	348	14	and	and	CCONJ
fumecheng-6927	348	15	the	the	DET
fumecheng-6927	348	16	force	force	NOUN
fumecheng-6927	348	17	,	,	PUNCT
fumecheng-6927	348	18	respectively	respectively	ADV
fumecheng-6927	348	19	,	,	PUNCT
fumecheng-6927	348	20	as	as	ADP
fumecheng-6927	348	21	before	before	ADV
fumecheng-6927	348	22	.	.	PUNCT
fumecheng-6927	349	1	𝜉is	𝜉is	VERB
fumecheng-6927	349	2	the	the	DET
fumecheng-6927	349	3	integration	integration	NOUN
fumecheng-6927	349	4	variable	variable	NOUN
fumecheng-6927	349	5	.	.	PUNCT
fumecheng-6927	350	1	once	once	SCONJ
fumecheng-6927	350	2	the	the	DET
fumecheng-6927	350	3	simulation	simulation	NOUN
fumecheng-6927	350	4	data	datum	NOUN
fumecheng-6927	350	5	is	be	AUX
fumecheng-6927	350	6	collected	collect	VERB
fumecheng-6927	350	7	,	,	PUNCT
fumecheng-6927	350	8	one	one	PRON
fumecheng-6927	350	9	can	can	AUX
fumecheng-6927	350	10	use	use	VERB
fumecheng-6927	350	11	the	the	DET
fumecheng-6927	350	12	deformation	deformation	NOUN
fumecheng-6927	350	13	data	datum	NOUN
fumecheng-6927	350	14	to	to	PART
fumecheng-6927	350	15	calculate	calculate	VERB
fumecheng-6927	350	16	the	the	DET
fumecheng-6927	350	17	lhs	lhs	PROPN
fumecheng-6927	350	18	,	,	PUNCT
fumecheng-6927	350	19	and	and	CCONJ
fumecheng-6927	350	20	the	the	DET
fumecheng-6927	350	21	force	force	NOUN
fumecheng-6927	350	22	data	datum	NOUN
fumecheng-6927	350	23	to	to	PART
fumecheng-6927	350	24	calculate	calculate	VERB
fumecheng-6927	350	25	the	the	DET
fumecheng-6927	350	26	rhs	rhs	PROPN
fumecheng-6927	350	27	.	.	PUNCT
fumecheng-6927	351	1	the	the	DET
fumecheng-6927	351	2	rhs	rhs	PROPN
fumecheng-6927	351	3	can	can	AUX
fumecheng-6927	351	4	be	be	AUX
fumecheng-6927	351	5	calculated	calculate	VERB
fumecheng-6927	351	6	with	with	ADP
fumecheng-6927	351	7	the	the	DET
fumecheng-6927	351	8	conv	conv	ADJ
fumecheng-6927	351	9	function	function	NOUN
fumecheng-6927	351	10	in	in	ADP
fumecheng-6927	351	11	the	the	DET
fumecheng-6927	351	12	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	351	13	library	library	NOUN
fumecheng-6927	351	14	in	in	ADP
fumecheng-6927	351	15	our	our	PRON
fumecheng-6927	351	16	github	github	NOUN
fumecheng-6927	351	17	repository	repository	NOUN
fumecheng-6927	351	18	[	[	X
fumecheng-6927	351	19	40	40	NUM
fumecheng-6927	351	20	]	]	PUNCT
fumecheng-6927	351	21	.	.	PUNCT
fumecheng-6927	352	1	calculating	calculate	VERB
fumecheng-6927	352	2	the	the	DET
fumecheng-6927	352	3	rhs	rhs	PROPN
fumecheng-6927	352	4	requires	require	VERB
fumecheng-6927	352	5	passing	pass	VERB
fumecheng-6927	352	6	the	the	DET
fumecheng-6927	352	7	force	force	NOUN
fumecheng-6927	352	8	and	and	CCONJ
fumecheng-6927	352	9	time	time	NOUN
fumecheng-6927	352	10	arrays	array	VERB
fumecheng-6927	352	11	from	from	ADP
fumecheng-6927	352	12	the	the	DET
fumecheng-6927	352	13	simulation	simulation	NOUN
fumecheng-6927	352	14	to	to	ADP
fumecheng-6927	352	15	the	the	DET
fumecheng-6927	352	16	numerical	numerical	ADJ
fumecheng-6927	352	17	convolution	convolution	NOUN
fumecheng-6927	352	18	described	describe	VERB
fumecheng-6927	352	19	in	in	ADP
fumecheng-6927	352	20	eq	eq	ADP
fumecheng-6927	352	21	.	.	PUNCT
fumecheng-6927	353	1	(	(	PUNCT
fumecheng-6927	353	2	53	53	NUM
fumecheng-6927	353	3	)	)	PUNCT
fumecheng-6927	353	4	.	.	PUNCT
fumecheng-6927	354	1	this	this	PRON
fumecheng-6927	354	2	can	can	AUX
fumecheng-6927	354	3	also	also	ADV
fumecheng-6927	354	4	be	be	AUX
fumecheng-6927	354	5	done	do	VERB
fumecheng-6927	354	6	using	use	VERB
fumecheng-6927	354	7	the	the	DET
fumecheng-6927	354	8	conv	conv	ADJ
fumecheng-6927	354	9	function	function	NOUN
fumecheng-6927	354	10	in	in	ADP
fumecheng-6927	354	11	the	the	DET
fumecheng-6927	354	12	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	354	13	library	library	NOUN
fumecheng-6927	354	14	in	in	ADP
fumecheng-6927	354	15	our	our	PRON
fumecheng-6927	354	16	github	github	NOUN
fumecheng-6927	354	17	repository	repository	NOUN
fumecheng-6927	354	18	[	[	X
fumecheng-6927	354	19	40	40	NUM
fumecheng-6927	354	20	]	]	PUNCT
fumecheng-6927	354	21	.	.	PUNCT
fumecheng-6927	355	1	when	when	SCONJ
fumecheng-6927	355	2	doing	do	VERB
fumecheng-6927	355	3	this	this	PRON
fumecheng-6927	355	4	,	,	PUNCT
fumecheng-6927	355	5	it	it	PRON
fumecheng-6927	355	6	is	be	AUX
fumecheng-6927	355	7	sometimes	sometimes	ADV
fumecheng-6927	355	8	computationally	computationally	ADV
fumecheng-6927	355	9	very	very	ADV
fumecheng-6927	355	10	expensive	expensive	ADJ
fumecheng-6927	355	11	to	to	PART
fumecheng-6927	355	12	pass	pass	VERB
fumecheng-6927	355	13	the	the	DET
fumecheng-6927	355	14	entire	entire	ADJ
fumecheng-6927	355	15	force	force	NOUN
fumecheng-6927	355	16	and	and	CCONJ
fumecheng-6927	355	17	time	time	NOUN
fumecheng-6927	355	18	arrays	array	VERB
fumecheng-6927	355	19	,	,	PUNCT
fumecheng-6927	355	20	which	which	PRON
fumecheng-6927	355	21	could	could	AUX
fumecheng-6927	355	22	be	be	AUX
fumecheng-6927	355	23	very	very	ADV
fumecheng-6927	355	24	large	large	ADJ
fumecheng-6927	355	25	if	if	SCONJ
fumecheng-6927	355	26	the	the	DET
fumecheng-6927	355	27	time	time	NOUN
fumecheng-6927	355	28	step	step	NOUN
fumecheng-6927	355	29	of	of	ADP
fumecheng-6927	355	30	the	the	DET
fumecheng-6927	355	31	simulation	simulation	NOUN
fumecheng-6927	355	32	is	be	AUX
fumecheng-6927	355	33	very	very	ADV
fumecheng-6927	355	34	short	short	ADJ
fumecheng-6927	355	35	.	.	PUNCT
fumecheng-6927	356	1	instead	instead	ADV
fumecheng-6927	356	2	,	,	PUNCT
fumecheng-6927	356	3	one	one	PRON
fumecheng-6927	356	4	could	could	AUX
fumecheng-6927	356	5	pass	pass	VERB
fumecheng-6927	356	6	a	a	DET
fumecheng-6927	356	7	shorter	short	ADJ
fumecheng-6927	356	8	(	(	PUNCT
fumecheng-6927	356	9	scattered	scatter	VERB
fumecheng-6927	356	10	)	)	PUNCT
fumecheng-6927	356	11	version	version	NOUN
fumecheng-6927	356	12	of	of	ADP
fumecheng-6927	356	13	the	the	DET
fumecheng-6927	356	14	arrays	array	NOUN
fumecheng-6927	356	15	containing	contain	VERB
fumecheng-6927	356	16	data	datum	NOUN
fumecheng-6927	356	17	every	every	DET
fumecheng-6927	356	18	defined	define	VERB
fumecheng-6927	356	19	number	number	NOUN
fumecheng-6927	356	20	of	of	ADP
fumecheng-6927	356	21	time	time	NOUN
fumecheng-6927	356	22	steps	step	NOUN
fumecheng-6927	356	23	.	.	PUNCT
fumecheng-6927	357	1	if	if	SCONJ
fumecheng-6927	357	2	the	the	DET
fumecheng-6927	357	3	latter	latter	ADJ
fumecheng-6927	357	4	is	be	AUX
fumecheng-6927	357	5	decided	decide	VERB
fumecheng-6927	357	6	for	for	ADP
fumecheng-6927	357	7	computational	computational	ADJ
fumecheng-6927	357	8	convenience	convenience	NOUN
fumecheng-6927	357	9	,	,	PUNCT
fumecheng-6927	357	10	a	a	DET
fumecheng-6927	357	11	word	word	NOUN
fumecheng-6927	357	12	of	of	ADP
fumecheng-6927	357	13	caution	caution	NOUN
fumecheng-6927	357	14	should	should	AUX
fumecheng-6927	357	15	be	be	AUX
fumecheng-6927	357	16	given	give	VERB
fumecheng-6927	357	17	as	as	ADP
fumecheng-6927	357	18	to	to	ADP
fumecheng-6927	357	19	how	how	SCONJ
fumecheng-6927	357	20	scattered	scatter	VERB
fumecheng-6927	357	21	the	the	DET
fumecheng-6927	357	22	version	version	NOUN
fumecheng-6927	357	23	of	of	ADP
fumecheng-6927	357	24	the	the	DET
fumecheng-6927	357	25	arrays	array	NOUN
fumecheng-6927	357	26	should	should	AUX
fumecheng-6927	357	27	be	be	AUX
fumecheng-6927	357	28	.	.	PUNCT
fumecheng-6927	358	1	specifically	specifically	ADV
fumecheng-6927	358	2	,	,	PUNCT
fumecheng-6927	358	3	we	we	PRON
fumecheng-6927	358	4	strongly	strongly	ADV
fumecheng-6927	358	5	advice	advice	VERB
fumecheng-6927	358	6	following	follow	VERB
fumecheng-6927	358	7	the	the	DET
fumecheng-6927	358	8	time	time	NOUN
fumecheng-6927	358	9	step	step	NOUN
fumecheng-6927	358	10	boundaries	boundary	NOUN
fumecheng-6927	358	11	provided	provide	VERB
fumecheng-6927	358	12	in	in	ADP
fumecheng-6927	358	13	section	section	NOUN
fumecheng-6927	358	14	3.3	3.3	NUM
fumecheng-6927	358	15	.	.	PUNCT
fumecheng-6927	359	1	an	an	DET
fumecheng-6927	359	2	example	example	NOUN
fumecheng-6927	359	3	of	of	ADP
fumecheng-6927	359	4	the	the	DET
fumecheng-6927	359	5	consequence	consequence	NOUN
fumecheng-6927	359	6	of	of	ADP
fumecheng-6927	359	7	passing	pass	VERB
fumecheng-6927	359	8	too	too	ADV
fumecheng-6927	359	9	scattered	scatter	VERB
fumecheng-6927	359	10	force	force	NOUN
fumecheng-6927	359	11	and	and	CCONJ
fumecheng-6927	359	12	time	time	NOUN
fumecheng-6927	359	13	arrays	array	VERB
fumecheng-6927	359	14	is	be	AUX
fumecheng-6927	359	15	illustrated	illustrate	VERB
fumecheng-6927	359	16	in	in	ADP
fumecheng-6927	359	17	fig	fig	NOUN
fumecheng-6927	359	18	.	.	PUNCT
fumecheng-6927	360	1	6	6	NUM
fumecheng-6927	360	2	.	.	PUNCT
fumecheng-6927	361	1	this	this	DET
fumecheng-6927	361	2	plot	plot	NOUN
fumecheng-6927	361	3	verifies	verify	VERB
fumecheng-6927	361	4	the	the	DET
fumecheng-6927	361	5	simulation	simulation	NOUN
fumecheng-6927	361	6	as	as	ADP
fumecheng-6927	361	7	correct	correct	ADJ
fumecheng-6927	361	8	,	,	PUNCT
fumecheng-6927	361	9	if	if	SCONJ
fumecheng-6927	361	10	the	the	DET
fumecheng-6927	361	11	convolution	convolution	NOUN
fumecheng-6927	361	12	integral	integral	ADJ
fumecheng-6927	361	13	(	(	PUNCT
fumecheng-6927	361	14	rhs	rhs	PROPN
fumecheng-6927	361	15	)	)	PUNCT
fumecheng-6927	361	16	and	and	CCONJ
fumecheng-6927	361	17	the	the	DET
fumecheng-6927	361	18	results	result	NOUN
fumecheng-6927	361	19	from	from	ADP
fumecheng-6927	361	20	the	the	DET
fumecheng-6927	361	21	simulation	simulation	NOUN
fumecheng-6927	361	22	(	(	PUNCT
fumecheng-6927	361	23	tip	tip	NOUN
fumecheng-6927	361	24	position	position	NOUN
fumecheng-6927	361	25	multiplied	multiply	VERB
fumecheng-6927	361	26	by	by	ADP
fumecheng-6927	361	27	α	α	PROPN
fumecheng-6927	361	28	constant	constant	ADJ
fumecheng-6927	361	29	:	:	PUNCT
fumecheng-6927	361	30	lhs	lhs	PROPN
fumecheng-6927	361	31	)	)	PUNCT
fumecheng-6927	361	32	overlay	overlay	VERB
fumecheng-6927	361	33	each	each	DET
fumecheng-6927	361	34	other	other	ADJ
fumecheng-6927	361	35	.	.	PUNCT
fumecheng-6927	362	1	as	as	SCONJ
fumecheng-6927	362	2	can	can	AUX
fumecheng-6927	362	3	be	be	AUX
fumecheng-6927	362	4	seen	see	VERB
fumecheng-6927	362	5	,	,	PUNCT
fumecheng-6927	362	6	when	when	SCONJ
fumecheng-6927	362	7	the	the	DET
fumecheng-6927	362	8	arrays	array	NOUN
fumecheng-6927	362	9	are	be	AUX
fumecheng-6927	362	10	too	too	ADV
fumecheng-6927	362	11	scattered	scatter	VERB
fumecheng-6927	362	12	(	(	PUNCT
fumecheng-6927	362	13	the	the	DET
fumecheng-6927	362	14	time	time	NOUN
fumecheng-6927	362	15	step	step	NOUN
fumecheng-6927	362	16	is	be	AUX
fumecheng-6927	362	17	too	too	ADV
fumecheng-6927	362	18	large	large	ADJ
fumecheng-6927	362	19	)	)	PUNCT
fumecheng-6927	362	20	,	,	PUNCT
fumecheng-6927	362	21	lhs	lhs	PROPN
fumecheng-6927	362	22	and	and	CCONJ
fumecheng-6927	362	23	rhs	rhs	PROPN
fumecheng-6927	362	24	do	do	AUX
fumecheng-6927	362	25	not	not	PART
fumecheng-6927	362	26	overlay	overlay	VERB
fumecheng-6927	362	27	(	(	PUNCT
fumecheng-6927	362	28	see	see	VERB
fumecheng-6927	362	29	the	the	DET
fumecheng-6927	362	30	blue	blue	ADJ
fumecheng-6927	362	31	line	line	NOUN
fumecheng-6927	362	32	labeled	label	VERB
fumecheng-6927	362	33	with	with	ADP
fumecheng-6927	362	34	a	a	DET
fumecheng-6927	362	35	time	time	NOUN
fumecheng-6927	362	36	step	step	NOUN
fumecheng-6927	362	37	dtconv	dtconv	NOUN
fumecheng-6927	363	1	=	=	SYM
fumecheng-6927	363	2	9.9x10	9.9x10	NUM
fumecheng-6927	363	3	-	-	SYM
fumecheng-6927	363	4	5	5	NUM
fumecheng-6927	363	5	s	s	NOUN
fumecheng-6927	363	6	)	)	PUNCT
fumecheng-6927	363	7	.	.	PUNCT
fumecheng-6927	364	1	in	in	ADP
fumecheng-6927	364	2	contrast	contrast	NOUN
fumecheng-6927	364	3	,	,	PUNCT
fumecheng-6927	364	4	the	the	DET
fumecheng-6927	364	5	yellow	yellow	ADJ
fumecheng-6927	364	6	line	line	NOUN
fumecheng-6927	364	7	(	(	PUNCT
fumecheng-6927	364	8	with	with	ADP
fumecheng-6927	364	9	a	a	DET
fumecheng-6927	364	10	time	time	NOUN
fumecheng-6927	364	11	step	step	NOUN
fumecheng-6927	364	12	dtconv	dtconv	NOUN
fumecheng-6927	364	13	=	=	SYM
fumecheng-6927	364	14	9.9x10	9.9x10	NUM
fumecheng-6927	364	15	-	-	SYM
fumecheng-6927	364	16	7	7	NUM
fumecheng-6927	364	17	)	)	PUNCT
fumecheng-6927	364	18	perfectly	perfectly	ADV
fumecheng-6927	364	19	overlays	overlay	VERB
fumecheng-6927	364	20	the	the	DET
fumecheng-6927	364	21	scattered	scatter	VERB
fumecheng-6927	364	22	purple	purple	ADJ
fumecheng-6927	364	23	star	star	NOUN
fumecheng-6927	364	24	points	point	NOUN
fumecheng-6927	364	25	(	(	PUNCT
fumecheng-6927	364	26	lhs	lhs	PROPN
fumecheng-6927	364	27	)	)	PUNCT
fumecheng-6927	364	28	.	.	PUNCT
fumecheng-6927	365	1	note	note	VERB
fumecheng-6927	365	2	that	that	SCONJ
fumecheng-6927	365	3	for	for	ADP
fumecheng-6927	365	4	this	this	DET
fumecheng-6927	365	5	verification	verification	NOUN
fumecheng-6927	365	6	we	we	PRON
fumecheng-6927	365	7	have	have	AUX
fumecheng-6927	365	8	not	not	PART
fumecheng-6927	365	9	considered	consider	VERB
fumecheng-6927	365	10	van	van	PROPN
fumecheng-6927	365	11	der	der	NOUN
fumecheng-6927	365	12	waals	waal	NOUN
fumecheng-6927	365	13	tip	tip	NOUN
fumecheng-6927	365	14	-	-	PUNCT
fumecheng-6927	365	15	sample	sample	NOUN
fumecheng-6927	365	16	forces	force	NOUN
fumecheng-6927	365	17	.	.	PUNCT
fumecheng-6927	366	1	guidelines	guideline	NOUN
fumecheng-6927	366	2	to	to	PART
fumecheng-6927	366	3	simulate	simulate	VERB
fumecheng-6927	366	4	linear	linear	ADJ
fumecheng-6927	366	5	viscoelastic	viscoelastic	NOUN
fumecheng-6927	366	6	materials	material	NOUN
fumecheng-6927	366	7	with	with	ADP
fumecheng-6927	366	8	an	an	DET
fumecheng-6927	366	9	arbitrary	arbitrary	ADJ
fumecheng-6927	366	10	number	number	NOUN
fumecheng-6927	366	11	of	of	ADP
fumecheng-6927	366	12	characteristic	characteristic	ADJ
fumecheng-6927	366	13	times	time	NOUN
fumecheng-6927	366	14	...	...	PUNCT
fumecheng-6927	366	15	151	151	NUM
fumecheng-6927	366	16	fig	fig	NOUN
fumecheng-6927	366	17	.	.	PUNCT
fumecheng-6927	367	1	6	6	NUM
fumecheng-6927	367	2	impact	impact	NOUN
fumecheng-6927	367	3	of	of	ADP
fumecheng-6927	367	4	computing	compute	VERB
fumecheng-6927	367	5	the	the	DET
fumecheng-6927	367	6	convolution	convolution	NOUN
fumecheng-6927	367	7	of	of	ADP
fumecheng-6927	367	8	force	force	NOUN
fumecheng-6927	367	9	with	with	ADP
fumecheng-6927	367	10	retardance	retardance	NOUN
fumecheng-6927	367	11	(	(	PUNCT
fumecheng-6927	367	12	rhs	rhs	PROPN
fumecheng-6927	367	13	,	,	PUNCT
fumecheng-6927	367	14	eq	eq	NOUN
fumecheng-6927	367	15	.	.	PUNCT
fumecheng-6927	368	1	(	(	PUNCT
fumecheng-6927	368	2	53	53	NUM
fumecheng-6927	368	3	)	)	PUNCT
fumecheng-6927	368	4	)	)	PUNCT
fumecheng-6927	368	5	with	with	ADP
fumecheng-6927	368	6	arrays	array	NOUN
fumecheng-6927	368	7	that	that	PRON
fumecheng-6927	368	8	have	have	VERB
fumecheng-6927	368	9	different	different	ADJ
fumecheng-6927	368	10	time	time	NOUN
fumecheng-6927	368	11	step	step	NOUN
fumecheng-6927	368	12	values	value	NOUN
fumecheng-6927	368	13	.	.	PUNCT
fumecheng-6927	369	1	the	the	DET
fumecheng-6927	369	2	convolutions	convolution	NOUN
fumecheng-6927	369	3	were	be	AUX
fumecheng-6927	369	4	computed	compute	VERB
fumecheng-6927	369	5	with	with	ADP
fumecheng-6927	369	6	the	the	DET
fumecheng-6927	369	7	following	following	ADJ
fumecheng-6927	369	8	time	time	NOUN
fumecheng-6927	369	9	step	step	NOUN
fumecheng-6927	369	10	values	value	NOUN
fumecheng-6927	369	11	dtconv	dtconv	VERB
fumecheng-6927	370	1	=	=	SYM
fumecheng-6927	370	2	9.9x10	9.9x10	NUM
fumecheng-6927	370	3	-	-	SYM
fumecheng-6927	370	4	5	5	NUM
fumecheng-6927	370	5	s	s	NOUN
fumecheng-6927	370	6	;	;	PUNCT
fumecheng-6927	370	7	9.9x10	9.9x10	X
fumecheng-6927	370	8	-	-	SYM
fumecheng-6927	370	9	6	6	NUM
fumecheng-6927	370	10	s	s	NOUN
fumecheng-6927	370	11	and	and	CCONJ
fumecheng-6927	370	12	9.9x10	9.9x10	NOUN
fumecheng-6927	370	13	-	-	SYM
fumecheng-6927	370	14	7	7	NUM
fumecheng-6927	370	15	s	s	NOUN
fumecheng-6927	370	16	and	and	CCONJ
fumecheng-6927	370	17	plotted	plot	VERB
fumecheng-6927	370	18	with	with	ADP
fumecheng-6927	370	19	different	different	ADJ
fumecheng-6927	370	20	colors	color	NOUN
fumecheng-6927	370	21	as	as	SCONJ
fumecheng-6927	370	22	indicated	indicate	VERB
fumecheng-6927	370	23	in	in	ADP
fumecheng-6927	370	24	the	the	DET
fumecheng-6927	370	25	figure	figure	NOUN
fumecheng-6927	370	26	’s	’s	PART
fumecheng-6927	370	27	legend	legend	NOUN
fumecheng-6927	370	28	.	.	PUNCT
fumecheng-6927	371	1	these	these	DET
fumecheng-6927	371	2	results	result	NOUN
fumecheng-6927	371	3	are	be	AUX
fumecheng-6927	371	4	compared	compare	VERB
fumecheng-6927	371	5	with	with	ADP
fumecheng-6927	371	6	eq	eq	NOUN
fumecheng-6927	371	7	.	.	PUNCT
fumecheng-6927	372	1	(	(	PUNCT
fumecheng-6927	372	2	53	53	NUM
fumecheng-6927	372	3	)	)	PUNCT
fumecheng-6927	372	4	(	(	PUNCT
fumecheng-6927	372	5	lhs	lhs	PROPN
fumecheng-6927	372	6	)	)	PUNCT
fumecheng-6927	372	7	,	,	PUNCT
fumecheng-6927	372	8	which	which	PRON
fumecheng-6927	372	9	is	be	AUX
fumecheng-6927	372	10	plotted	plot	VERB
fumecheng-6927	372	11	with	with	ADP
fumecheng-6927	372	12	purple	purple	ADJ
fumecheng-6927	372	13	stars	star	NOUN
fumecheng-6927	372	14	.	.	PUNCT
fumecheng-6927	373	1	it	it	PRON
fumecheng-6927	373	2	can	can	AUX
fumecheng-6927	373	3	be	be	AUX
fumecheng-6927	373	4	observed	observe	VERB
fumecheng-6927	373	5	that	that	SCONJ
fumecheng-6927	373	6	a	a	DET
fumecheng-6927	373	7	time	time	NOUN
fumecheng-6927	373	8	step	step	NOUN
fumecheng-6927	373	9	of	of	ADP
fumecheng-6927	373	10	approximately	approximately	ADV
fumecheng-6927	373	11	9.9x10	9.9x10	NUM
fumecheng-6927	373	12	-	-	SYM
fumecheng-6927	373	13	7	7	NUM
fumecheng-6927	373	14	s	s	NOUN
fumecheng-6927	373	15	has	have	VERB
fumecheng-6927	373	16	to	to	PART
fumecheng-6927	373	17	be	be	AUX
fumecheng-6927	373	18	passed	pass	VERB
fumecheng-6927	373	19	to	to	ADP
fumecheng-6927	373	20	the	the	DET
fumecheng-6927	373	21	convolution	convolution	NOUN
fumecheng-6927	373	22	integral	integral	ADJ
fumecheng-6927	373	23	(	(	PUNCT
fumecheng-6927	373	24	rhs	rhs	PROPN
fumecheng-6927	373	25	,	,	PUNCT
fumecheng-6927	373	26	eq	eq	NOUN
fumecheng-6927	373	27	.	.	PUNCT
fumecheng-6927	374	1	(	(	PUNCT
fumecheng-6927	374	2	53	53	NUM
fumecheng-6927	374	3	)	)	PUNCT
fumecheng-6927	374	4	)	)	PUNCT
fumecheng-6927	375	1	in	in	ADP
fumecheng-6927	375	2	order	order	NOUN
fumecheng-6927	375	3	to	to	PART
fumecheng-6927	375	4	match	match	VERB
fumecheng-6927	375	5	the	the	DET
fumecheng-6927	375	6	results	result	NOUN
fumecheng-6927	375	7	from	from	ADP
fumecheng-6927	375	8	the	the	DET
fumecheng-6927	375	9	simulations	simulation	NOUN
fumecheng-6927	375	10	(	(	PUNCT
fumecheng-6927	375	11	lhs	lhs	PROPN
fumecheng-6927	375	12	,	,	PUNCT
fumecheng-6927	375	13	eq	eq	NOUN
fumecheng-6927	375	14	.	.	PUNCT
fumecheng-6927	376	1	(	(	PUNCT
fumecheng-6927	376	2	52	52	NUM
fumecheng-6927	376	3	)	)	PUNCT
fumecheng-6927	376	4	)	)	PUNCT
fumecheng-6927	376	5	.	.	PUNCT
fumecheng-6927	377	1	note	note	VERB
fumecheng-6927	377	2	how	how	SCONJ
fumecheng-6927	377	3	the	the	DET
fumecheng-6927	377	4	yellow	yellow	ADJ
fumecheng-6927	377	5	line	line	NOUN
fumecheng-6927	377	6	matches	match	VERB
fumecheng-6927	377	7	the	the	DET
fumecheng-6927	377	8	purple	purple	ADJ
fumecheng-6927	377	9	star	star	NOUN
fumecheng-6927	377	10	markers	marker	NOUN
fumecheng-6927	377	11	.	.	PUNCT
fumecheng-6927	378	1	𝑈(𝑡	𝑈(𝑡	NUM
fumecheng-6927	378	2	)	)	PUNCT
fumecheng-6927	378	3	=	=	SYM
fumecheng-6927	379	1	𝐽𝑔	𝐽𝑔	PROPN
fumecheng-6927	379	2	+	+	PROPN
fumecheng-6927	379	3	∑	∑	PUNCT
fumecheng-6927	379	4	𝐽𝑛	𝐽𝑛	PROPN
fumecheng-6927	379	5	𝜏𝑛	𝜏𝑛	ADP
fumecheng-6927	379	6	𝑒−𝑡/𝜏𝑛	𝑒−𝑡/𝜏𝑛	PROPN
fumecheng-6927	379	7	𝑛	𝑛	PROPN
fumecheng-6927	379	8	is	be	AUX
fumecheng-6927	379	9	the	the	DET
fumecheng-6927	379	10	retardance	retardance	NOUN
fumecheng-6927	379	11	of	of	ADP
fumecheng-6927	379	12	the	the	DET
fumecheng-6927	379	13	material	material	NOUN
fumecheng-6927	379	14	,	,	PUNCT
fumecheng-6927	379	15	h	h	NOUN
fumecheng-6927	379	16	is	be	AUX
fumecheng-6927	379	17	the	the	DET
fumecheng-6927	379	18	indentation	indentation	NOUN
fumecheng-6927	379	19	,	,	PUNCT
fumecheng-6927	379	20	f(t	f(t	PROPN
fumecheng-6927	379	21	)	)	PUNCT
fumecheng-6927	379	22	the	the	DET
fumecheng-6927	379	23	force	force	NOUN
fumecheng-6927	379	24	,	,	PUNCT
fumecheng-6927	379	25	the	the	DET
fumecheng-6927	379	26	integration	integration	NOUN
fumecheng-6927	379	27	variable	variable	NOUN
fumecheng-6927	379	28	,	,	PUNCT
fumecheng-6927	379	29	and	and	CCONJ
fumecheng-6927	379	30	the	the	DET
fumecheng-6927	379	31	coefficient	coefficient	NOUN
fumecheng-6927	379	32	is	be	AUX
fumecheng-6927	379	33	=	=	ADJ
fumecheng-6927	379	34	16√𝑅	16√𝑅	NUM
fumecheng-6927	379	35	3	3	NUM
fumecheng-6927	379	36	.	.	PUNCT
fumecheng-6927	380	1	4	4	X
fumecheng-6927	380	2	.	.	X
fumecheng-6927	380	3	conclusion	conclusion	NOUN
fumecheng-6927	380	4	we	we	PRON
fumecheng-6927	380	5	have	have	AUX
fumecheng-6927	380	6	outlined	outline	VERB
fumecheng-6927	380	7	detailed	detailed	ADJ
fumecheng-6927	380	8	guidelines	guideline	NOUN
fumecheng-6927	380	9	for	for	ADP
fumecheng-6927	380	10	implementing	implement	VERB
fumecheng-6927	380	11	linear	linear	ADJ
fumecheng-6927	380	12	viscoelastic	viscoelastic	ADJ
fumecheng-6927	380	13	simulations	simulation	NOUN
fumecheng-6927	380	14	in	in	ADP
fumecheng-6927	380	15	the	the	DET
fumecheng-6927	380	16	context	context	NOUN
fumecheng-6927	380	17	of	of	ADP
fumecheng-6927	380	18	afm	afm	PROPN
fumecheng-6927	380	19	force	force	NOUN
fumecheng-6927	380	20	-	-	PUNCT
fumecheng-6927	380	21	distance	distance	NOUN
fumecheng-6927	380	22	curve	curve	NOUN
fumecheng-6927	380	23	methods	method	NOUN
fumecheng-6927	380	24	,	,	PUNCT
fumecheng-6927	380	25	where	where	SCONJ
fumecheng-6927	380	26	an	an	DET
fumecheng-6927	380	27	indenter	indenter	NOUN
fumecheng-6927	380	28	deforms	deform	VERB
fumecheng-6927	380	29	a	a	DET
fumecheng-6927	380	30	linear	linear	ADJ
fumecheng-6927	380	31	viscoelastic	viscoelastic	NOUN
fumecheng-6927	380	32	material	material	NOUN
fumecheng-6927	380	33	.	.	PUNCT
fumecheng-6927	381	1	the	the	DET
fumecheng-6927	381	2	manuscript	manuscript	NOUN
fumecheng-6927	381	3	has	have	AUX
fumecheng-6927	381	4	been	be	AUX
fumecheng-6927	381	5	written	write	VERB
fumecheng-6927	381	6	in	in	ADP
fumecheng-6927	381	7	a	a	DET
fumecheng-6927	381	8	practical	practical	ADJ
fumecheng-6927	381	9	manner	manner	NOUN
fumecheng-6927	381	10	in	in	ADP
fumecheng-6927	381	11	an	an	DET
fumecheng-6927	381	12	effort	effort	NOUN
fumecheng-6927	381	13	to	to	PART
fumecheng-6927	381	14	make	make	VERB
fumecheng-6927	381	15	it	it	PRON
fumecheng-6927	381	16	accessible	accessible	ADJ
fumecheng-6927	381	17	to	to	ADP
fumecheng-6927	381	18	a	a	DET
fumecheng-6927	381	19	broad	broad	ADJ
fumecheng-6927	381	20	audience	audience	NOUN
fumecheng-6927	381	21	of	of	ADP
fumecheng-6927	381	22	researchers	researcher	NOUN
fumecheng-6927	381	23	and	and	CCONJ
fumecheng-6927	381	24	students	student	NOUN
fumecheng-6927	381	25	of	of	ADP
fumecheng-6927	381	26	different	different	ADJ
fumecheng-6927	381	27	disciplines	discipline	NOUN
fumecheng-6927	381	28	.	.	PUNCT
fumecheng-6927	382	1	in	in	ADP
fumecheng-6927	382	2	this	this	DET
fumecheng-6927	382	3	spirit	spirit	NOUN
fumecheng-6927	382	4	,	,	PUNCT
fumecheng-6927	382	5	procedural	procedural	ADJ
fumecheng-6927	382	6	details	detail	NOUN
fumecheng-6927	382	7	have	have	AUX
fumecheng-6927	382	8	been	be	AUX
fumecheng-6927	382	9	prioritized	prioritize	VERB
fumecheng-6927	382	10	over	over	ADP
fumecheng-6927	382	11	mathematical	mathematical	ADJ
fumecheng-6927	382	12	details	detail	NOUN
fumecheng-6927	382	13	,	,	PUNCT
fumecheng-6927	382	14	for	for	ADP
fumecheng-6927	382	15	which	which	PRON
fumecheng-6927	382	16	the	the	DET
fumecheng-6927	382	17	user	user	NOUN
fumecheng-6927	382	18	has	have	AUX
fumecheng-6927	382	19	been	be	AUX
fumecheng-6927	382	20	referred	refer	VERB
fumecheng-6927	382	21	to	to	ADP
fumecheng-6927	382	22	relevant	relevant	ADJ
fumecheng-6927	382	23	literature	literature	NOUN
fumecheng-6927	382	24	.	.	PUNCT
fumecheng-6927	383	1	specifically	specifically	ADV
fumecheng-6927	383	2	,	,	PUNCT
fumecheng-6927	383	3	we	we	PRON
fumecheng-6927	383	4	have	have	AUX
fumecheng-6927	383	5	provided	provide	VERB
fumecheng-6927	383	6	detailed	detailed	ADJ
fumecheng-6927	383	7	explanations	explanation	NOUN
fumecheng-6927	383	8	for	for	ADP
fumecheng-6927	383	9	setting	set	VERB
fumecheng-6927	383	10	up	up	ADP
fumecheng-6927	383	11	the	the	DET
fumecheng-6927	383	12	governing	govern	VERB
fumecheng-6927	383	13	equation	equation	NOUN
fumecheng-6927	383	14	ruling	rule	VERB
fumecheng-6927	383	15	the	the	DET
fumecheng-6927	383	16	behavior	behavior	NOUN
fumecheng-6927	383	17	of	of	ADP
fumecheng-6927	383	18	the	the	DET
fumecheng-6927	383	19	linear	linear	ADJ
fumecheng-6927	383	20	viscoelastic	viscoelastic	NOUN
fumecheng-6927	383	21	material	material	NOUN
fumecheng-6927	383	22	being	be	AUX
fumecheng-6927	383	23	indented	indent	VERB
fumecheng-6927	383	24	,	,	PUNCT
fumecheng-6927	383	25	and	and	CCONJ
fumecheng-6927	383	26	the	the	DET
fumecheng-6927	383	27	subsequent	subsequent	ADJ
fumecheng-6927	383	28	numerical	numerical	ADJ
fumecheng-6927	383	29	solution	solution	NOUN
fumecheng-6927	383	30	of	of	ADP
fumecheng-6927	383	31	this	this	DET
fumecheng-6927	383	32	equation	equation	NOUN
fumecheng-6927	383	33	.	.	PUNCT
fumecheng-6927	384	1	for	for	ADP
fumecheng-6927	384	2	the	the	DET
fumecheng-6927	384	3	numerical	numerical	ADJ
fumecheng-6927	384	4	solutions	solution	NOUN
fumecheng-6927	384	5	,	,	PUNCT
fumecheng-6927	384	6	we	we	PRON
fumecheng-6927	384	7	have	have	AUX
fumecheng-6927	384	8	provided	provide	VERB
fumecheng-6927	384	9	conceptual	conceptual	ADJ
fumecheng-6927	384	10	explanations	explanation	NOUN
fumecheng-6927	384	11	and	and	CCONJ
fumecheng-6927	384	12	given	give	VERB
fumecheng-6927	384	13	specific	specific	ADJ
fumecheng-6927	384	14	examples	example	NOUN
fumecheng-6927	384	15	,	,	PUNCT
fumecheng-6927	384	16	along	along	ADP
fumecheng-6927	384	17	with	with	ADP
fumecheng-6927	384	18	ready	ready	ADJ
fumecheng-6927	384	19	-	-	PUNCT
fumecheng-6927	384	20	to	to	PART
fumecheng-6927	384	21	-	-	PUNCT
fumecheng-6927	384	22	use	use	VERB
fumecheng-6927	384	23	python	python	NOUN
fumecheng-6927	384	24	codes	code	NOUN
fumecheng-6927	384	25	and	and	CCONJ
fumecheng-6927	384	26	excel	excel	VERB
fumecheng-6927	384	27	spreadsheets	spreadsheet	NOUN
fumecheng-6927	384	28	.	.	PUNCT
fumecheng-6927	385	1	despite	despite	SCONJ
fumecheng-6927	385	2	the	the	DET
fumecheng-6927	385	3	simplicity	simplicity	NOUN
fumecheng-6927	385	4	of	of	ADP
fumecheng-6927	385	5	the	the	DET
fumecheng-6927	385	6	presentation	presentation	NOUN
fumecheng-6927	385	7	we	we	PRON
fumecheng-6927	385	8	have	have	AUX
fumecheng-6927	385	9	not	not	PART
fumecheng-6927	385	10	sacrificed	sacrifice	VERB
fumecheng-6927	385	11	rigor	rigor	NOUN
fumecheng-6927	385	12	,	,	PUNCT
fumecheng-6927	385	13	as	as	SCONJ
fumecheng-6927	385	14	the	the	DET
fumecheng-6927	385	15	modeling	modeling	NOUN
fumecheng-6927	385	16	has	have	AUX
fumecheng-6927	385	17	been	be	AUX
fumecheng-6927	385	18	placed	place	VERB
fumecheng-6927	385	19	in	in	ADP
fumecheng-6927	385	20	the	the	DET
fumecheng-6927	385	21	context	context	NOUN
fumecheng-6927	385	22	of	of	ADP
fumecheng-6927	385	23	complex	complex	ADJ
fumecheng-6927	385	24	viscoelastic	viscoelastic	ADJ
fumecheng-6927	385	25	materials	material	NOUN
fumecheng-6927	385	26	possessing	possess	VERB
fumecheng-6927	385	27	multiple	multiple	ADJ
fumecheng-6927	385	28	characteristic	characteristic	ADJ
fumecheng-6927	385	29	times	time	NOUN
fumecheng-6927	385	30	.	.	PUNCT
fumecheng-6927	386	1	this	this	DET
fumecheng-6927	386	2	manuscript	manuscript	NOUN
fumecheng-6927	386	3	targets	target	VERB
fumecheng-6927	386	4	a	a	DET
fumecheng-6927	386	5	large	large	ADJ
fumecheng-6927	386	6	audience	audience	NOUN
fumecheng-6927	386	7	desiring	desire	VERB
fumecheng-6927	386	8	to	to	PART
fumecheng-6927	386	9	perform	perform	VERB
fumecheng-6927	386	10	analysis	analysis	NOUN
fumecheng-6927	386	11	and	and	CCONJ
fumecheng-6927	386	12	characterization	characterization	NOUN
fumecheng-6927	386	13	of	of	ADP
fumecheng-6927	386	14	viscoelastic	viscoelastic	ADJ
fumecheng-6927	386	15	materials	material	NOUN
fumecheng-6927	386	16	in	in	ADP
fumecheng-6927	386	17	a	a	DET
fumecheng-6927	386	18	rigorous	rigorous	ADJ
fumecheng-6927	386	19	manner	manner	NOUN
fumecheng-6927	386	20	,	,	PUNCT
fumecheng-6927	386	21	but	but	CCONJ
fumecheng-6927	386	22	having	have	VERB
fumecheng-6927	386	23	only	only	ADV
fumecheng-6927	386	24	a	a	DET
fumecheng-6927	386	25	moderate	moderate	ADJ
fumecheng-6927	386	26	background	background	NOUN
fumecheng-6927	386	27	in	in	ADP
fumecheng-6927	386	28	the	the	DET
fumecheng-6927	386	29	field	field	NOUN
fumecheng-6927	386	30	of	of	ADP
fumecheng-6927	386	31	linear	linear	ADJ
fumecheng-6927	386	32	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	386	33	.	.	PUNCT
fumecheng-6927	387	1	152	152	NUM
fumecheng-6927	387	2	m.	m.	NOUN
fumecheng-6927	387	3	forstenhaeusler	forstenhaeusler	NOUN
fumecheng-6927	387	4	,	,	PUNCT
fumecheng-6927	387	5	e.	e.	PROPN
fumecheng-6927	387	6	a.	a.	PROPN
fumecheng-6927	387	7	lópez	lópez	PROPN
fumecheng-6927	387	8	-	-	PUNCT
fumecheng-6927	387	9	guerra	guerra	PROPN
fumecheng-6927	387	10	,	,	PUNCT
fumecheng-6927	387	11	s.	s.	PROPN
fumecheng-6927	387	12	d.	d.	PROPN
fumecheng-6927	387	13	solares	solares	PROPN
fumecheng-6927	387	14	references	reference	NOUN
fumecheng-6927	387	15	1	1	NUM
fumecheng-6927	387	16	.	.	PUNCT
fumecheng-6927	388	1	ferry	ferry	NOUN
fumecheng-6927	388	2	,	,	PUNCT
fumecheng-6927	388	3	j.d	j.d	PROPN
fumecheng-6927	388	4	.	.	PROPN
fumecheng-6927	388	5	,	,	PUNCT
fumecheng-6927	388	6	1980	1980	NUM
fumecheng-6927	388	7	,	,	PUNCT
fumecheng-6927	388	8	viscoelastic	viscoelastic	ADJ
fumecheng-6927	388	9	properties	property	NOUN
fumecheng-6927	388	10	of	of	ADP
fumecheng-6927	388	11	polymers	polymer	NOUN
fumecheng-6927	388	12	,	,	PUNCT
fumecheng-6927	388	13	john	john	PROPN
fumecheng-6927	388	14	wiley	wiley	PROPN
fumecheng-6927	388	15	&	&	CCONJ
fumecheng-6927	388	16	sons	son	NOUN
fumecheng-6927	388	17	.	.	PUNCT
fumecheng-6927	389	1	2	2	X
fumecheng-6927	389	2	.	.	X
fumecheng-6927	389	3	tschoegl	tschoegl	PROPN
fumecheng-6927	389	4	,	,	PUNCT
fumecheng-6927	389	5	n.w	n.w	PROPN
fumecheng-6927	389	6	.	.	PROPN
fumecheng-6927	389	7	,	,	PUNCT
fumecheng-6927	389	8	2012	2012	NUM
fumecheng-6927	389	9	,	,	PUNCT
fumecheng-6927	389	10	the	the	DET
fumecheng-6927	389	11	phenomenological	phenomenological	ADJ
fumecheng-6927	389	12	theory	theory	NOUN
fumecheng-6927	389	13	of	of	ADP
fumecheng-6927	389	14	linear	linear	PROPN
fumecheng-6927	389	15	viscoelastic	viscoelastic	ADJ
fumecheng-6927	389	16	behaviour	behaviour	NOUN
fumecheng-6927	389	17	:	:	PUNCT
fumecheng-6927	389	18	an	an	DET
fumecheng-6927	389	19	introduction	introduction	NOUN
fumecheng-6927	389	20	,	,	PUNCT
fumecheng-6927	389	21	springer	springer	NOUN
fumecheng-6927	389	22	science	science	PROPN
fumecheng-6927	389	23	&	&	CCONJ
fumecheng-6927	389	24	business	business	NOUN
fumecheng-6927	389	25	media	medium	NOUN
fumecheng-6927	389	26	.	.	PUNCT
fumecheng-6927	390	1	3	3	X
fumecheng-6927	390	2	.	.	X
fumecheng-6927	390	3	rouse	rouse	VERB
fumecheng-6927	390	4	jr	jr	PROPN
fumecheng-6927	390	5	,	,	PUNCT
fumecheng-6927	390	6	p.e	p.e	PROPN
fumecheng-6927	390	7	.	.	PROPN
fumecheng-6927	390	8	,	,	PUNCT
fumecheng-6927	390	9	1953	1953	NUM
fumecheng-6927	390	10	,	,	PUNCT
fumecheng-6927	390	11	a	a	DET
fumecheng-6927	390	12	theory	theory	NOUN
fumecheng-6927	390	13	of	of	ADP
fumecheng-6927	390	14	the	the	DET
fumecheng-6927	390	15	linear	linear	ADJ
fumecheng-6927	390	16	viscoelastic	viscoelastic	ADJ
fumecheng-6927	390	17	properties	property	NOUN
fumecheng-6927	390	18	of	of	ADP
fumecheng-6927	390	19	dilute	dilute	ADJ
fumecheng-6927	390	20	solutions	solution	NOUN
fumecheng-6927	390	21	of	of	ADP
fumecheng-6927	390	22	coiling	coil	VERB
fumecheng-6927	390	23	polymers	polymer	NOUN
fumecheng-6927	390	24	,	,	PUNCT
fumecheng-6927	390	25	the	the	DET
fumecheng-6927	390	26	journal	journal	NOUN
fumecheng-6927	390	27	of	of	ADP
fumecheng-6927	390	28	chemical	chemical	PROPN
fumecheng-6927	390	29	physics	physics	PROPN
fumecheng-6927	390	30	,	,	PUNCT
fumecheng-6927	390	31	21(7	21(7	PROPN
fumecheng-6927	390	32	)	)	PUNCT
fumecheng-6927	390	33	,	,	PUNCT
fumecheng-6927	390	34	pp	pp	ADJ
fumecheng-6927	390	35	.	.	PUNCT
fumecheng-6927	391	1	1272	1272	NUM
fumecheng-6927	391	2	-	-	SYM
fumecheng-6927	391	3	1280	1280	NUM
fumecheng-6927	391	4	.	.	PUNCT
fumecheng-6927	392	1	4	4	X
fumecheng-6927	392	2	.	.	X
fumecheng-6927	392	3	plazek	plazek	NOUN
fumecheng-6927	392	4	,	,	PUNCT
fumecheng-6927	392	5	d.	d.	PROPN
fumecheng-6927	392	6	,	,	PUNCT
fumecheng-6927	392	7	1993	1993	NUM
fumecheng-6927	392	8	,	,	PUNCT
fumecheng-6927	392	9	breakdown	breakdown	NOUN
fumecheng-6927	392	10	of	of	ADP
fumecheng-6927	392	11	the	the	DET
fumecheng-6927	392	12	rouse	rouse	NOUN
fumecheng-6927	392	13	model	model	NOUN
fumecheng-6927	392	14	for	for	ADP
fumecheng-6927	392	15	polymers	polymer	NOUN
fumecheng-6927	392	16	near	near	ADP
fumecheng-6927	392	17	the	the	DET
fumecheng-6927	392	18	glass	glass	NOUN
fumecheng-6927	392	19	transition	transition	NOUN
fumecheng-6927	392	20	temperature	temperature	NOUN
fumecheng-6927	392	21	,	,	PUNCT
fumecheng-6927	392	22	the	the	DET
fumecheng-6927	392	23	journal	journal	NOUN
fumecheng-6927	392	24	of	of	ADP
fumecheng-6927	392	25	chemical	chemical	PROPN
fumecheng-6927	392	26	physics	physics	PROPN
fumecheng-6927	392	27	,	,	PUNCT
fumecheng-6927	392	28	98(8	98(8	NUM
fumecheng-6927	392	29	)	)	PUNCT
fumecheng-6927	392	30	,	,	PUNCT
fumecheng-6927	392	31	pp	pp	ADJ
fumecheng-6927	392	32	.	.	PUNCT
fumecheng-6927	393	1	6488	6488	NUM
fumecheng-6927	393	2	-	-	SYM
fumecheng-6927	393	3	6491	6491	NUM
fumecheng-6927	393	4	.	.	PUNCT
fumecheng-6927	394	1	5	5	X
fumecheng-6927	394	2	.	.	X
fumecheng-6927	394	3	roylance	roylance	NOUN
fumecheng-6927	394	4	,	,	PUNCT
fumecheng-6927	394	5	d.	d.	PROPN
fumecheng-6927	394	6	,	,	PUNCT
fumecheng-6927	394	7	2001	2001	NUM
fumecheng-6927	394	8	,	,	PUNCT
fumecheng-6927	394	9	engineering	engineering	NOUN
fumecheng-6927	394	10	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	394	11	,	,	PUNCT
fumecheng-6927	394	12	department	department	NOUN
fumecheng-6927	394	13	of	of	ADP
fumecheng-6927	394	14	materials	material	NOUN
fumecheng-6927	394	15	science	science	NOUN
fumecheng-6927	394	16	and	and	CCONJ
fumecheng-6927	394	17	engineering	engineering	PROPN
fumecheng-6927	394	18	–	–	PUNCT
fumecheng-6927	394	19	massachusetts	massachusetts	PROPN
fumecheng-6927	394	20	institute	institute	PROPN
fumecheng-6927	394	21	of	of	ADP
fumecheng-6927	394	22	technology	technology	PROPN
fumecheng-6927	394	23	,	,	PUNCT
fumecheng-6927	394	24	cambridge	cambridge	PROPN
fumecheng-6927	394	25	ma	ma	PROPN
fumecheng-6927	394	26	,	,	PUNCT
fumecheng-6927	394	27	2139	2139	NUM
fumecheng-6927	394	28	,	,	PUNCT
fumecheng-6927	394	29	pp	pp	ADJ
fumecheng-6927	394	30	.	.	PUNCT
fumecheng-6927	395	1	1	1	NUM
fumecheng-6927	395	2	-	-	SYM
fumecheng-6927	395	3	37	37	NUM
fumecheng-6927	395	4	.	.	NOUN
fumecheng-6927	396	1	6	6	NUM
fumecheng-6927	396	2	.	.	X
fumecheng-6927	397	1	gordon	gordon	PROPN
fumecheng-6927	397	2	,	,	PUNCT
fumecheng-6927	397	3	v.d	v.d	PROPN
fumecheng-6927	397	4	.	.	PROPN
fumecheng-6927	397	5	,	,	PUNCT
fumecheng-6927	397	6	2017	2017	NUM
fumecheng-6927	397	7	,	,	PUNCT
fumecheng-6927	397	8	biofilms	biofilm	NOUN
fumecheng-6927	397	9	and	and	CCONJ
fumecheng-6927	397	10	mechanics	mechanic	NOUN
fumecheng-6927	397	11	:	:	PUNCT
fumecheng-6927	397	12	a	a	DET
fumecheng-6927	397	13	review	review	NOUN
fumecheng-6927	397	14	of	of	ADP
fumecheng-6927	397	15	experimental	experimental	ADJ
fumecheng-6927	397	16	techniques	technique	NOUN
fumecheng-6927	397	17	and	and	CCONJ
fumecheng-6927	397	18	findings	finding	NOUN
fumecheng-6927	397	19	,	,	PUNCT
fumecheng-6927	397	20	journal	journal	NOUN
fumecheng-6927	397	21	of	of	ADP
fumecheng-6927	397	22	physics	physics	PROPN
fumecheng-6927	397	23	d	d	PROPN
fumecheng-6927	397	24	:	:	PUNCT
fumecheng-6927	397	25	applied	applied	ADJ
fumecheng-6927	397	26	physics	physics	NOUN
fumecheng-6927	397	27	,	,	PUNCT
fumecheng-6927	397	28	50(22	50(22	NUM
fumecheng-6927	397	29	)	)	PUNCT
fumecheng-6927	397	30	,	,	PUNCT
fumecheng-6927	397	31	223002	223002	NUM
fumecheng-6927	397	32	.	.	PUNCT
fumecheng-6927	398	1	7	7	X
fumecheng-6927	398	2	.	.	X
fumecheng-6927	398	3	kovach	kovach	PROPN
fumecheng-6927	398	4	,	,	PUNCT
fumecheng-6927	398	5	k.	k.	PROPN
fumecheng-6927	398	6	,	,	PUNCT
fumecheng-6927	398	7	2017	2017	NUM
fumecheng-6927	398	8	,	,	PUNCT
fumecheng-6927	398	9	evolutionary	evolutionary	ADJ
fumecheng-6927	398	10	adaptations	adaptation	NOUN
fumecheng-6927	398	11	of	of	ADP
fumecheng-6927	398	12	biofilms	biofilm	NOUN
fumecheng-6927	398	13	infecting	infect	VERB
fumecheng-6927	398	14	cystic	cystic	ADJ
fumecheng-6927	398	15	fibrosis	fibrosis	NOUN
fumecheng-6927	398	16	lungs	lung	NOUN
fumecheng-6927	398	17	promote	promote	VERB
fumecheng-6927	398	18	mechanical	mechanical	ADJ
fumecheng-6927	398	19	toughness	toughness	NOUN
fumecheng-6927	398	20	by	by	ADP
fumecheng-6927	398	21	adjusting	adjust	VERB
fumecheng-6927	398	22	polysaccharide	polysaccharide	NOUN
fumecheng-6927	398	23	production	production	NOUN
fumecheng-6927	398	24	,	,	PUNCT
fumecheng-6927	398	25	npj	npj	NOUN
fumecheng-6927	398	26	biofilms	biofilm	NOUN
fumecheng-6927	398	27	and	and	CCONJ
fumecheng-6927	398	28	microbiomes	microbiome	NOUN
fumecheng-6927	398	29	,	,	PUNCT
fumecheng-6927	398	30	3(1	3(1	NUM
fumecheng-6927	398	31	)	)	PUNCT
fumecheng-6927	398	32	,	,	PUNCT
fumecheng-6927	398	33	1	1	NUM
fumecheng-6927	398	34	.	.	NOUN
fumecheng-6927	398	35	8	8	NUM
fumecheng-6927	398	36	.	.	PUNCT
fumecheng-6927	399	1	lópez	lópez	NOUN
fumecheng-6927	399	2	-	-	PUNCT
fumecheng-6927	399	3	guerra	guerra	PROPN
fumecheng-6927	399	4	,	,	PUNCT
fumecheng-6927	399	5	e.a	e.a	PROPN
fumecheng-6927	399	6	.	.	PROPN
fumecheng-6927	399	7	,	,	PUNCT
fumecheng-6927	399	8	shen	shen	PROPN
fumecheng-6927	399	9	h.	h.	PROPN
fumecheng-6927	399	10	,	,	PUNCT
fumecheng-6927	399	11	solares	solares	PROPN
fumecheng-6927	399	12	,	,	PUNCT
fumecheng-6927	399	13	s.d	s.d	PROPN
fumecheng-6927	399	14	.	.	PROPN
fumecheng-6927	399	15	,	,	PUNCT
fumecheng-6927	399	16	shuai	shuai	PROPN
fumecheng-6927	399	17	,	,	PUNCT
fumecheng-6927	399	18	d.	d.	PROPN
fumecheng-6927	399	19	,	,	PUNCT
fumecheng-6927	399	20	2019	2019	NUM
fumecheng-6927	399	21	,	,	PUNCT
fumecheng-6927	399	22	acquisition	acquisition	NOUN
fumecheng-6927	399	23	of	of	ADP
fumecheng-6927	399	24	time	time	NOUN
fumecheng-6927	399	25	–	–	PUNCT
fumecheng-6927	399	26	frequency	frequency	NOUN
fumecheng-6927	399	27	localized	localize	VERB
fumecheng-6927	399	28	mechanical	mechanical	ADJ
fumecheng-6927	399	29	properties	property	NOUN
fumecheng-6927	399	30	of	of	ADP
fumecheng-6927	399	31	biofilms	biofilm	NOUN
fumecheng-6927	399	32	and	and	CCONJ
fumecheng-6927	399	33	single	single	ADJ
fumecheng-6927	399	34	cells	cell	NOUN
fumecheng-6927	399	35	with	with	ADP
fumecheng-6927	399	36	high	high	ADJ
fumecheng-6927	399	37	spatial	spatial	ADJ
fumecheng-6927	399	38	resolution	resolution	NOUN
fumecheng-6927	399	39	,	,	PUNCT
fumecheng-6927	399	40	nanoscale	nanoscale	NOUN
fumecheng-6927	399	41	,	,	PUNCT
fumecheng-6927	399	42	11(18	11(18	NUM
fumecheng-6927	399	43	)	)	PUNCT
fumecheng-6927	399	44	,	,	PUNCT
fumecheng-6927	399	45	pp	pp	ADJ
fumecheng-6927	399	46	.	.	PUNCT
fumecheng-6927	399	47	89188929	89188929	NUM
fumecheng-6927	399	48	.	.	PUNCT
fumecheng-6927	400	1	9	9	X
fumecheng-6927	400	2	.	.	X
fumecheng-6927	400	3	shen	shen	PROPN
fumecheng-6927	400	4	,	,	PUNCT
fumecheng-6927	400	5	h.	h.	PROPN
fumecheng-6927	400	6	,	,	PUNCT
fumecheng-6927	400	7	lópez	lópez	ADV
fumecheng-6927	400	8	-	-	PUNCT
fumecheng-6927	400	9	guerra	guerra	NOUN
fumecheng-6927	400	10	,	,	PUNCT
fumecheng-6927	400	11	e.a	e.a	PROPN
fumecheng-6927	400	12	.	.	PROPN
fumecheng-6927	400	13	,	,	PUNCT
fumecheng-6927	400	14	zhu	zhu	PROPN
fumecheng-6927	400	15	,	,	PUNCT
fumecheng-6927	400	16	r.	r.	PROPN
fumecheng-6927	400	17	,	,	PUNCT
fumecheng-6927	400	18	diba	diba	PROPN
fumecheng-6927	400	19	,	,	PUNCT
fumecheng-6927	400	20	t.	t.	PROPN
fumecheng-6927	400	21	,	,	PUNCT
fumecheng-6927	400	22	zheng	zheng	PROPN
fumecheng-6927	400	23	,	,	PUNCT
fumecheng-6927	400	24	q.	q.	PROPN
fumecheng-6927	400	25	,	,	PUNCT
fumecheng-6927	400	26	solares	solares	PROPN
fumecheng-6927	400	27	,	,	PUNCT
fumecheng-6927	400	28	s.d	s.d	PROPN
fumecheng-6927	400	29	.	.	PROPN
fumecheng-6927	400	30	,	,	PUNCT
fumecheng-6927	400	31	zara	zara	PROPN
fumecheng-6927	400	32	,	,	PUNCT
fumecheng-6927	400	33	j.m	j.m	PROPN
fumecheng-6927	400	34	.	.	PROPN
fumecheng-6927	400	35	,	,	PUNCT
fumecheng-6927	400	36	shuai	shuai	PROPN
fumecheng-6927	400	37	,	,	PUNCT
fumecheng-6927	400	38	d.	d.	PROPN
fumecheng-6927	400	39	,	,	PUNCT
fumecheng-6927	400	40	shen	shen	PROPN
fumecheng-6927	400	41	,	,	PUNCT
fumecheng-6927	400	42	y.	y.	PROPN
fumecheng-6927	400	43	,	,	PUNCT
fumecheng-6927	400	44	2018	2018	NUM
fumecheng-6927	400	45	,	,	PUNCT
fumecheng-6927	400	46	visible	visible	ADJ
fumecheng-6927	400	47	-	-	PUNCT
fumecheng-6927	400	48	light	light	ADJ
fumecheng-6927	400	49	-	-	PUNCT
fumecheng-6927	400	50	responsive	responsive	ADJ
fumecheng-6927	400	51	photocatalyst	photocatalyst	NOUN
fumecheng-6927	400	52	of	of	ADP
fumecheng-6927	400	53	graphitic	graphitic	ADJ
fumecheng-6927	400	54	carbon	carbon	NOUN
fumecheng-6927	400	55	nitride	nitride	NOUN
fumecheng-6927	400	56	for	for	ADP
fumecheng-6927	400	57	pathogenic	pathogenic	ADJ
fumecheng-6927	400	58	biofilm	biofilm	NOUN
fumecheng-6927	400	59	control	control	NOUN
fumecheng-6927	400	60	,	,	PUNCT
fumecheng-6927	400	61	acs	acs	PROPN
fumecheng-6927	400	62	applied	apply	VERB
fumecheng-6927	400	63	materials	material	NOUN
fumecheng-6927	400	64	&	&	CCONJ
fumecheng-6927	400	65	interfaces	interface	NOUN
fumecheng-6927	400	66	,	,	PUNCT
fumecheng-6927	400	67	11(1	11(1	NUM
fumecheng-6927	400	68	)	)	PUNCT
fumecheng-6927	400	69	,	,	PUNCT
fumecheng-6927	400	70	pp	pp	ADP
fumecheng-6927	400	71	.	.	PUNCT
fumecheng-6927	401	1	373	373	NUM
fumecheng-6927	401	2	-	-	SYM
fumecheng-6927	401	3	384	384	NUM
fumecheng-6927	401	4	.	.	PUNCT
fumecheng-6927	401	5	10	10	NUM
fumecheng-6927	401	6	.	.	PUNCT
fumecheng-6927	402	1	krisenko	krisenko	PROPN
fumecheng-6927	402	2	,	,	PUNCT
fumecheng-6927	402	3	m.o	m.o	PROPN
fumecheng-6927	402	4	.	.	PROPN
fumecheng-6927	402	5	,	,	PUNCT
fumecheng-6927	402	6	cartagena	cartagena	PROPN
fumecheng-6927	402	7	,	,	PUNCT
fumecheng-6927	402	8	a.	a.	PROPN
fumecheng-6927	402	9	,	,	PUNCT
fumecheng-6927	402	10	raman	raman	NOUN
fumecheng-6927	402	11	,	,	PUNCT
fumecheng-6927	402	12	a.	a.	NOUN
fumecheng-6927	402	13	,	,	PUNCT
fumecheng-6927	402	14	geahlen	geahlen	ADJ
fumecheng-6927	402	15	,	,	PUNCT
fumecheng-6927	402	16	r.l	r.l	PROPN
fumecheng-6927	402	17	.	.	PROPN
fumecheng-6927	402	18	,	,	PUNCT
fumecheng-6927	402	19	2015	2015	NUM
fumecheng-6927	402	20	,	,	PUNCT
fumecheng-6927	402	21	nanomechanical	nanomechanical	ADJ
fumecheng-6927	402	22	property	property	NOUN
fumecheng-6927	402	23	maps	map	NOUN
fumecheng-6927	402	24	of	of	ADP
fumecheng-6927	402	25	breast	breast	NOUN
fumecheng-6927	402	26	cancer	cancer	NOUN
fumecheng-6927	402	27	cells	cell	NOUN
fumecheng-6927	402	28	as	as	SCONJ
fumecheng-6927	402	29	determined	determine	VERB
fumecheng-6927	402	30	by	by	ADP
fumecheng-6927	402	31	multiharmonic	multiharmonic	PROPN
fumecheng-6927	402	32	atomic	atomic	ADJ
fumecheng-6927	402	33	force	force	NOUN
fumecheng-6927	402	34	microscopy	microscopy	NOUN
fumecheng-6927	402	35	reveal	reveal	VERB
fumecheng-6927	402	36	syk	syk	NOUN
fumecheng-6927	402	37	-	-	PUNCT
fumecheng-6927	402	38	dependent	dependent	ADJ
fumecheng-6927	402	39	changes	change	NOUN
fumecheng-6927	402	40	in	in	ADP
fumecheng-6927	402	41	microtubule	microtubule	NOUN
fumecheng-6927	402	42	stability	stability	NOUN
fumecheng-6927	402	43	mediated	mediate	VERB
fumecheng-6927	402	44	by	by	ADP
fumecheng-6927	402	45	map1b	map1b	PROPN
fumecheng-6927	402	46	,	,	PUNCT
fumecheng-6927	402	47	biochemistry	biochemistry	NOUN
fumecheng-6927	402	48	,	,	PUNCT
fumecheng-6927	402	49	54(1	54(1	NUM
fumecheng-6927	402	50	)	)	PUNCT
fumecheng-6927	402	51	,	,	PUNCT
fumecheng-6927	402	52	pp	pp	ADJ
fumecheng-6927	402	53	.	.	PUNCT
fumecheng-6927	403	1	60	60	NUM
fumecheng-6927	403	2	-	-	SYM
fumecheng-6927	403	3	68	68	NUM
fumecheng-6927	403	4	.	.	PUNCT
fumecheng-6927	404	1	11	11	NUM
fumecheng-6927	404	2	.	.	PUNCT
fumecheng-6927	405	1	lekka	lekka	NOUN
fumecheng-6927	405	2	,	,	PUNCT
fumecheng-6927	405	3	m.	m.	NOUN
fumecheng-6927	405	4	,	,	PUNCT
fumecheng-6927	405	5	laidler	laidler	NOUN
fumecheng-6927	405	6	,	,	PUNCT
fumecheng-6927	405	7	p.	p.	NOUN
fumecheng-6927	405	8	,	,	PUNCT
fumecheng-6927	405	9	2016	2016	NUM
fumecheng-6927	405	10	,	,	PUNCT
fumecheng-6927	405	11	applicability	applicability	NOUN
fumecheng-6927	405	12	of	of	ADP
fumecheng-6927	405	13	afm	afm	PROPN
fumecheng-6927	405	14	in	in	ADP
fumecheng-6927	405	15	cancer	cancer	NOUN
fumecheng-6927	405	16	detection	detection	NOUN
fumecheng-6927	405	17	,	,	PUNCT
fumecheng-6927	405	18	nature	nature	NOUN
fumecheng-6927	405	19	nanotechnology	nanotechnology	NOUN
fumecheng-6927	405	20	,	,	PUNCT
fumecheng-6927	405	21	4(2	4(2	NUM
fumecheng-6927	405	22	)	)	PUNCT
fumecheng-6927	405	23	,	,	PUNCT
fumecheng-6927	405	24	pp	pp	ADP
fumecheng-6927	405	25	.	.	PUNCT
fumecheng-6927	406	1	72	72	NUM
fumecheng-6927	406	2	-	-	SYM
fumecheng-6927	406	3	72	72	NUM
fumecheng-6927	406	4	.	.	PUNCT
fumecheng-6927	407	1	12	12	NUM
fumecheng-6927	407	2	.	.	PUNCT
fumecheng-6927	408	1	plodinec	plodinec	NOUN
fumecheng-6927	408	2	,	,	PUNCT
fumecheng-6927	408	3	m.	m.	NOUN
fumecheng-6927	408	4	,	,	PUNCT
fumecheng-6927	408	5	loparic	loparic	ADJ
fumecheng-6927	408	6	,	,	PUNCT
fumecheng-6927	408	7	m.	m.	NOUN
fumecheng-6927	408	8	,	,	PUNCT
fumecheng-6927	408	9	monnier	monnier	NOUN
fumecheng-6927	408	10	,	,	PUNCT
fumecheng-6927	408	11	c.a	c.a	PROPN
fumecheng-6927	408	12	.	.	PROPN
fumecheng-6927	408	13	,	,	PUNCT
fumecheng-6927	408	14	obermann	obermann	PROPN
fumecheng-6927	408	15	,	,	PUNCT
fumecheng-6927	408	16	e.c	e.c	PROPN
fumecheng-6927	408	17	.	.	PROPN
fumecheng-6927	408	18	,	,	PUNCT
fumecheng-6927	408	19	zanetti	zanetti	NOUN
fumecheng-6927	408	20	-	-	PUNCT
fumecheng-6927	408	21	dallenbach	dallenbach	PROPN
fumecheng-6927	408	22	,	,	PUNCT
fumecheng-6927	408	23	r.	r.	PROPN
fumecheng-6927	408	24	,	,	PUNCT
fumecheng-6927	408	25	oertle	oertle	ADV
fumecheng-6927	408	26	,	,	PUNCT
fumecheng-6927	408	27	p.	p.	NOUN
fumecheng-6927	408	28	,	,	PUNCT
fumecheng-6927	408	29	hyotyla	hyotyla	PROPN
fumecheng-6927	408	30	,	,	PUNCT
fumecheng-6927	408	31	j.t	j.t	PROPN
fumecheng-6927	408	32	.	.	PROPN
fumecheng-6927	408	33	,	,	PUNCT
fumecheng-6927	408	34	aebi	aebi	ADJ
fumecheng-6927	408	35	,	,	PUNCT
fumecheng-6927	408	36	u.	u.	PROPN
fumecheng-6927	408	37	,	,	PUNCT
fumecheng-6927	408	38	bentires	bentire	NOUN
fumecheng-6927	408	39	-	-	PUNCT
fumecheng-6927	408	40	alj	alj	NOUN
fumecheng-6927	408	41	,	,	PUNCT
fumecheng-6927	408	42	m.	m.	NOUN
fumecheng-6927	408	43	,	,	PUNCT
fumecheng-6927	408	44	lim	lim	PROPN
fumecheng-6927	408	45	,	,	PUNCT
fumecheng-6927	408	46	r.y	r.y	PROPN
fumecheng-6927	408	47	.	.	PROPN
fumecheng-6927	408	48	,schoenenberger	,schoenenberger	PROPN
fumecheng-6927	408	49	,	,	PUNCT
fumecheng-6927	408	50	c.a	c.a	PROPN
fumecheng-6927	408	51	.	.	PROPN
fumecheng-6927	408	52	,	,	PUNCT
fumecheng-6927	408	53	2012	2012	NUM
fumecheng-6927	408	54	,	,	PUNCT
fumecheng-6927	408	55	the	the	DET
fumecheng-6927	408	56	nanomechanical	nanomechanical	ADJ
fumecheng-6927	408	57	signature	signature	NOUN
fumecheng-6927	408	58	of	of	ADP
fumecheng-6927	408	59	breast	breast	NOUN
fumecheng-6927	408	60	cancer	cancer	NOUN
fumecheng-6927	408	61	,	,	PUNCT
fumecheng-6927	408	62	nature	nature	NOUN
fumecheng-6927	408	63	nanotechnology,7(11	nanotechnology,7(11	PROPN
fumecheng-6927	408	64	)	)	PUNCT
fumecheng-6927	408	65	,	,	PUNCT
fumecheng-6927	408	66	pp	pp	ADP
fumecheng-6927	408	67	.	.	PUNCT
fumecheng-6927	409	1	757	757	PROPN
fumecheng-6927	409	2	-	-	SYM
fumecheng-6927	409	3	765	765	NUM
fumecheng-6927	409	4	.	.	PUNCT
fumecheng-6927	410	1	13	13	NUM
fumecheng-6927	410	2	.	.	PUNCT
fumecheng-6927	411	1	arrechea	arrechea	PROPN
fumecheng-6927	411	2	,	,	PUNCT
fumecheng-6927	411	3	s.	s.	PROPN
fumecheng-6927	411	4	,	,	PUNCT
fumecheng-6927	411	5	aljarilla	aljarilla	PROPN
fumecheng-6927	411	6	,	,	PUNCT
fumecheng-6927	411	7	a.	a.	NOUN
fumecheng-6927	411	8	,	,	PUNCT
fumecheng-6927	411	9	de	de	PROPN
fumecheng-6927	411	10	la	la	PROPN
fumecheng-6927	411	11	cruz	cruz	PROPN
fumecheng-6927	411	12	,	,	PUNCT
fumecheng-6927	411	13	p.	p.	PROPN
fumecheng-6927	411	14	,	,	PUNCT
fumecheng-6927	411	15	palomares	palomare	NOUN
fumecheng-6927	411	16	,	,	PUNCT
fumecheng-6927	411	17	e.	e.	PROPN
fumecheng-6927	411	18	,	,	PUNCT
fumecheng-6927	411	19	sharma	sharma	PROPN
fumecheng-6927	411	20	,	,	PUNCT
fumecheng-6927	411	21	g.d	g.d	NOUN
fumecheng-6927	411	22	,	,	PUNCT
fumecheng-6927	411	23	langa	langa	PROPN
fumecheng-6927	411	24	,	,	PUNCT
fumecheng-6927	411	25	f.	f.	PROPN
fumecheng-6927	411	26	,	,	PUNCT
fumecheng-6927	411	27	2016	2016	NUM
fumecheng-6927	411	28	,	,	PUNCT
fumecheng-6927	411	29	efficiency	efficiency	NOUN
fumecheng-6927	411	30	improvement	improvement	NOUN
fumecheng-6927	411	31	using	use	VERB
fumecheng-6927	411	32	bis	bis	PROPN
fumecheng-6927	411	33	(	(	PUNCT
fumecheng-6927	411	34	trifluoromethane	trifluoromethane	NOUN
fumecheng-6927	411	35	)	)	PUNCT
fumecheng-6927	411	36	sulfonamide	sulfonamide	NOUN
fumecheng-6927	411	37	lithium	lithium	NOUN
fumecheng-6927	411	38	salt	salt	NOUN
fumecheng-6927	411	39	as	as	ADP
fumecheng-6927	411	40	a	a	DET
fumecheng-6927	411	41	chemical	chemical	NOUN
fumecheng-6927	411	42	additive	additive	NOUN
fumecheng-6927	411	43	in	in	ADP
fumecheng-6927	411	44	porphyrin	porphyrin	NOUN
fumecheng-6927	411	45	based	base	VERB
fumecheng-6927	411	46	organic	organic	ADJ
fumecheng-6927	411	47	solar	solar	ADJ
fumecheng-6927	411	48	cells	cell	NOUN
fumecheng-6927	411	49	,	,	PUNCT
fumecheng-6927	411	50	nanoscale	nanoscale	NOUN
fumecheng-6927	411	51	,	,	PUNCT
fumecheng-6927	411	52	8(41	8(41	NUM
fumecheng-6927	411	53	)	)	PUNCT
fumecheng-6927	411	54	,	,	PUNCT
fumecheng-6927	411	55	pp.17953	pp.17953	PROPN
fumecheng-6927	411	56	-	-	PUNCT
fumecheng-6927	411	57	17962	17962	NUM
fumecheng-6927	411	58	.	.	PUNCT
fumecheng-6927	412	1	14	14	NUM
fumecheng-6927	412	2	.	.	PUNCT
fumecheng-6927	413	1	bruner	bruner	PROPN
fumecheng-6927	413	2	,	,	PUNCT
fumecheng-6927	413	3	c.	c.	PROPN
fumecheng-6927	413	4	,	,	PUNCT
fumecheng-6927	413	5	dauskardt	dauskardt	PROPN
fumecheng-6927	413	6	,	,	PUNCT
fumecheng-6927	413	7	r.	r.	PROPN
fumecheng-6927	413	8	,	,	PUNCT
fumecheng-6927	413	9	2014	2014	NUM
fumecheng-6927	413	10	,	,	PUNCT
fumecheng-6927	413	11	role	role	NOUN
fumecheng-6927	413	12	of	of	ADP
fumecheng-6927	413	13	molecular	molecular	ADJ
fumecheng-6927	413	14	weight	weight	NOUN
fumecheng-6927	413	15	on	on	ADP
fumecheng-6927	413	16	the	the	DET
fumecheng-6927	413	17	mechanical	mechanical	ADJ
fumecheng-6927	413	18	device	device	NOUN
fumecheng-6927	413	19	properties	property	NOUN
fumecheng-6927	413	20	of	of	ADP
fumecheng-6927	413	21	organic	organic	ADJ
fumecheng-6927	413	22	polymer	polymer	NOUN
fumecheng-6927	413	23	solar	solar	ADJ
fumecheng-6927	413	24	cells	cell	NOUN
fumecheng-6927	413	25	,	,	PUNCT
fumecheng-6927	413	26	macromolecules	macromolecule	NOUN
fumecheng-6927	413	27	,	,	PUNCT
fumecheng-6927	413	28	47(3	47(3	NOUN
fumecheng-6927	413	29	)	)	PUNCT
fumecheng-6927	413	30	,	,	PUNCT
fumecheng-6927	413	31	pp	pp	ADP
fumecheng-6927	413	32	.	.	PUNCT
fumecheng-6927	413	33	1117	1117	NUM
fumecheng-6927	413	34	-	-	SYM
fumecheng-6927	413	35	1121	1121	NUM
fumecheng-6927	413	36	.	.	PUNCT
fumecheng-6927	414	1	15	15	NUM
fumecheng-6927	414	2	.	.	X
fumecheng-6927	414	3	noh	noh	PROPN
fumecheng-6927	414	4	,	,	PUNCT
fumecheng-6927	414	5	h.	h.	PROPN
fumecheng-6927	414	6	,	,	PUNCT
fumecheng-6927	414	7	diaz	diaz	PROPN
fumecheng-6927	414	8	,	,	PUNCT
fumecheng-6927	414	9	a.j	a.j	PROPN
fumecheng-6927	414	10	.	.	PROPN
fumecheng-6927	414	11	,	,	PUNCT
fumecheng-6927	414	12	solares	solares	PROPN
fumecheng-6927	414	13	,	,	PUNCT
fumecheng-6927	414	14	s.d	s.d	PROPN
fumecheng-6927	414	15	.	.	PROPN
fumecheng-6927	414	16	,	,	PUNCT
fumecheng-6927	414	17	2017	2017	NUM
fumecheng-6927	414	18	,	,	PUNCT
fumecheng-6927	414	19	analysis	analysis	NOUN
fumecheng-6927	414	20	and	and	CCONJ
fumecheng-6927	414	21	modification	modification	NOUN
fumecheng-6927	414	22	of	of	ADP
fumecheng-6927	414	23	defective	defective	ADJ
fumecheng-6927	414	24	surface	surface	NOUN
fumecheng-6927	414	25	aggregates	aggregate	NOUN
fumecheng-6927	414	26	on	on	ADP
fumecheng-6927	414	27	pcdtbt	pcdtbt	PROPN
fumecheng-6927	414	28	:	:	PUNCT
fumecheng-6927	414	29	pcbm	pcbm	ADJ
fumecheng-6927	414	30	solar	solar	ADJ
fumecheng-6927	414	31	cell	cell	NOUN
fumecheng-6927	414	32	blends	blend	NOUN
fumecheng-6927	414	33	using	use	VERB
fumecheng-6927	414	34	combined	combined	ADJ
fumecheng-6927	414	35	kelvin	kelvin	PROPN
fumecheng-6927	414	36	probe	probe	PROPN
fumecheng-6927	414	37	,	,	PUNCT
fumecheng-6927	414	38	conductive	conductive	ADJ
fumecheng-6927	414	39	and	and	CCONJ
fumecheng-6927	414	40	bimodal	bimodal	ADJ
fumecheng-6927	414	41	atomic	atomic	ADJ
fumecheng-6927	414	42	force	force	NOUN
fumecheng-6927	414	43	microscopy	microscopy	PROPN
fumecheng-6927	414	44	,	,	PUNCT
fumecheng-6927	414	45	beilstein	beilstein	ADJ
fumecheng-6927	414	46	journal	journal	PROPN
fumecheng-6927	414	47	of	of	ADP
fumecheng-6927	414	48	nanotechnology	nanotechnology	PROPN
fumecheng-6927	414	49	,	,	PUNCT
fumecheng-6927	414	50	8	8	NUM
fumecheng-6927	414	51	,	,	PUNCT
fumecheng-6927	414	52	pp	pp	ADJ
fumecheng-6927	414	53	.	.	PUNCT
fumecheng-6927	415	1	579	579	NUM
fumecheng-6927	415	2	-	-	SYM
fumecheng-6927	415	3	589	589	NUM
fumecheng-6927	415	4	.	.	PUNCT
fumecheng-6927	416	1	16	16	NUM
fumecheng-6927	416	2	.	.	PUNCT
fumecheng-6927	417	1	efremov	efremov	PROPN
fumecheng-6927	417	2	,	,	PUNCT
fumecheng-6927	417	3	y.m	y.m	PROPN
fumecheng-6927	417	4	.	.	PROPN
fumecheng-6927	417	5	,	,	PUNCT
fumecheng-6927	417	6	wang	wang	PROPN
fumecheng-6927	417	7	,	,	PUNCT
fumecheng-6927	417	8	w.h	w.h	PROPN
fumecheng-6927	417	9	.	.	PROPN
fumecheng-6927	417	10	,	,	PUNCT
fumecheng-6927	417	11	hardy	hardy	ADJ
fumecheng-6927	417	12	,	,	PUNCT
fumecheng-6927	417	13	s.d	s.d	PROPN
fumecheng-6927	417	14	.	.	PROPN
fumecheng-6927	417	15	,	,	PUNCT
fumecheng-6927	417	16	geahlen	geahlen	PROPN
fumecheng-6927	417	17	,	,	PUNCT
fumecheng-6927	417	18	r.l	r.l	PROPN
fumecheng-6927	417	19	.	.	PROPN
fumecheng-6927	417	20	,	,	PUNCT
fumecheng-6927	417	21	raman	raman	NOUN
fumecheng-6927	417	22	,	,	PUNCT
fumecheng-6927	417	23	a.	a.	NOUN
fumecheng-6927	417	24	,	,	PUNCT
fumecheng-6927	417	25	2017	2017	NUM
fumecheng-6927	417	26	,	,	PUNCT
fumecheng-6927	417	27	measuring	measure	VERB
fumecheng-6927	417	28	nanoscale	nanoscale	NOUN
fumecheng-6927	417	29	viscoelastic	viscoelastic	ADJ
fumecheng-6927	417	30	parameters	parameter	NOUN
fumecheng-6927	417	31	of	of	ADP
fumecheng-6927	417	32	cells	cell	NOUN
fumecheng-6927	417	33	directly	directly	ADV
fumecheng-6927	417	34	from	from	ADP
fumecheng-6927	417	35	afm	afm	PROPN
fumecheng-6927	417	36	force	force	NOUN
fumecheng-6927	417	37	-	-	PUNCT
fumecheng-6927	417	38	displacement	displacement	ADJ
fumecheng-6927	417	39	curves	curve	NOUN
fumecheng-6927	417	40	,	,	PUNCT
fumecheng-6927	417	41	scientific	scientific	ADJ
fumecheng-6927	417	42	reports	report	NOUN
fumecheng-6927	417	43	,	,	PUNCT
fumecheng-6927	417	44	7(1	7(1	NUM
fumecheng-6927	417	45	)	)	PUNCT
fumecheng-6927	417	46	,	,	PUNCT
fumecheng-6927	417	47	pp	pp	PROPN
fumecheng-6927	417	48	.	.	PUNCT
fumecheng-6927	418	1	1	1	NUM
fumecheng-6927	418	2	-	-	SYM
fumecheng-6927	418	3	14	14	NUM
fumecheng-6927	418	4	.	.	PUNCT
fumecheng-6927	419	1	17	17	NUM
fumecheng-6927	419	2	.	.	PUNCT
fumecheng-6927	420	1	zhai	zhai	PROPN
fumecheng-6927	420	2	,	,	PUNCT
fumecheng-6927	420	3	m.	m.	NOUN
fumecheng-6927	420	4	,	,	PUNCT
fumecheng-6927	420	5	mckenna	mckenna	PROPN
fumecheng-6927	420	6	,	,	PUNCT
fumecheng-6927	420	7	g.b	g.b	PROPN
fumecheng-6927	420	8	.	.	PROPN
fumecheng-6927	420	9	,	,	PUNCT
fumecheng-6927	420	10	viscoelastic	viscoelastic	NOUN
fumecheng-6927	420	11	modeling	modeling	NOUN
fumecheng-6927	420	12	of	of	ADP
fumecheng-6927	420	13	nanoindentation	nanoindentation	NOUN
fumecheng-6927	420	14	experiments	experiment	NOUN
fumecheng-6927	420	15	:	:	PUNCT
fumecheng-6927	420	16	a	a	DET
fumecheng-6927	420	17	multicurve	multicurve	NOUN
fumecheng-6927	420	18	method	method	NOUN
fumecheng-6927	420	19	,	,	PUNCT
fumecheng-6927	420	20	journal	journal	NOUN
fumecheng-6927	420	21	of	of	ADP
fumecheng-6927	420	22	polymer	polymer	NOUN
fumecheng-6927	420	23	science	science	NOUN
fumecheng-6927	420	24	part	part	NOUN
fumecheng-6927	420	25	b	b	NOUN
fumecheng-6927	420	26	:	:	PUNCT
fumecheng-6927	420	27	polymer	polymer	NOUN
fumecheng-6927	420	28	physics	physics	NOUN
fumecheng-6927	420	29	,	,	PUNCT
fumecheng-6927	420	30	52(9	52(9	NUM
fumecheng-6927	420	31	)	)	PUNCT
fumecheng-6927	420	32	,	,	PUNCT
fumecheng-6927	420	33	pp	pp	ADP
fumecheng-6927	420	34	.	.	PUNCT
fumecheng-6927	421	1	633	633	NUM
fumecheng-6927	421	2	-	-	SYM
fumecheng-6927	421	3	639	639	NUM
fumecheng-6927	421	4	.	.	PUNCT
fumecheng-6927	422	1	18	18	NUM
fumecheng-6927	422	2	.	.	X
fumecheng-6927	422	3	lópez‐guerra	lópez‐guerra	PROPN
fumecheng-6927	422	4	,	,	PUNCT
fumecheng-6927	422	5	e.a	e.a	PROPN
fumecheng-6927	422	6	.	.	PROPN
fumecheng-6927	422	7	,	,	PUNCT
fumecheng-6927	422	8	eslami	eslami	PROPN
fumecheng-6927	422	9	,	,	PUNCT
fumecheng-6927	422	10	b.	b.	PROPN
fumecheng-6927	422	11	,	,	PUNCT
fumecheng-6927	422	12	solares	solares	PROPN
fumecheng-6927	422	13	,	,	PUNCT
fumecheng-6927	422	14	s.d	s.d	PROPN
fumecheng-6927	422	15	.	.	PROPN
fumecheng-6927	422	16	,	,	PUNCT
fumecheng-6927	422	17	2017,calculation	2017,calculation	PROPN
fumecheng-6927	422	18	of	of	ADP
fumecheng-6927	422	19	standard	standard	ADJ
fumecheng-6927	422	20	viscoelastic	viscoelastic	ADJ
fumecheng-6927	422	21	responses	response	NOUN
fumecheng-6927	422	22	with	with	ADP
fumecheng-6927	422	23	multiple	multiple	ADJ
fumecheng-6927	422	24	retardation	retardation	NOUN
fumecheng-6927	422	25	times	time	NOUN
fumecheng-6927	422	26	through	through	ADP
fumecheng-6927	422	27	analysis	analysis	NOUN
fumecheng-6927	422	28	of	of	ADP
fumecheng-6927	422	29	static	static	ADJ
fumecheng-6927	422	30	force	force	NOUN
fumecheng-6927	422	31	spectroscopy	spectroscopy	VERB
fumecheng-6927	422	32	afm	afm	PROPN
fumecheng-6927	422	33	data	data	PROPN
fumecheng-6927	422	34	,	,	PUNCT
fumecheng-6927	422	35	journal	journal	NOUN
fumecheng-6927	422	36	of	of	ADP
fumecheng-6927	422	37	polymer	polymer	NOUN
fumecheng-6927	422	38	science	science	NOUN
fumecheng-6927	422	39	part	part	NOUN
fumecheng-6927	422	40	b	b	NOUN
fumecheng-6927	422	41	:	:	PUNCT
fumecheng-6927	422	42	polymer	polymer	NOUN
fumecheng-6927	422	43	physics	physics	NOUN
fumecheng-6927	422	44	,	,	PUNCT
fumecheng-6927	422	45	55(10	55(10	NUM
fumecheng-6927	422	46	)	)	PUNCT
fumecheng-6927	422	47	,	,	PUNCT
fumecheng-6927	422	48	p.	p.	NOUN
fumecheng-6927	422	49	804	804	NUM
fumecheng-6927	422	50	-	-	PUNCT
fumecheng-6927	422	51	813	813	NUM
fumecheng-6927	422	52	.	.	PUNCT
fumecheng-6927	423	1	19	19	NUM
fumecheng-6927	423	2	.	.	X
fumecheng-6927	423	3	lópez‐guerra	lópez‐guerra	PROPN
fumecheng-6927	423	4	,	,	PUNCT
fumecheng-6927	423	5	e.a	e.a	PROPN
fumecheng-6927	423	6	.	.	PROPN
fumecheng-6927	423	7	,	,	PUNCT
fumecheng-6927	423	8	solares	solares	PROPN
fumecheng-6927	423	9	,	,	PUNCT
fumecheng-6927	423	10	s.d	s.d	PROPN
fumecheng-6927	423	11	.	.	PROPN
fumecheng-6927	423	12	,	,	PUNCT
fumecheng-6927	423	13	2017	2017	NUM
fumecheng-6927	423	14	,	,	PUNCT
fumecheng-6927	423	15	material	material	NOUN
fumecheng-6927	423	16	property	property	NOUN
fumecheng-6927	423	17	analytical	analytical	ADJ
fumecheng-6927	423	18	relations	relation	NOUN
fumecheng-6927	423	19	for	for	ADP
fumecheng-6927	423	20	the	the	DET
fumecheng-6927	423	21	case	case	NOUN
fumecheng-6927	423	22	of	of	ADP
fumecheng-6927	423	23	an	an	DET
fumecheng-6927	423	24	afm	afm	NOUN
fumecheng-6927	423	25	probe	probe	NOUN
fumecheng-6927	423	26	tapping	tap	VERB
fumecheng-6927	423	27	a	a	DET
fumecheng-6927	423	28	viscoelastic	viscoelastic	ADJ
fumecheng-6927	423	29	surface	surface	NOUN
fumecheng-6927	423	30	containing	contain	VERB
fumecheng-6927	423	31	multiple	multiple	ADJ
fumecheng-6927	423	32	characteristic	characteristic	ADJ
fumecheng-6927	423	33	times	time	NOUN
fumecheng-6927	423	34	,	,	PUNCT
fumecheng-6927	423	35	beilstein	beilstein	ADJ
fumecheng-6927	423	36	journal	journal	PROPN
fumecheng-6927	423	37	of	of	ADP
fumecheng-6927	423	38	nanotechnology	nanotechnology	PROPN
fumecheng-6927	423	39	,	,	PUNCT
fumecheng-6927	423	40	8(1	8(1	NOUN
fumecheng-6927	423	41	)	)	PUNCT
fumecheng-6927	423	42	,	,	PUNCT
fumecheng-6927	423	43	pp	pp	ADJ
fumecheng-6927	423	44	.	.	PUNCT
fumecheng-6927	424	1	2230	2230	NUM
fumecheng-6927	424	2	-	-	SYM
fumecheng-6927	424	3	2244	2244	NUM
fumecheng-6927	424	4	.	.	PUNCT
fumecheng-6927	425	1	20	20	NUM
fumecheng-6927	425	2	.	.	PUNCT
fumecheng-6927	426	1	garcia	garcia	PROPN
fumecheng-6927	426	2	,	,	PUNCT
fumecheng-6927	426	3	p.d	p.d	PROPN
fumecheng-6927	426	4	.	.	PROPN
fumecheng-6927	426	5	,	,	PUNCT
fumecheng-6927	426	6	guerrero	guerrero	PROPN
fumecheng-6927	426	7	,	,	PUNCT
fumecheng-6927	426	8	c.r	c.r	PROPN
fumecheng-6927	426	9	.	.	PROPN
fumecheng-6927	426	10	,	,	PUNCT
fumecheng-6927	426	11	garcia	garcia	PROPN
fumecheng-6927	426	12	,	,	PUNCT
fumecheng-6927	426	13	r.	r.	PROPN
fumecheng-6927	426	14	,	,	PUNCT
fumecheng-6927	426	15	2017	2017	NUM
fumecheng-6927	426	16	,	,	PUNCT
fumecheng-6927	426	17	time	time	NOUN
fumecheng-6927	426	18	-	-	PUNCT
fumecheng-6927	426	19	resolved	resolve	VERB
fumecheng-6927	426	20	nanomechanics	nanomechanic	NOUN
fumecheng-6927	426	21	of	of	ADP
fumecheng-6927	426	22	a	a	DET
fumecheng-6927	426	23	single	single	ADJ
fumecheng-6927	426	24	cell	cell	NOUN
fumecheng-6927	426	25	under	under	ADP
fumecheng-6927	426	26	the	the	DET
fumecheng-6927	426	27	depolymerization	depolymerization	NOUN
fumecheng-6927	426	28	of	of	ADP
fumecheng-6927	426	29	the	the	DET
fumecheng-6927	426	30	cytoskeleton	cytoskeleton	PROPN
fumecheng-6927	426	31	,	,	PUNCT
fumecheng-6927	426	32	nanoscale	nanoscale	NOUN
fumecheng-6927	426	33	,	,	PUNCT
fumecheng-6927	426	34	9(33	9(33	NUM
fumecheng-6927	426	35	)	)	PUNCT
fumecheng-6927	426	36	,	,	PUNCT
fumecheng-6927	426	37	pp	pp	PROPN
fumecheng-6927	426	38	.	.	PUNCT
fumecheng-6927	426	39	12051	12051	NUM
fumecheng-6927	426	40	-	-	SYM
fumecheng-6927	426	41	12059	12059	NUM
fumecheng-6927	426	42	.	.	PUNCT
fumecheng-6927	427	1	21	21	NUM
fumecheng-6927	427	2	.	.	PUNCT
fumecheng-6927	428	1	garcia	garcia	PROPN
fumecheng-6927	428	2	,	,	PUNCT
fumecheng-6927	428	3	p.d	p.d	PROPN
fumecheng-6927	428	4	.	.	PROPN
fumecheng-6927	428	5	,	,	PUNCT
fumecheng-6927	428	6	guerrero	guerrero	PROPN
fumecheng-6927	428	7	,	,	PUNCT
fumecheng-6927	428	8	c.r	c.r	PROPN
fumecheng-6927	428	9	.	.	PROPN
fumecheng-6927	428	10	,	,	PUNCT
fumecheng-6927	428	11	garcia	garcia	PROPN
fumecheng-6927	428	12	,	,	PUNCT
fumecheng-6927	428	13	r.	r.	PROPN
fumecheng-6927	428	14	,	,	PUNCT
fumecheng-6927	428	15	2020	2020	NUM
fumecheng-6927	428	16	,	,	PUNCT
fumecheng-6927	428	17	nanorheology	nanorheology	NOUN
fumecheng-6927	428	18	of	of	ADP
fumecheng-6927	428	19	living	living	NOUN
fumecheng-6927	428	20	cells	cell	NOUN
fumecheng-6927	428	21	measured	measure	VERB
fumecheng-6927	428	22	by	by	ADP
fumecheng-6927	428	23	afm	afm	PROPN
fumecheng-6927	428	24	-	-	PUNCT
fumecheng-6927	428	25	based	base	VERB
fumecheng-6927	428	26	force	force	NOUN
fumecheng-6927	428	27	–	–	PUNCT
fumecheng-6927	428	28	distance	distance	NOUN
fumecheng-6927	428	29	curves	curve	NOUN
fumecheng-6927	428	30	,	,	PUNCT
fumecheng-6927	428	31	nanoscale	nanoscale	NOUN
fumecheng-6927	428	32	,	,	PUNCT
fumecheng-6927	428	33	12(16	12(16	NUM
fumecheng-6927	428	34	)	)	PUNCT
fumecheng-6927	428	35	,	,	PUNCT
fumecheng-6927	428	36	pp	pp	ADP
fumecheng-6927	428	37	.	.	PUNCT
fumecheng-6927	429	1	9133	9133	NUM
fumecheng-6927	429	2	-	-	SYM
fumecheng-6927	429	3	9143	9143	NUM
fumecheng-6927	429	4	.	.	PUNCT
fumecheng-6927	430	1	22	22	NUM
fumecheng-6927	430	2	.	.	PUNCT
fumecheng-6927	431	1	parvini	parvini	PROPN
fumecheng-6927	431	2	,	,	PUNCT
fumecheng-6927	431	3	c.h	c.h	PROPN
fumecheng-6927	431	4	.	.	PROPN
fumecheng-6927	431	5	,	,	PUNCT
fumecheng-6927	431	6	saadi	saadi	PROPN
fumecheng-6927	431	7	,	,	PUNCT
fumecheng-6927	431	8	m.a.s.r	m.a.s.r	PROPN
fumecheng-6927	431	9	.	.	PROPN
fumecheng-6927	431	10	,	,	PUNCT
fumecheng-6927	431	11	solares	solares	PROPN
fumecheng-6927	431	12	,	,	PUNCT
fumecheng-6927	431	13	s.d	s.d	PROPN
fumecheng-6927	431	14	.	.	PROPN
fumecheng-6927	431	15	,	,	PUNCT
fumecheng-6927	431	16	extracting	extract	VERB
fumecheng-6927	431	17	viscoelastic	viscoelastic	ADJ
fumecheng-6927	431	18	material	material	NOUN
fumecheng-6927	431	19	parameters	parameter	NOUN
fumecheng-6927	431	20	using	use	VERB
fumecheng-6927	431	21	an	an	DET
fumecheng-6927	431	22	atomic	atomic	ADJ
fumecheng-6927	431	23	force	force	NOUN
fumecheng-6927	431	24	microscope	microscope	NOUN
fumecheng-6927	431	25	and	and	CCONJ
fumecheng-6927	431	26	static	static	ADJ
fumecheng-6927	431	27	force	force	NOUN
fumecheng-6927	431	28	spectroscopy	spectroscopy	NOUN
fumecheng-6927	431	29	,	,	PUNCT
fumecheng-6927	431	30	beilstein	beilstein	ADJ
fumecheng-6927	431	31	journal	journal	PROPN
fumecheng-6927	431	32	of	of	ADP
fumecheng-6927	431	33	nanotechnology	nanotechnology	PROPN
fumecheng-6927	431	34	,	,	PUNCT
fumecheng-6927	431	35	11(1	11(1	NUM
fumecheng-6927	431	36	)	)	PUNCT
fumecheng-6927	431	37	,	,	PUNCT
fumecheng-6927	431	38	pp	pp	ADJ
fumecheng-6927	431	39	.	.	PUNCT
fumecheng-6927	432	1	922	922	NUM
fumecheng-6927	432	2	-	-	SYM
fumecheng-6927	432	3	937	937	NUM
fumecheng-6927	432	4	.	.	PUNCT
fumecheng-6927	433	1	23	23	NUM
fumecheng-6927	433	2	.	.	PUNCT
fumecheng-6927	434	1	rajabifar	rajabifar	PROPN
fumecheng-6927	434	2	,	,	PUNCT
fumecheng-6927	434	3	b.	b.	PROPN
fumecheng-6927	434	4	,	,	PUNCT
fumecheng-6927	434	5	jadhav	jadhav	PROPN
fumecheng-6927	434	6	,	,	PUNCT
fumecheng-6927	434	7	j.m	j.m	PROPN
fumecheng-6927	434	8	.	.	PROPN
fumecheng-6927	434	9	,	,	PUNCT
fumecheng-6927	434	10	kiracofe	kiracofe	PROPN
fumecheng-6927	434	11	,	,	PUNCT
fumecheng-6927	434	12	d.	d.	PROPN
fumecheng-6927	434	13	,	,	PUNCT
fumecheng-6927	434	14	meyers	meyers	PROPN
fumecheng-6927	434	15	,	,	PUNCT
fumecheng-6927	434	16	g.f	g.f	PROPN
fumecheng-6927	434	17	.	.	PROPN
fumecheng-6927	434	18	raman	raman	PROPN
fumecheng-6927	434	19	,	,	PUNCT
fumecheng-6927	434	20	a.	a.	NOUN
fumecheng-6927	434	21	,	,	PUNCT
fumecheng-6927	434	22	2018	2018	NUM
fumecheng-6927	434	23	,	,	PUNCT
fumecheng-6927	434	24	dynamic	dynamic	ADJ
fumecheng-6927	434	25	afm	afm	X
fumecheng-6927	434	26	on	on	ADP
fumecheng-6927	434	27	viscoelastic	viscoelastic	ADJ
fumecheng-6927	434	28	polymer	polymer	NOUN
fumecheng-6927	434	29	samples	sample	NOUN
fumecheng-6927	434	30	with	with	ADP
fumecheng-6927	434	31	surface	surface	NOUN
fumecheng-6927	434	32	forces	force	NOUN
fumecheng-6927	434	33	,	,	PUNCT
fumecheng-6927	434	34	macromolecules	macromolecule	NOUN
fumecheng-6927	434	35	,	,	PUNCT
fumecheng-6927	434	36	51(23	51(23	NOUN
fumecheng-6927	434	37	)	)	PUNCT
fumecheng-6927	434	38	,	,	PUNCT
fumecheng-6927	434	39	pp	pp	ADP
fumecheng-6927	434	40	.	.	PUNCT
fumecheng-6927	435	1	9649	9649	NUM
fumecheng-6927	435	2	-	-	SYM
fumecheng-6927	435	3	9661	9661	NUM
fumecheng-6927	435	4	.	.	PUNCT
fumecheng-6927	436	1	24	24	NUM
fumecheng-6927	436	2	.	.	PUNCT
fumecheng-6927	437	1	chyasnavichyus	chyasnavichyus	PROPN
fumecheng-6927	437	2	,	,	PUNCT
fumecheng-6927	437	3	m.	m.	NOUN
fumecheng-6927	437	4	,	,	PUNCT
fumecheng-6927	437	5	young	young	ADJ
fumecheng-6927	437	6	,	,	PUNCT
fumecheng-6927	437	7	s.l	s.l	PROPN
fumecheng-6927	437	8	.	.	PROPN
fumecheng-6927	437	9	,	,	PUNCT
fumecheng-6927	437	10	tsukruk	tsukruk	PROPN
fumecheng-6927	437	11	,	,	PUNCT
fumecheng-6927	437	12	v.v	v.v	PROPN
fumecheng-6927	437	13	.	.	PROPN
fumecheng-6927	437	14	,	,	PUNCT
fumecheng-6927	437	15	2015	2015	NUM
fumecheng-6927	437	16	,	,	PUNCT
fumecheng-6927	437	17	recent	recent	ADJ
fumecheng-6927	437	18	advances	advance	NOUN
fumecheng-6927	437	19	in	in	ADP
fumecheng-6927	437	20	micromechanical	micromechanical	ADJ
fumecheng-6927	437	21	characterization	characterization	NOUN
fumecheng-6927	437	22	of	of	ADP
fumecheng-6927	437	23	polymer	polymer	NOUN
fumecheng-6927	437	24	,	,	PUNCT
fumecheng-6927	437	25	biomaterial	biomaterial	NOUN
fumecheng-6927	437	26	,	,	PUNCT
fumecheng-6927	437	27	and	and	CCONJ
fumecheng-6927	437	28	cell	cell	NOUN
fumecheng-6927	437	29	surfaces	surface	NOUN
fumecheng-6927	437	30	with	with	ADP
fumecheng-6927	437	31	atomic	atomic	ADJ
fumecheng-6927	437	32	force	force	NOUN
fumecheng-6927	437	33	microscopy	microscopy	NOUN
fumecheng-6927	437	34	,	,	PUNCT
fumecheng-6927	437	35	japanese	japanese	ADJ
fumecheng-6927	437	36	journal	journal	NOUN
fumecheng-6927	437	37	of	of	ADP
fumecheng-6927	437	38	applied	applied	ADJ
fumecheng-6927	437	39	physics	physics	NOUN
fumecheng-6927	437	40	,	,	PUNCT
fumecheng-6927	437	41	54(8s2	54(8s2	NUM
fumecheng-6927	437	42	)	)	PUNCT
fumecheng-6927	437	43	,	,	PUNCT
fumecheng-6927	437	44	08la02	08la02	NOUN
fumecheng-6927	437	45	.	.	PROPN
fumecheng-6927	438	1	25	25	NUM
fumecheng-6927	438	2	.	.	PUNCT
fumecheng-6927	438	3	radmacher	radmacher	PROPN
fumecheng-6927	438	4	,	,	PUNCT
fumecheng-6927	438	5	m.	m.	NOUN
fumecheng-6927	438	6	,tillmann	,tillmann	PROPN
fumecheng-6927	438	7	,	,	PUNCT
fumecheng-6927	438	8	r.	r.	PROPN
fumecheng-6927	438	9	,	,	PUNCT
fumecheng-6927	438	10	gaub	gaub	PROPN
fumecheng-6927	438	11	,	,	PUNCT
fumecheng-6927	438	12	h.	h.	PROPN
fumecheng-6927	438	13	,	,	PUNCT
fumecheng-6927	438	14	1993	1993	NUM
fumecheng-6927	438	15	,	,	PUNCT
fumecheng-6927	438	16	imaging	imaging	NOUN
fumecheng-6927	438	17	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	438	18	by	by	ADP
fumecheng-6927	438	19	force	force	NOUN
fumecheng-6927	438	20	modulation	modulation	NOUN
fumecheng-6927	438	21	with	with	ADP
fumecheng-6927	438	22	the	the	DET
fumecheng-6927	438	23	atomic	atomic	ADJ
fumecheng-6927	438	24	force	force	NOUN
fumecheng-6927	438	25	microscope	microscope	NOUN
fumecheng-6927	438	26	,	,	PUNCT
fumecheng-6927	438	27	biophysical	biophysical	ADJ
fumecheng-6927	438	28	journal	journal	NOUN
fumecheng-6927	438	29	,	,	PUNCT
fumecheng-6927	438	30	64(3	64(3	NOUN
fumecheng-6927	438	31	)	)	PUNCT
fumecheng-6927	438	32	,	,	PUNCT
fumecheng-6927	438	33	pp	pp	PROPN
fumecheng-6927	438	34	.	.	PUNCT
fumecheng-6927	439	1	735	735	NUM
fumecheng-6927	439	2	-	-	SYM
fumecheng-6927	439	3	742	742	NUM
fumecheng-6927	439	4	.	.	PUNCT
fumecheng-6927	440	1	guidelines	guideline	NOUN
fumecheng-6927	440	2	to	to	PART
fumecheng-6927	440	3	simulate	simulate	VERB
fumecheng-6927	440	4	linear	linear	ADJ
fumecheng-6927	440	5	viscoelastic	viscoelastic	NOUN
fumecheng-6927	440	6	materials	material	NOUN
fumecheng-6927	440	7	with	with	ADP
fumecheng-6927	440	8	an	an	DET
fumecheng-6927	440	9	arbitrary	arbitrary	ADJ
fumecheng-6927	440	10	number	number	NOUN
fumecheng-6927	440	11	of	of	ADP
fumecheng-6927	440	12	characteristic	characteristic	ADJ
fumecheng-6927	440	13	times	time	NOUN
fumecheng-6927	440	14	...	...	PUNCT
fumecheng-6927	440	15	153	153	NUM
fumecheng-6927	440	16	26	26	NUM
fumecheng-6927	440	17	.	.	PUNCT
fumecheng-6927	441	1	garcia	garcia	PROPN
fumecheng-6927	441	2	,	,	PUNCT
fumecheng-6927	441	3	r.	r.	PROPN
fumecheng-6927	441	4	,	,	PUNCT
fumecheng-6927	441	5	2020	2020	NUM
fumecheng-6927	441	6	,	,	PUNCT
fumecheng-6927	441	7	nanomechanical	nanomechanical	ADJ
fumecheng-6927	441	8	mapping	mapping	NOUN
fumecheng-6927	441	9	of	of	ADP
fumecheng-6927	441	10	soft	soft	ADJ
fumecheng-6927	441	11	materials	material	NOUN
fumecheng-6927	441	12	with	with	ADP
fumecheng-6927	441	13	the	the	DET
fumecheng-6927	441	14	atomic	atomic	ADJ
fumecheng-6927	441	15	force	force	NOUN
fumecheng-6927	441	16	microscope	microscope	NOUN
fumecheng-6927	441	17	:	:	PUNCT
fumecheng-6927	441	18	methods	method	NOUN
fumecheng-6927	441	19	,	,	PUNCT
fumecheng-6927	441	20	theory	theory	NOUN
fumecheng-6927	441	21	and	and	CCONJ
fumecheng-6927	441	22	applications	application	NOUN
fumecheng-6927	441	23	,	,	PUNCT
fumecheng-6927	441	24	chemical	chemical	NOUN
fumecheng-6927	441	25	society	society	NOUN
fumecheng-6927	441	26	reviews	review	NOUN
fumecheng-6927	441	27	,	,	PUNCT
fumecheng-6927	441	28	49(16	49(16	NOUN
fumecheng-6927	441	29	)	)	PUNCT
fumecheng-6927	441	30	,	,	PUNCT
fumecheng-6927	441	31	pp	pp	ADP
fumecheng-6927	441	32	.	.	PUNCT
fumecheng-6927	441	33	5850	5850	NUM
fumecheng-6927	441	34	-	-	SYM
fumecheng-6927	441	35	5884	5884	NUM
fumecheng-6927	441	36	.	.	PUNCT
fumecheng-6927	442	1	27	27	NUM
fumecheng-6927	442	2	.	.	PUNCT
fumecheng-6927	443	1	lee	lee	PROPN
fumecheng-6927	443	2	,	,	PUNCT
fumecheng-6927	443	3	e.	e.	PROPN
fumecheng-6927	443	4	,	,	PUNCT
fumecheng-6927	443	5	radok	radok	PROPN
fumecheng-6927	443	6	,	,	PUNCT
fumecheng-6927	443	7	j.r.m	j.r.m	PROPN
fumecheng-6927	443	8	.	.	PROPN
fumecheng-6927	443	9	,	,	PUNCT
fumecheng-6927	443	10	1960	1960	NUM
fumecheng-6927	443	11	,	,	PUNCT
fumecheng-6927	443	12	the	the	DET
fumecheng-6927	443	13	contact	contact	NOUN
fumecheng-6927	443	14	problem	problem	NOUN
fumecheng-6927	443	15	for	for	ADP
fumecheng-6927	443	16	viscoelastic	viscoelastic	ADJ
fumecheng-6927	443	17	bodies	body	NOUN
fumecheng-6927	443	18	,	,	PUNCT
fumecheng-6927	443	19	journal	journal	NOUN
fumecheng-6927	443	20	of	of	ADP
fumecheng-6927	443	21	applied	apply	VERB
fumecheng-6927	443	22	mechanics	mechanic	NOUN
fumecheng-6927	443	23	,	,	PUNCT
fumecheng-6927	443	24	27(3	27(3	NUM
fumecheng-6927	443	25	)	)	PUNCT
fumecheng-6927	443	26	,	,	PUNCT
fumecheng-6927	443	27	pp	pp	PROPN
fumecheng-6927	443	28	.	.	PUNCT
fumecheng-6927	444	1	438	438	NUM
fumecheng-6927	444	2	-	-	SYM
fumecheng-6927	444	3	444	444	NUM
fumecheng-6927	444	4	.	.	NOUN
fumecheng-6927	445	1	28	28	NUM
fumecheng-6927	445	2	.	.	PUNCT
fumecheng-6927	446	1	ting	ting	PROPN
fumecheng-6927	446	2	,	,	PUNCT
fumecheng-6927	446	3	t.	t.	PROPN
fumecheng-6927	446	4	,	,	PUNCT
fumecheng-6927	446	5	1966	1966	NUM
fumecheng-6927	446	6	,	,	PUNCT
fumecheng-6927	446	7	the	the	DET
fumecheng-6927	446	8	contact	contact	NOUN
fumecheng-6927	446	9	stresses	stress	VERB
fumecheng-6927	446	10	between	between	ADP
fumecheng-6927	446	11	a	a	DET
fumecheng-6927	446	12	rigid	rigid	ADJ
fumecheng-6927	446	13	indenter	indenter	NOUN
fumecheng-6927	446	14	and	and	CCONJ
fumecheng-6927	446	15	a	a	DET
fumecheng-6927	446	16	viscoelastic	viscoelastic	ADJ
fumecheng-6927	446	17	half	half	ADJ
fumecheng-6927	446	18	-	-	PUNCT
fumecheng-6927	446	19	space	space	NOUN
fumecheng-6927	446	20	,	,	PUNCT
fumecheng-6927	446	21	journal	journal	NOUN
fumecheng-6927	446	22	of	of	ADP
fumecheng-6927	446	23	applied	apply	VERB
fumecheng-6927	446	24	mechanics	mechanic	NOUN
fumecheng-6927	446	25	,	,	PUNCT
fumecheng-6927	446	26	33(4	33(4	NUM
fumecheng-6927	446	27	)	)	PUNCT
fumecheng-6927	446	28	,	,	PUNCT
fumecheng-6927	446	29	pp	pp	PROPN
fumecheng-6927	446	30	.	.	PUNCT
fumecheng-6927	447	1	845	845	NUM
fumecheng-6927	447	2	-	-	SYM
fumecheng-6927	447	3	854	854	NUM
fumecheng-6927	447	4	.	.	NOUN
fumecheng-6927	447	5	29	29	NUM
fumecheng-6927	447	6	.	.	PUNCT
fumecheng-6927	448	1	graham	graham	PROPN
fumecheng-6927	448	2	,	,	PUNCT
fumecheng-6927	448	3	g.a	g.a	PROPN
fumecheng-6927	448	4	.	.	PROPN
fumecheng-6927	448	5	,	,	PUNCT
fumecheng-6927	448	6	1965	1965	NUM
fumecheng-6927	448	7	,	,	PUNCT
fumecheng-6927	448	8	the	the	DET
fumecheng-6927	448	9	contact	contact	NOUN
fumecheng-6927	448	10	problem	problem	NOUN
fumecheng-6927	448	11	in	in	ADP
fumecheng-6927	448	12	the	the	DET
fumecheng-6927	448	13	linear	linear	PROPN
fumecheng-6927	448	14	theory	theory	NOUN
fumecheng-6927	448	15	of	of	ADP
fumecheng-6927	448	16	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	448	17	,	,	PUNCT
fumecheng-6927	448	18	international	international	ADJ
fumecheng-6927	448	19	journal	journal	NOUN
fumecheng-6927	448	20	of	of	ADP
fumecheng-6927	448	21	engineering	engineering	NOUN
fumecheng-6927	448	22	science	science	NOUN
fumecheng-6927	448	23	,	,	PUNCT
fumecheng-6927	448	24	3(1	3(1	NUM
fumecheng-6927	448	25	)	)	PUNCT
fumecheng-6927	448	26	,	,	PUNCT
fumecheng-6927	448	27	pp	pp	ADP
fumecheng-6927	448	28	.	.	PUNCT
fumecheng-6927	449	1	27	27	NUM
fumecheng-6927	449	2	-	-	SYM
fumecheng-6927	449	3	46	46	NUM
fumecheng-6927	449	4	.	.	PUNCT
fumecheng-6927	450	1	30	30	NUM
fumecheng-6927	450	2	.	.	PUNCT
fumecheng-6927	451	1	garcia	garcia	PROPN
fumecheng-6927	451	2	,	,	PUNCT
fumecheng-6927	451	3	r.	r.	PROPN
fumecheng-6927	451	4	,	,	PUNCT
fumecheng-6927	451	5	perez	perez	PROPN
fumecheng-6927	451	6	,	,	PUNCT
fumecheng-6927	451	7	r	r	NOUN
fumecheng-6927	451	8	,	,	PUNCT
fumecheng-6927	451	9	2002	2002	NUM
fumecheng-6927	451	10	,	,	PUNCT
fumecheng-6927	451	11	dynamic	dynamic	ADJ
fumecheng-6927	451	12	atomic	atomic	ADJ
fumecheng-6927	451	13	force	force	NOUN
fumecheng-6927	451	14	microscopy	microscopy	NOUN
fumecheng-6927	451	15	methods	method	NOUN
fumecheng-6927	451	16	,	,	PUNCT
fumecheng-6927	451	17	surface	surface	NOUN
fumecheng-6927	451	18	science	science	NOUN
fumecheng-6927	451	19	reports	report	NOUN
fumecheng-6927	451	20	,	,	PUNCT
fumecheng-6927	451	21	47(6	47(6	NUM
fumecheng-6927	451	22	)	)	PUNCT
fumecheng-6927	451	23	,	,	PUNCT
fumecheng-6927	451	24	pp	pp	PROPN
fumecheng-6927	451	25	.	.	PUNCT
fumecheng-6927	452	1	197	197	NUM
fumecheng-6927	452	2	-	-	SYM
fumecheng-6927	452	3	301	301	NUM
fumecheng-6927	452	4	.	.	PUNCT
fumecheng-6927	453	1	31	31	NUM
fumecheng-6927	453	2	.	.	PUNCT
fumecheng-6927	454	1	melcher	melcher	PROPN
fumecheng-6927	454	2	,	,	PUNCT
fumecheng-6927	454	3	j.	j.	PROPN
fumecheng-6927	454	4	,	,	PUNCT
fumecheng-6927	454	5	hu	hu	PROPN
fumecheng-6927	454	6	,	,	PUNCT
fumecheng-6927	454	7	s.	s.	PROPN
fumecheng-6927	454	8	,	,	PUNCT
fumecheng-6927	454	9	raman	raman	NOUN
fumecheng-6927	454	10	,	,	PUNCT
fumecheng-6927	454	11	a.	a.	NOUN
fumecheng-6927	454	12	,	,	PUNCT
fumecheng-6927	454	13	2008	2008	NUM
fumecheng-6927	454	14	,	,	PUNCT
fumecheng-6927	454	15	invited	invite	VERB
fumecheng-6927	454	16	article	article	NOUN
fumecheng-6927	454	17	:	:	PUNCT
fumecheng-6927	454	18	veda	veda	PROPN
fumecheng-6927	454	19	:	:	PUNCT
fumecheng-6927	454	20	a	a	DET
fumecheng-6927	454	21	web	web	NOUN
fumecheng-6927	454	22	-	-	PUNCT
fumecheng-6927	454	23	based	base	VERB
fumecheng-6927	454	24	virtual	virtual	ADJ
fumecheng-6927	454	25	environment	environment	NOUN
fumecheng-6927	454	26	for	for	ADP
fumecheng-6927	454	27	dynamic	dynamic	ADJ
fumecheng-6927	454	28	atomic	atomic	ADJ
fumecheng-6927	454	29	force	force	NOUN
fumecheng-6927	454	30	microscopy	microscopy	NOUN
fumecheng-6927	454	31	,	,	PUNCT
fumecheng-6927	454	32	review	review	NOUN
fumecheng-6927	454	33	of	of	ADP
fumecheng-6927	454	34	scientific	scientific	ADJ
fumecheng-6927	454	35	instruments	instrument	NOUN
fumecheng-6927	454	36	,	,	PUNCT
fumecheng-6927	454	37	79(6	79(6	NUM
fumecheng-6927	454	38	)	)	PUNCT
fumecheng-6927	454	39	,	,	PUNCT
fumecheng-6927	454	40	061301	061301	NUM
fumecheng-6927	454	41	.	.	PUNCT
fumecheng-6927	455	1	32	32	NUM
fumecheng-6927	455	2	.	.	PUNCT
fumecheng-6927	456	1	guzman	guzman	PROPN
fumecheng-6927	456	2	,	,	PUNCT
fumecheng-6927	456	3	h.v	h.v	PROPN
fumecheng-6927	456	4	.	.	PROPN
fumecheng-6927	456	5	,	,	PUNCT
fumecheng-6927	456	6	garcia	garcia	PROPN
fumecheng-6927	456	7	,	,	PUNCT
fumecheng-6927	456	8	p.d	p.d	PROPN
fumecheng-6927	456	9	.	.	PROPN
fumecheng-6927	456	10	,	,	PUNCT
fumecheng-6927	456	11	garcia	garcia	PROPN
fumecheng-6927	456	12	,	,	PUNCT
fumecheng-6927	456	13	r.	r.	PROPN
fumecheng-6927	456	14	,	,	PUNCT
fumecheng-6927	456	15	2015	2015	NUM
fumecheng-6927	456	16	,	,	PUNCT
fumecheng-6927	456	17	dynamic	dynamic	ADJ
fumecheng-6927	456	18	force	force	NOUN
fumecheng-6927	456	19	microscopy	microscopy	NOUN
fumecheng-6927	456	20	simulator	simulator	NOUN
fumecheng-6927	456	21	(	(	PUNCT
fumecheng-6927	456	22	dforce	dforce	PROPN
fumecheng-6927	456	23	):	):	PUNCT
fumecheng-6927	456	24	a	a	DET
fumecheng-6927	456	25	tool	tool	NOUN
fumecheng-6927	456	26	for	for	ADP
fumecheng-6927	456	27	planning	planning	NOUN
fumecheng-6927	456	28	and	and	CCONJ
fumecheng-6927	456	29	understanding	understanding	NOUN
fumecheng-6927	456	30	tapping	tapping	NOUN
fumecheng-6927	456	31	and	and	CCONJ
fumecheng-6927	456	32	bimodal	bimodal	VERB
fumecheng-6927	456	33	afm	afm	PROPN
fumecheng-6927	456	34	experiments	experiment	NOUN
fumecheng-6927	456	35	,	,	PUNCT
fumecheng-6927	456	36	beilstein	beilstein	ADJ
fumecheng-6927	456	37	journal	journal	PROPN
fumecheng-6927	456	38	of	of	ADP
fumecheng-6927	456	39	nanotechnology	nanotechnology	PROPN
fumecheng-6927	456	40	,	,	PUNCT
fumecheng-6927	456	41	6(1	6(1	NUM
fumecheng-6927	456	42	)	)	PUNCT
fumecheng-6927	456	43	,	,	PUNCT
fumecheng-6927	456	44	pp	pp	PROPN
fumecheng-6927	456	45	.	.	PUNCT
fumecheng-6927	457	1	369	369	NUM
fumecheng-6927	457	2	-	-	SYM
fumecheng-6927	457	3	379	379	NUM
fumecheng-6927	457	4	.	.	PUNCT
fumecheng-6927	458	1	33	33	NUM
fumecheng-6927	458	2	.	.	PUNCT
fumecheng-6927	459	1	attard	attard	PROPN
fumecheng-6927	459	2	,	,	PUNCT
fumecheng-6927	459	3	p.	p.	PROPN
fumecheng-6927	459	4	,	,	PUNCT
fumecheng-6927	459	5	2007	2007	NUM
fumecheng-6927	459	6	,	,	PUNCT
fumecheng-6927	459	7	measurement	measurement	NOUN
fumecheng-6927	459	8	and	and	CCONJ
fumecheng-6927	459	9	interpretation	interpretation	NOUN
fumecheng-6927	459	10	of	of	ADP
fumecheng-6927	459	11	elastic	elastic	ADJ
fumecheng-6927	459	12	and	and	CCONJ
fumecheng-6927	459	13	viscoelastic	viscoelastic	NOUN
fumecheng-6927	459	14	properties	property	NOUN
fumecheng-6927	459	15	with	with	ADP
fumecheng-6927	459	16	the	the	DET
fumecheng-6927	459	17	atomic	atomic	ADJ
fumecheng-6927	459	18	force	force	NOUN
fumecheng-6927	459	19	microscope	microscope	PROPN
fumecheng-6927	459	20	,	,	PUNCT
fumecheng-6927	459	21	journal	journal	NOUN
fumecheng-6927	459	22	of	of	ADP
fumecheng-6927	459	23	physics	physics	PROPN
fumecheng-6927	459	24	:	:	PUNCT
fumecheng-6927	459	25	condensed	condense	VERB
fumecheng-6927	459	26	matter	matter	NOUN
fumecheng-6927	459	27	,	,	PUNCT
fumecheng-6927	459	28	19(47	19(47	NUM
fumecheng-6927	459	29	)	)	PUNCT
fumecheng-6927	459	30	,	,	PUNCT
fumecheng-6927	459	31	pp	pp	ADJ
fumecheng-6927	459	32	.	.	PUNCT
fumecheng-6927	459	33	473201	473201	NUM
fumecheng-6927	459	34	.	.	PUNCT
fumecheng-6927	460	1	34	34	NUM
fumecheng-6927	460	2	.	.	PUNCT
fumecheng-6927	461	1	amo	amo	PROPN
fumecheng-6927	461	2	,	,	PUNCT
fumecheng-6927	461	3	c.a	c.a	PROPN
fumecheng-6927	461	4	.	.	PROPN
fumecheng-6927	461	5	,	,	PUNCT
fumecheng-6927	461	6	garcia	garcia	PROPN
fumecheng-6927	461	7	,	,	PUNCT
fumecheng-6927	461	8	r.	r.	PROPN
fumecheng-6927	461	9	,	,	PUNCT
fumecheng-6927	461	10	2016	2016	NUM
fumecheng-6927	461	11	,	,	PUNCT
fumecheng-6927	461	12	fundamental	fundamental	ADJ
fumecheng-6927	461	13	high	high	ADJ
fumecheng-6927	461	14	-	-	PUNCT
fumecheng-6927	461	15	speed	speed	NOUN
fumecheng-6927	461	16	limits	limit	NOUN
fumecheng-6927	461	17	in	in	ADP
fumecheng-6927	461	18	single	single	ADJ
fumecheng-6927	461	19	-	-	PUNCT
fumecheng-6927	461	20	molecule	molecule	NOUN
fumecheng-6927	461	21	,	,	PUNCT
fumecheng-6927	461	22	single	single	ADJ
fumecheng-6927	461	23	-	-	PUNCT
fumecheng-6927	461	24	cell	cell	NOUN
fumecheng-6927	461	25	,	,	PUNCT
fumecheng-6927	461	26	and	and	CCONJ
fumecheng-6927	461	27	nanoscale	nanoscale	NOUN
fumecheng-6927	461	28	force	force	NOUN
fumecheng-6927	461	29	spectroscopies	spectroscopy	NOUN
fumecheng-6927	461	30	,	,	PUNCT
fumecheng-6927	461	31	acs	acs	PROPN
fumecheng-6927	461	32	nano	nano	NOUN
fumecheng-6927	461	33	,	,	PUNCT
fumecheng-6927	461	34	10(7	10(7	NUM
fumecheng-6927	461	35	)	)	PUNCT
fumecheng-6927	461	36	,	,	PUNCT
fumecheng-6927	461	37	pp	pp	ADJ
fumecheng-6927	461	38	.	.	PUNCT
fumecheng-6927	462	1	7117	7117	NUM
fumecheng-6927	462	2	-	-	SYM
fumecheng-6927	462	3	7124	7124	NUM
fumecheng-6927	462	4	.	.	PUNCT
fumecheng-6927	463	1	35	35	NUM
fumecheng-6927	463	2	.	.	PUNCT
fumecheng-6927	464	1	cartagena	cartagena	PROPN
fumecheng-6927	464	2	,	,	PUNCT
fumecheng-6927	464	3	a.	a.	PROPN
fumecheng-6927	464	4	,	,	PUNCT
fumecheng-6927	464	5	raman	raman	NOUN
fumecheng-6927	464	6	,	,	PUNCT
fumecheng-6927	464	7	a.	a.	NOUN
fumecheng-6927	464	8	,	,	PUNCT
fumecheng-6927	464	9	2014	2014	NUM
fumecheng-6927	464	10	,	,	PUNCT
fumecheng-6927	464	11	local	local	ADJ
fumecheng-6927	464	12	viscoelastic	viscoelastic	ADJ
fumecheng-6927	464	13	properties	property	NOUN
fumecheng-6927	464	14	of	of	ADP
fumecheng-6927	464	15	live	live	ADJ
fumecheng-6927	464	16	cells	cell	NOUN
fumecheng-6927	464	17	investigated	investigate	VERB
fumecheng-6927	464	18	using	use	VERB
fumecheng-6927	464	19	dynamic	dynamic	ADJ
fumecheng-6927	464	20	and	and	CCONJ
fumecheng-6927	464	21	quasi	quasi	ADJ
fumecheng-6927	464	22	-	-	ADJ
fumecheng-6927	464	23	static	static	ADJ
fumecheng-6927	464	24	atomic	atomic	ADJ
fumecheng-6927	464	25	force	force	NOUN
fumecheng-6927	464	26	microscopy	microscopy	NOUN
fumecheng-6927	464	27	methods	method	NOUN
fumecheng-6927	464	28	,	,	PUNCT
fumecheng-6927	464	29	biophys	biophys	PROPN
fumecheng-6927	464	30	j	j	PROPN
fumecheng-6927	464	31	,	,	PUNCT
fumecheng-6927	464	32	106(5	106(5	NUM
fumecheng-6927	464	33	)	)	PUNCT
fumecheng-6927	464	34	,	,	PUNCT
fumecheng-6927	464	35	pp	pp	PROPN
fumecheng-6927	464	36	.	.	PUNCT
fumecheng-6927	465	1	1033	1033	NUM
fumecheng-6927	465	2	-	-	SYM
fumecheng-6927	465	3	43	43	NUM
fumecheng-6927	465	4	.	.	PUNCT
fumecheng-6927	466	1	36	36	NUM
fumecheng-6927	466	2	.	.	PUNCT
fumecheng-6927	467	1	garcia	garcia	PROPN
fumecheng-6927	467	2	,	,	PUNCT
fumecheng-6927	467	3	p.d	p.d	PROPN
fumecheng-6927	467	4	.	.	PROPN
fumecheng-6927	467	5	,	,	PUNCT
fumecheng-6927	467	6	garcia	garcia	PROPN
fumecheng-6927	467	7	,	,	PUNCT
fumecheng-6927	467	8	r.	r.	PROPN
fumecheng-6927	467	9	,	,	PUNCT
fumecheng-6927	467	10	2018	2018	NUM
fumecheng-6927	467	11	,	,	PUNCT
fumecheng-6927	467	12	determination	determination	NOUN
fumecheng-6927	467	13	of	of	ADP
fumecheng-6927	467	14	the	the	DET
fumecheng-6927	467	15	elastic	elastic	ADJ
fumecheng-6927	467	16	moduli	modulus	NOUN
fumecheng-6927	467	17	of	of	ADP
fumecheng-6927	467	18	a	a	DET
fumecheng-6927	467	19	single	single	ADJ
fumecheng-6927	467	20	cell	cell	NOUN
fumecheng-6927	467	21	cultured	cultured	ADJ
fumecheng-6927	467	22	on	on	ADP
fumecheng-6927	467	23	a	a	DET
fumecheng-6927	467	24	rigid	rigid	ADJ
fumecheng-6927	467	25	support	support	NOUN
fumecheng-6927	467	26	by	by	ADP
fumecheng-6927	467	27	force	force	NOUN
fumecheng-6927	467	28	microscopy	microscopy	NOUN
fumecheng-6927	467	29	,	,	PUNCT
fumecheng-6927	467	30	biophysical	biophysical	ADJ
fumecheng-6927	467	31	journal	journal	NOUN
fumecheng-6927	467	32	,	,	PUNCT
fumecheng-6927	467	33	114(12	114(12	NUM
fumecheng-6927	467	34	)	)	PUNCT
fumecheng-6927	467	35	,	,	PUNCT
fumecheng-6927	467	36	pp	pp	PROPN
fumecheng-6927	467	37	.	.	PUNCT
fumecheng-6927	467	38	2923	2923	NUM
fumecheng-6927	467	39	-	-	SYM
fumecheng-6927	467	40	2932	2932	NUM
fumecheng-6927	467	41	.	.	PUNCT
fumecheng-6927	468	1	37	37	NUM
fumecheng-6927	468	2	.	.	PUNCT
fumecheng-6927	469	1	garcia	garcia	PROPN
fumecheng-6927	469	2	,	,	PUNCT
fumecheng-6927	469	3	r.	r.	PROPN
fumecheng-6927	469	4	,	,	PUNCT
fumecheng-6927	469	5	2006	2006	NUM
fumecheng-6927	469	6	,	,	PUNCT
fumecheng-6927	469	7	identification	identification	NOUN
fumecheng-6927	469	8	of	of	ADP
fumecheng-6927	469	9	nanoscale	nanoscale	NOUN
fumecheng-6927	469	10	dissipation	dissipation	NOUN
fumecheng-6927	469	11	processes	process	NOUN
fumecheng-6927	469	12	by	by	ADP
fumecheng-6927	469	13	dynamic	dynamic	ADJ
fumecheng-6927	469	14	atomic	atomic	ADJ
fumecheng-6927	469	15	force	force	NOUN
fumecheng-6927	469	16	microscopy	microscopy	NOUN
fumecheng-6927	469	17	,	,	PUNCT
fumecheng-6927	469	18	physical	physical	ADJ
fumecheng-6927	469	19	review	review	NOUN
fumecheng-6927	469	20	letters	letter	NOUN
fumecheng-6927	469	21	,	,	PUNCT
fumecheng-6927	469	22	97(1	97(1	NOUN
fumecheng-6927	469	23	)	)	PUNCT
fumecheng-6927	469	24	,	,	PUNCT
fumecheng-6927	469	25	016103	016103	NUM
fumecheng-6927	469	26	.	.	PUNCT
fumecheng-6927	470	1	38	38	NUM
fumecheng-6927	470	2	.	.	PUNCT
fumecheng-6927	471	1	herruzo	herruzo	PROPN
fumecheng-6927	471	2	,	,	PUNCT
fumecheng-6927	471	3	e.t	e.t	PROPN
fumecheng-6927	471	4	.	.	PROPN
fumecheng-6927	471	5	,	,	PUNCT
fumecheng-6927	471	6	perrino	perrino	PROPN
fumecheng-6927	471	7	,	,	PUNCT
fumecheng-6927	471	8	a.p	a.p	PROPN
fumecheng-6927	471	9	.	.	PROPN
fumecheng-6927	471	10	,	,	PUNCT
fumecheng-6927	471	11	garcia	garcia	PROPN
fumecheng-6927	471	12	,	,	PUNCT
fumecheng-6927	471	13	r.	r.	PROPN
fumecheng-6927	471	14	,	,	PUNCT
fumecheng-6927	471	15	2014	2014	NUM
fumecheng-6927	471	16	,	,	PUNCT
fumecheng-6927	471	17	fast	fast	ADJ
fumecheng-6927	471	18	nanomechanical	nanomechanical	ADJ
fumecheng-6927	471	19	spectroscopy	spectroscopy	NOUN
fumecheng-6927	471	20	of	of	ADP
fumecheng-6927	471	21	soft	soft	ADJ
fumecheng-6927	471	22	matter	matter	NOUN
fumecheng-6927	471	23	,	,	PUNCT
fumecheng-6927	471	24	nature	nature	NOUN
fumecheng-6927	471	25	communications	communication	NOUN
fumecheng-6927	471	26	,	,	PUNCT
fumecheng-6927	471	27	5(1	5(1	NUM
fumecheng-6927	471	28	)	)	PUNCT
fumecheng-6927	471	29	,	,	PUNCT
fumecheng-6927	471	30	pp	pp	ADJ
fumecheng-6927	471	31	.	.	PUNCT
fumecheng-6927	472	1	1	1	NUM
fumecheng-6927	472	2	-	-	SYM
fumecheng-6927	472	3	8	8	NUM
fumecheng-6927	472	4	.	.	NOUN
fumecheng-6927	472	5	39	39	NUM
fumecheng-6927	472	6	.	.	PUNCT
fumecheng-6927	473	1	hu	hu	PROPN
fumecheng-6927	473	2	,	,	PUNCT
fumecheng-6927	473	3	s.	s.	PROPN
fumecheng-6927	473	4	,	,	PUNCT
fumecheng-6927	473	5	raman	raman	NOUN
fumecheng-6927	473	6	,	,	PUNCT
fumecheng-6927	473	7	a.	a.	NOUN
fumecheng-6927	473	8	,	,	PUNCT
fumecheng-6927	473	9	2008	2008	NUM
fumecheng-6927	473	10	,	,	PUNCT
fumecheng-6927	473	11	inverting	invert	VERB
fumecheng-6927	473	12	amplitude	amplitude	NOUN
fumecheng-6927	473	13	and	and	CCONJ
fumecheng-6927	473	14	phase	phase	NOUN
fumecheng-6927	473	15	to	to	PART
fumecheng-6927	473	16	reconstruct	reconstruct	VERB
fumecheng-6927	473	17	tip	tip	NOUN
fumecheng-6927	473	18	–	–	PUNCT
fumecheng-6927	473	19	sample	sample	NOUN
fumecheng-6927	473	20	interaction	interaction	NOUN
fumecheng-6927	473	21	forces	force	NOUN
fumecheng-6927	473	22	in	in	ADP
fumecheng-6927	473	23	tapping	tap	VERB
fumecheng-6927	473	24	mode	mode	PROPN
fumecheng-6927	473	25	atomic	atomic	ADJ
fumecheng-6927	473	26	force	force	NOUN
fumecheng-6927	473	27	microscopy	microscopy	PROPN
fumecheng-6927	473	28	,	,	PUNCT
fumecheng-6927	473	29	nanotechnology	nanotechnology	NOUN
fumecheng-6927	473	30	,	,	PUNCT
fumecheng-6927	473	31	19(37	19(37	NUM
fumecheng-6927	473	32	)	)	PUNCT
fumecheng-6927	473	33	,	,	PUNCT
fumecheng-6927	473	34	375704	375704	NUM
fumecheng-6927	473	35	.	.	PUNCT
fumecheng-6927	474	1	40	40	NUM
fumecheng-6927	474	2	.	.	PUNCT
fumecheng-6927	474	3	forstenhäusler	forstenhäusler	NOUN
fumecheng-6927	474	4	,	,	PUNCT
fumecheng-6927	474	5	m.	m.	NOUN
fumecheng-6927	474	6	,	,	PUNCT
fumecheng-6927	474	7	lópez‐guerra	lópez‐guerra	PROPN
fumecheng-6927	474	8	,	,	PUNCT
fumecheng-6927	474	9	e.a	e.a	PROPN
fumecheng-6927	474	10	.	.	PROPN
fumecheng-6927	474	11	,	,	PUNCT
fumecheng-6927	474	12	2020	2020	NUM
fumecheng-6927	474	13	,	,	PUNCT
fumecheng-6927	474	14	j.l	j.l	PROPN
fumecheng-6927	474	15	.	.	PROPN
fumecheng-6927	474	16	afmviscoelastic	afmviscoelastic	PROPN
fumecheng-6927	474	17	github	github	PROPN
fumecheng-6927	474	18	repository	repository	NOUN
fumecheng-6927	474	19	,	,	PUNCT
fumecheng-6927	474	20	available	available	ADJ
fumecheng-6927	474	21	from	from	ADP
fumecheng-6927	474	22	:	:	PUNCT
fumecheng-6927	474	23	https://github.com/mforstenhaeusler/afmviscoelastic	https://github.com/mforstenhaeusler/afmviscoelastic	ADJ
fumecheng-6927	474	24	.	.	PUNCT
fumecheng-6927	475	1	41	41	NUM
fumecheng-6927	475	2	.	.	X
fumecheng-6927	475	3	gardner	gardner	NOUN
fumecheng-6927	475	4	,	,	PUNCT
fumecheng-6927	475	5	m.f	m.f	PROPN
fumecheng-6927	475	6	.	.	PROPN
fumecheng-6927	475	7	,	,	PUNCT
fumecheng-6927	475	8	barnes	barnes	PROPN
fumecheng-6927	475	9	,	,	PUNCT
fumecheng-6927	475	10	j.l	j.l	PROPN
fumecheng-6927	475	11	.	.	PROPN
fumecheng-6927	475	12	,	,	PUNCT
fumecheng-6927	475	13	1956	1956	NUM
fumecheng-6927	475	14	,	,	PUNCT
fumecheng-6927	475	15	transients	transient	NOUN
fumecheng-6927	475	16	in	in	ADP
fumecheng-6927	475	17	linear	linear	PROPN
fumecheng-6927	475	18	systems	system	NOUN
fumecheng-6927	475	19	studied	study	VERB
fumecheng-6927	475	20	by	by	ADP
fumecheng-6927	475	21	the	the	DET
fumecheng-6927	475	22	laplace	laplace	NOUN
fumecheng-6927	475	23	transformation	transformation	NOUN
fumecheng-6927	475	24	,	,	PUNCT
fumecheng-6927	475	25	j.	j.	PROPN
fumecheng-6927	475	26	wiley	wiley	PROPN
fumecheng-6927	475	27	&	&	CCONJ
fumecheng-6927	475	28	sons	son	NOUN
fumecheng-6927	475	29	.	.	PUNCT
fumecheng-6927	476	1	42	42	NUM
fumecheng-6927	476	2	.	.	PUNCT
fumecheng-6927	477	1	kreyszig	kreyszig	PROPN
fumecheng-6927	477	2	,	,	PUNCT
fumecheng-6927	477	3	e.	e.	PROPN
fumecheng-6927	477	4	,	,	PUNCT
fumecheng-6927	477	5	2007	2007	NUM
fumecheng-6927	477	6	,	,	PUNCT
fumecheng-6927	477	7	advanced	advanced	ADJ
fumecheng-6927	477	8	engineering	engineering	NOUN
fumecheng-6927	477	9	mathematics	mathematic	NOUN
fumecheng-6927	477	10	,	,	PUNCT
fumecheng-6927	477	11	john	john	PROPN
fumecheng-6927	477	12	wiley	wiley	PROPN
fumecheng-6927	477	13	&	&	CCONJ
fumecheng-6927	477	14	sons	son	NOUN
fumecheng-6927	477	15	.	.	PUNCT
fumecheng-6927	478	1	43	43	NUM
fumecheng-6927	478	2	.	.	PUNCT
fumecheng-6927	479	1	stroud	stroud	PROPN
fumecheng-6927	479	2	,	,	PUNCT
fumecheng-6927	479	3	k.a	k.a	PROPN
fumecheng-6927	479	4	.	.	PROPN
fumecheng-6927	479	5	,	,	PUNCT
fumecheng-6927	479	6	booth	booth	PROPN
fumecheng-6927	479	7	,	,	PUNCT
fumecheng-6927	479	8	d.j	d.j	PROPN
fumecheng-6927	479	9	.	.	PROPN
fumecheng-6927	479	10	,	,	PUNCT
fumecheng-6927	479	11	2011	2011	NUM
fumecheng-6927	479	12	,	,	PUNCT
fumecheng-6927	479	13	advanced	advanced	ADJ
fumecheng-6927	479	14	engineering	engineering	NOUN
fumecheng-6927	479	15	mathematics	mathematic	NOUN
fumecheng-6927	479	16	,	,	PUNCT
fumecheng-6927	479	17	palgrave	palgrave	PROPN
fumecheng-6927	479	18	macmillan	macmillan	PROPN
fumecheng-6927	479	19	.	.	PROPN
fumecheng-6927	480	1	44	44	NUM
fumecheng-6927	480	2	.	.	PUNCT
fumecheng-6927	481	1	brinson	brinson	PROPN
fumecheng-6927	481	2	,	,	PUNCT
fumecheng-6927	481	3	h.f	h.f	PROPN
fumecheng-6927	481	4	.	.	PROPN
fumecheng-6927	481	5	,	,	PUNCT
fumecheng-6927	481	6	brinson	brinson	PROPN
fumecheng-6927	481	7	,	,	PUNCT
fumecheng-6927	481	8	l.c	l.c	PROPN
fumecheng-6927	481	9	.	.	PROPN
fumecheng-6927	481	10	,	,	PUNCT
fumecheng-6927	481	11	2008	2008	NUM
fumecheng-6927	481	12	,	,	PUNCT
fumecheng-6927	481	13	polymer	polymer	NOUN
fumecheng-6927	481	14	engineering	engineering	NOUN
fumecheng-6927	481	15	science	science	NOUN
fumecheng-6927	481	16	and	and	CCONJ
fumecheng-6927	481	17	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	481	18	,	,	PUNCT
fumecheng-6927	481	19	springer	springer	NOUN
fumecheng-6927	481	20	.	.	PUNCT
fumecheng-6927	482	1	45	45	NUM
fumecheng-6927	482	2	.	.	X
fumecheng-6927	483	1	simon	simon	PROPN
fumecheng-6927	483	2	,	,	PUNCT
fumecheng-6927	483	3	s.l	s.l	PROPN
fumecheng-6927	483	4	.	.	PROPN
fumecheng-6927	483	5	,	,	PUNCT
fumecheng-6927	483	6	mckenna	mckenna	PROPN
fumecheng-6927	483	7	,	,	PUNCT
fumecheng-6927	483	8	g.b	g.b	PROPN
fumecheng-6927	483	9	,	,	PUNCT
fumecheng-6927	483	10	sindt	sindt	PROPN
fumecheng-6927	483	11	,	,	PUNCT
fumecheng-6927	483	12	o.	o.	NOUN
fumecheng-6927	483	13	,	,	PUNCT
fumecheng-6927	483	14	2000	2000	NUM
fumecheng-6927	483	15	,	,	PUNCT
fumecheng-6927	483	16	modeling	model	VERB
fumecheng-6927	483	17	the	the	DET
fumecheng-6927	483	18	evolution	evolution	NOUN
fumecheng-6927	483	19	of	of	ADP
fumecheng-6927	483	20	the	the	DET
fumecheng-6927	483	21	dynamic	dynamic	ADJ
fumecheng-6927	483	22	mechanical	mechanical	ADJ
fumecheng-6927	483	23	properties	property	NOUN
fumecheng-6927	483	24	of	of	ADP
fumecheng-6927	483	25	a	a	DET
fumecheng-6927	483	26	commercial	commercial	ADJ
fumecheng-6927	483	27	epoxy	epoxy	NOUN
fumecheng-6927	483	28	during	during	ADP
fumecheng-6927	483	29	cure	cure	NOUN
fumecheng-6927	483	30	after	after	ADP
fumecheng-6927	483	31	gelation	gelation	NOUN
fumecheng-6927	483	32	,	,	PUNCT
fumecheng-6927	483	33	journal	journal	NOUN
fumecheng-6927	483	34	of	of	ADP
fumecheng-6927	483	35	applied	apply	VERB
fumecheng-6927	483	36	polymer	polymer	NOUN
fumecheng-6927	483	37	science	science	NOUN
fumecheng-6927	483	38	,	,	PUNCT
fumecheng-6927	483	39	76(4	76(4	NUM
fumecheng-6927	483	40	)	)	PUNCT
fumecheng-6927	483	41	,	,	PUNCT
fumecheng-6927	483	42	pp	pp	PROPN
fumecheng-6927	483	43	.	.	PUNCT
fumecheng-6927	484	1	495	495	NUM
fumecheng-6927	484	2	-	-	SYM
fumecheng-6927	484	3	508	508	NUM
fumecheng-6927	484	4	.	.	PUNCT
fumecheng-6927	485	1	46	46	NUM
fumecheng-6927	485	2	.	.	PUNCT
fumecheng-6927	486	1	lee	lee	PROPN
fumecheng-6927	486	2	,	,	PUNCT
fumecheng-6927	486	3	e.	e.	PROPN
fumecheng-6927	486	4	,	,	PUNCT
fumecheng-6927	486	5	1995	1995	NUM
fumecheng-6927	486	6	,	,	PUNCT
fumecheng-6927	486	7	stress	stress	VERB
fumecheng-6927	486	8	analysis	analysis	NOUN
fumecheng-6927	486	9	in	in	ADP
fumecheng-6927	486	10	visco	visco	ADJ
fumecheng-6927	486	11	-	-	ADJ
fumecheng-6927	486	12	elastic	elastic	ADJ
fumecheng-6927	486	13	bodies	body	NOUN
fumecheng-6927	486	14	,	,	PUNCT
fumecheng-6927	486	15	quarterly	quarterly	ADV
fumecheng-6927	486	16	of	of	ADP
fumecheng-6927	486	17	applied	applied	ADJ
fumecheng-6927	486	18	mathematics	mathematic	NOUN
fumecheng-6927	486	19	,	,	PUNCT
fumecheng-6927	486	20	pp	pp	ADJ
fumecheng-6927	486	21	.	.	PUNCT
fumecheng-6927	487	1	183	183	NUM
fumecheng-6927	487	2	-	-	SYM
fumecheng-6927	487	3	190	190	NUM
fumecheng-6927	487	4	.	.	PUNCT
fumecheng-6927	488	1	47	47	NUM
fumecheng-6927	488	2	.	.	PUNCT
fumecheng-6927	489	1	graham	graham	PROPN
fumecheng-6927	489	2	,	,	PUNCT
fumecheng-6927	489	3	g.	g.	PROPN
fumecheng-6927	489	4	,	,	PUNCT
fumecheng-6927	489	5	1968	1968	NUM
fumecheng-6927	489	6	,	,	PUNCT
fumecheng-6927	489	7	the	the	DET
fumecheng-6927	489	8	correspondence	correspondence	NOUN
fumecheng-6927	489	9	principle	principle	NOUN
fumecheng-6927	489	10	of	of	ADP
fumecheng-6927	489	11	linear	linear	PROPN
fumecheng-6927	489	12	viscoelasticity	viscoelasticity	NOUN
fumecheng-6927	489	13	theory	theory	NOUN
fumecheng-6927	489	14	for	for	ADP
fumecheng-6927	489	15	mixed	mixed	ADJ
fumecheng-6927	489	16	boundary	boundary	ADJ
fumecheng-6927	489	17	value	value	NOUN
fumecheng-6927	489	18	problems	problem	NOUN
fumecheng-6927	489	19	involving	involve	VERB
fumecheng-6927	489	20	time	time	NOUN
fumecheng-6927	489	21	-	-	PUNCT
fumecheng-6927	489	22	dependent	dependent	ADJ
fumecheng-6927	489	23	boundary	boundary	ADJ
fumecheng-6927	489	24	regions	region	NOUN
fumecheng-6927	489	25	,	,	PUNCT
fumecheng-6927	489	26	quarterly	quarterly	ADV
fumecheng-6927	489	27	of	of	ADP
fumecheng-6927	489	28	applied	applied	ADJ
fumecheng-6927	489	29	mathematics	mathematic	NOUN
fumecheng-6927	489	30	,	,	PUNCT
fumecheng-6927	489	31	26(2	26(2	NUM
fumecheng-6927	489	32	)	)	PUNCT
fumecheng-6927	489	33	,	,	PUNCT
fumecheng-6927	489	34	pp	pp	ADP
fumecheng-6927	489	35	.	.	PUNCT
fumecheng-6927	490	1	167	167	NUM
fumecheng-6927	490	2	-	-	SYM
fumecheng-6927	490	3	174	174	NUM
fumecheng-6927	490	4	.	.	PUNCT
fumecheng-6927	491	1	48	48	NUM
fumecheng-6927	491	2	.	.	PUNCT
fumecheng-6927	492	1	popov	popov	PROPN
fumecheng-6927	492	2	,	,	PUNCT
fumecheng-6927	492	3	v.l	v.l	PROPN
fumecheng-6927	492	4	.	.	PROPN
fumecheng-6927	492	5	,	,	PUNCT
fumecheng-6927	492	6	willert	willert	PROPN
fumecheng-6927	492	7	,	,	PUNCT
fumecheng-6927	492	8	e.	e.	PROPN
fumecheng-6927	492	9	,	,	PUNCT
fumecheng-6927	492	10	heß	heß	PROPN
fumecheng-6927	492	11	,	,	PUNCT
fumecheng-6927	492	12	m.	m.	NOUN
fumecheng-6927	492	13	,	,	PUNCT
fumecheng-6927	492	14	2018	2018	NUM
fumecheng-6927	492	15	,	,	PUNCT
fumecheng-6927	492	16	method	method	NOUN
fumecheng-6927	492	17	of	of	ADP
fumecheng-6927	492	18	dimensionality	dimensionality	NOUN
fumecheng-6927	492	19	reduction	reduction	NOUN
fumecheng-6927	492	20	in	in	ADP
fumecheng-6927	492	21	contact	contact	NOUN
fumecheng-6927	492	22	mechanics	mechanic	NOUN
fumecheng-6927	492	23	and	and	CCONJ
fumecheng-6927	492	24	friction	friction	NOUN
fumecheng-6927	492	25	:	:	PUNCT
fumecheng-6927	492	26	a	a	DET
fumecheng-6927	492	27	user	user	NOUN
fumecheng-6927	492	28	’s	’s	PART
fumecheng-6927	492	29	handbook	handbook	NOUN
fumecheng-6927	492	30	.	.	PUNCT
fumecheng-6927	493	1	iii	iii	PROPN
fumecheng-6927	493	2	,	,	PUNCT
fumecheng-6927	493	3	viscoelastic	viscoelastic	ADJ
fumecheng-6927	493	4	contacts	contact	NOUN
fumecheng-6927	493	5	,	,	PUNCT
fumecheng-6927	493	6	facta	facta	PROPN
fumecheng-6927	493	7	universitatis	universitatis	PROPN
fumecheng-6927	493	8	-	-	PUNCT
fumecheng-6927	493	9	series	series	NOUN
fumecheng-6927	493	10	mechanical	mechanical	ADJ
fumecheng-6927	493	11	engineering	engineering	NOUN
fumecheng-6927	493	12	,	,	PUNCT
fumecheng-6927	493	13	16(2	16(2	NUM
fumecheng-6927	493	14	)	)	PUNCT
fumecheng-6927	493	15	,	,	PUNCT
fumecheng-6927	493	16	pp	pp	PROPN
fumecheng-6927	493	17	.	.	PUNCT
fumecheng-6927	493	18	99113	99113	NUM
fumecheng-6927	493	19	.	.	PUNCT
fumecheng-6927	494	1	49	49	NUM
fumecheng-6927	494	2	.	.	PUNCT
fumecheng-6927	495	1	meurer	meurer	PROPN
fumecheng-6927	495	2	,	,	PUNCT
fumecheng-6927	495	3	a.	a.	PROPN
fumecheng-6927	495	4	,	,	PUNCT
fumecheng-6927	495	5	smith	smith	PROPN
fumecheng-6927	495	6	,	,	PUNCT
fumecheng-6927	495	7	c.p	c.p	PROPN
fumecheng-6927	495	8	.	.	PROPN
fumecheng-6927	495	9	,	,	PUNCT
fumecheng-6927	495	10	paprocki	paprocki	PROPN
fumecheng-6927	495	11	,	,	PUNCT
fumecheng-6927	495	12	m.	m.	NOUN
fumecheng-6927	495	13	,	,	PUNCT
fumecheng-6927	495	14	čertík	čertík	ADV
fumecheng-6927	495	15	,	,	PUNCT
fumecheng-6927	495	16	o.	o.	PROPN
fumecheng-6927	495	17	,	,	PUNCT
fumecheng-6927	495	18	kirpichev	kirpichev	PROPN
fumecheng-6927	495	19	,	,	PUNCT
fumecheng-6927	495	20	s.b	s.b	PROPN
fumecheng-6927	495	21	.	.	PROPN
fumecheng-6927	495	22	,	,	PUNCT
fumecheng-6927	495	23	rocklin	rocklin	PROPN
fumecheng-6927	495	24	,	,	PUNCT
fumecheng-6927	495	25	m.	m.	NOUN
fumecheng-6927	495	26	,	,	PUNCT
fumecheng-6927	495	27	kumar	kumar	PROPN
fumecheng-6927	495	28	,	,	PUNCT
fumecheng-6927	495	29	a.	a.	PROPN
fumecheng-6927	495	30	,	,	PUNCT
fumecheng-6927	495	31	ivanov	ivanov	PROPN
fumecheng-6927	495	32	,	,	PUNCT
fumecheng-6927	495	33	s.	s.	PROPN
fumecheng-6927	495	34	,	,	PUNCT
fumecheng-6927	495	35	moore	moore	PROPN
fumecheng-6927	495	36	,	,	PUNCT
fumecheng-6927	495	37	j.k	j.k	PROPN
fumecheng-6927	495	38	.	.	PROPN
fumecheng-6927	495	39	,	,	PUNCT
fumecheng-6927	495	40	singh	singh	PROPN
fumecheng-6927	495	41	,	,	PUNCT
fumecheng-6927	495	42	s.	s.	PROPN
fumecheng-6927	495	43	rathnayake	rathnayake	PROPN
fumecheng-6927	495	44	,	,	PUNCT
fumecheng-6927	495	45	t.	t.	PROPN
fumecheng-6927	495	46	,	,	PUNCT
fumecheng-6927	495	47	2017	2017	NUM
fumecheng-6927	495	48	,	,	PUNCT
fumecheng-6927	495	49	sympy	sympy	PROPN
fumecheng-6927	495	50	:	:	PUNCT
fumecheng-6927	495	51	symbolic	symbolic	ADJ
fumecheng-6927	495	52	computing	computing	NOUN
fumecheng-6927	495	53	in	in	ADP
fumecheng-6927	495	54	python	python	PROPN
fumecheng-6927	495	55	,	,	PUNCT
fumecheng-6927	495	56	peerj	peerj	NOUN
fumecheng-6927	495	57	computer	computer	NOUN
fumecheng-6927	495	58	science	science	NOUN
fumecheng-6927	495	59	,	,	PUNCT
fumecheng-6927	495	60	3	3	NUM
fumecheng-6927	495	61	,	,	PUNCT
fumecheng-6927	495	62	103	103	NUM
fumecheng-6927	495	63	.	.	X
fumecheng-6927	496	1	50	50	NUM
fumecheng-6927	496	2	.	.	PUNCT
fumecheng-6927	497	1	argatov	argatov	PROPN
fumecheng-6927	497	2	,	,	PUNCT
fumecheng-6927	497	3	i.i	i.i	PROPN
fumecheng-6927	497	4	.	.	PROPN
fumecheng-6927	497	5	,	,	PUNCT
fumecheng-6927	497	6	popov	popov	PROPN
fumecheng-6927	497	7	,	,	PUNCT
fumecheng-6927	497	8	v.l	v.l	PROPN
fumecheng-6927	497	9	.	.	PROPN
fumecheng-6927	497	10	,	,	PUNCT
fumecheng-6927	497	11	2016	2016	NUM
fumecheng-6927	497	12	,	,	PUNCT
fumecheng-6927	497	13	rebound	rebound	VERB
fumecheng-6927	497	14	indentation	indentation	NOUN
fumecheng-6927	497	15	problem	problem	NOUN
fumecheng-6927	497	16	for	for	ADP
fumecheng-6927	497	17	a	a	DET
fumecheng-6927	497	18	viscoelastic	viscoelastic	ADJ
fumecheng-6927	497	19	half‐space	half‐space	NOUN
fumecheng-6927	497	20	and	and	CCONJ
fumecheng-6927	497	21	axisymmetric	axisymmetric	ADJ
fumecheng-6927	497	22	indenter	indenter	NOUN
fumecheng-6927	497	23	—	—	PUNCT
fumecheng-6927	497	24	solution	solution	NOUN
fumecheng-6927	497	25	by	by	ADP
fumecheng-6927	497	26	the	the	DET
fumecheng-6927	497	27	method	method	NOUN
fumecheng-6927	497	28	of	of	ADP
fumecheng-6927	497	29	dimensionality	dimensionality	NOUN
fumecheng-6927	497	30	reduction	reduction	NOUN
fumecheng-6927	497	31	,	,	PUNCT
fumecheng-6927	497	32	zamm‐journal	zamm‐journal	NOUN
fumecheng-6927	497	33	of	of	ADP
fumecheng-6927	497	34	applied	apply	VERB
fumecheng-6927	497	35	mathematics	mathematic	NOUN
fumecheng-6927	497	36	and	and	CCONJ
fumecheng-6927	497	37	mechanics	mechanic	NOUN
fumecheng-6927	497	38	/	/	SYM
fumecheng-6927	497	39	zeitschrift	zeitschrift	PROPN
fumecheng-6927	497	40	für	für	PROPN
fumecheng-6927	497	41	angewandte	angewandte	PROPN
fumecheng-6927	497	42	mathematik	mathematik	PROPN
fumecheng-6927	497	43	und	und	PROPN
fumecheng-6927	497	44	mechanik	mechanik	PROPN
fumecheng-6927	497	45	,	,	PUNCT
fumecheng-6927	497	46	96(8	96(8	NUM
fumecheng-6927	497	47	)	)	PUNCT
fumecheng-6927	497	48	,	,	PUNCT
fumecheng-6927	497	49	pp	pp	ADP
fumecheng-6927	497	50	.	.	PUNCT
fumecheng-6927	498	1	956	956	NUM
fumecheng-6927	498	2	-	-	SYM
fumecheng-6927	498	3	967	967	NUM
fumecheng-6927	498	4	.	.	PUNCT
fumecheng-6927	499	1	51	51	NUM
fumecheng-6927	499	2	.	.	PUNCT
fumecheng-6927	500	1	khan	khan	PROPN
fumecheng-6927	500	2	,	,	PUNCT
fumecheng-6927	500	3	i.r	i.r	PROPN
fumecheng-6927	500	4	.	.	PROPN
fumecheng-6927	500	5	,	,	PUNCT
fumecheng-6927	500	6	ohba	ohba	PROPN
fumecheng-6927	500	7	,	,	PUNCT
fumecheng-6927	500	8	r.	r.	PROPN
fumecheng-6927	500	9	,	,	PUNCT
fumecheng-6927	500	10	2003	2003	NUM
fumecheng-6927	500	11	,	,	PUNCT
fumecheng-6927	500	12	taylor	taylor	PROPN
fumecheng-6927	500	13	series	series	PROPN
fumecheng-6927	500	14	based	base	VERB
fumecheng-6927	500	15	finite	finite	ADJ
fumecheng-6927	500	16	difference	difference	NOUN
fumecheng-6927	500	17	approximations	approximation	NOUN
fumecheng-6927	500	18	of	of	ADP
fumecheng-6927	500	19	higher	high	ADJ
fumecheng-6927	500	20	-	-	PUNCT
fumecheng-6927	500	21	degree	degree	NOUN
fumecheng-6927	500	22	derivatives	derivative	NOUN
fumecheng-6927	500	23	,	,	PUNCT
fumecheng-6927	500	24	journal	journal	NOUN
fumecheng-6927	500	25	of	of	ADP
fumecheng-6927	500	26	computational	computational	ADJ
fumecheng-6927	500	27	and	and	CCONJ
fumecheng-6927	500	28	applied	applied	ADJ
fumecheng-6927	500	29	mathematics	mathematic	NOUN
fumecheng-6927	500	30	,	,	PUNCT
fumecheng-6927	500	31	154(1	154(1	NUM
fumecheng-6927	500	32	)	)	PUNCT
fumecheng-6927	500	33	,	,	PUNCT
fumecheng-6927	500	34	pp	pp	PROPN
fumecheng-6927	500	35	.	.	PUNCT
fumecheng-6927	501	1	115	115	NUM
fumecheng-6927	501	2	-	-	SYM
fumecheng-6927	501	3	124	124	NUM
fumecheng-6927	501	4	.	.	PUNCT
fumecheng-6927	502	1	52	52	NUM
fumecheng-6927	502	2	.	.	PUNCT
fumecheng-6927	503	1	grubmüller	grubmüller	NOUN
fumecheng-6927	503	2	,	,	PUNCT
fumecheng-6927	503	3	h.	h.	PROPN
fumecheng-6927	503	4	,	,	PUNCT
fumecheng-6927	503	5	1991	1991	NUM
fumecheng-6927	503	6	,	,	PUNCT
fumecheng-6927	503	7	generalized	generalize	VERB
fumecheng-6927	503	8	verlet	verlet	NOUN
fumecheng-6927	503	9	algorithm	algorithm	NOUN
fumecheng-6927	503	10	for	for	ADP
fumecheng-6927	503	11	efficient	efficient	ADJ
fumecheng-6927	503	12	molecular	molecular	ADJ
fumecheng-6927	503	13	dynamics	dynamic	NOUN
fumecheng-6927	503	14	simulations	simulation	NOUN
fumecheng-6927	503	15	with	with	ADP
fumecheng-6927	503	16	longrange	longrange	PROPN
fumecheng-6927	503	17	interactions	interaction	NOUN
fumecheng-6927	503	18	,	,	PUNCT
fumecheng-6927	503	19	molecular	molecular	ADJ
fumecheng-6927	503	20	simulation	simulation	NOUN
fumecheng-6927	503	21	,	,	PUNCT
fumecheng-6927	503	22	6(1	6(1	NUM
fumecheng-6927	503	23	-	-	SYM
fumecheng-6927	503	24	3	3	NUM
fumecheng-6927	503	25	)	)	PUNCT
fumecheng-6927	503	26	,	,	PUNCT
fumecheng-6927	504	1	pp	pp	PROPN
fumecheng-6927	504	2	.	.	PUNCT
fumecheng-6927	505	1	121	121	NUM
fumecheng-6927	505	2	-	-	SYM
fumecheng-6927	505	3	142	142	NUM
fumecheng-6927	505	4	.	.	PUNCT