id	sid	tid	token	lemma	pos
fumecheng-751	1	1	plane	plane	NOUN
fumecheng-751	1	2	thermoelastic	thermoelastic	ADJ
fumecheng-751	1	3	waves	wave	NOUN
fumecheng-751	1	4	in	in	ADP
fumecheng-751	1	5	infinite	infinite	ADJ
fumecheng-751	1	6	half	half	ADJ
fumecheng-751	1	7	-	-	PUNCT
fumecheng-751	1	8	space	space	NOUN
fumecheng-751	1	9	caused	cause	VERB
fumecheng-751	1	10	facta	facta	PROPN
fumecheng-751	1	11	universitatis	universitatis	PROPN
fumecheng-751	1	12	series	series	NOUN
fumecheng-751	1	13	:	:	PUNCT
fumecheng-751	1	14	mechanical	mechanical	ADJ
fumecheng-751	1	15	engineering	engineering	NOUN
fumecheng-751	1	16	vol	vol	NOUN
fumecheng-751	1	17	.	.	PROPN
fumecheng-751	2	1	13	13	NUM
fumecheng-751	2	2	,	,	PUNCT
fumecheng-751	2	3	no	no	DET
fumecheng-751	2	4	1	1	NUM
fumecheng-751	2	5	,	,	PUNCT
fumecheng-751	2	6	2015	2015	NUM
fumecheng-751	2	7	,	,	PUNCT
fumecheng-751	2	8	pp	pp	ADV
fumecheng-751	2	9	.	.	PUNCT
fumecheng-751	3	1	39	39	NUM
fumecheng-751	3	2	46	46	NUM
fumecheng-751	3	3	1analysis	1analysis	NUM
fumecheng-751	3	4	of	of	ADP
fumecheng-751	3	5	impact	impact	NOUN
fumecheng-751	3	6	on	on	ADP
fumecheng-751	3	7	composite	composite	ADJ
fumecheng-751	3	8	structures	structure	NOUN
fumecheng-751	3	9	with	with	ADP
fumecheng-751	3	10	the	the	DET
fumecheng-751	3	11	method	method	NOUN
fumecheng-751	3	12	of	of	ADP
fumecheng-751	3	13	dimensionality	dimensionality	NOUN
fumecheng-751	3	14	reduction	reduction	NOUN
fumecheng-751	3	15	udc	udc	NOUN
fumecheng-751	3	16	539.3	539.3	NUM
fumecheng-751	3	17	valentin	valentin	PROPN
fumecheng-751	3	18	l.	l.	PROPN
fumecheng-751	3	19	popov	popov	PROPN
fumecheng-751	3	20	berlin	berlin	PROPN
fumecheng-751	3	21	university	university	PROPN
fumecheng-751	3	22	of	of	ADP
fumecheng-751	3	23	technology	technology	PROPN
fumecheng-751	3	24	,	,	PUNCT
fumecheng-751	3	25	germany	germany	PROPN
fumecheng-751	3	26	national	national	PROPN
fumecheng-751	3	27	research	research	PROPN
fumecheng-751	3	28	tomsk	tomsk	PROPN
fumecheng-751	3	29	state	state	PROPN
fumecheng-751	3	30	university	university	PROPN
fumecheng-751	3	31	,	,	PUNCT
fumecheng-751	3	32	russia	russia	PROPN
fumecheng-751	3	33	abstract	abstract	NOUN
fumecheng-751	3	34	.	.	PUNCT
fumecheng-751	4	1	in	in	ADP
fumecheng-751	4	2	the	the	DET
fumecheng-751	4	3	present	present	ADJ
fumecheng-751	4	4	paper	paper	NOUN
fumecheng-751	4	5	,	,	PUNCT
fumecheng-751	4	6	we	we	PRON
fumecheng-751	4	7	discuss	discuss	VERB
fumecheng-751	4	8	the	the	DET
fumecheng-751	4	9	impact	impact	NOUN
fumecheng-751	4	10	of	of	ADP
fumecheng-751	4	11	rigid	rigid	ADJ
fumecheng-751	4	12	profiles	profile	NOUN
fumecheng-751	4	13	on	on	ADP
fumecheng-751	4	14	continua	continuum	NOUN
fumecheng-751	4	15	with	with	ADP
fumecheng-751	4	16	non	non	ADJ
fumecheng-751	4	17	-	-	ADJ
fumecheng-751	4	18	local	local	ADJ
fumecheng-751	4	19	criteria	criterion	NOUN
fumecheng-751	4	20	for	for	ADP
fumecheng-751	4	21	plastic	plastic	ADJ
fumecheng-751	4	22	yield	yield	NOUN
fumecheng-751	4	23	.	.	PUNCT
fumecheng-751	5	1	for	for	ADP
fumecheng-751	5	2	the	the	DET
fumecheng-751	5	3	important	important	ADJ
fumecheng-751	5	4	case	case	NOUN
fumecheng-751	5	5	of	of	ADP
fumecheng-751	5	6	media	medium	NOUN
fumecheng-751	5	7	whose	whose	DET
fumecheng-751	5	8	hardness	hardness	NOUN
fumecheng-751	5	9	is	be	AUX
fumecheng-751	5	10	inversely	inversely	ADV
fumecheng-751	5	11	proportional	proportional	ADJ
fumecheng-751	5	12	to	to	ADP
fumecheng-751	5	13	the	the	DET
fumecheng-751	5	14	indentation	indentation	NOUN
fumecheng-751	5	15	radius	radius	NOUN
fumecheng-751	5	16	,	,	PUNCT
fumecheng-751	5	17	we	we	PRON
fumecheng-751	5	18	suggest	suggest	VERB
fumecheng-751	5	19	a	a	DET
fumecheng-751	5	20	rigorous	rigorous	ADJ
fumecheng-751	5	21	treatment	treatment	NOUN
fumecheng-751	5	22	based	base	VERB
fumecheng-751	5	23	on	on	ADP
fumecheng-751	5	24	the	the	DET
fumecheng-751	5	25	method	method	NOUN
fumecheng-751	5	26	of	of	ADP
fumecheng-751	5	27	dimensionality	dimensionality	NOUN
fumecheng-751	5	28	reduction	reduction	NOUN
fumecheng-751	5	29	(	(	PUNCT
fumecheng-751	5	30	mdr	mdr	NOUN
fumecheng-751	5	31	)	)	PUNCT
fumecheng-751	5	32	and	and	CCONJ
fumecheng-751	5	33	study	study	VERB
fumecheng-751	5	34	the	the	DET
fumecheng-751	5	35	example	example	NOUN
fumecheng-751	5	36	of	of	ADP
fumecheng-751	5	37	indentation	indentation	NOUN
fumecheng-751	5	38	by	by	ADP
fumecheng-751	5	39	a	a	DET
fumecheng-751	5	40	conical	conical	ADJ
fumecheng-751	5	41	profile	profile	NOUN
fumecheng-751	5	42	.	.	PUNCT
fumecheng-751	6	1	key	key	ADJ
fumecheng-751	6	2	words	word	NOUN
fumecheng-751	6	3	:	:	PUNCT
fumecheng-751	6	4	contact	contact	NOUN
fumecheng-751	6	5	mechanics	mechanic	NOUN
fumecheng-751	6	6	,	,	PUNCT
fumecheng-751	6	7	impact	impact	NOUN
fumecheng-751	6	8	,	,	PUNCT
fumecheng-751	6	9	plasticity	plasticity	NOUN
fumecheng-751	6	10	,	,	PUNCT
fumecheng-751	6	11	non	non	ADJ
fumecheng-751	6	12	-	-	ADJ
fumecheng-751	6	13	local	local	ADJ
fumecheng-751	6	14	constitutive	constitutive	ADJ
fumecheng-751	6	15	relations	relation	NOUN
fumecheng-751	6	16	,	,	PUNCT
fumecheng-751	6	17	roughness	roughness	NOUN
fumecheng-751	6	18	,	,	PUNCT
fumecheng-751	6	19	reduction	reduction	NOUN
fumecheng-751	6	20	of	of	ADP
fumecheng-751	6	21	dimensionality	dimensionality	NOUN
fumecheng-751	6	22	1	1	NUM
fumecheng-751	6	23	.	.	PUNCT
fumecheng-751	7	1	introduction	introduction	NOUN
fumecheng-751	7	2	constitutive	constitutive	ADJ
fumecheng-751	7	3	relations	relation	NOUN
fumecheng-751	7	4	for	for	ADP
fumecheng-751	7	5	materials	material	NOUN
fumecheng-751	7	6	are	be	AUX
fumecheng-751	7	7	mostly	mostly	ADV
fumecheng-751	7	8	formulated	formulate	VERB
fumecheng-751	7	9	in	in	ADP
fumecheng-751	7	10	terms	term	NOUN
fumecheng-751	7	11	of	of	ADP
fumecheng-751	7	12	stresses	stress	NOUN
fumecheng-751	7	13	and	and	CCONJ
fumecheng-751	7	14	deformations	deformation	NOUN
fumecheng-751	7	15	.	.	PUNCT
fumecheng-751	8	1	correspondingly	correspondingly	ADV
fumecheng-751	8	2	,	,	PUNCT
fumecheng-751	8	3	the	the	DET
fumecheng-751	8	4	critical	critical	ADJ
fumecheng-751	8	5	behavior	behavior	NOUN
fumecheng-751	8	6	of	of	ADP
fumecheng-751	8	7	materials	material	NOUN
fumecheng-751	8	8	is	be	AUX
fumecheng-751	8	9	generally	generally	ADV
fumecheng-751	8	10	described	describe	VERB
fumecheng-751	8	11	by	by	ADP
fumecheng-751	8	12	parameters	parameter	NOUN
fumecheng-751	8	13	having	have	VERB
fumecheng-751	8	14	the	the	DET
fumecheng-751	8	15	dimension	dimension	NOUN
fumecheng-751	8	16	of	of	ADP
fumecheng-751	8	17	stress	stress	NOUN
fumecheng-751	8	18	such	such	ADJ
fumecheng-751	8	19	as	as	ADP
fumecheng-751	8	20	yield	yield	NOUN
fumecheng-751	8	21	stress	stress	NOUN
fumecheng-751	8	22	,	,	PUNCT
fumecheng-751	8	23	fracture	fracture	NOUN
fumecheng-751	8	24	stress	stress	NOUN
fumecheng-751	8	25	or	or	CCONJ
fumecheng-751	8	26	hardness	hardness	NOUN
fumecheng-751	8	27	.	.	PUNCT
fumecheng-751	9	1	further	far	ADV
fumecheng-751	9	2	,	,	PUNCT
fumecheng-751	9	3	the	the	DET
fumecheng-751	9	4	constitutive	constitutive	ADJ
fumecheng-751	9	5	relations	relation	NOUN
fumecheng-751	9	6	are	be	AUX
fumecheng-751	9	7	in	in	ADP
fumecheng-751	9	8	most	most	ADJ
fumecheng-751	9	9	cases	case	NOUN
fumecheng-751	9	10	assumed	assume	VERB
fumecheng-751	9	11	to	to	PART
fumecheng-751	9	12	be	be	AUX
fumecheng-751	9	13	local	local	ADJ
fumecheng-751	9	14	relations	relation	NOUN
fumecheng-751	9	15	.	.	PUNCT
fumecheng-751	10	1	however	however	ADV
fumecheng-751	10	2	,	,	PUNCT
fumecheng-751	10	3	it	it	PRON
fumecheng-751	10	4	is	be	AUX
fumecheng-751	10	5	well	well	ADV
fumecheng-751	10	6	known	know	VERB
fumecheng-751	10	7	that	that	SCONJ
fumecheng-751	10	8	the	the	DET
fumecheng-751	10	9	processes	process	NOUN
fumecheng-751	10	10	of	of	ADP
fumecheng-751	10	11	plastic	plastic	ADJ
fumecheng-751	10	12	deformation	deformation	NOUN
fumecheng-751	10	13	,	,	PUNCT
fumecheng-751	10	14	damage	damage	NOUN
fumecheng-751	10	15	and	and	CCONJ
fumecheng-751	10	16	fracture	fracture	NOUN
fumecheng-751	10	17	,	,	PUNCT
fumecheng-751	10	18	independently	independently	ADV
fumecheng-751	10	19	of	of	ADP
fumecheng-751	10	20	the	the	DET
fumecheng-751	10	21	detailed	detailed	ADJ
fumecheng-751	10	22	mechanism	mechanism	NOUN
fumecheng-751	10	23	,	,	PUNCT
fumecheng-751	10	24	are	be	AUX
fumecheng-751	10	25	always	always	ADV
fumecheng-751	10	26	non	non	ADJ
fumecheng-751	10	27	-	-	ADJ
fumecheng-751	10	28	local	local	ADJ
fumecheng-751	10	29	processes	process	NOUN
fumecheng-751	10	30	.	.	PUNCT
fumecheng-751	11	1	for	for	ADP
fumecheng-751	11	2	dislocation	dislocation	NOUN
fumecheng-751	11	3	plasticity	plasticity	NOUN
fumecheng-751	11	4	,	,	PUNCT
fumecheng-751	11	5	this	this	PRON
fumecheng-751	11	6	immediately	immediately	ADV
fumecheng-751	11	7	follows	follow	VERB
fumecheng-751	11	8	from	from	ADP
fumecheng-751	11	9	the	the	DET
fumecheng-751	11	10	mechanism	mechanism	NOUN
fumecheng-751	11	11	of	of	ADP
fumecheng-751	11	12	deformation	deformation	NOUN
fumecheng-751	11	13	by	by	ADP
fumecheng-751	11	14	formation	formation	NOUN
fumecheng-751	11	15	of	of	ADP
fumecheng-751	11	16	shear	shear	NOUN
fumecheng-751	11	17	zones	zone	NOUN
fumecheng-751	11	18	[	[	X
fumecheng-751	11	19	1	1	NUM
fumecheng-751	11	20	]	]	PUNCT
fumecheng-751	11	21	.	.	PUNCT
fumecheng-751	12	1	each	each	DET
fumecheng-751	12	2	elementary	elementary	ADJ
fumecheng-751	12	3	event	event	NOUN
fumecheng-751	12	4	of	of	ADP
fumecheng-751	12	5	plastic	plastic	ADJ
fumecheng-751	12	6	deformation	deformation	NOUN
fumecheng-751	12	7	is	be	AUX
fumecheng-751	12	8	a	a	DET
fumecheng-751	12	9	nonlocal	nonlocal	ADJ
fumecheng-751	12	10	process	process	NOUN
fumecheng-751	12	11	[	[	X
fumecheng-751	12	12	2	2	NUM
fumecheng-751	12	13	,	,	PUNCT
fumecheng-751	12	14	3	3	NUM
fumecheng-751	12	15	]	]	PUNCT
fumecheng-751	12	16	.	.	PUNCT
fumecheng-751	13	1	the	the	DET
fumecheng-751	13	2	same	same	ADJ
fumecheng-751	13	3	is	be	AUX
fumecheng-751	13	4	valid	valid	ADJ
fumecheng-751	13	5	for	for	ADP
fumecheng-751	13	6	fracture	fracture	NOUN
fumecheng-751	13	7	processes	process	NOUN
fumecheng-751	13	8	:	:	PUNCT
fumecheng-751	13	9	both	both	CCONJ
fumecheng-751	13	10	the	the	DET
fumecheng-751	13	11	initial	initial	ADJ
fumecheng-751	13	12	concept	concept	NOUN
fumecheng-751	13	13	of	of	ADP
fumecheng-751	13	14	griffith	griffith	PROPN
fumecheng-751	14	1	[	[	X
fumecheng-751	14	2	4	4	X
fumecheng-751	14	3	]	]	PUNCT
fumecheng-751	14	4	and	and	CCONJ
fumecheng-751	14	5	its	its	PRON
fumecheng-751	14	6	later	later	ADJ
fumecheng-751	14	7	microscopic	microscopic	NOUN
fumecheng-751	14	8	[	[	X
fumecheng-751	14	9	5	5	NUM
fumecheng-751	14	10	]	]	PUNCT
fumecheng-751	14	11	and	and	CCONJ
fumecheng-751	14	12	macroscopic	macroscopic	ADJ
fumecheng-751	14	13	[	[	PUNCT
fumecheng-751	14	14	6	6	NUM
fumecheng-751	14	15	]	]	PUNCT
fumecheng-751	14	16	generalizations	generalization	NOUN
fumecheng-751	14	17	are	be	AUX
fumecheng-751	14	18	intrinsically	intrinsically	ADV
fumecheng-751	14	19	non	non	ADJ
fumecheng-751	14	20	-	-	ADJ
fumecheng-751	14	21	local	local	ADJ
fumecheng-751	14	22	.	.	PUNCT
fumecheng-751	15	1	in	in	ADP
fumecheng-751	15	2	the	the	DET
fumecheng-751	15	3	past	past	NOUN
fumecheng-751	15	4	,	,	PUNCT
fumecheng-751	15	5	there	there	PRON
fumecheng-751	15	6	was	be	VERB
fumecheng-751	15	7	much	much	ADJ
fumecheng-751	15	8	effort	effort	NOUN
fumecheng-751	15	9	to	to	PART
fumecheng-751	15	10	address	address	VERB
fumecheng-751	15	11	the	the	DET
fumecheng-751	15	12	non	non	ADJ
fumecheng-751	15	13	-	-	NOUN
fumecheng-751	15	14	locality	locality	NOUN
fumecheng-751	15	15	in	in	ADP
fumecheng-751	15	16	the	the	DET
fumecheng-751	15	17	frame	frame	NOUN
fumecheng-751	15	18	of	of	ADP
fumecheng-751	15	19	gradient	gradient	ADJ
fumecheng-751	15	20	generalizations	generalization	NOUN
fumecheng-751	15	21	of	of	ADP
fumecheng-751	15	22	both	both	DET
fumecheng-751	15	23	theory	theory	NOUN
fumecheng-751	15	24	of	of	ADP
fumecheng-751	15	25	elasticity	elasticity	NOUN
fumecheng-751	15	26	and	and	CCONJ
fumecheng-751	15	27	plasticity	plasticity	NOUN
fumecheng-751	15	28	[	[	X
fumecheng-751	15	29	7	7	NUM
fumecheng-751	15	30	,	,	PUNCT
fumecheng-751	15	31	8	8	NUM
fumecheng-751	15	32	,	,	PUNCT
fumecheng-751	15	33	9	9	NUM
fumecheng-751	15	34	,	,	PUNCT
fumecheng-751	15	35	10	10	NUM
fumecheng-751	15	36	]	]	PUNCT
fumecheng-751	15	37	.	.	PUNCT
fumecheng-751	16	1	practitioners	practitioner	NOUN
fumecheng-751	16	2	often	often	ADV
fumecheng-751	16	3	take	take	VERB
fumecheng-751	16	4	the	the	DET
fumecheng-751	16	5	non	non	ADJ
fumecheng-751	16	6	-	-	NOUN
fumecheng-751	16	7	locality	locality	NOUN
fumecheng-751	16	8	into	into	ADP
fumecheng-751	16	9	account	account	NOUN
fumecheng-751	16	10	by	by	ADP
fumecheng-751	16	11	introducing	introduce	VERB
fumecheng-751	16	12	critical	critical	ADJ
fumecheng-751	16	13	stresses	stress	NOUN
fumecheng-751	16	14	received	receive	VERB
fumecheng-751	16	15	january	january	PROPN
fumecheng-751	16	16	02	02	NUM
fumecheng-751	16	17	,	,	PUNCT
fumecheng-751	16	18	2015	2015	NUM
fumecheng-751	16	19	/	/	SYM
fumecheng-751	16	20	accepted	accept	VERB
fumecheng-751	16	21	february	february	PROPN
fumecheng-751	16	22	1	1	NUM
fumecheng-751	16	23	,	,	PUNCT
fumecheng-751	16	24	2015	2015	NUM
fumecheng-751	16	25	corresponding	correspond	VERB
fumecheng-751	16	26	author	author	NOUN
fumecheng-751	16	27	:	:	PUNCT
fumecheng-751	16	28	valentin	valentin	PROPN
fumecheng-751	16	29	popov	popov	PROPN
fumecheng-751	16	30	berlin	berlin	PROPN
fumecheng-751	16	31	university	university	PROPN
fumecheng-751	16	32	of	of	ADP
fumecheng-751	16	33	technology	technology	NOUN
fumecheng-751	16	34	,	,	PUNCT
fumecheng-751	16	35	10623	10623	NUM
fumecheng-751	16	36	berlin	berlin	PROPN
fumecheng-751	16	37	,	,	PUNCT
fumecheng-751	16	38	germany	germany	PROPN
fumecheng-751	16	39	;	;	PUNCT
fumecheng-751	16	40	national	national	ADJ
fumecheng-751	16	41	research	research	PROPN
fumecheng-751	16	42	tomsk	tomsk	PROPN
fumecheng-751	16	43	state	state	PROPN
fumecheng-751	16	44	university	university	PROPN
fumecheng-751	16	45	,	,	PUNCT
fumecheng-751	16	46	634050	634050	NUM
fumecheng-751	16	47	tomsk	tomsk	PROPN
fumecheng-751	16	48	,	,	PUNCT
fumecheng-751	16	49	russia	russia	PROPN
fumecheng-751	16	50	e	e	NOUN
fumecheng-751	16	51	-	-	NOUN
fumecheng-751	16	52	mail	mail	NOUN
fumecheng-751	16	53	:	:	PUNCT
fumecheng-751	16	54	v.popov@tu-berlin.de	v.popov@tu-berlin.de	NUM
fumecheng-751	16	55	original	original	ADJ
fumecheng-751	16	56	scientific	scientific	ADJ
fumecheng-751	16	57	paper	paper	NOUN
fumecheng-751	16	58	40	40	NUM
fumecheng-751	17	1	v.l	v.l	PROPN
fumecheng-751	17	2	.	.	PROPN
fumecheng-751	17	3	popov	popov	PROPN
fumecheng-751	17	4	depending	depend	VERB
fumecheng-751	17	5	on	on	ADP
fumecheng-751	17	6	the	the	DET
fumecheng-751	17	7	size	size	NOUN
fumecheng-751	17	8	of	of	ADP
fumecheng-751	17	9	the	the	DET
fumecheng-751	17	10	system	system	NOUN
fumecheng-751	17	11	or	or	CCONJ
fumecheng-751	17	12	the	the	DET
fumecheng-751	17	13	size	size	NOUN
fumecheng-751	17	14	(	(	PUNCT
fumecheng-751	17	15	or	or	CCONJ
fumecheng-751	17	16	depth	depth	NOUN
fumecheng-751	17	17	)	)	PUNCT
fumecheng-751	17	18	of	of	ADP
fumecheng-751	17	19	indentation	indentation	NOUN
fumecheng-751	17	20	.	.	PUNCT
fumecheng-751	18	1	thus	thus	ADV
fumecheng-751	18	2	,	,	PUNCT
fumecheng-751	18	3	in	in	ADP
fumecheng-751	18	4	[	[	X
fumecheng-751	18	5	12	12	NUM
fumecheng-751	18	6	]	]	PUNCT
fumecheng-751	18	7	,	,	PUNCT
fumecheng-751	18	8	it	it	PRON
fumecheng-751	18	9	is	be	AUX
fumecheng-751	18	10	shown	show	VERB
fumecheng-751	18	11	that	that	SCONJ
fumecheng-751	18	12	the	the	DET
fumecheng-751	18	13	strength	strength	NOUN
fumecheng-751	18	14	of	of	ADP
fumecheng-751	18	15	micro	micro	ADJ
fumecheng-751	18	16	contacts	contact	NOUN
fumecheng-751	18	17	of	of	ADP
fumecheng-751	18	18	au	au	NOUN
fumecheng-751	18	19	-	-	PUNCT
fumecheng-751	18	20	au	au	ADJ
fumecheng-751	18	21	and	and	CCONJ
fumecheng-751	18	22	au	au	NOUN
fumecheng-751	18	23	-	-	PUNCT
fumecheng-751	18	24	pt	pt	NOUN
fumecheng-751	18	25	is	be	AUX
fumecheng-751	18	26	proportional	proportional	ADJ
fumecheng-751	18	27	to	to	ADP
fumecheng-751	18	28	the	the	DET
fumecheng-751	18	29	contact	contact	NOUN
fumecheng-751	18	30	radius	radius	NOUN
fumecheng-751	18	31	for	for	ADP
fumecheng-751	18	32	the	the	DET
fumecheng-751	18	33	contact	contact	NOUN
fumecheng-751	18	34	radiuses	radius	NOUN
fumecheng-751	18	35	between	between	ADP
fumecheng-751	18	36	10	10	NUM
fumecheng-751	18	37	and	and	CCONJ
fumecheng-751	18	38	100	100	NUM
fumecheng-751	18	39	nm	nm	NOUN
fumecheng-751	18	40	,	,	PUNCT
fumecheng-751	18	41	meaning	mean	VERB
fumecheng-751	18	42	that	that	SCONJ
fumecheng-751	18	43	the	the	DET
fumecheng-751	18	44	“	"	PUNCT
fumecheng-751	18	45	fracture	fracture	ADJ
fumecheng-751	18	46	stress	stress	NOUN
fumecheng-751	18	47	”	"	PUNCT
fumecheng-751	18	48	is	be	AUX
fumecheng-751	18	49	inversely	inversely	ADV
fumecheng-751	18	50	proportional	proportional	ADJ
fumecheng-751	18	51	to	to	ADP
fumecheng-751	18	52	the	the	DET
fumecheng-751	18	53	contact	contact	NOUN
fumecheng-751	18	54	radius	radius	NOUN
fumecheng-751	18	55	.	.	PUNCT
fumecheng-751	19	1	while	while	SCONJ
fumecheng-751	19	2	for	for	ADP
fumecheng-751	19	3	metals	metal	NOUN
fumecheng-751	19	4	this	this	DET
fumecheng-751	19	5	size	size	NOUN
fumecheng-751	19	6	dependence	dependence	NOUN
fumecheng-751	19	7	is	be	AUX
fumecheng-751	19	8	observed	observe	VERB
fumecheng-751	19	9	only	only	ADV
fumecheng-751	19	10	at	at	ADP
fumecheng-751	19	11	a	a	DET
fumecheng-751	19	12	sufficiently	sufficiently	ADV
fumecheng-751	19	13	small	small	ADJ
fumecheng-751	19	14	scale	scale	NOUN
fumecheng-751	19	15	,	,	PUNCT
fumecheng-751	19	16	for	for	ADP
fumecheng-751	19	17	composites	composite	NOUN
fumecheng-751	19	18	it	it	PRON
fumecheng-751	19	19	can	can	AUX
fumecheng-751	19	20	be	be	AUX
fumecheng-751	19	21	valid	valid	ADJ
fumecheng-751	19	22	already	already	ADV
fumecheng-751	19	23	at	at	ADP
fumecheng-751	19	24	the	the	DET
fumecheng-751	19	25	macroscopic	macroscopic	ADJ
fumecheng-751	19	26	scale	scale	NOUN
fumecheng-751	19	27	.	.	PUNCT
fumecheng-751	20	1	the	the	DET
fumecheng-751	20	2	same	same	ADJ
fumecheng-751	20	3	is	be	AUX
fumecheng-751	20	4	valid	valid	ADJ
fumecheng-751	20	5	for	for	ADP
fumecheng-751	20	6	plastic	plastic	NOUN
fumecheng-751	20	7	yielding	yielding	NOUN
fumecheng-751	20	8	:	:	PUNCT
fumecheng-751	20	9	the	the	DET
fumecheng-751	20	10	nonlocal	nonlocal	ADJ
fumecheng-751	20	11	nature	nature	NOUN
fumecheng-751	20	12	of	of	ADP
fumecheng-751	20	13	plastic	plastic	ADJ
fumecheng-751	20	14	deformation	deformation	NOUN
fumecheng-751	20	15	leads	lead	VERB
fumecheng-751	20	16	to	to	ADP
fumecheng-751	20	17	the	the	DET
fumecheng-751	20	18	size	size	NOUN
fumecheng-751	20	19	dependence	dependence	NOUN
fumecheng-751	20	20	of	of	ADP
fumecheng-751	20	21	the	the	DET
fumecheng-751	20	22	“	"	PUNCT
fumecheng-751	20	23	yield	yield	NOUN
fumecheng-751	20	24	stress	stress	NOUN
fumecheng-751	20	25	”	"	PUNCT
fumecheng-751	20	26	.	.	PUNCT
fumecheng-751	21	1	in	in	ADP
fumecheng-751	21	2	[	[	X
fumecheng-751	21	3	11	11	NUM
fumecheng-751	21	4	]	]	PUNCT
fumecheng-751	21	5	,	,	PUNCT
fumecheng-751	21	6	it	it	PRON
fumecheng-751	21	7	is	be	AUX
fumecheng-751	21	8	shown	show	VERB
fumecheng-751	21	9	that	that	SCONJ
fumecheng-751	21	10	the	the	DET
fumecheng-751	21	11	indentation	indentation	NOUN
fumecheng-751	21	12	hardness	hardness	NOUN
fumecheng-751	21	13	of	of	ADP
fumecheng-751	21	14	polydimethylsiloxan	polydimethylsiloxan	NOUN
fumecheng-751	21	15	(	(	PUNCT
fumecheng-751	21	16	pdms	pdms	NOUN
fumecheng-751	21	17	)	)	PUNCT
fumecheng-751	21	18	is	be	AUX
fumecheng-751	21	19	inversely	inversely	ADV
fumecheng-751	21	20	proportional	proportional	ADJ
fumecheng-751	21	21	to	to	ADP
fumecheng-751	21	22	the	the	DET
fumecheng-751	21	23	indentation	indentation	NOUN
fumecheng-751	21	24	depth	depth	NOUN
fumecheng-751	21	25	over	over	ADP
fumecheng-751	21	26	three	three	NUM
fumecheng-751	21	27	decimal	decimal	ADJ
fumecheng-751	21	28	orders	order	NOUN
fumecheng-751	21	29	of	of	ADP
fumecheng-751	21	30	magnitude	magnitude	NOUN
fumecheng-751	21	31	.	.	PUNCT
fumecheng-751	22	1	similar	similar	ADJ
fumecheng-751	22	2	dependencies	dependency	NOUN
fumecheng-751	22	3	are	be	AUX
fumecheng-751	22	4	observed	observe	VERB
fumecheng-751	22	5	by	by	ADP
fumecheng-751	22	6	nanoindentation	nanoindentation	NOUN
fumecheng-751	22	7	of	of	ADP
fumecheng-751	22	8	au	au	NOUN
fumecheng-751	22	9	[	[	X
fumecheng-751	22	10	13	13	NUM
fumecheng-751	22	11	]	]	PUNCT
fumecheng-751	22	12	.	.	PUNCT
fumecheng-751	23	1	such	such	ADJ
fumecheng-751	23	2	dependence	dependence	NOUN
fumecheng-751	23	3	of	of	ADP
fumecheng-751	23	4	the	the	DET
fumecheng-751	23	5	characteristic	characteristic	ADJ
fumecheng-751	23	6	parameters	parameter	NOUN
fumecheng-751	23	7	on	on	ADP
fumecheng-751	23	8	the	the	DET
fumecheng-751	23	9	size	size	NOUN
fumecheng-751	23	10	of	of	ADP
fumecheng-751	23	11	the	the	DET
fumecheng-751	23	12	system	system	NOUN
fumecheng-751	23	13	shows	show	VERB
fumecheng-751	23	14	of	of	ADP
fumecheng-751	23	15	course	course	NOUN
fumecheng-751	23	16	an	an	DET
fumecheng-751	23	17	inconsistency	inconsistency	NOUN
fumecheng-751	23	18	in	in	ADP
fumecheng-751	23	19	the	the	DET
fumecheng-751	23	20	theory	theory	NOUN
fumecheng-751	23	21	and	and	CCONJ
fumecheng-751	23	22	should	should	AUX
fumecheng-751	23	23	be	be	AUX
fumecheng-751	23	24	replaced	replace	VERB
fumecheng-751	23	25	by	by	ADP
fumecheng-751	23	26	an	an	DET
fumecheng-751	23	27	appropriate	appropriate	ADJ
fumecheng-751	23	28	non	non	ADJ
fumecheng-751	23	29	-	-	ADJ
fumecheng-751	23	30	local	local	ADJ
fumecheng-751	23	31	formulation	formulation	NOUN
fumecheng-751	23	32	.	.	PUNCT
fumecheng-751	24	1	in	in	ADP
fumecheng-751	24	2	the	the	DET
fumecheng-751	24	3	following	following	NOUN
fumecheng-751	24	4	we	we	PRON
fumecheng-751	24	5	confine	confine	VERB
fumecheng-751	24	6	ourselves	ourselves	PRON
fumecheng-751	24	7	to	to	ADP
fumecheng-751	24	8	the	the	DET
fumecheng-751	24	9	processes	process	NOUN
fumecheng-751	24	10	of	of	ADP
fumecheng-751	24	11	plastic	plastic	ADJ
fumecheng-751	24	12	deformation	deformation	NOUN
fumecheng-751	24	13	and	and	CCONJ
fumecheng-751	24	14	damage	damage	NOUN
fumecheng-751	24	15	prior	prior	ADV
fumecheng-751	24	16	to	to	ADP
fumecheng-751	24	17	the	the	DET
fumecheng-751	24	18	complete	complete	ADJ
fumecheng-751	24	19	fracture	fracture	NOUN
fumecheng-751	24	20	of	of	ADP
fumecheng-751	24	21	a	a	DET
fumecheng-751	24	22	structure	structure	NOUN
fumecheng-751	24	23	.	.	PUNCT
fumecheng-751	25	1	the	the	DET
fumecheng-751	25	2	whole	whole	ADJ
fumecheng-751	25	3	spectrum	spectrum	NOUN
fumecheng-751	25	4	of	of	ADP
fumecheng-751	25	5	non	non	ADJ
fumecheng-751	25	6	-	-	ADJ
fumecheng-751	25	7	local	local	ADJ
fumecheng-751	25	8	yield	yield	NOUN
fumecheng-751	25	9	criteria	criterion	NOUN
fumecheng-751	25	10	and	and	CCONJ
fumecheng-751	25	11	thus	thus	ADV
fumecheng-751	25	12	the	the	DET
fumecheng-751	25	13	dependence	dependence	NOUN
fumecheng-751	25	14	of	of	ADP
fumecheng-751	25	15	the	the	DET
fumecheng-751	25	16	hardness	hardness	NOUN
fumecheng-751	25	17	on	on	ADP
fumecheng-751	25	18	the	the	DET
fumecheng-751	25	19	size	size	NOUN
fumecheng-751	25	20	of	of	ADP
fumecheng-751	25	21	an	an	DET
fumecheng-751	25	22	indenter	indenter	NOUN
fumecheng-751	25	23	can	can	AUX
fumecheng-751	25	24	be	be	AUX
fumecheng-751	25	25	very	very	ADV
fumecheng-751	25	26	roughly	roughly	ADV
fumecheng-751	25	27	divided	divide	VERB
fumecheng-751	25	28	into	into	ADP
fumecheng-751	25	29	three	three	NUM
fumecheng-751	25	30	classes	class	NOUN
fumecheng-751	25	31	:	:	PUNCT
fumecheng-751	25	32	(	(	PUNCT
fumecheng-751	25	33	a	a	X
fumecheng-751	25	34	)	)	PUNCT
fumecheng-751	25	35	constant	constant	ADJ
fumecheng-751	25	36	hardness	hardness	NOUN
fumecheng-751	25	37	σc	σc	PROPN
fumecheng-751	25	38	,	,	PUNCT
fumecheng-751	25	39	(	(	PUNCT
fumecheng-751	25	40	b	b	NOUN
fumecheng-751	25	41	)	)	PUNCT
fumecheng-751	25	42	hardness	hardness	NOUN
fumecheng-751	25	43	,	,	PUNCT
fumecheng-751	25	44	which	which	PRON
fumecheng-751	25	45	is	be	AUX
fumecheng-751	25	46	inversely	inversely	ADV
fumecheng-751	25	47	proportional	proportional	ADJ
fumecheng-751	25	48	to	to	ADP
fumecheng-751	25	49	indentation	indentation	NOUN
fumecheng-751	25	50	radius	radius	NOUN
fumecheng-751	25	51	a	a	DET
fumecheng-751	25	52	:	:	PUNCT
fumecheng-751	25	53	σc	σc	PROPN
fumecheng-751	25	54	=	=	PROPN
fumecheng-751	25	55	qc	qc	PROPN
fumecheng-751	25	56	/	/	SYM
fumecheng-751	25	57	a	a	X
fumecheng-751	25	58	,	,	PUNCT
fumecheng-751	25	59	(	(	PUNCT
fumecheng-751	25	60	c	c	NOUN
fumecheng-751	25	61	)	)	PUNCT
fumecheng-751	25	62	hardness	hardness	NOUN
fumecheng-751	25	63	,	,	PUNCT
fumecheng-751	25	64	which	which	PRON
fumecheng-751	25	65	is	be	AUX
fumecheng-751	25	66	inversely	inversely	ADV
fumecheng-751	25	67	proportional	proportional	ADJ
fumecheng-751	25	68	to	to	ADP
fumecheng-751	25	69	indentation	indentation	NOUN
fumecheng-751	25	70	area	area	NOUN
fumecheng-751	25	71	:	:	PUNCT
fumecheng-751	25	72	σc	σc	PROPN
fumecheng-751	25	73	=	=	PROPN
fumecheng-751	25	74	fc	fc	PROPN
fumecheng-751	25	75	/	/	SYM
fumecheng-751	25	76	a2	a2	PROPN
fumecheng-751	25	77	.	.	PUNCT
fumecheng-751	26	1	in	in	ADP
fumecheng-751	26	2	the	the	DET
fumecheng-751	26	3	cases	case	NOUN
fumecheng-751	26	4	(	(	PUNCT
fumecheng-751	26	5	b	b	NOUN
fumecheng-751	26	6	)	)	PUNCT
fumecheng-751	26	7	and	and	CCONJ
fumecheng-751	26	8	(	(	PUNCT
fumecheng-751	26	9	c	c	NOUN
fumecheng-751	26	10	)	)	PUNCT
fumecheng-751	26	11	,	,	PUNCT
fumecheng-751	26	12	the	the	DET
fumecheng-751	26	13	hardness	hardness	NOUN
fumecheng-751	26	14	is	be	AUX
fumecheng-751	26	15	in	in	ADP
fumecheng-751	26	16	reality	reality	NOUN
fumecheng-751	26	17	not	not	PART
fumecheng-751	26	18	a	a	DET
fumecheng-751	26	19	proper	proper	ADJ
fumecheng-751	26	20	material	material	NOUN
fumecheng-751	26	21	parameter	parameter	NOUN
fumecheng-751	26	22	.	.	PUNCT
fumecheng-751	27	1	it	it	PRON
fumecheng-751	27	2	is	be	AUX
fumecheng-751	27	3	rather	rather	ADV
fumecheng-751	27	4	quantity	quantity	NOUN
fumecheng-751	27	5	qc	qc	PROPN
fumecheng-751	27	6	having	have	VERB
fumecheng-751	27	7	the	the	DET
fumecheng-751	27	8	dimension	dimension	NOUN
fumecheng-751	27	9	of	of	ADP
fumecheng-751	27	10	surface	surface	NOUN
fumecheng-751	27	11	energy	energy	NOUN
fumecheng-751	27	12	density	density	NOUN
fumecheng-751	27	13	in	in	ADP
fumecheng-751	27	14	the	the	DET
fumecheng-751	27	15	case	case	NOUN
fumecheng-751	27	16	(	(	PUNCT
fumecheng-751	27	17	b	b	NOUN
fumecheng-751	27	18	)	)	PUNCT
fumecheng-751	27	19	and	and	CCONJ
fumecheng-751	27	20	quantity	quantity	NOUN
fumecheng-751	27	21	fc	fc	INTJ
fumecheng-751	27	22	having	have	VERB
fumecheng-751	27	23	the	the	DET
fumecheng-751	27	24	dimension	dimension	NOUN
fumecheng-751	27	25	of	of	ADP
fumecheng-751	27	26	the	the	DET
fumecheng-751	27	27	force	force	NOUN
fumecheng-751	27	28	in	in	ADP
fumecheng-751	27	29	the	the	DET
fumecheng-751	27	30	cases	case	NOUN
fumecheng-751	27	31	(	(	PUNCT
fumecheng-751	27	32	c	c	NOUN
fumecheng-751	27	33	)	)	PUNCT
fumecheng-751	27	34	,	,	PUNCT
fumecheng-751	27	35	which	which	PRON
fumecheng-751	27	36	now	now	ADV
fumecheng-751	27	37	characterize	characterize	VERB
fumecheng-751	27	38	unambiguously	unambiguously	ADV
fumecheng-751	27	39	the	the	DET
fumecheng-751	27	40	plastic	plastic	ADJ
fumecheng-751	27	41	properties	property	NOUN
fumecheng-751	27	42	.	.	PUNCT
fumecheng-751	28	1	from	from	ADP
fumecheng-751	28	2	the	the	DET
fumecheng-751	28	3	point	point	NOUN
fumecheng-751	28	4	of	of	ADP
fumecheng-751	28	5	view	view	NOUN
fumecheng-751	28	6	of	of	ADP
fumecheng-751	28	7	mechanisms	mechanism	NOUN
fumecheng-751	28	8	of	of	ADP
fumecheng-751	28	9	plasticity	plasticity	NOUN
fumecheng-751	28	10	,	,	PUNCT
fumecheng-751	28	11	the	the	DET
fumecheng-751	28	12	cases	case	NOUN
fumecheng-751	28	13	(	(	PUNCT
fumecheng-751	28	14	a	a	X
fumecheng-751	28	15	)	)	PUNCT
fumecheng-751	28	16	,	,	PUNCT
fumecheng-751	28	17	(	(	PUNCT
fumecheng-751	28	18	b	b	X
fumecheng-751	28	19	)	)	PUNCT
fumecheng-751	28	20	and	and	CCONJ
fumecheng-751	28	21	(	(	PUNCT
fumecheng-751	28	22	c	c	X
fumecheng-751	28	23	)	)	PUNCT
fumecheng-751	28	24	correspond	correspond	VERB
fumecheng-751	28	25	to	to	ADP
fumecheng-751	28	26	the	the	DET
fumecheng-751	28	27	situations	situation	NOUN
fumecheng-751	28	28	where	where	SCONJ
fumecheng-751	28	29	the	the	DET
fumecheng-751	28	30	plastic	plastic	NOUN
fumecheng-751	28	31	flow	flow	NOUN
fumecheng-751	28	32	is	be	AUX
fumecheng-751	28	33	governed	govern	VERB
fumecheng-751	28	34	by	by	ADP
fumecheng-751	28	35	:	:	PUNCT
fumecheng-751	28	36	(	(	PUNCT
fumecheng-751	28	37	a	a	X
fumecheng-751	28	38	)	)	PUNCT
fumecheng-751	28	39	volume	volume	NOUN
fumecheng-751	28	40	processes	process	NOUN
fumecheng-751	28	41	,	,	PUNCT
fumecheng-751	28	42	the	the	DET
fumecheng-751	28	43	characteristic	characteristic	ADJ
fumecheng-751	28	44	critical	critical	ADJ
fumecheng-751	28	45	quantity	quantity	NOUN
fumecheng-751	28	46	having	have	VERB
fumecheng-751	28	47	the	the	DET
fumecheng-751	28	48	dimension	dimension	NOUN
fumecheng-751	28	49	of	of	ADP
fumecheng-751	28	50	energy	energy	NOUN
fumecheng-751	28	51	per	per	ADP
fumecheng-751	28	52	volume	volume	NOUN
fumecheng-751	28	53	or	or	CCONJ
fumecheng-751	28	54	stress	stress	NOUN
fumecheng-751	28	55	,	,	PUNCT
fumecheng-751	28	56	(	(	PUNCT
fumecheng-751	28	57	b	b	X
fumecheng-751	28	58	)	)	PUNCT
fumecheng-751	28	59	surface	surface	NOUN
fumecheng-751	28	60	processes	process	NOUN
fumecheng-751	28	61	,	,	PUNCT
fumecheng-751	28	62	the	the	DET
fumecheng-751	28	63	characteristic	characteristic	ADJ
fumecheng-751	28	64	critical	critical	ADJ
fumecheng-751	28	65	property	property	NOUN
fumecheng-751	28	66	having	have	VERB
fumecheng-751	28	67	the	the	DET
fumecheng-751	28	68	dimension	dimension	NOUN
fumecheng-751	28	69	of	of	ADP
fumecheng-751	28	70	energy	energy	NOUN
fumecheng-751	28	71	per	per	ADP
fumecheng-751	28	72	area	area	NOUN
fumecheng-751	28	73	,	,	PUNCT
fumecheng-751	28	74	(	(	PUNCT
fumecheng-751	28	75	c	c	X
fumecheng-751	28	76	)	)	PUNCT
fumecheng-751	28	77	line	line	NOUN
fumecheng-751	28	78	processes	process	NOUN
fumecheng-751	28	79	,	,	PUNCT
fumecheng-751	28	80	the	the	DET
fumecheng-751	28	81	characteristic	characteristic	ADJ
fumecheng-751	28	82	critical	critical	ADJ
fumecheng-751	28	83	property	property	NOUN
fumecheng-751	28	84	having	have	VERB
fumecheng-751	28	85	the	the	DET
fumecheng-751	28	86	dimension	dimension	NOUN
fumecheng-751	28	87	of	of	ADP
fumecheng-751	28	88	energy	energy	NOUN
fumecheng-751	28	89	per	per	ADP
fumecheng-751	28	90	unit	unit	NOUN
fumecheng-751	28	91	length	length	NOUN
fumecheng-751	28	92	.	.	PUNCT
fumecheng-751	29	1	all	all	DET
fumecheng-751	29	2	known	know	VERB
fumecheng-751	29	3	criteria	criterion	NOUN
fumecheng-751	29	4	for	for	ADP
fumecheng-751	29	5	plastic	plastic	NOUN
fumecheng-751	29	6	yielding	yield	VERB
fumecheng-751	29	7	either	either	CCONJ
fumecheng-751	29	8	coincide	coincide	NOUN
fumecheng-751	29	9	with	with	ADP
fumecheng-751	29	10	one	one	NUM
fumecheng-751	29	11	of	of	ADP
fumecheng-751	29	12	these	these	DET
fumecheng-751	29	13	classes	class	NOUN
fumecheng-751	29	14	or	or	CCONJ
fumecheng-751	29	15	can	can	AUX
fumecheng-751	29	16	be	be	AUX
fumecheng-751	29	17	considered	consider	VERB
fumecheng-751	29	18	as	as	ADP
fumecheng-751	29	19	their	their	PRON
fumecheng-751	29	20	combinations	combination	NOUN
fumecheng-751	29	21	.	.	PUNCT
fumecheng-751	30	1	in	in	ADP
fumecheng-751	30	2	the	the	DET
fumecheng-751	30	3	present	present	ADJ
fumecheng-751	30	4	paper	paper	NOUN
fumecheng-751	30	5	,	,	PUNCT
fumecheng-751	30	6	we	we	PRON
fumecheng-751	30	7	concentrate	concentrate	VERB
fumecheng-751	30	8	our	our	PRON
fumecheng-751	30	9	attention	attention	NOUN
fumecheng-751	30	10	only	only	ADV
fumecheng-751	30	11	on	on	ADP
fumecheng-751	30	12	the	the	DET
fumecheng-751	30	13	“	"	PUNCT
fumecheng-751	30	14	intermediate	intermediate	ADJ
fumecheng-751	30	15	”	"	PUNCT
fumecheng-751	30	16	class	class	NOUN
fumecheng-751	30	17	of	of	ADP
fumecheng-751	30	18	constitutive	constitutive	ADJ
fumecheng-751	30	19	relations	relation	NOUN
fumecheng-751	30	20	(	(	PUNCT
fumecheng-751	30	21	b	b	NOUN
fumecheng-751	30	22	)	)	PUNCT
fumecheng-751	30	23	and	and	CCONJ
fumecheng-751	30	24	describe	describe	VERB
fumecheng-751	30	25	how	how	SCONJ
fumecheng-751	30	26	the	the	DET
fumecheng-751	30	27	impact	impact	NOUN
fumecheng-751	30	28	on	on	ADP
fumecheng-751	30	29	materials	material	NOUN
fumecheng-751	30	30	with	with	ADP
fumecheng-751	30	31	such	such	ADJ
fumecheng-751	30	32	non	non	ADJ
fumecheng-751	30	33	-	-	ADJ
fumecheng-751	30	34	local	local	ADJ
fumecheng-751	30	35	plastic	plastic	NOUN
fumecheng-751	30	36	criteria	criterion	NOUN
fumecheng-751	30	37	can	can	AUX
fumecheng-751	30	38	be	be	AUX
fumecheng-751	30	39	described	describe	VERB
fumecheng-751	30	40	using	use	VERB
fumecheng-751	30	41	the	the	DET
fumecheng-751	30	42	method	method	NOUN
fumecheng-751	30	43	of	of	ADP
fumecheng-751	30	44	dimensionality	dimensionality	NOUN
fumecheng-751	30	45	reduction	reduction	NOUN
fumecheng-751	30	46	(	(	PUNCT
fumecheng-751	30	47	mdr	mdr	NOUN
fumecheng-751	30	48	)	)	PUNCT
fumecheng-751	31	1	[	[	X
fumecheng-751	31	2	14	14	NUM
fumecheng-751	31	3	,	,	PUNCT
fumecheng-751	31	4	15	15	NUM
fumecheng-751	31	5	,	,	PUNCT
fumecheng-751	31	6	16	16	NUM
fumecheng-751	31	7	,	,	PUNCT
fumecheng-751	31	8	17	17	NUM
fumecheng-751	31	9	]	]	PUNCT
fumecheng-751	31	10	.	.	PUNCT
fumecheng-751	32	1	2	2	X
fumecheng-751	32	2	.	.	X
fumecheng-751	32	3	method	method	NOUN
fumecheng-751	32	4	of	of	ADP
fumecheng-751	32	5	dimensionality	dimensionality	NOUN
fumecheng-751	32	6	reduction	reduction	NOUN
fumecheng-751	32	7	at	at	ADP
fumecheng-751	32	8	the	the	DET
fumecheng-751	32	9	first	first	ADJ
fumecheng-751	32	10	glance	glance	NOUN
fumecheng-751	32	11	,	,	PUNCT
fumecheng-751	32	12	the	the	DET
fumecheng-751	32	13	non	non	ADJ
fumecheng-751	32	14	-	-	ADJ
fumecheng-751	32	15	local	local	ADJ
fumecheng-751	32	16	plasticity	plasticity	NOUN
fumecheng-751	32	17	criterion	criterion	NOUN
fumecheng-751	32	18	(	(	PUNCT
fumecheng-751	32	19	b	b	NOUN
fumecheng-751	32	20	)	)	PUNCT
fumecheng-751	32	21	seems	seem	VERB
fumecheng-751	32	22	to	to	PART
fumecheng-751	32	23	be	be	AUX
fumecheng-751	32	24	more	more	ADV
fumecheng-751	32	25	complicated	complicated	ADJ
fumecheng-751	32	26	than	than	ADP
fumecheng-751	32	27	the	the	DET
fumecheng-751	32	28	local	local	ADJ
fumecheng-751	32	29	criterion	criterion	NOUN
fumecheng-751	32	30	(	(	PUNCT
fumecheng-751	32	31	a	a	NOUN
fumecheng-751	32	32	)	)	PUNCT
fumecheng-751	32	33	.	.	PUNCT
fumecheng-751	33	1	however	however	ADV
fumecheng-751	33	2	,	,	PUNCT
fumecheng-751	33	3	the	the	DET
fumecheng-751	33	4	non	non	ADJ
fumecheng-751	33	5	-	-	NOUN
fumecheng-751	33	6	locality	locality	NOUN
fumecheng-751	33	7	in	in	ADP
fumecheng-751	33	8	three	three	NUM
fumecheng-751	33	9	-	-	PUNCT
fumecheng-751	33	10	dimensional	dimensional	ADJ
fumecheng-751	33	11	systems	system	NOUN
fumecheng-751	33	12	can	can	AUX
fumecheng-751	33	13	sometimes	sometimes	ADV
fumecheng-751	33	14	lead	lead	VERB
fumecheng-751	33	15	to	to	ADP
fumecheng-751	33	16	a	a	DET
fumecheng-751	33	17	much	much	ADV
fumecheng-751	33	18	simpler	simple	ADJ
fumecheng-751	33	19	theoretical	theoretical	ADJ
fumecheng-751	33	20	description	description	NOUN
fumecheng-751	33	21	than	than	ADP
fumecheng-751	33	22	in	in	ADP
fumecheng-751	33	23	the	the	DET
fumecheng-751	33	24	case	case	NOUN
fumecheng-751	33	25	of	of	ADP
fumecheng-751	33	26	local	local	ADJ
fumecheng-751	33	27	relations	relation	NOUN
fumecheng-751	33	28	.	.	PUNCT
fumecheng-751	34	1	in	in	ADP
fumecheng-751	34	2	a	a	DET
fumecheng-751	34	3	series	series	NOUN
fumecheng-751	34	4	of	of	ADP
fumecheng-751	34	5	publications	publication	NOUN
fumecheng-751	34	6	by	by	ADP
fumecheng-751	34	7	popov	popov	PROPN
fumecheng-751	34	8	,	,	PUNCT
fumecheng-751	34	9	hess	hess	NOUN
fumecheng-751	34	10	and	and	CCONJ
fumecheng-751	34	11	co	co	NOUN
fumecheng-751	34	12	-	-	NOUN
fumecheng-751	34	13	authors	author	NOUN
fumecheng-751	34	14	(	(	PUNCT
fumecheng-751	34	15	see	see	VERB
fumecheng-751	34	16	e.g.	e.g.	ADV
fumecheng-751	34	17	[	[	X
fumecheng-751	34	18	20	20	NUM
fumecheng-751	34	19	,	,	PUNCT
fumecheng-751	34	20	14	14	NUM
fumecheng-751	34	21	,	,	PUNCT
fumecheng-751	34	22	15	15	NUM
fumecheng-751	34	23	,	,	PUNCT
fumecheng-751	34	24	16	16	NUM
fumecheng-751	34	25	]	]	PUNCT
fumecheng-751	34	26	)	)	PUNCT
fumecheng-751	34	27	,	,	PUNCT
fumecheng-751	34	28	it	it	PRON
fumecheng-751	34	29	is	be	AUX
fumecheng-751	34	30	shown	show	VERB
fumecheng-751	34	31	that	that	SCONJ
fumecheng-751	34	32	the	the	DET
fumecheng-751	34	33	mechanical	mechanical	ADJ
fumecheng-751	34	34	properties	property	NOUN
fumecheng-751	34	35	which	which	PRON
fumecheng-751	34	36	in	in	ADP
fumecheng-751	34	37	a	a	DET
fumecheng-751	34	38	three	three	NUM
fumecheng-751	34	39	-	-	PUNCT
fumecheng-751	34	40	dimensional	dimensional	ADJ
fumecheng-751	34	41	system	system	NOUN
fumecheng-751	34	42	are	be	AUX
fumecheng-751	34	43	analysis	analysis	NOUN
fumecheng-751	34	44	of	of	ADP
fumecheng-751	34	45	impact	impact	NOUN
fumecheng-751	34	46	on	on	ADP
fumecheng-751	34	47	composite	composite	ADJ
fumecheng-751	34	48	structures	structure	NOUN
fumecheng-751	34	49	with	with	ADP
fumecheng-751	34	50	the	the	DET
fumecheng-751	34	51	method	method	NOUN
fumecheng-751	34	52	of	of	ADP
fumecheng-751	34	53	dimensionality	dimensionality	NOUN
fumecheng-751	34	54	reduction	reduction	NOUN
fumecheng-751	34	55	41	41	NUM
fumecheng-751	34	56	proportional	proportional	NOUN
fumecheng-751	34	57	to	to	ADP
fumecheng-751	34	58	the	the	DET
fumecheng-751	34	59	contact	contact	NOUN
fumecheng-751	34	60	diameter	diameter	NOUN
fumecheng-751	34	61	,	,	PUNCT
fumecheng-751	34	62	can	can	AUX
fumecheng-751	34	63	be	be	AUX
fumecheng-751	34	64	easily	easily	ADV
fumecheng-751	34	65	mapped	map	VERB
fumecheng-751	34	66	onto	onto	ADP
fumecheng-751	34	67	a	a	DET
fumecheng-751	34	68	contact	contact	NOUN
fumecheng-751	34	69	with	with	ADP
fumecheng-751	34	70	a	a	DET
fumecheng-751	34	71	onedimensional	onedimensional	ADJ
fumecheng-751	34	72	elastic	elastic	ADJ
fumecheng-751	34	73	foundation	foundation	NOUN
fumecheng-751	34	74	.	.	PUNCT
fumecheng-751	35	1	for	for	ADP
fumecheng-751	35	2	example	example	NOUN
fumecheng-751	35	3	,	,	PUNCT
fumecheng-751	35	4	this	this	PRON
fumecheng-751	35	5	is	be	AUX
fumecheng-751	35	6	the	the	DET
fumecheng-751	35	7	case	case	NOUN
fumecheng-751	35	8	for	for	ADP
fumecheng-751	35	9	the	the	DET
fumecheng-751	35	10	contact	contact	NOUN
fumecheng-751	35	11	stiffness	stiffness	NOUN
fumecheng-751	35	12	of	of	ADP
fumecheng-751	35	13	an	an	DET
fumecheng-751	35	14	arbitrary	arbitrary	ADJ
fumecheng-751	35	15	contact	contact	NOUN
fumecheng-751	35	16	with	with	ADP
fumecheng-751	35	17	an	an	DET
fumecheng-751	35	18	elastic	elastic	ADJ
fumecheng-751	35	19	half	half	ADJ
fumecheng-751	35	20	-	-	PUNCT
fumecheng-751	35	21	space	space	NOUN
fumecheng-751	35	22	.	.	PUNCT
fumecheng-751	36	1	the	the	DET
fumecheng-751	36	2	contact	contact	NOUN
fumecheng-751	36	3	stiffness	stiffness	NOUN
fumecheng-751	36	4	is	be	AUX
fumecheng-751	36	5	proportional	proportional	ADJ
fumecheng-751	36	6	to	to	ADP
fumecheng-751	36	7	the	the	DET
fumecheng-751	36	8	diameter	diameter	NOUN
fumecheng-751	36	9	of	of	ADP
fumecheng-751	36	10	the	the	DET
fumecheng-751	36	11	contact	contact	NOUN
fumecheng-751	36	12	and	and	CCONJ
fumecheng-751	36	13	thus	thus	ADV
fumecheng-751	36	14	can	can	AUX
fumecheng-751	36	15	be	be	AUX
fumecheng-751	36	16	described	describe	VERB
fumecheng-751	36	17	naturally	naturally	ADV
fumecheng-751	36	18	by	by	ADP
fumecheng-751	36	19	a	a	DET
fumecheng-751	36	20	one	one	NUM
fumecheng-751	36	21	-	-	PUNCT
fumecheng-751	36	22	dimensional	dimensional	ADJ
fumecheng-751	36	23	model	model	NOUN
fumecheng-751	36	24	.	.	PUNCT
fumecheng-751	37	1	the	the	DET
fumecheng-751	37	2	same	same	ADJ
fumecheng-751	37	3	property	property	NOUN
fumecheng-751	37	4	is	be	AUX
fumecheng-751	37	5	present	present	ADJ
fumecheng-751	37	6	in	in	ADP
fumecheng-751	37	7	contact	contact	NOUN
fumecheng-751	37	8	conductivity	conductivity	NOUN
fumecheng-751	37	9	(	(	PUNCT
fumecheng-751	37	10	both	both	CCONJ
fumecheng-751	37	11	electrical	electrical	ADJ
fumecheng-751	37	12	and	and	CCONJ
fumecheng-751	37	13	thermal	thermal	ADJ
fumecheng-751	37	14	)	)	PUNCT
fumecheng-751	37	15	which	which	PRON
fumecheng-751	37	16	thus	thus	ADV
fumecheng-751	37	17	can	can	AUX
fumecheng-751	37	18	be	be	AUX
fumecheng-751	37	19	described	describe	VERB
fumecheng-751	37	20	in	in	ADP
fumecheng-751	37	21	the	the	DET
fumecheng-751	37	22	framework	framework	NOUN
fumecheng-751	37	23	of	of	ADP
fumecheng-751	37	24	mdr	mdr	PROPN
fumecheng-751	38	1	[	[	X
fumecheng-751	38	2	21	21	NUM
fumecheng-751	38	3	]	]	PUNCT
fumecheng-751	38	4	.	.	PUNCT
fumecheng-751	39	1	in	in	ADP
fumecheng-751	39	2	the	the	DET
fumecheng-751	39	3	publications	publication	NOUN
fumecheng-751	39	4	[	[	X
fumecheng-751	39	5	14	14	NUM
fumecheng-751	39	6	]	]	PUNCT
fumecheng-751	39	7	and	and	CCONJ
fumecheng-751	39	8	[	[	X
fumecheng-751	39	9	22	22	NUM
fumecheng-751	39	10	]	]	PUNCT
fumecheng-751	39	11	,	,	PUNCT
fumecheng-751	39	12	it	it	PRON
fumecheng-751	39	13	is	be	AUX
fumecheng-751	39	14	shown	show	VERB
fumecheng-751	39	15	that	that	SCONJ
fumecheng-751	39	16	the	the	DET
fumecheng-751	39	17	mapping	mapping	NOUN
fumecheng-751	39	18	of	of	ADP
fumecheng-751	39	19	the	the	DET
fumecheng-751	39	20	contact	contact	NOUN
fumecheng-751	39	21	properties	property	NOUN
fumecheng-751	39	22	from	from	ADP
fumecheng-751	39	23	3d	3d	NUM
fumecheng-751	39	24	to	to	ADP
fumecheng-751	39	25	1d	1d	NUM
fumecheng-751	39	26	is	be	AUX
fumecheng-751	39	27	exact	exact	ADJ
fumecheng-751	39	28	for	for	ADP
fumecheng-751	39	29	arbitrary	arbitrary	ADJ
fumecheng-751	39	30	bodies	body	NOUN
fumecheng-751	39	31	of	of	ADP
fumecheng-751	39	32	revolution	revolution	NOUN
fumecheng-751	39	33	provided	provide	VERB
fumecheng-751	39	34	some	some	DET
fumecheng-751	39	35	rules	rule	NOUN
fumecheng-751	39	36	are	be	AUX
fumecheng-751	39	37	considered	consider	VERB
fumecheng-751	39	38	for	for	ADP
fumecheng-751	39	39	recalculation	recalculation	NOUN
fumecheng-751	39	40	of	of	ADP
fumecheng-751	39	41	the	the	DET
fumecheng-751	39	42	material	material	NOUN
fumecheng-751	39	43	properties	property	NOUN
fumecheng-751	39	44	and	and	CCONJ
fumecheng-751	39	45	profiles	profile	NOUN
fumecheng-751	39	46	of	of	ADP
fumecheng-751	39	47	the	the	DET
fumecheng-751	39	48	contacting	contact	VERB
fumecheng-751	39	49	bodies	body	NOUN
fumecheng-751	39	50	.	.	PUNCT
fumecheng-751	40	1	in	in	ADP
fumecheng-751	40	2	the	the	DET
fumecheng-751	40	3	case	case	NOUN
fumecheng-751	40	4	of	of	ADP
fumecheng-751	40	5	plastic	plastic	ADJ
fumecheng-751	40	6	deformation	deformation	NOUN
fumecheng-751	40	7	with	with	ADP
fumecheng-751	40	8	the	the	DET
fumecheng-751	40	9	indentation	indentation	NOUN
fumecheng-751	40	10	hardness	hardness	NOUN
fumecheng-751	40	11	inversely	inversely	ADV
fumecheng-751	40	12	proportional	proportional	ADJ
fumecheng-751	40	13	to	to	ADP
fumecheng-751	40	14	the	the	DET
fumecheng-751	40	15	contact	contact	NOUN
fumecheng-751	40	16	radius	radius	NOUN
fumecheng-751	40	17	(	(	PUNCT
fumecheng-751	40	18	and	and	CCONJ
fumecheng-751	40	19	thus	thus	ADV
fumecheng-751	40	20	the	the	DET
fumecheng-751	40	21	indentation	indentation	NOUN
fumecheng-751	40	22	force	force	NOUN
fumecheng-751	40	23	proportional	proportional	ADJ
fumecheng-751	40	24	to	to	ADP
fumecheng-751	40	25	the	the	DET
fumecheng-751	40	26	radius	radius	NOUN
fumecheng-751	40	27	)	)	PUNCT
fumecheng-751	40	28	,	,	PUNCT
fumecheng-751	40	29	we	we	PRON
fumecheng-751	40	30	again	again	ADV
fumecheng-751	40	31	have	have	VERB
fumecheng-751	40	32	a	a	DET
fumecheng-751	40	33	property	property	NOUN
fumecheng-751	40	34	,	,	PUNCT
fumecheng-751	40	35	which	which	PRON
fumecheng-751	40	36	is	be	AUX
fumecheng-751	40	37	directly	directly	ADV
fumecheng-751	40	38	proportional	proportional	ADJ
fumecheng-751	40	39	to	to	ADP
fumecheng-751	40	40	the	the	DET
fumecheng-751	40	41	contact	contact	NOUN
fumecheng-751	40	42	radius	radius	NOUN
fumecheng-751	40	43	.	.	PUNCT
fumecheng-751	41	1	it	it	PRON
fumecheng-751	41	2	is	be	AUX
fumecheng-751	41	3	therefore	therefore	ADV
fumecheng-751	41	4	logically	logically	ADV
fumecheng-751	41	5	to	to	PART
fumecheng-751	41	6	assume	assume	VERB
fumecheng-751	41	7	that	that	SCONJ
fumecheng-751	41	8	the	the	DET
fumecheng-751	41	9	indentation	indentation	NOUN
fumecheng-751	41	10	with	with	ADP
fumecheng-751	41	11	such	such	DET
fumecheng-751	41	12	a	a	DET
fumecheng-751	41	13	yield	yield	NOUN
fumecheng-751	41	14	criterion	criterion	NOUN
fumecheng-751	41	15	will	will	AUX
fumecheng-751	41	16	be	be	AUX
fumecheng-751	41	17	correctly	correctly	ADV
fumecheng-751	41	18	described	describe	VERB
fumecheng-751	41	19	within	within	ADP
fumecheng-751	41	20	a	a	DET
fumecheng-751	41	21	one	one	NUM
fumecheng-751	41	22	-	-	PUNCT
fumecheng-751	41	23	dimensional	dimensional	ADJ
fumecheng-751	41	24	model	model	NOUN
fumecheng-751	41	25	.	.	PUNCT
fumecheng-751	42	1	in	in	ADP
fumecheng-751	42	2	the	the	DET
fumecheng-751	42	3	following	following	NOUN
fumecheng-751	42	4	,	,	PUNCT
fumecheng-751	42	5	we	we	PRON
fumecheng-751	42	6	shortly	shortly	ADV
fumecheng-751	42	7	recapitulate	recapitulate	VERB
fumecheng-751	42	8	the	the	DET
fumecheng-751	42	9	basics	basic	NOUN
fumecheng-751	42	10	of	of	ADP
fumecheng-751	42	11	the	the	DET
fumecheng-751	42	12	method	method	NOUN
fumecheng-751	42	13	of	of	ADP
fumecheng-751	42	14	dimensionality	dimensionality	NOUN
fumecheng-751	42	15	reduction	reduction	NOUN
fumecheng-751	42	16	and	and	CCONJ
fumecheng-751	42	17	then	then	ADV
fumecheng-751	42	18	formulate	formulate	VERB
fumecheng-751	42	19	its	its	PRON
fumecheng-751	42	20	extension	extension	NOUN
fumecheng-751	42	21	to	to	ADP
fumecheng-751	42	22	the	the	DET
fumecheng-751	42	23	description	description	NOUN
fumecheng-751	42	24	of	of	ADP
fumecheng-751	42	25	plasticity	plasticity	NOUN
fumecheng-751	42	26	.	.	PUNCT
fumecheng-751	43	1	if	if	SCONJ
fumecheng-751	43	2	applied	apply	VERB
fumecheng-751	43	3	to	to	ADP
fumecheng-751	43	4	a	a	DET
fumecheng-751	43	5	contact	contact	NOUN
fumecheng-751	43	6	of	of	ADP
fumecheng-751	43	7	a	a	DET
fumecheng-751	43	8	body	body	NOUN
fumecheng-751	43	9	with	with	ADP
fumecheng-751	43	10	an	an	DET
fumecheng-751	43	11	elastic	elastic	ADJ
fumecheng-751	43	12	or	or	CCONJ
fumecheng-751	43	13	viscoelastic	viscoelastic	ADJ
fumecheng-751	43	14	half	half	ADJ
fumecheng-751	43	15	-	-	PUNCT
fumecheng-751	43	16	space	space	NOUN
fumecheng-751	43	17	,	,	PUNCT
fumecheng-751	43	18	the	the	DET
fumecheng-751	43	19	mdr	mdr	PROPN
fumecheng-751	43	20	consists	consist	VERB
fumecheng-751	43	21	of	of	ADP
fumecheng-751	43	22	two	two	NUM
fumecheng-751	43	23	main	main	ADJ
fumecheng-751	43	24	independent	independent	ADJ
fumecheng-751	43	25	steps	step	NOUN
fumecheng-751	43	26	:	:	PUNCT
fumecheng-751	43	27	i.	i.	PROPN
fumecheng-751	43	28	first	first	PROPN
fumecheng-751	43	29	,	,	PUNCT
fumecheng-751	43	30	a	a	DET
fumecheng-751	43	31	viscoelastic	viscoelastic	ADJ
fumecheng-751	43	32	half	half	ADJ
fumecheng-751	43	33	-	-	PUNCT
fumecheng-751	43	34	space	space	NOUN
fumecheng-751	43	35	is	be	AUX
fumecheng-751	43	36	replaced	replace	VERB
fumecheng-751	43	37	by	by	ADP
fumecheng-751	43	38	a	a	DET
fumecheng-751	43	39	one	one	NUM
fumecheng-751	43	40	-	-	PUNCT
fumecheng-751	43	41	dimensional	dimensional	ADJ
fumecheng-751	43	42	series	series	NOUN
fumecheng-751	43	43	of	of	ADP
fumecheng-751	43	44	parallel	parallel	ADJ
fumecheng-751	43	45	springs	spring	NOUN
fumecheng-751	43	46	with	with	ADP
fumecheng-751	43	47	stiffness	stiffness	ADJ
fumecheng-751	43	48	zkδ	zkδ	NOUN
fumecheng-751	43	49	and	and	CCONJ
fumecheng-751	43	50	dash	dash	VERB
fumecheng-751	43	51	pots	pot	NOUN
fumecheng-751	43	52	with	with	ADP
fumecheng-751	43	53	damping	damp	VERB
fumecheng-751	43	54	constant	constant	ADJ
fumecheng-751	43	55	δγ	δγ	NOUN
fumecheng-751	43	56	(	(	PUNCT
fumecheng-751	43	57	fig	fig	NOUN
fumecheng-751	43	58	.	.	PUNCT
fumecheng-751	43	59	1	1	NUM
fumecheng-751	43	60	):	):	PUNCT
fumecheng-751	43	61	,	,	PUNCT
fumecheng-751	43	62	*	*	PUNCT
fumecheng-751	43	63	zk	zk	X
fumecheng-751	43	64	e	e	NOUN
fumecheng-751	43	65	xδ	xδ	PROPN
fumecheng-751	43	66	=	=	SYM
fumecheng-751	43	67	δ	δ	PROPN
fumecheng-751	43	68	4	4	NUM
fumecheng-751	43	69	xγ	xγ	NOUN
fumecheng-751	43	70	ηδ	ηδ	PROPN
fumecheng-751	43	71	=	=	PROPN
fumecheng-751	43	72	δ	δ	PROPN
fumecheng-751	43	73	,	,	PUNCT
fumecheng-751	43	74	(	(	PUNCT
fumecheng-751	43	75	1	1	X
fumecheng-751	43	76	)	)	PUNCT
fumecheng-751	43	77	where	where	SCONJ
fumecheng-751	43	78	is	be	AUX
fumecheng-751	43	79	the	the	DET
fumecheng-751	43	80	effective	effective	ADJ
fumecheng-751	43	81	elastic	elastic	ADJ
fumecheng-751	43	82	modulus	modulus	NOUN
fumecheng-751	43	83	*	*	PUNCT
fumecheng-751	43	84	e	e	NOUN
fumecheng-751	43	85	2	2	NUM
fumecheng-751	43	86	2	2	NUM
fumecheng-751	43	87	1	1	NUM
fumecheng-751	43	88	*	*	SYM
fumecheng-751	43	89	1	1	NUM
fumecheng-751	43	90	2	2	NUM
fumecheng-751	43	91	1	1	NUM
fumecheng-751	43	92	11	11	NUM
fumecheng-751	43	93	v	v	NOUN
fumecheng-751	43	94	e	e	NOUN
fumecheng-751	43	95	ee	ee	ADP
fumecheng-751	43	96	2v−	2v−	NUM
fumecheng-751	43	97	−	−	NOUN
fumecheng-751	43	98	=	=	SYM
fumecheng-751	43	99	+	+	NUM
fumecheng-751	43	100	,	,	PUNCT
fumecheng-751	43	101	(	(	PUNCT
fumecheng-751	43	102	2	2	NUM
fumecheng-751	43	103	)	)	PUNCT
fumecheng-751	43	104	e1	e1	PROPN
fumecheng-751	43	105	and	and	CCONJ
fumecheng-751	43	106	e2	e2	PROPN
fumecheng-751	43	107	are	be	AUX
fumecheng-751	43	108	the	the	DET
fumecheng-751	43	109	young	young	ADJ
fumecheng-751	43	110	’s	’s	PART
fumecheng-751	43	111	moduli	modulus	NOUN
fumecheng-751	43	112	of	of	ADP
fumecheng-751	43	113	contacting	contact	VERB
fumecheng-751	43	114	bodies	body	NOUN
fumecheng-751	43	115	,	,	PUNCT
fumecheng-751	43	116	ν1	ν1	NOUN
fumecheng-751	43	117	and	and	CCONJ
fumecheng-751	43	118	v2	v2	PROPN
fumecheng-751	43	119	,	,	PUNCT
fumecheng-751	43	120	their	their	PRON
fumecheng-751	43	121	poisson	poisson	NOUN
fumecheng-751	43	122	-	-	NOUN
fumecheng-751	43	123	ratios	ratio	NOUN
fumecheng-751	43	124	,	,	PUNCT
fumecheng-751	43	125	and	and	CCONJ
fumecheng-751	43	126	η	η	DET
fumecheng-751	43	127	the	the	DET
fumecheng-751	43	128	dynamic	dynamic	ADJ
fumecheng-751	43	129	viscosity	viscosity	NOUN
fumecheng-751	43	130	of	of	ADP
fumecheng-751	43	131	the	the	DET
fumecheng-751	43	132	medium	medium	NOUN
fumecheng-751	43	133	.	.	PUNCT
fumecheng-751	44	1	fig	fig	NOUN
fumecheng-751	44	2	.	.	PUNCT
fumecheng-751	45	1	1	1	NUM
fumecheng-751	45	2	equivalent	equivalent	ADJ
fumecheng-751	45	3	one	one	NUM
fumecheng-751	45	4	-	-	PUNCT
fumecheng-751	45	5	dimensional	dimensional	ADJ
fumecheng-751	45	6	visco	visco	ADJ
fumecheng-751	45	7	-	-	PUNCT
fumecheng-751	45	8	elastic	elastic	ADJ
fumecheng-751	45	9	foundation	foundation	NOUN
fumecheng-751	45	10	ii	ii	PROPN
fumecheng-751	45	11	.	.	PUNCT
fumecheng-751	46	1	secondly	secondly	ADV
fumecheng-751	46	2	,	,	PUNCT
fumecheng-751	46	3	the	the	DET
fumecheng-751	46	4	form	form	NOUN
fumecheng-751	46	5	of	of	ADP
fumecheng-751	46	6	the	the	DET
fumecheng-751	46	7	indenter	indenter	NOUN
fumecheng-751	46	8	must	must	AUX
fumecheng-751	46	9	be	be	AUX
fumecheng-751	46	10	recalculated	recalculate	VERB
fumecheng-751	46	11	according	accord	VERB
fumecheng-751	46	12	to	to	ADP
fumecheng-751	46	13	the	the	DET
fumecheng-751	46	14	following	follow	VERB
fumecheng-751	46	15	rule	rule	NOUN
fumecheng-751	46	16	of	of	ADP
fumecheng-751	46	17	hess	hess	NOUN
fumecheng-751	46	18	:	:	PUNCT
fumecheng-751	46	19	if	if	SCONJ
fumecheng-751	46	20	a	a	DET
fumecheng-751	46	21	body	body	NOUN
fumecheng-751	46	22	of	of	ADP
fumecheng-751	46	23	revolution	revolution	NOUN
fumecheng-751	46	24	is	be	AUX
fumecheng-751	46	25	described	describe	VERB
fumecheng-751	46	26	by	by	ADP
fumecheng-751	46	27	equation	equation	NOUN
fumecheng-751	47	1	z	z	NOUN
fumecheng-751	47	2	=	=	SYM
fumecheng-751	47	3	z(r	z(r	NOUN
fumecheng-751	47	4	)	)	PUNCT
fumecheng-751	47	5	,	,	PUNCT
fumecheng-751	47	6	then	then	ADV
fumecheng-751	47	7	the	the	DET
fumecheng-751	47	8	equivalent	equivalent	ADJ
fumecheng-751	47	9	one	one	NUM
fumecheng-751	47	10	-	-	PUNCT
fumecheng-751	47	11	dimensional	dimensional	ADJ
fumecheng-751	47	12	profile	profile	NOUN
fumecheng-751	47	13	is	be	AUX
fumecheng-751	47	14	defined	define	VERB
fumecheng-751	47	15	as	as	ADP
fumecheng-751	47	16	42	42	NUM
fumecheng-751	47	17	v.l	v.l	PROPN
fumecheng-751	47	18	.	.	PROPN
fumecheng-751	47	19	popov	popov	PROPN
fumecheng-751	47	20	1	1	NUM
fumecheng-751	47	21	2	2	NUM
fumecheng-751	47	22	2	2	NUM
fumecheng-751	47	23	0	0	NUM
fumecheng-751	47	24	(	(	PUNCT
fumecheng-751	47	25	)	)	PUNCT
fumecheng-751	47	26	(	(	PUNCT
fumecheng-751	47	27	)	)	PUNCT
fumecheng-751	48	1	d	d	X
fumecheng-751	48	2	x	x	SYM
fumecheng-751	48	3	d	d	NOUN
fumecheng-751	48	4	z	z	NOUN
fumecheng-751	48	5	rz	rz	NOUN
fumecheng-751	48	6	x	x	PUNCT
fumecheng-751	48	7	x	x	PUNCT
fumecheng-751	48	8	r	r	NOUN
fumecheng-751	48	9	x	x	PUNCT
fumecheng-751	48	10	r	r	NOUN
fumecheng-751	48	11	′	′	NUM
fumecheng-751	48	12	=	=	PUNCT
fumecheng-751	49	1	−	−	PROPN
fumecheng-751	49	2	∫	∫	PROPN
fumecheng-751	49	3	.	.	PUNCT
fumecheng-751	50	1	(	(	PUNCT
fumecheng-751	50	2	3	3	X
fumecheng-751	50	3	)	)	PUNCT
fumecheng-751	50	4	it	it	PRON
fumecheng-751	50	5	is	be	AUX
fumecheng-751	50	6	proven	prove	VERB
fumecheng-751	50	7	in	in	ADP
fumecheng-751	50	8	[	[	X
fumecheng-751	50	9	14	14	NUM
fumecheng-751	50	10	]	]	PUNCT
fumecheng-751	50	11	and	and	CCONJ
fumecheng-751	50	12	[	[	X
fumecheng-751	50	13	22	22	NUM
fumecheng-751	50	14	]	]	PUNCT
fumecheng-751	50	15	that	that	SCONJ
fumecheng-751	50	16	the	the	DET
fumecheng-751	50	17	contact	contact	NOUN
fumecheng-751	50	18	of	of	ADP
fumecheng-751	50	19	the	the	DET
fumecheng-751	50	20	modified	modify	VERB
fumecheng-751	50	21	1d	1d	NUM
fumecheng-751	50	22	profile	profile	NOUN
fumecheng-751	50	23	will	will	AUX
fumecheng-751	50	24	provide	provide	VERB
fumecheng-751	50	25	exactly	exactly	ADV
fumecheng-751	50	26	the	the	DET
fumecheng-751	50	27	same	same	ADJ
fumecheng-751	50	28	relations	relation	NOUN
fumecheng-751	50	29	between	between	ADP
fumecheng-751	50	30	the	the	DET
fumecheng-751	50	31	normal	normal	ADJ
fumecheng-751	50	32	force	force	NOUN
fumecheng-751	50	33	,	,	PUNCT
fumecheng-751	50	34	the	the	DET
fumecheng-751	50	35	indentation	indentation	NOUN
fumecheng-751	50	36	depth	depth	NOUN
fumecheng-751	50	37	,	,	PUNCT
fumecheng-751	50	38	and	and	CCONJ
fumecheng-751	50	39	the	the	DET
fumecheng-751	50	40	contact	contact	NOUN
fumecheng-751	50	41	radius	radius	NOUN
fumecheng-751	50	42	as	as	ADP
fumecheng-751	50	43	in	in	ADP
fumecheng-751	50	44	the	the	DET
fumecheng-751	50	45	initial	initial	ADJ
fumecheng-751	50	46	full	full	ADJ
fumecheng-751	50	47	three	three	NUM
fumecheng-751	50	48	-	-	PUNCT
fumecheng-751	50	49	dimensional	dimensional	ADJ
fumecheng-751	50	50	problem	problem	NOUN
fumecheng-751	50	51	.	.	PUNCT
fumecheng-751	51	1	if	if	SCONJ
fumecheng-751	51	2	the	the	DET
fumecheng-751	51	3	three	three	NUM
fumecheng-751	51	4	-	-	PUNCT
fumecheng-751	51	5	dimensional	dimensional	ADJ
fumecheng-751	51	6	profile	profile	NOUN
fumecheng-751	51	7	is	be	AUX
fumecheng-751	51	8	described	describe	VERB
fumecheng-751	51	9	by	by	ADP
fumecheng-751	51	10	a	a	DET
fumecheng-751	51	11	power	power	NOUN
fumecheng-751	51	12	-	-	PUNCT
fumecheng-751	51	13	function	function	NOUN
fumecheng-751	51	14	with	with	ADP
fumecheng-751	51	15	an	an	DET
fumecheng-751	51	16	arbitrary	arbitrary	ADJ
fumecheng-751	51	17	positive	positive	ADJ
fumecheng-751	51	18	power	power	NOUN
fumecheng-751	51	19	n	n	NOUN
fumecheng-751	51	20	,	,	PUNCT
fumecheng-751	51	21	(	(	PUNCT
fumecheng-751	51	22	4	4	NUM
fumecheng-751	51	23	)	)	PUNCT
fumecheng-751	51	24	(	(	PUNCT
fumecheng-751	51	25	)	)	PUNCT
fumecheng-751	52	1	n	n	X
fumecheng-751	52	2	nz	nz	NOUN
fumecheng-751	52	3	r	r	NOUN
fumecheng-751	52	4	c	c	PROPN
fumecheng-751	52	5	r=	r=	VERB
fumecheng-751	52	6	the	the	DET
fumecheng-751	52	7	equivalent	equivalent	ADJ
fumecheng-751	52	8	one	one	NUM
fumecheng-751	52	9	-	-	PUNCT
fumecheng-751	52	10	dimensional	dimensional	ADJ
fumecheng-751	52	11	profile	profile	NOUN
fumecheng-751	52	12	is	be	AUX
fumecheng-751	52	13	a	a	DET
fumecheng-751	52	14	power	power	NOUN
fumecheng-751	52	15	-	-	PUNCT
fumecheng-751	52	16	function	function	NOUN
fumecheng-751	52	17	with	with	ADP
fumecheng-751	52	18	the	the	DET
fumecheng-751	52	19	same	same	ADJ
fumecheng-751	52	20	power	power	NOUN
fumecheng-751	52	21	,	,	PUNCT
fumecheng-751	52	22	but	but	CCONJ
fumecheng-751	52	23	a	a	DET
fumecheng-751	52	24	modified	modified	ADJ
fumecheng-751	52	25	coefficient	coefficient	NOUN
fumecheng-751	52	26	:	:	PUNCT
fumecheng-751	52	27	1	1	NUM
fumecheng-751	52	28	1	1	NUM
fumecheng-751	52	29	2	2	NUM
fumecheng-751	52	30	2	2	NUM
fumecheng-751	52	31	0	0	NUM
fumecheng-751	52	32	(	(	PUNCT
fumecheng-751	52	33	)	)	PUNCT
fumecheng-751	52	34	d	d	NOUN
fumecheng-751	52	35	x	x	SYM
fumecheng-751	52	36	n	n	CCONJ
fumecheng-751	52	37	n	n	NOUN
fumecheng-751	52	38	d	d	PROPN
fumecheng-751	52	39	n	n	NOUN
fumecheng-751	52	40	n	n	ADV
fumecheng-751	52	41	nrz	nrz	NOUN
fumecheng-751	52	42	x	x	PUNCT
fumecheng-751	53	1	c	c	NOUN
fumecheng-751	53	2	x	x	SYM
fumecheng-751	53	3	r	r	NOUN
fumecheng-751	53	4	c	c	NOUN
fumecheng-751	53	5	x	x	SYM
fumecheng-751	53	6	x	x	PUNCT
fumecheng-751	53	7	r	r	NOUN
fumecheng-751	53	8	−	−	NOUN
fumecheng-751	53	9	=	=	SYM
fumecheng-751	54	1	−	−	NOUN
fumecheng-751	54	2	∫	∫	PROPN
fumecheng-751	54	3	%	%	NOUN
fumecheng-751	54	4	=	=	PUNCT
fumecheng-751	54	5	nc	nc	PROPN
fumecheng-751	54	6	,	,	PUNCT
fumecheng-751	54	7	(	(	PUNCT
fumecheng-751	54	8	5	5	NUM
fumecheng-751	54	9	)	)	PUNCT
fumecheng-751	54	10	where	where	SCONJ
fumecheng-751	54	11	n	n	X
fumecheng-751	54	12	nc	nc	PROPN
fumecheng-751	54	13	κ=%	κ=%	PROPN
fumecheng-751	54	14	(	(	PUNCT
fumecheng-751	54	15	6	6	NUM
fumecheng-751	54	16	)	)	PUNCT
fumecheng-751	54	17	and	and	CCONJ
fumecheng-751	54	18	2	2	NUM
fumecheng-751	54	19	1	1	NUM
fumecheng-751	54	20	2	2	NUM
fumecheng-751	54	21	2	2	NUM
fumecheng-751	54	22	(	(	PUNCT
fumecheng-751	54	23	)	)	PUNCT
fumecheng-751	54	24	2	2	NUM
fumecheng-751	54	25	(	(	PUNCT
fumecheng-751	54	26	)	)	PUNCT
fumecheng-751	54	27	n	n	CCONJ
fumecheng-751	54	28	n	n	CCONJ
fumecheng-751	54	29	n	n	CCONJ
fumecheng-751	54	30	nγπ	nγπ	NOUN
fumecheng-751	54	31	κ	κ	PROPN
fumecheng-751	54	32	=	=	SYM
fumecheng-751	54	33	γ	γ	X
fumecheng-751	54	34	+	+	X
fumecheng-751	54	35	.	.	PUNCT
fumecheng-751	55	1	(	(	PUNCT
fumecheng-751	55	2	7	7	NUM
fumecheng-751	55	3	)	)	PUNCT
fumecheng-751	55	4	(	(	PUNCT
fumecheng-751	55	5	)	)	PUNCT
fumecheng-751	55	6	nγ	nγ	NOUN
fumecheng-751	55	7	is	be	AUX
fumecheng-751	55	8	the	the	DET
fumecheng-751	55	9	gamma	gamma	NOUN
fumecheng-751	55	10	-	-	PUNCT
fumecheng-751	55	11	function	function	NOUN
fumecheng-751	55	12	.	.	PUNCT
fumecheng-751	56	1	(	(	PUNCT
fumecheng-751	56	2	8)	8)	NUM
fumecheng-751	56	3	1	1	NUM
fumecheng-751	56	4	0	0	NUM
fumecheng-751	56	5	(	(	PUNCT
fumecheng-751	56	6	)	)	PUNCT
fumecheng-751	56	7	dn	dn	PROPN
fumecheng-751	56	8	tn	tn	PROPN
fumecheng-751	56	9	t	t	PROPN
fumecheng-751	56	10	e	e	X
fumecheng-751	56	11	∞	∞	NUM
fumecheng-751	56	12	−	−	NOUN
fumecheng-751	56	13	−γ	−γ	NOUN
fumecheng-751	56	14	=	=	SYM
fumecheng-751	56	15	∫	∫	PROPN
fumecheng-751	56	16	t	t	PROPN
fumecheng-751	56	17	in	in	ADP
fumecheng-751	56	18	particular	particular	ADJ
fumecheng-751	56	19	,	,	PUNCT
fumecheng-751	56	20	for	for	ADP
fumecheng-751	56	21	a	a	DET
fumecheng-751	56	22	cone	cone	NOUN
fumecheng-751	56	23	(	(	PUNCT
fumecheng-751	56	24	n	n	NOUN
fumecheng-751	56	25	=	=	SYM
fumecheng-751	56	26	1	1	X
fumecheng-751	56	27	)	)	PUNCT
fumecheng-751	56	28	we	we	PRON
fumecheng-751	56	29	get	get	VERB
fumecheng-751	56	30	κ1	κ1	NOUN
fumecheng-751	56	31	=	=	PROPN
fumecheng-751	56	32	π	π	PROPN
fumecheng-751	56	33	/2	/2	NOUN
fumecheng-751	56	34	and	and	CCONJ
fumecheng-751	56	35	for	for	ADP
fumecheng-751	56	36	a	a	DET
fumecheng-751	56	37	parabolic	parabolic	ADJ
fumecheng-751	56	38	profile	profile	NOUN
fumecheng-751	56	39	(	(	PUNCT
fumecheng-751	56	40	n	n	NOUN
fumecheng-751	56	41	=	=	SYM
fumecheng-751	56	42	2	2	NUM
fumecheng-751	56	43	)	)	PUNCT
fumecheng-751	56	44	κ2	κ2	NOUN
fumecheng-751	56	45	=	=	SYM
fumecheng-751	57	1	2	2	X
fumecheng-751	57	2	.	.	PUNCT
fumecheng-751	57	3	this	this	DET
fumecheng-751	57	4	last	last	ADJ
fumecheng-751	57	5	case	case	NOUN
fumecheng-751	57	6	is	be	AUX
fumecheng-751	57	7	known	know	VERB
fumecheng-751	57	8	as	as	ADP
fumecheng-751	57	9	the	the	DET
fumecheng-751	57	10	rule	rule	NOUN
fumecheng-751	57	11	of	of	ADP
fumecheng-751	57	12	popov	popov	NOUN
fumecheng-751	57	13	[	[	X
fumecheng-751	57	14	14	14	NUM
fumecheng-751	57	15	]	]	X
fumecheng-751	57	16	(	(	PUNCT
fumecheng-751	57	17	fig	fig	NOUN
fumecheng-751	57	18	.	.	PUNCT
fumecheng-751	58	1	2	2	NUM
fumecheng-751	58	2	)	)	PUNCT
fumecheng-751	58	3	.	.	PUNCT
fumecheng-751	59	1	r	r	NOUN
fumecheng-751	59	2	fn	fn	NOUN
fumecheng-751	59	3	fn	fn	NOUN
fumecheng-751	59	4	r	r	NOUN
fumecheng-751	59	5	1	1	NUM
fumecheng-751	59	6	d	d	NOUN
fumecheng-751	59	7	a	a	DET
fumecheng-751	59	8	a	a	DET
fumecheng-751	59	9	b	b	NOUN
fumecheng-751	59	10	fig	fig	NOUN
fumecheng-751	59	11	.	.	PUNCT
fumecheng-751	60	1	2	2	NUM
fumecheng-751	60	2	(	(	PUNCT
fumecheng-751	60	3	a	a	NOUN
fumecheng-751	60	4	)	)	PUNCT
fumecheng-751	60	5	a	a	DET
fumecheng-751	60	6	three	three	NUM
fumecheng-751	60	7	-	-	PUNCT
fumecheng-751	60	8	dimensional	dimensional	ADJ
fumecheng-751	60	9	contact	contact	NOUN
fumecheng-751	60	10	and	and	CCONJ
fumecheng-751	60	11	(	(	PUNCT
fumecheng-751	60	12	b	b	X
fumecheng-751	60	13	)	)	PUNCT
fumecheng-751	60	14	its	its	PRON
fumecheng-751	60	15	one	one	NUM
fumecheng-751	60	16	-	-	PUNCT
fumecheng-751	60	17	dimensional	dimensional	ADJ
fumecheng-751	60	18	representation	representation	NOUN
fumecheng-751	60	19	in	in	ADP
fumecheng-751	60	20	the	the	DET
fumecheng-751	60	21	mdr	mdr	NOUN
fumecheng-751	60	22	the	the	DET
fumecheng-751	60	23	solution	solution	NOUN
fumecheng-751	60	24	of	of	ADP
fumecheng-751	60	25	the	the	DET
fumecheng-751	60	26	one	one	NUM
fumecheng-751	60	27	-	-	PUNCT
fumecheng-751	60	28	dimensional	dimensional	ADJ
fumecheng-751	60	29	problem	problem	NOUN
fumecheng-751	60	30	provides	provide	VERB
fumecheng-751	60	31	not	not	PART
fumecheng-751	60	32	only	only	ADV
fumecheng-751	60	33	correct	correct	ADJ
fumecheng-751	60	34	relations	relation	NOUN
fumecheng-751	60	35	between	between	ADP
fumecheng-751	60	36	the	the	DET
fumecheng-751	60	37	global	global	ADJ
fumecheng-751	60	38	properties	property	NOUN
fumecheng-751	60	39	(	(	PUNCT
fumecheng-751	60	40	total	total	ADJ
fumecheng-751	60	41	force	force	NOUN
fumecheng-751	60	42	,	,	PUNCT
fumecheng-751	60	43	indentation	indentation	NOUN
fumecheng-751	60	44	depth	depth	NOUN
fumecheng-751	60	45	and	and	CCONJ
fumecheng-751	60	46	contact	contact	NOUN
fumecheng-751	60	47	radius	radius	NOUN
fumecheng-751	60	48	)	)	PUNCT
fumecheng-751	60	49	,	,	PUNCT
fumecheng-751	60	50	but	but	CCONJ
fumecheng-751	60	51	allows	allow	VERB
fumecheng-751	60	52	to	to	PART
fumecheng-751	60	53	determine	determine	VERB
fumecheng-751	60	54	the	the	DET
fumecheng-751	60	55	exact	exact	ADJ
fumecheng-751	60	56	three	three	NUM
fumecheng-751	60	57	-	-	PUNCT
fumecheng-751	60	58	dimensional	dimensional	ADJ
fumecheng-751	60	59	distributions	distribution	NOUN
fumecheng-751	60	60	of	of	ADP
fumecheng-751	60	61	stress	stress	NOUN
fumecheng-751	60	62	.	.	PUNCT
fumecheng-751	61	1	in	in	ADP
fumecheng-751	61	2	the	the	DET
fumecheng-751	61	3	elastic	elastic	ADJ
fumecheng-751	61	4	foundation	foundation	NOUN
fumecheng-751	61	5	,	,	PUNCT
fumecheng-751	61	6	normal	normal	ADJ
fumecheng-751	61	7	forces	force	NOUN
fumecheng-751	61	8	f	f	X
fumecheng-751	61	9	(	(	PUNCT
fumecheng-751	61	10	x	x	NOUN
fumecheng-751	61	11	)	)	PUNCT
fumecheng-751	61	12	of	of	ADP
fumecheng-751	61	13	separate	separate	ADJ
fumecheng-751	61	14	springs	spring	NOUN
fumecheng-751	61	15	are	be	AUX
fumecheng-751	61	16	immediately	immediately	ADV
fumecheng-751	61	17	determined	determined	ADJ
fumecheng-751	61	18	for	for	ADP
fumecheng-751	61	19	any	any	DET
fumecheng-751	61	20	contact	contact	NOUN
fumecheng-751	61	21	configuration	configuration	NOUN
fumecheng-751	61	22	.	.	PUNCT
fumecheng-751	62	1	we	we	PRON
fumecheng-751	62	2	can	can	AUX
fumecheng-751	62	3	define	define	VERB
fumecheng-751	62	4	linear	linear	ADJ
fumecheng-751	62	5	force	force	NOUN
fumecheng-751	62	6	density	density	NOUN
fumecheng-751	62	7	q(x	q(x	NOUN
fumecheng-751	62	8	)	)	PUNCT
fumecheng-751	62	9	by	by	ADP
fumecheng-751	62	10	dividing	divide	VERB
fumecheng-751	62	11	these	these	DET
fumecheng-751	62	12	forces	force	NOUN
fumecheng-751	62	13	with	with	ADP
fumecheng-751	62	14	spacing	space	VERB
fumecheng-751	62	15	xδ	xδ	PROPN
fumecheng-751	62	16	:	:	PUNCT
fumecheng-751	62	17	analysis	analysis	NOUN
fumecheng-751	62	18	of	of	ADP
fumecheng-751	62	19	impact	impact	NOUN
fumecheng-751	62	20	on	on	ADP
fumecheng-751	62	21	composite	composite	ADJ
fumecheng-751	62	22	structures	structure	NOUN
fumecheng-751	62	23	with	with	ADP
fumecheng-751	62	24	the	the	DET
fumecheng-751	62	25	method	method	NOUN
fumecheng-751	62	26	of	of	ADP
fumecheng-751	62	27	dimensionality	dimensionality	NOUN
fumecheng-751	62	28	reduction	reduction	NOUN
fumecheng-751	62	29	43	43	NUM
fumecheng-751	62	30	(	(	PUNCT
fumecheng-751	62	31	)	)	PUNCT
fumecheng-751	62	32	(	(	PUNCT
fumecheng-751	62	33	)	)	PUNCT
fumecheng-751	62	34	f	f	PROPN
fumecheng-751	62	35	xq	xq	X
fumecheng-751	62	36	x	x	PUNCT
fumecheng-751	62	37	x	x	X
fumecheng-751	62	38	=	=	PUNCT
fumecheng-751	62	39	δ	δ	PROPN
fumecheng-751	62	40	.	.	PUNCT
fumecheng-751	63	1	(	(	PUNCT
fumecheng-751	63	2	9	9	NUM
fumecheng-751	63	3	)	)	PUNCT
fumecheng-751	63	4	in	in	ADP
fumecheng-751	63	5	[	[	X
fumecheng-751	63	6	14	14	NUM
fumecheng-751	63	7	]	]	PUNCT
fumecheng-751	63	8	,	,	PUNCT
fumecheng-751	63	9	it	it	PRON
fumecheng-751	63	10	is	be	AUX
fumecheng-751	63	11	shown	show	VERB
fumecheng-751	63	12	,	,	PUNCT
fumecheng-751	63	13	that	that	DET
fumecheng-751	63	14	normal	normal	ADJ
fumecheng-751	63	15	stress	stress	NOUN
fumecheng-751	63	16	σzz(r	σzz(r	NOUN
fumecheng-751	63	17	)	)	PUNCT
fumecheng-751	63	18	in	in	ADP
fumecheng-751	63	19	the	the	DET
fumecheng-751	63	20	contact	contact	NOUN
fumecheng-751	63	21	area	area	NOUN
fumecheng-751	63	22	can	can	AUX
fumecheng-751	63	23	be	be	AUX
fumecheng-751	63	24	obtained	obtain	VERB
fumecheng-751	63	25	from	from	ADP
fumecheng-751	63	26	linear	linear	PROPN
fumecheng-751	63	27	force	force	NOUN
fumecheng-751	63	28	density	density	NOUN
fumecheng-751	63	29	q(x	q(x	NOUN
fumecheng-751	63	30	)	)	PUNCT
fumecheng-751	63	31	by	by	ADP
fumecheng-751	63	32	the	the	DET
fumecheng-751	63	33	following	follow	VERB
fumecheng-751	63	34	integral	integral	ADJ
fumecheng-751	63	35	transformation	transformation	NOUN
fumecheng-751	63	36	:	:	PUNCT
fumecheng-751	63	37	2	2	NUM
fumecheng-751	63	38	2	2	NUM
fumecheng-751	63	39	1	1	NUM
fumecheng-751	63	40	(	(	PUNCT
fumecheng-751	63	41	)	)	PUNCT
fumecheng-751	63	42	(	(	PUNCT
fumecheng-751	63	43	)	)	PUNCT
fumecheng-751	63	44	dzz	dzz	PROPN
fumecheng-751	63	45	r	r	NOUN
fumecheng-751	63	46	q	q	PROPN
fumecheng-751	63	47	xr	xr	PROPN
fumecheng-751	63	48	x	x	PUNCT
fumecheng-751	63	49	r	r	NOUN
fumecheng-751	63	50	σ	σ	PROPN
fumecheng-751	63	51	π	π	NOUN
fumecheng-751	63	52	∞	∞	NUM
fumecheng-751	63	53	′	′	NUM
fumecheng-751	64	1	=	=	PUNCT
fumecheng-751	65	1	−	−	PROPN
fumecheng-751	65	2	∫	∫	PROPN
fumecheng-751	65	3	x	x	X
fumecheng-751	65	4	.	.	PUNCT
fumecheng-751	66	1	(	(	PUNCT
fumecheng-751	66	2	10	10	NUM
fumecheng-751	66	3	)	)	PUNCT
fumecheng-751	66	4	3	3	NUM
fumecheng-751	66	5	.	.	PUNCT
fumecheng-751	66	6	plasticity	plasticity	NOUN
fumecheng-751	66	7	criterion	criterion	NOUN
fumecheng-751	66	8	in	in	ADP
fumecheng-751	66	9	the	the	DET
fumecheng-751	66	10	method	method	NOUN
fumecheng-751	66	11	of	of	ADP
fumecheng-751	66	12	dimensionality	dimensionality	NOUN
fumecheng-751	66	13	reduction	reduction	NOUN
fumecheng-751	66	14	as	as	SCONJ
fumecheng-751	66	15	stated	state	VERB
fumecheng-751	66	16	above	above	ADV
fumecheng-751	66	17	,	,	PUNCT
fumecheng-751	66	18	basically	basically	ADV
fumecheng-751	66	19	all	all	DET
fumecheng-751	66	20	properties	property	NOUN
fumecheng-751	66	21	which	which	PRON
fumecheng-751	66	22	in	in	ADP
fumecheng-751	66	23	three	three	NUM
fumecheng-751	66	24	dimensions	dimension	NOUN
fumecheng-751	66	25	are	be	AUX
fumecheng-751	66	26	proportional	proportional	ADJ
fumecheng-751	66	27	to	to	ADP
fumecheng-751	66	28	the	the	DET
fumecheng-751	66	29	contact	contact	NOUN
fumecheng-751	66	30	radius	radius	NOUN
fumecheng-751	66	31	,	,	PUNCT
fumecheng-751	66	32	can	can	AUX
fumecheng-751	66	33	be	be	AUX
fumecheng-751	66	34	easily	easily	ADV
fumecheng-751	66	35	mapped	map	VERB
fumecheng-751	66	36	to	to	ADP
fumecheng-751	66	37	an	an	DET
fumecheng-751	66	38	appropriate	appropriate	ADJ
fumecheng-751	66	39	one	one	NUM
fumecheng-751	66	40	-	-	PUNCT
fumecheng-751	66	41	dimensional	dimensional	ADJ
fumecheng-751	66	42	system	system	NOUN
fumecheng-751	66	43	.	.	PUNCT
fumecheng-751	67	1	for	for	ADP
fumecheng-751	67	2	plasticity	plasticity	NOUN
fumecheng-751	67	3	,	,	PUNCT
fumecheng-751	67	4	this	this	PRON
fumecheng-751	67	5	is	be	AUX
fumecheng-751	67	6	the	the	DET
fumecheng-751	67	7	case	case	NOUN
fumecheng-751	67	8	if	if	SCONJ
fumecheng-751	67	9	the	the	DET
fumecheng-751	67	10	indentation	indentation	NOUN
fumecheng-751	67	11	force	force	NOUN
fumecheng-751	67	12	is	be	AUX
fumecheng-751	67	13	proportional	proportional	ADJ
fumecheng-751	67	14	to	to	ADP
fumecheng-751	67	15	the	the	DET
fumecheng-751	67	16	indentation	indentation	NOUN
fumecheng-751	67	17	radius	radius	NOUN
fumecheng-751	67	18	:	:	PUNCT
fumecheng-751	67	19	2	2	NUM
fumecheng-751	67	20	n	n	ADP
fumecheng-751	67	21	c	c	NOUN
fumecheng-751	67	22	cf	cf	NOUN
fumecheng-751	67	23	a	a	DET
fumecheng-751	67	24	qπσ	qπσ	NOUN
fumecheng-751	67	25	π=	π=	NOUN
fumecheng-751	67	26	=	=	NOUN
fumecheng-751	67	27	a	a	X
fumecheng-751	67	28	.	.	PUNCT
fumecheng-751	68	1	(	(	PUNCT
fumecheng-751	68	2	11	11	NUM
fumecheng-751	68	3	)	)	PUNCT
fumecheng-751	68	4	it	it	PRON
fumecheng-751	68	5	is	be	AUX
fumecheng-751	68	6	easily	easily	ADV
fumecheng-751	68	7	seen	see	VERB
fumecheng-751	68	8	that	that	SCONJ
fumecheng-751	68	9	we	we	PRON
fumecheng-751	68	10	reproduce	reproduce	VERB
fumecheng-751	68	11	this	this	DET
fumecheng-751	68	12	behavior	behavior	NOUN
fumecheng-751	68	13	by	by	ADP
fumecheng-751	68	14	introduction	introduction	NOUN
fumecheng-751	68	15	of	of	ADP
fumecheng-751	68	16	the	the	DET
fumecheng-751	68	17	following	follow	VERB
fumecheng-751	68	18	criterion	criterion	NOUN
fumecheng-751	68	19	for	for	ADP
fumecheng-751	68	20	plastic	plastic	NOUN
fumecheng-751	68	21	yielding	yielding	NOUN
fumecheng-751	68	22	of	of	ADP
fumecheng-751	68	23	the	the	DET
fumecheng-751	68	24	one	one	NUM
fumecheng-751	68	25	-	-	PUNCT
fumecheng-751	68	26	dimensional	dimensional	ADJ
fumecheng-751	68	27	model	model	NOUN
fumecheng-751	68	28	described	describe	VERB
fumecheng-751	68	29	in	in	ADP
fumecheng-751	68	30	the	the	DET
fumecheng-751	68	31	previous	previous	ADJ
fumecheng-751	68	32	section	section	NOUN
fumecheng-751	68	33	:	:	PUNCT
fumecheng-751	69	1	2c	2c	NUM
fumecheng-751	69	2	cf	cf	NOUN
fumecheng-751	69	3	q	q	NOUN
fumecheng-751	69	4	xπ	xπ	NOUN
fumecheng-751	69	5	=	=	SYM
fumecheng-751	69	6	δ	δ	PROPN
fumecheng-751	69	7	.	.	PUNCT
fumecheng-751	70	1	(	(	PUNCT
fumecheng-751	70	2	12	12	NUM
fumecheng-751	70	3	)	)	PUNCT
fumecheng-751	70	4	note	note	NOUN
fumecheng-751	70	5	that	that	SCONJ
fumecheng-751	70	6	while	while	SCONJ
fumecheng-751	70	7	the	the	DET
fumecheng-751	70	8	three	three	NUM
fumecheng-751	70	9	-	-	PUNCT
fumecheng-751	70	10	dimensional	dimensional	ADJ
fumecheng-751	70	11	criterion	criterion	NOUN
fumecheng-751	70	12	is	be	AUX
fumecheng-751	70	13	a	a	DET
fumecheng-751	70	14	non	non	ADJ
fumecheng-751	70	15	-	-	ADJ
fumecheng-751	70	16	local	local	ADJ
fumecheng-751	70	17	one	one	NOUN
fumecheng-751	70	18	,	,	PUNCT
fumecheng-751	70	19	the	the	DET
fumecheng-751	70	20	corresponding	corresponding	ADJ
fumecheng-751	70	21	criterion	criterion	NOUN
fumecheng-751	70	22	in	in	ADP
fumecheng-751	70	23	the	the	DET
fumecheng-751	70	24	equivalent	equivalent	ADJ
fumecheng-751	70	25	one	one	NUM
fumecheng-751	70	26	-	-	PUNCT
fumecheng-751	70	27	dimensional	dimensional	ADJ
fumecheng-751	70	28	model	model	NOUN
fumecheng-751	70	29	occurs	occur	VERB
fumecheng-751	70	30	to	to	PART
fumecheng-751	70	31	be	be	AUX
fumecheng-751	70	32	local	local	ADJ
fumecheng-751	70	33	.	.	PUNCT
fumecheng-751	71	1	further	further	PROPN
fumecheng-751	71	2	numerical	numerical	PROPN
fumecheng-751	71	3	investigation	investigation	NOUN
fumecheng-751	71	4	of	of	ADP
fumecheng-751	71	5	the	the	DET
fumecheng-751	71	6	model	model	NOUN
fumecheng-751	71	7	could	could	AUX
fumecheng-751	71	8	lead	lead	VERB
fumecheng-751	71	9	to	to	ADP
fumecheng-751	71	10	another	another	DET
fumecheng-751	71	11	coefficient	coefficient	NOUN
fumecheng-751	71	12	of	of	ADP
fumecheng-751	71	13	proportionality	proportionality	NOUN
fumecheng-751	71	14	in	in	ADP
fumecheng-751	71	15	eq	eq	ADP
fumecheng-751	71	16	.	.	PUNCT
fumecheng-751	72	1	(	(	PUNCT
fumecheng-751	72	2	12	12	NUM
fumecheng-751	72	3	)	)	PUNCT
fumecheng-751	72	4	,	,	PUNCT
fumecheng-751	72	5	but	but	CCONJ
fumecheng-751	72	6	they	they	PRON
fumecheng-751	72	7	can	can	AUX
fumecheng-751	72	8	not	not	PART
fumecheng-751	72	9	change	change	VERB
fumecheng-751	72	10	the	the	DET
fumecheng-751	72	11	functional	functional	ADJ
fumecheng-751	72	12	form	form	NOUN
fumecheng-751	72	13	of	of	ADP
fumecheng-751	72	14	this	this	DET
fumecheng-751	72	15	relation	relation	NOUN
fumecheng-751	72	16	.	.	PUNCT
fumecheng-751	73	1	with	with	ADP
fumecheng-751	73	2	criterion	criterion	NOUN
fumecheng-751	73	3	(	(	PUNCT
fumecheng-751	73	4	12	12	NUM
fumecheng-751	73	5	)	)	PUNCT
fumecheng-751	73	6	,	,	PUNCT
fumecheng-751	73	7	the	the	DET
fumecheng-751	73	8	complete	complete	ADJ
fumecheng-751	73	9	problem	problem	NOUN
fumecheng-751	73	10	of	of	ADP
fumecheng-751	73	11	an	an	DET
fumecheng-751	73	12	indentation	indentation	NOUN
fumecheng-751	73	13	in	in	ADP
fumecheng-751	73	14	a	a	DET
fumecheng-751	73	15	“	"	PUNCT
fumecheng-751	73	16	visco	visco	ADJ
fumecheng-751	73	17	-	-	ADJ
fumecheng-751	73	18	elastic	elastic	ADJ
fumecheng-751	73	19	,	,	PUNCT
fumecheng-751	73	20	nonlocally	nonlocally	ADV
fumecheng-751	73	21	plastic	plastic	NOUN
fumecheng-751	73	22	”	"	PUNCT
fumecheng-751	73	23	medium	medium	NOUN
fumecheng-751	73	24	is	be	AUX
fumecheng-751	73	25	reduced	reduce	VERB
fumecheng-751	73	26	completely	completely	ADV
fumecheng-751	73	27	to	to	ADP
fumecheng-751	73	28	a	a	DET
fumecheng-751	73	29	contact	contact	NOUN
fumecheng-751	73	30	problem	problem	NOUN
fumecheng-751	73	31	with	with	ADP
fumecheng-751	73	32	a	a	DET
fumecheng-751	73	33	one	one	NUM
fumecheng-751	73	34	dimensional	dimensional	ADJ
fumecheng-751	73	35	elastoplastic	elastoplastic	ADJ
fumecheng-751	73	36	foundation	foundation	NOUN
fumecheng-751	73	37	with	with	ADP
fumecheng-751	73	38	independent	independent	ADJ
fumecheng-751	73	39	elements	element	NOUN
fumecheng-751	73	40	.	.	PUNCT
fumecheng-751	74	1	4	4	X
fumecheng-751	74	2	.	.	X
fumecheng-751	74	3	impact	impact	NOUN
fumecheng-751	74	4	of	of	ADP
fumecheng-751	74	5	conical	conical	ADJ
fumecheng-751	74	6	profiles	profile	NOUN
fumecheng-751	74	7	on	on	ADP
fumecheng-751	74	8	the	the	DET
fumecheng-751	74	9	material	material	NOUN
fumecheng-751	74	10	with	with	ADP
fumecheng-751	74	11	a	a	DET
fumecheng-751	74	12	non	non	ADJ
fumecheng-751	74	13	-	-	ADJ
fumecheng-751	74	14	local	local	ADJ
fumecheng-751	74	15	yield	yield	NOUN
fumecheng-751	74	16	criterion	criterion	NOUN
fumecheng-751	74	17	as	as	ADP
fumecheng-751	74	18	an	an	DET
fumecheng-751	74	19	illustration	illustration	NOUN
fumecheng-751	74	20	,	,	PUNCT
fumecheng-751	74	21	let	let	VERB
fumecheng-751	74	22	us	we	PRON
fumecheng-751	74	23	consider	consider	VERB
fumecheng-751	74	24	an	an	DET
fumecheng-751	74	25	impact	impact	NOUN
fumecheng-751	74	26	of	of	ADP
fumecheng-751	74	27	a	a	DET
fumecheng-751	74	28	conical	conical	ADJ
fumecheng-751	74	29	profile	profile	NOUN
fumecheng-751	74	30	of	of	ADP
fumecheng-751	74	31	the	the	DET
fumecheng-751	74	32	form	form	NOUN
fumecheng-751	74	33	tanz	tanz	PROPN
fumecheng-751	74	34	rθ=	rθ=	PROPN
fumecheng-751	74	35	⋅	⋅	PROPN
fumecheng-751	74	36	(	(	PUNCT
fumecheng-751	74	37	13	13	NUM
fumecheng-751	74	38	)	)	PUNCT
fumecheng-751	74	39	with	with	ADP
fumecheng-751	74	40	an	an	DET
fumecheng-751	74	41	elastoplastic	elastoplastic	ADJ
fumecheng-751	74	42	medium	medium	NOUN
fumecheng-751	74	43	with	with	ADP
fumecheng-751	74	44	the	the	DET
fumecheng-751	74	45	non	non	ADJ
fumecheng-751	74	46	-	-	ADJ
fumecheng-751	74	47	local	local	ADJ
fumecheng-751	74	48	yield	yield	NOUN
fumecheng-751	74	49	criterion	criterion	NOUN
fumecheng-751	74	50	(	(	PUNCT
fumecheng-751	74	51	11	11	NUM
fumecheng-751	74	52	)	)	PUNCT
fumecheng-751	74	53	.	.	PUNCT
fumecheng-751	75	1	according	accord	VERB
fumecheng-751	75	2	to	to	ADP
fumecheng-751	75	3	the	the	DET
fumecheng-751	75	4	rule	rule	NOUN
fumecheng-751	75	5	of	of	ADP
fumecheng-751	75	6	hess	hess	NOUN
fumecheng-751	75	7	,	,	PUNCT
fumecheng-751	75	8	the	the	DET
fumecheng-751	75	9	equivalent	equivalent	ADJ
fumecheng-751	75	10	one	one	NUM
fumecheng-751	75	11	-	-	PUNCT
fumecheng-751	75	12	dimensional	dimensional	ADJ
fumecheng-751	75	13	profile	profile	NOUN
fumecheng-751	75	14	is	be	AUX
fumecheng-751	75	15	given	give	VERB
fumecheng-751	75	16	by	by	ADP
fumecheng-751	75	17	tan	tan	PROPN
fumecheng-751	75	18	2	2	NUM
fumecheng-751	75	19	z	z	NOUN
fumecheng-751	75	20	π	π	SYM
fumecheng-751	75	21	θ	θ	PROPN
fumecheng-751	75	22	x=	x=	PUNCT
fumecheng-751	76	1	⋅	⋅	PROPN
fumecheng-751	76	2	.	.	PUNCT
fumecheng-751	77	1	(	(	PUNCT
fumecheng-751	77	2	14	14	NUM
fumecheng-751	77	3	)	)	PUNCT
fumecheng-751	77	4	for	for	ADP
fumecheng-751	77	5	indentation	indentation	NOUN
fumecheng-751	77	6	depth	depth	NOUN
fumecheng-751	77	7	d	d	NOUN
fumecheng-751	77	8	,	,	PUNCT
fumecheng-751	77	9	the	the	DET
fumecheng-751	77	10	displacement	displacement	NOUN
fumecheng-751	77	11	of	of	ADP
fumecheng-751	77	12	a	a	DET
fumecheng-751	77	13	spring	spring	NOUN
fumecheng-751	77	14	having	have	VERB
fumecheng-751	77	15	coordinate	coordinate	NOUN
fumecheng-751	77	16	x	x	PUNCT
fumecheng-751	77	17	will	will	AUX
fumecheng-751	77	18	be	be	AUX
fumecheng-751	77	19	tan	tan	PROPN
fumecheng-751	77	20	2zu	2zu	NOUN
fumecheng-751	77	21	d	d	NOUN
fumecheng-751	78	1	xπ	xπ	ADP
fumecheng-751	78	2	θ=	θ=	PROPN
fumecheng-751	78	3	−	−	PROPN
fumecheng-751	78	4	⋅	⋅	PROPN
fumecheng-751	78	5	.	.	PUNCT
fumecheng-751	79	1	(	(	PUNCT
fumecheng-751	79	2	15	15	NUM
fumecheng-751	79	3	)	)	PUNCT
fumecheng-751	79	4	44	44	NUM
fumecheng-751	80	1	v.l	v.l	PROPN
fumecheng-751	80	2	.	.	PROPN
fumecheng-751	80	3	popov	popov	PROPN
fumecheng-751	80	4	the	the	DET
fumecheng-751	80	5	contact	contact	NOUN
fumecheng-751	80	6	radius	radius	NOUN
fumecheng-751	80	7	is	be	AUX
fumecheng-751	80	8	obtained	obtain	VERB
fumecheng-751	80	9	from	from	ADP
fumecheng-751	80	10	condition	condition	NOUN
fumecheng-751	80	11	zu	zu	NOUN
fumecheng-751	80	12	(	(	PUNCT
fumecheng-751	80	13	a	a	DET
fumecheng-751	80	14	)	)	PUNCT
fumecheng-751	80	15	d=	d=	NOUN
fumecheng-751	80	16	,	,	PUNCT
fumecheng-751	80	17	hence	hence	ADV
fumecheng-751	80	18	,	,	PUNCT
fumecheng-751	80	19	2	2	NUM
fumecheng-751	80	20	tan	tan	NOUN
fumecheng-751	80	21	da	da	NOUN
fumecheng-751	80	22	π	π	NOUN
fumecheng-751	80	23	θ	θ	X
fumecheng-751	80	24	=	=	PUNCT
fumecheng-751	80	25	.	.	PUNCT
fumecheng-751	81	1	(	(	PUNCT
fumecheng-751	81	2	16	16	NUM
fumecheng-751	81	3	)	)	PUNCT
fumecheng-751	81	4	the	the	DET
fumecheng-751	81	5	spring	spring	NOUN
fumecheng-751	81	6	forces	force	NOUN
fumecheng-751	81	7	which	which	PRON
fumecheng-751	81	8	are	be	AUX
fumecheng-751	81	9	still	still	ADV
fumecheng-751	81	10	in	in	ADP
fumecheng-751	81	11	the	the	DET
fumecheng-751	81	12	elastic	elastic	ADJ
fumecheng-751	81	13	state	state	NOUN
fumecheng-751	81	14	are	be	AUX
fumecheng-751	81	15	equal	equal	ADJ
fumecheng-751	81	16	to	to	ADP
fumecheng-751	81	17	*	*	PUNCT
fumecheng-751	81	18	(	(	PUNCT
fumecheng-751	81	19	)	)	PUNCT
fumecheng-751	81	20	tan	tan	PROPN
fumecheng-751	81	21	,	,	PUNCT
fumecheng-751	81	22	for	for	ADP
fumecheng-751	81	23	2	2	NUM
fumecheng-751	81	24	2	2	NUM
fumecheng-751	81	25	cf	cf	NOUN
fumecheng-751	81	26	x	x	PUNCT
fumecheng-751	82	1	e	e	NOUN
fumecheng-751	82	2	x	x	PROPN
fumecheng-751	82	3	d	d	NOUN
fumecheng-751	82	4	x	x	X
fumecheng-751	82	5	f	f	X
fumecheng-751	82	6	q	q	NOUN
fumecheng-751	82	7	xπ	xπ	ADP
fumecheng-751	82	8	θ⎛	θ⎛	PROPN
fumecheng-751	82	9	⎞=	⎞=	PROPN
fumecheng-751	82	10	δ	δ	PROPN
fumecheng-751	82	11	−	−	PROPN
fumecheng-751	82	12	⋅	⋅	PROPN
fumecheng-751	82	13	<	<	X
fumecheng-751	82	14	δ⎜	δ⎜	X
fumecheng-751	82	15	⎟	⎟	X
fumecheng-751	82	16	⎝	⎝	X
fumecheng-751	82	17	⎠	⎠	PROPN
fumecheng-751	82	18	π	π	PROPN
fumecheng-751	82	19	(	(	PUNCT
fumecheng-751	82	20	17	17	NUM
fumecheng-751	82	21	)	)	PUNCT
fumecheng-751	82	22	after	after	ADP
fumecheng-751	82	23	achieving	achieve	VERB
fumecheng-751	82	24	the	the	DET
fumecheng-751	82	25	critical	critical	ADJ
fumecheng-751	82	26	value	value	NOUN
fumecheng-751	82	27	,	,	PUNCT
fumecheng-751	82	28	the	the	DET
fumecheng-751	82	29	spring	spring	NOUN
fumecheng-751	82	30	force	force	NOUN
fumecheng-751	82	31	remains	remain	VERB
fumecheng-751	82	32	constant	constant	ADJ
fumecheng-751	82	33	and	and	CCONJ
fumecheng-751	82	34	equal	equal	ADJ
fumecheng-751	82	35	to	to	ADP
fumecheng-751	82	36	(	(	PUNCT
fumecheng-751	82	37	)	)	PUNCT
fumecheng-751	82	38	2	2	NUM
fumecheng-751	82	39	cf	cf	NOUN
fumecheng-751	82	40	x	x	NOUN
fumecheng-751	82	41	qπ	qπ	NOUN
fumecheng-751	82	42	x=	x=	PROPN
fumecheng-751	82	43	δ	δ	PROPN
fumecheng-751	82	44	.	.	PUNCT
fumecheng-751	83	1	(	(	PUNCT
fumecheng-751	83	2	18	18	NUM
fumecheng-751	83	3	)	)	PUNCT
fumecheng-751	83	4	up	up	ADP
fumecheng-751	83	5	to	to	ADP
fumecheng-751	83	6	the	the	DET
fumecheng-751	83	7	indentation	indentation	NOUN
fumecheng-751	83	8	depth	depth	NOUN
fumecheng-751	83	9	*	*	NOUN
fumecheng-751	83	10	2	2	NUM
fumecheng-751	83	11	c	c	NOUN
fumecheng-751	83	12	c	c	NOUN
fumecheng-751	83	13	qd	qd	NOUN
fumecheng-751	83	14	e	e	X
fumecheng-751	83	15	π	π	PROPN
fumecheng-751	83	16	=	=	SYM
fumecheng-751	83	17	,	,	PUNCT
fumecheng-751	83	18	(	(	PUNCT
fumecheng-751	83	19	19	19	NUM
fumecheng-751	83	20	)	)	PUNCT
fumecheng-751	83	21	there	there	PRON
fumecheng-751	83	22	will	will	AUX
fumecheng-751	83	23	be	be	AUX
fumecheng-751	83	24	no	no	DET
fumecheng-751	83	25	plastic	plastic	NOUN
fumecheng-751	83	26	yielding	yielding	NOUN
fumecheng-751	83	27	of	of	ADP
fumecheng-751	83	28	any	any	DET
fumecheng-751	83	29	spring	spring	NOUN
fumecheng-751	83	30	.	.	PUNCT
fumecheng-751	84	1	thus	thus	ADV
fumecheng-751	84	2	,	,	PUNCT
fumecheng-751	84	3	there	there	PRON
fumecheng-751	84	4	exists	exist	VERB
fumecheng-751	84	5	a	a	DET
fumecheng-751	84	6	critical	critical	ADJ
fumecheng-751	84	7	indentation	indentation	NOUN
fumecheng-751	84	8	force	force	NOUN
fumecheng-751	84	9	fc	fc	PROPN
fumecheng-751	84	10	for	for	ADP
fumecheng-751	84	11	starting	start	VERB
fumecheng-751	84	12	the	the	DET
fumecheng-751	84	13	plastic	plastic	NOUN
fumecheng-751	84	14	yielding	yielding	NOUN
fumecheng-751	84	15	:	:	PUNCT
fumecheng-751	84	16	2	2	NUM
fumecheng-751	84	17	*	*	PUNCT
fumecheng-751	84	18	*	*	PUNCT
fumecheng-751	85	1	*	*	PUNCT
fumecheng-751	85	2	0	0	NUM
fumecheng-751	85	3	0	0	NUM
fumecheng-751	85	4	12	12	NUM
fumecheng-751	85	5	(	(	PUNCT
fumecheng-751	85	6	)	)	PUNCT
fumecheng-751	85	7	d	d	SYM
fumecheng-751	85	8	2	2	NUM
fumecheng-751	85	9	(	(	PUNCT
fumecheng-751	85	10	(	(	PUNCT
fumecheng-751	85	11	/	/	SYM
fumecheng-751	85	12	2)tan	2)tan	NUM
fumecheng-751	85	13	)	)	PUNCT
fumecheng-751	86	1	d	d	NOUN
fumecheng-751	86	2	tan2	tan2	PROPN
fumecheng-751	87	1	c	c	PROPN
fumecheng-751	87	2	ca	can	AUX
fumecheng-751	87	3	a	a	DET
fumecheng-751	87	4	c	c	NOUN
fumecheng-751	87	5	c	c	NOUN
fumecheng-751	87	6	z	z	PROPN
fumecheng-751	87	7	c	c	NOUN
fumecheng-751	87	8	qf	qf	X
fumecheng-751	87	9	e	e	X
fumecheng-751	87	10	u	u	NOUN
fumecheng-751	87	11	x	x	X
fumecheng-751	87	12	x	x	X
fumecheng-751	87	13	e	e	NOUN
fumecheng-751	87	14	d	d	NOUN
fumecheng-751	87	15	x	x	X
fumecheng-751	87	16	x	x	X
fumecheng-751	87	17	e	e	NOUN
fumecheng-751	87	18	π	π	NOUN
fumecheng-751	87	19	π	π	X
fumecheng-751	87	20	θ	θ	PUNCT
fumecheng-751	87	21	θ	θ	X
fumecheng-751	87	22	=	=	PUNCT
fumecheng-751	88	1	=	=	PUNCT
fumecheng-751	88	2	−	−	PROPN
fumecheng-751	88	3	⋅	⋅	PROPN
fumecheng-751	88	4	=	=	NUM
fumecheng-751	88	5	∫	∫	PROPN
fumecheng-751	88	6	∫	∫	PROPN
fumecheng-751	88	7	.	.	PUNCT
fumecheng-751	89	1	(	(	PUNCT
fumecheng-751	89	2	20	20	NUM
fumecheng-751	89	3	)	)	PUNCT
fumecheng-751	89	4	after	after	ADP
fumecheng-751	89	5	exceeding	exceed	VERB
fumecheng-751	89	6	the	the	DET
fumecheng-751	89	7	critical	critical	ADJ
fumecheng-751	89	8	force	force	NOUN
fumecheng-751	89	9	,	,	PUNCT
fumecheng-751	89	10	the	the	DET
fumecheng-751	89	11	inner	inner	ADJ
fumecheng-751	89	12	part	part	NOUN
fumecheng-751	89	13	of	of	ADP
fumecheng-751	89	14	the	the	DET
fumecheng-751	89	15	contact	contact	NOUN
fumecheng-751	89	16	will	will	AUX
fumecheng-751	89	17	be	be	AUX
fumecheng-751	89	18	in	in	ADP
fumecheng-751	89	19	the	the	DET
fumecheng-751	89	20	state	state	NOUN
fumecheng-751	89	21	of	of	ADP
fumecheng-751	89	22	plastic	plastic	ADJ
fumecheng-751	89	23	yield	yield	NOUN
fumecheng-751	89	24	.	.	PUNCT
fumecheng-751	90	1	radius	radius	NOUN
fumecheng-751	90	2	c	c	PROPN
fumecheng-751	90	3	of	of	ADP
fumecheng-751	90	4	the	the	DET
fumecheng-751	90	5	plastically	plastically	ADV
fumecheng-751	90	6	deformed	deform	VERB
fumecheng-751	90	7	area	area	NOUN
fumecheng-751	90	8	is	be	AUX
fumecheng-751	90	9	given	give	VERB
fumecheng-751	90	10	by	by	ADP
fumecheng-751	90	11	the	the	DET
fumecheng-751	90	12	condition	condition	NOUN
fumecheng-751	90	13	f	f	X
fumecheng-751	90	14	(	(	PUNCT
fumecheng-751	90	15	c	c	NOUN
fumecheng-751	90	16	)	)	PUNCT
fumecheng-751	90	17	=	=	SYM
fumecheng-751	91	1	π	π	X
fumecheng-751	91	2	qcδx	qcδx	NOUN
fumecheng-751	91	3	/	/	SYM
fumecheng-751	91	4	2	2	NUM
fumecheng-751	91	5	,	,	PUNCT
fumecheng-751	91	6	hence	hence	ADV
fumecheng-751	91	7	*	*	NOUN
fumecheng-751	91	8	1	1	NUM
fumecheng-751	91	9	2	2	NUM
fumecheng-751	91	10	tan	tan	NOUN
fumecheng-751	91	11	cqc	cqc	PROPN
fumecheng-751	92	1	d	d	X
fumecheng-751	92	2	eθ	eθ	PROPN
fumecheng-751	92	3	π	π	PROPN
fumecheng-751	92	4	⎛	⎛	NOUN
fumecheng-751	92	5	⎞=	⎞=	PROPN
fumecheng-751	92	6	−⎜	−⎜	PROPN
fumecheng-751	92	7	⎟	⎟	X
fumecheng-751	92	8	⎝	⎝	X
fumecheng-751	92	9	⎠	⎠	X
fumecheng-751	92	10	,	,	PUNCT
fumecheng-751	92	11	*	*	PUNCT
fumecheng-751	92	12	tan	tan	PROPN
fumecheng-751	92	13	cqa	cqa	NOUN
fumecheng-751	93	1	c	c	PROPN
fumecheng-751	93	2	e	e	NOUN
fumecheng-751	93	3	θ	θ	NOUN
fumecheng-751	93	4	−	−	PROPN
fumecheng-751	93	5	=	=	SYM
fumecheng-751	93	6	(	(	PUNCT
fumecheng-751	93	7	21	21	NUM
fumecheng-751	93	8	)	)	PUNCT
fumecheng-751	93	9	the	the	DET
fumecheng-751	93	10	normal	normal	ADJ
fumecheng-751	93	11	force	force	NOUN
fumecheng-751	93	12	is	be	AUX
fumecheng-751	93	13	given	give	VERB
fumecheng-751	93	14	by	by	ADP
fumecheng-751	93	15	*	*	PROPN
fumecheng-751	93	16	22	22	NUM
fumecheng-751	93	17	(	(	PUNCT
fumecheng-751	93	18	)	)	PUNCT
fumecheng-751	93	19	d	d	NOUN
fumecheng-751	93	20	(	(	PUNCT
fumecheng-751	93	21	tan	tan	PROPN
fumecheng-751	93	22	a	a	DET
fumecheng-751	93	23	c	c	NOUN
fumecheng-751	93	24	n	n	NOUN
fumecheng-751	93	25	z	z	NOUN
fumecheng-751	93	26	c	c	NOUN
fumecheng-751	93	27	c	c	NOUN
fumecheng-751	93	28	c	c	NOUN
fumecheng-751	93	29	c	c	NOUN
fumecheng-751	93	30	c	c	NOUN
fumecheng-751	93	31	c	c	NOUN
fumecheng-751	93	32	q	q	NOUN
fumecheng-751	93	33	)	)	PUNCT
fumecheng-751	93	34	f	f	X
fumecheng-751	94	1	e	e	X
fumecheng-751	94	2	u	u	NOUN
fumecheng-751	94	3	x	x	X
fumecheng-751	94	4	x	x	PROPN
fumecheng-751	94	5	cq	cq	NOUN
fumecheng-751	95	1	f	f	PROPN
fumecheng-751	95	2	cq	cq	PROPN
fumecheng-751	96	1	f	f	PROPN
fumecheng-751	97	1	d	d	X
fumecheng-751	97	2	dπ	dπ	NOUN
fumecheng-751	98	1	π	π	X
fumecheng-751	98	2	θ	θ	PUNCT
fumecheng-751	98	3	=	=	PUNCT
fumecheng-751	99	1	+	+	PUNCT
fumecheng-751	99	2	=	=	SYM
fumecheng-751	100	1	+	+	CCONJ
fumecheng-751	100	2	=	=	SYM
fumecheng-751	100	3	+	+	NOUN
fumecheng-751	100	4	∫	∫	PROPN
fumecheng-751	100	5	−	−	PROPN
fumecheng-751	100	6	.	.	PUNCT
fumecheng-751	101	1	(	(	PUNCT
fumecheng-751	101	2	22	22	NUM
fumecheng-751	101	3	)	)	PUNCT
fumecheng-751	101	4	after	after	ADP
fumecheng-751	101	5	achieving	achieve	VERB
fumecheng-751	101	6	the	the	DET
fumecheng-751	101	7	critical	critical	ADJ
fumecheng-751	101	8	state	state	NOUN
fumecheng-751	101	9	,	,	PUNCT
fumecheng-751	101	10	the	the	DET
fumecheng-751	101	11	normal	normal	ADJ
fumecheng-751	101	12	force	force	NOUN
fumecheng-751	101	13	increases	increase	VERB
fumecheng-751	101	14	linearly	linearly	ADV
fumecheng-751	101	15	with	with	ADP
fumecheng-751	101	16	the	the	DET
fumecheng-751	101	17	indentation	indentation	NOUN
fumecheng-751	101	18	depth	depth	NOUN
fumecheng-751	101	19	.	.	PUNCT
fumecheng-751	102	1	we	we	PRON
fumecheng-751	102	2	do	do	AUX
fumecheng-751	102	3	not	not	PART
fumecheng-751	102	4	consider	consider	VERB
fumecheng-751	102	5	at	at	ADP
fumecheng-751	102	6	this	this	DET
fumecheng-751	102	7	point	point	NOUN
fumecheng-751	102	8	the	the	DET
fumecheng-751	102	9	complete	complete	ADJ
fumecheng-751	102	10	dynamic	dynamic	ADJ
fumecheng-751	102	11	problem	problem	NOUN
fumecheng-751	102	12	of	of	ADP
fumecheng-751	102	13	an	an	DET
fumecheng-751	102	14	impact	impact	NOUN
fumecheng-751	102	15	,	,	PUNCT
fumecheng-751	102	16	which	which	PRON
fumecheng-751	102	17	generally	generally	ADV
fumecheng-751	102	18	can	can	AUX
fumecheng-751	102	19	also	also	ADV
fumecheng-751	102	20	depend	depend	VERB
fumecheng-751	102	21	on	on	ADP
fumecheng-751	102	22	the	the	DET
fumecheng-751	102	23	structure	structure	NOUN
fumecheng-751	102	24	stiffness	stiffness	NOUN
fumecheng-751	102	25	.	.	PUNCT
fumecheng-751	103	1	we	we	PRON
fumecheng-751	103	2	limit	limit	VERB
fumecheng-751	103	3	ourselves	ourselves	PRON
fumecheng-751	103	4	to	to	ADP
fumecheng-751	103	5	the	the	DET
fumecheng-751	103	6	case	case	NOUN
fumecheng-751	103	7	of	of	ADP
fumecheng-751	103	8	a	a	DET
fumecheng-751	103	9	very	very	ADV
fumecheng-751	103	10	rapid	rapid	ADJ
fumecheng-751	103	11	impact	impact	NOUN
fumecheng-751	103	12	,	,	PUNCT
fumecheng-751	103	13	when	when	SCONJ
fumecheng-751	103	14	the	the	DET
fumecheng-751	103	15	indentation	indentation	NOUN
fumecheng-751	103	16	depth	depth	NOUN
fumecheng-751	103	17	is	be	AUX
fumecheng-751	103	18	much	much	ADV
fumecheng-751	103	19	larger	large	ADJ
fumecheng-751	103	20	than	than	ADP
fumecheng-751	103	21	the	the	DET
fumecheng-751	103	22	critical	critical	ADJ
fumecheng-751	103	23	one	one	NOUN
fumecheng-751	103	24	.	.	PUNCT
fumecheng-751	104	1	in	in	ADP
fumecheng-751	104	2	this	this	DET
fumecheng-751	104	3	case	case	NOUN
fumecheng-751	104	4	we	we	PRON
fumecheng-751	104	5	can	can	AUX
fumecheng-751	104	6	write	write	VERB
fumecheng-751	104	7	fn	fn	NOUN
fumecheng-751	105	1	≈	≈	PROPN
fumecheng-751	105	2	2qc	2qc	NOUN
fumecheng-751	105	3	d	d	X
fumecheng-751	105	4	/tanθ	/tanθ	PROPN
fumecheng-751	105	5	.	.	PUNCT
fumecheng-751	106	1	the	the	DET
fumecheng-751	106	2	work	work	NOUN
fumecheng-751	106	3	of	of	ADP
fumecheng-751	106	4	plastic	plastic	ADJ
fumecheng-751	106	5	deformation	deformation	NOUN
fumecheng-751	106	6	up	up	ADP
fumecheng-751	106	7	to	to	ADP
fumecheng-751	106	8	the	the	DET
fumecheng-751	106	9	maximum	maximum	ADJ
fumecheng-751	106	10	indentation	indentation	NOUN
fumecheng-751	106	11	will	will	AUX
fumecheng-751	106	12	be	be	AUX
fumecheng-751	106	13	max	max	PROPN
fumecheng-751	106	14	2	2	NUM
fumecheng-751	106	15	max	max	NOUN
fumecheng-751	106	16	0	0	NUM
fumecheng-751	106	17	2	2	NUM
fumecheng-751	106	18	d	d	PROPN
fumecheng-751	106	19	(	(	PUNCT
fumecheng-751	106	20	)	)	PUNCT
fumecheng-751	106	21	tan	tan	PROPN
fumecheng-751	106	22	tan	tan	PROPN
fumecheng-751	107	1	d	d	PROPN
fumecheng-751	107	2	c	c	PROPN
fumecheng-751	107	3	cq	cq	PROPN
fumecheng-751	108	1	qw	qw	INTJ
fumecheng-751	108	2	d	d	PROPN
fumecheng-751	108	3	d	d	PROPN
fumecheng-751	108	4	d	d	X
fumecheng-751	108	5	θ	θ	X
fumecheng-751	108	6	θ	θ	X
fumecheng-751	109	1	≈	≈	PROPN
fumecheng-751	109	2	=	=	NOUN
fumecheng-751	109	3	∫	∫	PROPN
fumecheng-751	109	4	.	.	PUNCT
fumecheng-751	110	1	(	(	PUNCT
fumecheng-751	110	2	23	23	X
fumecheng-751	110	3	)	)	PUNCT
fumecheng-751	110	4	analysis	analysis	NOUN
fumecheng-751	110	5	of	of	ADP
fumecheng-751	110	6	impact	impact	NOUN
fumecheng-751	110	7	on	on	ADP
fumecheng-751	110	8	composite	composite	ADJ
fumecheng-751	110	9	structures	structure	NOUN
fumecheng-751	110	10	with	with	ADP
fumecheng-751	110	11	the	the	DET
fumecheng-751	110	12	method	method	NOUN
fumecheng-751	110	13	of	of	ADP
fumecheng-751	110	14	dimensionality	dimensionality	NOUN
fumecheng-751	110	15	reduction	reduction	NOUN
fumecheng-751	110	16	45	45	NUM
fumecheng-751	110	17	the	the	DET
fumecheng-751	110	18	area	area	NOUN
fumecheng-751	110	19	of	of	ADP
fumecheng-751	110	20	contact	contact	NOUN
fumecheng-751	110	21	will	will	AUX
fumecheng-751	110	22	be	be	AUX
fumecheng-751	110	23	equal	equal	ADJ
fumecheng-751	110	24	to	to	ADP
fumecheng-751	110	25	2	2	NUM
fumecheng-751	110	26	2	2	NUM
fumecheng-751	110	27	max	max	PROPN
fumecheng-751	110	28	max	max	PROPN
fumecheng-751	110	29	max2	max2	PROPN
fumecheng-751	110	30	4	4	NUM
fumecheng-751	110	31	tan	tan	PROPN
fumecheng-751	110	32	a	a	PRON
fumecheng-751	110	33	a	a	DET
fumecheng-751	110	34	dπ	dπ	NOUN
fumecheng-751	110	35	π	π	NOUN
fumecheng-751	110	36	θ	θ	PUNCT
fumecheng-751	110	37	=	=	PUNCT
fumecheng-751	111	1	=	=	X
fumecheng-751	111	2	.	.	PUNCT
fumecheng-751	112	1	thus	thus	ADV
fumecheng-751	112	2	,	,	PUNCT
fumecheng-751	112	3	the	the	DET
fumecheng-751	112	4	damaged	damage	VERB
fumecheng-751	112	5	area	area	NOUN
fumecheng-751	112	6	will	will	AUX
fumecheng-751	112	7	be	be	AUX
fumecheng-751	112	8	proportional	proportional	ADJ
fumecheng-751	112	9	to	to	ADP
fumecheng-751	112	10	the	the	DET
fumecheng-751	112	11	impact	impact	NOUN
fumecheng-751	112	12	energy	energy	NOUN
fumecheng-751	112	13	:	:	PUNCT
fumecheng-751	112	14	max	max	PROPN
fumecheng-751	112	15	4	4	NUM
fumecheng-751	112	16	tanc	tanc	NOUN
fumecheng-751	112	17	a	a	DET
fumecheng-751	112	18	w	w	NOUN
fumecheng-751	112	19	q	q	X
fumecheng-751	112	20	≈	≈	PROPN
fumecheng-751	112	21	π	π	PROPN
fumecheng-751	112	22	θ	θ	PROPN
fumecheng-751	112	23	.	.	PUNCT
fumecheng-751	113	1	(	(	PUNCT
fumecheng-751	113	2	24	24	NUM
fumecheng-751	113	3	)	)	PUNCT
fumecheng-751	113	4	this	this	PRON
fumecheng-751	113	5	differs	differ	VERB
fumecheng-751	113	6	from	from	ADP
fumecheng-751	113	7	the	the	DET
fumecheng-751	113	8	result	result	NOUN
fumecheng-751	113	9	for	for	ADP
fumecheng-751	113	10	the	the	DET
fumecheng-751	113	11	media	medium	NOUN
fumecheng-751	113	12	with	with	ADP
fumecheng-751	113	13	the	the	DET
fumecheng-751	113	14	local	local	ADJ
fumecheng-751	113	15	plastic	plastic	NOUN
fumecheng-751	113	16	criterion	criterion	NOUN
fumecheng-751	113	17	,	,	PUNCT
fumecheng-751	113	18	where	where	SCONJ
fumecheng-751	113	19	the	the	DET
fumecheng-751	113	20	impact	impact	NOUN
fumecheng-751	113	21	energy	energy	NOUN
fumecheng-751	113	22	is	be	AUX
fumecheng-751	113	23	proportional	proportional	ADJ
fumecheng-751	113	24	to	to	ADP
fumecheng-751	113	25	the	the	DET
fumecheng-751	113	26	expelled	expel	VERB
fumecheng-751	113	27	volume	volume	NOUN
fumecheng-751	113	28	[	[	X
fumecheng-751	113	29	18	18	NUM
fumecheng-751	113	30	,	,	PUNCT
fumecheng-751	113	31	19	19	NUM
fumecheng-751	113	32	]	]	PUNCT
fumecheng-751	113	33	.	.	PUNCT
fumecheng-751	114	1	5	5	X
fumecheng-751	114	2	.	.	X
fumecheng-751	114	3	conclusion	conclusion	NOUN
fumecheng-751	114	4	in	in	ADP
fumecheng-751	114	5	the	the	DET
fumecheng-751	114	6	present	present	ADJ
fumecheng-751	114	7	paper	paper	NOUN
fumecheng-751	114	8	,	,	PUNCT
fumecheng-751	114	9	we	we	PRON
fumecheng-751	114	10	considered	consider	VERB
fumecheng-751	114	11	an	an	DET
fumecheng-751	114	12	indentation	indentation	NOUN
fumecheng-751	114	13	of	of	ADP
fumecheng-751	114	14	a	a	DET
fumecheng-751	114	15	rigid	rigid	ADJ
fumecheng-751	114	16	profile	profile	NOUN
fumecheng-751	114	17	into	into	ADP
fumecheng-751	114	18	an	an	DET
fumecheng-751	114	19	elastoplastic	elastoplastic	ADJ
fumecheng-751	114	20	medium	medium	NOUN
fumecheng-751	114	21	with	with	ADP
fumecheng-751	114	22	a	a	DET
fumecheng-751	114	23	non	non	ADJ
fumecheng-751	114	24	-	-	ADJ
fumecheng-751	114	25	local	local	ADJ
fumecheng-751	114	26	yield	yield	NOUN
fumecheng-751	114	27	criterion	criterion	NOUN
fumecheng-751	114	28	.	.	PUNCT
fumecheng-751	115	1	we	we	PRON
fumecheng-751	115	2	considered	consider	VERB
fumecheng-751	115	3	only	only	ADV
fumecheng-751	115	4	the	the	DET
fumecheng-751	115	5	case	case	NOUN
fumecheng-751	115	6	where	where	SCONJ
fumecheng-751	115	7	the	the	DET
fumecheng-751	115	8	non	non	ADJ
fumecheng-751	115	9	-	-	ADJ
fumecheng-751	115	10	locality	locality	ADJ
fumecheng-751	115	11	leads	lead	VERB
fumecheng-751	115	12	to	to	ADP
fumecheng-751	115	13	the	the	DET
fumecheng-751	115	14	inverse	inverse	ADJ
fumecheng-751	115	15	proportionality	proportionality	NOUN
fumecheng-751	115	16	of	of	ADP
fumecheng-751	115	17	the	the	DET
fumecheng-751	115	18	indentation	indentation	NOUN
fumecheng-751	115	19	hardness	hardness	ADJ
fumecheng-751	115	20	to	to	ADP
fumecheng-751	115	21	the	the	DET
fumecheng-751	115	22	indentation	indentation	NOUN
fumecheng-751	115	23	radius	radius	NOUN
fumecheng-751	115	24	.	.	PUNCT
fumecheng-751	116	1	for	for	ADP
fumecheng-751	116	2	such	such	ADJ
fumecheng-751	116	3	media	medium	NOUN
fumecheng-751	116	4	,	,	PUNCT
fumecheng-751	116	5	we	we	PRON
fumecheng-751	116	6	have	have	AUX
fumecheng-751	116	7	suggested	suggest	VERB
fumecheng-751	116	8	a	a	DET
fumecheng-751	116	9	generalization	generalization	NOUN
fumecheng-751	116	10	of	of	ADP
fumecheng-751	116	11	the	the	DET
fumecheng-751	116	12	method	method	NOUN
fumecheng-751	116	13	of	of	ADP
fumecheng-751	116	14	dimensionality	dimensionality	NOUN
fumecheng-751	116	15	reduction	reduction	NOUN
fumecheng-751	116	16	and	and	CCONJ
fumecheng-751	116	17	analyzed	analyze	VERB
fumecheng-751	116	18	the	the	DET
fumecheng-751	116	19	case	case	NOUN
fumecheng-751	116	20	of	of	ADP
fumecheng-751	116	21	indentation	indentation	NOUN
fumecheng-751	116	22	of	of	ADP
fumecheng-751	116	23	a	a	DET
fumecheng-751	116	24	rigid	rigid	ADJ
fumecheng-751	116	25	conical	conical	NOUN
fumecheng-751	116	26	indenter	indenter	NOUN
fumecheng-751	116	27	.	.	PUNCT
fumecheng-751	117	1	as	as	SCONJ
fumecheng-751	117	2	the	the	DET
fumecheng-751	117	3	method	method	NOUN
fumecheng-751	117	4	of	of	ADP
fumecheng-751	117	5	dimensionality	dimensionality	NOUN
fumecheng-751	117	6	reduction	reduction	NOUN
fumecheng-751	117	7	is	be	AUX
fumecheng-751	117	8	also	also	ADV
fumecheng-751	117	9	valid	valid	ADJ
fumecheng-751	117	10	for	for	ADP
fumecheng-751	117	11	tangential	tangential	ADJ
fumecheng-751	117	12	contacts	contact	NOUN
fumecheng-751	117	13	[	[	X
fumecheng-751	117	14	23	23	NUM
fumecheng-751	117	15	]	]	PUNCT
fumecheng-751	117	16	,	,	PUNCT
fumecheng-751	117	17	the	the	DET
fumecheng-751	117	18	proposed	propose	VERB
fumecheng-751	117	19	method	method	NOUN
fumecheng-751	117	20	can	can	AUX
fumecheng-751	117	21	be	be	AUX
fumecheng-751	117	22	easily	easily	ADV
fumecheng-751	117	23	generalized	generalize	VERB
fumecheng-751	117	24	for	for	ADP
fumecheng-751	117	25	the	the	DET
fumecheng-751	117	26	case	case	NOUN
fumecheng-751	117	27	of	of	ADP
fumecheng-751	117	28	impacts	impact	NOUN
fumecheng-751	117	29	with	with	ADP
fumecheng-751	117	30	a	a	DET
fumecheng-751	117	31	tangential	tangential	ADJ
fumecheng-751	117	32	component	component	NOUN
fumecheng-751	117	33	of	of	ADP
fumecheng-751	117	34	impact	impact	NOUN
fumecheng-751	117	35	velocity	velocity	NOUN
fumecheng-751	117	36	.	.	PUNCT
fumecheng-751	118	1	acknowledgements	acknowledgement	NOUN
fumecheng-751	118	2	:	:	PUNCT
fumecheng-751	118	3	many	many	ADJ
fumecheng-751	118	4	valuable	valuable	ADJ
fumecheng-751	118	5	discussions	discussion	NOUN
fumecheng-751	118	6	with	with	ADP
fumecheng-751	118	7	s.	s.	PROPN
fumecheng-751	118	8	psakhie	psakhie	PROPN
fumecheng-751	118	9	,	,	PUNCT
fumecheng-751	118	10	m.	m.	PROPN
fumecheng-751	118	11	ciavarela	ciavarela	PROPN
fumecheng-751	118	12	,	,	PUNCT
fumecheng-751	118	13	s.	s.	PROPN
fumecheng-751	118	14	dubinsky	dubinsky	PROPN
fumecheng-751	118	15	and	and	CCONJ
fumecheng-751	118	16	a.	a.	NOUN
fumecheng-751	118	17	ushakov	ushakov	PROPN
fumecheng-751	118	18	are	be	AUX
fumecheng-751	118	19	gratefully	gratefully	ADV
fumecheng-751	118	20	acknowledged	acknowledge	VERB
fumecheng-751	118	21	.	.	PUNCT
fumecheng-751	119	1	this	this	DET
fumecheng-751	119	2	work	work	NOUN
fumecheng-751	119	3	is	be	AUX
fumecheng-751	119	4	supported	support	VERB
fumecheng-751	119	5	in	in	ADP
fumecheng-751	119	6	part	part	NOUN
fumecheng-751	119	7	by	by	ADP
fumecheng-751	119	8	tomsk	tomsk	PROPN
fumecheng-751	119	9	state	state	PROPN
fumecheng-751	119	10	university	university	PROPN
fumecheng-751	119	11	academic	academic	PROPN
fumecheng-751	119	12	d.i	d.i	PROPN
fumecheng-751	119	13	.	.	PROPN
fumecheng-751	119	14	mendeleev	mendeleev	PROPN
fumecheng-751	119	15	fund	fund	PROPN
fumecheng-751	119	16	program	program	PROPN
fumecheng-751	119	17	.	.	PUNCT
fumecheng-751	120	1	references	reference	NOUN
fumecheng-751	120	2	1	1	NUM
fumecheng-751	120	3	.	.	PUNCT
fumecheng-751	121	1	popov	popov	PROPN
fumecheng-751	121	2	l.	l.	PROPN
fumecheng-751	121	3	e.	e.	PROPN
fumecheng-751	121	4	,	,	PUNCT
fumecheng-751	121	5	kobytev	kobytev	PROPN
fumecheng-751	121	6	v.	v.	PROPN
fumecheng-751	121	7	s.	s.	PROPN
fumecheng-751	121	8	,	,	PUNCT
fumecheng-751	121	9	kovalevskaya	kovalevskaya	PROPN
fumecheng-751	121	10	t.	t.	PROPN
fumecheng-751	121	11	a.	a.	PROPN
fumecheng-751	121	12	,	,	PUNCT
fumecheng-751	121	13	1982	1982	NUM
fumecheng-751	121	14	,	,	PUNCT
fumecheng-751	121	15	concepts	concept	NOUN
fumecheng-751	121	16	of	of	ADP
fumecheng-751	121	17	strengthening	strengthen	VERB
fumecheng-751	121	18	and	and	CCONJ
fumecheng-751	121	19	dynamic	dynamic	ADJ
fumecheng-751	121	20	recovery	recovery	NOUN
fumecheng-751	121	21	in	in	ADP
fumecheng-751	121	22	the	the	DET
fumecheng-751	121	23	theory	theory	NOUN
fumecheng-751	121	24	of	of	ADP
fumecheng-751	121	25	plastic	plastic	ADJ
fumecheng-751	121	26	deformation	deformation	NOUN
fumecheng-751	121	27	,	,	PUNCT
fumecheng-751	121	28	russian	russian	ADJ
fumecheng-751	121	29	physics	physics	NOUN
fumecheng-751	121	30	journal	journal	PROPN
fumecheng-751	121	31	,	,	PUNCT
fumecheng-751	121	32	25	25	NUM
fumecheng-751	121	33	,	,	PUNCT
fumecheng-751	121	34	pp	pp	ADJ
fumecheng-751	121	35	.	.	PUNCT
fumecheng-751	122	1	520	520	NUM
fumecheng-751	122	2	-	-	SYM
fumecheng-751	122	3	541	541	NUM
fumecheng-751	122	4	.	.	PUNCT
fumecheng-751	123	1	2	2	X
fumecheng-751	123	2	.	.	X
fumecheng-751	123	3	popov	popov	PROPN
fumecheng-751	123	4	l.	l.	PROPN
fumecheng-751	123	5	e.	e.	PROPN
fumecheng-751	123	6	,	,	PUNCT
fumecheng-751	123	7	slobodskoi	slobodskoi	PROPN
fumecheng-751	123	8	m.	m.	PROPN
fumecheng-751	123	9	i.	i.	PROPN
fumecheng-751	123	10	,	,	PUNCT
fumecheng-751	123	11	kolupaeva	kolupaeva	PROPN
fumecheng-751	123	12	s.	s.	PROPN
fumecheng-751	123	13	n.	n.	PROPN
fumecheng-751	123	14	,	,	PUNCT
fumecheng-751	123	15	2005	2005	NUM
fumecheng-751	123	16	,	,	PUNCT
fumecheng-751	123	17	simulation	simulation	NOUN
fumecheng-751	123	18	of	of	ADP
fumecheng-751	123	19	single	single	ADJ
fumecheng-751	123	20	slip	slip	NOUN
fumecheng-751	123	21	in	in	ADP
fumecheng-751	123	22	fcc	fcc	PROPN
fumecheng-751	123	23	metals	metal	NOUN
fumecheng-751	123	24	,	,	PUNCT
fumecheng-751	123	25	russian	russian	ADJ
fumecheng-751	123	26	physics	physics	NOUN
fumecheng-751	123	27	journal	journal	PROPN
fumecheng-751	123	28	,	,	PUNCT
fumecheng-751	123	29	49	49	NUM
fumecheng-751	123	30	,	,	PUNCT
fumecheng-751	123	31	pp	pp	ADJ
fumecheng-751	123	32	.	.	PUNCT
fumecheng-751	124	1	62	62	NUM
fumecheng-751	124	2	-	-	SYM
fumecheng-751	124	3	73	73	NUM
fumecheng-751	124	4	.	.	PUNCT
fumecheng-751	125	1	3	3	X
fumecheng-751	125	2	.	.	X
fumecheng-751	125	3	l.	l.	PROPN
fumecheng-751	125	4	e.	e.	PROPN
fumecheng-751	125	5	popov	popov	PROPN
fumecheng-751	125	6	,	,	PUNCT
fumecheng-751	125	7	kolupaeva	kolupaeva	PROPN
fumecheng-751	125	8	s.n	s.n	PROPN
fumecheng-751	125	9	.	.	PROPN
fumecheng-751	125	10	,	,	PUNCT
fumecheng-751	125	11	vihor	vihor	PROPN
fumecheng-751	126	1	n.a	n.a	PROPN
fumecheng-751	126	2	.	.	PROPN
fumecheng-751	126	3	,	,	PUNCT
fumecheng-751	126	4	puspesheva	puspesheva	PROPN
fumecheng-751	126	5	s.i	s.i	PROPN
fumecheng-751	126	6	.	.	PROPN
fumecheng-751	126	7	,	,	PUNCT
fumecheng-751	126	8	2000	2000	NUM
fumecheng-751	126	9	,	,	PUNCT
fumecheng-751	126	10	dislocation	dislocation	NOUN
fumecheng-751	126	11	dynamics	dynamic	NOUN
fumecheng-751	126	12	of	of	ADP
fumecheng-751	126	13	elementary	elementary	ADJ
fumecheng-751	126	14	crystallographic	crystallographic	ADJ
fumecheng-751	126	15	shear	shear	NOUN
fumecheng-751	126	16	,	,	PUNCT
fumecheng-751	126	17	computational	computational	ADJ
fumecheng-751	126	18	materials	material	NOUN
fumecheng-751	126	19	science	science	NOUN
fumecheng-751	126	20	,	,	PUNCT
fumecheng-751	126	21	19(1	19(1	NUM
fumecheng-751	126	22	)	)	PUNCT
fumecheng-751	126	23	,	,	PUNCT
fumecheng-751	126	24	pp	pp	ADP
fumecheng-751	126	25	.	.	PUNCT
fumecheng-751	127	1	267	267	NUM
fumecheng-751	127	2	-	-	SYM
fumecheng-751	127	3	274	274	NUM
fumecheng-751	127	4	.	.	NOUN
fumecheng-751	128	1	4	4	NUM
fumecheng-751	128	2	.	.	X
fumecheng-751	129	1	griffith	griffith	PROPN
fumecheng-751	129	2	a.a	a.a	PROPN
fumecheng-751	129	3	.	.	PROPN
fumecheng-751	129	4	,	,	PUNCT
fumecheng-751	129	5	1921	1921	NUM
fumecheng-751	129	6	,	,	PUNCT
fumecheng-751	129	7	the	the	DET
fumecheng-751	129	8	phenomena	phenomenon	NOUN
fumecheng-751	129	9	of	of	ADP
fumecheng-751	129	10	rupture	rupture	NOUN
fumecheng-751	129	11	and	and	CCONJ
fumecheng-751	129	12	flow	flow	NOUN
fumecheng-751	129	13	in	in	ADP
fumecheng-751	129	14	solids	solid	NOUN
fumecheng-751	129	15	,	,	PUNCT
fumecheng-751	129	16	philos	philos	PROPN
fumecheng-751	129	17	.	.	PUNCT
fumecheng-751	130	1	trans	trans	PROPN
fumecheng-751	130	2	.	.	PUNCT
fumecheng-751	130	3	r.	r.	PROPN
fumecheng-751	130	4	soc	soc	PROPN
fumecheng-751	130	5	.	.	PUNCT
fumecheng-751	131	1	lond	lond	PROPN
fumecheng-751	131	2	.	.	PUNCT
fumecheng-751	132	1	ser	ser	PROPN
fumecheng-751	132	2	.	.	PUNCT
fumecheng-751	133	1	a	a	DET
fumecheng-751	133	2	,	,	PUNCT
fumecheng-751	133	3	221	221	NUM
fumecheng-751	133	4	,	,	PUNCT
fumecheng-751	133	5	pp.163–198	pp.163–198	NOUN
fumecheng-751	133	6	.	.	PUNCT
fumecheng-751	134	1	5	5	NUM
fumecheng-751	134	2	.	.	X
fumecheng-751	134	3	prandtl	prandtl	PROPN
fumecheng-751	134	4	l.	l.	PROPN
fumecheng-751	134	5	,	,	PUNCT
fumecheng-751	134	6	1933	1933	NUM
fumecheng-751	134	7	,	,	PUNCT
fumecheng-751	134	8	ein	ein	PROPN
fumecheng-751	134	9	gedankenmodell	gedankenmodell	PROPN
fumecheng-751	134	10	für	für	PROPN
fumecheng-751	134	11	den	den	PROPN
fumecheng-751	134	12	zerreißvorgang	zerreißvorgang	PROPN
fumecheng-751	134	13	spröder	spröder	PROPN
fumecheng-751	134	14	körper	körper	PROPN
fumecheng-751	134	15	,	,	PUNCT
fumecheng-751	134	16	zamm	zamm	PROPN
fumecheng-751	134	17	,	,	PUNCT
fumecheng-751	135	1	j.	j.	PROPN
fumecheng-751	135	2	appl	appl	PROPN
fumecheng-751	135	3	.	.	PROPN
fumecheng-751	135	4	math	math	PROPN
fumecheng-751	135	5	.	.	PUNCT
fumecheng-751	136	1	mech	mech	PROPN
fumecheng-751	136	2	.	.	PROPN
fumecheng-751	136	3	,	,	PUNCT
fumecheng-751	136	4	13	13	NUM
fumecheng-751	136	5	,	,	PUNCT
fumecheng-751	136	6	pp	pp	ADJ
fumecheng-751	136	7	.	.	PUNCT
fumecheng-751	137	1	129–133	129–133	NUM
fumecheng-751	137	2	.	.	PUNCT
fumecheng-751	138	1	6	6	NUM
fumecheng-751	138	2	.	.	X
fumecheng-751	139	1	rice	rice	PROPN
fumecheng-751	139	2	j.r	j.r	PROPN
fumecheng-751	139	3	.	.	PROPN
fumecheng-751	139	4	,	,	PUNCT
fumecheng-751	139	5	1968	1968	NUM
fumecheng-751	139	6	,	,	PUNCT
fumecheng-751	139	7	a	a	DET
fumecheng-751	139	8	path	path	NOUN
fumecheng-751	139	9	independent	independent	ADJ
fumecheng-751	139	10	integral	integral	ADJ
fumecheng-751	139	11	and	and	CCONJ
fumecheng-751	139	12	the	the	DET
fumecheng-751	139	13	approximate	approximate	ADJ
fumecheng-751	139	14	analysis	analysis	NOUN
fumecheng-751	139	15	of	of	ADP
fumecheng-751	139	16	strain	strain	ADJ
fumecheng-751	139	17	concentration	concentration	NOUN
fumecheng-751	139	18	by	by	ADP
fumecheng-751	139	19	notches	notch	NOUN
fumecheng-751	139	20	and	and	CCONJ
fumecheng-751	139	21	cracks	crack	NOUN
fumecheng-751	139	22	,	,	PUNCT
fumecheng-751	139	23	journal	journal	NOUN
fumecheng-751	139	24	of	of	ADP
fumecheng-751	139	25	applied	apply	VERB
fumecheng-751	139	26	mechanics	mechanic	NOUN
fumecheng-751	139	27	,	,	PUNCT
fumecheng-751	139	28	35	35	NUM
fumecheng-751	139	29	,	,	PUNCT
fumecheng-751	139	30	pp	pp	ADJ
fumecheng-751	139	31	.	.	PUNCT
fumecheng-751	140	1	379–386	379–386	NUM
fumecheng-751	140	2	.	.	PUNCT
fumecheng-751	141	1	7	7	X
fumecheng-751	141	2	.	.	X
fumecheng-751	141	3	aifantis	aifantis	PROPN
fumecheng-751	141	4	e.c	e.c	PROPN
fumecheng-751	141	5	.	.	PROPN
fumecheng-751	141	6	,	,	PUNCT
fumecheng-751	141	7	1999	1999	NUM
fumecheng-751	141	8	,	,	PUNCT
fumecheng-751	141	9	strain	strain	VERB
fumecheng-751	141	10	gradient	gradient	ADJ
fumecheng-751	141	11	interpretation	interpretation	NOUN
fumecheng-751	141	12	of	of	ADP
fumecheng-751	141	13	size	size	NOUN
fumecheng-751	141	14	effects	effect	NOUN
fumecheng-751	141	15	,	,	PUNCT
fumecheng-751	141	16	int	int	NOUN
fumecheng-751	141	17	.	.	PUNCT
fumecheng-751	142	1	j.	j.	PROPN
fumecheng-751	142	2	fracture	fracture	PROPN
fumecheng-751	142	3	,	,	PUNCT
fumecheng-751	142	4	95	95	NUM
fumecheng-751	142	5	,	,	PUNCT
fumecheng-751	142	6	pp	pp	ADJ
fumecheng-751	142	7	.	.	PUNCT
fumecheng-751	143	1	299–314	299–314	NUM
fumecheng-751	143	2	.	.	PUNCT
fumecheng-751	144	1	8	8	X
fumecheng-751	144	2	.	.	PUNCT
fumecheng-751	145	1	nix	nix	PROPN
fumecheng-751	145	2	w.d	w.d	PROPN
fumecheng-751	146	1	.	.	PROPN
fumecheng-751	146	2	,	,	PUNCT
fumecheng-751	146	3	gao	gao	PROPN
fumecheng-751	146	4	h.	h.	PROPN
fumecheng-751	146	5	,	,	PUNCT
fumecheng-751	146	6	1998	1998	NUM
fumecheng-751	146	7	,	,	PUNCT
fumecheng-751	146	8	indentation	indentation	NOUN
fumecheng-751	146	9	size	size	NOUN
fumecheng-751	146	10	effects	effect	NOUN
fumecheng-751	146	11	in	in	ADP
fumecheng-751	146	12	crystalline	crystalline	ADJ
fumecheng-751	146	13	materials	material	NOUN
fumecheng-751	146	14	:	:	PUNCT
fumecheng-751	146	15	a	a	DET
fumecheng-751	146	16	law	law	NOUN
fumecheng-751	146	17	for	for	ADP
fumecheng-751	146	18	strain	strain	NOUN
fumecheng-751	146	19	gradient	gradient	NOUN
fumecheng-751	146	20	plasticity	plasticity	NOUN
fumecheng-751	146	21	,	,	PUNCT
fumecheng-751	146	22	journal	journal	NOUN
fumecheng-751	146	23	of	of	ADP
fumecheng-751	146	24	the	the	DET
fumecheng-751	146	25	mechanics	mechanic	NOUN
fumecheng-751	146	26	and	and	CCONJ
fumecheng-751	146	27	physics	physic	NOUN
fumecheng-751	146	28	of	of	ADP
fumecheng-751	146	29	solids	solid	NOUN
fumecheng-751	146	30	,	,	PUNCT
fumecheng-751	146	31	46(3	46(3	NOUN
fumecheng-751	146	32	)	)	PUNCT
fumecheng-751	146	33	,	,	PUNCT
fumecheng-751	146	34	pp	pp	ADP
fumecheng-751	146	35	.	.	PUNCT
fumecheng-751	147	1	411	411	NUM
fumecheng-751	147	2	-	-	SYM
fumecheng-751	147	3	425	425	NUM
fumecheng-751	147	4	.	.	NOUN
fumecheng-751	148	1	9	9	NUM
fumecheng-751	148	2	.	.	PUNCT
fumecheng-751	148	3	gao	gao	PROPN
fumecheng-751	148	4	h.	h.	PROPN
fumecheng-751	148	5	,	,	PUNCT
fumecheng-751	148	6	huang	huang	PROPN
fumecheng-751	148	7	y.	y.	PROPN
fumecheng-751	148	8	,	,	PUNCT
fumecheng-751	148	9	nix	nix	PROPN
fumecheng-751	148	10	w.d	w.d	PROPN
fumecheng-751	148	11	.	.	PROPN
fumecheng-751	148	12	,	,	PUNCT
fumecheng-751	148	13	hutchinson	hutchinson	PROPN
fumecheng-751	148	14	j.w	j.w	PROPN
fumecheng-751	148	15	.	.	PROPN
fumecheng-751	148	16	,	,	PUNCT
fumecheng-751	148	17	1999	1999	NUM
fumecheng-751	148	18	,	,	PUNCT
fumecheng-751	148	19	mechanism	mechanism	NOUN
fumecheng-751	148	20	-	-	PUNCT
fumecheng-751	148	21	based	base	VERB
fumecheng-751	148	22	strain	strain	NOUN
fumecheng-751	148	23	gradient	gradient	NOUN
fumecheng-751	148	24	plasticity	plasticity	NOUN
fumecheng-751	148	25	—	—	PUNCT
fumecheng-751	148	26	i.	i.	NOUN
fumecheng-751	148	27	theory	theory	NOUN
fumecheng-751	148	28	,	,	PUNCT
fumecheng-751	148	29	journal	journal	NOUN
fumecheng-751	148	30	of	of	ADP
fumecheng-751	148	31	the	the	DET
fumecheng-751	148	32	mechanics	mechanic	NOUN
fumecheng-751	148	33	and	and	CCONJ
fumecheng-751	148	34	physics	physic	NOUN
fumecheng-751	148	35	of	of	ADP
fumecheng-751	148	36	solids	solid	NOUN
fumecheng-751	148	37	,	,	PUNCT
fumecheng-751	148	38	47(6	47(6	NUM
fumecheng-751	148	39	)	)	PUNCT
fumecheng-751	148	40	,	,	PUNCT
fumecheng-751	148	41	pp.239	pp.239	PROPN
fumecheng-751	148	42	-	-	PUNCT
fumecheng-751	148	43	1263	1263	NUM
fumecheng-751	148	44	.	.	PUNCT
fumecheng-751	149	1	10	10	NUM
fumecheng-751	149	2	.	.	PUNCT
fumecheng-751	150	1	popov	popov	PROPN
fumecheng-751	150	2	v.l	v.l	PROPN
fumecheng-751	150	3	.	.	PROPN
fumecheng-751	150	4	,	,	PUNCT
fumecheng-751	150	5	1992	1992	NUM
fumecheng-751	150	6	,	,	PUNCT
fumecheng-751	150	7	gauge	gauge	NOUN
fumecheng-751	150	8	theory	theory	NOUN
fumecheng-751	150	9	of	of	ADP
fumecheng-751	150	10	plastically	plastically	NOUN
fumecheng-751	150	11	incompressible	incompressible	ADJ
fumecheng-751	150	12	medium	medium	NOUN
fumecheng-751	150	13	without	without	ADP
fumecheng-751	150	14	dissipation	dissipation	NOUN
fumecheng-751	150	15	.	.	PUNCT
fumecheng-751	151	1	1	1	X
fumecheng-751	151	2	.	.	X
fumecheng-751	151	3	dispersion	dispersion	NOUN
fumecheng-751	151	4	relations	relation	NOUN
fumecheng-751	151	5	and	and	CCONJ
fumecheng-751	151	6	propagation	propagation	NOUN
fumecheng-751	151	7	of	of	ADP
fumecheng-751	151	8	perturbations	perturbation	NOUN
fumecheng-751	151	9	without	without	ADP
fumecheng-751	151	10	dissipation	dissipation	NOUN
fumecheng-751	151	11	,	,	PUNCT
fumecheng-751	151	12	international	international	ADJ
fumecheng-751	151	13	journal	journal	NOUN
fumecheng-751	151	14	of	of	ADP
fumecheng-751	151	15	engineering	engineering	NOUN
fumecheng-751	151	16	science	science	NOUN
fumecheng-751	151	17	,	,	PUNCT
fumecheng-751	151	18	30	30	NUM
fumecheng-751	151	19	,	,	PUNCT
fumecheng-751	151	20	pp	pp	ADJ
fumecheng-751	151	21	.	.	PUNCT
fumecheng-751	151	22	329	329	NUM
fumecheng-751	151	23	-	-	SYM
fumecheng-751	151	24	334	334	NUM
fumecheng-751	151	25	.	.	PUNCT
fumecheng-751	152	1	11	11	NUM
fumecheng-751	152	2	.	.	X
fumecheng-751	152	3	wrucke	wrucke	PROPN
fumecheng-751	153	1	a.j	a.j	PROPN
fumecheng-751	153	2	.	.	PROPN
fumecheng-751	153	3	,	,	PUNCT
fumecheng-751	153	4	han	han	PROPN
fumecheng-751	153	5	c.-s	c.-s	PROPN
fumecheng-751	153	6	.	.	PUNCT
fumecheng-751	153	7	,	,	PUNCT
fumecheng-751	153	8	majumdar	majumdar	PROPN
fumecheng-751	153	9	p.	p.	PROPN
fumecheng-751	153	10	,	,	PUNCT
fumecheng-751	153	11	2013	2013	NUM
fumecheng-751	153	12	,	,	PUNCT
fumecheng-751	153	13	indentation	indentation	NOUN
fumecheng-751	153	14	size	size	NOUN
fumecheng-751	153	15	effects	effect	NOUN
fumecheng-751	153	16	of	of	ADP
fumecheng-751	153	17	multiple	multiple	ADJ
fumecheng-751	153	18	orders	order	NOUN
fumecheng-751	153	19	of	of	ADP
fumecheng-751	153	20	magnitude	magnitude	NOUN
fumecheng-751	153	21	in	in	ADP
fumecheng-751	153	22	polydimethylsiloxane	polydimethylsiloxane	NOUN
fumecheng-751	153	23	,	,	PUNCT
fumecheng-751	153	24	j.	j.	PROPN
fumecheng-751	153	25	appl	appl	PROPN
fumecheng-751	153	26	.	.	PUNCT
fumecheng-751	154	1	polym	polym	PROPN
fumecheng-751	154	2	.	.	PUNCT
fumecheng-751	155	1	sci	sci	PROPN
fumecheng-751	155	2	.	.	PROPN
fumecheng-751	155	3	,	,	PUNCT
fumecheng-751	155	4	128	128	NUM
fumecheng-751	155	5	,	,	PUNCT
fumecheng-751	155	6	pp	pp	ADJ
fumecheng-751	155	7	.	.	PUNCT
fumecheng-751	156	1	258–264	258–264	NUM
fumecheng-751	156	2	.	.	PUNCT
fumecheng-751	157	1	46	46	NUM
fumecheng-751	157	2	v.l	v.l	PROPN
fumecheng-751	157	3	.	.	PROPN
fumecheng-751	157	4	popov	popov	PROPN
fumecheng-751	157	5	12	12	NUM
fumecheng-751	157	6	.	.	PUNCT
fumecheng-751	158	1	budakian	budakian	PROPN
fumecheng-751	158	2	r.	r.	PROPN
fumecheng-751	158	3	,	,	PUNCT
fumecheng-751	158	4	putterman	putterman	NOUN
fumecheng-751	158	5	s.j	s.j	PROPN
fumecheng-751	158	6	.	.	PROPN
fumecheng-751	158	7	,	,	PUNCT
fumecheng-751	158	8	2002	2002	NUM
fumecheng-751	158	9	,	,	PUNCT
fumecheng-751	158	10	time	time	NOUN
fumecheng-751	158	11	scales	scale	VERB
fumecheng-751	158	12	for	for	ADP
fumecheng-751	158	13	cold	cold	ADJ
fumecheng-751	158	14	welding	welding	NOUN
fumecheng-751	158	15	and	and	CCONJ
fumecheng-751	158	16	the	the	DET
fumecheng-751	158	17	origins	origin	NOUN
fumecheng-751	158	18	of	of	ADP
fumecheng-751	158	19	stick	stick	NOUN
fumecheng-751	158	20	-	-	PUNCT
fumecheng-751	158	21	slip	slip	NOUN
fumecheng-751	158	22	friction	friction	NOUN
fumecheng-751	158	23	,	,	PUNCT
fumecheng-751	158	24	phys	phy	NOUN
fumecheng-751	158	25	.	.	PUNCT
fumecheng-751	159	1	rev	rev	PROPN
fumecheng-751	159	2	.	.	PROPN
fumecheng-751	160	1	b	b	X
fumecheng-751	160	2	,	,	PUNCT
fumecheng-751	160	3	65	65	NUM
fumecheng-751	160	4	,	,	PUNCT
fumecheng-751	160	5	pp	pp	ADJ
fumecheng-751	160	6	.	.	PUNCT
fumecheng-751	161	1	235429	235429	NUM
fumecheng-751	161	2	.	.	PUNCT
fumecheng-751	162	1	13	13	NUM
fumecheng-751	162	2	.	.	PUNCT
fumecheng-751	162	3	corcoran	corcoran	PROPN
fumecheng-751	163	1	s.g	s.g	PROPN
fumecheng-751	163	2	.	.	PROPN
fumecheng-751	163	3	,	,	PUNCT
fumecheng-751	163	4	colton	colton	PROPN
fumecheng-751	163	5	j.	j.	PROPN
fumecheng-751	163	6	,	,	PUNCT
fumecheng-751	163	7	1997	1997	NUM
fumecheng-751	163	8	,	,	PUNCT
fumecheng-751	163	9	anomalous	anomalous	ADJ
fumecheng-751	163	10	plastic	plastic	ADJ
fumecheng-751	163	11	deformation	deformation	NOUN
fumecheng-751	163	12	at	at	ADP
fumecheng-751	163	13	surfaces	surface	NOUN
fumecheng-751	163	14	:	:	PUNCT
fumecheng-751	163	15	nanoindentation	nanoindentation	NOUN
fumecheng-751	163	16	of	of	ADP
fumecheng-751	163	17	gold	gold	ADJ
fumecheng-751	163	18	single	single	ADJ
fumecheng-751	163	19	crystals	crystal	NOUN
fumecheng-751	163	20	,	,	PUNCT
fumecheng-751	163	21	phys	phy	NOUN
fumecheng-751	163	22	.	.	PUNCT
fumecheng-751	164	1	rev	rev	PROPN
fumecheng-751	164	2	.	.	PROPN
fumecheng-751	165	1	b	b	X
fumecheng-751	165	2	,	,	PUNCT
fumecheng-751	165	3	55	55	NUM
fumecheng-751	165	4	pp	pp	NOUN
fumecheng-751	165	5	.	.	PUNCT
fumecheng-751	166	1	r16057	r16057	ADJ
fumecheng-751	166	2	.	.	PUNCT
fumecheng-751	167	1	14	14	NUM
fumecheng-751	167	2	.	.	PUNCT
fumecheng-751	168	1	hess	hess	PROPN
fumecheng-751	168	2	m.	m.	NOUN
fumecheng-751	168	3	,	,	PUNCT
fumecheng-751	168	4	2012	2012	NUM
fumecheng-751	168	5	,	,	PUNCT
fumecheng-751	168	6	on	on	ADP
fumecheng-751	168	7	the	the	DET
fumecheng-751	168	8	reduction	reduction	NOUN
fumecheng-751	168	9	method	method	NOUN
fumecheng-751	168	10	of	of	ADP
fumecheng-751	168	11	dimensionality	dimensionality	NOUN
fumecheng-751	168	12	:	:	PUNCT
fumecheng-751	168	13	the	the	DET
fumecheng-751	168	14	exact	exact	ADJ
fumecheng-751	168	15	mapping	mapping	NOUN
fumecheng-751	168	16	of	of	ADP
fumecheng-751	168	17	axisymmetric	axisymmetric	ADJ
fumecheng-751	168	18	contact	contact	NOUN
fumecheng-751	168	19	problems	problem	NOUN
fumecheng-751	168	20	with	with	ADP
fumecheng-751	168	21	and	and	CCONJ
fumecheng-751	168	22	without	without	ADP
fumecheng-751	168	23	adhesion	adhesion	NOUN
fumecheng-751	168	24	,	,	PUNCT
fumecheng-751	168	25	phys	phy	NOUN
fumecheng-751	168	26	.	.	PUNCT
fumecheng-751	169	1	mesomech	mesomech	NOUN
fumecheng-751	169	2	.	.	PUNCT
fumecheng-751	169	3	,	,	PUNCT
fumecheng-751	169	4	15(5	15(5	NUM
fumecheng-751	169	5	-	-	SYM
fumecheng-751	169	6	6	6	NUM
fumecheng-751	169	7	)	)	PUNCT
fumecheng-751	169	8	,	,	PUNCT
fumecheng-751	169	9	pp	pp	ADP
fumecheng-751	169	10	.	.	PUNCT
fumecheng-751	170	1	264	264	NUM
fumecheng-751	170	2	-	-	SYM
fumecheng-751	170	3	269	269	NUM
fumecheng-751	170	4	.	.	NOUN
fumecheng-751	170	5	15	15	NUM
fumecheng-751	170	6	.	.	PUNCT
fumecheng-751	171	1	popov	popov	PROPN
fumecheng-751	171	2	v.l	v.l	PROPN
fumecheng-751	171	3	.	.	PROPN
fumecheng-751	171	4	,	,	PUNCT
fumecheng-751	171	5	hess	hess	PROPN
fumecheng-751	171	6	m.	m.	NOUN
fumecheng-751	171	7	,	,	PUNCT
fumecheng-751	171	8	2013	2013	NUM
fumecheng-751	171	9	,	,	PUNCT
fumecheng-751	171	10	methode	methode	NOUN
fumecheng-751	171	11	der	der	PROPN
fumecheng-751	171	12	dimensionsreduktion	dimensionsreduktion	NOUN
fumecheng-751	171	13	in	in	ADP
fumecheng-751	171	14	kontaktmechanik	kontaktmechanik	PROPN
fumecheng-751	171	15	und	und	VERB
fumecheng-751	171	16	reibung	reibung	PROPN
fumecheng-751	171	17	–	–	PUNCT
fumecheng-751	171	18	eine	eine	PROPN
fumecheng-751	171	19	berechnungsmethode	berechnungsmethode	NOUN
fumecheng-751	171	20	i	i	PROPN
fumecheng-751	171	21	m	m	VERB
fumecheng-751	171	22	mikround	mikround	NOUN
fumecheng-751	171	23	makrobereich	makrobereich	NOUN
fumecheng-751	171	24	,	,	PUNCT
fumecheng-751	171	25	springer	springer	NOUN
fumecheng-751	171	26	-	-	PUNCT
fumecheng-751	171	27	verlag	verlag	PROPN
fumecheng-751	171	28	.	.	PUNCT
fumecheng-751	172	1	16	16	NUM
fumecheng-751	172	2	.	.	PUNCT
fumecheng-751	173	1	popov	popov	PROPN
fumecheng-751	173	2	v.l	v.l	PROPN
fumecheng-751	173	3	,	,	PUNCT
fumecheng-751	173	4	2013	2013	NUM
fumecheng-751	173	5	,	,	PUNCT
fumecheng-751	173	6	method	method	NOUN
fumecheng-751	173	7	of	of	ADP
fumecheng-751	173	8	reduction	reduction	NOUN
fumecheng-751	173	9	of	of	ADP
fumecheng-751	173	10	dimensionality	dimensionality	NOUN
fumecheng-751	173	11	in	in	ADP
fumecheng-751	173	12	contact	contact	NOUN
fumecheng-751	173	13	and	and	CCONJ
fumecheng-751	173	14	friction	friction	NOUN
fumecheng-751	173	15	mechanics	mechanic	NOUN
fumecheng-751	173	16	:	:	PUNCT
fumecheng-751	173	17	a	a	DET
fumecheng-751	173	18	linkage	linkage	NOUN
fumecheng-751	173	19	between	between	ADP
fumecheng-751	173	20	micro	micro	ADJ
fumecheng-751	173	21	and	and	CCONJ
fumecheng-751	173	22	macro	macro	ADJ
fumecheng-751	173	23	scales	scale	NOUN
fumecheng-751	173	24	,	,	PUNCT
fumecheng-751	173	25	friction	friction	NOUN
fumecheng-751	173	26	,	,	PUNCT
fumecheng-751	173	27	1(1	1(1	NUM
fumecheng-751	173	28	)	)	PUNCT
fumecheng-751	173	29	,	,	PUNCT
fumecheng-751	173	30	pp	pp	ADP
fumecheng-751	173	31	.	.	PUNCT
fumecheng-751	174	1	41	41	NUM
fumecheng-751	174	2	-	-	SYM
fumecheng-751	174	3	62	62	NUM
fumecheng-751	174	4	.	.	PUNCT
fumecheng-751	175	1	17	17	NUM
fumecheng-751	175	2	.	.	PUNCT
fumecheng-751	176	1	popov	popov	PROPN
fumecheng-751	176	2	v.l	v.l	PROPN
fumecheng-751	176	3	.	.	PROPN
fumecheng-751	176	4	,	,	PUNCT
fumecheng-751	176	5	hess	hess	PROPN
fumecheng-751	176	6	m.	m.	NOUN
fumecheng-751	176	7	,	,	PUNCT
fumecheng-751	176	8	2014	2014	NUM
fumecheng-751	176	9	,	,	PUNCT
fumecheng-751	176	10	method	method	NOUN
fumecheng-751	176	11	of	of	ADP
fumecheng-751	176	12	dimensionality	dimensionality	NOUN
fumecheng-751	176	13	reduction	reduction	NOUN
fumecheng-751	176	14	in	in	ADP
fumecheng-751	176	15	contact	contact	NOUN
fumecheng-751	176	16	mechanics	mechanic	NOUN
fumecheng-751	176	17	and	and	CCONJ
fumecheng-751	176	18	friction	friction	NOUN
fumecheng-751	176	19	,	,	PUNCT
fumecheng-751	176	20	springer	springer	NOUN
fumecheng-751	176	21	.	.	PUNCT
fumecheng-751	177	1	18	18	NUM
fumecheng-751	177	2	.	.	PUNCT
fumecheng-751	178	1	popov	popov	PROPN
fumecheng-751	178	2	v.l	v.l	PROPN
fumecheng-751	178	3	.	.	PROPN
fumecheng-751	178	4	,	,	PUNCT
fumecheng-751	178	5	2010	2010	NUM
fumecheng-751	178	6	,	,	PUNCT
fumecheng-751	178	7	contact	contact	NOUN
fumecheng-751	178	8	mechanics	mechanic	NOUN
fumecheng-751	178	9	and	and	CCONJ
fumecheng-751	178	10	friction	friction	NOUN
fumecheng-751	178	11	.	.	PUNCT
fumecheng-751	179	1	physical	physical	ADJ
fumecheng-751	179	2	principles	principle	NOUN
fumecheng-751	179	3	and	and	CCONJ
fumecheng-751	179	4	applications	application	NOUN
fumecheng-751	179	5	,	,	PUNCT
fumecheng-751	179	6	springerverlag	springerverlag	NOUN
fumecheng-751	179	7	,	,	PUNCT
fumecheng-751	179	8	362	362	NUM
fumecheng-751	179	9	pp	pp	NOUN
fumecheng-751	179	10	.	.	PUNCT
fumecheng-751	180	1	19	19	NUM
fumecheng-751	180	2	.	.	X
fumecheng-751	180	3	kleis	kleis	PROPN
fumecheng-751	180	4	i.	i.	PROPN
fumecheng-751	180	5	,	,	PUNCT
fumecheng-751	180	6	kulu	kulu	PROPN
fumecheng-751	180	7	p.	p.	PROPN
fumecheng-751	180	8	,	,	PUNCT
fumecheng-751	180	9	2008	2008	NUM
fumecheng-751	180	10	,	,	PUNCT
fumecheng-751	180	11	solid	solid	ADJ
fumecheng-751	180	12	particle	particle	NOUN
fumecheng-751	180	13	erosion	erosion	NOUN
fumecheng-751	180	14	,	,	PUNCT
fumecheng-751	180	15	occurence	occurence	NOUN
fumecheng-751	180	16	,	,	PUNCT
fumecheng-751	180	17	prediction	prediction	NOUN
fumecheng-751	180	18	and	and	CCONJ
fumecheng-751	180	19	control	control	NOUN
fumecheng-751	180	20	,	,	PUNCT
fumecheng-751	180	21	springer	springer	NOUN
fumecheng-751	180	22	,	,	PUNCT
fumecheng-751	180	23	206	206	NUM
fumecheng-751	180	24	pp	pp	NOUN
fumecheng-751	180	25	.	.	PUNCT
fumecheng-751	181	1	20	20	NUM
fumecheng-751	181	2	.	.	PUNCT
fumecheng-751	182	1	popov	popov	PROPN
fumecheng-751	182	2	v.l	v.l	PROPN
fumecheng-751	182	3	.	.	PROPN
fumecheng-751	182	4	,	,	PUNCT
fumecheng-751	182	5	psakhie	psakhie	PROPN
fumecheng-751	182	6	s.g	s.g	PROPN
fumecheng-751	182	7	.	.	PROPN
fumecheng-751	182	8	,	,	PUNCT
fumecheng-751	182	9	2007	2007	NUM
fumecheng-751	182	10	,	,	PUNCT
fumecheng-751	182	11	numerical	numerical	PROPN
fumecheng-751	182	12	simulation	simulation	NOUN
fumecheng-751	182	13	methods	method	NOUN
fumecheng-751	182	14	in	in	ADP
fumecheng-751	182	15	tribology	tribology	NOUN
fumecheng-751	182	16	,	,	PUNCT
fumecheng-751	182	17	tribology	tribology	PROPN
fumecheng-751	182	18	international	international	PROPN
fumecheng-751	182	19	,	,	PUNCT
fumecheng-751	182	20	40	40	NUM
fumecheng-751	182	21	,	,	PUNCT
fumecheng-751	182	22	pp	pp	ADJ
fumecheng-751	182	23	.	.	PUNCT
fumecheng-751	183	1	916–923	916–923	NUM
fumecheng-751	183	2	.	.	PUNCT
fumecheng-751	184	1	21	21	NUM
fumecheng-751	184	2	.	.	PUNCT
fumecheng-751	185	1	hess	hess	PROPN
fumecheng-751	185	2	m.	m.	NOUN
fumecheng-751	185	3	and	and	CCONJ
fumecheng-751	185	4	popov	popov	PROPN
fumecheng-751	185	5	v.l	v.l	PROPN
fumecheng-751	185	6	.	.	PROPN
fumecheng-751	185	7	,	,	PUNCT
fumecheng-751	185	8	2013	2013	NUM
fumecheng-751	185	9	,	,	PUNCT
fumecheng-751	185	10	wärmeleitung	wärmeleitung	PROPN
fumecheng-751	185	11	und	und	PROPN
fumecheng-751	185	12	wärmeerzeugung	wärmeerzeugung	PROPN
fumecheng-751	185	13	,	,	PUNCT
fumecheng-751	185	14	in	in	ADP
fumecheng-751	185	15	:	:	PUNCT
fumecheng-751	185	16	popov	popov	PROPN
fumecheng-751	185	17	,	,	PUNCT
fumecheng-751	185	18	v.l	v.l	PROPN
fumecheng-751	185	19	.	.	PROPN
fumecheng-751	185	20	and	and	CCONJ
fumecheng-751	185	21	hess	hess	PROPN
fumecheng-751	185	22	,	,	PUNCT
fumecheng-751	185	23	m	m	PROPN
fumecheng-751	185	24	..	..	PUNCT
fumecheng-751	185	25	methode	methode	PROPN
fumecheng-751	185	26	der	der	PROPN
fumecheng-751	185	27	dimensionsreduktion	dimensionsreduktion	NOUN
fumecheng-751	185	28	,	,	PUNCT
fumecheng-751	185	29	springer	springer	NOUN
fumecheng-751	185	30	,	,	PUNCT
fumecheng-751	185	31	pp	pp	ADJ
fumecheng-751	185	32	.	.	PUNCT
fumecheng-751	186	1	115	115	NUM
fumecheng-751	186	2	-	-	SYM
fumecheng-751	186	3	131	131	NUM
fumecheng-751	186	4	.	.	PUNCT
fumecheng-751	187	1	22	22	NUM
fumecheng-751	187	2	.	.	PUNCT
fumecheng-751	188	1	hess	hess	PROPN
fumecheng-751	188	2	m.	m.	NOUN
fumecheng-751	188	3	and	and	CCONJ
fumecheng-751	188	4	popov	popov	PROPN
fumecheng-751	188	5	v.l	v.l	PROPN
fumecheng-751	188	6	.	.	PROPN
fumecheng-751	188	7	,	,	PUNCT
fumecheng-751	188	8	2013	2013	NUM
fumecheng-751	188	9	,	,	PUNCT
fumecheng-751	188	10	exakte	exakte	PROPN
fumecheng-751	188	11	lösungen	lösungen	PROPN
fumecheng-751	188	12	in	in	ADP
fumecheng-751	188	13	drei	drei	PROPN
fumecheng-751	188	14	dimensionen	dimensionen	PROPN
fumecheng-751	188	15	für	für	PROPN
fumecheng-751	188	16	den	den	PROPN
fumecheng-751	188	17	normalkontakt	normalkontakt	PROPN
fumecheng-751	188	18	rotationssymmetrischer	rotationssymmetrischer	PROPN
fumecheng-751	188	19	körper	körper	NOUN
fumecheng-751	188	20	,	,	PUNCT
fumecheng-751	188	21	in	in	ADP
fumecheng-751	188	22	:	:	PUNCT
fumecheng-751	188	23	popov	popov	PROPN
fumecheng-751	188	24	v.l	v.l	PROPN
fumecheng-751	188	25	.	.	PROPN
fumecheng-751	188	26	and	and	CCONJ
fumecheng-751	188	27	hess	hess	PROPN
fumecheng-751	188	28	m.	m.	NOUN
fumecheng-751	188	29	,	,	PUNCT
fumecheng-751	188	30	methode	methode	PROPN
fumecheng-751	188	31	der	der	PROPN
fumecheng-751	188	32	dimensionsreduktion	dimensionsreduktion	NOUN
fumecheng-751	188	33	,	,	PUNCT
fumecheng-751	188	34	springer	springer	NOUN
fumecheng-751	188	35	,	,	PUNCT
fumecheng-751	188	36	pp	pp	ADP
fumecheng-751	188	37	.	.	PUNCT
fumecheng-751	189	1	227	227	NUM
fumecheng-751	189	2	-	-	SYM
fumecheng-751	189	3	239	239	NUM
fumecheng-751	189	4	.	.	PUNCT
fumecheng-751	190	1	23	23	NUM
fumecheng-751	190	2	.	.	PUNCT
fumecheng-751	191	1	hess	hess	PROPN
fumecheng-751	191	2	m.	m.	NOUN
fumecheng-751	191	3	and	and	CCONJ
fumecheng-751	191	4	popov	popov	PROPN
fumecheng-751	191	5	v.l	v.l	PROPN
fumecheng-751	191	6	.	.	PROPN
fumecheng-751	191	7	,	,	PUNCT
fumecheng-751	191	8	2013	2013	NUM
fumecheng-751	191	9	,	,	PUNCT
fumecheng-751	191	10	exakte	exakte	PROPN
fumecheng-751	191	11	lösungen	lösungen	PROPN
fumecheng-751	191	12	in	in	ADP
fumecheng-751	191	13	drei	drei	PROPN
fumecheng-751	191	14	dimensionen	dimensionen	PROPN
fumecheng-751	191	15	für	für	PROPN
fumecheng-751	191	16	den	den	PROPN
fumecheng-751	191	17	tangentialkontakt	tangentialkontakt	NOUN
fumecheng-751	191	18	rotationssymmetrischer	rotationssymmetrischer	PROPN
fumecheng-751	191	19	körper	körper	NOUN
fumecheng-751	191	20	,	,	PUNCT
fumecheng-751	191	21	in	in	ADP
fumecheng-751	191	22	:	:	PUNCT
fumecheng-751	191	23	popov	popov	PROPN
fumecheng-751	191	24	v.l	v.l	PROPN
fumecheng-751	191	25	.	.	PROPN
fumecheng-751	191	26	and	and	CCONJ
fumecheng-751	191	27	hess	hess	PROPN
fumecheng-751	191	28	m.	m.	NOUN
fumecheng-751	191	29	(	(	PUNCT
fumecheng-751	191	30	eds	ed	NOUN
fumecheng-751	191	31	.	.	PUNCT
fumecheng-751	191	32	)	)	PUNCT
fumecheng-751	191	33	,	,	PUNCT
fumecheng-751	191	34	methode	methode	NOUN
fumecheng-751	191	35	der	der	PROPN
fumecheng-751	191	36	dimensionsreduktion	dimensionsreduktion	NOUN
fumecheng-751	191	37	,	,	PUNCT
fumecheng-751	191	38	springer	springer	NOUN
fumecheng-751	191	39	,	,	PUNCT
fumecheng-751	191	40	pp	pp	ADP
fumecheng-751	191	41	.	.	PUNCT
fumecheng-751	192	1	227	227	NUM
fumecheng-751	192	2	-	-	SYM
fumecheng-751	192	3	239	239	NUM
fumecheng-751	192	4	.	.	PUNCT
fumecheng-751	193	1	analysis	analysis	NOUN
fumecheng-751	193	2	of	of	ADP
fumecheng-751	193	3	impact	impact	NOUN
fumecheng-751	193	4	on	on	ADP
fumecheng-751	193	5	composite	composite	ADJ
fumecheng-751	193	6	structures	structure	NOUN
fumecheng-751	193	7	with	with	ADP
fumecheng-751	193	8	the	the	DET
fumecheng-751	193	9	method	method	NOUN
fumecheng-751	193	10	of	of	ADP
fumecheng-751	193	11	dimensionality	dimensionality	NOUN
fumecheng-751	193	12	reduction	reduction	NOUN
fumecheng-751	193	13	1	1	NUM
fumecheng-751	193	14	.	.	PUNCT
fumecheng-751	193	15	introduction	introduction	NOUN
fumecheng-751	193	16	2	2	NUM
fumecheng-751	193	17	.	.	PUNCT
fumecheng-751	193	18	method	method	NOUN
fumecheng-751	193	19	of	of	ADP
fumecheng-751	193	20	dimensionality	dimensionality	NOUN
fumecheng-751	193	21	reduction	reduction	NOUN
fumecheng-751	193	22	3	3	NUM
fumecheng-751	193	23	.	.	PUNCT
fumecheng-751	193	24	plasticity	plasticity	NOUN
fumecheng-751	193	25	criterion	criterion	NOUN
fumecheng-751	193	26	in	in	ADP
fumecheng-751	193	27	the	the	DET
fumecheng-751	193	28	method	method	NOUN
fumecheng-751	193	29	of	of	ADP
fumecheng-751	193	30	dimensionality	dimensionality	NOUN
fumecheng-751	193	31	reduction	reduction	NOUN
fumecheng-751	193	32	4	4	NUM
fumecheng-751	193	33	.	.	PUNCT
fumecheng-751	193	34	impact	impact	NOUN
fumecheng-751	193	35	of	of	ADP
fumecheng-751	193	36	conical	conical	ADJ
fumecheng-751	193	37	profiles	profile	NOUN
fumecheng-751	193	38	on	on	ADP
fumecheng-751	193	39	the	the	DET
fumecheng-751	193	40	material	material	NOUN
fumecheng-751	193	41	with	with	ADP
fumecheng-751	193	42	a	a	DET
fumecheng-751	193	43	non	non	ADJ
fumecheng-751	193	44	-	-	ADJ
fumecheng-751	193	45	local	local	ADJ
fumecheng-751	193	46	yield	yield	NOUN
fumecheng-751	193	47	criterion	criterion	NOUN
fumecheng-751	193	48	5	5	NUM
fumecheng-751	193	49	.	.	PUNCT
fumecheng-751	194	1	conclusion	conclusion	NOUN
fumecheng-751	194	2	references	reference	NOUN